%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ALG067+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 : n023.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 04:18:23 EDT 2024

% Result   : Theorem 0.21s 0.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f393,plain,
    $false,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f94,f93,f92,f361,f97,f96,f100,f99,f103,f102,f106,f105,f109,f108,f112,f111,f110,f363,f115,f114,f118,f117,f121,f120,f124,f123,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86,f383,f89,f384,f95,f385,f98,f386,f101,f387,f104,f388,f107,f389,f113,f390,f116,f391,f119,f392,f122]) ).

fof(f122,plain,
    ( op(e0,e0) = e2
    | ~ sP2 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ( e0 != op(e0,e2)
      & e0 = op(e2,e2)
      & op(e0,e0) = e2 )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,plain,
    ( ( e0 != op(e0,e2)
      & e0 = op(e2,e2)
      & op(e0,e0) = e2 )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f392,plain,
    ~ sP3,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f94,f93,f92,f361,f97,f96,f100,f99,f103,f102,f106,f105,f109,f108,f112,f111,f110,f363,f115,f114,f118,f117,f121,f120,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86,f383,f89,f384,f95,f385,f98,f386,f101,f387,f104,f388,f107,f389,f113,f390,f116,f391,f119]) ).

fof(f119,plain,
    ( op(e0,e0) = e3
    | ~ sP3 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ( e0 != op(e0,e3)
      & e0 = op(e3,e3)
      & op(e0,e0) = e3 )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,plain,
    ( ( e0 != op(e0,e3)
      & e0 = op(e3,e3)
      & op(e0,e0) = e3 )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f391,plain,
    ~ sP4,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f94,f93,f92,f361,f97,f96,f100,f99,f103,f102,f106,f105,f109,f108,f112,f111,f110,f363,f115,f114,f118,f117,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86,f383,f89,f384,f95,f385,f98,f386,f101,f387,f104,f388,f107,f389,f113,f390,f116]) ).

fof(f116,plain,
    ( op(e0,e0) = e4
    | ~ sP4 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( ( e0 != op(e0,e4)
      & e0 = op(e4,e4)
      & op(e0,e0) = e4 )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ( ( e0 != op(e0,e4)
      & e0 = op(e4,e4)
      & op(e0,e0) = e4 )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f390,plain,
    ~ sP5,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f94,f93,f92,f361,f97,f96,f100,f99,f103,f102,f106,f105,f109,f108,f112,f111,f110,f363,f115,f114,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86,f383,f89,f384,f95,f385,f98,f386,f101,f387,f104,f388,f107,f389,f113]) ).

fof(f113,plain,
    ( e0 = op(e1,e1)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ( e1 != op(e1,e0)
      & op(e0,e0) = e1
      & e0 = op(e1,e1) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( ( e1 != op(e1,e0)
      & op(e0,e0) = e1
      & e0 = op(e1,e1) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f389,plain,
    ~ sP7,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f94,f93,f92,f361,f97,f96,f100,f99,f103,f102,f106,f105,f109,f108,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86,f383,f89,f384,f95,f385,f98,f386,f101,f387,f104,f388,f107]) ).

fof(f107,plain,
    ( e2 = op(e1,e1)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( ( e1 != op(e1,e2)
      & e1 = op(e2,e2)
      & e2 = op(e1,e1) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ( ( e1 != op(e1,e2)
      & e1 = op(e2,e2)
      & e2 = op(e1,e1) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f388,plain,
    ~ sP8,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f94,f93,f92,f361,f97,f96,f100,f99,f103,f102,f106,f105,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86,f383,f89,f384,f95,f385,f98,f386,f101,f387,f104]) ).

fof(f104,plain,
    ( e3 = op(e1,e1)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( ( e1 != op(e1,e3)
      & e1 = op(e3,e3)
      & e3 = op(e1,e1) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ( e1 != op(e1,e3)
      & e1 = op(e3,e3)
      & e3 = op(e1,e1) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f387,plain,
    ~ sP9,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f94,f93,f92,f361,f97,f96,f100,f99,f103,f102,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86,f383,f89,f384,f95,f385,f98,f386,f101]) ).

fof(f101,plain,
    ( e4 = op(e1,e1)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ( e1 != op(e1,e4)
      & e1 = op(e4,e4)
      & e4 = op(e1,e1) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( ( e1 != op(e1,e4)
      & e1 = op(e4,e4)
      & e4 = op(e1,e1) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f386,plain,
    ~ sP10,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f94,f93,f92,f361,f97,f96,f100,f99,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86,f383,f89,f384,f95,f385,f98]) ).

fof(f98,plain,
    ( e0 = op(e2,e2)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( ( e2 != op(e2,e0)
      & op(e0,e0) = e2
      & e0 = op(e2,e2) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( ( e2 != op(e2,e0)
      & op(e0,e0) = e2
      & e0 = op(e2,e2) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f385,plain,
    ~ sP11,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f94,f93,f92,f361,f97,f96,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86,f383,f89,f384,f95]) ).

fof(f95,plain,
    ( e1 = op(e2,e2)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ( e2 != op(e2,e1)
      & e2 = op(e1,e1)
      & e1 = op(e2,e2) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( ( e2 != op(e2,e1)
      & e2 = op(e1,e1)
      & e1 = op(e2,e2) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f384,plain,
    ~ sP13,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f94,f93,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86,f383,f89]) ).

fof(f89,plain,
    ( e3 = op(e2,e2)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( ( e2 != op(e2,e3)
      & e2 = op(e3,e3)
      & e3 = op(e2,e2) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f23,plain,
    ( ( e2 != op(e2,e3)
      & e2 = op(e3,e3)
      & e3 = op(e2,e2) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f383,plain,
    ~ sP14,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f91,f90,f89,f94,f93,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83,f382,f86]) ).

fof(f86,plain,
    ( e4 = op(e2,e2)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ( e2 != op(e2,e4)
      & e2 = op(e4,e4)
      & e4 = op(e2,e2) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( ( e2 != op(e2,e4)
      & e2 = op(e4,e4)
      & e4 = op(e2,e2) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f382,plain,
    ~ sP15,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f88,f87,f86,f91,f90,f89,f94,f93,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80,f381,f83]) ).

fof(f83,plain,
    ( e0 = op(e3,e3)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ( e3 != op(e3,e0)
      & op(e0,e0) = e3
      & e0 = op(e3,e3) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ( e3 != op(e3,e0)
      & op(e0,e0) = e3
      & e0 = op(e3,e3) )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f381,plain,
    ~ sP16,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77,f380,f80]) ).

fof(f80,plain,
    ( e1 = op(e3,e3)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( ( e3 != op(e3,e1)
      & e3 = op(e1,e1)
      & e1 = op(e3,e3) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( ( e3 != op(e3,e1)
      & e3 = op(e1,e1)
      & e1 = op(e3,e3) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f380,plain,
    ~ sP17,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71,f379,f77]) ).

fof(f77,plain,
    ( e2 = op(e3,e3)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( ( e3 != op(e3,e2)
      & e3 = op(e2,e2)
      & e2 = op(e3,e3) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ( ( e3 != op(e3,e2)
      & e3 = op(e2,e2)
      & e2 = op(e3,e3) )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f379,plain,
    ~ sP19,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f76,f75,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68,f378,f71]) ).

fof(f71,plain,
    ( e4 = op(e3,e3)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( ( e3 != op(e3,e4)
      & e3 = op(e4,e4)
      & e4 = op(e3,e3) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( ( e3 != op(e3,e4)
      & e3 = op(e4,e4)
      & e4 = op(e3,e3) )
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f378,plain,
    ~ sP20,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f73,f72,f71,f76,f75,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65,f377,f68]) ).

fof(f68,plain,
    ( e0 = op(e4,e4)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ( e4 != op(e4,e0)
      & op(e0,e0) = e4
      & e0 = op(e4,e4) )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( ( e4 != op(e4,e0)
      & op(e0,e0) = e4
      & e0 = op(e4,e4) )
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f377,plain,
    ~ sP21,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f70,f69,f68,f73,f72,f71,f76,f75,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62,f376,f65]) ).

fof(f65,plain,
    ( e1 = op(e4,e4)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( ( e4 != op(e4,e1)
      & e4 = op(e1,e1)
      & e1 = op(e4,e4) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ( e4 != op(e4,e1)
      & e4 = op(e1,e1)
      & e1 = op(e4,e4) )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f376,plain,
    ~ sP22,
    inference(global_subsumption,[],[f61,f60,f64,f63,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59,f375,f62]) ).

fof(f62,plain,
    ( e2 = op(e4,e4)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ( e4 != op(e4,e2)
      & e4 = op(e2,e2)
      & e2 = op(e4,e4) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( ( e4 != op(e4,e2)
      & e4 = op(e2,e2)
      & e2 = op(e4,e4) )
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f375,plain,
    ~ sP23,
    inference(global_subsumption,[],[f61,f60,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f179,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347,f374,f346,f345,f344,f343,f342,f341,f340,f339,f338,f337,f336,f335,f334,f333,f358,f360,f362,f364,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f281,f282,f59]) ).

fof(f59,plain,
    ( e3 = op(e4,e4)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( ( e4 != op(e4,e3)
      & e4 = op(e3,e3)
      & e3 = op(e4,e4) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( ( e4 != op(e4,e3)
      & e4 = op(e3,e3)
      & e3 = op(e4,e4) )
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f282,plain,
    e3 = op(e2,e4),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f281,plain,
    e1 = op(e4,e2),
    inference(cnf_transformation,[],[f6]) ).

fof(f178,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f177,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f176,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f175,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f174,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f173,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f172,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f171,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f170,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f169,plain,
    e0 = op(unit,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f168,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

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

fof(f167,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f165,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f364,plain,
    ~ sP0,
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129]) ).

fof(f362,plain,
    ~ sP6,
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111]) ).

fof(f360,plain,
    ~ sP12,
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93]) ).

fof(f358,plain,
    ~ sP18,
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75]) ).

fof(f333,plain,
    ( op(e0,e0) = e4
    | op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f334,plain,
    ( e4 = op(e0,e1)
    | e3 = op(e0,e1)
    | e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f335,plain,
    ( e4 = op(e0,e2)
    | e3 = op(e0,e2)
    | e2 = op(e0,e2)
    | e1 = op(e0,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f336,plain,
    ( e4 = op(e0,e3)
    | e3 = op(e0,e3)
    | e2 = op(e0,e3)
    | e1 = op(e0,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f337,plain,
    ( e4 = op(e0,e4)
    | e3 = op(e0,e4)
    | e2 = op(e0,e4)
    | e1 = op(e0,e4)
    | e0 = op(e0,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f338,plain,
    ( e4 = op(e1,e0)
    | e3 = op(e1,e0)
    | e2 = op(e1,e0)
    | e1 = op(e1,e0)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f339,plain,
    ( e4 = op(e1,e1)
    | e3 = op(e1,e1)
    | e2 = op(e1,e1)
    | e1 = op(e1,e1)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f340,plain,
    ( e4 = op(e1,e2)
    | e3 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f341,plain,
    ( e4 = op(e1,e3)
    | e3 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f342,plain,
    ( e4 = op(e1,e4)
    | e3 = op(e1,e4)
    | e2 = op(e1,e4)
    | e1 = op(e1,e4)
    | e0 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f343,plain,
    ( e4 = op(e2,e0)
    | e3 = op(e2,e0)
    | e2 = op(e2,e0)
    | e1 = op(e2,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f344,plain,
    ( e4 = op(e2,e1)
    | e3 = op(e2,e1)
    | e2 = op(e2,e1)
    | e1 = op(e2,e1)
    | e0 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f345,plain,
    ( e4 = op(e2,e2)
    | e3 = op(e2,e2)
    | e2 = op(e2,e2)
    | e1 = op(e2,e2)
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f346,plain,
    ( e4 = op(e2,e3)
    | e3 = op(e2,e3)
    | e2 = op(e2,e3)
    | e1 = op(e2,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f374,plain,
    e3 = op(e2,e4),
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f364,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f282,f281,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355,f373,f354,f353,f352,f351,f350,f349,f348,f347]) ).

fof(f347,plain,
    ( e4 = op(e2,e4)
    | e3 = op(e2,e4)
    | e2 = op(e2,e4)
    | e1 = op(e2,e4)
    | e0 = op(e2,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f348,plain,
    ( e4 = op(e3,e0)
    | e3 = op(e3,e0)
    | e2 = op(e3,e0)
    | e1 = op(e3,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f349,plain,
    ( e4 = op(e3,e1)
    | e3 = op(e3,e1)
    | e2 = op(e3,e1)
    | e1 = op(e3,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f350,plain,
    ( e4 = op(e3,e2)
    | e3 = op(e3,e2)
    | e2 = op(e3,e2)
    | e1 = op(e3,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f351,plain,
    ( e4 = op(e3,e3)
    | e3 = op(e3,e3)
    | e2 = op(e3,e3)
    | e1 = op(e3,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f352,plain,
    ( e4 = op(e3,e4)
    | e3 = op(e3,e4)
    | e2 = op(e3,e4)
    | e1 = op(e3,e4)
    | e0 = op(e3,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f353,plain,
    ( e4 = op(e4,e0)
    | e3 = op(e4,e0)
    | e2 = op(e4,e0)
    | e1 = op(e4,e0)
    | e0 = op(e4,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f354,plain,
    ( e4 = op(e4,e1)
    | e3 = op(e4,e1)
    | e2 = op(e4,e1)
    | e1 = op(e4,e1)
    | e0 = op(e4,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f373,plain,
    e1 = op(e4,e2),
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f364,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f282,f281,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306,f372,f305,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285,f284,f283,f357,f356,f355]) ).

fof(f355,plain,
    ( e4 = op(e4,e2)
    | e3 = op(e4,e2)
    | e2 = op(e4,e2)
    | e1 = op(e4,e2)
    | e0 = op(e4,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f356,plain,
    ( e4 = op(e4,e3)
    | e3 = op(e4,e3)
    | e2 = op(e4,e3)
    | e1 = op(e4,e3)
    | e0 = op(e4,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f357,plain,
    ( e4 = op(e4,e4)
    | e3 = op(e4,e4)
    | e2 = op(e4,e4)
    | e1 = op(e4,e4)
    | e0 = op(e4,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f283,plain,
    ( e0 = op(e0,e4)
    | e0 = op(e0,e3)
    | e0 = op(e0,e2)
    | e0 = op(e0,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f284,plain,
    ( e0 = op(e4,e0)
    | e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f285,plain,
    ( e1 = op(e0,e4)
    | e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f286,plain,
    ( e1 = op(e4,e0)
    | e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f287,plain,
    ( e2 = op(e0,e4)
    | e2 = op(e0,e3)
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f288,plain,
    ( e2 = op(e4,e0)
    | e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f289,plain,
    ( e3 = op(e0,e4)
    | e3 = op(e0,e3)
    | e3 = op(e0,e2)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f290,plain,
    ( e3 = op(e4,e0)
    | e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f291,plain,
    ( e4 = op(e0,e4)
    | e4 = op(e0,e3)
    | e4 = op(e0,e2)
    | e4 = op(e0,e1)
    | op(e0,e0) = e4 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f292,plain,
    ( e4 = op(e4,e0)
    | e4 = op(e3,e0)
    | e4 = op(e2,e0)
    | e4 = op(e1,e0)
    | op(e0,e0) = e4 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f293,plain,
    ( e0 = op(e1,e4)
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f294,plain,
    ( e0 = op(e4,e1)
    | e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f295,plain,
    ( e1 = op(e1,e4)
    | e1 = op(e1,e3)
    | e1 = op(e1,e2)
    | e1 = op(e1,e1)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f296,plain,
    ( e1 = op(e4,e1)
    | e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f297,plain,
    ( e2 = op(e1,e4)
    | e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f298,plain,
    ( e2 = op(e4,e1)
    | e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | e2 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f299,plain,
    ( e3 = op(e1,e4)
    | e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f300,plain,
    ( e3 = op(e4,e1)
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f301,plain,
    ( e4 = op(e1,e4)
    | e4 = op(e1,e3)
    | e4 = op(e1,e2)
    | e4 = op(e1,e1)
    | e4 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f302,plain,
    ( e4 = op(e4,e1)
    | e4 = op(e3,e1)
    | e4 = op(e2,e1)
    | e4 = op(e1,e1)
    | e4 = op(e0,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f303,plain,
    ( e0 = op(e2,e4)
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f304,plain,
    ( e0 = op(e4,e2)
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f305,plain,
    ( e1 = op(e2,e4)
    | e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f372,plain,
    e1 = op(e4,e2),
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f364,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f282,f281,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f371,f308,f307,f306]) ).

fof(f306,plain,
    ( e1 = op(e4,e2)
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e1,e2)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f307,plain,
    ( e2 = op(e2,e4)
    | e2 = op(e2,e3)
    | e2 = op(e2,e2)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f308,plain,
    ( e2 = op(e4,e2)
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f371,plain,
    e3 = op(e2,e4),
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f364,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f282,f281,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325,f370,f324,f323,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309]) ).

fof(f309,plain,
    ( e3 = op(e2,e4)
    | e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f310,plain,
    ( e3 = op(e4,e2)
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f311,plain,
    ( e4 = op(e2,e4)
    | e4 = op(e2,e3)
    | e4 = op(e2,e2)
    | e4 = op(e2,e1)
    | e4 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f312,plain,
    ( e4 = op(e4,e2)
    | e4 = op(e3,e2)
    | e4 = op(e2,e2)
    | e4 = op(e1,e2)
    | e4 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f313,plain,
    ( e0 = op(e3,e4)
    | e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f314,plain,
    ( e0 = op(e4,e3)
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f315,plain,
    ( e1 = op(e3,e4)
    | e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e1)
    | e1 = op(e3,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f316,plain,
    ( e1 = op(e4,e3)
    | e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f317,plain,
    ( e2 = op(e3,e4)
    | e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f318,plain,
    ( e2 = op(e4,e3)
    | e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f319,plain,
    ( e3 = op(e3,e4)
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f320,plain,
    ( e3 = op(e4,e3)
    | e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f321,plain,
    ( e4 = op(e3,e4)
    | e4 = op(e3,e3)
    | e4 = op(e3,e2)
    | e4 = op(e3,e1)
    | e4 = op(e3,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f322,plain,
    ( e4 = op(e4,e3)
    | e4 = op(e3,e3)
    | e4 = op(e2,e3)
    | e4 = op(e1,e3)
    | e4 = op(e0,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f323,plain,
    ( e0 = op(e4,e4)
    | e0 = op(e4,e3)
    | e0 = op(e4,e2)
    | e0 = op(e4,e1)
    | e0 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f324,plain,
    ( e0 = op(e4,e4)
    | e0 = op(e3,e4)
    | e0 = op(e2,e4)
    | e0 = op(e1,e4)
    | e0 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f370,plain,
    e1 = op(e4,e2),
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f364,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f282,f281,f280,f332,f331,f330,f369,f329,f328,f327,f326,f325]) ).

fof(f325,plain,
    ( e1 = op(e4,e4)
    | e1 = op(e4,e3)
    | e1 = op(e4,e2)
    | e1 = op(e4,e1)
    | e1 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f326,plain,
    ( e1 = op(e4,e4)
    | e1 = op(e3,e4)
    | e1 = op(e2,e4)
    | e1 = op(e1,e4)
    | e1 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f327,plain,
    ( e2 = op(e4,e4)
    | e2 = op(e4,e3)
    | e2 = op(e4,e2)
    | e2 = op(e4,e1)
    | e2 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f328,plain,
    ( e2 = op(e4,e4)
    | e2 = op(e3,e4)
    | e2 = op(e2,e4)
    | e2 = op(e1,e4)
    | e2 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f329,plain,
    ( e3 = op(e4,e4)
    | e3 = op(e4,e3)
    | e3 = op(e4,e2)
    | e3 = op(e4,e1)
    | e3 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f369,plain,
    e3 = op(e2,e4),
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f364,f128,f365,f158,f366,f157,f367,f156,f368,f154,f153,f152,f151,f150,f148,f147,f146,f145,f144,f142,f141,f140,f139,f138,f136,f135,f134,f133,f132,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f279,f278,f277,f276,f275,f274,f273,f272,f271,f270,f269,f268,f267,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205,f204,f203,f202,f201,f200,f199,f198,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f282,f281,f280,f332,f331,f330]) ).

fof(f330,plain,
    ( e3 = op(e4,e4)
    | e3 = op(e3,e4)
    | e3 = op(e2,e4)
    | e3 = op(e1,e4)
    | e3 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f331,plain,
    ( e4 = op(e4,e4)
    | e4 = op(e4,e3)
    | e4 = op(e4,e2)
    | e4 = op(e4,e1)
    | e4 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f332,plain,
    ( e4 = op(e4,e4)
    | e4 = op(e3,e4)
    | e4 = op(e2,e4)
    | e4 = op(e1,e4)
    | e4 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f280,plain,
    e0 = op(op(e4,e2),op(e4,e2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f180,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f181,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f182,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f183,plain,
    op(e0,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f184,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f185,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f186,plain,
    op(e1,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f187,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f188,plain,
    op(e2,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f189,plain,
    op(e3,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f190,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f191,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f192,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f193,plain,
    op(e0,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f194,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f195,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f196,plain,
    op(e1,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f197,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f198,plain,
    op(e2,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f199,plain,
    op(e3,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f200,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f201,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f202,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f203,plain,
    op(e0,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f204,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f205,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f206,plain,
    op(e1,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f207,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f208,plain,
    op(e2,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f209,plain,
    op(e3,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f210,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f211,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f212,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f213,plain,
    op(e0,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f214,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f215,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f216,plain,
    op(e1,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f217,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f218,plain,
    op(e2,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f219,plain,
    op(e3,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f220,plain,
    op(e0,e4) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f221,plain,
    op(e0,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f222,plain,
    op(e0,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f223,plain,
    op(e0,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f224,plain,
    op(e1,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f225,plain,
    op(e1,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f226,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f227,plain,
    op(e2,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f228,plain,
    op(e2,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f229,plain,
    op(e3,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f230,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f231,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f232,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f233,plain,
    op(e0,e0) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f234,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f235,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f236,plain,
    op(e0,e1) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f237,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f238,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f239,plain,
    op(e0,e3) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f240,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f241,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f242,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f243,plain,
    op(e1,e0) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f244,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f245,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f246,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f247,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f248,plain,
    op(e1,e2) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f249,plain,
    op(e1,e3) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f250,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f251,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f252,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f253,plain,
    op(e2,e0) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f254,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f255,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f256,plain,
    op(e2,e1) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f257,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f258,plain,
    op(e2,e2) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f259,plain,
    op(e2,e3) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f260,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f261,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f262,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f263,plain,
    op(e3,e0) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f264,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f265,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f266,plain,
    op(e3,e1) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f267,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f268,plain,
    op(e3,e2) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f269,plain,
    op(e3,e3) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f270,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f271,plain,
    op(e4,e0) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f272,plain,
    op(e4,e0) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f273,plain,
    op(e4,e0) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f274,plain,
    op(e4,e1) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f275,plain,
    op(e4,e1) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f276,plain,
    op(e4,e1) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f277,plain,
    op(e4,e2) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f278,plain,
    op(e4,e2) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f279,plain,
    op(e4,e3) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f179,plain,
    ( e4 = unit
    | e3 = unit
    | e2 = unit
    | e1 = unit
    | e0 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f132,plain,
    ( e0 = op(e0,e1)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( ( ( e4 != op(e4,e4)
        & e4 = op(e4,e4)
        & e4 = op(e4,e4) )
      | sP23
      | sP22
      | sP21
      | sP20
      | sP19
      | sP18
      | sP17
      | sP16
      | sP15
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 )
    & ( e4 = op(e4,e4)
      | e4 != op(e4,e4) )
    & ( e4 = op(e4,e3)
      | e3 != op(e4,e4) )
    & ( e4 = op(e4,e2)
      | e2 != op(e4,e4) )
    & ( e4 = op(e4,e1)
      | e1 != op(e4,e4) )
    & ( e4 = op(e4,e0)
      | e0 != op(e4,e4) )
    & ( e3 = op(e3,e4)
      | e4 != op(e3,e3) )
    & ( e3 = op(e3,e3)
      | e3 != op(e3,e3) )
    & ( e3 = op(e3,e2)
      | e2 != op(e3,e3) )
    & ( e3 = op(e3,e1)
      | e1 != op(e3,e3) )
    & ( e3 = op(e3,e0)
      | e0 != op(e3,e3) )
    & ( e2 = op(e2,e4)
      | e4 != op(e2,e2) )
    & ( e2 = op(e2,e3)
      | e3 != op(e2,e2) )
    & ( e2 = op(e2,e2)
      | e2 != op(e2,e2) )
    & ( e2 = op(e2,e1)
      | e1 != op(e2,e2) )
    & ( e2 = op(e2,e0)
      | e0 != op(e2,e2) )
    & ( e1 = op(e1,e4)
      | e4 != op(e1,e1) )
    & ( e1 = op(e1,e3)
      | e3 != op(e1,e1) )
    & ( e1 = op(e1,e2)
      | e2 != op(e1,e1) )
    & ( e1 = op(e1,e1)
      | e1 != op(e1,e1) )
    & ( e1 = op(e1,e0)
      | e0 != op(e1,e1) )
    & ( e0 = op(e0,e4)
      | op(e0,e0) != e4 )
    & ( e0 = op(e0,e3)
      | op(e0,e0) != e3 )
    & ( e0 = op(e0,e2)
      | op(e0,e0) != e2 )
    & ( e0 = op(e0,e1)
      | op(e0,e0) != e1 )
    & ( e0 = op(e0,e0)
      | e0 != op(e0,e0) ) ),
    inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    ( ( e0 != op(e0,e0)
      & e0 = op(e0,e0)
      & e0 = op(e0,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f11,plain,
    ( ( e0 != op(e0,e1)
      & e0 = op(e1,e1)
      & op(e0,e0) = e1 )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f16,plain,
    ( ( e1 != op(e1,e1)
      & e1 = op(e1,e1)
      & e1 = op(e1,e1) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f22,plain,
    ( ( e2 != op(e2,e2)
      & e2 = op(e2,e2)
      & e2 = op(e2,e2) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f28,plain,
    ( ( e3 != op(e3,e3)
      & e3 = op(e3,e3)
      & e3 = op(e3,e3) )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f9,plain,
    ( ( ( e4 != op(e4,e4)
        & e4 = op(e4,e4)
        & e4 = op(e4,e4) )
      | ( e4 != op(e4,e3)
        & e4 = op(e3,e3)
        & e3 = op(e4,e4) )
      | ( e4 != op(e4,e2)
        & e4 = op(e2,e2)
        & e2 = op(e4,e4) )
      | ( e4 != op(e4,e1)
        & e4 = op(e1,e1)
        & e1 = op(e4,e4) )
      | ( e4 != op(e4,e0)
        & op(e0,e0) = e4
        & e0 = op(e4,e4) )
      | ( e3 != op(e3,e4)
        & e3 = op(e4,e4)
        & e4 = op(e3,e3) )
      | ( e3 != op(e3,e3)
        & e3 = op(e3,e3)
        & e3 = op(e3,e3) )
      | ( e3 != op(e3,e2)
        & e3 = op(e2,e2)
        & e2 = op(e3,e3) )
      | ( e3 != op(e3,e1)
        & e3 = op(e1,e1)
        & e1 = op(e3,e3) )
      | ( e3 != op(e3,e0)
        & op(e0,e0) = e3
        & e0 = op(e3,e3) )
      | ( e2 != op(e2,e4)
        & e2 = op(e4,e4)
        & e4 = op(e2,e2) )
      | ( e2 != op(e2,e3)
        & e2 = op(e3,e3)
        & e3 = op(e2,e2) )
      | ( e2 != op(e2,e2)
        & e2 = op(e2,e2)
        & e2 = op(e2,e2) )
      | ( e2 != op(e2,e1)
        & e2 = op(e1,e1)
        & e1 = op(e2,e2) )
      | ( e2 != op(e2,e0)
        & op(e0,e0) = e2
        & e0 = op(e2,e2) )
      | ( e1 != op(e1,e4)
        & e1 = op(e4,e4)
        & e4 = op(e1,e1) )
      | ( e1 != op(e1,e3)
        & e1 = op(e3,e3)
        & e3 = op(e1,e1) )
      | ( e1 != op(e1,e2)
        & e1 = op(e2,e2)
        & e2 = op(e1,e1) )
      | ( e1 != op(e1,e1)
        & e1 = op(e1,e1)
        & e1 = op(e1,e1) )
      | ( e1 != op(e1,e0)
        & op(e0,e0) = e1
        & e0 = op(e1,e1) )
      | ( e0 != op(e0,e4)
        & e0 = op(e4,e4)
        & op(e0,e0) = e4 )
      | ( e0 != op(e0,e3)
        & e0 = op(e3,e3)
        & op(e0,e0) = e3 )
      | ( e0 != op(e0,e2)
        & e0 = op(e2,e2)
        & op(e0,e0) = e2 )
      | ( e0 != op(e0,e1)
        & e0 = op(e1,e1)
        & op(e0,e0) = e1 )
      | ( e0 != op(e0,e0)
        & e0 = op(e0,e0)
        & e0 = op(e0,e0) ) )
    & ( e4 = op(e4,e4)
      | e4 != op(e4,e4) )
    & ( e4 = op(e4,e3)
      | e3 != op(e4,e4) )
    & ( e4 = op(e4,e2)
      | e2 != op(e4,e4) )
    & ( e4 = op(e4,e1)
      | e1 != op(e4,e4) )
    & ( e4 = op(e4,e0)
      | e0 != op(e4,e4) )
    & ( e3 = op(e3,e4)
      | e4 != op(e3,e3) )
    & ( e3 = op(e3,e3)
      | e3 != op(e3,e3) )
    & ( e3 = op(e3,e2)
      | e2 != op(e3,e3) )
    & ( e3 = op(e3,e1)
      | e1 != op(e3,e3) )
    & ( e3 = op(e3,e0)
      | e0 != op(e3,e3) )
    & ( e2 = op(e2,e4)
      | e4 != op(e2,e2) )
    & ( e2 = op(e2,e3)
      | e3 != op(e2,e2) )
    & ( e2 = op(e2,e2)
      | e2 != op(e2,e2) )
    & ( e2 = op(e2,e1)
      | e1 != op(e2,e2) )
    & ( e2 = op(e2,e0)
      | e0 != op(e2,e2) )
    & ( e1 = op(e1,e4)
      | e4 != op(e1,e1) )
    & ( e1 = op(e1,e3)
      | e3 != op(e1,e1) )
    & ( e1 = op(e1,e2)
      | e2 != op(e1,e1) )
    & ( e1 = op(e1,e1)
      | e1 != op(e1,e1) )
    & ( e1 = op(e1,e0)
      | e0 != op(e1,e1) )
    & ( e0 = op(e0,e4)
      | op(e0,e0) != e4 )
    & ( e0 = op(e0,e3)
      | op(e0,e0) != e3 )
    & ( e0 = op(e0,e2)
      | op(e0,e0) != e2 )
    & ( e0 = op(e0,e1)
      | op(e0,e0) != e1 )
    & ( e0 = op(e0,e0)
      | e0 != op(e0,e0) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ~ ( ( ( e4 != op(e4,e4)
            & e4 = op(e4,e4)
            & e4 = op(e4,e4) )
          | ( e4 != op(e4,e3)
            & e4 = op(e3,e3)
            & e3 = op(e4,e4) )
          | ( e4 != op(e4,e2)
            & e4 = op(e2,e2)
            & e2 = op(e4,e4) )
          | ( e4 != op(e4,e1)
            & e4 = op(e1,e1)
            & e1 = op(e4,e4) )
          | ( e4 != op(e4,e0)
            & op(e0,e0) = e4
            & e0 = op(e4,e4) )
          | ( e3 != op(e3,e4)
            & e3 = op(e4,e4)
            & e4 = op(e3,e3) )
          | ( e3 != op(e3,e3)
            & e3 = op(e3,e3)
            & e3 = op(e3,e3) )
          | ( e3 != op(e3,e2)
            & e3 = op(e2,e2)
            & e2 = op(e3,e3) )
          | ( e3 != op(e3,e1)
            & e3 = op(e1,e1)
            & e1 = op(e3,e3) )
          | ( e3 != op(e3,e0)
            & op(e0,e0) = e3
            & e0 = op(e3,e3) )
          | ( e2 != op(e2,e4)
            & e2 = op(e4,e4)
            & e4 = op(e2,e2) )
          | ( e2 != op(e2,e3)
            & e2 = op(e3,e3)
            & e3 = op(e2,e2) )
          | ( e2 != op(e2,e2)
            & e2 = op(e2,e2)
            & e2 = op(e2,e2) )
          | ( e2 != op(e2,e1)
            & e2 = op(e1,e1)
            & e1 = op(e2,e2) )
          | ( e2 != op(e2,e0)
            & op(e0,e0) = e2
            & e0 = op(e2,e2) )
          | ( e1 != op(e1,e4)
            & e1 = op(e4,e4)
            & e4 = op(e1,e1) )
          | ( e1 != op(e1,e3)
            & e1 = op(e3,e3)
            & e3 = op(e1,e1) )
          | ( e1 != op(e1,e2)
            & e1 = op(e2,e2)
            & e2 = op(e1,e1) )
          | ( e1 != op(e1,e1)
            & e1 = op(e1,e1)
            & e1 = op(e1,e1) )
          | ( e1 != op(e1,e0)
            & op(e0,e0) = e1
            & e0 = op(e1,e1) )
          | ( e0 != op(e0,e4)
            & e0 = op(e4,e4)
            & op(e0,e0) = e4 )
          | ( e0 != op(e0,e3)
            & e0 = op(e3,e3)
            & op(e0,e0) = e3 )
          | ( e0 != op(e0,e2)
            & e0 = op(e2,e2)
            & op(e0,e0) = e2 )
          | ( e0 != op(e0,e1)
            & e0 = op(e1,e1)
            & op(e0,e0) = e1 )
          | ( e0 != op(e0,e0)
            & e0 = op(e0,e0)
            & e0 = op(e0,e0) ) )
        & ( e4 = op(e4,e4)
          | e4 != op(e4,e4) )
        & ( e4 = op(e4,e3)
          | e3 != op(e4,e4) )
        & ( e4 = op(e4,e2)
          | e2 != op(e4,e4) )
        & ( e4 = op(e4,e1)
          | e1 != op(e4,e4) )
        & ( e4 = op(e4,e0)
          | e0 != op(e4,e4) )
        & ( e3 = op(e3,e4)
          | e4 != op(e3,e3) )
        & ( e3 = op(e3,e3)
          | e3 != op(e3,e3) )
        & ( e3 = op(e3,e2)
          | e2 != op(e3,e3) )
        & ( e3 = op(e3,e1)
          | e1 != op(e3,e3) )
        & ( e3 = op(e3,e0)
          | e0 != op(e3,e3) )
        & ( e2 = op(e2,e4)
          | e4 != op(e2,e2) )
        & ( e2 = op(e2,e3)
          | e3 != op(e2,e2) )
        & ( e2 = op(e2,e2)
          | e2 != op(e2,e2) )
        & ( e2 = op(e2,e1)
          | e1 != op(e2,e2) )
        & ( e2 = op(e2,e0)
          | e0 != op(e2,e2) )
        & ( e1 = op(e1,e4)
          | e4 != op(e1,e1) )
        & ( e1 = op(e1,e3)
          | e3 != op(e1,e1) )
        & ( e1 = op(e1,e2)
          | e2 != op(e1,e1) )
        & ( e1 = op(e1,e1)
          | e1 != op(e1,e1) )
        & ( e1 = op(e1,e0)
          | e0 != op(e1,e1) )
        & ( e0 = op(e0,e4)
          | op(e0,e0) != e4 )
        & ( e0 = op(e0,e3)
          | op(e0,e0) != e3 )
        & ( e0 = op(e0,e2)
          | op(e0,e0) != e2 )
        & ( e0 = op(e0,e1)
          | op(e0,e0) != e1 )
        & ( e0 = op(e0,e0)
          | e0 != op(e0,e0) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ~ ( ( ( e4 != op(e4,e4)
          & e4 = op(e4,e4)
          & e4 = op(e4,e4) )
        | ( e4 != op(e4,e3)
          & e4 = op(e3,e3)
          & e3 = op(e4,e4) )
        | ( e4 != op(e4,e2)
          & e4 = op(e2,e2)
          & e2 = op(e4,e4) )
        | ( e4 != op(e4,e1)
          & e4 = op(e1,e1)
          & e1 = op(e4,e4) )
        | ( e4 != op(e4,e0)
          & op(e0,e0) = e4
          & e0 = op(e4,e4) )
        | ( e3 != op(e3,e4)
          & e3 = op(e4,e4)
          & e4 = op(e3,e3) )
        | ( e3 != op(e3,e3)
          & e3 = op(e3,e3)
          & e3 = op(e3,e3) )
        | ( e3 != op(e3,e2)
          & e3 = op(e2,e2)
          & e2 = op(e3,e3) )
        | ( e3 != op(e3,e1)
          & e3 = op(e1,e1)
          & e1 = op(e3,e3) )
        | ( e3 != op(e3,e0)
          & op(e0,e0) = e3
          & e0 = op(e3,e3) )
        | ( e2 != op(e2,e4)
          & e2 = op(e4,e4)
          & e4 = op(e2,e2) )
        | ( e2 != op(e2,e3)
          & e2 = op(e3,e3)
          & e3 = op(e2,e2) )
        | ( e2 != op(e2,e2)
          & e2 = op(e2,e2)
          & e2 = op(e2,e2) )
        | ( e2 != op(e2,e1)
          & e2 = op(e1,e1)
          & e1 = op(e2,e2) )
        | ( e2 != op(e2,e0)
          & op(e0,e0) = e2
          & e0 = op(e2,e2) )
        | ( e1 != op(e1,e4)
          & e1 = op(e4,e4)
          & e4 = op(e1,e1) )
        | ( e1 != op(e1,e3)
          & e1 = op(e3,e3)
          & e3 = op(e1,e1) )
        | ( e1 != op(e1,e2)
          & e1 = op(e2,e2)
          & e2 = op(e1,e1) )
        | ( e1 != op(e1,e1)
          & e1 = op(e1,e1)
          & e1 = op(e1,e1) )
        | ( e1 != op(e1,e0)
          & op(e0,e0) = e1
          & e0 = op(e1,e1) )
        | ( e0 != op(e0,e4)
          & e0 = op(e4,e4)
          & op(e0,e0) = e4 )
        | ( e0 != op(e0,e3)
          & e0 = op(e3,e3)
          & op(e0,e0) = e3 )
        | ( e0 != op(e0,e2)
          & e0 = op(e2,e2)
          & op(e0,e0) = e2 )
        | ( e0 != op(e0,e1)
          & e0 = op(e1,e1)
          & op(e0,e0) = e1 )
        | ( e0 != op(e0,e0)
          & e0 = op(e0,e0)
          & e0 = op(e0,e0) ) )
      & ( e4 = op(e4,e4)
        | e4 != op(e4,e4) )
      & ( e4 = op(e4,e3)
        | e3 != op(e4,e4) )
      & ( e4 = op(e4,e2)
        | e2 != op(e4,e4) )
      & ( e4 = op(e4,e1)
        | e1 != op(e4,e4) )
      & ( e4 = op(e4,e0)
        | e0 != op(e4,e4) )
      & ( e3 = op(e3,e4)
        | e4 != op(e3,e3) )
      & ( e3 = op(e3,e3)
        | e3 != op(e3,e3) )
      & ( e3 = op(e3,e2)
        | e2 != op(e3,e3) )
      & ( e3 = op(e3,e1)
        | e1 != op(e3,e3) )
      & ( e3 = op(e3,e0)
        | e0 != op(e3,e3) )
      & ( e2 = op(e2,e4)
        | e4 != op(e2,e2) )
      & ( e2 = op(e2,e3)
        | e3 != op(e2,e2) )
      & ( e2 = op(e2,e2)
        | e2 != op(e2,e2) )
      & ( e2 = op(e2,e1)
        | e1 != op(e2,e2) )
      & ( e2 = op(e2,e0)
        | e0 != op(e2,e2) )
      & ( e1 = op(e1,e4)
        | e4 != op(e1,e1) )
      & ( e1 = op(e1,e3)
        | e3 != op(e1,e1) )
      & ( e1 = op(e1,e2)
        | e2 != op(e1,e1) )
      & ( e1 = op(e1,e1)
        | e1 != op(e1,e1) )
      & ( e1 = op(e1,e0)
        | e0 != op(e1,e1) )
      & ( e0 = op(e0,e4)
        | op(e0,e0) != e4 )
      & ( e0 = op(e0,e3)
        | op(e0,e0) != e3 )
      & ( e0 = op(e0,e2)
        | op(e0,e0) != e2 )
      & ( e0 = op(e0,e1)
        | op(e0,e0) != e1 )
      & ( e0 = op(e0,e0)
        | e0 != op(e0,e0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f133,plain,
    ( e0 = op(e0,e2)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f134,plain,
    ( e0 = op(e0,e3)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f135,plain,
    ( e0 = op(e0,e4)
    | op(e0,e0) != e4 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f136,plain,
    ( e1 = op(e1,e0)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f138,plain,
    ( e1 = op(e1,e2)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f139,plain,
    ( e1 = op(e1,e3)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f140,plain,
    ( e1 = op(e1,e4)
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f141,plain,
    ( e2 = op(e2,e0)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f142,plain,
    ( e2 = op(e2,e1)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f144,plain,
    ( e2 = op(e2,e3)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f145,plain,
    ( e2 = op(e2,e4)
    | e4 != op(e2,e2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f146,plain,
    ( e3 = op(e3,e0)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f147,plain,
    ( e3 = op(e3,e1)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f148,plain,
    ( e3 = op(e3,e2)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f150,plain,
    ( e3 = op(e3,e4)
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f151,plain,
    ( e4 = op(e4,e0)
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f152,plain,
    ( e4 = op(e4,e1)
    | e1 != op(e4,e4) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f153,plain,
    ( e4 = op(e4,e2)
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f154,plain,
    ( e4 = op(e4,e3)
    | e3 != op(e4,e4) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f368,plain,
    ( sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1 ),
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f364,f128,f365,f158,f366,f157,f367,f156]) ).

fof(f156,plain,
    ( e4 = op(e4,e4)
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f367,plain,
    ( sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1 ),
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f364,f128,f365,f158,f366,f157]) ).

fof(f157,plain,
    ( e4 = op(e4,e4)
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f366,plain,
    ( e4 != op(e4,e4)
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1 ),
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f364,f128,f365,f158]) ).

fof(f158,plain,
    ( e4 != op(e4,e4)
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f365,plain,
    ~ sP0,
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110,f363,f115,f114,f113,f118,f117,f116,f121,f120,f119,f124,f123,f122,f127,f126,f125,f130,f129,f364,f128]) ).

fof(f128,plain,
    ( e0 = op(e0,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( e0 != op(e0,e0)
      & e0 = op(e0,e0)
      & e0 = op(e0,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f129,plain,
    ( e0 = op(e0,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f130,plain,
    ( e0 != op(e0,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f125,plain,
    ( op(e0,e0) = e1
    | ~ sP1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ( e0 != op(e0,e1)
      & e0 = op(e1,e1)
      & op(e0,e0) = e1 )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f11]) ).

fof(f126,plain,
    ( e0 = op(e1,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f127,plain,
    ( e0 != op(e0,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f123,plain,
    ( e0 = op(e2,e2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f124,plain,
    ( e0 != op(e0,e2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f120,plain,
    ( e0 = op(e3,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f121,plain,
    ( e0 != op(e0,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f117,plain,
    ( e0 = op(e4,e4)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f118,plain,
    ( e0 != op(e0,e4)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f114,plain,
    ( op(e0,e0) = e1
    | ~ sP5 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f115,plain,
    ( e1 != op(e1,e0)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f363,plain,
    ~ sP6,
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92,f361,f97,f96,f95,f100,f99,f98,f103,f102,f101,f106,f105,f104,f109,f108,f107,f112,f111,f362,f110]) ).

fof(f110,plain,
    ( e1 = op(e1,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( e1 != op(e1,e1)
      & e1 = op(e1,e1)
      & e1 = op(e1,e1) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f111,plain,
    ( e1 = op(e1,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f112,plain,
    ( e1 != op(e1,e1)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f108,plain,
    ( e1 = op(e2,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f109,plain,
    ( e1 != op(e1,e2)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f105,plain,
    ( e1 = op(e3,e3)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f106,plain,
    ( e1 != op(e1,e3)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f102,plain,
    ( e1 = op(e4,e4)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f103,plain,
    ( e1 != op(e1,e4)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f99,plain,
    ( op(e0,e0) = e2
    | ~ sP10 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f100,plain,
    ( e2 != op(e2,e0)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f96,plain,
    ( e2 = op(e1,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f97,plain,
    ( e2 != op(e2,e1)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f361,plain,
    ~ sP12,
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74,f359,f79,f78,f77,f82,f81,f80,f85,f84,f83,f88,f87,f86,f91,f90,f89,f94,f93,f360,f92]) ).

fof(f92,plain,
    ( e2 = op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( ( e2 != op(e2,e2)
      & e2 = op(e2,e2)
      & e2 = op(e2,e2) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f22]) ).

fof(f93,plain,
    ( e2 = op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f94,plain,
    ( e2 != op(e2,e2)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f90,plain,
    ( e2 = op(e3,e3)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f91,plain,
    ( e2 != op(e2,e3)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f87,plain,
    ( e2 = op(e4,e4)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f88,plain,
    ( e2 != op(e2,e4)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f84,plain,
    ( op(e0,e0) = e3
    | ~ sP15 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f85,plain,
    ( e3 != op(e3,e0)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f81,plain,
    ( e3 = op(e1,e1)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f82,plain,
    ( e3 != op(e3,e1)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f78,plain,
    ( e3 = op(e2,e2)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f79,plain,
    ( e3 != op(e3,e2)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f359,plain,
    ~ sP18,
    inference(global_subsumption,[],[f61,f60,f59,f64,f63,f62,f67,f66,f65,f70,f69,f68,f73,f72,f71,f76,f75,f358,f74]) ).

fof(f74,plain,
    ( e3 = op(e3,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( ( e3 != op(e3,e3)
      & e3 = op(e3,e3)
      & e3 = op(e3,e3) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f75,plain,
    ( e3 = op(e3,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f76,plain,
    ( e3 != op(e3,e3)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f72,plain,
    ( e3 = op(e4,e4)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f73,plain,
    ( e3 != op(e3,e4)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f69,plain,
    ( op(e0,e0) = e4
    | ~ sP20 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f70,plain,
    ( e4 != op(e4,e0)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f66,plain,
    ( e4 = op(e1,e1)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f67,plain,
    ( e4 != op(e4,e1)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f63,plain,
    ( e4 = op(e2,e2)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f64,plain,
    ( e4 != op(e4,e2)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f60,plain,
    ( e4 = op(e3,e3)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f61,plain,
    ( e4 != op(e4,e3)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ALG067+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 19:55:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (27849)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39  % (27852)WARNING: value z3 for option sas not known
% 0.14/0.39  % (27853)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39  % (27851)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39  % (27850)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39  % (27854)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)
% 0.14/0.39  % (27855)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)
% 0.14/0.39  % (27852)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)
% 0.14/0.39  % (27856)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)
% 0.14/0.40  % (27852)First to succeed.
% 0.21/0.41  % (27852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27849"
% 0.21/0.41  % (27856)Also succeeded, but the first one will report.
% 0.21/0.41  % (27852)Refutation found. Thanks to Tanya!
% 0.21/0.41  % SZS status Theorem for theBenchmark
% 0.21/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42  % (27852)------------------------------
% 0.21/0.42  % (27852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42  % (27852)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (27852)Memory used [KB]: 1133
% 0.21/0.42  % (27852)Time elapsed: 0.024 s
% 0.21/0.42  % (27852)Instructions burned: 47 (million)
% 0.21/0.42  % (27849)Success in time 0.051 s
%------------------------------------------------------------------------------