%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG137+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:43:01 EDT 2022

% Result   : Unsatisfiable 2.93s 0.75s
% Output   : Refutation 2.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  122
% Syntax   : Number of formulae    : 1052 (  54 unt;   0 def)
%            Number of atoms       : 3008 (1128 equ)
%            Maximal formula atoms :  128 (   2 avg)
%            Number of connectives : 3629 (1673   ~;1698   |; 157   &)
%                                         ( 101 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  106 ( 104 usr; 105 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3688,plain,
    $false,
    inference(avatar_sat_refutation,[],[f219,f236,f253,f270,f287,f323,f332,f341,f354,f367,f372,f385,f399,f412,f421,f430,f439,f457,f470,f479,f488,f497,f506,f511,f521,f530,f535,f545,f550,f559,f573,f583,f588,f593,f598,f603,f617,f618,f623,f629,f630,f635,f640,f641,f646,f649,f654,f659,f660,f666,f667,f669,f670,f676,f677,f682,f683,f684,f689,f690,f691,f692,f697,f702,f707,f708,f713,f714,f715,f718,f727,f728,f729,f730,f731,f743,f747,f757,f766,f770,f778,f779,f793,f801,f815,f824,f830,f839,f846,f853,f854,f859,f869,f874,f879,f904,f908,f913,f915,f922,f924,f932,f938,f944,f950,f958,f962,f975,f984,f1035,f1048,f1050,f1059,f1067,f1083,f1093,f1099,f1109,f1123,f1128,f1135,f1170,f1210,f1218,f1223,f1225,f1229,f1264,f1287,f1297,f1312,f1329,f1345,f1362,f1380,f1384,f1388,f1392,f1399,f1420,f1448,f1467,f1471,f1490,f1504,f1510,f1524,f1535,f1565,f1570,f1572,f1575,f1578,f1585,f1591,f1608,f1641,f1649,f1670,f1702,f1708,f1715,f1721,f1731,f1736,f1742,f1746,f1777,f1786,f1798,f1802,f1804,f1809,f1840,f1847,f1857,f1871,f1875,f1886,f1917,f1922,f1936,f1983,f1986,f2003,f2036,f2043,f2055,f2071,f2074,f2100,f2108,f2129,f2148,f2153,f2168,f2173,f2206,f2227,f2231,f2260,f2278,f2287,f2290,f2298,f2299,f2305,f2310,f2324,f2332,f2346,f2352,f2355,f2358,f2421,f2422,f2431,f2439,f2445,f2451,f2457,f2477,f2491,f2503,f2510,f2570,f2591,f2613,f2619,f2623,f2634,f2644,f2645,f2648,f2664,f2682,f2684,f2707,f2725,f2741,f2745,f2758,f2761,f2782,f2787,f2824,f2831,f2835,f2839,f2857,f2864,f2882,f2884,f2899,f2902,f2906,f2913,f2920,f2927,f2973,f2975,f2982,f3000,f3003,f3037,f3059,f3072,f3094,f3102,f3108,f3110,f3119,f3124,f3143,f3187,f3189,f3191,f3193,f3211,f3227,f3242,f3258,f3271,f3300,f3332,f3334,f3346,f3360,f3361,f3389,f3422,f3446,f3452,f3461,f3463,f3471,f3499,f3526,f3607,f3611,f3615,f3623,f3643,f3652,f3669,f3673,f3685]) ).

fof(f3685,plain,
    ( spl3_2
    | ~ spl3_46
    | ~ spl3_99 ),
    inference(avatar_contradiction_clause,[],[f3684]) ).

fof(f3684,plain,
    ( $false
    | spl3_2
    | ~ spl3_46
    | ~ spl3_99 ),
    inference(subsumption_resolution,[],[f3681,f209]) ).

fof(f209,plain,
    ( op(e0,e0) != e2
    | spl3_2 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f208,plain,
    ( spl3_2
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f3681,plain,
    ( op(e0,e0) = e2
    | ~ spl3_46
    | ~ spl3_99 ),
    inference(backward_demodulation,[],[f658,f403]) ).

fof(f403,plain,
    ( e0 = op(e2,e0)
    | ~ spl3_46 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f401,plain,
    ( spl3_46
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).

fof(f658,plain,
    ( e2 = op(op(e2,e0),op(e2,e0))
    | ~ spl3_99 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f656,plain,
    ( spl3_99
  <=> e2 = op(op(e2,e0),op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).

fof(f3673,plain,
    ( ~ spl3_4
    | ~ spl3_14
    | spl3_32
    | ~ spl3_85 ),
    inference(avatar_contradiction_clause,[],[f3672]) ).

fof(f3672,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_14
    | spl3_32
    | ~ spl3_85 ),
    inference(subsumption_resolution,[],[f3671,f261]) ).

fof(f261,plain,
    ( e1 = op(e0,e1)
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl3_14
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f3671,plain,
    ( e1 != op(e0,e1)
    | ~ spl3_4
    | spl3_32
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f3664,f582]) ).

fof(f582,plain,
    ( e1 = op(e3,e0)
    | ~ spl3_85 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f580,plain,
    ( spl3_85
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).

fof(f3664,plain,
    ( e1 != op(e0,op(e3,e0))
    | ~ spl3_4
    | spl3_32 ),
    inference(backward_demodulation,[],[f340,f218]) ).

fof(f218,plain,
    ( op(e0,e0) = e3
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl3_4
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f340,plain,
    ( e1 != op(e0,op(op(e0,e0),e0))
    | spl3_32 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f338,plain,
    ( spl3_32
  <=> e1 = op(e0,op(op(e0,e0),e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).

fof(f3669,plain,
    ( ~ spl3_4
    | spl3_73
    | ~ spl3_85 ),
    inference(avatar_contradiction_clause,[],[f3668]) ).

fof(f3668,plain,
    ( $false
    | ~ spl3_4
    | spl3_73
    | ~ spl3_85 ),
    inference(subsumption_resolution,[],[f3667,f582]) ).

fof(f3667,plain,
    ( e1 != op(e3,e0)
    | ~ spl3_4
    | spl3_73 ),
    inference(backward_demodulation,[],[f525,f218]) ).

fof(f525,plain,
    ( e1 != op(op(e0,e0),e0)
    | spl3_73 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f523,plain,
    ( spl3_73
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).

fof(f3652,plain,
    ( spl3_4
    | ~ spl3_18
    | ~ spl3_100 ),
    inference(avatar_split_clause,[],[f3651,f663,f276,f216]) ).

fof(f276,plain,
    ( spl3_18
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f663,plain,
    ( spl3_100
  <=> e3 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_100])]) ).

fof(f3651,plain,
    ( op(e0,e0) = e3
    | ~ spl3_18
    | ~ spl3_100 ),
    inference(backward_demodulation,[],[f665,f278]) ).

fof(f278,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f665,plain,
    ( e3 = op(op(e3,e3),op(e3,e3))
    | ~ spl3_100 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f3643,plain,
    ( spl3_7
    | ~ spl3_56
    | ~ spl3_105 ),
    inference(avatar_contradiction_clause,[],[f3642]) ).

fof(f3642,plain,
    ( $false
    | spl3_7
    | ~ spl3_56
    | ~ spl3_105 ),
    inference(subsumption_resolution,[],[f3640,f230]) ).

fof(f230,plain,
    ( e2 != op(e3,e3)
    | spl3_7 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl3_7
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f3640,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_56
    | ~ spl3_105 ),
    inference(backward_demodulation,[],[f701,f447]) ).

fof(f447,plain,
    ( e3 = op(e2,e3)
    | ~ spl3_56 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl3_56
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).

fof(f701,plain,
    ( e2 = op(op(e2,e3),op(e2,e3))
    | ~ spl3_105 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f699,plain,
    ( spl3_105
  <=> e2 = op(op(e2,e3),op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).

fof(f3623,plain,
    ( ~ spl3_27
    | ~ spl3_71
    | ~ spl3_85 ),
    inference(avatar_contradiction_clause,[],[f3622]) ).

fof(f3622,plain,
    ( $false
    | ~ spl3_27
    | ~ spl3_71
    | ~ spl3_85 ),
    inference(subsumption_resolution,[],[f3621,f64]) ).

fof(f64,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f3621,plain,
    ( e0 = e3
    | ~ spl3_27
    | ~ spl3_71
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f3620,f515]) ).

fof(f515,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_71 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f513,plain,
    ( spl3_71
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).

fof(f3620,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_27
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f318,f582]) ).

fof(f318,plain,
    ( e3 = op(op(e3,e0),op(e3,e0))
    | ~ spl3_27 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f316,plain,
    ( spl3_27
  <=> e3 = op(op(e3,e0),op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).

fof(f3615,plain,
    ( ~ spl3_67
    | ~ spl3_66 ),
    inference(avatar_split_clause,[],[f3614,f490,f494]) ).

fof(f494,plain,
    ( spl3_67
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).

fof(f490,plain,
    ( spl3_66
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).

fof(f3614,plain,
    ( e1 != op(e1,e0)
    | ~ spl3_66 ),
    inference(forward_demodulation,[],[f109,f492]) ).

fof(f492,plain,
    ( e1 = op(e1,e3)
    | ~ spl3_66 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f109,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f3611,plain,
    ( ~ spl3_83
    | ~ spl3_66 ),
    inference(avatar_split_clause,[],[f3610,f490,f570]) ).

fof(f570,plain,
    ( spl3_83
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).

fof(f3610,plain,
    ( e1 != op(e0,e3)
    | ~ spl3_66 ),
    inference(forward_demodulation,[],[f108,f492]) ).

fof(f108,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3607,plain,
    ( ~ spl3_67
    | ~ spl3_85 ),
    inference(avatar_split_clause,[],[f3606,f580,f494]) ).

fof(f3606,plain,
    ( e1 != op(e1,e0)
    | ~ spl3_85 ),
    inference(forward_demodulation,[],[f114,f582]) ).

fof(f114,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3526,plain,
    ( ~ spl3_5
    | ~ spl3_15
    | spl3_44
    | ~ spl3_71 ),
    inference(avatar_contradiction_clause,[],[f3525]) ).

fof(f3525,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_15
    | spl3_44
    | ~ spl3_71 ),
    inference(subsumption_resolution,[],[f3524,f223]) ).

fof(f223,plain,
    ( e2 = op(e1,e3)
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl3_5
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f3524,plain,
    ( e2 != op(e1,e3)
    | ~ spl3_15
    | spl3_44
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f3523,f265]) ).

fof(f265,plain,
    ( e3 = op(e0,e1)
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f263,plain,
    ( spl3_15
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f3523,plain,
    ( e2 != op(e1,op(e0,e1))
    | spl3_44
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f393,f515]) ).

fof(f393,plain,
    ( e2 != op(e1,op(op(e1,e1),e1))
    | spl3_44 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f391,plain,
    ( spl3_44
  <=> e2 = op(e1,op(op(e1,e1),e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).

fof(f3499,plain,
    ( ~ spl3_4
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f3498,f263,f216]) ).

fof(f3498,plain,
    ( op(e0,e0) != e3
    | ~ spl3_15 ),
    inference(forward_demodulation,[],[f97,f265]) ).

fof(f97,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3471,plain,
    ( spl3_2
    | ~ spl3_65
    | ~ spl3_105 ),
    inference(avatar_split_clause,[],[f3467,f699,f485,f208]) ).

fof(f485,plain,
    ( spl3_65
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).

fof(f3467,plain,
    ( op(e0,e0) = e2
    | ~ spl3_65
    | ~ spl3_105 ),
    inference(backward_demodulation,[],[f701,f487]) ).

fof(f487,plain,
    ( e0 = op(e2,e3)
    | ~ spl3_65 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f3463,plain,
    ( spl3_12
    | ~ spl3_5
    | ~ spl3_53 ),
    inference(avatar_split_clause,[],[f3462,f432,f221,f250]) ).

fof(f250,plain,
    ( spl3_12
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f432,plain,
    ( spl3_53
  <=> e1 = op(op(e1,e3),op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_53])]) ).

fof(f3462,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_5
    | ~ spl3_53 ),
    inference(forward_demodulation,[],[f434,f223]) ).

fof(f434,plain,
    ( e1 = op(op(e1,e3),op(e1,e3))
    | ~ spl3_53 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f3461,plain,
    ( ~ spl3_55
    | ~ spl3_47 ),
    inference(avatar_split_clause,[],[f3460,f405,f441]) ).

fof(f441,plain,
    ( spl3_55
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).

fof(f405,plain,
    ( spl3_47
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).

fof(f3460,plain,
    ( e3 != op(e2,e2)
    | ~ spl3_47 ),
    inference(forward_demodulation,[],[f102,f407]) ).

fof(f407,plain,
    ( e3 = op(e2,e0)
    | ~ spl3_47 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f102,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3452,plain,
    ( ~ spl3_1
    | ~ spl3_67 ),
    inference(avatar_split_clause,[],[f3451,f494,f204]) ).

fof(f204,plain,
    ( spl3_1
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f3451,plain,
    ( op(e0,e0) != e1
    | ~ spl3_67 ),
    inference(forward_demodulation,[],[f118,f496]) ).

fof(f496,plain,
    ( e1 = op(e1,e0)
    | ~ spl3_67 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f118,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3446,plain,
    ( ~ spl3_7
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f3445,f221,f229]) ).

fof(f3445,plain,
    ( e2 != op(e3,e3)
    | ~ spl3_5 ),
    inference(forward_demodulation,[],[f92,f223]) ).

fof(f92,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3422,plain,
    ( ~ spl3_65
    | ~ spl3_91 ),
    inference(avatar_split_clause,[],[f3421,f610,f485]) ).

fof(f610,plain,
    ( spl3_91
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_91])]) ).

fof(f3421,plain,
    ( e0 != op(e2,e3)
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f99,f612]) ).

fof(f612,plain,
    ( e0 = op(e1,e3)
    | ~ spl3_91 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f99,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3389,plain,
    ( ~ spl3_84
    | ~ spl3_25
    | spl3_75 ),
    inference(avatar_split_clause,[],[f3194,f532,f307,f576]) ).

fof(f576,plain,
    ( spl3_84
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).

fof(f307,plain,
    ( spl3_25
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f532,plain,
    ( spl3_75
  <=> e2 = op(e3,op(op(e3,e3),e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_75])]) ).

fof(f3194,plain,
    ( e2 != op(e3,e0)
    | ~ spl3_25
    | spl3_75 ),
    inference(backward_demodulation,[],[f534,f308]) ).

fof(f308,plain,
    ( e0 = op(op(e3,e3),e3)
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f534,plain,
    ( e2 != op(e3,op(op(e3,e3),e3))
    | spl3_75 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f3361,plain,
    ( ~ spl3_17
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f3356,f280,f272]) ).

fof(f272,plain,
    ( spl3_17
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f280,plain,
    ( spl3_19
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f3356,plain,
    ( e0 != op(e3,e1)
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f122,f282]) ).

fof(f282,plain,
    ( e0 = op(e3,e2)
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f122,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3360,plain,
    ( ~ spl3_33
    | ~ spl3_19 ),
    inference(avatar_split_clause,[],[f3357,f280,f343]) ).

fof(f343,plain,
    ( spl3_33
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).

fof(f3357,plain,
    ( e0 != op(e1,e2)
    | ~ spl3_19 ),
    inference(backward_demodulation,[],[f88,f282]) ).

fof(f88,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3346,plain,
    ( ~ spl3_78
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f3345,f382,f547]) ).

fof(f547,plain,
    ( spl3_78
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).

fof(f382,plain,
    ( spl3_42
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).

fof(f3345,plain,
    ( e3 != op(e3,e0)
    | ~ spl3_42 ),
    inference(backward_demodulation,[],[f114,f384]) ).

fof(f384,plain,
    ( e3 = op(e1,e0)
    | ~ spl3_42 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f3334,plain,
    ( ~ spl3_56
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f3333,f441,f445]) ).

fof(f3333,plain,
    ( e3 != op(e2,e3)
    | ~ spl3_55 ),
    inference(forward_demodulation,[],[f78,f443]) ).

fof(f443,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_55 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f78,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3332,plain,
    ( spl3_69
    | ~ spl3_11
    | ~ spl3_99 ),
    inference(avatar_split_clause,[],[f3331,f656,f246,f503]) ).

fof(f503,plain,
    ( spl3_69
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).

fof(f246,plain,
    ( spl3_11
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f3331,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_11
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f658,f248]) ).

fof(f248,plain,
    ( e1 = op(e2,e0)
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f3300,plain,
    ( spl3_12
    | ~ spl3_39
    | ~ spl3_68 ),
    inference(avatar_split_clause,[],[f3299,f499,f369,f250]) ).

fof(f369,plain,
    ( spl3_39
  <=> e1 = op(op(e1,e0),op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).

fof(f499,plain,
    ( spl3_68
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).

fof(f3299,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_39
    | ~ spl3_68 ),
    inference(forward_demodulation,[],[f371,f501]) ).

fof(f501,plain,
    ( e2 = op(e1,e0)
    | ~ spl3_68 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f371,plain,
    ( e1 = op(op(e1,e0),op(e1,e0))
    | ~ spl3_39 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f3271,plain,
    ( ~ spl3_55
    | ~ spl3_61 ),
    inference(avatar_split_clause,[],[f3269,f467,f441]) ).

fof(f467,plain,
    ( spl3_61
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).

fof(f3269,plain,
    ( e3 != op(e2,e2)
    | ~ spl3_61 ),
    inference(backward_demodulation,[],[f84,f469]) ).

fof(f469,plain,
    ( e3 = op(e3,e2)
    | ~ spl3_61 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f84,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3258,plain,
    ( ~ spl3_3
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f3257]) ).

fof(f3257,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f3256,f67]) ).

fof(f67,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f3256,plain,
    ( e0 = e2
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f3255,f214]) ).

fof(f214,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f212,plain,
    ( spl3_3
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f3255,plain,
    ( op(e0,e0) = e2
    | ~ spl3_3
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f335,f214]) ).

fof(f335,plain,
    ( e2 = op(op(e0,e0),e0)
    | ~ spl3_31 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f334,plain,
    ( spl3_31
  <=> e2 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).

fof(f3242,plain,
    ( ~ spl3_49
    | ~ spl3_66 ),
    inference(avatar_split_clause,[],[f3241,f490,f414]) ).

fof(f414,plain,
    ( spl3_49
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).

fof(f3241,plain,
    ( e1 != op(e1,e2)
    | ~ spl3_66 ),
    inference(forward_demodulation,[],[f100,f492]) ).

fof(f100,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3227,plain,
    ( spl3_55
    | ~ spl3_7
    | ~ spl3_100 ),
    inference(avatar_split_clause,[],[f3226,f663,f229,f441]) ).

fof(f3226,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_7
    | ~ spl3_100 ),
    inference(forward_demodulation,[],[f665,f231]) ).

fof(f231,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f3211,plain,
    ( ~ spl3_47
    | spl3_79
    | ~ spl3_80 ),
    inference(avatar_contradiction_clause,[],[f3210]) ).

fof(f3210,plain,
    ( $false
    | ~ spl3_47
    | spl3_79
    | ~ spl3_80 ),
    inference(subsumption_resolution,[],[f3208,f407]) ).

fof(f3208,plain,
    ( e3 != op(e2,e0)
    | spl3_79
    | ~ spl3_80 ),
    inference(backward_demodulation,[],[f554,f557]) ).

fof(f557,plain,
    ( e0 = op(op(e2,e2),e2)
    | ~ spl3_80 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f556,plain,
    ( spl3_80
  <=> e0 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).

fof(f554,plain,
    ( e3 != op(e2,op(op(e2,e2),e2))
    | spl3_79 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f552,plain,
    ( spl3_79
  <=> e3 = op(e2,op(op(e2,e2),e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).

fof(f3193,plain,
    ( ~ spl3_78
    | ~ spl3_47 ),
    inference(avatar_split_clause,[],[f3192,f405,f547]) ).

fof(f3192,plain,
    ( e3 != op(e3,e0)
    | ~ spl3_47 ),
    inference(forward_demodulation,[],[f103,f407]) ).

fof(f103,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3191,plain,
    ( spl3_7
    | ~ spl3_47
    | ~ spl3_99 ),
    inference(avatar_split_clause,[],[f3190,f656,f405,f229]) ).

fof(f3190,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_47
    | ~ spl3_99 ),
    inference(forward_demodulation,[],[f658,f407]) ).

fof(f3189,plain,
    ( ~ spl3_4
    | ~ spl3_47 ),
    inference(avatar_split_clause,[],[f3127,f405,f216]) ).

fof(f3127,plain,
    ( op(e0,e0) != e3
    | ~ spl3_47 ),
    inference(forward_demodulation,[],[f125,f407]) ).

fof(f125,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3187,plain,
    ( ~ spl3_9
    | spl3_69
    | ~ spl3_105 ),
    inference(avatar_contradiction_clause,[],[f3186]) ).

fof(f3186,plain,
    ( $false
    | ~ spl3_9
    | spl3_69
    | ~ spl3_105 ),
    inference(subsumption_resolution,[],[f3185,f504]) ).

fof(f504,plain,
    ( e2 != op(e1,e1)
    | spl3_69 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f3185,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_9
    | ~ spl3_105 ),
    inference(forward_demodulation,[],[f701,f240]) ).

fof(f240,plain,
    ( e1 = op(e2,e3)
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl3_9
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f3143,plain,
    ( ~ spl3_92
    | ~ spl3_91 ),
    inference(avatar_split_clause,[],[f3142,f610,f614]) ).

fof(f614,plain,
    ( spl3_92
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_92])]) ).

fof(f3142,plain,
    ( e0 != op(e0,e3)
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f108,f612]) ).

fof(f3124,plain,
    ( ~ spl3_57
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f3123,f537,f450]) ).

fof(f450,plain,
    ( spl3_57
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).

fof(f537,plain,
    ( spl3_76
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_76])]) ).

fof(f3123,plain,
    ( e3 != op(e0,e3)
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f123,f539]) ).

fof(f539,plain,
    ( e3 = op(e0,e2)
    | ~ spl3_76 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f123,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f3119,plain,
    ( ~ spl3_63
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f3118,f414,f476]) ).

fof(f476,plain,
    ( spl3_63
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).

fof(f3118,plain,
    ( e1 != op(e1,e1)
    | ~ spl3_49 ),
    inference(forward_demodulation,[],[f89,f416]) ).

fof(f416,plain,
    ( e1 = op(e1,e2)
    | ~ spl3_49 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f89,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3110,plain,
    ( ~ spl3_95
    | ~ spl3_59 ),
    inference(avatar_split_clause,[],[f3109,f459,f632]) ).

fof(f632,plain,
    ( spl3_95
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_95])]) ).

fof(f459,plain,
    ( spl3_59
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).

fof(f3109,plain,
    ( e2 != op(e3,e1)
    | ~ spl3_59 ),
    inference(forward_demodulation,[],[f122,f461]) ).

fof(f461,plain,
    ( e2 = op(e3,e2)
    | ~ spl3_59 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f3108,plain,
    ( ~ spl3_67
    | ~ spl3_49 ),
    inference(avatar_split_clause,[],[f3107,f414,f494]) ).

fof(f3107,plain,
    ( e1 != op(e1,e0)
    | ~ spl3_49 ),
    inference(forward_demodulation,[],[f80,f416]) ).

fof(f80,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3102,plain,
    ( ~ spl3_13
    | ~ spl3_90 ),
    inference(avatar_split_clause,[],[f3101,f605,f255]) ).

fof(f255,plain,
    ( spl3_13
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f605,plain,
    ( spl3_90
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_90])]) ).

fof(f3101,plain,
    ( e2 != op(e0,e1)
    | ~ spl3_90 ),
    inference(backward_demodulation,[],[f106,f607]) ).

fof(f607,plain,
    ( e2 = op(e2,e1)
    | ~ spl3_90 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f106,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f3094,plain,
    ( ~ spl3_1
    | ~ spl3_68
    | spl3_74
    | ~ spl3_76 ),
    inference(avatar_contradiction_clause,[],[f3093]) ).

fof(f3093,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_68
    | spl3_74
    | ~ spl3_76 ),
    inference(subsumption_resolution,[],[f3090,f539]) ).

fof(f3090,plain,
    ( e3 != op(e0,e2)
    | ~ spl3_1
    | ~ spl3_68
    | spl3_74 ),
    inference(backward_demodulation,[],[f3066,f501]) ).

fof(f3066,plain,
    ( e3 != op(e0,op(e1,e0))
    | ~ spl3_1
    | spl3_74 ),
    inference(forward_demodulation,[],[f529,f206]) ).

fof(f206,plain,
    ( op(e0,e0) = e1
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f529,plain,
    ( e3 != op(e0,op(op(e0,e0),e0))
    | spl3_74 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f527,plain,
    ( spl3_74
  <=> e3 = op(e0,op(op(e0,e0),e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).

fof(f3072,plain,
    ( ~ spl3_15
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f3071,f537,f263]) ).

fof(f3071,plain,
    ( e3 != op(e0,e1)
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f90,f539]) ).

fof(f90,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3059,plain,
    ( spl3_36
    | ~ spl3_40
    | ~ spl3_53 ),
    inference(avatar_contradiction_clause,[],[f3058]) ).

fof(f3058,plain,
    ( $false
    | spl3_36
    | ~ spl3_40
    | ~ spl3_53 ),
    inference(subsumption_resolution,[],[f2914,f358]) ).

fof(f358,plain,
    ( e1 != op(e3,e3)
    | spl3_36 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f356,plain,
    ( spl3_36
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).

fof(f2914,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_40
    | ~ spl3_53 ),
    inference(forward_demodulation,[],[f434,f376]) ).

fof(f376,plain,
    ( e3 = op(e1,e3)
    | ~ spl3_40 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f374,plain,
    ( spl3_40
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).

fof(f3037,plain,
    ( ~ spl3_1
    | spl3_32
    | ~ spl3_96 ),
    inference(avatar_contradiction_clause,[],[f3036]) ).

fof(f3036,plain,
    ( $false
    | ~ spl3_1
    | spl3_32
    | ~ spl3_96 ),
    inference(subsumption_resolution,[],[f3035,f206]) ).

fof(f3035,plain,
    ( op(e0,e0) != e1
    | ~ spl3_1
    | spl3_32
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f3034,f639]) ).

fof(f639,plain,
    ( e0 = op(e1,e0)
    | ~ spl3_96 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f637,plain,
    ( spl3_96
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_96])]) ).

fof(f3034,plain,
    ( e1 != op(e0,op(e1,e0))
    | ~ spl3_1
    | spl3_32 ),
    inference(forward_demodulation,[],[f340,f206]) ).

fof(f3003,plain,
    ( spl3_4
    | ~ spl3_17
    | ~ spl3_88 ),
    inference(avatar_contradiction_clause,[],[f3002]) ).

fof(f3002,plain,
    ( $false
    | spl3_4
    | ~ spl3_17
    | ~ spl3_88 ),
    inference(subsumption_resolution,[],[f2943,f217]) ).

fof(f217,plain,
    ( op(e0,e0) != e3
    | spl3_4 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f2943,plain,
    ( op(e0,e0) = e3
    | ~ spl3_17
    | ~ spl3_88 ),
    inference(backward_demodulation,[],[f597,f274]) ).

fof(f274,plain,
    ( e0 = op(e3,e1)
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f597,plain,
    ( e3 = op(op(e3,e1),op(e3,e1))
    | ~ spl3_88 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f595,plain,
    ( spl3_88
  <=> e3 = op(op(e3,e1),op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).

fof(f3000,plain,
    ( ~ spl3_7
    | ~ spl3_35
    | ~ spl3_100 ),
    inference(avatar_contradiction_clause,[],[f2999]) ).

fof(f2999,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_35
    | ~ spl3_100 ),
    inference(subsumption_resolution,[],[f2998,f64]) ).

fof(f2998,plain,
    ( e0 = e3
    | ~ spl3_7
    | ~ spl3_35
    | ~ spl3_100 ),
    inference(forward_demodulation,[],[f2997,f353]) ).

fof(f353,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_35 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f351,plain,
    ( spl3_35
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).

fof(f2997,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_7
    | ~ spl3_100 ),
    inference(backward_demodulation,[],[f665,f231]) ).

fof(f2982,plain,
    ( ~ spl3_8
    | ~ spl3_48 ),
    inference(avatar_split_clause,[],[f2981,f409,f233]) ).

fof(f233,plain,
    ( spl3_8
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f409,plain,
    ( spl3_48
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).

fof(f2981,plain,
    ( e2 != op(e2,e3)
    | ~ spl3_48 ),
    inference(forward_demodulation,[],[f116,f411]) ).

fof(f411,plain,
    ( e2 = op(e2,e0)
    | ~ spl3_48 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f116,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2975,plain,
    ( spl3_1
    | ~ spl3_39
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f2974,f637,f369,f204]) ).

fof(f2974,plain,
    ( op(e0,e0) = e1
    | ~ spl3_39
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f371,f639]) ).

fof(f2973,plain,
    ( ~ spl3_21
    | ~ spl3_13 ),
    inference(avatar_split_clause,[],[f2972,f255,f289]) ).

fof(f289,plain,
    ( spl3_21
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f2972,plain,
    ( e2 != op(e0,e2)
    | ~ spl3_13 ),
    inference(forward_demodulation,[],[f90,f257]) ).

fof(f257,plain,
    ( e2 = op(e0,e1)
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f2927,plain,
    ( ~ spl3_9
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f2926,f246,f238]) ).

fof(f2926,plain,
    ( e1 != op(e2,e3)
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f116,f248]) ).

fof(f2920,plain,
    ( ~ spl3_1
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f2919,f246,f204]) ).

fof(f2919,plain,
    ( op(e0,e0) != e1
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f125,f248]) ).

fof(f2913,plain,
    ( ~ spl3_91
    | spl3_25
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f2912,f356,f307,f610]) ).

fof(f2912,plain,
    ( e0 != op(e1,e3)
    | spl3_25
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f309,f357]) ).

fof(f357,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_36 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f309,plain,
    ( e0 != op(op(e3,e3),e3)
    | spl3_25 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f2906,plain,
    ( ~ spl3_29
    | ~ spl3_35
    | spl3_79
    | ~ spl3_98 ),
    inference(avatar_contradiction_clause,[],[f2905]) ).

fof(f2905,plain,
    ( $false
    | ~ spl3_29
    | ~ spl3_35
    | spl3_79
    | ~ spl3_98 ),
    inference(subsumption_resolution,[],[f2904,f327]) ).

fof(f327,plain,
    ( e3 = op(e2,e1)
    | ~ spl3_29 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl3_29
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f2904,plain,
    ( e3 != op(e2,e1)
    | ~ spl3_35
    | spl3_79
    | ~ spl3_98 ),
    inference(forward_demodulation,[],[f2903,f653]) ).

fof(f653,plain,
    ( e1 = op(e0,e2)
    | ~ spl3_98 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f651,plain,
    ( spl3_98
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_98])]) ).

fof(f2903,plain,
    ( e3 != op(e2,op(e0,e2))
    | ~ spl3_35
    | spl3_79 ),
    inference(forward_demodulation,[],[f554,f353]) ).

fof(f2902,plain,
    ( ~ spl3_20
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f2901,f637,f284]) ).

fof(f284,plain,
    ( spl3_20
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f2901,plain,
    ( e0 != op(e3,e0)
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f114,f639]) ).

fof(f2899,plain,
    ( ~ spl3_84
    | ~ spl3_4
    | spl3_31 ),
    inference(avatar_split_clause,[],[f2895,f334,f216,f576]) ).

fof(f2895,plain,
    ( e2 != op(e3,e0)
    | ~ spl3_4
    | spl3_31 ),
    inference(backward_demodulation,[],[f336,f218]) ).

fof(f336,plain,
    ( e2 != op(op(e0,e0),e0)
    | spl3_31 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f2884,plain,
    ( spl3_2
    | ~ spl3_35
    | ~ spl3_102 ),
    inference(avatar_split_clause,[],[f2883,f679,f351,f208]) ).

fof(f679,plain,
    ( spl3_102
  <=> e2 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_102])]) ).

fof(f2883,plain,
    ( op(e0,e0) = e2
    | ~ spl3_35
    | ~ spl3_102 ),
    inference(forward_demodulation,[],[f681,f353]) ).

fof(f681,plain,
    ( e2 = op(op(e2,e2),op(e2,e2))
    | ~ spl3_102 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f2882,plain,
    ( ~ spl3_36
    | ~ spl3_63
    | ~ spl3_100 ),
    inference(avatar_contradiction_clause,[],[f2881]) ).

fof(f2881,plain,
    ( $false
    | ~ spl3_36
    | ~ spl3_63
    | ~ spl3_100 ),
    inference(subsumption_resolution,[],[f2880,f65]) ).

fof(f65,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f2880,plain,
    ( e1 = e3
    | ~ spl3_36
    | ~ spl3_63
    | ~ spl3_100 ),
    inference(forward_demodulation,[],[f2877,f478]) ).

fof(f478,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_63 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f2877,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_36
    | ~ spl3_100 ),
    inference(backward_demodulation,[],[f665,f357]) ).

fof(f2864,plain,
    ( ~ spl3_1
    | spl3_39
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f2863,f637,f369,f204]) ).

fof(f2863,plain,
    ( op(e0,e0) != e1
    | spl3_39
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f370,f639]) ).

fof(f370,plain,
    ( e1 != op(op(e1,e0),op(e1,e0))
    | spl3_39 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f2857,plain,
    ( ~ spl3_10
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f2856,f246,f242]) ).

fof(f242,plain,
    ( spl3_10
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f2856,plain,
    ( e1 != op(e2,e1)
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f101,f248]) ).

fof(f101,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2839,plain,
    ( ~ spl3_10
    | ~ spl3_63 ),
    inference(avatar_split_clause,[],[f2838,f476,f242]) ).

fof(f2838,plain,
    ( e1 != op(e2,e1)
    | ~ spl3_63 ),
    inference(forward_demodulation,[],[f119,f478]) ).

fof(f119,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2835,plain,
    ( ~ spl3_66
    | ~ spl3_63 ),
    inference(avatar_split_clause,[],[f2834,f476,f490]) ).

fof(f2834,plain,
    ( e1 != op(e1,e3)
    | ~ spl3_63 ),
    inference(forward_demodulation,[],[f98,f478]) ).

fof(f98,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2831,plain,
    ( ~ spl3_60
    | ~ spl3_63
    | ~ spl3_77 ),
    inference(avatar_contradiction_clause,[],[f2830]) ).

fof(f2830,plain,
    ( $false
    | ~ spl3_60
    | ~ spl3_63
    | ~ spl3_77 ),
    inference(subsumption_resolution,[],[f2829,f65]) ).

fof(f2829,plain,
    ( e1 = e3
    | ~ spl3_60
    | ~ spl3_63
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f2828,f478]) ).

fof(f2828,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_60
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f544,f465]) ).

fof(f465,plain,
    ( e1 = op(e3,e2)
    | ~ spl3_60 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f463,plain,
    ( spl3_60
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).

fof(f544,plain,
    ( e3 = op(op(e3,e2),op(e3,e2))
    | ~ spl3_77 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f542,plain,
    ( spl3_77
  <=> e3 = op(op(e3,e2),op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).

fof(f2824,plain,
    ( ~ spl3_9
    | ~ spl3_63
    | ~ spl3_105 ),
    inference(avatar_contradiction_clause,[],[f2823]) ).

fof(f2823,plain,
    ( $false
    | ~ spl3_9
    | ~ spl3_63
    | ~ spl3_105 ),
    inference(subsumption_resolution,[],[f2822,f69]) ).

fof(f69,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f2822,plain,
    ( e1 = e2
    | ~ spl3_9
    | ~ spl3_63
    | ~ spl3_105 ),
    inference(forward_demodulation,[],[f2818,f478]) ).

fof(f2818,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_9
    | ~ spl3_105 ),
    inference(backward_demodulation,[],[f701,f240]) ).

fof(f2787,plain,
    ( ~ spl3_63
    | spl3_107 ),
    inference(avatar_contradiction_clause,[],[f2786]) ).

fof(f2786,plain,
    ( $false
    | ~ spl3_63
    | spl3_107 ),
    inference(subsumption_resolution,[],[f2785,f478]) ).

fof(f2785,plain,
    ( e1 != op(e1,e1)
    | ~ spl3_63
    | spl3_107 ),
    inference(forward_demodulation,[],[f711,f478]) ).

fof(f711,plain,
    ( e1 != op(op(e1,e1),op(e1,e1))
    | spl3_107 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f710,plain,
    ( spl3_107
  <=> e1 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).

fof(f2782,plain,
    ( spl3_18
    | ~ spl3_57
    | ~ spl3_87 ),
    inference(avatar_contradiction_clause,[],[f2781]) ).

fof(f2781,plain,
    ( $false
    | spl3_18
    | ~ spl3_57
    | ~ spl3_87 ),
    inference(subsumption_resolution,[],[f2780,f277]) ).

fof(f277,plain,
    ( e0 != op(e3,e3)
    | spl3_18 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f2780,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_57
    | ~ spl3_87 ),
    inference(forward_demodulation,[],[f592,f452]) ).

fof(f452,plain,
    ( e3 = op(e0,e3)
    | ~ spl3_57 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f592,plain,
    ( e0 = op(op(e0,e3),op(e0,e3))
    | ~ spl3_87 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f590,plain,
    ( spl3_87
  <=> e0 = op(op(e0,e3),op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_87])]) ).

fof(f2761,plain,
    ( ~ spl3_6
    | ~ spl3_1
    | ~ spl3_42
    | spl3_104 ),
    inference(avatar_split_clause,[],[f2760,f694,f382,f204,f225]) ).

fof(f225,plain,
    ( spl3_6
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f694,plain,
    ( spl3_104
  <=> e2 = op(e0,op(op(e0,e0),e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).

fof(f2760,plain,
    ( e2 != op(e0,e3)
    | ~ spl3_1
    | ~ spl3_42
    | spl3_104 ),
    inference(forward_demodulation,[],[f2759,f384]) ).

fof(f2759,plain,
    ( e2 != op(e0,op(e1,e0))
    | ~ spl3_1
    | spl3_104 ),
    inference(forward_demodulation,[],[f696,f206]) ).

fof(f696,plain,
    ( e2 != op(e0,op(op(e0,e0),e0))
    | spl3_104 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f2758,plain,
    ( ~ spl3_68
    | ~ spl3_50 ),
    inference(avatar_split_clause,[],[f2757,f418,f499]) ).

fof(f418,plain,
    ( spl3_50
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).

fof(f2757,plain,
    ( e2 != op(e1,e0)
    | ~ spl3_50 ),
    inference(forward_demodulation,[],[f80,f420]) ).

fof(f420,plain,
    ( e2 = op(e1,e2)
    | ~ spl3_50 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f2745,plain,
    ( ~ spl3_47
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f2744,f382,f405]) ).

fof(f2744,plain,
    ( e3 != op(e2,e0)
    | ~ spl3_42 ),
    inference(forward_demodulation,[],[f110,f384]) ).

fof(f110,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2741,plain,
    ( ~ spl3_83
    | ~ spl3_1
    | spl3_32
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f2740,f382,f338,f204,f570]) ).

fof(f2740,plain,
    ( e1 != op(e0,e3)
    | ~ spl3_1
    | spl3_32
    | ~ spl3_42 ),
    inference(forward_demodulation,[],[f2739,f384]) ).

fof(f2739,plain,
    ( e1 != op(e0,op(e1,e0))
    | ~ spl3_1
    | spl3_32 ),
    inference(forward_demodulation,[],[f340,f206]) ).

fof(f2725,plain,
    ( ~ spl3_55
    | ~ spl3_60
    | ~ spl3_64
    | spl3_97 ),
    inference(avatar_contradiction_clause,[],[f2724]) ).

fof(f2724,plain,
    ( $false
    | ~ spl3_55
    | ~ spl3_60
    | ~ spl3_64
    | spl3_97 ),
    inference(subsumption_resolution,[],[f2723,f483]) ).

fof(f483,plain,
    ( e0 = op(e2,e1)
    | ~ spl3_64 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f481,plain,
    ( spl3_64
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_64])]) ).

fof(f2723,plain,
    ( e0 != op(e2,e1)
    | ~ spl3_55
    | ~ spl3_60
    | spl3_97 ),
    inference(forward_demodulation,[],[f2486,f465]) ).

fof(f2486,plain,
    ( e0 != op(e2,op(e3,e2))
    | ~ spl3_55
    | spl3_97 ),
    inference(forward_demodulation,[],[f645,f443]) ).

fof(f645,plain,
    ( e0 != op(e2,op(op(e2,e2),e2))
    | spl3_97 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f643,plain,
    ( spl3_97
  <=> e0 = op(e2,op(op(e2,e2),e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).

fof(f2707,plain,
    ( spl3_1
    | ~ spl3_53
    | ~ spl3_91 ),
    inference(avatar_split_clause,[],[f2667,f610,f432,f204]) ).

fof(f2667,plain,
    ( op(e0,e0) = e1
    | ~ spl3_53
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f434,f612]) ).

fof(f2684,plain,
    ( spl3_71
    | ~ spl3_83
    | ~ spl3_87 ),
    inference(avatar_contradiction_clause,[],[f2683]) ).

fof(f2683,plain,
    ( $false
    | spl3_71
    | ~ spl3_83
    | ~ spl3_87 ),
    inference(subsumption_resolution,[],[f2679,f514]) ).

fof(f514,plain,
    ( e0 != op(e1,e1)
    | spl3_71 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f2679,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_83
    | ~ spl3_87 ),
    inference(backward_demodulation,[],[f592,f572]) ).

fof(f572,plain,
    ( e1 = op(e0,e3)
    | ~ spl3_83 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f2682,plain,
    ( ~ spl3_14
    | ~ spl3_83 ),
    inference(avatar_split_clause,[],[f2680,f570,f259]) ).

fof(f2680,plain,
    ( e1 != op(e0,e1)
    | ~ spl3_83 ),
    inference(backward_demodulation,[],[f120,f572]) ).

fof(f120,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2664,plain,
    ( ~ spl3_57
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f2663,f216,f450]) ).

fof(f2663,plain,
    ( e3 != op(e0,e3)
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f96,f218]) ).

fof(f96,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2648,plain,
    ( spl3_2
    | ~ spl3_64
    | ~ spl3_72 ),
    inference(avatar_contradiction_clause,[],[f2647]) ).

fof(f2647,plain,
    ( $false
    | spl3_2
    | ~ spl3_64
    | ~ spl3_72 ),
    inference(subsumption_resolution,[],[f2646,f209]) ).

fof(f2646,plain,
    ( op(e0,e0) = e2
    | ~ spl3_64
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f520,f483]) ).

fof(f520,plain,
    ( e2 = op(op(e2,e1),op(e2,e1))
    | ~ spl3_72 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f518,plain,
    ( spl3_72
  <=> e2 = op(op(e2,e1),op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).

fof(f2645,plain,
    ( ~ spl3_5
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f2642,f233,f221]) ).

fof(f2642,plain,
    ( e2 != op(e1,e3)
    | ~ spl3_8 ),
    inference(backward_demodulation,[],[f99,f235]) ).

fof(f235,plain,
    ( e2 = op(e2,e3)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f2644,plain,
    ( ~ spl3_8
    | spl3_89
    | ~ spl3_105 ),
    inference(avatar_contradiction_clause,[],[f2643]) ).

fof(f2643,plain,
    ( $false
    | ~ spl3_8
    | spl3_89
    | ~ spl3_105 ),
    inference(subsumption_resolution,[],[f2641,f601]) ).

fof(f601,plain,
    ( e2 != op(e2,e2)
    | spl3_89 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f600,plain,
    ( spl3_89
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).

fof(f2641,plain,
    ( e2 = op(e2,e2)
    | ~ spl3_8
    | ~ spl3_105 ),
    inference(backward_demodulation,[],[f701,f235]) ).

fof(f2634,plain,
    ( ~ spl3_76
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f2633,f216,f537]) ).

fof(f2633,plain,
    ( e3 != op(e0,e2)
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f93,f218]) ).

fof(f93,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2623,plain,
    ( ~ spl3_4
    | ~ spl3_20
    | ~ spl3_31 ),
    inference(avatar_contradiction_clause,[],[f2622]) ).

fof(f2622,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_20
    | ~ spl3_31 ),
    inference(subsumption_resolution,[],[f2621,f67]) ).

fof(f2621,plain,
    ( e0 = e2
    | ~ spl3_4
    | ~ spl3_20
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f2620,f286]) ).

fof(f286,plain,
    ( e0 = op(e3,e0)
    | ~ spl3_20 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f2620,plain,
    ( e2 = op(e3,e0)
    | ~ spl3_4
    | ~ spl3_31 ),
    inference(forward_demodulation,[],[f335,f218]) ).

fof(f2619,plain,
    ( ~ spl3_72
    | spl3_89
    | ~ spl3_90 ),
    inference(avatar_contradiction_clause,[],[f2618]) ).

fof(f2618,plain,
    ( $false
    | ~ spl3_72
    | spl3_89
    | ~ spl3_90 ),
    inference(subsumption_resolution,[],[f2617,f601]) ).

fof(f2617,plain,
    ( e2 = op(e2,e2)
    | ~ spl3_72
    | ~ spl3_90 ),
    inference(forward_demodulation,[],[f520,f607]) ).

fof(f2613,plain,
    ( ~ spl3_6
    | spl3_35
    | ~ spl3_87 ),
    inference(avatar_contradiction_clause,[],[f2612]) ).

fof(f2612,plain,
    ( $false
    | ~ spl3_6
    | spl3_35
    | ~ spl3_87 ),
    inference(subsumption_resolution,[],[f2611,f352]) ).

fof(f352,plain,
    ( e0 != op(e2,e2)
    | spl3_35 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f2611,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_6
    | ~ spl3_87 ),
    inference(forward_demodulation,[],[f592,f227]) ).

fof(f227,plain,
    ( e2 = op(e0,e3)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f2591,plain,
    ( ~ spl3_53
    | spl3_63
    | ~ spl3_66 ),
    inference(avatar_contradiction_clause,[],[f2590]) ).

fof(f2590,plain,
    ( $false
    | ~ spl3_53
    | spl3_63
    | ~ spl3_66 ),
    inference(subsumption_resolution,[],[f2589,f477]) ).

fof(f477,plain,
    ( e1 != op(e1,e1)
    | spl3_63 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f2589,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_53
    | ~ spl3_66 ),
    inference(forward_demodulation,[],[f434,f492]) ).

fof(f2570,plain,
    ( ~ spl3_21
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f2568,f225,f289]) ).

fof(f2568,plain,
    ( e2 != op(e0,e2)
    | ~ spl3_6 ),
    inference(backward_demodulation,[],[f123,f227]) ).

fof(f2510,plain,
    ( spl3_3
    | ~ spl3_16
    | ~ spl3_103 ),
    inference(avatar_contradiction_clause,[],[f2509]) ).

fof(f2509,plain,
    ( $false
    | spl3_3
    | ~ spl3_16
    | ~ spl3_103 ),
    inference(subsumption_resolution,[],[f2505,f213]) ).

fof(f213,plain,
    ( e0 != op(e0,e0)
    | spl3_3 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f2505,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_16
    | ~ spl3_103 ),
    inference(backward_demodulation,[],[f688,f269]) ).

fof(f269,plain,
    ( e0 = op(e0,e1)
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl3_16
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f688,plain,
    ( e0 = op(op(e0,e1),op(e0,e1))
    | ~ spl3_103 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f686,plain,
    ( spl3_103
  <=> e0 = op(op(e0,e1),op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).

fof(f2503,plain,
    ( spl3_69
    | ~ spl3_10
    | ~ spl3_72 ),
    inference(avatar_split_clause,[],[f2502,f518,f242,f503]) ).

fof(f2502,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_10
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f520,f244]) ).

fof(f244,plain,
    ( e1 = op(e2,e1)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f2491,plain,
    ( ~ spl3_71
    | ~ spl3_33 ),
    inference(avatar_split_clause,[],[f2490,f343,f513]) ).

fof(f2490,plain,
    ( e0 != op(e1,e1)
    | ~ spl3_33 ),
    inference(forward_demodulation,[],[f89,f345]) ).

fof(f345,plain,
    ( e0 = op(e1,e2)
    | ~ spl3_33 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f2477,plain,
    ( ~ spl3_15
    | ~ spl3_57 ),
    inference(avatar_split_clause,[],[f2476,f450,f263]) ).

fof(f2476,plain,
    ( e3 != op(e0,e1)
    | ~ spl3_57 ),
    inference(forward_demodulation,[],[f120,f452]) ).

fof(f2457,plain,
    ( ~ spl3_84
    | ~ spl3_68 ),
    inference(avatar_split_clause,[],[f2456,f499,f576]) ).

fof(f2456,plain,
    ( e2 != op(e3,e0)
    | ~ spl3_68 ),
    inference(forward_demodulation,[],[f114,f501]) ).

fof(f2451,plain,
    ( ~ spl3_15
    | ~ spl3_24 ),
    inference(avatar_split_clause,[],[f2450,f302,f263]) ).

fof(f302,plain,
    ( spl3_24
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f2450,plain,
    ( e3 != op(e0,e1)
    | ~ spl3_24 ),
    inference(forward_demodulation,[],[f95,f303]) ).

fof(f303,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f95,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2445,plain,
    ( ~ spl3_71
    | ~ spl3_1
    | spl3_45 ),
    inference(avatar_split_clause,[],[f2444,f396,f204,f513]) ).

fof(f396,plain,
    ( spl3_45
  <=> e0 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).

fof(f2444,plain,
    ( e0 != op(e1,e1)
    | ~ spl3_1
    | spl3_45 ),
    inference(forward_demodulation,[],[f397,f206]) ).

fof(f397,plain,
    ( e0 != op(op(e0,e0),op(e0,e0))
    | spl3_45 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f2439,plain,
    ( ~ spl3_78
    | ~ spl3_58 ),
    inference(avatar_split_clause,[],[f2434,f454,f547]) ).

fof(f454,plain,
    ( spl3_58
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).

fof(f2434,plain,
    ( e3 != op(e3,e0)
    | ~ spl3_58 ),
    inference(backward_demodulation,[],[f91,f456]) ).

fof(f456,plain,
    ( e3 = op(e3,e3)
    | ~ spl3_58 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f91,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2431,plain,
    ( ~ spl3_24
    | spl3_36
    | ~ spl3_107 ),
    inference(avatar_contradiction_clause,[],[f2430]) ).

fof(f2430,plain,
    ( $false
    | ~ spl3_24
    | spl3_36
    | ~ spl3_107 ),
    inference(subsumption_resolution,[],[f2429,f358]) ).

fof(f2429,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_24
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f712,f303]) ).

fof(f712,plain,
    ( e1 = op(op(e1,e1),op(e1,e1))
    | ~ spl3_107 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f2422,plain,
    ( ~ spl3_6
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f2418,f233,f225]) ).

fof(f2418,plain,
    ( e2 != op(e0,e3)
    | ~ spl3_8 ),
    inference(backward_demodulation,[],[f112,f235]) ).

fof(f112,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2421,plain,
    ( ~ spl3_89
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f2419,f233,f600]) ).

fof(f2419,plain,
    ( e2 != op(e2,e2)
    | ~ spl3_8 ),
    inference(backward_demodulation,[],[f78,f235]) ).

fof(f2358,plain,
    ( ~ spl3_64
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f1942,f513,f481]) ).

fof(f1942,plain,
    ( e0 != op(e2,e1)
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f119,f515]) ).

fof(f2355,plain,
    ( ~ spl3_10
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f2354,f238,f242]) ).

fof(f2354,plain,
    ( e1 != op(e2,e1)
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f105,f240]) ).

fof(f105,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2352,plain,
    ( ~ spl3_21
    | ~ spl3_1
    | ~ spl3_68
    | spl3_104 ),
    inference(avatar_split_clause,[],[f2351,f694,f499,f204,f289]) ).

fof(f2351,plain,
    ( e2 != op(e0,e2)
    | ~ spl3_1
    | ~ spl3_68
    | spl3_104 ),
    inference(forward_demodulation,[],[f2060,f501]) ).

fof(f2060,plain,
    ( e2 != op(e0,op(e1,e0))
    | ~ spl3_1
    | spl3_104 ),
    inference(forward_demodulation,[],[f696,f206]) ).

fof(f2346,plain,
    ( ~ spl3_7
    | ~ spl3_84 ),
    inference(avatar_contradiction_clause,[],[f2345]) ).

fof(f2345,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_84 ),
    inference(subsumption_resolution,[],[f2344,f578]) ).

fof(f578,plain,
    ( e2 = op(e3,e0)
    | ~ spl3_84 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f2344,plain,
    ( e2 != op(e3,e0)
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f91,f231]) ).

fof(f2332,plain,
    ( ~ spl3_10
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f2331,f250,f242]) ).

fof(f2331,plain,
    ( e1 != op(e2,e1)
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f87,f252]) ).

fof(f252,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f87,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2324,plain,
    ( ~ spl3_85
    | ~ spl3_62 ),
    inference(avatar_split_clause,[],[f2270,f472,f580]) ).

fof(f472,plain,
    ( spl3_62
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).

fof(f2270,plain,
    ( e1 != op(e3,e0)
    | ~ spl3_62 ),
    inference(forward_demodulation,[],[f82,f474]) ).

fof(f474,plain,
    ( e1 = op(e3,e1)
    | ~ spl3_62 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f82,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2310,plain,
    ( ~ spl3_7
    | ~ spl3_58 ),
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2309,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_58 ),
    inference(subsumption_resolution,[],[f2308,f68]) ).

fof(f68,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f2308,plain,
    ( e2 = e3
    | ~ spl3_7
    | ~ spl3_58 ),
    inference(backward_demodulation,[],[f456,f231]) ).

fof(f2305,plain,
    ( ~ spl3_1
    | ~ spl3_19
    | ~ spl3_77 ),
    inference(avatar_contradiction_clause,[],[f2304]) ).

fof(f2304,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_19
    | ~ spl3_77 ),
    inference(subsumption_resolution,[],[f2303,f65]) ).

fof(f2303,plain,
    ( e1 = e3
    | ~ spl3_1
    | ~ spl3_19
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f2302,f206]) ).

fof(f2302,plain,
    ( op(e0,e0) = e3
    | ~ spl3_19
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f544,f282]) ).

fof(f2299,plain,
    ( ~ spl3_11
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f2296,f250,f246]) ).

fof(f2296,plain,
    ( e1 != op(e2,e0)
    | ~ spl3_12 ),
    inference(backward_demodulation,[],[f102,f252]) ).

fof(f2298,plain,
    ( ~ spl3_9
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f2295,f250,f238]) ).

fof(f2295,plain,
    ( e1 != op(e2,e3)
    | ~ spl3_12 ),
    inference(backward_demodulation,[],[f78,f252]) ).

fof(f2290,plain,
    ( ~ spl3_48
    | ~ spl3_68 ),
    inference(avatar_split_clause,[],[f2289,f499,f409]) ).

fof(f2289,plain,
    ( e2 != op(e2,e0)
    | ~ spl3_68 ),
    inference(forward_demodulation,[],[f110,f501]) ).

fof(f2287,plain,
    ( ~ spl3_48
    | ~ spl3_84 ),
    inference(avatar_split_clause,[],[f2286,f576,f409]) ).

fof(f2286,plain,
    ( e2 != op(e2,e0)
    | ~ spl3_84 ),
    inference(backward_demodulation,[],[f103,f578]) ).

fof(f2278,plain,
    ( ~ spl3_13
    | spl3_23
    | ~ spl3_71 ),
    inference(avatar_contradiction_clause,[],[f2277]) ).

fof(f2277,plain,
    ( $false
    | ~ spl3_13
    | spl3_23
    | ~ spl3_71 ),
    inference(subsumption_resolution,[],[f1953,f257]) ).

fof(f1953,plain,
    ( e2 != op(e0,e1)
    | spl3_23
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f300,f515]) ).

fof(f300,plain,
    ( e2 != op(op(e1,e1),e1)
    | spl3_23 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl3_23
  <=> e2 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).

fof(f2260,plain,
    ( ~ spl3_13
    | spl3_35
    | ~ spl3_103 ),
    inference(avatar_contradiction_clause,[],[f2259]) ).

fof(f2259,plain,
    ( $false
    | ~ spl3_13
    | spl3_35
    | ~ spl3_103 ),
    inference(subsumption_resolution,[],[f2258,f352]) ).

fof(f2258,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_13
    | ~ spl3_103 ),
    inference(forward_demodulation,[],[f688,f257]) ).

fof(f2231,plain,
    ( ~ spl3_1
    | ~ spl3_98 ),
    inference(avatar_contradiction_clause,[],[f2230]) ).

fof(f2230,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_98 ),
    inference(subsumption_resolution,[],[f2229,f206]) ).

fof(f2229,plain,
    ( op(e0,e0) != e1
    | ~ spl3_98 ),
    inference(forward_demodulation,[],[f93,f653]) ).

fof(f2227,plain,
    ( ~ spl3_34
    | ~ spl3_33 ),
    inference(avatar_split_clause,[],[f2226,f343,f347]) ).

fof(f347,plain,
    ( spl3_34
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).

fof(f2226,plain,
    ( e0 != op(e0,e2)
    | ~ spl3_33 ),
    inference(forward_demodulation,[],[f86,f345]) ).

fof(f86,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2206,plain,
    ( ~ spl3_42
    | ~ spl3_68 ),
    inference(avatar_contradiction_clause,[],[f2205]) ).

fof(f2205,plain,
    ( $false
    | ~ spl3_42
    | ~ spl3_68 ),
    inference(subsumption_resolution,[],[f2204,f68]) ).

fof(f2204,plain,
    ( e2 = e3
    | ~ spl3_42
    | ~ spl3_68 ),
    inference(backward_demodulation,[],[f384,f501]) ).

fof(f2173,plain,
    ( ~ spl3_62
    | ~ spl3_71
    | ~ spl3_88 ),
    inference(avatar_contradiction_clause,[],[f2172]) ).

fof(f2172,plain,
    ( $false
    | ~ spl3_62
    | ~ spl3_71
    | ~ spl3_88 ),
    inference(subsumption_resolution,[],[f2171,f64]) ).

fof(f2171,plain,
    ( e0 = e3
    | ~ spl3_62
    | ~ spl3_71
    | ~ spl3_88 ),
    inference(forward_demodulation,[],[f2170,f515]) ).

fof(f2170,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_62
    | ~ spl3_88 ),
    inference(forward_demodulation,[],[f597,f474]) ).

fof(f2168,plain,
    ( ~ spl3_41
    | ~ spl3_13
    | ~ spl3_71
    | spl3_101 ),
    inference(avatar_split_clause,[],[f2166,f672,f513,f255,f378]) ).

fof(f378,plain,
    ( spl3_41
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).

fof(f672,plain,
    ( spl3_101
  <=> e3 = op(e1,op(op(e1,e1),e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_101])]) ).

fof(f2166,plain,
    ( e3 != op(e1,e2)
    | ~ spl3_13
    | ~ spl3_71
    | spl3_101 ),
    inference(backward_demodulation,[],[f1951,f257]) ).

fof(f1951,plain,
    ( e3 != op(e1,op(e0,e1))
    | ~ spl3_71
    | spl3_101 ),
    inference(forward_demodulation,[],[f674,f515]) ).

fof(f674,plain,
    ( e3 != op(e1,op(op(e1,e1),e1))
    | spl3_101 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f2153,plain,
    ( ~ spl3_68
    | ~ spl3_1
    | spl3_31 ),
    inference(avatar_split_clause,[],[f1949,f334,f204,f499]) ).

fof(f1949,plain,
    ( e2 != op(e1,e0)
    | ~ spl3_1
    | spl3_31 ),
    inference(forward_demodulation,[],[f336,f206]) ).

fof(f2148,plain,
    ( ~ spl3_61
    | ~ spl3_58 ),
    inference(avatar_split_clause,[],[f2143,f454,f467]) ).

fof(f2143,plain,
    ( e3 != op(e3,e2)
    | ~ spl3_58 ),
    inference(backward_demodulation,[],[f83,f456]) ).

fof(f83,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2129,plain,
    ( ~ spl3_62
    | ~ spl3_95 ),
    inference(avatar_contradiction_clause,[],[f2128]) ).

fof(f2128,plain,
    ( $false
    | ~ spl3_62
    | ~ spl3_95 ),
    inference(subsumption_resolution,[],[f2127,f69]) ).

fof(f2127,plain,
    ( e1 = e2
    | ~ spl3_62
    | ~ spl3_95 ),
    inference(backward_demodulation,[],[f634,f474]) ).

fof(f634,plain,
    ( e2 = op(e3,e1)
    | ~ spl3_95 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f2108,plain,
    ( ~ spl3_7
    | ~ spl3_95 ),
    inference(avatar_contradiction_clause,[],[f2107]) ).

fof(f2107,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_95 ),
    inference(subsumption_resolution,[],[f2106,f634]) ).

fof(f2106,plain,
    ( e2 != op(e3,e1)
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f115,f231]) ).

fof(f115,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2100,plain,
    ( ~ spl3_10
    | ~ spl3_71
    | ~ spl3_72 ),
    inference(avatar_contradiction_clause,[],[f2099]) ).

fof(f2099,plain,
    ( $false
    | ~ spl3_10
    | ~ spl3_71
    | ~ spl3_72 ),
    inference(subsumption_resolution,[],[f2098,f67]) ).

fof(f2098,plain,
    ( e0 = e2
    | ~ spl3_10
    | ~ spl3_71
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f2097,f515]) ).

fof(f2097,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_10
    | ~ spl3_72 ),
    inference(forward_demodulation,[],[f520,f244]) ).

fof(f2074,plain,
    ( spl3_55
    | ~ spl3_88
    | ~ spl3_95 ),
    inference(avatar_split_clause,[],[f2073,f632,f595,f441]) ).

fof(f2073,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_88
    | ~ spl3_95 ),
    inference(forward_demodulation,[],[f597,f634]) ).

fof(f2071,plain,
    ( ~ spl3_15
    | spl3_18
    | ~ spl3_103 ),
    inference(avatar_contradiction_clause,[],[f2070]) ).

fof(f2070,plain,
    ( $false
    | ~ spl3_15
    | spl3_18
    | ~ spl3_103 ),
    inference(subsumption_resolution,[],[f2069,f277]) ).

fof(f2069,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_15
    | ~ spl3_103 ),
    inference(forward_demodulation,[],[f688,f265]) ).

fof(f2055,plain,
    ( ~ spl3_60
    | ~ spl3_71
    | ~ spl3_77 ),
    inference(avatar_contradiction_clause,[],[f2054]) ).

fof(f2054,plain,
    ( $false
    | ~ spl3_60
    | ~ spl3_71
    | ~ spl3_77 ),
    inference(subsumption_resolution,[],[f2053,f64]) ).

fof(f2053,plain,
    ( e0 = e3
    | ~ spl3_60
    | ~ spl3_71
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f2052,f515]) ).

fof(f2052,plain,
    ( e3 = op(e1,e1)
    | ~ spl3_60
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f544,f465]) ).

fof(f2043,plain,
    ( spl3_7
    | ~ spl3_55
    | ~ spl3_102 ),
    inference(avatar_contradiction_clause,[],[f2042]) ).

fof(f2042,plain,
    ( $false
    | spl3_7
    | ~ spl3_55
    | ~ spl3_102 ),
    inference(subsumption_resolution,[],[f2041,f230]) ).

fof(f2041,plain,
    ( e2 = op(e3,e3)
    | ~ spl3_55
    | ~ spl3_102 ),
    inference(forward_demodulation,[],[f681,f443]) ).

fof(f2036,plain,
    ( spl3_36
    | ~ spl3_39
    | ~ spl3_42 ),
    inference(avatar_contradiction_clause,[],[f2035]) ).

fof(f2035,plain,
    ( $false
    | spl3_36
    | ~ spl3_39
    | ~ spl3_42 ),
    inference(subsumption_resolution,[],[f2033,f358]) ).

fof(f2033,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_39
    | ~ spl3_42 ),
    inference(backward_demodulation,[],[f371,f384]) ).

fof(f2003,plain,
    ( spl3_12
    | ~ spl3_50
    | ~ spl3_52 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2002,plain,
    ( $false
    | spl3_12
    | ~ spl3_50
    | ~ spl3_52 ),
    inference(subsumption_resolution,[],[f2001,f251]) ).

fof(f251,plain,
    ( e1 != op(e2,e2)
    | spl3_12 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f2001,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_50
    | ~ spl3_52 ),
    inference(forward_demodulation,[],[f429,f420]) ).

fof(f429,plain,
    ( e1 = op(op(e1,e2),op(e1,e2))
    | ~ spl3_52 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f427,plain,
    ( spl3_52
  <=> e1 = op(op(e1,e2),op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).

fof(f1986,plain,
    ( ~ spl3_1
    | ~ spl3_20
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f1985]) ).

fof(f1985,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_20
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f1984,f65]) ).

fof(f1984,plain,
    ( e1 = e3
    | ~ spl3_1
    | ~ spl3_20
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f1979,f206]) ).

fof(f1979,plain,
    ( op(e0,e0) = e3
    | ~ spl3_20
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f318,f286]) ).

fof(f1983,plain,
    ( ~ spl3_19
    | ~ spl3_20 ),
    inference(avatar_split_clause,[],[f1977,f284,f280]) ).

fof(f1977,plain,
    ( e0 != op(e3,e2)
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f111,f286]) ).

fof(f111,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1936,plain,
    ( ~ spl3_15
    | ~ spl3_71
    | spl3_86 ),
    inference(avatar_split_clause,[],[f1935,f585,f513,f263]) ).

fof(f585,plain,
    ( spl3_86
  <=> e3 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).

fof(f1935,plain,
    ( e3 != op(e0,e1)
    | ~ spl3_71
    | spl3_86 ),
    inference(forward_demodulation,[],[f587,f515]) ).

fof(f587,plain,
    ( e3 != op(op(e1,e1),e1)
    | spl3_86 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f1922,plain,
    ( ~ spl3_19
    | ~ spl3_34 ),
    inference(avatar_split_clause,[],[f1920,f347,f280]) ).

fof(f1920,plain,
    ( e0 != op(e3,e2)
    | ~ spl3_34 ),
    inference(backward_demodulation,[],[f94,f349]) ).

fof(f349,plain,
    ( e0 = op(e0,e2)
    | ~ spl3_34 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f94,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1917,plain,
    ( ~ spl3_42
    | ~ spl3_1
    | spl3_70 ),
    inference(avatar_split_clause,[],[f1915,f508,f204,f382]) ).

fof(f508,plain,
    ( spl3_70
  <=> e3 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).

fof(f1915,plain,
    ( e3 != op(e1,e0)
    | ~ spl3_1
    | spl3_70 ),
    inference(backward_demodulation,[],[f510,f206]) ).

fof(f510,plain,
    ( e3 != op(op(e0,e0),e0)
    | spl3_70 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f1886,plain,
    ( ~ spl3_12
    | ~ spl3_71
    | ~ spl3_102 ),
    inference(avatar_contradiction_clause,[],[f1885]) ).

fof(f1885,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_71
    | ~ spl3_102 ),
    inference(subsumption_resolution,[],[f1884,f67]) ).

fof(f1884,plain,
    ( e0 = e2
    | ~ spl3_12
    | ~ spl3_71
    | ~ spl3_102 ),
    inference(forward_demodulation,[],[f1883,f515]) ).

fof(f1883,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_12
    | ~ spl3_102 ),
    inference(forward_demodulation,[],[f681,f252]) ).

fof(f1875,plain,
    ( ~ spl3_3
    | ~ spl3_19
    | ~ spl3_77 ),
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1874,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_19
    | ~ spl3_77 ),
    inference(subsumption_resolution,[],[f1873,f64]) ).

fof(f1873,plain,
    ( e0 = e3
    | ~ spl3_3
    | ~ spl3_19
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f1872,f214]) ).

fof(f1872,plain,
    ( op(e0,e0) = e3
    | ~ spl3_19
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f544,f282]) ).

fof(f1871,plain,
    ( ~ spl3_21
    | spl3_35
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1870]) ).

fof(f1870,plain,
    ( $false
    | ~ spl3_21
    | spl3_35
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1869,f352]) ).

fof(f1869,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_21
    | ~ spl3_106 ),
    inference(backward_demodulation,[],[f706,f291]) ).

fof(f291,plain,
    ( e2 = op(e0,e2)
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f706,plain,
    ( e0 = op(op(e0,e2),op(e0,e2))
    | ~ spl3_106 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f704,plain,
    ( spl3_106
  <=> e0 = op(op(e0,e2),op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).

fof(f1857,plain,
    ( ~ spl3_63
    | ~ spl3_71 ),
    inference(avatar_contradiction_clause,[],[f1856]) ).

fof(f1856,plain,
    ( $false
    | ~ spl3_63
    | ~ spl3_71 ),
    inference(subsumption_resolution,[],[f1855,f66]) ).

fof(f66,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f1855,plain,
    ( e0 = e1
    | ~ spl3_63
    | ~ spl3_71 ),
    inference(backward_demodulation,[],[f478,f515]) ).

fof(f1847,plain,
    ( ~ spl3_3
    | ~ spl3_32 ),
    inference(avatar_contradiction_clause,[],[f1846]) ).

fof(f1846,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(subsumption_resolution,[],[f1845,f66]) ).

fof(f1845,plain,
    ( e0 = e1
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1844,f214]) ).

fof(f1844,plain,
    ( op(e0,e0) = e1
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f1843,f214]) ).

fof(f1843,plain,
    ( e1 = op(e0,op(e0,e0))
    | ~ spl3_3
    | ~ spl3_32 ),
    inference(forward_demodulation,[],[f339,f214]) ).

fof(f339,plain,
    ( e1 = op(e0,op(op(e0,e0),e0))
    | ~ spl3_32 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f1840,plain,
    ( ~ spl3_49
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f1839,f250,f414]) ).

fof(f1839,plain,
    ( e1 != op(e1,e2)
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f121,f252]) ).

fof(f121,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1809,plain,
    ( ~ spl3_19
    | ~ spl3_5
    | ~ spl3_36
    | spl3_37 ),
    inference(avatar_split_clause,[],[f1808,f360,f356,f221,f280]) ).

fof(f360,plain,
    ( spl3_37
  <=> e0 = op(e3,op(op(e3,e3),e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).

fof(f1808,plain,
    ( e0 != op(e3,e2)
    | ~ spl3_5
    | ~ spl3_36
    | spl3_37 ),
    inference(forward_demodulation,[],[f1443,f223]) ).

fof(f1443,plain,
    ( e0 != op(e3,op(e1,e3))
    | ~ spl3_36
    | spl3_37 ),
    inference(forward_demodulation,[],[f362,f357]) ).

fof(f362,plain,
    ( e0 != op(e3,op(op(e3,e3),e3))
    | spl3_37 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f1804,plain,
    ( ~ spl3_30
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f1803,f263,f329]) ).

fof(f329,plain,
    ( spl3_30
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).

fof(f1803,plain,
    ( e3 != op(e3,e1)
    | ~ spl3_15 ),
    inference(forward_demodulation,[],[f113,f265]) ).

fof(f113,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1802,plain,
    ( ~ spl3_14
    | ~ spl3_63 ),
    inference(avatar_split_clause,[],[f1605,f476,f259]) ).

fof(f1605,plain,
    ( e1 != op(e0,e1)
    | ~ spl3_63 ),
    inference(forward_demodulation,[],[f95,f478]) ).

fof(f1798,plain,
    ( ~ spl3_5
    | ~ spl3_68 ),
    inference(avatar_split_clause,[],[f1797,f499,f221]) ).

fof(f1797,plain,
    ( e2 != op(e1,e3)
    | ~ spl3_68 ),
    inference(forward_demodulation,[],[f109,f501]) ).

fof(f1786,plain,
    ( ~ spl3_3
    | ~ spl3_73 ),
    inference(avatar_contradiction_clause,[],[f1785]) ).

fof(f1785,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_73 ),
    inference(subsumption_resolution,[],[f1784,f66]) ).

fof(f1784,plain,
    ( e0 = e1
    | ~ spl3_3
    | ~ spl3_73 ),
    inference(forward_demodulation,[],[f1783,f214]) ).

fof(f1783,plain,
    ( op(e0,e0) = e1
    | ~ spl3_3
    | ~ spl3_73 ),
    inference(backward_demodulation,[],[f524,f214]) ).

fof(f524,plain,
    ( e1 = op(op(e0,e0),e0)
    | ~ spl3_73 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f1777,plain,
    ( ~ spl3_2
    | ~ spl3_68 ),
    inference(avatar_split_clause,[],[f1776,f499,f208]) ).

fof(f1776,plain,
    ( op(e0,e0) != e2
    | ~ spl3_68 ),
    inference(backward_demodulation,[],[f118,f501]) ).

fof(f1746,plain,
    ( ~ spl3_2
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f1745,f225,f208]) ).

fof(f1745,plain,
    ( op(e0,e0) != e2
    | ~ spl3_6 ),
    inference(forward_demodulation,[],[f96,f227]) ).

fof(f1742,plain,
    ( ~ spl3_67
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f1741,f246,f494]) ).

fof(f1741,plain,
    ( e1 != op(e1,e0)
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f110,f248]) ).

fof(f1736,plain,
    ( ~ spl3_83
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f1735,f356,f570]) ).

fof(f1735,plain,
    ( e1 != op(e0,e3)
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f81,f357]) ).

fof(f81,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1731,plain,
    ( ~ spl3_89
    | ~ spl3_90 ),
    inference(avatar_split_clause,[],[f1730,f605,f600]) ).

fof(f1730,plain,
    ( e2 != op(e2,e2)
    | ~ spl3_90 ),
    inference(forward_demodulation,[],[f87,f607]) ).

fof(f1721,plain,
    ( spl3_1
    | ~ spl3_33
    | ~ spl3_52 ),
    inference(avatar_split_clause,[],[f1720,f427,f343,f204]) ).

fof(f1720,plain,
    ( op(e0,e0) = e1
    | ~ spl3_33
    | ~ spl3_52 ),
    inference(forward_demodulation,[],[f429,f345]) ).

fof(f1715,plain,
    ( spl3_71
    | ~ spl3_98
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1714]) ).

fof(f1714,plain,
    ( $false
    | spl3_71
    | ~ spl3_98
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1712,f514]) ).

fof(f1712,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_98
    | ~ spl3_106 ),
    inference(backward_demodulation,[],[f706,f653]) ).

fof(f1708,plain,
    ( ~ spl3_96
    | ~ spl3_33 ),
    inference(avatar_split_clause,[],[f1707,f343,f637]) ).

fof(f1707,plain,
    ( e0 != op(e1,e0)
    | ~ spl3_33 ),
    inference(backward_demodulation,[],[f80,f345]) ).

fof(f1702,plain,
    ( ~ spl3_4
    | ~ spl3_78 ),
    inference(avatar_split_clause,[],[f1623,f547,f216]) ).

fof(f1623,plain,
    ( op(e0,e0) != e3
    | ~ spl3_78 ),
    inference(forward_demodulation,[],[f79,f549]) ).

fof(f549,plain,
    ( e3 = op(e3,e0)
    | ~ spl3_78 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f79,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1670,plain,
    ( spl3_3
    | ~ spl3_34
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1669]) ).

fof(f1669,plain,
    ( $false
    | spl3_3
    | ~ spl3_34
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1666,f213]) ).

fof(f1666,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_34
    | ~ spl3_106 ),
    inference(backward_demodulation,[],[f706,f349]) ).

fof(f1649,plain,
    ( ~ spl3_41
    | ~ spl3_49 ),
    inference(avatar_contradiction_clause,[],[f1648]) ).

fof(f1648,plain,
    ( $false
    | ~ spl3_41
    | ~ spl3_49 ),
    inference(subsumption_resolution,[],[f1647,f65]) ).

fof(f1647,plain,
    ( e1 = e3
    | ~ spl3_41
    | ~ spl3_49 ),
    inference(forward_demodulation,[],[f380,f416]) ).

fof(f380,plain,
    ( e3 = op(e1,e2)
    | ~ spl3_41 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f1641,plain,
    ( ~ spl3_46
    | ~ spl3_96 ),
    inference(avatar_contradiction_clause,[],[f1640]) ).

fof(f1640,plain,
    ( $false
    | ~ spl3_46
    | ~ spl3_96 ),
    inference(subsumption_resolution,[],[f1298,f403]) ).

fof(f1298,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f110,f639]) ).

fof(f1608,plain,
    ( ~ spl3_29
    | ~ spl3_56 ),
    inference(avatar_split_clause,[],[f1606,f445,f325]) ).

fof(f1606,plain,
    ( e3 != op(e2,e1)
    | ~ spl3_56 ),
    inference(backward_demodulation,[],[f105,f447]) ).

fof(f1591,plain,
    ( spl3_55
    | ~ spl3_59
    | ~ spl3_77 ),
    inference(avatar_split_clause,[],[f1590,f542,f459,f441]) ).

fof(f1590,plain,
    ( e3 = op(e2,e2)
    | ~ spl3_59
    | ~ spl3_77 ),
    inference(forward_demodulation,[],[f544,f461]) ).

fof(f1585,plain,
    ( ~ spl3_1
    | ~ spl3_45
    | spl3_71 ),
    inference(avatar_contradiction_clause,[],[f1584]) ).

fof(f1584,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_45
    | spl3_71 ),
    inference(subsumption_resolution,[],[f1581,f514]) ).

fof(f1581,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_1
    | ~ spl3_45 ),
    inference(backward_demodulation,[],[f398,f206]) ).

fof(f398,plain,
    ( e0 = op(op(e0,e0),op(e0,e0))
    | ~ spl3_45 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1578,plain,
    ( ~ spl3_34
    | ~ spl3_92 ),
    inference(avatar_split_clause,[],[f1364,f614,f347]) ).

fof(f1364,plain,
    ( e0 != op(e0,e2)
    | ~ spl3_92 ),
    inference(forward_demodulation,[],[f123,f616]) ).

fof(f616,plain,
    ( e0 = op(e0,e3)
    | ~ spl3_92 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f1575,plain,
    ( ~ spl3_46
    | ~ spl3_48 ),
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1574,plain,
    ( $false
    | ~ spl3_46
    | ~ spl3_48 ),
    inference(subsumption_resolution,[],[f1573,f67]) ).

fof(f1573,plain,
    ( e0 = e2
    | ~ spl3_46
    | ~ spl3_48 ),
    inference(forward_demodulation,[],[f411,f403]) ).

fof(f1572,plain,
    ( spl3_63
    | ~ spl3_49
    | ~ spl3_52 ),
    inference(avatar_split_clause,[],[f1571,f427,f414,f476]) ).

fof(f1571,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_49
    | ~ spl3_52 ),
    inference(forward_demodulation,[],[f429,f416]) ).

fof(f1570,plain,
    ( ~ spl3_3
    | ~ spl3_46 ),
    inference(avatar_split_clause,[],[f1568,f401,f212]) ).

fof(f1568,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_46 ),
    inference(backward_demodulation,[],[f125,f403]) ).

fof(f1565,plain,
    ( ~ spl3_3
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f1564,f637,f212]) ).

fof(f1564,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f118,f639]) ).

fof(f1535,plain,
    ( ~ spl3_3
    | ~ spl3_92 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_92 ),
    inference(subsumption_resolution,[],[f1372,f214]) ).

fof(f1372,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_92 ),
    inference(forward_demodulation,[],[f96,f616]) ).

fof(f1524,plain,
    ( ~ spl3_56
    | ~ spl3_40 ),
    inference(avatar_split_clause,[],[f1519,f374,f445]) ).

fof(f1519,plain,
    ( e3 != op(e2,e3)
    | ~ spl3_40 ),
    inference(backward_demodulation,[],[f99,f376]) ).

fof(f1510,plain,
    ( ~ spl3_2
    | ~ spl3_3 ),
    inference(avatar_contradiction_clause,[],[f1509]) ).

fof(f1509,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_3 ),
    inference(subsumption_resolution,[],[f1508,f67]) ).

fof(f1508,plain,
    ( e0 = e2
    | ~ spl3_2
    | ~ spl3_3 ),
    inference(backward_demodulation,[],[f210,f214]) ).

fof(f210,plain,
    ( op(e0,e0) = e2
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f1504,plain,
    ( ~ spl3_35
    | ~ spl3_69
    | ~ spl3_107 ),
    inference(avatar_contradiction_clause,[],[f1503]) ).

fof(f1503,plain,
    ( $false
    | ~ spl3_35
    | ~ spl3_69
    | ~ spl3_107 ),
    inference(subsumption_resolution,[],[f1502,f66]) ).

fof(f1502,plain,
    ( e0 = e1
    | ~ spl3_35
    | ~ spl3_69
    | ~ spl3_107 ),
    inference(forward_demodulation,[],[f1500,f353]) ).

fof(f1500,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_69
    | ~ spl3_107 ),
    inference(backward_demodulation,[],[f712,f505]) ).

fof(f505,plain,
    ( e2 = op(e1,e1)
    | ~ spl3_69 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f1490,plain,
    ( spl3_3
    | ~ spl3_87
    | ~ spl3_92 ),
    inference(avatar_contradiction_clause,[],[f1489]) ).

fof(f1489,plain,
    ( $false
    | spl3_3
    | ~ spl3_87
    | ~ spl3_92 ),
    inference(subsumption_resolution,[],[f1488,f213]) ).

fof(f1488,plain,
    ( e0 = op(e0,e0)
    | ~ spl3_87
    | ~ spl3_92 ),
    inference(forward_demodulation,[],[f592,f616]) ).

fof(f1471,plain,
    ( ~ spl3_5
    | ~ spl3_35
    | ~ spl3_53 ),
    inference(avatar_contradiction_clause,[],[f1470]) ).

fof(f1470,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_35
    | ~ spl3_53 ),
    inference(subsumption_resolution,[],[f1469,f66]) ).

fof(f1469,plain,
    ( e0 = e1
    | ~ spl3_5
    | ~ spl3_35
    | ~ spl3_53 ),
    inference(forward_demodulation,[],[f1468,f353]) ).

fof(f1468,plain,
    ( e1 = op(e2,e2)
    | ~ spl3_5
    | ~ spl3_53 ),
    inference(forward_demodulation,[],[f434,f223]) ).

fof(f1467,plain,
    ( spl3_18
    | ~ spl3_76
    | ~ spl3_106 ),
    inference(avatar_contradiction_clause,[],[f1466]) ).

fof(f1466,plain,
    ( $false
    | spl3_18
    | ~ spl3_76
    | ~ spl3_106 ),
    inference(subsumption_resolution,[],[f1465,f277]) ).

fof(f1465,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_76
    | ~ spl3_106 ),
    inference(forward_demodulation,[],[f706,f539]) ).

fof(f1448,plain,
    ( spl3_71
    | ~ spl3_14
    | ~ spl3_103 ),
    inference(avatar_split_clause,[],[f1447,f686,f259,f513]) ).

fof(f1447,plain,
    ( e0 = op(e1,e1)
    | ~ spl3_14
    | ~ spl3_103 ),
    inference(forward_demodulation,[],[f688,f261]) ).

fof(f1420,plain,
    ( ~ spl3_5
    | ~ spl3_36
    | spl3_38 ),
    inference(avatar_split_clause,[],[f1419,f364,f356,f221]) ).

fof(f364,plain,
    ( spl3_38
  <=> e2 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).

fof(f1419,plain,
    ( e2 != op(e1,e3)
    | ~ spl3_36
    | spl3_38 ),
    inference(forward_demodulation,[],[f366,f357]) ).

fof(f366,plain,
    ( e2 != op(op(e3,e3),e3)
    | spl3_38 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f1399,plain,
    ( ~ spl3_66
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f1394,f356,f490]) ).

fof(f1394,plain,
    ( e1 != op(e1,e3)
    | ~ spl3_36 ),
    inference(backward_demodulation,[],[f92,f357]) ).

fof(f1392,plain,
    ( ~ spl3_2
    | ~ spl3_17
    | ~ spl3_88 ),
    inference(avatar_contradiction_clause,[],[f1391]) ).

fof(f1391,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_17
    | ~ spl3_88 ),
    inference(subsumption_resolution,[],[f1390,f68]) ).

fof(f1390,plain,
    ( e2 = e3
    | ~ spl3_2
    | ~ spl3_17
    | ~ spl3_88 ),
    inference(forward_demodulation,[],[f1389,f210]) ).

fof(f1389,plain,
    ( op(e0,e0) = e3
    | ~ spl3_17
    | ~ spl3_88 ),
    inference(forward_demodulation,[],[f597,f274]) ).

fof(f1388,plain,
    ( ~ spl3_10
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f1387,f259,f242]) ).

fof(f1387,plain,
    ( e1 != op(e2,e1)
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f106,f261]) ).

fof(f1384,plain,
    ( ~ spl3_71
    | ~ spl3_17 ),
    inference(avatar_split_clause,[],[f1336,f272,f513]) ).

fof(f1336,plain,
    ( e0 != op(e1,e1)
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f117,f274]) ).

fof(f117,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1380,plain,
    ( ~ spl3_41
    | ~ spl3_76 ),
    inference(avatar_split_clause,[],[f1379,f537,f378]) ).

fof(f1379,plain,
    ( e3 != op(e1,e2)
    | ~ spl3_76 ),
    inference(forward_demodulation,[],[f86,f539]) ).

fof(f1362,plain,
    ( ~ spl3_47
    | ~ spl3_2
    | spl3_70 ),
    inference(avatar_split_clause,[],[f1361,f508,f208,f405]) ).

fof(f1361,plain,
    ( e3 != op(e2,e0)
    | ~ spl3_2
    | spl3_70 ),
    inference(forward_demodulation,[],[f510,f210]) ).

fof(f1345,plain,
    ( ~ spl3_16
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f1344,f513,f267]) ).

fof(f1344,plain,
    ( e0 != op(e0,e1)
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f95,f515]) ).

fof(f1329,plain,
    ( spl3_36
    | ~ spl3_41
    | ~ spl3_52 ),
    inference(avatar_contradiction_clause,[],[f1328]) ).

fof(f1328,plain,
    ( $false
    | spl3_36
    | ~ spl3_41
    | ~ spl3_52 ),
    inference(subsumption_resolution,[],[f1327,f358]) ).

fof(f1327,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_41
    | ~ spl3_52 ),
    inference(forward_demodulation,[],[f429,f380]) ).

fof(f1312,plain,
    ( spl3_47
    | ~ spl3_2
    | ~ spl3_70 ),
    inference(avatar_split_clause,[],[f1311,f508,f208,f405]) ).

fof(f1311,plain,
    ( e3 = op(e2,e0)
    | ~ spl3_2
    | ~ spl3_70 ),
    inference(forward_demodulation,[],[f509,f210]) ).

fof(f509,plain,
    ( e3 = op(op(e0,e0),e0)
    | ~ spl3_70 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f1297,plain,
    ( ~ spl3_71
    | ~ spl3_96 ),
    inference(avatar_contradiction_clause,[],[f1296]) ).

fof(f1296,plain,
    ( $false
    | ~ spl3_71
    | ~ spl3_96 ),
    inference(subsumption_resolution,[],[f1295,f639]) ).

fof(f1295,plain,
    ( e0 != op(e1,e0)
    | ~ spl3_71 ),
    inference(forward_demodulation,[],[f107,f515]) ).

fof(f107,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1287,plain,
    ( ~ spl3_69
    | ~ spl3_71 ),
    inference(avatar_contradiction_clause,[],[f1286]) ).

fof(f1286,plain,
    ( $false
    | ~ spl3_69
    | ~ spl3_71 ),
    inference(subsumption_resolution,[],[f1285,f67]) ).

fof(f1285,plain,
    ( e0 = e2
    | ~ spl3_69
    | ~ spl3_71 ),
    inference(backward_demodulation,[],[f505,f515]) ).

fof(f1264,plain,
    ( ~ spl3_91
    | ~ spl3_96 ),
    inference(avatar_split_clause,[],[f1263,f637,f610]) ).

fof(f1263,plain,
    ( e0 != op(e1,e3)
    | ~ spl3_96 ),
    inference(forward_demodulation,[],[f109,f639]) ).

fof(f1229,plain,
    ( ~ spl3_57
    | ~ spl3_83 ),
    inference(avatar_contradiction_clause,[],[f1228]) ).

fof(f1228,plain,
    ( $false
    | ~ spl3_57
    | ~ spl3_83 ),
    inference(subsumption_resolution,[],[f1227,f65]) ).

fof(f1227,plain,
    ( e1 = e3
    | ~ spl3_57
    | ~ spl3_83 ),
    inference(backward_demodulation,[],[f452,f572]) ).

fof(f1225,plain,
    ( ~ spl3_16
    | ~ spl3_17 ),
    inference(avatar_split_clause,[],[f1084,f272,f267]) ).

fof(f1084,plain,
    ( e0 != op(e0,e1)
    | ~ spl3_17 ),
    inference(forward_demodulation,[],[f113,f274]) ).

fof(f1223,plain,
    ( ~ spl3_7
    | ~ spl3_27
    | ~ spl3_78 ),
    inference(avatar_contradiction_clause,[],[f1222]) ).

fof(f1222,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_27
    | ~ spl3_78 ),
    inference(subsumption_resolution,[],[f1221,f68]) ).

fof(f1221,plain,
    ( e2 = e3
    | ~ spl3_7
    | ~ spl3_27
    | ~ spl3_78 ),
    inference(forward_demodulation,[],[f1106,f231]) ).

fof(f1106,plain,
    ( e3 = op(e3,e3)
    | ~ spl3_27
    | ~ spl3_78 ),
    inference(backward_demodulation,[],[f318,f549]) ).

fof(f1218,plain,
    ( ~ spl3_12
    | ~ spl3_35 ),
    inference(avatar_contradiction_clause,[],[f1217]) ).

fof(f1217,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_35 ),
    inference(subsumption_resolution,[],[f1216,f66]) ).

fof(f1216,plain,
    ( e0 = e1
    | ~ spl3_12
    | ~ spl3_35 ),
    inference(forward_demodulation,[],[f252,f353]) ).

fof(f1210,plain,
    ( ~ spl3_34
    | ~ spl3_35 ),
    inference(avatar_split_clause,[],[f1209,f351,f347]) ).

fof(f1209,plain,
    ( e0 != op(e0,e2)
    | ~ spl3_35 ),
    inference(forward_demodulation,[],[f124,f353]) ).

fof(f124,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1170,plain,
    ( ~ spl3_66
    | ~ spl3_91 ),
    inference(avatar_contradiction_clause,[],[f1169]) ).

fof(f1169,plain,
    ( $false
    | ~ spl3_66
    | ~ spl3_91 ),
    inference(subsumption_resolution,[],[f1168,f66]) ).

fof(f1168,plain,
    ( e0 = e1
    | ~ spl3_66
    | ~ spl3_91 ),
    inference(forward_demodulation,[],[f492,f612]) ).

fof(f1135,plain,
    ( ~ spl3_15
    | ~ spl3_2
    | ~ spl3_11
    | spl3_74 ),
    inference(avatar_split_clause,[],[f1134,f527,f246,f208,f263]) ).

fof(f1134,plain,
    ( e3 != op(e0,e1)
    | ~ spl3_2
    | ~ spl3_11
    | spl3_74 ),
    inference(backward_demodulation,[],[f1130,f248]) ).

fof(f1130,plain,
    ( e3 != op(e0,op(e2,e0))
    | ~ spl3_2
    | spl3_74 ),
    inference(forward_demodulation,[],[f529,f210]) ).

fof(f1128,plain,
    ( spl3_35
    | ~ spl3_2
    | ~ spl3_45 ),
    inference(avatar_split_clause,[],[f1110,f396,f208,f351]) ).

fof(f1110,plain,
    ( e0 = op(e2,e2)
    | ~ spl3_2
    | ~ spl3_45 ),
    inference(forward_demodulation,[],[f398,f210]) ).

fof(f1123,plain,
    ( ~ spl3_85
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f1122,f356,f580]) ).

fof(f1122,plain,
    ( e1 != op(e3,e0)
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f91,f357]) ).

fof(f1109,plain,
    ( ~ spl3_27
    | ~ spl3_36
    | ~ spl3_78 ),
    inference(avatar_contradiction_clause,[],[f1108]) ).

fof(f1108,plain,
    ( $false
    | ~ spl3_27
    | ~ spl3_36
    | ~ spl3_78 ),
    inference(subsumption_resolution,[],[f1107,f65]) ).

fof(f1107,plain,
    ( e1 = e3
    | ~ spl3_27
    | ~ spl3_36
    | ~ spl3_78 ),
    inference(forward_demodulation,[],[f1106,f357]) ).

fof(f1099,plain,
    ( ~ spl3_63
    | ~ spl3_69 ),
    inference(avatar_contradiction_clause,[],[f1098]) ).

fof(f1098,plain,
    ( $false
    | ~ spl3_63
    | ~ spl3_69 ),
    inference(subsumption_resolution,[],[f1097,f69]) ).

fof(f1097,plain,
    ( e1 = e2
    | ~ spl3_63
    | ~ spl3_69 ),
    inference(forward_demodulation,[],[f505,f478]) ).

fof(f1093,plain,
    ( ~ spl3_85
    | ~ spl3_60 ),
    inference(avatar_split_clause,[],[f1092,f463,f580]) ).

fof(f1092,plain,
    ( e1 != op(e3,e0)
    | ~ spl3_60 ),
    inference(forward_demodulation,[],[f111,f465]) ).

fof(f1083,plain,
    ( ~ spl3_1
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f1082,f259,f204]) ).

fof(f1082,plain,
    ( op(e0,e0) != e1
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f97,f261]) ).

fof(f1067,plain,
    ( ~ spl3_24
    | ~ spl3_63 ),
    inference(avatar_contradiction_clause,[],[f1066]) ).

fof(f1066,plain,
    ( $false
    | ~ spl3_24
    | ~ spl3_63 ),
    inference(subsumption_resolution,[],[f1065,f65]) ).

fof(f1065,plain,
    ( e1 = e3
    | ~ spl3_24
    | ~ spl3_63 ),
    inference(backward_demodulation,[],[f303,f478]) ).

fof(f1059,plain,
    ( ~ spl3_84
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f1058,f208,f576]) ).

fof(f1058,plain,
    ( e2 != op(e3,e0)
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f79,f210]) ).

fof(f1050,plain,
    ( ~ spl3_60
    | ~ spl3_55
    | spl3_93 ),
    inference(avatar_split_clause,[],[f1049,f620,f441,f463]) ).

fof(f620,plain,
    ( spl3_93
  <=> e1 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_93])]) ).

fof(f1049,plain,
    ( e1 != op(e3,e2)
    | ~ spl3_55
    | spl3_93 ),
    inference(forward_demodulation,[],[f622,f443]) ).

fof(f622,plain,
    ( e1 != op(op(e2,e2),e2)
    | spl3_93 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f1048,plain,
    ( ~ spl3_48
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f1047,f208,f409]) ).

fof(f1047,plain,
    ( e2 != op(e2,e0)
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f125,f210]) ).

fof(f1035,plain,
    ( ~ spl3_9
    | ~ spl3_36 ),
    inference(avatar_split_clause,[],[f1034,f356,f238]) ).

fof(f1034,plain,
    ( e1 != op(e2,e3)
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f85,f357]) ).

fof(f85,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f984,plain,
    ( ~ spl3_7
    | ~ spl3_36 ),
    inference(avatar_contradiction_clause,[],[f983]) ).

fof(f983,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_36 ),
    inference(subsumption_resolution,[],[f982,f69]) ).

fof(f982,plain,
    ( e1 = e2
    | ~ spl3_7
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f231,f357]) ).

fof(f975,plain,
    ( ~ spl3_33
    | ~ spl3_50 ),
    inference(avatar_contradiction_clause,[],[f974]) ).

fof(f974,plain,
    ( $false
    | ~ spl3_33
    | ~ spl3_50 ),
    inference(subsumption_resolution,[],[f973,f67]) ).

fof(f973,plain,
    ( e0 = e2
    | ~ spl3_33
    | ~ spl3_50 ),
    inference(forward_demodulation,[],[f420,f345]) ).

fof(f962,plain,
    ( ~ spl3_12
    | ~ spl3_33
    | spl3_80 ),
    inference(avatar_contradiction_clause,[],[f961]) ).

fof(f961,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_33
    | spl3_80 ),
    inference(subsumption_resolution,[],[f960,f345]) ).

fof(f960,plain,
    ( e0 != op(e1,e2)
    | ~ spl3_12
    | spl3_80 ),
    inference(forward_demodulation,[],[f558,f252]) ).

fof(f558,plain,
    ( e0 != op(op(e2,e2),e2)
    | spl3_80 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f958,plain,
    ( ~ spl3_12
    | ~ spl3_55 ),
    inference(avatar_contradiction_clause,[],[f957]) ).

fof(f957,plain,
    ( $false
    | ~ spl3_12
    | ~ spl3_55 ),
    inference(subsumption_resolution,[],[f956,f65]) ).

fof(f956,plain,
    ( e1 = e3
    | ~ spl3_12
    | ~ spl3_55 ),
    inference(backward_demodulation,[],[f443,f252]) ).

fof(f950,plain,
    ( ~ spl3_46
    | ~ spl3_65 ),
    inference(avatar_split_clause,[],[f947,f485,f401]) ).

fof(f947,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_65 ),
    inference(backward_demodulation,[],[f116,f487]) ).

fof(f944,plain,
    ( ~ spl3_3
    | ~ spl3_20 ),
    inference(avatar_split_clause,[],[f943,f284,f212]) ).

fof(f943,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_20 ),
    inference(forward_demodulation,[],[f79,f286]) ).

fof(f938,plain,
    ( spl3_63
    | ~ spl3_39
    | ~ spl3_67 ),
    inference(avatar_split_clause,[],[f936,f494,f369,f476]) ).

fof(f936,plain,
    ( e1 = op(e1,e1)
    | ~ spl3_39
    | ~ spl3_67 ),
    inference(backward_demodulation,[],[f371,f496]) ).

fof(f932,plain,
    ( ~ spl3_3
    | ~ spl3_34 ),
    inference(avatar_split_clause,[],[f931,f347,f212]) ).

fof(f931,plain,
    ( e0 != op(e0,e0)
    | ~ spl3_34 ),
    inference(forward_demodulation,[],[f93,f349]) ).

fof(f924,plain,
    ( ~ spl3_35
    | ~ spl3_33 ),
    inference(avatar_split_clause,[],[f923,f343,f351]) ).

fof(f923,plain,
    ( e0 != op(e2,e2)
    | ~ spl3_33 ),
    inference(forward_demodulation,[],[f121,f345]) ).

fof(f922,plain,
    ( ~ spl3_36
    | ~ spl3_58 ),
    inference(avatar_contradiction_clause,[],[f921]) ).

fof(f921,plain,
    ( $false
    | ~ spl3_36
    | ~ spl3_58 ),
    inference(subsumption_resolution,[],[f920,f65]) ).

fof(f920,plain,
    ( e1 = e3
    | ~ spl3_36
    | ~ spl3_58 ),
    inference(backward_demodulation,[],[f456,f357]) ).

fof(f915,plain,
    ( ~ spl3_98
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f914,f259,f651]) ).

fof(f914,plain,
    ( e1 != op(e0,e2)
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f90,f261]) ).

fof(f913,plain,
    ( ~ spl3_13
    | ~ spl3_14 ),
    inference(avatar_contradiction_clause,[],[f912]) ).

fof(f912,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_14 ),
    inference(subsumption_resolution,[],[f911,f69]) ).

fof(f911,plain,
    ( e1 = e2
    | ~ spl3_13
    | ~ spl3_14 ),
    inference(backward_demodulation,[],[f257,f261]) ).

fof(f908,plain,
    ( ~ spl3_42
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f907,f216,f382]) ).

fof(f907,plain,
    ( e3 != op(e1,e0)
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f118,f218]) ).

fof(f904,plain,
    ( ~ spl3_4
    | spl3_18
    | ~ spl3_45 ),
    inference(avatar_contradiction_clause,[],[f903]) ).

fof(f903,plain,
    ( $false
    | ~ spl3_4
    | spl3_18
    | ~ spl3_45 ),
    inference(subsumption_resolution,[],[f902,f277]) ).

fof(f902,plain,
    ( e0 = op(e3,e3)
    | ~ spl3_4
    | ~ spl3_45 ),
    inference(forward_demodulation,[],[f398,f218]) ).

fof(f879,plain,
    ( ~ spl3_18
    | ~ spl3_36 ),
    inference(avatar_contradiction_clause,[],[f878]) ).

fof(f878,plain,
    ( $false
    | ~ spl3_18
    | ~ spl3_36 ),
    inference(subsumption_resolution,[],[f877,f66]) ).

fof(f877,plain,
    ( e0 = e1
    | ~ spl3_18
    | ~ spl3_36 ),
    inference(forward_demodulation,[],[f357,f278]) ).

fof(f874,plain,
    ( ~ spl3_98
    | ~ spl3_35
    | spl3_93 ),
    inference(avatar_split_clause,[],[f873,f620,f351,f651]) ).

fof(f873,plain,
    ( e1 != op(e0,e2)
    | ~ spl3_35
    | spl3_93 ),
    inference(forward_demodulation,[],[f622,f353]) ).

fof(f869,plain,
    ( ~ spl3_2
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f868]) ).

fof(f868,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f867,f68]) ).

fof(f867,plain,
    ( e2 = e3
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f218,f210]) ).

fof(f859,plain,
    ( ~ spl3_11
    | ~ spl3_2
    | spl3_73 ),
    inference(avatar_split_clause,[],[f858,f523,f208,f246]) ).

fof(f858,plain,
    ( e1 != op(e2,e0)
    | ~ spl3_2
    | spl3_73 ),
    inference(forward_demodulation,[],[f525,f210]) ).

fof(f854,plain,
    ( ~ spl3_46
    | ~ spl3_20 ),
    inference(avatar_split_clause,[],[f848,f284,f401]) ).

fof(f848,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_20 ),
    inference(backward_demodulation,[],[f103,f286]) ).

fof(f853,plain,
    ( ~ spl3_2
    | ~ spl3_20
    | ~ spl3_27 ),
    inference(avatar_contradiction_clause,[],[f852]) ).

fof(f852,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_20
    | ~ spl3_27 ),
    inference(subsumption_resolution,[],[f851,f68]) ).

fof(f851,plain,
    ( e2 = e3
    | ~ spl3_2
    | ~ spl3_20
    | ~ spl3_27 ),
    inference(forward_demodulation,[],[f847,f210]) ).

fof(f847,plain,
    ( op(e0,e0) = e3
    | ~ spl3_20
    | ~ spl3_27 ),
    inference(backward_demodulation,[],[f318,f286]) ).

fof(f846,plain,
    ( ~ spl3_5
    | ~ spl3_40 ),
    inference(avatar_contradiction_clause,[],[f845]) ).

fof(f845,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_40 ),
    inference(subsumption_resolution,[],[f844,f68]) ).

fof(f844,plain,
    ( e2 = e3
    | ~ spl3_5
    | ~ spl3_40 ),
    inference(forward_demodulation,[],[f376,f223]) ).

fof(f839,plain,
    ( ~ spl3_46
    | ~ spl3_35 ),
    inference(avatar_split_clause,[],[f834,f351,f401]) ).

fof(f834,plain,
    ( e0 != op(e2,e0)
    | ~ spl3_35 ),
    inference(backward_demodulation,[],[f102,f353]) ).

fof(f830,plain,
    ( ~ spl3_13
    | ~ spl3_16 ),
    inference(avatar_contradiction_clause,[],[f829]) ).

fof(f829,plain,
    ( $false
    | ~ spl3_13
    | ~ spl3_16 ),
    inference(subsumption_resolution,[],[f828,f67]) ).

fof(f828,plain,
    ( e0 = e2
    | ~ spl3_13
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f257,f269]) ).

fof(f824,plain,
    ( ~ spl3_61
    | ~ spl3_30 ),
    inference(avatar_split_clause,[],[f823,f329,f467]) ).

fof(f823,plain,
    ( e3 != op(e3,e2)
    | ~ spl3_30 ),
    inference(backward_demodulation,[],[f122,f331]) ).

fof(f331,plain,
    ( e3 = op(e3,e1)
    | ~ spl3_30 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f815,plain,
    ( ~ spl3_33
    | ~ spl3_49 ),
    inference(avatar_contradiction_clause,[],[f814]) ).

fof(f814,plain,
    ( $false
    | ~ spl3_33
    | ~ spl3_49 ),
    inference(subsumption_resolution,[],[f813,f66]) ).

fof(f813,plain,
    ( e0 = e1
    | ~ spl3_33
    | ~ spl3_49 ),
    inference(forward_demodulation,[],[f416,f345]) ).

fof(f801,plain,
    ( ~ spl3_33
    | ~ spl3_41 ),
    inference(avatar_contradiction_clause,[],[f800]) ).

fof(f800,plain,
    ( $false
    | ~ spl3_33
    | ~ spl3_41 ),
    inference(subsumption_resolution,[],[f799,f64]) ).

fof(f799,plain,
    ( e0 = e3
    | ~ spl3_33
    | ~ spl3_41 ),
    inference(backward_demodulation,[],[f380,f345]) ).

fof(f793,plain,
    ( ~ spl3_55
    | ~ spl3_29 ),
    inference(avatar_split_clause,[],[f787,f325,f441]) ).

fof(f787,plain,
    ( e3 != op(e2,e2)
    | ~ spl3_29 ),
    inference(backward_demodulation,[],[f87,f327]) ).

fof(f779,plain,
    ( ~ spl3_69
    | ~ spl3_13 ),
    inference(avatar_split_clause,[],[f775,f255,f503]) ).

fof(f775,plain,
    ( e2 != op(e1,e1)
    | ~ spl3_13 ),
    inference(backward_demodulation,[],[f95,f257]) ).

fof(f778,plain,
    ( ~ spl3_2
    | ~ spl3_13 ),
    inference(avatar_split_clause,[],[f774,f255,f208]) ).

fof(f774,plain,
    ( op(e0,e0) != e2
    | ~ spl3_13 ),
    inference(backward_demodulation,[],[f97,f257]) ).

fof(f770,plain,
    ( ~ spl3_7
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f769]) ).

fof(f769,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f768,f67]) ).

fof(f768,plain,
    ( e0 = e2
    | ~ spl3_7
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f231,f278]) ).

fof(f766,plain,
    ( ~ spl3_69
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f762,f221,f503]) ).

fof(f762,plain,
    ( e2 != op(e1,e1)
    | ~ spl3_5 ),
    inference(backward_demodulation,[],[f98,f223]) ).

fof(f757,plain,
    ( ~ spl3_2
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f748,f289,f208]) ).

fof(f748,plain,
    ( op(e0,e0) != e2
    | ~ spl3_21 ),
    inference(backward_demodulation,[],[f93,f291]) ).

fof(f747,plain,
    ( ~ spl3_18
    | ~ spl3_39
    | ~ spl3_42 ),
    inference(avatar_contradiction_clause,[],[f746]) ).

fof(f746,plain,
    ( $false
    | ~ spl3_18
    | ~ spl3_39
    | ~ spl3_42 ),
    inference(subsumption_resolution,[],[f745,f66]) ).

fof(f745,plain,
    ( e0 = e1
    | ~ spl3_18
    | ~ spl3_39
    | ~ spl3_42 ),
    inference(forward_demodulation,[],[f744,f278]) ).

fof(f744,plain,
    ( e1 = op(e3,e3)
    | ~ spl3_39
    | ~ spl3_42 ),
    inference(forward_demodulation,[],[f371,f384]) ).

fof(f743,plain,
    ( ~ spl3_40
    | ~ spl3_42 ),
    inference(avatar_split_clause,[],[f735,f382,f374]) ).

fof(f735,plain,
    ( e3 != op(e1,e3)
    | ~ spl3_42 ),
    inference(backward_demodulation,[],[f109,f384]) ).

fof(f731,plain,
    ( ~ spl3_19
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f720,f276,f280]) ).

fof(f720,plain,
    ( e0 != op(e3,e2)
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f83,f278]) ).

fof(f730,plain,
    ( ~ spl3_92
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f719,f276,f614]) ).

fof(f719,plain,
    ( e0 != op(e0,e3)
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f81,f278]) ).

fof(f729,plain,
    ( ~ spl3_91
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f723,f276,f610]) ).

fof(f723,plain,
    ( e0 != op(e1,e3)
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f92,f278]) ).

fof(f728,plain,
    ( ~ spl3_65
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f721,f276,f485]) ).

fof(f721,plain,
    ( e0 != op(e2,e3)
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f85,f278]) ).

fof(f727,plain,
    ( ~ spl3_20
    | ~ spl3_18 ),
    inference(avatar_split_clause,[],[f722,f276,f284]) ).

fof(f722,plain,
    ( e0 != op(e3,e0)
    | ~ spl3_18 ),
    inference(backward_demodulation,[],[f91,f278]) ).

fof(f718,plain,
    ( spl3_7
    | spl3_95
    | spl3_84
    | spl3_59 ),
    inference(avatar_split_clause,[],[f186,f459,f576,f632,f229]) ).

fof(f186,plain,
    ( e2 = op(e3,e2)
    | e2 = op(e3,e0)
    | e2 = op(e3,e1)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f715,plain,
    ( spl3_36
    | spl3_60
    | spl3_62
    | spl3_85 ),
    inference(avatar_split_clause,[],[f188,f580,f472,f463,f356]) ).

fof(f188,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e3,e1)
    | e1 = op(e3,e2)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f714,plain,
    ( ~ spl3_4
    | ~ spl3_73
    | ~ spl3_104 ),
    inference(avatar_split_clause,[],[f71,f694,f523,f216]) ).

fof(f71,plain,
    ( e2 != op(e0,op(op(e0,e0),e0))
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( e2 != op(e0,op(op(e0,e0),e0))
    | op(e0,e0) != e3
    | e1 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f13]) ).

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

fof(f713,plain,
    ( spl3_28
    | spl3_54
    | spl3_107
    | spl3_51 ),
    inference(avatar_split_clause,[],[f160,f423,f710,f436,f320]) ).

fof(f320,plain,
    ( spl3_28
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).

fof(f436,plain,
    ( spl3_54
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).

fof(f423,plain,
    ( spl3_51
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).

fof(f160,plain,
    ( sP0
    | e1 = op(op(e1,e1),op(e1,e1))
    | sP1
    | sP2 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ( e0 = op(op(e0,e1),op(e0,e1))
      & e2 = op(op(e2,e1),op(e2,e1))
      & e1 = op(op(e1,e1),op(e1,e1))
      & e3 = op(op(e3,e1),op(e3,e1)) )
    | sP2
    | sP1
    | sP0 ),
    inference(definition_folding,[],[f5,f56,f55,f54]) ).

fof(f54,plain,
    ( ( e0 = op(op(e0,e2),op(e0,e2))
      & e1 = op(op(e1,e2),op(e1,e2))
      & e3 = op(op(e3,e2),op(e3,e2))
      & e2 = op(op(e2,e2),op(e2,e2)) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f55,plain,
    ( ( e2 = op(op(e2,e3),op(e2,e3))
      & e3 = op(op(e3,e3),op(e3,e3))
      & e0 = op(op(e0,e3),op(e0,e3))
      & e1 = op(op(e1,e3),op(e1,e3)) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f56,plain,
    ( ( e0 = op(op(e0,e0),op(e0,e0))
      & e3 = op(op(e3,e0),op(e3,e0))
      & e1 = op(op(e1,e0),op(e1,e0))
      & e2 = op(op(e2,e0),op(e2,e0)) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

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

fof(f708,plain,
    ( ~ spl3_74
    | ~ spl3_1
    | ~ spl3_31 ),
    inference(avatar_split_clause,[],[f145,f334,f204,f527]) ).

fof(f145,plain,
    ( e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e3 != op(e0,op(op(e0,e0),e0)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( e3 != op(e0,op(op(e0,e0),e0))
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1 ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ~ ( e3 = op(e0,op(op(e0,e0),e0))
      & op(e0,e0) = e1
      & e2 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

fof(f707,plain,
    ( ~ spl3_51
    | spl3_106 ),
    inference(avatar_split_clause,[],[f158,f704,f423]) ).

fof(f158,plain,
    ( e0 = op(op(e0,e2),op(e0,e2))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e0 = op(op(e0,e2),op(e0,e2))
      & e1 = op(op(e1,e2),op(e1,e2))
      & e3 = op(op(e3,e2),op(e3,e2))
      & e2 = op(op(e2,e2),op(e2,e2)) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f702,plain,
    ( spl3_105
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f154,f436,f699]) ).

fof(f154,plain,
    ( ~ sP1
    | e2 = op(op(e2,e3),op(e2,e3)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( e2 = op(op(e2,e3),op(e2,e3))
      & e3 = op(op(e3,e3),op(e3,e3))
      & e0 = op(op(e0,e3),op(e0,e3))
      & e1 = op(op(e1,e3),op(e1,e3)) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f697,plain,
    ( ~ spl3_70
    | ~ spl3_1
    | ~ spl3_104 ),
    inference(avatar_split_clause,[],[f199,f694,f204,f508]) ).

fof(f199,plain,
    ( e2 != op(e0,op(op(e0,e0),e0))
    | op(e0,e0) != e1
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( op(e0,e0) != e1
    | e2 != op(e0,op(op(e0,e0),e0))
    | e3 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f24]) ).

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

fof(f692,plain,
    ( ~ spl3_23
    | ~ spl3_101
    | ~ spl3_71 ),
    inference(avatar_split_clause,[],[f72,f513,f672,f298]) ).

fof(f72,plain,
    ( e0 != op(e1,e1)
    | e3 != op(e1,op(op(e1,e1),e1))
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( e2 != op(op(e1,e1),e1)
    | e0 != op(e1,e1)
    | e3 != op(e1,op(op(e1,e1),e1)) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f691,plain,
    ( spl3_57
    | spl3_15
    | spl3_4
    | spl3_76 ),
    inference(avatar_split_clause,[],[f181,f537,f216,f263,f450]) ).

fof(f181,plain,
    ( e3 = op(e0,e2)
    | op(e0,e0) = e3
    | e3 = op(e0,e1)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f690,plain,
    ( spl3_98
    | spl3_76
    | spl3_21
    | spl3_34 ),
    inference(avatar_split_clause,[],[f130,f347,f289,f537,f651]) ).

fof(f130,plain,
    ( e0 = op(e0,e2)
    | e2 = op(e0,e2)
    | e3 = op(e0,e2)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f689,plain,
    ( spl3_51
    | spl3_103
    | spl3_28
    | spl3_54 ),
    inference(avatar_split_clause,[],[f162,f436,f320,f686,f423]) ).

fof(f162,plain,
    ( sP1
    | sP2
    | e0 = op(op(e0,e1),op(e0,e1))
    | sP0 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f684,plain,
    ( spl3_91
    | spl3_96
    | spl3_33
    | spl3_71 ),
    inference(avatar_split_clause,[],[f172,f513,f343,f637,f610]) ).

fof(f172,plain,
    ( e0 = op(e1,e1)
    | e0 = op(e1,e2)
    | e0 = op(e1,e0)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f683,plain,
    ( spl3_3
    | spl3_34
    | spl3_16
    | spl3_92 ),
    inference(avatar_split_clause,[],[f169,f614,f267,f347,f212]) ).

fof(f169,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e0,e1)
    | e0 = op(e0,e2)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f682,plain,
    ( spl3_102
    | ~ spl3_51 ),
    inference(avatar_split_clause,[],[f155,f423,f679]) ).

fof(f155,plain,
    ( ~ sP0
    | e2 = op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f677,plain,
    ( spl3_83
    | spl3_92
    | spl3_57
    | spl3_6 ),
    inference(avatar_split_clause,[],[f140,f225,f450,f614,f570]) ).

fof(f140,plain,
    ( e2 = op(e0,e3)
    | e3 = op(e0,e3)
    | e0 = op(e0,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f676,plain,
    ( spl3_40
    | spl3_5
    | spl3_91
    | spl3_66 ),
    inference(avatar_split_clause,[],[f128,f490,f610,f221,f374]) ).

fof(f128,plain,
    ( e1 = op(e1,e3)
    | e0 = op(e1,e3)
    | e2 = op(e1,e3)
    | e3 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f670,plain,
    ( spl3_62
    | spl3_30
    | spl3_17
    | spl3_95 ),
    inference(avatar_split_clause,[],[f138,f632,f272,f329,f472]) ).

fof(f138,plain,
    ( e2 = op(e3,e1)
    | e0 = op(e3,e1)
    | e3 = op(e3,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f669,plain,
    ( spl3_7
    | spl3_36
    | spl3_58
    | spl3_18 ),
    inference(avatar_split_clause,[],[f131,f276,f454,f356,f229]) ).

fof(f131,plain,
    ( e0 = op(e3,e3)
    | e3 = op(e3,e3)
    | e1 = op(e3,e3)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f667,plain,
    ( spl3_29
    | spl3_90
    | spl3_10
    | spl3_64 ),
    inference(avatar_split_clause,[],[f126,f481,f242,f605,f325]) ).

fof(f126,plain,
    ( e0 = op(e2,e1)
    | e1 = op(e2,e1)
    | e2 = op(e2,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f666,plain,
    ( spl3_100
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f153,f436,f663]) ).

fof(f153,plain,
    ( ~ sP1
    | e3 = op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f660,plain,
    ( spl3_3
    | spl3_20
    | spl3_46
    | spl3_96 ),
    inference(avatar_split_clause,[],[f194,f637,f401,f284,f212]) ).

fof(f194,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e2,e0)
    | e0 = op(e3,e0)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f659,plain,
    ( ~ spl3_28
    | spl3_99 ),
    inference(avatar_split_clause,[],[f147,f656,f320]) ).

fof(f147,plain,
    ( e2 = op(op(e2,e0),op(e2,e0))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( e0 = op(op(e0,e0),op(e0,e0))
      & e3 = op(op(e3,e0),op(e3,e0))
      & e1 = op(op(e1,e0),op(e1,e0))
      & e2 = op(op(e2,e0),op(e2,e0)) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f654,plain,
    ( spl3_12
    | spl3_60
    | spl3_98
    | spl3_49 ),
    inference(avatar_split_clause,[],[f168,f414,f651,f463,f250]) ).

fof(f168,plain,
    ( e1 = op(e1,e2)
    | e1 = op(e0,e2)
    | e1 = op(e3,e2)
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f649,plain,
    ( spl3_48
    | spl3_68
    | spl3_84
    | spl3_2 ),
    inference(avatar_split_clause,[],[f174,f208,f576,f499,f409]) ).

fof(f174,plain,
    ( op(e0,e0) = e2
    | e2 = op(e3,e0)
    | e2 = op(e1,e0)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f646,plain,
    ( ~ spl3_93
    | ~ spl3_97
    | ~ spl3_55 ),
    inference(avatar_split_clause,[],[f163,f441,f643,f620]) ).

fof(f163,plain,
    ( e3 != op(e2,e2)
    | e0 != op(e2,op(op(e2,e2),e2))
    | e1 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( e3 != op(e2,e2)
    | e0 != op(e2,op(op(e2,e2),e2))
    | e1 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( e3 = op(e2,e2)
      & e0 = op(e2,op(op(e2,e2),e2))
      & e1 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f641,plain,
    ( spl3_1
    | spl3_11
    | spl3_85
    | spl3_67 ),
    inference(avatar_split_clause,[],[f192,f494,f580,f246,f204]) ).

fof(f192,plain,
    ( e1 = op(e1,e0)
    | e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f640,plain,
    ( spl3_67
    | spl3_96
    | spl3_42
    | spl3_68 ),
    inference(avatar_split_clause,[],[f134,f499,f382,f637,f494]) ).

fof(f134,plain,
    ( e2 = op(e1,e0)
    | e3 = op(e1,e0)
    | e0 = op(e1,e0)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f635,plain,
    ( spl3_90
    | spl3_95
    | spl3_13
    | spl3_69 ),
    inference(avatar_split_clause,[],[f187,f503,f255,f632,f605]) ).

fof(f187,plain,
    ( e2 = op(e1,e1)
    | e2 = op(e0,e1)
    | e2 = op(e3,e1)
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f630,plain,
    ( spl3_71
    | spl3_64
    | spl3_16
    | spl3_17 ),
    inference(avatar_split_clause,[],[f184,f272,f267,f481,f513]) ).

fof(f184,plain,
    ( e0 = op(e3,e1)
    | e0 = op(e0,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f629,plain,
    ( spl3_50
    | spl3_21
    | spl3_89
    | spl3_59 ),
    inference(avatar_split_clause,[],[f182,f459,f600,f289,f418]) ).

fof(f182,plain,
    ( e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e0,e2)
    | e2 = op(e1,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f623,plain,
    ( ~ spl3_35
    | ~ spl3_79
    | ~ spl3_93 ),
    inference(avatar_split_clause,[],[f201,f620,f552,f351]) ).

fof(f201,plain,
    ( e1 != op(op(e2,e2),e2)
    | e3 != op(e2,op(op(e2,e2),e2))
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( e3 != op(e2,op(op(e2,e2),e2))
    | e0 != op(e2,e2)
    | e1 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ~ ( e1 = op(op(e2,e2),e2)
      & e0 = op(e2,e2)
      & e3 = op(e2,op(op(e2,e2),e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

fof(f618,plain,
    ( spl3_65
    | spl3_9
    | spl3_8
    | spl3_56 ),
    inference(avatar_split_clause,[],[f132,f445,f233,f238,f485]) ).

fof(f132,plain,
    ( e3 = op(e2,e3)
    | e2 = op(e2,e3)
    | e1 = op(e2,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f617,plain,
    ( spl3_18
    | spl3_91
    | spl3_65
    | spl3_92 ),
    inference(avatar_split_clause,[],[f191,f614,f485,f610,f276]) ).

fof(f191,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f603,plain,
    ( spl3_55
    | spl3_12
    | spl3_89
    | spl3_35 ),
    inference(avatar_split_clause,[],[f136,f351,f600,f250,f441]) ).

fof(f136,plain,
    ( e0 = op(e2,e2)
    | e2 = op(e2,e2)
    | e1 = op(e2,e2)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f598,plain,
    ( spl3_51
    | spl3_88
    | spl3_28
    | spl3_54 ),
    inference(avatar_split_clause,[],[f159,f436,f320,f595,f423]) ).

fof(f159,plain,
    ( sP1
    | sP2
    | e3 = op(op(e3,e1),op(e3,e1))
    | sP0 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f593,plain,
    ( ~ spl3_54
    | spl3_87 ),
    inference(avatar_split_clause,[],[f152,f590,f436]) ).

fof(f152,plain,
    ( e0 = op(op(e0,e3),op(e0,e3))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f588,plain,
    ( ~ spl3_44
    | ~ spl3_71
    | ~ spl3_86 ),
    inference(avatar_split_clause,[],[f75,f585,f513,f391]) ).

fof(f75,plain,
    ( e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1)
    | e2 != op(e1,op(op(e1,e1),e1)) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e2 != op(e1,op(op(e1,e1),e1))
    | e3 != op(op(e1,e1),e1)
    | e0 != op(e1,e1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ~ ( e0 = op(e1,e1)
      & e2 = op(e1,op(op(e1,e1),e1))
      & e3 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f583,plain,
    ( spl3_84
    | spl3_78
    | spl3_20
    | spl3_85 ),
    inference(avatar_split_clause,[],[f139,f580,f284,f547,f576]) ).

fof(f139,plain,
    ( e1 = op(e3,e0)
    | e0 = op(e3,e0)
    | e3 = op(e3,e0)
    | e2 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f573,plain,
    ( spl3_9
    | spl3_83
    | spl3_36
    | spl3_66 ),
    inference(avatar_split_clause,[],[f171,f490,f356,f570,f238]) ).

fof(f171,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e3,e3)
    | e1 = op(e0,e3)
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f559,plain,
    ( ~ spl3_12
    | ~ spl3_79
    | ~ spl3_80 ),
    inference(avatar_split_clause,[],[f77,f556,f552,f250]) ).

fof(f77,plain,
    ( e0 != op(op(e2,e2),e2)
    | e3 != op(e2,op(op(e2,e2),e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( e0 != op(op(e2,e2),e2)
    | e1 != op(e2,e2)
    | e3 != op(e2,op(op(e2,e2),e2)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ~ ( e3 = op(e2,op(op(e2,e2),e2))
      & e0 = op(op(e2,e2),e2)
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

fof(f550,plain,
    ( spl3_78
    | spl3_4
    | spl3_42
    | spl3_47 ),
    inference(avatar_split_clause,[],[f165,f405,f382,f216,f547]) ).

fof(f165,plain,
    ( e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f545,plain,
    ( spl3_77
    | ~ spl3_51 ),
    inference(avatar_split_clause,[],[f156,f423,f542]) ).

fof(f156,plain,
    ( ~ sP0
    | e3 = op(op(e3,e2),op(e3,e2)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f535,plain,
    ( ~ spl3_36
    | ~ spl3_75
    | ~ spl3_25 ),
    inference(avatar_split_clause,[],[f76,f307,f532,f356]) ).

fof(f76,plain,
    ( e0 != op(op(e3,e3),e3)
    | e2 != op(e3,op(op(e3,e3),e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( e0 != op(op(e3,e3),e3)
    | e2 != op(e3,op(op(e3,e3),e3))
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ~ ( e1 = op(e3,e3)
      & e0 = op(op(e3,e3),e3)
      & e2 = op(e3,op(op(e3,e3),e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

fof(f530,plain,
    ( ~ spl3_2
    | ~ spl3_73
    | ~ spl3_74 ),
    inference(avatar_split_clause,[],[f198,f527,f523,f208]) ).

fof(f198,plain,
    ( e3 != op(e0,op(op(e0,e0),e0))
    | e1 != op(op(e0,e0),e0)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( e3 != op(e0,op(op(e0,e0),e0))
    | op(e0,e0) != e2
    | e1 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ~ ( e3 = op(e0,op(op(e0,e0),e0))
      & e1 = op(op(e0,e0),e0)
      & op(e0,e0) = e2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

fof(f521,plain,
    ( spl3_72
    | spl3_54
    | spl3_28
    | spl3_51 ),
    inference(avatar_split_clause,[],[f161,f423,f320,f436,f518]) ).

fof(f161,plain,
    ( sP0
    | sP2
    | sP1
    | e2 = op(op(e2,e1),op(e2,e1)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f511,plain,
    ( ~ spl3_2
    | ~ spl3_32
    | ~ spl3_70 ),
    inference(avatar_split_clause,[],[f200,f508,f338,f208]) ).

fof(f200,plain,
    ( e3 != op(op(e0,e0),e0)
    | e1 != op(e0,op(op(e0,e0),e0))
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( op(e0,e0) != e2
    | e3 != op(op(e0,e0),e0)
    | e1 != op(e0,op(op(e0,e0),e0)) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ~ ( op(e0,e0) = e2
      & e1 = op(e0,op(op(e0,e0),e0))
      & e3 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).

fof(f506,plain,
    ( spl3_68
    | spl3_50
    | spl3_69
    | spl3_5 ),
    inference(avatar_split_clause,[],[f179,f221,f503,f418,f499]) ).

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

fof(f497,plain,
    ( spl3_66
    | spl3_67
    | spl3_49
    | spl3_63 ),
    inference(avatar_split_clause,[],[f189,f476,f414,f494,f490]) ).

fof(f189,plain,
    ( e1 = op(e1,e1)
    | e1 = op(e1,e2)
    | e1 = op(e1,e0)
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f488,plain,
    ( spl3_35
    | spl3_64
    | spl3_46
    | spl3_65 ),
    inference(avatar_split_clause,[],[f173,f485,f401,f481,f351]) ).

fof(f173,plain,
    ( e0 = op(e2,e3)
    | e0 = op(e2,e0)
    | e0 = op(e2,e1)
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f479,plain,
    ( spl3_14
    | spl3_62
    | spl3_63
    | spl3_10 ),
    inference(avatar_split_clause,[],[f180,f242,f476,f472,f259]) ).

fof(f180,plain,
    ( e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e3,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f470,plain,
    ( spl3_59
    | spl3_60
    | spl3_61
    | spl3_19 ),
    inference(avatar_split_clause,[],[f141,f280,f467,f463,f459]) ).

fof(f141,plain,
    ( e0 = op(e3,e2)
    | e3 = op(e3,e2)
    | e1 = op(e3,e2)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f457,plain,
    ( spl3_57
    | spl3_58
    | spl3_40
    | spl3_56 ),
    inference(avatar_split_clause,[],[f185,f445,f374,f454,f450]) ).

fof(f185,plain,
    ( e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | e3 = op(e3,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f439,plain,
    ( spl3_53
    | ~ spl3_54 ),
    inference(avatar_split_clause,[],[f151,f436,f432]) ).

fof(f151,plain,
    ( ~ sP1
    | e1 = op(op(e1,e3),op(e1,e3)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f430,plain,
    ( ~ spl3_51
    | spl3_52 ),
    inference(avatar_split_clause,[],[f157,f427,f423]) ).

fof(f157,plain,
    ( e1 = op(op(e1,e2),op(e1,e2))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f421,plain,
    ( spl3_33
    | spl3_49
    | spl3_50
    | spl3_41 ),
    inference(avatar_split_clause,[],[f129,f378,f418,f414,f343]) ).

fof(f129,plain,
    ( e3 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f412,plain,
    ( spl3_46
    | spl3_47
    | spl3_48
    | spl3_11 ),
    inference(avatar_split_clause,[],[f127,f246,f409,f405,f401]) ).

fof(f127,plain,
    ( e1 = op(e2,e0)
    | e2 = op(e2,e0)
    | e3 = op(e2,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f399,plain,
    ( ~ spl3_28
    | spl3_45 ),
    inference(avatar_split_clause,[],[f150,f396,f320]) ).

fof(f150,plain,
    ( e0 = op(op(e0,e0),op(e0,e0))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f385,plain,
    ( spl3_24
    | spl3_40
    | spl3_41
    | spl3_42 ),
    inference(avatar_split_clause,[],[f167,f382,f378,f374,f302]) ).

fof(f167,plain,
    ( e3 = op(e1,e0)
    | e3 = op(e1,e2)
    | e3 = op(e1,e3)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f372,plain,
    ( ~ spl3_28
    | spl3_39 ),
    inference(avatar_split_clause,[],[f148,f369,f320]) ).

fof(f148,plain,
    ( e1 = op(op(e1,e0),op(e1,e0))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f367,plain,
    ( ~ spl3_36
    | ~ spl3_37
    | ~ spl3_38 ),
    inference(avatar_split_clause,[],[f143,f364,f360,f356]) ).

fof(f143,plain,
    ( e2 != op(op(e3,e3),e3)
    | e0 != op(e3,op(op(e3,e3),e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( e1 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(e3,op(op(e3,e3),e3)) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ ( e2 = op(op(e3,e3),e3)
      & e0 = op(e3,op(op(e3,e3),e3))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(f354,plain,
    ( spl3_19
    | spl3_33
    | spl3_34
    | spl3_35 ),
    inference(avatar_split_clause,[],[f166,f351,f347,f343,f280]) ).

fof(f166,plain,
    ( e0 = op(e2,e2)
    | e0 = op(e0,e2)
    | e0 = op(e1,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f341,plain,
    ( ~ spl3_31
    | ~ spl3_4
    | ~ spl3_32 ),
    inference(avatar_split_clause,[],[f74,f338,f216,f334]) ).

fof(f74,plain,
    ( e1 != op(e0,op(op(e0,e0),e0))
    | op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( e1 != op(e0,op(op(e0,e0),e0))
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e3 ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ ( op(e0,e0) = e3
      & e1 = op(e0,op(op(e0,e0),e0))
      & e2 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

fof(f332,plain,
    ( spl3_15
    | spl3_29
    | spl3_30
    | spl3_24 ),
    inference(avatar_split_clause,[],[f170,f302,f329,f325,f263]) ).

fof(f170,plain,
    ( e3 = op(e1,e1)
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f323,plain,
    ( spl3_27
    | ~ spl3_28 ),
    inference(avatar_split_clause,[],[f149,f320,f316]) ).

fof(f149,plain,
    ( ~ sP2
    | e3 = op(op(e3,e0),op(e3,e0)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f287,plain,
    ( spl3_17
    | spl3_18
    | spl3_19
    | spl3_20 ),
    inference(avatar_split_clause,[],[f178,f284,f280,f276,f272]) ).

fof(f178,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e3,e2)
    | e0 = op(e3,e3)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f270,plain,
    ( spl3_13
    | spl3_14
    | spl3_15
    | spl3_16 ),
    inference(avatar_split_clause,[],[f137,f267,f263,f259,f255]) ).

fof(f137,plain,
    ( e0 = op(e0,e1)
    | e3 = op(e0,e1)
    | e1 = op(e0,e1)
    | e2 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f253,plain,
    ( spl3_9
    | spl3_10
    | spl3_11
    | spl3_12 ),
    inference(avatar_split_clause,[],[f175,f250,f246,f242,f238]) ).

fof(f175,plain,
    ( e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | e1 = op(e2,e1)
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f236,plain,
    ( spl3_5
    | spl3_6
    | spl3_7
    | spl3_8 ),
    inference(avatar_split_clause,[],[f193,f233,f229,f225,f221]) ).

fof(f193,plain,
    ( e2 = op(e2,e3)
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f219,plain,
    ( spl3_1
    | spl3_2
    | spl3_3
    | spl3_4 ),
    inference(avatar_split_clause,[],[f133,f216,f212,f208,f204]) ).

fof(f133,plain,
    ( op(e0,e0) = e3
    | e0 = op(e0,e0)
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ALG137+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 15:05:02 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.54  % (25361)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (25362)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (25377)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55  % (25369)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (25362)Instruction limit reached!
% 0.20/0.55  % (25362)------------------------------
% 0.20/0.55  % (25362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (25370)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56  % (25362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (25362)Termination reason: Unknown
% 0.20/0.56  % (25362)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (25362)Memory used [KB]: 5756
% 0.20/0.56  % (25362)Time elapsed: 0.008 s
% 0.20/0.56  % (25362)Instructions burned: 7 (million)
% 0.20/0.56  % (25362)------------------------------
% 0.20/0.56  % (25362)------------------------------
% 0.20/0.56  % (25378)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.59  TRYING [4]
% 0.20/0.59  % (25363)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.60  % (25355)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.60  % (25359)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60  % (25384)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.60  % (25380)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.61  % (25379)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.61  % (25360)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.61  % (25357)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.61  % (25371)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.61  % (25376)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.62  % (25356)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.62  % (25383)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.62  % (25363)Instruction limit reached!
% 0.20/0.62  % (25363)------------------------------
% 0.20/0.62  % (25363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (25363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62  % (25363)Termination reason: Unknown
% 0.20/0.62  % (25363)Termination phase: Property scanning
% 0.20/0.62  
% 0.20/0.62  % (25363)Memory used [KB]: 895
% 0.20/0.62  % (25363)Time elapsed: 0.004 s
% 0.20/0.62  % (25363)Instructions burned: 3 (million)
% 0.20/0.62  % (25363)------------------------------
% 0.20/0.62  % (25363)------------------------------
% 0.20/0.62  % (25358)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.62  % (25372)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.62  % (25368)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.62  % (25375)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.63  % (25365)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.63  % (25366)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.92/0.63  % (25364)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.92/0.64  % (25367)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.92/0.64  % (25382)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.92/0.64  % (25381)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.92/0.64  % (25361)Instruction limit reached!
% 1.92/0.64  % (25361)------------------------------
% 1.92/0.64  % (25361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64  % (25361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64  % (25361)Termination reason: Unknown
% 1.92/0.64  % (25361)Termination phase: Finite model building SAT solving
% 1.92/0.64  
% 1.92/0.64  % (25361)Memory used [KB]: 7675
% 1.92/0.64  % (25361)Time elapsed: 0.183 s
% 1.92/0.64  % (25361)Instructions burned: 51 (million)
% 1.92/0.64  % (25361)------------------------------
% 1.92/0.64  % (25361)------------------------------
% 1.92/0.64  % (25373)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.92/0.65  % (25374)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.92/0.65  TRYING [4]
% 2.22/0.65  % (25370)Instruction limit reached!
% 2.22/0.65  % (25370)------------------------------
% 2.22/0.65  % (25370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65  % (25370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.65  % (25370)Termination reason: Unknown
% 2.22/0.65  % (25370)Termination phase: Saturation
% 2.22/0.65  
% 2.22/0.65  % (25370)Memory used [KB]: 1535
% 2.22/0.65  % (25370)Time elapsed: 0.219 s
% 2.22/0.65  % (25370)Instructions burned: 75 (million)
% 2.22/0.65  % (25370)------------------------------
% 2.22/0.65  % (25370)------------------------------
% 2.22/0.66  % (25357)Instruction limit reached!
% 2.22/0.66  % (25357)------------------------------
% 2.22/0.66  % (25357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66  TRYING [4]
% 2.22/0.67  % (25369)Instruction limit reached!
% 2.22/0.67  % (25369)------------------------------
% 2.22/0.67  % (25369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.67  % (25369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.67  % (25369)Termination reason: Unknown
% 2.22/0.67  % (25369)Termination phase: Saturation
% 2.22/0.67  
% 2.22/0.67  % (25369)Memory used [KB]: 6396
% 2.22/0.67  % (25369)Time elapsed: 0.047 s
% 2.22/0.67  % (25369)Instructions burned: 70 (million)
% 2.22/0.67  % (25369)------------------------------
% 2.22/0.67  % (25369)------------------------------
% 2.45/0.68  % (25357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.68  % (25357)Termination reason: Unknown
% 2.45/0.68  % (25357)Termination phase: Saturation
% 2.45/0.68  
% 2.45/0.68  % (25357)Memory used [KB]: 1151
% 2.45/0.68  % (25357)Time elapsed: 0.221 s
% 2.45/0.68  % (25357)Instructions burned: 38 (million)
% 2.45/0.68  % (25357)------------------------------
% 2.45/0.68  % (25357)------------------------------
% 2.45/0.68  % (25358)Instruction limit reached!
% 2.45/0.68  % (25358)------------------------------
% 2.45/0.68  % (25358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.68  % (25358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.68  % (25358)Termination reason: Unknown
% 2.45/0.68  % (25358)Termination phase: Saturation
% 2.45/0.68  
% 2.45/0.68  % (25358)Memory used [KB]: 6652
% 2.45/0.68  % (25358)Time elapsed: 0.241 s
% 2.45/0.68  % (25358)Instructions burned: 52 (million)
% 2.45/0.68  % (25358)------------------------------
% 2.45/0.68  % (25358)------------------------------
% 2.45/0.69  TRYING [5]
% 2.45/0.70  % (25359)Instruction limit reached!
% 2.45/0.70  % (25359)------------------------------
% 2.45/0.70  % (25359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.70  % (25360)Instruction limit reached!
% 2.45/0.70  % (25360)------------------------------
% 2.45/0.70  % (25360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.70  % (25364)Instruction limit reached!
% 2.45/0.70  % (25364)------------------------------
% 2.45/0.70  % (25364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.70  % (25360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.70  % (25360)Termination reason: Unknown
% 2.45/0.70  % (25360)Termination phase: Saturation
% 2.45/0.70  
% 2.45/0.70  % (25360)Memory used [KB]: 6140
% 2.45/0.70  % (25360)Time elapsed: 0.253 s
% 2.45/0.70  % (25360)Instructions burned: 48 (million)
% 2.45/0.70  % (25360)------------------------------
% 2.45/0.70  % (25360)------------------------------
% 2.45/0.71  % (25356)Instruction limit reached!
% 2.45/0.71  % (25356)------------------------------
% 2.45/0.71  % (25356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71  % (25356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71  % (25356)Termination reason: Unknown
% 2.45/0.71  % (25356)Termination phase: Saturation
% 2.45/0.71  
% 2.45/0.71  % (25356)Memory used [KB]: 6140
% 2.45/0.71  % (25356)Time elapsed: 0.030 s
% 2.45/0.71  % (25356)Instructions burned: 51 (million)
% 2.45/0.71  % (25356)------------------------------
% 2.45/0.71  % (25356)------------------------------
% 2.45/0.71  % (25372)Instruction limit reached!
% 2.45/0.71  % (25372)------------------------------
% 2.45/0.71  % (25372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71  % (25364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71  % (25364)Termination reason: Unknown
% 2.45/0.71  % (25364)Termination phase: Saturation
% 2.45/0.71  
% 2.45/0.71  % (25364)Memory used [KB]: 1407
% 2.45/0.71  % (25364)Time elapsed: 0.218 s
% 2.45/0.71  % (25364)Instructions burned: 52 (million)
% 2.45/0.71  % (25364)------------------------------
% 2.45/0.71  % (25364)------------------------------
% 2.45/0.71  % (25372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71  % (25372)Termination reason: Unknown
% 2.45/0.71  % (25372)Termination phase: Finite model building SAT solving
% 2.45/0.71  
% 2.45/0.71  % (25372)Memory used [KB]: 7675
% 2.45/0.71  % (25372)Time elapsed: 0.208 s
% 2.45/0.71  % (25372)Instructions burned: 60 (million)
% 2.45/0.71  % (25372)------------------------------
% 2.45/0.71  % (25372)------------------------------
% 2.45/0.72  % (25365)Instruction limit reached!
% 2.45/0.72  % (25365)------------------------------
% 2.45/0.72  % (25365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.72  % (25409)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.78/0.72  % (25359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.72  % (25359)Termination reason: Unknown
% 2.78/0.72  % (25359)Termination phase: Saturation
% 2.78/0.72  
% 2.78/0.72  % (25359)Memory used [KB]: 6268
% 2.78/0.72  % (25359)Time elapsed: 0.033 s
% 2.78/0.72  % (25359)Instructions burned: 52 (million)
% 2.78/0.72  % (25359)------------------------------
% 2.78/0.72  % (25359)------------------------------
% 2.78/0.72  % (25365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.72  % (25365)Termination reason: Unknown
% 2.78/0.72  % (25365)Termination phase: Saturation
% 2.78/0.72  
% 2.78/0.72  % (25365)Memory used [KB]: 6780
% 2.78/0.72  % (25365)Time elapsed: 0.029 s
% 2.78/0.72  % (25365)Instructions burned: 50 (million)
% 2.78/0.72  % (25365)------------------------------
% 2.78/0.72  % (25365)------------------------------
% 2.78/0.72  % (25383)First to succeed.
% 2.93/0.75  % (25381)Instruction limit reached!
% 2.93/0.75  % (25381)------------------------------
% 2.93/0.75  % (25381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.75  % (25383)Refutation found. Thanks to Tanya!
% 2.93/0.75  % SZS status Unsatisfiable for theBenchmark
% 2.93/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 2.93/0.76  % (25383)------------------------------
% 2.93/0.76  % (25383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.76  % (25383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.76  % (25383)Termination reason: Refutation
% 2.93/0.76  
% 2.93/0.76  % (25383)Memory used [KB]: 6908
% 2.93/0.76  % (25383)Time elapsed: 0.063 s
% 2.93/0.76  % (25383)Instructions burned: 85 (million)
% 2.93/0.76  % (25383)------------------------------
% 2.93/0.76  % (25383)------------------------------
% 2.93/0.76  % (25354)Success in time 0.395 s
%------------------------------------------------------------------------------