TSTP Solution File: ALG110+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG110+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 : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:42:47 EDT 2022

% Result   : Theorem 2.38s 0.73s
% Output   : Refutation 2.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :  170
% Syntax   : Number of formulae    :  814 ( 133 unt;   0 def)
%            Number of atoms       : 3303 (2043 equ)
%            Maximal formula atoms :  128 (   4 avg)
%            Number of connectives : 4067 (1578   ~;1798   |; 558   &)
%                                         ( 133 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  155 ( 153 usr; 154 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3655,plain,
    $false,
    inference(avatar_sat_refutation,[],[f643,f698,f868,f877,f950,f1124,f1134,f1135,f1141,f1148,f1243,f1244,f1246,f1283,f1394,f1409,f1416,f1424,f1473,f1501,f1503,f1532,f1534,f1613,f1625,f1632,f1711,f1712,f1714,f1729,f1734,f1749,f1751,f1762,f1766,f1767,f1772,f1773,f1780,f1782,f1792,f1797,f1814,f1893,f1917,f1920,f1922,f1923,f1953,f1960,f1961,f1962,f1971,f1991,f1992,f2004,f2035,f2040,f2041,f2066,f2091,f2099,f2102,f2106,f2116,f2123,f2148,f2213,f2214,f2215,f2240,f2249,f2258,f2266,f2291,f2300,f2301,f2309,f2315,f2329,f2338,f2347,f2355,f2362,f2365,f2379,f2383,f2384,f2391,f2399,f2412,f2430,f2434,f2437,f2477,f2485,f2503,f2564,f2585,f2592,f2621,f2628,f2642,f2661,f2662,f2685,f2713,f2736,f2760,f2763,f2767,f2773,f2794,f2799,f2846,f2852,f2892,f2899,f2935,f2972,f2974,f2977,f3010,f3047,f3054,f3059,f3063,f3076,f3102,f3125,f3156,f3186,f3205,f3222,f3226,f3271,f3286,f3306,f3319,f3339,f3345,f3367,f3385,f3412,f3421,f3451,f3468,f3480,f3481,f3497,f3520,f3527,f3541,f3562]) ).

fof(f3562,plain,
    ( ~ spl20_11
    | ~ spl20_13 ),
    inference(avatar_split_clause,[],[f3561,f502,f494]) ).

fof(f494,plain,
    ( spl20_11
  <=> e11 = op1(e11,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).

fof(f502,plain,
    ( spl20_13
  <=> e11 = op1(e12,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).

fof(f3561,plain,
    ( e11 != op1(e11,e11)
    | ~ spl20_13 ),
    inference(forward_demodulation,[],[f104,f504]) ).

fof(f504,plain,
    ( e11 = op1(e12,e11)
    | ~ spl20_13 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f104,plain,
    op1(e11,e11) != op1(e12,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( op1(e10,e10) != op1(e12,e10)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e13,e12) != op1(e13,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e11,e12) != op1(e13,e12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f3541,plain,
    ( ~ spl20_18
    | ~ spl20_66
    | ~ spl20_108
    | ~ spl20_158
    | ~ spl20_209
    | spl20_233 ),
    inference(avatar_contradiction_clause,[],[f3540]) ).

fof(f3540,plain,
    ( $false
    | ~ spl20_18
    | ~ spl20_66
    | ~ spl20_108
    | ~ spl20_158
    | ~ spl20_209
    | spl20_233 ),
    inference(subsumption_resolution,[],[f3539,f1575]) ).

fof(f1575,plain,
    ( e20 != e22
    | spl20_233 ),
    inference(avatar_component_clause,[],[f1573]) ).

fof(f1573,plain,
    ( spl20_233
  <=> e20 = e22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_233])]) ).

fof(f3539,plain,
    ( e20 = e22
    | ~ spl20_18
    | ~ spl20_66
    | ~ spl20_108
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f3538,f1414]) ).

fof(f1414,plain,
    ( e22 = h3(e12)
    | ~ spl20_209 ),
    inference(avatar_component_clause,[],[f1413]) ).

fof(f1413,plain,
    ( spl20_209
  <=> e22 = h3(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_209])]) ).

fof(f3538,plain,
    ( e20 = h3(e12)
    | ~ spl20_18
    | ~ spl20_66
    | ~ spl20_108
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(backward_demodulation,[],[f3482,f917]) ).

fof(f917,plain,
    ( e12 = op1(e10,e12)
    | ~ spl20_108 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f915,plain,
    ( spl20_108
  <=> e12 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_108])]) ).

fof(f3482,plain,
    ( e20 = h3(op1(e10,e12))
    | ~ spl20_18
    | ~ spl20_66
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f3049,f526]) ).

fof(f526,plain,
    ( e20 = op2(e20,e22)
    | ~ spl20_18 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f524,plain,
    ( spl20_18
  <=> e20 = op2(e20,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).

fof(f3049,plain,
    ( op2(e20,e22) = h3(op1(e10,e12))
    | ~ spl20_66
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f3048,f1146]) ).

fof(f1146,plain,
    ( e20 = h3(e10)
    | ~ spl20_158 ),
    inference(avatar_component_clause,[],[f1145]) ).

fof(f1145,plain,
    ( spl20_158
  <=> e20 = h3(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_158])]) ).

fof(f3048,plain,
    ( h3(op1(e10,e12)) = op2(h3(e10),e22)
    | ~ spl20_66
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f736,f1414]) ).

fof(f736,plain,
    ( h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
    | ~ spl20_66 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl20_66
  <=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).

fof(f3527,plain,
    ( ~ spl20_131
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f3526,f597,f1023]) ).

fof(f1023,plain,
    ( spl20_131
  <=> e13 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_131])]) ).

fof(f597,plain,
    ( spl20_35
  <=> e13 = op1(e12,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).

fof(f3526,plain,
    ( e13 != op1(e10,e12)
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f95,f599]) ).

fof(f599,plain,
    ( e13 = op1(e12,e12)
    | ~ spl20_35 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f95,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3520,plain,
    ( ~ spl20_51
    | ~ spl20_37 ),
    inference(avatar_split_clause,[],[f3519,f606,f666]) ).

fof(f666,plain,
    ( spl20_51
  <=> e10 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).

fof(f606,plain,
    ( spl20_37
  <=> e10 = op1(e10,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).

fof(f3519,plain,
    ( e10 != op1(e10,e12)
    | ~ spl20_37 ),
    inference(forward_demodulation,[],[f96,f608]) ).

fof(f608,plain,
    ( e10 = op1(e10,e11)
    | ~ spl20_37 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f96,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3497,plain,
    ( ~ spl20_82
    | ~ spl20_158
    | ~ spl20_182
    | ~ spl20_209
    | ~ spl20_225
    | spl20_258 ),
    inference(avatar_contradiction_clause,[],[f3496]) ).

fof(f3496,plain,
    ( $false
    | ~ spl20_82
    | ~ spl20_158
    | ~ spl20_182
    | ~ spl20_209
    | ~ spl20_225
    | spl20_258 ),
    inference(subsumption_resolution,[],[f3495,f1727]) ).

fof(f1727,plain,
    ( e22 != e23
    | spl20_258 ),
    inference(avatar_component_clause,[],[f1725]) ).

fof(f1725,plain,
    ( spl20_258
  <=> e22 = e23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_258])]) ).

fof(f3495,plain,
    ( e22 = e23
    | ~ spl20_82
    | ~ spl20_158
    | ~ spl20_182
    | ~ spl20_209
    | ~ spl20_225 ),
    inference(forward_demodulation,[],[f3494,f2888]) ).

fof(f2888,plain,
    ( op2(e20,e20) = e23
    | ~ spl20_158
    | ~ spl20_182 ),
    inference(backward_demodulation,[],[f2395,f1258]) ).

fof(f1258,plain,
    ( e23 = h1(e13)
    | ~ spl20_182 ),
    inference(avatar_component_clause,[],[f1256]) ).

fof(f1256,plain,
    ( spl20_182
  <=> e23 = h1(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_182])]) ).

fof(f2395,plain,
    ( op2(e20,e20) = h1(e13)
    | ~ spl20_158 ),
    inference(backward_demodulation,[],[f2251,f2394]) ).

fof(f2394,plain,
    ( h1(e13) = h4(e10)
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f361,f2251]) ).

fof(f361,plain,
    op2(e20,e20) = h1(e13),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ( op2(e20,e20) = h1(e13)
    & h1(e10) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
    & e20 = h1(e12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f2251,plain,
    ( op2(e20,e20) = h4(e10)
    | ~ spl20_158 ),
    inference(backward_demodulation,[],[f1617,f1146]) ).

fof(f1617,plain,
    h4(e10) = op2(h3(e10),h3(e10)),
    inference(backward_demodulation,[],[f1319,f1615]) ).

fof(f1615,plain,
    h3(e10) = h4(e13),
    inference(forward_demodulation,[],[f1614,f116]) ).

fof(f116,plain,
    op2(e23,e23) = h4(e13),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ( e23 = h4(e12)
    & h4(e10) = op2(op2(e23,e23),op2(e23,e23))
    & op2(e23,e23) = h4(e13)
    & h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f1614,plain,
    op2(e23,e23) = h3(e10),
    inference(forward_demodulation,[],[f254,f1498]) ).

fof(f1498,plain,
    e23 = op2(e22,e22),
    inference(backward_demodulation,[],[f255,f1493]) ).

fof(f1493,plain,
    e23 = h3(e13),
    inference(forward_demodulation,[],[f66,f255]) ).

fof(f66,plain,
    e23 = op2(e22,e22),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ( e23 = op2(e22,e22)
    & e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
    & e20 = op2(op2(e22,e22),op2(e22,e22)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f255,plain,
    op2(e22,e22) = h3(e13),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ( e22 = h3(e12)
    & op2(e22,e22) = h3(e13)
    & op2(op2(e22,e22),op2(e22,e22)) = h3(e10)
    & op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f254,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
    inference(cnf_transformation,[],[f16]) ).

fof(f1319,plain,
    h4(e10) = op2(h4(e13),h4(e13)),
    inference(forward_demodulation,[],[f117,f116]) ).

fof(f117,plain,
    h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
    inference(cnf_transformation,[],[f17]) ).

fof(f3494,plain,
    ( op2(e20,e20) = e22
    | ~ spl20_82
    | ~ spl20_158
    | ~ spl20_209
    | ~ spl20_225 ),
    inference(forward_demodulation,[],[f3493,f1414]) ).

fof(f3493,plain,
    ( op2(e20,e20) = h3(e12)
    | ~ spl20_82
    | ~ spl20_158
    | ~ spl20_225 ),
    inference(forward_demodulation,[],[f3453,f1531]) ).

fof(f1531,plain,
    ( op1(e10,e10) = e12
    | ~ spl20_225 ),
    inference(avatar_component_clause,[],[f1529]) ).

fof(f1529,plain,
    ( spl20_225
  <=> op1(e10,e10) = e12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_225])]) ).

fof(f3453,plain,
    ( op2(e20,e20) = h3(op1(e10,e10))
    | ~ spl20_82
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f800,f1146]) ).

fof(f800,plain,
    ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
    | ~ spl20_82 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f799,plain,
    ( spl20_82
  <=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).

fof(f3481,plain,
    ( ~ spl20_108
    | ~ spl20_106 ),
    inference(avatar_split_clause,[],[f3476,f907,f915]) ).

fof(f907,plain,
    ( spl20_106
  <=> e12 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_106])]) ).

fof(f3476,plain,
    ( e12 != op1(e10,e12)
    | ~ spl20_106 ),
    inference(backward_demodulation,[],[f88,f909]) ).

fof(f909,plain,
    ( e12 = op1(e13,e12)
    | ~ spl20_106 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f88,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3480,plain,
    ( ~ spl20_41
    | ~ spl20_106
    | ~ spl20_209
    | ~ spl20_267 ),
    inference(avatar_contradiction_clause,[],[f3479]) ).

fof(f3479,plain,
    ( $false
    | ~ spl20_41
    | ~ spl20_106
    | ~ spl20_209
    | ~ spl20_267 ),
    inference(subsumption_resolution,[],[f3478,f124]) ).

fof(f124,plain,
    e21 != e22,
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ( e21 != e22
    & e20 != e21
    & e21 != e23
    & e22 != e23
    & e20 != e22
    & e20 != e23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f3478,plain,
    ( e21 = e22
    | ~ spl20_41
    | ~ spl20_106
    | ~ spl20_209
    | ~ spl20_267 ),
    inference(forward_demodulation,[],[f3477,f1414]) ).

fof(f3477,plain,
    ( e21 = h3(e12)
    | ~ spl20_41
    | ~ spl20_106
    | ~ spl20_209
    | ~ spl20_267 ),
    inference(backward_demodulation,[],[f3466,f909]) ).

fof(f3466,plain,
    ( e21 = h3(op1(e13,e12))
    | ~ spl20_41
    | ~ spl20_209
    | ~ spl20_267 ),
    inference(forward_demodulation,[],[f3379,f625]) ).

fof(f625,plain,
    ( e21 = op2(e23,e22)
    | ~ spl20_41 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f623,plain,
    ( spl20_41
  <=> e21 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).

fof(f3379,plain,
    ( op2(e23,e22) = h3(op1(e13,e12))
    | ~ spl20_209
    | ~ spl20_267 ),
    inference(forward_demodulation,[],[f1850,f1414]) ).

fof(f1850,plain,
    ( h3(op1(e13,e12)) = op2(e23,h3(e12))
    | ~ spl20_267 ),
    inference(avatar_component_clause,[],[f1849]) ).

fof(f1849,plain,
    ( spl20_267
  <=> h3(op1(e13,e12)) = op2(e23,h3(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_267])]) ).

fof(f3468,plain,
    ( ~ spl20_133
    | ~ spl20_134 ),
    inference(avatar_split_clause,[],[f3467,f1036,f1032]) ).

fof(f1032,plain,
    ( spl20_133
  <=> e11 = op1(e10,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_133])]) ).

fof(f1036,plain,
    ( spl20_134
  <=> e11 = op1(e10,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_134])]) ).

fof(f3467,plain,
    ( e11 != op1(e10,e12)
    | ~ spl20_134 ),
    inference(forward_demodulation,[],[f92,f1038]) ).

fof(f1038,plain,
    ( e11 = op1(e10,e13)
    | ~ spl20_134 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f92,plain,
    op1(e10,e12) != op1(e10,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3451,plain,
    ( ~ spl20_57
    | ~ spl20_121
    | ~ spl20_264
    | spl20_270 ),
    inference(avatar_contradiction_clause,[],[f3450]) ).

fof(f3450,plain,
    ( $false
    | ~ spl20_57
    | ~ spl20_121
    | ~ spl20_264
    | spl20_270 ),
    inference(subsumption_resolution,[],[f3449,f977]) ).

fof(f977,plain,
    ( e23 = op2(e23,e21)
    | ~ spl20_121 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f976,plain,
    ( spl20_121
  <=> e23 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_121])]) ).

fof(f3449,plain,
    ( e23 != op2(e23,e21)
    | ~ spl20_57
    | ~ spl20_264
    | spl20_270 ),
    inference(forward_demodulation,[],[f3448,f1493]) ).

fof(f3448,plain,
    ( op2(e23,e21) != h3(e13)
    | ~ spl20_57
    | ~ spl20_264
    | spl20_270 ),
    inference(forward_demodulation,[],[f3447,f695]) ).

fof(f695,plain,
    ( e13 = op1(e13,e11)
    | ~ spl20_57 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f694,plain,
    ( spl20_57
  <=> e13 = op1(e13,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).

fof(f3447,plain,
    ( op2(e23,e21) != h3(op1(e13,e11))
    | ~ spl20_264
    | spl20_270 ),
    inference(forward_demodulation,[],[f1863,f1803]) ).

fof(f1803,plain,
    ( e21 = h3(e11)
    | ~ spl20_264 ),
    inference(avatar_component_clause,[],[f1801]) ).

fof(f1801,plain,
    ( spl20_264
  <=> e21 = h3(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_264])]) ).

fof(f1863,plain,
    ( h3(op1(e13,e11)) != op2(e23,h3(e11))
    | spl20_270 ),
    inference(avatar_component_clause,[],[f1861]) ).

fof(f1861,plain,
    ( spl20_270
  <=> h3(op1(e13,e11)) = op2(e23,h3(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_270])]) ).

fof(f3421,plain,
    ( spl20_82
    | ~ spl20_158
    | ~ spl20_182
    | ~ spl20_219 ),
    inference(avatar_contradiction_clause,[],[f3420]) ).

fof(f3420,plain,
    ( $false
    | spl20_82
    | ~ spl20_158
    | ~ spl20_182
    | ~ spl20_219 ),
    inference(subsumption_resolution,[],[f3419,f2888]) ).

fof(f3419,plain,
    ( op2(e20,e20) != e23
    | spl20_82
    | ~ spl20_158
    | ~ spl20_219 ),
    inference(forward_demodulation,[],[f3418,f1493]) ).

fof(f3418,plain,
    ( op2(e20,e20) != h3(e13)
    | spl20_82
    | ~ spl20_158
    | ~ spl20_219 ),
    inference(forward_demodulation,[],[f3417,f1480]) ).

fof(f1480,plain,
    ( op1(e10,e10) = e13
    | ~ spl20_219 ),
    inference(avatar_component_clause,[],[f1478]) ).

fof(f1478,plain,
    ( spl20_219
  <=> op1(e10,e10) = e13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_219])]) ).

fof(f3417,plain,
    ( op2(e20,e20) != h3(op1(e10,e10))
    | spl20_82
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f801,f1146]) ).

fof(f801,plain,
    ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | spl20_82 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f3412,plain,
    ( ~ spl20_204
    | ~ spl20_219
    | spl20_268 ),
    inference(avatar_contradiction_clause,[],[f3411]) ).

fof(f3411,plain,
    ( $false
    | ~ spl20_204
    | ~ spl20_219
    | spl20_268 ),
    inference(subsumption_resolution,[],[f3410,f1493]) ).

fof(f3410,plain,
    ( e23 != h3(e13)
    | ~ spl20_204
    | ~ spl20_219
    | spl20_268 ),
    inference(forward_demodulation,[],[f3409,f1377]) ).

fof(f1377,plain,
    ( e23 = h4(e10)
    | ~ spl20_204 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f1376,plain,
    ( spl20_204
  <=> e23 = h4(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_204])]) ).

fof(f3409,plain,
    ( h3(e13) != h4(e10)
    | ~ spl20_219
    | spl20_268 ),
    inference(forward_demodulation,[],[f1855,f1480]) ).

fof(f1855,plain,
    ( h4(e10) != h3(op1(e10,e10))
    | spl20_268 ),
    inference(avatar_component_clause,[],[f1853]) ).

fof(f1853,plain,
    ( spl20_268
  <=> h4(e10) = h3(op1(e10,e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_268])]) ).

fof(f3385,plain,
    ( ~ spl20_110
    | spl20_269 ),
    inference(avatar_contradiction_clause,[],[f3384]) ).

fof(f3384,plain,
    ( $false
    | ~ spl20_110
    | spl20_269 ),
    inference(trivial_inequality_removal,[],[f3383]) ).

fof(f3383,plain,
    ( h3(e10) != h3(e10)
    | ~ spl20_110
    | spl20_269 ),
    inference(forward_demodulation,[],[f1859,f926]) ).

fof(f926,plain,
    ( e10 = op1(e13,e13)
    | ~ spl20_110 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl20_110
  <=> e10 = op1(e13,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_110])]) ).

fof(f1859,plain,
    ( h3(e10) != h3(op1(e13,e13))
    | spl20_269 ),
    inference(avatar_component_clause,[],[f1857]) ).

fof(f1857,plain,
    ( spl20_269
  <=> h3(e10) = h3(op1(e13,e13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_269])]) ).

fof(f3367,plain,
    ( ~ spl20_7
    | ~ spl20_134
    | ~ spl20_158
    | ~ spl20_264
    | spl20_272 ),
    inference(avatar_contradiction_clause,[],[f3366]) ).

fof(f3366,plain,
    ( $false
    | ~ spl20_7
    | ~ spl20_134
    | ~ spl20_158
    | ~ spl20_264
    | spl20_272 ),
    inference(subsumption_resolution,[],[f3365,f479]) ).

fof(f479,plain,
    ( e21 = op2(e20,e23)
    | ~ spl20_7 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl20_7
  <=> e21 = op2(e20,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).

fof(f3365,plain,
    ( e21 != op2(e20,e23)
    | ~ spl20_134
    | ~ spl20_158
    | ~ spl20_264
    | spl20_272 ),
    inference(forward_demodulation,[],[f3364,f1803]) ).

fof(f3364,plain,
    ( op2(e20,e23) != h3(e11)
    | ~ spl20_134
    | ~ spl20_158
    | spl20_272 ),
    inference(forward_demodulation,[],[f3363,f1038]) ).

fof(f3363,plain,
    ( op2(e20,e23) != h3(op1(e10,e13))
    | ~ spl20_158
    | spl20_272 ),
    inference(forward_demodulation,[],[f1871,f1146]) ).

fof(f1871,plain,
    ( h3(op1(e10,e13)) != op2(h3(e10),e23)
    | spl20_272 ),
    inference(avatar_component_clause,[],[f1869]) ).

fof(f1869,plain,
    ( spl20_272
  <=> h3(op1(e10,e13)) = op2(h3(e10),e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_272])]) ).

fof(f3345,plain,
    ( ~ spl20_35
    | ~ spl20_129 ),
    inference(avatar_contradiction_clause,[],[f3344]) ).

fof(f3344,plain,
    ( $false
    | ~ spl20_35
    | ~ spl20_129 ),
    inference(subsumption_resolution,[],[f3343,f258]) ).

fof(f258,plain,
    e11 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ( e10 != e12
    & e10 != e11
    & e12 != e13
    & e10 != e13
    & e11 != e13
    & e11 != e12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f3343,plain,
    ( e11 = e13
    | ~ spl20_35
    | ~ spl20_129 ),
    inference(forward_demodulation,[],[f1016,f599]) ).

fof(f1016,plain,
    ( e11 = op1(e12,e12)
    | ~ spl20_129 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1014,plain,
    ( spl20_129
  <=> e11 = op1(e12,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_129])]) ).

fof(f3339,plain,
    ( ~ spl20_109
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f3338,f924,f920]) ).

fof(f920,plain,
    ( spl20_109
  <=> e10 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_109])]) ).

fof(f3338,plain,
    ( e10 != op1(e13,e12)
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f76,f926]) ).

fof(f76,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3319,plain,
    ( ~ spl20_130
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f3318,f597,f1019]) ).

fof(f1019,plain,
    ( spl20_130
  <=> e13 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_130])]) ).

fof(f3318,plain,
    ( e13 != op1(e13,e12)
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f101,f599]) ).

fof(f101,plain,
    op1(e12,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3306,plain,
    ( ~ spl20_41
    | ~ spl20_100
    | ~ spl20_209
    | ~ spl20_264
    | spl20_267 ),
    inference(avatar_contradiction_clause,[],[f3305]) ).

fof(f3305,plain,
    ( $false
    | ~ spl20_41
    | ~ spl20_100
    | ~ spl20_209
    | ~ spl20_264
    | spl20_267 ),
    inference(subsumption_resolution,[],[f3304,f625]) ).

fof(f3304,plain,
    ( e21 != op2(e23,e22)
    | ~ spl20_100
    | ~ spl20_209
    | ~ spl20_264
    | spl20_267 ),
    inference(forward_demodulation,[],[f3303,f1803]) ).

fof(f3303,plain,
    ( op2(e23,e22) != h3(e11)
    | ~ spl20_100
    | ~ spl20_209
    | spl20_267 ),
    inference(forward_demodulation,[],[f3302,f882]) ).

fof(f882,plain,
    ( e11 = op1(e13,e12)
    | ~ spl20_100 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl20_100
  <=> e11 = op1(e13,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_100])]) ).

fof(f3302,plain,
    ( op2(e23,e22) != h3(op1(e13,e12))
    | ~ spl20_209
    | spl20_267 ),
    inference(forward_demodulation,[],[f1851,f1414]) ).

fof(f1851,plain,
    ( h3(op1(e13,e12)) != op2(e23,h3(e12))
    | spl20_267 ),
    inference(avatar_component_clause,[],[f1849]) ).

fof(f3286,plain,
    ( ~ spl20_4
    | ~ spl20_85
    | ~ spl20_209
    | spl20_274 ),
    inference(avatar_contradiction_clause,[],[f3285]) ).

fof(f3285,plain,
    ( $false
    | ~ spl20_4
    | ~ spl20_85
    | ~ spl20_209
    | spl20_274 ),
    inference(subsumption_resolution,[],[f3284,f813]) ).

fof(f813,plain,
    ( e22 = op2(e22,e23)
    | ~ spl20_85 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl20_85
  <=> e22 = op2(e22,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).

fof(f3284,plain,
    ( e22 != op2(e22,e23)
    | ~ spl20_4
    | ~ spl20_209
    | spl20_274 ),
    inference(forward_demodulation,[],[f3283,f1414]) ).

fof(f3283,plain,
    ( op2(e22,e23) != h3(e12)
    | ~ spl20_4
    | ~ spl20_209
    | spl20_274 ),
    inference(forward_demodulation,[],[f3282,f466]) ).

fof(f466,plain,
    ( e12 = op1(e12,e13)
    | ~ spl20_4 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f464,plain,
    ( spl20_4
  <=> e12 = op1(e12,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f3282,plain,
    ( op2(e22,e23) != h3(op1(e12,e13))
    | ~ spl20_209
    | spl20_274 ),
    inference(forward_demodulation,[],[f1879,f1414]) ).

fof(f1879,plain,
    ( h3(op1(e12,e13)) != op2(h3(e12),e23)
    | spl20_274 ),
    inference(avatar_component_clause,[],[f1877]) ).

fof(f1877,plain,
    ( spl20_274
  <=> h3(op1(e12,e13)) = op2(h3(e12),e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_274])]) ).

fof(f3271,plain,
    ( ~ spl20_214
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f2554,f924,f1447]) ).

fof(f1447,plain,
    ( spl20_214
  <=> e10 = op1(e11,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_214])]) ).

fof(f2554,plain,
    ( e10 != op1(e11,e13)
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f105,f926]) ).

fof(f105,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3226,plain,
    ( ~ spl20_124
    | ~ spl20_4 ),
    inference(avatar_split_clause,[],[f2532,f464,f992]) ).

fof(f992,plain,
    ( spl20_124
  <=> e12 = op1(e11,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_124])]) ).

fof(f2532,plain,
    ( e12 != op1(e11,e13)
    | ~ spl20_4 ),
    inference(forward_demodulation,[],[f69,f466]) ).

fof(f69,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3222,plain,
    ( ~ spl20_45
    | ~ spl20_110 ),
    inference(avatar_contradiction_clause,[],[f3221]) ).

fof(f3221,plain,
    ( $false
    | ~ spl20_45
    | ~ spl20_110 ),
    inference(subsumption_resolution,[],[f3220,f259]) ).

fof(f259,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f3220,plain,
    ( e10 = e13
    | ~ spl20_45
    | ~ spl20_110 ),
    inference(forward_demodulation,[],[f642,f926]) ).

fof(f642,plain,
    ( e13 = op1(e13,e13)
    | ~ spl20_45 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f640,plain,
    ( spl20_45
  <=> e13 = op1(e13,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_45])]) ).

fof(f3205,plain,
    ( ~ spl20_63
    | ~ spl20_187
    | ~ spl20_264
    | spl20_273 ),
    inference(avatar_contradiction_clause,[],[f3204]) ).

fof(f3204,plain,
    ( $false
    | ~ spl20_63
    | ~ spl20_187
    | ~ spl20_264
    | spl20_273 ),
    inference(subsumption_resolution,[],[f3203,f1282]) ).

fof(f1282,plain,
    ( e23 = op2(e21,e23)
    | ~ spl20_187 ),
    inference(avatar_component_clause,[],[f1280]) ).

fof(f1280,plain,
    ( spl20_187
  <=> e23 = op2(e21,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_187])]) ).

fof(f3203,plain,
    ( e23 != op2(e21,e23)
    | ~ spl20_63
    | ~ spl20_264
    | spl20_273 ),
    inference(forward_demodulation,[],[f3202,f1493]) ).

fof(f3202,plain,
    ( op2(e21,e23) != h3(e13)
    | ~ spl20_63
    | ~ spl20_264
    | spl20_273 ),
    inference(forward_demodulation,[],[f3201,f724]) ).

fof(f724,plain,
    ( e13 = op1(e11,e13)
    | ~ spl20_63 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f722,plain,
    ( spl20_63
  <=> e13 = op1(e11,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_63])]) ).

fof(f3201,plain,
    ( op2(e21,e23) != h3(op1(e11,e13))
    | ~ spl20_264
    | spl20_273 ),
    inference(forward_demodulation,[],[f1875,f1803]) ).

fof(f1875,plain,
    ( h3(op1(e11,e13)) != op2(h3(e11),e23)
    | spl20_273 ),
    inference(avatar_component_clause,[],[f1873]) ).

fof(f1873,plain,
    ( spl20_273
  <=> h3(op1(e11,e13)) = op2(h3(e11),e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_273])]) ).

fof(f3186,plain,
    ( ~ spl20_158
    | ~ spl20_189
    | ~ spl20_209
    | ~ spl20_243
    | spl20_271 ),
    inference(avatar_contradiction_clause,[],[f3185]) ).

fof(f3185,plain,
    ( $false
    | ~ spl20_158
    | ~ spl20_189
    | ~ spl20_209
    | ~ spl20_243
    | spl20_271 ),
    inference(subsumption_resolution,[],[f3184,f1624]) ).

fof(f1624,plain,
    ( e22 = op2(e23,e20)
    | ~ spl20_243 ),
    inference(avatar_component_clause,[],[f1622]) ).

fof(f1622,plain,
    ( spl20_243
  <=> e22 = op2(e23,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_243])]) ).

fof(f3184,plain,
    ( e22 != op2(e23,e20)
    | ~ spl20_158
    | ~ spl20_189
    | ~ spl20_209
    | spl20_271 ),
    inference(forward_demodulation,[],[f3183,f1414]) ).

fof(f3183,plain,
    ( op2(e23,e20) != h3(e12)
    | ~ spl20_158
    | ~ spl20_189
    | spl20_271 ),
    inference(forward_demodulation,[],[f3182,f1293]) ).

fof(f1293,plain,
    ( e12 = op1(e13,e10)
    | ~ spl20_189 ),
    inference(avatar_component_clause,[],[f1291]) ).

fof(f1291,plain,
    ( spl20_189
  <=> e12 = op1(e13,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_189])]) ).

fof(f3182,plain,
    ( op2(e23,e20) != h3(op1(e13,e10))
    | ~ spl20_158
    | spl20_271 ),
    inference(forward_demodulation,[],[f1867,f1146]) ).

fof(f1867,plain,
    ( h3(op1(e13,e10)) != op2(e23,h3(e10))
    | spl20_271 ),
    inference(avatar_component_clause,[],[f1865]) ).

fof(f1865,plain,
    ( spl20_271
  <=> h3(op1(e13,e10)) = op2(e23,h3(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_271])]) ).

fof(f3156,plain,
    ( spl20_76
    | ~ spl20_107
    | ~ spl20_112
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(avatar_contradiction_clause,[],[f3155]) ).

fof(f3155,plain,
    ( $false
    | spl20_76
    | ~ spl20_107
    | ~ spl20_112
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(subsumption_resolution,[],[f3154,f935]) ).

fof(f935,plain,
    ( e22 = op2(e21,e22)
    | ~ spl20_112 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f933,plain,
    ( spl20_112
  <=> e22 = op2(e21,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_112])]) ).

fof(f3154,plain,
    ( e22 != op2(e21,e22)
    | spl20_76
    | ~ spl20_107
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f3153,f1414]) ).

fof(f3153,plain,
    ( op2(e21,e22) != h3(e12)
    | spl20_76
    | ~ spl20_107
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f3152,f913]) ).

fof(f913,plain,
    ( e12 = op1(e11,e12)
    | ~ spl20_107 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f911,plain,
    ( spl20_107
  <=> e12 = op1(e11,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_107])]) ).

fof(f3152,plain,
    ( op2(e21,e22) != h3(op1(e11,e12))
    | spl20_76
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f3151,f1803]) ).

fof(f3151,plain,
    ( h3(op1(e11,e12)) != op2(h3(e11),e22)
    | spl20_76
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f777,f1414]) ).

fof(f777,plain,
    ( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | spl20_76 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f775,plain,
    ( spl20_76
  <=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).

fof(f3125,plain,
    ( ~ spl20_27
    | spl20_78
    | ~ spl20_117
    | ~ spl20_158
    | ~ spl20_264 ),
    inference(avatar_contradiction_clause,[],[f3124]) ).

fof(f3124,plain,
    ( $false
    | ~ spl20_27
    | spl20_78
    | ~ spl20_117
    | ~ spl20_158
    | ~ spl20_264 ),
    inference(subsumption_resolution,[],[f3123,f957]) ).

fof(f957,plain,
    ( e21 = op2(e21,e20)
    | ~ spl20_117 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f956,plain,
    ( spl20_117
  <=> e21 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_117])]) ).

fof(f3123,plain,
    ( e21 != op2(e21,e20)
    | ~ spl20_27
    | spl20_78
    | ~ spl20_158
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f3122,f1803]) ).

fof(f3122,plain,
    ( op2(e21,e20) != h3(e11)
    | ~ spl20_27
    | spl20_78
    | ~ spl20_158
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f3121,f565]) ).

fof(f565,plain,
    ( e11 = op1(e11,e10)
    | ~ spl20_27 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f563,plain,
    ( spl20_27
  <=> e11 = op1(e11,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).

fof(f3121,plain,
    ( op2(e21,e20) != h3(op1(e11,e10))
    | spl20_78
    | ~ spl20_158
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f3120,f1803]) ).

fof(f3120,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),e20)
    | spl20_78
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f785,f1146]) ).

fof(f785,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | spl20_78 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f783,plain,
    ( spl20_78
  <=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).

fof(f3102,plain,
    ( ~ spl20_22
    | ~ spl20_48
    | spl20_77
    | ~ spl20_158
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(avatar_contradiction_clause,[],[f3101]) ).

fof(f3101,plain,
    ( $false
    | ~ spl20_22
    | ~ spl20_48
    | spl20_77
    | ~ spl20_158
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(subsumption_resolution,[],[f3100,f655]) ).

fof(f655,plain,
    ( e22 = op2(e20,e21)
    | ~ spl20_48 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f653,plain,
    ( spl20_48
  <=> e22 = op2(e20,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_48])]) ).

fof(f3100,plain,
    ( e22 != op2(e20,e21)
    | ~ spl20_22
    | spl20_77
    | ~ spl20_158
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f3099,f1414]) ).

fof(f3099,plain,
    ( op2(e20,e21) != h3(e12)
    | ~ spl20_22
    | spl20_77
    | ~ spl20_158
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f3098,f544]) ).

fof(f544,plain,
    ( e12 = op1(e10,e11)
    | ~ spl20_22 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f542,plain,
    ( spl20_22
  <=> e12 = op1(e10,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).

fof(f3098,plain,
    ( op2(e20,e21) != h3(op1(e10,e11))
    | spl20_77
    | ~ spl20_158
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f3097,f1146]) ).

fof(f3097,plain,
    ( h3(op1(e10,e11)) != op2(h3(e10),e21)
    | spl20_77
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f781,f1803]) ).

fof(f781,plain,
    ( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | spl20_77 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f779,plain,
    ( spl20_77
  <=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_77])]) ).

fof(f3076,plain,
    ( ~ spl20_111
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f3073,f933,f929]) ).

fof(f929,plain,
    ( spl20_111
  <=> e22 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_111])]) ).

fof(f3073,plain,
    ( e22 != op2(e21,e20)
    | ~ spl20_112 ),
    inference(backward_demodulation,[],[f369,f935]) ).

fof(f369,plain,
    op2(e21,e20) != op2(e21,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( op2(e21,e21) != op2(e23,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e23,e22) != op2(e23,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e23,e20) != op2(e23,e21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f3063,plain,
    ( ~ spl20_16
    | ~ spl20_18 ),
    inference(avatar_split_clause,[],[f3062,f524,f515]) ).

fof(f515,plain,
    ( spl20_16
  <=> e20 = op2(e20,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).

fof(f3062,plain,
    ( e20 != op2(e20,e21)
    | ~ spl20_18 ),
    inference(forward_demodulation,[],[f402,f526]) ).

fof(f402,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f3059,plain,
    ( ~ spl20_210
    | ~ spl20_18 ),
    inference(avatar_split_clause,[],[f3058,f524,f1421]) ).

fof(f1421,plain,
    ( spl20_210
  <=> e20 = op2(e21,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_210])]) ).

fof(f3058,plain,
    ( e20 != op2(e21,e22)
    | ~ spl20_18 ),
    inference(forward_demodulation,[],[f387,f526]) ).

fof(f387,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f3054,plain,
    ( ~ spl20_217
    | ~ spl20_121 ),
    inference(avatar_split_clause,[],[f3031,f976,f1466]) ).

fof(f1466,plain,
    ( spl20_217
  <=> e23 = op2(e20,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_217])]) ).

fof(f3031,plain,
    ( e23 != op2(e20,e21)
    | ~ spl20_121 ),
    inference(forward_demodulation,[],[f389,f977]) ).

fof(f389,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f3047,plain,
    ( spl20_180
    | ~ spl20_114 ),
    inference(avatar_split_clause,[],[f3046,f943,f1240]) ).

fof(f1240,plain,
    ( spl20_180
  <=> e20 = h2(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_180])]) ).

fof(f943,plain,
    ( spl20_114
  <=> e20 = op2(e21,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_114])]) ).

fof(f3046,plain,
    ( e20 = h2(e13)
    | ~ spl20_114 ),
    inference(forward_demodulation,[],[f265,f945]) ).

fof(f945,plain,
    ( e20 = op2(e21,e21)
    | ~ spl20_114 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f265,plain,
    op2(e21,e21) = h2(e13),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
    & op2(e21,e21) = h2(e13)
    & h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
    & e21 = h2(e12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f3010,plain,
    ( ~ spl20_85
    | ~ spl20_97 ),
    inference(avatar_contradiction_clause,[],[f3009]) ).

fof(f3009,plain,
    ( $false
    | ~ spl20_85
    | ~ spl20_97 ),
    inference(subsumption_resolution,[],[f2789,f867]) ).

fof(f867,plain,
    ( e22 = op2(e22,e20)
    | ~ spl20_97 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f865,plain,
    ( spl20_97
  <=> e22 = op2(e22,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).

fof(f2789,plain,
    ( e22 != op2(e22,e20)
    | ~ spl20_85 ),
    inference(forward_demodulation,[],[f388,f813]) ).

fof(f388,plain,
    op2(e22,e20) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2977,plain,
    ( ~ spl20_262
    | ~ spl20_264 ),
    inference(avatar_split_clause,[],[f2671,f1801,f1777]) ).

fof(f1777,plain,
    ( spl20_262
  <=> e21 = op2(e20,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_262])]) ).

fof(f2671,plain,
    ( e21 != op2(e20,e22)
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f1499,f1803]) ).

fof(f1499,plain,
    op2(e20,e22) != h3(e11),
    inference(backward_demodulation,[],[f377,f1496]) ).

fof(f1496,plain,
    op2(e20,e23) = h3(e11),
    inference(backward_demodulation,[],[f1297,f1493]) ).

fof(f1297,plain,
    h3(e11) = op2(e20,h3(e13)),
    inference(forward_demodulation,[],[f1296,f1143]) ).

fof(f1143,plain,
    e20 = op2(h3(e13),h3(e13)),
    inference(forward_demodulation,[],[f64,f255]) ).

fof(f64,plain,
    e20 = op2(op2(e22,e22),op2(e22,e22)),
    inference(cnf_transformation,[],[f13]) ).

fof(f1296,plain,
    h3(e11) = op2(op2(h3(e13),h3(e13)),h3(e13)),
    inference(forward_demodulation,[],[f253,f255]) ).

fof(f253,plain,
    op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11),
    inference(cnf_transformation,[],[f16]) ).

fof(f377,plain,
    op2(e20,e22) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2974,plain,
    ( ~ spl20_190
    | ~ spl20_187 ),
    inference(avatar_split_clause,[],[f2973,f1280,f1301]) ).

fof(f1301,plain,
    ( spl20_190
  <=> e23 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_190])]) ).

fof(f2973,plain,
    ( e23 != op2(e21,e20)
    | ~ spl20_187 ),
    inference(forward_demodulation,[],[f400,f1282]) ).

fof(f400,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2972,plain,
    ( ~ spl20_84
    | ~ spl20_210
    | spl20_213 ),
    inference(avatar_contradiction_clause,[],[f2971]) ).

fof(f2971,plain,
    ( $false
    | ~ spl20_84
    | ~ spl20_210
    | spl20_213 ),
    inference(subsumption_resolution,[],[f2970,f1440]) ).

fof(f1440,plain,
    ( e20 != e21
    | spl20_213 ),
    inference(avatar_component_clause,[],[f1438]) ).

fof(f1438,plain,
    ( spl20_213
  <=> e20 = e21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_213])]) ).

fof(f2970,plain,
    ( e20 = e21
    | ~ spl20_84
    | ~ spl20_210 ),
    inference(forward_demodulation,[],[f810,f1423]) ).

fof(f1423,plain,
    ( e20 = op2(e21,e22)
    | ~ spl20_210 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f810,plain,
    ( e21 = op2(e21,e22)
    | ~ spl20_84 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f808,plain,
    ( spl20_84
  <=> e21 = op2(e21,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).

fof(f2935,plain,
    ( ~ spl20_13
    | spl20_69
    | ~ spl20_196
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(avatar_contradiction_clause,[],[f2934]) ).

fof(f2934,plain,
    ( $false
    | ~ spl20_13
    | spl20_69
    | ~ spl20_196
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(subsumption_resolution,[],[f2933,f1337]) ).

fof(f1337,plain,
    ( e21 = op2(e22,e21)
    | ~ spl20_196 ),
    inference(avatar_component_clause,[],[f1335]) ).

fof(f1335,plain,
    ( spl20_196
  <=> e21 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_196])]) ).

fof(f2933,plain,
    ( e21 != op2(e22,e21)
    | ~ spl20_13
    | spl20_69
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f2932,f1803]) ).

fof(f2932,plain,
    ( op2(e22,e21) != h3(e11)
    | ~ spl20_13
    | spl20_69
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f2931,f504]) ).

fof(f2931,plain,
    ( op2(e22,e21) != h3(op1(e12,e11))
    | spl20_69
    | ~ spl20_209
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f2930,f1414]) ).

fof(f2930,plain,
    ( h3(op1(e12,e11)) != op2(h3(e12),e21)
    | spl20_69
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f749,f1803]) ).

fof(f749,plain,
    ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | spl20_69 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f747,plain,
    ( spl20_69
  <=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).

fof(f2899,plain,
    ( ~ spl20_117
    | ~ spl20_179 ),
    inference(avatar_contradiction_clause,[],[f2898]) ).

fof(f2898,plain,
    ( $false
    | ~ spl20_117
    | ~ spl20_179 ),
    inference(subsumption_resolution,[],[f2897,f957]) ).

fof(f2897,plain,
    ( e21 != op2(e21,e20)
    | ~ spl20_179 ),
    inference(forward_demodulation,[],[f2028,f1238]) ).

fof(f1238,plain,
    ( e21 = h2(e13)
    | ~ spl20_179 ),
    inference(avatar_component_clause,[],[f1236]) ).

fof(f1236,plain,
    ( spl20_179
  <=> e21 = h2(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_179])]) ).

fof(f2028,plain,
    op2(e21,e20) != h2(e13),
    inference(forward_demodulation,[],[f395,f265]) ).

fof(f395,plain,
    op2(e21,e20) != op2(e21,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2892,plain,
    ( spl20_224
    | ~ spl20_158
    | ~ spl20_182
    | ~ spl20_243 ),
    inference(avatar_split_clause,[],[f2891,f1622,f1256,f1145,f1524]) ).

fof(f1524,plain,
    ( spl20_224
  <=> e22 = h4(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_224])]) ).

fof(f2891,plain,
    ( e22 = h4(e11)
    | ~ spl20_158
    | ~ spl20_182
    | ~ spl20_243 ),
    inference(forward_demodulation,[],[f2887,f1624]) ).

fof(f2887,plain,
    ( op2(e23,e20) = h4(e11)
    | ~ spl20_158
    | ~ spl20_182 ),
    inference(backward_demodulation,[],[f2396,f1258]) ).

fof(f2396,plain,
    ( h4(e11) = op2(h1(e13),e20)
    | ~ spl20_158 ),
    inference(backward_demodulation,[],[f2253,f2394]) ).

fof(f2253,plain,
    ( h4(e11) = op2(h4(e10),e20)
    | ~ spl20_158 ),
    inference(backward_demodulation,[],[f1794,f1146]) ).

fof(f1794,plain,
    h4(e11) = op2(h4(e10),h3(e10)),
    inference(forward_demodulation,[],[f1793,f1617]) ).

fof(f1793,plain,
    h4(e11) = op2(op2(h3(e10),h3(e10)),h3(e10)),
    inference(forward_demodulation,[],[f115,f1620]) ).

fof(f1620,plain,
    op2(e23,e23) = h3(e10),
    inference(backward_demodulation,[],[f116,f1615]) ).

fof(f115,plain,
    h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
    inference(cnf_transformation,[],[f17]) ).

fof(f2852,plain,
    ( ~ spl20_35
    | spl20_73
    | ~ spl20_209 ),
    inference(avatar_contradiction_clause,[],[f2851]) ).

fof(f2851,plain,
    ( $false
    | ~ spl20_35
    | spl20_73
    | ~ spl20_209 ),
    inference(subsumption_resolution,[],[f2850,f1498]) ).

fof(f2850,plain,
    ( e23 != op2(e22,e22)
    | ~ spl20_35
    | spl20_73
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f2849,f1493]) ).

fof(f2849,plain,
    ( op2(e22,e22) != h3(e13)
    | ~ spl20_35
    | spl20_73
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f2848,f599]) ).

fof(f2848,plain,
    ( op2(e22,e22) != h3(op1(e12,e12))
    | spl20_73
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f765,f1414]) ).

fof(f765,plain,
    ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | spl20_73 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f763,plain,
    ( spl20_73
  <=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_73])]) ).

fof(f2846,plain,
    ( ~ spl20_43
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f2823,f623,f631]) ).

fof(f631,plain,
    ( spl20_43
  <=> e21 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_43])]) ).

fof(f2823,plain,
    ( e21 != op2(e23,e21)
    | ~ spl20_41 ),
    inference(forward_demodulation,[],[f401,f625]) ).

fof(f401,plain,
    op2(e23,e21) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2799,plain,
    ( ~ spl20_126
    | ~ spl20_18 ),
    inference(avatar_split_clause,[],[f2797,f524,f1001]) ).

fof(f1001,plain,
    ( spl20_126
  <=> e20 = h1(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_126])]) ).

fof(f2797,plain,
    ( e20 != h1(e13)
    | ~ spl20_18 ),
    inference(backward_demodulation,[],[f1457,f526]) ).

fof(f1457,plain,
    op2(e20,e22) != h1(e13),
    inference(forward_demodulation,[],[f378,f361]) ).

fof(f378,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2794,plain,
    ( ~ spl20_90
    | ~ spl20_196 ),
    inference(avatar_contradiction_clause,[],[f2793]) ).

fof(f2793,plain,
    ( $false
    | ~ spl20_90
    | ~ spl20_196 ),
    inference(subsumption_resolution,[],[f2792,f124]) ).

fof(f2792,plain,
    ( e21 = e22
    | ~ spl20_90
    | ~ spl20_196 ),
    inference(forward_demodulation,[],[f836,f1337]) ).

fof(f836,plain,
    ( e22 = op2(e22,e21)
    | ~ spl20_90 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f834,plain,
    ( spl20_90
  <=> e22 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).

fof(f2773,plain,
    ( ~ spl20_42
    | ~ spl20_41 ),
    inference(avatar_split_clause,[],[f2770,f623,f627]) ).

fof(f627,plain,
    ( spl20_42
  <=> e21 = op2(e23,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).

fof(f2770,plain,
    ( e21 != op2(e23,e20)
    | ~ spl20_41 ),
    inference(backward_demodulation,[],[f370,f625]) ).

fof(f370,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2767,plain,
    ( ~ spl20_38
    | ~ spl20_39 ),
    inference(avatar_split_clause,[],[f2766,f614,f610]) ).

fof(f610,plain,
    ( spl20_38
  <=> e10 = op1(e12,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).

fof(f614,plain,
    ( spl20_39
  <=> e10 = op1(e11,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).

fof(f2766,plain,
    ( e10 != op1(e12,e11)
    | ~ spl20_39 ),
    inference(forward_demodulation,[],[f104,f616]) ).

fof(f616,plain,
    ( e10 = op1(e11,e11)
    | ~ spl20_39 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f2763,plain,
    ( ~ spl20_186
    | ~ spl20_158 ),
    inference(avatar_split_clause,[],[f2407,f1145,f1276]) ).

fof(f1276,plain,
    ( spl20_186
  <=> e20 = op2(e21,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_186])]) ).

fof(f2407,plain,
    ( e20 != op2(e21,e23)
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f1731,f1146]) ).

fof(f1731,plain,
    op2(e21,e23) != h3(e10),
    inference(forward_demodulation,[],[f398,f1620]) ).

fof(f398,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2760,plain,
    ( ~ spl20_39
    | spl20_67
    | ~ spl20_114
    | ~ spl20_158
    | ~ spl20_264 ),
    inference(avatar_contradiction_clause,[],[f2759]) ).

fof(f2759,plain,
    ( $false
    | ~ spl20_39
    | spl20_67
    | ~ spl20_114
    | ~ spl20_158
    | ~ spl20_264 ),
    inference(subsumption_resolution,[],[f2758,f945]) ).

fof(f2758,plain,
    ( e20 != op2(e21,e21)
    | ~ spl20_39
    | spl20_67
    | ~ spl20_158
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f2757,f1146]) ).

fof(f2757,plain,
    ( op2(e21,e21) != h3(e10)
    | ~ spl20_39
    | spl20_67
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f2756,f616]) ).

fof(f2756,plain,
    ( op2(e21,e21) != h3(op1(e11,e11))
    | spl20_67
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f741,f1803]) ).

fof(f741,plain,
    ( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | spl20_67 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f739,plain,
    ( spl20_67
  <=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).

fof(f2736,plain,
    ( ~ spl20_29
    | spl20_75
    | ~ spl20_92
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(avatar_contradiction_clause,[],[f2735]) ).

fof(f2735,plain,
    ( $false
    | ~ spl20_29
    | spl20_75
    | ~ spl20_92
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(subsumption_resolution,[],[f2734,f574]) ).

fof(f574,plain,
    ( e20 = op2(e22,e20)
    | ~ spl20_29 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl20_29
  <=> e20 = op2(e22,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).

fof(f2734,plain,
    ( e20 != op2(e22,e20)
    | spl20_75
    | ~ spl20_92
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f2733,f1146]) ).

fof(f2733,plain,
    ( op2(e22,e20) != h3(e10)
    | spl20_75
    | ~ spl20_92
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f2449,f845]) ).

fof(f845,plain,
    ( e10 = op1(e12,e10)
    | ~ spl20_92 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f843,plain,
    ( spl20_92
  <=> e10 = op1(e12,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).

fof(f2449,plain,
    ( op2(e22,e20) != h3(op1(e12,e10))
    | spl20_75
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f2448,f1414]) ).

fof(f2448,plain,
    ( h3(op1(e12,e10)) != op2(h3(e12),e20)
    | spl20_75
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f773,f1146]) ).

fof(f773,plain,
    ( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | spl20_75 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f771,plain,
    ( spl20_75
  <=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).

fof(f2713,plain,
    ( ~ spl20_84
    | ~ spl20_117 ),
    inference(avatar_contradiction_clause,[],[f2712]) ).

fof(f2712,plain,
    ( $false
    | ~ spl20_84
    | ~ spl20_117 ),
    inference(subsumption_resolution,[],[f2711,f957]) ).

fof(f2711,plain,
    ( e21 != op2(e21,e20)
    | ~ spl20_84 ),
    inference(forward_demodulation,[],[f369,f810]) ).

fof(f2685,plain,
    ( ~ spl20_224
    | ~ spl20_88
    | ~ spl20_158
    | ~ spl20_182 ),
    inference(avatar_split_clause,[],[f2684,f1256,f1145,f826,f1524]) ).

fof(f826,plain,
    ( spl20_88
  <=> e22 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).

fof(f2684,plain,
    ( e22 != h4(e11)
    | ~ spl20_88
    | ~ spl20_158
    | ~ spl20_182 ),
    inference(forward_demodulation,[],[f2683,f2659]) ).

fof(f2659,plain,
    ( op2(e23,e20) = h4(e11)
    | ~ spl20_158
    | ~ spl20_182 ),
    inference(backward_demodulation,[],[f2396,f1258]) ).

fof(f2683,plain,
    ( e22 != op2(e23,e20)
    | ~ spl20_88 ),
    inference(forward_demodulation,[],[f362,f828]) ).

fof(f828,plain,
    ( e22 = op2(e23,e21)
    | ~ spl20_88 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f362,plain,
    op2(e23,e20) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2662,plain,
    ( spl20_204
    | ~ spl20_158
    | ~ spl20_182 ),
    inference(avatar_split_clause,[],[f2657,f1256,f1145,f1376]) ).

fof(f2657,plain,
    ( e23 = h4(e10)
    | ~ spl20_158
    | ~ spl20_182 ),
    inference(backward_demodulation,[],[f2394,f1258]) ).

fof(f2661,plain,
    ( ~ spl20_120
    | ~ spl20_182 ),
    inference(avatar_split_clause,[],[f2656,f1256,f972]) ).

fof(f972,plain,
    ( spl20_120
  <=> e23 = op2(e23,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_120])]) ).

fof(f2656,plain,
    ( e23 != op2(e23,e20)
    | ~ spl20_182 ),
    inference(backward_demodulation,[],[f1990,f1258]) ).

fof(f1990,plain,
    op2(e23,e20) != h1(e13),
    inference(forward_demodulation,[],[f373,f361]) ).

fof(f373,plain,
    op2(e20,e20) != op2(e23,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f2642,plain,
    ( ~ spl20_155
    | ~ spl20_158 ),
    inference(avatar_split_clause,[],[f2641,f1145,f1127]) ).

fof(f1127,plain,
    ( spl20_155
  <=> e20 = op2(e23,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_155])]) ).

fof(f2641,plain,
    ( e20 != op2(e23,e20)
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f1810,f1146]) ).

fof(f1810,plain,
    op2(e23,e20) != h3(e10),
    inference(forward_demodulation,[],[f364,f1620]) ).

fof(f364,plain,
    op2(e23,e20) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2628,plain,
    ( ~ spl20_30
    | ~ spl20_158 ),
    inference(avatar_contradiction_clause,[],[f2627]) ).

fof(f2627,plain,
    ( $false
    | ~ spl20_30
    | ~ spl20_158 ),
    inference(subsumption_resolution,[],[f2458,f578]) ).

fof(f578,plain,
    ( e20 = op2(e22,e23)
    | ~ spl20_30 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f576,plain,
    ( spl20_30
  <=> e20 = op2(e22,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).

fof(f2458,plain,
    ( e20 != op2(e22,e23)
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f1618,f1146]) ).

fof(f1618,plain,
    op2(e22,e23) != h3(e10),
    inference(backward_demodulation,[],[f1295,f1615]) ).

fof(f1295,plain,
    op2(e22,e23) != h4(e13),
    inference(forward_demodulation,[],[f366,f116]) ).

fof(f366,plain,
    op2(e22,e23) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2621,plain,
    ( ~ spl20_158
    | ~ spl20_185 ),
    inference(avatar_contradiction_clause,[],[f2620]) ).

fof(f2620,plain,
    ( $false
    | ~ spl20_158
    | ~ spl20_185 ),
    inference(subsumption_resolution,[],[f2619,f1271]) ).

fof(f1271,plain,
    ( e20 = op2(e23,e22)
    | ~ spl20_185 ),
    inference(avatar_component_clause,[],[f1269]) ).

fof(f1269,plain,
    ( spl20_185
  <=> e20 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_185])]) ).

fof(f2619,plain,
    ( e20 != op2(e23,e22)
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f1616,f1146]) ).

fof(f1616,plain,
    op2(e23,e22) != h3(e10),
    inference(backward_demodulation,[],[f1451,f1615]) ).

fof(f1451,plain,
    op2(e23,e22) != h4(e13),
    inference(forward_demodulation,[],[f381,f116]) ).

fof(f381,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2592,plain,
    ( ~ spl20_207
    | ~ spl20_63 ),
    inference(avatar_split_clause,[],[f2569,f722,f1399]) ).

fof(f1399,plain,
    ( spl20_207
  <=> e13 = op1(e11,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_207])]) ).

fof(f2569,plain,
    ( e13 != op1(e11,e10)
    | ~ spl20_63 ),
    inference(forward_demodulation,[],[f85,f724]) ).

fof(f85,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2585,plain,
    ( spl20_114
    | ~ spl20_180 ),
    inference(avatar_split_clause,[],[f2584,f1240,f943]) ).

fof(f2584,plain,
    ( e20 = op2(e21,e21)
    | ~ spl20_180 ),
    inference(forward_demodulation,[],[f265,f1242]) ).

fof(f1242,plain,
    ( e20 = h2(e13)
    | ~ spl20_180 ),
    inference(avatar_component_clause,[],[f1240]) ).

fof(f2564,plain,
    ( ~ spl20_21
    | ~ spl20_57 ),
    inference(avatar_contradiction_clause,[],[f2563]) ).

fof(f2563,plain,
    ( $false
    | ~ spl20_21
    | ~ spl20_57 ),
    inference(subsumption_resolution,[],[f2562,f260]) ).

fof(f260,plain,
    e12 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f2562,plain,
    ( e12 = e13
    | ~ spl20_21
    | ~ spl20_57 ),
    inference(forward_demodulation,[],[f540,f695]) ).

fof(f540,plain,
    ( e12 = op1(e13,e11)
    | ~ spl20_21 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f538,plain,
    ( spl20_21
  <=> e12 = op1(e13,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).

fof(f2503,plain,
    ( ~ spl20_1
    | ~ spl20_264 ),
    inference(avatar_contradiction_clause,[],[f2502]) ).

fof(f2502,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_264 ),
    inference(subsumption_resolution,[],[f2501,f122]) ).

fof(f122,plain,
    e21 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f2501,plain,
    ( e21 = e23
    | ~ spl20_1
    | ~ spl20_264 ),
    inference(forward_demodulation,[],[f452,f1803]) ).

fof(f452,plain,
    ( e23 = h3(e11)
    | ~ spl20_1 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f451,plain,
    ( spl20_1
  <=> e23 = h3(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).

fof(f2485,plain,
    ( ~ spl20_96
    | ~ spl20_217 ),
    inference(avatar_split_clause,[],[f2484,f1466,f860]) ).

fof(f860,plain,
    ( spl20_96
  <=> e23 = h2(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).

fof(f2484,plain,
    ( e23 != h2(e13)
    | ~ spl20_217 ),
    inference(forward_demodulation,[],[f2039,f1468]) ).

fof(f1468,plain,
    ( e23 = op2(e20,e21)
    | ~ spl20_217 ),
    inference(avatar_component_clause,[],[f1466]) ).

fof(f2039,plain,
    op2(e20,e21) != h2(e13),
    inference(forward_demodulation,[],[f376,f265]) ).

fof(f376,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f2477,plain,
    ( ~ spl20_115
    | ~ spl20_158 ),
    inference(avatar_contradiction_clause,[],[f2476]) ).

fof(f2476,plain,
    ( $false
    | ~ spl20_115
    | ~ spl20_158 ),
    inference(subsumption_resolution,[],[f2475,f949]) ).

fof(f949,plain,
    ( e20 = op2(e23,e21)
    | ~ spl20_115 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f947,plain,
    ( spl20_115
  <=> e20 = op2(e23,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_115])]) ).

fof(f2475,plain,
    ( e20 != op2(e23,e21)
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f1619,f1146]) ).

fof(f1619,plain,
    op2(e23,e21) != h3(e10),
    inference(backward_demodulation,[],[f1274,f1615]) ).

fof(f1274,plain,
    op2(e23,e21) != h4(e13),
    inference(backward_demodulation,[],[f407,f116]) ).

fof(f407,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2437,plain,
    ( ~ spl20_31
    | ~ spl20_90
    | spl20_233 ),
    inference(avatar_contradiction_clause,[],[f2436]) ).

fof(f2436,plain,
    ( $false
    | ~ spl20_31
    | ~ spl20_90
    | spl20_233 ),
    inference(subsumption_resolution,[],[f2435,f1575]) ).

fof(f2435,plain,
    ( e20 = e22
    | ~ spl20_31
    | ~ spl20_90 ),
    inference(forward_demodulation,[],[f836,f582]) ).

fof(f582,plain,
    ( e20 = op2(e22,e21)
    | ~ spl20_31 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f580,plain,
    ( spl20_31
  <=> e20 = op2(e22,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).

fof(f2434,plain,
    ( ~ spl20_146
    | ~ spl20_112 ),
    inference(avatar_split_clause,[],[f2433,f933,f1087]) ).

fof(f1087,plain,
    ( spl20_146
  <=> e22 = h2(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_146])]) ).

fof(f2433,plain,
    ( e22 != h2(e13)
    | ~ spl20_112 ),
    inference(backward_demodulation,[],[f1515,f935]) ).

fof(f1515,plain,
    op2(e21,e22) != h2(e13),
    inference(forward_demodulation,[],[f374,f265]) ).

fof(f374,plain,
    op2(e21,e21) != op2(e21,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f2430,plain,
    ( ~ spl20_211
    | ~ spl20_51 ),
    inference(avatar_split_clause,[],[f2429,f666,f1426]) ).

fof(f1426,plain,
    ( spl20_211
  <=> e10 = op1(e11,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_211])]) ).

fof(f2429,plain,
    ( e10 != op1(e11,e12)
    | ~ spl20_51 ),
    inference(forward_demodulation,[],[f107,f667]) ).

fof(f667,plain,
    ( e10 = op1(e10,e12)
    | ~ spl20_51 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f107,plain,
    op1(e10,e12) != op1(e11,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2412,plain,
    ( ~ spl20_98
    | ~ spl20_100 ),
    inference(avatar_split_clause,[],[f2411,f880,f870]) ).

fof(f870,plain,
    ( spl20_98
  <=> e11 = op1(e11,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_98])]) ).

fof(f2411,plain,
    ( e11 != op1(e11,e12)
    | ~ spl20_100 ),
    inference(forward_demodulation,[],[f67,f882]) ).

fof(f67,plain,
    op1(e11,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2399,plain,
    ( ~ spl20_85
    | ~ spl20_105 ),
    inference(avatar_split_clause,[],[f2398,f902,f812]) ).

fof(f902,plain,
    ( spl20_105
  <=> e22 = op2(e21,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_105])]) ).

fof(f2398,plain,
    ( e22 != op2(e22,e23)
    | ~ spl20_105 ),
    inference(forward_demodulation,[],[f392,f904]) ).

fof(f904,plain,
    ( e22 = op2(e21,e23)
    | ~ spl20_105 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f392,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2391,plain,
    ( ~ spl20_27
    | ~ spl20_93 ),
    inference(avatar_contradiction_clause,[],[f2390]) ).

fof(f2390,plain,
    ( $false
    | ~ spl20_27
    | ~ spl20_93 ),
    inference(subsumption_resolution,[],[f2389,f261]) ).

fof(f261,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f7]) ).

fof(f2389,plain,
    ( e10 = e11
    | ~ spl20_27
    | ~ spl20_93 ),
    inference(forward_demodulation,[],[f565,f849]) ).

fof(f849,plain,
    ( e10 = op1(e11,e10)
    | ~ spl20_93 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f847,plain,
    ( spl20_93
  <=> e10 = op1(e11,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).

fof(f2384,plain,
    ( ~ spl20_208
    | ~ spl20_264 ),
    inference(avatar_split_clause,[],[f2382,f1801,f1406]) ).

fof(f1406,plain,
    ( spl20_208
  <=> e21 = op2(e20,e21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_208])]) ).

fof(f2382,plain,
    ( e21 != op2(e20,e21)
    | ~ spl20_264 ),
    inference(backward_demodulation,[],[f1925,f1803]) ).

fof(f1925,plain,
    op2(e20,e21) != h3(e11),
    inference(forward_demodulation,[],[f382,f1496]) ).

fof(f382,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2383,plain,
    ( spl20_7
    | ~ spl20_264 ),
    inference(avatar_split_clause,[],[f2381,f1801,f477]) ).

fof(f2381,plain,
    ( e21 = op2(e20,e23)
    | ~ spl20_264 ),
    inference(backward_demodulation,[],[f1496,f1803]) ).

fof(f2379,plain,
    ( ~ spl20_13
    | ~ spl20_24 ),
    inference(avatar_split_clause,[],[f2378,f551,f502]) ).

fof(f551,plain,
    ( spl20_24
  <=> e11 = op1(e12,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).

fof(f2378,plain,
    ( e11 != op1(e12,e11)
    | ~ spl20_24 ),
    inference(backward_demodulation,[],[f89,f553]) ).

fof(f553,plain,
    ( e11 = op1(e12,e10)
    | ~ spl20_24 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f89,plain,
    op1(e12,e10) != op1(e12,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2365,plain,
    ( ~ spl20_50
    | ~ spl20_57 ),
    inference(avatar_split_clause,[],[f2364,f694,f662]) ).

fof(f662,plain,
    ( spl20_50
  <=> e13 = op1(e13,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).

fof(f2364,plain,
    ( e13 != op1(e13,e10)
    | ~ spl20_57 ),
    inference(forward_demodulation,[],[f91,f695]) ).

fof(f91,plain,
    op1(e13,e10) != op1(e13,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2362,plain,
    ( ~ spl20_32
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f2361,f597,f585]) ).

fof(f585,plain,
    ( spl20_32
  <=> e13 = op1(e12,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).

fof(f2361,plain,
    ( e13 != op1(e12,e10)
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f87,f599]) ).

fof(f87,plain,
    op1(e12,e10) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2355,plain,
    ( ~ spl20_180
    | ~ spl20_156 ),
    inference(avatar_split_clause,[],[f2354,f1131,f1240]) ).

fof(f1131,plain,
    ( spl20_156
  <=> e20 = op2(e21,e20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_156])]) ).

fof(f2354,plain,
    ( e20 != h2(e13)
    | ~ spl20_156 ),
    inference(forward_demodulation,[],[f2028,f1133]) ).

fof(f1133,plain,
    ( e20 = op2(e21,e20)
    | ~ spl20_156 ),
    inference(avatar_component_clause,[],[f1131]) ).

fof(f2347,plain,
    ( ~ spl20_132
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f2346,f597,f1027]) ).

fof(f1027,plain,
    ( spl20_132
  <=> e13 = op1(e11,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_132])]) ).

fof(f2346,plain,
    ( e13 != op1(e11,e12)
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f99,f599]) ).

fof(f99,plain,
    op1(e11,e12) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2338,plain,
    ( ~ spl20_117
    | ~ spl20_156
    | spl20_213 ),
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | ~ spl20_117
    | ~ spl20_156
    | spl20_213 ),
    inference(subsumption_resolution,[],[f2336,f1440]) ).

fof(f2336,plain,
    ( e20 = e21
    | ~ spl20_117
    | ~ spl20_156 ),
    inference(forward_demodulation,[],[f957,f1133]) ).

fof(f2329,plain,
    ( ~ spl20_18
    | ~ spl20_51
    | spl20_66
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(avatar_contradiction_clause,[],[f2328]) ).

fof(f2328,plain,
    ( $false
    | ~ spl20_18
    | ~ spl20_51
    | spl20_66
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(subsumption_resolution,[],[f2327,f526]) ).

fof(f2327,plain,
    ( e20 != op2(e20,e22)
    | ~ spl20_51
    | spl20_66
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f2326,f1146]) ).

fof(f2326,plain,
    ( op2(e20,e22) != h3(e10)
    | ~ spl20_51
    | spl20_66
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f2325,f667]) ).

fof(f2325,plain,
    ( op2(e20,e22) != h3(op1(e10,e12))
    | spl20_66
    | ~ spl20_158
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f2324,f1146]) ).

fof(f2324,plain,
    ( h3(op1(e10,e12)) != op2(h3(e10),e22)
    | spl20_66
    | ~ spl20_209 ),
    inference(forward_demodulation,[],[f737,f1414]) ).

fof(f737,plain,
    ( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | spl20_66 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f2315,plain,
    ( ~ spl20_3
    | ~ spl20_35 ),
    inference(avatar_contradiction_clause,[],[f2314]) ).

fof(f2314,plain,
    ( $false
    | ~ spl20_3
    | ~ spl20_35 ),
    inference(subsumption_resolution,[],[f2313,f260]) ).

fof(f2313,plain,
    ( e12 = e13
    | ~ spl20_3
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f462,f599]) ).

fof(f462,plain,
    ( e12 = op1(e12,e12)
    | ~ spl20_3 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f460,plain,
    ( spl20_3
  <=> e12 = op1(e12,e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f2309,plain,
    ( ~ spl20_154
    | ~ spl20_110 ),
    inference(avatar_split_clause,[],[f2308,f924,f1120]) ).

fof(f1120,plain,
    ( spl20_154
  <=> e10 = op1(e10,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_154])]) ).

fof(f2308,plain,
    ( e10 != op1(e10,e13)
    | ~ spl20_110 ),
    inference(backward_demodulation,[],[f86,f926]) ).

fof(f86,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2301,plain,
    ( spl20_110
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f2298,f597,f924]) ).

fof(f2298,plain,
    ( e10 = op1(e13,e13)
    | ~ spl20_35 ),
    inference(backward_demodulation,[],[f340,f599]) ).

fof(f340,plain,
    e10 = op1(op1(e12,e12),op1(e12,e12)),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ( e13 = op1(e12,e12)
    & e10 = op1(op1(e12,e12),op1(e12,e12))
    & e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f2300,plain,
    ( spl20_134
    | ~ spl20_35 ),
    inference(avatar_split_clause,[],[f2299,f597,f1036]) ).

fof(f2299,plain,
    ( e11 = op1(e10,e13)
    | ~ spl20_35 ),
    inference(backward_demodulation,[],[f2042,f599]) ).

fof(f2042,plain,
    e11 = op1(e10,op1(e12,e12)),
    inference(backward_demodulation,[],[f339,f340]) ).

fof(f339,plain,
    e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
    inference(cnf_transformation,[],[f12]) ).

fof(f2291,plain,
    ( ~ spl20_35
    | ~ spl20_33 ),
    inference(avatar_split_clause,[],[f2288,f589,f597]) ).

fof(f589,plain,
    ( spl20_33
  <=> e13 = op1(e12,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).

fof(f2288,plain,
    ( e13 != op1(e12,e12)
    | ~ spl20_33 ),
    inference(backward_demodulation,[],[f94,f591]) ).

fof(f591,plain,
    ( e13 = op1(e12,e11)
    | ~ spl20_33 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f94,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2266,plain,
    ( spl20_1
    | ~ spl20_9 ),
    inference(avatar_split_clause,[],[f2265,f485,f451]) ).

fof(f485,plain,
    ( spl20_9
  <=> e23 = op2(e20,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f2265,plain,
    ( e23 = h3(e11)
    | ~ spl20_9 ),
    inference(forward_demodulation,[],[f487,f1496]) ).

fof(f487,plain,
    ( e23 = op2(e20,e23)
    | ~ spl20_9 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f2258,plain,
    ( spl20_264
    | ~ spl20_158 ),
    inference(avatar_split_clause,[],[f2257,f1145,f1801]) ).

fof(f2257,plain,
    ( e21 = h3(e11)
    | ~ spl20_158 ),
    inference(forward_demodulation,[],[f2254,f1496]) ).

fof(f2254,plain,
    ( e21 = op2(e20,e23)
    | ~ spl20_158 ),
    inference(backward_demodulation,[],[f2030,f1146]) ).

fof(f2030,plain,
    e21 = op2(h3(e10),e23),
    inference(forward_demodulation,[],[f2029,f1620]) ).

fof(f2029,plain,
    e21 = op2(op2(e23,e23),e23),
    inference(forward_demodulation,[],[f65,f1498]) ).

fof(f65,plain,
    e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
    inference(cnf_transformation,[],[f13]) ).

fof(f2249,plain,
    ( ~ spl20_91
    | ~ spl20_51 ),
    inference(avatar_split_clause,[],[f2246,f666,f839]) ).

fof(f839,plain,
    ( spl20_91
  <=> e10 = op1(e10,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_91])]) ).

fof(f2246,plain,
    ( e10 != op1(e10,e10)
    | ~ spl20_51 ),
    inference(backward_demodulation,[],[f77,f667]) ).

fof(f77,plain,
    op1(e10,e10) != op1(e10,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2240,plain,
    ( ~ spl20_38
    | ~ spl20_37 ),
    inference(avatar_split_clause,[],[f2235,f606,f610]) ).

fof(f2235,plain,
    ( e10 != op1(e12,e11)
    | ~ spl20_37 ),
    inference(backward_demodulation,[],[f78,f608]) ).

fof(f78,plain,
    op1(e10,e11) != op1(e12,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2215,plain,
    ( ~ spl20_6
    | ~ spl20_4 ),
    inference(avatar_split_clause,[],[f2210,f464,f472]) ).

fof(f472,plain,
    ( spl20_6
  <=> e12 = op1(e12,e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f2210,plain,
    ( e12 != op1(e12,e11)
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f79,f466]) ).

fof(f79,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2214,plain,
    ( ~ spl20_123
    | ~ spl20_4 ),
    inference(avatar_split_clause,[],[f2209,f464,f988]) ).

fof(f988,plain,
    ( spl20_123
  <=> e12 = op1(e10,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_123])]) ).

fof(f2209,plain,
    ( e12 != op1(e10,e13)
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f113,f466]) ).

fof(f113,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2213,plain,
    ( ~ spl20_125
    | ~ spl20_4 ),
    inference(avatar_split_clause,[],[f2208,f464,f996]) ).

fof(f996,plain,
    ( spl20_125
  <=> e12 = op1(e13,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_125])]) ).

fof(f2208,plain,
    ( e12 != op1(e13,e13)
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f102,f466]) ).

fof(f102,plain,
    op1(e12,e13) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2148,plain,
    ( ~ spl20_264
    | ~ spl20_195 ),
    inference(avatar_split_clause,[],[f2146,f1331,f1801]) ).

fof(f1331,plain,
    ( spl20_195
  <=> e21 = op2(e22,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_195])]) ).

fof(f2146,plain,
    ( e21 != h3(e11)
    | ~ spl20_195 ),
    inference(backward_demodulation,[],[f1500,f1333]) ).

fof(f1333,plain,
    ( e21 = op2(e22,e23)
    | ~ spl20_195 ),
    inference(avatar_component_clause,[],[f1331]) ).

fof(f1500,plain,
    op2(e22,e23) != h3(e11),
    inference(backward_demodulation,[],[f399,f1496]) ).

fof(f399,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2123,plain,
    ( ~ spl20_4
    | ~ spl20_5 ),
    inference(avatar_split_clause,[],[f2119,f468,f464]) ).

fof(f468,plain,
    ( spl20_5
  <=> e12 = op1(e12,e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

fof(f2119,plain,
    ( e12 != op1(e12,e13)
    | ~ spl20_5 ),
    inference(backward_demodulation,[],[f110,f470]) ).

fof(f470,plain,
    ( e12 = op1(e12,e10)
    | ~ spl20_5 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f110,plain,
    op1(e12,e10) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2116,plain,
    ( ~ spl20_134
    | ~ spl20_52 ),
    inference(avatar_split_clause,[],[f2107,f671,f1036]) ).

fof(f671,plain,
    ( spl20_52
  <=> e11 = op1(e11,e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_52])]) ).

fof(f2107,plain,
    ( e11 != op1(e10,e13)
    | ~ spl20_52 ),
    inference(backward_demodulation,[],[f73,f672]) ).

fof(f672,plain,
    ( e11 = op1(e11,e13)
    | ~ spl20_52 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f73,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2106,plain,
    ( spl20_158
    | ~ spl20_188 ),
    inference(avatar_split_clause,[],[f2105,f1286,f1145]) ).

fof(f1286,plain,
    ( spl20_188
  <=> e20 = h4(e13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_188])]) ).

fof(f2105,plain,
    ( e20 = h3(e10)
    | ~ spl20_188 ),
    inference(forward_demodulation,[],[f1288,f1615]) ).

fof(f1288,plain,
    ( e20 = h4(e13)
    | ~ spl20_188 ),
    inference(avatar_component_clause,[],[f1286]) ).

fof(f2102,plain,
    ( ~ spl20_27
    | ~ spl20_98 ),
    inference(avatar_split_clause,[],[f2097,f870,f563]) ).

fof(f2097,plain,
    ( e11 != op1(e11,e10)
    | ~ spl20_98 ),
    inference(backward_demodulation,[],[f93,f872]) ).

fof(f872,plain,
    ( e11 = op1(e11,e12)
    | ~ spl20_98 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f93,plain,
    op1(e11,e10) != op1(e11,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2099,plain,
    ( ~ spl20_11
    | ~ spl20_98 ),
    inference(avatar_split_clause,[],[f2093,f870,f494]) ).

fof(f2093,plain,
    ( e11 != op1(e11,e11)
    | ~ spl20_98 ),
    inference(backward_demodulation,[],[f82,f872]) ).

fof(f82,plain,
    op1(e11,e11) != op1(e11,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2091,plain,
    ( ~ spl20_264
    | ~ spl20_62 ),
    inference(avatar_split_clause,[],[f2082,f717,f1801]) ).

fof(f717,plain,
    ( spl20_62
  <=> e21 = op2(e21,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).

fof(f2082,plain,
    ( e21 != h3(e11)
    | ~ spl20_62 ),
    inference(backward_demodulation,[],[f1732,f719]) ).

fof(f719,plain,
    ( e21 = op2(e21,e23)
    | ~ spl20_62 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f1732,plain,
    op2(e21,e23) != h3(e11),
    inference(forward_demodulation,[],[f371,f1496]) ).

fof(f371,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f2066,plain,
    ( spl20_106
    | spl20_125
    | spl20_189
    | spl20_21 ),
    inference(avatar_split_clause,[],[f155,f538,f1291,f996,f907]) ).

fof(f155,plain,
    ( e12 = op1(e13,e11)
    | e12 = op1(e13,e10)
    | e12 = op1(e13,e13)
    | e12 = op1(e13,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e10 = op1(e12,e13)
      | e10 = op1(e13,e13)
      | e10 = op1(e11,e13)
      | e10 = op1(e10,e13) )
    & ( e12 = op1(e13,e12)
      | e12 = op1(e13,e11)
      | e12 = op1(e13,e13)
      | e12 = op1(e13,e10) )
    & ( e10 = op1(e13,e10)
      | e10 = op1(e10,e10)
      | e10 = op1(e12,e10)
      | e10 = op1(e11,e10) )
    & ( e11 = op1(e11,e11)
      | e11 = op1(e12,e11)
      | e11 = op1(e10,e11)
      | e11 = op1(e13,e11) )
    & ( e11 = op1(e12,e12)
      | e11 = op1(e12,e13)
      | e11 = op1(e12,e11)
      | e11 = op1(e12,e10) )
    & ( e11 = op1(e13,e10)
      | op1(e10,e10) = e11
      | e11 = op1(e12,e10)
      | e11 = op1(e11,e10) )
    & ( e10 = op1(e13,e11)
      | e10 = op1(e13,e10)
      | e10 = op1(e13,e13)
      | e10 = op1(e13,e12) )
    & ( e10 = op1(e11,e12)
      | e10 = op1(e12,e12)
      | e10 = op1(e10,e12)
      | e10 = op1(e13,e12) )
    & ( e11 = op1(e13,e10)
      | e11 = op1(e13,e13)
      | e11 = op1(e13,e11)
      | e11 = op1(e13,e12) )
    & ( e13 = op1(e10,e11)
      | e13 = op1(e10,e12)
      | e13 = op1(e10,e13)
      | op1(e10,e10) = e13 )
    & ( e11 = op1(e11,e10)
      | e11 = op1(e11,e13)
      | e11 = op1(e11,e12)
      | e11 = op1(e11,e11) )
    & ( e12 = op1(e13,e11)
      | e12 = op1(e11,e11)
      | e12 = op1(e12,e11)
      | e12 = op1(e10,e11) )
    & ( e13 = op1(e12,e10)
      | e13 = op1(e12,e12)
      | e13 = op1(e12,e11)
      | e13 = op1(e12,e13) )
    & ( e10 = op1(e11,e13)
      | e10 = op1(e11,e11)
      | e10 = op1(e11,e10)
      | e10 = op1(e11,e12) )
    & ( e10 = op1(e10,e11)
      | e10 = op1(e10,e10)
      | e10 = op1(e10,e12)
      | e10 = op1(e10,e13) )
    & ( e10 = op1(e12,e12)
      | e10 = op1(e12,e13)
      | e10 = op1(e12,e11)
      | e10 = op1(e12,e10) )
    & ( e13 = op1(e13,e12)
      | e13 = op1(e10,e12)
      | e13 = op1(e12,e12)
      | e13 = op1(e11,e12) )
    & ( e12 = op1(e12,e10)
      | op1(e10,e10) = e12
      | e12 = op1(e11,e10)
      | e12 = op1(e13,e10) )
    & ( e11 = op1(e10,e11)
      | e11 = op1(e10,e13)
      | e11 = op1(e10,e12)
      | op1(e10,e10) = e11 )
    & ( e11 = op1(e13,e13)
      | e11 = op1(e12,e13)
      | e11 = op1(e11,e13)
      | e11 = op1(e10,e13) )
    & ( e13 = op1(e11,e13)
      | e13 = op1(e10,e13)
      | e13 = op1(e13,e13)
      | e13 = op1(e12,e13) )
    & ( e12 = op1(e10,e13)
      | e12 = op1(e10,e11)
      | op1(e10,e10) = e12
      | e12 = op1(e10,e12) )
    & ( e11 = op1(e11,e12)
      | e11 = op1(e12,e12)
      | e11 = op1(e10,e12)
      | e11 = op1(e13,e12) )
    & ( e12 = op1(e13,e12)
      | e12 = op1(e11,e12)
      | e12 = op1(e10,e12)
      | e12 = op1(e12,e12) )
    & ( e12 = op1(e11,e11)
      | e12 = op1(e11,e13)
      | e12 = op1(e11,e10)
      | e12 = op1(e11,e12) )
    & ( e10 = op1(e13,e11)
      | e10 = op1(e11,e11)
      | e10 = op1(e10,e11)
      | e10 = op1(e12,e11) )
    & ( e12 = op1(e12,e11)
      | e12 = op1(e12,e13)
      | e12 = op1(e12,e10)
      | e12 = op1(e12,e12) )
    & ( e13 = op1(e11,e10)
      | e13 = op1(e11,e11)
      | e13 = op1(e11,e13)
      | e13 = op1(e11,e12) )
    & ( e13 = op1(e13,e10)
      | e13 = op1(e13,e13)
      | e13 = op1(e13,e12)
      | e13 = op1(e13,e11) )
    & ( op1(e10,e10) = e13
      | e13 = op1(e11,e10)
      | e13 = op1(e13,e10)
      | e13 = op1(e12,e10) )
    & ( e13 = op1(e10,e11)
      | e13 = op1(e11,e11)
      | e13 = op1(e13,e11)
      | e13 = op1(e12,e11) )
    & ( e12 = op1(e12,e13)
      | e12 = op1(e13,e13)
      | e12 = op1(e11,e13)
      | e12 = op1(e10,e13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f2041,plain,
    ( spl20_11
    | ~ spl20_53 ),
    inference(avatar_split_clause,[],[f412,f675,f494]) ).

fof(f675,plain,
    ( spl20_53
  <=> sP18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).

fof(f412,plain,
    ( ~ sP18
    | e11 = op1(e11,e11) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ( e11 != op1(e11,e11)
      & e11 = op1(e11,e11) )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( ( e11 != op1(e11,e11)
      & e11 = op1(e11,e11) )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f2040,plain,
    ( spl20_109
    | spl20_106
    | spl20_100
    | spl20_130 ),
    inference(avatar_split_clause,[],[f355,f1019,f880,f907,f920]) ).

fof(f355,plain,
    ( e13 = op1(e13,e12)
    | e11 = op1(e13,e12)
    | e12 = op1(e13,e12)
    | e10 = op1(e13,e12) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e10 = op1(e10,e12)
      | e12 = op1(e10,e12)
      | e13 = op1(e10,e12)
      | e11 = op1(e10,e12) )
    & ( e11 = op1(e12,e11)
      | e12 = op1(e12,e11)
      | e10 = op1(e12,e11)
      | e13 = op1(e12,e11) )
    & ( e12 = op1(e13,e12)
      | e10 = op1(e13,e12)
      | e11 = op1(e13,e12)
      | e13 = op1(e13,e12) )
    & ( e13 = op1(e12,e13)
      | e10 = op1(e12,e13)
      | e11 = op1(e12,e13)
      | e12 = op1(e12,e13) )
    & ( e10 = op1(e12,e12)
      | e11 = op1(e12,e12)
      | e12 = op1(e12,e12)
      | e13 = op1(e12,e12) )
    & ( e13 = op1(e11,e12)
      | e12 = op1(e11,e12)
      | e11 = op1(e11,e12)
      | e10 = op1(e11,e12) )
    & ( e13 = op1(e12,e10)
      | e10 = op1(e12,e10)
      | e11 = op1(e12,e10)
      | e12 = op1(e12,e10) )
    & ( e12 = op1(e11,e10)
      | e11 = op1(e11,e10)
      | e13 = op1(e11,e10)
      | e10 = op1(e11,e10) )
    & ( e10 = op1(e10,e11)
      | e13 = op1(e10,e11)
      | e12 = op1(e10,e11)
      | e11 = op1(e10,e11) )
    & ( e10 = op1(e13,e11)
      | e11 = op1(e13,e11)
      | e12 = op1(e13,e11)
      | e13 = op1(e13,e11) )
    & ( e12 = op1(e10,e13)
      | e11 = op1(e10,e13)
      | e13 = op1(e10,e13)
      | e10 = op1(e10,e13) )
    & ( e13 = op1(e11,e11)
      | e10 = op1(e11,e11)
      | e12 = op1(e11,e11)
      | e11 = op1(e11,e11) )
    & ( e10 = op1(e13,e10)
      | e11 = op1(e13,e10)
      | e13 = op1(e13,e10)
      | e12 = op1(e13,e10) )
    & ( e10 = op1(e13,e13)
      | e11 = op1(e13,e13)
      | e13 = op1(e13,e13)
      | e12 = op1(e13,e13) )
    & ( e10 = op1(e10,e10)
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( e10 = op1(e11,e13)
      | e11 = op1(e11,e13)
      | e12 = op1(e11,e13)
      | e13 = op1(e11,e13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f2035,plain,
    ( spl20_32
    | spl20_5
    | spl20_92
    | spl20_24 ),
    inference(avatar_split_clause,[],[f351,f551,f843,f468,f585]) ).

fof(f351,plain,
    ( e11 = op1(e12,e10)
    | e10 = op1(e12,e10)
    | e12 = op1(e12,e10)
    | e13 = op1(e12,e10) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2004,plain,
    ( ~ spl20_268
    | ~ spl20_272
    | ~ spl20_77
    | ~ spl20_269
    | ~ spl20_270
    | spl20_2
    | ~ spl20_264
    | ~ spl20_73
    | ~ spl20_75
    | spl20_20
    | ~ spl20_76
    | ~ spl20_67
    | ~ spl20_78
    | ~ spl20_274
    | ~ spl20_271
    | ~ spl20_267
    | ~ spl20_273
    | spl20_65
    | ~ spl20_66
    | ~ spl20_69 ),
    inference(avatar_split_clause,[],[f2003,f747,f735,f731,f1873,f1849,f1865,f1877,f783,f739,f775,f533,f771,f763,f1801,f455,f1861,f1857,f779,f1869,f1853]) ).

fof(f455,plain,
    ( spl20_2
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f533,plain,
    ( spl20_20
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).

fof(f731,plain,
    ( spl20_65
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).

fof(f2003,plain,
    ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | sP6
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e13,e12)) != op2(e23,h3(e12))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(h3(e12),e23)
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | sP8
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | e21 != h3(e11)
    | sP7
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(e10) != h3(op1(e13,e13))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e13)) != op2(h3(e10),e23)
    | h4(e10) != h3(op1(e10,e10)) ),
    inference(forward_demodulation,[],[f2002,f1620]) ).

fof(f2002,plain,
    ( h3(op1(e12,e13)) != op2(h3(e12),e23)
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h4(e10) != h3(op1(e10,e10))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | op2(e23,e23) != h3(op1(e13,e13))
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | sP6
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | e21 != h3(e11)
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | h3(op1(e13,e12)) != op2(e23,h3(e12))
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | sP8
    | sP7
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e10,e13)) != op2(h3(e10),e23) ),
    inference(forward_demodulation,[],[f2001,f1493]) ).

fof(f2001,plain,
    ( h3(op1(e13,e12)) != op2(e23,h3(e12))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | sP7
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | h3(op1(e12,e13)) != op2(h3(e12),e23)
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h4(e10) != h3(op1(e10,e10))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | e21 != h3(e11)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | sP6
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | sP8
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e10,e13)) != op2(h3(e10),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11)) ),
    inference(forward_demodulation,[],[f2000,f1493]) ).

fof(f2000,plain,
    ( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e13,e12)) != op2(e23,h3(e12))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | sP7
    | h3(op1(e10,e13)) != op2(h3(e10),e23)
    | e21 != h3(e11)
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | sP8
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h4(e10) != h3(op1(e10,e10))
    | sP6
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e12,e13)) != op2(h3(e12),e23) ),
    inference(forward_demodulation,[],[f1999,f1493]) ).

fof(f1999,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | sP7
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | e21 != h3(e11)
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | sP6
    | h4(e10) != h3(op1(e10,e10))
    | h3(op1(e12,e13)) != op2(h3(e12),e23)
    | h3(op1(e13,e12)) != op2(e23,h3(e12))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | sP8
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11)) ),
    inference(forward_demodulation,[],[f1998,f1493]) ).

fof(f1998,plain,
    ( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | sP8
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | h3(op1(e13,e12)) != op2(e23,h3(e12))
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e12,e13)) != op2(h3(e12),e23)
    | sP6
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | e21 != h3(e11)
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h4(e10) != h3(op1(e10,e10))
    | sP7 ),
    inference(forward_demodulation,[],[f1997,f1617]) ).

fof(f1997,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | h3(op1(e13,e12)) != op2(e23,h3(e12))
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | sP6
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | sP7
    | sP8
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | e21 != h3(e11)
    | h3(op1(e12,e13)) != op2(h3(e12),e23)
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
    inference(forward_demodulation,[],[f1996,f1493]) ).

fof(f1996,plain,
    ( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | sP7
    | sP6
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | h3(op1(e12,e13)) != op2(h3(e12),e23)
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | sP8
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | h3(op1(e13,e12)) != op2(e23,h3(e12))
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | e21 != h3(e11)
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[],[f1995,f1493]) ).

fof(f1995,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | sP8
    | sP6
    | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | h3(op1(e13,e12)) != op2(e23,h3(e12))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | sP7
    | e21 != h3(e11)
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
    inference(forward_demodulation,[],[f245,f1493]) ).

fof(f245,plain,
    ( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
    | e21 != h3(e11)
    | sP6
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | sP7
    | sP8
    | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
    | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( ( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | ( e22 != h1(e10)
        & e22 != h1(e11)
        & e22 != h1(e12)
        & e22 != h1(e13) )
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | sP11
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | sP10
      | sP9
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) )
    & ( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( e21 != h3(e12)
        & e21 != h3(e10)
        & e21 != h3(e13)
        & e21 != h3(e11) )
      | sP8
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | sP7
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | sP6
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) )
    & ( ( e21 != h4(e10)
        & e21 != h4(e12)
        & e21 != h4(e13)
        & e21 != h4(e11) )
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | sP5
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | sP4
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | sP3
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) )
    & ( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | ( e22 != h2(e12)
        & e22 != h2(e11)
        & e22 != h2(e10)
        & e22 != h2(e13) )
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | sP2
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | sP1
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | sP0
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ) ),
    inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).

fof(f21,plain,
    ( ( e23 != h2(e10)
      & e23 != h2(e12)
      & e23 != h2(e11)
      & e23 != h2(e13) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f22,plain,
    ( ( e20 != h2(e13)
      & e20 != h2(e12)
      & e20 != h2(e11)
      & e20 != h2(e10) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f23,plain,
    ( ( e21 != h2(e13)
      & e21 != h2(e10)
      & e21 != h2(e12)
      & e21 != h2(e11) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f24,plain,
    ( ( e23 != h4(e11)
      & e23 != h4(e13)
      & e23 != h4(e12)
      & e23 != h4(e10) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f25,plain,
    ( ( e22 != h4(e11)
      & e22 != h4(e13)
      & e22 != h4(e12)
      & e22 != h4(e10) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f26,plain,
    ( ( e20 != h4(e10)
      & e20 != h4(e13)
      & e20 != h4(e12)
      & e20 != h4(e11) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f27,plain,
    ( ( e22 != h3(e12)
      & e22 != h3(e13)
      & e22 != h3(e11)
      & e22 != h3(e10) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f28,plain,
    ( ( e23 != h3(e10)
      & e23 != h3(e11)
      & e23 != h3(e12)
      & e23 != h3(e13) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f29,plain,
    ( ( e20 != h3(e12)
      & e20 != h3(e10)
      & e20 != h3(e13)
      & e20 != h3(e11) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f30,plain,
    ( ( e20 != h1(e12)
      & e20 != h1(e13)
      & e20 != h1(e11)
      & e20 != h1(e10) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f31,plain,
    ( ( e21 != h1(e12)
      & e21 != h1(e10)
      & e21 != h1(e13)
      & e21 != h1(e11) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f32,plain,
    ( ( e23 != h1(e12)
      & e23 != h1(e13)
      & e23 != h1(e10)
      & e23 != h1(e11) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f20,plain,
    ( ( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | ( e22 != h1(e10)
        & e22 != h1(e11)
        & e22 != h1(e12)
        & e22 != h1(e13) )
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | ( e23 != h1(e12)
        & e23 != h1(e13)
        & e23 != h1(e10)
        & e23 != h1(e11) )
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | ( e21 != h1(e12)
        & e21 != h1(e10)
        & e21 != h1(e13)
        & e21 != h1(e11) )
      | ( e20 != h1(e12)
        & e20 != h1(e13)
        & e20 != h1(e11)
        & e20 != h1(e10) )
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) )
    & ( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( e21 != h3(e12)
        & e21 != h3(e10)
        & e21 != h3(e13)
        & e21 != h3(e11) )
      | ( e20 != h3(e12)
        & e20 != h3(e10)
        & e20 != h3(e13)
        & e20 != h3(e11) )
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | ( e23 != h3(e10)
        & e23 != h3(e11)
        & e23 != h3(e12)
        & e23 != h3(e13) )
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | ( e22 != h3(e12)
        & e22 != h3(e13)
        & e22 != h3(e11)
        & e22 != h3(e10) )
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) )
    & ( ( e21 != h4(e10)
        & e21 != h4(e12)
        & e21 != h4(e13)
        & e21 != h4(e11) )
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | ( e20 != h4(e10)
        & e20 != h4(e13)
        & e20 != h4(e12)
        & e20 != h4(e11) )
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | ( e22 != h4(e11)
        & e22 != h4(e13)
        & e22 != h4(e12)
        & e22 != h4(e10) )
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | ( e23 != h4(e11)
        & e23 != h4(e13)
        & e23 != h4(e12)
        & e23 != h4(e10) )
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) )
    & ( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | ( e22 != h2(e12)
        & e22 != h2(e11)
        & e22 != h2(e10)
        & e22 != h2(e13) )
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | ( e21 != h2(e13)
        & e21 != h2(e10)
        & e21 != h2(e12)
        & e21 != h2(e11) )
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | ( e20 != h2(e13)
        & e20 != h2(e12)
        & e20 != h2(e11)
        & e20 != h2(e10) )
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( e23 != h2(e10)
        & e23 != h2(e12)
        & e23 != h2(e11)
        & e23 != h2(e13) )
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ( ( h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
        & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
        & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
        & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
        & h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
        & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
        & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
        & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
        & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
        & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
        & ( e23 = h1(e12)
          | e23 = h1(e11)
          | e23 = h1(e13)
          | e23 = h1(e10) )
        & ( e22 = h1(e12)
          | e22 = h1(e10)
          | e22 = h1(e11)
          | e22 = h1(e13) )
        & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
        & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
        & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
        & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
        & ( e20 = h1(e11)
          | e20 = h1(e10)
          | e20 = h1(e12)
          | e20 = h1(e13) )
        & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
        & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
        & ( e21 = h1(e11)
          | e21 = h1(e13)
          | e21 = h1(e10)
          | e21 = h1(e12) ) )
      | ( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
        & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
        & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
        & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
        & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
        & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
        & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
        & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
        & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
        & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
        & ( e23 = h3(e10)
          | e23 = h3(e13)
          | e23 = h3(e11)
          | e23 = h3(e12) )
        & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
        & ( e21 = h3(e11)
          | e21 = h3(e10)
          | e21 = h3(e13)
          | e21 = h3(e12) )
        & ( e20 = h3(e11)
          | e20 = h3(e12)
          | e20 = h3(e13)
          | e20 = h3(e10) )
        & ( e22 = h3(e12)
          | e22 = h3(e10)
          | e22 = h3(e13)
          | e22 = h3(e11) )
        & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
        & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
        & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
        & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
        & h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
      | ( h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & ( e23 = h4(e12)
          | e23 = h4(e11)
          | e23 = h4(e13)
          | e23 = h4(e10) )
        & ( e22 = h4(e12)
          | e22 = h4(e11)
          | e22 = h4(e13)
          | e22 = h4(e10) )
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & ( e21 = h4(e10)
          | e21 = h4(e12)
          | e21 = h4(e13)
          | e21 = h4(e11) )
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & ( e20 = h4(e12)
          | e20 = h4(e10)
          | e20 = h4(e13)
          | e20 = h4(e11) )
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
      | ( h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
        & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
        & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
        & ( e20 = h2(e10)
          | e20 = h2(e13)
          | e20 = h2(e11)
          | e20 = h2(e12) )
        & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
        & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
        & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
        & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
        & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
        & ( e22 = h2(e12)
          | e22 = h2(e11)
          | e22 = h2(e13)
          | e22 = h2(e10) )
        & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
        & h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
        & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
        & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
        & ( e23 = h2(e12)
          | e23 = h2(e10)
          | e23 = h2(e13)
          | e23 = h2(e11) )
        & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
        & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
        & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
        & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
        & ( e21 = h2(e10)
          | e21 = h2(e12)
          | e21 = h2(e11)
          | e21 = h2(e13) ) ) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ( ( h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & ( e23 = h1(e12)
        | e23 = h1(e11)
        | e23 = h1(e13)
        | e23 = h1(e10) )
      & ( e22 = h1(e12)
        | e22 = h1(e10)
        | e22 = h1(e11)
        | e22 = h1(e13) )
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & ( e20 = h1(e11)
        | e20 = h1(e10)
        | e20 = h1(e12)
        | e20 = h1(e13) )
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & ( e21 = h1(e11)
        | e21 = h1(e13)
        | e21 = h1(e10)
        | e21 = h1(e12) ) )
    | ( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & ( e23 = h3(e10)
        | e23 = h3(e13)
        | e23 = h3(e11)
        | e23 = h3(e12) )
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & ( e21 = h3(e11)
        | e21 = h3(e10)
        | e21 = h3(e13)
        | e21 = h3(e12) )
      & ( e20 = h3(e11)
        | e20 = h3(e12)
        | e20 = h3(e13)
        | e20 = h3(e10) )
      & ( e22 = h3(e12)
        | e22 = h3(e10)
        | e22 = h3(e13)
        | e22 = h3(e11) )
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
    | ( h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & ( e23 = h4(e12)
        | e23 = h4(e11)
        | e23 = h4(e13)
        | e23 = h4(e10) )
      & ( e22 = h4(e12)
        | e22 = h4(e11)
        | e22 = h4(e13)
        | e22 = h4(e10) )
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( e21 = h4(e10)
        | e21 = h4(e12)
        | e21 = h4(e13)
        | e21 = h4(e11) )
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & ( e20 = h4(e12)
        | e20 = h4(e10)
        | e20 = h4(e13)
        | e20 = h4(e11) )
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
    | ( h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & ( e20 = h2(e10)
        | e20 = h2(e13)
        | e20 = h2(e11)
        | e20 = h2(e12) )
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & ( e22 = h2(e12)
        | e22 = h2(e11)
        | e22 = h2(e13)
        | e22 = h2(e10) )
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & ( e23 = h2(e12)
        | e23 = h2(e10)
        | e23 = h2(e13)
        | e23 = h2(e11) )
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & ( e21 = h2(e10)
        | e21 = h2(e12)
        | e21 = h2(e11)
        | e21 = h2(e13) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1992,plain,
    ( spl20_206
    | spl20_18
    | spl20_84
    | spl20_83 ),
    inference(avatar_split_clause,[],[f296,f804,f808,f524,f1388]) ).

fof(f1388,plain,
    ( spl20_206
  <=> e23 = op2(e23,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_206])]) ).

fof(f804,plain,
    ( spl20_83
  <=> sP14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).

fof(f296,plain,
    ( sP14
    | e21 = op2(e21,e22)
    | e20 = op2(e20,e22)
    | e23 = op2(e23,e22) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ( ( e21 = op2(e21,e23)
        & e23 != op2(e23,e21) )
      | ( e20 = op2(e20,e23)
        & e23 != op2(e23,e20) )
      | ( e23 != op2(e23,e23)
        & e23 = op2(e23,e23) )
      | sP15 )
    & ( ( e23 = op2(e23,e22)
        & e22 != op2(e22,e23) )
      | ( e22 != op2(e22,e20)
        & e20 = op2(e20,e22) )
      | ( e21 = op2(e21,e22)
        & e22 != op2(e22,e21) )
      | sP14 )
    & ( ( e20 != op2(e20,e23)
        & e23 = op2(e23,e20) )
      | ( e20 != op2(e20,e20)
        & e20 = op2(e20,e20) )
      | ( e20 != op2(e20,e21)
        & e21 = op2(e21,e20) )
      | sP13 )
    & ( ( e21 = op2(e21,e21)
        & e21 != op2(e21,e21) )
      | ( e20 = op2(e20,e21)
        & e21 != op2(e21,e20) )
      | ( e21 != op2(e21,e23)
        & e23 = op2(e23,e21) )
      | sP12 ) ),
    inference(definition_folding,[],[f11,f37,f36,f35,f34]) ).

fof(f34,plain,
    ( ( e22 = op2(e22,e21)
      & e21 != op2(e21,e22) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f35,plain,
    ( ( e20 != op2(e20,e22)
      & e22 = op2(e22,e20) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f36,plain,
    ( ( e22 = op2(e22,e22)
      & e22 != op2(e22,e22) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f37,plain,
    ( ( e23 != op2(e23,e22)
      & e22 = op2(e22,e23) )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f11,axiom,
    ( ( ( e21 = op2(e21,e23)
        & e23 != op2(e23,e21) )
      | ( e20 = op2(e20,e23)
        & e23 != op2(e23,e20) )
      | ( e23 != op2(e23,e23)
        & e23 = op2(e23,e23) )
      | ( e23 != op2(e23,e22)
        & e22 = op2(e22,e23) ) )
    & ( ( e23 = op2(e23,e22)
        & e22 != op2(e22,e23) )
      | ( e22 != op2(e22,e20)
        & e20 = op2(e20,e22) )
      | ( e21 = op2(e21,e22)
        & e22 != op2(e22,e21) )
      | ( e22 = op2(e22,e22)
        & e22 != op2(e22,e22) ) )
    & ( ( e20 != op2(e20,e23)
        & e23 = op2(e23,e20) )
      | ( e20 != op2(e20,e20)
        & e20 = op2(e20,e20) )
      | ( e20 != op2(e20,e21)
        & e21 = op2(e21,e20) )
      | ( e20 != op2(e20,e22)
        & e22 = op2(e22,e20) ) )
    & ( ( e21 = op2(e21,e21)
        & e21 != op2(e21,e21) )
      | ( e20 = op2(e20,e21)
        & e21 != op2(e21,e20) )
      | ( e21 != op2(e21,e23)
        & e23 = op2(e23,e21) )
      | ( e22 = op2(e22,e21)
        & e21 != op2(e21,e22) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f1991,plain,
    ( spl20_88
    | spl20_121
    | spl20_115
    | spl20_43 ),
    inference(avatar_split_clause,[],[f162,f631,f947,f976,f826]) ).

fof(f162,plain,
    ( e21 = op2(e23,e21)
    | e20 = op2(e23,e21)
    | e23 = op2(e23,e21)
    | e22 = op2(e23,e21) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( e23 = op2(e22,e21)
      | e21 = op2(e22,e21)
      | e22 = op2(e22,e21)
      | e20 = op2(e22,e21) )
    & ( e22 = op2(e21,e20)
      | e23 = op2(e21,e20)
      | e20 = op2(e21,e20)
      | e21 = op2(e21,e20) )
    & ( op2(e20,e20) = e23
      | op2(e20,e20) = e22
      | op2(e20,e20) = e21
      | e20 = op2(e20,e20) )
    & ( e22 = op2(e21,e23)
      | e21 = op2(e21,e23)
      | e23 = op2(e21,e23)
      | e20 = op2(e21,e23) )
    & ( e21 = op2(e20,e23)
      | e23 = op2(e20,e23)
      | e20 = op2(e20,e23)
      | e22 = op2(e20,e23) )
    & ( e20 = op2(e20,e22)
      | e23 = op2(e20,e22)
      | e22 = op2(e20,e22)
      | e21 = op2(e20,e22) )
    & ( e23 = op2(e20,e21)
      | e20 = op2(e20,e21)
      | e22 = op2(e20,e21)
      | e21 = op2(e20,e21) )
    & ( e23 = op2(e22,e20)
      | e20 = op2(e22,e20)
      | e22 = op2(e22,e20)
      | e21 = op2(e22,e20) )
    & ( e22 = op2(e22,e23)
      | e21 = op2(e22,e23)
      | e23 = op2(e22,e23)
      | e20 = op2(e22,e23) )
    & ( e23 = op2(e23,e23)
      | e22 = op2(e23,e23)
      | e20 = op2(e23,e23)
      | e21 = op2(e23,e23) )
    & ( e21 = op2(e23,e21)
      | e23 = op2(e23,e21)
      | e22 = op2(e23,e21)
      | e20 = op2(e23,e21) )
    & ( e20 = op2(e21,e21)
      | e21 = op2(e21,e21)
      | e22 = op2(e21,e21)
      | e23 = op2(e21,e21) )
    & ( e22 = op2(e21,e22)
      | e21 = op2(e21,e22)
      | e20 = op2(e21,e22)
      | e23 = op2(e21,e22) )
    & ( e23 = op2(e23,e22)
      | e22 = op2(e23,e22)
      | e20 = op2(e23,e22)
      | e21 = op2(e23,e22) )
    & ( e22 = op2(e22,e22)
      | e21 = op2(e22,e22)
      | e20 = op2(e22,e22)
      | e23 = op2(e22,e22) )
    & ( e22 = op2(e23,e20)
      | e21 = op2(e23,e20)
      | e23 = op2(e23,e20)
      | e20 = op2(e23,e20) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f1971,plain,
    spl20_209,
    inference(avatar_split_clause,[],[f256,f1413]) ).

fof(f256,plain,
    e22 = h3(e12),
    inference(cnf_transformation,[],[f16]) ).

fof(f1962,plain,
    ( spl20_52
    | spl20_11
    | spl20_27
    | spl20_98 ),
    inference(avatar_split_clause,[],[f146,f870,f563,f494,f671]) ).

fof(f146,plain,
    ( e11 = op1(e11,e12)
    | e11 = op1(e11,e10)
    | e11 = op1(e11,e11)
    | e11 = op1(e11,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1961,plain,
    ~ spl20_213,
    inference(avatar_split_clause,[],[f123,f1438]) ).

fof(f123,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f8]) ).

fof(f1960,plain,
    ( ~ spl20_53
    | ~ spl20_11 ),
    inference(avatar_split_clause,[],[f413,f494,f675]) ).

fof(f413,plain,
    ( e11 != op1(e11,e11)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f1953,plain,
    ( spl20_85
    | spl20_200
    | spl20_195
    | spl20_30 ),
    inference(avatar_split_clause,[],[f164,f576,f1331,f1356,f812]) ).

fof(f1356,plain,
    ( spl20_200
  <=> e23 = op2(e22,e23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_200])]) ).

fof(f164,plain,
    ( e20 = op2(e22,e23)
    | e21 = op2(e22,e23)
    | e23 = op2(e22,e23)
    | e22 = op2(e22,e23) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1923,plain,
    ( spl20_107
    | spl20_98
    | spl20_211
    | spl20_132 ),
    inference(avatar_split_clause,[],[f352,f1027,f1426,f870,f911]) ).

fof(f352,plain,
    ( e13 = op1(e11,e12)
    | e10 = op1(e11,e12)
    | e11 = op1(e11,e12)
    | e12 = op1(e11,e12) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1922,plain,
    ~ spl20_200,
    inference(avatar_split_clause,[],[f1921,f1356]) ).

fof(f1921,plain,
    e23 != op2(e22,e23),
    inference(forward_demodulation,[],[f363,f1498]) ).

fof(f363,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f1920,plain,
    ~ spl20_206,
    inference(avatar_split_clause,[],[f1919,f1388]) ).

fof(f1919,plain,
    e23 != op2(e23,e22),
    inference(forward_demodulation,[],[f405,f1498]) ).

fof(f405,plain,
    op2(e22,e22) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f1917,plain,
    ~ spl20_233,
    inference(avatar_split_clause,[],[f120,f1573]) ).

fof(f120,plain,
    e20 != e22,
    inference(cnf_transformation,[],[f8]) ).

fof(f1893,plain,
    ( spl20_208
    | spl20_48
    | spl20_16
    | spl20_217 ),
    inference(avatar_split_clause,[],[f166,f1466,f515,f653,f1406]) ).

fof(f166,plain,
    ( e23 = op2(e20,e21)
    | e20 = op2(e20,e21)
    | e22 = op2(e20,e21)
    | e21 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1814,plain,
    ~ spl20_2,
    inference(avatar_split_clause,[],[f1813,f455]) ).

fof(f1813,plain,
    ~ sP7,
    inference(subsumption_resolution,[],[f205,f1493]) ).

fof(f205,plain,
    ( e23 != h3(e13)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( ( e23 != h3(e10)
      & e23 != h3(e11)
      & e23 != h3(e12)
      & e23 != h3(e13) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f1797,plain,
    ( spl20_191
    | spl20_210
    | spl20_84
    | spl20_112 ),
    inference(avatar_split_clause,[],[f160,f933,f808,f1421,f1305]) ).

fof(f1305,plain,
    ( spl20_191
  <=> e23 = op2(e21,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_191])]) ).

fof(f160,plain,
    ( e22 = op2(e21,e22)
    | e21 = op2(e21,e22)
    | e20 = op2(e21,e22)
    | e23 = op2(e21,e22) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1792,plain,
    ( spl20_130
    | spl20_3
    | spl20_99
    | spl20_51 ),
    inference(avatar_split_clause,[],[f447,f666,f874,f460,f1019]) ).

fof(f874,plain,
    ( spl20_99
  <=> sP19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_99])]) ).

fof(f447,plain,
    ( e10 = op1(e10,e12)
    | sP19
    | e12 = op1(e12,e12)
    | e13 = op1(e13,e12) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ( ( e12 = op1(e12,e12)
        & e12 != op1(e12,e12) )
      | ( e12 != op1(e12,e13)
        & e13 = op1(e13,e12) )
      | ( e10 = op1(e10,e12)
        & e12 != op1(e12,e10) )
      | sP19 )
    & ( ( e13 = op1(e13,e11)
        & e11 != op1(e11,e13) )
      | ( e10 = op1(e10,e11)
        & e11 != op1(e11,e10) )
      | ( e11 != op1(e11,e12)
        & e12 = op1(e12,e11) )
      | sP18 )
    & ( ( e10 != op1(e10,e11)
        & e11 = op1(e11,e10) )
      | ( e13 = op1(e13,e10)
        & e10 != op1(e10,e13) )
      | ( e12 = op1(e12,e10)
        & e10 != op1(e10,e12) )
      | sP17 )
    & ( ( e13 != op1(e13,e12)
        & e12 = op1(e12,e13) )
      | ( e11 = op1(e11,e13)
        & e13 != op1(e13,e11) )
      | ( e13 != op1(e13,e10)
        & e10 = op1(e10,e13) )
      | sP16 ) ),
    inference(definition_folding,[],[f10,f42,f41,f40,f39]) ).

fof(f39,plain,
    ( ( e13 != op1(e13,e13)
      & e13 = op1(e13,e13) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f40,plain,
    ( ( e10 != op1(e10,e10)
      & e10 = op1(e10,e10) )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f42,plain,
    ( ( e12 != op1(e12,e11)
      & e11 = op1(e11,e12) )
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f10,axiom,
    ( ( ( e12 = op1(e12,e12)
        & e12 != op1(e12,e12) )
      | ( e12 != op1(e12,e13)
        & e13 = op1(e13,e12) )
      | ( e10 = op1(e10,e12)
        & e12 != op1(e12,e10) )
      | ( e12 != op1(e12,e11)
        & e11 = op1(e11,e12) ) )
    & ( ( e13 = op1(e13,e11)
        & e11 != op1(e11,e13) )
      | ( e10 = op1(e10,e11)
        & e11 != op1(e11,e10) )
      | ( e11 != op1(e11,e12)
        & e12 = op1(e12,e11) )
      | ( e11 != op1(e11,e11)
        & e11 = op1(e11,e11) ) )
    & ( ( e10 != op1(e10,e11)
        & e11 = op1(e11,e10) )
      | ( e13 = op1(e13,e10)
        & e10 != op1(e10,e13) )
      | ( e12 = op1(e12,e10)
        & e10 != op1(e10,e12) )
      | ( e10 != op1(e10,e10)
        & e10 = op1(e10,e10) ) )
    & ( ( e13 != op1(e13,e12)
        & e12 = op1(e12,e13) )
      | ( e11 = op1(e11,e13)
        & e13 != op1(e13,e11) )
      | ( e13 != op1(e13,e10)
        & e10 = op1(e10,e13) )
      | ( e13 != op1(e13,e13)
        & e13 = op1(e13,e13) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f1782,plain,
    ( ~ spl20_27
    | spl20_53
    | spl20_6
    | spl20_57 ),
    inference(avatar_split_clause,[],[f438,f694,f472,f675,f563]) ).

fof(f438,plain,
    ( e13 = op1(e13,e11)
    | e12 = op1(e12,e11)
    | sP18
    | e11 != op1(e11,e10) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f1780,plain,
    ( spl20_262
    | spl20_84
    | spl20_41 ),
    inference(avatar_split_clause,[],[f1775,f623,f808,f1777]) ).

fof(f1775,plain,
    ( e21 = op2(e23,e22)
    | e21 = op2(e21,e22)
    | e21 = op2(e20,e22) ),
    inference(subsumption_resolution,[],[f1774,f122]) ).

fof(f1774,plain,
    ( e21 = op2(e20,e22)
    | e21 = op2(e21,e22)
    | e21 = op2(e23,e22)
    | e21 = e23 ),
    inference(forward_demodulation,[],[f327,f1498]) ).

fof(f327,plain,
    ( e21 = op2(e22,e22)
    | e21 = op2(e21,e22)
    | e21 = op2(e20,e22)
    | e21 = op2(e23,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( ( e20 = op2(e20,e20)
      | e20 = op2(e20,e21)
      | e20 = op2(e20,e22)
      | e20 = op2(e20,e23) )
    & ( e23 = op2(e20,e23)
      | e23 = op2(e21,e23)
      | e23 = op2(e23,e23)
      | e23 = op2(e22,e23) )
    & ( e21 = op2(e23,e23)
      | e21 = op2(e23,e20)
      | e21 = op2(e23,e22)
      | e21 = op2(e23,e21) )
    & ( op2(e20,e20) = e23
      | e23 = op2(e20,e21)
      | e23 = op2(e20,e22)
      | e23 = op2(e20,e23) )
    & ( e20 = op2(e23,e21)
      | e20 = op2(e23,e23)
      | e20 = op2(e23,e22)
      | e20 = op2(e23,e20) )
    & ( e22 = op2(e22,e21)
      | e22 = op2(e22,e23)
      | e22 = op2(e22,e20)
      | e22 = op2(e22,e22) )
    & ( e22 = op2(e20,e22)
      | e22 = op2(e20,e21)
      | op2(e20,e20) = e22
      | e22 = op2(e20,e23) )
    & ( e20 = op2(e20,e22)
      | e20 = op2(e23,e22)
      | e20 = op2(e21,e22)
      | e20 = op2(e22,e22) )
    & ( e22 = op2(e21,e22)
      | e22 = op2(e23,e22)
      | e22 = op2(e20,e22)
      | e22 = op2(e22,e22) )
    & ( e21 = op2(e20,e23)
      | e21 = op2(e23,e23)
      | e21 = op2(e21,e23)
      | e21 = op2(e22,e23) )
    & ( e21 = op2(e22,e20)
      | e21 = op2(e22,e23)
      | e21 = op2(e22,e22)
      | e21 = op2(e22,e21) )
    & ( e21 = op2(e23,e22)
      | e21 = op2(e22,e22)
      | e21 = op2(e21,e22)
      | e21 = op2(e20,e22) )
    & ( e23 = op2(e20,e22)
      | e23 = op2(e22,e22)
      | e23 = op2(e21,e22)
      | e23 = op2(e23,e22) )
    & ( e20 = op2(e22,e20)
      | e20 = op2(e22,e23)
      | e20 = op2(e22,e22)
      | e20 = op2(e22,e21) )
    & ( e22 = op2(e23,e20)
      | e22 = op2(e23,e21)
      | e22 = op2(e23,e22)
      | e22 = op2(e23,e23) )
    & ( e20 = op2(e22,e21)
      | e20 = op2(e20,e21)
      | e20 = op2(e21,e21)
      | e20 = op2(e23,e21) )
    & ( e21 = op2(e20,e21)
      | e21 = op2(e23,e21)
      | e21 = op2(e22,e21)
      | e21 = op2(e21,e21) )
    & ( e20 = op2(e21,e20)
      | e20 = op2(e21,e21)
      | e20 = op2(e21,e22)
      | e20 = op2(e21,e23) )
    & ( e23 = op2(e23,e21)
      | e23 = op2(e23,e22)
      | e23 = op2(e23,e20)
      | e23 = op2(e23,e23) )
    & ( e22 = op2(e23,e20)
      | op2(e20,e20) = e22
      | e22 = op2(e22,e20)
      | e22 = op2(e21,e20) )
    & ( e21 = op2(e21,e20)
      | e21 = op2(e21,e23)
      | e21 = op2(e21,e21)
      | e21 = op2(e21,e22) )
    & ( e22 = op2(e20,e23)
      | e22 = op2(e23,e23)
      | e22 = op2(e21,e23)
      | e22 = op2(e22,e23) )
    & ( e20 = op2(e20,e23)
      | e20 = op2(e22,e23)
      | e20 = op2(e23,e23)
      | e20 = op2(e21,e23) )
    & ( e20 = op2(e20,e20)
      | e20 = op2(e23,e20)
      | e20 = op2(e21,e20)
      | e20 = op2(e22,e20) )
    & ( e23 = op2(e21,e20)
      | e23 = op2(e23,e20)
      | op2(e20,e20) = e23
      | e23 = op2(e22,e20) )
    & ( e23 = op2(e22,e20)
      | e23 = op2(e22,e22)
      | e23 = op2(e22,e21)
      | e23 = op2(e22,e23) )
    & ( e21 = op2(e20,e21)
      | e21 = op2(e20,e22)
      | op2(e20,e20) = e21
      | e21 = op2(e20,e23) )
    & ( e21 = op2(e22,e20)
      | e21 = op2(e23,e20)
      | op2(e20,e20) = e21
      | e21 = op2(e21,e20) )
    & ( e22 = op2(e21,e20)
      | e22 = op2(e21,e23)
      | e22 = op2(e21,e21)
      | e22 = op2(e21,e22) )
    & ( e23 = op2(e21,e20)
      | e23 = op2(e21,e21)
      | e23 = op2(e21,e22)
      | e23 = op2(e21,e23) )
    & ( e23 = op2(e20,e21)
      | e23 = op2(e22,e21)
      | e23 = op2(e21,e21)
      | e23 = op2(e23,e21) )
    & ( e22 = op2(e20,e21)
      | e22 = op2(e22,e21)
      | e22 = op2(e23,e21)
      | e22 = op2(e21,e21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f1773,plain,
    ( spl20_39
    | spl20_214
    | spl20_211
    | spl20_93 ),
    inference(avatar_split_clause,[],[f143,f847,f1426,f1447,f614]) ).

fof(f143,plain,
    ( e10 = op1(e11,e10)
    | e10 = op1(e11,e12)
    | e10 = op1(e11,e13)
    | e10 = op1(e11,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1772,plain,
    ( ~ spl20_83
    | spl20_258 ),
    inference(avatar_split_clause,[],[f1771,f1725,f804]) ).

fof(f1771,plain,
    ( e22 = e23
    | ~ sP14 ),
    inference(forward_demodulation,[],[f270,f1498]) ).

fof(f270,plain,
    ( e22 = op2(e22,e22)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ( e22 = op2(e22,e22)
      & e22 != op2(e22,e22) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f36]) ).

fof(f1767,plain,
    spl20_35,
    inference(avatar_split_clause,[],[f341,f597]) ).

fof(f341,plain,
    e13 = op1(e12,e12),
    inference(cnf_transformation,[],[f12]) ).

fof(f1766,plain,
    ( spl20_15
    | spl20_117
    | spl20_120
    | spl20_126 ),
    inference(avatar_split_clause,[],[f1765,f1001,f972,f956,f511]) ).

fof(f511,plain,
    ( spl20_15
  <=> sP13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).

fof(f1765,plain,
    ( e20 = h1(e13)
    | e23 = op2(e23,e20)
    | e21 = op2(e21,e20)
    | sP13 ),
    inference(forward_demodulation,[],[f283,f361]) ).

fof(f283,plain,
    ( e20 = op2(e20,e20)
    | sP13
    | e21 = op2(e21,e20)
    | e23 = op2(e23,e20) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f1762,plain,
    ( spl20_207
    | spl20_32
    | spl20_219
    | spl20_50 ),
    inference(avatar_split_clause,[],[f127,f662,f1478,f585,f1399]) ).

fof(f127,plain,
    ( e13 = op1(e13,e10)
    | op1(e10,e10) = e13
    | e13 = op1(e12,e10)
    | e13 = op1(e11,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1751,plain,
    ~ spl20_218,
    inference(avatar_split_clause,[],[f1750,f1470]) ).

fof(f1470,plain,
    ( spl20_218
  <=> e23 = op2(e20,e22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_218])]) ).

fof(f1750,plain,
    e23 != op2(e20,e22),
    inference(forward_demodulation,[],[f365,f1498]) ).

fof(f365,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f1749,plain,
    ( spl20_90
    | ~ spl20_116 ),
    inference(avatar_split_clause,[],[f274,f952,f834]) ).

fof(f952,plain,
    ( spl20_116
  <=> sP12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_116])]) ).

fof(f274,plain,
    ( ~ sP12
    | e22 = op2(e22,e21) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( e22 = op2(e22,e21)
      & e21 != op2(e21,e22) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f34]) ).

fof(f1734,plain,
    ( spl20_116
    | ~ spl20_179
    | spl20_121
    | spl20_16 ),
    inference(avatar_split_clause,[],[f1733,f515,f976,f1236,f952]) ).

fof(f1733,plain,
    ( e20 = op2(e20,e21)
    | e23 = op2(e23,e21)
    | e21 != h2(e13)
    | sP12 ),
    inference(forward_demodulation,[],[f277,f265]) ).

fof(f277,plain,
    ( sP12
    | e23 = op2(e23,e21)
    | e20 = op2(e20,e21)
    | e21 != op2(e21,e21) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f1729,plain,
    ~ spl20_258,
    inference(avatar_split_clause,[],[f121,f1725]) ).

fof(f121,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f1714,plain,
    ( spl20_52
    | spl20_63
    | spl20_214
    | spl20_124 ),
    inference(avatar_split_clause,[],[f342,f992,f1447,f722,f671]) ).

fof(f342,plain,
    ( e12 = op1(e11,e13)
    | e10 = op1(e11,e13)
    | e13 = op1(e11,e13)
    | e11 = op1(e11,e13) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1712,plain,
    ( spl20_111
    | spl20_190
    | spl20_156
    | spl20_117 ),
    inference(avatar_split_clause,[],[f171,f956,f1131,f1301,f929]) ).

fof(f171,plain,
    ( e21 = op2(e21,e20)
    | e20 = op2(e21,e20)
    | e23 = op2(e21,e20)
    | e22 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1711,plain,
    ( spl20_185
    | spl20_210
    | spl20_18 ),
    inference(avatar_split_clause,[],[f1710,f524,f1421,f1269]) ).

fof(f1710,plain,
    ( e20 = op2(e20,e22)
    | e20 = op2(e21,e22)
    | e20 = op2(e23,e22) ),
    inference(subsumption_resolution,[],[f1709,f119]) ).

fof(f119,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f1709,plain,
    ( e20 = op2(e21,e22)
    | e20 = op2(e23,e22)
    | e20 = e23
    | e20 = op2(e20,e22) ),
    inference(forward_demodulation,[],[f331,f1498]) ).

fof(f331,plain,
    ( e20 = op2(e22,e22)
    | e20 = op2(e20,e22)
    | e20 = op2(e23,e22)
    | e20 = op2(e21,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1632,plain,
    ( spl20_100
    | spl20_133
    | spl20_129
    | spl20_98 ),
    inference(avatar_split_clause,[],[f134,f870,f1014,f1032,f880]) ).

fof(f134,plain,
    ( e11 = op1(e11,e12)
    | e11 = op1(e12,e12)
    | e11 = op1(e10,e12)
    | e11 = op1(e13,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1625,plain,
    ( spl20_155
    | spl20_243
    | spl20_120
    | spl20_42 ),
    inference(avatar_split_clause,[],[f157,f627,f972,f1622,f1127]) ).

fof(f157,plain,
    ( e21 = op2(e23,e20)
    | e23 = op2(e23,e20)
    | e22 = op2(e23,e20)
    | e20 = op2(e23,e20) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1613,plain,
    ( spl20_154
    | spl20_4
    | spl20_52
    | spl20_44 ),
    inference(avatar_split_clause,[],[f420,f636,f671,f464,f1120]) ).

fof(f636,plain,
    ( spl20_44
  <=> sP16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).

fof(f420,plain,
    ( sP16
    | e11 = op1(e11,e13)
    | e12 = op1(e12,e13)
    | e10 = op1(e10,e13) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f1534,plain,
    ( spl20_33
    | spl20_38
    | spl20_6
    | spl20_13 ),
    inference(avatar_split_clause,[],[f356,f502,f472,f610,f589]) ).

fof(f356,plain,
    ( e11 = op1(e12,e11)
    | e12 = op1(e12,e11)
    | e10 = op1(e12,e11)
    | e13 = op1(e12,e11) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1532,plain,
    ( spl20_225
    | spl20_108
    | spl20_123
    | spl20_22 ),
    inference(avatar_split_clause,[],[f135,f542,f988,f915,f1529]) ).

fof(f135,plain,
    ( e12 = op1(e10,e11)
    | e12 = op1(e10,e13)
    | e12 = op1(e10,e12)
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1503,plain,
    spl20_188,
    inference(avatar_split_clause,[],[f1502,f1286]) ).

fof(f1502,plain,
    e20 = h4(e13),
    inference(forward_demodulation,[],[f1497,f116]) ).

fof(f1497,plain,
    e20 = op2(e23,e23),
    inference(backward_demodulation,[],[f1143,f1493]) ).

fof(f1501,plain,
    ~ spl20_191,
    inference(avatar_split_clause,[],[f1494,f1305]) ).

fof(f1494,plain,
    e23 != op2(e21,e22),
    inference(backward_demodulation,[],[f1411,f1493]) ).

fof(f1411,plain,
    op2(e21,e22) != h3(e13),
    inference(forward_demodulation,[],[f380,f255]) ).

fof(f380,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f1473,plain,
    ( spl20_217
    | spl20_9
    | spl20_218
    | spl20_182 ),
    inference(avatar_split_clause,[],[f1464,f1256,f1470,f485,f1466]) ).

fof(f1464,plain,
    ( e23 = h1(e13)
    | e23 = op2(e20,e22)
    | e23 = op2(e20,e23)
    | e23 = op2(e20,e21) ),
    inference(forward_demodulation,[],[f335,f361]) ).

fof(f335,plain,
    ( e23 = op2(e20,e23)
    | e23 = op2(e20,e21)
    | op2(e20,e20) = e23
    | e23 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1424,plain,
    ( spl20_180
    | spl20_186
    | spl20_156
    | spl20_210 ),
    inference(avatar_split_clause,[],[f1419,f1421,f1131,f1276,f1240]) ).

fof(f1419,plain,
    ( e20 = op2(e21,e22)
    | e20 = op2(e21,e20)
    | e20 = op2(e21,e23)
    | e20 = h2(e13) ),
    inference(forward_demodulation,[],[f321,f265]) ).

fof(f321,plain,
    ( e20 = op2(e21,e21)
    | e20 = op2(e21,e20)
    | e20 = op2(e21,e22)
    | e20 = op2(e21,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1416,plain,
    ( ~ spl20_209
    | ~ spl20_65 ),
    inference(avatar_split_clause,[],[f212,f731,f1413]) ).

fof(f212,plain,
    ( ~ sP6
    | e22 != h3(e12) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ( e22 != h3(e12)
      & e22 != h3(e13)
      & e22 != h3(e11)
      & e22 != h3(e10) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f1409,plain,
    ( spl20_196
    | spl20_179
    | spl20_43
    | spl20_208 ),
    inference(avatar_split_clause,[],[f1404,f1406,f631,f1236,f1335]) ).

fof(f1404,plain,
    ( e21 = op2(e20,e21)
    | e21 = op2(e23,e21)
    | e21 = h2(e13)
    | e21 = op2(e22,e21) ),
    inference(forward_demodulation,[],[f322,f265]) ).

fof(f322,plain,
    ( e21 = op2(e20,e21)
    | e21 = op2(e22,e21)
    | e21 = op2(e21,e21)
    | e21 = op2(e23,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1394,plain,
    ( spl20_116
    | spl20_121
    | spl20_16
    | spl20_179 ),
    inference(avatar_split_clause,[],[f1393,f1236,f515,f976,f952]) ).

fof(f1393,plain,
    ( e21 = h2(e13)
    | e20 = op2(e20,e21)
    | e23 = op2(e23,e21)
    | sP12 ),
    inference(forward_demodulation,[],[f281,f265]) ).

fof(f281,plain,
    ( e20 = op2(e20,e21)
    | e21 = op2(e21,e21)
    | sP12
    | e23 = op2(e23,e21) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f1283,plain,
    ( spl20_62
    | spl20_186
    | spl20_187
    | spl20_105 ),
    inference(avatar_split_clause,[],[f169,f902,f1280,f1276,f717]) ).

fof(f169,plain,
    ( e22 = op2(e21,e23)
    | e23 = op2(e21,e23)
    | e20 = op2(e21,e23)
    | e21 = op2(e21,e23) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1246,plain,
    ( spl20_179
    | spl20_121
    | ~ spl20_117
    | spl20_116 ),
    inference(avatar_split_clause,[],[f1245,f952,f956,f976,f1236]) ).

fof(f1245,plain,
    ( sP12
    | e21 != op2(e21,e20)
    | e23 = op2(e23,e21)
    | e21 = h2(e13) ),
    inference(forward_demodulation,[],[f279,f265]) ).

fof(f279,plain,
    ( e23 = op2(e23,e21)
    | e21 = op2(e21,e21)
    | sP12
    | e21 != op2(e21,e20) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f1244,plain,
    ( ~ spl20_49
    | spl20_91 ),
    inference(avatar_split_clause,[],[f414,f839,f658]) ).

fof(f658,plain,
    ( spl20_49
  <=> sP17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).

fof(f414,plain,
    ( e10 = op1(e10,e10)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ( e10 != op1(e10,e10)
      & e10 = op1(e10,e10) )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f40]) ).

fof(f1243,plain,
    ( spl20_179
    | spl20_96
    | spl20_180
    | spl20_146 ),
    inference(avatar_split_clause,[],[f1234,f1087,f1240,f860,f1236]) ).

fof(f1234,plain,
    ( e22 = h2(e13)
    | e20 = h2(e13)
    | e23 = h2(e13)
    | e21 = h2(e13) ),
    inference(forward_demodulation,[],[f1233,f265]) ).

fof(f1233,plain,
    ( e23 = h2(e13)
    | e20 = h2(e13)
    | e22 = op2(e21,e21)
    | e21 = h2(e13) ),
    inference(forward_demodulation,[],[f1232,f265]) ).

fof(f1232,plain,
    ( e21 = h2(e13)
    | e23 = op2(e21,e21)
    | e22 = op2(e21,e21)
    | e20 = h2(e13) ),
    inference(forward_demodulation,[],[f1231,f265]) ).

fof(f1231,plain,
    ( e20 = op2(e21,e21)
    | e21 = h2(e13)
    | e23 = op2(e21,e21)
    | e22 = op2(e21,e21) ),
    inference(forward_demodulation,[],[f161,f265]) ).

fof(f161,plain,
    ( e21 = op2(e21,e21)
    | e22 = op2(e21,e21)
    | e20 = op2(e21,e21)
    | e23 = op2(e21,e21) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1148,plain,
    ( ~ spl20_158
    | ~ spl20_20 ),
    inference(avatar_split_clause,[],[f203,f533,f1145]) ).

fof(f203,plain,
    ( ~ sP8
    | e20 != h3(e10) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ( e20 != h3(e12)
      & e20 != h3(e10)
      & e20 != h3(e13)
      & e20 != h3(e11) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f1141,plain,
    ( spl20_53
    | spl20_6
    | spl20_57
    | spl20_37 ),
    inference(avatar_split_clause,[],[f440,f606,f694,f472,f675]) ).

fof(f440,plain,
    ( e10 = op1(e10,e11)
    | e13 = op1(e13,e11)
    | e12 = op1(e12,e11)
    | sP18 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f1135,plain,
    ( ~ spl20_116
    | ~ spl20_84 ),
    inference(avatar_split_clause,[],[f273,f808,f952]) ).

fof(f273,plain,
    ( e21 != op2(e21,e22)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f1134,plain,
    ( spl20_126
    | spl20_155
    | spl20_156
    | spl20_29 ),
    inference(avatar_split_clause,[],[f1125,f572,f1131,f1127,f1001]) ).

fof(f1125,plain,
    ( e20 = op2(e22,e20)
    | e20 = op2(e21,e20)
    | e20 = op2(e23,e20)
    | e20 = h1(e13) ),
    inference(forward_demodulation,[],[f315,f361]) ).

fof(f315,plain,
    ( e20 = op2(e23,e20)
    | e20 = op2(e22,e20)
    | e20 = op2(e21,e20)
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f1124,plain,
    ( spl20_133
    | spl20_131
    | spl20_51
    | spl20_108 ),
    inference(avatar_split_clause,[],[f357,f915,f666,f1023,f1032]) ).

fof(f357,plain,
    ( e12 = op1(e10,e12)
    | e10 = op1(e10,e12)
    | e13 = op1(e10,e12)
    | e11 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f950,plain,
    ( spl20_16
    | spl20_114
    | spl20_31
    | spl20_115 ),
    inference(avatar_split_clause,[],[f323,f947,f580,f943,f515]) ).

fof(f323,plain,
    ( e20 = op2(e23,e21)
    | e20 = op2(e22,e21)
    | e20 = op2(e21,e21)
    | e20 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f877,plain,
    ( spl20_98
    | ~ spl20_99 ),
    inference(avatar_split_clause,[],[f410,f874,f870]) ).

fof(f410,plain,
    ( ~ sP19
    | e11 = op1(e11,e12) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e12 != op1(e12,e11)
      & e11 = op1(e11,e12) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f42]) ).

fof(f868,plain,
    ( spl20_97
    | ~ spl20_15 ),
    inference(avatar_split_clause,[],[f271,f511,f865]) ).

fof(f271,plain,
    ( ~ sP13
    | e22 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( e20 != op2(e20,e22)
      & e22 = op2(e22,e20) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f35]) ).

fof(f698,plain,
    ( ~ spl20_51
    | spl20_50
    | spl20_49
    | spl20_27 ),
    inference(avatar_split_clause,[],[f428,f563,f658,f662,f666]) ).

fof(f428,plain,
    ( e11 = op1(e11,e10)
    | sP17
    | e13 = op1(e13,e10)
    | e10 != op1(e10,e12) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f643,plain,
    ( ~ spl20_44
    | spl20_45 ),
    inference(avatar_split_clause,[],[f416,f640,f636]) ).

fof(f416,plain,
    ( e13 = op1(e13,e13)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( ( e13 != op1(e13,e13)
      & e13 = op1(e13,e13) )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 14:58:50 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.51  % (29982)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)
% 0.19/0.51  % (29974)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)
% 0.19/0.51  % (29968)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (29966)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)
% 0.19/0.51  % (29976)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)
% 0.19/0.52  % (29965)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)
% 0.19/0.52  % (29968)Instruction limit reached!
% 0.19/0.52  % (29968)------------------------------
% 0.19/0.52  % (29968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29960)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)
% 0.19/0.52  % (29968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29968)Termination reason: Unknown
% 0.19/0.52  % (29968)Termination phase: Preprocessing 2
% 0.19/0.53  
% 0.19/0.53  % (29968)Memory used [KB]: 1023
% 0.19/0.53  % (29968)Time elapsed: 0.003 s
% 0.19/0.53  % (29968)Instructions burned: 2 (million)
% 0.19/0.53  % (29968)------------------------------
% 0.19/0.53  % (29968)------------------------------
% 0.19/0.53  % (29964)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (29961)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)
% 0.19/0.53  % (29962)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)
% 0.19/0.53  % (29989)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)
% 0.19/0.53  % (29984)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (29987)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)
% 1.38/0.53  % (29963)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)
% 1.38/0.53  % (29975)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)
% 1.38/0.54  % (29973)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.38/0.54  % (29988)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.38/0.54  % (29985)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.38/0.54  % (29986)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)
% 1.38/0.54  % (29983)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)
% 1.38/0.54  % (29978)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.54  % (29979)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)
% 1.38/0.54  % (29977)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.38/0.54  % (29980)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.38/0.54  % (29967)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.55  % (29967)Instruction limit reached!
% 1.38/0.55  % (29967)------------------------------
% 1.38/0.55  % (29967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55  % (29967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55  % (29967)Termination reason: Unknown
% 1.38/0.55  % (29967)Termination phase: Property scanning
% 1.38/0.55  
% 1.38/0.55  % (29967)Memory used [KB]: 1151
% 1.38/0.55  % (29967)Time elapsed: 0.004 s
% 1.38/0.55  % (29967)Instructions burned: 8 (million)
% 1.38/0.55  % (29967)------------------------------
% 1.38/0.55  % (29967)------------------------------
% 1.53/0.55  % (29981)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.53/0.55  % (29972)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.53/0.55  % (29969)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)
% 1.53/0.55  % (29970)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.53/0.55  % (29971)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)
% 1.53/0.58  % (29962)Instruction limit reached!
% 1.53/0.58  % (29962)------------------------------
% 1.53/0.58  % (29962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58  % (29962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58  % (29962)Termination reason: Unknown
% 1.53/0.58  % (29962)Termination phase: Saturation
% 1.53/0.58  
% 1.53/0.58  % (29962)Memory used [KB]: 1279
% 1.53/0.58  % (29962)Time elapsed: 0.018 s
% 1.53/0.58  % (29962)Instructions burned: 37 (million)
% 1.53/0.58  % (29962)------------------------------
% 1.53/0.58  % (29962)------------------------------
% 1.53/0.59  % (29966)Instruction limit reached!
% 1.53/0.59  % (29966)------------------------------
% 1.53/0.59  % (29966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59  % (29966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59  % (29966)Termination reason: Unknown
% 1.53/0.59  % (29966)Termination phase: Finite model building preprocessing
% 1.53/0.59  
% 1.53/0.59  % (29966)Memory used [KB]: 2558
% 1.53/0.59  % (29966)Time elapsed: 0.025 s
% 1.53/0.59  % (29966)Instructions burned: 53 (million)
% 1.53/0.59  % (29966)------------------------------
% 1.53/0.59  % (29966)------------------------------
% 1.53/0.59  % (29964)Instruction limit reached!
% 1.53/0.59  % (29964)------------------------------
% 1.53/0.59  % (29964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59  % (29964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59  % (29964)Termination reason: Unknown
% 1.53/0.59  % (29964)Termination phase: Saturation
% 1.53/0.59  
% 1.53/0.59  % (29964)Memory used [KB]: 6652
% 1.53/0.59  % (29964)Time elapsed: 0.022 s
% 1.53/0.59  % (29964)Instructions burned: 51 (million)
% 1.53/0.59  % (29964)------------------------------
% 1.53/0.59  % (29964)------------------------------
% 1.53/0.59  % (29963)Instruction limit reached!
% 1.53/0.59  % (29963)------------------------------
% 1.53/0.59  % (29963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59  % (29963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59  % (29963)Termination reason: Unknown
% 1.53/0.59  % (29963)Termination phase: Property scanning
% 1.53/0.59  
% 1.53/0.59  % (29963)Memory used [KB]: 1535
% 1.53/0.59  % (29963)Time elapsed: 0.019 s
% 1.53/0.59  % (29963)Instructions burned: 51 (million)
% 1.53/0.59  % (29963)------------------------------
% 1.53/0.59  % (29963)------------------------------
% 1.53/0.60  % (29965)Instruction limit reached!
% 1.53/0.60  % (29965)------------------------------
% 1.53/0.60  % (29965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60  % (29965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60  % (29965)Termination reason: Unknown
% 1.53/0.60  % (29965)Termination phase: Saturation
% 1.53/0.60  
% 1.53/0.60  % (29965)Memory used [KB]: 6652
% 1.53/0.60  % (29965)Time elapsed: 0.180 s
% 1.53/0.60  % (29965)Instructions burned: 48 (million)
% 1.53/0.60  % (29965)------------------------------
% 1.53/0.60  % (29965)------------------------------
% 1.53/0.61  % (29961)Instruction limit reached!
% 1.53/0.61  % (29961)------------------------------
% 1.53/0.61  % (29961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.61  % (29961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.61  % (29961)Termination reason: Unknown
% 1.53/0.61  % (29961)Termination phase: Saturation
% 1.53/0.61  
% 1.53/0.61  % (29961)Memory used [KB]: 6780
% 1.53/0.61  % (29961)Time elapsed: 0.026 s
% 1.53/0.61  % (29961)Instructions burned: 51 (million)
% 1.53/0.61  % (29961)------------------------------
% 1.53/0.61  % (29961)------------------------------
% 1.53/0.62  % (29977)Instruction limit reached!
% 1.53/0.62  % (29977)------------------------------
% 1.53/0.62  % (29977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62  % (29977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62  % (29977)Termination reason: Unknown
% 1.53/0.62  % (29977)Termination phase: Finite model building preprocessing
% 1.53/0.62  
% 1.53/0.62  % (29977)Memory used [KB]: 2558
% 1.53/0.62  % (29977)Time elapsed: 0.024 s
% 1.53/0.62  % (29977)Instructions burned: 60 (million)
% 1.53/0.62  % (29977)------------------------------
% 1.53/0.62  % (29977)------------------------------
% 1.53/0.62  % (29969)Instruction limit reached!
% 1.53/0.62  % (29969)------------------------------
% 1.53/0.62  % (29969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62  % (29969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62  % (29969)Termination reason: Unknown
% 1.53/0.62  % (29969)Termination phase: Saturation
% 1.53/0.62  
% 1.53/0.62  % (29969)Memory used [KB]: 1279
% 1.53/0.62  % (29969)Time elapsed: 0.024 s
% 1.53/0.62  % (29969)Instructions burned: 51 (million)
% 1.53/0.62  % (29969)------------------------------
% 1.53/0.62  % (29969)------------------------------
% 2.03/0.63  % (29974)Instruction limit reached!
% 2.03/0.63  % (29974)------------------------------
% 2.03/0.63  % (29974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63  % (29974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (29974)Termination reason: Unknown
% 2.03/0.63  % (29974)Termination phase: Saturation
% 2.03/0.63  
% 2.03/0.63  % (29974)Memory used [KB]: 6908
% 2.03/0.63  % (29974)Time elapsed: 0.038 s
% 2.03/0.63  % (29974)Instructions burned: 68 (million)
% 2.03/0.63  % (29974)------------------------------
% 2.03/0.63  % (29974)------------------------------
% 2.03/0.63  % (29970)Instruction limit reached!
% 2.03/0.63  % (29970)------------------------------
% 2.03/0.63  % (29970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63  % (29970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (29970)Termination reason: Unknown
% 2.03/0.63  % (29970)Termination phase: Saturation
% 2.03/0.63  
% 2.03/0.63  % (29970)Memory used [KB]: 6908
% 2.03/0.63  % (29970)Time elapsed: 0.025 s
% 2.03/0.63  % (29970)Instructions burned: 50 (million)
% 2.03/0.63  % (29970)------------------------------
% 2.03/0.63  % (29970)------------------------------
% 2.03/0.64  % (29986)Instruction limit reached!
% 2.03/0.64  % (29986)------------------------------
% 2.03/0.64  % (29986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.64  % (29986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.64  % (29986)Termination reason: Unknown
% 2.03/0.64  % (29986)Termination phase: Saturation
% 2.03/0.64  
% 2.03/0.64  % (29986)Memory used [KB]: 7036
% 2.03/0.64  % (29986)Time elapsed: 0.033 s
% 2.03/0.64  % (29986)Instructions burned: 69 (million)
% 2.03/0.64  % (29986)------------------------------
% 2.03/0.64  % (29986)------------------------------
% 2.03/0.65  % (29976)Instruction limit reached!
% 2.03/0.65  % (29976)------------------------------
% 2.03/0.65  % (29976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.65  % (29976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.65  % (29976)Termination reason: Unknown
% 2.03/0.65  % (29976)Termination phase: Saturation
% 2.03/0.65  
% 2.03/0.65  % (29976)Memory used [KB]: 6780
% 2.03/0.65  % (29976)Time elapsed: 0.227 s
% 2.03/0.65  % (29976)Instructions burned: 99 (million)
% 2.03/0.65  % (29976)------------------------------
% 2.03/0.65  % (29976)------------------------------
% 2.03/0.65  % (29990)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 (2998ds/388Mi)
% 2.03/0.66  TRYING [8]
% 2.03/0.67  % (29975)Instruction limit reached!
% 2.03/0.67  % (29975)------------------------------
% 2.03/0.67  % (29975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.67  % (29975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.67  % (29975)Termination reason: Unknown
% 2.03/0.67  % (29975)Termination phase: Saturation
% 2.03/0.67  
% 2.03/0.67  % (29975)Memory used [KB]: 1663
% 2.03/0.67  % (29975)Time elapsed: 0.036 s
% 2.03/0.67  % (29975)Instructions burned: 75 (million)
% 2.03/0.67  % (29975)------------------------------
% 2.03/0.67  % (29975)------------------------------
% 2.38/0.68  % (29983)First to succeed.
% 2.38/0.68  % (29971)Instruction limit reached!
% 2.38/0.68  % (29971)------------------------------
% 2.38/0.68  % (29971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.68  % (29971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.68  % (29971)Termination reason: Unknown
% 2.38/0.68  % (29971)Termination phase: Saturation
% 2.38/0.68  
% 2.38/0.68  % (29971)Memory used [KB]: 7291
% 2.38/0.68  % (29971)Time elapsed: 0.290 s
% 2.38/0.68  % (29971)Instructions burned: 101 (million)
% 2.38/0.68  % (29971)------------------------------
% 2.38/0.68  % (29971)------------------------------
% 2.38/0.69  % (29991)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.38/0.70  % (29979)Instruction limit reached!
% 2.38/0.70  % (29979)------------------------------
% 2.38/0.70  % (29979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.70  % (29979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.70  % (29979)Termination reason: Unknown
% 2.38/0.70  % (29979)Termination phase: Saturation
% 2.38/0.70  
% 2.38/0.70  % (29979)Memory used [KB]: 1407
% 2.38/0.70  % (29979)Time elapsed: 0.284 s
% 2.38/0.70  % (29979)Instructions burned: 100 (million)
% 2.38/0.70  % (29979)------------------------------
% 2.38/0.70  % (29979)------------------------------
% 2.38/0.70  % (29978)Instruction limit reached!
% 2.38/0.70  % (29978)------------------------------
% 2.38/0.70  % (29978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.70  % (29978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.70  % (29978)Termination reason: Unknown
% 2.38/0.70  % (29978)Termination phase: Saturation
% 2.38/0.70  
% 2.38/0.70  % (29978)Memory used [KB]: 7419
% 2.38/0.70  % (29978)Time elapsed: 0.049 s
% 2.38/0.70  % (29978)Instructions burned: 101 (million)
% 2.38/0.70  % (29978)------------------------------
% 2.38/0.70  % (29978)------------------------------
% 2.38/0.70  % (29973)Instruction limit reached!
% 2.38/0.70  % (29973)------------------------------
% 2.38/0.70  % (29973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.70  % (29973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.70  % (29973)Termination reason: Unknown
% 2.38/0.70  % (29973)Termination phase: Saturation
% 2.38/0.70  
% 2.38/0.70  % (29973)Memory used [KB]: 7419
% 2.38/0.70  % (29973)Time elapsed: 0.299 s
% 2.38/0.70  % (29973)Instructions burned: 99 (million)
% 2.38/0.70  % (29973)------------------------------
% 2.38/0.70  % (29973)------------------------------
% 2.38/0.70  % (29972)Instruction limit reached!
% 2.38/0.70  % (29972)------------------------------
% 2.38/0.70  % (29972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.70  % (29972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.70  % (29972)Termination reason: Unknown
% 2.38/0.70  % (29972)Termination phase: Saturation
% 2.38/0.70  
% 2.38/0.70  % (29972)Memory used [KB]: 7419
% 2.38/0.70  % (29972)Time elapsed: 0.311 s
% 2.38/0.70  % (29972)Instructions burned: 102 (million)
% 2.38/0.70  % (29972)------------------------------
% 2.38/0.70  % (29972)------------------------------
% 2.38/0.71  % (29992)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.38/0.72  % (29994)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.38/0.72  % (29995)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.38/0.73  % (29993)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.38/0.73  % (29980)Also succeeded, but the first one will report.
% 2.38/0.73  % (29981)Also succeeded, but the first one will report.
% 2.38/0.73  % (29983)Refutation found. Thanks to Tanya!
% 2.38/0.73  % SZS status Theorem for theBenchmark
% 2.38/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.74  % (29983)------------------------------
% 2.38/0.74  % (29983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.74  % (29983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.74  % (29983)Termination reason: Refutation
% 2.38/0.74  
% 2.38/0.74  % (29983)Memory used [KB]: 7547
% 2.38/0.74  % (29983)Time elapsed: 0.052 s
% 2.38/0.74  % (29983)Instructions burned: 85 (million)
% 2.38/0.74  % (29983)------------------------------
% 2.38/0.74  % (29983)------------------------------
% 2.38/0.74  % (29959)Success in time 0.403 s
%------------------------------------------------------------------------------