TSTP Solution File: ALG139+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG139+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 : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:43:01 EDT 2022

% Result   : Unsatisfiable 1.77s 0.61s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   98
% Syntax   : Number of formulae    :  496 (  31 unt;   0 def)
%            Number of atoms       : 1537 ( 778 equ)
%            Maximal formula atoms :  128 (   3 avg)
%            Number of connectives : 1778 ( 737   ~; 800   |; 164   &)
%                                         (  77 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   83 (  81 usr;  82 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2245,plain,
    $false,
    inference(avatar_sat_refutation,[],[f305,f322,f335,f344,f415,f429,f430,f435,f448,f466,f467,f477,f492,f506,f515,f559,f582,f588,f597,f598,f609,f615,f616,f623,f633,f647,f654,f655,f658,f660,f662,f667,f672,f677,f681,f684,f688,f690,f692,f695,f697,f698,f701,f704,f705,f707,f727,f730,f740,f761,f762,f765,f766,f769,f789,f793,f798,f834,f837,f874,f881,f910,f915,f964,f987,f1031,f1047,f1063,f1070,f1089,f1141,f1153,f1180,f1219,f1228,f1248,f1280,f1282,f1283,f1299,f1317,f1402,f1406,f1428,f1461,f1471,f1476,f1488,f1524,f1546,f1584,f1609,f1677,f1702,f1725,f1771,f1787,f1788,f1789,f1822,f1825,f1842,f1855,f1880,f1896,f1913,f1924,f1959,f1969,f1976,f2006,f2026,f2033,f2048,f2065,f2086,f2094,f2108,f2113,f2130,f2132,f2164,f2166,f2172,f2185,f2210,f2212]) ).

fof(f2212,plain,
    ( ~ spl4_25
    | ~ spl4_41
    | spl4_63 ),
    inference(avatar_split_clause,[],[f2211,f508,f403,f332]) ).

fof(f332,plain,
    ( spl4_25
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

fof(f403,plain,
    ( spl4_41
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).

fof(f508,plain,
    ( spl4_63
  <=> e1 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).

fof(f2211,plain,
    ( e1 != op(e3,e3)
    | ~ spl4_41
    | spl4_63 ),
    inference(forward_demodulation,[],[f510,f404]) ).

fof(f404,plain,
    ( e3 = op(e2,e2)
    | ~ spl4_41 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f510,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | spl4_63 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f2210,plain,
    ( ~ spl4_72
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f2209,f381,f548]) ).

fof(f548,plain,
    ( spl4_72
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).

fof(f381,plain,
    ( spl4_36
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

fof(f2209,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_36 ),
    inference(forward_demodulation,[],[f170,f382]) ).

fof(f382,plain,
    ( op(e0,e0) = e2
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f170,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f2185,plain,
    ( ~ spl4_38
    | ~ spl4_36
    | spl4_49 ),
    inference(avatar_split_clause,[],[f2179,f441,f381,f390]) ).

fof(f390,plain,
    ( spl4_38
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

fof(f441,plain,
    ( spl4_49
  <=> e1 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).

fof(f2179,plain,
    ( e1 != op(e2,e2)
    | ~ spl4_36
    | spl4_49 ),
    inference(backward_demodulation,[],[f443,f382]) ).

fof(f443,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | spl4_49 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f2172,plain,
    ( spl4_25
    | ~ spl4_49
    | ~ spl4_50 ),
    inference(avatar_contradiction_clause,[],[f2171]) ).

fof(f2171,plain,
    ( $false
    | spl4_25
    | ~ spl4_49
    | ~ spl4_50 ),
    inference(subsumption_resolution,[],[f2169,f334]) ).

fof(f334,plain,
    ( e1 != op(e3,e3)
    | spl4_25 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f2169,plain,
    ( e1 = op(e3,e3)
    | ~ spl4_49
    | ~ spl4_50 ),
    inference(backward_demodulation,[],[f442,f446]) ).

fof(f446,plain,
    ( op(e0,e0) = e3
    | ~ spl4_50 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl4_50
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).

fof(f442,plain,
    ( e1 = op(op(e0,e0),op(e0,e0))
    | ~ spl4_49 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f2166,plain,
    ( ~ spl4_13
    | ~ spl4_38
    | spl4_43 ),
    inference(avatar_contradiction_clause,[],[f2165]) ).

fof(f2165,plain,
    ( $false
    | ~ spl4_13
    | ~ spl4_38
    | spl4_43 ),
    inference(subsumption_resolution,[],[f2160,f283]) ).

fof(f283,plain,
    ( e0 = op(e1,e1)
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f281,plain,
    ( spl4_13
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

fof(f2160,plain,
    ( e0 != op(e1,e1)
    | ~ spl4_38
    | spl4_43 ),
    inference(backward_demodulation,[],[f414,f392]) ).

fof(f392,plain,
    ( e1 = op(e2,e2)
    | ~ spl4_38 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f414,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | spl4_43 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f412,plain,
    ( spl4_43
  <=> e0 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).

fof(f2164,plain,
    ( ~ spl4_38
    | spl4_42
    | ~ spl4_62 ),
    inference(avatar_contradiction_clause,[],[f2163]) ).

fof(f2163,plain,
    ( $false
    | ~ spl4_38
    | spl4_42
    | ~ spl4_62 ),
    inference(subsumption_resolution,[],[f2159,f505]) ).

fof(f505,plain,
    ( e3 = op(e1,e2)
    | ~ spl4_62 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f503,plain,
    ( spl4_62
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).

fof(f2159,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_38
    | spl4_42 ),
    inference(backward_demodulation,[],[f410,f392]) ).

fof(f410,plain,
    ( e3 != op(op(e2,e2),e2)
    | spl4_42 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f408,plain,
    ( spl4_42
  <=> e3 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).

fof(f2132,plain,
    ( ~ spl4_36
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f2131,f346,f381]) ).

fof(f346,plain,
    ( spl4_28
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

fof(f2131,plain,
    ( op(e0,e0) != e2
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f183,f348]) ).

fof(f348,plain,
    ( e2 = op(e1,e0)
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f183,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2130,plain,
    ( ~ spl4_34
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f2129,f242,f372]) ).

fof(f372,plain,
    ( spl4_34
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

fof(f242,plain,
    ( spl4_4
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f2129,plain,
    ( e0 != op(e3,e0)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f186,f244]) ).

fof(f244,plain,
    ( e0 = op(e3,e2)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f186,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2113,plain,
    ( ~ spl4_3
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f2112,f242,f238]) ).

fof(f238,plain,
    ( spl4_3
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f2112,plain,
    ( e0 != op(e0,e2)
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f201,f244]) ).

fof(f201,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2108,plain,
    ( ~ spl4_50
    | ~ spl4_13
    | spl4_45 ),
    inference(avatar_split_clause,[],[f1972,f422,f281,f445]) ).

fof(f422,plain,
    ( spl4_45
  <=> e3 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).

fof(f1972,plain,
    ( op(e0,e0) != e3
    | ~ spl4_13
    | spl4_45 ),
    inference(backward_demodulation,[],[f424,f283]) ).

fof(f424,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | spl4_45 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f2094,plain,
    ( ~ spl4_34
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f2093,f376,f372]) ).

fof(f376,plain,
    ( spl4_35
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

fof(f2093,plain,
    ( e0 != op(e3,e0)
    | ~ spl4_35 ),
    inference(forward_demodulation,[],[f190,f378]) ).

fof(f378,plain,
    ( e0 = op(e2,e0)
    | ~ spl4_35 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f190,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2086,plain,
    ( ~ spl4_61
    | ~ spl4_69 ),
    inference(avatar_split_clause,[],[f2085,f535,f499]) ).

fof(f499,plain,
    ( spl4_61
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).

fof(f535,plain,
    ( spl4_69
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).

fof(f2085,plain,
    ( e3 != op(e3,e2)
    | ~ spl4_69 ),
    inference(forward_demodulation,[],[f193,f537]) ).

fof(f537,plain,
    ( e3 = op(e3,e1)
    | ~ spl4_69 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f193,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2065,plain,
    ( ~ spl4_19
    | spl4_24
    | ~ spl4_25 ),
    inference(avatar_contradiction_clause,[],[f2064]) ).

fof(f2064,plain,
    ( $false
    | ~ spl4_19
    | spl4_24
    | ~ spl4_25 ),
    inference(subsumption_resolution,[],[f1720,f309]) ).

fof(f309,plain,
    ( e2 = op(e1,e3)
    | ~ spl4_19 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f307,plain,
    ( spl4_19
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

fof(f1720,plain,
    ( e2 != op(e1,e3)
    | spl4_24
    | ~ spl4_25 ),
    inference(forward_demodulation,[],[f330,f333]) ).

fof(f333,plain,
    ( e1 = op(e3,e3)
    | ~ spl4_25 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f330,plain,
    ( e2 != op(op(e3,e3),e3)
    | spl4_24 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl4_24
  <=> e2 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

fof(f2048,plain,
    ( ~ spl4_13
    | ~ spl4_25
    | ~ spl4_82 ),
    inference(avatar_contradiction_clause,[],[f2047]) ).

fof(f2047,plain,
    ( $false
    | ~ spl4_13
    | ~ spl4_25
    | ~ spl4_82 ),
    inference(subsumption_resolution,[],[f2046,f220]) ).

fof(f220,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f2046,plain,
    ( e0 = e2
    | ~ spl4_13
    | ~ spl4_25
    | ~ spl4_82 ),
    inference(forward_demodulation,[],[f1893,f283]) ).

fof(f1893,plain,
    ( e2 = op(e1,e1)
    | ~ spl4_25
    | ~ spl4_82 ),
    inference(forward_demodulation,[],[f595,f333]) ).

fof(f595,plain,
    ( e2 = op(op(e3,e3),op(e3,e3))
    | ~ spl4_82 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f594,plain,
    ( spl4_82
  <=> e2 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).

fof(f2033,plain,
    ( ~ spl4_21
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f2032,f381,f315]) ).

fof(f315,plain,
    ( spl4_21
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

fof(f2032,plain,
    ( e2 != op(e0,e3)
    | ~ spl4_36 ),
    inference(forward_demodulation,[],[f212,f382]) ).

fof(f212,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2026,plain,
    ( ~ spl4_13
    | spl4_23
    | ~ spl4_25 ),
    inference(avatar_contradiction_clause,[],[f2025]) ).

fof(f2025,plain,
    ( $false
    | ~ spl4_13
    | spl4_23
    | ~ spl4_25 ),
    inference(subsumption_resolution,[],[f1862,f283]) ).

fof(f1862,plain,
    ( e0 != op(e1,e1)
    | spl4_23
    | ~ spl4_25 ),
    inference(forward_demodulation,[],[f326,f333]) ).

fof(f326,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | spl4_23 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f324,plain,
    ( spl4_23
  <=> e0 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).

fof(f2006,plain,
    ( ~ spl4_38
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f2004,f272,f390]) ).

fof(f272,plain,
    ( spl4_11
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f2004,plain,
    ( e1 != op(e2,e2)
    | ~ spl4_11 ),
    inference(backward_demodulation,[],[f171,f274]) ).

fof(f274,plain,
    ( e1 = op(e1,e2)
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f171,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1976,plain,
    ( ~ spl4_67
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f1768,f332,f526]) ).

fof(f526,plain,
    ( spl4_67
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).

fof(f1768,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_25 ),
    inference(forward_demodulation,[],[f202,f333]) ).

fof(f202,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1969,plain,
    ( ~ spl4_77
    | ~ spl4_25
    | spl4_81 ),
    inference(avatar_split_clause,[],[f1791,f590,f332,f570]) ).

fof(f570,plain,
    ( spl4_77
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).

fof(f590,plain,
    ( spl4_81
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).

fof(f1791,plain,
    ( e0 != op(e1,e3)
    | ~ spl4_25
    | spl4_81 ),
    inference(forward_demodulation,[],[f592,f333]) ).

fof(f592,plain,
    ( e0 != op(op(e3,e3),e3)
    | spl4_81 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f1959,plain,
    ( ~ spl4_25
    | ~ spl4_71 ),
    inference(avatar_contradiction_clause,[],[f1958]) ).

fof(f1958,plain,
    ( $false
    | ~ spl4_25
    | ~ spl4_71 ),
    inference(subsumption_resolution,[],[f1957,f224]) ).

fof(f224,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1957,plain,
    ( e1 = e3
    | ~ spl4_25
    | ~ spl4_71 ),
    inference(forward_demodulation,[],[f545,f333]) ).

fof(f545,plain,
    ( e3 = op(e3,e3)
    | ~ spl4_71 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f543,plain,
    ( spl4_71
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).

fof(f1924,plain,
    ( ~ spl4_30
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f1923,f445,f354]) ).

fof(f354,plain,
    ( spl4_30
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).

fof(f1923,plain,
    ( e3 != op(e1,e0)
    | ~ spl4_50 ),
    inference(forward_demodulation,[],[f183,f446]) ).

fof(f1913,plain,
    ( ~ spl4_29
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f1912,f372,f350]) ).

fof(f350,plain,
    ( spl4_29
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

fof(f1912,plain,
    ( e0 != op(e1,e0)
    | ~ spl4_34 ),
    inference(forward_demodulation,[],[f187,f374]) ).

fof(f374,plain,
    ( e0 = op(e3,e0)
    | ~ spl4_34 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f187,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f1896,plain,
    ( ~ spl4_61
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1895,f503,f499]) ).

fof(f1895,plain,
    ( e3 != op(e3,e2)
    | ~ spl4_62 ),
    inference(forward_demodulation,[],[f203,f505]) ).

fof(f203,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1880,plain,
    ( ~ spl4_14
    | ~ spl4_25
    | spl4_82 ),
    inference(avatar_contradiction_clause,[],[f1879]) ).

fof(f1879,plain,
    ( $false
    | ~ spl4_14
    | ~ spl4_25
    | spl4_82 ),
    inference(subsumption_resolution,[],[f1817,f287]) ).

fof(f287,plain,
    ( e2 = op(e1,e1)
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f285,plain,
    ( spl4_14
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f1817,plain,
    ( e2 != op(e1,e1)
    | ~ spl4_25
    | spl4_82 ),
    inference(forward_demodulation,[],[f596,f333]) ).

fof(f596,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | spl4_82 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1855,plain,
    ( ~ spl4_72
    | spl4_48
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f1854,f445,f437,f548]) ).

fof(f437,plain,
    ( spl4_48
  <=> e2 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).

fof(f1854,plain,
    ( e2 != op(e3,e0)
    | spl4_48
    | ~ spl4_50 ),
    inference(forward_demodulation,[],[f439,f446]) ).

fof(f439,plain,
    ( e2 != op(op(e0,e0),e0)
    | spl4_48 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f1842,plain,
    ( ~ spl4_25
    | ~ spl4_75 ),
    inference(avatar_contradiction_clause,[],[f1841]) ).

fof(f1841,plain,
    ( $false
    | ~ spl4_25
    | ~ spl4_75 ),
    inference(subsumption_resolution,[],[f1840,f563]) ).

fof(f563,plain,
    ( e1 = op(e3,e0)
    | ~ spl4_75 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl4_75
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).

fof(f1840,plain,
    ( e1 != op(e3,e0)
    | ~ spl4_25 ),
    inference(forward_demodulation,[],[f194,f333]) ).

fof(f194,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1825,plain,
    ( ~ spl4_54
    | ~ spl4_60 ),
    inference(avatar_contradiction_clause,[],[f1824]) ).

fof(f1824,plain,
    ( $false
    | ~ spl4_54
    | ~ spl4_60 ),
    inference(subsumption_resolution,[],[f1823,f219]) ).

fof(f219,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1823,plain,
    ( e2 = e3
    | ~ spl4_54
    | ~ spl4_60 ),
    inference(forward_demodulation,[],[f497,f465]) ).

fof(f465,plain,
    ( e2 = op(e0,e2)
    | ~ spl4_54 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f463,plain,
    ( spl4_54
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).

fof(f497,plain,
    ( e3 = op(e0,e2)
    | ~ spl4_60 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f495,plain,
    ( spl4_60
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).

fof(f1822,plain,
    ( ~ spl4_7
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f1695,f259,f255]) ).

fof(f255,plain,
    ( spl4_7
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f259,plain,
    ( spl4_8
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f1695,plain,
    ( op(e0,e0) != e1
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f212,f261]) ).

fof(f261,plain,
    ( e1 = op(e0,e3)
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f1789,plain,
    ( ~ spl4_27
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f1783,f445,f341]) ).

fof(f341,plain,
    ( spl4_27
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

fof(f1783,plain,
    ( e3 != op(e0,e1)
    | ~ spl4_50 ),
    inference(backward_demodulation,[],[f197,f446]) ).

fof(f197,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1788,plain,
    ( ~ spl4_70
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f1782,f445,f539]) ).

fof(f539,plain,
    ( spl4_70
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_70])]) ).

fof(f1782,plain,
    ( e3 != op(e3,e0)
    | ~ spl4_50 ),
    inference(backward_demodulation,[],[f170,f446]) ).

fof(f1787,plain,
    ( ~ spl4_25
    | spl4_49
    | ~ spl4_50 ),
    inference(avatar_contradiction_clause,[],[f1786]) ).

fof(f1786,plain,
    ( $false
    | ~ spl4_25
    | spl4_49
    | ~ spl4_50 ),
    inference(subsumption_resolution,[],[f1784,f333]) ).

fof(f1784,plain,
    ( e1 != op(e3,e3)
    | spl4_49
    | ~ spl4_50 ),
    inference(backward_demodulation,[],[f443,f446]) ).

fof(f1771,plain,
    ( ~ spl4_7
    | ~ spl4_2
    | spl4_63 ),
    inference(avatar_split_clause,[],[f1770,f508,f234,f255]) ).

fof(f234,plain,
    ( spl4_2
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f1770,plain,
    ( op(e0,e0) != e1
    | ~ spl4_2
    | spl4_63 ),
    inference(forward_demodulation,[],[f510,f236]) ).

fof(f236,plain,
    ( e0 = op(e2,e2)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f1725,plain,
    ( ~ spl4_25
    | ~ spl4_39 ),
    inference(avatar_contradiction_clause,[],[f1724]) ).

fof(f1724,plain,
    ( $false
    | ~ spl4_25
    | ~ spl4_39 ),
    inference(subsumption_resolution,[],[f1723,f396]) ).

fof(f396,plain,
    ( e1 = op(e3,e2)
    | ~ spl4_39 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f394,plain,
    ( spl4_39
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

fof(f1723,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_25 ),
    inference(forward_demodulation,[],[f189,f333]) ).

fof(f189,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1702,plain,
    ( ~ spl4_22
    | ~ spl4_25 ),
    inference(avatar_contradiction_clause,[],[f1701]) ).

fof(f1701,plain,
    ( $false
    | ~ spl4_22
    | ~ spl4_25 ),
    inference(subsumption_resolution,[],[f1700,f221]) ).

fof(f221,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f1700,plain,
    ( e1 = e2
    | ~ spl4_22
    | ~ spl4_25 ),
    inference(backward_demodulation,[],[f321,f333]) ).

fof(f321,plain,
    ( e2 = op(e3,e3)
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f319,plain,
    ( spl4_22
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

fof(f1677,plain,
    ( ~ spl4_17
    | ~ spl4_50 ),
    inference(avatar_contradiction_clause,[],[f1676]) ).

fof(f1676,plain,
    ( $false
    | ~ spl4_17
    | ~ spl4_50 ),
    inference(subsumption_resolution,[],[f1675,f222]) ).

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

fof(f1675,plain,
    ( e0 = e3
    | ~ spl4_17
    | ~ spl4_50 ),
    inference(forward_demodulation,[],[f446,f300]) ).

fof(f300,plain,
    ( e0 = op(e0,e0)
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl4_17
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f1609,plain,
    ( ~ spl4_7
    | ~ spl4_15
    | spl4_56 ),
    inference(avatar_contradiction_clause,[],[f1608]) ).

fof(f1608,plain,
    ( $false
    | ~ spl4_7
    | ~ spl4_15
    | spl4_56 ),
    inference(subsumption_resolution,[],[f1491,f291]) ).

fof(f291,plain,
    ( e3 = op(e1,e1)
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f289,plain,
    ( spl4_15
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f1491,plain,
    ( e3 != op(e1,e1)
    | ~ spl4_7
    | spl4_56 ),
    inference(forward_demodulation,[],[f476,f257]) ).

fof(f257,plain,
    ( op(e0,e0) = e1
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f476,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | spl4_56 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl4_56
  <=> e3 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).

fof(f1584,plain,
    ( ~ spl4_15
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f1582,f503,f289]) ).

fof(f1582,plain,
    ( e3 != op(e1,e1)
    | ~ spl4_62 ),
    inference(backward_demodulation,[],[f216,f505]) ).

fof(f216,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1546,plain,
    ( ~ spl4_33
    | ~ spl4_58 ),
    inference(avatar_contradiction_clause,[],[f1545]) ).

fof(f1545,plain,
    ( $false
    | ~ spl4_33
    | ~ spl4_58 ),
    inference(subsumption_resolution,[],[f1544,f219]) ).

fof(f1544,plain,
    ( e2 = e3
    | ~ spl4_33
    | ~ spl4_58 ),
    inference(forward_demodulation,[],[f486,f369]) ).

fof(f369,plain,
    ( e2 = op(e2,e0)
    | ~ spl4_33 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl4_33
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

fof(f486,plain,
    ( e3 = op(e2,e0)
    | ~ spl4_58 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl4_58
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).

fof(f1524,plain,
    ( ~ spl4_14
    | ~ spl4_15 ),
    inference(avatar_contradiction_clause,[],[f1523]) ).

fof(f1523,plain,
    ( $false
    | ~ spl4_14
    | ~ spl4_15 ),
    inference(subsumption_resolution,[],[f1522,f219]) ).

fof(f1522,plain,
    ( e2 = e3
    | ~ spl4_14
    | ~ spl4_15 ),
    inference(forward_demodulation,[],[f291,f287]) ).

fof(f1488,plain,
    ( ~ spl4_60
    | ~ spl4_2
    | spl4_42 ),
    inference(avatar_split_clause,[],[f1487,f408,f234,f495]) ).

fof(f1487,plain,
    ( e3 != op(e0,e2)
    | ~ spl4_2
    | spl4_42 ),
    inference(forward_demodulation,[],[f410,f236]) ).

fof(f1476,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f1475]) ).

fof(f1475,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f1474,f232]) ).

fof(f232,plain,
    ( e0 = op(e1,e2)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl4_1
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f1474,plain,
    ( e0 != op(e1,e2)
    | ~ spl4_2 ),
    inference(forward_demodulation,[],[f171,f236]) ).

fof(f1471,plain,
    ( ~ spl4_20
    | ~ spl4_52 ),
    inference(avatar_contradiction_clause,[],[f1470]) ).

fof(f1470,plain,
    ( $false
    | ~ spl4_20
    | ~ spl4_52 ),
    inference(subsumption_resolution,[],[f1469,f220]) ).

fof(f1469,plain,
    ( e0 = e2
    | ~ spl4_20
    | ~ spl4_52 ),
    inference(backward_demodulation,[],[f313,f456]) ).

fof(f456,plain,
    ( e0 = op(e2,e3)
    | ~ spl4_52 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f454,plain,
    ( spl4_52
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).

fof(f313,plain,
    ( e2 = op(e2,e3)
    | ~ spl4_20 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f311,plain,
    ( spl4_20
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

fof(f1461,plain,
    ( ~ spl4_7
    | ~ spl4_50 ),
    inference(avatar_contradiction_clause,[],[f1460]) ).

fof(f1460,plain,
    ( $false
    | ~ spl4_7
    | ~ spl4_50 ),
    inference(subsumption_resolution,[],[f1459,f224]) ).

fof(f1459,plain,
    ( e1 = e3
    | ~ spl4_7
    | ~ spl4_50 ),
    inference(forward_demodulation,[],[f446,f257]) ).

fof(f1428,plain,
    ( ~ spl4_22
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1427,f548,f319]) ).

fof(f1427,plain,
    ( e2 != op(e3,e3)
    | ~ spl4_72 ),
    inference(forward_demodulation,[],[f194,f550]) ).

fof(f550,plain,
    ( e2 = op(e3,e0)
    | ~ spl4_72 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f1406,plain,
    ( ~ spl4_30
    | ~ spl4_7
    | spl4_86 ),
    inference(avatar_split_clause,[],[f1405,f618,f255,f354]) ).

fof(f618,plain,
    ( spl4_86
  <=> e3 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).

fof(f1405,plain,
    ( e3 != op(e1,e0)
    | ~ spl4_7
    | spl4_86 ),
    inference(forward_demodulation,[],[f620,f257]) ).

fof(f620,plain,
    ( e3 != op(op(e0,e0),e0)
    | spl4_86 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f1402,plain,
    ( ~ spl4_2
    | ~ spl4_41 ),
    inference(avatar_contradiction_clause,[],[f1401]) ).

fof(f1401,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_41 ),
    inference(subsumption_resolution,[],[f1400,f222]) ).

fof(f1400,plain,
    ( e0 = e3
    | ~ spl4_2
    | ~ spl4_41 ),
    inference(backward_demodulation,[],[f404,f236]) ).

fof(f1317,plain,
    ( ~ spl4_25
    | ~ spl4_78 ),
    inference(avatar_contradiction_clause,[],[f1316]) ).

fof(f1316,plain,
    ( $false
    | ~ spl4_25
    | ~ spl4_78 ),
    inference(subsumption_resolution,[],[f1315,f223]) ).

fof(f223,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f1315,plain,
    ( e0 = e1
    | ~ spl4_25
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f333,f576]) ).

fof(f576,plain,
    ( e0 = op(e3,e3)
    | ~ spl4_78 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f575,plain,
    ( spl4_78
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).

fof(f1299,plain,
    ( ~ spl4_19
    | ~ spl4_76 ),
    inference(avatar_contradiction_clause,[],[f1298]) ).

fof(f1298,plain,
    ( $false
    | ~ spl4_19
    | ~ spl4_76 ),
    inference(subsumption_resolution,[],[f1297,f219]) ).

fof(f1297,plain,
    ( e2 = e3
    | ~ spl4_19
    | ~ spl4_76 ),
    inference(backward_demodulation,[],[f568,f309]) ).

fof(f568,plain,
    ( e3 = op(e1,e3)
    | ~ spl4_76 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f566,plain,
    ( spl4_76
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).

fof(f1283,plain,
    ( ~ spl4_62
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f1273,f403,f503]) ).

fof(f1273,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_41 ),
    inference(backward_demodulation,[],[f171,f404]) ).

fof(f1282,plain,
    ( ~ spl4_4
    | ~ spl4_41
    | spl4_64 ),
    inference(avatar_split_clause,[],[f1278,f512,f403,f242]) ).

fof(f512,plain,
    ( spl4_64
  <=> e0 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).

fof(f1278,plain,
    ( e0 != op(e3,e2)
    | ~ spl4_41
    | spl4_64 ),
    inference(backward_demodulation,[],[f514,f404]) ).

fof(f514,plain,
    ( e0 != op(op(e2,e2),e2)
    | spl4_64 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f1280,plain,
    ( ~ spl4_61
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f1274,f403,f499]) ).

fof(f1274,plain,
    ( e3 != op(e3,e2)
    | ~ spl4_41 ),
    inference(backward_demodulation,[],[f196,f404]) ).

fof(f196,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1248,plain,
    ( ~ spl4_14
    | ~ spl4_74 ),
    inference(avatar_split_clause,[],[f1247,f556,f285]) ).

fof(f556,plain,
    ( spl4_74
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).

fof(f1247,plain,
    ( e2 != op(e1,e1)
    | ~ spl4_74 ),
    inference(backward_demodulation,[],[f208,f558]) ).

fof(f558,plain,
    ( e2 = op(e3,e1)
    | ~ spl4_74 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f208,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f1228,plain,
    ( ~ spl4_91
    | ~ spl4_76 ),
    inference(avatar_split_clause,[],[f1227,f566,f664]) ).

fof(f664,plain,
    ( spl4_91
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).

fof(f1227,plain,
    ( e3 != op(e0,e3)
    | ~ spl4_76 ),
    inference(forward_demodulation,[],[f207,f568]) ).

fof(f207,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1219,plain,
    ( ~ spl4_4
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f865,f575,f242]) ).

fof(f865,plain,
    ( e0 != op(e3,e2)
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f189,f576]) ).

fof(f1180,plain,
    ( ~ spl4_21
    | spl4_24
    | ~ spl4_78 ),
    inference(avatar_contradiction_clause,[],[f1179]) ).

fof(f1179,plain,
    ( $false
    | ~ spl4_21
    | spl4_24
    | ~ spl4_78 ),
    inference(subsumption_resolution,[],[f1178,f317]) ).

fof(f317,plain,
    ( e2 = op(e0,e3)
    | ~ spl4_21 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f1178,plain,
    ( e2 != op(e0,e3)
    | spl4_24
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f330,f576]) ).

fof(f1153,plain,
    ( ~ spl4_22
    | ~ spl4_78 ),
    inference(avatar_contradiction_clause,[],[f1152]) ).

fof(f1152,plain,
    ( $false
    | ~ spl4_22
    | ~ spl4_78 ),
    inference(subsumption_resolution,[],[f1151,f220]) ).

fof(f1151,plain,
    ( e0 = e2
    | ~ spl4_22
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f321,f576]) ).

fof(f1141,plain,
    ( ~ spl4_38
    | ~ spl4_39 ),
    inference(avatar_contradiction_clause,[],[f1140]) ).

fof(f1140,plain,
    ( $false
    | ~ spl4_38
    | ~ spl4_39 ),
    inference(subsumption_resolution,[],[f1139,f392]) ).

fof(f1139,plain,
    ( e1 != op(e2,e2)
    | ~ spl4_39 ),
    inference(forward_demodulation,[],[f196,f396]) ).

fof(f1089,plain,
    ( ~ spl4_15
    | spl4_66
    | ~ spl4_78 ),
    inference(avatar_contradiction_clause,[],[f1088]) ).

fof(f1088,plain,
    ( $false
    | ~ spl4_15
    | spl4_66
    | ~ spl4_78 ),
    inference(subsumption_resolution,[],[f1087,f576]) ).

fof(f1087,plain,
    ( e0 != op(e3,e3)
    | ~ spl4_15
    | spl4_66 ),
    inference(forward_demodulation,[],[f523,f291]) ).

fof(f523,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | spl4_66 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f521,plain,
    ( spl4_66
  <=> e0 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).

fof(f1070,plain,
    ( ~ spl4_38
    | ~ spl4_41 ),
    inference(avatar_contradiction_clause,[],[f1069]) ).

fof(f1069,plain,
    ( $false
    | ~ spl4_38
    | ~ spl4_41 ),
    inference(subsumption_resolution,[],[f1068,f224]) ).

fof(f1068,plain,
    ( e1 = e3
    | ~ spl4_38
    | ~ spl4_41 ),
    inference(forward_demodulation,[],[f404,f392]) ).

fof(f1063,plain,
    ( ~ spl4_1
    | ~ spl4_38
    | spl4_64 ),
    inference(avatar_split_clause,[],[f959,f512,f390,f230]) ).

fof(f959,plain,
    ( e0 != op(e1,e2)
    | ~ spl4_38
    | spl4_64 ),
    inference(forward_demodulation,[],[f514,f392]) ).

fof(f1047,plain,
    ( ~ spl4_59
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1046,f552,f489]) ).

fof(f489,plain,
    ( spl4_59
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).

fof(f552,plain,
    ( spl4_73
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).

fof(f1046,plain,
    ( e2 != op(e1,e2)
    | ~ spl4_73 ),
    inference(backward_demodulation,[],[f203,f554]) ).

fof(f554,plain,
    ( e2 = op(e3,e2)
    | ~ spl4_73 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f1031,plain,
    ( ~ spl4_74
    | ~ spl4_15
    | spl4_46 ),
    inference(avatar_split_clause,[],[f937,f426,f289,f556]) ).

fof(f426,plain,
    ( spl4_46
  <=> e2 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).

fof(f937,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_15
    | spl4_46 ),
    inference(forward_demodulation,[],[f428,f291]) ).

fof(f428,plain,
    ( e2 != op(op(e1,e1),e1)
    | spl4_46 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f987,plain,
    ( ~ spl4_70
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f986,f499,f539]) ).

fof(f986,plain,
    ( e3 != op(e3,e0)
    | ~ spl4_61 ),
    inference(forward_demodulation,[],[f186,f501]) ).

fof(f501,plain,
    ( e3 = op(e3,e2)
    | ~ spl4_61 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f964,plain,
    ( ~ spl4_7
    | ~ spl4_78
    | spl4_79 ),
    inference(avatar_split_clause,[],[f949,f579,f575,f255]) ).

fof(f579,plain,
    ( spl4_79
  <=> e1 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).

fof(f949,plain,
    ( op(e0,e0) != e1
    | ~ spl4_78
    | spl4_79 ),
    inference(forward_demodulation,[],[f581,f576]) ).

fof(f581,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | spl4_79 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f915,plain,
    ( ~ spl4_7
    | ~ spl4_36 ),
    inference(avatar_contradiction_clause,[],[f914]) ).

fof(f914,plain,
    ( $false
    | ~ spl4_7
    | ~ spl4_36 ),
    inference(subsumption_resolution,[],[f913,f221]) ).

fof(f913,plain,
    ( e1 = e2
    | ~ spl4_7
    | ~ spl4_36 ),
    inference(forward_demodulation,[],[f382,f257]) ).

fof(f910,plain,
    ( ~ spl4_15
    | ~ spl4_38
    | spl4_92 ),
    inference(avatar_contradiction_clause,[],[f909]) ).

fof(f909,plain,
    ( $false
    | ~ spl4_15
    | ~ spl4_38
    | spl4_92 ),
    inference(subsumption_resolution,[],[f908,f291]) ).

fof(f908,plain,
    ( e3 != op(e1,e1)
    | ~ spl4_38
    | spl4_92 ),
    inference(forward_demodulation,[],[f676,f392]) ).

fof(f676,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | spl4_92 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f674,plain,
    ( spl4_92
  <=> e3 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_92])]) ).

fof(f881,plain,
    ( ~ spl4_14
    | ~ spl4_7
    | spl4_89 ),
    inference(avatar_split_clause,[],[f830,f643,f255,f285]) ).

fof(f643,plain,
    ( spl4_89
  <=> e2 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).

fof(f830,plain,
    ( e2 != op(e1,e1)
    | ~ spl4_7
    | spl4_89 ),
    inference(backward_demodulation,[],[f645,f257]) ).

fof(f645,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | spl4_89 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f874,plain,
    ( ~ spl4_18
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f873,f575,f302]) ).

fof(f302,plain,
    ( spl4_18
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f873,plain,
    ( e0 != op(e0,e3)
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f209,f576]) ).

fof(f209,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f837,plain,
    ( ~ spl4_2
    | ~ spl4_38 ),
    inference(avatar_contradiction_clause,[],[f836]) ).

fof(f836,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_38 ),
    inference(subsumption_resolution,[],[f835,f223]) ).

fof(f835,plain,
    ( e0 = e1
    | ~ spl4_2
    | ~ spl4_38 ),
    inference(forward_demodulation,[],[f392,f236]) ).

fof(f834,plain,
    ( ~ spl4_28
    | ~ spl4_7
    | spl4_48 ),
    inference(avatar_split_clause,[],[f832,f437,f255,f346]) ).

fof(f832,plain,
    ( e2 != op(e1,e0)
    | ~ spl4_7
    | spl4_48 ),
    inference(backward_demodulation,[],[f439,f257]) ).

fof(f798,plain,
    ( ~ spl4_13
    | ~ spl4_15 ),
    inference(avatar_contradiction_clause,[],[f797]) ).

fof(f797,plain,
    ( $false
    | ~ spl4_13
    | ~ spl4_15 ),
    inference(subsumption_resolution,[],[f796,f222]) ).

fof(f796,plain,
    ( e0 = e3
    | ~ spl4_13
    | ~ spl4_15 ),
    inference(forward_demodulation,[],[f291,f283]) ).

fof(f793,plain,
    ( ~ spl4_6
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f791,f526,f251]) ).

fof(f251,plain,
    ( spl4_6
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f791,plain,
    ( e1 != op(e0,e1)
    | ~ spl4_67 ),
    inference(backward_demodulation,[],[f217,f528]) ).

fof(f528,plain,
    ( e1 = op(e3,e1)
    | ~ spl4_67 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f217,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f789,plain,
    ( ~ spl4_80
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f784,f372,f584]) ).

fof(f584,plain,
    ( spl4_80
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).

fof(f784,plain,
    ( e0 != op(e3,e1)
    | ~ spl4_34 ),
    inference(backward_demodulation,[],[f198,f374]) ).

fof(f198,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f769,plain,
    ( ~ spl4_18
    | ~ spl4_21 ),
    inference(avatar_contradiction_clause,[],[f768]) ).

fof(f768,plain,
    ( $false
    | ~ spl4_18
    | ~ spl4_21 ),
    inference(subsumption_resolution,[],[f767,f220]) ).

fof(f767,plain,
    ( e0 = e2
    | ~ spl4_18
    | ~ spl4_21 ),
    inference(forward_demodulation,[],[f317,f304]) ).

fof(f304,plain,
    ( e0 = op(e0,e3)
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f766,plain,
    ( ~ spl4_80
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f757,f281,f584]) ).

fof(f757,plain,
    ( e0 != op(e3,e1)
    | ~ spl4_13 ),
    inference(backward_demodulation,[],[f208,f283]) ).

fof(f765,plain,
    ( ~ spl4_26
    | ~ spl4_13
    | spl4_46 ),
    inference(avatar_split_clause,[],[f760,f426,f281,f337]) ).

fof(f337,plain,
    ( spl4_26
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).

fof(f760,plain,
    ( e2 != op(e0,e1)
    | ~ spl4_13
    | spl4_46 ),
    inference(backward_demodulation,[],[f428,f283]) ).

fof(f762,plain,
    ( ~ spl4_84
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f758,f281,f606]) ).

fof(f606,plain,
    ( spl4_84
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).

fof(f758,plain,
    ( e0 != op(e2,e1)
    | ~ spl4_13 ),
    inference(backward_demodulation,[],[f213,f283]) ).

fof(f213,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f761,plain,
    ( ~ spl4_16
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f756,f281,f294]) ).

fof(f294,plain,
    ( spl4_16
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f756,plain,
    ( e0 != op(e0,e1)
    | ~ spl4_13 ),
    inference(backward_demodulation,[],[f199,f283]) ).

fof(f199,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f740,plain,
    ( ~ spl4_15
    | ~ spl4_30 ),
    inference(avatar_split_clause,[],[f734,f354,f289]) ).

fof(f734,plain,
    ( e3 != op(e1,e1)
    | ~ spl4_30 ),
    inference(backward_demodulation,[],[f210,f356]) ).

fof(f356,plain,
    ( e3 = op(e1,e0)
    | ~ spl4_30 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f210,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f730,plain,
    ( ~ spl4_73
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f722,f319,f552]) ).

fof(f722,plain,
    ( e2 != op(e3,e2)
    | ~ spl4_22 ),
    inference(backward_demodulation,[],[f189,f321]) ).

fof(f727,plain,
    ( ~ spl4_74
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f724,f319,f556]) ).

fof(f724,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_22 ),
    inference(backward_demodulation,[],[f202,f321]) ).

fof(f707,plain,
    ( spl4_37
    | spl4_2
    | spl4_13
    | spl4_17 ),
    inference(avatar_split_clause,[],[f75,f298,f281,f234,f385]) ).

fof(f385,plain,
    ( spl4_37
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

fof(f75,plain,
    ( e0 = op(e0,e0)
    | e0 = op(e1,e1)
    | e0 = op(e2,e2)
    | sP0 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( ( e1 != op(e3,e3)
        & e3 = op(e1,e1) )
      | ( e3 != op(e3,e3)
        & e3 = op(e3,e3) )
      | ( op(e0,e0) = e3
        & e0 != op(e3,e3) )
      | sP3 )
    & ( ( e2 = op(e1,e1)
        & e1 != op(e2,e2) )
      | ( e0 != op(e2,e2)
        & op(e0,e0) = e2 )
      | ( e3 != op(e2,e2)
        & e2 = op(e3,e3) )
      | sP2 )
    & ( ( e2 != op(e1,e1)
        & e1 = op(e2,e2) )
      | ( e1 = op(e1,e1)
        & e1 != op(e1,e1) )
      | ( e3 != op(e1,e1)
        & e1 = op(e3,e3) )
      | sP1 )
    & ( ( op(e0,e0) != e1
        & e0 = op(e1,e1) )
      | ( e0 = op(e2,e2)
        & op(e0,e0) != e2 )
      | ( e0 = op(e0,e0)
        & e0 != op(e0,e0) )
      | sP0 ) ),
    inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).

fof(f54,plain,
    ( ( op(e0,e0) != e3
      & e0 = op(e3,e3) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f55,plain,
    ( ( e0 != op(e1,e1)
      & op(e0,e0) = e1 )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f56,plain,
    ( ( e2 != op(e2,e2)
      & e2 = op(e2,e2) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f57,plain,
    ( ( e3 = op(e2,e2)
      & e2 != op(e3,e3) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

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

fof(f705,plain,
    ( ~ spl4_47
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f69,f281,f432]) ).

fof(f432,plain,
    ( spl4_47
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).

fof(f69,plain,
    ( e0 != op(e1,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ( e0 != op(e1,e1)
      & op(e0,e0) = e1 )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f704,plain,
    ( ~ spl4_32
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f67,f399,f363]) ).

fof(f363,plain,
    ( spl4_32
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).

fof(f399,plain,
    ( spl4_40
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

fof(f67,plain,
    ( ~ sP2
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e2 != op(e2,e2)
      & e2 = op(e2,e2) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f701,plain,
    ( spl4_67
    | spl4_74
    | spl4_69
    | spl4_80 ),
    inference(avatar_split_clause,[],[f165,f584,f535,f556,f526]) ).

fof(f165,plain,
    ( e0 = op(e3,e1)
    | e3 = op(e3,e1)
    | e2 = op(e3,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f698,plain,
    ( spl4_78
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f70,f385,f575]) ).

fof(f70,plain,
    ( ~ sP0
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ( op(e0,e0) != e3
      & e0 = op(e3,e3) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f697,plain,
    ( ~ spl4_25
    | spl4_71
    | spl4_83
    | spl4_50 ),
    inference(avatar_split_clause,[],[f101,f445,f600,f543,f332]) ).

fof(f600,plain,
    ( spl4_83
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).

fof(f101,plain,
    ( op(e0,e0) = e3
    | sP3
    | e3 = op(e3,e3)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f695,plain,
    ( spl4_75
    | spl4_70
    | spl4_72
    | spl4_34 ),
    inference(avatar_split_clause,[],[f155,f372,f548,f539,f561]) ).

fof(f155,plain,
    ( e0 = op(e3,e0)
    | e2 = op(e3,e0)
    | e3 = op(e3,e0)
    | e1 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f692,plain,
    ( spl4_4
    | spl4_73
    | spl4_61
    | spl4_39 ),
    inference(avatar_split_clause,[],[f159,f394,f499,f552,f242]) ).

fof(f159,plain,
    ( e1 = op(e3,e2)
    | e3 = op(e3,e2)
    | e2 = op(e3,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f690,plain,
    ( spl4_41
    | ~ spl4_83 ),
    inference(avatar_split_clause,[],[f65,f600,f403]) ).

fof(f65,plain,
    ( ~ sP3
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( e3 = op(e2,e2)
      & e2 != op(e3,e3) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f688,plain,
    ( spl4_40
    | spl4_14
    | spl4_36
    | spl4_22 ),
    inference(avatar_split_clause,[],[f92,f319,f381,f285,f399]) ).

fof(f92,plain,
    ( e2 = op(e3,e3)
    | op(e0,e0) = e2
    | e2 = op(e1,e1)
    | sP2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f684,plain,
    ( spl4_70
    | spl4_50
    | spl4_30
    | spl4_58 ),
    inference(avatar_split_clause,[],[f118,f484,f354,f445,f539]) ).

fof(f118,plain,
    ( e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f681,plain,
    ( spl4_11
    | spl4_59
    | spl4_1
    | spl4_62 ),
    inference(avatar_split_clause,[],[f153,f503,f230,f489,f272]) ).

fof(f153,plain,
    ( e3 = op(e1,e2)
    | e0 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f677,plain,
    ( ~ spl4_38
    | ~ spl4_92
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f106,f512,f674,f390]) ).

fof(f106,plain,
    ( e0 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ~ ( e1 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e3 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

fof(f672,plain,
    ( ~ spl4_86
    | ~ spl4_89
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f147,f255,f643,f618]) ).

fof(f147,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ~ ( e2 = op(op(e0,e0),op(e0,e0))
      & e3 = op(op(e0,e0),e0)
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f667,plain,
    ( spl4_21
    | spl4_8
    | spl4_91
    | spl4_18 ),
    inference(avatar_split_clause,[],[f151,f302,f664,f259,f315]) ).

fof(f151,plain,
    ( e0 = op(e0,e3)
    | e3 = op(e0,e3)
    | e1 = op(e0,e3)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f662,plain,
    ( ~ spl4_10
    | spl4_47
    | spl4_25
    | spl4_38 ),
    inference(avatar_split_clause,[],[f80,f390,f332,f432,f268]) ).

fof(f268,plain,
    ( spl4_10
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f80,plain,
    ( e1 = op(e2,e2)
    | e1 = op(e3,e3)
    | sP1
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f660,plain,
    ( spl4_15
    | spl4_30
    | spl4_62
    | spl4_76 ),
    inference(avatar_split_clause,[],[f134,f566,f503,f354,f289]) ).

fof(f134,plain,
    ( e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e0)
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f658,plain,
    ( ~ spl4_2
    | ~ spl4_42
    | ~ spl4_63 ),
    inference(avatar_split_clause,[],[f148,f508,f408,f234]) ).

fof(f148,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ~ ( e0 = op(e2,e2)
      & e1 = op(op(e2,e2),op(e2,e2))
      & e3 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).

fof(f655,plain,
    ( ~ spl4_50
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f71,f385,f445]) ).

fof(f71,plain,
    ( ~ sP0
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f654,plain,
    ( spl4_83
    | spl4_50
    | spl4_15
    | spl4_71 ),
    inference(avatar_split_clause,[],[f97,f543,f289,f445,f600]) ).

fof(f97,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e1,e1)
    | op(e0,e0) = e3
    | sP3 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f647,plain,
    ( ~ spl4_46
    | ~ spl4_66
    | ~ spl4_15 ),
    inference(avatar_split_clause,[],[f108,f289,f521,f426]) ).

fof(f108,plain,
    ( e3 != op(e1,e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( e2 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ~ ( e0 = op(op(e1,e1),op(e1,e1))
      & e3 = op(e1,e1)
      & e2 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

fof(f633,plain,
    ( spl4_77
    | spl4_1
    | spl4_13
    | spl4_29 ),
    inference(avatar_split_clause,[],[f127,f350,f281,f230,f570]) ).

fof(f127,plain,
    ( e0 = op(e1,e0)
    | e0 = op(e1,e1)
    | e0 = op(e1,e2)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f623,plain,
    ( spl4_32
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f66,f399,f363]) ).

fof(f66,plain,
    ( ~ sP2
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f616,plain,
    ( spl4_33
    | spl4_36
    | spl4_28
    | spl4_72 ),
    inference(avatar_split_clause,[],[f112,f548,f346,f381,f367]) ).

fof(f112,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f615,plain,
    ( spl4_83
    | spl4_50
    | ~ spl4_71
    | spl4_15 ),
    inference(avatar_split_clause,[],[f99,f289,f543,f445,f600]) ).

fof(f99,plain,
    ( e3 = op(e1,e1)
    | e3 != op(e3,e3)
    | op(e0,e0) = e3
    | sP3 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f609,plain,
    ( spl4_35
    | spl4_84
    | spl4_2
    | spl4_52 ),
    inference(avatar_split_clause,[],[f120,f454,f234,f606,f376]) ).

fof(f120,plain,
    ( e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f598,plain,
    ( spl4_2
    | ~ spl4_17
    | spl4_37
    | spl4_13 ),
    inference(avatar_split_clause,[],[f74,f281,f385,f298,f234]) ).

fof(f74,plain,
    ( e0 = op(e1,e1)
    | sP0
    | e0 != op(e0,e0)
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f597,plain,
    ( ~ spl4_25
    | ~ spl4_81
    | ~ spl4_82 ),
    inference(avatar_split_clause,[],[f144,f594,f590,f332]) ).

fof(f144,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( e0 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f9]) ).

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

fof(f588,plain,
    ( ~ spl4_38
    | spl4_22
    | spl4_40
    | spl4_36 ),
    inference(avatar_split_clause,[],[f88,f381,f399,f319,f390]) ).

fof(f88,plain,
    ( op(e0,e0) = e2
    | sP2
    | e2 = op(e3,e3)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f582,plain,
    ( ~ spl4_78
    | ~ spl4_79
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f104,f328,f579,f575]) ).

fof(f104,plain,
    ( e2 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ~ ( e1 = op(op(e3,e3),op(e3,e3))
      & e0 = op(e3,e3)
      & e2 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(f559,plain,
    ( spl4_22
    | spl4_72
    | spl4_73
    | spl4_74 ),
    inference(avatar_split_clause,[],[f114,f556,f552,f548,f319]) ).

fof(f114,plain,
    ( e2 = op(e3,e1)
    | e2 = op(e3,e2)
    | e2 = op(e3,e0)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f515,plain,
    ( ~ spl4_63
    | ~ spl4_41
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f168,f512,f403,f508]) ).

fof(f168,plain,
    ( e0 != op(op(e2,e2),e2)
    | e3 != op(e2,e2)
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( e0 != op(op(e2,e2),e2)
    | e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f6]) ).

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

fof(f506,plain,
    ( spl4_60
    | spl4_41
    | spl4_61
    | spl4_62 ),
    inference(avatar_split_clause,[],[f139,f503,f499,f403,f495]) ).

fof(f139,plain,
    ( e3 = op(e1,e2)
    | e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f492,plain,
    ( spl4_28
    | spl4_19
    | spl4_59
    | spl4_14 ),
    inference(avatar_split_clause,[],[f141,f285,f489,f307,f346]) ).

fof(f141,plain,
    ( e2 = op(e1,e1)
    | e2 = op(e1,e2)
    | e2 = op(e1,e3)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f477,plain,
    ( ~ spl4_7
    | ~ spl4_48
    | ~ spl4_56 ),
    inference(avatar_split_clause,[],[f142,f474,f437,f255]) ).

fof(f142,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( e2 != op(op(e0,e0),e0)
    | op(e0,e0) != e1
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( e3 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e1
      & e2 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

fof(f467,plain,
    ( spl4_47
    | spl4_10
    | spl4_25
    | spl4_38 ),
    inference(avatar_split_clause,[],[f82,f390,f332,f268,f432]) ).

fof(f82,plain,
    ( e1 = op(e2,e2)
    | e1 = op(e3,e3)
    | e1 = op(e1,e1)
    | sP1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f466,plain,
    ( spl4_54
    | spl4_26
    | spl4_36
    | spl4_21 ),
    inference(avatar_split_clause,[],[f111,f315,f381,f337,f463]) ).

fof(f111,plain,
    ( e2 = op(e0,e3)
    | op(e0,e0) = e2
    | e2 = op(e0,e1)
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f448,plain,
    ( ~ spl4_48
    | ~ spl4_49
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f109,f445,f441,f437]) ).

fof(f109,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f435,plain,
    ( ~ spl4_47
    | spl4_7 ),
    inference(avatar_split_clause,[],[f68,f255,f432]) ).

fof(f68,plain,
    ( op(e0,e0) = e1
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f430,plain,
    ( spl4_40
    | ~ spl4_2
    | spl4_22
    | spl4_14 ),
    inference(avatar_split_clause,[],[f94,f285,f319,f234,f399]) ).

fof(f94,plain,
    ( e2 = op(e1,e1)
    | e2 = op(e3,e3)
    | e0 != op(e2,e2)
    | sP2 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f429,plain,
    ( ~ spl4_45
    | ~ spl4_46
    | ~ spl4_13 ),
    inference(avatar_split_clause,[],[f169,f281,f426,f422]) ).

fof(f169,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( e2 != op(op(e1,e1),e1)
    | e0 != op(e1,e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ ( e2 = op(op(e1,e1),e1)
      & e3 = op(op(e1,e1),op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(f415,plain,
    ( ~ spl4_42
    | ~ spl4_43
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f226,f390,f412,f408]) ).

fof(f226,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(e2,e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( e3 != op(op(e2,e2),e2)
    | e1 != op(e2,e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ~ ( e3 = op(op(e2,e2),e2)
      & e0 = op(op(e2,e2),op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).

fof(f344,plain,
    ( spl4_6
    | spl4_26
    | spl4_16
    | spl4_27 ),
    inference(avatar_split_clause,[],[f164,f341,f294,f337,f251]) ).

fof(f164,plain,
    ( e3 = op(e0,e1)
    | e0 = op(e0,e1)
    | e2 = op(e0,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f335,plain,
    ( ~ spl4_23
    | ~ spl4_24
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f218,f332,f328,f324]) ).

fof(f218,plain,
    ( e1 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( e1 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ ( e0 = op(op(e3,e3),op(e3,e3))
      & e2 = op(op(e3,e3),e3)
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

fof(f322,plain,
    ( spl4_19
    | spl4_20
    | spl4_21
    | spl4_22 ),
    inference(avatar_split_clause,[],[f131,f319,f315,f311,f307]) ).

fof(f131,plain,
    ( e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f305,plain,
    ( spl4_16
    | spl4_3
    | spl4_17
    | spl4_18 ),
    inference(avatar_split_clause,[],[f128,f302,f298,f238,f294]) ).

fof(f128,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e0,e0)
    | e0 = op(e0,e2)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ALG139+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
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 14:52:32 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (867)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49  % (876)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)
% 0.19/0.50  % (859)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  % (857)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (852)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (862)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52  % (847)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (849)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)
% 0.19/0.54  % (856)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  % (844)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)
% 0.19/0.55  % (843)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)
% 0.19/0.55  % (871)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  % (848)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)
% 0.19/0.55  % (869)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)
% 0.19/0.55  % (877)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56  % (865)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)
% 1.45/0.56  % (855)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.56  % (850)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.56  % (866)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)
% 1.45/0.56  % (845)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.45/0.56  % (858)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.56  TRYING [4]
% 1.45/0.57  % (860)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)
% 1.45/0.57  TRYING [4]
% 1.45/0.57  % (863)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.57  TRYING [4]
% 1.77/0.57  % (850)Instruction limit reached!
% 1.77/0.57  % (850)------------------------------
% 1.77/0.57  % (850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.57  % (850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.57  % (850)Termination reason: Unknown
% 1.77/0.57  % (850)Termination phase: Saturation
% 1.77/0.57  
% 1.77/0.57  % (850)Memory used [KB]: 5628
% 1.77/0.57  % (850)Time elapsed: 0.005 s
% 1.77/0.57  % (850)Instructions burned: 7 (million)
% 1.77/0.57  % (850)------------------------------
% 1.77/0.57  % (850)------------------------------
% 1.77/0.58  % (878)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.77/0.58  % (846)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)
% 1.77/0.58  % (873)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.77/0.58  % (861)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)
% 1.77/0.59  % (867)First to succeed.
% 1.77/0.59  % (845)Instruction limit reached!
% 1.77/0.59  % (845)------------------------------
% 1.77/0.59  % (845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (845)Termination reason: Unknown
% 1.77/0.59  % (845)Termination phase: Saturation
% 1.77/0.59  
% 1.77/0.59  % (845)Memory used [KB]: 1151
% 1.77/0.59  % (845)Time elapsed: 0.181 s
% 1.77/0.59  % (845)Instructions burned: 37 (million)
% 1.77/0.59  % (845)------------------------------
% 1.77/0.59  % (845)------------------------------
% 1.77/0.59  % (870)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)
% 1.77/0.59  % (874)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.77/0.59  % (851)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.77/0.59  % (851)Instruction limit reached!
% 1.77/0.59  % (851)------------------------------
% 1.77/0.59  % (851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (851)Termination reason: Unknown
% 1.77/0.59  % (851)Termination phase: Clausification
% 1.77/0.59  
% 1.77/0.59  % (851)Memory used [KB]: 895
% 1.77/0.59  % (851)Time elapsed: 0.003 s
% 1.77/0.59  % (851)Instructions burned: 3 (million)
% 1.77/0.59  % (851)------------------------------
% 1.77/0.59  % (851)------------------------------
% 1.77/0.60  TRYING [5]
% 1.77/0.60  % (849)Instruction limit reached!
% 1.77/0.60  % (849)------------------------------
% 1.77/0.60  % (849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60  % (849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60  % (849)Termination reason: Unknown
% 1.77/0.60  % (849)Termination phase: Finite model building SAT solving
% 1.77/0.60  
% 1.77/0.60  % (849)Memory used [KB]: 7419
% 1.77/0.60  % (849)Time elapsed: 0.171 s
% 1.77/0.60  % (849)Instructions burned: 51 (million)
% 1.77/0.60  % (849)------------------------------
% 1.77/0.60  % (849)------------------------------
% 1.77/0.60  % (847)Also succeeded, but the first one will report.
% 1.77/0.61  % (867)Refutation found. Thanks to Tanya!
% 1.77/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.77/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.61  % (867)------------------------------
% 1.77/0.61  % (867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61  % (867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61  % (867)Termination reason: Refutation
% 1.77/0.61  
% 1.77/0.61  % (867)Memory used [KB]: 6396
% 1.77/0.61  % (867)Time elapsed: 0.048 s
% 1.77/0.61  % (867)Instructions burned: 50 (million)
% 1.77/0.61  % (867)------------------------------
% 1.77/0.61  % (867)------------------------------
% 1.77/0.61  % (842)Success in time 0.262 s
%------------------------------------------------------------------------------