TSTP Solution File: ALG170+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG170+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 : Mon May 20 18:19:01 EDT 2024

% Result   : Theorem 0.60s 0.82s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   72
% Syntax   : Number of formulae    :  420 ( 110 unt;   0 def)
%            Number of atoms       : 1665 (1257 equ)
%            Maximal formula atoms :  250 (   3 avg)
%            Number of connectives : 1923 ( 678   ~; 784   |; 404   &)
%                                         (  57 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   67 (  65 usr;  66 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1945,plain,
    $false,
    inference(avatar_sat_refutation,[],[f314,f338,f377,f386,f415,f446,f470,f505,f516,f552,f566,f570,f579,f585,f588,f592,f602,f618,f619,f649,f700,f718,f791,f792,f802,f819,f822,f829,f846,f852,f873,f876,f881,f890,f908,f911,f919,f923,f970,f990,f1011,f1047,f1083,f1111,f1253,f1284,f1293,f1332,f1355,f1374,f1377,f1378,f1401,f1440,f1470,f1475,f1534,f1547,f1638,f1668,f1685,f1692,f1695,f1724,f1848,f1893,f1916]) ).

fof(f1916,plain,
    ( ~ spl8_51
    | ~ spl8_62 ),
    inference(avatar_contradiction_clause,[],[f1915]) ).

fof(f1915,plain,
    ( $false
    | ~ spl8_51
    | ~ spl8_62 ),
    inference(subsumption_resolution,[],[f1914,f82]) ).

fof(f82,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f1914,plain,
    ( e0 = e2
    | ~ spl8_51
    | ~ spl8_62 ),
    inference(forward_demodulation,[],[f540,f683]) ).

fof(f683,plain,
    ( e0 = op(e2,e4)
    | ~ spl8_62 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f681,plain,
    ( spl8_62
  <=> e0 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_62])]) ).

fof(f540,plain,
    ( e2 = op(e2,e4)
    | ~ spl8_51 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f539,plain,
    ( spl8_51
  <=> e2 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_51])]) ).

fof(f1893,plain,
    ( ~ spl8_50
    | ~ spl8_54 ),
    inference(avatar_split_clause,[],[f1892,f632,f534]) ).

fof(f534,plain,
    ( spl8_50
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_50])]) ).

fof(f632,plain,
    ( spl8_54
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_54])]) ).

fof(f1892,plain,
    ( e3 != op(e3,e4)
    | ~ spl8_54 ),
    inference(forward_demodulation,[],[f136,f634]) ).

fof(f634,plain,
    ( e3 = op(e1,e4)
    | ~ spl8_54 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f136,plain,
    op(e1,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( op(e4,e3) != op(e4,e4)
    & op(e4,e2) != op(e4,e4)
    & op(e4,e2) != op(e4,e3)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e1) != op(e4,e3)
    & op(e4,e1) != op(e4,e2)
    & op(e4,e0) != op(e4,e4)
    & op(e4,e0) != op(e4,e3)
    & op(e4,e0) != op(e4,e2)
    & op(e4,e0) != op(e4,e1)
    & op(e3,e3) != op(e3,e4)
    & op(e3,e2) != op(e3,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e4)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e4)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e3) != op(e2,e4)
    & op(e2,e2) != op(e2,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e4)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e4)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e3) != op(e1,e4)
    & op(e1,e2) != op(e1,e4)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e4)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e3) != op(e0,e4)
    & op(e0,e2) != op(e0,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e4)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e3,e4) != op(e4,e4)
    & op(e2,e4) != op(e4,e4)
    & op(e2,e4) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e4) != op(e2,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e4) != op(e2,e4)
    & op(e0,e4) != op(e1,e4)
    & op(e3,e3) != op(e4,e3)
    & op(e2,e3) != op(e4,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e4,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e3,e2) != op(e4,e2)
    & op(e2,e2) != op(e4,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e4,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e4,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e3,e1) != op(e4,e1)
    & op(e2,e1) != op(e4,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e4,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e4,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e3,e0) != op(e4,e0)
    & op(e2,e0) != op(e4,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e4,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e4,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f1848,plain,
    ( ~ spl8_56
    | ~ spl8_62
    | ~ spl8_70 ),
    inference(avatar_contradiction_clause,[],[f1847]) ).

fof(f1847,plain,
    ( $false
    | ~ spl8_56
    | ~ spl8_62
    | ~ spl8_70 ),
    inference(subsumption_resolution,[],[f1846,f87]) ).

fof(f87,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1846,plain,
    ( e1 = e4
    | ~ spl8_56
    | ~ spl8_62
    | ~ spl8_70 ),
    inference(forward_demodulation,[],[f1842,f741]) ).

fof(f741,plain,
    ( e1 = op(e0,e3)
    | ~ spl8_70 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f739,plain,
    ( spl8_70
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_70])]) ).

fof(f1842,plain,
    ( e4 = op(e0,e3)
    | ~ spl8_56
    | ~ spl8_62 ),
    inference(backward_demodulation,[],[f1835,f648]) ).

fof(f648,plain,
    ( e3 = op(e4,e2)
    | ~ spl8_56 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f646,plain,
    ( spl8_56
  <=> e3 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_56])]) ).

fof(f1835,plain,
    ( e4 = op(e0,op(e4,e2))
    | ~ spl8_62 ),
    inference(backward_demodulation,[],[f213,f683]) ).

fof(f213,plain,
    e4 = op(op(e2,e4),op(e4,e2)),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( e4 = op(op(e4,e4),op(e4,e4))
    & e4 = op(op(e3,e4),op(e4,e3))
    & e4 = op(op(e2,e4),op(e4,e2))
    & e4 = op(op(e1,e4),op(e4,e1))
    & e4 = op(op(e0,e4),op(e4,e0))
    & e3 = op(op(e4,e3),op(e3,e4))
    & e3 = op(op(e3,e3),op(e3,e3))
    & e3 = op(op(e2,e3),op(e3,e2))
    & e3 = op(op(e1,e3),op(e3,e1))
    & e3 = op(op(e0,e3),op(e3,e0))
    & e2 = op(op(e4,e2),op(e2,e4))
    & e2 = op(op(e3,e2),op(e2,e3))
    & e2 = op(op(e2,e2),op(e2,e2))
    & e2 = op(op(e1,e2),op(e2,e1))
    & e2 = op(op(e0,e2),op(e2,e0))
    & e1 = op(op(e4,e1),op(e1,e4))
    & e1 = op(op(e3,e1),op(e1,e3))
    & e1 = op(op(e2,e1),op(e1,e2))
    & e1 = op(op(e1,e1),op(e1,e1))
    & e1 = op(op(e0,e1),op(e1,e0))
    & e0 = op(op(e4,e0),op(e0,e4))
    & e0 = op(op(e3,e0),op(e0,e3))
    & e0 = op(op(e2,e0),op(e0,e2))
    & e0 = op(op(e1,e0),op(e0,e1))
    & e0 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f1724,plain,
    ( ~ spl8_33
    | ~ spl8_83 ),
    inference(avatar_contradiction_clause,[],[f1723]) ).

fof(f1723,plain,
    ( $false
    | ~ spl8_33
    | ~ spl8_83 ),
    inference(subsumption_resolution,[],[f1722,f81]) ).

fof(f81,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f1722,plain,
    ( e0 = e1
    | ~ spl8_33
    | ~ spl8_83 ),
    inference(forward_demodulation,[],[f449,f814]) ).

fof(f814,plain,
    ( e0 = op(e1,e2)
    | ~ spl8_83 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f812,plain,
    ( spl8_83
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_83])]) ).

fof(f449,plain,
    ( e1 = op(e1,e2)
    | ~ spl8_33 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f448,plain,
    ( spl8_33
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).

fof(f1695,plain,
    ( spl8_72
    | ~ spl8_79
    | ~ spl8_83 ),
    inference(avatar_contradiction_clause,[],[f1694]) ).

fof(f1694,plain,
    ( $false
    | spl8_72
    | ~ spl8_79
    | ~ spl8_83 ),
    inference(subsumption_resolution,[],[f1690,f752]) ).

fof(f752,plain,
    ( e1 != op(e3,e0)
    | spl8_72 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl8_72
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_72])]) ).

fof(f1690,plain,
    ( e1 = op(e3,e0)
    | ~ spl8_79
    | ~ spl8_83 ),
    inference(backward_demodulation,[],[f1640,f789]) ).

fof(f789,plain,
    ( e3 = op(e2,e1)
    | ~ spl8_79 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f787,plain,
    ( spl8_79
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_79])]) ).

fof(f1640,plain,
    ( e1 = op(op(e2,e1),e0)
    | ~ spl8_83 ),
    inference(forward_demodulation,[],[f198,f814]) ).

fof(f198,plain,
    e1 = op(op(e2,e1),op(e1,e2)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1692,plain,
    ( ~ spl8_37
    | ~ spl8_79 ),
    inference(avatar_split_clause,[],[f1686,f787,f467]) ).

fof(f467,plain,
    ( spl8_37
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_37])]) ).

fof(f1686,plain,
    ( e3 != op(e3,e1)
    | ~ spl8_79 ),
    inference(backward_demodulation,[],[f108,f789]) ).

fof(f108,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1685,plain,
    ( ~ spl8_12
    | spl8_39
    | ~ spl8_80 ),
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1684,plain,
    ( $false
    | ~ spl8_12
    | spl8_39
    | ~ spl8_80 ),
    inference(subsumption_resolution,[],[f1680,f480]) ).

fof(f480,plain,
    ( e0 != op(e0,e1)
    | spl8_39 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl8_39
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_39])]) ).

fof(f1680,plain,
    ( e0 = op(e0,e1)
    | ~ spl8_12
    | ~ spl8_80 ),
    inference(backward_demodulation,[],[f1655,f797]) ).

fof(f797,plain,
    ( e1 = op(e0,e2)
    | ~ spl8_80 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl8_80
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_80])]) ).

fof(f1655,plain,
    ( e0 = op(e0,op(e0,e2))
    | ~ spl8_12 ),
    inference(forward_demodulation,[],[f193,f346]) ).

fof(f346,plain,
    ( e0 = op(e2,e0)
    | ~ spl8_12 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f345,plain,
    ( spl8_12
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).

fof(f193,plain,
    e0 = op(op(e2,e0),op(e0,e2)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1668,plain,
    ( spl8_84
    | ~ spl8_85 ),
    inference(avatar_split_clause,[],[f1664,f836,f816]) ).

fof(f816,plain,
    ( spl8_84
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_84])]) ).

fof(f836,plain,
    ( spl8_85
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_85])]) ).

fof(f1664,plain,
    ( e0 = op(e2,e2)
    | ~ spl8_85 ),
    inference(backward_demodulation,[],[f607,f838]) ).

fof(f838,plain,
    ( e2 = op(e1,e0)
    | ~ spl8_85 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f607,plain,
    e0 = op(op(e1,e0),e2),
    inference(forward_demodulation,[],[f192,f557]) ).

fof(f557,plain,
    e2 = op(e0,e1),
    inference(backward_demodulation,[],[f553,f555]) ).

fof(f555,plain,
    e0 = op(e4,e1),
    inference(forward_demodulation,[],[f77,f78]) ).

fof(f78,plain,
    e1 = op(e4,e4),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
    & e2 = op(op(e4,op(e4,e4)),op(e4,e4))
    & e1 = op(e4,e4)
    & e0 = op(e4,op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f77,plain,
    e0 = op(e4,op(e4,e4)),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    e2 = op(op(e4,e1),e1),
    inference(backward_demodulation,[],[f79,f78]) ).

fof(f79,plain,
    e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
    inference(cnf_transformation,[],[f6]) ).

fof(f192,plain,
    e0 = op(op(e1,e0),op(e0,e1)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1638,plain,
    ( ~ spl8_4
    | ~ spl8_73 ),
    inference(avatar_contradiction_clause,[],[f1637]) ).

fof(f1637,plain,
    ( $false
    | ~ spl8_4
    | ~ spl8_73 ),
    inference(subsumption_resolution,[],[f1636,f85]) ).

fof(f85,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f1636,plain,
    ( e1 = e2
    | ~ spl8_4
    | ~ spl8_73 ),
    inference(forward_demodulation,[],[f307,f757]) ).

fof(f757,plain,
    ( e1 = op(e3,e2)
    | ~ spl8_73 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f755,plain,
    ( spl8_73
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_73])]) ).

fof(f307,plain,
    ( e2 = op(e3,e2)
    | ~ spl8_4 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f306,plain,
    ( spl8_4
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).

fof(f1547,plain,
    ( ~ spl8_18
    | ~ spl8_83 ),
    inference(avatar_split_clause,[],[f1546,f812,f374]) ).

fof(f374,plain,
    ( spl8_18
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).

fof(f1546,plain,
    ( e0 != op(e1,e0)
    | ~ spl8_83 ),
    inference(forward_demodulation,[],[f152,f814]) ).

fof(f152,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1534,plain,
    ~ spl8_84,
    inference(avatar_contradiction_clause,[],[f1533]) ).

fof(f1533,plain,
    ( $false
    | ~ spl8_84 ),
    inference(subsumption_resolution,[],[f1532,f575]) ).

fof(f575,plain,
    op(e0,e0) != e2,
    inference(forward_demodulation,[],[f141,f557]) ).

fof(f141,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1532,plain,
    ( op(e0,e0) = e2
    | ~ spl8_84 ),
    inference(forward_demodulation,[],[f203,f818]) ).

fof(f818,plain,
    ( e0 = op(e2,e2)
    | ~ spl8_84 ),
    inference(avatar_component_clause,[],[f816]) ).

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

fof(f1475,plain,
    ( ~ spl8_64
    | ~ spl8_70 ),
    inference(avatar_contradiction_clause,[],[f1474]) ).

fof(f1474,plain,
    ( $false
    | ~ spl8_64
    | ~ spl8_70 ),
    inference(subsumption_resolution,[],[f1473,f87]) ).

fof(f1473,plain,
    ( e1 = e4
    | ~ spl8_64
    | ~ spl8_70 ),
    inference(backward_demodulation,[],[f695,f741]) ).

fof(f695,plain,
    ( e4 = op(e0,e3)
    | ~ spl8_64 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f693,plain,
    ( spl8_64
  <=> e4 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_64])]) ).

fof(f1470,plain,
    ( ~ spl8_65
    | ~ spl8_73 ),
    inference(avatar_contradiction_clause,[],[f1469]) ).

fof(f1469,plain,
    ( $false
    | ~ spl8_65
    | ~ spl8_73 ),
    inference(subsumption_resolution,[],[f1468,f83]) ).

fof(f83,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1468,plain,
    ( e0 = e3
    | ~ spl8_65
    | ~ spl8_73 ),
    inference(forward_demodulation,[],[f1465,f555]) ).

fof(f1465,plain,
    ( e3 = op(e4,e1)
    | ~ spl8_65
    | ~ spl8_73 ),
    inference(backward_demodulation,[],[f1392,f757]) ).

fof(f1392,plain,
    ( e3 = op(e4,op(e3,e2))
    | ~ spl8_65 ),
    inference(forward_demodulation,[],[f208,f699]) ).

fof(f699,plain,
    ( e4 = op(e2,e3)
    | ~ spl8_65 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f697,plain,
    ( spl8_65
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_65])]) ).

fof(f208,plain,
    e3 = op(op(e2,e3),op(e3,e2)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1440,plain,
    ( ~ spl8_34
    | ~ spl8_83 ),
    inference(avatar_split_clause,[],[f1433,f812,f453]) ).

fof(f453,plain,
    ( spl8_34
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_34])]) ).

fof(f1433,plain,
    ( e0 != op(e0,e2)
    | ~ spl8_83 ),
    inference(backward_demodulation,[],[f111,f814]) ).

fof(f111,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1401,plain,
    ( ~ spl8_34
    | ~ spl8_53 ),
    inference(avatar_split_clause,[],[f1400,f549,f453]) ).

fof(f549,plain,
    ( spl8_53
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_53])]) ).

fof(f1400,plain,
    ( e0 != op(e0,e2)
    | ~ spl8_53 ),
    inference(forward_demodulation,[],[f149,f550]) ).

fof(f550,plain,
    ( e0 = op(e0,e4)
    | ~ spl8_53 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f149,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1378,plain,
    ( ~ spl8_82
    | ~ spl8_11 ),
    inference(avatar_split_clause,[],[f1199,f340,f805]) ).

fof(f805,plain,
    ( spl8_82
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_82])]) ).

fof(f340,plain,
    ( spl8_11
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).

fof(f1199,plain,
    ( e1 != op(e2,e0)
    | ~ spl8_11 ),
    inference(forward_demodulation,[],[f161,f341]) ).

fof(f341,plain,
    ( e1 = op(e2,e1)
    | ~ spl8_11 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f161,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1377,plain,
    ( ~ spl8_12
    | ~ spl8_18 ),
    inference(avatar_split_clause,[],[f1376,f374,f345]) ).

fof(f1376,plain,
    ( e0 != op(e2,e0)
    | ~ spl8_18 ),
    inference(forward_demodulation,[],[f95,f375]) ).

fof(f375,plain,
    ( e0 = op(e1,e0)
    | ~ spl8_18 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f95,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1374,plain,
    ( spl8_82
    | ~ spl8_18 ),
    inference(avatar_split_clause,[],[f1343,f374,f805]) ).

fof(f1343,plain,
    ( e1 = op(e2,e0)
    | ~ spl8_18 ),
    inference(backward_demodulation,[],[f606,f375]) ).

fof(f606,plain,
    e1 = op(e2,op(e1,e0)),
    inference(forward_demodulation,[],[f196,f557]) ).

fof(f196,plain,
    e1 = op(op(e0,e1),op(e1,e0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1355,plain,
    ( ~ spl8_11
    | ~ spl8_16 ),
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f1354,plain,
    ( $false
    | ~ spl8_11
    | ~ spl8_16 ),
    inference(subsumption_resolution,[],[f1353,f85]) ).

fof(f1353,plain,
    ( e1 = e2
    | ~ spl8_11
    | ~ spl8_16 ),
    inference(forward_demodulation,[],[f1349,f341]) ).

fof(f1349,plain,
    ( e2 = op(e2,e1)
    | ~ spl8_11
    | ~ spl8_16 ),
    inference(backward_demodulation,[],[f1162,f365]) ).

fof(f365,plain,
    ( e2 = op(e1,e2)
    | ~ spl8_16 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f364,plain,
    ( spl8_16
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).

fof(f1162,plain,
    ( e2 = op(op(e1,e2),e1)
    | ~ spl8_11 ),
    inference(forward_demodulation,[],[f202,f341]) ).

fof(f202,plain,
    e2 = op(op(e1,e2),op(e2,e1)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1332,plain,
    ( ~ spl8_41
    | ~ spl8_53 ),
    inference(avatar_contradiction_clause,[],[f1331]) ).

fof(f1331,plain,
    ( $false
    | ~ spl8_41
    | ~ spl8_53 ),
    inference(subsumption_resolution,[],[f1330,f84]) ).

fof(f84,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1330,plain,
    ( e0 = e4
    | ~ spl8_41
    | ~ spl8_53 ),
    inference(forward_demodulation,[],[f1327,f550]) ).

fof(f1327,plain,
    ( e4 = op(e0,e4)
    | ~ spl8_41
    | ~ spl8_53 ),
    inference(backward_demodulation,[],[f1026,f550]) ).

fof(f1026,plain,
    ( e4 = op(op(e0,e4),e4)
    | ~ spl8_41 ),
    inference(backward_demodulation,[],[f211,f488]) ).

fof(f488,plain,
    ( e4 = op(e4,e0)
    | ~ spl8_41 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f487,plain,
    ( spl8_41
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_41])]) ).

fof(f211,plain,
    e4 = op(op(e0,e4),op(e4,e0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1293,plain,
    ( ~ spl8_44
    | ~ spl8_72 ),
    inference(avatar_split_clause,[],[f1291,f751,f502]) ).

fof(f502,plain,
    ( spl8_44
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_44])]) ).

fof(f1291,plain,
    ( e1 != op(e1,e0)
    | ~ spl8_72 ),
    inference(backward_demodulation,[],[f96,f753]) ).

fof(f753,plain,
    ( e1 = op(e3,e0)
    | ~ spl8_72 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f96,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1284,plain,
    ( ~ spl8_34
    | ~ spl8_80 ),
    inference(avatar_contradiction_clause,[],[f1283]) ).

fof(f1283,plain,
    ( $false
    | ~ spl8_34
    | ~ spl8_80 ),
    inference(subsumption_resolution,[],[f1282,f81]) ).

fof(f1282,plain,
    ( e0 = e1
    | ~ spl8_34
    | ~ spl8_80 ),
    inference(forward_demodulation,[],[f797,f454]) ).

fof(f454,plain,
    ( e0 = op(e0,e2)
    | ~ spl8_34 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f1253,plain,
    ( ~ spl8_34
    | ~ spl8_57 ),
    inference(avatar_contradiction_clause,[],[f1252]) ).

fof(f1252,plain,
    ( $false
    | ~ spl8_34
    | ~ spl8_57 ),
    inference(subsumption_resolution,[],[f1251,f81]) ).

fof(f1251,plain,
    ( e0 = e1
    | ~ spl8_34
    | ~ spl8_57 ),
    inference(forward_demodulation,[],[f1250,f454]) ).

fof(f1250,plain,
    ( e1 = op(e0,e2)
    | ~ spl8_57 ),
    inference(forward_demodulation,[],[f604,f656]) ).

fof(f656,plain,
    ( e2 = op(e1,e4)
    | ~ spl8_57 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f654,plain,
    ( spl8_57
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_57])]) ).

fof(f604,plain,
    e1 = op(e0,op(e1,e4)),
    inference(forward_demodulation,[],[f200,f555]) ).

fof(f200,plain,
    e1 = op(op(e4,e1),op(e1,e4)),
    inference(cnf_transformation,[],[f3]) ).

fof(f1111,plain,
    ( ~ spl8_81
    | ~ spl8_11 ),
    inference(avatar_split_clause,[],[f1105,f340,f799]) ).

fof(f799,plain,
    ( spl8_81
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_81])]) ).

fof(f1105,plain,
    ( e1 != op(e2,e2)
    | ~ spl8_11 ),
    inference(backward_demodulation,[],[f165,f341]) ).

fof(f165,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1083,plain,
    ( ~ spl8_27
    | ~ spl8_32 ),
    inference(avatar_contradiction_clause,[],[f1082]) ).

fof(f1082,plain,
    ( $false
    | ~ spl8_27
    | ~ spl8_32 ),
    inference(subsumption_resolution,[],[f1081,f88]) ).

fof(f88,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1081,plain,
    ( e2 = e3
    | ~ spl8_27
    | ~ spl8_32 ),
    inference(forward_demodulation,[],[f1078,f419]) ).

fof(f419,plain,
    ( e2 = op(e2,e3)
    | ~ spl8_27 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl8_27
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).

fof(f1078,plain,
    ( e3 = op(e2,e3)
    | ~ spl8_27
    | ~ spl8_32 ),
    inference(backward_demodulation,[],[f1060,f419]) ).

fof(f1060,plain,
    ( e3 = op(op(e2,e3),e3)
    | ~ spl8_32 ),
    inference(backward_demodulation,[],[f208,f443]) ).

fof(f443,plain,
    ( e3 = op(e3,e2)
    | ~ spl8_32 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f442,plain,
    ( spl8_32
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).

fof(f1047,plain,
    ( ~ spl8_34
    | ~ spl8_43 ),
    inference(avatar_contradiction_clause,[],[f1046]) ).

fof(f1046,plain,
    ( $false
    | ~ spl8_34
    | ~ spl8_43 ),
    inference(subsumption_resolution,[],[f1045,f82]) ).

fof(f1045,plain,
    ( e0 = e2
    | ~ spl8_34
    | ~ spl8_43 ),
    inference(forward_demodulation,[],[f1041,f454]) ).

fof(f1041,plain,
    ( e2 = op(e0,e2)
    | ~ spl8_34
    | ~ spl8_43 ),
    inference(backward_demodulation,[],[f1019,f454]) ).

fof(f1019,plain,
    ( e2 = op(op(e0,e2),e2)
    | ~ spl8_43 ),
    inference(backward_demodulation,[],[f201,f498]) ).

fof(f498,plain,
    ( e2 = op(e2,e0)
    | ~ spl8_43 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f497,plain,
    ( spl8_43
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_43])]) ).

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

fof(f1011,plain,
    ( spl8_11
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f1006,f502,f340]) ).

fof(f1006,plain,
    ( e1 = op(e2,e1)
    | ~ spl8_44 ),
    inference(backward_demodulation,[],[f606,f503]) ).

fof(f503,plain,
    ( e1 = op(e1,e0)
    | ~ spl8_44 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f990,plain,
    ( ~ spl8_59
    | ~ spl8_47 ),
    inference(avatar_split_clause,[],[f982,f518,f667]) ).

fof(f667,plain,
    ( spl8_59
  <=> e2 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_59])]) ).

fof(f518,plain,
    ( spl8_47
  <=> e2 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_47])]) ).

fof(f982,plain,
    ( e2 != op(e4,e0)
    | ~ spl8_47 ),
    inference(backward_demodulation,[],[f182,f519]) ).

fof(f519,plain,
    ( e2 = op(e4,e2)
    | ~ spl8_47 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f182,plain,
    op(e4,e0) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f970,plain,
    ~ spl8_61,
    inference(avatar_contradiction_clause,[],[f969]) ).

fof(f969,plain,
    ( $false
    | ~ spl8_61 ),
    inference(subsumption_resolution,[],[f968,f86]) ).

fof(f86,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f968,plain,
    ( e1 = e3
    | ~ spl8_61 ),
    inference(backward_demodulation,[],[f556,f959]) ).

fof(f959,plain,
    ( op(e0,e0) = e1
    | ~ spl8_61 ),
    inference(backward_demodulation,[],[f604,f679]) ).

fof(f679,plain,
    ( e0 = op(e1,e4)
    | ~ spl8_61 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f677,plain,
    ( spl8_61
  <=> e0 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_61])]) ).

fof(f556,plain,
    op(e0,e0) = e3,
    inference(backward_demodulation,[],[f554,f555]) ).

fof(f554,plain,
    e3 = op(op(e4,e1),op(e4,e1)),
    inference(backward_demodulation,[],[f80,f78]) ).

fof(f80,plain,
    e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
    inference(cnf_transformation,[],[f6]) ).

fof(f923,plain,
    ( spl8_53
    | spl8_20 ),
    inference(avatar_split_clause,[],[f922,f383,f549]) ).

fof(f383,plain,
    ( spl8_20
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).

fof(f922,plain,
    ( e4 = op(e0,e4)
    | e0 = op(e0,e4) ),
    inference(subsumption_resolution,[],[f921,f580]) ).

fof(f580,plain,
    e1 != op(e0,e4),
    inference(forward_demodulation,[],[f134,f78]) ).

fof(f134,plain,
    op(e0,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f921,plain,
    ( e4 = op(e0,e4)
    | e1 = op(e0,e4)
    | e0 = op(e0,e4) ),
    inference(subsumption_resolution,[],[f920,f567]) ).

fof(f567,plain,
    e2 != op(e0,e4),
    inference(forward_demodulation,[],[f147,f557]) ).

fof(f147,plain,
    op(e0,e1) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f920,plain,
    ( e4 = op(e0,e4)
    | e2 = op(e0,e4)
    | e1 = op(e0,e4)
    | e0 = op(e0,e4) ),
    inference(subsumption_resolution,[],[f270,f571]) ).

fof(f571,plain,
    e3 != op(e0,e4),
    inference(forward_demodulation,[],[f144,f556]) ).

fof(f144,plain,
    op(e0,e0) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f270,plain,
    ( e4 = op(e0,e4)
    | e3 = op(e0,e4)
    | e2 = op(e0,e4)
    | e1 = op(e0,e4)
    | e0 = op(e0,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e4 = op(e4,e4)
      | e3 = op(e4,e4)
      | e2 = op(e4,e4)
      | e1 = op(e4,e4)
      | e0 = op(e4,e4) )
    & ( e4 = op(e4,e3)
      | e3 = op(e4,e3)
      | e2 = op(e4,e3)
      | e1 = op(e4,e3)
      | e0 = op(e4,e3) )
    & ( e4 = op(e4,e2)
      | e3 = op(e4,e2)
      | e2 = op(e4,e2)
      | e1 = op(e4,e2)
      | e0 = op(e4,e2) )
    & ( e4 = op(e4,e1)
      | e3 = op(e4,e1)
      | e2 = op(e4,e1)
      | e1 = op(e4,e1)
      | e0 = op(e4,e1) )
    & ( e4 = op(e4,e0)
      | e3 = op(e4,e0)
      | e2 = op(e4,e0)
      | e1 = op(e4,e0)
      | e0 = op(e4,e0) )
    & ( e4 = op(e3,e4)
      | e3 = op(e3,e4)
      | e2 = op(e3,e4)
      | e1 = op(e3,e4)
      | e0 = op(e3,e4) )
    & ( e4 = op(e3,e3)
      | e3 = op(e3,e3)
      | e2 = op(e3,e3)
      | e1 = op(e3,e3)
      | e0 = op(e3,e3) )
    & ( e4 = op(e3,e2)
      | e3 = op(e3,e2)
      | e2 = op(e3,e2)
      | e1 = op(e3,e2)
      | e0 = op(e3,e2) )
    & ( e4 = op(e3,e1)
      | e3 = op(e3,e1)
      | e2 = op(e3,e1)
      | e1 = op(e3,e1)
      | e0 = op(e3,e1) )
    & ( e4 = op(e3,e0)
      | e3 = op(e3,e0)
      | e2 = op(e3,e0)
      | e1 = op(e3,e0)
      | e0 = op(e3,e0) )
    & ( e4 = op(e2,e4)
      | e3 = op(e2,e4)
      | e2 = op(e2,e4)
      | e1 = op(e2,e4)
      | e0 = op(e2,e4) )
    & ( e4 = op(e2,e3)
      | e3 = op(e2,e3)
      | e2 = op(e2,e3)
      | e1 = op(e2,e3)
      | e0 = op(e2,e3) )
    & ( e4 = op(e2,e2)
      | e3 = op(e2,e2)
      | e2 = op(e2,e2)
      | e1 = op(e2,e2)
      | e0 = op(e2,e2) )
    & ( e4 = op(e2,e1)
      | e3 = op(e2,e1)
      | e2 = op(e2,e1)
      | e1 = op(e2,e1)
      | e0 = op(e2,e1) )
    & ( e4 = op(e2,e0)
      | e3 = op(e2,e0)
      | e2 = op(e2,e0)
      | e1 = op(e2,e0)
      | e0 = op(e2,e0) )
    & ( e4 = op(e1,e4)
      | e3 = op(e1,e4)
      | e2 = op(e1,e4)
      | e1 = op(e1,e4)
      | e0 = op(e1,e4) )
    & ( e4 = op(e1,e3)
      | e3 = op(e1,e3)
      | e2 = op(e1,e3)
      | e1 = op(e1,e3)
      | e0 = op(e1,e3) )
    & ( e4 = op(e1,e2)
      | e3 = op(e1,e2)
      | e2 = op(e1,e2)
      | e1 = op(e1,e2)
      | e0 = op(e1,e2) )
    & ( e4 = op(e1,e1)
      | e3 = op(e1,e1)
      | e2 = op(e1,e1)
      | e1 = op(e1,e1)
      | e0 = op(e1,e1) )
    & ( e4 = op(e1,e0)
      | e3 = op(e1,e0)
      | e2 = op(e1,e0)
      | e1 = op(e1,e0)
      | e0 = op(e1,e0) )
    & ( e4 = op(e0,e4)
      | e3 = op(e0,e4)
      | e2 = op(e0,e4)
      | e1 = op(e0,e4)
      | e0 = op(e0,e4) )
    & ( e4 = op(e0,e3)
      | e3 = op(e0,e3)
      | e2 = op(e0,e3)
      | e1 = op(e0,e3)
      | e0 = op(e0,e3) )
    & ( e4 = op(e0,e2)
      | e3 = op(e0,e2)
      | e2 = op(e0,e2)
      | e1 = op(e0,e2)
      | e0 = op(e0,e2) )
    & ( e4 = op(e0,e1)
      | e3 = op(e0,e1)
      | e2 = op(e0,e1)
      | e1 = op(e0,e1)
      | e0 = op(e0,e1) )
    & ( op(e0,e0) = e4
      | op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | e0 = op(e0,e0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f919,plain,
    ( spl8_18
    | spl8_44
    | spl8_85 ),
    inference(avatar_split_clause,[],[f918,f836,f502,f374]) ).

fof(f918,plain,
    ( e2 = op(e1,e0)
    | e1 = op(e1,e0)
    | e0 = op(e1,e0) ),
    inference(subsumption_resolution,[],[f917,f594]) ).

fof(f594,plain,
    e3 != op(e1,e0),
    inference(forward_demodulation,[],[f91,f556]) ).

fof(f91,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f917,plain,
    ( e3 = op(e1,e0)
    | e2 = op(e1,e0)
    | e1 = op(e1,e0)
    | e0 = op(e1,e0) ),
    inference(subsumption_resolution,[],[f271,f598]) ).

fof(f598,plain,
    e4 != op(e1,e0),
    inference(backward_demodulation,[],[f151,f595]) ).

fof(f595,plain,
    e4 = op(e1,e1),
    inference(forward_demodulation,[],[f215,f78]) ).

fof(f215,plain,
    e4 = op(op(e4,e4),op(e4,e4)),
    inference(cnf_transformation,[],[f3]) ).

fof(f151,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f271,plain,
    ( e4 = op(e1,e0)
    | e3 = op(e1,e0)
    | e2 = op(e1,e0)
    | e1 = op(e1,e0)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f911,plain,
    ( spl8_61
    | spl8_52
    | spl8_57
    | spl8_54
    | spl8_14 ),
    inference(avatar_split_clause,[],[f275,f354,f632,f654,f544,f677]) ).

fof(f544,plain,
    ( spl8_52
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_52])]) ).

fof(f354,plain,
    ( spl8_14
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).

fof(f275,plain,
    ( e4 = op(e1,e4)
    | e3 = op(e1,e4)
    | e2 = op(e1,e4)
    | e1 = op(e1,e4)
    | e0 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f908,plain,
    ( spl8_11
    | spl8_38
    | spl8_79 ),
    inference(avatar_split_clause,[],[f907,f787,f472,f340]) ).

fof(f472,plain,
    ( spl8_38
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_38])]) ).

fof(f907,plain,
    ( e3 = op(e2,e1)
    | e2 = op(e2,e1)
    | e1 = op(e2,e1) ),
    inference(subsumption_resolution,[],[f906,f582]) ).

fof(f582,plain,
    e0 != op(e2,e1),
    inference(forward_demodulation,[],[f109,f555]) ).

fof(f109,plain,
    op(e2,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f906,plain,
    ( e3 = op(e2,e1)
    | e2 = op(e2,e1)
    | e1 = op(e2,e1)
    | e0 = op(e2,e1) ),
    inference(subsumption_resolution,[],[f277,f596]) ).

fof(f596,plain,
    e4 != op(e2,e1),
    inference(backward_demodulation,[],[f105,f595]) ).

fof(f105,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f277,plain,
    ( e4 = op(e2,e1)
    | e3 = op(e2,e1)
    | e2 = op(e2,e1)
    | e1 = op(e2,e1)
    | e0 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f890,plain,
    ( spl8_49
    | spl8_59
    | spl8_41 ),
    inference(avatar_split_clause,[],[f889,f487,f667,f528]) ).

fof(f528,plain,
    ( spl8_49
  <=> e0 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_49])]) ).

fof(f889,plain,
    ( e4 = op(e4,e0)
    | e2 = op(e4,e0)
    | e0 = op(e4,e0) ),
    inference(subsumption_resolution,[],[f888,f564]) ).

fof(f564,plain,
    e1 != op(e4,e0),
    inference(forward_demodulation,[],[f184,f78]) ).

fof(f184,plain,
    op(e4,e0) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f888,plain,
    ( e4 = op(e4,e0)
    | e2 = op(e4,e0)
    | e1 = op(e4,e0)
    | e0 = op(e4,e0) ),
    inference(subsumption_resolution,[],[f286,f590]) ).

fof(f590,plain,
    e3 != op(e4,e0),
    inference(forward_demodulation,[],[f94,f556]) ).

fof(f94,plain,
    op(e0,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f286,plain,
    ( e4 = op(e4,e0)
    | e3 = op(e4,e0)
    | e2 = op(e4,e0)
    | e1 = op(e4,e0)
    | e0 = op(e4,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f881,plain,
    ( spl8_34
    | spl8_29
    | spl8_53 ),
    inference(avatar_split_clause,[],[f880,f549,f428,f453]) ).

fof(f428,plain,
    ( spl8_29
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).

fof(f880,plain,
    ( e0 = op(e0,e4)
    | e0 = op(e0,e3)
    | e0 = op(e0,e2) ),
    inference(subsumption_resolution,[],[f879,f83]) ).

fof(f879,plain,
    ( e0 = e3
    | e0 = op(e0,e4)
    | e0 = op(e0,e3)
    | e0 = op(e0,e2) ),
    inference(forward_demodulation,[],[f878,f556]) ).

fof(f878,plain,
    ( e0 = op(e0,e4)
    | e0 = op(e0,e3)
    | e0 = op(e0,e2)
    | e0 = op(e0,e0) ),
    inference(subsumption_resolution,[],[f877,f82]) ).

fof(f877,plain,
    ( e0 = e2
    | e0 = op(e0,e4)
    | e0 = op(e0,e3)
    | e0 = op(e0,e2)
    | e0 = op(e0,e0) ),
    inference(forward_demodulation,[],[f216,f557]) ).

fof(f216,plain,
    ( e0 = op(e0,e4)
    | e0 = op(e0,e3)
    | e0 = op(e0,e2)
    | e0 = op(e0,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e4 = op(e4,e4)
      | e4 = op(e3,e4)
      | e4 = op(e2,e4)
      | e4 = op(e1,e4)
      | e4 = op(e0,e4) )
    & ( e4 = op(e4,e4)
      | e4 = op(e4,e3)
      | e4 = op(e4,e2)
      | e4 = op(e4,e1)
      | e4 = op(e4,e0) )
    & ( e3 = op(e4,e4)
      | e3 = op(e3,e4)
      | e3 = op(e2,e4)
      | e3 = op(e1,e4)
      | e3 = op(e0,e4) )
    & ( e3 = op(e4,e4)
      | e3 = op(e4,e3)
      | e3 = op(e4,e2)
      | e3 = op(e4,e1)
      | e3 = op(e4,e0) )
    & ( e2 = op(e4,e4)
      | e2 = op(e3,e4)
      | e2 = op(e2,e4)
      | e2 = op(e1,e4)
      | e2 = op(e0,e4) )
    & ( e2 = op(e4,e4)
      | e2 = op(e4,e3)
      | e2 = op(e4,e2)
      | e2 = op(e4,e1)
      | e2 = op(e4,e0) )
    & ( e1 = op(e4,e4)
      | e1 = op(e3,e4)
      | e1 = op(e2,e4)
      | e1 = op(e1,e4)
      | e1 = op(e0,e4) )
    & ( e1 = op(e4,e4)
      | e1 = op(e4,e3)
      | e1 = op(e4,e2)
      | e1 = op(e4,e1)
      | e1 = op(e4,e0) )
    & ( e0 = op(e4,e4)
      | e0 = op(e3,e4)
      | e0 = op(e2,e4)
      | e0 = op(e1,e4)
      | e0 = op(e0,e4) )
    & ( e0 = op(e4,e4)
      | e0 = op(e4,e3)
      | e0 = op(e4,e2)
      | e0 = op(e4,e1)
      | e0 = op(e4,e0) )
    & ( e4 = op(e4,e3)
      | e4 = op(e3,e3)
      | e4 = op(e2,e3)
      | e4 = op(e1,e3)
      | e4 = op(e0,e3) )
    & ( e4 = op(e3,e4)
      | e4 = op(e3,e3)
      | e4 = op(e3,e2)
      | e4 = op(e3,e1)
      | e4 = op(e3,e0) )
    & ( e3 = op(e4,e3)
      | e3 = op(e3,e3)
      | e3 = op(e2,e3)
      | e3 = op(e1,e3)
      | e3 = op(e0,e3) )
    & ( e3 = op(e3,e4)
      | e3 = op(e3,e3)
      | e3 = op(e3,e2)
      | e3 = op(e3,e1)
      | e3 = op(e3,e0) )
    & ( e2 = op(e4,e3)
      | e2 = op(e3,e3)
      | e2 = op(e2,e3)
      | e2 = op(e1,e3)
      | e2 = op(e0,e3) )
    & ( e2 = op(e3,e4)
      | e2 = op(e3,e3)
      | e2 = op(e3,e2)
      | e2 = op(e3,e1)
      | e2 = op(e3,e0) )
    & ( e1 = op(e4,e3)
      | e1 = op(e3,e3)
      | e1 = op(e2,e3)
      | e1 = op(e1,e3)
      | e1 = op(e0,e3) )
    & ( e1 = op(e3,e4)
      | e1 = op(e3,e3)
      | e1 = op(e3,e2)
      | e1 = op(e3,e1)
      | e1 = op(e3,e0) )
    & ( e0 = op(e4,e3)
      | e0 = op(e3,e3)
      | e0 = op(e2,e3)
      | e0 = op(e1,e3)
      | e0 = op(e0,e3) )
    & ( e0 = op(e3,e4)
      | e0 = op(e3,e3)
      | e0 = op(e3,e2)
      | e0 = op(e3,e1)
      | e0 = op(e3,e0) )
    & ( e4 = op(e4,e2)
      | e4 = op(e3,e2)
      | e4 = op(e2,e2)
      | e4 = op(e1,e2)
      | e4 = op(e0,e2) )
    & ( e4 = op(e2,e4)
      | e4 = op(e2,e3)
      | e4 = op(e2,e2)
      | e4 = op(e2,e1)
      | e4 = op(e2,e0) )
    & ( e3 = op(e4,e2)
      | e3 = op(e3,e2)
      | e3 = op(e2,e2)
      | e3 = op(e1,e2)
      | e3 = op(e0,e2) )
    & ( e3 = op(e2,e4)
      | e3 = op(e2,e3)
      | e3 = op(e2,e2)
      | e3 = op(e2,e1)
      | e3 = op(e2,e0) )
    & ( e2 = op(e4,e2)
      | e2 = op(e3,e2)
      | e2 = op(e2,e2)
      | e2 = op(e1,e2)
      | e2 = op(e0,e2) )
    & ( e2 = op(e2,e4)
      | e2 = op(e2,e3)
      | e2 = op(e2,e2)
      | e2 = op(e2,e1)
      | e2 = op(e2,e0) )
    & ( e1 = op(e4,e2)
      | e1 = op(e3,e2)
      | e1 = op(e2,e2)
      | e1 = op(e1,e2)
      | e1 = op(e0,e2) )
    & ( e1 = op(e2,e4)
      | e1 = op(e2,e3)
      | e1 = op(e2,e2)
      | e1 = op(e2,e1)
      | e1 = op(e2,e0) )
    & ( e0 = op(e4,e2)
      | e0 = op(e3,e2)
      | e0 = op(e2,e2)
      | e0 = op(e1,e2)
      | e0 = op(e0,e2) )
    & ( e0 = op(e2,e4)
      | e0 = op(e2,e3)
      | e0 = op(e2,e2)
      | e0 = op(e2,e1)
      | e0 = op(e2,e0) )
    & ( e4 = op(e4,e1)
      | e4 = op(e3,e1)
      | e4 = op(e2,e1)
      | e4 = op(e1,e1)
      | e4 = op(e0,e1) )
    & ( e4 = op(e1,e4)
      | e4 = op(e1,e3)
      | e4 = op(e1,e2)
      | e4 = op(e1,e1)
      | e4 = op(e1,e0) )
    & ( e3 = op(e4,e1)
      | e3 = op(e3,e1)
      | e3 = op(e2,e1)
      | e3 = op(e1,e1)
      | e3 = op(e0,e1) )
    & ( e3 = op(e1,e4)
      | e3 = op(e1,e3)
      | e3 = op(e1,e2)
      | e3 = op(e1,e1)
      | e3 = op(e1,e0) )
    & ( e2 = op(e4,e1)
      | e2 = op(e3,e1)
      | e2 = op(e2,e1)
      | e2 = op(e1,e1)
      | e2 = op(e0,e1) )
    & ( e2 = op(e1,e4)
      | e2 = op(e1,e3)
      | e2 = op(e1,e2)
      | e2 = op(e1,e1)
      | e2 = op(e1,e0) )
    & ( e1 = op(e4,e1)
      | e1 = op(e3,e1)
      | e1 = op(e2,e1)
      | e1 = op(e1,e1)
      | e1 = op(e0,e1) )
    & ( e1 = op(e1,e4)
      | e1 = op(e1,e3)
      | e1 = op(e1,e2)
      | e1 = op(e1,e1)
      | e1 = op(e1,e0) )
    & ( e0 = op(e4,e1)
      | e0 = op(e3,e1)
      | e0 = op(e2,e1)
      | e0 = op(e1,e1)
      | e0 = op(e0,e1) )
    & ( e0 = op(e1,e4)
      | e0 = op(e1,e3)
      | e0 = op(e1,e2)
      | e0 = op(e1,e1)
      | e0 = op(e1,e0) )
    & ( e4 = op(e4,e0)
      | e4 = op(e3,e0)
      | e4 = op(e2,e0)
      | e4 = op(e1,e0)
      | op(e0,e0) = e4 )
    & ( e4 = op(e0,e4)
      | e4 = op(e0,e3)
      | e4 = op(e0,e2)
      | e4 = op(e0,e1)
      | op(e0,e0) = e4 )
    & ( e3 = op(e4,e0)
      | e3 = op(e3,e0)
      | e3 = op(e2,e0)
      | e3 = op(e1,e0)
      | op(e0,e0) = e3 )
    & ( e3 = op(e0,e4)
      | e3 = op(e0,e3)
      | e3 = op(e0,e2)
      | e3 = op(e0,e1)
      | op(e0,e0) = e3 )
    & ( e2 = op(e4,e0)
      | e2 = op(e3,e0)
      | e2 = op(e2,e0)
      | e2 = op(e1,e0)
      | op(e0,e0) = e2 )
    & ( e2 = op(e0,e4)
      | e2 = op(e0,e3)
      | e2 = op(e0,e2)
      | e2 = op(e0,e1)
      | op(e0,e0) = e2 )
    & ( e1 = op(e4,e0)
      | e1 = op(e3,e0)
      | e1 = op(e2,e0)
      | e1 = op(e1,e0)
      | op(e0,e0) = e1 )
    & ( e1 = op(e0,e4)
      | e1 = op(e0,e3)
      | e1 = op(e0,e2)
      | e1 = op(e0,e1)
      | op(e0,e0) = e1 )
    & ( e0 = op(e4,e0)
      | e0 = op(e3,e0)
      | e0 = op(e2,e0)
      | e0 = op(e1,e0)
      | e0 = op(e0,e0) )
    & ( e0 = op(e0,e4)
      | e0 = op(e0,e3)
      | e0 = op(e0,e2)
      | e0 = op(e0,e1)
      | e0 = op(e0,e0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f876,plain,
    ( spl8_18
    | spl8_12
    | spl8_6
    | spl8_49 ),
    inference(avatar_split_clause,[],[f875,f528,f316,f345,f374]) ).

fof(f316,plain,
    ( spl8_6
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

fof(f875,plain,
    ( e0 = op(e4,e0)
    | e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0) ),
    inference(subsumption_resolution,[],[f874,f83]) ).

fof(f874,plain,
    ( e0 = e3
    | e0 = op(e4,e0)
    | e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0) ),
    inference(forward_demodulation,[],[f217,f556]) ).

fof(f217,plain,
    ( e0 = op(e4,e0)
    | e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f873,plain,
    ( spl8_80
    | spl8_70 ),
    inference(avatar_split_clause,[],[f872,f739,f795]) ).

fof(f872,plain,
    ( e1 = op(e0,e3)
    | e1 = op(e0,e2) ),
    inference(subsumption_resolution,[],[f871,f86]) ).

fof(f871,plain,
    ( e1 = e3
    | e1 = op(e0,e3)
    | e1 = op(e0,e2) ),
    inference(forward_demodulation,[],[f870,f556]) ).

fof(f870,plain,
    ( e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | op(e0,e0) = e1 ),
    inference(subsumption_resolution,[],[f869,f85]) ).

fof(f869,plain,
    ( e1 = e2
    | e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | op(e0,e0) = e1 ),
    inference(forward_demodulation,[],[f868,f557]) ).

fof(f868,plain,
    ( e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1 ),
    inference(subsumption_resolution,[],[f218,f580]) ).

fof(f218,plain,
    ( e1 = op(e0,e4)
    | e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f852,plain,
    ( spl8_18
    | spl8_83
    | spl8_61 ),
    inference(avatar_split_clause,[],[f851,f677,f812,f374]) ).

fof(f851,plain,
    ( e0 = op(e1,e4)
    | e0 = op(e1,e2)
    | e0 = op(e1,e0) ),
    inference(subsumption_resolution,[],[f850,f583]) ).

fof(f583,plain,
    e0 != op(e1,e1),
    inference(forward_demodulation,[],[f107,f555]) ).

fof(f107,plain,
    op(e1,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f850,plain,
    ( e0 = op(e1,e4)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0) ),
    inference(subsumption_resolution,[],[f226,f610]) ).

fof(f610,plain,
    e0 != op(e1,e3),
    inference(backward_demodulation,[],[f126,f608]) ).

fof(f608,plain,
    e0 = op(e3,e3),
    inference(forward_demodulation,[],[f191,f556]) ).

fof(f191,plain,
    e0 = op(op(e0,e0),op(e0,e0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f126,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f226,plain,
    ( e0 = op(e1,e4)
    | e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f846,plain,
    ( spl8_11
    | spl8_5 ),
    inference(avatar_split_clause,[],[f845,f311,f340]) ).

fof(f311,plain,
    ( spl8_5
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).

fof(f845,plain,
    ( e1 = op(e3,e1)
    | e1 = op(e2,e1) ),
    inference(subsumption_resolution,[],[f844,f85]) ).

fof(f844,plain,
    ( e1 = e2
    | e1 = op(e3,e1)
    | e1 = op(e2,e1) ),
    inference(forward_demodulation,[],[f843,f557]) ).

fof(f843,plain,
    ( e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e0,e1) ),
    inference(subsumption_resolution,[],[f842,f87]) ).

fof(f842,plain,
    ( e1 = e4
    | e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e0,e1) ),
    inference(forward_demodulation,[],[f841,f595]) ).

fof(f841,plain,
    ( e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e0,e1) ),
    inference(subsumption_resolution,[],[f840,f81]) ).

fof(f840,plain,
    ( e0 = e1
    | e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e0,e1) ),
    inference(forward_demodulation,[],[f229,f555]) ).

fof(f229,plain,
    ( e1 = op(e4,e1)
    | e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f829,plain,
    ( spl8_79
    | spl8_37 ),
    inference(avatar_split_clause,[],[f828,f467,f787]) ).

fof(f828,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e2,e1) ),
    inference(subsumption_resolution,[],[f827,f88]) ).

fof(f827,plain,
    ( e2 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1) ),
    inference(forward_demodulation,[],[f826,f557]) ).

fof(f826,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e0,e1) ),
    inference(subsumption_resolution,[],[f825,f90]) ).

fof(f90,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f825,plain,
    ( e3 = e4
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e0,e1) ),
    inference(forward_demodulation,[],[f824,f595]) ).

fof(f824,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(subsumption_resolution,[],[f823,f83]) ).

fof(f823,plain,
    ( e0 = e3
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(forward_demodulation,[],[f233,f555]) ).

fof(f233,plain,
    ( e3 = op(e4,e1)
    | e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f822,plain,
    ( spl8_12
    | spl8_84
    | spl8_62 ),
    inference(avatar_split_clause,[],[f821,f681,f816,f345]) ).

fof(f821,plain,
    ( e0 = op(e2,e4)
    | e0 = op(e2,e2)
    | e0 = op(e2,e0) ),
    inference(subsumption_resolution,[],[f820,f582]) ).

fof(f820,plain,
    ( e0 = op(e2,e4)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0) ),
    inference(subsumption_resolution,[],[f236,f611]) ).

fof(f611,plain,
    e0 != op(e2,e3),
    inference(backward_demodulation,[],[f128,f608]) ).

fof(f128,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f236,plain,
    ( e0 = op(e2,e4)
    | e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f819,plain,
    ( spl8_34
    | spl8_83
    | spl8_84 ),
    inference(avatar_split_clause,[],[f810,f816,f812,f453]) ).

fof(f810,plain,
    ( e0 = op(e2,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2) ),
    inference(subsumption_resolution,[],[f809,f615]) ).

fof(f615,plain,
    e0 != op(e3,e2),
    inference(backward_demodulation,[],[f178,f608]) ).

fof(f178,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f809,plain,
    ( e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2) ),
    inference(subsumption_resolution,[],[f237,f563]) ).

fof(f563,plain,
    e0 != op(e4,e2),
    inference(forward_demodulation,[],[f185,f555]) ).

fof(f185,plain,
    op(e4,e1) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f237,plain,
    ( e0 = op(e4,e2)
    | e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f802,plain,
    ( spl8_80
    | spl8_33
    | spl8_81
    | spl8_73 ),
    inference(avatar_split_clause,[],[f793,f755,f799,f448,f795]) ).

fof(f793,plain,
    ( e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e1,e2)
    | e1 = op(e0,e2) ),
    inference(subsumption_resolution,[],[f239,f559]) ).

fof(f559,plain,
    e1 != op(e4,e2),
    inference(forward_demodulation,[],[f189,f78]) ).

fof(f189,plain,
    op(e4,e2) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f239,plain,
    ( e1 = op(e4,e2)
    | e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e1,e2)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f792,plain,
    ( spl8_43
    | spl8_38
    | spl8_10
    | spl8_27
    | spl8_51 ),
    inference(avatar_split_clause,[],[f240,f539,f418,f335,f472,f497]) ).

fof(f335,plain,
    ( spl8_10
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).

fof(f240,plain,
    ( e2 = op(e2,e4)
    | e2 = op(e2,e3)
    | e2 = op(e2,e2)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f791,plain,
    ( spl8_22
    | spl8_16
    | spl8_10
    | spl8_4
    | spl8_47 ),
    inference(avatar_split_clause,[],[f241,f518,f306,f335,f364,f393]) ).

fof(f393,plain,
    ( spl8_22
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).

fof(f241,plain,
    ( e2 = op(e4,e2)
    | e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f718,plain,
    ( spl8_42
    | spl8_37
    | spl8_32
    | spl8_50 ),
    inference(avatar_split_clause,[],[f717,f534,f442,f467,f492]) ).

fof(f492,plain,
    ( spl8_42
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_42])]) ).

fof(f717,plain,
    ( e3 = op(e3,e4)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0) ),
    inference(subsumption_resolution,[],[f716,f83]) ).

fof(f716,plain,
    ( e0 = e3
    | e3 = op(e3,e4)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0) ),
    inference(forward_demodulation,[],[f252,f608]) ).

fof(f252,plain,
    ( e3 = op(e3,e4)
    | e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f700,plain,
    ( spl8_64
    | spl8_65
    | spl8_26 ),
    inference(avatar_split_clause,[],[f691,f412,f697,f693]) ).

fof(f412,plain,
    ( spl8_26
  <=> e4 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).

fof(f691,plain,
    ( e4 = op(e4,e3)
    | e4 = op(e2,e3)
    | e4 = op(e0,e3) ),
    inference(subsumption_resolution,[],[f690,f84]) ).

fof(f690,plain,
    ( e0 = e4
    | e4 = op(e4,e3)
    | e4 = op(e2,e3)
    | e4 = op(e0,e3) ),
    inference(forward_demodulation,[],[f689,f608]) ).

fof(f689,plain,
    ( e4 = op(e4,e3)
    | e4 = op(e3,e3)
    | e4 = op(e2,e3)
    | e4 = op(e0,e3) ),
    inference(subsumption_resolution,[],[f255,f600]) ).

fof(f600,plain,
    e4 != op(e1,e3),
    inference(backward_demodulation,[],[f156,f595]) ).

fof(f156,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f255,plain,
    ( e4 = op(e4,e3)
    | e4 = op(e3,e3)
    | e4 = op(e2,e3)
    | e4 = op(e1,e3)
    | e4 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f649,plain,
    ( spl8_56
    | spl8_46 ),
    inference(avatar_split_clause,[],[f644,f513,f646]) ).

fof(f513,plain,
    ( spl8_46
  <=> e3 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_46])]) ).

fof(f644,plain,
    ( e3 = op(e4,e3)
    | e3 = op(e4,e2) ),
    inference(subsumption_resolution,[],[f643,f83]) ).

fof(f643,plain,
    ( e0 = e3
    | e3 = op(e4,e3)
    | e3 = op(e4,e2) ),
    inference(forward_demodulation,[],[f642,f555]) ).

fof(f642,plain,
    ( e3 = op(e4,e3)
    | e3 = op(e4,e2)
    | e3 = op(e4,e1) ),
    inference(subsumption_resolution,[],[f641,f86]) ).

fof(f641,plain,
    ( e1 = e3
    | e3 = op(e4,e3)
    | e3 = op(e4,e2)
    | e3 = op(e4,e1) ),
    inference(forward_demodulation,[],[f640,f78]) ).

fof(f640,plain,
    ( e3 = op(e4,e4)
    | e3 = op(e4,e3)
    | e3 = op(e4,e2)
    | e3 = op(e4,e1) ),
    inference(subsumption_resolution,[],[f262,f590]) ).

fof(f262,plain,
    ( e3 = op(e4,e4)
    | e3 = op(e4,e3)
    | e3 = op(e4,e2)
    | e3 = op(e4,e1)
    | e3 = op(e4,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f619,plain,
    ~ spl8_6,
    inference(avatar_split_clause,[],[f613,f316]) ).

fof(f613,plain,
    e0 != op(e3,e0),
    inference(backward_demodulation,[],[f173,f608]) ).

fof(f173,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f618,plain,
    ~ spl8_29,
    inference(avatar_split_clause,[],[f609,f428]) ).

fof(f609,plain,
    e0 != op(e0,e3),
    inference(backward_demodulation,[],[f123,f608]) ).

fof(f123,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f602,plain,
    ~ spl8_14,
    inference(avatar_split_clause,[],[f601,f354]) ).

fof(f601,plain,
    e4 != op(e1,e4),
    inference(backward_demodulation,[],[f157,f595]) ).

fof(f157,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f592,plain,
    ~ spl8_42,
    inference(avatar_split_clause,[],[f591,f492]) ).

fof(f591,plain,
    e3 != op(e3,e0),
    inference(forward_demodulation,[],[f93,f556]) ).

fof(f93,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f588,plain,
    ~ spl8_38,
    inference(avatar_split_clause,[],[f587,f472]) ).

fof(f587,plain,
    e2 != op(e2,e1),
    inference(forward_demodulation,[],[f102,f557]) ).

fof(f102,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f585,plain,
    ~ spl8_39,
    inference(avatar_split_clause,[],[f584,f478]) ).

fof(f584,plain,
    e0 != op(e0,e1),
    inference(forward_demodulation,[],[f104,f555]) ).

fof(f104,plain,
    op(e0,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f579,plain,
    ~ spl8_52,
    inference(avatar_split_clause,[],[f578,f544]) ).

fof(f578,plain,
    e1 != op(e1,e4),
    inference(forward_demodulation,[],[f137,f78]) ).

fof(f137,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f570,plain,
    ~ spl8_22,
    inference(avatar_split_clause,[],[f569,f393]) ).

fof(f569,plain,
    e2 != op(e0,e2),
    inference(forward_demodulation,[],[f145,f557]) ).

fof(f145,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f566,plain,
    ~ spl8_49,
    inference(avatar_split_clause,[],[f565,f528]) ).

fof(f565,plain,
    e0 != op(e4,e0),
    inference(forward_demodulation,[],[f181,f555]) ).

fof(f181,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f552,plain,
    ( spl8_40
    | spl8_35
    | spl8_30
    | spl8_25
    | ~ spl8_53 ),
    inference(avatar_split_clause,[],[f67,f549,f408,f433,f458,f483]) ).

fof(f483,plain,
    ( spl8_40
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_40])]) ).

fof(f458,plain,
    ( spl8_35
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_35])]) ).

fof(f433,plain,
    ( spl8_30
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).

fof(f408,plain,
    ( spl8_25
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).

fof(f67,plain,
    ( e0 != op(e0,e4)
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ( ( e4 != op(e4,e4)
        & e3 != op(e4,e3)
        & e2 != op(e4,e2)
        & e1 != op(e4,e1)
        & e0 != op(e4,e0) )
      | sP7
      | sP6
      | sP5
      | sP4 )
    & ( ( e4 != op(e4,e4)
        & e3 != op(e3,e4)
        & e2 != op(e2,e4)
        & e1 != op(e1,e4)
        & e0 != op(e0,e4) )
      | sP3
      | sP2
      | sP1
      | sP0 ) ),
    inference(definition_folding,[],[f9,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    ( ( e4 != op(e4,e0)
      & e3 != op(e3,e0)
      & e2 != op(e2,e0)
      & e1 != op(e1,e0)
      & e0 != op(e0,e0) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f11,plain,
    ( ( e4 != op(e4,e1)
      & e3 != op(e3,e1)
      & e2 != op(e2,e1)
      & e1 != op(e1,e1)
      & e0 != op(e0,e1) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f12,plain,
    ( ( e4 != op(e4,e2)
      & e3 != op(e3,e2)
      & e2 != op(e2,e2)
      & e1 != op(e1,e2)
      & e0 != op(e0,e2) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f13,plain,
    ( ( e4 != op(e4,e3)
      & e3 != op(e3,e3)
      & e2 != op(e2,e3)
      & e1 != op(e1,e3)
      & e0 != op(e0,e3) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f14,plain,
    ( ( e4 != op(e0,e4)
      & e3 != op(e0,e3)
      & e2 != op(e0,e2)
      & e1 != op(e0,e1)
      & e0 != op(e0,e0) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f15,plain,
    ( ( e4 != op(e1,e4)
      & e3 != op(e1,e3)
      & e2 != op(e1,e2)
      & e1 != op(e1,e1)
      & e0 != op(e1,e0) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f16,plain,
    ( ( e4 != op(e2,e4)
      & e3 != op(e2,e3)
      & e2 != op(e2,e2)
      & e1 != op(e2,e1)
      & e0 != op(e2,e0) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f17,plain,
    ( ( e4 != op(e3,e4)
      & e3 != op(e3,e3)
      & e2 != op(e3,e2)
      & e1 != op(e3,e1)
      & e0 != op(e3,e0) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

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

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

fof(f7,conjecture,
    ~ ( ( ( e4 != op(e4,e4)
          & e3 != op(e4,e3)
          & e2 != op(e4,e2)
          & e1 != op(e4,e1)
          & e0 != op(e4,e0) )
        | ( e4 != op(e3,e4)
          & e3 != op(e3,e3)
          & e2 != op(e3,e2)
          & e1 != op(e3,e1)
          & e0 != op(e3,e0) )
        | ( e4 != op(e2,e4)
          & e3 != op(e2,e3)
          & e2 != op(e2,e2)
          & e1 != op(e2,e1)
          & e0 != op(e2,e0) )
        | ( e4 != op(e1,e4)
          & e3 != op(e1,e3)
          & e2 != op(e1,e2)
          & e1 != op(e1,e1)
          & e0 != op(e1,e0) )
        | ( e4 != op(e0,e4)
          & e3 != op(e0,e3)
          & e2 != op(e0,e2)
          & e1 != op(e0,e1)
          & e0 != op(e0,e0) ) )
      & ( ( e4 != op(e4,e4)
          & e3 != op(e3,e4)
          & e2 != op(e2,e4)
          & e1 != op(e1,e4)
          & e0 != op(e0,e4) )
        | ( e4 != op(e4,e3)
          & e3 != op(e3,e3)
          & e2 != op(e2,e3)
          & e1 != op(e1,e3)
          & e0 != op(e0,e3) )
        | ( e4 != op(e4,e2)
          & e3 != op(e3,e2)
          & e2 != op(e2,e2)
          & e1 != op(e1,e2)
          & e0 != op(e0,e2) )
        | ( e4 != op(e4,e1)
          & e3 != op(e3,e1)
          & e2 != op(e2,e1)
          & e1 != op(e1,e1)
          & e0 != op(e0,e1) )
        | ( e4 != op(e4,e0)
          & e3 != op(e3,e0)
          & e2 != op(e2,e0)
          & e1 != op(e1,e0)
          & e0 != op(e0,e0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f516,plain,
    ( spl8_19
    | spl8_13
    | spl8_7
    | spl8_1
    | ~ spl8_46 ),
    inference(avatar_split_clause,[],[f75,f513,f292,f321,f350,f379]) ).

fof(f379,plain,
    ( spl8_19
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).

fof(f350,plain,
    ( spl8_13
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).

fof(f321,plain,
    ( spl8_7
  <=> sP6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).

fof(f292,plain,
    ( spl8_1
  <=> sP7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f75,plain,
    ( e3 != op(e4,e3)
    | sP7
    | sP6
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f505,plain,
    ( ~ spl8_40
    | ~ spl8_44 ),
    inference(avatar_split_clause,[],[f63,f502,f483]) ).

fof(f63,plain,
    ( e1 != op(e1,e0)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( ( e4 != op(e4,e0)
      & e3 != op(e3,e0)
      & e2 != op(e2,e0)
      & e1 != op(e1,e0)
      & e0 != op(e0,e0) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f10]) ).

fof(f470,plain,
    ( ~ spl8_35
    | ~ spl8_37 ),
    inference(avatar_split_clause,[],[f60,f467,f458]) ).

fof(f60,plain,
    ( e3 != op(e3,e1)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ( e4 != op(e4,e1)
      & e3 != op(e3,e1)
      & e2 != op(e2,e1)
      & e1 != op(e1,e1)
      & e0 != op(e0,e1) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f11]) ).

fof(f446,plain,
    ( ~ spl8_30
    | ~ spl8_10 ),
    inference(avatar_split_clause,[],[f54,f335,f433]) ).

fof(f54,plain,
    ( e2 != op(e2,e2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( ( e4 != op(e4,e2)
      & e3 != op(e3,e2)
      & e2 != op(e2,e2)
      & e1 != op(e1,e2)
      & e0 != op(e0,e2) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f12]) ).

fof(f415,plain,
    ( ~ spl8_25
    | ~ spl8_26 ),
    inference(avatar_split_clause,[],[f51,f412,f408]) ).

fof(f51,plain,
    ( e4 != op(e4,e3)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ( ( e4 != op(e4,e3)
      & e3 != op(e3,e3)
      & e2 != op(e2,e3)
      & e1 != op(e1,e3)
      & e0 != op(e0,e3) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f386,plain,
    ( ~ spl8_19
    | ~ spl8_20 ),
    inference(avatar_split_clause,[],[f46,f383,f379]) ).

fof(f46,plain,
    ( e4 != op(e0,e4)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( ( e4 != op(e0,e4)
      & e3 != op(e0,e3)
      & e2 != op(e0,e2)
      & e1 != op(e0,e1)
      & e0 != op(e0,e0) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f14]) ).

fof(f377,plain,
    ( ~ spl8_13
    | ~ spl8_18 ),
    inference(avatar_split_clause,[],[f37,f374,f350]) ).

fof(f37,plain,
    ( e0 != op(e1,e0)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( ( e4 != op(e1,e4)
      & e3 != op(e1,e3)
      & e2 != op(e1,e2)
      & e1 != op(e1,e1)
      & e0 != op(e1,e0) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f15]) ).

fof(f338,plain,
    ( ~ spl8_7
    | ~ spl8_10 ),
    inference(avatar_split_clause,[],[f34,f335,f321]) ).

fof(f34,plain,
    ( e2 != op(e2,e2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( ( e4 != op(e2,e4)
      & e3 != op(e2,e3)
      & e2 != op(e2,e2)
      & e1 != op(e2,e1)
      & e0 != op(e2,e0) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f314,plain,
    ( ~ spl8_1
    | ~ spl8_5 ),
    inference(avatar_split_clause,[],[f28,f311,f292]) ).

fof(f28,plain,
    ( e1 != op(e3,e1)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( ( e4 != op(e3,e4)
      & e3 != op(e3,e3)
      & e2 != op(e3,e2)
      & e1 != op(e3,e1)
      & e0 != op(e3,e0) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : ALG170+1 : TPTP v8.2.0. Released v2.7.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sat May 18 23:24:08 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_PEQ problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.79  % (31365)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.79  % (31363)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.79  % (31364)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.60/0.79  % (31362)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.79  % (31360)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.60/0.79  % (31366)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.60/0.79  % (31361)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.60/0.79  % (31367)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.60/0.80  % (31367)Refutation not found, incomplete strategy% (31367)------------------------------
% 0.60/0.80  % (31367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (31367)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (31367)Memory used [KB]: 1213
% 0.60/0.80  % (31367)Time elapsed: 0.008 s
% 0.60/0.80  % (31367)Instructions burned: 16 (million)
% 0.60/0.80  % (31367)------------------------------
% 0.60/0.80  % (31367)------------------------------
% 0.60/0.80  % (31364)Refutation not found, incomplete strategy% (31364)------------------------------
% 0.60/0.80  % (31364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (31364)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (31364)Memory used [KB]: 1296
% 0.60/0.80  % (31364)Time elapsed: 0.010 s
% 0.60/0.80  % (31364)Instructions burned: 19 (million)
% 0.60/0.80  % (31364)------------------------------
% 0.60/0.80  % (31364)------------------------------
% 0.60/0.80  % (31360)Refutation not found, incomplete strategy% (31360)------------------------------
% 0.60/0.80  % (31360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (31360)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (31360)Memory used [KB]: 1402
% 0.60/0.80  % (31360)Time elapsed: 0.013 s
% 0.60/0.80  % (31360)Instructions burned: 26 (million)
% 0.60/0.80  % (31368)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.60/0.80  % (31360)------------------------------
% 0.60/0.80  % (31360)------------------------------
% 0.60/0.80  % (31365)Refutation not found, incomplete strategy% (31365)------------------------------
% 0.60/0.80  % (31365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (31365)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (31365)Memory used [KB]: 1190
% 0.60/0.80  % (31365)Time elapsed: 0.013 s
% 0.60/0.80  % (31365)Instructions burned: 28 (million)
% 0.60/0.80  % (31365)------------------------------
% 0.60/0.80  % (31365)------------------------------
% 0.60/0.80  % (31369)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.60/0.80  % (31370)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.60/0.80  % (31363)Instruction limit reached!
% 0.60/0.80  % (31363)------------------------------
% 0.60/0.80  % (31363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (31363)Termination reason: Unknown
% 0.60/0.80  % (31363)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (31363)Memory used [KB]: 1437
% 0.60/0.80  % (31363)Time elapsed: 0.017 s
% 0.60/0.80  % (31363)Instructions burned: 34 (million)
% 0.60/0.80  % (31363)------------------------------
% 0.60/0.80  % (31363)------------------------------
% 0.60/0.80  % (31371)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.60/0.81  % (31372)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.60/0.81  % (31369)Refutation not found, incomplete strategy% (31369)------------------------------
% 0.60/0.81  % (31369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (31369)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (31369)Memory used [KB]: 1447
% 0.60/0.81  % (31369)Time elapsed: 0.011 s
% 0.60/0.81  % (31369)Instructions burned: 24 (million)
% 0.60/0.81  % (31369)------------------------------
% 0.60/0.81  % (31369)------------------------------
% 0.60/0.81  % (31361)Instruction limit reached!
% 0.60/0.81  % (31361)------------------------------
% 0.60/0.81  % (31361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (31361)Termination reason: Unknown
% 0.60/0.81  % (31361)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (31361)Memory used [KB]: 1857
% 0.60/0.81  % (31361)Time elapsed: 0.027 s
% 0.60/0.81  % (31361)Instructions burned: 52 (million)
% 0.60/0.81  % (31361)------------------------------
% 0.60/0.81  % (31361)------------------------------
% 0.60/0.82  % (31373)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.60/0.82  % (31362)First to succeed.
% 0.60/0.82  % (31374)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.60/0.82  % (31368)Instruction limit reached!
% 0.60/0.82  % (31368)------------------------------
% 0.60/0.82  % (31368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (31368)Termination reason: Unknown
% 0.60/0.82  % (31368)Termination phase: Property scanning
% 0.60/0.82  
% 0.60/0.82  % (31368)Memory used [KB]: 2133
% 0.60/0.82  % (31368)Time elapsed: 0.022 s
% 0.60/0.82  % (31368)Instructions burned: 55 (million)
% 0.60/0.82  % (31368)------------------------------
% 0.60/0.82  % (31368)------------------------------
% 0.60/0.82  % (31362)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31359"
% 0.60/0.82  % (31362)Refutation found. Thanks to Tanya!
% 0.60/0.82  % SZS status Theorem for theBenchmark
% 0.60/0.82  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.83  % (31362)------------------------------
% 0.60/0.83  % (31362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (31362)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (31362)Memory used [KB]: 1507
% 0.60/0.83  % (31362)Time elapsed: 0.033 s
% 0.60/0.83  % (31362)Instructions burned: 76 (million)
% 0.60/0.83  % (31359)Success in time 0.482 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------