TSTP Solution File: SWC120-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC120-1 : TPTP v8.1.0. Released v2.4.0.
% 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 18:41:51 EDT 2022

% Result   : Unsatisfiable 7.84s 1.44s
% Output   : Refutation 7.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  154
% Syntax   : Number of formulae    :  696 (  39 unt;   0 def)
%            Number of atoms       : 2025 ( 346 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 2512 (1183   ~;1218   |;   0   &)
%                                         ( 111 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :  126 ( 124 usr; 112 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  129 ( 129   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2053,plain,
    $false,
    inference(avatar_smt_refutation,[],[f244,f249,f254,f259,f272,f281,f286,f291,f292,f297,f302,f307,f313,f330,f335,f340,f341,f342,f349,f354,f355,f356,f357,f364,f372,f377,f382,f390,f395,f403,f417,f422,f427,f432,f433,f438,f447,f452,f461,f462,f468,f474,f477,f492,f506,f524,f529,f534,f548,f553,f558,f563,f569,f574,f576,f601,f629,f634,f638,f649,f654,f661,f669,f679,f736,f740,f751,f755,f759,f774,f809,f814,f819,f863,f869,f874,f879,f903,f907,f914,f921,f948,f954,f955,f956,f963,f964,f965,f966,f967,f968,f973,f974,f976,f977,f979,f1008,f1013,f1015,f1016,f1017,f1022,f1023,f1025,f1035,f1069,f1072,f1075,f1081,f1082,f1084,f1085,f1086,f1135,f1162,f1163,f1164,f1170,f1171,f1172,f1173,f1175,f1181,f1203,f1204,f1206,f1209,f1212,f1215,f1220,f1240,f1243,f1245,f1246,f1254,f1255,f1258,f1259,f1264,f1265,f1266,f1267,f1269,f1270,f1272,f1273,f1280,f1283,f1285,f1320,f1325,f1329,f1332,f1333,f1334,f1335,f1341,f1342,f1343,f1347,f1349,f1350,f1352,f1353,f1376,f1377,f1379,f1381,f1383,f1422,f1431,f1441,f1442,f1443,f1445,f1446,f1447,f1450,f1456,f1458,f1530,f1548,f1558,f1566,f1567,f1568,f1572,f1575,f1577,f1579,f1581,f1582,f1585,f1586,f1587,f1589,f1590,f1591,f1595,f1596,f1597,f1598,f1635,f1636,f1640,f1641,f1644,f1646,f1651,f1653,f1655,f1656,f1657,f1663,f1665,f1667,f1668,f1671,f1673,f1718,f1720,f1721,f1729,f1733,f1735,f1737,f1738,f1754,f1759,f1764,f1768,f1770,f1772,f1773,f1791,f1848,f1849,f1873,f1874,f2013,f2051,f2052]) ).

fof(f2052,plain,
    ( ~ spl0_14
    | spl0_31
    | spl0_111 ),
    inference(avatar_split_clause,[],[f2049,f2010,f400,f304]) ).

fof(f304,plain,
    ( spl0_14
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f400,plain,
    ( spl0_31
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2010,plain,
    ( spl0_111
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f2049,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_111 ),
    inference(resolution,[],[f2012,f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f2012,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_111 ),
    inference(avatar_component_clause,[],[f2010]) ).

fof(f2051,plain,
    ( ~ spl0_22
    | spl0_111 ),
    inference(avatar_contradiction_clause,[],[f2050]) ).

fof(f2050,plain,
    ( $false
    | ~ spl0_22
    | spl0_111 ),
    inference(resolution,[],[f2012,f345]) ).

fof(f345,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f344,plain,
    ( spl0_22
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f2013,plain,
    ( ~ spl0_111
    | ~ spl0_14
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2008,f945,f304,f2010]) ).

fof(f945,plain,
    ( spl0_72
  <=> sk4 = cons(hd(sk4),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2008,plain,
    ( ~ ssList(sk4)
    | ~ ssItem(hd(sk4))
    | ~ spl0_72 ),
    inference(trivial_inequality_removal,[],[f2007]) ).

fof(f2007,plain,
    ( ~ ssItem(hd(sk4))
    | sk4 != sk4
    | ~ ssList(sk4)
    | ~ spl0_72 ),
    inference(superposition,[],[f99,f947]) ).

fof(f947,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f1874,plain,
    ( ~ spl0_9
    | spl0_110
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1867,f392,f304,f1871,f278]) ).

fof(f278,plain,
    ( spl0_9
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1871,plain,
    ( spl0_110
  <=> ! [X0] :
        ( ~ ssList(X0)
        | sk4 != app(X0,sk4)
        | nil = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f392,plain,
    ( spl0_30
  <=> sk4 = app(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1867,plain,
    ( ! [X0] :
        ( sk4 != app(X0,sk4)
        | nil = X0
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(superposition,[],[f708,f394]) ).

fof(f394,plain,
    ( sk4 = app(nil,sk4)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f708,plain,
    ( ! [X14,X13] :
        ( app(X13,sk4) != app(X14,sk4)
        | ~ ssList(X13)
        | ~ ssList(X14)
        | X13 = X14 )
    | ~ spl0_14 ),
    inference(resolution,[],[f151,f306]) ).

fof(f306,plain,
    ( ssList(sk4)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | X0 = X2
      | ~ ssList(X0)
      | ~ ssList(X2)
      | app(X0,X1) != app(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f1873,plain,
    ( spl0_110
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f1866,f392,f304,f278,f1871]) ).

fof(f1866,plain,
    ( ! [X0] :
        ( ~ ssList(nil)
        | ~ ssList(X0)
        | nil = X0
        | sk4 != app(X0,sk4) )
    | ~ spl0_14
    | ~ spl0_30 ),
    inference(superposition,[],[f708,f394]) ).

fof(f1849,plain,
    ( ~ spl0_9
    | spl0_109
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1842,f379,f304,f1846,f278]) ).

fof(f1846,plain,
    ( spl0_109
  <=> ! [X0] :
        ( ~ ssList(X0)
        | sk4 != app(sk4,X0)
        | nil = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f379,plain,
    ( spl0_28
  <=> sk4 = app(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1842,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | sk4 != app(sk4,X0)
        | ~ ssList(nil)
        | nil = X0 )
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(superposition,[],[f698,f381]) ).

fof(f381,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f698,plain,
    ( ! [X14,X13] :
        ( app(sk4,X14) != app(sk4,X13)
        | ~ ssList(X13)
        | ~ ssList(X14)
        | X13 = X14 )
    | ~ spl0_14 ),
    inference(resolution,[],[f150,f306]) ).

fof(f150,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | X1 = X2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | app(X0,X1) != app(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f1848,plain,
    ( spl0_109
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1841,f379,f304,f278,f1846]) ).

fof(f1841,plain,
    ( ! [X0] :
        ( ~ ssList(nil)
        | ~ ssList(X0)
        | nil = X0
        | sk4 != app(sk4,X0) )
    | ~ spl0_14
    | ~ spl0_28 ),
    inference(superposition,[],[f698,f381]) ).

fof(f1791,plain,
    ( ~ spl0_108
    | ~ spl0_48
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1776,f1648,f555,f1788]) ).

fof(f1788,plain,
    ( spl0_108
  <=> tl(nil) = app(tl(nil),tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f555,plain,
    ( spl0_48
  <=> nil = app(nil,tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1648,plain,
    ( spl0_101
  <=> app(tl(nil),tl(nil)) = tl(app(nil,tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1776,plain,
    ( tl(nil) != app(tl(nil),tl(nil))
    | ~ spl0_48
    | spl0_101 ),
    inference(backward_demodulation,[],[f1649,f556]) ).

fof(f556,plain,
    ( nil = app(nil,tl(nil))
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f1649,plain,
    ( app(tl(nil),tl(nil)) != tl(app(nil,tl(nil)))
    | spl0_101 ),
    inference(avatar_component_clause,[],[f1648]) ).

fof(f1773,plain,
    ( ~ spl0_50
    | ~ spl0_41
    | spl0_44 ),
    inference(avatar_split_clause,[],[f564,f526,f503,f566]) ).

fof(f566,plain,
    ( spl0_50
  <=> nil = cons(hd(nil),tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f503,plain,
    ( spl0_41
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f526,plain,
    ( spl0_44
  <=> sk3 = cons(hd(sk3),tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f564,plain,
    ( nil != cons(hd(nil),tl(nil))
    | ~ spl0_41
    | spl0_44 ),
    inference(forward_demodulation,[],[f527,f505]) ).

fof(f505,plain,
    ( nil = sk3
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f527,plain,
    ( sk3 != cons(hd(sk3),tl(sk3))
    | spl0_44 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f1772,plain,
    ( ~ spl0_50
    | ~ spl0_41
    | spl0_44 ),
    inference(avatar_split_clause,[],[f1771,f526,f503,f566]) ).

fof(f1771,plain,
    ( nil != cons(hd(nil),tl(nil))
    | ~ spl0_41
    | spl0_44 ),
    inference(forward_demodulation,[],[f527,f505]) ).

fof(f1770,plain,
    ( spl0_48
    | ~ spl0_32
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1769,f503,f414,f555]) ).

fof(f414,plain,
    ( spl0_32
  <=> nil = app(sk3,tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1769,plain,
    ( nil = app(nil,tl(nil))
    | ~ spl0_32
    | ~ spl0_41 ),
    inference(forward_demodulation,[],[f415,f505]) ).

fof(f415,plain,
    ( nil = app(sk3,tl(nil))
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1768,plain,
    ( spl0_48
    | spl0_107
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1746,f545,f1766,f555]) ).

fof(f1766,plain,
    ( spl0_107
  <=> ! [X0] :
        ( ~ ssList(X0)
        | app(tl(app(nil,tl(nil))),X0) = tl(app(app(nil,tl(nil)),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f545,plain,
    ( spl0_46
  <=> ssList(app(nil,tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1746,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = app(nil,tl(nil))
        | app(tl(app(nil,tl(nil))),X0) = tl(app(app(nil,tl(nil)),X0)) )
    | ~ spl0_46 ),
    inference(resolution,[],[f546,f133]) ).

fof(f133,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | tl(app(X1,X0)) = app(tl(X1),X0)
      | nil = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).

fof(f546,plain,
    ( ssList(app(nil,tl(nil)))
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f1764,plain,
    ( spl0_106
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1743,f545,f1761]) ).

fof(f1761,plain,
    ( spl0_106
  <=> app(app(nil,tl(nil)),nil) = app(nil,tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1743,plain,
    ( app(app(nil,tl(nil)),nil) = app(nil,tl(nil))
    | ~ spl0_46 ),
    inference(resolution,[],[f546,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f1759,plain,
    ( spl0_105
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1744,f545,f1756]) ).

fof(f1756,plain,
    ( spl0_105
  <=> app(nil,app(nil,tl(nil))) = app(nil,tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1744,plain,
    ( app(nil,app(nil,tl(nil))) = app(nil,tl(nil))
    | ~ spl0_46 ),
    inference(resolution,[],[f546,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f1754,plain,
    ( spl0_48
    | spl0_104
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1745,f545,f1751,f555]) ).

fof(f1751,plain,
    ( spl0_104
  <=> app(nil,tl(nil)) = cons(hd(app(nil,tl(nil))),tl(app(nil,tl(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1745,plain,
    ( app(nil,tl(nil)) = cons(hd(app(nil,tl(nil))),tl(app(nil,tl(nil))))
    | nil = app(nil,tl(nil))
    | ~ spl0_46 ),
    inference(resolution,[],[f546,f104]) ).

fof(f104,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f1738,plain,
    ( ~ spl0_36
    | ~ spl0_41
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1410,f1129,f503,f435]) ).

fof(f435,plain,
    ( spl0_36
  <=> ssList(tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1129,plain,
    ( spl0_81
  <=> ssList(tl(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1410,plain,
    ( ~ ssList(tl(nil))
    | ~ spl0_41
    | spl0_81 ),
    inference(backward_demodulation,[],[f1131,f505]) ).

fof(f1131,plain,
    ( ~ ssList(tl(sk3))
    | spl0_81 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1737,plain,
    ( ~ spl0_103
    | ~ spl0_51
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1736,f1632,f598,f1726]) ).

fof(f1726,plain,
    ( spl0_103
  <=> app(sk4,tl(nil)) = tl(app(sk4,tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f598,plain,
    ( spl0_51
  <=> sk4 = tl(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1632,plain,
    ( spl0_100
  <=> app(tl(sk4),tl(nil)) = tl(app(sk4,tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1736,plain,
    ( app(sk4,tl(nil)) != tl(app(sk4,tl(nil)))
    | ~ spl0_51
    | spl0_100 ),
    inference(forward_demodulation,[],[f1633,f599]) ).

fof(f599,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f1633,plain,
    ( app(tl(sk4),tl(nil)) != tl(app(sk4,tl(nil)))
    | spl0_100 ),
    inference(avatar_component_clause,[],[f1632]) ).

fof(f1735,plain,
    ( ~ spl0_36
    | ~ spl0_41
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1734,f1129,f503,f435]) ).

fof(f1734,plain,
    ( ~ ssList(tl(nil))
    | ~ spl0_41
    | spl0_81 ),
    inference(forward_demodulation,[],[f1131,f505]) ).

fof(f1733,plain,
    ( ~ spl0_36
    | spl0_99
    | ~ spl0_9
    | ~ spl0_41
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1732,f866,f503,f278,f1570,f435]) ).

fof(f1570,plain,
    ( spl0_99
  <=> ! [X0] :
        ( segmentP(app(X0,tl(nil)),tl(nil))
        | ~ ssList(app(X0,tl(nil)))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f866,plain,
    ( spl0_67
  <=> app(tl(sk3),nil) = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1732,plain,
    ( ! [X0] :
        ( ~ ssList(nil)
        | segmentP(app(X0,tl(nil)),tl(nil))
        | ~ ssList(app(X0,tl(nil)))
        | ~ ssList(X0)
        | ~ ssList(tl(nil)) )
    | ~ spl0_41
    | ~ spl0_67 ),
    inference(forward_demodulation,[],[f1731,f505]) ).

fof(f1731,plain,
    ( ! [X0] :
        ( segmentP(app(X0,tl(nil)),tl(nil))
        | ~ ssList(nil)
        | ~ ssList(app(X0,tl(nil)))
        | ~ ssList(X0)
        | ~ ssList(tl(sk3)) )
    | ~ spl0_41
    | ~ spl0_67 ),
    inference(forward_demodulation,[],[f1730,f505]) ).

fof(f1730,plain,
    ( ! [X0] :
        ( segmentP(app(X0,tl(sk3)),tl(sk3))
        | ~ ssList(tl(sk3))
        | ~ ssList(app(X0,tl(nil)))
        | ~ ssList(nil)
        | ~ ssList(X0) )
    | ~ spl0_41
    | ~ spl0_67 ),
    inference(forward_demodulation,[],[f1510,f505]) ).

fof(f1510,plain,
    ( ! [X0] :
        ( ~ ssList(app(X0,tl(sk3)))
        | ~ ssList(nil)
        | segmentP(app(X0,tl(sk3)),tl(sk3))
        | ~ ssList(tl(sk3))
        | ~ ssList(X0) )
    | ~ spl0_67 ),
    inference(superposition,[],[f359,f868]) ).

fof(f868,plain,
    ( app(tl(sk3),nil) = tl(sk3)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f359,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(X0,app(X1,X2)))
      | segmentP(app(X0,app(X1,X2)),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(forward_subsumption_demodulation,[],[f358,f149]) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f358,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(app(X0,app(X1,X2)))
      | segmentP(app(app(X0,X1),X2),X1) ),
    inference(forward_subsumption_demodulation,[],[f221,f149]) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X2)
      | segmentP(X3,X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | app(app(X0,X1),X2) != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f1729,plain,
    ( ~ spl0_103
    | ~ spl0_41
    | ~ spl0_51
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1724,f1527,f598,f503,f1726]) ).

fof(f1527,plain,
    ( spl0_95
  <=> app(tl(sk4),tl(sk3)) = tl(app(sk4,tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1724,plain,
    ( app(sk4,tl(nil)) != tl(app(sk4,tl(nil)))
    | ~ spl0_41
    | ~ spl0_51
    | spl0_95 ),
    inference(forward_demodulation,[],[f1723,f599]) ).

fof(f1723,plain,
    ( app(tl(sk4),tl(nil)) != tl(app(sk4,tl(nil)))
    | ~ spl0_41
    | spl0_95 ),
    inference(forward_demodulation,[],[f1528,f505]) ).

fof(f1528,plain,
    ( app(tl(sk4),tl(sk3)) != tl(app(sk4,tl(sk3)))
    | spl0_95 ),
    inference(avatar_component_clause,[],[f1527]) ).

fof(f1721,plain,
    ( ~ spl0_36
    | ~ spl0_41
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1200,f1129,f503,f435]) ).

fof(f1200,plain,
    ( ~ ssList(tl(nil))
    | ~ spl0_41
    | spl0_81 ),
    inference(backward_demodulation,[],[f1131,f505]) ).

fof(f1720,plain,
    ( ~ spl0_40
    | ~ spl0_41
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1719,f1322,f503,f471]) ).

fof(f471,plain,
    ( spl0_40
  <=> tl(nil) = app(nil,tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1322,plain,
    ( spl0_89
  <=> app(nil,tl(sk3)) = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1719,plain,
    ( tl(nil) != app(nil,tl(nil))
    | ~ spl0_41
    | spl0_89 ),
    inference(forward_demodulation,[],[f1323,f505]) ).

fof(f1323,plain,
    ( app(nil,tl(sk3)) != tl(sk3)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f1322]) ).

fof(f1718,plain,
    ( ~ spl0_40
    | ~ spl0_41
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1412,f1322,f503,f471]) ).

fof(f1412,plain,
    ( tl(nil) != app(nil,tl(nil))
    | ~ spl0_41
    | spl0_89 ),
    inference(backward_demodulation,[],[f1323,f505]) ).

fof(f1673,plain,
    ( ~ spl0_71
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1672,f876,f503,f392,f918]) ).

fof(f918,plain,
    ( spl0_71
  <=> tl(sk4) = app(tl(nil),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f876,plain,
    ( spl0_69
  <=> tl(app(sk3,sk4)) = app(tl(sk3),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1672,plain,
    ( tl(sk4) != app(tl(nil),sk4)
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(forward_demodulation,[],[f1060,f394]) ).

fof(f1060,plain,
    ( app(tl(nil),sk4) != tl(app(nil,sk4))
    | ~ spl0_41
    | spl0_69 ),
    inference(backward_demodulation,[],[f877,f505]) ).

fof(f877,plain,
    ( tl(app(sk3,sk4)) != app(tl(sk3),sk4)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f1671,plain,
    ( ~ spl0_70
    | ~ spl0_17
    | ~ spl0_41
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1670,f960,f503,f319,f911]) ).

fof(f911,plain,
    ( spl0_70
  <=> tl(sk4) = app(tl(nil),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f319,plain,
    ( spl0_17
  <=> sk4 = app(sk3,tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f960,plain,
    ( spl0_74
  <=> app(tl(sk3),tl(sk4)) = tl(app(sk3,tl(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1670,plain,
    ( tl(sk4) != app(tl(nil),tl(sk4))
    | ~ spl0_17
    | ~ spl0_41
    | spl0_74 ),
    inference(forward_demodulation,[],[f978,f505]) ).

fof(f978,plain,
    ( tl(sk4) != app(tl(sk3),tl(sk4))
    | ~ spl0_17
    | spl0_74 ),
    inference(forward_demodulation,[],[f961,f321]) ).

fof(f321,plain,
    ( sk4 = app(sk3,tl(sk4))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f961,plain,
    ( app(tl(sk3),tl(sk4)) != tl(app(sk3,tl(sk4)))
    | spl0_74 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f1668,plain,
    ( ~ spl0_71
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1067,f876,f503,f392,f918]) ).

fof(f1067,plain,
    ( tl(sk4) != app(tl(nil),sk4)
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(forward_demodulation,[],[f1060,f394]) ).

fof(f1667,plain,
    ( spl0_47
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f538,f503,f319,f550]) ).

fof(f550,plain,
    ( spl0_47
  <=> sk4 = app(nil,tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f538,plain,
    ( sk4 = app(nil,tl(sk4))
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(backward_demodulation,[],[f321,f505]) ).

fof(f1665,plain,
    ( spl0_51
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1664,f1010,f503,f379,f598]) ).

fof(f1010,plain,
    ( spl0_77
  <=> app(sk4,sk3) = tl(app(sk4,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1664,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_77 ),
    inference(forward_demodulation,[],[f1198,f381]) ).

fof(f1198,plain,
    ( tl(app(sk4,nil)) = app(sk4,nil)
    | ~ spl0_41
    | ~ spl0_77 ),
    inference(backward_demodulation,[],[f1012,f505]) ).

fof(f1012,plain,
    ( app(sk4,sk3) = tl(app(sk4,sk3))
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1663,plain,
    ( spl0_102
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1658,f1178,f503,f379,f1660]) ).

fof(f1660,plain,
    ( spl0_102
  <=> sk4 = app(tl(sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1178,plain,
    ( spl0_84
  <=> app(sk4,sk3) = app(tl(sk4),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1658,plain,
    ( sk4 = app(tl(sk4),nil)
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_84 ),
    inference(forward_demodulation,[],[f1432,f381]) ).

fof(f1432,plain,
    ( app(tl(sk4),nil) = app(sk4,nil)
    | ~ spl0_41
    | ~ spl0_84 ),
    inference(forward_demodulation,[],[f1180,f505]) ).

fof(f1180,plain,
    ( app(sk4,sk3) = app(tl(sk4),sk3)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f1657,plain,
    ( ~ spl0_70
    | ~ spl0_41
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1613,f860,f503,f911]) ).

fof(f860,plain,
    ( spl0_66
  <=> tl(sk4) = app(tl(sk3),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1613,plain,
    ( tl(sk4) != app(tl(nil),tl(sk4))
    | ~ spl0_41
    | spl0_66 ),
    inference(backward_demodulation,[],[f861,f505]) ).

fof(f861,plain,
    ( tl(sk4) != app(tl(sk3),tl(sk4))
    | spl0_66 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f1656,plain,
    ( spl0_47
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1600,f503,f319,f550]) ).

fof(f1600,plain,
    ( sk4 = app(nil,tl(sk4))
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(backward_demodulation,[],[f321,f505]) ).

fof(f1655,plain,
    ( ~ spl0_71
    | ~ spl0_41
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1620,f1167,f503,f918]) ).

fof(f1167,plain,
    ( spl0_83
  <=> tl(sk4) = app(tl(sk3),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1620,plain,
    ( tl(sk4) != app(tl(nil),sk4)
    | ~ spl0_41
    | spl0_83 ),
    inference(backward_demodulation,[],[f1168,f505]) ).

fof(f1168,plain,
    ( tl(sk4) != app(tl(sk3),sk4)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1653,plain,
    ( spl0_99
    | ~ spl0_41
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1652,f1133,f503,f1570]) ).

fof(f1133,plain,
    ( spl0_82
  <=> ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(app(X0,tl(sk3)))
        | segmentP(app(X0,tl(sk3)),tl(sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1652,plain,
    ( ! [X0] :
        ( segmentP(app(X0,tl(nil)),tl(nil))
        | ~ ssList(X0)
        | ~ ssList(app(X0,tl(nil))) )
    | ~ spl0_41
    | ~ spl0_82 ),
    inference(forward_demodulation,[],[f1619,f505]) ).

fof(f1619,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(app(X0,tl(sk3)))
        | segmentP(app(X0,tl(nil)),tl(nil)) )
    | ~ spl0_41
    | ~ spl0_82 ),
    inference(backward_demodulation,[],[f1134,f505]) ).

fof(f1134,plain,
    ( ! [X0] :
        ( ~ ssList(app(X0,tl(sk3)))
        | ~ ssList(X0)
        | segmentP(app(X0,tl(sk3)),tl(sk3)) )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f1651,plain,
    ( spl0_101
    | ~ spl0_41
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1629,f1545,f503,f1648]) ).

fof(f1545,plain,
    ( spl0_96
  <=> app(tl(sk3),tl(sk3)) = tl(app(sk3,tl(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1629,plain,
    ( app(tl(nil),tl(nil)) = tl(app(nil,tl(nil)))
    | ~ spl0_41
    | ~ spl0_96 ),
    inference(backward_demodulation,[],[f1547,f505]) ).

fof(f1547,plain,
    ( app(tl(sk3),tl(sk3)) = tl(app(sk3,tl(sk3)))
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f1545]) ).

fof(f1646,plain,
    ( ~ spl0_76
    | ~ spl0_41
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1617,f1032,f503,f1005]) ).

fof(f1005,plain,
    ( spl0_76
  <=> sk4 = app(tl(nil),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1032,plain,
    ( spl0_79
  <=> sk4 = app(tl(sk3),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1617,plain,
    ( sk4 != app(tl(nil),sk4)
    | ~ spl0_41
    | spl0_79 ),
    inference(backward_demodulation,[],[f1034,f505]) ).

fof(f1034,plain,
    ( sk4 != app(tl(sk3),sk4)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1644,plain,
    ( spl0_40
    | ~ spl0_41
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1623,f1322,f503,f471]) ).

fof(f1623,plain,
    ( tl(nil) = app(nil,tl(nil))
    | ~ spl0_41
    | ~ spl0_89 ),
    inference(backward_demodulation,[],[f1324,f505]) ).

fof(f1324,plain,
    ( app(nil,tl(sk3)) = tl(sk3)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f1322]) ).

fof(f1641,plain,
    ( spl0_46
    | ~ spl0_34
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1604,f503,f424,f545]) ).

fof(f424,plain,
    ( spl0_34
  <=> ssList(app(sk3,tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1604,plain,
    ( ssList(app(nil,tl(nil)))
    | ~ spl0_34
    | ~ spl0_41 ),
    inference(backward_demodulation,[],[f425,f505]) ).

fof(f425,plain,
    ( ssList(app(sk3,tl(nil)))
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f1640,plain,
    ( spl0_36
    | ~ spl0_41
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1618,f1129,f503,f435]) ).

fof(f1618,plain,
    ( ssList(tl(nil))
    | ~ spl0_41
    | ~ spl0_81 ),
    inference(backward_demodulation,[],[f1130,f505]) ).

fof(f1130,plain,
    ( ssList(tl(sk3))
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1636,plain,
    ( spl0_93
    | ~ spl0_41
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1622,f1317,f503,f1428]) ).

fof(f1428,plain,
    ( spl0_93
  <=> tl(nil) = cons(hd(tl(nil)),tl(tl(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1317,plain,
    ( spl0_88
  <=> cons(hd(tl(sk3)),tl(tl(sk3))) = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1622,plain,
    ( tl(nil) = cons(hd(tl(nil)),tl(tl(nil)))
    | ~ spl0_41
    | ~ spl0_88 ),
    inference(backward_demodulation,[],[f1319,f505]) ).

fof(f1319,plain,
    ( cons(hd(tl(sk3)),tl(tl(sk3))) = tl(sk3)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f1317]) ).

fof(f1635,plain,
    ( spl0_100
    | ~ spl0_41
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1628,f1527,f503,f1632]) ).

fof(f1628,plain,
    ( app(tl(sk4),tl(nil)) = tl(app(sk4,tl(nil)))
    | ~ spl0_41
    | ~ spl0_95 ),
    inference(backward_demodulation,[],[f1529,f505]) ).

fof(f1529,plain,
    ( app(tl(sk4),tl(sk3)) = tl(app(sk4,tl(sk3)))
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f1527]) ).

fof(f1598,plain,
    ( ~ spl0_76
    | ~ spl0_51
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1003,f918,f598,f1005]) ).

fof(f1003,plain,
    ( sk4 != app(tl(nil),sk4)
    | ~ spl0_51
    | spl0_71 ),
    inference(backward_demodulation,[],[f920,f599]) ).

fof(f920,plain,
    ( tl(sk4) != app(tl(nil),sk4)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f1597,plain,
    ( spl0_47
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1183,f503,f319,f550]) ).

fof(f1183,plain,
    ( sk4 = app(nil,tl(sk4))
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(backward_demodulation,[],[f321,f505]) ).

fof(f1596,plain,
    ( ~ spl0_70
    | ~ spl0_41
    | spl0_66 ),
    inference(avatar_split_clause,[],[f909,f860,f503,f911]) ).

fof(f909,plain,
    ( tl(sk4) != app(tl(nil),tl(sk4))
    | ~ spl0_41
    | spl0_66 ),
    inference(forward_demodulation,[],[f861,f505]) ).

fof(f1595,plain,
    ( ~ spl0_76
    | ~ spl0_41
    | ~ spl0_51
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1071,f860,f598,f503,f1005]) ).

fof(f1071,plain,
    ( sk4 != app(tl(nil),sk4)
    | ~ spl0_41
    | ~ spl0_51
    | spl0_66 ),
    inference(forward_demodulation,[],[f909,f599]) ).

fof(f1591,plain,
    ( ~ spl0_71
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(avatar_split_clause,[],[f916,f876,f503,f392,f918]) ).

fof(f916,plain,
    ( tl(sk4) != app(tl(nil),sk4)
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(forward_demodulation,[],[f915,f394]) ).

fof(f915,plain,
    ( app(tl(nil),sk4) != tl(app(nil,sk4))
    | ~ spl0_41
    | spl0_69 ),
    inference(forward_demodulation,[],[f877,f505]) ).

fof(f1590,plain,
    ( ~ spl0_71
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1073,f876,f503,f392,f918]) ).

fof(f1073,plain,
    ( tl(sk4) != app(tl(nil),sk4)
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(forward_demodulation,[],[f915,f394]) ).

fof(f1589,plain,
    ( spl0_51
    | ~ spl0_78
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1386,f1277,f1019,f598]) ).

fof(f1019,plain,
    ( spl0_78
  <=> sk4 = app(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1277,plain,
    ( spl0_86
  <=> sk4 = tl(app(sk3,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1386,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_78
    | ~ spl0_86 ),
    inference(forward_demodulation,[],[f1279,f1021]) ).

fof(f1021,plain,
    ( sk4 = app(sk3,sk4)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f1019]) ).

fof(f1279,plain,
    ( sk4 = tl(app(sk3,sk4))
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f1277]) ).

fof(f1587,plain,
    ( spl0_51
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1346,f550,f444,f598]) ).

fof(f444,plain,
    ( spl0_37
  <=> tl(sk4) = app(nil,tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1346,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(backward_demodulation,[],[f446,f552]) ).

fof(f552,plain,
    ( sk4 = app(nil,tl(sk4))
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f446,plain,
    ( tl(sk4) = app(nil,tl(sk4))
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f1586,plain,
    ( spl0_80
    | ~ spl0_65
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1076,f951,f816,f1078]) ).

fof(f1078,plain,
    ( spl0_80
  <=> app(sk4,sk4) = app(tl(sk4),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f816,plain,
    ( spl0_65
  <=> tl(app(sk4,sk4)) = app(tl(sk4),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f951,plain,
    ( spl0_73
  <=> tl(app(sk4,sk4)) = app(sk4,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1076,plain,
    ( app(sk4,sk4) = app(tl(sk4),sk4)
    | ~ spl0_65
    | ~ spl0_73 ),
    inference(forward_demodulation,[],[f818,f953]) ).

fof(f953,plain,
    ( tl(app(sk4,sk4)) = app(sk4,sk4)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f818,plain,
    ( tl(app(sk4,sk4)) = app(tl(sk4),sk4)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f1585,plain,
    ( spl0_47
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f882,f503,f319,f550]) ).

fof(f882,plain,
    ( sk4 = app(nil,tl(sk4))
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(backward_demodulation,[],[f321,f505]) ).

fof(f1582,plain,
    ( spl0_77
    | ~ spl0_51
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f998,f811,f598,f1010]) ).

fof(f811,plain,
    ( spl0_64
  <=> app(tl(sk4),sk3) = tl(app(sk4,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f998,plain,
    ( app(sk4,sk3) = tl(app(sk4,sk3))
    | ~ spl0_51
    | ~ spl0_64 ),
    inference(backward_demodulation,[],[f813,f599]) ).

fof(f813,plain,
    ( app(tl(sk4),sk3) = tl(app(sk4,sk3))
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f1581,plain,
    ( ~ spl0_76
    | ~ spl0_30
    | ~ spl0_41
    | ~ spl0_51
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1074,f876,f598,f503,f392,f1005]) ).

fof(f1074,plain,
    ( sk4 != app(tl(nil),sk4)
    | ~ spl0_30
    | ~ spl0_41
    | ~ spl0_51
    | spl0_69 ),
    inference(forward_demodulation,[],[f1073,f599]) ).

fof(f1579,plain,
    ( spl0_80
    | ~ spl0_65
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1578,f951,f816,f1078]) ).

fof(f1578,plain,
    ( app(sk4,sk4) = app(tl(sk4),sk4)
    | ~ spl0_65
    | ~ spl0_73 ),
    inference(backward_demodulation,[],[f818,f953]) ).

fof(f1577,plain,
    ( ~ spl0_71
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1576,f876,f503,f392,f918]) ).

fof(f1576,plain,
    ( tl(sk4) != app(tl(nil),sk4)
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(forward_demodulation,[],[f915,f394]) ).

fof(f1575,plain,
    ( spl0_72
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1359,f598,f531,f945]) ).

fof(f531,plain,
    ( spl0_45
  <=> sk4 = cons(hd(sk4),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1359,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(backward_demodulation,[],[f533,f599]) ).

fof(f533,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f1572,plain,
    ( spl0_99
    | ~ spl0_9
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1506,f465,f435,f278,f1570]) ).

fof(f465,plain,
    ( spl0_39
  <=> tl(nil) = app(tl(nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1506,plain,
    ( ! [X0] :
        ( ~ ssList(tl(nil))
        | ~ ssList(nil)
        | segmentP(app(X0,tl(nil)),tl(nil))
        | ~ ssList(X0)
        | ~ ssList(app(X0,tl(nil))) )
    | ~ spl0_39 ),
    inference(superposition,[],[f359,f466]) ).

fof(f466,plain,
    ( tl(nil) = app(tl(nil),nil)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f1568,plain,
    ( spl0_84
    | ~ spl0_64
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1176,f1010,f811,f1178]) ).

fof(f1176,plain,
    ( app(sk4,sk3) = app(tl(sk4),sk3)
    | ~ spl0_64
    | ~ spl0_77 ),
    inference(backward_demodulation,[],[f813,f1012]) ).

fof(f1567,plain,
    ( ~ spl0_9
    | ~ spl0_14
    | spl0_6
    | ~ spl0_30
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1560,f757,f392,f265,f304,f278]) ).

fof(f265,plain,
    ( spl0_6
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f757,plain,
    ( spl0_61
  <=> ! [X2] :
        ( ~ ssList(app(X2,sk4))
        | ~ ssList(X2)
        | segmentP(app(X2,sk4),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1560,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | ~ spl0_30
    | ~ spl0_61 ),
    inference(superposition,[],[f758,f394]) ).

fof(f758,plain,
    ( ! [X2] :
        ( ~ ssList(app(X2,sk4))
        | segmentP(app(X2,sk4),sk3)
        | ~ ssList(X2) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f1566,plain,
    ( ~ spl0_14
    | spl0_98
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1562,f757,f1564,f304]) ).

fof(f1564,plain,
    ( spl0_98
  <=> ! [X0] :
        ( ~ ssList(X0)
        | segmentP(app(X0,sk4),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1562,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(sk4)
        | segmentP(app(X0,sk4),sk3) )
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f1559]) ).

fof(f1559,plain,
    ( ! [X0] :
        ( ~ ssList(sk4)
        | ~ ssList(X0)
        | segmentP(app(X0,sk4),sk3)
        | ~ ssList(X0) )
    | ~ spl0_61 ),
    inference(resolution,[],[f758,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f1558,plain,
    ( ~ spl0_9
    | spl0_97
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1554,f734,f379,f1556,f278]) ).

fof(f1556,plain,
    ( spl0_97
  <=> ! [X0] :
        ( ~ ssList(X0)
        | segmentP(app(X0,sk4),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f734,plain,
    ( spl0_57
  <=> ! [X6,X5] :
        ( ~ ssList(X6)
        | segmentP(app(X6,app(sk4,X5)),nil)
        | ~ ssList(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1554,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(nil)
        | segmentP(app(X0,sk4),nil) )
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(superposition,[],[f735,f381]) ).

fof(f735,plain,
    ( ! [X6,X5] :
        ( segmentP(app(X6,app(sk4,X5)),nil)
        | ~ ssList(X5)
        | ~ ssList(X6) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f1548,plain,
    ( spl0_96
    | ~ spl0_53
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1541,f1129,f632,f1545]) ).

fof(f632,plain,
    ( spl0_53
  <=> ! [X7] :
        ( tl(app(sk3,X7)) = app(tl(sk3),X7)
        | ~ ssList(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1541,plain,
    ( app(tl(sk3),tl(sk3)) = tl(app(sk3,tl(sk3)))
    | ~ spl0_53
    | ~ spl0_81 ),
    inference(resolution,[],[f633,f1130]) ).

fof(f633,plain,
    ( ! [X7] :
        ( ~ ssList(X7)
        | tl(app(sk3,X7)) = app(tl(sk3),X7) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f1530,plain,
    ( spl0_95
    | ~ spl0_52
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1523,f1129,f627,f1527]) ).

fof(f627,plain,
    ( spl0_52
  <=> ! [X8] :
        ( app(tl(sk4),X8) = tl(app(sk4,X8))
        | ~ ssList(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1523,plain,
    ( app(tl(sk4),tl(sk3)) = tl(app(sk4,tl(sk3)))
    | ~ spl0_52
    | ~ spl0_81 ),
    inference(resolution,[],[f628,f1130]) ).

fof(f628,plain,
    ( ! [X8] :
        ( ~ ssList(X8)
        | app(tl(sk4),X8) = tl(app(sk4,X8)) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f1458,plain,
    ( spl0_94
    | ~ spl0_19
    | ~ spl0_53
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1457,f860,f632,f327,f1453]) ).

fof(f1453,plain,
    ( spl0_94
  <=> tl(sk4) = tl(app(sk3,tl(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f327,plain,
    ( spl0_19
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1457,plain,
    ( tl(sk4) = tl(app(sk3,tl(sk4)))
    | ~ spl0_19
    | ~ spl0_53
    | ~ spl0_66 ),
    inference(forward_demodulation,[],[f855,f862]) ).

fof(f862,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f855,plain,
    ( app(tl(sk3),tl(sk4)) = tl(app(sk3,tl(sk4)))
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(resolution,[],[f633,f328]) ).

fof(f328,plain,
    ( ssList(tl(sk4))
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f1456,plain,
    ( spl0_94
    | ~ spl0_19
    | ~ spl0_53
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1451,f860,f632,f327,f1453]) ).

fof(f1451,plain,
    ( tl(sk4) = tl(app(sk3,tl(sk4)))
    | ~ spl0_19
    | ~ spl0_53
    | ~ spl0_66 ),
    inference(forward_demodulation,[],[f1156,f862]) ).

fof(f1156,plain,
    ( app(tl(sk3),tl(sk4)) = tl(app(sk3,tl(sk4)))
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(resolution,[],[f633,f328]) ).

fof(f1450,plain,
    ( spl0_67
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1449,f632,f374,f278,f866]) ).

fof(f374,plain,
    ( spl0_27
  <=> sk3 = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1449,plain,
    ( app(tl(sk3),nil) = tl(sk3)
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f847,f376]) ).

fof(f376,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f847,plain,
    ( tl(app(sk3,nil)) = app(tl(sk3),nil)
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(resolution,[],[f633,f279]) ).

fof(f279,plain,
    ( ssList(nil)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f1447,plain,
    ( spl0_67
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f864,f632,f374,f278,f866]) ).

fof(f864,plain,
    ( app(tl(sk3),nil) = tl(sk3)
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f847,f376]) ).

fof(f1446,plain,
    ( spl0_67
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1271,f632,f374,f278,f866]) ).

fof(f1271,plain,
    ( app(tl(sk3),nil) = tl(sk3)
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f1148,f376]) ).

fof(f1148,plain,
    ( tl(app(sk3,nil)) = app(tl(sk3),nil)
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(resolution,[],[f633,f279]) ).

fof(f1445,plain,
    ( spl0_67
    | ~ spl0_9
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1444,f1261,f632,f278,f866]) ).

fof(f1261,plain,
    ( spl0_85
  <=> tl(app(sk3,nil)) = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1444,plain,
    ( app(tl(sk3),nil) = tl(sk3)
    | ~ spl0_9
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(forward_demodulation,[],[f1148,f1263]) ).

fof(f1263,plain,
    ( tl(app(sk3,nil)) = tl(sk3)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f1261]) ).

fof(f1443,plain,
    ( spl0_69
    | ~ spl0_14
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f857,f632,f304,f876]) ).

fof(f857,plain,
    ( tl(app(sk3,sk4)) = app(tl(sk3),sk4)
    | ~ spl0_14
    | ~ spl0_53 ),
    inference(resolution,[],[f633,f306]) ).

fof(f1442,plain,
    ( spl0_69
    | ~ spl0_14
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1158,f632,f304,f876]) ).

fof(f1158,plain,
    ( tl(app(sk3,sk4)) = app(tl(sk3),sk4)
    | ~ spl0_14
    | ~ spl0_53 ),
    inference(resolution,[],[f633,f306]) ).

fof(f1441,plain,
    ( spl0_85
    | ~ spl0_9
    | ~ spl0_53
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1159,f866,f632,f278,f1261]) ).

fof(f1159,plain,
    ( tl(app(sk3,nil)) = tl(sk3)
    | ~ spl0_9
    | ~ spl0_53
    | ~ spl0_67 ),
    inference(forward_demodulation,[],[f1148,f868]) ).

fof(f1431,plain,
    ( ~ spl0_93
    | ~ spl0_41
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1426,f1317,f503,f1428]) ).

fof(f1426,plain,
    ( tl(nil) != cons(hd(tl(nil)),tl(tl(nil)))
    | ~ spl0_41
    | spl0_88 ),
    inference(forward_demodulation,[],[f1318,f505]) ).

fof(f1318,plain,
    ( cons(hd(tl(sk3)),tl(tl(sk3))) != tl(sk3)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f1317]) ).

fof(f1422,plain,
    ( ~ spl0_92
    | ~ spl0_41
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1411,f1313,f503,f1419]) ).

fof(f1419,plain,
    ( spl0_92
  <=> nil = tl(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1313,plain,
    ( spl0_87
  <=> nil = tl(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1411,plain,
    ( nil != tl(nil)
    | ~ spl0_41
    | spl0_87 ),
    inference(backward_demodulation,[],[f1314,f505]) ).

fof(f1314,plain,
    ( nil != tl(sk3)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1383,plain,
    ( spl0_78
    | ~ spl0_17
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1355,f598,f319,f1019]) ).

fof(f1355,plain,
    ( sk4 = app(sk3,sk4)
    | ~ spl0_17
    | ~ spl0_51 ),
    inference(backward_demodulation,[],[f321,f599]) ).

fof(f1381,plain,
    ( spl0_76
    | ~ spl0_51
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1373,f911,f598,f1005]) ).

fof(f1373,plain,
    ( sk4 = app(tl(nil),sk4)
    | ~ spl0_51
    | ~ spl0_70 ),
    inference(backward_demodulation,[],[f912,f599]) ).

fof(f912,plain,
    ( tl(sk4) = app(tl(nil),tl(sk4))
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f1379,plain,
    ( spl0_79
    | ~ spl0_51
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1375,f1167,f598,f1032]) ).

fof(f1375,plain,
    ( sk4 = app(tl(sk3),sk4)
    | ~ spl0_51
    | ~ spl0_83 ),
    inference(backward_demodulation,[],[f1169,f599]) ).

fof(f1169,plain,
    ( tl(sk4) = app(tl(sk3),sk4)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1377,plain,
    ( spl0_79
    | ~ spl0_51
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1372,f860,f598,f1032]) ).

fof(f1372,plain,
    ( sk4 = app(tl(sk3),sk4)
    | ~ spl0_51
    | ~ spl0_66 ),
    inference(backward_demodulation,[],[f862,f599]) ).

fof(f1376,plain,
    ( spl0_76
    | ~ spl0_51
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1374,f918,f598,f1005]) ).

fof(f1374,plain,
    ( sk4 = app(tl(nil),sk4)
    | ~ spl0_51
    | ~ spl0_71 ),
    inference(backward_demodulation,[],[f919,f599]) ).

fof(f919,plain,
    ( tl(sk4) = app(tl(nil),sk4)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f1353,plain,
    ( spl0_51
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f975,f550,f444,f598]) ).

fof(f975,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(backward_demodulation,[],[f446,f552]) ).

fof(f1352,plain,
    ( spl0_51
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1351,f1010,f503,f379,f598]) ).

fof(f1351,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_77 ),
    inference(forward_demodulation,[],[f1198,f381]) ).

fof(f1350,plain,
    ( spl0_51
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1205,f1010,f503,f379,f598]) ).

fof(f1205,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_77 ),
    inference(forward_demodulation,[],[f1198,f381]) ).

fof(f1349,plain,
    ( spl0_84
    | ~ spl0_64
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1348,f1010,f811,f1178]) ).

fof(f1348,plain,
    ( app(sk4,sk3) = app(tl(sk4),sk3)
    | ~ spl0_64
    | ~ spl0_77 ),
    inference(backward_demodulation,[],[f813,f1012]) ).

fof(f1347,plain,
    ( spl0_51
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1346,f550,f444,f598]) ).

fof(f1343,plain,
    ( spl0_76
    | ~ spl0_51
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1244,f911,f598,f1005]) ).

fof(f1244,plain,
    ( sk4 = app(tl(nil),sk4)
    | ~ spl0_51
    | ~ spl0_70 ),
    inference(forward_demodulation,[],[f912,f599]) ).

fof(f1342,plain,
    ( spl0_76
    | ~ spl0_51
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1238,f918,f598,f1005]) ).

fof(f1238,plain,
    ( sk4 = app(tl(nil),sk4)
    | ~ spl0_51
    | ~ spl0_71 ),
    inference(backward_demodulation,[],[f919,f599]) ).

fof(f1341,plain,
    ( spl0_91
    | ~ spl0_69
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1336,f1167,f876,f1338]) ).

fof(f1338,plain,
    ( spl0_91
  <=> tl(sk4) = tl(app(sk3,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1336,plain,
    ( tl(sk4) = tl(app(sk3,sk4))
    | ~ spl0_69
    | ~ spl0_83 ),
    inference(backward_demodulation,[],[f878,f1169]) ).

fof(f878,plain,
    ( tl(app(sk3,sk4)) = app(tl(sk3),sk4)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f1335,plain,
    ( spl0_76
    | ~ spl0_41
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1219,f1032,f503,f1005]) ).

fof(f1219,plain,
    ( sk4 = app(tl(nil),sk4)
    | ~ spl0_41
    | ~ spl0_79 ),
    inference(forward_demodulation,[],[f1033,f505]) ).

fof(f1033,plain,
    ( sk4 = app(tl(sk3),sk4)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1334,plain,
    ( spl0_84
    | ~ spl0_64
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1176,f1010,f811,f1178]) ).

fof(f1333,plain,
    ( spl0_41
    | spl0_53
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1289,f310,f632,f503]) ).

fof(f310,plain,
    ( spl0_15
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1289,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | tl(app(sk3,X0)) = app(tl(sk3),X0)
        | nil = sk3 )
    | ~ spl0_15 ),
    inference(resolution,[],[f312,f133]) ).

fof(f312,plain,
    ( ssList(sk3)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f1332,plain,
    ( spl0_77
    | ~ spl0_51
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f998,f811,f598,f1010]) ).

fof(f1329,plain,
    ( spl0_90
    | spl0_87
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1308,f1129,f1313,f1327]) ).

fof(f1327,plain,
    ( spl0_90
  <=> ! [X0] :
        ( ~ ssList(X0)
        | app(tl(tl(sk3)),X0) = tl(app(tl(sk3),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1308,plain,
    ( ! [X0] :
        ( nil = tl(sk3)
        | ~ ssList(X0)
        | app(tl(tl(sk3)),X0) = tl(app(tl(sk3),X0)) )
    | ~ spl0_81 ),
    inference(resolution,[],[f1130,f133]) ).

fof(f1325,plain,
    ( spl0_89
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1306,f1129,f1322]) ).

fof(f1306,plain,
    ( app(nil,tl(sk3)) = tl(sk3)
    | ~ spl0_81 ),
    inference(resolution,[],[f1130,f74]) ).

fof(f1320,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1307,f1129,f1317,f1313]) ).

fof(f1307,plain,
    ( cons(hd(tl(sk3)),tl(tl(sk3))) = tl(sk3)
    | nil = tl(sk3)
    | ~ spl0_81 ),
    inference(resolution,[],[f1130,f104]) ).

fof(f1285,plain,
    ( spl0_69
    | ~ spl0_14
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1158,f632,f304,f876]) ).

fof(f1283,plain,
    ( spl0_86
    | ~ spl0_14
    | ~ spl0_53
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1282,f1032,f632,f304,f1277]) ).

fof(f1282,plain,
    ( sk4 = tl(app(sk3,sk4))
    | ~ spl0_14
    | ~ spl0_53
    | ~ spl0_79 ),
    inference(forward_demodulation,[],[f1158,f1033]) ).

fof(f1280,plain,
    ( spl0_86
    | ~ spl0_69
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1275,f1032,f876,f1277]) ).

fof(f1275,plain,
    ( sk4 = tl(app(sk3,sk4))
    | ~ spl0_69
    | ~ spl0_79 ),
    inference(forward_demodulation,[],[f878,f1033]) ).

fof(f1273,plain,
    ( spl0_67
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f864,f632,f374,f278,f866]) ).

fof(f1272,plain,
    ( spl0_67
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1271,f632,f374,f278,f866]) ).

fof(f1270,plain,
    ( spl0_69
    | ~ spl0_14
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f857,f632,f304,f876]) ).

fof(f1269,plain,
    ( spl0_67
    | ~ spl0_27
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1268,f970,f374,f866]) ).

fof(f970,plain,
    ( spl0_75
  <=> tl(app(sk3,nil)) = app(tl(sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1268,plain,
    ( app(tl(sk3),nil) = tl(sk3)
    | ~ spl0_27
    | ~ spl0_75 ),
    inference(backward_demodulation,[],[f972,f376]) ).

fof(f972,plain,
    ( tl(app(sk3,nil)) = app(tl(sk3),nil)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f1267,plain,
    ( spl0_75
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f847,f632,f278,f970]) ).

fof(f1266,plain,
    ( ~ spl0_51
    | ~ spl0_37
    | spl0_47 ),
    inference(avatar_split_clause,[],[f762,f550,f444,f598]) ).

fof(f762,plain,
    ( sk4 != tl(sk4)
    | ~ spl0_37
    | spl0_47 ),
    inference(superposition,[],[f551,f446]) ).

fof(f551,plain,
    ( sk4 != app(nil,tl(sk4))
    | spl0_47 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f1265,plain,
    ( ~ spl0_51
    | ~ spl0_37
    | spl0_47 ),
    inference(avatar_split_clause,[],[f593,f550,f444,f598]) ).

fof(f593,plain,
    ( sk4 != tl(sk4)
    | ~ spl0_37
    | spl0_47 ),
    inference(superposition,[],[f551,f446]) ).

fof(f1264,plain,
    ( spl0_85
    | ~ spl0_9
    | ~ spl0_53
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1159,f866,f632,f278,f1261]) ).

fof(f1259,plain,
    ( spl0_66
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f858,f632,f327,f319,f860]) ).

fof(f858,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f855,f321]) ).

fof(f1258,plain,
    ( spl0_66
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1160,f632,f327,f319,f860]) ).

fof(f1160,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(forward_demodulation,[],[f1156,f321]) ).

fof(f1255,plain,
    ( spl0_73
    | ~ spl0_51
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f940,f816,f598,f951]) ).

fof(f940,plain,
    ( tl(app(sk4,sk4)) = app(sk4,sk4)
    | ~ spl0_51
    | ~ spl0_65 ),
    inference(backward_demodulation,[],[f818,f599]) ).

fof(f1254,plain,
    ( spl0_73
    | ~ spl0_51
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f999,f816,f598,f951]) ).

fof(f999,plain,
    ( tl(app(sk4,sk4)) = app(sk4,sk4)
    | ~ spl0_51
    | ~ spl0_65 ),
    inference(backward_demodulation,[],[f818,f599]) ).

fof(f1246,plain,
    ( spl0_73
    | ~ spl0_51
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f939,f806,f598,f951]) ).

fof(f806,plain,
    ( spl0_63
  <=> app(tl(sk4),tl(sk4)) = tl(app(sk4,tl(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f939,plain,
    ( tl(app(sk4,sk4)) = app(sk4,sk4)
    | ~ spl0_51
    | ~ spl0_63 ),
    inference(backward_demodulation,[],[f808,f599]) ).

fof(f808,plain,
    ( app(tl(sk4),tl(sk4)) = tl(app(sk4,tl(sk4)))
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f1245,plain,
    ( spl0_76
    | ~ spl0_51
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1244,f911,f598,f1005]) ).

fof(f1243,plain,
    ( spl0_76
    | ~ spl0_51
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1238,f918,f598,f1005]) ).

fof(f1240,plain,
    ( spl0_73
    | ~ spl0_51
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1237,f806,f598,f951]) ).

fof(f1237,plain,
    ( tl(app(sk4,sk4)) = app(sk4,sk4)
    | ~ spl0_51
    | ~ spl0_63 ),
    inference(backward_demodulation,[],[f808,f599]) ).

fof(f1220,plain,
    ( spl0_76
    | ~ spl0_41
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1219,f1032,f503,f1005]) ).

fof(f1215,plain,
    ( spl0_73
    | ~ spl0_65
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1214,f1078,f816,f951]) ).

fof(f1214,plain,
    ( tl(app(sk4,sk4)) = app(sk4,sk4)
    | ~ spl0_65
    | ~ spl0_80 ),
    inference(backward_demodulation,[],[f818,f1080]) ).

fof(f1080,plain,
    ( app(sk4,sk4) = app(tl(sk4),sk4)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1212,plain,
    ( spl0_47
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1183,f503,f319,f550]) ).

fof(f1209,plain,
    ( spl0_39
    | ~ spl0_26
    | ~ spl0_41
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1208,f871,f503,f369,f465]) ).

fof(f369,plain,
    ( spl0_26
  <=> nil = app(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f871,plain,
    ( spl0_68
  <=> app(tl(sk3),sk3) = tl(app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1208,plain,
    ( tl(nil) = app(tl(nil),nil)
    | ~ spl0_26
    | ~ spl0_41
    | ~ spl0_68 ),
    inference(forward_demodulation,[],[f1197,f371]) ).

fof(f371,plain,
    ( nil = app(nil,nil)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1197,plain,
    ( tl(app(nil,nil)) = app(tl(nil),nil)
    | ~ spl0_41
    | ~ spl0_68 ),
    inference(backward_demodulation,[],[f873,f505]) ).

fof(f873,plain,
    ( app(tl(sk3),sk3) = tl(app(sk3,sk3))
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f1206,plain,
    ( spl0_51
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1205,f1010,f503,f379,f598]) ).

fof(f1204,plain,
    ( spl0_70
    | ~ spl0_41
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1195,f860,f503,f911]) ).

fof(f1195,plain,
    ( tl(sk4) = app(tl(nil),tl(sk4))
    | ~ spl0_41
    | ~ spl0_66 ),
    inference(backward_demodulation,[],[f862,f505]) ).

fof(f1203,plain,
    ( spl0_39
    | ~ spl0_41
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1196,f866,f503,f465]) ).

fof(f1196,plain,
    ( tl(nil) = app(tl(nil),nil)
    | ~ spl0_41
    | ~ spl0_67 ),
    inference(backward_demodulation,[],[f868,f505]) ).

fof(f1181,plain,
    ( spl0_84
    | ~ spl0_64
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1176,f1010,f811,f1178]) ).

fof(f1175,plain,
    ( spl0_77
    | ~ spl0_51
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f998,f811,f598,f1010]) ).

fof(f1173,plain,
    ( spl0_41
    | spl0_53
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1091,f310,f632,f503]) ).

fof(f1091,plain,
    ( ! [X0] :
        ( tl(app(sk3,X0)) = app(tl(sk3),X0)
        | nil = sk3
        | ~ ssList(X0) )
    | ~ spl0_15 ),
    inference(resolution,[],[f312,f133]) ).

fof(f1172,plain,
    ( spl0_73
    | ~ spl0_51
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f997,f806,f598,f951]) ).

fof(f997,plain,
    ( tl(app(sk4,sk4)) = app(sk4,sk4)
    | ~ spl0_51
    | ~ spl0_63 ),
    inference(backward_demodulation,[],[f808,f599]) ).

fof(f1171,plain,
    ( spl0_51
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f906,f550,f444,f598]) ).

fof(f906,plain,
    ( sk4 = tl(sk4)
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(backward_demodulation,[],[f446,f552]) ).

fof(f1170,plain,
    ( spl0_83
    | ~ spl0_69
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1165,f1019,f876,f1167]) ).

fof(f1165,plain,
    ( tl(sk4) = app(tl(sk3),sk4)
    | ~ spl0_69
    | ~ spl0_78 ),
    inference(backward_demodulation,[],[f878,f1021]) ).

fof(f1164,plain,
    ( spl0_51
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f975,f550,f444,f598]) ).

fof(f1163,plain,
    ( spl0_47
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f882,f503,f319,f550]) ).

fof(f1162,plain,
    ( ~ spl0_15
    | spl0_41
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1161,f1129,f503,f310]) ).

fof(f1161,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | spl0_81 ),
    inference(resolution,[],[f1131,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f1135,plain,
    ( ~ spl0_9
    | ~ spl0_81
    | spl0_82
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1124,f866,f1133,f1129,f278]) ).

fof(f1124,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | segmentP(app(X0,tl(sk3)),tl(sk3))
        | ~ ssList(tl(sk3))
        | ~ ssList(app(X0,tl(sk3)))
        | ~ ssList(nil) )
    | ~ spl0_67 ),
    inference(superposition,[],[f359,f868]) ).

fof(f1086,plain,
    ( spl0_69
    | ~ spl0_14
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f857,f632,f304,f876]) ).

fof(f1085,plain,
    ( spl0_75
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f847,f632,f278,f970]) ).

fof(f1084,plain,
    ( spl0_66
    | ~ spl0_17
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1083,f960,f319,f860]) ).

fof(f1083,plain,
    ( tl(sk4) = app(tl(sk3),tl(sk4))
    | ~ spl0_17
    | ~ spl0_74 ),
    inference(backward_demodulation,[],[f962,f321]) ).

fof(f962,plain,
    ( app(tl(sk3),tl(sk4)) = tl(app(sk3,tl(sk4)))
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f1082,plain,
    ( spl0_67
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f864,f632,f374,f278,f866]) ).

fof(f1081,plain,
    ( spl0_80
    | ~ spl0_65
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1076,f951,f816,f1078]) ).

fof(f1075,plain,
    ( ~ spl0_76
    | ~ spl0_30
    | ~ spl0_41
    | ~ spl0_51
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1074,f876,f598,f503,f392,f1005]) ).

fof(f1072,plain,
    ( ~ spl0_76
    | ~ spl0_41
    | ~ spl0_51
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1071,f860,f598,f503,f1005]) ).

fof(f1069,plain,
    ( ~ spl0_76
    | ~ spl0_30
    | ~ spl0_41
    | ~ spl0_51
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1068,f876,f598,f503,f392,f1005]) ).

fof(f1068,plain,
    ( sk4 != app(tl(nil),sk4)
    | ~ spl0_30
    | ~ spl0_41
    | ~ spl0_51
    | spl0_69 ),
    inference(forward_demodulation,[],[f1067,f599]) ).

fof(f1035,plain,
    ( ~ spl0_79
    | ~ spl0_51
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1030,f860,f598,f1032]) ).

fof(f1030,plain,
    ( sk4 != app(tl(sk3),sk4)
    | ~ spl0_51
    | spl0_66 ),
    inference(forward_demodulation,[],[f861,f599]) ).

fof(f1025,plain,
    ( spl0_72
    | ~ spl0_42
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1024,f598,f517,f945]) ).

fof(f517,plain,
    ( spl0_42
  <=> tl(sk4) = cons(hd(tl(sk4)),tl(tl(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1024,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | ~ spl0_42
    | ~ spl0_51 ),
    inference(forward_demodulation,[],[f983,f599]) ).

fof(f983,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | ~ spl0_42
    | ~ spl0_51 ),
    inference(backward_demodulation,[],[f519,f599]) ).

fof(f519,plain,
    ( tl(sk4) = cons(hd(tl(sk4)),tl(tl(sk4)))
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f1023,plain,
    ( spl0_73
    | ~ spl0_51
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f997,f806,f598,f951]) ).

fof(f1022,plain,
    ( spl0_78
    | ~ spl0_17
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f980,f598,f319,f1019]) ).

fof(f980,plain,
    ( sk4 = app(sk3,sk4)
    | ~ spl0_17
    | ~ spl0_51 ),
    inference(backward_demodulation,[],[f321,f599]) ).

fof(f1017,plain,
    ( spl0_72
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f984,f598,f531,f945]) ).

fof(f984,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(backward_demodulation,[],[f533,f599]) ).

fof(f1016,plain,
    ( spl0_73
    | ~ spl0_51
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f999,f816,f598,f951]) ).

fof(f1015,plain,
    ( ~ spl0_76
    | ~ spl0_51
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1003,f918,f598,f1005]) ).

fof(f1013,plain,
    ( spl0_77
    | ~ spl0_51
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f998,f811,f598,f1010]) ).

fof(f1008,plain,
    ( ~ spl0_76
    | ~ spl0_51
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1002,f911,f598,f1005]) ).

fof(f1002,plain,
    ( sk4 != app(tl(nil),sk4)
    | ~ spl0_51
    | spl0_70 ),
    inference(backward_demodulation,[],[f913,f599]) ).

fof(f913,plain,
    ( tl(sk4) != app(tl(nil),tl(sk4))
    | spl0_70 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f979,plain,
    ( ~ spl0_66
    | ~ spl0_17
    | spl0_74 ),
    inference(avatar_split_clause,[],[f978,f960,f319,f860]) ).

fof(f977,plain,
    ( spl0_72
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f926,f598,f531,f945]) ).

fof(f926,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(backward_demodulation,[],[f533,f599]) ).

fof(f976,plain,
    ( spl0_51
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f975,f550,f444,f598]) ).

fof(f974,plain,
    ( spl0_69
    | ~ spl0_14
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f857,f632,f304,f876]) ).

fof(f973,plain,
    ( spl0_75
    | ~ spl0_9
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f847,f632,f278,f970]) ).

fof(f968,plain,
    ( ~ spl0_51
    | ~ spl0_37
    | spl0_47 ),
    inference(avatar_split_clause,[],[f593,f550,f444,f598]) ).

fof(f967,plain,
    ( spl0_66
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f858,f632,f327,f319,f860]) ).

fof(f966,plain,
    ( spl0_67
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f864,f632,f374,f278,f866]) ).

fof(f965,plain,
    ( spl0_53
    | spl0_41
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f681,f310,f503,f632]) ).

fof(f681,plain,
    ( ! [X0] :
        ( nil = sk3
        | tl(app(sk3,X0)) = app(tl(sk3),X0)
        | ~ ssList(X0) )
    | ~ spl0_15 ),
    inference(resolution,[],[f312,f133]) ).

fof(f964,plain,
    ( ~ spl0_51
    | ~ spl0_37
    | spl0_47 ),
    inference(avatar_split_clause,[],[f762,f550,f444,f598]) ).

fof(f963,plain,
    ( spl0_74
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f855,f632,f327,f960]) ).

fof(f956,plain,
    ( spl0_72
    | ~ spl0_45
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f926,f598,f531,f945]) ).

fof(f955,plain,
    ( spl0_73
    | ~ spl0_51
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f940,f816,f598,f951]) ).

fof(f954,plain,
    ( spl0_73
    | ~ spl0_51
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f939,f806,f598,f951]) ).

fof(f948,plain,
    ( spl0_72
    | ~ spl0_42
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f943,f598,f517,f945]) ).

fof(f943,plain,
    ( sk4 = cons(hd(sk4),sk4)
    | ~ spl0_42
    | ~ spl0_51 ),
    inference(forward_demodulation,[],[f925,f599]) ).

fof(f925,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | ~ spl0_42
    | ~ spl0_51 ),
    inference(backward_demodulation,[],[f519,f599]) ).

fof(f921,plain,
    ( ~ spl0_71
    | ~ spl0_30
    | ~ spl0_41
    | spl0_69 ),
    inference(avatar_split_clause,[],[f916,f876,f503,f392,f918]) ).

fof(f914,plain,
    ( ~ spl0_70
    | ~ spl0_41
    | spl0_66 ),
    inference(avatar_split_clause,[],[f909,f860,f503,f911]) ).

fof(f907,plain,
    ( spl0_51
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f906,f550,f444,f598]) ).

fof(f903,plain,
    ( spl0_47
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f882,f503,f319,f550]) ).

fof(f879,plain,
    ( spl0_69
    | ~ spl0_14
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f857,f632,f304,f876]) ).

fof(f874,plain,
    ( spl0_68
    | ~ spl0_15
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f856,f632,f310,f871]) ).

fof(f856,plain,
    ( app(tl(sk3),sk3) = tl(app(sk3,sk3))
    | ~ spl0_15
    | ~ spl0_53 ),
    inference(resolution,[],[f633,f312]) ).

fof(f869,plain,
    ( spl0_67
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f864,f632,f374,f278,f866]) ).

fof(f863,plain,
    ( spl0_66
    | ~ spl0_17
    | ~ spl0_19
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f858,f632,f327,f319,f860]) ).

fof(f819,plain,
    ( spl0_65
    | ~ spl0_14
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f804,f627,f304,f816]) ).

fof(f804,plain,
    ( tl(app(sk4,sk4)) = app(tl(sk4),sk4)
    | ~ spl0_14
    | ~ spl0_52 ),
    inference(resolution,[],[f628,f306]) ).

fof(f814,plain,
    ( spl0_64
    | ~ spl0_15
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f803,f627,f310,f811]) ).

fof(f803,plain,
    ( app(tl(sk4),sk3) = tl(app(sk4,sk3))
    | ~ spl0_15
    | ~ spl0_52 ),
    inference(resolution,[],[f628,f312]) ).

fof(f809,plain,
    ( spl0_63
    | ~ spl0_19
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f802,f627,f327,f806]) ).

fof(f802,plain,
    ( app(tl(sk4),tl(sk4)) = tl(app(sk4,tl(sk4)))
    | ~ spl0_19
    | ~ spl0_52 ),
    inference(resolution,[],[f628,f328]) ).

fof(f774,plain,
    ( ~ spl0_9
    | ~ spl0_19
    | spl0_62
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f767,f449,f772,f327,f278]) ).

fof(f772,plain,
    ( spl0_62
  <=> ! [X0] :
        ( segmentP(app(X0,tl(sk4)),tl(sk4))
        | ~ ssList(app(X0,tl(sk4)))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f449,plain,
    ( spl0_38
  <=> tl(sk4) = app(tl(sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f767,plain,
    ( ! [X0] :
        ( segmentP(app(X0,tl(sk4)),tl(sk4))
        | ~ ssList(X0)
        | ~ ssList(app(X0,tl(sk4)))
        | ~ ssList(tl(sk4))
        | ~ ssList(nil) )
    | ~ spl0_38 ),
    inference(superposition,[],[f359,f451]) ).

fof(f451,plain,
    ( tl(sk4) = app(tl(sk4),nil)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f759,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_61
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f744,f319,f757,f327,f310]) ).

fof(f744,plain,
    ( ! [X2] :
        ( ~ ssList(app(X2,sk4))
        | segmentP(app(X2,sk4),sk3)
        | ~ ssList(tl(sk4))
        | ~ ssList(X2)
        | ~ ssList(sk3) )
    | ~ spl0_17 ),
    inference(superposition,[],[f359,f321]) ).

fof(f755,plain,
    ( ~ spl0_15
    | ~ spl0_9
    | spl0_60
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f745,f374,f753,f278,f310]) ).

fof(f753,plain,
    ( spl0_60
  <=> ! [X3] :
        ( ~ ssList(X3)
        | ~ ssList(app(X3,sk3))
        | segmentP(app(X3,sk3),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f745,plain,
    ( ! [X3] :
        ( ~ ssList(X3)
        | segmentP(app(X3,sk3),sk3)
        | ~ ssList(nil)
        | ~ ssList(sk3)
        | ~ ssList(app(X3,sk3)) )
    | ~ spl0_27 ),
    inference(superposition,[],[f359,f376]) ).

fof(f751,plain,
    ( ~ spl0_9
    | ~ spl0_14
    | spl0_59
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f746,f379,f749,f304,f278]) ).

fof(f749,plain,
    ( spl0_59
  <=> ! [X4] :
        ( ~ ssList(app(X4,sk4))
        | segmentP(app(X4,sk4),sk4)
        | ~ ssList(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f746,plain,
    ( ! [X4] :
        ( ~ ssList(app(X4,sk4))
        | ~ ssList(X4)
        | segmentP(app(X4,sk4),sk4)
        | ~ ssList(sk4)
        | ~ ssList(nil) )
    | ~ spl0_28 ),
    inference(superposition,[],[f359,f381]) ).

fof(f740,plain,
    ( ~ spl0_9
    | spl0_58 ),
    inference(avatar_split_clause,[],[f730,f738,f278]) ).

fof(f738,plain,
    ( spl0_58
  <=> ! [X2,X4,X3] :
        ( ~ ssList(X3)
        | segmentP(app(X4,app(X3,X2)),nil)
        | ~ ssList(X2)
        | ~ ssList(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f730,plain,
    ! [X2,X3,X4] :
      ( ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssList(nil)
      | ~ ssList(X2)
      | segmentP(app(X4,app(X3,X2)),nil) ),
    inference(duplicate_literal_removal,[],[f727]) ).

fof(f727,plain,
    ! [X2,X3,X4] :
      ( ~ ssList(X3)
      | ~ ssList(X3)
      | segmentP(app(X4,app(X3,X2)),nil)
      | ~ ssList(nil)
      | ~ ssList(X4)
      | ~ ssList(X2) ),
    inference(resolution,[],[f308,f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f308,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | segmentP(app(X3,app(X0,X2)),X1)
      | ~ ssList(X3)
      | ~ ssList(X1) ),
    inference(forward_subsumption_demodulation,[],[f172,f149]) ).

fof(f172,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ segmentP(X0,X1)
      | segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f736,plain,
    ( ~ spl0_14
    | ~ spl0_9
    | spl0_57
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f728,f560,f734,f278,f304]) ).

fof(f560,plain,
    ( spl0_49
  <=> segmentP(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f728,plain,
    ( ! [X6,X5] :
        ( ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssList(nil)
        | ~ ssList(sk4)
        | segmentP(app(X6,app(sk4,X5)),nil) )
    | ~ spl0_49 ),
    inference(resolution,[],[f308,f561]) ).

fof(f561,plain,
    ( segmentP(sk4,nil)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f679,plain,
    ( spl0_31
    | ~ spl0_14
    | ~ spl0_9
    | spl0_16 ),
    inference(avatar_split_clause,[],[f678,f315,f278,f304,f400]) ).

fof(f315,plain,
    ( spl0_16
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f678,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk4)
    | nil = sk4
    | spl0_16 ),
    inference(resolution,[],[f317,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f317,plain,
    ( ~ neq(nil,sk4)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f669,plain,
    ( spl0_50
    | ~ spl0_41
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f668,f526,f503,f566]) ).

fof(f668,plain,
    ( nil = cons(hd(nil),tl(nil))
    | ~ spl0_41
    | ~ spl0_44 ),
    inference(backward_demodulation,[],[f528,f505]) ).

fof(f528,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f661,plain,
    ( ~ spl0_56
    | spl0_17
    | ~ spl0_27
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f656,f521,f374,f319,f658]) ).

fof(f658,plain,
    ( spl0_56
  <=> sk3 = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f521,plain,
    ( spl0_43
  <=> nil = tl(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f656,plain,
    ( sk3 != sk4
    | spl0_17
    | ~ spl0_27
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f655,f376]) ).

fof(f655,plain,
    ( sk4 != app(sk3,nil)
    | spl0_17
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f320,f523]) ).

fof(f523,plain,
    ( nil = tl(sk4)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f320,plain,
    ( sk4 != app(sk3,tl(sk4))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f654,plain,
    ( spl0_55
    | ~ spl0_43
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f644,f531,f521,f651]) ).

fof(f651,plain,
    ( spl0_55
  <=> sk4 = cons(hd(sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f644,plain,
    ( sk4 = cons(hd(sk4),nil)
    | ~ spl0_43
    | ~ spl0_45 ),
    inference(backward_demodulation,[],[f533,f523]) ).

fof(f649,plain,
    ( spl0_50
    | ~ spl0_42
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f643,f521,f517,f566]) ).

fof(f643,plain,
    ( nil = cons(hd(nil),tl(nil))
    | ~ spl0_42
    | ~ spl0_43 ),
    inference(backward_demodulation,[],[f519,f523]) ).

fof(f638,plain,
    ( spl0_43
    | spl0_54
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f623,f327,f636,f521]) ).

fof(f636,plain,
    ( spl0_54
  <=> ! [X6] :
        ( ~ ssList(X6)
        | app(tl(tl(sk4)),X6) = tl(app(tl(sk4),X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f623,plain,
    ( ! [X6] :
        ( ~ ssList(X6)
        | nil = tl(sk4)
        | app(tl(tl(sk4)),X6) = tl(app(tl(sk4),X6)) )
    | ~ spl0_19 ),
    inference(resolution,[],[f133,f328]) ).

fof(f634,plain,
    ( spl0_53
    | spl0_41
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f624,f310,f503,f632]) ).

fof(f624,plain,
    ( ! [X7] :
        ( nil = sk3
        | tl(app(sk3,X7)) = app(tl(sk3),X7)
        | ~ ssList(X7) )
    | ~ spl0_15 ),
    inference(resolution,[],[f133,f312]) ).

fof(f629,plain,
    ( spl0_31
    | spl0_52
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f625,f304,f627,f400]) ).

fof(f625,plain,
    ( ! [X8] :
        ( app(tl(sk4),X8) = tl(app(sk4,X8))
        | nil = sk4
        | ~ ssList(X8) )
    | ~ spl0_14 ),
    inference(resolution,[],[f133,f306]) ).

fof(f601,plain,
    ( ~ spl0_51
    | ~ spl0_37
    | spl0_47 ),
    inference(avatar_split_clause,[],[f593,f550,f444,f598]) ).

fof(f576,plain,
    ( ~ spl0_14
    | spl0_49 ),
    inference(avatar_split_clause,[],[f575,f560,f304]) ).

fof(f575,plain,
    ( ~ ssList(sk4)
    | spl0_49 ),
    inference(resolution,[],[f562,f56]) ).

fof(f562,plain,
    ( ~ segmentP(sk4,nil)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f574,plain,
    ( spl0_41
    | ~ spl0_15
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f573,f419,f310,f503]) ).

fof(f419,plain,
    ( spl0_33
  <=> segmentP(nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f573,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_33 ),
    inference(resolution,[],[f420,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f420,plain,
    ( segmentP(nil,sk3)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f569,plain,
    ( ~ spl0_50
    | ~ spl0_41
    | spl0_44 ),
    inference(avatar_split_clause,[],[f564,f526,f503,f566]) ).

fof(f563,plain,
    ( ~ spl0_49
    | spl0_6
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f535,f503,f265,f560]) ).

fof(f535,plain,
    ( ~ segmentP(sk4,nil)
    | spl0_6
    | ~ spl0_41 ),
    inference(backward_demodulation,[],[f267,f505]) ).

fof(f267,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f558,plain,
    ( ~ spl0_48
    | spl0_32
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f541,f503,f414,f555]) ).

fof(f541,plain,
    ( nil != app(nil,tl(nil))
    | spl0_32
    | ~ spl0_41 ),
    inference(backward_demodulation,[],[f416,f505]) ).

fof(f416,plain,
    ( nil != app(sk3,tl(nil))
    | spl0_32 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f553,plain,
    ( spl0_47
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f538,f503,f319,f550]) ).

fof(f548,plain,
    ( ~ spl0_46
    | spl0_34
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f543,f503,f424,f545]) ).

fof(f543,plain,
    ( ~ ssList(app(nil,tl(nil)))
    | spl0_34
    | ~ spl0_41 ),
    inference(backward_demodulation,[],[f426,f505]) ).

fof(f426,plain,
    ( ~ ssList(app(sk3,tl(nil)))
    | spl0_34 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f534,plain,
    ( spl0_31
    | spl0_45
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f515,f304,f531,f400]) ).

fof(f515,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | nil = sk4
    | ~ spl0_14 ),
    inference(resolution,[],[f104,f306]) ).

fof(f529,plain,
    ( spl0_41
    | spl0_44
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f514,f310,f526,f503]) ).

fof(f514,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | nil = sk3
    | ~ spl0_15 ),
    inference(resolution,[],[f104,f312]) ).

fof(f524,plain,
    ( spl0_42
    | spl0_43
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f513,f327,f521,f517]) ).

fof(f513,plain,
    ( nil = tl(sk4)
    | tl(sk4) = cons(hd(tl(sk4)),tl(tl(sk4)))
    | ~ spl0_19 ),
    inference(resolution,[],[f104,f328]) ).

fof(f506,plain,
    ( ~ spl0_15
    | spl0_41
    | ~ spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f497,f269,f278,f503,f310]) ).

fof(f269,plain,
    ( spl0_7
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f497,plain,
    ( ~ ssList(nil)
    | nil = sk3
    | ~ ssList(sk3)
    | spl0_7 ),
    inference(resolution,[],[f100,f271]) ).

fof(f271,plain,
    ( ~ neq(sk3,nil)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f492,plain,
    ( ~ spl0_19
    | ~ spl0_15
    | spl0_18 ),
    inference(avatar_split_clause,[],[f488,f323,f310,f327]) ).

fof(f323,plain,
    ( spl0_18
  <=> ssList(app(sk3,tl(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f488,plain,
    ( ~ ssList(sk3)
    | ~ ssList(tl(sk4))
    | spl0_18 ),
    inference(resolution,[],[f85,f325]) ).

fof(f325,plain,
    ( ~ ssList(app(sk3,tl(sk4)))
    | spl0_18 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f477,plain,
    ( ~ spl0_9
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f476,f429,f278]) ).

fof(f429,plain,
    ( spl0_35
  <=> neq(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f476,plain,
    ( ~ ssList(nil)
    | ~ spl0_35 ),
    inference(resolution,[],[f431,f238]) ).

fof(f238,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f212,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f431,plain,
    ( neq(nil,nil)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f474,plain,
    ( ~ spl0_40
    | ~ spl0_31
    | spl0_37 ),
    inference(avatar_split_clause,[],[f469,f444,f400,f471]) ).

fof(f469,plain,
    ( tl(nil) != app(nil,tl(nil))
    | ~ spl0_31
    | spl0_37 ),
    inference(forward_demodulation,[],[f445,f402]) ).

fof(f402,plain,
    ( nil = sk4
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f445,plain,
    ( tl(sk4) != app(nil,tl(sk4))
    | spl0_37 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f468,plain,
    ( ~ spl0_39
    | ~ spl0_31
    | spl0_38 ),
    inference(avatar_split_clause,[],[f463,f449,f400,f465]) ).

fof(f463,plain,
    ( tl(nil) != app(tl(nil),nil)
    | ~ spl0_31
    | spl0_38 ),
    inference(forward_demodulation,[],[f450,f402]) ).

fof(f450,plain,
    ( tl(sk4) != app(tl(sk4),nil)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f462,plain,
    ( spl0_35
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f456,f400,f315,f429]) ).

fof(f456,plain,
    ( neq(nil,nil)
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(backward_demodulation,[],[f316,f402]) ).

fof(f316,plain,
    ( neq(nil,sk4)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f461,plain,
    ( spl0_35
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f453,f400,f261,f429]) ).

fof(f261,plain,
    ( spl0_5
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f453,plain,
    ( neq(nil,nil)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(backward_demodulation,[],[f263,f402]) ).

fof(f263,plain,
    ( neq(sk4,nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f452,plain,
    ( spl0_38
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f442,f327,f449]) ).

fof(f442,plain,
    ( tl(sk4) = app(tl(sk4),nil)
    | ~ spl0_19 ),
    inference(resolution,[],[f328,f73]) ).

fof(f447,plain,
    ( spl0_37
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f441,f327,f444]) ).

fof(f441,plain,
    ( tl(sk4) = app(nil,tl(sk4))
    | ~ spl0_19 ),
    inference(resolution,[],[f328,f74]) ).

fof(f438,plain,
    ( ~ spl0_36
    | spl0_19
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f410,f400,f327,f435]) ).

fof(f410,plain,
    ( ~ ssList(tl(nil))
    | spl0_19
    | ~ spl0_31 ),
    inference(backward_demodulation,[],[f329,f402]) ).

fof(f329,plain,
    ( ~ ssList(tl(sk4))
    | spl0_19 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f433,plain,
    ( spl0_35
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f404,f400,f261,f429]) ).

fof(f404,plain,
    ( neq(nil,nil)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(backward_demodulation,[],[f263,f402]) ).

fof(f432,plain,
    ( spl0_35
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f407,f400,f315,f429]) ).

fof(f407,plain,
    ( neq(nil,nil)
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(backward_demodulation,[],[f316,f402]) ).

fof(f427,plain,
    ( ~ spl0_34
    | spl0_18
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f409,f400,f323,f424]) ).

fof(f409,plain,
    ( ~ ssList(app(sk3,tl(nil)))
    | spl0_18
    | ~ spl0_31 ),
    inference(backward_demodulation,[],[f325,f402]) ).

fof(f422,plain,
    ( ~ spl0_33
    | spl0_6
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f405,f400,f265,f419]) ).

fof(f405,plain,
    ( ~ segmentP(nil,sk3)
    | spl0_6
    | ~ spl0_31 ),
    inference(backward_demodulation,[],[f267,f402]) ).

fof(f417,plain,
    ( ~ spl0_32
    | spl0_17
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f408,f400,f319,f414]) ).

fof(f408,plain,
    ( nil != app(sk3,tl(nil))
    | spl0_17
    | ~ spl0_31 ),
    inference(backward_demodulation,[],[f320,f402]) ).

fof(f403,plain,
    ( ~ spl0_14
    | spl0_31
    | spl0_19 ),
    inference(avatar_split_clause,[],[f396,f327,f400,f304]) ).

fof(f396,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_19 ),
    inference(resolution,[],[f75,f329]) ).

fof(f395,plain,
    ( spl0_30
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f383,f304,f392]) ).

fof(f383,plain,
    ( sk4 = app(nil,sk4)
    | ~ spl0_14 ),
    inference(resolution,[],[f74,f306]) ).

fof(f390,plain,
    ( spl0_29
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f384,f310,f387]) ).

fof(f387,plain,
    ( spl0_29
  <=> sk3 = app(nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f384,plain,
    ( sk3 = app(nil,sk3)
    | ~ spl0_15 ),
    inference(resolution,[],[f74,f312]) ).

fof(f382,plain,
    ( spl0_28
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f365,f304,f379]) ).

fof(f365,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl0_14 ),
    inference(resolution,[],[f73,f306]) ).

fof(f377,plain,
    ( spl0_27
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f366,f310,f374]) ).

fof(f366,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl0_15 ),
    inference(resolution,[],[f73,f312]) ).

fof(f372,plain,
    ( spl0_26
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f367,f278,f369]) ).

fof(f367,plain,
    ( nil = app(nil,nil)
    | ~ spl0_9 ),
    inference(resolution,[],[f73,f279]) ).

fof(f364,plain,
    ~ spl0_25,
    inference(avatar_split_clause,[],[f11,f361]) ).

fof(f361,plain,
    ( spl0_25
  <=> singletonP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f11,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

fof(f357,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f235,f261]) ).

fof(f235,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f201]) ).

fof(f201,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f356,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f189,f304]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f355,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f198,f269,f265,f261]) ).

fof(f198,plain,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    inference(definition_unfolding,[],[f197,f190,f191,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f197,axiom,
    ( ~ neq(sk4,nil)
    | ~ segmentP(sk2,sk1)
    | ~ neq(sk1,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f354,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f9,f351]) ).

fof(f351,plain,
    ( spl0_24
  <=> ssItem(skac3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f9,axiom,
    ssItem(skac3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f349,plain,
    ( spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f72,f347,f344]) ).

fof(f347,plain,
    ( spl0_23
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f342,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f200,f310]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f341,plain,
    ( spl0_17
    | ~ spl0_16
    | ~ spl0_19
    | ~ spl0_18
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f211,f261,f323,f327,f315,f319]) ).

fof(f211,plain,
    ( ~ neq(sk4,nil)
    | ~ ssList(app(sk3,tl(sk4)))
    | ~ ssList(tl(sk4))
    | ~ neq(nil,sk4)
    | sk4 = app(sk3,tl(sk4)) ),
    inference(equality_resolution,[],[f210]) ).

fof(f210,plain,
    ! [X7] :
      ( ~ ssList(X7)
      | ~ neq(sk4,nil)
      | sk4 = app(sk3,X7)
      | ~ neq(nil,sk4)
      | tl(sk4) != X7
      | ~ ssList(app(sk3,X7)) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | app(sk3,X7) != X6
      | ~ neq(sk4,nil)
      | sk4 = X6
      | ~ neq(nil,sk4)
      | tl(sk4) != X7
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f340,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f4,f337]) ).

fof(f337,plain,
    ( spl0_21
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f335,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f2,f332]) ).

fof(f332,plain,
    ( spl0_20
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f330,plain,
    ( ~ spl0_16
    | spl0_17
    | ~ spl0_18
    | spl0_5
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f219,f327,f261,f323,f319,f315]) ).

fof(f219,plain,
    ( ~ ssList(tl(sk4))
    | neq(sk4,nil)
    | ~ ssList(app(sk3,tl(sk4)))
    | sk4 = app(sk3,tl(sk4))
    | ~ neq(nil,sk4) ),
    inference(equality_resolution,[],[f218]) ).

fof(f218,plain,
    ! [X7] :
      ( ~ neq(nil,sk4)
      | sk4 = app(sk3,X7)
      | tl(sk4) != X7
      | neq(sk4,nil)
      | ~ ssList(app(sk3,X7))
      | ~ ssList(X7) ),
    inference(equality_resolution,[],[f199]) ).

fof(f199,plain,
    ! [X6,X7] :
      ( ~ neq(nil,sk4)
      | app(sk3,X7) != X6
      | sk4 = X6
      | tl(sk4) != X7
      | neq(sk4,nil)
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f194,f190]) ).

fof(f194,axiom,
    ! [X6,X7] :
      ( ~ neq(nil,sk4)
      | app(sk3,X7) != X6
      | sk4 = X6
      | tl(sk4) != X7
      | neq(sk2,nil)
      | ~ ssList(X6)
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f313,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f188,f310]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f307,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f204,f304]) ).

fof(f204,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f302,plain,
    ~ spl0_13,
    inference(avatar_split_clause,[],[f54,f299]) ).

fof(f299,plain,
    ( spl0_13
  <=> skac3 = skac2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f54,axiom,
    skac3 != skac2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f297,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f3,f294]) ).

fof(f294,plain,
    ( spl0_12
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f292,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f8,f278]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f291,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f6,f288]) ).

fof(f288,plain,
    ( spl0_11
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f6,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f286,plain,
    ( ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f207,f283,f278]) ).

fof(f283,plain,
    ( spl0_10
  <=> rearsegP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f207,plain,
    ( rearsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( nil != X0
      | ~ ssList(X0)
      | rearsegP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f281,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f206,f278,f274]) ).

fof(f274,plain,
    ( spl0_8
  <=> segmentP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f206,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,axiom,
    ! [X0] :
      ( segmentP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f272,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f202,f269,f265,f261]) ).

fof(f202,plain,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f195,f190,f191,f190,f191]) ).

fof(f195,axiom,
    ( neq(sk2,nil)
    | ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f259,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f5,f256]) ).

fof(f256,plain,
    ( spl0_4
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f5,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f254,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f1,f251]) ).

fof(f251,plain,
    ( spl0_3
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f249,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f7,f246]) ).

fof(f246,plain,
    ( spl0_2
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f7,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f244,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f10,f241]) ).

fof(f241,plain,
    ( spl0_1
  <=> ssItem(skac2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f10,axiom,
    ssItem(skac2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC120-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:14:47 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.57  % (2329)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.57  % (2330)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.57  % (2328)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)
% 0.21/0.58  % (2321)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.58  % (2313)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.58  % (2322)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.58  % (2320)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)
% 0.21/0.58  % (2314)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.58  % (2314)Instruction limit reached!
% 0.21/0.58  % (2314)------------------------------
% 0.21/0.58  % (2314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (2314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (2314)Termination reason: Unknown
% 0.21/0.58  % (2314)Termination phase: Function definition elimination
% 0.21/0.58  
% 0.21/0.58  % (2314)Memory used [KB]: 1023
% 0.21/0.58  % (2314)Time elapsed: 0.003 s
% 0.21/0.58  % (2314)Instructions burned: 2 (million)
% 0.21/0.58  % (2314)------------------------------
% 0.21/0.58  % (2314)------------------------------
% 0.21/0.58  % (2312)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)
% 0.21/0.58  % (2313)Instruction limit reached!
% 0.21/0.58  % (2313)------------------------------
% 0.21/0.58  % (2313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (2313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (2313)Termination reason: Unknown
% 0.21/0.60  % (2313)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (2313)Memory used [KB]: 5628
% 0.21/0.60  % (2313)Time elapsed: 0.137 s
% 0.21/0.60  % (2313)Instructions burned: 7 (million)
% 0.21/0.60  % (2313)------------------------------
% 0.21/0.60  % (2313)------------------------------
% 0.21/0.61  TRYING [1]
% 0.21/0.61  TRYING [2]
% 0.21/0.62  % (2332)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)
% 0.21/0.62  % (2333)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)
% 0.21/0.62  % (2315)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)
% 0.21/0.62  % (2324)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.63  % (2325)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)
% 0.21/0.63  % (2308)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.63  % (2318)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.63  % (2334)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.63  % (2311)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)
% 1.97/0.63  % (2309)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)
% 1.97/0.64  % (2323)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.97/0.64  % (2326)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)
% 1.97/0.64  % (2331)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.97/0.64  % (2319)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.97/0.64  % (2317)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.97/0.64  % (2310)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.97/0.65  % (2316)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.97/0.65  % (2306)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)
% 2.23/0.65  TRYING [3]
% 2.23/0.65  % (2327)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.23/0.66  % (2335)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)
% 2.23/0.66  TRYING [3]
% 2.23/0.66  % (2312)Instruction limit reached!
% 2.23/0.66  % (2312)------------------------------
% 2.23/0.66  % (2312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66  % (2312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66  % (2312)Termination reason: Unknown
% 2.23/0.66  % (2312)Termination phase: Finite model building constraint generation
% 2.23/0.66  
% 2.23/0.66  % (2312)Memory used [KB]: 7803
% 2.23/0.66  % (2312)Time elapsed: 0.176 s
% 2.23/0.66  % (2312)Instructions burned: 53 (million)
% 2.23/0.66  % (2312)------------------------------
% 2.23/0.66  % (2312)------------------------------
% 2.23/0.66  % (2307)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)
% 2.23/0.68  TRYING [1]
% 2.23/0.68  % (2307)Refutation not found, incomplete strategy% (2307)------------------------------
% 2.23/0.68  % (2307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68  % (2307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68  % (2307)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.68  
% 2.23/0.68  % (2307)Memory used [KB]: 5884
% 2.23/0.68  % (2307)Time elapsed: 0.203 s
% 2.23/0.68  % (2307)Instructions burned: 12 (million)
% 2.23/0.68  % (2307)------------------------------
% 2.23/0.68  % (2307)------------------------------
% 2.23/0.68  TRYING [2]
% 2.23/0.68  TRYING [1]
% 2.23/0.69  TRYING [2]
% 2.23/0.70  % (2308)Instruction limit reached!
% 2.23/0.70  % (2308)------------------------------
% 2.23/0.70  % (2308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70  % (2308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70  % (2308)Termination reason: Unknown
% 2.23/0.70  % (2308)Termination phase: Saturation
% 2.23/0.70  
% 2.23/0.70  % (2308)Memory used [KB]: 1663
% 2.23/0.70  % (2308)Time elapsed: 0.233 s
% 2.23/0.70  % (2308)Instructions burned: 38 (million)
% 2.23/0.70  % (2308)------------------------------
% 2.23/0.70  % (2308)------------------------------
% 2.23/0.71  % (2315)Instruction limit reached!
% 2.23/0.71  % (2315)------------------------------
% 2.23/0.71  % (2315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (2321)Instruction limit reached!
% 2.23/0.71  % (2321)------------------------------
% 2.23/0.71  % (2321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (2321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71  % (2321)Termination reason: Unknown
% 2.23/0.71  % (2321)Termination phase: Saturation
% 2.23/0.71  
% 2.23/0.71  % (2321)Memory used [KB]: 2302
% 2.23/0.71  % (2321)Time elapsed: 0.257 s
% 2.23/0.71  % (2321)Instructions burned: 76 (million)
% 2.23/0.71  % (2321)------------------------------
% 2.23/0.71  % (2321)------------------------------
% 2.23/0.71  TRYING [3]
% 2.23/0.71  % (2320)Instruction limit reached!
% 2.23/0.71  % (2320)------------------------------
% 2.23/0.71  % (2320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (2320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71  % (2320)Termination reason: Unknown
% 2.23/0.71  % (2320)Termination phase: Saturation
% 2.23/0.71  
% 2.23/0.71  % (2320)Memory used [KB]: 6908
% 2.23/0.71  % (2320)Time elapsed: 0.048 s
% 2.23/0.71  % (2320)Instructions burned: 69 (million)
% 2.23/0.71  % (2320)------------------------------
% 2.23/0.71  % (2320)------------------------------
% 2.23/0.71  TRYING [3]
% 2.23/0.71  % (2311)Instruction limit reached!
% 2.23/0.71  % (2311)------------------------------
% 2.23/0.71  % (2311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (2311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71  % (2311)Termination reason: Unknown
% 2.23/0.71  % (2311)Termination phase: Saturation
% 2.23/0.71  
% 2.23/0.71  % (2311)Memory used [KB]: 6140
% 2.23/0.71  % (2311)Time elapsed: 0.273 s
% 2.23/0.71  % (2311)Instructions burned: 50 (million)
% 2.23/0.71  % (2311)------------------------------
% 2.23/0.71  % (2311)------------------------------
% 2.23/0.72  % (2315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.72  % (2315)Termination reason: Unknown
% 2.23/0.72  % (2315)Termination phase: Saturation
% 2.23/0.72  
% 2.23/0.72  % (2315)Memory used [KB]: 2174
% 2.23/0.72  % (2315)Time elapsed: 0.215 s
% 2.23/0.72  % (2315)Instructions burned: 52 (million)
% 2.23/0.72  % (2315)------------------------------
% 2.23/0.72  % (2315)------------------------------
% 2.23/0.72  % (2323)Instruction limit reached!
% 2.23/0.72  % (2323)------------------------------
% 2.23/0.72  % (2323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.72  % (2323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.72  % (2323)Termination reason: Unknown
% 2.23/0.72  % (2323)Termination phase: Finite model building constraint generation
% 2.23/0.72  
% 2.23/0.72  % (2323)Memory used [KB]: 7931
% 2.23/0.72  % (2323)Time elapsed: 0.231 s
% 2.23/0.72  % (2323)Instructions burned: 60 (million)
% 2.23/0.72  % (2323)------------------------------
% 2.23/0.72  % (2323)------------------------------
% 2.23/0.73  % (2339)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.23/0.73  % (2309)Instruction limit reached!
% 2.23/0.73  % (2309)------------------------------
% 2.23/0.73  % (2309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.73  % (2316)Instruction limit reached!
% 2.23/0.73  % (2316)------------------------------
% 2.23/0.73  % (2316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.73  % (2310)Instruction limit reached!
% 2.23/0.73  % (2310)------------------------------
% 2.23/0.73  % (2310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.74  % (2316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.74  % (2316)Termination reason: Unknown
% 2.23/0.74  % (2316)Termination phase: Saturation
% 2.23/0.74  
% 2.23/0.74  % (2316)Memory used [KB]: 6652
% 2.23/0.74  % (2316)Time elapsed: 0.280 s
% 2.23/0.74  % (2316)Instructions burned: 50 (million)
% 2.23/0.74  % (2316)------------------------------
% 2.23/0.74  % (2316)------------------------------
% 2.23/0.74  % (2310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.74  % (2310)Termination reason: Unknown
% 2.23/0.74  % (2310)Termination phase: Saturation
% 2.23/0.74  
% 2.23/0.74  % (2310)Memory used [KB]: 6652
% 2.23/0.74  % (2310)Time elapsed: 0.286 s
% 2.23/0.74  % (2310)Instructions burned: 51 (million)
% 2.23/0.74  % (2310)------------------------------
% 2.23/0.74  % (2310)------------------------------
% 2.23/0.74  % (2309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.74  % (2309)Termination reason: Unknown
% 2.23/0.74  % (2309)Termination phase: Saturation
% 2.23/0.74  
% 2.23/0.74  % (2309)Memory used [KB]: 6780
% 2.23/0.74  % (2309)Time elapsed: 0.266 s
% 2.23/0.74  % (2309)Instructions burned: 51 (million)
% 2.23/0.74  % (2309)------------------------------
% 2.23/0.74  % (2309)------------------------------
% 2.23/0.74  % (2347)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.23/0.74  % (2332)Instruction limit reached!
% 2.23/0.74  % (2332)------------------------------
% 2.23/0.74  % (2332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.74  % (2332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.74  % (2332)Termination reason: Unknown
% 2.23/0.74  % (2332)Termination phase: Saturation
% 2.23/0.74  
% 2.23/0.74  % (2332)Memory used [KB]: 7036
% 2.23/0.74  % (2332)Time elapsed: 0.039 s
% 2.23/0.74  % (2332)Instructions burned: 69 (million)
% 2.23/0.74  % (2332)------------------------------
% 2.23/0.74  % (2332)------------------------------
% 2.96/0.75  % (2322)Instruction limit reached!
% 2.96/0.75  % (2322)------------------------------
% 2.96/0.75  % (2322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.75  % (2322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.75  % (2322)Termination reason: Unknown
% 2.96/0.75  % (2322)Termination phase: Saturation
% 2.96/0.75  
% 2.96/0.75  % (2322)Memory used [KB]: 6908
% 2.96/0.75  % (2322)Time elapsed: 0.294 s
% 2.96/0.75  % (2322)Instructions burned: 100 (million)
% 2.96/0.75  % (2322)------------------------------
% 2.96/0.75  % (2322)------------------------------
% 2.96/0.78  % (2317)Instruction limit reached!
% 2.96/0.78  % (2317)------------------------------
% 2.96/0.78  % (2317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.78  % (2317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.78  % (2317)Termination reason: Unknown
% 2.96/0.78  % (2317)Termination phase: Saturation
% 2.96/0.78  
% 2.96/0.78  % (2317)Memory used [KB]: 7547
% 2.96/0.78  % (2317)Time elapsed: 0.340 s
% 2.96/0.78  % (2317)Instructions burned: 101 (million)
% 2.96/0.78  % (2317)------------------------------
% 2.96/0.78  % (2317)------------------------------
% 2.96/0.78  % (2351)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.96/0.80  % (2354)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.15/0.81  % (2318)Instruction limit reached!
% 3.15/0.81  % (2318)------------------------------
% 3.15/0.81  % (2318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.81  % (2318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.81  % (2318)Termination reason: Unknown
% 3.15/0.81  % (2318)Termination phase: Saturation
% 3.15/0.81  
% 3.15/0.81  % (2318)Memory used [KB]: 7291
% 3.15/0.81  % (2318)Time elapsed: 0.371 s
% 3.15/0.81  % (2318)Instructions burned: 101 (million)
% 3.15/0.81  % (2318)------------------------------
% 3.15/0.81  % (2318)------------------------------
% 3.15/0.81  % (2325)Instruction limit reached!
% 3.15/0.81  % (2325)------------------------------
% 3.15/0.81  % (2325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.81  % (2325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.81  % (2325)Termination reason: Unknown
% 3.15/0.81  % (2325)Termination phase: Saturation
% 3.15/0.81  
% 3.15/0.81  % (2325)Memory used [KB]: 2558
% 3.15/0.81  % (2325)Time elapsed: 0.370 s
% 3.15/0.81  % (2325)Instructions burned: 101 (million)
% 3.15/0.81  % (2325)------------------------------
% 3.15/0.81  % (2325)------------------------------
% 3.15/0.82  % (2369)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.15/0.83  % (2374)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.15/0.83  % (2319)Instruction limit reached!
% 3.15/0.83  % (2319)------------------------------
% 3.15/0.83  % (2319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.83  % (2319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.83  % (2319)Termination reason: Unknown
% 3.15/0.83  % (2319)Termination phase: Saturation
% 3.15/0.83  
% 3.15/0.83  % (2319)Memory used [KB]: 7164
% 3.15/0.83  % (2319)Time elapsed: 0.379 s
% 3.15/0.83  % (2319)Instructions burned: 100 (million)
% 3.15/0.83  % (2319)------------------------------
% 3.15/0.83  % (2319)------------------------------
% 3.15/0.83  % (2324)Instruction limit reached!
% 3.15/0.83  % (2324)------------------------------
% 3.15/0.83  % (2324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.15/0.83  % (2324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.15/0.83  % (2324)Termination reason: Unknown
% 3.15/0.83  % (2324)Termination phase: Saturation
% 3.15/0.83  
% 3.15/0.83  % (2324)Memory used [KB]: 7547
% 3.15/0.83  % (2324)Time elapsed: 0.391 s
% 3.15/0.83  % (2324)Instructions burned: 101 (million)
% 3.15/0.83  % (2324)------------------------------
% 3.15/0.83  % (2324)------------------------------
% 3.15/0.83  % (2362)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.15/0.83  % (2372)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 (2996ds/68Mi)
% 3.32/0.86  % (2397)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.32/0.87  % (2387)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.32/0.87  % (2384)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.32/0.87  % (2385)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.32/0.87  % (2367)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.32/0.87  TRYING [4]
% 3.32/0.87  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.32/0.87  % (2378)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.32/0.88  % (2333)Instruction limit reached!
% 3.32/0.88  % (2333)------------------------------
% 3.32/0.88  % (2333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.88  % (2333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.88  % (2333)Termination reason: Unknown
% 3.32/0.88  % (2333)Termination phase: Saturation
% 3.32/0.88  
% 3.32/0.88  % (2333)Memory used [KB]: 4093
% 3.32/0.88  % (2333)Time elapsed: 0.423 s
% 3.32/0.88  % (2333)Instructions burned: 177 (million)
% 3.32/0.88  % (2333)------------------------------
% 3.32/0.88  % (2333)------------------------------
% 3.32/0.88  % (2389)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.32/0.90  % (2406)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.32/0.91  % (2327)Instruction limit reached!
% 3.32/0.91  % (2327)------------------------------
% 3.32/0.91  % (2327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.91  % (2327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.91  % (2327)Termination reason: Unknown
% 3.32/0.91  % (2327)Termination phase: Saturation
% 3.32/0.91  
% 3.32/0.91  % (2327)Memory used [KB]: 8059
% 3.32/0.91  % (2327)Time elapsed: 0.442 s
% 3.32/0.91  % (2327)Instructions burned: 140 (million)
% 3.32/0.91  % (2327)------------------------------
% 3.32/0.91  % (2327)------------------------------
% 3.32/0.91  % (2326)Instruction limit reached!
% 3.32/0.91  % (2326)------------------------------
% 3.32/0.91  % (2326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.92  % (2422)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 (2995ds/68Mi)
% 3.32/0.92  % (2351)Instruction limit reached!
% 3.32/0.92  % (2351)------------------------------
% 3.32/0.92  % (2351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.92  % (2351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.92  % (2351)Termination reason: Unknown
% 3.32/0.92  % (2351)Termination phase: Saturation
% 3.32/0.92  
% 3.32/0.92  % (2351)Memory used [KB]: 7036
% 3.32/0.92  % (2351)Time elapsed: 0.222 s
% 3.32/0.92  % (2351)Instructions burned: 90 (million)
% 3.32/0.92  % (2351)------------------------------
% 3.32/0.92  % (2351)------------------------------
% 3.32/0.92  % (2326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.92  % (2326)Termination reason: Unknown
% 3.32/0.92  % (2326)Termination phase: Saturation
% 3.32/0.92  
% 3.32/0.92  % (2326)Memory used [KB]: 6652
% 3.32/0.92  % (2326)Time elapsed: 0.470 s
% 3.32/0.92  % (2326)Instructions burned: 177 (million)
% 3.32/0.92  % (2326)------------------------------
% 3.32/0.92  % (2326)------------------------------
% 3.32/0.94  % (2421)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.70/0.96  % (2431)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.70/0.97  % (2432)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.70/0.97  % (2372)Instruction limit reached!
% 3.70/0.97  % (2372)------------------------------
% 3.70/0.97  % (2372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.70/0.97  % (2372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.70/0.97  % (2372)Termination reason: Unknown
% 3.70/0.97  % (2372)Termination phase: Saturation
% 3.70/0.97  
% 3.70/0.97  % (2372)Memory used [KB]: 7036
% 3.70/0.97  % (2372)Time elapsed: 0.037 s
% 3.70/0.97  % (2372)Instructions burned: 69 (million)
% 3.70/0.97  % (2372)------------------------------
% 3.70/0.97  % (2372)------------------------------
% 3.70/0.99  % (2467)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.90/1.01  % (2384)Instruction limit reached!
% 3.90/1.01  % (2384)------------------------------
% 3.90/1.01  % (2384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/1.01  % (2384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/1.01  % (2384)Termination reason: Unknown
% 3.90/1.01  % (2384)Termination phase: Saturation
% 3.90/1.01  
% 3.90/1.01  % (2384)Memory used [KB]: 6908
% 3.90/1.01  % (2384)Time elapsed: 0.224 s
% 3.90/1.01  % (2384)Instructions burned: 90 (million)
% 3.90/1.01  % (2384)------------------------------
% 3.90/1.01  % (2384)------------------------------
% 3.90/1.02  % (2422)Instruction limit reached!
% 3.90/1.02  % (2422)------------------------------
% 3.90/1.02  % (2422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/1.02  % (2422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/1.02  % (2422)Termination reason: Unknown
% 3.90/1.02  % (2422)Termination phase: Saturation
% 3.90/1.02  
% 3.90/1.02  % (2422)Memory used [KB]: 7036
% 3.90/1.02  % (2422)Time elapsed: 0.067 s
% 3.90/1.02  % (2422)Instructions burned: 68 (million)
% 3.90/1.02  % (2422)------------------------------
% 3.90/1.02  % (2422)------------------------------
% 3.90/1.03  % (2489)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 4.14/1.05  % (2499)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 4.14/1.06  % (2496)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 4.14/1.07  % (2347)Instruction limit reached!
% 4.14/1.07  % (2347)------------------------------
% 4.14/1.07  % (2347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.14/1.08  % (2347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.14/1.09  % (2347)Termination reason: Unknown
% 4.14/1.09  % (2347)Termination phase: Saturation
% 4.14/1.09  
% 4.14/1.09  % (2347)Memory used [KB]: 4605
% 4.14/1.09  % (2347)Time elapsed: 0.429 s
% 4.14/1.09  % (2347)Instructions burned: 212 (million)
% 4.14/1.09  % (2347)------------------------------
% 4.14/1.09  % (2347)------------------------------
% 4.36/1.11  % (2518)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 4.36/1.13  % (2528)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 4.36/1.13  % (2529)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 4.43/1.20  % (2496)Instruction limit reached!
% 4.43/1.20  % (2496)------------------------------
% 4.43/1.20  % (2496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.43/1.21  % (2335)Instruction limit reached!
% 4.43/1.21  % (2335)------------------------------
% 4.43/1.21  % (2335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.43/1.21  % (2335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.43/1.21  % (2335)Termination reason: Unknown
% 4.43/1.21  % (2335)Termination phase: Saturation
% 4.43/1.21  
% 4.43/1.21  % (2335)Memory used [KB]: 12281
% 4.43/1.21  % (2335)Time elapsed: 0.745 s
% 4.43/1.21  % (2335)Instructions burned: 355 (million)
% 4.43/1.21  % (2335)------------------------------
% 4.43/1.21  % (2335)------------------------------
% 4.43/1.22  % (2547)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 4.43/1.22  % (2496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.43/1.22  % (2496)Termination reason: Unknown
% 4.43/1.22  % (2496)Termination phase: Saturation
% 4.43/1.22  
% 4.43/1.22  % (2496)Memory used [KB]: 7164
% 4.43/1.22  % (2496)Time elapsed: 0.265 s
% 4.43/1.22  % (2496)Instructions burned: 90 (million)
% 4.43/1.22  % (2496)------------------------------
% 4.43/1.22  % (2496)------------------------------
% 6.96/1.29  % (2339)Instruction limit reached!
% 6.96/1.29  % (2339)------------------------------
% 6.96/1.29  % (2339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.30  % (2339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.30  % (2339)Termination reason: Unknown
% 6.96/1.30  % (2339)Termination phase: Saturation
% 6.96/1.30  
% 6.96/1.30  % (2339)Memory used [KB]: 9722
% 7.41/1.31  % (2339)Time elapsed: 0.656 s
% 7.41/1.31  % (2339)Instructions burned: 389 (million)
% 7.41/1.31  % (2339)------------------------------
% 7.41/1.31  % (2339)------------------------------
% 7.41/1.33  % (2600)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 7.41/1.35  % (2603)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.41/1.36  % (2329)Instruction limit reached!
% 7.41/1.36  % (2329)------------------------------
% 7.41/1.36  % (2329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.37  % (2329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.37  % (2329)Termination reason: Unknown
% 7.84/1.37  % (2329)Termination phase: Saturation
% 7.84/1.37  
% 7.84/1.37  % (2329)Memory used [KB]: 8955
% 7.84/1.37  % (2329)Time elapsed: 0.807 s
% 7.84/1.37  % (2329)Instructions burned: 468 (million)
% 7.84/1.37  % (2329)------------------------------
% 7.84/1.37  % (2329)------------------------------
% 7.84/1.37  TRYING [5]
% 7.84/1.37  % (2328)Instruction limit reached!
% 7.84/1.37  % (2328)------------------------------
% 7.84/1.37  % (2328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.37  % (2328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.37  % (2328)Termination reason: Unknown
% 7.84/1.37  % (2328)Termination phase: Saturation
% 7.84/1.37  
% 7.84/1.37  % (2328)Memory used [KB]: 5884
% 7.84/1.37  % (2328)Time elapsed: 0.927 s
% 7.84/1.37  % (2328)Instructions burned: 498 (million)
% 7.84/1.37  % (2328)------------------------------
% 7.84/1.37  % (2328)------------------------------
% 7.84/1.40  % (2606)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.84/1.42  % (2389)First to succeed.
% 7.84/1.42  % (2330)Instruction limit reached!
% 7.84/1.42  % (2330)------------------------------
% 7.84/1.42  % (2330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.42  % (2330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.42  % (2330)Termination reason: Unknown
% 7.84/1.42  % (2330)Termination phase: Saturation
% 7.84/1.42  
% 7.84/1.42  % (2330)Memory used [KB]: 14072
% 7.84/1.42  % (2330)Time elapsed: 0.978 s
% 7.84/1.42  % (2330)Instructions burned: 482 (million)
% 7.84/1.42  % (2330)------------------------------
% 7.84/1.42  % (2330)------------------------------
% 7.84/1.44  % (2389)Refutation found. Thanks to Tanya!
% 7.84/1.44  % SZS status Unsatisfiable for theBenchmark
% 7.84/1.44  % SZS output start Proof for theBenchmark
% See solution above
% 7.84/1.44  % (2389)------------------------------
% 7.84/1.44  % (2389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.44  % (2389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.44  % (2389)Termination reason: Refutation
% 7.84/1.44  
% 7.84/1.44  % (2389)Memory used [KB]: 2302
% 7.84/1.44  % (2389)Time elapsed: 0.660 s
% 7.84/1.44  % (2389)Instructions burned: 460 (million)
% 7.84/1.44  % (2389)------------------------------
% 7.84/1.44  % (2389)------------------------------
% 7.84/1.44  % (2305)Success in time 1.079 s
%------------------------------------------------------------------------------