TSTP Solution File: SWC065-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC065-1 : 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 : n023.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 18:41:29 EDT 2022

% Result   : Unsatisfiable 9.13s 1.59s
% Output   : Refutation 9.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  240
% Syntax   : Number of formulae    :  687 (  47 unt;   0 def)
%            Number of atoms       : 2110 ( 270 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives : 2654 (1231   ~;1234   |;   0   &)
%                                         ( 189 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :  205 ( 203 usr; 190 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :  228 ( 228   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1886,plain,
    $false,
    inference(avatar_smt_refutation,[],[f241,f250,f255,f264,f269,f274,f279,f284,f288,f293,f298,f303,f307,f308,f313,f314,f315,f320,f327,f332,f336,f341,f342,f347,f352,f357,f359,f364,f365,f366,f371,f379,f386,f392,f398,f400,f402,f410,f415,f420,f428,f433,f456,f465,f473,f476,f477,f491,f497,f515,f520,f525,f530,f541,f546,f551,f559,f582,f587,f592,f597,f619,f623,f627,f643,f647,f661,f666,f671,f686,f694,f699,f704,f708,f713,f744,f749,f753,f758,f763,f768,f801,f810,f831,f836,f854,f859,f867,f876,f881,f885,f890,f910,f930,f935,f940,f959,f964,f969,f974,f982,f986,f995,f1000,f1019,f1024,f1033,f1038,f1043,f1048,f1056,f1060,f1067,f1068,f1074,f1075,f1094,f1098,f1107,f1112,f1132,f1141,f1146,f1150,f1174,f1179,f1202,f1207,f1226,f1234,f1239,f1243,f1248,f1253,f1258,f1267,f1450,f1460,f1478,f1489,f1497,f1498,f1506,f1507,f1517,f1521,f1522,f1523,f1595,f1608,f1613,f1618,f1623,f1636,f1641,f1646,f1651,f1667,f1670,f1677,f1685,f1693,f1694,f1699,f1704,f1709,f1714,f1720,f1741,f1745,f1749,f1750,f1751,f1752,f1753,f1771,f1775,f1779,f1783,f1792,f1797,f1806,f1815,f1820,f1825,f1829,f1830,f1852,f1877,f1883,f1885]) ).

fof(f1885,plain,
    ( ~ spl0_12
    | spl0_184 ),
    inference(avatar_split_clause,[],[f1884,f1803,f290]) ).

fof(f290,plain,
    ( spl0_12
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1803,plain,
    ( spl0_184
  <=> segmentP(sk3,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f1884,plain,
    ( ~ ssList(sk3)
    | spl0_184 ),
    inference(resolution,[],[f1805,f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

fof(f1805,plain,
    ( ~ segmentP(sk3,sk3)
    | spl0_184 ),
    inference(avatar_component_clause,[],[f1803]) ).

fof(f1883,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_12
    | spl0_183 ),
    inference(avatar_split_clause,[],[f1882,f1799,f290,f261,f243]) ).

fof(f243,plain,
    ( spl0_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f261,plain,
    ( spl0_6
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1799,plain,
    ( spl0_183
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1882,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | ~ spl0_12
    | spl0_183 ),
    inference(resolution,[],[f1801,f445]) ).

fof(f445,plain,
    ( ! [X1] :
        ( neq(sk3,X1)
        | ~ ssList(X1)
        | sk3 = X1 )
    | ~ spl0_12 ),
    inference(resolution,[],[f100,f292]) ).

fof(f292,plain,
    ( ssList(sk3)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f290]) ).

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

fof(f1801,plain,
    ( ~ neq(sk3,nil)
    | spl0_183 ),
    inference(avatar_component_clause,[],[f1799]) ).

fof(f1877,plain,
    ( ~ spl0_13
    | spl0_169 ),
    inference(avatar_split_clause,[],[f1876,f1696,f295]) ).

fof(f295,plain,
    ( spl0_13
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1696,plain,
    ( spl0_169
  <=> segmentP(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f1876,plain,
    ( ~ ssList(sk5)
    | spl0_169 ),
    inference(resolution,[],[f1698,f56]) ).

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

fof(f1698,plain,
    ( ~ segmentP(sk5,nil)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1696]) ).

fof(f1852,plain,
    ( spl0_189
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1844,f668,f310,f1849]) ).

fof(f1849,plain,
    ( spl0_189
  <=> ssList(app(sk4,app(sk5,sk5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f310,plain,
    ( spl0_16
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f668,plain,
    ( spl0_64
  <=> ssList(app(sk5,sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1844,plain,
    ( ssList(app(sk4,app(sk5,sk5)))
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(resolution,[],[f670,f509]) ).

fof(f509,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | ssList(app(sk4,X2)) )
    | ~ spl0_16 ),
    inference(resolution,[],[f312,f85]) ).

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

fof(f312,plain,
    ( ssList(sk4)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f670,plain,
    ( ssList(app(sk5,sk5))
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f1830,plain,
    ( ~ spl0_16
    | spl0_8
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1808,f1682,f271,f310]) ).

fof(f271,plain,
    ( spl0_8
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1682,plain,
    ( spl0_167
  <=> segmentP(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1808,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_167 ),
    inference(resolution,[],[f1684,f80]) ).

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

fof(f1684,plain,
    ( segmentP(nil,sk4)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1682]) ).

fof(f1829,plain,
    ( spl0_188
    | ~ spl0_16
    | ~ spl0_2
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1810,f1682,f243,f310,f1827]) ).

fof(f1827,plain,
    ( spl0_188
  <=> ! [X3] :
        ( ~ ssList(X3)
        | ~ segmentP(sk4,X3)
        | segmentP(nil,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f1810,plain,
    ( ! [X3] :
        ( ~ ssList(nil)
        | ~ ssList(sk4)
        | ~ ssList(X3)
        | segmentP(nil,X3)
        | ~ segmentP(sk4,X3) )
    | ~ spl0_167 ),
    inference(resolution,[],[f1684,f152]) ).

fof(f152,axiom,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X0)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | segmentP(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f1825,plain,
    ( ~ spl0_2
    | spl0_187
    | ~ spl0_16
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1821,f1682,f310,f1823,f243]) ).

fof(f1823,plain,
    ( spl0_187
  <=> ! [X2,X1] :
        ( segmentP(app(X1,X2),sk4)
        | ~ ssList(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f1821,plain,
    ( ! [X2,X1] :
        ( ~ ssList(sk4)
        | segmentP(app(X1,X2),sk4)
        | ~ ssList(nil)
        | ~ ssList(X2)
        | ~ ssList(X1) )
    | ~ spl0_167 ),
    inference(forward_subsumption_demodulation,[],[f1809,f73]) ).

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

fof(f1809,plain,
    ( ! [X2,X1] :
        ( ~ ssList(nil)
        | segmentP(app(app(X1,nil),X2),sk4)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(sk4) )
    | ~ spl0_167 ),
    inference(resolution,[],[f1684,f172]) ).

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

fof(f1820,plain,
    ( ~ spl0_186
    | ~ spl0_2
    | ~ spl0_16
    | spl0_8
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1811,f1682,f271,f310,f243,f1817]) ).

fof(f1817,plain,
    ( spl0_186
  <=> segmentP(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f1811,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | ~ segmentP(sk4,nil)
    | ~ spl0_167 ),
    inference(resolution,[],[f1684,f127]) ).

fof(f127,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ segmentP(X1,X0)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f1815,plain,
    ( spl0_185
    | ~ spl0_16
    | ~ spl0_60
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1807,f1682,f641,f310,f1813]) ).

fof(f1813,plain,
    ( spl0_185
  <=> ! [X0] :
        ( segmentP(X0,sk4)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f641,plain,
    ( spl0_60
  <=> ! [X0,X1] :
        ( ~ segmentP(nil,X1)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | segmentP(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1807,plain,
    ( ! [X0] :
        ( ~ ssList(sk4)
        | segmentP(X0,sk4)
        | ~ ssList(X0) )
    | ~ spl0_60
    | ~ spl0_167 ),
    inference(resolution,[],[f1684,f642]) ).

fof(f642,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(nil,X1)
        | ~ ssList(X1)
        | segmentP(X0,X1)
        | ~ ssList(X0) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f1806,plain,
    ( ~ spl0_12
    | ~ spl0_183
    | ~ spl0_184
    | ~ spl0_11
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1785,f1674,f286,f1803,f1799,f290]) ).

fof(f286,plain,
    ( spl0_11
  <=> ! [X6] :
        ( ~ segmentP(sk4,X6)
        | ~ segmentP(sk3,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1674,plain,
    ( spl0_166
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1785,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ neq(sk3,nil)
    | ~ ssList(sk3)
    | ~ spl0_11
    | ~ spl0_166 ),
    inference(resolution,[],[f1676,f287]) ).

fof(f287,plain,
    ( ! [X6] :
        ( ~ segmentP(sk4,X6)
        | ~ neq(X6,nil)
        | ~ segmentP(sk3,X6)
        | ~ ssList(X6) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1676,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1674]) ).

fof(f1797,plain,
    ( ~ spl0_16
    | spl0_182
    | ~ spl0_12
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1793,f1674,f290,f1795,f310]) ).

fof(f1795,plain,
    ( spl0_182
  <=> ! [X0,X1] :
        ( ~ ssList(X1)
        | ~ ssList(X0)
        | segmentP(app(X0,app(sk4,X1)),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f1793,plain,
    ( ! [X0,X1] :
        ( ~ ssList(sk3)
        | ~ ssList(X1)
        | segmentP(app(X0,app(sk4,X1)),sk3)
        | ~ ssList(X0)
        | ~ ssList(sk4) )
    | ~ spl0_166 ),
    inference(forward_subsumption_demodulation,[],[f1786,f149]) ).

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

fof(f1786,plain,
    ( ! [X0,X1] :
        ( ~ ssList(sk3)
        | ~ ssList(X0)
        | ~ ssList(sk4)
        | segmentP(app(app(X0,sk4),X1),sk3)
        | ~ ssList(X1) )
    | ~ spl0_166 ),
    inference(resolution,[],[f1676,f172]) ).

fof(f1792,plain,
    ( spl0_181
    | ~ spl0_16
    | ~ spl0_12
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1787,f1674,f290,f310,f1790]) ).

fof(f1790,plain,
    ( spl0_181
  <=> ! [X2] :
        ( ~ segmentP(sk3,X2)
        | segmentP(sk4,X2)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1787,plain,
    ( ! [X2] :
        ( ~ ssList(sk3)
        | ~ ssList(sk4)
        | ~ segmentP(sk3,X2)
        | ~ ssList(X2)
        | segmentP(sk4,X2) )
    | ~ spl0_166 ),
    inference(resolution,[],[f1676,f152]) ).

fof(f1783,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | spl0_180
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1764,f417,f1781,f295,f243]) ).

fof(f1781,plain,
    ( spl0_180
  <=> ! [X7] :
        ( ~ ssList(X7)
        | segmentP(app(X7,sk5),sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f417,plain,
    ( spl0_34
  <=> sk5 = app(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1764,plain,
    ( ! [X7] :
        ( ~ ssList(X7)
        | ~ ssList(sk5)
        | segmentP(app(X7,sk5),sk5)
        | ~ ssList(nil) )
    | ~ spl0_34 ),
    inference(superposition,[],[f837,f419]) ).

fof(f419,plain,
    ( sk5 = app(sk5,nil)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f837,plain,
    ! [X3,X4,X5] :
      ( segmentP(app(X4,app(X3,X5)),X3)
      | ~ ssList(X5)
      | ~ ssList(X4)
      | ~ ssList(X3) ),
    inference(forward_subsumption_demodulation,[],[f825,f149]) ).

fof(f825,plain,
    ! [X3,X4,X5] :
      ( ~ ssList(X5)
      | segmentP(app(app(X4,X3),X5),X3)
      | ~ ssList(X4)
      | ~ ssList(X3) ),
    inference(duplicate_literal_removal,[],[f823]) ).

fof(f823,plain,
    ! [X3,X4,X5] :
      ( ~ ssList(X3)
      | ~ ssList(X5)
      | ~ ssList(X3)
      | segmentP(app(app(X4,X3),X5),X3)
      | ~ ssList(X3)
      | ~ ssList(X4) ),
    inference(resolution,[],[f172,f57]) ).

fof(f1779,plain,
    ( ~ spl0_13
    | ~ spl0_12
    | spl0_179
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1762,f368,f1777,f290,f295]) ).

fof(f1777,plain,
    ( spl0_179
  <=> ! [X5] :
        ( ~ ssList(X5)
        | segmentP(app(X5,sk4),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f368,plain,
    ( spl0_27
  <=> sk4 = app(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1762,plain,
    ( ! [X5] :
        ( ~ ssList(X5)
        | ~ ssList(sk3)
        | segmentP(app(X5,sk4),sk3)
        | ~ ssList(sk5) )
    | ~ spl0_27 ),
    inference(superposition,[],[f837,f370]) ).

fof(f370,plain,
    ( sk4 = app(sk3,sk5)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1775,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | spl0_178
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1761,f407,f1773,f290,f243]) ).

fof(f1773,plain,
    ( spl0_178
  <=> ! [X4] :
        ( ~ ssList(X4)
        | segmentP(app(X4,sk3),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f407,plain,
    ( spl0_32
  <=> sk3 = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1761,plain,
    ( ! [X4] :
        ( ~ ssList(X4)
        | segmentP(app(X4,sk3),sk3)
        | ~ ssList(sk3)
        | ~ ssList(nil) )
    | ~ spl0_32 ),
    inference(superposition,[],[f837,f409]) ).

fof(f409,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f1771,plain,
    ( spl0_177
    | ~ spl0_16
    | ~ spl0_2
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1763,f522,f243,f310,f1769]) ).

fof(f1769,plain,
    ( spl0_177
  <=> ! [X6] :
        ( ~ ssList(X6)
        | segmentP(app(X6,sk4),sk4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f522,plain,
    ( spl0_45
  <=> sk4 = app(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1763,plain,
    ( ! [X6] :
        ( ~ ssList(nil)
        | ~ ssList(sk4)
        | ~ ssList(X6)
        | segmentP(app(X6,sk4),sk4) )
    | ~ spl0_45 ),
    inference(superposition,[],[f837,f524]) ).

fof(f524,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f1753,plain,
    ( ~ spl0_13
    | spl0_174
    | ~ spl0_2
    | ~ spl0_36
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1730,f829,f430,f243,f1739,f295]) ).

fof(f1739,plain,
    ( spl0_174
  <=> ! [X7] :
        ( segmentP(app(X7,sk5),nil)
        | ~ ssList(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f430,plain,
    ( spl0_36
  <=> sk5 = app(nil,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f829,plain,
    ( spl0_83
  <=> ! [X2,X0,X1] :
        ( ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(X0)
        | segmentP(app(X0,app(X1,X2)),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1730,plain,
    ( ! [X1] :
        ( ~ ssList(nil)
        | segmentP(app(X1,sk5),nil)
        | ~ ssList(sk5)
        | ~ ssList(X1) )
    | ~ spl0_36
    | ~ spl0_83 ),
    inference(superposition,[],[f830,f432]) ).

fof(f432,plain,
    ( sk5 = app(nil,sk5)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f830,plain,
    ( ! [X2,X0,X1] :
        ( segmentP(app(X0,app(X1,X2)),nil)
        | ~ ssList(X2)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f1752,plain,
    ( ~ spl0_2
    | ~ spl0_16
    | spl0_175
    | ~ spl0_45
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1735,f829,f522,f1743,f310,f243]) ).

fof(f1743,plain,
    ( spl0_175
  <=> ! [X2] :
        ( ~ ssList(X2)
        | segmentP(app(X2,sk4),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1735,plain,
    ( ! [X6] :
        ( segmentP(app(X6,sk4),nil)
        | ~ ssList(X6)
        | ~ ssList(sk4)
        | ~ ssList(nil) )
    | ~ spl0_45
    | ~ spl0_83 ),
    inference(superposition,[],[f830,f524]) ).

fof(f1751,plain,
    ( ~ spl0_13
    | spl0_175
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1734,f829,f368,f290,f1743,f295]) ).

fof(f1734,plain,
    ( ! [X5] :
        ( ~ ssList(sk3)
        | segmentP(app(X5,sk4),nil)
        | ~ ssList(sk5)
        | ~ ssList(X5) )
    | ~ spl0_27
    | ~ spl0_83 ),
    inference(superposition,[],[f830,f370]) ).

fof(f1750,plain,
    ( ~ spl0_12
    | ~ spl0_2
    | spl0_176
    | ~ spl0_35
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1729,f829,f425,f1747,f243,f290]) ).

fof(f1747,plain,
    ( spl0_176
  <=> ! [X4] :
        ( segmentP(app(X4,sk3),nil)
        | ~ ssList(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f425,plain,
    ( spl0_35
  <=> sk3 = app(nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1729,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | segmentP(app(X0,sk3),nil)
        | ~ ssList(nil)
        | ~ ssList(sk3) )
    | ~ spl0_35
    | ~ spl0_83 ),
    inference(superposition,[],[f830,f427]) ).

fof(f427,plain,
    ( sk3 = app(nil,sk3)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1749,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | spl0_176
    | ~ spl0_32
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1733,f829,f407,f1747,f290,f243]) ).

fof(f1733,plain,
    ( ! [X4] :
        ( segmentP(app(X4,sk3),nil)
        | ~ ssList(sk3)
        | ~ ssList(nil)
        | ~ ssList(X4) )
    | ~ spl0_32
    | ~ spl0_83 ),
    inference(superposition,[],[f830,f409]) ).

fof(f1745,plain,
    ( ~ spl0_16
    | spl0_175
    | ~ spl0_2
    | ~ spl0_44
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1731,f829,f517,f243,f1743,f310]) ).

fof(f517,plain,
    ( spl0_44
  <=> sk4 = app(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1731,plain,
    ( ! [X2] :
        ( ~ ssList(nil)
        | ~ ssList(X2)
        | ~ ssList(sk4)
        | segmentP(app(X2,sk4),nil) )
    | ~ spl0_44
    | ~ spl0_83 ),
    inference(superposition,[],[f830,f519]) ).

fof(f519,plain,
    ( sk4 = app(nil,sk4)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f1741,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | spl0_174
    | ~ spl0_34
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1736,f829,f417,f1739,f295,f243]) ).

fof(f1736,plain,
    ( ! [X7] :
        ( segmentP(app(X7,sk5),nil)
        | ~ ssList(sk5)
        | ~ ssList(nil)
        | ~ ssList(X7) )
    | ~ spl0_34
    | ~ spl0_83 ),
    inference(superposition,[],[f830,f419]) ).

fof(f1720,plain,
    ( ~ spl0_97
    | ~ spl0_12
    | spl0_173
    | ~ spl0_13
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1657,f368,f295,f295,f1717,f290,f937]) ).

fof(f937,plain,
    ( spl0_97
  <=> ssList(app(sk4,sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1717,plain,
    ( spl0_173
  <=> segmentP(app(sk4,sk5),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1657,plain,
    ( ~ ssList(sk5)
    | segmentP(app(sk4,sk5),sk5)
    | ~ ssList(sk3)
    | ~ ssList(app(sk4,sk5))
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(superposition,[],[f920,f370]) ).

fof(f920,plain,
    ( ! [X6,X7] :
        ( ~ ssList(app(app(X6,X7),sk5))
        | ~ ssList(X6)
        | ~ ssList(X7)
        | segmentP(app(app(X6,X7),sk5),X7) )
    | ~ spl0_13 ),
    inference(resolution,[],[f225,f297]) ).

fof(f297,plain,
    ( ssList(sk5)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f225,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(equality_resolution,[],[f173]) ).

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

fof(f1714,plain,
    ( ~ spl0_13
    | ~ spl0_2
    | ~ spl0_64
    | spl0_172
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1653,f430,f295,f1711,f668,f243,f295]) ).

fof(f1711,plain,
    ( spl0_172
  <=> segmentP(app(sk5,sk5),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1653,plain,
    ( segmentP(app(sk5,sk5),sk5)
    | ~ ssList(app(sk5,sk5))
    | ~ ssList(nil)
    | ~ ssList(sk5)
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(superposition,[],[f920,f432]) ).

fof(f1709,plain,
    ( ~ spl0_16
    | spl0_171
    | ~ spl0_97
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1654,f517,f295,f243,f937,f1706,f310]) ).

fof(f1706,plain,
    ( spl0_171
  <=> segmentP(app(sk4,sk5),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1654,plain,
    ( ~ ssList(nil)
    | ~ ssList(app(sk4,sk5))
    | segmentP(app(sk4,sk5),sk4)
    | ~ ssList(sk4)
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(superposition,[],[f920,f519]) ).

fof(f1704,plain,
    ( ~ spl0_13
    | ~ spl0_2
    | spl0_170
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1700,f1664,f1702,f243,f295]) ).

fof(f1702,plain,
    ( spl0_170
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | segmentP(app(X0,X1),sk5)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1664,plain,
    ( spl0_165
  <=> segmentP(nil,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1700,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | segmentP(app(X0,X1),sk5)
        | ~ ssList(sk5) )
    | ~ spl0_165 ),
    inference(forward_subsumption_demodulation,[],[f1687,f73]) ).

fof(f1687,plain,
    ( ! [X0,X1] :
        ( ~ ssList(nil)
        | segmentP(app(app(X0,nil),X1),sk5)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(sk5) )
    | ~ spl0_165 ),
    inference(resolution,[],[f1666,f172]) ).

fof(f1666,plain,
    ( segmentP(nil,sk5)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1664]) ).

fof(f1699,plain,
    ( ~ spl0_169
    | spl0_39
    | ~ spl0_13
    | ~ spl0_2
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1689,f1664,f243,f295,f467,f1696]) ).

fof(f467,plain,
    ( spl0_39
  <=> nil = sk5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1689,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk5)
    | nil = sk5
    | ~ segmentP(sk5,nil)
    | ~ spl0_165 ),
    inference(resolution,[],[f1666,f127]) ).

fof(f1694,plain,
    ( ~ spl0_13
    | spl0_39
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1686,f1664,f467,f295]) ).

fof(f1686,plain,
    ( nil = sk5
    | ~ ssList(sk5)
    | ~ spl0_165 ),
    inference(resolution,[],[f1666,f80]) ).

fof(f1693,plain,
    ( spl0_168
    | ~ spl0_13
    | ~ spl0_2
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1688,f1664,f243,f295,f1691]) ).

fof(f1691,plain,
    ( spl0_168
  <=> ! [X2] :
        ( segmentP(nil,X2)
        | ~ segmentP(sk5,X2)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1688,plain,
    ( ! [X2] :
        ( ~ ssList(nil)
        | ~ ssList(sk5)
        | segmentP(nil,X2)
        | ~ ssList(X2)
        | ~ segmentP(sk5,X2) )
    | ~ spl0_165 ),
    inference(resolution,[],[f1666,f152]) ).

fof(f1685,plain,
    ( ~ spl0_16
    | ~ spl0_2
    | spl0_167
    | ~ spl0_13
    | ~ spl0_44
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1680,f1228,f517,f295,f1682,f243,f310]) ).

fof(f1228,plain,
    ( spl0_135
  <=> nil = app(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1680,plain,
    ( segmentP(nil,sk4)
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | ~ spl0_13
    | ~ spl0_44
    | ~ spl0_135 ),
    inference(forward_demodulation,[],[f1679,f1230]) ).

fof(f1230,plain,
    ( nil = app(sk4,sk5)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f1228]) ).

fof(f1679,plain,
    ( segmentP(app(sk4,sk5),sk4)
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | ~ spl0_13
    | ~ spl0_44
    | ~ spl0_135 ),
    inference(duplicate_literal_removal,[],[f1678]) ).

fof(f1678,plain,
    ( ~ ssList(sk4)
    | segmentP(app(sk4,sk5),sk4)
    | ~ ssList(nil)
    | ~ ssList(nil)
    | ~ spl0_13
    | ~ spl0_44
    | ~ spl0_135 ),
    inference(forward_demodulation,[],[f1654,f1230]) ).

fof(f1677,plain,
    ( ~ spl0_16
    | spl0_166
    | ~ spl0_12
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_27
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1672,f425,f368,f295,f243,f290,f1674,f310]) ).

fof(f1672,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk3)
    | segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ spl0_13
    | ~ spl0_27
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f1671,f370]) ).

fof(f1671,plain,
    ( ~ ssList(nil)
    | ~ ssList(app(sk3,sk5))
    | segmentP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ spl0_13
    | ~ spl0_27
    | ~ spl0_35 ),
    inference(forward_demodulation,[],[f1652,f370]) ).

fof(f1652,plain,
    ( segmentP(app(sk3,sk5),sk3)
    | ~ ssList(app(sk3,sk5))
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | ~ spl0_13
    | ~ spl0_35 ),
    inference(superposition,[],[f920,f427]) ).

fof(f1670,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | spl0_165
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_27
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1669,f1228,f368,f295,f290,f1664,f295,f243]) ).

fof(f1669,plain,
    ( ~ ssList(sk3)
    | segmentP(nil,sk5)
    | ~ ssList(sk5)
    | ~ ssList(nil)
    | ~ spl0_13
    | ~ spl0_27
    | ~ spl0_135 ),
    inference(forward_demodulation,[],[f1668,f1230]) ).

fof(f1668,plain,
    ( ~ ssList(app(sk4,sk5))
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | segmentP(nil,sk5)
    | ~ spl0_13
    | ~ spl0_27
    | ~ spl0_135 ),
    inference(forward_demodulation,[],[f1657,f1230]) ).

fof(f1667,plain,
    ( spl0_165
    | ~ spl0_13
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_36
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1662,f861,f430,f295,f243,f295,f1664]) ).

fof(f861,plain,
    ( spl0_87
  <=> nil = app(sk5,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1662,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk5)
    | segmentP(nil,sk5)
    | ~ spl0_13
    | ~ spl0_36
    | ~ spl0_87 ),
    inference(forward_demodulation,[],[f1661,f863]) ).

fof(f863,plain,
    ( nil = app(sk5,sk5)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f1661,plain,
    ( ~ ssList(sk5)
    | segmentP(app(sk5,sk5),sk5)
    | ~ ssList(nil)
    | ~ spl0_13
    | ~ spl0_36
    | ~ spl0_87 ),
    inference(duplicate_literal_removal,[],[f1660]) ).

fof(f1660,plain,
    ( ~ ssList(nil)
    | ~ ssList(nil)
    | segmentP(app(sk5,sk5),sk5)
    | ~ ssList(sk5)
    | ~ spl0_13
    | ~ spl0_36
    | ~ spl0_87 ),
    inference(forward_demodulation,[],[f1653,f863]) ).

fof(f1651,plain,
    ( ~ spl0_62
    | ~ spl0_13
    | ~ spl0_2
    | spl0_164
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1625,f430,f310,f1648,f243,f295,f658]) ).

fof(f658,plain,
    ( spl0_62
  <=> ssList(app(sk5,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1648,plain,
    ( spl0_164
  <=> segmentP(app(sk5,sk4),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1625,plain,
    ( segmentP(app(sk5,sk4),sk5)
    | ~ ssList(nil)
    | ~ ssList(sk5)
    | ~ ssList(app(sk5,sk4))
    | ~ spl0_16
    | ~ spl0_36 ),
    inference(superposition,[],[f919,f432]) ).

fof(f919,plain,
    ( ! [X4,X5] :
        ( ~ ssList(app(app(X4,X5),sk4))
        | ~ ssList(X5)
        | ~ ssList(X4)
        | segmentP(app(app(X4,X5),sk4),X5) )
    | ~ spl0_16 ),
    inference(resolution,[],[f225,f312]) ).

fof(f1646,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | spl0_163
    | ~ spl0_46
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1624,f425,f310,f527,f1643,f290,f243]) ).

fof(f1643,plain,
    ( spl0_163
  <=> segmentP(app(sk3,sk4),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f527,plain,
    ( spl0_46
  <=> ssList(app(sk3,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1624,plain,
    ( ~ ssList(app(sk3,sk4))
    | segmentP(app(sk3,sk4),sk3)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | ~ spl0_16
    | ~ spl0_35 ),
    inference(superposition,[],[f919,f427]) ).

fof(f1641,plain,
    ( ~ spl0_96
    | spl0_162
    | ~ spl0_13
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1629,f368,f310,f290,f295,f1638,f932]) ).

fof(f932,plain,
    ( spl0_96
  <=> ssList(app(sk4,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1638,plain,
    ( spl0_162
  <=> segmentP(app(sk4,sk4),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1629,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk5)
    | segmentP(app(sk4,sk4),sk5)
    | ~ ssList(app(sk4,sk4))
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(superposition,[],[f919,f370]) ).

fof(f1636,plain,
    ( ~ spl0_16
    | spl0_161
    | ~ spl0_2
    | ~ spl0_96
    | ~ spl0_16
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1626,f517,f310,f932,f243,f1633,f310]) ).

fof(f1633,plain,
    ( spl0_161
  <=> segmentP(app(sk4,sk4),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1626,plain,
    ( ~ ssList(app(sk4,sk4))
    | ~ ssList(nil)
    | segmentP(app(sk4,sk4),sk4)
    | ~ ssList(sk4)
    | ~ spl0_16
    | ~ spl0_44 ),
    inference(superposition,[],[f919,f519]) ).

fof(f1623,plain,
    ( ~ spl0_63
    | ~ spl0_2
    | ~ spl0_13
    | spl0_160
    | ~ spl0_12
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1597,f430,f290,f1620,f295,f243,f663]) ).

fof(f663,plain,
    ( spl0_63
  <=> ssList(app(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1620,plain,
    ( spl0_160
  <=> segmentP(app(sk5,sk3),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1597,plain,
    ( segmentP(app(sk5,sk3),sk5)
    | ~ ssList(sk5)
    | ~ ssList(nil)
    | ~ ssList(app(sk5,sk3))
    | ~ spl0_12
    | ~ spl0_36 ),
    inference(superposition,[],[f918,f432]) ).

fof(f918,plain,
    ( ! [X2,X3] :
        ( ~ ssList(app(app(X2,X3),sk3))
        | segmentP(app(app(X2,X3),sk3),X3)
        | ~ ssList(X3)
        | ~ ssList(X2) )
    | ~ spl0_12 ),
    inference(resolution,[],[f225,f292]) ).

fof(f1618,plain,
    ( ~ spl0_12
    | ~ spl0_95
    | ~ spl0_13
    | spl0_159
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1601,f368,f290,f1615,f295,f927,f290]) ).

fof(f927,plain,
    ( spl0_95
  <=> ssList(app(sk4,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1615,plain,
    ( spl0_159
  <=> segmentP(app(sk4,sk3),sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1601,plain,
    ( segmentP(app(sk4,sk3),sk5)
    | ~ ssList(sk5)
    | ~ ssList(app(sk4,sk3))
    | ~ ssList(sk3)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(superposition,[],[f918,f370]) ).

fof(f1613,plain,
    ( ~ spl0_16
    | ~ spl0_2
    | spl0_158
    | ~ spl0_95
    | ~ spl0_12
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1598,f517,f290,f927,f1610,f243,f310]) ).

fof(f1610,plain,
    ( spl0_158
  <=> segmentP(app(sk4,sk3),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1598,plain,
    ( ~ ssList(app(sk4,sk3))
    | segmentP(app(sk4,sk3),sk4)
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | ~ spl0_12
    | ~ spl0_44 ),
    inference(superposition,[],[f918,f519]) ).

fof(f1608,plain,
    ( ~ spl0_37
    | spl0_157
    | ~ spl0_12
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1596,f425,f290,f243,f290,f1605,f453]) ).

fof(f453,plain,
    ( spl0_37
  <=> ssList(app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1605,plain,
    ( spl0_157
  <=> segmentP(app(sk3,sk3),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1596,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk3)
    | segmentP(app(sk3,sk3),sk3)
    | ~ ssList(app(sk3,sk3))
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(superposition,[],[f918,f427]) ).

fof(f1595,plain,
    spl0_146,
    inference(avatar_contradiction_clause,[],[f1594]) ).

fof(f1594,plain,
    ( $false
    | spl0_146 ),
    inference(resolution,[],[f1445,f15]) ).

fof(f15,axiom,
    ! [X0] : ssList(skaf80(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).

fof(f1445,plain,
    ( ~ ssList(skaf80(sk5))
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1443]) ).

fof(f1443,plain,
    ( spl0_146
  <=> ssList(skaf80(sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1523,plain,
    ( ~ spl0_12
    | spl0_155
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1511,f368,f295,f1515,f290]) ).

fof(f1515,plain,
    ( spl0_155
  <=> ! [X1] :
        ( sk4 != app(X1,sk5)
        | ~ ssList(X1)
        | sk3 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1511,plain,
    ( ! [X1] :
        ( sk4 != app(X1,sk5)
        | sk3 = X1
        | ~ ssList(X1)
        | ~ ssList(sk3) )
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(superposition,[],[f786,f370]) ).

fof(f786,plain,
    ( ! [X6,X7] :
        ( app(X7,sk5) != app(X6,sk5)
        | ~ ssList(X6)
        | ~ ssList(X7)
        | X6 = X7 )
    | ~ spl0_13 ),
    inference(resolution,[],[f151,f297]) ).

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

fof(f1522,plain,
    ( ~ spl0_2
    | spl0_156
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1510,f430,f295,f1519,f243]) ).

fof(f1519,plain,
    ( spl0_156
  <=> ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | sk5 != app(X0,sk5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1510,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = X0
        | sk5 != app(X0,sk5)
        | ~ ssList(nil) )
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(superposition,[],[f786,f432]) ).

fof(f1521,plain,
    ( ~ spl0_2
    | spl0_156
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1508,f430,f295,f1519,f243]) ).

fof(f1508,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(nil)
        | sk5 != app(X0,sk5)
        | ~ ssList(X0) )
    | ~ spl0_13
    | ~ spl0_36 ),
    inference(superposition,[],[f786,f432]) ).

fof(f1517,plain,
    ( spl0_155
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1509,f368,f295,f290,f1515]) ).

fof(f1509,plain,
    ( ! [X1] :
        ( ~ ssList(sk3)
        | sk4 != app(X1,sk5)
        | sk3 = X1
        | ~ ssList(X1) )
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(superposition,[],[f786,f370]) ).

fof(f1507,plain,
    ( ~ spl0_2
    | spl0_154
    | ~ spl0_16
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1499,f517,f310,f1504,f243]) ).

fof(f1504,plain,
    ( spl0_154
  <=> ! [X0] :
        ( ~ ssList(X0)
        | sk4 != app(X0,sk4)
        | nil = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1499,plain,
    ( ! [X0] :
        ( nil = X0
        | sk4 != app(X0,sk4)
        | ~ ssList(nil)
        | ~ ssList(X0) )
    | ~ spl0_16
    | ~ spl0_44 ),
    inference(superposition,[],[f785,f519]) ).

fof(f785,plain,
    ( ! [X4,X5] :
        ( app(X5,sk4) != app(X4,sk4)
        | X4 = X5
        | ~ ssList(X4)
        | ~ ssList(X5) )
    | ~ spl0_16 ),
    inference(resolution,[],[f151,f312]) ).

fof(f1506,plain,
    ( ~ spl0_2
    | spl0_154
    | ~ spl0_16
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1500,f517,f310,f1504,f243]) ).

fof(f1500,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil = X0
        | sk4 != app(X0,sk4)
        | ~ ssList(nil) )
    | ~ spl0_16
    | ~ spl0_44 ),
    inference(superposition,[],[f785,f519]) ).

fof(f1498,plain,
    ( spl0_153
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1490,f425,f290,f243,f1495]) ).

fof(f1495,plain,
    ( spl0_153
  <=> ! [X0] :
        ( ~ ssList(X0)
        | sk3 != app(X0,sk3)
        | nil = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1490,plain,
    ( ! [X0] :
        ( ~ ssList(nil)
        | nil = X0
        | ~ ssList(X0)
        | sk3 != app(X0,sk3) )
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(superposition,[],[f784,f427]) ).

fof(f784,plain,
    ( ! [X2,X3] :
        ( app(X2,sk3) != app(X3,sk3)
        | ~ ssList(X2)
        | X2 = X3
        | ~ ssList(X3) )
    | ~ spl0_12 ),
    inference(resolution,[],[f151,f292]) ).

fof(f1497,plain,
    ( spl0_153
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1491,f425,f290,f243,f1495]) ).

fof(f1491,plain,
    ( ! [X0] :
        ( ~ ssList(nil)
        | ~ ssList(X0)
        | nil = X0
        | sk3 != app(X0,sk3) )
    | ~ spl0_12
    | ~ spl0_35 ),
    inference(superposition,[],[f784,f427]) ).

fof(f1489,plain,
    ( ~ spl0_12
    | spl0_152
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1480,f368,f295,f1487,f290]) ).

fof(f1487,plain,
    ( spl0_152
  <=> ! [X1] :
        ( sk4 != app(sk3,X1)
        | sk5 = X1
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1480,plain,
    ( ! [X1] :
        ( sk4 != app(sk3,X1)
        | ~ ssList(X1)
        | ~ ssList(sk3)
        | sk5 = X1 )
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(superposition,[],[f651,f370]) ).

fof(f651,plain,
    ( ! [X6,X7] :
        ( app(X7,sk5) != app(X7,X6)
        | ~ ssList(X7)
        | ~ ssList(X6)
        | sk5 = X6 )
    | ~ spl0_13 ),
    inference(resolution,[],[f150,f297]) ).

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

fof(f1478,plain,
    ( ~ spl0_13
    | spl0_150
    | ~ spl0_12
    | ~ spl0_151
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1466,f368,f310,f1475,f290,f1471,f295]) ).

fof(f1471,plain,
    ( spl0_150
  <=> sk4 = sk5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1475,plain,
    ( spl0_151
  <=> sk4 = app(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1466,plain,
    ( sk4 != app(sk3,sk4)
    | ~ ssList(sk3)
    | sk4 = sk5
    | ~ ssList(sk5)
    | ~ spl0_16
    | ~ spl0_27 ),
    inference(superposition,[],[f650,f370]) ).

fof(f650,plain,
    ( ! [X4,X5] :
        ( app(X5,sk4) != app(X5,X4)
        | ~ ssList(X5)
        | ~ ssList(X4)
        | sk4 = X4 )
    | ~ spl0_16 ),
    inference(resolution,[],[f150,f312]) ).

fof(f1460,plain,
    ( ~ spl0_13
    | ~ spl0_148
    | spl0_149
    | ~ spl0_12
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1431,f368,f290,f290,f1457,f1453,f295]) ).

fof(f1453,plain,
    ( spl0_148
  <=> sk4 = app(sk3,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1457,plain,
    ( spl0_149
  <=> sk3 = sk5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1431,plain,
    ( ~ ssList(sk3)
    | sk3 = sk5
    | sk4 != app(sk3,sk3)
    | ~ ssList(sk5)
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(superposition,[],[f649,f370]) ).

fof(f649,plain,
    ( ! [X2,X3] :
        ( app(X3,sk3) != app(X3,X2)
        | ~ ssList(X3)
        | ~ ssList(X2)
        | sk3 = X2 )
    | ~ spl0_12 ),
    inference(resolution,[],[f150,f292]) ).

fof(f1450,plain,
    ( ~ spl0_144
    | ~ spl0_145
    | ~ spl0_146
    | spl0_147
    | ~ spl0_12
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1430,f803,f290,f1447,f1443,f1439,f1435]) ).

fof(f1435,plain,
    ( spl0_144
  <=> sk5 = app(skaf80(sk5),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1439,plain,
    ( spl0_145
  <=> ssList(cons(skaf78(sk5),cons(skaf79(sk5),skaf81(sk5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1447,plain,
    ( spl0_147
  <=> sk3 = cons(skaf78(sk5),cons(skaf79(sk5),skaf81(sk5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f803,plain,
    ( spl0_81
  <=> sk5 = app(skaf80(sk5),cons(skaf78(sk5),cons(skaf79(sk5),skaf81(sk5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1430,plain,
    ( sk3 = cons(skaf78(sk5),cons(skaf79(sk5),skaf81(sk5)))
    | ~ ssList(skaf80(sk5))
    | ~ ssList(cons(skaf78(sk5),cons(skaf79(sk5),skaf81(sk5))))
    | sk5 != app(skaf80(sk5),sk3)
    | ~ spl0_12
    | ~ spl0_81 ),
    inference(superposition,[],[f649,f805]) ).

fof(f805,plain,
    ( sk5 = app(skaf80(sk5),cons(skaf78(sk5),cons(skaf79(sk5),skaf81(sk5))))
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f1267,plain,
    ( spl0_142
    | spl0_143
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1214,f937,f1264,f1260]) ).

fof(f1260,plain,
    ( spl0_142
  <=> equalelemsP(app(sk4,sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1264,plain,
    ( spl0_143
  <=> app(sk4,sk5) = app(skaf80(app(sk4,sk5)),cons(skaf78(app(sk4,sk5)),cons(skaf79(app(sk4,sk5)),skaf81(app(sk4,sk5))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1214,plain,
    ( app(sk4,sk5) = app(skaf80(app(sk4,sk5)),cons(skaf78(app(sk4,sk5)),cons(skaf79(app(sk4,sk5)),skaf81(app(sk4,sk5)))))
    | equalelemsP(app(sk4,sk5))
    | ~ spl0_97 ),
    inference(resolution,[],[f939,f142]) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | equalelemsP(X0)
      | app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

fof(f939,plain,
    ( ssList(app(sk4,sk5))
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f1258,plain,
    ( spl0_141
    | ~ spl0_13
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1220,f937,f295,f1255]) ).

fof(f1255,plain,
    ( spl0_141
  <=> ssList(app(sk5,app(sk4,sk5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1220,plain,
    ( ssList(app(sk5,app(sk4,sk5)))
    | ~ spl0_13
    | ~ spl0_97 ),
    inference(resolution,[],[f939,f440]) ).

fof(f440,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | ssList(app(sk5,X2)) )
    | ~ spl0_13 ),
    inference(resolution,[],[f85,f297]) ).

fof(f1253,plain,
    ( spl0_140
    | ~ spl0_16
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1221,f937,f310,f1250]) ).

fof(f1250,plain,
    ( spl0_140
  <=> ssList(app(sk4,app(sk4,sk5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1221,plain,
    ( ssList(app(sk4,app(sk4,sk5)))
    | ~ spl0_16
    | ~ spl0_97 ),
    inference(resolution,[],[f939,f509]) ).

fof(f1248,plain,
    ( spl0_139
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1208,f937,f1245]) ).

fof(f1245,plain,
    ( spl0_139
  <=> app(app(sk4,sk5),nil) = app(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1208,plain,
    ( app(app(sk4,sk5),nil) = app(sk4,sk5)
    | ~ spl0_97 ),
    inference(resolution,[],[f939,f73]) ).

fof(f1243,plain,
    ( spl0_135
    | spl0_138
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1212,f937,f1241,f1228]) ).

fof(f1241,plain,
    ( spl0_138
  <=> ! [X2] :
        ( ~ ssList(X2)
        | nil != app(app(sk4,sk5),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1212,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | nil != app(app(sk4,sk5),X2)
        | nil = app(sk4,sk5) )
    | ~ spl0_97 ),
    inference(resolution,[],[f939,f118]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0
      | nil != app(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f1239,plain,
    ( spl0_137
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1209,f937,f1236]) ).

fof(f1236,plain,
    ( spl0_137
  <=> app(nil,app(sk4,sk5)) = app(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1209,plain,
    ( app(nil,app(sk4,sk5)) = app(sk4,sk5)
    | ~ spl0_97 ),
    inference(resolution,[],[f939,f74]) ).

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

fof(f1234,plain,
    ( spl0_135
    | spl0_136
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1213,f937,f1232,f1228]) ).

fof(f1232,plain,
    ( spl0_136
  <=> ! [X3] :
        ( nil != app(X3,app(sk4,sk5))
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1213,plain,
    ( ! [X3] :
        ( nil != app(X3,app(sk4,sk5))
        | ~ ssList(X3)
        | nil = app(sk4,sk5) )
    | ~ spl0_97 ),
    inference(resolution,[],[f939,f119]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1
      | nil != app(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f1226,plain,
    ( spl0_134
    | ~ spl0_12
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1219,f937,f290,f1223]) ).

fof(f1223,plain,
    ( spl0_134
  <=> ssList(app(sk3,app(sk4,sk5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1219,plain,
    ( ssList(app(sk3,app(sk4,sk5)))
    | ~ spl0_12
    | ~ spl0_97 ),
    inference(resolution,[],[f939,f439]) ).

fof(f439,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | ssList(app(sk3,X1)) )
    | ~ spl0_12 ),
    inference(resolution,[],[f85,f292]) ).

fof(f1207,plain,
    ( spl0_133
    | ~ spl0_16
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1193,f663,f310,f1204]) ).

fof(f1204,plain,
    ( spl0_133
  <=> ssList(app(sk4,app(sk5,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1193,plain,
    ( ssList(app(sk4,app(sk5,sk3)))
    | ~ spl0_16
    | ~ spl0_63 ),
    inference(resolution,[],[f665,f509]) ).

fof(f665,plain,
    ( ssList(app(sk5,sk3))
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f1202,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1186,f663,f1199,f1195]) ).

fof(f1195,plain,
    ( spl0_131
  <=> app(skaf80(app(sk5,sk3)),cons(skaf78(app(sk5,sk3)),cons(skaf79(app(sk5,sk3)),skaf81(app(sk5,sk3))))) = app(sk5,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1199,plain,
    ( spl0_132
  <=> equalelemsP(app(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1186,plain,
    ( equalelemsP(app(sk5,sk3))
    | app(skaf80(app(sk5,sk3)),cons(skaf78(app(sk5,sk3)),cons(skaf79(app(sk5,sk3)),skaf81(app(sk5,sk3))))) = app(sk5,sk3)
    | ~ spl0_63 ),
    inference(resolution,[],[f665,f142]) ).

fof(f1179,plain,
    ( spl0_130
    | ~ spl0_16
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1165,f658,f310,f1176]) ).

fof(f1176,plain,
    ( spl0_130
  <=> ssList(app(sk4,app(sk5,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1165,plain,
    ( ssList(app(sk4,app(sk5,sk4)))
    | ~ spl0_16
    | ~ spl0_62 ),
    inference(resolution,[],[f660,f509]) ).

fof(f660,plain,
    ( ssList(app(sk5,sk4))
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f1174,plain,
    ( spl0_128
    | spl0_129
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1158,f658,f1171,f1167]) ).

fof(f1167,plain,
    ( spl0_128
  <=> equalelemsP(app(sk5,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1171,plain,
    ( spl0_129
  <=> app(skaf80(app(sk5,sk4)),cons(skaf78(app(sk5,sk4)),cons(skaf79(app(sk5,sk4)),skaf81(app(sk5,sk4))))) = app(sk5,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1158,plain,
    ( app(skaf80(app(sk5,sk4)),cons(skaf78(app(sk5,sk4)),cons(skaf79(app(sk5,sk4)),skaf81(app(sk5,sk4))))) = app(sk5,sk4)
    | equalelemsP(app(sk5,sk4))
    | ~ spl0_62 ),
    inference(resolution,[],[f660,f142]) ).

fof(f1150,plain,
    ( spl0_52
    | spl0_127
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1119,f527,f1148,f576]) ).

fof(f576,plain,
    ( spl0_52
  <=> nil = app(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1148,plain,
    ( spl0_127
  <=> ! [X3] :
        ( nil != app(X3,app(sk3,sk4))
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1119,plain,
    ( ! [X3] :
        ( nil != app(X3,app(sk3,sk4))
        | nil = app(sk3,sk4)
        | ~ ssList(X3) )
    | ~ spl0_46 ),
    inference(resolution,[],[f529,f119]) ).

fof(f529,plain,
    ( ssList(app(sk3,sk4))
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f1146,plain,
    ( spl0_126
    | ~ spl0_13
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1126,f527,f295,f1143]) ).

fof(f1143,plain,
    ( spl0_126
  <=> ssList(app(sk5,app(sk3,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1126,plain,
    ( ssList(app(sk5,app(sk3,sk4)))
    | ~ spl0_13
    | ~ spl0_46 ),
    inference(resolution,[],[f529,f440]) ).

fof(f1141,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1120,f527,f1138,f1134]) ).

fof(f1134,plain,
    ( spl0_124
  <=> app(sk3,sk4) = app(skaf80(app(sk3,sk4)),cons(skaf78(app(sk3,sk4)),cons(skaf79(app(sk3,sk4)),skaf81(app(sk3,sk4))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1138,plain,
    ( spl0_125
  <=> equalelemsP(app(sk3,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1120,plain,
    ( equalelemsP(app(sk3,sk4))
    | app(sk3,sk4) = app(skaf80(app(sk3,sk4)),cons(skaf78(app(sk3,sk4)),cons(skaf79(app(sk3,sk4)),skaf81(app(sk3,sk4)))))
    | ~ spl0_46 ),
    inference(resolution,[],[f529,f142]) ).

fof(f1132,plain,
    ( spl0_123
    | ~ spl0_16
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1127,f527,f310,f1129]) ).

fof(f1129,plain,
    ( spl0_123
  <=> ssList(app(sk4,app(sk3,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1127,plain,
    ( ssList(app(sk4,app(sk3,sk4)))
    | ~ spl0_16
    | ~ spl0_46 ),
    inference(resolution,[],[f529,f509]) ).

fof(f1112,plain,
    ( spl0_122
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1088,f453,f295,f1109]) ).

fof(f1109,plain,
    ( spl0_122
  <=> ssList(app(sk5,app(sk3,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1088,plain,
    ( ssList(app(sk5,app(sk3,sk3)))
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(resolution,[],[f455,f440]) ).

fof(f455,plain,
    ( ssList(app(sk3,sk3))
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f1107,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1082,f453,f1104,f1100]) ).

fof(f1100,plain,
    ( spl0_120
  <=> equalelemsP(app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1104,plain,
    ( spl0_121
  <=> app(sk3,sk3) = app(skaf80(app(sk3,sk3)),cons(skaf78(app(sk3,sk3)),cons(skaf79(app(sk3,sk3)),skaf81(app(sk3,sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1082,plain,
    ( app(sk3,sk3) = app(skaf80(app(sk3,sk3)),cons(skaf78(app(sk3,sk3)),cons(skaf79(app(sk3,sk3)),skaf81(app(sk3,sk3)))))
    | equalelemsP(app(sk3,sk3))
    | ~ spl0_37 ),
    inference(resolution,[],[f455,f142]) ).

fof(f1098,plain,
    ( spl0_50
    | spl0_119
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1081,f453,f1096,f553]) ).

fof(f553,plain,
    ( spl0_50
  <=> nil = app(sk3,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1096,plain,
    ( spl0_119
  <=> ! [X3] :
        ( nil != app(X3,app(sk3,sk3))
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1081,plain,
    ( ! [X3] :
        ( nil != app(X3,app(sk3,sk3))
        | ~ ssList(X3)
        | nil = app(sk3,sk3) )
    | ~ spl0_37 ),
    inference(resolution,[],[f455,f119]) ).

fof(f1094,plain,
    ( spl0_118
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1089,f453,f310,f1091]) ).

fof(f1091,plain,
    ( spl0_118
  <=> ssList(app(sk4,app(sk3,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1089,plain,
    ( ssList(app(sk4,app(sk3,sk3)))
    | ~ spl0_16
    | ~ spl0_37 ),
    inference(resolution,[],[f455,f509]) ).

fof(f1075,plain,
    ( ~ spl0_12
    | ~ spl0_40
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1072,f741,f471,f290]) ).

fof(f471,plain,
    ( spl0_40
  <=> ! [X2] :
        ( ~ ssList(X2)
        | nil != app(sk5,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f741,plain,
    ( spl0_73
  <=> nil = app(sk5,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1072,plain,
    ( ~ ssList(sk3)
    | ~ spl0_40
    | ~ spl0_73 ),
    inference(trivial_inequality_removal,[],[f1071]) ).

fof(f1071,plain,
    ( ~ ssList(sk3)
    | nil != nil
    | ~ spl0_40
    | ~ spl0_73 ),
    inference(superposition,[],[f472,f743]) ).

fof(f743,plain,
    ( nil = app(sk5,sk3)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f472,plain,
    ( ! [X2] :
        ( nil != app(sk5,X2)
        | ~ ssList(X2) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f1074,plain,
    ( ~ spl0_16
    | ~ spl0_40
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1073,f691,f471,f310]) ).

fof(f691,plain,
    ( spl0_67
  <=> nil = app(sk5,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1073,plain,
    ( ~ ssList(sk4)
    | ~ spl0_40
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f1070]) ).

fof(f1070,plain,
    ( ~ ssList(sk4)
    | nil != nil
    | ~ spl0_40
    | ~ spl0_67 ),
    inference(superposition,[],[f472,f693]) ).

fof(f693,plain,
    ( nil = app(sk5,sk4)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f1068,plain,
    ( ~ spl0_12
    | ~ spl0_38
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1065,f553,f463,f290]) ).

fof(f463,plain,
    ( spl0_38
  <=> ! [X1] :
        ( nil != app(sk3,X1)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1065,plain,
    ( ~ ssList(sk3)
    | ~ spl0_38
    | ~ spl0_50 ),
    inference(trivial_inequality_removal,[],[f1062]) ).

fof(f1062,plain,
    ( ~ ssList(sk3)
    | nil != nil
    | ~ spl0_38
    | ~ spl0_50 ),
    inference(superposition,[],[f464,f555]) ).

fof(f555,plain,
    ( nil = app(sk3,sk3)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f464,plain,
    ( ! [X1] :
        ( nil != app(sk3,X1)
        | ~ ssList(X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f1067,plain,
    ( ~ spl0_16
    | ~ spl0_38
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1066,f576,f463,f310]) ).

fof(f1066,plain,
    ( ~ ssList(sk4)
    | ~ spl0_38
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f1063]) ).

fof(f1063,plain,
    ( ~ ssList(sk4)
    | nil != nil
    | ~ spl0_38
    | ~ spl0_52 ),
    inference(superposition,[],[f464,f578]) ).

fof(f578,plain,
    ( nil = app(sk3,sk4)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f1060,plain,
    ( spl0_115
    | spl0_117
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1005,f932,f1058,f1050]) ).

fof(f1050,plain,
    ( spl0_115
  <=> nil = app(sk4,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1058,plain,
    ( spl0_117
  <=> ! [X2] :
        ( ~ ssList(X2)
        | nil != app(app(sk4,sk4),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1005,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | nil != app(app(sk4,sk4),X2)
        | nil = app(sk4,sk4) )
    | ~ spl0_96 ),
    inference(resolution,[],[f934,f118]) ).

fof(f934,plain,
    ( ssList(app(sk4,sk4))
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f1056,plain,
    ( spl0_115
    | spl0_116
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1006,f932,f1054,f1050]) ).

fof(f1054,plain,
    ( spl0_116
  <=> ! [X3] :
        ( ~ ssList(X3)
        | nil != app(X3,app(sk4,sk4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1006,plain,
    ( ! [X3] :
        ( ~ ssList(X3)
        | nil != app(X3,app(sk4,sk4))
        | nil = app(sk4,sk4) )
    | ~ spl0_96 ),
    inference(resolution,[],[f934,f119]) ).

fof(f1048,plain,
    ( spl0_114
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1002,f932,f1045]) ).

fof(f1045,plain,
    ( spl0_114
  <=> app(nil,app(sk4,sk4)) = app(sk4,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1002,plain,
    ( app(nil,app(sk4,sk4)) = app(sk4,sk4)
    | ~ spl0_96 ),
    inference(resolution,[],[f934,f74]) ).

fof(f1043,plain,
    ( spl0_113
    | ~ spl0_12
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1012,f932,f290,f1040]) ).

fof(f1040,plain,
    ( spl0_113
  <=> ssList(app(sk3,app(sk4,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1012,plain,
    ( ssList(app(sk3,app(sk4,sk4)))
    | ~ spl0_12
    | ~ spl0_96 ),
    inference(resolution,[],[f934,f439]) ).

fof(f1038,plain,
    ( spl0_112
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1001,f932,f1035]) ).

fof(f1035,plain,
    ( spl0_112
  <=> app(app(sk4,sk4),nil) = app(sk4,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1001,plain,
    ( app(app(sk4,sk4),nil) = app(sk4,sk4)
    | ~ spl0_96 ),
    inference(resolution,[],[f934,f73]) ).

fof(f1033,plain,
    ( spl0_110
    | spl0_111
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1007,f932,f1030,f1026]) ).

fof(f1026,plain,
    ( spl0_110
  <=> equalelemsP(app(sk4,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1030,plain,
    ( spl0_111
  <=> app(skaf80(app(sk4,sk4)),cons(skaf78(app(sk4,sk4)),cons(skaf79(app(sk4,sk4)),skaf81(app(sk4,sk4))))) = app(sk4,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1007,plain,
    ( app(skaf80(app(sk4,sk4)),cons(skaf78(app(sk4,sk4)),cons(skaf79(app(sk4,sk4)),skaf81(app(sk4,sk4))))) = app(sk4,sk4)
    | equalelemsP(app(sk4,sk4))
    | ~ spl0_96 ),
    inference(resolution,[],[f934,f142]) ).

fof(f1024,plain,
    ( spl0_109
    | ~ spl0_16
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1014,f932,f310,f1021]) ).

fof(f1021,plain,
    ( spl0_109
  <=> ssList(app(sk4,app(sk4,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1014,plain,
    ( ssList(app(sk4,app(sk4,sk4)))
    | ~ spl0_16
    | ~ spl0_96 ),
    inference(resolution,[],[f934,f509]) ).

fof(f1019,plain,
    ( spl0_108
    | ~ spl0_13
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1013,f932,f295,f1016]) ).

fof(f1016,plain,
    ( spl0_108
  <=> ssList(app(sk5,app(sk4,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1013,plain,
    ( ssList(app(sk5,app(sk4,sk4)))
    | ~ spl0_13
    | ~ spl0_96 ),
    inference(resolution,[],[f934,f440]) ).

fof(f1000,plain,
    ( spl0_107
    | ~ spl0_16
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f954,f927,f310,f997]) ).

fof(f997,plain,
    ( spl0_107
  <=> ssList(app(sk4,app(sk4,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f954,plain,
    ( ssList(app(sk4,app(sk4,sk3)))
    | ~ spl0_16
    | ~ spl0_95 ),
    inference(resolution,[],[f929,f509]) ).

fof(f929,plain,
    ( ssList(app(sk4,sk3))
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f995,plain,
    ( spl0_105
    | spl0_106
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f947,f927,f992,f988]) ).

fof(f988,plain,
    ( spl0_105
  <=> equalelemsP(app(sk4,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f992,plain,
    ( spl0_106
  <=> app(skaf80(app(sk4,sk3)),cons(skaf78(app(sk4,sk3)),cons(skaf79(app(sk4,sk3)),skaf81(app(sk4,sk3))))) = app(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f947,plain,
    ( app(skaf80(app(sk4,sk3)),cons(skaf78(app(sk4,sk3)),cons(skaf79(app(sk4,sk3)),skaf81(app(sk4,sk3))))) = app(sk4,sk3)
    | equalelemsP(app(sk4,sk3))
    | ~ spl0_95 ),
    inference(resolution,[],[f929,f142]) ).

fof(f986,plain,
    ( spl0_103
    | spl0_104
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f946,f927,f984,f979]) ).

fof(f979,plain,
    ( spl0_103
  <=> nil = app(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f984,plain,
    ( spl0_104
  <=> ! [X3] :
        ( ~ ssList(X3)
        | nil != app(X3,app(sk4,sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f946,plain,
    ( ! [X3] :
        ( ~ ssList(X3)
        | nil != app(X3,app(sk4,sk3))
        | nil = app(sk4,sk3) )
    | ~ spl0_95 ),
    inference(resolution,[],[f929,f119]) ).

fof(f982,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f945,f927,f979,f976]) ).

fof(f976,plain,
    ( spl0_102
  <=> ! [X2] :
        ( ~ ssList(X2)
        | nil != app(app(sk4,sk3),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f945,plain,
    ( ! [X2] :
        ( nil = app(sk4,sk3)
        | ~ ssList(X2)
        | nil != app(app(sk4,sk3),X2) )
    | ~ spl0_95 ),
    inference(resolution,[],[f929,f118]) ).

fof(f974,plain,
    ( spl0_101
    | ~ spl0_13
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f953,f927,f295,f971]) ).

fof(f971,plain,
    ( spl0_101
  <=> ssList(app(sk5,app(sk4,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f953,plain,
    ( ssList(app(sk5,app(sk4,sk3)))
    | ~ spl0_13
    | ~ spl0_95 ),
    inference(resolution,[],[f929,f440]) ).

fof(f969,plain,
    ( spl0_100
    | ~ spl0_12
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f952,f927,f290,f966]) ).

fof(f966,plain,
    ( spl0_100
  <=> ssList(app(sk3,app(sk4,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f952,plain,
    ( ssList(app(sk3,app(sk4,sk3)))
    | ~ spl0_12
    | ~ spl0_95 ),
    inference(resolution,[],[f929,f439]) ).

fof(f964,plain,
    ( spl0_99
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f941,f927,f961]) ).

fof(f961,plain,
    ( spl0_99
  <=> app(sk4,sk3) = app(app(sk4,sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f941,plain,
    ( app(sk4,sk3) = app(app(sk4,sk3),nil)
    | ~ spl0_95 ),
    inference(resolution,[],[f929,f73]) ).

fof(f959,plain,
    ( spl0_98
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f942,f927,f956]) ).

fof(f956,plain,
    ( spl0_98
  <=> app(nil,app(sk4,sk3)) = app(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f942,plain,
    ( app(nil,app(sk4,sk3)) = app(sk4,sk3)
    | ~ spl0_95 ),
    inference(resolution,[],[f929,f74]) ).

fof(f940,plain,
    ( spl0_97
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f924,f310,f295,f937]) ).

fof(f924,plain,
    ( ssList(app(sk4,sk5))
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(resolution,[],[f509,f297]) ).

fof(f935,plain,
    ( spl0_96
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f923,f310,f932]) ).

fof(f923,plain,
    ( ssList(app(sk4,sk4))
    | ~ spl0_16 ),
    inference(resolution,[],[f509,f312]) ).

fof(f930,plain,
    ( spl0_95
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f922,f310,f290,f927]) ).

fof(f922,plain,
    ( ssList(app(sk4,sk3))
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(resolution,[],[f509,f292]) ).

fof(f910,plain,
    ( ~ spl0_94
    | ~ spl0_87
    | spl0_89 ),
    inference(avatar_split_clause,[],[f905,f869,f861,f907]) ).

fof(f907,plain,
    ( spl0_94
  <=> nil = app(skaf80(nil),cons(skaf78(nil),cons(skaf79(nil),skaf81(nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f869,plain,
    ( spl0_89
  <=> app(skaf80(app(sk5,sk5)),cons(skaf78(app(sk5,sk5)),cons(skaf79(app(sk5,sk5)),skaf81(app(sk5,sk5))))) = app(sk5,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f905,plain,
    ( nil != app(skaf80(nil),cons(skaf78(nil),cons(skaf79(nil),skaf81(nil))))
    | ~ spl0_87
    | spl0_89 ),
    inference(forward_demodulation,[],[f870,f863]) ).

fof(f870,plain,
    ( app(skaf80(app(sk5,sk5)),cons(skaf78(app(sk5,sk5)),cons(skaf79(app(sk5,sk5)),skaf81(app(sk5,sk5))))) != app(sk5,sk5)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f890,plain,
    ( spl0_93
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f839,f668,f887]) ).

fof(f887,plain,
    ( spl0_93
  <=> app(nil,app(sk5,sk5)) = app(sk5,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f839,plain,
    ( app(nil,app(sk5,sk5)) = app(sk5,sk5)
    | ~ spl0_64 ),
    inference(resolution,[],[f670,f74]) ).

fof(f885,plain,
    ( spl0_87
    | spl0_92
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f843,f668,f883,f861]) ).

fof(f883,plain,
    ( spl0_92
  <=> ! [X3] :
        ( nil != app(X3,app(sk5,sk5))
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f843,plain,
    ( ! [X3] :
        ( nil != app(X3,app(sk5,sk5))
        | ~ ssList(X3)
        | nil = app(sk5,sk5) )
    | ~ spl0_64 ),
    inference(resolution,[],[f670,f119]) ).

fof(f881,plain,
    ( spl0_91
    | ~ spl0_12
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f848,f668,f290,f878]) ).

fof(f878,plain,
    ( spl0_91
  <=> ssList(app(sk3,app(sk5,sk5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f848,plain,
    ( ssList(app(sk3,app(sk5,sk5)))
    | ~ spl0_12
    | ~ spl0_64 ),
    inference(resolution,[],[f670,f439]) ).

fof(f876,plain,
    ( spl0_89
    | spl0_90
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f844,f668,f873,f869]) ).

fof(f873,plain,
    ( spl0_90
  <=> equalelemsP(app(sk5,sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f844,plain,
    ( equalelemsP(app(sk5,sk5))
    | app(skaf80(app(sk5,sk5)),cons(skaf78(app(sk5,sk5)),cons(skaf79(app(sk5,sk5)),skaf81(app(sk5,sk5))))) = app(sk5,sk5)
    | ~ spl0_64 ),
    inference(resolution,[],[f670,f142]) ).

fof(f867,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f842,f668,f865,f861]) ).

fof(f865,plain,
    ( spl0_88
  <=> ! [X2] :
        ( ~ ssList(X2)
        | nil != app(app(sk5,sk5),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f842,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | nil != app(app(sk5,sk5),X2)
        | nil = app(sk5,sk5) )
    | ~ spl0_64 ),
    inference(resolution,[],[f670,f118]) ).

fof(f859,plain,
    ( spl0_86
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f838,f668,f856]) ).

fof(f856,plain,
    ( spl0_86
  <=> app(app(sk5,sk5),nil) = app(sk5,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f838,plain,
    ( app(app(sk5,sk5),nil) = app(sk5,sk5)
    | ~ spl0_64 ),
    inference(resolution,[],[f670,f73]) ).

fof(f854,plain,
    ( spl0_85
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f849,f668,f295,f851]) ).

fof(f851,plain,
    ( spl0_85
  <=> ssList(app(sk5,app(sk5,sk5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f849,plain,
    ( ssList(app(sk5,app(sk5,sk5)))
    | ~ spl0_13
    | ~ spl0_64 ),
    inference(resolution,[],[f670,f440]) ).

fof(f836,plain,
    ( ~ spl0_2
    | spl0_84
    | ~ spl0_12
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f832,f395,f290,f834,f243]) ).

fof(f834,plain,
    ( spl0_84
  <=> ! [X6,X7] :
        ( ~ ssList(X6)
        | segmentP(app(X6,app(sk3,X7)),nil)
        | ~ ssList(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f395,plain,
    ( spl0_31
  <=> segmentP(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f832,plain,
    ( ! [X6,X7] :
        ( ~ ssList(sk3)
        | ~ ssList(X6)
        | ~ ssList(X7)
        | ~ ssList(nil)
        | segmentP(app(X6,app(sk3,X7)),nil) )
    | ~ spl0_31 ),
    inference(forward_subsumption_demodulation,[],[f824,f149]) ).

fof(f824,plain,
    ( ! [X6,X7] :
        ( segmentP(app(app(X6,sk3),X7),nil)
        | ~ ssList(sk3)
        | ~ ssList(nil)
        | ~ ssList(X7)
        | ~ ssList(X6) )
    | ~ spl0_31 ),
    inference(resolution,[],[f172,f396]) ).

fof(f396,plain,
    ( segmentP(sk3,nil)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f831,plain,
    ( spl0_83
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f827,f243,f829]) ).

fof(f827,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(nil)
      | ~ ssList(X1)
      | segmentP(app(X0,app(X1,X2)),nil)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(forward_subsumption_demodulation,[],[f826,f149]) ).

fof(f826,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | segmentP(app(app(X0,X1),X2),nil)
      | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f822]) ).

fof(f822,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | segmentP(app(app(X0,X1),X2),nil)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(nil) ),
    inference(resolution,[],[f172,f56]) ).

fof(f810,plain,
    ( spl0_81
    | spl0_82
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f792,f295,f807,f803]) ).

fof(f807,plain,
    ( spl0_82
  <=> equalelemsP(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f792,plain,
    ( equalelemsP(sk5)
    | sk5 = app(skaf80(sk5),cons(skaf78(sk5),cons(skaf79(sk5),skaf81(sk5))))
    | ~ spl0_13 ),
    inference(resolution,[],[f142,f297]) ).

fof(f801,plain,
    ( spl0_79
    | spl0_80
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f791,f310,f798,f794]) ).

fof(f794,plain,
    ( spl0_79
  <=> sk4 = app(skaf80(sk4),cons(skaf78(sk4),cons(skaf79(sk4),skaf81(sk4)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f798,plain,
    ( spl0_80
  <=> equalelemsP(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f791,plain,
    ( equalelemsP(sk4)
    | sk4 = app(skaf80(sk4),cons(skaf78(sk4),cons(skaf79(sk4),skaf81(sk4))))
    | ~ spl0_16 ),
    inference(resolution,[],[f142,f312]) ).

fof(f768,plain,
    ( spl0_78
    | ~ spl0_12
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f735,f663,f290,f765]) ).

fof(f765,plain,
    ( spl0_78
  <=> ssList(app(sk3,app(sk5,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f735,plain,
    ( ssList(app(sk3,app(sk5,sk3)))
    | ~ spl0_12
    | ~ spl0_63 ),
    inference(resolution,[],[f665,f439]) ).

fof(f763,plain,
    ( spl0_77
    | ~ spl0_13
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f736,f663,f295,f760]) ).

fof(f760,plain,
    ( spl0_77
  <=> ssList(app(sk5,app(sk5,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f736,plain,
    ( ssList(app(sk5,app(sk5,sk3)))
    | ~ spl0_13
    | ~ spl0_63 ),
    inference(resolution,[],[f665,f440]) ).

fof(f758,plain,
    ( spl0_76
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f728,f663,f755]) ).

fof(f755,plain,
    ( spl0_76
  <=> app(app(sk5,sk3),nil) = app(sk5,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f728,plain,
    ( app(app(sk5,sk3),nil) = app(sk5,sk3)
    | ~ spl0_63 ),
    inference(resolution,[],[f665,f73]) ).

fof(f753,plain,
    ( spl0_73
    | spl0_75
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f733,f663,f751,f741]) ).

fof(f751,plain,
    ( spl0_75
  <=> ! [X3] :
        ( nil != app(X3,app(sk5,sk3))
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f733,plain,
    ( ! [X3] :
        ( nil != app(X3,app(sk5,sk3))
        | ~ ssList(X3)
        | nil = app(sk5,sk3) )
    | ~ spl0_63 ),
    inference(resolution,[],[f665,f119]) ).

fof(f749,plain,
    ( spl0_74
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f729,f663,f746]) ).

fof(f746,plain,
    ( spl0_74
  <=> app(sk5,sk3) = app(nil,app(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f729,plain,
    ( app(sk5,sk3) = app(nil,app(sk5,sk3))
    | ~ spl0_63 ),
    inference(resolution,[],[f665,f74]) ).

fof(f744,plain,
    ( spl0_72
    | spl0_73
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f732,f663,f741,f738]) ).

fof(f738,plain,
    ( spl0_72
  <=> ! [X2] :
        ( ~ ssList(X2)
        | nil != app(app(sk5,sk3),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f732,plain,
    ( ! [X2] :
        ( nil = app(sk5,sk3)
        | ~ ssList(X2)
        | nil != app(app(sk5,sk3),X2) )
    | ~ spl0_63 ),
    inference(resolution,[],[f665,f118]) ).

fof(f713,plain,
    ( spl0_71
    | ~ spl0_13
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f681,f658,f295,f710]) ).

fof(f710,plain,
    ( spl0_71
  <=> ssList(app(sk5,app(sk5,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f681,plain,
    ( ssList(app(sk5,app(sk5,sk4)))
    | ~ spl0_13
    | ~ spl0_62 ),
    inference(resolution,[],[f660,f440]) ).

fof(f708,plain,
    ( spl0_67
    | spl0_70
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f677,f658,f706,f691]) ).

fof(f706,plain,
    ( spl0_70
  <=> ! [X2] :
        ( nil != app(app(sk5,sk4),X2)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f677,plain,
    ( ! [X2] :
        ( nil != app(app(sk5,sk4),X2)
        | nil = app(sk5,sk4)
        | ~ ssList(X2) )
    | ~ spl0_62 ),
    inference(resolution,[],[f660,f118]) ).

fof(f704,plain,
    ( spl0_69
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f673,f658,f701]) ).

fof(f701,plain,
    ( spl0_69
  <=> app(sk5,sk4) = app(app(sk5,sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f673,plain,
    ( app(sk5,sk4) = app(app(sk5,sk4),nil)
    | ~ spl0_62 ),
    inference(resolution,[],[f660,f73]) ).

fof(f699,plain,
    ( spl0_68
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f674,f658,f696]) ).

fof(f696,plain,
    ( spl0_68
  <=> app(nil,app(sk5,sk4)) = app(sk5,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f674,plain,
    ( app(nil,app(sk5,sk4)) = app(sk5,sk4)
    | ~ spl0_62 ),
    inference(resolution,[],[f660,f74]) ).

fof(f694,plain,
    ( spl0_66
    | spl0_67
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f678,f658,f691,f688]) ).

fof(f688,plain,
    ( spl0_66
  <=> ! [X3] :
        ( nil != app(X3,app(sk5,sk4))
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f678,plain,
    ( ! [X3] :
        ( nil = app(sk5,sk4)
        | nil != app(X3,app(sk5,sk4))
        | ~ ssList(X3) )
    | ~ spl0_62 ),
    inference(resolution,[],[f660,f119]) ).

fof(f686,plain,
    ( spl0_65
    | ~ spl0_12
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f680,f658,f290,f683]) ).

fof(f683,plain,
    ( spl0_65
  <=> ssList(app(sk3,app(sk5,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f680,plain,
    ( ssList(app(sk3,app(sk5,sk4)))
    | ~ spl0_12
    | ~ spl0_62 ),
    inference(resolution,[],[f660,f439]) ).

fof(f671,plain,
    ( spl0_64
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f656,f295,f668]) ).

fof(f656,plain,
    ( ssList(app(sk5,sk5))
    | ~ spl0_13 ),
    inference(resolution,[],[f440,f297]) ).

fof(f666,plain,
    ( spl0_63
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f654,f295,f290,f663]) ).

fof(f654,plain,
    ( ssList(app(sk5,sk3))
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(resolution,[],[f440,f292]) ).

fof(f661,plain,
    ( spl0_62
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f655,f310,f295,f658]) ).

fof(f655,plain,
    ( ssList(app(sk5,sk4))
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(resolution,[],[f440,f312]) ).

fof(f647,plain,
    ( ~ spl0_12
    | spl0_61
    | ~ spl0_2
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f637,f395,f243,f645,f290]) ).

fof(f645,plain,
    ( spl0_61
  <=> ! [X4] :
        ( segmentP(sk3,X4)
        | ~ ssList(X4)
        | ~ segmentP(nil,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f637,plain,
    ( ! [X4] :
        ( ~ ssList(nil)
        | segmentP(sk3,X4)
        | ~ segmentP(nil,X4)
        | ~ ssList(X4)
        | ~ ssList(sk3) )
    | ~ spl0_31 ),
    inference(resolution,[],[f152,f396]) ).

fof(f643,plain,
    ( ~ spl0_2
    | spl0_60 ),
    inference(avatar_split_clause,[],[f638,f641,f243]) ).

fof(f638,plain,
    ! [X0,X1] :
      ( ~ segmentP(nil,X1)
      | segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f635]) ).

fof(f635,plain,
    ! [X0,X1] :
      ( ~ segmentP(nil,X1)
      | segmentP(X0,X1)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f152,f56]) ).

fof(f627,plain,
    ( spl0_59
    | spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f613,f290,f261,f625]) ).

fof(f625,plain,
    ( spl0_59
  <=> ! [X1] :
        ( nil != app(X1,sk3)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f613,plain,
    ( ! [X1] :
        ( nil = sk3
        | nil != app(X1,sk3)
        | ~ ssList(X1) )
    | ~ spl0_12 ),
    inference(resolution,[],[f119,f292]) ).

fof(f623,plain,
    ( spl0_39
    | spl0_58
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f615,f295,f621,f467]) ).

fof(f621,plain,
    ( spl0_58
  <=> ! [X3] :
        ( nil != app(X3,sk5)
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f615,plain,
    ( ! [X3] :
        ( nil != app(X3,sk5)
        | nil = sk5
        | ~ ssList(X3) )
    | ~ spl0_13 ),
    inference(resolution,[],[f119,f297]) ).

fof(f619,plain,
    ( spl0_8
    | spl0_57
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f614,f310,f617,f271]) ).

fof(f617,plain,
    ( spl0_57
  <=> ! [X2] :
        ( nil != app(X2,sk4)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f614,plain,
    ( ! [X2] :
        ( nil != app(X2,sk4)
        | ~ ssList(X2)
        | nil = sk4 )
    | ~ spl0_16 ),
    inference(resolution,[],[f119,f312]) ).

fof(f597,plain,
    ( spl0_56
    | ~ spl0_12
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f570,f527,f290,f594]) ).

fof(f594,plain,
    ( spl0_56
  <=> ssList(app(sk3,app(sk3,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f570,plain,
    ( ssList(app(sk3,app(sk3,sk4)))
    | ~ spl0_12
    | ~ spl0_46 ),
    inference(resolution,[],[f529,f439]) ).

fof(f592,plain,
    ( spl0_55
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f574,f527,f589]) ).

fof(f589,plain,
    ( spl0_55
  <=> app(sk3,sk4) = app(app(sk3,sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f574,plain,
    ( app(sk3,sk4) = app(app(sk3,sk4),nil)
    | ~ spl0_46 ),
    inference(resolution,[],[f529,f73]) ).

fof(f587,plain,
    ( spl0_54
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f573,f527,f584]) ).

fof(f584,plain,
    ( spl0_54
  <=> app(nil,app(sk3,sk4)) = app(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f573,plain,
    ( app(nil,app(sk3,sk4)) = app(sk3,sk4)
    | ~ spl0_46 ),
    inference(resolution,[],[f529,f74]) ).

fof(f582,plain,
    ( spl0_52
    | spl0_53
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f569,f527,f580,f576]) ).

fof(f580,plain,
    ( spl0_53
  <=> ! [X0] :
        ( nil != app(app(sk3,sk4),X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f569,plain,
    ( ! [X0] :
        ( nil != app(app(sk3,sk4),X0)
        | nil = app(sk3,sk4)
        | ~ ssList(X0) )
    | ~ spl0_46 ),
    inference(resolution,[],[f529,f118]) ).

fof(f559,plain,
    ( spl0_50
    | spl0_51
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f531,f453,f557,f553]) ).

fof(f557,plain,
    ( spl0_51
  <=> ! [X0] :
        ( ~ ssList(X0)
        | nil != app(app(sk3,sk3),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f531,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | nil != app(app(sk3,sk3),X0)
        | nil = app(sk3,sk3) )
    | ~ spl0_37 ),
    inference(resolution,[],[f455,f118]) ).

fof(f551,plain,
    ( spl0_49
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f536,f453,f548]) ).

fof(f548,plain,
    ( spl0_49
  <=> app(sk3,sk3) = app(app(sk3,sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f536,plain,
    ( app(sk3,sk3) = app(app(sk3,sk3),nil)
    | ~ spl0_37 ),
    inference(resolution,[],[f455,f73]) ).

fof(f546,plain,
    ( spl0_48
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f535,f453,f543]) ).

fof(f543,plain,
    ( spl0_48
  <=> app(nil,app(sk3,sk3)) = app(sk3,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f535,plain,
    ( app(nil,app(sk3,sk3)) = app(sk3,sk3)
    | ~ spl0_37 ),
    inference(resolution,[],[f455,f74]) ).

fof(f541,plain,
    ( spl0_47
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f532,f453,f290,f538]) ).

fof(f538,plain,
    ( spl0_47
  <=> ssList(app(sk3,app(sk3,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f532,plain,
    ( ssList(app(sk3,app(sk3,sk3)))
    | ~ spl0_12
    | ~ spl0_37 ),
    inference(resolution,[],[f455,f439]) ).

fof(f530,plain,
    ( spl0_46
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f507,f310,f290,f527]) ).

fof(f507,plain,
    ( ssList(app(sk3,sk4))
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(resolution,[],[f312,f439]) ).

fof(f525,plain,
    ( spl0_45
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f511,f310,f522]) ).

fof(f511,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl0_16 ),
    inference(resolution,[],[f312,f73]) ).

fof(f520,plain,
    ( spl0_44
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f510,f310,f517]) ).

fof(f510,plain,
    ( sk4 = app(nil,sk4)
    | ~ spl0_16 ),
    inference(resolution,[],[f312,f74]) ).

fof(f515,plain,
    ( spl0_8
    | spl0_43
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f506,f310,f513,f271]) ).

fof(f513,plain,
    ( spl0_43
  <=> ! [X0] :
        ( nil != app(sk4,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f506,plain,
    ( ! [X0] :
        ( nil != app(sk4,X0)
        | nil = sk4
        | ~ ssList(X0) )
    | ~ spl0_16 ),
    inference(resolution,[],[f312,f118]) ).

fof(f497,plain,
    ( spl0_42
    | ~ spl0_27
    | ~ spl0_32
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f492,f467,f407,f368,f494]) ).

fof(f494,plain,
    ( spl0_42
  <=> sk3 = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f492,plain,
    ( sk3 = sk4
    | ~ spl0_27
    | ~ spl0_32
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f480,f409]) ).

fof(f480,plain,
    ( sk4 = app(sk3,nil)
    | ~ spl0_27
    | ~ spl0_39 ),
    inference(backward_demodulation,[],[f370,f469]) ).

fof(f469,plain,
    ( nil = sk5
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f491,plain,
    ( ~ spl0_41
    | spl0_29
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f481,f467,f383,f488]) ).

fof(f488,plain,
    ( spl0_41
  <=> nil = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f383,plain,
    ( spl0_29
  <=> nil = app(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f481,plain,
    ( nil != app(sk3,nil)
    | spl0_29
    | ~ spl0_39 ),
    inference(backward_demodulation,[],[f384,f469]) ).

fof(f384,plain,
    ( nil != app(sk3,sk5)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f477,plain,
    ( ~ spl0_5
    | ~ spl0_28
    | ~ spl0_16
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f474,f286,f310,f376,f257]) ).

fof(f257,plain,
    ( spl0_5
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f376,plain,
    ( spl0_28
  <=> segmentP(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f474,plain,
    ( ~ ssList(sk4)
    | ~ segmentP(sk3,sk4)
    | ~ neq(sk4,nil)
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f373]) ).

fof(f373,plain,
    ( ~ ssList(sk4)
    | ~ neq(sk4,nil)
    | ~ ssList(sk4)
    | ~ segmentP(sk3,sk4)
    | ~ spl0_11 ),
    inference(resolution,[],[f57,f287]) ).

fof(f476,plain,
    ( spl0_16
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f475,f368,f295,f290,f310]) ).

fof(f475,plain,
    ( ssList(sk4)
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_27 ),
    inference(forward_demodulation,[],[f449,f370]) ).

fof(f449,plain,
    ( ssList(app(sk3,sk5))
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(resolution,[],[f439,f297]) ).

fof(f473,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f461,f295,f471,f467]) ).

fof(f461,plain,
    ( ! [X2] :
        ( ~ ssList(X2)
        | nil = sk5
        | nil != app(sk5,X2) )
    | ~ spl0_13 ),
    inference(resolution,[],[f118,f297]) ).

fof(f465,plain,
    ( spl0_38
    | spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f460,f290,f261,f463]) ).

fof(f460,plain,
    ( ! [X1] :
        ( nil = sk3
        | nil != app(sk3,X1)
        | ~ ssList(X1) )
    | ~ spl0_12 ),
    inference(resolution,[],[f118,f292]) ).

fof(f456,plain,
    ( spl0_37
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f448,f290,f453]) ).

fof(f448,plain,
    ( ssList(app(sk3,sk3))
    | ~ spl0_12 ),
    inference(resolution,[],[f439,f292]) ).

fof(f433,plain,
    ( spl0_36
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f423,f295,f430]) ).

fof(f423,plain,
    ( sk5 = app(nil,sk5)
    | ~ spl0_13 ),
    inference(resolution,[],[f74,f297]) ).

fof(f428,plain,
    ( spl0_35
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f422,f290,f425]) ).

fof(f422,plain,
    ( sk3 = app(nil,sk3)
    | ~ spl0_12 ),
    inference(resolution,[],[f74,f292]) ).

fof(f420,plain,
    ( spl0_34
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f405,f295,f417]) ).

fof(f405,plain,
    ( sk5 = app(sk5,nil)
    | ~ spl0_13 ),
    inference(resolution,[],[f73,f297]) ).

fof(f415,plain,
    ( spl0_33
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f403,f243,f412]) ).

fof(f412,plain,
    ( spl0_33
  <=> nil = app(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f403,plain,
    ( nil = app(nil,nil)
    | ~ spl0_2 ),
    inference(resolution,[],[f73,f244]) ).

fof(f244,plain,
    ( ssList(nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f410,plain,
    ( spl0_32
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f404,f290,f407]) ).

fof(f404,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl0_12 ),
    inference(resolution,[],[f73,f292]) ).

fof(f402,plain,
    ( spl0_31
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f401,f376,f271,f395]) ).

fof(f401,plain,
    ( segmentP(sk3,nil)
    | ~ spl0_8
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f377,f273]) ).

fof(f273,plain,
    ( nil = sk4
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f377,plain,
    ( segmentP(sk3,sk4)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f400,plain,
    ( ~ spl0_12
    | spl0_31 ),
    inference(avatar_split_clause,[],[f399,f395,f290]) ).

fof(f399,plain,
    ( ~ ssList(sk3)
    | spl0_31 ),
    inference(resolution,[],[f397,f56]) ).

fof(f397,plain,
    ( ~ segmentP(sk3,nil)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f398,plain,
    ( ~ spl0_31
    | ~ spl0_8
    | spl0_28 ),
    inference(avatar_split_clause,[],[f393,f376,f271,f395]) ).

fof(f393,plain,
    ( ~ segmentP(sk3,nil)
    | ~ spl0_8
    | spl0_28 ),
    inference(forward_demodulation,[],[f378,f273]) ).

fof(f378,plain,
    ( ~ segmentP(sk3,sk4)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f392,plain,
    ( ~ spl0_30
    | spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f387,f271,f257,f389]) ).

fof(f389,plain,
    ( spl0_30
  <=> neq(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f387,plain,
    ( ~ neq(nil,nil)
    | spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f258,f273]) ).

fof(f258,plain,
    ( ~ neq(sk4,nil)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f386,plain,
    ( spl0_29
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f380,f368,f271,f383]) ).

fof(f380,plain,
    ( nil = app(sk3,sk5)
    | ~ spl0_8
    | ~ spl0_27 ),
    inference(backward_demodulation,[],[f370,f273]) ).

fof(f379,plain,
    ( ~ spl0_16
    | ~ spl0_5
    | ~ spl0_28
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f374,f286,f376,f257,f310]) ).

fof(f374,plain,
    ( ~ segmentP(sk3,sk4)
    | ~ neq(sk4,nil)
    | ~ ssList(sk4)
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f373]) ).

fof(f371,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f193,f368]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f366,plain,
    ( spl0_11
    | spl0_8 ),
    inference(avatar_split_clause,[],[f202,f271,f286]) ).

fof(f202,plain,
    ! [X6] :
      ( nil = sk4
      | ~ segmentP(sk4,X6)
      | ~ segmentP(sk3,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f198,f191,f190,f190]) ).

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

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

fof(f198,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | nil = sk2
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f365,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f67,f305]) ).

fof(f305,plain,
    ( spl0_15
  <=> ! [X1] :
        ( totalorderedP(cons(X1,nil))
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f67,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | totalorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f364,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f9,f361]) ).

fof(f361,plain,
    ( spl0_26
  <=> ssItem(skac3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

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

fof(f359,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f206,f257,f271]) ).

fof(f206,plain,
    ( neq(sk4,nil)
    | nil = sk4 ),
    inference(definition_unfolding,[],[f197,f190,f190]) ).

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

fof(f357,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f2,f354]) ).

fof(f354,plain,
    ( spl0_25
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

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

fof(f352,plain,
    ~ spl0_24,
    inference(avatar_split_clause,[],[f54,f349]) ).

fof(f349,plain,
    ( spl0_24
  <=> skac3 = skac2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

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

fof(f347,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f7,f344]) ).

fof(f344,plain,
    ( spl0_23
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

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

fof(f342,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f66,f334]) ).

fof(f334,plain,
    ( spl0_21
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | strictorderedP(cons(X1,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f66,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

fof(f341,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f5,f338]) ).

fof(f338,plain,
    ( spl0_22
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

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

fof(f336,plain,
    ( ~ spl0_2
    | spl0_21 ),
    inference(avatar_split_clause,[],[f211,f334,f243]) ).

fof(f211,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | strictorderedP(cons(X1,nil))
      | ~ ssList(nil) ),
    inference(equality_resolution,[],[f112]) ).

fof(f112,axiom,
    ! [X0,X1] :
      ( strictorderedP(cons(X1,X0))
      | nil != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f332,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f3,f329]) ).

fof(f329,plain,
    ( spl0_20
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

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

fof(f327,plain,
    ( spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f72,f325,f322]) ).

fof(f322,plain,
    ( spl0_18
  <=> ! [X0] :
        ( duplicatefreeP(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f325,plain,
    ( spl0_19
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

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

fof(f320,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f10,f317]) ).

fof(f317,plain,
    ( spl0_17
  <=> ssItem(skac2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

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

fof(f315,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f203,f310]) ).

fof(f203,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f314,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f8,f243]) ).

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

fof(f313,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f189,f310]) ).

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

fof(f308,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f188,f290]) ).

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

fof(f307,plain,
    ( spl0_15
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f212,f243,f305]) ).

fof(f212,plain,
    ! [X1] :
      ( ~ ssList(nil)
      | totalorderedP(cons(X1,nil))
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f113]) ).

fof(f113,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | totalorderedP(cons(X1,X0))
      | nil != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f303,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f6,f300]) ).

fof(f300,plain,
    ( spl0_14
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

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

fof(f298,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f192,f295]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f293,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f204,f290]) ).

fof(f204,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

fof(f288,plain,
    ( ~ spl0_6
    | spl0_11 ),
    inference(avatar_split_clause,[],[f201,f286,f261]) ).

fof(f201,plain,
    ! [X6] :
      ( ~ segmentP(sk4,X6)
      | nil != sk3
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ segmentP(sk3,X6) ),
    inference(definition_unfolding,[],[f200,f191,f190,f191]) ).

fof(f200,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f284,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f4,f281]) ).

fof(f281,plain,
    ( spl0_10
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

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

fof(f279,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f1,f276]) ).

fof(f276,plain,
    ( spl0_9
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

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

fof(f274,plain,
    ( ~ spl0_6
    | spl0_8 ),
    inference(avatar_split_clause,[],[f196,f271,f261]) ).

fof(f196,axiom,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f269,plain,
    ( spl0_7
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f223,f243,f266]) ).

fof(f266,plain,
    ( spl0_7
  <=> frontsegP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f223,plain,
    ( ~ ssList(nil)
    | frontsegP(nil,nil) ),
    inference(equality_resolution,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( frontsegP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f264,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f205,f261,f257]) ).

fof(f205,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f199,f190,f191]) ).

fof(f199,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f255,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f194,f252]) ).

fof(f252,plain,
    ( spl0_4
  <=> equalelemsP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f194,axiom,
    equalelemsP(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f250,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f219,f247,f243]) ).

fof(f247,plain,
    ( spl0_3
  <=> rearsegP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f219,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(f241,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f11,f238]) ).

fof(f238,plain,
    ( spl0_1
  <=> singletonP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC065-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:27:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (11643)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (11636)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51  % (11627)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (11632)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (11626)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (11633)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (11621)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (11622)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (11625)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (11635)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53  % (11629)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (11631)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (11629)Instruction limit reached!
% 0.20/0.54  % (11629)------------------------------
% 0.20/0.54  % (11629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (11629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (11629)Termination reason: Unknown
% 0.20/0.54  % (11629)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (11629)Memory used [KB]: 1151
% 0.20/0.54  % (11629)Time elapsed: 0.003 s
% 0.20/0.54  % (11629)Instructions burned: 3 (million)
% 0.20/0.54  % (11629)------------------------------
% 0.20/0.54  % (11629)------------------------------
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (11644)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54  % (11651)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54  % (11649)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)
% 0.20/0.54  % (11634)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (11638)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (11648)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (11637)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (11628)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (11640)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)
% 0.20/0.55  % (11642)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (11641)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55  % (11624)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)
% 1.51/0.56  % (11645)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.51/0.56  TRYING [3]
% 1.51/0.57  % (11627)Instruction limit reached!
% 1.51/0.57  % (11627)------------------------------
% 1.51/0.57  % (11627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57  % (11627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57  % (11627)Termination reason: Unknown
% 1.51/0.57  % (11627)Termination phase: Finite model building constraint generation
% 1.51/0.57  
% 1.51/0.57  % (11627)Memory used [KB]: 7803
% 1.51/0.57  % (11627)Time elapsed: 0.109 s
% 1.51/0.57  % (11627)Instructions burned: 54 (million)
% 1.51/0.57  % (11627)------------------------------
% 1.51/0.57  % (11627)------------------------------
% 1.51/0.57  % (11623)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.51/0.57  % (11630)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.70/0.57  % (11650)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.70/0.57  % (11628)Instruction limit reached!
% 1.70/0.57  % (11628)------------------------------
% 1.70/0.57  % (11628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57  % (11628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57  % (11628)Termination reason: Unknown
% 1.70/0.57  % (11628)Termination phase: Saturation
% 1.70/0.57  
% 1.70/0.57  % (11628)Memory used [KB]: 5628
% 1.70/0.57  % (11628)Time elapsed: 0.156 s
% 1.70/0.57  % (11628)Instructions burned: 8 (million)
% 1.70/0.57  % (11628)------------------------------
% 1.70/0.57  % (11628)------------------------------
% 1.70/0.57  TRYING [1]
% 1.70/0.58  TRYING [2]
% 1.70/0.58  % (11622)Refutation not found, incomplete strategy% (11622)------------------------------
% 1.70/0.58  % (11622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58  % (11622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58  % (11622)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.58  
% 1.70/0.58  % (11622)Memory used [KB]: 5884
% 1.70/0.58  % (11622)Time elapsed: 0.156 s
% 1.70/0.58  % (11622)Instructions burned: 16 (million)
% 1.70/0.58  % (11622)------------------------------
% 1.70/0.58  % (11622)------------------------------
% 1.70/0.59  % (11646)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.70/0.60  TRYING [1]
% 1.70/0.60  TRYING [2]
% 1.70/0.60  % (11639)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.70/0.60  % (11626)Instruction limit reached!
% 1.70/0.60  % (11626)------------------------------
% 1.70/0.60  % (11626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.61  TRYING [3]
% 1.70/0.61  % (11636)Instruction limit reached!
% 1.70/0.61  % (11636)------------------------------
% 1.70/0.61  % (11636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.61  % (11636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.61  % (11636)Termination reason: Unknown
% 1.70/0.61  % (11636)Termination phase: Saturation
% 1.70/0.61  
% 1.70/0.61  % (11636)Memory used [KB]: 2430
% 1.70/0.61  % (11636)Time elapsed: 0.165 s
% 1.70/0.61  % (11636)Instructions burned: 76 (million)
% 1.70/0.61  % (11636)------------------------------
% 1.70/0.61  % (11636)------------------------------
% 1.70/0.62  % (11625)Instruction limit reached!
% 1.70/0.62  % (11625)------------------------------
% 1.70/0.62  % (11625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62  % (11625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62  % (11625)Termination reason: Unknown
% 1.70/0.62  % (11625)Termination phase: Saturation
% 1.70/0.62  
% 1.70/0.62  % (11625)Memory used [KB]: 6524
% 1.70/0.62  % (11625)Time elapsed: 0.206 s
% 1.70/0.62  % (11625)Instructions burned: 52 (million)
% 1.70/0.62  % (11625)------------------------------
% 1.70/0.62  % (11625)------------------------------
% 1.70/0.62  % (11631)Instruction limit reached!
% 1.70/0.62  % (11631)------------------------------
% 1.70/0.62  % (11631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.62  % (11631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62  % (11631)Termination reason: Unknown
% 1.70/0.62  % (11631)Termination phase: Saturation
% 1.70/0.62  
% 1.70/0.62  % (11631)Memory used [KB]: 6652
% 1.70/0.62  % (11631)Time elapsed: 0.224 s
% 1.70/0.62  % (11631)Instructions burned: 50 (million)
% 1.70/0.62  % (11631)------------------------------
% 1.70/0.62  % (11631)------------------------------
% 1.70/0.62  % (11626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.62  % (11626)Termination reason: Unknown
% 1.70/0.62  % (11626)Termination phase: Saturation
% 1.70/0.62  
% 1.70/0.62  % (11626)Memory used [KB]: 6268
% 1.70/0.62  % (11626)Time elapsed: 0.174 s
% 1.70/0.62  % (11626)Instructions burned: 48 (million)
% 1.70/0.62  % (11626)------------------------------
% 1.70/0.62  % (11626)------------------------------
% 2.17/0.64  % (11624)Instruction limit reached!
% 2.17/0.64  % (11624)------------------------------
% 2.17/0.64  % (11624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.64  % (11624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.64  % (11624)Termination reason: Unknown
% 2.17/0.64  % (11624)Termination phase: Saturation
% 2.17/0.64  
% 2.17/0.64  % (11624)Memory used [KB]: 6524
% 2.17/0.64  % (11624)Time elapsed: 0.222 s
% 2.17/0.64  % (11624)Instructions burned: 51 (million)
% 2.17/0.64  % (11624)------------------------------
% 2.17/0.64  % (11624)------------------------------
% 2.17/0.64  TRYING [3]
% 2.17/0.64  % (11638)Instruction limit reached!
% 2.17/0.64  % (11638)------------------------------
% 2.17/0.64  % (11638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.64  % (11638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.64  % (11638)Termination reason: Unknown
% 2.17/0.64  % (11638)Termination phase: Finite model building constraint generation
% 2.17/0.64  
% 2.17/0.64  % (11638)Memory used [KB]: 8187
% 2.17/0.64  % (11638)Time elapsed: 0.247 s
% 2.17/0.64  % (11638)Instructions burned: 61 (million)
% 2.17/0.64  % (11638)------------------------------
% 2.17/0.64  % (11638)------------------------------
% 2.17/0.65  % (11623)Instruction limit reached!
% 2.17/0.65  % (11623)------------------------------
% 2.17/0.65  % (11623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65  % (11623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65  % (11623)Termination reason: Unknown
% 2.17/0.65  % (11623)Termination phase: Saturation
% 2.17/0.65  
% 2.17/0.65  % (11623)Memory used [KB]: 1663
% 2.17/0.65  % (11623)Time elapsed: 0.236 s
% 2.17/0.65  % (11623)Instructions burned: 38 (million)
% 2.17/0.65  % (11623)------------------------------
% 2.17/0.65  % (11623)------------------------------
% 2.35/0.66  % (11630)Instruction limit reached!
% 2.35/0.66  % (11630)------------------------------
% 2.35/0.66  % (11630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.66  % (11630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.66  % (11630)Termination reason: Unknown
% 2.35/0.66  % (11630)Termination phase: Saturation
% 2.35/0.66  
% 2.35/0.66  % (11630)Memory used [KB]: 2174
% 2.35/0.66  % (11630)Time elapsed: 0.225 s
% 2.35/0.66  % (11630)Instructions burned: 51 (million)
% 2.35/0.66  % (11630)------------------------------
% 2.35/0.66  % (11630)------------------------------
% 2.35/0.67  % (11635)Instruction limit reached!
% 2.35/0.67  % (11635)------------------------------
% 2.35/0.67  % (11635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.67  % (11635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.67  % (11635)Termination reason: Unknown
% 2.35/0.67  % (11635)Termination phase: Saturation
% 2.35/0.67  
% 2.35/0.67  % (11635)Memory used [KB]: 7036
% 2.35/0.67  % (11635)Time elapsed: 0.039 s
% 2.35/0.67  % (11635)Instructions burned: 68 (million)
% 2.35/0.67  % (11635)------------------------------
% 2.35/0.67  % (11635)------------------------------
% 2.35/0.68  % (11648)Instruction limit reached!
% 2.35/0.68  % (11648)------------------------------
% 2.35/0.68  % (11648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.68  % (11648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.68  % (11648)Termination reason: Unknown
% 2.35/0.68  % (11648)Termination phase: Saturation
% 2.35/0.68  
% 2.35/0.68  % (11648)Memory used [KB]: 7036
% 2.35/0.68  % (11648)Time elapsed: 0.039 s
% 2.35/0.68  % (11648)Instructions burned: 69 (million)
% 2.35/0.68  % (11648)------------------------------
% 2.35/0.68  % (11648)------------------------------
% 2.35/0.69  % (11633)Instruction limit reached!
% 2.35/0.69  % (11633)------------------------------
% 2.35/0.69  % (11633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.69  % (11633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.69  % (11633)Termination reason: Unknown
% 2.35/0.69  % (11633)Termination phase: Saturation
% 2.35/0.69  
% 2.35/0.69  % (11633)Memory used [KB]: 7419
% 2.35/0.69  % (11633)Time elapsed: 0.249 s
% 2.35/0.69  % (11633)Instructions burned: 101 (million)
% 2.35/0.69  % (11633)------------------------------
% 2.35/0.69  % (11633)------------------------------
% 2.35/0.69  % (11632)Instruction limit reached!
% 2.35/0.69  % (11632)------------------------------
% 2.35/0.69  % (11632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.69  % (11671)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)
% 2.35/0.70  % (11670)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.35/0.71  % (11632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.71  % (11632)Termination reason: Unknown
% 2.35/0.71  % (11632)Termination phase: Saturation
% 2.35/0.71  
% 2.35/0.71  % (11632)Memory used [KB]: 7419
% 2.35/0.71  % (11632)Time elapsed: 0.286 s
% 2.35/0.71  % (11632)Instructions burned: 101 (million)
% 2.35/0.71  % (11632)------------------------------
% 2.35/0.71  % (11632)------------------------------
% 2.35/0.71  % (11672)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)
% 2.35/0.71  % (11673)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.62/0.73  % (11637)Instruction limit reached!
% 2.62/0.73  % (11637)------------------------------
% 2.62/0.73  % (11637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.73  % (11637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.73  % (11637)Termination reason: Unknown
% 2.62/0.73  % (11637)Termination phase: Saturation
% 2.62/0.73  
% 2.62/0.73  % (11637)Memory used [KB]: 6908
% 2.62/0.73  % (11637)Time elapsed: 0.334 s
% 2.62/0.73  % (11637)Instructions burned: 100 (million)
% 2.62/0.73  % (11637)------------------------------
% 2.62/0.73  % (11637)------------------------------
% 2.62/0.73  % (11634)Instruction limit reached!
% 2.62/0.73  % (11634)------------------------------
% 2.62/0.73  % (11634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.73  % (11634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.73  % (11634)Termination reason: Unknown
% 2.62/0.73  % (11634)Termination phase: Saturation
% 2.62/0.73  
% 2.62/0.73  % (11634)Memory used [KB]: 7164
% 2.62/0.73  % (11634)Time elapsed: 0.298 s
% 2.62/0.73  % (11634)Instructions burned: 100 (million)
% 2.62/0.73  % (11634)------------------------------
% 2.62/0.73  % (11634)------------------------------
% 2.62/0.73  % (11640)Instruction limit reached!
% 2.62/0.73  % (11640)------------------------------
% 2.62/0.73  % (11640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.73  % (11640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.73  % (11640)Termination reason: Unknown
% 2.62/0.73  % (11640)Termination phase: Saturation
% 2.62/0.73  
% 2.62/0.73  % (11640)Memory used [KB]: 2686
% 2.62/0.73  % (11640)Time elapsed: 0.336 s
% 2.62/0.73  % (11640)Instructions burned: 101 (million)
% 2.62/0.73  % (11640)------------------------------
% 2.62/0.73  % (11640)------------------------------
% 2.62/0.75  % (11676)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 (2997ds/655Mi)
% 2.62/0.75  % (11675)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.62/0.75  % (11674)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.78/0.76  % (11677)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 (2997ds/68Mi)
% 2.78/0.77  TRYING [4]
% 2.78/0.77  % (11678)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 (2997ds/940Mi)
% 2.78/0.78  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.78/0.78  % (11679)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 (2997ds/981Mi)
% 2.78/0.79  % (11639)Instruction limit reached!
% 2.78/0.79  % (11639)------------------------------
% 2.78/0.79  % (11639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.79  % (11639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.79  % (11639)Termination reason: Unknown
% 2.78/0.79  % (11639)Termination phase: Saturation
% 2.78/0.79  
% 2.78/0.79  % (11639)Memory used [KB]: 7547
% 2.78/0.79  % (11639)Time elapsed: 0.373 s
% 2.78/0.79  % (11639)Instructions burned: 101 (million)
% 2.78/0.79  % (11639)------------------------------
% 2.78/0.79  % (11639)------------------------------
% 2.78/0.79  % (11680)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)
% 2.78/0.79  % (11642)Instruction limit reached!
% 2.78/0.79  % (11642)------------------------------
% 2.78/0.79  % (11642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.79  % (11642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.79  % (11642)Termination reason: Unknown
% 2.78/0.79  % (11642)Termination phase: Saturation
% 2.78/0.79  
% 2.78/0.79  % (11642)Memory used [KB]: 8187
% 2.78/0.79  % (11642)Time elapsed: 0.399 s
% 2.78/0.79  % (11642)Instructions burned: 139 (million)
% 2.78/0.79  % (11642)------------------------------
% 2.78/0.79  % (11642)------------------------------
% 2.78/0.80  % (11681)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)
% 2.78/0.80  % (11682)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.78/0.81  % (11683)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)
% 2.78/0.82  % (11684)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)
% 2.78/0.82  % (11641)Instruction limit reached!
% 2.78/0.82  % (11641)------------------------------
% 2.78/0.82  % (11641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.82  % (11641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.82  % (11641)Termination reason: Unknown
% 2.78/0.82  % (11641)Termination phase: Saturation
% 2.78/0.82  
% 2.78/0.82  % (11641)Memory used [KB]: 6396
% 2.78/0.82  % (11641)Time elapsed: 0.337 s
% 2.78/0.82  % (11641)Instructions burned: 177 (million)
% 2.78/0.82  % (11641)------------------------------
% 2.78/0.82  % (11641)------------------------------
% 3.01/0.84  % (11685)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.01/0.86  % (11649)Instruction limit reached!
% 3.01/0.86  % (11649)------------------------------
% 3.01/0.86  % (11649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.86  % (11649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.86  % (11649)Termination reason: Unknown
% 3.01/0.86  % (11649)Termination phase: Saturation
% 3.01/0.86  
% 3.01/0.86  % (11649)Memory used [KB]: 4093
% 3.01/0.86  % (11649)Time elapsed: 0.428 s
% 3.01/0.86  % (11649)Instructions burned: 178 (million)
% 3.01/0.86  % (11649)------------------------------
% 3.01/0.86  % (11649)------------------------------
% 3.01/0.87  % (11686)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 (2996ds/4931Mi)
% 3.01/0.87  % (11687)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)
% 3.05/0.87  % (11688)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 (2996ds/1824Mi)
% 3.05/0.90  % (11672)Instruction limit reached!
% 3.05/0.90  % (11672)------------------------------
% 3.05/0.90  % (11672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.90  % (11672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.90  % (11672)Termination reason: Unknown
% 3.05/0.90  % (11672)Termination phase: Saturation
% 3.05/0.90  
% 3.05/0.90  % (11672)Memory used [KB]: 6780
% 3.05/0.90  % (11672)Time elapsed: 0.277 s
% 3.05/0.90  % (11672)Instructions burned: 91 (million)
% 3.05/0.90  % (11672)------------------------------
% 3.05/0.90  % (11672)------------------------------
% 3.05/0.90  % (11677)Instruction limit reached!
% 3.05/0.90  % (11677)------------------------------
% 3.05/0.90  % (11677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.90  % (11677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.90  % (11677)Termination reason: Unknown
% 3.05/0.90  % (11677)Termination phase: Saturation
% 3.05/0.90  
% 3.05/0.90  % (11677)Memory used [KB]: 7036
% 3.05/0.90  % (11677)Time elapsed: 0.038 s
% 3.05/0.90  % (11677)Instructions burned: 68 (million)
% 3.05/0.90  % (11677)------------------------------
% 3.05/0.90  % (11677)------------------------------
% 3.05/0.93  % (11689)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)
% 3.32/0.94  % (11690)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.32/0.94  % (11680)Instruction limit reached!
% 3.32/0.94  % (11680)------------------------------
% 3.32/0.94  % (11680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.94  % (11680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.94  % (11680)Termination reason: Unknown
% 3.32/0.94  % (11680)Termination phase: Saturation
% 3.32/0.94  
% 3.32/0.94  % (11680)Memory used [KB]: 7291
% 3.32/0.94  % (11680)Time elapsed: 0.270 s
% 3.32/0.94  % (11680)Instructions burned: 90 (million)
% 3.32/0.94  % (11680)------------------------------
% 3.32/0.94  % (11680)------------------------------
% 3.32/0.95  % (11691)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.44/1.00  % (11692)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)
% 3.44/1.00  % (11687)Instruction limit reached!
% 3.44/1.00  % (11687)------------------------------
% 3.44/1.00  % (11687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.44/1.00  % (11687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.44/1.00  % (11687)Termination reason: Unknown
% 3.44/1.00  % (11687)Termination phase: Saturation
% 3.44/1.00  
% 3.44/1.00  % (11687)Memory used [KB]: 7036
% 3.44/1.00  % (11687)Time elapsed: 0.037 s
% 3.44/1.00  % (11687)Instructions burned: 69 (million)
% 3.44/1.00  % (11687)------------------------------
% 3.44/1.00  % (11687)------------------------------
% 3.63/1.04  % (11693)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)
% 3.63/1.04  % (11694)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.63/1.05  % (11671)Instruction limit reached!
% 3.63/1.05  % (11671)------------------------------
% 3.63/1.05  % (11671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/1.05  % (11671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/1.05  % (11671)Termination reason: Unknown
% 3.63/1.05  % (11671)Termination phase: Saturation
% 3.63/1.05  
% 3.63/1.05  % (11671)Memory used [KB]: 4733
% 3.63/1.05  % (11671)Time elapsed: 0.404 s
% 3.63/1.05  % (11671)Instructions burned: 213 (million)
% 3.63/1.05  % (11671)------------------------------
% 3.63/1.05  % (11671)------------------------------
% 5.65/1.10  % (11695)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 (2994ds/9965Mi)
% 5.65/1.14  % (11696)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)
% 6.23/1.16  % (11692)Instruction limit reached!
% 6.23/1.16  % (11692)------------------------------
% 6.23/1.16  % (11692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.23/1.16  % (11692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.23/1.16  % (11692)Termination reason: Unknown
% 6.23/1.16  % (11692)Termination phase: Saturation
% 6.23/1.16  
% 6.23/1.16  % (11692)Memory used [KB]: 7164
% 6.23/1.16  % (11692)Time elapsed: 0.248 s
% 6.23/1.16  % (11692)Instructions burned: 90 (million)
% 6.23/1.16  % (11692)------------------------------
% 6.23/1.16  % (11692)------------------------------
% 6.52/1.19  % (11697)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)
% 6.52/1.21  % (11651)Instruction limit reached!
% 6.52/1.21  % (11651)------------------------------
% 6.52/1.21  % (11651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.52/1.21  % (11651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.52/1.21  % (11651)Termination reason: Unknown
% 6.52/1.21  % (11651)Termination phase: Saturation
% 6.52/1.21  
% 6.52/1.21  % (11651)Memory used [KB]: 11897
% 6.52/1.21  % (11651)Time elapsed: 0.816 s
% 6.52/1.21  % (11651)Instructions burned: 357 (million)
% 6.52/1.21  % (11651)------------------------------
% 6.52/1.21  % (11651)------------------------------
% 7.05/1.25  TRYING [5]
% 7.05/1.29  % (11643)Instruction limit reached!
% 7.05/1.29  % (11643)------------------------------
% 7.05/1.29  % (11643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.05/1.29  % (11643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.05/1.29  % (11643)Termination reason: Unknown
% 7.05/1.29  % (11643)Termination phase: Saturation
% 7.05/1.29  
% 7.05/1.29  % (11643)Memory used [KB]: 5373
% 7.05/1.29  % (11643)Time elapsed: 0.837 s
% 7.05/1.29  % (11643)Instructions burned: 499 (million)
% 7.05/1.29  % (11643)------------------------------
% 7.05/1.29  % (11643)------------------------------
% 7.05/1.30  % (11698)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)
% 7.84/1.37  % (11670)Instruction limit reached!
% 7.84/1.37  % (11670)------------------------------
% 7.84/1.37  % (11670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.37  % (11670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.37  % (11670)Termination reason: Unknown
% 7.84/1.37  % (11670)Termination phase: Saturation
% 7.84/1.37  
% 7.84/1.37  % (11670)Memory used [KB]: 9338
% 7.84/1.37  % (11670)Time elapsed: 0.810 s
% 7.84/1.37  % (11670)Instructions burned: 389 (million)
% 7.84/1.37  % (11670)------------------------------
% 7.84/1.37  % (11670)------------------------------
% 7.84/1.38  % (11699)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.84/1.40  % (11650)Instruction limit reached!
% 7.84/1.40  % (11650)------------------------------
% 7.84/1.40  % (11650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.40  % (11650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.40  % (11650)Termination reason: Unknown
% 7.84/1.40  % (11650)Termination phase: Saturation
% 7.84/1.40  
% 7.84/1.40  % (11650)Memory used [KB]: 10618
% 7.84/1.40  % (11650)Time elapsed: 0.969 s
% 7.84/1.40  % (11650)Instructions burned: 441 (million)
% 7.84/1.40  % (11650)------------------------------
% 7.84/1.40  % (11650)------------------------------
% 7.84/1.41  % (11644)Instruction limit reached!
% 7.84/1.41  % (11644)------------------------------
% 7.84/1.41  % (11644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.41  % (11644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.41  % (11644)Termination reason: Unknown
% 7.84/1.41  % (11644)Termination phase: Saturation
% 7.84/1.41  
% 7.84/1.41  % (11644)Memory used [KB]: 8315
% 7.84/1.41  % (11644)Time elapsed: 0.947 s
% 7.84/1.41  % (11644)Instructions burned: 467 (million)
% 7.84/1.41  % (11644)------------------------------
% 7.84/1.41  % (11644)------------------------------
% 7.84/1.44  % (11645)Instruction limit reached!
% 7.84/1.44  % (11645)------------------------------
% 7.84/1.44  % (11645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.84/1.44  % (11645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.84/1.44  % (11645)Termination reason: Unknown
% 7.84/1.44  % (11645)Termination phase: Saturation
% 7.84/1.44  
% 7.84/1.44  % (11645)Memory used [KB]: 13944
% 7.84/1.44  % (11645)Time elapsed: 1.009 s
% 7.84/1.44  % (11645)Instructions burned: 483 (million)
% 7.84/1.44  % (11645)------------------------------
% 7.84/1.44  % (11645)------------------------------
% 8.47/1.45  % (11700)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 8.72/1.51  % (11701)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 (2989ds/90Mi)
% 8.72/1.51  % (11646)Instruction limit reached!
% 8.72/1.51  % (11646)------------------------------
% 8.72/1.51  % (11646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.72/1.51  % (11646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.72/1.51  % (11646)Termination reason: Unknown
% 8.72/1.51  % (11646)Termination phase: Saturation
% 8.72/1.51  
% 8.72/1.51  % (11646)Memory used [KB]: 13176
% 8.72/1.51  % (11646)Time elapsed: 1.096 s
% 8.72/1.51  % (11646)Instructions burned: 500 (million)
% 8.72/1.51  % (11646)------------------------------
% 8.72/1.51  % (11646)------------------------------
% 9.01/1.54  % (11702)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/44001Mi)
% 9.13/1.55  % (11703)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 (2989ds/4958Mi)
% 9.13/1.56  % (11683)First to succeed.
% 9.13/1.59  % (11704)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 9.13/1.59  % (11683)Refutation found. Thanks to Tanya!
% 9.13/1.59  % SZS status Unsatisfiable for theBenchmark
% 9.13/1.59  % SZS output start Proof for theBenchmark
% See solution above
% 9.13/1.60  % (11683)------------------------------
% 9.13/1.60  % (11683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.13/1.60  % (11683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.13/1.60  % (11683)Termination reason: Refutation
% 9.13/1.60  
% 9.13/1.60  % (11683)Memory used [KB]: 2558
% 9.13/1.60  % (11683)Time elapsed: 0.876 s
% 9.13/1.60  % (11683)Instructions burned: 587 (million)
% 9.13/1.60  % (11683)------------------------------
% 9.13/1.60  % (11683)------------------------------
% 9.13/1.60  % (11610)Success in time 1.241 s
%------------------------------------------------------------------------------