%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC065-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Tue Apr 30 15:49:19 EDT 2024

% Result   : Unsatisfiable 2.90s 0.79s
% Output   : Refutation 2.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :  253
% Syntax   : Number of formulae    :  870 ( 144 unt;   0 def)
%            Number of atoms       : 2482 ( 633 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 2917 (1305   ~;1559   |;   0   &)
%                                         (  53 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   74 (  72 usr;  54 prp; 0-2 aty)
%            Number of functors    :   54 (  54 usr;   8 con; 0-2 aty)
%            Number of variables   :  827 ( 827   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8896,plain,
    $false,
    inference(avatar_sat_refutation,[],[f252,f262,f669,f673,f756,f829,f850,f852,f870,f881,f885,f927,f955,f958,f1049,f1053,f1287,f1312,f1484,f1488,f1497,f1501,f1512,f1514,f1543,f1547,f2156,f2169,f2200,f2209,f2222,f2234,f2498,f2643,f7801,f7894,f7905,f7965,f8895]) ).

fof(f8895,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f8894]) ).

fof(f8894,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(subsumption_resolution,[],[f8893,f186]) ).

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

fof(f8893,plain,
    ( ~ ssList(sk1)
    | spl0_2
    | spl0_10 ),
    inference(resolution,[],[f8888,f57]) ).

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

fof(f8888,plain,
    ( ~ segmentP(sk1,sk1)
    | spl0_2
    | spl0_10 ),
    inference(subsumption_resolution,[],[f8887,f869]) ).

fof(f869,plain,
    ( nil != sk1
    | spl0_10 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f867,plain,
    ( spl0_10
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f8887,plain,
    ( ~ segmentP(sk1,sk1)
    | nil = sk1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f8883,f186]) ).

fof(f8883,plain,
    ( ~ segmentP(sk1,sk1)
    | ~ ssList(sk1)
    | nil = sk1
    | spl0_2 ),
    inference(resolution,[],[f8877,f945]) ).

fof(f945,plain,
    ( ! [X0] :
        ( ~ segmentP(sk2,X0)
        | ~ segmentP(sk1,X0)
        | ~ ssList(X0)
        | nil = X0 )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f944,f8]) ).

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

fof(f944,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ segmentP(sk1,X0)
        | ~ segmentP(sk2,X0)
        | ~ ssList(nil)
        | nil = X0 )
    | spl0_2 ),
    inference(duplicate_literal_removal,[],[f942]) ).

fof(f942,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ segmentP(sk1,X0)
        | ~ segmentP(sk2,X0)
        | ~ ssList(nil)
        | nil = X0
        | ~ ssList(X0) )
    | spl0_2 ),
    inference(resolution,[],[f905,f100]) ).

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

fof(f905,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ ssList(X6)
        | ~ segmentP(sk1,X6)
        | ~ segmentP(sk2,X6) )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f198,f250]) ).

fof(f250,plain,
    ( nil != sk2
    | spl0_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl0_2
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

fof(f8877,plain,
    segmentP(sk2,sk1),
    inference(subsumption_resolution,[],[f8876,f187]) ).

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

fof(f8876,plain,
    ( ~ ssList(sk2)
    | segmentP(sk2,sk1) ),
    inference(forward_demodulation,[],[f8875,f242]) ).

fof(f242,plain,
    sk2 = app(sk1,sk5),
    inference(forward_demodulation,[],[f241,f190]) ).

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

fof(f241,plain,
    sk4 = app(sk1,sk5),
    inference(forward_demodulation,[],[f193,f191]) ).

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

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

fof(f8875,plain,
    ( segmentP(sk2,sk1)
    | ~ ssList(app(sk1,sk5)) ),
    inference(subsumption_resolution,[],[f8866,f192]) ).

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

fof(f8866,plain,
    ( segmentP(sk2,sk1)
    | ~ ssList(app(sk1,sk5))
    | ~ ssList(sk5) ),
    inference(superposition,[],[f8319,f242]) ).

fof(f8319,plain,
    ! [X0] :
      ( segmentP(app(sk1,X0),sk1)
      | ~ ssList(app(sk1,X0))
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f8318,f328]) ).

fof(f328,plain,
    sk1 = app(nil,sk1),
    inference(resolution,[],[f74,f186]) ).

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

fof(f8318,plain,
    ! [X0] :
      ( segmentP(app(sk1,X0),sk1)
      | ~ ssList(app(app(nil,sk1),X0))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f8317,f8]) ).

fof(f8317,plain,
    ! [X0] :
      ( segmentP(app(sk1,X0),sk1)
      | ~ ssList(app(app(nil,sk1),X0))
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f8170,f186]) ).

fof(f8170,plain,
    ! [X0] :
      ( segmentP(app(sk1,X0),sk1)
      | ~ ssList(app(app(nil,sk1),X0))
      | ~ ssList(sk1)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f216,f328]) ).

fof(f216,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f173]) ).

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

fof(f7965,plain,
    ( spl0_52
    | ~ spl0_53
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f7467,f1042,f867,f662,f7962,f7958]) ).

fof(f7958,plain,
    ( spl0_52
  <=> tl(sk1) = tl(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f7962,plain,
    ( spl0_53
  <=> frontsegP(tl(sk1),tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f662,plain,
    ( spl0_5
  <=> ssList(tl(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1042,plain,
    ( spl0_15
  <=> ssList(tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f7467,plain,
    ( ~ frontsegP(tl(sk1),tl(sk2))
    | tl(sk1) = tl(sk2)
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f7466,f1043]) ).

fof(f1043,plain,
    ( ssList(tl(sk2))
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f7466,plain,
    ( ~ ssList(tl(sk2))
    | ~ frontsegP(tl(sk1),tl(sk2))
    | tl(sk1) = tl(sk2)
    | ~ spl0_5
    | spl0_10 ),
    inference(subsumption_resolution,[],[f7461,f663]) ).

fof(f663,plain,
    ( ssList(tl(sk1))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f7461,plain,
    ( ~ ssList(tl(sk1))
    | ~ ssList(tl(sk2))
    | ~ frontsegP(tl(sk1),tl(sk2))
    | tl(sk1) = tl(sk2)
    | ~ spl0_5
    | spl0_10 ),
    inference(resolution,[],[f7446,f129]) ).

fof(f129,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f7446,plain,
    ( frontsegP(tl(sk2),tl(sk1))
    | ~ spl0_5
    | spl0_10 ),
    inference(subsumption_resolution,[],[f7445,f192]) ).

fof(f7445,plain,
    ( frontsegP(tl(sk2),tl(sk1))
    | ~ ssList(sk5)
    | ~ spl0_5
    | spl0_10 ),
    inference(subsumption_resolution,[],[f7422,f663]) ).

fof(f7422,plain,
    ( frontsegP(tl(sk2),tl(sk1))
    | ~ ssList(tl(sk1))
    | ~ ssList(sk5)
    | spl0_10 ),
    inference(superposition,[],[f2548,f7405]) ).

fof(f7405,plain,
    ( tl(sk2) = app(tl(sk1),sk5)
    | spl0_10 ),
    inference(forward_demodulation,[],[f7401,f242]) ).

fof(f7401,plain,
    ( app(tl(sk1),sk5) = tl(app(sk1,sk5))
    | spl0_10 ),
    inference(resolution,[],[f4377,f192]) ).

fof(f4377,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(tl(sk1),X0) = tl(app(sk1,X0)) )
    | spl0_10 ),
    inference(subsumption_resolution,[],[f4368,f869]) ).

fof(f4368,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = sk1
      | app(tl(sk1),X0) = tl(app(sk1,X0)) ),
    inference(resolution,[],[f133,f186]) ).

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

fof(f2548,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f212,f85]) ).

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

fof(f212,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | frontsegP(app(X0,X1),X0) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | frontsegP(X2,X0)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f7905,plain,
    ( ~ spl0_50
    | spl0_51
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f7881,f1042,f867,f662,f7902,f7898]) ).

fof(f7898,plain,
    ( spl0_50
  <=> frontsegP(sk1,tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f7902,plain,
    ( spl0_51
  <=> frontsegP(sk2,tl(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f7881,plain,
    ( frontsegP(sk2,tl(sk1))
    | ~ frontsegP(sk1,tl(sk2))
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f7880,f1043]) ).

fof(f7880,plain,
    ( frontsegP(sk2,tl(sk1))
    | ~ ssList(tl(sk2))
    | ~ frontsegP(sk1,tl(sk2))
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f7867,f187]) ).

fof(f7867,plain,
    ( ~ ssList(sk2)
    | frontsegP(sk2,tl(sk1))
    | ~ ssList(tl(sk2))
    | ~ frontsegP(sk1,tl(sk2))
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(resolution,[],[f7463,f3262]) ).

fof(f3262,plain,
    ! [X0] :
      ( frontsegP(sk2,X0)
      | ~ ssList(X0)
      | ~ frontsegP(sk1,X0) ),
    inference(subsumption_resolution,[],[f3261,f192]) ).

fof(f3261,plain,
    ! [X0] :
      ( frontsegP(sk2,X0)
      | ~ ssList(X0)
      | ~ frontsegP(sk1,X0)
      | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f3179,f186]) ).

fof(f3179,plain,
    ! [X0] :
      ( frontsegP(sk2,X0)
      | ~ ssList(sk1)
      | ~ ssList(X0)
      | ~ frontsegP(sk1,X0)
      | ~ ssList(sk5) ),
    inference(superposition,[],[f137,f242]) ).

fof(f137,axiom,
    ! [X2,X0,X1] :
      ( frontsegP(app(X0,X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f7463,plain,
    ( ! [X0] :
        ( ~ frontsegP(X0,tl(sk2))
        | ~ ssList(X0)
        | frontsegP(X0,tl(sk1)) )
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f7462,f663]) ).

fof(f7462,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(tl(sk1))
        | ~ frontsegP(X0,tl(sk2))
        | frontsegP(X0,tl(sk1)) )
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f7459,f1043]) ).

fof(f7459,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(tl(sk2))
        | ~ ssList(tl(sk1))
        | ~ frontsegP(X0,tl(sk2))
        | frontsegP(X0,tl(sk1)) )
    | ~ spl0_5
    | spl0_10 ),
    inference(resolution,[],[f7446,f154]) ).

fof(f154,axiom,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X1,X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ frontsegP(X0,X1)
      | frontsegP(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f7894,plain,
    ( ~ spl0_48
    | spl0_49
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f7877,f1042,f867,f662,f7891,f7887]) ).

fof(f7887,plain,
    ( spl0_48
  <=> frontsegP(nil,tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f7891,plain,
    ( spl0_49
  <=> frontsegP(sk1,tl(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f7877,plain,
    ( frontsegP(sk1,tl(sk1))
    | ~ frontsegP(nil,tl(sk2))
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f7876,f1043]) ).

fof(f7876,plain,
    ( frontsegP(sk1,tl(sk1))
    | ~ ssList(tl(sk2))
    | ~ frontsegP(nil,tl(sk2))
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f7865,f186]) ).

fof(f7865,plain,
    ( ~ ssList(sk1)
    | frontsegP(sk1,tl(sk1))
    | ~ ssList(tl(sk2))
    | ~ frontsegP(nil,tl(sk2))
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(resolution,[],[f7463,f3251]) ).

fof(f3251,plain,
    ! [X0] :
      ( frontsegP(sk1,X0)
      | ~ ssList(X0)
      | ~ frontsegP(nil,X0) ),
    inference(subsumption_resolution,[],[f3250,f186]) ).

fof(f3250,plain,
    ! [X0] :
      ( frontsegP(sk1,X0)
      | ~ ssList(X0)
      | ~ frontsegP(nil,X0)
      | ~ ssList(sk1) ),
    inference(subsumption_resolution,[],[f3144,f8]) ).

fof(f3144,plain,
    ! [X0] :
      ( frontsegP(sk1,X0)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ frontsegP(nil,X0)
      | ~ ssList(sk1) ),
    inference(superposition,[],[f137,f328]) ).

fof(f7801,plain,
    ( spl0_46
    | ~ spl0_47
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f7792,f1042,f867,f662,f7798,f7794]) ).

fof(f7794,plain,
    ( spl0_46
  <=> frontsegP(tl(sk2),sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f7798,plain,
    ( spl0_47
  <=> frontsegP(tl(sk1),sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f7792,plain,
    ( ~ frontsegP(tl(sk1),sk2)
    | frontsegP(tl(sk2),sk1)
    | ~ spl0_5
    | spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f7791,f1043]) ).

fof(f7791,plain,
    ( ~ frontsegP(tl(sk1),sk2)
    | ~ ssList(tl(sk2))
    | frontsegP(tl(sk2),sk1)
    | ~ spl0_5
    | spl0_10 ),
    inference(subsumption_resolution,[],[f7784,f187]) ).

fof(f7784,plain,
    ( ~ ssList(sk2)
    | ~ frontsegP(tl(sk1),sk2)
    | ~ ssList(tl(sk2))
    | frontsegP(tl(sk2),sk1)
    | ~ spl0_5
    | spl0_10 ),
    inference(resolution,[],[f7428,f3890]) ).

fof(f3890,plain,
    ! [X0] :
      ( ~ frontsegP(X0,sk2)
      | ~ ssList(X0)
      | frontsegP(X0,sk1) ),
    inference(subsumption_resolution,[],[f3889,f186]) ).

fof(f3889,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(sk1)
      | ~ frontsegP(X0,sk2)
      | frontsegP(X0,sk1) ),
    inference(subsumption_resolution,[],[f3863,f187]) ).

fof(f3863,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(sk2)
      | ~ ssList(sk1)
      | ~ frontsegP(X0,sk2)
      | frontsegP(X0,sk1) ),
    inference(resolution,[],[f154,f2631]) ).

fof(f2631,plain,
    frontsegP(sk2,sk1),
    inference(subsumption_resolution,[],[f2630,f192]) ).

fof(f2630,plain,
    ( frontsegP(sk2,sk1)
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f2623,f186]) ).

fof(f2623,plain,
    ( frontsegP(sk2,sk1)
    | ~ ssList(sk1)
    | ~ ssList(sk5) ),
    inference(superposition,[],[f2548,f242]) ).

fof(f7428,plain,
    ( ! [X0] :
        ( frontsegP(tl(sk2),X0)
        | ~ ssList(X0)
        | ~ frontsegP(tl(sk1),X0) )
    | ~ spl0_5
    | spl0_10 ),
    inference(subsumption_resolution,[],[f7427,f192]) ).

fof(f7427,plain,
    ( ! [X0] :
        ( frontsegP(tl(sk2),X0)
        | ~ ssList(X0)
        | ~ frontsegP(tl(sk1),X0)
        | ~ ssList(sk5) )
    | ~ spl0_5
    | spl0_10 ),
    inference(subsumption_resolution,[],[f7412,f663]) ).

fof(f7412,plain,
    ( ! [X0] :
        ( frontsegP(tl(sk2),X0)
        | ~ ssList(tl(sk1))
        | ~ ssList(X0)
        | ~ frontsegP(tl(sk1),X0)
        | ~ ssList(sk5) )
    | spl0_10 ),
    inference(superposition,[],[f137,f7405]) ).

fof(f2643,plain,
    ( spl0_44
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f2634,f2640,f2636]) ).

fof(f2636,plain,
    ( spl0_44
  <=> sk1 = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f2640,plain,
    ( spl0_45
  <=> frontsegP(sk1,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2634,plain,
    ( ~ frontsegP(sk1,sk2)
    | sk1 = sk2 ),
    inference(subsumption_resolution,[],[f2633,f187]) ).

fof(f2633,plain,
    ( ~ ssList(sk2)
    | ~ frontsegP(sk1,sk2)
    | sk1 = sk2 ),
    inference(subsumption_resolution,[],[f2632,f186]) ).

fof(f2632,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk2)
    | ~ frontsegP(sk1,sk2)
    | sk1 = sk2 ),
    inference(resolution,[],[f2631,f129]) ).

fof(f2498,plain,
    ( spl0_42
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f2489,f2495,f2491]) ).

fof(f2491,plain,
    ( spl0_42
  <=> sk2 = sk5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2495,plain,
    ( spl0_43
  <=> rearsegP(sk5,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2489,plain,
    ( ~ rearsegP(sk5,sk2)
    | sk2 = sk5 ),
    inference(subsumption_resolution,[],[f2488,f187]) ).

fof(f2488,plain,
    ( ~ ssList(sk2)
    | ~ rearsegP(sk5,sk2)
    | sk2 = sk5 ),
    inference(subsumption_resolution,[],[f2487,f192]) ).

fof(f2487,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk2)
    | ~ rearsegP(sk5,sk2)
    | sk2 = sk5 ),
    inference(resolution,[],[f2486,f128]) ).

fof(f128,axiom,
    ! [X0,X1] :
      ( ~ rearsegP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ rearsegP(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f2486,plain,
    rearsegP(sk2,sk5),
    inference(subsumption_resolution,[],[f2485,f186]) ).

fof(f2485,plain,
    ( rearsegP(sk2,sk5)
    | ~ ssList(sk1) ),
    inference(subsumption_resolution,[],[f2478,f192]) ).

fof(f2478,plain,
    ( rearsegP(sk2,sk5)
    | ~ ssList(sk5)
    | ~ ssList(sk1) ),
    inference(superposition,[],[f2355,f242]) ).

fof(f2355,plain,
    ! [X0,X1] :
      ( rearsegP(app(X0,X1),X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f211,f85]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1)
      | rearsegP(app(X0,X1),X1) ),
    inference(equality_resolution,[],[f143]) ).

fof(f143,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | rearsegP(X2,X1)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f2234,plain,
    ( spl0_40
    | ~ spl0_41
    | ~ spl0_5
    | spl0_10
    | ~ spl0_23
    | spl0_37 ),
    inference(avatar_split_clause,[],[f2225,f2211,f1490,f867,f662,f2231,f2227]) ).

fof(f2227,plain,
    ( spl0_40
  <=> totalorderedP(tl(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f2231,plain,
    ( spl0_41
  <=> totalorderedP(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1490,plain,
    ( spl0_23
  <=> ssItem(hd(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f2211,plain,
    ( spl0_37
  <=> nil = tl(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f2225,plain,
    ( ~ totalorderedP(sk1)
    | totalorderedP(tl(sk1))
    | ~ spl0_5
    | spl0_10
    | ~ spl0_23
    | spl0_37 ),
    inference(subsumption_resolution,[],[f2185,f2212]) ).

fof(f2212,plain,
    ( nil != tl(sk1)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f2211]) ).

fof(f2185,plain,
    ( ~ totalorderedP(sk1)
    | totalorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ spl0_5
    | spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f2184,f1491]) ).

fof(f1491,plain,
    ( ssItem(hd(sk1))
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f1490]) ).

fof(f2184,plain,
    ( ~ totalorderedP(sk1)
    | totalorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ ssItem(hd(sk1))
    | ~ spl0_5
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2173,f663]) ).

fof(f2173,plain,
    ( ~ totalorderedP(sk1)
    | ~ ssList(tl(sk1))
    | totalorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ ssItem(hd(sk1))
    | spl0_10 ),
    inference(superposition,[],[f125,f1516]) ).

fof(f1516,plain,
    ( sk1 = cons(hd(sk1),tl(sk1))
    | spl0_10 ),
    inference(global_subsumption,[],[f193,f196,f195,f200,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f77,f229,f157,f207,f235,f208,f236,f169,f149,f131,f168,f132,f123,f133,f139,f126,f130,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f194,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f239,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f232,f233,f234,f242,f48,f49,f50,f51,f52,f53,f197,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f228,f230,f237,f64,f65,f66,f67,f68,f69,f70,f72,f73,f297,f291,f295,f74,f334,f328,f332,f75,f337,f338,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f354,f355,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f100,f101,f290,f322,f323,f324,f325,f326,f327,f104,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f642,f643,f109,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f712,f713,f719,f648,f118,f199,f855,f856,f716,f857,f645,f198,f335,f298,f292,f329,f243,f869,f961,f119,f1070,f122,f121,f120,f206,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f78,f76,f86,f1353,f1354,f1355,f1356,f98,f99,f1459,f227,f1471,f834,f831,f715,f231,f1515,f644]) ).

fof(f644,plain,
    ( nil = sk1
    | sk1 = cons(hd(sk1),tl(sk1)) ),
    inference(resolution,[],[f104,f186]) ).

fof(f1515,plain,
    ( nil != sk1
    | spl0_10 ),
    inference(global_subsumption,[],[f193,f196,f195,f200,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f77,f229,f157,f207,f235,f208,f236,f169,f149,f131,f168,f132,f123,f133,f139,f126,f130,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f194,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f239,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f232,f233,f234,f242,f48,f49,f50,f51,f52,f53,f197,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f228,f230,f237,f64,f65,f66,f67,f68,f69,f70,f72,f73,f297,f291,f295,f74,f334,f328,f332,f75,f337,f338,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f354,f355,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f100,f101,f290,f322,f323,f324,f325,f326,f327,f104,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f642,f643,f109,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f712,f713,f719,f648,f118,f199,f855,f856,f716,f857,f645,f198,f335,f298,f292,f329,f243,f869,f961,f119,f1070,f122,f121,f120,f206,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f78,f76,f86,f1353,f1354,f1355,f1356,f98,f99,f1459,f227,f1471,f834,f831,f715,f644,f231]) ).

fof(f231,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | nil != sk1
      | ~ neq(X6,nil)
      | ~ segmentP(nil,X6)
      | ~ segmentP(sk2,X6) ),
    inference(inner_rewriting,[],[f200]) ).

fof(f715,plain,
    ( nil = sk1
    | sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
    inference(resolution,[],[f109,f186]) ).

fof(f831,plain,
    ( sk1 = cons(skaf83(sk1),skaf82(sk1))
    | nil = sk1 ),
    inference(forward_demodulation,[],[f722,f191]) ).

fof(f722,plain,
    ( nil = sk1
    | sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
    inference(forward_demodulation,[],[f717,f191]) ).

fof(f717,plain,
    ( nil = sk3
    | sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
    inference(resolution,[],[f109,f188]) ).

fof(f834,plain,
    ( sk1 = cons(hd(sk1),tl(sk1))
    | nil = sk1 ),
    inference(forward_demodulation,[],[f651,f191]) ).

fof(f651,plain,
    ( nil = sk1
    | sk3 = cons(hd(sk3),tl(sk3)) ),
    inference(forward_demodulation,[],[f646,f191]) ).

fof(f646,plain,
    ( nil = sk3
    | sk3 = cons(hd(sk3),tl(sk3)) ),
    inference(resolution,[],[f104,f188]) ).

fof(f1471,plain,
    ( memberP(sk1,skaf83(sk1))
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1470,f12]) ).

fof(f1470,plain,
    ( memberP(sk1,skaf83(sk1))
    | ~ ssItem(skaf83(sk1))
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1467,f13]) ).

fof(f1467,plain,
    ( memberP(sk1,skaf83(sk1))
    | ~ ssList(skaf82(sk1))
    | ~ ssItem(skaf83(sk1))
    | spl0_10 ),
    inference(superposition,[],[f227,f1070]) ).

fof(f227,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,plain,
    ! [X2,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | memberP(cons(X1,X2),X1) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | X0 != X1
      | memberP(cons(X1,X2),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f1459,plain,
    ( sk1 != skaf82(sk1)
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1458,f12]) ).

fof(f1458,plain,
    ( sk1 != skaf82(sk1)
    | ~ ssItem(skaf83(sk1))
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1452,f13]) ).

fof(f1452,plain,
    ( sk1 != skaf82(sk1)
    | ~ ssList(skaf82(sk1))
    | ~ ssItem(skaf83(sk1))
    | spl0_10 ),
    inference(superposition,[],[f99,f1070]) ).

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

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f1356,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | nil = cons(X1,X0)
      | cons(X1,X0) = cons(skaf83(cons(X1,X0)),skaf82(cons(X1,X0))) ),
    inference(resolution,[],[f86,f109]) ).

fof(f1355,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | nil = cons(X1,X0)
      | cons(X1,X0) = cons(hd(cons(X1,X0)),tl(cons(X1,X0))) ),
    inference(resolution,[],[f86,f104]) ).

fof(f1354,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(nil,cons(X1,X0)) ),
    inference(resolution,[],[f86,f74]) ).

fof(f1353,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,X0),nil) ),
    inference(resolution,[],[f86,f73]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

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

fof(f96,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | tl(cons(X0,X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | hd(cons(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f102,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssItem(X0)
      | X0 = X1
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,axiom,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f105,axiom,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | lt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ ssItem(X1)
      | ~ lt(X0,X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,axiom,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ ssItem(X0)
      | ~ geq(X0,X1)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,axiom,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | geq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f110,axiom,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f114,axiom,
    ! [X0,X1] :
      ( ~ lt(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ lt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f206,plain,
    ! [X0] :
      ( singletonP(cons(X0,nil))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | singletonP(X1)
      | cons(X0,nil) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,axiom,
    ! [X0,X1] :
      ( lt(X0,X1)
      | ~ ssItem(X0)
      | ~ leq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X0,X1)
      | X0 = X1
      | lt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f1070,plain,
    ( sk1 = cons(skaf83(sk1),skaf82(sk1))
    | spl0_10 ),
    inference(subsumption_resolution,[],[f715,f869]) ).

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

fof(f961,plain,
    ( sk1 = cons(hd(sk1),tl(sk1))
    | spl0_10 ),
    inference(subsumption_resolution,[],[f644,f869]) ).

fof(f243,plain,
    ( nil != sk1
    | nil = sk4 ),
    inference(forward_demodulation,[],[f196,f191]) ).

fof(f329,plain,
    sk2 = app(nil,sk2),
    inference(resolution,[],[f74,f187]) ).

fof(f292,plain,
    sk2 = app(sk2,nil),
    inference(resolution,[],[f73,f187]) ).

fof(f298,plain,
    sk2 = app(sk2,nil),
    inference(forward_demodulation,[],[f294,f190]) ).

fof(f294,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f189]) ).

fof(f335,plain,
    sk2 = app(nil,sk2),
    inference(forward_demodulation,[],[f331,f190]) ).

fof(f331,plain,
    sk4 = app(nil,sk4),
    inference(resolution,[],[f74,f189]) ).

fof(f645,plain,
    ( nil = sk2
    | sk2 = cons(hd(sk2),tl(sk2)) ),
    inference(resolution,[],[f104,f187]) ).

fof(f857,plain,
    ( sk2 = cons(hd(sk2),tl(sk2))
    | nil = sk2 ),
    inference(forward_demodulation,[],[f654,f190]) ).

fof(f654,plain,
    ( nil = sk2
    | sk4 = cons(hd(sk4),tl(sk4)) ),
    inference(forward_demodulation,[],[f647,f190]) ).

fof(f647,plain,
    ( nil = sk4
    | sk4 = cons(hd(sk4),tl(sk4)) ),
    inference(resolution,[],[f104,f189]) ).

fof(f716,plain,
    ( nil = sk2
    | sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
    inference(resolution,[],[f109,f187]) ).

fof(f856,plain,
    ( sk2 = cons(skaf83(sk2),skaf82(sk2))
    | nil = sk2 ),
    inference(forward_demodulation,[],[f725,f190]) ).

fof(f725,plain,
    ( nil = sk2
    | sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
    inference(forward_demodulation,[],[f718,f190]) ).

fof(f718,plain,
    ( nil = sk4
    | sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
    inference(resolution,[],[f109,f189]) ).

fof(f855,plain,
    ( nil != sk2
    | nil = sk1 ),
    inference(subsumption_resolution,[],[f854,f192]) ).

fof(f854,plain,
    ( nil != sk2
    | nil = sk1
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f822,f186]) ).

fof(f822,plain,
    ( nil != sk2
    | ~ ssList(sk1)
    | nil = sk1
    | ~ ssList(sk5) ),
    inference(superposition,[],[f118,f242]) ).

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

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

fof(f648,plain,
    ( nil = sk5
    | sk5 = cons(hd(sk5),tl(sk5)) ),
    inference(resolution,[],[f104,f192]) ).

fof(f719,plain,
    ( nil = sk5
    | sk5 = cons(skaf83(sk5),skaf82(sk5)) ),
    inference(resolution,[],[f109,f192]) ).

fof(f713,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f109,f75]) ).

fof(f712,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | app(X0,X1) = cons(skaf83(app(X0,X1)),skaf82(app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f109,f85]) ).

fof(f710,plain,
    ! [X0,X1] :
      ( nil = skaf42(X0,X1)
      | skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
    inference(resolution,[],[f109,f53]) ).

fof(f709,plain,
    ! [X0,X1] :
      ( nil = skaf43(X0,X1)
      | skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
    inference(resolution,[],[f109,f52]) ).

fof(f708,plain,
    ! [X0,X1] :
      ( nil = skaf45(X0,X1)
      | skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
    inference(resolution,[],[f109,f51]) ).

fof(f707,plain,
    ! [X0,X1] :
      ( nil = skaf46(X0,X1)
      | skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
    inference(resolution,[],[f109,f50]) ).

fof(f706,plain,
    ! [X0,X1] :
      ( nil = skaf47(X0,X1)
      | skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
    inference(resolution,[],[f109,f49]) ).

fof(f705,plain,
    ! [X0,X1] :
      ( nil = skaf48(X0,X1)
      | skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
    inference(resolution,[],[f109,f48]) ).

fof(f704,plain,
    ! [X0] :
      ( nil = skaf51(X0)
      | skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
    inference(resolution,[],[f109,f44]) ).

fof(f703,plain,
    ! [X0] :
      ( nil = skaf52(X0)
      | skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
    inference(resolution,[],[f109,f43]) ).

fof(f702,plain,
    ! [X0] :
      ( nil = skaf53(X0)
      | skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
    inference(resolution,[],[f109,f42]) ).

fof(f701,plain,
    ! [X0] :
      ( nil = skaf56(X0)
      | skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
    inference(resolution,[],[f109,f39]) ).

fof(f700,plain,
    ! [X0] :
      ( nil = skaf57(X0)
      | skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
    inference(resolution,[],[f109,f38]) ).

fof(f699,plain,
    ! [X0] :
      ( nil = skaf58(X0)
      | skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
    inference(resolution,[],[f109,f37]) ).

fof(f698,plain,
    ! [X0] :
      ( nil = skaf61(X0)
      | skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
    inference(resolution,[],[f109,f34]) ).

fof(f697,plain,
    ! [X0] :
      ( nil = skaf62(X0)
      | skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
    inference(resolution,[],[f109,f33]) ).

fof(f696,plain,
    ! [X0] :
      ( nil = skaf63(X0)
      | skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
    inference(resolution,[],[f109,f32]) ).

fof(f695,plain,
    ! [X0] :
      ( nil = skaf66(X0)
      | skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
    inference(resolution,[],[f109,f29]) ).

fof(f694,plain,
    ! [X0] :
      ( nil = skaf67(X0)
      | skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
    inference(resolution,[],[f109,f28]) ).

fof(f693,plain,
    ! [X0] :
      ( nil = skaf68(X0)
      | skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
    inference(resolution,[],[f109,f27]) ).

fof(f692,plain,
    ! [X0] :
      ( nil = skaf71(X0)
      | skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
    inference(resolution,[],[f109,f24]) ).

fof(f691,plain,
    ! [X0] :
      ( nil = skaf72(X0)
      | skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
    inference(resolution,[],[f109,f23]) ).

fof(f690,plain,
    ! [X0] :
      ( nil = skaf73(X0)
      | skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
    inference(resolution,[],[f109,f22]) ).

fof(f689,plain,
    ! [X0] :
      ( nil = skaf75(X0)
      | skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
    inference(resolution,[],[f109,f20]) ).

fof(f688,plain,
    ! [X0] :
      ( nil = skaf76(X0)
      | skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
    inference(resolution,[],[f109,f19]) ).

fof(f687,plain,
    ! [X0] :
      ( nil = skaf77(X0)
      | skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
    inference(resolution,[],[f109,f18]) ).

fof(f686,plain,
    ! [X0] :
      ( nil = skaf80(X0)
      | skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
    inference(resolution,[],[f109,f15]) ).

fof(f685,plain,
    ! [X0] :
      ( nil = skaf81(X0)
      | skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
    inference(resolution,[],[f109,f14]) ).

fof(f684,plain,
    ! [X0] :
      ( nil = skaf82(X0)
      | skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ),
    inference(resolution,[],[f109,f13]) ).

fof(f109,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(skaf83(X0),skaf82(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f643,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f104,f75]) ).

fof(f642,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f104,f85]) ).

fof(f640,plain,
    ! [X0,X1] :
      ( nil = skaf42(X0,X1)
      | skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
    inference(resolution,[],[f104,f53]) ).

fof(f639,plain,
    ! [X0,X1] :
      ( nil = skaf43(X0,X1)
      | skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
    inference(resolution,[],[f104,f52]) ).

fof(f638,plain,
    ! [X0,X1] :
      ( nil = skaf45(X0,X1)
      | skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
    inference(resolution,[],[f104,f51]) ).

fof(f637,plain,
    ! [X0,X1] :
      ( nil = skaf46(X0,X1)
      | skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
    inference(resolution,[],[f104,f50]) ).

fof(f636,plain,
    ! [X0,X1] :
      ( nil = skaf47(X0,X1)
      | skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
    inference(resolution,[],[f104,f49]) ).

fof(f635,plain,
    ! [X0,X1] :
      ( nil = skaf48(X0,X1)
      | skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
    inference(resolution,[],[f104,f48]) ).

fof(f634,plain,
    ! [X0] :
      ( nil = skaf51(X0)
      | skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
    inference(resolution,[],[f104,f44]) ).

fof(f633,plain,
    ! [X0] :
      ( nil = skaf52(X0)
      | skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
    inference(resolution,[],[f104,f43]) ).

fof(f632,plain,
    ! [X0] :
      ( nil = skaf53(X0)
      | skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
    inference(resolution,[],[f104,f42]) ).

fof(f631,plain,
    ! [X0] :
      ( nil = skaf56(X0)
      | skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
    inference(resolution,[],[f104,f39]) ).

fof(f630,plain,
    ! [X0] :
      ( nil = skaf57(X0)
      | skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
    inference(resolution,[],[f104,f38]) ).

fof(f629,plain,
    ! [X0] :
      ( nil = skaf58(X0)
      | skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
    inference(resolution,[],[f104,f37]) ).

fof(f628,plain,
    ! [X0] :
      ( nil = skaf61(X0)
      | skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
    inference(resolution,[],[f104,f34]) ).

fof(f627,plain,
    ! [X0] :
      ( nil = skaf62(X0)
      | skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
    inference(resolution,[],[f104,f33]) ).

fof(f626,plain,
    ! [X0] :
      ( nil = skaf63(X0)
      | skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
    inference(resolution,[],[f104,f32]) ).

fof(f625,plain,
    ! [X0] :
      ( nil = skaf66(X0)
      | skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
    inference(resolution,[],[f104,f29]) ).

fof(f624,plain,
    ! [X0] :
      ( nil = skaf67(X0)
      | skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
    inference(resolution,[],[f104,f28]) ).

fof(f623,plain,
    ! [X0] :
      ( nil = skaf68(X0)
      | skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
    inference(resolution,[],[f104,f27]) ).

fof(f622,plain,
    ! [X0] :
      ( nil = skaf71(X0)
      | skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
    inference(resolution,[],[f104,f24]) ).

fof(f621,plain,
    ! [X0] :
      ( nil = skaf72(X0)
      | skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
    inference(resolution,[],[f104,f23]) ).

fof(f620,plain,
    ! [X0] :
      ( nil = skaf73(X0)
      | skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
    inference(resolution,[],[f104,f22]) ).

fof(f619,plain,
    ! [X0] :
      ( nil = skaf75(X0)
      | skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
    inference(resolution,[],[f104,f20]) ).

fof(f618,plain,
    ! [X0] :
      ( nil = skaf76(X0)
      | skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
    inference(resolution,[],[f104,f19]) ).

fof(f617,plain,
    ! [X0] :
      ( nil = skaf77(X0)
      | skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
    inference(resolution,[],[f104,f18]) ).

fof(f616,plain,
    ! [X0] :
      ( nil = skaf80(X0)
      | skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
    inference(resolution,[],[f104,f15]) ).

fof(f615,plain,
    ! [X0] :
      ( nil = skaf81(X0)
      | skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
    inference(resolution,[],[f104,f14]) ).

fof(f614,plain,
    ! [X0] :
      ( nil = skaf82(X0)
      | skaf82(X0) = cons(hd(skaf82(X0)),tl(skaf82(X0))) ),
    inference(resolution,[],[f104,f13]) ).

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

fof(f327,plain,
    ! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
    inference(resolution,[],[f74,f53]) ).

fof(f326,plain,
    ! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
    inference(resolution,[],[f74,f52]) ).

fof(f325,plain,
    ! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
    inference(resolution,[],[f74,f51]) ).

fof(f324,plain,
    ! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
    inference(resolution,[],[f74,f50]) ).

fof(f323,plain,
    ! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
    inference(resolution,[],[f74,f49]) ).

fof(f322,plain,
    ! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
    inference(resolution,[],[f74,f48]) ).

fof(f290,plain,
    ! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
    inference(resolution,[],[f73,f53]) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f289,plain,
    ! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
    inference(resolution,[],[f73,f52]) ).

fof(f288,plain,
    ! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
    inference(resolution,[],[f73,f51]) ).

fof(f287,plain,
    ! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
    inference(resolution,[],[f73,f50]) ).

fof(f286,plain,
    ! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
    inference(resolution,[],[f73,f49]) ).

fof(f285,plain,
    ! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
    inference(resolution,[],[f73,f48]) ).

fof(f95,axiom,
    ! [X0] :
      ( ~ leq(skaf54(X0),skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f94,axiom,
    ! [X0] :
      ( ~ leq(skaf55(X0),skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f93,axiom,
    ! [X0] :
      ( ~ lt(skaf59(X0),skaf60(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f92,axiom,
    ! [X0] :
      ( ~ lt(skaf60(X0),skaf59(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f91,axiom,
    ! [X0] :
      ( ~ leq(skaf64(X0),skaf65(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f90,axiom,
    ! [X0] :
      ( ~ lt(skaf69(X0),skaf70(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f89,axiom,
    ! [X0] :
      ( skaf79(X0) != skaf78(X0)
      | equalelemsP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f88,axiom,
    ! [X0] :
      ( leq(skaf49(X0),skaf50(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f87,axiom,
    ! [X0] :
      ( leq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f355,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = app(app(X0,X1),nil) ),
    inference(resolution,[],[f85,f73]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = app(nil,app(X0,X1)) ),
    inference(resolution,[],[f85,f74]) ).

fof(f84,axiom,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

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

fof(f321,plain,
    ! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
    inference(resolution,[],[f74,f44]) ).

fof(f320,plain,
    ! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
    inference(resolution,[],[f74,f43]) ).

fof(f319,plain,
    ! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
    inference(resolution,[],[f74,f42]) ).

fof(f318,plain,
    ! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
    inference(resolution,[],[f74,f39]) ).

fof(f317,plain,
    ! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
    inference(resolution,[],[f74,f38]) ).

fof(f316,plain,
    ! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
    inference(resolution,[],[f74,f37]) ).

fof(f315,plain,
    ! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
    inference(resolution,[],[f74,f34]) ).

fof(f314,plain,
    ! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
    inference(resolution,[],[f74,f33]) ).

fof(f313,plain,
    ! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
    inference(resolution,[],[f74,f32]) ).

fof(f312,plain,
    ! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
    inference(resolution,[],[f74,f29]) ).

fof(f311,plain,
    ! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
    inference(resolution,[],[f74,f28]) ).

fof(f310,plain,
    ! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
    inference(resolution,[],[f74,f27]) ).

fof(f309,plain,
    ! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
    inference(resolution,[],[f74,f24]) ).

fof(f308,plain,
    ! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
    inference(resolution,[],[f74,f23]) ).

fof(f307,plain,
    ! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
    inference(resolution,[],[f74,f22]) ).

fof(f306,plain,
    ! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
    inference(resolution,[],[f74,f20]) ).

fof(f305,plain,
    ! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
    inference(resolution,[],[f74,f19]) ).

fof(f304,plain,
    ! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
    inference(resolution,[],[f74,f18]) ).

fof(f303,plain,
    ! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
    inference(resolution,[],[f74,f15]) ).

fof(f302,plain,
    ! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
    inference(resolution,[],[f74,f14]) ).

fof(f301,plain,
    ! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
    inference(resolution,[],[f74,f13]) ).

fof(f284,plain,
    ! [X0] : skaf51(X0) = app(skaf51(X0),nil),
    inference(resolution,[],[f73,f44]) ).

fof(f283,plain,
    ! [X0] : skaf52(X0) = app(skaf52(X0),nil),
    inference(resolution,[],[f73,f43]) ).

fof(f282,plain,
    ! [X0] : skaf53(X0) = app(skaf53(X0),nil),
    inference(resolution,[],[f73,f42]) ).

fof(f281,plain,
    ! [X0] : skaf56(X0) = app(skaf56(X0),nil),
    inference(resolution,[],[f73,f39]) ).

fof(f280,plain,
    ! [X0] : skaf57(X0) = app(skaf57(X0),nil),
    inference(resolution,[],[f73,f38]) ).

fof(f279,plain,
    ! [X0] : skaf58(X0) = app(skaf58(X0),nil),
    inference(resolution,[],[f73,f37]) ).

fof(f278,plain,
    ! [X0] : skaf61(X0) = app(skaf61(X0),nil),
    inference(resolution,[],[f73,f34]) ).

fof(f277,plain,
    ! [X0] : skaf62(X0) = app(skaf62(X0),nil),
    inference(resolution,[],[f73,f33]) ).

fof(f276,plain,
    ! [X0] : skaf63(X0) = app(skaf63(X0),nil),
    inference(resolution,[],[f73,f32]) ).

fof(f275,plain,
    ! [X0] : skaf66(X0) = app(skaf66(X0),nil),
    inference(resolution,[],[f73,f29]) ).

fof(f274,plain,
    ! [X0] : skaf67(X0) = app(skaf67(X0),nil),
    inference(resolution,[],[f73,f28]) ).

fof(f273,plain,
    ! [X0] : skaf68(X0) = app(skaf68(X0),nil),
    inference(resolution,[],[f73,f27]) ).

fof(f272,plain,
    ! [X0] : skaf71(X0) = app(skaf71(X0),nil),
    inference(resolution,[],[f73,f24]) ).

fof(f271,plain,
    ! [X0] : skaf72(X0) = app(skaf72(X0),nil),
    inference(resolution,[],[f73,f23]) ).

fof(f270,plain,
    ! [X0] : skaf73(X0) = app(skaf73(X0),nil),
    inference(resolution,[],[f73,f22]) ).

fof(f269,plain,
    ! [X0] : skaf75(X0) = app(skaf75(X0),nil),
    inference(resolution,[],[f73,f20]) ).

fof(f268,plain,
    ! [X0] : skaf76(X0) = app(skaf76(X0),nil),
    inference(resolution,[],[f73,f19]) ).

fof(f267,plain,
    ! [X0] : skaf77(X0) = app(skaf77(X0),nil),
    inference(resolution,[],[f73,f18]) ).

fof(f266,plain,
    ! [X0] : skaf80(X0) = app(skaf80(X0),nil),
    inference(resolution,[],[f73,f15]) ).

fof(f265,plain,
    ! [X0] : skaf81(X0) = app(skaf81(X0),nil),
    inference(resolution,[],[f73,f14]) ).

fof(f264,plain,
    ! [X0] : skaf82(X0) = app(skaf82(X0),nil),
    inference(resolution,[],[f73,f13]) ).

fof(f338,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | tl(X0) = app(tl(X0),nil) ),
    inference(resolution,[],[f75,f73]) ).

fof(f337,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | tl(X0) = app(nil,tl(X0)) ),
    inference(resolution,[],[f75,f74]) ).

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

fof(f332,plain,
    sk5 = app(nil,sk5),
    inference(resolution,[],[f74,f192]) ).

fof(f334,plain,
    sk1 = app(nil,sk1),
    inference(forward_demodulation,[],[f330,f191]) ).

fof(f330,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f188]) ).

fof(f295,plain,
    sk5 = app(sk5,nil),
    inference(resolution,[],[f73,f192]) ).

fof(f291,plain,
    sk1 = app(sk1,nil),
    inference(resolution,[],[f73,f186]) ).

fof(f297,plain,
    sk1 = app(sk1,nil),
    inference(forward_demodulation,[],[f293,f191]) ).

fof(f293,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f188]) ).

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

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

fof(f70,axiom,
    ! [X0] :
      ( cyclefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f69,axiom,
    ! [X0] :
      ( totalorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f68,axiom,
    ! [X0] :
      ( strictorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

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

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

fof(f65,axiom,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f64,axiom,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f237,plain,
    nil = app(nil,nil),
    inference(global_subsumption,[],[f194,f192,f189,f188,f186,f187,f191,f190,f193,f196,f199,f197,f195,f200,f231,f198,f11,f2,f7,f5,f1,f6,f3,f4,f10,f9,f8,f54,f12,f47,f25,f21,f17,f16,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201,f232,f202,f233,f203,f234,f82,f80,f84,f76,f78,f77,f75,f109,f104,f230,f229,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f235,f208,f236,f169,f149,f228,f131,f168,f132,f100,f118,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226]) ).

fof(f230,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f204]) ).

fof(f204,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f117]) ).

fof(f117,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | X0 != X1
      | ~ neq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f228,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f209,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

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

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f63,axiom,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f62,axiom,
    ! [X0] :
      ( leq(X0,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f60,axiom,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f59,axiom,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f58,axiom,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

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

fof(f55,axiom,
    ! [X0] :
      ( geq(X0,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

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

fof(f53,axiom,
    ! [X0,X1] : ssList(skaf42(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f52,axiom,
    ! [X0,X1] : ssList(skaf43(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f50,axiom,
    ! [X0,X1] : ssList(skaf46(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f49,axiom,
    ! [X0,X1] : ssList(skaf47(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f48,axiom,
    ! [X0,X1] : ssList(skaf48(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f234,plain,
    frontsegP(nil,nil),
    inference(global_subsumption,[],[f194,f192,f189,f188,f186,f187,f191,f190,f193,f196,f199,f197,f195,f200,f231,f198,f11,f2,f7,f5,f1,f6,f3,f4,f10,f9,f8,f54,f12,f47,f25,f21,f17,f16,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201,f232,f202,f233,f203]) ).

fof(f233,plain,
    segmentP(nil,nil),
    inference(global_subsumption,[],[f194,f192,f189,f188,f186,f187,f191,f190,f193,f196,f199,f197,f195,f200,f231,f198,f11,f2,f7,f5,f1,f6,f3,f4,f10,f9,f8,f54,f12,f47,f25,f21,f17,f16,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201,f232,f202]) ).

fof(f232,plain,
    rearsegP(nil,nil),
    inference(global_subsumption,[],[f194,f192,f189,f188,f186,f187,f191,f190,f193,f196,f199,f197,f195,f200,f231,f198,f11,f2,f7,f5,f1,f6,f3,f4,f10,f9,f8,f54,f12,f47,f25,f21,f17,f16,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201]) ).

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

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f46,axiom,
    ! [X0] : ssItem(skaf49(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f45,axiom,
    ! [X0] : ssItem(skaf50(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f44,axiom,
    ! [X0] : ssList(skaf51(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f43,axiom,
    ! [X0] : ssList(skaf52(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f42,axiom,
    ! [X0] : ssList(skaf53(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

fof(f41,axiom,
    ! [X0] : ssItem(skaf54(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).

fof(f40,axiom,
    ! [X0] : ssItem(skaf55(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).

fof(f39,axiom,
    ! [X0] : ssList(skaf56(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f38,axiom,
    ! [X0] : ssList(skaf57(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f37,axiom,
    ! [X0] : ssList(skaf58(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f36,axiom,
    ! [X0] : ssItem(skaf59(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f35,axiom,
    ! [X0] : ssItem(skaf60(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f34,axiom,
    ! [X0] : ssList(skaf61(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

fof(f33,axiom,
    ! [X0] : ssList(skaf62(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

fof(f32,axiom,
    ! [X0] : ssList(skaf63(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f31,axiom,
    ! [X0] : ssItem(skaf64(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f30,axiom,
    ! [X0] : ssItem(skaf65(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f29,axiom,
    ! [X0] : ssList(skaf66(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

fof(f28,axiom,
    ! [X0] : ssList(skaf67(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

fof(f27,axiom,
    ! [X0] : ssList(skaf68(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

fof(f26,axiom,
    ! [X0] : ssItem(skaf69(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

fof(f25,axiom,
    ! [X0] : ssItem(skaf70(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).

fof(f24,axiom,
    ! [X0] : ssList(skaf71(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

fof(f23,axiom,
    ! [X0] : ssList(skaf72(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).

fof(f22,axiom,
    ! [X0] : ssList(skaf73(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f21,axiom,
    ! [X0] : ssItem(skaf74(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).

fof(f20,axiom,
    ! [X0] : ssList(skaf75(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f19,axiom,
    ! [X0] : ssList(skaf76(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

fof(f18,axiom,
    ! [X0] : ssList(skaf77(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

fof(f17,axiom,
    ! [X0] : ssItem(skaf78(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

fof(f16,axiom,
    ! [X0] : ssItem(skaf79(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).

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

fof(f14,axiom,
    ! [X0] : ssList(skaf81(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).

fof(f239,plain,
    equalelemsP(sk1),
    inference(superposition,[],[f194,f191]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f224,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | leq(X1,X3)
      | leq(X3,X1) ),
    inference(equality_resolution,[],[f184]) ).

fof(f184,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ totalorderP(X5)
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ ssList(X5)
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | leq(X1,X3)
      | leq(X3,X1)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f223,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | lt(X1,X3)
      | lt(X3,X1) ),
    inference(equality_resolution,[],[f183]) ).

fof(f183,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ strictorderP(X5)
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ ssList(X5)
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | lt(X1,X3)
      | lt(X3,X1)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f222,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ leq(X0,X1)
      | ~ leq(X1,X0) ),
    inference(equality_resolution,[],[f185]) ).

fof(f185,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cyclefreeP(X5)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X5)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ leq(X0,X1)
      | ~ leq(X1,X0)
      | app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f221,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | leq(X1,X3) ),
    inference(equality_resolution,[],[f182]) ).

fof(f182,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ totalorderedP(X5)
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(X5)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | leq(X1,X3)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f220,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | lt(X1,X3) ),
    inference(equality_resolution,[],[f181]) ).

fof(f181,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ strictorderedP(X5)
      | ~ ssItem(X1)
      | ~ ssItem(X3)
      | ~ ssList(X5)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | lt(X1,X3)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f219,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,cons(X2,X3))))
      | ~ ssList(X0)
      | ~ ssList(X3)
      | X1 = X2 ),
    inference(equality_resolution,[],[f180]) ).

fof(f180,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equalelemsP(X4)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X3)
      | X1 = X2
      | app(X0,cons(X1,cons(X2,X3))) != X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f177,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | nil = X0
      | nil = X1
      | tl(X0) != tl(X1)
      | hd(X0) != hd(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f225,plain,
    ! [X3,X0,X1] :
      ( frontsegP(cons(X3,X0),cons(X3,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | ~ ssItem(X3) ),
    inference(duplicate_literal_removal,[],[f218]) ).

fof(f218,plain,
    ! [X3,X0,X1] :
      ( ~ ssItem(X3)
      | ~ ssItem(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | frontsegP(cons(X3,X0),cons(X3,X1)) ),
    inference(equality_resolution,[],[f178]) ).

fof(f178,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X2 != X3
      | ~ frontsegP(X0,X1)
      | frontsegP(cons(X2,X0),cons(X3,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f217,plain,
    ! [X2,X3,X0,X1] :
      ( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssItem(X1)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(equality_resolution,[],[f179]) ).

fof(f179,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ duplicatefreeP(X4)
      | ~ ssItem(X1)
      | ~ ssList(X4)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

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

fof(f153,axiom,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X1,X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ rearsegP(X0,X1)
      | rearsegP(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

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

fof(f158,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X0,X1),X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | memberP(X1,X2)
      | memberP(X0,X2)
      | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f215,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X0,cons(X1,X2)),X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f175]) ).

fof(f175,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X3)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | memberP(X3,X1)
      | app(X0,cons(X1,X2)) != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | X0 = X2
      | memberP(X1,X2)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f174,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(cons(X0,X1),cons(X2,X3))
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | frontsegP(X1,X3)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f176,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(cons(X0,X1),cons(X2,X3))
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | X0 = X2
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f171,axiom,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | X1 = X3
      | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f170,axiom,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | X0 = X2
      | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

fof(f156,axiom,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ leq(X0,X1)
      | leq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f147,axiom,
    ! [X2,X0,X1] :
      ( ~ lt(X1,X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ leq(X0,X1)
      | lt(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f155,axiom,
    ! [X2,X0,X1] :
      ( ~ lt(X1,X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ lt(X0,X1)
      | lt(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

fof(f148,axiom,
    ! [X2,X0,X1] :
      ( ~ geq(X1,X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ geq(X0,X1)
      | geq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f146,axiom,
    ! [X2,X0,X1] :
      ( ~ gt(X1,X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ gt(X0,X1)
      | gt(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f159,axiom,
    ! [X0,X1] :
      ( ~ leq(X0,hd(X1))
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | nil = X1
      | ~ totalorderedP(X1)
      | totalorderedP(cons(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,axiom,
    ! [X0,X1] :
      ( ~ lt(X0,hd(X1))
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | nil = X1
      | ~ strictorderedP(X1)
      | strictorderedP(cons(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

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

fof(f226,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f214,plain,
    ( ~ ssList(nil)
    | ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(equality_resolution,[],[f213]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | nil != X0
      | nil = app(X0,nil) ),
    inference(equality_resolution,[],[f145]) ).

fof(f145,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil != X1
      | nil != X0
      | nil = app(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

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

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

fof(f136,axiom,
    ! [X2,X0,X1] :
      ( rearsegP(app(X2,X0),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f135,axiom,
    ! [X0,X1] :
      ( ~ totalorderedP(cons(X0,X1))
      | ~ ssList(X1)
      | nil = X1
      | ~ ssItem(X0)
      | leq(X0,hd(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f134,axiom,
    ! [X0,X1] :
      ( ~ strictorderedP(cons(X0,X1))
      | ~ ssList(X1)
      | nil = X1
      | ~ ssItem(X0)
      | lt(X0,hd(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).

fof(f124,axiom,
    ! [X0,X1] :
      ( ~ strictorderedP(cons(X0,X1))
      | ~ ssList(X1)
      | strictorderedP(X1)
      | nil = X1
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f130,axiom,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ leq(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f126,axiom,
    ! [X0,X1] :
      ( ~ geq(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ geq(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f139,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X2,X0),X1)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1
      | hd(app(X1,X0)) = hd(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f132,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f131,axiom,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(skaf46(X0,X1),X1) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

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

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f236,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | totalorderedP(cons(X1,nil)) ),
    inference(global_subsumption,[],[f194,f192,f189,f188,f186,f187,f191,f190,f193,f196,f199,f197,f195,f200,f231,f198,f11,f2,f7,f5,f1,f6,f3,f4,f10,f9,f8,f54,f12,f47,f25,f21,f17,f16,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201,f232,f202,f233,f203,f234,f82,f80,f84,f76,f78,f77,f75,f109,f104,f230,f229,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f235,f208]) ).

fof(f208,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ ssList(nil)
      | totalorderedP(cons(X1,nil)) ),
    inference(equality_resolution,[],[f113]) ).

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

fof(f235,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | strictorderedP(cons(X1,nil)) ),
    inference(global_subsumption,[],[f194,f192,f189,f188,f186,f187,f191,f190,f193,f196,f199,f197,f195,f200,f231,f198,f11,f2,f7,f5,f1,f6,f3,f4,f10,f9,f8,f54,f12,f47,f25,f21,f17,f16,f26,f30,f31,f45,f35,f36,f40,f41,f46,f39,f38,f37,f42,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f51,f52,f53,f50,f49,f48,f71,f63,f55,f62,f65,f70,f64,f69,f68,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f162,f89,f93,f92,f95,f94,f87,f88,f142,f167,f166,f165,f90,f91,f164,f163,f201,f232,f202,f233,f203,f234,f82,f80,f84,f76,f78,f77,f75,f109,f104,f230,f229,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207]) ).

fof(f207,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ ssList(nil)
      | strictorderedP(cons(X1,nil)) ),
    inference(equality_resolution,[],[f112]) ).

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

fof(f157,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f229,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ lt(X1,X1) ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f205,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ lt(X1,X1) ),
    inference(equality_resolution,[],[f111]) ).

fof(f111,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | X0 != X1
      | ~ lt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f77,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssList(tl(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f203,plain,
    ( ~ ssList(nil)
    | frontsegP(nil,nil) ),
    inference(equality_resolution,[],[f83]) ).

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

fof(f202,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

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

fof(f201,plain,
    ( ~ ssList(nil)
    | rearsegP(nil,nil) ),
    inference(equality_resolution,[],[f81]) ).

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

fof(f163,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | strictorderedP(X0)
      | app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | totalorderedP(X0)
      | app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

fof(f165,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | strictorderP(X0)
      | app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | totalorderP(X0)
      | app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | cyclefreeP(X0)
      | app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

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(f162,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

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

fof(f195,axiom,
    ! [X8,X6,X7] :
      ( ~ ssItem(X6)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk5 != app(cons(X6,nil),X7)
      | sk3 != app(X8,cons(X6,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

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

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ totalorderedP(cons(X0,X1))
      | ~ ssList(X1)
      | totalorderedP(X1)
      | nil = X1
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f2222,plain,
    ( spl0_37
    | spl0_38
    | ~ spl0_39
    | ~ spl0_5
    | spl0_10
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f2134,f1490,f867,f662,f2219,f2215,f2211]) ).

fof(f2215,plain,
    ( spl0_38
  <=> strictorderedP(tl(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2219,plain,
    ( spl0_39
  <=> strictorderedP(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2134,plain,
    ( ~ strictorderedP(sk1)
    | strictorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ spl0_5
    | spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f2133,f1491]) ).

fof(f2133,plain,
    ( ~ strictorderedP(sk1)
    | strictorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ ssItem(hd(sk1))
    | ~ spl0_5
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2124,f663]) ).

fof(f2124,plain,
    ( ~ strictorderedP(sk1)
    | ~ ssList(tl(sk1))
    | strictorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ ssItem(hd(sk1))
    | spl0_10 ),
    inference(superposition,[],[f124,f1516]) ).

fof(f2209,plain,
    ( spl0_35
    | ~ spl0_36
    | spl0_2
    | ~ spl0_15
    | ~ spl0_25
    | spl0_30 ),
    inference(avatar_split_clause,[],[f2183,f2158,f1536,f1042,f249,f2206,f2202]) ).

fof(f2202,plain,
    ( spl0_35
  <=> totalorderedP(tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2206,plain,
    ( spl0_36
  <=> totalorderedP(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1536,plain,
    ( spl0_25
  <=> ssItem(hd(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f2158,plain,
    ( spl0_30
  <=> nil = tl(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2183,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(tl(sk2))
    | spl0_2
    | ~ spl0_15
    | ~ spl0_25
    | spl0_30 ),
    inference(global_subsumption,[],[f193,f196,f195,f200,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f77,f229,f157,f207,f235,f208,f236,f169,f149,f131,f168,f132,f123,f133,f139,f126,f130,f141,f140,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f194,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f239,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f232,f233,f234,f242,f48,f49,f50,f51,f52,f53,f197,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f228,f230,f237,f64,f65,f66,f67,f68,f69,f70,f72,f73,f297,f291,f295,f74,f334,f328,f332,f75,f337,f338,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f354,f355,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f100,f101,f290,f322,f323,f324,f325,f326,f327,f104,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f642,f643,f109,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f712,f713,f719,f648,f118,f199,f855,f856,f716,f857,f645,f198,f335,f298,f250,f292,f329,f243,f905,f119,f1034,f1043,f1056,f1057,f1054,f1055,f1093,f122,f78,f76,f86,f1353,f1354,f1355,f1356,f945,f98,f99,f1461,f227,f1473,f231,f644,f715,f831,f834,f1457,f96,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f1562,f1563,f1564,f1565,f1537,f97,f1661,f1662,f1663,f1664,f1665,f1666,f1667,f1668,f1669,f1670,f1671,f1672,f1673,f1674,f1675,f1676,f1677,f1678,f1568,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1727,f1728,f1688,f1722,f1723,f1726,f102,f103,f105,f106,f107,f1834,f1836,f1838,f1689,f1690,f1691,f1692,f1693,f1694,f1695,f1696,f108,f1870,f1872,f1697,f1698,f1699,f1700,f1701,f1702,f1703,f1704,f1705,f1706,f1707,f110,f1896,f1708,f1709,f114,f206,f1962,f120,f1974,f1975,f1976,f1977,f1978,f1979,f1980,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1993,f1680,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2035,f2036,f1996,f2030,f2031,f2034,f1997,f1998,f1999,f121,f2051,f2054,f2056,f2058,f2000,f2001,f2002,f2003,f2004,f2005,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f124,f2138,f2132,f2159,f125,f2182]) ).

fof(f2182,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(tl(sk2))
    | nil = tl(sk2)
    | spl0_2
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f2181,f1537]) ).

fof(f2181,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(tl(sk2))
    | nil = tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_2
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2172,f1043]) ).

fof(f2172,plain,
    ( ~ totalorderedP(sk2)
    | ~ ssList(tl(sk2))
    | totalorderedP(tl(sk2))
    | nil = tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_2 ),
    inference(superposition,[],[f125,f1034]) ).

fof(f2159,plain,
    ( nil != tl(sk2)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f2158]) ).

fof(f2132,plain,
    ( ~ strictorderedP(sk2)
    | strictorderedP(tl(sk2))
    | nil = tl(sk2)
    | spl0_2
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f2131,f1537]) ).

fof(f2131,plain,
    ( ~ strictorderedP(sk2)
    | strictorderedP(tl(sk2))
    | nil = tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_2
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f2123,f1043]) ).

fof(f2123,plain,
    ( ~ strictorderedP(sk2)
    | ~ ssList(tl(sk2))
    | strictorderedP(tl(sk2))
    | nil = tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_2 ),
    inference(superposition,[],[f124,f1034]) ).

fof(f2138,plain,
    ( ~ strictorderedP(sk2)
    | strictorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f2137,f12]) ).

fof(f2137,plain,
    ( ~ strictorderedP(sk2)
    | strictorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | ~ ssItem(skaf83(sk2))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f2126,f13]) ).

fof(f2126,plain,
    ( ~ strictorderedP(sk2)
    | ~ ssList(skaf82(sk2))
    | strictorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | ~ ssItem(skaf83(sk2))
    | spl0_2 ),
    inference(superposition,[],[f124,f1093]) ).

fof(f2017,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf51(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f44]) ).

fof(f2016,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf52(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f43]) ).

fof(f2015,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf53(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f42]) ).

fof(f2014,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf56(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f39]) ).

fof(f2013,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf57(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f38]) ).

fof(f2012,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf58(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f37]) ).

fof(f2011,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf61(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f34]) ).

fof(f2010,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf62(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f33]) ).

fof(f2009,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf63(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f32]) ).

fof(f2008,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf66(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f29]) ).

fof(f2007,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf67(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f28]) ).

fof(f2006,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf68(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f27]) ).

fof(f2005,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf71(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f24]) ).

fof(f2004,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf72(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f23]) ).

fof(f2003,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf73(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f22]) ).

fof(f2002,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf75(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f20]) ).

fof(f2001,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf76(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f19]) ).

fof(f2000,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf77(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f18]) ).

fof(f2058,plain,
    ! [X0] :
      ( ~ leq(skaf59(X0),skaf60(X0))
      | skaf60(X0) = skaf59(X0)
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2057,f35]) ).

fof(f2057,plain,
    ! [X0] :
      ( ~ leq(skaf59(X0),skaf60(X0))
      | skaf60(X0) = skaf59(X0)
      | ~ ssItem(skaf60(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2049,f36]) ).

fof(f2049,plain,
    ! [X0] :
      ( ~ ssItem(skaf59(X0))
      | ~ leq(skaf59(X0),skaf60(X0))
      | skaf60(X0) = skaf59(X0)
      | ~ ssItem(skaf60(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f121,f93]) ).

fof(f2056,plain,
    ! [X0] :
      ( ~ leq(skaf60(X0),skaf59(X0))
      | skaf60(X0) = skaf59(X0)
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2055,f36]) ).

fof(f2055,plain,
    ! [X0] :
      ( ~ leq(skaf60(X0),skaf59(X0))
      | skaf60(X0) = skaf59(X0)
      | ~ ssItem(skaf59(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2048,f35]) ).

fof(f2048,plain,
    ! [X0] :
      ( ~ ssItem(skaf60(X0))
      | ~ leq(skaf60(X0),skaf59(X0))
      | skaf60(X0) = skaf59(X0)
      | ~ ssItem(skaf59(X0))
      | strictorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f121,f92]) ).

fof(f2054,plain,
    ! [X0] :
      ( ~ leq(skaf69(X0),skaf70(X0))
      | skaf70(X0) = skaf69(X0)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2053,f25]) ).

fof(f2053,plain,
    ! [X0] :
      ( ~ leq(skaf69(X0),skaf70(X0))
      | skaf70(X0) = skaf69(X0)
      | ~ ssItem(skaf70(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2047,f26]) ).

fof(f2047,plain,
    ! [X0] :
      ( ~ ssItem(skaf69(X0))
      | ~ leq(skaf69(X0),skaf70(X0))
      | skaf70(X0) = skaf69(X0)
      | ~ ssItem(skaf70(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f121,f90]) ).

fof(f2051,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ leq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ lt(X1,X0) ),
    inference(duplicate_literal_removal,[],[f2045]) ).

fof(f2045,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ leq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ lt(X1,X0) ),
    inference(resolution,[],[f121,f114]) ).

fof(f1999,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf80(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f15]) ).

fof(f1998,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf81(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f14]) ).

fof(f1997,plain,
    ( ! [X0] : hd(sk2) = hd(cons(hd(sk2),skaf82(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f13]) ).

fof(f2034,plain,
    ( hd(sk2) = hd(cons(hd(sk2),sk5))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f192]) ).

fof(f2031,plain,
    ( hd(sk2) = hd(cons(hd(sk2),sk2))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f187]) ).

fof(f2030,plain,
    ( hd(sk2) = hd(cons(hd(sk2),sk1))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f186]) ).

fof(f1996,plain,
    ( hd(sk2) = hd(cons(hd(sk2),nil))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f8]) ).

fof(f2036,plain,
    ( hd(sk2) = hd(cons(hd(sk2),sk2))
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f2033,f190]) ).

fof(f2033,plain,
    ( hd(sk2) = hd(cons(hd(sk2),sk4))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f189]) ).

fof(f2035,plain,
    ( hd(sk2) = hd(cons(hd(sk2),sk1))
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f2032,f191]) ).

fof(f2032,plain,
    ( hd(sk2) = hd(cons(hd(sk2),sk3))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f188]) ).

fof(f2026,plain,
    ( ! [X0] :
        ( hd(sk2) = hd(cons(hd(sk2),tl(X0)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f75]) ).

fof(f2025,plain,
    ( ! [X0,X1] :
        ( hd(sk2) = hd(cons(hd(sk2),app(X0,X1)))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f85]) ).

fof(f2024,plain,
    ( ! [X0,X1] :
        ( hd(sk2) = hd(cons(hd(sk2),cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f86]) ).

fof(f2023,plain,
    ( ! [X0,X1] : hd(sk2) = hd(cons(hd(sk2),skaf42(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f53]) ).

fof(f2022,plain,
    ( ! [X0,X1] : hd(sk2) = hd(cons(hd(sk2),skaf43(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f52]) ).

fof(f2021,plain,
    ( ! [X0,X1] : hd(sk2) = hd(cons(hd(sk2),skaf45(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f51]) ).

fof(f2020,plain,
    ( ! [X0,X1] : hd(sk2) = hd(cons(hd(sk2),skaf46(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f50]) ).

fof(f2019,plain,
    ( ! [X0,X1] : hd(sk2) = hd(cons(hd(sk2),skaf47(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f49]) ).

fof(f2018,plain,
    ( ! [X0,X1] : hd(sk2) = hd(cons(hd(sk2),skaf48(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1680,f48]) ).

fof(f1680,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | hd(sk2) = hd(cons(hd(sk2),X0)) )
    | ~ spl0_25 ),
    inference(resolution,[],[f97,f1537]) ).

fof(f1993,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(hd(sk2),X0) = app(cons(hd(sk2),nil),X0) )
    | ~ spl0_25 ),
    inference(resolution,[],[f120,f1537]) ).

fof(f1991,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(hd(X1),X0) = app(cons(hd(X1),nil),X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f120,f76]) ).

fof(f1990,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf44(X1),X0) = app(cons(skaf44(X1),nil),X0) ),
    inference(resolution,[],[f120,f47]) ).

fof(f1989,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf49(X1),X0) = app(cons(skaf49(X1),nil),X0) ),
    inference(resolution,[],[f120,f46]) ).

fof(f1988,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf50(X1),X0) = app(cons(skaf50(X1),nil),X0) ),
    inference(resolution,[],[f120,f45]) ).

fof(f1987,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf54(X1),X0) = app(cons(skaf54(X1),nil),X0) ),
    inference(resolution,[],[f120,f41]) ).

fof(f1986,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf55(X1),X0) = app(cons(skaf55(X1),nil),X0) ),
    inference(resolution,[],[f120,f40]) ).

fof(f1985,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf59(X1),X0) = app(cons(skaf59(X1),nil),X0) ),
    inference(resolution,[],[f120,f36]) ).

fof(f1984,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf60(X1),X0) = app(cons(skaf60(X1),nil),X0) ),
    inference(resolution,[],[f120,f35]) ).

fof(f1983,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf64(X1),X0) = app(cons(skaf64(X1),nil),X0) ),
    inference(resolution,[],[f120,f31]) ).

fof(f1982,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf65(X1),X0) = app(cons(skaf65(X1),nil),X0) ),
    inference(resolution,[],[f120,f30]) ).

fof(f1981,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf69(X1),X0) = app(cons(skaf69(X1),nil),X0) ),
    inference(resolution,[],[f120,f26]) ).

fof(f1980,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf70(X1),X0) = app(cons(skaf70(X1),nil),X0) ),
    inference(resolution,[],[f120,f25]) ).

fof(f1979,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf74(X1),X0) = app(cons(skaf74(X1),nil),X0) ),
    inference(resolution,[],[f120,f21]) ).

fof(f1978,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf78(X1),X0) = app(cons(skaf78(X1),nil),X0) ),
    inference(resolution,[],[f120,f17]) ).

fof(f1977,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf79(X1),X0) = app(cons(skaf79(X1),nil),X0) ),
    inference(resolution,[],[f120,f16]) ).

fof(f1976,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(skaf83(X1),X0) = app(cons(skaf83(X1),nil),X0) ),
    inference(resolution,[],[f120,f12]) ).

fof(f1975,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(skac2,X0) = app(cons(skac2,nil),X0) ),
    inference(resolution,[],[f120,f10]) ).

fof(f1974,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(skac3,X0) = app(cons(skac3,nil),X0) ),
    inference(resolution,[],[f120,f9]) ).

fof(f1962,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
    inference(duplicate_literal_removal,[],[f1961]) ).

fof(f1961,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
    inference(resolution,[],[f206,f101]) ).

fof(f1709,plain,
    ( ! [X0] : skaf51(X0) = tl(cons(hd(sk2),skaf51(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f44]) ).

fof(f1708,plain,
    ( ! [X0] : skaf52(X0) = tl(cons(hd(sk2),skaf52(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f43]) ).

fof(f1896,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1)
      | ~ lt(X0,X1) ),
    inference(duplicate_literal_removal,[],[f1895]) ).

fof(f1895,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1)
      | ~ ssItem(X1)
      | ~ lt(X0,X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f110,f106]) ).

fof(f1707,plain,
    ( ! [X0] : skaf53(X0) = tl(cons(hd(sk2),skaf53(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f42]) ).

fof(f1706,plain,
    ( ! [X0] : skaf56(X0) = tl(cons(hd(sk2),skaf56(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f39]) ).

fof(f1705,plain,
    ( ! [X0] : skaf57(X0) = tl(cons(hd(sk2),skaf57(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f38]) ).

fof(f1704,plain,
    ( ! [X0] : skaf58(X0) = tl(cons(hd(sk2),skaf58(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f37]) ).

fof(f1703,plain,
    ( ! [X0] : skaf61(X0) = tl(cons(hd(sk2),skaf61(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f34]) ).

fof(f1702,plain,
    ( ! [X0] : skaf62(X0) = tl(cons(hd(sk2),skaf62(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f33]) ).

fof(f1701,plain,
    ( ! [X0] : skaf63(X0) = tl(cons(hd(sk2),skaf63(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f32]) ).

fof(f1700,plain,
    ( ! [X0] : skaf66(X0) = tl(cons(hd(sk2),skaf66(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f29]) ).

fof(f1699,plain,
    ( ! [X0] : skaf67(X0) = tl(cons(hd(sk2),skaf67(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f28]) ).

fof(f1698,plain,
    ( ! [X0] : skaf68(X0) = tl(cons(hd(sk2),skaf68(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f27]) ).

fof(f1697,plain,
    ( ! [X0] : skaf71(X0) = tl(cons(hd(sk2),skaf71(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f24]) ).

fof(f1872,plain,
    ! [X0] :
      ( geq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1871,f46]) ).

fof(f1871,plain,
    ! [X0] :
      ( ~ ssItem(skaf49(X0))
      | geq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1865,f45]) ).

fof(f1865,plain,
    ! [X0] :
      ( ~ ssItem(skaf50(X0))
      | ~ ssItem(skaf49(X0))
      | geq(skaf50(X0),skaf49(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f108,f88]) ).

fof(f1870,plain,
    ! [X0] :
      ( geq(skaf49(X0),skaf50(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1869,f45]) ).

fof(f1869,plain,
    ! [X0] :
      ( ~ ssItem(skaf50(X0))
      | geq(skaf49(X0),skaf50(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1863,f46]) ).

fof(f1863,plain,
    ! [X0] :
      ( ~ ssItem(skaf49(X0))
      | ~ ssItem(skaf50(X0))
      | geq(skaf49(X0),skaf50(X0))
      | cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f108,f87]) ).

fof(f1696,plain,
    ( ! [X0] : skaf72(X0) = tl(cons(hd(sk2),skaf72(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f23]) ).

fof(f1695,plain,
    ( ! [X0] : skaf73(X0) = tl(cons(hd(sk2),skaf73(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f22]) ).

fof(f1694,plain,
    ( ! [X0] : skaf75(X0) = tl(cons(hd(sk2),skaf75(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f20]) ).

fof(f1693,plain,
    ( ! [X0] : skaf76(X0) = tl(cons(hd(sk2),skaf76(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f19]) ).

fof(f1692,plain,
    ( ! [X0] : skaf77(X0) = tl(cons(hd(sk2),skaf77(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f18]) ).

fof(f1691,plain,
    ( ! [X0] : skaf80(X0) = tl(cons(hd(sk2),skaf80(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f15]) ).

fof(f1690,plain,
    ( ! [X0] : skaf81(X0) = tl(cons(hd(sk2),skaf81(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f14]) ).

fof(f1689,plain,
    ( ! [X0] : skaf82(X0) = tl(cons(hd(sk2),skaf82(X0)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f13]) ).

fof(f1838,plain,
    ! [X0] :
      ( ~ geq(skaf55(X0),skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1837,f41]) ).

fof(f1837,plain,
    ! [X0] :
      ( ~ geq(skaf55(X0),skaf54(X0))
      | ~ ssItem(skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1832,f40]) ).

fof(f1832,plain,
    ! [X0] :
      ( ~ ssItem(skaf55(X0))
      | ~ geq(skaf55(X0),skaf54(X0))
      | ~ ssItem(skaf54(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f107,f95]) ).

fof(f1836,plain,
    ! [X0] :
      ( ~ geq(skaf54(X0),skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1835,f40]) ).

fof(f1835,plain,
    ! [X0] :
      ( ~ geq(skaf54(X0),skaf55(X0))
      | ~ ssItem(skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1831,f41]) ).

fof(f1831,plain,
    ! [X0] :
      ( ~ ssItem(skaf54(X0))
      | ~ geq(skaf54(X0),skaf55(X0))
      | ~ ssItem(skaf55(X0))
      | totalorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f107,f94]) ).

fof(f1834,plain,
    ! [X0] :
      ( ~ geq(skaf65(X0),skaf64(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1833,f31]) ).

fof(f1833,plain,
    ! [X0] :
      ( ~ geq(skaf65(X0),skaf64(X0))
      | ~ ssItem(skaf64(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1830,f30]) ).

fof(f1830,plain,
    ! [X0] :
      ( ~ ssItem(skaf65(X0))
      | ~ geq(skaf65(X0),skaf64(X0))
      | ~ ssItem(skaf64(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f107,f91]) ).

fof(f1726,plain,
    ( sk5 = tl(cons(hd(sk2),sk5))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f192]) ).

fof(f1723,plain,
    ( sk2 = tl(cons(hd(sk2),sk2))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f187]) ).

fof(f1722,plain,
    ( sk1 = tl(cons(hd(sk2),sk1))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f186]) ).

fof(f1688,plain,
    ( nil = tl(cons(hd(sk2),nil))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f8]) ).

fof(f1728,plain,
    ( sk2 = tl(cons(hd(sk2),sk2))
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1725,f190]) ).

fof(f1725,plain,
    ( sk4 = tl(cons(hd(sk2),sk4))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f189]) ).

fof(f1727,plain,
    ( sk1 = tl(cons(hd(sk2),sk1))
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f1724,f191]) ).

fof(f1724,plain,
    ( sk3 = tl(cons(hd(sk2),sk3))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f188]) ).

fof(f1718,plain,
    ( ! [X0] :
        ( tl(X0) = tl(cons(hd(sk2),tl(X0)))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f75]) ).

fof(f1717,plain,
    ( ! [X0,X1] :
        ( app(X0,X1) = tl(cons(hd(sk2),app(X0,X1)))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f85]) ).

fof(f1716,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) = tl(cons(hd(sk2),cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f86]) ).

fof(f1715,plain,
    ( ! [X0,X1] : skaf42(X0,X1) = tl(cons(hd(sk2),skaf42(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f53]) ).

fof(f1714,plain,
    ( ! [X0,X1] : skaf43(X0,X1) = tl(cons(hd(sk2),skaf43(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f52]) ).

fof(f1713,plain,
    ( ! [X0,X1] : skaf45(X0,X1) = tl(cons(hd(sk2),skaf45(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f51]) ).

fof(f1712,plain,
    ( ! [X0,X1] : skaf46(X0,X1) = tl(cons(hd(sk2),skaf46(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f50]) ).

fof(f1711,plain,
    ( ! [X0,X1] : skaf47(X0,X1) = tl(cons(hd(sk2),skaf47(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f49]) ).

fof(f1710,plain,
    ( ! [X0,X1] : skaf48(X0,X1) = tl(cons(hd(sk2),skaf48(X0,X1)))
    | ~ spl0_25 ),
    inference(resolution,[],[f1568,f48]) ).

fof(f1568,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | tl(cons(hd(sk2),X0)) = X0 )
    | ~ spl0_25 ),
    inference(resolution,[],[f1537,f96]) ).

fof(f1678,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | hd(X1) = hd(cons(hd(X1),X0))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f97,f76]) ).

fof(f1677,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
    inference(resolution,[],[f97,f47]) ).

fof(f1676,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
    inference(resolution,[],[f97,f46]) ).

fof(f1675,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
    inference(resolution,[],[f97,f45]) ).

fof(f1674,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
    inference(resolution,[],[f97,f41]) ).

fof(f1673,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
    inference(resolution,[],[f97,f40]) ).

fof(f1672,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
    inference(resolution,[],[f97,f36]) ).

fof(f1671,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
    inference(resolution,[],[f97,f35]) ).

fof(f1670,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
    inference(resolution,[],[f97,f31]) ).

fof(f1669,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
    inference(resolution,[],[f97,f30]) ).

fof(f1668,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
    inference(resolution,[],[f97,f26]) ).

fof(f1667,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
    inference(resolution,[],[f97,f25]) ).

fof(f1666,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
    inference(resolution,[],[f97,f21]) ).

fof(f1665,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
    inference(resolution,[],[f97,f17]) ).

fof(f1664,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
    inference(resolution,[],[f97,f16]) ).

fof(f1663,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
    inference(resolution,[],[f97,f12]) ).

fof(f1662,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | skac2 = hd(cons(skac2,X0)) ),
    inference(resolution,[],[f97,f10]) ).

fof(f1661,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | skac3 = hd(cons(skac3,X0)) ),
    inference(resolution,[],[f97,f9]) ).

fof(f1537,plain,
    ( ssItem(hd(sk2))
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f1536]) ).

fof(f1565,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(hd(X1),X0)) = X0
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f96,f76]) ).

fof(f1564,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf44(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f47]) ).

fof(f1563,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf49(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f46]) ).

fof(f1562,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf50(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f45]) ).

fof(f1561,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf54(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f41]) ).

fof(f1560,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf55(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f40]) ).

fof(f1559,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf59(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f36]) ).

fof(f1558,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf60(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f35]) ).

fof(f1557,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf64(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f31]) ).

fof(f1556,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf65(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f30]) ).

fof(f1555,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf69(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f26]) ).

fof(f1554,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf70(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f25]) ).

fof(f1553,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf74(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f21]) ).

fof(f1552,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf78(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f17]) ).

fof(f1551,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf79(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f16]) ).

fof(f1550,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | tl(cons(skaf83(X1),X0)) = X0 ),
    inference(resolution,[],[f96,f12]) ).

fof(f1549,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(cons(skac2,X0)) = X0 ),
    inference(resolution,[],[f96,f10]) ).

fof(f1548,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(cons(skac3,X0)) = X0 ),
    inference(resolution,[],[f96,f9]) ).

fof(f1457,plain,
    ( sk2 != tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_2
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1451,f1043]) ).

fof(f1451,plain,
    ( sk2 != tl(sk2)
    | ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | spl0_2 ),
    inference(superposition,[],[f99,f1034]) ).

fof(f1473,plain,
    ( memberP(sk2,skaf83(sk2))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1472,f12]) ).

fof(f1472,plain,
    ( memberP(sk2,skaf83(sk2))
    | ~ ssItem(skaf83(sk2))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1468,f13]) ).

fof(f1468,plain,
    ( memberP(sk2,skaf83(sk2))
    | ~ ssList(skaf82(sk2))
    | ~ ssItem(skaf83(sk2))
    | spl0_2 ),
    inference(superposition,[],[f227,f1093]) ).

fof(f1461,plain,
    ( sk2 != skaf82(sk2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1460,f12]) ).

fof(f1460,plain,
    ( sk2 != skaf82(sk2)
    | ~ ssItem(skaf83(sk2))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1453,f13]) ).

fof(f1453,plain,
    ( sk2 != skaf82(sk2)
    | ~ ssList(skaf82(sk2))
    | ~ ssItem(skaf83(sk2))
    | spl0_2 ),
    inference(superposition,[],[f99,f1093]) ).

fof(f1093,plain,
    ( sk2 = cons(skaf83(sk2),skaf82(sk2))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f716,f250]) ).

fof(f1055,plain,
    ( tl(sk2) = app(nil,tl(sk2))
    | ~ spl0_15 ),
    inference(resolution,[],[f1043,f74]) ).

fof(f1054,plain,
    ( tl(sk2) = app(tl(sk2),nil)
    | ~ spl0_15 ),
    inference(resolution,[],[f1043,f73]) ).

fof(f1057,plain,
    ( nil = tl(sk2)
    | tl(sk2) = cons(skaf83(tl(sk2)),skaf82(tl(sk2)))
    | ~ spl0_15 ),
    inference(resolution,[],[f1043,f109]) ).

fof(f1056,plain,
    ( nil = tl(sk2)
    | tl(sk2) = cons(hd(tl(sk2)),tl(tl(sk2)))
    | ~ spl0_15 ),
    inference(resolution,[],[f1043,f104]) ).

fof(f1034,plain,
    ( sk2 = cons(hd(sk2),tl(sk2))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f645,f250]) ).

fof(f2200,plain,
    ( spl0_33
    | ~ spl0_34
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_21
    | spl0_27 ),
    inference(avatar_split_clause,[],[f2180,f2145,f1477,f874,f749,f2197,f2193]) ).

fof(f2193,plain,
    ( spl0_33
  <=> totalorderedP(tl(sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2197,plain,
    ( spl0_34
  <=> totalorderedP(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f749,plain,
    ( spl0_7
  <=> sk5 = cons(hd(sk5),tl(sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f874,plain,
    ( spl0_11
  <=> ssList(tl(sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1477,plain,
    ( spl0_21
  <=> ssItem(hd(sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f2145,plain,
    ( spl0_27
  <=> nil = tl(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2180,plain,
    ( ~ totalorderedP(sk5)
    | totalorderedP(tl(sk5))
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_21
    | spl0_27 ),
    inference(subsumption_resolution,[],[f2179,f1478]) ).

fof(f1478,plain,
    ( ssItem(hd(sk5))
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f1477]) ).

fof(f2179,plain,
    ( ~ totalorderedP(sk5)
    | totalorderedP(tl(sk5))
    | ~ ssItem(hd(sk5))
    | ~ spl0_7
    | ~ spl0_11
    | spl0_27 ),
    inference(subsumption_resolution,[],[f2178,f2146]) ).

fof(f2146,plain,
    ( nil != tl(sk5)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f2145]) ).

fof(f2178,plain,
    ( ~ totalorderedP(sk5)
    | totalorderedP(tl(sk5))
    | nil = tl(sk5)
    | ~ ssItem(hd(sk5))
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2171,f875]) ).

fof(f875,plain,
    ( ssList(tl(sk5))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f2171,plain,
    ( ~ totalorderedP(sk5)
    | ~ ssList(tl(sk5))
    | totalorderedP(tl(sk5))
    | nil = tl(sk5)
    | ~ ssItem(hd(sk5))
    | ~ spl0_7 ),
    inference(superposition,[],[f125,f751]) ).

fof(f751,plain,
    ( sk5 = cons(hd(sk5),tl(sk5))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f2169,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_32
    | spl0_2
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2132,f1536,f1042,f249,f2166,f2162,f2158]) ).

fof(f2162,plain,
    ( spl0_31
  <=> strictorderedP(tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2166,plain,
    ( spl0_32
  <=> strictorderedP(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2156,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_29
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f2130,f1477,f874,f749,f2153,f2149,f2145]) ).

fof(f2149,plain,
    ( spl0_28
  <=> strictorderedP(tl(sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2153,plain,
    ( spl0_29
  <=> strictorderedP(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2130,plain,
    ( ~ strictorderedP(sk5)
    | strictorderedP(tl(sk5))
    | nil = tl(sk5)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f2129,f1478]) ).

fof(f2129,plain,
    ( ~ strictorderedP(sk5)
    | strictorderedP(tl(sk5))
    | nil = tl(sk5)
    | ~ ssItem(hd(sk5))
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2122,f875]) ).

fof(f2122,plain,
    ( ~ strictorderedP(sk5)
    | ~ ssList(tl(sk5))
    | strictorderedP(tl(sk5))
    | nil = tl(sk5)
    | ~ ssItem(hd(sk5))
    | ~ spl0_7 ),
    inference(superposition,[],[f124,f751]) ).

fof(f1547,plain,
    ( spl0_2
    | spl0_25 ),
    inference(avatar_contradiction_clause,[],[f1546]) ).

fof(f1546,plain,
    ( $false
    | spl0_2
    | spl0_25 ),
    inference(subsumption_resolution,[],[f1545,f187]) ).

fof(f1545,plain,
    ( ~ ssList(sk2)
    | spl0_2
    | spl0_25 ),
    inference(subsumption_resolution,[],[f1544,f250]) ).

fof(f1544,plain,
    ( nil = sk2
    | ~ ssList(sk2)
    | spl0_25 ),
    inference(resolution,[],[f1538,f76]) ).

fof(f1538,plain,
    ( ~ ssItem(hd(sk2))
    | spl0_25 ),
    inference(avatar_component_clause,[],[f1536]) ).

fof(f1543,plain,
    ( ~ spl0_25
    | ~ spl0_26
    | spl0_2
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1457,f1042,f249,f1540,f1536]) ).

fof(f1540,plain,
    ( spl0_26
  <=> sk2 = tl(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1514,plain,
    ( spl0_2
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1513]) ).

fof(f1513,plain,
    ( $false
    | spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1509,f250]) ).

fof(f1509,plain,
    ( nil = sk2
    | ~ spl0_9 ),
    inference(superposition,[],[f190,f865]) ).

fof(f865,plain,
    ( nil = sk4
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f863,plain,
    ( spl0_9
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1512,plain,
    ( spl0_2
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1511]) ).

fof(f1511,plain,
    ( $false
    | spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1508,f250]) ).

fof(f1508,plain,
    ( nil = sk2
    | ~ spl0_9 ),
    inference(superposition,[],[f865,f190]) ).

fof(f1501,plain,
    ( spl0_10
    | spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1500]) ).

fof(f1500,plain,
    ( $false
    | spl0_10
    | spl0_23 ),
    inference(subsumption_resolution,[],[f1499,f186]) ).

fof(f1499,plain,
    ( ~ ssList(sk1)
    | spl0_10
    | spl0_23 ),
    inference(subsumption_resolution,[],[f1498,f869]) ).

fof(f1498,plain,
    ( nil = sk1
    | ~ ssList(sk1)
    | spl0_23 ),
    inference(resolution,[],[f1492,f76]) ).

fof(f1492,plain,
    ( ~ ssItem(hd(sk1))
    | spl0_23 ),
    inference(avatar_component_clause,[],[f1490]) ).

fof(f1497,plain,
    ( ~ spl0_23
    | ~ spl0_24
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_split_clause,[],[f1456,f867,f662,f1494,f1490]) ).

fof(f1494,plain,
    ( spl0_24
  <=> sk1 = tl(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1456,plain,
    ( sk1 != tl(sk1)
    | ~ ssItem(hd(sk1))
    | ~ spl0_5
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1450,f663]) ).

fof(f1450,plain,
    ( sk1 != tl(sk1)
    | ~ ssList(tl(sk1))
    | ~ ssItem(hd(sk1))
    | spl0_10 ),
    inference(superposition,[],[f99,f961]) ).

fof(f1488,plain,
    ( spl0_8
    | spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1487]) ).

fof(f1487,plain,
    ( $false
    | spl0_8
    | spl0_21 ),
    inference(subsumption_resolution,[],[f1486,f192]) ).

fof(f1486,plain,
    ( ~ ssList(sk5)
    | spl0_8
    | spl0_21 ),
    inference(subsumption_resolution,[],[f1485,f754]) ).

fof(f754,plain,
    ( nil != sk5
    | spl0_8 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f753,plain,
    ( spl0_8
  <=> nil = sk5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1485,plain,
    ( nil = sk5
    | ~ ssList(sk5)
    | spl0_21 ),
    inference(resolution,[],[f1479,f76]) ).

fof(f1479,plain,
    ( ~ ssItem(hd(sk5))
    | spl0_21 ),
    inference(avatar_component_clause,[],[f1477]) ).

fof(f1484,plain,
    ( ~ spl0_21
    | ~ spl0_22
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1455,f874,f749,f1481,f1477]) ).

fof(f1481,plain,
    ( spl0_22
  <=> sk5 = tl(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1455,plain,
    ( sk5 != tl(sk5)
    | ~ ssItem(hd(sk5))
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1449,f875]) ).

fof(f1449,plain,
    ( sk5 != tl(sk5)
    | ~ ssList(tl(sk5))
    | ~ ssItem(hd(sk5))
    | ~ spl0_7 ),
    inference(superposition,[],[f99,f751]) ).

fof(f1312,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1265,f257,f1309,f1305]) ).

fof(f1305,plain,
    ( spl0_19
  <=> skaf50(sk2) = skaf49(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1309,plain,
    ( spl0_20
  <=> cyclefreeP(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f257,plain,
    ( spl0_3
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1265,plain,
    ( cyclefreeP(sk2)
    | skaf50(sk2) = skaf49(sk2)
    | ~ spl0_3 ),
    inference(resolution,[],[f1222,f187]) ).

fof(f1222,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cyclefreeP(X0)
        | skaf50(X0) = skaf49(X0) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1220,f88]) ).

fof(f1220,plain,
    ( ! [X0] :
        ( skaf50(X0) = skaf49(X0)
        | ~ leq(skaf49(X0),skaf50(X0))
        | cyclefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_3 ),
    inference(resolution,[],[f1217,f87]) ).

fof(f1217,plain,
    ( ! [X0,X1] :
        ( ~ leq(X1,X0)
        | X0 = X1
        | ~ leq(X0,X1) )
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f1216]) ).

fof(f1216,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,X1)
        | X0 = X1
        | X0 = X1
        | ~ leq(X1,X0) )
    | ~ spl0_3 ),
    inference(resolution,[],[f1197,f1178]) ).

fof(f1178,plain,
    ( ! [X0,X1] :
        ( lt(X0,X1)
        | X0 = X1
        | ~ leq(X0,X1) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1177,f258]) ).

fof(f258,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f1177,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ leq(X0,X1)
        | X0 = X1
        | lt(X0,X1) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f121,f258]) ).

fof(f1197,plain,
    ( ! [X0,X1] :
        ( ~ lt(X1,X0)
        | ~ leq(X0,X1)
        | X0 = X1 )
    | ~ spl0_3 ),
    inference(resolution,[],[f1178,f563]) ).

fof(f563,plain,
    ( ! [X0,X1] :
        ( ~ lt(X1,X0)
        | ~ lt(X0,X1) )
    | ~ spl0_3 ),
    inference(resolution,[],[f562,f547]) ).

fof(f547,plain,
    ( ! [X0,X1] :
        ( gt(X1,X0)
        | ~ lt(X0,X1) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f546,f258]) ).

fof(f546,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X1)
        | ~ lt(X0,X1)
        | gt(X1,X0) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f106,f258]) ).

fof(f562,plain,
    ( ! [X0,X1] :
        ( ~ gt(X0,X1)
        | ~ lt(X0,X1) )
    | ~ spl0_3 ),
    inference(resolution,[],[f561,f547]) ).

fof(f561,plain,
    ( ! [X0,X1] :
        ( ~ gt(X1,X0)
        | ~ gt(X0,X1) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f560,f258]) ).

fof(f560,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ gt(X1,X0)
        | ~ gt(X0,X1) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f110,f258]) ).

fof(f1287,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1264,f257,f1284,f1280]) ).

fof(f1280,plain,
    ( spl0_17
  <=> skaf50(sk1) = skaf49(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1284,plain,
    ( spl0_18
  <=> cyclefreeP(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1264,plain,
    ( cyclefreeP(sk1)
    | skaf50(sk1) = skaf49(sk1)
    | ~ spl0_3 ),
    inference(resolution,[],[f1222,f186]) ).

fof(f1053,plain,
    ( spl0_2
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1052]) ).

fof(f1052,plain,
    ( $false
    | spl0_2
    | spl0_15 ),
    inference(subsumption_resolution,[],[f1051,f187]) ).

fof(f1051,plain,
    ( ~ ssList(sk2)
    | spl0_2
    | spl0_15 ),
    inference(subsumption_resolution,[],[f1050,f250]) ).

fof(f1050,plain,
    ( nil = sk2
    | ~ ssList(sk2)
    | spl0_15 ),
    inference(resolution,[],[f1044,f75]) ).

fof(f1044,plain,
    ( ~ ssList(tl(sk2))
    | spl0_15 ),
    inference(avatar_component_clause,[],[f1042]) ).

fof(f1049,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1035,f257,f249,f1046,f1042]) ).

fof(f1046,plain,
    ( spl0_16
  <=> memberP(sk2,hd(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1035,plain,
    ( memberP(sk2,hd(sk2))
    | ~ ssList(tl(sk2))
    | spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f410,f1034]) ).

fof(f410,plain,
    ( ! [X2,X1] :
        ( memberP(cons(X1,X2),X1)
        | ~ ssList(X2) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f227,f258]) ).

fof(f958,plain,
    spl0_13,
    inference(avatar_contradiction_clause,[],[f957]) ).

fof(f957,plain,
    ( $false
    | spl0_13 ),
    inference(subsumption_resolution,[],[f956,f187]) ).

fof(f956,plain,
    ( ~ ssList(sk2)
    | spl0_13 ),
    inference(resolution,[],[f950,f57]) ).

fof(f950,plain,
    ( ~ segmentP(sk2,sk2)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f948,plain,
    ( spl0_13
  <=> segmentP(sk2,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f955,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f946,f249,f245,f952,f948]) ).

fof(f952,plain,
    ( spl0_14
  <=> segmentP(sk1,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f245,plain,
    ( spl0_1
  <=> neq(sk2,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f946,plain,
    ( ~ segmentP(sk1,sk2)
    | ~ segmentP(sk2,sk2)
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f943,f187]) ).

fof(f943,plain,
    ( ~ ssList(sk2)
    | ~ segmentP(sk1,sk2)
    | ~ segmentP(sk2,sk2)
    | ~ spl0_1
    | spl0_2 ),
    inference(resolution,[],[f905,f247]) ).

fof(f247,plain,
    ( neq(sk2,nil)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f927,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f926]) ).

fof(f926,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f925,f186]) ).

fof(f925,plain,
    ( ~ ssList(sk1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(resolution,[],[f923,f57]) ).

fof(f923,plain,
    ( ~ segmentP(sk1,sk1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f922,f897]) ).

fof(f897,plain,
    ( sk1 = sk2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f888,f291]) ).

fof(f888,plain,
    ( sk2 = app(sk1,nil)
    | ~ spl0_8 ),
    inference(superposition,[],[f242,f755]) ).

fof(f755,plain,
    ( nil = sk5
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f922,plain,
    ( ~ segmentP(sk1,sk2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f918,f187]) ).

fof(f918,plain,
    ( ~ ssList(sk2)
    | ~ segmentP(sk1,sk2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(resolution,[],[f907,f247]) ).

fof(f907,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ ssList(X6)
        | ~ segmentP(sk1,X6) )
    | spl0_2
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f906]) ).

fof(f906,plain,
    ( ! [X6] :
        ( ~ segmentP(sk1,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ segmentP(sk1,X6) )
    | spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f905,f897]) ).

fof(f885,plain,
    ( spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f884]) ).

fof(f884,plain,
    ( $false
    | spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f883,f192]) ).

fof(f883,plain,
    ( ~ ssList(sk5)
    | spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f882,f754]) ).

fof(f882,plain,
    ( nil = sk5
    | ~ ssList(sk5)
    | spl0_11 ),
    inference(resolution,[],[f876,f75]) ).

fof(f876,plain,
    ( ~ ssList(tl(sk5))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f881,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f757,f749,f257,f878,f874]) ).

fof(f878,plain,
    ( spl0_12
  <=> memberP(sk5,hd(sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f757,plain,
    ( memberP(sk5,hd(sk5))
    | ~ ssList(tl(sk5))
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f410,f751]) ).

fof(f870,plain,
    ( spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f243,f867,f863]) ).

fof(f852,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f851]) ).

fof(f851,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f848,f8]) ).

fof(f848,plain,
    ( ~ ssList(nil)
    | ~ spl0_2 ),
    inference(resolution,[],[f842,f228]) ).

fof(f842,plain,
    ( neq(nil,nil)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f193,f196,f199,f195,f200,f231,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f229,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f235,f208,f236,f169,f149,f131,f168,f132,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f194,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f239,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f232,f233,f234,f242,f48,f49,f50,f51,f52,f53,f197,f251,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f228,f230,f237,f64,f65,f66,f67,f68,f69,f70,f72,f73,f297,f291,f295,f74,f334,f328,f332,f75,f337,f338,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f354,f355,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f100,f101,f290,f322,f323,f324,f325,f326,f327,f104,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f642,f643,f109,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f712,f713,f719,f648,f118,f830,f831,f832,f715,f833,f834,f835,f644,f836,f838,f839,f243,f840,f841]) ).

fof(f841,plain,
    ( neq(nil,nil)
    | nil != sk1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f199,f251]) ).

fof(f840,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f193,f196,f199,f195,f200,f231,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f229,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f235,f208,f236,f169,f149,f131,f168,f132,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f194,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f239,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f232,f233,f234,f242,f48,f49,f50,f51,f52,f53,f197,f251,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f228,f230,f237,f64,f65,f66,f67,f68,f69,f70,f72,f73,f297,f291,f295,f74,f334,f328,f332,f75,f337,f338,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f354,f355,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f100,f101,f290,f322,f323,f324,f325,f326,f327,f104,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f642,f643,f109,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f712,f713,f719,f648,f118,f830,f831,f832,f715,f833,f834,f835,f644,f836,f838,f839,f243]) ).

fof(f839,plain,
    ( ! [X6] :
        ( ~ segmentP(nil,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil) )
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f193,f196,f199,f195,f200,f231,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f229,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f235,f208,f236,f169,f149,f131,f168,f132,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f194,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f239,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f232,f233,f234,f242,f48,f49,f50,f51,f52,f53,f243,f197,f251,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f228,f230,f237,f64,f65,f66,f67,f68,f69,f70,f72,f73,f297,f291,f295,f74,f334,f328,f332,f75,f337,f338,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f354,f355,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f100,f101,f290,f322,f323,f324,f325,f326,f327,f104,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f642,f643,f109,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f712,f713,f719,f648,f118,f830,f831,f832,f715,f833,f834,f835,f644,f836,f838]) ).

fof(f838,plain,
    ( ! [X6] :
        ( ~ segmentP(nil,X6)
        | ~ ssList(X6)
        | nil != sk1
        | ~ neq(X6,nil) )
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f837]) ).

fof(f837,plain,
    ( ! [X6] :
        ( ~ segmentP(nil,X6)
        | ~ ssList(X6)
        | nil != sk1
        | ~ neq(X6,nil)
        | ~ segmentP(nil,X6) )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f231,f251]) ).

fof(f836,plain,
    ( nil = sk1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f193,f196,f199,f195,f200,f231,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f229,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f235,f208,f236,f169,f149,f131,f168,f132,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f194,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f239,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f232,f233,f234,f242,f48,f49,f50,f51,f52,f53,f243,f197,f251,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f228,f230,f237,f64,f65,f66,f67,f68,f69,f70,f72,f73,f297,f291,f295,f74,f334,f328,f332,f75,f337,f338,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f354,f355,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f100,f101,f290,f322,f323,f324,f325,f326,f327,f104,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f642,f643,f109,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f712,f713,f719,f648,f118,f830,f831,f832,f715,f833,f834,f835,f644]) ).

fof(f835,plain,
    ( nil = sk1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f193,f196,f199,f195,f200,f231,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f229,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f235,f208,f236,f169,f149,f131,f168,f132,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f194,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f239,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f232,f233,f234,f242,f48,f49,f50,f51,f52,f53,f243,f197,f251,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f228,f230,f237,f64,f65,f66,f67,f68,f69,f70,f72,f73,f297,f291,f295,f74,f334,f328,f332,f75,f337,f338,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f354,f355,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f100,f101,f290,f322,f323,f324,f325,f326,f327,f104,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f642,f643,f109,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f712,f713,f719,f648,f118,f830,f831,f832,f715,f833,f834]) ).

fof(f833,plain,
    ( nil = sk1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f193,f196,f199,f195,f200,f231,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f229,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f235,f208,f236,f169,f149,f131,f168,f132,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f194,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f239,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f232,f233,f234,f242,f48,f49,f50,f51,f52,f53,f243,f197,f251,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f228,f230,f237,f64,f65,f66,f67,f68,f69,f70,f72,f73,f297,f291,f295,f74,f334,f328,f332,f75,f337,f338,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f354,f355,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f100,f101,f290,f322,f323,f324,f325,f326,f327,f104,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f642,f643,f109,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f712,f713,f719,f648,f118,f830,f831,f832,f715]) ).

fof(f832,plain,
    ( nil = sk1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f193,f196,f199,f195,f200,f231,f198,f86,f98,f99,f96,f97,f120,f162,f142,f167,f166,f165,f164,f163,f201,f202,f203,f76,f78,f77,f229,f110,f105,f107,f114,f106,f103,f108,f102,f157,f206,f207,f235,f208,f236,f169,f149,f131,f168,f132,f119,f123,f133,f227,f139,f126,f130,f122,f121,f141,f140,f124,f125,f134,f135,f136,f137,f151,f150,f211,f212,f226,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f215,f158,f172,f216,f153,f152,f154,f217,f225,f177,f219,f220,f221,f222,f223,f224,f186,f187,f188,f189,f192,f194,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f239,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f232,f233,f234,f242,f48,f49,f50,f51,f52,f53,f243,f197,f251,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f228,f230,f237,f64,f65,f66,f67,f68,f69,f70,f72,f73,f297,f291,f295,f74,f334,f328,f332,f75,f337,f338,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f80,f82,f84,f85,f354,f355,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f100,f101,f290,f322,f323,f324,f325,f326,f327,f104,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f633,f634,f635,f636,f637,f638,f639,f640,f642,f643,f109,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f712,f713,f719,f648,f118,f830,f831]) ).

fof(f830,plain,
    ( nil = sk1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f826,f192]) ).

fof(f826,plain,
    ( nil = sk1
    | ~ ssList(sk5)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f825,f186]) ).

fof(f825,plain,
    ( ~ ssList(sk1)
    | nil = sk1
    | ~ ssList(sk5)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f822,f251]) ).

fof(f251,plain,
    ( nil = sk2
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f850,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f849]) ).

fof(f849,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f847,f258]) ).

fof(f847,plain,
    ( ~ ssItem(nil)
    | ~ spl0_2 ),
    inference(resolution,[],[f842,f230]) ).

fof(f829,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f828]) ).

fof(f828,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f827,f192]) ).

fof(f827,plain,
    ( ~ ssList(sk5)
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f826,f255]) ).

fof(f255,plain,
    ( nil != sk1
    | spl0_1 ),
    inference(subsumption_resolution,[],[f199,f246]) ).

fof(f246,plain,
    ( ~ neq(sk2,nil)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f756,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f648,f753,f749]) ).

fof(f673,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f672]) ).

fof(f672,plain,
    ( $false
    | spl0_1
    | spl0_5 ),
    inference(subsumption_resolution,[],[f671,f186]) ).

fof(f671,plain,
    ( ~ ssList(sk1)
    | spl0_1
    | spl0_5 ),
    inference(subsumption_resolution,[],[f670,f255]) ).

fof(f670,plain,
    ( nil = sk1
    | ~ ssList(sk1)
    | spl0_5 ),
    inference(resolution,[],[f664,f75]) ).

fof(f664,plain,
    ( ~ ssList(tl(sk1))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f669,plain,
    ( ~ spl0_5
    | spl0_6
    | spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f655,f257,f245,f666,f662]) ).

fof(f666,plain,
    ( spl0_6
  <=> memberP(sk1,hd(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f655,plain,
    ( memberP(sk1,hd(sk1))
    | ~ ssList(tl(sk1))
    | spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f410,f650]) ).

fof(f650,plain,
    ( sk1 = cons(hd(sk1),tl(sk1))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f644,f255]) ).

fof(f262,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f72,f260,f257]) ).

fof(f260,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f252,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f197,f249,f245]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC065-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 04:05:48 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (17451)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39  % (17452)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.40  % (17454)WARNING: value z3 for option sas not known
% 0.22/0.40  % (17453)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40  % (17455)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40  % (17456)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.40  % (17458)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.40  % (17454)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.40  % (17457)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.42  TRYING [1]
% 0.22/0.42  TRYING [2]
% 0.22/0.44  TRYING [3]
% 0.22/0.46  TRYING [1]
% 0.22/0.47  TRYING [2]
% 0.22/0.49  TRYING [4]
% 1.34/0.56  TRYING [3]
% 1.94/0.63  TRYING [5]
% 2.35/0.73  TRYING [4]
% 2.90/0.77  % (17454)First to succeed.
% 2.90/0.79  % (17454)Refutation found. Thanks to Tanya!
% 2.90/0.79  % SZS status Unsatisfiable for theBenchmark
% 2.90/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 2.90/0.79  % (17454)------------------------------
% 2.90/0.79  % (17454)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.90/0.79  % (17454)Termination reason: Refutation
% 2.90/0.79  
% 2.90/0.79  % (17454)Memory used [KB]: 5093
% 2.90/0.79  % (17454)Time elapsed: 0.390 s
% 2.90/0.79  % (17454)Instructions burned: 869 (million)
% 2.90/0.79  % (17454)------------------------------
% 2.90/0.79  % (17454)------------------------------
% 2.90/0.79  % (17451)Success in time 0.428 s
%------------------------------------------------------------------------------