TSTP Solution File: SWC085-1 by Vampire-SAT---4.8

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC085-1 : 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 : n005.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 15:52:04 EDT 2024

% Result   : Unsatisfiable 0.22s 0.58s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :  243
% Syntax   : Number of formulae    :  638 ( 137 unt;   0 def)
%            Number of atoms       : 1810 ( 419 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 2108 ( 936   ~;1126   |;   0   &)
%                                         (  46 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   67 (  65 usr;  47 prp; 0-2 aty)
%            Number of functors    :   53 (  53 usr;   7 con; 0-2 aty)
%            Number of variables   :  573 ( 573   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7647,plain,
    $false,
    inference(avatar_sat_refutation,[],[f254,f262,f413,f416,f425,f428,f642,f646,f670,f672,f760,f836,f840,f987,f991,f1000,f1014,f1041,f1047,f1049,f1727,f1740,f1766,f1775,f1883,f3814,f3837,f6486,f6492,f6553,f6600,f6615,f6833,f6892,f7272,f7646]) ).

fof(f7646,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f7645]) ).

fof(f7645,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(subsumption_resolution,[],[f7644,f187]) ).

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

fof(f7644,plain,
    ( ~ ssList(sk2)
    | spl0_1
    | spl0_7 ),
    inference(forward_demodulation,[],[f7643,f2276]) ).

fof(f2276,plain,
    ( sk2 = app(sk1,skaf45(sk2,sk1))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2275,f186]) ).

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

fof(f2275,plain,
    ( ~ ssList(sk1)
    | sk2 = app(sk1,skaf45(sk2,sk1))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2266,f187]) ).

fof(f2266,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk1)
    | sk2 = app(sk1,skaf45(sk2,sk1))
    | spl0_1 ),
    inference(resolution,[],[f132,f255]) ).

fof(f255,plain,
    ( frontsegP(sk2,sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f240,f248]) ).

fof(f248,plain,
    ( nil != sk2
    | spl0_1 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl0_1
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f240,plain,
    ( frontsegP(sk2,sk1)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f239,f190]) ).

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

fof(f239,plain,
    ( frontsegP(sk4,sk1)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f238,f191]) ).

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

fof(f238,plain,
    ( nil = sk2
    | frontsegP(sk4,sk3) ),
    inference(forward_demodulation,[],[f195,f190]) ).

fof(f195,axiom,
    ( nil = sk4
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

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(f7643,plain,
    ( ~ ssList(app(sk1,skaf45(sk2,sk1)))
    | spl0_1
    | spl0_7 ),
    inference(subsumption_resolution,[],[f7642,f51]) ).

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

fof(f7642,plain,
    ( ~ ssList(app(sk1,skaf45(sk2,sk1)))
    | ~ ssList(skaf45(sk2,sk1))
    | spl0_1
    | spl0_7 ),
    inference(subsumption_resolution,[],[f7635,f420]) ).

fof(f420,plain,
    ( ~ segmentP(sk2,sk1)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl0_7
  <=> segmentP(sk2,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f7635,plain,
    ( segmentP(sk2,sk1)
    | ~ ssList(app(sk1,skaf45(sk2,sk1)))
    | ~ ssList(skaf45(sk2,sk1))
    | spl0_1 ),
    inference(superposition,[],[f7617,f2276]) ).

fof(f7617,plain,
    ! [X0] :
      ( segmentP(app(sk1,X0),sk1)
      | ~ ssList(app(sk1,X0))
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f7616,f325]) ).

fof(f325,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(f7616,plain,
    ! [X0] :
      ( segmentP(app(sk1,X0),sk1)
      | ~ ssList(app(app(nil,sk1),X0))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f7615,f8]) ).

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

fof(f7615,plain,
    ! [X0] :
      ( segmentP(app(sk1,X0),sk1)
      | ~ ssList(app(app(nil,sk1),X0))
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f7403,f186]) ).

fof(f7403,plain,
    ! [X0] :
      ( segmentP(app(sk1,X0),sk1)
      | ~ ssList(app(app(nil,sk1),X0))
      | ~ ssList(sk1)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f213,f325]) ).

fof(f213,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(f7272,plain,
    ( ~ spl0_45
    | spl0_46
    | ~ spl0_36
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f7230,f6612,f6483,f7269,f7265]) ).

fof(f7265,plain,
    ( spl0_45
  <=> rearsegP(skaf48(sk1,sk1),sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f7269,plain,
    ( spl0_46
  <=> rearsegP(sk1,skaf48(sk2,sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f6483,plain,
    ( spl0_36
  <=> rearsegP(sk1,skaf48(sk1,sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f6612,plain,
    ( spl0_42
  <=> rearsegP(sk2,skaf48(sk2,sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f7230,plain,
    ( rearsegP(sk1,skaf48(sk2,sk2))
    | ~ rearsegP(skaf48(sk1,sk1),sk2)
    | ~ spl0_36
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f7229,f48]) ).

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

fof(f7229,plain,
    ( rearsegP(sk1,skaf48(sk2,sk2))
    | ~ rearsegP(skaf48(sk1,sk1),sk2)
    | ~ ssList(skaf48(sk1,sk1))
    | ~ spl0_36
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f7223,f48]) ).

fof(f7223,plain,
    ( ~ ssList(skaf48(sk2,sk2))
    | rearsegP(sk1,skaf48(sk2,sk2))
    | ~ rearsegP(skaf48(sk1,sk1),sk2)
    | ~ ssList(skaf48(sk1,sk1))
    | ~ spl0_36
    | ~ spl0_42 ),
    inference(resolution,[],[f7188,f6838]) ).

fof(f6838,plain,
    ( ! [X0] :
        ( rearsegP(X0,skaf48(sk2,sk2))
        | ~ rearsegP(X0,sk2)
        | ~ ssList(X0) )
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f6837,f48]) ).

fof(f6837,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(skaf48(sk2,sk2))
        | ~ rearsegP(X0,sk2)
        | rearsegP(X0,skaf48(sk2,sk2)) )
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f6834,f187]) ).

fof(f6834,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(sk2)
        | ~ ssList(skaf48(sk2,sk2))
        | ~ rearsegP(X0,sk2)
        | rearsegP(X0,skaf48(sk2,sk2)) )
    | ~ spl0_42 ),
    inference(resolution,[],[f6614,f153]) ).

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(f6614,plain,
    ( rearsegP(sk2,skaf48(sk2,sk2))
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f6612]) ).

fof(f7188,plain,
    ( ! [X0] :
        ( ~ rearsegP(skaf48(sk1,sk1),X0)
        | ~ ssList(X0)
        | rearsegP(sk1,X0) )
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f7187,f50]) ).

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

fof(f7187,plain,
    ( ! [X0] :
        ( rearsegP(sk1,X0)
        | ~ ssList(X0)
        | ~ rearsegP(skaf48(sk1,sk1),X0)
        | ~ ssList(skaf46(sk1,skaf48(sk1,sk1))) )
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f7174,f48]) ).

fof(f7174,plain,
    ( ! [X0] :
        ( rearsegP(sk1,X0)
        | ~ ssList(skaf48(sk1,sk1))
        | ~ ssList(X0)
        | ~ rearsegP(skaf48(sk1,sk1),X0)
        | ~ ssList(skaf46(sk1,skaf48(sk1,sk1))) )
    | ~ spl0_36 ),
    inference(superposition,[],[f136,f6499]) ).

fof(f6499,plain,
    ( sk1 = app(skaf46(sk1,skaf48(sk1,sk1)),skaf48(sk1,sk1))
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f6498,f48]) ).

fof(f6498,plain,
    ( ~ ssList(skaf48(sk1,sk1))
    | sk1 = app(skaf46(sk1,skaf48(sk1,sk1)),skaf48(sk1,sk1))
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f6494,f186]) ).

fof(f6494,plain,
    ( ~ ssList(sk1)
    | ~ ssList(skaf48(sk1,sk1))
    | sk1 = app(skaf46(sk1,skaf48(sk1,sk1)),skaf48(sk1,sk1))
    | ~ spl0_36 ),
    inference(resolution,[],[f6485,f131]) ).

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(f6485,plain,
    ( rearsegP(sk1,skaf48(sk1,sk1))
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f6483]) ).

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(f6892,plain,
    ( spl0_43
    | ~ spl0_44
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f6842,f6612,f6889,f6885]) ).

fof(f6885,plain,
    ( spl0_43
  <=> sk2 = skaf48(sk2,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f6889,plain,
    ( spl0_44
  <=> rearsegP(skaf48(sk2,sk2),sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f6842,plain,
    ( ~ rearsegP(skaf48(sk2,sk2),sk2)
    | sk2 = skaf48(sk2,sk2)
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f6841,f187]) ).

fof(f6841,plain,
    ( ~ ssList(sk2)
    | ~ rearsegP(skaf48(sk2,sk2),sk2)
    | sk2 = skaf48(sk2,sk2)
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f6836,f48]) ).

fof(f6836,plain,
    ( ~ ssList(skaf48(sk2,sk2))
    | ~ ssList(sk2)
    | ~ rearsegP(skaf48(sk2,sk2),sk2)
    | sk2 = skaf48(sk2,sk2)
    | ~ spl0_42 ),
    inference(resolution,[],[f6614,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(f6833,plain,
    spl0_41,
    inference(avatar_contradiction_clause,[],[f6832]) ).

fof(f6832,plain,
    ( $false
    | spl0_41 ),
    inference(subsumption_resolution,[],[f6831,f187]) ).

fof(f6831,plain,
    ( ~ ssList(sk2)
    | spl0_41 ),
    inference(subsumption_resolution,[],[f6830,f49]) ).

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

fof(f6830,plain,
    ( ~ ssList(skaf47(sk2,sk2))
    | ~ ssList(sk2)
    | spl0_41 ),
    inference(resolution,[],[f6610,f85]) ).

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

fof(f6610,plain,
    ( ~ ssList(app(skaf47(sk2,sk2),sk2))
    | spl0_41 ),
    inference(avatar_component_clause,[],[f6608]) ).

fof(f6608,plain,
    ( spl0_41
  <=> ssList(app(skaf47(sk2,sk2),sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f6615,plain,
    ( ~ spl0_41
    | spl0_42
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6324,f406,f6612,f6608]) ).

fof(f406,plain,
    ( spl0_5
  <=> segmentP(sk2,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f6324,plain,
    ( rearsegP(sk2,skaf48(sk2,sk2))
    | ~ ssList(app(skaf47(sk2,sk2),sk2))
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f6313,f48]) ).

fof(f6313,plain,
    ( rearsegP(sk2,skaf48(sk2,sk2))
    | ~ ssList(skaf48(sk2,sk2))
    | ~ ssList(app(skaf47(sk2,sk2),sk2))
    | ~ spl0_5 ),
    inference(superposition,[],[f1932,f6258]) ).

fof(f6258,plain,
    ( sk2 = app(app(skaf47(sk2,sk2),sk2),skaf48(sk2,sk2))
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f6248,f187]) ).

fof(f6248,plain,
    ( ~ ssList(sk2)
    | sk2 = app(app(skaf47(sk2,sk2),sk2),skaf48(sk2,sk2))
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f6247]) ).

fof(f6247,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk2)
    | sk2 = app(app(skaf47(sk2,sk2),sk2),skaf48(sk2,sk2))
    | ~ spl0_5 ),
    inference(resolution,[],[f168,f407]) ).

fof(f407,plain,
    ( segmentP(sk2,sk2)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f406]) ).

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(f1932,plain,
    ! [X0,X1] :
      ( rearsegP(app(X0,X1),X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f208,f85]) ).

fof(f208,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(f6600,plain,
    ( spl0_39
    | ~ spl0_40
    | spl0_1
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f6544,f6483,f247,f6597,f6593]) ).

fof(f6593,plain,
    ( spl0_39
  <=> rearsegP(sk2,skaf48(sk1,sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f6597,plain,
    ( spl0_40
  <=> rearsegP(skaf45(sk2,sk1),sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f6544,plain,
    ( ~ rearsegP(skaf45(sk2,sk1),sk1)
    | rearsegP(sk2,skaf48(sk1,sk1))
    | spl0_1
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f6543,f48]) ).

fof(f6543,plain,
    ( ~ rearsegP(skaf45(sk2,sk1),sk1)
    | ~ ssList(skaf48(sk1,sk1))
    | rearsegP(sk2,skaf48(sk1,sk1))
    | spl0_1
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f6536,f51]) ).

fof(f6536,plain,
    ( ~ rearsegP(skaf45(sk2,sk1),sk1)
    | ~ ssList(skaf45(sk2,sk1))
    | ~ ssList(skaf48(sk1,sk1))
    | rearsegP(sk2,skaf48(sk1,sk1))
    | spl0_1
    | ~ spl0_36 ),
    inference(resolution,[],[f6497,f2472]) ).

fof(f2472,plain,
    ( ! [X0] :
        ( ~ rearsegP(skaf45(sk2,sk1),X0)
        | ~ ssList(X0)
        | rearsegP(sk2,X0) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2471,f186]) ).

fof(f2471,plain,
    ( ! [X0] :
        ( rearsegP(sk2,X0)
        | ~ ssList(X0)
        | ~ rearsegP(skaf45(sk2,sk1),X0)
        | ~ ssList(sk1) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2397,f51]) ).

fof(f2397,plain,
    ( ! [X0] :
        ( rearsegP(sk2,X0)
        | ~ ssList(skaf45(sk2,sk1))
        | ~ ssList(X0)
        | ~ rearsegP(skaf45(sk2,sk1),X0)
        | ~ ssList(sk1) )
    | spl0_1 ),
    inference(superposition,[],[f136,f2276]) ).

fof(f6497,plain,
    ( ! [X0] :
        ( rearsegP(X0,skaf48(sk1,sk1))
        | ~ rearsegP(X0,sk1)
        | ~ ssList(X0) )
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f6496,f48]) ).

fof(f6496,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(skaf48(sk1,sk1))
        | ~ rearsegP(X0,sk1)
        | rearsegP(X0,skaf48(sk1,sk1)) )
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f6493,f186]) ).

fof(f6493,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(sk1)
        | ~ ssList(skaf48(sk1,sk1))
        | ~ rearsegP(X0,sk1)
        | rearsegP(X0,skaf48(sk1,sk1)) )
    | ~ spl0_36 ),
    inference(resolution,[],[f6485,f153]) ).

fof(f6553,plain,
    ( spl0_37
    | ~ spl0_38
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f6501,f6483,f6550,f6546]) ).

fof(f6546,plain,
    ( spl0_37
  <=> sk1 = skaf48(sk1,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f6550,plain,
    ( spl0_38
  <=> rearsegP(skaf48(sk1,sk1),sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f6501,plain,
    ( ~ rearsegP(skaf48(sk1,sk1),sk1)
    | sk1 = skaf48(sk1,sk1)
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f6500,f186]) ).

fof(f6500,plain,
    ( ~ ssList(sk1)
    | ~ rearsegP(skaf48(sk1,sk1),sk1)
    | sk1 = skaf48(sk1,sk1)
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f6495,f48]) ).

fof(f6495,plain,
    ( ~ ssList(skaf48(sk1,sk1))
    | ~ ssList(sk1)
    | ~ rearsegP(skaf48(sk1,sk1),sk1)
    | sk1 = skaf48(sk1,sk1)
    | ~ spl0_36 ),
    inference(resolution,[],[f6485,f128]) ).

fof(f6492,plain,
    spl0_35,
    inference(avatar_contradiction_clause,[],[f6491]) ).

fof(f6491,plain,
    ( $false
    | spl0_35 ),
    inference(subsumption_resolution,[],[f6490,f186]) ).

fof(f6490,plain,
    ( ~ ssList(sk1)
    | spl0_35 ),
    inference(subsumption_resolution,[],[f6489,f49]) ).

fof(f6489,plain,
    ( ~ ssList(skaf47(sk1,sk1))
    | ~ ssList(sk1)
    | spl0_35 ),
    inference(resolution,[],[f6481,f85]) ).

fof(f6481,plain,
    ( ~ ssList(app(skaf47(sk1,sk1),sk1))
    | spl0_35 ),
    inference(avatar_component_clause,[],[f6479]) ).

fof(f6479,plain,
    ( spl0_35
  <=> ssList(app(skaf47(sk1,sk1),sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f6486,plain,
    ( ~ spl0_35
    | spl0_36
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f6298,f422,f6483,f6479]) ).

fof(f422,plain,
    ( spl0_8
  <=> segmentP(sk1,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f6298,plain,
    ( rearsegP(sk1,skaf48(sk1,sk1))
    | ~ ssList(app(skaf47(sk1,sk1),sk1))
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f6287,f48]) ).

fof(f6287,plain,
    ( rearsegP(sk1,skaf48(sk1,sk1))
    | ~ ssList(skaf48(sk1,sk1))
    | ~ ssList(app(skaf47(sk1,sk1),sk1))
    | ~ spl0_8 ),
    inference(superposition,[],[f1932,f6257]) ).

fof(f6257,plain,
    ( sk1 = app(app(skaf47(sk1,sk1),sk1),skaf48(sk1,sk1))
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f6249,f186]) ).

fof(f6249,plain,
    ( ~ ssList(sk1)
    | sk1 = app(app(skaf47(sk1,sk1),sk1),skaf48(sk1,sk1))
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f6246]) ).

fof(f6246,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk1)
    | sk1 = app(app(skaf47(sk1,sk1),sk1),skaf48(sk1,sk1))
    | ~ spl0_8 ),
    inference(resolution,[],[f168,f423]) ).

fof(f423,plain,
    ( segmentP(sk1,sk1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f3837,plain,
    ( spl0_33
    | ~ spl0_34
    | spl0_1 ),
    inference(avatar_split_clause,[],[f3825,f247,f3834,f3830]) ).

fof(f3830,plain,
    ( spl0_33
  <=> nil = skaf45(sk2,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f3834,plain,
    ( spl0_34
  <=> rearsegP(nil,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f3825,plain,
    ( ~ rearsegP(nil,sk2)
    | nil = skaf45(sk2,sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f3824,f51]) ).

fof(f3824,plain,
    ( ~ rearsegP(nil,sk2)
    | ~ ssList(skaf45(sk2,sk1))
    | nil = skaf45(sk2,sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f3815,f8]) ).

fof(f3815,plain,
    ( ~ rearsegP(nil,sk2)
    | ~ ssList(nil)
    | ~ ssList(skaf45(sk2,sk1))
    | nil = skaf45(sk2,sk1)
    | spl0_1 ),
    inference(resolution,[],[f3434,f82]) ).

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

fof(f3434,plain,
    ( ! [X0] :
        ( rearsegP(X0,skaf45(sk2,sk1))
        | ~ rearsegP(X0,sk2)
        | ~ ssList(X0) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f3433,f51]) ).

fof(f3433,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(skaf45(sk2,sk1))
        | ~ rearsegP(X0,sk2)
        | rearsegP(X0,skaf45(sk2,sk1)) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f3417,f187]) ).

fof(f3417,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(sk2)
        | ~ ssList(skaf45(sk2,sk1))
        | ~ rearsegP(X0,sk2)
        | rearsegP(X0,skaf45(sk2,sk1)) )
    | spl0_1 ),
    inference(resolution,[],[f153,f2284]) ).

fof(f2284,plain,
    ( rearsegP(sk2,skaf45(sk2,sk1))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2283,f186]) ).

fof(f2283,plain,
    ( rearsegP(sk2,skaf45(sk2,sk1))
    | ~ ssList(sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2278,f51]) ).

fof(f2278,plain,
    ( rearsegP(sk2,skaf45(sk2,sk1))
    | ~ ssList(skaf45(sk2,sk1))
    | ~ ssList(sk1)
    | spl0_1 ),
    inference(superposition,[],[f1932,f2276]) ).

fof(f3814,plain,
    ( spl0_31
    | ~ spl0_32
    | spl0_1 ),
    inference(avatar_split_clause,[],[f2290,f247,f3811,f3807]) ).

fof(f3807,plain,
    ( spl0_31
  <=> sk2 = skaf45(sk2,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f3811,plain,
    ( spl0_32
  <=> rearsegP(skaf45(sk2,sk1),sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2290,plain,
    ( ~ rearsegP(skaf45(sk2,sk1),sk2)
    | sk2 = skaf45(sk2,sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2289,f187]) ).

fof(f2289,plain,
    ( ~ ssList(sk2)
    | ~ rearsegP(skaf45(sk2,sk1),sk2)
    | sk2 = skaf45(sk2,sk1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f2286,f51]) ).

fof(f2286,plain,
    ( ~ ssList(skaf45(sk2,sk1))
    | ~ ssList(sk2)
    | ~ rearsegP(skaf45(sk2,sk1),sk2)
    | sk2 = skaf45(sk2,sk1)
    | spl0_1 ),
    inference(resolution,[],[f2284,f128]) ).

fof(f1883,plain,
    ( spl0_29
    | ~ spl0_30
    | spl0_1 ),
    inference(avatar_split_clause,[],[f1874,f247,f1880,f1876]) ).

fof(f1876,plain,
    ( spl0_29
  <=> sk1 = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1880,plain,
    ( spl0_30
  <=> frontsegP(sk1,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1874,plain,
    ( ~ frontsegP(sk1,sk2)
    | sk1 = sk2
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1873,f187]) ).

fof(f1873,plain,
    ( ~ ssList(sk2)
    | ~ frontsegP(sk1,sk2)
    | sk1 = sk2
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1869,f186]) ).

fof(f1869,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk2)
    | ~ frontsegP(sk1,sk2)
    | sk1 = sk2
    | spl0_1 ),
    inference(resolution,[],[f129,f255]) ).

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(f1775,plain,
    ( spl0_27
    | ~ spl0_28
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_17
    | spl0_22 ),
    inference(avatar_split_clause,[],[f1753,f1729,f993,f829,f753,f1772,f1768]) ).

fof(f1768,plain,
    ( spl0_27
  <=> totalorderedP(tl(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1772,plain,
    ( spl0_28
  <=> totalorderedP(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f753,plain,
    ( spl0_11
  <=> sk1 = cons(hd(sk1),tl(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f829,plain,
    ( spl0_13
  <=> ssList(tl(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f993,plain,
    ( spl0_17
  <=> ssItem(hd(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1729,plain,
    ( spl0_22
  <=> nil = tl(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1753,plain,
    ( ~ totalorderedP(sk1)
    | totalorderedP(tl(sk1))
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_17
    | spl0_22 ),
    inference(subsumption_resolution,[],[f1752,f994]) ).

fof(f994,plain,
    ( ssItem(hd(sk1))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f1752,plain,
    ( ~ totalorderedP(sk1)
    | totalorderedP(tl(sk1))
    | ~ ssItem(hd(sk1))
    | ~ spl0_11
    | ~ spl0_13
    | spl0_22 ),
    inference(subsumption_resolution,[],[f1751,f1730]) ).

fof(f1730,plain,
    ( nil != tl(sk1)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f1729]) ).

fof(f1751,plain,
    ( ~ totalorderedP(sk1)
    | totalorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ ssItem(hd(sk1))
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1744,f830]) ).

fof(f830,plain,
    ( ssList(tl(sk1))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f1744,plain,
    ( ~ totalorderedP(sk1)
    | ~ ssList(tl(sk1))
    | totalorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ ssItem(hd(sk1))
    | ~ spl0_11 ),
    inference(superposition,[],[f125,f755]) ).

fof(f755,plain,
    ( sk1 = cons(hd(sk1),tl(sk1))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f753]) ).

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(f1766,plain,
    ( spl0_25
    | ~ spl0_26
    | spl0_1
    | ~ spl0_9
    | ~ spl0_15
    | spl0_19 ),
    inference(avatar_split_clause,[],[f1750,f1716,f980,f635,f247,f1763,f1759]) ).

fof(f1759,plain,
    ( spl0_25
  <=> totalorderedP(tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1763,plain,
    ( spl0_26
  <=> totalorderedP(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f635,plain,
    ( spl0_9
  <=> ssList(tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f980,plain,
    ( spl0_15
  <=> ssItem(hd(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1716,plain,
    ( spl0_19
  <=> nil = tl(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1750,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(tl(sk2))
    | spl0_1
    | ~ spl0_9
    | ~ spl0_15
    | spl0_19 ),
    inference(subsumption_resolution,[],[f1749,f981]) ).

fof(f981,plain,
    ( ssItem(hd(sk2))
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f1749,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(tl(sk2))
    | ~ ssItem(hd(sk2))
    | spl0_1
    | ~ spl0_9
    | spl0_19 ),
    inference(subsumption_resolution,[],[f1748,f1717]) ).

fof(f1717,plain,
    ( nil != tl(sk2)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f1716]) ).

fof(f1748,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(tl(sk2))
    | nil = tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1743,f636]) ).

fof(f636,plain,
    ( ssList(tl(sk2))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f1743,plain,
    ( ~ totalorderedP(sk2)
    | ~ ssList(tl(sk2))
    | totalorderedP(tl(sk2))
    | nil = tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_1 ),
    inference(superposition,[],[f125,f674]) ).

fof(f674,plain,
    ( sk2 = cons(hd(sk2),tl(sk2))
    | spl0_1 ),
    inference(global_subsumption,[],[f194,f195,f196,f197,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f76,f78,f77,f109,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204,f231,f205,f232,f169,f149,f131,f168,f132,f118,f119,f123,f133,f224,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f212,f158,f172,f213,f153,f152,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f192,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,f228,f229,f230,f48,f49,f50,f51,f52,f53,f242,f237,f248,f255,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f225,f227,f233,f64,f65,f66,f67,f68,f69,f70,f72,f73,f295,f296,f291,f292,f74,f329,f330,f325,f326,f75,f331,f332,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f80,f82,f84,f85,f348,f349,f193,f403,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f290,f319,f100,f101,f529,f320,f321,f322,f323,f324,f104,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f615,f616,f617,f624,f627,f622,f648,f245,f240,f673,f618]) ).

fof(f618,plain,
    ( nil = sk2
    | sk2 = cons(hd(sk2),tl(sk2)) ),
    inference(resolution,[],[f104,f187]) ).

fof(f673,plain,
    ( frontsegP(sk2,sk1)
    | spl0_1 ),
    inference(global_subsumption,[],[f194,f195,f196,f197,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f76,f78,f77,f109,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204,f231,f205,f232,f169,f149,f131,f168,f132,f118,f119,f123,f133,f224,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f212,f158,f172,f213,f153,f152,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f192,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,f228,f229,f230,f48,f49,f50,f51,f52,f53,f242,f237,f248,f255,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f225,f227,f233,f64,f65,f66,f67,f68,f69,f70,f72,f73,f295,f296,f291,f292,f74,f329,f330,f325,f326,f75,f331,f332,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f80,f82,f84,f85,f348,f349,f193,f403,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f290,f319,f100,f101,f529,f320,f321,f322,f323,f324,f104,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f615,f616,f617,f624,f627,f622,f648,f618,f245,f240]) ).

fof(f245,plain,
    ( frontsegP(sk2,sk1)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f244,f190]) ).

fof(f244,plain,
    ( frontsegP(sk4,sk1)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f243,f191]) ).

fof(f243,plain,
    ( nil = sk1
    | frontsegP(sk4,sk3) ),
    inference(forward_demodulation,[],[f197,f191]) ).

fof(f648,plain,
    ( sk2 = cons(hd(sk2),tl(sk2))
    | nil = sk2 ),
    inference(forward_demodulation,[],[f625,f190]) ).

fof(f625,plain,
    ( nil = sk2
    | sk4 = cons(hd(sk4),tl(sk4)) ),
    inference(forward_demodulation,[],[f620,f190]) ).

fof(f620,plain,
    ( nil = sk4
    | sk4 = cons(hd(sk4),tl(sk4)) ),
    inference(resolution,[],[f104,f189]) ).

fof(f622,plain,
    ( sk2 = cons(hd(sk2),tl(sk2))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f618,f248]) ).

fof(f627,plain,
    ( sk2 = cons(hd(sk2),tl(sk2))
    | spl0_1 ),
    inference(forward_demodulation,[],[f626,f190]) ).

fof(f626,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f625,f248]) ).

fof(f624,plain,
    ( sk1 = cons(hd(sk1),tl(sk1))
    | nil = sk1 ),
    inference(forward_demodulation,[],[f623,f191]) ).

fof(f623,plain,
    ( nil = sk1
    | sk3 = cons(hd(sk3),tl(sk3)) ),
    inference(forward_demodulation,[],[f619,f191]) ).

fof(f619,plain,
    ( nil = sk3
    | sk3 = cons(hd(sk3),tl(sk3)) ),
    inference(resolution,[],[f104,f188]) ).

fof(f617,plain,
    ( nil = sk1
    | sk1 = cons(hd(sk1),tl(sk1)) ),
    inference(resolution,[],[f104,f186]) ).

fof(f616,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f104,f75]) ).

fof(f615,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(f613,plain,
    ! [X0,X1] :
      ( nil = skaf42(X0,X1)
      | skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
    inference(resolution,[],[f104,f53]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( nil = skaf43(X0,X1)
      | skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
    inference(resolution,[],[f104,f52]) ).

fof(f611,plain,
    ! [X0,X1] :
      ( nil = skaf45(X0,X1)
      | skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
    inference(resolution,[],[f104,f51]) ).

fof(f610,plain,
    ! [X0,X1] :
      ( nil = skaf46(X0,X1)
      | skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
    inference(resolution,[],[f104,f50]) ).

fof(f609,plain,
    ! [X0,X1] :
      ( nil = skaf47(X0,X1)
      | skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
    inference(resolution,[],[f104,f49]) ).

fof(f608,plain,
    ! [X0,X1] :
      ( nil = skaf48(X0,X1)
      | skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
    inference(resolution,[],[f104,f48]) ).

fof(f607,plain,
    ! [X0] :
      ( nil = skaf51(X0)
      | skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
    inference(resolution,[],[f104,f44]) ).

fof(f606,plain,
    ! [X0] :
      ( nil = skaf52(X0)
      | skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
    inference(resolution,[],[f104,f43]) ).

fof(f605,plain,
    ! [X0] :
      ( nil = skaf53(X0)
      | skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
    inference(resolution,[],[f104,f42]) ).

fof(f604,plain,
    ! [X0] :
      ( nil = skaf56(X0)
      | skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
    inference(resolution,[],[f104,f39]) ).

fof(f603,plain,
    ! [X0] :
      ( nil = skaf57(X0)
      | skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
    inference(resolution,[],[f104,f38]) ).

fof(f602,plain,
    ! [X0] :
      ( nil = skaf58(X0)
      | skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
    inference(resolution,[],[f104,f37]) ).

fof(f601,plain,
    ! [X0] :
      ( nil = skaf61(X0)
      | skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
    inference(resolution,[],[f104,f34]) ).

fof(f600,plain,
    ! [X0] :
      ( nil = skaf62(X0)
      | skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
    inference(resolution,[],[f104,f33]) ).

fof(f599,plain,
    ! [X0] :
      ( nil = skaf63(X0)
      | skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
    inference(resolution,[],[f104,f32]) ).

fof(f598,plain,
    ! [X0] :
      ( nil = skaf66(X0)
      | skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
    inference(resolution,[],[f104,f29]) ).

fof(f597,plain,
    ! [X0] :
      ( nil = skaf67(X0)
      | skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
    inference(resolution,[],[f104,f28]) ).

fof(f596,plain,
    ! [X0] :
      ( nil = skaf68(X0)
      | skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
    inference(resolution,[],[f104,f27]) ).

fof(f595,plain,
    ! [X0] :
      ( nil = skaf71(X0)
      | skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
    inference(resolution,[],[f104,f24]) ).

fof(f594,plain,
    ! [X0] :
      ( nil = skaf72(X0)
      | skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
    inference(resolution,[],[f104,f23]) ).

fof(f593,plain,
    ! [X0] :
      ( nil = skaf73(X0)
      | skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
    inference(resolution,[],[f104,f22]) ).

fof(f592,plain,
    ! [X0] :
      ( nil = skaf75(X0)
      | skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
    inference(resolution,[],[f104,f20]) ).

fof(f591,plain,
    ! [X0] :
      ( nil = skaf76(X0)
      | skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
    inference(resolution,[],[f104,f19]) ).

fof(f590,plain,
    ! [X0] :
      ( nil = skaf77(X0)
      | skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
    inference(resolution,[],[f104,f18]) ).

fof(f589,plain,
    ! [X0] :
      ( nil = skaf80(X0)
      | skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
    inference(resolution,[],[f104,f15]) ).

fof(f588,plain,
    ! [X0] :
      ( nil = skaf81(X0)
      | skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
    inference(resolution,[],[f104,f14]) ).

fof(f587,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(f324,plain,
    ! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
    inference(resolution,[],[f74,f53]) ).

fof(f323,plain,
    ! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
    inference(resolution,[],[f74,f52]) ).

fof(f322,plain,
    ! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
    inference(resolution,[],[f74,f51]) ).

fof(f321,plain,
    ! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
    inference(resolution,[],[f74,f50]) ).

fof(f320,plain,
    ! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
    inference(resolution,[],[f74,f49]) ).

fof(f529,plain,
    ! [X0] :
      ( ~ segmentP(sk2,X0)
      | ~ ssList(X0)
      | ~ segmentP(sk1,X0)
      | nil = X0 ),
    inference(subsumption_resolution,[],[f526,f8]) ).

fof(f526,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | nil = X0
      | ~ ssList(X0)
      | ~ segmentP(sk1,X0)
      | ~ segmentP(sk2,X0) ),
    inference(duplicate_literal_removal,[],[f525]) ).

fof(f525,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(X0)
      | ~ segmentP(sk1,X0)
      | ~ segmentP(sk2,X0) ),
    inference(resolution,[],[f100,f193]) ).

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

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

fof(f319,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(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(f403,plain,
    ( ~ segmentP(sk1,sk2)
    | ~ segmentP(sk2,sk2) ),
    inference(subsumption_resolution,[],[f401,f187]) ).

fof(f401,plain,
    ( ~ ssList(sk2)
    | ~ segmentP(sk1,sk2)
    | ~ segmentP(sk2,sk2) ),
    inference(resolution,[],[f193,f192]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f349,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = app(app(X0,X1),nil) ),
    inference(resolution,[],[f85,f73]) ).

fof(f348,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(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f318,plain,
    ! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
    inference(resolution,[],[f74,f44]) ).

fof(f317,plain,
    ! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
    inference(resolution,[],[f74,f43]) ).

fof(f316,plain,
    ! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
    inference(resolution,[],[f74,f42]) ).

fof(f315,plain,
    ! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
    inference(resolution,[],[f74,f39]) ).

fof(f314,plain,
    ! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
    inference(resolution,[],[f74,f38]) ).

fof(f313,plain,
    ! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
    inference(resolution,[],[f74,f37]) ).

fof(f312,plain,
    ! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
    inference(resolution,[],[f74,f34]) ).

fof(f311,plain,
    ! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
    inference(resolution,[],[f74,f33]) ).

fof(f310,plain,
    ! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
    inference(resolution,[],[f74,f32]) ).

fof(f309,plain,
    ! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
    inference(resolution,[],[f74,f29]) ).

fof(f308,plain,
    ! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
    inference(resolution,[],[f74,f28]) ).

fof(f307,plain,
    ! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
    inference(resolution,[],[f74,f27]) ).

fof(f306,plain,
    ! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
    inference(resolution,[],[f74,f24]) ).

fof(f305,plain,
    ! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
    inference(resolution,[],[f74,f23]) ).

fof(f304,plain,
    ! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
    inference(resolution,[],[f74,f22]) ).

fof(f303,plain,
    ! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
    inference(resolution,[],[f74,f20]) ).

fof(f302,plain,
    ! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
    inference(resolution,[],[f74,f19]) ).

fof(f301,plain,
    ! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
    inference(resolution,[],[f74,f18]) ).

fof(f300,plain,
    ! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
    inference(resolution,[],[f74,f15]) ).

fof(f299,plain,
    ! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
    inference(resolution,[],[f74,f14]) ).

fof(f298,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(f332,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | tl(X0) = app(tl(X0),nil) ),
    inference(resolution,[],[f75,f73]) ).

fof(f331,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(f326,plain,
    sk2 = app(nil,sk2),
    inference(resolution,[],[f74,f187]) ).

fof(f330,plain,
    sk2 = app(nil,sk2),
    inference(forward_demodulation,[],[f328,f190]) ).

fof(f328,plain,
    sk4 = app(nil,sk4),
    inference(resolution,[],[f74,f189]) ).

fof(f329,plain,
    sk1 = app(nil,sk1),
    inference(forward_demodulation,[],[f327,f191]) ).

fof(f327,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f188]) ).

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

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

fof(f296,plain,
    sk2 = app(sk2,nil),
    inference(forward_demodulation,[],[f294,f190]) ).

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

fof(f295,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(f233,plain,
    nil = app(nil,nil),
    inference(global_subsumption,[],[f186,f187,f189,f188,f191,f190,f192,f194,f195,f196,f197,f193,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f228,f199,f229,f200,f230,f82,f80,f84,f76,f78,f77,f75,f109,f104,f227,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204,f231,f205,f232,f169,f149,f225,f131,f168,f132,f100,f118,f119,f123,f133,f224,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223]) ).

fof(f227,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f201]) ).

fof(f201,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(f225,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,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(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

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(f237,plain,
    ( neq(sk1,nil)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f236,f191]) ).

fof(f236,plain,
    ( nil = sk2
    | neq(sk3,nil) ),
    inference(forward_demodulation,[],[f194,f190]) ).

fof(f242,plain,
    ( neq(sk1,nil)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f241,f191]) ).

fof(f241,plain,
    ( nil = sk1
    | neq(sk3,nil) ),
    inference(forward_demodulation,[],[f196,f191]) ).

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(f230,plain,
    frontsegP(nil,nil),
    inference(global_subsumption,[],[f186,f187,f189,f188,f191,f190,f192,f194,f195,f196,f197,f193,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f228,f199,f229,f200]) ).

fof(f229,plain,
    segmentP(nil,nil),
    inference(global_subsumption,[],[f186,f187,f189,f188,f191,f190,f192,f194,f195,f196,f197,f193,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f228,f199]) ).

fof(f228,plain,
    rearsegP(nil,nil),
    inference(global_subsumption,[],[f186,f187,f189,f188,f191,f190,f192,f194,f195,f196,f197,f193,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198]) ).

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

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(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(f221,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(f220,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(f219,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(f218,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(f217,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(f216,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(f222,plain,
    ! [X3,X0,X1] :
      ( frontsegP(cons(X3,X0),cons(X3,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | ~ ssItem(X3) ),
    inference(duplicate_literal_removal,[],[f215]) ).

fof(f215,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(f214,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(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(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(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(f212,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(f223,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f211]) ).

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

fof(f210,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(f209,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(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(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(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(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(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(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(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(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(f224,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,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(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(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(f119,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

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

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(f232,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | totalorderedP(cons(X1,nil)) ),
    inference(global_subsumption,[],[f186,f187,f189,f188,f191,f190,f192,f194,f195,f196,f197,f193,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f228,f199,f229,f200,f230,f82,f80,f84,f76,f78,f77,f75,f109,f104,f227,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204,f231,f205]) ).

fof(f205,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(f231,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | strictorderedP(cons(X1,nil)) ),
    inference(global_subsumption,[],[f186,f187,f189,f188,f191,f190,f192,f194,f195,f196,f197,f193,f11,f2,f1,f5,f6,f7,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f228,f199,f229,f200,f230,f82,f80,f84,f76,f78,f77,f75,f109,f104,f227,f226,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204]) ).

fof(f204,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(f203,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(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(f102,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssItem(X0)
      | X0 = X1
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

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

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

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

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

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

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

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

fof(f226,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ lt(X1,X1) ),
    inference(duplicate_literal_removal,[],[f202]) ).

fof(f202,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(f109,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(skaf83(X0),skaf82(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

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

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

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

fof(f200,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(f199,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(f198,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(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(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(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(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(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(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(f97,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | hd(cons(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

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

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

fof(f197,axiom,
    ( nil = sk3
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

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

fof(f194,axiom,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f1740,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_24
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1710,f993,f829,f753,f1737,f1733,f1729]) ).

fof(f1733,plain,
    ( spl0_23
  <=> strictorderedP(tl(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1737,plain,
    ( spl0_24
  <=> strictorderedP(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1710,plain,
    ( ~ strictorderedP(sk1)
    | strictorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1709,f994]) ).

fof(f1709,plain,
    ( ~ strictorderedP(sk1)
    | strictorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ ssItem(hd(sk1))
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1703,f830]) ).

fof(f1703,plain,
    ( ~ strictorderedP(sk1)
    | ~ ssList(tl(sk1))
    | strictorderedP(tl(sk1))
    | nil = tl(sk1)
    | ~ ssItem(hd(sk1))
    | ~ spl0_11 ),
    inference(superposition,[],[f124,f755]) ).

fof(f1727,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_21
    | spl0_1
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1708,f980,f635,f247,f1724,f1720,f1716]) ).

fof(f1720,plain,
    ( spl0_20
  <=> strictorderedP(tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1724,plain,
    ( spl0_21
  <=> strictorderedP(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1708,plain,
    ( ~ strictorderedP(sk2)
    | strictorderedP(tl(sk2))
    | nil = tl(sk2)
    | spl0_1
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1707,f981]) ).

fof(f1707,plain,
    ( ~ strictorderedP(sk2)
    | strictorderedP(tl(sk2))
    | nil = tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1702,f636]) ).

fof(f1702,plain,
    ( ~ strictorderedP(sk2)
    | ~ ssList(tl(sk2))
    | strictorderedP(tl(sk2))
    | nil = tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_1 ),
    inference(superposition,[],[f124,f674]) ).

fof(f1049,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_13
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1048]) ).

fof(f1048,plain,
    ( $false
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f758,f194,f195,f196,f197,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f77,f226,f157,f204,f231,f205,f232,f169,f149,f131,f168,f132,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f212,f158,f172,f213,f153,f152,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f192,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,f228,f229,f230,f48,f49,f50,f51,f52,f53,f242,f237,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f225,f227,f233,f64,f65,f66,f67,f68,f69,f70,f72,f73,f295,f296,f291,f292,f74,f329,f330,f325,f326,f75,f331,f332,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f80,f82,f84,f85,f348,f349,f193,f403,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f290,f319,f100,f101,f529,f320,f321,f322,f323,f324,f104,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f615,f616,f624,f245,f240,f618,f648,f109,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f718,f719,f617,f755,f118,f203,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f78,f830,f841,f842,f834,f76,f86,f884,f885,f886,f887,f843,f844,f98,f99,f974,f224,f1006,f721,f728,f1044,f1045,f994]) ).

fof(f1045,plain,
    ( ~ ssItem(hd(sk1))
    | ~ spl0_11
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f194,f195,f196,f197,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f77,f226,f157,f204,f231,f205,f232,f169,f149,f131,f168,f132,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f212,f158,f172,f213,f153,f152,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f192,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,f228,f229,f230,f48,f49,f50,f51,f52,f53,f242,f237,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f225,f227,f233,f64,f65,f66,f67,f68,f69,f70,f72,f73,f295,f296,f291,f292,f74,f329,f330,f325,f326,f75,f331,f332,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f80,f82,f84,f85,f348,f349,f193,f403,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f290,f319,f100,f101,f529,f320,f321,f322,f323,f324,f104,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f615,f616,f624,f245,f240,f618,f648,f109,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f718,f719,f617,f755,f118,f203,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f78,f830,f841,f842,f834,f76,f86,f884,f885,f886,f887,f843,f844,f98,f99,f974,f224,f1006,f721,f728,f1044]) ).

fof(f1044,plain,
    ( nil != sk1
    | ~ ssItem(hd(sk1))
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f898,f830]) ).

fof(f898,plain,
    ( nil != sk1
    | ~ ssList(tl(sk1))
    | ~ ssItem(hd(sk1))
    | ~ spl0_11 ),
    inference(superposition,[],[f98,f755]) ).

fof(f728,plain,
    ( sk1 = cons(skaf83(sk1),skaf82(sk1))
    | nil = sk1 ),
    inference(forward_demodulation,[],[f727,f191]) ).

fof(f727,plain,
    ( nil = sk1
    | sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
    inference(forward_demodulation,[],[f723,f191]) ).

fof(f723,plain,
    ( nil = sk3
    | sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
    inference(resolution,[],[f109,f188]) ).

fof(f721,plain,
    ( nil = sk1
    | sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
    inference(resolution,[],[f109,f186]) ).

fof(f1006,plain,
    ( ~ ssItem(hd(sk1))
    | ~ spl0_11
    | ~ spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1005,f830]) ).

fof(f1005,plain,
    ( ~ ssList(tl(sk1))
    | ~ ssItem(hd(sk1))
    | ~ spl0_11
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1002,f834]) ).

fof(f1002,plain,
    ( memberP(sk1,hd(sk1))
    | ~ ssList(tl(sk1))
    | ~ ssItem(hd(sk1))
    | ~ spl0_11 ),
    inference(superposition,[],[f224,f755]) ).

fof(f974,plain,
    ( sk1 != tl(sk1)
    | ~ ssItem(hd(sk1))
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f970,f830]) ).

fof(f970,plain,
    ( sk1 != tl(sk1)
    | ~ ssList(tl(sk1))
    | ~ ssItem(hd(sk1))
    | ~ spl0_11 ),
    inference(superposition,[],[f99,f755]) ).

fof(f844,plain,
    ( tl(sk1) = app(tl(sk1),nil)
    | ~ spl0_13 ),
    inference(resolution,[],[f830,f73]) ).

fof(f843,plain,
    ( tl(sk1) = app(nil,tl(sk1))
    | ~ spl0_13 ),
    inference(resolution,[],[f830,f74]) ).

fof(f887,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,X0),nil) ),
    inference(resolution,[],[f86,f73]) ).

fof(f886,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(nil,cons(X1,X0)) ),
    inference(resolution,[],[f86,f74]) ).

fof(f885,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(f884,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(f834,plain,
    ( ~ memberP(sk1,hd(sk1))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f833,plain,
    ( spl0_14
  <=> memberP(sk1,hd(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f842,plain,
    ( nil = tl(sk1)
    | tl(sk1) = cons(hd(tl(sk1)),tl(tl(sk1)))
    | ~ spl0_13 ),
    inference(resolution,[],[f830,f104]) ).

fof(f841,plain,
    ( nil = tl(sk1)
    | tl(sk1) = cons(skaf83(tl(sk1)),skaf82(tl(sk1)))
    | ~ spl0_13 ),
    inference(resolution,[],[f830,f109]) ).

fof(f719,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f109,f75]) ).

fof(f718,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(f716,plain,
    ! [X0,X1] :
      ( nil = skaf42(X0,X1)
      | skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
    inference(resolution,[],[f109,f53]) ).

fof(f715,plain,
    ! [X0,X1] :
      ( nil = skaf43(X0,X1)
      | skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
    inference(resolution,[],[f109,f52]) ).

fof(f714,plain,
    ! [X0,X1] :
      ( nil = skaf45(X0,X1)
      | skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
    inference(resolution,[],[f109,f51]) ).

fof(f713,plain,
    ! [X0,X1] :
      ( nil = skaf46(X0,X1)
      | skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
    inference(resolution,[],[f109,f50]) ).

fof(f712,plain,
    ! [X0,X1] :
      ( nil = skaf47(X0,X1)
      | skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
    inference(resolution,[],[f109,f49]) ).

fof(f711,plain,
    ! [X0,X1] :
      ( nil = skaf48(X0,X1)
      | skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
    inference(resolution,[],[f109,f48]) ).

fof(f710,plain,
    ! [X0] :
      ( nil = skaf51(X0)
      | skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
    inference(resolution,[],[f109,f44]) ).

fof(f709,plain,
    ! [X0] :
      ( nil = skaf52(X0)
      | skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
    inference(resolution,[],[f109,f43]) ).

fof(f708,plain,
    ! [X0] :
      ( nil = skaf53(X0)
      | skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
    inference(resolution,[],[f109,f42]) ).

fof(f707,plain,
    ! [X0] :
      ( nil = skaf56(X0)
      | skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
    inference(resolution,[],[f109,f39]) ).

fof(f706,plain,
    ! [X0] :
      ( nil = skaf57(X0)
      | skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
    inference(resolution,[],[f109,f38]) ).

fof(f705,plain,
    ! [X0] :
      ( nil = skaf58(X0)
      | skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
    inference(resolution,[],[f109,f37]) ).

fof(f704,plain,
    ! [X0] :
      ( nil = skaf61(X0)
      | skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
    inference(resolution,[],[f109,f34]) ).

fof(f703,plain,
    ! [X0] :
      ( nil = skaf62(X0)
      | skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
    inference(resolution,[],[f109,f33]) ).

fof(f702,plain,
    ! [X0] :
      ( nil = skaf63(X0)
      | skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
    inference(resolution,[],[f109,f32]) ).

fof(f701,plain,
    ! [X0] :
      ( nil = skaf66(X0)
      | skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
    inference(resolution,[],[f109,f29]) ).

fof(f700,plain,
    ! [X0] :
      ( nil = skaf67(X0)
      | skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
    inference(resolution,[],[f109,f28]) ).

fof(f699,plain,
    ! [X0] :
      ( nil = skaf68(X0)
      | skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
    inference(resolution,[],[f109,f27]) ).

fof(f698,plain,
    ! [X0] :
      ( nil = skaf71(X0)
      | skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
    inference(resolution,[],[f109,f24]) ).

fof(f697,plain,
    ! [X0] :
      ( nil = skaf72(X0)
      | skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
    inference(resolution,[],[f109,f23]) ).

fof(f696,plain,
    ! [X0] :
      ( nil = skaf73(X0)
      | skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
    inference(resolution,[],[f109,f22]) ).

fof(f695,plain,
    ! [X0] :
      ( nil = skaf75(X0)
      | skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
    inference(resolution,[],[f109,f20]) ).

fof(f694,plain,
    ! [X0] :
      ( nil = skaf76(X0)
      | skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
    inference(resolution,[],[f109,f19]) ).

fof(f693,plain,
    ! [X0] :
      ( nil = skaf77(X0)
      | skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
    inference(resolution,[],[f109,f18]) ).

fof(f692,plain,
    ! [X0] :
      ( nil = skaf80(X0)
      | skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
    inference(resolution,[],[f109,f15]) ).

fof(f691,plain,
    ! [X0] :
      ( nil = skaf81(X0)
      | skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
    inference(resolution,[],[f109,f14]) ).

fof(f690,plain,
    ! [X0] :
      ( nil = skaf82(X0)
      | skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ),
    inference(resolution,[],[f109,f13]) ).

fof(f758,plain,
    ( nil != sk1
    | spl0_12 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f757,plain,
    ( spl0_12
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1047,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | spl0_14
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1046]) ).

fof(f1046,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_13
    | spl0_14
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f194,f195,f196,f197,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f77,f226,f157,f204,f231,f205,f232,f169,f149,f131,f168,f132,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f170,f171,f176,f174,f161,f212,f158,f172,f213,f153,f152,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f192,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,f228,f229,f230,f48,f49,f50,f51,f52,f53,f242,f237,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f225,f227,f233,f64,f65,f66,f67,f68,f69,f70,f72,f73,f295,f296,f291,f292,f74,f329,f330,f325,f326,f75,f331,f332,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f80,f82,f84,f85,f348,f349,f193,f403,f87,f88,f89,f90,f91,f92,f93,f94,f95,f285,f286,f287,f288,f289,f290,f319,f100,f101,f529,f320,f321,f322,f323,f324,f104,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f609,f610,f611,f612,f613,f615,f616,f624,f245,f240,f618,f648,f109,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f713,f714,f715,f716,f718,f719,f617,f755,f118,f203,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f78,f830,f841,f842,f834,f76,f86,f884,f885,f886,f887,f843,f844,f98,f99,f974,f224,f1006,f721,f728,f1044,f1045,f994]) ).

fof(f1041,plain,
    ( ~ spl0_2
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1040]) ).

fof(f1040,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1036,f8]) ).

fof(f1036,plain,
    ( ~ ssList(nil)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(resolution,[],[f1019,f225]) ).

fof(f1019,plain,
    ( neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f253,f759]) ).

fof(f759,plain,
    ( nil = sk1
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f253,plain,
    ( neq(sk1,nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl0_2
  <=> neq(sk1,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1014,plain,
    ( spl0_12
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1013]) ).

fof(f1013,plain,
    ( $false
    | spl0_12
    | spl0_17 ),
    inference(subsumption_resolution,[],[f1012,f186]) ).

fof(f1012,plain,
    ( ~ ssList(sk1)
    | spl0_12
    | spl0_17 ),
    inference(subsumption_resolution,[],[f1011,f758]) ).

fof(f1011,plain,
    ( nil = sk1
    | ~ ssList(sk1)
    | spl0_17 ),
    inference(resolution,[],[f995,f76]) ).

fof(f995,plain,
    ( ~ ssItem(hd(sk1))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f1000,plain,
    ( ~ spl0_17
    | ~ spl0_18
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f974,f829,f753,f997,f993]) ).

fof(f997,plain,
    ( spl0_18
  <=> sk1 = tl(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f991,plain,
    ( spl0_1
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f990]) ).

fof(f990,plain,
    ( $false
    | spl0_1
    | spl0_15 ),
    inference(subsumption_resolution,[],[f989,f187]) ).

fof(f989,plain,
    ( ~ ssList(sk2)
    | spl0_1
    | spl0_15 ),
    inference(subsumption_resolution,[],[f988,f248]) ).

fof(f988,plain,
    ( nil = sk2
    | ~ ssList(sk2)
    | spl0_15 ),
    inference(resolution,[],[f982,f76]) ).

fof(f982,plain,
    ( ~ ssItem(hd(sk2))
    | spl0_15 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f987,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | spl0_1
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f973,f635,f247,f984,f980]) ).

fof(f984,plain,
    ( spl0_16
  <=> sk2 = tl(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f973,plain,
    ( sk2 != tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f969,f636]) ).

fof(f969,plain,
    ( sk2 != tl(sk2)
    | ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | spl0_1 ),
    inference(superposition,[],[f99,f674]) ).

fof(f840,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f839]) ).

fof(f839,plain,
    ( $false
    | spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f838,f186]) ).

fof(f838,plain,
    ( ~ ssList(sk1)
    | spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f837,f758]) ).

fof(f837,plain,
    ( nil = sk1
    | ~ ssList(sk1)
    | spl0_13 ),
    inference(resolution,[],[f831,f75]) ).

fof(f831,plain,
    ( ~ ssList(tl(sk1))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f836,plain,
    ( ~ spl0_13
    | spl0_14
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f761,f753,f257,f833,f829]) ).

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

fof(f761,plain,
    ( memberP(sk1,hd(sk1))
    | ~ ssList(tl(sk1))
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(superposition,[],[f431,f755]) ).

fof(f431,plain,
    ( ! [X2,X1] :
        ( memberP(cons(X1,X2),X1)
        | ~ ssList(X2) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f224,f258]) ).

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

fof(f760,plain,
    ( spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f617,f757,f753]) ).

fof(f672,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f671]) ).

fof(f671,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f665,f8]) ).

fof(f665,plain,
    ( ~ ssList(nil)
    | ~ spl0_1 ),
    inference(resolution,[],[f653,f225]) ).

fof(f653,plain,
    ( neq(nil,nil)
    | ~ spl0_1 ),
    inference(superposition,[],[f192,f249]) ).

fof(f249,plain,
    ( nil = sk2
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f670,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f669]) ).

fof(f669,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f664,f258]) ).

fof(f664,plain,
    ( ~ ssItem(nil)
    | ~ spl0_1 ),
    inference(resolution,[],[f653,f227]) ).

fof(f646,plain,
    ( spl0_1
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f645]) ).

fof(f645,plain,
    ( $false
    | spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f644,f187]) ).

fof(f644,plain,
    ( ~ ssList(sk2)
    | spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f643,f248]) ).

fof(f643,plain,
    ( nil = sk2
    | ~ ssList(sk2)
    | spl0_9 ),
    inference(resolution,[],[f637,f75]) ).

fof(f637,plain,
    ( ~ ssList(tl(sk2))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f642,plain,
    ( ~ spl0_9
    | spl0_10
    | spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f628,f257,f247,f639,f635]) ).

fof(f639,plain,
    ( spl0_10
  <=> memberP(sk2,hd(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f628,plain,
    ( memberP(sk2,hd(sk2))
    | ~ ssList(tl(sk2))
    | spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f431,f622]) ).

fof(f428,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f427]) ).

fof(f427,plain,
    ( $false
    | spl0_8 ),
    inference(subsumption_resolution,[],[f426,f186]) ).

fof(f426,plain,
    ( ~ ssList(sk1)
    | spl0_8 ),
    inference(resolution,[],[f424,f57]) ).

fof(f424,plain,
    ( ~ segmentP(sk1,sk1)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f425,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f404,f251,f422,f418]) ).

fof(f404,plain,
    ( ~ segmentP(sk1,sk1)
    | ~ segmentP(sk2,sk1)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f402,f186]) ).

fof(f402,plain,
    ( ~ ssList(sk1)
    | ~ segmentP(sk1,sk1)
    | ~ segmentP(sk2,sk1)
    | ~ spl0_2 ),
    inference(resolution,[],[f193,f253]) ).

fof(f416,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f415]) ).

fof(f415,plain,
    ( $false
    | spl0_5 ),
    inference(subsumption_resolution,[],[f414,f187]) ).

fof(f414,plain,
    ( ~ ssList(sk2)
    | spl0_5 ),
    inference(resolution,[],[f408,f57]) ).

fof(f408,plain,
    ( ~ segmentP(sk2,sk2)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f413,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f403,f410,f406]) ).

fof(f410,plain,
    ( spl0_6
  <=> segmentP(sk1,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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(f254,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f237,f251,f247]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC085-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n005.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 04:12:26 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (31930)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (31933)WARNING: value z3 for option sas not known
% 0.15/0.38  % (31933)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)
% 0.15/0.38  % (31931)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (31932)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (31934)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (31935)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)
% 0.15/0.38  % (31936)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)
% 0.15/0.38  % (31937)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)
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [2]
% 0.22/0.41  TRYING [3]
% 0.22/0.44  TRYING [1]
% 0.22/0.45  TRYING [2]
% 0.22/0.47  TRYING [4]
% 0.22/0.53  TRYING [3]
% 0.22/0.57  % (31933)First to succeed.
% 0.22/0.57  TRYING [5]
% 0.22/0.58  % (31933)Refutation found. Thanks to Tanya!
% 0.22/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.58  % (31933)------------------------------
% 0.22/0.58  % (31933)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.58  % (31933)Termination reason: Refutation
% 0.22/0.58  
% 0.22/0.58  % (31933)Memory used [KB]: 4654
% 0.22/0.58  % (31933)Time elapsed: 0.199 s
% 0.22/0.58  % (31933)Instructions burned: 704 (million)
% 0.22/0.58  % (31933)------------------------------
% 0.22/0.58  % (31933)------------------------------
% 0.22/0.58  % (31930)Success in time 0.215 s
%------------------------------------------------------------------------------