TSTP Solution File: SWC109-1 by Vampire-SAT---4.8

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC109-1 : 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 : n025.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 15:53:56 EDT 2024

% Result   : Unsatisfiable 3.78s 0.91s
% Output   : Refutation 3.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :  273
% Syntax   : Number of formulae    : 1227 ( 131 unt;   0 def)
%            Number of atoms       : 3807 ( 857 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 4572 (1992   ~;2516   |;   0   &)
%                                         (  64 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   85 (  83 usr;  65 prp; 0-2 aty)
%            Number of functors    :   56 (  56 usr;  10 con; 0-2 aty)
%            Number of variables   : 1077 (1077   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10321,plain,
    $false,
    inference(avatar_sat_refutation,[],[f263,f271,f281,f289,f719,f734,f738,f833,f849,f878,f880,f882,f884,f886,f1067,f1162,f1212,f1216,f1238,f1242,f1259,f1263,f1267,f1324,f1371,f1441,f1598,f1607,f1637,f1650,f1687,f1696,f1705,f1716,f1938,f1961,f1964,f1967,f1969,f1971,f1973,f1975,f1977,f1979,f1981,f1984,f1986,f1988,f1990,f2028,f2030,f2037,f2041,f2043,f2045,f2047,f2063,f2114,f2143,f2145,f2147,f2149,f2179,f2197,f2310,f2343,f2347,f2356,f2380,f2391,f2395,f2495,f3174,f3219,f3251,f3260,f3283,f3307,f8674,f9564,f9655,f9817,f9821,f10158,f10229,f10231,f10253,f10301,f10304,f10307]) ).

fof(f10307,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f10306]) ).

fof(f10306,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f10305,f258]) ).

fof(f258,plain,
    ( ssItem(sk5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl0_1
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f10305,plain,
    ( ~ ssItem(sk5)
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f10295,f8]) ).

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

fof(f10295,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f10276]) ).

fof(f10276,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f99,f10245]) ).

fof(f10245,plain,
    ( nil = cons(sk5,nil)
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f10176,f280]) ).

fof(f280,plain,
    ( nil = sk1
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl0_4
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f10176,plain,
    ( sk1 = cons(sk5,nil)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f861,f261]) ).

fof(f261,plain,
    ( nil != sk2
    | spl0_2 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl0_2
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f861,plain,
    ( sk1 = cons(sk5,nil)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f290,f191]) ).

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

fof(f290,plain,
    ( nil = sk2
    | sk3 = cons(sk5,nil) ),
    inference(forward_demodulation,[],[f196,f190]) ).

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

fof(f196,axiom,
    ( nil = sk4
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

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

fof(f10304,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f10303]) ).

fof(f10303,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f10302,f258]) ).

fof(f10302,plain,
    ( ~ ssItem(sk5)
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f10296,f8]) ).

fof(f10296,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f10275]) ).

fof(f10275,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f98,f10245]) ).

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

fof(f10301,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f10300]) ).

fof(f10300,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f10299,f8]) ).

fof(f10299,plain,
    ( ~ ssList(nil)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f10298,f10245]) ).

fof(f10298,plain,
    ( ~ ssList(cons(sk5,nil))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f10297,f258]) ).

fof(f10297,plain,
    ( ~ ssList(cons(sk5,nil))
    | ~ ssItem(sk5)
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f10273,f11]) ).

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

fof(f10273,plain,
    ( singletonP(nil)
    | ~ ssList(cons(sk5,nil))
    | ~ ssItem(sk5)
    | spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f215,f10245]) ).

fof(f215,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/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f10253,plain,
    ( ~ spl0_4
    | ~ spl0_46
    | ~ spl0_52 ),
    inference(avatar_contradiction_clause,[],[f10252]) ).

fof(f10252,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_46
    | ~ spl0_52 ),
    inference(subsumption_resolution,[],[f10250,f2308]) ).

fof(f2308,plain,
    ( ssItem(hd(nil))
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f2307]) ).

fof(f2307,plain,
    ( spl0_46
  <=> ssItem(hd(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f10250,plain,
    ( ~ ssItem(hd(nil))
    | ~ spl0_4
    | ~ spl0_52 ),
    inference(resolution,[],[f10211,f71]) ).

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

fof(f10211,plain,
    ( memberP(nil,hd(nil))
    | ~ spl0_4
    | ~ spl0_52 ),
    inference(superposition,[],[f2390,f280]) ).

fof(f2390,plain,
    ( memberP(sk1,hd(sk1))
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f2388]) ).

fof(f2388,plain,
    ( spl0_52
  <=> memberP(sk1,hd(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f10231,plain,
    ( ~ spl0_4
    | spl0_45
    | ~ spl0_51 ),
    inference(avatar_contradiction_clause,[],[f10230]) ).

fof(f10230,plain,
    ( $false
    | ~ spl0_4
    | spl0_45
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f10210,f2305]) ).

fof(f2305,plain,
    ( ~ ssList(tl(nil))
    | spl0_45 ),
    inference(avatar_component_clause,[],[f2303]) ).

fof(f2303,plain,
    ( spl0_45
  <=> ssList(tl(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f10210,plain,
    ( ssList(tl(nil))
    | ~ spl0_4
    | ~ spl0_51 ),
    inference(superposition,[],[f2385,f280]) ).

fof(f2385,plain,
    ( ssList(tl(sk1))
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f2384]) ).

fof(f2384,plain,
    ( spl0_51
  <=> ssList(tl(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f10229,plain,
    ( ~ spl0_4
    | spl0_46
    | ~ spl0_47 ),
    inference(avatar_contradiction_clause,[],[f10228]) ).

fof(f10228,plain,
    ( $false
    | ~ spl0_4
    | spl0_46
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f10208,f2309]) ).

fof(f2309,plain,
    ( ~ ssItem(hd(nil))
    | spl0_46 ),
    inference(avatar_component_clause,[],[f2307]) ).

fof(f10208,plain,
    ( ssItem(hd(nil))
    | ~ spl0_4
    | ~ spl0_47 ),
    inference(superposition,[],[f2337,f280]) ).

fof(f2337,plain,
    ( ssItem(hd(sk1))
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f2336]) ).

fof(f2336,plain,
    ( spl0_47
  <=> ssItem(hd(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f10158,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f10157]) ).

fof(f10157,plain,
    ( $false
    | ~ spl0_3
    | spl0_4
    | spl0_15 ),
    inference(subsumption_resolution,[],[f10156,f186]) ).

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

fof(f10156,plain,
    ( ~ ssList(sk1)
    | ~ spl0_3
    | spl0_4
    | spl0_15 ),
    inference(resolution,[],[f10152,f57]) ).

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

fof(f10152,plain,
    ( ~ segmentP(sk1,sk1)
    | ~ spl0_3
    | spl0_4
    | spl0_15 ),
    inference(subsumption_resolution,[],[f10145,f186]) ).

fof(f10145,plain,
    ( ~ ssList(sk1)
    | ~ segmentP(sk1,sk1)
    | ~ spl0_3
    | spl0_4
    | spl0_15 ),
    inference(resolution,[],[f9625,f1254]) ).

fof(f1254,plain,
    ( ~ segmentP(sk2,sk1)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f1252]) ).

fof(f1252,plain,
    ( spl0_15
  <=> segmentP(sk2,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f9625,plain,
    ( ! [X0] :
        ( segmentP(sk2,X0)
        | ~ ssList(X0)
        | ~ segmentP(sk1,X0) )
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f9624,f282]) ).

fof(f282,plain,
    ( ssList(sk7)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f254,f279]) ).

fof(f279,plain,
    ( nil != sk1
    | spl0_4 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f254,plain,
    ( nil = sk1
    | ssList(sk7) ),
    inference(forward_demodulation,[],[f201,f191]) ).

fof(f201,axiom,
    ( ssList(sk7)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f9624,plain,
    ( ! [X0] :
        ( segmentP(sk2,X0)
        | ~ ssList(X0)
        | ~ segmentP(sk1,X0)
        | ~ ssList(sk7) )
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f9623,f276]) ).

fof(f276,plain,
    ( ssList(sk6)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl0_3
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f9623,plain,
    ( ! [X0] :
        ( segmentP(sk2,X0)
        | ~ ssList(X0)
        | ~ ssList(sk6)
        | ~ segmentP(sk1,X0)
        | ~ ssList(sk7) )
    | spl0_4 ),
    inference(subsumption_resolution,[],[f9598,f186]) ).

fof(f9598,plain,
    ( ! [X0] :
        ( segmentP(sk2,X0)
        | ~ ssList(sk1)
        | ~ ssList(X0)
        | ~ ssList(sk6)
        | ~ segmentP(sk1,X0)
        | ~ ssList(sk7) )
    | spl0_4 ),
    inference(superposition,[],[f172,f1069]) ).

fof(f1069,plain,
    ( sk2 = app(app(sk6,sk1),sk7)
    | spl0_4 ),
    inference(forward_demodulation,[],[f1068,f190]) ).

fof(f1068,plain,
    ( sk4 = app(app(sk6,sk1),sk7)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f838,f279]) ).

fof(f838,plain,
    ( sk4 = app(app(sk6,sk1),sk7)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f385,f191]) ).

fof(f385,plain,
    ( nil = sk1
    | sk4 = app(app(sk6,sk3),sk7) ),
    inference(forward_demodulation,[],[f203,f191]) ).

fof(f203,axiom,
    ( nil = sk3
    | sk4 = app(app(sk6,sk3),sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

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/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f9821,plain,
    ( spl0_4
    | spl0_12
    | spl0_63 ),
    inference(avatar_contradiction_clause,[],[f9820]) ).

fof(f9820,plain,
    ( $false
    | spl0_4
    | spl0_12
    | spl0_63 ),
    inference(subsumption_resolution,[],[f9819,f282]) ).

fof(f9819,plain,
    ( ~ ssList(sk7)
    | spl0_12
    | spl0_63 ),
    inference(subsumption_resolution,[],[f9818,f831]) ).

fof(f831,plain,
    ( nil != sk7
    | spl0_12 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f830,plain,
    ( spl0_12
  <=> nil = sk7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f9818,plain,
    ( nil = sk7
    | ~ ssList(sk7)
    | spl0_63 ),
    inference(resolution,[],[f9812,f76]) ).

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

fof(f9812,plain,
    ( ~ ssItem(hd(sk7))
    | spl0_63 ),
    inference(avatar_component_clause,[],[f9810]) ).

fof(f9810,plain,
    ( spl0_63
  <=> ssItem(hd(sk7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f9817,plain,
    ( ~ spl0_63
    | ~ spl0_64
    | spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f9568,f826,f278,f9814,f9810]) ).

fof(f9814,plain,
    ( spl0_64
  <=> sk7 = tl(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f826,plain,
    ( spl0_11
  <=> sk7 = cons(hd(sk7),tl(sk7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f9568,plain,
    ( sk7 != tl(sk7)
    | ~ ssItem(hd(sk7))
    | spl0_4
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f9567,f282]) ).

fof(f9567,plain,
    ( sk7 != tl(sk7)
    | ~ ssList(sk7)
    | ~ ssItem(hd(sk7))
    | ~ spl0_11 ),
    inference(inner_rewriting,[],[f2319]) ).

fof(f2319,plain,
    ( sk7 != tl(sk7)
    | ~ ssList(tl(sk7))
    | ~ ssItem(hd(sk7))
    | ~ spl0_11 ),
    inference(superposition,[],[f99,f828]) ).

fof(f828,plain,
    ( sk7 = cons(hd(sk7),tl(sk7))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f9655,plain,
    ( spl0_61
    | ~ spl0_62
    | spl0_4
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f9634,f1209,f278,f9652,f9648]) ).

fof(f9648,plain,
    ( spl0_61
  <=> sk2 = sk7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f9652,plain,
    ( spl0_62
  <=> rearsegP(sk7,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1209,plain,
    ( spl0_14
  <=> ssList(app(sk6,sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f9634,plain,
    ( ~ rearsegP(sk7,sk2)
    | sk2 = sk7
    | spl0_4
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f9633,f187]) ).

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

fof(f9633,plain,
    ( ~ ssList(sk2)
    | ~ rearsegP(sk7,sk2)
    | sk2 = sk7
    | spl0_4
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f9628,f282]) ).

fof(f9628,plain,
    ( ~ ssList(sk7)
    | ~ ssList(sk2)
    | ~ rearsegP(sk7,sk2)
    | sk2 = sk7
    | spl0_4
    | ~ spl0_14 ),
    inference(resolution,[],[f9620,f128]) ).

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

fof(f9620,plain,
    ( rearsegP(sk2,sk7)
    | spl0_4
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f9619,f1210]) ).

fof(f1210,plain,
    ( ssList(app(sk6,sk1))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f9619,plain,
    ( rearsegP(sk2,sk7)
    | ~ ssList(app(sk6,sk1))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f9595,f282]) ).

fof(f9595,plain,
    ( rearsegP(sk2,sk7)
    | ~ ssList(sk7)
    | ~ ssList(app(sk6,sk1))
    | spl0_4 ),
    inference(superposition,[],[f1817,f1069]) ).

fof(f1817,plain,
    ! [X0,X1] :
      ( rearsegP(app(X0,X1),X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f220,f85]) ).

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

fof(f220,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/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f9564,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f9563]) ).

fof(f9563,plain,
    ( $false
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | spl0_15 ),
    inference(subsumption_resolution,[],[f9562,f186]) ).

fof(f9562,plain,
    ( ~ ssList(sk1)
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | spl0_15 ),
    inference(resolution,[],[f9558,f57]) ).

fof(f9558,plain,
    ( ~ segmentP(sk1,sk1)
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | spl0_15 ),
    inference(subsumption_resolution,[],[f9551,f186]) ).

fof(f9551,plain,
    ( ~ ssList(sk1)
    | ~ segmentP(sk1,sk1)
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | spl0_15 ),
    inference(resolution,[],[f9541,f1254]) ).

fof(f9541,plain,
    ( ! [X0] :
        ( segmentP(sk2,X0)
        | ~ ssList(X0)
        | ~ segmentP(sk1,X0) )
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f9540,f8]) ).

fof(f9540,plain,
    ( ! [X0] :
        ( segmentP(sk2,X0)
        | ~ ssList(X0)
        | ~ segmentP(sk1,X0)
        | ~ ssList(nil) )
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f9539,f276]) ).

fof(f9539,plain,
    ( ! [X0] :
        ( segmentP(sk2,X0)
        | ~ ssList(X0)
        | ~ ssList(sk6)
        | ~ segmentP(sk1,X0)
        | ~ ssList(nil) )
    | spl0_4
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f9310,f186]) ).

fof(f9310,plain,
    ( ! [X0] :
        ( segmentP(sk2,X0)
        | ~ ssList(sk1)
        | ~ ssList(X0)
        | ~ ssList(sk6)
        | ~ segmentP(sk1,X0)
        | ~ ssList(nil) )
    | spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f172,f1243]) ).

fof(f1243,plain,
    ( sk2 = app(app(sk6,sk1),nil)
    | spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1069,f832]) ).

fof(f832,plain,
    ( nil = sk7
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f8674,plain,
    ( ~ spl0_1
    | spl0_4
    | spl0_57 ),
    inference(avatar_contradiction_clause,[],[f8673]) ).

fof(f8673,plain,
    ( $false
    | ~ spl0_1
    | spl0_4
    | spl0_57 ),
    inference(subsumption_resolution,[],[f8672,f3245]) ).

fof(f3245,plain,
    ( nil != skaf82(sk1)
    | spl0_57 ),
    inference(avatar_component_clause,[],[f3244]) ).

fof(f3244,plain,
    ( spl0_57
  <=> nil = skaf82(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f8672,plain,
    ( nil = skaf82(sk1)
    | ~ spl0_1
    | spl0_4 ),
    inference(forward_demodulation,[],[f8651,f2572]) ).

fof(f2572,plain,
    ( nil = tl(sk1)
    | ~ spl0_1
    | spl0_4 ),
    inference(forward_demodulation,[],[f2530,f910]) ).

fof(f910,plain,
    ( sk1 = cons(sk5,nil)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f845,f279]) ).

fof(f845,plain,
    ( sk1 = cons(sk5,nil)
    | nil = sk1 ),
    inference(forward_demodulation,[],[f291,f191]) ).

fof(f291,plain,
    ( nil = sk1
    | sk3 = cons(sk5,nil) ),
    inference(forward_demodulation,[],[f202,f191]) ).

fof(f202,axiom,
    ( nil = sk3
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f2530,plain,
    ( nil = tl(cons(sk5,nil))
    | ~ spl0_1 ),
    inference(resolution,[],[f2529,f8]) ).

fof(f2529,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | tl(cons(sk5,X0)) = X0 )
    | ~ spl0_1 ),
    inference(resolution,[],[f96,f258]) ).

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

fof(f8651,plain,
    ( tl(sk1) = skaf82(sk1)
    | ~ spl0_1
    | spl0_4 ),
    inference(superposition,[],[f2531,f8616]) ).

fof(f8616,plain,
    ( sk1 = cons(sk5,skaf82(sk1))
    | ~ spl0_1
    | spl0_4 ),
    inference(superposition,[],[f978,f8611]) ).

fof(f8611,plain,
    ( sk5 = skaf83(sk1)
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f8607,f12]) ).

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

fof(f8607,plain,
    ( ~ ssItem(skaf83(sk1))
    | sk5 = skaf83(sk1)
    | ~ spl0_1
    | spl0_4 ),
    inference(resolution,[],[f8606,f2369]) ).

fof(f2369,plain,
    ( memberP(sk1,skaf83(sk1))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f2368,f12]) ).

fof(f2368,plain,
    ( memberP(sk1,skaf83(sk1))
    | ~ ssItem(skaf83(sk1))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f2358,f13]) ).

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

fof(f2358,plain,
    ( memberP(sk1,skaf83(sk1))
    | ~ ssList(skaf82(sk1))
    | ~ ssItem(skaf83(sk1))
    | spl0_4 ),
    inference(superposition,[],[f236,f978]) ).

fof(f236,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f219]) ).

fof(f219,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/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f8606,plain,
    ( ! [X0] :
        ( ~ memberP(sk1,X0)
        | ~ ssItem(X0)
        | sk5 = X0 )
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f8605,f71]) ).

fof(f8605,plain,
    ( ! [X0] :
        ( ~ memberP(sk1,X0)
        | ~ ssItem(X0)
        | sk5 = X0
        | memberP(nil,X0) )
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f8604,f258]) ).

fof(f8604,plain,
    ( ! [X0] :
        ( ~ memberP(sk1,X0)
        | ~ ssItem(X0)
        | sk5 = X0
        | memberP(nil,X0)
        | ~ ssItem(sk5) )
    | spl0_4 ),
    inference(subsumption_resolution,[],[f8575,f8]) ).

fof(f8575,plain,
    ( ! [X0] :
        ( ~ memberP(sk1,X0)
        | ~ ssItem(X0)
        | ~ ssList(nil)
        | sk5 = X0
        | memberP(nil,X0)
        | ~ ssItem(sk5) )
    | spl0_4 ),
    inference(superposition,[],[f161,f910]) ).

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/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f978,plain,
    ( sk1 = cons(skaf83(sk1),skaf82(sk1))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f785,f279]) ).

fof(f785,plain,
    ( nil = sk1
    | sk1 = cons(skaf83(sk1),skaf82(sk1)) ),
    inference(resolution,[],[f109,f186]) ).

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

fof(f2531,plain,
    ( ! [X0] : skaf82(X0) = tl(cons(sk5,skaf82(X0)))
    | ~ spl0_1 ),
    inference(resolution,[],[f2529,f13]) ).

fof(f3307,plain,
    ( ~ spl0_59
    | spl0_60 ),
    inference(avatar_contradiction_clause,[],[f3306]) ).

fof(f3306,plain,
    ( $false
    | ~ spl0_59
    | spl0_60 ),
    inference(subsumption_resolution,[],[f3301,f3]) ).

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

fof(f3301,plain,
    ( ~ strictorderedP(nil)
    | ~ spl0_59
    | spl0_60 ),
    inference(superposition,[],[f3258,f3255]) ).

fof(f3255,plain,
    ( nil = tl(sk6)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f3253]) ).

fof(f3253,plain,
    ( spl0_59
  <=> nil = tl(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f3258,plain,
    ( ~ strictorderedP(tl(sk6))
    | spl0_60 ),
    inference(avatar_component_clause,[],[f3257]) ).

fof(f3257,plain,
    ( spl0_60
  <=> strictorderedP(tl(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f3283,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_25
    | spl0_31
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f3282]) ).

fof(f3282,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | spl0_25
    | spl0_31
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f3281,f12]) ).

fof(f3281,plain,
    ( ~ ssItem(skaf83(sk6))
    | ~ spl0_3
    | spl0_8
    | spl0_25
    | spl0_31
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f3280,f1627]) ).

fof(f1627,plain,
    ( nil != skaf82(sk6)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f1626]) ).

fof(f1626,plain,
    ( spl0_25
  <=> nil = skaf82(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f3280,plain,
    ( nil = skaf82(sk6)
    | ~ ssItem(skaf83(sk6))
    | ~ spl0_3
    | spl0_8
    | spl0_31
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f3279,f1681]) ).

fof(f1681,plain,
    ( ~ totalorderedP(skaf82(sk6))
    | spl0_31 ),
    inference(avatar_component_clause,[],[f1680]) ).

fof(f1680,plain,
    ( spl0_31
  <=> totalorderedP(skaf82(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f3279,plain,
    ( totalorderedP(skaf82(sk6))
    | nil = skaf82(sk6)
    | ~ ssItem(skaf83(sk6))
    | ~ spl0_3
    | spl0_8
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f3278,f13]) ).

fof(f3278,plain,
    ( ~ ssList(skaf82(sk6))
    | totalorderedP(skaf82(sk6))
    | nil = skaf82(sk6)
    | ~ ssItem(skaf83(sk6))
    | ~ spl0_3
    | spl0_8
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f3264,f1685]) ).

fof(f1685,plain,
    ( totalorderedP(sk6)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f1684]) ).

fof(f1684,plain,
    ( spl0_32
  <=> totalorderedP(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f3264,plain,
    ( ~ totalorderedP(sk6)
    | ~ ssList(skaf82(sk6))
    | totalorderedP(skaf82(sk6))
    | nil = skaf82(sk6)
    | ~ ssItem(skaf83(sk6))
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f125,f2156]) ).

fof(f2156,plain,
    ( sk6 = cons(skaf83(sk6),skaf82(sk6))
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f77,f238,f157,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f139,f141,f140,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f276,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f340,f74,f381,f374,f378,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f699,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f845,f853,f786,f854,f861,f252,f208,f240,f254,f118,f717,f1072,f119,f696,f207,f382,f344,f337,f375,f127,f128,f129,f1817,f1901,f1943,f130,f126,f125,f124,f122,f121,f120,f215,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f236,f99,f98,f86,f78,f76,f789]) ).

fof(f789,plain,
    ( nil = sk6
    | sk6 = cons(skaf83(sk6),skaf82(sk6))
    | ~ spl0_3 ),
    inference(resolution,[],[f109,f276]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f1943,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f221,f85]) ).

fof(f1901,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ rearsegP(X0,app(X1,X0))
      | app(X1,X0) = X0 ),
    inference(subsumption_resolution,[],[f1900,f85]) ).

fof(f1900,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X0))
      | ~ rearsegP(X0,app(X1,X0))
      | app(X1,X0) = X0 ),
    inference(duplicate_literal_removal,[],[f1818]) ).

fof(f1818,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X1,X0))
      | ~ rearsegP(X0,app(X1,X0))
      | app(X1,X0) = X0 ),
    inference(resolution,[],[f1817,f128]) ).

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

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

fof(f375,plain,
    sk2 = app(nil,sk2),
    inference(resolution,[],[f74,f187]) ).

fof(f337,plain,
    sk2 = app(sk2,nil),
    inference(resolution,[],[f73,f187]) ).

fof(f344,plain,
    sk2 = app(sk2,nil),
    inference(forward_demodulation,[],[f339,f190]) ).

fof(f339,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f189]) ).

fof(f382,plain,
    sk2 = app(nil,sk2),
    inference(forward_demodulation,[],[f377,f190]) ).

fof(f377,plain,
    sk4 = app(nil,sk4),
    inference(resolution,[],[f74,f189]) ).

fof(f207,axiom,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1)
    | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).

fof(f696,plain,
    ( nil = sk2
    | sk2 = cons(hd(sk2),tl(sk2)) ),
    inference(resolution,[],[f104,f187]) ).

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

fof(f1072,plain,
    ( sk6 = cons(skaf83(sk6),skaf82(sk6))
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f276,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f340,f74,f381,f374,f378,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f699,f717,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f845,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f252,f208,f240,f254,f118,f789]) ).

fof(f717,plain,
    ( nil != sk6
    | spl0_8 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl0_8
  <=> nil = sk6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

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

fof(f240,plain,
    ( nil != sk1
    | ~ neq(nil,nil)
    | ~ segmentP(sk2,nil) ),
    inference(inner_rewriting,[],[f209]) ).

fof(f208,axiom,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).

fof(f252,plain,
    ( nil = sk2
    | ssList(sk7) ),
    inference(forward_demodulation,[],[f195,f190]) ).

fof(f854,plain,
    ( sk2 = cons(hd(sk2),tl(sk2))
    | nil = sk2 ),
    inference(forward_demodulation,[],[f710,f190]) ).

fof(f710,plain,
    ( nil = sk2
    | sk4 = cons(hd(sk4),tl(sk4)) ),
    inference(forward_demodulation,[],[f698,f190]) ).

fof(f698,plain,
    ( nil = sk4
    | sk4 = cons(hd(sk4),tl(sk4)) ),
    inference(resolution,[],[f104,f189]) ).

fof(f786,plain,
    ( nil = sk2
    | sk2 = cons(skaf83(sk2),skaf82(sk2)) ),
    inference(resolution,[],[f109,f187]) ).

fof(f853,plain,
    ( sk2 = cons(skaf83(sk2),skaf82(sk2))
    | nil = sk2 ),
    inference(forward_demodulation,[],[f796,f190]) ).

fof(f796,plain,
    ( nil = sk2
    | sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
    inference(forward_demodulation,[],[f788,f190]) ).

fof(f788,plain,
    ( nil = sk4
    | sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
    inference(resolution,[],[f109,f189]) ).

fof(f695,plain,
    ( nil = sk1
    | sk1 = cons(hd(sk1),tl(sk1)) ),
    inference(resolution,[],[f104,f186]) ).

fof(f835,plain,
    ( sk1 = cons(hd(sk1),tl(sk1))
    | nil = sk1 ),
    inference(forward_demodulation,[],[f705,f191]) ).

fof(f705,plain,
    ( nil = sk1
    | sk3 = cons(hd(sk3),tl(sk3)) ),
    inference(forward_demodulation,[],[f697,f191]) ).

fof(f697,plain,
    ( nil = sk3
    | sk3 = cons(hd(sk3),tl(sk3)) ),
    inference(resolution,[],[f104,f188]) ).

fof(f834,plain,
    ( sk1 = cons(skaf83(sk1),skaf82(sk1))
    | nil = sk1 ),
    inference(forward_demodulation,[],[f793,f191]) ).

fof(f793,plain,
    ( nil = sk1
    | sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
    inference(forward_demodulation,[],[f787,f191]) ).

fof(f787,plain,
    ( nil = sk3
    | sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
    inference(resolution,[],[f109,f188]) ).

fof(f784,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f109,f75]) ).

fof(f783,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(f781,plain,
    ! [X0,X1] :
      ( nil = skaf42(X0,X1)
      | skaf42(X0,X1) = cons(skaf83(skaf42(X0,X1)),skaf82(skaf42(X0,X1))) ),
    inference(resolution,[],[f109,f53]) ).

fof(f780,plain,
    ! [X0,X1] :
      ( nil = skaf43(X0,X1)
      | skaf43(X0,X1) = cons(skaf83(skaf43(X0,X1)),skaf82(skaf43(X0,X1))) ),
    inference(resolution,[],[f109,f52]) ).

fof(f779,plain,
    ! [X0,X1] :
      ( nil = skaf45(X0,X1)
      | skaf45(X0,X1) = cons(skaf83(skaf45(X0,X1)),skaf82(skaf45(X0,X1))) ),
    inference(resolution,[],[f109,f51]) ).

fof(f778,plain,
    ! [X0,X1] :
      ( nil = skaf46(X0,X1)
      | skaf46(X0,X1) = cons(skaf83(skaf46(X0,X1)),skaf82(skaf46(X0,X1))) ),
    inference(resolution,[],[f109,f50]) ).

fof(f777,plain,
    ! [X0,X1] :
      ( nil = skaf47(X0,X1)
      | skaf47(X0,X1) = cons(skaf83(skaf47(X0,X1)),skaf82(skaf47(X0,X1))) ),
    inference(resolution,[],[f109,f49]) ).

fof(f776,plain,
    ! [X0,X1] :
      ( nil = skaf48(X0,X1)
      | skaf48(X0,X1) = cons(skaf83(skaf48(X0,X1)),skaf82(skaf48(X0,X1))) ),
    inference(resolution,[],[f109,f48]) ).

fof(f775,plain,
    ! [X0] :
      ( nil = skaf51(X0)
      | skaf51(X0) = cons(skaf83(skaf51(X0)),skaf82(skaf51(X0))) ),
    inference(resolution,[],[f109,f44]) ).

fof(f774,plain,
    ! [X0] :
      ( nil = skaf52(X0)
      | skaf52(X0) = cons(skaf83(skaf52(X0)),skaf82(skaf52(X0))) ),
    inference(resolution,[],[f109,f43]) ).

fof(f773,plain,
    ! [X0] :
      ( nil = skaf53(X0)
      | skaf53(X0) = cons(skaf83(skaf53(X0)),skaf82(skaf53(X0))) ),
    inference(resolution,[],[f109,f42]) ).

fof(f772,plain,
    ! [X0] :
      ( nil = skaf56(X0)
      | skaf56(X0) = cons(skaf83(skaf56(X0)),skaf82(skaf56(X0))) ),
    inference(resolution,[],[f109,f39]) ).

fof(f771,plain,
    ! [X0] :
      ( nil = skaf57(X0)
      | skaf57(X0) = cons(skaf83(skaf57(X0)),skaf82(skaf57(X0))) ),
    inference(resolution,[],[f109,f38]) ).

fof(f770,plain,
    ! [X0] :
      ( nil = skaf58(X0)
      | skaf58(X0) = cons(skaf83(skaf58(X0)),skaf82(skaf58(X0))) ),
    inference(resolution,[],[f109,f37]) ).

fof(f769,plain,
    ! [X0] :
      ( nil = skaf61(X0)
      | skaf61(X0) = cons(skaf83(skaf61(X0)),skaf82(skaf61(X0))) ),
    inference(resolution,[],[f109,f34]) ).

fof(f768,plain,
    ! [X0] :
      ( nil = skaf62(X0)
      | skaf62(X0) = cons(skaf83(skaf62(X0)),skaf82(skaf62(X0))) ),
    inference(resolution,[],[f109,f33]) ).

fof(f767,plain,
    ! [X0] :
      ( nil = skaf63(X0)
      | skaf63(X0) = cons(skaf83(skaf63(X0)),skaf82(skaf63(X0))) ),
    inference(resolution,[],[f109,f32]) ).

fof(f766,plain,
    ! [X0] :
      ( nil = skaf66(X0)
      | skaf66(X0) = cons(skaf83(skaf66(X0)),skaf82(skaf66(X0))) ),
    inference(resolution,[],[f109,f29]) ).

fof(f765,plain,
    ! [X0] :
      ( nil = skaf67(X0)
      | skaf67(X0) = cons(skaf83(skaf67(X0)),skaf82(skaf67(X0))) ),
    inference(resolution,[],[f109,f28]) ).

fof(f764,plain,
    ! [X0] :
      ( nil = skaf68(X0)
      | skaf68(X0) = cons(skaf83(skaf68(X0)),skaf82(skaf68(X0))) ),
    inference(resolution,[],[f109,f27]) ).

fof(f763,plain,
    ! [X0] :
      ( nil = skaf71(X0)
      | skaf71(X0) = cons(skaf83(skaf71(X0)),skaf82(skaf71(X0))) ),
    inference(resolution,[],[f109,f24]) ).

fof(f762,plain,
    ! [X0] :
      ( nil = skaf72(X0)
      | skaf72(X0) = cons(skaf83(skaf72(X0)),skaf82(skaf72(X0))) ),
    inference(resolution,[],[f109,f23]) ).

fof(f761,plain,
    ! [X0] :
      ( nil = skaf73(X0)
      | skaf73(X0) = cons(skaf83(skaf73(X0)),skaf82(skaf73(X0))) ),
    inference(resolution,[],[f109,f22]) ).

fof(f760,plain,
    ! [X0] :
      ( nil = skaf75(X0)
      | skaf75(X0) = cons(skaf83(skaf75(X0)),skaf82(skaf75(X0))) ),
    inference(resolution,[],[f109,f20]) ).

fof(f759,plain,
    ! [X0] :
      ( nil = skaf76(X0)
      | skaf76(X0) = cons(skaf83(skaf76(X0)),skaf82(skaf76(X0))) ),
    inference(resolution,[],[f109,f19]) ).

fof(f758,plain,
    ! [X0] :
      ( nil = skaf77(X0)
      | skaf77(X0) = cons(skaf83(skaf77(X0)),skaf82(skaf77(X0))) ),
    inference(resolution,[],[f109,f18]) ).

fof(f757,plain,
    ! [X0] :
      ( nil = skaf80(X0)
      | skaf80(X0) = cons(skaf83(skaf80(X0)),skaf82(skaf80(X0))) ),
    inference(resolution,[],[f109,f15]) ).

fof(f756,plain,
    ! [X0] :
      ( nil = skaf81(X0)
      | skaf81(X0) = cons(skaf83(skaf81(X0)),skaf82(skaf81(X0))) ),
    inference(resolution,[],[f109,f14]) ).

fof(f755,plain,
    ! [X0] :
      ( nil = skaf82(X0)
      | skaf82(X0) = cons(skaf83(skaf82(X0)),skaf82(skaf82(X0))) ),
    inference(resolution,[],[f109,f13]) ).

fof(f699,plain,
    ( nil = sk6
    | sk6 = cons(hd(sk6),tl(sk6))
    | ~ spl0_3 ),
    inference(resolution,[],[f104,f276]) ).

fof(f694,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f104,f75]) ).

fof(f693,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(f691,plain,
    ! [X0,X1] :
      ( nil = skaf42(X0,X1)
      | skaf42(X0,X1) = cons(hd(skaf42(X0,X1)),tl(skaf42(X0,X1))) ),
    inference(resolution,[],[f104,f53]) ).

fof(f690,plain,
    ! [X0,X1] :
      ( nil = skaf43(X0,X1)
      | skaf43(X0,X1) = cons(hd(skaf43(X0,X1)),tl(skaf43(X0,X1))) ),
    inference(resolution,[],[f104,f52]) ).

fof(f689,plain,
    ! [X0,X1] :
      ( nil = skaf45(X0,X1)
      | skaf45(X0,X1) = cons(hd(skaf45(X0,X1)),tl(skaf45(X0,X1))) ),
    inference(resolution,[],[f104,f51]) ).

fof(f688,plain,
    ! [X0,X1] :
      ( nil = skaf46(X0,X1)
      | skaf46(X0,X1) = cons(hd(skaf46(X0,X1)),tl(skaf46(X0,X1))) ),
    inference(resolution,[],[f104,f50]) ).

fof(f687,plain,
    ! [X0,X1] :
      ( nil = skaf47(X0,X1)
      | skaf47(X0,X1) = cons(hd(skaf47(X0,X1)),tl(skaf47(X0,X1))) ),
    inference(resolution,[],[f104,f49]) ).

fof(f686,plain,
    ! [X0,X1] :
      ( nil = skaf48(X0,X1)
      | skaf48(X0,X1) = cons(hd(skaf48(X0,X1)),tl(skaf48(X0,X1))) ),
    inference(resolution,[],[f104,f48]) ).

fof(f685,plain,
    ! [X0] :
      ( nil = skaf51(X0)
      | skaf51(X0) = cons(hd(skaf51(X0)),tl(skaf51(X0))) ),
    inference(resolution,[],[f104,f44]) ).

fof(f684,plain,
    ! [X0] :
      ( nil = skaf52(X0)
      | skaf52(X0) = cons(hd(skaf52(X0)),tl(skaf52(X0))) ),
    inference(resolution,[],[f104,f43]) ).

fof(f683,plain,
    ! [X0] :
      ( nil = skaf53(X0)
      | skaf53(X0) = cons(hd(skaf53(X0)),tl(skaf53(X0))) ),
    inference(resolution,[],[f104,f42]) ).

fof(f682,plain,
    ! [X0] :
      ( nil = skaf56(X0)
      | skaf56(X0) = cons(hd(skaf56(X0)),tl(skaf56(X0))) ),
    inference(resolution,[],[f104,f39]) ).

fof(f681,plain,
    ! [X0] :
      ( nil = skaf57(X0)
      | skaf57(X0) = cons(hd(skaf57(X0)),tl(skaf57(X0))) ),
    inference(resolution,[],[f104,f38]) ).

fof(f680,plain,
    ! [X0] :
      ( nil = skaf58(X0)
      | skaf58(X0) = cons(hd(skaf58(X0)),tl(skaf58(X0))) ),
    inference(resolution,[],[f104,f37]) ).

fof(f679,plain,
    ! [X0] :
      ( nil = skaf61(X0)
      | skaf61(X0) = cons(hd(skaf61(X0)),tl(skaf61(X0))) ),
    inference(resolution,[],[f104,f34]) ).

fof(f678,plain,
    ! [X0] :
      ( nil = skaf62(X0)
      | skaf62(X0) = cons(hd(skaf62(X0)),tl(skaf62(X0))) ),
    inference(resolution,[],[f104,f33]) ).

fof(f677,plain,
    ! [X0] :
      ( nil = skaf63(X0)
      | skaf63(X0) = cons(hd(skaf63(X0)),tl(skaf63(X0))) ),
    inference(resolution,[],[f104,f32]) ).

fof(f676,plain,
    ! [X0] :
      ( nil = skaf66(X0)
      | skaf66(X0) = cons(hd(skaf66(X0)),tl(skaf66(X0))) ),
    inference(resolution,[],[f104,f29]) ).

fof(f675,plain,
    ! [X0] :
      ( nil = skaf67(X0)
      | skaf67(X0) = cons(hd(skaf67(X0)),tl(skaf67(X0))) ),
    inference(resolution,[],[f104,f28]) ).

fof(f674,plain,
    ! [X0] :
      ( nil = skaf68(X0)
      | skaf68(X0) = cons(hd(skaf68(X0)),tl(skaf68(X0))) ),
    inference(resolution,[],[f104,f27]) ).

fof(f673,plain,
    ! [X0] :
      ( nil = skaf71(X0)
      | skaf71(X0) = cons(hd(skaf71(X0)),tl(skaf71(X0))) ),
    inference(resolution,[],[f104,f24]) ).

fof(f672,plain,
    ! [X0] :
      ( nil = skaf72(X0)
      | skaf72(X0) = cons(hd(skaf72(X0)),tl(skaf72(X0))) ),
    inference(resolution,[],[f104,f23]) ).

fof(f671,plain,
    ! [X0] :
      ( nil = skaf73(X0)
      | skaf73(X0) = cons(hd(skaf73(X0)),tl(skaf73(X0))) ),
    inference(resolution,[],[f104,f22]) ).

fof(f670,plain,
    ! [X0] :
      ( nil = skaf75(X0)
      | skaf75(X0) = cons(hd(skaf75(X0)),tl(skaf75(X0))) ),
    inference(resolution,[],[f104,f20]) ).

fof(f669,plain,
    ! [X0] :
      ( nil = skaf76(X0)
      | skaf76(X0) = cons(hd(skaf76(X0)),tl(skaf76(X0))) ),
    inference(resolution,[],[f104,f19]) ).

fof(f668,plain,
    ! [X0] :
      ( nil = skaf77(X0)
      | skaf77(X0) = cons(hd(skaf77(X0)),tl(skaf77(X0))) ),
    inference(resolution,[],[f104,f18]) ).

fof(f667,plain,
    ! [X0] :
      ( nil = skaf80(X0)
      | skaf80(X0) = cons(hd(skaf80(X0)),tl(skaf80(X0))) ),
    inference(resolution,[],[f104,f15]) ).

fof(f666,plain,
    ! [X0] :
      ( nil = skaf81(X0)
      | skaf81(X0) = cons(hd(skaf81(X0)),tl(skaf81(X0))) ),
    inference(resolution,[],[f104,f14]) ).

fof(f665,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/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f373,plain,
    ! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
    inference(resolution,[],[f74,f53]) ).

fof(f372,plain,
    ! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
    inference(resolution,[],[f74,f52]) ).

fof(f371,plain,
    ! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
    inference(resolution,[],[f74,f51]) ).

fof(f370,plain,
    ! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
    inference(resolution,[],[f74,f50]) ).

fof(f369,plain,
    ! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
    inference(resolution,[],[f74,f49]) ).

fof(f368,plain,
    ! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
    inference(resolution,[],[f74,f48]) ).

fof(f335,plain,
    ! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
    inference(resolution,[],[f73,f53]) ).

fof(f334,plain,
    ! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
    inference(resolution,[],[f73,f52]) ).

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

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

fof(f333,plain,
    ! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
    inference(resolution,[],[f73,f51]) ).

fof(f332,plain,
    ! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
    inference(resolution,[],[f73,f50]) ).

fof(f331,plain,
    ! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
    inference(resolution,[],[f73,f49]) ).

fof(f330,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/sandbox/benchmark/theBenchmark.p',clause95) ).

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

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

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

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

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

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

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

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

fof(f408,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = app(app(X0,X1),nil) ),
    inference(resolution,[],[f85,f73]) ).

fof(f407,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/sandbox/benchmark/theBenchmark.p',clause84) ).

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

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

fof(f367,plain,
    ! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
    inference(resolution,[],[f74,f44]) ).

fof(f366,plain,
    ! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
    inference(resolution,[],[f74,f43]) ).

fof(f365,plain,
    ! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
    inference(resolution,[],[f74,f42]) ).

fof(f364,plain,
    ! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
    inference(resolution,[],[f74,f39]) ).

fof(f363,plain,
    ! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
    inference(resolution,[],[f74,f38]) ).

fof(f362,plain,
    ! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
    inference(resolution,[],[f74,f37]) ).

fof(f361,plain,
    ! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
    inference(resolution,[],[f74,f34]) ).

fof(f360,plain,
    ! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
    inference(resolution,[],[f74,f33]) ).

fof(f359,plain,
    ! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
    inference(resolution,[],[f74,f32]) ).

fof(f358,plain,
    ! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
    inference(resolution,[],[f74,f29]) ).

fof(f357,plain,
    ! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
    inference(resolution,[],[f74,f28]) ).

fof(f356,plain,
    ! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
    inference(resolution,[],[f74,f27]) ).

fof(f355,plain,
    ! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
    inference(resolution,[],[f74,f24]) ).

fof(f354,plain,
    ! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
    inference(resolution,[],[f74,f23]) ).

fof(f353,plain,
    ! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
    inference(resolution,[],[f74,f22]) ).

fof(f352,plain,
    ! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
    inference(resolution,[],[f74,f20]) ).

fof(f351,plain,
    ! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
    inference(resolution,[],[f74,f19]) ).

fof(f350,plain,
    ! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
    inference(resolution,[],[f74,f18]) ).

fof(f349,plain,
    ! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
    inference(resolution,[],[f74,f15]) ).

fof(f348,plain,
    ! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
    inference(resolution,[],[f74,f14]) ).

fof(f347,plain,
    ! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
    inference(resolution,[],[f74,f13]) ).

fof(f329,plain,
    ! [X0] : skaf51(X0) = app(skaf51(X0),nil),
    inference(resolution,[],[f73,f44]) ).

fof(f328,plain,
    ! [X0] : skaf52(X0) = app(skaf52(X0),nil),
    inference(resolution,[],[f73,f43]) ).

fof(f327,plain,
    ! [X0] : skaf53(X0) = app(skaf53(X0),nil),
    inference(resolution,[],[f73,f42]) ).

fof(f391,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | tl(X0) = app(tl(X0),nil) ),
    inference(resolution,[],[f75,f73]) ).

fof(f390,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/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f326,plain,
    ! [X0] : skaf56(X0) = app(skaf56(X0),nil),
    inference(resolution,[],[f73,f39]) ).

fof(f325,plain,
    ! [X0] : skaf57(X0) = app(skaf57(X0),nil),
    inference(resolution,[],[f73,f38]) ).

fof(f324,plain,
    ! [X0] : skaf58(X0) = app(skaf58(X0),nil),
    inference(resolution,[],[f73,f37]) ).

fof(f323,plain,
    ! [X0] : skaf61(X0) = app(skaf61(X0),nil),
    inference(resolution,[],[f73,f34]) ).

fof(f322,plain,
    ! [X0] : skaf62(X0) = app(skaf62(X0),nil),
    inference(resolution,[],[f73,f33]) ).

fof(f321,plain,
    ! [X0] : skaf63(X0) = app(skaf63(X0),nil),
    inference(resolution,[],[f73,f32]) ).

fof(f320,plain,
    ! [X0] : skaf66(X0) = app(skaf66(X0),nil),
    inference(resolution,[],[f73,f29]) ).

fof(f319,plain,
    ! [X0] : skaf67(X0) = app(skaf67(X0),nil),
    inference(resolution,[],[f73,f28]) ).

fof(f318,plain,
    ! [X0] : skaf68(X0) = app(skaf68(X0),nil),
    inference(resolution,[],[f73,f27]) ).

fof(f317,plain,
    ! [X0] : skaf71(X0) = app(skaf71(X0),nil),
    inference(resolution,[],[f73,f24]) ).

fof(f316,plain,
    ! [X0] : skaf72(X0) = app(skaf72(X0),nil),
    inference(resolution,[],[f73,f23]) ).

fof(f315,plain,
    ! [X0] : skaf73(X0) = app(skaf73(X0),nil),
    inference(resolution,[],[f73,f22]) ).

fof(f314,plain,
    ! [X0] : skaf75(X0) = app(skaf75(X0),nil),
    inference(resolution,[],[f73,f20]) ).

fof(f313,plain,
    ! [X0] : skaf76(X0) = app(skaf76(X0),nil),
    inference(resolution,[],[f73,f19]) ).

fof(f312,plain,
    ! [X0] : skaf77(X0) = app(skaf77(X0),nil),
    inference(resolution,[],[f73,f18]) ).

fof(f311,plain,
    ! [X0] : skaf80(X0) = app(skaf80(X0),nil),
    inference(resolution,[],[f73,f15]) ).

fof(f310,plain,
    ! [X0] : skaf81(X0) = app(skaf81(X0),nil),
    inference(resolution,[],[f73,f14]) ).

fof(f309,plain,
    ! [X0] : skaf82(X0) = app(skaf82(X0),nil),
    inference(resolution,[],[f73,f13]) ).

fof(f378,plain,
    ( sk6 = app(nil,sk6)
    | ~ spl0_3 ),
    inference(resolution,[],[f74,f276]) ).

fof(f374,plain,
    sk1 = app(nil,sk1),
    inference(resolution,[],[f74,f186]) ).

fof(f381,plain,
    sk1 = app(nil,sk1),
    inference(forward_demodulation,[],[f376,f191]) ).

fof(f376,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f188]) ).

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

fof(f340,plain,
    ( sk6 = app(sk6,nil)
    | ~ spl0_3 ),
    inference(resolution,[],[f73,f276]) ).

fof(f336,plain,
    sk1 = app(sk1,nil),
    inference(resolution,[],[f73,f186]) ).

fof(f343,plain,
    sk1 = app(sk1,nil),
    inference(forward_demodulation,[],[f338,f191]) ).

fof(f338,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f188]) ).

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

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

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

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

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

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

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

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

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

fof(f246,plain,
    nil = app(nil,nil),
    inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f240,f207,f199,f205,f198,f204,f11,f1,f2,f7,f5,f6,f3,f4,f10,f9,f8,f54,f47,f12,f31,f30,f16,f26,f17,f25,f21,f35,f46,f45,f36,f41,f40,f42,f39,f37,f38,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f48,f53,f49,f52,f50,f51,f71,f63,f55,f62,f64,f65,f68,f69,f70,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f88,f87,f165,f166,f167,f90,f91,f164,f163,f210,f241,f211,f242,f212,f243,f82,f80,f84,f76,f78,f75,f77,f109,f104,f239,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f237,f131,f168,f132,f100,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235]) ).

fof(f239,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f213]) ).

fof(f213,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/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f253,plain,
    ( nil = sk1
    | ssList(sk6) ),
    inference(forward_demodulation,[],[f200,f191]) ).

fof(f250,plain,
    ( nil = sk1
    | ssItem(sk5) ),
    inference(forward_demodulation,[],[f193,f191]) ).

fof(f237,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f218]) ).

fof(f218,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/sandbox/benchmark/theBenchmark.p',clause115) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f249,plain,
    ( nil = sk2
    | ssItem(sk5) ),
    inference(forward_demodulation,[],[f192,f190]) ).

fof(f251,plain,
    ( nil = sk2
    | ssList(sk6) ),
    inference(forward_demodulation,[],[f194,f190]) ).

fof(f243,plain,
    frontsegP(nil,nil),
    inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f240,f207,f199,f205,f198,f204,f11,f1,f2,f7,f5,f6,f3,f4,f10,f9,f8,f54,f47,f12,f31,f30,f16,f26,f17,f25,f21,f35,f46,f45,f36,f41,f40,f42,f39,f37,f38,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f48,f53,f49,f52,f50,f51,f71,f63,f55,f62,f64,f65,f68,f69,f70,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f88,f87,f165,f166,f167,f90,f91,f164,f163,f210,f241,f211,f242,f212]) ).

fof(f242,plain,
    segmentP(nil,nil),
    inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f240,f207,f199,f205,f198,f204,f11,f1,f2,f7,f5,f6,f3,f4,f10,f9,f8,f54,f47,f12,f31,f30,f16,f26,f17,f25,f21,f35,f46,f45,f36,f41,f40,f42,f39,f37,f38,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f48,f53,f49,f52,f50,f51,f71,f63,f55,f62,f64,f65,f68,f69,f70,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f88,f87,f165,f166,f167,f90,f91,f164,f163,f210,f241,f211]) ).

fof(f241,plain,
    rearsegP(nil,nil),
    inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f240,f207,f199,f205,f198,f204,f11,f1,f2,f7,f5,f6,f3,f4,f10,f9,f8,f54,f47,f12,f31,f30,f16,f26,f17,f25,f21,f35,f46,f45,f36,f41,f40,f42,f39,f37,f38,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f48,f53,f49,f52,f50,f51,f71,f63,f55,f62,f64,f65,f68,f69,f70,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f88,f87,f165,f166,f167,f90,f91,f164,f163,f210]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f233,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/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f232,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/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f231,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/sandbox/benchmark/theBenchmark.p',clause185) ).

fof(f230,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/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f229,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/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f228,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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f234,plain,
    ! [X3,X0,X1] :
      ( frontsegP(cons(X3,X0),cons(X3,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1)
      | ~ ssItem(X3) ),
    inference(duplicate_literal_removal,[],[f227]) ).

fof(f227,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/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f226,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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause152) ).

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

fof(f225,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(app(X0,X1),X2),X1) ),
    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/sandbox/benchmark/theBenchmark.p',clause173) ).

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/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f224,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | memberP(app(X0,cons(X1,X2)),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/sandbox/benchmark/theBenchmark.p',clause175) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause176) ).

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/sandbox/benchmark/theBenchmark.p',clause170) ).

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/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f156,axiom,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ leq(X0,X1)
      | leq(X0,X2) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause160) ).

fof(f235,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f223]) ).

fof(f223,plain,
    ( ~ ssList(nil)
    | ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(equality_resolution,[],[f222]) ).

fof(f222,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/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f221,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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause137) ).

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

fof(f135,axiom,
    ! [X0,X1] :
      ( ~ totalorderedP(cons(X0,X1))
      | ~ ssList(X1)
      | nil = X1
      | ~ ssItem(X0)
      | leq(X0,hd(X1)) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',clause134) ).

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

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

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

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

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

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

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

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

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f245,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | totalorderedP(cons(X1,nil)) ),
    inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f240,f207,f199,f205,f198,f204,f11,f1,f2,f7,f5,f6,f3,f4,f10,f9,f8,f54,f47,f12,f31,f30,f16,f26,f17,f25,f21,f35,f46,f45,f36,f41,f40,f42,f39,f37,f38,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f48,f53,f49,f52,f50,f51,f71,f63,f55,f62,f64,f65,f68,f69,f70,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f88,f87,f165,f166,f167,f90,f91,f164,f163,f210,f241,f211,f242,f212,f243,f82,f80,f84,f76,f78,f75,f77,f109,f104,f239,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217]) ).

fof(f217,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/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f244,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | strictorderedP(cons(X1,nil)) ),
    inference(global_subsumption,[],[f186,f187,f189,f188,f190,f191,f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f240,f207,f199,f205,f198,f204,f11,f1,f2,f7,f5,f6,f3,f4,f10,f9,f8,f54,f47,f12,f31,f30,f16,f26,f17,f25,f21,f35,f46,f45,f36,f41,f40,f42,f39,f37,f38,f34,f33,f32,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f43,f44,f48,f53,f49,f52,f50,f51,f71,f63,f55,f62,f64,f65,f68,f69,f70,f67,f66,f58,f56,f61,f60,f59,f57,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f94,f95,f88,f87,f165,f166,f167,f90,f91,f164,f163,f210,f241,f211,f242,f212,f243,f82,f80,f84,f76,f78,f75,f77,f109,f104,f239,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216]) ).

fof(f216,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/sandbox/benchmark/theBenchmark.p',clause112) ).

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

fof(f238,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ~ lt(X1,X1) ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f214,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/sandbox/benchmark/theBenchmark.p',clause111) ).

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

fof(f212,plain,
    ( ~ ssList(nil)
    | frontsegP(nil,nil) ),
    inference(equality_resolution,[],[f83]) ).

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

fof(f211,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

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

fof(f210,plain,
    ( ~ ssList(nil)
    | rearsegP(nil,nil) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != X0
      | rearsegP(nil,X0) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause142) ).

fof(f204,axiom,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk6,X6)
      | ~ lt(sk5,X6)
      | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

fof(f198,axiom,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk6,X6)
      | ~ lt(sk5,X6)
      | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f205,axiom,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk7,X6)
      | ~ lt(X6,sk5)
      | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).

fof(f199,axiom,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk7,X6)
      | ~ lt(X6,sk5)
      | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f209,axiom,
    ( nil != sk1
    | ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).

fof(f197,axiom,
    ( nil = sk4
    | sk4 = app(app(sk6,sk3),sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f206,axiom,
    ( nil = sk2
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).

fof(f200,axiom,
    ( ssList(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f195,axiom,
    ( ssList(sk7)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f194,axiom,
    ( ssList(sk6)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f193,axiom,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f192,axiom,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

fof(f3260,plain,
    ( spl0_59
    | spl0_60
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f3222,f2176,f1634,f727,f712,f3257,f3253]) ).

fof(f712,plain,
    ( spl0_7
  <=> sk6 = cons(hd(sk6),tl(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f727,plain,
    ( spl0_9
  <=> ssList(tl(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1634,plain,
    ( spl0_27
  <=> strictorderedP(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2176,plain,
    ( spl0_44
  <=> ssItem(hd(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f3222,plain,
    ( strictorderedP(tl(sk6))
    | nil = tl(sk6)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_27
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f3221,f2177]) ).

fof(f2177,plain,
    ( ssItem(hd(sk6))
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f2176]) ).

fof(f3221,plain,
    ( strictorderedP(tl(sk6))
    | nil = tl(sk6)
    | ~ ssItem(hd(sk6))
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f3220,f728]) ).

fof(f728,plain,
    ( ssList(tl(sk6))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f3220,plain,
    ( ~ ssList(tl(sk6))
    | strictorderedP(tl(sk6))
    | nil = tl(sk6)
    | ~ ssItem(hd(sk6))
    | ~ spl0_7
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f3206,f1635]) ).

fof(f1635,plain,
    ( strictorderedP(sk6)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f1634]) ).

fof(f3206,plain,
    ( ~ strictorderedP(sk6)
    | ~ ssList(tl(sk6))
    | strictorderedP(tl(sk6))
    | nil = tl(sk6)
    | ~ ssItem(hd(sk6))
    | ~ spl0_7 ),
    inference(superposition,[],[f124,f714]) ).

fof(f714,plain,
    ( sk6 = cons(hd(sk6),tl(sk6))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f3251,plain,
    ( spl0_57
    | spl0_58
    | ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f3213,f278,f256,f3248,f3244]) ).

fof(f3248,plain,
    ( spl0_58
  <=> strictorderedP(skaf82(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f3213,plain,
    ( strictorderedP(skaf82(sk1))
    | nil = skaf82(sk1)
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f3212,f12]) ).

fof(f3212,plain,
    ( strictorderedP(skaf82(sk1))
    | nil = skaf82(sk1)
    | ~ ssItem(skaf83(sk1))
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f3211,f13]) ).

fof(f3211,plain,
    ( ~ ssList(skaf82(sk1))
    | strictorderedP(skaf82(sk1))
    | nil = skaf82(sk1)
    | ~ ssItem(skaf83(sk1))
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f3200,f303]) ).

fof(f303,plain,
    ( strictorderedP(sk1)
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f296,f258]) ).

fof(f296,plain,
    ( strictorderedP(sk1)
    | ~ ssItem(sk5)
    | spl0_4 ),
    inference(superposition,[],[f66,f293]) ).

fof(f293,plain,
    ( sk1 = cons(sk5,nil)
    | spl0_4 ),
    inference(forward_demodulation,[],[f292,f191]) ).

fof(f292,plain,
    ( sk3 = cons(sk5,nil)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f291,f279]) ).

fof(f3200,plain,
    ( ~ strictorderedP(sk1)
    | ~ ssList(skaf82(sk1))
    | strictorderedP(skaf82(sk1))
    | nil = skaf82(sk1)
    | ~ ssItem(skaf83(sk1))
    | spl0_4 ),
    inference(superposition,[],[f124,f978]) ).

fof(f3219,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_25
    | spl0_26
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f3218]) ).

fof(f3218,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | spl0_25
    | spl0_26
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f3217,f12]) ).

fof(f3217,plain,
    ( ~ ssItem(skaf83(sk6))
    | ~ spl0_3
    | spl0_8
    | spl0_25
    | spl0_26
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f3216,f1627]) ).

fof(f3216,plain,
    ( nil = skaf82(sk6)
    | ~ ssItem(skaf83(sk6))
    | ~ spl0_3
    | spl0_8
    | spl0_26
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f3215,f1631]) ).

fof(f1631,plain,
    ( ~ strictorderedP(skaf82(sk6))
    | spl0_26 ),
    inference(avatar_component_clause,[],[f1630]) ).

fof(f1630,plain,
    ( spl0_26
  <=> strictorderedP(skaf82(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f3215,plain,
    ( strictorderedP(skaf82(sk6))
    | nil = skaf82(sk6)
    | ~ ssItem(skaf83(sk6))
    | ~ spl0_3
    | spl0_8
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f3214,f13]) ).

fof(f3214,plain,
    ( ~ ssList(skaf82(sk6))
    | strictorderedP(skaf82(sk6))
    | nil = skaf82(sk6)
    | ~ ssItem(skaf83(sk6))
    | ~ spl0_3
    | spl0_8
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f3201,f1635]) ).

fof(f3201,plain,
    ( ~ strictorderedP(sk6)
    | ~ ssList(skaf82(sk6))
    | strictorderedP(skaf82(sk6))
    | nil = skaf82(sk6)
    | ~ ssItem(skaf83(sk6))
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f124,f2156]) ).

fof(f3174,plain,
    ( spl0_55
    | ~ spl0_56
    | ~ spl0_1
    | spl0_43
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f3119,f2176,f2172,f256,f3171,f3167]) ).

fof(f3167,plain,
    ( spl0_55
  <=> sk5 = hd(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3171,plain,
    ( spl0_56
  <=> leq(sk5,hd(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f2172,plain,
    ( spl0_43
  <=> lt(sk5,hd(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f3119,plain,
    ( ~ leq(sk5,hd(sk6))
    | sk5 = hd(sk6)
    | ~ spl0_1
    | spl0_43
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f3118,f2177]) ).

fof(f3118,plain,
    ( ~ leq(sk5,hd(sk6))
    | sk5 = hd(sk6)
    | ~ ssItem(hd(sk6))
    | ~ spl0_1
    | spl0_43 ),
    inference(subsumption_resolution,[],[f3107,f258]) ).

fof(f3107,plain,
    ( ~ ssItem(sk5)
    | ~ leq(sk5,hd(sk6))
    | sk5 = hd(sk6)
    | ~ ssItem(hd(sk6))
    | spl0_43 ),
    inference(resolution,[],[f121,f2174]) ).

fof(f2174,plain,
    ( ~ lt(sk5,hd(sk6))
    | spl0_43 ),
    inference(avatar_component_clause,[],[f2172]) ).

fof(f2495,plain,
    ( spl0_53
    | ~ spl0_54
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2486,f1209,f830,f278,f274,f2492,f2488]) ).

fof(f2488,plain,
    ( spl0_53
  <=> sk2 = sk6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f2492,plain,
    ( spl0_54
  <=> frontsegP(sk6,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f2486,plain,
    ( ~ frontsegP(sk6,sk2)
    | sk2 = sk6
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f2485,f187]) ).

fof(f2485,plain,
    ( ~ ssList(sk2)
    | ~ frontsegP(sk6,sk2)
    | sk2 = sk6
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f2484,f276]) ).

fof(f2484,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk2)
    | ~ frontsegP(sk6,sk2)
    | sk2 = sk6
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(resolution,[],[f2481,f129]) ).

fof(f2481,plain,
    ( frontsegP(sk2,sk6)
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f2480,f186]) ).

fof(f2480,plain,
    ( frontsegP(sk2,sk6)
    | ~ ssList(sk1)
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f2470,f276]) ).

fof(f2470,plain,
    ( frontsegP(sk2,sk6)
    | ~ ssList(sk6)
    | ~ ssList(sk1)
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f1943,f1446]) ).

fof(f1446,plain,
    ( sk2 = app(sk6,sk1)
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1222,f1243]) ).

fof(f1222,plain,
    ( app(sk6,sk1) = app(app(sk6,sk1),nil)
    | ~ spl0_14 ),
    inference(resolution,[],[f1210,f73]) ).

fof(f2395,plain,
    ( spl0_4
    | spl0_51 ),
    inference(avatar_contradiction_clause,[],[f2394]) ).

fof(f2394,plain,
    ( $false
    | spl0_4
    | spl0_51 ),
    inference(subsumption_resolution,[],[f2393,f186]) ).

fof(f2393,plain,
    ( ~ ssList(sk1)
    | spl0_4
    | spl0_51 ),
    inference(subsumption_resolution,[],[f2392,f279]) ).

fof(f2392,plain,
    ( nil = sk1
    | ~ ssList(sk1)
    | spl0_51 ),
    inference(resolution,[],[f2386,f75]) ).

fof(f2386,plain,
    ( ~ ssList(tl(sk1))
    | spl0_51 ),
    inference(avatar_component_clause,[],[f2384]) ).

fof(f2391,plain,
    ( ~ spl0_51
    | spl0_52
    | spl0_4
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2372,f2336,f278,f2388,f2384]) ).

fof(f2372,plain,
    ( memberP(sk1,hd(sk1))
    | ~ ssList(tl(sk1))
    | spl0_4
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f2361,f2337]) ).

fof(f2361,plain,
    ( memberP(sk1,hd(sk1))
    | ~ ssList(tl(sk1))
    | ~ ssItem(hd(sk1))
    | spl0_4 ),
    inference(superposition,[],[f236,f975]) ).

fof(f975,plain,
    ( sk1 = cons(hd(sk1),tl(sk1))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f695,f279]) ).

fof(f2380,plain,
    ( spl0_2
    | spl0_49 ),
    inference(avatar_contradiction_clause,[],[f2379]) ).

fof(f2379,plain,
    ( $false
    | spl0_2
    | spl0_49 ),
    inference(subsumption_resolution,[],[f2378,f187]) ).

fof(f2378,plain,
    ( ~ ssList(sk2)
    | spl0_2
    | spl0_49 ),
    inference(subsumption_resolution,[],[f2377,f261]) ).

fof(f2377,plain,
    ( nil = sk2
    | ~ ssList(sk2)
    | spl0_49 ),
    inference(resolution,[],[f2351,f76]) ).

fof(f2351,plain,
    ( ~ ssItem(hd(sk2))
    | spl0_49 ),
    inference(avatar_component_clause,[],[f2349]) ).

fof(f2349,plain,
    ( spl0_49
  <=> ssItem(hd(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f2356,plain,
    ( ~ spl0_49
    | ~ spl0_50
    | spl0_2
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f2329,f1317,f260,f2353,f2349]) ).

fof(f2353,plain,
    ( spl0_50
  <=> sk2 = tl(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1317,plain,
    ( spl0_17
  <=> ssList(tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f2329,plain,
    ( sk2 != tl(sk2)
    | ~ ssItem(hd(sk2))
    | spl0_2
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f2317,f1318]) ).

fof(f1318,plain,
    ( ssList(tl(sk2))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f1317]) ).

fof(f2317,plain,
    ( sk2 != tl(sk2)
    | ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | spl0_2 ),
    inference(superposition,[],[f99,f1247]) ).

fof(f1247,plain,
    ( sk2 = cons(hd(sk2),tl(sk2))
    | spl0_2 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f845,f853,f786,f854,f382,f375,f344,f337,f207,f861,f261,f868,f873,f874,f252,f208,f240,f254,f118,f119,f696]) ).

fof(f874,plain,
    ( sk7 = app(sk7,nil)
    | spl0_2 ),
    inference(resolution,[],[f868,f73]) ).

fof(f873,plain,
    ( sk7 = app(nil,sk7)
    | spl0_2 ),
    inference(resolution,[],[f868,f74]) ).

fof(f868,plain,
    ( ssList(sk7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f252,f261]) ).

fof(f2347,plain,
    ( spl0_4
    | spl0_47 ),
    inference(avatar_contradiction_clause,[],[f2346]) ).

fof(f2346,plain,
    ( $false
    | spl0_4
    | spl0_47 ),
    inference(subsumption_resolution,[],[f2345,f186]) ).

fof(f2345,plain,
    ( ~ ssList(sk1)
    | spl0_4
    | spl0_47 ),
    inference(subsumption_resolution,[],[f2344,f279]) ).

fof(f2344,plain,
    ( nil = sk1
    | ~ ssList(sk1)
    | spl0_47 ),
    inference(resolution,[],[f2338,f76]) ).

fof(f2338,plain,
    ( ~ ssItem(hd(sk1))
    | spl0_47 ),
    inference(avatar_component_clause,[],[f2336]) ).

fof(f2343,plain,
    ( ~ spl0_47
    | ~ spl0_48
    | spl0_4 ),
    inference(avatar_split_clause,[],[f2328,f278,f2340,f2336]) ).

fof(f2340,plain,
    ( spl0_48
  <=> sk1 = tl(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f2328,plain,
    ( sk1 != tl(sk1)
    | ~ ssItem(hd(sk1))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f2327,f186]) ).

fof(f2327,plain,
    ( sk1 != tl(sk1)
    | ~ ssList(sk1)
    | ~ ssItem(hd(sk1))
    | spl0_4 ),
    inference(inner_rewriting,[],[f2316]) ).

fof(f2316,plain,
    ( sk1 != tl(sk1)
    | ~ ssList(tl(sk1))
    | ~ ssItem(hd(sk1))
    | spl0_4 ),
    inference(superposition,[],[f99,f975]) ).

fof(f2310,plain,
    ( ~ spl0_45
    | ~ spl0_46
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f2301,f830,f826,f2307,f2303]) ).

fof(f2301,plain,
    ( ~ ssItem(hd(nil))
    | ~ ssList(tl(nil))
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2300,f832]) ).

fof(f2300,plain,
    ( ~ ssList(tl(nil))
    | ~ ssItem(hd(sk7))
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2299,f832]) ).

fof(f2299,plain,
    ( ~ ssList(tl(sk7))
    | ~ ssItem(hd(sk7))
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2296,f832]) ).

fof(f2296,plain,
    ( nil != sk7
    | ~ ssList(tl(sk7))
    | ~ ssItem(hd(sk7))
    | ~ spl0_11 ),
    inference(superposition,[],[f98,f828]) ).

fof(f2197,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_44 ),
    inference(avatar_contradiction_clause,[],[f2196]) ).

fof(f2196,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | spl0_44 ),
    inference(subsumption_resolution,[],[f2195,f276]) ).

fof(f2195,plain,
    ( ~ ssList(sk6)
    | spl0_8
    | spl0_44 ),
    inference(subsumption_resolution,[],[f2194,f717]) ).

fof(f2194,plain,
    ( nil = sk6
    | ~ ssList(sk6)
    | spl0_44 ),
    inference(resolution,[],[f2178,f76]) ).

fof(f2178,plain,
    ( ~ ssItem(hd(sk6))
    | spl0_44 ),
    inference(avatar_component_clause,[],[f2176]) ).

fof(f2179,plain,
    ( ~ spl0_43
    | ~ spl0_44
    | spl0_2
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f2157,f731,f260,f2176,f2172]) ).

fof(f731,plain,
    ( spl0_10
  <=> memberP(sk6,hd(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2157,plain,
    ( ~ ssItem(hd(sk6))
    | ~ lt(sk5,hd(sk6))
    | spl0_2
    | ~ spl0_10 ),
    inference(resolution,[],[f2153,f733]) ).

fof(f733,plain,
    ( memberP(sk6,hd(sk6))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f2153,plain,
    ( ! [X6] :
        ( ~ memberP(sk6,X6)
        | ~ ssItem(X6)
        | ~ lt(sk5,X6) )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f2152,f261]) ).

fof(f2152,plain,
    ! [X6] :
      ( nil = sk2
      | ~ ssItem(X6)
      | ~ memberP(sk6,X6)
      | ~ lt(sk5,X6) ),
    inference(forward_demodulation,[],[f198,f190]) ).

fof(f2149,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_39
    | spl0_40 ),
    inference(avatar_contradiction_clause,[],[f2148]) ).

fof(f2148,plain,
    ( $false
    | ~ spl0_3
    | spl0_4
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_17
    | ~ spl0_39
    | spl0_40 ),
    inference(global_subsumption,[],[f2140,f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f77,f238,f157,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f139,f141,f140,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f276,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f293,f73,f343,f336,f340,f341,f74,f381,f374,f378,f379,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f699,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f795,f790,f792,f700,f834,f785,f835,f695,f845,f853,f786,f854,f861,f252,f887,f208,f888,f240,f890,f254,f891,f282,f279,f896,f910,f897,f978,f118,f119,f892,f832,f1210,f1222,f1245,f1246,f696,f207,f382,f344,f1218,f1217,f337,f375,f1243,f1221,f1446,f127,f128,f129,f1817,f1901,f1903,f1913,f1923,f1937,f1943,f789,f130,f126,f125,f124,f1476,f122,f121,f975,f120,f215,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f236,f99,f98,f86,f78,f76,f1933,f2136,f2137,f2138]) ).

fof(f2138,plain,
    ( ~ rearsegP(sk1,sk1)
    | ~ spl0_39
    | spl0_40 ),
    inference(superposition,[],[f1937,f1933]) ).

fof(f2137,plain,
    ( rearsegP(sk1,sk1)
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_39 ),
    inference(superposition,[],[f1913,f1933]) ).

fof(f2136,plain,
    ( rearsegP(sk1,nil)
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_39 ),
    inference(superposition,[],[f1903,f1933]) ).

fof(f1933,plain,
    ( sk1 = sk2
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f1931]) ).

fof(f1931,plain,
    ( spl0_39
  <=> sk1 = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1476,plain,
    ( sk1 = cons(hd(sk1),tl(sk1))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f835,f279]) ).

fof(f1937,plain,
    ( ~ rearsegP(sk1,sk2)
    | spl0_40 ),
    inference(avatar_component_clause,[],[f1935]) ).

fof(f1935,plain,
    ( spl0_40
  <=> rearsegP(sk1,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1923,plain,
    ( ~ rearsegP(sk1,sk2)
    | sk1 = sk2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1922,f187]) ).

fof(f1922,plain,
    ( ~ ssList(sk2)
    | ~ rearsegP(sk1,sk2)
    | sk1 = sk2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1921,f186]) ).

fof(f1921,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk2)
    | ~ rearsegP(sk1,sk2)
    | sk1 = sk2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(resolution,[],[f1913,f128]) ).

fof(f1913,plain,
    ( rearsegP(sk2,sk1)
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1912,f276]) ).

fof(f1912,plain,
    ( rearsegP(sk2,sk1)
    | ~ ssList(sk6)
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1890,f186]) ).

fof(f1890,plain,
    ( rearsegP(sk2,sk1)
    | ~ ssList(sk1)
    | ~ ssList(sk6)
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f1817,f1446]) ).

fof(f1903,plain,
    ( rearsegP(sk2,nil)
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1902,f1210]) ).

fof(f1902,plain,
    ( rearsegP(sk2,nil)
    | ~ ssList(app(sk6,sk1))
    | spl0_4
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1848,f8]) ).

fof(f1848,plain,
    ( rearsegP(sk2,nil)
    | ~ ssList(nil)
    | ~ ssList(app(sk6,sk1))
    | spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f1817,f1243]) ).

fof(f1221,plain,
    ( app(sk6,sk1) = app(nil,app(sk6,sk1))
    | ~ spl0_14 ),
    inference(resolution,[],[f1210,f74]) ).

fof(f1217,plain,
    ( nil = app(sk6,sk1)
    | app(sk6,sk1) = cons(skaf83(app(sk6,sk1)),skaf82(app(sk6,sk1)))
    | ~ spl0_14 ),
    inference(resolution,[],[f1210,f109]) ).

fof(f1218,plain,
    ( nil = app(sk6,sk1)
    | app(sk6,sk1) = cons(hd(app(sk6,sk1)),tl(app(sk6,sk1)))
    | ~ spl0_14 ),
    inference(resolution,[],[f1210,f104]) ).

fof(f1246,plain,
    ( sk2 = app(app(sk6,sk1),nil)
    | spl0_4
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f293,f73,f343,f336,f341,f74,f381,f374,f379,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f795,f790,f792,f700,f834,f785,f835,f695,f845,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f252,f887,f208,f888,f240,f890,f254,f891,f282,f279,f896,f910,f897,f978,f118,f119,f892,f832,f1243,f1245]) ).

fof(f1245,plain,
    ( sk2 = app(app(sk6,sk1),nil)
    | nil = sk2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1244,f190]) ).

fof(f1244,plain,
    ( sk4 = app(app(sk6,sk1),nil)
    | nil = sk2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f857,f832]) ).

fof(f857,plain,
    ( sk4 = app(app(sk6,sk1),sk7)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f384,f191]) ).

fof(f384,plain,
    ( nil = sk2
    | sk4 = app(app(sk6,sk3),sk7) ),
    inference(forward_demodulation,[],[f197,f190]) ).

fof(f892,plain,
    ( nil = sk7
    | sk7 = cons(skaf83(sk7),skaf82(sk7))
    | spl0_4 ),
    inference(resolution,[],[f282,f109]) ).

fof(f897,plain,
    ( sk7 = app(sk7,nil)
    | spl0_4 ),
    inference(resolution,[],[f282,f73]) ).

fof(f896,plain,
    ( sk7 = app(nil,sk7)
    | spl0_4 ),
    inference(resolution,[],[f282,f74]) ).

fof(f891,plain,
    ( ssList(sk7)
    | spl0_4 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f279,f282,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f293,f73,f343,f336,f341,f74,f381,f374,f379,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f795,f790,f792,f700,f834,f785,f835,f695,f845,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f252,f887,f208,f888,f240,f890,f254]) ).

fof(f890,plain,
    ( nil != sk1
    | spl0_4 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f279,f282,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f293,f73,f343,f336,f341,f74,f381,f374,f379,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f795,f790,f792,f700,f834,f785,f835,f695,f845,f254,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f252,f887,f208,f888,f240]) ).

fof(f888,plain,
    ( nil != sk1
    | spl0_4 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f279,f282,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f293,f73,f343,f336,f341,f74,f381,f374,f379,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f795,f790,f792,f700,f834,f785,f835,f695,f845,f254,f240,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f252,f887,f208]) ).

fof(f887,plain,
    ( ssList(sk7)
    | spl0_4 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f279,f282,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f293,f73,f343,f336,f341,f74,f381,f374,f379,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f795,f790,f792,f700,f834,f785,f835,f695,f845,f254,f240,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f208,f252]) ).

fof(f700,plain,
    ( nil = sk7
    | sk7 = cons(hd(sk7),tl(sk7))
    | spl0_4 ),
    inference(resolution,[],[f104,f282]) ).

fof(f792,plain,
    ( sk1 = cons(skaf83(sk1),skaf82(sk1))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f785,f279]) ).

fof(f790,plain,
    ( nil = sk7
    | sk7 = cons(skaf83(sk7),skaf82(sk7))
    | spl0_4 ),
    inference(resolution,[],[f109,f282]) ).

fof(f795,plain,
    ( sk1 = cons(skaf83(sk1),skaf82(sk1))
    | spl0_4 ),
    inference(forward_demodulation,[],[f794,f191]) ).

fof(f794,plain,
    ( sk3 = cons(skaf83(sk3),skaf82(sk3))
    | spl0_4 ),
    inference(subsumption_resolution,[],[f793,f279]) ).

fof(f379,plain,
    ( sk7 = app(nil,sk7)
    | spl0_4 ),
    inference(resolution,[],[f74,f282]) ).

fof(f341,plain,
    ( sk7 = app(sk7,nil)
    | spl0_4 ),
    inference(resolution,[],[f73,f282]) ).

fof(f2140,plain,
    ( duplicatefreeP(tl(sk1))
    | ~ spl0_6
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(superposition,[],[f2096,f1933]) ).

fof(f2096,plain,
    ( duplicatefreeP(tl(sk2))
    | ~ spl0_6
    | ~ spl0_17 ),
    inference(resolution,[],[f288,f1318]) ).

fof(f288,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f287,plain,
    ( spl0_6
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2147,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_39
    | spl0_40 ),
    inference(avatar_contradiction_clause,[],[f2146]) ).

fof(f2146,plain,
    ( $false
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14
    | ~ spl0_39
    | spl0_40 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f77,f238,f157,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f139,f141,f140,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f276,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f293,f73,f343,f336,f340,f341,f74,f381,f374,f378,f379,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f699,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f795,f790,f792,f700,f834,f785,f835,f695,f845,f853,f786,f854,f861,f252,f887,f208,f888,f240,f890,f254,f891,f282,f279,f896,f910,f897,f978,f118,f119,f892,f832,f1210,f1222,f1245,f1246,f696,f207,f382,f344,f1218,f1217,f337,f375,f1243,f1221,f1446,f127,f128,f129,f1817,f1901,f1903,f1913,f1923,f1937,f1943,f789,f130,f126,f125,f124,f1476,f122,f121,f975,f120,f215,f114,f110,f108,f107,f106,f105,f103,f102,f97,f96,f236,f99,f98,f86,f78,f76,f1933,f2136,f2137,f2138]) ).

fof(f2145,plain,
    ( ~ spl0_1
    | spl0_4
    | spl0_34
    | ~ spl0_39 ),
    inference(avatar_contradiction_clause,[],[f2144]) ).

fof(f2144,plain,
    ( $false
    | ~ spl0_1
    | spl0_4
    | spl0_34
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f2132,f304]) ).

fof(f304,plain,
    ( totalorderedP(sk1)
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f297,f258]) ).

fof(f297,plain,
    ( totalorderedP(sk1)
    | ~ ssItem(sk5)
    | spl0_4 ),
    inference(superposition,[],[f67,f293]) ).

fof(f2132,plain,
    ( ~ totalorderedP(sk1)
    | spl0_34
    | ~ spl0_39 ),
    inference(superposition,[],[f1695,f1933]) ).

fof(f1695,plain,
    ( ~ totalorderedP(sk2)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f1693]) ).

fof(f1693,plain,
    ( spl0_34
  <=> totalorderedP(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2143,plain,
    ( ~ spl0_1
    | spl0_4
    | spl0_30
    | ~ spl0_39 ),
    inference(avatar_contradiction_clause,[],[f2142]) ).

fof(f2142,plain,
    ( $false
    | ~ spl0_1
    | spl0_4
    | spl0_30
    | ~ spl0_39 ),
    inference(subsumption_resolution,[],[f2130,f303]) ).

fof(f2130,plain,
    ( ~ strictorderedP(sk1)
    | spl0_30
    | ~ spl0_39 ),
    inference(superposition,[],[f1649,f1933]) ).

fof(f1649,plain,
    ( ~ strictorderedP(sk2)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f1647]) ).

fof(f1647,plain,
    ( spl0_30
  <=> strictorderedP(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2114,plain,
    ( spl0_39
    | spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2039,f1209,f830,f716,f278,f1931]) ).

fof(f2039,plain,
    ( sk1 = sk2
    | spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2011,f374]) ).

fof(f2011,plain,
    ( sk2 = app(nil,sk1)
    | spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f1446,f718]) ).

fof(f718,plain,
    ( nil = sk6
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f2063,plain,
    ( spl0_39
    | spl0_4
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f2035,f830,f716,f278,f1931]) ).

fof(f2035,plain,
    ( sk1 = sk2
    | spl0_4
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2034,f336]) ).

fof(f2034,plain,
    ( sk2 = app(sk1,nil)
    | spl0_4
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2005,f374]) ).

fof(f2005,plain,
    ( sk2 = app(app(nil,sk1),nil)
    | spl0_4
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f1243,f718]) ).

fof(f2047,plain,
    ( ~ spl0_8
    | spl0_32 ),
    inference(avatar_contradiction_clause,[],[f2046]) ).

fof(f2046,plain,
    ( $false
    | ~ spl0_8
    | spl0_32 ),
    inference(subsumption_resolution,[],[f2020,f4]) ).

fof(f2020,plain,
    ( ~ totalorderedP(nil)
    | ~ spl0_8
    | spl0_32 ),
    inference(superposition,[],[f1686,f718]) ).

fof(f1686,plain,
    ( ~ totalorderedP(sk6)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f1684]) ).

fof(f2045,plain,
    ( ~ spl0_8
    | spl0_27 ),
    inference(avatar_contradiction_clause,[],[f2044]) ).

fof(f2044,plain,
    ( $false
    | ~ spl0_8
    | spl0_27 ),
    inference(subsumption_resolution,[],[f2018,f3]) ).

fof(f2018,plain,
    ( ~ strictorderedP(nil)
    | ~ spl0_8
    | spl0_27 ),
    inference(superposition,[],[f1636,f718]) ).

fof(f1636,plain,
    ( ~ strictorderedP(sk6)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f1634]) ).

fof(f2043,plain,
    ( ~ spl0_8
    | spl0_24 ),
    inference(avatar_contradiction_clause,[],[f2042]) ).

fof(f2042,plain,
    ( $false
    | ~ spl0_8
    | spl0_24 ),
    inference(subsumption_resolution,[],[f2013,f7]) ).

fof(f2013,plain,
    ( ~ cyclefreeP(nil)
    | ~ spl0_8
    | spl0_24 ),
    inference(superposition,[],[f1605,f718]) ).

fof(f1605,plain,
    ( ~ cyclefreeP(sk6)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f1604]) ).

fof(f1604,plain,
    ( spl0_24
  <=> cyclefreeP(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2041,plain,
    ( spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | spl0_39 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2040,plain,
    ( $false
    | spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_14
    | spl0_39 ),
    inference(subsumption_resolution,[],[f2039,f1932]) ).

fof(f1932,plain,
    ( sk1 != sk2
    | spl0_39 ),
    inference(avatar_component_clause,[],[f1931]) ).

fof(f2037,plain,
    ( spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_39 ),
    inference(avatar_contradiction_clause,[],[f2036]) ).

fof(f2036,plain,
    ( $false
    | spl0_4
    | ~ spl0_8
    | ~ spl0_12
    | spl0_39 ),
    inference(subsumption_resolution,[],[f2035,f1932]) ).

fof(f2030,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2029]) ).

fof(f2029,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1998,f1174]) ).

fof(f1174,plain,
    ( ! [X0] : ~ memberP(nil,X0)
    | spl0_4
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1172,f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f510,f511,f512,f513,f514,f515,f516,f524,f517,f487,f488,f535,f564,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f834,f785,f835,f695,f472,f845,f853,f786,f854,f696,f536,f575,f568,f486,f525,f518,f467,f382,f375,f344,f337,f207,f861,f252,f208,f240,f254,f118,f119]) ).

fof(f467,plain,
    ( ! [X6] :
        ( nil = sk2
        | ~ memberP(sk7,X6)
        | ~ lt(X6,sk5) )
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f466,f190]) ).

fof(f466,plain,
    ( ! [X6] :
        ( ~ memberP(sk7,X6)
        | ~ lt(X6,sk5)
        | nil = sk4 )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f199,f285]) ).

fof(f518,plain,
    ( ! [X0] : sk2 = tl(cons(X0,sk2))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f187]) ).

fof(f525,plain,
    ( ! [X0] : sk2 = tl(cons(X0,sk2))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f520,f190]) ).

fof(f520,plain,
    ( ! [X0] : sk4 = tl(cons(X0,sk4))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f189]) ).

fof(f486,plain,
    ( ! [X0] : nil = tl(cons(X0,nil))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f8]) ).

fof(f568,plain,
    ( ! [X0] : hd(cons(X0,sk2)) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f187]) ).

fof(f575,plain,
    ( ! [X0] : hd(cons(X0,sk2)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f570,f190]) ).

fof(f570,plain,
    ( ! [X0] : hd(cons(X0,sk4)) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f189]) ).

fof(f536,plain,
    ( ! [X0] : hd(cons(X0,nil)) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f8]) ).

fof(f472,plain,
    ( ! [X6] :
        ( nil = sk1
        | ~ memberP(sk7,X6)
        | ~ lt(X6,sk5) )
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f471,f191]) ).

fof(f471,plain,
    ( ! [X6] :
        ( ~ memberP(sk7,X6)
        | ~ lt(X6,sk5)
        | nil = sk3 )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f205,f285]) ).

fof(f791,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f782,f474]) ).

fof(f782,plain,
    ( ! [X0,X1] :
        ( nil = cons(X0,X1)
        | cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f109,f460]) ).

fof(f701,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f692,f474]) ).

fof(f692,plain,
    ( ! [X0,X1] :
        ( nil = cons(X0,X1)
        | cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f104,f460]) ).

fof(f509,plain,
    ( ! [X2,X0,X1] : skaf47(X1,X2) = tl(cons(X0,skaf47(X1,X2)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f49]) ).

fof(f508,plain,
    ( ! [X2,X0,X1] : skaf48(X1,X2) = tl(cons(X0,skaf48(X1,X2)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f48]) ).

fof(f638,plain,
    ( ! [X0] :
        ( ~ ssList(cons(X0,nil))
        | cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) )
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f636]) ).

fof(f636,plain,
    ( ! [X0] :
        ( ~ ssList(cons(X0,nil))
        | ~ ssList(cons(X0,nil))
        | cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) )
    | ~ spl0_5 ),
    inference(resolution,[],[f635,f101]) ).

fof(f635,plain,
    ( ! [X0] :
        ( singletonP(cons(X0,nil))
        | ~ ssList(cons(X0,nil)) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f215,f285]) ).

fof(f634,plain,
    ( ! [X0,X1] :
        ( ~ lt(X1,X0)
        | ~ lt(X0,X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f633,f618]) ).

fof(f633,plain,
    ( ! [X0,X1] :
        ( ~ gt(X0,X1)
        | ~ lt(X0,X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f632,f618]) ).

fof(f632,plain,
    ( ! [X0,X1] :
        ( ~ gt(X1,X0)
        | ~ gt(X0,X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f631,f285]) ).

fof(f631,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ gt(X1,X0)
        | ~ gt(X0,X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f110,f285]) ).

fof(f630,plain,
    ( ! [X0] :
        ( geq(skaf50(X0),skaf49(X0))
        | cyclefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f626,f88]) ).

fof(f629,plain,
    ( ! [X0] :
        ( geq(skaf49(X0),skaf50(X0))
        | cyclefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f626,f87]) ).

fof(f626,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,X1)
        | geq(X1,X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f625,f285]) ).

fof(f625,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X1)
        | ~ leq(X0,X1)
        | geq(X1,X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f108,f285]) ).

fof(f624,plain,
    ( ! [X0] :
        ( ~ geq(skaf55(X0),skaf54(X0))
        | totalorderP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f621,f95]) ).

fof(f623,plain,
    ( ! [X0] :
        ( ~ geq(skaf54(X0),skaf55(X0))
        | totalorderP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f621,f94]) ).

fof(f622,plain,
    ( ! [X0] :
        ( ~ geq(skaf65(X0),skaf64(X0))
        | totalorderedP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f621,f91]) ).

fof(f621,plain,
    ( ! [X0,X1] :
        ( leq(X1,X0)
        | ~ geq(X0,X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f620,f285]) ).

fof(f620,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ geq(X0,X1)
        | leq(X1,X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f107,f285]) ).

fof(f618,plain,
    ( ! [X0,X1] :
        ( gt(X1,X0)
        | ~ lt(X0,X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f617,f285]) ).

fof(f617,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X1)
        | ~ lt(X0,X1)
        | gt(X1,X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f106,f285]) ).

fof(f563,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,skaf42(X1,X2))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f53]) ).

fof(f562,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,skaf43(X1,X2))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f52]) ).

fof(f608,plain,
    ( ! [X0,X1] :
        ( ~ gt(X0,X1)
        | lt(X1,X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f607,f285]) ).

fof(f607,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ gt(X0,X1)
        | lt(X1,X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f105,f285]) ).

fof(f561,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,skaf45(X1,X2))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f51]) ).

fof(f560,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,skaf46(X1,X2))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f50]) ).

fof(f559,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,skaf47(X1,X2))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f49]) ).

fof(f558,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,skaf48(X1,X2))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f48]) ).

fof(f507,plain,
    ( ! [X0,X1] : skaf51(X1) = tl(cons(X0,skaf51(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f44]) ).

fof(f506,plain,
    ( ! [X0,X1] : skaf52(X1) = tl(cons(X0,skaf52(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f43]) ).

fof(f505,plain,
    ( ! [X0,X1] : skaf53(X1) = tl(cons(X0,skaf53(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f42]) ).

fof(f504,plain,
    ( ! [X0,X1] : skaf56(X1) = tl(cons(X0,skaf56(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f39]) ).

fof(f503,plain,
    ( ! [X0,X1] : skaf57(X1) = tl(cons(X0,skaf57(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f38]) ).

fof(f502,plain,
    ( ! [X0,X1] : skaf58(X1) = tl(cons(X0,skaf58(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f37]) ).

fof(f600,plain,
    ( ! [X0,X1] :
        ( ~ lt(X0,X1)
        | leq(X0,X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f599,f285]) ).

fof(f599,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ lt(X0,X1)
        | leq(X0,X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f103,f285]) ).

fof(f501,plain,
    ( ! [X0,X1] : skaf61(X1) = tl(cons(X0,skaf61(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f34]) ).

fof(f500,plain,
    ( ! [X0,X1] : skaf62(X1) = tl(cons(X0,skaf62(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f33]) ).

fof(f499,plain,
    ( ! [X0,X1] : skaf63(X1) = tl(cons(X0,skaf63(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f32]) ).

fof(f498,plain,
    ( ! [X0,X1] : skaf66(X1) = tl(cons(X0,skaf66(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f29]) ).

fof(f497,plain,
    ( ! [X0,X1] : skaf67(X1) = tl(cons(X0,skaf67(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f28]) ).

fof(f496,plain,
    ( ! [X0,X1] : skaf68(X1) = tl(cons(X0,skaf68(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f27]) ).

fof(f495,plain,
    ( ! [X0,X1] : skaf71(X1) = tl(cons(X0,skaf71(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f24]) ).

fof(f494,plain,
    ( ! [X0,X1] : skaf72(X1) = tl(cons(X0,skaf72(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f23]) ).

fof(f493,plain,
    ( ! [X0,X1] : skaf73(X1) = tl(cons(X0,skaf73(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f22]) ).

fof(f492,plain,
    ( ! [X0,X1] : skaf75(X1) = tl(cons(X0,skaf75(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f20]) ).

fof(f586,plain,
    ( ! [X0,X1] :
        ( neq(X1,X0)
        | X0 = X1 )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f585,f285]) ).

fof(f585,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | X0 = X1
        | neq(X1,X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f102,f285]) ).

fof(f491,plain,
    ( ! [X0,X1] : skaf76(X1) = tl(cons(X0,skaf76(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f19]) ).

fof(f490,plain,
    ( ! [X0,X1] : skaf77(X1) = tl(cons(X0,skaf77(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f18]) ).

fof(f489,plain,
    ( ! [X0,X1] : skaf80(X1) = tl(cons(X0,skaf80(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f15]) ).

fof(f557,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf51(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f44]) ).

fof(f556,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf52(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f43]) ).

fof(f555,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf53(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f42]) ).

fof(f554,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf56(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f39]) ).

fof(f553,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf57(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f38]) ).

fof(f552,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf58(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f37]) ).

fof(f551,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf61(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f34]) ).

fof(f550,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf62(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f33]) ).

fof(f549,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf63(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f32]) ).

fof(f548,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf66(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f29]) ).

fof(f547,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf67(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f28]) ).

fof(f546,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf68(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f27]) ).

fof(f545,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf71(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f24]) ).

fof(f544,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf72(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f23]) ).

fof(f543,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf73(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f22]) ).

fof(f542,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf75(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f20]) ).

fof(f541,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf76(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f19]) ).

fof(f540,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf77(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f18]) ).

fof(f539,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf80(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f15]) ).

fof(f538,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf81(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f14]) ).

fof(f537,plain,
    ( ! [X0,X1] : hd(cons(X0,skaf82(X1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f13]) ).

fof(f567,plain,
    ( ! [X0] : hd(cons(X0,sk1)) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f186]) ).

fof(f574,plain,
    ( ! [X0] : hd(cons(X0,sk1)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f569,f191]) ).

fof(f569,plain,
    ( ! [X0] : hd(cons(X0,sk3)) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f188]) ).

fof(f566,plain,
    ( ! [X0,X1] :
        ( hd(cons(X0,tl(X1))) = X0
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f75]) ).

fof(f565,plain,
    ( ! [X2,X0,X1] :
        ( hd(cons(X0,app(X1,X2))) = X0
        | ~ ssList(X1)
        | ~ ssList(X2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f85]) ).

fof(f564,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X2)
        | hd(cons(X0,cons(X1,X2))) = X0 )
    | ~ spl0_5 ),
    inference(resolution,[],[f535,f460]) ).

fof(f535,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | hd(cons(X0,X1)) = X0 )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f97,f285]) ).

fof(f488,plain,
    ( ! [X0,X1] : skaf81(X1) = tl(cons(X0,skaf81(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f14]) ).

fof(f487,plain,
    ( ! [X0,X1] : skaf82(X1) = tl(cons(X0,skaf82(X1)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f13]) ).

fof(f517,plain,
    ( ! [X0] : sk1 = tl(cons(X0,sk1))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f186]) ).

fof(f524,plain,
    ( ! [X0] : sk1 = tl(cons(X0,sk1))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f519,f191]) ).

fof(f519,plain,
    ( ! [X0] : sk3 = tl(cons(X0,sk3))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f188]) ).

fof(f516,plain,
    ( ! [X0,X1] :
        ( tl(X1) = tl(cons(X0,tl(X1)))
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f75]) ).

fof(f515,plain,
    ( ! [X2,X0,X1] :
        ( app(X1,X2) = tl(cons(X0,app(X1,X2)))
        | ~ ssList(X1)
        | ~ ssList(X2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f85]) ).

fof(f514,plain,
    ( ! [X2,X0,X1] :
        ( cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
        | ~ ssList(X2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f460]) ).

fof(f513,plain,
    ( ! [X2,X0,X1] : skaf42(X1,X2) = tl(cons(X0,skaf42(X1,X2)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f53]) ).

fof(f512,plain,
    ( ! [X2,X0,X1] : skaf43(X1,X2) = tl(cons(X0,skaf43(X1,X2)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f52]) ).

fof(f511,plain,
    ( ! [X2,X0,X1] : skaf45(X1,X2) = tl(cons(X0,skaf45(X1,X2)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f51]) ).

fof(f510,plain,
    ( ! [X2,X0,X1] : skaf46(X1,X2) = tl(cons(X0,skaf46(X1,X2)))
    | ~ spl0_5 ),
    inference(resolution,[],[f485,f50]) ).

fof(f485,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | tl(cons(X0,X1)) = X1 )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f96,f285]) ).

fof(f478,plain,
    ( ! [X2,X1] :
        ( memberP(cons(X1,X2),X1)
        | ~ ssList(X2) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f236,f285]) ).

fof(f476,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != X1
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f99,f285]) ).

fof(f474,plain,
    ( ! [X0,X1] :
        ( nil != cons(X0,X1)
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f98,f285]) ).

fof(f462,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | cons(X1,X0) = app(cons(X1,X0),nil) )
    | ~ spl0_5 ),
    inference(resolution,[],[f460,f73]) ).

fof(f461,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | cons(X1,X0) = app(nil,cons(X1,X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f460,f74]) ).

fof(f460,plain,
    ( ! [X0,X1] :
        ( ssList(cons(X0,X1))
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f86,f285]) ).

fof(f285,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl0_5
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1172,plain,
    ( ! [X0] :
        ( ~ memberP(nil,X0)
        | ~ lt(X0,sk5) )
    | spl0_4
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(superposition,[],[f973,f832]) ).

fof(f973,plain,
    ( ! [X6] :
        ( ~ memberP(sk7,X6)
        | ~ lt(X6,sk5) )
    | spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f472,f279]) ).

fof(f1998,plain,
    ( memberP(nil,hd(nil))
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f733,f718]) ).

fof(f2028,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2027]) ).

fof(f2027,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1997,f1183]) ).

fof(f1183,plain,
    ( ~ ssList(tl(nil))
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1164,f832]) ).

fof(f1164,plain,
    ( nil != sk7
    | ~ ssList(tl(nil))
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(inner_rewriting,[],[f954]) ).

fof(f954,plain,
    ( nil != sk7
    | ~ ssList(tl(sk7))
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f474,f828]) ).

fof(f1997,plain,
    ( ssList(tl(nil))
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f728,f718]) ).

fof(f1990,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1989]) ).

fof(f1989,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548,f1357,f1077,f1079,f1078,f1076,f1982,f718]) ).

fof(f1982,plain,
    ( nil != sk6
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f722,f728]) ).

fof(f1076,plain,
    ( ! [X0] : hd(cons(X0,tl(sk6))) = X0
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(resolution,[],[f728,f535]) ).

fof(f1078,plain,
    ( tl(sk6) = app(nil,tl(sk6))
    | ~ spl0_9 ),
    inference(resolution,[],[f728,f74]) ).

fof(f1079,plain,
    ( tl(sk6) = app(tl(sk6),nil)
    | ~ spl0_9 ),
    inference(resolution,[],[f728,f73]) ).

fof(f1077,plain,
    ( ! [X0] : tl(sk6) = tl(cons(X0,tl(sk6)))
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(resolution,[],[f728,f485]) ).

fof(f1357,plain,
    ( ! [X0] : cons(X0,tl(sk6)) = app(cons(X0,nil),tl(sk6))
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(resolution,[],[f1193,f728]) ).

fof(f1548,plain,
    ( cyclefreeP(tl(sk6))
    | skaf50(tl(sk6)) = skaf49(tl(sk6))
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(resolution,[],[f1508,f728]) ).

fof(f1780,plain,
    ( ! [X0,X1] : hd(cons(X0,cons(X1,tl(sk6)))) = X0
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(resolution,[],[f564,f728]) ).

fof(f1947,plain,
    ( ! [X0] :
        ( ~ ssList(cons(X0,nil))
        | ~ ssList(cons(X0,sk2))
        | ~ rearsegP(sk2,cons(X0,sk2))
        | sk2 = cons(X0,sk2) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1946,f187]) ).

fof(f1946,plain,
    ( ! [X0] :
        ( ~ ssList(cons(X0,nil))
        | ~ ssList(sk2)
        | ~ ssList(cons(X0,sk2))
        | ~ rearsegP(sk2,cons(X0,sk2))
        | sk2 = cons(X0,sk2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1914,f128]) ).

fof(f1914,plain,
    ( ! [X0] :
        ( rearsegP(cons(X0,sk2),sk2)
        | ~ ssList(cons(X0,nil)) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1892,f187]) ).

fof(f1892,plain,
    ( ! [X0] :
        ( rearsegP(cons(X0,sk2),sk2)
        | ~ ssList(sk2)
        | ~ ssList(cons(X0,nil)) )
    | ~ spl0_5 ),
    inference(superposition,[],[f1817,f1359]) ).

fof(f1945,plain,
    ( ! [X0] :
        ( ~ ssList(cons(X0,nil))
        | ~ ssList(cons(X0,sk1))
        | ~ rearsegP(sk1,cons(X0,sk1))
        | sk1 = cons(X0,sk1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1944,f186]) ).

fof(f1944,plain,
    ( ! [X0] :
        ( ~ ssList(cons(X0,nil))
        | ~ ssList(sk1)
        | ~ ssList(cons(X0,sk1))
        | ~ rearsegP(sk1,cons(X0,sk1))
        | sk1 = cons(X0,sk1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1910,f128]) ).

fof(f1910,plain,
    ( ! [X0] :
        ( rearsegP(cons(X0,sk1),sk1)
        | ~ ssList(cons(X0,nil)) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1888,f186]) ).

fof(f1888,plain,
    ( ! [X0] :
        ( rearsegP(cons(X0,sk1),sk1)
        | ~ ssList(sk1)
        | ~ ssList(cons(X0,nil)) )
    | ~ spl0_5 ),
    inference(superposition,[],[f1817,f1358]) ).

fof(f1773,plain,
    ( ! [X2,X3,X0,X1] : hd(cons(X0,cons(X1,skaf45(X2,X3)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f51]) ).

fof(f1772,plain,
    ( ! [X2,X3,X0,X1] : hd(cons(X0,cons(X1,skaf46(X2,X3)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f50]) ).

fof(f1771,plain,
    ( ! [X2,X3,X0,X1] : hd(cons(X0,cons(X1,skaf47(X2,X3)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f49]) ).

fof(f1770,plain,
    ( ! [X2,X3,X0,X1] : hd(cons(X0,cons(X1,skaf48(X2,X3)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f48]) ).

fof(f1769,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf51(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f44]) ).

fof(f1768,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf52(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f43]) ).

fof(f1767,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf53(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f42]) ).

fof(f1766,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf56(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f39]) ).

fof(f1765,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf57(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f38]) ).

fof(f1764,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf58(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f37]) ).

fof(f1763,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf61(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f34]) ).

fof(f1762,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf62(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f33]) ).

fof(f1761,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf63(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f32]) ).

fof(f1760,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf66(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f29]) ).

fof(f1759,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf67(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f28]) ).

fof(f1758,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf68(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f27]) ).

fof(f1757,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf71(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f24]) ).

fof(f1756,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf72(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f23]) ).

fof(f1755,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf73(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f22]) ).

fof(f1754,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf75(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f20]) ).

fof(f1753,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf76(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f19]) ).

fof(f1752,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf77(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f18]) ).

fof(f1751,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf80(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f15]) ).

fof(f1750,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf81(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f14]) ).

fof(f1749,plain,
    ( ! [X2,X0,X1] : hd(cons(X0,cons(X1,skaf82(X2)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f13]) ).

fof(f1783,plain,
    ( ! [X0,X1] : hd(cons(X0,cons(X1,sk2))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f187]) ).

fof(f1782,plain,
    ( ! [X0,X1] : hd(cons(X0,cons(X1,sk1))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f186]) ).

fof(f1792,plain,
    ( ! [X0,X1] : hd(cons(X0,cons(X1,sk2))) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1785,f190]) ).

fof(f1785,plain,
    ( ! [X0,X1] : hd(cons(X0,cons(X1,sk4))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f189]) ).

fof(f1791,plain,
    ( ! [X0,X1] : hd(cons(X0,cons(X1,sk1))) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1784,f191]) ).

fof(f1784,plain,
    ( ! [X0,X1] : hd(cons(X0,cons(X1,sk3))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f188]) ).

fof(f1779,plain,
    ( ! [X2,X0,X1] :
        ( hd(cons(X0,cons(X1,tl(X2)))) = X0
        | nil = X2
        | ~ ssList(X2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f75]) ).

fof(f1777,plain,
    ( ! [X2,X3,X0,X1] :
        ( hd(cons(X0,cons(X1,app(X2,X3)))) = X0
        | ~ ssList(X2)
        | ~ ssList(X3) )
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f85]) ).

fof(f1776,plain,
    ( ! [X2,X3,X0,X1] :
        ( hd(cons(X0,cons(X1,cons(X2,X3)))) = X0
        | ~ ssList(X3) )
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f460]) ).

fof(f1775,plain,
    ( ! [X2,X3,X0,X1] : hd(cons(X0,cons(X1,skaf42(X2,X3)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f53]) ).

fof(f1774,plain,
    ( ! [X2,X3,X0,X1] : hd(cons(X0,cons(X1,skaf43(X2,X3)))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f52]) ).

fof(f1748,plain,
    ( ! [X0,X1] : hd(cons(X0,cons(X1,nil))) = X0
    | ~ spl0_5 ),
    inference(resolution,[],[f564,f8]) ).

fof(f1707,plain,
    ( ! [X0,X1] :
        ( ~ geq(X1,X0)
        | ~ geq(X0,X1)
        | X0 = X1 )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1706,f285]) ).

fof(f1706,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ geq(X1,X0)
        | ~ geq(X0,X1)
        | X0 = X1 )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f126,f285]) ).

fof(f1624,plain,
    ( ! [X0,X1] :
        ( ~ totalorderedP(cons(X0,X1))
        | totalorderedP(X1)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f125,f285]) ).

fof(f1551,plain,
    ( cyclefreeP(sk2)
    | skaf50(sk2) = skaf49(sk2)
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f187]) ).

fof(f1488,plain,
    ( ! [X0,X1] :
        ( ~ strictorderedP(cons(X0,X1))
        | strictorderedP(X1)
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f124,f285]) ).

fof(f1564,plain,
    ( skaf50(sk2) = skaf49(sk2)
    | cyclefreeP(sk2)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1563,f190]) ).

fof(f1563,plain,
    ( cyclefreeP(sk2)
    | skaf50(sk4) = skaf49(sk4)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1553,f190]) ).

fof(f1553,plain,
    ( cyclefreeP(sk4)
    | skaf50(sk4) = skaf49(sk4)
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f189]) ).

fof(f1547,plain,
    ( ! [X0] :
        ( cyclefreeP(tl(X0))
        | skaf50(tl(X0)) = skaf49(tl(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f75]) ).

fof(f1545,plain,
    ( ! [X0,X1] :
        ( cyclefreeP(app(X0,X1))
        | skaf50(app(X0,X1)) = skaf49(app(X0,X1))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f85]) ).

fof(f1544,plain,
    ( ! [X0,X1] :
        ( cyclefreeP(cons(X0,X1))
        | skaf50(cons(X0,X1)) = skaf49(cons(X0,X1))
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f460]) ).

fof(f1543,plain,
    ( ! [X0,X1] :
        ( cyclefreeP(skaf42(X0,X1))
        | skaf50(skaf42(X0,X1)) = skaf49(skaf42(X0,X1)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f53]) ).

fof(f1542,plain,
    ( ! [X0,X1] :
        ( cyclefreeP(skaf43(X0,X1))
        | skaf50(skaf43(X0,X1)) = skaf49(skaf43(X0,X1)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f52]) ).

fof(f1541,plain,
    ( ! [X0,X1] :
        ( cyclefreeP(skaf45(X0,X1))
        | skaf50(skaf45(X0,X1)) = skaf49(skaf45(X0,X1)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f51]) ).

fof(f1540,plain,
    ( ! [X0,X1] :
        ( cyclefreeP(skaf46(X0,X1))
        | skaf50(skaf46(X0,X1)) = skaf49(skaf46(X0,X1)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f50]) ).

fof(f1539,plain,
    ( ! [X0,X1] :
        ( cyclefreeP(skaf47(X0,X1))
        | skaf50(skaf47(X0,X1)) = skaf49(skaf47(X0,X1)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f49]) ).

fof(f1538,plain,
    ( ! [X0,X1] :
        ( cyclefreeP(skaf48(X0,X1))
        | skaf50(skaf48(X0,X1)) = skaf49(skaf48(X0,X1)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f48]) ).

fof(f1537,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf51(X0))
        | skaf50(skaf51(X0)) = skaf49(skaf51(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f44]) ).

fof(f1536,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf52(X0))
        | skaf50(skaf52(X0)) = skaf49(skaf52(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f43]) ).

fof(f1535,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf53(X0))
        | skaf50(skaf53(X0)) = skaf49(skaf53(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f42]) ).

fof(f1534,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf56(X0))
        | skaf50(skaf56(X0)) = skaf49(skaf56(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f39]) ).

fof(f1533,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf57(X0))
        | skaf50(skaf57(X0)) = skaf49(skaf57(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f38]) ).

fof(f1532,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf58(X0))
        | skaf50(skaf58(X0)) = skaf49(skaf58(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f37]) ).

fof(f1531,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf61(X0))
        | skaf50(skaf61(X0)) = skaf49(skaf61(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f34]) ).

fof(f1530,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf62(X0))
        | skaf50(skaf62(X0)) = skaf49(skaf62(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f33]) ).

fof(f1529,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf63(X0))
        | skaf50(skaf63(X0)) = skaf49(skaf63(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f32]) ).

fof(f1528,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf66(X0))
        | skaf50(skaf66(X0)) = skaf49(skaf66(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f29]) ).

fof(f1527,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf67(X0))
        | skaf50(skaf67(X0)) = skaf49(skaf67(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f28]) ).

fof(f1526,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf68(X0))
        | skaf50(skaf68(X0)) = skaf49(skaf68(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f27]) ).

fof(f1525,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf71(X0))
        | skaf50(skaf71(X0)) = skaf49(skaf71(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f24]) ).

fof(f1524,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf72(X0))
        | skaf50(skaf72(X0)) = skaf49(skaf72(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f23]) ).

fof(f1523,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf73(X0))
        | skaf50(skaf73(X0)) = skaf49(skaf73(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f22]) ).

fof(f1522,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf75(X0))
        | skaf50(skaf75(X0)) = skaf49(skaf75(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f20]) ).

fof(f1521,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf76(X0))
        | skaf50(skaf76(X0)) = skaf49(skaf76(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f19]) ).

fof(f1520,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf77(X0))
        | skaf50(skaf77(X0)) = skaf49(skaf77(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f18]) ).

fof(f1519,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf80(X0))
        | skaf50(skaf80(X0)) = skaf49(skaf80(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f15]) ).

fof(f1518,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf81(X0))
        | skaf50(skaf81(X0)) = skaf49(skaf81(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f14]) ).

fof(f1517,plain,
    ( ! [X0] :
        ( cyclefreeP(skaf82(X0))
        | skaf50(skaf82(X0)) = skaf49(skaf82(X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f13]) ).

fof(f1508,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cyclefreeP(X0)
        | skaf50(X0) = skaf49(X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1506,f88]) ).

fof(f1506,plain,
    ( ! [X0] :
        ( skaf50(X0) = skaf49(X0)
        | ~ leq(skaf49(X0),skaf50(X0))
        | cyclefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1503,f87]) ).

fof(f1515,plain,
    ( ! [X0] :
        ( skaf50(X0) = skaf49(X0)
        | cyclefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1513,f629]) ).

fof(f1513,plain,
    ( ! [X0] :
        ( skaf50(X0) = skaf49(X0)
        | ~ geq(skaf49(X0),skaf50(X0))
        | cyclefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1505,f88]) ).

fof(f1514,plain,
    ( ! [X0] :
        ( skaf50(X0) = skaf49(X0)
        | cyclefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1512,f630]) ).

fof(f1512,plain,
    ( ! [X0] :
        ( skaf50(X0) = skaf49(X0)
        | ~ geq(skaf50(X0),skaf49(X0))
        | cyclefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1505,f87]) ).

fof(f1511,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ geq(X0,X1)
        | ~ geq(X1,X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1505,f621]) ).

fof(f1505,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,X1)
        | X0 = X1
        | ~ geq(X0,X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1503,f621]) ).

fof(f1509,plain,
    ( ! [X0] :
        ( skaf50(X0) = skaf49(X0)
        | cyclefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1507,f87]) ).

fof(f1507,plain,
    ( ! [X0] :
        ( skaf50(X0) = skaf49(X0)
        | ~ leq(skaf50(X0),skaf49(X0))
        | cyclefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1503,f88]) ).

fof(f1503,plain,
    ( ! [X0,X1] :
        ( ~ leq(X1,X0)
        | X0 = X1
        | ~ leq(X0,X1) )
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f1502]) ).

fof(f1502,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,X1)
        | X0 = X1
        | X0 = X1
        | ~ leq(X1,X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1424,f1393]) ).

fof(f1424,plain,
    ( ! [X0,X1] :
        ( ~ lt(X1,X0)
        | ~ leq(X0,X1)
        | X0 = X1 )
    | ~ spl0_5 ),
    inference(resolution,[],[f1393,f634]) ).

fof(f1428,plain,
    ( ! [X0] :
        ( skaf60(X0) = skaf59(X0)
        | ~ leq(skaf59(X0),skaf60(X0))
        | strictorderP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1393,f93]) ).

fof(f1427,plain,
    ( ! [X0] :
        ( skaf60(X0) = skaf59(X0)
        | ~ leq(skaf60(X0),skaf59(X0))
        | strictorderP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1393,f92]) ).

fof(f1426,plain,
    ( ! [X0] :
        ( skaf70(X0) = skaf69(X0)
        | ~ leq(skaf69(X0),skaf70(X0))
        | strictorderedP(X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1393,f90]) ).

fof(f1393,plain,
    ( ! [X0,X1] :
        ( lt(X0,X1)
        | X0 = X1
        | ~ leq(X0,X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1392,f285]) ).

fof(f1392,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ leq(X0,X1)
        | X0 = X1
        | lt(X0,X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f121,f285]) ).

fof(f1359,plain,
    ( ! [X0] : cons(X0,sk2) = app(cons(X0,nil),sk2)
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f187]) ).

fof(f1358,plain,
    ( ! [X0] : cons(X0,sk1) = app(cons(X0,nil),sk1)
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f186]) ).

fof(f1366,plain,
    ( ! [X0] : cons(X0,sk2) = app(cons(X0,nil),sk2)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1361,f190]) ).

fof(f1361,plain,
    ( ! [X0] : cons(X0,sk4) = app(cons(X0,nil),sk4)
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f189]) ).

fof(f1365,plain,
    ( ! [X0] : cons(X0,sk1) = app(cons(X0,nil),sk1)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1360,f191]) ).

fof(f1360,plain,
    ( ! [X0] : cons(X0,sk3) = app(cons(X0,nil),sk3)
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f188]) ).

fof(f1356,plain,
    ( ! [X0,X1] :
        ( cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
        | nil = X1
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f75]) ).

fof(f1354,plain,
    ( ! [X2,X0,X1] :
        ( cons(X0,app(X1,X2)) = app(cons(X0,nil),app(X1,X2))
        | ~ ssList(X1)
        | ~ ssList(X2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f85]) ).

fof(f1353,plain,
    ( ! [X2,X0,X1] :
        ( cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
        | ~ ssList(X2) )
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f460]) ).

fof(f1352,plain,
    ( ! [X2,X0,X1] : cons(X0,skaf42(X1,X2)) = app(cons(X0,nil),skaf42(X1,X2))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f53]) ).

fof(f1351,plain,
    ( ! [X2,X0,X1] : cons(X0,skaf43(X1,X2)) = app(cons(X0,nil),skaf43(X1,X2))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f52]) ).

fof(f1350,plain,
    ( ! [X2,X0,X1] : cons(X0,skaf45(X1,X2)) = app(cons(X0,nil),skaf45(X1,X2))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f51]) ).

fof(f1349,plain,
    ( ! [X2,X0,X1] : cons(X0,skaf46(X1,X2)) = app(cons(X0,nil),skaf46(X1,X2))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f50]) ).

fof(f1348,plain,
    ( ! [X2,X0,X1] : cons(X0,skaf47(X1,X2)) = app(cons(X0,nil),skaf47(X1,X2))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f49]) ).

fof(f1347,plain,
    ( ! [X2,X0,X1] : cons(X0,skaf48(X1,X2)) = app(cons(X0,nil),skaf48(X1,X2))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f48]) ).

fof(f1346,plain,
    ( ! [X0,X1] : cons(X0,skaf51(X1)) = app(cons(X0,nil),skaf51(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f44]) ).

fof(f1345,plain,
    ( ! [X0,X1] : cons(X0,skaf52(X1)) = app(cons(X0,nil),skaf52(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f43]) ).

fof(f1344,plain,
    ( ! [X0,X1] : cons(X0,skaf53(X1)) = app(cons(X0,nil),skaf53(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f42]) ).

fof(f1343,plain,
    ( ! [X0,X1] : cons(X0,skaf56(X1)) = app(cons(X0,nil),skaf56(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f39]) ).

fof(f1342,plain,
    ( ! [X0,X1] : cons(X0,skaf57(X1)) = app(cons(X0,nil),skaf57(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f38]) ).

fof(f1341,plain,
    ( ! [X0,X1] : cons(X0,skaf58(X1)) = app(cons(X0,nil),skaf58(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f37]) ).

fof(f1340,plain,
    ( ! [X0,X1] : cons(X0,skaf61(X1)) = app(cons(X0,nil),skaf61(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f34]) ).

fof(f1339,plain,
    ( ! [X0,X1] : cons(X0,skaf62(X1)) = app(cons(X0,nil),skaf62(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f33]) ).

fof(f1338,plain,
    ( ! [X0,X1] : cons(X0,skaf63(X1)) = app(cons(X0,nil),skaf63(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f32]) ).

fof(f1337,plain,
    ( ! [X0,X1] : cons(X0,skaf66(X1)) = app(cons(X0,nil),skaf66(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f29]) ).

fof(f1336,plain,
    ( ! [X0,X1] : cons(X0,skaf67(X1)) = app(cons(X0,nil),skaf67(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f28]) ).

fof(f1335,plain,
    ( ! [X0,X1] : cons(X0,skaf68(X1)) = app(cons(X0,nil),skaf68(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f27]) ).

fof(f1334,plain,
    ( ! [X0,X1] : cons(X0,skaf71(X1)) = app(cons(X0,nil),skaf71(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f24]) ).

fof(f1333,plain,
    ( ! [X0,X1] : cons(X0,skaf72(X1)) = app(cons(X0,nil),skaf72(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f23]) ).

fof(f1332,plain,
    ( ! [X0,X1] : cons(X0,skaf73(X1)) = app(cons(X0,nil),skaf73(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f22]) ).

fof(f1331,plain,
    ( ! [X0,X1] : cons(X0,skaf75(X1)) = app(cons(X0,nil),skaf75(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f20]) ).

fof(f1330,plain,
    ( ! [X0,X1] : cons(X0,skaf76(X1)) = app(cons(X0,nil),skaf76(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f19]) ).

fof(f1329,plain,
    ( ! [X0,X1] : cons(X0,skaf77(X1)) = app(cons(X0,nil),skaf77(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f18]) ).

fof(f1328,plain,
    ( ! [X0,X1] : cons(X0,skaf80(X1)) = app(cons(X0,nil),skaf80(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f15]) ).

fof(f1327,plain,
    ( ! [X0,X1] : cons(X0,skaf81(X1)) = app(cons(X0,nil),skaf81(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f14]) ).

fof(f1326,plain,
    ( ! [X0,X1] : cons(X0,skaf82(X1)) = app(cons(X0,nil),skaf82(X1))
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f13]) ).

fof(f1325,plain,
    ( ! [X0] : cons(X0,nil) = app(cons(X0,nil),nil)
    | ~ spl0_5 ),
    inference(resolution,[],[f1193,f8]) ).

fof(f1193,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | cons(X0,X1) = app(cons(X0,nil),X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f120,f285]) ).

fof(f1075,plain,
    ( nil = tl(sk6)
    | tl(sk6) = cons(hd(tl(sk6)),tl(tl(sk6)))
    | ~ spl0_9 ),
    inference(resolution,[],[f728,f104]) ).

fof(f1074,plain,
    ( nil = tl(sk6)
    | tl(sk6) = cons(skaf83(tl(sk6)),skaf82(tl(sk6)))
    | ~ spl0_9 ),
    inference(resolution,[],[f728,f109]) ).

fof(f722,plain,
    ( nil != sk6
    | ~ ssList(tl(sk6))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f474,f714]) ).

fof(f841,plain,
    ( sk2 = app(sk1,sk7)
    | nil = sk1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f840,f190]) ).

fof(f840,plain,
    ( sk4 = app(sk1,sk7)
    | nil = sk1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f839,f374]) ).

fof(f839,plain,
    ( sk4 = app(app(nil,sk1),sk7)
    | nil = sk1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f838,f718]) ).

fof(f837,plain,
    ( ! [X6] : ~ memberP(nil,X6)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f836,f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f240,f207,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f252,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f254,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f486,f510,f511,f512,f513,f514,f515,f516,f524,f517,f487,f488,f535,f536,f564,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f834,f785,f835,f695,f472]) ).

fof(f860,plain,
    ( sk2 = app(sk1,sk7)
    | nil = sk2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f859,f190]) ).

fof(f859,plain,
    ( sk4 = app(sk1,sk7)
    | nil = sk2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f858,f374]) ).

fof(f858,plain,
    ( sk4 = app(app(nil,sk1),sk7)
    | nil = sk2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f857,f718]) ).

fof(f856,plain,
    ( ! [X6] : ~ memberP(nil,X6)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f207,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f252,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f510,f511,f512,f513,f514,f515,f516,f524,f517,f487,f488,f535,f564,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f834,f785,f835,f695,f472,f836,f837,f845,f254,f240,f841,f853,f786,f854,f696,f536,f575,f568,f486,f525,f518,f467,f855]) ).

fof(f855,plain,
    ( ! [X6] :
        ( ~ memberP(nil,X6)
        | nil = sk2
        | ~ lt(sk5,X6) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f465,f718]) ).

fof(f465,plain,
    ( ! [X6] :
        ( nil = sk2
        | ~ memberP(sk6,X6)
        | ~ lt(sk5,X6) )
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f464,f190]) ).

fof(f464,plain,
    ( ! [X6] :
        ( ~ memberP(sk6,X6)
        | ~ lt(sk5,X6)
        | nil = sk4 )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f198,f285]) ).

fof(f836,plain,
    ( ! [X6] :
        ( ~ memberP(nil,X6)
        | nil = sk1
        | ~ lt(sk5,X6) )
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f469,f718]) ).

fof(f469,plain,
    ( ! [X6] :
        ( nil = sk1
        | ~ memberP(sk6,X6)
        | ~ lt(sk5,X6) )
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f468,f191]) ).

fof(f468,plain,
    ( ! [X6] :
        ( ~ memberP(sk6,X6)
        | ~ lt(sk5,X6)
        | nil = sk3 )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f204,f285]) ).

fof(f747,plain,
    ( nil = cons(hd(nil),tl(nil))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f714,f718]) ).

fof(f720,plain,
    ( memberP(sk6,hd(sk6))
    | ~ ssList(tl(sk6))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f478,f714]) ).

fof(f721,plain,
    ( sk6 != tl(sk6)
    | ~ ssList(tl(sk6))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f476,f714]) ).

fof(f1988,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f1987]) ).

fof(f1987,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_41 ),
    inference(global_subsumption,[],[f1955,f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548,f1357,f1077,f1079,f1078,f1076,f1982]) ).

fof(f1955,plain,
    ( ssList(cons(skaf83(sk6),nil))
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f1954]) ).

fof(f1954,plain,
    ( spl0_41
  <=> ssList(cons(skaf83(sk6),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1986,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1985]) ).

fof(f1985,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f789,f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548,f1357,f1077,f1079,f1078,f1076,f1982]) ).

fof(f1984,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1983]) ).

fof(f1983,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548,f1357,f1077,f1079,f1078,f1076,f1982]) ).

fof(f1981,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1980]) ).

fof(f1980,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548,f1357,f1077,f1079,f1078,f1076]) ).

fof(f1979,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1978]) ).

fof(f1978,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f1076,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548,f1357,f1077,f1079,f1078]) ).

fof(f1977,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1976]) ).

fof(f1976,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f1076,f1078,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548,f1357,f1077,f1079]) ).

fof(f1975,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1974]) ).

fof(f1974,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f1076,f1078,f1079,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548,f1357,f1077]) ).

fof(f1973,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1972]) ).

fof(f1972,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f1076,f1077,f1078,f1079,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548,f1357]) ).

fof(f1971,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1970]) ).

fof(f1970,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1429,f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f1076,f1077,f1078,f1079,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548]) ).

fof(f1429,plain,
    ( sk5 = hd(sk6)
    | ~ leq(sk5,hd(sk6))
    | spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(resolution,[],[f1393,f1080]) ).

fof(f1080,plain,
    ( ~ lt(sk5,hd(sk6))
    | spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(resolution,[],[f1071,f733]) ).

fof(f1071,plain,
    ( ! [X6] :
        ( ~ memberP(sk6,X6)
        | ~ lt(sk5,X6) )
    | spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f469,f279]) ).

fof(f1969,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1968]) ).

fof(f1968,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f1076,f1077,f1078,f1079,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780,f1548]) ).

fof(f1967,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1966]) ).

fof(f1966,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f285,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f460,f461,f462,f87,f88,f89,f90,f91,f92,f93,f94,f95,f474,f476,f478,f330,f331,f332,f333,f485,f514,f515,f516,f524,f517,f487,f488,f535,f565,f566,f574,f567,f537,f538,f100,f539,f540,f541,f542,f543,f544,f545,f546,f547,f548,f549,f101,f550,f551,f552,f553,f554,f555,f556,f557,f489,f490,f491,f586,f492,f493,f494,f495,f496,f497,f498,f499,f500,f501,f600,f502,f503,f504,f505,f506,f507,f558,f559,f560,f561,f608,f562,f563,f334,f335,f368,f369,f370,f371,f372,f373,f618,f621,f622,f623,f624,f626,f629,f630,f632,f633,f634,f635,f638,f508,f509,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f701,f693,f694,f714,f721,f720,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f791,f783,f784,f747,f834,f785,f835,f695,f472,f836,f845,f853,f786,f854,f467,f855,f856,f860,f861,f837,f252,f208,f841,f240,f254,f118,f722,f728,f1074,f1075,f1076,f1077,f1078,f1079,f119,f696,f207,f536,f486,f575,f525,f382,f344,f337,f375,f518,f568,f1193,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1356,f1365,f1366,f1358,f1359,f1393,f1426,f1427,f1428,f1424,f1503,f1509,f1505,f1511,f1514,f1515,f1508,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1531,f1532,f1533,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1547,f1564,f1488,f1551,f1624,f1707,f127,f510,f511,f512,f513,f564,f1748,f1774,f1775,f1776,f1777,f1779,f1791,f1792,f1782,f1783,f128,f1749,f1750,f1751,f1752,f1753,f1754,f129,f1755,f1756,f1757,f1758,f1759,f1760,f1761,f1762,f1763,f1764,f1765,f1766,f1767,f1768,f1769,f1770,f1771,f1772,f1773,f1817,f1901,f1943,f1910,f1945,f1914,f1947,f1780]) ).

fof(f1964,plain,
    ( ~ spl0_5
    | spl0_41 ),
    inference(avatar_contradiction_clause,[],[f1963]) ).

fof(f1963,plain,
    ( $false
    | ~ spl0_5
    | spl0_41 ),
    inference(subsumption_resolution,[],[f1962,f8]) ).

fof(f1962,plain,
    ( ~ ssList(nil)
    | ~ spl0_5
    | spl0_41 ),
    inference(resolution,[],[f1956,f460]) ).

fof(f1956,plain,
    ( ~ ssList(cons(skaf83(sk6),nil))
    | spl0_41 ),
    inference(avatar_component_clause,[],[f1954]) ).

fof(f1961,plain,
    ( ~ spl0_41
    | spl0_42
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1951,f727,f716,f284,f274,f1958,f1954]) ).

fof(f1958,plain,
    ( spl0_42
  <=> rearsegP(sk6,skaf82(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1951,plain,
    ( rearsegP(sk6,skaf82(sk6))
    | ~ ssList(cons(skaf83(sk6),nil))
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1904,f1072]) ).

fof(f1904,plain,
    ( ! [X0] :
        ( rearsegP(cons(X0,skaf82(sk6)),skaf82(sk6))
        | ~ ssList(cons(X0,nil)) )
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1855,f13]) ).

fof(f1855,plain,
    ( ! [X0] :
        ( rearsegP(cons(X0,skaf82(sk6)),skaf82(sk6))
        | ~ ssList(skaf82(sk6))
        | ~ ssList(cons(X0,nil)) )
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1817,f1364]) ).

fof(f1364,plain,
    ( ! [X0] : cons(X0,skaf82(sk6)) = app(cons(X0,nil),skaf82(sk6))
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1357,f1086]) ).

fof(f1086,plain,
    ( tl(sk6) = skaf82(sk6)
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8 ),
    inference(superposition,[],[f487,f1072]) ).

fof(f1938,plain,
    ( spl0_39
    | ~ spl0_40
    | ~ spl0_3
    | spl0_4
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1923,f1209,f830,f278,f274,f1935,f1931]) ).

fof(f1716,plain,
    ( spl0_37
    | spl0_38
    | spl0_2
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1561,f1317,f284,f260,f1713,f1709]) ).

fof(f1709,plain,
    ( spl0_37
  <=> cyclefreeP(skaf82(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1713,plain,
    ( spl0_38
  <=> skaf50(skaf82(sk2)) = skaf49(skaf82(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1561,plain,
    ( skaf50(skaf82(sk2)) = skaf49(skaf82(sk2))
    | cyclefreeP(skaf82(sk2))
    | spl0_2
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1560,f1457]) ).

fof(f1457,plain,
    ( tl(sk2) = skaf82(sk2)
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f487,f1455]) ).

fof(f1455,plain,
    ( sk2 = cons(skaf83(sk2),skaf82(sk2))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f786,f261]) ).

fof(f1560,plain,
    ( cyclefreeP(skaf82(sk2))
    | skaf50(tl(sk2)) = skaf49(tl(sk2))
    | spl0_2
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1549,f1457]) ).

fof(f1549,plain,
    ( cyclefreeP(tl(sk2))
    | skaf50(tl(sk2)) = skaf49(tl(sk2))
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f1508,f1318]) ).

fof(f1705,plain,
    ( spl0_35
    | spl0_36
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1559,f727,f716,f284,f274,f1702,f1698]) ).

fof(f1698,plain,
    ( spl0_35
  <=> cyclefreeP(skaf82(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1702,plain,
    ( spl0_36
  <=> skaf50(skaf82(sk6)) = skaf49(skaf82(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1559,plain,
    ( skaf50(skaf82(sk6)) = skaf49(skaf82(sk6))
    | cyclefreeP(skaf82(sk6))
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1558,f1086]) ).

fof(f1558,plain,
    ( cyclefreeP(skaf82(sk6))
    | skaf50(tl(sk6)) = skaf49(tl(sk6))
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1548,f1086]) ).

fof(f1696,plain,
    ( spl0_33
    | ~ spl0_34
    | spl0_2
    | ~ spl0_5
    | spl0_28 ),
    inference(avatar_split_clause,[],[f1664,f1639,f284,f260,f1693,f1689]) ).

fof(f1689,plain,
    ( spl0_33
  <=> totalorderedP(skaf82(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1639,plain,
    ( spl0_28
  <=> nil = skaf82(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1664,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(skaf82(sk2))
    | spl0_2
    | ~ spl0_5
    | spl0_28 ),
    inference(subsumption_resolution,[],[f1663,f13]) ).

fof(f1663,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(skaf82(sk2))
    | ~ ssList(skaf82(sk2))
    | spl0_2
    | ~ spl0_5
    | spl0_28 ),
    inference(subsumption_resolution,[],[f1654,f1640]) ).

fof(f1640,plain,
    ( nil != skaf82(sk2)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f1639]) ).

fof(f1654,plain,
    ( ~ totalorderedP(sk2)
    | totalorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | ~ ssList(skaf82(sk2))
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1624,f1455]) ).

fof(f1687,plain,
    ( spl0_31
    | ~ spl0_32
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | spl0_25 ),
    inference(avatar_split_clause,[],[f1662,f1626,f716,f284,f274,f1684,f1680]) ).

fof(f1662,plain,
    ( ~ totalorderedP(sk6)
    | totalorderedP(skaf82(sk6))
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | spl0_25 ),
    inference(subsumption_resolution,[],[f1661,f13]) ).

fof(f1661,plain,
    ( ~ totalorderedP(sk6)
    | totalorderedP(skaf82(sk6))
    | ~ ssList(skaf82(sk6))
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8
    | spl0_25 ),
    inference(subsumption_resolution,[],[f1652,f1627]) ).

fof(f1652,plain,
    ( ~ totalorderedP(sk6)
    | totalorderedP(skaf82(sk6))
    | nil = skaf82(sk6)
    | ~ ssList(skaf82(sk6))
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8 ),
    inference(superposition,[],[f1624,f1072]) ).

fof(f1650,plain,
    ( spl0_28
    | spl0_29
    | ~ spl0_30
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1577,f284,f260,f1647,f1643,f1639]) ).

fof(f1643,plain,
    ( spl0_29
  <=> strictorderedP(skaf82(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1577,plain,
    ( ~ strictorderedP(sk2)
    | strictorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1569,f13]) ).

fof(f1569,plain,
    ( ~ strictorderedP(sk2)
    | strictorderedP(skaf82(sk2))
    | nil = skaf82(sk2)
    | ~ ssList(skaf82(sk2))
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1488,f1455]) ).

fof(f1637,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_27
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f1576,f716,f284,f274,f1634,f1630,f1626]) ).

fof(f1576,plain,
    ( ~ strictorderedP(sk6)
    | strictorderedP(skaf82(sk6))
    | nil = skaf82(sk6)
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1567,f13]) ).

fof(f1567,plain,
    ( ~ strictorderedP(sk6)
    | strictorderedP(skaf82(sk6))
    | nil = skaf82(sk6)
    | ~ ssList(skaf82(sk6))
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8 ),
    inference(superposition,[],[f1488,f1072]) ).

fof(f1607,plain,
    ( spl0_23
    | spl0_24
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1554,f284,f274,f1604,f1600]) ).

fof(f1600,plain,
    ( spl0_23
  <=> skaf50(sk6) = skaf49(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1554,plain,
    ( cyclefreeP(sk6)
    | skaf50(sk6) = skaf49(sk6)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(resolution,[],[f1508,f276]) ).

fof(f1598,plain,
    ( spl0_21
    | spl0_22
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1551,f284,f1595,f1591]) ).

fof(f1591,plain,
    ( spl0_21
  <=> skaf50(sk2) = skaf49(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1595,plain,
    ( spl0_22
  <=> cyclefreeP(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1441,plain,
    ( ~ spl0_19
    | spl0_20
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f1430,f716,f284,f278,f274,f1438,f1434]) ).

fof(f1434,plain,
    ( spl0_19
  <=> leq(sk5,skaf83(sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1438,plain,
    ( spl0_20
  <=> sk5 = skaf83(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1430,plain,
    ( sk5 = skaf83(sk6)
    | ~ leq(sk5,skaf83(sk6))
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_8 ),
    inference(resolution,[],[f1393,f1093]) ).

fof(f1093,plain,
    ( ~ lt(sk5,skaf83(sk6))
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_8 ),
    inference(resolution,[],[f1091,f1071]) ).

fof(f1091,plain,
    ( memberP(sk6,skaf83(sk6))
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1087,f13]) ).

fof(f1087,plain,
    ( memberP(sk6,skaf83(sk6))
    | ~ ssList(skaf82(sk6))
    | ~ spl0_3
    | ~ spl0_5
    | spl0_8 ),
    inference(superposition,[],[f478,f1072]) ).

fof(f1371,plain,
    ( spl0_2
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1370]) ).

fof(f1370,plain,
    ( $false
    | spl0_2
    | spl0_17 ),
    inference(subsumption_resolution,[],[f1369,f187]) ).

fof(f1369,plain,
    ( ~ ssList(sk2)
    | spl0_2
    | spl0_17 ),
    inference(subsumption_resolution,[],[f1368,f261]) ).

fof(f1368,plain,
    ( nil = sk2
    | ~ ssList(sk2)
    | spl0_17 ),
    inference(resolution,[],[f1319,f75]) ).

fof(f1319,plain,
    ( ~ ssList(tl(sk2))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f1317]) ).

fof(f1324,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1310,f284,f260,f1321,f1317]) ).

fof(f1321,plain,
    ( spl0_18
  <=> memberP(sk2,hd(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1310,plain,
    ( memberP(sk2,hd(sk2))
    | ~ ssList(tl(sk2))
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f478,f1247]) ).

fof(f1267,plain,
    ( spl0_4
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1266]) ).

fof(f1266,plain,
    ( $false
    | spl0_4
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1265,f186]) ).

fof(f1265,plain,
    ( ~ ssList(sk1)
    | spl0_4
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1264,f279]) ).

fof(f1264,plain,
    ( nil = sk1
    | ~ ssList(sk1)
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1261,f8]) ).

fof(f1261,plain,
    ( ~ ssList(nil)
    | nil = sk1
    | ~ ssList(sk1)
    | spl0_16 ),
    inference(resolution,[],[f1258,f100]) ).

fof(f1258,plain,
    ( ~ neq(sk1,nil)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f1256]) ).

fof(f1256,plain,
    ( spl0_16
  <=> neq(sk1,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1263,plain,
    ( spl0_4
    | ~ spl0_5
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1262]) ).

fof(f1262,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | spl0_16 ),
    inference(subsumption_resolution,[],[f1260,f279]) ).

fof(f1260,plain,
    ( nil = sk1
    | ~ spl0_5
    | spl0_16 ),
    inference(resolution,[],[f1258,f586]) ).

fof(f1259,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1248,f260,f1256,f1252]) ).

fof(f1248,plain,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1)
    | spl0_2 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f845,f853,f786,f854,f382,f375,f344,f337,f861,f261,f868,f873,f874,f252,f208,f240,f254,f118,f119,f696,f1247,f207]) ).

fof(f1242,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1241]) ).

fof(f1241,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1240,f186]) ).

fof(f1240,plain,
    ( ~ ssList(sk1)
    | ~ spl0_3
    | spl0_8
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1239,f717]) ).

fof(f1239,plain,
    ( nil = sk6
    | ~ ssList(sk1)
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1232,f276]) ).

fof(f1232,plain,
    ( ~ ssList(sk6)
    | nil = sk6
    | ~ ssList(sk1)
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1230]) ).

fof(f1230,plain,
    ( nil != nil
    | ~ ssList(sk6)
    | nil = sk6
    | ~ ssList(sk1)
    | ~ spl0_13 ),
    inference(superposition,[],[f118,f1207]) ).

fof(f1207,plain,
    ( nil = app(sk6,sk1)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f1205,plain,
    ( spl0_13
  <=> nil = app(sk6,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1238,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1237]) ).

fof(f1237,plain,
    ( $false
    | ~ spl0_3
    | spl0_4
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1236,f186]) ).

fof(f1236,plain,
    ( ~ ssList(sk1)
    | ~ spl0_3
    | spl0_4
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1235,f279]) ).

fof(f1235,plain,
    ( nil = sk1
    | ~ ssList(sk1)
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1233,f276]) ).

fof(f1233,plain,
    ( ~ ssList(sk6)
    | nil = sk1
    | ~ ssList(sk1)
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1229]) ).

fof(f1229,plain,
    ( nil != nil
    | ~ ssList(sk6)
    | nil = sk1
    | ~ ssList(sk1)
    | ~ spl0_13 ),
    inference(superposition,[],[f119,f1207]) ).

fof(f1216,plain,
    ( ~ spl0_3
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1215]) ).

fof(f1215,plain,
    ( $false
    | ~ spl0_3
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1214,f186]) ).

fof(f1214,plain,
    ( ~ ssList(sk1)
    | ~ spl0_3
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1213,f276]) ).

fof(f1213,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk1)
    | spl0_14 ),
    inference(resolution,[],[f1211,f85]) ).

fof(f1211,plain,
    ( ~ ssList(app(sk6,sk1))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f1212,plain,
    ( spl0_13
    | ~ spl0_14
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1084,f278,f260,f1209,f1205]) ).

fof(f1084,plain,
    ( ~ ssList(app(sk6,sk1))
    | nil = app(sk6,sk1)
    | ~ spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f1083,f282]) ).

fof(f1083,plain,
    ( ~ ssList(app(sk6,sk1))
    | nil = app(sk6,sk1)
    | ~ ssList(sk7)
    | ~ spl0_2
    | spl0_4 ),
    inference(trivial_inequality_removal,[],[f1081]) ).

fof(f1081,plain,
    ( nil != nil
    | ~ ssList(app(sk6,sk1))
    | nil = app(sk6,sk1)
    | ~ ssList(sk7)
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f118,f1070]) ).

fof(f1070,plain,
    ( nil = app(app(sk6,sk1),sk7)
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f1069,f262]) ).

fof(f262,plain,
    ( nil = sk2
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f1162,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1161]) ).

fof(f1161,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1160,f186]) ).

fof(f1160,plain,
    ( ~ ssList(sk1)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1159,f276]) ).

fof(f1159,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk1)
    | ~ spl0_2
    | spl0_4
    | spl0_12 ),
    inference(resolution,[],[f1158,f85]) ).

fof(f1158,plain,
    ( ~ ssList(app(sk6,sk1))
    | ~ spl0_2
    | spl0_4
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1157,f282]) ).

fof(f1157,plain,
    ( ~ ssList(app(sk6,sk1))
    | ~ ssList(sk7)
    | ~ spl0_2
    | spl0_4
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1156,f831]) ).

fof(f1156,plain,
    ( ~ ssList(app(sk6,sk1))
    | nil = sk7
    | ~ ssList(sk7)
    | ~ spl0_2
    | spl0_4 ),
    inference(trivial_inequality_removal,[],[f1155]) ).

fof(f1155,plain,
    ( nil != nil
    | ~ ssList(app(sk6,sk1))
    | nil = sk7
    | ~ ssList(sk7)
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f119,f1070]) ).

fof(f1067,plain,
    ( ~ spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1066]) ).

fof(f1066,plain,
    ( $false
    | ~ spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1065,f282]) ).

fof(f1065,plain,
    ( ~ ssList(sk7)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1064,f279]) ).

fof(f1064,plain,
    ( nil = sk1
    | ~ ssList(sk7)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1063,f186]) ).

fof(f1063,plain,
    ( ~ ssList(sk1)
    | nil = sk1
    | ~ ssList(sk7)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f1061]) ).

fof(f1061,plain,
    ( nil != nil
    | ~ ssList(sk1)
    | nil = sk1
    | ~ ssList(sk7)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f118,f903]) ).

fof(f903,plain,
    ( nil = app(sk1,sk7)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f889,f262]) ).

fof(f889,plain,
    ( sk2 = app(sk1,sk7)
    | spl0_4
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f279,f282,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f293,f73,f343,f336,f341,f74,f381,f374,f379,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f718,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f795,f790,f792,f700,f834,f785,f835,f695,f845,f254,f240,f853,f786,f854,f696,f860,f382,f375,f344,f337,f207,f861,f252,f887,f208,f888,f841]) ).

fof(f886,plain,
    ( spl0_2
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f885]) ).

fof(f885,plain,
    ( $false
    | spl0_2
    | spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f845,f827,f254,f240,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f208,f252,f261,f831,f868,f875,f876,f873,f874]) ).

fof(f876,plain,
    ( sk7 = cons(hd(sk7),tl(sk7))
    | spl0_2
    | spl0_12 ),
    inference(subsumption_resolution,[],[f870,f831]) ).

fof(f870,plain,
    ( nil = sk7
    | sk7 = cons(hd(sk7),tl(sk7))
    | spl0_2 ),
    inference(resolution,[],[f868,f104]) ).

fof(f875,plain,
    ( sk7 = cons(skaf83(sk7),skaf82(sk7))
    | spl0_2
    | spl0_12 ),
    inference(subsumption_resolution,[],[f869,f831]) ).

fof(f869,plain,
    ( nil = sk7
    | sk7 = cons(skaf83(sk7),skaf82(sk7))
    | spl0_2 ),
    inference(resolution,[],[f868,f109]) ).

fof(f827,plain,
    ( sk7 != cons(hd(sk7),tl(sk7))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f884,plain,
    ( spl0_2
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f883]) ).

fof(f883,plain,
    ( $false
    | spl0_2
    | spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f845,f827,f254,f240,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f208,f252,f261,f831,f868,f875,f876,f873]) ).

fof(f882,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f881]) ).

fof(f881,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f872,f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f845,f827,f254,f240,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f208,f252,f261,f831,f868,f875,f876]) ).

fof(f872,plain,
    ( ! [X0] : sk7 = tl(cons(X0,sk7))
    | spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f868,f485]) ).

fof(f880,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f879]) ).

fof(f879,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f871,f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f845,f827,f254,f240,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f208,f252,f261,f831,f868,f875,f876]) ).

fof(f871,plain,
    ( ! [X0] : hd(cons(X0,sk7)) = X0
    | spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f868,f535]) ).

fof(f878,plain,
    ( spl0_2
    | spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f877]) ).

fof(f877,plain,
    ( $false
    | spl0_2
    | spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f206,f196,f197,f202,f203,f209,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f249,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f845,f827,f254,f240,f853,f786,f854,f696,f382,f375,f344,f337,f207,f861,f208,f252,f261,f831,f868,f875,f876]) ).

fof(f849,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f848]) ).

fof(f848,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f240,f207,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f252,f249,f262,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f844,f845,f272,f846,f254,f847,f280]) ).

fof(f847,plain,
    ( ssList(sk7)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f240,f207,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f252,f249,f262,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f844,f845,f272,f846,f254]) ).

fof(f846,plain,
    ( nil != sk1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f192,f193,f194,f195,f201,f200,f208,f206,f196,f197,f202,f203,f209,f240,f207,f199,f205,f198,f204,f86,f98,f99,f96,f97,f120,f142,f162,f165,f166,f167,f164,f163,f210,f211,f212,f76,f78,f77,f238,f110,f105,f107,f114,f106,f103,f108,f102,f157,f215,f216,f244,f217,f245,f169,f149,f131,f168,f132,f118,f119,f123,f133,f236,f139,f126,f130,f121,f122,f141,f140,f125,f124,f134,f135,f136,f137,f150,f151,f220,f221,f235,f128,f127,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f224,f158,f172,f225,f153,f152,f154,f226,f234,f177,f228,f229,f230,f231,f232,f233,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,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,f241,f242,f243,f251,f252,f249,f262,f48,f49,f50,f51,f52,f53,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f237,f254,f250,f253,f239,f246,f64,f65,f66,f67,f68,f69,f70,f72,f73,f343,f336,f74,f381,f374,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f321,f322,f323,f324,f325,f326,f75,f390,f391,f327,f328,f329,f347,f348,f349,f350,f351,f352,f353,f354,f355,f356,f357,f358,f359,f360,f361,f362,f363,f364,f365,f366,f367,f80,f82,f84,f85,f407,f408,f87,f88,f89,f90,f91,f92,f93,f94,f95,f330,f331,f332,f333,f100,f101,f334,f335,f368,f369,f370,f371,f372,f373,f104,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f693,f694,f109,f755,f756,f757,f758,f759,f760,f761,f762,f763,f764,f765,f766,f767,f768,f769,f770,f771,f772,f773,f774,f775,f776,f777,f778,f779,f780,f781,f783,f784,f834,f785,f835,f695,f844,f845,f272]) ).

fof(f272,plain,
    ( neq(nil,nil)
    | nil != sk1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f208,f262]) ).

fof(f844,plain,
    ( nil != sk1
    | ~ neq(nil,nil)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f843,f242]) ).

fof(f843,plain,
    ( ~ segmentP(nil,nil)
    | nil != sk1
    | ~ neq(nil,nil)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f240,f262]) ).

fof(f833,plain,
    ( spl0_11
    | spl0_12
    | spl0_4 ),
    inference(avatar_split_clause,[],[f700,f278,f830,f826]) ).

fof(f738,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f737]) ).

fof(f737,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f736,f276]) ).

fof(f736,plain,
    ( ~ ssList(sk6)
    | spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f735,f717]) ).

fof(f735,plain,
    ( nil = sk6
    | ~ ssList(sk6)
    | spl0_9 ),
    inference(resolution,[],[f729,f75]) ).

fof(f729,plain,
    ( ~ ssList(tl(sk6))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f734,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f720,f712,f284,f731,f727]) ).

fof(f719,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f699,f274,f716,f712]) ).

fof(f289,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f72,f287,f284]) ).

fof(f281,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f253,f278,f274]) ).

fof(f271,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f270]) ).

fof(f270,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f269,f8]) ).

fof(f269,plain,
    ( ~ ssList(nil)
    | spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f237,f268]) ).

fof(f268,plain,
    ( neq(nil,nil)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f267,f262]) ).

fof(f267,plain,
    ( neq(sk2,nil)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f208,f265]) ).

fof(f265,plain,
    ( nil = sk1
    | spl0_1 ),
    inference(subsumption_resolution,[],[f250,f257]) ).

fof(f257,plain,
    ( ~ ssItem(sk5)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f263,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f249,f260,f256]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : SWC109-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.33  % Computer : n025.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit   : 300
% 0.10/0.33  % WCLimit    : 300
% 0.10/0.33  % DateTime   : Tue Apr 30 04:26:41 EDT 2024
% 0.10/0.33  % CPUTime    : 
% 0.10/0.33  % (24876)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.35  % (24882)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)
% 0.10/0.35  % (24879)WARNING: value z3 for option sas not known
% 0.10/0.35  % (24881)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)
% 0.10/0.35  % (24880)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.35  % (24877)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.35  % (24878)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.35  % (24879)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)
% 0.10/0.35  % (24883)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)
% 0.17/0.36  TRYING [1]
% 0.17/0.36  TRYING [2]
% 0.17/0.38  TRYING [3]
% 0.17/0.40  TRYING [1]
% 0.17/0.41  TRYING [2]
% 0.17/0.42  TRYING [4]
% 0.17/0.43  TRYING [1]
% 0.17/0.43  TRYING [2]
% 0.17/0.45  TRYING [3]
% 0.17/0.49  TRYING [3]
% 0.17/0.50  TRYING [4]
% 1.57/0.56  TRYING [5]
% 2.09/0.65  TRYING [5]
% 2.33/0.68  TRYING [4]
% 3.78/0.89  % (24879)First to succeed.
% 3.78/0.91  % (24879)Refutation found. Thanks to Tanya!
% 3.78/0.91  % SZS status Unsatisfiable for theBenchmark
% 3.78/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 3.78/0.92  % (24879)------------------------------
% 3.78/0.92  % (24879)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.78/0.92  % (24879)Termination reason: Refutation
% 3.78/0.92  
% 3.78/0.92  % (24879)Memory used [KB]: 6904
% 3.78/0.92  % (24879)Time elapsed: 0.556 s
% 3.78/0.92  % (24879)Instructions burned: 1281 (million)
% 3.78/0.92  % (24879)------------------------------
% 3.78/0.92  % (24879)------------------------------
% 3.78/0.92  % (24876)Success in time 0.57 s
%------------------------------------------------------------------------------