%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC214+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 May 21 05:03:32 EDT 2024

% Result   : Theorem 8.89s 1.64s
% Output   : Refutation 8.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :  318
% Syntax   : Number of formulae    : 3286 (  92 unt;   0 def)
%            Number of atoms       : 13190 (2695 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives : 16997 (7093   ~;8629   |; 759   &)
%                                         ( 230 <=>; 286  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :  192 ( 190 usr; 154 prp; 0-2 aty)
%            Number of functors    :   56 (  56 usr;   7 con; 0-2 aty)
%            Number of variables   : 4003 (3680   !; 323   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22571,plain,
    $false,
    inference(avatar_sat_refutation,[],[f779,f843,f1054,f1182,f1188,f1209,f1212,f1361,f1365,f1447,f1451,f1486,f1490,f1570,f1576,f1601,f1605,f1757,f1771,f1860,f1864,f1909,f1913,f2185,f2189,f2266,f2275,f2392,f2424,f2428,f2431,f2434,f2476,f2508,f2512,f2515,f2518,f2656,f2661,f2783,f2788,f2911,f2934,f3363,f3565,f3569,f3572,f3580,f3696,f3700,f3703,f3711,f3737,f3742,f4054,f4059,f4408,f4413,f4858,f4862,f4865,f4873,f4901,f4906,f4909,f4912,f4976,f5004,f5008,f5011,f5019,f5047,f5052,f5055,f5058,f5066,f5285,f5290,f5292,f5300,f5438,f5443,f5445,f5453,f5483,f5488,f5490,f5498,f5528,f5533,f5535,f5543,f5574,f5579,f5581,f5589,f6533,f6545,f7779,f7795,f8591,f8742,f8746,f8843,f8850,f8857,f8860,f8872,f8875,f9342,f9375,f9748,f9754,f9757,f9761,f9792,f9841,f9848,f9852,f9854,f9862,f10237,f10293,f10467,f10575,f10614,f10617,f10629,f10633,f10654,f10658,f11001,f11128,f11284,f11291,f11294,f11313,f11317,f13512,f13615,f13629,f15899,f15911,f15931,f15943,f15963,f15989,f15993,f16002,f16028,f16032,f16065,f16585,f16603,f16607,f16752,f16858,f16862,f17596,f17608,f17708,f17724,f17731,f17734,f17790,f17839,f17843,f18025,f18029,f18205,f18209,f18283,f18287,f18410,f18421,f18425,f18579,f18586,f18699,f18969,f18974,f22542,f22554,f22570]) ).

fof(f22570,plain,
    ( ~ spl69_24
    | spl69_92
    | spl69_153 ),
    inference(avatar_contradiction_clause,[],[f22569]) ).

fof(f22569,plain,
    ( $false
    | ~ spl69_24
    | spl69_92
    | spl69_153 ),
    inference(subsumption_resolution,[],[f22568,f393]) ).

fof(f393,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f22568,plain,
    ( ~ ssList(nil)
    | ~ spl69_24
    | spl69_92
    | spl69_153 ),
    inference(subsumption_resolution,[],[f22567,f2179]) ).

fof(f2179,plain,
    ( ssList(cons(hd(sK19),nil))
    | ~ spl69_24 ),
    inference(avatar_component_clause,[],[f2178]) ).

fof(f2178,plain,
    ( spl69_24
  <=> ssList(cons(hd(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_24])]) ).

fof(f22567,plain,
    ( ~ ssList(cons(hd(sK19),nil))
    | ~ ssList(nil)
    | spl69_92
    | spl69_153 ),
    inference(subsumption_resolution,[],[f22565,f10461]) ).

fof(f10461,plain,
    ( nil != cons(hd(sK19),nil)
    | spl69_92 ),
    inference(avatar_component_clause,[],[f10460]) ).

fof(f10460,plain,
    ( spl69_92
  <=> nil = cons(hd(sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_92])]) ).

fof(f22565,plain,
    ( nil = cons(hd(sK19),nil)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ ssList(nil)
    | spl69_153 ),
    inference(resolution,[],[f22541,f573]) ).

fof(f573,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f355,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f22541,plain,
    ( ~ neq(nil,cons(hd(sK19),nil))
    | spl69_153 ),
    inference(avatar_component_clause,[],[f22539]) ).

fof(f22539,plain,
    ( spl69_153
  <=> neq(nil,cons(hd(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_153])]) ).

fof(f22554,plain,
    ( ~ spl69_10
    | spl69_152 ),
    inference(avatar_contradiction_clause,[],[f22553]) ).

fof(f22553,plain,
    ( $false
    | ~ spl69_10
    | spl69_152 ),
    inference(subsumption_resolution,[],[f22543,f1441]) ).

fof(f1441,plain,
    ( ssItem(hd(sK19))
    | ~ spl69_10 ),
    inference(avatar_component_clause,[],[f1440]) ).

fof(f1440,plain,
    ( spl69_10
  <=> ssItem(hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_10])]) ).

fof(f22543,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_152 ),
    inference(resolution,[],[f22537,f404]) ).

fof(f404,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( ssItem(X0)
     => strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).

fof(f22537,plain,
    ( ~ strictorderedP(cons(hd(sK19),nil))
    | spl69_152 ),
    inference(avatar_component_clause,[],[f22535]) ).

fof(f22535,plain,
    ( spl69_152
  <=> strictorderedP(cons(hd(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_152])]) ).

fof(f22542,plain,
    ( ~ spl69_152
    | ~ spl69_153
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_24 ),
    inference(avatar_split_clause,[],[f22042,f2178,f1479,f1440,f1354,f840,f776,f22539,f22535]) ).

fof(f776,plain,
    ( spl69_3
  <=> nil = sK18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).

fof(f840,plain,
    ( spl69_5
  <=> nil = sK19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).

fof(f1354,plain,
    ( spl69_8
  <=> ssItem(sK23(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_8])]) ).

fof(f1479,plain,
    ( spl69_12
  <=> ssList(sK22(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_12])]) ).

fof(f22042,plain,
    ( ~ neq(nil,cons(hd(sK19),nil))
    | ~ strictorderedP(cons(hd(sK19),nil))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_24 ),
    inference(subsumption_resolution,[],[f22038,f2179]) ).

fof(f22038,plain,
    ( ~ neq(nil,cons(hd(sK19),nil))
    | ~ strictorderedP(cons(hd(sK19),nil))
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_24 ),
    inference(resolution,[],[f22028,f1076]) ).

fof(f1076,plain,
    ( ! [X0] :
        ( ~ frontsegP(sK19,X0)
        | ~ neq(nil,X0)
        | ~ strictorderedP(X0)
        | ~ ssList(X0) )
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f1075,f778]) ).

fof(f778,plain,
    ( nil = sK18
    | ~ spl69_3 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f1075,plain,
    ( ! [X0] :
        ( ~ frontsegP(sK19,X0)
        | ~ neq(sK18,X0)
        | ~ strictorderedP(X0)
        | ~ ssList(X0) )
    | ~ spl69_3 ),
    inference(subsumption_resolution,[],[f1069,f450]) ).

fof(f450,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

fof(f1069,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,nil)
        | ~ frontsegP(sK19,X0)
        | ~ neq(sK18,X0)
        | ~ strictorderedP(X0)
        | ~ ssList(X0) )
    | ~ spl69_3 ),
    inference(superposition,[],[f747,f778]) ).

fof(f747,plain,
    ! [X4] :
      ( ~ segmentP(X4,sK18)
      | ~ frontsegP(sK19,X4)
      | ~ neq(sK18,X4)
      | ~ strictorderedP(X4)
      | ~ ssList(X4) ),
    inference(forward_demodulation,[],[f746,f379]) ).

fof(f379,plain,
    sK18 = sK20,
    inference(cnf_transformation,[],[f254]) ).

fof(f254,plain,
    ( ~ neq(sK18,nil)
    & ! [X4] :
        ( ~ strictorderedP(X4)
        | ~ segmentP(X4,sK20)
        | ~ frontsegP(sK21,X4)
        | ~ neq(sK20,X4)
        | ~ ssList(X4) )
    & strictorderedP(sK20)
    & frontsegP(sK21,sK20)
    & neq(sK19,nil)
    & sK18 = sK20
    & sK19 = sK21
    & ssList(sK21)
    & ssList(sK20)
    & ssList(sK19)
    & ssList(sK18) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f99,f253,f252,f251,f250]) ).

fof(f250,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ~ neq(X0,nil)
                    & ! [X4] :
                        ( ~ strictorderedP(X4)
                        | ~ segmentP(X4,X2)
                        | ~ frontsegP(X3,X4)
                        | ~ neq(X2,X4)
                        | ~ ssList(X4) )
                    & strictorderedP(X2)
                    & frontsegP(X3,X2)
                    & neq(X1,nil)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ neq(sK18,nil)
                  & ! [X4] :
                      ( ~ strictorderedP(X4)
                      | ~ segmentP(X4,X2)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ ssList(X4) )
                  & strictorderedP(X2)
                  & frontsegP(X3,X2)
                  & neq(X1,nil)
                  & sK18 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f251,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ~ neq(sK18,nil)
                & ! [X4] :
                    ( ~ strictorderedP(X4)
                    | ~ segmentP(X4,X2)
                    | ~ frontsegP(X3,X4)
                    | ~ neq(X2,X4)
                    | ~ ssList(X4) )
                & strictorderedP(X2)
                & frontsegP(X3,X2)
                & neq(X1,nil)
                & sK18 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ~ neq(sK18,nil)
              & ! [X4] :
                  ( ~ strictorderedP(X4)
                  | ~ segmentP(X4,X2)
                  | ~ frontsegP(X3,X4)
                  | ~ neq(X2,X4)
                  | ~ ssList(X4) )
              & strictorderedP(X2)
              & frontsegP(X3,X2)
              & neq(sK19,nil)
              & sK18 = X2
              & sK19 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK19) ) ),
    introduced(choice_axiom,[]) ).

fof(f252,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ~ neq(sK18,nil)
            & ! [X4] :
                ( ~ strictorderedP(X4)
                | ~ segmentP(X4,X2)
                | ~ frontsegP(X3,X4)
                | ~ neq(X2,X4)
                | ~ ssList(X4) )
            & strictorderedP(X2)
            & frontsegP(X3,X2)
            & neq(sK19,nil)
            & sK18 = X2
            & sK19 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ~ neq(sK18,nil)
          & ! [X4] :
              ( ~ strictorderedP(X4)
              | ~ segmentP(X4,sK20)
              | ~ frontsegP(X3,X4)
              | ~ neq(sK20,X4)
              | ~ ssList(X4) )
          & strictorderedP(sK20)
          & frontsegP(X3,sK20)
          & neq(sK19,nil)
          & sK18 = sK20
          & sK19 = X3
          & ssList(X3) )
      & ssList(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f253,plain,
    ( ? [X3] :
        ( ~ neq(sK18,nil)
        & ! [X4] :
            ( ~ strictorderedP(X4)
            | ~ segmentP(X4,sK20)
            | ~ frontsegP(X3,X4)
            | ~ neq(sK20,X4)
            | ~ ssList(X4) )
        & strictorderedP(sK20)
        & frontsegP(X3,sK20)
        & neq(sK19,nil)
        & sK18 = sK20
        & sK19 = X3
        & ssList(X3) )
   => ( ~ neq(sK18,nil)
      & ! [X4] :
          ( ~ strictorderedP(X4)
          | ~ segmentP(X4,sK20)
          | ~ frontsegP(sK21,X4)
          | ~ neq(sK20,X4)
          | ~ ssList(X4) )
      & strictorderedP(sK20)
      & frontsegP(sK21,sK20)
      & neq(sK19,nil)
      & sK18 = sK20
      & sK19 = sK21
      & ssList(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ neq(X0,nil)
                  & ! [X4] :
                      ( ~ strictorderedP(X4)
                      | ~ segmentP(X4,X2)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ ssList(X4) )
                  & strictorderedP(X2)
                  & frontsegP(X3,X2)
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ neq(X0,nil)
                  & ! [X4] :
                      ( ~ strictorderedP(X4)
                      | ~ segmentP(X4,X2)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ ssList(X4) )
                  & strictorderedP(X2)
                  & frontsegP(X3,X2)
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( neq(X0,nil)
                      | ? [X4] :
                          ( strictorderedP(X4)
                          & segmentP(X4,X2)
                          & frontsegP(X3,X4)
                          & neq(X2,X4)
                          & ssList(X4) )
                      | ~ strictorderedP(X2)
                      | ~ frontsegP(X3,X2)
                      | ~ neq(X1,nil)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( neq(X0,nil)
                    | ? [X4] :
                        ( strictorderedP(X4)
                        & segmentP(X4,X2)
                        & frontsegP(X3,X4)
                        & neq(X2,X4)
                        & ssList(X4) )
                    | ~ strictorderedP(X2)
                    | ~ frontsegP(X3,X2)
                    | ~ neq(X1,nil)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f746,plain,
    ! [X4] :
      ( ~ frontsegP(sK19,X4)
      | ~ segmentP(X4,sK18)
      | ~ strictorderedP(X4)
      | ~ neq(sK20,X4)
      | ~ ssList(X4) ),
    inference(forward_demodulation,[],[f745,f378]) ).

fof(f378,plain,
    sK19 = sK21,
    inference(cnf_transformation,[],[f254]) ).

fof(f745,plain,
    ! [X4] :
      ( ~ segmentP(X4,sK18)
      | ~ strictorderedP(X4)
      | ~ frontsegP(sK21,X4)
      | ~ neq(sK20,X4)
      | ~ ssList(X4) ),
    inference(forward_demodulation,[],[f383,f379]) ).

fof(f383,plain,
    ! [X4] :
      ( ~ strictorderedP(X4)
      | ~ segmentP(X4,sK20)
      | ~ frontsegP(sK21,X4)
      | ~ neq(sK20,X4)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f22028,plain,
    ( frontsegP(sK19,cons(hd(sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_24 ),
    inference(subsumption_resolution,[],[f22027,f2179]) ).

fof(f22027,plain,
    ( frontsegP(sK19,cons(hd(sK19),nil))
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f22003,f1632]) ).

fof(f1632,plain,
    ( ssList(tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(superposition,[],[f1480,f1628]) ).

fof(f1628,plain,
    ( tl(sK19) = sK22(sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f1607,f1526]) ).

fof(f1526,plain,
    ( sK19 = cons(hd(sK19),sK22(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(superposition,[],[f1337,f1525]) ).

fof(f1525,plain,
    ( hd(sK19) = sK23(sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f1506,f1337]) ).

fof(f1506,plain,
    ( sK23(sK19) = hd(cons(sK23(sK19),sK22(sK19)))
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(resolution,[],[f1498,f1355]) ).

fof(f1355,plain,
    ( ssItem(sK23(sK19))
    | ~ spl69_8 ),
    inference(avatar_component_clause,[],[f1354]) ).

fof(f1498,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK22(sK19))) = X0 )
    | ~ spl69_12 ),
    inference(resolution,[],[f1480,f559]) ).

fof(f559,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | hd(cons(X1,X0)) = X1 ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(cons(X1,X0)) = X1
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => hd(cons(X1,X0)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f1337,plain,
    ( sK19 = cons(sK23(sK19),sK22(sK19))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1305,f841]) ).

fof(f841,plain,
    ( nil != sK19
    | spl69_5 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f1305,plain,
    ( nil = sK19
    | sK19 = cons(sK23(sK19),sK22(sK19)) ),
    inference(resolution,[],[f459,f375]) ).

fof(f375,plain,
    ssList(sK19),
    inference(cnf_transformation,[],[f254]) ).

fof(f459,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(sK23(X0),sK22(X0)) = X0 ),
    inference(cnf_transformation,[],[f276]) ).

fof(f276,plain,
    ! [X0] :
      ( ( cons(sK23(X0),sK22(X0)) = X0
        & ssItem(sK23(X0))
        & ssList(sK22(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f149,f275,f274]) ).

fof(f274,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
     => ( ? [X2] :
            ( cons(X2,sK22(X0)) = X0
            & ssItem(X2) )
        & ssList(sK22(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f275,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK22(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK23(X0),sK22(X0)) = X0
        & ssItem(sK23(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) )
            & ssList(X1) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f1607,plain,
    ( sK22(sK19) = tl(cons(hd(sK19),sK22(sK19)))
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(resolution,[],[f1497,f1441]) ).

fof(f1497,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | sK22(sK19) = tl(cons(X0,sK22(sK19))) )
    | ~ spl69_12 ),
    inference(resolution,[],[f1480,f558]) ).

fof(f558,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | tl(cons(X1,X0)) = X0 ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => tl(cons(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f1480,plain,
    ( ssList(sK22(sK19))
    | ~ spl69_12 ),
    inference(avatar_component_clause,[],[f1479]) ).

fof(f22003,plain,
    ( frontsegP(sK19,cons(hd(sK19),nil))
    | ~ ssList(tl(sK19))
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(superposition,[],[f2276,f21984]) ).

fof(f21984,plain,
    ( sK19 = app(cons(hd(sK19),nil),tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f21962,f1423]) ).

fof(f1423,plain,
    ( sK19 = cons(hd(sK19),tl(sK19))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1391,f841]) ).

fof(f1391,plain,
    ( nil = sK19
    | sK19 = cons(hd(sK19),tl(sK19)) ),
    inference(resolution,[],[f462,f375]) ).

fof(f462,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(f21962,plain,
    ( cons(hd(sK19),tl(sK19)) = app(cons(hd(sK19),nil),tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(resolution,[],[f1821,f1441]) ).

fof(f1821,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,tl(sK19)) = app(cons(X0,nil),tl(sK19)) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f1789,f1628]) ).

fof(f1789,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK22(sK19)) = app(cons(X0,nil),sK22(sK19)) )
    | ~ spl69_12 ),
    inference(resolution,[],[f560,f1480]) ).

fof(f560,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f2276,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f626,f565]) ).

fof(f565,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f626,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2)) ),
    inference(equality_resolution,[],[f583]) ).

fof(f583,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | app(X1,X2) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f368]) ).

fof(f368,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(X1,sK66(X0,X1)) = X0
                & ssList(sK66(X0,X1)) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f366,f367]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X1,X3) = X0
          & ssList(X3) )
     => ( app(X1,sK66(X0,X1)) = X0
        & ssList(sK66(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f366,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X1,X3) = X0
                  & ssList(X3) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f365]) ).

fof(f365,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f201]) ).

fof(f201,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f18974,plain,
    ( ~ spl69_78
    | spl69_150 ),
    inference(avatar_contradiction_clause,[],[f18973]) ).

fof(f18973,plain,
    ( $false
    | ~ spl69_78
    | spl69_150 ),
    inference(subsumption_resolution,[],[f18972,f8736]) ).

fof(f8736,plain,
    ( ssList(app(sK19,sK19))
    | ~ spl69_78 ),
    inference(avatar_component_clause,[],[f8735]) ).

fof(f8735,plain,
    ( spl69_78
  <=> ssList(app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_78])]) ).

fof(f18972,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_150 ),
    inference(subsumption_resolution,[],[f18971,f375]) ).

fof(f18971,plain,
    ( ~ ssList(sK19)
    | ~ ssList(app(sK19,sK19))
    | spl69_150 ),
    inference(resolution,[],[f18964,f565]) ).

fof(f18964,plain,
    ( ~ ssList(app(app(sK19,sK19),sK19))
    | spl69_150 ),
    inference(avatar_component_clause,[],[f18962]) ).

fof(f18962,plain,
    ( spl69_150
  <=> ssList(app(app(sK19,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_150])]) ).

fof(f18969,plain,
    ( ~ spl69_150
    | ~ spl69_151
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78
    | ~ spl69_79 ),
    inference(avatar_split_clause,[],[f18831,f8739,f8735,f8584,f1479,f1354,f840,f18966,f18962]) ).

fof(f18966,plain,
    ( spl69_151
  <=> duplicatefreeP(app(app(sK19,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_151])]) ).

fof(f8584,plain,
    ( spl69_76
  <=> nil = app(sK19,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_76])]) ).

fof(f8739,plain,
    ( spl69_79
  <=> ssList(app(tl(sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_79])]) ).

fof(f18831,plain,
    ( ~ duplicatefreeP(app(app(sK19,sK19),sK19))
    | ~ ssList(app(app(sK19,sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78
    | ~ spl69_79 ),
    inference(resolution,[],[f18828,f646]) ).

fof(f646,plain,
    ! [X0] :
      ( sP6(X0)
      | ~ duplicatefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f480,f490]) ).

fof(f490,plain,
    ! [X0] :
      ( sP7(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ! [X0] :
      ( sP7(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f164,f233,f232]) ).

fof(f232,plain,
    ! [X0] :
      ( sP6(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( X1 != X2
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f233,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> sP6(X0) )
      | ~ sP7(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f164,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( X1 != X2
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f163]) ).

fof(f163,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( X1 != X2
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => X1 != X2 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f480,plain,
    ! [X0] :
      ( ~ sP7(X0)
      | ~ duplicatefreeP(X0)
      | sP6(X0) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f293,plain,
    ! [X0] :
      ( ( ( duplicatefreeP(X0)
          | ~ sP6(X0) )
        & ( sP6(X0)
          | ~ duplicatefreeP(X0) ) )
      | ~ sP7(X0) ),
    inference(nnf_transformation,[],[f233]) ).

fof(f18828,plain,
    ( ~ sP6(app(app(sK19,sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f18827,f393]) ).

fof(f18827,plain,
    ( ~ sP6(app(app(sK19,sK19),sK19))
    | ~ ssList(nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78
    | ~ spl69_79 ),
    inference(superposition,[],[f18771,f8753]) ).

fof(f8753,plain,
    ( app(sK19,sK19) = app(nil,app(sK19,sK19))
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f456]) ).

fof(f456,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f18771,plain,
    ( ! [X0] :
        ( ~ sP6(app(app(X0,app(sK19,sK19)),sK19))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f18765,f8741]) ).

fof(f8741,plain,
    ( ssList(app(tl(sK19),sK19))
    | ~ spl69_79 ),
    inference(avatar_component_clause,[],[f8739]) ).

fof(f18765,plain,
    ( ! [X0] :
        ( ~ sP6(app(app(X0,app(sK19,sK19)),sK19))
        | ~ ssList(app(tl(sK19),sK19))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78 ),
    inference(superposition,[],[f6619,f8885]) ).

fof(f8885,plain,
    ( app(sK19,sK19) = cons(hd(sK19),app(tl(sK19),sK19))
    | spl69_5
    | spl69_76
    | ~ spl69_78 ),
    inference(global_subsumption,[],[f383,f381,f418,f634,f619,f620,f621,f624,f626,f629,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f883,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f877,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060,f1061,f801,f1062,f610,f1087,f561,f1101,f1102,f1103,f1104,f1105,f1106,f944,f945,f946,f947,f948,f949,f950,f951,f952,f562,f1109,f1110,f1111,f1112,f1113,f1114,f953,f954,f955,f956,f957,f574,f1119,f1120,f1121,f1122,f1123,f1124,f577,f1134,f1135,f1136,f1137,f1138,f1139,f1024,f1025,f578,f1149,f1150,f1151,f1152,f1153,f1154,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1037,f850,f1191,f1214,f841,f1213,f436,f1217,f1220,f1221,f444,f1236,f1237,f888,f1249,f1250,f1251,f1252,f964,f1269,f1270,f1271,f1272,f943,f1291,f1115,f1294,f1116,f1295,f1117,f1296,f459,f1336,f1301,f1303,f1341,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1337,f1342,f1343,f1348,f1349,f1352,f462,f1422,f1387,f1389,f1427,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1429,f1434,f1435,f1438,f584,f585,f406,f1584,f1580,f1588,f1590,f1592,f408,f1658,f409,f1721,f1730,f1727,f1118,f1731,f560,f1779,f1780,f1781,f1782,f1820,f1788,f1790,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1785,f1822,f1824,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1848,f1850,f1851,f1843,f1897,f1899,f1900,f569,f570,f571,f2136,f2225,f2276,f2312,f426,f447,f448,f566,f2525,f2532,f2533,f2534,f2572,f2540,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2560,f2561,f2562,f2563,f2564,f2565,f2566,f2567,f2568,f575,f2589,f2590,f2607,f2608,f2609,f582,f2632,f591,f2728,f2729,f2746,f592,f2856,f2857,f2866,f2873,f2633,f2947,f2948,f2949,f2950,f419,f2959,f420,f3022,f2768,f3039,f3041,f3037,f2896,f421,f3049,f3054,f3056,f422,f3138,f3140,f423,f3213,f3215,f477,f595,f3275,f3276,f3277,f596,f2588,f3372,f3379,f3381,f3387,f3389,f3390,f3391,f3392,f3393,f3394,f3395,f3396,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3414,f3415,f3416,f2591,f3437,f3444,f3446,f3486,f3452,f3454,f3455,f3456,f3457,f3458,f3459,f3460,f3461,f3462,f3463,f3464,f3465,f3466,f3467,f3468,f3469,f3470,f3471,f3472,f3473,f3474,f3475,f3476,f3477,f3479,f3480,f3481,f597,f3534,f3535,f3537,f3449,f3553,f3554,f3556,f3555,f567,f3612,f3619,f3620,f3621,f3662,f3627,f3629,f3630,f3631,f3632,f3633,f3634,f3635,f3636,f3637,f3638,f3639,f3640,f3641,f3642,f3643,f3644,f3645,f3646,f3647,f3648,f3649,f3650,f3651,f3652,f3655,f3656,f3657,f593,f3855,f3927,f3932,f3950,f594,f4238,f4273,f4296,f4319,f3850,f3873,f632,f4361,f4363,f4365,f424,f4192,f4215,f446,f587,f4552,f4559,f4560,f4561,f4564,f4606,f4567,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f4579,f4580,f4581,f4582,f4583,f4584,f4585,f4586,f4587,f4588,f4589,f4590,f4591,f4592,f4597,f4598,f4599,f590,f4622,f4629,f4630,f4631,f4634,f4676,f4637,f4639,f4640,f4641,f4642,f4643,f4644,f4645,f4646,f4647,f4648,f4649,f4650,f4651,f4652,f4653,f4654,f4655,f4656,f4657,f4658,f4659,f4660,f4661,f4662,f4667,f4668,f4669,f427,f428,f488,f2624,f5088,f5095,f5097,f5103,f5105,f5106,f5107,f5108,f5109,f5110,f5111,f5112,f5113,f5114,f5115,f5116,f5117,f5118,f5119,f5120,f5121,f5122,f5123,f5124,f5125,f5126,f5127,f5128,f5137,f5138,f5139,f2625,f5180,f5187,f5189,f5195,f5197,f5198,f5199,f5200,f5201,f5202,f5203,f5204,f5205,f5206,f5207,f5208,f5209,f5210,f5211,f5212,f5213,f5214,f5215,f5216,f5217,f5218,f5219,f5220,f5229,f5230,f5231,f499,f511,f523,f535,f5565,f1253,f546,f5611,f1254,f2537,f5676,f5623,f5625,f5699,f5631,f5633,f5634,f5635,f5636,f5637,f5638,f5639,f5640,f5641,f5642,f5643,f5644,f5645,f5646,f5647,f5648,f5649,f5650,f5651,f5652,f5653,f5654,f5655,f5656,f5665,f5666,f5667,f5692,f5743,f5744,f5745,f5746,f563,f5769,f5770,f5779,f5780,f579,f5912,f5913,f5909,f940,f5977,f5924,f5926,f5932,f5934,f5935,f5936,f5937,f5938,f5939,f5940,f5941,f5942,f5943,f5944,f5945,f5946,f5947,f5948,f5949,f5950,f5951,f5952,f5953,f5954,f5955,f5956,f5957,f5966,f5967,f5968,f941,f6102,f6049,f6051,f6057,f6059,f6060,f6061,f6062,f6063,f6064,f6065,f6066,f6067,f6068,f6069,f6070,f6071,f6072,f6073,f6074,f6075,f6076,f6077,f6078,f6079,f6080,f6081,f6082,f6091,f6092,f6093,f588,f589,f942,f6264,f6211,f6213,f6219,f6221,f6222,f6223,f6224,f6225,f6226,f6227,f6228,f6229,f6230,f6231,f6232,f6233,f6234,f6235,f6236,f6237,f6238,f6239,f6240,f6241,f6242,f6243,f6244,f6253,f6254,f6255,f1023,f6338,f598,f6402,f6401,f6400,f6431,f1428,f631,f6559,f6560,f6561,f6562,f6563,f6564,f6565,f6566,f6567,f6568,f6569,f6570,f6571,f611,f6841,f6842,f6843,f6844,f6845,f6846,f6849,f6850,f6851,f6852,f6855,f6856,f622,f7002,f625,f7204,f7203,f7202,f7309,f7385,f7386,f7387,f568,f617,f7703,f7704,f7705,f7706,f7707,f7708,f7709,f7710,f7711,f7712,f7713,f7714,f618,f7823,f7824,f7825,f7826,f7827,f7828,f7829,f7830,f7831,f7832,f7833,f7834,f6438,f7910,f7909,f7908,f6471,f7923,f7922,f7921,f614,f7962,f7963,f7964,f7965,f7966,f7967,f7968,f7969,f7970,f7971,f7972,f7973,f1155,f8033,f1156,f8041,f1157,f8049,f1164,f8064,f615,f8069,f8070,f8071,f8072,f8073,f8074,f8075,f8076,f8077,f8078,f8079,f8080,f616,f8186,f8187,f8188,f8189,f8190,f8191,f8192,f8193,f8194,f8195,f8196,f8197,f8202,f2767,f2895,f782,f794,f8585,f3624,f8652,f8599,f8601,f8678,f8607,f8609,f8610,f8611,f8612,f8613,f8614,f8615,f8616,f8617,f8618,f8619,f8620,f8621,f8622,f8623,f8624,f8625,f8626,f8627,f8628,f8629,f8630,f8631,f8632,f8641,f8642,f8643,f8671,f8730,f8732,f8733,f8728,f8748,f8750,f8736,f8752,f8753,f8754,f8758,f8759,f8760,f8761,f8762,f8763,f8764,f8770,f8771,f8772,f8773,f8793,f8878,f8789,f8880,f8767,f8881,f8766,f8882,f8784,f8883,f8782,f8884,f8780]) ).

fof(f8780,plain,
    ( app(sK19,sK19) = cons(hd(sK19),app(tl(sK19),sK19))
    | nil = app(sK19,sK19)
    | spl69_5
    | ~ spl69_78 ),
    inference(forward_demodulation,[],[f8779,f5692]) ).

fof(f8779,plain,
    ( app(sK19,sK19) = cons(hd(app(sK19,sK19)),app(tl(sK19),sK19))
    | nil = app(sK19,sK19)
    | spl69_5
    | ~ spl69_78 ),
    inference(forward_demodulation,[],[f8755,f8671]) ).

fof(f8755,plain,
    ( nil = app(sK19,sK19)
    | app(sK19,sK19) = cons(hd(app(sK19,sK19)),tl(app(sK19,sK19)))
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f462]) ).

fof(f8884,plain,
    ( hd(sK19) = sK24(app(sK19,sK19))
    | spl69_5
    | spl69_76
    | ~ spl69_78 ),
    inference(global_subsumption,[],[f383,f381,f418,f634,f619,f620,f621,f624,f626,f629,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f883,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f877,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060,f1061,f801,f1062,f610,f1087,f561,f1101,f1102,f1103,f1104,f1105,f1106,f944,f945,f946,f947,f948,f949,f950,f951,f952,f562,f1109,f1110,f1111,f1112,f1113,f1114,f953,f954,f955,f956,f957,f574,f1119,f1120,f1121,f1122,f1123,f1124,f577,f1134,f1135,f1136,f1137,f1138,f1139,f1024,f1025,f578,f1149,f1150,f1151,f1152,f1153,f1154,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1037,f850,f1191,f1214,f841,f1213,f436,f1217,f1220,f1221,f444,f1236,f1237,f888,f1249,f1250,f1251,f1252,f964,f1269,f1270,f1271,f1272,f943,f1291,f1115,f1294,f1116,f1295,f1117,f1296,f459,f1336,f1301,f1303,f1341,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1337,f1342,f1343,f1348,f1349,f1352,f462,f1422,f1387,f1389,f1427,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1429,f1434,f1435,f1438,f584,f585,f406,f1584,f1580,f1588,f1590,f1592,f408,f1658,f409,f1721,f1730,f1727,f1118,f1731,f560,f1779,f1780,f1781,f1782,f1820,f1788,f1790,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1785,f1822,f1824,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1848,f1850,f1851,f1843,f1897,f1899,f1900,f569,f570,f571,f2136,f2225,f2276,f2312,f426,f447,f448,f566,f2525,f2532,f2533,f2534,f2572,f2540,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2560,f2561,f2562,f2563,f2564,f2565,f2566,f2567,f2568,f575,f2589,f2590,f2607,f2608,f2609,f582,f2632,f591,f2728,f2729,f2746,f592,f2856,f2857,f2866,f2873,f2633,f2947,f2948,f2949,f2950,f419,f2959,f420,f3022,f2768,f3039,f3041,f3037,f2896,f421,f3049,f3054,f3056,f422,f3138,f3140,f423,f3213,f3215,f477,f595,f3275,f3276,f3277,f596,f2588,f3372,f3379,f3381,f3387,f3389,f3390,f3391,f3392,f3393,f3394,f3395,f3396,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3414,f3415,f3416,f2591,f3437,f3444,f3446,f3486,f3452,f3454,f3455,f3456,f3457,f3458,f3459,f3460,f3461,f3462,f3463,f3464,f3465,f3466,f3467,f3468,f3469,f3470,f3471,f3472,f3473,f3474,f3475,f3476,f3477,f3479,f3480,f3481,f597,f3534,f3535,f3537,f3449,f3553,f3554,f3556,f3555,f567,f3612,f3619,f3620,f3621,f3662,f3627,f3629,f3630,f3631,f3632,f3633,f3634,f3635,f3636,f3637,f3638,f3639,f3640,f3641,f3642,f3643,f3644,f3645,f3646,f3647,f3648,f3649,f3650,f3651,f3652,f3655,f3656,f3657,f593,f3855,f3927,f3932,f3950,f594,f4238,f4273,f4296,f4319,f3850,f3873,f632,f4361,f4363,f4365,f424,f4192,f4215,f446,f587,f4552,f4559,f4560,f4561,f4564,f4606,f4567,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f4579,f4580,f4581,f4582,f4583,f4584,f4585,f4586,f4587,f4588,f4589,f4590,f4591,f4592,f4597,f4598,f4599,f590,f4622,f4629,f4630,f4631,f4634,f4676,f4637,f4639,f4640,f4641,f4642,f4643,f4644,f4645,f4646,f4647,f4648,f4649,f4650,f4651,f4652,f4653,f4654,f4655,f4656,f4657,f4658,f4659,f4660,f4661,f4662,f4667,f4668,f4669,f427,f428,f488,f2624,f5088,f5095,f5097,f5103,f5105,f5106,f5107,f5108,f5109,f5110,f5111,f5112,f5113,f5114,f5115,f5116,f5117,f5118,f5119,f5120,f5121,f5122,f5123,f5124,f5125,f5126,f5127,f5128,f5137,f5138,f5139,f2625,f5180,f5187,f5189,f5195,f5197,f5198,f5199,f5200,f5201,f5202,f5203,f5204,f5205,f5206,f5207,f5208,f5209,f5210,f5211,f5212,f5213,f5214,f5215,f5216,f5217,f5218,f5219,f5220,f5229,f5230,f5231,f499,f511,f523,f535,f5565,f1253,f546,f5611,f1254,f2537,f5676,f5623,f5625,f5699,f5631,f5633,f5634,f5635,f5636,f5637,f5638,f5639,f5640,f5641,f5642,f5643,f5644,f5645,f5646,f5647,f5648,f5649,f5650,f5651,f5652,f5653,f5654,f5655,f5656,f5665,f5666,f5667,f5692,f5743,f5744,f5745,f5746,f563,f5769,f5770,f5779,f5780,f579,f5912,f5913,f5909,f940,f5977,f5924,f5926,f5932,f5934,f5935,f5936,f5937,f5938,f5939,f5940,f5941,f5942,f5943,f5944,f5945,f5946,f5947,f5948,f5949,f5950,f5951,f5952,f5953,f5954,f5955,f5956,f5957,f5966,f5967,f5968,f941,f6102,f6049,f6051,f6057,f6059,f6060,f6061,f6062,f6063,f6064,f6065,f6066,f6067,f6068,f6069,f6070,f6071,f6072,f6073,f6074,f6075,f6076,f6077,f6078,f6079,f6080,f6081,f6082,f6091,f6092,f6093,f588,f589,f942,f6264,f6211,f6213,f6219,f6221,f6222,f6223,f6224,f6225,f6226,f6227,f6228,f6229,f6230,f6231,f6232,f6233,f6234,f6235,f6236,f6237,f6238,f6239,f6240,f6241,f6242,f6243,f6244,f6253,f6254,f6255,f1023,f6338,f598,f6402,f6401,f6400,f6431,f1428,f631,f6559,f6560,f6561,f6562,f6563,f6564,f6565,f6566,f6567,f6568,f6569,f6570,f6571,f611,f6841,f6842,f6843,f6844,f6845,f6846,f6849,f6850,f6851,f6852,f6855,f6856,f622,f7002,f625,f7204,f7203,f7202,f7309,f7385,f7386,f7387,f568,f617,f7703,f7704,f7705,f7706,f7707,f7708,f7709,f7710,f7711,f7712,f7713,f7714,f618,f7823,f7824,f7825,f7826,f7827,f7828,f7829,f7830,f7831,f7832,f7833,f7834,f6438,f7910,f7909,f7908,f6471,f7923,f7922,f7921,f614,f7962,f7963,f7964,f7965,f7966,f7967,f7968,f7969,f7970,f7971,f7972,f7973,f1155,f8033,f1156,f8041,f1157,f8049,f1164,f8064,f615,f8069,f8070,f8071,f8072,f8073,f8074,f8075,f8076,f8077,f8078,f8079,f8080,f616,f8186,f8187,f8188,f8189,f8190,f8191,f8192,f8193,f8194,f8195,f8196,f8197,f8202,f2767,f2895,f782,f794,f8585,f3624,f8652,f8599,f8601,f8678,f8607,f8609,f8610,f8611,f8612,f8613,f8614,f8615,f8616,f8617,f8618,f8619,f8620,f8621,f8622,f8623,f8624,f8625,f8626,f8627,f8628,f8629,f8630,f8631,f8632,f8641,f8642,f8643,f8671,f8730,f8732,f8733,f8728,f8748,f8750,f8736,f8752,f8753,f8754,f8780,f8758,f8759,f8760,f8761,f8762,f8763,f8764,f8770,f8771,f8772,f8773,f8793,f8878,f8789,f8880,f8767,f8881,f8766,f8882,f8784,f8883,f8782]) ).

fof(f8782,plain,
    ( hd(sK19) = sK24(app(sK19,sK19))
    | nil = app(sK19,sK19)
    | spl69_5
    | ~ spl69_78 ),
    inference(forward_demodulation,[],[f8756,f5692]) ).

fof(f8756,plain,
    ( nil = app(sK19,sK19)
    | hd(app(sK19,sK19)) = sK24(app(sK19,sK19))
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f464]) ).

fof(f8883,plain,
    ( app(tl(sK19),sK19) = sK25(app(sK19,sK19))
    | spl69_5
    | spl69_76
    | ~ spl69_78 ),
    inference(global_subsumption,[],[f383,f381,f418,f634,f619,f620,f621,f624,f626,f629,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f883,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f877,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060,f1061,f801,f1062,f610,f1087,f561,f1101,f1102,f1103,f1104,f1105,f1106,f944,f945,f946,f947,f948,f949,f950,f951,f952,f562,f1109,f1110,f1111,f1112,f1113,f1114,f953,f954,f955,f956,f957,f574,f1119,f1120,f1121,f1122,f1123,f1124,f577,f1134,f1135,f1136,f1137,f1138,f1139,f1024,f1025,f578,f1149,f1150,f1151,f1152,f1153,f1154,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1037,f850,f1191,f1214,f841,f1213,f436,f1217,f1220,f1221,f444,f1236,f1237,f888,f1249,f1250,f1251,f1252,f964,f1269,f1270,f1271,f1272,f943,f1291,f1115,f1294,f1116,f1295,f1117,f1296,f459,f1336,f1301,f1303,f1341,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1337,f1342,f1343,f1348,f1349,f1352,f462,f1422,f1387,f1389,f1427,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1429,f1434,f1435,f1438,f584,f585,f406,f1584,f1580,f1588,f1590,f1592,f408,f1658,f409,f1721,f1730,f1727,f1118,f1731,f560,f1779,f1780,f1781,f1782,f1820,f1788,f1790,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1785,f1822,f1824,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1848,f1850,f1851,f1843,f1897,f1899,f1900,f569,f570,f571,f2136,f2225,f2276,f2312,f426,f447,f448,f566,f2525,f2532,f2533,f2534,f2572,f2540,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2560,f2561,f2562,f2563,f2564,f2565,f2566,f2567,f2568,f575,f2589,f2590,f2607,f2608,f2609,f582,f2632,f591,f2728,f2729,f2746,f592,f2856,f2857,f2866,f2873,f2633,f2947,f2948,f2949,f2950,f419,f2959,f420,f3022,f2768,f3039,f3041,f3037,f2896,f421,f3049,f3054,f3056,f422,f3138,f3140,f423,f3213,f3215,f477,f595,f3275,f3276,f3277,f596,f2588,f3372,f3379,f3381,f3387,f3389,f3390,f3391,f3392,f3393,f3394,f3395,f3396,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3414,f3415,f3416,f2591,f3437,f3444,f3446,f3486,f3452,f3454,f3455,f3456,f3457,f3458,f3459,f3460,f3461,f3462,f3463,f3464,f3465,f3466,f3467,f3468,f3469,f3470,f3471,f3472,f3473,f3474,f3475,f3476,f3477,f3479,f3480,f3481,f597,f3534,f3535,f3537,f3449,f3553,f3554,f3556,f3555,f567,f3612,f3619,f3620,f3621,f3662,f3627,f3629,f3630,f3631,f3632,f3633,f3634,f3635,f3636,f3637,f3638,f3639,f3640,f3641,f3642,f3643,f3644,f3645,f3646,f3647,f3648,f3649,f3650,f3651,f3652,f3655,f3656,f3657,f593,f3855,f3927,f3932,f3950,f594,f4238,f4273,f4296,f4319,f3850,f3873,f632,f4361,f4363,f4365,f424,f4192,f4215,f446,f587,f4552,f4559,f4560,f4561,f4564,f4606,f4567,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f4579,f4580,f4581,f4582,f4583,f4584,f4585,f4586,f4587,f4588,f4589,f4590,f4591,f4592,f4597,f4598,f4599,f590,f4622,f4629,f4630,f4631,f4634,f4676,f4637,f4639,f4640,f4641,f4642,f4643,f4644,f4645,f4646,f4647,f4648,f4649,f4650,f4651,f4652,f4653,f4654,f4655,f4656,f4657,f4658,f4659,f4660,f4661,f4662,f4667,f4668,f4669,f427,f428,f488,f2624,f5088,f5095,f5097,f5103,f5105,f5106,f5107,f5108,f5109,f5110,f5111,f5112,f5113,f5114,f5115,f5116,f5117,f5118,f5119,f5120,f5121,f5122,f5123,f5124,f5125,f5126,f5127,f5128,f5137,f5138,f5139,f2625,f5180,f5187,f5189,f5195,f5197,f5198,f5199,f5200,f5201,f5202,f5203,f5204,f5205,f5206,f5207,f5208,f5209,f5210,f5211,f5212,f5213,f5214,f5215,f5216,f5217,f5218,f5219,f5220,f5229,f5230,f5231,f499,f511,f523,f535,f5565,f1253,f546,f5611,f1254,f2537,f5676,f5623,f5625,f5699,f5631,f5633,f5634,f5635,f5636,f5637,f5638,f5639,f5640,f5641,f5642,f5643,f5644,f5645,f5646,f5647,f5648,f5649,f5650,f5651,f5652,f5653,f5654,f5655,f5656,f5665,f5666,f5667,f5692,f5743,f5744,f5745,f5746,f563,f5769,f5770,f5779,f5780,f579,f5912,f5913,f5909,f940,f5977,f5924,f5926,f5932,f5934,f5935,f5936,f5937,f5938,f5939,f5940,f5941,f5942,f5943,f5944,f5945,f5946,f5947,f5948,f5949,f5950,f5951,f5952,f5953,f5954,f5955,f5956,f5957,f5966,f5967,f5968,f941,f6102,f6049,f6051,f6057,f6059,f6060,f6061,f6062,f6063,f6064,f6065,f6066,f6067,f6068,f6069,f6070,f6071,f6072,f6073,f6074,f6075,f6076,f6077,f6078,f6079,f6080,f6081,f6082,f6091,f6092,f6093,f588,f589,f942,f6264,f6211,f6213,f6219,f6221,f6222,f6223,f6224,f6225,f6226,f6227,f6228,f6229,f6230,f6231,f6232,f6233,f6234,f6235,f6236,f6237,f6238,f6239,f6240,f6241,f6242,f6243,f6244,f6253,f6254,f6255,f1023,f6338,f598,f6402,f6401,f6400,f6431,f1428,f631,f6559,f6560,f6561,f6562,f6563,f6564,f6565,f6566,f6567,f6568,f6569,f6570,f6571,f611,f6841,f6842,f6843,f6844,f6845,f6846,f6849,f6850,f6851,f6852,f6855,f6856,f622,f7002,f625,f7204,f7203,f7202,f7309,f7385,f7386,f7387,f568,f617,f7703,f7704,f7705,f7706,f7707,f7708,f7709,f7710,f7711,f7712,f7713,f7714,f618,f7823,f7824,f7825,f7826,f7827,f7828,f7829,f7830,f7831,f7832,f7833,f7834,f6438,f7910,f7909,f7908,f6471,f7923,f7922,f7921,f614,f7962,f7963,f7964,f7965,f7966,f7967,f7968,f7969,f7970,f7971,f7972,f7973,f1155,f8033,f1156,f8041,f1157,f8049,f1164,f8064,f615,f8069,f8070,f8071,f8072,f8073,f8074,f8075,f8076,f8077,f8078,f8079,f8080,f616,f8186,f8187,f8188,f8189,f8190,f8191,f8192,f8193,f8194,f8195,f8196,f8197,f8202,f2767,f2895,f782,f794,f8585,f3624,f8652,f8599,f8601,f8678,f8607,f8609,f8610,f8611,f8612,f8613,f8614,f8615,f8616,f8617,f8618,f8619,f8620,f8621,f8622,f8623,f8624,f8625,f8626,f8627,f8628,f8629,f8630,f8631,f8632,f8641,f8642,f8643,f8671,f8730,f8732,f8733,f8728,f8748,f8750,f8736,f8752,f8753,f8754,f8780,f8782,f8758,f8759,f8760,f8761,f8762,f8763,f8764,f8770,f8771,f8772,f8773,f8793,f8878,f8789,f8880,f8767,f8881,f8766,f8882,f8784]) ).

fof(f8784,plain,
    ( app(tl(sK19),sK19) = sK25(app(sK19,sK19))
    | nil = app(sK19,sK19)
    | spl69_5
    | ~ spl69_78 ),
    inference(forward_demodulation,[],[f8757,f8671]) ).

fof(f8757,plain,
    ( nil = app(sK19,sK19)
    | tl(app(sK19,sK19)) = sK25(app(sK19,sK19))
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f466]) ).

fof(f8882,plain,
    ( sK19 = tl(cons(sK23(app(sK19,sK19)),sK19))
    | spl69_76
    | ~ spl69_78 ),
    inference(global_subsumption,[],[f383,f381,f418,f634,f619,f620,f621,f624,f626,f629,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060,f1061,f801,f1062,f610,f1087,f561,f1101,f1102,f1103,f1104,f1105,f1106,f944,f945,f946,f947,f948,f949,f950,f951,f952,f562,f1109,f1110,f1111,f1112,f1113,f1114,f953,f954,f955,f956,f957,f574,f1119,f1120,f1121,f1122,f1123,f1124,f577,f1134,f1135,f1136,f1137,f1138,f1139,f1024,f1025,f578,f1149,f1150,f1151,f1152,f1153,f1154,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1037,f850,f1191,f436,f1217,f1220,f1221,f444,f1236,f1237,f888,f1249,f1250,f1251,f1252,f964,f1269,f1270,f1271,f1272,f943,f1291,f1115,f1294,f1116,f1295,f1117,f1296,f459,f1336,f1301,f1303,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f462,f1422,f1387,f1389,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f584,f585,f406,f1584,f1580,f1588,f1590,f1592,f408,f1658,f409,f1721,f1730,f1727,f1118,f1731,f560,f1779,f1780,f1781,f1782,f1820,f1788,f1790,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1785,f1822,f1824,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1848,f1851,f1843,f1897,f1900,f569,f570,f571,f2136,f2225,f2276,f2312,f426,f447,f448,f566,f2525,f2532,f2533,f2534,f2572,f2540,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2560,f2561,f2562,f2563,f2564,f2565,f2566,f2567,f2568,f575,f2589,f2590,f2607,f2608,f2609,f582,f2632,f591,f2728,f2729,f2746,f592,f2856,f2857,f2866,f2873,f2633,f2947,f2948,f2949,f2950,f419,f2959,f420,f3022,f2768,f2896,f421,f3049,f3054,f3056,f422,f3138,f3140,f423,f3213,f3215,f477,f595,f3275,f3276,f3277,f596,f2588,f3372,f3379,f3381,f3387,f3389,f3390,f3391,f3392,f3393,f3394,f3395,f3396,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3414,f3415,f3416,f2591,f3437,f3444,f3446,f3486,f3452,f3454,f3455,f3456,f3457,f3458,f3459,f3460,f3461,f3462,f3463,f3464,f3465,f3466,f3467,f3468,f3469,f3470,f3471,f3472,f3473,f3474,f3475,f3476,f3477,f3479,f3480,f3481,f597,f3534,f3535,f3537,f3449,f3553,f3554,f3556,f3555,f567,f3612,f3619,f3620,f3621,f3662,f3627,f3629,f3630,f3631,f3632,f3633,f3634,f3635,f3636,f3637,f3638,f3639,f3640,f3641,f3642,f3643,f3644,f3645,f3646,f3647,f3648,f3649,f3650,f3651,f3652,f3655,f3656,f3657,f593,f3855,f3927,f3932,f3950,f594,f4238,f4273,f4296,f4319,f3850,f3873,f632,f4361,f4363,f4365,f424,f4192,f4215,f446,f587,f4552,f4559,f4560,f4561,f4564,f4606,f4567,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f4579,f4580,f4581,f4582,f4583,f4584,f4585,f4586,f4587,f4588,f4589,f4590,f4591,f4592,f4597,f4598,f4599,f590,f4622,f4629,f4630,f4631,f4634,f4676,f4637,f4639,f4640,f4641,f4642,f4643,f4644,f4645,f4646,f4647,f4648,f4649,f4650,f4651,f4652,f4653,f4654,f4655,f4656,f4657,f4658,f4659,f4660,f4661,f4662,f4667,f4668,f4669,f427,f428,f488,f2624,f5088,f5095,f5097,f5103,f5105,f5106,f5107,f5108,f5109,f5110,f5111,f5112,f5113,f5114,f5115,f5116,f5117,f5118,f5119,f5120,f5121,f5122,f5123,f5124,f5125,f5126,f5127,f5128,f5137,f5138,f5139,f2625,f5180,f5187,f5189,f5195,f5197,f5198,f5199,f5200,f5201,f5202,f5203,f5204,f5205,f5206,f5207,f5208,f5209,f5210,f5211,f5212,f5213,f5214,f5215,f5216,f5217,f5218,f5219,f5220,f5229,f5230,f5231,f499,f511,f523,f535,f5565,f1253,f546,f5611,f1254,f2537,f5676,f5623,f5625,f5631,f5633,f5634,f5635,f5636,f5637,f5638,f5639,f5640,f5641,f5642,f5643,f5644,f5645,f5646,f5647,f5648,f5649,f5650,f5651,f5652,f5653,f5654,f5655,f5656,f5665,f5666,f5667,f563,f5769,f5770,f5779,f5780,f579,f5912,f5913,f5909,f940,f5977,f5924,f5926,f5932,f5934,f5935,f5936,f5937,f5938,f5939,f5940,f5941,f5942,f5943,f5944,f5945,f5946,f5947,f5948,f5949,f5950,f5951,f5952,f5953,f5954,f5955,f5956,f5957,f5966,f5967,f5968,f941,f6102,f6049,f6051,f6057,f6059,f6060,f6061,f6062,f6063,f6064,f6065,f6066,f6067,f6068,f6069,f6070,f6071,f6072,f6073,f6074,f6075,f6076,f6077,f6078,f6079,f6080,f6081,f6082,f6091,f6092,f6093,f588,f589,f942,f6264,f6211,f6213,f6219,f6221,f6222,f6223,f6224,f6225,f6226,f6227,f6228,f6229,f6230,f6231,f6232,f6233,f6234,f6235,f6236,f6237,f6238,f6239,f6240,f6241,f6242,f6243,f6244,f6253,f6254,f6255,f1023,f6338,f598,f6402,f6401,f6400,f6431,f631,f6559,f6560,f6561,f6562,f6563,f6564,f6565,f6566,f6567,f6568,f6569,f6570,f6571,f611,f6841,f6842,f6843,f6844,f6845,f6846,f6849,f6850,f6851,f6852,f6855,f6856,f622,f7002,f625,f7204,f7203,f7202,f7309,f7385,f7386,f7387,f568,f617,f7703,f7704,f7705,f7706,f7707,f7708,f7709,f7710,f7711,f7712,f7713,f7714,f618,f7823,f7824,f7825,f7826,f7827,f7828,f7829,f7830,f7831,f7832,f7833,f7834,f6438,f7910,f7909,f7908,f6471,f7923,f7922,f7921,f614,f7962,f7963,f7964,f7965,f7966,f7967,f7968,f7969,f7970,f7971,f7972,f7973,f1155,f8033,f1156,f8041,f1157,f8049,f1164,f8064,f615,f8069,f8070,f8071,f8072,f8073,f8074,f8075,f8076,f8077,f8078,f8079,f8080,f616,f8186,f8187,f8188,f8189,f8190,f8191,f8192,f8193,f8194,f8195,f8196,f8197,f8202,f2767,f2895,f782,f794,f8585,f3624,f8652,f8599,f8601,f8607,f8609,f8610,f8611,f8612,f8613,f8614,f8615,f8616,f8617,f8618,f8619,f8620,f8621,f8622,f8623,f8624,f8625,f8626,f8627,f8628,f8629,f8630,f8631,f8632,f8641,f8642,f8643,f8736,f8752,f8753,f8754,f8758,f8759,f8760,f8761,f8762,f8763,f8764,f8770,f8771,f8772,f8773,f8767,f8881,f8766]) ).

fof(f8766,plain,
    ( nil = app(sK19,sK19)
    | sK19 = tl(cons(sK23(app(sK19,sK19)),sK19))
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f941]) ).

fof(f8881,plain,
    ( sK19 = tl(cons(sK24(app(sK19,sK19)),sK19))
    | spl69_76
    | ~ spl69_78 ),
    inference(global_subsumption,[],[f383,f381,f418,f634,f619,f620,f621,f624,f626,f629,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060,f1061,f801,f1062,f610,f1087,f561,f1101,f1102,f1103,f1104,f1105,f1106,f944,f945,f946,f947,f948,f949,f950,f951,f952,f562,f1109,f1110,f1111,f1112,f1113,f1114,f953,f954,f955,f956,f957,f574,f1119,f1120,f1121,f1122,f1123,f1124,f577,f1134,f1135,f1136,f1137,f1138,f1139,f1024,f1025,f578,f1149,f1150,f1151,f1152,f1153,f1154,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1037,f850,f1191,f436,f1217,f1220,f1221,f444,f1236,f1237,f888,f1249,f1250,f1251,f1252,f964,f1269,f1270,f1271,f1272,f943,f1291,f1115,f1294,f1116,f1295,f1117,f1296,f459,f1336,f1301,f1303,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f462,f1422,f1387,f1389,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f584,f585,f406,f1584,f1580,f1588,f1590,f1592,f408,f1658,f409,f1721,f1730,f1727,f1118,f1731,f560,f1779,f1780,f1781,f1782,f1820,f1788,f1790,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1785,f1822,f1824,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1848,f1851,f1843,f1897,f1900,f569,f570,f571,f2136,f2225,f2276,f2312,f426,f447,f448,f566,f2525,f2532,f2533,f2534,f2572,f2540,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2560,f2561,f2562,f2563,f2564,f2565,f2566,f2567,f2568,f575,f2589,f2590,f2607,f2608,f2609,f582,f2632,f591,f2728,f2729,f2746,f592,f2856,f2857,f2866,f2873,f2633,f2947,f2948,f2949,f2950,f419,f2959,f420,f3022,f2768,f2896,f421,f3049,f3054,f3056,f422,f3138,f3140,f423,f3213,f3215,f477,f595,f3275,f3276,f3277,f596,f2588,f3372,f3379,f3381,f3387,f3389,f3390,f3391,f3392,f3393,f3394,f3395,f3396,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3414,f3415,f3416,f2591,f3437,f3444,f3446,f3486,f3452,f3454,f3455,f3456,f3457,f3458,f3459,f3460,f3461,f3462,f3463,f3464,f3465,f3466,f3467,f3468,f3469,f3470,f3471,f3472,f3473,f3474,f3475,f3476,f3477,f3479,f3480,f3481,f597,f3534,f3535,f3537,f3449,f3553,f3554,f3556,f3555,f567,f3612,f3619,f3620,f3621,f3662,f3627,f3629,f3630,f3631,f3632,f3633,f3634,f3635,f3636,f3637,f3638,f3639,f3640,f3641,f3642,f3643,f3644,f3645,f3646,f3647,f3648,f3649,f3650,f3651,f3652,f3655,f3656,f3657,f593,f3855,f3927,f3932,f3950,f594,f4238,f4273,f4296,f4319,f3850,f3873,f632,f4361,f4363,f4365,f424,f4192,f4215,f446,f587,f4552,f4559,f4560,f4561,f4564,f4606,f4567,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f4579,f4580,f4581,f4582,f4583,f4584,f4585,f4586,f4587,f4588,f4589,f4590,f4591,f4592,f4597,f4598,f4599,f590,f4622,f4629,f4630,f4631,f4634,f4676,f4637,f4639,f4640,f4641,f4642,f4643,f4644,f4645,f4646,f4647,f4648,f4649,f4650,f4651,f4652,f4653,f4654,f4655,f4656,f4657,f4658,f4659,f4660,f4661,f4662,f4667,f4668,f4669,f427,f428,f488,f2624,f5088,f5095,f5097,f5103,f5105,f5106,f5107,f5108,f5109,f5110,f5111,f5112,f5113,f5114,f5115,f5116,f5117,f5118,f5119,f5120,f5121,f5122,f5123,f5124,f5125,f5126,f5127,f5128,f5137,f5138,f5139,f2625,f5180,f5187,f5189,f5195,f5197,f5198,f5199,f5200,f5201,f5202,f5203,f5204,f5205,f5206,f5207,f5208,f5209,f5210,f5211,f5212,f5213,f5214,f5215,f5216,f5217,f5218,f5219,f5220,f5229,f5230,f5231,f499,f511,f523,f535,f5565,f1253,f546,f5611,f1254,f2537,f5676,f5623,f5625,f5631,f5633,f5634,f5635,f5636,f5637,f5638,f5639,f5640,f5641,f5642,f5643,f5644,f5645,f5646,f5647,f5648,f5649,f5650,f5651,f5652,f5653,f5654,f5655,f5656,f5665,f5666,f5667,f563,f5769,f5770,f5779,f5780,f579,f5912,f5913,f5909,f940,f5977,f5924,f5926,f5932,f5934,f5935,f5936,f5937,f5938,f5939,f5940,f5941,f5942,f5943,f5944,f5945,f5946,f5947,f5948,f5949,f5950,f5951,f5952,f5953,f5954,f5955,f5956,f5957,f5966,f5967,f5968,f941,f6102,f6049,f6051,f6057,f6059,f6060,f6061,f6062,f6063,f6064,f6065,f6066,f6067,f6068,f6069,f6070,f6071,f6072,f6073,f6074,f6075,f6076,f6077,f6078,f6079,f6080,f6081,f6082,f6091,f6092,f6093,f588,f589,f942,f6264,f6211,f6213,f6219,f6221,f6222,f6223,f6224,f6225,f6226,f6227,f6228,f6229,f6230,f6231,f6232,f6233,f6234,f6235,f6236,f6237,f6238,f6239,f6240,f6241,f6242,f6243,f6244,f6253,f6254,f6255,f1023,f6338,f598,f6402,f6401,f6400,f6431,f631,f6559,f6560,f6561,f6562,f6563,f6564,f6565,f6566,f6567,f6568,f6569,f6570,f6571,f611,f6841,f6842,f6843,f6844,f6845,f6846,f6849,f6850,f6851,f6852,f6855,f6856,f622,f7002,f625,f7204,f7203,f7202,f7309,f7385,f7386,f7387,f568,f617,f7703,f7704,f7705,f7706,f7707,f7708,f7709,f7710,f7711,f7712,f7713,f7714,f618,f7823,f7824,f7825,f7826,f7827,f7828,f7829,f7830,f7831,f7832,f7833,f7834,f6438,f7910,f7909,f7908,f6471,f7923,f7922,f7921,f614,f7962,f7963,f7964,f7965,f7966,f7967,f7968,f7969,f7970,f7971,f7972,f7973,f1155,f8033,f1156,f8041,f1157,f8049,f1164,f8064,f615,f8069,f8070,f8071,f8072,f8073,f8074,f8075,f8076,f8077,f8078,f8079,f8080,f616,f8186,f8187,f8188,f8189,f8190,f8191,f8192,f8193,f8194,f8195,f8196,f8197,f8202,f2767,f2895,f782,f794,f8585,f3624,f8652,f8599,f8601,f8607,f8609,f8610,f8611,f8612,f8613,f8614,f8615,f8616,f8617,f8618,f8619,f8620,f8621,f8622,f8623,f8624,f8625,f8626,f8627,f8628,f8629,f8630,f8631,f8632,f8641,f8642,f8643,f8736,f8752,f8753,f8754,f8758,f8759,f8760,f8761,f8762,f8763,f8764,f8766,f8770,f8771,f8772,f8773,f8767]) ).

fof(f8767,plain,
    ( nil = app(sK19,sK19)
    | sK19 = tl(cons(sK24(app(sK19,sK19)),sK19))
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f942]) ).

fof(f8880,plain,
    ( hd(sK19) = hd(app(app(sK19,sK19),sK19))
    | spl69_5
    | spl69_76
    | ~ spl69_78 ),
    inference(global_subsumption,[],[f383,f381,f418,f634,f619,f620,f621,f624,f626,f629,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f883,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f877,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060,f1061,f801,f1062,f610,f1087,f561,f1101,f1102,f1103,f1104,f1105,f1106,f944,f945,f946,f947,f948,f949,f950,f951,f952,f562,f1109,f1110,f1111,f1112,f1113,f1114,f953,f954,f955,f956,f957,f574,f1119,f1120,f1121,f1122,f1123,f1124,f577,f1134,f1135,f1136,f1137,f1138,f1139,f1024,f1025,f578,f1149,f1150,f1151,f1152,f1153,f1154,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1037,f850,f1191,f1214,f841,f1213,f436,f1217,f1220,f1221,f444,f1236,f1237,f888,f1249,f1250,f1251,f1252,f964,f1269,f1270,f1271,f1272,f943,f1291,f1115,f1294,f1116,f1295,f1117,f1296,f459,f1336,f1301,f1303,f1341,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1337,f1342,f1343,f1348,f1349,f1352,f462,f1422,f1387,f1389,f1427,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1429,f1434,f1435,f1438,f584,f585,f406,f1584,f1580,f1588,f1590,f1592,f408,f1658,f409,f1721,f1730,f1727,f1118,f1731,f560,f1779,f1780,f1781,f1782,f1820,f1788,f1790,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1785,f1822,f1824,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1848,f1850,f1851,f1843,f1897,f1899,f1900,f569,f570,f571,f2136,f2225,f2276,f2312,f426,f447,f448,f566,f2525,f2532,f2533,f2534,f2572,f2540,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2560,f2561,f2562,f2563,f2564,f2565,f2566,f2567,f2568,f575,f2589,f2590,f2607,f2608,f2609,f582,f2632,f591,f2728,f2729,f2746,f592,f2856,f2857,f2866,f2873,f2633,f2947,f2948,f2949,f2950,f419,f2959,f420,f3022,f2768,f3039,f3041,f3037,f2896,f421,f3049,f3054,f3056,f422,f3138,f3140,f423,f3213,f3215,f477,f595,f3275,f3276,f3277,f596,f2588,f3372,f3379,f3381,f3387,f3389,f3390,f3391,f3392,f3393,f3394,f3395,f3396,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3414,f3415,f3416,f2591,f3437,f3444,f3446,f3486,f3452,f3454,f3455,f3456,f3457,f3458,f3459,f3460,f3461,f3462,f3463,f3464,f3465,f3466,f3467,f3468,f3469,f3470,f3471,f3472,f3473,f3474,f3475,f3476,f3477,f3479,f3480,f3481,f597,f3534,f3535,f3537,f3449,f3553,f3554,f3556,f3555,f567,f3612,f3619,f3620,f3621,f3662,f3627,f3629,f3630,f3631,f3632,f3633,f3634,f3635,f3636,f3637,f3638,f3639,f3640,f3641,f3642,f3643,f3644,f3645,f3646,f3647,f3648,f3649,f3650,f3651,f3652,f3655,f3656,f3657,f593,f3855,f3927,f3932,f3950,f594,f4238,f4273,f4296,f4319,f3850,f3873,f632,f4361,f4363,f4365,f424,f4192,f4215,f446,f587,f4552,f4559,f4560,f4561,f4564,f4606,f4567,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f4579,f4580,f4581,f4582,f4583,f4584,f4585,f4586,f4587,f4588,f4589,f4590,f4591,f4592,f4597,f4598,f4599,f590,f4622,f4629,f4630,f4631,f4634,f4676,f4637,f4639,f4640,f4641,f4642,f4643,f4644,f4645,f4646,f4647,f4648,f4649,f4650,f4651,f4652,f4653,f4654,f4655,f4656,f4657,f4658,f4659,f4660,f4661,f4662,f4667,f4668,f4669,f427,f428,f488,f2624,f5088,f5095,f5097,f5103,f5105,f5106,f5107,f5108,f5109,f5110,f5111,f5112,f5113,f5114,f5115,f5116,f5117,f5118,f5119,f5120,f5121,f5122,f5123,f5124,f5125,f5126,f5127,f5128,f5137,f5138,f5139,f2625,f5180,f5187,f5189,f5195,f5197,f5198,f5199,f5200,f5201,f5202,f5203,f5204,f5205,f5206,f5207,f5208,f5209,f5210,f5211,f5212,f5213,f5214,f5215,f5216,f5217,f5218,f5219,f5220,f5229,f5230,f5231,f499,f511,f523,f535,f5565,f1253,f546,f5611,f1254,f2537,f5676,f5623,f5625,f5699,f5631,f5633,f5634,f5635,f5636,f5637,f5638,f5639,f5640,f5641,f5642,f5643,f5644,f5645,f5646,f5647,f5648,f5649,f5650,f5651,f5652,f5653,f5654,f5655,f5656,f5665,f5666,f5667,f5692,f5743,f5744,f5745,f5746,f563,f5769,f5770,f5779,f5780,f579,f5912,f5913,f5909,f940,f5977,f5924,f5926,f5932,f5934,f5935,f5936,f5937,f5938,f5939,f5940,f5941,f5942,f5943,f5944,f5945,f5946,f5947,f5948,f5949,f5950,f5951,f5952,f5953,f5954,f5955,f5956,f5957,f5966,f5967,f5968,f941,f6102,f6049,f6051,f6057,f6059,f6060,f6061,f6062,f6063,f6064,f6065,f6066,f6067,f6068,f6069,f6070,f6071,f6072,f6073,f6074,f6075,f6076,f6077,f6078,f6079,f6080,f6081,f6082,f6091,f6092,f6093,f588,f589,f942,f6264,f6211,f6213,f6219,f6221,f6222,f6223,f6224,f6225,f6226,f6227,f6228,f6229,f6230,f6231,f6232,f6233,f6234,f6235,f6236,f6237,f6238,f6239,f6240,f6241,f6242,f6243,f6244,f6253,f6254,f6255,f1023,f6338,f598,f6402,f6401,f6400,f6431,f1428,f631,f6559,f6560,f6561,f6562,f6563,f6564,f6565,f6566,f6567,f6568,f6569,f6570,f6571,f611,f6841,f6842,f6843,f6844,f6845,f6846,f6849,f6850,f6851,f6852,f6855,f6856,f622,f7002,f625,f7204,f7203,f7202,f7309,f7385,f7386,f7387,f568,f617,f7703,f7704,f7705,f7706,f7707,f7708,f7709,f7710,f7711,f7712,f7713,f7714,f618,f7823,f7824,f7825,f7826,f7827,f7828,f7829,f7830,f7831,f7832,f7833,f7834,f6438,f7910,f7909,f7908,f6471,f7923,f7922,f7921,f614,f7962,f7963,f7964,f7965,f7966,f7967,f7968,f7969,f7970,f7971,f7972,f7973,f1155,f8033,f1156,f8041,f1157,f8049,f1164,f8064,f615,f8069,f8070,f8071,f8072,f8073,f8074,f8075,f8076,f8077,f8078,f8079,f8080,f616,f8186,f8187,f8188,f8189,f8190,f8191,f8192,f8193,f8194,f8195,f8196,f8197,f8202,f2767,f2895,f782,f794,f8585,f3624,f8652,f8599,f8601,f8678,f8607,f8609,f8610,f8611,f8612,f8613,f8614,f8615,f8616,f8617,f8618,f8619,f8620,f8621,f8622,f8623,f8624,f8625,f8626,f8627,f8628,f8629,f8630,f8631,f8632,f8641,f8642,f8643,f8671,f8730,f8732,f8733,f8728,f8748,f8750,f8736,f8752,f8753,f8754,f8780,f8782,f8784,f8758,f8759,f8760,f8761,f8762,f8763,f8764,f8766,f8767,f8770,f8771,f8772,f8773,f8793,f8878,f8789]) ).

fof(f8789,plain,
    ( hd(sK19) = hd(app(app(sK19,sK19),sK19))
    | nil = app(sK19,sK19)
    | spl69_5
    | ~ spl69_78 ),
    inference(forward_demodulation,[],[f8768,f5692]) ).

fof(f8768,plain,
    ( hd(app(sK19,sK19)) = hd(app(app(sK19,sK19),sK19))
    | nil = app(sK19,sK19)
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f2537]) ).

fof(f8878,plain,
    ( tl(app(app(sK19,sK19),sK19)) = app(app(tl(sK19),sK19),sK19)
    | spl69_5
    | spl69_76
    | ~ spl69_78 ),
    inference(global_subsumption,[],[f383,f381,f418,f634,f619,f620,f621,f624,f626,f629,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f883,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f877,f558,f886,f887,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f958,f959,f559,f962,f963,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060,f1061,f801,f1062,f610,f1087,f561,f1101,f1102,f1103,f1104,f1105,f1106,f944,f945,f946,f947,f948,f949,f950,f951,f952,f562,f1109,f1110,f1111,f1112,f1113,f1114,f953,f954,f955,f956,f957,f574,f1119,f1120,f1121,f1122,f1123,f1124,f577,f1134,f1135,f1136,f1137,f1138,f1139,f1024,f1025,f578,f1149,f1150,f1151,f1152,f1153,f1154,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1037,f850,f1191,f1214,f841,f1213,f436,f1217,f1220,f1221,f444,f1236,f1237,f888,f1249,f1250,f1251,f1252,f964,f1269,f1270,f1271,f1272,f943,f1291,f1115,f1294,f1116,f1295,f1117,f1296,f459,f1336,f1301,f1303,f1341,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1337,f1342,f1343,f1348,f1349,f1352,f462,f1422,f1387,f1389,f1427,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1423,f1429,f1434,f1435,f1438,f584,f585,f406,f1584,f1580,f1588,f1590,f1592,f408,f1658,f409,f1721,f1730,f1727,f1118,f1731,f560,f1779,f1780,f1781,f1782,f1820,f1788,f1790,f1791,f1792,f1793,f1794,f1795,f1796,f1797,f1798,f1799,f1800,f1801,f1802,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1785,f1822,f1824,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1848,f1850,f1851,f1843,f1897,f1899,f1900,f569,f570,f571,f2136,f2225,f2276,f2312,f426,f447,f448,f566,f2525,f2532,f2533,f2534,f2572,f2540,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2560,f2561,f2562,f2563,f2564,f2565,f2566,f2567,f2568,f575,f2589,f2590,f2607,f2608,f2609,f582,f2632,f591,f2728,f2729,f2746,f592,f2856,f2857,f2866,f2873,f2633,f2947,f2948,f2949,f2950,f419,f2959,f420,f3022,f2768,f3039,f3041,f3037,f2896,f421,f3049,f3054,f3056,f422,f3138,f3140,f423,f3213,f3215,f477,f595,f3275,f3276,f3277,f596,f2588,f3372,f3379,f3381,f3387,f3389,f3390,f3391,f3392,f3393,f3394,f3395,f3396,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3414,f3415,f3416,f2591,f3437,f3444,f3446,f3486,f3452,f3454,f3455,f3456,f3457,f3458,f3459,f3460,f3461,f3462,f3463,f3464,f3465,f3466,f3467,f3468,f3469,f3470,f3471,f3472,f3473,f3474,f3475,f3476,f3477,f3479,f3480,f3481,f597,f3534,f3535,f3537,f3449,f3553,f3554,f3556,f3555,f567,f3612,f3619,f3620,f3621,f3662,f3627,f3629,f3630,f3631,f3632,f3633,f3634,f3635,f3636,f3637,f3638,f3639,f3640,f3641,f3642,f3643,f3644,f3645,f3646,f3647,f3648,f3649,f3650,f3651,f3652,f3655,f3656,f3657,f593,f3855,f3927,f3932,f3950,f594,f4238,f4273,f4296,f4319,f3850,f3873,f632,f4361,f4363,f4365,f424,f4192,f4215,f446,f587,f4552,f4559,f4560,f4561,f4564,f4606,f4567,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f4579,f4580,f4581,f4582,f4583,f4584,f4585,f4586,f4587,f4588,f4589,f4590,f4591,f4592,f4597,f4598,f4599,f590,f4622,f4629,f4630,f4631,f4634,f4676,f4637,f4639,f4640,f4641,f4642,f4643,f4644,f4645,f4646,f4647,f4648,f4649,f4650,f4651,f4652,f4653,f4654,f4655,f4656,f4657,f4658,f4659,f4660,f4661,f4662,f4667,f4668,f4669,f427,f428,f488,f2624,f5088,f5095,f5097,f5103,f5105,f5106,f5107,f5108,f5109,f5110,f5111,f5112,f5113,f5114,f5115,f5116,f5117,f5118,f5119,f5120,f5121,f5122,f5123,f5124,f5125,f5126,f5127,f5128,f5137,f5138,f5139,f2625,f5180,f5187,f5189,f5195,f5197,f5198,f5199,f5200,f5201,f5202,f5203,f5204,f5205,f5206,f5207,f5208,f5209,f5210,f5211,f5212,f5213,f5214,f5215,f5216,f5217,f5218,f5219,f5220,f5229,f5230,f5231,f499,f511,f523,f535,f5565,f1253,f546,f5611,f1254,f2537,f5676,f5623,f5625,f5699,f5631,f5633,f5634,f5635,f5636,f5637,f5638,f5639,f5640,f5641,f5642,f5643,f5644,f5645,f5646,f5647,f5648,f5649,f5650,f5651,f5652,f5653,f5654,f5655,f5656,f5665,f5666,f5667,f5692,f5743,f5744,f5745,f5746,f563,f5769,f5770,f5779,f5780,f579,f5912,f5913,f5909,f940,f5977,f5924,f5926,f5932,f5934,f5935,f5936,f5937,f5938,f5939,f5940,f5941,f5942,f5943,f5944,f5945,f5946,f5947,f5948,f5949,f5950,f5951,f5952,f5953,f5954,f5955,f5956,f5957,f5966,f5967,f5968,f941,f6102,f6049,f6051,f6057,f6059,f6060,f6061,f6062,f6063,f6064,f6065,f6066,f6067,f6068,f6069,f6070,f6071,f6072,f6073,f6074,f6075,f6076,f6077,f6078,f6079,f6080,f6081,f6082,f6091,f6092,f6093,f588,f589,f942,f6264,f6211,f6213,f6219,f6221,f6222,f6223,f6224,f6225,f6226,f6227,f6228,f6229,f6230,f6231,f6232,f6233,f6234,f6235,f6236,f6237,f6238,f6239,f6240,f6241,f6242,f6243,f6244,f6253,f6254,f6255,f1023,f6338,f598,f6402,f6401,f6400,f6431,f1428,f631,f6559,f6560,f6561,f6562,f6563,f6564,f6565,f6566,f6567,f6568,f6569,f6570,f6571,f611,f6841,f6842,f6843,f6844,f6845,f6846,f6849,f6850,f6851,f6852,f6855,f6856,f622,f7002,f625,f7204,f7203,f7202,f7309,f7385,f7386,f7387,f568,f617,f7703,f7704,f7705,f7706,f7707,f7708,f7709,f7710,f7711,f7712,f7713,f7714,f618,f7823,f7824,f7825,f7826,f7827,f7828,f7829,f7830,f7831,f7832,f7833,f7834,f6438,f7910,f7909,f7908,f6471,f7923,f7922,f7921,f614,f7962,f7963,f7964,f7965,f7966,f7967,f7968,f7969,f7970,f7971,f7972,f7973,f1155,f8033,f1156,f8041,f1157,f8049,f1164,f8064,f615,f8069,f8070,f8071,f8072,f8073,f8074,f8075,f8076,f8077,f8078,f8079,f8080,f616,f8186,f8187,f8188,f8189,f8190,f8191,f8192,f8193,f8194,f8195,f8196,f8197,f8202,f2767,f2895,f782,f794,f8585,f3624,f8652,f8599,f8601,f8678,f8607,f8609,f8610,f8611,f8612,f8613,f8614,f8615,f8616,f8617,f8618,f8619,f8620,f8621,f8622,f8623,f8624,f8625,f8626,f8627,f8628,f8629,f8630,f8631,f8632,f8641,f8642,f8643,f8671,f8730,f8732,f8733,f8728,f8748,f8750,f8736,f8752,f8753,f8754,f8780,f8782,f8784,f8758,f8759,f8760,f8761,f8762,f8763,f8764,f8766,f8767,f8789,f8770,f8771,f8772,f8773,f8793]) ).

fof(f8793,plain,
    ( tl(app(app(sK19,sK19),sK19)) = app(app(tl(sK19),sK19),sK19)
    | nil = app(sK19,sK19)
    | spl69_5
    | ~ spl69_78 ),
    inference(forward_demodulation,[],[f8774,f8671]) ).

fof(f8774,plain,
    ( tl(app(app(sK19,sK19),sK19)) = app(tl(app(sK19,sK19)),sK19)
    | nil = app(sK19,sK19)
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f3624]) ).

fof(f8773,plain,
    ( app(sK19,sK19) = app(nil,sK66(app(sK19,sK19),nil))
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f2625]) ).

fof(f8772,plain,
    ( app(sK19,sK19) = app(app(sK19,sK19),sK66(app(sK19,sK19),app(sK19,sK19)))
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f2624]) ).

fof(f8771,plain,
    ( app(sK19,sK19) = app(sK63(app(sK19,sK19),nil),nil)
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f2591]) ).

fof(f8770,plain,
    ( app(sK19,sK19) = app(sK63(app(sK19,sK19),app(sK19,sK19)),app(sK19,sK19))
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f2588]) ).

fof(f8764,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),app(sK19,sK19)) = app(X0,app(X1,app(sK19,sK19)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f590]) ).

fof(f8763,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(app(sK19,sK19),X1)) = app(cons(X0,app(sK19,sK19)),X1)
        | ~ ssList(X1) )
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f587]) ).

fof(f8762,plain,
    ( ! [X0] :
        ( nil = X0
        | tl(app(X0,app(sK19,sK19))) = app(tl(X0),app(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f567]) ).

fof(f8761,plain,
    ( ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,app(sK19,sK19)))
        | ~ ssList(X0) )
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f566]) ).

fof(f8760,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK19,sK19)) = app(cons(X0,nil),app(sK19,sK19)) )
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f560]) ).

fof(f8759,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,app(sK19,sK19))) = X0 )
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f559]) ).

fof(f8758,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | app(sK19,sK19) = tl(cons(X0,app(sK19,sK19))) )
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f558]) ).

fof(f8754,plain,
    ( nil = app(sK19,sK19)
    | app(sK19,sK19) = cons(sK23(app(sK19,sK19)),sK22(app(sK19,sK19)))
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f459]) ).

fof(f8752,plain,
    ( app(sK19,sK19) = app(app(sK19,sK19),nil)
    | ~ spl69_78 ),
    inference(resolution,[],[f8736,f455]) ).

fof(f8750,plain,
    ( ! [X0] :
        ( hd(X0) != hd(sK19)
        | tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | nil = X0
        | nil = app(sK19,sK19)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | spl69_5 ),
    inference(forward_demodulation,[],[f8726,f5692]) ).

fof(f8726,plain,
    ( ! [X0] :
        ( tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | hd(X0) != hd(app(sK19,sK19))
        | nil = X0
        | nil = app(sK19,sK19)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | spl69_5 ),
    inference(superposition,[],[f568,f8671]) ).

fof(f8748,plain,
    ( ! [X0] :
        ( hd(X0) != hd(sK19)
        | tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | nil = app(sK19,sK19)
        | nil = X0
        | ~ ssList(X0)
        | ~ ssList(app(sK19,sK19)) )
    | spl69_5 ),
    inference(forward_demodulation,[],[f8727,f5692]) ).

fof(f8727,plain,
    ( ! [X0] :
        ( tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | hd(X0) != hd(app(sK19,sK19))
        | nil = app(sK19,sK19)
        | nil = X0
        | ~ ssList(X0)
        | ~ ssList(app(sK19,sK19)) )
    | spl69_5 ),
    inference(superposition,[],[f568,f8671]) ).

fof(f8728,plain,
    ( ssList(app(tl(sK19),sK19))
    | nil = app(sK19,sK19)
    | ~ ssList(app(sK19,sK19))
    | spl69_5 ),
    inference(superposition,[],[f461,f8671]) ).

fof(f8733,plain,
    ( ssList(app(tl(sK19),sK19))
    | ~ ssList(app(sK19,sK19))
    | spl69_5
    | spl69_76 ),
    inference(subsumption_resolution,[],[f8728,f8585]) ).

fof(f8732,plain,
    ( ! [X0] :
        ( hd(X0) != hd(sK19)
        | tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | nil = X0
        | ~ ssList(X0)
        | ~ ssList(app(sK19,sK19)) )
    | spl69_5
    | spl69_76 ),
    inference(forward_demodulation,[],[f8731,f5692]) ).

fof(f8731,plain,
    ( ! [X0] :
        ( tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | hd(X0) != hd(app(sK19,sK19))
        | nil = X0
        | ~ ssList(X0)
        | ~ ssList(app(sK19,sK19)) )
    | spl69_5
    | spl69_76 ),
    inference(subsumption_resolution,[],[f8727,f8585]) ).

fof(f8730,plain,
    ( ! [X0] :
        ( hd(X0) != hd(sK19)
        | tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | nil = X0
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | spl69_5
    | spl69_76 ),
    inference(forward_demodulation,[],[f8729,f5692]) ).

fof(f8729,plain,
    ( ! [X0] :
        ( tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | hd(X0) != hd(app(sK19,sK19))
        | nil = X0
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | spl69_5
    | spl69_76 ),
    inference(subsumption_resolution,[],[f8726,f8585]) ).

fof(f8671,plain,
    ( app(tl(sK19),sK19) = tl(app(sK19,sK19))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f8604,f841]) ).

fof(f8604,plain,
    ( app(tl(sK19),sK19) = tl(app(sK19,sK19))
    | nil = sK19 ),
    inference(resolution,[],[f3624,f375]) ).

fof(f8643,plain,
    ! [X0,X1] :
      ( tl(app(sK66(X0,X1),sK19)) = app(tl(sK66(X0,X1)),sK19)
      | nil = sK66(X0,X1)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3624,f581]) ).

fof(f8642,plain,
    ! [X0,X1] :
      ( tl(app(sK65(X0,X1),sK19)) = app(tl(sK65(X0,X1)),sK19)
      | nil = sK65(X0,X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3624,f578]) ).

fof(f8641,plain,
    ! [X0,X1] :
      ( tl(app(sK64(X0,X1),sK19)) = app(tl(sK64(X0,X1)),sK19)
      | nil = sK64(X0,X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3624,f577]) ).

fof(f8632,plain,
    ! [X0,X1] :
      ( tl(app(sK63(X0,X1),sK19)) = app(tl(sK63(X0,X1)),sK19)
      | nil = sK63(X0,X1)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3624,f574]) ).

fof(f8631,plain,
    ! [X0,X1] :
      ( tl(app(sK62(X0,X1),sK19)) = app(tl(sK62(X0,X1)),sK19)
      | nil = sK62(X0,X1)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3624,f562]) ).

fof(f8630,plain,
    ! [X0,X1] :
      ( tl(app(sK61(X0,X1),sK19)) = app(tl(sK61(X0,X1)),sK19)
      | nil = sK61(X0,X1)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3624,f561]) ).

fof(f8629,plain,
    ! [X0] :
      ( tl(app(sK60(X0),sK19)) = app(tl(sK60(X0)),sK19)
      | nil = sK60(X0)
      | sP16(X0) ),
    inference(resolution,[],[f3624,f545]) ).

fof(f8628,plain,
    ! [X0] :
      ( tl(app(sK59(X0),sK19)) = app(tl(sK59(X0)),sK19)
      | nil = sK59(X0)
      | sP16(X0) ),
    inference(resolution,[],[f3624,f544]) ).

fof(f8627,plain,
    ! [X0] :
      ( tl(app(sK58(X0),sK19)) = app(tl(sK58(X0)),sK19)
      | nil = sK58(X0)
      | sP16(X0) ),
    inference(resolution,[],[f3624,f543]) ).

fof(f8626,plain,
    ! [X0] :
      ( tl(app(sK55(X0),sK19)) = app(tl(sK55(X0)),sK19)
      | nil = sK55(X0)
      | sP14(X0) ),
    inference(resolution,[],[f3624,f534]) ).

fof(f8625,plain,
    ! [X0] :
      ( tl(app(sK54(X0),sK19)) = app(tl(sK54(X0)),sK19)
      | nil = sK54(X0)
      | sP14(X0) ),
    inference(resolution,[],[f3624,f533]) ).

fof(f8624,plain,
    ! [X0] :
      ( tl(app(sK53(X0),sK19)) = app(tl(sK53(X0)),sK19)
      | nil = sK53(X0)
      | sP14(X0) ),
    inference(resolution,[],[f3624,f532]) ).

fof(f8623,plain,
    ! [X0] :
      ( tl(app(sK50(X0),sK19)) = app(tl(sK50(X0)),sK19)
      | nil = sK50(X0)
      | sP12(X0) ),
    inference(resolution,[],[f3624,f522]) ).

fof(f8622,plain,
    ! [X0] :
      ( tl(app(sK49(X0),sK19)) = app(tl(sK49(X0)),sK19)
      | nil = sK49(X0)
      | sP12(X0) ),
    inference(resolution,[],[f3624,f521]) ).

fof(f8621,plain,
    ! [X0] :
      ( tl(app(sK48(X0),sK19)) = app(tl(sK48(X0)),sK19)
      | nil = sK48(X0)
      | sP12(X0) ),
    inference(resolution,[],[f3624,f520]) ).

fof(f8620,plain,
    ! [X0] :
      ( tl(app(sK45(X0),sK19)) = app(tl(sK45(X0)),sK19)
      | nil = sK45(X0)
      | sP10(X0) ),
    inference(resolution,[],[f3624,f510]) ).

fof(f8619,plain,
    ! [X0] :
      ( tl(app(sK44(X0),sK19)) = app(tl(sK44(X0)),sK19)
      | nil = sK44(X0)
      | sP10(X0) ),
    inference(resolution,[],[f3624,f509]) ).

fof(f8618,plain,
    ! [X0] :
      ( tl(app(sK43(X0),sK19)) = app(tl(sK43(X0)),sK19)
      | nil = sK43(X0)
      | sP10(X0) ),
    inference(resolution,[],[f3624,f508]) ).

fof(f8617,plain,
    ! [X0] :
      ( tl(app(sK40(X0),sK19)) = app(tl(sK40(X0)),sK19)
      | nil = sK40(X0)
      | sP8(X0) ),
    inference(resolution,[],[f3624,f498]) ).

fof(f8616,plain,
    ! [X0] :
      ( tl(app(sK39(X0),sK19)) = app(tl(sK39(X0)),sK19)
      | nil = sK39(X0)
      | sP8(X0) ),
    inference(resolution,[],[f3624,f497]) ).

fof(f8615,plain,
    ! [X0] :
      ( tl(app(sK38(X0),sK19)) = app(tl(sK38(X0)),sK19)
      | nil = sK38(X0)
      | sP8(X0) ),
    inference(resolution,[],[f3624,f496]) ).

fof(f8614,plain,
    ! [X0] :
      ( tl(app(sK35(X0),sK19)) = app(tl(sK35(X0)),sK19)
      | nil = sK35(X0)
      | sP6(X0) ),
    inference(resolution,[],[f3624,f487]) ).

fof(f8613,plain,
    ! [X0] :
      ( tl(app(sK34(X0),sK19)) = app(tl(sK34(X0)),sK19)
      | nil = sK34(X0)
      | sP6(X0) ),
    inference(resolution,[],[f3624,f486]) ).

fof(f8612,plain,
    ! [X0] :
      ( tl(app(sK33(X0),sK19)) = app(tl(sK33(X0)),sK19)
      | nil = sK33(X0)
      | sP6(X0) ),
    inference(resolution,[],[f3624,f485]) ).

fof(f8611,plain,
    ! [X0] :
      ( tl(app(sK30(X0),sK19)) = app(tl(sK30(X0)),sK19)
      | nil = sK30(X0)
      | sP4(X0) ),
    inference(resolution,[],[f3624,f476]) ).

fof(f8610,plain,
    ! [X0] :
      ( tl(app(sK29(X0),sK19)) = app(tl(sK29(X0)),sK19)
      | nil = sK29(X0)
      | sP4(X0) ),
    inference(resolution,[],[f3624,f475]) ).

fof(f8609,plain,
    ! [X0] :
      ( tl(app(sK25(X0),sK19)) = app(tl(sK25(X0)),sK19)
      | nil = sK25(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f3624,f465]) ).

fof(f8607,plain,
    ! [X0] :
      ( tl(app(sK22(X0),sK19)) = app(tl(sK22(X0)),sK19)
      | nil = sK22(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f3624,f457]) ).

fof(f8678,plain,
    ( app(tl(sK19),sK19) = tl(app(sK19,sK19))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f8677,f841]) ).

fof(f8677,plain,
    ( nil = sK19
    | app(tl(sK19),sK19) = tl(app(sK19,sK19)) ),
    inference(forward_demodulation,[],[f8676,f378]) ).

fof(f8676,plain,
    ( app(tl(sK19),sK19) = tl(app(sK19,sK19))
    | nil = sK21 ),
    inference(forward_demodulation,[],[f8606,f378]) ).

fof(f8606,plain,
    ( tl(app(sK21,sK19)) = app(tl(sK21),sK19)
    | nil = sK21 ),
    inference(resolution,[],[f3624,f377]) ).

fof(f8601,plain,
    ! [X0] :
      ( tl(app(tl(X0),sK19)) = app(tl(tl(X0)),sK19)
      | nil = tl(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f3624,f461]) ).

fof(f8599,plain,
    ! [X0,X1] :
      ( tl(app(app(X0,X1),sK19)) = app(tl(app(X0,X1)),sK19)
      | nil = app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3624,f565]) ).

fof(f8652,plain,
    ! [X0,X1] :
      ( tl(app(cons(X0,X1),sK19)) = app(tl(cons(X0,X1)),sK19)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f8592,f556]) ).

fof(f8592,plain,
    ! [X0,X1] :
      ( tl(app(cons(X0,X1),sK19)) = app(tl(cons(X0,X1)),sK19)
      | nil = cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f3624,f555]) ).

fof(f3624,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(app(X0,sK19)) = app(tl(X0),sK19)
      | nil = X0 ),
    inference(resolution,[],[f567,f375]) ).

fof(f8585,plain,
    ( nil != app(sK19,sK19)
    | spl69_76 ),
    inference(avatar_component_clause,[],[f8584]) ).

fof(f794,plain,
    ! [X0] :
      ( ~ sP2(X0,hd(X0))
      | nil = X0
      | ~ ssItem(hd(X0)) ),
    inference(resolution,[],[f442,f395]) ).

fof(f782,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ lt(X0,X1) ),
    inference(duplicate_literal_removal,[],[f781]) ).

fof(f781,plain,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f413,f405]) ).

fof(f2895,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(X0,sK66(sK19,X0)) ),
    inference(subsumption_resolution,[],[f2893,f375]) ).

fof(f2893,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(X0,sK66(sK19,X0))
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f2890]) ).

fof(f2890,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(X0,sK66(sK19,X0))
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(resolution,[],[f2873,f582]) ).

fof(f2767,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(sK63(sK19,X0),X0) ),
    inference(subsumption_resolution,[],[f2764,f375]) ).

fof(f2764,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(sK63(sK19,X0),X0)
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f2761]) ).

fof(f2761,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(sK63(sK19,X0),X0)
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(resolution,[],[f2746,f575]) ).

fof(f8202,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))) = sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
    inference(resolution,[],[f616,f1727]) ).

fof(f8197,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f616,f1033]) ).

fof(f8196,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f616,f1032]) ).

fof(f8195,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK19 = tl(cons(sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f616,f953]) ).

fof(f8194,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK19 = tl(cons(sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f616,f952]) ).

fof(f8193,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK50(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f616,f703]) ).

fof(f8192,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK49(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f616,f702]) ).

fof(f8191,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK48(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f616,f701]) ).

fof(f8190,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f616,f676]) ).

fof(f8189,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f616,f675]) ).

fof(f8188,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f616,f674]) ).

fof(f8187,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | ~ cyclefreeP(app(app(X4,cons(X0,X3)),cons(X1,X2)))
      | ~ ssList(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
    inference(resolution,[],[f616,f649]) ).

fof(f8186,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ),
    inference(resolution,[],[f616,f523]) ).

fof(f616,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | ~ leq(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ leq(X7,X6) ),
    inference(equality_resolution,[],[f517]) ).

fof(f517,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( ~ leq(X7,X6)
      | ~ leq(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP12(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f328,plain,
    ! [X0] :
      ( ( sP12(X0)
        | ( leq(sK47(X0),sK46(X0))
          & leq(sK46(X0),sK47(X0))
          & app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0
          & ssList(sK50(X0))
          & ssList(sK49(X0))
          & ssList(sK48(X0))
          & ssItem(sK47(X0))
          & ssItem(sK46(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( ~ leq(X7,X6)
                            | ~ leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP12(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48,sK49,sK50])],[f322,f327,f326,f325,f324,f323]) ).

fof(f323,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( leq(X2,X1)
                          & leq(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( leq(X2,sK46(X0))
                        & leq(sK46(X0),X2)
                        & app(app(X3,cons(sK46(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK46(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f324,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( leq(X2,sK46(X0))
                      & leq(sK46(X0),X2)
                      & app(app(X3,cons(sK46(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( leq(sK47(X0),sK46(X0))
                    & leq(sK46(X0),sK47(X0))
                    & app(app(X3,cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK47(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f325,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( leq(sK47(X0),sK46(X0))
                  & leq(sK46(X0),sK47(X0))
                  & app(app(X3,cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( leq(sK47(X0),sK46(X0))
                & leq(sK46(X0),sK47(X0))
                & app(app(sK48(X0),cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK48(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f326,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( leq(sK47(X0),sK46(X0))
              & leq(sK46(X0),sK47(X0))
              & app(app(sK48(X0),cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( leq(sK47(X0),sK46(X0))
            & leq(sK46(X0),sK47(X0))
            & app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK49(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f327,plain,
    ! [X0] :
      ( ? [X5] :
          ( leq(sK47(X0),sK46(X0))
          & leq(sK46(X0),sK47(X0))
          & app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),X5)) = X0
          & ssList(X5) )
     => ( leq(sK47(X0),sK46(X0))
        & leq(sK46(X0),sK47(X0))
        & app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0
        & ssList(sK50(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f322,plain,
    ! [X0] :
      ( ( sP12(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( leq(X2,X1)
                            & leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( ~ leq(X7,X6)
                            | ~ leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP12(X0) ) ),
    inference(rectify,[],[f321]) ).

fof(f321,plain,
    ! [X0] :
      ( ( sP12(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( leq(X2,X1)
                            & leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( ~ leq(X2,X1)
                            | ~ leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP12(X0) ) ),
    inference(nnf_transformation,[],[f241]) ).

fof(f241,plain,
    ! [X0] :
      ( sP12(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ~ leq(X2,X1)
                          | ~ leq(X1,X2)
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f8080,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f615,f1031]) ).

fof(f8079,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f615,f1030]) ).

fof(f8078,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK19 = tl(cons(sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f615,f951]) ).

fof(f8077,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK19 = tl(cons(sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f615,f950]) ).

fof(f8076,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK45(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f615,f700]) ).

fof(f8075,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK44(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f615,f699]) ).

fof(f8074,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK43(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f615,f698]) ).

fof(f8073,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f615,f673]) ).

fof(f8072,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f615,f672]) ).

fof(f8071,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f615,f671]) ).

fof(f8070,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | ~ strictorderP(app(app(X4,cons(X0,X3)),cons(X1,X2)))
      | ~ ssList(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
    inference(resolution,[],[f615,f648]) ).

fof(f8069,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ),
    inference(resolution,[],[f615,f511]) ).

fof(f615,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | lt(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | lt(X7,X6) ),
    inference(equality_resolution,[],[f505]) ).

fof(f505,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( lt(X7,X6)
      | lt(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP10(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f319,plain,
    ! [X0] :
      ( ( sP10(X0)
        | ( ~ lt(sK42(X0),sK41(X0))
          & ~ lt(sK41(X0),sK42(X0))
          & app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
          & ssList(sK45(X0))
          & ssList(sK44(X0))
          & ssList(sK43(X0))
          & ssItem(sK42(X0))
          & ssItem(sK41(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( lt(X7,X6)
                            | lt(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP10(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43,sK44,sK45])],[f313,f318,f317,f316,f315,f314]) ).

fof(f314,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ lt(X2,X1)
                          & ~ lt(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ~ lt(X2,sK41(X0))
                        & ~ lt(sK41(X0),X2)
                        & app(app(X3,cons(sK41(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK41(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f315,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ~ lt(X2,sK41(X0))
                      & ~ lt(sK41(X0),X2)
                      & app(app(X3,cons(sK41(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ~ lt(sK42(X0),sK41(X0))
                    & ~ lt(sK41(X0),sK42(X0))
                    & app(app(X3,cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK42(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f316,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ~ lt(sK42(X0),sK41(X0))
                  & ~ lt(sK41(X0),sK42(X0))
                  & app(app(X3,cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( ~ lt(sK42(X0),sK41(X0))
                & ~ lt(sK41(X0),sK42(X0))
                & app(app(sK43(X0),cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK43(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f317,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ~ lt(sK42(X0),sK41(X0))
              & ~ lt(sK41(X0),sK42(X0))
              & app(app(sK43(X0),cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( ~ lt(sK42(X0),sK41(X0))
            & ~ lt(sK41(X0),sK42(X0))
            & app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK44(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f318,plain,
    ! [X0] :
      ( ? [X5] :
          ( ~ lt(sK42(X0),sK41(X0))
          & ~ lt(sK41(X0),sK42(X0))
          & app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),X5)) = X0
          & ssList(X5) )
     => ( ~ lt(sK42(X0),sK41(X0))
        & ~ lt(sK41(X0),sK42(X0))
        & app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
        & ssList(sK45(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f313,plain,
    ! [X0] :
      ( ( sP10(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ lt(X2,X1)
                            & ~ lt(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( lt(X7,X6)
                            | lt(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP10(X0) ) ),
    inference(rectify,[],[f312]) ).

fof(f312,plain,
    ! [X0] :
      ( ( sP10(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ lt(X2,X1)
                            & ~ lt(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X2,X1)
                            | lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP10(X0) ) ),
    inference(nnf_transformation,[],[f238]) ).

fof(f238,plain,
    ! [X0] :
      ( sP10(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( lt(X2,X1)
                          | lt(X1,X2)
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f8064,plain,
    ! [X0,X1] :
      ( sK57(cons(X0,X1)) = hd(cons(sK57(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1164,f438]) ).

fof(f1164,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK57(X0) = hd(cons(sK57(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1037,f653]) ).

fof(f8049,plain,
    ! [X0,X1] :
      ( sK56(cons(X0,X1)) = hd(cons(sK56(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1157,f438]) ).

fof(f1157,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK56(X0) = hd(cons(sK56(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1036,f653]) ).

fof(f8041,plain,
    ! [X0,X1] :
      ( sK52(cons(X0,X1)) = hd(cons(sK52(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1156,f430]) ).

fof(f1156,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK52(X0) = hd(cons(sK52(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1035,f651]) ).

fof(f8033,plain,
    ! [X0,X1] :
      ( sK51(cons(X0,X1)) = hd(cons(sK51(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1155,f430]) ).

fof(f1155,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK51(X0) = hd(cons(sK51(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1034,f651]) ).

fof(f7973,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK37(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK37(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f614,f1029]) ).

fof(f7972,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK36(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK36(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f614,f1028]) ).

fof(f7971,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK19 = tl(cons(sK37(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f614,f949]) ).

fof(f7970,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK19 = tl(cons(sK36(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f614,f948]) ).

fof(f7969,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK40(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f614,f697]) ).

fof(f7968,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK39(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f614,f696]) ).

fof(f7967,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK38(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f614,f695]) ).

fof(f7966,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f614,f670]) ).

fof(f7965,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f614,f669]) ).

fof(f7964,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f614,f668]) ).

fof(f7963,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | ~ totalorderP(app(app(X4,cons(X0,X3)),cons(X1,X2)))
      | ~ ssList(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
    inference(resolution,[],[f614,f647]) ).

fof(f7962,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK36(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK37(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ),
    inference(resolution,[],[f614,f499]) ).

fof(f614,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | leq(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | leq(X7,X6) ),
    inference(equality_resolution,[],[f493]) ).

fof(f493,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( leq(X7,X6)
      | leq(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP8(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f310,plain,
    ! [X0] :
      ( ( sP8(X0)
        | ( ~ leq(sK37(X0),sK36(X0))
          & ~ leq(sK36(X0),sK37(X0))
          & app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0
          & ssList(sK40(X0))
          & ssList(sK39(X0))
          & ssList(sK38(X0))
          & ssItem(sK37(X0))
          & ssItem(sK36(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( leq(X7,X6)
                            | leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP8(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39,sK40])],[f304,f309,f308,f307,f306,f305]) ).

fof(f305,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ leq(X2,X1)
                          & ~ leq(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ~ leq(X2,sK36(X0))
                        & ~ leq(sK36(X0),X2)
                        & app(app(X3,cons(sK36(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK36(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f306,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ~ leq(X2,sK36(X0))
                      & ~ leq(sK36(X0),X2)
                      & app(app(X3,cons(sK36(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ~ leq(sK37(X0),sK36(X0))
                    & ~ leq(sK36(X0),sK37(X0))
                    & app(app(X3,cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK37(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f307,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ~ leq(sK37(X0),sK36(X0))
                  & ~ leq(sK36(X0),sK37(X0))
                  & app(app(X3,cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( ~ leq(sK37(X0),sK36(X0))
                & ~ leq(sK36(X0),sK37(X0))
                & app(app(sK38(X0),cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK38(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f308,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ~ leq(sK37(X0),sK36(X0))
              & ~ leq(sK36(X0),sK37(X0))
              & app(app(sK38(X0),cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( ~ leq(sK37(X0),sK36(X0))
            & ~ leq(sK36(X0),sK37(X0))
            & app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK39(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f309,plain,
    ! [X0] :
      ( ? [X5] :
          ( ~ leq(sK37(X0),sK36(X0))
          & ~ leq(sK36(X0),sK37(X0))
          & app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),X5)) = X0
          & ssList(X5) )
     => ( ~ leq(sK37(X0),sK36(X0))
        & ~ leq(sK36(X0),sK37(X0))
        & app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0
        & ssList(sK40(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f304,plain,
    ! [X0] :
      ( ( sP8(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ leq(X2,X1)
                            & ~ leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( leq(X7,X6)
                            | leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP8(X0) ) ),
    inference(rectify,[],[f303]) ).

fof(f303,plain,
    ! [X0] :
      ( ( sP8(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ leq(X2,X1)
                            & ~ leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X2,X1)
                            | leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP8(X0) ) ),
    inference(nnf_transformation,[],[f235]) ).

fof(f235,plain,
    ! [X0] :
      ( sP8(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( leq(X2,X1)
                          | leq(X1,X2)
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f7921,plain,
    ! [X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = X0
      | ~ segmentP(X0,app(sK19,X1))
      | ~ ssList(app(sK19,X1)) ),
    inference(duplicate_literal_removal,[],[f7918]) ).

fof(f7918,plain,
    ! [X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = X0
      | ~ segmentP(X0,app(sK19,X1))
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X0) ),
    inference(resolution,[],[f6471,f570]) ).

fof(f7922,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X2,X0)
      | ~ segmentP(X2,app(sK19,X1))
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f7917]) ).

fof(f7917,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X2,X0)
      | ~ segmentP(X2,app(sK19,X1))
      | ~ ssList(X0)
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X2) ),
    inference(resolution,[],[f6471,f596]) ).

fof(f7923,plain,
    ! [X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = app(app(sK64(app(sK19,X1),X0),X0),sK65(app(sK19,X1),X0))
      | ~ ssList(app(sK19,X1)) ),
    inference(duplicate_literal_removal,[],[f7916]) ).

fof(f7916,plain,
    ! [X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = app(app(sK64(app(sK19,X1),X0),X0),sK65(app(sK19,X1),X0))
      | ~ ssList(X0)
      | ~ ssList(app(sK19,X1)) ),
    inference(resolution,[],[f6471,f579]) ).

fof(f6471,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(sK19,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6470,f375]) ).

fof(f6470,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(sK19,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(sK19) ),
    inference(subsumption_resolution,[],[f6380,f393]) ).

fof(f6380,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(sK19,X1)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(sK19) ),
    inference(superposition,[],[f598,f687]) ).

fof(f7908,plain,
    ! [X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = X0
      | ~ segmentP(X0,app(sK19,X1))
      | ~ ssList(app(sK19,X1)) ),
    inference(duplicate_literal_removal,[],[f7905]) ).

fof(f7905,plain,
    ! [X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = X0
      | ~ segmentP(X0,app(sK19,X1))
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X0) ),
    inference(resolution,[],[f6438,f570]) ).

fof(f7909,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X2,X0)
      | ~ segmentP(X2,app(sK19,X1))
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f7904]) ).

fof(f7904,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X2,X0)
      | ~ segmentP(X2,app(sK19,X1))
      | ~ ssList(X0)
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X2) ),
    inference(resolution,[],[f6438,f596]) ).

fof(f7910,plain,
    ! [X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = app(app(sK64(app(sK19,X1),X0),X0),sK65(app(sK19,X1),X0))
      | ~ ssList(app(sK19,X1)) ),
    inference(duplicate_literal_removal,[],[f7903]) ).

fof(f7903,plain,
    ! [X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = app(app(sK64(app(sK19,X1),X0),X0),sK65(app(sK19,X1),X0))
      | ~ ssList(X0)
      | ~ ssList(app(sK19,X1)) ),
    inference(resolution,[],[f6438,f579]) ).

fof(f6438,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6437,f393]) ).

fof(f6437,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f6366,f375]) ).

fof(f6366,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(sK19)
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(superposition,[],[f598,f660]) ).

fof(f7834,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f618,f1037]) ).

fof(f7833,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f618,f1036]) ).

fof(f7832,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK19 = tl(cons(sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f618,f957]) ).

fof(f7831,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK19 = tl(cons(sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f618,f956]) ).

fof(f7830,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK60(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f618,f709]) ).

fof(f7829,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK59(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f618,f708]) ).

fof(f7828,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK58(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f618,f707]) ).

fof(f7827,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f618,f682]) ).

fof(f7826,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f618,f681]) ).

fof(f7825,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f618,f680]) ).

fof(f7824,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | ~ strictorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))
      | ~ ssList(app(app(X2,cons(X4,X1)),cons(X3,X0))) ),
    inference(resolution,[],[f618,f652]) ).

fof(f7823,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))))) ),
    inference(resolution,[],[f618,f546]) ).

fof(f618,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | lt(X6,X7) ),
    inference(equality_resolution,[],[f540]) ).

fof(f540,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( lt(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP16(X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f346,plain,
    ! [X0] :
      ( ( sP16(X0)
        | ( ~ lt(sK56(X0),sK57(X0))
          & app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0
          & ssList(sK60(X0))
          & ssList(sK59(X0))
          & ssList(sK58(X0))
          & ssItem(sK57(X0))
          & ssItem(sK56(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( lt(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP16(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57,sK58,sK59,sK60])],[f340,f345,f344,f343,f342,f341]) ).

fof(f341,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ lt(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ~ lt(sK56(X0),X2)
                        & app(app(X3,cons(sK56(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK56(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f342,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ~ lt(sK56(X0),X2)
                      & app(app(X3,cons(sK56(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ~ lt(sK56(X0),sK57(X0))
                    & app(app(X3,cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK57(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f343,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ~ lt(sK56(X0),sK57(X0))
                  & app(app(X3,cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( ~ lt(sK56(X0),sK57(X0))
                & app(app(sK58(X0),cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK58(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ~ lt(sK56(X0),sK57(X0))
              & app(app(sK58(X0),cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( ~ lt(sK56(X0),sK57(X0))
            & app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK59(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ! [X0] :
      ( ? [X5] :
          ( ~ lt(sK56(X0),sK57(X0))
          & app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),X5)) = X0
          & ssList(X5) )
     => ( ~ lt(sK56(X0),sK57(X0))
        & app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0
        & ssList(sK60(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f340,plain,
    ! [X0] :
      ( ( sP16(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ lt(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( lt(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP16(X0) ) ),
    inference(rectify,[],[f339]) ).

fof(f339,plain,
    ! [X0] :
      ( ( sP16(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ lt(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP16(X0) ) ),
    inference(nnf_transformation,[],[f247]) ).

fof(f247,plain,
    ! [X0] :
      ( sP16(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( lt(X1,X2)
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f7714,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK52(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK52(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f617,f1035]) ).

fof(f7713,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK51(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK51(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f617,f1034]) ).

fof(f7712,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK19 = tl(cons(sK52(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f617,f955]) ).

fof(f7711,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK19 = tl(cons(sK51(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f617,f954]) ).

fof(f7710,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK55(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f617,f706]) ).

fof(f7709,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK54(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f617,f705]) ).

fof(f7708,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK53(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f617,f704]) ).

fof(f7707,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f617,f679]) ).

fof(f7706,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f617,f678]) ).

fof(f7705,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f617,f677]) ).

fof(f7704,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | ~ totalorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))
      | ~ ssList(app(app(X2,cons(X4,X1)),cons(X3,X0))) ),
    inference(resolution,[],[f617,f650]) ).

fof(f7703,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK51(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK52(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))))) ),
    inference(resolution,[],[f617,f535]) ).

fof(f617,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | leq(X6,X7) ),
    inference(equality_resolution,[],[f529]) ).

fof(f529,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( leq(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP14(X0) ),
    inference(cnf_transformation,[],[f337]) ).

fof(f337,plain,
    ! [X0] :
      ( ( sP14(X0)
        | ( ~ leq(sK51(X0),sK52(X0))
          & app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0
          & ssList(sK55(X0))
          & ssList(sK54(X0))
          & ssList(sK53(X0))
          & ssItem(sK52(X0))
          & ssItem(sK51(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP14(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54,sK55])],[f331,f336,f335,f334,f333,f332]) ).

fof(f332,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ leq(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ~ leq(sK51(X0),X2)
                        & app(app(X3,cons(sK51(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK51(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f333,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ~ leq(sK51(X0),X2)
                      & app(app(X3,cons(sK51(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ~ leq(sK51(X0),sK52(X0))
                    & app(app(X3,cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK52(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f334,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ~ leq(sK51(X0),sK52(X0))
                  & app(app(X3,cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( ~ leq(sK51(X0),sK52(X0))
                & app(app(sK53(X0),cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK53(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f335,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ~ leq(sK51(X0),sK52(X0))
              & app(app(sK53(X0),cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( ~ leq(sK51(X0),sK52(X0))
            & app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK54(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f336,plain,
    ! [X0] :
      ( ? [X5] :
          ( ~ leq(sK51(X0),sK52(X0))
          & app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),X5)) = X0
          & ssList(X5) )
     => ( ~ leq(sK51(X0),sK52(X0))
        & app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0
        & ssList(sK55(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f331,plain,
    ! [X0] :
      ( ( sP14(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( leq(X6,X7)
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP14(X0) ) ),
    inference(rectify,[],[f330]) ).

fof(f330,plain,
    ! [X0] :
      ( ( sP14(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ~ leq(X1,X2)
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP14(X0) ) ),
    inference(nnf_transformation,[],[f244]) ).

fof(f244,plain,
    ! [X0] :
      ( sP14(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( leq(X1,X2)
                          | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                          | ~ ssList(X5) )
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f568,plain,
    ! [X0,X1] :
      ( tl(X0) != tl(X1)
      | X0 = X1
      | hd(X0) != hd(X1)
      | nil = X0
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | tl(X0) != tl(X1)
          | hd(X0) != hd(X1)
          | nil = X0
          | nil = X1
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f190]) ).

fof(f190,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | tl(X0) != tl(X1)
          | hd(X0) != hd(X1)
          | nil = X0
          | nil = X1
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( tl(X0) = tl(X1)
              & hd(X0) = hd(X1)
              & nil != X0
              & nil != X1 )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).

fof(f7387,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | sK19 = app(sK19,X0)
      | ~ segmentP(sK19,app(sK19,X0)) ),
    inference(subsumption_resolution,[],[f7382,f375]) ).

fof(f7382,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | sK19 = app(sK19,X0)
      | ~ segmentP(sK19,app(sK19,X0))
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f7379]) ).

fof(f7379,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | sK19 = app(sK19,X0)
      | ~ segmentP(sK19,app(sK19,X0))
      | ~ ssList(app(sK19,X0))
      | ~ ssList(sK19) ),
    inference(resolution,[],[f7309,f570]) ).

fof(f7386,plain,
    ! [X0,X1] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | segmentP(X1,sK19)
      | ~ segmentP(X1,app(sK19,X0))
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f7383,f375]) ).

fof(f7383,plain,
    ! [X0,X1] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | segmentP(X1,sK19)
      | ~ segmentP(X1,app(sK19,X0))
      | ~ ssList(sK19)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f7378]) ).

fof(f7378,plain,
    ! [X0,X1] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | segmentP(X1,sK19)
      | ~ segmentP(X1,app(sK19,X0))
      | ~ ssList(sK19)
      | ~ ssList(app(sK19,X0))
      | ~ ssList(X1) ),
    inference(resolution,[],[f7309,f596]) ).

fof(f7385,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | app(sK19,X0) = app(app(sK64(app(sK19,X0),sK19),sK19),sK65(app(sK19,X0),sK19)) ),
    inference(subsumption_resolution,[],[f7384,f375]) ).

fof(f7384,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | app(sK19,X0) = app(app(sK64(app(sK19,X0),sK19),sK19),sK65(app(sK19,X0),sK19))
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f7377]) ).

fof(f7377,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | app(sK19,X0) = app(app(sK64(app(sK19,X0),sK19),sK19),sK65(app(sK19,X0),sK19))
      | ~ ssList(sK19)
      | ~ ssList(app(sK19,X0)) ),
    inference(resolution,[],[f7309,f579]) ).

fof(f7309,plain,
    ! [X0] :
      ( segmentP(app(sK19,X0),sK19)
      | ~ ssList(app(sK19,X0))
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f7308,f687]) ).

fof(f7308,plain,
    ! [X0] :
      ( segmentP(app(sK19,X0),sK19)
      | ~ ssList(X0)
      | ~ ssList(app(app(nil,sK19),X0)) ),
    inference(subsumption_resolution,[],[f7307,f375]) ).

fof(f7307,plain,
    ! [X0] :
      ( segmentP(app(sK19,X0),sK19)
      | ~ ssList(X0)
      | ~ ssList(sK19)
      | ~ ssList(app(app(nil,sK19),X0)) ),
    inference(subsumption_resolution,[],[f7182,f393]) ).

fof(f7182,plain,
    ! [X0] :
      ( segmentP(app(sK19,X0),sK19)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(sK19)
      | ~ ssList(app(app(nil,sK19),X0)) ),
    inference(superposition,[],[f625,f687]) ).

fof(f7202,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | app(app(X1,X2),X0) = X2
      | ~ segmentP(X2,app(app(X1,X2),X0)) ),
    inference(duplicate_literal_removal,[],[f7152]) ).

fof(f7152,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | app(app(X1,X2),X0) = X2
      | ~ segmentP(X2,app(app(X1,X2),X0))
      | ~ ssList(app(app(X1,X2),X0))
      | ~ ssList(X2) ),
    inference(resolution,[],[f625,f570]) ).

fof(f7203,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | segmentP(X3,X2)
      | ~ segmentP(X3,app(app(X1,X2),X0))
      | ~ ssList(X3) ),
    inference(duplicate_literal_removal,[],[f7151]) ).

fof(f7151,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | segmentP(X3,X2)
      | ~ segmentP(X3,app(app(X1,X2),X0))
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | ~ ssList(X3) ),
    inference(resolution,[],[f625,f596]) ).

fof(f7204,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | app(app(X1,X2),X0) = app(app(sK64(app(app(X1,X2),X0),X2),X2),sK65(app(app(X1,X2),X0),X2)) ),
    inference(duplicate_literal_removal,[],[f7150]) ).

fof(f7150,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | app(app(X1,X2),X0) = app(app(sK64(app(app(X1,X2),X0),X2),X2),sK65(app(app(X1,X2),X0),X2))
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0)) ),
    inference(resolution,[],[f625,f579]) ).

fof(f625,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(app(X2,X1),X3)) ),
    inference(equality_resolution,[],[f580]) ).

fof(f580,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f364]) ).

fof(f364,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
                & ssList(sK65(X0,X1))
                & ssList(sK64(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65])],[f361,f363,f362]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(app(sK64(X0,X1),X1),X5) = X0
            & ssList(X5) )
        & ssList(sK64(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK64(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
        & ssList(sK65(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f361,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f360]) ).

fof(f360,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f200]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f7002,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(app(X1,cons(X2,X0)))
      | app(X1,cons(X2,X0)) = app(sK61(app(X1,cons(X2,X0)),X2),cons(X2,sK62(app(X1,cons(X2,X0)),X2))) ),
    inference(duplicate_literal_removal,[],[f6989]) ).

fof(f6989,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(app(X1,cons(X2,X0)))
      | app(X1,cons(X2,X0)) = app(sK61(app(X1,cons(X2,X0)),X2),cons(X2,sK62(app(X1,cons(X2,X0)),X2)))
      | ~ ssItem(X2)
      | ~ ssList(app(X1,cons(X2,X0))) ),
    inference(resolution,[],[f622,f563]) ).

fof(f622,plain,
    ! [X2,X3,X1] :
      ( memberP(app(X2,cons(X1,X3)),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssList(app(X2,cons(X1,X3))) ),
    inference(equality_resolution,[],[f564]) ).

fof(f564,plain,
    ! [X2,X3,X0,X1] :
      ( memberP(X0,X1)
      | app(X2,cons(X1,X3)) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f354]) ).

fof(f354,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
                & ssList(sK62(X0,X1))
                & ssList(sK61(X0,X1)) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK61,sK62])],[f351,f353,f352]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(X4,cons(X1,X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(sK61(X0,X1),cons(X1,X5)) = X0
            & ssList(X5) )
        & ssList(sK61(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(sK61(X0,X1),cons(X1,X5)) = X0
          & ssList(X5) )
     => ( app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
        & ssList(sK62(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f351,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(X4,cons(X1,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f350]) ).

fof(f350,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(X2,cons(X1,X3)) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f184]) ).

fof(f184,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(X2,cons(X1,X3)) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(X2,cons(X1,X3)) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f6856,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | nil = tl(cons(sK28(app(X1,cons(X3,cons(X2,X0)))),nil)) ),
    inference(resolution,[],[f611,f1254]) ).

fof(f6855,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | nil = tl(cons(sK27(app(X1,cons(X3,cons(X2,X0)))),nil)) ),
    inference(resolution,[],[f611,f1253]) ).

fof(f6852,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK28(app(X1,cons(X3,cons(X2,X0)))) = hd(cons(sK28(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
    inference(resolution,[],[f611,f1025]) ).

fof(f6851,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK27(app(X1,cons(X3,cons(X2,X0)))) = hd(cons(sK27(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
    inference(resolution,[],[f611,f1024]) ).

fof(f6850,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK19 = tl(cons(sK28(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
    inference(resolution,[],[f611,f945]) ).

fof(f6849,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK19 = tl(cons(sK27(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
    inference(resolution,[],[f611,f944]) ).

fof(f6846,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK30(app(X1,cons(X3,cons(X2,X0)))) = app(nil,sK30(app(X1,cons(X3,cons(X2,X0))))) ),
    inference(resolution,[],[f611,f691]) ).

fof(f6845,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK29(app(X1,cons(X3,cons(X2,X0)))) = app(nil,sK29(app(X1,cons(X3,cons(X2,X0))))) ),
    inference(resolution,[],[f611,f690]) ).

fof(f6844,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK30(app(X1,cons(X3,cons(X2,X0)))) = app(sK30(app(X1,cons(X3,cons(X2,X0)))),nil) ),
    inference(resolution,[],[f611,f664]) ).

fof(f6843,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK29(app(X1,cons(X3,cons(X2,X0)))) = app(sK29(app(X1,cons(X3,cons(X2,X0)))),nil) ),
    inference(resolution,[],[f611,f663]) ).

fof(f6842,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | ~ equalelemsP(app(X1,cons(X3,cons(X2,X0))))
      | ~ ssList(app(X1,cons(X3,cons(X2,X0)))) ),
    inference(resolution,[],[f611,f645]) ).

fof(f6841,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | app(X1,cons(X3,cons(X2,X0))) = app(sK29(app(X1,cons(X3,cons(X2,X0)))),cons(sK27(app(X1,cons(X3,cons(X2,X0)))),cons(sK28(app(X1,cons(X3,cons(X2,X0)))),sK30(app(X1,cons(X3,cons(X2,X0))))))) ),
    inference(resolution,[],[f611,f477]) ).

fof(f611,plain,
    ! [X8,X6,X7,X5] :
      ( ~ sP4(app(X7,cons(X5,cons(X6,X8))))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | ~ ssItem(X5)
      | X5 = X6 ),
    inference(equality_resolution,[],[f472]) ).

fof(f472,plain,
    ! [X0,X8,X6,X7,X5] :
      ( X5 = X6
      | app(X7,cons(X5,cons(X6,X8))) != X0
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | ~ ssItem(X5)
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f292]) ).

fof(f292,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ( sK27(X0) != sK28(X0)
          & app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0
          & ssList(sK30(X0))
          & ssList(sK29(X0))
          & ssItem(sK28(X0))
          & ssItem(sK27(X0)) ) )
      & ( ! [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( X5 = X6
                        | app(X7,cons(X5,cons(X6,X8))) != X0
                        | ~ ssList(X8) )
                    | ~ ssList(X7) )
                | ~ ssItem(X6) )
            | ~ ssItem(X5) )
        | ~ sP4(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30])],[f287,f291,f290,f289,f288]) ).

fof(f288,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( X1 != X2
                      & app(X3,cons(X1,cons(X2,X4))) = X0
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( sK27(X0) != X2
                    & app(X3,cons(sK27(X0),cons(X2,X4))) = X0
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK27(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f289,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( sK27(X0) != X2
                  & app(X3,cons(sK27(X0),cons(X2,X4))) = X0
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( sK27(X0) != sK28(X0)
                & app(X3,cons(sK27(X0),cons(sK28(X0),X4))) = X0
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK28(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f290,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( sK27(X0) != sK28(X0)
              & app(X3,cons(sK27(X0),cons(sK28(X0),X4))) = X0
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( sK27(X0) != sK28(X0)
            & app(sK29(X0),cons(sK27(X0),cons(sK28(X0),X4))) = X0
            & ssList(X4) )
        & ssList(sK29(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f291,plain,
    ! [X0] :
      ( ? [X4] :
          ( sK27(X0) != sK28(X0)
          & app(sK29(X0),cons(sK27(X0),cons(sK28(X0),X4))) = X0
          & ssList(X4) )
     => ( sK27(X0) != sK28(X0)
        & app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0
        & ssList(sK30(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f287,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( X1 != X2
                        & app(X3,cons(X1,cons(X2,X4))) = X0
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( X5 = X6
                        | app(X7,cons(X5,cons(X6,X8))) != X0
                        | ~ ssList(X8) )
                    | ~ ssList(X7) )
                | ~ ssItem(X6) )
            | ~ ssItem(X5) )
        | ~ sP4(X0) ) ),
    inference(rectify,[],[f286]) ).

fof(f286,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( X1 != X2
                        & app(X3,cons(X1,cons(X2,X4))) = X0
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( X1 = X2
                        | app(X3,cons(X1,cons(X2,X4))) != X0
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP4(X0) ) ),
    inference(nnf_transformation,[],[f229]) ).

fof(f229,plain,
    ! [X0] :
      ( sP4(X0)
    <=> ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( X1 = X2
                      | app(X3,cons(X1,cons(X2,X4))) != X0
                      | ~ ssList(X4) )
                  | ~ ssList(X3) )
              | ~ ssItem(X2) )
          | ~ ssItem(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f6571,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))) = hd(cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
    inference(resolution,[],[f631,f1027]) ).

fof(f6570,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))) = hd(cons(sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
    inference(resolution,[],[f631,f1026]) ).

fof(f6569,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK19 = tl(cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
    inference(resolution,[],[f631,f947]) ).

fof(f6568,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK19 = tl(cons(sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
    inference(resolution,[],[f631,f946]) ).

fof(f6567,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK35(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
    inference(resolution,[],[f631,f694]) ).

fof(f6566,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK34(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
    inference(resolution,[],[f631,f693]) ).

fof(f6565,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK33(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
    inference(resolution,[],[f631,f692]) ).

fof(f6564,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
    inference(resolution,[],[f631,f667]) ).

fof(f6563,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
    inference(resolution,[],[f631,f666]) ).

fof(f6562,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
    inference(resolution,[],[f631,f665]) ).

fof(f6561,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | ~ duplicatefreeP(app(app(X1,cons(X2,X0)),cons(X2,X3)))
      | ~ ssList(app(app(X1,cons(X2,X0)),cons(X2,X3))) ),
    inference(resolution,[],[f631,f646]) ).

fof(f6560,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))) = sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))) ),
    inference(resolution,[],[f631,f489]) ).

fof(f6559,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | app(app(X1,cons(X2,X0)),cons(X2,X3)) = app(app(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),cons(sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))))),cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))))) ),
    inference(resolution,[],[f631,f488]) ).

fof(f631,plain,
    ! [X10,X8,X9,X7] :
      ( ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10)))
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssList(X10) ),
    inference(duplicate_literal_removal,[],[f613]) ).

fof(f613,plain,
    ! [X10,X8,X9,X7] :
      ( ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X7)
      | ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
    inference(equality_resolution,[],[f612]) ).

fof(f612,plain,
    ! [X10,X0,X8,X9,X7] :
      ( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X7)
      | ~ sP6(X0) ),
    inference(equality_resolution,[],[f482]) ).

fof(f482,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( X6 != X7
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP6(X0) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f301,plain,
    ! [X0] :
      ( ( sP6(X0)
        | ( sK31(X0) = sK32(X0)
          & app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0
          & ssList(sK35(X0))
          & ssList(sK34(X0))
          & ssList(sK33(X0))
          & ssItem(sK32(X0))
          & ssItem(sK31(X0)) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( X6 != X7
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP6(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34,sK35])],[f295,f300,f299,f298,f297,f296]) ).

fof(f296,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( X1 = X2
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( sK31(X0) = X2
                        & app(app(X3,cons(sK31(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK31(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f297,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( sK31(X0) = X2
                      & app(app(X3,cons(sK31(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( sK31(X0) = sK32(X0)
                    & app(app(X3,cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK32(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f298,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( sK31(X0) = sK32(X0)
                  & app(app(X3,cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( sK31(X0) = sK32(X0)
                & app(app(sK33(X0),cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK33(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f299,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( sK31(X0) = sK32(X0)
              & app(app(sK33(X0),cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( sK31(X0) = sK32(X0)
            & app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK34(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f300,plain,
    ! [X0] :
      ( ? [X5] :
          ( sK31(X0) = sK32(X0)
          & app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),X5)) = X0
          & ssList(X5) )
     => ( sK31(X0) = sK32(X0)
        & app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0
        & ssList(sK35(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f295,plain,
    ! [X0] :
      ( ( sP6(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( X1 = X2
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( X6 != X7
                            | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssItem(X6) )
        | ~ sP6(X0) ) ),
    inference(rectify,[],[f294]) ).

fof(f294,plain,
    ! [X0] :
      ( ( sP6(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( X1 = X2
                            & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3) )
                & ssItem(X2) )
            & ssItem(X1) ) )
      & ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( X1 != X2
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
        | ~ sP6(X0) ) ),
    inference(nnf_transformation,[],[f232]) ).

fof(f1428,plain,
    ( ~ totalorderedP(sK19)
    | sP0(tl(sK19),hd(sK19))
    | ~ sP1(hd(sK19),tl(sK19))
    | spl69_5 ),
    inference(superposition,[],[f430,f1423]) ).

fof(f6431,plain,
    ! [X0,X1] :
      ( segmentP(app(nil,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6399,f393]) ).

fof(f6399,plain,
    ! [X0,X1] :
      ( segmentP(app(nil,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f6363]) ).

fof(f6363,plain,
    ! [X0,X1] :
      ( segmentP(app(nil,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(superposition,[],[f598,f639]) ).

fof(f6400,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(X3,X0),X2) = X1
      | ~ segmentP(X1,app(app(X3,X0),X2))
      | ~ ssList(app(app(X3,X0),X2)) ),
    inference(duplicate_literal_removal,[],[f6350]) ).

fof(f6350,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(X3,X0),X2) = X1
      | ~ segmentP(X1,app(app(X3,X0),X2))
      | ~ ssList(app(app(X3,X0),X2))
      | ~ ssList(X1) ),
    inference(resolution,[],[f598,f570]) ).

fof(f6401,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X4,X1)
      | ~ segmentP(X4,app(app(X3,X0),X2))
      | ~ ssList(app(app(X3,X0),X2))
      | ~ ssList(X4) ),
    inference(duplicate_literal_removal,[],[f6349]) ).

fof(f6349,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X4,X1)
      | ~ segmentP(X4,app(app(X3,X0),X2))
      | ~ ssList(X1)
      | ~ ssList(app(app(X3,X0),X2))
      | ~ ssList(X4) ),
    inference(resolution,[],[f598,f596]) ).

fof(f6402,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(X3,X0),X2) = app(app(sK64(app(app(X3,X0),X2),X1),X1),sK65(app(app(X3,X0),X2),X1))
      | ~ ssList(app(app(X3,X0),X2)) ),
    inference(duplicate_literal_removal,[],[f6348]) ).

fof(f6348,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(X3,X0),X2) = app(app(sK64(app(app(X3,X0),X2),X1),X1),sK65(app(app(X3,X0),X2),X1))
      | ~ ssList(X1)
      | ~ ssList(app(app(X3,X0),X2)) ),
    inference(resolution,[],[f598,f579]) ).

fof(f598,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(app(app(X2,X0),X3),X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( segmentP(app(app(X2,X0),X3),X1)
                  | ~ segmentP(X0,X1)
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f221,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( segmentP(app(app(X2,X0),X3),X1)
                  | ~ segmentP(X0,X1)
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( segmentP(X0,X1)
                   => segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

fof(f6338,plain,
    ! [X0] :
      ( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK19))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f6337]) ).

fof(f6337,plain,
    ! [X0] :
      ( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK19))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(resolution,[],[f1023,f610]) ).

fof(f1023,plain,
    ! [X0] :
      ( ~ singletonP(X0)
      | sK26(X0) = hd(cons(sK26(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f967,f467]) ).

fof(f6255,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK19 = tl(cons(sK24(sK66(X0,X1)),sK19))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f581]) ).

fof(f6254,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK19 = tl(cons(sK24(sK65(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f578]) ).

fof(f6253,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK19 = tl(cons(sK24(sK64(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f577]) ).

fof(f6244,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK19 = tl(cons(sK24(sK63(X0,X1)),sK19))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f574]) ).

fof(f6243,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK19 = tl(cons(sK24(sK62(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f562]) ).

fof(f6242,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK19 = tl(cons(sK24(sK61(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f561]) ).

fof(f6241,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK19 = tl(cons(sK24(sK60(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f942,f545]) ).

fof(f6240,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK19 = tl(cons(sK24(sK59(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f942,f544]) ).

fof(f6239,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK19 = tl(cons(sK24(sK58(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f942,f543]) ).

fof(f6238,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK19 = tl(cons(sK24(sK55(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f942,f534]) ).

fof(f6237,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK19 = tl(cons(sK24(sK54(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f942,f533]) ).

fof(f6236,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK19 = tl(cons(sK24(sK53(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f942,f532]) ).

fof(f6235,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK19 = tl(cons(sK24(sK50(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f942,f522]) ).

fof(f6234,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK19 = tl(cons(sK24(sK49(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f942,f521]) ).

fof(f6233,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK19 = tl(cons(sK24(sK48(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f942,f520]) ).

fof(f6232,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK19 = tl(cons(sK24(sK45(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f942,f510]) ).

fof(f6231,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK19 = tl(cons(sK24(sK44(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f942,f509]) ).

fof(f6230,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK19 = tl(cons(sK24(sK43(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f942,f508]) ).

fof(f6229,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK19 = tl(cons(sK24(sK40(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f942,f498]) ).

fof(f6228,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK19 = tl(cons(sK24(sK39(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f942,f497]) ).

fof(f6227,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK19 = tl(cons(sK24(sK38(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f942,f496]) ).

fof(f6226,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK19 = tl(cons(sK24(sK35(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f942,f487]) ).

fof(f6225,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK19 = tl(cons(sK24(sK34(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f942,f486]) ).

fof(f6224,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK19 = tl(cons(sK24(sK33(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f942,f485]) ).

fof(f6223,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK19 = tl(cons(sK24(sK30(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f942,f476]) ).

fof(f6222,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK19 = tl(cons(sK24(sK29(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f942,f475]) ).

fof(f6221,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK19 = tl(cons(sK24(sK25(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f465]) ).

fof(f6219,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK19 = tl(cons(sK24(sK22(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f457]) ).

fof(f6213,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK19 = tl(cons(sK24(tl(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f461]) ).

fof(f6211,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK19 = tl(cons(sK24(app(X0,X1)),sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f565]) ).

fof(f6264,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK24(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6204,f556]) ).

fof(f6204,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | sK19 = tl(cons(sK24(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f942,f555]) ).

fof(f942,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK19 = tl(cons(sK24(X0),sK19)) ),
    inference(resolution,[],[f891,f463]) ).

fof(f589,plain,
    ! [X2,X3,X0,X1] :
      ( cons(X2,X0) != cons(X3,X1)
      | X0 = X1
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( X0 = X1
                    & X2 = X3 )
                  | cons(X2,X0) != cons(X3,X1)
                  | ~ ssItem(X3) )
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( X0 = X1
                    & X2 = X3 )
                  | cons(X2,X0) != cons(X3,X1)
                  | ~ ssItem(X3) )
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ! [X3] :
                  ( ssItem(X3)
                 => ( cons(X2,X0) = cons(X3,X1)
                   => ( X0 = X1
                      & X2 = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f588,plain,
    ! [X2,X3,X0,X1] :
      ( cons(X2,X0) != cons(X3,X1)
      | X2 = X3
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f6093,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK19 = tl(cons(sK23(sK66(X0,X1)),sK19))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f581]) ).

fof(f6092,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK19 = tl(cons(sK23(sK65(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f578]) ).

fof(f6091,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK19 = tl(cons(sK23(sK64(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f577]) ).

fof(f6082,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK19 = tl(cons(sK23(sK63(X0,X1)),sK19))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f574]) ).

fof(f6081,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK19 = tl(cons(sK23(sK62(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f562]) ).

fof(f6080,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK19 = tl(cons(sK23(sK61(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f561]) ).

fof(f6079,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK19 = tl(cons(sK23(sK60(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f941,f545]) ).

fof(f6078,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK19 = tl(cons(sK23(sK59(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f941,f544]) ).

fof(f6077,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK19 = tl(cons(sK23(sK58(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f941,f543]) ).

fof(f6076,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK19 = tl(cons(sK23(sK55(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f941,f534]) ).

fof(f6075,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK19 = tl(cons(sK23(sK54(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f941,f533]) ).

fof(f6074,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK19 = tl(cons(sK23(sK53(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f941,f532]) ).

fof(f6073,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK19 = tl(cons(sK23(sK50(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f941,f522]) ).

fof(f6072,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK19 = tl(cons(sK23(sK49(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f941,f521]) ).

fof(f6071,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK19 = tl(cons(sK23(sK48(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f941,f520]) ).

fof(f6070,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK19 = tl(cons(sK23(sK45(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f941,f510]) ).

fof(f6069,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK19 = tl(cons(sK23(sK44(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f941,f509]) ).

fof(f6068,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK19 = tl(cons(sK23(sK43(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f941,f508]) ).

fof(f6067,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK19 = tl(cons(sK23(sK40(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f941,f498]) ).

fof(f6066,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK19 = tl(cons(sK23(sK39(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f941,f497]) ).

fof(f6065,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK19 = tl(cons(sK23(sK38(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f941,f496]) ).

fof(f6064,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK19 = tl(cons(sK23(sK35(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f941,f487]) ).

fof(f6063,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK19 = tl(cons(sK23(sK34(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f941,f486]) ).

fof(f6062,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK19 = tl(cons(sK23(sK33(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f941,f485]) ).

fof(f6061,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK19 = tl(cons(sK23(sK30(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f941,f476]) ).

fof(f6060,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK19 = tl(cons(sK23(sK29(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f941,f475]) ).

fof(f6059,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK19 = tl(cons(sK23(sK25(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f465]) ).

fof(f6057,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK19 = tl(cons(sK23(sK22(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f457]) ).

fof(f6051,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK19 = tl(cons(sK23(tl(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f461]) ).

fof(f6049,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK19 = tl(cons(sK23(app(X0,X1)),sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f565]) ).

fof(f6102,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK23(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6042,f556]) ).

fof(f6042,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | sK19 = tl(cons(sK23(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f941,f555]) ).

fof(f941,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK19 = tl(cons(sK23(X0),sK19)) ),
    inference(resolution,[],[f891,f458]) ).

fof(f5968,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK19 = tl(cons(hd(sK66(X0,X1)),sK19))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f581]) ).

fof(f5967,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK19 = tl(cons(hd(sK65(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f578]) ).

fof(f5966,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK19 = tl(cons(hd(sK64(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f577]) ).

fof(f5957,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK19 = tl(cons(hd(sK63(X0,X1)),sK19))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f574]) ).

fof(f5956,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK19 = tl(cons(hd(sK62(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f562]) ).

fof(f5955,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK19 = tl(cons(hd(sK61(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f561]) ).

fof(f5954,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK19 = tl(cons(hd(sK60(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f940,f545]) ).

fof(f5953,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK19 = tl(cons(hd(sK59(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f940,f544]) ).

fof(f5952,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK19 = tl(cons(hd(sK58(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f940,f543]) ).

fof(f5951,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK19 = tl(cons(hd(sK55(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f940,f534]) ).

fof(f5950,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK19 = tl(cons(hd(sK54(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f940,f533]) ).

fof(f5949,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK19 = tl(cons(hd(sK53(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f940,f532]) ).

fof(f5948,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK19 = tl(cons(hd(sK50(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f940,f522]) ).

fof(f5947,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK19 = tl(cons(hd(sK49(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f940,f521]) ).

fof(f5946,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK19 = tl(cons(hd(sK48(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f940,f520]) ).

fof(f5945,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK19 = tl(cons(hd(sK45(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f940,f510]) ).

fof(f5944,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK19 = tl(cons(hd(sK44(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f940,f509]) ).

fof(f5943,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK19 = tl(cons(hd(sK43(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f940,f508]) ).

fof(f5942,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK19 = tl(cons(hd(sK40(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f940,f498]) ).

fof(f5941,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK19 = tl(cons(hd(sK39(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f940,f497]) ).

fof(f5940,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK19 = tl(cons(hd(sK38(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f940,f496]) ).

fof(f5939,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK19 = tl(cons(hd(sK35(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f940,f487]) ).

fof(f5938,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK19 = tl(cons(hd(sK34(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f940,f486]) ).

fof(f5937,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK19 = tl(cons(hd(sK33(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f940,f485]) ).

fof(f5936,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK19 = tl(cons(hd(sK30(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f940,f476]) ).

fof(f5935,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK19 = tl(cons(hd(sK29(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f940,f475]) ).

fof(f5934,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK19 = tl(cons(hd(sK25(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f465]) ).

fof(f5932,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK19 = tl(cons(hd(sK22(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f457]) ).

fof(f5926,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK19 = tl(cons(hd(tl(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f461]) ).

fof(f5924,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK19 = tl(cons(hd(app(X0,X1)),sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f565]) ).

fof(f5977,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(hd(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f5917,f556]) ).

fof(f5917,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | sK19 = tl(cons(hd(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f940,f555]) ).

fof(f940,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK19 = tl(cons(hd(X0),sK19)) ),
    inference(resolution,[],[f891,f460]) ).

fof(f5909,plain,
    ! [X0] :
      ( app(app(sK64(X0,X0),X0),sK65(X0,X0)) = X0
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f5908]) ).

fof(f5908,plain,
    ! [X0] :
      ( app(app(sK64(X0,X0),X0),sK65(X0,X0)) = X0
      | ~ ssList(X0)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f579,f454]) ).

fof(f5913,plain,
    ! [X0] :
      ( app(app(sK64(X0,nil),nil),sK65(X0,nil)) = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f5910,f393]) ).

fof(f5910,plain,
    ! [X0] :
      ( app(app(sK64(X0,nil),nil),sK65(X0,nil)) = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f5907]) ).

fof(f5907,plain,
    ! [X0] :
      ( app(app(sK64(X0,nil),nil),sK65(X0,nil)) = X0
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f579,f450]) ).

fof(f5912,plain,
    nil = app(app(sK64(nil,nil),nil),sK65(nil,nil)),
    inference(subsumption_resolution,[],[f5911,f393]) ).

fof(f5911,plain,
    ( nil = app(app(sK64(nil,nil),nil),sK65(nil,nil))
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f5906]) ).

fof(f5906,plain,
    ( nil = app(app(sK64(nil,nil),nil),sK65(nil,nil))
    | ~ ssList(nil)
    | ~ ssList(nil) ),
    inference(resolution,[],[f579,f637]) ).

fof(f579,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f364]) ).

fof(f5780,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ memberP(X0,X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f5762,f565]) ).

fof(f5762,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(app(X0,X1))
      | ~ memberP(X0,X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f5761]) ).

fof(f5761,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(app(X0,X1))
      | ~ memberP(X0,X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f563,f447]) ).

fof(f5779,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f5763,f565]) ).

fof(f5763,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(app(X0,X1))
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f5760]) ).

fof(f5760,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(app(X0,X1))
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f563,f448]) ).

fof(f5770,plain,
    ! [X2,X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X2),cons(X2,sK62(cons(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f5767,f555]) ).

fof(f5767,plain,
    ! [X2,X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X2),cons(X2,sK62(cons(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(cons(X0,X1))
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f5754]) ).

fof(f5754,plain,
    ! [X2,X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X2),cons(X2,sK62(cons(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(cons(X0,X1))
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f563,f426]) ).

fof(f5769,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X0),cons(X0,sK62(cons(X0,X1),X0)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f5768,f555]) ).

fof(f5768,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X0),cons(X0,sK62(cons(X0,X1),X0)))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,X1))
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f5753]) ).

fof(f5753,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X0),cons(X0,sK62(cons(X0,X1),X0)))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f563,f633]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f354]) ).

fof(f5746,plain,
    ( ! [X0] :
        ( leq(X0,hd(sK19))
        | nil = app(sK19,sK19)
        | ~ sP0(app(sK19,sK19),X0) )
    | spl69_5 ),
    inference(superposition,[],[f434,f5692]) ).

fof(f5745,plain,
    ( ! [X0] :
        ( lt(X0,hd(sK19))
        | nil = app(sK19,sK19)
        | ~ sP2(app(sK19,sK19),X0) )
    | spl69_5 ),
    inference(superposition,[],[f442,f5692]) ).

fof(f5744,plain,
    ( ! [X0] :
        ( ~ leq(X0,hd(sK19))
        | sP0(app(sK19,sK19),X0)
        | ~ totalorderedP(app(sK19,sK19))
        | nil = app(sK19,sK19) )
    | spl69_5 ),
    inference(superposition,[],[f436,f5692]) ).

fof(f5743,plain,
    ( ! [X0] :
        ( ~ lt(X0,hd(sK19))
        | sP2(app(sK19,sK19),X0)
        | ~ strictorderedP(app(sK19,sK19))
        | nil = app(sK19,sK19) )
    | spl69_5 ),
    inference(superposition,[],[f444,f5692]) ).

fof(f5692,plain,
    ( hd(sK19) = hd(app(sK19,sK19))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f5628,f841]) ).

fof(f5628,plain,
    ( hd(sK19) = hd(app(sK19,sK19))
    | nil = sK19 ),
    inference(resolution,[],[f2537,f375]) ).

fof(f5667,plain,
    ! [X0,X1] :
      ( hd(sK66(X0,X1)) = hd(app(sK66(X0,X1),sK19))
      | nil = sK66(X0,X1)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2537,f581]) ).

fof(f5666,plain,
    ! [X0,X1] :
      ( hd(sK65(X0,X1)) = hd(app(sK65(X0,X1),sK19))
      | nil = sK65(X0,X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2537,f578]) ).

fof(f5665,plain,
    ! [X0,X1] :
      ( hd(sK64(X0,X1)) = hd(app(sK64(X0,X1),sK19))
      | nil = sK64(X0,X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2537,f577]) ).

fof(f5656,plain,
    ! [X0,X1] :
      ( hd(sK63(X0,X1)) = hd(app(sK63(X0,X1),sK19))
      | nil = sK63(X0,X1)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2537,f574]) ).

fof(f5655,plain,
    ! [X0,X1] :
      ( hd(sK62(X0,X1)) = hd(app(sK62(X0,X1),sK19))
      | nil = sK62(X0,X1)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2537,f562]) ).

fof(f5654,plain,
    ! [X0,X1] :
      ( hd(sK61(X0,X1)) = hd(app(sK61(X0,X1),sK19))
      | nil = sK61(X0,X1)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2537,f561]) ).

fof(f5653,plain,
    ! [X0] :
      ( hd(sK60(X0)) = hd(app(sK60(X0),sK19))
      | nil = sK60(X0)
      | sP16(X0) ),
    inference(resolution,[],[f2537,f545]) ).

fof(f5652,plain,
    ! [X0] :
      ( hd(sK59(X0)) = hd(app(sK59(X0),sK19))
      | nil = sK59(X0)
      | sP16(X0) ),
    inference(resolution,[],[f2537,f544]) ).

fof(f5651,plain,
    ! [X0] :
      ( hd(sK58(X0)) = hd(app(sK58(X0),sK19))
      | nil = sK58(X0)
      | sP16(X0) ),
    inference(resolution,[],[f2537,f543]) ).

fof(f5650,plain,
    ! [X0] :
      ( hd(sK55(X0)) = hd(app(sK55(X0),sK19))
      | nil = sK55(X0)
      | sP14(X0) ),
    inference(resolution,[],[f2537,f534]) ).

fof(f5649,plain,
    ! [X0] :
      ( hd(sK54(X0)) = hd(app(sK54(X0),sK19))
      | nil = sK54(X0)
      | sP14(X0) ),
    inference(resolution,[],[f2537,f533]) ).

fof(f5648,plain,
    ! [X0] :
      ( hd(sK53(X0)) = hd(app(sK53(X0),sK19))
      | nil = sK53(X0)
      | sP14(X0) ),
    inference(resolution,[],[f2537,f532]) ).

fof(f5647,plain,
    ! [X0] :
      ( hd(sK50(X0)) = hd(app(sK50(X0),sK19))
      | nil = sK50(X0)
      | sP12(X0) ),
    inference(resolution,[],[f2537,f522]) ).

fof(f5646,plain,
    ! [X0] :
      ( hd(sK49(X0)) = hd(app(sK49(X0),sK19))
      | nil = sK49(X0)
      | sP12(X0) ),
    inference(resolution,[],[f2537,f521]) ).

fof(f5645,plain,
    ! [X0] :
      ( hd(sK48(X0)) = hd(app(sK48(X0),sK19))
      | nil = sK48(X0)
      | sP12(X0) ),
    inference(resolution,[],[f2537,f520]) ).

fof(f5644,plain,
    ! [X0] :
      ( hd(sK45(X0)) = hd(app(sK45(X0),sK19))
      | nil = sK45(X0)
      | sP10(X0) ),
    inference(resolution,[],[f2537,f510]) ).

fof(f5643,plain,
    ! [X0] :
      ( hd(sK44(X0)) = hd(app(sK44(X0),sK19))
      | nil = sK44(X0)
      | sP10(X0) ),
    inference(resolution,[],[f2537,f509]) ).

fof(f5642,plain,
    ! [X0] :
      ( hd(sK43(X0)) = hd(app(sK43(X0),sK19))
      | nil = sK43(X0)
      | sP10(X0) ),
    inference(resolution,[],[f2537,f508]) ).

fof(f5641,plain,
    ! [X0] :
      ( hd(sK40(X0)) = hd(app(sK40(X0),sK19))
      | nil = sK40(X0)
      | sP8(X0) ),
    inference(resolution,[],[f2537,f498]) ).

fof(f5640,plain,
    ! [X0] :
      ( hd(sK39(X0)) = hd(app(sK39(X0),sK19))
      | nil = sK39(X0)
      | sP8(X0) ),
    inference(resolution,[],[f2537,f497]) ).

fof(f5639,plain,
    ! [X0] :
      ( hd(sK38(X0)) = hd(app(sK38(X0),sK19))
      | nil = sK38(X0)
      | sP8(X0) ),
    inference(resolution,[],[f2537,f496]) ).

fof(f5638,plain,
    ! [X0] :
      ( hd(sK35(X0)) = hd(app(sK35(X0),sK19))
      | nil = sK35(X0)
      | sP6(X0) ),
    inference(resolution,[],[f2537,f487]) ).

fof(f5637,plain,
    ! [X0] :
      ( hd(sK34(X0)) = hd(app(sK34(X0),sK19))
      | nil = sK34(X0)
      | sP6(X0) ),
    inference(resolution,[],[f2537,f486]) ).

fof(f5636,plain,
    ! [X0] :
      ( hd(sK33(X0)) = hd(app(sK33(X0),sK19))
      | nil = sK33(X0)
      | sP6(X0) ),
    inference(resolution,[],[f2537,f485]) ).

fof(f5635,plain,
    ! [X0] :
      ( hd(sK30(X0)) = hd(app(sK30(X0),sK19))
      | nil = sK30(X0)
      | sP4(X0) ),
    inference(resolution,[],[f2537,f476]) ).

fof(f5634,plain,
    ! [X0] :
      ( hd(sK29(X0)) = hd(app(sK29(X0),sK19))
      | nil = sK29(X0)
      | sP4(X0) ),
    inference(resolution,[],[f2537,f475]) ).

fof(f5633,plain,
    ! [X0] :
      ( hd(sK25(X0)) = hd(app(sK25(X0),sK19))
      | nil = sK25(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2537,f465]) ).

fof(f5631,plain,
    ! [X0] :
      ( hd(sK22(X0)) = hd(app(sK22(X0),sK19))
      | nil = sK22(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2537,f457]) ).

fof(f5699,plain,
    ( hd(sK19) = hd(app(sK19,sK19))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f5698,f841]) ).

fof(f5698,plain,
    ( nil = sK19
    | hd(sK19) = hd(app(sK19,sK19)) ),
    inference(forward_demodulation,[],[f5697,f378]) ).

fof(f5697,plain,
    ( hd(sK19) = hd(app(sK19,sK19))
    | nil = sK21 ),
    inference(forward_demodulation,[],[f5630,f378]) ).

fof(f5630,plain,
    ( hd(sK21) = hd(app(sK21,sK19))
    | nil = sK21 ),
    inference(resolution,[],[f2537,f377]) ).

fof(f5625,plain,
    ! [X0] :
      ( hd(tl(X0)) = hd(app(tl(X0),sK19))
      | nil = tl(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2537,f461]) ).

fof(f5623,plain,
    ! [X0,X1] :
      ( hd(app(X0,X1)) = hd(app(app(X0,X1),sK19))
      | nil = app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2537,f565]) ).

fof(f5676,plain,
    ! [X0,X1] :
      ( hd(cons(X0,X1)) = hd(app(cons(X0,X1),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f5616,f556]) ).

fof(f5616,plain,
    ! [X0,X1] :
      ( hd(cons(X0,X1)) = hd(app(cons(X0,X1),sK19))
      | nil = cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f2537,f555]) ).

fof(f2537,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | hd(X0) = hd(app(X0,sK19))
      | nil = X0 ),
    inference(resolution,[],[f566,f375]) ).

fof(f1254,plain,
    ! [X0] :
      ( sP4(X0)
      | nil = tl(cons(sK28(X0),nil)) ),
    inference(resolution,[],[f888,f474]) ).

fof(f5611,plain,
    ! [X0] :
      ( app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f546,f653]) ).

fof(f546,plain,
    ! [X0] :
      ( sP16(X0)
      | app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0 ),
    inference(cnf_transformation,[],[f346]) ).

fof(f1253,plain,
    ! [X0] :
      ( sP4(X0)
      | nil = tl(cons(sK27(X0),nil)) ),
    inference(resolution,[],[f888,f473]) ).

fof(f5565,plain,
    ! [X0] :
      ( app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f535,f651]) ).

fof(f535,plain,
    ! [X0] :
      ( sP14(X0)
      | app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0 ),
    inference(cnf_transformation,[],[f337]) ).

fof(f523,plain,
    ! [X0] :
      ( sP12(X0)
      | app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0 ),
    inference(cnf_transformation,[],[f328]) ).

fof(f511,plain,
    ! [X0] :
      ( sP10(X0)
      | app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0 ),
    inference(cnf_transformation,[],[f319]) ).

fof(f499,plain,
    ! [X0] :
      ( sP8(X0)
      | app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0 ),
    inference(cnf_transformation,[],[f310]) ).

fof(f5231,plain,
    ! [X0,X1] :
      ( sK66(X0,X1) = app(nil,sK66(sK66(X0,X1),nil))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2625,f581]) ).

fof(f5230,plain,
    ! [X0,X1] :
      ( sK65(X0,X1) = app(nil,sK66(sK65(X0,X1),nil))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2625,f578]) ).

fof(f5229,plain,
    ! [X0,X1] :
      ( sK64(X0,X1) = app(nil,sK66(sK64(X0,X1),nil))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2625,f577]) ).

fof(f5220,plain,
    ! [X0,X1] :
      ( sK63(X0,X1) = app(nil,sK66(sK63(X0,X1),nil))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2625,f574]) ).

fof(f5219,plain,
    ! [X0,X1] :
      ( sK62(X0,X1) = app(nil,sK66(sK62(X0,X1),nil))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2625,f562]) ).

fof(f5218,plain,
    ! [X0,X1] :
      ( sK61(X0,X1) = app(nil,sK66(sK61(X0,X1),nil))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2625,f561]) ).

fof(f5217,plain,
    ! [X0] :
      ( sK60(X0) = app(nil,sK66(sK60(X0),nil))
      | sP16(X0) ),
    inference(resolution,[],[f2625,f545]) ).

fof(f5216,plain,
    ! [X0] :
      ( sK59(X0) = app(nil,sK66(sK59(X0),nil))
      | sP16(X0) ),
    inference(resolution,[],[f2625,f544]) ).

fof(f5215,plain,
    ! [X0] :
      ( sK58(X0) = app(nil,sK66(sK58(X0),nil))
      | sP16(X0) ),
    inference(resolution,[],[f2625,f543]) ).

fof(f5214,plain,
    ! [X0] :
      ( sK55(X0) = app(nil,sK66(sK55(X0),nil))
      | sP14(X0) ),
    inference(resolution,[],[f2625,f534]) ).

fof(f5213,plain,
    ! [X0] :
      ( sK54(X0) = app(nil,sK66(sK54(X0),nil))
      | sP14(X0) ),
    inference(resolution,[],[f2625,f533]) ).

fof(f5212,plain,
    ! [X0] :
      ( sK53(X0) = app(nil,sK66(sK53(X0),nil))
      | sP14(X0) ),
    inference(resolution,[],[f2625,f532]) ).

fof(f5211,plain,
    ! [X0] :
      ( sK50(X0) = app(nil,sK66(sK50(X0),nil))
      | sP12(X0) ),
    inference(resolution,[],[f2625,f522]) ).

fof(f5210,plain,
    ! [X0] :
      ( sK49(X0) = app(nil,sK66(sK49(X0),nil))
      | sP12(X0) ),
    inference(resolution,[],[f2625,f521]) ).

fof(f5209,plain,
    ! [X0] :
      ( sK48(X0) = app(nil,sK66(sK48(X0),nil))
      | sP12(X0) ),
    inference(resolution,[],[f2625,f520]) ).

fof(f5208,plain,
    ! [X0] :
      ( sK45(X0) = app(nil,sK66(sK45(X0),nil))
      | sP10(X0) ),
    inference(resolution,[],[f2625,f510]) ).

fof(f5207,plain,
    ! [X0] :
      ( sK44(X0) = app(nil,sK66(sK44(X0),nil))
      | sP10(X0) ),
    inference(resolution,[],[f2625,f509]) ).

fof(f5206,plain,
    ! [X0] :
      ( sK43(X0) = app(nil,sK66(sK43(X0),nil))
      | sP10(X0) ),
    inference(resolution,[],[f2625,f508]) ).

fof(f5205,plain,
    ! [X0] :
      ( sK40(X0) = app(nil,sK66(sK40(X0),nil))
      | sP8(X0) ),
    inference(resolution,[],[f2625,f498]) ).

fof(f5204,plain,
    ! [X0] :
      ( sK39(X0) = app(nil,sK66(sK39(X0),nil))
      | sP8(X0) ),
    inference(resolution,[],[f2625,f497]) ).

fof(f5203,plain,
    ! [X0] :
      ( sK38(X0) = app(nil,sK66(sK38(X0),nil))
      | sP8(X0) ),
    inference(resolution,[],[f2625,f496]) ).

fof(f5202,plain,
    ! [X0] :
      ( sK35(X0) = app(nil,sK66(sK35(X0),nil))
      | sP6(X0) ),
    inference(resolution,[],[f2625,f487]) ).

fof(f5201,plain,
    ! [X0] :
      ( sK34(X0) = app(nil,sK66(sK34(X0),nil))
      | sP6(X0) ),
    inference(resolution,[],[f2625,f486]) ).

fof(f5200,plain,
    ! [X0] :
      ( sK33(X0) = app(nil,sK66(sK33(X0),nil))
      | sP6(X0) ),
    inference(resolution,[],[f2625,f485]) ).

fof(f5199,plain,
    ! [X0] :
      ( sK30(X0) = app(nil,sK66(sK30(X0),nil))
      | sP4(X0) ),
    inference(resolution,[],[f2625,f476]) ).

fof(f5198,plain,
    ! [X0] :
      ( sK29(X0) = app(nil,sK66(sK29(X0),nil))
      | sP4(X0) ),
    inference(resolution,[],[f2625,f475]) ).

fof(f5197,plain,
    ! [X0] :
      ( sK25(X0) = app(nil,sK66(sK25(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2625,f465]) ).

fof(f5195,plain,
    ! [X0] :
      ( sK22(X0) = app(nil,sK66(sK22(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2625,f457]) ).

fof(f5189,plain,
    ! [X0] :
      ( tl(X0) = app(nil,sK66(tl(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2625,f461]) ).

fof(f5187,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(nil,sK66(app(X0,X1),nil))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2625,f565]) ).

fof(f5180,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(nil,sK66(cons(X0,X1),nil))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f2625,f555]) ).

fof(f2625,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,sK66(X0,nil)) = X0 ),
    inference(subsumption_resolution,[],[f2623,f393]) ).

fof(f2623,plain,
    ! [X0] :
      ( app(nil,sK66(X0,nil)) = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f2613]) ).

fof(f2613,plain,
    ! [X0] :
      ( app(nil,sK66(X0,nil)) = X0
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f582,f452]) ).

fof(f5139,plain,
    ! [X0,X1] :
      ( sK66(X0,X1) = app(sK66(X0,X1),sK66(sK66(X0,X1),sK66(X0,X1)))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2624,f581]) ).

fof(f5138,plain,
    ! [X0,X1] :
      ( sK65(X0,X1) = app(sK65(X0,X1),sK66(sK65(X0,X1),sK65(X0,X1)))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2624,f578]) ).

fof(f5137,plain,
    ! [X0,X1] :
      ( sK64(X0,X1) = app(sK64(X0,X1),sK66(sK64(X0,X1),sK64(X0,X1)))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2624,f577]) ).

fof(f5128,plain,
    ! [X0,X1] :
      ( sK63(X0,X1) = app(sK63(X0,X1),sK66(sK63(X0,X1),sK63(X0,X1)))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2624,f574]) ).

fof(f5127,plain,
    ! [X0,X1] :
      ( sK62(X0,X1) = app(sK62(X0,X1),sK66(sK62(X0,X1),sK62(X0,X1)))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2624,f562]) ).

fof(f5126,plain,
    ! [X0,X1] :
      ( sK61(X0,X1) = app(sK61(X0,X1),sK66(sK61(X0,X1),sK61(X0,X1)))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2624,f561]) ).

fof(f5125,plain,
    ! [X0] :
      ( sK60(X0) = app(sK60(X0),sK66(sK60(X0),sK60(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f2624,f545]) ).

fof(f5124,plain,
    ! [X0] :
      ( sK59(X0) = app(sK59(X0),sK66(sK59(X0),sK59(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f2624,f544]) ).

fof(f5123,plain,
    ! [X0] :
      ( sK58(X0) = app(sK58(X0),sK66(sK58(X0),sK58(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f2624,f543]) ).

fof(f5122,plain,
    ! [X0] :
      ( sK55(X0) = app(sK55(X0),sK66(sK55(X0),sK55(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f2624,f534]) ).

fof(f5121,plain,
    ! [X0] :
      ( sK54(X0) = app(sK54(X0),sK66(sK54(X0),sK54(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f2624,f533]) ).

fof(f5120,plain,
    ! [X0] :
      ( sK53(X0) = app(sK53(X0),sK66(sK53(X0),sK53(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f2624,f532]) ).

fof(f5119,plain,
    ! [X0] :
      ( sK50(X0) = app(sK50(X0),sK66(sK50(X0),sK50(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f2624,f522]) ).

fof(f5118,plain,
    ! [X0] :
      ( sK49(X0) = app(sK49(X0),sK66(sK49(X0),sK49(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f2624,f521]) ).

fof(f5117,plain,
    ! [X0] :
      ( sK48(X0) = app(sK48(X0),sK66(sK48(X0),sK48(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f2624,f520]) ).

fof(f5116,plain,
    ! [X0] :
      ( sK45(X0) = app(sK45(X0),sK66(sK45(X0),sK45(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f2624,f510]) ).

fof(f5115,plain,
    ! [X0] :
      ( sK44(X0) = app(sK44(X0),sK66(sK44(X0),sK44(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f2624,f509]) ).

fof(f5114,plain,
    ! [X0] :
      ( sK43(X0) = app(sK43(X0),sK66(sK43(X0),sK43(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f2624,f508]) ).

fof(f5113,plain,
    ! [X0] :
      ( sK40(X0) = app(sK40(X0),sK66(sK40(X0),sK40(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f2624,f498]) ).

fof(f5112,plain,
    ! [X0] :
      ( sK39(X0) = app(sK39(X0),sK66(sK39(X0),sK39(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f2624,f497]) ).

fof(f5111,plain,
    ! [X0] :
      ( sK38(X0) = app(sK38(X0),sK66(sK38(X0),sK38(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f2624,f496]) ).

fof(f5110,plain,
    ! [X0] :
      ( sK35(X0) = app(sK35(X0),sK66(sK35(X0),sK35(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f2624,f487]) ).

fof(f5109,plain,
    ! [X0] :
      ( sK34(X0) = app(sK34(X0),sK66(sK34(X0),sK34(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f2624,f486]) ).

fof(f5108,plain,
    ! [X0] :
      ( sK33(X0) = app(sK33(X0),sK66(sK33(X0),sK33(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f2624,f485]) ).

fof(f5107,plain,
    ! [X0] :
      ( sK30(X0) = app(sK30(X0),sK66(sK30(X0),sK30(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f2624,f476]) ).

fof(f5106,plain,
    ! [X0] :
      ( sK29(X0) = app(sK29(X0),sK66(sK29(X0),sK29(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f2624,f475]) ).

fof(f5105,plain,
    ! [X0] :
      ( sK25(X0) = app(sK25(X0),sK66(sK25(X0),sK25(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2624,f465]) ).

fof(f5103,plain,
    ! [X0] :
      ( sK22(X0) = app(sK22(X0),sK66(sK22(X0),sK22(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2624,f457]) ).

fof(f5097,plain,
    ! [X0] :
      ( tl(X0) = app(tl(X0),sK66(tl(X0),tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2624,f461]) ).

fof(f5095,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(app(X0,X1),sK66(app(X0,X1),app(X0,X1)))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2624,f565]) ).

fof(f5088,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,X1),sK66(cons(X0,X1),cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f2624,f555]) ).

fof(f2624,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,sK66(X0,X0)) = X0 ),
    inference(duplicate_literal_removal,[],[f2612]) ).

fof(f2612,plain,
    ! [X0] :
      ( app(X0,sK66(X0,X0)) = X0
      | ~ ssList(X0)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f582,f451]) ).

fof(f488,plain,
    ! [X0] :
      ( sP6(X0)
      | app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0 ),
    inference(cnf_transformation,[],[f301]) ).

fof(f428,plain,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(cons(X0,X2),cons(X1,X3))
      | frontsegP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f263]) ).

fof(f263,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                      | ~ frontsegP(X2,X3)
                      | X0 != X1 )
                    & ( ( frontsegP(X2,X3)
                        & X0 = X1 )
                      | ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f262]) ).

fof(f262,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                      | ~ frontsegP(X2,X3)
                      | X0 != X1 )
                    & ( ( frontsegP(X2,X3)
                        & X0 = X1 )
                      | ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                  <=> ( frontsegP(X2,X3)
                      & X0 = X1 ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( frontsegP(cons(X0,X2),cons(X1,X3))
                  <=> ( frontsegP(X2,X3)
                      & X0 = X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).

fof(f427,plain,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(cons(X0,X2),cons(X1,X3))
      | X0 = X1
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f263]) ).

fof(f4669,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK66(X2,X3)) = app(X0,app(X1,sK66(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f590,f581]) ).

fof(f4668,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK65(X2,X3)) = app(X0,app(X1,sK65(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f590,f578]) ).

fof(f4667,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK64(X2,X3)) = app(X0,app(X1,sK64(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f590,f577]) ).

fof(f4662,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK63(X2,X3)) = app(X0,app(X1,sK63(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ rearsegP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f590,f574]) ).

fof(f4661,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK62(X2,X3)) = app(X0,app(X1,sK62(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ memberP(X2,X3)
      | ~ ssItem(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f590,f562]) ).

fof(f4660,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK61(X2,X3)) = app(X0,app(X1,sK61(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ memberP(X2,X3)
      | ~ ssItem(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f590,f561]) ).

fof(f4659,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK60(X2)) = app(X0,app(X1,sK60(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP16(X2) ),
    inference(resolution,[],[f590,f545]) ).

fof(f4658,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK59(X2)) = app(X0,app(X1,sK59(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP16(X2) ),
    inference(resolution,[],[f590,f544]) ).

fof(f4657,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK58(X2)) = app(X0,app(X1,sK58(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP16(X2) ),
    inference(resolution,[],[f590,f543]) ).

fof(f4656,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK55(X2)) = app(X0,app(X1,sK55(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP14(X2) ),
    inference(resolution,[],[f590,f534]) ).

fof(f4655,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK54(X2)) = app(X0,app(X1,sK54(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP14(X2) ),
    inference(resolution,[],[f590,f533]) ).

fof(f4654,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK53(X2)) = app(X0,app(X1,sK53(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP14(X2) ),
    inference(resolution,[],[f590,f532]) ).

fof(f4653,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK50(X2)) = app(X0,app(X1,sK50(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP12(X2) ),
    inference(resolution,[],[f590,f522]) ).

fof(f4652,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK49(X2)) = app(X0,app(X1,sK49(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP12(X2) ),
    inference(resolution,[],[f590,f521]) ).

fof(f4651,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK48(X2)) = app(X0,app(X1,sK48(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP12(X2) ),
    inference(resolution,[],[f590,f520]) ).

fof(f4650,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK45(X2)) = app(X0,app(X1,sK45(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP10(X2) ),
    inference(resolution,[],[f590,f510]) ).

fof(f4649,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK44(X2)) = app(X0,app(X1,sK44(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP10(X2) ),
    inference(resolution,[],[f590,f509]) ).

fof(f4648,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK43(X2)) = app(X0,app(X1,sK43(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP10(X2) ),
    inference(resolution,[],[f590,f508]) ).

fof(f4647,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK40(X2)) = app(X0,app(X1,sK40(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP8(X2) ),
    inference(resolution,[],[f590,f498]) ).

fof(f4646,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK39(X2)) = app(X0,app(X1,sK39(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP8(X2) ),
    inference(resolution,[],[f590,f497]) ).

fof(f4645,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK38(X2)) = app(X0,app(X1,sK38(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP8(X2) ),
    inference(resolution,[],[f590,f496]) ).

fof(f4644,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK35(X2)) = app(X0,app(X1,sK35(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP6(X2) ),
    inference(resolution,[],[f590,f487]) ).

fof(f4643,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK34(X2)) = app(X0,app(X1,sK34(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP6(X2) ),
    inference(resolution,[],[f590,f486]) ).

fof(f4642,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK33(X2)) = app(X0,app(X1,sK33(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP6(X2) ),
    inference(resolution,[],[f590,f485]) ).

fof(f4641,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK30(X2)) = app(X0,app(X1,sK30(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP4(X2) ),
    inference(resolution,[],[f590,f476]) ).

fof(f4640,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK29(X2)) = app(X0,app(X1,sK29(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP4(X2) ),
    inference(resolution,[],[f590,f475]) ).

fof(f4639,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK25(X2)) = app(X0,app(X1,sK25(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X2
      | ~ ssList(X2) ),
    inference(resolution,[],[f590,f465]) ).

fof(f4637,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK22(X2)) = app(X0,app(X1,sK22(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X2
      | ~ ssList(X2) ),
    inference(resolution,[],[f590,f457]) ).

fof(f4676,plain,
    ! [X0,X1] :
      ( app(app(X0,X1),sK19) = app(X0,app(X1,sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f4636,f378]) ).

fof(f4636,plain,
    ! [X0,X1] :
      ( app(app(X0,X1),sK21) = app(X0,app(X1,sK21))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f590,f377]) ).

fof(f4634,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | app(app(X0,X1),sK19) = app(X0,app(X1,sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f590,f375]) ).

fof(f4631,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),tl(X2)) = app(X0,app(X1,tl(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X2
      | ~ ssList(X2) ),
    inference(resolution,[],[f590,f461]) ).

fof(f4630,plain,
    ! [X0,X1] :
      ( app(app(X0,X1),nil) = app(X0,app(X1,nil))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f590,f393]) ).

fof(f4629,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),app(X2,X3)) = app(X0,app(X1,app(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f590,f565]) ).

fof(f4622,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),cons(X2,X3)) = app(X0,app(X1,cons(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | ~ ssList(X3) ),
    inference(resolution,[],[f590,f555]) ).

fof(f590,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | app(app(X0,X1),X2) = app(X0,app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(f4599,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK66(X1,X2),X3)) = app(cons(X0,sK66(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ frontsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f581]) ).

fof(f4598,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK65(X1,X2),X3)) = app(cons(X0,sK65(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f578]) ).

fof(f4597,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK64(X1,X2),X3)) = app(cons(X0,sK64(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f577]) ).

fof(f4592,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK63(X1,X2),X3)) = app(cons(X0,sK63(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ rearsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f574]) ).

fof(f4591,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK62(X1,X2),X3)) = app(cons(X0,sK62(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f562]) ).

fof(f4590,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK61(X1,X2),X3)) = app(cons(X0,sK61(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f561]) ).

fof(f4589,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK60(X1),X2)) = app(cons(X0,sK60(X1)),X2)
      | ~ ssList(X2)
      | sP16(X1) ),
    inference(resolution,[],[f587,f545]) ).

fof(f4588,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK59(X1),X2)) = app(cons(X0,sK59(X1)),X2)
      | ~ ssList(X2)
      | sP16(X1) ),
    inference(resolution,[],[f587,f544]) ).

fof(f4587,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK58(X1),X2)) = app(cons(X0,sK58(X1)),X2)
      | ~ ssList(X2)
      | sP16(X1) ),
    inference(resolution,[],[f587,f543]) ).

fof(f4586,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK55(X1),X2)) = app(cons(X0,sK55(X1)),X2)
      | ~ ssList(X2)
      | sP14(X1) ),
    inference(resolution,[],[f587,f534]) ).

fof(f4585,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK54(X1),X2)) = app(cons(X0,sK54(X1)),X2)
      | ~ ssList(X2)
      | sP14(X1) ),
    inference(resolution,[],[f587,f533]) ).

fof(f4584,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK53(X1),X2)) = app(cons(X0,sK53(X1)),X2)
      | ~ ssList(X2)
      | sP14(X1) ),
    inference(resolution,[],[f587,f532]) ).

fof(f4583,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK50(X1),X2)) = app(cons(X0,sK50(X1)),X2)
      | ~ ssList(X2)
      | sP12(X1) ),
    inference(resolution,[],[f587,f522]) ).

fof(f4582,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK49(X1),X2)) = app(cons(X0,sK49(X1)),X2)
      | ~ ssList(X2)
      | sP12(X1) ),
    inference(resolution,[],[f587,f521]) ).

fof(f4581,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK48(X1),X2)) = app(cons(X0,sK48(X1)),X2)
      | ~ ssList(X2)
      | sP12(X1) ),
    inference(resolution,[],[f587,f520]) ).

fof(f4580,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK45(X1),X2)) = app(cons(X0,sK45(X1)),X2)
      | ~ ssList(X2)
      | sP10(X1) ),
    inference(resolution,[],[f587,f510]) ).

fof(f4579,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK44(X1),X2)) = app(cons(X0,sK44(X1)),X2)
      | ~ ssList(X2)
      | sP10(X1) ),
    inference(resolution,[],[f587,f509]) ).

fof(f4578,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK43(X1),X2)) = app(cons(X0,sK43(X1)),X2)
      | ~ ssList(X2)
      | sP10(X1) ),
    inference(resolution,[],[f587,f508]) ).

fof(f4577,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK40(X1),X2)) = app(cons(X0,sK40(X1)),X2)
      | ~ ssList(X2)
      | sP8(X1) ),
    inference(resolution,[],[f587,f498]) ).

fof(f4576,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK39(X1),X2)) = app(cons(X0,sK39(X1)),X2)
      | ~ ssList(X2)
      | sP8(X1) ),
    inference(resolution,[],[f587,f497]) ).

fof(f4575,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK38(X1),X2)) = app(cons(X0,sK38(X1)),X2)
      | ~ ssList(X2)
      | sP8(X1) ),
    inference(resolution,[],[f587,f496]) ).

fof(f4574,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK35(X1),X2)) = app(cons(X0,sK35(X1)),X2)
      | ~ ssList(X2)
      | sP6(X1) ),
    inference(resolution,[],[f587,f487]) ).

fof(f4573,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK34(X1),X2)) = app(cons(X0,sK34(X1)),X2)
      | ~ ssList(X2)
      | sP6(X1) ),
    inference(resolution,[],[f587,f486]) ).

fof(f4572,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK33(X1),X2)) = app(cons(X0,sK33(X1)),X2)
      | ~ ssList(X2)
      | sP6(X1) ),
    inference(resolution,[],[f587,f485]) ).

fof(f4571,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK30(X1),X2)) = app(cons(X0,sK30(X1)),X2)
      | ~ ssList(X2)
      | sP4(X1) ),
    inference(resolution,[],[f587,f476]) ).

fof(f4570,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK29(X1),X2)) = app(cons(X0,sK29(X1)),X2)
      | ~ ssList(X2)
      | sP4(X1) ),
    inference(resolution,[],[f587,f475]) ).

fof(f4569,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK25(X1),X2)) = app(cons(X0,sK25(X1)),X2)
      | ~ ssList(X2)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f465]) ).

fof(f4567,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK22(X1),X2)) = app(cons(X0,sK22(X1)),X2)
      | ~ ssList(X2)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f457]) ).

fof(f4606,plain,
    ! [X0,X1] :
      ( cons(X0,app(sK19,X1)) = app(cons(X0,sK19),X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(forward_demodulation,[],[f4566,f378]) ).

fof(f4566,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK21,X1)) = app(cons(X0,sK21),X1)
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f377]) ).

fof(f4564,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | cons(X0,app(sK19,X1)) = app(cons(X0,sK19),X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f587,f375]) ).

fof(f4561,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(tl(X1),X2)) = app(cons(X0,tl(X1)),X2)
      | ~ ssList(X2)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f461]) ).

fof(f4560,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | app(cons(X0,nil),X1) = cons(X0,app(nil,X1))
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f393]) ).

fof(f4559,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(app(X1,X2),X3)) = app(cons(X0,app(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f587,f565]) ).

fof(f4552,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(cons(X1,X2),X3)) = app(cons(X0,cons(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f587,f555]) ).

fof(f587,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X2)
      | cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f203,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f446,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X1,X2),X0)
      | memberP(X1,X0)
      | memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f273,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) )
                & ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f272]) ).

fof(f272,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) )
                & ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

fof(f4215,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4214,f393]) ).

fof(f4214,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4107,f375]) ).

fof(f4107,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(sK19)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f594,f687]) ).

fof(f4192,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4191,f375]) ).

fof(f4191,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4097,f393]) ).

fof(f4097,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(nil)
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(superposition,[],[f594,f660]) ).

fof(f424,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X1,X2),X0)
      | X0 = X1
      | memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f261]) ).

fof(f261,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) )
                & ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f260]) ).

fof(f260,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) )
                & ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(f4365,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = cons(X2,X1)
      | ~ frontsegP(cons(X2,X1),cons(X2,X0)) ),
    inference(subsumption_resolution,[],[f4364,f555]) ).

fof(f4364,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = cons(X2,X1)
      | ~ frontsegP(cons(X2,X1),cons(X2,X0))
      | ~ ssList(cons(X2,X1)) ),
    inference(subsumption_resolution,[],[f4353,f555]) ).

fof(f4353,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = cons(X2,X1)
      | ~ frontsegP(cons(X2,X1),cons(X2,X0))
      | ~ ssList(cons(X2,X0))
      | ~ ssList(cons(X2,X1)) ),
    inference(resolution,[],[f632,f571]) ).

fof(f4363,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = app(cons(X2,X1),sK66(cons(X2,X0),cons(X2,X1))) ),
    inference(subsumption_resolution,[],[f4362,f555]) ).

fof(f4362,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = app(cons(X2,X1),sK66(cons(X2,X0),cons(X2,X1)))
      | ~ ssList(cons(X2,X0)) ),
    inference(subsumption_resolution,[],[f4352,f555]) ).

fof(f4352,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = app(cons(X2,X1),sK66(cons(X2,X0),cons(X2,X1)))
      | ~ ssList(cons(X2,X1))
      | ~ ssList(cons(X2,X0)) ),
    inference(resolution,[],[f632,f582]) ).

fof(f4361,plain,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | frontsegP(X3,cons(X2,X1))
      | ~ frontsegP(X3,cons(X2,X0))
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f4360,f555]) ).

fof(f4360,plain,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | frontsegP(X3,cons(X2,X1))
      | ~ frontsegP(X3,cons(X2,X0))
      | ~ ssList(cons(X2,X0))
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f4351,f555]) ).

fof(f4351,plain,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | frontsegP(X3,cons(X2,X1))
      | ~ frontsegP(X3,cons(X2,X0))
      | ~ ssList(cons(X2,X1))
      | ~ ssList(cons(X2,X0))
      | ~ ssList(X3) ),
    inference(resolution,[],[f632,f597]) ).

fof(f632,plain,
    ! [X2,X3,X1] :
      ( frontsegP(cons(X1,X2),cons(X1,X3))
      | ~ frontsegP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f605]) ).

fof(f605,plain,
    ! [X2,X3,X1] :
      ( frontsegP(cons(X1,X2),cons(X1,X3))
      | ~ frontsegP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f429]) ).

fof(f429,plain,
    ! [X2,X3,X0,X1] :
      ( frontsegP(cons(X0,X2),cons(X1,X3))
      | ~ frontsegP(X2,X3)
      | X0 != X1
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f263]) ).

fof(f3873,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3872,f375]) ).

fof(f3872,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3767,f393]) ).

fof(f3767,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(nil)
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(superposition,[],[f593,f687]) ).

fof(f3850,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3849,f393]) ).

fof(f3849,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3758,f375]) ).

fof(f3758,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(sK19)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f593,f660]) ).

fof(f4319,plain,
    ! [X0] :
      ( nil != app(nil,X0)
      | sK66(nil,nil) = X0
      | ~ ssList(X0)
      | ~ ssList(sK66(nil,nil)) ),
    inference(subsumption_resolution,[],[f4155,f393]) ).

fof(f4155,plain,
    ! [X0] :
      ( nil != app(nil,X0)
      | sK66(nil,nil) = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(sK66(nil,nil)) ),
    inference(superposition,[],[f594,f2633]) ).

fof(f4296,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4295,f375]) ).

fof(f4295,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(subsumption_resolution,[],[f4145,f393]) ).

fof(f4145,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(sK19) ),
    inference(superposition,[],[f594,f687]) ).

fof(f4273,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4272,f393]) ).

fof(f4272,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f4135,f375]) ).

fof(f4135,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(sK19)
      | ~ ssList(nil) ),
    inference(superposition,[],[f594,f660]) ).

fof(f4238,plain,
    ! [X0] :
      ( nil != app(nil,X0)
      | sK66(nil,nil) = X0
      | ~ ssList(sK66(nil,nil))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4117,f393]) ).

fof(f4117,plain,
    ! [X0] :
      ( nil != app(nil,X0)
      | sK66(nil,nil) = X0
      | ~ ssList(sK66(nil,nil))
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f594,f2633]) ).

fof(f594,plain,
    ! [X2,X0,X1] :
      ( app(X1,X2) != app(X1,X0)
      | X0 = X2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X1,X2) != app(X1,X0)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f213]) ).

fof(f213,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X1,X2) != app(X1,X0)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( app(X1,X2) = app(X1,X0)
               => X0 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

fof(f3950,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3949,f393]) ).

fof(f3949,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f3803,f375]) ).

fof(f3803,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(sK19)
      | ~ ssList(nil) ),
    inference(superposition,[],[f593,f687]) ).

fof(f3932,plain,
    ! [X0] :
      ( nil != app(X0,nil)
      | sK63(nil,nil) = X0
      | ~ ssList(X0)
      | ~ ssList(sK63(nil,nil)) ),
    inference(subsumption_resolution,[],[f3796,f393]) ).

fof(f3796,plain,
    ! [X0] :
      ( nil != app(X0,nil)
      | sK63(nil,nil) = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(sK63(nil,nil)) ),
    inference(superposition,[],[f593,f2590]) ).

fof(f3927,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3926,f375]) ).

fof(f3926,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(subsumption_resolution,[],[f3794,f393]) ).

fof(f3794,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(sK19) ),
    inference(superposition,[],[f593,f660]) ).

fof(f3855,plain,
    ! [X0] :
      ( nil != app(X0,nil)
      | sK63(nil,nil) = X0
      | ~ ssList(sK63(nil,nil))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3760,f393]) ).

fof(f3760,plain,
    ! [X0] :
      ( nil != app(X0,nil)
      | sK63(nil,nil) = X0
      | ~ ssList(sK63(nil,nil))
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f593,f2590]) ).

fof(f593,plain,
    ! [X2,X0,X1] :
      ( app(X2,X1) != app(X0,X1)
      | X0 = X2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X2,X1) != app(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f211]) ).

fof(f211,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X2,X1) != app(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( app(X2,X1) = app(X0,X1)
               => X0 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

fof(f3657,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK66(X1,X2))) = app(tl(X0),sK66(X1,X2))
      | ~ ssList(X0)
      | ~ frontsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f581]) ).

fof(f3656,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK65(X1,X2))) = app(tl(X0),sK65(X1,X2))
      | ~ ssList(X0)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f578]) ).

fof(f3655,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK64(X1,X2))) = app(tl(X0),sK64(X1,X2))
      | ~ ssList(X0)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f577]) ).

fof(f3652,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK63(X1,X2))) = app(tl(X0),sK63(X1,X2))
      | ~ ssList(X0)
      | ~ rearsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f574]) ).

fof(f3651,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK62(X1,X2))) = app(tl(X0),sK62(X1,X2))
      | ~ ssList(X0)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f562]) ).

fof(f3650,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK61(X1,X2))) = app(tl(X0),sK61(X1,X2))
      | ~ ssList(X0)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f561]) ).

fof(f3649,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK60(X1))) = app(tl(X0),sK60(X1))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f567,f545]) ).

fof(f3648,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK59(X1))) = app(tl(X0),sK59(X1))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f567,f544]) ).

fof(f3647,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK58(X1))) = app(tl(X0),sK58(X1))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f567,f543]) ).

fof(f3646,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK55(X1))) = app(tl(X0),sK55(X1))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f567,f534]) ).

fof(f3645,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK54(X1))) = app(tl(X0),sK54(X1))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f567,f533]) ).

fof(f3644,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK53(X1))) = app(tl(X0),sK53(X1))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f567,f532]) ).

fof(f3643,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK50(X1))) = app(tl(X0),sK50(X1))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f567,f522]) ).

fof(f3642,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK49(X1))) = app(tl(X0),sK49(X1))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f567,f521]) ).

fof(f3641,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK48(X1))) = app(tl(X0),sK48(X1))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f567,f520]) ).

fof(f3640,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK45(X1))) = app(tl(X0),sK45(X1))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f567,f510]) ).

fof(f3639,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK44(X1))) = app(tl(X0),sK44(X1))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f567,f509]) ).

fof(f3638,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK43(X1))) = app(tl(X0),sK43(X1))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f567,f508]) ).

fof(f3637,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK40(X1))) = app(tl(X0),sK40(X1))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f567,f498]) ).

fof(f3636,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK39(X1))) = app(tl(X0),sK39(X1))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f567,f497]) ).

fof(f3635,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK38(X1))) = app(tl(X0),sK38(X1))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f567,f496]) ).

fof(f3634,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK35(X1))) = app(tl(X0),sK35(X1))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f567,f487]) ).

fof(f3633,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK34(X1))) = app(tl(X0),sK34(X1))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f567,f486]) ).

fof(f3632,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK33(X1))) = app(tl(X0),sK33(X1))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f567,f485]) ).

fof(f3631,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK30(X1))) = app(tl(X0),sK30(X1))
      | ~ ssList(X0)
      | sP4(X1) ),
    inference(resolution,[],[f567,f476]) ).

fof(f3630,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK29(X1))) = app(tl(X0),sK29(X1))
      | ~ ssList(X0)
      | sP4(X1) ),
    inference(resolution,[],[f567,f475]) ).

fof(f3629,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK25(X1))) = app(tl(X0),sK25(X1))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f465]) ).

fof(f3627,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK22(X1))) = app(tl(X0),sK22(X1))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f457]) ).

fof(f3662,plain,
    ! [X0] :
      ( tl(app(X0,sK19)) = app(tl(X0),sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f3626,f378]) ).

fof(f3626,plain,
    ! [X0] :
      ( nil = X0
      | tl(app(X0,sK21)) = app(tl(X0),sK21)
      | ~ ssList(X0) ),
    inference(resolution,[],[f567,f377]) ).

fof(f3621,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,tl(X1))) = app(tl(X0),tl(X1))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f461]) ).

fof(f3620,plain,
    ! [X0] :
      ( nil = X0
      | app(tl(X0),nil) = tl(app(X0,nil))
      | ~ ssList(X0) ),
    inference(resolution,[],[f567,f393]) ).

fof(f3619,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,app(X1,X2))) = app(tl(X0),app(X1,X2))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f565]) ).

fof(f3612,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,cons(X1,X2))) = app(tl(X0),cons(X1,X2))
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f567,f555]) ).

fof(f567,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | nil = X0
      | tl(app(X0,X1)) = app(tl(X0),X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f188]) ).

fof(f188,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).

fof(f3555,plain,
    ( rearsegP(sK19,nil)
    | ~ ssList(sK63(sK19,nil)) ),
    inference(subsumption_resolution,[],[f3551,f393]) ).

fof(f3551,plain,
    ( rearsegP(sK19,nil)
    | ~ ssList(sK63(sK19,nil))
    | ~ ssList(nil) ),
    inference(superposition,[],[f2136,f3449]) ).

fof(f3556,plain,
    ( frontsegP(sK19,sK63(sK19,nil))
    | ~ ssList(sK63(sK19,nil)) ),
    inference(subsumption_resolution,[],[f3552,f393]) ).

fof(f3552,plain,
    ( frontsegP(sK19,sK63(sK19,nil))
    | ~ ssList(nil)
    | ~ ssList(sK63(sK19,nil)) ),
    inference(superposition,[],[f2276,f3449]) ).

fof(f3554,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(sK63(sK19,nil),X0)
      | ~ ssList(X0)
      | ~ ssList(sK63(sK19,nil)) ),
    inference(subsumption_resolution,[],[f3550,f393]) ).

fof(f3550,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(sK63(sK19,nil),X0)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(sK63(sK19,nil)) ),
    inference(superposition,[],[f592,f3449]) ).

fof(f3553,plain,
    ! [X0] :
      ( memberP(sK19,X0)
      | ~ memberP(sK63(sK19,nil),X0)
      | ~ ssList(sK63(sK19,nil))
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f3544,f393]) ).

fof(f3544,plain,
    ! [X0] :
      ( memberP(sK19,X0)
      | ~ memberP(sK63(sK19,nil),X0)
      | ~ ssList(nil)
      | ~ ssList(sK63(sK19,nil))
      | ~ ssItem(X0) ),
    inference(superposition,[],[f447,f3449]) ).

fof(f3449,plain,
    sK19 = app(sK63(sK19,nil),nil),
    inference(resolution,[],[f2591,f375]) ).

fof(f3537,plain,
    ! [X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(nil,X1) ),
    inference(subsumption_resolution,[],[f3509,f375]) ).

fof(f3509,plain,
    ! [X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ frontsegP(nil,X1) ),
    inference(duplicate_literal_removal,[],[f3505]) ).

fof(f3505,plain,
    ! [X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ frontsegP(nil,X1)
      | ~ ssList(X1) ),
    inference(resolution,[],[f597,f2873]) ).

fof(f3535,plain,
    ! [X2,X3,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X2,X1)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f3512,f565]) ).

fof(f3512,plain,
    ! [X2,X3,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X3))
      | ~ ssList(X0)
      | ~ frontsegP(X2,X1)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f3502]) ).

fof(f3502,plain,
    ! [X2,X3,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X3))
      | ~ ssList(X0)
      | ~ frontsegP(X2,X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f597,f592]) ).

fof(f3534,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f3513,f565]) ).

fof(f3513,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2))
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f3501]) ).

fof(f3501,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f597,f2276]) ).

fof(f597,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X1,X2)
      | frontsegP(X0,X2)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(X0,X2)
              | ~ frontsegP(X1,X2)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(X0,X2)
              | ~ frontsegP(X1,X2)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( frontsegP(X1,X2)
                  & frontsegP(X0,X1) )
               => frontsegP(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

fof(f3481,plain,
    ! [X0,X1] :
      ( sK66(X0,X1) = app(sK63(sK66(X0,X1),nil),nil)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2591,f581]) ).

fof(f3480,plain,
    ! [X0,X1] :
      ( sK65(X0,X1) = app(sK63(sK65(X0,X1),nil),nil)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2591,f578]) ).

fof(f3479,plain,
    ! [X0,X1] :
      ( sK64(X0,X1) = app(sK63(sK64(X0,X1),nil),nil)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2591,f577]) ).

fof(f3477,plain,
    ! [X0,X1] :
      ( sK63(X0,X1) = app(sK63(sK63(X0,X1),nil),nil)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2591,f574]) ).

fof(f3476,plain,
    ! [X0,X1] :
      ( sK62(X0,X1) = app(sK63(sK62(X0,X1),nil),nil)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2591,f562]) ).

fof(f3475,plain,
    ! [X0,X1] :
      ( sK61(X0,X1) = app(sK63(sK61(X0,X1),nil),nil)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2591,f561]) ).

fof(f3474,plain,
    ! [X0] :
      ( sK60(X0) = app(sK63(sK60(X0),nil),nil)
      | sP16(X0) ),
    inference(resolution,[],[f2591,f545]) ).

fof(f3473,plain,
    ! [X0] :
      ( sK59(X0) = app(sK63(sK59(X0),nil),nil)
      | sP16(X0) ),
    inference(resolution,[],[f2591,f544]) ).

fof(f3472,plain,
    ! [X0] :
      ( sK58(X0) = app(sK63(sK58(X0),nil),nil)
      | sP16(X0) ),
    inference(resolution,[],[f2591,f543]) ).

fof(f3471,plain,
    ! [X0] :
      ( sK55(X0) = app(sK63(sK55(X0),nil),nil)
      | sP14(X0) ),
    inference(resolution,[],[f2591,f534]) ).

fof(f3470,plain,
    ! [X0] :
      ( sK54(X0) = app(sK63(sK54(X0),nil),nil)
      | sP14(X0) ),
    inference(resolution,[],[f2591,f533]) ).

fof(f3469,plain,
    ! [X0] :
      ( sK53(X0) = app(sK63(sK53(X0),nil),nil)
      | sP14(X0) ),
    inference(resolution,[],[f2591,f532]) ).

fof(f3468,plain,
    ! [X0] :
      ( sK50(X0) = app(sK63(sK50(X0),nil),nil)
      | sP12(X0) ),
    inference(resolution,[],[f2591,f522]) ).

fof(f3467,plain,
    ! [X0] :
      ( sK49(X0) = app(sK63(sK49(X0),nil),nil)
      | sP12(X0) ),
    inference(resolution,[],[f2591,f521]) ).

fof(f3466,plain,
    ! [X0] :
      ( sK48(X0) = app(sK63(sK48(X0),nil),nil)
      | sP12(X0) ),
    inference(resolution,[],[f2591,f520]) ).

fof(f3465,plain,
    ! [X0] :
      ( sK45(X0) = app(sK63(sK45(X0),nil),nil)
      | sP10(X0) ),
    inference(resolution,[],[f2591,f510]) ).

fof(f3464,plain,
    ! [X0] :
      ( sK44(X0) = app(sK63(sK44(X0),nil),nil)
      | sP10(X0) ),
    inference(resolution,[],[f2591,f509]) ).

fof(f3463,plain,
    ! [X0] :
      ( sK43(X0) = app(sK63(sK43(X0),nil),nil)
      | sP10(X0) ),
    inference(resolution,[],[f2591,f508]) ).

fof(f3462,plain,
    ! [X0] :
      ( sK40(X0) = app(sK63(sK40(X0),nil),nil)
      | sP8(X0) ),
    inference(resolution,[],[f2591,f498]) ).

fof(f3461,plain,
    ! [X0] :
      ( sK39(X0) = app(sK63(sK39(X0),nil),nil)
      | sP8(X0) ),
    inference(resolution,[],[f2591,f497]) ).

fof(f3460,plain,
    ! [X0] :
      ( sK38(X0) = app(sK63(sK38(X0),nil),nil)
      | sP8(X0) ),
    inference(resolution,[],[f2591,f496]) ).

fof(f3459,plain,
    ! [X0] :
      ( sK35(X0) = app(sK63(sK35(X0),nil),nil)
      | sP6(X0) ),
    inference(resolution,[],[f2591,f487]) ).

fof(f3458,plain,
    ! [X0] :
      ( sK34(X0) = app(sK63(sK34(X0),nil),nil)
      | sP6(X0) ),
    inference(resolution,[],[f2591,f486]) ).

fof(f3457,plain,
    ! [X0] :
      ( sK33(X0) = app(sK63(sK33(X0),nil),nil)
      | sP6(X0) ),
    inference(resolution,[],[f2591,f485]) ).

fof(f3456,plain,
    ! [X0] :
      ( sK30(X0) = app(sK63(sK30(X0),nil),nil)
      | sP4(X0) ),
    inference(resolution,[],[f2591,f476]) ).

fof(f3455,plain,
    ! [X0] :
      ( sK29(X0) = app(sK63(sK29(X0),nil),nil)
      | sP4(X0) ),
    inference(resolution,[],[f2591,f475]) ).

fof(f3454,plain,
    ! [X0] :
      ( sK25(X0) = app(sK63(sK25(X0),nil),nil)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2591,f465]) ).

fof(f3452,plain,
    ! [X0] :
      ( sK22(X0) = app(sK63(sK22(X0),nil),nil)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2591,f457]) ).

fof(f3486,plain,
    sK19 = app(sK63(sK19,nil),nil),
    inference(forward_demodulation,[],[f3451,f378]) ).

fof(f3451,plain,
    sK21 = app(sK63(sK21,nil),nil),
    inference(resolution,[],[f2591,f377]) ).

fof(f3446,plain,
    ! [X0] :
      ( tl(X0) = app(sK63(tl(X0),nil),nil)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2591,f461]) ).

fof(f3444,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(sK63(app(X0,X1),nil),nil)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2591,f565]) ).

fof(f3437,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(sK63(cons(X0,X1),nil),nil)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f2591,f555]) ).

fof(f2591,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(sK63(X0,nil),nil) = X0 ),
    inference(subsumption_resolution,[],[f2585,f393]) ).

fof(f2585,plain,
    ! [X0] :
      ( app(sK63(X0,nil),nil) = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f2581]) ).

fof(f2581,plain,
    ! [X0] :
      ( app(sK63(X0,nil),nil) = X0
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f575,f449]) ).

fof(f3416,plain,
    ! [X0,X1] :
      ( sK66(X0,X1) = app(sK63(sK66(X0,X1),sK66(X0,X1)),sK66(X0,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2588,f581]) ).

fof(f3415,plain,
    ! [X0,X1] :
      ( sK65(X0,X1) = app(sK63(sK65(X0,X1),sK65(X0,X1)),sK65(X0,X1))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2588,f578]) ).

fof(f3414,plain,
    ! [X0,X1] :
      ( sK64(X0,X1) = app(sK63(sK64(X0,X1),sK64(X0,X1)),sK64(X0,X1))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2588,f577]) ).

fof(f3412,plain,
    ! [X0,X1] :
      ( sK63(X0,X1) = app(sK63(sK63(X0,X1),sK63(X0,X1)),sK63(X0,X1))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2588,f574]) ).

fof(f3411,plain,
    ! [X0,X1] :
      ( sK62(X0,X1) = app(sK63(sK62(X0,X1),sK62(X0,X1)),sK62(X0,X1))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2588,f562]) ).

fof(f3410,plain,
    ! [X0,X1] :
      ( sK61(X0,X1) = app(sK63(sK61(X0,X1),sK61(X0,X1)),sK61(X0,X1))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2588,f561]) ).

fof(f3409,plain,
    ! [X0] :
      ( sK60(X0) = app(sK63(sK60(X0),sK60(X0)),sK60(X0))
      | sP16(X0) ),
    inference(resolution,[],[f2588,f545]) ).

fof(f3408,plain,
    ! [X0] :
      ( sK59(X0) = app(sK63(sK59(X0),sK59(X0)),sK59(X0))
      | sP16(X0) ),
    inference(resolution,[],[f2588,f544]) ).

fof(f3407,plain,
    ! [X0] :
      ( sK58(X0) = app(sK63(sK58(X0),sK58(X0)),sK58(X0))
      | sP16(X0) ),
    inference(resolution,[],[f2588,f543]) ).

fof(f3406,plain,
    ! [X0] :
      ( sK55(X0) = app(sK63(sK55(X0),sK55(X0)),sK55(X0))
      | sP14(X0) ),
    inference(resolution,[],[f2588,f534]) ).

fof(f3405,plain,
    ! [X0] :
      ( sK54(X0) = app(sK63(sK54(X0),sK54(X0)),sK54(X0))
      | sP14(X0) ),
    inference(resolution,[],[f2588,f533]) ).

fof(f3404,plain,
    ! [X0] :
      ( sK53(X0) = app(sK63(sK53(X0),sK53(X0)),sK53(X0))
      | sP14(X0) ),
    inference(resolution,[],[f2588,f532]) ).

fof(f3403,plain,
    ! [X0] :
      ( sK50(X0) = app(sK63(sK50(X0),sK50(X0)),sK50(X0))
      | sP12(X0) ),
    inference(resolution,[],[f2588,f522]) ).

fof(f3402,plain,
    ! [X0] :
      ( sK49(X0) = app(sK63(sK49(X0),sK49(X0)),sK49(X0))
      | sP12(X0) ),
    inference(resolution,[],[f2588,f521]) ).

fof(f3401,plain,
    ! [X0] :
      ( sK48(X0) = app(sK63(sK48(X0),sK48(X0)),sK48(X0))
      | sP12(X0) ),
    inference(resolution,[],[f2588,f520]) ).

fof(f3400,plain,
    ! [X0] :
      ( sK45(X0) = app(sK63(sK45(X0),sK45(X0)),sK45(X0))
      | sP10(X0) ),
    inference(resolution,[],[f2588,f510]) ).

fof(f3399,plain,
    ! [X0] :
      ( sK44(X0) = app(sK63(sK44(X0),sK44(X0)),sK44(X0))
      | sP10(X0) ),
    inference(resolution,[],[f2588,f509]) ).

fof(f3398,plain,
    ! [X0] :
      ( sK43(X0) = app(sK63(sK43(X0),sK43(X0)),sK43(X0))
      | sP10(X0) ),
    inference(resolution,[],[f2588,f508]) ).

fof(f3397,plain,
    ! [X0] :
      ( sK40(X0) = app(sK63(sK40(X0),sK40(X0)),sK40(X0))
      | sP8(X0) ),
    inference(resolution,[],[f2588,f498]) ).

fof(f3396,plain,
    ! [X0] :
      ( sK39(X0) = app(sK63(sK39(X0),sK39(X0)),sK39(X0))
      | sP8(X0) ),
    inference(resolution,[],[f2588,f497]) ).

fof(f3395,plain,
    ! [X0] :
      ( sK38(X0) = app(sK63(sK38(X0),sK38(X0)),sK38(X0))
      | sP8(X0) ),
    inference(resolution,[],[f2588,f496]) ).

fof(f3394,plain,
    ! [X0] :
      ( sK35(X0) = app(sK63(sK35(X0),sK35(X0)),sK35(X0))
      | sP6(X0) ),
    inference(resolution,[],[f2588,f487]) ).

fof(f3393,plain,
    ! [X0] :
      ( sK34(X0) = app(sK63(sK34(X0),sK34(X0)),sK34(X0))
      | sP6(X0) ),
    inference(resolution,[],[f2588,f486]) ).

fof(f3392,plain,
    ! [X0] :
      ( sK33(X0) = app(sK63(sK33(X0),sK33(X0)),sK33(X0))
      | sP6(X0) ),
    inference(resolution,[],[f2588,f485]) ).

fof(f3391,plain,
    ! [X0] :
      ( sK30(X0) = app(sK63(sK30(X0),sK30(X0)),sK30(X0))
      | sP4(X0) ),
    inference(resolution,[],[f2588,f476]) ).

fof(f3390,plain,
    ! [X0] :
      ( sK29(X0) = app(sK63(sK29(X0),sK29(X0)),sK29(X0))
      | sP4(X0) ),
    inference(resolution,[],[f2588,f475]) ).

fof(f3389,plain,
    ! [X0] :
      ( sK25(X0) = app(sK63(sK25(X0),sK25(X0)),sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2588,f465]) ).

fof(f3387,plain,
    ! [X0] :
      ( sK22(X0) = app(sK63(sK22(X0),sK22(X0)),sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2588,f457]) ).

fof(f3381,plain,
    ! [X0] :
      ( tl(X0) = app(sK63(tl(X0),tl(X0)),tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2588,f461]) ).

fof(f3379,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(sK63(app(X0,X1),app(X0,X1)),app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2588,f565]) ).

fof(f3372,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(sK63(cons(X0,X1),cons(X0,X1)),cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f2588,f555]) ).

fof(f2588,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(sK63(X0,X0),X0) = X0 ),
    inference(duplicate_literal_removal,[],[f2578]) ).

fof(f2578,plain,
    ! [X0] :
      ( app(sK63(X0,X0),X0) = X0
      | ~ ssList(X0)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f575,f453]) ).

fof(f596,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X1,X2)
      | segmentP(X0,X2)
      | ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( segmentP(X0,X2)
              | ~ segmentP(X1,X2)
              | ~ segmentP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f217]) ).

fof(f217,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( segmentP(X0,X2)
              | ~ segmentP(X1,X2)
              | ~ segmentP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( segmentP(X1,X2)
                  & segmentP(X0,X1) )
               => segmentP(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

fof(f3277,plain,
    ! [X2,X3,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ rearsegP(X3,X1)
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f3251,f565]) ).

fof(f3251,plain,
    ! [X2,X3,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X3))
      | ~ ssList(X0)
      | ~ rearsegP(X3,X1)
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(duplicate_literal_removal,[],[f3240]) ).

fof(f3240,plain,
    ! [X2,X3,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X3))
      | ~ ssList(X0)
      | ~ rearsegP(X3,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X3) ),
    inference(resolution,[],[f595,f591]) ).

fof(f3276,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f3252,f565]) ).

fof(f3252,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X1))
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f3239]) ).

fof(f3239,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X1))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f595,f2136]) ).

fof(f3275,plain,
    ! [X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ rearsegP(nil,X1) ),
    inference(subsumption_resolution,[],[f3253,f375]) ).

fof(f3253,plain,
    ! [X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ rearsegP(nil,X1) ),
    inference(duplicate_literal_removal,[],[f3238]) ).

fof(f3238,plain,
    ! [X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ rearsegP(nil,X1)
      | ~ ssList(X1) ),
    inference(resolution,[],[f595,f2746]) ).

fof(f595,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X1,X2)
      | rearsegP(X0,X2)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(X0,X2)
              | ~ rearsegP(X1,X2)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(X0,X2)
              | ~ rearsegP(X1,X2)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( rearsegP(X1,X2)
                  & rearsegP(X0,X1) )
               => rearsegP(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

fof(f477,plain,
    ! [X0] :
      ( sP4(X0)
      | app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0 ),
    inference(cnf_transformation,[],[f292]) ).

fof(f3215,plain,
    ! [X2,X0,X1] :
      ( lt(X0,X1)
      | ~ lt(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X1 = X2
      | ~ leq(X2,X1) ),
    inference(duplicate_literal_removal,[],[f3214]) ).

fof(f3214,plain,
    ! [X2,X0,X1] :
      ( lt(X0,X1)
      | ~ lt(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X1 = X2
      | ~ leq(X2,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f423,f406]) ).

fof(f3213,plain,
    ! [X2,X0,X1] :
      ( lt(X0,hd(X1))
      | ~ lt(X0,X2)
      | ~ ssItem(hd(X1))
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | nil = X1
      | ~ sP2(X1,X2) ),
    inference(resolution,[],[f423,f442]) ).

fof(f423,plain,
    ! [X2,X0,X1] :
      ( ~ lt(X1,X2)
      | lt(X0,X2)
      | ~ lt(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ lt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ lt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( lt(X1,X2)
                  & lt(X0,X1) )
               => lt(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

fof(f3140,plain,
    ! [X2,X0,X1] :
      ( lt(X0,X1)
      | ~ leq(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X1 = X2
      | ~ leq(X2,X1) ),
    inference(duplicate_literal_removal,[],[f3139]) ).

fof(f3139,plain,
    ! [X2,X0,X1] :
      ( lt(X0,X1)
      | ~ leq(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X1 = X2
      | ~ leq(X2,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f422,f406]) ).

fof(f3138,plain,
    ! [X2,X0,X1] :
      ( lt(X0,hd(X1))
      | ~ leq(X0,X2)
      | ~ ssItem(hd(X1))
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | nil = X1
      | ~ sP2(X1,X2) ),
    inference(resolution,[],[f422,f442]) ).

fof(f422,plain,
    ! [X2,X0,X1] :
      ( ~ lt(X1,X2)
      | lt(X0,X2)
      | ~ leq(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( lt(X1,X2)
                  & leq(X0,X1) )
               => lt(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).

fof(f3056,plain,
    ! [X0,X1] :
      ( ~ leq(X0,sK47(X1))
      | leq(X0,sK46(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(subsumption_resolution,[],[f3055,f519]) ).

fof(f3055,plain,
    ! [X0,X1] :
      ( leq(X0,sK46(X1))
      | ~ leq(X0,sK47(X1))
      | ~ ssItem(sK47(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(subsumption_resolution,[],[f3051,f518]) ).

fof(f3051,plain,
    ! [X0,X1] :
      ( leq(X0,sK46(X1))
      | ~ leq(X0,sK47(X1))
      | ~ ssItem(sK46(X1))
      | ~ ssItem(sK47(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(resolution,[],[f421,f525]) ).

fof(f3054,plain,
    ! [X0,X1] :
      ( leq(X0,sK47(X1))
      | ~ leq(X0,sK46(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(subsumption_resolution,[],[f3053,f518]) ).

fof(f3053,plain,
    ! [X0,X1] :
      ( leq(X0,sK47(X1))
      | ~ leq(X0,sK46(X1))
      | ~ ssItem(sK46(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(subsumption_resolution,[],[f3050,f519]) ).

fof(f3050,plain,
    ! [X0,X1] :
      ( leq(X0,sK47(X1))
      | ~ leq(X0,sK46(X1))
      | ~ ssItem(sK47(X1))
      | ~ ssItem(sK46(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(resolution,[],[f421,f524]) ).

fof(f3049,plain,
    ! [X2,X0,X1] :
      ( leq(X0,hd(X1))
      | ~ leq(X0,X2)
      | ~ ssItem(hd(X1))
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | nil = X1
      | ~ sP0(X1,X2) ),
    inference(resolution,[],[f421,f434]) ).

fof(f421,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( leq(X0,X2)
              | ~ leq(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( leq(X0,X2)
              | ~ leq(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( leq(X1,X2)
                  & leq(X0,X1) )
               => leq(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

fof(f2896,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ frontsegP(X0,sK19) ),
    inference(subsumption_resolution,[],[f2892,f375]) ).

fof(f2892,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ frontsegP(X0,sK19)
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f2891]) ).

fof(f2891,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ frontsegP(X0,sK19)
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2873,f571]) ).

fof(f3037,plain,
    ( ~ rearsegP(nil,sK19)
    | spl69_5 ),
    inference(subsumption_resolution,[],[f3036,f841]) ).

fof(f3036,plain,
    ( nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(subsumption_resolution,[],[f3035,f393]) ).

fof(f3035,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(duplicate_literal_removal,[],[f3031]) ).

fof(f3031,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ rearsegP(nil,sK19)
    | ~ ssList(nil) ),
    inference(resolution,[],[f2768,f453]) ).

fof(f3041,plain,
    ( ~ rearsegP(nil,sK19)
    | spl69_5 ),
    inference(subsumption_resolution,[],[f3040,f841]) ).

fof(f3040,plain,
    ( nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(subsumption_resolution,[],[f3034,f393]) ).

fof(f3034,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(duplicate_literal_removal,[],[f3033]) ).

fof(f3033,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ rearsegP(nil,sK19)
    | ~ ssList(nil) ),
    inference(resolution,[],[f2768,f449]) ).

fof(f3039,plain,
    ( ~ rearsegP(nil,sK19)
    | spl69_5 ),
    inference(subsumption_resolution,[],[f3038,f841]) ).

fof(f3038,plain,
    ( nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(subsumption_resolution,[],[f3032,f393]) ).

fof(f3032,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(resolution,[],[f2768,f636]) ).

fof(f2768,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ rearsegP(X0,sK19) ),
    inference(subsumption_resolution,[],[f2763,f375]) ).

fof(f2763,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ rearsegP(X0,sK19)
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f2762]) ).

fof(f2762,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ rearsegP(X0,sK19)
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2746,f569]) ).

fof(f3022,plain,
    ! [X2,X0,X1] :
      ( geq(X0,X1)
      | ~ geq(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ leq(X1,X2) ),
    inference(duplicate_literal_removal,[],[f3021]) ).

fof(f3021,plain,
    ! [X2,X0,X1] :
      ( geq(X0,X1)
      | ~ geq(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ leq(X1,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f420,f415]) ).

fof(f420,plain,
    ! [X2,X0,X1] :
      ( ~ geq(X1,X2)
      | geq(X0,X2)
      | ~ geq(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( geq(X0,X2)
              | ~ geq(X1,X2)
              | ~ geq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( geq(X0,X2)
              | ~ geq(X1,X2)
              | ~ geq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( geq(X1,X2)
                  & geq(X0,X1) )
               => geq(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).

fof(f2959,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X1)
      | ~ gt(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ lt(X1,X2) ),
    inference(duplicate_literal_removal,[],[f2958]) ).

fof(f2958,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X1)
      | ~ gt(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ lt(X1,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f419,f413]) ).

fof(f419,plain,
    ! [X2,X0,X1] :
      ( ~ gt(X1,X2)
      | gt(X0,X2)
      | ~ gt(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( gt(X0,X2)
              | ~ gt(X1,X2)
              | ~ gt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( gt(X0,X2)
              | ~ gt(X1,X2)
              | ~ gt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( gt(X1,X2)
                  & gt(X0,X1) )
               => gt(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).

fof(f2950,plain,
    ( rearsegP(nil,sK66(nil,nil))
    | ~ ssList(sK66(nil,nil)) ),
    inference(subsumption_resolution,[],[f2943,f393]) ).

fof(f2943,plain,
    ( rearsegP(nil,sK66(nil,nil))
    | ~ ssList(nil)
    | ~ ssList(sK66(nil,nil)) ),
    inference(superposition,[],[f2136,f2633]) ).

fof(f2949,plain,
    ! [X0] :
      ( rearsegP(nil,X0)
      | ~ rearsegP(sK66(nil,nil),X0)
      | ~ ssList(X0)
      | ~ ssList(sK66(nil,nil)) ),
    inference(subsumption_resolution,[],[f2941,f393]) ).

fof(f2941,plain,
    ! [X0] :
      ( rearsegP(nil,X0)
      | ~ rearsegP(sK66(nil,nil),X0)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(sK66(nil,nil)) ),
    inference(superposition,[],[f591,f2633]) ).

fof(f2948,plain,
    ( nil = sK66(nil,nil)
    | ~ ssList(sK66(nil,nil)) ),
    inference(subsumption_resolution,[],[f2945,f393]) ).

fof(f2945,plain,
    ( nil = sK66(nil,nil)
    | ~ ssList(sK66(nil,nil))
    | ~ ssList(nil) ),
    inference(trivial_inequality_removal,[],[f2939]) ).

fof(f2939,plain,
    ( nil != nil
    | nil = sK66(nil,nil)
    | ~ ssList(sK66(nil,nil))
    | ~ ssList(nil) ),
    inference(superposition,[],[f584,f2633]) ).

fof(f2947,plain,
    ! [X0] :
      ( ~ memberP(sK66(nil,nil),X0)
      | ~ ssList(sK66(nil,nil))
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f2946,f394]) ).

fof(f2946,plain,
    ! [X0] :
      ( memberP(nil,X0)
      | ~ memberP(sK66(nil,nil),X0)
      | ~ ssList(sK66(nil,nil))
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f2937,f393]) ).

fof(f2937,plain,
    ! [X0] :
      ( memberP(nil,X0)
      | ~ memberP(sK66(nil,nil),X0)
      | ~ ssList(sK66(nil,nil))
      | ~ ssList(nil)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f448,f2633]) ).

fof(f2633,plain,
    nil = app(nil,sK66(nil,nil)),
    inference(subsumption_resolution,[],[f2621,f393]) ).

fof(f2621,plain,
    ( nil = app(nil,sK66(nil,nil))
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f2618]) ).

fof(f2618,plain,
    ( nil = app(nil,sK66(nil,nil))
    | ~ ssList(nil)
    | ~ ssList(nil) ),
    inference(resolution,[],[f582,f638]) ).

fof(f2873,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(nil,X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2872,f393]) ).

fof(f2872,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f2845,f375]) ).

fof(f2845,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(nil,X0)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(superposition,[],[f592,f687]) ).

fof(f2866,plain,
    ! [X0] :
      ( frontsegP(nil,X0)
      | ~ frontsegP(sK63(nil,nil),X0)
      | ~ ssList(X0)
      | ~ ssList(sK63(nil,nil)) ),
    inference(subsumption_resolution,[],[f2841,f393]) ).

fof(f2841,plain,
    ! [X0] :
      ( frontsegP(nil,X0)
      | ~ frontsegP(sK63(nil,nil),X0)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(sK63(nil,nil)) ),
    inference(superposition,[],[f592,f2590]) ).

fof(f2857,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = X1
      | ~ frontsegP(X1,app(X0,X2)) ),
    inference(subsumption_resolution,[],[f2854,f565]) ).

fof(f2854,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = X1
      | ~ frontsegP(X1,app(X0,X2))
      | ~ ssList(app(X0,X2)) ),
    inference(duplicate_literal_removal,[],[f2826]) ).

fof(f2826,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = X1
      | ~ frontsegP(X1,app(X0,X2))
      | ~ ssList(app(X0,X2))
      | ~ ssList(X1) ),
    inference(resolution,[],[f592,f571]) ).

fof(f2856,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = app(X1,sK66(app(X0,X2),X1)) ),
    inference(subsumption_resolution,[],[f2855,f565]) ).

fof(f2855,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = app(X1,sK66(app(X0,X2),X1))
      | ~ ssList(app(X0,X2)) ),
    inference(duplicate_literal_removal,[],[f2825]) ).

fof(f2825,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = app(X1,sK66(app(X0,X2),X1))
      | ~ ssList(X1)
      | ~ ssList(app(X0,X2)) ),
    inference(resolution,[],[f592,f582]) ).

fof(f592,plain,
    ! [X2,X0,X1] :
      ( frontsegP(app(X0,X2),X1)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(app(X0,X2),X1)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(app(X0,X2),X1)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( frontsegP(X0,X1)
               => frontsegP(app(X0,X2),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

fof(f2746,plain,
    ! [X0] :
      ( rearsegP(sK19,X0)
      | ~ rearsegP(nil,X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2745,f393]) ).

fof(f2745,plain,
    ! [X0] :
      ( rearsegP(sK19,X0)
      | ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f2713,f375]) ).

fof(f2713,plain,
    ! [X0] :
      ( rearsegP(sK19,X0)
      | ~ rearsegP(nil,X0)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(superposition,[],[f591,f660]) ).

fof(f2729,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = X1
      | ~ rearsegP(X1,app(X2,X0)) ),
    inference(subsumption_resolution,[],[f2726,f565]) ).

fof(f2726,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = X1
      | ~ rearsegP(X1,app(X2,X0))
      | ~ ssList(app(X2,X0)) ),
    inference(duplicate_literal_removal,[],[f2700]) ).

fof(f2700,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = X1
      | ~ rearsegP(X1,app(X2,X0))
      | ~ ssList(app(X2,X0))
      | ~ ssList(X1) ),
    inference(resolution,[],[f591,f569]) ).

fof(f2728,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = app(sK63(app(X2,X0),X1),X1) ),
    inference(subsumption_resolution,[],[f2727,f565]) ).

fof(f2727,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = app(sK63(app(X2,X0),X1),X1)
      | ~ ssList(app(X2,X0)) ),
    inference(duplicate_literal_removal,[],[f2699]) ).

fof(f2699,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = app(sK63(app(X2,X0),X1),X1)
      | ~ ssList(X1)
      | ~ ssList(app(X2,X0)) ),
    inference(resolution,[],[f591,f575]) ).

fof(f591,plain,
    ! [X2,X0,X1] :
      ( rearsegP(app(X2,X0),X1)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(app(X2,X0),X1)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f207]) ).

fof(f207,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(app(X2,X0),X1)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( rearsegP(X0,X1)
               => rearsegP(app(X2,X0),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

fof(f2632,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(X0,sK66(app(X0,X1),X0))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f2622,f565]) ).

fof(f2622,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(X0,sK66(app(X0,X1),X0))
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f2617]) ).

fof(f2617,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(X0,sK66(app(X0,X1),X0))
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f582,f2276]) ).

fof(f582,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | app(X1,sK66(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f368]) ).

fof(f2609,plain,
    ( frontsegP(nil,sK63(nil,nil))
    | ~ ssList(sK63(nil,nil)) ),
    inference(subsumption_resolution,[],[f2604,f393]) ).

fof(f2604,plain,
    ( frontsegP(nil,sK63(nil,nil))
    | ~ ssList(nil)
    | ~ ssList(sK63(nil,nil)) ),
    inference(superposition,[],[f2276,f2590]) ).

fof(f2608,plain,
    ( nil = sK63(nil,nil)
    | ~ ssList(sK63(nil,nil)) ),
    inference(subsumption_resolution,[],[f2605,f393]) ).

fof(f2605,plain,
    ( nil = sK63(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(sK63(nil,nil)) ),
    inference(trivial_inequality_removal,[],[f2602]) ).

fof(f2602,plain,
    ( nil != nil
    | nil = sK63(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(sK63(nil,nil)) ),
    inference(superposition,[],[f585,f2590]) ).

fof(f2607,plain,
    ! [X0] :
      ( ~ memberP(sK63(nil,nil),X0)
      | ~ ssList(sK63(nil,nil))
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f2606,f394]) ).

fof(f2606,plain,
    ! [X0] :
      ( memberP(nil,X0)
      | ~ memberP(sK63(nil,nil),X0)
      | ~ ssList(sK63(nil,nil))
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f2598,f393]) ).

fof(f2598,plain,
    ! [X0] :
      ( memberP(nil,X0)
      | ~ memberP(sK63(nil,nil),X0)
      | ~ ssList(nil)
      | ~ ssList(sK63(nil,nil))
      | ~ ssItem(X0) ),
    inference(superposition,[],[f447,f2590]) ).

fof(f2590,plain,
    nil = app(sK63(nil,nil),nil),
    inference(subsumption_resolution,[],[f2586,f393]) ).

fof(f2586,plain,
    ( nil = app(sK63(nil,nil),nil)
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f2580]) ).

fof(f2580,plain,
    ( nil = app(sK63(nil,nil),nil)
    | ~ ssList(nil)
    | ~ ssList(nil) ),
    inference(resolution,[],[f575,f636]) ).

fof(f2589,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(sK63(app(X0,X1),X1),X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2587,f565]) ).

fof(f2587,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(sK63(app(X0,X1),X1),X1)
      | ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f2579]) ).

fof(f2579,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(sK63(app(X0,X1),X1),X1)
      | ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f575,f2136]) ).

fof(f575,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | app(sK63(X0,X1),X1) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f359]) ).

fof(f359,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(sK63(X0,X1),X1) = X0
                & ssList(sK63(X0,X1)) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f357,f358]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X3,X1) = X0
          & ssList(X3) )
     => ( app(sK63(X0,X1),X1) = X0
        & ssList(sK63(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f357,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X3,X1) = X0
                  & ssList(X3) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f356]) ).

fof(f356,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X2,X1) = X0
                  & ssList(X2) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f199]) ).

fof(f199,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f2568,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK66(X1,X2)))
      | ~ ssList(X0)
      | ~ frontsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f566,f581]) ).

fof(f2567,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK65(X1,X2)))
      | ~ ssList(X0)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f566,f578]) ).

fof(f2566,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK64(X1,X2)))
      | ~ ssList(X0)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f566,f577]) ).

fof(f2565,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK63(X1,X2)))
      | ~ ssList(X0)
      | ~ rearsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f566,f574]) ).

fof(f2564,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK62(X1,X2)))
      | ~ ssList(X0)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f566,f562]) ).

fof(f2563,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK61(X1,X2)))
      | ~ ssList(X0)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f566,f561]) ).

fof(f2562,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK60(X1)))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f566,f545]) ).

fof(f2561,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK59(X1)))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f566,f544]) ).

fof(f2560,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK58(X1)))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f566,f543]) ).

fof(f2559,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK55(X1)))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f566,f534]) ).

fof(f2558,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK54(X1)))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f566,f533]) ).

fof(f2557,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK53(X1)))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f566,f532]) ).

fof(f2556,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK50(X1)))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f566,f522]) ).

fof(f2555,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK49(X1)))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f566,f521]) ).

fof(f2554,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK48(X1)))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f566,f520]) ).

fof(f2553,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK45(X1)))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f566,f510]) ).

fof(f2552,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK44(X1)))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f566,f509]) ).

fof(f2551,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK43(X1)))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f566,f508]) ).

fof(f2550,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK40(X1)))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f566,f498]) ).

fof(f2549,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK39(X1)))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f566,f497]) ).

fof(f2548,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK38(X1)))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f566,f496]) ).

fof(f2547,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK35(X1)))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f566,f487]) ).

fof(f2546,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK34(X1)))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f566,f486]) ).

fof(f2545,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK33(X1)))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f566,f485]) ).

fof(f2544,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK30(X1)))
      | ~ ssList(X0)
      | sP4(X1) ),
    inference(resolution,[],[f566,f476]) ).

fof(f2543,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK29(X1)))
      | ~ ssList(X0)
      | sP4(X1) ),
    inference(resolution,[],[f566,f475]) ).

fof(f2542,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK25(X1)))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f566,f465]) ).

fof(f2540,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK22(X1)))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f566,f457]) ).

fof(f2572,plain,
    ! [X0] :
      ( hd(X0) = hd(app(X0,sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f2539,f378]) ).

fof(f2539,plain,
    ! [X0] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK21))
      | ~ ssList(X0) ),
    inference(resolution,[],[f566,f377]) ).

fof(f2534,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,tl(X1)))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f566,f461]) ).

fof(f2533,plain,
    ! [X0] :
      ( nil = X0
      | hd(X0) = hd(app(X0,nil))
      | ~ ssList(X0) ),
    inference(resolution,[],[f566,f393]) ).

fof(f2532,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,app(X1,X2)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f566,f565]) ).

fof(f2525,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f566,f555]) ).

fof(f566,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | nil = X0
      | hd(X0) = hd(app(X0,X1))
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(X0) = hd(app(X0,X1))
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f186]) ).

fof(f186,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(X0) = hd(app(X0,X1))
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => hd(X0) = hd(app(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

fof(f448,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f447,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f426,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f261]) ).

fof(f2312,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X0) = X1
      | ~ frontsegP(X1,app(X1,X0)) ),
    inference(subsumption_resolution,[],[f2311,f565]) ).

fof(f2311,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X0) = X1
      | ~ frontsegP(X1,app(X1,X0))
      | ~ ssList(app(X1,X0)) ),
    inference(duplicate_literal_removal,[],[f2288]) ).

fof(f2288,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X0) = X1
      | ~ frontsegP(X1,app(X1,X0))
      | ~ ssList(app(X1,X0))
      | ~ ssList(X1) ),
    inference(resolution,[],[f2276,f571]) ).

fof(f2225,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = X1
      | ~ rearsegP(X1,app(X0,X1)) ),
    inference(subsumption_resolution,[],[f2224,f565]) ).

fof(f2224,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = X1
      | ~ rearsegP(X1,app(X0,X1))
      | ~ ssList(app(X0,X1)) ),
    inference(duplicate_literal_removal,[],[f2202]) ).

fof(f2202,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = X1
      | ~ rearsegP(X1,app(X0,X1))
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1) ),
    inference(resolution,[],[f2136,f569]) ).

fof(f2136,plain,
    ! [X2,X1] :
      ( rearsegP(app(X2,X1),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f624,f565]) ).

fof(f571,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | X0 = X1
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f196]) ).

fof(f196,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( frontsegP(X1,X0)
              & frontsegP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

fof(f570,plain,
    ! [X0,X1] :
      ( ~ segmentP(X1,X0)
      | X0 = X1
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f195]) ).

fof(f195,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ segmentP(X1,X0)
          | ~ segmentP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ segmentP(X1,X0)
          | ~ segmentP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( segmentP(X1,X0)
              & segmentP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

fof(f569,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X1,X0)
      | X0 = X1
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X1,X0)
          | ~ rearsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f192]) ).

fof(f192,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X1,X0)
          | ~ rearsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( rearsegP(X1,X0)
              & rearsegP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

fof(f1900,plain,
    ( ssList(cons(sK68,sK19))
    | ~ ssList(cons(sK68,nil)) ),
    inference(subsumption_resolution,[],[f1896,f375]) ).

fof(f1896,plain,
    ( ssList(cons(sK68,sK19))
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f565,f1843]) ).

fof(f1899,plain,
    ( nil != cons(sK68,sK19)
    | ~ ssList(cons(sK68,nil))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1898,f375]) ).

fof(f1898,plain,
    ( nil != cons(sK68,sK19)
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1895,f841]) ).

fof(f1895,plain,
    ( nil != cons(sK68,sK19)
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f584,f1843]) ).

fof(f1897,plain,
    ( nil != cons(sK68,sK19)
    | nil = cons(sK68,nil)
    | ~ ssList(cons(sK68,nil)) ),
    inference(subsumption_resolution,[],[f1894,f375]) ).

fof(f1894,plain,
    ( nil != cons(sK68,sK19)
    | nil = cons(sK68,nil)
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f585,f1843]) ).

fof(f1843,plain,
    cons(sK68,sK19) = app(cons(sK68,nil),sK19),
    inference(resolution,[],[f1785,f600]) ).

fof(f1851,plain,
    ( ssList(cons(sK67,sK19))
    | ~ ssList(cons(sK67,nil)) ),
    inference(subsumption_resolution,[],[f1847,f375]) ).

fof(f1847,plain,
    ( ssList(cons(sK67,sK19))
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f565,f1842]) ).

fof(f1850,plain,
    ( nil != cons(sK67,sK19)
    | ~ ssList(cons(sK67,nil))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1849,f375]) ).

fof(f1849,plain,
    ( nil != cons(sK67,sK19)
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1846,f841]) ).

fof(f1846,plain,
    ( nil != cons(sK67,sK19)
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f584,f1842]) ).

fof(f1848,plain,
    ( nil != cons(sK67,sK19)
    | nil = cons(sK67,nil)
    | ~ ssList(cons(sK67,nil)) ),
    inference(subsumption_resolution,[],[f1845,f375]) ).

fof(f1845,plain,
    ( nil != cons(sK67,sK19)
    | nil = cons(sK67,nil)
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f585,f1842]) ).

fof(f1842,plain,
    cons(sK67,sK19) = app(cons(sK67,nil),sK19),
    inference(resolution,[],[f1785,f599]) ).

fof(f1841,plain,
    ! [X0] :
      ( sP16(X0)
      | cons(sK57(X0),sK19) = app(cons(sK57(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f542]) ).

fof(f1840,plain,
    ! [X0] :
      ( sP16(X0)
      | cons(sK56(X0),sK19) = app(cons(sK56(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f541]) ).

fof(f1839,plain,
    ! [X0] :
      ( sP14(X0)
      | cons(sK52(X0),sK19) = app(cons(sK52(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f531]) ).

fof(f1838,plain,
    ! [X0] :
      ( sP14(X0)
      | cons(sK51(X0),sK19) = app(cons(sK51(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f530]) ).

fof(f1837,plain,
    ! [X0] :
      ( sP12(X0)
      | cons(sK47(X0),sK19) = app(cons(sK47(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f519]) ).

fof(f1836,plain,
    ! [X0] :
      ( sP12(X0)
      | cons(sK46(X0),sK19) = app(cons(sK46(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f518]) ).

fof(f1835,plain,
    ! [X0] :
      ( sP10(X0)
      | cons(sK42(X0),sK19) = app(cons(sK42(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f507]) ).

fof(f1834,plain,
    ! [X0] :
      ( sP10(X0)
      | cons(sK41(X0),sK19) = app(cons(sK41(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f506]) ).

fof(f1833,plain,
    ! [X0] :
      ( sP8(X0)
      | cons(sK37(X0),sK19) = app(cons(sK37(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f495]) ).

fof(f1832,plain,
    ! [X0] :
      ( sP8(X0)
      | cons(sK36(X0),sK19) = app(cons(sK36(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f494]) ).

fof(f1831,plain,
    ! [X0] :
      ( sP6(X0)
      | cons(sK32(X0),sK19) = app(cons(sK32(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f484]) ).

fof(f1830,plain,
    ! [X0] :
      ( sP6(X0)
      | cons(sK31(X0),sK19) = app(cons(sK31(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f483]) ).

fof(f1829,plain,
    ! [X0] :
      ( sP4(X0)
      | cons(sK28(X0),sK19) = app(cons(sK28(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f474]) ).

fof(f1828,plain,
    ! [X0] :
      ( sP4(X0)
      | cons(sK27(X0),sK19) = app(cons(sK27(X0),nil),sK19) ),
    inference(resolution,[],[f1785,f473]) ).

fof(f1827,plain,
    ! [X0] :
      ( cons(sK26(X0),sK19) = app(cons(sK26(X0),nil),sK19)
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1785,f467]) ).

fof(f1826,plain,
    ! [X0] :
      ( cons(sK24(X0),sK19) = app(cons(sK24(X0),nil),sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1785,f463]) ).

fof(f1824,plain,
    ! [X0] :
      ( cons(sK23(X0),sK19) = app(cons(sK23(X0),nil),sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1785,f458]) ).

fof(f1822,plain,
    ! [X0] :
      ( cons(hd(X0),sK19) = app(cons(hd(X0),nil),sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1785,f460]) ).

fof(f1785,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,sK19) = app(cons(X0,nil),sK19) ),
    inference(resolution,[],[f560,f375]) ).

fof(f1816,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK66(X1,X2)) = app(cons(X0,nil),sK66(X1,X2))
      | ~ frontsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f581]) ).

fof(f1815,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK65(X1,X2)) = app(cons(X0,nil),sK65(X1,X2))
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f578]) ).

fof(f1814,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK64(X1,X2)) = app(cons(X0,nil),sK64(X1,X2))
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f577]) ).

fof(f1813,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK63(X1,X2)) = app(cons(X0,nil),sK63(X1,X2))
      | ~ rearsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f574]) ).

fof(f1812,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK62(X1,X2)) = app(cons(X0,nil),sK62(X1,X2))
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f562]) ).

fof(f1811,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK61(X1,X2)) = app(cons(X0,nil),sK61(X1,X2))
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f561]) ).

fof(f1810,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK60(X1)) = app(cons(X0,nil),sK60(X1))
      | sP16(X1) ),
    inference(resolution,[],[f560,f545]) ).

fof(f1809,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK59(X1)) = app(cons(X0,nil),sK59(X1))
      | sP16(X1) ),
    inference(resolution,[],[f560,f544]) ).

fof(f1808,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK58(X1)) = app(cons(X0,nil),sK58(X1))
      | sP16(X1) ),
    inference(resolution,[],[f560,f543]) ).

fof(f1807,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK55(X1)) = app(cons(X0,nil),sK55(X1))
      | sP14(X1) ),
    inference(resolution,[],[f560,f534]) ).

fof(f1806,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK54(X1)) = app(cons(X0,nil),sK54(X1))
      | sP14(X1) ),
    inference(resolution,[],[f560,f533]) ).

fof(f1805,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK53(X1)) = app(cons(X0,nil),sK53(X1))
      | sP14(X1) ),
    inference(resolution,[],[f560,f532]) ).

fof(f1804,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK50(X1)) = app(cons(X0,nil),sK50(X1))
      | sP12(X1) ),
    inference(resolution,[],[f560,f522]) ).

fof(f1803,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK49(X1)) = app(cons(X0,nil),sK49(X1))
      | sP12(X1) ),
    inference(resolution,[],[f560,f521]) ).

fof(f1802,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK48(X1)) = app(cons(X0,nil),sK48(X1))
      | sP12(X1) ),
    inference(resolution,[],[f560,f520]) ).

fof(f1801,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK45(X1)) = app(cons(X0,nil),sK45(X1))
      | sP10(X1) ),
    inference(resolution,[],[f560,f510]) ).

fof(f1800,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK44(X1)) = app(cons(X0,nil),sK44(X1))
      | sP10(X1) ),
    inference(resolution,[],[f560,f509]) ).

fof(f1799,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK43(X1)) = app(cons(X0,nil),sK43(X1))
      | sP10(X1) ),
    inference(resolution,[],[f560,f508]) ).

fof(f1798,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK40(X1)) = app(cons(X0,nil),sK40(X1))
      | sP8(X1) ),
    inference(resolution,[],[f560,f498]) ).

fof(f1797,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK39(X1)) = app(cons(X0,nil),sK39(X1))
      | sP8(X1) ),
    inference(resolution,[],[f560,f497]) ).

fof(f1796,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK38(X1)) = app(cons(X0,nil),sK38(X1))
      | sP8(X1) ),
    inference(resolution,[],[f560,f496]) ).

fof(f1795,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK35(X1)) = app(cons(X0,nil),sK35(X1))
      | sP6(X1) ),
    inference(resolution,[],[f560,f487]) ).

fof(f1794,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK34(X1)) = app(cons(X0,nil),sK34(X1))
      | sP6(X1) ),
    inference(resolution,[],[f560,f486]) ).

fof(f1793,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK33(X1)) = app(cons(X0,nil),sK33(X1))
      | sP6(X1) ),
    inference(resolution,[],[f560,f485]) ).

fof(f1792,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK30(X1)) = app(cons(X0,nil),sK30(X1))
      | sP4(X1) ),
    inference(resolution,[],[f560,f476]) ).

fof(f1791,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK29(X1)) = app(cons(X0,nil),sK29(X1))
      | sP4(X1) ),
    inference(resolution,[],[f560,f475]) ).

fof(f1790,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK25(X1)) = app(cons(X0,nil),sK25(X1))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f465]) ).

fof(f1788,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK22(X1)) = app(cons(X0,nil),sK22(X1))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f457]) ).

fof(f1820,plain,
    ! [X0] :
      ( cons(X0,sK19) = app(cons(X0,nil),sK19)
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[],[f1787,f378]) ).

fof(f1787,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,sK21) = app(cons(X0,nil),sK21) ),
    inference(resolution,[],[f560,f377]) ).

fof(f1782,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f461]) ).

fof(f1781,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,nil) = app(cons(X0,nil),nil) ),
    inference(resolution,[],[f560,f393]) ).

fof(f1780,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(X1,X2)) = app(cons(X0,nil),app(X1,X2))
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f565]) ).

fof(f1779,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f560,f555]) ).

fof(f1731,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK57(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1118,f438]) ).

fof(f1118,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK19 = tl(cons(sK57(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f957,f653]) ).

fof(f1727,plain,
    ! [X0] :
      ( sP12(X0)
      | sK46(X0) = sK47(X0) ),
    inference(subsumption_resolution,[],[f1726,f519]) ).

fof(f1726,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ ssItem(sK47(X0))
      | sP12(X0) ),
    inference(subsumption_resolution,[],[f1725,f518]) ).

fof(f1725,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ ssItem(sK46(X0))
      | ~ ssItem(sK47(X0))
      | sP12(X0) ),
    inference(subsumption_resolution,[],[f1722,f525]) ).

fof(f1722,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ leq(sK47(X0),sK46(X0))
      | ~ ssItem(sK46(X0))
      | ~ ssItem(sK47(X0))
      | sP12(X0) ),
    inference(resolution,[],[f409,f524]) ).

fof(f1730,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | sP12(X0) ),
    inference(subsumption_resolution,[],[f1729,f518]) ).

fof(f1729,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ ssItem(sK46(X0))
      | sP12(X0) ),
    inference(subsumption_resolution,[],[f1728,f519]) ).

fof(f1728,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ ssItem(sK47(X0))
      | ~ ssItem(sK46(X0))
      | sP12(X0) ),
    inference(subsumption_resolution,[],[f1723,f524]) ).

fof(f1723,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ leq(sK46(X0),sK47(X0))
      | ~ ssItem(sK47(X0))
      | ~ ssItem(sK46(X0))
      | sP12(X0) ),
    inference(resolution,[],[f409,f525]) ).

fof(f1721,plain,
    ! [X0,X1] :
      ( hd(X0) = X1
      | ~ leq(hd(X0),X1)
      | ~ ssItem(X1)
      | ~ ssItem(hd(X0))
      | nil = X0
      | ~ sP0(X0,X1) ),
    inference(resolution,[],[f409,f434]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ leq(X1,X0)
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ leq(X1,X0)
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( ( leq(X1,X0)
              & leq(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f1658,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ geq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X0,X1) ),
    inference(duplicate_literal_removal,[],[f1657]) ).

fof(f1657,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ geq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1) ),
    inference(resolution,[],[f408,f415]) ).

fof(f408,plain,
    ! [X0,X1] :
      ( ~ geq(X1,X0)
      | X0 = X1
      | ~ geq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ geq(X1,X0)
          | ~ geq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ geq(X1,X0)
          | ~ geq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( ( geq(X1,X0)
              & geq(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).

fof(f1592,plain,
    ! [X0] :
      ( ~ leq(sK56(X0),sK57(X0))
      | sK56(X0) = sK57(X0)
      | sP16(X0) ),
    inference(subsumption_resolution,[],[f1591,f541]) ).

fof(f1591,plain,
    ! [X0] :
      ( sK56(X0) = sK57(X0)
      | ~ leq(sK56(X0),sK57(X0))
      | ~ ssItem(sK56(X0))
      | sP16(X0) ),
    inference(subsumption_resolution,[],[f1583,f542]) ).

fof(f1583,plain,
    ! [X0] :
      ( sK56(X0) = sK57(X0)
      | ~ leq(sK56(X0),sK57(X0))
      | ~ ssItem(sK57(X0))
      | ~ ssItem(sK56(X0))
      | sP16(X0) ),
    inference(resolution,[],[f406,f547]) ).

fof(f1590,plain,
    ! [X0] :
      ( ~ leq(sK42(X0),sK41(X0))
      | sK41(X0) = sK42(X0)
      | sP10(X0) ),
    inference(subsumption_resolution,[],[f1589,f507]) ).

fof(f1589,plain,
    ! [X0] :
      ( sK41(X0) = sK42(X0)
      | ~ leq(sK42(X0),sK41(X0))
      | ~ ssItem(sK42(X0))
      | sP10(X0) ),
    inference(subsumption_resolution,[],[f1582,f506]) ).

fof(f1582,plain,
    ! [X0] :
      ( sK41(X0) = sK42(X0)
      | ~ leq(sK42(X0),sK41(X0))
      | ~ ssItem(sK41(X0))
      | ~ ssItem(sK42(X0))
      | sP10(X0) ),
    inference(resolution,[],[f406,f513]) ).

fof(f1588,plain,
    ! [X0] :
      ( ~ leq(sK41(X0),sK42(X0))
      | sK41(X0) = sK42(X0)
      | sP10(X0) ),
    inference(subsumption_resolution,[],[f1587,f506]) ).

fof(f1587,plain,
    ! [X0] :
      ( sK41(X0) = sK42(X0)
      | ~ leq(sK41(X0),sK42(X0))
      | ~ ssItem(sK41(X0))
      | sP10(X0) ),
    inference(subsumption_resolution,[],[f1581,f507]) ).

fof(f1581,plain,
    ! [X0] :
      ( sK41(X0) = sK42(X0)
      | ~ leq(sK41(X0),sK42(X0))
      | ~ ssItem(sK42(X0))
      | ~ ssItem(sK41(X0))
      | sP10(X0) ),
    inference(resolution,[],[f406,f512]) ).

fof(f1580,plain,
    ! [X0,X1] :
      ( hd(X1) = X0
      | ~ leq(X0,hd(X1))
      | ~ ssItem(hd(X1))
      | ~ ssItem(X0)
      | sP2(X1,X0)
      | ~ strictorderedP(X1)
      | nil = X1 ),
    inference(resolution,[],[f406,f444]) ).

fof(f1584,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ lt(X1,X0) ),
    inference(duplicate_literal_removal,[],[f1579]) ).

fof(f1579,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ lt(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1) ),
    inference(resolution,[],[f406,f407]) ).

fof(f406,plain,
    ! [X0,X1] :
      ( lt(X0,X1)
      | X0 = X1
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( lt(X0,X1)
          | X0 = X1
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( lt(X0,X1)
          | X0 = X1
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( leq(X0,X1)
           => ( lt(X0,X1)
              | X0 = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).

fof(f585,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f370]) ).

fof(f370,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f369]) ).

fof(f369,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f202]) ).

fof(f202,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

fof(f584,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f370]) ).

fof(f1438,plain,
    ( sK19 != tl(sK19)
    | ~ ssItem(hd(sK19))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1437,f375]) ).

fof(f1437,plain,
    ( sK19 != tl(sK19)
    | ~ ssItem(hd(sK19))
    | ~ ssList(sK19)
    | spl69_5 ),
    inference(inner_rewriting,[],[f1434]) ).

fof(f1435,plain,
    ( memberP(sK19,hd(sK19))
    | ~ ssList(tl(sK19))
    | ~ ssItem(hd(sK19))
    | spl69_5 ),
    inference(superposition,[],[f633,f1423]) ).

fof(f1434,plain,
    ( sK19 != tl(sK19)
    | ~ ssItem(hd(sK19))
    | ~ ssList(tl(sK19))
    | spl69_5 ),
    inference(superposition,[],[f557,f1423]) ).

fof(f1429,plain,
    ( totalorderedP(sK19)
    | ~ sP0(tl(sK19),hd(sK19))
    | ~ sP1(hd(sK19),tl(sK19))
    | spl69_5 ),
    inference(superposition,[],[f431,f1423]) ).

fof(f1421,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f581]) ).

fof(f1420,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK65(X0,X1) = cons(hd(sK65(X0,X1)),tl(sK65(X0,X1)))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f578]) ).

fof(f1419,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK64(X0,X1) = cons(hd(sK64(X0,X1)),tl(sK64(X0,X1)))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f577]) ).

fof(f1418,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK63(X0,X1) = cons(hd(sK63(X0,X1)),tl(sK63(X0,X1)))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f574]) ).

fof(f1417,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK62(X0,X1) = cons(hd(sK62(X0,X1)),tl(sK62(X0,X1)))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f562]) ).

fof(f1416,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK61(X0,X1) = cons(hd(sK61(X0,X1)),tl(sK61(X0,X1)))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f561]) ).

fof(f1415,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK60(X0) = cons(hd(sK60(X0)),tl(sK60(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f462,f545]) ).

fof(f1414,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK59(X0) = cons(hd(sK59(X0)),tl(sK59(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f462,f544]) ).

fof(f1413,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK58(X0) = cons(hd(sK58(X0)),tl(sK58(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f462,f543]) ).

fof(f1412,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK55(X0) = cons(hd(sK55(X0)),tl(sK55(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f462,f534]) ).

fof(f1411,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK54(X0) = cons(hd(sK54(X0)),tl(sK54(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f462,f533]) ).

fof(f1410,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK53(X0) = cons(hd(sK53(X0)),tl(sK53(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f462,f532]) ).

fof(f1409,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK50(X0) = cons(hd(sK50(X0)),tl(sK50(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f462,f522]) ).

fof(f1408,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK49(X0) = cons(hd(sK49(X0)),tl(sK49(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f462,f521]) ).

fof(f1407,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK48(X0) = cons(hd(sK48(X0)),tl(sK48(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f462,f520]) ).

fof(f1406,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK45(X0) = cons(hd(sK45(X0)),tl(sK45(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f462,f510]) ).

fof(f1405,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK44(X0) = cons(hd(sK44(X0)),tl(sK44(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f462,f509]) ).

fof(f1404,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK43(X0) = cons(hd(sK43(X0)),tl(sK43(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f462,f508]) ).

fof(f1403,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK40(X0) = cons(hd(sK40(X0)),tl(sK40(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f462,f498]) ).

fof(f1402,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK39(X0) = cons(hd(sK39(X0)),tl(sK39(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f462,f497]) ).

fof(f1401,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK38(X0) = cons(hd(sK38(X0)),tl(sK38(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f462,f496]) ).

fof(f1400,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK35(X0) = cons(hd(sK35(X0)),tl(sK35(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f462,f487]) ).

fof(f1399,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK34(X0) = cons(hd(sK34(X0)),tl(sK34(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f462,f486]) ).

fof(f1398,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK33(X0) = cons(hd(sK33(X0)),tl(sK33(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f462,f485]) ).

fof(f1397,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK30(X0) = cons(hd(sK30(X0)),tl(sK30(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f462,f476]) ).

fof(f1396,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK29(X0) = cons(hd(sK29(X0)),tl(sK29(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f462,f475]) ).

fof(f1395,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK25(X0) = cons(hd(sK25(X0)),tl(sK25(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f465]) ).

fof(f1394,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK22(X0) = cons(hd(sK22(X0)),tl(sK22(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f457]) ).

fof(f1427,plain,
    ( sK19 = cons(hd(sK19),tl(sK19))
    | spl69_5 ),
    inference(forward_demodulation,[],[f1426,f378]) ).

fof(f1426,plain,
    ( sK21 = cons(hd(sK21),tl(sK21))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1425,f841]) ).

fof(f1425,plain,
    ( nil = sK19
    | sK21 = cons(hd(sK21),tl(sK21)) ),
    inference(forward_demodulation,[],[f1393,f378]) ).

fof(f1393,plain,
    ( nil = sK21
    | sK21 = cons(hd(sK21),tl(sK21)) ),
    inference(resolution,[],[f462,f377]) ).

fof(f1389,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f461]) ).

fof(f1387,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f565]) ).

fof(f1422,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1386,f556]) ).

fof(f1386,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f462,f555]) ).

fof(f1352,plain,
    ( sK19 != sK22(sK19)
    | ~ ssItem(sK23(sK19))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1351,f375]) ).

fof(f1351,plain,
    ( sK19 != sK22(sK19)
    | ~ ssItem(sK23(sK19))
    | ~ ssList(sK19)
    | spl69_5 ),
    inference(inner_rewriting,[],[f1348]) ).

fof(f1349,plain,
    ( memberP(sK19,sK23(sK19))
    | ~ ssList(sK22(sK19))
    | ~ ssItem(sK23(sK19))
    | spl69_5 ),
    inference(superposition,[],[f633,f1337]) ).

fof(f1348,plain,
    ( sK19 != sK22(sK19)
    | ~ ssItem(sK23(sK19))
    | ~ ssList(sK22(sK19))
    | spl69_5 ),
    inference(superposition,[],[f557,f1337]) ).

fof(f1343,plain,
    ( totalorderedP(sK19)
    | ~ sP0(sK22(sK19),sK23(sK19))
    | ~ sP1(sK23(sK19),sK22(sK19))
    | spl69_5 ),
    inference(superposition,[],[f431,f1337]) ).

fof(f1342,plain,
    ( ~ totalorderedP(sK19)
    | sP0(sK22(sK19),sK23(sK19))
    | ~ sP1(sK23(sK19),sK22(sK19))
    | spl69_5 ),
    inference(superposition,[],[f430,f1337]) ).

fof(f1335,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK66(X0,X1) = cons(sK23(sK66(X0,X1)),sK22(sK66(X0,X1)))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f581]) ).

fof(f1334,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK65(X0,X1) = cons(sK23(sK65(X0,X1)),sK22(sK65(X0,X1)))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f578]) ).

fof(f1333,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK64(X0,X1) = cons(sK23(sK64(X0,X1)),sK22(sK64(X0,X1)))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f577]) ).

fof(f1332,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK63(X0,X1) = cons(sK23(sK63(X0,X1)),sK22(sK63(X0,X1)))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f574]) ).

fof(f1331,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK62(X0,X1) = cons(sK23(sK62(X0,X1)),sK22(sK62(X0,X1)))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f562]) ).

fof(f1330,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK61(X0,X1) = cons(sK23(sK61(X0,X1)),sK22(sK61(X0,X1)))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f561]) ).

fof(f1329,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK60(X0) = cons(sK23(sK60(X0)),sK22(sK60(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f459,f545]) ).

fof(f1328,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK59(X0) = cons(sK23(sK59(X0)),sK22(sK59(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f459,f544]) ).

fof(f1327,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK58(X0) = cons(sK23(sK58(X0)),sK22(sK58(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f459,f543]) ).

fof(f1326,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK55(X0) = cons(sK23(sK55(X0)),sK22(sK55(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f459,f534]) ).

fof(f1325,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK54(X0) = cons(sK23(sK54(X0)),sK22(sK54(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f459,f533]) ).

fof(f1324,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK53(X0) = cons(sK23(sK53(X0)),sK22(sK53(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f459,f532]) ).

fof(f1323,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK50(X0) = cons(sK23(sK50(X0)),sK22(sK50(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f459,f522]) ).

fof(f1322,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK49(X0) = cons(sK23(sK49(X0)),sK22(sK49(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f459,f521]) ).

fof(f1321,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK48(X0) = cons(sK23(sK48(X0)),sK22(sK48(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f459,f520]) ).

fof(f1320,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK45(X0) = cons(sK23(sK45(X0)),sK22(sK45(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f459,f510]) ).

fof(f1319,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK44(X0) = cons(sK23(sK44(X0)),sK22(sK44(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f459,f509]) ).

fof(f1318,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK43(X0) = cons(sK23(sK43(X0)),sK22(sK43(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f459,f508]) ).

fof(f1317,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK40(X0) = cons(sK23(sK40(X0)),sK22(sK40(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f459,f498]) ).

fof(f1316,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK39(X0) = cons(sK23(sK39(X0)),sK22(sK39(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f459,f497]) ).

fof(f1315,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK38(X0) = cons(sK23(sK38(X0)),sK22(sK38(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f459,f496]) ).

fof(f1314,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK35(X0) = cons(sK23(sK35(X0)),sK22(sK35(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f459,f487]) ).

fof(f1313,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK34(X0) = cons(sK23(sK34(X0)),sK22(sK34(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f459,f486]) ).

fof(f1312,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK33(X0) = cons(sK23(sK33(X0)),sK22(sK33(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f459,f485]) ).

fof(f1311,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK30(X0) = cons(sK23(sK30(X0)),sK22(sK30(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f459,f476]) ).

fof(f1310,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK29(X0) = cons(sK23(sK29(X0)),sK22(sK29(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f459,f475]) ).

fof(f1309,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK25(X0) = cons(sK23(sK25(X0)),sK22(sK25(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f465]) ).

fof(f1308,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK22(X0) = cons(sK23(sK22(X0)),sK22(sK22(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f457]) ).

fof(f1341,plain,
    ( sK19 = cons(sK23(sK19),sK22(sK19))
    | spl69_5 ),
    inference(forward_demodulation,[],[f1340,f378]) ).

fof(f1340,plain,
    ( sK21 = cons(sK23(sK21),sK22(sK21))
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1339,f841]) ).

fof(f1339,plain,
    ( nil = sK19
    | sK21 = cons(sK23(sK21),sK22(sK21)) ),
    inference(forward_demodulation,[],[f1307,f378]) ).

fof(f1307,plain,
    ( nil = sK21
    | sK21 = cons(sK23(sK21),sK22(sK21)) ),
    inference(resolution,[],[f459,f377]) ).

fof(f1303,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(sK23(tl(X0)),sK22(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f461]) ).

fof(f1301,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | app(X0,X1) = cons(sK23(app(X0,X1)),sK22(app(X0,X1)))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f565]) ).

fof(f1336,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = cons(sK23(cons(X0,X1)),sK22(cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1300,f556]) ).

fof(f1300,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | cons(X0,X1) = cons(sK23(cons(X0,X1)),sK22(cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f459,f555]) ).

fof(f1296,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK56(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1117,f438]) ).

fof(f1117,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK19 = tl(cons(sK56(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f956,f653]) ).

fof(f1295,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK52(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1116,f430]) ).

fof(f1116,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK19 = tl(cons(sK52(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f955,f651]) ).

fof(f1294,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK51(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1115,f430]) ).

fof(f1115,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK19 = tl(cons(sK51(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f954,f651]) ).

fof(f1291,plain,
    ! [X0] :
      ( sK19 = tl(cons(sK26(cons(X0,nil)),sK19))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f1290]) ).

fof(f1290,plain,
    ! [X0] :
      ( sK19 = tl(cons(sK26(cons(X0,nil)),sK19))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(resolution,[],[f943,f610]) ).

fof(f943,plain,
    ! [X0] :
      ( ~ singletonP(X0)
      | sK19 = tl(cons(sK26(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f891,f467]) ).

fof(f1272,plain,
    ! [X0] :
      ( sK26(X0) = hd(cons(sK26(X0),nil))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f964,f467]) ).

fof(f1271,plain,
    ! [X0] :
      ( sK24(X0) = hd(cons(sK24(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f964,f463]) ).

fof(f1270,plain,
    ! [X0] :
      ( sK23(X0) = hd(cons(sK23(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f964,f458]) ).

fof(f1269,plain,
    ! [X0] :
      ( hd(X0) = hd(cons(hd(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f964,f460]) ).

fof(f964,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,nil)) = X0 ),
    inference(resolution,[],[f559,f393]) ).

fof(f1252,plain,
    ! [X0] :
      ( nil = tl(cons(sK26(X0),nil))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f888,f467]) ).

fof(f1251,plain,
    ! [X0] :
      ( nil = tl(cons(sK24(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f888,f463]) ).

fof(f1250,plain,
    ! [X0] :
      ( nil = tl(cons(sK23(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f888,f458]) ).

fof(f1249,plain,
    ! [X0] :
      ( nil = tl(cons(hd(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f888,f460]) ).

fof(f888,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | nil = tl(cons(X0,nil)) ),
    inference(resolution,[],[f558,f393]) ).

fof(f1237,plain,
    ! [X0] :
      ( ~ lt(X0,sK68)
      | sP2(cons(sK68,sK19),X0)
      | ~ strictorderedP(cons(sK68,sK19))
      | nil = cons(sK68,sK19) ),
    inference(superposition,[],[f444,f1039]) ).

fof(f1236,plain,
    ! [X0] :
      ( ~ lt(X0,sK67)
      | sP2(cons(sK67,sK19),X0)
      | ~ strictorderedP(cons(sK67,sK19))
      | nil = cons(sK67,sK19) ),
    inference(superposition,[],[f444,f1038]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( ~ lt(X1,hd(X0))
      | sP2(X0,X1)
      | ~ strictorderedP(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f271]) ).

fof(f271,plain,
    ! [X0,X1] :
      ( ( sP2(X0,X1)
        | ( ( ~ lt(X1,hd(X0))
            | ~ strictorderedP(X0)
            | nil = X0 )
          & nil != X0 ) )
      & ( ( lt(X1,hd(X0))
          & strictorderedP(X0)
          & nil != X0 )
        | nil = X0
        | ~ sP2(X0,X1) ) ),
    inference(rectify,[],[f270]) ).

fof(f270,plain,
    ! [X1,X0] :
      ( ( sP2(X1,X0)
        | ( ( ~ lt(X0,hd(X1))
            | ~ strictorderedP(X1)
            | nil = X1 )
          & nil != X1 ) )
      & ( ( lt(X0,hd(X1))
          & strictorderedP(X1)
          & nil != X1 )
        | nil = X1
        | ~ sP2(X1,X0) ) ),
    inference(flattening,[],[f269]) ).

fof(f269,plain,
    ! [X1,X0] :
      ( ( sP2(X1,X0)
        | ( ( ~ lt(X0,hd(X1))
            | ~ strictorderedP(X1)
            | nil = X1 )
          & nil != X1 ) )
      & ( ( lt(X0,hd(X1))
          & strictorderedP(X1)
          & nil != X1 )
        | nil = X1
        | ~ sP2(X1,X0) ) ),
    inference(nnf_transformation,[],[f226]) ).

fof(f226,plain,
    ! [X1,X0] :
      ( sP2(X1,X0)
    <=> ( ( lt(X0,hd(X1))
          & strictorderedP(X1)
          & nil != X1 )
        | nil = X1 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1221,plain,
    ! [X0] :
      ( ~ leq(X0,sK68)
      | sP0(cons(sK68,sK19),X0)
      | ~ totalorderedP(cons(sK68,sK19))
      | nil = cons(sK68,sK19) ),
    inference(superposition,[],[f436,f1039]) ).

fof(f1220,plain,
    ! [X0] :
      ( ~ leq(X0,sK67)
      | sP0(cons(sK67,sK19),X0)
      | ~ totalorderedP(cons(sK67,sK19))
      | nil = cons(sK67,sK19) ),
    inference(superposition,[],[f436,f1038]) ).

fof(f1217,plain,
    ! [X0] :
      ( sP0(X0,hd(X0))
      | ~ totalorderedP(X0)
      | nil = X0
      | ~ ssItem(hd(X0)) ),
    inference(resolution,[],[f436,f397]) ).

fof(f436,plain,
    ! [X0,X1] :
      ( ~ leq(X1,hd(X0))
      | sP0(X0,X1)
      | ~ totalorderedP(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f267]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ( ( ~ leq(X1,hd(X0))
            | ~ totalorderedP(X0)
            | nil = X0 )
          & nil != X0 ) )
      & ( ( leq(X1,hd(X0))
          & totalorderedP(X0)
          & nil != X0 )
        | nil = X0
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f266]) ).

fof(f266,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ( ( ~ leq(X0,hd(X1))
            | ~ totalorderedP(X1)
            | nil = X1 )
          & nil != X1 ) )
      & ( ( leq(X0,hd(X1))
          & totalorderedP(X1)
          & nil != X1 )
        | nil = X1
        | ~ sP0(X1,X0) ) ),
    inference(flattening,[],[f265]) ).

fof(f265,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ( ( ~ leq(X0,hd(X1))
            | ~ totalorderedP(X1)
            | nil = X1 )
          & nil != X1 ) )
      & ( ( leq(X0,hd(X1))
          & totalorderedP(X1)
          & nil != X1 )
        | nil = X1
        | ~ sP0(X1,X0) ) ),
    inference(nnf_transformation,[],[f223]) ).

fof(f223,plain,
    ! [X1,X0] :
      ( sP0(X1,X0)
    <=> ( ( leq(X0,hd(X1))
          & totalorderedP(X1)
          & nil != X1 )
        | nil = X1 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1213,plain,
    ( tl(sK19) = sK25(sK19)
    | spl69_5 ),
    inference(global_subsumption,[],[f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f436,f444,f448,f447,f446,f459,f462,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f782,f414,f415,f417,f430,f431,f434,f438,f439,f442,f794,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f841,f466,f875,f846,f848,f883,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f877,f558,f886,f887,f888,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f940,f941,f942,f943,f958,f959,f559,f962,f963,f964,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1023,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060,f1061,f801,f1062,f610,f1087,f561,f1101,f1102,f1103,f1104,f1105,f1106,f944,f945,f946,f947,f948,f949,f950,f951,f952,f562,f1109,f1110,f1111,f1112,f1113,f1114,f953,f954,f1115,f955,f1116,f956,f1117,f957,f1118,f574,f1119,f1120,f1121,f1122,f1123,f1124,f577,f1134,f1135,f1136,f1137,f1138,f1139,f1024,f1025,f578,f1149,f1150,f1151,f1152,f1153,f1154,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1155,f1035,f1156,f1036,f1157,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1037,f1164,f1191,f850]) ).

fof(f1214,plain,
    ( tl(sK19) = sK25(sK19)
    | spl69_5 ),
    inference(global_subsumption,[],[f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f436,f444,f448,f447,f446,f459,f462,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f566,f567,f568,f569,f570,f571,f624,f575,f625,f579,f626,f582,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f782,f414,f415,f417,f430,f431,f434,f438,f439,f442,f794,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f841,f466,f875,f846,f848,f883,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f877,f558,f886,f887,f888,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f940,f941,f942,f943,f958,f959,f559,f962,f963,f964,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1023,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060,f1061,f801,f1062,f610,f1087,f561,f1101,f1102,f1103,f1104,f1105,f1106,f944,f945,f946,f947,f948,f949,f950,f951,f952,f562,f1109,f1110,f1111,f1112,f1113,f1114,f953,f954,f1115,f955,f1116,f956,f1117,f957,f1118,f574,f1119,f1120,f1121,f1122,f1123,f1124,f577,f1134,f1135,f1136,f1137,f1138,f1139,f1024,f1025,f578,f1149,f1150,f1151,f1152,f1153,f1154,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1155,f1035,f1156,f1036,f1157,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1037,f1164,f850,f1213,f1191]) ).

fof(f1191,plain,
    ( tl(sK19) = sK25(sK19)
    | nil = sK19 ),
    inference(forward_demodulation,[],[f881,f378]) ).

fof(f881,plain,
    ( nil = sK19
    | tl(sK21) = sK25(sK21) ),
    inference(forward_demodulation,[],[f852,f378]) ).

fof(f852,plain,
    ( nil = sK21
    | tl(sK21) = sK25(sK21) ),
    inference(resolution,[],[f466,f377]) ).

fof(f850,plain,
    ( nil = sK19
    | tl(sK19) = sK25(sK19) ),
    inference(resolution,[],[f466,f375]) ).

fof(f1037,plain,
    ! [X0] :
      ( sP16(X0)
      | sK57(X0) = hd(cons(sK57(X0),sK19)) ),
    inference(resolution,[],[f967,f542]) ).

fof(f1163,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK66(X0,X1) = app(sK66(X0,X1),nil) ),
    inference(resolution,[],[f581,f455]) ).

fof(f1162,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK66(X0,X1) = app(nil,sK66(X0,X1)) ),
    inference(resolution,[],[f581,f456]) ).

fof(f1161,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK66(X0,X1)
      | hd(sK66(X0,X1)) = sK24(sK66(X0,X1)) ),
    inference(resolution,[],[f581,f464]) ).

fof(f1160,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK66(X0,X1)
      | tl(sK66(X0,X1)) = sK25(sK66(X0,X1)) ),
    inference(resolution,[],[f581,f466]) ).

fof(f1159,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) ),
    inference(resolution,[],[f581,f558]) ).

fof(f1158,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK66(X0,X1))) = X2 ),
    inference(resolution,[],[f581,f559]) ).

fof(f581,plain,
    ! [X0,X1] :
      ( ssList(sK66(X0,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f368]) ).

fof(f1036,plain,
    ! [X0] :
      ( sP16(X0)
      | sK56(X0) = hd(cons(sK56(X0),sK19)) ),
    inference(resolution,[],[f967,f541]) ).

fof(f1035,plain,
    ! [X0] :
      ( sP14(X0)
      | sK52(X0) = hd(cons(sK52(X0),sK19)) ),
    inference(resolution,[],[f967,f531]) ).

fof(f1034,plain,
    ! [X0] :
      ( sP14(X0)
      | sK51(X0) = hd(cons(sK51(X0),sK19)) ),
    inference(resolution,[],[f967,f530]) ).

fof(f1033,plain,
    ! [X0] :
      ( sP12(X0)
      | sK47(X0) = hd(cons(sK47(X0),sK19)) ),
    inference(resolution,[],[f967,f519]) ).

fof(f1032,plain,
    ! [X0] :
      ( sP12(X0)
      | sK46(X0) = hd(cons(sK46(X0),sK19)) ),
    inference(resolution,[],[f967,f518]) ).

fof(f1031,plain,
    ! [X0] :
      ( sP10(X0)
      | sK42(X0) = hd(cons(sK42(X0),sK19)) ),
    inference(resolution,[],[f967,f507]) ).

fof(f1030,plain,
    ! [X0] :
      ( sP10(X0)
      | sK41(X0) = hd(cons(sK41(X0),sK19)) ),
    inference(resolution,[],[f967,f506]) ).

fof(f1029,plain,
    ! [X0] :
      ( sP8(X0)
      | sK37(X0) = hd(cons(sK37(X0),sK19)) ),
    inference(resolution,[],[f967,f495]) ).

fof(f1028,plain,
    ! [X0] :
      ( sP8(X0)
      | sK36(X0) = hd(cons(sK36(X0),sK19)) ),
    inference(resolution,[],[f967,f494]) ).

fof(f1027,plain,
    ! [X0] :
      ( sP6(X0)
      | sK32(X0) = hd(cons(sK32(X0),sK19)) ),
    inference(resolution,[],[f967,f484]) ).

fof(f1026,plain,
    ! [X0] :
      ( sP6(X0)
      | sK31(X0) = hd(cons(sK31(X0),sK19)) ),
    inference(resolution,[],[f967,f483]) ).

fof(f1154,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK65(X0,X1) = app(sK65(X0,X1),nil) ),
    inference(resolution,[],[f578,f455]) ).

fof(f1153,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK65(X0,X1) = app(nil,sK65(X0,X1)) ),
    inference(resolution,[],[f578,f456]) ).

fof(f1152,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK65(X0,X1)
      | hd(sK65(X0,X1)) = sK24(sK65(X0,X1)) ),
    inference(resolution,[],[f578,f464]) ).

fof(f1151,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK65(X0,X1)
      | tl(sK65(X0,X1)) = sK25(sK65(X0,X1)) ),
    inference(resolution,[],[f578,f466]) ).

fof(f1150,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) ),
    inference(resolution,[],[f578,f558]) ).

fof(f1149,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK65(X0,X1))) = X2 ),
    inference(resolution,[],[f578,f559]) ).

fof(f578,plain,
    ! [X0,X1] :
      ( ssList(sK65(X0,X1))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f364]) ).

fof(f1025,plain,
    ! [X0] :
      ( sP4(X0)
      | sK28(X0) = hd(cons(sK28(X0),sK19)) ),
    inference(resolution,[],[f967,f474]) ).

fof(f1024,plain,
    ! [X0] :
      ( sP4(X0)
      | sK27(X0) = hd(cons(sK27(X0),sK19)) ),
    inference(resolution,[],[f967,f473]) ).

fof(f1139,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK64(X0,X1) = app(sK64(X0,X1),nil) ),
    inference(resolution,[],[f577,f455]) ).

fof(f1138,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK64(X0,X1) = app(nil,sK64(X0,X1)) ),
    inference(resolution,[],[f577,f456]) ).

fof(f1137,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK64(X0,X1)
      | hd(sK64(X0,X1)) = sK24(sK64(X0,X1)) ),
    inference(resolution,[],[f577,f464]) ).

fof(f1136,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK64(X0,X1)
      | tl(sK64(X0,X1)) = sK25(sK64(X0,X1)) ),
    inference(resolution,[],[f577,f466]) ).

fof(f1135,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) ),
    inference(resolution,[],[f577,f558]) ).

fof(f1134,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK64(X0,X1))) = X2 ),
    inference(resolution,[],[f577,f559]) ).

fof(f577,plain,
    ! [X0,X1] :
      ( ssList(sK64(X0,X1))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f364]) ).

fof(f1124,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK63(X0,X1) = app(sK63(X0,X1),nil) ),
    inference(resolution,[],[f574,f455]) ).

fof(f1123,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK63(X0,X1) = app(nil,sK63(X0,X1)) ),
    inference(resolution,[],[f574,f456]) ).

fof(f1122,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK63(X0,X1)
      | hd(sK63(X0,X1)) = sK24(sK63(X0,X1)) ),
    inference(resolution,[],[f574,f464]) ).

fof(f1121,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK63(X0,X1)
      | tl(sK63(X0,X1)) = sK25(sK63(X0,X1)) ),
    inference(resolution,[],[f574,f466]) ).

fof(f1120,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK63(X0,X1) = tl(cons(X2,sK63(X0,X1))) ),
    inference(resolution,[],[f574,f558]) ).

fof(f1119,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK63(X0,X1))) = X2 ),
    inference(resolution,[],[f574,f559]) ).

fof(f574,plain,
    ! [X0,X1] :
      ( ssList(sK63(X0,X1))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f359]) ).

fof(f957,plain,
    ! [X0] :
      ( sP16(X0)
      | sK19 = tl(cons(sK57(X0),sK19)) ),
    inference(resolution,[],[f891,f542]) ).

fof(f956,plain,
    ! [X0] :
      ( sP16(X0)
      | sK19 = tl(cons(sK56(X0),sK19)) ),
    inference(resolution,[],[f891,f541]) ).

fof(f955,plain,
    ! [X0] :
      ( sP14(X0)
      | sK19 = tl(cons(sK52(X0),sK19)) ),
    inference(resolution,[],[f891,f531]) ).

fof(f954,plain,
    ! [X0] :
      ( sP14(X0)
      | sK19 = tl(cons(sK51(X0),sK19)) ),
    inference(resolution,[],[f891,f530]) ).

fof(f953,plain,
    ! [X0] :
      ( sP12(X0)
      | sK19 = tl(cons(sK47(X0),sK19)) ),
    inference(resolution,[],[f891,f519]) ).

fof(f1114,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK62(X0,X1) = app(sK62(X0,X1),nil) ),
    inference(resolution,[],[f562,f455]) ).

fof(f1113,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK62(X0,X1) = app(nil,sK62(X0,X1)) ),
    inference(resolution,[],[f562,f456]) ).

fof(f1112,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | nil = sK62(X0,X1)
      | hd(sK62(X0,X1)) = sK24(sK62(X0,X1)) ),
    inference(resolution,[],[f562,f464]) ).

fof(f1111,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | nil = sK62(X0,X1)
      | tl(sK62(X0,X1)) = sK25(sK62(X0,X1)) ),
    inference(resolution,[],[f562,f466]) ).

fof(f1110,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK62(X0,X1) = tl(cons(X2,sK62(X0,X1))) ),
    inference(resolution,[],[f562,f558]) ).

fof(f1109,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK62(X0,X1))) = X2 ),
    inference(resolution,[],[f562,f559]) ).

fof(f562,plain,
    ! [X0,X1] :
      ( ssList(sK62(X0,X1))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f354]) ).

fof(f952,plain,
    ! [X0] :
      ( sP12(X0)
      | sK19 = tl(cons(sK46(X0),sK19)) ),
    inference(resolution,[],[f891,f518]) ).

fof(f951,plain,
    ! [X0] :
      ( sP10(X0)
      | sK19 = tl(cons(sK42(X0),sK19)) ),
    inference(resolution,[],[f891,f507]) ).

fof(f950,plain,
    ! [X0] :
      ( sP10(X0)
      | sK19 = tl(cons(sK41(X0),sK19)) ),
    inference(resolution,[],[f891,f506]) ).

fof(f949,plain,
    ! [X0] :
      ( sP8(X0)
      | sK19 = tl(cons(sK37(X0),sK19)) ),
    inference(resolution,[],[f891,f495]) ).

fof(f948,plain,
    ! [X0] :
      ( sP8(X0)
      | sK19 = tl(cons(sK36(X0),sK19)) ),
    inference(resolution,[],[f891,f494]) ).

fof(f947,plain,
    ! [X0] :
      ( sP6(X0)
      | sK19 = tl(cons(sK32(X0),sK19)) ),
    inference(resolution,[],[f891,f484]) ).

fof(f946,plain,
    ! [X0] :
      ( sP6(X0)
      | sK19 = tl(cons(sK31(X0),sK19)) ),
    inference(resolution,[],[f891,f483]) ).

fof(f945,plain,
    ! [X0] :
      ( sP4(X0)
      | sK19 = tl(cons(sK28(X0),sK19)) ),
    inference(resolution,[],[f891,f474]) ).

fof(f944,plain,
    ! [X0] :
      ( sP4(X0)
      | sK19 = tl(cons(sK27(X0),sK19)) ),
    inference(resolution,[],[f891,f473]) ).

fof(f1106,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK61(X0,X1) = app(sK61(X0,X1),nil) ),
    inference(resolution,[],[f561,f455]) ).

fof(f1105,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK61(X0,X1) = app(nil,sK61(X0,X1)) ),
    inference(resolution,[],[f561,f456]) ).

fof(f1104,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | nil = sK61(X0,X1)
      | hd(sK61(X0,X1)) = sK24(sK61(X0,X1)) ),
    inference(resolution,[],[f561,f464]) ).

fof(f1103,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | nil = sK61(X0,X1)
      | tl(sK61(X0,X1)) = sK25(sK61(X0,X1)) ),
    inference(resolution,[],[f561,f466]) ).

fof(f1102,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK61(X0,X1) = tl(cons(X2,sK61(X0,X1))) ),
    inference(resolution,[],[f561,f558]) ).

fof(f1101,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK61(X0,X1))) = X2 ),
    inference(resolution,[],[f561,f559]) ).

fof(f561,plain,
    ! [X0,X1] :
      ( ssList(sK61(X0,X1))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f354]) ).

fof(f1087,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | cons(X0,nil) = cons(sK26(cons(X0,nil)),nil) ),
    inference(duplicate_literal_removal,[],[f1086]) ).

fof(f1086,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | cons(X0,nil) = cons(sK26(cons(X0,nil)),nil)
      | ~ ssList(cons(X0,nil)) ),
    inference(resolution,[],[f610,f468]) ).

fof(f610,plain,
    ! [X1] :
      ( singletonP(cons(X1,nil))
      | ~ ssItem(X1)
      | ~ ssList(cons(X1,nil)) ),
    inference(equality_resolution,[],[f469]) ).

fof(f469,plain,
    ! [X0,X1] :
      ( singletonP(X0)
      | cons(X1,nil) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f284,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ( cons(sK26(X0),nil) = X0
            & ssItem(sK26(X0)) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f282,f283]) ).

fof(f283,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,nil) = X0
          & ssItem(X2) )
     => ( cons(sK26(X0),nil) = X0
        & ssItem(sK26(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f282,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ? [X2] :
              ( cons(X2,nil) = X0
              & ssItem(X2) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f281]) ).

fof(f281,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ? [X1] :
              ( cons(X1,nil) = X0
              & ssItem(X1) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f1062,plain,
    nil = sK18,
    inference(global_subsumption,[],[f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f436,f444,f448,f447,f446,f459,f462,f610,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f562,f561,f566,f567,f568,f569,f570,f571,f624,f575,f574,f625,f579,f578,f577,f626,f582,f581,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f782,f414,f415,f417,f430,f431,f434,f438,f439,f442,f794,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f558,f886,f887,f888,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f559,f962,f963,f964,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060,f1061,f801]) ).

fof(f801,plain,
    ( nil = sK18
    | hd(sK18) = sK24(sK18) ),
    inference(resolution,[],[f464,f374]) ).

fof(f1061,plain,
    nil = sK18,
    inference(global_subsumption,[],[f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f436,f444,f448,f447,f446,f459,f462,f610,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f562,f561,f566,f567,f568,f569,f570,f571,f624,f575,f574,f625,f579,f578,f577,f626,f582,f581,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f782,f414,f415,f417,f430,f431,f434,f438,f439,f442,f794,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f558,f886,f887,f888,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f559,f962,f963,f964,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849,f1059,f1060]) ).

fof(f1060,plain,
    ( hd(sK18) = sK24(sK18)
    | nil = sK18 ),
    inference(forward_demodulation,[],[f829,f379]) ).

fof(f829,plain,
    ( nil = sK18
    | hd(sK20) = sK24(sK20) ),
    inference(forward_demodulation,[],[f803,f379]) ).

fof(f803,plain,
    ( nil = sK20
    | hd(sK20) = sK24(sK20) ),
    inference(resolution,[],[f464,f376]) ).

fof(f1059,plain,
    nil = sK18,
    inference(global_subsumption,[],[f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f436,f444,f448,f447,f446,f459,f462,f610,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f562,f561,f566,f567,f568,f569,f570,f571,f624,f575,f574,f625,f579,f578,f577,f626,f582,f581,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f782,f414,f415,f417,f430,f431,f434,f438,f439,f442,f794,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f558,f886,f887,f888,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f559,f962,f963,f964,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057,f1058,f849]) ).

fof(f849,plain,
    ( nil = sK18
    | tl(sK18) = sK25(sK18) ),
    inference(resolution,[],[f466,f374]) ).

fof(f1058,plain,
    nil = sK18,
    inference(global_subsumption,[],[f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f436,f444,f448,f447,f446,f459,f462,f610,f477,f611,f488,f631,f499,f614,f511,f615,f523,f616,f535,f617,f546,f618,f619,f620,f621,f560,f622,f563,f562,f561,f566,f567,f568,f569,f570,f571,f624,f575,f574,f625,f579,f578,f577,f626,f582,f581,f629,f585,f584,f587,f589,f588,f590,f591,f592,f593,f594,f595,f596,f597,f598,f374,f375,f376,f377,f382,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f641,f380,f384,f644,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f394,f395,f396,f397,f449,f450,f451,f452,f453,f454,f473,f474,f475,f476,f483,f484,f485,f486,f487,f494,f495,f496,f497,f498,f506,f507,f508,f509,f510,f518,f519,f520,f521,f522,f530,f531,f532,f533,f534,f541,f542,f543,f544,f545,f630,f635,f639,f398,f399,f400,f401,f402,f403,f404,f470,f480,f491,f503,f515,f527,f528,f538,f539,f645,f646,f647,f648,f649,f650,f651,f652,f653,f437,f445,f455,f683,f684,f659,f660,f456,f710,f711,f686,f687,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f714,f715,f458,f460,f461,f716,f717,f463,f465,f718,f719,f549,f551,f553,f555,f735,f736,f565,f737,f738,f556,f557,f633,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f748,f678,f749,f679,f750,f680,f751,f681,f752,f682,f753,f747,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f405,f701,f702,f703,f704,f756,f705,f757,f706,f758,f707,f759,f708,f760,f709,f761,f407,f411,f412,f762,f413,f782,f414,f415,f417,f430,f431,f434,f438,f439,f442,f794,f795,f796,f464,f827,f798,f800,f833,f805,f806,f807,f808,f809,f810,f811,f812,f813,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f802,f466,f875,f846,f848,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f468,f558,f886,f887,f888,f889,f916,f917,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f890,f918,f919,f920,f921,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f891,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f559,f962,f963,f964,f965,f992,f993,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f966,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f1056,f1057]) ).

fof(f1057,plain,
    ( tl(sK18) = sK25(sK18)
    | nil = sK18 ),
    inference(forward_demodulation,[],[f878,f379]) ).

fof(f878,plain,
    ( nil = sK18
    | tl(sK20) = sK25(sK20) ),
    inference(forward_demodulation,[],[f851,f379]) ).

fof(f851,plain,
    ( nil = sK20
    | tl(sK20) = sK25(sK20) ),
    inference(resolution,[],[f466,f376]) ).

fof(f1056,plain,
    nil = sK18,
    inference(subsumption_resolution,[],[f1055,f374]) ).

fof(f1055,plain,
    ( nil = sK18
    | ~ ssList(sK18) ),
    inference(subsumption_resolution,[],[f1046,f393]) ).

fof(f1046,plain,
    ( nil = sK18
    | ~ ssList(nil)
    | ~ ssList(sK18) ),
    inference(resolution,[],[f573,f384]) ).

fof(f923,plain,
    ! [X0] :
      ( sP4(X0)
      | sK18 = tl(cons(sK28(X0),sK18)) ),
    inference(resolution,[],[f890,f474]) ).

fof(f922,plain,
    ! [X0] :
      ( sP4(X0)
      | sK18 = tl(cons(sK27(X0),sK18)) ),
    inference(resolution,[],[f890,f473]) ).

fof(f1044,plain,
    ! [X0] :
      ( leq(X0,sK68)
      | nil = cons(sK68,sK19)
      | ~ sP0(cons(sK68,sK19),X0) ),
    inference(superposition,[],[f434,f1039]) ).

fof(f1043,plain,
    ! [X0] :
      ( lt(X0,sK68)
      | nil = cons(sK68,sK19)
      | ~ sP2(cons(sK68,sK19),X0) ),
    inference(superposition,[],[f442,f1039]) ).

fof(f1039,plain,
    sK68 = hd(cons(sK68,sK19)),
    inference(resolution,[],[f967,f600]) ).

fof(f1041,plain,
    ! [X0] :
      ( leq(X0,sK67)
      | nil = cons(sK67,sK19)
      | ~ sP0(cons(sK67,sK19),X0) ),
    inference(superposition,[],[f434,f1038]) ).

fof(f1040,plain,
    ! [X0] :
      ( lt(X0,sK67)
      | nil = cons(sK67,sK19)
      | ~ sP2(cons(sK67,sK19),X0) ),
    inference(superposition,[],[f442,f1038]) ).

fof(f1038,plain,
    sK67 = hd(cons(sK67,sK19)),
    inference(resolution,[],[f967,f599]) ).

fof(f1022,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK24(X0) = hd(cons(sK24(X0),sK19)) ),
    inference(resolution,[],[f967,f463]) ).

fof(f1021,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK23(X0) = hd(cons(sK23(X0),sK19)) ),
    inference(resolution,[],[f967,f458]) ).

fof(f1020,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | hd(X0) = hd(cons(hd(X0),sK19)) ),
    inference(resolution,[],[f967,f460]) ).

fof(f967,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK19)) = X0 ),
    inference(resolution,[],[f559,f375]) ).

fof(f1018,plain,
    ! [X0] :
      ( leq(X0,sK68)
      | nil = cons(sK68,sK18)
      | ~ sP0(cons(sK68,sK18),X0) ),
    inference(superposition,[],[f434,f1013]) ).

fof(f1017,plain,
    ! [X0] :
      ( lt(X0,sK68)
      | nil = cons(sK68,sK18)
      | ~ sP2(cons(sK68,sK18),X0) ),
    inference(superposition,[],[f442,f1013]) ).

fof(f1013,plain,
    sK68 = hd(cons(sK68,sK18)),
    inference(resolution,[],[f966,f600]) ).

fof(f1015,plain,
    ! [X0] :
      ( leq(X0,sK67)
      | nil = cons(sK67,sK18)
      | ~ sP0(cons(sK67,sK18),X0) ),
    inference(superposition,[],[f434,f1012]) ).

fof(f1014,plain,
    ! [X0] :
      ( lt(X0,sK67)
      | nil = cons(sK67,sK18)
      | ~ sP2(cons(sK67,sK18),X0) ),
    inference(superposition,[],[f442,f1012]) ).

fof(f1012,plain,
    sK67 = hd(cons(sK67,sK18)),
    inference(resolution,[],[f966,f599]) ).

fof(f1011,plain,
    ! [X0] :
      ( sK57(X0) = hd(cons(sK57(X0),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f966,f542]) ).

fof(f1010,plain,
    ! [X0] :
      ( sK56(X0) = hd(cons(sK56(X0),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f966,f541]) ).

fof(f1009,plain,
    ! [X0] :
      ( sK52(X0) = hd(cons(sK52(X0),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f966,f531]) ).

fof(f1008,plain,
    ! [X0] :
      ( sK51(X0) = hd(cons(sK51(X0),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f966,f530]) ).

fof(f1007,plain,
    ! [X0] :
      ( sK47(X0) = hd(cons(sK47(X0),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f966,f519]) ).

fof(f1006,plain,
    ! [X0] :
      ( sK46(X0) = hd(cons(sK46(X0),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f966,f518]) ).

fof(f1005,plain,
    ! [X0] :
      ( sK42(X0) = hd(cons(sK42(X0),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f966,f507]) ).

fof(f1004,plain,
    ! [X0] :
      ( sK41(X0) = hd(cons(sK41(X0),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f966,f506]) ).

fof(f1003,plain,
    ! [X0] :
      ( sK37(X0) = hd(cons(sK37(X0),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f966,f495]) ).

fof(f1002,plain,
    ! [X0] :
      ( sK36(X0) = hd(cons(sK36(X0),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f966,f494]) ).

fof(f1001,plain,
    ! [X0] :
      ( sK32(X0) = hd(cons(sK32(X0),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f966,f484]) ).

fof(f1000,plain,
    ! [X0] :
      ( sK31(X0) = hd(cons(sK31(X0),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f966,f483]) ).

fof(f999,plain,
    ! [X0] :
      ( sK28(X0) = hd(cons(sK28(X0),sK18))
      | sP4(X0) ),
    inference(resolution,[],[f966,f474]) ).

fof(f998,plain,
    ! [X0] :
      ( sK27(X0) = hd(cons(sK27(X0),sK18))
      | sP4(X0) ),
    inference(resolution,[],[f966,f473]) ).

fof(f997,plain,
    ! [X0] :
      ( sK26(X0) = hd(cons(sK26(X0),sK18))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f966,f467]) ).

fof(f996,plain,
    ! [X0] :
      ( sK24(X0) = hd(cons(sK24(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f966,f463]) ).

fof(f995,plain,
    ! [X0] :
      ( sK23(X0) = hd(cons(sK23(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f966,f458]) ).

fof(f994,plain,
    ! [X0] :
      ( hd(X0) = hd(cons(hd(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f966,f460]) ).

fof(f966,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK18)) = X0 ),
    inference(resolution,[],[f559,f374]) ).

fof(f991,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK60(X1))) = X0
      | sP16(X1) ),
    inference(resolution,[],[f559,f545]) ).

fof(f990,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK59(X1))) = X0
      | sP16(X1) ),
    inference(resolution,[],[f559,f544]) ).

fof(f989,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK58(X1))) = X0
      | sP16(X1) ),
    inference(resolution,[],[f559,f543]) ).

fof(f988,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK55(X1))) = X0
      | sP14(X1) ),
    inference(resolution,[],[f559,f534]) ).

fof(f987,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK54(X1))) = X0
      | sP14(X1) ),
    inference(resolution,[],[f559,f533]) ).

fof(f986,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK53(X1))) = X0
      | sP14(X1) ),
    inference(resolution,[],[f559,f532]) ).

fof(f985,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK50(X1))) = X0
      | sP12(X1) ),
    inference(resolution,[],[f559,f522]) ).

fof(f984,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK49(X1))) = X0
      | sP12(X1) ),
    inference(resolution,[],[f559,f521]) ).

fof(f983,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK48(X1))) = X0
      | sP12(X1) ),
    inference(resolution,[],[f559,f520]) ).

fof(f982,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK45(X1))) = X0
      | sP10(X1) ),
    inference(resolution,[],[f559,f510]) ).

fof(f981,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK44(X1))) = X0
      | sP10(X1) ),
    inference(resolution,[],[f559,f509]) ).

fof(f980,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK43(X1))) = X0
      | sP10(X1) ),
    inference(resolution,[],[f559,f508]) ).

fof(f979,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK40(X1))) = X0
      | sP8(X1) ),
    inference(resolution,[],[f559,f498]) ).

fof(f978,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK39(X1))) = X0
      | sP8(X1) ),
    inference(resolution,[],[f559,f497]) ).

fof(f977,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK38(X1))) = X0
      | sP8(X1) ),
    inference(resolution,[],[f559,f496]) ).

fof(f976,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK35(X1))) = X0
      | sP6(X1) ),
    inference(resolution,[],[f559,f487]) ).

fof(f975,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK34(X1))) = X0
      | sP6(X1) ),
    inference(resolution,[],[f559,f486]) ).

fof(f974,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK33(X1))) = X0
      | sP6(X1) ),
    inference(resolution,[],[f559,f485]) ).

fof(f973,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK30(X1))) = X0
      | sP4(X1) ),
    inference(resolution,[],[f559,f476]) ).

fof(f972,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK29(X1))) = X0
      | sP4(X1) ),
    inference(resolution,[],[f559,f475]) ).

fof(f971,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK25(X1))) = X0
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f559,f465]) ).

fof(f970,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK22(X1))) = X0
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f559,f457]) ).

fof(f993,plain,
    ! [X0] :
      ( hd(cons(X0,sK19)) = X0
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[],[f969,f378]) ).

fof(f969,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK21)) = X0 ),
    inference(resolution,[],[f559,f377]) ).

fof(f992,plain,
    ! [X0] :
      ( hd(cons(X0,sK18)) = X0
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[],[f968,f379]) ).

fof(f968,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK20)) = X0 ),
    inference(resolution,[],[f559,f376]) ).

fof(f965,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,tl(X1))) = X0
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f559,f461]) ).

fof(f963,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,app(X1,X2))) = X0
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f559,f565]) ).

fof(f962,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,cons(X1,X2))) = X0
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f559,f555]) ).

fof(f959,plain,
    sK19 = tl(cons(sK68,sK19)),
    inference(resolution,[],[f891,f600]) ).

fof(f958,plain,
    sK19 = tl(cons(sK67,sK19)),
    inference(resolution,[],[f891,f599]) ).

fof(f891,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | sK19 = tl(cons(X0,sK19)) ),
    inference(resolution,[],[f558,f375]) ).

fof(f937,plain,
    sK18 = tl(cons(sK68,sK18)),
    inference(resolution,[],[f890,f600]) ).

fof(f936,plain,
    sK18 = tl(cons(sK67,sK18)),
    inference(resolution,[],[f890,f599]) ).

fof(f935,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK57(X0),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f890,f542]) ).

fof(f934,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK56(X0),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f890,f541]) ).

fof(f933,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK52(X0),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f890,f531]) ).

fof(f932,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK51(X0),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f890,f530]) ).

fof(f931,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK47(X0),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f890,f519]) ).

fof(f930,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK46(X0),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f890,f518]) ).

fof(f929,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK42(X0),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f890,f507]) ).

fof(f928,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK41(X0),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f890,f506]) ).

fof(f927,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK37(X0),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f890,f495]) ).

fof(f926,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK36(X0),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f890,f494]) ).

fof(f925,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK32(X0),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f890,f484]) ).

fof(f924,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK31(X0),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f890,f483]) ).

fof(f921,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK26(X0),sK18))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f890,f467]) ).

fof(f920,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK24(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f890,f463]) ).

fof(f919,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK23(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f890,f458]) ).

fof(f918,plain,
    ! [X0] :
      ( sK18 = tl(cons(hd(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f890,f460]) ).

fof(f890,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | sK18 = tl(cons(X0,sK18)) ),
    inference(resolution,[],[f558,f374]) ).

fof(f915,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK60(X1) = tl(cons(X0,sK60(X1)))
      | sP16(X1) ),
    inference(resolution,[],[f558,f545]) ).

fof(f914,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK59(X1) = tl(cons(X0,sK59(X1)))
      | sP16(X1) ),
    inference(resolution,[],[f558,f544]) ).

fof(f913,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK58(X1) = tl(cons(X0,sK58(X1)))
      | sP16(X1) ),
    inference(resolution,[],[f558,f543]) ).

fof(f912,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK55(X1) = tl(cons(X0,sK55(X1)))
      | sP14(X1) ),
    inference(resolution,[],[f558,f534]) ).

fof(f911,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK54(X1) = tl(cons(X0,sK54(X1)))
      | sP14(X1) ),
    inference(resolution,[],[f558,f533]) ).

fof(f910,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK53(X1) = tl(cons(X0,sK53(X1)))
      | sP14(X1) ),
    inference(resolution,[],[f558,f532]) ).

fof(f909,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK50(X1) = tl(cons(X0,sK50(X1)))
      | sP12(X1) ),
    inference(resolution,[],[f558,f522]) ).

fof(f908,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK49(X1) = tl(cons(X0,sK49(X1)))
      | sP12(X1) ),
    inference(resolution,[],[f558,f521]) ).

fof(f907,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK48(X1) = tl(cons(X0,sK48(X1)))
      | sP12(X1) ),
    inference(resolution,[],[f558,f520]) ).

fof(f906,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK45(X1) = tl(cons(X0,sK45(X1)))
      | sP10(X1) ),
    inference(resolution,[],[f558,f510]) ).

fof(f905,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK44(X1) = tl(cons(X0,sK44(X1)))
      | sP10(X1) ),
    inference(resolution,[],[f558,f509]) ).

fof(f904,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK43(X1) = tl(cons(X0,sK43(X1)))
      | sP10(X1) ),
    inference(resolution,[],[f558,f508]) ).

fof(f903,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK40(X1) = tl(cons(X0,sK40(X1)))
      | sP8(X1) ),
    inference(resolution,[],[f558,f498]) ).

fof(f902,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK39(X1) = tl(cons(X0,sK39(X1)))
      | sP8(X1) ),
    inference(resolution,[],[f558,f497]) ).

fof(f901,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK38(X1) = tl(cons(X0,sK38(X1)))
      | sP8(X1) ),
    inference(resolution,[],[f558,f496]) ).

fof(f900,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK35(X1) = tl(cons(X0,sK35(X1)))
      | sP6(X1) ),
    inference(resolution,[],[f558,f487]) ).

fof(f899,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK34(X1) = tl(cons(X0,sK34(X1)))
      | sP6(X1) ),
    inference(resolution,[],[f558,f486]) ).

fof(f898,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK33(X1) = tl(cons(X0,sK33(X1)))
      | sP6(X1) ),
    inference(resolution,[],[f558,f485]) ).

fof(f897,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK30(X1) = tl(cons(X0,sK30(X1)))
      | sP4(X1) ),
    inference(resolution,[],[f558,f476]) ).

fof(f896,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK29(X1) = tl(cons(X0,sK29(X1)))
      | sP4(X1) ),
    inference(resolution,[],[f558,f475]) ).

fof(f895,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK25(X1) = tl(cons(X0,sK25(X1)))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f558,f465]) ).

fof(f894,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK22(X1) = tl(cons(X0,sK22(X1)))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f558,f457]) ).

fof(f917,plain,
    ! [X0] :
      ( sK19 = tl(cons(X0,sK19))
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[],[f893,f378]) ).

fof(f893,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | sK21 = tl(cons(X0,sK21)) ),
    inference(resolution,[],[f558,f377]) ).

fof(f916,plain,
    ! [X0] :
      ( sK18 = tl(cons(X0,sK18))
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[],[f892,f379]) ).

fof(f892,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | sK20 = tl(cons(X0,sK20)) ),
    inference(resolution,[],[f558,f376]) ).

fof(f889,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | tl(X1) = tl(cons(X0,tl(X1)))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f558,f461]) ).

fof(f887,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | app(X1,X2) = tl(cons(X0,app(X1,X2)))
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f558,f565]) ).

fof(f886,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f558,f555]) ).

fof(f877,plain,
    ( tl(sK19) = sK25(sK19)
    | spl69_5 ),
    inference(subsumption_resolution,[],[f850,f841]) ).

fof(f468,plain,
    ! [X0] :
      ( ~ singletonP(X0)
      | cons(sK26(X0),nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f874,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | tl(sK60(X0)) = sK25(sK60(X0))
      | sP16(X0) ),
    inference(resolution,[],[f466,f545]) ).

fof(f873,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | tl(sK59(X0)) = sK25(sK59(X0))
      | sP16(X0) ),
    inference(resolution,[],[f466,f544]) ).

fof(f872,plain,
    ! [X0] :
      ( sP16(X0)
      | tl(sK58(X0)) = sK25(sK58(X0))
      | nil = sK58(X0) ),
    inference(resolution,[],[f466,f543]) ).

fof(f871,plain,
    ! [X0] :
      ( sP14(X0)
      | tl(sK55(X0)) = sK25(sK55(X0))
      | nil = sK55(X0) ),
    inference(resolution,[],[f466,f534]) ).

fof(f870,plain,
    ! [X0] :
      ( sP14(X0)
      | tl(sK54(X0)) = sK25(sK54(X0))
      | nil = sK54(X0) ),
    inference(resolution,[],[f466,f533]) ).

fof(f869,plain,
    ! [X0] :
      ( sP14(X0)
      | tl(sK53(X0)) = sK25(sK53(X0))
      | nil = sK53(X0) ),
    inference(resolution,[],[f466,f532]) ).

fof(f868,plain,
    ! [X0] :
      ( sP12(X0)
      | tl(sK50(X0)) = sK25(sK50(X0))
      | nil = sK50(X0) ),
    inference(resolution,[],[f466,f522]) ).

fof(f867,plain,
    ! [X0] :
      ( sP12(X0)
      | tl(sK49(X0)) = sK25(sK49(X0))
      | nil = sK49(X0) ),
    inference(resolution,[],[f466,f521]) ).

fof(f866,plain,
    ! [X0] :
      ( sP12(X0)
      | tl(sK48(X0)) = sK25(sK48(X0))
      | nil = sK48(X0) ),
    inference(resolution,[],[f466,f520]) ).

fof(f865,plain,
    ! [X0] :
      ( sP10(X0)
      | tl(sK45(X0)) = sK25(sK45(X0))
      | nil = sK45(X0) ),
    inference(resolution,[],[f466,f510]) ).

fof(f864,plain,
    ! [X0] :
      ( sP10(X0)
      | tl(sK44(X0)) = sK25(sK44(X0))
      | nil = sK44(X0) ),
    inference(resolution,[],[f466,f509]) ).

fof(f863,plain,
    ! [X0] :
      ( sP10(X0)
      | tl(sK43(X0)) = sK25(sK43(X0))
      | nil = sK43(X0) ),
    inference(resolution,[],[f466,f508]) ).

fof(f862,plain,
    ! [X0] :
      ( sP8(X0)
      | tl(sK40(X0)) = sK25(sK40(X0))
      | nil = sK40(X0) ),
    inference(resolution,[],[f466,f498]) ).

fof(f861,plain,
    ! [X0] :
      ( sP8(X0)
      | tl(sK39(X0)) = sK25(sK39(X0))
      | nil = sK39(X0) ),
    inference(resolution,[],[f466,f497]) ).

fof(f860,plain,
    ! [X0] :
      ( sP8(X0)
      | tl(sK38(X0)) = sK25(sK38(X0))
      | nil = sK38(X0) ),
    inference(resolution,[],[f466,f496]) ).

fof(f859,plain,
    ! [X0] :
      ( sP6(X0)
      | tl(sK35(X0)) = sK25(sK35(X0))
      | nil = sK35(X0) ),
    inference(resolution,[],[f466,f487]) ).

fof(f858,plain,
    ! [X0] :
      ( sP6(X0)
      | tl(sK34(X0)) = sK25(sK34(X0))
      | nil = sK34(X0) ),
    inference(resolution,[],[f466,f486]) ).

fof(f857,plain,
    ! [X0] :
      ( sP6(X0)
      | tl(sK33(X0)) = sK25(sK33(X0))
      | nil = sK33(X0) ),
    inference(resolution,[],[f466,f485]) ).

fof(f856,plain,
    ! [X0] :
      ( sP4(X0)
      | tl(sK30(X0)) = sK25(sK30(X0))
      | nil = sK30(X0) ),
    inference(resolution,[],[f466,f476]) ).

fof(f855,plain,
    ! [X0] :
      ( sP4(X0)
      | tl(sK29(X0)) = sK25(sK29(X0))
      | nil = sK29(X0) ),
    inference(resolution,[],[f466,f475]) ).

fof(f854,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | tl(sK25(X0)) = sK25(sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f466,f465]) ).

fof(f853,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | tl(sK22(X0)) = sK25(sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f466,f457]) ).

fof(f883,plain,
    ( tl(sK19) = sK25(sK19)
    | spl69_5 ),
    inference(forward_demodulation,[],[f882,f378]) ).

fof(f882,plain,
    ( tl(sK21) = sK25(sK21)
    | spl69_5 ),
    inference(subsumption_resolution,[],[f881,f841]) ).

fof(f848,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(tl(X0)) = sK25(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f466,f461]) ).

fof(f846,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | tl(app(X0,X1)) = sK25(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f466,f565]) ).

fof(f875,plain,
    ! [X0,X1] :
      ( tl(cons(X0,X1)) = sK25(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f845,f556]) ).

fof(f845,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | tl(cons(X0,X1)) = sK25(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f466,f555]) ).

fof(f466,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | tl(X0) = sK25(X0) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f280,plain,
    ! [X0] :
      ( ( tl(X0) = sK25(X0)
        & ssList(sK25(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f159,f279]) ).

fof(f279,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
     => ( tl(X0) = sK25(X0)
        & ssList(sK25(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f158]) ).

fof(f158,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ? [X1] :
            ( tl(X0) = X1
            & ssList(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

fof(f802,plain,
    ( nil = sK19
    | hd(sK19) = sK24(sK19) ),
    inference(resolution,[],[f464,f375]) ).

fof(f826,plain,
    ! [X0] :
      ( sP16(X0)
      | hd(sK60(X0)) = sK24(sK60(X0))
      | nil = sK60(X0) ),
    inference(resolution,[],[f464,f545]) ).

fof(f825,plain,
    ! [X0] :
      ( sP16(X0)
      | hd(sK59(X0)) = sK24(sK59(X0))
      | nil = sK59(X0) ),
    inference(resolution,[],[f464,f544]) ).

fof(f824,plain,
    ! [X0] :
      ( sP16(X0)
      | hd(sK58(X0)) = sK24(sK58(X0))
      | nil = sK58(X0) ),
    inference(resolution,[],[f464,f543]) ).

fof(f823,plain,
    ! [X0] :
      ( sP14(X0)
      | hd(sK55(X0)) = sK24(sK55(X0))
      | nil = sK55(X0) ),
    inference(resolution,[],[f464,f534]) ).

fof(f822,plain,
    ! [X0] :
      ( sP14(X0)
      | hd(sK54(X0)) = sK24(sK54(X0))
      | nil = sK54(X0) ),
    inference(resolution,[],[f464,f533]) ).

fof(f821,plain,
    ! [X0] :
      ( sP14(X0)
      | hd(sK53(X0)) = sK24(sK53(X0))
      | nil = sK53(X0) ),
    inference(resolution,[],[f464,f532]) ).

fof(f820,plain,
    ! [X0] :
      ( sP12(X0)
      | hd(sK50(X0)) = sK24(sK50(X0))
      | nil = sK50(X0) ),
    inference(resolution,[],[f464,f522]) ).

fof(f819,plain,
    ! [X0] :
      ( sP12(X0)
      | hd(sK49(X0)) = sK24(sK49(X0))
      | nil = sK49(X0) ),
    inference(resolution,[],[f464,f521]) ).

fof(f818,plain,
    ! [X0] :
      ( sP12(X0)
      | hd(sK48(X0)) = sK24(sK48(X0))
      | nil = sK48(X0) ),
    inference(resolution,[],[f464,f520]) ).

fof(f817,plain,
    ! [X0] :
      ( sP10(X0)
      | hd(sK45(X0)) = sK24(sK45(X0))
      | nil = sK45(X0) ),
    inference(resolution,[],[f464,f510]) ).

fof(f816,plain,
    ! [X0] :
      ( sP10(X0)
      | hd(sK44(X0)) = sK24(sK44(X0))
      | nil = sK44(X0) ),
    inference(resolution,[],[f464,f509]) ).

fof(f815,plain,
    ! [X0] :
      ( sP10(X0)
      | hd(sK43(X0)) = sK24(sK43(X0))
      | nil = sK43(X0) ),
    inference(resolution,[],[f464,f508]) ).

fof(f814,plain,
    ! [X0] :
      ( sP8(X0)
      | hd(sK40(X0)) = sK24(sK40(X0))
      | nil = sK40(X0) ),
    inference(resolution,[],[f464,f498]) ).

fof(f813,plain,
    ! [X0] :
      ( sP8(X0)
      | hd(sK39(X0)) = sK24(sK39(X0))
      | nil = sK39(X0) ),
    inference(resolution,[],[f464,f497]) ).

fof(f812,plain,
    ! [X0] :
      ( sP8(X0)
      | hd(sK38(X0)) = sK24(sK38(X0))
      | nil = sK38(X0) ),
    inference(resolution,[],[f464,f496]) ).

fof(f811,plain,
    ! [X0] :
      ( sP6(X0)
      | hd(sK35(X0)) = sK24(sK35(X0))
      | nil = sK35(X0) ),
    inference(resolution,[],[f464,f487]) ).

fof(f810,plain,
    ! [X0] :
      ( sP6(X0)
      | hd(sK34(X0)) = sK24(sK34(X0))
      | nil = sK34(X0) ),
    inference(resolution,[],[f464,f486]) ).

fof(f809,plain,
    ! [X0] :
      ( sP6(X0)
      | hd(sK33(X0)) = sK24(sK33(X0))
      | nil = sK33(X0) ),
    inference(resolution,[],[f464,f485]) ).

fof(f808,plain,
    ! [X0] :
      ( sP4(X0)
      | hd(sK30(X0)) = sK24(sK30(X0))
      | nil = sK30(X0) ),
    inference(resolution,[],[f464,f476]) ).

fof(f807,plain,
    ! [X0] :
      ( sP4(X0)
      | hd(sK29(X0)) = sK24(sK29(X0))
      | nil = sK29(X0) ),
    inference(resolution,[],[f464,f475]) ).

fof(f806,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | hd(sK25(X0)) = sK24(sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f464,f465]) ).

fof(f805,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | hd(sK22(X0)) = sK24(sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f464,f457]) ).

fof(f833,plain,
    ( hd(sK19) = sK24(sK19)
    | nil = sK19 ),
    inference(forward_demodulation,[],[f832,f378]) ).

fof(f832,plain,
    ( nil = sK19
    | hd(sK21) = sK24(sK21) ),
    inference(forward_demodulation,[],[f804,f378]) ).

fof(f804,plain,
    ( nil = sK21
    | hd(sK21) = sK24(sK21) ),
    inference(resolution,[],[f464,f377]) ).

fof(f800,plain,
    ! [X0] :
      ( nil = tl(X0)
      | hd(tl(X0)) = sK24(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f464,f461]) ).

fof(f798,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | hd(app(X0,X1)) = sK24(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f464,f565]) ).

fof(f827,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | hd(cons(X0,X1)) = sK24(cons(X0,X1)) ),
    inference(subsumption_resolution,[],[f797,f556]) ).

fof(f797,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | hd(cons(X0,X1)) = sK24(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f464,f555]) ).

fof(f464,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | hd(X0) = sK24(X0) ),
    inference(cnf_transformation,[],[f278]) ).

fof(f278,plain,
    ! [X0] :
      ( ( hd(X0) = sK24(X0)
        & ssItem(sK24(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f157,f277]) ).

fof(f277,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
     => ( hd(X0) = sK24(X0)
        & ssItem(sK24(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ? [X1] :
            ( hd(X0) = X1
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).

fof(f796,plain,
    ! [X0,X1] :
      ( nil = X0
      | ~ sP2(X0,X1)
      | ~ lt(hd(X0),X1)
      | ~ ssItem(X1)
      | ~ ssItem(hd(X0)) ),
    inference(resolution,[],[f442,f407]) ).

fof(f795,plain,
    ! [X0,X1] :
      ( nil = X0
      | ~ sP2(X0,X1)
      | leq(X1,hd(X0))
      | ~ ssItem(hd(X0))
      | ~ ssItem(X1) ),
    inference(resolution,[],[f442,f417]) ).

fof(f442,plain,
    ! [X0,X1] :
      ( lt(X1,hd(X0))
      | nil = X0
      | ~ sP2(X0,X1) ),
    inference(cnf_transformation,[],[f271]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( strictorderedP(cons(X0,X1))
      | ~ sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,plain,
    ! [X0,X1] :
      ( ( ( strictorderedP(cons(X0,X1))
          | ~ sP2(X1,X0) )
        & ( sP2(X1,X0)
          | ~ strictorderedP(cons(X0,X1)) ) )
      | ~ sP3(X0,X1) ),
    inference(nnf_transformation,[],[f227]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ( strictorderedP(cons(X0,X1))
      <=> sP2(X1,X0) )
      | ~ sP3(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f438,plain,
    ! [X0,X1] :
      ( ~ strictorderedP(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f434,plain,
    ! [X0,X1] :
      ( leq(X1,hd(X0))
      | nil = X0
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f267]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( totalorderedP(cons(X0,X1))
      | ~ sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( ( ( totalorderedP(cons(X0,X1))
          | ~ sP0(X1,X0) )
        & ( sP0(X1,X0)
          | ~ totalorderedP(cons(X0,X1)) ) )
      | ~ sP1(X0,X1) ),
    inference(nnf_transformation,[],[f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( ( totalorderedP(cons(X0,X1))
      <=> sP0(X1,X0) )
      | ~ sP1(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f430,plain,
    ! [X0,X1] :
      ( ~ totalorderedP(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f417,plain,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f259]) ).

fof(f259,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( lt(X0,X1)
              | ~ leq(X0,X1)
              | X0 = X1 )
            & ( ( leq(X0,X1)
                & X0 != X1 )
              | ~ lt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f258]) ).

fof(f258,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( lt(X0,X1)
              | ~ leq(X0,X1)
              | X0 = X1 )
            & ( ( leq(X0,X1)
                & X0 != X1 )
              | ~ lt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( lt(X0,X1)
          <=> ( leq(X0,X1)
              & X0 != X1 ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( lt(X0,X1)
          <=> ( leq(X0,X1)
              & X0 != X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

fof(f415,plain,
    ! [X0,X1] :
      ( geq(X0,X1)
      | ~ leq(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( geq(X0,X1)
              | ~ leq(X1,X0) )
            & ( leq(X1,X0)
              | ~ geq(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( geq(X0,X1)
          <=> leq(X1,X0) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( geq(X0,X1)
          <=> leq(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

fof(f414,plain,
    ! [X0,X1] :
      ( ~ geq(X0,X1)
      | leq(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f413,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | ~ lt(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f256,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( gt(X0,X1)
              | ~ lt(X1,X0) )
            & ( lt(X1,X0)
              | ~ gt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( gt(X0,X1)
          <=> lt(X1,X0) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( gt(X0,X1)
          <=> lt(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

fof(f762,plain,
    ( nil = sK18
    | ~ ssItem(nil)
    | ~ ssItem(sK18) ),
    inference(resolution,[],[f411,f384]) ).

fof(f412,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | lt(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f255]) ).

fof(f255,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f407,plain,
    ! [X0,X1] :
      ( ~ lt(X1,X0)
      | ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ lt(X1,X0)
          | ~ lt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ lt(X1,X0)
          | ~ lt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( lt(X0,X1)
           => ~ lt(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).

fof(f761,plain,
    ! [X0] :
      ( sK60(X0) = app(nil,sK60(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f709,f653]) ).

fof(f709,plain,
    ! [X0] :
      ( sP16(X0)
      | sK60(X0) = app(nil,sK60(X0)) ),
    inference(resolution,[],[f456,f545]) ).

fof(f760,plain,
    ! [X0] :
      ( sK59(X0) = app(nil,sK59(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f708,f653]) ).

fof(f708,plain,
    ! [X0] :
      ( sP16(X0)
      | sK59(X0) = app(nil,sK59(X0)) ),
    inference(resolution,[],[f456,f544]) ).

fof(f759,plain,
    ! [X0] :
      ( sK58(X0) = app(nil,sK58(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f707,f653]) ).

fof(f707,plain,
    ! [X0] :
      ( sP16(X0)
      | sK58(X0) = app(nil,sK58(X0)) ),
    inference(resolution,[],[f456,f543]) ).

fof(f758,plain,
    ! [X0] :
      ( sK55(X0) = app(nil,sK55(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f706,f651]) ).

fof(f706,plain,
    ! [X0] :
      ( sP14(X0)
      | sK55(X0) = app(nil,sK55(X0)) ),
    inference(resolution,[],[f456,f534]) ).

fof(f757,plain,
    ! [X0] :
      ( sK54(X0) = app(nil,sK54(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f705,f651]) ).

fof(f705,plain,
    ! [X0] :
      ( sP14(X0)
      | sK54(X0) = app(nil,sK54(X0)) ),
    inference(resolution,[],[f456,f533]) ).

fof(f756,plain,
    ! [X0] :
      ( sK53(X0) = app(nil,sK53(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f704,f651]) ).

fof(f704,plain,
    ! [X0] :
      ( sP14(X0)
      | sK53(X0) = app(nil,sK53(X0)) ),
    inference(resolution,[],[f456,f532]) ).

fof(f703,plain,
    ! [X0] :
      ( sP12(X0)
      | sK50(X0) = app(nil,sK50(X0)) ),
    inference(resolution,[],[f456,f522]) ).

fof(f702,plain,
    ! [X0] :
      ( sP12(X0)
      | sK49(X0) = app(nil,sK49(X0)) ),
    inference(resolution,[],[f456,f521]) ).

fof(f701,plain,
    ! [X0] :
      ( sP12(X0)
      | sK48(X0) = app(nil,sK48(X0)) ),
    inference(resolution,[],[f456,f520]) ).

fof(f405,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ gt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X1,X0)
          | ~ gt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X1,X0)
          | ~ gt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( gt(X0,X1)
           => ~ gt(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).

fof(f700,plain,
    ! [X0] :
      ( sP10(X0)
      | sK45(X0) = app(nil,sK45(X0)) ),
    inference(resolution,[],[f456,f510]) ).

fof(f699,plain,
    ! [X0] :
      ( sP10(X0)
      | sK44(X0) = app(nil,sK44(X0)) ),
    inference(resolution,[],[f456,f509]) ).

fof(f698,plain,
    ! [X0] :
      ( sP10(X0)
      | sK43(X0) = app(nil,sK43(X0)) ),
    inference(resolution,[],[f456,f508]) ).

fof(f697,plain,
    ! [X0] :
      ( sP8(X0)
      | sK40(X0) = app(nil,sK40(X0)) ),
    inference(resolution,[],[f456,f498]) ).

fof(f696,plain,
    ! [X0] :
      ( sP8(X0)
      | sK39(X0) = app(nil,sK39(X0)) ),
    inference(resolution,[],[f456,f497]) ).

fof(f695,plain,
    ! [X0] :
      ( sP8(X0)
      | sK38(X0) = app(nil,sK38(X0)) ),
    inference(resolution,[],[f456,f496]) ).

fof(f694,plain,
    ! [X0] :
      ( sP6(X0)
      | sK35(X0) = app(nil,sK35(X0)) ),
    inference(resolution,[],[f456,f487]) ).

fof(f693,plain,
    ! [X0] :
      ( sP6(X0)
      | sK34(X0) = app(nil,sK34(X0)) ),
    inference(resolution,[],[f456,f486]) ).

fof(f692,plain,
    ! [X0] :
      ( sP6(X0)
      | sK33(X0) = app(nil,sK33(X0)) ),
    inference(resolution,[],[f456,f485]) ).

fof(f691,plain,
    ! [X0] :
      ( sP4(X0)
      | sK30(X0) = app(nil,sK30(X0)) ),
    inference(resolution,[],[f456,f476]) ).

fof(f690,plain,
    ! [X0] :
      ( sP4(X0)
      | sK29(X0) = app(nil,sK29(X0)) ),
    inference(resolution,[],[f456,f475]) ).

fof(f753,plain,
    ! [X0] :
      ( sK60(X0) = app(sK60(X0),nil)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f682,f653]) ).

fof(f682,plain,
    ! [X0] :
      ( sP16(X0)
      | sK60(X0) = app(sK60(X0),nil) ),
    inference(resolution,[],[f455,f545]) ).

fof(f752,plain,
    ! [X0] :
      ( sK59(X0) = app(sK59(X0),nil)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f681,f653]) ).

fof(f681,plain,
    ! [X0] :
      ( sP16(X0)
      | sK59(X0) = app(sK59(X0),nil) ),
    inference(resolution,[],[f455,f544]) ).

fof(f751,plain,
    ! [X0] :
      ( sK58(X0) = app(sK58(X0),nil)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f680,f653]) ).

fof(f680,plain,
    ! [X0] :
      ( sP16(X0)
      | sK58(X0) = app(sK58(X0),nil) ),
    inference(resolution,[],[f455,f543]) ).

fof(f750,plain,
    ! [X0] :
      ( sK55(X0) = app(sK55(X0),nil)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f679,f651]) ).

fof(f679,plain,
    ! [X0] :
      ( sP14(X0)
      | sK55(X0) = app(sK55(X0),nil) ),
    inference(resolution,[],[f455,f534]) ).

fof(f749,plain,
    ! [X0] :
      ( sK54(X0) = app(sK54(X0),nil)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f678,f651]) ).

fof(f678,plain,
    ! [X0] :
      ( sP14(X0)
      | sK54(X0) = app(sK54(X0),nil) ),
    inference(resolution,[],[f455,f533]) ).

fof(f748,plain,
    ! [X0] :
      ( sK53(X0) = app(sK53(X0),nil)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f677,f651]) ).

fof(f677,plain,
    ! [X0] :
      ( sP14(X0)
      | sK53(X0) = app(sK53(X0),nil) ),
    inference(resolution,[],[f455,f532]) ).

fof(f676,plain,
    ! [X0] :
      ( sP12(X0)
      | sK50(X0) = app(sK50(X0),nil) ),
    inference(resolution,[],[f455,f522]) ).

fof(f675,plain,
    ! [X0] :
      ( sP12(X0)
      | sK49(X0) = app(sK49(X0),nil) ),
    inference(resolution,[],[f455,f521]) ).

fof(f674,plain,
    ! [X0] :
      ( sP12(X0)
      | sK48(X0) = app(sK48(X0),nil) ),
    inference(resolution,[],[f455,f520]) ).

fof(f673,plain,
    ! [X0] :
      ( sP10(X0)
      | sK45(X0) = app(sK45(X0),nil) ),
    inference(resolution,[],[f455,f510]) ).

fof(f672,plain,
    ! [X0] :
      ( sP10(X0)
      | sK44(X0) = app(sK44(X0),nil) ),
    inference(resolution,[],[f455,f509]) ).

fof(f671,plain,
    ! [X0] :
      ( sP10(X0)
      | sK43(X0) = app(sK43(X0),nil) ),
    inference(resolution,[],[f455,f508]) ).

fof(f670,plain,
    ! [X0] :
      ( sP8(X0)
      | sK40(X0) = app(sK40(X0),nil) ),
    inference(resolution,[],[f455,f498]) ).

fof(f669,plain,
    ! [X0] :
      ( sP8(X0)
      | sK39(X0) = app(sK39(X0),nil) ),
    inference(resolution,[],[f455,f497]) ).

fof(f668,plain,
    ! [X0] :
      ( sP8(X0)
      | sK38(X0) = app(sK38(X0),nil) ),
    inference(resolution,[],[f455,f496]) ).

fof(f667,plain,
    ! [X0] :
      ( sP6(X0)
      | sK35(X0) = app(sK35(X0),nil) ),
    inference(resolution,[],[f455,f487]) ).

fof(f666,plain,
    ! [X0] :
      ( sP6(X0)
      | sK34(X0) = app(sK34(X0),nil) ),
    inference(resolution,[],[f455,f486]) ).

fof(f665,plain,
    ! [X0] :
      ( sP6(X0)
      | sK33(X0) = app(sK33(X0),nil) ),
    inference(resolution,[],[f455,f485]) ).

fof(f664,plain,
    ! [X0] :
      ( sP4(X0)
      | sK30(X0) = app(sK30(X0),nil) ),
    inference(resolution,[],[f455,f476]) ).

fof(f663,plain,
    ! [X0] :
      ( sP4(X0)
      | sK29(X0) = app(sK29(X0),nil) ),
    inference(resolution,[],[f455,f475]) ).

fof(f633,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f604]) ).

fof(f604,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f425]) ).

fof(f425,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | X0 != X1
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f261]) ).

fof(f557,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f556,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f738,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,X0) = app(app(X1,X0),nil) ),
    inference(resolution,[],[f565,f455]) ).

fof(f737,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,X0) = app(nil,app(X1,X0)) ),
    inference(resolution,[],[f565,f456]) ).

fof(f736,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | cons(X0,X1) = app(cons(X0,X1),nil) ),
    inference(resolution,[],[f555,f455]) ).

fof(f735,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | cons(X0,X1) = app(nil,cons(X0,X1)) ),
    inference(resolution,[],[f555,f456]) ).

fof(f555,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f553,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f349]) ).

fof(f349,plain,
    ! [X0] :
      ( ( ( frontsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ frontsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f177]) ).

fof(f177,plain,
    ! [X0] :
      ( ( frontsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

fof(f551,plain,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f348,plain,
    ! [X0] :
      ( ( ( segmentP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ segmentP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0] :
      ( ( segmentP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( segmentP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

fof(f549,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f347,plain,
    ! [X0] :
      ( ( ( rearsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ rearsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ( rearsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( rearsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

fof(f719,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK25(X0) = app(sK25(X0),nil) ),
    inference(resolution,[],[f465,f455]) ).

fof(f718,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK25(X0) = app(nil,sK25(X0)) ),
    inference(resolution,[],[f465,f456]) ).

fof(f465,plain,
    ! [X0] :
      ( ssList(sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f463,plain,
    ! [X0] :
      ( ssItem(sK24(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f278]) ).

fof(f717,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | tl(X0) = app(tl(X0),nil) ),
    inference(resolution,[],[f461,f455]) ).

fof(f716,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | tl(X0) = app(nil,tl(X0)) ),
    inference(resolution,[],[f461,f456]) ).

fof(f461,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f460,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f458,plain,
    ! [X0] :
      ( ssItem(sK23(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f715,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK22(X0) = app(sK22(X0),nil) ),
    inference(resolution,[],[f457,f455]) ).

fof(f714,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK22(X0) = app(nil,sK22(X0)) ),
    inference(resolution,[],[f457,f456]) ).

fof(f457,plain,
    ! [X0] :
      ( ssList(sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( ~ sP2(X0,X1)
      | nil = X0
      | strictorderedP(X0) ),
    inference(cnf_transformation,[],[f271]) ).

fof(f433,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | nil = X0
      | totalorderedP(X0) ),
    inference(cnf_transformation,[],[f267]) ).

fof(f547,plain,
    ! [X0] :
      ( ~ lt(sK56(X0),sK57(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f536,plain,
    ! [X0] :
      ( ~ leq(sK51(X0),sK52(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f337]) ).

fof(f525,plain,
    ! [X0] :
      ( leq(sK47(X0),sK46(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f524,plain,
    ! [X0] :
      ( leq(sK46(X0),sK47(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f513,plain,
    ! [X0] :
      ( ~ lt(sK42(X0),sK41(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f512,plain,
    ! [X0] :
      ( ~ lt(sK41(X0),sK42(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f501,plain,
    ! [X0] :
      ( ~ leq(sK37(X0),sK36(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f500,plain,
    ! [X0] :
      ( ~ leq(sK36(X0),sK37(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f489,plain,
    ! [X0] :
      ( sP6(X0)
      | sK31(X0) = sK32(X0) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f478,plain,
    ! [X0] :
      ( sK27(X0) != sK28(X0)
      | sP4(X0) ),
    inference(cnf_transformation,[],[f292]) ).

fof(f467,plain,
    ! [X0] :
      ( ssItem(sK26(X0))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f687,plain,
    sK19 = app(nil,sK19),
    inference(resolution,[],[f456,f375]) ).

fof(f686,plain,
    sK18 = app(nil,sK18),
    inference(resolution,[],[f456,f374]) ).

fof(f711,plain,
    sK19 = app(nil,sK19),
    inference(forward_demodulation,[],[f689,f378]) ).

fof(f689,plain,
    sK21 = app(nil,sK21),
    inference(resolution,[],[f456,f377]) ).

fof(f710,plain,
    sK18 = app(nil,sK18),
    inference(forward_demodulation,[],[f688,f379]) ).

fof(f688,plain,
    sK20 = app(nil,sK20),
    inference(resolution,[],[f456,f376]) ).

fof(f660,plain,
    sK19 = app(sK19,nil),
    inference(resolution,[],[f455,f375]) ).

fof(f659,plain,
    sK18 = app(sK18,nil),
    inference(resolution,[],[f455,f374]) ).

fof(f684,plain,
    sK19 = app(sK19,nil),
    inference(forward_demodulation,[],[f662,f378]) ).

fof(f662,plain,
    sK21 = app(sK21,nil),
    inference(resolution,[],[f455,f377]) ).

fof(f683,plain,
    sK18 = app(sK18,nil),
    inference(forward_demodulation,[],[f661,f379]) ).

fof(f661,plain,
    sK20 = app(sK20,nil),
    inference(resolution,[],[f455,f376]) ).

fof(f455,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f445,plain,
    ! [X0,X1] :
      ( sP3(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f228,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP3(X0,X1)
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(definition_folding,[],[f138,f227,f226]) ).

fof(f138,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( strictorderedP(cons(X0,X1))
          <=> ( ( lt(X0,hd(X1))
                & strictorderedP(X1)
                & nil != X1 )
              | nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( strictorderedP(cons(X0,X1))
          <=> ( ( lt(X0,hd(X1))
                & strictorderedP(X1)
                & nil != X1 )
              | nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).

fof(f437,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f225]) ).

fof(f225,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP1(X0,X1)
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(definition_folding,[],[f137,f224,f223]) ).

fof(f137,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( totalorderedP(cons(X0,X1))
          <=> ( ( leq(X0,hd(X1))
                & totalorderedP(X1)
                & nil != X1 )
              | nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( totalorderedP(cons(X0,X1))
          <=> ( ( leq(X0,hd(X1))
                & totalorderedP(X1)
                & nil != X1 )
              | nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

fof(f653,plain,
    ! [X0] :
      ( ~ sP16(X0)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f539,f548]) ).

fof(f652,plain,
    ! [X0] :
      ( sP16(X0)
      | ~ strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f538,f548]) ).

fof(f651,plain,
    ! [X0] :
      ( ~ sP14(X0)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f528,f537]) ).

fof(f650,plain,
    ! [X0] :
      ( sP14(X0)
      | ~ totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f527,f537]) ).

fof(f649,plain,
    ! [X0] :
      ( sP12(X0)
      | ~ cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f515,f526]) ).

fof(f648,plain,
    ! [X0] :
      ( sP10(X0)
      | ~ strictorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f503,f514]) ).

fof(f647,plain,
    ! [X0] :
      ( sP8(X0)
      | ~ totalorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f491,f502]) ).

fof(f645,plain,
    ! [X0] :
      ( sP4(X0)
      | ~ equalelemsP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f470,f479]) ).

fof(f539,plain,
    ! [X0] :
      ( ~ sP17(X0)
      | ~ sP16(X0)
      | strictorderedP(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f338,plain,
    ! [X0] :
      ( ( ( strictorderedP(X0)
          | ~ sP16(X0) )
        & ( sP16(X0)
          | ~ strictorderedP(X0) ) )
      | ~ sP17(X0) ),
    inference(nnf_transformation,[],[f248]) ).

fof(f248,plain,
    ! [X0] :
      ( ( strictorderedP(X0)
      <=> sP16(X0) )
      | ~ sP17(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f538,plain,
    ! [X0] :
      ( ~ sP17(X0)
      | ~ strictorderedP(X0)
      | sP16(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f528,plain,
    ! [X0] :
      ( ~ sP15(X0)
      | ~ sP14(X0)
      | totalorderedP(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f329,plain,
    ! [X0] :
      ( ( ( totalorderedP(X0)
          | ~ sP14(X0) )
        & ( sP14(X0)
          | ~ totalorderedP(X0) ) )
      | ~ sP15(X0) ),
    inference(nnf_transformation,[],[f245]) ).

fof(f245,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> sP14(X0) )
      | ~ sP15(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f527,plain,
    ! [X0] :
      ( ~ sP15(X0)
      | ~ totalorderedP(X0)
      | sP14(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f515,plain,
    ! [X0] :
      ( ~ sP13(X0)
      | ~ cyclefreeP(X0)
      | sP12(X0) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f320,plain,
    ! [X0] :
      ( ( ( cyclefreeP(X0)
          | ~ sP12(X0) )
        & ( sP12(X0)
          | ~ cyclefreeP(X0) ) )
      | ~ sP13(X0) ),
    inference(nnf_transformation,[],[f242]) ).

fof(f242,plain,
    ! [X0] :
      ( ( cyclefreeP(X0)
      <=> sP12(X0) )
      | ~ sP13(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f503,plain,
    ! [X0] :
      ( ~ sP11(X0)
      | ~ strictorderP(X0)
      | sP10(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f311,plain,
    ! [X0] :
      ( ( ( strictorderP(X0)
          | ~ sP10(X0) )
        & ( sP10(X0)
          | ~ strictorderP(X0) ) )
      | ~ sP11(X0) ),
    inference(nnf_transformation,[],[f239]) ).

fof(f239,plain,
    ! [X0] :
      ( ( strictorderP(X0)
      <=> sP10(X0) )
      | ~ sP11(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f491,plain,
    ! [X0] :
      ( ~ sP9(X0)
      | ~ totalorderP(X0)
      | sP8(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f302,plain,
    ! [X0] :
      ( ( ( totalorderP(X0)
          | ~ sP8(X0) )
        & ( sP8(X0)
          | ~ totalorderP(X0) ) )
      | ~ sP9(X0) ),
    inference(nnf_transformation,[],[f236]) ).

fof(f236,plain,
    ! [X0] :
      ( ( totalorderP(X0)
      <=> sP8(X0) )
      | ~ sP9(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f470,plain,
    ! [X0] :
      ( ~ sP5(X0)
      | ~ equalelemsP(X0)
      | sP4(X0) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f285,plain,
    ! [X0] :
      ( ( ( equalelemsP(X0)
          | ~ sP4(X0) )
        & ( sP4(X0)
          | ~ equalelemsP(X0) ) )
      | ~ sP5(X0) ),
    inference(nnf_transformation,[],[f230]) ).

fof(f230,plain,
    ! [X0] :
      ( ( equalelemsP(X0)
      <=> sP4(X0) )
      | ~ sP5(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f403,plain,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ! [X0] :
      ( ssItem(X0)
     => totalorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).

fof(f402,plain,
    ! [X0] :
      ( strictorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( strictorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,axiom,
    ! [X0] :
      ( ssItem(X0)
     => strictorderP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).

fof(f401,plain,
    ! [X0] :
      ( totalorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( totalorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( ssItem(X0)
     => totalorderP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).

fof(f400,plain,
    ! [X0] :
      ( cyclefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( cyclefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ! [X0] :
      ( ssItem(X0)
     => cyclefreeP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

fof(f399,plain,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ssItem(X0)
     => duplicatefreeP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

fof(f398,plain,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( ssItem(X0)
     => equalelemsP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).

fof(f639,plain,
    nil = app(nil,nil),
    inference(global_subsumption,[],[f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f635,f413,f412,f415,f414,f418,f417,f634,f419,f420,f421,f422,f423,f426,f633,f424,f632,f428,f427,f431,f430,f436,f606,f434,f433,f437,f439,f438,f444,f608,f442,f441,f445,f448,f447,f446,f449,f450,f451,f452,f453,f454,f455,f456,f459,f458,f457,f460,f461,f462,f464,f463,f466,f465,f610,f468,f467,f470,f478,f477,f476,f475,f474,f473,f611,f479,f480,f489,f488,f487,f486,f485,f484,f483,f631,f490,f491,f501,f500,f499,f498,f497,f496,f495,f494,f614,f502,f503,f513,f512,f511,f510,f509,f508,f507,f506,f615,f514,f515,f525,f524,f523,f522,f521,f520,f519,f518,f616,f526,f528,f527,f536,f535,f534,f533,f532,f531,f530,f617,f537,f539,f538,f547,f546,f545,f544,f543,f542,f541,f618,f548,f619,f636,f549,f620,f637,f551,f621,f638,f553,f555,f556,f557,f558,f559,f560,f622,f563,f562,f561,f565,f566,f567,f568,f569,f570,f571,f573,f630,f624,f575,f574,f625,f579,f578,f577,f626,f582,f581,f629]) ).

fof(f635,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f602]) ).

fof(f602,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f410]) ).

fof(f410,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f255]) ).

fof(f630,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f623]) ).

fof(f623,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f572]) ).

fof(f572,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f545,plain,
    ! [X0] :
      ( ssList(sK60(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f544,plain,
    ! [X0] :
      ( ssList(sK59(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f543,plain,
    ! [X0] :
      ( ssList(sK58(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f542,plain,
    ! [X0] :
      ( ssItem(sK57(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f541,plain,
    ! [X0] :
      ( ssItem(sK56(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f534,plain,
    ! [X0] :
      ( ssList(sK55(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f337]) ).

fof(f533,plain,
    ! [X0] :
      ( ssList(sK54(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f337]) ).

fof(f532,plain,
    ! [X0] :
      ( ssList(sK53(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f337]) ).

fof(f531,plain,
    ! [X0] :
      ( ssItem(sK52(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f337]) ).

fof(f530,plain,
    ! [X0] :
      ( ssItem(sK51(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f337]) ).

fof(f522,plain,
    ! [X0] :
      ( ssList(sK50(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f521,plain,
    ! [X0] :
      ( ssList(sK49(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f520,plain,
    ! [X0] :
      ( ssList(sK48(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f519,plain,
    ! [X0] :
      ( ssItem(sK47(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f518,plain,
    ! [X0] :
      ( ssItem(sK46(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f510,plain,
    ! [X0] :
      ( ssList(sK45(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f509,plain,
    ! [X0] :
      ( ssList(sK44(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f508,plain,
    ! [X0] :
      ( ssList(sK43(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f507,plain,
    ! [X0] :
      ( ssItem(sK42(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f506,plain,
    ! [X0] :
      ( ssItem(sK41(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f498,plain,
    ! [X0] :
      ( ssList(sK40(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f497,plain,
    ! [X0] :
      ( ssList(sK39(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f496,plain,
    ! [X0] :
      ( ssList(sK38(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f495,plain,
    ! [X0] :
      ( ssItem(sK37(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f494,plain,
    ! [X0] :
      ( ssItem(sK36(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f487,plain,
    ! [X0] :
      ( ssList(sK35(X0))
      | sP6(X0) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f486,plain,
    ! [X0] :
      ( ssList(sK34(X0))
      | sP6(X0) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f485,plain,
    ! [X0] :
      ( ssList(sK33(X0))
      | sP6(X0) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f484,plain,
    ! [X0] :
      ( ssItem(sK32(X0))
      | sP6(X0) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f483,plain,
    ! [X0] :
      ( ssItem(sK31(X0))
      | sP6(X0) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f476,plain,
    ! [X0] :
      ( ssList(sK30(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f292]) ).

fof(f475,plain,
    ! [X0] :
      ( ssList(sK29(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f292]) ).

fof(f474,plain,
    ! [X0] :
      ( ssItem(sK28(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f292]) ).

fof(f473,plain,
    ! [X0] :
      ( ssItem(sK27(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f292]) ).

fof(f454,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(f453,plain,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ! [X0] :
      ( ssList(X0)
     => rearsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

fof(f452,plain,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

fof(f451,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

fof(f449,plain,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0] :
      ( ssList(X0)
     => rearsegP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

fof(f397,plain,
    ! [X0] :
      ( leq(X0,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( leq(X0,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( ssItem(X0)
     => leq(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

fof(f396,plain,
    ! [X0] :
      ( geq(X0,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( geq(X0,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,axiom,
    ! [X0] :
      ( ssItem(X0)
     => geq(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).

fof(f395,plain,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ lt(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).

fof(f394,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f548,plain,
    ! [X0] :
      ( sP17(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f249,plain,
    ! [X0] :
      ( sP17(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f174,f248,f247]) ).

fof(f174,plain,
    ! [X0] :
      ( ( strictorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f173]) ).

fof(f173,plain,
    ! [X0] :
      ( ( strictorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( strictorderedP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => lt(X1,X2) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f537,plain,
    ! [X0] :
      ( sP15(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f246]) ).

fof(f246,plain,
    ! [X0] :
      ( sP15(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f172,f245,f244]) ).

fof(f172,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f171]) ).

fof(f171,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( totalorderedP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => leq(X1,X2) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f526,plain,
    ! [X0] :
      ( sP13(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f243]) ).

fof(f243,plain,
    ! [X0] :
      ( sP13(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f170,f242,f241]) ).

fof(f170,plain,
    ! [X0] :
      ( ( cyclefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( ~ leq(X2,X1)
                            | ~ leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f169]) ).

fof(f169,plain,
    ! [X0] :
      ( ( cyclefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( ~ leq(X2,X1)
                            | ~ leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( cyclefreeP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => ~ ( leq(X2,X1)
                                  & leq(X1,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f514,plain,
    ! [X0] :
      ( sP11(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f240,plain,
    ! [X0] :
      ( sP11(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f168,f239,f238]) ).

fof(f168,plain,
    ! [X0] :
      ( ( strictorderP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X2,X1)
                            | lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ( strictorderP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X2,X1)
                            | lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( strictorderP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => ( lt(X2,X1)
                                | lt(X1,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f502,plain,
    ! [X0] :
      ( sP9(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f237,plain,
    ! [X0] :
      ( sP9(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f166,f236,f235]) ).

fof(f166,plain,
    ! [X0] :
      ( ( totalorderP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X2,X1)
                            | leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ( totalorderP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X2,X1)
                            | leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( totalorderP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => ( leq(X2,X1)
                                | leq(X1,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f479,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f231,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f162,f230,f229]) ).

fof(f162,plain,
    ! [X0] :
      ( ( equalelemsP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( X1 = X2
                        | app(X3,cons(X1,cons(X2,X4))) != X0
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ( equalelemsP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( X1 = X2
                        | app(X3,cons(X1,cons(X2,X4))) != X0
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( equalelemsP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ( app(X3,cons(X1,cons(X2,X4))) = X0
                         => X1 = X2 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f638,plain,
    frontsegP(nil,nil),
    inference(global_subsumption,[],[f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f635,f413,f412,f415,f414,f418,f417,f634,f419,f420,f421,f422,f423,f426,f633,f424,f632,f428,f427,f431,f430,f436,f606,f434,f433,f437,f439,f438,f444,f608,f442,f441,f445,f448,f447,f446,f449,f450,f451,f452,f453,f454,f455,f456,f459,f458,f457,f460,f461,f462,f464,f463,f466,f465,f610,f468,f467,f470,f478,f477,f476,f475,f474,f473,f611,f479,f480,f489,f488,f487,f486,f485,f484,f483,f631,f490,f491,f501,f500,f499,f498,f497,f496,f495,f494,f614,f502,f503,f513,f512,f511,f510,f509,f508,f507,f506,f615,f514,f515,f525,f524,f523,f522,f521,f520,f519,f518,f616,f526,f528,f527,f536,f535,f534,f533,f532,f531,f530,f617,f537,f539,f538,f547,f546,f545,f544,f543,f542,f541,f618,f548,f619,f636,f549,f620,f637,f551,f621]) ).

fof(f637,plain,
    segmentP(nil,nil),
    inference(global_subsumption,[],[f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f635,f413,f412,f415,f414,f418,f417,f634,f419,f420,f421,f422,f423,f426,f633,f424,f632,f428,f427,f431,f430,f436,f606,f434,f433,f437,f439,f438,f444,f608,f442,f441,f445,f448,f447,f446,f449,f450,f451,f452,f453,f454,f455,f456,f459,f458,f457,f460,f461,f462,f464,f463,f466,f465,f610,f468,f467,f470,f478,f477,f476,f475,f474,f473,f611,f479,f480,f489,f488,f487,f486,f485,f484,f483,f631,f490,f491,f501,f500,f499,f498,f497,f496,f495,f494,f614,f502,f503,f513,f512,f511,f510,f509,f508,f507,f506,f615,f514,f515,f525,f524,f523,f522,f521,f520,f519,f518,f616,f526,f528,f527,f536,f535,f534,f533,f532,f531,f530,f617,f537,f539,f538,f547,f546,f545,f544,f543,f542,f541,f618,f548,f619,f636,f549,f620]) ).

fof(f636,plain,
    rearsegP(nil,nil),
    inference(global_subsumption,[],[f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f385,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f411,f635,f413,f412,f415,f414,f418,f417,f634,f419,f420,f421,f422,f423,f426,f633,f424,f632,f428,f427,f431,f430,f436,f606,f434,f433,f437,f439,f438,f444,f608,f442,f441,f445,f448,f447,f446,f449,f450,f451,f452,f453,f454,f455,f456,f459,f458,f457,f460,f461,f462,f464,f463,f466,f465,f610,f468,f467,f470,f478,f477,f476,f475,f474,f473,f611,f479,f480,f489,f488,f487,f486,f485,f484,f483,f631,f490,f491,f501,f500,f499,f498,f497,f496,f495,f494,f614,f502,f503,f513,f512,f511,f510,f509,f508,f507,f506,f615,f514,f515,f525,f524,f523,f522,f521,f520,f519,f518,f616,f526,f528,f527,f536,f535,f534,f533,f532,f531,f530,f617,f537,f539,f538,f547,f546,f545,f544,f543,f542,f541,f618,f548,f619]) ).

fof(f608,plain,
    ! [X1] : sP2(nil,X1),
    inference(equality_resolution,[],[f443]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( sP2(X0,X1)
      | nil != X0 ),
    inference(cnf_transformation,[],[f271]) ).

fof(f606,plain,
    ! [X1] : sP0(nil,X1),
    inference(equality_resolution,[],[f435]) ).

fof(f435,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | nil != X0 ),
    inference(cnf_transformation,[],[f267]) ).

fof(f601,plain,
    sK67 != sK68,
    inference(cnf_transformation,[],[f373]) ).

fof(f373,plain,
    ( sK67 != sK68
    & ssItem(sK68)
    & ssItem(sK67) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK67,sK68])],[f2,f372,f371]) ).

fof(f371,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( X0 != X1
            & ssItem(X1) )
        & ssItem(X0) )
   => ( ? [X1] :
          ( sK67 != X1
          & ssItem(X1) )
      & ssItem(sK67) ) ),
    introduced(choice_axiom,[]) ).

fof(f372,plain,
    ( ? [X1] :
        ( sK67 != X1
        & ssItem(X1) )
   => ( sK67 != sK68
      & ssItem(sK68) ) ),
    introduced(choice_axiom,[]) ).

fof(f2,axiom,
    ? [X0] :
      ( ? [X1] :
          ( X0 != X1
          & ssItem(X1) )
      & ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f644,plain,
    frontsegP(sK19,sK18),
    inference(forward_demodulation,[],[f643,f378]) ).

fof(f643,plain,
    frontsegP(sK21,sK18),
    inference(forward_demodulation,[],[f381,f379]) ).

fof(f384,plain,
    ~ neq(sK18,nil),
    inference(cnf_transformation,[],[f254]) ).

fof(f380,plain,
    neq(sK19,nil),
    inference(cnf_transformation,[],[f254]) ).

fof(f641,plain,
    strictorderedP(sK18),
    inference(superposition,[],[f382,f379]) ).

fof(f600,plain,
    ssItem(sK68),
    inference(cnf_transformation,[],[f373]) ).

fof(f599,plain,
    ssItem(sK67),
    inference(cnf_transformation,[],[f373]) ).

fof(f392,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

fof(f391,plain,
    totalorderedP(nil),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

fof(f390,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

fof(f389,plain,
    totalorderP(nil),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

fof(f388,plain,
    strictorderP(nil),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

fof(f387,plain,
    cyclefreeP(nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

fof(f386,plain,
    duplicatefreeP(nil),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

fof(f385,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

fof(f382,plain,
    strictorderedP(sK20),
    inference(cnf_transformation,[],[f254]) ).

fof(f377,plain,
    ssList(sK21),
    inference(cnf_transformation,[],[f254]) ).

fof(f376,plain,
    ssList(sK20),
    inference(cnf_transformation,[],[f254]) ).

fof(f374,plain,
    ssList(sK18),
    inference(cnf_transformation,[],[f254]) ).

fof(f629,plain,
    ( nil = app(nil,nil)
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f628]) ).

fof(f628,plain,
    ( nil = app(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f627]) ).

fof(f627,plain,
    ! [X1] :
      ( nil = app(nil,X1)
      | nil != X1
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(equality_resolution,[],[f586]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | nil != X0
      | nil != X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f370]) ).

fof(f624,plain,
    ! [X2,X1] :
      ( rearsegP(app(X2,X1),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X2,X1)) ),
    inference(equality_resolution,[],[f576]) ).

fof(f576,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | app(X2,X1) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f359]) ).

fof(f621,plain,
    ( frontsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f554]) ).

fof(f554,plain,
    ! [X0] :
      ( frontsegP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f349]) ).

fof(f620,plain,
    ( segmentP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f552]) ).

fof(f552,plain,
    ! [X0] :
      ( segmentP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f619,plain,
    ( rearsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f550]) ).

fof(f550,plain,
    ! [X0] :
      ( rearsegP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f634,plain,
    ! [X1] :
      ( ~ lt(X1,X1)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f603]) ).

fof(f603,plain,
    ! [X1] :
      ( ~ lt(X1,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f416]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f259]) ).

fof(f418,plain,
    ! [X0,X1] :
      ( lt(X0,X1)
      | ~ leq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f259]) ).

fof(f381,plain,
    frontsegP(sK21,sK20),
    inference(cnf_transformation,[],[f254]) ).

fof(f6619,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,cons(hd(sK19),X1)),sK19))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f6618,f1525]) ).

fof(f6618,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,cons(sK23(sK19),X1)),sK19))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f6617,f1480]) ).

fof(f6617,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,cons(sK23(sK19),X1)),sK19))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssList(sK22(sK19)) )
    | spl69_5
    | ~ spl69_8 ),
    inference(subsumption_resolution,[],[f6589,f1355]) ).

fof(f6589,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,cons(sK23(sK19),X1)),sK19))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(sK23(sK19))
        | ~ ssList(sK22(sK19)) )
    | spl69_5 ),
    inference(superposition,[],[f631,f1337]) ).

fof(f18699,plain,
    ( ~ spl69_148
    | spl69_149
    | ~ spl69_137
    | ~ spl69_146 ),
    inference(avatar_split_clause,[],[f18597,f18572,f18022,f18696,f18692]) ).

fof(f18692,plain,
    ( spl69_148
  <=> segmentP(sK19,app(sK19,tl(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_148])]) ).

fof(f18696,plain,
    ( spl69_149
  <=> sK19 = app(sK19,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_149])]) ).

fof(f18022,plain,
    ( spl69_137
  <=> ssList(app(sK19,tl(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_137])]) ).

fof(f18572,plain,
    ( spl69_146
  <=> segmentP(app(sK19,tl(sK19)),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_146])]) ).

fof(f18597,plain,
    ( sK19 = app(sK19,tl(sK19))
    | ~ segmentP(sK19,app(sK19,tl(sK19)))
    | ~ spl69_137
    | ~ spl69_146 ),
    inference(subsumption_resolution,[],[f18596,f375]) ).

fof(f18596,plain,
    ( sK19 = app(sK19,tl(sK19))
    | ~ segmentP(sK19,app(sK19,tl(sK19)))
    | ~ ssList(sK19)
    | ~ spl69_137
    | ~ spl69_146 ),
    inference(subsumption_resolution,[],[f18591,f18023]) ).

fof(f18023,plain,
    ( ssList(app(sK19,tl(sK19)))
    | ~ spl69_137 ),
    inference(avatar_component_clause,[],[f18022]) ).

fof(f18591,plain,
    ( sK19 = app(sK19,tl(sK19))
    | ~ segmentP(sK19,app(sK19,tl(sK19)))
    | ~ ssList(app(sK19,tl(sK19)))
    | ~ ssList(sK19)
    | ~ spl69_146 ),
    inference(resolution,[],[f18574,f570]) ).

fof(f18574,plain,
    ( segmentP(app(sK19,tl(sK19)),sK19)
    | ~ spl69_146 ),
    inference(avatar_component_clause,[],[f18572]) ).

fof(f18586,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_137
    | spl69_146 ),
    inference(avatar_contradiction_clause,[],[f18585]) ).

fof(f18585,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_137
    | spl69_146 ),
    inference(subsumption_resolution,[],[f18584,f1632]) ).

fof(f18584,plain,
    ( ~ ssList(tl(sK19))
    | ~ spl69_137
    | spl69_146 ),
    inference(subsumption_resolution,[],[f18580,f18023]) ).

fof(f18580,plain,
    ( ~ ssList(app(sK19,tl(sK19)))
    | ~ ssList(tl(sK19))
    | spl69_146 ),
    inference(resolution,[],[f18573,f7309]) ).

fof(f18573,plain,
    ( ~ segmentP(app(sK19,tl(sK19)),sK19)
    | spl69_146 ),
    inference(avatar_component_clause,[],[f18572]) ).

fof(f18579,plain,
    ( spl69_146
    | ~ spl69_147
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_78
    | ~ spl69_137 ),
    inference(avatar_split_clause,[],[f18170,f18022,f8735,f1479,f1440,f1354,f840,f18576,f18572]) ).

fof(f18576,plain,
    ( spl69_147
  <=> segmentP(tl(sK19),app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_147])]) ).

fof(f18170,plain,
    ( ~ segmentP(tl(sK19),app(sK19,sK19))
    | segmentP(app(sK19,tl(sK19)),sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_78
    | ~ spl69_137 ),
    inference(subsumption_resolution,[],[f18169,f18023]) ).

fof(f18169,plain,
    ( ~ segmentP(tl(sK19),app(sK19,sK19))
    | segmentP(app(sK19,tl(sK19)),sK19)
    | ~ ssList(app(sK19,tl(sK19)))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f18157,f8736]) ).

fof(f18157,plain,
    ( ~ segmentP(tl(sK19),app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | segmentP(app(sK19,tl(sK19)),sK19)
    | ~ ssList(app(sK19,tl(sK19)))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_78 ),
    inference(resolution,[],[f17552,f9150]) ).

fof(f9150,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,app(sK19,sK19))
        | segmentP(X0,sK19)
        | ~ ssList(X0) )
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9149,f8736]) ).

fof(f9149,plain,
    ( ! [X0] :
        ( segmentP(X0,sK19)
        | ~ segmentP(X0,app(sK19,sK19))
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9145,f375]) ).

fof(f9145,plain,
    ( ! [X0] :
        ( segmentP(X0,sK19)
        | ~ segmentP(X0,app(sK19,sK19))
        | ~ ssList(sK19)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_78 ),
    inference(resolution,[],[f9143,f596]) ).

fof(f9143,plain,
    ( segmentP(app(sK19,sK19),sK19)
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9142,f8736]) ).

fof(f9142,plain,
    ( ~ ssList(app(sK19,sK19))
    | segmentP(app(sK19,sK19),sK19)
    | ~ spl69_78 ),
    inference(forward_demodulation,[],[f9141,f8752]) ).

fof(f9141,plain,
    ( segmentP(app(sK19,sK19),sK19)
    | ~ ssList(app(app(sK19,sK19),nil))
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9140,f375]) ).

fof(f9140,plain,
    ( segmentP(app(sK19,sK19),sK19)
    | ~ ssList(sK19)
    | ~ ssList(app(app(sK19,sK19),nil))
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9124,f393]) ).

fof(f9124,plain,
    ( segmentP(app(sK19,sK19),sK19)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | ~ ssList(app(app(sK19,sK19),nil))
    | ~ spl69_78 ),
    inference(duplicate_literal_removal,[],[f9121]) ).

fof(f9121,plain,
    ( segmentP(app(sK19,sK19),sK19)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ ssList(app(app(sK19,sK19),nil))
    | ~ spl69_78 ),
    inference(superposition,[],[f625,f8752]) ).

fof(f17552,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,tl(sK19)),X0)
        | ~ segmentP(tl(sK19),X0)
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f17551,f1632]) ).

fof(f17551,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,tl(sK19)),X0)
        | ~ segmentP(tl(sK19),X0)
        | ~ ssList(X0)
        | ~ ssList(tl(sK19)) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f17550,f375]) ).

fof(f17550,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,tl(sK19)),X0)
        | ~ segmentP(tl(sK19),X0)
        | ~ ssList(sK19)
        | ~ ssList(X0)
        | ~ ssList(tl(sK19)) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f17537,f393]) ).

fof(f17537,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,tl(sK19)),X0)
        | ~ segmentP(tl(sK19),X0)
        | ~ ssList(nil)
        | ~ ssList(sK19)
        | ~ ssList(X0)
        | ~ ssList(tl(sK19)) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(superposition,[],[f598,f17387]) ).

fof(f17387,plain,
    ( app(sK19,tl(sK19)) = app(app(sK19,tl(sK19)),nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f17334,f1628]) ).

fof(f17334,plain,
    ( app(sK19,sK22(sK19)) = app(app(sK19,sK22(sK19)),nil)
    | ~ spl69_12 ),
    inference(resolution,[],[f17242,f1480]) ).

fof(f17242,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(sK19,X0) = app(app(sK19,X0),nil) ),
    inference(resolution,[],[f738,f375]) ).

fof(f18425,plain,
    ( ~ spl69_78
    | spl69_144 ),
    inference(avatar_contradiction_clause,[],[f18424]) ).

fof(f18424,plain,
    ( $false
    | ~ spl69_78
    | spl69_144 ),
    inference(subsumption_resolution,[],[f18423,f375]) ).

fof(f18423,plain,
    ( ~ ssList(sK19)
    | ~ spl69_78
    | spl69_144 ),
    inference(subsumption_resolution,[],[f18422,f8736]) ).

fof(f18422,plain,
    ( ~ ssList(app(sK19,sK19))
    | ~ ssList(sK19)
    | spl69_144 ),
    inference(resolution,[],[f18416,f565]) ).

fof(f18416,plain,
    ( ~ ssList(app(sK19,app(sK19,sK19)))
    | spl69_144 ),
    inference(avatar_component_clause,[],[f18414]) ).

fof(f18414,plain,
    ( spl69_144
  <=> ssList(app(sK19,app(sK19,sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_144])]) ).

fof(f18421,plain,
    ( ~ spl69_144
    | ~ spl69_145
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78
    | ~ spl69_79 ),
    inference(avatar_split_clause,[],[f15298,f8739,f8735,f8584,f1479,f1354,f840,f18418,f18414]) ).

fof(f18418,plain,
    ( spl69_145
  <=> duplicatefreeP(app(sK19,app(sK19,sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_145])]) ).

fof(f15298,plain,
    ( ~ duplicatefreeP(app(sK19,app(sK19,sK19)))
    | ~ ssList(app(sK19,app(sK19,sK19)))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78
    | ~ spl69_79 ),
    inference(resolution,[],[f15295,f646]) ).

fof(f15295,plain,
    ( ~ sP6(app(sK19,app(sK19,sK19)))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f15294,f8741]) ).

fof(f15294,plain,
    ( ~ sP6(app(sK19,app(sK19,sK19)))
    | ~ ssList(app(tl(sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78 ),
    inference(superposition,[],[f14997,f8885]) ).

fof(f14997,plain,
    ( ! [X0] :
        ( ~ sP6(app(sK19,cons(hd(sK19),X0)))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f14988,f393]) ).

fof(f14988,plain,
    ( ! [X0] :
        ( ~ sP6(app(sK19,cons(hd(sK19),X0)))
        | ~ ssList(nil)
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(superposition,[],[f6597,f687]) ).

fof(f6597,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,sK19),cons(hd(sK19),X1)))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f6596,f1525]) ).

fof(f6596,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,sK19),cons(sK23(sK19),X1)))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f6595,f1355]) ).

fof(f6595,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,sK19),cons(sK23(sK19),X1)))
        | ~ ssList(X0)
        | ~ ssItem(sK23(sK19))
        | ~ ssList(X1) )
    | spl69_5
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f6580,f1480]) ).

fof(f6580,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,sK19),cons(sK23(sK19),X1)))
        | ~ ssList(sK22(sK19))
        | ~ ssList(X0)
        | ~ ssItem(sK23(sK19))
        | ~ ssList(X1) )
    | spl69_5 ),
    inference(superposition,[],[f631,f1337]) ).

fof(f18410,plain,
    ( ~ spl69_142
    | spl69_143
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_136
    | ~ spl69_137 ),
    inference(avatar_split_clause,[],[f18396,f18022,f18018,f1479,f1440,f1354,f840,f776,f18407,f18403]) ).

fof(f18403,plain,
    ( spl69_142
  <=> segmentP(nil,app(sK19,tl(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_142])]) ).

fof(f18407,plain,
    ( spl69_143
  <=> segmentP(sK19,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_143])]) ).

fof(f18018,plain,
    ( spl69_136
  <=> segmentP(app(sK19,tl(sK19)),tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_136])]) ).

fof(f18396,plain,
    ( segmentP(sK19,tl(sK19))
    | ~ segmentP(nil,app(sK19,tl(sK19)))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_136
    | ~ spl69_137 ),
    inference(subsumption_resolution,[],[f18395,f18023]) ).

fof(f18395,plain,
    ( segmentP(sK19,tl(sK19))
    | ~ segmentP(nil,app(sK19,tl(sK19)))
    | ~ ssList(app(sK19,tl(sK19)))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_136
    | ~ spl69_137 ),
    inference(subsumption_resolution,[],[f18368,f375]) ).

fof(f18368,plain,
    ( segmentP(sK19,tl(sK19))
    | ~ ssList(sK19)
    | ~ segmentP(nil,app(sK19,tl(sK19)))
    | ~ ssList(app(sK19,tl(sK19)))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_136
    | ~ spl69_137 ),
    inference(resolution,[],[f18093,f7432]) ).

fof(f7432,plain,
    ( ! [X0] :
        ( segmentP(sK19,X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_3 ),
    inference(subsumption_resolution,[],[f7405,f375]) ).

fof(f7405,plain,
    ( ! [X0] :
        ( segmentP(sK19,X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(sK19)
        | ~ ssList(X0) )
    | ~ spl69_3 ),
    inference(superposition,[],[f6436,f687]) ).

fof(f6436,plain,
    ( ! [X0,X1] :
        ( segmentP(app(nil,X0),X1)
        | ~ segmentP(nil,X1)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f6435,f778]) ).

fof(f6435,plain,
    ! [X0,X1] :
      ( segmentP(app(sK18,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6434,f393]) ).

fof(f6434,plain,
    ! [X0,X1] :
      ( segmentP(app(sK18,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f6365,f374]) ).

fof(f6365,plain,
    ! [X0,X1] :
      ( segmentP(app(sK18,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(sK18)
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(superposition,[],[f598,f659]) ).

fof(f18093,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,app(sK19,tl(sK19)))
        | segmentP(X0,tl(sK19))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_136
    | ~ spl69_137 ),
    inference(subsumption_resolution,[],[f18092,f18023]) ).

fof(f18092,plain,
    ( ! [X0] :
        ( segmentP(X0,tl(sK19))
        | ~ segmentP(X0,app(sK19,tl(sK19)))
        | ~ ssList(app(sK19,tl(sK19)))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_136 ),
    inference(subsumption_resolution,[],[f18088,f1632]) ).

fof(f18088,plain,
    ( ! [X0] :
        ( segmentP(X0,tl(sK19))
        | ~ segmentP(X0,app(sK19,tl(sK19)))
        | ~ ssList(tl(sK19))
        | ~ ssList(app(sK19,tl(sK19)))
        | ~ ssList(X0) )
    | ~ spl69_136 ),
    inference(resolution,[],[f18020,f596]) ).

fof(f18020,plain,
    ( segmentP(app(sK19,tl(sK19)),tl(sK19))
    | ~ spl69_136 ),
    inference(avatar_component_clause,[],[f18018]) ).

fof(f18287,plain,
    ( ~ spl69_23
    | spl69_140 ),
    inference(avatar_contradiction_clause,[],[f18286]) ).

fof(f18286,plain,
    ( $false
    | ~ spl69_23
    | spl69_140 ),
    inference(subsumption_resolution,[],[f18285,f1908]) ).

fof(f1908,plain,
    ( ssList(cons(sK68,sK19))
    | ~ spl69_23 ),
    inference(avatar_component_clause,[],[f1906]) ).

fof(f1906,plain,
    ( spl69_23
  <=> ssList(cons(sK68,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_23])]) ).

fof(f18285,plain,
    ( ~ ssList(cons(sK68,sK19))
    | spl69_140 ),
    inference(subsumption_resolution,[],[f18284,f375]) ).

fof(f18284,plain,
    ( ~ ssList(sK19)
    | ~ ssList(cons(sK68,sK19))
    | spl69_140 ),
    inference(resolution,[],[f18278,f565]) ).

fof(f18278,plain,
    ( ~ ssList(app(cons(sK68,sK19),sK19))
    | spl69_140 ),
    inference(avatar_component_clause,[],[f18276]) ).

fof(f18276,plain,
    ( spl69_140
  <=> ssList(app(cons(sK68,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_140])]) ).

fof(f18283,plain,
    ( ~ spl69_140
    | ~ spl69_141
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_22 ),
    inference(avatar_split_clause,[],[f15194,f1902,f1479,f1440,f1354,f840,f18280,f18276]) ).

fof(f18280,plain,
    ( spl69_141
  <=> duplicatefreeP(app(cons(sK68,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_141])]) ).

fof(f1902,plain,
    ( spl69_22
  <=> ssList(cons(sK68,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_22])]) ).

fof(f15194,plain,
    ( ~ duplicatefreeP(app(cons(sK68,sK19),sK19))
    | ~ ssList(app(cons(sK68,sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_22 ),
    inference(resolution,[],[f15062,f646]) ).

fof(f15062,plain,
    ( ~ sP6(app(cons(sK68,sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f15055,f1903]) ).

fof(f1903,plain,
    ( ssList(cons(sK68,nil))
    | ~ spl69_22 ),
    inference(avatar_component_clause,[],[f1902]) ).

fof(f15055,plain,
    ( ~ sP6(app(cons(sK68,sK19),sK19))
    | ~ ssList(cons(sK68,nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(superposition,[],[f15001,f1843]) ).

fof(f15001,plain,
    ( ! [X0] :
        ( ~ sP6(app(app(X0,sK19),sK19))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f14992,f1632]) ).

fof(f14992,plain,
    ( ! [X0] :
        ( ~ sP6(app(app(X0,sK19),sK19))
        | ~ ssList(X0)
        | ~ ssList(tl(sK19)) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(superposition,[],[f6597,f1423]) ).

fof(f18209,plain,
    ( ~ spl69_21
    | spl69_138 ),
    inference(avatar_contradiction_clause,[],[f18208]) ).

fof(f18208,plain,
    ( $false
    | ~ spl69_21
    | spl69_138 ),
    inference(subsumption_resolution,[],[f18207,f1859]) ).

fof(f1859,plain,
    ( ssList(cons(sK67,sK19))
    | ~ spl69_21 ),
    inference(avatar_component_clause,[],[f1857]) ).

fof(f1857,plain,
    ( spl69_21
  <=> ssList(cons(sK67,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_21])]) ).

fof(f18207,plain,
    ( ~ ssList(cons(sK67,sK19))
    | spl69_138 ),
    inference(subsumption_resolution,[],[f18206,f375]) ).

fof(f18206,plain,
    ( ~ ssList(sK19)
    | ~ ssList(cons(sK67,sK19))
    | spl69_138 ),
    inference(resolution,[],[f18200,f565]) ).

fof(f18200,plain,
    ( ~ ssList(app(cons(sK67,sK19),sK19))
    | spl69_138 ),
    inference(avatar_component_clause,[],[f18198]) ).

fof(f18198,plain,
    ( spl69_138
  <=> ssList(app(cons(sK67,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_138])]) ).

fof(f18205,plain,
    ( ~ spl69_138
    | ~ spl69_139
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_20 ),
    inference(avatar_split_clause,[],[f15144,f1853,f1479,f1440,f1354,f840,f18202,f18198]) ).

fof(f18202,plain,
    ( spl69_139
  <=> duplicatefreeP(app(cons(sK67,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_139])]) ).

fof(f1853,plain,
    ( spl69_20
  <=> ssList(cons(sK67,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_20])]) ).

fof(f15144,plain,
    ( ~ duplicatefreeP(app(cons(sK67,sK19),sK19))
    | ~ ssList(app(cons(sK67,sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_20 ),
    inference(resolution,[],[f15061,f646]) ).

fof(f15061,plain,
    ( ~ sP6(app(cons(sK67,sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f15054,f1854]) ).

fof(f1854,plain,
    ( ssList(cons(sK67,nil))
    | ~ spl69_20 ),
    inference(avatar_component_clause,[],[f1853]) ).

fof(f15054,plain,
    ( ~ sP6(app(cons(sK67,sK19),sK19))
    | ~ ssList(cons(sK67,nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(superposition,[],[f15001,f1842]) ).

fof(f18029,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_137 ),
    inference(avatar_contradiction_clause,[],[f18028]) ).

fof(f18028,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_137 ),
    inference(subsumption_resolution,[],[f18027,f375]) ).

fof(f18027,plain,
    ( ~ ssList(sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_137 ),
    inference(subsumption_resolution,[],[f18026,f1632]) ).

fof(f18026,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssList(sK19)
    | spl69_137 ),
    inference(resolution,[],[f18024,f565]) ).

fof(f18024,plain,
    ( ~ ssList(app(sK19,tl(sK19)))
    | spl69_137 ),
    inference(avatar_component_clause,[],[f18022]) ).

fof(f18025,plain,
    ( spl69_136
    | ~ spl69_137
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(avatar_split_clause,[],[f17549,f1479,f1440,f1354,f840,f18022,f18018]) ).

fof(f17549,plain,
    ( ~ ssList(app(sK19,tl(sK19)))
    | segmentP(app(sK19,tl(sK19)),tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f17548,f17387]) ).

fof(f17548,plain,
    ( segmentP(app(sK19,tl(sK19)),tl(sK19))
    | ~ ssList(app(app(sK19,tl(sK19)),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f17547,f1632]) ).

fof(f17547,plain,
    ( segmentP(app(sK19,tl(sK19)),tl(sK19))
    | ~ ssList(tl(sK19))
    | ~ ssList(app(app(sK19,tl(sK19)),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f17546,f375]) ).

fof(f17546,plain,
    ( segmentP(app(sK19,tl(sK19)),tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(app(app(sK19,tl(sK19)),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f17536,f393]) ).

fof(f17536,plain,
    ( segmentP(app(sK19,tl(sK19)),tl(sK19))
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(app(app(sK19,tl(sK19)),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(superposition,[],[f625,f17387]) ).

fof(f17843,plain,
    ( ~ spl69_10
    | spl69_134 ),
    inference(avatar_contradiction_clause,[],[f17842]) ).

fof(f17842,plain,
    ( $false
    | ~ spl69_10
    | spl69_134 ),
    inference(subsumption_resolution,[],[f17841,f1441]) ).

fof(f17841,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_134 ),
    inference(subsumption_resolution,[],[f17840,f375]) ).

fof(f17840,plain,
    ( ~ ssList(sK19)
    | ~ ssItem(hd(sK19))
    | spl69_134 ),
    inference(resolution,[],[f17834,f437]) ).

fof(f17834,plain,
    ( ~ sP1(hd(sK19),sK19)
    | spl69_134 ),
    inference(avatar_component_clause,[],[f17832]) ).

fof(f17832,plain,
    ( spl69_134
  <=> sP1(hd(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_134])]) ).

fof(f17839,plain,
    ( ~ spl69_134
    | ~ spl69_135
    | spl69_132 ),
    inference(avatar_split_clause,[],[f17814,f17783,f17836,f17832]) ).

fof(f17836,plain,
    ( spl69_135
  <=> sP0(sK19,hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_135])]) ).

fof(f17783,plain,
    ( spl69_132
  <=> totalorderedP(cons(hd(sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_132])]) ).

fof(f17814,plain,
    ( ~ sP0(sK19,hd(sK19))
    | ~ sP1(hd(sK19),sK19)
    | spl69_132 ),
    inference(resolution,[],[f17785,f431]) ).

fof(f17785,plain,
    ( ~ totalorderedP(cons(hd(sK19),sK19))
    | spl69_132 ),
    inference(avatar_component_clause,[],[f17783]) ).

fof(f17790,plain,
    ( ~ spl69_132
    | spl69_133
    | spl69_5
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(avatar_split_clause,[],[f15746,f2178,f1440,f840,f17787,f17783]) ).

fof(f17787,plain,
    ( spl69_133
  <=> sP0(cons(hd(sK19),sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_133])]) ).

fof(f15746,plain,
    ( sP0(cons(hd(sK19),sK19),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),sK19))
    | spl69_5
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(subsumption_resolution,[],[f15745,f1441]) ).

fof(f15745,plain,
    ( ~ ssItem(hd(sK19))
    | sP0(cons(hd(sK19),sK19),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),sK19))
    | spl69_5
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(forward_demodulation,[],[f15744,f1454]) ).

fof(f1454,plain,
    ( hd(sK19) = hd(cons(hd(sK19),sK19))
    | ~ spl69_10 ),
    inference(resolution,[],[f1441,f967]) ).

fof(f15744,plain,
    ( sP0(cons(hd(sK19),sK19),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),sK19))
    | ~ ssItem(hd(cons(hd(sK19),sK19)))
    | spl69_5
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(subsumption_resolution,[],[f15586,f2524]) ).

fof(f2524,plain,
    ( nil != cons(hd(sK19),sK19)
    | spl69_5
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(subsumption_resolution,[],[f2175,f2179]) ).

fof(f2175,plain,
    ( nil != cons(hd(sK19),sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_5
    | ~ spl69_10 ),
    inference(subsumption_resolution,[],[f2174,f375]) ).

fof(f2174,plain,
    ( nil != cons(hd(sK19),sK19)
    | ~ ssList(sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_5
    | ~ spl69_10 ),
    inference(subsumption_resolution,[],[f2171,f841]) ).

fof(f2171,plain,
    ( nil != cons(hd(sK19),sK19)
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_10 ),
    inference(superposition,[],[f584,f1823]) ).

fof(f1823,plain,
    ( cons(hd(sK19),sK19) = app(cons(hd(sK19),nil),sK19)
    | ~ spl69_10 ),
    inference(resolution,[],[f1785,f1441]) ).

fof(f15586,plain,
    ( sP0(cons(hd(sK19),sK19),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),sK19))
    | nil = cons(hd(sK19),sK19)
    | ~ ssItem(hd(cons(hd(sK19),sK19)))
    | ~ spl69_10 ),
    inference(superposition,[],[f1217,f1454]) ).

fof(f17734,plain,
    ( ~ spl69_10
    | ~ spl69_92 ),
    inference(avatar_contradiction_clause,[],[f17733]) ).

fof(f17733,plain,
    ( $false
    | ~ spl69_10
    | ~ spl69_92 ),
    inference(subsumption_resolution,[],[f17732,f393]) ).

fof(f17732,plain,
    ( ~ ssList(nil)
    | ~ spl69_10
    | ~ spl69_92 ),
    inference(subsumption_resolution,[],[f17704,f1441]) ).

fof(f17704,plain,
    ( ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | ~ spl69_92 ),
    inference(trivial_inequality_removal,[],[f17672]) ).

fof(f17672,plain,
    ( nil != nil
    | ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | ~ spl69_92 ),
    inference(superposition,[],[f557,f10462]) ).

fof(f10462,plain,
    ( nil = cons(hd(sK19),nil)
    | ~ spl69_92 ),
    inference(avatar_component_clause,[],[f10460]) ).

fof(f17731,plain,
    ( ~ spl69_10
    | ~ spl69_92 ),
    inference(avatar_contradiction_clause,[],[f17730]) ).

fof(f17730,plain,
    ( $false
    | ~ spl69_10
    | ~ spl69_92 ),
    inference(subsumption_resolution,[],[f17729,f393]) ).

fof(f17729,plain,
    ( ~ ssList(nil)
    | ~ spl69_10
    | ~ spl69_92 ),
    inference(subsumption_resolution,[],[f17705,f1441]) ).

fof(f17705,plain,
    ( ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | ~ spl69_92 ),
    inference(trivial_inequality_removal,[],[f17671]) ).

fof(f17671,plain,
    ( nil != nil
    | ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | ~ spl69_92 ),
    inference(superposition,[],[f556,f10462]) ).

fof(f17724,plain,
    ( ~ spl69_10
    | ~ spl69_24
    | ~ spl69_92 ),
    inference(avatar_contradiction_clause,[],[f17723]) ).

fof(f17723,plain,
    ( $false
    | ~ spl69_10
    | ~ spl69_24
    | ~ spl69_92 ),
    inference(subsumption_resolution,[],[f17722,f2179]) ).

fof(f17722,plain,
    ( ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_10
    | ~ spl69_92 ),
    inference(subsumption_resolution,[],[f17721,f1441]) ).

fof(f17721,plain,
    ( ~ ssItem(hd(sK19))
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_92 ),
    inference(subsumption_resolution,[],[f17659,f385]) ).

fof(f17659,plain,
    ( singletonP(nil)
    | ~ ssItem(hd(sK19))
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_92 ),
    inference(superposition,[],[f610,f10462]) ).

fof(f17708,plain,
    ( ~ spl69_10
    | ~ spl69_92
    | spl69_93 ),
    inference(avatar_contradiction_clause,[],[f17707]) ).

fof(f17707,plain,
    ( $false
    | ~ spl69_10
    | ~ spl69_92
    | spl69_93 ),
    inference(subsumption_resolution,[],[f17706,f10466]) ).

fof(f10466,plain,
    ( sK19 != cons(hd(sK19),sK19)
    | spl69_93 ),
    inference(avatar_component_clause,[],[f10464]) ).

fof(f10464,plain,
    ( spl69_93
  <=> sK19 = cons(hd(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_93])]) ).

fof(f17706,plain,
    ( sK19 = cons(hd(sK19),sK19)
    | ~ spl69_10
    | ~ spl69_92 ),
    inference(forward_demodulation,[],[f17630,f687]) ).

fof(f17630,plain,
    ( app(nil,sK19) = cons(hd(sK19),sK19)
    | ~ spl69_10
    | ~ spl69_92 ),
    inference(superposition,[],[f1823,f10462]) ).

fof(f17608,plain,
    ( ~ spl69_10
    | spl69_130 ),
    inference(avatar_contradiction_clause,[],[f17607]) ).

fof(f17607,plain,
    ( $false
    | ~ spl69_10
    | spl69_130 ),
    inference(subsumption_resolution,[],[f17597,f1441]) ).

fof(f17597,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_130 ),
    inference(resolution,[],[f17591,f403]) ).

fof(f17591,plain,
    ( ~ totalorderedP(cons(hd(sK19),nil))
    | spl69_130 ),
    inference(avatar_component_clause,[],[f17589]) ).

fof(f17589,plain,
    ( spl69_130
  <=> totalorderedP(cons(hd(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_130])]) ).

fof(f17596,plain,
    ( ~ spl69_130
    | spl69_131
    | ~ spl69_10
    | spl69_92 ),
    inference(avatar_split_clause,[],[f15697,f10460,f1440,f17593,f17589]) ).

fof(f17593,plain,
    ( spl69_131
  <=> sP0(cons(hd(sK19),nil),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_131])]) ).

fof(f15697,plain,
    ( sP0(cons(hd(sK19),nil),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),nil))
    | ~ spl69_10
    | spl69_92 ),
    inference(subsumption_resolution,[],[f15696,f1441]) ).

fof(f15696,plain,
    ( ~ ssItem(hd(sK19))
    | sP0(cons(hd(sK19),nil),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),nil))
    | ~ spl69_10
    | spl69_92 ),
    inference(forward_demodulation,[],[f15695,f1452]) ).

fof(f1452,plain,
    ( hd(sK19) = hd(cons(hd(sK19),nil))
    | ~ spl69_10 ),
    inference(resolution,[],[f1441,f964]) ).

fof(f15695,plain,
    ( sP0(cons(hd(sK19),nil),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),nil))
    | ~ ssItem(hd(cons(hd(sK19),nil)))
    | ~ spl69_10
    | spl69_92 ),
    inference(subsumption_resolution,[],[f15570,f10461]) ).

fof(f15570,plain,
    ( sP0(cons(hd(sK19),nil),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),nil))
    | nil = cons(hd(sK19),nil)
    | ~ ssItem(hd(cons(hd(sK19),nil)))
    | ~ spl69_10 ),
    inference(superposition,[],[f1217,f1452]) ).

fof(f16862,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_128 ),
    inference(avatar_contradiction_clause,[],[f16861]) ).

fof(f16861,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_128 ),
    inference(subsumption_resolution,[],[f16860,f600]) ).

fof(f16860,plain,
    ( ~ ssItem(sK68)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_128 ),
    inference(subsumption_resolution,[],[f16859,f1632]) ).

fof(f16859,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssItem(sK68)
    | spl69_128 ),
    inference(resolution,[],[f16853,f437]) ).

fof(f16853,plain,
    ( ~ sP1(sK68,tl(sK19))
    | spl69_128 ),
    inference(avatar_component_clause,[],[f16851]) ).

fof(f16851,plain,
    ( spl69_128
  <=> sP1(sK68,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_128])]) ).

fof(f16858,plain,
    ( ~ spl69_128
    | ~ spl69_129
    | spl69_127 ),
    inference(avatar_split_clause,[],[f16753,f16749,f16855,f16851]) ).

fof(f16855,plain,
    ( spl69_129
  <=> sP0(tl(sK19),sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_129])]) ).

fof(f16749,plain,
    ( spl69_127
  <=> totalorderedP(cons(sK68,tl(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_127])]) ).

fof(f16753,plain,
    ( ~ sP0(tl(sK19),sK68)
    | ~ sP1(sK68,tl(sK19))
    | spl69_127 ),
    inference(resolution,[],[f16751,f431]) ).

fof(f16751,plain,
    ( ~ totalorderedP(cons(sK68,tl(sK19)))
    | spl69_127 ),
    inference(avatar_component_clause,[],[f16749]) ).

fof(f16752,plain,
    ( spl69_126
    | ~ spl69_127
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_99 ),
    inference(avatar_split_clause,[],[f15784,f11125,f1479,f1440,f1354,f840,f16749,f16745]) ).

fof(f16745,plain,
    ( spl69_126
  <=> sP0(cons(sK68,tl(sK19)),sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_126])]) ).

fof(f11125,plain,
    ( spl69_99
  <=> nil = cons(sK68,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_99])]) ).

fof(f15784,plain,
    ( ~ totalorderedP(cons(sK68,tl(sK19)))
    | sP0(cons(sK68,tl(sK19)),sK68)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_99 ),
    inference(subsumption_resolution,[],[f15783,f600]) ).

fof(f15783,plain,
    ( ~ ssItem(sK68)
    | ~ totalorderedP(cons(sK68,tl(sK19)))
    | sP0(cons(sK68,tl(sK19)),sK68)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_99 ),
    inference(forward_demodulation,[],[f15782,f1524]) ).

fof(f1524,plain,
    ( sK68 = hd(cons(sK68,sK22(sK19)))
    | ~ spl69_12 ),
    inference(resolution,[],[f1498,f600]) ).

fof(f15782,plain,
    ( ~ totalorderedP(cons(sK68,tl(sK19)))
    | sP0(cons(sK68,tl(sK19)),sK68)
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_99 ),
    inference(subsumption_resolution,[],[f15781,f11126]) ).

fof(f11126,plain,
    ( nil != cons(sK68,tl(sK19))
    | spl69_99 ),
    inference(avatar_component_clause,[],[f11125]) ).

fof(f15781,plain,
    ( nil = cons(sK68,tl(sK19))
    | ~ totalorderedP(cons(sK68,tl(sK19)))
    | sP0(cons(sK68,tl(sK19)),sK68)
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f15780,f1628]) ).

fof(f15780,plain,
    ( ~ totalorderedP(cons(sK68,tl(sK19)))
    | sP0(cons(sK68,tl(sK19)),sK68)
    | nil = cons(sK68,sK22(sK19))
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f15779,f1628]) ).

fof(f15779,plain,
    ( sP0(cons(sK68,tl(sK19)),sK68)
    | ~ totalorderedP(cons(sK68,sK22(sK19)))
    | nil = cons(sK68,sK22(sK19))
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f15604,f1628]) ).

fof(f15604,plain,
    ( sP0(cons(sK68,sK22(sK19)),sK68)
    | ~ totalorderedP(cons(sK68,sK22(sK19)))
    | nil = cons(sK68,sK22(sK19))
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | ~ spl69_12 ),
    inference(superposition,[],[f1217,f1524]) ).

fof(f16607,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_124 ),
    inference(avatar_contradiction_clause,[],[f16606]) ).

fof(f16606,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_124 ),
    inference(subsumption_resolution,[],[f16605,f599]) ).

fof(f16605,plain,
    ( ~ ssItem(sK67)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_124 ),
    inference(subsumption_resolution,[],[f16604,f1632]) ).

fof(f16604,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssItem(sK67)
    | spl69_124 ),
    inference(resolution,[],[f16598,f437]) ).

fof(f16598,plain,
    ( ~ sP1(sK67,tl(sK19))
    | spl69_124 ),
    inference(avatar_component_clause,[],[f16596]) ).

fof(f16596,plain,
    ( spl69_124
  <=> sP1(sK67,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_124])]) ).

fof(f16603,plain,
    ( ~ spl69_124
    | ~ spl69_125
    | spl69_123 ),
    inference(avatar_split_clause,[],[f16586,f16582,f16600,f16596]) ).

fof(f16600,plain,
    ( spl69_125
  <=> sP0(tl(sK19),sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_125])]) ).

fof(f16582,plain,
    ( spl69_123
  <=> totalorderedP(cons(sK67,tl(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_123])]) ).

fof(f16586,plain,
    ( ~ sP0(tl(sK19),sK67)
    | ~ sP1(sK67,tl(sK19))
    | spl69_123 ),
    inference(resolution,[],[f16584,f431]) ).

fof(f16584,plain,
    ( ~ totalorderedP(cons(sK67,tl(sK19)))
    | spl69_123 ),
    inference(avatar_component_clause,[],[f16582]) ).

fof(f16585,plain,
    ( spl69_122
    | ~ spl69_123
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_97 ),
    inference(avatar_split_clause,[],[f15778,f10998,f1479,f1440,f1354,f840,f16582,f16578]) ).

fof(f16578,plain,
    ( spl69_122
  <=> sP0(cons(sK67,tl(sK19)),sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_122])]) ).

fof(f10998,plain,
    ( spl69_97
  <=> nil = cons(sK67,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_97])]) ).

fof(f15778,plain,
    ( ~ totalorderedP(cons(sK67,tl(sK19)))
    | sP0(cons(sK67,tl(sK19)),sK67)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_97 ),
    inference(subsumption_resolution,[],[f15777,f599]) ).

fof(f15777,plain,
    ( ~ ssItem(sK67)
    | ~ totalorderedP(cons(sK67,tl(sK19)))
    | sP0(cons(sK67,tl(sK19)),sK67)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_97 ),
    inference(forward_demodulation,[],[f15776,f1523]) ).

fof(f1523,plain,
    ( sK67 = hd(cons(sK67,sK22(sK19)))
    | ~ spl69_12 ),
    inference(resolution,[],[f1498,f599]) ).

fof(f15776,plain,
    ( ~ totalorderedP(cons(sK67,tl(sK19)))
    | sP0(cons(sK67,tl(sK19)),sK67)
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_97 ),
    inference(subsumption_resolution,[],[f15775,f10999]) ).

fof(f10999,plain,
    ( nil != cons(sK67,tl(sK19))
    | spl69_97 ),
    inference(avatar_component_clause,[],[f10998]) ).

fof(f15775,plain,
    ( nil = cons(sK67,tl(sK19))
    | ~ totalorderedP(cons(sK67,tl(sK19)))
    | sP0(cons(sK67,tl(sK19)),sK67)
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f15774,f1628]) ).

fof(f15774,plain,
    ( ~ totalorderedP(cons(sK67,tl(sK19)))
    | sP0(cons(sK67,tl(sK19)),sK67)
    | nil = cons(sK67,sK22(sK19))
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f15773,f1628]) ).

fof(f15773,plain,
    ( sP0(cons(sK67,tl(sK19)),sK67)
    | ~ totalorderedP(cons(sK67,sK22(sK19)))
    | nil = cons(sK67,sK22(sK19))
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f15603,f1628]) ).

fof(f15603,plain,
    ( sP0(cons(sK67,sK22(sK19)),sK67)
    | ~ totalorderedP(cons(sK67,sK22(sK19)))
    | nil = cons(sK67,sK22(sK19))
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | ~ spl69_12 ),
    inference(superposition,[],[f1217,f1523]) ).

fof(f16065,plain,
    ( ~ spl69_120
    | spl69_121
    | spl69_5
    | ~ spl69_10
    | spl69_76 ),
    inference(avatar_split_clause,[],[f15840,f8584,f1440,f840,f16062,f16058]) ).

fof(f16058,plain,
    ( spl69_120
  <=> totalorderedP(app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_120])]) ).

fof(f16062,plain,
    ( spl69_121
  <=> sP0(app(sK19,sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_121])]) ).

fof(f15840,plain,
    ( sP0(app(sK19,sK19),hd(sK19))
    | ~ totalorderedP(app(sK19,sK19))
    | spl69_5
    | ~ spl69_10
    | spl69_76 ),
    inference(subsumption_resolution,[],[f15839,f1441]) ).

fof(f15839,plain,
    ( ~ ssItem(hd(sK19))
    | sP0(app(sK19,sK19),hd(sK19))
    | ~ totalorderedP(app(sK19,sK19))
    | spl69_5
    | spl69_76 ),
    inference(forward_demodulation,[],[f15838,f5692]) ).

fof(f15838,plain,
    ( sP0(app(sK19,sK19),hd(sK19))
    | ~ totalorderedP(app(sK19,sK19))
    | ~ ssItem(hd(app(sK19,sK19)))
    | spl69_5
    | spl69_76 ),
    inference(subsumption_resolution,[],[f15631,f8585]) ).

fof(f15631,plain,
    ( sP0(app(sK19,sK19),hd(sK19))
    | ~ totalorderedP(app(sK19,sK19))
    | nil = app(sK19,sK19)
    | ~ ssItem(hd(app(sK19,sK19)))
    | spl69_5 ),
    inference(superposition,[],[f1217,f5692]) ).

fof(f16032,plain,
    spl69_118,
    inference(avatar_contradiction_clause,[],[f16031]) ).

fof(f16031,plain,
    ( $false
    | spl69_118 ),
    inference(subsumption_resolution,[],[f16030,f600]) ).

fof(f16030,plain,
    ( ~ ssItem(sK68)
    | spl69_118 ),
    inference(subsumption_resolution,[],[f16029,f375]) ).

fof(f16029,plain,
    ( ~ ssList(sK19)
    | ~ ssItem(sK68)
    | spl69_118 ),
    inference(resolution,[],[f16023,f437]) ).

fof(f16023,plain,
    ( ~ sP1(sK68,sK19)
    | spl69_118 ),
    inference(avatar_component_clause,[],[f16021]) ).

fof(f16021,plain,
    ( spl69_118
  <=> sP1(sK68,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_118])]) ).

fof(f16028,plain,
    ( ~ spl69_118
    | ~ spl69_119
    | spl69_116 ),
    inference(avatar_split_clause,[],[f16003,f15995,f16025,f16021]) ).

fof(f16025,plain,
    ( spl69_119
  <=> sP0(sK19,sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_119])]) ).

fof(f15995,plain,
    ( spl69_116
  <=> totalorderedP(cons(sK68,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_116])]) ).

fof(f16003,plain,
    ( ~ sP0(sK19,sK68)
    | ~ sP1(sK68,sK19)
    | spl69_116 ),
    inference(resolution,[],[f15997,f431]) ).

fof(f15997,plain,
    ( ~ totalorderedP(cons(sK68,sK19))
    | spl69_116 ),
    inference(avatar_component_clause,[],[f15995]) ).

fof(f16002,plain,
    ( ~ spl69_116
    | spl69_117
    | spl69_5
    | ~ spl69_22 ),
    inference(avatar_split_clause,[],[f15772,f1902,f840,f15999,f15995]) ).

fof(f15999,plain,
    ( spl69_117
  <=> sP0(cons(sK68,sK19),sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_117])]) ).

fof(f15772,plain,
    ( sP0(cons(sK68,sK19),sK68)
    | ~ totalorderedP(cons(sK68,sK19))
    | spl69_5
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f15771,f600]) ).

fof(f15771,plain,
    ( ~ ssItem(sK68)
    | sP0(cons(sK68,sK19),sK68)
    | ~ totalorderedP(cons(sK68,sK19))
    | spl69_5
    | ~ spl69_22 ),
    inference(forward_demodulation,[],[f15770,f1039]) ).

fof(f15770,plain,
    ( sP0(cons(sK68,sK19),sK68)
    | ~ totalorderedP(cons(sK68,sK19))
    | ~ ssItem(hd(cons(sK68,sK19)))
    | spl69_5
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f15602,f1950]) ).

fof(f1950,plain,
    ( nil != cons(sK68,sK19)
    | spl69_5
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f1899,f1903]) ).

fof(f15602,plain,
    ( sP0(cons(sK68,sK19),sK68)
    | ~ totalorderedP(cons(sK68,sK19))
    | nil = cons(sK68,sK19)
    | ~ ssItem(hd(cons(sK68,sK19))) ),
    inference(superposition,[],[f1217,f1039]) ).

fof(f15993,plain,
    spl69_114,
    inference(avatar_contradiction_clause,[],[f15992]) ).

fof(f15992,plain,
    ( $false
    | spl69_114 ),
    inference(subsumption_resolution,[],[f15991,f599]) ).

fof(f15991,plain,
    ( ~ ssItem(sK67)
    | spl69_114 ),
    inference(subsumption_resolution,[],[f15990,f375]) ).

fof(f15990,plain,
    ( ~ ssList(sK19)
    | ~ ssItem(sK67)
    | spl69_114 ),
    inference(resolution,[],[f15984,f437]) ).

fof(f15984,plain,
    ( ~ sP1(sK67,sK19)
    | spl69_114 ),
    inference(avatar_component_clause,[],[f15982]) ).

fof(f15982,plain,
    ( spl69_114
  <=> sP1(sK67,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_114])]) ).

fof(f15989,plain,
    ( ~ spl69_114
    | ~ spl69_115
    | spl69_112 ),
    inference(avatar_split_clause,[],[f15964,f15956,f15986,f15982]) ).

fof(f15986,plain,
    ( spl69_115
  <=> sP0(sK19,sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_115])]) ).

fof(f15956,plain,
    ( spl69_112
  <=> totalorderedP(cons(sK67,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_112])]) ).

fof(f15964,plain,
    ( ~ sP0(sK19,sK67)
    | ~ sP1(sK67,sK19)
    | spl69_112 ),
    inference(resolution,[],[f15958,f431]) ).

fof(f15958,plain,
    ( ~ totalorderedP(cons(sK67,sK19))
    | spl69_112 ),
    inference(avatar_component_clause,[],[f15956]) ).

fof(f15963,plain,
    ( ~ spl69_112
    | spl69_113
    | spl69_5
    | ~ spl69_20 ),
    inference(avatar_split_clause,[],[f15769,f1853,f840,f15960,f15956]) ).

fof(f15960,plain,
    ( spl69_113
  <=> sP0(cons(sK67,sK19),sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_113])]) ).

fof(f15769,plain,
    ( sP0(cons(sK67,sK19),sK67)
    | ~ totalorderedP(cons(sK67,sK19))
    | spl69_5
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f15768,f599]) ).

fof(f15768,plain,
    ( ~ ssItem(sK67)
    | sP0(cons(sK67,sK19),sK67)
    | ~ totalorderedP(cons(sK67,sK19))
    | spl69_5
    | ~ spl69_20 ),
    inference(forward_demodulation,[],[f15767,f1038]) ).

fof(f15767,plain,
    ( sP0(cons(sK67,sK19),sK67)
    | ~ totalorderedP(cons(sK67,sK19))
    | ~ ssItem(hd(cons(sK67,sK19)))
    | spl69_5
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f15601,f1949]) ).

fof(f1949,plain,
    ( nil != cons(sK67,sK19)
    | spl69_5
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f1850,f1854]) ).

fof(f15601,plain,
    ( sP0(cons(sK67,sK19),sK67)
    | ~ totalorderedP(cons(sK67,sK19))
    | nil = cons(sK67,sK19)
    | ~ ssItem(hd(cons(sK67,sK19))) ),
    inference(superposition,[],[f1217,f1038]) ).

fof(f15943,plain,
    spl69_111,
    inference(avatar_contradiction_clause,[],[f15942]) ).

fof(f15942,plain,
    ( $false
    | spl69_111 ),
    inference(subsumption_resolution,[],[f15932,f600]) ).

fof(f15932,plain,
    ( ~ ssItem(sK68)
    | spl69_111 ),
    inference(resolution,[],[f15930,f403]) ).

fof(f15930,plain,
    ( ~ totalorderedP(cons(sK68,nil))
    | spl69_111 ),
    inference(avatar_component_clause,[],[f15928]) ).

fof(f15928,plain,
    ( spl69_111
  <=> totalorderedP(cons(sK68,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_111])]) ).

fof(f15931,plain,
    ( spl69_110
    | ~ spl69_111
    | ~ spl69_3
    | spl69_32 ),
    inference(avatar_split_clause,[],[f15743,f2469,f776,f15928,f15924]) ).

fof(f15924,plain,
    ( spl69_110
  <=> sP0(cons(sK68,nil),sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_110])]) ).

fof(f2469,plain,
    ( spl69_32
  <=> nil = cons(sK68,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_32])]) ).

fof(f15743,plain,
    ( ~ totalorderedP(cons(sK68,nil))
    | sP0(cons(sK68,nil),sK68)
    | ~ spl69_3
    | spl69_32 ),
    inference(subsumption_resolution,[],[f15742,f600]) ).

fof(f15742,plain,
    ( ~ ssItem(sK68)
    | ~ totalorderedP(cons(sK68,nil))
    | sP0(cons(sK68,nil),sK68)
    | ~ spl69_3
    | spl69_32 ),
    inference(forward_demodulation,[],[f15741,f1013]) ).

fof(f15741,plain,
    ( ~ totalorderedP(cons(sK68,nil))
    | sP0(cons(sK68,nil),sK68)
    | ~ ssItem(hd(cons(sK68,sK18)))
    | ~ spl69_3
    | spl69_32 ),
    inference(subsumption_resolution,[],[f15740,f2470]) ).

fof(f2470,plain,
    ( nil != cons(sK68,nil)
    | spl69_32 ),
    inference(avatar_component_clause,[],[f2469]) ).

fof(f15740,plain,
    ( nil = cons(sK68,nil)
    | ~ totalorderedP(cons(sK68,nil))
    | sP0(cons(sK68,nil),sK68)
    | ~ ssItem(hd(cons(sK68,sK18)))
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f15739,f778]) ).

fof(f15739,plain,
    ( ~ totalorderedP(cons(sK68,nil))
    | sP0(cons(sK68,nil),sK68)
    | nil = cons(sK68,sK18)
    | ~ ssItem(hd(cons(sK68,sK18)))
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f15738,f778]) ).

fof(f15738,plain,
    ( sP0(cons(sK68,nil),sK68)
    | ~ totalorderedP(cons(sK68,sK18))
    | nil = cons(sK68,sK18)
    | ~ ssItem(hd(cons(sK68,sK18)))
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f15585,f778]) ).

fof(f15585,plain,
    ( sP0(cons(sK68,sK18),sK68)
    | ~ totalorderedP(cons(sK68,sK18))
    | nil = cons(sK68,sK18)
    | ~ ssItem(hd(cons(sK68,sK18))) ),
    inference(superposition,[],[f1217,f1013]) ).

fof(f15911,plain,
    spl69_109,
    inference(avatar_contradiction_clause,[],[f15910]) ).

fof(f15910,plain,
    ( $false
    | spl69_109 ),
    inference(subsumption_resolution,[],[f15900,f599]) ).

fof(f15900,plain,
    ( ~ ssItem(sK67)
    | spl69_109 ),
    inference(resolution,[],[f15898,f403]) ).

fof(f15898,plain,
    ( ~ totalorderedP(cons(sK67,nil))
    | spl69_109 ),
    inference(avatar_component_clause,[],[f15896]) ).

fof(f15896,plain,
    ( spl69_109
  <=> totalorderedP(cons(sK67,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_109])]) ).

fof(f15899,plain,
    ( spl69_108
    | ~ spl69_109
    | ~ spl69_3
    | spl69_30 ),
    inference(avatar_split_clause,[],[f15737,f2385,f776,f15896,f15892]) ).

fof(f15892,plain,
    ( spl69_108
  <=> sP0(cons(sK67,nil),sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_108])]) ).

fof(f2385,plain,
    ( spl69_30
  <=> nil = cons(sK67,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_30])]) ).

fof(f15737,plain,
    ( ~ totalorderedP(cons(sK67,nil))
    | sP0(cons(sK67,nil),sK67)
    | ~ spl69_3
    | spl69_30 ),
    inference(subsumption_resolution,[],[f15736,f599]) ).

fof(f15736,plain,
    ( ~ ssItem(sK67)
    | ~ totalorderedP(cons(sK67,nil))
    | sP0(cons(sK67,nil),sK67)
    | ~ spl69_3
    | spl69_30 ),
    inference(forward_demodulation,[],[f15735,f1012]) ).

fof(f15735,plain,
    ( ~ totalorderedP(cons(sK67,nil))
    | sP0(cons(sK67,nil),sK67)
    | ~ ssItem(hd(cons(sK67,sK18)))
    | ~ spl69_3
    | spl69_30 ),
    inference(subsumption_resolution,[],[f15734,f2386]) ).

fof(f2386,plain,
    ( nil != cons(sK67,nil)
    | spl69_30 ),
    inference(avatar_component_clause,[],[f2385]) ).

fof(f15734,plain,
    ( nil = cons(sK67,nil)
    | ~ totalorderedP(cons(sK67,nil))
    | sP0(cons(sK67,nil),sK67)
    | ~ ssItem(hd(cons(sK67,sK18)))
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f15733,f778]) ).

fof(f15733,plain,
    ( ~ totalorderedP(cons(sK67,nil))
    | sP0(cons(sK67,nil),sK67)
    | nil = cons(sK67,sK18)
    | ~ ssItem(hd(cons(sK67,sK18)))
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f15732,f778]) ).

fof(f15732,plain,
    ( sP0(cons(sK67,nil),sK67)
    | ~ totalorderedP(cons(sK67,sK18))
    | nil = cons(sK67,sK18)
    | ~ ssItem(hd(cons(sK67,sK18)))
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f15584,f778]) ).

fof(f15584,plain,
    ( sP0(cons(sK67,sK18),sK67)
    | ~ totalorderedP(cons(sK67,sK18))
    | nil = cons(sK67,sK18)
    | ~ ssItem(hd(cons(sK67,sK18))) ),
    inference(superposition,[],[f1217,f1012]) ).

fof(f13629,plain,
    ( ~ spl69_106
    | spl69_107
    | ~ spl69_22
    | ~ spl69_23
    | ~ spl69_78
    | ~ spl69_101 ),
    inference(avatar_split_clause,[],[f11350,f11281,f8735,f1906,f1902,f13626,f13622]) ).

fof(f13622,plain,
    ( spl69_106
  <=> frontsegP(cons(sK68,nil),app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_106])]) ).

fof(f13626,plain,
    ( spl69_107
  <=> frontsegP(cons(sK68,sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_107])]) ).

fof(f11281,plain,
    ( spl69_101
  <=> frontsegP(app(sK19,sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_101])]) ).

fof(f11350,plain,
    ( frontsegP(cons(sK68,sK19),sK19)
    | ~ frontsegP(cons(sK68,nil),app(sK19,sK19))
    | ~ spl69_22
    | ~ spl69_23
    | ~ spl69_78
    | ~ spl69_101 ),
    inference(subsumption_resolution,[],[f11349,f8736]) ).

fof(f11349,plain,
    ( frontsegP(cons(sK68,sK19),sK19)
    | ~ frontsegP(cons(sK68,nil),app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ spl69_22
    | ~ spl69_23
    | ~ spl69_78
    | ~ spl69_101 ),
    inference(subsumption_resolution,[],[f11335,f1908]) ).

fof(f11335,plain,
    ( frontsegP(cons(sK68,sK19),sK19)
    | ~ ssList(cons(sK68,sK19))
    | ~ frontsegP(cons(sK68,nil),app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ spl69_22
    | ~ spl69_78
    | ~ spl69_101 ),
    inference(resolution,[],[f11299,f2877]) ).

fof(f2877,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,sK19),X0)
        | ~ frontsegP(cons(sK68,nil),X0)
        | ~ ssList(X0) )
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2876,f1903]) ).

fof(f2876,plain,
    ! [X0] :
      ( frontsegP(cons(sK68,sK19),X0)
      | ~ frontsegP(cons(sK68,nil),X0)
      | ~ ssList(X0)
      | ~ ssList(cons(sK68,nil)) ),
    inference(subsumption_resolution,[],[f2847,f375]) ).

fof(f2847,plain,
    ! [X0] :
      ( frontsegP(cons(sK68,sK19),X0)
      | ~ frontsegP(cons(sK68,nil),X0)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f592,f1843]) ).

fof(f11299,plain,
    ( ! [X0] :
        ( ~ frontsegP(X0,app(sK19,sK19))
        | frontsegP(X0,sK19)
        | ~ ssList(X0) )
    | ~ spl69_78
    | ~ spl69_101 ),
    inference(subsumption_resolution,[],[f11298,f8736]) ).

fof(f11298,plain,
    ( ! [X0] :
        ( frontsegP(X0,sK19)
        | ~ frontsegP(X0,app(sK19,sK19))
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_101 ),
    inference(subsumption_resolution,[],[f11295,f375]) ).

fof(f11295,plain,
    ( ! [X0] :
        ( frontsegP(X0,sK19)
        | ~ frontsegP(X0,app(sK19,sK19))
        | ~ ssList(sK19)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_101 ),
    inference(resolution,[],[f11283,f597]) ).

fof(f11283,plain,
    ( frontsegP(app(sK19,sK19),sK19)
    | ~ spl69_101 ),
    inference(avatar_component_clause,[],[f11281]) ).

fof(f13615,plain,
    ( ~ spl69_104
    | spl69_105
    | ~ spl69_20
    | ~ spl69_21
    | ~ spl69_78
    | ~ spl69_101 ),
    inference(avatar_split_clause,[],[f11348,f11281,f8735,f1857,f1853,f13612,f13608]) ).

fof(f13608,plain,
    ( spl69_104
  <=> frontsegP(cons(sK67,nil),app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_104])]) ).

fof(f13612,plain,
    ( spl69_105
  <=> frontsegP(cons(sK67,sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_105])]) ).

fof(f11348,plain,
    ( frontsegP(cons(sK67,sK19),sK19)
    | ~ frontsegP(cons(sK67,nil),app(sK19,sK19))
    | ~ spl69_20
    | ~ spl69_21
    | ~ spl69_78
    | ~ spl69_101 ),
    inference(subsumption_resolution,[],[f11347,f8736]) ).

fof(f11347,plain,
    ( frontsegP(cons(sK67,sK19),sK19)
    | ~ frontsegP(cons(sK67,nil),app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ spl69_20
    | ~ spl69_21
    | ~ spl69_78
    | ~ spl69_101 ),
    inference(subsumption_resolution,[],[f11332,f1859]) ).

fof(f11332,plain,
    ( frontsegP(cons(sK67,sK19),sK19)
    | ~ ssList(cons(sK67,sK19))
    | ~ frontsegP(cons(sK67,nil),app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ spl69_20
    | ~ spl69_78
    | ~ spl69_101 ),
    inference(resolution,[],[f11299,f2875]) ).

fof(f2875,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,sK19),X0)
        | ~ frontsegP(cons(sK67,nil),X0)
        | ~ ssList(X0) )
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2874,f1854]) ).

fof(f2874,plain,
    ! [X0] :
      ( frontsegP(cons(sK67,sK19),X0)
      | ~ frontsegP(cons(sK67,nil),X0)
      | ~ ssList(X0)
      | ~ ssList(cons(sK67,nil)) ),
    inference(subsumption_resolution,[],[f2846,f375]) ).

fof(f2846,plain,
    ! [X0] :
      ( frontsegP(cons(sK67,sK19),X0)
      | ~ frontsegP(cons(sK67,nil),X0)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f592,f1842]) ).

fof(f13512,plain,
    ( ~ spl69_102
    | spl69_103
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(avatar_split_clause,[],[f9625,f8739,f1479,f1440,f1354,f840,f13509,f13505]) ).

fof(f13505,plain,
    ( spl69_102
  <=> segmentP(sK19,app(tl(sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_102])]) ).

fof(f13509,plain,
    ( spl69_103
  <=> sK19 = app(tl(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_103])]) ).

fof(f9625,plain,
    ( sK19 = app(tl(sK19),sK19)
    | ~ segmentP(sK19,app(tl(sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f9624,f375]) ).

fof(f9624,plain,
    ( sK19 = app(tl(sK19),sK19)
    | ~ segmentP(sK19,app(tl(sK19),sK19))
    | ~ ssList(sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f9619,f8741]) ).

fof(f9619,plain,
    ( sK19 = app(tl(sK19),sK19)
    | ~ segmentP(sK19,app(tl(sK19),sK19))
    | ~ ssList(app(tl(sK19),sK19))
    | ~ ssList(sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(resolution,[],[f9613,f570]) ).

fof(f9613,plain,
    ( segmentP(app(tl(sK19),sK19),sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f9612,f8741]) ).

fof(f9612,plain,
    ( ~ ssList(app(tl(sK19),sK19))
    | segmentP(app(tl(sK19),sK19),sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(forward_demodulation,[],[f9611,f8893]) ).

fof(f8893,plain,
    ( app(tl(sK19),sK19) = app(app(tl(sK19),sK19),nil)
    | ~ spl69_79 ),
    inference(resolution,[],[f8741,f455]) ).

fof(f9611,plain,
    ( segmentP(app(tl(sK19),sK19),sK19)
    | ~ ssList(app(app(tl(sK19),sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f9610,f375]) ).

fof(f9610,plain,
    ( segmentP(app(tl(sK19),sK19),sK19)
    | ~ ssList(sK19)
    | ~ ssList(app(app(tl(sK19),sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f9609,f1632]) ).

fof(f9609,plain,
    ( segmentP(app(tl(sK19),sK19),sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(app(app(tl(sK19),sK19),nil))
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f9592,f393]) ).

fof(f9592,plain,
    ( segmentP(app(tl(sK19),sK19),sK19)
    | ~ ssList(nil)
    | ~ ssList(tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(app(app(tl(sK19),sK19),nil))
    | ~ spl69_79 ),
    inference(superposition,[],[f625,f8893]) ).

fof(f11317,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_44
    | spl69_100 ),
    inference(avatar_contradiction_clause,[],[f11316]) ).

fof(f11316,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_44
    | spl69_100 ),
    inference(subsumption_resolution,[],[f11315,f1632]) ).

fof(f11315,plain,
    ( ~ ssList(tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_44
    | spl69_100 ),
    inference(subsumption_resolution,[],[f11314,f375]) ).

fof(f11314,plain,
    ( ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_44
    | spl69_100 ),
    inference(subsumption_resolution,[],[f11310,f10324]) ).

fof(f10324,plain,
    ( frontsegP(tl(sK19),tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_44 ),
    inference(forward_demodulation,[],[f10323,f3725]) ).

fof(f3725,plain,
    ( tl(sK19) = sK63(tl(sK19),nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_44 ),
    inference(forward_demodulation,[],[f3712,f3487]) ).

fof(f3487,plain,
    ( tl(sK19) = app(sK63(tl(sK19),nil),nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f3453,f1628]) ).

fof(f3453,plain,
    ( sK22(sK19) = app(sK63(sK22(sK19),nil),nil)
    | ~ spl69_12 ),
    inference(resolution,[],[f2591,f1480]) ).

fof(f3712,plain,
    ( sK63(tl(sK19),nil) = app(sK63(tl(sK19),nil),nil)
    | ~ spl69_44 ),
    inference(resolution,[],[f3690,f455]) ).

fof(f3690,plain,
    ( ssList(sK63(tl(sK19),nil))
    | ~ spl69_44 ),
    inference(avatar_component_clause,[],[f3689]) ).

fof(f3689,plain,
    ( spl69_44
  <=> ssList(sK63(tl(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_44])]) ).

fof(f10323,plain,
    ( frontsegP(tl(sK19),sK63(tl(sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_44 ),
    inference(subsumption_resolution,[],[f3609,f3690]) ).

fof(f3609,plain,
    ( frontsegP(tl(sK19),sK63(tl(sK19),nil))
    | ~ ssList(sK63(tl(sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f3605,f393]) ).

fof(f3605,plain,
    ( frontsegP(tl(sK19),sK63(tl(sK19),nil))
    | ~ ssList(nil)
    | ~ ssList(sK63(tl(sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(superposition,[],[f2276,f3487]) ).

fof(f11310,plain,
    ( ~ frontsegP(tl(sK19),tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_100 ),
    inference(duplicate_literal_removal,[],[f11309]) ).

fof(f11309,plain,
    ( ~ frontsegP(tl(sK19),tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(tl(sK19))
    | spl69_100 ),
    inference(resolution,[],[f11279,f592]) ).

fof(f11279,plain,
    ( ~ frontsegP(app(tl(sK19),sK19),tl(sK19))
    | spl69_100 ),
    inference(avatar_component_clause,[],[f11277]) ).

fof(f11277,plain,
    ( spl69_100
  <=> frontsegP(app(tl(sK19),sK19),tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_100])]) ).

fof(f11313,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_100 ),
    inference(avatar_contradiction_clause,[],[f11312]) ).

fof(f11312,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_100 ),
    inference(subsumption_resolution,[],[f11311,f1632]) ).

fof(f11311,plain,
    ( ~ ssList(tl(sK19))
    | spl69_100 ),
    inference(subsumption_resolution,[],[f11308,f375]) ).

fof(f11308,plain,
    ( ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_100 ),
    inference(resolution,[],[f11279,f2276]) ).

fof(f11294,plain,
    ( ~ spl69_42
    | spl69_101 ),
    inference(avatar_contradiction_clause,[],[f11293]) ).

fof(f11293,plain,
    ( $false
    | ~ spl69_42
    | spl69_101 ),
    inference(subsumption_resolution,[],[f11292,f375]) ).

fof(f11292,plain,
    ( ~ ssList(sK19)
    | ~ spl69_42
    | spl69_101 ),
    inference(subsumption_resolution,[],[f11288,f3611]) ).

fof(f3611,plain,
    ( frontsegP(sK19,sK19)
    | ~ spl69_42 ),
    inference(forward_demodulation,[],[f3610,f3593]) ).

fof(f3593,plain,
    ( sK19 = sK63(sK19,nil)
    | ~ spl69_42 ),
    inference(forward_demodulation,[],[f3581,f3449]) ).

fof(f3581,plain,
    ( sK63(sK19,nil) = app(sK63(sK19,nil),nil)
    | ~ spl69_42 ),
    inference(resolution,[],[f3559,f455]) ).

fof(f3559,plain,
    ( ssList(sK63(sK19,nil))
    | ~ spl69_42 ),
    inference(avatar_component_clause,[],[f3558]) ).

fof(f3558,plain,
    ( spl69_42
  <=> ssList(sK63(sK19,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_42])]) ).

fof(f3610,plain,
    ( frontsegP(sK19,sK63(sK19,nil))
    | ~ spl69_42 ),
    inference(subsumption_resolution,[],[f3556,f3559]) ).

fof(f11288,plain,
    ( ~ frontsegP(sK19,sK19)
    | ~ ssList(sK19)
    | spl69_101 ),
    inference(duplicate_literal_removal,[],[f11287]) ).

fof(f11287,plain,
    ( ~ frontsegP(sK19,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_101 ),
    inference(resolution,[],[f11282,f592]) ).

fof(f11282,plain,
    ( ~ frontsegP(app(sK19,sK19),sK19)
    | spl69_101 ),
    inference(avatar_component_clause,[],[f11281]) ).

fof(f11291,plain,
    spl69_101,
    inference(avatar_contradiction_clause,[],[f11290]) ).

fof(f11290,plain,
    ( $false
    | spl69_101 ),
    inference(subsumption_resolution,[],[f11289,f375]) ).

fof(f11289,plain,
    ( ~ ssList(sK19)
    | spl69_101 ),
    inference(duplicate_literal_removal,[],[f11286]) ).

fof(f11286,plain,
    ( ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_101 ),
    inference(resolution,[],[f11282,f2276]) ).

fof(f11284,plain,
    ( ~ spl69_100
    | spl69_101
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78
    | ~ spl69_79 ),
    inference(avatar_split_clause,[],[f9510,f8739,f8735,f8584,f1479,f1440,f1354,f840,f11281,f11277]) ).

fof(f9510,plain,
    ( frontsegP(app(sK19,sK19),sK19)
    | ~ frontsegP(app(tl(sK19),sK19),tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f9474,f8741]) ).

fof(f9474,plain,
    ( frontsegP(app(sK19,sK19),sK19)
    | ~ frontsegP(app(tl(sK19),sK19),tl(sK19))
    | ~ ssList(app(tl(sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_76
    | ~ spl69_78 ),
    inference(superposition,[],[f4378,f8885]) ).

fof(f4378,plain,
    ( ! [X0] :
        ( frontsegP(cons(hd(sK19),X0),sK19)
        | ~ frontsegP(X0,tl(sK19))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f4377,f1628]) ).

fof(f4377,plain,
    ( ! [X0] :
        ( frontsegP(cons(hd(sK19),X0),sK19)
        | ~ frontsegP(X0,sK22(sK19))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f4376,f1525]) ).

fof(f4376,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK23(sK19),X0),sK19)
        | ~ frontsegP(X0,sK22(sK19))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f4375,f1355]) ).

fof(f4375,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK23(sK19),X0),sK19)
        | ~ frontsegP(X0,sK22(sK19))
        | ~ ssList(X0)
        | ~ ssItem(sK23(sK19)) )
    | spl69_5
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f4357,f1480]) ).

fof(f4357,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK23(sK19),X0),sK19)
        | ~ frontsegP(X0,sK22(sK19))
        | ~ ssList(sK22(sK19))
        | ~ ssList(X0)
        | ~ ssItem(sK23(sK19)) )
    | spl69_5 ),
    inference(superposition,[],[f632,f1337]) ).

fof(f11128,plain,
    ( ~ spl69_98
    | spl69_99
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(avatar_split_clause,[],[f8573,f1479,f1440,f1354,f840,f11125,f11121]) ).

fof(f11121,plain,
    ( spl69_98
  <=> sP2(cons(sK68,tl(sK19)),sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_98])]) ).

fof(f8573,plain,
    ( nil = cons(sK68,tl(sK19))
    | ~ sP2(cons(sK68,tl(sK19)),sK68)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f8572,f600]) ).

fof(f8572,plain,
    ( ~ ssItem(sK68)
    | nil = cons(sK68,tl(sK19))
    | ~ sP2(cons(sK68,tl(sK19)),sK68)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f8571,f1524]) ).

fof(f8571,plain,
    ( nil = cons(sK68,tl(sK19))
    | ~ sP2(cons(sK68,tl(sK19)),sK68)
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f8570,f1628]) ).

fof(f8570,plain,
    ( ~ sP2(cons(sK68,tl(sK19)),sK68)
    | nil = cons(sK68,sK22(sK19))
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f8472,f1628]) ).

fof(f8472,plain,
    ( ~ sP2(cons(sK68,sK22(sK19)),sK68)
    | nil = cons(sK68,sK22(sK19))
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | ~ spl69_12 ),
    inference(superposition,[],[f794,f1524]) ).

fof(f11001,plain,
    ( ~ spl69_96
    | spl69_97
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(avatar_split_clause,[],[f8569,f1479,f1440,f1354,f840,f10998,f10994]) ).

fof(f10994,plain,
    ( spl69_96
  <=> sP2(cons(sK67,tl(sK19)),sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_96])]) ).

fof(f8569,plain,
    ( nil = cons(sK67,tl(sK19))
    | ~ sP2(cons(sK67,tl(sK19)),sK67)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f8568,f599]) ).

fof(f8568,plain,
    ( ~ ssItem(sK67)
    | nil = cons(sK67,tl(sK19))
    | ~ sP2(cons(sK67,tl(sK19)),sK67)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f8567,f1523]) ).

fof(f8567,plain,
    ( nil = cons(sK67,tl(sK19))
    | ~ sP2(cons(sK67,tl(sK19)),sK67)
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f8566,f1628]) ).

fof(f8566,plain,
    ( ~ sP2(cons(sK67,tl(sK19)),sK67)
    | nil = cons(sK67,sK22(sK19))
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f8471,f1628]) ).

fof(f8471,plain,
    ( ~ sP2(cons(sK67,sK22(sK19)),sK67)
    | nil = cons(sK67,sK22(sK19))
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | ~ spl69_12 ),
    inference(superposition,[],[f794,f1523]) ).

fof(f10658,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_74
    | ~ spl69_94 ),
    inference(avatar_contradiction_clause,[],[f10657]) ).

fof(f10657,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_74
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10656,f1632]) ).

fof(f10656,plain,
    ( ~ ssList(tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_74
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10655,f375]) ).

fof(f10655,plain,
    ( ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_74
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10610,f7789]) ).

fof(f7789,plain,
    ( ~ frontsegP(nil,tl(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_74 ),
    inference(subsumption_resolution,[],[f7788,f1632]) ).

fof(f7788,plain,
    ( ~ frontsegP(nil,tl(sK19))
    | ~ ssList(tl(sK19))
    | spl69_74 ),
    inference(resolution,[],[f7774,f2873]) ).

fof(f7774,plain,
    ( ~ frontsegP(sK19,tl(sK19))
    | spl69_74 ),
    inference(avatar_component_clause,[],[f7772]) ).

fof(f7772,plain,
    ( spl69_74
  <=> frontsegP(sK19,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_74])]) ).

fof(f10610,plain,
    ( frontsegP(nil,tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ spl69_94 ),
    inference(superposition,[],[f2276,f10570]) ).

fof(f10570,plain,
    ( nil = app(tl(sK19),sK19)
    | ~ spl69_94 ),
    inference(avatar_component_clause,[],[f10568]) ).

fof(f10568,plain,
    ( spl69_94
  <=> nil = app(tl(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_94])]) ).

fof(f10654,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_94 ),
    inference(avatar_contradiction_clause,[],[f10653]) ).

fof(f10653,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10652,f375]) ).

fof(f10652,plain,
    ( ~ ssList(sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10651,f1632]) ).

fof(f10651,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssList(sK19)
    | spl69_5
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10609,f3037]) ).

fof(f10609,plain,
    ( rearsegP(nil,sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(sK19)
    | ~ spl69_94 ),
    inference(superposition,[],[f2136,f10570]) ).

fof(f10633,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_18
    | ~ spl69_94 ),
    inference(avatar_contradiction_clause,[],[f10632]) ).

fof(f10632,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_18
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10631,f1632]) ).

fof(f10631,plain,
    ( ~ ssList(tl(sK19))
    | spl69_18
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10630,f375]) ).

fof(f10630,plain,
    ( ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_18
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10611,f1751]) ).

fof(f1751,plain,
    ( nil != tl(sK19)
    | spl69_18 ),
    inference(avatar_component_clause,[],[f1750]) ).

fof(f1750,plain,
    ( spl69_18
  <=> nil = tl(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_18])]) ).

fof(f10611,plain,
    ( nil = tl(sK19)
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ spl69_94 ),
    inference(trivial_inequality_removal,[],[f10600]) ).

fof(f10600,plain,
    ( nil != nil
    | nil = tl(sK19)
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ spl69_94 ),
    inference(superposition,[],[f585,f10570]) ).

fof(f10629,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_94 ),
    inference(avatar_contradiction_clause,[],[f10628]) ).

fof(f10628,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10627,f1632]) ).

fof(f10627,plain,
    ( ~ ssList(tl(sK19))
    | spl69_5
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10626,f375]) ).

fof(f10626,plain,
    ( ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_5
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10612,f841]) ).

fof(f10612,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ spl69_94 ),
    inference(trivial_inequality_removal,[],[f10599]) ).

fof(f10599,plain,
    ( nil != nil
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ spl69_94 ),
    inference(superposition,[],[f584,f10570]) ).

fof(f10617,plain,
    ( ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79
    | spl69_81
    | ~ spl69_94 ),
    inference(avatar_contradiction_clause,[],[f10616]) ).

fof(f10616,plain,
    ( $false
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79
    | spl69_81
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10591,f637]) ).

fof(f10591,plain,
    ( ~ segmentP(nil,nil)
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79
    | spl69_81
    | ~ spl69_94 ),
    inference(superposition,[],[f10009,f10570]) ).

fof(f10009,plain,
    ( ~ segmentP(nil,app(tl(sK19),sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79
    | spl69_81 ),
    inference(subsumption_resolution,[],[f10008,f8741]) ).

fof(f10008,plain,
    ( ~ segmentP(nil,app(tl(sK19),sK19))
    | ~ ssList(app(tl(sK19),sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79
    | spl69_81 ),
    inference(subsumption_resolution,[],[f10007,f1632]) ).

fof(f10007,plain,
    ( ~ ssList(tl(sK19))
    | ~ segmentP(nil,app(tl(sK19),sK19))
    | ~ ssList(app(tl(sK19),sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79
    | spl69_81 ),
    inference(subsumption_resolution,[],[f9984,f9340]) ).

fof(f9340,plain,
    ( ~ segmentP(tl(sK19),sK19)
    | spl69_81 ),
    inference(avatar_component_clause,[],[f9339]) ).

fof(f9339,plain,
    ( spl69_81
  <=> segmentP(tl(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_81])]) ).

fof(f9984,plain,
    ( segmentP(tl(sK19),sK19)
    | ~ ssList(tl(sK19))
    | ~ segmentP(nil,app(tl(sK19),sK19))
    | ~ ssList(app(tl(sK19),sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(resolution,[],[f9623,f7434]) ).

fof(f7434,plain,
    ( ! [X0] :
        ( segmentP(tl(sK19),X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f7433,f1628]) ).

fof(f7433,plain,
    ( ! [X0] :
        ( segmentP(sK22(sK19),X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_3
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f7406,f1480]) ).

fof(f7406,plain,
    ( ! [X0] :
        ( segmentP(sK22(sK19),X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(sK22(sK19))
        | ~ ssList(X0) )
    | ~ spl69_3
    | ~ spl69_12 ),
    inference(superposition,[],[f6436,f1492]) ).

fof(f1492,plain,
    ( sK22(sK19) = app(nil,sK22(sK19))
    | ~ spl69_12 ),
    inference(resolution,[],[f1480,f456]) ).

fof(f9623,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,app(tl(sK19),sK19))
        | segmentP(X0,sK19)
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f9622,f8741]) ).

fof(f9622,plain,
    ( ! [X0] :
        ( segmentP(X0,sK19)
        | ~ segmentP(X0,app(tl(sK19),sK19))
        | ~ ssList(app(tl(sK19),sK19))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f9618,f375]) ).

fof(f9618,plain,
    ( ! [X0] :
        ( segmentP(X0,sK19)
        | ~ segmentP(X0,app(tl(sK19),sK19))
        | ~ ssList(sK19)
        | ~ ssList(app(tl(sK19),sK19))
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79 ),
    inference(resolution,[],[f9613,f596]) ).

fof(f10614,plain,
    ( ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79
    | ~ spl69_94 ),
    inference(avatar_contradiction_clause,[],[f10613]) ).

fof(f10613,plain,
    ( $false
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79
    | ~ spl69_94 ),
    inference(subsumption_resolution,[],[f10584,f7698]) ).

fof(f7698,plain,
    ( ~ segmentP(nil,sK19)
    | ~ spl69_3
    | spl69_5 ),
    inference(subsumption_resolution,[],[f7697,f841]) ).

fof(f7697,plain,
    ( nil = sK19
    | ~ segmentP(nil,sK19)
    | ~ spl69_3 ),
    inference(subsumption_resolution,[],[f7696,f393]) ).

fof(f7696,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ segmentP(nil,sK19)
    | ~ spl69_3 ),
    inference(duplicate_literal_removal,[],[f7692]) ).

fof(f7692,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ segmentP(nil,sK19)
    | ~ ssList(nil)
    | ~ spl69_3 ),
    inference(resolution,[],[f7454,f454]) ).

fof(f7454,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | sK19 = X0
        | ~ segmentP(X0,sK19) )
    | ~ spl69_3 ),
    inference(subsumption_resolution,[],[f7449,f375]) ).

fof(f7449,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | sK19 = X0
        | ~ segmentP(X0,sK19)
        | ~ ssList(sK19) )
    | ~ spl69_3 ),
    inference(duplicate_literal_removal,[],[f7448]) ).

fof(f7448,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | sK19 = X0
        | ~ segmentP(X0,sK19)
        | ~ ssList(sK19)
        | ~ ssList(X0) )
    | ~ spl69_3 ),
    inference(resolution,[],[f7432,f570]) ).

fof(f10584,plain,
    ( segmentP(nil,sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_79
    | ~ spl69_94 ),
    inference(superposition,[],[f9613,f10570]) ).

fof(f10575,plain,
    ( spl69_94
    | spl69_95
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_18
    | ~ spl69_79 ),
    inference(avatar_split_clause,[],[f9384,f8739,f1750,f1479,f1440,f1354,f840,f10572,f10568]) ).

fof(f10572,plain,
    ( spl69_95
  <=> ssList(app(tl(tl(sK19)),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_95])]) ).

fof(f9384,plain,
    ( ssList(app(tl(tl(sK19)),sK19))
    | nil = app(tl(sK19),sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_18
    | ~ spl69_79 ),
    inference(subsumption_resolution,[],[f9379,f8741]) ).

fof(f9379,plain,
    ( ssList(app(tl(tl(sK19)),sK19))
    | nil = app(tl(sK19),sK19)
    | ~ ssList(app(tl(sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_18 ),
    inference(superposition,[],[f461,f8681]) ).

fof(f8681,plain,
    ( tl(app(tl(sK19),sK19)) = app(tl(tl(sK19)),sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_18 ),
    inference(subsumption_resolution,[],[f8680,f1751]) ).

fof(f8680,plain,
    ( nil = tl(sK19)
    | tl(app(tl(sK19),sK19)) = app(tl(tl(sK19)),sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f8679,f1628]) ).

fof(f8679,plain,
    ( tl(app(tl(sK19),sK19)) = app(tl(tl(sK19)),sK19)
    | nil = sK22(sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f8608,f1628]) ).

fof(f8608,plain,
    ( tl(app(sK22(sK19),sK19)) = app(tl(sK22(sK19)),sK19)
    | nil = sK22(sK19)
    | ~ spl69_12 ),
    inference(resolution,[],[f3624,f1480]) ).

fof(f10467,plain,
    ( spl69_92
    | ~ spl69_93
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(avatar_split_clause,[],[f4350,f2178,f1440,f10464,f10460]) ).

fof(f4350,plain,
    ( sK19 != cons(hd(sK19),sK19)
    | nil = cons(hd(sK19),nil)
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(subsumption_resolution,[],[f4345,f2179]) ).

fof(f4345,plain,
    ( sK19 != cons(hd(sK19),sK19)
    | nil = cons(hd(sK19),nil)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_10 ),
    inference(superposition,[],[f3873,f1823]) ).

fof(f10293,plain,
    ( ~ spl69_90
    | spl69_91
    | ~ spl69_22
    | ~ spl69_23 ),
    inference(avatar_split_clause,[],[f10284,f1906,f1902,f10290,f10286]) ).

fof(f10286,plain,
    ( spl69_90
  <=> frontsegP(nil,cons(sK68,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_90])]) ).

fof(f10290,plain,
    ( spl69_91
  <=> frontsegP(sK19,cons(sK68,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_91])]) ).

fof(f10284,plain,
    ( frontsegP(sK19,cons(sK68,nil))
    | ~ frontsegP(nil,cons(sK68,sK19))
    | ~ spl69_22
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f10283,f1908]) ).

fof(f10283,plain,
    ( frontsegP(sK19,cons(sK68,nil))
    | ~ frontsegP(nil,cons(sK68,sK19))
    | ~ ssList(cons(sK68,sK19))
    | ~ spl69_22
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f10258,f375]) ).

fof(f10258,plain,
    ( frontsegP(sK19,cons(sK68,nil))
    | ~ ssList(sK19)
    | ~ frontsegP(nil,cons(sK68,sK19))
    | ~ ssList(cons(sK68,sK19))
    | ~ spl69_22
    | ~ spl69_23 ),
    inference(resolution,[],[f3525,f2873]) ).

fof(f3525,plain,
    ( ! [X0] :
        ( ~ frontsegP(X0,cons(sK68,sK19))
        | frontsegP(X0,cons(sK68,nil))
        | ~ ssList(X0) )
    | ~ spl69_22
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f3524,f1908]) ).

fof(f3524,plain,
    ( ! [X0] :
        ( frontsegP(X0,cons(sK68,nil))
        | ~ frontsegP(X0,cons(sK68,sK19))
        | ~ ssList(cons(sK68,sK19))
        | ~ ssList(X0) )
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f3493,f1903]) ).

fof(f3493,plain,
    ( ! [X0] :
        ( frontsegP(X0,cons(sK68,nil))
        | ~ frontsegP(X0,cons(sK68,sK19))
        | ~ ssList(cons(sK68,nil))
        | ~ ssList(cons(sK68,sK19))
        | ~ ssList(X0) )
    | ~ spl69_22 ),
    inference(resolution,[],[f597,f2316]) ).

fof(f2316,plain,
    ( frontsegP(cons(sK68,sK19),cons(sK68,nil))
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2315,f1903]) ).

fof(f2315,plain,
    ( frontsegP(cons(sK68,sK19),cons(sK68,nil))
    | ~ ssList(cons(sK68,nil)) ),
    inference(subsumption_resolution,[],[f2307,f375]) ).

fof(f2307,plain,
    ( frontsegP(cons(sK68,sK19),cons(sK68,nil))
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f2276,f1843]) ).

fof(f10237,plain,
    ( ~ spl69_88
    | spl69_89
    | ~ spl69_20
    | ~ spl69_21 ),
    inference(avatar_split_clause,[],[f10205,f1857,f1853,f10234,f10230]) ).

fof(f10230,plain,
    ( spl69_88
  <=> frontsegP(nil,cons(sK67,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_88])]) ).

fof(f10234,plain,
    ( spl69_89
  <=> frontsegP(sK19,cons(sK67,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_89])]) ).

fof(f10205,plain,
    ( frontsegP(sK19,cons(sK67,nil))
    | ~ frontsegP(nil,cons(sK67,sK19))
    | ~ spl69_20
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f10204,f1859]) ).

fof(f10204,plain,
    ( frontsegP(sK19,cons(sK67,nil))
    | ~ frontsegP(nil,cons(sK67,sK19))
    | ~ ssList(cons(sK67,sK19))
    | ~ spl69_20
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f10179,f375]) ).

fof(f10179,plain,
    ( frontsegP(sK19,cons(sK67,nil))
    | ~ ssList(sK19)
    | ~ frontsegP(nil,cons(sK67,sK19))
    | ~ ssList(cons(sK67,sK19))
    | ~ spl69_20
    | ~ spl69_21 ),
    inference(resolution,[],[f3523,f2873]) ).

fof(f3523,plain,
    ( ! [X0] :
        ( ~ frontsegP(X0,cons(sK67,sK19))
        | frontsegP(X0,cons(sK67,nil))
        | ~ ssList(X0) )
    | ~ spl69_20
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f3522,f1859]) ).

fof(f3522,plain,
    ( ! [X0] :
        ( frontsegP(X0,cons(sK67,nil))
        | ~ frontsegP(X0,cons(sK67,sK19))
        | ~ ssList(cons(sK67,sK19))
        | ~ ssList(X0) )
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f3492,f1854]) ).

fof(f3492,plain,
    ( ! [X0] :
        ( frontsegP(X0,cons(sK67,nil))
        | ~ frontsegP(X0,cons(sK67,sK19))
        | ~ ssList(cons(sK67,nil))
        | ~ ssList(cons(sK67,sK19))
        | ~ ssList(X0) )
    | ~ spl69_20 ),
    inference(resolution,[],[f597,f2314]) ).

fof(f2314,plain,
    ( frontsegP(cons(sK67,sK19),cons(sK67,nil))
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2313,f1854]) ).

fof(f2313,plain,
    ( frontsegP(cons(sK67,sK19),cons(sK67,nil))
    | ~ ssList(cons(sK67,nil)) ),
    inference(subsumption_resolution,[],[f2306,f375]) ).

fof(f2306,plain,
    ( frontsegP(cons(sK67,sK19),cons(sK67,nil))
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f2276,f1842]) ).

fof(f9862,plain,
    ( ~ spl69_78
    | spl69_86
    | ~ spl69_87 ),
    inference(avatar_contradiction_clause,[],[f9861]) ).

fof(f9861,plain,
    ( $false
    | ~ spl69_78
    | spl69_86
    | ~ spl69_87 ),
    inference(subsumption_resolution,[],[f9860,f8736]) ).

fof(f9860,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_86
    | ~ spl69_87 ),
    inference(subsumption_resolution,[],[f9859,f393]) ).

fof(f9859,plain,
    ( ~ ssList(nil)
    | ~ ssList(app(sK19,sK19))
    | spl69_86
    | ~ spl69_87 ),
    inference(subsumption_resolution,[],[f9858,f9840]) ).

fof(f9840,plain,
    ( frontsegP(app(sK19,sK19),nil)
    | ~ spl69_87 ),
    inference(avatar_component_clause,[],[f9838]) ).

fof(f9838,plain,
    ( spl69_87
  <=> frontsegP(app(sK19,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_87])]) ).

fof(f9858,plain,
    ( ~ frontsegP(app(sK19,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(app(sK19,sK19))
    | spl69_86 ),
    inference(resolution,[],[f9836,f581]) ).

fof(f9836,plain,
    ( ~ ssList(sK66(app(sK19,sK19),nil))
    | spl69_86 ),
    inference(avatar_component_clause,[],[f9834]) ).

fof(f9834,plain,
    ( spl69_86
  <=> ssList(sK66(app(sK19,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_86])]) ).

fof(f9854,plain,
    ( ~ spl69_78
    | spl69_87 ),
    inference(avatar_contradiction_clause,[],[f9853]) ).

fof(f9853,plain,
    ( $false
    | ~ spl69_78
    | spl69_87 ),
    inference(subsumption_resolution,[],[f9844,f8736]) ).

fof(f9844,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_87 ),
    inference(resolution,[],[f9839,f452]) ).

fof(f9839,plain,
    ( ~ frontsegP(app(sK19,sK19),nil)
    | spl69_87 ),
    inference(avatar_component_clause,[],[f9838]) ).

fof(f9852,plain,
    ( ~ spl69_3
    | spl69_87 ),
    inference(avatar_contradiction_clause,[],[f9851]) ).

fof(f9851,plain,
    ( $false
    | ~ spl69_3
    | spl69_87 ),
    inference(subsumption_resolution,[],[f9850,f393]) ).

fof(f9850,plain,
    ( ~ ssList(nil)
    | ~ spl69_3
    | spl69_87 ),
    inference(subsumption_resolution,[],[f9849,f375]) ).

fof(f9849,plain,
    ( ~ ssList(sK19)
    | ~ ssList(nil)
    | ~ spl69_3
    | spl69_87 ),
    inference(subsumption_resolution,[],[f9845,f1066]) ).

fof(f1066,plain,
    ( frontsegP(sK19,nil)
    | ~ spl69_3 ),
    inference(superposition,[],[f644,f778]) ).

fof(f9845,plain,
    ( ~ frontsegP(sK19,nil)
    | ~ ssList(sK19)
    | ~ ssList(nil)
    | spl69_87 ),
    inference(duplicate_literal_removal,[],[f9843]) ).

fof(f9843,plain,
    ( ~ frontsegP(sK19,nil)
    | ~ ssList(sK19)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_87 ),
    inference(resolution,[],[f9839,f592]) ).

fof(f9848,plain,
    ( ~ spl69_78
    | spl69_87 ),
    inference(avatar_contradiction_clause,[],[f9847]) ).

fof(f9847,plain,
    ( $false
    | ~ spl69_78
    | spl69_87 ),
    inference(subsumption_resolution,[],[f9846,f393]) ).

fof(f9846,plain,
    ( ~ ssList(nil)
    | ~ spl69_78
    | spl69_87 ),
    inference(subsumption_resolution,[],[f9842,f638]) ).

fof(f9842,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_78
    | spl69_87 ),
    inference(resolution,[],[f9839,f9174]) ).

fof(f9174,plain,
    ( ! [X0] :
        ( frontsegP(app(sK19,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9173,f393]) ).

fof(f9173,plain,
    ( ! [X0] :
        ( frontsegP(app(sK19,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9163,f8736]) ).

fof(f9163,plain,
    ( ! [X0] :
        ( frontsegP(app(sK19,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_78 ),
    inference(superposition,[],[f592,f8753]) ).

fof(f9841,plain,
    ( ~ spl69_86
    | spl69_87
    | ~ spl69_78 ),
    inference(avatar_split_clause,[],[f9473,f8735,f9838,f9834]) ).

fof(f9473,plain,
    ( frontsegP(app(sK19,sK19),nil)
    | ~ ssList(sK66(app(sK19,sK19),nil))
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9460,f393]) ).

fof(f9460,plain,
    ( frontsegP(app(sK19,sK19),nil)
    | ~ ssList(sK66(app(sK19,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_78 ),
    inference(superposition,[],[f2276,f8773]) ).

fof(f9792,plain,
    ( ~ spl69_78
    | spl69_84
    | ~ spl69_85 ),
    inference(avatar_contradiction_clause,[],[f9791]) ).

fof(f9791,plain,
    ( $false
    | ~ spl69_78
    | spl69_84
    | ~ spl69_85 ),
    inference(subsumption_resolution,[],[f9790,f8736]) ).

fof(f9790,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_84
    | ~ spl69_85 ),
    inference(subsumption_resolution,[],[f9789,f393]) ).

fof(f9789,plain,
    ( ~ ssList(nil)
    | ~ ssList(app(sK19,sK19))
    | spl69_84
    | ~ spl69_85 ),
    inference(subsumption_resolution,[],[f9788,f9747]) ).

fof(f9747,plain,
    ( rearsegP(app(sK19,sK19),nil)
    | ~ spl69_85 ),
    inference(avatar_component_clause,[],[f9745]) ).

fof(f9745,plain,
    ( spl69_85
  <=> rearsegP(app(sK19,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_85])]) ).

fof(f9788,plain,
    ( ~ rearsegP(app(sK19,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(app(sK19,sK19))
    | spl69_84 ),
    inference(resolution,[],[f9743,f574]) ).

fof(f9743,plain,
    ( ~ ssList(sK63(app(sK19,sK19),nil))
    | spl69_84 ),
    inference(avatar_component_clause,[],[f9741]) ).

fof(f9741,plain,
    ( spl69_84
  <=> ssList(sK63(app(sK19,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_84])]) ).

fof(f9761,plain,
    ( ~ spl69_43
    | spl69_85 ),
    inference(avatar_contradiction_clause,[],[f9760]) ).

fof(f9760,plain,
    ( $false
    | ~ spl69_43
    | spl69_85 ),
    inference(subsumption_resolution,[],[f9759,f393]) ).

fof(f9759,plain,
    ( ~ ssList(nil)
    | ~ spl69_43
    | spl69_85 ),
    inference(subsumption_resolution,[],[f9758,f375]) ).

fof(f9758,plain,
    ( ~ ssList(sK19)
    | ~ ssList(nil)
    | ~ spl69_43
    | spl69_85 ),
    inference(subsumption_resolution,[],[f9752,f3564]) ).

fof(f3564,plain,
    ( rearsegP(sK19,nil)
    | ~ spl69_43 ),
    inference(avatar_component_clause,[],[f3562]) ).

fof(f3562,plain,
    ( spl69_43
  <=> rearsegP(sK19,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_43])]) ).

fof(f9752,plain,
    ( ~ rearsegP(sK19,nil)
    | ~ ssList(sK19)
    | ~ ssList(nil)
    | spl69_85 ),
    inference(duplicate_literal_removal,[],[f9751]) ).

fof(f9751,plain,
    ( ~ rearsegP(sK19,nil)
    | ~ ssList(sK19)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_85 ),
    inference(resolution,[],[f9746,f591]) ).

fof(f9746,plain,
    ( ~ rearsegP(app(sK19,sK19),nil)
    | spl69_85 ),
    inference(avatar_component_clause,[],[f9745]) ).

fof(f9757,plain,
    ( ~ spl69_78
    | spl69_85 ),
    inference(avatar_contradiction_clause,[],[f9756]) ).

fof(f9756,plain,
    ( $false
    | ~ spl69_78
    | spl69_85 ),
    inference(subsumption_resolution,[],[f9755,f393]) ).

fof(f9755,plain,
    ( ~ ssList(nil)
    | ~ spl69_78
    | spl69_85 ),
    inference(subsumption_resolution,[],[f9750,f636]) ).

fof(f9750,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_78
    | spl69_85 ),
    inference(resolution,[],[f9746,f9126]) ).

fof(f9126,plain,
    ( ! [X0] :
        ( rearsegP(app(sK19,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9125,f393]) ).

fof(f9125,plain,
    ( ! [X0] :
        ( rearsegP(app(sK19,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9111,f8736]) ).

fof(f9111,plain,
    ( ! [X0] :
        ( rearsegP(app(sK19,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_78 ),
    inference(superposition,[],[f591,f8752]) ).

fof(f9754,plain,
    ( ~ spl69_78
    | spl69_85 ),
    inference(avatar_contradiction_clause,[],[f9753]) ).

fof(f9753,plain,
    ( $false
    | ~ spl69_78
    | spl69_85 ),
    inference(subsumption_resolution,[],[f9749,f8736]) ).

fof(f9749,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_85 ),
    inference(resolution,[],[f9746,f449]) ).

fof(f9748,plain,
    ( ~ spl69_84
    | spl69_85
    | ~ spl69_78 ),
    inference(avatar_split_clause,[],[f9416,f8735,f9745,f9741]) ).

fof(f9416,plain,
    ( rearsegP(app(sK19,sK19),nil)
    | ~ ssList(sK63(app(sK19,sK19),nil))
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9402,f393]) ).

fof(f9402,plain,
    ( rearsegP(app(sK19,sK19),nil)
    | ~ ssList(sK63(app(sK19,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_78 ),
    inference(superposition,[],[f2136,f8771]) ).

fof(f9375,plain,
    ( ~ spl69_82
    | spl69_83
    | ~ spl69_78 ),
    inference(avatar_split_clause,[],[f9152,f8735,f9372,f9368]) ).

fof(f9368,plain,
    ( spl69_82
  <=> segmentP(sK19,app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_82])]) ).

fof(f9372,plain,
    ( spl69_83
  <=> sK19 = app(sK19,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_83])]) ).

fof(f9152,plain,
    ( sK19 = app(sK19,sK19)
    | ~ segmentP(sK19,app(sK19,sK19))
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9151,f375]) ).

fof(f9151,plain,
    ( sK19 = app(sK19,sK19)
    | ~ segmentP(sK19,app(sK19,sK19))
    | ~ ssList(sK19)
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9146,f8736]) ).

fof(f9146,plain,
    ( sK19 = app(sK19,sK19)
    | ~ segmentP(sK19,app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ ssList(sK19)
    | ~ spl69_78 ),
    inference(resolution,[],[f9143,f570]) ).

fof(f9342,plain,
    ( ~ spl69_80
    | spl69_81
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_78 ),
    inference(avatar_split_clause,[],[f9330,f8735,f1479,f1440,f1354,f840,f776,f9339,f9335]) ).

fof(f9335,plain,
    ( spl69_80
  <=> segmentP(nil,app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_80])]) ).

fof(f9330,plain,
    ( segmentP(tl(sK19),sK19)
    | ~ segmentP(nil,app(sK19,sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9329,f8736]) ).

fof(f9329,plain,
    ( segmentP(tl(sK19),sK19)
    | ~ segmentP(nil,app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f9307,f1632]) ).

fof(f9307,plain,
    ( segmentP(tl(sK19),sK19)
    | ~ ssList(tl(sK19))
    | ~ segmentP(nil,app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_78 ),
    inference(resolution,[],[f9150,f7434]) ).

fof(f8875,plain,
    ( ~ spl69_3
    | spl69_5
    | ~ spl69_76 ),
    inference(avatar_contradiction_clause,[],[f8874]) ).

fof(f8874,plain,
    ( $false
    | ~ spl69_3
    | spl69_5
    | ~ spl69_76 ),
    inference(subsumption_resolution,[],[f8873,f375]) ).

fof(f8873,plain,
    ( ~ ssList(sK19)
    | ~ spl69_3
    | spl69_5
    | ~ spl69_76 ),
    inference(subsumption_resolution,[],[f8824,f2059]) ).

fof(f2059,plain,
    ( ~ frontsegP(nil,sK19)
    | ~ spl69_3
    | spl69_5 ),
    inference(forward_demodulation,[],[f2058,f778]) ).

fof(f2058,plain,
    ( ~ frontsegP(sK18,sK19)
    | ~ spl69_3
    | spl69_5 ),
    inference(subsumption_resolution,[],[f2057,f841]) ).

fof(f2057,plain,
    ( nil = sK19
    | ~ frontsegP(sK18,sK19)
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f2056,f778]) ).

fof(f2056,plain,
    ( sK18 = sK19
    | ~ frontsegP(sK18,sK19) ),
    inference(subsumption_resolution,[],[f2055,f374]) ).

fof(f2055,plain,
    ( sK18 = sK19
    | ~ frontsegP(sK18,sK19)
    | ~ ssList(sK18) ),
    inference(subsumption_resolution,[],[f2047,f375]) ).

fof(f2047,plain,
    ( sK18 = sK19
    | ~ frontsegP(sK18,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK18) ),
    inference(resolution,[],[f571,f644]) ).

fof(f8824,plain,
    ( frontsegP(nil,sK19)
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(duplicate_literal_removal,[],[f8823]) ).

fof(f8823,plain,
    ( frontsegP(nil,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(superposition,[],[f2276,f8586]) ).

fof(f8586,plain,
    ( nil = app(sK19,sK19)
    | ~ spl69_76 ),
    inference(avatar_component_clause,[],[f8584]) ).

fof(f8872,plain,
    ( spl69_5
    | ~ spl69_76 ),
    inference(avatar_contradiction_clause,[],[f8871]) ).

fof(f8871,plain,
    ( $false
    | spl69_5
    | ~ spl69_76 ),
    inference(subsumption_resolution,[],[f8870,f375]) ).

fof(f8870,plain,
    ( ~ ssList(sK19)
    | spl69_5
    | ~ spl69_76 ),
    inference(subsumption_resolution,[],[f8825,f3037]) ).

fof(f8825,plain,
    ( rearsegP(nil,sK19)
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(duplicate_literal_removal,[],[f8822]) ).

fof(f8822,plain,
    ( rearsegP(nil,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(superposition,[],[f2136,f8586]) ).

fof(f8860,plain,
    ( spl69_5
    | ~ spl69_76 ),
    inference(avatar_contradiction_clause,[],[f8859]) ).

fof(f8859,plain,
    ( $false
    | spl69_5
    | ~ spl69_76 ),
    inference(subsumption_resolution,[],[f8858,f375]) ).

fof(f8858,plain,
    ( ~ ssList(sK19)
    | spl69_5
    | ~ spl69_76 ),
    inference(subsumption_resolution,[],[f8835,f841]) ).

fof(f8835,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(trivial_inequality_removal,[],[f8834]) ).

fof(f8834,plain,
    ( nil != nil
    | nil = sK19
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(duplicate_literal_removal,[],[f8813]) ).

fof(f8813,plain,
    ( nil != nil
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(superposition,[],[f585,f8586]) ).

fof(f8857,plain,
    ( spl69_5
    | ~ spl69_76 ),
    inference(avatar_contradiction_clause,[],[f8856]) ).

fof(f8856,plain,
    ( $false
    | spl69_5
    | ~ spl69_76 ),
    inference(subsumption_resolution,[],[f8855,f375]) ).

fof(f8855,plain,
    ( ~ ssList(sK19)
    | spl69_5
    | ~ spl69_76 ),
    inference(subsumption_resolution,[],[f8837,f841]) ).

fof(f8837,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(trivial_inequality_removal,[],[f8836]) ).

fof(f8836,plain,
    ( nil != nil
    | nil = sK19
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(duplicate_literal_removal,[],[f8812]) ).

fof(f8812,plain,
    ( nil != nil
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(superposition,[],[f584,f8586]) ).

fof(f8850,plain,
    ( ~ spl69_3
    | spl69_5
    | ~ spl69_76
    | ~ spl69_78 ),
    inference(avatar_contradiction_clause,[],[f8849]) ).

fof(f8849,plain,
    ( $false
    | ~ spl69_3
    | spl69_5
    | ~ spl69_76
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f8848,f375]) ).

fof(f8848,plain,
    ( ~ ssList(sK19)
    | ~ spl69_3
    | spl69_5
    | ~ spl69_76
    | ~ spl69_78 ),
    inference(subsumption_resolution,[],[f8847,f8736]) ).

fof(f8847,plain,
    ( ~ ssList(app(sK19,sK19))
    | ~ ssList(sK19)
    | ~ spl69_3
    | spl69_5
    | ~ spl69_76 ),
    inference(subsumption_resolution,[],[f8806,f7698]) ).

fof(f8806,plain,
    ( segmentP(nil,sK19)
    | ~ ssList(app(sK19,sK19))
    | ~ ssList(sK19)
    | ~ spl69_76 ),
    inference(superposition,[],[f7309,f8586]) ).

fof(f8843,plain,
    ( ~ spl69_76
    | spl69_77 ),
    inference(avatar_contradiction_clause,[],[f8842]) ).

fof(f8842,plain,
    ( $false
    | ~ spl69_76
    | spl69_77 ),
    inference(subsumption_resolution,[],[f8800,f608]) ).

fof(f8800,plain,
    ( ~ sP2(nil,hd(sK19))
    | ~ spl69_76
    | spl69_77 ),
    inference(superposition,[],[f8590,f8586]) ).

fof(f8590,plain,
    ( ~ sP2(app(sK19,sK19),hd(sK19))
    | spl69_77 ),
    inference(avatar_component_clause,[],[f8588]) ).

fof(f8588,plain,
    ( spl69_77
  <=> sP2(app(sK19,sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_77])]) ).

fof(f8746,plain,
    spl69_78,
    inference(avatar_contradiction_clause,[],[f8745]) ).

fof(f8745,plain,
    ( $false
    | spl69_78 ),
    inference(subsumption_resolution,[],[f8744,f375]) ).

fof(f8744,plain,
    ( ~ ssList(sK19)
    | spl69_78 ),
    inference(duplicate_literal_removal,[],[f8743]) ).

fof(f8743,plain,
    ( ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_78 ),
    inference(resolution,[],[f8737,f565]) ).

fof(f8737,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_78 ),
    inference(avatar_component_clause,[],[f8735]) ).

fof(f8742,plain,
    ( ~ spl69_78
    | spl69_79
    | spl69_5
    | spl69_76 ),
    inference(avatar_split_clause,[],[f8733,f8584,f840,f8739,f8735]) ).

fof(f8591,plain,
    ( spl69_76
    | ~ spl69_77
    | spl69_5
    | ~ spl69_10 ),
    inference(avatar_split_clause,[],[f8575,f1440,f840,f8588,f8584]) ).

fof(f8575,plain,
    ( ~ sP2(app(sK19,sK19),hd(sK19))
    | nil = app(sK19,sK19)
    | spl69_5
    | ~ spl69_10 ),
    inference(subsumption_resolution,[],[f8574,f1441]) ).

fof(f8574,plain,
    ( ~ ssItem(hd(sK19))
    | ~ sP2(app(sK19,sK19),hd(sK19))
    | nil = app(sK19,sK19)
    | spl69_5 ),
    inference(forward_demodulation,[],[f8473,f5692]) ).

fof(f8473,plain,
    ( ~ sP2(app(sK19,sK19),hd(sK19))
    | nil = app(sK19,sK19)
    | ~ ssItem(hd(app(sK19,sK19)))
    | spl69_5 ),
    inference(superposition,[],[f794,f5692]) ).

fof(f7795,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_18
    | spl69_75 ),
    inference(avatar_contradiction_clause,[],[f7794]) ).

fof(f7794,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_18
    | spl69_75 ),
    inference(subsumption_resolution,[],[f7793,f393]) ).

fof(f7793,plain,
    ( ~ ssList(nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_18
    | spl69_75 ),
    inference(subsumption_resolution,[],[f7792,f1632]) ).

fof(f7792,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssList(nil)
    | spl69_18
    | spl69_75 ),
    inference(subsumption_resolution,[],[f7790,f1751]) ).

fof(f7790,plain,
    ( nil = tl(sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(nil)
    | spl69_75 ),
    inference(resolution,[],[f7778,f573]) ).

fof(f7778,plain,
    ( ~ neq(nil,tl(sK19))
    | spl69_75 ),
    inference(avatar_component_clause,[],[f7776]) ).

fof(f7776,plain,
    ( spl69_75
  <=> neq(nil,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_75])]) ).

fof(f7779,plain,
    ( ~ spl69_73
    | ~ spl69_74
    | ~ spl69_75
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(avatar_split_clause,[],[f7466,f1479,f1440,f1354,f840,f776,f7776,f7772,f7768]) ).

fof(f7768,plain,
    ( spl69_73
  <=> strictorderedP(tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_73])]) ).

fof(f7466,plain,
    ( ~ neq(nil,tl(sK19))
    | ~ frontsegP(sK19,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f7465,f778]) ).

fof(f7465,plain,
    ( ~ frontsegP(sK19,tl(sK19))
    | ~ neq(sK18,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f7464,f637]) ).

fof(f7464,plain,
    ( ~ segmentP(nil,nil)
    | ~ frontsegP(sK19,tl(sK19))
    | ~ neq(sK18,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f7463,f778]) ).

fof(f7463,plain,
    ( ~ segmentP(nil,sK18)
    | ~ frontsegP(sK19,tl(sK19))
    | ~ neq(sK18,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f7462,f1632]) ).

fof(f7462,plain,
    ( ~ segmentP(nil,sK18)
    | ~ frontsegP(sK19,tl(sK19))
    | ~ neq(sK18,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | ~ ssList(tl(sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f7455,f374]) ).

fof(f7455,plain,
    ( ~ segmentP(nil,sK18)
    | ~ ssList(sK18)
    | ~ frontsegP(sK19,tl(sK19))
    | ~ neq(sK18,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | ~ ssList(tl(sK19))
    | ~ spl69_3
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(resolution,[],[f7434,f747]) ).

fof(f6545,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_70 ),
    inference(avatar_contradiction_clause,[],[f6544]) ).

fof(f6544,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_70 ),
    inference(subsumption_resolution,[],[f6543,f1441]) ).

fof(f6543,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_70 ),
    inference(subsumption_resolution,[],[f6542,f1632]) ).

fof(f6542,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssItem(hd(sK19))
    | spl69_70 ),
    inference(resolution,[],[f6524,f437]) ).

fof(f6524,plain,
    ( ~ sP1(hd(sK19),tl(sK19))
    | spl69_70 ),
    inference(avatar_component_clause,[],[f6522]) ).

fof(f6522,plain,
    ( spl69_70
  <=> sP1(hd(sK19),tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_70])]) ).

fof(f6533,plain,
    ( ~ spl69_70
    | spl69_71
    | ~ spl69_72
    | spl69_5 ),
    inference(avatar_split_clause,[],[f1428,f840,f6530,f6526,f6522]) ).

fof(f6526,plain,
    ( spl69_71
  <=> sP0(tl(sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_71])]) ).

fof(f6530,plain,
    ( spl69_72
  <=> totalorderedP(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_72])]) ).

fof(f5589,plain,
    ( ~ spl69_23
    | spl69_68
    | ~ spl69_69 ),
    inference(avatar_contradiction_clause,[],[f5588]) ).

fof(f5588,plain,
    ( $false
    | ~ spl69_23
    | spl69_68
    | ~ spl69_69 ),
    inference(subsumption_resolution,[],[f5587,f1908]) ).

fof(f5587,plain,
    ( ~ ssList(cons(sK68,sK19))
    | spl69_68
    | ~ spl69_69 ),
    inference(subsumption_resolution,[],[f5586,f393]) ).

fof(f5586,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK68,sK19))
    | spl69_68
    | ~ spl69_69 ),
    inference(subsumption_resolution,[],[f5585,f5573]) ).

fof(f5573,plain,
    ( frontsegP(cons(sK68,sK19),nil)
    | ~ spl69_69 ),
    inference(avatar_component_clause,[],[f5571]) ).

fof(f5571,plain,
    ( spl69_69
  <=> frontsegP(cons(sK68,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_69])]) ).

fof(f5585,plain,
    ( ~ frontsegP(cons(sK68,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK68,sK19))
    | spl69_68 ),
    inference(resolution,[],[f5569,f581]) ).

fof(f5569,plain,
    ( ~ ssList(sK66(cons(sK68,sK19),nil))
    | spl69_68 ),
    inference(avatar_component_clause,[],[f5567]) ).

fof(f5567,plain,
    ( spl69_68
  <=> ssList(sK66(cons(sK68,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_68])]) ).

fof(f5581,plain,
    ( ~ spl69_23
    | spl69_69 ),
    inference(avatar_contradiction_clause,[],[f5580]) ).

fof(f5580,plain,
    ( $false
    | ~ spl69_23
    | spl69_69 ),
    inference(subsumption_resolution,[],[f5576,f1908]) ).

fof(f5576,plain,
    ( ~ ssList(cons(sK68,sK19))
    | spl69_69 ),
    inference(resolution,[],[f5572,f452]) ).

fof(f5572,plain,
    ( ~ frontsegP(cons(sK68,sK19),nil)
    | spl69_69 ),
    inference(avatar_component_clause,[],[f5571]) ).

fof(f5579,plain,
    ( ~ spl69_23
    | spl69_69 ),
    inference(avatar_contradiction_clause,[],[f5578]) ).

fof(f5578,plain,
    ( $false
    | ~ spl69_23
    | spl69_69 ),
    inference(subsumption_resolution,[],[f5577,f393]) ).

fof(f5577,plain,
    ( ~ ssList(nil)
    | ~ spl69_23
    | spl69_69 ),
    inference(subsumption_resolution,[],[f5575,f638]) ).

fof(f5575,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_23
    | spl69_69 ),
    inference(resolution,[],[f5572,f2865]) ).

fof(f2865,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f2864,f393]) ).

fof(f2864,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f2830,f1908]) ).

fof(f2830,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(cons(sK68,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_23 ),
    inference(superposition,[],[f592,f1933]) ).

fof(f1933,plain,
    ( cons(sK68,sK19) = app(nil,cons(sK68,sK19))
    | ~ spl69_23 ),
    inference(resolution,[],[f1908,f456]) ).

fof(f5574,plain,
    ( ~ spl69_68
    | spl69_69
    | ~ spl69_23 ),
    inference(avatar_split_clause,[],[f5427,f1906,f5571,f5567]) ).

fof(f5427,plain,
    ( frontsegP(cons(sK68,sK19),nil)
    | ~ ssList(sK66(cons(sK68,sK19),nil))
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f5417,f393]) ).

fof(f5417,plain,
    ( frontsegP(cons(sK68,sK19),nil)
    | ~ ssList(sK66(cons(sK68,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_23 ),
    inference(superposition,[],[f2276,f5186]) ).

fof(f5186,plain,
    ( cons(sK68,sK19) = app(nil,sK66(cons(sK68,sK19),nil))
    | ~ spl69_23 ),
    inference(resolution,[],[f2625,f1908]) ).

fof(f5543,plain,
    ( ~ spl69_22
    | spl69_66
    | ~ spl69_67 ),
    inference(avatar_contradiction_clause,[],[f5542]) ).

fof(f5542,plain,
    ( $false
    | ~ spl69_22
    | spl69_66
    | ~ spl69_67 ),
    inference(subsumption_resolution,[],[f5541,f1903]) ).

fof(f5541,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_66
    | ~ spl69_67 ),
    inference(subsumption_resolution,[],[f5540,f393]) ).

fof(f5540,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK68,nil))
    | spl69_66
    | ~ spl69_67 ),
    inference(subsumption_resolution,[],[f5539,f5527]) ).

fof(f5527,plain,
    ( frontsegP(cons(sK68,nil),nil)
    | ~ spl69_67 ),
    inference(avatar_component_clause,[],[f5525]) ).

fof(f5525,plain,
    ( spl69_67
  <=> frontsegP(cons(sK68,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_67])]) ).

fof(f5539,plain,
    ( ~ frontsegP(cons(sK68,nil),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK68,nil))
    | spl69_66 ),
    inference(resolution,[],[f5523,f581]) ).

fof(f5523,plain,
    ( ~ ssList(sK66(cons(sK68,nil),nil))
    | spl69_66 ),
    inference(avatar_component_clause,[],[f5521]) ).

fof(f5521,plain,
    ( spl69_66
  <=> ssList(sK66(cons(sK68,nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_66])]) ).

fof(f5535,plain,
    ( ~ spl69_22
    | spl69_67 ),
    inference(avatar_contradiction_clause,[],[f5534]) ).

fof(f5534,plain,
    ( $false
    | ~ spl69_22
    | spl69_67 ),
    inference(subsumption_resolution,[],[f5530,f1903]) ).

fof(f5530,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_67 ),
    inference(resolution,[],[f5526,f452]) ).

fof(f5526,plain,
    ( ~ frontsegP(cons(sK68,nil),nil)
    | spl69_67 ),
    inference(avatar_component_clause,[],[f5525]) ).

fof(f5533,plain,
    ( ~ spl69_22
    | spl69_67 ),
    inference(avatar_contradiction_clause,[],[f5532]) ).

fof(f5532,plain,
    ( $false
    | ~ spl69_22
    | spl69_67 ),
    inference(subsumption_resolution,[],[f5531,f393]) ).

fof(f5531,plain,
    ( ~ ssList(nil)
    | ~ spl69_22
    | spl69_67 ),
    inference(subsumption_resolution,[],[f5529,f638]) ).

fof(f5529,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_22
    | spl69_67 ),
    inference(resolution,[],[f5526,f2863]) ).

fof(f2863,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2862,f393]) ).

fof(f2862,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2829,f1903]) ).

fof(f2829,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(cons(sK68,nil))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_22 ),
    inference(superposition,[],[f592,f1921]) ).

fof(f1921,plain,
    ( cons(sK68,nil) = app(nil,cons(sK68,nil))
    | ~ spl69_22 ),
    inference(resolution,[],[f1903,f456]) ).

fof(f5528,plain,
    ( ~ spl69_66
    | spl69_67
    | ~ spl69_22 ),
    inference(avatar_split_clause,[],[f5401,f1902,f5525,f5521]) ).

fof(f5401,plain,
    ( frontsegP(cons(sK68,nil),nil)
    | ~ ssList(sK66(cons(sK68,nil),nil))
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f5390,f393]) ).

fof(f5390,plain,
    ( frontsegP(cons(sK68,nil),nil)
    | ~ ssList(sK66(cons(sK68,nil),nil))
    | ~ ssList(nil)
    | ~ spl69_22 ),
    inference(superposition,[],[f2276,f5185]) ).

fof(f5185,plain,
    ( cons(sK68,nil) = app(nil,sK66(cons(sK68,nil),nil))
    | ~ spl69_22 ),
    inference(resolution,[],[f2625,f1903]) ).

fof(f5498,plain,
    ( ~ spl69_21
    | spl69_64
    | ~ spl69_65 ),
    inference(avatar_contradiction_clause,[],[f5497]) ).

fof(f5497,plain,
    ( $false
    | ~ spl69_21
    | spl69_64
    | ~ spl69_65 ),
    inference(subsumption_resolution,[],[f5496,f1859]) ).

fof(f5496,plain,
    ( ~ ssList(cons(sK67,sK19))
    | spl69_64
    | ~ spl69_65 ),
    inference(subsumption_resolution,[],[f5495,f393]) ).

fof(f5495,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK67,sK19))
    | spl69_64
    | ~ spl69_65 ),
    inference(subsumption_resolution,[],[f5494,f5482]) ).

fof(f5482,plain,
    ( frontsegP(cons(sK67,sK19),nil)
    | ~ spl69_65 ),
    inference(avatar_component_clause,[],[f5480]) ).

fof(f5480,plain,
    ( spl69_65
  <=> frontsegP(cons(sK67,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_65])]) ).

fof(f5494,plain,
    ( ~ frontsegP(cons(sK67,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK67,sK19))
    | spl69_64 ),
    inference(resolution,[],[f5478,f581]) ).

fof(f5478,plain,
    ( ~ ssList(sK66(cons(sK67,sK19),nil))
    | spl69_64 ),
    inference(avatar_component_clause,[],[f5476]) ).

fof(f5476,plain,
    ( spl69_64
  <=> ssList(sK66(cons(sK67,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_64])]) ).

fof(f5490,plain,
    ( ~ spl69_21
    | spl69_65 ),
    inference(avatar_contradiction_clause,[],[f5489]) ).

fof(f5489,plain,
    ( $false
    | ~ spl69_21
    | spl69_65 ),
    inference(subsumption_resolution,[],[f5485,f1859]) ).

fof(f5485,plain,
    ( ~ ssList(cons(sK67,sK19))
    | spl69_65 ),
    inference(resolution,[],[f5481,f452]) ).

fof(f5481,plain,
    ( ~ frontsegP(cons(sK67,sK19),nil)
    | spl69_65 ),
    inference(avatar_component_clause,[],[f5480]) ).

fof(f5488,plain,
    ( ~ spl69_21
    | spl69_65 ),
    inference(avatar_contradiction_clause,[],[f5487]) ).

fof(f5487,plain,
    ( $false
    | ~ spl69_21
    | spl69_65 ),
    inference(subsumption_resolution,[],[f5486,f393]) ).

fof(f5486,plain,
    ( ~ ssList(nil)
    | ~ spl69_21
    | spl69_65 ),
    inference(subsumption_resolution,[],[f5484,f638]) ).

fof(f5484,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_21
    | spl69_65 ),
    inference(resolution,[],[f5481,f2861]) ).

fof(f2861,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f2860,f393]) ).

fof(f2860,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f2828,f1859]) ).

fof(f2828,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(cons(sK67,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_21 ),
    inference(superposition,[],[f592,f1878]) ).

fof(f1878,plain,
    ( cons(sK67,sK19) = app(nil,cons(sK67,sK19))
    | ~ spl69_21 ),
    inference(resolution,[],[f1859,f456]) ).

fof(f5483,plain,
    ( ~ spl69_64
    | spl69_65
    | ~ spl69_21 ),
    inference(avatar_split_clause,[],[f5374,f1857,f5480,f5476]) ).

fof(f5374,plain,
    ( frontsegP(cons(sK67,sK19),nil)
    | ~ ssList(sK66(cons(sK67,sK19),nil))
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f5364,f393]) ).

fof(f5364,plain,
    ( frontsegP(cons(sK67,sK19),nil)
    | ~ ssList(sK66(cons(sK67,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_21 ),
    inference(superposition,[],[f2276,f5184]) ).

fof(f5184,plain,
    ( cons(sK67,sK19) = app(nil,sK66(cons(sK67,sK19),nil))
    | ~ spl69_21 ),
    inference(resolution,[],[f2625,f1859]) ).

fof(f5453,plain,
    ( ~ spl69_20
    | spl69_62
    | ~ spl69_63 ),
    inference(avatar_contradiction_clause,[],[f5452]) ).

fof(f5452,plain,
    ( $false
    | ~ spl69_20
    | spl69_62
    | ~ spl69_63 ),
    inference(subsumption_resolution,[],[f5451,f1854]) ).

fof(f5451,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_62
    | ~ spl69_63 ),
    inference(subsumption_resolution,[],[f5450,f393]) ).

fof(f5450,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK67,nil))
    | spl69_62
    | ~ spl69_63 ),
    inference(subsumption_resolution,[],[f5449,f5437]) ).

fof(f5437,plain,
    ( frontsegP(cons(sK67,nil),nil)
    | ~ spl69_63 ),
    inference(avatar_component_clause,[],[f5435]) ).

fof(f5435,plain,
    ( spl69_63
  <=> frontsegP(cons(sK67,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_63])]) ).

fof(f5449,plain,
    ( ~ frontsegP(cons(sK67,nil),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK67,nil))
    | spl69_62 ),
    inference(resolution,[],[f5433,f581]) ).

fof(f5433,plain,
    ( ~ ssList(sK66(cons(sK67,nil),nil))
    | spl69_62 ),
    inference(avatar_component_clause,[],[f5431]) ).

fof(f5431,plain,
    ( spl69_62
  <=> ssList(sK66(cons(sK67,nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_62])]) ).

fof(f5445,plain,
    ( ~ spl69_20
    | spl69_63 ),
    inference(avatar_contradiction_clause,[],[f5444]) ).

fof(f5444,plain,
    ( $false
    | ~ spl69_20
    | spl69_63 ),
    inference(subsumption_resolution,[],[f5440,f1854]) ).

fof(f5440,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_63 ),
    inference(resolution,[],[f5436,f452]) ).

fof(f5436,plain,
    ( ~ frontsegP(cons(sK67,nil),nil)
    | spl69_63 ),
    inference(avatar_component_clause,[],[f5435]) ).

fof(f5443,plain,
    ( ~ spl69_20
    | spl69_63 ),
    inference(avatar_contradiction_clause,[],[f5442]) ).

fof(f5442,plain,
    ( $false
    | ~ spl69_20
    | spl69_63 ),
    inference(subsumption_resolution,[],[f5441,f393]) ).

fof(f5441,plain,
    ( ~ ssList(nil)
    | ~ spl69_20
    | spl69_63 ),
    inference(subsumption_resolution,[],[f5439,f638]) ).

fof(f5439,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_20
    | spl69_63 ),
    inference(resolution,[],[f5436,f2859]) ).

fof(f2859,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2858,f393]) ).

fof(f2858,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2827,f1854]) ).

fof(f2827,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(cons(sK67,nil))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_20 ),
    inference(superposition,[],[f592,f1866]) ).

fof(f1866,plain,
    ( cons(sK67,nil) = app(nil,cons(sK67,nil))
    | ~ spl69_20 ),
    inference(resolution,[],[f1854,f456]) ).

fof(f5438,plain,
    ( ~ spl69_62
    | spl69_63
    | ~ spl69_20 ),
    inference(avatar_split_clause,[],[f5348,f1853,f5435,f5431]) ).

fof(f5348,plain,
    ( frontsegP(cons(sK67,nil),nil)
    | ~ ssList(sK66(cons(sK67,nil),nil))
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f5337,f393]) ).

fof(f5337,plain,
    ( frontsegP(cons(sK67,nil),nil)
    | ~ ssList(sK66(cons(sK67,nil),nil))
    | ~ ssList(nil)
    | ~ spl69_20 ),
    inference(superposition,[],[f2276,f5183]) ).

fof(f5183,plain,
    ( cons(sK67,nil) = app(nil,sK66(cons(sK67,nil),nil))
    | ~ spl69_20 ),
    inference(resolution,[],[f2625,f1854]) ).

fof(f5300,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_60
    | ~ spl69_61 ),
    inference(avatar_contradiction_clause,[],[f5299]) ).

fof(f5299,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_60
    | ~ spl69_61 ),
    inference(subsumption_resolution,[],[f5298,f1632]) ).

fof(f5298,plain,
    ( ~ ssList(tl(sK19))
    | spl69_60
    | ~ spl69_61 ),
    inference(subsumption_resolution,[],[f5297,f393]) ).

fof(f5297,plain,
    ( ~ ssList(nil)
    | ~ ssList(tl(sK19))
    | spl69_60
    | ~ spl69_61 ),
    inference(subsumption_resolution,[],[f5296,f5284]) ).

fof(f5284,plain,
    ( frontsegP(tl(sK19),nil)
    | ~ spl69_61 ),
    inference(avatar_component_clause,[],[f5282]) ).

fof(f5282,plain,
    ( spl69_61
  <=> frontsegP(tl(sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_61])]) ).

fof(f5296,plain,
    ( ~ frontsegP(tl(sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(tl(sK19))
    | spl69_60 ),
    inference(resolution,[],[f5280,f581]) ).

fof(f5280,plain,
    ( ~ ssList(sK66(tl(sK19),nil))
    | spl69_60 ),
    inference(avatar_component_clause,[],[f5278]) ).

fof(f5278,plain,
    ( spl69_60
  <=> ssList(sK66(tl(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_60])]) ).

fof(f5292,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_61 ),
    inference(avatar_contradiction_clause,[],[f5291]) ).

fof(f5291,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_61 ),
    inference(subsumption_resolution,[],[f5287,f1632]) ).

fof(f5287,plain,
    ( ~ ssList(tl(sK19))
    | spl69_61 ),
    inference(resolution,[],[f5283,f452]) ).

fof(f5283,plain,
    ( ~ frontsegP(tl(sK19),nil)
    | spl69_61 ),
    inference(avatar_component_clause,[],[f5282]) ).

fof(f5290,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_61 ),
    inference(avatar_contradiction_clause,[],[f5289]) ).

fof(f5289,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_61 ),
    inference(subsumption_resolution,[],[f5288,f393]) ).

fof(f5288,plain,
    ( ~ ssList(nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_61 ),
    inference(subsumption_resolution,[],[f5286,f638]) ).

fof(f5286,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_61 ),
    inference(resolution,[],[f5283,f2884]) ).

fof(f2884,plain,
    ( ! [X0] :
        ( frontsegP(tl(sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f2883,f1628]) ).

fof(f2883,plain,
    ( ! [X0] :
        ( frontsegP(sK22(sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f2882,f393]) ).

fof(f2882,plain,
    ( ! [X0] :
        ( frontsegP(sK22(sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f2850,f1480]) ).

fof(f2850,plain,
    ( ! [X0] :
        ( frontsegP(sK22(sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(sK22(sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_12 ),
    inference(superposition,[],[f592,f1492]) ).

fof(f5285,plain,
    ( ~ spl69_60
    | spl69_61
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(avatar_split_clause,[],[f5276,f1479,f1440,f1354,f840,f5282,f5278]) ).

fof(f5276,plain,
    ( frontsegP(tl(sK19),nil)
    | ~ ssList(sK66(tl(sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f5266,f393]) ).

fof(f5266,plain,
    ( frontsegP(tl(sK19),nil)
    | ~ ssList(sK66(tl(sK19),nil))
    | ~ ssList(nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(superposition,[],[f2276,f5239]) ).

fof(f5239,plain,
    ( tl(sK19) = app(nil,sK66(tl(sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f5196,f1628]) ).

fof(f5196,plain,
    ( sK22(sK19) = app(nil,sK66(sK22(sK19),nil))
    | ~ spl69_12 ),
    inference(resolution,[],[f2625,f1480]) ).

fof(f5066,plain,
    ( ~ spl69_23
    | spl69_58
    | ~ spl69_59 ),
    inference(avatar_contradiction_clause,[],[f5065]) ).

fof(f5065,plain,
    ( $false
    | ~ spl69_23
    | spl69_58
    | ~ spl69_59 ),
    inference(subsumption_resolution,[],[f5064,f1908]) ).

fof(f5064,plain,
    ( ~ ssList(cons(sK68,sK19))
    | spl69_58
    | ~ spl69_59 ),
    inference(subsumption_resolution,[],[f5063,f393]) ).

fof(f5063,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK68,sK19))
    | spl69_58
    | ~ spl69_59 ),
    inference(subsumption_resolution,[],[f5062,f5046]) ).

fof(f5046,plain,
    ( rearsegP(cons(sK68,sK19),nil)
    | ~ spl69_59 ),
    inference(avatar_component_clause,[],[f5044]) ).

fof(f5044,plain,
    ( spl69_59
  <=> rearsegP(cons(sK68,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_59])]) ).

fof(f5062,plain,
    ( ~ rearsegP(cons(sK68,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK68,sK19))
    | spl69_58 ),
    inference(resolution,[],[f5042,f574]) ).

fof(f5042,plain,
    ( ~ ssList(sK63(cons(sK68,sK19),nil))
    | spl69_58 ),
    inference(avatar_component_clause,[],[f5040]) ).

fof(f5040,plain,
    ( spl69_58
  <=> ssList(sK63(cons(sK68,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_58])]) ).

fof(f5058,plain,
    ( ~ spl69_22
    | ~ spl69_43
    | spl69_59 ),
    inference(avatar_contradiction_clause,[],[f5057]) ).

fof(f5057,plain,
    ( $false
    | ~ spl69_22
    | ~ spl69_43
    | spl69_59 ),
    inference(subsumption_resolution,[],[f5056,f393]) ).

fof(f5056,plain,
    ( ~ ssList(nil)
    | ~ spl69_22
    | ~ spl69_43
    | spl69_59 ),
    inference(subsumption_resolution,[],[f5050,f3564]) ).

fof(f5050,plain,
    ( ~ rearsegP(sK19,nil)
    | ~ ssList(nil)
    | ~ spl69_22
    | spl69_59 ),
    inference(resolution,[],[f5045,f2753]) ).

fof(f2753,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,sK19),X0)
        | ~ rearsegP(sK19,X0)
        | ~ ssList(X0) )
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2752,f375]) ).

fof(f2752,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,sK19),X0)
        | ~ rearsegP(sK19,X0)
        | ~ ssList(X0)
        | ~ ssList(sK19) )
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2720,f1903]) ).

fof(f2720,plain,
    ! [X0] :
      ( rearsegP(cons(sK68,sK19),X0)
      | ~ rearsegP(sK19,X0)
      | ~ ssList(cons(sK68,nil))
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(superposition,[],[f591,f1843]) ).

fof(f5045,plain,
    ( ~ rearsegP(cons(sK68,sK19),nil)
    | spl69_59 ),
    inference(avatar_component_clause,[],[f5044]) ).

fof(f5055,plain,
    ( ~ spl69_23
    | spl69_59 ),
    inference(avatar_contradiction_clause,[],[f5054]) ).

fof(f5054,plain,
    ( $false
    | ~ spl69_23
    | spl69_59 ),
    inference(subsumption_resolution,[],[f5053,f393]) ).

fof(f5053,plain,
    ( ~ ssList(nil)
    | ~ spl69_23
    | spl69_59 ),
    inference(subsumption_resolution,[],[f5049,f636]) ).

fof(f5049,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_23
    | spl69_59 ),
    inference(resolution,[],[f5045,f2737]) ).

fof(f2737,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f2736,f393]) ).

fof(f2736,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f2708,f1908]) ).

fof(f2708,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(cons(sK68,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_23 ),
    inference(superposition,[],[f591,f1932]) ).

fof(f1932,plain,
    ( cons(sK68,sK19) = app(cons(sK68,sK19),nil)
    | ~ spl69_23 ),
    inference(resolution,[],[f1908,f455]) ).

fof(f5052,plain,
    ( ~ spl69_23
    | spl69_59 ),
    inference(avatar_contradiction_clause,[],[f5051]) ).

fof(f5051,plain,
    ( $false
    | ~ spl69_23
    | spl69_59 ),
    inference(subsumption_resolution,[],[f5048,f1908]) ).

fof(f5048,plain,
    ( ~ ssList(cons(sK68,sK19))
    | spl69_59 ),
    inference(resolution,[],[f5045,f449]) ).

fof(f5047,plain,
    ( ~ spl69_58
    | spl69_59
    | ~ spl69_23 ),
    inference(avatar_split_clause,[],[f4789,f1906,f5044,f5040]) ).

fof(f4789,plain,
    ( rearsegP(cons(sK68,sK19),nil)
    | ~ ssList(sK63(cons(sK68,sK19),nil))
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f4779,f393]) ).

fof(f4779,plain,
    ( rearsegP(cons(sK68,sK19),nil)
    | ~ ssList(sK63(cons(sK68,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_23 ),
    inference(superposition,[],[f2136,f3443]) ).

fof(f3443,plain,
    ( cons(sK68,sK19) = app(sK63(cons(sK68,sK19),nil),nil)
    | ~ spl69_23 ),
    inference(resolution,[],[f2591,f1908]) ).

fof(f5019,plain,
    ( ~ spl69_22
    | spl69_56
    | ~ spl69_57 ),
    inference(avatar_contradiction_clause,[],[f5018]) ).

fof(f5018,plain,
    ( $false
    | ~ spl69_22
    | spl69_56
    | ~ spl69_57 ),
    inference(subsumption_resolution,[],[f5017,f1903]) ).

fof(f5017,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_56
    | ~ spl69_57 ),
    inference(subsumption_resolution,[],[f5016,f393]) ).

fof(f5016,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK68,nil))
    | spl69_56
    | ~ spl69_57 ),
    inference(subsumption_resolution,[],[f5015,f5003]) ).

fof(f5003,plain,
    ( rearsegP(cons(sK68,nil),nil)
    | ~ spl69_57 ),
    inference(avatar_component_clause,[],[f5001]) ).

fof(f5001,plain,
    ( spl69_57
  <=> rearsegP(cons(sK68,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_57])]) ).

fof(f5015,plain,
    ( ~ rearsegP(cons(sK68,nil),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK68,nil))
    | spl69_56 ),
    inference(resolution,[],[f4999,f574]) ).

fof(f4999,plain,
    ( ~ ssList(sK63(cons(sK68,nil),nil))
    | spl69_56 ),
    inference(avatar_component_clause,[],[f4997]) ).

fof(f4997,plain,
    ( spl69_56
  <=> ssList(sK63(cons(sK68,nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_56])]) ).

fof(f5011,plain,
    ( ~ spl69_22
    | spl69_57 ),
    inference(avatar_contradiction_clause,[],[f5010]) ).

fof(f5010,plain,
    ( $false
    | ~ spl69_22
    | spl69_57 ),
    inference(subsumption_resolution,[],[f5009,f393]) ).

fof(f5009,plain,
    ( ~ ssList(nil)
    | ~ spl69_22
    | spl69_57 ),
    inference(subsumption_resolution,[],[f5006,f636]) ).

fof(f5006,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_22
    | spl69_57 ),
    inference(resolution,[],[f5002,f2735]) ).

fof(f2735,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2734,f393]) ).

fof(f2734,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2707,f1903]) ).

fof(f2707,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(cons(sK68,nil))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_22 ),
    inference(superposition,[],[f591,f1920]) ).

fof(f1920,plain,
    ( cons(sK68,nil) = app(cons(sK68,nil),nil)
    | ~ spl69_22 ),
    inference(resolution,[],[f1903,f455]) ).

fof(f5002,plain,
    ( ~ rearsegP(cons(sK68,nil),nil)
    | spl69_57 ),
    inference(avatar_component_clause,[],[f5001]) ).

fof(f5008,plain,
    ( ~ spl69_22
    | spl69_57 ),
    inference(avatar_contradiction_clause,[],[f5007]) ).

fof(f5007,plain,
    ( $false
    | ~ spl69_22
    | spl69_57 ),
    inference(subsumption_resolution,[],[f5005,f1903]) ).

fof(f5005,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_57 ),
    inference(resolution,[],[f5002,f449]) ).

fof(f5004,plain,
    ( ~ spl69_56
    | spl69_57
    | ~ spl69_22 ),
    inference(avatar_split_clause,[],[f4763,f1902,f5001,f4997]) ).

fof(f4763,plain,
    ( rearsegP(cons(sK68,nil),nil)
    | ~ ssList(sK63(cons(sK68,nil),nil))
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f4752,f393]) ).

fof(f4752,plain,
    ( rearsegP(cons(sK68,nil),nil)
    | ~ ssList(sK63(cons(sK68,nil),nil))
    | ~ ssList(nil)
    | ~ spl69_22 ),
    inference(superposition,[],[f2136,f3442]) ).

fof(f3442,plain,
    ( cons(sK68,nil) = app(sK63(cons(sK68,nil),nil),nil)
    | ~ spl69_22 ),
    inference(resolution,[],[f2591,f1903]) ).

fof(f4976,plain,
    ( ~ spl69_21
    | spl69_54
    | ~ spl69_55 ),
    inference(avatar_contradiction_clause,[],[f4975]) ).

fof(f4975,plain,
    ( $false
    | ~ spl69_21
    | spl69_54
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f4974,f1859]) ).

fof(f4974,plain,
    ( ~ ssList(cons(sK67,sK19))
    | spl69_54
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f4973,f393]) ).

fof(f4973,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK67,sK19))
    | spl69_54
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f4972,f4900]) ).

fof(f4900,plain,
    ( rearsegP(cons(sK67,sK19),nil)
    | ~ spl69_55 ),
    inference(avatar_component_clause,[],[f4898]) ).

fof(f4898,plain,
    ( spl69_55
  <=> rearsegP(cons(sK67,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_55])]) ).

fof(f4972,plain,
    ( ~ rearsegP(cons(sK67,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK67,sK19))
    | spl69_54 ),
    inference(resolution,[],[f4896,f574]) ).

fof(f4896,plain,
    ( ~ ssList(sK63(cons(sK67,sK19),nil))
    | spl69_54 ),
    inference(avatar_component_clause,[],[f4894]) ).

fof(f4894,plain,
    ( spl69_54
  <=> ssList(sK63(cons(sK67,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_54])]) ).

fof(f4912,plain,
    ( ~ spl69_20
    | ~ spl69_43
    | spl69_55 ),
    inference(avatar_contradiction_clause,[],[f4911]) ).

fof(f4911,plain,
    ( $false
    | ~ spl69_20
    | ~ spl69_43
    | spl69_55 ),
    inference(subsumption_resolution,[],[f4910,f393]) ).

fof(f4910,plain,
    ( ~ ssList(nil)
    | ~ spl69_20
    | ~ spl69_43
    | spl69_55 ),
    inference(subsumption_resolution,[],[f4904,f3564]) ).

fof(f4904,plain,
    ( ~ rearsegP(sK19,nil)
    | ~ ssList(nil)
    | ~ spl69_20
    | spl69_55 ),
    inference(resolution,[],[f4899,f2751]) ).

fof(f2751,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,sK19),X0)
        | ~ rearsegP(sK19,X0)
        | ~ ssList(X0) )
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2750,f375]) ).

fof(f2750,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,sK19),X0)
        | ~ rearsegP(sK19,X0)
        | ~ ssList(X0)
        | ~ ssList(sK19) )
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2719,f1854]) ).

fof(f2719,plain,
    ! [X0] :
      ( rearsegP(cons(sK67,sK19),X0)
      | ~ rearsegP(sK19,X0)
      | ~ ssList(cons(sK67,nil))
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(superposition,[],[f591,f1842]) ).

fof(f4899,plain,
    ( ~ rearsegP(cons(sK67,sK19),nil)
    | spl69_55 ),
    inference(avatar_component_clause,[],[f4898]) ).

fof(f4909,plain,
    ( ~ spl69_21
    | spl69_55 ),
    inference(avatar_contradiction_clause,[],[f4908]) ).

fof(f4908,plain,
    ( $false
    | ~ spl69_21
    | spl69_55 ),
    inference(subsumption_resolution,[],[f4907,f393]) ).

fof(f4907,plain,
    ( ~ ssList(nil)
    | ~ spl69_21
    | spl69_55 ),
    inference(subsumption_resolution,[],[f4903,f636]) ).

fof(f4903,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_21
    | spl69_55 ),
    inference(resolution,[],[f4899,f2733]) ).

fof(f2733,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f2732,f393]) ).

fof(f2732,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f2706,f1859]) ).

fof(f2706,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(cons(sK67,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_21 ),
    inference(superposition,[],[f591,f1877]) ).

fof(f1877,plain,
    ( cons(sK67,sK19) = app(cons(sK67,sK19),nil)
    | ~ spl69_21 ),
    inference(resolution,[],[f1859,f455]) ).

fof(f4906,plain,
    ( ~ spl69_21
    | spl69_55 ),
    inference(avatar_contradiction_clause,[],[f4905]) ).

fof(f4905,plain,
    ( $false
    | ~ spl69_21
    | spl69_55 ),
    inference(subsumption_resolution,[],[f4902,f1859]) ).

fof(f4902,plain,
    ( ~ ssList(cons(sK67,sK19))
    | spl69_55 ),
    inference(resolution,[],[f4899,f449]) ).

fof(f4901,plain,
    ( ~ spl69_54
    | spl69_55
    | ~ spl69_21 ),
    inference(avatar_split_clause,[],[f4736,f1857,f4898,f4894]) ).

fof(f4736,plain,
    ( rearsegP(cons(sK67,sK19),nil)
    | ~ ssList(sK63(cons(sK67,sK19),nil))
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f4726,f393]) ).

fof(f4726,plain,
    ( rearsegP(cons(sK67,sK19),nil)
    | ~ ssList(sK63(cons(sK67,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_21 ),
    inference(superposition,[],[f2136,f3441]) ).

fof(f3441,plain,
    ( cons(sK67,sK19) = app(sK63(cons(sK67,sK19),nil),nil)
    | ~ spl69_21 ),
    inference(resolution,[],[f2591,f1859]) ).

fof(f4873,plain,
    ( ~ spl69_20
    | spl69_52
    | ~ spl69_53 ),
    inference(avatar_contradiction_clause,[],[f4872]) ).

fof(f4872,plain,
    ( $false
    | ~ spl69_20
    | spl69_52
    | ~ spl69_53 ),
    inference(subsumption_resolution,[],[f4871,f1854]) ).

fof(f4871,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_52
    | ~ spl69_53 ),
    inference(subsumption_resolution,[],[f4870,f393]) ).

fof(f4870,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK67,nil))
    | spl69_52
    | ~ spl69_53 ),
    inference(subsumption_resolution,[],[f4869,f4857]) ).

fof(f4857,plain,
    ( rearsegP(cons(sK67,nil),nil)
    | ~ spl69_53 ),
    inference(avatar_component_clause,[],[f4855]) ).

fof(f4855,plain,
    ( spl69_53
  <=> rearsegP(cons(sK67,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_53])]) ).

fof(f4869,plain,
    ( ~ rearsegP(cons(sK67,nil),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK67,nil))
    | spl69_52 ),
    inference(resolution,[],[f4853,f574]) ).

fof(f4853,plain,
    ( ~ ssList(sK63(cons(sK67,nil),nil))
    | spl69_52 ),
    inference(avatar_component_clause,[],[f4851]) ).

fof(f4851,plain,
    ( spl69_52
  <=> ssList(sK63(cons(sK67,nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_52])]) ).

fof(f4865,plain,
    ( ~ spl69_20
    | spl69_53 ),
    inference(avatar_contradiction_clause,[],[f4864]) ).

fof(f4864,plain,
    ( $false
    | ~ spl69_20
    | spl69_53 ),
    inference(subsumption_resolution,[],[f4863,f393]) ).

fof(f4863,plain,
    ( ~ ssList(nil)
    | ~ spl69_20
    | spl69_53 ),
    inference(subsumption_resolution,[],[f4860,f636]) ).

fof(f4860,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_20
    | spl69_53 ),
    inference(resolution,[],[f4856,f2731]) ).

fof(f2731,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2730,f393]) ).

fof(f2730,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2705,f1854]) ).

fof(f2705,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(cons(sK67,nil))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_20 ),
    inference(superposition,[],[f591,f1865]) ).

fof(f1865,plain,
    ( cons(sK67,nil) = app(cons(sK67,nil),nil)
    | ~ spl69_20 ),
    inference(resolution,[],[f1854,f455]) ).

fof(f4856,plain,
    ( ~ rearsegP(cons(sK67,nil),nil)
    | spl69_53 ),
    inference(avatar_component_clause,[],[f4855]) ).

fof(f4862,plain,
    ( ~ spl69_20
    | spl69_53 ),
    inference(avatar_contradiction_clause,[],[f4861]) ).

fof(f4861,plain,
    ( $false
    | ~ spl69_20
    | spl69_53 ),
    inference(subsumption_resolution,[],[f4859,f1854]) ).

fof(f4859,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_53 ),
    inference(resolution,[],[f4856,f449]) ).

fof(f4858,plain,
    ( ~ spl69_52
    | spl69_53
    | ~ spl69_20 ),
    inference(avatar_split_clause,[],[f4710,f1853,f4855,f4851]) ).

fof(f4710,plain,
    ( rearsegP(cons(sK67,nil),nil)
    | ~ ssList(sK63(cons(sK67,nil),nil))
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f4699,f393]) ).

fof(f4699,plain,
    ( rearsegP(cons(sK67,nil),nil)
    | ~ ssList(sK63(cons(sK67,nil),nil))
    | ~ ssList(nil)
    | ~ spl69_20 ),
    inference(superposition,[],[f2136,f3440]) ).

fof(f3440,plain,
    ( cons(sK67,nil) = app(sK63(cons(sK67,nil),nil),nil)
    | ~ spl69_20 ),
    inference(resolution,[],[f2591,f1854]) ).

fof(f4413,plain,
    spl69_50,
    inference(avatar_contradiction_clause,[],[f4412]) ).

fof(f4412,plain,
    ( $false
    | spl69_50 ),
    inference(subsumption_resolution,[],[f4411,f393]) ).

fof(f4411,plain,
    ( ~ ssList(nil)
    | spl69_50 ),
    inference(subsumption_resolution,[],[f4410,f638]) ).

fof(f4410,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_50 ),
    inference(duplicate_literal_removal,[],[f4409]) ).

fof(f4409,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(nil)
    | spl69_50 ),
    inference(resolution,[],[f4403,f581]) ).

fof(f4403,plain,
    ( ~ ssList(sK66(nil,nil))
    | spl69_50 ),
    inference(avatar_component_clause,[],[f4401]) ).

fof(f4401,plain,
    ( spl69_50
  <=> ssList(sK66(nil,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_50])]) ).

fof(f4408,plain,
    ( ~ spl69_50
    | spl69_51
    | ~ spl69_3 ),
    inference(avatar_split_clause,[],[f4399,f776,f4405,f4401]) ).

fof(f4405,plain,
    ( spl69_51
  <=> nil = sK66(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_51])]) ).

fof(f4399,plain,
    ( nil = sK66(nil,nil)
    | ~ ssList(sK66(nil,nil))
    | ~ spl69_3 ),
    inference(trivial_inequality_removal,[],[f4397]) ).

fof(f4397,plain,
    ( nil != nil
    | nil = sK66(nil,nil)
    | ~ ssList(sK66(nil,nil))
    | ~ spl69_3 ),
    inference(superposition,[],[f4190,f2633]) ).

fof(f4190,plain,
    ( ! [X0] :
        ( nil != app(nil,X0)
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f4189,f778]) ).

fof(f4189,plain,
    ! [X0] :
      ( sK18 != app(sK18,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4188,f374]) ).

fof(f4188,plain,
    ! [X0] :
      ( sK18 != app(sK18,X0)
      | nil = X0
      | ~ ssList(sK18)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4096,f393]) ).

fof(f4096,plain,
    ! [X0] :
      ( sK18 != app(sK18,X0)
      | nil = X0
      | ~ ssList(nil)
      | ~ ssList(sK18)
      | ~ ssList(X0) ),
    inference(superposition,[],[f594,f659]) ).

fof(f4059,plain,
    spl69_48,
    inference(avatar_contradiction_clause,[],[f4058]) ).

fof(f4058,plain,
    ( $false
    | spl69_48 ),
    inference(subsumption_resolution,[],[f4057,f393]) ).

fof(f4057,plain,
    ( ~ ssList(nil)
    | spl69_48 ),
    inference(subsumption_resolution,[],[f4056,f636]) ).

fof(f4056,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_48 ),
    inference(duplicate_literal_removal,[],[f4055]) ).

fof(f4055,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(nil)
    | spl69_48 ),
    inference(resolution,[],[f4049,f574]) ).

fof(f4049,plain,
    ( ~ ssList(sK63(nil,nil))
    | spl69_48 ),
    inference(avatar_component_clause,[],[f4047]) ).

fof(f4047,plain,
    ( spl69_48
  <=> ssList(sK63(nil,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_48])]) ).

fof(f4054,plain,
    ( ~ spl69_48
    | spl69_49
    | ~ spl69_3 ),
    inference(avatar_split_clause,[],[f4045,f776,f4051,f4047]) ).

fof(f4051,plain,
    ( spl69_49
  <=> nil = sK63(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_49])]) ).

fof(f4045,plain,
    ( nil = sK63(nil,nil)
    | ~ ssList(sK63(nil,nil))
    | ~ spl69_3 ),
    inference(trivial_inequality_removal,[],[f4040]) ).

fof(f4040,plain,
    ( nil != nil
    | nil = sK63(nil,nil)
    | ~ ssList(sK63(nil,nil))
    | ~ spl69_3 ),
    inference(superposition,[],[f3848,f2590]) ).

fof(f3848,plain,
    ( ! [X0] :
        ( nil != app(X0,nil)
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f3847,f778]) ).

fof(f3847,plain,
    ( ! [X0] :
        ( nil != app(X0,nil)
        | sK18 = X0
        | ~ ssList(X0) )
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f3846,f778]) ).

fof(f3846,plain,
    ! [X0] :
      ( app(X0,nil) != sK18
      | sK18 = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3845,f393]) ).

fof(f3845,plain,
    ! [X0] :
      ( app(X0,nil) != sK18
      | sK18 = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3757,f374]) ).

fof(f3757,plain,
    ! [X0] :
      ( app(X0,nil) != sK18
      | sK18 = X0
      | ~ ssList(sK18)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f593,f659]) ).

fof(f3742,plain,
    ( ~ spl69_42
    | spl69_46 ),
    inference(avatar_contradiction_clause,[],[f3741]) ).

fof(f3741,plain,
    ( $false
    | ~ spl69_42
    | spl69_46 ),
    inference(subsumption_resolution,[],[f3740,f375]) ).

fof(f3740,plain,
    ( ~ ssList(sK19)
    | ~ spl69_42
    | spl69_46 ),
    inference(subsumption_resolution,[],[f3739,f3611]) ).

fof(f3739,plain,
    ( ~ frontsegP(sK19,sK19)
    | ~ ssList(sK19)
    | spl69_46 ),
    inference(duplicate_literal_removal,[],[f3738]) ).

fof(f3738,plain,
    ( ~ frontsegP(sK19,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_46 ),
    inference(resolution,[],[f3732,f581]) ).

fof(f3732,plain,
    ( ~ ssList(sK66(sK19,sK19))
    | spl69_46 ),
    inference(avatar_component_clause,[],[f3730]) ).

fof(f3730,plain,
    ( spl69_46
  <=> ssList(sK66(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_46])]) ).

fof(f3737,plain,
    ( ~ spl69_46
    | spl69_47
    | ~ spl69_42 ),
    inference(avatar_split_clause,[],[f3686,f3558,f3734,f3730]) ).

fof(f3734,plain,
    ( spl69_47
  <=> rearsegP(sK19,sK66(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_47])]) ).

fof(f3686,plain,
    ( rearsegP(sK19,sK66(sK19,sK19))
    | ~ ssList(sK66(sK19,sK19))
    | ~ spl69_42 ),
    inference(subsumption_resolution,[],[f3682,f375]) ).

fof(f3682,plain,
    ( rearsegP(sK19,sK66(sK19,sK19))
    | ~ ssList(sK19)
    | ~ ssList(sK66(sK19,sK19))
    | ~ spl69_42 ),
    inference(superposition,[],[f2136,f3674]) ).

fof(f3674,plain,
    ( sK19 = app(sK19,sK66(sK19,sK19))
    | ~ spl69_42 ),
    inference(subsumption_resolution,[],[f3672,f375]) ).

fof(f3672,plain,
    ( sK19 = app(sK19,sK66(sK19,sK19))
    | ~ ssList(sK19)
    | ~ spl69_42 ),
    inference(duplicate_literal_removal,[],[f3669]) ).

fof(f3669,plain,
    ( sK19 = app(sK19,sK66(sK19,sK19))
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_42 ),
    inference(resolution,[],[f3611,f582]) ).

fof(f3711,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_44
    | ~ spl69_45 ),
    inference(avatar_contradiction_clause,[],[f3710]) ).

fof(f3710,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_44
    | ~ spl69_45 ),
    inference(subsumption_resolution,[],[f3709,f1632]) ).

fof(f3709,plain,
    ( ~ ssList(tl(sK19))
    | spl69_44
    | ~ spl69_45 ),
    inference(subsumption_resolution,[],[f3708,f393]) ).

fof(f3708,plain,
    ( ~ ssList(nil)
    | ~ ssList(tl(sK19))
    | spl69_44
    | ~ spl69_45 ),
    inference(subsumption_resolution,[],[f3707,f3695]) ).

fof(f3695,plain,
    ( rearsegP(tl(sK19),nil)
    | ~ spl69_45 ),
    inference(avatar_component_clause,[],[f3693]) ).

fof(f3693,plain,
    ( spl69_45
  <=> rearsegP(tl(sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_45])]) ).

fof(f3707,plain,
    ( ~ rearsegP(tl(sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(tl(sK19))
    | spl69_44 ),
    inference(resolution,[],[f3691,f574]) ).

fof(f3691,plain,
    ( ~ ssList(sK63(tl(sK19),nil))
    | spl69_44 ),
    inference(avatar_component_clause,[],[f3689]) ).

fof(f3703,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_45 ),
    inference(avatar_contradiction_clause,[],[f3702]) ).

fof(f3702,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_45 ),
    inference(subsumption_resolution,[],[f3701,f393]) ).

fof(f3701,plain,
    ( ~ ssList(nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_45 ),
    inference(subsumption_resolution,[],[f3698,f636]) ).

fof(f3698,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_45 ),
    inference(resolution,[],[f3694,f2749]) ).

fof(f2749,plain,
    ( ! [X0] :
        ( rearsegP(tl(sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f2748,f1628]) ).

fof(f2748,plain,
    ( ! [X0] :
        ( rearsegP(sK22(sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f2747,f393]) ).

fof(f2747,plain,
    ( ! [X0] :
        ( rearsegP(sK22(sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f2714,f1480]) ).

fof(f2714,plain,
    ( ! [X0] :
        ( rearsegP(sK22(sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(sK22(sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_12 ),
    inference(superposition,[],[f591,f1491]) ).

fof(f1491,plain,
    ( sK22(sK19) = app(sK22(sK19),nil)
    | ~ spl69_12 ),
    inference(resolution,[],[f1480,f455]) ).

fof(f3694,plain,
    ( ~ rearsegP(tl(sK19),nil)
    | spl69_45 ),
    inference(avatar_component_clause,[],[f3693]) ).

fof(f3700,plain,
    ( spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_45 ),
    inference(avatar_contradiction_clause,[],[f3699]) ).

fof(f3699,plain,
    ( $false
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | spl69_45 ),
    inference(subsumption_resolution,[],[f3697,f1632]) ).

fof(f3697,plain,
    ( ~ ssList(tl(sK19))
    | spl69_45 ),
    inference(resolution,[],[f3694,f449]) ).

fof(f3696,plain,
    ( ~ spl69_44
    | spl69_45
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(avatar_split_clause,[],[f3608,f1479,f1440,f1354,f840,f3693,f3689]) ).

fof(f3608,plain,
    ( rearsegP(tl(sK19),nil)
    | ~ ssList(sK63(tl(sK19),nil))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(subsumption_resolution,[],[f3604,f393]) ).

fof(f3604,plain,
    ( rearsegP(tl(sK19),nil)
    | ~ ssList(sK63(tl(sK19),nil))
    | ~ ssList(nil)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(superposition,[],[f2136,f3487]) ).

fof(f3580,plain,
    ( spl69_42
    | ~ spl69_43 ),
    inference(avatar_contradiction_clause,[],[f3579]) ).

fof(f3579,plain,
    ( $false
    | spl69_42
    | ~ spl69_43 ),
    inference(subsumption_resolution,[],[f3578,f375]) ).

fof(f3578,plain,
    ( ~ ssList(sK19)
    | spl69_42
    | ~ spl69_43 ),
    inference(subsumption_resolution,[],[f3577,f393]) ).

fof(f3577,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_42
    | ~ spl69_43 ),
    inference(subsumption_resolution,[],[f3576,f3564]) ).

fof(f3576,plain,
    ( ~ rearsegP(sK19,nil)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_42 ),
    inference(resolution,[],[f3560,f574]) ).

fof(f3560,plain,
    ( ~ ssList(sK63(sK19,nil))
    | spl69_42 ),
    inference(avatar_component_clause,[],[f3558]) ).

fof(f3572,plain,
    spl69_43,
    inference(avatar_contradiction_clause,[],[f3571]) ).

fof(f3571,plain,
    ( $false
    | spl69_43 ),
    inference(subsumption_resolution,[],[f3570,f393]) ).

fof(f3570,plain,
    ( ~ ssList(nil)
    | spl69_43 ),
    inference(subsumption_resolution,[],[f3567,f636]) ).

fof(f3567,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_43 ),
    inference(resolution,[],[f3563,f2746]) ).

fof(f3563,plain,
    ( ~ rearsegP(sK19,nil)
    | spl69_43 ),
    inference(avatar_component_clause,[],[f3562]) ).

fof(f3569,plain,
    spl69_43,
    inference(avatar_contradiction_clause,[],[f3568]) ).

fof(f3568,plain,
    ( $false
    | spl69_43 ),
    inference(subsumption_resolution,[],[f3566,f375]) ).

fof(f3566,plain,
    ( ~ ssList(sK19)
    | spl69_43 ),
    inference(resolution,[],[f3563,f449]) ).

fof(f3565,plain,
    ( ~ spl69_42
    | spl69_43 ),
    inference(avatar_split_clause,[],[f3555,f3562,f3558]) ).

fof(f3363,plain,
    ( ~ spl69_40
    | spl69_41
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_24
    | ~ spl69_25 ),
    inference(avatar_split_clause,[],[f3351,f2182,f2178,f1479,f1440,f1354,f840,f3360,f3356]) ).

fof(f3356,plain,
    ( spl69_40
  <=> rearsegP(nil,cons(hd(sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_40])]) ).

fof(f3360,plain,
    ( spl69_41
  <=> rearsegP(tl(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_41])]) ).

fof(f2182,plain,
    ( spl69_25
  <=> ssList(cons(hd(sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_25])]) ).

fof(f3351,plain,
    ( rearsegP(tl(sK19),sK19)
    | ~ rearsegP(nil,cons(hd(sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_24
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f3350,f2184]) ).

fof(f2184,plain,
    ( ssList(cons(hd(sK19),sK19))
    | ~ spl69_25 ),
    inference(avatar_component_clause,[],[f2182]) ).

fof(f3350,plain,
    ( rearsegP(tl(sK19),sK19)
    | ~ rearsegP(nil,cons(hd(sK19),sK19))
    | ~ ssList(cons(hd(sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_24
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f3337,f1632]) ).

fof(f3337,plain,
    ( rearsegP(tl(sK19),sK19)
    | ~ ssList(tl(sK19))
    | ~ rearsegP(nil,cons(hd(sK19),sK19))
    | ~ ssList(cons(hd(sK19),sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12
    | ~ spl69_24
    | ~ spl69_25 ),
    inference(resolution,[],[f3283,f2749]) ).

fof(f3283,plain,
    ( ! [X0] :
        ( ~ rearsegP(X0,cons(hd(sK19),sK19))
        | rearsegP(X0,sK19)
        | ~ ssList(X0) )
    | ~ spl69_10
    | ~ spl69_24
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f3282,f2184]) ).

fof(f3282,plain,
    ( ! [X0] :
        ( rearsegP(X0,sK19)
        | ~ rearsegP(X0,cons(hd(sK19),sK19))
        | ~ ssList(cons(hd(sK19),sK19))
        | ~ ssList(X0) )
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(subsumption_resolution,[],[f3245,f375]) ).

fof(f3245,plain,
    ( ! [X0] :
        ( rearsegP(X0,sK19)
        | ~ rearsegP(X0,cons(hd(sK19),sK19))
        | ~ ssList(sK19)
        | ~ ssList(cons(hd(sK19),sK19))
        | ~ ssList(X0) )
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(resolution,[],[f595,f2231]) ).

fof(f2231,plain,
    ( rearsegP(cons(hd(sK19),sK19),sK19)
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(subsumption_resolution,[],[f2230,f375]) ).

fof(f2230,plain,
    ( rearsegP(cons(hd(sK19),sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_10
    | ~ spl69_24 ),
    inference(subsumption_resolution,[],[f2221,f2179]) ).

fof(f2221,plain,
    ( rearsegP(cons(hd(sK19),sK19),sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ ssList(sK19)
    | ~ spl69_10 ),
    inference(superposition,[],[f2136,f1823]) ).

fof(f2934,plain,
    ( ~ spl69_36
    | spl69_38
    | spl69_39 ),
    inference(avatar_contradiction_clause,[],[f2933]) ).

fof(f2933,plain,
    ( $false
    | ~ spl69_36
    | spl69_38
    | spl69_39 ),
    inference(subsumption_resolution,[],[f2929,f392]) ).

fof(f2929,plain,
    ( ~ strictorderedP(nil)
    | ~ spl69_36
    | spl69_38
    | spl69_39 ),
    inference(superposition,[],[f2906,f2923]) ).

fof(f2923,plain,
    ( nil = sK63(sK19,sK19)
    | ~ spl69_36
    | spl69_39 ),
    inference(subsumption_resolution,[],[f2922,f393]) ).

fof(f2922,plain,
    ( nil = sK63(sK19,sK19)
    | ~ ssList(nil)
    | ~ spl69_36
    | spl69_39 ),
    inference(subsumption_resolution,[],[f2920,f2777]) ).

fof(f2777,plain,
    ( ssList(sK63(sK19,sK19))
    | ~ spl69_36 ),
    inference(avatar_component_clause,[],[f2776]) ).

fof(f2776,plain,
    ( spl69_36
  <=> ssList(sK63(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_36])]) ).

fof(f2920,plain,
    ( nil = sK63(sK19,sK19)
    | ~ ssList(sK63(sK19,sK19))
    | ~ ssList(nil)
    | spl69_39 ),
    inference(resolution,[],[f2910,f573]) ).

fof(f2910,plain,
    ( ~ neq(nil,sK63(sK19,sK19))
    | spl69_39 ),
    inference(avatar_component_clause,[],[f2908]) ).

fof(f2908,plain,
    ( spl69_39
  <=> neq(nil,sK63(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_39])]) ).

fof(f2906,plain,
    ( ~ strictorderedP(sK63(sK19,sK19))
    | spl69_38 ),
    inference(avatar_component_clause,[],[f2904]) ).

fof(f2904,plain,
    ( spl69_38
  <=> strictorderedP(sK63(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_38])]) ).

fof(f2911,plain,
    ( ~ spl69_38
    | ~ spl69_39
    | ~ spl69_3
    | ~ spl69_36
    | ~ spl69_37 ),
    inference(avatar_split_clause,[],[f2802,f2780,f2776,f776,f2908,f2904]) ).

fof(f2780,plain,
    ( spl69_37
  <=> frontsegP(sK19,sK63(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_37])]) ).

fof(f2802,plain,
    ( ~ neq(nil,sK63(sK19,sK19))
    | ~ strictorderedP(sK63(sK19,sK19))
    | ~ spl69_3
    | ~ spl69_36
    | ~ spl69_37 ),
    inference(subsumption_resolution,[],[f2799,f2777]) ).

fof(f2799,plain,
    ( ~ neq(nil,sK63(sK19,sK19))
    | ~ strictorderedP(sK63(sK19,sK19))
    | ~ ssList(sK63(sK19,sK19))
    | ~ spl69_3
    | ~ spl69_37 ),
    inference(resolution,[],[f2782,f1076]) ).

fof(f2782,plain,
    ( frontsegP(sK19,sK63(sK19,sK19))
    | ~ spl69_37 ),
    inference(avatar_component_clause,[],[f2780]) ).

fof(f2788,plain,
    ( ~ spl69_3
    | ~ spl69_34
    | ~ spl69_35
    | spl69_36 ),
    inference(avatar_contradiction_clause,[],[f2787]) ).

fof(f2787,plain,
    ( $false
    | ~ spl69_3
    | ~ spl69_34
    | ~ spl69_35
    | spl69_36 ),
    inference(subsumption_resolution,[],[f2786,f375]) ).

fof(f2786,plain,
    ( ~ ssList(sK19)
    | ~ spl69_3
    | ~ spl69_34
    | ~ spl69_35
    | spl69_36 ),
    inference(subsumption_resolution,[],[f2785,f2680]) ).

fof(f2680,plain,
    ( rearsegP(sK19,sK19)
    | ~ spl69_3
    | ~ spl69_34
    | ~ spl69_35 ),
    inference(superposition,[],[f2655,f2672]) ).

fof(f2672,plain,
    ( sK19 = sK66(sK19,nil)
    | ~ spl69_3
    | ~ spl69_34 ),
    inference(forward_demodulation,[],[f2663,f2636]) ).

fof(f2636,plain,
    ( sK19 = app(nil,sK66(sK19,nil))
    | ~ spl69_3 ),
    inference(forward_demodulation,[],[f2635,f778]) ).

fof(f2635,plain,
    sK19 = app(sK18,sK66(sK19,sK18)),
    inference(subsumption_resolution,[],[f2634,f375]) ).

fof(f2634,plain,
    ( sK19 = app(sK18,sK66(sK19,sK18))
    | ~ ssList(sK19) ),
    inference(subsumption_resolution,[],[f2619,f374]) ).

fof(f2619,plain,
    ( sK19 = app(sK18,sK66(sK19,sK18))
    | ~ ssList(sK18)
    | ~ ssList(sK19) ),
    inference(resolution,[],[f582,f644]) ).

fof(f2663,plain,
    ( sK66(sK19,nil) = app(nil,sK66(sK19,nil))
    | ~ spl69_34 ),
    inference(resolution,[],[f2650,f456]) ).

fof(f2650,plain,
    ( ssList(sK66(sK19,nil))
    | ~ spl69_34 ),
    inference(avatar_component_clause,[],[f2649]) ).

fof(f2649,plain,
    ( spl69_34
  <=> ssList(sK66(sK19,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_34])]) ).

fof(f2655,plain,
    ( rearsegP(sK19,sK66(sK19,nil))
    | ~ spl69_35 ),
    inference(avatar_component_clause,[],[f2653]) ).

fof(f2653,plain,
    ( spl69_35
  <=> rearsegP(sK19,sK66(sK19,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_35])]) ).

fof(f2785,plain,
    ( ~ rearsegP(sK19,sK19)
    | ~ ssList(sK19)
    | spl69_36 ),
    inference(duplicate_literal_removal,[],[f2784]) ).

fof(f2784,plain,
    ( ~ rearsegP(sK19,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_36 ),
    inference(resolution,[],[f2778,f574]) ).

fof(f2778,plain,
    ( ~ ssList(sK63(sK19,sK19))
    | spl69_36 ),
    inference(avatar_component_clause,[],[f2776]) ).

fof(f2783,plain,
    ( ~ spl69_36
    | spl69_37
    | ~ spl69_3
    | ~ spl69_34
    | ~ spl69_35 ),
    inference(avatar_split_clause,[],[f2697,f2653,f2649,f776,f2780,f2776]) ).

fof(f2697,plain,
    ( frontsegP(sK19,sK63(sK19,sK19))
    | ~ ssList(sK63(sK19,sK19))
    | ~ spl69_3
    | ~ spl69_34
    | ~ spl69_35 ),
    inference(subsumption_resolution,[],[f2695,f375]) ).

fof(f2695,plain,
    ( frontsegP(sK19,sK63(sK19,sK19))
    | ~ ssList(sK19)
    | ~ ssList(sK63(sK19,sK19))
    | ~ spl69_3
    | ~ spl69_34
    | ~ spl69_35 ),
    inference(superposition,[],[f2276,f2688]) ).

fof(f2688,plain,
    ( sK19 = app(sK63(sK19,sK19),sK19)
    | ~ spl69_3
    | ~ spl69_34
    | ~ spl69_35 ),
    inference(subsumption_resolution,[],[f2687,f375]) ).

fof(f2687,plain,
    ( sK19 = app(sK63(sK19,sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_3
    | ~ spl69_34
    | ~ spl69_35 ),
    inference(duplicate_literal_removal,[],[f2684]) ).

fof(f2684,plain,
    ( sK19 = app(sK63(sK19,sK19),sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_3
    | ~ spl69_34
    | ~ spl69_35 ),
    inference(resolution,[],[f2680,f575]) ).

fof(f2661,plain,
    ( ~ spl69_3
    | spl69_34 ),
    inference(avatar_contradiction_clause,[],[f2660]) ).

fof(f2660,plain,
    ( $false
    | ~ spl69_3
    | spl69_34 ),
    inference(subsumption_resolution,[],[f2659,f375]) ).

fof(f2659,plain,
    ( ~ ssList(sK19)
    | ~ spl69_3
    | spl69_34 ),
    inference(subsumption_resolution,[],[f2658,f393]) ).

fof(f2658,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK19)
    | ~ spl69_3
    | spl69_34 ),
    inference(subsumption_resolution,[],[f2657,f1066]) ).

fof(f2657,plain,
    ( ~ frontsegP(sK19,nil)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_34 ),
    inference(resolution,[],[f2651,f581]) ).

fof(f2651,plain,
    ( ~ ssList(sK66(sK19,nil))
    | spl69_34 ),
    inference(avatar_component_clause,[],[f2649]) ).

fof(f2656,plain,
    ( ~ spl69_34
    | spl69_35
    | ~ spl69_3 ),
    inference(avatar_split_clause,[],[f2647,f776,f2653,f2649]) ).

fof(f2647,plain,
    ( rearsegP(sK19,sK66(sK19,nil))
    | ~ ssList(sK66(sK19,nil))
    | ~ spl69_3 ),
    inference(subsumption_resolution,[],[f2644,f393]) ).

fof(f2644,plain,
    ( rearsegP(sK19,sK66(sK19,nil))
    | ~ ssList(nil)
    | ~ ssList(sK66(sK19,nil))
    | ~ spl69_3 ),
    inference(superposition,[],[f2136,f2636]) ).

fof(f2518,plain,
    ~ spl69_32,
    inference(avatar_contradiction_clause,[],[f2517]) ).

fof(f2517,plain,
    ( $false
    | ~ spl69_32 ),
    inference(subsumption_resolution,[],[f2516,f393]) ).

fof(f2516,plain,
    ( ~ ssList(nil)
    | ~ spl69_32 ),
    inference(subsumption_resolution,[],[f2504,f600]) ).

fof(f2504,plain,
    ( ~ ssItem(sK68)
    | ~ ssList(nil)
    | ~ spl69_32 ),
    inference(trivial_inequality_removal,[],[f2502]) ).

fof(f2502,plain,
    ( nil != nil
    | ~ ssItem(sK68)
    | ~ ssList(nil)
    | ~ spl69_32 ),
    inference(superposition,[],[f557,f2471]) ).

fof(f2471,plain,
    ( nil = cons(sK68,nil)
    | ~ spl69_32 ),
    inference(avatar_component_clause,[],[f2469]) ).

fof(f2515,plain,
    ~ spl69_32,
    inference(avatar_contradiction_clause,[],[f2514]) ).

fof(f2514,plain,
    ( $false
    | ~ spl69_32 ),
    inference(subsumption_resolution,[],[f2513,f393]) ).

fof(f2513,plain,
    ( ~ ssList(nil)
    | ~ spl69_32 ),
    inference(subsumption_resolution,[],[f2505,f600]) ).

fof(f2505,plain,
    ( ~ ssItem(sK68)
    | ~ ssList(nil)
    | ~ spl69_32 ),
    inference(trivial_inequality_removal,[],[f2501]) ).

fof(f2501,plain,
    ( nil != nil
    | ~ ssItem(sK68)
    | ~ ssList(nil)
    | ~ spl69_32 ),
    inference(superposition,[],[f556,f2471]) ).

fof(f2512,plain,
    ( ~ spl69_22
    | ~ spl69_32 ),
    inference(avatar_contradiction_clause,[],[f2511]) ).

fof(f2511,plain,
    ( $false
    | ~ spl69_22
    | ~ spl69_32 ),
    inference(subsumption_resolution,[],[f2510,f1903]) ).

fof(f2510,plain,
    ( ~ ssList(cons(sK68,nil))
    | ~ spl69_32 ),
    inference(subsumption_resolution,[],[f2509,f600]) ).

fof(f2509,plain,
    ( ~ ssItem(sK68)
    | ~ ssList(cons(sK68,nil))
    | ~ spl69_32 ),
    inference(subsumption_resolution,[],[f2494,f385]) ).

fof(f2494,plain,
    ( singletonP(nil)
    | ~ ssItem(sK68)
    | ~ ssList(cons(sK68,nil))
    | ~ spl69_32 ),
    inference(superposition,[],[f610,f2471]) ).

fof(f2508,plain,
    ( spl69_29
    | ~ spl69_32 ),
    inference(avatar_contradiction_clause,[],[f2507]) ).

fof(f2507,plain,
    ( $false
    | spl69_29
    | ~ spl69_32 ),
    inference(subsumption_resolution,[],[f2506,f2273]) ).

fof(f2273,plain,
    ( sK19 != cons(sK68,sK19)
    | spl69_29 ),
    inference(avatar_component_clause,[],[f2272]) ).

fof(f2272,plain,
    ( spl69_29
  <=> sK19 = cons(sK68,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_29])]) ).

fof(f2506,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ spl69_32 ),
    inference(forward_demodulation,[],[f2479,f687]) ).

fof(f2479,plain,
    ( app(nil,sK19) = cons(sK68,sK19)
    | ~ spl69_32 ),
    inference(superposition,[],[f1843,f2471]) ).

fof(f2476,plain,
    ( spl69_32
    | spl69_33
    | ~ spl69_3
    | ~ spl69_22 ),
    inference(avatar_split_clause,[],[f1930,f1902,f776,f2473,f2469]) ).

fof(f2473,plain,
    ( spl69_33
  <=> sK68 = sK24(cons(sK68,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_33])]) ).

fof(f1930,plain,
    ( sK68 = sK24(cons(sK68,nil))
    | nil = cons(sK68,nil)
    | ~ spl69_3
    | ~ spl69_22 ),
    inference(forward_demodulation,[],[f1924,f1074]) ).

fof(f1074,plain,
    ( sK68 = hd(cons(sK68,nil))
    | ~ spl69_3 ),
    inference(superposition,[],[f1013,f778]) ).

fof(f1924,plain,
    ( nil = cons(sK68,nil)
    | hd(cons(sK68,nil)) = sK24(cons(sK68,nil))
    | ~ spl69_22 ),
    inference(resolution,[],[f1903,f464]) ).

fof(f2434,plain,
    ~ spl69_30,
    inference(avatar_contradiction_clause,[],[f2433]) ).

fof(f2433,plain,
    ( $false
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f2432,f393]) ).

fof(f2432,plain,
    ( ~ ssList(nil)
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f2420,f599]) ).

fof(f2420,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_30 ),
    inference(trivial_inequality_removal,[],[f2418]) ).

fof(f2418,plain,
    ( nil != nil
    | ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_30 ),
    inference(superposition,[],[f557,f2387]) ).

fof(f2387,plain,
    ( nil = cons(sK67,nil)
    | ~ spl69_30 ),
    inference(avatar_component_clause,[],[f2385]) ).

fof(f2431,plain,
    ~ spl69_30,
    inference(avatar_contradiction_clause,[],[f2430]) ).

fof(f2430,plain,
    ( $false
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f2429,f393]) ).

fof(f2429,plain,
    ( ~ ssList(nil)
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f2421,f599]) ).

fof(f2421,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_30 ),
    inference(trivial_inequality_removal,[],[f2417]) ).

fof(f2417,plain,
    ( nil != nil
    | ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_30 ),
    inference(superposition,[],[f556,f2387]) ).

fof(f2428,plain,
    ( ~ spl69_20
    | ~ spl69_30 ),
    inference(avatar_contradiction_clause,[],[f2427]) ).

fof(f2427,plain,
    ( $false
    | ~ spl69_20
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f2426,f1854]) ).

fof(f2426,plain,
    ( ~ ssList(cons(sK67,nil))
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f2425,f599]) ).

fof(f2425,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(cons(sK67,nil))
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f2410,f385]) ).

fof(f2410,plain,
    ( singletonP(nil)
    | ~ ssItem(sK67)
    | ~ ssList(cons(sK67,nil))
    | ~ spl69_30 ),
    inference(superposition,[],[f610,f2387]) ).

fof(f2424,plain,
    ( spl69_27
    | ~ spl69_30 ),
    inference(avatar_contradiction_clause,[],[f2423]) ).

fof(f2423,plain,
    ( $false
    | spl69_27
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f2422,f2264]) ).

fof(f2264,plain,
    ( sK19 != cons(sK67,sK19)
    | spl69_27 ),
    inference(avatar_component_clause,[],[f2263]) ).

fof(f2263,plain,
    ( spl69_27
  <=> sK19 = cons(sK67,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_27])]) ).

fof(f2422,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ spl69_30 ),
    inference(forward_demodulation,[],[f2395,f687]) ).

fof(f2395,plain,
    ( app(nil,sK19) = cons(sK67,sK19)
    | ~ spl69_30 ),
    inference(superposition,[],[f1842,f2387]) ).

fof(f2392,plain,
    ( spl69_30
    | spl69_31
    | ~ spl69_3
    | ~ spl69_20 ),
    inference(avatar_split_clause,[],[f1875,f1853,f776,f2389,f2385]) ).

fof(f2389,plain,
    ( spl69_31
  <=> sK67 = sK24(cons(sK67,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_31])]) ).

fof(f1875,plain,
    ( sK67 = sK24(cons(sK67,nil))
    | nil = cons(sK67,nil)
    | ~ spl69_3
    | ~ spl69_20 ),
    inference(forward_demodulation,[],[f1869,f1073]) ).

fof(f1073,plain,
    ( sK67 = hd(cons(sK67,nil))
    | ~ spl69_3 ),
    inference(superposition,[],[f1012,f778]) ).

fof(f1869,plain,
    ( nil = cons(sK67,nil)
    | hd(cons(sK67,nil)) = sK24(cons(sK67,nil))
    | ~ spl69_20 ),
    inference(resolution,[],[f1854,f464]) ).

fof(f2275,plain,
    ( ~ spl69_28
    | spl69_29
    | ~ spl69_22
    | ~ spl69_23 ),
    inference(avatar_split_clause,[],[f2237,f1906,f1902,f2272,f2268]) ).

fof(f2268,plain,
    ( spl69_28
  <=> rearsegP(sK19,cons(sK68,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_28])]) ).

fof(f2237,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ rearsegP(sK19,cons(sK68,sK19))
    | ~ spl69_22
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f2236,f375]) ).

fof(f2236,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ rearsegP(sK19,cons(sK68,sK19))
    | ~ ssList(sK19)
    | ~ spl69_22
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f2235,f1908]) ).

fof(f2235,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ rearsegP(sK19,cons(sK68,sK19))
    | ~ ssList(cons(sK68,sK19))
    | ~ ssList(sK19)
    | ~ spl69_22 ),
    inference(resolution,[],[f2229,f569]) ).

fof(f2229,plain,
    ( rearsegP(cons(sK68,sK19),sK19)
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2228,f375]) ).

fof(f2228,plain,
    ( rearsegP(cons(sK68,sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2220,f1903]) ).

fof(f2220,plain,
    ( rearsegP(cons(sK68,sK19),sK19)
    | ~ ssList(cons(sK68,nil))
    | ~ ssList(sK19) ),
    inference(superposition,[],[f2136,f1843]) ).

fof(f2266,plain,
    ( ~ spl69_26
    | spl69_27
    | ~ spl69_20
    | ~ spl69_21 ),
    inference(avatar_split_clause,[],[f2234,f1857,f1853,f2263,f2259]) ).

fof(f2259,plain,
    ( spl69_26
  <=> rearsegP(sK19,cons(sK67,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_26])]) ).

fof(f2234,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ rearsegP(sK19,cons(sK67,sK19))
    | ~ spl69_20
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f2233,f375]) ).

fof(f2233,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ rearsegP(sK19,cons(sK67,sK19))
    | ~ ssList(sK19)
    | ~ spl69_20
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f2232,f1859]) ).

fof(f2232,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ rearsegP(sK19,cons(sK67,sK19))
    | ~ ssList(cons(sK67,sK19))
    | ~ ssList(sK19)
    | ~ spl69_20 ),
    inference(resolution,[],[f2227,f569]) ).

fof(f2227,plain,
    ( rearsegP(cons(sK67,sK19),sK19)
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2226,f375]) ).

fof(f2226,plain,
    ( rearsegP(cons(sK67,sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2219,f1854]) ).

fof(f2219,plain,
    ( rearsegP(cons(sK67,sK19),sK19)
    | ~ ssList(cons(sK67,nil))
    | ~ ssList(sK19) ),
    inference(superposition,[],[f2136,f1842]) ).

fof(f2189,plain,
    ( ~ spl69_10
    | spl69_24 ),
    inference(avatar_contradiction_clause,[],[f2188]) ).

fof(f2188,plain,
    ( $false
    | ~ spl69_10
    | spl69_24 ),
    inference(subsumption_resolution,[],[f2187,f393]) ).

fof(f2187,plain,
    ( ~ ssList(nil)
    | ~ spl69_10
    | spl69_24 ),
    inference(subsumption_resolution,[],[f2186,f1441]) ).

fof(f2186,plain,
    ( ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | spl69_24 ),
    inference(resolution,[],[f2180,f555]) ).

fof(f2180,plain,
    ( ~ ssList(cons(hd(sK19),nil))
    | spl69_24 ),
    inference(avatar_component_clause,[],[f2178]) ).

fof(f2185,plain,
    ( ~ spl69_24
    | spl69_25
    | ~ spl69_10 ),
    inference(avatar_split_clause,[],[f2176,f1440,f2182,f2178]) ).

fof(f2176,plain,
    ( ssList(cons(hd(sK19),sK19))
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_10 ),
    inference(subsumption_resolution,[],[f2172,f375]) ).

fof(f2172,plain,
    ( ssList(cons(hd(sK19),sK19))
    | ~ ssList(sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_10 ),
    inference(superposition,[],[f565,f1823]) ).

fof(f1913,plain,
    spl69_22,
    inference(avatar_contradiction_clause,[],[f1912]) ).

fof(f1912,plain,
    ( $false
    | spl69_22 ),
    inference(subsumption_resolution,[],[f1911,f393]) ).

fof(f1911,plain,
    ( ~ ssList(nil)
    | spl69_22 ),
    inference(subsumption_resolution,[],[f1910,f600]) ).

fof(f1910,plain,
    ( ~ ssItem(sK68)
    | ~ ssList(nil)
    | spl69_22 ),
    inference(resolution,[],[f1904,f555]) ).

fof(f1904,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_22 ),
    inference(avatar_component_clause,[],[f1902]) ).

fof(f1909,plain,
    ( ~ spl69_22
    | spl69_23 ),
    inference(avatar_split_clause,[],[f1900,f1906,f1902]) ).

fof(f1864,plain,
    spl69_20,
    inference(avatar_contradiction_clause,[],[f1863]) ).

fof(f1863,plain,
    ( $false
    | spl69_20 ),
    inference(subsumption_resolution,[],[f1862,f393]) ).

fof(f1862,plain,
    ( ~ ssList(nil)
    | spl69_20 ),
    inference(subsumption_resolution,[],[f1861,f599]) ).

fof(f1861,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(nil)
    | spl69_20 ),
    inference(resolution,[],[f1855,f555]) ).

fof(f1855,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_20 ),
    inference(avatar_component_clause,[],[f1853]) ).

fof(f1860,plain,
    ( ~ spl69_20
    | spl69_21 ),
    inference(avatar_split_clause,[],[f1851,f1857,f1853]) ).

fof(f1771,plain,
    ( spl69_15
    | ~ spl69_18 ),
    inference(avatar_contradiction_clause,[],[f1770]) ).

fof(f1770,plain,
    ( $false
    | spl69_15
    | ~ spl69_18 ),
    inference(subsumption_resolution,[],[f1761,f608]) ).

fof(f1761,plain,
    ( ~ sP2(nil,hd(sK19))
    | spl69_15
    | ~ spl69_18 ),
    inference(superposition,[],[f1569,f1752]) ).

fof(f1752,plain,
    ( nil = tl(sK19)
    | ~ spl69_18 ),
    inference(avatar_component_clause,[],[f1750]) ).

fof(f1569,plain,
    ( ~ sP2(tl(sK19),hd(sK19))
    | spl69_15 ),
    inference(avatar_component_clause,[],[f1567]) ).

fof(f1567,plain,
    ( spl69_15
  <=> sP2(tl(sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_15])]) ).

fof(f1757,plain,
    ( spl69_18
    | spl69_19
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(avatar_split_clause,[],[f1746,f1479,f1440,f1354,f840,f1754,f1750]) ).

fof(f1754,plain,
    ( spl69_19
  <=> hd(tl(sK19)) = sK24(tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_19])]) ).

fof(f1746,plain,
    ( hd(tl(sK19)) = sK24(tl(sK19))
    | nil = tl(sK19)
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f1745,f1628]) ).

fof(f1745,plain,
    ( nil = tl(sK19)
    | hd(sK22(sK19)) = sK24(sK22(sK19))
    | spl69_5
    | ~ spl69_8
    | ~ spl69_10
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f1495,f1628]) ).

fof(f1495,plain,
    ( nil = sK22(sK19)
    | hd(sK22(sK19)) = sK24(sK22(sK19))
    | ~ spl69_12 ),
    inference(resolution,[],[f1480,f464]) ).

fof(f1605,plain,
    ( ~ spl69_10
    | ~ spl69_12
    | spl69_17 ),
    inference(avatar_contradiction_clause,[],[f1604]) ).

fof(f1604,plain,
    ( $false
    | ~ spl69_10
    | ~ spl69_12
    | spl69_17 ),
    inference(subsumption_resolution,[],[f1603,f1441]) ).

fof(f1603,plain,
    ( ~ ssItem(hd(sK19))
    | ~ spl69_12
    | spl69_17 ),
    inference(subsumption_resolution,[],[f1602,f1480]) ).

fof(f1602,plain,
    ( ~ ssList(sK22(sK19))
    | ~ ssItem(hd(sK19))
    | spl69_17 ),
    inference(resolution,[],[f1600,f445]) ).

fof(f1600,plain,
    ( ~ sP3(hd(sK19),sK22(sK19))
    | spl69_17 ),
    inference(avatar_component_clause,[],[f1598]) ).

fof(f1598,plain,
    ( spl69_17
  <=> sP3(hd(sK19),sK22(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_17])]) ).

fof(f1601,plain,
    ( ~ spl69_16
    | ~ spl69_17
    | spl69_5
    | spl69_6
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(avatar_split_clause,[],[f1561,f1479,f1354,f1175,f840,f1598,f1594]) ).

fof(f1594,plain,
    ( spl69_16
  <=> sP2(sK22(sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_16])]) ).

fof(f1175,plain,
    ( spl69_6
  <=> strictorderedP(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_6])]) ).

fof(f1561,plain,
    ( ~ sP3(hd(sK19),sK22(sK19))
    | ~ sP2(sK22(sK19),hd(sK19))
    | spl69_5
    | spl69_6
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f1560,f1525]) ).

fof(f1560,plain,
    ( ~ sP2(sK22(sK19),hd(sK19))
    | ~ sP3(sK23(sK19),sK22(sK19))
    | spl69_5
    | spl69_6
    | ~ spl69_8
    | ~ spl69_12 ),
    inference(forward_demodulation,[],[f1350,f1525]) ).

fof(f1350,plain,
    ( ~ sP2(sK22(sK19),sK23(sK19))
    | ~ sP3(sK23(sK19),sK22(sK19))
    | spl69_5
    | spl69_6 ),
    inference(subsumption_resolution,[],[f1345,f1177]) ).

fof(f1177,plain,
    ( ~ strictorderedP(sK19)
    | spl69_6 ),
    inference(avatar_component_clause,[],[f1175]) ).

fof(f1345,plain,
    ( strictorderedP(sK19)
    | ~ sP2(sK22(sK19),sK23(sK19))
    | ~ sP3(sK23(sK19),sK22(sK19))
    | spl69_5 ),
    inference(superposition,[],[f439,f1337]) ).

fof(f1576,plain,
    ( spl69_5
    | ~ spl69_10
    | spl69_14 ),
    inference(avatar_contradiction_clause,[],[f1575]) ).

fof(f1575,plain,
    ( $false
    | spl69_5
    | ~ spl69_10
    | spl69_14 ),
    inference(subsumption_resolution,[],[f1574,f375]) ).

fof(f1574,plain,
    ( ~ ssList(sK19)
    | spl69_5
    | ~ spl69_10
    | spl69_14 ),
    inference(subsumption_resolution,[],[f1573,f841]) ).

fof(f1573,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | ~ spl69_10
    | spl69_14 ),
    inference(resolution,[],[f1572,f461]) ).

fof(f1572,plain,
    ( ~ ssList(tl(sK19))
    | ~ spl69_10
    | spl69_14 ),
    inference(subsumption_resolution,[],[f1571,f1441]) ).

fof(f1571,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssItem(hd(sK19))
    | spl69_14 ),
    inference(resolution,[],[f1565,f445]) ).

fof(f1565,plain,
    ( ~ sP3(hd(sK19),tl(sK19))
    | spl69_14 ),
    inference(avatar_component_clause,[],[f1563]) ).

fof(f1563,plain,
    ( spl69_14
  <=> sP3(hd(sK19),tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_14])]) ).

fof(f1570,plain,
    ( ~ spl69_14
    | ~ spl69_15
    | spl69_5
    | spl69_6 ),
    inference(avatar_split_clause,[],[f1436,f1175,f840,f1567,f1563]) ).

fof(f1436,plain,
    ( ~ sP2(tl(sK19),hd(sK19))
    | ~ sP3(hd(sK19),tl(sK19))
    | spl69_5
    | spl69_6 ),
    inference(subsumption_resolution,[],[f1431,f1177]) ).

fof(f1431,plain,
    ( strictorderedP(sK19)
    | ~ sP2(tl(sK19),hd(sK19))
    | ~ sP3(hd(sK19),tl(sK19))
    | spl69_5 ),
    inference(superposition,[],[f439,f1423]) ).

fof(f1490,plain,
    ( spl69_5
    | spl69_12 ),
    inference(avatar_contradiction_clause,[],[f1489]) ).

fof(f1489,plain,
    ( $false
    | spl69_5
    | spl69_12 ),
    inference(subsumption_resolution,[],[f1488,f375]) ).

fof(f1488,plain,
    ( ~ ssList(sK19)
    | spl69_5
    | spl69_12 ),
    inference(subsumption_resolution,[],[f1487,f841]) ).

fof(f1487,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | spl69_12 ),
    inference(resolution,[],[f1481,f457]) ).

fof(f1481,plain,
    ( ~ ssList(sK22(sK19))
    | spl69_12 ),
    inference(avatar_component_clause,[],[f1479]) ).

fof(f1486,plain,
    ( ~ spl69_12
    | spl69_13
    | spl69_5
    | ~ spl69_8 ),
    inference(avatar_split_clause,[],[f1477,f1354,f840,f1483,f1479]) ).

fof(f1483,plain,
    ( spl69_13
  <=> memberP(sK19,sK23(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_13])]) ).

fof(f1477,plain,
    ( memberP(sK19,sK23(sK19))
    | ~ ssList(sK22(sK19))
    | spl69_5
    | ~ spl69_8 ),
    inference(subsumption_resolution,[],[f1349,f1355]) ).

fof(f1451,plain,
    ( spl69_5
    | spl69_10 ),
    inference(avatar_contradiction_clause,[],[f1450]) ).

fof(f1450,plain,
    ( $false
    | spl69_5
    | spl69_10 ),
    inference(subsumption_resolution,[],[f1449,f375]) ).

fof(f1449,plain,
    ( ~ ssList(sK19)
    | spl69_5
    | spl69_10 ),
    inference(subsumption_resolution,[],[f1448,f841]) ).

fof(f1448,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | spl69_10 ),
    inference(resolution,[],[f1442,f460]) ).

fof(f1442,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_10 ),
    inference(avatar_component_clause,[],[f1440]) ).

fof(f1447,plain,
    ( ~ spl69_10
    | ~ spl69_11
    | spl69_5 ),
    inference(avatar_split_clause,[],[f1438,f840,f1444,f1440]) ).

fof(f1444,plain,
    ( spl69_11
  <=> sK19 = tl(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_11])]) ).

fof(f1365,plain,
    ( spl69_5
    | spl69_8 ),
    inference(avatar_contradiction_clause,[],[f1364]) ).

fof(f1364,plain,
    ( $false
    | spl69_5
    | spl69_8 ),
    inference(subsumption_resolution,[],[f1363,f375]) ).

fof(f1363,plain,
    ( ~ ssList(sK19)
    | spl69_5
    | spl69_8 ),
    inference(subsumption_resolution,[],[f1362,f841]) ).

fof(f1362,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | spl69_8 ),
    inference(resolution,[],[f1356,f458]) ).

fof(f1356,plain,
    ( ~ ssItem(sK23(sK19))
    | spl69_8 ),
    inference(avatar_component_clause,[],[f1354]) ).

fof(f1361,plain,
    ( ~ spl69_8
    | ~ spl69_9
    | spl69_5 ),
    inference(avatar_split_clause,[],[f1352,f840,f1358,f1354]) ).

fof(f1358,plain,
    ( spl69_9
  <=> sK19 = sK22(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_9])]) ).

fof(f1212,plain,
    ( ~ spl69_5
    | spl69_6 ),
    inference(avatar_contradiction_clause,[],[f1211]) ).

fof(f1211,plain,
    ( $false
    | ~ spl69_5
    | spl69_6 ),
    inference(subsumption_resolution,[],[f1206,f392]) ).

fof(f1206,plain,
    ( ~ strictorderedP(nil)
    | ~ spl69_5
    | spl69_6 ),
    inference(superposition,[],[f1177,f842]) ).

fof(f842,plain,
    ( nil = sK19
    | ~ spl69_5 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f1209,plain,
    ( ~ spl69_3
    | ~ spl69_5 ),
    inference(avatar_contradiction_clause,[],[f1208]) ).

fof(f1208,plain,
    ( $false
    | ~ spl69_3
    | ~ spl69_5 ),
    inference(subsumption_resolution,[],[f1195,f1064]) ).

fof(f1064,plain,
    ( ~ neq(nil,nil)
    | ~ spl69_3 ),
    inference(superposition,[],[f384,f778]) ).

fof(f1195,plain,
    ( neq(nil,nil)
    | ~ spl69_5 ),
    inference(superposition,[],[f380,f842]) ).

fof(f1188,plain,
    ( spl69_5
    | spl69_7 ),
    inference(avatar_contradiction_clause,[],[f1187]) ).

fof(f1187,plain,
    ( $false
    | spl69_5
    | spl69_7 ),
    inference(subsumption_resolution,[],[f1186,f393]) ).

fof(f1186,plain,
    ( ~ ssList(nil)
    | spl69_5
    | spl69_7 ),
    inference(subsumption_resolution,[],[f1185,f375]) ).

fof(f1185,plain,
    ( ~ ssList(sK19)
    | ~ ssList(nil)
    | spl69_5
    | spl69_7 ),
    inference(subsumption_resolution,[],[f1183,f841]) ).

fof(f1183,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(nil)
    | spl69_7 ),
    inference(resolution,[],[f1181,f573]) ).

fof(f1181,plain,
    ( ~ neq(nil,sK19)
    | spl69_7 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f1179,plain,
    ( spl69_7
  <=> neq(nil,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_7])]) ).

fof(f1182,plain,
    ( ~ spl69_6
    | ~ spl69_7
    | ~ spl69_3 ),
    inference(avatar_split_clause,[],[f1173,f776,f1179,f1175]) ).

fof(f1173,plain,
    ( ~ neq(nil,sK19)
    | ~ strictorderedP(sK19)
    | ~ spl69_3 ),
    inference(subsumption_resolution,[],[f1169,f375]) ).

fof(f1169,plain,
    ( ~ neq(nil,sK19)
    | ~ strictorderedP(sK19)
    | ~ ssList(sK19)
    | ~ spl69_3 ),
    inference(duplicate_literal_removal,[],[f1167]) ).

fof(f1167,plain,
    ( ~ neq(nil,sK19)
    | ~ strictorderedP(sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_3 ),
    inference(resolution,[],[f1076,f451]) ).

fof(f1054,plain,
    spl69_3,
    inference(avatar_contradiction_clause,[],[f1053]) ).

fof(f1053,plain,
    ( $false
    | spl69_3 ),
    inference(subsumption_resolution,[],[f1052,f374]) ).

fof(f1052,plain,
    ( ~ ssList(sK18)
    | spl69_3 ),
    inference(subsumption_resolution,[],[f1051,f393]) ).

fof(f1051,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK18)
    | spl69_3 ),
    inference(subsumption_resolution,[],[f1046,f777]) ).

fof(f777,plain,
    ( nil != sK18
    | spl69_3 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f843,plain,
    ( spl69_4
    | spl69_5 ),
    inference(avatar_split_clause,[],[f802,f840,f836]) ).

fof(f836,plain,
    ( spl69_4
  <=> hd(sK19) = sK24(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).

fof(f779,plain,
    ( ~ spl69_1
    | ~ spl69_2
    | spl69_3 ),
    inference(avatar_split_clause,[],[f762,f776,f772,f768]) ).

fof(f768,plain,
    ( spl69_1
  <=> ssItem(sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).

fof(f772,plain,
    ( spl69_2
  <=> ssItem(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC214+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:34:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (32157)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (32160)WARNING: value z3 for option sas not known
% 0.14/0.37  % (32158)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (32159)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (32160)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)
% 0.14/0.37  % (32161)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (32163)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)
% 0.14/0.37  % (32164)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)
% 0.14/0.37  % (32162)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)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.14/0.40  TRYING [3]
% 0.20/0.41  TRYING [3]
% 0.20/0.45  TRYING [4]
% 0.20/0.46  TRYING [4]
% 0.20/0.54  TRYING [5]
% 0.20/0.57  TRYING [5]
% 2.69/0.74  TRYING [6]
% 3.22/0.81  TRYING [6]
% 5.32/1.14  TRYING [7]
% 6.77/1.31  TRYING [7]
% 7.95/1.48  TRYING [1]
% 7.95/1.48  TRYING [2]
% 7.95/1.49  TRYING [3]
% 8.25/1.52  TRYING [4]
% 8.31/1.60  % (32160)First to succeed.
% 8.89/1.61  TRYING [5]
% 8.89/1.63  % (32160)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32157"
% 8.89/1.64  % (32160)Refutation found. Thanks to Tanya!
% 8.89/1.64  % SZS status Theorem for theBenchmark
% 8.89/1.64  % SZS output start Proof for theBenchmark
% See solution above
% 8.89/1.65  % (32160)------------------------------
% 8.89/1.65  % (32160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.89/1.65  % (32160)Termination reason: Refutation
% 8.89/1.65  
% 8.89/1.65  % (32160)Memory used [KB]: 14858
% 8.89/1.65  % (32160)Time elapsed: 1.262 s
% 8.89/1.65  % (32160)Instructions burned: 4445 (million)
% 8.89/1.65  % (32157)Success in time 1.279 s
%------------------------------------------------------------------------------