TSTP Solution File: SWC122+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC122+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 : n021.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 04:48:07 EDT 2024

% Result   : Theorem 2.01s 0.67s
% Output   : Refutation 2.32s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f7308,plain,
    $false,
    inference(avatar_sat_refutation,[],[f651,f656,f671,f1543,f1547,f1633,f1705,f1709,f1724,f1728,f1748,f1752,f1767,f1771,f2006,f2010,f2197,f2452,f2456,f2523,f2527,f2934,f2943,f3045,f3050,f3252,f3257,f3419,f3424,f3481,f3626,f4002,f4182,f5151,f5156,f5422,f5426,f5599,f5603,f6078,f6215,f6220,f6233,f6415,f6419,f6992,f7048,f7051,f7061,f7070,f7073,f7307]) ).

fof(f7307,plain,
    ( spl69_2
    | ~ spl69_27 ),
    inference(avatar_contradiction_clause,[],[f7306]) ).

fof(f7306,plain,
    ( $false
    | spl69_2
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f7305,f375]) ).

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

fof(f254,plain,
    ( ( ( rearsegP(sK21,sK20)
        & neq(sK20,nil) )
      | ~ neq(sK21,nil) )
    & ( ~ segmentP(sK19,sK18)
      | ~ neq(sK18,nil) )
    & ( nil != sK21
      | nil = 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] :
                    ( ( ( rearsegP(X3,X2)
                        & neq(X2,nil) )
                      | ~ neq(X3,nil) )
                    & ( ~ segmentP(X1,X0)
                      | ~ neq(X0,nil) )
                    & ( nil != X3
                      | nil = X2 )
                    & neq(X1,nil)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( rearsegP(X3,X2)
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( ~ segmentP(X1,sK18)
                    | ~ neq(sK18,nil) )
                  & ( nil != X3
                    | nil = 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] :
                ( ( ( rearsegP(X3,X2)
                    & neq(X2,nil) )
                  | ~ neq(X3,nil) )
                & ( ~ segmentP(X1,sK18)
                  | ~ neq(sK18,nil) )
                & ( nil != X3
                  | nil = X2 )
                & neq(X1,nil)
                & sK18 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( rearsegP(X3,X2)
                  & neq(X2,nil) )
                | ~ neq(X3,nil) )
              & ( ~ segmentP(sK19,sK18)
                | ~ neq(sK18,nil) )
              & ( nil != X3
                | nil = X2 )
              & neq(sK19,nil)
              & sK18 = X2
              & sK19 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK19) ) ),
    introduced(choice_axiom,[]) ).

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

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

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( rearsegP(X3,X2)
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( ~ segmentP(X1,X0)
                    | ~ neq(X0,nil) )
                  & ( nil != X3
                    | nil = 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] :
                  ( ( ( rearsegP(X3,X2)
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( ~ segmentP(X1,X0)
                    | ~ neq(X0,nil) )
                  & ( nil != X3
                    | nil = 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)
                   => ( ( ( ~ rearsegP(X3,X2)
                          | ~ neq(X2,nil) )
                        & neq(X3,nil) )
                      | ( segmentP(X1,X0)
                        & neq(X0,nil) )
                      | ( nil = X3
                        & nil != 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)
                 => ( ( ( ~ rearsegP(X3,X2)
                        | ~ neq(X2,nil) )
                      & neq(X3,nil) )
                    | ( segmentP(X1,X0)
                      & neq(X0,nil) )
                    | ( nil = X3
                      & nil != X2 )
                    | ~ neq(X1,nil)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f7305,plain,
    ( ~ ssList(sK19)
    | spl69_2
    | ~ spl69_27 ),
    inference(forward_demodulation,[],[f7304,f688]) ).

fof(f688,plain,
    sK19 = app(sK19,nil),
    inference(resolution,[],[f455,f375]) ).

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/sandbox2/benchmark/theBenchmark.p',ax84) ).

fof(f7304,plain,
    ( ~ ssList(app(sK19,nil))
    | spl69_2
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f7303,f393]) ).

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

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f7303,plain,
    ( ~ ssList(app(sK19,nil))
    | ~ ssList(nil)
    | spl69_2
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f7296,f650]) ).

fof(f650,plain,
    ( ~ segmentP(sK19,sK18)
    | spl69_2 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f648,plain,
    ( spl69_2
  <=> segmentP(sK19,sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).

fof(f7296,plain,
    ( segmentP(sK19,sK18)
    | ~ ssList(app(sK19,nil))
    | ~ ssList(nil)
    | ~ spl69_27 ),
    inference(superposition,[],[f7233,f688]) ).

fof(f7233,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,X0),sK18)
        | ~ ssList(app(sK19,X0))
        | ~ ssList(X0) )
    | ~ spl69_27 ),
    inference(forward_demodulation,[],[f7232,f3026]) ).

fof(f3026,plain,
    sK19 = app(sK66(sK19,sK18),sK18),
    inference(subsumption_resolution,[],[f3025,f375]) ).

fof(f3025,plain,
    ( sK19 = app(sK66(sK19,sK18),sK18)
    | ~ ssList(sK19) ),
    inference(subsumption_resolution,[],[f3013,f374]) ).

fof(f374,plain,
    ssList(sK18),
    inference(cnf_transformation,[],[f254]) ).

fof(f3013,plain,
    ( sK19 = app(sK66(sK19,sK18),sK18)
    | ~ ssList(sK18)
    | ~ ssList(sK19) ),
    inference(resolution,[],[f582,f662]) ).

fof(f662,plain,
    rearsegP(sK19,sK18),
    inference(subsumption_resolution,[],[f661,f380]) ).

fof(f380,plain,
    neq(sK19,nil),
    inference(cnf_transformation,[],[f254]) ).

fof(f661,plain,
    ( ~ neq(sK19,nil)
    | rearsegP(sK19,sK18) ),
    inference(forward_demodulation,[],[f660,f378]) ).

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

fof(f660,plain,
    ( rearsegP(sK19,sK18)
    | ~ neq(sK21,nil) ),
    inference(forward_demodulation,[],[f659,f378]) ).

fof(f659,plain,
    ( rearsegP(sK21,sK18)
    | ~ neq(sK21,nil) ),
    inference(forward_demodulation,[],[f384,f379]) ).

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

fof(f384,plain,
    ( rearsegP(sK21,sK20)
    | ~ neq(sK21,nil) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f582,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | app(sK66(X0,X1),X1) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f368]) ).

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

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

fof(f366,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,[],[f365]) ).

fof(f365,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,[],[f201]) ).

fof(f201,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/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f7232,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,X0),sK18)
        | ~ ssList(X0)
        | ~ ssList(app(app(sK66(sK19,sK18),sK18),X0)) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f7231,f374]) ).

fof(f7231,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,X0),sK18)
        | ~ ssList(X0)
        | ~ ssList(sK18)
        | ~ ssList(app(app(sK66(sK19,sK18),sK18),X0)) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f7122,f3039]) ).

fof(f3039,plain,
    ( ssList(sK66(sK19,sK18))
    | ~ spl69_27 ),
    inference(avatar_component_clause,[],[f3038]) ).

fof(f3038,plain,
    ( spl69_27
  <=> ssList(sK66(sK19,sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_27])]) ).

fof(f7122,plain,
    ! [X0] :
      ( segmentP(app(sK19,X0),sK18)
      | ~ ssList(X0)
      | ~ ssList(sK66(sK19,sK18))
      | ~ ssList(sK18)
      | ~ ssList(app(app(sK66(sK19,sK18),sK18),X0)) ),
    inference(superposition,[],[f625,f3026]) ).

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/sandbox2/benchmark/theBenchmark.p',ax7) ).

fof(f7073,plain,
    ~ spl69_55,
    inference(avatar_contradiction_clause,[],[f7072]) ).

fof(f7072,plain,
    ( $false
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f7071,f393]) ).

fof(f7071,plain,
    ( ~ ssList(nil)
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f7044,f599]) ).

fof(f599,plain,
    ssItem(sK67),
    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/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f7044,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_55 ),
    inference(trivial_inequality_removal,[],[f7032]) ).

fof(f7032,plain,
    ( nil != nil
    | ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_55 ),
    inference(superposition,[],[f557,f6987]) ).

fof(f6987,plain,
    ( nil = cons(sK67,nil)
    | ~ spl69_55 ),
    inference(avatar_component_clause,[],[f6985]) ).

fof(f6985,plain,
    ( spl69_55
  <=> nil = cons(sK67,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_55])]) ).

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/sandbox2/benchmark/theBenchmark.p',ax18) ).

fof(f7070,plain,
    ~ spl69_55,
    inference(avatar_contradiction_clause,[],[f7069]) ).

fof(f7069,plain,
    ( $false
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f7068,f393]) ).

fof(f7068,plain,
    ( ~ ssList(nil)
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f7045,f599]) ).

fof(f7045,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_55 ),
    inference(trivial_inequality_removal,[],[f7031]) ).

fof(f7031,plain,
    ( nil != nil
    | ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_55 ),
    inference(superposition,[],[f556,f6987]) ).

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/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(f7061,plain,
    ( ~ spl69_19
    | ~ spl69_55 ),
    inference(avatar_contradiction_clause,[],[f7060]) ).

fof(f7060,plain,
    ( $false
    | ~ spl69_19
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f7059,f2446]) ).

fof(f2446,plain,
    ( ssList(cons(sK67,nil))
    | ~ spl69_19 ),
    inference(avatar_component_clause,[],[f2445]) ).

fof(f2445,plain,
    ( spl69_19
  <=> ssList(cons(sK67,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_19])]) ).

fof(f7059,plain,
    ( ~ ssList(cons(sK67,nil))
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f7058,f599]) ).

fof(f7058,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(cons(sK67,nil))
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f7019,f385]) ).

fof(f385,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).

fof(f7019,plain,
    ( singletonP(nil)
    | ~ ssItem(sK67)
    | ~ ssList(cons(sK67,nil))
    | ~ spl69_55 ),
    inference(superposition,[],[f610,f6987]) ).

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/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f7051,plain,
    ( spl69_38
    | ~ spl69_55 ),
    inference(avatar_contradiction_clause,[],[f7050]) ).

fof(f7050,plain,
    ( $false
    | spl69_38
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f7049,f4000]) ).

fof(f4000,plain,
    ( sK19 != cons(sK67,sK19)
    | spl69_38 ),
    inference(avatar_component_clause,[],[f3999]) ).

fof(f3999,plain,
    ( spl69_38
  <=> sK19 = cons(sK67,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_38])]) ).

fof(f7049,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ spl69_55 ),
    inference(forward_demodulation,[],[f7005,f715]) ).

fof(f715,plain,
    sK19 = app(nil,sK19),
    inference(resolution,[],[f456,f375]) ).

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/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f7005,plain,
    ( app(nil,sK19) = cons(sK67,sK19)
    | ~ spl69_55 ),
    inference(superposition,[],[f3675,f6987]) ).

fof(f3675,plain,
    cons(sK67,sK19) = app(cons(sK67,nil),sK19),
    inference(resolution,[],[f1963,f599]) ).

fof(f1963,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,sK19) = app(cons(X0,nil),sK19) ),
    inference(resolution,[],[f560,f375]) ).

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/sandbox2/benchmark/theBenchmark.p',ax81) ).

fof(f7048,plain,
    ( spl69_24
    | ~ spl69_55 ),
    inference(avatar_contradiction_clause,[],[f7047]) ).

fof(f7047,plain,
    ( $false
    | spl69_24
    | ~ spl69_55 ),
    inference(subsumption_resolution,[],[f7046,f2932]) ).

fof(f2932,plain,
    ( sK18 != cons(sK67,sK18)
    | spl69_24 ),
    inference(avatar_component_clause,[],[f2931]) ).

fof(f2931,plain,
    ( spl69_24
  <=> sK18 = cons(sK67,sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_24])]) ).

fof(f7046,plain,
    ( sK18 = cons(sK67,sK18)
    | ~ spl69_55 ),
    inference(forward_demodulation,[],[f6995,f714]) ).

fof(f714,plain,
    sK18 = app(nil,sK18),
    inference(resolution,[],[f456,f374]) ).

fof(f6995,plain,
    ( app(nil,sK18) = cons(sK67,sK18)
    | ~ spl69_55 ),
    inference(superposition,[],[f2430,f6987]) ).

fof(f2430,plain,
    cons(sK67,sK18) = app(cons(sK67,nil),sK18),
    inference(resolution,[],[f1962,f599]) ).

fof(f1962,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,sK18) = app(cons(X0,nil),sK18) ),
    inference(resolution,[],[f560,f374]) ).

fof(f6992,plain,
    ( spl69_55
    | spl69_56
    | ~ spl69_19 ),
    inference(avatar_split_clause,[],[f2473,f2445,f6989,f6985]) ).

fof(f6989,plain,
    ( spl69_56
  <=> sK67 = sK24(cons(sK67,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_56])]) ).

fof(f2473,plain,
    ( sK67 = sK24(cons(sK67,nil))
    | nil = cons(sK67,nil)
    | ~ spl69_19 ),
    inference(forward_demodulation,[],[f2461,f1132]) ).

fof(f1132,plain,
    sK67 = hd(cons(sK67,nil)),
    inference(resolution,[],[f964,f599]) ).

fof(f964,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,nil)) = X0 ),
    inference(resolution,[],[f559,f393]) ).

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/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(f2461,plain,
    ( nil = cons(sK67,nil)
    | hd(cons(sK67,nil)) = sK24(cons(sK67,nil))
    | ~ spl69_19 ),
    inference(resolution,[],[f2446,f464]) ).

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/sandbox2/benchmark/theBenchmark.p',ax75) ).

fof(f6419,plain,
    ( spl69_3
    | ~ spl69_9
    | ~ spl69_43
    | ~ spl69_51
    | spl69_53 ),
    inference(avatar_contradiction_clause,[],[f6418]) ).

fof(f6418,plain,
    ( $false
    | spl69_3
    | ~ spl69_9
    | ~ spl69_43
    | ~ spl69_51
    | spl69_53 ),
    inference(subsumption_resolution,[],[f6417,f375]) ).

fof(f6417,plain,
    ( ~ ssList(sK19)
    | spl69_3
    | ~ spl69_9
    | ~ spl69_43
    | ~ spl69_51
    | spl69_53 ),
    inference(subsumption_resolution,[],[f6416,f6286]) ).

fof(f6286,plain,
    ( singletonP(sK19)
    | spl69_3
    | ~ spl69_9
    | ~ spl69_43
    | ~ spl69_51 ),
    inference(subsumption_resolution,[],[f6285,f5416]) ).

fof(f5416,plain,
    ( ssList(cons(hd(sK19),nil))
    | ~ spl69_43 ),
    inference(avatar_component_clause,[],[f5415]) ).

fof(f5415,plain,
    ( spl69_43
  <=> ssList(cons(hd(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_43])]) ).

fof(f6285,plain,
    ( singletonP(sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_3
    | ~ spl69_9
    | ~ spl69_51 ),
    inference(subsumption_resolution,[],[f6261,f1718]) ).

fof(f1718,plain,
    ( ssItem(hd(sK19))
    | ~ spl69_9 ),
    inference(avatar_component_clause,[],[f1717]) ).

fof(f1717,plain,
    ( spl69_9
  <=> ssItem(hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_9])]) ).

fof(f6261,plain,
    ( singletonP(sK19)
    | ~ ssItem(hd(sK19))
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_3
    | ~ spl69_51 ),
    inference(superposition,[],[f610,f6234]) ).

fof(f6234,plain,
    ( sK19 = cons(hd(sK19),nil)
    | spl69_3
    | ~ spl69_51 ),
    inference(superposition,[],[f1626,f6228]) ).

fof(f6228,plain,
    ( nil = tl(sK19)
    | ~ spl69_51 ),
    inference(avatar_component_clause,[],[f6226]) ).

fof(f6226,plain,
    ( spl69_51
  <=> nil = tl(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_51])]) ).

fof(f1626,plain,
    ( sK19 = cons(hd(sK19),tl(sK19))
    | spl69_3 ),
    inference(subsumption_resolution,[],[f1594,f672]) ).

fof(f672,plain,
    ( nil != sK19
    | spl69_3 ),
    inference(superposition,[],[f666,f378]) ).

fof(f666,plain,
    ( nil != sK21
    | spl69_3 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f664,plain,
    ( spl69_3
  <=> nil = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).

fof(f1594,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/sandbox2/benchmark/theBenchmark.p',ax78) ).

fof(f6416,plain,
    ( ~ singletonP(sK19)
    | ~ ssList(sK19)
    | spl69_53 ),
    inference(resolution,[],[f6410,f467]) ).

fof(f467,plain,
    ! [X0] :
      ( ssItem(sK26(X0))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f6410,plain,
    ( ~ ssItem(sK26(sK19))
    | spl69_53 ),
    inference(avatar_component_clause,[],[f6408]) ).

fof(f6408,plain,
    ( spl69_53
  <=> ssItem(sK26(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_53])]) ).

fof(f6415,plain,
    ( ~ spl69_53
    | spl69_54
    | spl69_3
    | ~ spl69_9
    | ~ spl69_43
    | ~ spl69_51 ),
    inference(avatar_split_clause,[],[f6395,f6226,f5415,f1717,f664,f6412,f6408]) ).

fof(f6412,plain,
    ( spl69_54
  <=> memberP(sK19,sK26(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_54])]) ).

fof(f6395,plain,
    ( memberP(sK19,sK26(sK19))
    | ~ ssItem(sK26(sK19))
    | spl69_3
    | ~ spl69_9
    | ~ spl69_43
    | ~ spl69_51 ),
    inference(subsumption_resolution,[],[f6385,f393]) ).

fof(f6385,plain,
    ( memberP(sK19,sK26(sK19))
    | ~ ssList(nil)
    | ~ ssItem(sK26(sK19))
    | spl69_3
    | ~ spl69_9
    | ~ spl69_43
    | ~ spl69_51 ),
    inference(superposition,[],[f633,f6352]) ).

fof(f6352,plain,
    ( sK19 = cons(sK26(sK19),nil)
    | spl69_3
    | ~ spl69_9
    | ~ spl69_43
    | ~ spl69_51 ),
    inference(subsumption_resolution,[],[f6347,f375]) ).

fof(f6347,plain,
    ( sK19 = cons(sK26(sK19),nil)
    | ~ ssList(sK19)
    | spl69_3
    | ~ spl69_9
    | ~ spl69_43
    | ~ spl69_51 ),
    inference(resolution,[],[f6286,f468]) ).

fof(f468,plain,
    ! [X0] :
      ( ~ singletonP(X0)
      | cons(sK26(X0),nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f284]) ).

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(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/sandbox2/benchmark/theBenchmark.p',ax37) ).

fof(f6233,plain,
    ( spl69_51
    | spl69_52
    | spl69_3
    | ~ spl69_7
    | ~ spl69_9
    | ~ spl69_15 ),
    inference(avatar_split_clause,[],[f5323,f1999,f1717,f1698,f664,f6230,f6226]) ).

fof(f6230,plain,
    ( spl69_52
  <=> hd(tl(sK19)) = sK24(tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_52])]) ).

fof(f1698,plain,
    ( spl69_7
  <=> ssItem(sK23(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_7])]) ).

fof(f1999,plain,
    ( spl69_15
  <=> ssList(sK22(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_15])]) ).

fof(f5323,plain,
    ( hd(tl(sK19)) = sK24(tl(sK19))
    | nil = tl(sK19)
    | spl69_3
    | ~ spl69_7
    | ~ spl69_9
    | ~ spl69_15 ),
    inference(forward_demodulation,[],[f5322,f2255]) ).

fof(f2255,plain,
    ( tl(sK19) = sK22(sK19)
    | spl69_3
    | ~ spl69_7
    | ~ spl69_9
    | ~ spl69_15 ),
    inference(forward_demodulation,[],[f2232,f2060]) ).

fof(f2060,plain,
    ( sK19 = cons(hd(sK19),sK22(sK19))
    | spl69_3
    | ~ spl69_7
    | ~ spl69_15 ),
    inference(superposition,[],[f1509,f2057]) ).

fof(f2057,plain,
    ( hd(sK19) = sK23(sK19)
    | spl69_3
    | ~ spl69_7
    | ~ spl69_15 ),
    inference(forward_demodulation,[],[f2037,f1509]) ).

fof(f2037,plain,
    ( sK23(sK19) = hd(cons(sK23(sK19),sK22(sK19)))
    | ~ spl69_7
    | ~ spl69_15 ),
    inference(resolution,[],[f2018,f1699]) ).

fof(f1699,plain,
    ( ssItem(sK23(sK19))
    | ~ spl69_7 ),
    inference(avatar_component_clause,[],[f1698]) ).

fof(f2018,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK22(sK19))) = X0 )
    | ~ spl69_15 ),
    inference(resolution,[],[f2000,f559]) ).

fof(f2000,plain,
    ( ssList(sK22(sK19))
    | ~ spl69_15 ),
    inference(avatar_component_clause,[],[f1999]) ).

fof(f1509,plain,
    ( sK19 = cons(sK23(sK19),sK22(sK19))
    | spl69_3 ),
    inference(subsumption_resolution,[],[f1476,f672]) ).

fof(f1476,plain,
    ( nil = sK19
    | sK19 = cons(sK23(sK19),sK22(sK19)) ),
    inference(resolution,[],[f459,f375]) ).

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/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f2232,plain,
    ( sK22(sK19) = tl(cons(hd(sK19),sK22(sK19)))
    | ~ spl69_9
    | ~ spl69_15 ),
    inference(resolution,[],[f2017,f1718]) ).

fof(f2017,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | sK22(sK19) = tl(cons(X0,sK22(sK19))) )
    | ~ spl69_15 ),
    inference(resolution,[],[f2000,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/sandbox2/benchmark/theBenchmark.p',ax25) ).

fof(f5322,plain,
    ( nil = tl(sK19)
    | hd(sK22(sK19)) = sK24(sK22(sK19))
    | spl69_3
    | ~ spl69_7
    | ~ spl69_9
    | ~ spl69_15 ),
    inference(forward_demodulation,[],[f2015,f2255]) ).

fof(f2015,plain,
    ( nil = sK22(sK19)
    | hd(sK22(sK19)) = sK24(sK22(sK19))
    | ~ spl69_15 ),
    inference(resolution,[],[f2000,f464]) ).

fof(f6220,plain,
    ( spl69_4
    | ~ spl69_11
    | ~ spl69_45
    | ~ spl69_47
    | spl69_49 ),
    inference(avatar_contradiction_clause,[],[f6219]) ).

fof(f6219,plain,
    ( $false
    | spl69_4
    | ~ spl69_11
    | ~ spl69_45
    | ~ spl69_47
    | spl69_49 ),
    inference(subsumption_resolution,[],[f6218,f374]) ).

fof(f6218,plain,
    ( ~ ssList(sK18)
    | spl69_4
    | ~ spl69_11
    | ~ spl69_45
    | ~ spl69_47
    | spl69_49 ),
    inference(subsumption_resolution,[],[f6217,f6131]) ).

fof(f6131,plain,
    ( singletonP(sK18)
    | spl69_4
    | ~ spl69_11
    | ~ spl69_45
    | ~ spl69_47 ),
    inference(subsumption_resolution,[],[f6130,f5593]) ).

fof(f5593,plain,
    ( ssList(cons(hd(sK18),nil))
    | ~ spl69_45 ),
    inference(avatar_component_clause,[],[f5592]) ).

fof(f5592,plain,
    ( spl69_45
  <=> ssList(cons(hd(sK18),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_45])]) ).

fof(f6130,plain,
    ( singletonP(sK18)
    | ~ ssList(cons(hd(sK18),nil))
    | spl69_4
    | ~ spl69_11
    | ~ spl69_47 ),
    inference(subsumption_resolution,[],[f6106,f1742]) ).

fof(f1742,plain,
    ( ssItem(hd(sK18))
    | ~ spl69_11 ),
    inference(avatar_component_clause,[],[f1741]) ).

fof(f1741,plain,
    ( spl69_11
  <=> ssItem(hd(sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_11])]) ).

fof(f6106,plain,
    ( singletonP(sK18)
    | ~ ssItem(hd(sK18))
    | ~ ssList(cons(hd(sK18),nil))
    | spl69_4
    | ~ spl69_47 ),
    inference(superposition,[],[f610,f6079]) ).

fof(f6079,plain,
    ( sK18 = cons(hd(sK18),nil)
    | spl69_4
    | ~ spl69_47 ),
    inference(superposition,[],[f1635,f6073]) ).

fof(f6073,plain,
    ( nil = tl(sK18)
    | ~ spl69_47 ),
    inference(avatar_component_clause,[],[f6071]) ).

fof(f6071,plain,
    ( spl69_47
  <=> nil = tl(sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_47])]) ).

fof(f1635,plain,
    ( sK18 = cons(hd(sK18),tl(sK18))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f1570,f850,f1573,f810,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634]) ).

fof(f1634,plain,
    ( sK18 = cons(hd(sK18),tl(sK18))
    | nil = sK18 ),
    inference(forward_demodulation,[],[f1627,f379]) ).

fof(f1627,plain,
    ( nil = sK18
    | sK20 = cons(hd(sK20),tl(sK20)) ),
    inference(forward_demodulation,[],[f1595,f379]) ).

fof(f1595,plain,
    ( nil = sK20
    | sK20 = cons(hd(sK20),tl(sK20)) ),
    inference(resolution,[],[f462,f376]) ).

fof(f1624,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f581]) ).

fof(f1623,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(f1622,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(f1621,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK63(X0,X1) = cons(hd(sK63(X0,X1)),tl(sK63(X0,X1)))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f574]) ).

fof(f1620,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(f1619,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(f1618,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK60(X0) = cons(hd(sK60(X0)),tl(sK60(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f462,f545]) ).

fof(f1617,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK59(X0) = cons(hd(sK59(X0)),tl(sK59(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f462,f544]) ).

fof(f1616,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK58(X0) = cons(hd(sK58(X0)),tl(sK58(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f462,f543]) ).

fof(f1615,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK55(X0) = cons(hd(sK55(X0)),tl(sK55(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f462,f534]) ).

fof(f1614,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK54(X0) = cons(hd(sK54(X0)),tl(sK54(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f462,f533]) ).

fof(f1613,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK53(X0) = cons(hd(sK53(X0)),tl(sK53(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f462,f532]) ).

fof(f1612,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK50(X0) = cons(hd(sK50(X0)),tl(sK50(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f462,f522]) ).

fof(f1611,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK49(X0) = cons(hd(sK49(X0)),tl(sK49(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f462,f521]) ).

fof(f1610,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK48(X0) = cons(hd(sK48(X0)),tl(sK48(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f462,f520]) ).

fof(f1609,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK45(X0) = cons(hd(sK45(X0)),tl(sK45(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f462,f510]) ).

fof(f1608,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK44(X0) = cons(hd(sK44(X0)),tl(sK44(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f462,f509]) ).

fof(f1607,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK43(X0) = cons(hd(sK43(X0)),tl(sK43(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f462,f508]) ).

fof(f1606,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK40(X0) = cons(hd(sK40(X0)),tl(sK40(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f462,f498]) ).

fof(f1605,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK39(X0) = cons(hd(sK39(X0)),tl(sK39(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f462,f497]) ).

fof(f1604,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK38(X0) = cons(hd(sK38(X0)),tl(sK38(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f462,f496]) ).

fof(f1603,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK35(X0) = cons(hd(sK35(X0)),tl(sK35(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f462,f487]) ).

fof(f1602,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK34(X0) = cons(hd(sK34(X0)),tl(sK34(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f462,f486]) ).

fof(f1601,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK33(X0) = cons(hd(sK33(X0)),tl(sK33(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f462,f485]) ).

fof(f1600,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK30(X0) = cons(hd(sK30(X0)),tl(sK30(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f462,f476]) ).

fof(f1599,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK29(X0) = cons(hd(sK29(X0)),tl(sK29(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f462,f475]) ).

fof(f1598,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK25(X0) = cons(hd(sK25(X0)),tl(sK25(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f465]) ).

fof(f1597,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK22(X0) = cons(hd(sK22(X0)),tl(sK22(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f457]) ).

fof(f1592,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f462,f461]) ).

fof(f1590,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(f1625,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1589,f556]) ).

fof(f1589,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(f810,plain,
    ( nil = sK18
    | hd(sK18) = sK24(sK18) ),
    inference(resolution,[],[f464,f374]) ).

fof(f1573,plain,
    ( hd(sK18) = sK24(sK18)
    | nil = sK18 ),
    inference(forward_demodulation,[],[f839,f379]) ).

fof(f839,plain,
    ( nil = sK18
    | hd(sK20) = sK24(sK20) ),
    inference(forward_demodulation,[],[f812,f379]) ).

fof(f812,plain,
    ( nil = sK20
    | hd(sK20) = sK24(sK20) ),
    inference(resolution,[],[f464,f376]) ).

fof(f850,plain,
    ( nil = sK18
    | tl(sK18) = sK25(sK18) ),
    inference(resolution,[],[f466,f374]) ).

fof(f1570,plain,
    ( tl(sK18) = sK25(sK18)
    | nil = sK18 ),
    inference(forward_demodulation,[],[f879,f379]) ).

fof(f879,plain,
    ( nil = sK18
    | tl(sK20) = sK25(sK20) ),
    inference(forward_demodulation,[],[f852,f379]) ).

fof(f852,plain,
    ( nil = sK20
    | tl(sK20) = sK25(sK20) ),
    inference(resolution,[],[f466,f376]) ).

fof(f1172,plain,
    ( nil = sK18
    | sK18 = tl(cons(hd(sK18),sK18)) ),
    inference(resolution,[],[f918,f374]) ).

fof(f1567,plain,
    ( sK18 = tl(cons(hd(sK18),sK18))
    | nil = sK18 ),
    inference(forward_demodulation,[],[f1207,f379]) ).

fof(f1207,plain,
    ( nil = sK18
    | sK18 = tl(cons(hd(sK20),sK18)) ),
    inference(forward_demodulation,[],[f1174,f379]) ).

fof(f1174,plain,
    ( nil = sK20
    | sK18 = tl(cons(hd(sK20),sK18)) ),
    inference(resolution,[],[f918,f376]) ).

fof(f1227,plain,
    ( nil = sK18
    | sK18 = tl(cons(sK23(sK18),sK18)) ),
    inference(resolution,[],[f919,f374]) ).

fof(f1564,plain,
    ( sK18 = tl(cons(sK23(sK18),sK18))
    | nil = sK18 ),
    inference(forward_demodulation,[],[f1262,f379]) ).

fof(f1262,plain,
    ( nil = sK18
    | sK18 = tl(cons(sK23(sK20),sK18)) ),
    inference(forward_demodulation,[],[f1229,f379]) ).

fof(f1229,plain,
    ( nil = sK20
    | sK18 = tl(cons(sK23(sK20),sK18)) ),
    inference(resolution,[],[f919,f376]) ).

fof(f1273,plain,
    ( nil = sK18
    | sK18 = tl(cons(sK24(sK18),sK18)) ),
    inference(resolution,[],[f920,f374]) ).

fof(f1561,plain,
    ( sK18 = tl(cons(sK24(sK18),sK18))
    | nil = sK18 ),
    inference(forward_demodulation,[],[f1310,f379]) ).

fof(f1310,plain,
    ( nil = sK18
    | sK18 = tl(cons(sK24(sK20),sK18)) ),
    inference(forward_demodulation,[],[f1275,f379]) ).

fof(f1275,plain,
    ( nil = sK20
    | sK18 = tl(cons(sK24(sK20),sK18)) ),
    inference(resolution,[],[f920,f376]) ).

fof(f1321,plain,
    ( nil = sK18
    | sK19 = tl(cons(hd(sK18),sK19)) ),
    inference(resolution,[],[f940,f374]) ).

fof(f1558,plain,
    ( sK19 = tl(cons(hd(sK18),sK19))
    | nil = sK18 ),
    inference(forward_demodulation,[],[f1356,f379]) ).

fof(f1356,plain,
    ( nil = sK18
    | sK19 = tl(cons(hd(sK20),sK19)) ),
    inference(forward_demodulation,[],[f1323,f379]) ).

fof(f1323,plain,
    ( nil = sK20
    | sK19 = tl(cons(hd(sK20),sK19)) ),
    inference(resolution,[],[f940,f376]) ).

fof(f1375,plain,
    ( nil = sK18
    | sK19 = tl(cons(sK23(sK18),sK19)) ),
    inference(resolution,[],[f941,f374]) ).

fof(f1555,plain,
    ( sK19 = tl(cons(sK23(sK18),sK19))
    | nil = sK18 ),
    inference(forward_demodulation,[],[f1410,f379]) ).

fof(f1410,plain,
    ( nil = sK18
    | sK19 = tl(cons(sK23(sK20),sK19)) ),
    inference(forward_demodulation,[],[f1377,f379]) ).

fof(f1377,plain,
    ( nil = sK20
    | sK19 = tl(cons(sK23(sK20),sK19)) ),
    inference(resolution,[],[f941,f376]) ).

fof(f1421,plain,
    ( nil = sK18
    | sK19 = tl(cons(sK24(sK18),sK19)) ),
    inference(resolution,[],[f942,f374]) ).

fof(f1552,plain,
    ( sK19 = tl(cons(sK24(sK18),sK19))
    | nil = sK18 ),
    inference(forward_demodulation,[],[f1458,f379]) ).

fof(f1458,plain,
    ( nil = sK18
    | sK19 = tl(cons(sK24(sK20),sK19)) ),
    inference(forward_demodulation,[],[f1423,f379]) ).

fof(f1423,plain,
    ( nil = sK20
    | sK19 = tl(cons(sK24(sK20),sK19)) ),
    inference(resolution,[],[f942,f376]) ).

fof(f1475,plain,
    ( nil = sK18
    | sK18 = cons(sK23(sK18),sK22(sK18)) ),
    inference(resolution,[],[f459,f374]) ).

fof(f1549,plain,
    ( sK18 = cons(sK23(sK18),sK22(sK18))
    | nil = sK18 ),
    inference(forward_demodulation,[],[f1510,f379]) ).

fof(f1510,plain,
    ( nil = sK18
    | sK20 = cons(sK23(sK20),sK22(sK20)) ),
    inference(forward_demodulation,[],[f1477,f379]) ).

fof(f1477,plain,
    ( nil = sK20
    | sK20 = cons(sK23(sK20),sK22(sK20)) ),
    inference(resolution,[],[f459,f376]) ).

fof(f1524,plain,
    ( sK18 != sK22(sK18)
    | ~ ssItem(sK23(sK18))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1523,f374]) ).

fof(f1523,plain,
    ( sK18 != sK22(sK18)
    | ~ ssItem(sK23(sK18))
    | ~ ssList(sK18)
    | spl69_4 ),
    inference(inner_rewriting,[],[f1521]) ).

fof(f1522,plain,
    ( memberP(sK18,sK23(sK18))
    | ~ ssList(sK22(sK18))
    | ~ ssItem(sK23(sK18))
    | spl69_4 ),
    inference(superposition,[],[f633,f1508]) ).

fof(f1521,plain,
    ( sK18 != sK22(sK18)
    | ~ ssItem(sK23(sK18))
    | ~ ssList(sK22(sK18))
    | spl69_4 ),
    inference(superposition,[],[f557,f1508]) ).

fof(f1518,plain,
    ( strictorderedP(sK18)
    | ~ sP2(sK22(sK18),sK23(sK18))
    | ~ sP3(sK23(sK18),sK22(sK18))
    | spl69_4 ),
    inference(superposition,[],[f439,f1508]) ).

fof(f1517,plain,
    ( ~ strictorderedP(sK18)
    | sP2(sK22(sK18),sK23(sK18))
    | ~ sP3(sK23(sK18),sK22(sK18))
    | spl69_4 ),
    inference(superposition,[],[f438,f1508]) ).

fof(f1516,plain,
    ( totalorderedP(sK18)
    | ~ sP0(sK22(sK18),sK23(sK18))
    | ~ sP1(sK23(sK18),sK22(sK18))
    | spl69_4 ),
    inference(superposition,[],[f431,f1508]) ).

fof(f1515,plain,
    ( ~ totalorderedP(sK18)
    | sP0(sK22(sK18),sK23(sK18))
    | ~ sP1(sK23(sK18),sK22(sK18))
    | spl69_4 ),
    inference(superposition,[],[f430,f1508]) ).

fof(f1508,plain,
    ( sK18 = cons(sK23(sK18),sK22(sK18))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1475,f669]) ).

fof(f1506,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK66(X0,X1) = cons(sK23(sK66(X0,X1)),sK22(sK66(X0,X1)))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f581]) ).

fof(f1505,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(f1504,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(f1503,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK63(X0,X1) = cons(sK23(sK63(X0,X1)),sK22(sK63(X0,X1)))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f574]) ).

fof(f1502,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(f1501,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(f1500,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK60(X0) = cons(sK23(sK60(X0)),sK22(sK60(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f459,f545]) ).

fof(f1499,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK59(X0) = cons(sK23(sK59(X0)),sK22(sK59(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f459,f544]) ).

fof(f1498,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK58(X0) = cons(sK23(sK58(X0)),sK22(sK58(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f459,f543]) ).

fof(f1497,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK55(X0) = cons(sK23(sK55(X0)),sK22(sK55(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f459,f534]) ).

fof(f1496,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK54(X0) = cons(sK23(sK54(X0)),sK22(sK54(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f459,f533]) ).

fof(f1495,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK53(X0) = cons(sK23(sK53(X0)),sK22(sK53(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f459,f532]) ).

fof(f1494,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK50(X0) = cons(sK23(sK50(X0)),sK22(sK50(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f459,f522]) ).

fof(f1493,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK49(X0) = cons(sK23(sK49(X0)),sK22(sK49(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f459,f521]) ).

fof(f1492,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK48(X0) = cons(sK23(sK48(X0)),sK22(sK48(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f459,f520]) ).

fof(f1491,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK45(X0) = cons(sK23(sK45(X0)),sK22(sK45(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f459,f510]) ).

fof(f1490,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK44(X0) = cons(sK23(sK44(X0)),sK22(sK44(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f459,f509]) ).

fof(f1489,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK43(X0) = cons(sK23(sK43(X0)),sK22(sK43(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f459,f508]) ).

fof(f1488,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK40(X0) = cons(sK23(sK40(X0)),sK22(sK40(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f459,f498]) ).

fof(f1487,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK39(X0) = cons(sK23(sK39(X0)),sK22(sK39(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f459,f497]) ).

fof(f1486,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK38(X0) = cons(sK23(sK38(X0)),sK22(sK38(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f459,f496]) ).

fof(f1485,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK35(X0) = cons(sK23(sK35(X0)),sK22(sK35(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f459,f487]) ).

fof(f1484,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK34(X0) = cons(sK23(sK34(X0)),sK22(sK34(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f459,f486]) ).

fof(f1483,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK33(X0) = cons(sK23(sK33(X0)),sK22(sK33(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f459,f485]) ).

fof(f1482,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK30(X0) = cons(sK23(sK30(X0)),sK22(sK30(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f459,f476]) ).

fof(f1481,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK29(X0) = cons(sK23(sK29(X0)),sK22(sK29(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f459,f475]) ).

fof(f1480,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK25(X0) = cons(sK23(sK25(X0)),sK22(sK25(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f465]) ).

fof(f1479,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK22(X0) = cons(sK23(sK22(X0)),sK22(sK22(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f457]) ).

fof(f1512,plain,
    ( sK18 = cons(sK23(sK18),sK22(sK18))
    | spl69_4 ),
    inference(forward_demodulation,[],[f1511,f379]) ).

fof(f1511,plain,
    ( sK20 = cons(sK23(sK20),sK22(sK20))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1510,f669]) ).

fof(f1474,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(sK23(tl(X0)),sK22(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f459,f461]) ).

fof(f1472,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(f1507,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = cons(sK23(cons(X0,X1)),sK22(cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1471,f556]) ).

fof(f1471,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(f1470,plain,
    ! [X0,X1] :
      ( sK52(cons(X0,X1)) = hd(cons(sK52(cons(X0,X1)),sK18))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1073,f430]) ).

fof(f1073,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK52(X0) = hd(cons(sK52(X0),sK18))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1009,f679]) ).

fof(f1469,plain,
    ! [X0,X1] :
      ( sK51(cons(X0,X1)) = hd(cons(sK51(cons(X0,X1)),sK18))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1072,f430]) ).

fof(f1072,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK51(X0) = hd(cons(sK51(X0),sK18))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1008,f679]) ).

fof(f1468,plain,
    ! [X0] :
      ( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK19))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f1467]) ).

fof(f1467,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(f1466,plain,
    ! [X0] :
      ( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK18))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f1465]) ).

fof(f1465,plain,
    ! [X0] :
      ( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK18))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(resolution,[],[f997,f610]) ).

fof(f997,plain,
    ! [X0] :
      ( ~ singletonP(X0)
      | sK26(X0) = hd(cons(sK26(X0),sK18))
      | ~ ssList(X0) ),
    inference(resolution,[],[f966,f467]) ).

fof(f1452,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK19 = tl(cons(sK24(sK66(X0,X1)),sK19))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f581]) ).

fof(f1451,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(f1450,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(f1449,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK19 = tl(cons(sK24(sK63(X0,X1)),sK19))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f574]) ).

fof(f1448,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(f1447,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(f1446,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK19 = tl(cons(sK24(sK60(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f942,f545]) ).

fof(f1445,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK19 = tl(cons(sK24(sK59(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f942,f544]) ).

fof(f1444,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK19 = tl(cons(sK24(sK58(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f942,f543]) ).

fof(f1443,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK19 = tl(cons(sK24(sK55(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f942,f534]) ).

fof(f1442,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK19 = tl(cons(sK24(sK54(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f942,f533]) ).

fof(f1441,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK19 = tl(cons(sK24(sK53(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f942,f532]) ).

fof(f1440,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK19 = tl(cons(sK24(sK50(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f942,f522]) ).

fof(f1439,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK19 = tl(cons(sK24(sK49(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f942,f521]) ).

fof(f1438,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK19 = tl(cons(sK24(sK48(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f942,f520]) ).

fof(f1437,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK19 = tl(cons(sK24(sK45(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f942,f510]) ).

fof(f1436,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK19 = tl(cons(sK24(sK44(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f942,f509]) ).

fof(f1435,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK19 = tl(cons(sK24(sK43(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f942,f508]) ).

fof(f1434,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK19 = tl(cons(sK24(sK40(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f942,f498]) ).

fof(f1433,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK19 = tl(cons(sK24(sK39(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f942,f497]) ).

fof(f1432,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK19 = tl(cons(sK24(sK38(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f942,f496]) ).

fof(f1431,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK19 = tl(cons(sK24(sK35(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f942,f487]) ).

fof(f1430,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK19 = tl(cons(sK24(sK34(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f942,f486]) ).

fof(f1429,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK19 = tl(cons(sK24(sK33(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f942,f485]) ).

fof(f1428,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK19 = tl(cons(sK24(sK30(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f942,f476]) ).

fof(f1427,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK19 = tl(cons(sK24(sK29(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f942,f475]) ).

fof(f1426,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK19 = tl(cons(sK24(sK25(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f465]) ).

fof(f1425,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK19 = tl(cons(sK24(sK22(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f457]) ).

fof(f1420,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK19 = tl(cons(sK24(tl(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f461]) ).

fof(f1418,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK19 = tl(cons(sK24(app(X0,X1)),sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f942,f565]) ).

fof(f1453,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK24(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1417,f556]) ).

fof(f1417,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(f1408,plain,
    ( sK19 = tl(cons(sK23(sK18),sK19))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1375,f669]) ).

fof(f1406,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK19 = tl(cons(sK23(sK66(X0,X1)),sK19))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f581]) ).

fof(f1405,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(f1404,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(f1403,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK19 = tl(cons(sK23(sK63(X0,X1)),sK19))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f574]) ).

fof(f1402,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(f1401,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(f1400,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK19 = tl(cons(sK23(sK60(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f941,f545]) ).

fof(f1399,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK19 = tl(cons(sK23(sK59(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f941,f544]) ).

fof(f1398,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK19 = tl(cons(sK23(sK58(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f941,f543]) ).

fof(f1397,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK19 = tl(cons(sK23(sK55(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f941,f534]) ).

fof(f1396,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK19 = tl(cons(sK23(sK54(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f941,f533]) ).

fof(f1395,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK19 = tl(cons(sK23(sK53(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f941,f532]) ).

fof(f1394,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK19 = tl(cons(sK23(sK50(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f941,f522]) ).

fof(f1393,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK19 = tl(cons(sK23(sK49(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f941,f521]) ).

fof(f1392,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK19 = tl(cons(sK23(sK48(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f941,f520]) ).

fof(f1391,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK19 = tl(cons(sK23(sK45(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f941,f510]) ).

fof(f1390,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK19 = tl(cons(sK23(sK44(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f941,f509]) ).

fof(f1389,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK19 = tl(cons(sK23(sK43(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f941,f508]) ).

fof(f1388,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK19 = tl(cons(sK23(sK40(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f941,f498]) ).

fof(f1387,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK19 = tl(cons(sK23(sK39(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f941,f497]) ).

fof(f1386,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK19 = tl(cons(sK23(sK38(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f941,f496]) ).

fof(f1385,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK19 = tl(cons(sK23(sK35(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f941,f487]) ).

fof(f1384,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK19 = tl(cons(sK23(sK34(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f941,f486]) ).

fof(f1383,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK19 = tl(cons(sK23(sK33(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f941,f485]) ).

fof(f1382,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK19 = tl(cons(sK23(sK30(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f941,f476]) ).

fof(f1381,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK19 = tl(cons(sK23(sK29(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f941,f475]) ).

fof(f1380,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK19 = tl(cons(sK23(sK25(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f465]) ).

fof(f1379,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK19 = tl(cons(sK23(sK22(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f457]) ).

fof(f1412,plain,
    ( sK19 = tl(cons(sK23(sK18),sK19))
    | spl69_4 ),
    inference(forward_demodulation,[],[f1411,f379]) ).

fof(f1411,plain,
    ( sK19 = tl(cons(sK23(sK20),sK19))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1410,f669]) ).

fof(f1374,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK19 = tl(cons(sK23(tl(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f461]) ).

fof(f1372,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK19 = tl(cons(sK23(app(X0,X1)),sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f941,f565]) ).

fof(f1407,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK23(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1371,f556]) ).

fof(f1371,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(f1369,plain,
    ! [X0] :
      ( ~ lt(X0,sK68)
      | sP2(cons(sK68,nil),X0)
      | ~ strictorderedP(cons(sK68,nil))
      | nil = cons(sK68,nil) ),
    inference(superposition,[],[f444,f1133]) ).

fof(f1368,plain,
    ! [X0] :
      ( ~ lt(X0,sK67)
      | sP2(cons(sK67,nil),X0)
      | ~ strictorderedP(cons(sK67,nil))
      | nil = cons(sK67,nil) ),
    inference(superposition,[],[f444,f1132]) ).

fof(f1367,plain,
    ! [X0] :
      ( ~ lt(X0,sK68)
      | sP2(cons(sK68,sK19),X0)
      | ~ strictorderedP(cons(sK68,sK19))
      | nil = cons(sK68,sK19) ),
    inference(superposition,[],[f444,f1039]) ).

fof(f1366,plain,
    ! [X0] :
      ( ~ lt(X0,sK67)
      | sP2(cons(sK67,sK19),X0)
      | ~ strictorderedP(cons(sK67,sK19))
      | nil = cons(sK67,sK19) ),
    inference(superposition,[],[f444,f1038]) ).

fof(f1365,plain,
    ! [X0] :
      ( ~ lt(X0,sK68)
      | sP2(cons(sK68,sK18),X0)
      | ~ strictorderedP(cons(sK68,sK18))
      | nil = cons(sK68,sK18) ),
    inference(superposition,[],[f444,f1013]) ).

fof(f1364,plain,
    ! [X0] :
      ( ~ lt(X0,sK67)
      | sP2(cons(sK67,sK18),X0)
      | ~ strictorderedP(cons(sK67,sK18))
      | nil = cons(sK67,sK18) ),
    inference(superposition,[],[f444,f1012]) ).

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(f1354,plain,
    ( sK19 = tl(cons(hd(sK18),sK19))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1321,f669]) ).

fof(f1352,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK19 = tl(cons(hd(sK66(X0,X1)),sK19))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f581]) ).

fof(f1351,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(f1350,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(f1349,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK19 = tl(cons(hd(sK63(X0,X1)),sK19))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f574]) ).

fof(f1348,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(f1347,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(f1346,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK19 = tl(cons(hd(sK60(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f940,f545]) ).

fof(f1345,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK19 = tl(cons(hd(sK59(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f940,f544]) ).

fof(f1344,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK19 = tl(cons(hd(sK58(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f940,f543]) ).

fof(f1343,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK19 = tl(cons(hd(sK55(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f940,f534]) ).

fof(f1342,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK19 = tl(cons(hd(sK54(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f940,f533]) ).

fof(f1341,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK19 = tl(cons(hd(sK53(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f940,f532]) ).

fof(f1340,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK19 = tl(cons(hd(sK50(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f940,f522]) ).

fof(f1339,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK19 = tl(cons(hd(sK49(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f940,f521]) ).

fof(f1338,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK19 = tl(cons(hd(sK48(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f940,f520]) ).

fof(f1337,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK19 = tl(cons(hd(sK45(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f940,f510]) ).

fof(f1336,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK19 = tl(cons(hd(sK44(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f940,f509]) ).

fof(f1335,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK19 = tl(cons(hd(sK43(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f940,f508]) ).

fof(f1334,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK19 = tl(cons(hd(sK40(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f940,f498]) ).

fof(f1333,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK19 = tl(cons(hd(sK39(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f940,f497]) ).

fof(f1332,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK19 = tl(cons(hd(sK38(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f940,f496]) ).

fof(f1331,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK19 = tl(cons(hd(sK35(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f940,f487]) ).

fof(f1330,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK19 = tl(cons(hd(sK34(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f940,f486]) ).

fof(f1329,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK19 = tl(cons(hd(sK33(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f940,f485]) ).

fof(f1328,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK19 = tl(cons(hd(sK30(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f940,f476]) ).

fof(f1327,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK19 = tl(cons(hd(sK29(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f940,f475]) ).

fof(f1326,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK19 = tl(cons(hd(sK25(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f465]) ).

fof(f1325,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK19 = tl(cons(hd(sK22(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f457]) ).

fof(f1358,plain,
    ( sK19 = tl(cons(hd(sK18),sK19))
    | spl69_4 ),
    inference(forward_demodulation,[],[f1357,f379]) ).

fof(f1357,plain,
    ( sK19 = tl(cons(hd(sK20),sK19))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1356,f669]) ).

fof(f1320,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK19 = tl(cons(hd(tl(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f461]) ).

fof(f1318,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK19 = tl(cons(hd(app(X0,X1)),sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f940,f565]) ).

fof(f1353,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(hd(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1317,f556]) ).

fof(f1317,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(f1304,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK18 = tl(cons(sK24(sK66(X0,X1)),sK18))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f920,f581]) ).

fof(f1303,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK18 = tl(cons(sK24(sK65(X0,X1)),sK18))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f920,f578]) ).

fof(f1302,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK18 = tl(cons(sK24(sK64(X0,X1)),sK18))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f920,f577]) ).

fof(f1301,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK18 = tl(cons(sK24(sK63(X0,X1)),sK18))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f920,f574]) ).

fof(f1300,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK18 = tl(cons(sK24(sK62(X0,X1)),sK18))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f920,f562]) ).

fof(f1299,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK18 = tl(cons(sK24(sK61(X0,X1)),sK18))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f920,f561]) ).

fof(f1298,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK18 = tl(cons(sK24(sK60(X0)),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f920,f545]) ).

fof(f1297,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK18 = tl(cons(sK24(sK59(X0)),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f920,f544]) ).

fof(f1296,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK18 = tl(cons(sK24(sK58(X0)),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f920,f543]) ).

fof(f1295,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK18 = tl(cons(sK24(sK55(X0)),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f920,f534]) ).

fof(f1294,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK18 = tl(cons(sK24(sK54(X0)),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f920,f533]) ).

fof(f1293,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK18 = tl(cons(sK24(sK53(X0)),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f920,f532]) ).

fof(f1292,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK18 = tl(cons(sK24(sK50(X0)),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f920,f522]) ).

fof(f1291,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK18 = tl(cons(sK24(sK49(X0)),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f920,f521]) ).

fof(f1290,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK18 = tl(cons(sK24(sK48(X0)),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f920,f520]) ).

fof(f1289,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK18 = tl(cons(sK24(sK45(X0)),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f920,f510]) ).

fof(f1288,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK18 = tl(cons(sK24(sK44(X0)),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f920,f509]) ).

fof(f1287,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK18 = tl(cons(sK24(sK43(X0)),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f920,f508]) ).

fof(f1286,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK18 = tl(cons(sK24(sK40(X0)),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f920,f498]) ).

fof(f1285,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK18 = tl(cons(sK24(sK39(X0)),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f920,f497]) ).

fof(f1284,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK18 = tl(cons(sK24(sK38(X0)),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f920,f496]) ).

fof(f1283,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK18 = tl(cons(sK24(sK35(X0)),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f920,f487]) ).

fof(f1282,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK18 = tl(cons(sK24(sK34(X0)),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f920,f486]) ).

fof(f1281,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK18 = tl(cons(sK24(sK33(X0)),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f920,f485]) ).

fof(f1280,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK18 = tl(cons(sK24(sK30(X0)),sK18))
      | sP4(X0) ),
    inference(resolution,[],[f920,f476]) ).

fof(f1279,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK18 = tl(cons(sK24(sK29(X0)),sK18))
      | sP4(X0) ),
    inference(resolution,[],[f920,f475]) ).

fof(f1278,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK18 = tl(cons(sK24(sK25(X0)),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f920,f465]) ).

fof(f1277,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK18 = tl(cons(sK24(sK22(X0)),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f920,f457]) ).

fof(f1272,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK18 = tl(cons(sK24(tl(X0)),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f920,f461]) ).

fof(f1270,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK18 = tl(cons(sK24(app(X0,X1)),sK18))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f920,f565]) ).

fof(f1305,plain,
    ! [X0,X1] :
      ( sK18 = tl(cons(sK24(cons(X0,X1)),sK18))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1269,f556]) ).

fof(f1269,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | sK18 = tl(cons(sK24(cons(X0,X1)),sK18))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f920,f555]) ).

fof(f920,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK18 = tl(cons(sK24(X0),sK18)) ),
    inference(resolution,[],[f890,f463]) ).

fof(f1260,plain,
    ( sK18 = tl(cons(sK23(sK18),sK18))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1227,f669]) ).

fof(f1258,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK18 = tl(cons(sK23(sK66(X0,X1)),sK18))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f919,f581]) ).

fof(f1257,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK18 = tl(cons(sK23(sK65(X0,X1)),sK18))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f919,f578]) ).

fof(f1256,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK18 = tl(cons(sK23(sK64(X0,X1)),sK18))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f919,f577]) ).

fof(f1255,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK18 = tl(cons(sK23(sK63(X0,X1)),sK18))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f919,f574]) ).

fof(f1254,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK18 = tl(cons(sK23(sK62(X0,X1)),sK18))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f919,f562]) ).

fof(f1253,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK18 = tl(cons(sK23(sK61(X0,X1)),sK18))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f919,f561]) ).

fof(f1252,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK18 = tl(cons(sK23(sK60(X0)),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f919,f545]) ).

fof(f1251,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK18 = tl(cons(sK23(sK59(X0)),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f919,f544]) ).

fof(f1250,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK18 = tl(cons(sK23(sK58(X0)),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f919,f543]) ).

fof(f1249,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK18 = tl(cons(sK23(sK55(X0)),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f919,f534]) ).

fof(f1248,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK18 = tl(cons(sK23(sK54(X0)),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f919,f533]) ).

fof(f1247,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK18 = tl(cons(sK23(sK53(X0)),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f919,f532]) ).

fof(f1246,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK18 = tl(cons(sK23(sK50(X0)),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f919,f522]) ).

fof(f1245,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK18 = tl(cons(sK23(sK49(X0)),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f919,f521]) ).

fof(f1244,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK18 = tl(cons(sK23(sK48(X0)),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f919,f520]) ).

fof(f1243,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK18 = tl(cons(sK23(sK45(X0)),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f919,f510]) ).

fof(f1242,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK18 = tl(cons(sK23(sK44(X0)),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f919,f509]) ).

fof(f1241,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK18 = tl(cons(sK23(sK43(X0)),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f919,f508]) ).

fof(f1240,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK18 = tl(cons(sK23(sK40(X0)),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f919,f498]) ).

fof(f1239,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK18 = tl(cons(sK23(sK39(X0)),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f919,f497]) ).

fof(f1238,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK18 = tl(cons(sK23(sK38(X0)),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f919,f496]) ).

fof(f1237,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK18 = tl(cons(sK23(sK35(X0)),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f919,f487]) ).

fof(f1236,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK18 = tl(cons(sK23(sK34(X0)),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f919,f486]) ).

fof(f1235,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK18 = tl(cons(sK23(sK33(X0)),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f919,f485]) ).

fof(f1234,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK18 = tl(cons(sK23(sK30(X0)),sK18))
      | sP4(X0) ),
    inference(resolution,[],[f919,f476]) ).

fof(f1233,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK18 = tl(cons(sK23(sK29(X0)),sK18))
      | sP4(X0) ),
    inference(resolution,[],[f919,f475]) ).

fof(f1232,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK18 = tl(cons(sK23(sK25(X0)),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f919,f465]) ).

fof(f1231,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK18 = tl(cons(sK23(sK22(X0)),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f919,f457]) ).

fof(f1264,plain,
    ( sK18 = tl(cons(sK23(sK18),sK18))
    | spl69_4 ),
    inference(forward_demodulation,[],[f1263,f379]) ).

fof(f1263,plain,
    ( sK18 = tl(cons(sK23(sK20),sK18))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1262,f669]) ).

fof(f1226,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK18 = tl(cons(sK23(tl(X0)),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f919,f461]) ).

fof(f1224,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK18 = tl(cons(sK23(app(X0,X1)),sK18))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f919,f565]) ).

fof(f1259,plain,
    ! [X0,X1] :
      ( sK18 = tl(cons(sK23(cons(X0,X1)),sK18))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1223,f556]) ).

fof(f1223,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | sK18 = tl(cons(sK23(cons(X0,X1)),sK18))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f919,f555]) ).

fof(f919,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK18 = tl(cons(sK23(X0),sK18)) ),
    inference(resolution,[],[f890,f458]) ).

fof(f1221,plain,
    ! [X0] :
      ( ~ leq(X0,sK68)
      | sP0(cons(sK68,nil),X0)
      | ~ totalorderedP(cons(sK68,nil))
      | nil = cons(sK68,nil) ),
    inference(superposition,[],[f436,f1133]) ).

fof(f1220,plain,
    ! [X0] :
      ( ~ leq(X0,sK67)
      | sP0(cons(sK67,nil),X0)
      | ~ totalorderedP(cons(sK67,nil))
      | nil = cons(sK67,nil) ),
    inference(superposition,[],[f436,f1132]) ).

fof(f1219,plain,
    ! [X0] :
      ( ~ leq(X0,sK68)
      | sP0(cons(sK68,sK19),X0)
      | ~ totalorderedP(cons(sK68,sK19))
      | nil = cons(sK68,sK19) ),
    inference(superposition,[],[f436,f1039]) ).

fof(f1218,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] :
      ( ~ leq(X0,sK68)
      | sP0(cons(sK68,sK18),X0)
      | ~ totalorderedP(cons(sK68,sK18))
      | nil = cons(sK68,sK18) ),
    inference(superposition,[],[f436,f1013]) ).

fof(f1216,plain,
    ! [X0] :
      ( ~ leq(X0,sK67)
      | sP0(cons(sK67,sK18),X0)
      | ~ totalorderedP(cons(sK67,sK18))
      | nil = cons(sK67,sK18) ),
    inference(superposition,[],[f436,f1012]) ).

fof(f1215,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(f1205,plain,
    ( sK18 = tl(cons(hd(sK18),sK18))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1172,f669]) ).

fof(f1203,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK18 = tl(cons(hd(sK66(X0,X1)),sK18))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f918,f581]) ).

fof(f1202,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK18 = tl(cons(hd(sK65(X0,X1)),sK18))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f918,f578]) ).

fof(f1201,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK18 = tl(cons(hd(sK64(X0,X1)),sK18))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f918,f577]) ).

fof(f1200,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK18 = tl(cons(hd(sK63(X0,X1)),sK18))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f918,f574]) ).

fof(f1199,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK18 = tl(cons(hd(sK62(X0,X1)),sK18))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f918,f562]) ).

fof(f1198,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK18 = tl(cons(hd(sK61(X0,X1)),sK18))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f918,f561]) ).

fof(f1197,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK18 = tl(cons(hd(sK60(X0)),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f918,f545]) ).

fof(f1196,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK18 = tl(cons(hd(sK59(X0)),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f918,f544]) ).

fof(f1195,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK18 = tl(cons(hd(sK58(X0)),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f918,f543]) ).

fof(f1194,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK18 = tl(cons(hd(sK55(X0)),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f918,f534]) ).

fof(f1193,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK18 = tl(cons(hd(sK54(X0)),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f918,f533]) ).

fof(f1192,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK18 = tl(cons(hd(sK53(X0)),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f918,f532]) ).

fof(f1191,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK18 = tl(cons(hd(sK50(X0)),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f918,f522]) ).

fof(f1190,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK18 = tl(cons(hd(sK49(X0)),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f918,f521]) ).

fof(f1189,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK18 = tl(cons(hd(sK48(X0)),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f918,f520]) ).

fof(f1188,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK18 = tl(cons(hd(sK45(X0)),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f918,f510]) ).

fof(f1187,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK18 = tl(cons(hd(sK44(X0)),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f918,f509]) ).

fof(f1186,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK18 = tl(cons(hd(sK43(X0)),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f918,f508]) ).

fof(f1185,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK18 = tl(cons(hd(sK40(X0)),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f918,f498]) ).

fof(f1184,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK18 = tl(cons(hd(sK39(X0)),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f918,f497]) ).

fof(f1183,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK18 = tl(cons(hd(sK38(X0)),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f918,f496]) ).

fof(f1182,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK18 = tl(cons(hd(sK35(X0)),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f918,f487]) ).

fof(f1181,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK18 = tl(cons(hd(sK34(X0)),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f918,f486]) ).

fof(f1180,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK18 = tl(cons(hd(sK33(X0)),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f918,f485]) ).

fof(f1179,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK18 = tl(cons(hd(sK30(X0)),sK18))
      | sP4(X0) ),
    inference(resolution,[],[f918,f476]) ).

fof(f1178,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK18 = tl(cons(hd(sK29(X0)),sK18))
      | sP4(X0) ),
    inference(resolution,[],[f918,f475]) ).

fof(f1177,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK18 = tl(cons(hd(sK25(X0)),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f918,f465]) ).

fof(f1176,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK18 = tl(cons(hd(sK22(X0)),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f918,f457]) ).

fof(f1209,plain,
    ( sK18 = tl(cons(hd(sK18),sK18))
    | spl69_4 ),
    inference(forward_demodulation,[],[f1208,f379]) ).

fof(f1208,plain,
    ( sK18 = tl(cons(hd(sK20),sK18))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1207,f669]) ).

fof(f1171,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK18 = tl(cons(hd(tl(X0)),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f918,f461]) ).

fof(f1169,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK18 = tl(cons(hd(app(X0,X1)),sK18))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f918,f565]) ).

fof(f1204,plain,
    ! [X0,X1] :
      ( sK18 = tl(cons(hd(cons(X0,X1)),sK18))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1168,f556]) ).

fof(f1168,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | sK18 = tl(cons(hd(cons(X0,X1)),sK18))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f918,f555]) ).

fof(f918,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK18 = tl(cons(hd(X0),sK18)) ),
    inference(resolution,[],[f890,f460]) ).

fof(f1167,plain,
    ! [X0] :
      ( nil = tl(cons(sK57(X0),nil))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1103,f681]) ).

fof(f1103,plain,
    ! [X0] :
      ( sP16(X0)
      | nil = tl(cons(sK57(X0),nil)) ),
    inference(resolution,[],[f888,f542]) ).

fof(f1166,plain,
    ! [X0] :
      ( nil = tl(cons(sK56(X0),nil))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1102,f681]) ).

fof(f1102,plain,
    ! [X0] :
      ( sP16(X0)
      | nil = tl(cons(sK56(X0),nil)) ),
    inference(resolution,[],[f888,f541]) ).

fof(f1165,plain,
    ! [X0] :
      ( nil = tl(cons(sK52(X0),nil))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1101,f679]) ).

fof(f1101,plain,
    ! [X0] :
      ( sP14(X0)
      | nil = tl(cons(sK52(X0),nil)) ),
    inference(resolution,[],[f888,f531]) ).

fof(f1164,plain,
    ! [X0] :
      ( nil = tl(cons(sK51(X0),nil))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1100,f679]) ).

fof(f1100,plain,
    ! [X0] :
      ( sP14(X0)
      | nil = tl(cons(sK51(X0),nil)) ),
    inference(resolution,[],[f888,f530]) ).

fof(f1099,plain,
    ! [X0] :
      ( sP12(X0)
      | nil = tl(cons(sK47(X0),nil)) ),
    inference(resolution,[],[f888,f519]) ).

fof(f1098,plain,
    ! [X0] :
      ( sP12(X0)
      | nil = tl(cons(sK46(X0),nil)) ),
    inference(resolution,[],[f888,f518]) ).

fof(f1097,plain,
    ! [X0] :
      ( sP10(X0)
      | nil = tl(cons(sK42(X0),nil)) ),
    inference(resolution,[],[f888,f507]) ).

fof(f1163,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK66(X0,X1) = app(sK66(X0,X1),nil) ),
    inference(resolution,[],[f581,f455]) ).

fof(f1162,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK66(X0,X1) = app(nil,sK66(X0,X1)) ),
    inference(resolution,[],[f581,f456]) ).

fof(f1161,plain,
    ! [X0,X1] :
      ( ~ rearsegP(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] :
      ( ~ rearsegP(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] :
      ( ~ rearsegP(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] :
      ( ~ rearsegP(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))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f368]) ).

fof(f1096,plain,
    ! [X0] :
      ( sP10(X0)
      | nil = tl(cons(sK41(X0),nil)) ),
    inference(resolution,[],[f888,f506]) ).

fof(f1095,plain,
    ! [X0] :
      ( sP8(X0)
      | nil = tl(cons(sK37(X0),nil)) ),
    inference(resolution,[],[f888,f495]) ).

fof(f1094,plain,
    ! [X0] :
      ( sP8(X0)
      | nil = tl(cons(sK36(X0),nil)) ),
    inference(resolution,[],[f888,f494]) ).

fof(f1093,plain,
    ! [X0] :
      ( sP6(X0)
      | nil = tl(cons(sK32(X0),nil)) ),
    inference(resolution,[],[f888,f484]) ).

fof(f1092,plain,
    ! [X0] :
      ( sP6(X0)
      | nil = tl(cons(sK31(X0),nil)) ),
    inference(resolution,[],[f888,f483]) ).

fof(f1091,plain,
    ! [X0] :
      ( sP4(X0)
      | nil = tl(cons(sK28(X0),nil)) ),
    inference(resolution,[],[f888,f474]) ).

fof(f1090,plain,
    ! [X0] :
      ( sP4(X0)
      | nil = tl(cons(sK27(X0),nil)) ),
    inference(resolution,[],[f888,f473]) ).

fof(f1157,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK57(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1065,f438]) ).

fof(f1065,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK19 = tl(cons(sK57(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f957,f681]) ).

fof(f1156,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK56(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1064,f438]) ).

fof(f1064,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK19 = tl(cons(sK56(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f956,f681]) ).

fof(f1155,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK52(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1063,f430]) ).

fof(f1063,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK19 = tl(cons(sK52(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f955,f679]) ).

fof(f1154,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK51(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1062,f430]) ).

fof(f1062,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK19 = tl(cons(sK51(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f954,f679]) ).

fof(f1153,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK65(X0,X1) = app(sK65(X0,X1),nil) ),
    inference(resolution,[],[f578,f455]) ).

fof(f1152,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK65(X0,X1) = app(nil,sK65(X0,X1)) ),
    inference(resolution,[],[f578,f456]) ).

fof(f1151,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(f1150,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(f1149,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(f1148,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(f1147,plain,
    ! [X0,X1] :
      ( sK18 = tl(cons(sK57(cons(X0,X1)),sK18))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1055,f438]) ).

fof(f1055,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK18 = tl(cons(sK57(X0),sK18))
      | ~ ssList(X0) ),
    inference(resolution,[],[f935,f681]) ).

fof(f1146,plain,
    ! [X0,X1] :
      ( sK18 = tl(cons(sK56(cons(X0,X1)),sK18))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1052,f438]) ).

fof(f1052,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK18 = tl(cons(sK56(X0),sK18))
      | ~ ssList(X0) ),
    inference(resolution,[],[f934,f681]) ).

fof(f1145,plain,
    ! [X0,X1] :
      ( sK18 = tl(cons(sK52(cons(X0,X1)),sK18))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1051,f430]) ).

fof(f1051,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK18 = tl(cons(sK52(X0),sK18))
      | ~ ssList(X0) ),
    inference(resolution,[],[f933,f679]) ).

fof(f1144,plain,
    ! [X0,X1] :
      ( sK18 = tl(cons(sK51(cons(X0,X1)),sK18))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1050,f430]) ).

fof(f1050,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK18 = tl(cons(sK51(X0),sK18))
      | ~ ssList(X0) ),
    inference(resolution,[],[f932,f679]) ).

fof(f1143,plain,
    ! [X0] :
      ( sK19 = tl(cons(sK26(cons(X0,nil)),sK19))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f1142]) ).

fof(f1142,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(f1141,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK26(cons(X0,nil)),sK18))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f1140]) ).

fof(f1140,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK26(cons(X0,nil)),sK18))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(resolution,[],[f921,f610]) ).

fof(f921,plain,
    ! [X0] :
      ( ~ singletonP(X0)
      | sK18 = tl(cons(sK26(X0),sK18))
      | ~ ssList(X0) ),
    inference(resolution,[],[f890,f467]) ).

fof(f1138,plain,
    ! [X0] :
      ( leq(X0,sK68)
      | nil = cons(sK68,nil)
      | ~ sP0(cons(sK68,nil),X0) ),
    inference(superposition,[],[f434,f1133]) ).

fof(f1137,plain,
    ! [X0] :
      ( lt(X0,sK68)
      | nil = cons(sK68,nil)
      | ~ sP2(cons(sK68,nil),X0) ),
    inference(superposition,[],[f442,f1133]) ).

fof(f1133,plain,
    sK68 = hd(cons(sK68,nil)),
    inference(resolution,[],[f964,f600]) ).

fof(f1135,plain,
    ! [X0] :
      ( leq(X0,sK67)
      | nil = cons(sK67,nil)
      | ~ sP0(cons(sK67,nil),X0) ),
    inference(superposition,[],[f434,f1132]) ).

fof(f1134,plain,
    ! [X0] :
      ( lt(X0,sK67)
      | nil = cons(sK67,nil)
      | ~ sP2(cons(sK67,nil),X0) ),
    inference(superposition,[],[f442,f1132]) ).

fof(f1131,plain,
    ! [X0] :
      ( sK57(X0) = hd(cons(sK57(X0),nil))
      | sP16(X0) ),
    inference(resolution,[],[f964,f542]) ).

fof(f1130,plain,
    ! [X0] :
      ( sK56(X0) = hd(cons(sK56(X0),nil))
      | sP16(X0) ),
    inference(resolution,[],[f964,f541]) ).

fof(f1129,plain,
    ! [X0] :
      ( sK52(X0) = hd(cons(sK52(X0),nil))
      | sP14(X0) ),
    inference(resolution,[],[f964,f531]) ).

fof(f1128,plain,
    ! [X0] :
      ( sK51(X0) = hd(cons(sK51(X0),nil))
      | sP14(X0) ),
    inference(resolution,[],[f964,f530]) ).

fof(f1127,plain,
    ! [X0] :
      ( sK47(X0) = hd(cons(sK47(X0),nil))
      | sP12(X0) ),
    inference(resolution,[],[f964,f519]) ).

fof(f1126,plain,
    ! [X0] :
      ( sK46(X0) = hd(cons(sK46(X0),nil))
      | sP12(X0) ),
    inference(resolution,[],[f964,f518]) ).

fof(f1125,plain,
    ! [X0] :
      ( sK42(X0) = hd(cons(sK42(X0),nil))
      | sP10(X0) ),
    inference(resolution,[],[f964,f507]) ).

fof(f1124,plain,
    ! [X0] :
      ( sK41(X0) = hd(cons(sK41(X0),nil))
      | sP10(X0) ),
    inference(resolution,[],[f964,f506]) ).

fof(f1123,plain,
    ! [X0] :
      ( sK37(X0) = hd(cons(sK37(X0),nil))
      | sP8(X0) ),
    inference(resolution,[],[f964,f495]) ).

fof(f1122,plain,
    ! [X0] :
      ( sK36(X0) = hd(cons(sK36(X0),nil))
      | sP8(X0) ),
    inference(resolution,[],[f964,f494]) ).

fof(f1121,plain,
    ! [X0] :
      ( sK32(X0) = hd(cons(sK32(X0),nil))
      | sP6(X0) ),
    inference(resolution,[],[f964,f484]) ).

fof(f1120,plain,
    ! [X0] :
      ( sK31(X0) = hd(cons(sK31(X0),nil))
      | sP6(X0) ),
    inference(resolution,[],[f964,f483]) ).

fof(f1119,plain,
    ! [X0] :
      ( sK28(X0) = hd(cons(sK28(X0),nil))
      | sP4(X0) ),
    inference(resolution,[],[f964,f474]) ).

fof(f1118,plain,
    ! [X0] :
      ( sK27(X0) = hd(cons(sK27(X0),nil))
      | sP4(X0) ),
    inference(resolution,[],[f964,f473]) ).

fof(f1117,plain,
    ! [X0] :
      ( sK26(X0) = hd(cons(sK26(X0),nil))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f964,f467]) ).

fof(f1116,plain,
    ! [X0] :
      ( sK24(X0) = hd(cons(sK24(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f964,f463]) ).

fof(f1115,plain,
    ! [X0] :
      ( sK23(X0) = hd(cons(sK23(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f964,f458]) ).

fof(f1114,plain,
    ! [X0] :
      ( hd(X0) = hd(cons(hd(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f964,f460]) ).

fof(f1105,plain,
    nil = tl(cons(sK68,nil)),
    inference(resolution,[],[f888,f600]) ).

fof(f1104,plain,
    nil = tl(cons(sK67,nil)),
    inference(resolution,[],[f888,f599]) ).

fof(f1111,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK64(X0,X1) = app(sK64(X0,X1),nil) ),
    inference(resolution,[],[f577,f455]) ).

fof(f1110,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK64(X0,X1) = app(nil,sK64(X0,X1)) ),
    inference(resolution,[],[f577,f456]) ).

fof(f1109,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(f1108,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(f1107,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(f1106,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(f1089,plain,
    ! [X0] :
      ( nil = tl(cons(sK26(X0),nil))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f888,f467]) ).

fof(f1088,plain,
    ! [X0] :
      ( nil = tl(cons(sK24(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f888,f463]) ).

fof(f1087,plain,
    ! [X0] :
      ( nil = tl(cons(sK23(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f888,f458]) ).

fof(f1086,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(f1085,plain,
    ! [X0] :
      ( sK57(X0) = hd(cons(sK57(X0),sK19))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1037,f681]) ).

fof(f1037,plain,
    ! [X0] :
      ( sP16(X0)
      | sK57(X0) = hd(cons(sK57(X0),sK19)) ),
    inference(resolution,[],[f967,f542]) ).

fof(f1084,plain,
    ! [X0] :
      ( sK56(X0) = hd(cons(sK56(X0),sK19))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1036,f681]) ).

fof(f1036,plain,
    ! [X0] :
      ( sP16(X0)
      | sK56(X0) = hd(cons(sK56(X0),sK19)) ),
    inference(resolution,[],[f967,f541]) ).

fof(f1083,plain,
    ! [X0] :
      ( sK52(X0) = hd(cons(sK52(X0),sK19))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1035,f679]) ).

fof(f1035,plain,
    ! [X0] :
      ( sP14(X0)
      | sK52(X0) = hd(cons(sK52(X0),sK19)) ),
    inference(resolution,[],[f967,f531]) ).

fof(f1082,plain,
    ! [X0] :
      ( sK51(X0) = hd(cons(sK51(X0),sK19))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1034,f679]) ).

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(f1081,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK63(X0,X1) = app(sK63(X0,X1),nil) ),
    inference(resolution,[],[f574,f455]) ).

fof(f1080,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK63(X0,X1) = app(nil,sK63(X0,X1)) ),
    inference(resolution,[],[f574,f456]) ).

fof(f1079,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK63(X0,X1)
      | hd(sK63(X0,X1)) = sK24(sK63(X0,X1)) ),
    inference(resolution,[],[f574,f464]) ).

fof(f1078,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK63(X0,X1)
      | tl(sK63(X0,X1)) = sK25(sK63(X0,X1)) ),
    inference(resolution,[],[f574,f466]) ).

fof(f1077,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK63(X0,X1) = tl(cons(X2,sK63(X0,X1))) ),
    inference(resolution,[],[f574,f558]) ).

fof(f1076,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(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))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f359]) ).

fof(f359,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(X1,sK63(X0,X1)) = X0
                & ssList(sK63(X0,X1)) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f357,f358]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X1,X3) = X0
          & ssList(X3) )
     => ( app(X1,sK63(X0,X1)) = X0
        & ssList(sK63(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f357,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,[],[f356]) ).

fof(f356,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,[],[f199]) ).

fof(f199,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/sandbox2/benchmark/theBenchmark.p',ax5) ).

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(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(f1075,plain,
    ! [X0] :
      ( sK57(X0) = hd(cons(sK57(X0),sK18))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1011,f681]) ).

fof(f1011,plain,
    ! [X0] :
      ( sP16(X0)
      | sK57(X0) = hd(cons(sK57(X0),sK18)) ),
    inference(resolution,[],[f966,f542]) ).

fof(f1074,plain,
    ! [X0] :
      ( sK56(X0) = hd(cons(sK56(X0),sK18))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1010,f681]) ).

fof(f1010,plain,
    ! [X0] :
      ( sP16(X0)
      | sK56(X0) = hd(cons(sK56(X0),sK18)) ),
    inference(resolution,[],[f966,f541]) ).

fof(f1009,plain,
    ! [X0] :
      ( sP14(X0)
      | sK52(X0) = hd(cons(sK52(X0),sK18)) ),
    inference(resolution,[],[f966,f531]) ).

fof(f1008,plain,
    ! [X0] :
      ( sP14(X0)
      | sK51(X0) = hd(cons(sK51(X0),sK18)) ),
    inference(resolution,[],[f966,f530]) ).

fof(f1007,plain,
    ! [X0] :
      ( sP12(X0)
      | sK47(X0) = hd(cons(sK47(X0),sK18)) ),
    inference(resolution,[],[f966,f519]) ).

fof(f1006,plain,
    ! [X0] :
      ( sP12(X0)
      | sK46(X0) = hd(cons(sK46(X0),sK18)) ),
    inference(resolution,[],[f966,f518]) ).

fof(f1005,plain,
    ! [X0] :
      ( sP10(X0)
      | sK42(X0) = hd(cons(sK42(X0),sK18)) ),
    inference(resolution,[],[f966,f507]) ).

fof(f1071,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK62(X0,X1) = app(sK62(X0,X1),nil) ),
    inference(resolution,[],[f562,f455]) ).

fof(f1070,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK62(X0,X1) = app(nil,sK62(X0,X1)) ),
    inference(resolution,[],[f562,f456]) ).

fof(f1069,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(f1068,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(f1067,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(f1066,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(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/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f1004,plain,
    ! [X0] :
      ( sP10(X0)
      | sK41(X0) = hd(cons(sK41(X0),sK18)) ),
    inference(resolution,[],[f966,f506]) ).

fof(f1003,plain,
    ! [X0] :
      ( sP8(X0)
      | sK37(X0) = hd(cons(sK37(X0),sK18)) ),
    inference(resolution,[],[f966,f495]) ).

fof(f1002,plain,
    ! [X0] :
      ( sP8(X0)
      | sK36(X0) = hd(cons(sK36(X0),sK18)) ),
    inference(resolution,[],[f966,f494]) ).

fof(f1001,plain,
    ! [X0] :
      ( sP6(X0)
      | sK32(X0) = hd(cons(sK32(X0),sK18)) ),
    inference(resolution,[],[f966,f484]) ).

fof(f1000,plain,
    ! [X0] :
      ( sP6(X0)
      | sK31(X0) = hd(cons(sK31(X0),sK18)) ),
    inference(resolution,[],[f966,f483]) ).

fof(f999,plain,
    ! [X0] :
      ( sP4(X0)
      | sK28(X0) = hd(cons(sK28(X0),sK18)) ),
    inference(resolution,[],[f966,f474]) ).

fof(f998,plain,
    ! [X0] :
      ( sP4(X0)
      | sK27(X0) = hd(cons(sK27(X0),sK18)) ),
    inference(resolution,[],[f966,f473]) ).

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(f1061,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK61(X0,X1) = app(sK61(X0,X1),nil) ),
    inference(resolution,[],[f561,f455]) ).

fof(f1060,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK61(X0,X1) = app(nil,sK61(X0,X1)) ),
    inference(resolution,[],[f561,f456]) ).

fof(f1059,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(f1058,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(f1057,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(f1056,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(f953,plain,
    ! [X0] :
      ( sP12(X0)
      | sK19 = tl(cons(sK47(X0),sK19)) ),
    inference(resolution,[],[f891,f519]) ).

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(f935,plain,
    ! [X0] :
      ( sP16(X0)
      | sK18 = tl(cons(sK57(X0),sK18)) ),
    inference(resolution,[],[f890,f542]) ).

fof(f1054,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | cons(X0,nil) = cons(sK26(cons(X0,nil)),nil) ),
    inference(duplicate_literal_removal,[],[f1053]) ).

fof(f1053,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(f934,plain,
    ! [X0] :
      ( sP16(X0)
      | sK18 = tl(cons(sK56(X0),sK18)) ),
    inference(resolution,[],[f890,f541]) ).

fof(f933,plain,
    ! [X0] :
      ( sP14(X0)
      | sK18 = tl(cons(sK52(X0),sK18)) ),
    inference(resolution,[],[f890,f531]) ).

fof(f932,plain,
    ! [X0] :
      ( sP14(X0)
      | sK18 = tl(cons(sK51(X0),sK18)) ),
    inference(resolution,[],[f890,f530]) ).

fof(f931,plain,
    ! [X0] :
      ( sP12(X0)
      | sK18 = tl(cons(sK47(X0),sK18)) ),
    inference(resolution,[],[f890,f519]) ).

fof(f930,plain,
    ! [X0] :
      ( sP12(X0)
      | sK18 = tl(cons(sK46(X0),sK18)) ),
    inference(resolution,[],[f890,f518]) ).

fof(f929,plain,
    ! [X0] :
      ( sP10(X0)
      | sK18 = tl(cons(sK42(X0),sK18)) ),
    inference(resolution,[],[f890,f507]) ).

fof(f928,plain,
    ! [X0] :
      ( sP10(X0)
      | sK18 = tl(cons(sK41(X0),sK18)) ),
    inference(resolution,[],[f890,f506]) ).

fof(f927,plain,
    ! [X0] :
      ( sP8(X0)
      | sK18 = tl(cons(sK37(X0),sK18)) ),
    inference(resolution,[],[f890,f495]) ).

fof(f926,plain,
    ! [X0] :
      ( sP8(X0)
      | sK18 = tl(cons(sK36(X0),sK18)) ),
    inference(resolution,[],[f890,f494]) ).

fof(f925,plain,
    ! [X0] :
      ( sP6(X0)
      | sK18 = tl(cons(sK32(X0),sK18)) ),
    inference(resolution,[],[f890,f484]) ).

fof(f924,plain,
    ! [X0] :
      ( sP6(X0)
      | sK18 = tl(cons(sK31(X0),sK18)) ),
    inference(resolution,[],[f890,f483]) ).

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/sandbox2/benchmark/theBenchmark.p',ax15) ).

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] :
      ( sK24(X0) = hd(cons(sK24(X0),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f967,f463]) ).

fof(f1021,plain,
    ! [X0] :
      ( sK23(X0) = hd(cons(sK23(X0),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f967,f458]) ).

fof(f1020,plain,
    ! [X0] :
      ( hd(X0) = hd(cons(hd(X0),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    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(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(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(sK18) = sK25(sK18)
    | spl69_4 ),
    inference(subsumption_resolution,[],[f850,f669]) ).

fof(f875,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | tl(sK60(X0)) = sK25(sK60(X0))
      | sP16(X0) ),
    inference(resolution,[],[f466,f545]) ).

fof(f874,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | tl(sK59(X0)) = sK25(sK59(X0))
      | sP16(X0) ),
    inference(resolution,[],[f466,f544]) ).

fof(f873,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | tl(sK58(X0)) = sK25(sK58(X0))
      | sP16(X0) ),
    inference(resolution,[],[f466,f543]) ).

fof(f872,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | tl(sK55(X0)) = sK25(sK55(X0))
      | sP14(X0) ),
    inference(resolution,[],[f466,f534]) ).

fof(f871,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | tl(sK54(X0)) = sK25(sK54(X0))
      | sP14(X0) ),
    inference(resolution,[],[f466,f533]) ).

fof(f870,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | tl(sK53(X0)) = sK25(sK53(X0))
      | sP14(X0) ),
    inference(resolution,[],[f466,f532]) ).

fof(f869,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | tl(sK50(X0)) = sK25(sK50(X0))
      | sP12(X0) ),
    inference(resolution,[],[f466,f522]) ).

fof(f868,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | tl(sK49(X0)) = sK25(sK49(X0))
      | sP12(X0) ),
    inference(resolution,[],[f466,f521]) ).

fof(f867,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | tl(sK48(X0)) = sK25(sK48(X0))
      | sP12(X0) ),
    inference(resolution,[],[f466,f520]) ).

fof(f866,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | tl(sK45(X0)) = sK25(sK45(X0))
      | sP10(X0) ),
    inference(resolution,[],[f466,f510]) ).

fof(f865,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | tl(sK44(X0)) = sK25(sK44(X0))
      | sP10(X0) ),
    inference(resolution,[],[f466,f509]) ).

fof(f864,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | tl(sK43(X0)) = sK25(sK43(X0))
      | sP10(X0) ),
    inference(resolution,[],[f466,f508]) ).

fof(f863,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | tl(sK40(X0)) = sK25(sK40(X0))
      | sP8(X0) ),
    inference(resolution,[],[f466,f498]) ).

fof(f862,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | tl(sK39(X0)) = sK25(sK39(X0))
      | sP8(X0) ),
    inference(resolution,[],[f466,f497]) ).

fof(f861,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | tl(sK38(X0)) = sK25(sK38(X0))
      | sP8(X0) ),
    inference(resolution,[],[f466,f496]) ).

fof(f860,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | tl(sK35(X0)) = sK25(sK35(X0))
      | sP6(X0) ),
    inference(resolution,[],[f466,f487]) ).

fof(f859,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | tl(sK34(X0)) = sK25(sK34(X0))
      | sP6(X0) ),
    inference(resolution,[],[f466,f486]) ).

fof(f858,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | tl(sK33(X0)) = sK25(sK33(X0))
      | sP6(X0) ),
    inference(resolution,[],[f466,f485]) ).

fof(f857,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | tl(sK30(X0)) = sK25(sK30(X0))
      | sP4(X0) ),
    inference(resolution,[],[f466,f476]) ).

fof(f856,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | tl(sK29(X0)) = sK25(sK29(X0))
      | sP4(X0) ),
    inference(resolution,[],[f466,f475]) ).

fof(f855,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | tl(sK25(X0)) = sK25(sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f466,f465]) ).

fof(f854,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | tl(sK22(X0)) = sK25(sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f466,f457]) ).

fof(f881,plain,
    ( tl(sK18) = sK25(sK18)
    | spl69_4 ),
    inference(forward_demodulation,[],[f880,f379]) ).

fof(f880,plain,
    ( tl(sK20) = sK25(sK20)
    | spl69_4 ),
    inference(subsumption_resolution,[],[f879,f669]) ).

fof(f849,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(tl(X0)) = sK25(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f466,f461]) ).

fof(f847,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | tl(app(X0,X1)) = sK25(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f466,f565]) ).

fof(f876,plain,
    ! [X0,X1] :
      ( tl(cons(X0,X1)) = sK25(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f846,f556]) ).

fof(f846,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/sandbox2/benchmark/theBenchmark.p',ax76) ).

fof(f837,plain,
    ( hd(sK18) = sK24(sK18)
    | spl69_4 ),
    inference(subsumption_resolution,[],[f810,f669]) ).

fof(f835,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | hd(sK60(X0)) = sK24(sK60(X0))
      | sP16(X0) ),
    inference(resolution,[],[f464,f545]) ).

fof(f834,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | hd(sK59(X0)) = sK24(sK59(X0))
      | sP16(X0) ),
    inference(resolution,[],[f464,f544]) ).

fof(f833,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | hd(sK58(X0)) = sK24(sK58(X0))
      | sP16(X0) ),
    inference(resolution,[],[f464,f543]) ).

fof(f832,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | hd(sK55(X0)) = sK24(sK55(X0))
      | sP14(X0) ),
    inference(resolution,[],[f464,f534]) ).

fof(f831,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | hd(sK54(X0)) = sK24(sK54(X0))
      | sP14(X0) ),
    inference(resolution,[],[f464,f533]) ).

fof(f830,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | hd(sK53(X0)) = sK24(sK53(X0))
      | sP14(X0) ),
    inference(resolution,[],[f464,f532]) ).

fof(f829,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | hd(sK50(X0)) = sK24(sK50(X0))
      | sP12(X0) ),
    inference(resolution,[],[f464,f522]) ).

fof(f828,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | hd(sK49(X0)) = sK24(sK49(X0))
      | sP12(X0) ),
    inference(resolution,[],[f464,f521]) ).

fof(f827,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | hd(sK48(X0)) = sK24(sK48(X0))
      | sP12(X0) ),
    inference(resolution,[],[f464,f520]) ).

fof(f826,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | hd(sK45(X0)) = sK24(sK45(X0))
      | sP10(X0) ),
    inference(resolution,[],[f464,f510]) ).

fof(f825,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | hd(sK44(X0)) = sK24(sK44(X0))
      | sP10(X0) ),
    inference(resolution,[],[f464,f509]) ).

fof(f824,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | hd(sK43(X0)) = sK24(sK43(X0))
      | sP10(X0) ),
    inference(resolution,[],[f464,f508]) ).

fof(f823,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | hd(sK40(X0)) = sK24(sK40(X0))
      | sP8(X0) ),
    inference(resolution,[],[f464,f498]) ).

fof(f822,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | hd(sK39(X0)) = sK24(sK39(X0))
      | sP8(X0) ),
    inference(resolution,[],[f464,f497]) ).

fof(f821,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | hd(sK38(X0)) = sK24(sK38(X0))
      | sP8(X0) ),
    inference(resolution,[],[f464,f496]) ).

fof(f820,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | hd(sK35(X0)) = sK24(sK35(X0))
      | sP6(X0) ),
    inference(resolution,[],[f464,f487]) ).

fof(f819,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | hd(sK34(X0)) = sK24(sK34(X0))
      | sP6(X0) ),
    inference(resolution,[],[f464,f486]) ).

fof(f818,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | hd(sK33(X0)) = sK24(sK33(X0))
      | sP6(X0) ),
    inference(resolution,[],[f464,f485]) ).

fof(f817,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | hd(sK30(X0)) = sK24(sK30(X0))
      | sP4(X0) ),
    inference(resolution,[],[f464,f476]) ).

fof(f816,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | hd(sK29(X0)) = sK24(sK29(X0))
      | sP4(X0) ),
    inference(resolution,[],[f464,f475]) ).

fof(f815,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | hd(sK25(X0)) = sK24(sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f464,f465]) ).

fof(f814,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | hd(sK22(X0)) = sK24(sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f464,f457]) ).

fof(f841,plain,
    ( hd(sK18) = sK24(sK18)
    | spl69_4 ),
    inference(forward_demodulation,[],[f840,f379]) ).

fof(f840,plain,
    ( hd(sK20) = sK24(sK20)
    | spl69_4 ),
    inference(subsumption_resolution,[],[f839,f669]) ).

fof(f809,plain,
    ! [X0] :
      ( nil = tl(X0)
      | hd(tl(X0)) = sK24(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f464,f461]) ).

fof(f807,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | hd(app(X0,X1)) = sK24(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f464,f565]) ).

fof(f836,plain,
    ! [X0,X1] :
      ( hd(cons(X0,X1)) = sK24(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f806,f556]) ).

fof(f806,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | hd(cons(X0,X1)) = sK24(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f464,f555]) ).

fof(f805,plain,
    ! [X0,X1] :
      ( nil = X0
      | ~ sP2(X0,X1)
      | ~ lt(hd(X0),X1)
      | ~ ssItem(X1)
      | ~ ssItem(hd(X0)) ),
    inference(resolution,[],[f442,f407]) ).

fof(f804,plain,
    ! [X0,X1] :
      ( nil = X0
      | ~ sP2(X0,X1)
      | leq(X1,hd(X0))
      | ~ ssItem(hd(X0))
      | ~ ssItem(X1) ),
    inference(resolution,[],[f442,f417]) ).

fof(f803,plain,
    ! [X0] :
      ( nil = X0
      | ~ sP2(X0,hd(X0))
      | ~ ssItem(hd(X0)) ),
    inference(resolution,[],[f442,f395]) ).

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/sandbox2/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/sandbox2/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] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f256,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f122]) ).

fof(f122,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/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f788,plain,
    ! [X0] :
      ( sK60(X0) = app(nil,sK60(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f737,f681]) ).

fof(f737,plain,
    ! [X0] :
      ( sP16(X0)
      | sK60(X0) = app(nil,sK60(X0)) ),
    inference(resolution,[],[f456,f545]) ).

fof(f787,plain,
    ! [X0] :
      ( sK59(X0) = app(nil,sK59(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f736,f681]) ).

fof(f736,plain,
    ! [X0] :
      ( sP16(X0)
      | sK59(X0) = app(nil,sK59(X0)) ),
    inference(resolution,[],[f456,f544]) ).

fof(f786,plain,
    ! [X0] :
      ( sK58(X0) = app(nil,sK58(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f735,f681]) ).

fof(f735,plain,
    ! [X0] :
      ( sP16(X0)
      | sK58(X0) = app(nil,sK58(X0)) ),
    inference(resolution,[],[f456,f543]) ).

fof(f785,plain,
    ! [X0] :
      ( sK55(X0) = app(nil,sK55(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f734,f679]) ).

fof(f734,plain,
    ! [X0] :
      ( sP14(X0)
      | sK55(X0) = app(nil,sK55(X0)) ),
    inference(resolution,[],[f456,f534]) ).

fof(f784,plain,
    ! [X0] :
      ( sK54(X0) = app(nil,sK54(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f733,f679]) ).

fof(f733,plain,
    ! [X0] :
      ( sP14(X0)
      | sK54(X0) = app(nil,sK54(X0)) ),
    inference(resolution,[],[f456,f533]) ).

fof(f783,plain,
    ! [X0] :
      ( sK53(X0) = app(nil,sK53(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f732,f679]) ).

fof(f732,plain,
    ! [X0] :
      ( sP14(X0)
      | sK53(X0) = app(nil,sK53(X0)) ),
    inference(resolution,[],[f456,f532]) ).

fof(f781,plain,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1) ),
    inference(duplicate_literal_removal,[],[f780]) ).

fof(f780,plain,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f411,f405]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | ~ lt(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f255]) ).

fof(f255,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( gt(X0,X1)
              | ~ lt(X1,X0) )
            & ( lt(X1,X0)
              | ~ gt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f121]) ).

fof(f121,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/sandbox2/benchmark/theBenchmark.p',ax35) ).

fof(f731,plain,
    ! [X0] :
      ( sP12(X0)
      | sK50(X0) = app(nil,sK50(X0)) ),
    inference(resolution,[],[f456,f522]) ).

fof(f730,plain,
    ! [X0] :
      ( sP12(X0)
      | sK49(X0) = app(nil,sK49(X0)) ),
    inference(resolution,[],[f456,f521]) ).

fof(f729,plain,
    ! [X0] :
      ( sP12(X0)
      | sK48(X0) = app(nil,sK48(X0)) ),
    inference(resolution,[],[f456,f520]) ).

fof(f728,plain,
    ! [X0] :
      ( sP10(X0)
      | sK45(X0) = app(nil,sK45(X0)) ),
    inference(resolution,[],[f456,f510]) ).

fof(f727,plain,
    ! [X0] :
      ( sP10(X0)
      | sK44(X0) = app(nil,sK44(X0)) ),
    inference(resolution,[],[f456,f509]) ).

fof(f726,plain,
    ! [X0] :
      ( sP10(X0)
      | sK43(X0) = app(nil,sK43(X0)) ),
    inference(resolution,[],[f456,f508]) ).

fof(f725,plain,
    ! [X0] :
      ( sP8(X0)
      | sK40(X0) = app(nil,sK40(X0)) ),
    inference(resolution,[],[f456,f498]) ).

fof(f724,plain,
    ! [X0] :
      ( sP8(X0)
      | sK39(X0) = app(nil,sK39(X0)) ),
    inference(resolution,[],[f456,f497]) ).

fof(f723,plain,
    ! [X0] :
      ( sP8(X0)
      | sK38(X0) = app(nil,sK38(X0)) ),
    inference(resolution,[],[f456,f496]) ).

fof(f722,plain,
    ! [X0] :
      ( sP6(X0)
      | sK35(X0) = app(nil,sK35(X0)) ),
    inference(resolution,[],[f456,f487]) ).

fof(f721,plain,
    ! [X0] :
      ( sP6(X0)
      | sK34(X0) = app(nil,sK34(X0)) ),
    inference(resolution,[],[f456,f486]) ).

fof(f410,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | lt(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f255]) ).

fof(f720,plain,
    ! [X0] :
      ( sP6(X0)
      | sK33(X0) = app(nil,sK33(X0)) ),
    inference(resolution,[],[f456,f485]) ).

fof(f719,plain,
    ! [X0] :
      ( sP4(X0)
      | sK30(X0) = app(nil,sK30(X0)) ),
    inference(resolution,[],[f456,f476]) ).

fof(f718,plain,
    ! [X0] :
      ( sP4(X0)
      | sK29(X0) = app(nil,sK29(X0)) ),
    inference(resolution,[],[f456,f475]) ).

fof(f778,plain,
    ! [X0] :
      ( sK60(X0) = app(sK60(X0),nil)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f710,f681]) ).

fof(f710,plain,
    ! [X0] :
      ( sP16(X0)
      | sK60(X0) = app(sK60(X0),nil) ),
    inference(resolution,[],[f455,f545]) ).

fof(f777,plain,
    ! [X0] :
      ( sK59(X0) = app(sK59(X0),nil)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f709,f681]) ).

fof(f709,plain,
    ! [X0] :
      ( sP16(X0)
      | sK59(X0) = app(sK59(X0),nil) ),
    inference(resolution,[],[f455,f544]) ).

fof(f776,plain,
    ! [X0] :
      ( sK58(X0) = app(sK58(X0),nil)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f708,f681]) ).

fof(f708,plain,
    ! [X0] :
      ( sP16(X0)
      | sK58(X0) = app(sK58(X0),nil) ),
    inference(resolution,[],[f455,f543]) ).

fof(f775,plain,
    ! [X0] :
      ( sK55(X0) = app(sK55(X0),nil)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f707,f679]) ).

fof(f707,plain,
    ! [X0] :
      ( sP14(X0)
      | sK55(X0) = app(sK55(X0),nil) ),
    inference(resolution,[],[f455,f534]) ).

fof(f774,plain,
    ! [X0] :
      ( sK54(X0) = app(sK54(X0),nil)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f706,f679]) ).

fof(f706,plain,
    ! [X0] :
      ( sP14(X0)
      | sK54(X0) = app(sK54(X0),nil) ),
    inference(resolution,[],[f455,f533]) ).

fof(f773,plain,
    ! [X0] :
      ( sK53(X0) = app(sK53(X0),nil)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f705,f679]) ).

fof(f705,plain,
    ! [X0] :
      ( sP14(X0)
      | sK53(X0) = app(sK53(X0),nil) ),
    inference(resolution,[],[f455,f532]) ).

fof(f704,plain,
    ! [X0] :
      ( sP12(X0)
      | sK50(X0) = app(sK50(X0),nil) ),
    inference(resolution,[],[f455,f522]) ).

fof(f703,plain,
    ! [X0] :
      ( sP12(X0)
      | sK49(X0) = app(sK49(X0),nil) ),
    inference(resolution,[],[f455,f521]) ).

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/sandbox2/benchmark/theBenchmark.p',ax33) ).

fof(f702,plain,
    ! [X0] :
      ( sP12(X0)
      | sK48(X0) = app(sK48(X0),nil) ),
    inference(resolution,[],[f455,f520]) ).

fof(f701,plain,
    ! [X0] :
      ( sP10(X0)
      | sK45(X0) = app(sK45(X0),nil) ),
    inference(resolution,[],[f455,f510]) ).

fof(f700,plain,
    ! [X0] :
      ( sP10(X0)
      | sK44(X0) = app(sK44(X0),nil) ),
    inference(resolution,[],[f455,f509]) ).

fof(f699,plain,
    ! [X0] :
      ( sP10(X0)
      | sK43(X0) = app(sK43(X0),nil) ),
    inference(resolution,[],[f455,f508]) ).

fof(f698,plain,
    ! [X0] :
      ( sP8(X0)
      | sK40(X0) = app(sK40(X0),nil) ),
    inference(resolution,[],[f455,f498]) ).

fof(f697,plain,
    ! [X0] :
      ( sP8(X0)
      | sK39(X0) = app(sK39(X0),nil) ),
    inference(resolution,[],[f455,f497]) ).

fof(f696,plain,
    ! [X0] :
      ( sP8(X0)
      | sK38(X0) = app(sK38(X0),nil) ),
    inference(resolution,[],[f455,f496]) ).

fof(f695,plain,
    ! [X0] :
      ( sP6(X0)
      | sK35(X0) = app(sK35(X0),nil) ),
    inference(resolution,[],[f455,f487]) ).

fof(f694,plain,
    ! [X0] :
      ( sP6(X0)
      | sK34(X0) = app(sK34(X0),nil) ),
    inference(resolution,[],[f455,f486]) ).

fof(f693,plain,
    ! [X0] :
      ( sP6(X0)
      | sK33(X0) = app(sK33(X0),nil) ),
    inference(resolution,[],[f455,f485]) ).

fof(f692,plain,
    ! [X0] :
      ( sP4(X0)
      | sK30(X0) = app(sK30(X0),nil) ),
    inference(resolution,[],[f455,f476]) ).

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/sandbox2/benchmark/theBenchmark.p',ax94) ).

fof(f691,plain,
    ! [X0] :
      ( sP4(X0)
      | sK29(X0) = app(sK29(X0),nil) ),
    inference(resolution,[],[f455,f475]) ).

fof(f766,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X0) = app(app(X1,X0),nil) ),
    inference(resolution,[],[f565,f455]) ).

fof(f765,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X0) = app(nil,app(X1,X0)) ),
    inference(resolution,[],[f565,f456]) ).

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/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f764,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,X1),nil) ),
    inference(resolution,[],[f555,f455]) ).

fof(f763,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | 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/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f553,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f349]) ).

fof(f349,plain,
    ! [X0] :
      ( ( ( rearsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ rearsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f177]) ).

fof(f177,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/sandbox2/benchmark/theBenchmark.p',ax52) ).

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/sandbox2/benchmark/theBenchmark.p',ax58) ).

fof(f549,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f347,plain,
    ! [X0] :
      ( ( ( frontsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ frontsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f175]) ).

fof(f175,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/sandbox2/benchmark/theBenchmark.p',ax46) ).

fof(f747,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | sK25(X0) = app(sK25(X0),nil) ),
    inference(resolution,[],[f465,f455]) ).

fof(f746,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(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(f745,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | tl(X0) = app(tl(X0),nil) ),
    inference(resolution,[],[f461,f455]) ).

fof(f744,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax22) ).

fof(f458,plain,
    ! [X0] :
      ( ssItem(sK23(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f743,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | sK22(X0) = app(sK22(X0),nil) ),
    inference(resolution,[],[f457,f455]) ).

fof(f742,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(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(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(f536,plain,
    ! [X0] :
      ( ~ leq(sK51(X0),sK52(X0))
      | 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(f525,plain,
    ! [X0] :
      ( leq(sK47(X0),sK46(X0))
      | 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(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(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(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(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(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(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(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(f478,plain,
    ! [X0] :
      ( sK27(X0) != sK28(X0)
      | 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(f739,plain,
    sK19 = app(nil,sK19),
    inference(forward_demodulation,[],[f717,f378]) ).

fof(f717,plain,
    sK21 = app(nil,sK21),
    inference(resolution,[],[f456,f377]) ).

fof(f738,plain,
    sK18 = app(nil,sK18),
    inference(forward_demodulation,[],[f716,f379]) ).

fof(f716,plain,
    sK20 = app(nil,sK20),
    inference(resolution,[],[f456,f376]) ).

fof(f687,plain,
    sK18 = app(sK18,nil),
    inference(resolution,[],[f455,f374]) ).

fof(f712,plain,
    sK19 = app(sK19,nil),
    inference(forward_demodulation,[],[f690,f378]) ).

fof(f690,plain,
    sK21 = app(sK21,nil),
    inference(resolution,[],[f455,f377]) ).

fof(f711,plain,
    sK18 = app(sK18,nil),
    inference(forward_demodulation,[],[f689,f379]) ).

fof(f689,plain,
    sK20 = app(sK20,nil),
    inference(resolution,[],[f455,f376]) ).

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/sandbox2/benchmark/theBenchmark.p',ax70) ).

fof(f681,plain,
    ! [X0] :
      ( ~ sP16(X0)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f539,f548]) ).

fof(f680,plain,
    ! [X0] :
      ( sP16(X0)
      | ~ strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f538,f548]) ).

fof(f679,plain,
    ! [X0] :
      ( ~ sP14(X0)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f528,f537]) ).

fof(f678,plain,
    ! [X0] :
      ( sP14(X0)
      | ~ totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f527,f537]) ).

fof(f677,plain,
    ! [X0] :
      ( sP12(X0)
      | ~ cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f515,f526]) ).

fof(f676,plain,
    ! [X0] :
      ( sP10(X0)
      | ~ strictorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f503,f514]) ).

fof(f675,plain,
    ! [X0] :
      ( sP8(X0)
      | ~ totalorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f491,f502]) ).

fof(f674,plain,
    ! [X0] :
      ( sP6(X0)
      | ~ duplicatefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f480,f490]) ).

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/sandbox2/benchmark/theBenchmark.p',ax67) ).

fof(f673,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(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(f233,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> sP6(X0) )
      | ~ sP7(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

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

fof(f110,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/sandbox2/benchmark/theBenchmark.p',ax65) ).

fof(f403,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,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/sandbox2/benchmark/theBenchmark.p',ax68) ).

fof(f402,plain,
    ! [X0] :
      ( totalorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,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/sandbox2/benchmark/theBenchmark.p',ax61) ).

fof(f401,plain,
    ! [X0] :
      ( strictorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,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/sandbox2/benchmark/theBenchmark.p',ax63) ).

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/sandbox2/benchmark/theBenchmark.p',ax59) ).

fof(f399,plain,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,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/sandbox2/benchmark/theBenchmark.p',ax73) ).

fof(f398,plain,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,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/sandbox2/benchmark/theBenchmark.p',ax71) ).

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,f410,f413,f635,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,[],[f412]) ).

fof(f412,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f256]) ).

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] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0] :
      ( ssList(X0)
     => rearsegP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).

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/sandbox2/benchmark/theBenchmark.p',ax49) ).

fof(f452,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).

fof(f451,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).

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

fof(f141,plain,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).

fof(f449,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).

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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax38) ).

fof(f669,plain,
    ( nil != sK18
    | spl69_4 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f668,plain,
    ( spl69_4
  <=> nil = sK18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).

fof(f642,plain,
    ( nil = sK18
    | nil != sK21 ),
    inference(forward_demodulation,[],[f381,f379]) ).

fof(f658,plain,
    neq(sK18,nil),
    inference(subsumption_resolution,[],[f657,f380]) ).

fof(f657,plain,
    ( ~ neq(sK19,nil)
    | neq(sK18,nil) ),
    inference(forward_demodulation,[],[f652,f378]) ).

fof(f652,plain,
    ( neq(sK18,nil)
    | ~ neq(sK21,nil) ),
    inference(forward_demodulation,[],[f383,f379]) ).

fof(f382,plain,
    ( ~ segmentP(sK19,sK18)
    | ~ neq(sK18,nil) ),
    inference(cnf_transformation,[],[f254]) ).

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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax9) ).

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(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/sandbox2/benchmark/theBenchmark.p',ax13) ).

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/sandbox2/benchmark/theBenchmark.p',ax14) ).

fof(f638,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,f410,f413,f635,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,f410,f413,f635,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,
    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,f410,f413,f635,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(f600,plain,
    ssItem(sK68),
    inference(cnf_transformation,[],[f373]) ).

fof(f392,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).

fof(f391,plain,
    totalorderedP(nil),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).

fof(f390,plain,
    strictorderP(nil),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).

fof(f389,plain,
    totalorderP(nil),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).

fof(f388,plain,
    cyclefreeP(nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).

fof(f387,plain,
    duplicatefreeP(nil),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).

fof(f386,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).

fof(f377,plain,
    ssList(sK21),
    inference(cnf_transformation,[],[f254]) ).

fof(f376,plain,
    ssList(sK20),
    inference(cnf_transformation,[],[f254]) ).

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/sandbox2/benchmark/theBenchmark.p',ax56) ).

fof(f597,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X1,X2)
      | rearsegP(X0,X2)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(X0,X2)
              | ~ rearsegP(X1,X2)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f219]) ).

fof(f219,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/sandbox2/benchmark/theBenchmark.p',ax47) ).

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/sandbox2/benchmark/theBenchmark.p',ax53) ).

fof(f595,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X1,X2)
      | frontsegP(X0,X2)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(X0,X2)
              | ~ frontsegP(X1,X2)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f215]) ).

fof(f215,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/sandbox2/benchmark/theBenchmark.p',ax40) ).

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/sandbox2/benchmark/theBenchmark.p',ax80) ).

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/sandbox2/benchmark/theBenchmark.p',ax79) ).

fof(f592,plain,
    ! [X2,X0,X1] :
      ( rearsegP(app(X2,X0),X1)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(app(X2,X0),X1)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f209]) ).

fof(f209,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/sandbox2/benchmark/theBenchmark.p',ax50) ).

fof(f591,plain,
    ! [X2,X0,X1] :
      ( frontsegP(app(X0,X2),X1)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(app(X0,X2),X1)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f207]) ).

fof(f207,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/sandbox2/benchmark/theBenchmark.p',ax43) ).

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/sandbox2/benchmark/theBenchmark.p',ax82) ).

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(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/sandbox2/benchmark/theBenchmark.p',ax19) ).

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(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/sandbox2/benchmark/theBenchmark.p',ax27) ).

fof(f584,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X1
      | ~ 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/sandbox2/benchmark/theBenchmark.p',ax83) ).

fof(f585,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f370]) ).

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

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

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(f575,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | app(X1,sK63(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f359]) ).

fof(f624,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2)) ),
    inference(equality_resolution,[],[f576]) ).

fof(f576,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | app(X1,X2) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f359]) ).

fof(f571,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X1,X0)
      | X0 = X1
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X1,X0)
          | ~ rearsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f196]) ).

fof(f196,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/sandbox2/benchmark/theBenchmark.p',ax48) ).

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/sandbox2/benchmark/theBenchmark.p',ax54) ).

fof(f569,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | X0 = X1
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f192]) ).

fof(f192,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/sandbox2/benchmark/theBenchmark.p',ax41) ).

fof(f568,plain,
    ! [X0,X1] :
      ( X0 = X1
      | tl(X0) != tl(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/sandbox2/benchmark/theBenchmark.p',ax77) ).

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/sandbox2/benchmark/theBenchmark.p',ax86) ).

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/sandbox2/benchmark/theBenchmark.p',ax85) ).

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(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(f621,plain,
    ( rearsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f554]) ).

fof(f554,plain,
    ! [X0] :
      ( rearsegP(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,
    ( frontsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f550]) ).

fof(f550,plain,
    ! [X0] :
      ( frontsegP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f618,plain,
    ! [X10,X8,X6,X9,X7] :
      ( lt(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    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(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(f617,plain,
    ! [X10,X8,X6,X9,X7] :
      ( leq(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    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(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(f616,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ leq(X7,X6)
      | ~ leq(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    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(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(f615,plain,
    ! [X10,X8,X6,X9,X7] :
      ( lt(X7,X6)
      | lt(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    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(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(f614,plain,
    ! [X10,X8,X6,X9,X7] :
      ( leq(X7,X6)
      | leq(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    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(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(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(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(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(f477,plain,
    ! [X0] :
      ( sP4(X0)
      | app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0 ),
    inference(cnf_transformation,[],[f292]) ).

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/sandbox2/benchmark/theBenchmark.p',ax36) ).

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(f448,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f273]) ).

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(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/sandbox2/benchmark/theBenchmark.p',ax44) ).

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(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(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(f426,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f261]) ).

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/sandbox2/benchmark/theBenchmark.p',ax34) ).

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/sandbox2/benchmark/theBenchmark.p',ax91) ).

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/sandbox2/benchmark/theBenchmark.p',ax30) ).

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/sandbox2/benchmark/theBenchmark.p',ax88) ).

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/sandbox2/benchmark/theBenchmark.p',ax95) ).

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(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/sandbox2/benchmark/theBenchmark.p',ax29) ).

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/sandbox2/benchmark/theBenchmark.p',ax87) ).

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/sandbox2/benchmark/theBenchmark.p',ax92) ).

fof(f381,plain,
    ( nil != sK21
    | nil = sK20 ),
    inference(cnf_transformation,[],[f254]) ).

fof(f383,plain,
    ( neq(sK20,nil)
    | ~ neq(sK21,nil) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f6217,plain,
    ( ~ singletonP(sK18)
    | ~ ssList(sK18)
    | spl69_49 ),
    inference(resolution,[],[f6210,f467]) ).

fof(f6210,plain,
    ( ~ ssItem(sK26(sK18))
    | spl69_49 ),
    inference(avatar_component_clause,[],[f6208]) ).

fof(f6208,plain,
    ( spl69_49
  <=> ssItem(sK26(sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_49])]) ).

fof(f6215,plain,
    ( ~ spl69_49
    | spl69_50
    | spl69_4
    | ~ spl69_11
    | ~ spl69_45
    | ~ spl69_47 ),
    inference(avatar_split_clause,[],[f6203,f6071,f5592,f1741,f668,f6212,f6208]) ).

fof(f6212,plain,
    ( spl69_50
  <=> memberP(sK18,sK26(sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_50])]) ).

fof(f6203,plain,
    ( memberP(sK18,sK26(sK18))
    | ~ ssItem(sK26(sK18))
    | spl69_4
    | ~ spl69_11
    | ~ spl69_45
    | ~ spl69_47 ),
    inference(subsumption_resolution,[],[f6193,f393]) ).

fof(f6193,plain,
    ( memberP(sK18,sK26(sK18))
    | ~ ssList(nil)
    | ~ ssItem(sK26(sK18))
    | spl69_4
    | ~ spl69_11
    | ~ spl69_45
    | ~ spl69_47 ),
    inference(superposition,[],[f633,f6160]) ).

fof(f6160,plain,
    ( sK18 = cons(sK26(sK18),nil)
    | spl69_4
    | ~ spl69_11
    | ~ spl69_45
    | ~ spl69_47 ),
    inference(subsumption_resolution,[],[f6155,f374]) ).

fof(f6155,plain,
    ( sK18 = cons(sK26(sK18),nil)
    | ~ ssList(sK18)
    | spl69_4
    | ~ spl69_11
    | ~ spl69_45
    | ~ spl69_47 ),
    inference(resolution,[],[f6131,f468]) ).

fof(f6078,plain,
    ( spl69_47
    | spl69_48
    | spl69_4
    | ~ spl69_5
    | ~ spl69_11
    | ~ spl69_13 ),
    inference(avatar_split_clause,[],[f5319,f1760,f1741,f1536,f668,f6075,f6071]) ).

fof(f6075,plain,
    ( spl69_48
  <=> hd(tl(sK18)) = sK24(tl(sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_48])]) ).

fof(f1536,plain,
    ( spl69_5
  <=> ssItem(sK23(sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).

fof(f1760,plain,
    ( spl69_13
  <=> ssList(sK22(sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_13])]) ).

fof(f5319,plain,
    ( hd(tl(sK18)) = sK24(tl(sK18))
    | nil = tl(sK18)
    | spl69_4
    | ~ spl69_5
    | ~ spl69_11
    | ~ spl69_13 ),
    inference(forward_demodulation,[],[f5318,f2122]) ).

fof(f2122,plain,
    ( tl(sK18) = sK22(sK18)
    | spl69_4
    | ~ spl69_5
    | ~ spl69_11
    | ~ spl69_13 ),
    inference(forward_demodulation,[],[f2100,f1923]) ).

fof(f1923,plain,
    ( sK18 = cons(hd(sK18),sK22(sK18))
    | spl69_4
    | ~ spl69_5
    | ~ spl69_13 ),
    inference(superposition,[],[f1653,f1919]) ).

fof(f1919,plain,
    ( hd(sK18) = sK23(sK18)
    | spl69_4
    | ~ spl69_5
    | ~ spl69_13 ),
    inference(forward_demodulation,[],[f1899,f1653]) ).

fof(f1899,plain,
    ( sK23(sK18) = hd(cons(sK23(sK18),sK22(sK18)))
    | ~ spl69_5
    | ~ spl69_13 ),
    inference(resolution,[],[f1779,f1537]) ).

fof(f1537,plain,
    ( ssItem(sK23(sK18))
    | ~ spl69_5 ),
    inference(avatar_component_clause,[],[f1536]) ).

fof(f1779,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK22(sK18))) = X0 )
    | ~ spl69_13 ),
    inference(resolution,[],[f1761,f559]) ).

fof(f1761,plain,
    ( ssList(sK22(sK18))
    | ~ spl69_13 ),
    inference(avatar_component_clause,[],[f1760]) ).

fof(f1653,plain,
    ( sK18 = cons(sK23(sK18),sK22(sK18))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558,f1648,f1375,f1649,f1555,f1650,f1421,f1651,f1552,f1652,f1475]) ).

fof(f1652,plain,
    ( sK19 = tl(cons(sK24(sK18),sK19))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558,f1648,f1375,f1649,f1555,f1650,f1421,f1651,f1552]) ).

fof(f1651,plain,
    ( sK19 = tl(cons(sK24(sK18),sK19))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558,f1648,f1375,f1649,f1555,f1650,f1421]) ).

fof(f1650,plain,
    ( sK19 = tl(cons(sK23(sK18),sK19))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558,f1648,f1375,f1649,f1555]) ).

fof(f1649,plain,
    ( sK19 = tl(cons(sK23(sK18),sK19))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558,f1648,f1375]) ).

fof(f1648,plain,
    ( sK19 = tl(cons(hd(sK18),sK19))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321,f1647,f1558]) ).

fof(f1647,plain,
    ( sK19 = tl(cons(hd(sK18),sK19))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561,f1646,f1321]) ).

fof(f1646,plain,
    ( sK18 = tl(cons(sK24(sK18),sK18))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273,f1645,f1561]) ).

fof(f1645,plain,
    ( sK18 = tl(cons(sK24(sK18),sK18))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564,f1644,f1273]) ).

fof(f1644,plain,
    ( sK18 = tl(cons(sK23(sK18),sK18))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227,f1643,f1564]) ).

fof(f1643,plain,
    ( sK18 = tl(cons(sK23(sK18),sK18))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567,f1642,f1227]) ).

fof(f1642,plain,
    ( sK18 = tl(cons(hd(sK18),sK18))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172,f1641,f1567]) ).

fof(f1641,plain,
    ( sK18 = tl(cons(hd(sK18),sK18))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570,f1640,f1172]) ).

fof(f1640,plain,
    ( tl(sK18) = sK25(sK18)
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850,f1639,f1570]) ).

fof(f1639,plain,
    ( tl(sK18) = sK25(sK18)
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f1570,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573,f1638,f850]) ).

fof(f1638,plain,
    ( hd(sK18) = sK24(sK18)
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f1570,f850,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810,f1637,f1573]) ).

fof(f1637,plain,
    ( hd(sK18) = sK24(sK18)
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f1570,f850,f1573,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593,f1636,f810]) ).

fof(f1636,plain,
    ( sK18 = cons(hd(sK18),tl(sK18))
    | spl69_4 ),
    inference(global_subsumption,[],[f384,f383,f381,f406,f408,f409,f418,f634,f419,f420,f421,f422,f423,f426,f424,f632,f428,f427,f448,f447,f446,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,f385,f386,f387,f388,f389,f390,f391,f392,f393,f599,f600,f378,f379,f380,f601,f606,f608,f636,f637,f638,f479,f490,f502,f514,f526,f537,f548,f382,f658,f662,f642,f669,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,f673,f437,f674,f675,f676,f677,f678,f679,f680,f681,f445,f455,f711,f712,f687,f456,f738,f739,f688,f714,f715,f467,f478,f489,f500,f501,f512,f513,f524,f525,f536,f547,f433,f441,f457,f742,f743,f458,f460,f461,f744,f745,f463,f465,f746,f747,f549,f551,f553,f555,f763,f764,f565,f765,f766,f556,f557,f633,f691,f405,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f407,f703,f704,f705,f773,f706,f774,f707,f775,f708,f776,f709,f777,f710,f778,f718,f719,f720,f410,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f411,f781,f732,f783,f733,f784,f734,f785,f735,f786,f736,f787,f737,f788,f413,f414,f415,f417,f430,f431,f434,f438,f439,f442,f803,f804,f805,f464,f836,f807,f809,f841,f814,f815,f816,f817,f818,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f837,f466,f876,f847,f849,f881,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,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,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,f1012,f1014,f1015,f1013,f1017,f1018,f967,f1020,f1021,f1022,f1038,f1040,f1041,f1039,f1043,f1044,f922,f923,f573,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f610,f1054,f935,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f561,f1056,f1057,f1058,f1059,f1060,f1061,f954,f955,f956,f957,f998,f999,f1000,f1001,f1002,f1003,f1004,f562,f1066,f1067,f1068,f1069,f1070,f1071,f1005,f1006,f1007,f1008,f1009,f1010,f1074,f1011,f1075,f1024,f1025,f1026,f1027,f574,f1076,f1077,f1078,f1079,f1080,f1081,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1082,f1035,f1083,f1036,f1084,f1037,f1085,f888,f1086,f1087,f1088,f1089,f577,f1106,f1107,f1108,f1109,f1110,f1111,f1104,f1105,f964,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1130,f1131,f1132,f1134,f1135,f1133,f1137,f1138,f921,f1141,f943,f1143,f1050,f1144,f1051,f1145,f1052,f1146,f1055,f1147,f578,f1148,f1149,f1150,f1151,f1152,f1153,f1062,f1154,f1063,f1155,f1064,f1156,f1065,f1157,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f581,f1158,f1159,f1160,f1161,f1162,f1163,f1097,f1098,f1099,f1100,f1164,f1101,f1165,f1102,f1166,f1103,f1167,f918,f1204,f1169,f1171,f1209,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1205,f436,f1215,f1216,f1217,f1218,f1219,f1220,f1221,f919,f1259,f1224,f1226,f1264,f1231,f1232,f1233,f1234,f1235,f1236,f1237,f1238,f1239,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1260,f920,f1305,f1270,f1272,f1277,f1278,f1279,f1280,f1281,f1282,f1283,f1284,f1285,f1286,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f940,f1353,f1318,f1320,f1358,f1325,f1326,f1327,f1328,f1329,f1330,f1331,f1332,f1333,f1334,f1335,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1354,f444,f1364,f1365,f1366,f1367,f1368,f1369,f941,f1407,f1372,f1374,f1412,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1396,f1397,f1398,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1408,f942,f1453,f1418,f1420,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f997,f1466,f1023,f1468,f1072,f1469,f1073,f1470,f459,f1507,f1472,f1474,f1512,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1508,f1515,f1516,f1517,f1518,f1521,f1522,f1524,f1549,f1475,f1552,f1421,f1555,f1375,f1558,f1321,f1561,f1273,f1564,f1227,f1567,f1172,f1570,f850,f1573,f810,f462,f1625,f1590,f1592,f1597,f1598,f1599,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1634,f1635,f1593]) ).

fof(f1593,plain,
    ( nil = sK18
    | sK18 = cons(hd(sK18),tl(sK18)) ),
    inference(resolution,[],[f462,f374]) ).

fof(f2100,plain,
    ( sK22(sK18) = tl(cons(hd(sK18),sK22(sK18)))
    | ~ spl69_11
    | ~ spl69_13 ),
    inference(resolution,[],[f1778,f1742]) ).

fof(f1778,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | sK22(sK18) = tl(cons(X0,sK22(sK18))) )
    | ~ spl69_13 ),
    inference(resolution,[],[f1761,f558]) ).

fof(f5318,plain,
    ( nil = tl(sK18)
    | hd(sK22(sK18)) = sK24(sK22(sK18))
    | spl69_4
    | ~ spl69_5
    | ~ spl69_11
    | ~ spl69_13 ),
    inference(forward_demodulation,[],[f1776,f2122]) ).

fof(f1776,plain,
    ( nil = sK22(sK18)
    | hd(sK22(sK18)) = sK24(sK22(sK18))
    | ~ spl69_13 ),
    inference(resolution,[],[f1761,f464]) ).

fof(f5603,plain,
    ( ~ spl69_11
    | spl69_45 ),
    inference(avatar_contradiction_clause,[],[f5602]) ).

fof(f5602,plain,
    ( $false
    | ~ spl69_11
    | spl69_45 ),
    inference(subsumption_resolution,[],[f5601,f393]) ).

fof(f5601,plain,
    ( ~ ssList(nil)
    | ~ spl69_11
    | spl69_45 ),
    inference(subsumption_resolution,[],[f5600,f1742]) ).

fof(f5600,plain,
    ( ~ ssItem(hd(sK18))
    | ~ ssList(nil)
    | spl69_45 ),
    inference(resolution,[],[f5594,f555]) ).

fof(f5594,plain,
    ( ~ ssList(cons(hd(sK18),nil))
    | spl69_45 ),
    inference(avatar_component_clause,[],[f5592]) ).

fof(f5599,plain,
    ( ~ spl69_45
    | spl69_46
    | ~ spl69_11 ),
    inference(avatar_split_clause,[],[f5506,f1741,f5596,f5592]) ).

fof(f5596,plain,
    ( spl69_46
  <=> ssList(cons(hd(sK18),sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_46])]) ).

fof(f5506,plain,
    ( ssList(cons(hd(sK18),sK18))
    | ~ ssList(cons(hd(sK18),nil))
    | ~ spl69_11 ),
    inference(subsumption_resolution,[],[f5492,f374]) ).

fof(f5492,plain,
    ( ssList(cons(hd(sK18),sK18))
    | ~ ssList(sK18)
    | ~ ssList(cons(hd(sK18),nil))
    | ~ spl69_11 ),
    inference(superposition,[],[f565,f2410]) ).

fof(f2410,plain,
    ( cons(hd(sK18),sK18) = app(cons(hd(sK18),nil),sK18)
    | ~ spl69_11 ),
    inference(resolution,[],[f1962,f1742]) ).

fof(f5426,plain,
    ( ~ spl69_9
    | spl69_43 ),
    inference(avatar_contradiction_clause,[],[f5425]) ).

fof(f5425,plain,
    ( $false
    | ~ spl69_9
    | spl69_43 ),
    inference(subsumption_resolution,[],[f5424,f393]) ).

fof(f5424,plain,
    ( ~ ssList(nil)
    | ~ spl69_9
    | spl69_43 ),
    inference(subsumption_resolution,[],[f5423,f1718]) ).

fof(f5423,plain,
    ( ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | spl69_43 ),
    inference(resolution,[],[f5417,f555]) ).

fof(f5417,plain,
    ( ~ ssList(cons(hd(sK19),nil))
    | spl69_43 ),
    inference(avatar_component_clause,[],[f5415]) ).

fof(f5422,plain,
    ( ~ spl69_43
    | spl69_44
    | ~ spl69_9 ),
    inference(avatar_split_clause,[],[f5344,f1717,f5419,f5415]) ).

fof(f5419,plain,
    ( spl69_44
  <=> ssList(cons(hd(sK19),sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_44])]) ).

fof(f5344,plain,
    ( ssList(cons(hd(sK19),sK18))
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_9 ),
    inference(subsumption_resolution,[],[f5330,f374]) ).

fof(f5330,plain,
    ( ssList(cons(hd(sK19),sK18))
    | ~ ssList(sK18)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_9 ),
    inference(superposition,[],[f565,f2409]) ).

fof(f2409,plain,
    ( cons(hd(sK19),sK18) = app(cons(hd(sK19),nil),sK18)
    | ~ spl69_9 ),
    inference(resolution,[],[f1962,f1718]) ).

fof(f5156,plain,
    spl69_41,
    inference(avatar_contradiction_clause,[],[f5155]) ).

fof(f5155,plain,
    ( $false
    | spl69_41 ),
    inference(subsumption_resolution,[],[f5154,f393]) ).

fof(f5154,plain,
    ( ~ ssList(nil)
    | spl69_41 ),
    inference(subsumption_resolution,[],[f5153,f636]) ).

fof(f5153,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_41 ),
    inference(duplicate_literal_removal,[],[f5152]) ).

fof(f5152,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(nil)
    | spl69_41 ),
    inference(resolution,[],[f5146,f574]) ).

fof(f5146,plain,
    ( ~ ssList(sK63(nil,nil))
    | spl69_41 ),
    inference(avatar_component_clause,[],[f5144]) ).

fof(f5144,plain,
    ( spl69_41
  <=> ssList(sK63(nil,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_41])]) ).

fof(f5151,plain,
    ( ~ spl69_41
    | spl69_42
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30
    | ~ spl69_31 ),
    inference(avatar_split_clause,[],[f5142,f3412,f3249,f3245,f3038,f5148,f5144]) ).

fof(f5148,plain,
    ( spl69_42
  <=> nil = sK63(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_42])]) ).

fof(f3245,plain,
    ( spl69_29
  <=> ssList(sK63(sK19,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_29])]) ).

fof(f3249,plain,
    ( spl69_30
  <=> rearsegP(sK19,sK63(sK19,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_30])]) ).

fof(f3412,plain,
    ( spl69_31
  <=> ssList(sK66(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_31])]) ).

fof(f5142,plain,
    ( nil = sK63(nil,nil)
    | ~ ssList(sK63(nil,nil))
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30
    | ~ spl69_31 ),
    inference(trivial_inequality_removal,[],[f5138]) ).

fof(f5138,plain,
    ( nil != nil
    | nil = sK63(nil,nil)
    | ~ ssList(sK63(nil,nil))
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30
    | ~ spl69_31 ),
    inference(superposition,[],[f4800,f2967]) ).

fof(f2967,plain,
    nil = app(nil,sK63(nil,nil)),
    inference(subsumption_resolution,[],[f2966,f393]) ).

fof(f2966,plain,
    ( nil = app(nil,sK63(nil,nil))
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f2959]) ).

fof(f2959,plain,
    ( nil = app(nil,sK63(nil,nil))
    | ~ ssList(nil)
    | ~ ssList(nil) ),
    inference(resolution,[],[f575,f636]) ).

fof(f4800,plain,
    ( ! [X0] :
        ( nil != app(nil,X0)
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30
    | ~ spl69_31 ),
    inference(forward_demodulation,[],[f4799,f4638]) ).

fof(f4638,plain,
    ( nil = sK66(sK19,sK19)
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30
    | ~ spl69_31 ),
    inference(subsumption_resolution,[],[f4637,f3413]) ).

fof(f3413,plain,
    ( ssList(sK66(sK19,sK19))
    | ~ spl69_31 ),
    inference(avatar_component_clause,[],[f3412]) ).

fof(f4637,plain,
    ( nil = sK66(sK19,sK19)
    | ~ ssList(sK66(sK19,sK19))
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(trivial_inequality_removal,[],[f4634]) ).

fof(f4634,plain,
    ( sK19 != sK19
    | nil = sK66(sK19,sK19)
    | ~ ssList(sK66(sK19,sK19))
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(superposition,[],[f4499,f3359]) ).

fof(f3359,plain,
    ( sK19 = app(sK66(sK19,sK19),sK19)
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f3358,f375]) ).

fof(f3358,plain,
    ( sK19 = app(sK66(sK19,sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(duplicate_literal_removal,[],[f3355]) ).

fof(f3355,plain,
    ( sK19 = app(sK66(sK19,sK19),sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(resolution,[],[f3351,f582]) ).

fof(f3351,plain,
    ( rearsegP(sK19,sK19)
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(superposition,[],[f3251,f3343]) ).

fof(f3343,plain,
    ( sK19 = sK63(sK19,nil)
    | ~ spl69_27
    | ~ spl69_29 ),
    inference(forward_demodulation,[],[f3328,f3233]) ).

fof(f3233,plain,
    ( sK19 = app(nil,sK63(sK19,nil))
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f3232,f375]) ).

fof(f3232,plain,
    ( sK19 = app(nil,sK63(sK19,nil))
    | ~ ssList(sK19)
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f3230,f393]) ).

fof(f3230,plain,
    ( sK19 = app(nil,sK63(sK19,nil))
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | ~ spl69_27 ),
    inference(resolution,[],[f3229,f575]) ).

fof(f3229,plain,
    ( frontsegP(sK19,nil)
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f3228,f3039]) ).

fof(f3228,plain,
    ( frontsegP(sK19,nil)
    | ~ ssList(sK66(sK19,sK18))
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f3226,f393]) ).

fof(f3226,plain,
    ( frontsegP(sK19,nil)
    | ~ ssList(nil)
    | ~ ssList(sK66(sK19,sK18))
    | ~ spl69_27 ),
    inference(resolution,[],[f3190,f450]) ).

fof(f3190,plain,
    ( ! [X0] :
        ( ~ frontsegP(sK66(sK19,sK18),X0)
        | frontsegP(sK19,X0)
        | ~ ssList(X0) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f3189,f3039]) ).

fof(f3189,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(sK66(sK19,sK18),X0)
      | ~ ssList(X0)
      | ~ ssList(sK66(sK19,sK18)) ),
    inference(subsumption_resolution,[],[f3159,f374]) ).

fof(f3159,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(sK66(sK19,sK18),X0)
      | ~ ssList(sK18)
      | ~ ssList(X0)
      | ~ ssList(sK66(sK19,sK18)) ),
    inference(superposition,[],[f591,f3026]) ).

fof(f3328,plain,
    ( sK63(sK19,nil) = app(nil,sK63(sK19,nil))
    | ~ spl69_29 ),
    inference(resolution,[],[f3246,f456]) ).

fof(f3246,plain,
    ( ssList(sK63(sK19,nil))
    | ~ spl69_29 ),
    inference(avatar_component_clause,[],[f3245]) ).

fof(f3251,plain,
    ( rearsegP(sK19,sK63(sK19,nil))
    | ~ spl69_30 ),
    inference(avatar_component_clause,[],[f3249]) ).

fof(f4499,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4498,f375]) ).

fof(f4498,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4389,f393]) ).

fof(f4389,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(nil)
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(superposition,[],[f593,f715]) ).

fof(f4799,plain,
    ( ! [X0] :
        ( sK66(sK19,sK19) != app(sK66(sK19,sK19),X0)
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_31 ),
    inference(subsumption_resolution,[],[f4798,f3413]) ).

fof(f4798,plain,
    ( ! [X0] :
        ( sK66(sK19,sK19) != app(sK66(sK19,sK19),X0)
        | nil = X0
        | ~ ssList(sK66(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_31 ),
    inference(subsumption_resolution,[],[f4698,f393]) ).

fof(f4698,plain,
    ( ! [X0] :
        ( sK66(sK19,sK19) != app(sK66(sK19,sK19),X0)
        | nil = X0
        | ~ ssList(nil)
        | ~ ssList(sK66(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_31 ),
    inference(superposition,[],[f594,f3425]) ).

fof(f3425,plain,
    ( sK66(sK19,sK19) = app(sK66(sK19,sK19),nil)
    | ~ spl69_31 ),
    inference(resolution,[],[f3413,f455]) ).

fof(f4182,plain,
    ( ~ spl69_39
    | spl69_40
    | ~ spl69_21 ),
    inference(avatar_split_clause,[],[f3812,f2516,f4179,f4175]) ).

fof(f4175,plain,
    ( spl69_39
  <=> rearsegP(sK19,cons(sK68,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_39])]) ).

fof(f4179,plain,
    ( spl69_40
  <=> sK19 = cons(sK68,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_40])]) ).

fof(f2516,plain,
    ( spl69_21
  <=> ssList(cons(sK68,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_21])]) ).

fof(f3812,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ rearsegP(sK19,cons(sK68,sK19))
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f3811,f375]) ).

fof(f3811,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ rearsegP(sK19,cons(sK68,sK19))
    | ~ ssList(sK19)
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f3808,f3764]) ).

fof(f3764,plain,
    ( ssList(cons(sK68,sK19))
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f3763,f2517]) ).

fof(f2517,plain,
    ( ssList(cons(sK68,nil))
    | ~ spl69_21 ),
    inference(avatar_component_clause,[],[f2516]) ).

fof(f3763,plain,
    ( ssList(cons(sK68,sK19))
    | ~ ssList(cons(sK68,nil)) ),
    inference(subsumption_resolution,[],[f3752,f375]) ).

fof(f3752,plain,
    ( ssList(cons(sK68,sK19))
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f565,f3676]) ).

fof(f3676,plain,
    cons(sK68,sK19) = app(cons(sK68,nil),sK19),
    inference(resolution,[],[f1963,f600]) ).

fof(f3808,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ rearsegP(sK19,cons(sK68,sK19))
    | ~ ssList(cons(sK68,sK19))
    | ~ ssList(sK19)
    | ~ spl69_21 ),
    inference(resolution,[],[f3778,f571]) ).

fof(f3778,plain,
    ( rearsegP(cons(sK68,sK19),sK19)
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f3777,f375]) ).

fof(f3777,plain,
    ( rearsegP(cons(sK68,sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f3758,f2517]) ).

fof(f3758,plain,
    ( rearsegP(cons(sK68,sK19),sK19)
    | ~ ssList(cons(sK68,nil))
    | ~ ssList(sK19) ),
    inference(superposition,[],[f2443,f3676]) ).

fof(f2443,plain,
    ! [X2,X1] :
      ( rearsegP(app(X2,X1),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f626,f565]) ).

fof(f4002,plain,
    ( ~ spl69_37
    | spl69_38
    | ~ spl69_19 ),
    inference(avatar_split_clause,[],[f3741,f2445,f3999,f3995]) ).

fof(f3995,plain,
    ( spl69_37
  <=> rearsegP(sK19,cons(sK67,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_37])]) ).

fof(f3741,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ rearsegP(sK19,cons(sK67,sK19))
    | ~ spl69_19 ),
    inference(subsumption_resolution,[],[f3740,f375]) ).

fof(f3740,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ rearsegP(sK19,cons(sK67,sK19))
    | ~ ssList(sK19)
    | ~ spl69_19 ),
    inference(subsumption_resolution,[],[f3737,f3693]) ).

fof(f3693,plain,
    ( ssList(cons(sK67,sK19))
    | ~ spl69_19 ),
    inference(subsumption_resolution,[],[f3692,f2446]) ).

fof(f3692,plain,
    ( ssList(cons(sK67,sK19))
    | ~ ssList(cons(sK67,nil)) ),
    inference(subsumption_resolution,[],[f3681,f375]) ).

fof(f3681,plain,
    ( ssList(cons(sK67,sK19))
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f565,f3675]) ).

fof(f3737,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ rearsegP(sK19,cons(sK67,sK19))
    | ~ ssList(cons(sK67,sK19))
    | ~ ssList(sK19)
    | ~ spl69_19 ),
    inference(resolution,[],[f3707,f571]) ).

fof(f3707,plain,
    ( rearsegP(cons(sK67,sK19),sK19)
    | ~ spl69_19 ),
    inference(subsumption_resolution,[],[f3706,f375]) ).

fof(f3706,plain,
    ( rearsegP(cons(sK67,sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_19 ),
    inference(subsumption_resolution,[],[f3687,f2446]) ).

fof(f3687,plain,
    ( rearsegP(cons(sK67,sK19),sK19)
    | ~ ssList(cons(sK67,nil))
    | ~ ssList(sK19) ),
    inference(superposition,[],[f2443,f3675]) ).

fof(f3626,plain,
    ( ~ spl69_35
    | spl69_36
    | ~ spl69_31
    | ~ spl69_32 ),
    inference(avatar_split_clause,[],[f3446,f3416,f3412,f3623,f3619]) ).

fof(f3619,plain,
    ( spl69_35
  <=> frontsegP(sK66(sK19,sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_35])]) ).

fof(f3623,plain,
    ( spl69_36
  <=> sK19 = sK66(sK19,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_36])]) ).

fof(f3416,plain,
    ( spl69_32
  <=> frontsegP(sK19,sK66(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_32])]) ).

fof(f3446,plain,
    ( sK19 = sK66(sK19,sK19)
    | ~ frontsegP(sK66(sK19,sK19),sK19)
    | ~ spl69_31
    | ~ spl69_32 ),
    inference(subsumption_resolution,[],[f3445,f3413]) ).

fof(f3445,plain,
    ( sK19 = sK66(sK19,sK19)
    | ~ frontsegP(sK66(sK19,sK19),sK19)
    | ~ ssList(sK66(sK19,sK19))
    | ~ spl69_32 ),
    inference(subsumption_resolution,[],[f3442,f375]) ).

fof(f3442,plain,
    ( sK19 = sK66(sK19,sK19)
    | ~ frontsegP(sK66(sK19,sK19),sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK66(sK19,sK19))
    | ~ spl69_32 ),
    inference(resolution,[],[f3418,f569]) ).

fof(f3418,plain,
    ( frontsegP(sK19,sK66(sK19,sK19))
    | ~ spl69_32 ),
    inference(avatar_component_clause,[],[f3416]) ).

fof(f3481,plain,
    ( ~ spl69_33
    | spl69_34
    | ~ spl69_27
    | ~ spl69_28 ),
    inference(avatar_split_clause,[],[f3072,f3042,f3038,f3478,f3474]) ).

fof(f3474,plain,
    ( spl69_33
  <=> frontsegP(sK66(sK19,sK18),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_33])]) ).

fof(f3478,plain,
    ( spl69_34
  <=> sK19 = sK66(sK19,sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_34])]) ).

fof(f3042,plain,
    ( spl69_28
  <=> frontsegP(sK19,sK66(sK19,sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_28])]) ).

fof(f3072,plain,
    ( sK19 = sK66(sK19,sK18)
    | ~ frontsegP(sK66(sK19,sK18),sK19)
    | ~ spl69_27
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f3071,f3039]) ).

fof(f3071,plain,
    ( sK19 = sK66(sK19,sK18)
    | ~ frontsegP(sK66(sK19,sK18),sK19)
    | ~ ssList(sK66(sK19,sK18))
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f3068,f375]) ).

fof(f3068,plain,
    ( sK19 = sK66(sK19,sK18)
    | ~ frontsegP(sK66(sK19,sK18),sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK66(sK19,sK18))
    | ~ spl69_28 ),
    inference(resolution,[],[f3044,f569]) ).

fof(f3044,plain,
    ( frontsegP(sK19,sK66(sK19,sK18))
    | ~ spl69_28 ),
    inference(avatar_component_clause,[],[f3042]) ).

fof(f3424,plain,
    ( ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30
    | spl69_31 ),
    inference(avatar_contradiction_clause,[],[f3423]) ).

fof(f3423,plain,
    ( $false
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30
    | spl69_31 ),
    inference(subsumption_resolution,[],[f3422,f375]) ).

fof(f3422,plain,
    ( ~ ssList(sK19)
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30
    | spl69_31 ),
    inference(subsumption_resolution,[],[f3421,f3351]) ).

fof(f3421,plain,
    ( ~ rearsegP(sK19,sK19)
    | ~ ssList(sK19)
    | spl69_31 ),
    inference(duplicate_literal_removal,[],[f3420]) ).

fof(f3420,plain,
    ( ~ rearsegP(sK19,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_31 ),
    inference(resolution,[],[f3414,f581]) ).

fof(f3414,plain,
    ( ~ ssList(sK66(sK19,sK19))
    | spl69_31 ),
    inference(avatar_component_clause,[],[f3412]) ).

fof(f3419,plain,
    ( ~ spl69_31
    | spl69_32
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(avatar_split_clause,[],[f3371,f3249,f3245,f3038,f3416,f3412]) ).

fof(f3371,plain,
    ( frontsegP(sK19,sK66(sK19,sK19))
    | ~ ssList(sK66(sK19,sK19))
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f3367,f375]) ).

fof(f3367,plain,
    ( frontsegP(sK19,sK66(sK19,sK19))
    | ~ ssList(sK19)
    | ~ ssList(sK66(sK19,sK19))
    | ~ spl69_27
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(superposition,[],[f2269,f3359]) ).

fof(f2269,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f624,f565]) ).

fof(f3257,plain,
    ( ~ spl69_27
    | spl69_29 ),
    inference(avatar_contradiction_clause,[],[f3256]) ).

fof(f3256,plain,
    ( $false
    | ~ spl69_27
    | spl69_29 ),
    inference(subsumption_resolution,[],[f3255,f375]) ).

fof(f3255,plain,
    ( ~ ssList(sK19)
    | ~ spl69_27
    | spl69_29 ),
    inference(subsumption_resolution,[],[f3254,f393]) ).

fof(f3254,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK19)
    | ~ spl69_27
    | spl69_29 ),
    inference(subsumption_resolution,[],[f3253,f3229]) ).

fof(f3253,plain,
    ( ~ frontsegP(sK19,nil)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_29 ),
    inference(resolution,[],[f3247,f574]) ).

fof(f3247,plain,
    ( ~ ssList(sK63(sK19,nil))
    | spl69_29 ),
    inference(avatar_component_clause,[],[f3245]) ).

fof(f3252,plain,
    ( ~ spl69_29
    | spl69_30
    | ~ spl69_27 ),
    inference(avatar_split_clause,[],[f3243,f3038,f3249,f3245]) ).

fof(f3243,plain,
    ( rearsegP(sK19,sK63(sK19,nil))
    | ~ ssList(sK63(sK19,nil))
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f3241,f393]) ).

fof(f3241,plain,
    ( rearsegP(sK19,sK63(sK19,nil))
    | ~ ssList(nil)
    | ~ ssList(sK63(sK19,nil))
    | ~ spl69_27 ),
    inference(superposition,[],[f2443,f3233]) ).

fof(f3050,plain,
    spl69_27,
    inference(avatar_contradiction_clause,[],[f3049]) ).

fof(f3049,plain,
    ( $false
    | spl69_27 ),
    inference(subsumption_resolution,[],[f3048,f375]) ).

fof(f3048,plain,
    ( ~ ssList(sK19)
    | spl69_27 ),
    inference(subsumption_resolution,[],[f3047,f374]) ).

fof(f3047,plain,
    ( ~ ssList(sK18)
    | ~ ssList(sK19)
    | spl69_27 ),
    inference(subsumption_resolution,[],[f3046,f662]) ).

fof(f3046,plain,
    ( ~ rearsegP(sK19,sK18)
    | ~ ssList(sK18)
    | ~ ssList(sK19)
    | spl69_27 ),
    inference(resolution,[],[f3040,f581]) ).

fof(f3040,plain,
    ( ~ ssList(sK66(sK19,sK18))
    | spl69_27 ),
    inference(avatar_component_clause,[],[f3038]) ).

fof(f3045,plain,
    ( ~ spl69_27
    | spl69_28 ),
    inference(avatar_split_clause,[],[f3036,f3042,f3038]) ).

fof(f3036,plain,
    ( frontsegP(sK19,sK66(sK19,sK18))
    | ~ ssList(sK66(sK19,sK18)) ),
    inference(subsumption_resolution,[],[f3032,f374]) ).

fof(f3032,plain,
    ( frontsegP(sK19,sK66(sK19,sK18))
    | ~ ssList(sK18)
    | ~ ssList(sK66(sK19,sK18)) ),
    inference(superposition,[],[f2269,f3026]) ).

fof(f2943,plain,
    ( ~ spl69_25
    | spl69_26
    | ~ spl69_21
    | ~ spl69_22 ),
    inference(avatar_split_clause,[],[f2603,f2520,f2516,f2940,f2936]) ).

fof(f2936,plain,
    ( spl69_25
  <=> rearsegP(sK18,cons(sK68,sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_25])]) ).

fof(f2940,plain,
    ( spl69_26
  <=> sK18 = cons(sK68,sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_26])]) ).

fof(f2520,plain,
    ( spl69_22
  <=> ssList(cons(sK68,sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_22])]) ).

fof(f2603,plain,
    ( sK18 = cons(sK68,sK18)
    | ~ rearsegP(sK18,cons(sK68,sK18))
    | ~ spl69_21
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2602,f374]) ).

fof(f2602,plain,
    ( sK18 = cons(sK68,sK18)
    | ~ rearsegP(sK18,cons(sK68,sK18))
    | ~ ssList(sK18)
    | ~ spl69_21
    | ~ spl69_22 ),
    inference(subsumption_resolution,[],[f2601,f2522]) ).

fof(f2522,plain,
    ( ssList(cons(sK68,sK18))
    | ~ spl69_22 ),
    inference(avatar_component_clause,[],[f2520]) ).

fof(f2601,plain,
    ( sK18 = cons(sK68,sK18)
    | ~ rearsegP(sK18,cons(sK68,sK18))
    | ~ ssList(cons(sK68,sK18))
    | ~ ssList(sK18)
    | ~ spl69_21 ),
    inference(resolution,[],[f2597,f571]) ).

fof(f2597,plain,
    ( rearsegP(cons(sK68,sK18),sK18)
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f2596,f374]) ).

fof(f2596,plain,
    ( rearsegP(cons(sK68,sK18),sK18)
    | ~ ssList(sK18)
    | ~ spl69_21 ),
    inference(subsumption_resolution,[],[f2587,f2517]) ).

fof(f2587,plain,
    ( rearsegP(cons(sK68,sK18),sK18)
    | ~ ssList(cons(sK68,nil))
    | ~ ssList(sK18) ),
    inference(superposition,[],[f2443,f2431]) ).

fof(f2431,plain,
    cons(sK68,sK18) = app(cons(sK68,nil),sK18),
    inference(resolution,[],[f1962,f600]) ).

fof(f2934,plain,
    ( ~ spl69_23
    | spl69_24
    | ~ spl69_19
    | ~ spl69_20 ),
    inference(avatar_split_clause,[],[f2600,f2449,f2445,f2931,f2927]) ).

fof(f2927,plain,
    ( spl69_23
  <=> rearsegP(sK18,cons(sK67,sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_23])]) ).

fof(f2449,plain,
    ( spl69_20
  <=> ssList(cons(sK67,sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_20])]) ).

fof(f2600,plain,
    ( sK18 = cons(sK67,sK18)
    | ~ rearsegP(sK18,cons(sK67,sK18))
    | ~ spl69_19
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2599,f374]) ).

fof(f2599,plain,
    ( sK18 = cons(sK67,sK18)
    | ~ rearsegP(sK18,cons(sK67,sK18))
    | ~ ssList(sK18)
    | ~ spl69_19
    | ~ spl69_20 ),
    inference(subsumption_resolution,[],[f2598,f2451]) ).

fof(f2451,plain,
    ( ssList(cons(sK67,sK18))
    | ~ spl69_20 ),
    inference(avatar_component_clause,[],[f2449]) ).

fof(f2598,plain,
    ( sK18 = cons(sK67,sK18)
    | ~ rearsegP(sK18,cons(sK67,sK18))
    | ~ ssList(cons(sK67,sK18))
    | ~ ssList(sK18)
    | ~ spl69_19 ),
    inference(resolution,[],[f2595,f571]) ).

fof(f2595,plain,
    ( rearsegP(cons(sK67,sK18),sK18)
    | ~ spl69_19 ),
    inference(subsumption_resolution,[],[f2594,f374]) ).

fof(f2594,plain,
    ( rearsegP(cons(sK67,sK18),sK18)
    | ~ ssList(sK18)
    | ~ spl69_19 ),
    inference(subsumption_resolution,[],[f2586,f2446]) ).

fof(f2586,plain,
    ( rearsegP(cons(sK67,sK18),sK18)
    | ~ ssList(cons(sK67,nil))
    | ~ ssList(sK18) ),
    inference(superposition,[],[f2443,f2430]) ).

fof(f2527,plain,
    spl69_21,
    inference(avatar_contradiction_clause,[],[f2526]) ).

fof(f2526,plain,
    ( $false
    | spl69_21 ),
    inference(subsumption_resolution,[],[f2525,f393]) ).

fof(f2525,plain,
    ( ~ ssList(nil)
    | spl69_21 ),
    inference(subsumption_resolution,[],[f2524,f600]) ).

fof(f2524,plain,
    ( ~ ssItem(sK68)
    | ~ ssList(nil)
    | spl69_21 ),
    inference(resolution,[],[f2518,f555]) ).

fof(f2518,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_21 ),
    inference(avatar_component_clause,[],[f2516]) ).

fof(f2523,plain,
    ( ~ spl69_21
    | spl69_22 ),
    inference(avatar_split_clause,[],[f2514,f2520,f2516]) ).

fof(f2514,plain,
    ( ssList(cons(sK68,sK18))
    | ~ ssList(cons(sK68,nil)) ),
    inference(subsumption_resolution,[],[f2509,f374]) ).

fof(f2509,plain,
    ( ssList(cons(sK68,sK18))
    | ~ ssList(sK18)
    | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f565,f2431]) ).

fof(f2456,plain,
    spl69_19,
    inference(avatar_contradiction_clause,[],[f2455]) ).

fof(f2455,plain,
    ( $false
    | spl69_19 ),
    inference(subsumption_resolution,[],[f2454,f393]) ).

fof(f2454,plain,
    ( ~ ssList(nil)
    | spl69_19 ),
    inference(subsumption_resolution,[],[f2453,f599]) ).

fof(f2453,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(nil)
    | spl69_19 ),
    inference(resolution,[],[f2447,f555]) ).

fof(f2447,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_19 ),
    inference(avatar_component_clause,[],[f2445]) ).

fof(f2452,plain,
    ( ~ spl69_19
    | spl69_20 ),
    inference(avatar_split_clause,[],[f2442,f2449,f2445]) ).

fof(f2442,plain,
    ( ssList(cons(sK67,sK18))
    | ~ ssList(cons(sK67,nil)) ),
    inference(subsumption_resolution,[],[f2437,f374]) ).

fof(f2437,plain,
    ( ssList(cons(sK67,sK18))
    | ~ ssList(sK18)
    | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f565,f2430]) ).

fof(f2197,plain,
    ( ~ spl69_17
    | spl69_18 ),
    inference(avatar_split_clause,[],[f2188,f2194,f2190]) ).

fof(f2190,plain,
    ( spl69_17
  <=> rearsegP(sK18,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_17])]) ).

fof(f2194,plain,
    ( spl69_18
  <=> sK18 = sK19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_18])]) ).

fof(f2188,plain,
    ( sK18 = sK19
    | ~ rearsegP(sK18,sK19) ),
    inference(subsumption_resolution,[],[f2187,f374]) ).

fof(f2187,plain,
    ( sK18 = sK19
    | ~ rearsegP(sK18,sK19)
    | ~ ssList(sK18) ),
    inference(subsumption_resolution,[],[f2181,f375]) ).

fof(f2181,plain,
    ( sK18 = sK19
    | ~ rearsegP(sK18,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK18) ),
    inference(resolution,[],[f571,f662]) ).

fof(f2010,plain,
    ( spl69_3
    | spl69_15 ),
    inference(avatar_contradiction_clause,[],[f2009]) ).

fof(f2009,plain,
    ( $false
    | spl69_3
    | spl69_15 ),
    inference(subsumption_resolution,[],[f2008,f375]) ).

fof(f2008,plain,
    ( ~ ssList(sK19)
    | spl69_3
    | spl69_15 ),
    inference(subsumption_resolution,[],[f2007,f672]) ).

fof(f2007,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | spl69_15 ),
    inference(resolution,[],[f2001,f457]) ).

fof(f2001,plain,
    ( ~ ssList(sK22(sK19))
    | spl69_15 ),
    inference(avatar_component_clause,[],[f1999]) ).

fof(f2006,plain,
    ( ~ spl69_15
    | spl69_16
    | spl69_3
    | ~ spl69_7 ),
    inference(avatar_split_clause,[],[f1997,f1698,f664,f2003,f1999]) ).

fof(f2003,plain,
    ( spl69_16
  <=> memberP(sK19,sK23(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_16])]) ).

fof(f1997,plain,
    ( memberP(sK19,sK23(sK19))
    | ~ ssList(sK22(sK19))
    | spl69_3
    | ~ spl69_7 ),
    inference(subsumption_resolution,[],[f1532,f1699]) ).

fof(f1532,plain,
    ( memberP(sK19,sK23(sK19))
    | ~ ssList(sK22(sK19))
    | ~ ssItem(sK23(sK19))
    | spl69_3 ),
    inference(superposition,[],[f633,f1509]) ).

fof(f1771,plain,
    ( spl69_4
    | spl69_13 ),
    inference(avatar_contradiction_clause,[],[f1770]) ).

fof(f1770,plain,
    ( $false
    | spl69_4
    | spl69_13 ),
    inference(subsumption_resolution,[],[f1769,f374]) ).

fof(f1769,plain,
    ( ~ ssList(sK18)
    | spl69_4
    | spl69_13 ),
    inference(subsumption_resolution,[],[f1768,f669]) ).

fof(f1768,plain,
    ( nil = sK18
    | ~ ssList(sK18)
    | spl69_13 ),
    inference(resolution,[],[f1762,f457]) ).

fof(f1762,plain,
    ( ~ ssList(sK22(sK18))
    | spl69_13 ),
    inference(avatar_component_clause,[],[f1760]) ).

fof(f1767,plain,
    ( ~ spl69_13
    | spl69_14
    | spl69_4
    | ~ spl69_5 ),
    inference(avatar_split_clause,[],[f1696,f1536,f668,f1764,f1760]) ).

fof(f1764,plain,
    ( spl69_14
  <=> memberP(sK18,sK23(sK18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_14])]) ).

fof(f1696,plain,
    ( memberP(sK18,sK23(sK18))
    | ~ ssList(sK22(sK18))
    | spl69_4
    | ~ spl69_5 ),
    inference(subsumption_resolution,[],[f1695,f1537]) ).

fof(f1695,plain,
    ( memberP(sK18,sK23(sK18))
    | ~ ssList(sK22(sK18))
    | ~ ssItem(sK23(sK18))
    | spl69_4 ),
    inference(superposition,[],[f633,f1653]) ).

fof(f1752,plain,
    ( spl69_4
    | spl69_11 ),
    inference(avatar_contradiction_clause,[],[f1751]) ).

fof(f1751,plain,
    ( $false
    | spl69_4
    | spl69_11 ),
    inference(subsumption_resolution,[],[f1750,f374]) ).

fof(f1750,plain,
    ( ~ ssList(sK18)
    | spl69_4
    | spl69_11 ),
    inference(subsumption_resolution,[],[f1749,f669]) ).

fof(f1749,plain,
    ( nil = sK18
    | ~ ssList(sK18)
    | spl69_11 ),
    inference(resolution,[],[f1743,f460]) ).

fof(f1743,plain,
    ( ~ ssItem(hd(sK18))
    | spl69_11 ),
    inference(avatar_component_clause,[],[f1741]) ).

fof(f1748,plain,
    ( ~ spl69_11
    | ~ spl69_12
    | spl69_4 ),
    inference(avatar_split_clause,[],[f1687,f668,f1745,f1741]) ).

fof(f1745,plain,
    ( spl69_12
  <=> sK18 = tl(sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_12])]) ).

fof(f1687,plain,
    ( sK18 != tl(sK18)
    | ~ ssItem(hd(sK18))
    | spl69_4 ),
    inference(subsumption_resolution,[],[f1686,f374]) ).

fof(f1686,plain,
    ( sK18 != tl(sK18)
    | ~ ssItem(hd(sK18))
    | ~ ssList(sK18)
    | spl69_4 ),
    inference(inner_rewriting,[],[f1684]) ).

fof(f1684,plain,
    ( sK18 != tl(sK18)
    | ~ ssItem(hd(sK18))
    | ~ ssList(tl(sK18))
    | spl69_4 ),
    inference(superposition,[],[f557,f1635]) ).

fof(f1728,plain,
    ( spl69_3
    | spl69_9 ),
    inference(avatar_contradiction_clause,[],[f1727]) ).

fof(f1727,plain,
    ( $false
    | spl69_3
    | spl69_9 ),
    inference(subsumption_resolution,[],[f1726,f375]) ).

fof(f1726,plain,
    ( ~ ssList(sK19)
    | spl69_3
    | spl69_9 ),
    inference(subsumption_resolution,[],[f1725,f672]) ).

fof(f1725,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | spl69_9 ),
    inference(resolution,[],[f1719,f460]) ).

fof(f1719,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_9 ),
    inference(avatar_component_clause,[],[f1717]) ).

fof(f1724,plain,
    ( ~ spl69_9
    | ~ spl69_10
    | spl69_3 ),
    inference(avatar_split_clause,[],[f1672,f664,f1721,f1717]) ).

fof(f1721,plain,
    ( spl69_10
  <=> sK19 = tl(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_10])]) ).

fof(f1672,plain,
    ( sK19 != tl(sK19)
    | ~ ssItem(hd(sK19))
    | spl69_3 ),
    inference(subsumption_resolution,[],[f1671,f375]) ).

fof(f1671,plain,
    ( sK19 != tl(sK19)
    | ~ ssItem(hd(sK19))
    | ~ ssList(sK19)
    | spl69_3 ),
    inference(inner_rewriting,[],[f1669]) ).

fof(f1669,plain,
    ( sK19 != tl(sK19)
    | ~ ssItem(hd(sK19))
    | ~ ssList(tl(sK19))
    | spl69_3 ),
    inference(superposition,[],[f557,f1626]) ).

fof(f1709,plain,
    ( spl69_3
    | spl69_7 ),
    inference(avatar_contradiction_clause,[],[f1708]) ).

fof(f1708,plain,
    ( $false
    | spl69_3
    | spl69_7 ),
    inference(subsumption_resolution,[],[f1707,f375]) ).

fof(f1707,plain,
    ( ~ ssList(sK19)
    | spl69_3
    | spl69_7 ),
    inference(subsumption_resolution,[],[f1706,f672]) ).

fof(f1706,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | spl69_7 ),
    inference(resolution,[],[f1700,f458]) ).

fof(f1700,plain,
    ( ~ ssItem(sK23(sK19))
    | spl69_7 ),
    inference(avatar_component_clause,[],[f1698]) ).

fof(f1705,plain,
    ( ~ spl69_7
    | ~ spl69_8
    | spl69_3 ),
    inference(avatar_split_clause,[],[f1534,f664,f1702,f1698]) ).

fof(f1702,plain,
    ( spl69_8
  <=> sK19 = sK22(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_8])]) ).

fof(f1534,plain,
    ( sK19 != sK22(sK19)
    | ~ ssItem(sK23(sK19))
    | spl69_3 ),
    inference(subsumption_resolution,[],[f1533,f375]) ).

fof(f1533,plain,
    ( sK19 != sK22(sK19)
    | ~ ssItem(sK23(sK19))
    | ~ ssList(sK19)
    | spl69_3 ),
    inference(inner_rewriting,[],[f1531]) ).

fof(f1531,plain,
    ( sK19 != sK22(sK19)
    | ~ ssItem(sK23(sK19))
    | ~ ssList(sK22(sK19))
    | spl69_3 ),
    inference(superposition,[],[f557,f1509]) ).

fof(f1633,plain,
    ( ~ spl69_1
    | ~ spl69_4 ),
    inference(avatar_contradiction_clause,[],[f1632]) ).

fof(f1632,plain,
    ( $false
    | ~ spl69_1
    | ~ spl69_4 ),
    inference(subsumption_resolution,[],[f1631,f393]) ).

fof(f1631,plain,
    ( ~ ssList(nil)
    | ~ spl69_1
    | ~ spl69_4 ),
    inference(resolution,[],[f1577,f630]) ).

fof(f1577,plain,
    ( neq(nil,nil)
    | ~ spl69_1
    | ~ spl69_4 ),
    inference(superposition,[],[f645,f670]) ).

fof(f670,plain,
    ( nil = sK18
    | ~ spl69_4 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f645,plain,
    ( neq(sK18,nil)
    | ~ spl69_1 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f644,plain,
    ( spl69_1
  <=> neq(sK18,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).

fof(f1547,plain,
    ( spl69_4
    | spl69_5 ),
    inference(avatar_contradiction_clause,[],[f1546]) ).

fof(f1546,plain,
    ( $false
    | spl69_4
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1545,f374]) ).

fof(f1545,plain,
    ( ~ ssList(sK18)
    | spl69_4
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1544,f669]) ).

fof(f1544,plain,
    ( nil = sK18
    | ~ ssList(sK18)
    | spl69_5 ),
    inference(resolution,[],[f1538,f458]) ).

fof(f1538,plain,
    ( ~ ssItem(sK23(sK18))
    | spl69_5 ),
    inference(avatar_component_clause,[],[f1536]) ).

fof(f1543,plain,
    ( ~ spl69_5
    | ~ spl69_6
    | spl69_4 ),
    inference(avatar_split_clause,[],[f1524,f668,f1540,f1536]) ).

fof(f1540,plain,
    ( spl69_6
  <=> sK18 = sK22(sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_6])]) ).

fof(f671,plain,
    ( ~ spl69_3
    | spl69_4 ),
    inference(avatar_split_clause,[],[f642,f668,f664]) ).

fof(f656,plain,
    spl69_1,
    inference(avatar_contradiction_clause,[],[f655]) ).

fof(f655,plain,
    ( $false
    | spl69_1 ),
    inference(subsumption_resolution,[],[f654,f380]) ).

fof(f654,plain,
    ( ~ neq(sK19,nil)
    | spl69_1 ),
    inference(forward_demodulation,[],[f653,f378]) ).

fof(f653,plain,
    ( ~ neq(sK21,nil)
    | spl69_1 ),
    inference(subsumption_resolution,[],[f652,f646]) ).

fof(f646,plain,
    ( ~ neq(sK18,nil)
    | spl69_1 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f651,plain,
    ( ~ spl69_1
    | ~ spl69_2 ),
    inference(avatar_split_clause,[],[f382,f648,f644]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC122+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 03:53:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (27336)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (27339)WARNING: value z3 for option sas not known
% 0.20/0.37  % (27337)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37  % (27339)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)
% 0.20/0.37  % (27338)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37  % (27341)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)
% 0.20/0.37  % (27340)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37  % (27343)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)
% 0.20/0.37  % (27342)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)
% 0.20/0.39  TRYING [1]
% 0.20/0.39  TRYING [1]
% 0.20/0.39  TRYING [2]
% 0.20/0.39  TRYING [2]
% 0.20/0.40  TRYING [3]
% 0.20/0.41  TRYING [3]
% 0.20/0.45  TRYING [4]
% 0.20/0.46  TRYING [4]
% 1.46/0.55  TRYING [5]
% 1.46/0.59  TRYING [5]
% 2.01/0.65  % (27339)First to succeed.
% 2.01/0.67  % (27339)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27336"
% 2.01/0.67  % (27339)Refutation found. Thanks to Tanya!
% 2.01/0.67  % SZS status Theorem for theBenchmark
% 2.01/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.68  % (27339)------------------------------
% 2.32/0.68  % (27339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.32/0.68  % (27339)Termination reason: Refutation
% 2.32/0.68  
% 2.32/0.68  % (27339)Memory used [KB]: 6368
% 2.32/0.68  % (27339)Time elapsed: 0.294 s
% 2.32/0.68  % (27339)Instructions burned: 740 (million)
% 2.32/0.68  % (27336)Success in time 0.304 s
%------------------------------------------------------------------------------