%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC021+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 : n011.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 04:40:25 EDT 2024

% Result   : Theorem 9.04s 1.67s
% Output   : Refutation 9.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :  323
% Syntax   : Number of formulae    : 3291 (  87 unt;   0 def)
%            Number of atoms       : 13273 (2700 equ)
%            Maximal formula atoms :   38 (   4 avg)
%            Number of connectives : 17130 (7148   ~;8682   |; 775   &)
%                                         ( 235 <=>; 290  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :  197 ( 195 usr; 159 prp; 0-2 aty)
%            Number of functors    :   56 (  56 usr;   7 con; 0-2 aty)
%            Number of variables   : 4012 (3685   !; 327   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22762,plain,
    $false,
    inference(avatar_sat_refutation,[],[f652,f769,f772,f781,f790,f793,f830,f1099,f1103,f1194,f1200,f1395,f1399,f1477,f1481,f1521,f1525,f1605,f1611,f1636,f1640,f1778,f1792,f1888,f1892,f1937,f1941,f2211,f2215,f2292,f2301,f2412,f2444,f2448,f2451,f2454,f2468,f2528,f2532,f2535,f2538,f2745,f2750,f2874,f2879,f3019,f3024,f3076,f3103,f3446,f3710,f3714,f3717,f3725,f4012,f4016,f4019,f4027,f4053,f4058,f4386,f4391,f4909,f4913,f4916,f4924,f4952,f4957,f4960,f4963,f5027,f5055,f5059,f5062,f5070,f5098,f5103,f5106,f5109,f5117,f5336,f5341,f5343,f5351,f5489,f5494,f5496,f5504,f5534,f5539,f5541,f5549,f5579,f5584,f5586,f5594,f5625,f5630,f5632,f5640,f6582,f6594,f7850,f7866,f8662,f8813,f8817,f8914,f8921,f8928,f8931,f8943,f8946,f9413,f9446,f9819,f9825,f9828,f9832,f9863,f9912,f9919,f9923,f9925,f9933,f10312,f10388,f10539,f10646,f10685,f10688,f10700,f10704,f10725,f10729,f11070,f11079,f11353,f11360,f11363,f11382,f11386,f13581,f13708,f13722,f15860,f15872,f15892,f15904,f15924,f15950,f15954,f15963,f15989,f15993,f16026,f16727,f16833,f16837,f16982,f17000,f17004,f17738,f17773,f17873,f17889,f17896,f17899,f17955,f17981,f18008,f18167,f18171,f18348,f18352,f18426,f18430,f18553,f18564,f18568,f18721,f18728,f18841,f19124,f19128,f22731,f22743,f22761]) ).

fof(f22761,plain,
    ( ~ spl69_29
    | spl69_97
    | spl69_158 ),
    inference(avatar_contradiction_clause,[],[f22760]) ).

fof(f22760,plain,
    ( $false
    | ~ spl69_29
    | spl69_97
    | spl69_158 ),
    inference(subsumption_resolution,[],[f22759,f394]) ).

fof(f394,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f22759,plain,
    ( ~ ssList(nil)
    | ~ spl69_29
    | spl69_97
    | spl69_158 ),
    inference(subsumption_resolution,[],[f22758,f2205]) ).

fof(f2205,plain,
    ( ssList(cons(hd(sK19),nil))
    | ~ spl69_29 ),
    inference(avatar_component_clause,[],[f2204]) ).

fof(f2204,plain,
    ( spl69_29
  <=> ssList(cons(hd(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_29])]) ).

fof(f22758,plain,
    ( ~ ssList(cons(hd(sK19),nil))
    | ~ ssList(nil)
    | spl69_97
    | spl69_158 ),
    inference(subsumption_resolution,[],[f22756,f10533]) ).

fof(f10533,plain,
    ( nil != cons(hd(sK19),nil)
    | spl69_97 ),
    inference(avatar_component_clause,[],[f10532]) ).

fof(f10532,plain,
    ( spl69_97
  <=> nil = cons(hd(sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_97])]) ).

fof(f22756,plain,
    ( nil = cons(hd(sK19),nil)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ ssList(nil)
    | spl69_158 ),
    inference(resolution,[],[f22730,f574]) ).

fof(f574,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f356]) ).

fof(f356,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f199]) ).

fof(f199,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f22730,plain,
    ( ~ neq(nil,cons(hd(sK19),nil))
    | spl69_158 ),
    inference(avatar_component_clause,[],[f22728]) ).

fof(f22728,plain,
    ( spl69_158
  <=> neq(nil,cons(hd(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_158])]) ).

fof(f22743,plain,
    ( ~ spl69_15
    | spl69_157 ),
    inference(avatar_contradiction_clause,[],[f22742]) ).

fof(f22742,plain,
    ( $false
    | ~ spl69_15
    | spl69_157 ),
    inference(subsumption_resolution,[],[f22732,f1471]) ).

fof(f1471,plain,
    ( ssItem(hd(sK19))
    | ~ spl69_15 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f1470,plain,
    ( spl69_15
  <=> ssItem(hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_15])]) ).

fof(f22732,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_157 ),
    inference(resolution,[],[f22726,f405]) ).

fof(f405,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f68]) ).

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

fof(f22726,plain,
    ( ~ strictorderedP(cons(hd(sK19),nil))
    | spl69_157 ),
    inference(avatar_component_clause,[],[f22724]) ).

fof(f22724,plain,
    ( spl69_157
  <=> strictorderedP(cons(hd(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_157])]) ).

fof(f22731,plain,
    ( ~ spl69_157
    | ~ spl69_158
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_29 ),
    inference(avatar_split_clause,[],[f22231,f2204,f1514,f1470,f1388,f649,f645,f22728,f22724]) ).

fof(f645,plain,
    ( spl69_1
  <=> nil = sK19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).

fof(f649,plain,
    ( spl69_2
  <=> nil = sK18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).

fof(f1388,plain,
    ( spl69_13
  <=> ssItem(sK23(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_13])]) ).

fof(f1514,plain,
    ( spl69_17
  <=> ssList(sK22(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_17])]) ).

fof(f22231,plain,
    ( ~ neq(nil,cons(hd(sK19),nil))
    | ~ strictorderedP(cons(hd(sK19),nil))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_29 ),
    inference(subsumption_resolution,[],[f22226,f2205]) ).

fof(f22226,plain,
    ( ~ neq(nil,cons(hd(sK19),nil))
    | ~ strictorderedP(cons(hd(sK19),nil))
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_29 ),
    inference(resolution,[],[f22216,f1129]) ).

fof(f1129,plain,
    ( ! [X0] :
        ( ~ frontsegP(sK19,X0)
        | ~ neq(nil,X0)
        | ~ strictorderedP(X0)
        | ~ ssList(X0) )
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f1128,f650]) ).

fof(f650,plain,
    ( nil = sK18
    | ~ spl69_2 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f1128,plain,
    ( ! [X0] :
        ( ~ frontsegP(sK19,X0)
        | ~ neq(sK18,X0)
        | ~ strictorderedP(X0)
        | ~ ssList(X0) )
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f1121,f451]) ).

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

fof(f142,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f57]) ).

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

fof(f1121,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,nil)
        | ~ frontsegP(sK19,X0)
        | ~ neq(sK18,X0)
        | ~ strictorderedP(X0)
        | ~ ssList(X0) )
    | ~ spl69_2 ),
    inference(superposition,[],[f796,f650]) ).

fof(f796,plain,
    ! [X4] :
      ( ~ segmentP(X4,sK18)
      | ~ frontsegP(sK19,X4)
      | ~ neq(sK18,X4)
      | ~ strictorderedP(X4)
      | ~ ssList(X4) ),
    inference(forward_demodulation,[],[f795,f380]) ).

fof(f380,plain,
    sK18 = sK20,
    inference(cnf_transformation,[],[f255]) ).

fof(f255,plain,
    ( ( nil != sK18
      | nil != sK19 )
    & ! [X4] :
        ( ~ strictorderedP(X4)
        | ~ segmentP(X4,sK20)
        | ~ frontsegP(sK21,X4)
        | ~ neq(sK20,X4)
        | ~ ssList(X4) )
    & ! [X5] :
        ( ~ frontsegP(sK18,X5)
        | ~ frontsegP(sK19,X5)
        | ~ neq(X5,nil)
        | ~ ssList(X5) )
    & strictorderedP(sK20)
    & frontsegP(sK21,sK20)
    & sK18 = sK20
    & sK19 = sK21
    & ssList(sK21)
    & ssList(sK20)
    & ssList(sK19)
    & ssList(sK18) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f100,f254,f253,f252,f251]) ).

fof(f251,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( nil != X0
                      | nil != X1 )
                    & ! [X4] :
                        ( ~ strictorderedP(X4)
                        | ~ segmentP(X4,X2)
                        | ~ frontsegP(X3,X4)
                        | ~ neq(X2,X4)
                        | ~ ssList(X4) )
                    & ! [X5] :
                        ( ~ frontsegP(X0,X5)
                        | ~ frontsegP(X1,X5)
                        | ~ neq(X5,nil)
                        | ~ ssList(X5) )
                    & strictorderedP(X2)
                    & frontsegP(X3,X2)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != sK18
                    | nil != X1 )
                  & ! [X4] :
                      ( ~ strictorderedP(X4)
                      | ~ segmentP(X4,X2)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ ssList(X4) )
                  & ! [X5] :
                      ( ~ frontsegP(sK18,X5)
                      | ~ frontsegP(X1,X5)
                      | ~ neq(X5,nil)
                      | ~ ssList(X5) )
                  & strictorderedP(X2)
                  & frontsegP(X3,X2)
                  & sK18 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f252,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( nil != sK18
                  | nil != X1 )
                & ! [X4] :
                    ( ~ strictorderedP(X4)
                    | ~ segmentP(X4,X2)
                    | ~ frontsegP(X3,X4)
                    | ~ neq(X2,X4)
                    | ~ ssList(X4) )
                & ! [X5] :
                    ( ~ frontsegP(sK18,X5)
                    | ~ frontsegP(X1,X5)
                    | ~ neq(X5,nil)
                    | ~ ssList(X5) )
                & strictorderedP(X2)
                & frontsegP(X3,X2)
                & sK18 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( nil != sK18
                | nil != sK19 )
              & ! [X4] :
                  ( ~ strictorderedP(X4)
                  | ~ segmentP(X4,X2)
                  | ~ frontsegP(X3,X4)
                  | ~ neq(X2,X4)
                  | ~ ssList(X4) )
              & ! [X5] :
                  ( ~ frontsegP(sK18,X5)
                  | ~ frontsegP(sK19,X5)
                  | ~ neq(X5,nil)
                  | ~ ssList(X5) )
              & strictorderedP(X2)
              & frontsegP(X3,X2)
              & sK18 = X2
              & sK19 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK19) ) ),
    introduced(choice_axiom,[]) ).

fof(f253,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( nil != sK18
              | nil != sK19 )
            & ! [X4] :
                ( ~ strictorderedP(X4)
                | ~ segmentP(X4,X2)
                | ~ frontsegP(X3,X4)
                | ~ neq(X2,X4)
                | ~ ssList(X4) )
            & ! [X5] :
                ( ~ frontsegP(sK18,X5)
                | ~ frontsegP(sK19,X5)
                | ~ neq(X5,nil)
                | ~ ssList(X5) )
            & strictorderedP(X2)
            & frontsegP(X3,X2)
            & sK18 = X2
            & sK19 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( nil != sK18
            | nil != sK19 )
          & ! [X4] :
              ( ~ strictorderedP(X4)
              | ~ segmentP(X4,sK20)
              | ~ frontsegP(X3,X4)
              | ~ neq(sK20,X4)
              | ~ ssList(X4) )
          & ! [X5] :
              ( ~ frontsegP(sK18,X5)
              | ~ frontsegP(sK19,X5)
              | ~ neq(X5,nil)
              | ~ ssList(X5) )
          & strictorderedP(sK20)
          & frontsegP(X3,sK20)
          & sK18 = sK20
          & sK19 = X3
          & ssList(X3) )
      & ssList(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f254,plain,
    ( ? [X3] :
        ( ( nil != sK18
          | nil != sK19 )
        & ! [X4] :
            ( ~ strictorderedP(X4)
            | ~ segmentP(X4,sK20)
            | ~ frontsegP(X3,X4)
            | ~ neq(sK20,X4)
            | ~ ssList(X4) )
        & ! [X5] :
            ( ~ frontsegP(sK18,X5)
            | ~ frontsegP(sK19,X5)
            | ~ neq(X5,nil)
            | ~ ssList(X5) )
        & strictorderedP(sK20)
        & frontsegP(X3,sK20)
        & sK18 = sK20
        & sK19 = X3
        & ssList(X3) )
   => ( ( nil != sK18
        | nil != sK19 )
      & ! [X4] :
          ( ~ strictorderedP(X4)
          | ~ segmentP(X4,sK20)
          | ~ frontsegP(sK21,X4)
          | ~ neq(sK20,X4)
          | ~ ssList(X4) )
      & ! [X5] :
          ( ~ frontsegP(sK18,X5)
          | ~ frontsegP(sK19,X5)
          | ~ neq(X5,nil)
          | ~ ssList(X5) )
      & strictorderedP(sK20)
      & frontsegP(sK21,sK20)
      & sK18 = sK20
      & sK19 = sK21
      & ssList(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X0
                    | nil != X1 )
                  & ! [X4] :
                      ( ~ strictorderedP(X4)
                      | ~ segmentP(X4,X2)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ ssList(X4) )
                  & ! [X5] :
                      ( ~ frontsegP(X0,X5)
                      | ~ frontsegP(X1,X5)
                      | ~ neq(X5,nil)
                      | ~ ssList(X5) )
                  & strictorderedP(X2)
                  & frontsegP(X3,X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X0
                    | nil != X1 )
                  & ! [X4] :
                      ( ~ strictorderedP(X4)
                      | ~ segmentP(X4,X2)
                      | ~ frontsegP(X3,X4)
                      | ~ neq(X2,X4)
                      | ~ ssList(X4) )
                  & ! [X5] :
                      ( ~ frontsegP(X0,X5)
                      | ~ frontsegP(X1,X5)
                      | ~ neq(X5,nil)
                      | ~ ssList(X5) )
                  & strictorderedP(X2)
                  & frontsegP(X3,X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( nil = X0
                        & nil = X1 )
                      | ? [X4] :
                          ( strictorderedP(X4)
                          & segmentP(X4,X2)
                          & frontsegP(X3,X4)
                          & neq(X2,X4)
                          & ssList(X4) )
                      | ? [X5] :
                          ( frontsegP(X0,X5)
                          & frontsegP(X1,X5)
                          & neq(X5,nil)
                          & ssList(X5) )
                      | ~ strictorderedP(X2)
                      | ~ frontsegP(X3,X2)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( nil = X0
                        & nil = X1 )
                      | ? [X5] :
                          ( strictorderedP(X5)
                          & segmentP(X5,X2)
                          & frontsegP(X3,X5)
                          & neq(X2,X5)
                          & ssList(X5) )
                      | ? [X4] :
                          ( frontsegP(X0,X4)
                          & frontsegP(X1,X4)
                          & neq(X4,nil)
                          & ssList(X4) )
                      | ~ strictorderedP(X2)
                      | ~ frontsegP(X3,X2)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( nil = X0
                      & nil = X1 )
                    | ? [X5] :
                        ( strictorderedP(X5)
                        & segmentP(X5,X2)
                        & frontsegP(X3,X5)
                        & neq(X2,X5)
                        & ssList(X5) )
                    | ? [X4] :
                        ( frontsegP(X0,X4)
                        & frontsegP(X1,X4)
                        & neq(X4,nil)
                        & ssList(X4) )
                    | ~ strictorderedP(X2)
                    | ~ frontsegP(X3,X2)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f795,plain,
    ! [X4] :
      ( ~ frontsegP(sK19,X4)
      | ~ segmentP(X4,sK18)
      | ~ strictorderedP(X4)
      | ~ neq(sK20,X4)
      | ~ ssList(X4) ),
    inference(forward_demodulation,[],[f794,f379]) ).

fof(f379,plain,
    sK19 = sK21,
    inference(cnf_transformation,[],[f255]) ).

fof(f794,plain,
    ! [X4] :
      ( ~ segmentP(X4,sK18)
      | ~ strictorderedP(X4)
      | ~ frontsegP(sK21,X4)
      | ~ neq(sK20,X4)
      | ~ ssList(X4) ),
    inference(forward_demodulation,[],[f384,f380]) ).

fof(f384,plain,
    ! [X4] :
      ( ~ strictorderedP(X4)
      | ~ segmentP(X4,sK20)
      | ~ frontsegP(sK21,X4)
      | ~ neq(sK20,X4)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f255]) ).

fof(f22216,plain,
    ( frontsegP(sK19,cons(hd(sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_29 ),
    inference(subsumption_resolution,[],[f22215,f2205]) ).

fof(f22215,plain,
    ( frontsegP(sK19,cons(hd(sK19),nil))
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f22191,f1667]) ).

fof(f1667,plain,
    ( ssList(tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(superposition,[],[f1515,f1663]) ).

fof(f1663,plain,
    ( tl(sK19) = sK22(sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f1642,f1568]) ).

fof(f1568,plain,
    ( sK19 = cons(hd(sK19),sK22(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(superposition,[],[f1371,f1560]) ).

fof(f1560,plain,
    ( hd(sK19) = sK23(sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f1541,f1371]) ).

fof(f1541,plain,
    ( sK23(sK19) = hd(cons(sK23(sK19),sK22(sK19)))
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(resolution,[],[f1533,f1389]) ).

fof(f1389,plain,
    ( ssItem(sK23(sK19))
    | ~ spl69_13 ),
    inference(avatar_component_clause,[],[f1388]) ).

fof(f1533,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK22(sK19))) = X0 )
    | ~ spl69_17 ),
    inference(resolution,[],[f1515,f560]) ).

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

fof(f183,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(cons(X1,X0)) = X1
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f23]) ).

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

fof(f1371,plain,
    ( sK19 = cons(sK23(sK19),sK22(sK19))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f1339,f647]) ).

fof(f647,plain,
    ( nil != sK19
    | spl69_1 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f1339,plain,
    ( nil = sK19
    | sK19 = cons(sK23(sK19),sK22(sK19)) ),
    inference(resolution,[],[f460,f376]) ).

fof(f376,plain,
    ssList(sK19),
    inference(cnf_transformation,[],[f255]) ).

fof(f460,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(sK23(X0),sK22(X0)) = X0 ),
    inference(cnf_transformation,[],[f277]) ).

fof(f277,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])],[f150,f276,f275]) ).

fof(f275,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(f276,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK22(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK23(X0),sK22(X0)) = X0
        & ssItem(sK23(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f1642,plain,
    ( sK22(sK19) = tl(cons(hd(sK19),sK22(sK19)))
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(resolution,[],[f1532,f1471]) ).

fof(f1532,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | sK22(sK19) = tl(cons(X0,sK22(sK19))) )
    | ~ spl69_17 ),
    inference(resolution,[],[f1515,f559]) ).

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

fof(f182,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f25]) ).

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

fof(f1515,plain,
    ( ssList(sK22(sK19))
    | ~ spl69_17 ),
    inference(avatar_component_clause,[],[f1514]) ).

fof(f22191,plain,
    ( frontsegP(sK19,cons(hd(sK19),nil))
    | ~ ssList(tl(sK19))
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(superposition,[],[f2302,f22170]) ).

fof(f22170,plain,
    ( sK19 = app(cons(hd(sK19),nil),tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f22148,f1453]) ).

fof(f1453,plain,
    ( sK19 = cons(hd(sK19),tl(sK19))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f1421,f647]) ).

fof(f1421,plain,
    ( nil = sK19
    | sK19 = cons(hd(sK19),tl(sK19)) ),
    inference(resolution,[],[f463,f376]) ).

fof(f463,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

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

fof(f22148,plain,
    ( cons(hd(sK19),tl(sK19)) = app(cons(hd(sK19),nil),tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(resolution,[],[f1849,f1471]) ).

fof(f1849,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,tl(sK19)) = app(cons(X0,nil),tl(sK19)) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f1817,f1663]) ).

fof(f1817,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,sK22(sK19)) = app(cons(X0,nil),sK22(sK19)) )
    | ~ spl69_17 ),
    inference(resolution,[],[f561,f1515]) ).

fof(f561,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

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

fof(f2302,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f627,f566]) ).

fof(f566,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f627,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2)) ),
    inference(equality_resolution,[],[f584]) ).

fof(f584,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | app(X1,X2) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f369]) ).

fof(f369,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(X1,sK66(X0,X1)) = X0
                & ssList(sK66(X0,X1)) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f367,f368]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X1,X3) = X0
          & ssList(X3) )
     => ( app(X1,sK66(X0,X1)) = X0
        & ssList(sK66(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f367,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,[],[f366]) ).

fof(f366,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,[],[f202]) ).

fof(f202,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f19128,plain,
    ( ~ spl69_83
    | spl69_155 ),
    inference(avatar_contradiction_clause,[],[f19127]) ).

fof(f19127,plain,
    ( $false
    | ~ spl69_83
    | spl69_155 ),
    inference(subsumption_resolution,[],[f19126,f8807]) ).

fof(f8807,plain,
    ( ssList(app(sK19,sK19))
    | ~ spl69_83 ),
    inference(avatar_component_clause,[],[f8806]) ).

fof(f8806,plain,
    ( spl69_83
  <=> ssList(app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_83])]) ).

fof(f19126,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_155 ),
    inference(subsumption_resolution,[],[f19125,f376]) ).

fof(f19125,plain,
    ( ~ ssList(sK19)
    | ~ ssList(app(sK19,sK19))
    | spl69_155 ),
    inference(resolution,[],[f19119,f566]) ).

fof(f19119,plain,
    ( ~ ssList(app(app(sK19,sK19),sK19))
    | spl69_155 ),
    inference(avatar_component_clause,[],[f19117]) ).

fof(f19117,plain,
    ( spl69_155
  <=> ssList(app(app(sK19,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_155])]) ).

fof(f19124,plain,
    ( ~ spl69_155
    | ~ spl69_156
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83
    | ~ spl69_84 ),
    inference(avatar_split_clause,[],[f18982,f8810,f8806,f8655,f1514,f1388,f645,f19121,f19117]) ).

fof(f19121,plain,
    ( spl69_156
  <=> duplicatefreeP(app(app(sK19,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_156])]) ).

fof(f8655,plain,
    ( spl69_81
  <=> nil = app(sK19,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_81])]) ).

fof(f8810,plain,
    ( spl69_84
  <=> ssList(app(tl(sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_84])]) ).

fof(f18982,plain,
    ( ~ duplicatefreeP(app(app(sK19,sK19),sK19))
    | ~ ssList(app(app(sK19,sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83
    | ~ spl69_84 ),
    inference(resolution,[],[f18979,f654]) ).

fof(f654,plain,
    ! [X0] :
      ( sP6(X0)
      | ~ duplicatefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f481,f491]) ).

fof(f491,plain,
    ! [X0] :
      ( sP7(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f235]) ).

fof(f235,plain,
    ! [X0] :
      ( sP7(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f165,f234,f233]) ).

fof(f233,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(f234,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> sP6(X0) )
      | ~ sP7(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f165,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,[],[f164]) ).

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(ennf_transformation,[],[f13]) ).

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

fof(f481,plain,
    ! [X0] :
      ( ~ sP7(X0)
      | ~ duplicatefreeP(X0)
      | sP6(X0) ),
    inference(cnf_transformation,[],[f294]) ).

fof(f294,plain,
    ! [X0] :
      ( ( ( duplicatefreeP(X0)
          | ~ sP6(X0) )
        & ( sP6(X0)
          | ~ duplicatefreeP(X0) ) )
      | ~ sP7(X0) ),
    inference(nnf_transformation,[],[f234]) ).

fof(f18979,plain,
    ( ~ sP6(app(app(sK19,sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f18976,f394]) ).

fof(f18976,plain,
    ( ~ sP6(app(app(sK19,sK19),sK19))
    | ~ ssList(nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83
    | ~ spl69_84 ),
    inference(superposition,[],[f18918,f8824]) ).

fof(f8824,plain,
    ( app(sK19,sK19) = app(nil,app(sK19,sK19))
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f457]) ).

fof(f457,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

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

fof(f18918,plain,
    ( ! [X0] :
        ( ~ sP6(app(app(X0,app(sK19,sK19)),sK19))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f18910,f8812]) ).

fof(f8812,plain,
    ( ssList(app(tl(sK19),sK19))
    | ~ spl69_84 ),
    inference(avatar_component_clause,[],[f8810]) ).

fof(f18910,plain,
    ( ! [X0] :
        ( ~ sP6(app(app(X0,app(sK19,sK19)),sK19))
        | ~ ssList(app(tl(sK19),sK19))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83 ),
    inference(superposition,[],[f6674,f8956]) ).

fof(f8956,plain,
    ( app(sK19,sK19) = cons(hd(sK19),app(tl(sK19),sK19))
    | spl69_1
    | spl69_81
    | ~ spl69_83 ),
    inference(global_subsumption,[],[f384,f381,f419,f634,f620,f621,f622,f625,f627,f630,f375,f376,f377,f378,f382,f386,f387,f388,f389,f390,f391,f392,f393,f394,f600,f601,f379,f380,f640,f643,f602,f607,f609,f635,f636,f637,f480,f491,f503,f515,f527,f538,f549,f385,f647,f395,f396,f397,f398,f450,f451,f452,f453,f454,f455,f474,f475,f476,f477,f484,f485,f486,f487,f488,f495,f496,f497,f498,f499,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f542,f543,f544,f545,f546,f638,f399,f400,f401,f402,f403,f404,f405,f471,f481,f492,f504,f516,f528,f529,f539,f540,f653,f654,f655,f656,f657,f658,f659,f660,f661,f438,f446,f456,f691,f692,f667,f668,f457,f718,f719,f694,f695,f468,f479,f490,f501,f502,f513,f514,f525,f526,f537,f548,f434,f442,f458,f722,f723,f459,f461,f462,f724,f725,f464,f466,f726,f727,f550,f552,f554,f556,f743,f744,f566,f745,f746,f383,f557,f757,f758,f760,f558,f633,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f797,f686,f798,f687,f799,f688,f800,f689,f801,f690,f802,f698,f796,f807,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f406,f709,f710,f711,f712,f808,f713,f809,f714,f810,f715,f811,f716,f812,f717,f813,f408,f412,f413,f414,f415,f416,f418,f431,f432,f435,f439,f440,f443,f846,f847,f465,f878,f849,f851,f886,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f880,f467,f919,f890,f892,f927,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f921,f469,f559,f930,f931,f933,f960,f961,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f934,f962,f963,f964,f965,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f935,f1002,f1003,f966,f560,f1006,f1007,f1009,f1036,f1037,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1010,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1057,f1061,f1062,f1011,f1064,f1065,f1066,f1082,f1084,f1085,f1083,f1087,f1088,f967,f968,f969,f574,f1106,f893,f1109,f852,f611,f1134,f562,f1150,f1151,f1152,f1153,f1154,f1155,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f563,f1157,f1158,f1159,f1160,f1161,f1162,f998,f999,f1000,f1001,f575,f1168,f1169,f1170,f1171,f1172,f1173,f578,f1204,f1205,f1206,f1207,f1208,f1209,f579,f1221,f1222,f1223,f1224,f1225,f1226,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f582,f1228,f1229,f1230,f1231,f1232,f1233,f1079,f1080,f1081,f437,f1238,f1241,f1242,f932,f1256,f1257,f1258,f1259,f1008,f1276,f1277,f1278,f1279,f987,f1298,f445,f1304,f1305,f1163,f1315,f1164,f1316,f1165,f1317,f1166,f1321,f460,f1370,f1335,f1337,f1375,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1371,f1376,f1377,f1382,f1383,f1386,f463,f1452,f1417,f1419,f1457,f1424,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,f1453,f1459,f1464,f1465,f1468,f585,f586,f407,f1619,f1615,f1623,f1625,f1627,f409,f1690,f410,f1733,f1742,f1739,f561,f1807,f1808,f1809,f1810,f1848,f1816,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1813,f1850,f1852,f1854,f1855,f1856,f1857,f1858,f1859,f1860,f1861,f1862,f1863,f1864,f1865,f1866,f1867,f1868,f1869,f1870,f1876,f1878,f1879,f1871,f1925,f1927,f1928,f570,f571,f572,f2167,f2266,f2302,f2339,f427,f448,f449,f567,f2547,f2554,f2555,f2556,f2594,f2562,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2577,f2578,f2579,f2580,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f576,f2608,f2609,f2626,f2627,f2628,f583,f2704,f2705,f592,f2810,f2811,f2828,f593,f2932,f2933,f2944,f2951,f420,f3005,f421,f3087,f422,f3143,f3148,f3150,f423,f3189,f3191,f2865,f3204,f3206,f3202,f2977,f424,f3235,f3237,f478,f596,f3358,f3359,f3360,f597,f598,f3501,f3502,f3504,f2607,f3512,f3519,f3521,f3527,f3529,f3530,f3531,f3532,f3533,f3534,f3535,f3536,f3537,f3538,f3539,f3540,f3541,f3542,f3543,f3544,f3545,f3546,f3547,f3548,f3549,f3550,f3551,f3552,f3554,f3555,f3556,f2610,f3579,f3586,f3588,f3629,f3594,f3596,f3597,f3598,f3599,f3600,f3601,f3602,f3603,f3604,f3605,f3606,f3607,f3608,f3609,f3610,f3611,f3612,f3613,f3614,f3615,f3616,f3617,f3618,f3619,f3621,f3622,f3623,f3591,f3643,f3644,f3646,f568,f3647,f3654,f3655,f3656,f3697,f3662,f3664,f3665,f3666,f3667,f3668,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3682,f3683,f3684,f3685,f3686,f3687,f3689,f3690,f3691,f3645,f594,f3877,f3945,f3950,f3966,f595,f4257,f4278,f632,f4424,f4426,f4428,f3872,f3893,f425,f4178,f4199,f447,f588,f4604,f4611,f4612,f4613,f4616,f4658,f4619,f4621,f4622,f4623,f4624,f4625,f4626,f4627,f4628,f4629,f4630,f4631,f4632,f4633,f4634,f4635,f4636,f4637,f4638,f4639,f4640,f4641,f4642,f4643,f4644,f4649,f4650,f4651,f591,f4674,f4681,f4682,f4683,f4686,f4728,f4689,f4691,f4692,f4693,f4694,f4695,f4696,f4697,f4698,f4699,f4700,f4701,f4702,f4703,f4704,f4705,f4706,f4707,f4708,f4709,f4710,f4711,f4712,f4713,f4714,f4719,f4720,f4721,f428,f429,f489,f2696,f5139,f5146,f5148,f5154,f5156,f5157,f5158,f5159,f5160,f5161,f5162,f5163,f5164,f5165,f5166,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f5175,f5176,f5177,f5178,f5179,f5188,f5189,f5190,f2697,f5231,f5238,f5240,f5246,f5248,f5249,f5250,f5251,f5252,f5253,f5254,f5255,f5256,f5257,f5258,f5259,f5260,f5261,f5262,f5263,f5264,f5265,f5266,f5267,f5268,f5269,f5270,f5271,f5280,f5281,f5282,f500,f512,f524,f536,f5616,f1260,f547,f5662,f1261,f1262,f1263,f2559,f5725,f5672,f5674,f5748,f5680,f5682,f5683,f5684,f5685,f5686,f5687,f5688,f5689,f5690,f5691,f5692,f5693,f5694,f5695,f5696,f5697,f5698,f5699,f5700,f5701,f5702,f5703,f5704,f5705,f5714,f5715,f5716,f5741,f5792,f5793,f5794,f5795,f564,f5818,f5819,f5828,f5829,f580,f5961,f5962,f5958,f984,f6026,f5973,f5975,f5981,f5983,f5984,f5985,f5986,f5987,f5988,f5989,f5990,f5991,f5992,f5993,f5994,f5995,f5996,f5997,f5998,f5999,f6000,f6001,f6002,f6003,f6004,f6005,f6006,f6015,f6016,f6017,f985,f6151,f6098,f6100,f6106,f6108,f6109,f6110,f6111,f6112,f6113,f6114,f6115,f6116,f6117,f6118,f6119,f6120,f6121,f6122,f6123,f6124,f6125,f6126,f6127,f6128,f6129,f6130,f6131,f6140,f6141,f6142,f589,f590,f986,f6313,f6260,f6262,f6268,f6270,f6271,f6272,f6273,f6274,f6275,f6276,f6277,f6278,f6279,f6280,f6281,f6282,f6283,f6284,f6285,f6286,f6287,f6288,f6289,f6290,f6291,f6292,f6293,f6302,f6303,f6304,f1067,f6387,f599,f6451,f6450,f6449,f6480,f1458,f631,f6610,f6611,f6612,f6613,f6614,f6615,f6616,f6617,f6618,f6621,f6622,f6623,f6624,f6627,f6628,f612,f6912,f6913,f6914,f6915,f6916,f6917,f6920,f6921,f6922,f6923,f6926,f6927,f623,f7073,f626,f7275,f7274,f7273,f7380,f7456,f7457,f7458,f569,f618,f7774,f7775,f7776,f7777,f7778,f7779,f7780,f7781,f7782,f7783,f7784,f7785,f619,f7894,f7895,f7896,f7897,f7898,f7899,f7900,f7901,f7902,f7903,f7904,f7905,f6487,f7981,f7980,f7979,f6520,f7994,f7993,f7992,f615,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f1227,f8104,f1234,f8112,f1235,f8120,f1236,f8135,f616,f8145,f8146,f8147,f8148,f8149,f8150,f8151,f8152,f8153,f8154,f8155,f8156,f617,f8262,f8263,f8264,f8265,f8266,f8267,f8268,f8269,f8270,f8271,f8272,f8273,f8278,f2864,f2976,f833,f845,f8656,f3659,f8723,f8670,f8672,f8749,f8678,f8680,f8681,f8682,f8683,f8684,f8685,f8686,f8687,f8688,f8689,f8690,f8691,f8692,f8693,f8694,f8695,f8696,f8697,f8698,f8699,f8700,f8701,f8702,f8703,f8712,f8713,f8714,f8742,f8801,f8803,f8804,f8799,f8819,f8821,f8807,f8823,f8824,f8825,f8829,f8830,f8831,f8832,f8833,f8834,f8835,f8841,f8842,f8843,f8844,f8864,f8949,f8860,f8951,f8838,f8952,f8837,f8953,f8855,f8954,f8853,f8955,f8851]) ).

fof(f8851,plain,
    ( app(sK19,sK19) = cons(hd(sK19),app(tl(sK19),sK19))
    | nil = app(sK19,sK19)
    | spl69_1
    | ~ spl69_83 ),
    inference(forward_demodulation,[],[f8850,f5741]) ).

fof(f8850,plain,
    ( app(sK19,sK19) = cons(hd(app(sK19,sK19)),app(tl(sK19),sK19))
    | nil = app(sK19,sK19)
    | spl69_1
    | ~ spl69_83 ),
    inference(forward_demodulation,[],[f8826,f8742]) ).

fof(f8826,plain,
    ( nil = app(sK19,sK19)
    | app(sK19,sK19) = cons(hd(app(sK19,sK19)),tl(app(sK19,sK19)))
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f463]) ).

fof(f8955,plain,
    ( hd(sK19) = sK24(app(sK19,sK19))
    | spl69_1
    | spl69_81
    | ~ spl69_83 ),
    inference(global_subsumption,[],[f384,f381,f419,f634,f620,f621,f622,f625,f627,f630,f375,f376,f377,f378,f382,f386,f387,f388,f389,f390,f391,f392,f393,f394,f600,f601,f379,f380,f640,f643,f602,f607,f609,f635,f636,f637,f480,f491,f503,f515,f527,f538,f549,f385,f647,f395,f396,f397,f398,f450,f451,f452,f453,f454,f455,f474,f475,f476,f477,f484,f485,f486,f487,f488,f495,f496,f497,f498,f499,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f542,f543,f544,f545,f546,f638,f399,f400,f401,f402,f403,f404,f405,f471,f481,f492,f504,f516,f528,f529,f539,f540,f653,f654,f655,f656,f657,f658,f659,f660,f661,f438,f446,f456,f691,f692,f667,f668,f457,f718,f719,f694,f695,f468,f479,f490,f501,f502,f513,f514,f525,f526,f537,f548,f434,f442,f458,f722,f723,f459,f461,f462,f724,f725,f464,f466,f726,f727,f550,f552,f554,f556,f743,f744,f566,f745,f746,f383,f557,f757,f758,f760,f558,f633,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f797,f686,f798,f687,f799,f688,f800,f689,f801,f690,f802,f698,f796,f807,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f406,f709,f710,f711,f712,f808,f713,f809,f714,f810,f715,f811,f716,f812,f717,f813,f408,f412,f413,f414,f415,f416,f418,f431,f432,f435,f439,f440,f443,f846,f847,f465,f878,f849,f851,f886,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f880,f467,f919,f890,f892,f927,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f921,f469,f559,f930,f931,f933,f960,f961,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f934,f962,f963,f964,f965,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f935,f1002,f1003,f966,f560,f1006,f1007,f1009,f1036,f1037,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1010,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1057,f1061,f1062,f1011,f1064,f1065,f1066,f1082,f1084,f1085,f1083,f1087,f1088,f967,f968,f969,f574,f1106,f893,f1109,f852,f611,f1134,f562,f1150,f1151,f1152,f1153,f1154,f1155,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f563,f1157,f1158,f1159,f1160,f1161,f1162,f998,f999,f1000,f1001,f575,f1168,f1169,f1170,f1171,f1172,f1173,f578,f1204,f1205,f1206,f1207,f1208,f1209,f579,f1221,f1222,f1223,f1224,f1225,f1226,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f582,f1228,f1229,f1230,f1231,f1232,f1233,f1079,f1080,f1081,f437,f1238,f1241,f1242,f932,f1256,f1257,f1258,f1259,f1008,f1276,f1277,f1278,f1279,f987,f1298,f445,f1304,f1305,f1163,f1315,f1164,f1316,f1165,f1317,f1166,f1321,f460,f1370,f1335,f1337,f1375,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1371,f1376,f1377,f1382,f1383,f1386,f463,f1452,f1417,f1419,f1457,f1424,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,f1453,f1459,f1464,f1465,f1468,f585,f586,f407,f1619,f1615,f1623,f1625,f1627,f409,f1690,f410,f1733,f1742,f1739,f561,f1807,f1808,f1809,f1810,f1848,f1816,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1813,f1850,f1852,f1854,f1855,f1856,f1857,f1858,f1859,f1860,f1861,f1862,f1863,f1864,f1865,f1866,f1867,f1868,f1869,f1870,f1876,f1878,f1879,f1871,f1925,f1927,f1928,f570,f571,f572,f2167,f2266,f2302,f2339,f427,f448,f449,f567,f2547,f2554,f2555,f2556,f2594,f2562,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2577,f2578,f2579,f2580,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f576,f2608,f2609,f2626,f2627,f2628,f583,f2704,f2705,f592,f2810,f2811,f2828,f593,f2932,f2933,f2944,f2951,f420,f3005,f421,f3087,f422,f3143,f3148,f3150,f423,f3189,f3191,f2865,f3204,f3206,f3202,f2977,f424,f3235,f3237,f478,f596,f3358,f3359,f3360,f597,f598,f3501,f3502,f3504,f2607,f3512,f3519,f3521,f3527,f3529,f3530,f3531,f3532,f3533,f3534,f3535,f3536,f3537,f3538,f3539,f3540,f3541,f3542,f3543,f3544,f3545,f3546,f3547,f3548,f3549,f3550,f3551,f3552,f3554,f3555,f3556,f2610,f3579,f3586,f3588,f3629,f3594,f3596,f3597,f3598,f3599,f3600,f3601,f3602,f3603,f3604,f3605,f3606,f3607,f3608,f3609,f3610,f3611,f3612,f3613,f3614,f3615,f3616,f3617,f3618,f3619,f3621,f3622,f3623,f3591,f3643,f3644,f3646,f568,f3647,f3654,f3655,f3656,f3697,f3662,f3664,f3665,f3666,f3667,f3668,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3682,f3683,f3684,f3685,f3686,f3687,f3689,f3690,f3691,f3645,f594,f3877,f3945,f3950,f3966,f595,f4257,f4278,f632,f4424,f4426,f4428,f3872,f3893,f425,f4178,f4199,f447,f588,f4604,f4611,f4612,f4613,f4616,f4658,f4619,f4621,f4622,f4623,f4624,f4625,f4626,f4627,f4628,f4629,f4630,f4631,f4632,f4633,f4634,f4635,f4636,f4637,f4638,f4639,f4640,f4641,f4642,f4643,f4644,f4649,f4650,f4651,f591,f4674,f4681,f4682,f4683,f4686,f4728,f4689,f4691,f4692,f4693,f4694,f4695,f4696,f4697,f4698,f4699,f4700,f4701,f4702,f4703,f4704,f4705,f4706,f4707,f4708,f4709,f4710,f4711,f4712,f4713,f4714,f4719,f4720,f4721,f428,f429,f489,f2696,f5139,f5146,f5148,f5154,f5156,f5157,f5158,f5159,f5160,f5161,f5162,f5163,f5164,f5165,f5166,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f5175,f5176,f5177,f5178,f5179,f5188,f5189,f5190,f2697,f5231,f5238,f5240,f5246,f5248,f5249,f5250,f5251,f5252,f5253,f5254,f5255,f5256,f5257,f5258,f5259,f5260,f5261,f5262,f5263,f5264,f5265,f5266,f5267,f5268,f5269,f5270,f5271,f5280,f5281,f5282,f500,f512,f524,f536,f5616,f1260,f547,f5662,f1261,f1262,f1263,f2559,f5725,f5672,f5674,f5748,f5680,f5682,f5683,f5684,f5685,f5686,f5687,f5688,f5689,f5690,f5691,f5692,f5693,f5694,f5695,f5696,f5697,f5698,f5699,f5700,f5701,f5702,f5703,f5704,f5705,f5714,f5715,f5716,f5741,f5792,f5793,f5794,f5795,f564,f5818,f5819,f5828,f5829,f580,f5961,f5962,f5958,f984,f6026,f5973,f5975,f5981,f5983,f5984,f5985,f5986,f5987,f5988,f5989,f5990,f5991,f5992,f5993,f5994,f5995,f5996,f5997,f5998,f5999,f6000,f6001,f6002,f6003,f6004,f6005,f6006,f6015,f6016,f6017,f985,f6151,f6098,f6100,f6106,f6108,f6109,f6110,f6111,f6112,f6113,f6114,f6115,f6116,f6117,f6118,f6119,f6120,f6121,f6122,f6123,f6124,f6125,f6126,f6127,f6128,f6129,f6130,f6131,f6140,f6141,f6142,f589,f590,f986,f6313,f6260,f6262,f6268,f6270,f6271,f6272,f6273,f6274,f6275,f6276,f6277,f6278,f6279,f6280,f6281,f6282,f6283,f6284,f6285,f6286,f6287,f6288,f6289,f6290,f6291,f6292,f6293,f6302,f6303,f6304,f1067,f6387,f599,f6451,f6450,f6449,f6480,f1458,f631,f6610,f6611,f6612,f6613,f6614,f6615,f6616,f6617,f6618,f6621,f6622,f6623,f6624,f6627,f6628,f612,f6912,f6913,f6914,f6915,f6916,f6917,f6920,f6921,f6922,f6923,f6926,f6927,f623,f7073,f626,f7275,f7274,f7273,f7380,f7456,f7457,f7458,f569,f618,f7774,f7775,f7776,f7777,f7778,f7779,f7780,f7781,f7782,f7783,f7784,f7785,f619,f7894,f7895,f7896,f7897,f7898,f7899,f7900,f7901,f7902,f7903,f7904,f7905,f6487,f7981,f7980,f7979,f6520,f7994,f7993,f7992,f615,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f1227,f8104,f1234,f8112,f1235,f8120,f1236,f8135,f616,f8145,f8146,f8147,f8148,f8149,f8150,f8151,f8152,f8153,f8154,f8155,f8156,f617,f8262,f8263,f8264,f8265,f8266,f8267,f8268,f8269,f8270,f8271,f8272,f8273,f8278,f2864,f2976,f833,f845,f8656,f3659,f8723,f8670,f8672,f8749,f8678,f8680,f8681,f8682,f8683,f8684,f8685,f8686,f8687,f8688,f8689,f8690,f8691,f8692,f8693,f8694,f8695,f8696,f8697,f8698,f8699,f8700,f8701,f8702,f8703,f8712,f8713,f8714,f8742,f8801,f8803,f8804,f8799,f8819,f8821,f8807,f8823,f8824,f8825,f8851,f8829,f8830,f8831,f8832,f8833,f8834,f8835,f8841,f8842,f8843,f8844,f8864,f8949,f8860,f8951,f8838,f8952,f8837,f8953,f8855,f8954,f8853]) ).

fof(f8853,plain,
    ( hd(sK19) = sK24(app(sK19,sK19))
    | nil = app(sK19,sK19)
    | spl69_1
    | ~ spl69_83 ),
    inference(forward_demodulation,[],[f8827,f5741]) ).

fof(f8827,plain,
    ( nil = app(sK19,sK19)
    | hd(app(sK19,sK19)) = sK24(app(sK19,sK19))
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f465]) ).

fof(f8954,plain,
    ( app(tl(sK19),sK19) = sK25(app(sK19,sK19))
    | spl69_1
    | spl69_81
    | ~ spl69_83 ),
    inference(global_subsumption,[],[f384,f381,f419,f634,f620,f621,f622,f625,f627,f630,f375,f376,f377,f378,f382,f386,f387,f388,f389,f390,f391,f392,f393,f394,f600,f601,f379,f380,f640,f643,f602,f607,f609,f635,f636,f637,f480,f491,f503,f515,f527,f538,f549,f385,f647,f395,f396,f397,f398,f450,f451,f452,f453,f454,f455,f474,f475,f476,f477,f484,f485,f486,f487,f488,f495,f496,f497,f498,f499,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f542,f543,f544,f545,f546,f638,f399,f400,f401,f402,f403,f404,f405,f471,f481,f492,f504,f516,f528,f529,f539,f540,f653,f654,f655,f656,f657,f658,f659,f660,f661,f438,f446,f456,f691,f692,f667,f668,f457,f718,f719,f694,f695,f468,f479,f490,f501,f502,f513,f514,f525,f526,f537,f548,f434,f442,f458,f722,f723,f459,f461,f462,f724,f725,f464,f466,f726,f727,f550,f552,f554,f556,f743,f744,f566,f745,f746,f383,f557,f757,f758,f760,f558,f633,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f797,f686,f798,f687,f799,f688,f800,f689,f801,f690,f802,f698,f796,f807,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f406,f709,f710,f711,f712,f808,f713,f809,f714,f810,f715,f811,f716,f812,f717,f813,f408,f412,f413,f414,f415,f416,f418,f431,f432,f435,f439,f440,f443,f846,f847,f465,f878,f849,f851,f886,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f880,f467,f919,f890,f892,f927,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f921,f469,f559,f930,f931,f933,f960,f961,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f934,f962,f963,f964,f965,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f935,f1002,f1003,f966,f560,f1006,f1007,f1009,f1036,f1037,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1010,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1057,f1061,f1062,f1011,f1064,f1065,f1066,f1082,f1084,f1085,f1083,f1087,f1088,f967,f968,f969,f574,f1106,f893,f1109,f852,f611,f1134,f562,f1150,f1151,f1152,f1153,f1154,f1155,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f563,f1157,f1158,f1159,f1160,f1161,f1162,f998,f999,f1000,f1001,f575,f1168,f1169,f1170,f1171,f1172,f1173,f578,f1204,f1205,f1206,f1207,f1208,f1209,f579,f1221,f1222,f1223,f1224,f1225,f1226,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f582,f1228,f1229,f1230,f1231,f1232,f1233,f1079,f1080,f1081,f437,f1238,f1241,f1242,f932,f1256,f1257,f1258,f1259,f1008,f1276,f1277,f1278,f1279,f987,f1298,f445,f1304,f1305,f1163,f1315,f1164,f1316,f1165,f1317,f1166,f1321,f460,f1370,f1335,f1337,f1375,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1371,f1376,f1377,f1382,f1383,f1386,f463,f1452,f1417,f1419,f1457,f1424,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,f1453,f1459,f1464,f1465,f1468,f585,f586,f407,f1619,f1615,f1623,f1625,f1627,f409,f1690,f410,f1733,f1742,f1739,f561,f1807,f1808,f1809,f1810,f1848,f1816,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1813,f1850,f1852,f1854,f1855,f1856,f1857,f1858,f1859,f1860,f1861,f1862,f1863,f1864,f1865,f1866,f1867,f1868,f1869,f1870,f1876,f1878,f1879,f1871,f1925,f1927,f1928,f570,f571,f572,f2167,f2266,f2302,f2339,f427,f448,f449,f567,f2547,f2554,f2555,f2556,f2594,f2562,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2577,f2578,f2579,f2580,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f576,f2608,f2609,f2626,f2627,f2628,f583,f2704,f2705,f592,f2810,f2811,f2828,f593,f2932,f2933,f2944,f2951,f420,f3005,f421,f3087,f422,f3143,f3148,f3150,f423,f3189,f3191,f2865,f3204,f3206,f3202,f2977,f424,f3235,f3237,f478,f596,f3358,f3359,f3360,f597,f598,f3501,f3502,f3504,f2607,f3512,f3519,f3521,f3527,f3529,f3530,f3531,f3532,f3533,f3534,f3535,f3536,f3537,f3538,f3539,f3540,f3541,f3542,f3543,f3544,f3545,f3546,f3547,f3548,f3549,f3550,f3551,f3552,f3554,f3555,f3556,f2610,f3579,f3586,f3588,f3629,f3594,f3596,f3597,f3598,f3599,f3600,f3601,f3602,f3603,f3604,f3605,f3606,f3607,f3608,f3609,f3610,f3611,f3612,f3613,f3614,f3615,f3616,f3617,f3618,f3619,f3621,f3622,f3623,f3591,f3643,f3644,f3646,f568,f3647,f3654,f3655,f3656,f3697,f3662,f3664,f3665,f3666,f3667,f3668,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3682,f3683,f3684,f3685,f3686,f3687,f3689,f3690,f3691,f3645,f594,f3877,f3945,f3950,f3966,f595,f4257,f4278,f632,f4424,f4426,f4428,f3872,f3893,f425,f4178,f4199,f447,f588,f4604,f4611,f4612,f4613,f4616,f4658,f4619,f4621,f4622,f4623,f4624,f4625,f4626,f4627,f4628,f4629,f4630,f4631,f4632,f4633,f4634,f4635,f4636,f4637,f4638,f4639,f4640,f4641,f4642,f4643,f4644,f4649,f4650,f4651,f591,f4674,f4681,f4682,f4683,f4686,f4728,f4689,f4691,f4692,f4693,f4694,f4695,f4696,f4697,f4698,f4699,f4700,f4701,f4702,f4703,f4704,f4705,f4706,f4707,f4708,f4709,f4710,f4711,f4712,f4713,f4714,f4719,f4720,f4721,f428,f429,f489,f2696,f5139,f5146,f5148,f5154,f5156,f5157,f5158,f5159,f5160,f5161,f5162,f5163,f5164,f5165,f5166,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f5175,f5176,f5177,f5178,f5179,f5188,f5189,f5190,f2697,f5231,f5238,f5240,f5246,f5248,f5249,f5250,f5251,f5252,f5253,f5254,f5255,f5256,f5257,f5258,f5259,f5260,f5261,f5262,f5263,f5264,f5265,f5266,f5267,f5268,f5269,f5270,f5271,f5280,f5281,f5282,f500,f512,f524,f536,f5616,f1260,f547,f5662,f1261,f1262,f1263,f2559,f5725,f5672,f5674,f5748,f5680,f5682,f5683,f5684,f5685,f5686,f5687,f5688,f5689,f5690,f5691,f5692,f5693,f5694,f5695,f5696,f5697,f5698,f5699,f5700,f5701,f5702,f5703,f5704,f5705,f5714,f5715,f5716,f5741,f5792,f5793,f5794,f5795,f564,f5818,f5819,f5828,f5829,f580,f5961,f5962,f5958,f984,f6026,f5973,f5975,f5981,f5983,f5984,f5985,f5986,f5987,f5988,f5989,f5990,f5991,f5992,f5993,f5994,f5995,f5996,f5997,f5998,f5999,f6000,f6001,f6002,f6003,f6004,f6005,f6006,f6015,f6016,f6017,f985,f6151,f6098,f6100,f6106,f6108,f6109,f6110,f6111,f6112,f6113,f6114,f6115,f6116,f6117,f6118,f6119,f6120,f6121,f6122,f6123,f6124,f6125,f6126,f6127,f6128,f6129,f6130,f6131,f6140,f6141,f6142,f589,f590,f986,f6313,f6260,f6262,f6268,f6270,f6271,f6272,f6273,f6274,f6275,f6276,f6277,f6278,f6279,f6280,f6281,f6282,f6283,f6284,f6285,f6286,f6287,f6288,f6289,f6290,f6291,f6292,f6293,f6302,f6303,f6304,f1067,f6387,f599,f6451,f6450,f6449,f6480,f1458,f631,f6610,f6611,f6612,f6613,f6614,f6615,f6616,f6617,f6618,f6621,f6622,f6623,f6624,f6627,f6628,f612,f6912,f6913,f6914,f6915,f6916,f6917,f6920,f6921,f6922,f6923,f6926,f6927,f623,f7073,f626,f7275,f7274,f7273,f7380,f7456,f7457,f7458,f569,f618,f7774,f7775,f7776,f7777,f7778,f7779,f7780,f7781,f7782,f7783,f7784,f7785,f619,f7894,f7895,f7896,f7897,f7898,f7899,f7900,f7901,f7902,f7903,f7904,f7905,f6487,f7981,f7980,f7979,f6520,f7994,f7993,f7992,f615,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f1227,f8104,f1234,f8112,f1235,f8120,f1236,f8135,f616,f8145,f8146,f8147,f8148,f8149,f8150,f8151,f8152,f8153,f8154,f8155,f8156,f617,f8262,f8263,f8264,f8265,f8266,f8267,f8268,f8269,f8270,f8271,f8272,f8273,f8278,f2864,f2976,f833,f845,f8656,f3659,f8723,f8670,f8672,f8749,f8678,f8680,f8681,f8682,f8683,f8684,f8685,f8686,f8687,f8688,f8689,f8690,f8691,f8692,f8693,f8694,f8695,f8696,f8697,f8698,f8699,f8700,f8701,f8702,f8703,f8712,f8713,f8714,f8742,f8801,f8803,f8804,f8799,f8819,f8821,f8807,f8823,f8824,f8825,f8851,f8853,f8829,f8830,f8831,f8832,f8833,f8834,f8835,f8841,f8842,f8843,f8844,f8864,f8949,f8860,f8951,f8838,f8952,f8837,f8953,f8855]) ).

fof(f8855,plain,
    ( app(tl(sK19),sK19) = sK25(app(sK19,sK19))
    | nil = app(sK19,sK19)
    | spl69_1
    | ~ spl69_83 ),
    inference(forward_demodulation,[],[f8828,f8742]) ).

fof(f8828,plain,
    ( nil = app(sK19,sK19)
    | tl(app(sK19,sK19)) = sK25(app(sK19,sK19))
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f467]) ).

fof(f8953,plain,
    ( sK19 = tl(cons(sK23(app(sK19,sK19)),sK19))
    | spl69_81
    | ~ spl69_83 ),
    inference(global_subsumption,[],[f384,f381,f419,f634,f620,f621,f622,f625,f627,f630,f375,f376,f377,f378,f382,f386,f387,f388,f389,f390,f391,f392,f393,f394,f600,f601,f379,f380,f640,f643,f602,f607,f609,f635,f636,f637,f480,f491,f503,f515,f527,f538,f549,f385,f395,f396,f397,f398,f450,f451,f452,f453,f454,f455,f474,f475,f476,f477,f484,f485,f486,f487,f488,f495,f496,f497,f498,f499,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f542,f543,f544,f545,f546,f638,f399,f400,f401,f402,f403,f404,f405,f471,f481,f492,f504,f516,f528,f529,f539,f540,f653,f654,f655,f656,f657,f658,f659,f660,f661,f438,f446,f456,f691,f692,f667,f668,f457,f718,f719,f694,f695,f468,f479,f490,f501,f502,f513,f514,f525,f526,f537,f548,f434,f442,f458,f722,f723,f459,f461,f462,f724,f725,f464,f466,f726,f727,f550,f552,f554,f556,f743,f744,f566,f745,f746,f383,f557,f757,f758,f760,f558,f633,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f797,f686,f798,f687,f799,f688,f800,f689,f801,f690,f802,f698,f796,f807,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f406,f709,f710,f711,f712,f808,f713,f809,f714,f810,f715,f811,f716,f812,f717,f813,f408,f412,f413,f414,f415,f416,f418,f431,f432,f435,f439,f440,f443,f846,f847,f465,f878,f849,f851,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f467,f919,f890,f892,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f469,f559,f930,f931,f933,f960,f961,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f934,f962,f963,f964,f965,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f935,f1002,f1003,f966,f560,f1006,f1007,f1009,f1036,f1037,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1010,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1057,f1061,f1062,f1011,f1064,f1065,f1066,f1082,f1084,f1085,f1083,f1087,f1088,f967,f968,f969,f574,f1106,f893,f1109,f852,f611,f1134,f562,f1150,f1151,f1152,f1153,f1154,f1155,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f563,f1157,f1158,f1159,f1160,f1161,f1162,f998,f999,f1000,f1001,f575,f1168,f1169,f1170,f1171,f1172,f1173,f578,f1204,f1205,f1206,f1207,f1208,f1209,f579,f1221,f1222,f1223,f1224,f1225,f1226,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f582,f1228,f1229,f1230,f1231,f1232,f1233,f1079,f1080,f1081,f437,f1238,f1241,f1242,f932,f1256,f1257,f1258,f1259,f1008,f1276,f1277,f1278,f1279,f987,f1298,f445,f1304,f1305,f1163,f1315,f1164,f1316,f1165,f1317,f1166,f1321,f460,f1370,f1335,f1337,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f463,f1452,f1417,f1419,f1424,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,f585,f586,f407,f1619,f1615,f1623,f1625,f1627,f409,f1690,f410,f1733,f1742,f1739,f561,f1807,f1808,f1809,f1810,f1848,f1816,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1813,f1850,f1852,f1854,f1855,f1856,f1857,f1858,f1859,f1860,f1861,f1862,f1863,f1864,f1865,f1866,f1867,f1868,f1869,f1870,f1876,f1879,f1871,f1925,f1928,f570,f571,f572,f2167,f2266,f2302,f2339,f427,f448,f449,f567,f2547,f2554,f2555,f2556,f2594,f2562,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2577,f2578,f2579,f2580,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f576,f2608,f2609,f2626,f2627,f2628,f583,f2704,f2705,f592,f2810,f2811,f2828,f593,f2932,f2933,f2944,f2951,f420,f3005,f421,f3087,f422,f3143,f3148,f3150,f423,f3189,f3191,f2865,f2977,f424,f3235,f3237,f478,f596,f3358,f3359,f3360,f597,f598,f3501,f3502,f3504,f2607,f3512,f3519,f3521,f3527,f3529,f3530,f3531,f3532,f3533,f3534,f3535,f3536,f3537,f3538,f3539,f3540,f3541,f3542,f3543,f3544,f3545,f3546,f3547,f3548,f3549,f3550,f3551,f3552,f3554,f3555,f3556,f2610,f3579,f3586,f3588,f3629,f3594,f3596,f3597,f3598,f3599,f3600,f3601,f3602,f3603,f3604,f3605,f3606,f3607,f3608,f3609,f3610,f3611,f3612,f3613,f3614,f3615,f3616,f3617,f3618,f3619,f3621,f3622,f3623,f3591,f3643,f3644,f3646,f568,f3647,f3654,f3655,f3656,f3697,f3662,f3664,f3665,f3666,f3667,f3668,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3682,f3683,f3684,f3685,f3686,f3687,f3689,f3690,f3691,f3645,f594,f3877,f3945,f3950,f3966,f595,f4257,f4278,f632,f4424,f4426,f4428,f3872,f3893,f425,f4178,f4199,f447,f588,f4604,f4611,f4612,f4613,f4616,f4658,f4619,f4621,f4622,f4623,f4624,f4625,f4626,f4627,f4628,f4629,f4630,f4631,f4632,f4633,f4634,f4635,f4636,f4637,f4638,f4639,f4640,f4641,f4642,f4643,f4644,f4649,f4650,f4651,f591,f4674,f4681,f4682,f4683,f4686,f4728,f4689,f4691,f4692,f4693,f4694,f4695,f4696,f4697,f4698,f4699,f4700,f4701,f4702,f4703,f4704,f4705,f4706,f4707,f4708,f4709,f4710,f4711,f4712,f4713,f4714,f4719,f4720,f4721,f428,f429,f489,f2696,f5139,f5146,f5148,f5154,f5156,f5157,f5158,f5159,f5160,f5161,f5162,f5163,f5164,f5165,f5166,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f5175,f5176,f5177,f5178,f5179,f5188,f5189,f5190,f2697,f5231,f5238,f5240,f5246,f5248,f5249,f5250,f5251,f5252,f5253,f5254,f5255,f5256,f5257,f5258,f5259,f5260,f5261,f5262,f5263,f5264,f5265,f5266,f5267,f5268,f5269,f5270,f5271,f5280,f5281,f5282,f500,f512,f524,f536,f5616,f1260,f547,f5662,f1261,f1262,f1263,f2559,f5725,f5672,f5674,f5680,f5682,f5683,f5684,f5685,f5686,f5687,f5688,f5689,f5690,f5691,f5692,f5693,f5694,f5695,f5696,f5697,f5698,f5699,f5700,f5701,f5702,f5703,f5704,f5705,f5714,f5715,f5716,f564,f5818,f5819,f5828,f5829,f580,f5961,f5962,f5958,f984,f6026,f5973,f5975,f5981,f5983,f5984,f5985,f5986,f5987,f5988,f5989,f5990,f5991,f5992,f5993,f5994,f5995,f5996,f5997,f5998,f5999,f6000,f6001,f6002,f6003,f6004,f6005,f6006,f6015,f6016,f6017,f985,f6151,f6098,f6100,f6106,f6108,f6109,f6110,f6111,f6112,f6113,f6114,f6115,f6116,f6117,f6118,f6119,f6120,f6121,f6122,f6123,f6124,f6125,f6126,f6127,f6128,f6129,f6130,f6131,f6140,f6141,f6142,f589,f590,f986,f6313,f6260,f6262,f6268,f6270,f6271,f6272,f6273,f6274,f6275,f6276,f6277,f6278,f6279,f6280,f6281,f6282,f6283,f6284,f6285,f6286,f6287,f6288,f6289,f6290,f6291,f6292,f6293,f6302,f6303,f6304,f1067,f6387,f599,f6451,f6450,f6449,f6480,f631,f6610,f6611,f6612,f6613,f6614,f6615,f6616,f6617,f6618,f6621,f6622,f6623,f6624,f6627,f6628,f612,f6912,f6913,f6914,f6915,f6916,f6917,f6920,f6921,f6922,f6923,f6926,f6927,f623,f7073,f626,f7275,f7274,f7273,f7380,f7456,f7457,f7458,f569,f618,f7774,f7775,f7776,f7777,f7778,f7779,f7780,f7781,f7782,f7783,f7784,f7785,f619,f7894,f7895,f7896,f7897,f7898,f7899,f7900,f7901,f7902,f7903,f7904,f7905,f6487,f7981,f7980,f7979,f6520,f7994,f7993,f7992,f615,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f1227,f8104,f1234,f8112,f1235,f8120,f1236,f8135,f616,f8145,f8146,f8147,f8148,f8149,f8150,f8151,f8152,f8153,f8154,f8155,f8156,f617,f8262,f8263,f8264,f8265,f8266,f8267,f8268,f8269,f8270,f8271,f8272,f8273,f8278,f2864,f2976,f833,f845,f8656,f3659,f8723,f8670,f8672,f8678,f8680,f8681,f8682,f8683,f8684,f8685,f8686,f8687,f8688,f8689,f8690,f8691,f8692,f8693,f8694,f8695,f8696,f8697,f8698,f8699,f8700,f8701,f8702,f8703,f8712,f8713,f8714,f8807,f8823,f8824,f8825,f8829,f8830,f8831,f8832,f8833,f8834,f8835,f8841,f8842,f8843,f8844,f8838,f8952,f8837]) ).

fof(f8837,plain,
    ( nil = app(sK19,sK19)
    | sK19 = tl(cons(sK23(app(sK19,sK19)),sK19))
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f985]) ).

fof(f8952,plain,
    ( sK19 = tl(cons(sK24(app(sK19,sK19)),sK19))
    | spl69_81
    | ~ spl69_83 ),
    inference(global_subsumption,[],[f384,f381,f419,f634,f620,f621,f622,f625,f627,f630,f375,f376,f377,f378,f382,f386,f387,f388,f389,f390,f391,f392,f393,f394,f600,f601,f379,f380,f640,f643,f602,f607,f609,f635,f636,f637,f480,f491,f503,f515,f527,f538,f549,f385,f395,f396,f397,f398,f450,f451,f452,f453,f454,f455,f474,f475,f476,f477,f484,f485,f486,f487,f488,f495,f496,f497,f498,f499,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f542,f543,f544,f545,f546,f638,f399,f400,f401,f402,f403,f404,f405,f471,f481,f492,f504,f516,f528,f529,f539,f540,f653,f654,f655,f656,f657,f658,f659,f660,f661,f438,f446,f456,f691,f692,f667,f668,f457,f718,f719,f694,f695,f468,f479,f490,f501,f502,f513,f514,f525,f526,f537,f548,f434,f442,f458,f722,f723,f459,f461,f462,f724,f725,f464,f466,f726,f727,f550,f552,f554,f556,f743,f744,f566,f745,f746,f383,f557,f757,f758,f760,f558,f633,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f797,f686,f798,f687,f799,f688,f800,f689,f801,f690,f802,f698,f796,f807,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f406,f709,f710,f711,f712,f808,f713,f809,f714,f810,f715,f811,f716,f812,f717,f813,f408,f412,f413,f414,f415,f416,f418,f431,f432,f435,f439,f440,f443,f846,f847,f465,f878,f849,f851,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f467,f919,f890,f892,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f469,f559,f930,f931,f933,f960,f961,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f934,f962,f963,f964,f965,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f935,f1002,f1003,f966,f560,f1006,f1007,f1009,f1036,f1037,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1010,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1057,f1061,f1062,f1011,f1064,f1065,f1066,f1082,f1084,f1085,f1083,f1087,f1088,f967,f968,f969,f574,f1106,f893,f1109,f852,f611,f1134,f562,f1150,f1151,f1152,f1153,f1154,f1155,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f563,f1157,f1158,f1159,f1160,f1161,f1162,f998,f999,f1000,f1001,f575,f1168,f1169,f1170,f1171,f1172,f1173,f578,f1204,f1205,f1206,f1207,f1208,f1209,f579,f1221,f1222,f1223,f1224,f1225,f1226,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f582,f1228,f1229,f1230,f1231,f1232,f1233,f1079,f1080,f1081,f437,f1238,f1241,f1242,f932,f1256,f1257,f1258,f1259,f1008,f1276,f1277,f1278,f1279,f987,f1298,f445,f1304,f1305,f1163,f1315,f1164,f1316,f1165,f1317,f1166,f1321,f460,f1370,f1335,f1337,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f463,f1452,f1417,f1419,f1424,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,f585,f586,f407,f1619,f1615,f1623,f1625,f1627,f409,f1690,f410,f1733,f1742,f1739,f561,f1807,f1808,f1809,f1810,f1848,f1816,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1813,f1850,f1852,f1854,f1855,f1856,f1857,f1858,f1859,f1860,f1861,f1862,f1863,f1864,f1865,f1866,f1867,f1868,f1869,f1870,f1876,f1879,f1871,f1925,f1928,f570,f571,f572,f2167,f2266,f2302,f2339,f427,f448,f449,f567,f2547,f2554,f2555,f2556,f2594,f2562,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2577,f2578,f2579,f2580,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f576,f2608,f2609,f2626,f2627,f2628,f583,f2704,f2705,f592,f2810,f2811,f2828,f593,f2932,f2933,f2944,f2951,f420,f3005,f421,f3087,f422,f3143,f3148,f3150,f423,f3189,f3191,f2865,f2977,f424,f3235,f3237,f478,f596,f3358,f3359,f3360,f597,f598,f3501,f3502,f3504,f2607,f3512,f3519,f3521,f3527,f3529,f3530,f3531,f3532,f3533,f3534,f3535,f3536,f3537,f3538,f3539,f3540,f3541,f3542,f3543,f3544,f3545,f3546,f3547,f3548,f3549,f3550,f3551,f3552,f3554,f3555,f3556,f2610,f3579,f3586,f3588,f3629,f3594,f3596,f3597,f3598,f3599,f3600,f3601,f3602,f3603,f3604,f3605,f3606,f3607,f3608,f3609,f3610,f3611,f3612,f3613,f3614,f3615,f3616,f3617,f3618,f3619,f3621,f3622,f3623,f3591,f3643,f3644,f3646,f568,f3647,f3654,f3655,f3656,f3697,f3662,f3664,f3665,f3666,f3667,f3668,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3682,f3683,f3684,f3685,f3686,f3687,f3689,f3690,f3691,f3645,f594,f3877,f3945,f3950,f3966,f595,f4257,f4278,f632,f4424,f4426,f4428,f3872,f3893,f425,f4178,f4199,f447,f588,f4604,f4611,f4612,f4613,f4616,f4658,f4619,f4621,f4622,f4623,f4624,f4625,f4626,f4627,f4628,f4629,f4630,f4631,f4632,f4633,f4634,f4635,f4636,f4637,f4638,f4639,f4640,f4641,f4642,f4643,f4644,f4649,f4650,f4651,f591,f4674,f4681,f4682,f4683,f4686,f4728,f4689,f4691,f4692,f4693,f4694,f4695,f4696,f4697,f4698,f4699,f4700,f4701,f4702,f4703,f4704,f4705,f4706,f4707,f4708,f4709,f4710,f4711,f4712,f4713,f4714,f4719,f4720,f4721,f428,f429,f489,f2696,f5139,f5146,f5148,f5154,f5156,f5157,f5158,f5159,f5160,f5161,f5162,f5163,f5164,f5165,f5166,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f5175,f5176,f5177,f5178,f5179,f5188,f5189,f5190,f2697,f5231,f5238,f5240,f5246,f5248,f5249,f5250,f5251,f5252,f5253,f5254,f5255,f5256,f5257,f5258,f5259,f5260,f5261,f5262,f5263,f5264,f5265,f5266,f5267,f5268,f5269,f5270,f5271,f5280,f5281,f5282,f500,f512,f524,f536,f5616,f1260,f547,f5662,f1261,f1262,f1263,f2559,f5725,f5672,f5674,f5680,f5682,f5683,f5684,f5685,f5686,f5687,f5688,f5689,f5690,f5691,f5692,f5693,f5694,f5695,f5696,f5697,f5698,f5699,f5700,f5701,f5702,f5703,f5704,f5705,f5714,f5715,f5716,f564,f5818,f5819,f5828,f5829,f580,f5961,f5962,f5958,f984,f6026,f5973,f5975,f5981,f5983,f5984,f5985,f5986,f5987,f5988,f5989,f5990,f5991,f5992,f5993,f5994,f5995,f5996,f5997,f5998,f5999,f6000,f6001,f6002,f6003,f6004,f6005,f6006,f6015,f6016,f6017,f985,f6151,f6098,f6100,f6106,f6108,f6109,f6110,f6111,f6112,f6113,f6114,f6115,f6116,f6117,f6118,f6119,f6120,f6121,f6122,f6123,f6124,f6125,f6126,f6127,f6128,f6129,f6130,f6131,f6140,f6141,f6142,f589,f590,f986,f6313,f6260,f6262,f6268,f6270,f6271,f6272,f6273,f6274,f6275,f6276,f6277,f6278,f6279,f6280,f6281,f6282,f6283,f6284,f6285,f6286,f6287,f6288,f6289,f6290,f6291,f6292,f6293,f6302,f6303,f6304,f1067,f6387,f599,f6451,f6450,f6449,f6480,f631,f6610,f6611,f6612,f6613,f6614,f6615,f6616,f6617,f6618,f6621,f6622,f6623,f6624,f6627,f6628,f612,f6912,f6913,f6914,f6915,f6916,f6917,f6920,f6921,f6922,f6923,f6926,f6927,f623,f7073,f626,f7275,f7274,f7273,f7380,f7456,f7457,f7458,f569,f618,f7774,f7775,f7776,f7777,f7778,f7779,f7780,f7781,f7782,f7783,f7784,f7785,f619,f7894,f7895,f7896,f7897,f7898,f7899,f7900,f7901,f7902,f7903,f7904,f7905,f6487,f7981,f7980,f7979,f6520,f7994,f7993,f7992,f615,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f1227,f8104,f1234,f8112,f1235,f8120,f1236,f8135,f616,f8145,f8146,f8147,f8148,f8149,f8150,f8151,f8152,f8153,f8154,f8155,f8156,f617,f8262,f8263,f8264,f8265,f8266,f8267,f8268,f8269,f8270,f8271,f8272,f8273,f8278,f2864,f2976,f833,f845,f8656,f3659,f8723,f8670,f8672,f8678,f8680,f8681,f8682,f8683,f8684,f8685,f8686,f8687,f8688,f8689,f8690,f8691,f8692,f8693,f8694,f8695,f8696,f8697,f8698,f8699,f8700,f8701,f8702,f8703,f8712,f8713,f8714,f8807,f8823,f8824,f8825,f8829,f8830,f8831,f8832,f8833,f8834,f8835,f8837,f8841,f8842,f8843,f8844,f8838]) ).

fof(f8838,plain,
    ( nil = app(sK19,sK19)
    | sK19 = tl(cons(sK24(app(sK19,sK19)),sK19))
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f986]) ).

fof(f8951,plain,
    ( hd(sK19) = hd(app(app(sK19,sK19),sK19))
    | spl69_1
    | spl69_81
    | ~ spl69_83 ),
    inference(global_subsumption,[],[f384,f381,f419,f634,f620,f621,f622,f625,f627,f630,f375,f376,f377,f378,f382,f386,f387,f388,f389,f390,f391,f392,f393,f394,f600,f601,f379,f380,f640,f643,f602,f607,f609,f635,f636,f637,f480,f491,f503,f515,f527,f538,f549,f385,f647,f395,f396,f397,f398,f450,f451,f452,f453,f454,f455,f474,f475,f476,f477,f484,f485,f486,f487,f488,f495,f496,f497,f498,f499,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f542,f543,f544,f545,f546,f638,f399,f400,f401,f402,f403,f404,f405,f471,f481,f492,f504,f516,f528,f529,f539,f540,f653,f654,f655,f656,f657,f658,f659,f660,f661,f438,f446,f456,f691,f692,f667,f668,f457,f718,f719,f694,f695,f468,f479,f490,f501,f502,f513,f514,f525,f526,f537,f548,f434,f442,f458,f722,f723,f459,f461,f462,f724,f725,f464,f466,f726,f727,f550,f552,f554,f556,f743,f744,f566,f745,f746,f383,f557,f757,f758,f760,f558,f633,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f797,f686,f798,f687,f799,f688,f800,f689,f801,f690,f802,f698,f796,f807,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f406,f709,f710,f711,f712,f808,f713,f809,f714,f810,f715,f811,f716,f812,f717,f813,f408,f412,f413,f414,f415,f416,f418,f431,f432,f435,f439,f440,f443,f846,f847,f465,f878,f849,f851,f886,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f880,f467,f919,f890,f892,f927,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f921,f469,f559,f930,f931,f933,f960,f961,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f934,f962,f963,f964,f965,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f935,f1002,f1003,f966,f560,f1006,f1007,f1009,f1036,f1037,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1010,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1057,f1061,f1062,f1011,f1064,f1065,f1066,f1082,f1084,f1085,f1083,f1087,f1088,f967,f968,f969,f574,f1106,f893,f1109,f852,f611,f1134,f562,f1150,f1151,f1152,f1153,f1154,f1155,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f563,f1157,f1158,f1159,f1160,f1161,f1162,f998,f999,f1000,f1001,f575,f1168,f1169,f1170,f1171,f1172,f1173,f578,f1204,f1205,f1206,f1207,f1208,f1209,f579,f1221,f1222,f1223,f1224,f1225,f1226,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f582,f1228,f1229,f1230,f1231,f1232,f1233,f1079,f1080,f1081,f437,f1238,f1241,f1242,f932,f1256,f1257,f1258,f1259,f1008,f1276,f1277,f1278,f1279,f987,f1298,f445,f1304,f1305,f1163,f1315,f1164,f1316,f1165,f1317,f1166,f1321,f460,f1370,f1335,f1337,f1375,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1371,f1376,f1377,f1382,f1383,f1386,f463,f1452,f1417,f1419,f1457,f1424,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,f1453,f1459,f1464,f1465,f1468,f585,f586,f407,f1619,f1615,f1623,f1625,f1627,f409,f1690,f410,f1733,f1742,f1739,f561,f1807,f1808,f1809,f1810,f1848,f1816,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1813,f1850,f1852,f1854,f1855,f1856,f1857,f1858,f1859,f1860,f1861,f1862,f1863,f1864,f1865,f1866,f1867,f1868,f1869,f1870,f1876,f1878,f1879,f1871,f1925,f1927,f1928,f570,f571,f572,f2167,f2266,f2302,f2339,f427,f448,f449,f567,f2547,f2554,f2555,f2556,f2594,f2562,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2577,f2578,f2579,f2580,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f576,f2608,f2609,f2626,f2627,f2628,f583,f2704,f2705,f592,f2810,f2811,f2828,f593,f2932,f2933,f2944,f2951,f420,f3005,f421,f3087,f422,f3143,f3148,f3150,f423,f3189,f3191,f2865,f3204,f3206,f3202,f2977,f424,f3235,f3237,f478,f596,f3358,f3359,f3360,f597,f598,f3501,f3502,f3504,f2607,f3512,f3519,f3521,f3527,f3529,f3530,f3531,f3532,f3533,f3534,f3535,f3536,f3537,f3538,f3539,f3540,f3541,f3542,f3543,f3544,f3545,f3546,f3547,f3548,f3549,f3550,f3551,f3552,f3554,f3555,f3556,f2610,f3579,f3586,f3588,f3629,f3594,f3596,f3597,f3598,f3599,f3600,f3601,f3602,f3603,f3604,f3605,f3606,f3607,f3608,f3609,f3610,f3611,f3612,f3613,f3614,f3615,f3616,f3617,f3618,f3619,f3621,f3622,f3623,f3591,f3643,f3644,f3646,f568,f3647,f3654,f3655,f3656,f3697,f3662,f3664,f3665,f3666,f3667,f3668,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3682,f3683,f3684,f3685,f3686,f3687,f3689,f3690,f3691,f3645,f594,f3877,f3945,f3950,f3966,f595,f4257,f4278,f632,f4424,f4426,f4428,f3872,f3893,f425,f4178,f4199,f447,f588,f4604,f4611,f4612,f4613,f4616,f4658,f4619,f4621,f4622,f4623,f4624,f4625,f4626,f4627,f4628,f4629,f4630,f4631,f4632,f4633,f4634,f4635,f4636,f4637,f4638,f4639,f4640,f4641,f4642,f4643,f4644,f4649,f4650,f4651,f591,f4674,f4681,f4682,f4683,f4686,f4728,f4689,f4691,f4692,f4693,f4694,f4695,f4696,f4697,f4698,f4699,f4700,f4701,f4702,f4703,f4704,f4705,f4706,f4707,f4708,f4709,f4710,f4711,f4712,f4713,f4714,f4719,f4720,f4721,f428,f429,f489,f2696,f5139,f5146,f5148,f5154,f5156,f5157,f5158,f5159,f5160,f5161,f5162,f5163,f5164,f5165,f5166,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f5175,f5176,f5177,f5178,f5179,f5188,f5189,f5190,f2697,f5231,f5238,f5240,f5246,f5248,f5249,f5250,f5251,f5252,f5253,f5254,f5255,f5256,f5257,f5258,f5259,f5260,f5261,f5262,f5263,f5264,f5265,f5266,f5267,f5268,f5269,f5270,f5271,f5280,f5281,f5282,f500,f512,f524,f536,f5616,f1260,f547,f5662,f1261,f1262,f1263,f2559,f5725,f5672,f5674,f5748,f5680,f5682,f5683,f5684,f5685,f5686,f5687,f5688,f5689,f5690,f5691,f5692,f5693,f5694,f5695,f5696,f5697,f5698,f5699,f5700,f5701,f5702,f5703,f5704,f5705,f5714,f5715,f5716,f5741,f5792,f5793,f5794,f5795,f564,f5818,f5819,f5828,f5829,f580,f5961,f5962,f5958,f984,f6026,f5973,f5975,f5981,f5983,f5984,f5985,f5986,f5987,f5988,f5989,f5990,f5991,f5992,f5993,f5994,f5995,f5996,f5997,f5998,f5999,f6000,f6001,f6002,f6003,f6004,f6005,f6006,f6015,f6016,f6017,f985,f6151,f6098,f6100,f6106,f6108,f6109,f6110,f6111,f6112,f6113,f6114,f6115,f6116,f6117,f6118,f6119,f6120,f6121,f6122,f6123,f6124,f6125,f6126,f6127,f6128,f6129,f6130,f6131,f6140,f6141,f6142,f589,f590,f986,f6313,f6260,f6262,f6268,f6270,f6271,f6272,f6273,f6274,f6275,f6276,f6277,f6278,f6279,f6280,f6281,f6282,f6283,f6284,f6285,f6286,f6287,f6288,f6289,f6290,f6291,f6292,f6293,f6302,f6303,f6304,f1067,f6387,f599,f6451,f6450,f6449,f6480,f1458,f631,f6610,f6611,f6612,f6613,f6614,f6615,f6616,f6617,f6618,f6621,f6622,f6623,f6624,f6627,f6628,f612,f6912,f6913,f6914,f6915,f6916,f6917,f6920,f6921,f6922,f6923,f6926,f6927,f623,f7073,f626,f7275,f7274,f7273,f7380,f7456,f7457,f7458,f569,f618,f7774,f7775,f7776,f7777,f7778,f7779,f7780,f7781,f7782,f7783,f7784,f7785,f619,f7894,f7895,f7896,f7897,f7898,f7899,f7900,f7901,f7902,f7903,f7904,f7905,f6487,f7981,f7980,f7979,f6520,f7994,f7993,f7992,f615,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f1227,f8104,f1234,f8112,f1235,f8120,f1236,f8135,f616,f8145,f8146,f8147,f8148,f8149,f8150,f8151,f8152,f8153,f8154,f8155,f8156,f617,f8262,f8263,f8264,f8265,f8266,f8267,f8268,f8269,f8270,f8271,f8272,f8273,f8278,f2864,f2976,f833,f845,f8656,f3659,f8723,f8670,f8672,f8749,f8678,f8680,f8681,f8682,f8683,f8684,f8685,f8686,f8687,f8688,f8689,f8690,f8691,f8692,f8693,f8694,f8695,f8696,f8697,f8698,f8699,f8700,f8701,f8702,f8703,f8712,f8713,f8714,f8742,f8801,f8803,f8804,f8799,f8819,f8821,f8807,f8823,f8824,f8825,f8851,f8853,f8855,f8829,f8830,f8831,f8832,f8833,f8834,f8835,f8837,f8838,f8841,f8842,f8843,f8844,f8864,f8949,f8860]) ).

fof(f8860,plain,
    ( hd(sK19) = hd(app(app(sK19,sK19),sK19))
    | nil = app(sK19,sK19)
    | spl69_1
    | ~ spl69_83 ),
    inference(forward_demodulation,[],[f8839,f5741]) ).

fof(f8839,plain,
    ( hd(app(sK19,sK19)) = hd(app(app(sK19,sK19),sK19))
    | nil = app(sK19,sK19)
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f2559]) ).

fof(f8949,plain,
    ( tl(app(app(sK19,sK19),sK19)) = app(app(tl(sK19),sK19),sK19)
    | spl69_1
    | spl69_81
    | ~ spl69_83 ),
    inference(global_subsumption,[],[f384,f381,f419,f634,f620,f621,f622,f625,f627,f630,f375,f376,f377,f378,f382,f386,f387,f388,f389,f390,f391,f392,f393,f394,f600,f601,f379,f380,f640,f643,f602,f607,f609,f635,f636,f637,f480,f491,f503,f515,f527,f538,f549,f385,f647,f395,f396,f397,f398,f450,f451,f452,f453,f454,f455,f474,f475,f476,f477,f484,f485,f486,f487,f488,f495,f496,f497,f498,f499,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f542,f543,f544,f545,f546,f638,f399,f400,f401,f402,f403,f404,f405,f471,f481,f492,f504,f516,f528,f529,f539,f540,f653,f654,f655,f656,f657,f658,f659,f660,f661,f438,f446,f456,f691,f692,f667,f668,f457,f718,f719,f694,f695,f468,f479,f490,f501,f502,f513,f514,f525,f526,f537,f548,f434,f442,f458,f722,f723,f459,f461,f462,f724,f725,f464,f466,f726,f727,f550,f552,f554,f556,f743,f744,f566,f745,f746,f383,f557,f757,f758,f760,f558,f633,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f797,f686,f798,f687,f799,f688,f800,f689,f801,f690,f802,f698,f796,f807,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f406,f709,f710,f711,f712,f808,f713,f809,f714,f810,f715,f811,f716,f812,f717,f813,f408,f412,f413,f414,f415,f416,f418,f431,f432,f435,f439,f440,f443,f846,f847,f465,f878,f849,f851,f886,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f880,f467,f919,f890,f892,f927,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f921,f469,f559,f930,f931,f933,f960,f961,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f934,f962,f963,f964,f965,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f935,f1002,f1003,f966,f560,f1006,f1007,f1009,f1036,f1037,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1010,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1057,f1061,f1062,f1011,f1064,f1065,f1066,f1082,f1084,f1085,f1083,f1087,f1088,f967,f968,f969,f574,f1106,f893,f1109,f852,f611,f1134,f562,f1150,f1151,f1152,f1153,f1154,f1155,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f563,f1157,f1158,f1159,f1160,f1161,f1162,f998,f999,f1000,f1001,f575,f1168,f1169,f1170,f1171,f1172,f1173,f578,f1204,f1205,f1206,f1207,f1208,f1209,f579,f1221,f1222,f1223,f1224,f1225,f1226,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1078,f582,f1228,f1229,f1230,f1231,f1232,f1233,f1079,f1080,f1081,f437,f1238,f1241,f1242,f932,f1256,f1257,f1258,f1259,f1008,f1276,f1277,f1278,f1279,f987,f1298,f445,f1304,f1305,f1163,f1315,f1164,f1316,f1165,f1317,f1166,f1321,f460,f1370,f1335,f1337,f1375,f1342,f1343,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1371,f1376,f1377,f1382,f1383,f1386,f463,f1452,f1417,f1419,f1457,f1424,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,f1453,f1459,f1464,f1465,f1468,f585,f586,f407,f1619,f1615,f1623,f1625,f1627,f409,f1690,f410,f1733,f1742,f1739,f561,f1807,f1808,f1809,f1810,f1848,f1816,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1844,f1813,f1850,f1852,f1854,f1855,f1856,f1857,f1858,f1859,f1860,f1861,f1862,f1863,f1864,f1865,f1866,f1867,f1868,f1869,f1870,f1876,f1878,f1879,f1871,f1925,f1927,f1928,f570,f571,f572,f2167,f2266,f2302,f2339,f427,f448,f449,f567,f2547,f2554,f2555,f2556,f2594,f2562,f2564,f2565,f2566,f2567,f2568,f2569,f2570,f2571,f2572,f2573,f2574,f2575,f2576,f2577,f2578,f2579,f2580,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f576,f2608,f2609,f2626,f2627,f2628,f583,f2704,f2705,f592,f2810,f2811,f2828,f593,f2932,f2933,f2944,f2951,f420,f3005,f421,f3087,f422,f3143,f3148,f3150,f423,f3189,f3191,f2865,f3204,f3206,f3202,f2977,f424,f3235,f3237,f478,f596,f3358,f3359,f3360,f597,f598,f3501,f3502,f3504,f2607,f3512,f3519,f3521,f3527,f3529,f3530,f3531,f3532,f3533,f3534,f3535,f3536,f3537,f3538,f3539,f3540,f3541,f3542,f3543,f3544,f3545,f3546,f3547,f3548,f3549,f3550,f3551,f3552,f3554,f3555,f3556,f2610,f3579,f3586,f3588,f3629,f3594,f3596,f3597,f3598,f3599,f3600,f3601,f3602,f3603,f3604,f3605,f3606,f3607,f3608,f3609,f3610,f3611,f3612,f3613,f3614,f3615,f3616,f3617,f3618,f3619,f3621,f3622,f3623,f3591,f3643,f3644,f3646,f568,f3647,f3654,f3655,f3656,f3697,f3662,f3664,f3665,f3666,f3667,f3668,f3669,f3670,f3671,f3672,f3673,f3674,f3675,f3676,f3677,f3678,f3679,f3680,f3681,f3682,f3683,f3684,f3685,f3686,f3687,f3689,f3690,f3691,f3645,f594,f3877,f3945,f3950,f3966,f595,f4257,f4278,f632,f4424,f4426,f4428,f3872,f3893,f425,f4178,f4199,f447,f588,f4604,f4611,f4612,f4613,f4616,f4658,f4619,f4621,f4622,f4623,f4624,f4625,f4626,f4627,f4628,f4629,f4630,f4631,f4632,f4633,f4634,f4635,f4636,f4637,f4638,f4639,f4640,f4641,f4642,f4643,f4644,f4649,f4650,f4651,f591,f4674,f4681,f4682,f4683,f4686,f4728,f4689,f4691,f4692,f4693,f4694,f4695,f4696,f4697,f4698,f4699,f4700,f4701,f4702,f4703,f4704,f4705,f4706,f4707,f4708,f4709,f4710,f4711,f4712,f4713,f4714,f4719,f4720,f4721,f428,f429,f489,f2696,f5139,f5146,f5148,f5154,f5156,f5157,f5158,f5159,f5160,f5161,f5162,f5163,f5164,f5165,f5166,f5167,f5168,f5169,f5170,f5171,f5172,f5173,f5174,f5175,f5176,f5177,f5178,f5179,f5188,f5189,f5190,f2697,f5231,f5238,f5240,f5246,f5248,f5249,f5250,f5251,f5252,f5253,f5254,f5255,f5256,f5257,f5258,f5259,f5260,f5261,f5262,f5263,f5264,f5265,f5266,f5267,f5268,f5269,f5270,f5271,f5280,f5281,f5282,f500,f512,f524,f536,f5616,f1260,f547,f5662,f1261,f1262,f1263,f2559,f5725,f5672,f5674,f5748,f5680,f5682,f5683,f5684,f5685,f5686,f5687,f5688,f5689,f5690,f5691,f5692,f5693,f5694,f5695,f5696,f5697,f5698,f5699,f5700,f5701,f5702,f5703,f5704,f5705,f5714,f5715,f5716,f5741,f5792,f5793,f5794,f5795,f564,f5818,f5819,f5828,f5829,f580,f5961,f5962,f5958,f984,f6026,f5973,f5975,f5981,f5983,f5984,f5985,f5986,f5987,f5988,f5989,f5990,f5991,f5992,f5993,f5994,f5995,f5996,f5997,f5998,f5999,f6000,f6001,f6002,f6003,f6004,f6005,f6006,f6015,f6016,f6017,f985,f6151,f6098,f6100,f6106,f6108,f6109,f6110,f6111,f6112,f6113,f6114,f6115,f6116,f6117,f6118,f6119,f6120,f6121,f6122,f6123,f6124,f6125,f6126,f6127,f6128,f6129,f6130,f6131,f6140,f6141,f6142,f589,f590,f986,f6313,f6260,f6262,f6268,f6270,f6271,f6272,f6273,f6274,f6275,f6276,f6277,f6278,f6279,f6280,f6281,f6282,f6283,f6284,f6285,f6286,f6287,f6288,f6289,f6290,f6291,f6292,f6293,f6302,f6303,f6304,f1067,f6387,f599,f6451,f6450,f6449,f6480,f1458,f631,f6610,f6611,f6612,f6613,f6614,f6615,f6616,f6617,f6618,f6621,f6622,f6623,f6624,f6627,f6628,f612,f6912,f6913,f6914,f6915,f6916,f6917,f6920,f6921,f6922,f6923,f6926,f6927,f623,f7073,f626,f7275,f7274,f7273,f7380,f7456,f7457,f7458,f569,f618,f7774,f7775,f7776,f7777,f7778,f7779,f7780,f7781,f7782,f7783,f7784,f7785,f619,f7894,f7895,f7896,f7897,f7898,f7899,f7900,f7901,f7902,f7903,f7904,f7905,f6487,f7981,f7980,f7979,f6520,f7994,f7993,f7992,f615,f8033,f8034,f8035,f8036,f8037,f8038,f8039,f8040,f8041,f8042,f8043,f8044,f1227,f8104,f1234,f8112,f1235,f8120,f1236,f8135,f616,f8145,f8146,f8147,f8148,f8149,f8150,f8151,f8152,f8153,f8154,f8155,f8156,f617,f8262,f8263,f8264,f8265,f8266,f8267,f8268,f8269,f8270,f8271,f8272,f8273,f8278,f2864,f2976,f833,f845,f8656,f3659,f8723,f8670,f8672,f8749,f8678,f8680,f8681,f8682,f8683,f8684,f8685,f8686,f8687,f8688,f8689,f8690,f8691,f8692,f8693,f8694,f8695,f8696,f8697,f8698,f8699,f8700,f8701,f8702,f8703,f8712,f8713,f8714,f8742,f8801,f8803,f8804,f8799,f8819,f8821,f8807,f8823,f8824,f8825,f8851,f8853,f8855,f8829,f8830,f8831,f8832,f8833,f8834,f8835,f8837,f8838,f8860,f8841,f8842,f8843,f8844,f8864]) ).

fof(f8864,plain,
    ( tl(app(app(sK19,sK19),sK19)) = app(app(tl(sK19),sK19),sK19)
    | nil = app(sK19,sK19)
    | spl69_1
    | ~ spl69_83 ),
    inference(forward_demodulation,[],[f8845,f8742]) ).

fof(f8845,plain,
    ( tl(app(app(sK19,sK19),sK19)) = app(tl(app(sK19,sK19)),sK19)
    | nil = app(sK19,sK19)
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f3659]) ).

fof(f8844,plain,
    ( app(sK19,sK19) = app(nil,sK66(app(sK19,sK19),nil))
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f2697]) ).

fof(f8843,plain,
    ( app(sK19,sK19) = app(app(sK19,sK19),sK66(app(sK19,sK19),app(sK19,sK19)))
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f2696]) ).

fof(f8842,plain,
    ( app(sK19,sK19) = app(sK63(app(sK19,sK19),nil),nil)
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f2610]) ).

fof(f8841,plain,
    ( app(sK19,sK19) = app(sK63(app(sK19,sK19),app(sK19,sK19)),app(sK19,sK19))
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f2607]) ).

fof(f8835,plain,
    ( ! [X0,X1] :
        ( app(app(X0,X1),app(sK19,sK19)) = app(X0,app(X1,app(sK19,sK19)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f591]) ).

fof(f8834,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | cons(X0,app(app(sK19,sK19),X1)) = app(cons(X0,app(sK19,sK19)),X1)
        | ~ ssList(X1) )
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f588]) ).

fof(f8833,plain,
    ( ! [X0] :
        ( nil = X0
        | tl(app(X0,app(sK19,sK19))) = app(tl(X0),app(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f568]) ).

fof(f8832,plain,
    ( ! [X0] :
        ( nil = X0
        | hd(X0) = hd(app(X0,app(sK19,sK19)))
        | ~ ssList(X0) )
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f567]) ).

fof(f8831,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,app(sK19,sK19)) = app(cons(X0,nil),app(sK19,sK19)) )
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f561]) ).

fof(f8830,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,app(sK19,sK19))) = X0 )
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f560]) ).

fof(f8829,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | app(sK19,sK19) = tl(cons(X0,app(sK19,sK19))) )
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f559]) ).

fof(f8825,plain,
    ( nil = app(sK19,sK19)
    | app(sK19,sK19) = cons(sK23(app(sK19,sK19)),sK22(app(sK19,sK19)))
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f460]) ).

fof(f8823,plain,
    ( app(sK19,sK19) = app(app(sK19,sK19),nil)
    | ~ spl69_83 ),
    inference(resolution,[],[f8807,f456]) ).

fof(f8821,plain,
    ( ! [X0] :
        ( hd(X0) != hd(sK19)
        | tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | nil = X0
        | nil = app(sK19,sK19)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | spl69_1 ),
    inference(forward_demodulation,[],[f8797,f5741]) ).

fof(f8797,plain,
    ( ! [X0] :
        ( tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | hd(X0) != hd(app(sK19,sK19))
        | nil = X0
        | nil = app(sK19,sK19)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | spl69_1 ),
    inference(superposition,[],[f569,f8742]) ).

fof(f8819,plain,
    ( ! [X0] :
        ( hd(X0) != hd(sK19)
        | tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | nil = app(sK19,sK19)
        | nil = X0
        | ~ ssList(X0)
        | ~ ssList(app(sK19,sK19)) )
    | spl69_1 ),
    inference(forward_demodulation,[],[f8798,f5741]) ).

fof(f8798,plain,
    ( ! [X0] :
        ( tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | hd(X0) != hd(app(sK19,sK19))
        | nil = app(sK19,sK19)
        | nil = X0
        | ~ ssList(X0)
        | ~ ssList(app(sK19,sK19)) )
    | spl69_1 ),
    inference(superposition,[],[f569,f8742]) ).

fof(f8799,plain,
    ( ssList(app(tl(sK19),sK19))
    | nil = app(sK19,sK19)
    | ~ ssList(app(sK19,sK19))
    | spl69_1 ),
    inference(superposition,[],[f462,f8742]) ).

fof(f8804,plain,
    ( ssList(app(tl(sK19),sK19))
    | ~ ssList(app(sK19,sK19))
    | spl69_1
    | spl69_81 ),
    inference(subsumption_resolution,[],[f8799,f8656]) ).

fof(f8803,plain,
    ( ! [X0] :
        ( hd(X0) != hd(sK19)
        | tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | nil = X0
        | ~ ssList(X0)
        | ~ ssList(app(sK19,sK19)) )
    | spl69_1
    | spl69_81 ),
    inference(forward_demodulation,[],[f8802,f5741]) ).

fof(f8802,plain,
    ( ! [X0] :
        ( tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | hd(X0) != hd(app(sK19,sK19))
        | nil = X0
        | ~ ssList(X0)
        | ~ ssList(app(sK19,sK19)) )
    | spl69_1
    | spl69_81 ),
    inference(subsumption_resolution,[],[f8798,f8656]) ).

fof(f8801,plain,
    ( ! [X0] :
        ( hd(X0) != hd(sK19)
        | tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | nil = X0
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | spl69_1
    | spl69_81 ),
    inference(forward_demodulation,[],[f8800,f5741]) ).

fof(f8800,plain,
    ( ! [X0] :
        ( tl(X0) != app(tl(sK19),sK19)
        | app(sK19,sK19) = X0
        | hd(X0) != hd(app(sK19,sK19))
        | nil = X0
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | spl69_1
    | spl69_81 ),
    inference(subsumption_resolution,[],[f8797,f8656]) ).

fof(f8742,plain,
    ( app(tl(sK19),sK19) = tl(app(sK19,sK19))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f8675,f647]) ).

fof(f8675,plain,
    ( app(tl(sK19),sK19) = tl(app(sK19,sK19))
    | nil = sK19 ),
    inference(resolution,[],[f3659,f376]) ).

fof(f8714,plain,
    ! [X0,X1] :
      ( tl(app(sK66(X0,X1),sK19)) = app(tl(sK66(X0,X1)),sK19)
      | nil = sK66(X0,X1)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3659,f582]) ).

fof(f8713,plain,
    ! [X0,X1] :
      ( tl(app(sK65(X0,X1),sK19)) = app(tl(sK65(X0,X1)),sK19)
      | nil = sK65(X0,X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3659,f579]) ).

fof(f8712,plain,
    ! [X0,X1] :
      ( tl(app(sK64(X0,X1),sK19)) = app(tl(sK64(X0,X1)),sK19)
      | nil = sK64(X0,X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3659,f578]) ).

fof(f8703,plain,
    ! [X0,X1] :
      ( tl(app(sK63(X0,X1),sK19)) = app(tl(sK63(X0,X1)),sK19)
      | nil = sK63(X0,X1)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3659,f575]) ).

fof(f8702,plain,
    ! [X0,X1] :
      ( tl(app(sK62(X0,X1),sK19)) = app(tl(sK62(X0,X1)),sK19)
      | nil = sK62(X0,X1)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3659,f563]) ).

fof(f8701,plain,
    ! [X0,X1] :
      ( tl(app(sK61(X0,X1),sK19)) = app(tl(sK61(X0,X1)),sK19)
      | nil = sK61(X0,X1)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3659,f562]) ).

fof(f8700,plain,
    ! [X0] :
      ( tl(app(sK60(X0),sK19)) = app(tl(sK60(X0)),sK19)
      | nil = sK60(X0)
      | sP16(X0) ),
    inference(resolution,[],[f3659,f546]) ).

fof(f8699,plain,
    ! [X0] :
      ( tl(app(sK59(X0),sK19)) = app(tl(sK59(X0)),sK19)
      | nil = sK59(X0)
      | sP16(X0) ),
    inference(resolution,[],[f3659,f545]) ).

fof(f8698,plain,
    ! [X0] :
      ( tl(app(sK58(X0),sK19)) = app(tl(sK58(X0)),sK19)
      | nil = sK58(X0)
      | sP16(X0) ),
    inference(resolution,[],[f3659,f544]) ).

fof(f8697,plain,
    ! [X0] :
      ( tl(app(sK55(X0),sK19)) = app(tl(sK55(X0)),sK19)
      | nil = sK55(X0)
      | sP14(X0) ),
    inference(resolution,[],[f3659,f535]) ).

fof(f8696,plain,
    ! [X0] :
      ( tl(app(sK54(X0),sK19)) = app(tl(sK54(X0)),sK19)
      | nil = sK54(X0)
      | sP14(X0) ),
    inference(resolution,[],[f3659,f534]) ).

fof(f8695,plain,
    ! [X0] :
      ( tl(app(sK53(X0),sK19)) = app(tl(sK53(X0)),sK19)
      | nil = sK53(X0)
      | sP14(X0) ),
    inference(resolution,[],[f3659,f533]) ).

fof(f8694,plain,
    ! [X0] :
      ( tl(app(sK50(X0),sK19)) = app(tl(sK50(X0)),sK19)
      | nil = sK50(X0)
      | sP12(X0) ),
    inference(resolution,[],[f3659,f523]) ).

fof(f8693,plain,
    ! [X0] :
      ( tl(app(sK49(X0),sK19)) = app(tl(sK49(X0)),sK19)
      | nil = sK49(X0)
      | sP12(X0) ),
    inference(resolution,[],[f3659,f522]) ).

fof(f8692,plain,
    ! [X0] :
      ( tl(app(sK48(X0),sK19)) = app(tl(sK48(X0)),sK19)
      | nil = sK48(X0)
      | sP12(X0) ),
    inference(resolution,[],[f3659,f521]) ).

fof(f8691,plain,
    ! [X0] :
      ( tl(app(sK45(X0),sK19)) = app(tl(sK45(X0)),sK19)
      | nil = sK45(X0)
      | sP10(X0) ),
    inference(resolution,[],[f3659,f511]) ).

fof(f8690,plain,
    ! [X0] :
      ( tl(app(sK44(X0),sK19)) = app(tl(sK44(X0)),sK19)
      | nil = sK44(X0)
      | sP10(X0) ),
    inference(resolution,[],[f3659,f510]) ).

fof(f8689,plain,
    ! [X0] :
      ( tl(app(sK43(X0),sK19)) = app(tl(sK43(X0)),sK19)
      | nil = sK43(X0)
      | sP10(X0) ),
    inference(resolution,[],[f3659,f509]) ).

fof(f8688,plain,
    ! [X0] :
      ( tl(app(sK40(X0),sK19)) = app(tl(sK40(X0)),sK19)
      | nil = sK40(X0)
      | sP8(X0) ),
    inference(resolution,[],[f3659,f499]) ).

fof(f8687,plain,
    ! [X0] :
      ( tl(app(sK39(X0),sK19)) = app(tl(sK39(X0)),sK19)
      | nil = sK39(X0)
      | sP8(X0) ),
    inference(resolution,[],[f3659,f498]) ).

fof(f8686,plain,
    ! [X0] :
      ( tl(app(sK38(X0),sK19)) = app(tl(sK38(X0)),sK19)
      | nil = sK38(X0)
      | sP8(X0) ),
    inference(resolution,[],[f3659,f497]) ).

fof(f8685,plain,
    ! [X0] :
      ( tl(app(sK35(X0),sK19)) = app(tl(sK35(X0)),sK19)
      | nil = sK35(X0)
      | sP6(X0) ),
    inference(resolution,[],[f3659,f488]) ).

fof(f8684,plain,
    ! [X0] :
      ( tl(app(sK34(X0),sK19)) = app(tl(sK34(X0)),sK19)
      | nil = sK34(X0)
      | sP6(X0) ),
    inference(resolution,[],[f3659,f487]) ).

fof(f8683,plain,
    ! [X0] :
      ( tl(app(sK33(X0),sK19)) = app(tl(sK33(X0)),sK19)
      | nil = sK33(X0)
      | sP6(X0) ),
    inference(resolution,[],[f3659,f486]) ).

fof(f8682,plain,
    ! [X0] :
      ( tl(app(sK30(X0),sK19)) = app(tl(sK30(X0)),sK19)
      | nil = sK30(X0)
      | sP4(X0) ),
    inference(resolution,[],[f3659,f477]) ).

fof(f8681,plain,
    ! [X0] :
      ( tl(app(sK29(X0),sK19)) = app(tl(sK29(X0)),sK19)
      | nil = sK29(X0)
      | sP4(X0) ),
    inference(resolution,[],[f3659,f476]) ).

fof(f8680,plain,
    ! [X0] :
      ( tl(app(sK25(X0),sK19)) = app(tl(sK25(X0)),sK19)
      | nil = sK25(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f3659,f466]) ).

fof(f8678,plain,
    ! [X0] :
      ( tl(app(sK22(X0),sK19)) = app(tl(sK22(X0)),sK19)
      | nil = sK22(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f3659,f458]) ).

fof(f8749,plain,
    ( app(tl(sK19),sK19) = tl(app(sK19,sK19))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f8748,f647]) ).

fof(f8748,plain,
    ( nil = sK19
    | app(tl(sK19),sK19) = tl(app(sK19,sK19)) ),
    inference(forward_demodulation,[],[f8747,f379]) ).

fof(f8747,plain,
    ( app(tl(sK19),sK19) = tl(app(sK19,sK19))
    | nil = sK21 ),
    inference(forward_demodulation,[],[f8677,f379]) ).

fof(f8677,plain,
    ( tl(app(sK21,sK19)) = app(tl(sK21),sK19)
    | nil = sK21 ),
    inference(resolution,[],[f3659,f378]) ).

fof(f8672,plain,
    ! [X0] :
      ( tl(app(tl(X0),sK19)) = app(tl(tl(X0)),sK19)
      | nil = tl(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f3659,f462]) ).

fof(f8670,plain,
    ! [X0,X1] :
      ( tl(app(app(X0,X1),sK19)) = app(tl(app(X0,X1)),sK19)
      | nil = app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f3659,f566]) ).

fof(f8723,plain,
    ! [X0,X1] :
      ( tl(app(cons(X0,X1),sK19)) = app(tl(cons(X0,X1)),sK19)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f8663,f557]) ).

fof(f8663,plain,
    ! [X0,X1] :
      ( tl(app(cons(X0,X1),sK19)) = app(tl(cons(X0,X1)),sK19)
      | nil = cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f3659,f556]) ).

fof(f3659,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(app(X0,sK19)) = app(tl(X0),sK19)
      | nil = X0 ),
    inference(resolution,[],[f568,f376]) ).

fof(f8656,plain,
    ( nil != app(sK19,sK19)
    | spl69_81 ),
    inference(avatar_component_clause,[],[f8655]) ).

fof(f845,plain,
    ! [X0] :
      ( ~ sP2(X0,hd(X0))
      | nil = X0
      | ~ ssItem(hd(X0)) ),
    inference(resolution,[],[f443,f396]) ).

fof(f833,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ lt(X0,X1) ),
    inference(duplicate_literal_removal,[],[f832]) ).

fof(f832,plain,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ gt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f414,f406]) ).

fof(f2976,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(X0,sK66(sK19,X0)) ),
    inference(subsumption_resolution,[],[f2971,f376]) ).

fof(f2971,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(X0,sK66(sK19,X0))
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f2968]) ).

fof(f2968,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(X0,sK66(sK19,X0))
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(resolution,[],[f2951,f583]) ).

fof(f2864,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(sK63(sK19,X0),X0) ),
    inference(subsumption_resolution,[],[f2861,f376]) ).

fof(f2861,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(sK63(sK19,X0),X0)
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f2858]) ).

fof(f2858,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = app(sK63(sK19,X0),X0)
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(resolution,[],[f2828,f576]) ).

fof(f8278,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))) = sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
    inference(resolution,[],[f617,f1739]) ).

fof(f8273,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f617,f1077]) ).

fof(f8272,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f617,f1076]) ).

fof(f8271,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK19 = tl(cons(sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f617,f997]) ).

fof(f8270,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK19 = tl(cons(sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f617,f996]) ).

fof(f8269,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK50(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f617,f711]) ).

fof(f8268,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK49(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f617,f710]) ).

fof(f8267,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK48(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f617,f709]) ).

fof(f8266,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f617,f684]) ).

fof(f8265,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f617,f683]) ).

fof(f8264,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f617,f682]) ).

fof(f8263,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | ~ cyclefreeP(app(app(X4,cons(X0,X3)),cons(X1,X2)))
      | ~ ssList(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
    inference(resolution,[],[f617,f657]) ).

fof(f8262,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X1,X0)
      | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ),
    inference(resolution,[],[f617,f524]) ).

fof(f617,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | ~ leq(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ leq(X7,X6) ),
    inference(equality_resolution,[],[f518]) ).

fof(f518,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,[],[f329]) ).

fof(f329,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])],[f323,f328,f327,f326,f325,f324]) ).

fof(f324,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(f325,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(f326,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(f327,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(f328,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(f323,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,[],[f322]) ).

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) ) )
      & ( ! [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,[],[f242]) ).

fof(f242,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(f8156,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f616,f1075]) ).

fof(f8155,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f616,f1074]) ).

fof(f8154,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK19 = tl(cons(sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f616,f995]) ).

fof(f8153,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK19 = tl(cons(sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f616,f994]) ).

fof(f8152,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK45(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f616,f708]) ).

fof(f8151,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK44(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f616,f707]) ).

fof(f8150,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK43(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f616,f706]) ).

fof(f8149,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f616,f681]) ).

fof(f8148,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f616,f680]) ).

fof(f8147,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f616,f679]) ).

fof(f8146,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | ~ strictorderP(app(app(X4,cons(X0,X3)),cons(X1,X2)))
      | ~ ssList(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
    inference(resolution,[],[f616,f656]) ).

fof(f8145,plain,
    ! [X2,X3,X0,X1,X4] :
      ( lt(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ),
    inference(resolution,[],[f616,f512]) ).

fof(f616,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | lt(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | lt(X7,X6) ),
    inference(equality_resolution,[],[f506]) ).

fof(f506,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,[],[f320]) ).

fof(f320,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])],[f314,f319,f318,f317,f316,f315]) ).

fof(f315,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(f316,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(f317,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(f318,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(f319,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(f314,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,[],[f313]) ).

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) ) )
      & ( ! [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,[],[f239]) ).

fof(f239,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(f8135,plain,
    ! [X0,X1] :
      ( sK57(cons(X0,X1)) = hd(cons(sK57(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1236,f439]) ).

fof(f1236,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK57(X0) = hd(cons(sK57(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1081,f661]) ).

fof(f8120,plain,
    ! [X0,X1] :
      ( sK56(cons(X0,X1)) = hd(cons(sK56(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1235,f439]) ).

fof(f1235,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK56(X0) = hd(cons(sK56(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1080,f661]) ).

fof(f8112,plain,
    ! [X0,X1] :
      ( sK52(cons(X0,X1)) = hd(cons(sK52(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1234,f431]) ).

fof(f1234,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK52(X0) = hd(cons(sK52(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1079,f659]) ).

fof(f8104,plain,
    ! [X0,X1] :
      ( sK51(cons(X0,X1)) = hd(cons(sK51(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1227,f431]) ).

fof(f1227,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK51(X0) = hd(cons(sK51(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1078,f659]) ).

fof(f8044,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK37(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK37(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f615,f1073]) ).

fof(f8043,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK36(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK36(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f615,f1072]) ).

fof(f8042,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK19 = tl(cons(sK37(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f615,f993]) ).

fof(f8041,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK19 = tl(cons(sK36(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
    inference(resolution,[],[f615,f992]) ).

fof(f8040,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK40(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f615,f705]) ).

fof(f8039,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK39(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f615,f704]) ).

fof(f8038,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK38(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
    inference(resolution,[],[f615,f703]) ).

fof(f8037,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f615,f678]) ).

fof(f8036,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f615,f677]) ).

fof(f8035,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
    inference(resolution,[],[f615,f676]) ).

fof(f8034,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | ~ totalorderP(app(app(X4,cons(X0,X3)),cons(X1,X2)))
      | ~ ssList(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
    inference(resolution,[],[f615,f655]) ).

fof(f8033,plain,
    ! [X2,X3,X0,X1,X4] :
      ( leq(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | leq(X1,X0)
      | app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK36(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK37(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ),
    inference(resolution,[],[f615,f500]) ).

fof(f615,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | leq(X6,X7)
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | leq(X7,X6) ),
    inference(equality_resolution,[],[f494]) ).

fof(f494,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,[],[f311]) ).

fof(f311,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])],[f305,f310,f309,f308,f307,f306]) ).

fof(f306,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(f307,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(f308,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(f309,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(f310,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(f305,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,[],[f304]) ).

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) ) )
      & ( ! [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,[],[f236]) ).

fof(f236,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(f7992,plain,
    ! [X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = X0
      | ~ segmentP(X0,app(sK19,X1))
      | ~ ssList(app(sK19,X1)) ),
    inference(duplicate_literal_removal,[],[f7989]) ).

fof(f7989,plain,
    ! [X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = X0
      | ~ segmentP(X0,app(sK19,X1))
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X0) ),
    inference(resolution,[],[f6520,f571]) ).

fof(f7993,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X2,X0)
      | ~ segmentP(X2,app(sK19,X1))
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f7988]) ).

fof(f7988,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X2,X0)
      | ~ segmentP(X2,app(sK19,X1))
      | ~ ssList(X0)
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X2) ),
    inference(resolution,[],[f6520,f597]) ).

fof(f7994,plain,
    ! [X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = app(app(sK64(app(sK19,X1),X0),X0),sK65(app(sK19,X1),X0))
      | ~ ssList(app(sK19,X1)) ),
    inference(duplicate_literal_removal,[],[f7987]) ).

fof(f7987,plain,
    ! [X0,X1] :
      ( ~ segmentP(sK19,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = app(app(sK64(app(sK19,X1),X0),X0),sK65(app(sK19,X1),X0))
      | ~ ssList(X0)
      | ~ ssList(app(sK19,X1)) ),
    inference(resolution,[],[f6520,f580]) ).

fof(f6520,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(sK19,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6519,f376]) ).

fof(f6519,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(sK19,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(sK19) ),
    inference(subsumption_resolution,[],[f6429,f394]) ).

fof(f6429,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(sK19,X1)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(sK19) ),
    inference(superposition,[],[f599,f695]) ).

fof(f7979,plain,
    ! [X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = X0
      | ~ segmentP(X0,app(sK19,X1))
      | ~ ssList(app(sK19,X1)) ),
    inference(duplicate_literal_removal,[],[f7976]) ).

fof(f7976,plain,
    ! [X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = X0
      | ~ segmentP(X0,app(sK19,X1))
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X0) ),
    inference(resolution,[],[f6487,f571]) ).

fof(f7980,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X2,X0)
      | ~ segmentP(X2,app(sK19,X1))
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f7975]) ).

fof(f7975,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X2,X0)
      | ~ segmentP(X2,app(sK19,X1))
      | ~ ssList(X0)
      | ~ ssList(app(sK19,X1))
      | ~ ssList(X2) ),
    inference(resolution,[],[f6487,f597]) ).

fof(f7981,plain,
    ! [X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = app(app(sK64(app(sK19,X1),X0),X0),sK65(app(sK19,X1),X0))
      | ~ ssList(app(sK19,X1)) ),
    inference(duplicate_literal_removal,[],[f7974]) ).

fof(f7974,plain,
    ! [X0,X1] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(sK19,X1) = app(app(sK64(app(sK19,X1),X0),X0),sK65(app(sK19,X1),X0))
      | ~ ssList(X0)
      | ~ ssList(app(sK19,X1)) ),
    inference(resolution,[],[f6487,f580]) ).

fof(f6487,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6486,f394]) ).

fof(f6486,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f6415,f376]) ).

fof(f6415,plain,
    ! [X0,X1] :
      ( segmentP(app(sK19,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(sK19)
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(superposition,[],[f599,f668]) ).

fof(f7905,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f619,f1081]) ).

fof(f7904,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f619,f1080]) ).

fof(f7903,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK19 = tl(cons(sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f619,f1001]) ).

fof(f7902,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK19 = tl(cons(sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f619,f1000]) ).

fof(f7901,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK60(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f619,f717]) ).

fof(f7900,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK59(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f619,f716]) ).

fof(f7899,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK58(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f619,f715]) ).

fof(f7898,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f619,f690]) ).

fof(f7897,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f619,f689]) ).

fof(f7896,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f619,f688]) ).

fof(f7895,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | ~ strictorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))
      | ~ ssList(app(app(X2,cons(X4,X1)),cons(X3,X0))) ),
    inference(resolution,[],[f619,f660]) ).

fof(f7894,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | lt(X4,X3)
      | app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))))) ),
    inference(resolution,[],[f619,f547]) ).

fof(f619,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | lt(X6,X7) ),
    inference(equality_resolution,[],[f541]) ).

fof(f541,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,[],[f347]) ).

fof(f347,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])],[f341,f346,f345,f344,f343,f342]) ).

fof(f342,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(f343,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(f344,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(f345,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(f346,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(f341,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,[],[f340]) ).

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) ) )
      & ( ! [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,[],[f248]) ).

fof(f248,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(f7785,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK52(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK52(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f618,f1079]) ).

fof(f7784,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK51(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK51(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f618,f1078]) ).

fof(f7783,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK19 = tl(cons(sK52(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f618,f999]) ).

fof(f7782,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK19 = tl(cons(sK51(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
    inference(resolution,[],[f618,f998]) ).

fof(f7781,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK55(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f618,f714]) ).

fof(f7780,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK54(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f618,f713]) ).

fof(f7779,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK53(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
    inference(resolution,[],[f618,f712]) ).

fof(f7778,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f618,f687]) ).

fof(f7777,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f618,f686]) ).

fof(f7776,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
    inference(resolution,[],[f618,f685]) ).

fof(f7775,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | ~ totalorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))
      | ~ ssList(app(app(X2,cons(X4,X1)),cons(X3,X0))) ),
    inference(resolution,[],[f618,f658]) ).

fof(f7774,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X4)
      | leq(X4,X3)
      | app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK51(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK52(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))))) ),
    inference(resolution,[],[f618,f536]) ).

fof(f618,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | leq(X6,X7) ),
    inference(equality_resolution,[],[f530]) ).

fof(f530,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,[],[f338]) ).

fof(f338,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])],[f332,f337,f336,f335,f334,f333]) ).

fof(f333,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(f334,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(f335,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(f336,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(f337,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(f332,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,[],[f331]) ).

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) ) )
      & ( ! [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,[],[f245]) ).

fof(f245,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(f569,plain,
    ! [X0,X1] :
      ( tl(X0) != tl(X1)
      | X0 = X1
      | hd(X0) != hd(X1)
      | nil = X0
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | tl(X0) != tl(X1)
          | hd(X0) != hd(X1)
          | nil = X0
          | nil = X1
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[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(ennf_transformation,[],[f77]) ).

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

fof(f7458,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | sK19 = app(sK19,X0)
      | ~ segmentP(sK19,app(sK19,X0)) ),
    inference(subsumption_resolution,[],[f7453,f376]) ).

fof(f7453,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | sK19 = app(sK19,X0)
      | ~ segmentP(sK19,app(sK19,X0))
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f7450]) ).

fof(f7450,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | sK19 = app(sK19,X0)
      | ~ segmentP(sK19,app(sK19,X0))
      | ~ ssList(app(sK19,X0))
      | ~ ssList(sK19) ),
    inference(resolution,[],[f7380,f571]) ).

fof(f7457,plain,
    ! [X0,X1] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | segmentP(X1,sK19)
      | ~ segmentP(X1,app(sK19,X0))
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f7454,f376]) ).

fof(f7454,plain,
    ! [X0,X1] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | segmentP(X1,sK19)
      | ~ segmentP(X1,app(sK19,X0))
      | ~ ssList(sK19)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f7449]) ).

fof(f7449,plain,
    ! [X0,X1] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | segmentP(X1,sK19)
      | ~ segmentP(X1,app(sK19,X0))
      | ~ ssList(sK19)
      | ~ ssList(app(sK19,X0))
      | ~ ssList(X1) ),
    inference(resolution,[],[f7380,f597]) ).

fof(f7456,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | app(sK19,X0) = app(app(sK64(app(sK19,X0),sK19),sK19),sK65(app(sK19,X0),sK19)) ),
    inference(subsumption_resolution,[],[f7455,f376]) ).

fof(f7455,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | app(sK19,X0) = app(app(sK64(app(sK19,X0),sK19),sK19),sK65(app(sK19,X0),sK19))
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f7448]) ).

fof(f7448,plain,
    ! [X0] :
      ( ~ ssList(app(sK19,X0))
      | ~ ssList(X0)
      | app(sK19,X0) = app(app(sK64(app(sK19,X0),sK19),sK19),sK65(app(sK19,X0),sK19))
      | ~ ssList(sK19)
      | ~ ssList(app(sK19,X0)) ),
    inference(resolution,[],[f7380,f580]) ).

fof(f7380,plain,
    ! [X0] :
      ( segmentP(app(sK19,X0),sK19)
      | ~ ssList(app(sK19,X0))
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f7379,f695]) ).

fof(f7379,plain,
    ! [X0] :
      ( segmentP(app(sK19,X0),sK19)
      | ~ ssList(X0)
      | ~ ssList(app(app(nil,sK19),X0)) ),
    inference(subsumption_resolution,[],[f7378,f376]) ).

fof(f7378,plain,
    ! [X0] :
      ( segmentP(app(sK19,X0),sK19)
      | ~ ssList(X0)
      | ~ ssList(sK19)
      | ~ ssList(app(app(nil,sK19),X0)) ),
    inference(subsumption_resolution,[],[f7253,f394]) ).

fof(f7253,plain,
    ! [X0] :
      ( segmentP(app(sK19,X0),sK19)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(sK19)
      | ~ ssList(app(app(nil,sK19),X0)) ),
    inference(superposition,[],[f626,f695]) ).

fof(f7273,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | app(app(X1,X2),X0) = X2
      | ~ segmentP(X2,app(app(X1,X2),X0)) ),
    inference(duplicate_literal_removal,[],[f7223]) ).

fof(f7223,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | app(app(X1,X2),X0) = X2
      | ~ segmentP(X2,app(app(X1,X2),X0))
      | ~ ssList(app(app(X1,X2),X0))
      | ~ ssList(X2) ),
    inference(resolution,[],[f626,f571]) ).

fof(f7274,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | segmentP(X3,X2)
      | ~ segmentP(X3,app(app(X1,X2),X0))
      | ~ ssList(X3) ),
    inference(duplicate_literal_removal,[],[f7222]) ).

fof(f7222,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | segmentP(X3,X2)
      | ~ segmentP(X3,app(app(X1,X2),X0))
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | ~ ssList(X3) ),
    inference(resolution,[],[f626,f597]) ).

fof(f7275,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | app(app(X1,X2),X0) = app(app(sK64(app(app(X1,X2),X0),X2),X2),sK65(app(app(X1,X2),X0),X2)) ),
    inference(duplicate_literal_removal,[],[f7221]) ).

fof(f7221,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0))
      | app(app(X1,X2),X0) = app(app(sK64(app(app(X1,X2),X0),X2),X2),sK65(app(app(X1,X2),X0),X2))
      | ~ ssList(X2)
      | ~ ssList(app(app(X1,X2),X0)) ),
    inference(resolution,[],[f626,f580]) ).

fof(f626,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,[],[f581]) ).

fof(f581,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,[],[f365]) ).

fof(f365,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])],[f362,f364,f363]) ).

fof(f363,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(f364,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(f362,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,[],[f361]) ).

fof(f361,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,[],[f201]) ).

fof(f201,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f7073,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(app(X1,cons(X2,X0)))
      | app(X1,cons(X2,X0)) = app(sK61(app(X1,cons(X2,X0)),X2),cons(X2,sK62(app(X1,cons(X2,X0)),X2))) ),
    inference(duplicate_literal_removal,[],[f7060]) ).

fof(f7060,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(app(X1,cons(X2,X0)))
      | app(X1,cons(X2,X0)) = app(sK61(app(X1,cons(X2,X0)),X2),cons(X2,sK62(app(X1,cons(X2,X0)),X2)))
      | ~ ssItem(X2)
      | ~ ssList(app(X1,cons(X2,X0))) ),
    inference(resolution,[],[f623,f564]) ).

fof(f623,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,[],[f565]) ).

fof(f565,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,[],[f355]) ).

fof(f355,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])],[f352,f354,f353]) ).

fof(f353,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(f354,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(f352,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,[],[f351]) ).

fof(f351,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,[],[f185]) ).

fof(f185,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(X2,cons(X1,X3)) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f3]) ).

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

fof(f6927,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | nil = tl(cons(sK28(app(X1,cons(X3,cons(X2,X0)))),nil)) ),
    inference(resolution,[],[f612,f1261]) ).

fof(f6926,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | nil = tl(cons(sK27(app(X1,cons(X3,cons(X2,X0)))),nil)) ),
    inference(resolution,[],[f612,f1260]) ).

fof(f6923,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK28(app(X1,cons(X3,cons(X2,X0)))) = hd(cons(sK28(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
    inference(resolution,[],[f612,f1069]) ).

fof(f6922,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK27(app(X1,cons(X3,cons(X2,X0)))) = hd(cons(sK27(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
    inference(resolution,[],[f612,f1068]) ).

fof(f6921,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK19 = tl(cons(sK28(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
    inference(resolution,[],[f612,f989]) ).

fof(f6920,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK19 = tl(cons(sK27(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
    inference(resolution,[],[f612,f988]) ).

fof(f6917,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK30(app(X1,cons(X3,cons(X2,X0)))) = app(nil,sK30(app(X1,cons(X3,cons(X2,X0))))) ),
    inference(resolution,[],[f612,f699]) ).

fof(f6916,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK29(app(X1,cons(X3,cons(X2,X0)))) = app(nil,sK29(app(X1,cons(X3,cons(X2,X0))))) ),
    inference(resolution,[],[f612,f698]) ).

fof(f6915,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK30(app(X1,cons(X3,cons(X2,X0)))) = app(sK30(app(X1,cons(X3,cons(X2,X0)))),nil) ),
    inference(resolution,[],[f612,f672]) ).

fof(f6914,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | sK29(app(X1,cons(X3,cons(X2,X0)))) = app(sK29(app(X1,cons(X3,cons(X2,X0)))),nil) ),
    inference(resolution,[],[f612,f671]) ).

fof(f6913,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | ~ equalelemsP(app(X1,cons(X3,cons(X2,X0))))
      | ~ ssList(app(X1,cons(X3,cons(X2,X0)))) ),
    inference(resolution,[],[f612,f653]) ).

fof(f6912,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | X2 = X3
      | app(X1,cons(X3,cons(X2,X0))) = app(sK29(app(X1,cons(X3,cons(X2,X0)))),cons(sK27(app(X1,cons(X3,cons(X2,X0)))),cons(sK28(app(X1,cons(X3,cons(X2,X0)))),sK30(app(X1,cons(X3,cons(X2,X0))))))) ),
    inference(resolution,[],[f612,f478]) ).

fof(f612,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,[],[f473]) ).

fof(f473,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,[],[f293]) ).

fof(f293,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])],[f288,f292,f291,f290,f289]) ).

fof(f289,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(f290,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(f291,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(f292,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(f288,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,[],[f287]) ).

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) ) )
      & ( ! [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,[],[f230]) ).

fof(f230,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(f6628,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | nil = tl(cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil)) ),
    inference(resolution,[],[f631,f1263]) ).

fof(f6627,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | nil = tl(cons(sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil)) ),
    inference(resolution,[],[f631,f1262]) ).

fof(f6624,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))) = hd(cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
    inference(resolution,[],[f631,f1071]) ).

fof(f6623,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))) = hd(cons(sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
    inference(resolution,[],[f631,f1070]) ).

fof(f6622,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK19 = tl(cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
    inference(resolution,[],[f631,f991]) ).

fof(f6621,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK19 = tl(cons(sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
    inference(resolution,[],[f631,f990]) ).

fof(f6618,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK35(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
    inference(resolution,[],[f631,f702]) ).

fof(f6617,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK34(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
    inference(resolution,[],[f631,f701]) ).

fof(f6616,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK33(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
    inference(resolution,[],[f631,f700]) ).

fof(f6615,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
    inference(resolution,[],[f631,f675]) ).

fof(f6614,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
    inference(resolution,[],[f631,f674]) ).

fof(f6613,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
    inference(resolution,[],[f631,f673]) ).

fof(f6612,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | ~ duplicatefreeP(app(app(X1,cons(X2,X0)),cons(X2,X3)))
      | ~ ssList(app(app(X1,cons(X2,X0)),cons(X2,X3))) ),
    inference(resolution,[],[f631,f654]) ).

fof(f6611,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))) = sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))) ),
    inference(resolution,[],[f631,f490]) ).

fof(f6610,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | app(app(X1,cons(X2,X0)),cons(X2,X3)) = app(app(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),cons(sK31(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))))),cons(sK32(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))))) ),
    inference(resolution,[],[f631,f489]) ).

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,[],[f614]) ).

fof(f614,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,[],[f613]) ).

fof(f613,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,[],[f483]) ).

fof(f483,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,[],[f302]) ).

fof(f302,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])],[f296,f301,f300,f299,f298,f297]) ).

fof(f297,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(f298,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(f299,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(f300,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(f301,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(f296,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,[],[f295]) ).

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) ) )
      & ( ! [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,[],[f233]) ).

fof(f1458,plain,
    ( ~ totalorderedP(sK19)
    | sP0(tl(sK19),hd(sK19))
    | ~ sP1(hd(sK19),tl(sK19))
    | spl69_1 ),
    inference(superposition,[],[f431,f1453]) ).

fof(f6480,plain,
    ! [X0,X1] :
      ( segmentP(app(nil,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6448,f394]) ).

fof(f6448,plain,
    ! [X0,X1] :
      ( segmentP(app(nil,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f6412]) ).

fof(f6412,plain,
    ! [X0,X1] :
      ( segmentP(app(nil,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(superposition,[],[f599,f638]) ).

fof(f6449,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(X3,X0),X2) = X1
      | ~ segmentP(X1,app(app(X3,X0),X2))
      | ~ ssList(app(app(X3,X0),X2)) ),
    inference(duplicate_literal_removal,[],[f6399]) ).

fof(f6399,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(X3,X0),X2) = X1
      | ~ segmentP(X1,app(app(X3,X0),X2))
      | ~ ssList(app(app(X3,X0),X2))
      | ~ ssList(X1) ),
    inference(resolution,[],[f599,f571]) ).

fof(f6450,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X4,X1)
      | ~ segmentP(X4,app(app(X3,X0),X2))
      | ~ ssList(app(app(X3,X0),X2))
      | ~ ssList(X4) ),
    inference(duplicate_literal_removal,[],[f6398]) ).

fof(f6398,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X4,X1)
      | ~ segmentP(X4,app(app(X3,X0),X2))
      | ~ ssList(X1)
      | ~ ssList(app(app(X3,X0),X2))
      | ~ ssList(X4) ),
    inference(resolution,[],[f599,f597]) ).

fof(f6451,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(X3,X0),X2) = app(app(sK64(app(app(X3,X0),X2),X1),X1),sK65(app(app(X3,X0),X2),X1))
      | ~ ssList(app(app(X3,X0),X2)) ),
    inference(duplicate_literal_removal,[],[f6397]) ).

fof(f6397,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(X3,X0),X2) = app(app(sK64(app(app(X3,X0),X2),X1),X1),sK65(app(app(X3,X0),X2),X1))
      | ~ ssList(X1)
      | ~ ssList(app(app(X3,X0),X2)) ),
    inference(resolution,[],[f599,f580]) ).

fof(f599,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,[],[f223]) ).

fof(f223,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,[],[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(ennf_transformation,[],[f56]) ).

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

fof(f6387,plain,
    ! [X0] :
      ( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK19))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f6386]) ).

fof(f6386,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,[],[f1067,f611]) ).

fof(f1067,plain,
    ! [X0] :
      ( ~ singletonP(X0)
      | sK26(X0) = hd(cons(sK26(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1011,f468]) ).

fof(f6304,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK19 = tl(cons(sK24(sK66(X0,X1)),sK19))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f986,f582]) ).

fof(f6303,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK19 = tl(cons(sK24(sK65(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f986,f579]) ).

fof(f6302,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK19 = tl(cons(sK24(sK64(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f986,f578]) ).

fof(f6293,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK19 = tl(cons(sK24(sK63(X0,X1)),sK19))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f986,f575]) ).

fof(f6292,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK19 = tl(cons(sK24(sK62(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f986,f563]) ).

fof(f6291,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK19 = tl(cons(sK24(sK61(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f986,f562]) ).

fof(f6290,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK19 = tl(cons(sK24(sK60(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f986,f546]) ).

fof(f6289,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK19 = tl(cons(sK24(sK59(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f986,f545]) ).

fof(f6288,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK19 = tl(cons(sK24(sK58(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f986,f544]) ).

fof(f6287,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK19 = tl(cons(sK24(sK55(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f986,f535]) ).

fof(f6286,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK19 = tl(cons(sK24(sK54(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f986,f534]) ).

fof(f6285,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK19 = tl(cons(sK24(sK53(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f986,f533]) ).

fof(f6284,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK19 = tl(cons(sK24(sK50(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f986,f523]) ).

fof(f6283,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK19 = tl(cons(sK24(sK49(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f986,f522]) ).

fof(f6282,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK19 = tl(cons(sK24(sK48(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f986,f521]) ).

fof(f6281,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK19 = tl(cons(sK24(sK45(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f986,f511]) ).

fof(f6280,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK19 = tl(cons(sK24(sK44(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f986,f510]) ).

fof(f6279,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK19 = tl(cons(sK24(sK43(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f986,f509]) ).

fof(f6278,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK19 = tl(cons(sK24(sK40(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f986,f499]) ).

fof(f6277,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK19 = tl(cons(sK24(sK39(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f986,f498]) ).

fof(f6276,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK19 = tl(cons(sK24(sK38(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f986,f497]) ).

fof(f6275,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK19 = tl(cons(sK24(sK35(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f986,f488]) ).

fof(f6274,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK19 = tl(cons(sK24(sK34(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f986,f487]) ).

fof(f6273,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK19 = tl(cons(sK24(sK33(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f986,f486]) ).

fof(f6272,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK19 = tl(cons(sK24(sK30(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f986,f477]) ).

fof(f6271,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK19 = tl(cons(sK24(sK29(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f986,f476]) ).

fof(f6270,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK19 = tl(cons(sK24(sK25(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f986,f466]) ).

fof(f6268,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK19 = tl(cons(sK24(sK22(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f986,f458]) ).

fof(f6262,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK19 = tl(cons(sK24(tl(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f986,f462]) ).

fof(f6260,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK19 = tl(cons(sK24(app(X0,X1)),sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f986,f566]) ).

fof(f6313,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK24(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6253,f557]) ).

fof(f6253,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | sK19 = tl(cons(sK24(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f986,f556]) ).

fof(f986,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK19 = tl(cons(sK24(X0),sK19)) ),
    inference(resolution,[],[f935,f464]) ).

fof(f590,plain,
    ! [X2,X3,X0,X1] :
      ( cons(X2,X0) != cons(X3,X1)
      | X0 = X1
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,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,[],[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(ennf_transformation,[],[f19]) ).

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

fof(f589,plain,
    ! [X2,X3,X0,X1] :
      ( cons(X2,X0) != cons(X3,X1)
      | X2 = X3
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f6142,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK19 = tl(cons(sK23(sK66(X0,X1)),sK19))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f985,f582]) ).

fof(f6141,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK19 = tl(cons(sK23(sK65(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f985,f579]) ).

fof(f6140,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK19 = tl(cons(sK23(sK64(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f985,f578]) ).

fof(f6131,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK19 = tl(cons(sK23(sK63(X0,X1)),sK19))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f985,f575]) ).

fof(f6130,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK19 = tl(cons(sK23(sK62(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f985,f563]) ).

fof(f6129,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK19 = tl(cons(sK23(sK61(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f985,f562]) ).

fof(f6128,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK19 = tl(cons(sK23(sK60(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f985,f546]) ).

fof(f6127,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK19 = tl(cons(sK23(sK59(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f985,f545]) ).

fof(f6126,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK19 = tl(cons(sK23(sK58(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f985,f544]) ).

fof(f6125,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK19 = tl(cons(sK23(sK55(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f985,f535]) ).

fof(f6124,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK19 = tl(cons(sK23(sK54(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f985,f534]) ).

fof(f6123,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK19 = tl(cons(sK23(sK53(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f985,f533]) ).

fof(f6122,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK19 = tl(cons(sK23(sK50(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f985,f523]) ).

fof(f6121,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK19 = tl(cons(sK23(sK49(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f985,f522]) ).

fof(f6120,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK19 = tl(cons(sK23(sK48(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f985,f521]) ).

fof(f6119,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK19 = tl(cons(sK23(sK45(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f985,f511]) ).

fof(f6118,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK19 = tl(cons(sK23(sK44(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f985,f510]) ).

fof(f6117,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK19 = tl(cons(sK23(sK43(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f985,f509]) ).

fof(f6116,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK19 = tl(cons(sK23(sK40(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f985,f499]) ).

fof(f6115,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK19 = tl(cons(sK23(sK39(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f985,f498]) ).

fof(f6114,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK19 = tl(cons(sK23(sK38(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f985,f497]) ).

fof(f6113,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK19 = tl(cons(sK23(sK35(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f985,f488]) ).

fof(f6112,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK19 = tl(cons(sK23(sK34(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f985,f487]) ).

fof(f6111,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK19 = tl(cons(sK23(sK33(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f985,f486]) ).

fof(f6110,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK19 = tl(cons(sK23(sK30(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f985,f477]) ).

fof(f6109,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK19 = tl(cons(sK23(sK29(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f985,f476]) ).

fof(f6108,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK19 = tl(cons(sK23(sK25(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f985,f466]) ).

fof(f6106,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK19 = tl(cons(sK23(sK22(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f985,f458]) ).

fof(f6100,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK19 = tl(cons(sK23(tl(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f985,f462]) ).

fof(f6098,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK19 = tl(cons(sK23(app(X0,X1)),sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f985,f566]) ).

fof(f6151,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK23(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6091,f557]) ).

fof(f6091,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | sK19 = tl(cons(sK23(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f985,f556]) ).

fof(f985,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK19 = tl(cons(sK23(X0),sK19)) ),
    inference(resolution,[],[f935,f459]) ).

fof(f6017,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK19 = tl(cons(hd(sK66(X0,X1)),sK19))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f984,f582]) ).

fof(f6016,plain,
    ! [X0,X1] :
      ( nil = sK65(X0,X1)
      | sK19 = tl(cons(hd(sK65(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f984,f579]) ).

fof(f6015,plain,
    ! [X0,X1] :
      ( nil = sK64(X0,X1)
      | sK19 = tl(cons(hd(sK64(X0,X1)),sK19))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f984,f578]) ).

fof(f6006,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK19 = tl(cons(hd(sK63(X0,X1)),sK19))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f984,f575]) ).

fof(f6005,plain,
    ! [X0,X1] :
      ( nil = sK62(X0,X1)
      | sK19 = tl(cons(hd(sK62(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f984,f563]) ).

fof(f6004,plain,
    ! [X0,X1] :
      ( nil = sK61(X0,X1)
      | sK19 = tl(cons(hd(sK61(X0,X1)),sK19))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f984,f562]) ).

fof(f6003,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK19 = tl(cons(hd(sK60(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f984,f546]) ).

fof(f6002,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK19 = tl(cons(hd(sK59(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f984,f545]) ).

fof(f6001,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK19 = tl(cons(hd(sK58(X0)),sK19))
      | sP16(X0) ),
    inference(resolution,[],[f984,f544]) ).

fof(f6000,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK19 = tl(cons(hd(sK55(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f984,f535]) ).

fof(f5999,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK19 = tl(cons(hd(sK54(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f984,f534]) ).

fof(f5998,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK19 = tl(cons(hd(sK53(X0)),sK19))
      | sP14(X0) ),
    inference(resolution,[],[f984,f533]) ).

fof(f5997,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK19 = tl(cons(hd(sK50(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f984,f523]) ).

fof(f5996,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK19 = tl(cons(hd(sK49(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f984,f522]) ).

fof(f5995,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK19 = tl(cons(hd(sK48(X0)),sK19))
      | sP12(X0) ),
    inference(resolution,[],[f984,f521]) ).

fof(f5994,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK19 = tl(cons(hd(sK45(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f984,f511]) ).

fof(f5993,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK19 = tl(cons(hd(sK44(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f984,f510]) ).

fof(f5992,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK19 = tl(cons(hd(sK43(X0)),sK19))
      | sP10(X0) ),
    inference(resolution,[],[f984,f509]) ).

fof(f5991,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK19 = tl(cons(hd(sK40(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f984,f499]) ).

fof(f5990,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK19 = tl(cons(hd(sK39(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f984,f498]) ).

fof(f5989,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK19 = tl(cons(hd(sK38(X0)),sK19))
      | sP8(X0) ),
    inference(resolution,[],[f984,f497]) ).

fof(f5988,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK19 = tl(cons(hd(sK35(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f984,f488]) ).

fof(f5987,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK19 = tl(cons(hd(sK34(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f984,f487]) ).

fof(f5986,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK19 = tl(cons(hd(sK33(X0)),sK19))
      | sP6(X0) ),
    inference(resolution,[],[f984,f486]) ).

fof(f5985,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK19 = tl(cons(hd(sK30(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f984,f477]) ).

fof(f5984,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK19 = tl(cons(hd(sK29(X0)),sK19))
      | sP4(X0) ),
    inference(resolution,[],[f984,f476]) ).

fof(f5983,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK19 = tl(cons(hd(sK25(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f984,f466]) ).

fof(f5981,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK19 = tl(cons(hd(sK22(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f984,f458]) ).

fof(f5975,plain,
    ! [X0] :
      ( nil = tl(X0)
      | sK19 = tl(cons(hd(tl(X0)),sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f984,f462]) ).

fof(f5973,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | sK19 = tl(cons(hd(app(X0,X1)),sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f984,f566]) ).

fof(f6026,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(hd(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f5966,f557]) ).

fof(f5966,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | sK19 = tl(cons(hd(cons(X0,X1)),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f984,f556]) ).

fof(f984,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK19 = tl(cons(hd(X0),sK19)) ),
    inference(resolution,[],[f935,f461]) ).

fof(f5958,plain,
    ! [X0] :
      ( app(app(sK64(X0,X0),X0),sK65(X0,X0)) = X0
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f5957]) ).

fof(f5957,plain,
    ! [X0] :
      ( app(app(sK64(X0,X0),X0),sK65(X0,X0)) = X0
      | ~ ssList(X0)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f580,f455]) ).

fof(f5962,plain,
    ! [X0] :
      ( app(app(sK64(X0,nil),nil),sK65(X0,nil)) = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f5959,f394]) ).

fof(f5959,plain,
    ! [X0] :
      ( app(app(sK64(X0,nil),nil),sK65(X0,nil)) = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f5956]) ).

fof(f5956,plain,
    ! [X0] :
      ( app(app(sK64(X0,nil),nil),sK65(X0,nil)) = X0
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f580,f451]) ).

fof(f5961,plain,
    nil = app(app(sK64(nil,nil),nil),sK65(nil,nil)),
    inference(subsumption_resolution,[],[f5960,f394]) ).

fof(f5960,plain,
    ( nil = app(app(sK64(nil,nil),nil),sK65(nil,nil))
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f5955]) ).

fof(f5955,plain,
    ( nil = app(app(sK64(nil,nil),nil),sK65(nil,nil))
    | ~ ssList(nil)
    | ~ ssList(nil) ),
    inference(resolution,[],[f580,f636]) ).

fof(f580,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f365]) ).

fof(f5829,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ memberP(X0,X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f5811,f566]) ).

fof(f5811,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(app(X0,X1))
      | ~ memberP(X0,X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f5810]) ).

fof(f5810,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(app(X0,X1))
      | ~ memberP(X0,X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f564,f448]) ).

fof(f5828,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f5812,f566]) ).

fof(f5812,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(app(X0,X1))
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f5809]) ).

fof(f5809,plain,
    ! [X2,X0,X1] :
      ( app(X0,X1) = app(sK61(app(X0,X1),X2),cons(X2,sK62(app(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(app(X0,X1))
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f564,f449]) ).

fof(f5819,plain,
    ! [X2,X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X2),cons(X2,sK62(cons(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f5816,f556]) ).

fof(f5816,plain,
    ! [X2,X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X2),cons(X2,sK62(cons(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(cons(X0,X1))
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f5803]) ).

fof(f5803,plain,
    ! [X2,X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X2),cons(X2,sK62(cons(X0,X1),X2)))
      | ~ ssItem(X2)
      | ~ ssList(cons(X0,X1))
      | ~ memberP(X1,X2)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f564,f427]) ).

fof(f5818,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X0),cons(X0,sK62(cons(X0,X1),X0)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f5817,f556]) ).

fof(f5817,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X0),cons(X0,sK62(cons(X0,X1),X0)))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,X1))
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f5802]) ).

fof(f5802,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(sK61(cons(X0,X1),X0),cons(X0,sK62(cons(X0,X1),X0)))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f564,f633]) ).

fof(f564,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f5795,plain,
    ( ! [X0] :
        ( leq(X0,hd(sK19))
        | nil = app(sK19,sK19)
        | ~ sP0(app(sK19,sK19),X0) )
    | spl69_1 ),
    inference(superposition,[],[f435,f5741]) ).

fof(f5794,plain,
    ( ! [X0] :
        ( lt(X0,hd(sK19))
        | nil = app(sK19,sK19)
        | ~ sP2(app(sK19,sK19),X0) )
    | spl69_1 ),
    inference(superposition,[],[f443,f5741]) ).

fof(f5793,plain,
    ( ! [X0] :
        ( ~ leq(X0,hd(sK19))
        | sP0(app(sK19,sK19),X0)
        | ~ totalorderedP(app(sK19,sK19))
        | nil = app(sK19,sK19) )
    | spl69_1 ),
    inference(superposition,[],[f437,f5741]) ).

fof(f5792,plain,
    ( ! [X0] :
        ( ~ lt(X0,hd(sK19))
        | sP2(app(sK19,sK19),X0)
        | ~ strictorderedP(app(sK19,sK19))
        | nil = app(sK19,sK19) )
    | spl69_1 ),
    inference(superposition,[],[f445,f5741]) ).

fof(f5741,plain,
    ( hd(sK19) = hd(app(sK19,sK19))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f5677,f647]) ).

fof(f5677,plain,
    ( hd(sK19) = hd(app(sK19,sK19))
    | nil = sK19 ),
    inference(resolution,[],[f2559,f376]) ).

fof(f5716,plain,
    ! [X0,X1] :
      ( hd(sK66(X0,X1)) = hd(app(sK66(X0,X1),sK19))
      | nil = sK66(X0,X1)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2559,f582]) ).

fof(f5715,plain,
    ! [X0,X1] :
      ( hd(sK65(X0,X1)) = hd(app(sK65(X0,X1),sK19))
      | nil = sK65(X0,X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2559,f579]) ).

fof(f5714,plain,
    ! [X0,X1] :
      ( hd(sK64(X0,X1)) = hd(app(sK64(X0,X1),sK19))
      | nil = sK64(X0,X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2559,f578]) ).

fof(f5705,plain,
    ! [X0,X1] :
      ( hd(sK63(X0,X1)) = hd(app(sK63(X0,X1),sK19))
      | nil = sK63(X0,X1)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2559,f575]) ).

fof(f5704,plain,
    ! [X0,X1] :
      ( hd(sK62(X0,X1)) = hd(app(sK62(X0,X1),sK19))
      | nil = sK62(X0,X1)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2559,f563]) ).

fof(f5703,plain,
    ! [X0,X1] :
      ( hd(sK61(X0,X1)) = hd(app(sK61(X0,X1),sK19))
      | nil = sK61(X0,X1)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2559,f562]) ).

fof(f5702,plain,
    ! [X0] :
      ( hd(sK60(X0)) = hd(app(sK60(X0),sK19))
      | nil = sK60(X0)
      | sP16(X0) ),
    inference(resolution,[],[f2559,f546]) ).

fof(f5701,plain,
    ! [X0] :
      ( hd(sK59(X0)) = hd(app(sK59(X0),sK19))
      | nil = sK59(X0)
      | sP16(X0) ),
    inference(resolution,[],[f2559,f545]) ).

fof(f5700,plain,
    ! [X0] :
      ( hd(sK58(X0)) = hd(app(sK58(X0),sK19))
      | nil = sK58(X0)
      | sP16(X0) ),
    inference(resolution,[],[f2559,f544]) ).

fof(f5699,plain,
    ! [X0] :
      ( hd(sK55(X0)) = hd(app(sK55(X0),sK19))
      | nil = sK55(X0)
      | sP14(X0) ),
    inference(resolution,[],[f2559,f535]) ).

fof(f5698,plain,
    ! [X0] :
      ( hd(sK54(X0)) = hd(app(sK54(X0),sK19))
      | nil = sK54(X0)
      | sP14(X0) ),
    inference(resolution,[],[f2559,f534]) ).

fof(f5697,plain,
    ! [X0] :
      ( hd(sK53(X0)) = hd(app(sK53(X0),sK19))
      | nil = sK53(X0)
      | sP14(X0) ),
    inference(resolution,[],[f2559,f533]) ).

fof(f5696,plain,
    ! [X0] :
      ( hd(sK50(X0)) = hd(app(sK50(X0),sK19))
      | nil = sK50(X0)
      | sP12(X0) ),
    inference(resolution,[],[f2559,f523]) ).

fof(f5695,plain,
    ! [X0] :
      ( hd(sK49(X0)) = hd(app(sK49(X0),sK19))
      | nil = sK49(X0)
      | sP12(X0) ),
    inference(resolution,[],[f2559,f522]) ).

fof(f5694,plain,
    ! [X0] :
      ( hd(sK48(X0)) = hd(app(sK48(X0),sK19))
      | nil = sK48(X0)
      | sP12(X0) ),
    inference(resolution,[],[f2559,f521]) ).

fof(f5693,plain,
    ! [X0] :
      ( hd(sK45(X0)) = hd(app(sK45(X0),sK19))
      | nil = sK45(X0)
      | sP10(X0) ),
    inference(resolution,[],[f2559,f511]) ).

fof(f5692,plain,
    ! [X0] :
      ( hd(sK44(X0)) = hd(app(sK44(X0),sK19))
      | nil = sK44(X0)
      | sP10(X0) ),
    inference(resolution,[],[f2559,f510]) ).

fof(f5691,plain,
    ! [X0] :
      ( hd(sK43(X0)) = hd(app(sK43(X0),sK19))
      | nil = sK43(X0)
      | sP10(X0) ),
    inference(resolution,[],[f2559,f509]) ).

fof(f5690,plain,
    ! [X0] :
      ( hd(sK40(X0)) = hd(app(sK40(X0),sK19))
      | nil = sK40(X0)
      | sP8(X0) ),
    inference(resolution,[],[f2559,f499]) ).

fof(f5689,plain,
    ! [X0] :
      ( hd(sK39(X0)) = hd(app(sK39(X0),sK19))
      | nil = sK39(X0)
      | sP8(X0) ),
    inference(resolution,[],[f2559,f498]) ).

fof(f5688,plain,
    ! [X0] :
      ( hd(sK38(X0)) = hd(app(sK38(X0),sK19))
      | nil = sK38(X0)
      | sP8(X0) ),
    inference(resolution,[],[f2559,f497]) ).

fof(f5687,plain,
    ! [X0] :
      ( hd(sK35(X0)) = hd(app(sK35(X0),sK19))
      | nil = sK35(X0)
      | sP6(X0) ),
    inference(resolution,[],[f2559,f488]) ).

fof(f5686,plain,
    ! [X0] :
      ( hd(sK34(X0)) = hd(app(sK34(X0),sK19))
      | nil = sK34(X0)
      | sP6(X0) ),
    inference(resolution,[],[f2559,f487]) ).

fof(f5685,plain,
    ! [X0] :
      ( hd(sK33(X0)) = hd(app(sK33(X0),sK19))
      | nil = sK33(X0)
      | sP6(X0) ),
    inference(resolution,[],[f2559,f486]) ).

fof(f5684,plain,
    ! [X0] :
      ( hd(sK30(X0)) = hd(app(sK30(X0),sK19))
      | nil = sK30(X0)
      | sP4(X0) ),
    inference(resolution,[],[f2559,f477]) ).

fof(f5683,plain,
    ! [X0] :
      ( hd(sK29(X0)) = hd(app(sK29(X0),sK19))
      | nil = sK29(X0)
      | sP4(X0) ),
    inference(resolution,[],[f2559,f476]) ).

fof(f5682,plain,
    ! [X0] :
      ( hd(sK25(X0)) = hd(app(sK25(X0),sK19))
      | nil = sK25(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2559,f466]) ).

fof(f5680,plain,
    ! [X0] :
      ( hd(sK22(X0)) = hd(app(sK22(X0),sK19))
      | nil = sK22(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2559,f458]) ).

fof(f5748,plain,
    ( hd(sK19) = hd(app(sK19,sK19))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f5747,f647]) ).

fof(f5747,plain,
    ( nil = sK19
    | hd(sK19) = hd(app(sK19,sK19)) ),
    inference(forward_demodulation,[],[f5746,f379]) ).

fof(f5746,plain,
    ( hd(sK19) = hd(app(sK19,sK19))
    | nil = sK21 ),
    inference(forward_demodulation,[],[f5679,f379]) ).

fof(f5679,plain,
    ( hd(sK21) = hd(app(sK21,sK19))
    | nil = sK21 ),
    inference(resolution,[],[f2559,f378]) ).

fof(f5674,plain,
    ! [X0] :
      ( hd(tl(X0)) = hd(app(tl(X0),sK19))
      | nil = tl(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2559,f462]) ).

fof(f5672,plain,
    ! [X0,X1] :
      ( hd(app(X0,X1)) = hd(app(app(X0,X1),sK19))
      | nil = app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2559,f566]) ).

fof(f5725,plain,
    ! [X0,X1] :
      ( hd(cons(X0,X1)) = hd(app(cons(X0,X1),sK19))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f5665,f557]) ).

fof(f5665,plain,
    ! [X0,X1] :
      ( hd(cons(X0,X1)) = hd(app(cons(X0,X1),sK19))
      | nil = cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f2559,f556]) ).

fof(f2559,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | hd(X0) = hd(app(X0,sK19))
      | nil = X0 ),
    inference(resolution,[],[f567,f376]) ).

fof(f1263,plain,
    ! [X0] :
      ( sP6(X0)
      | nil = tl(cons(sK32(X0),nil)) ),
    inference(resolution,[],[f932,f485]) ).

fof(f1262,plain,
    ! [X0] :
      ( sP6(X0)
      | nil = tl(cons(sK31(X0),nil)) ),
    inference(resolution,[],[f932,f484]) ).

fof(f1261,plain,
    ! [X0] :
      ( sP4(X0)
      | nil = tl(cons(sK28(X0),nil)) ),
    inference(resolution,[],[f932,f475]) ).

fof(f5662,plain,
    ! [X0] :
      ( app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f547,f661]) ).

fof(f547,plain,
    ! [X0] :
      ( sP16(X0)
      | app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0 ),
    inference(cnf_transformation,[],[f347]) ).

fof(f1260,plain,
    ! [X0] :
      ( sP4(X0)
      | nil = tl(cons(sK27(X0),nil)) ),
    inference(resolution,[],[f932,f474]) ).

fof(f5616,plain,
    ! [X0] :
      ( app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f536,f659]) ).

fof(f536,plain,
    ! [X0] :
      ( sP14(X0)
      | app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0 ),
    inference(cnf_transformation,[],[f338]) ).

fof(f524,plain,
    ! [X0] :
      ( sP12(X0)
      | app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0 ),
    inference(cnf_transformation,[],[f329]) ).

fof(f512,plain,
    ! [X0] :
      ( sP10(X0)
      | app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0 ),
    inference(cnf_transformation,[],[f320]) ).

fof(f500,plain,
    ! [X0] :
      ( sP8(X0)
      | app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0 ),
    inference(cnf_transformation,[],[f311]) ).

fof(f5282,plain,
    ! [X0,X1] :
      ( sK66(X0,X1) = app(nil,sK66(sK66(X0,X1),nil))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2697,f582]) ).

fof(f5281,plain,
    ! [X0,X1] :
      ( sK65(X0,X1) = app(nil,sK66(sK65(X0,X1),nil))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2697,f579]) ).

fof(f5280,plain,
    ! [X0,X1] :
      ( sK64(X0,X1) = app(nil,sK66(sK64(X0,X1),nil))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2697,f578]) ).

fof(f5271,plain,
    ! [X0,X1] :
      ( sK63(X0,X1) = app(nil,sK66(sK63(X0,X1),nil))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2697,f575]) ).

fof(f5270,plain,
    ! [X0,X1] :
      ( sK62(X0,X1) = app(nil,sK66(sK62(X0,X1),nil))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2697,f563]) ).

fof(f5269,plain,
    ! [X0,X1] :
      ( sK61(X0,X1) = app(nil,sK66(sK61(X0,X1),nil))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2697,f562]) ).

fof(f5268,plain,
    ! [X0] :
      ( sK60(X0) = app(nil,sK66(sK60(X0),nil))
      | sP16(X0) ),
    inference(resolution,[],[f2697,f546]) ).

fof(f5267,plain,
    ! [X0] :
      ( sK59(X0) = app(nil,sK66(sK59(X0),nil))
      | sP16(X0) ),
    inference(resolution,[],[f2697,f545]) ).

fof(f5266,plain,
    ! [X0] :
      ( sK58(X0) = app(nil,sK66(sK58(X0),nil))
      | sP16(X0) ),
    inference(resolution,[],[f2697,f544]) ).

fof(f5265,plain,
    ! [X0] :
      ( sK55(X0) = app(nil,sK66(sK55(X0),nil))
      | sP14(X0) ),
    inference(resolution,[],[f2697,f535]) ).

fof(f5264,plain,
    ! [X0] :
      ( sK54(X0) = app(nil,sK66(sK54(X0),nil))
      | sP14(X0) ),
    inference(resolution,[],[f2697,f534]) ).

fof(f5263,plain,
    ! [X0] :
      ( sK53(X0) = app(nil,sK66(sK53(X0),nil))
      | sP14(X0) ),
    inference(resolution,[],[f2697,f533]) ).

fof(f5262,plain,
    ! [X0] :
      ( sK50(X0) = app(nil,sK66(sK50(X0),nil))
      | sP12(X0) ),
    inference(resolution,[],[f2697,f523]) ).

fof(f5261,plain,
    ! [X0] :
      ( sK49(X0) = app(nil,sK66(sK49(X0),nil))
      | sP12(X0) ),
    inference(resolution,[],[f2697,f522]) ).

fof(f5260,plain,
    ! [X0] :
      ( sK48(X0) = app(nil,sK66(sK48(X0),nil))
      | sP12(X0) ),
    inference(resolution,[],[f2697,f521]) ).

fof(f5259,plain,
    ! [X0] :
      ( sK45(X0) = app(nil,sK66(sK45(X0),nil))
      | sP10(X0) ),
    inference(resolution,[],[f2697,f511]) ).

fof(f5258,plain,
    ! [X0] :
      ( sK44(X0) = app(nil,sK66(sK44(X0),nil))
      | sP10(X0) ),
    inference(resolution,[],[f2697,f510]) ).

fof(f5257,plain,
    ! [X0] :
      ( sK43(X0) = app(nil,sK66(sK43(X0),nil))
      | sP10(X0) ),
    inference(resolution,[],[f2697,f509]) ).

fof(f5256,plain,
    ! [X0] :
      ( sK40(X0) = app(nil,sK66(sK40(X0),nil))
      | sP8(X0) ),
    inference(resolution,[],[f2697,f499]) ).

fof(f5255,plain,
    ! [X0] :
      ( sK39(X0) = app(nil,sK66(sK39(X0),nil))
      | sP8(X0) ),
    inference(resolution,[],[f2697,f498]) ).

fof(f5254,plain,
    ! [X0] :
      ( sK38(X0) = app(nil,sK66(sK38(X0),nil))
      | sP8(X0) ),
    inference(resolution,[],[f2697,f497]) ).

fof(f5253,plain,
    ! [X0] :
      ( sK35(X0) = app(nil,sK66(sK35(X0),nil))
      | sP6(X0) ),
    inference(resolution,[],[f2697,f488]) ).

fof(f5252,plain,
    ! [X0] :
      ( sK34(X0) = app(nil,sK66(sK34(X0),nil))
      | sP6(X0) ),
    inference(resolution,[],[f2697,f487]) ).

fof(f5251,plain,
    ! [X0] :
      ( sK33(X0) = app(nil,sK66(sK33(X0),nil))
      | sP6(X0) ),
    inference(resolution,[],[f2697,f486]) ).

fof(f5250,plain,
    ! [X0] :
      ( sK30(X0) = app(nil,sK66(sK30(X0),nil))
      | sP4(X0) ),
    inference(resolution,[],[f2697,f477]) ).

fof(f5249,plain,
    ! [X0] :
      ( sK29(X0) = app(nil,sK66(sK29(X0),nil))
      | sP4(X0) ),
    inference(resolution,[],[f2697,f476]) ).

fof(f5248,plain,
    ! [X0] :
      ( sK25(X0) = app(nil,sK66(sK25(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2697,f466]) ).

fof(f5246,plain,
    ! [X0] :
      ( sK22(X0) = app(nil,sK66(sK22(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2697,f458]) ).

fof(f5240,plain,
    ! [X0] :
      ( tl(X0) = app(nil,sK66(tl(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2697,f462]) ).

fof(f5238,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(nil,sK66(app(X0,X1),nil))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2697,f566]) ).

fof(f5231,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(nil,sK66(cons(X0,X1),nil))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f2697,f556]) ).

fof(f2697,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,sK66(X0,nil)) = X0 ),
    inference(subsumption_resolution,[],[f2695,f394]) ).

fof(f2695,plain,
    ! [X0] :
      ( app(nil,sK66(X0,nil)) = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f2682]) ).

fof(f2682,plain,
    ! [X0] :
      ( app(nil,sK66(X0,nil)) = X0
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f583,f453]) ).

fof(f5190,plain,
    ! [X0,X1] :
      ( sK66(X0,X1) = app(sK66(X0,X1),sK66(sK66(X0,X1),sK66(X0,X1)))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2696,f582]) ).

fof(f5189,plain,
    ! [X0,X1] :
      ( sK65(X0,X1) = app(sK65(X0,X1),sK66(sK65(X0,X1),sK65(X0,X1)))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2696,f579]) ).

fof(f5188,plain,
    ! [X0,X1] :
      ( sK64(X0,X1) = app(sK64(X0,X1),sK66(sK64(X0,X1),sK64(X0,X1)))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2696,f578]) ).

fof(f5179,plain,
    ! [X0,X1] :
      ( sK63(X0,X1) = app(sK63(X0,X1),sK66(sK63(X0,X1),sK63(X0,X1)))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2696,f575]) ).

fof(f5178,plain,
    ! [X0,X1] :
      ( sK62(X0,X1) = app(sK62(X0,X1),sK66(sK62(X0,X1),sK62(X0,X1)))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2696,f563]) ).

fof(f5177,plain,
    ! [X0,X1] :
      ( sK61(X0,X1) = app(sK61(X0,X1),sK66(sK61(X0,X1),sK61(X0,X1)))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2696,f562]) ).

fof(f5176,plain,
    ! [X0] :
      ( sK60(X0) = app(sK60(X0),sK66(sK60(X0),sK60(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f2696,f546]) ).

fof(f5175,plain,
    ! [X0] :
      ( sK59(X0) = app(sK59(X0),sK66(sK59(X0),sK59(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f2696,f545]) ).

fof(f5174,plain,
    ! [X0] :
      ( sK58(X0) = app(sK58(X0),sK66(sK58(X0),sK58(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f2696,f544]) ).

fof(f5173,plain,
    ! [X0] :
      ( sK55(X0) = app(sK55(X0),sK66(sK55(X0),sK55(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f2696,f535]) ).

fof(f5172,plain,
    ! [X0] :
      ( sK54(X0) = app(sK54(X0),sK66(sK54(X0),sK54(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f2696,f534]) ).

fof(f5171,plain,
    ! [X0] :
      ( sK53(X0) = app(sK53(X0),sK66(sK53(X0),sK53(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f2696,f533]) ).

fof(f5170,plain,
    ! [X0] :
      ( sK50(X0) = app(sK50(X0),sK66(sK50(X0),sK50(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f2696,f523]) ).

fof(f5169,plain,
    ! [X0] :
      ( sK49(X0) = app(sK49(X0),sK66(sK49(X0),sK49(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f2696,f522]) ).

fof(f5168,plain,
    ! [X0] :
      ( sK48(X0) = app(sK48(X0),sK66(sK48(X0),sK48(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f2696,f521]) ).

fof(f5167,plain,
    ! [X0] :
      ( sK45(X0) = app(sK45(X0),sK66(sK45(X0),sK45(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f2696,f511]) ).

fof(f5166,plain,
    ! [X0] :
      ( sK44(X0) = app(sK44(X0),sK66(sK44(X0),sK44(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f2696,f510]) ).

fof(f5165,plain,
    ! [X0] :
      ( sK43(X0) = app(sK43(X0),sK66(sK43(X0),sK43(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f2696,f509]) ).

fof(f5164,plain,
    ! [X0] :
      ( sK40(X0) = app(sK40(X0),sK66(sK40(X0),sK40(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f2696,f499]) ).

fof(f5163,plain,
    ! [X0] :
      ( sK39(X0) = app(sK39(X0),sK66(sK39(X0),sK39(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f2696,f498]) ).

fof(f5162,plain,
    ! [X0] :
      ( sK38(X0) = app(sK38(X0),sK66(sK38(X0),sK38(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f2696,f497]) ).

fof(f5161,plain,
    ! [X0] :
      ( sK35(X0) = app(sK35(X0),sK66(sK35(X0),sK35(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f2696,f488]) ).

fof(f5160,plain,
    ! [X0] :
      ( sK34(X0) = app(sK34(X0),sK66(sK34(X0),sK34(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f2696,f487]) ).

fof(f5159,plain,
    ! [X0] :
      ( sK33(X0) = app(sK33(X0),sK66(sK33(X0),sK33(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f2696,f486]) ).

fof(f5158,plain,
    ! [X0] :
      ( sK30(X0) = app(sK30(X0),sK66(sK30(X0),sK30(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f2696,f477]) ).

fof(f5157,plain,
    ! [X0] :
      ( sK29(X0) = app(sK29(X0),sK66(sK29(X0),sK29(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f2696,f476]) ).

fof(f5156,plain,
    ! [X0] :
      ( sK25(X0) = app(sK25(X0),sK66(sK25(X0),sK25(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2696,f466]) ).

fof(f5154,plain,
    ! [X0] :
      ( sK22(X0) = app(sK22(X0),sK66(sK22(X0),sK22(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2696,f458]) ).

fof(f5148,plain,
    ! [X0] :
      ( tl(X0) = app(tl(X0),sK66(tl(X0),tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2696,f462]) ).

fof(f5146,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(app(X0,X1),sK66(app(X0,X1),app(X0,X1)))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2696,f566]) ).

fof(f5139,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,X1),sK66(cons(X0,X1),cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f2696,f556]) ).

fof(f2696,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,sK66(X0,X0)) = X0 ),
    inference(duplicate_literal_removal,[],[f2681]) ).

fof(f2681,plain,
    ! [X0] :
      ( app(X0,sK66(X0,X0)) = X0
      | ~ ssList(X0)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f583,f452]) ).

fof(f489,plain,
    ! [X0] :
      ( sP6(X0)
      | app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0 ),
    inference(cnf_transformation,[],[f302]) ).

fof(f429,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,[],[f264]) ).

fof(f264,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,[],[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(nnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                  <=> ( frontsegP(X2,X3)
                      & X0 = X1 ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f44]) ).

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

fof(f428,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,[],[f264]) ).

fof(f4721,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK66(X2,X3)) = app(X0,app(X1,sK66(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f591,f582]) ).

fof(f4720,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK65(X2,X3)) = app(X0,app(X1,sK65(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f591,f579]) ).

fof(f4719,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK64(X2,X3)) = app(X0,app(X1,sK64(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f591,f578]) ).

fof(f4714,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK63(X2,X3)) = app(X0,app(X1,sK63(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ rearsegP(X2,X3)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f591,f575]) ).

fof(f4713,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK62(X2,X3)) = app(X0,app(X1,sK62(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ memberP(X2,X3)
      | ~ ssItem(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f591,f563]) ).

fof(f4712,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),sK61(X2,X3)) = app(X0,app(X1,sK61(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ memberP(X2,X3)
      | ~ ssItem(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f591,f562]) ).

fof(f4711,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK60(X2)) = app(X0,app(X1,sK60(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP16(X2) ),
    inference(resolution,[],[f591,f546]) ).

fof(f4710,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK59(X2)) = app(X0,app(X1,sK59(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP16(X2) ),
    inference(resolution,[],[f591,f545]) ).

fof(f4709,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK58(X2)) = app(X0,app(X1,sK58(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP16(X2) ),
    inference(resolution,[],[f591,f544]) ).

fof(f4708,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK55(X2)) = app(X0,app(X1,sK55(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP14(X2) ),
    inference(resolution,[],[f591,f535]) ).

fof(f4707,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK54(X2)) = app(X0,app(X1,sK54(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP14(X2) ),
    inference(resolution,[],[f591,f534]) ).

fof(f4706,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK53(X2)) = app(X0,app(X1,sK53(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP14(X2) ),
    inference(resolution,[],[f591,f533]) ).

fof(f4705,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK50(X2)) = app(X0,app(X1,sK50(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP12(X2) ),
    inference(resolution,[],[f591,f523]) ).

fof(f4704,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK49(X2)) = app(X0,app(X1,sK49(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP12(X2) ),
    inference(resolution,[],[f591,f522]) ).

fof(f4703,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK48(X2)) = app(X0,app(X1,sK48(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP12(X2) ),
    inference(resolution,[],[f591,f521]) ).

fof(f4702,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK45(X2)) = app(X0,app(X1,sK45(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP10(X2) ),
    inference(resolution,[],[f591,f511]) ).

fof(f4701,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK44(X2)) = app(X0,app(X1,sK44(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP10(X2) ),
    inference(resolution,[],[f591,f510]) ).

fof(f4700,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK43(X2)) = app(X0,app(X1,sK43(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP10(X2) ),
    inference(resolution,[],[f591,f509]) ).

fof(f4699,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK40(X2)) = app(X0,app(X1,sK40(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP8(X2) ),
    inference(resolution,[],[f591,f499]) ).

fof(f4698,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK39(X2)) = app(X0,app(X1,sK39(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP8(X2) ),
    inference(resolution,[],[f591,f498]) ).

fof(f4697,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK38(X2)) = app(X0,app(X1,sK38(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP8(X2) ),
    inference(resolution,[],[f591,f497]) ).

fof(f4696,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK35(X2)) = app(X0,app(X1,sK35(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP6(X2) ),
    inference(resolution,[],[f591,f488]) ).

fof(f4695,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK34(X2)) = app(X0,app(X1,sK34(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP6(X2) ),
    inference(resolution,[],[f591,f487]) ).

fof(f4694,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK33(X2)) = app(X0,app(X1,sK33(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP6(X2) ),
    inference(resolution,[],[f591,f486]) ).

fof(f4693,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK30(X2)) = app(X0,app(X1,sK30(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP4(X2) ),
    inference(resolution,[],[f591,f477]) ).

fof(f4692,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK29(X2)) = app(X0,app(X1,sK29(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sP4(X2) ),
    inference(resolution,[],[f591,f476]) ).

fof(f4691,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK25(X2)) = app(X0,app(X1,sK25(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X2
      | ~ ssList(X2) ),
    inference(resolution,[],[f591,f466]) ).

fof(f4689,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),sK22(X2)) = app(X0,app(X1,sK22(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X2
      | ~ ssList(X2) ),
    inference(resolution,[],[f591,f458]) ).

fof(f4728,plain,
    ! [X0,X1] :
      ( app(app(X0,X1),sK19) = app(X0,app(X1,sK19))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f4688,f379]) ).

fof(f4688,plain,
    ! [X0,X1] :
      ( app(app(X0,X1),sK21) = app(X0,app(X1,sK21))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f591,f378]) ).

fof(f4686,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | app(app(X0,X1),sK19) = app(X0,app(X1,sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f591,f376]) ).

fof(f4683,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),tl(X2)) = app(X0,app(X1,tl(X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X2
      | ~ ssList(X2) ),
    inference(resolution,[],[f591,f462]) ).

fof(f4682,plain,
    ! [X0,X1] :
      ( app(app(X0,X1),nil) = app(X0,app(X1,nil))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f591,f394]) ).

fof(f4681,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),app(X2,X3)) = app(X0,app(X1,app(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(resolution,[],[f591,f566]) ).

fof(f4674,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),cons(X2,X3)) = app(X0,app(X1,cons(X2,X3)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | ~ ssList(X3) ),
    inference(resolution,[],[f591,f556]) ).

fof(f591,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | app(app(X0,X1),X2) = app(X0,app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f82]) ).

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

fof(f4651,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK66(X1,X2),X3)) = app(cons(X0,sK66(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ frontsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f582]) ).

fof(f4650,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK65(X1,X2),X3)) = app(cons(X0,sK65(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f579]) ).

fof(f4649,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK64(X1,X2),X3)) = app(cons(X0,sK64(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f578]) ).

fof(f4644,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK63(X1,X2),X3)) = app(cons(X0,sK63(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ rearsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f575]) ).

fof(f4643,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK62(X1,X2),X3)) = app(cons(X0,sK62(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f563]) ).

fof(f4642,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK61(X1,X2),X3)) = app(cons(X0,sK61(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f562]) ).

fof(f4641,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK60(X1),X2)) = app(cons(X0,sK60(X1)),X2)
      | ~ ssList(X2)
      | sP16(X1) ),
    inference(resolution,[],[f588,f546]) ).

fof(f4640,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK59(X1),X2)) = app(cons(X0,sK59(X1)),X2)
      | ~ ssList(X2)
      | sP16(X1) ),
    inference(resolution,[],[f588,f545]) ).

fof(f4639,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK58(X1),X2)) = app(cons(X0,sK58(X1)),X2)
      | ~ ssList(X2)
      | sP16(X1) ),
    inference(resolution,[],[f588,f544]) ).

fof(f4638,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK55(X1),X2)) = app(cons(X0,sK55(X1)),X2)
      | ~ ssList(X2)
      | sP14(X1) ),
    inference(resolution,[],[f588,f535]) ).

fof(f4637,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK54(X1),X2)) = app(cons(X0,sK54(X1)),X2)
      | ~ ssList(X2)
      | sP14(X1) ),
    inference(resolution,[],[f588,f534]) ).

fof(f4636,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK53(X1),X2)) = app(cons(X0,sK53(X1)),X2)
      | ~ ssList(X2)
      | sP14(X1) ),
    inference(resolution,[],[f588,f533]) ).

fof(f4635,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK50(X1),X2)) = app(cons(X0,sK50(X1)),X2)
      | ~ ssList(X2)
      | sP12(X1) ),
    inference(resolution,[],[f588,f523]) ).

fof(f4634,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK49(X1),X2)) = app(cons(X0,sK49(X1)),X2)
      | ~ ssList(X2)
      | sP12(X1) ),
    inference(resolution,[],[f588,f522]) ).

fof(f4633,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK48(X1),X2)) = app(cons(X0,sK48(X1)),X2)
      | ~ ssList(X2)
      | sP12(X1) ),
    inference(resolution,[],[f588,f521]) ).

fof(f4632,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK45(X1),X2)) = app(cons(X0,sK45(X1)),X2)
      | ~ ssList(X2)
      | sP10(X1) ),
    inference(resolution,[],[f588,f511]) ).

fof(f4631,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK44(X1),X2)) = app(cons(X0,sK44(X1)),X2)
      | ~ ssList(X2)
      | sP10(X1) ),
    inference(resolution,[],[f588,f510]) ).

fof(f4630,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK43(X1),X2)) = app(cons(X0,sK43(X1)),X2)
      | ~ ssList(X2)
      | sP10(X1) ),
    inference(resolution,[],[f588,f509]) ).

fof(f4629,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK40(X1),X2)) = app(cons(X0,sK40(X1)),X2)
      | ~ ssList(X2)
      | sP8(X1) ),
    inference(resolution,[],[f588,f499]) ).

fof(f4628,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK39(X1),X2)) = app(cons(X0,sK39(X1)),X2)
      | ~ ssList(X2)
      | sP8(X1) ),
    inference(resolution,[],[f588,f498]) ).

fof(f4627,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK38(X1),X2)) = app(cons(X0,sK38(X1)),X2)
      | ~ ssList(X2)
      | sP8(X1) ),
    inference(resolution,[],[f588,f497]) ).

fof(f4626,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK35(X1),X2)) = app(cons(X0,sK35(X1)),X2)
      | ~ ssList(X2)
      | sP6(X1) ),
    inference(resolution,[],[f588,f488]) ).

fof(f4625,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK34(X1),X2)) = app(cons(X0,sK34(X1)),X2)
      | ~ ssList(X2)
      | sP6(X1) ),
    inference(resolution,[],[f588,f487]) ).

fof(f4624,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK33(X1),X2)) = app(cons(X0,sK33(X1)),X2)
      | ~ ssList(X2)
      | sP6(X1) ),
    inference(resolution,[],[f588,f486]) ).

fof(f4623,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK30(X1),X2)) = app(cons(X0,sK30(X1)),X2)
      | ~ ssList(X2)
      | sP4(X1) ),
    inference(resolution,[],[f588,f477]) ).

fof(f4622,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK29(X1),X2)) = app(cons(X0,sK29(X1)),X2)
      | ~ ssList(X2)
      | sP4(X1) ),
    inference(resolution,[],[f588,f476]) ).

fof(f4621,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK25(X1),X2)) = app(cons(X0,sK25(X1)),X2)
      | ~ ssList(X2)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f466]) ).

fof(f4619,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK22(X1),X2)) = app(cons(X0,sK22(X1)),X2)
      | ~ ssList(X2)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f458]) ).

fof(f4658,plain,
    ! [X0,X1] :
      ( cons(X0,app(sK19,X1)) = app(cons(X0,sK19),X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(forward_demodulation,[],[f4618,f379]) ).

fof(f4618,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(sK21,X1)) = app(cons(X0,sK21),X1)
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f378]) ).

fof(f4616,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | cons(X0,app(sK19,X1)) = app(cons(X0,sK19),X1)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f588,f376]) ).

fof(f4613,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(tl(X1),X2)) = app(cons(X0,tl(X1)),X2)
      | ~ ssList(X2)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f462]) ).

fof(f4612,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | app(cons(X0,nil),X1) = cons(X0,app(nil,X1))
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f394]) ).

fof(f4611,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(app(X1,X2),X3)) = app(cons(X0,app(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f588,f566]) ).

fof(f4604,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(cons(X1,X2),X3)) = app(cons(X0,cons(X1,X2)),X3)
      | ~ ssList(X3)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f588,f556]) ).

fof(f588,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X2)
      | cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f447,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X1,X2),X0)
      | memberP(X1,X0)
      | memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f274,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,[],[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(nnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

fof(f4199,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4198,f394]) ).

fof(f4198,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4096,f376]) ).

fof(f4096,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(sK19)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f595,f695]) ).

fof(f4178,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4177,f376]) ).

fof(f4177,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4087,f394]) ).

fof(f4087,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(nil)
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(superposition,[],[f595,f668]) ).

fof(f425,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X1,X2),X0)
      | X0 = X1
      | memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f262,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,[],[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(nnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(f3893,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3892,f376]) ).

fof(f3892,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3791,f394]) ).

fof(f3791,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(nil)
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(superposition,[],[f594,f695]) ).

fof(f3872,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3871,f394]) ).

fof(f3871,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3782,f376]) ).

fof(f3782,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(sK19)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f594,f668]) ).

fof(f4428,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = cons(X2,X1)
      | ~ frontsegP(cons(X2,X1),cons(X2,X0)) ),
    inference(subsumption_resolution,[],[f4427,f556]) ).

fof(f4427,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = cons(X2,X1)
      | ~ frontsegP(cons(X2,X1),cons(X2,X0))
      | ~ ssList(cons(X2,X1)) ),
    inference(subsumption_resolution,[],[f4416,f556]) ).

fof(f4416,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = cons(X2,X1)
      | ~ frontsegP(cons(X2,X1),cons(X2,X0))
      | ~ ssList(cons(X2,X0))
      | ~ ssList(cons(X2,X1)) ),
    inference(resolution,[],[f632,f572]) ).

fof(f4426,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = app(cons(X2,X1),sK66(cons(X2,X0),cons(X2,X1))) ),
    inference(subsumption_resolution,[],[f4425,f556]) ).

fof(f4425,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = app(cons(X2,X1),sK66(cons(X2,X0),cons(X2,X1)))
      | ~ ssList(cons(X2,X0)) ),
    inference(subsumption_resolution,[],[f4415,f556]) ).

fof(f4415,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | cons(X2,X0) = app(cons(X2,X1),sK66(cons(X2,X0),cons(X2,X1)))
      | ~ ssList(cons(X2,X1))
      | ~ ssList(cons(X2,X0)) ),
    inference(resolution,[],[f632,f583]) ).

fof(f4424,plain,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | frontsegP(X3,cons(X2,X1))
      | ~ frontsegP(X3,cons(X2,X0))
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f4423,f556]) ).

fof(f4423,plain,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | frontsegP(X3,cons(X2,X1))
      | ~ frontsegP(X3,cons(X2,X0))
      | ~ ssList(cons(X2,X0))
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f4414,f556]) ).

fof(f4414,plain,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | frontsegP(X3,cons(X2,X1))
      | ~ frontsegP(X3,cons(X2,X0))
      | ~ ssList(cons(X2,X1))
      | ~ ssList(cons(X2,X0))
      | ~ ssList(X3) ),
    inference(resolution,[],[f632,f598]) ).

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,[],[f606]) ).

fof(f606,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,[],[f430]) ).

fof(f430,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,[],[f264]) ).

fof(f4278,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4277,f376]) ).

fof(f4277,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(subsumption_resolution,[],[f4132,f394]) ).

fof(f4132,plain,
    ! [X0] :
      ( app(nil,X0) != sK19
      | sK19 = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(sK19) ),
    inference(superposition,[],[f595,f695]) ).

fof(f4257,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f4256,f394]) ).

fof(f4256,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f4123,f376]) ).

fof(f4123,plain,
    ! [X0] :
      ( sK19 != app(sK19,X0)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(sK19)
      | ~ ssList(nil) ),
    inference(superposition,[],[f595,f668]) ).

fof(f595,plain,
    ! [X2,X0,X1] :
      ( app(X1,X2) != app(X1,X0)
      | X0 = X2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X1,X2) != app(X1,X0)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X1,X2) != app(X1,X0)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( app(X1,X2) = app(X1,X0)
               => X0 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

fof(f3966,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3965,f394]) ).

fof(f3965,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f3826,f376]) ).

fof(f3826,plain,
    ! [X0] :
      ( sK19 != app(X0,sK19)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(sK19)
      | ~ ssList(nil) ),
    inference(superposition,[],[f594,f695]) ).

fof(f3950,plain,
    ! [X0] :
      ( nil != app(X0,nil)
      | sK63(nil,nil) = X0
      | ~ ssList(X0)
      | ~ ssList(sK63(nil,nil)) ),
    inference(subsumption_resolution,[],[f3819,f394]) ).

fof(f3819,plain,
    ! [X0] :
      ( nil != app(X0,nil)
      | sK63(nil,nil) = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(sK63(nil,nil)) ),
    inference(superposition,[],[f594,f2609]) ).

fof(f3945,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3944,f376]) ).

fof(f3944,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(subsumption_resolution,[],[f3817,f394]) ).

fof(f3817,plain,
    ! [X0] :
      ( app(X0,nil) != sK19
      | sK19 = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(sK19) ),
    inference(superposition,[],[f594,f668]) ).

fof(f3877,plain,
    ! [X0] :
      ( nil != app(X0,nil)
      | sK63(nil,nil) = X0
      | ~ ssList(sK63(nil,nil))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3784,f394]) ).

fof(f3784,plain,
    ! [X0] :
      ( nil != app(X0,nil)
      | sK63(nil,nil) = X0
      | ~ ssList(sK63(nil,nil))
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f594,f2609]) ).

fof(f594,plain,
    ! [X2,X0,X1] :
      ( app(X2,X1) != app(X0,X1)
      | X0 = X2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f213]) ).

fof(f213,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X2,X1) != app(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f212]) ).

fof(f212,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X2,X1) != app(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( app(X2,X1) = app(X0,X1)
               => X0 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

fof(f3645,plain,
    ( rearsegP(sK19,nil)
    | ~ ssList(sK63(sK19,nil)) ),
    inference(subsumption_resolution,[],[f3641,f394]) ).

fof(f3641,plain,
    ( rearsegP(sK19,nil)
    | ~ ssList(sK63(sK19,nil))
    | ~ ssList(nil) ),
    inference(superposition,[],[f2167,f3591]) ).

fof(f3691,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK66(X1,X2))) = app(tl(X0),sK66(X1,X2))
      | ~ ssList(X0)
      | ~ frontsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f568,f582]) ).

fof(f3690,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK65(X1,X2))) = app(tl(X0),sK65(X1,X2))
      | ~ ssList(X0)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f568,f579]) ).

fof(f3689,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK64(X1,X2))) = app(tl(X0),sK64(X1,X2))
      | ~ ssList(X0)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f568,f578]) ).

fof(f3687,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK63(X1,X2))) = app(tl(X0),sK63(X1,X2))
      | ~ ssList(X0)
      | ~ rearsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f568,f575]) ).

fof(f3686,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK62(X1,X2))) = app(tl(X0),sK62(X1,X2))
      | ~ ssList(X0)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f568,f563]) ).

fof(f3685,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,sK61(X1,X2))) = app(tl(X0),sK61(X1,X2))
      | ~ ssList(X0)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f568,f562]) ).

fof(f3684,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK60(X1))) = app(tl(X0),sK60(X1))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f568,f546]) ).

fof(f3683,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK59(X1))) = app(tl(X0),sK59(X1))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f568,f545]) ).

fof(f3682,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK58(X1))) = app(tl(X0),sK58(X1))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f568,f544]) ).

fof(f3681,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK55(X1))) = app(tl(X0),sK55(X1))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f568,f535]) ).

fof(f3680,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK54(X1))) = app(tl(X0),sK54(X1))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f568,f534]) ).

fof(f3679,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK53(X1))) = app(tl(X0),sK53(X1))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f568,f533]) ).

fof(f3678,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK50(X1))) = app(tl(X0),sK50(X1))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f568,f523]) ).

fof(f3677,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK49(X1))) = app(tl(X0),sK49(X1))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f568,f522]) ).

fof(f3676,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK48(X1))) = app(tl(X0),sK48(X1))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f568,f521]) ).

fof(f3675,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK45(X1))) = app(tl(X0),sK45(X1))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f568,f511]) ).

fof(f3674,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK44(X1))) = app(tl(X0),sK44(X1))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f568,f510]) ).

fof(f3673,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK43(X1))) = app(tl(X0),sK43(X1))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f568,f509]) ).

fof(f3672,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK40(X1))) = app(tl(X0),sK40(X1))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f568,f499]) ).

fof(f3671,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK39(X1))) = app(tl(X0),sK39(X1))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f568,f498]) ).

fof(f3670,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK38(X1))) = app(tl(X0),sK38(X1))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f568,f497]) ).

fof(f3669,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK35(X1))) = app(tl(X0),sK35(X1))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f568,f488]) ).

fof(f3668,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK34(X1))) = app(tl(X0),sK34(X1))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f568,f487]) ).

fof(f3667,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK33(X1))) = app(tl(X0),sK33(X1))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f568,f486]) ).

fof(f3666,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK30(X1))) = app(tl(X0),sK30(X1))
      | ~ ssList(X0)
      | sP4(X1) ),
    inference(resolution,[],[f568,f477]) ).

fof(f3665,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK29(X1))) = app(tl(X0),sK29(X1))
      | ~ ssList(X0)
      | sP4(X1) ),
    inference(resolution,[],[f568,f476]) ).

fof(f3664,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK25(X1))) = app(tl(X0),sK25(X1))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f568,f466]) ).

fof(f3662,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,sK22(X1))) = app(tl(X0),sK22(X1))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f568,f458]) ).

fof(f3697,plain,
    ! [X0] :
      ( tl(app(X0,sK19)) = app(tl(X0),sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f3661,f379]) ).

fof(f3661,plain,
    ! [X0] :
      ( nil = X0
      | tl(app(X0,sK21)) = app(tl(X0),sK21)
      | ~ ssList(X0) ),
    inference(resolution,[],[f568,f378]) ).

fof(f3656,plain,
    ! [X0,X1] :
      ( nil = X0
      | tl(app(X0,tl(X1))) = app(tl(X0),tl(X1))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f568,f462]) ).

fof(f3655,plain,
    ! [X0] :
      ( nil = X0
      | app(tl(X0),nil) = tl(app(X0,nil))
      | ~ ssList(X0) ),
    inference(resolution,[],[f568,f394]) ).

fof(f3654,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,app(X1,X2))) = app(tl(X0),app(X1,X2))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f568,f566]) ).

fof(f3647,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | tl(app(X0,cons(X1,X2))) = app(tl(X0),cons(X1,X2))
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f568,f556]) ).

fof(f568,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | nil = X0
      | tl(app(X0,X1)) = app(tl(X0),X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f189]) ).

fof(f189,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).

fof(f3646,plain,
    ( frontsegP(sK19,sK63(sK19,nil))
    | ~ ssList(sK63(sK19,nil)) ),
    inference(subsumption_resolution,[],[f3642,f394]) ).

fof(f3642,plain,
    ( frontsegP(sK19,sK63(sK19,nil))
    | ~ ssList(nil)
    | ~ ssList(sK63(sK19,nil)) ),
    inference(superposition,[],[f2302,f3591]) ).

fof(f3644,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(sK63(sK19,nil),X0)
      | ~ ssList(X0)
      | ~ ssList(sK63(sK19,nil)) ),
    inference(subsumption_resolution,[],[f3640,f394]) ).

fof(f3640,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(sK63(sK19,nil),X0)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(sK63(sK19,nil)) ),
    inference(superposition,[],[f593,f3591]) ).

fof(f3643,plain,
    ! [X0] :
      ( memberP(sK19,X0)
      | ~ memberP(sK63(sK19,nil),X0)
      | ~ ssList(sK63(sK19,nil))
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f3634,f394]) ).

fof(f3634,plain,
    ! [X0] :
      ( memberP(sK19,X0)
      | ~ memberP(sK63(sK19,nil),X0)
      | ~ ssList(nil)
      | ~ ssList(sK63(sK19,nil))
      | ~ ssItem(X0) ),
    inference(superposition,[],[f448,f3591]) ).

fof(f3591,plain,
    sK19 = app(sK63(sK19,nil),nil),
    inference(resolution,[],[f2610,f376]) ).

fof(f3623,plain,
    ! [X0,X1] :
      ( sK66(X0,X1) = app(sK63(sK66(X0,X1),nil),nil)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2610,f582]) ).

fof(f3622,plain,
    ! [X0,X1] :
      ( sK65(X0,X1) = app(sK63(sK65(X0,X1),nil),nil)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2610,f579]) ).

fof(f3621,plain,
    ! [X0,X1] :
      ( sK64(X0,X1) = app(sK63(sK64(X0,X1),nil),nil)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2610,f578]) ).

fof(f3619,plain,
    ! [X0,X1] :
      ( sK63(X0,X1) = app(sK63(sK63(X0,X1),nil),nil)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2610,f575]) ).

fof(f3618,plain,
    ! [X0,X1] :
      ( sK62(X0,X1) = app(sK63(sK62(X0,X1),nil),nil)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2610,f563]) ).

fof(f3617,plain,
    ! [X0,X1] :
      ( sK61(X0,X1) = app(sK63(sK61(X0,X1),nil),nil)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2610,f562]) ).

fof(f3616,plain,
    ! [X0] :
      ( sK60(X0) = app(sK63(sK60(X0),nil),nil)
      | sP16(X0) ),
    inference(resolution,[],[f2610,f546]) ).

fof(f3615,plain,
    ! [X0] :
      ( sK59(X0) = app(sK63(sK59(X0),nil),nil)
      | sP16(X0) ),
    inference(resolution,[],[f2610,f545]) ).

fof(f3614,plain,
    ! [X0] :
      ( sK58(X0) = app(sK63(sK58(X0),nil),nil)
      | sP16(X0) ),
    inference(resolution,[],[f2610,f544]) ).

fof(f3613,plain,
    ! [X0] :
      ( sK55(X0) = app(sK63(sK55(X0),nil),nil)
      | sP14(X0) ),
    inference(resolution,[],[f2610,f535]) ).

fof(f3612,plain,
    ! [X0] :
      ( sK54(X0) = app(sK63(sK54(X0),nil),nil)
      | sP14(X0) ),
    inference(resolution,[],[f2610,f534]) ).

fof(f3611,plain,
    ! [X0] :
      ( sK53(X0) = app(sK63(sK53(X0),nil),nil)
      | sP14(X0) ),
    inference(resolution,[],[f2610,f533]) ).

fof(f3610,plain,
    ! [X0] :
      ( sK50(X0) = app(sK63(sK50(X0),nil),nil)
      | sP12(X0) ),
    inference(resolution,[],[f2610,f523]) ).

fof(f3609,plain,
    ! [X0] :
      ( sK49(X0) = app(sK63(sK49(X0),nil),nil)
      | sP12(X0) ),
    inference(resolution,[],[f2610,f522]) ).

fof(f3608,plain,
    ! [X0] :
      ( sK48(X0) = app(sK63(sK48(X0),nil),nil)
      | sP12(X0) ),
    inference(resolution,[],[f2610,f521]) ).

fof(f3607,plain,
    ! [X0] :
      ( sK45(X0) = app(sK63(sK45(X0),nil),nil)
      | sP10(X0) ),
    inference(resolution,[],[f2610,f511]) ).

fof(f3606,plain,
    ! [X0] :
      ( sK44(X0) = app(sK63(sK44(X0),nil),nil)
      | sP10(X0) ),
    inference(resolution,[],[f2610,f510]) ).

fof(f3605,plain,
    ! [X0] :
      ( sK43(X0) = app(sK63(sK43(X0),nil),nil)
      | sP10(X0) ),
    inference(resolution,[],[f2610,f509]) ).

fof(f3604,plain,
    ! [X0] :
      ( sK40(X0) = app(sK63(sK40(X0),nil),nil)
      | sP8(X0) ),
    inference(resolution,[],[f2610,f499]) ).

fof(f3603,plain,
    ! [X0] :
      ( sK39(X0) = app(sK63(sK39(X0),nil),nil)
      | sP8(X0) ),
    inference(resolution,[],[f2610,f498]) ).

fof(f3602,plain,
    ! [X0] :
      ( sK38(X0) = app(sK63(sK38(X0),nil),nil)
      | sP8(X0) ),
    inference(resolution,[],[f2610,f497]) ).

fof(f3601,plain,
    ! [X0] :
      ( sK35(X0) = app(sK63(sK35(X0),nil),nil)
      | sP6(X0) ),
    inference(resolution,[],[f2610,f488]) ).

fof(f3600,plain,
    ! [X0] :
      ( sK34(X0) = app(sK63(sK34(X0),nil),nil)
      | sP6(X0) ),
    inference(resolution,[],[f2610,f487]) ).

fof(f3599,plain,
    ! [X0] :
      ( sK33(X0) = app(sK63(sK33(X0),nil),nil)
      | sP6(X0) ),
    inference(resolution,[],[f2610,f486]) ).

fof(f3598,plain,
    ! [X0] :
      ( sK30(X0) = app(sK63(sK30(X0),nil),nil)
      | sP4(X0) ),
    inference(resolution,[],[f2610,f477]) ).

fof(f3597,plain,
    ! [X0] :
      ( sK29(X0) = app(sK63(sK29(X0),nil),nil)
      | sP4(X0) ),
    inference(resolution,[],[f2610,f476]) ).

fof(f3596,plain,
    ! [X0] :
      ( sK25(X0) = app(sK63(sK25(X0),nil),nil)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2610,f466]) ).

fof(f3594,plain,
    ! [X0] :
      ( sK22(X0) = app(sK63(sK22(X0),nil),nil)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2610,f458]) ).

fof(f3629,plain,
    sK19 = app(sK63(sK19,nil),nil),
    inference(forward_demodulation,[],[f3593,f379]) ).

fof(f3593,plain,
    sK21 = app(sK63(sK21,nil),nil),
    inference(resolution,[],[f2610,f378]) ).

fof(f3588,plain,
    ! [X0] :
      ( tl(X0) = app(sK63(tl(X0),nil),nil)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2610,f462]) ).

fof(f3586,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(sK63(app(X0,X1),nil),nil)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2610,f566]) ).

fof(f3579,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(sK63(cons(X0,X1),nil),nil)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f2610,f556]) ).

fof(f2610,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(sK63(X0,nil),nil) = X0 ),
    inference(subsumption_resolution,[],[f2604,f394]) ).

fof(f2604,plain,
    ! [X0] :
      ( app(sK63(X0,nil),nil) = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f2600]) ).

fof(f2600,plain,
    ! [X0] :
      ( app(sK63(X0,nil),nil) = X0
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f576,f450]) ).

fof(f3556,plain,
    ! [X0,X1] :
      ( sK66(X0,X1) = app(sK63(sK66(X0,X1),sK66(X0,X1)),sK66(X0,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2607,f582]) ).

fof(f3555,plain,
    ! [X0,X1] :
      ( sK65(X0,X1) = app(sK63(sK65(X0,X1),sK65(X0,X1)),sK65(X0,X1))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2607,f579]) ).

fof(f3554,plain,
    ! [X0,X1] :
      ( sK64(X0,X1) = app(sK63(sK64(X0,X1),sK64(X0,X1)),sK64(X0,X1))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2607,f578]) ).

fof(f3552,plain,
    ! [X0,X1] :
      ( sK63(X0,X1) = app(sK63(sK63(X0,X1),sK63(X0,X1)),sK63(X0,X1))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2607,f575]) ).

fof(f3551,plain,
    ! [X0,X1] :
      ( sK62(X0,X1) = app(sK63(sK62(X0,X1),sK62(X0,X1)),sK62(X0,X1))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2607,f563]) ).

fof(f3550,plain,
    ! [X0,X1] :
      ( sK61(X0,X1) = app(sK63(sK61(X0,X1),sK61(X0,X1)),sK61(X0,X1))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2607,f562]) ).

fof(f3549,plain,
    ! [X0] :
      ( sK60(X0) = app(sK63(sK60(X0),sK60(X0)),sK60(X0))
      | sP16(X0) ),
    inference(resolution,[],[f2607,f546]) ).

fof(f3548,plain,
    ! [X0] :
      ( sK59(X0) = app(sK63(sK59(X0),sK59(X0)),sK59(X0))
      | sP16(X0) ),
    inference(resolution,[],[f2607,f545]) ).

fof(f3547,plain,
    ! [X0] :
      ( sK58(X0) = app(sK63(sK58(X0),sK58(X0)),sK58(X0))
      | sP16(X0) ),
    inference(resolution,[],[f2607,f544]) ).

fof(f3546,plain,
    ! [X0] :
      ( sK55(X0) = app(sK63(sK55(X0),sK55(X0)),sK55(X0))
      | sP14(X0) ),
    inference(resolution,[],[f2607,f535]) ).

fof(f3545,plain,
    ! [X0] :
      ( sK54(X0) = app(sK63(sK54(X0),sK54(X0)),sK54(X0))
      | sP14(X0) ),
    inference(resolution,[],[f2607,f534]) ).

fof(f3544,plain,
    ! [X0] :
      ( sK53(X0) = app(sK63(sK53(X0),sK53(X0)),sK53(X0))
      | sP14(X0) ),
    inference(resolution,[],[f2607,f533]) ).

fof(f3543,plain,
    ! [X0] :
      ( sK50(X0) = app(sK63(sK50(X0),sK50(X0)),sK50(X0))
      | sP12(X0) ),
    inference(resolution,[],[f2607,f523]) ).

fof(f3542,plain,
    ! [X0] :
      ( sK49(X0) = app(sK63(sK49(X0),sK49(X0)),sK49(X0))
      | sP12(X0) ),
    inference(resolution,[],[f2607,f522]) ).

fof(f3541,plain,
    ! [X0] :
      ( sK48(X0) = app(sK63(sK48(X0),sK48(X0)),sK48(X0))
      | sP12(X0) ),
    inference(resolution,[],[f2607,f521]) ).

fof(f3540,plain,
    ! [X0] :
      ( sK45(X0) = app(sK63(sK45(X0),sK45(X0)),sK45(X0))
      | sP10(X0) ),
    inference(resolution,[],[f2607,f511]) ).

fof(f3539,plain,
    ! [X0] :
      ( sK44(X0) = app(sK63(sK44(X0),sK44(X0)),sK44(X0))
      | sP10(X0) ),
    inference(resolution,[],[f2607,f510]) ).

fof(f3538,plain,
    ! [X0] :
      ( sK43(X0) = app(sK63(sK43(X0),sK43(X0)),sK43(X0))
      | sP10(X0) ),
    inference(resolution,[],[f2607,f509]) ).

fof(f3537,plain,
    ! [X0] :
      ( sK40(X0) = app(sK63(sK40(X0),sK40(X0)),sK40(X0))
      | sP8(X0) ),
    inference(resolution,[],[f2607,f499]) ).

fof(f3536,plain,
    ! [X0] :
      ( sK39(X0) = app(sK63(sK39(X0),sK39(X0)),sK39(X0))
      | sP8(X0) ),
    inference(resolution,[],[f2607,f498]) ).

fof(f3535,plain,
    ! [X0] :
      ( sK38(X0) = app(sK63(sK38(X0),sK38(X0)),sK38(X0))
      | sP8(X0) ),
    inference(resolution,[],[f2607,f497]) ).

fof(f3534,plain,
    ! [X0] :
      ( sK35(X0) = app(sK63(sK35(X0),sK35(X0)),sK35(X0))
      | sP6(X0) ),
    inference(resolution,[],[f2607,f488]) ).

fof(f3533,plain,
    ! [X0] :
      ( sK34(X0) = app(sK63(sK34(X0),sK34(X0)),sK34(X0))
      | sP6(X0) ),
    inference(resolution,[],[f2607,f487]) ).

fof(f3532,plain,
    ! [X0] :
      ( sK33(X0) = app(sK63(sK33(X0),sK33(X0)),sK33(X0))
      | sP6(X0) ),
    inference(resolution,[],[f2607,f486]) ).

fof(f3531,plain,
    ! [X0] :
      ( sK30(X0) = app(sK63(sK30(X0),sK30(X0)),sK30(X0))
      | sP4(X0) ),
    inference(resolution,[],[f2607,f477]) ).

fof(f3530,plain,
    ! [X0] :
      ( sK29(X0) = app(sK63(sK29(X0),sK29(X0)),sK29(X0))
      | sP4(X0) ),
    inference(resolution,[],[f2607,f476]) ).

fof(f3529,plain,
    ! [X0] :
      ( sK25(X0) = app(sK63(sK25(X0),sK25(X0)),sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2607,f466]) ).

fof(f3527,plain,
    ! [X0] :
      ( sK22(X0) = app(sK63(sK22(X0),sK22(X0)),sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2607,f458]) ).

fof(f3521,plain,
    ! [X0] :
      ( tl(X0) = app(sK63(tl(X0),tl(X0)),tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f2607,f462]) ).

fof(f3519,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(sK63(app(X0,X1),app(X0,X1)),app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2607,f566]) ).

fof(f3512,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(sK63(cons(X0,X1),cons(X0,X1)),cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f2607,f556]) ).

fof(f2607,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(sK63(X0,X0),X0) = X0 ),
    inference(duplicate_literal_removal,[],[f2597]) ).

fof(f2597,plain,
    ! [X0] :
      ( app(sK63(X0,X0),X0) = X0
      | ~ ssList(X0)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f576,f454]) ).

fof(f3504,plain,
    ! [X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(nil,X1) ),
    inference(subsumption_resolution,[],[f3475,f376]) ).

fof(f3475,plain,
    ! [X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ frontsegP(nil,X1) ),
    inference(duplicate_literal_removal,[],[f3471]) ).

fof(f3471,plain,
    ! [X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ frontsegP(nil,X1)
      | ~ ssList(X1) ),
    inference(resolution,[],[f598,f2951]) ).

fof(f3502,plain,
    ! [X2,X3,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X2,X1)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f3479,f566]) ).

fof(f3479,plain,
    ! [X2,X3,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X3))
      | ~ ssList(X0)
      | ~ frontsegP(X2,X1)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f3466]) ).

fof(f3466,plain,
    ! [X2,X3,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X3))
      | ~ ssList(X0)
      | ~ frontsegP(X2,X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f598,f593]) ).

fof(f3501,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f3480,f566]) ).

fof(f3480,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2))
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f3465]) ).

fof(f3465,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ frontsegP(X0,app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f598,f2302]) ).

fof(f598,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X1,X2)
      | frontsegP(X0,X2)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f221,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(X0,X2)
              | ~ frontsegP(X1,X2)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(X0,X2)
              | ~ frontsegP(X1,X2)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( frontsegP(X1,X2)
                  & frontsegP(X0,X1) )
               => frontsegP(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

fof(f597,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X1,X2)
      | segmentP(X0,X2)
      | ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( segmentP(X0,X2)
              | ~ segmentP(X1,X2)
              | ~ segmentP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( segmentP(X0,X2)
              | ~ segmentP(X1,X2)
              | ~ segmentP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( segmentP(X1,X2)
                  & segmentP(X0,X1) )
               => segmentP(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

fof(f3360,plain,
    ! [X2,X3,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ rearsegP(X3,X1)
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f3334,f566]) ).

fof(f3334,plain,
    ! [X2,X3,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X3))
      | ~ ssList(X0)
      | ~ rearsegP(X3,X1)
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(duplicate_literal_removal,[],[f3323]) ).

fof(f3323,plain,
    ! [X2,X3,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X3))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X3))
      | ~ ssList(X0)
      | ~ rearsegP(X3,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X3) ),
    inference(resolution,[],[f596,f592]) ).

fof(f3359,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f3335,f566]) ).

fof(f3335,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X1))
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f3322]) ).

fof(f3322,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,app(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(app(X2,X1))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f596,f2167]) ).

fof(f3358,plain,
    ! [X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ rearsegP(nil,X1) ),
    inference(subsumption_resolution,[],[f3336,f376]) ).

fof(f3336,plain,
    ! [X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ rearsegP(nil,X1) ),
    inference(duplicate_literal_removal,[],[f3321]) ).

fof(f3321,plain,
    ! [X0,X1] :
      ( rearsegP(X0,X1)
      | ~ rearsegP(X0,sK19)
      | ~ ssList(X1)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ rearsegP(nil,X1)
      | ~ ssList(X1) ),
    inference(resolution,[],[f596,f2828]) ).

fof(f596,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X1,X2)
      | rearsegP(X0,X2)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(X0,X2)
              | ~ rearsegP(X1,X2)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(X0,X2)
              | ~ rearsegP(X1,X2)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( rearsegP(X1,X2)
                  & rearsegP(X0,X1) )
               => rearsegP(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

fof(f478,plain,
    ! [X0] :
      ( sP4(X0)
      | app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0 ),
    inference(cnf_transformation,[],[f293]) ).

fof(f3237,plain,
    ! [X2,X0,X1] :
      ( lt(X0,X1)
      | ~ lt(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X1 = X2
      | ~ leq(X2,X1) ),
    inference(duplicate_literal_removal,[],[f3236]) ).

fof(f3236,plain,
    ! [X2,X0,X1] :
      ( lt(X0,X1)
      | ~ lt(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X1 = X2
      | ~ leq(X2,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f424,f407]) ).

fof(f3235,plain,
    ! [X2,X0,X1] :
      ( lt(X0,hd(X1))
      | ~ lt(X0,X2)
      | ~ ssItem(hd(X1))
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | nil = X1
      | ~ sP2(X1,X2) ),
    inference(resolution,[],[f424,f443]) ).

fof(f424,plain,
    ! [X2,X0,X1] :
      ( ~ lt(X1,X2)
      | lt(X0,X2)
      | ~ lt(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ lt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ lt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( lt(X1,X2)
                  & lt(X0,X1) )
               => lt(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

fof(f2977,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ frontsegP(X0,sK19) ),
    inference(subsumption_resolution,[],[f2970,f376]) ).

fof(f2970,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ frontsegP(X0,sK19)
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f2969]) ).

fof(f2969,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ frontsegP(X0,sK19)
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2951,f572]) ).

fof(f3202,plain,
    ( ~ rearsegP(nil,sK19)
    | spl69_1 ),
    inference(subsumption_resolution,[],[f3201,f647]) ).

fof(f3201,plain,
    ( nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(subsumption_resolution,[],[f3200,f394]) ).

fof(f3200,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(duplicate_literal_removal,[],[f3196]) ).

fof(f3196,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ rearsegP(nil,sK19)
    | ~ ssList(nil) ),
    inference(resolution,[],[f2865,f454]) ).

fof(f3206,plain,
    ( ~ rearsegP(nil,sK19)
    | spl69_1 ),
    inference(subsumption_resolution,[],[f3205,f647]) ).

fof(f3205,plain,
    ( nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(subsumption_resolution,[],[f3199,f394]) ).

fof(f3199,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(duplicate_literal_removal,[],[f3198]) ).

fof(f3198,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ rearsegP(nil,sK19)
    | ~ ssList(nil) ),
    inference(resolution,[],[f2865,f450]) ).

fof(f3204,plain,
    ( ~ rearsegP(nil,sK19)
    | spl69_1 ),
    inference(subsumption_resolution,[],[f3203,f647]) ).

fof(f3203,plain,
    ( nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(subsumption_resolution,[],[f3197,f394]) ).

fof(f3197,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ rearsegP(nil,sK19) ),
    inference(resolution,[],[f2865,f635]) ).

fof(f2865,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ rearsegP(X0,sK19) ),
    inference(subsumption_resolution,[],[f2860,f376]) ).

fof(f2860,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ rearsegP(X0,sK19)
      | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f2859]) ).

fof(f2859,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | sK19 = X0
      | ~ rearsegP(X0,sK19)
      | ~ ssList(sK19)
      | ~ ssList(X0) ),
    inference(resolution,[],[f2828,f570]) ).

fof(f3191,plain,
    ! [X2,X0,X1] :
      ( lt(X0,X1)
      | ~ leq(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X1 = X2
      | ~ leq(X2,X1) ),
    inference(duplicate_literal_removal,[],[f3190]) ).

fof(f3190,plain,
    ! [X2,X0,X1] :
      ( lt(X0,X1)
      | ~ leq(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X1 = X2
      | ~ leq(X2,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f423,f407]) ).

fof(f3189,plain,
    ! [X2,X0,X1] :
      ( lt(X0,hd(X1))
      | ~ leq(X0,X2)
      | ~ ssItem(hd(X1))
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | nil = X1
      | ~ sP2(X1,X2) ),
    inference(resolution,[],[f423,f443]) ).

fof(f423,plain,
    ! [X2,X0,X1] :
      ( ~ lt(X1,X2)
      | lt(X0,X2)
      | ~ leq(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( lt(X0,X2)
              | ~ lt(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( lt(X1,X2)
                  & leq(X0,X1) )
               => lt(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).

fof(f3150,plain,
    ! [X0,X1] :
      ( ~ leq(X0,sK47(X1))
      | leq(X0,sK46(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(subsumption_resolution,[],[f3149,f520]) ).

fof(f3149,plain,
    ! [X0,X1] :
      ( leq(X0,sK46(X1))
      | ~ leq(X0,sK47(X1))
      | ~ ssItem(sK47(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(subsumption_resolution,[],[f3145,f519]) ).

fof(f3145,plain,
    ! [X0,X1] :
      ( leq(X0,sK46(X1))
      | ~ leq(X0,sK47(X1))
      | ~ ssItem(sK46(X1))
      | ~ ssItem(sK47(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(resolution,[],[f422,f526]) ).

fof(f3148,plain,
    ! [X0,X1] :
      ( leq(X0,sK47(X1))
      | ~ leq(X0,sK46(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(subsumption_resolution,[],[f3147,f519]) ).

fof(f3147,plain,
    ! [X0,X1] :
      ( leq(X0,sK47(X1))
      | ~ leq(X0,sK46(X1))
      | ~ ssItem(sK46(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(subsumption_resolution,[],[f3144,f520]) ).

fof(f3144,plain,
    ! [X0,X1] :
      ( leq(X0,sK47(X1))
      | ~ leq(X0,sK46(X1))
      | ~ ssItem(sK47(X1))
      | ~ ssItem(sK46(X1))
      | ~ ssItem(X0)
      | sP12(X1) ),
    inference(resolution,[],[f422,f525]) ).

fof(f3143,plain,
    ! [X2,X0,X1] :
      ( leq(X0,hd(X1))
      | ~ leq(X0,X2)
      | ~ ssItem(hd(X1))
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | nil = X1
      | ~ sP0(X1,X2) ),
    inference(resolution,[],[f422,f435]) ).

fof(f422,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( leq(X0,X2)
              | ~ leq(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( leq(X0,X2)
              | ~ leq(X1,X2)
              | ~ leq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( leq(X1,X2)
                  & leq(X0,X1) )
               => leq(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

fof(f3087,plain,
    ! [X2,X0,X1] :
      ( geq(X0,X1)
      | ~ geq(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ leq(X1,X2) ),
    inference(duplicate_literal_removal,[],[f3086]) ).

fof(f3086,plain,
    ! [X2,X0,X1] :
      ( geq(X0,X1)
      | ~ geq(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ leq(X1,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f421,f416]) ).

fof(f421,plain,
    ! [X2,X0,X1] :
      ( ~ geq(X1,X2)
      | geq(X0,X2)
      | ~ geq(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( geq(X0,X2)
              | ~ geq(X1,X2)
              | ~ geq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( geq(X0,X2)
              | ~ geq(X1,X2)
              | ~ geq(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( geq(X1,X2)
                  & geq(X0,X1) )
               => geq(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).

fof(f3005,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X1)
      | ~ gt(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ lt(X1,X2) ),
    inference(duplicate_literal_removal,[],[f3004]) ).

fof(f3004,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X1)
      | ~ gt(X0,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ lt(X1,X2)
      | ~ ssItem(X1)
      | ~ ssItem(X2) ),
    inference(resolution,[],[f420,f414]) ).

fof(f420,plain,
    ! [X2,X0,X1] :
      ( ~ gt(X1,X2)
      | gt(X0,X2)
      | ~ gt(X0,X1)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( gt(X0,X2)
              | ~ gt(X1,X2)
              | ~ gt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( gt(X0,X2)
              | ~ gt(X1,X2)
              | ~ gt(X0,X1)
              | ~ ssItem(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ( ( gt(X1,X2)
                  & gt(X0,X1) )
               => gt(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).

fof(f2951,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(nil,X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2950,f394]) ).

fof(f2950,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f2919,f376]) ).

fof(f2919,plain,
    ! [X0] :
      ( frontsegP(sK19,X0)
      | ~ frontsegP(nil,X0)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(superposition,[],[f593,f695]) ).

fof(f2944,plain,
    ! [X0] :
      ( frontsegP(nil,X0)
      | ~ frontsegP(sK63(nil,nil),X0)
      | ~ ssList(X0)
      | ~ ssList(sK63(nil,nil)) ),
    inference(subsumption_resolution,[],[f2916,f394]) ).

fof(f2916,plain,
    ! [X0] :
      ( frontsegP(nil,X0)
      | ~ frontsegP(sK63(nil,nil),X0)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(sK63(nil,nil)) ),
    inference(superposition,[],[f593,f2609]) ).

fof(f2933,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = X1
      | ~ frontsegP(X1,app(X0,X2)) ),
    inference(subsumption_resolution,[],[f2930,f566]) ).

fof(f2930,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = X1
      | ~ frontsegP(X1,app(X0,X2))
      | ~ ssList(app(X0,X2)) ),
    inference(duplicate_literal_removal,[],[f2900]) ).

fof(f2900,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = X1
      | ~ frontsegP(X1,app(X0,X2))
      | ~ ssList(app(X0,X2))
      | ~ ssList(X1) ),
    inference(resolution,[],[f593,f572]) ).

fof(f2932,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = app(X1,sK66(app(X0,X2),X1)) ),
    inference(subsumption_resolution,[],[f2931,f566]) ).

fof(f2931,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = app(X1,sK66(app(X0,X2),X1))
      | ~ ssList(app(X0,X2)) ),
    inference(duplicate_literal_removal,[],[f2899]) ).

fof(f2899,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X2) = app(X1,sK66(app(X0,X2),X1))
      | ~ ssList(X1)
      | ~ ssList(app(X0,X2)) ),
    inference(resolution,[],[f593,f583]) ).

fof(f593,plain,
    ! [X2,X0,X1] :
      ( frontsegP(app(X0,X2),X1)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(app(X0,X2),X1)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f210]) ).

fof(f210,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( frontsegP(app(X0,X2),X1)
              | ~ frontsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( frontsegP(X0,X1)
               => frontsegP(app(X0,X2),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

fof(f2828,plain,
    ! [X0] :
      ( rearsegP(sK19,X0)
      | ~ rearsegP(nil,X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2827,f394]) ).

fof(f2827,plain,
    ! [X0] :
      ( rearsegP(sK19,X0)
      | ~ rearsegP(nil,X0)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f2793,f376]) ).

fof(f2793,plain,
    ! [X0] :
      ( rearsegP(sK19,X0)
      | ~ rearsegP(nil,X0)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(superposition,[],[f592,f668]) ).

fof(f2811,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = X1
      | ~ rearsegP(X1,app(X2,X0)) ),
    inference(subsumption_resolution,[],[f2808,f566]) ).

fof(f2808,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = X1
      | ~ rearsegP(X1,app(X2,X0))
      | ~ ssList(app(X2,X0)) ),
    inference(duplicate_literal_removal,[],[f2779]) ).

fof(f2779,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = X1
      | ~ rearsegP(X1,app(X2,X0))
      | ~ ssList(app(X2,X0))
      | ~ ssList(X1) ),
    inference(resolution,[],[f592,f570]) ).

fof(f2810,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = app(sK63(app(X2,X0),X1),X1) ),
    inference(subsumption_resolution,[],[f2809,f566]) ).

fof(f2809,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = app(sK63(app(X2,X0),X1),X1)
      | ~ ssList(app(X2,X0)) ),
    inference(duplicate_literal_removal,[],[f2778]) ).

fof(f2778,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X2,X0) = app(sK63(app(X2,X0),X1),X1)
      | ~ ssList(X1)
      | ~ ssList(app(X2,X0)) ),
    inference(resolution,[],[f592,f576]) ).

fof(f592,plain,
    ! [X2,X0,X1] :
      ( rearsegP(app(X2,X0),X1)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(app(X2,X0),X1)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(app(X2,X0),X1)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( rearsegP(X0,X1)
               => rearsegP(app(X2,X0),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

fof(f2705,plain,
    nil = app(nil,sK66(nil,nil)),
    inference(subsumption_resolution,[],[f2693,f394]) ).

fof(f2693,plain,
    ( nil = app(nil,sK66(nil,nil))
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f2687]) ).

fof(f2687,plain,
    ( nil = app(nil,sK66(nil,nil))
    | ~ ssList(nil)
    | ~ ssList(nil) ),
    inference(resolution,[],[f583,f637]) ).

fof(f2704,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(X0,sK66(app(X0,X1),X0))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f2694,f566]) ).

fof(f2694,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(X0,sK66(app(X0,X1),X0))
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f2686]) ).

fof(f2686,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(X0,sK66(app(X0,X1),X0))
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f583,f2302]) ).

fof(f583,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | app(X1,sK66(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f369]) ).

fof(f2628,plain,
    ( frontsegP(nil,sK63(nil,nil))
    | ~ ssList(sK63(nil,nil)) ),
    inference(subsumption_resolution,[],[f2623,f394]) ).

fof(f2623,plain,
    ( frontsegP(nil,sK63(nil,nil))
    | ~ ssList(nil)
    | ~ ssList(sK63(nil,nil)) ),
    inference(superposition,[],[f2302,f2609]) ).

fof(f2627,plain,
    ( nil = sK63(nil,nil)
    | ~ ssList(sK63(nil,nil)) ),
    inference(subsumption_resolution,[],[f2624,f394]) ).

fof(f2624,plain,
    ( nil = sK63(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(sK63(nil,nil)) ),
    inference(trivial_inequality_removal,[],[f2621]) ).

fof(f2621,plain,
    ( nil != nil
    | nil = sK63(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(sK63(nil,nil)) ),
    inference(superposition,[],[f586,f2609]) ).

fof(f2626,plain,
    ! [X0] :
      ( ~ memberP(sK63(nil,nil),X0)
      | ~ ssList(sK63(nil,nil))
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f2625,f395]) ).

fof(f2625,plain,
    ! [X0] :
      ( memberP(nil,X0)
      | ~ memberP(sK63(nil,nil),X0)
      | ~ ssList(sK63(nil,nil))
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f2617,f394]) ).

fof(f2617,plain,
    ! [X0] :
      ( memberP(nil,X0)
      | ~ memberP(sK63(nil,nil),X0)
      | ~ ssList(nil)
      | ~ ssList(sK63(nil,nil))
      | ~ ssItem(X0) ),
    inference(superposition,[],[f448,f2609]) ).

fof(f2609,plain,
    nil = app(sK63(nil,nil),nil),
    inference(subsumption_resolution,[],[f2605,f394]) ).

fof(f2605,plain,
    ( nil = app(sK63(nil,nil),nil)
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f2599]) ).

fof(f2599,plain,
    ( nil = app(sK63(nil,nil),nil)
    | ~ ssList(nil)
    | ~ ssList(nil) ),
    inference(resolution,[],[f576,f635]) ).

fof(f2608,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(sK63(app(X0,X1),X1),X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f2606,f566]) ).

fof(f2606,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(sK63(app(X0,X1),X1),X1)
      | ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f2598]) ).

fof(f2598,plain,
    ! [X0,X1] :
      ( app(X0,X1) = app(sK63(app(X0,X1),X1),X1)
      | ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f576,f2167]) ).

fof(f576,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | app(sK63(X0,X1),X1) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f360]) ).

fof(f360,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(sK63(X0,X1),X1) = X0
                & ssList(sK63(X0,X1)) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f358,f359]) ).

fof(f359,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X3,X1) = X0
          & ssList(X3) )
     => ( app(sK63(X0,X1),X1) = X0
        & ssList(sK63(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f358,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,[],[f357]) ).

fof(f357,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,[],[f200]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f2590,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK66(X1,X2)))
      | ~ ssList(X0)
      | ~ frontsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f582]) ).

fof(f2589,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK65(X1,X2)))
      | ~ ssList(X0)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f579]) ).

fof(f2588,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK64(X1,X2)))
      | ~ ssList(X0)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f578]) ).

fof(f2587,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK63(X1,X2)))
      | ~ ssList(X0)
      | ~ rearsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f575]) ).

fof(f2586,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK62(X1,X2)))
      | ~ ssList(X0)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f563]) ).

fof(f2585,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK61(X1,X2)))
      | ~ ssList(X0)
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f562]) ).

fof(f2584,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK60(X1)))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f567,f546]) ).

fof(f2583,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK59(X1)))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f567,f545]) ).

fof(f2582,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK58(X1)))
      | ~ ssList(X0)
      | sP16(X1) ),
    inference(resolution,[],[f567,f544]) ).

fof(f2581,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK55(X1)))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f567,f535]) ).

fof(f2580,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK54(X1)))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f567,f534]) ).

fof(f2579,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK53(X1)))
      | ~ ssList(X0)
      | sP14(X1) ),
    inference(resolution,[],[f567,f533]) ).

fof(f2578,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK50(X1)))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f567,f523]) ).

fof(f2577,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK49(X1)))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f567,f522]) ).

fof(f2576,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK48(X1)))
      | ~ ssList(X0)
      | sP12(X1) ),
    inference(resolution,[],[f567,f521]) ).

fof(f2575,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK45(X1)))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f567,f511]) ).

fof(f2574,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK44(X1)))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f567,f510]) ).

fof(f2573,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK43(X1)))
      | ~ ssList(X0)
      | sP10(X1) ),
    inference(resolution,[],[f567,f509]) ).

fof(f2572,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK40(X1)))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f567,f499]) ).

fof(f2571,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK39(X1)))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f567,f498]) ).

fof(f2570,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK38(X1)))
      | ~ ssList(X0)
      | sP8(X1) ),
    inference(resolution,[],[f567,f497]) ).

fof(f2569,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK35(X1)))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f567,f488]) ).

fof(f2568,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK34(X1)))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f567,f487]) ).

fof(f2567,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK33(X1)))
      | ~ ssList(X0)
      | sP6(X1) ),
    inference(resolution,[],[f567,f486]) ).

fof(f2566,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK30(X1)))
      | ~ ssList(X0)
      | sP4(X1) ),
    inference(resolution,[],[f567,f477]) ).

fof(f2565,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK29(X1)))
      | ~ ssList(X0)
      | sP4(X1) ),
    inference(resolution,[],[f567,f476]) ).

fof(f2564,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK25(X1)))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f466]) ).

fof(f2562,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK22(X1)))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f458]) ).

fof(f2594,plain,
    ! [X0] :
      ( hd(X0) = hd(app(X0,sK19))
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_demodulation,[],[f2561,f379]) ).

fof(f2561,plain,
    ! [X0] :
      ( nil = X0
      | hd(X0) = hd(app(X0,sK21))
      | ~ ssList(X0) ),
    inference(resolution,[],[f567,f378]) ).

fof(f2556,plain,
    ! [X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,tl(X1)))
      | ~ ssList(X0)
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f462]) ).

fof(f2555,plain,
    ! [X0] :
      ( nil = X0
      | hd(X0) = hd(app(X0,nil))
      | ~ ssList(X0) ),
    inference(resolution,[],[f567,f394]) ).

fof(f2554,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,app(X1,X2)))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f567,f566]) ).

fof(f2547,plain,
    ! [X2,X0,X1] :
      ( nil = X0
      | hd(X0) = hd(app(X0,cons(X1,X2)))
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f567,f556]) ).

fof(f567,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | nil = X0
      | hd(X0) = hd(app(X0,X1))
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(X0) = hd(app(X0,X1))
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f187]) ).

fof(f187,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(X0) = hd(app(X0,X1))
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => hd(X0) = hd(app(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

fof(f449,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f448,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f427,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f2339,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X0) = X1
      | ~ frontsegP(X1,app(X1,X0)) ),
    inference(subsumption_resolution,[],[f2338,f566]) ).

fof(f2338,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X0) = X1
      | ~ frontsegP(X1,app(X1,X0))
      | ~ ssList(app(X1,X0)) ),
    inference(duplicate_literal_removal,[],[f2315]) ).

fof(f2315,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X0) = X1
      | ~ frontsegP(X1,app(X1,X0))
      | ~ ssList(app(X1,X0))
      | ~ ssList(X1) ),
    inference(resolution,[],[f2302,f572]) ).

fof(f2266,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = X1
      | ~ rearsegP(X1,app(X0,X1)) ),
    inference(subsumption_resolution,[],[f2265,f566]) ).

fof(f2265,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = X1
      | ~ rearsegP(X1,app(X0,X1))
      | ~ ssList(app(X0,X1)) ),
    inference(duplicate_literal_removal,[],[f2243]) ).

fof(f2243,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) = X1
      | ~ rearsegP(X1,app(X0,X1))
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1) ),
    inference(resolution,[],[f2167,f570]) ).

fof(f2167,plain,
    ! [X2,X1] :
      ( rearsegP(app(X2,X1),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f625,f566]) ).

fof(f572,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | X0 = X1
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f197]) ).

fof(f197,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X1,X0)
          | ~ frontsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( frontsegP(X1,X0)
              & frontsegP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

fof(f571,plain,
    ! [X0,X1] :
      ( ~ segmentP(X1,X0)
      | X0 = X1
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ segmentP(X1,X0)
          | ~ segmentP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f195]) ).

fof(f195,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ segmentP(X1,X0)
          | ~ segmentP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( segmentP(X1,X0)
              & segmentP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

fof(f570,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X1,X0)
      | X0 = X1
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X1,X0)
          | ~ rearsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f193]) ).

fof(f193,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X1,X0)
          | ~ rearsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( rearsegP(X1,X0)
              & rearsegP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

fof(f1928,plain,
    ( ssList(cons(sK68,sK19))
    | ~ ssList(cons(sK68,nil)) ),
    inference(subsumption_resolution,[],[f1924,f376]) ).

fof(f1924,plain,
    ( ssList(cons(sK68,sK19))
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f566,f1871]) ).

fof(f1927,plain,
    ( nil != cons(sK68,sK19)
    | ~ ssList(cons(sK68,nil))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f1926,f376]) ).

fof(f1926,plain,
    ( nil != cons(sK68,sK19)
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f1923,f647]) ).

fof(f1923,plain,
    ( nil != cons(sK68,sK19)
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f585,f1871]) ).

fof(f1925,plain,
    ( nil != cons(sK68,sK19)
    | nil = cons(sK68,nil)
    | ~ ssList(cons(sK68,nil)) ),
    inference(subsumption_resolution,[],[f1922,f376]) ).

fof(f1922,plain,
    ( nil != cons(sK68,sK19)
    | nil = cons(sK68,nil)
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f586,f1871]) ).

fof(f1871,plain,
    cons(sK68,sK19) = app(cons(sK68,nil),sK19),
    inference(resolution,[],[f1813,f601]) ).

fof(f1879,plain,
    ( ssList(cons(sK67,sK19))
    | ~ ssList(cons(sK67,nil)) ),
    inference(subsumption_resolution,[],[f1875,f376]) ).

fof(f1875,plain,
    ( ssList(cons(sK67,sK19))
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f566,f1870]) ).

fof(f1878,plain,
    ( nil != cons(sK67,sK19)
    | ~ ssList(cons(sK67,nil))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f1877,f376]) ).

fof(f1877,plain,
    ( nil != cons(sK67,sK19)
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f1874,f647]) ).

fof(f1874,plain,
    ( nil != cons(sK67,sK19)
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f585,f1870]) ).

fof(f1876,plain,
    ( nil != cons(sK67,sK19)
    | nil = cons(sK67,nil)
    | ~ ssList(cons(sK67,nil)) ),
    inference(subsumption_resolution,[],[f1873,f376]) ).

fof(f1873,plain,
    ( nil != cons(sK67,sK19)
    | nil = cons(sK67,nil)
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f586,f1870]) ).

fof(f1870,plain,
    cons(sK67,sK19) = app(cons(sK67,nil),sK19),
    inference(resolution,[],[f1813,f600]) ).

fof(f1869,plain,
    ! [X0] :
      ( sP16(X0)
      | cons(sK57(X0),sK19) = app(cons(sK57(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f543]) ).

fof(f1868,plain,
    ! [X0] :
      ( sP16(X0)
      | cons(sK56(X0),sK19) = app(cons(sK56(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f542]) ).

fof(f1867,plain,
    ! [X0] :
      ( sP14(X0)
      | cons(sK52(X0),sK19) = app(cons(sK52(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f532]) ).

fof(f1866,plain,
    ! [X0] :
      ( sP14(X0)
      | cons(sK51(X0),sK19) = app(cons(sK51(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f531]) ).

fof(f1865,plain,
    ! [X0] :
      ( sP12(X0)
      | cons(sK47(X0),sK19) = app(cons(sK47(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f520]) ).

fof(f1864,plain,
    ! [X0] :
      ( sP12(X0)
      | cons(sK46(X0),sK19) = app(cons(sK46(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f519]) ).

fof(f1863,plain,
    ! [X0] :
      ( sP10(X0)
      | cons(sK42(X0),sK19) = app(cons(sK42(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f508]) ).

fof(f1862,plain,
    ! [X0] :
      ( sP10(X0)
      | cons(sK41(X0),sK19) = app(cons(sK41(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f507]) ).

fof(f1861,plain,
    ! [X0] :
      ( sP8(X0)
      | cons(sK37(X0),sK19) = app(cons(sK37(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f496]) ).

fof(f1860,plain,
    ! [X0] :
      ( sP8(X0)
      | cons(sK36(X0),sK19) = app(cons(sK36(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f495]) ).

fof(f1859,plain,
    ! [X0] :
      ( sP6(X0)
      | cons(sK32(X0),sK19) = app(cons(sK32(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f485]) ).

fof(f1858,plain,
    ! [X0] :
      ( sP6(X0)
      | cons(sK31(X0),sK19) = app(cons(sK31(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f484]) ).

fof(f1857,plain,
    ! [X0] :
      ( sP4(X0)
      | cons(sK28(X0),sK19) = app(cons(sK28(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f475]) ).

fof(f1856,plain,
    ! [X0] :
      ( sP4(X0)
      | cons(sK27(X0),sK19) = app(cons(sK27(X0),nil),sK19) ),
    inference(resolution,[],[f1813,f474]) ).

fof(f1855,plain,
    ! [X0] :
      ( cons(sK26(X0),sK19) = app(cons(sK26(X0),nil),sK19)
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1813,f468]) ).

fof(f1854,plain,
    ! [X0] :
      ( cons(sK24(X0),sK19) = app(cons(sK24(X0),nil),sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1813,f464]) ).

fof(f1852,plain,
    ! [X0] :
      ( cons(sK23(X0),sK19) = app(cons(sK23(X0),nil),sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1813,f459]) ).

fof(f1850,plain,
    ! [X0] :
      ( cons(hd(X0),sK19) = app(cons(hd(X0),nil),sK19)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1813,f461]) ).

fof(f1813,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,sK19) = app(cons(X0,nil),sK19) ),
    inference(resolution,[],[f561,f376]) ).

fof(f1844,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK66(X1,X2)) = app(cons(X0,nil),sK66(X1,X2))
      | ~ frontsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f561,f582]) ).

fof(f1843,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK65(X1,X2)) = app(cons(X0,nil),sK65(X1,X2))
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f561,f579]) ).

fof(f1842,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK64(X1,X2)) = app(cons(X0,nil),sK64(X1,X2))
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f561,f578]) ).

fof(f1841,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK63(X1,X2)) = app(cons(X0,nil),sK63(X1,X2))
      | ~ rearsegP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f561,f575]) ).

fof(f1840,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK62(X1,X2)) = app(cons(X0,nil),sK62(X1,X2))
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f561,f563]) ).

fof(f1839,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK61(X1,X2)) = app(cons(X0,nil),sK61(X1,X2))
      | ~ memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f561,f562]) ).

fof(f1838,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK60(X1)) = app(cons(X0,nil),sK60(X1))
      | sP16(X1) ),
    inference(resolution,[],[f561,f546]) ).

fof(f1837,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK59(X1)) = app(cons(X0,nil),sK59(X1))
      | sP16(X1) ),
    inference(resolution,[],[f561,f545]) ).

fof(f1836,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK58(X1)) = app(cons(X0,nil),sK58(X1))
      | sP16(X1) ),
    inference(resolution,[],[f561,f544]) ).

fof(f1835,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK55(X1)) = app(cons(X0,nil),sK55(X1))
      | sP14(X1) ),
    inference(resolution,[],[f561,f535]) ).

fof(f1834,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK54(X1)) = app(cons(X0,nil),sK54(X1))
      | sP14(X1) ),
    inference(resolution,[],[f561,f534]) ).

fof(f1833,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK53(X1)) = app(cons(X0,nil),sK53(X1))
      | sP14(X1) ),
    inference(resolution,[],[f561,f533]) ).

fof(f1832,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK50(X1)) = app(cons(X0,nil),sK50(X1))
      | sP12(X1) ),
    inference(resolution,[],[f561,f523]) ).

fof(f1831,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK49(X1)) = app(cons(X0,nil),sK49(X1))
      | sP12(X1) ),
    inference(resolution,[],[f561,f522]) ).

fof(f1830,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK48(X1)) = app(cons(X0,nil),sK48(X1))
      | sP12(X1) ),
    inference(resolution,[],[f561,f521]) ).

fof(f1829,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK45(X1)) = app(cons(X0,nil),sK45(X1))
      | sP10(X1) ),
    inference(resolution,[],[f561,f511]) ).

fof(f1828,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK44(X1)) = app(cons(X0,nil),sK44(X1))
      | sP10(X1) ),
    inference(resolution,[],[f561,f510]) ).

fof(f1827,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK43(X1)) = app(cons(X0,nil),sK43(X1))
      | sP10(X1) ),
    inference(resolution,[],[f561,f509]) ).

fof(f1826,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK40(X1)) = app(cons(X0,nil),sK40(X1))
      | sP8(X1) ),
    inference(resolution,[],[f561,f499]) ).

fof(f1825,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK39(X1)) = app(cons(X0,nil),sK39(X1))
      | sP8(X1) ),
    inference(resolution,[],[f561,f498]) ).

fof(f1824,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK38(X1)) = app(cons(X0,nil),sK38(X1))
      | sP8(X1) ),
    inference(resolution,[],[f561,f497]) ).

fof(f1823,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK35(X1)) = app(cons(X0,nil),sK35(X1))
      | sP6(X1) ),
    inference(resolution,[],[f561,f488]) ).

fof(f1822,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK34(X1)) = app(cons(X0,nil),sK34(X1))
      | sP6(X1) ),
    inference(resolution,[],[f561,f487]) ).

fof(f1821,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK33(X1)) = app(cons(X0,nil),sK33(X1))
      | sP6(X1) ),
    inference(resolution,[],[f561,f486]) ).

fof(f1820,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK30(X1)) = app(cons(X0,nil),sK30(X1))
      | sP4(X1) ),
    inference(resolution,[],[f561,f477]) ).

fof(f1819,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK29(X1)) = app(cons(X0,nil),sK29(X1))
      | sP4(X1) ),
    inference(resolution,[],[f561,f476]) ).

fof(f1818,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK25(X1)) = app(cons(X0,nil),sK25(X1))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f561,f466]) ).

fof(f1816,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,sK22(X1)) = app(cons(X0,nil),sK22(X1))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f561,f458]) ).

fof(f1848,plain,
    ! [X0] :
      ( cons(X0,sK19) = app(cons(X0,nil),sK19)
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[],[f1815,f379]) ).

fof(f1815,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,sK21) = app(cons(X0,nil),sK21) ),
    inference(resolution,[],[f561,f378]) ).

fof(f1810,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f561,f462]) ).

fof(f1809,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,nil) = app(cons(X0,nil),nil) ),
    inference(resolution,[],[f561,f394]) ).

fof(f1808,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,app(X1,X2)) = app(cons(X0,nil),app(X1,X2))
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f561,f566]) ).

fof(f1807,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f561,f556]) ).

fof(f1739,plain,
    ! [X0] :
      ( sP12(X0)
      | sK46(X0) = sK47(X0) ),
    inference(subsumption_resolution,[],[f1738,f520]) ).

fof(f1738,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ ssItem(sK47(X0))
      | sP12(X0) ),
    inference(subsumption_resolution,[],[f1737,f519]) ).

fof(f1737,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ ssItem(sK46(X0))
      | ~ ssItem(sK47(X0))
      | sP12(X0) ),
    inference(subsumption_resolution,[],[f1734,f526]) ).

fof(f1734,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ leq(sK47(X0),sK46(X0))
      | ~ ssItem(sK46(X0))
      | ~ ssItem(sK47(X0))
      | sP12(X0) ),
    inference(resolution,[],[f410,f525]) ).

fof(f1742,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | sP12(X0) ),
    inference(subsumption_resolution,[],[f1741,f519]) ).

fof(f1741,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ ssItem(sK46(X0))
      | sP12(X0) ),
    inference(subsumption_resolution,[],[f1740,f520]) ).

fof(f1740,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ ssItem(sK47(X0))
      | ~ ssItem(sK46(X0))
      | sP12(X0) ),
    inference(subsumption_resolution,[],[f1735,f525]) ).

fof(f1735,plain,
    ! [X0] :
      ( sK46(X0) = sK47(X0)
      | ~ leq(sK46(X0),sK47(X0))
      | ~ ssItem(sK47(X0))
      | ~ ssItem(sK46(X0))
      | sP12(X0) ),
    inference(resolution,[],[f410,f526]) ).

fof(f1733,plain,
    ! [X0,X1] :
      ( hd(X0) = X1
      | ~ leq(hd(X0),X1)
      | ~ ssItem(X1)
      | ~ ssItem(hd(X0))
      | nil = X0
      | ~ sP0(X0,X1) ),
    inference(resolution,[],[f410,f435]) ).

fof(f410,plain,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ leq(X1,X0)
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ leq(X1,X0)
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( ( leq(X1,X0)
              & leq(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f1690,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ geq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X0,X1) ),
    inference(duplicate_literal_removal,[],[f1689]) ).

fof(f1689,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ geq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ leq(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1) ),
    inference(resolution,[],[f409,f416]) ).

fof(f409,plain,
    ! [X0,X1] :
      ( ~ geq(X1,X0)
      | X0 = X1
      | ~ geq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ geq(X1,X0)
          | ~ geq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ geq(X1,X0)
          | ~ geq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( ( geq(X1,X0)
              & geq(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).

fof(f1627,plain,
    ! [X0] :
      ( ~ leq(sK56(X0),sK57(X0))
      | sK56(X0) = sK57(X0)
      | sP16(X0) ),
    inference(subsumption_resolution,[],[f1626,f542]) ).

fof(f1626,plain,
    ! [X0] :
      ( sK56(X0) = sK57(X0)
      | ~ leq(sK56(X0),sK57(X0))
      | ~ ssItem(sK56(X0))
      | sP16(X0) ),
    inference(subsumption_resolution,[],[f1618,f543]) ).

fof(f1618,plain,
    ! [X0] :
      ( sK56(X0) = sK57(X0)
      | ~ leq(sK56(X0),sK57(X0))
      | ~ ssItem(sK57(X0))
      | ~ ssItem(sK56(X0))
      | sP16(X0) ),
    inference(resolution,[],[f407,f548]) ).

fof(f1625,plain,
    ! [X0] :
      ( ~ leq(sK42(X0),sK41(X0))
      | sK41(X0) = sK42(X0)
      | sP10(X0) ),
    inference(subsumption_resolution,[],[f1624,f508]) ).

fof(f1624,plain,
    ! [X0] :
      ( sK41(X0) = sK42(X0)
      | ~ leq(sK42(X0),sK41(X0))
      | ~ ssItem(sK42(X0))
      | sP10(X0) ),
    inference(subsumption_resolution,[],[f1617,f507]) ).

fof(f1617,plain,
    ! [X0] :
      ( sK41(X0) = sK42(X0)
      | ~ leq(sK42(X0),sK41(X0))
      | ~ ssItem(sK41(X0))
      | ~ ssItem(sK42(X0))
      | sP10(X0) ),
    inference(resolution,[],[f407,f514]) ).

fof(f1623,plain,
    ! [X0] :
      ( ~ leq(sK41(X0),sK42(X0))
      | sK41(X0) = sK42(X0)
      | sP10(X0) ),
    inference(subsumption_resolution,[],[f1622,f507]) ).

fof(f1622,plain,
    ! [X0] :
      ( sK41(X0) = sK42(X0)
      | ~ leq(sK41(X0),sK42(X0))
      | ~ ssItem(sK41(X0))
      | sP10(X0) ),
    inference(subsumption_resolution,[],[f1616,f508]) ).

fof(f1616,plain,
    ! [X0] :
      ( sK41(X0) = sK42(X0)
      | ~ leq(sK41(X0),sK42(X0))
      | ~ ssItem(sK42(X0))
      | ~ ssItem(sK41(X0))
      | sP10(X0) ),
    inference(resolution,[],[f407,f513]) ).

fof(f1615,plain,
    ! [X0,X1] :
      ( hd(X1) = X0
      | ~ leq(X0,hd(X1))
      | ~ ssItem(hd(X1))
      | ~ ssItem(X0)
      | sP2(X1,X0)
      | ~ strictorderedP(X1)
      | nil = X1 ),
    inference(resolution,[],[f407,f445]) ).

fof(f1619,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ lt(X1,X0) ),
    inference(duplicate_literal_removal,[],[f1614]) ).

fof(f1614,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ lt(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1) ),
    inference(resolution,[],[f407,f408]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( lt(X0,X1)
      | X0 = X1
      | ~ leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( lt(X0,X1)
          | X0 = X1
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( lt(X0,X1)
          | X0 = X1
          | ~ leq(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( leq(X0,X1)
           => ( lt(X0,X1)
              | X0 = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).

fof(f586,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f371]) ).

fof(f371,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,[],[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(nnf_transformation,[],[f203]) ).

fof(f203,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

fof(f585,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f371]) ).

fof(f1468,plain,
    ( sK19 != tl(sK19)
    | ~ ssItem(hd(sK19))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f1467,f376]) ).

fof(f1467,plain,
    ( sK19 != tl(sK19)
    | ~ ssItem(hd(sK19))
    | ~ ssList(sK19)
    | spl69_1 ),
    inference(inner_rewriting,[],[f1464]) ).

fof(f1465,plain,
    ( memberP(sK19,hd(sK19))
    | ~ ssList(tl(sK19))
    | ~ ssItem(hd(sK19))
    | spl69_1 ),
    inference(superposition,[],[f633,f1453]) ).

fof(f1464,plain,
    ( sK19 != tl(sK19)
    | ~ ssItem(hd(sK19))
    | ~ ssList(tl(sK19))
    | spl69_1 ),
    inference(superposition,[],[f558,f1453]) ).

fof(f1459,plain,
    ( totalorderedP(sK19)
    | ~ sP0(tl(sK19),hd(sK19))
    | ~ sP1(hd(sK19),tl(sK19))
    | spl69_1 ),
    inference(superposition,[],[f432,f1453]) ).

fof(f1451,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f463,f582]) ).

fof(f1450,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,[],[f463,f579]) ).

fof(f1449,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,[],[f463,f578]) ).

fof(f1448,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK63(X0,X1) = cons(hd(sK63(X0,X1)),tl(sK63(X0,X1)))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f463,f575]) ).

fof(f1447,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,[],[f463,f563]) ).

fof(f1446,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,[],[f463,f562]) ).

fof(f1445,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK60(X0) = cons(hd(sK60(X0)),tl(sK60(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f463,f546]) ).

fof(f1444,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK59(X0) = cons(hd(sK59(X0)),tl(sK59(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f463,f545]) ).

fof(f1443,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK58(X0) = cons(hd(sK58(X0)),tl(sK58(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f463,f544]) ).

fof(f1442,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK55(X0) = cons(hd(sK55(X0)),tl(sK55(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f463,f535]) ).

fof(f1441,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK54(X0) = cons(hd(sK54(X0)),tl(sK54(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f463,f534]) ).

fof(f1440,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK53(X0) = cons(hd(sK53(X0)),tl(sK53(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f463,f533]) ).

fof(f1439,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK50(X0) = cons(hd(sK50(X0)),tl(sK50(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f463,f523]) ).

fof(f1438,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK49(X0) = cons(hd(sK49(X0)),tl(sK49(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f463,f522]) ).

fof(f1437,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK48(X0) = cons(hd(sK48(X0)),tl(sK48(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f463,f521]) ).

fof(f1436,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK45(X0) = cons(hd(sK45(X0)),tl(sK45(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f463,f511]) ).

fof(f1435,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK44(X0) = cons(hd(sK44(X0)),tl(sK44(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f463,f510]) ).

fof(f1434,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK43(X0) = cons(hd(sK43(X0)),tl(sK43(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f463,f509]) ).

fof(f1433,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK40(X0) = cons(hd(sK40(X0)),tl(sK40(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f463,f499]) ).

fof(f1432,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK39(X0) = cons(hd(sK39(X0)),tl(sK39(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f463,f498]) ).

fof(f1431,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK38(X0) = cons(hd(sK38(X0)),tl(sK38(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f463,f497]) ).

fof(f1430,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK35(X0) = cons(hd(sK35(X0)),tl(sK35(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f463,f488]) ).

fof(f1429,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK34(X0) = cons(hd(sK34(X0)),tl(sK34(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f463,f487]) ).

fof(f1428,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK33(X0) = cons(hd(sK33(X0)),tl(sK33(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f463,f486]) ).

fof(f1427,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK30(X0) = cons(hd(sK30(X0)),tl(sK30(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f463,f477]) ).

fof(f1426,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK29(X0) = cons(hd(sK29(X0)),tl(sK29(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f463,f476]) ).

fof(f1425,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK25(X0) = cons(hd(sK25(X0)),tl(sK25(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f463,f466]) ).

fof(f1424,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK22(X0) = cons(hd(sK22(X0)),tl(sK22(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f463,f458]) ).

fof(f1457,plain,
    ( sK19 = cons(hd(sK19),tl(sK19))
    | spl69_1 ),
    inference(forward_demodulation,[],[f1456,f379]) ).

fof(f1456,plain,
    ( sK21 = cons(hd(sK21),tl(sK21))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f1455,f647]) ).

fof(f1455,plain,
    ( nil = sK19
    | sK21 = cons(hd(sK21),tl(sK21)) ),
    inference(forward_demodulation,[],[f1423,f379]) ).

fof(f1423,plain,
    ( nil = sK21
    | sK21 = cons(hd(sK21),tl(sK21)) ),
    inference(resolution,[],[f463,f378]) ).

fof(f1419,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f463,f462]) ).

fof(f1417,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,[],[f463,f566]) ).

fof(f1452,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1416,f557]) ).

fof(f1416,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,[],[f463,f556]) ).

fof(f1386,plain,
    ( sK19 != sK22(sK19)
    | ~ ssItem(sK23(sK19))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f1385,f376]) ).

fof(f1385,plain,
    ( sK19 != sK22(sK19)
    | ~ ssItem(sK23(sK19))
    | ~ ssList(sK19)
    | spl69_1 ),
    inference(inner_rewriting,[],[f1382]) ).

fof(f1383,plain,
    ( memberP(sK19,sK23(sK19))
    | ~ ssList(sK22(sK19))
    | ~ ssItem(sK23(sK19))
    | spl69_1 ),
    inference(superposition,[],[f633,f1371]) ).

fof(f1382,plain,
    ( sK19 != sK22(sK19)
    | ~ ssItem(sK23(sK19))
    | ~ ssList(sK22(sK19))
    | spl69_1 ),
    inference(superposition,[],[f558,f1371]) ).

fof(f1377,plain,
    ( totalorderedP(sK19)
    | ~ sP0(sK22(sK19),sK23(sK19))
    | ~ sP1(sK23(sK19),sK22(sK19))
    | spl69_1 ),
    inference(superposition,[],[f432,f1371]) ).

fof(f1376,plain,
    ( ~ totalorderedP(sK19)
    | sP0(sK22(sK19),sK23(sK19))
    | ~ sP1(sK23(sK19),sK22(sK19))
    | spl69_1 ),
    inference(superposition,[],[f431,f1371]) ).

fof(f1369,plain,
    ! [X0,X1] :
      ( nil = sK66(X0,X1)
      | sK66(X0,X1) = cons(sK23(sK66(X0,X1)),sK22(sK66(X0,X1)))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f460,f582]) ).

fof(f1368,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,[],[f460,f579]) ).

fof(f1367,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,[],[f460,f578]) ).

fof(f1366,plain,
    ! [X0,X1] :
      ( nil = sK63(X0,X1)
      | sK63(X0,X1) = cons(sK23(sK63(X0,X1)),sK22(sK63(X0,X1)))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f460,f575]) ).

fof(f1365,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,[],[f460,f563]) ).

fof(f1364,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,[],[f460,f562]) ).

fof(f1363,plain,
    ! [X0] :
      ( nil = sK60(X0)
      | sK60(X0) = cons(sK23(sK60(X0)),sK22(sK60(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f460,f546]) ).

fof(f1362,plain,
    ! [X0] :
      ( nil = sK59(X0)
      | sK59(X0) = cons(sK23(sK59(X0)),sK22(sK59(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f460,f545]) ).

fof(f1361,plain,
    ! [X0] :
      ( nil = sK58(X0)
      | sK58(X0) = cons(sK23(sK58(X0)),sK22(sK58(X0)))
      | sP16(X0) ),
    inference(resolution,[],[f460,f544]) ).

fof(f1360,plain,
    ! [X0] :
      ( nil = sK55(X0)
      | sK55(X0) = cons(sK23(sK55(X0)),sK22(sK55(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f460,f535]) ).

fof(f1359,plain,
    ! [X0] :
      ( nil = sK54(X0)
      | sK54(X0) = cons(sK23(sK54(X0)),sK22(sK54(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f460,f534]) ).

fof(f1358,plain,
    ! [X0] :
      ( nil = sK53(X0)
      | sK53(X0) = cons(sK23(sK53(X0)),sK22(sK53(X0)))
      | sP14(X0) ),
    inference(resolution,[],[f460,f533]) ).

fof(f1357,plain,
    ! [X0] :
      ( nil = sK50(X0)
      | sK50(X0) = cons(sK23(sK50(X0)),sK22(sK50(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f460,f523]) ).

fof(f1356,plain,
    ! [X0] :
      ( nil = sK49(X0)
      | sK49(X0) = cons(sK23(sK49(X0)),sK22(sK49(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f460,f522]) ).

fof(f1355,plain,
    ! [X0] :
      ( nil = sK48(X0)
      | sK48(X0) = cons(sK23(sK48(X0)),sK22(sK48(X0)))
      | sP12(X0) ),
    inference(resolution,[],[f460,f521]) ).

fof(f1354,plain,
    ! [X0] :
      ( nil = sK45(X0)
      | sK45(X0) = cons(sK23(sK45(X0)),sK22(sK45(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f460,f511]) ).

fof(f1353,plain,
    ! [X0] :
      ( nil = sK44(X0)
      | sK44(X0) = cons(sK23(sK44(X0)),sK22(sK44(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f460,f510]) ).

fof(f1352,plain,
    ! [X0] :
      ( nil = sK43(X0)
      | sK43(X0) = cons(sK23(sK43(X0)),sK22(sK43(X0)))
      | sP10(X0) ),
    inference(resolution,[],[f460,f509]) ).

fof(f1351,plain,
    ! [X0] :
      ( nil = sK40(X0)
      | sK40(X0) = cons(sK23(sK40(X0)),sK22(sK40(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f460,f499]) ).

fof(f1350,plain,
    ! [X0] :
      ( nil = sK39(X0)
      | sK39(X0) = cons(sK23(sK39(X0)),sK22(sK39(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f460,f498]) ).

fof(f1349,plain,
    ! [X0] :
      ( nil = sK38(X0)
      | sK38(X0) = cons(sK23(sK38(X0)),sK22(sK38(X0)))
      | sP8(X0) ),
    inference(resolution,[],[f460,f497]) ).

fof(f1348,plain,
    ! [X0] :
      ( nil = sK35(X0)
      | sK35(X0) = cons(sK23(sK35(X0)),sK22(sK35(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f460,f488]) ).

fof(f1347,plain,
    ! [X0] :
      ( nil = sK34(X0)
      | sK34(X0) = cons(sK23(sK34(X0)),sK22(sK34(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f460,f487]) ).

fof(f1346,plain,
    ! [X0] :
      ( nil = sK33(X0)
      | sK33(X0) = cons(sK23(sK33(X0)),sK22(sK33(X0)))
      | sP6(X0) ),
    inference(resolution,[],[f460,f486]) ).

fof(f1345,plain,
    ! [X0] :
      ( nil = sK30(X0)
      | sK30(X0) = cons(sK23(sK30(X0)),sK22(sK30(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f460,f477]) ).

fof(f1344,plain,
    ! [X0] :
      ( nil = sK29(X0)
      | sK29(X0) = cons(sK23(sK29(X0)),sK22(sK29(X0)))
      | sP4(X0) ),
    inference(resolution,[],[f460,f476]) ).

fof(f1343,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | sK25(X0) = cons(sK23(sK25(X0)),sK22(sK25(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f460,f466]) ).

fof(f1342,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | sK22(X0) = cons(sK23(sK22(X0)),sK22(sK22(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f460,f458]) ).

fof(f1375,plain,
    ( sK19 = cons(sK23(sK19),sK22(sK19))
    | spl69_1 ),
    inference(forward_demodulation,[],[f1374,f379]) ).

fof(f1374,plain,
    ( sK21 = cons(sK23(sK21),sK22(sK21))
    | spl69_1 ),
    inference(subsumption_resolution,[],[f1373,f647]) ).

fof(f1373,plain,
    ( nil = sK19
    | sK21 = cons(sK23(sK21),sK22(sK21)) ),
    inference(forward_demodulation,[],[f1341,f379]) ).

fof(f1341,plain,
    ( nil = sK21
    | sK21 = cons(sK23(sK21),sK22(sK21)) ),
    inference(resolution,[],[f460,f378]) ).

fof(f1337,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(X0) = cons(sK23(tl(X0)),sK22(tl(X0)))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f460,f462]) ).

fof(f1335,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,[],[f460,f566]) ).

fof(f1370,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = cons(sK23(cons(X0,X1)),sK22(cons(X0,X1)))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f1334,f557]) ).

fof(f1334,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,[],[f460,f556]) ).

fof(f1321,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK57(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1166,f439]) ).

fof(f1166,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK19 = tl(cons(sK57(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1001,f661]) ).

fof(f1317,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK56(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(resolution,[],[f1165,f439]) ).

fof(f1165,plain,
    ! [X0] :
      ( strictorderedP(X0)
      | sK19 = tl(cons(sK56(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f1000,f661]) ).

fof(f1316,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK52(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1164,f431]) ).

fof(f1164,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK19 = tl(cons(sK52(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f999,f659]) ).

fof(f1315,plain,
    ! [X0,X1] :
      ( sK19 = tl(cons(sK51(cons(X0,X1)),sK19))
      | ~ ssList(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(resolution,[],[f1163,f431]) ).

fof(f1163,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | sK19 = tl(cons(sK51(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f998,f659]) ).

fof(f1305,plain,
    ! [X0] :
      ( ~ lt(X0,sK68)
      | sP2(cons(sK68,sK19),X0)
      | ~ strictorderedP(cons(sK68,sK19))
      | nil = cons(sK68,sK19) ),
    inference(superposition,[],[f445,f1083]) ).

fof(f1304,plain,
    ! [X0] :
      ( ~ lt(X0,sK67)
      | sP2(cons(sK67,sK19),X0)
      | ~ strictorderedP(cons(sK67,sK19))
      | nil = cons(sK67,sK19) ),
    inference(superposition,[],[f445,f1082]) ).

fof(f445,plain,
    ! [X0,X1] :
      ( ~ lt(X1,hd(X0))
      | sP2(X0,X1)
      | ~ strictorderedP(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f272]) ).

fof(f272,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,[],[f271]) ).

fof(f271,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,[],[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(nnf_transformation,[],[f227]) ).

fof(f227,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(f1298,plain,
    ! [X0] :
      ( sK19 = tl(cons(sK26(cons(X0,nil)),sK19))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f1297]) ).

fof(f1297,plain,
    ! [X0] :
      ( sK19 = tl(cons(sK26(cons(X0,nil)),sK19))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(resolution,[],[f987,f611]) ).

fof(f987,plain,
    ! [X0] :
      ( ~ singletonP(X0)
      | sK19 = tl(cons(sK26(X0),sK19))
      | ~ ssList(X0) ),
    inference(resolution,[],[f935,f468]) ).

fof(f1279,plain,
    ! [X0] :
      ( sK26(X0) = hd(cons(sK26(X0),nil))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1008,f468]) ).

fof(f1278,plain,
    ! [X0] :
      ( sK24(X0) = hd(cons(sK24(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1008,f464]) ).

fof(f1277,plain,
    ! [X0] :
      ( sK23(X0) = hd(cons(sK23(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1008,f459]) ).

fof(f1276,plain,
    ! [X0] :
      ( hd(X0) = hd(cons(hd(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1008,f461]) ).

fof(f1008,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,nil)) = X0 ),
    inference(resolution,[],[f560,f394]) ).

fof(f1259,plain,
    ! [X0] :
      ( nil = tl(cons(sK26(X0),nil))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f932,f468]) ).

fof(f1258,plain,
    ! [X0] :
      ( nil = tl(cons(sK24(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f932,f464]) ).

fof(f1257,plain,
    ! [X0] :
      ( nil = tl(cons(sK23(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f932,f459]) ).

fof(f1256,plain,
    ! [X0] :
      ( nil = tl(cons(hd(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f932,f461]) ).

fof(f932,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | nil = tl(cons(X0,nil)) ),
    inference(resolution,[],[f559,f394]) ).

fof(f1242,plain,
    ! [X0] :
      ( ~ leq(X0,sK68)
      | sP0(cons(sK68,sK19),X0)
      | ~ totalorderedP(cons(sK68,sK19))
      | nil = cons(sK68,sK19) ),
    inference(superposition,[],[f437,f1083]) ).

fof(f1241,plain,
    ! [X0] :
      ( ~ leq(X0,sK67)
      | sP0(cons(sK67,sK19),X0)
      | ~ totalorderedP(cons(sK67,sK19))
      | nil = cons(sK67,sK19) ),
    inference(superposition,[],[f437,f1082]) ).

fof(f1238,plain,
    ! [X0] :
      ( sP0(X0,hd(X0))
      | ~ totalorderedP(X0)
      | nil = X0
      | ~ ssItem(hd(X0)) ),
    inference(resolution,[],[f437,f398]) ).

fof(f437,plain,
    ! [X0,X1] :
      ( ~ leq(X1,hd(X0))
      | sP0(X0,X1)
      | ~ totalorderedP(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,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,[],[f267]) ).

fof(f267,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,[],[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(nnf_transformation,[],[f224]) ).

fof(f224,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(f1081,plain,
    ! [X0] :
      ( sP16(X0)
      | sK57(X0) = hd(cons(sK57(X0),sK19)) ),
    inference(resolution,[],[f1011,f543]) ).

fof(f1080,plain,
    ! [X0] :
      ( sP16(X0)
      | sK56(X0) = hd(cons(sK56(X0),sK19)) ),
    inference(resolution,[],[f1011,f542]) ).

fof(f1079,plain,
    ! [X0] :
      ( sP14(X0)
      | sK52(X0) = hd(cons(sK52(X0),sK19)) ),
    inference(resolution,[],[f1011,f532]) ).

fof(f1233,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK66(X0,X1) = app(sK66(X0,X1),nil) ),
    inference(resolution,[],[f582,f456]) ).

fof(f1232,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK66(X0,X1) = app(nil,sK66(X0,X1)) ),
    inference(resolution,[],[f582,f457]) ).

fof(f1231,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK66(X0,X1)
      | hd(sK66(X0,X1)) = sK24(sK66(X0,X1)) ),
    inference(resolution,[],[f582,f465]) ).

fof(f1230,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK66(X0,X1)
      | tl(sK66(X0,X1)) = sK25(sK66(X0,X1)) ),
    inference(resolution,[],[f582,f467]) ).

fof(f1229,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) ),
    inference(resolution,[],[f582,f559]) ).

fof(f1228,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK66(X0,X1))) = X2 ),
    inference(resolution,[],[f582,f560]) ).

fof(f582,plain,
    ! [X0,X1] :
      ( ssList(sK66(X0,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f369]) ).

fof(f1078,plain,
    ! [X0] :
      ( sP14(X0)
      | sK51(X0) = hd(cons(sK51(X0),sK19)) ),
    inference(resolution,[],[f1011,f531]) ).

fof(f1077,plain,
    ! [X0] :
      ( sP12(X0)
      | sK47(X0) = hd(cons(sK47(X0),sK19)) ),
    inference(resolution,[],[f1011,f520]) ).

fof(f1076,plain,
    ! [X0] :
      ( sP12(X0)
      | sK46(X0) = hd(cons(sK46(X0),sK19)) ),
    inference(resolution,[],[f1011,f519]) ).

fof(f1075,plain,
    ! [X0] :
      ( sP10(X0)
      | sK42(X0) = hd(cons(sK42(X0),sK19)) ),
    inference(resolution,[],[f1011,f508]) ).

fof(f1074,plain,
    ! [X0] :
      ( sP10(X0)
      | sK41(X0) = hd(cons(sK41(X0),sK19)) ),
    inference(resolution,[],[f1011,f507]) ).

fof(f1073,plain,
    ! [X0] :
      ( sP8(X0)
      | sK37(X0) = hd(cons(sK37(X0),sK19)) ),
    inference(resolution,[],[f1011,f496]) ).

fof(f1072,plain,
    ! [X0] :
      ( sP8(X0)
      | sK36(X0) = hd(cons(sK36(X0),sK19)) ),
    inference(resolution,[],[f1011,f495]) ).

fof(f1071,plain,
    ! [X0] :
      ( sP6(X0)
      | sK32(X0) = hd(cons(sK32(X0),sK19)) ),
    inference(resolution,[],[f1011,f485]) ).

fof(f1070,plain,
    ! [X0] :
      ( sP6(X0)
      | sK31(X0) = hd(cons(sK31(X0),sK19)) ),
    inference(resolution,[],[f1011,f484]) ).

fof(f1069,plain,
    ! [X0] :
      ( sP4(X0)
      | sK28(X0) = hd(cons(sK28(X0),sK19)) ),
    inference(resolution,[],[f1011,f475]) ).

fof(f1068,plain,
    ! [X0] :
      ( sP4(X0)
      | sK27(X0) = hd(cons(sK27(X0),sK19)) ),
    inference(resolution,[],[f1011,f474]) ).

fof(f1226,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK65(X0,X1) = app(sK65(X0,X1),nil) ),
    inference(resolution,[],[f579,f456]) ).

fof(f1225,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK65(X0,X1) = app(nil,sK65(X0,X1)) ),
    inference(resolution,[],[f579,f457]) ).

fof(f1224,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK65(X0,X1)
      | hd(sK65(X0,X1)) = sK24(sK65(X0,X1)) ),
    inference(resolution,[],[f579,f465]) ).

fof(f1223,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK65(X0,X1)
      | tl(sK65(X0,X1)) = sK25(sK65(X0,X1)) ),
    inference(resolution,[],[f579,f467]) ).

fof(f1222,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) ),
    inference(resolution,[],[f579,f559]) ).

fof(f1221,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK65(X0,X1))) = X2 ),
    inference(resolution,[],[f579,f560]) ).

fof(f579,plain,
    ! [X0,X1] :
      ( ssList(sK65(X0,X1))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f365]) ).

fof(f1209,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK64(X0,X1) = app(sK64(X0,X1),nil) ),
    inference(resolution,[],[f578,f456]) ).

fof(f1208,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK64(X0,X1) = app(nil,sK64(X0,X1)) ),
    inference(resolution,[],[f578,f457]) ).

fof(f1207,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK64(X0,X1)
      | hd(sK64(X0,X1)) = sK24(sK64(X0,X1)) ),
    inference(resolution,[],[f578,f465]) ).

fof(f1206,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK64(X0,X1)
      | tl(sK64(X0,X1)) = sK25(sK64(X0,X1)) ),
    inference(resolution,[],[f578,f467]) ).

fof(f1205,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) ),
    inference(resolution,[],[f578,f559]) ).

fof(f1204,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK64(X0,X1))) = X2 ),
    inference(resolution,[],[f578,f560]) ).

fof(f578,plain,
    ! [X0,X1] :
      ( ssList(sK64(X0,X1))
      | ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f365]) ).

fof(f1173,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK63(X0,X1) = app(sK63(X0,X1),nil) ),
    inference(resolution,[],[f575,f456]) ).

fof(f1172,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sK63(X0,X1) = app(nil,sK63(X0,X1)) ),
    inference(resolution,[],[f575,f457]) ).

fof(f1171,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK63(X0,X1)
      | hd(sK63(X0,X1)) = sK24(sK63(X0,X1)) ),
    inference(resolution,[],[f575,f465]) ).

fof(f1170,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = sK63(X0,X1)
      | tl(sK63(X0,X1)) = sK25(sK63(X0,X1)) ),
    inference(resolution,[],[f575,f467]) ).

fof(f1169,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK63(X0,X1) = tl(cons(X2,sK63(X0,X1))) ),
    inference(resolution,[],[f575,f559]) ).

fof(f1168,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK63(X0,X1))) = X2 ),
    inference(resolution,[],[f575,f560]) ).

fof(f575,plain,
    ! [X0,X1] :
      ( ssList(sK63(X0,X1))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f360]) ).

fof(f1001,plain,
    ! [X0] :
      ( sP16(X0)
      | sK19 = tl(cons(sK57(X0),sK19)) ),
    inference(resolution,[],[f935,f543]) ).

fof(f1000,plain,
    ! [X0] :
      ( sP16(X0)
      | sK19 = tl(cons(sK56(X0),sK19)) ),
    inference(resolution,[],[f935,f542]) ).

fof(f999,plain,
    ! [X0] :
      ( sP14(X0)
      | sK19 = tl(cons(sK52(X0),sK19)) ),
    inference(resolution,[],[f935,f532]) ).

fof(f998,plain,
    ! [X0] :
      ( sP14(X0)
      | sK19 = tl(cons(sK51(X0),sK19)) ),
    inference(resolution,[],[f935,f531]) ).

fof(f1162,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK62(X0,X1) = app(sK62(X0,X1),nil) ),
    inference(resolution,[],[f563,f456]) ).

fof(f1161,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK62(X0,X1) = app(nil,sK62(X0,X1)) ),
    inference(resolution,[],[f563,f457]) ).

fof(f1160,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | nil = sK62(X0,X1)
      | hd(sK62(X0,X1)) = sK24(sK62(X0,X1)) ),
    inference(resolution,[],[f563,f465]) ).

fof(f1159,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | nil = sK62(X0,X1)
      | tl(sK62(X0,X1)) = sK25(sK62(X0,X1)) ),
    inference(resolution,[],[f563,f467]) ).

fof(f1158,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK62(X0,X1) = tl(cons(X2,sK62(X0,X1))) ),
    inference(resolution,[],[f563,f559]) ).

fof(f1157,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK62(X0,X1))) = X2 ),
    inference(resolution,[],[f563,f560]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( ssList(sK62(X0,X1))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f997,plain,
    ! [X0] :
      ( sP12(X0)
      | sK19 = tl(cons(sK47(X0),sK19)) ),
    inference(resolution,[],[f935,f520]) ).

fof(f996,plain,
    ! [X0] :
      ( sP12(X0)
      | sK19 = tl(cons(sK46(X0),sK19)) ),
    inference(resolution,[],[f935,f519]) ).

fof(f995,plain,
    ! [X0] :
      ( sP10(X0)
      | sK19 = tl(cons(sK42(X0),sK19)) ),
    inference(resolution,[],[f935,f508]) ).

fof(f994,plain,
    ! [X0] :
      ( sP10(X0)
      | sK19 = tl(cons(sK41(X0),sK19)) ),
    inference(resolution,[],[f935,f507]) ).

fof(f993,plain,
    ! [X0] :
      ( sP8(X0)
      | sK19 = tl(cons(sK37(X0),sK19)) ),
    inference(resolution,[],[f935,f496]) ).

fof(f992,plain,
    ! [X0] :
      ( sP8(X0)
      | sK19 = tl(cons(sK36(X0),sK19)) ),
    inference(resolution,[],[f935,f495]) ).

fof(f991,plain,
    ! [X0] :
      ( sP6(X0)
      | sK19 = tl(cons(sK32(X0),sK19)) ),
    inference(resolution,[],[f935,f485]) ).

fof(f990,plain,
    ! [X0] :
      ( sP6(X0)
      | sK19 = tl(cons(sK31(X0),sK19)) ),
    inference(resolution,[],[f935,f484]) ).

fof(f989,plain,
    ! [X0] :
      ( sP4(X0)
      | sK19 = tl(cons(sK28(X0),sK19)) ),
    inference(resolution,[],[f935,f475]) ).

fof(f988,plain,
    ! [X0] :
      ( sP4(X0)
      | sK19 = tl(cons(sK27(X0),sK19)) ),
    inference(resolution,[],[f935,f474]) ).

fof(f1155,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK61(X0,X1) = app(sK61(X0,X1),nil) ),
    inference(resolution,[],[f562,f456]) ).

fof(f1154,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | sK61(X0,X1) = app(nil,sK61(X0,X1)) ),
    inference(resolution,[],[f562,f457]) ).

fof(f1153,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | nil = sK61(X0,X1)
      | hd(sK61(X0,X1)) = sK24(sK61(X0,X1)) ),
    inference(resolution,[],[f562,f465]) ).

fof(f1152,plain,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | nil = sK61(X0,X1)
      | tl(sK61(X0,X1)) = sK25(sK61(X0,X1)) ),
    inference(resolution,[],[f562,f467]) ).

fof(f1151,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | sK61(X0,X1) = tl(cons(X2,sK61(X0,X1))) ),
    inference(resolution,[],[f562,f559]) ).

fof(f1150,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | hd(cons(X2,sK61(X0,X1))) = X2 ),
    inference(resolution,[],[f562,f560]) ).

fof(f562,plain,
    ! [X0,X1] :
      ( ssList(sK61(X0,X1))
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f1134,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | cons(X0,nil) = cons(sK26(cons(X0,nil)),nil) ),
    inference(duplicate_literal_removal,[],[f1133]) ).

fof(f1133,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | cons(X0,nil) = cons(sK26(cons(X0,nil)),nil)
      | ~ ssList(cons(X0,nil)) ),
    inference(resolution,[],[f611,f469]) ).

fof(f611,plain,
    ! [X1] :
      ( singletonP(cons(X1,nil))
      | ~ ssItem(X1)
      | ~ ssList(cons(X1,nil)) ),
    inference(equality_resolution,[],[f470]) ).

fof(f470,plain,
    ! [X0,X1] :
      ( singletonP(X0)
      | cons(X1,nil) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f285,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])],[f283,f284]) ).

fof(f284,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,nil) = X0
          & ssItem(X2) )
     => ( cons(sK26(X0),nil) = X0
        & ssItem(sK26(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f283,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ? [X2] :
              ( cons(X2,nil) = X0
              & ssItem(X2) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f282]) ).

fof(f282,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,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f852,plain,
    ( nil = sK18
    | hd(sK18) = sK24(sK18) ),
    inference(resolution,[],[f465,f375]) ).

fof(f1109,plain,
    ( hd(sK18) = sK24(sK18)
    | nil = sK18 ),
    inference(forward_demodulation,[],[f881,f380]) ).

fof(f881,plain,
    ( nil = sK18
    | hd(sK20) = sK24(sK20) ),
    inference(forward_demodulation,[],[f854,f380]) ).

fof(f854,plain,
    ( nil = sK20
    | hd(sK20) = sK24(sK20) ),
    inference(resolution,[],[f465,f377]) ).

fof(f893,plain,
    ( nil = sK18
    | tl(sK18) = sK25(sK18) ),
    inference(resolution,[],[f467,f375]) ).

fof(f1106,plain,
    ( tl(sK18) = sK25(sK18)
    | nil = sK18 ),
    inference(forward_demodulation,[],[f922,f380]) ).

fof(f922,plain,
    ( nil = sK18
    | tl(sK20) = sK25(sK20) ),
    inference(forward_demodulation,[],[f895,f380]) ).

fof(f895,plain,
    ( nil = sK20
    | tl(sK20) = sK25(sK20) ),
    inference(resolution,[],[f467,f377]) ).

fof(f969,plain,
    ! [X0] :
      ( sP6(X0)
      | sK18 = tl(cons(sK32(X0),sK18)) ),
    inference(resolution,[],[f934,f485]) ).

fof(f968,plain,
    ! [X0] :
      ( sP6(X0)
      | sK18 = tl(cons(sK31(X0),sK18)) ),
    inference(resolution,[],[f934,f484]) ).

fof(f967,plain,
    ! [X0] :
      ( sP4(X0)
      | sK18 = tl(cons(sK28(X0),sK18)) ),
    inference(resolution,[],[f934,f475]) ).

fof(f1088,plain,
    ! [X0] :
      ( leq(X0,sK68)
      | nil = cons(sK68,sK19)
      | ~ sP0(cons(sK68,sK19),X0) ),
    inference(superposition,[],[f435,f1083]) ).

fof(f1087,plain,
    ! [X0] :
      ( lt(X0,sK68)
      | nil = cons(sK68,sK19)
      | ~ sP2(cons(sK68,sK19),X0) ),
    inference(superposition,[],[f443,f1083]) ).

fof(f1083,plain,
    sK68 = hd(cons(sK68,sK19)),
    inference(resolution,[],[f1011,f601]) ).

fof(f1085,plain,
    ! [X0] :
      ( leq(X0,sK67)
      | nil = cons(sK67,sK19)
      | ~ sP0(cons(sK67,sK19),X0) ),
    inference(superposition,[],[f435,f1082]) ).

fof(f1084,plain,
    ! [X0] :
      ( lt(X0,sK67)
      | nil = cons(sK67,sK19)
      | ~ sP2(cons(sK67,sK19),X0) ),
    inference(superposition,[],[f443,f1082]) ).

fof(f1082,plain,
    sK67 = hd(cons(sK67,sK19)),
    inference(resolution,[],[f1011,f600]) ).

fof(f1066,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK24(X0) = hd(cons(sK24(X0),sK19)) ),
    inference(resolution,[],[f1011,f464]) ).

fof(f1065,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK23(X0) = hd(cons(sK23(X0),sK19)) ),
    inference(resolution,[],[f1011,f459]) ).

fof(f1064,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | hd(X0) = hd(cons(hd(X0),sK19)) ),
    inference(resolution,[],[f1011,f461]) ).

fof(f1011,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK19)) = X0 ),
    inference(resolution,[],[f560,f376]) ).

fof(f1062,plain,
    ! [X0] :
      ( leq(X0,sK68)
      | nil = cons(sK68,sK18)
      | ~ sP0(cons(sK68,sK18),X0) ),
    inference(superposition,[],[f435,f1057]) ).

fof(f1061,plain,
    ! [X0] :
      ( lt(X0,sK68)
      | nil = cons(sK68,sK18)
      | ~ sP2(cons(sK68,sK18),X0) ),
    inference(superposition,[],[f443,f1057]) ).

fof(f1057,plain,
    sK68 = hd(cons(sK68,sK18)),
    inference(resolution,[],[f1010,f601]) ).

fof(f1059,plain,
    ! [X0] :
      ( leq(X0,sK67)
      | nil = cons(sK67,sK18)
      | ~ sP0(cons(sK67,sK18),X0) ),
    inference(superposition,[],[f435,f1056]) ).

fof(f1058,plain,
    ! [X0] :
      ( lt(X0,sK67)
      | nil = cons(sK67,sK18)
      | ~ sP2(cons(sK67,sK18),X0) ),
    inference(superposition,[],[f443,f1056]) ).

fof(f1056,plain,
    sK67 = hd(cons(sK67,sK18)),
    inference(resolution,[],[f1010,f600]) ).

fof(f1055,plain,
    ! [X0] :
      ( sK57(X0) = hd(cons(sK57(X0),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f1010,f543]) ).

fof(f1054,plain,
    ! [X0] :
      ( sK56(X0) = hd(cons(sK56(X0),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f1010,f542]) ).

fof(f1053,plain,
    ! [X0] :
      ( sK52(X0) = hd(cons(sK52(X0),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f1010,f532]) ).

fof(f1052,plain,
    ! [X0] :
      ( sK51(X0) = hd(cons(sK51(X0),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f1010,f531]) ).

fof(f1051,plain,
    ! [X0] :
      ( sK47(X0) = hd(cons(sK47(X0),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f1010,f520]) ).

fof(f1050,plain,
    ! [X0] :
      ( sK46(X0) = hd(cons(sK46(X0),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f1010,f519]) ).

fof(f1049,plain,
    ! [X0] :
      ( sK42(X0) = hd(cons(sK42(X0),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f1010,f508]) ).

fof(f1048,plain,
    ! [X0] :
      ( sK41(X0) = hd(cons(sK41(X0),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f1010,f507]) ).

fof(f1047,plain,
    ! [X0] :
      ( sK37(X0) = hd(cons(sK37(X0),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f1010,f496]) ).

fof(f1046,plain,
    ! [X0] :
      ( sK36(X0) = hd(cons(sK36(X0),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f1010,f495]) ).

fof(f1045,plain,
    ! [X0] :
      ( sK32(X0) = hd(cons(sK32(X0),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f1010,f485]) ).

fof(f1044,plain,
    ! [X0] :
      ( sK31(X0) = hd(cons(sK31(X0),sK18))
      | sP6(X0) ),
    inference(resolution,[],[f1010,f484]) ).

fof(f1043,plain,
    ! [X0] :
      ( sK28(X0) = hd(cons(sK28(X0),sK18))
      | sP4(X0) ),
    inference(resolution,[],[f1010,f475]) ).

fof(f1042,plain,
    ! [X0] :
      ( sK27(X0) = hd(cons(sK27(X0),sK18))
      | sP4(X0) ),
    inference(resolution,[],[f1010,f474]) ).

fof(f1041,plain,
    ! [X0] :
      ( sK26(X0) = hd(cons(sK26(X0),sK18))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f1010,f468]) ).

fof(f1040,plain,
    ! [X0] :
      ( sK24(X0) = hd(cons(sK24(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1010,f464]) ).

fof(f1039,plain,
    ! [X0] :
      ( sK23(X0) = hd(cons(sK23(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1010,f459]) ).

fof(f1038,plain,
    ! [X0] :
      ( hd(X0) = hd(cons(hd(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f1010,f461]) ).

fof(f1010,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK18)) = X0 ),
    inference(resolution,[],[f560,f375]) ).

fof(f1035,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK60(X1))) = X0
      | sP16(X1) ),
    inference(resolution,[],[f560,f546]) ).

fof(f1034,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK59(X1))) = X0
      | sP16(X1) ),
    inference(resolution,[],[f560,f545]) ).

fof(f1033,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK58(X1))) = X0
      | sP16(X1) ),
    inference(resolution,[],[f560,f544]) ).

fof(f1032,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK55(X1))) = X0
      | sP14(X1) ),
    inference(resolution,[],[f560,f535]) ).

fof(f1031,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK54(X1))) = X0
      | sP14(X1) ),
    inference(resolution,[],[f560,f534]) ).

fof(f1030,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK53(X1))) = X0
      | sP14(X1) ),
    inference(resolution,[],[f560,f533]) ).

fof(f1029,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK50(X1))) = X0
      | sP12(X1) ),
    inference(resolution,[],[f560,f523]) ).

fof(f1028,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK49(X1))) = X0
      | sP12(X1) ),
    inference(resolution,[],[f560,f522]) ).

fof(f1027,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK48(X1))) = X0
      | sP12(X1) ),
    inference(resolution,[],[f560,f521]) ).

fof(f1026,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK45(X1))) = X0
      | sP10(X1) ),
    inference(resolution,[],[f560,f511]) ).

fof(f1025,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK44(X1))) = X0
      | sP10(X1) ),
    inference(resolution,[],[f560,f510]) ).

fof(f1024,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK43(X1))) = X0
      | sP10(X1) ),
    inference(resolution,[],[f560,f509]) ).

fof(f1023,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK40(X1))) = X0
      | sP8(X1) ),
    inference(resolution,[],[f560,f499]) ).

fof(f1022,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK39(X1))) = X0
      | sP8(X1) ),
    inference(resolution,[],[f560,f498]) ).

fof(f1021,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK38(X1))) = X0
      | sP8(X1) ),
    inference(resolution,[],[f560,f497]) ).

fof(f1020,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK35(X1))) = X0
      | sP6(X1) ),
    inference(resolution,[],[f560,f488]) ).

fof(f1019,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK34(X1))) = X0
      | sP6(X1) ),
    inference(resolution,[],[f560,f487]) ).

fof(f1018,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK33(X1))) = X0
      | sP6(X1) ),
    inference(resolution,[],[f560,f486]) ).

fof(f1017,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK30(X1))) = X0
      | sP4(X1) ),
    inference(resolution,[],[f560,f477]) ).

fof(f1016,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK29(X1))) = X0
      | sP4(X1) ),
    inference(resolution,[],[f560,f476]) ).

fof(f1015,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK25(X1))) = X0
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f466]) ).

fof(f1014,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK22(X1))) = X0
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f458]) ).

fof(f1037,plain,
    ! [X0] :
      ( hd(cons(X0,sK19)) = X0
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[],[f1013,f379]) ).

fof(f1013,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK21)) = X0 ),
    inference(resolution,[],[f560,f378]) ).

fof(f1036,plain,
    ! [X0] :
      ( hd(cons(X0,sK18)) = X0
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[],[f1012,f380]) ).

fof(f1012,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | hd(cons(X0,sK20)) = X0 ),
    inference(resolution,[],[f560,f377]) ).

fof(f1009,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,tl(X1))) = X0
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f462]) ).

fof(f1007,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,app(X1,X2))) = X0
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f560,f566]) ).

fof(f1006,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,cons(X1,X2))) = X0
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f560,f556]) ).

fof(f966,plain,
    ! [X0] :
      ( sP4(X0)
      | sK18 = tl(cons(sK27(X0),sK18)) ),
    inference(resolution,[],[f934,f474]) ).

fof(f1003,plain,
    sK19 = tl(cons(sK68,sK19)),
    inference(resolution,[],[f935,f601]) ).

fof(f1002,plain,
    sK19 = tl(cons(sK67,sK19)),
    inference(resolution,[],[f935,f600]) ).

fof(f935,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | sK19 = tl(cons(X0,sK19)) ),
    inference(resolution,[],[f559,f376]) ).

fof(f981,plain,
    sK18 = tl(cons(sK68,sK18)),
    inference(resolution,[],[f934,f601]) ).

fof(f980,plain,
    sK18 = tl(cons(sK67,sK18)),
    inference(resolution,[],[f934,f600]) ).

fof(f979,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK57(X0),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f934,f543]) ).

fof(f978,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK56(X0),sK18))
      | sP16(X0) ),
    inference(resolution,[],[f934,f542]) ).

fof(f977,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK52(X0),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f934,f532]) ).

fof(f976,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK51(X0),sK18))
      | sP14(X0) ),
    inference(resolution,[],[f934,f531]) ).

fof(f975,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK47(X0),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f934,f520]) ).

fof(f974,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK46(X0),sK18))
      | sP12(X0) ),
    inference(resolution,[],[f934,f519]) ).

fof(f973,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK42(X0),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f934,f508]) ).

fof(f972,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK41(X0),sK18))
      | sP10(X0) ),
    inference(resolution,[],[f934,f507]) ).

fof(f971,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK37(X0),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f934,f496]) ).

fof(f970,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK36(X0),sK18))
      | sP8(X0) ),
    inference(resolution,[],[f934,f495]) ).

fof(f965,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK26(X0),sK18))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f934,f468]) ).

fof(f964,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK24(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f934,f464]) ).

fof(f963,plain,
    ! [X0] :
      ( sK18 = tl(cons(sK23(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f934,f459]) ).

fof(f962,plain,
    ! [X0] :
      ( sK18 = tl(cons(hd(X0),sK18))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f934,f461]) ).

fof(f934,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | sK18 = tl(cons(X0,sK18)) ),
    inference(resolution,[],[f559,f375]) ).

fof(f959,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK60(X1) = tl(cons(X0,sK60(X1)))
      | sP16(X1) ),
    inference(resolution,[],[f559,f546]) ).

fof(f958,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK59(X1) = tl(cons(X0,sK59(X1)))
      | sP16(X1) ),
    inference(resolution,[],[f559,f545]) ).

fof(f957,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK58(X1) = tl(cons(X0,sK58(X1)))
      | sP16(X1) ),
    inference(resolution,[],[f559,f544]) ).

fof(f956,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK55(X1) = tl(cons(X0,sK55(X1)))
      | sP14(X1) ),
    inference(resolution,[],[f559,f535]) ).

fof(f955,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK54(X1) = tl(cons(X0,sK54(X1)))
      | sP14(X1) ),
    inference(resolution,[],[f559,f534]) ).

fof(f954,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK53(X1) = tl(cons(X0,sK53(X1)))
      | sP14(X1) ),
    inference(resolution,[],[f559,f533]) ).

fof(f953,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK50(X1) = tl(cons(X0,sK50(X1)))
      | sP12(X1) ),
    inference(resolution,[],[f559,f523]) ).

fof(f952,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK49(X1) = tl(cons(X0,sK49(X1)))
      | sP12(X1) ),
    inference(resolution,[],[f559,f522]) ).

fof(f951,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK48(X1) = tl(cons(X0,sK48(X1)))
      | sP12(X1) ),
    inference(resolution,[],[f559,f521]) ).

fof(f950,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK45(X1) = tl(cons(X0,sK45(X1)))
      | sP10(X1) ),
    inference(resolution,[],[f559,f511]) ).

fof(f949,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK44(X1) = tl(cons(X0,sK44(X1)))
      | sP10(X1) ),
    inference(resolution,[],[f559,f510]) ).

fof(f948,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK43(X1) = tl(cons(X0,sK43(X1)))
      | sP10(X1) ),
    inference(resolution,[],[f559,f509]) ).

fof(f947,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK40(X1) = tl(cons(X0,sK40(X1)))
      | sP8(X1) ),
    inference(resolution,[],[f559,f499]) ).

fof(f946,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK39(X1) = tl(cons(X0,sK39(X1)))
      | sP8(X1) ),
    inference(resolution,[],[f559,f498]) ).

fof(f945,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK38(X1) = tl(cons(X0,sK38(X1)))
      | sP8(X1) ),
    inference(resolution,[],[f559,f497]) ).

fof(f944,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK35(X1) = tl(cons(X0,sK35(X1)))
      | sP6(X1) ),
    inference(resolution,[],[f559,f488]) ).

fof(f943,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK34(X1) = tl(cons(X0,sK34(X1)))
      | sP6(X1) ),
    inference(resolution,[],[f559,f487]) ).

fof(f942,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK33(X1) = tl(cons(X0,sK33(X1)))
      | sP6(X1) ),
    inference(resolution,[],[f559,f486]) ).

fof(f941,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK30(X1) = tl(cons(X0,sK30(X1)))
      | sP4(X1) ),
    inference(resolution,[],[f559,f477]) ).

fof(f940,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK29(X1) = tl(cons(X0,sK29(X1)))
      | sP4(X1) ),
    inference(resolution,[],[f559,f476]) ).

fof(f939,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK25(X1) = tl(cons(X0,sK25(X1)))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f559,f466]) ).

fof(f938,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | sK22(X1) = tl(cons(X0,sK22(X1)))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f559,f458]) ).

fof(f961,plain,
    ! [X0] :
      ( sK19 = tl(cons(X0,sK19))
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[],[f937,f379]) ).

fof(f937,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | sK21 = tl(cons(X0,sK21)) ),
    inference(resolution,[],[f559,f378]) ).

fof(f960,plain,
    ! [X0] :
      ( sK18 = tl(cons(X0,sK18))
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[],[f936,f380]) ).

fof(f936,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | sK20 = tl(cons(X0,sK20)) ),
    inference(resolution,[],[f559,f377]) ).

fof(f933,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | tl(X1) = tl(cons(X0,tl(X1)))
      | nil = X1
      | ~ ssList(X1) ),
    inference(resolution,[],[f559,f462]) ).

fof(f931,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | app(X1,X2) = tl(cons(X0,app(X1,X2)))
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(resolution,[],[f559,f566]) ).

fof(f930,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f559,f556]) ).

fof(f469,plain,
    ! [X0] :
      ( ~ singletonP(X0)
      | cons(sK26(X0),nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f921,plain,
    ( tl(sK19) = sK25(sK19)
    | spl69_1 ),
    inference(subsumption_resolution,[],[f894,f647]) ).

fof(f894,plain,
    ( nil = sK19
    | tl(sK19) = sK25(sK19) ),
    inference(resolution,[],[f467,f376]) ).

fof(f918,plain,
    ! [X0] :
      ( sP16(X0)
      | tl(sK60(X0)) = sK25(sK60(X0))
      | nil = sK60(X0) ),
    inference(resolution,[],[f467,f546]) ).

fof(f917,plain,
    ! [X0] :
      ( sP16(X0)
      | tl(sK59(X0)) = sK25(sK59(X0))
      | nil = sK59(X0) ),
    inference(resolution,[],[f467,f545]) ).

fof(f916,plain,
    ! [X0] :
      ( sP16(X0)
      | tl(sK58(X0)) = sK25(sK58(X0))
      | nil = sK58(X0) ),
    inference(resolution,[],[f467,f544]) ).

fof(f915,plain,
    ! [X0] :
      ( sP14(X0)
      | tl(sK55(X0)) = sK25(sK55(X0))
      | nil = sK55(X0) ),
    inference(resolution,[],[f467,f535]) ).

fof(f914,plain,
    ! [X0] :
      ( sP14(X0)
      | tl(sK54(X0)) = sK25(sK54(X0))
      | nil = sK54(X0) ),
    inference(resolution,[],[f467,f534]) ).

fof(f913,plain,
    ! [X0] :
      ( sP14(X0)
      | tl(sK53(X0)) = sK25(sK53(X0))
      | nil = sK53(X0) ),
    inference(resolution,[],[f467,f533]) ).

fof(f912,plain,
    ! [X0] :
      ( sP12(X0)
      | tl(sK50(X0)) = sK25(sK50(X0))
      | nil = sK50(X0) ),
    inference(resolution,[],[f467,f523]) ).

fof(f911,plain,
    ! [X0] :
      ( sP12(X0)
      | tl(sK49(X0)) = sK25(sK49(X0))
      | nil = sK49(X0) ),
    inference(resolution,[],[f467,f522]) ).

fof(f910,plain,
    ! [X0] :
      ( sP12(X0)
      | tl(sK48(X0)) = sK25(sK48(X0))
      | nil = sK48(X0) ),
    inference(resolution,[],[f467,f521]) ).

fof(f909,plain,
    ! [X0] :
      ( sP10(X0)
      | tl(sK45(X0)) = sK25(sK45(X0))
      | nil = sK45(X0) ),
    inference(resolution,[],[f467,f511]) ).

fof(f908,plain,
    ! [X0] :
      ( sP10(X0)
      | tl(sK44(X0)) = sK25(sK44(X0))
      | nil = sK44(X0) ),
    inference(resolution,[],[f467,f510]) ).

fof(f907,plain,
    ! [X0] :
      ( sP10(X0)
      | tl(sK43(X0)) = sK25(sK43(X0))
      | nil = sK43(X0) ),
    inference(resolution,[],[f467,f509]) ).

fof(f906,plain,
    ! [X0] :
      ( sP8(X0)
      | tl(sK40(X0)) = sK25(sK40(X0))
      | nil = sK40(X0) ),
    inference(resolution,[],[f467,f499]) ).

fof(f905,plain,
    ! [X0] :
      ( sP8(X0)
      | tl(sK39(X0)) = sK25(sK39(X0))
      | nil = sK39(X0) ),
    inference(resolution,[],[f467,f498]) ).

fof(f904,plain,
    ! [X0] :
      ( sP8(X0)
      | tl(sK38(X0)) = sK25(sK38(X0))
      | nil = sK38(X0) ),
    inference(resolution,[],[f467,f497]) ).

fof(f903,plain,
    ! [X0] :
      ( sP6(X0)
      | tl(sK35(X0)) = sK25(sK35(X0))
      | nil = sK35(X0) ),
    inference(resolution,[],[f467,f488]) ).

fof(f902,plain,
    ! [X0] :
      ( sP6(X0)
      | tl(sK34(X0)) = sK25(sK34(X0))
      | nil = sK34(X0) ),
    inference(resolution,[],[f467,f487]) ).

fof(f901,plain,
    ! [X0] :
      ( sP6(X0)
      | tl(sK33(X0)) = sK25(sK33(X0))
      | nil = sK33(X0) ),
    inference(resolution,[],[f467,f486]) ).

fof(f900,plain,
    ! [X0] :
      ( sP4(X0)
      | tl(sK30(X0)) = sK25(sK30(X0))
      | nil = sK30(X0) ),
    inference(resolution,[],[f467,f477]) ).

fof(f899,plain,
    ! [X0] :
      ( sP4(X0)
      | tl(sK29(X0)) = sK25(sK29(X0))
      | nil = sK29(X0) ),
    inference(resolution,[],[f467,f476]) ).

fof(f898,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | tl(sK25(X0)) = sK25(sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f467,f466]) ).

fof(f897,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | tl(sK22(X0)) = sK25(sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f467,f458]) ).

fof(f927,plain,
    ( tl(sK19) = sK25(sK19)
    | spl69_1 ),
    inference(forward_demodulation,[],[f926,f379]) ).

fof(f926,plain,
    ( tl(sK21) = sK25(sK21)
    | spl69_1 ),
    inference(subsumption_resolution,[],[f925,f647]) ).

fof(f925,plain,
    ( nil = sK19
    | tl(sK21) = sK25(sK21) ),
    inference(forward_demodulation,[],[f896,f379]) ).

fof(f896,plain,
    ( nil = sK21
    | tl(sK21) = sK25(sK21) ),
    inference(resolution,[],[f467,f378]) ).

fof(f892,plain,
    ! [X0] :
      ( nil = tl(X0)
      | tl(tl(X0)) = sK25(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f467,f462]) ).

fof(f890,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | tl(app(X0,X1)) = sK25(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f467,f566]) ).

fof(f919,plain,
    ! [X0,X1] :
      ( tl(cons(X0,X1)) = sK25(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f889,f557]) ).

fof(f889,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | tl(cons(X0,X1)) = sK25(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f467,f556]) ).

fof(f467,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | tl(X0) = sK25(X0) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f281,plain,
    ! [X0] :
      ( ( tl(X0) = sK25(X0)
        & ssList(sK25(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f160,f280]) ).

fof(f280,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
     => ( tl(X0) = sK25(X0)
        & ssList(sK25(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ? [X1] :
            ( tl(X0) = X1
            & ssList(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

fof(f880,plain,
    ( hd(sK19) = sK24(sK19)
    | spl69_1 ),
    inference(subsumption_resolution,[],[f853,f647]) ).

fof(f853,plain,
    ( nil = sK19
    | hd(sK19) = sK24(sK19) ),
    inference(resolution,[],[f465,f376]) ).

fof(f877,plain,
    ! [X0] :
      ( sP16(X0)
      | hd(sK60(X0)) = sK24(sK60(X0))
      | nil = sK60(X0) ),
    inference(resolution,[],[f465,f546]) ).

fof(f876,plain,
    ! [X0] :
      ( sP16(X0)
      | hd(sK59(X0)) = sK24(sK59(X0))
      | nil = sK59(X0) ),
    inference(resolution,[],[f465,f545]) ).

fof(f875,plain,
    ! [X0] :
      ( sP16(X0)
      | hd(sK58(X0)) = sK24(sK58(X0))
      | nil = sK58(X0) ),
    inference(resolution,[],[f465,f544]) ).

fof(f874,plain,
    ! [X0] :
      ( sP14(X0)
      | hd(sK55(X0)) = sK24(sK55(X0))
      | nil = sK55(X0) ),
    inference(resolution,[],[f465,f535]) ).

fof(f873,plain,
    ! [X0] :
      ( sP14(X0)
      | hd(sK54(X0)) = sK24(sK54(X0))
      | nil = sK54(X0) ),
    inference(resolution,[],[f465,f534]) ).

fof(f872,plain,
    ! [X0] :
      ( sP14(X0)
      | hd(sK53(X0)) = sK24(sK53(X0))
      | nil = sK53(X0) ),
    inference(resolution,[],[f465,f533]) ).

fof(f871,plain,
    ! [X0] :
      ( sP12(X0)
      | hd(sK50(X0)) = sK24(sK50(X0))
      | nil = sK50(X0) ),
    inference(resolution,[],[f465,f523]) ).

fof(f870,plain,
    ! [X0] :
      ( sP12(X0)
      | hd(sK49(X0)) = sK24(sK49(X0))
      | nil = sK49(X0) ),
    inference(resolution,[],[f465,f522]) ).

fof(f869,plain,
    ! [X0] :
      ( sP12(X0)
      | hd(sK48(X0)) = sK24(sK48(X0))
      | nil = sK48(X0) ),
    inference(resolution,[],[f465,f521]) ).

fof(f868,plain,
    ! [X0] :
      ( sP10(X0)
      | hd(sK45(X0)) = sK24(sK45(X0))
      | nil = sK45(X0) ),
    inference(resolution,[],[f465,f511]) ).

fof(f867,plain,
    ! [X0] :
      ( sP10(X0)
      | hd(sK44(X0)) = sK24(sK44(X0))
      | nil = sK44(X0) ),
    inference(resolution,[],[f465,f510]) ).

fof(f866,plain,
    ! [X0] :
      ( sP10(X0)
      | hd(sK43(X0)) = sK24(sK43(X0))
      | nil = sK43(X0) ),
    inference(resolution,[],[f465,f509]) ).

fof(f865,plain,
    ! [X0] :
      ( sP8(X0)
      | hd(sK40(X0)) = sK24(sK40(X0))
      | nil = sK40(X0) ),
    inference(resolution,[],[f465,f499]) ).

fof(f864,plain,
    ! [X0] :
      ( sP8(X0)
      | hd(sK39(X0)) = sK24(sK39(X0))
      | nil = sK39(X0) ),
    inference(resolution,[],[f465,f498]) ).

fof(f863,plain,
    ! [X0] :
      ( sP8(X0)
      | hd(sK38(X0)) = sK24(sK38(X0))
      | nil = sK38(X0) ),
    inference(resolution,[],[f465,f497]) ).

fof(f862,plain,
    ! [X0] :
      ( sP6(X0)
      | hd(sK35(X0)) = sK24(sK35(X0))
      | nil = sK35(X0) ),
    inference(resolution,[],[f465,f488]) ).

fof(f861,plain,
    ! [X0] :
      ( sP6(X0)
      | hd(sK34(X0)) = sK24(sK34(X0))
      | nil = sK34(X0) ),
    inference(resolution,[],[f465,f487]) ).

fof(f860,plain,
    ! [X0] :
      ( sP6(X0)
      | hd(sK33(X0)) = sK24(sK33(X0))
      | nil = sK33(X0) ),
    inference(resolution,[],[f465,f486]) ).

fof(f859,plain,
    ! [X0] :
      ( sP4(X0)
      | hd(sK30(X0)) = sK24(sK30(X0))
      | nil = sK30(X0) ),
    inference(resolution,[],[f465,f477]) ).

fof(f858,plain,
    ! [X0] :
      ( sP4(X0)
      | hd(sK29(X0)) = sK24(sK29(X0))
      | nil = sK29(X0) ),
    inference(resolution,[],[f465,f476]) ).

fof(f857,plain,
    ! [X0] :
      ( nil = sK25(X0)
      | hd(sK25(X0)) = sK24(sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f465,f466]) ).

fof(f856,plain,
    ! [X0] :
      ( nil = sK22(X0)
      | hd(sK22(X0)) = sK24(sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f465,f458]) ).

fof(f886,plain,
    ( hd(sK19) = sK24(sK19)
    | spl69_1 ),
    inference(forward_demodulation,[],[f885,f379]) ).

fof(f885,plain,
    ( hd(sK21) = sK24(sK21)
    | spl69_1 ),
    inference(subsumption_resolution,[],[f884,f647]) ).

fof(f884,plain,
    ( nil = sK19
    | hd(sK21) = sK24(sK21) ),
    inference(forward_demodulation,[],[f855,f379]) ).

fof(f855,plain,
    ( nil = sK21
    | hd(sK21) = sK24(sK21) ),
    inference(resolution,[],[f465,f378]) ).

fof(f851,plain,
    ! [X0] :
      ( nil = tl(X0)
      | hd(tl(X0)) = sK24(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f465,f462]) ).

fof(f849,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | hd(app(X0,X1)) = sK24(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[],[f465,f566]) ).

fof(f878,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | hd(cons(X0,X1)) = sK24(cons(X0,X1)) ),
    inference(subsumption_resolution,[],[f848,f557]) ).

fof(f848,plain,
    ! [X0,X1] :
      ( nil = cons(X0,X1)
      | hd(cons(X0,X1)) = sK24(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f465,f556]) ).

fof(f465,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | hd(X0) = sK24(X0) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f279,plain,
    ! [X0] :
      ( ( hd(X0) = sK24(X0)
        & ssItem(sK24(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f158,f278]) ).

fof(f278,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
     => ( hd(X0) = sK24(X0)
        & ssItem(sK24(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ? [X1] :
            ( hd(X0) = X1
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).

fof(f847,plain,
    ! [X0,X1] :
      ( nil = X0
      | ~ sP2(X0,X1)
      | ~ lt(hd(X0),X1)
      | ~ ssItem(X1)
      | ~ ssItem(hd(X0)) ),
    inference(resolution,[],[f443,f408]) ).

fof(f846,plain,
    ! [X0,X1] :
      ( nil = X0
      | ~ sP2(X0,X1)
      | leq(X1,hd(X0))
      | ~ ssItem(hd(X0))
      | ~ ssItem(X1) ),
    inference(resolution,[],[f443,f418]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( lt(X1,hd(X0))
      | nil = X0
      | ~ sP2(X0,X1) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f440,plain,
    ! [X0,X1] :
      ( strictorderedP(cons(X0,X1))
      | ~ sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f269]) ).

fof(f269,plain,
    ! [X0,X1] :
      ( ( ( strictorderedP(cons(X0,X1))
          | ~ sP2(X1,X0) )
        & ( sP2(X1,X0)
          | ~ strictorderedP(cons(X0,X1)) ) )
      | ~ sP3(X0,X1) ),
    inference(nnf_transformation,[],[f228]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ( strictorderedP(cons(X0,X1))
      <=> sP2(X1,X0) )
      | ~ sP3(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( ~ strictorderedP(cons(X0,X1))
      | sP2(X1,X0)
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f269]) ).

fof(f435,plain,
    ! [X0,X1] :
      ( leq(X1,hd(X0))
      | nil = X0
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f432,plain,
    ! [X0,X1] :
      ( totalorderedP(cons(X0,X1))
      | ~ sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f265]) ).

fof(f265,plain,
    ! [X0,X1] :
      ( ( ( totalorderedP(cons(X0,X1))
          | ~ sP0(X1,X0) )
        & ( sP0(X1,X0)
          | ~ totalorderedP(cons(X0,X1)) ) )
      | ~ sP1(X0,X1) ),
    inference(nnf_transformation,[],[f225]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ( totalorderedP(cons(X0,X1))
      <=> sP0(X1,X0) )
      | ~ sP1(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( ~ totalorderedP(cons(X0,X1))
      | sP0(X1,X0)
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f265]) ).

fof(f418,plain,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | leq(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f260,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,[],[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(nnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( lt(X0,X1)
          <=> ( leq(X0,X1)
              & X0 != X1 ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( lt(X0,X1)
          <=> ( leq(X0,X1)
              & X0 != X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

fof(f416,plain,
    ! [X0,X1] :
      ( geq(X0,X1)
      | ~ leq(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f258]) ).

fof(f258,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( geq(X0,X1)
              | ~ leq(X1,X0) )
            & ( leq(X1,X0)
              | ~ geq(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( geq(X0,X1)
          <=> leq(X1,X0) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( geq(X0,X1)
          <=> leq(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

fof(f415,plain,
    ! [X0,X1] :
      ( ~ geq(X0,X1)
      | leq(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f258]) ).

fof(f414,plain,
    ! [X0,X1] :
      ( gt(X0,X1)
      | ~ lt(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( gt(X0,X1)
              | ~ lt(X1,X0) )
            & ( lt(X1,X0)
              | ~ gt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( gt(X0,X1)
          <=> lt(X1,X0) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( gt(X0,X1)
          <=> lt(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

fof(f413,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | lt(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f412,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/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f408,plain,
    ! [X0,X1] :
      ( ~ lt(X1,X0)
      | ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ lt(X1,X0)
          | ~ lt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ lt(X1,X0)
          | ~ lt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( lt(X0,X1)
           => ~ lt(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).

fof(f813,plain,
    ! [X0] :
      ( sK60(X0) = app(nil,sK60(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f717,f661]) ).

fof(f717,plain,
    ! [X0] :
      ( sP16(X0)
      | sK60(X0) = app(nil,sK60(X0)) ),
    inference(resolution,[],[f457,f546]) ).

fof(f812,plain,
    ! [X0] :
      ( sK59(X0) = app(nil,sK59(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f716,f661]) ).

fof(f716,plain,
    ! [X0] :
      ( sP16(X0)
      | sK59(X0) = app(nil,sK59(X0)) ),
    inference(resolution,[],[f457,f545]) ).

fof(f811,plain,
    ! [X0] :
      ( sK58(X0) = app(nil,sK58(X0))
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f715,f661]) ).

fof(f715,plain,
    ! [X0] :
      ( sP16(X0)
      | sK58(X0) = app(nil,sK58(X0)) ),
    inference(resolution,[],[f457,f544]) ).

fof(f810,plain,
    ! [X0] :
      ( sK55(X0) = app(nil,sK55(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f714,f659]) ).

fof(f714,plain,
    ! [X0] :
      ( sP14(X0)
      | sK55(X0) = app(nil,sK55(X0)) ),
    inference(resolution,[],[f457,f535]) ).

fof(f809,plain,
    ! [X0] :
      ( sK54(X0) = app(nil,sK54(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f713,f659]) ).

fof(f713,plain,
    ! [X0] :
      ( sP14(X0)
      | sK54(X0) = app(nil,sK54(X0)) ),
    inference(resolution,[],[f457,f534]) ).

fof(f808,plain,
    ! [X0] :
      ( sK53(X0) = app(nil,sK53(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f712,f659]) ).

fof(f712,plain,
    ! [X0] :
      ( sP14(X0)
      | sK53(X0) = app(nil,sK53(X0)) ),
    inference(resolution,[],[f457,f533]) ).

fof(f711,plain,
    ! [X0] :
      ( sP12(X0)
      | sK50(X0) = app(nil,sK50(X0)) ),
    inference(resolution,[],[f457,f523]) ).

fof(f710,plain,
    ! [X0] :
      ( sP12(X0)
      | sK49(X0) = app(nil,sK49(X0)) ),
    inference(resolution,[],[f457,f522]) ).

fof(f709,plain,
    ! [X0] :
      ( sP12(X0)
      | sK48(X0) = app(nil,sK48(X0)) ),
    inference(resolution,[],[f457,f521]) ).

fof(f406,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ gt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X1,X0)
          | ~ gt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ gt(X1,X0)
          | ~ gt(X0,X1)
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( gt(X0,X1)
           => ~ gt(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).

fof(f708,plain,
    ! [X0] :
      ( sP10(X0)
      | sK45(X0) = app(nil,sK45(X0)) ),
    inference(resolution,[],[f457,f511]) ).

fof(f707,plain,
    ! [X0] :
      ( sP10(X0)
      | sK44(X0) = app(nil,sK44(X0)) ),
    inference(resolution,[],[f457,f510]) ).

fof(f706,plain,
    ! [X0] :
      ( sP10(X0)
      | sK43(X0) = app(nil,sK43(X0)) ),
    inference(resolution,[],[f457,f509]) ).

fof(f705,plain,
    ! [X0] :
      ( sP8(X0)
      | sK40(X0) = app(nil,sK40(X0)) ),
    inference(resolution,[],[f457,f499]) ).

fof(f704,plain,
    ! [X0] :
      ( sP8(X0)
      | sK39(X0) = app(nil,sK39(X0)) ),
    inference(resolution,[],[f457,f498]) ).

fof(f703,plain,
    ! [X0] :
      ( sP8(X0)
      | sK38(X0) = app(nil,sK38(X0)) ),
    inference(resolution,[],[f457,f497]) ).

fof(f702,plain,
    ! [X0] :
      ( sP6(X0)
      | sK35(X0) = app(nil,sK35(X0)) ),
    inference(resolution,[],[f457,f488]) ).

fof(f701,plain,
    ! [X0] :
      ( sP6(X0)
      | sK34(X0) = app(nil,sK34(X0)) ),
    inference(resolution,[],[f457,f487]) ).

fof(f700,plain,
    ! [X0] :
      ( sP6(X0)
      | sK33(X0) = app(nil,sK33(X0)) ),
    inference(resolution,[],[f457,f486]) ).

fof(f699,plain,
    ! [X0] :
      ( sP4(X0)
      | sK30(X0) = app(nil,sK30(X0)) ),
    inference(resolution,[],[f457,f477]) ).

fof(f807,plain,
    ~ neq(sK18,sK18),
    inference(subsumption_resolution,[],[f806,f375]) ).

fof(f806,plain,
    ( ~ neq(sK18,sK18)
    | ~ ssList(sK18) ),
    inference(subsumption_resolution,[],[f805,f640]) ).

fof(f805,plain,
    ( ~ neq(sK18,sK18)
    | ~ strictorderedP(sK18)
    | ~ ssList(sK18) ),
    inference(subsumption_resolution,[],[f804,f643]) ).

fof(f804,plain,
    ( ~ frontsegP(sK19,sK18)
    | ~ neq(sK18,sK18)
    | ~ strictorderedP(sK18)
    | ~ ssList(sK18) ),
    inference(duplicate_literal_removal,[],[f803]) ).

fof(f803,plain,
    ( ~ frontsegP(sK19,sK18)
    | ~ neq(sK18,sK18)
    | ~ strictorderedP(sK18)
    | ~ ssList(sK18)
    | ~ ssList(sK18) ),
    inference(resolution,[],[f796,f455]) ).

fof(f698,plain,
    ! [X0] :
      ( sP4(X0)
      | sK29(X0) = app(nil,sK29(X0)) ),
    inference(resolution,[],[f457,f476]) ).

fof(f802,plain,
    ! [X0] :
      ( sK60(X0) = app(sK60(X0),nil)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f690,f661]) ).

fof(f690,plain,
    ! [X0] :
      ( sP16(X0)
      | sK60(X0) = app(sK60(X0),nil) ),
    inference(resolution,[],[f456,f546]) ).

fof(f801,plain,
    ! [X0] :
      ( sK59(X0) = app(sK59(X0),nil)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f689,f661]) ).

fof(f689,plain,
    ! [X0] :
      ( sP16(X0)
      | sK59(X0) = app(sK59(X0),nil) ),
    inference(resolution,[],[f456,f545]) ).

fof(f800,plain,
    ! [X0] :
      ( sK58(X0) = app(sK58(X0),nil)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f688,f661]) ).

fof(f688,plain,
    ! [X0] :
      ( sP16(X0)
      | sK58(X0) = app(sK58(X0),nil) ),
    inference(resolution,[],[f456,f544]) ).

fof(f799,plain,
    ! [X0] :
      ( sK55(X0) = app(sK55(X0),nil)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f687,f659]) ).

fof(f687,plain,
    ! [X0] :
      ( sP14(X0)
      | sK55(X0) = app(sK55(X0),nil) ),
    inference(resolution,[],[f456,f535]) ).

fof(f798,plain,
    ! [X0] :
      ( sK54(X0) = app(sK54(X0),nil)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f686,f659]) ).

fof(f686,plain,
    ! [X0] :
      ( sP14(X0)
      | sK54(X0) = app(sK54(X0),nil) ),
    inference(resolution,[],[f456,f534]) ).

fof(f797,plain,
    ! [X0] :
      ( sK53(X0) = app(sK53(X0),nil)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f685,f659]) ).

fof(f685,plain,
    ! [X0] :
      ( sP14(X0)
      | sK53(X0) = app(sK53(X0),nil) ),
    inference(resolution,[],[f456,f533]) ).

fof(f684,plain,
    ! [X0] :
      ( sP12(X0)
      | sK50(X0) = app(sK50(X0),nil) ),
    inference(resolution,[],[f456,f523]) ).

fof(f683,plain,
    ! [X0] :
      ( sP12(X0)
      | sK49(X0) = app(sK49(X0),nil) ),
    inference(resolution,[],[f456,f522]) ).

fof(f682,plain,
    ! [X0] :
      ( sP12(X0)
      | sK48(X0) = app(sK48(X0),nil) ),
    inference(resolution,[],[f456,f521]) ).

fof(f681,plain,
    ! [X0] :
      ( sP10(X0)
      | sK45(X0) = app(sK45(X0),nil) ),
    inference(resolution,[],[f456,f511]) ).

fof(f680,plain,
    ! [X0] :
      ( sP10(X0)
      | sK44(X0) = app(sK44(X0),nil) ),
    inference(resolution,[],[f456,f510]) ).

fof(f679,plain,
    ! [X0] :
      ( sP10(X0)
      | sK43(X0) = app(sK43(X0),nil) ),
    inference(resolution,[],[f456,f509]) ).

fof(f678,plain,
    ! [X0] :
      ( sP8(X0)
      | sK40(X0) = app(sK40(X0),nil) ),
    inference(resolution,[],[f456,f499]) ).

fof(f677,plain,
    ! [X0] :
      ( sP8(X0)
      | sK39(X0) = app(sK39(X0),nil) ),
    inference(resolution,[],[f456,f498]) ).

fof(f676,plain,
    ! [X0] :
      ( sP8(X0)
      | sK38(X0) = app(sK38(X0),nil) ),
    inference(resolution,[],[f456,f497]) ).

fof(f675,plain,
    ! [X0] :
      ( sP6(X0)
      | sK35(X0) = app(sK35(X0),nil) ),
    inference(resolution,[],[f456,f488]) ).

fof(f674,plain,
    ! [X0] :
      ( sP6(X0)
      | sK34(X0) = app(sK34(X0),nil) ),
    inference(resolution,[],[f456,f487]) ).

fof(f673,plain,
    ! [X0] :
      ( sP6(X0)
      | sK33(X0) = app(sK33(X0),nil) ),
    inference(resolution,[],[f456,f486]) ).

fof(f672,plain,
    ! [X0] :
      ( sP4(X0)
      | sK30(X0) = app(sK30(X0),nil) ),
    inference(resolution,[],[f456,f477]) ).

fof(f671,plain,
    ! [X0] :
      ( sP4(X0)
      | sK29(X0) = app(sK29(X0),nil) ),
    inference(resolution,[],[f456,f476]) ).

fof(f633,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f605]) ).

fof(f605,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f426]) ).

fof(f426,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | X0 != X1
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f262]) ).

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

fof(f181,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f760,plain,
    ( ~ frontsegP(sK18,nil)
    | ~ neq(nil,nil) ),
    inference(subsumption_resolution,[],[f759,f376]) ).

fof(f759,plain,
    ( ~ frontsegP(sK18,nil)
    | ~ neq(nil,nil)
    | ~ ssList(sK19) ),
    inference(subsumption_resolution,[],[f755,f394]) ).

fof(f755,plain,
    ( ~ frontsegP(sK18,nil)
    | ~ neq(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(sK19) ),
    inference(resolution,[],[f383,f453]) ).

fof(f758,plain,
    ( ~ frontsegP(sK18,sK19)
    | ~ neq(sK19,nil) ),
    inference(subsumption_resolution,[],[f756,f376]) ).

fof(f756,plain,
    ( ~ frontsegP(sK18,sK19)
    | ~ neq(sK19,nil)
    | ~ ssList(sK19) ),
    inference(duplicate_literal_removal,[],[f754]) ).

fof(f754,plain,
    ( ~ frontsegP(sK18,sK19)
    | ~ neq(sK19,nil)
    | ~ ssList(sK19)
    | ~ ssList(sK19) ),
    inference(resolution,[],[f383,f452]) ).

fof(f757,plain,
    ( ~ frontsegP(sK18,sK18)
    | ~ neq(sK18,nil) ),
    inference(subsumption_resolution,[],[f753,f375]) ).

fof(f753,plain,
    ( ~ frontsegP(sK18,sK18)
    | ~ neq(sK18,nil)
    | ~ ssList(sK18) ),
    inference(resolution,[],[f383,f643]) ).

fof(f557,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f383,plain,
    ! [X5] :
      ( ~ frontsegP(sK19,X5)
      | ~ frontsegP(sK18,X5)
      | ~ neq(X5,nil)
      | ~ ssList(X5) ),
    inference(cnf_transformation,[],[f255]) ).

fof(f746,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,X0) = app(app(X1,X0),nil) ),
    inference(resolution,[],[f566,f456]) ).

fof(f745,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,X0) = app(nil,app(X1,X0)) ),
    inference(resolution,[],[f566,f457]) ).

fof(f744,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | cons(X0,X1) = app(cons(X0,X1),nil) ),
    inference(resolution,[],[f556,f456]) ).

fof(f743,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | cons(X0,X1) = app(nil,cons(X0,X1)) ),
    inference(resolution,[],[f556,f457]) ).

fof(f556,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f554,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f350,plain,
    ! [X0] :
      ( ( ( frontsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ frontsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0] :
      ( ( frontsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

fof(f552,plain,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f349]) ).

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

fof(f177,plain,
    ! [X0] :
      ( ( segmentP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( segmentP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

fof(f550,plain,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f348,plain,
    ! [X0] :
      ( ( ( rearsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ rearsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0] :
      ( ( rearsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( rearsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

fof(f727,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK25(X0) = app(sK25(X0),nil) ),
    inference(resolution,[],[f466,f456]) ).

fof(f726,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK25(X0) = app(nil,sK25(X0)) ),
    inference(resolution,[],[f466,f457]) ).

fof(f466,plain,
    ! [X0] :
      ( ssList(sK25(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f464,plain,
    ! [X0] :
      ( ssItem(sK24(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f725,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | tl(X0) = app(tl(X0),nil) ),
    inference(resolution,[],[f462,f456]) ).

fof(f724,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | tl(X0) = app(nil,tl(X0)) ),
    inference(resolution,[],[f462,f457]) ).

fof(f462,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f461,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f459,plain,
    ! [X0] :
      ( ssItem(sK23(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f723,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK22(X0) = app(sK22(X0),nil) ),
    inference(resolution,[],[f458,f456]) ).

fof(f722,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | sK22(X0) = app(nil,sK22(X0)) ),
    inference(resolution,[],[f458,f457]) ).

fof(f458,plain,
    ! [X0] :
      ( ssList(sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f442,plain,
    ! [X0,X1] :
      ( ~ sP2(X0,X1)
      | nil = X0
      | strictorderedP(X0) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f434,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | nil = X0
      | totalorderedP(X0) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f548,plain,
    ! [X0] :
      ( ~ lt(sK56(X0),sK57(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f537,plain,
    ! [X0] :
      ( ~ leq(sK51(X0),sK52(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f526,plain,
    ! [X0] :
      ( leq(sK47(X0),sK46(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f525,plain,
    ! [X0] :
      ( leq(sK46(X0),sK47(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f514,plain,
    ! [X0] :
      ( ~ lt(sK42(X0),sK41(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f513,plain,
    ! [X0] :
      ( ~ lt(sK41(X0),sK42(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f502,plain,
    ! [X0] :
      ( ~ leq(sK37(X0),sK36(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f501,plain,
    ! [X0] :
      ( ~ leq(sK36(X0),sK37(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f490,plain,
    ! [X0] :
      ( sP6(X0)
      | sK31(X0) = sK32(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f479,plain,
    ! [X0] :
      ( sK27(X0) != sK28(X0)
      | sP4(X0) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f468,plain,
    ! [X0] :
      ( ssItem(sK26(X0))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f695,plain,
    sK19 = app(nil,sK19),
    inference(resolution,[],[f457,f376]) ).

fof(f694,plain,
    sK18 = app(nil,sK18),
    inference(resolution,[],[f457,f375]) ).

fof(f719,plain,
    sK19 = app(nil,sK19),
    inference(forward_demodulation,[],[f697,f379]) ).

fof(f697,plain,
    sK21 = app(nil,sK21),
    inference(resolution,[],[f457,f378]) ).

fof(f718,plain,
    sK18 = app(nil,sK18),
    inference(forward_demodulation,[],[f696,f380]) ).

fof(f696,plain,
    sK20 = app(nil,sK20),
    inference(resolution,[],[f457,f377]) ).

fof(f668,plain,
    sK19 = app(sK19,nil),
    inference(resolution,[],[f456,f376]) ).

fof(f667,plain,
    sK18 = app(sK18,nil),
    inference(resolution,[],[f456,f375]) ).

fof(f692,plain,
    sK19 = app(sK19,nil),
    inference(forward_demodulation,[],[f670,f379]) ).

fof(f670,plain,
    sK21 = app(sK21,nil),
    inference(resolution,[],[f456,f378]) ).

fof(f691,plain,
    sK18 = app(sK18,nil),
    inference(forward_demodulation,[],[f669,f380]) ).

fof(f669,plain,
    sK20 = app(sK20,nil),
    inference(resolution,[],[f456,f377]) ).

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

fof(f147,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f446,plain,
    ! [X0,X1] :
      ( sP3(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f229]) ).

fof(f229,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP3(X0,X1)
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(definition_folding,[],[f139,f228,f227]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( strictorderedP(cons(X0,X1))
          <=> ( ( lt(X0,hd(X1))
                & strictorderedP(X1)
                & nil != X1 )
              | nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( strictorderedP(cons(X0,X1))
          <=> ( ( lt(X0,hd(X1))
                & strictorderedP(X1)
                & nil != X1 )
              | nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).

fof(f438,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f226]) ).

fof(f226,plain,
    ! [X0] :
      ( ! [X1] :
          ( sP1(X0,X1)
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(definition_folding,[],[f138,f225,f224]) ).

fof(f138,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( totalorderedP(cons(X0,X1))
          <=> ( ( leq(X0,hd(X1))
                & totalorderedP(X1)
                & nil != X1 )
              | nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( totalorderedP(cons(X0,X1))
          <=> ( ( leq(X0,hd(X1))
                & totalorderedP(X1)
                & nil != X1 )
              | nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

fof(f661,plain,
    ! [X0] :
      ( ~ sP16(X0)
      | strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f540,f549]) ).

fof(f660,plain,
    ! [X0] :
      ( sP16(X0)
      | ~ strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f539,f549]) ).

fof(f659,plain,
    ! [X0] :
      ( ~ sP14(X0)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f529,f538]) ).

fof(f658,plain,
    ! [X0] :
      ( sP14(X0)
      | ~ totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f528,f538]) ).

fof(f657,plain,
    ! [X0] :
      ( sP12(X0)
      | ~ cyclefreeP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f516,f527]) ).

fof(f656,plain,
    ! [X0] :
      ( sP10(X0)
      | ~ strictorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f504,f515]) ).

fof(f655,plain,
    ! [X0] :
      ( sP8(X0)
      | ~ totalorderP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f492,f503]) ).

fof(f653,plain,
    ! [X0] :
      ( sP4(X0)
      | ~ equalelemsP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f471,f480]) ).

fof(f540,plain,
    ! [X0] :
      ( ~ sP17(X0)
      | ~ sP16(X0)
      | strictorderedP(X0) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f339,plain,
    ! [X0] :
      ( ( ( strictorderedP(X0)
          | ~ sP16(X0) )
        & ( sP16(X0)
          | ~ strictorderedP(X0) ) )
      | ~ sP17(X0) ),
    inference(nnf_transformation,[],[f249]) ).

fof(f249,plain,
    ! [X0] :
      ( ( strictorderedP(X0)
      <=> sP16(X0) )
      | ~ sP17(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f539,plain,
    ! [X0] :
      ( ~ sP17(X0)
      | ~ strictorderedP(X0)
      | sP16(X0) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f529,plain,
    ! [X0] :
      ( ~ sP15(X0)
      | ~ sP14(X0)
      | totalorderedP(X0) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ! [X0] :
      ( ( ( totalorderedP(X0)
          | ~ sP14(X0) )
        & ( sP14(X0)
          | ~ totalorderedP(X0) ) )
      | ~ sP15(X0) ),
    inference(nnf_transformation,[],[f246]) ).

fof(f246,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> sP14(X0) )
      | ~ sP15(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f528,plain,
    ! [X0] :
      ( ~ sP15(X0)
      | ~ totalorderedP(X0)
      | sP14(X0) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f516,plain,
    ! [X0] :
      ( ~ sP13(X0)
      | ~ cyclefreeP(X0)
      | sP12(X0) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f321,plain,
    ! [X0] :
      ( ( ( cyclefreeP(X0)
          | ~ sP12(X0) )
        & ( sP12(X0)
          | ~ cyclefreeP(X0) ) )
      | ~ sP13(X0) ),
    inference(nnf_transformation,[],[f243]) ).

fof(f243,plain,
    ! [X0] :
      ( ( cyclefreeP(X0)
      <=> sP12(X0) )
      | ~ sP13(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f504,plain,
    ! [X0] :
      ( ~ sP11(X0)
      | ~ strictorderP(X0)
      | sP10(X0) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f312,plain,
    ! [X0] :
      ( ( ( strictorderP(X0)
          | ~ sP10(X0) )
        & ( sP10(X0)
          | ~ strictorderP(X0) ) )
      | ~ sP11(X0) ),
    inference(nnf_transformation,[],[f240]) ).

fof(f240,plain,
    ! [X0] :
      ( ( strictorderP(X0)
      <=> sP10(X0) )
      | ~ sP11(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f492,plain,
    ! [X0] :
      ( ~ sP9(X0)
      | ~ totalorderP(X0)
      | sP8(X0) ),
    inference(cnf_transformation,[],[f303]) ).

fof(f303,plain,
    ! [X0] :
      ( ( ( totalorderP(X0)
          | ~ sP8(X0) )
        & ( sP8(X0)
          | ~ totalorderP(X0) ) )
      | ~ sP9(X0) ),
    inference(nnf_transformation,[],[f237]) ).

fof(f237,plain,
    ! [X0] :
      ( ( totalorderP(X0)
      <=> sP8(X0) )
      | ~ sP9(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f471,plain,
    ! [X0] :
      ( ~ sP5(X0)
      | ~ equalelemsP(X0)
      | sP4(X0) ),
    inference(cnf_transformation,[],[f286]) ).

fof(f286,plain,
    ! [X0] :
      ( ( ( equalelemsP(X0)
          | ~ sP4(X0) )
        & ( sP4(X0)
          | ~ equalelemsP(X0) ) )
      | ~ sP5(X0) ),
    inference(nnf_transformation,[],[f231]) ).

fof(f231,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/sandbox/benchmark/theBenchmark.p',ax65) ).

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

fof(f109,plain,
    ! [X0] :
      ( strictorderP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,axiom,
    ! [X0] :
      ( ssItem(X0)
     => strictorderP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).

fof(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/sandbox/benchmark/theBenchmark.p',ax61) ).

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

fof(f107,plain,
    ! [X0] :
      ( cyclefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ! [X0] :
      ( ssItem(X0)
     => cyclefreeP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

fof(f400,plain,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ssItem(X0)
     => duplicatefreeP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

fof(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/sandbox/benchmark/theBenchmark.p',ax73) ).

fof(f638,plain,
    nil = app(nil,nil),
    inference(global_subsumption,[],[f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f412,f414,f413,f416,f415,f419,f418,f634,f420,f421,f422,f423,f424,f427,f633,f425,f632,f429,f428,f432,f431,f437,f607,f435,f434,f438,f440,f439,f445,f609,f443,f442,f446,f449,f448,f447,f450,f451,f452,f453,f454,f455,f456,f457,f460,f459,f458,f461,f462,f463,f465,f464,f467,f466,f611,f469,f468,f471,f479,f478,f477,f476,f475,f474,f612,f480,f481,f490,f489,f488,f487,f486,f485,f484,f631,f491,f492,f502,f501,f500,f499,f498,f497,f496,f495,f615,f503,f504,f514,f513,f512,f511,f510,f509,f508,f507,f616,f515,f516,f526,f525,f524,f523,f522,f521,f520,f519,f617,f527,f529,f528,f537,f536,f535,f534,f533,f532,f531,f618,f538,f540,f539,f548,f547,f546,f545,f544,f543,f542,f619,f549,f620,f635,f550,f621,f636,f552,f622,f637,f554,f556,f557,f558,f559,f560,f561,f623,f564,f563,f562,f566,f567,f568,f569,f570,f571,f572,f574,f625,f576,f575,f626,f580,f579,f578,f627,f583,f582,f630]) ).

fof(f546,plain,
    ! [X0] :
      ( ssList(sK60(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f545,plain,
    ! [X0] :
      ( ssList(sK59(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f544,plain,
    ! [X0] :
      ( ssList(sK58(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f543,plain,
    ! [X0] :
      ( ssItem(sK57(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f542,plain,
    ! [X0] :
      ( ssItem(sK56(X0))
      | sP16(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f535,plain,
    ! [X0] :
      ( ssList(sK55(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f534,plain,
    ! [X0] :
      ( ssList(sK54(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f533,plain,
    ! [X0] :
      ( ssList(sK53(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f532,plain,
    ! [X0] :
      ( ssItem(sK52(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f531,plain,
    ! [X0] :
      ( ssItem(sK51(X0))
      | sP14(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f523,plain,
    ! [X0] :
      ( ssList(sK50(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f522,plain,
    ! [X0] :
      ( ssList(sK49(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f521,plain,
    ! [X0] :
      ( ssList(sK48(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f520,plain,
    ! [X0] :
      ( ssItem(sK47(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f519,plain,
    ! [X0] :
      ( ssItem(sK46(X0))
      | sP12(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f511,plain,
    ! [X0] :
      ( ssList(sK45(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f510,plain,
    ! [X0] :
      ( ssList(sK44(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f509,plain,
    ! [X0] :
      ( ssList(sK43(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f508,plain,
    ! [X0] :
      ( ssItem(sK42(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f507,plain,
    ! [X0] :
      ( ssItem(sK41(X0))
      | sP10(X0) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f499,plain,
    ! [X0] :
      ( ssList(sK40(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f498,plain,
    ! [X0] :
      ( ssList(sK39(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f497,plain,
    ! [X0] :
      ( ssList(sK38(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f496,plain,
    ! [X0] :
      ( ssItem(sK37(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f495,plain,
    ! [X0] :
      ( ssItem(sK36(X0))
      | sP8(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f488,plain,
    ! [X0] :
      ( ssList(sK35(X0))
      | sP6(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f487,plain,
    ! [X0] :
      ( ssList(sK34(X0))
      | sP6(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f486,plain,
    ! [X0] :
      ( ssList(sK33(X0))
      | sP6(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f485,plain,
    ! [X0] :
      ( ssItem(sK32(X0))
      | sP6(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f484,plain,
    ! [X0] :
      ( ssItem(sK31(X0))
      | sP6(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f477,plain,
    ! [X0] :
      ( ssList(sK30(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f476,plain,
    ! [X0] :
      ( ssList(sK29(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f475,plain,
    ! [X0] :
      ( ssItem(sK28(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f474,plain,
    ! [X0] :
      ( ssItem(sK27(X0))
      | sP4(X0) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f455,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f55]) ).

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

fof(f454,plain,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ! [X0] :
      ( ssList(X0)
     => rearsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

fof(f453,plain,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f45]) ).

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

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

fof(f143,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f42]) ).

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

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

fof(f141,plain,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f51]) ).

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

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

fof(f104,plain,
    ! [X0] :
      ( leq(X0,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( ssItem(X0)
     => leq(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

fof(f397,plain,
    ! [X0] :
      ( geq(X0,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( geq(X0,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,axiom,
    ! [X0] :
      ( ssItem(X0)
     => geq(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).

fof(f396,plain,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ lt(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).

fof(f395,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f385,plain,
    ( nil != sK18
    | nil != sK19 ),
    inference(cnf_transformation,[],[f255]) ).

fof(f549,plain,
    ! [X0] :
      ( sP17(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f250]) ).

fof(f250,plain,
    ! [X0] :
      ( sP17(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f175,f249,f248]) ).

fof(f175,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,[],[f174]) ).

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(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( strictorderedP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => lt(X1,X2) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f538,plain,
    ! [X0] :
      ( sP15(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,plain,
    ! [X0] :
      ( sP15(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f173,f246,f245]) ).

fof(f173,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,[],[f172]) ).

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(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( totalorderedP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => leq(X1,X2) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f527,plain,
    ! [X0] :
      ( sP13(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f244,plain,
    ! [X0] :
      ( sP13(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f171,f243,f242]) ).

fof(f171,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,[],[f170]) ).

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(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( cyclefreeP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => ~ ( leq(X2,X1)
                                  & leq(X1,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f515,plain,
    ! [X0] :
      ( sP11(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f241,plain,
    ! [X0] :
      ( sP11(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f169,f240,f239]) ).

fof(f169,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,[],[f168]) ).

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(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( strictorderP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => ( lt(X2,X1)
                                | lt(X1,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f503,plain,
    ! [X0] :
      ( sP9(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f238]) ).

fof(f238,plain,
    ! [X0] :
      ( sP9(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f167,f237,f236]) ).

fof(f167,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,[],[f166]) ).

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(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( totalorderP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => ( leq(X2,X1)
                                | leq(X1,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f480,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f232,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ ssList(X0) ),
    inference(definition_folding,[],[f163,f231,f230]) ).

fof(f163,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,[],[f162]) ).

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(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( equalelemsP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ( app(X3,cons(X1,cons(X2,X4))) = X0
                         => X1 = X2 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f637,plain,
    frontsegP(nil,nil),
    inference(global_subsumption,[],[f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f412,f414,f413,f416,f415,f419,f418,f634,f420,f421,f422,f423,f424,f427,f633,f425,f632,f429,f428,f432,f431,f437,f607,f435,f434,f438,f440,f439,f445,f609,f443,f442,f446,f449,f448,f447,f450,f451,f452,f453,f454,f455,f456,f457,f460,f459,f458,f461,f462,f463,f465,f464,f467,f466,f611,f469,f468,f471,f479,f478,f477,f476,f475,f474,f612,f480,f481,f490,f489,f488,f487,f486,f485,f484,f631,f491,f492,f502,f501,f500,f499,f498,f497,f496,f495,f615,f503,f504,f514,f513,f512,f511,f510,f509,f508,f507,f616,f515,f516,f526,f525,f524,f523,f522,f521,f520,f519,f617,f527,f529,f528,f537,f536,f535,f534,f533,f532,f531,f618,f538,f540,f539,f548,f547,f546,f545,f544,f543,f542,f619,f549,f620,f635,f550,f621,f636,f552,f622]) ).

fof(f636,plain,
    segmentP(nil,nil),
    inference(global_subsumption,[],[f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f412,f414,f413,f416,f415,f419,f418,f634,f420,f421,f422,f423,f424,f427,f633,f425,f632,f429,f428,f432,f431,f437,f607,f435,f434,f438,f440,f439,f445,f609,f443,f442,f446,f449,f448,f447,f450,f451,f452,f453,f454,f455,f456,f457,f460,f459,f458,f461,f462,f463,f465,f464,f467,f466,f611,f469,f468,f471,f479,f478,f477,f476,f475,f474,f612,f480,f481,f490,f489,f488,f487,f486,f485,f484,f631,f491,f492,f502,f501,f500,f499,f498,f497,f496,f495,f615,f503,f504,f514,f513,f512,f511,f510,f509,f508,f507,f616,f515,f516,f526,f525,f524,f523,f522,f521,f520,f519,f617,f527,f529,f528,f537,f536,f535,f534,f533,f532,f531,f618,f538,f540,f539,f548,f547,f546,f545,f544,f543,f542,f619,f549,f620,f635,f550,f621]) ).

fof(f635,plain,
    rearsegP(nil,nil),
    inference(global_subsumption,[],[f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f412,f414,f413,f416,f415,f419,f418,f634,f420,f421,f422,f423,f424,f427,f633,f425,f632,f429,f428,f432,f431,f437,f607,f435,f434,f438,f440,f439,f445,f609,f443,f442,f446,f449,f448,f447,f450,f451,f452,f453,f454,f455,f456,f457,f460,f459,f458,f461,f462,f463,f465,f464,f467,f466,f611,f469,f468,f471,f479,f478,f477,f476,f475,f474,f612,f480,f481,f490,f489,f488,f487,f486,f485,f484,f631,f491,f492,f502,f501,f500,f499,f498,f497,f496,f495,f615,f503,f504,f514,f513,f512,f511,f510,f509,f508,f507,f616,f515,f516,f526,f525,f524,f523,f522,f521,f520,f519,f617,f527,f529,f528,f537,f536,f535,f534,f533,f532,f531,f618,f538,f540,f539,f548,f547,f546,f545,f544,f543,f542,f619,f549,f620]) ).

fof(f609,plain,
    ! [X1] : sP2(nil,X1),
    inference(equality_resolution,[],[f444]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( sP2(X0,X1)
      | nil != X0 ),
    inference(cnf_transformation,[],[f272]) ).

fof(f607,plain,
    ! [X1] : sP0(nil,X1),
    inference(equality_resolution,[],[f436]) ).

fof(f436,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | nil != X0 ),
    inference(cnf_transformation,[],[f268]) ).

fof(f602,plain,
    sK67 != sK68,
    inference(cnf_transformation,[],[f374]) ).

fof(f374,plain,
    ( sK67 != sK68
    & ssItem(sK68)
    & ssItem(sK67) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK67,sK68])],[f2,f373,f372]) ).

fof(f372,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( X0 != X1
            & ssItem(X1) )
        & ssItem(X0) )
   => ( ? [X1] :
          ( sK67 != X1
          & ssItem(X1) )
      & ssItem(sK67) ) ),
    introduced(choice_axiom,[]) ).

fof(f373,plain,
    ( ? [X1] :
        ( sK67 != X1
        & ssItem(X1) )
   => ( sK67 != sK68
      & ssItem(sK68) ) ),
    introduced(choice_axiom,[]) ).

fof(f2,axiom,
    ? [X0] :
      ( ? [X1] :
          ( X0 != X1
          & ssItem(X1) )
      & ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f643,plain,
    frontsegP(sK19,sK18),
    inference(forward_demodulation,[],[f642,f379]) ).

fof(f642,plain,
    frontsegP(sK21,sK18),
    inference(forward_demodulation,[],[f381,f380]) ).

fof(f640,plain,
    strictorderedP(sK18),
    inference(superposition,[],[f382,f380]) ).

fof(f601,plain,
    ssItem(sK68),
    inference(cnf_transformation,[],[f374]) ).

fof(f600,plain,
    ssItem(sK67),
    inference(cnf_transformation,[],[f374]) ).

fof(f393,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

fof(f392,plain,
    totalorderedP(nil),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

fof(f391,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

fof(f390,plain,
    totalorderP(nil),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

fof(f389,plain,
    strictorderP(nil),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

fof(f388,plain,
    cyclefreeP(nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

fof(f387,plain,
    duplicatefreeP(nil),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

fof(f386,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

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

fof(f382,plain,
    strictorderedP(sK20),
    inference(cnf_transformation,[],[f255]) ).

fof(f378,plain,
    ssList(sK21),
    inference(cnf_transformation,[],[f255]) ).

fof(f377,plain,
    ssList(sK20),
    inference(cnf_transformation,[],[f255]) ).

fof(f375,plain,
    ssList(sK18),
    inference(cnf_transformation,[],[f255]) ).

fof(f630,plain,
    ( nil = app(nil,nil)
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f629]) ).

fof(f629,plain,
    ( nil = app(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f628]) ).

fof(f628,plain,
    ! [X1] :
      ( nil = app(nil,X1)
      | nil != X1
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(equality_resolution,[],[f587]) ).

fof(f587,plain,
    ! [X0,X1] :
      ( nil = app(X0,X1)
      | nil != X0
      | nil != X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f371]) ).

fof(f625,plain,
    ! [X2,X1] :
      ( rearsegP(app(X2,X1),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X2,X1)) ),
    inference(equality_resolution,[],[f577]) ).

fof(f577,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | app(X2,X1) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f360]) ).

fof(f622,plain,
    ( frontsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f555]) ).

fof(f555,plain,
    ! [X0] :
      ( frontsegP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f621,plain,
    ( segmentP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f553]) ).

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

fof(f620,plain,
    ( rearsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f551]) ).

fof(f551,plain,
    ! [X0] :
      ( rearsegP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f634,plain,
    ! [X1] :
      ( ~ lt(X1,X1)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f604]) ).

fof(f604,plain,
    ! [X1] :
      ( ~ lt(X1,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f417]) ).

fof(f417,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f419,plain,
    ! [X0,X1] :
      ( lt(X0,X1)
      | ~ leq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f381,plain,
    frontsegP(sK21,sK20),
    inference(cnf_transformation,[],[f255]) ).

fof(f6674,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,cons(hd(sK19),X1)),sK19))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f6673,f1560]) ).

fof(f6673,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,cons(sK23(sK19),X1)),sK19))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f6672,f1515]) ).

fof(f6672,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,cons(sK23(sK19),X1)),sK19))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssList(sK22(sK19)) )
    | spl69_1
    | ~ spl69_13 ),
    inference(subsumption_resolution,[],[f6642,f1389]) ).

fof(f6642,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,cons(sK23(sK19),X1)),sK19))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(sK23(sK19))
        | ~ ssList(sK22(sK19)) )
    | spl69_1 ),
    inference(superposition,[],[f631,f1371]) ).

fof(f18841,plain,
    ( ~ spl69_153
    | spl69_154
    | ~ spl69_142
    | ~ spl69_151 ),
    inference(avatar_split_clause,[],[f18740,f18714,f18164,f18838,f18834]) ).

fof(f18834,plain,
    ( spl69_153
  <=> segmentP(sK19,app(sK19,tl(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_153])]) ).

fof(f18838,plain,
    ( spl69_154
  <=> sK19 = app(sK19,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_154])]) ).

fof(f18164,plain,
    ( spl69_142
  <=> ssList(app(sK19,tl(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_142])]) ).

fof(f18714,plain,
    ( spl69_151
  <=> segmentP(app(sK19,tl(sK19)),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_151])]) ).

fof(f18740,plain,
    ( sK19 = app(sK19,tl(sK19))
    | ~ segmentP(sK19,app(sK19,tl(sK19)))
    | ~ spl69_142
    | ~ spl69_151 ),
    inference(subsumption_resolution,[],[f18739,f376]) ).

fof(f18739,plain,
    ( sK19 = app(sK19,tl(sK19))
    | ~ segmentP(sK19,app(sK19,tl(sK19)))
    | ~ ssList(sK19)
    | ~ spl69_142
    | ~ spl69_151 ),
    inference(subsumption_resolution,[],[f18734,f18165]) ).

fof(f18165,plain,
    ( ssList(app(sK19,tl(sK19)))
    | ~ spl69_142 ),
    inference(avatar_component_clause,[],[f18164]) ).

fof(f18734,plain,
    ( sK19 = app(sK19,tl(sK19))
    | ~ segmentP(sK19,app(sK19,tl(sK19)))
    | ~ ssList(app(sK19,tl(sK19)))
    | ~ ssList(sK19)
    | ~ spl69_151 ),
    inference(resolution,[],[f18716,f571]) ).

fof(f18716,plain,
    ( segmentP(app(sK19,tl(sK19)),sK19)
    | ~ spl69_151 ),
    inference(avatar_component_clause,[],[f18714]) ).

fof(f18728,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_142
    | spl69_151 ),
    inference(avatar_contradiction_clause,[],[f18727]) ).

fof(f18727,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_142
    | spl69_151 ),
    inference(subsumption_resolution,[],[f18726,f1667]) ).

fof(f18726,plain,
    ( ~ ssList(tl(sK19))
    | ~ spl69_142
    | spl69_151 ),
    inference(subsumption_resolution,[],[f18722,f18165]) ).

fof(f18722,plain,
    ( ~ ssList(app(sK19,tl(sK19)))
    | ~ ssList(tl(sK19))
    | spl69_151 ),
    inference(resolution,[],[f18715,f7380]) ).

fof(f18715,plain,
    ( ~ segmentP(app(sK19,tl(sK19)),sK19)
    | spl69_151 ),
    inference(avatar_component_clause,[],[f18714]) ).

fof(f18721,plain,
    ( spl69_151
    | ~ spl69_152
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_83
    | ~ spl69_142 ),
    inference(avatar_split_clause,[],[f18313,f18164,f8806,f1514,f1470,f1388,f645,f18718,f18714]) ).

fof(f18718,plain,
    ( spl69_152
  <=> segmentP(tl(sK19),app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_152])]) ).

fof(f18313,plain,
    ( ~ segmentP(tl(sK19),app(sK19,sK19))
    | segmentP(app(sK19,tl(sK19)),sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_83
    | ~ spl69_142 ),
    inference(subsumption_resolution,[],[f18312,f18165]) ).

fof(f18312,plain,
    ( ~ segmentP(tl(sK19),app(sK19,sK19))
    | segmentP(app(sK19,tl(sK19)),sK19)
    | ~ ssList(app(sK19,tl(sK19)))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f18300,f8807]) ).

fof(f18300,plain,
    ( ~ segmentP(tl(sK19),app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | segmentP(app(sK19,tl(sK19)),sK19)
    | ~ ssList(app(sK19,tl(sK19)))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_83 ),
    inference(resolution,[],[f17652,f9221]) ).

fof(f9221,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,app(sK19,sK19))
        | segmentP(X0,sK19)
        | ~ ssList(X0) )
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9220,f8807]) ).

fof(f9220,plain,
    ( ! [X0] :
        ( segmentP(X0,sK19)
        | ~ segmentP(X0,app(sK19,sK19))
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9216,f376]) ).

fof(f9216,plain,
    ( ! [X0] :
        ( segmentP(X0,sK19)
        | ~ segmentP(X0,app(sK19,sK19))
        | ~ ssList(sK19)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_83 ),
    inference(resolution,[],[f9214,f597]) ).

fof(f9214,plain,
    ( segmentP(app(sK19,sK19),sK19)
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9213,f8807]) ).

fof(f9213,plain,
    ( ~ ssList(app(sK19,sK19))
    | segmentP(app(sK19,sK19),sK19)
    | ~ spl69_83 ),
    inference(forward_demodulation,[],[f9212,f8823]) ).

fof(f9212,plain,
    ( segmentP(app(sK19,sK19),sK19)
    | ~ ssList(app(app(sK19,sK19),nil))
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9211,f376]) ).

fof(f9211,plain,
    ( segmentP(app(sK19,sK19),sK19)
    | ~ ssList(sK19)
    | ~ ssList(app(app(sK19,sK19),nil))
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9195,f394]) ).

fof(f9195,plain,
    ( segmentP(app(sK19,sK19),sK19)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | ~ ssList(app(app(sK19,sK19),nil))
    | ~ spl69_83 ),
    inference(duplicate_literal_removal,[],[f9192]) ).

fof(f9192,plain,
    ( segmentP(app(sK19,sK19),sK19)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ ssList(app(app(sK19,sK19),nil))
    | ~ spl69_83 ),
    inference(superposition,[],[f626,f8823]) ).

fof(f17652,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,tl(sK19)),X0)
        | ~ segmentP(tl(sK19),X0)
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f17651,f1667]) ).

fof(f17651,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,tl(sK19)),X0)
        | ~ segmentP(tl(sK19),X0)
        | ~ ssList(X0)
        | ~ ssList(tl(sK19)) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f17650,f376]) ).

fof(f17650,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,tl(sK19)),X0)
        | ~ segmentP(tl(sK19),X0)
        | ~ ssList(sK19)
        | ~ ssList(X0)
        | ~ ssList(tl(sK19)) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f17637,f394]) ).

fof(f17637,plain,
    ( ! [X0] :
        ( segmentP(app(sK19,tl(sK19)),X0)
        | ~ segmentP(tl(sK19),X0)
        | ~ ssList(nil)
        | ~ ssList(sK19)
        | ~ ssList(X0)
        | ~ ssList(tl(sK19)) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(superposition,[],[f599,f17487]) ).

fof(f17487,plain,
    ( app(sK19,tl(sK19)) = app(app(sK19,tl(sK19)),nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f17434,f1663]) ).

fof(f17434,plain,
    ( app(sK19,sK22(sK19)) = app(app(sK19,sK22(sK19)),nil)
    | ~ spl69_17 ),
    inference(resolution,[],[f17342,f1515]) ).

fof(f17342,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(sK19,X0) = app(app(sK19,X0),nil) ),
    inference(resolution,[],[f746,f376]) ).

fof(f18568,plain,
    ( ~ spl69_83
    | spl69_149 ),
    inference(avatar_contradiction_clause,[],[f18567]) ).

fof(f18567,plain,
    ( $false
    | ~ spl69_83
    | spl69_149 ),
    inference(subsumption_resolution,[],[f18566,f376]) ).

fof(f18566,plain,
    ( ~ ssList(sK19)
    | ~ spl69_83
    | spl69_149 ),
    inference(subsumption_resolution,[],[f18565,f8807]) ).

fof(f18565,plain,
    ( ~ ssList(app(sK19,sK19))
    | ~ ssList(sK19)
    | spl69_149 ),
    inference(resolution,[],[f18559,f566]) ).

fof(f18559,plain,
    ( ~ ssList(app(sK19,app(sK19,sK19)))
    | spl69_149 ),
    inference(avatar_component_clause,[],[f18557]) ).

fof(f18557,plain,
    ( spl69_149
  <=> ssList(app(sK19,app(sK19,sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_149])]) ).

fof(f18564,plain,
    ( ~ spl69_149
    | ~ spl69_150
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83
    | ~ spl69_84 ),
    inference(avatar_split_clause,[],[f15415,f8810,f8806,f8655,f1514,f1388,f645,f18561,f18557]) ).

fof(f18561,plain,
    ( spl69_150
  <=> duplicatefreeP(app(sK19,app(sK19,sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_150])]) ).

fof(f15415,plain,
    ( ~ duplicatefreeP(app(sK19,app(sK19,sK19)))
    | ~ ssList(app(sK19,app(sK19,sK19)))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83
    | ~ spl69_84 ),
    inference(resolution,[],[f15412,f654]) ).

fof(f15412,plain,
    ( ~ sP6(app(sK19,app(sK19,sK19)))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f15409,f8812]) ).

fof(f15409,plain,
    ( ~ sP6(app(sK19,app(sK19,sK19)))
    | ~ ssList(app(tl(sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83 ),
    inference(superposition,[],[f15094,f8956]) ).

fof(f15094,plain,
    ( ! [X0] :
        ( ~ sP6(app(sK19,cons(hd(sK19),X0)))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f15083,f394]) ).

fof(f15083,plain,
    ( ! [X0] :
        ( ~ sP6(app(sK19,cons(hd(sK19),X0)))
        | ~ ssList(nil)
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(superposition,[],[f6652,f695]) ).

fof(f6652,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,sK19),cons(hd(sK19),X1)))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f6651,f1560]) ).

fof(f6651,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,sK19),cons(sK23(sK19),X1)))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f6650,f1389]) ).

fof(f6650,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,sK19),cons(sK23(sK19),X1)))
        | ~ ssList(X0)
        | ~ ssItem(sK23(sK19))
        | ~ ssList(X1) )
    | spl69_1
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f6633,f1515]) ).

fof(f6633,plain,
    ( ! [X0,X1] :
        ( ~ sP6(app(app(X0,sK19),cons(sK23(sK19),X1)))
        | ~ ssList(sK22(sK19))
        | ~ ssList(X0)
        | ~ ssItem(sK23(sK19))
        | ~ ssList(X1) )
    | spl69_1 ),
    inference(superposition,[],[f631,f1371]) ).

fof(f18553,plain,
    ( ~ spl69_147
    | spl69_148
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_141
    | ~ spl69_142 ),
    inference(avatar_split_clause,[],[f18539,f18164,f18160,f1514,f1470,f1388,f649,f645,f18550,f18546]) ).

fof(f18546,plain,
    ( spl69_147
  <=> segmentP(nil,app(sK19,tl(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_147])]) ).

fof(f18550,plain,
    ( spl69_148
  <=> segmentP(sK19,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_148])]) ).

fof(f18160,plain,
    ( spl69_141
  <=> segmentP(app(sK19,tl(sK19)),tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_141])]) ).

fof(f18539,plain,
    ( segmentP(sK19,tl(sK19))
    | ~ segmentP(nil,app(sK19,tl(sK19)))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_141
    | ~ spl69_142 ),
    inference(subsumption_resolution,[],[f18538,f18165]) ).

fof(f18538,plain,
    ( segmentP(sK19,tl(sK19))
    | ~ segmentP(nil,app(sK19,tl(sK19)))
    | ~ ssList(app(sK19,tl(sK19)))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_141
    | ~ spl69_142 ),
    inference(subsumption_resolution,[],[f18511,f376]) ).

fof(f18511,plain,
    ( segmentP(sK19,tl(sK19))
    | ~ ssList(sK19)
    | ~ segmentP(nil,app(sK19,tl(sK19)))
    | ~ ssList(app(sK19,tl(sK19)))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_141
    | ~ spl69_142 ),
    inference(resolution,[],[f18236,f7503]) ).

fof(f7503,plain,
    ( ! [X0] :
        ( segmentP(sK19,X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f7476,f376]) ).

fof(f7476,plain,
    ( ! [X0] :
        ( segmentP(sK19,X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(sK19)
        | ~ ssList(X0) )
    | ~ spl69_2 ),
    inference(superposition,[],[f6485,f695]) ).

fof(f6485,plain,
    ( ! [X0,X1] :
        ( segmentP(app(nil,X0),X1)
        | ~ segmentP(nil,X1)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f6484,f650]) ).

fof(f6484,plain,
    ! [X0,X1] :
      ( segmentP(app(sK18,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f6483,f394]) ).

fof(f6483,plain,
    ! [X0,X1] :
      ( segmentP(app(sK18,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f6414,f375]) ).

fof(f6414,plain,
    ! [X0,X1] :
      ( segmentP(app(sK18,X0),X1)
      | ~ segmentP(nil,X1)
      | ~ ssList(X0)
      | ~ ssList(sK18)
      | ~ ssList(X1)
      | ~ ssList(nil) ),
    inference(superposition,[],[f599,f667]) ).

fof(f18236,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,app(sK19,tl(sK19)))
        | segmentP(X0,tl(sK19))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_141
    | ~ spl69_142 ),
    inference(subsumption_resolution,[],[f18235,f18165]) ).

fof(f18235,plain,
    ( ! [X0] :
        ( segmentP(X0,tl(sK19))
        | ~ segmentP(X0,app(sK19,tl(sK19)))
        | ~ ssList(app(sK19,tl(sK19)))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_141 ),
    inference(subsumption_resolution,[],[f18231,f1667]) ).

fof(f18231,plain,
    ( ! [X0] :
        ( segmentP(X0,tl(sK19))
        | ~ segmentP(X0,app(sK19,tl(sK19)))
        | ~ ssList(tl(sK19))
        | ~ ssList(app(sK19,tl(sK19)))
        | ~ ssList(X0) )
    | ~ spl69_141 ),
    inference(resolution,[],[f18162,f597]) ).

fof(f18162,plain,
    ( segmentP(app(sK19,tl(sK19)),tl(sK19))
    | ~ spl69_141 ),
    inference(avatar_component_clause,[],[f18160]) ).

fof(f18430,plain,
    ( ~ spl69_28
    | spl69_145 ),
    inference(avatar_contradiction_clause,[],[f18429]) ).

fof(f18429,plain,
    ( $false
    | ~ spl69_28
    | spl69_145 ),
    inference(subsumption_resolution,[],[f18428,f1936]) ).

fof(f1936,plain,
    ( ssList(cons(sK68,sK19))
    | ~ spl69_28 ),
    inference(avatar_component_clause,[],[f1934]) ).

fof(f1934,plain,
    ( spl69_28
  <=> ssList(cons(sK68,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_28])]) ).

fof(f18428,plain,
    ( ~ ssList(cons(sK68,sK19))
    | spl69_145 ),
    inference(subsumption_resolution,[],[f18427,f376]) ).

fof(f18427,plain,
    ( ~ ssList(sK19)
    | ~ ssList(cons(sK68,sK19))
    | spl69_145 ),
    inference(resolution,[],[f18421,f566]) ).

fof(f18421,plain,
    ( ~ ssList(app(cons(sK68,sK19),sK19))
    | spl69_145 ),
    inference(avatar_component_clause,[],[f18419]) ).

fof(f18419,plain,
    ( spl69_145
  <=> ssList(app(cons(sK68,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_145])]) ).

fof(f18426,plain,
    ( ~ spl69_145
    | ~ spl69_146
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_27 ),
    inference(avatar_split_clause,[],[f15303,f1930,f1514,f1470,f1388,f645,f18423,f18419]) ).

fof(f18423,plain,
    ( spl69_146
  <=> duplicatefreeP(app(cons(sK68,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_146])]) ).

fof(f1930,plain,
    ( spl69_27
  <=> ssList(cons(sK68,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_27])]) ).

fof(f15303,plain,
    ( ~ duplicatefreeP(app(cons(sK68,sK19),sK19))
    | ~ ssList(app(cons(sK68,sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_27 ),
    inference(resolution,[],[f15163,f654]) ).

fof(f15163,plain,
    ( ~ sP6(app(cons(sK68,sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f15154,f1931]) ).

fof(f1931,plain,
    ( ssList(cons(sK68,nil))
    | ~ spl69_27 ),
    inference(avatar_component_clause,[],[f1930]) ).

fof(f15154,plain,
    ( ~ sP6(app(cons(sK68,sK19),sK19))
    | ~ ssList(cons(sK68,nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(superposition,[],[f15098,f1871]) ).

fof(f15098,plain,
    ( ! [X0] :
        ( ~ sP6(app(app(X0,sK19),sK19))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f15087,f1667]) ).

fof(f15087,plain,
    ( ! [X0] :
        ( ~ sP6(app(app(X0,sK19),sK19))
        | ~ ssList(X0)
        | ~ ssList(tl(sK19)) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(superposition,[],[f6652,f1453]) ).

fof(f18352,plain,
    ( ~ spl69_26
    | spl69_143 ),
    inference(avatar_contradiction_clause,[],[f18351]) ).

fof(f18351,plain,
    ( $false
    | ~ spl69_26
    | spl69_143 ),
    inference(subsumption_resolution,[],[f18350,f1887]) ).

fof(f1887,plain,
    ( ssList(cons(sK67,sK19))
    | ~ spl69_26 ),
    inference(avatar_component_clause,[],[f1885]) ).

fof(f1885,plain,
    ( spl69_26
  <=> ssList(cons(sK67,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_26])]) ).

fof(f18350,plain,
    ( ~ ssList(cons(sK67,sK19))
    | spl69_143 ),
    inference(subsumption_resolution,[],[f18349,f376]) ).

fof(f18349,plain,
    ( ~ ssList(sK19)
    | ~ ssList(cons(sK67,sK19))
    | spl69_143 ),
    inference(resolution,[],[f18343,f566]) ).

fof(f18343,plain,
    ( ~ ssList(app(cons(sK67,sK19),sK19))
    | spl69_143 ),
    inference(avatar_component_clause,[],[f18341]) ).

fof(f18341,plain,
    ( spl69_143
  <=> ssList(app(cons(sK67,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_143])]) ).

fof(f18348,plain,
    ( ~ spl69_143
    | ~ spl69_144
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_25 ),
    inference(avatar_split_clause,[],[f15249,f1881,f1514,f1470,f1388,f645,f18345,f18341]) ).

fof(f18345,plain,
    ( spl69_144
  <=> duplicatefreeP(app(cons(sK67,sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_144])]) ).

fof(f1881,plain,
    ( spl69_25
  <=> ssList(cons(sK67,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_25])]) ).

fof(f15249,plain,
    ( ~ duplicatefreeP(app(cons(sK67,sK19),sK19))
    | ~ ssList(app(cons(sK67,sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_25 ),
    inference(resolution,[],[f15162,f654]) ).

fof(f15162,plain,
    ( ~ sP6(app(cons(sK67,sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f15153,f1882]) ).

fof(f1882,plain,
    ( ssList(cons(sK67,nil))
    | ~ spl69_25 ),
    inference(avatar_component_clause,[],[f1881]) ).

fof(f15153,plain,
    ( ~ sP6(app(cons(sK67,sK19),sK19))
    | ~ ssList(cons(sK67,nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(superposition,[],[f15098,f1870]) ).

fof(f18171,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_142 ),
    inference(avatar_contradiction_clause,[],[f18170]) ).

fof(f18170,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_142 ),
    inference(subsumption_resolution,[],[f18169,f376]) ).

fof(f18169,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_142 ),
    inference(subsumption_resolution,[],[f18168,f1667]) ).

fof(f18168,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssList(sK19)
    | spl69_142 ),
    inference(resolution,[],[f18166,f566]) ).

fof(f18166,plain,
    ( ~ ssList(app(sK19,tl(sK19)))
    | spl69_142 ),
    inference(avatar_component_clause,[],[f18164]) ).

fof(f18167,plain,
    ( spl69_141
    | ~ spl69_142
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(avatar_split_clause,[],[f17649,f1514,f1470,f1388,f645,f18164,f18160]) ).

fof(f17649,plain,
    ( ~ ssList(app(sK19,tl(sK19)))
    | segmentP(app(sK19,tl(sK19)),tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f17648,f17487]) ).

fof(f17648,plain,
    ( segmentP(app(sK19,tl(sK19)),tl(sK19))
    | ~ ssList(app(app(sK19,tl(sK19)),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f17647,f1667]) ).

fof(f17647,plain,
    ( segmentP(app(sK19,tl(sK19)),tl(sK19))
    | ~ ssList(tl(sK19))
    | ~ ssList(app(app(sK19,tl(sK19)),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f17646,f376]) ).

fof(f17646,plain,
    ( segmentP(app(sK19,tl(sK19)),tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(app(app(sK19,tl(sK19)),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f17636,f394]) ).

fof(f17636,plain,
    ( segmentP(app(sK19,tl(sK19)),tl(sK19))
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(app(app(sK19,tl(sK19)),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(superposition,[],[f626,f17487]) ).

fof(f18008,plain,
    ( ~ spl69_15
    | spl69_139 ),
    inference(avatar_contradiction_clause,[],[f18007]) ).

fof(f18007,plain,
    ( $false
    | ~ spl69_15
    | spl69_139 ),
    inference(subsumption_resolution,[],[f18006,f1471]) ).

fof(f18006,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_139 ),
    inference(subsumption_resolution,[],[f18005,f376]) ).

fof(f18005,plain,
    ( ~ ssList(sK19)
    | ~ ssItem(hd(sK19))
    | spl69_139 ),
    inference(resolution,[],[f17976,f438]) ).

fof(f17976,plain,
    ( ~ sP1(hd(sK19),sK19)
    | spl69_139 ),
    inference(avatar_component_clause,[],[f17974]) ).

fof(f17974,plain,
    ( spl69_139
  <=> sP1(hd(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_139])]) ).

fof(f17981,plain,
    ( ~ spl69_139
    | ~ spl69_140
    | spl69_137 ),
    inference(avatar_split_clause,[],[f17956,f17948,f17978,f17974]) ).

fof(f17978,plain,
    ( spl69_140
  <=> sP0(sK19,hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_140])]) ).

fof(f17948,plain,
    ( spl69_137
  <=> totalorderedP(cons(hd(sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_137])]) ).

fof(f17956,plain,
    ( ~ sP0(sK19,hd(sK19))
    | ~ sP1(hd(sK19),sK19)
    | spl69_137 ),
    inference(resolution,[],[f17950,f432]) ).

fof(f17950,plain,
    ( ~ totalorderedP(cons(hd(sK19),sK19))
    | spl69_137 ),
    inference(avatar_component_clause,[],[f17948]) ).

fof(f17955,plain,
    ( ~ spl69_137
    | spl69_138
    | spl69_1
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(avatar_split_clause,[],[f15757,f2204,f1470,f645,f17952,f17948]) ).

fof(f17952,plain,
    ( spl69_138
  <=> sP0(cons(hd(sK19),sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_138])]) ).

fof(f15757,plain,
    ( sP0(cons(hd(sK19),sK19),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),sK19))
    | spl69_1
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(subsumption_resolution,[],[f15756,f1471]) ).

fof(f15756,plain,
    ( ~ ssItem(hd(sK19))
    | sP0(cons(hd(sK19),sK19),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),sK19))
    | spl69_1
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(forward_demodulation,[],[f15755,f1484]) ).

fof(f1484,plain,
    ( hd(sK19) = hd(cons(hd(sK19),sK19))
    | ~ spl69_15 ),
    inference(resolution,[],[f1471,f1011]) ).

fof(f15755,plain,
    ( sP0(cons(hd(sK19),sK19),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),sK19))
    | ~ ssItem(hd(cons(hd(sK19),sK19)))
    | spl69_1
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(subsumption_resolution,[],[f15597,f2544]) ).

fof(f2544,plain,
    ( nil != cons(hd(sK19),sK19)
    | spl69_1
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(subsumption_resolution,[],[f2201,f2205]) ).

fof(f2201,plain,
    ( nil != cons(hd(sK19),sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_1
    | ~ spl69_15 ),
    inference(subsumption_resolution,[],[f2200,f376]) ).

fof(f2200,plain,
    ( nil != cons(hd(sK19),sK19)
    | ~ ssList(sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | spl69_1
    | ~ spl69_15 ),
    inference(subsumption_resolution,[],[f2197,f647]) ).

fof(f2197,plain,
    ( nil != cons(hd(sK19),sK19)
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_15 ),
    inference(superposition,[],[f585,f1851]) ).

fof(f1851,plain,
    ( cons(hd(sK19),sK19) = app(cons(hd(sK19),nil),sK19)
    | ~ spl69_15 ),
    inference(resolution,[],[f1813,f1471]) ).

fof(f15597,plain,
    ( sP0(cons(hd(sK19),sK19),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),sK19))
    | nil = cons(hd(sK19),sK19)
    | ~ ssItem(hd(cons(hd(sK19),sK19)))
    | ~ spl69_15 ),
    inference(superposition,[],[f1238,f1484]) ).

fof(f17899,plain,
    ( ~ spl69_15
    | ~ spl69_97 ),
    inference(avatar_contradiction_clause,[],[f17898]) ).

fof(f17898,plain,
    ( $false
    | ~ spl69_15
    | ~ spl69_97 ),
    inference(subsumption_resolution,[],[f17897,f394]) ).

fof(f17897,plain,
    ( ~ ssList(nil)
    | ~ spl69_15
    | ~ spl69_97 ),
    inference(subsumption_resolution,[],[f17869,f1471]) ).

fof(f17869,plain,
    ( ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | ~ spl69_97 ),
    inference(trivial_inequality_removal,[],[f17837]) ).

fof(f17837,plain,
    ( nil != nil
    | ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | ~ spl69_97 ),
    inference(superposition,[],[f558,f10534]) ).

fof(f10534,plain,
    ( nil = cons(hd(sK19),nil)
    | ~ spl69_97 ),
    inference(avatar_component_clause,[],[f10532]) ).

fof(f17896,plain,
    ( ~ spl69_15
    | ~ spl69_97 ),
    inference(avatar_contradiction_clause,[],[f17895]) ).

fof(f17895,plain,
    ( $false
    | ~ spl69_15
    | ~ spl69_97 ),
    inference(subsumption_resolution,[],[f17894,f394]) ).

fof(f17894,plain,
    ( ~ ssList(nil)
    | ~ spl69_15
    | ~ spl69_97 ),
    inference(subsumption_resolution,[],[f17870,f1471]) ).

fof(f17870,plain,
    ( ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | ~ spl69_97 ),
    inference(trivial_inequality_removal,[],[f17836]) ).

fof(f17836,plain,
    ( nil != nil
    | ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | ~ spl69_97 ),
    inference(superposition,[],[f557,f10534]) ).

fof(f17889,plain,
    ( ~ spl69_15
    | ~ spl69_29
    | ~ spl69_97 ),
    inference(avatar_contradiction_clause,[],[f17888]) ).

fof(f17888,plain,
    ( $false
    | ~ spl69_15
    | ~ spl69_29
    | ~ spl69_97 ),
    inference(subsumption_resolution,[],[f17887,f2205]) ).

fof(f17887,plain,
    ( ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_15
    | ~ spl69_97 ),
    inference(subsumption_resolution,[],[f17886,f1471]) ).

fof(f17886,plain,
    ( ~ ssItem(hd(sK19))
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_97 ),
    inference(subsumption_resolution,[],[f17824,f386]) ).

fof(f17824,plain,
    ( singletonP(nil)
    | ~ ssItem(hd(sK19))
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_97 ),
    inference(superposition,[],[f611,f10534]) ).

fof(f17873,plain,
    ( ~ spl69_15
    | ~ spl69_97
    | spl69_98 ),
    inference(avatar_contradiction_clause,[],[f17872]) ).

fof(f17872,plain,
    ( $false
    | ~ spl69_15
    | ~ spl69_97
    | spl69_98 ),
    inference(subsumption_resolution,[],[f17871,f10538]) ).

fof(f10538,plain,
    ( sK19 != cons(hd(sK19),sK19)
    | spl69_98 ),
    inference(avatar_component_clause,[],[f10536]) ).

fof(f10536,plain,
    ( spl69_98
  <=> sK19 = cons(hd(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_98])]) ).

fof(f17871,plain,
    ( sK19 = cons(hd(sK19),sK19)
    | ~ spl69_15
    | ~ spl69_97 ),
    inference(forward_demodulation,[],[f17795,f695]) ).

fof(f17795,plain,
    ( app(nil,sK19) = cons(hd(sK19),sK19)
    | ~ spl69_15
    | ~ spl69_97 ),
    inference(superposition,[],[f1851,f10534]) ).

fof(f17773,plain,
    ( ~ spl69_15
    | spl69_135 ),
    inference(avatar_contradiction_clause,[],[f17772]) ).

fof(f17772,plain,
    ( $false
    | ~ spl69_15
    | spl69_135 ),
    inference(subsumption_resolution,[],[f17762,f1471]) ).

fof(f17762,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_135 ),
    inference(resolution,[],[f17733,f404]) ).

fof(f17733,plain,
    ( ~ totalorderedP(cons(hd(sK19),nil))
    | spl69_135 ),
    inference(avatar_component_clause,[],[f17731]) ).

fof(f17731,plain,
    ( spl69_135
  <=> totalorderedP(cons(hd(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_135])]) ).

fof(f17738,plain,
    ( ~ spl69_135
    | spl69_136
    | ~ spl69_15
    | spl69_97 ),
    inference(avatar_split_clause,[],[f15708,f10532,f1470,f17735,f17731]) ).

fof(f17735,plain,
    ( spl69_136
  <=> sP0(cons(hd(sK19),nil),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_136])]) ).

fof(f15708,plain,
    ( sP0(cons(hd(sK19),nil),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),nil))
    | ~ spl69_15
    | spl69_97 ),
    inference(subsumption_resolution,[],[f15707,f1471]) ).

fof(f15707,plain,
    ( ~ ssItem(hd(sK19))
    | sP0(cons(hd(sK19),nil),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),nil))
    | ~ spl69_15
    | spl69_97 ),
    inference(forward_demodulation,[],[f15706,f1482]) ).

fof(f1482,plain,
    ( hd(sK19) = hd(cons(hd(sK19),nil))
    | ~ spl69_15 ),
    inference(resolution,[],[f1471,f1008]) ).

fof(f15706,plain,
    ( sP0(cons(hd(sK19),nil),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),nil))
    | ~ ssItem(hd(cons(hd(sK19),nil)))
    | ~ spl69_15
    | spl69_97 ),
    inference(subsumption_resolution,[],[f15581,f10533]) ).

fof(f15581,plain,
    ( sP0(cons(hd(sK19),nil),hd(sK19))
    | ~ totalorderedP(cons(hd(sK19),nil))
    | nil = cons(hd(sK19),nil)
    | ~ ssItem(hd(cons(hd(sK19),nil)))
    | ~ spl69_15 ),
    inference(superposition,[],[f1238,f1482]) ).

fof(f17004,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_133 ),
    inference(avatar_contradiction_clause,[],[f17003]) ).

fof(f17003,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_133 ),
    inference(subsumption_resolution,[],[f17002,f601]) ).

fof(f17002,plain,
    ( ~ ssItem(sK68)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_133 ),
    inference(subsumption_resolution,[],[f17001,f1667]) ).

fof(f17001,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssItem(sK68)
    | spl69_133 ),
    inference(resolution,[],[f16995,f438]) ).

fof(f16995,plain,
    ( ~ sP1(sK68,tl(sK19))
    | spl69_133 ),
    inference(avatar_component_clause,[],[f16993]) ).

fof(f16993,plain,
    ( spl69_133
  <=> sP1(sK68,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_133])]) ).

fof(f17000,plain,
    ( ~ spl69_133
    | ~ spl69_134
    | spl69_132 ),
    inference(avatar_split_clause,[],[f16983,f16979,f16997,f16993]) ).

fof(f16997,plain,
    ( spl69_134
  <=> sP0(tl(sK19),sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_134])]) ).

fof(f16979,plain,
    ( spl69_132
  <=> totalorderedP(cons(sK68,tl(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_132])]) ).

fof(f16983,plain,
    ( ~ sP0(tl(sK19),sK68)
    | ~ sP1(sK68,tl(sK19))
    | spl69_132 ),
    inference(resolution,[],[f16981,f432]) ).

fof(f16981,plain,
    ( ~ totalorderedP(cons(sK68,tl(sK19)))
    | spl69_132 ),
    inference(avatar_component_clause,[],[f16979]) ).

fof(f16982,plain,
    ( spl69_131
    | ~ spl69_132
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_104 ),
    inference(avatar_split_clause,[],[f15795,f11076,f1514,f1470,f1388,f645,f16979,f16975]) ).

fof(f16975,plain,
    ( spl69_131
  <=> sP0(cons(sK68,tl(sK19)),sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_131])]) ).

fof(f11076,plain,
    ( spl69_104
  <=> nil = cons(sK68,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_104])]) ).

fof(f15795,plain,
    ( ~ totalorderedP(cons(sK68,tl(sK19)))
    | sP0(cons(sK68,tl(sK19)),sK68)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_104 ),
    inference(subsumption_resolution,[],[f15794,f601]) ).

fof(f15794,plain,
    ( ~ ssItem(sK68)
    | ~ totalorderedP(cons(sK68,tl(sK19)))
    | sP0(cons(sK68,tl(sK19)),sK68)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_104 ),
    inference(forward_demodulation,[],[f15793,f1559]) ).

fof(f1559,plain,
    ( sK68 = hd(cons(sK68,sK22(sK19)))
    | ~ spl69_17 ),
    inference(resolution,[],[f1533,f601]) ).

fof(f15793,plain,
    ( ~ totalorderedP(cons(sK68,tl(sK19)))
    | sP0(cons(sK68,tl(sK19)),sK68)
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_104 ),
    inference(subsumption_resolution,[],[f15792,f11077]) ).

fof(f11077,plain,
    ( nil != cons(sK68,tl(sK19))
    | spl69_104 ),
    inference(avatar_component_clause,[],[f11076]) ).

fof(f15792,plain,
    ( nil = cons(sK68,tl(sK19))
    | ~ totalorderedP(cons(sK68,tl(sK19)))
    | sP0(cons(sK68,tl(sK19)),sK68)
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f15791,f1663]) ).

fof(f15791,plain,
    ( ~ totalorderedP(cons(sK68,tl(sK19)))
    | sP0(cons(sK68,tl(sK19)),sK68)
    | nil = cons(sK68,sK22(sK19))
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f15790,f1663]) ).

fof(f15790,plain,
    ( sP0(cons(sK68,tl(sK19)),sK68)
    | ~ totalorderedP(cons(sK68,sK22(sK19)))
    | nil = cons(sK68,sK22(sK19))
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f15615,f1663]) ).

fof(f15615,plain,
    ( sP0(cons(sK68,sK22(sK19)),sK68)
    | ~ totalorderedP(cons(sK68,sK22(sK19)))
    | nil = cons(sK68,sK22(sK19))
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | ~ spl69_17 ),
    inference(superposition,[],[f1238,f1559]) ).

fof(f16837,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_129 ),
    inference(avatar_contradiction_clause,[],[f16836]) ).

fof(f16836,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_129 ),
    inference(subsumption_resolution,[],[f16835,f600]) ).

fof(f16835,plain,
    ( ~ ssItem(sK67)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_129 ),
    inference(subsumption_resolution,[],[f16834,f1667]) ).

fof(f16834,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssItem(sK67)
    | spl69_129 ),
    inference(resolution,[],[f16828,f438]) ).

fof(f16828,plain,
    ( ~ sP1(sK67,tl(sK19))
    | spl69_129 ),
    inference(avatar_component_clause,[],[f16826]) ).

fof(f16826,plain,
    ( spl69_129
  <=> sP1(sK67,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_129])]) ).

fof(f16833,plain,
    ( ~ spl69_129
    | ~ spl69_130
    | spl69_128 ),
    inference(avatar_split_clause,[],[f16816,f16724,f16830,f16826]) ).

fof(f16830,plain,
    ( spl69_130
  <=> sP0(tl(sK19),sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_130])]) ).

fof(f16724,plain,
    ( spl69_128
  <=> totalorderedP(cons(sK67,tl(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_128])]) ).

fof(f16816,plain,
    ( ~ sP0(tl(sK19),sK67)
    | ~ sP1(sK67,tl(sK19))
    | spl69_128 ),
    inference(resolution,[],[f16726,f432]) ).

fof(f16726,plain,
    ( ~ totalorderedP(cons(sK67,tl(sK19)))
    | spl69_128 ),
    inference(avatar_component_clause,[],[f16724]) ).

fof(f16727,plain,
    ( spl69_127
    | ~ spl69_128
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_102 ),
    inference(avatar_split_clause,[],[f15789,f11067,f1514,f1470,f1388,f645,f16724,f16720]) ).

fof(f16720,plain,
    ( spl69_127
  <=> sP0(cons(sK67,tl(sK19)),sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_127])]) ).

fof(f11067,plain,
    ( spl69_102
  <=> nil = cons(sK67,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_102])]) ).

fof(f15789,plain,
    ( ~ totalorderedP(cons(sK67,tl(sK19)))
    | sP0(cons(sK67,tl(sK19)),sK67)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_102 ),
    inference(subsumption_resolution,[],[f15788,f600]) ).

fof(f15788,plain,
    ( ~ ssItem(sK67)
    | ~ totalorderedP(cons(sK67,tl(sK19)))
    | sP0(cons(sK67,tl(sK19)),sK67)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_102 ),
    inference(forward_demodulation,[],[f15787,f1558]) ).

fof(f1558,plain,
    ( sK67 = hd(cons(sK67,sK22(sK19)))
    | ~ spl69_17 ),
    inference(resolution,[],[f1533,f600]) ).

fof(f15787,plain,
    ( ~ totalorderedP(cons(sK67,tl(sK19)))
    | sP0(cons(sK67,tl(sK19)),sK67)
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_102 ),
    inference(subsumption_resolution,[],[f15786,f11068]) ).

fof(f11068,plain,
    ( nil != cons(sK67,tl(sK19))
    | spl69_102 ),
    inference(avatar_component_clause,[],[f11067]) ).

fof(f15786,plain,
    ( nil = cons(sK67,tl(sK19))
    | ~ totalorderedP(cons(sK67,tl(sK19)))
    | sP0(cons(sK67,tl(sK19)),sK67)
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f15785,f1663]) ).

fof(f15785,plain,
    ( ~ totalorderedP(cons(sK67,tl(sK19)))
    | sP0(cons(sK67,tl(sK19)),sK67)
    | nil = cons(sK67,sK22(sK19))
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f15784,f1663]) ).

fof(f15784,plain,
    ( sP0(cons(sK67,tl(sK19)),sK67)
    | ~ totalorderedP(cons(sK67,sK22(sK19)))
    | nil = cons(sK67,sK22(sK19))
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f15614,f1663]) ).

fof(f15614,plain,
    ( sP0(cons(sK67,sK22(sK19)),sK67)
    | ~ totalorderedP(cons(sK67,sK22(sK19)))
    | nil = cons(sK67,sK22(sK19))
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | ~ spl69_17 ),
    inference(superposition,[],[f1238,f1558]) ).

fof(f16026,plain,
    ( ~ spl69_125
    | spl69_126
    | spl69_1
    | ~ spl69_15
    | spl69_81 ),
    inference(avatar_split_clause,[],[f15851,f8655,f1470,f645,f16023,f16019]) ).

fof(f16019,plain,
    ( spl69_125
  <=> totalorderedP(app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_125])]) ).

fof(f16023,plain,
    ( spl69_126
  <=> sP0(app(sK19,sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_126])]) ).

fof(f15851,plain,
    ( sP0(app(sK19,sK19),hd(sK19))
    | ~ totalorderedP(app(sK19,sK19))
    | spl69_1
    | ~ spl69_15
    | spl69_81 ),
    inference(subsumption_resolution,[],[f15850,f1471]) ).

fof(f15850,plain,
    ( ~ ssItem(hd(sK19))
    | sP0(app(sK19,sK19),hd(sK19))
    | ~ totalorderedP(app(sK19,sK19))
    | spl69_1
    | spl69_81 ),
    inference(forward_demodulation,[],[f15849,f5741]) ).

fof(f15849,plain,
    ( sP0(app(sK19,sK19),hd(sK19))
    | ~ totalorderedP(app(sK19,sK19))
    | ~ ssItem(hd(app(sK19,sK19)))
    | spl69_1
    | spl69_81 ),
    inference(subsumption_resolution,[],[f15642,f8656]) ).

fof(f15642,plain,
    ( sP0(app(sK19,sK19),hd(sK19))
    | ~ totalorderedP(app(sK19,sK19))
    | nil = app(sK19,sK19)
    | ~ ssItem(hd(app(sK19,sK19)))
    | spl69_1 ),
    inference(superposition,[],[f1238,f5741]) ).

fof(f15993,plain,
    spl69_123,
    inference(avatar_contradiction_clause,[],[f15992]) ).

fof(f15992,plain,
    ( $false
    | spl69_123 ),
    inference(subsumption_resolution,[],[f15991,f601]) ).

fof(f15991,plain,
    ( ~ ssItem(sK68)
    | spl69_123 ),
    inference(subsumption_resolution,[],[f15990,f376]) ).

fof(f15990,plain,
    ( ~ ssList(sK19)
    | ~ ssItem(sK68)
    | spl69_123 ),
    inference(resolution,[],[f15984,f438]) ).

fof(f15984,plain,
    ( ~ sP1(sK68,sK19)
    | spl69_123 ),
    inference(avatar_component_clause,[],[f15982]) ).

fof(f15982,plain,
    ( spl69_123
  <=> sP1(sK68,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_123])]) ).

fof(f15989,plain,
    ( ~ spl69_123
    | ~ spl69_124
    | spl69_121 ),
    inference(avatar_split_clause,[],[f15964,f15956,f15986,f15982]) ).

fof(f15986,plain,
    ( spl69_124
  <=> sP0(sK19,sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_124])]) ).

fof(f15956,plain,
    ( spl69_121
  <=> totalorderedP(cons(sK68,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_121])]) ).

fof(f15964,plain,
    ( ~ sP0(sK19,sK68)
    | ~ sP1(sK68,sK19)
    | spl69_121 ),
    inference(resolution,[],[f15958,f432]) ).

fof(f15958,plain,
    ( ~ totalorderedP(cons(sK68,sK19))
    | spl69_121 ),
    inference(avatar_component_clause,[],[f15956]) ).

fof(f15963,plain,
    ( ~ spl69_121
    | spl69_122
    | spl69_1
    | ~ spl69_27 ),
    inference(avatar_split_clause,[],[f15783,f1930,f645,f15960,f15956]) ).

fof(f15960,plain,
    ( spl69_122
  <=> sP0(cons(sK68,sK19),sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_122])]) ).

fof(f15783,plain,
    ( sP0(cons(sK68,sK19),sK68)
    | ~ totalorderedP(cons(sK68,sK19))
    | spl69_1
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f15782,f601]) ).

fof(f15782,plain,
    ( ~ ssItem(sK68)
    | sP0(cons(sK68,sK19),sK68)
    | ~ totalorderedP(cons(sK68,sK19))
    | spl69_1
    | ~ spl69_27 ),
    inference(forward_demodulation,[],[f15781,f1083]) ).

fof(f15781,plain,
    ( sP0(cons(sK68,sK19),sK68)
    | ~ totalorderedP(cons(sK68,sK19))
    | ~ ssItem(hd(cons(sK68,sK19)))
    | spl69_1
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f15613,f1978]) ).

fof(f1978,plain,
    ( nil != cons(sK68,sK19)
    | spl69_1
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f1927,f1931]) ).

fof(f15613,plain,
    ( sP0(cons(sK68,sK19),sK68)
    | ~ totalorderedP(cons(sK68,sK19))
    | nil = cons(sK68,sK19)
    | ~ ssItem(hd(cons(sK68,sK19))) ),
    inference(superposition,[],[f1238,f1083]) ).

fof(f15954,plain,
    spl69_119,
    inference(avatar_contradiction_clause,[],[f15953]) ).

fof(f15953,plain,
    ( $false
    | spl69_119 ),
    inference(subsumption_resolution,[],[f15952,f600]) ).

fof(f15952,plain,
    ( ~ ssItem(sK67)
    | spl69_119 ),
    inference(subsumption_resolution,[],[f15951,f376]) ).

fof(f15951,plain,
    ( ~ ssList(sK19)
    | ~ ssItem(sK67)
    | spl69_119 ),
    inference(resolution,[],[f15945,f438]) ).

fof(f15945,plain,
    ( ~ sP1(sK67,sK19)
    | spl69_119 ),
    inference(avatar_component_clause,[],[f15943]) ).

fof(f15943,plain,
    ( spl69_119
  <=> sP1(sK67,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_119])]) ).

fof(f15950,plain,
    ( ~ spl69_119
    | ~ spl69_120
    | spl69_117 ),
    inference(avatar_split_clause,[],[f15925,f15917,f15947,f15943]) ).

fof(f15947,plain,
    ( spl69_120
  <=> sP0(sK19,sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_120])]) ).

fof(f15917,plain,
    ( spl69_117
  <=> totalorderedP(cons(sK67,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_117])]) ).

fof(f15925,plain,
    ( ~ sP0(sK19,sK67)
    | ~ sP1(sK67,sK19)
    | spl69_117 ),
    inference(resolution,[],[f15919,f432]) ).

fof(f15919,plain,
    ( ~ totalorderedP(cons(sK67,sK19))
    | spl69_117 ),
    inference(avatar_component_clause,[],[f15917]) ).

fof(f15924,plain,
    ( ~ spl69_117
    | spl69_118
    | spl69_1
    | ~ spl69_25 ),
    inference(avatar_split_clause,[],[f15780,f1881,f645,f15921,f15917]) ).

fof(f15921,plain,
    ( spl69_118
  <=> sP0(cons(sK67,sK19),sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_118])]) ).

fof(f15780,plain,
    ( sP0(cons(sK67,sK19),sK67)
    | ~ totalorderedP(cons(sK67,sK19))
    | spl69_1
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f15779,f600]) ).

fof(f15779,plain,
    ( ~ ssItem(sK67)
    | sP0(cons(sK67,sK19),sK67)
    | ~ totalorderedP(cons(sK67,sK19))
    | spl69_1
    | ~ spl69_25 ),
    inference(forward_demodulation,[],[f15778,f1082]) ).

fof(f15778,plain,
    ( sP0(cons(sK67,sK19),sK67)
    | ~ totalorderedP(cons(sK67,sK19))
    | ~ ssItem(hd(cons(sK67,sK19)))
    | spl69_1
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f15612,f1977]) ).

fof(f1977,plain,
    ( nil != cons(sK67,sK19)
    | spl69_1
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f1878,f1882]) ).

fof(f15612,plain,
    ( sP0(cons(sK67,sK19),sK67)
    | ~ totalorderedP(cons(sK67,sK19))
    | nil = cons(sK67,sK19)
    | ~ ssItem(hd(cons(sK67,sK19))) ),
    inference(superposition,[],[f1238,f1082]) ).

fof(f15904,plain,
    spl69_116,
    inference(avatar_contradiction_clause,[],[f15903]) ).

fof(f15903,plain,
    ( $false
    | spl69_116 ),
    inference(subsumption_resolution,[],[f15893,f601]) ).

fof(f15893,plain,
    ( ~ ssItem(sK68)
    | spl69_116 ),
    inference(resolution,[],[f15891,f404]) ).

fof(f15891,plain,
    ( ~ totalorderedP(cons(sK68,nil))
    | spl69_116 ),
    inference(avatar_component_clause,[],[f15889]) ).

fof(f15889,plain,
    ( spl69_116
  <=> totalorderedP(cons(sK68,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_116])]) ).

fof(f15892,plain,
    ( spl69_115
    | ~ spl69_116
    | ~ spl69_2
    | spl69_37 ),
    inference(avatar_split_clause,[],[f15754,f2461,f649,f15889,f15885]) ).

fof(f15885,plain,
    ( spl69_115
  <=> sP0(cons(sK68,nil),sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_115])]) ).

fof(f2461,plain,
    ( spl69_37
  <=> nil = cons(sK68,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_37])]) ).

fof(f15754,plain,
    ( ~ totalorderedP(cons(sK68,nil))
    | sP0(cons(sK68,nil),sK68)
    | ~ spl69_2
    | spl69_37 ),
    inference(subsumption_resolution,[],[f15753,f601]) ).

fof(f15753,plain,
    ( ~ ssItem(sK68)
    | ~ totalorderedP(cons(sK68,nil))
    | sP0(cons(sK68,nil),sK68)
    | ~ spl69_2
    | spl69_37 ),
    inference(forward_demodulation,[],[f15752,f1057]) ).

fof(f15752,plain,
    ( ~ totalorderedP(cons(sK68,nil))
    | sP0(cons(sK68,nil),sK68)
    | ~ ssItem(hd(cons(sK68,sK18)))
    | ~ spl69_2
    | spl69_37 ),
    inference(subsumption_resolution,[],[f15751,f2462]) ).

fof(f2462,plain,
    ( nil != cons(sK68,nil)
    | spl69_37 ),
    inference(avatar_component_clause,[],[f2461]) ).

fof(f15751,plain,
    ( nil = cons(sK68,nil)
    | ~ totalorderedP(cons(sK68,nil))
    | sP0(cons(sK68,nil),sK68)
    | ~ ssItem(hd(cons(sK68,sK18)))
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f15750,f650]) ).

fof(f15750,plain,
    ( ~ totalorderedP(cons(sK68,nil))
    | sP0(cons(sK68,nil),sK68)
    | nil = cons(sK68,sK18)
    | ~ ssItem(hd(cons(sK68,sK18)))
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f15749,f650]) ).

fof(f15749,plain,
    ( sP0(cons(sK68,nil),sK68)
    | ~ totalorderedP(cons(sK68,sK18))
    | nil = cons(sK68,sK18)
    | ~ ssItem(hd(cons(sK68,sK18)))
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f15596,f650]) ).

fof(f15596,plain,
    ( sP0(cons(sK68,sK18),sK68)
    | ~ totalorderedP(cons(sK68,sK18))
    | nil = cons(sK68,sK18)
    | ~ ssItem(hd(cons(sK68,sK18))) ),
    inference(superposition,[],[f1238,f1057]) ).

fof(f15872,plain,
    spl69_114,
    inference(avatar_contradiction_clause,[],[f15871]) ).

fof(f15871,plain,
    ( $false
    | spl69_114 ),
    inference(subsumption_resolution,[],[f15861,f600]) ).

fof(f15861,plain,
    ( ~ ssItem(sK67)
    | spl69_114 ),
    inference(resolution,[],[f15859,f404]) ).

fof(f15859,plain,
    ( ~ totalorderedP(cons(sK67,nil))
    | spl69_114 ),
    inference(avatar_component_clause,[],[f15857]) ).

fof(f15857,plain,
    ( spl69_114
  <=> totalorderedP(cons(sK67,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_114])]) ).

fof(f15860,plain,
    ( spl69_113
    | ~ spl69_114
    | ~ spl69_2
    | spl69_35 ),
    inference(avatar_split_clause,[],[f15748,f2405,f649,f15857,f15853]) ).

fof(f15853,plain,
    ( spl69_113
  <=> sP0(cons(sK67,nil),sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_113])]) ).

fof(f2405,plain,
    ( spl69_35
  <=> nil = cons(sK67,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_35])]) ).

fof(f15748,plain,
    ( ~ totalorderedP(cons(sK67,nil))
    | sP0(cons(sK67,nil),sK67)
    | ~ spl69_2
    | spl69_35 ),
    inference(subsumption_resolution,[],[f15747,f600]) ).

fof(f15747,plain,
    ( ~ ssItem(sK67)
    | ~ totalorderedP(cons(sK67,nil))
    | sP0(cons(sK67,nil),sK67)
    | ~ spl69_2
    | spl69_35 ),
    inference(forward_demodulation,[],[f15746,f1056]) ).

fof(f15746,plain,
    ( ~ totalorderedP(cons(sK67,nil))
    | sP0(cons(sK67,nil),sK67)
    | ~ ssItem(hd(cons(sK67,sK18)))
    | ~ spl69_2
    | spl69_35 ),
    inference(subsumption_resolution,[],[f15745,f2406]) ).

fof(f2406,plain,
    ( nil != cons(sK67,nil)
    | spl69_35 ),
    inference(avatar_component_clause,[],[f2405]) ).

fof(f15745,plain,
    ( nil = cons(sK67,nil)
    | ~ totalorderedP(cons(sK67,nil))
    | sP0(cons(sK67,nil),sK67)
    | ~ ssItem(hd(cons(sK67,sK18)))
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f15744,f650]) ).

fof(f15744,plain,
    ( ~ totalorderedP(cons(sK67,nil))
    | sP0(cons(sK67,nil),sK67)
    | nil = cons(sK67,sK18)
    | ~ ssItem(hd(cons(sK67,sK18)))
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f15743,f650]) ).

fof(f15743,plain,
    ( sP0(cons(sK67,nil),sK67)
    | ~ totalorderedP(cons(sK67,sK18))
    | nil = cons(sK67,sK18)
    | ~ ssItem(hd(cons(sK67,sK18)))
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f15595,f650]) ).

fof(f15595,plain,
    ( sP0(cons(sK67,sK18),sK67)
    | ~ totalorderedP(cons(sK67,sK18))
    | nil = cons(sK67,sK18)
    | ~ ssItem(hd(cons(sK67,sK18))) ),
    inference(superposition,[],[f1238,f1056]) ).

fof(f13722,plain,
    ( ~ spl69_111
    | spl69_112
    | ~ spl69_27
    | ~ spl69_28
    | ~ spl69_83
    | ~ spl69_106 ),
    inference(avatar_split_clause,[],[f11419,f11350,f8806,f1934,f1930,f13719,f13715]) ).

fof(f13715,plain,
    ( spl69_111
  <=> frontsegP(cons(sK68,nil),app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_111])]) ).

fof(f13719,plain,
    ( spl69_112
  <=> frontsegP(cons(sK68,sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_112])]) ).

fof(f11350,plain,
    ( spl69_106
  <=> frontsegP(app(sK19,sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_106])]) ).

fof(f11419,plain,
    ( frontsegP(cons(sK68,sK19),sK19)
    | ~ frontsegP(cons(sK68,nil),app(sK19,sK19))
    | ~ spl69_27
    | ~ spl69_28
    | ~ spl69_83
    | ~ spl69_106 ),
    inference(subsumption_resolution,[],[f11418,f8807]) ).

fof(f11418,plain,
    ( frontsegP(cons(sK68,sK19),sK19)
    | ~ frontsegP(cons(sK68,nil),app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ spl69_27
    | ~ spl69_28
    | ~ spl69_83
    | ~ spl69_106 ),
    inference(subsumption_resolution,[],[f11404,f1936]) ).

fof(f11404,plain,
    ( frontsegP(cons(sK68,sK19),sK19)
    | ~ ssList(cons(sK68,sK19))
    | ~ frontsegP(cons(sK68,nil),app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ spl69_27
    | ~ spl69_83
    | ~ spl69_106 ),
    inference(resolution,[],[f11368,f2955]) ).

fof(f2955,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,sK19),X0)
        | ~ frontsegP(cons(sK68,nil),X0)
        | ~ ssList(X0) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f2954,f1931]) ).

fof(f2954,plain,
    ! [X0] :
      ( frontsegP(cons(sK68,sK19),X0)
      | ~ frontsegP(cons(sK68,nil),X0)
      | ~ ssList(X0)
      | ~ ssList(cons(sK68,nil)) ),
    inference(subsumption_resolution,[],[f2921,f376]) ).

fof(f2921,plain,
    ! [X0] :
      ( frontsegP(cons(sK68,sK19),X0)
      | ~ frontsegP(cons(sK68,nil),X0)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f593,f1871]) ).

fof(f11368,plain,
    ( ! [X0] :
        ( ~ frontsegP(X0,app(sK19,sK19))
        | frontsegP(X0,sK19)
        | ~ ssList(X0) )
    | ~ spl69_83
    | ~ spl69_106 ),
    inference(subsumption_resolution,[],[f11367,f8807]) ).

fof(f11367,plain,
    ( ! [X0] :
        ( frontsegP(X0,sK19)
        | ~ frontsegP(X0,app(sK19,sK19))
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_106 ),
    inference(subsumption_resolution,[],[f11364,f376]) ).

fof(f11364,plain,
    ( ! [X0] :
        ( frontsegP(X0,sK19)
        | ~ frontsegP(X0,app(sK19,sK19))
        | ~ ssList(sK19)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0) )
    | ~ spl69_106 ),
    inference(resolution,[],[f11352,f598]) ).

fof(f11352,plain,
    ( frontsegP(app(sK19,sK19),sK19)
    | ~ spl69_106 ),
    inference(avatar_component_clause,[],[f11350]) ).

fof(f13708,plain,
    ( ~ spl69_109
    | spl69_110
    | ~ spl69_25
    | ~ spl69_26
    | ~ spl69_83
    | ~ spl69_106 ),
    inference(avatar_split_clause,[],[f11417,f11350,f8806,f1885,f1881,f13705,f13701]) ).

fof(f13701,plain,
    ( spl69_109
  <=> frontsegP(cons(sK67,nil),app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_109])]) ).

fof(f13705,plain,
    ( spl69_110
  <=> frontsegP(cons(sK67,sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_110])]) ).

fof(f11417,plain,
    ( frontsegP(cons(sK67,sK19),sK19)
    | ~ frontsegP(cons(sK67,nil),app(sK19,sK19))
    | ~ spl69_25
    | ~ spl69_26
    | ~ spl69_83
    | ~ spl69_106 ),
    inference(subsumption_resolution,[],[f11416,f8807]) ).

fof(f11416,plain,
    ( frontsegP(cons(sK67,sK19),sK19)
    | ~ frontsegP(cons(sK67,nil),app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ spl69_25
    | ~ spl69_26
    | ~ spl69_83
    | ~ spl69_106 ),
    inference(subsumption_resolution,[],[f11401,f1887]) ).

fof(f11401,plain,
    ( frontsegP(cons(sK67,sK19),sK19)
    | ~ ssList(cons(sK67,sK19))
    | ~ frontsegP(cons(sK67,nil),app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ spl69_25
    | ~ spl69_83
    | ~ spl69_106 ),
    inference(resolution,[],[f11368,f2953]) ).

fof(f2953,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,sK19),X0)
        | ~ frontsegP(cons(sK67,nil),X0)
        | ~ ssList(X0) )
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f2952,f1882]) ).

fof(f2952,plain,
    ! [X0] :
      ( frontsegP(cons(sK67,sK19),X0)
      | ~ frontsegP(cons(sK67,nil),X0)
      | ~ ssList(X0)
      | ~ ssList(cons(sK67,nil)) ),
    inference(subsumption_resolution,[],[f2920,f376]) ).

fof(f2920,plain,
    ! [X0] :
      ( frontsegP(cons(sK67,sK19),X0)
      | ~ frontsegP(cons(sK67,nil),X0)
      | ~ ssList(sK19)
      | ~ ssList(X0)
      | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f593,f1870]) ).

fof(f13581,plain,
    ( ~ spl69_107
    | spl69_108
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(avatar_split_clause,[],[f9696,f8810,f1514,f1470,f1388,f645,f13578,f13574]) ).

fof(f13574,plain,
    ( spl69_107
  <=> segmentP(sK19,app(tl(sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_107])]) ).

fof(f13578,plain,
    ( spl69_108
  <=> sK19 = app(tl(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_108])]) ).

fof(f9696,plain,
    ( sK19 = app(tl(sK19),sK19)
    | ~ segmentP(sK19,app(tl(sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f9695,f376]) ).

fof(f9695,plain,
    ( sK19 = app(tl(sK19),sK19)
    | ~ segmentP(sK19,app(tl(sK19),sK19))
    | ~ ssList(sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f9690,f8812]) ).

fof(f9690,plain,
    ( sK19 = app(tl(sK19),sK19)
    | ~ segmentP(sK19,app(tl(sK19),sK19))
    | ~ ssList(app(tl(sK19),sK19))
    | ~ ssList(sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(resolution,[],[f9684,f571]) ).

fof(f9684,plain,
    ( segmentP(app(tl(sK19),sK19),sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f9683,f8812]) ).

fof(f9683,plain,
    ( ~ ssList(app(tl(sK19),sK19))
    | segmentP(app(tl(sK19),sK19),sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(forward_demodulation,[],[f9682,f8964]) ).

fof(f8964,plain,
    ( app(tl(sK19),sK19) = app(app(tl(sK19),sK19),nil)
    | ~ spl69_84 ),
    inference(resolution,[],[f8812,f456]) ).

fof(f9682,plain,
    ( segmentP(app(tl(sK19),sK19),sK19)
    | ~ ssList(app(app(tl(sK19),sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f9681,f376]) ).

fof(f9681,plain,
    ( segmentP(app(tl(sK19),sK19),sK19)
    | ~ ssList(sK19)
    | ~ ssList(app(app(tl(sK19),sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f9680,f1667]) ).

fof(f9680,plain,
    ( segmentP(app(tl(sK19),sK19),sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(app(app(tl(sK19),sK19),nil))
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f9663,f394]) ).

fof(f9663,plain,
    ( segmentP(app(tl(sK19),sK19),sK19)
    | ~ ssList(nil)
    | ~ ssList(tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(app(app(tl(sK19),sK19),nil))
    | ~ spl69_84 ),
    inference(superposition,[],[f626,f8964]) ).

fof(f11386,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_51
    | spl69_105 ),
    inference(avatar_contradiction_clause,[],[f11385]) ).

fof(f11385,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_51
    | spl69_105 ),
    inference(subsumption_resolution,[],[f11384,f1667]) ).

fof(f11384,plain,
    ( ~ ssList(tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_51
    | spl69_105 ),
    inference(subsumption_resolution,[],[f11383,f376]) ).

fof(f11383,plain,
    ( ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_51
    | spl69_105 ),
    inference(subsumption_resolution,[],[f11379,f10396]) ).

fof(f10396,plain,
    ( frontsegP(tl(sK19),tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_51 ),
    inference(forward_demodulation,[],[f10395,f4041]) ).

fof(f4041,plain,
    ( tl(sK19) = sK63(tl(sK19),nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_51 ),
    inference(forward_demodulation,[],[f4028,f3630]) ).

fof(f3630,plain,
    ( tl(sK19) = app(sK63(tl(sK19),nil),nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f3595,f1663]) ).

fof(f3595,plain,
    ( sK22(sK19) = app(sK63(sK22(sK19),nil),nil)
    | ~ spl69_17 ),
    inference(resolution,[],[f2610,f1515]) ).

fof(f4028,plain,
    ( sK63(tl(sK19),nil) = app(sK63(tl(sK19),nil),nil)
    | ~ spl69_51 ),
    inference(resolution,[],[f4006,f456]) ).

fof(f4006,plain,
    ( ssList(sK63(tl(sK19),nil))
    | ~ spl69_51 ),
    inference(avatar_component_clause,[],[f4005]) ).

fof(f4005,plain,
    ( spl69_51
  <=> ssList(sK63(tl(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_51])]) ).

fof(f10395,plain,
    ( frontsegP(tl(sK19),sK63(tl(sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_51 ),
    inference(subsumption_resolution,[],[f3755,f4006]) ).

fof(f3755,plain,
    ( frontsegP(tl(sK19),sK63(tl(sK19),nil))
    | ~ ssList(sK63(tl(sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f3751,f394]) ).

fof(f3751,plain,
    ( frontsegP(tl(sK19),sK63(tl(sK19),nil))
    | ~ ssList(nil)
    | ~ ssList(sK63(tl(sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(superposition,[],[f2302,f3630]) ).

fof(f11379,plain,
    ( ~ frontsegP(tl(sK19),tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_105 ),
    inference(duplicate_literal_removal,[],[f11378]) ).

fof(f11378,plain,
    ( ~ frontsegP(tl(sK19),tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(tl(sK19))
    | spl69_105 ),
    inference(resolution,[],[f11348,f593]) ).

fof(f11348,plain,
    ( ~ frontsegP(app(tl(sK19),sK19),tl(sK19))
    | spl69_105 ),
    inference(avatar_component_clause,[],[f11346]) ).

fof(f11346,plain,
    ( spl69_105
  <=> frontsegP(app(tl(sK19),sK19),tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_105])]) ).

fof(f11382,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_105 ),
    inference(avatar_contradiction_clause,[],[f11381]) ).

fof(f11381,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_105 ),
    inference(subsumption_resolution,[],[f11380,f1667]) ).

fof(f11380,plain,
    ( ~ ssList(tl(sK19))
    | spl69_105 ),
    inference(subsumption_resolution,[],[f11377,f376]) ).

fof(f11377,plain,
    ( ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_105 ),
    inference(resolution,[],[f11348,f2302]) ).

fof(f11363,plain,
    ( ~ spl69_49
    | spl69_106 ),
    inference(avatar_contradiction_clause,[],[f11362]) ).

fof(f11362,plain,
    ( $false
    | ~ spl69_49
    | spl69_106 ),
    inference(subsumption_resolution,[],[f11361,f376]) ).

fof(f11361,plain,
    ( ~ ssList(sK19)
    | ~ spl69_49
    | spl69_106 ),
    inference(subsumption_resolution,[],[f11357,f3757]) ).

fof(f3757,plain,
    ( frontsegP(sK19,sK19)
    | ~ spl69_49 ),
    inference(forward_demodulation,[],[f3756,f3739]) ).

fof(f3739,plain,
    ( sK19 = sK63(sK19,nil)
    | ~ spl69_49 ),
    inference(forward_demodulation,[],[f3726,f3591]) ).

fof(f3726,plain,
    ( sK63(sK19,nil) = app(sK63(sK19,nil),nil)
    | ~ spl69_49 ),
    inference(resolution,[],[f3704,f456]) ).

fof(f3704,plain,
    ( ssList(sK63(sK19,nil))
    | ~ spl69_49 ),
    inference(avatar_component_clause,[],[f3703]) ).

fof(f3703,plain,
    ( spl69_49
  <=> ssList(sK63(sK19,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_49])]) ).

fof(f3756,plain,
    ( frontsegP(sK19,sK63(sK19,nil))
    | ~ spl69_49 ),
    inference(subsumption_resolution,[],[f3646,f3704]) ).

fof(f11357,plain,
    ( ~ frontsegP(sK19,sK19)
    | ~ ssList(sK19)
    | spl69_106 ),
    inference(duplicate_literal_removal,[],[f11356]) ).

fof(f11356,plain,
    ( ~ frontsegP(sK19,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_106 ),
    inference(resolution,[],[f11351,f593]) ).

fof(f11351,plain,
    ( ~ frontsegP(app(sK19,sK19),sK19)
    | spl69_106 ),
    inference(avatar_component_clause,[],[f11350]) ).

fof(f11360,plain,
    spl69_106,
    inference(avatar_contradiction_clause,[],[f11359]) ).

fof(f11359,plain,
    ( $false
    | spl69_106 ),
    inference(subsumption_resolution,[],[f11358,f376]) ).

fof(f11358,plain,
    ( ~ ssList(sK19)
    | spl69_106 ),
    inference(duplicate_literal_removal,[],[f11355]) ).

fof(f11355,plain,
    ( ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_106 ),
    inference(resolution,[],[f11351,f2302]) ).

fof(f11353,plain,
    ( ~ spl69_105
    | spl69_106
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83
    | ~ spl69_84 ),
    inference(avatar_split_clause,[],[f9581,f8810,f8806,f8655,f1514,f1470,f1388,f645,f11350,f11346]) ).

fof(f9581,plain,
    ( frontsegP(app(sK19,sK19),sK19)
    | ~ frontsegP(app(tl(sK19),sK19),tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f9545,f8812]) ).

fof(f9545,plain,
    ( frontsegP(app(sK19,sK19),sK19)
    | ~ frontsegP(app(tl(sK19),sK19),tl(sK19))
    | ~ ssList(app(tl(sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_81
    | ~ spl69_83 ),
    inference(superposition,[],[f4441,f8956]) ).

fof(f4441,plain,
    ( ! [X0] :
        ( frontsegP(cons(hd(sK19),X0),sK19)
        | ~ frontsegP(X0,tl(sK19))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f4440,f1663]) ).

fof(f4440,plain,
    ( ! [X0] :
        ( frontsegP(cons(hd(sK19),X0),sK19)
        | ~ frontsegP(X0,sK22(sK19))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f4439,f1560]) ).

fof(f4439,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK23(sK19),X0),sK19)
        | ~ frontsegP(X0,sK22(sK19))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f4438,f1389]) ).

fof(f4438,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK23(sK19),X0),sK19)
        | ~ frontsegP(X0,sK22(sK19))
        | ~ ssList(X0)
        | ~ ssItem(sK23(sK19)) )
    | spl69_1
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f4420,f1515]) ).

fof(f4420,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK23(sK19),X0),sK19)
        | ~ frontsegP(X0,sK22(sK19))
        | ~ ssList(sK22(sK19))
        | ~ ssList(X0)
        | ~ ssItem(sK23(sK19)) )
    | spl69_1 ),
    inference(superposition,[],[f632,f1371]) ).

fof(f11079,plain,
    ( ~ spl69_103
    | spl69_104
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(avatar_split_clause,[],[f8644,f1514,f1470,f1388,f645,f11076,f11072]) ).

fof(f11072,plain,
    ( spl69_103
  <=> sP2(cons(sK68,tl(sK19)),sK68) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_103])]) ).

fof(f8644,plain,
    ( nil = cons(sK68,tl(sK19))
    | ~ sP2(cons(sK68,tl(sK19)),sK68)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f8643,f601]) ).

fof(f8643,plain,
    ( ~ ssItem(sK68)
    | nil = cons(sK68,tl(sK19))
    | ~ sP2(cons(sK68,tl(sK19)),sK68)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f8642,f1559]) ).

fof(f8642,plain,
    ( nil = cons(sK68,tl(sK19))
    | ~ sP2(cons(sK68,tl(sK19)),sK68)
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f8641,f1663]) ).

fof(f8641,plain,
    ( ~ sP2(cons(sK68,tl(sK19)),sK68)
    | nil = cons(sK68,sK22(sK19))
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f8543,f1663]) ).

fof(f8543,plain,
    ( ~ sP2(cons(sK68,sK22(sK19)),sK68)
    | nil = cons(sK68,sK22(sK19))
    | ~ ssItem(hd(cons(sK68,sK22(sK19))))
    | ~ spl69_17 ),
    inference(superposition,[],[f845,f1559]) ).

fof(f11070,plain,
    ( ~ spl69_101
    | spl69_102
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(avatar_split_clause,[],[f8640,f1514,f1470,f1388,f645,f11067,f11063]) ).

fof(f11063,plain,
    ( spl69_101
  <=> sP2(cons(sK67,tl(sK19)),sK67) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_101])]) ).

fof(f8640,plain,
    ( nil = cons(sK67,tl(sK19))
    | ~ sP2(cons(sK67,tl(sK19)),sK67)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f8639,f600]) ).

fof(f8639,plain,
    ( ~ ssItem(sK67)
    | nil = cons(sK67,tl(sK19))
    | ~ sP2(cons(sK67,tl(sK19)),sK67)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f8638,f1558]) ).

fof(f8638,plain,
    ( nil = cons(sK67,tl(sK19))
    | ~ sP2(cons(sK67,tl(sK19)),sK67)
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f8637,f1663]) ).

fof(f8637,plain,
    ( ~ sP2(cons(sK67,tl(sK19)),sK67)
    | nil = cons(sK67,sK22(sK19))
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f8542,f1663]) ).

fof(f8542,plain,
    ( ~ sP2(cons(sK67,sK22(sK19)),sK67)
    | nil = cons(sK67,sK22(sK19))
    | ~ ssItem(hd(cons(sK67,sK22(sK19))))
    | ~ spl69_17 ),
    inference(superposition,[],[f845,f1558]) ).

fof(f10729,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_79
    | ~ spl69_99 ),
    inference(avatar_contradiction_clause,[],[f10728]) ).

fof(f10728,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_79
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10727,f1667]) ).

fof(f10727,plain,
    ( ~ ssList(tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_79
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10726,f376]) ).

fof(f10726,plain,
    ( ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_79
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10681,f7860]) ).

fof(f7860,plain,
    ( ~ frontsegP(nil,tl(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_79 ),
    inference(subsumption_resolution,[],[f7859,f1667]) ).

fof(f7859,plain,
    ( ~ frontsegP(nil,tl(sK19))
    | ~ ssList(tl(sK19))
    | spl69_79 ),
    inference(resolution,[],[f7845,f2951]) ).

fof(f7845,plain,
    ( ~ frontsegP(sK19,tl(sK19))
    | spl69_79 ),
    inference(avatar_component_clause,[],[f7843]) ).

fof(f7843,plain,
    ( spl69_79
  <=> frontsegP(sK19,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_79])]) ).

fof(f10681,plain,
    ( frontsegP(nil,tl(sK19))
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ spl69_99 ),
    inference(superposition,[],[f2302,f10641]) ).

fof(f10641,plain,
    ( nil = app(tl(sK19),sK19)
    | ~ spl69_99 ),
    inference(avatar_component_clause,[],[f10639]) ).

fof(f10639,plain,
    ( spl69_99
  <=> nil = app(tl(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_99])]) ).

fof(f10725,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_99 ),
    inference(avatar_contradiction_clause,[],[f10724]) ).

fof(f10724,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10723,f376]) ).

fof(f10723,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10722,f1667]) ).

fof(f10722,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssList(sK19)
    | spl69_1
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10680,f3202]) ).

fof(f10680,plain,
    ( rearsegP(nil,sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(sK19)
    | ~ spl69_99 ),
    inference(superposition,[],[f2167,f10641]) ).

fof(f10704,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_23
    | ~ spl69_99 ),
    inference(avatar_contradiction_clause,[],[f10703]) ).

fof(f10703,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_23
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10702,f1667]) ).

fof(f10702,plain,
    ( ~ ssList(tl(sK19))
    | spl69_23
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10701,f376]) ).

fof(f10701,plain,
    ( ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_23
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10682,f1772]) ).

fof(f1772,plain,
    ( nil != tl(sK19)
    | spl69_23 ),
    inference(avatar_component_clause,[],[f1771]) ).

fof(f1771,plain,
    ( spl69_23
  <=> nil = tl(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_23])]) ).

fof(f10682,plain,
    ( nil = tl(sK19)
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ spl69_99 ),
    inference(trivial_inequality_removal,[],[f10671]) ).

fof(f10671,plain,
    ( nil != nil
    | nil = tl(sK19)
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ spl69_99 ),
    inference(superposition,[],[f586,f10641]) ).

fof(f10700,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_99 ),
    inference(avatar_contradiction_clause,[],[f10699]) ).

fof(f10699,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10698,f1667]) ).

fof(f10698,plain,
    ( ~ ssList(tl(sK19))
    | spl69_1
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10697,f376]) ).

fof(f10697,plain,
    ( ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | spl69_1
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10683,f647]) ).

fof(f10683,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ spl69_99 ),
    inference(trivial_inequality_removal,[],[f10670]) ).

fof(f10670,plain,
    ( nil != nil
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(tl(sK19))
    | ~ spl69_99 ),
    inference(superposition,[],[f585,f10641]) ).

fof(f10688,plain,
    ( spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84
    | spl69_86
    | ~ spl69_99 ),
    inference(avatar_contradiction_clause,[],[f10687]) ).

fof(f10687,plain,
    ( $false
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84
    | spl69_86
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10662,f636]) ).

fof(f10662,plain,
    ( ~ segmentP(nil,nil)
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84
    | spl69_86
    | ~ spl69_99 ),
    inference(superposition,[],[f10080,f10641]) ).

fof(f10080,plain,
    ( ~ segmentP(nil,app(tl(sK19),sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84
    | spl69_86 ),
    inference(subsumption_resolution,[],[f10079,f8812]) ).

fof(f10079,plain,
    ( ~ segmentP(nil,app(tl(sK19),sK19))
    | ~ ssList(app(tl(sK19),sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84
    | spl69_86 ),
    inference(subsumption_resolution,[],[f10078,f1667]) ).

fof(f10078,plain,
    ( ~ ssList(tl(sK19))
    | ~ segmentP(nil,app(tl(sK19),sK19))
    | ~ ssList(app(tl(sK19),sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84
    | spl69_86 ),
    inference(subsumption_resolution,[],[f10055,f9411]) ).

fof(f9411,plain,
    ( ~ segmentP(tl(sK19),sK19)
    | spl69_86 ),
    inference(avatar_component_clause,[],[f9410]) ).

fof(f9410,plain,
    ( spl69_86
  <=> segmentP(tl(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_86])]) ).

fof(f10055,plain,
    ( segmentP(tl(sK19),sK19)
    | ~ ssList(tl(sK19))
    | ~ segmentP(nil,app(tl(sK19),sK19))
    | ~ ssList(app(tl(sK19),sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(resolution,[],[f9694,f7505]) ).

fof(f7505,plain,
    ( ! [X0] :
        ( segmentP(tl(sK19),X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f7504,f1663]) ).

fof(f7504,plain,
    ( ! [X0] :
        ( segmentP(sK22(sK19),X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_2
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f7477,f1515]) ).

fof(f7477,plain,
    ( ! [X0] :
        ( segmentP(sK22(sK19),X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(sK22(sK19))
        | ~ ssList(X0) )
    | ~ spl69_2
    | ~ spl69_17 ),
    inference(superposition,[],[f6485,f1527]) ).

fof(f1527,plain,
    ( sK22(sK19) = app(nil,sK22(sK19))
    | ~ spl69_17 ),
    inference(resolution,[],[f1515,f457]) ).

fof(f9694,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,app(tl(sK19),sK19))
        | segmentP(X0,sK19)
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f9693,f8812]) ).

fof(f9693,plain,
    ( ! [X0] :
        ( segmentP(X0,sK19)
        | ~ segmentP(X0,app(tl(sK19),sK19))
        | ~ ssList(app(tl(sK19),sK19))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f9689,f376]) ).

fof(f9689,plain,
    ( ! [X0] :
        ( segmentP(X0,sK19)
        | ~ segmentP(X0,app(tl(sK19),sK19))
        | ~ ssList(sK19)
        | ~ ssList(app(tl(sK19),sK19))
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84 ),
    inference(resolution,[],[f9684,f597]) ).

fof(f10685,plain,
    ( spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84
    | ~ spl69_99 ),
    inference(avatar_contradiction_clause,[],[f10684]) ).

fof(f10684,plain,
    ( $false
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84
    | ~ spl69_99 ),
    inference(subsumption_resolution,[],[f10655,f7769]) ).

fof(f7769,plain,
    ( ~ segmentP(nil,sK19)
    | spl69_1
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f7768,f647]) ).

fof(f7768,plain,
    ( nil = sK19
    | ~ segmentP(nil,sK19)
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f7767,f394]) ).

fof(f7767,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ segmentP(nil,sK19)
    | ~ spl69_2 ),
    inference(duplicate_literal_removal,[],[f7763]) ).

fof(f7763,plain,
    ( ~ ssList(nil)
    | nil = sK19
    | ~ segmentP(nil,sK19)
    | ~ ssList(nil)
    | ~ spl69_2 ),
    inference(resolution,[],[f7525,f455]) ).

fof(f7525,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | sK19 = X0
        | ~ segmentP(X0,sK19) )
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f7520,f376]) ).

fof(f7520,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | sK19 = X0
        | ~ segmentP(X0,sK19)
        | ~ ssList(sK19) )
    | ~ spl69_2 ),
    inference(duplicate_literal_removal,[],[f7519]) ).

fof(f7519,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | sK19 = X0
        | ~ segmentP(X0,sK19)
        | ~ ssList(sK19)
        | ~ ssList(X0) )
    | ~ spl69_2 ),
    inference(resolution,[],[f7503,f571]) ).

fof(f10655,plain,
    ( segmentP(nil,sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_84
    | ~ spl69_99 ),
    inference(superposition,[],[f9684,f10641]) ).

fof(f10646,plain,
    ( spl69_99
    | spl69_100
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_23
    | ~ spl69_84 ),
    inference(avatar_split_clause,[],[f9455,f8810,f1771,f1514,f1470,f1388,f645,f10643,f10639]) ).

fof(f10643,plain,
    ( spl69_100
  <=> ssList(app(tl(tl(sK19)),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_100])]) ).

fof(f9455,plain,
    ( ssList(app(tl(tl(sK19)),sK19))
    | nil = app(tl(sK19),sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_23
    | ~ spl69_84 ),
    inference(subsumption_resolution,[],[f9450,f8812]) ).

fof(f9450,plain,
    ( ssList(app(tl(tl(sK19)),sK19))
    | nil = app(tl(sK19),sK19)
    | ~ ssList(app(tl(sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_23 ),
    inference(superposition,[],[f462,f8752]) ).

fof(f8752,plain,
    ( tl(app(tl(sK19),sK19)) = app(tl(tl(sK19)),sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_23 ),
    inference(subsumption_resolution,[],[f8751,f1772]) ).

fof(f8751,plain,
    ( nil = tl(sK19)
    | tl(app(tl(sK19),sK19)) = app(tl(tl(sK19)),sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f8750,f1663]) ).

fof(f8750,plain,
    ( tl(app(tl(sK19),sK19)) = app(tl(tl(sK19)),sK19)
    | nil = sK22(sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f8679,f1663]) ).

fof(f8679,plain,
    ( tl(app(sK22(sK19),sK19)) = app(tl(sK22(sK19)),sK19)
    | nil = sK22(sK19)
    | ~ spl69_17 ),
    inference(resolution,[],[f3659,f1515]) ).

fof(f10539,plain,
    ( spl69_97
    | ~ spl69_98
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(avatar_split_clause,[],[f4473,f2204,f1470,f10536,f10532]) ).

fof(f4473,plain,
    ( sK19 != cons(hd(sK19),sK19)
    | nil = cons(hd(sK19),nil)
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(subsumption_resolution,[],[f4468,f2205]) ).

fof(f4468,plain,
    ( sK19 != cons(hd(sK19),sK19)
    | nil = cons(hd(sK19),nil)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_15 ),
    inference(superposition,[],[f3893,f1851]) ).

fof(f10388,plain,
    ( ~ spl69_95
    | spl69_96
    | ~ spl69_27
    | ~ spl69_28 ),
    inference(avatar_split_clause,[],[f10356,f1934,f1930,f10385,f10381]) ).

fof(f10381,plain,
    ( spl69_95
  <=> frontsegP(nil,cons(sK68,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_95])]) ).

fof(f10385,plain,
    ( spl69_96
  <=> frontsegP(sK19,cons(sK68,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_96])]) ).

fof(f10356,plain,
    ( frontsegP(sK19,cons(sK68,nil))
    | ~ frontsegP(nil,cons(sK68,sK19))
    | ~ spl69_27
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f10355,f1936]) ).

fof(f10355,plain,
    ( frontsegP(sK19,cons(sK68,nil))
    | ~ frontsegP(nil,cons(sK68,sK19))
    | ~ ssList(cons(sK68,sK19))
    | ~ spl69_27
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f10330,f376]) ).

fof(f10330,plain,
    ( frontsegP(sK19,cons(sK68,nil))
    | ~ ssList(sK19)
    | ~ frontsegP(nil,cons(sK68,sK19))
    | ~ ssList(cons(sK68,sK19))
    | ~ spl69_27
    | ~ spl69_28 ),
    inference(resolution,[],[f3492,f2951]) ).

fof(f3492,plain,
    ( ! [X0] :
        ( ~ frontsegP(X0,cons(sK68,sK19))
        | frontsegP(X0,cons(sK68,nil))
        | ~ ssList(X0) )
    | ~ spl69_27
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f3491,f1936]) ).

fof(f3491,plain,
    ( ! [X0] :
        ( frontsegP(X0,cons(sK68,nil))
        | ~ frontsegP(X0,cons(sK68,sK19))
        | ~ ssList(cons(sK68,sK19))
        | ~ ssList(X0) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f3457,f1931]) ).

fof(f3457,plain,
    ( ! [X0] :
        ( frontsegP(X0,cons(sK68,nil))
        | ~ frontsegP(X0,cons(sK68,sK19))
        | ~ ssList(cons(sK68,nil))
        | ~ ssList(cons(sK68,sK19))
        | ~ ssList(X0) )
    | ~ spl69_27 ),
    inference(resolution,[],[f598,f2343]) ).

fof(f2343,plain,
    ( frontsegP(cons(sK68,sK19),cons(sK68,nil))
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f2342,f1931]) ).

fof(f2342,plain,
    ( frontsegP(cons(sK68,sK19),cons(sK68,nil))
    | ~ ssList(cons(sK68,nil)) ),
    inference(subsumption_resolution,[],[f2334,f376]) ).

fof(f2334,plain,
    ( frontsegP(cons(sK68,sK19),cons(sK68,nil))
    | ~ ssList(sK19)
    | ~ ssList(cons(sK68,nil)) ),
    inference(superposition,[],[f2302,f1871]) ).

fof(f10312,plain,
    ( ~ spl69_93
    | spl69_94
    | ~ spl69_25
    | ~ spl69_26 ),
    inference(avatar_split_clause,[],[f10303,f1885,f1881,f10309,f10305]) ).

fof(f10305,plain,
    ( spl69_93
  <=> frontsegP(nil,cons(sK67,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_93])]) ).

fof(f10309,plain,
    ( spl69_94
  <=> frontsegP(sK19,cons(sK67,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_94])]) ).

fof(f10303,plain,
    ( frontsegP(sK19,cons(sK67,nil))
    | ~ frontsegP(nil,cons(sK67,sK19))
    | ~ spl69_25
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f10302,f1887]) ).

fof(f10302,plain,
    ( frontsegP(sK19,cons(sK67,nil))
    | ~ frontsegP(nil,cons(sK67,sK19))
    | ~ ssList(cons(sK67,sK19))
    | ~ spl69_25
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f10277,f376]) ).

fof(f10277,plain,
    ( frontsegP(sK19,cons(sK67,nil))
    | ~ ssList(sK19)
    | ~ frontsegP(nil,cons(sK67,sK19))
    | ~ ssList(cons(sK67,sK19))
    | ~ spl69_25
    | ~ spl69_26 ),
    inference(resolution,[],[f3490,f2951]) ).

fof(f3490,plain,
    ( ! [X0] :
        ( ~ frontsegP(X0,cons(sK67,sK19))
        | frontsegP(X0,cons(sK67,nil))
        | ~ ssList(X0) )
    | ~ spl69_25
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f3489,f1887]) ).

fof(f3489,plain,
    ( ! [X0] :
        ( frontsegP(X0,cons(sK67,nil))
        | ~ frontsegP(X0,cons(sK67,sK19))
        | ~ ssList(cons(sK67,sK19))
        | ~ ssList(X0) )
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f3456,f1882]) ).

fof(f3456,plain,
    ( ! [X0] :
        ( frontsegP(X0,cons(sK67,nil))
        | ~ frontsegP(X0,cons(sK67,sK19))
        | ~ ssList(cons(sK67,nil))
        | ~ ssList(cons(sK67,sK19))
        | ~ ssList(X0) )
    | ~ spl69_25 ),
    inference(resolution,[],[f598,f2341]) ).

fof(f2341,plain,
    ( frontsegP(cons(sK67,sK19),cons(sK67,nil))
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f2340,f1882]) ).

fof(f2340,plain,
    ( frontsegP(cons(sK67,sK19),cons(sK67,nil))
    | ~ ssList(cons(sK67,nil)) ),
    inference(subsumption_resolution,[],[f2333,f376]) ).

fof(f2333,plain,
    ( frontsegP(cons(sK67,sK19),cons(sK67,nil))
    | ~ ssList(sK19)
    | ~ ssList(cons(sK67,nil)) ),
    inference(superposition,[],[f2302,f1870]) ).

fof(f9933,plain,
    ( ~ spl69_83
    | spl69_91
    | ~ spl69_92 ),
    inference(avatar_contradiction_clause,[],[f9932]) ).

fof(f9932,plain,
    ( $false
    | ~ spl69_83
    | spl69_91
    | ~ spl69_92 ),
    inference(subsumption_resolution,[],[f9931,f8807]) ).

fof(f9931,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_91
    | ~ spl69_92 ),
    inference(subsumption_resolution,[],[f9930,f394]) ).

fof(f9930,plain,
    ( ~ ssList(nil)
    | ~ ssList(app(sK19,sK19))
    | spl69_91
    | ~ spl69_92 ),
    inference(subsumption_resolution,[],[f9929,f9911]) ).

fof(f9911,plain,
    ( frontsegP(app(sK19,sK19),nil)
    | ~ spl69_92 ),
    inference(avatar_component_clause,[],[f9909]) ).

fof(f9909,plain,
    ( spl69_92
  <=> frontsegP(app(sK19,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_92])]) ).

fof(f9929,plain,
    ( ~ frontsegP(app(sK19,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(app(sK19,sK19))
    | spl69_91 ),
    inference(resolution,[],[f9907,f582]) ).

fof(f9907,plain,
    ( ~ ssList(sK66(app(sK19,sK19),nil))
    | spl69_91 ),
    inference(avatar_component_clause,[],[f9905]) ).

fof(f9905,plain,
    ( spl69_91
  <=> ssList(sK66(app(sK19,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_91])]) ).

fof(f9925,plain,
    ( ~ spl69_83
    | spl69_92 ),
    inference(avatar_contradiction_clause,[],[f9924]) ).

fof(f9924,plain,
    ( $false
    | ~ spl69_83
    | spl69_92 ),
    inference(subsumption_resolution,[],[f9915,f8807]) ).

fof(f9915,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_92 ),
    inference(resolution,[],[f9910,f453]) ).

fof(f9910,plain,
    ( ~ frontsegP(app(sK19,sK19),nil)
    | spl69_92 ),
    inference(avatar_component_clause,[],[f9909]) ).

fof(f9923,plain,
    ( ~ spl69_2
    | spl69_92 ),
    inference(avatar_contradiction_clause,[],[f9922]) ).

fof(f9922,plain,
    ( $false
    | ~ spl69_2
    | spl69_92 ),
    inference(subsumption_resolution,[],[f9921,f394]) ).

fof(f9921,plain,
    ( ~ ssList(nil)
    | ~ spl69_2
    | spl69_92 ),
    inference(subsumption_resolution,[],[f9920,f376]) ).

fof(f9920,plain,
    ( ~ ssList(sK19)
    | ~ ssList(nil)
    | ~ spl69_2
    | spl69_92 ),
    inference(subsumption_resolution,[],[f9916,f1114]) ).

fof(f1114,plain,
    ( frontsegP(sK19,nil)
    | ~ spl69_2 ),
    inference(superposition,[],[f643,f650]) ).

fof(f9916,plain,
    ( ~ frontsegP(sK19,nil)
    | ~ ssList(sK19)
    | ~ ssList(nil)
    | spl69_92 ),
    inference(duplicate_literal_removal,[],[f9914]) ).

fof(f9914,plain,
    ( ~ frontsegP(sK19,nil)
    | ~ ssList(sK19)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_92 ),
    inference(resolution,[],[f9910,f593]) ).

fof(f9919,plain,
    ( ~ spl69_83
    | spl69_92 ),
    inference(avatar_contradiction_clause,[],[f9918]) ).

fof(f9918,plain,
    ( $false
    | ~ spl69_83
    | spl69_92 ),
    inference(subsumption_resolution,[],[f9917,f394]) ).

fof(f9917,plain,
    ( ~ ssList(nil)
    | ~ spl69_83
    | spl69_92 ),
    inference(subsumption_resolution,[],[f9913,f637]) ).

fof(f9913,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_83
    | spl69_92 ),
    inference(resolution,[],[f9910,f9245]) ).

fof(f9245,plain,
    ( ! [X0] :
        ( frontsegP(app(sK19,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9244,f394]) ).

fof(f9244,plain,
    ( ! [X0] :
        ( frontsegP(app(sK19,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9234,f8807]) ).

fof(f9234,plain,
    ( ! [X0] :
        ( frontsegP(app(sK19,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_83 ),
    inference(superposition,[],[f593,f8824]) ).

fof(f9912,plain,
    ( ~ spl69_91
    | spl69_92
    | ~ spl69_83 ),
    inference(avatar_split_clause,[],[f9544,f8806,f9909,f9905]) ).

fof(f9544,plain,
    ( frontsegP(app(sK19,sK19),nil)
    | ~ ssList(sK66(app(sK19,sK19),nil))
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9531,f394]) ).

fof(f9531,plain,
    ( frontsegP(app(sK19,sK19),nil)
    | ~ ssList(sK66(app(sK19,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_83 ),
    inference(superposition,[],[f2302,f8844]) ).

fof(f9863,plain,
    ( ~ spl69_83
    | spl69_89
    | ~ spl69_90 ),
    inference(avatar_contradiction_clause,[],[f9862]) ).

fof(f9862,plain,
    ( $false
    | ~ spl69_83
    | spl69_89
    | ~ spl69_90 ),
    inference(subsumption_resolution,[],[f9861,f8807]) ).

fof(f9861,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_89
    | ~ spl69_90 ),
    inference(subsumption_resolution,[],[f9860,f394]) ).

fof(f9860,plain,
    ( ~ ssList(nil)
    | ~ ssList(app(sK19,sK19))
    | spl69_89
    | ~ spl69_90 ),
    inference(subsumption_resolution,[],[f9859,f9818]) ).

fof(f9818,plain,
    ( rearsegP(app(sK19,sK19),nil)
    | ~ spl69_90 ),
    inference(avatar_component_clause,[],[f9816]) ).

fof(f9816,plain,
    ( spl69_90
  <=> rearsegP(app(sK19,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_90])]) ).

fof(f9859,plain,
    ( ~ rearsegP(app(sK19,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(app(sK19,sK19))
    | spl69_89 ),
    inference(resolution,[],[f9814,f575]) ).

fof(f9814,plain,
    ( ~ ssList(sK63(app(sK19,sK19),nil))
    | spl69_89 ),
    inference(avatar_component_clause,[],[f9812]) ).

fof(f9812,plain,
    ( spl69_89
  <=> ssList(sK63(app(sK19,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_89])]) ).

fof(f9832,plain,
    ( ~ spl69_50
    | spl69_90 ),
    inference(avatar_contradiction_clause,[],[f9831]) ).

fof(f9831,plain,
    ( $false
    | ~ spl69_50
    | spl69_90 ),
    inference(subsumption_resolution,[],[f9830,f394]) ).

fof(f9830,plain,
    ( ~ ssList(nil)
    | ~ spl69_50
    | spl69_90 ),
    inference(subsumption_resolution,[],[f9829,f376]) ).

fof(f9829,plain,
    ( ~ ssList(sK19)
    | ~ ssList(nil)
    | ~ spl69_50
    | spl69_90 ),
    inference(subsumption_resolution,[],[f9823,f3709]) ).

fof(f3709,plain,
    ( rearsegP(sK19,nil)
    | ~ spl69_50 ),
    inference(avatar_component_clause,[],[f3707]) ).

fof(f3707,plain,
    ( spl69_50
  <=> rearsegP(sK19,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_50])]) ).

fof(f9823,plain,
    ( ~ rearsegP(sK19,nil)
    | ~ ssList(sK19)
    | ~ ssList(nil)
    | spl69_90 ),
    inference(duplicate_literal_removal,[],[f9822]) ).

fof(f9822,plain,
    ( ~ rearsegP(sK19,nil)
    | ~ ssList(sK19)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_90 ),
    inference(resolution,[],[f9817,f592]) ).

fof(f9817,plain,
    ( ~ rearsegP(app(sK19,sK19),nil)
    | spl69_90 ),
    inference(avatar_component_clause,[],[f9816]) ).

fof(f9828,plain,
    ( ~ spl69_83
    | spl69_90 ),
    inference(avatar_contradiction_clause,[],[f9827]) ).

fof(f9827,plain,
    ( $false
    | ~ spl69_83
    | spl69_90 ),
    inference(subsumption_resolution,[],[f9826,f394]) ).

fof(f9826,plain,
    ( ~ ssList(nil)
    | ~ spl69_83
    | spl69_90 ),
    inference(subsumption_resolution,[],[f9821,f635]) ).

fof(f9821,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_83
    | spl69_90 ),
    inference(resolution,[],[f9817,f9197]) ).

fof(f9197,plain,
    ( ! [X0] :
        ( rearsegP(app(sK19,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9196,f394]) ).

fof(f9196,plain,
    ( ! [X0] :
        ( rearsegP(app(sK19,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9182,f8807]) ).

fof(f9182,plain,
    ( ! [X0] :
        ( rearsegP(app(sK19,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(app(sK19,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_83 ),
    inference(superposition,[],[f592,f8823]) ).

fof(f9825,plain,
    ( ~ spl69_83
    | spl69_90 ),
    inference(avatar_contradiction_clause,[],[f9824]) ).

fof(f9824,plain,
    ( $false
    | ~ spl69_83
    | spl69_90 ),
    inference(subsumption_resolution,[],[f9820,f8807]) ).

fof(f9820,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_90 ),
    inference(resolution,[],[f9817,f450]) ).

fof(f9819,plain,
    ( ~ spl69_89
    | spl69_90
    | ~ spl69_83 ),
    inference(avatar_split_clause,[],[f9487,f8806,f9816,f9812]) ).

fof(f9487,plain,
    ( rearsegP(app(sK19,sK19),nil)
    | ~ ssList(sK63(app(sK19,sK19),nil))
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9473,f394]) ).

fof(f9473,plain,
    ( rearsegP(app(sK19,sK19),nil)
    | ~ ssList(sK63(app(sK19,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_83 ),
    inference(superposition,[],[f2167,f8842]) ).

fof(f9446,plain,
    ( ~ spl69_87
    | spl69_88
    | ~ spl69_83 ),
    inference(avatar_split_clause,[],[f9223,f8806,f9443,f9439]) ).

fof(f9439,plain,
    ( spl69_87
  <=> segmentP(sK19,app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_87])]) ).

fof(f9443,plain,
    ( spl69_88
  <=> sK19 = app(sK19,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_88])]) ).

fof(f9223,plain,
    ( sK19 = app(sK19,sK19)
    | ~ segmentP(sK19,app(sK19,sK19))
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9222,f376]) ).

fof(f9222,plain,
    ( sK19 = app(sK19,sK19)
    | ~ segmentP(sK19,app(sK19,sK19))
    | ~ ssList(sK19)
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9217,f8807]) ).

fof(f9217,plain,
    ( sK19 = app(sK19,sK19)
    | ~ segmentP(sK19,app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | ~ ssList(sK19)
    | ~ spl69_83 ),
    inference(resolution,[],[f9214,f571]) ).

fof(f9413,plain,
    ( ~ spl69_85
    | spl69_86
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_83 ),
    inference(avatar_split_clause,[],[f9401,f8806,f1514,f1470,f1388,f649,f645,f9410,f9406]) ).

fof(f9406,plain,
    ( spl69_85
  <=> segmentP(nil,app(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_85])]) ).

fof(f9401,plain,
    ( segmentP(tl(sK19),sK19)
    | ~ segmentP(nil,app(sK19,sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9400,f8807]) ).

fof(f9400,plain,
    ( segmentP(tl(sK19),sK19)
    | ~ segmentP(nil,app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f9378,f1667]) ).

fof(f9378,plain,
    ( segmentP(tl(sK19),sK19)
    | ~ ssList(tl(sK19))
    | ~ segmentP(nil,app(sK19,sK19))
    | ~ ssList(app(sK19,sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_83 ),
    inference(resolution,[],[f9221,f7505]) ).

fof(f8946,plain,
    ( ~ spl69_2
    | spl69_6
    | ~ spl69_81 ),
    inference(avatar_contradiction_clause,[],[f8945]) ).

fof(f8945,plain,
    ( $false
    | ~ spl69_2
    | spl69_6
    | ~ spl69_81 ),
    inference(subsumption_resolution,[],[f8944,f376]) ).

fof(f8944,plain,
    ( ~ ssList(sK19)
    | ~ spl69_2
    | spl69_6
    | ~ spl69_81 ),
    inference(subsumption_resolution,[],[f8895,f1119]) ).

fof(f1119,plain,
    ( ~ frontsegP(nil,sK19)
    | ~ spl69_2
    | spl69_6 ),
    inference(superposition,[],[f780,f650]) ).

fof(f780,plain,
    ( ~ frontsegP(sK18,sK19)
    | spl69_6 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f778,plain,
    ( spl69_6
  <=> frontsegP(sK18,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_6])]) ).

fof(f8895,plain,
    ( frontsegP(nil,sK19)
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(duplicate_literal_removal,[],[f8894]) ).

fof(f8894,plain,
    ( frontsegP(nil,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(superposition,[],[f2302,f8657]) ).

fof(f8657,plain,
    ( nil = app(sK19,sK19)
    | ~ spl69_81 ),
    inference(avatar_component_clause,[],[f8655]) ).

fof(f8943,plain,
    ( spl69_1
    | ~ spl69_81 ),
    inference(avatar_contradiction_clause,[],[f8942]) ).

fof(f8942,plain,
    ( $false
    | spl69_1
    | ~ spl69_81 ),
    inference(subsumption_resolution,[],[f8941,f376]) ).

fof(f8941,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | ~ spl69_81 ),
    inference(subsumption_resolution,[],[f8896,f3202]) ).

fof(f8896,plain,
    ( rearsegP(nil,sK19)
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(duplicate_literal_removal,[],[f8893]) ).

fof(f8893,plain,
    ( rearsegP(nil,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(superposition,[],[f2167,f8657]) ).

fof(f8931,plain,
    ( spl69_1
    | ~ spl69_81 ),
    inference(avatar_contradiction_clause,[],[f8930]) ).

fof(f8930,plain,
    ( $false
    | spl69_1
    | ~ spl69_81 ),
    inference(subsumption_resolution,[],[f8929,f376]) ).

fof(f8929,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | ~ spl69_81 ),
    inference(subsumption_resolution,[],[f8906,f647]) ).

fof(f8906,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(trivial_inequality_removal,[],[f8905]) ).

fof(f8905,plain,
    ( nil != nil
    | nil = sK19
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(duplicate_literal_removal,[],[f8884]) ).

fof(f8884,plain,
    ( nil != nil
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(superposition,[],[f586,f8657]) ).

fof(f8928,plain,
    ( spl69_1
    | ~ spl69_81 ),
    inference(avatar_contradiction_clause,[],[f8927]) ).

fof(f8927,plain,
    ( $false
    | spl69_1
    | ~ spl69_81 ),
    inference(subsumption_resolution,[],[f8926,f376]) ).

fof(f8926,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | ~ spl69_81 ),
    inference(subsumption_resolution,[],[f8908,f647]) ).

fof(f8908,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(trivial_inequality_removal,[],[f8907]) ).

fof(f8907,plain,
    ( nil != nil
    | nil = sK19
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(duplicate_literal_removal,[],[f8883]) ).

fof(f8883,plain,
    ( nil != nil
    | nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(superposition,[],[f585,f8657]) ).

fof(f8921,plain,
    ( spl69_1
    | ~ spl69_2
    | ~ spl69_81
    | ~ spl69_83 ),
    inference(avatar_contradiction_clause,[],[f8920]) ).

fof(f8920,plain,
    ( $false
    | spl69_1
    | ~ spl69_2
    | ~ spl69_81
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f8919,f376]) ).

fof(f8919,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | ~ spl69_2
    | ~ spl69_81
    | ~ spl69_83 ),
    inference(subsumption_resolution,[],[f8918,f8807]) ).

fof(f8918,plain,
    ( ~ ssList(app(sK19,sK19))
    | ~ ssList(sK19)
    | spl69_1
    | ~ spl69_2
    | ~ spl69_81 ),
    inference(subsumption_resolution,[],[f8877,f7769]) ).

fof(f8877,plain,
    ( segmentP(nil,sK19)
    | ~ ssList(app(sK19,sK19))
    | ~ ssList(sK19)
    | ~ spl69_81 ),
    inference(superposition,[],[f7380,f8657]) ).

fof(f8914,plain,
    ( ~ spl69_81
    | spl69_82 ),
    inference(avatar_contradiction_clause,[],[f8913]) ).

fof(f8913,plain,
    ( $false
    | ~ spl69_81
    | spl69_82 ),
    inference(subsumption_resolution,[],[f8871,f609]) ).

fof(f8871,plain,
    ( ~ sP2(nil,hd(sK19))
    | ~ spl69_81
    | spl69_82 ),
    inference(superposition,[],[f8661,f8657]) ).

fof(f8661,plain,
    ( ~ sP2(app(sK19,sK19),hd(sK19))
    | spl69_82 ),
    inference(avatar_component_clause,[],[f8659]) ).

fof(f8659,plain,
    ( spl69_82
  <=> sP2(app(sK19,sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_82])]) ).

fof(f8817,plain,
    spl69_83,
    inference(avatar_contradiction_clause,[],[f8816]) ).

fof(f8816,plain,
    ( $false
    | spl69_83 ),
    inference(subsumption_resolution,[],[f8815,f376]) ).

fof(f8815,plain,
    ( ~ ssList(sK19)
    | spl69_83 ),
    inference(duplicate_literal_removal,[],[f8814]) ).

fof(f8814,plain,
    ( ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_83 ),
    inference(resolution,[],[f8808,f566]) ).

fof(f8808,plain,
    ( ~ ssList(app(sK19,sK19))
    | spl69_83 ),
    inference(avatar_component_clause,[],[f8806]) ).

fof(f8813,plain,
    ( ~ spl69_83
    | spl69_84
    | spl69_1
    | spl69_81 ),
    inference(avatar_split_clause,[],[f8804,f8655,f645,f8810,f8806]) ).

fof(f8662,plain,
    ( spl69_81
    | ~ spl69_82
    | spl69_1
    | ~ spl69_15 ),
    inference(avatar_split_clause,[],[f8646,f1470,f645,f8659,f8655]) ).

fof(f8646,plain,
    ( ~ sP2(app(sK19,sK19),hd(sK19))
    | nil = app(sK19,sK19)
    | spl69_1
    | ~ spl69_15 ),
    inference(subsumption_resolution,[],[f8645,f1471]) ).

fof(f8645,plain,
    ( ~ ssItem(hd(sK19))
    | ~ sP2(app(sK19,sK19),hd(sK19))
    | nil = app(sK19,sK19)
    | spl69_1 ),
    inference(forward_demodulation,[],[f8544,f5741]) ).

fof(f8544,plain,
    ( ~ sP2(app(sK19,sK19),hd(sK19))
    | nil = app(sK19,sK19)
    | ~ ssItem(hd(app(sK19,sK19)))
    | spl69_1 ),
    inference(superposition,[],[f845,f5741]) ).

fof(f7866,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_23
    | spl69_80 ),
    inference(avatar_contradiction_clause,[],[f7865]) ).

fof(f7865,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_23
    | spl69_80 ),
    inference(subsumption_resolution,[],[f7864,f394]) ).

fof(f7864,plain,
    ( ~ ssList(nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_23
    | spl69_80 ),
    inference(subsumption_resolution,[],[f7863,f1667]) ).

fof(f7863,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssList(nil)
    | spl69_23
    | spl69_80 ),
    inference(subsumption_resolution,[],[f7861,f1772]) ).

fof(f7861,plain,
    ( nil = tl(sK19)
    | ~ ssList(tl(sK19))
    | ~ ssList(nil)
    | spl69_80 ),
    inference(resolution,[],[f7849,f574]) ).

fof(f7849,plain,
    ( ~ neq(nil,tl(sK19))
    | spl69_80 ),
    inference(avatar_component_clause,[],[f7847]) ).

fof(f7847,plain,
    ( spl69_80
  <=> neq(nil,tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_80])]) ).

fof(f7850,plain,
    ( ~ spl69_78
    | ~ spl69_79
    | ~ spl69_80
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(avatar_split_clause,[],[f7537,f1514,f1470,f1388,f649,f645,f7847,f7843,f7839]) ).

fof(f7839,plain,
    ( spl69_78
  <=> strictorderedP(tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_78])]) ).

fof(f7537,plain,
    ( ~ neq(nil,tl(sK19))
    | ~ frontsegP(sK19,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f7536,f650]) ).

fof(f7536,plain,
    ( ~ frontsegP(sK19,tl(sK19))
    | ~ neq(sK18,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f7535,f636]) ).

fof(f7535,plain,
    ( ~ segmentP(nil,nil)
    | ~ frontsegP(sK19,tl(sK19))
    | ~ neq(sK18,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f7534,f650]) ).

fof(f7534,plain,
    ( ~ segmentP(nil,sK18)
    | ~ frontsegP(sK19,tl(sK19))
    | ~ neq(sK18,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f7533,f1667]) ).

fof(f7533,plain,
    ( ~ segmentP(nil,sK18)
    | ~ frontsegP(sK19,tl(sK19))
    | ~ neq(sK18,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | ~ ssList(tl(sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f7526,f375]) ).

fof(f7526,plain,
    ( ~ segmentP(nil,sK18)
    | ~ ssList(sK18)
    | ~ frontsegP(sK19,tl(sK19))
    | ~ neq(sK18,tl(sK19))
    | ~ strictorderedP(tl(sK19))
    | ~ ssList(tl(sK19))
    | spl69_1
    | ~ spl69_2
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(resolution,[],[f7505,f796]) ).

fof(f6594,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_75 ),
    inference(avatar_contradiction_clause,[],[f6593]) ).

fof(f6593,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_75 ),
    inference(subsumption_resolution,[],[f6592,f1471]) ).

fof(f6592,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_75 ),
    inference(subsumption_resolution,[],[f6591,f1667]) ).

fof(f6591,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssItem(hd(sK19))
    | spl69_75 ),
    inference(resolution,[],[f6573,f438]) ).

fof(f6573,plain,
    ( ~ sP1(hd(sK19),tl(sK19))
    | spl69_75 ),
    inference(avatar_component_clause,[],[f6571]) ).

fof(f6571,plain,
    ( spl69_75
  <=> sP1(hd(sK19),tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_75])]) ).

fof(f6582,plain,
    ( ~ spl69_75
    | spl69_76
    | ~ spl69_77
    | spl69_1 ),
    inference(avatar_split_clause,[],[f1458,f645,f6579,f6575,f6571]) ).

fof(f6575,plain,
    ( spl69_76
  <=> sP0(tl(sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_76])]) ).

fof(f6579,plain,
    ( spl69_77
  <=> totalorderedP(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_77])]) ).

fof(f5640,plain,
    ( ~ spl69_28
    | spl69_73
    | ~ spl69_74 ),
    inference(avatar_contradiction_clause,[],[f5639]) ).

fof(f5639,plain,
    ( $false
    | ~ spl69_28
    | spl69_73
    | ~ spl69_74 ),
    inference(subsumption_resolution,[],[f5638,f1936]) ).

fof(f5638,plain,
    ( ~ ssList(cons(sK68,sK19))
    | spl69_73
    | ~ spl69_74 ),
    inference(subsumption_resolution,[],[f5637,f394]) ).

fof(f5637,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK68,sK19))
    | spl69_73
    | ~ spl69_74 ),
    inference(subsumption_resolution,[],[f5636,f5624]) ).

fof(f5624,plain,
    ( frontsegP(cons(sK68,sK19),nil)
    | ~ spl69_74 ),
    inference(avatar_component_clause,[],[f5622]) ).

fof(f5622,plain,
    ( spl69_74
  <=> frontsegP(cons(sK68,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_74])]) ).

fof(f5636,plain,
    ( ~ frontsegP(cons(sK68,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK68,sK19))
    | spl69_73 ),
    inference(resolution,[],[f5620,f582]) ).

fof(f5620,plain,
    ( ~ ssList(sK66(cons(sK68,sK19),nil))
    | spl69_73 ),
    inference(avatar_component_clause,[],[f5618]) ).

fof(f5618,plain,
    ( spl69_73
  <=> ssList(sK66(cons(sK68,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_73])]) ).

fof(f5632,plain,
    ( ~ spl69_28
    | spl69_74 ),
    inference(avatar_contradiction_clause,[],[f5631]) ).

fof(f5631,plain,
    ( $false
    | ~ spl69_28
    | spl69_74 ),
    inference(subsumption_resolution,[],[f5627,f1936]) ).

fof(f5627,plain,
    ( ~ ssList(cons(sK68,sK19))
    | spl69_74 ),
    inference(resolution,[],[f5623,f453]) ).

fof(f5623,plain,
    ( ~ frontsegP(cons(sK68,sK19),nil)
    | spl69_74 ),
    inference(avatar_component_clause,[],[f5622]) ).

fof(f5630,plain,
    ( ~ spl69_28
    | spl69_74 ),
    inference(avatar_contradiction_clause,[],[f5629]) ).

fof(f5629,plain,
    ( $false
    | ~ spl69_28
    | spl69_74 ),
    inference(subsumption_resolution,[],[f5628,f394]) ).

fof(f5628,plain,
    ( ~ ssList(nil)
    | ~ spl69_28
    | spl69_74 ),
    inference(subsumption_resolution,[],[f5626,f637]) ).

fof(f5626,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_28
    | spl69_74 ),
    inference(resolution,[],[f5623,f2941]) ).

fof(f2941,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f2940,f394]) ).

fof(f2940,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f2904,f1936]) ).

fof(f2904,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(cons(sK68,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_28 ),
    inference(superposition,[],[f593,f1961]) ).

fof(f1961,plain,
    ( cons(sK68,sK19) = app(nil,cons(sK68,sK19))
    | ~ spl69_28 ),
    inference(resolution,[],[f1936,f457]) ).

fof(f5625,plain,
    ( ~ spl69_73
    | spl69_74
    | ~ spl69_28 ),
    inference(avatar_split_clause,[],[f5478,f1934,f5622,f5618]) ).

fof(f5478,plain,
    ( frontsegP(cons(sK68,sK19),nil)
    | ~ ssList(sK66(cons(sK68,sK19),nil))
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f5468,f394]) ).

fof(f5468,plain,
    ( frontsegP(cons(sK68,sK19),nil)
    | ~ ssList(sK66(cons(sK68,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_28 ),
    inference(superposition,[],[f2302,f5237]) ).

fof(f5237,plain,
    ( cons(sK68,sK19) = app(nil,sK66(cons(sK68,sK19),nil))
    | ~ spl69_28 ),
    inference(resolution,[],[f2697,f1936]) ).

fof(f5594,plain,
    ( ~ spl69_27
    | spl69_71
    | ~ spl69_72 ),
    inference(avatar_contradiction_clause,[],[f5593]) ).

fof(f5593,plain,
    ( $false
    | ~ spl69_27
    | spl69_71
    | ~ spl69_72 ),
    inference(subsumption_resolution,[],[f5592,f1931]) ).

fof(f5592,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_71
    | ~ spl69_72 ),
    inference(subsumption_resolution,[],[f5591,f394]) ).

fof(f5591,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK68,nil))
    | spl69_71
    | ~ spl69_72 ),
    inference(subsumption_resolution,[],[f5590,f5578]) ).

fof(f5578,plain,
    ( frontsegP(cons(sK68,nil),nil)
    | ~ spl69_72 ),
    inference(avatar_component_clause,[],[f5576]) ).

fof(f5576,plain,
    ( spl69_72
  <=> frontsegP(cons(sK68,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_72])]) ).

fof(f5590,plain,
    ( ~ frontsegP(cons(sK68,nil),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK68,nil))
    | spl69_71 ),
    inference(resolution,[],[f5574,f582]) ).

fof(f5574,plain,
    ( ~ ssList(sK66(cons(sK68,nil),nil))
    | spl69_71 ),
    inference(avatar_component_clause,[],[f5572]) ).

fof(f5572,plain,
    ( spl69_71
  <=> ssList(sK66(cons(sK68,nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_71])]) ).

fof(f5586,plain,
    ( ~ spl69_27
    | spl69_72 ),
    inference(avatar_contradiction_clause,[],[f5585]) ).

fof(f5585,plain,
    ( $false
    | ~ spl69_27
    | spl69_72 ),
    inference(subsumption_resolution,[],[f5581,f1931]) ).

fof(f5581,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_72 ),
    inference(resolution,[],[f5577,f453]) ).

fof(f5577,plain,
    ( ~ frontsegP(cons(sK68,nil),nil)
    | spl69_72 ),
    inference(avatar_component_clause,[],[f5576]) ).

fof(f5584,plain,
    ( ~ spl69_27
    | spl69_72 ),
    inference(avatar_contradiction_clause,[],[f5583]) ).

fof(f5583,plain,
    ( $false
    | ~ spl69_27
    | spl69_72 ),
    inference(subsumption_resolution,[],[f5582,f394]) ).

fof(f5582,plain,
    ( ~ ssList(nil)
    | ~ spl69_27
    | spl69_72 ),
    inference(subsumption_resolution,[],[f5580,f637]) ).

fof(f5580,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_27
    | spl69_72 ),
    inference(resolution,[],[f5577,f2939]) ).

fof(f2939,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f2938,f394]) ).

fof(f2938,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f2903,f1931]) ).

fof(f2903,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK68,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(cons(sK68,nil))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_27 ),
    inference(superposition,[],[f593,f1949]) ).

fof(f1949,plain,
    ( cons(sK68,nil) = app(nil,cons(sK68,nil))
    | ~ spl69_27 ),
    inference(resolution,[],[f1931,f457]) ).

fof(f5579,plain,
    ( ~ spl69_71
    | spl69_72
    | ~ spl69_27 ),
    inference(avatar_split_clause,[],[f5452,f1930,f5576,f5572]) ).

fof(f5452,plain,
    ( frontsegP(cons(sK68,nil),nil)
    | ~ ssList(sK66(cons(sK68,nil),nil))
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f5441,f394]) ).

fof(f5441,plain,
    ( frontsegP(cons(sK68,nil),nil)
    | ~ ssList(sK66(cons(sK68,nil),nil))
    | ~ ssList(nil)
    | ~ spl69_27 ),
    inference(superposition,[],[f2302,f5236]) ).

fof(f5236,plain,
    ( cons(sK68,nil) = app(nil,sK66(cons(sK68,nil),nil))
    | ~ spl69_27 ),
    inference(resolution,[],[f2697,f1931]) ).

fof(f5549,plain,
    ( ~ spl69_26
    | spl69_69
    | ~ spl69_70 ),
    inference(avatar_contradiction_clause,[],[f5548]) ).

fof(f5548,plain,
    ( $false
    | ~ spl69_26
    | spl69_69
    | ~ spl69_70 ),
    inference(subsumption_resolution,[],[f5547,f1887]) ).

fof(f5547,plain,
    ( ~ ssList(cons(sK67,sK19))
    | spl69_69
    | ~ spl69_70 ),
    inference(subsumption_resolution,[],[f5546,f394]) ).

fof(f5546,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK67,sK19))
    | spl69_69
    | ~ spl69_70 ),
    inference(subsumption_resolution,[],[f5545,f5533]) ).

fof(f5533,plain,
    ( frontsegP(cons(sK67,sK19),nil)
    | ~ spl69_70 ),
    inference(avatar_component_clause,[],[f5531]) ).

fof(f5531,plain,
    ( spl69_70
  <=> frontsegP(cons(sK67,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_70])]) ).

fof(f5545,plain,
    ( ~ frontsegP(cons(sK67,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK67,sK19))
    | spl69_69 ),
    inference(resolution,[],[f5529,f582]) ).

fof(f5529,plain,
    ( ~ ssList(sK66(cons(sK67,sK19),nil))
    | spl69_69 ),
    inference(avatar_component_clause,[],[f5527]) ).

fof(f5527,plain,
    ( spl69_69
  <=> ssList(sK66(cons(sK67,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_69])]) ).

fof(f5541,plain,
    ( ~ spl69_26
    | spl69_70 ),
    inference(avatar_contradiction_clause,[],[f5540]) ).

fof(f5540,plain,
    ( $false
    | ~ spl69_26
    | spl69_70 ),
    inference(subsumption_resolution,[],[f5536,f1887]) ).

fof(f5536,plain,
    ( ~ ssList(cons(sK67,sK19))
    | spl69_70 ),
    inference(resolution,[],[f5532,f453]) ).

fof(f5532,plain,
    ( ~ frontsegP(cons(sK67,sK19),nil)
    | spl69_70 ),
    inference(avatar_component_clause,[],[f5531]) ).

fof(f5539,plain,
    ( ~ spl69_26
    | spl69_70 ),
    inference(avatar_contradiction_clause,[],[f5538]) ).

fof(f5538,plain,
    ( $false
    | ~ spl69_26
    | spl69_70 ),
    inference(subsumption_resolution,[],[f5537,f394]) ).

fof(f5537,plain,
    ( ~ ssList(nil)
    | ~ spl69_26
    | spl69_70 ),
    inference(subsumption_resolution,[],[f5535,f637]) ).

fof(f5535,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_26
    | spl69_70 ),
    inference(resolution,[],[f5532,f2937]) ).

fof(f2937,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f2936,f394]) ).

fof(f2936,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f2902,f1887]) ).

fof(f2902,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(cons(sK67,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_26 ),
    inference(superposition,[],[f593,f1906]) ).

fof(f1906,plain,
    ( cons(sK67,sK19) = app(nil,cons(sK67,sK19))
    | ~ spl69_26 ),
    inference(resolution,[],[f1887,f457]) ).

fof(f5534,plain,
    ( ~ spl69_69
    | spl69_70
    | ~ spl69_26 ),
    inference(avatar_split_clause,[],[f5425,f1885,f5531,f5527]) ).

fof(f5425,plain,
    ( frontsegP(cons(sK67,sK19),nil)
    | ~ ssList(sK66(cons(sK67,sK19),nil))
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f5415,f394]) ).

fof(f5415,plain,
    ( frontsegP(cons(sK67,sK19),nil)
    | ~ ssList(sK66(cons(sK67,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_26 ),
    inference(superposition,[],[f2302,f5235]) ).

fof(f5235,plain,
    ( cons(sK67,sK19) = app(nil,sK66(cons(sK67,sK19),nil))
    | ~ spl69_26 ),
    inference(resolution,[],[f2697,f1887]) ).

fof(f5504,plain,
    ( ~ spl69_25
    | spl69_67
    | ~ spl69_68 ),
    inference(avatar_contradiction_clause,[],[f5503]) ).

fof(f5503,plain,
    ( $false
    | ~ spl69_25
    | spl69_67
    | ~ spl69_68 ),
    inference(subsumption_resolution,[],[f5502,f1882]) ).

fof(f5502,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_67
    | ~ spl69_68 ),
    inference(subsumption_resolution,[],[f5501,f394]) ).

fof(f5501,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK67,nil))
    | spl69_67
    | ~ spl69_68 ),
    inference(subsumption_resolution,[],[f5500,f5488]) ).

fof(f5488,plain,
    ( frontsegP(cons(sK67,nil),nil)
    | ~ spl69_68 ),
    inference(avatar_component_clause,[],[f5486]) ).

fof(f5486,plain,
    ( spl69_68
  <=> frontsegP(cons(sK67,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_68])]) ).

fof(f5500,plain,
    ( ~ frontsegP(cons(sK67,nil),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK67,nil))
    | spl69_67 ),
    inference(resolution,[],[f5484,f582]) ).

fof(f5484,plain,
    ( ~ ssList(sK66(cons(sK67,nil),nil))
    | spl69_67 ),
    inference(avatar_component_clause,[],[f5482]) ).

fof(f5482,plain,
    ( spl69_67
  <=> ssList(sK66(cons(sK67,nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_67])]) ).

fof(f5496,plain,
    ( ~ spl69_25
    | spl69_68 ),
    inference(avatar_contradiction_clause,[],[f5495]) ).

fof(f5495,plain,
    ( $false
    | ~ spl69_25
    | spl69_68 ),
    inference(subsumption_resolution,[],[f5491,f1882]) ).

fof(f5491,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_68 ),
    inference(resolution,[],[f5487,f453]) ).

fof(f5487,plain,
    ( ~ frontsegP(cons(sK67,nil),nil)
    | spl69_68 ),
    inference(avatar_component_clause,[],[f5486]) ).

fof(f5494,plain,
    ( ~ spl69_25
    | spl69_68 ),
    inference(avatar_contradiction_clause,[],[f5493]) ).

fof(f5493,plain,
    ( $false
    | ~ spl69_25
    | spl69_68 ),
    inference(subsumption_resolution,[],[f5492,f394]) ).

fof(f5492,plain,
    ( ~ ssList(nil)
    | ~ spl69_25
    | spl69_68 ),
    inference(subsumption_resolution,[],[f5490,f637]) ).

fof(f5490,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_25
    | spl69_68 ),
    inference(resolution,[],[f5487,f2935]) ).

fof(f2935,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f2934,f394]) ).

fof(f2934,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f2901,f1882]) ).

fof(f2901,plain,
    ( ! [X0] :
        ( frontsegP(cons(sK67,nil),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(cons(sK67,nil))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_25 ),
    inference(superposition,[],[f593,f1894]) ).

fof(f1894,plain,
    ( cons(sK67,nil) = app(nil,cons(sK67,nil))
    | ~ spl69_25 ),
    inference(resolution,[],[f1882,f457]) ).

fof(f5489,plain,
    ( ~ spl69_67
    | spl69_68
    | ~ spl69_25 ),
    inference(avatar_split_clause,[],[f5399,f1881,f5486,f5482]) ).

fof(f5399,plain,
    ( frontsegP(cons(sK67,nil),nil)
    | ~ ssList(sK66(cons(sK67,nil),nil))
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f5388,f394]) ).

fof(f5388,plain,
    ( frontsegP(cons(sK67,nil),nil)
    | ~ ssList(sK66(cons(sK67,nil),nil))
    | ~ ssList(nil)
    | ~ spl69_25 ),
    inference(superposition,[],[f2302,f5234]) ).

fof(f5234,plain,
    ( cons(sK67,nil) = app(nil,sK66(cons(sK67,nil),nil))
    | ~ spl69_25 ),
    inference(resolution,[],[f2697,f1882]) ).

fof(f5351,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_65
    | ~ spl69_66 ),
    inference(avatar_contradiction_clause,[],[f5350]) ).

fof(f5350,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_65
    | ~ spl69_66 ),
    inference(subsumption_resolution,[],[f5349,f1667]) ).

fof(f5349,plain,
    ( ~ ssList(tl(sK19))
    | spl69_65
    | ~ spl69_66 ),
    inference(subsumption_resolution,[],[f5348,f394]) ).

fof(f5348,plain,
    ( ~ ssList(nil)
    | ~ ssList(tl(sK19))
    | spl69_65
    | ~ spl69_66 ),
    inference(subsumption_resolution,[],[f5347,f5335]) ).

fof(f5335,plain,
    ( frontsegP(tl(sK19),nil)
    | ~ spl69_66 ),
    inference(avatar_component_clause,[],[f5333]) ).

fof(f5333,plain,
    ( spl69_66
  <=> frontsegP(tl(sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_66])]) ).

fof(f5347,plain,
    ( ~ frontsegP(tl(sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(tl(sK19))
    | spl69_65 ),
    inference(resolution,[],[f5331,f582]) ).

fof(f5331,plain,
    ( ~ ssList(sK66(tl(sK19),nil))
    | spl69_65 ),
    inference(avatar_component_clause,[],[f5329]) ).

fof(f5329,plain,
    ( spl69_65
  <=> ssList(sK66(tl(sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_65])]) ).

fof(f5343,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_66 ),
    inference(avatar_contradiction_clause,[],[f5342]) ).

fof(f5342,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_66 ),
    inference(subsumption_resolution,[],[f5338,f1667]) ).

fof(f5338,plain,
    ( ~ ssList(tl(sK19))
    | spl69_66 ),
    inference(resolution,[],[f5334,f453]) ).

fof(f5334,plain,
    ( ~ frontsegP(tl(sK19),nil)
    | spl69_66 ),
    inference(avatar_component_clause,[],[f5333]) ).

fof(f5341,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_66 ),
    inference(avatar_contradiction_clause,[],[f5340]) ).

fof(f5340,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_66 ),
    inference(subsumption_resolution,[],[f5339,f394]) ).

fof(f5339,plain,
    ( ~ ssList(nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_66 ),
    inference(subsumption_resolution,[],[f5337,f637]) ).

fof(f5337,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_66 ),
    inference(resolution,[],[f5334,f2963]) ).

fof(f2963,plain,
    ( ! [X0] :
        ( frontsegP(tl(sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f2962,f1663]) ).

fof(f2962,plain,
    ( ! [X0] :
        ( frontsegP(sK22(sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f2961,f394]) ).

fof(f2961,plain,
    ( ! [X0] :
        ( frontsegP(sK22(sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f2926,f1515]) ).

fof(f2926,plain,
    ( ! [X0] :
        ( frontsegP(sK22(sK19),X0)
        | ~ frontsegP(nil,X0)
        | ~ ssList(sK22(sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_17 ),
    inference(superposition,[],[f593,f1527]) ).

fof(f5336,plain,
    ( ~ spl69_65
    | spl69_66
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(avatar_split_clause,[],[f5327,f1514,f1470,f1388,f645,f5333,f5329]) ).

fof(f5327,plain,
    ( frontsegP(tl(sK19),nil)
    | ~ ssList(sK66(tl(sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f5317,f394]) ).

fof(f5317,plain,
    ( frontsegP(tl(sK19),nil)
    | ~ ssList(sK66(tl(sK19),nil))
    | ~ ssList(nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(superposition,[],[f2302,f5290]) ).

fof(f5290,plain,
    ( tl(sK19) = app(nil,sK66(tl(sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f5247,f1663]) ).

fof(f5247,plain,
    ( sK22(sK19) = app(nil,sK66(sK22(sK19),nil))
    | ~ spl69_17 ),
    inference(resolution,[],[f2697,f1515]) ).

fof(f5117,plain,
    ( ~ spl69_28
    | spl69_63
    | ~ spl69_64 ),
    inference(avatar_contradiction_clause,[],[f5116]) ).

fof(f5116,plain,
    ( $false
    | ~ spl69_28
    | spl69_63
    | ~ spl69_64 ),
    inference(subsumption_resolution,[],[f5115,f1936]) ).

fof(f5115,plain,
    ( ~ ssList(cons(sK68,sK19))
    | spl69_63
    | ~ spl69_64 ),
    inference(subsumption_resolution,[],[f5114,f394]) ).

fof(f5114,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK68,sK19))
    | spl69_63
    | ~ spl69_64 ),
    inference(subsumption_resolution,[],[f5113,f5097]) ).

fof(f5097,plain,
    ( rearsegP(cons(sK68,sK19),nil)
    | ~ spl69_64 ),
    inference(avatar_component_clause,[],[f5095]) ).

fof(f5095,plain,
    ( spl69_64
  <=> rearsegP(cons(sK68,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_64])]) ).

fof(f5113,plain,
    ( ~ rearsegP(cons(sK68,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK68,sK19))
    | spl69_63 ),
    inference(resolution,[],[f5093,f575]) ).

fof(f5093,plain,
    ( ~ ssList(sK63(cons(sK68,sK19),nil))
    | spl69_63 ),
    inference(avatar_component_clause,[],[f5091]) ).

fof(f5091,plain,
    ( spl69_63
  <=> ssList(sK63(cons(sK68,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_63])]) ).

fof(f5109,plain,
    ( ~ spl69_27
    | ~ spl69_50
    | spl69_64 ),
    inference(avatar_contradiction_clause,[],[f5108]) ).

fof(f5108,plain,
    ( $false
    | ~ spl69_27
    | ~ spl69_50
    | spl69_64 ),
    inference(subsumption_resolution,[],[f5107,f394]) ).

fof(f5107,plain,
    ( ~ ssList(nil)
    | ~ spl69_27
    | ~ spl69_50
    | spl69_64 ),
    inference(subsumption_resolution,[],[f5101,f3709]) ).

fof(f5101,plain,
    ( ~ rearsegP(sK19,nil)
    | ~ ssList(nil)
    | ~ spl69_27
    | spl69_64 ),
    inference(resolution,[],[f5096,f2835]) ).

fof(f2835,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,sK19),X0)
        | ~ rearsegP(sK19,X0)
        | ~ ssList(X0) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f2834,f376]) ).

fof(f2834,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,sK19),X0)
        | ~ rearsegP(sK19,X0)
        | ~ ssList(X0)
        | ~ ssList(sK19) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f2800,f1931]) ).

fof(f2800,plain,
    ! [X0] :
      ( rearsegP(cons(sK68,sK19),X0)
      | ~ rearsegP(sK19,X0)
      | ~ ssList(cons(sK68,nil))
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(superposition,[],[f592,f1871]) ).

fof(f5096,plain,
    ( ~ rearsegP(cons(sK68,sK19),nil)
    | spl69_64 ),
    inference(avatar_component_clause,[],[f5095]) ).

fof(f5106,plain,
    ( ~ spl69_28
    | spl69_64 ),
    inference(avatar_contradiction_clause,[],[f5105]) ).

fof(f5105,plain,
    ( $false
    | ~ spl69_28
    | spl69_64 ),
    inference(subsumption_resolution,[],[f5104,f394]) ).

fof(f5104,plain,
    ( ~ ssList(nil)
    | ~ spl69_28
    | spl69_64 ),
    inference(subsumption_resolution,[],[f5100,f635]) ).

fof(f5100,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_28
    | spl69_64 ),
    inference(resolution,[],[f5096,f2819]) ).

fof(f2819,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f2818,f394]) ).

fof(f2818,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f2788,f1936]) ).

fof(f2788,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(cons(sK68,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_28 ),
    inference(superposition,[],[f592,f1960]) ).

fof(f1960,plain,
    ( cons(sK68,sK19) = app(cons(sK68,sK19),nil)
    | ~ spl69_28 ),
    inference(resolution,[],[f1936,f456]) ).

fof(f5103,plain,
    ( ~ spl69_28
    | spl69_64 ),
    inference(avatar_contradiction_clause,[],[f5102]) ).

fof(f5102,plain,
    ( $false
    | ~ spl69_28
    | spl69_64 ),
    inference(subsumption_resolution,[],[f5099,f1936]) ).

fof(f5099,plain,
    ( ~ ssList(cons(sK68,sK19))
    | spl69_64 ),
    inference(resolution,[],[f5096,f450]) ).

fof(f5098,plain,
    ( ~ spl69_63
    | spl69_64
    | ~ spl69_28 ),
    inference(avatar_split_clause,[],[f4841,f1934,f5095,f5091]) ).

fof(f4841,plain,
    ( rearsegP(cons(sK68,sK19),nil)
    | ~ ssList(sK63(cons(sK68,sK19),nil))
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f4831,f394]) ).

fof(f4831,plain,
    ( rearsegP(cons(sK68,sK19),nil)
    | ~ ssList(sK63(cons(sK68,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_28 ),
    inference(superposition,[],[f2167,f3585]) ).

fof(f3585,plain,
    ( cons(sK68,sK19) = app(sK63(cons(sK68,sK19),nil),nil)
    | ~ spl69_28 ),
    inference(resolution,[],[f2610,f1936]) ).

fof(f5070,plain,
    ( ~ spl69_27
    | spl69_61
    | ~ spl69_62 ),
    inference(avatar_contradiction_clause,[],[f5069]) ).

fof(f5069,plain,
    ( $false
    | ~ spl69_27
    | spl69_61
    | ~ spl69_62 ),
    inference(subsumption_resolution,[],[f5068,f1931]) ).

fof(f5068,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_61
    | ~ spl69_62 ),
    inference(subsumption_resolution,[],[f5067,f394]) ).

fof(f5067,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK68,nil))
    | spl69_61
    | ~ spl69_62 ),
    inference(subsumption_resolution,[],[f5066,f5054]) ).

fof(f5054,plain,
    ( rearsegP(cons(sK68,nil),nil)
    | ~ spl69_62 ),
    inference(avatar_component_clause,[],[f5052]) ).

fof(f5052,plain,
    ( spl69_62
  <=> rearsegP(cons(sK68,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_62])]) ).

fof(f5066,plain,
    ( ~ rearsegP(cons(sK68,nil),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK68,nil))
    | spl69_61 ),
    inference(resolution,[],[f5050,f575]) ).

fof(f5050,plain,
    ( ~ ssList(sK63(cons(sK68,nil),nil))
    | spl69_61 ),
    inference(avatar_component_clause,[],[f5048]) ).

fof(f5048,plain,
    ( spl69_61
  <=> ssList(sK63(cons(sK68,nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_61])]) ).

fof(f5062,plain,
    ( ~ spl69_27
    | spl69_62 ),
    inference(avatar_contradiction_clause,[],[f5061]) ).

fof(f5061,plain,
    ( $false
    | ~ spl69_27
    | spl69_62 ),
    inference(subsumption_resolution,[],[f5060,f394]) ).

fof(f5060,plain,
    ( ~ ssList(nil)
    | ~ spl69_27
    | spl69_62 ),
    inference(subsumption_resolution,[],[f5057,f635]) ).

fof(f5057,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_27
    | spl69_62 ),
    inference(resolution,[],[f5053,f2817]) ).

fof(f2817,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f2816,f394]) ).

fof(f2816,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f2787,f1931]) ).

fof(f2787,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK68,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(cons(sK68,nil))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_27 ),
    inference(superposition,[],[f592,f1948]) ).

fof(f1948,plain,
    ( cons(sK68,nil) = app(cons(sK68,nil),nil)
    | ~ spl69_27 ),
    inference(resolution,[],[f1931,f456]) ).

fof(f5053,plain,
    ( ~ rearsegP(cons(sK68,nil),nil)
    | spl69_62 ),
    inference(avatar_component_clause,[],[f5052]) ).

fof(f5059,plain,
    ( ~ spl69_27
    | spl69_62 ),
    inference(avatar_contradiction_clause,[],[f5058]) ).

fof(f5058,plain,
    ( $false
    | ~ spl69_27
    | spl69_62 ),
    inference(subsumption_resolution,[],[f5056,f1931]) ).

fof(f5056,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_62 ),
    inference(resolution,[],[f5053,f450]) ).

fof(f5055,plain,
    ( ~ spl69_61
    | spl69_62
    | ~ spl69_27 ),
    inference(avatar_split_clause,[],[f4815,f1930,f5052,f5048]) ).

fof(f4815,plain,
    ( rearsegP(cons(sK68,nil),nil)
    | ~ ssList(sK63(cons(sK68,nil),nil))
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f4804,f394]) ).

fof(f4804,plain,
    ( rearsegP(cons(sK68,nil),nil)
    | ~ ssList(sK63(cons(sK68,nil),nil))
    | ~ ssList(nil)
    | ~ spl69_27 ),
    inference(superposition,[],[f2167,f3584]) ).

fof(f3584,plain,
    ( cons(sK68,nil) = app(sK63(cons(sK68,nil),nil),nil)
    | ~ spl69_27 ),
    inference(resolution,[],[f2610,f1931]) ).

fof(f5027,plain,
    ( ~ spl69_26
    | spl69_59
    | ~ spl69_60 ),
    inference(avatar_contradiction_clause,[],[f5026]) ).

fof(f5026,plain,
    ( $false
    | ~ spl69_26
    | spl69_59
    | ~ spl69_60 ),
    inference(subsumption_resolution,[],[f5025,f1887]) ).

fof(f5025,plain,
    ( ~ ssList(cons(sK67,sK19))
    | spl69_59
    | ~ spl69_60 ),
    inference(subsumption_resolution,[],[f5024,f394]) ).

fof(f5024,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK67,sK19))
    | spl69_59
    | ~ spl69_60 ),
    inference(subsumption_resolution,[],[f5023,f4951]) ).

fof(f4951,plain,
    ( rearsegP(cons(sK67,sK19),nil)
    | ~ spl69_60 ),
    inference(avatar_component_clause,[],[f4949]) ).

fof(f4949,plain,
    ( spl69_60
  <=> rearsegP(cons(sK67,sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_60])]) ).

fof(f5023,plain,
    ( ~ rearsegP(cons(sK67,sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK67,sK19))
    | spl69_59 ),
    inference(resolution,[],[f4947,f575]) ).

fof(f4947,plain,
    ( ~ ssList(sK63(cons(sK67,sK19),nil))
    | spl69_59 ),
    inference(avatar_component_clause,[],[f4945]) ).

fof(f4945,plain,
    ( spl69_59
  <=> ssList(sK63(cons(sK67,sK19),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_59])]) ).

fof(f4963,plain,
    ( ~ spl69_25
    | ~ spl69_50
    | spl69_60 ),
    inference(avatar_contradiction_clause,[],[f4962]) ).

fof(f4962,plain,
    ( $false
    | ~ spl69_25
    | ~ spl69_50
    | spl69_60 ),
    inference(subsumption_resolution,[],[f4961,f394]) ).

fof(f4961,plain,
    ( ~ ssList(nil)
    | ~ spl69_25
    | ~ spl69_50
    | spl69_60 ),
    inference(subsumption_resolution,[],[f4955,f3709]) ).

fof(f4955,plain,
    ( ~ rearsegP(sK19,nil)
    | ~ ssList(nil)
    | ~ spl69_25
    | spl69_60 ),
    inference(resolution,[],[f4950,f2833]) ).

fof(f2833,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,sK19),X0)
        | ~ rearsegP(sK19,X0)
        | ~ ssList(X0) )
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f2832,f376]) ).

fof(f2832,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,sK19),X0)
        | ~ rearsegP(sK19,X0)
        | ~ ssList(X0)
        | ~ ssList(sK19) )
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f2799,f1882]) ).

fof(f2799,plain,
    ! [X0] :
      ( rearsegP(cons(sK67,sK19),X0)
      | ~ rearsegP(sK19,X0)
      | ~ ssList(cons(sK67,nil))
      | ~ ssList(X0)
      | ~ ssList(sK19) ),
    inference(superposition,[],[f592,f1870]) ).

fof(f4950,plain,
    ( ~ rearsegP(cons(sK67,sK19),nil)
    | spl69_60 ),
    inference(avatar_component_clause,[],[f4949]) ).

fof(f4960,plain,
    ( ~ spl69_26
    | spl69_60 ),
    inference(avatar_contradiction_clause,[],[f4959]) ).

fof(f4959,plain,
    ( $false
    | ~ spl69_26
    | spl69_60 ),
    inference(subsumption_resolution,[],[f4958,f394]) ).

fof(f4958,plain,
    ( ~ ssList(nil)
    | ~ spl69_26
    | spl69_60 ),
    inference(subsumption_resolution,[],[f4954,f635]) ).

fof(f4954,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_26
    | spl69_60 ),
    inference(resolution,[],[f4950,f2815]) ).

fof(f2815,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f2814,f394]) ).

fof(f2814,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f2786,f1887]) ).

fof(f2786,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(cons(sK67,sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_26 ),
    inference(superposition,[],[f592,f1905]) ).

fof(f1905,plain,
    ( cons(sK67,sK19) = app(cons(sK67,sK19),nil)
    | ~ spl69_26 ),
    inference(resolution,[],[f1887,f456]) ).

fof(f4957,plain,
    ( ~ spl69_26
    | spl69_60 ),
    inference(avatar_contradiction_clause,[],[f4956]) ).

fof(f4956,plain,
    ( $false
    | ~ spl69_26
    | spl69_60 ),
    inference(subsumption_resolution,[],[f4953,f1887]) ).

fof(f4953,plain,
    ( ~ ssList(cons(sK67,sK19))
    | spl69_60 ),
    inference(resolution,[],[f4950,f450]) ).

fof(f4952,plain,
    ( ~ spl69_59
    | spl69_60
    | ~ spl69_26 ),
    inference(avatar_split_clause,[],[f4788,f1885,f4949,f4945]) ).

fof(f4788,plain,
    ( rearsegP(cons(sK67,sK19),nil)
    | ~ ssList(sK63(cons(sK67,sK19),nil))
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f4778,f394]) ).

fof(f4778,plain,
    ( rearsegP(cons(sK67,sK19),nil)
    | ~ ssList(sK63(cons(sK67,sK19),nil))
    | ~ ssList(nil)
    | ~ spl69_26 ),
    inference(superposition,[],[f2167,f3583]) ).

fof(f3583,plain,
    ( cons(sK67,sK19) = app(sK63(cons(sK67,sK19),nil),nil)
    | ~ spl69_26 ),
    inference(resolution,[],[f2610,f1887]) ).

fof(f4924,plain,
    ( ~ spl69_25
    | spl69_57
    | ~ spl69_58 ),
    inference(avatar_contradiction_clause,[],[f4923]) ).

fof(f4923,plain,
    ( $false
    | ~ spl69_25
    | spl69_57
    | ~ spl69_58 ),
    inference(subsumption_resolution,[],[f4922,f1882]) ).

fof(f4922,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_57
    | ~ spl69_58 ),
    inference(subsumption_resolution,[],[f4921,f394]) ).

fof(f4921,plain,
    ( ~ ssList(nil)
    | ~ ssList(cons(sK67,nil))
    | spl69_57
    | ~ spl69_58 ),
    inference(subsumption_resolution,[],[f4920,f4908]) ).

fof(f4908,plain,
    ( rearsegP(cons(sK67,nil),nil)
    | ~ spl69_58 ),
    inference(avatar_component_clause,[],[f4906]) ).

fof(f4906,plain,
    ( spl69_58
  <=> rearsegP(cons(sK67,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_58])]) ).

fof(f4920,plain,
    ( ~ rearsegP(cons(sK67,nil),nil)
    | ~ ssList(nil)
    | ~ ssList(cons(sK67,nil))
    | spl69_57 ),
    inference(resolution,[],[f4904,f575]) ).

fof(f4904,plain,
    ( ~ ssList(sK63(cons(sK67,nil),nil))
    | spl69_57 ),
    inference(avatar_component_clause,[],[f4902]) ).

fof(f4902,plain,
    ( spl69_57
  <=> ssList(sK63(cons(sK67,nil),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_57])]) ).

fof(f4916,plain,
    ( ~ spl69_25
    | spl69_58 ),
    inference(avatar_contradiction_clause,[],[f4915]) ).

fof(f4915,plain,
    ( $false
    | ~ spl69_25
    | spl69_58 ),
    inference(subsumption_resolution,[],[f4914,f394]) ).

fof(f4914,plain,
    ( ~ ssList(nil)
    | ~ spl69_25
    | spl69_58 ),
    inference(subsumption_resolution,[],[f4911,f635]) ).

fof(f4911,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ spl69_25
    | spl69_58 ),
    inference(resolution,[],[f4907,f2813]) ).

fof(f2813,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f2812,f394]) ).

fof(f2812,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f2785,f1882]) ).

fof(f2785,plain,
    ( ! [X0] :
        ( rearsegP(cons(sK67,nil),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(cons(sK67,nil))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_25 ),
    inference(superposition,[],[f592,f1893]) ).

fof(f1893,plain,
    ( cons(sK67,nil) = app(cons(sK67,nil),nil)
    | ~ spl69_25 ),
    inference(resolution,[],[f1882,f456]) ).

fof(f4907,plain,
    ( ~ rearsegP(cons(sK67,nil),nil)
    | spl69_58 ),
    inference(avatar_component_clause,[],[f4906]) ).

fof(f4913,plain,
    ( ~ spl69_25
    | spl69_58 ),
    inference(avatar_contradiction_clause,[],[f4912]) ).

fof(f4912,plain,
    ( $false
    | ~ spl69_25
    | spl69_58 ),
    inference(subsumption_resolution,[],[f4910,f1882]) ).

fof(f4910,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_58 ),
    inference(resolution,[],[f4907,f450]) ).

fof(f4909,plain,
    ( ~ spl69_57
    | spl69_58
    | ~ spl69_25 ),
    inference(avatar_split_clause,[],[f4762,f1881,f4906,f4902]) ).

fof(f4762,plain,
    ( rearsegP(cons(sK67,nil),nil)
    | ~ ssList(sK63(cons(sK67,nil),nil))
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f4751,f394]) ).

fof(f4751,plain,
    ( rearsegP(cons(sK67,nil),nil)
    | ~ ssList(sK63(cons(sK67,nil),nil))
    | ~ ssList(nil)
    | ~ spl69_25 ),
    inference(superposition,[],[f2167,f3582]) ).

fof(f3582,plain,
    ( cons(sK67,nil) = app(sK63(cons(sK67,nil),nil),nil)
    | ~ spl69_25 ),
    inference(resolution,[],[f2610,f1882]) ).

fof(f4391,plain,
    spl69_55,
    inference(avatar_contradiction_clause,[],[f4390]) ).

fof(f4390,plain,
    ( $false
    | spl69_55 ),
    inference(subsumption_resolution,[],[f4389,f394]) ).

fof(f4389,plain,
    ( ~ ssList(nil)
    | spl69_55 ),
    inference(subsumption_resolution,[],[f4388,f635]) ).

fof(f4388,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_55 ),
    inference(duplicate_literal_removal,[],[f4387]) ).

fof(f4387,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(nil)
    | spl69_55 ),
    inference(resolution,[],[f4381,f575]) ).

fof(f4381,plain,
    ( ~ ssList(sK63(nil,nil))
    | spl69_55 ),
    inference(avatar_component_clause,[],[f4379]) ).

fof(f4379,plain,
    ( spl69_55
  <=> ssList(sK63(nil,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_55])]) ).

fof(f4386,plain,
    ( ~ spl69_55
    | spl69_56
    | ~ spl69_2 ),
    inference(avatar_split_clause,[],[f4377,f649,f4383,f4379]) ).

fof(f4383,plain,
    ( spl69_56
  <=> nil = sK63(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_56])]) ).

fof(f4377,plain,
    ( nil = sK63(nil,nil)
    | ~ ssList(sK63(nil,nil))
    | ~ spl69_2 ),
    inference(trivial_inequality_removal,[],[f4372]) ).

fof(f4372,plain,
    ( nil != nil
    | nil = sK63(nil,nil)
    | ~ ssList(sK63(nil,nil))
    | ~ spl69_2 ),
    inference(superposition,[],[f3870,f2609]) ).

fof(f3870,plain,
    ( ! [X0] :
        ( nil != app(X0,nil)
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f3869,f650]) ).

fof(f3869,plain,
    ( ! [X0] :
        ( nil != app(X0,nil)
        | sK18 = X0
        | ~ ssList(X0) )
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f3868,f650]) ).

fof(f3868,plain,
    ! [X0] :
      ( app(X0,nil) != sK18
      | sK18 = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3867,f394]) ).

fof(f3867,plain,
    ! [X0] :
      ( app(X0,nil) != sK18
      | sK18 = X0
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f3781,f375]) ).

fof(f3781,plain,
    ! [X0] :
      ( app(X0,nil) != sK18
      | sK18 = X0
      | ~ ssList(sK18)
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(superposition,[],[f594,f667]) ).

fof(f4058,plain,
    ( ~ spl69_49
    | spl69_53 ),
    inference(avatar_contradiction_clause,[],[f4057]) ).

fof(f4057,plain,
    ( $false
    | ~ spl69_49
    | spl69_53 ),
    inference(subsumption_resolution,[],[f4056,f376]) ).

fof(f4056,plain,
    ( ~ ssList(sK19)
    | ~ spl69_49
    | spl69_53 ),
    inference(subsumption_resolution,[],[f4055,f3757]) ).

fof(f4055,plain,
    ( ~ frontsegP(sK19,sK19)
    | ~ ssList(sK19)
    | spl69_53 ),
    inference(duplicate_literal_removal,[],[f4054]) ).

fof(f4054,plain,
    ( ~ frontsegP(sK19,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_53 ),
    inference(resolution,[],[f4048,f582]) ).

fof(f4048,plain,
    ( ~ ssList(sK66(sK19,sK19))
    | spl69_53 ),
    inference(avatar_component_clause,[],[f4046]) ).

fof(f4046,plain,
    ( spl69_53
  <=> ssList(sK66(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_53])]) ).

fof(f4053,plain,
    ( ~ spl69_53
    | spl69_54
    | ~ spl69_49 ),
    inference(avatar_split_clause,[],[f4002,f3703,f4050,f4046]) ).

fof(f4050,plain,
    ( spl69_54
  <=> rearsegP(sK19,sK66(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_54])]) ).

fof(f4002,plain,
    ( rearsegP(sK19,sK66(sK19,sK19))
    | ~ ssList(sK66(sK19,sK19))
    | ~ spl69_49 ),
    inference(subsumption_resolution,[],[f3996,f376]) ).

fof(f3996,plain,
    ( rearsegP(sK19,sK66(sK19,sK19))
    | ~ ssList(sK19)
    | ~ ssList(sK66(sK19,sK19))
    | ~ spl69_49 ),
    inference(superposition,[],[f2167,f3766]) ).

fof(f3766,plain,
    ( sK19 = app(sK19,sK66(sK19,sK19))
    | ~ spl69_49 ),
    inference(subsumption_resolution,[],[f3764,f376]) ).

fof(f3764,plain,
    ( sK19 = app(sK19,sK66(sK19,sK19))
    | ~ ssList(sK19)
    | ~ spl69_49 ),
    inference(duplicate_literal_removal,[],[f3761]) ).

fof(f3761,plain,
    ( sK19 = app(sK19,sK66(sK19,sK19))
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_49 ),
    inference(resolution,[],[f3757,f583]) ).

fof(f4027,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_51
    | ~ spl69_52 ),
    inference(avatar_contradiction_clause,[],[f4026]) ).

fof(f4026,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_51
    | ~ spl69_52 ),
    inference(subsumption_resolution,[],[f4025,f1667]) ).

fof(f4025,plain,
    ( ~ ssList(tl(sK19))
    | spl69_51
    | ~ spl69_52 ),
    inference(subsumption_resolution,[],[f4024,f394]) ).

fof(f4024,plain,
    ( ~ ssList(nil)
    | ~ ssList(tl(sK19))
    | spl69_51
    | ~ spl69_52 ),
    inference(subsumption_resolution,[],[f4023,f4011]) ).

fof(f4011,plain,
    ( rearsegP(tl(sK19),nil)
    | ~ spl69_52 ),
    inference(avatar_component_clause,[],[f4009]) ).

fof(f4009,plain,
    ( spl69_52
  <=> rearsegP(tl(sK19),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_52])]) ).

fof(f4023,plain,
    ( ~ rearsegP(tl(sK19),nil)
    | ~ ssList(nil)
    | ~ ssList(tl(sK19))
    | spl69_51 ),
    inference(resolution,[],[f4007,f575]) ).

fof(f4007,plain,
    ( ~ ssList(sK63(tl(sK19),nil))
    | spl69_51 ),
    inference(avatar_component_clause,[],[f4005]) ).

fof(f4019,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_52 ),
    inference(avatar_contradiction_clause,[],[f4018]) ).

fof(f4018,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_52 ),
    inference(subsumption_resolution,[],[f4017,f394]) ).

fof(f4017,plain,
    ( ~ ssList(nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_52 ),
    inference(subsumption_resolution,[],[f4014,f635]) ).

fof(f4014,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_52 ),
    inference(resolution,[],[f4010,f2831]) ).

fof(f2831,plain,
    ( ! [X0] :
        ( rearsegP(tl(sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f2830,f1663]) ).

fof(f2830,plain,
    ( ! [X0] :
        ( rearsegP(sK22(sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) )
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f2829,f394]) ).

fof(f2829,plain,
    ( ! [X0] :
        ( rearsegP(sK22(sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f2794,f1515]) ).

fof(f2794,plain,
    ( ! [X0] :
        ( rearsegP(sK22(sK19),X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(sK22(sK19))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl69_17 ),
    inference(superposition,[],[f592,f1526]) ).

fof(f1526,plain,
    ( sK22(sK19) = app(sK22(sK19),nil)
    | ~ spl69_17 ),
    inference(resolution,[],[f1515,f456]) ).

fof(f4010,plain,
    ( ~ rearsegP(tl(sK19),nil)
    | spl69_52 ),
    inference(avatar_component_clause,[],[f4009]) ).

fof(f4016,plain,
    ( spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_52 ),
    inference(avatar_contradiction_clause,[],[f4015]) ).

fof(f4015,plain,
    ( $false
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | spl69_52 ),
    inference(subsumption_resolution,[],[f4013,f1667]) ).

fof(f4013,plain,
    ( ~ ssList(tl(sK19))
    | spl69_52 ),
    inference(resolution,[],[f4010,f450]) ).

fof(f4012,plain,
    ( ~ spl69_51
    | spl69_52
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(avatar_split_clause,[],[f3754,f1514,f1470,f1388,f645,f4009,f4005]) ).

fof(f3754,plain,
    ( rearsegP(tl(sK19),nil)
    | ~ ssList(sK63(tl(sK19),nil))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(subsumption_resolution,[],[f3750,f394]) ).

fof(f3750,plain,
    ( rearsegP(tl(sK19),nil)
    | ~ ssList(sK63(tl(sK19),nil))
    | ~ ssList(nil)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(superposition,[],[f2167,f3630]) ).

fof(f3725,plain,
    ( spl69_49
    | ~ spl69_50 ),
    inference(avatar_contradiction_clause,[],[f3724]) ).

fof(f3724,plain,
    ( $false
    | spl69_49
    | ~ spl69_50 ),
    inference(subsumption_resolution,[],[f3723,f376]) ).

fof(f3723,plain,
    ( ~ ssList(sK19)
    | spl69_49
    | ~ spl69_50 ),
    inference(subsumption_resolution,[],[f3722,f394]) ).

fof(f3722,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_49
    | ~ spl69_50 ),
    inference(subsumption_resolution,[],[f3721,f3709]) ).

fof(f3721,plain,
    ( ~ rearsegP(sK19,nil)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_49 ),
    inference(resolution,[],[f3705,f575]) ).

fof(f3705,plain,
    ( ~ ssList(sK63(sK19,nil))
    | spl69_49 ),
    inference(avatar_component_clause,[],[f3703]) ).

fof(f3717,plain,
    spl69_50,
    inference(avatar_contradiction_clause,[],[f3716]) ).

fof(f3716,plain,
    ( $false
    | spl69_50 ),
    inference(subsumption_resolution,[],[f3715,f394]) ).

fof(f3715,plain,
    ( ~ ssList(nil)
    | spl69_50 ),
    inference(subsumption_resolution,[],[f3712,f635]) ).

fof(f3712,plain,
    ( ~ rearsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_50 ),
    inference(resolution,[],[f3708,f2828]) ).

fof(f3708,plain,
    ( ~ rearsegP(sK19,nil)
    | spl69_50 ),
    inference(avatar_component_clause,[],[f3707]) ).

fof(f3714,plain,
    spl69_50,
    inference(avatar_contradiction_clause,[],[f3713]) ).

fof(f3713,plain,
    ( $false
    | spl69_50 ),
    inference(subsumption_resolution,[],[f3711,f376]) ).

fof(f3711,plain,
    ( ~ ssList(sK19)
    | spl69_50 ),
    inference(resolution,[],[f3708,f450]) ).

fof(f3710,plain,
    ( ~ spl69_49
    | spl69_50 ),
    inference(avatar_split_clause,[],[f3645,f3707,f3703]) ).

fof(f3446,plain,
    ( ~ spl69_47
    | spl69_48
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(avatar_split_clause,[],[f3434,f2208,f2204,f1514,f1470,f1388,f645,f3443,f3439]) ).

fof(f3439,plain,
    ( spl69_47
  <=> rearsegP(nil,cons(hd(sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_47])]) ).

fof(f3443,plain,
    ( spl69_48
  <=> rearsegP(tl(sK19),sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_48])]) ).

fof(f2208,plain,
    ( spl69_30
  <=> ssList(cons(hd(sK19),sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_30])]) ).

fof(f3434,plain,
    ( rearsegP(tl(sK19),sK19)
    | ~ rearsegP(nil,cons(hd(sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f3433,f2210]) ).

fof(f2210,plain,
    ( ssList(cons(hd(sK19),sK19))
    | ~ spl69_30 ),
    inference(avatar_component_clause,[],[f2208]) ).

fof(f3433,plain,
    ( rearsegP(tl(sK19),sK19)
    | ~ rearsegP(nil,cons(hd(sK19),sK19))
    | ~ ssList(cons(hd(sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f3420,f1667]) ).

fof(f3420,plain,
    ( rearsegP(tl(sK19),sK19)
    | ~ ssList(tl(sK19))
    | ~ rearsegP(nil,cons(hd(sK19),sK19))
    | ~ ssList(cons(hd(sK19),sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(resolution,[],[f3366,f2831]) ).

fof(f3366,plain,
    ( ! [X0] :
        ( ~ rearsegP(X0,cons(hd(sK19),sK19))
        | rearsegP(X0,sK19)
        | ~ ssList(X0) )
    | ~ spl69_15
    | ~ spl69_29
    | ~ spl69_30 ),
    inference(subsumption_resolution,[],[f3365,f2210]) ).

fof(f3365,plain,
    ( ! [X0] :
        ( rearsegP(X0,sK19)
        | ~ rearsegP(X0,cons(hd(sK19),sK19))
        | ~ ssList(cons(hd(sK19),sK19))
        | ~ ssList(X0) )
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(subsumption_resolution,[],[f3328,f376]) ).

fof(f3328,plain,
    ( ! [X0] :
        ( rearsegP(X0,sK19)
        | ~ rearsegP(X0,cons(hd(sK19),sK19))
        | ~ ssList(sK19)
        | ~ ssList(cons(hd(sK19),sK19))
        | ~ ssList(X0) )
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(resolution,[],[f596,f2272]) ).

fof(f2272,plain,
    ( rearsegP(cons(hd(sK19),sK19),sK19)
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(subsumption_resolution,[],[f2271,f376]) ).

fof(f2271,plain,
    ( rearsegP(cons(hd(sK19),sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_15
    | ~ spl69_29 ),
    inference(subsumption_resolution,[],[f2262,f2205]) ).

fof(f2262,plain,
    ( rearsegP(cons(hd(sK19),sK19),sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ ssList(sK19)
    | ~ spl69_15 ),
    inference(superposition,[],[f2167,f1851]) ).

fof(f3103,plain,
    ( ~ spl69_43
    | spl69_45
    | spl69_46 ),
    inference(avatar_contradiction_clause,[],[f3102]) ).

fof(f3102,plain,
    ( $false
    | ~ spl69_43
    | spl69_45
    | spl69_46 ),
    inference(subsumption_resolution,[],[f3098,f393]) ).

fof(f3098,plain,
    ( ~ strictorderedP(nil)
    | ~ spl69_43
    | spl69_45
    | spl69_46 ),
    inference(superposition,[],[f3071,f3092]) ).

fof(f3092,plain,
    ( nil = sK63(sK19,sK19)
    | ~ spl69_43
    | spl69_46 ),
    inference(subsumption_resolution,[],[f3091,f394]) ).

fof(f3091,plain,
    ( nil = sK63(sK19,sK19)
    | ~ ssList(nil)
    | ~ spl69_43
    | spl69_46 ),
    inference(subsumption_resolution,[],[f3089,f3013]) ).

fof(f3013,plain,
    ( ssList(sK63(sK19,sK19))
    | ~ spl69_43 ),
    inference(avatar_component_clause,[],[f3012]) ).

fof(f3012,plain,
    ( spl69_43
  <=> ssList(sK63(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_43])]) ).

fof(f3089,plain,
    ( nil = sK63(sK19,sK19)
    | ~ ssList(sK63(sK19,sK19))
    | ~ ssList(nil)
    | spl69_46 ),
    inference(resolution,[],[f3075,f574]) ).

fof(f3075,plain,
    ( ~ neq(nil,sK63(sK19,sK19))
    | spl69_46 ),
    inference(avatar_component_clause,[],[f3073]) ).

fof(f3073,plain,
    ( spl69_46
  <=> neq(nil,sK63(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_46])]) ).

fof(f3071,plain,
    ( ~ strictorderedP(sK63(sK19,sK19))
    | spl69_45 ),
    inference(avatar_component_clause,[],[f3069]) ).

fof(f3069,plain,
    ( spl69_45
  <=> strictorderedP(sK63(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_45])]) ).

fof(f3076,plain,
    ( ~ spl69_45
    | ~ spl69_46
    | ~ spl69_2
    | ~ spl69_43
    | ~ spl69_44 ),
    inference(avatar_split_clause,[],[f3039,f3016,f3012,f649,f3073,f3069]) ).

fof(f3016,plain,
    ( spl69_44
  <=> frontsegP(sK19,sK63(sK19,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_44])]) ).

fof(f3039,plain,
    ( ~ neq(nil,sK63(sK19,sK19))
    | ~ strictorderedP(sK63(sK19,sK19))
    | ~ spl69_2
    | ~ spl69_43
    | ~ spl69_44 ),
    inference(subsumption_resolution,[],[f3035,f3013]) ).

fof(f3035,plain,
    ( ~ neq(nil,sK63(sK19,sK19))
    | ~ strictorderedP(sK63(sK19,sK19))
    | ~ ssList(sK63(sK19,sK19))
    | ~ spl69_2
    | ~ spl69_44 ),
    inference(resolution,[],[f3018,f1129]) ).

fof(f3018,plain,
    ( frontsegP(sK19,sK63(sK19,sK19))
    | ~ spl69_44 ),
    inference(avatar_component_clause,[],[f3016]) ).

fof(f3024,plain,
    ( ~ spl69_2
    | ~ spl69_39
    | ~ spl69_40
    | spl69_43 ),
    inference(avatar_contradiction_clause,[],[f3023]) ).

fof(f3023,plain,
    ( $false
    | ~ spl69_2
    | ~ spl69_39
    | ~ spl69_40
    | spl69_43 ),
    inference(subsumption_resolution,[],[f3022,f376]) ).

fof(f3022,plain,
    ( ~ ssList(sK19)
    | ~ spl69_2
    | ~ spl69_39
    | ~ spl69_40
    | spl69_43 ),
    inference(subsumption_resolution,[],[f3021,f2769]) ).

fof(f2769,plain,
    ( rearsegP(sK19,sK19)
    | ~ spl69_2
    | ~ spl69_39
    | ~ spl69_40 ),
    inference(superposition,[],[f2744,f2761]) ).

fof(f2761,plain,
    ( sK19 = sK66(sK19,nil)
    | ~ spl69_2
    | ~ spl69_39 ),
    inference(forward_demodulation,[],[f2752,f2713]) ).

fof(f2713,plain,
    ( sK19 = app(nil,sK66(sK19,nil))
    | ~ spl69_2 ),
    inference(forward_demodulation,[],[f2712,f650]) ).

fof(f2712,plain,
    sK19 = app(sK18,sK66(sK19,sK18)),
    inference(subsumption_resolution,[],[f2711,f376]) ).

fof(f2711,plain,
    ( sK19 = app(sK18,sK66(sK19,sK18))
    | ~ ssList(sK19) ),
    inference(subsumption_resolution,[],[f2690,f375]) ).

fof(f2690,plain,
    ( sK19 = app(sK18,sK66(sK19,sK18))
    | ~ ssList(sK18)
    | ~ ssList(sK19) ),
    inference(resolution,[],[f583,f643]) ).

fof(f2752,plain,
    ( sK66(sK19,nil) = app(nil,sK66(sK19,nil))
    | ~ spl69_39 ),
    inference(resolution,[],[f2739,f457]) ).

fof(f2739,plain,
    ( ssList(sK66(sK19,nil))
    | ~ spl69_39 ),
    inference(avatar_component_clause,[],[f2738]) ).

fof(f2738,plain,
    ( spl69_39
  <=> ssList(sK66(sK19,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_39])]) ).

fof(f2744,plain,
    ( rearsegP(sK19,sK66(sK19,nil))
    | ~ spl69_40 ),
    inference(avatar_component_clause,[],[f2742]) ).

fof(f2742,plain,
    ( spl69_40
  <=> rearsegP(sK19,sK66(sK19,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_40])]) ).

fof(f3021,plain,
    ( ~ rearsegP(sK19,sK19)
    | ~ ssList(sK19)
    | spl69_43 ),
    inference(duplicate_literal_removal,[],[f3020]) ).

fof(f3020,plain,
    ( ~ rearsegP(sK19,sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | spl69_43 ),
    inference(resolution,[],[f3014,f575]) ).

fof(f3014,plain,
    ( ~ ssList(sK63(sK19,sK19))
    | spl69_43 ),
    inference(avatar_component_clause,[],[f3012]) ).

fof(f3019,plain,
    ( ~ spl69_43
    | spl69_44
    | ~ spl69_2
    | ~ spl69_39
    | ~ spl69_40 ),
    inference(avatar_split_clause,[],[f2855,f2742,f2738,f649,f3016,f3012]) ).

fof(f2855,plain,
    ( frontsegP(sK19,sK63(sK19,sK19))
    | ~ ssList(sK63(sK19,sK19))
    | ~ spl69_2
    | ~ spl69_39
    | ~ spl69_40 ),
    inference(subsumption_resolution,[],[f2853,f376]) ).

fof(f2853,plain,
    ( frontsegP(sK19,sK63(sK19,sK19))
    | ~ ssList(sK19)
    | ~ ssList(sK63(sK19,sK19))
    | ~ spl69_2
    | ~ spl69_39
    | ~ spl69_40 ),
    inference(superposition,[],[f2302,f2777]) ).

fof(f2777,plain,
    ( sK19 = app(sK63(sK19,sK19),sK19)
    | ~ spl69_2
    | ~ spl69_39
    | ~ spl69_40 ),
    inference(subsumption_resolution,[],[f2776,f376]) ).

fof(f2776,plain,
    ( sK19 = app(sK63(sK19,sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_2
    | ~ spl69_39
    | ~ spl69_40 ),
    inference(duplicate_literal_removal,[],[f2773]) ).

fof(f2773,plain,
    ( sK19 = app(sK63(sK19,sK19),sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_2
    | ~ spl69_39
    | ~ spl69_40 ),
    inference(resolution,[],[f2769,f576]) ).

fof(f2879,plain,
    spl69_41,
    inference(avatar_contradiction_clause,[],[f2878]) ).

fof(f2878,plain,
    ( $false
    | spl69_41 ),
    inference(subsumption_resolution,[],[f2877,f394]) ).

fof(f2877,plain,
    ( ~ ssList(nil)
    | spl69_41 ),
    inference(subsumption_resolution,[],[f2876,f637]) ).

fof(f2876,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | spl69_41 ),
    inference(duplicate_literal_removal,[],[f2875]) ).

fof(f2875,plain,
    ( ~ frontsegP(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(nil)
    | spl69_41 ),
    inference(resolution,[],[f2869,f582]) ).

fof(f2869,plain,
    ( ~ ssList(sK66(nil,nil))
    | spl69_41 ),
    inference(avatar_component_clause,[],[f2867]) ).

fof(f2867,plain,
    ( spl69_41
  <=> ssList(sK66(nil,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_41])]) ).

fof(f2874,plain,
    ( ~ spl69_41
    | spl69_42
    | ~ spl69_2
    | ~ spl69_4 ),
    inference(avatar_split_clause,[],[f2735,f766,f649,f2871,f2867]) ).

fof(f2871,plain,
    ( spl69_42
  <=> nil = sK66(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_42])]) ).

fof(f766,plain,
    ( spl69_4
  <=> frontsegP(sK18,sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).

fof(f2735,plain,
    ( nil = sK66(nil,nil)
    | ~ ssList(sK66(nil,nil))
    | ~ spl69_2
    | ~ spl69_4 ),
    inference(subsumption_resolution,[],[f2732,f394]) ).

fof(f2732,plain,
    ( nil = sK66(nil,nil)
    | ~ ssList(sK66(nil,nil))
    | ~ ssList(nil)
    | ~ spl69_2
    | ~ spl69_4 ),
    inference(trivial_inequality_removal,[],[f2728]) ).

fof(f2728,plain,
    ( nil != nil
    | nil = sK66(nil,nil)
    | ~ ssList(sK66(nil,nil))
    | ~ ssList(nil)
    | ~ spl69_2
    | ~ spl69_4 ),
    inference(superposition,[],[f585,f2707]) ).

fof(f2707,plain,
    ( nil = app(nil,sK66(nil,nil))
    | ~ spl69_2
    | ~ spl69_4 ),
    inference(forward_demodulation,[],[f2706,f650]) ).

fof(f2706,plain,
    ( sK18 = app(sK18,sK66(sK18,sK18))
    | ~ spl69_4 ),
    inference(subsumption_resolution,[],[f2692,f375]) ).

fof(f2692,plain,
    ( sK18 = app(sK18,sK66(sK18,sK18))
    | ~ ssList(sK18)
    | ~ spl69_4 ),
    inference(duplicate_literal_removal,[],[f2688]) ).

fof(f2688,plain,
    ( sK18 = app(sK18,sK66(sK18,sK18))
    | ~ ssList(sK18)
    | ~ ssList(sK18)
    | ~ spl69_4 ),
    inference(resolution,[],[f583,f767]) ).

fof(f767,plain,
    ( frontsegP(sK18,sK18)
    | ~ spl69_4 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f2750,plain,
    ( ~ spl69_2
    | spl69_39 ),
    inference(avatar_contradiction_clause,[],[f2749]) ).

fof(f2749,plain,
    ( $false
    | ~ spl69_2
    | spl69_39 ),
    inference(subsumption_resolution,[],[f2748,f376]) ).

fof(f2748,plain,
    ( ~ ssList(sK19)
    | ~ spl69_2
    | spl69_39 ),
    inference(subsumption_resolution,[],[f2747,f394]) ).

fof(f2747,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK19)
    | ~ spl69_2
    | spl69_39 ),
    inference(subsumption_resolution,[],[f2746,f1114]) ).

fof(f2746,plain,
    ( ~ frontsegP(sK19,nil)
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_39 ),
    inference(resolution,[],[f2740,f582]) ).

fof(f2740,plain,
    ( ~ ssList(sK66(sK19,nil))
    | spl69_39 ),
    inference(avatar_component_clause,[],[f2738]) ).

fof(f2745,plain,
    ( ~ spl69_39
    | spl69_40
    | ~ spl69_2 ),
    inference(avatar_split_clause,[],[f2724,f649,f2742,f2738]) ).

fof(f2724,plain,
    ( rearsegP(sK19,sK66(sK19,nil))
    | ~ ssList(sK66(sK19,nil))
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f2721,f394]) ).

fof(f2721,plain,
    ( rearsegP(sK19,sK66(sK19,nil))
    | ~ ssList(nil)
    | ~ ssList(sK66(sK19,nil))
    | ~ spl69_2 ),
    inference(superposition,[],[f2167,f2713]) ).

fof(f2538,plain,
    ~ spl69_37,
    inference(avatar_contradiction_clause,[],[f2537]) ).

fof(f2537,plain,
    ( $false
    | ~ spl69_37 ),
    inference(subsumption_resolution,[],[f2536,f394]) ).

fof(f2536,plain,
    ( ~ ssList(nil)
    | ~ spl69_37 ),
    inference(subsumption_resolution,[],[f2524,f601]) ).

fof(f2524,plain,
    ( ~ ssItem(sK68)
    | ~ ssList(nil)
    | ~ spl69_37 ),
    inference(trivial_inequality_removal,[],[f2522]) ).

fof(f2522,plain,
    ( nil != nil
    | ~ ssItem(sK68)
    | ~ ssList(nil)
    | ~ spl69_37 ),
    inference(superposition,[],[f558,f2463]) ).

fof(f2463,plain,
    ( nil = cons(sK68,nil)
    | ~ spl69_37 ),
    inference(avatar_component_clause,[],[f2461]) ).

fof(f2535,plain,
    ~ spl69_37,
    inference(avatar_contradiction_clause,[],[f2534]) ).

fof(f2534,plain,
    ( $false
    | ~ spl69_37 ),
    inference(subsumption_resolution,[],[f2533,f394]) ).

fof(f2533,plain,
    ( ~ ssList(nil)
    | ~ spl69_37 ),
    inference(subsumption_resolution,[],[f2525,f601]) ).

fof(f2525,plain,
    ( ~ ssItem(sK68)
    | ~ ssList(nil)
    | ~ spl69_37 ),
    inference(trivial_inequality_removal,[],[f2521]) ).

fof(f2521,plain,
    ( nil != nil
    | ~ ssItem(sK68)
    | ~ ssList(nil)
    | ~ spl69_37 ),
    inference(superposition,[],[f557,f2463]) ).

fof(f2532,plain,
    ( ~ spl69_27
    | ~ spl69_37 ),
    inference(avatar_contradiction_clause,[],[f2531]) ).

fof(f2531,plain,
    ( $false
    | ~ spl69_27
    | ~ spl69_37 ),
    inference(subsumption_resolution,[],[f2530,f1931]) ).

fof(f2530,plain,
    ( ~ ssList(cons(sK68,nil))
    | ~ spl69_37 ),
    inference(subsumption_resolution,[],[f2529,f601]) ).

fof(f2529,plain,
    ( ~ ssItem(sK68)
    | ~ ssList(cons(sK68,nil))
    | ~ spl69_37 ),
    inference(subsumption_resolution,[],[f2514,f386]) ).

fof(f2514,plain,
    ( singletonP(nil)
    | ~ ssItem(sK68)
    | ~ ssList(cons(sK68,nil))
    | ~ spl69_37 ),
    inference(superposition,[],[f611,f2463]) ).

fof(f2528,plain,
    ( spl69_34
    | ~ spl69_37 ),
    inference(avatar_contradiction_clause,[],[f2527]) ).

fof(f2527,plain,
    ( $false
    | spl69_34
    | ~ spl69_37 ),
    inference(subsumption_resolution,[],[f2526,f2299]) ).

fof(f2299,plain,
    ( sK19 != cons(sK68,sK19)
    | spl69_34 ),
    inference(avatar_component_clause,[],[f2298]) ).

fof(f2298,plain,
    ( spl69_34
  <=> sK19 = cons(sK68,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_34])]) ).

fof(f2526,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ spl69_37 ),
    inference(forward_demodulation,[],[f2499,f695]) ).

fof(f2499,plain,
    ( app(nil,sK19) = cons(sK68,sK19)
    | ~ spl69_37 ),
    inference(superposition,[],[f1871,f2463]) ).

fof(f2468,plain,
    ( spl69_37
    | spl69_38
    | ~ spl69_2
    | ~ spl69_27 ),
    inference(avatar_split_clause,[],[f1958,f1930,f649,f2465,f2461]) ).

fof(f2465,plain,
    ( spl69_38
  <=> sK68 = sK24(cons(sK68,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_38])]) ).

fof(f1958,plain,
    ( sK68 = sK24(cons(sK68,nil))
    | nil = cons(sK68,nil)
    | ~ spl69_2
    | ~ spl69_27 ),
    inference(forward_demodulation,[],[f1952,f1127]) ).

fof(f1127,plain,
    ( sK68 = hd(cons(sK68,nil))
    | ~ spl69_2 ),
    inference(superposition,[],[f1057,f650]) ).

fof(f1952,plain,
    ( nil = cons(sK68,nil)
    | hd(cons(sK68,nil)) = sK24(cons(sK68,nil))
    | ~ spl69_27 ),
    inference(resolution,[],[f1931,f465]) ).

fof(f2454,plain,
    ~ spl69_35,
    inference(avatar_contradiction_clause,[],[f2453]) ).

fof(f2453,plain,
    ( $false
    | ~ spl69_35 ),
    inference(subsumption_resolution,[],[f2452,f394]) ).

fof(f2452,plain,
    ( ~ ssList(nil)
    | ~ spl69_35 ),
    inference(subsumption_resolution,[],[f2440,f600]) ).

fof(f2440,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_35 ),
    inference(trivial_inequality_removal,[],[f2438]) ).

fof(f2438,plain,
    ( nil != nil
    | ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_35 ),
    inference(superposition,[],[f558,f2407]) ).

fof(f2407,plain,
    ( nil = cons(sK67,nil)
    | ~ spl69_35 ),
    inference(avatar_component_clause,[],[f2405]) ).

fof(f2451,plain,
    ~ spl69_35,
    inference(avatar_contradiction_clause,[],[f2450]) ).

fof(f2450,plain,
    ( $false
    | ~ spl69_35 ),
    inference(subsumption_resolution,[],[f2449,f394]) ).

fof(f2449,plain,
    ( ~ ssList(nil)
    | ~ spl69_35 ),
    inference(subsumption_resolution,[],[f2441,f600]) ).

fof(f2441,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_35 ),
    inference(trivial_inequality_removal,[],[f2437]) ).

fof(f2437,plain,
    ( nil != nil
    | ~ ssItem(sK67)
    | ~ ssList(nil)
    | ~ spl69_35 ),
    inference(superposition,[],[f557,f2407]) ).

fof(f2448,plain,
    ( ~ spl69_25
    | ~ spl69_35 ),
    inference(avatar_contradiction_clause,[],[f2447]) ).

fof(f2447,plain,
    ( $false
    | ~ spl69_25
    | ~ spl69_35 ),
    inference(subsumption_resolution,[],[f2446,f1882]) ).

fof(f2446,plain,
    ( ~ ssList(cons(sK67,nil))
    | ~ spl69_35 ),
    inference(subsumption_resolution,[],[f2445,f600]) ).

fof(f2445,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(cons(sK67,nil))
    | ~ spl69_35 ),
    inference(subsumption_resolution,[],[f2430,f386]) ).

fof(f2430,plain,
    ( singletonP(nil)
    | ~ ssItem(sK67)
    | ~ ssList(cons(sK67,nil))
    | ~ spl69_35 ),
    inference(superposition,[],[f611,f2407]) ).

fof(f2444,plain,
    ( spl69_32
    | ~ spl69_35 ),
    inference(avatar_contradiction_clause,[],[f2443]) ).

fof(f2443,plain,
    ( $false
    | spl69_32
    | ~ spl69_35 ),
    inference(subsumption_resolution,[],[f2442,f2290]) ).

fof(f2290,plain,
    ( sK19 != cons(sK67,sK19)
    | spl69_32 ),
    inference(avatar_component_clause,[],[f2289]) ).

fof(f2289,plain,
    ( spl69_32
  <=> sK19 = cons(sK67,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_32])]) ).

fof(f2442,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ spl69_35 ),
    inference(forward_demodulation,[],[f2415,f695]) ).

fof(f2415,plain,
    ( app(nil,sK19) = cons(sK67,sK19)
    | ~ spl69_35 ),
    inference(superposition,[],[f1870,f2407]) ).

fof(f2412,plain,
    ( spl69_35
    | spl69_36
    | ~ spl69_2
    | ~ spl69_25 ),
    inference(avatar_split_clause,[],[f1903,f1881,f649,f2409,f2405]) ).

fof(f2409,plain,
    ( spl69_36
  <=> sK67 = sK24(cons(sK67,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_36])]) ).

fof(f1903,plain,
    ( sK67 = sK24(cons(sK67,nil))
    | nil = cons(sK67,nil)
    | ~ spl69_2
    | ~ spl69_25 ),
    inference(forward_demodulation,[],[f1897,f1126]) ).

fof(f1126,plain,
    ( sK67 = hd(cons(sK67,nil))
    | ~ spl69_2 ),
    inference(superposition,[],[f1056,f650]) ).

fof(f1897,plain,
    ( nil = cons(sK67,nil)
    | hd(cons(sK67,nil)) = sK24(cons(sK67,nil))
    | ~ spl69_25 ),
    inference(resolution,[],[f1882,f465]) ).

fof(f2301,plain,
    ( ~ spl69_33
    | spl69_34
    | ~ spl69_27
    | ~ spl69_28 ),
    inference(avatar_split_clause,[],[f2278,f1934,f1930,f2298,f2294]) ).

fof(f2294,plain,
    ( spl69_33
  <=> rearsegP(sK19,cons(sK68,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_33])]) ).

fof(f2278,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ rearsegP(sK19,cons(sK68,sK19))
    | ~ spl69_27
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f2277,f376]) ).

fof(f2277,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ rearsegP(sK19,cons(sK68,sK19))
    | ~ ssList(sK19)
    | ~ spl69_27
    | ~ spl69_28 ),
    inference(subsumption_resolution,[],[f2276,f1936]) ).

fof(f2276,plain,
    ( sK19 = cons(sK68,sK19)
    | ~ rearsegP(sK19,cons(sK68,sK19))
    | ~ ssList(cons(sK68,sK19))
    | ~ ssList(sK19)
    | ~ spl69_27 ),
    inference(resolution,[],[f2270,f570]) ).

fof(f2270,plain,
    ( rearsegP(cons(sK68,sK19),sK19)
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f2269,f376]) ).

fof(f2269,plain,
    ( rearsegP(cons(sK68,sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_27 ),
    inference(subsumption_resolution,[],[f2261,f1931]) ).

fof(f2261,plain,
    ( rearsegP(cons(sK68,sK19),sK19)
    | ~ ssList(cons(sK68,nil))
    | ~ ssList(sK19) ),
    inference(superposition,[],[f2167,f1871]) ).

fof(f2292,plain,
    ( ~ spl69_31
    | spl69_32
    | ~ spl69_25
    | ~ spl69_26 ),
    inference(avatar_split_clause,[],[f2275,f1885,f1881,f2289,f2285]) ).

fof(f2285,plain,
    ( spl69_31
  <=> rearsegP(sK19,cons(sK67,sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_31])]) ).

fof(f2275,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ rearsegP(sK19,cons(sK67,sK19))
    | ~ spl69_25
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f2274,f376]) ).

fof(f2274,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ rearsegP(sK19,cons(sK67,sK19))
    | ~ ssList(sK19)
    | ~ spl69_25
    | ~ spl69_26 ),
    inference(subsumption_resolution,[],[f2273,f1887]) ).

fof(f2273,plain,
    ( sK19 = cons(sK67,sK19)
    | ~ rearsegP(sK19,cons(sK67,sK19))
    | ~ ssList(cons(sK67,sK19))
    | ~ ssList(sK19)
    | ~ spl69_25 ),
    inference(resolution,[],[f2268,f570]) ).

fof(f2268,plain,
    ( rearsegP(cons(sK67,sK19),sK19)
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f2267,f376]) ).

fof(f2267,plain,
    ( rearsegP(cons(sK67,sK19),sK19)
    | ~ ssList(sK19)
    | ~ spl69_25 ),
    inference(subsumption_resolution,[],[f2260,f1882]) ).

fof(f2260,plain,
    ( rearsegP(cons(sK67,sK19),sK19)
    | ~ ssList(cons(sK67,nil))
    | ~ ssList(sK19) ),
    inference(superposition,[],[f2167,f1870]) ).

fof(f2215,plain,
    ( ~ spl69_15
    | spl69_29 ),
    inference(avatar_contradiction_clause,[],[f2214]) ).

fof(f2214,plain,
    ( $false
    | ~ spl69_15
    | spl69_29 ),
    inference(subsumption_resolution,[],[f2213,f394]) ).

fof(f2213,plain,
    ( ~ ssList(nil)
    | ~ spl69_15
    | spl69_29 ),
    inference(subsumption_resolution,[],[f2212,f1471]) ).

fof(f2212,plain,
    ( ~ ssItem(hd(sK19))
    | ~ ssList(nil)
    | spl69_29 ),
    inference(resolution,[],[f2206,f556]) ).

fof(f2206,plain,
    ( ~ ssList(cons(hd(sK19),nil))
    | spl69_29 ),
    inference(avatar_component_clause,[],[f2204]) ).

fof(f2211,plain,
    ( ~ spl69_29
    | spl69_30
    | ~ spl69_15 ),
    inference(avatar_split_clause,[],[f2202,f1470,f2208,f2204]) ).

fof(f2202,plain,
    ( ssList(cons(hd(sK19),sK19))
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_15 ),
    inference(subsumption_resolution,[],[f2198,f376]) ).

fof(f2198,plain,
    ( ssList(cons(hd(sK19),sK19))
    | ~ ssList(sK19)
    | ~ ssList(cons(hd(sK19),nil))
    | ~ spl69_15 ),
    inference(superposition,[],[f566,f1851]) ).

fof(f1941,plain,
    spl69_27,
    inference(avatar_contradiction_clause,[],[f1940]) ).

fof(f1940,plain,
    ( $false
    | spl69_27 ),
    inference(subsumption_resolution,[],[f1939,f394]) ).

fof(f1939,plain,
    ( ~ ssList(nil)
    | spl69_27 ),
    inference(subsumption_resolution,[],[f1938,f601]) ).

fof(f1938,plain,
    ( ~ ssItem(sK68)
    | ~ ssList(nil)
    | spl69_27 ),
    inference(resolution,[],[f1932,f556]) ).

fof(f1932,plain,
    ( ~ ssList(cons(sK68,nil))
    | spl69_27 ),
    inference(avatar_component_clause,[],[f1930]) ).

fof(f1937,plain,
    ( ~ spl69_27
    | spl69_28 ),
    inference(avatar_split_clause,[],[f1928,f1934,f1930]) ).

fof(f1892,plain,
    spl69_25,
    inference(avatar_contradiction_clause,[],[f1891]) ).

fof(f1891,plain,
    ( $false
    | spl69_25 ),
    inference(subsumption_resolution,[],[f1890,f394]) ).

fof(f1890,plain,
    ( ~ ssList(nil)
    | spl69_25 ),
    inference(subsumption_resolution,[],[f1889,f600]) ).

fof(f1889,plain,
    ( ~ ssItem(sK67)
    | ~ ssList(nil)
    | spl69_25 ),
    inference(resolution,[],[f1883,f556]) ).

fof(f1883,plain,
    ( ~ ssList(cons(sK67,nil))
    | spl69_25 ),
    inference(avatar_component_clause,[],[f1881]) ).

fof(f1888,plain,
    ( ~ spl69_25
    | spl69_26 ),
    inference(avatar_split_clause,[],[f1879,f1885,f1881]) ).

fof(f1792,plain,
    ( spl69_20
    | ~ spl69_23 ),
    inference(avatar_contradiction_clause,[],[f1791]) ).

fof(f1791,plain,
    ( $false
    | spl69_20
    | ~ spl69_23 ),
    inference(subsumption_resolution,[],[f1782,f609]) ).

fof(f1782,plain,
    ( ~ sP2(nil,hd(sK19))
    | spl69_20
    | ~ spl69_23 ),
    inference(superposition,[],[f1604,f1773]) ).

fof(f1773,plain,
    ( nil = tl(sK19)
    | ~ spl69_23 ),
    inference(avatar_component_clause,[],[f1771]) ).

fof(f1604,plain,
    ( ~ sP2(tl(sK19),hd(sK19))
    | spl69_20 ),
    inference(avatar_component_clause,[],[f1602]) ).

fof(f1602,plain,
    ( spl69_20
  <=> sP2(tl(sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_20])]) ).

fof(f1778,plain,
    ( spl69_23
    | spl69_24
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(avatar_split_clause,[],[f1767,f1514,f1470,f1388,f645,f1775,f1771]) ).

fof(f1775,plain,
    ( spl69_24
  <=> hd(tl(sK19)) = sK24(tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_24])]) ).

fof(f1767,plain,
    ( hd(tl(sK19)) = sK24(tl(sK19))
    | nil = tl(sK19)
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f1766,f1663]) ).

fof(f1766,plain,
    ( nil = tl(sK19)
    | hd(sK22(sK19)) = sK24(sK22(sK19))
    | spl69_1
    | ~ spl69_13
    | ~ spl69_15
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f1530,f1663]) ).

fof(f1530,plain,
    ( nil = sK22(sK19)
    | hd(sK22(sK19)) = sK24(sK22(sK19))
    | ~ spl69_17 ),
    inference(resolution,[],[f1515,f465]) ).

fof(f1640,plain,
    ( ~ spl69_15
    | ~ spl69_17
    | spl69_22 ),
    inference(avatar_contradiction_clause,[],[f1639]) ).

fof(f1639,plain,
    ( $false
    | ~ spl69_15
    | ~ spl69_17
    | spl69_22 ),
    inference(subsumption_resolution,[],[f1638,f1471]) ).

fof(f1638,plain,
    ( ~ ssItem(hd(sK19))
    | ~ spl69_17
    | spl69_22 ),
    inference(subsumption_resolution,[],[f1637,f1515]) ).

fof(f1637,plain,
    ( ~ ssList(sK22(sK19))
    | ~ ssItem(hd(sK19))
    | spl69_22 ),
    inference(resolution,[],[f1635,f446]) ).

fof(f1635,plain,
    ( ~ sP3(hd(sK19),sK22(sK19))
    | spl69_22 ),
    inference(avatar_component_clause,[],[f1633]) ).

fof(f1633,plain,
    ( spl69_22
  <=> sP3(hd(sK19),sK22(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_22])]) ).

fof(f1636,plain,
    ( ~ spl69_21
    | ~ spl69_22
    | spl69_1
    | spl69_11
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(avatar_split_clause,[],[f1596,f1514,f1388,f1187,f645,f1633,f1629]) ).

fof(f1629,plain,
    ( spl69_21
  <=> sP2(sK22(sK19),hd(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_21])]) ).

fof(f1187,plain,
    ( spl69_11
  <=> strictorderedP(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_11])]) ).

fof(f1596,plain,
    ( ~ sP3(hd(sK19),sK22(sK19))
    | ~ sP2(sK22(sK19),hd(sK19))
    | spl69_1
    | spl69_11
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f1595,f1560]) ).

fof(f1595,plain,
    ( ~ sP2(sK22(sK19),hd(sK19))
    | ~ sP3(sK23(sK19),sK22(sK19))
    | spl69_1
    | spl69_11
    | ~ spl69_13
    | ~ spl69_17 ),
    inference(forward_demodulation,[],[f1384,f1560]) ).

fof(f1384,plain,
    ( ~ sP2(sK22(sK19),sK23(sK19))
    | ~ sP3(sK23(sK19),sK22(sK19))
    | spl69_1
    | spl69_11 ),
    inference(subsumption_resolution,[],[f1379,f1189]) ).

fof(f1189,plain,
    ( ~ strictorderedP(sK19)
    | spl69_11 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f1379,plain,
    ( strictorderedP(sK19)
    | ~ sP2(sK22(sK19),sK23(sK19))
    | ~ sP3(sK23(sK19),sK22(sK19))
    | spl69_1 ),
    inference(superposition,[],[f440,f1371]) ).

fof(f1611,plain,
    ( spl69_1
    | ~ spl69_15
    | spl69_19 ),
    inference(avatar_contradiction_clause,[],[f1610]) ).

fof(f1610,plain,
    ( $false
    | spl69_1
    | ~ spl69_15
    | spl69_19 ),
    inference(subsumption_resolution,[],[f1609,f376]) ).

fof(f1609,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | ~ spl69_15
    | spl69_19 ),
    inference(subsumption_resolution,[],[f1608,f647]) ).

fof(f1608,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | ~ spl69_15
    | spl69_19 ),
    inference(resolution,[],[f1607,f462]) ).

fof(f1607,plain,
    ( ~ ssList(tl(sK19))
    | ~ spl69_15
    | spl69_19 ),
    inference(subsumption_resolution,[],[f1606,f1471]) ).

fof(f1606,plain,
    ( ~ ssList(tl(sK19))
    | ~ ssItem(hd(sK19))
    | spl69_19 ),
    inference(resolution,[],[f1600,f446]) ).

fof(f1600,plain,
    ( ~ sP3(hd(sK19),tl(sK19))
    | spl69_19 ),
    inference(avatar_component_clause,[],[f1598]) ).

fof(f1598,plain,
    ( spl69_19
  <=> sP3(hd(sK19),tl(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_19])]) ).

fof(f1605,plain,
    ( ~ spl69_19
    | ~ spl69_20
    | spl69_1
    | spl69_11 ),
    inference(avatar_split_clause,[],[f1466,f1187,f645,f1602,f1598]) ).

fof(f1466,plain,
    ( ~ sP2(tl(sK19),hd(sK19))
    | ~ sP3(hd(sK19),tl(sK19))
    | spl69_1
    | spl69_11 ),
    inference(subsumption_resolution,[],[f1461,f1189]) ).

fof(f1461,plain,
    ( strictorderedP(sK19)
    | ~ sP2(tl(sK19),hd(sK19))
    | ~ sP3(hd(sK19),tl(sK19))
    | spl69_1 ),
    inference(superposition,[],[f440,f1453]) ).

fof(f1525,plain,
    ( spl69_1
    | spl69_17 ),
    inference(avatar_contradiction_clause,[],[f1524]) ).

fof(f1524,plain,
    ( $false
    | spl69_1
    | spl69_17 ),
    inference(subsumption_resolution,[],[f1523,f376]) ).

fof(f1523,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | spl69_17 ),
    inference(subsumption_resolution,[],[f1522,f647]) ).

fof(f1522,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | spl69_17 ),
    inference(resolution,[],[f1516,f458]) ).

fof(f1516,plain,
    ( ~ ssList(sK22(sK19))
    | spl69_17 ),
    inference(avatar_component_clause,[],[f1514]) ).

fof(f1521,plain,
    ( ~ spl69_17
    | spl69_18
    | spl69_1
    | ~ spl69_13 ),
    inference(avatar_split_clause,[],[f1512,f1388,f645,f1518,f1514]) ).

fof(f1518,plain,
    ( spl69_18
  <=> memberP(sK19,sK23(sK19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_18])]) ).

fof(f1512,plain,
    ( memberP(sK19,sK23(sK19))
    | ~ ssList(sK22(sK19))
    | spl69_1
    | ~ spl69_13 ),
    inference(subsumption_resolution,[],[f1383,f1389]) ).

fof(f1481,plain,
    ( spl69_1
    | spl69_15 ),
    inference(avatar_contradiction_clause,[],[f1480]) ).

fof(f1480,plain,
    ( $false
    | spl69_1
    | spl69_15 ),
    inference(subsumption_resolution,[],[f1479,f376]) ).

fof(f1479,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | spl69_15 ),
    inference(subsumption_resolution,[],[f1478,f647]) ).

fof(f1478,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | spl69_15 ),
    inference(resolution,[],[f1472,f461]) ).

fof(f1472,plain,
    ( ~ ssItem(hd(sK19))
    | spl69_15 ),
    inference(avatar_component_clause,[],[f1470]) ).

fof(f1477,plain,
    ( ~ spl69_15
    | ~ spl69_16
    | spl69_1 ),
    inference(avatar_split_clause,[],[f1468,f645,f1474,f1470]) ).

fof(f1474,plain,
    ( spl69_16
  <=> sK19 = tl(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_16])]) ).

fof(f1399,plain,
    ( spl69_1
    | spl69_13 ),
    inference(avatar_contradiction_clause,[],[f1398]) ).

fof(f1398,plain,
    ( $false
    | spl69_1
    | spl69_13 ),
    inference(subsumption_resolution,[],[f1397,f376]) ).

fof(f1397,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | spl69_13 ),
    inference(subsumption_resolution,[],[f1396,f647]) ).

fof(f1396,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | spl69_13 ),
    inference(resolution,[],[f1390,f459]) ).

fof(f1390,plain,
    ( ~ ssItem(sK23(sK19))
    | spl69_13 ),
    inference(avatar_component_clause,[],[f1388]) ).

fof(f1395,plain,
    ( ~ spl69_13
    | ~ spl69_14
    | spl69_1 ),
    inference(avatar_split_clause,[],[f1386,f645,f1392,f1388]) ).

fof(f1392,plain,
    ( spl69_14
  <=> sK19 = sK22(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_14])]) ).

fof(f1200,plain,
    ( spl69_1
    | spl69_12 ),
    inference(avatar_contradiction_clause,[],[f1199]) ).

fof(f1199,plain,
    ( $false
    | spl69_1
    | spl69_12 ),
    inference(subsumption_resolution,[],[f1198,f394]) ).

fof(f1198,plain,
    ( ~ ssList(nil)
    | spl69_1
    | spl69_12 ),
    inference(subsumption_resolution,[],[f1197,f376]) ).

fof(f1197,plain,
    ( ~ ssList(sK19)
    | ~ ssList(nil)
    | spl69_1
    | spl69_12 ),
    inference(subsumption_resolution,[],[f1195,f647]) ).

fof(f1195,plain,
    ( nil = sK19
    | ~ ssList(sK19)
    | ~ ssList(nil)
    | spl69_12 ),
    inference(resolution,[],[f1193,f574]) ).

fof(f1193,plain,
    ( ~ neq(nil,sK19)
    | spl69_12 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1191,plain,
    ( spl69_12
  <=> neq(nil,sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_12])]) ).

fof(f1194,plain,
    ( ~ spl69_11
    | ~ spl69_12
    | ~ spl69_2 ),
    inference(avatar_split_clause,[],[f1185,f649,f1191,f1187]) ).

fof(f1185,plain,
    ( ~ neq(nil,sK19)
    | ~ strictorderedP(sK19)
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f1181,f376]) ).

fof(f1181,plain,
    ( ~ neq(nil,sK19)
    | ~ strictorderedP(sK19)
    | ~ ssList(sK19)
    | ~ spl69_2 ),
    inference(duplicate_literal_removal,[],[f1179]) ).

fof(f1179,plain,
    ( ~ neq(nil,sK19)
    | ~ strictorderedP(sK19)
    | ~ ssList(sK19)
    | ~ ssList(sK19)
    | ~ spl69_2 ),
    inference(resolution,[],[f1129,f452]) ).

fof(f1103,plain,
    ( spl69_1
    | spl69_5 ),
    inference(avatar_contradiction_clause,[],[f1102]) ).

fof(f1102,plain,
    ( $false
    | spl69_1
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1101,f376]) ).

fof(f1101,plain,
    ( ~ ssList(sK19)
    | spl69_1
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1100,f394]) ).

fof(f1100,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_1
    | spl69_5 ),
    inference(subsumption_resolution,[],[f1091,f647]) ).

fof(f1091,plain,
    ( nil = sK19
    | ~ ssList(nil)
    | ~ ssList(sK19)
    | spl69_5 ),
    inference(resolution,[],[f574,f776]) ).

fof(f776,plain,
    ( ~ neq(sK19,nil)
    | spl69_5 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f774,plain,
    ( spl69_5
  <=> neq(sK19,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).

fof(f1099,plain,
    ( spl69_2
    | spl69_3 ),
    inference(avatar_contradiction_clause,[],[f1098]) ).

fof(f1098,plain,
    ( $false
    | spl69_2
    | spl69_3 ),
    inference(subsumption_resolution,[],[f1097,f375]) ).

fof(f1097,plain,
    ( ~ ssList(sK18)
    | spl69_2
    | spl69_3 ),
    inference(subsumption_resolution,[],[f1096,f394]) ).

fof(f1096,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK18)
    | spl69_2
    | spl69_3 ),
    inference(subsumption_resolution,[],[f1090,f651]) ).

fof(f651,plain,
    ( nil != sK18
    | spl69_2 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f1090,plain,
    ( nil = sK18
    | ~ ssList(nil)
    | ~ ssList(sK18)
    | spl69_3 ),
    inference(resolution,[],[f574,f764]) ).

fof(f764,plain,
    ( ~ neq(sK18,nil)
    | spl69_3 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f762,plain,
    ( spl69_3
  <=> neq(sK18,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).

fof(f830,plain,
    ( ~ spl69_9
    | ~ spl69_10
    | spl69_2
    | spl69_3 ),
    inference(avatar_split_clause,[],[f820,f762,f649,f827,f823]) ).

fof(f823,plain,
    ( spl69_9
  <=> ssItem(sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_9])]) ).

fof(f827,plain,
    ( spl69_10
  <=> ssItem(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_10])]) ).

fof(f820,plain,
    ( ~ ssItem(nil)
    | ~ ssItem(sK18)
    | spl69_2
    | spl69_3 ),
    inference(subsumption_resolution,[],[f814,f651]) ).

fof(f814,plain,
    ( nil = sK18
    | ~ ssItem(nil)
    | ~ ssItem(sK18)
    | spl69_3 ),
    inference(resolution,[],[f412,f764]) ).

fof(f793,plain,
    spl69_8,
    inference(avatar_contradiction_clause,[],[f792]) ).

fof(f792,plain,
    ( $false
    | spl69_8 ),
    inference(subsumption_resolution,[],[f791,f375]) ).

fof(f791,plain,
    ( ~ ssList(sK18)
    | spl69_8 ),
    inference(resolution,[],[f789,f453]) ).

fof(f789,plain,
    ( ~ frontsegP(sK18,nil)
    | spl69_8 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f787,plain,
    ( spl69_8
  <=> frontsegP(sK18,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_8])]) ).

fof(f790,plain,
    ( ~ spl69_7
    | ~ spl69_8 ),
    inference(avatar_split_clause,[],[f760,f787,f783]) ).

fof(f783,plain,
    ( spl69_7
  <=> neq(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_7])]) ).

fof(f781,plain,
    ( ~ spl69_5
    | ~ spl69_6 ),
    inference(avatar_split_clause,[],[f758,f778,f774]) ).

fof(f772,plain,
    spl69_4,
    inference(avatar_contradiction_clause,[],[f771]) ).

fof(f771,plain,
    ( $false
    | spl69_4 ),
    inference(subsumption_resolution,[],[f770,f375]) ).

fof(f770,plain,
    ( ~ ssList(sK18)
    | spl69_4 ),
    inference(resolution,[],[f768,f452]) ).

fof(f768,plain,
    ( ~ frontsegP(sK18,sK18)
    | spl69_4 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f769,plain,
    ( ~ spl69_3
    | ~ spl69_4 ),
    inference(avatar_split_clause,[],[f757,f766,f762]) ).

fof(f652,plain,
    ( ~ spl69_1
    | ~ spl69_2 ),
    inference(avatar_split_clause,[],[f385,f649,f645]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC021+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:22:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (28874)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (28881)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (28877)WARNING: value z3 for option sas not known
% 0.14/0.37  % (28875)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (28876)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (28877)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (28878)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (28879)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37  % (28880)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.20/0.40  TRYING [3]
% 0.20/0.40  TRYING [3]
% 0.20/0.45  TRYING [4]
% 0.20/0.46  TRYING [4]
% 0.20/0.55  TRYING [5]
% 0.20/0.56  TRYING [5]
% 2.55/0.74  TRYING [6]
% 3.04/0.79  TRYING [6]
% 5.12/1.17  TRYING [7]
% 6.28/1.28  TRYING [7]
% 7.86/1.48  TRYING [1]
% 7.86/1.48  TRYING [2]
% 7.86/1.48  TRYING [3]
% 8.13/1.51  TRYING [4]
% 8.36/1.60  TRYING [5]
% 9.04/1.64  % (28877)First to succeed.
% 9.04/1.67  % (28877)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28874"
% 9.04/1.67  % (28877)Refutation found. Thanks to Tanya!
% 9.04/1.67  % SZS status Theorem for theBenchmark
% 9.04/1.67  % SZS output start Proof for theBenchmark
% See solution above
% 9.04/1.69  % (28877)------------------------------
% 9.04/1.69  % (28877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 9.04/1.69  % (28877)Termination reason: Refutation
% 9.04/1.69  
% 9.04/1.69  % (28877)Memory used [KB]: 14842
% 9.04/1.69  % (28877)Time elapsed: 1.299 s
% 9.04/1.69  % (28877)Instructions burned: 4512 (million)
% 9.04/1.69  % (28874)Success in time 1.307 s
%------------------------------------------------------------------------------