TSTP Solution File: SWC343+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC343+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n009.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 : Wed Aug 31 18:40:35 EDT 2022

% Result   : Theorem 1.57s 0.56s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  115 (   7 unt;   0 def)
%            Number of atoms       :  866 ( 296 equ)
%            Maximal formula atoms :   60 (   7 avg)
%            Number of connectives : 1205 ( 454   ~; 450   |; 264   &)
%                                         (  10 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  11 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :  254 ( 144   !; 110   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f360,plain,
    $false,
    inference(avatar_sat_refutation,[],[f291,f295,f303,f307,f311,f315,f316,f320,f321,f322,f323,f324,f325,f326,f327,f328,f359]) ).

fof(f359,plain,
    ( ~ spl19_2
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(avatar_contradiction_clause,[],[f358]) ).

fof(f358,plain,
    ( $false
    | ~ spl19_2
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f357,f343]) ).

fof(f343,plain,
    ( lt(sK13(sK15),sK11(sK15))
    | ~ spl19_9 ),
    inference(subsumption_resolution,[],[f342,f217]) ).

fof(f217,plain,
    ssList(sK15),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ( ssList(sK7)
    & ssList(sK9)
    & ssList(sK10)
    & ( nil = sK10
      | nil != sK9 )
    & ( ! [X4] :
          ( app(sK7,X4) != sK8
          | ~ strictorderedP(sK7)
          | ~ ssList(X4)
          | ( ssList(sK12(X4))
            & app(cons(sK11(X4),nil),sK12(X4)) = X4
            & ssList(sK14(X4))
            & sK7 = app(sK14(X4),cons(sK13(X4),nil))
            & lt(sK13(X4),sK11(X4))
            & ssItem(sK13(X4))
            & ssItem(sK11(X4)) ) )
      | ( nil = sK7
        & nil != sK8 ) )
    & app(sK9,sK15) = sK10
    & strictorderedP(sK9)
    & ! [X10] :
        ( ~ ssItem(X10)
        | ! [X11] :
            ( ! [X12] :
                ( ! [X13] :
                    ( ~ lt(X12,X10)
                    | ~ ssList(X13)
                    | app(X13,cons(X12,nil)) != sK9 )
                | ~ ssItem(X12) )
            | ~ ssList(X11)
            | app(cons(X10,nil),X11) != sK15 ) )
    & ssList(sK15)
    & sK8 = sK10
    & sK7 = sK9
    & ssList(sK8) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15])],[f159,f168,f167,f166,f165,f164,f163,f162,f161,f160]) ).

fof(f160,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & ( nil = X3
                      | nil != X2 )
                    & ( ! [X4] :
                          ( app(X0,X4) != X1
                          | ~ strictorderedP(X0)
                          | ~ ssList(X4)
                          | ? [X5] :
                              ( ? [X6] :
                                  ( ssList(X6)
                                  & app(cons(X5,nil),X6) = X4
                                  & ? [X7] :
                                      ( ? [X8] :
                                          ( ssList(X8)
                                          & app(X8,cons(X7,nil)) = X0
                                          & lt(X7,X5) )
                                      & ssItem(X7) ) )
                              & ssItem(X5) ) )
                      | ( nil = X0
                        & nil != X1 ) )
                    & ? [X9] :
                        ( app(X2,X9) = X3
                        & strictorderedP(X2)
                        & ! [X10] :
                            ( ~ ssItem(X10)
                            | ! [X11] :
                                ( ! [X12] :
                                    ( ! [X13] :
                                        ( ~ lt(X12,X10)
                                        | ~ ssList(X13)
                                        | app(X13,cons(X12,nil)) != X2 )
                                    | ~ ssItem(X12) )
                                | ~ ssList(X11)
                                | app(cons(X10,nil),X11) != X9 ) )
                        & ssList(X9) )
                    & X1 = X3
                    & X0 = X2 ) )
            & ssList(X1) ) )
   => ( ssList(sK7)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( nil = X3
                    | nil != X2 )
                  & ( ! [X4] :
                        ( app(sK7,X4) != X1
                        | ~ strictorderedP(sK7)
                        | ~ ssList(X4)
                        | ? [X5] :
                            ( ? [X6] :
                                ( ssList(X6)
                                & app(cons(X5,nil),X6) = X4
                                & ? [X7] :
                                    ( ? [X8] :
                                        ( ssList(X8)
                                        & app(X8,cons(X7,nil)) = sK7
                                        & lt(X7,X5) )
                                    & ssItem(X7) ) )
                            & ssItem(X5) ) )
                    | ( nil = sK7
                      & nil != X1 ) )
                  & ? [X9] :
                      ( app(X2,X9) = X3
                      & strictorderedP(X2)
                      & ! [X10] :
                          ( ~ ssItem(X10)
                          | ! [X11] :
                              ( ! [X12] :
                                  ( ! [X13] :
                                      ( ~ lt(X12,X10)
                                      | ~ ssList(X13)
                                      | app(X13,cons(X12,nil)) != X2 )
                                  | ~ ssItem(X12) )
                              | ~ ssList(X11)
                              | app(cons(X10,nil),X11) != X9 ) )
                      & ssList(X9) )
                  & X1 = X3
                  & sK7 = X2 ) )
          & ssList(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ssList(X3)
                & ( nil = X3
                  | nil != X2 )
                & ( ! [X4] :
                      ( app(sK7,X4) != X1
                      | ~ strictorderedP(sK7)
                      | ~ ssList(X4)
                      | ? [X5] :
                          ( ? [X6] :
                              ( ssList(X6)
                              & app(cons(X5,nil),X6) = X4
                              & ? [X7] :
                                  ( ? [X8] :
                                      ( ssList(X8)
                                      & app(X8,cons(X7,nil)) = sK7
                                      & lt(X7,X5) )
                                  & ssItem(X7) ) )
                          & ssItem(X5) ) )
                  | ( nil = sK7
                    & nil != X1 ) )
                & ? [X9] :
                    ( app(X2,X9) = X3
                    & strictorderedP(X2)
                    & ! [X10] :
                        ( ~ ssItem(X10)
                        | ! [X11] :
                            ( ! [X12] :
                                ( ! [X13] :
                                    ( ~ lt(X12,X10)
                                    | ~ ssList(X13)
                                    | app(X13,cons(X12,nil)) != X2 )
                                | ~ ssItem(X12) )
                            | ~ ssList(X11)
                            | app(cons(X10,nil),X11) != X9 ) )
                    & ssList(X9) )
                & X1 = X3
                & sK7 = X2 ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & ( nil = X3
                | nil != X2 )
              & ( ! [X4] :
                    ( app(sK7,X4) != sK8
                    | ~ strictorderedP(sK7)
                    | ~ ssList(X4)
                    | ? [X5] :
                        ( ? [X6] :
                            ( ssList(X6)
                            & app(cons(X5,nil),X6) = X4
                            & ? [X7] :
                                ( ? [X8] :
                                    ( ssList(X8)
                                    & app(X8,cons(X7,nil)) = sK7
                                    & lt(X7,X5) )
                                & ssItem(X7) ) )
                        & ssItem(X5) ) )
                | ( nil = sK7
                  & nil != sK8 ) )
              & ? [X9] :
                  ( app(X2,X9) = X3
                  & strictorderedP(X2)
                  & ! [X10] :
                      ( ~ ssItem(X10)
                      | ! [X11] :
                          ( ! [X12] :
                              ( ! [X13] :
                                  ( ~ lt(X12,X10)
                                  | ~ ssList(X13)
                                  | app(X13,cons(X12,nil)) != X2 )
                              | ~ ssItem(X12) )
                          | ~ ssList(X11)
                          | app(cons(X10,nil),X11) != X9 ) )
                  & ssList(X9) )
              & sK8 = X3
              & sK7 = X2 ) )
      & ssList(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f162,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ssList(X3)
            & ( nil = X3
              | nil != X2 )
            & ( ! [X4] :
                  ( app(sK7,X4) != sK8
                  | ~ strictorderedP(sK7)
                  | ~ ssList(X4)
                  | ? [X5] :
                      ( ? [X6] :
                          ( ssList(X6)
                          & app(cons(X5,nil),X6) = X4
                          & ? [X7] :
                              ( ? [X8] :
                                  ( ssList(X8)
                                  & app(X8,cons(X7,nil)) = sK7
                                  & lt(X7,X5) )
                              & ssItem(X7) ) )
                      & ssItem(X5) ) )
              | ( nil = sK7
                & nil != sK8 ) )
            & ? [X9] :
                ( app(X2,X9) = X3
                & strictorderedP(X2)
                & ! [X10] :
                    ( ~ ssItem(X10)
                    | ! [X11] :
                        ( ! [X12] :
                            ( ! [X13] :
                                ( ~ lt(X12,X10)
                                | ~ ssList(X13)
                                | app(X13,cons(X12,nil)) != X2 )
                            | ~ ssItem(X12) )
                        | ~ ssList(X11)
                        | app(cons(X10,nil),X11) != X9 ) )
                & ssList(X9) )
            & sK8 = X3
            & sK7 = X2 ) )
   => ( ssList(sK9)
      & ? [X3] :
          ( ssList(X3)
          & ( nil = X3
            | nil != sK9 )
          & ( ! [X4] :
                ( app(sK7,X4) != sK8
                | ~ strictorderedP(sK7)
                | ~ ssList(X4)
                | ? [X5] :
                    ( ? [X6] :
                        ( ssList(X6)
                        & app(cons(X5,nil),X6) = X4
                        & ? [X7] :
                            ( ? [X8] :
                                ( ssList(X8)
                                & app(X8,cons(X7,nil)) = sK7
                                & lt(X7,X5) )
                            & ssItem(X7) ) )
                    & ssItem(X5) ) )
            | ( nil = sK7
              & nil != sK8 ) )
          & ? [X9] :
              ( app(sK9,X9) = X3
              & strictorderedP(sK9)
              & ! [X10] :
                  ( ~ ssItem(X10)
                  | ! [X11] :
                      ( ! [X12] :
                          ( ! [X13] :
                              ( ~ lt(X12,X10)
                              | ~ ssList(X13)
                              | app(X13,cons(X12,nil)) != sK9 )
                          | ~ ssItem(X12) )
                      | ~ ssList(X11)
                      | app(cons(X10,nil),X11) != X9 ) )
              & ssList(X9) )
          & sK8 = X3
          & sK7 = sK9 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f163,plain,
    ( ? [X3] :
        ( ssList(X3)
        & ( nil = X3
          | nil != sK9 )
        & ( ! [X4] :
              ( app(sK7,X4) != sK8
              | ~ strictorderedP(sK7)
              | ~ ssList(X4)
              | ? [X5] :
                  ( ? [X6] :
                      ( ssList(X6)
                      & app(cons(X5,nil),X6) = X4
                      & ? [X7] :
                          ( ? [X8] :
                              ( ssList(X8)
                              & app(X8,cons(X7,nil)) = sK7
                              & lt(X7,X5) )
                          & ssItem(X7) ) )
                  & ssItem(X5) ) )
          | ( nil = sK7
            & nil != sK8 ) )
        & ? [X9] :
            ( app(sK9,X9) = X3
            & strictorderedP(sK9)
            & ! [X10] :
                ( ~ ssItem(X10)
                | ! [X11] :
                    ( ! [X12] :
                        ( ! [X13] :
                            ( ~ lt(X12,X10)
                            | ~ ssList(X13)
                            | app(X13,cons(X12,nil)) != sK9 )
                        | ~ ssItem(X12) )
                    | ~ ssList(X11)
                    | app(cons(X10,nil),X11) != X9 ) )
            & ssList(X9) )
        & sK8 = X3
        & sK7 = sK9 )
   => ( ssList(sK10)
      & ( nil = sK10
        | nil != sK9 )
      & ( ! [X4] :
            ( app(sK7,X4) != sK8
            | ~ strictorderedP(sK7)
            | ~ ssList(X4)
            | ? [X5] :
                ( ? [X6] :
                    ( ssList(X6)
                    & app(cons(X5,nil),X6) = X4
                    & ? [X7] :
                        ( ? [X8] :
                            ( ssList(X8)
                            & app(X8,cons(X7,nil)) = sK7
                            & lt(X7,X5) )
                        & ssItem(X7) ) )
                & ssItem(X5) ) )
        | ( nil = sK7
          & nil != sK8 ) )
      & ? [X9] :
          ( sK10 = app(sK9,X9)
          & strictorderedP(sK9)
          & ! [X10] :
              ( ~ ssItem(X10)
              | ! [X11] :
                  ( ! [X12] :
                      ( ! [X13] :
                          ( ~ lt(X12,X10)
                          | ~ ssList(X13)
                          | app(X13,cons(X12,nil)) != sK9 )
                      | ~ ssItem(X12) )
                  | ~ ssList(X11)
                  | app(cons(X10,nil),X11) != X9 ) )
          & ssList(X9) )
      & sK8 = sK10
      & sK7 = sK9 ) ),
    introduced(choice_axiom,[]) ).

fof(f164,plain,
    ! [X4] :
      ( ? [X5] :
          ( ? [X6] :
              ( ssList(X6)
              & app(cons(X5,nil),X6) = X4
              & ? [X7] :
                  ( ? [X8] :
                      ( ssList(X8)
                      & app(X8,cons(X7,nil)) = sK7
                      & lt(X7,X5) )
                  & ssItem(X7) ) )
          & ssItem(X5) )
     => ( ? [X6] :
            ( ssList(X6)
            & app(cons(sK11(X4),nil),X6) = X4
            & ? [X7] :
                ( ? [X8] :
                    ( ssList(X8)
                    & app(X8,cons(X7,nil)) = sK7
                    & lt(X7,sK11(X4)) )
                & ssItem(X7) ) )
        & ssItem(sK11(X4)) ) ),
    introduced(choice_axiom,[]) ).

fof(f165,plain,
    ! [X4] :
      ( ? [X6] :
          ( ssList(X6)
          & app(cons(sK11(X4),nil),X6) = X4
          & ? [X7] :
              ( ? [X8] :
                  ( ssList(X8)
                  & app(X8,cons(X7,nil)) = sK7
                  & lt(X7,sK11(X4)) )
              & ssItem(X7) ) )
     => ( ssList(sK12(X4))
        & app(cons(sK11(X4),nil),sK12(X4)) = X4
        & ? [X7] :
            ( ? [X8] :
                ( ssList(X8)
                & app(X8,cons(X7,nil)) = sK7
                & lt(X7,sK11(X4)) )
            & ssItem(X7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f166,plain,
    ! [X4] :
      ( ? [X7] :
          ( ? [X8] :
              ( ssList(X8)
              & app(X8,cons(X7,nil)) = sK7
              & lt(X7,sK11(X4)) )
          & ssItem(X7) )
     => ( ? [X8] :
            ( ssList(X8)
            & sK7 = app(X8,cons(sK13(X4),nil))
            & lt(sK13(X4),sK11(X4)) )
        & ssItem(sK13(X4)) ) ),
    introduced(choice_axiom,[]) ).

fof(f167,plain,
    ! [X4] :
      ( ? [X8] :
          ( ssList(X8)
          & sK7 = app(X8,cons(sK13(X4),nil))
          & lt(sK13(X4),sK11(X4)) )
     => ( ssList(sK14(X4))
        & sK7 = app(sK14(X4),cons(sK13(X4),nil))
        & lt(sK13(X4),sK11(X4)) ) ),
    introduced(choice_axiom,[]) ).

fof(f168,plain,
    ( ? [X9] :
        ( sK10 = app(sK9,X9)
        & strictorderedP(sK9)
        & ! [X10] :
            ( ~ ssItem(X10)
            | ! [X11] :
                ( ! [X12] :
                    ( ! [X13] :
                        ( ~ lt(X12,X10)
                        | ~ ssList(X13)
                        | app(X13,cons(X12,nil)) != sK9 )
                    | ~ ssItem(X12) )
                | ~ ssList(X11)
                | app(cons(X10,nil),X11) != X9 ) )
        & ssList(X9) )
   => ( app(sK9,sK15) = sK10
      & strictorderedP(sK9)
      & ! [X10] :
          ( ~ ssItem(X10)
          | ! [X11] :
              ( ! [X12] :
                  ( ! [X13] :
                      ( ~ lt(X12,X10)
                      | ~ ssList(X13)
                      | app(X13,cons(X12,nil)) != sK9 )
                  | ~ ssItem(X12) )
              | ~ ssList(X11)
              | app(cons(X10,nil),X11) != sK15 ) )
      & ssList(sK15) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( nil = X3
                    | nil != X2 )
                  & ( ! [X4] :
                        ( app(X0,X4) != X1
                        | ~ strictorderedP(X0)
                        | ~ ssList(X4)
                        | ? [X5] :
                            ( ? [X6] :
                                ( ssList(X6)
                                & app(cons(X5,nil),X6) = X4
                                & ? [X7] :
                                    ( ? [X8] :
                                        ( ssList(X8)
                                        & app(X8,cons(X7,nil)) = X0
                                        & lt(X7,X5) )
                                    & ssItem(X7) ) )
                            & ssItem(X5) ) )
                    | ( nil = X0
                      & nil != X1 ) )
                  & ? [X9] :
                      ( app(X2,X9) = X3
                      & strictorderedP(X2)
                      & ! [X10] :
                          ( ~ ssItem(X10)
                          | ! [X11] :
                              ( ! [X12] :
                                  ( ! [X13] :
                                      ( ~ lt(X12,X10)
                                      | ~ ssList(X13)
                                      | app(X13,cons(X12,nil)) != X2 )
                                  | ~ ssItem(X12) )
                              | ~ ssList(X11)
                              | app(cons(X10,nil),X11) != X9 ) )
                      & ssList(X9) )
                  & X1 = X3
                  & X0 = X2 ) )
          & ssList(X1) ) ),
    inference(rectify,[],[f117]) ).

fof(f117,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( nil = X3
                    | nil != X2 )
                  & ( ! [X9] :
                        ( app(X0,X9) != X1
                        | ~ strictorderedP(X0)
                        | ~ ssList(X9)
                        | ? [X10] :
                            ( ? [X11] :
                                ( ssList(X11)
                                & app(cons(X10,nil),X11) = X9
                                & ? [X12] :
                                    ( ? [X13] :
                                        ( ssList(X13)
                                        & app(X13,cons(X12,nil)) = X0
                                        & lt(X12,X10) )
                                    & ssItem(X12) ) )
                            & ssItem(X10) ) )
                    | ( nil = X0
                      & nil != X1 ) )
                  & ? [X4] :
                      ( app(X2,X4) = X3
                      & strictorderedP(X2)
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ lt(X7,X5)
                                      | ~ ssList(X8)
                                      | app(X8,cons(X7,nil)) != X2 )
                                  | ~ ssItem(X7) )
                              | ~ ssList(X6)
                              | app(cons(X5,nil),X6) != X4 ) )
                      & ssList(X4) )
                  & X1 = X3
                  & X0 = X2 ) )
          & ssList(X1) ) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & X1 = X3
                  & ? [X4] :
                      ( ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ lt(X7,X5)
                                      | ~ ssList(X8)
                                      | app(X8,cons(X7,nil)) != X2 )
                                  | ~ ssItem(X7) )
                              | ~ ssList(X6)
                              | app(cons(X5,nil),X6) != X4 ) )
                      & strictorderedP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & ( ! [X9] :
                        ( app(X0,X9) != X1
                        | ? [X10] :
                            ( ? [X11] :
                                ( ? [X12] :
                                    ( ? [X13] :
                                        ( lt(X12,X10)
                                        & app(X13,cons(X12,nil)) = X0
                                        & ssList(X13) )
                                    & ssItem(X12) )
                                & app(cons(X10,nil),X11) = X9
                                & ssList(X11) )
                            & ssItem(X10) )
                        | ~ strictorderedP(X0)
                        | ~ ssList(X9) )
                    | ( nil = X0
                      & nil != X1 ) )
                  & ( nil = X3
                    | nil != X2 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X0 != X2
                      | X1 != X3
                      | ! [X4] :
                          ( ssList(X4)
                         => ( ? [X5] :
                                ( ? [X6] :
                                    ( ? [X7] :
                                        ( ssItem(X7)
                                        & ? [X8] :
                                            ( app(X8,cons(X7,nil)) = X2
                                            & lt(X7,X5)
                                            & ssList(X8) ) )
                                    & ssList(X6)
                                    & app(cons(X5,nil),X6) = X4 )
                                & ssItem(X5) )
                            | ~ strictorderedP(X2)
                            | app(X2,X4) != X3 ) )
                      | ( ? [X9] :
                            ( app(X0,X9) = X1
                            & ! [X10] :
                                ( ssItem(X10)
                               => ! [X11] :
                                    ( ssList(X11)
                                   => ( ! [X12] :
                                          ( ssItem(X12)
                                         => ! [X13] :
                                              ( ssList(X13)
                                             => ( ~ lt(X12,X10)
                                                | app(X13,cons(X12,nil)) != X0 ) ) )
                                      | app(cons(X10,nil),X11) != X9 ) ) )
                            & strictorderedP(X0)
                            & ssList(X9) )
                        & ( nil != X0
                          | nil = X1 ) )
                      | ( nil != X3
                        & nil = X2 ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X0 != X2
                    | X1 != X3
                    | ! [X4] :
                        ( ssList(X4)
                       => ( ? [X5] :
                              ( ? [X6] :
                                  ( ? [X7] :
                                      ( ssItem(X7)
                                      & ? [X8] :
                                          ( app(X8,cons(X7,nil)) = X2
                                          & lt(X7,X5)
                                          & ssList(X8) ) )
                                  & ssList(X6)
                                  & app(cons(X5,nil),X6) = X4 )
                              & ssItem(X5) )
                          | ~ strictorderedP(X2)
                          | app(X2,X4) != X3 ) )
                    | ( ? [X9] :
                          ( app(X0,X9) = X1
                          & ! [X10] :
                              ( ssItem(X10)
                             => ! [X11] :
                                  ( ssList(X11)
                                 => ( ! [X12] :
                                        ( ssItem(X12)
                                       => ! [X13] :
                                            ( ssList(X13)
                                           => ( ~ lt(X12,X10)
                                              | app(X13,cons(X12,nil)) != X0 ) ) )
                                    | app(cons(X10,nil),X11) != X9 ) ) )
                          & strictorderedP(X0)
                          & ssList(X9) )
                      & ( nil != X0
                        | nil = X1 ) )
                    | ( nil != X3
                      & nil = X2 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f342,plain,
    ( ~ ssList(sK15)
    | lt(sK13(sK15),sK11(sK15))
    | ~ spl19_9 ),
    inference(trivial_inequality_removal,[],[f341]) ).

fof(f341,plain,
    ( sK10 != sK10
    | ~ ssList(sK15)
    | lt(sK13(sK15),sK11(sK15))
    | ~ spl19_9 ),
    inference(superposition,[],[f314,f220]) ).

fof(f220,plain,
    app(sK9,sK15) = sK10,
    inference(cnf_transformation,[],[f169]) ).

fof(f314,plain,
    ( ! [X4] :
        ( app(sK9,X4) != sK10
        | lt(sK13(X4),sK11(X4))
        | ~ ssList(X4) )
    | ~ spl19_9 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f313,plain,
    ( spl19_9
  <=> ! [X4] :
        ( lt(sK13(X4),sK11(X4))
        | ~ ssList(X4)
        | app(sK9,X4) != sK10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).

fof(f357,plain,
    ( ~ lt(sK13(sK15),sK11(sK15))
    | ~ spl19_2
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f356,f331]) ).

fof(f331,plain,
    ( ssItem(sK13(sK15))
    | ~ spl19_2 ),
    inference(subsumption_resolution,[],[f330,f217]) ).

fof(f330,plain,
    ( ssItem(sK13(sK15))
    | ~ ssList(sK15)
    | ~ spl19_2 ),
    inference(trivial_inequality_removal,[],[f329]) ).

fof(f329,plain,
    ( ssItem(sK13(sK15))
    | ~ ssList(sK15)
    | sK10 != sK10
    | ~ spl19_2 ),
    inference(superposition,[],[f286,f220]) ).

fof(f286,plain,
    ( ! [X4] :
        ( app(sK9,X4) != sK10
        | ssItem(sK13(X4))
        | ~ ssList(X4) )
    | ~ spl19_2 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f285,plain,
    ( spl19_2
  <=> ! [X4] :
        ( ~ ssList(X4)
        | ssItem(sK13(X4))
        | app(sK9,X4) != sK10 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).

fof(f356,plain,
    ( ~ ssItem(sK13(sK15))
    | ~ lt(sK13(sK15),sK11(sK15))
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f355,f337]) ).

fof(f337,plain,
    ( ssList(sK14(sK15))
    | ~ spl19_7 ),
    inference(subsumption_resolution,[],[f336,f217]) ).

fof(f336,plain,
    ( ~ ssList(sK15)
    | ssList(sK14(sK15))
    | ~ spl19_7 ),
    inference(trivial_inequality_removal,[],[f335]) ).

fof(f335,plain,
    ( sK10 != sK10
    | ssList(sK14(sK15))
    | ~ ssList(sK15)
    | ~ spl19_7 ),
    inference(superposition,[],[f306,f220]) ).

fof(f306,plain,
    ( ! [X4] :
        ( app(sK9,X4) != sK10
        | ssList(sK14(X4))
        | ~ ssList(X4) )
    | ~ spl19_7 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f305,plain,
    ( spl19_7
  <=> ! [X4] :
        ( ~ ssList(X4)
        | app(sK9,X4) != sK10
        | ssList(sK14(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).

fof(f355,plain,
    ( ~ ssList(sK14(sK15))
    | ~ lt(sK13(sK15),sK11(sK15))
    | ~ ssItem(sK13(sK15))
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_8
    | ~ spl19_10 ),
    inference(trivial_inequality_removal,[],[f354]) ).

fof(f354,plain,
    ( sK9 != sK9
    | ~ lt(sK13(sK15),sK11(sK15))
    | ~ ssItem(sK13(sK15))
    | ~ ssList(sK14(sK15))
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_8
    | ~ spl19_10 ),
    inference(superposition,[],[f353,f346]) ).

fof(f346,plain,
    ( app(sK14(sK15),cons(sK13(sK15),nil)) = sK9
    | ~ spl19_4 ),
    inference(subsumption_resolution,[],[f345,f217]) ).

fof(f345,plain,
    ( app(sK14(sK15),cons(sK13(sK15),nil)) = sK9
    | ~ ssList(sK15)
    | ~ spl19_4 ),
    inference(trivial_inequality_removal,[],[f344]) ).

fof(f344,plain,
    ( sK10 != sK10
    | app(sK14(sK15),cons(sK13(sK15),nil)) = sK9
    | ~ ssList(sK15)
    | ~ spl19_4 ),
    inference(superposition,[],[f294,f220]) ).

fof(f294,plain,
    ( ! [X4] :
        ( app(sK9,X4) != sK10
        | ~ ssList(X4)
        | app(sK14(X4),cons(sK13(X4),nil)) = sK9 )
    | ~ spl19_4 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl19_4
  <=> ! [X4] :
        ( app(sK9,X4) != sK10
        | ~ ssList(X4)
        | app(sK14(X4),cons(sK13(X4),nil)) = sK9 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).

fof(f353,plain,
    ( ! [X0,X1] :
        ( app(X1,cons(X0,nil)) != sK9
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ lt(X0,sK11(sK15)) )
    | ~ spl19_5
    | ~ spl19_8
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f352,f340]) ).

fof(f340,plain,
    ( ssItem(sK11(sK15))
    | ~ spl19_8 ),
    inference(subsumption_resolution,[],[f339,f217]) ).

fof(f339,plain,
    ( ~ ssList(sK15)
    | ssItem(sK11(sK15))
    | ~ spl19_8 ),
    inference(trivial_inequality_removal,[],[f338]) ).

fof(f338,plain,
    ( ssItem(sK11(sK15))
    | ~ ssList(sK15)
    | sK10 != sK10
    | ~ spl19_8 ),
    inference(superposition,[],[f310,f220]) ).

fof(f310,plain,
    ( ! [X4] :
        ( app(sK9,X4) != sK10
        | ssItem(sK11(X4))
        | ~ ssList(X4) )
    | ~ spl19_8 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f309,plain,
    ( spl19_8
  <=> ! [X4] :
        ( app(sK9,X4) != sK10
        | ~ ssList(X4)
        | ssItem(sK11(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).

fof(f352,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | ~ ssItem(X0)
        | ~ ssItem(sK11(sK15))
        | ~ lt(X0,sK11(sK15))
        | app(X1,cons(X0,nil)) != sK9 )
    | ~ spl19_5
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f351,f334]) ).

fof(f334,plain,
    ( ssList(sK12(sK15))
    | ~ spl19_5 ),
    inference(subsumption_resolution,[],[f333,f217]) ).

fof(f333,plain,
    ( ~ ssList(sK15)
    | ssList(sK12(sK15))
    | ~ spl19_5 ),
    inference(trivial_inequality_removal,[],[f332]) ).

fof(f332,plain,
    ( ~ ssList(sK15)
    | ssList(sK12(sK15))
    | sK10 != sK10
    | ~ spl19_5 ),
    inference(superposition,[],[f298,f220]) ).

fof(f298,plain,
    ( ! [X4] :
        ( app(sK9,X4) != sK10
        | ~ ssList(X4)
        | ssList(sK12(X4)) )
    | ~ spl19_5 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl19_5
  <=> ! [X4] :
        ( ssList(sK12(X4))
        | app(sK9,X4) != sK10
        | ~ ssList(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).

fof(f351,plain,
    ( ! [X0,X1] :
        ( ~ ssList(sK12(sK15))
        | ~ ssList(X1)
        | ~ ssItem(sK11(sK15))
        | app(X1,cons(X0,nil)) != sK9
        | ~ lt(X0,sK11(sK15))
        | ~ ssItem(X0) )
    | ~ spl19_10 ),
    inference(trivial_inequality_removal,[],[f350]) ).

fof(f350,plain,
    ( ! [X0,X1] :
        ( ~ lt(X0,sK11(sK15))
        | sK15 != sK15
        | app(X1,cons(X0,nil)) != sK9
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | ~ ssList(sK12(sK15))
        | ~ ssItem(sK11(sK15)) )
    | ~ spl19_10 ),
    inference(superposition,[],[f218,f349]) ).

fof(f349,plain,
    ( app(cons(sK11(sK15),nil),sK12(sK15)) = sK15
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f348,f217]) ).

fof(f348,plain,
    ( app(cons(sK11(sK15),nil),sK12(sK15)) = sK15
    | ~ ssList(sK15)
    | ~ spl19_10 ),
    inference(trivial_inequality_removal,[],[f347]) ).

fof(f347,plain,
    ( sK10 != sK10
    | ~ ssList(sK15)
    | app(cons(sK11(sK15),nil),sK12(sK15)) = sK15
    | ~ spl19_10 ),
    inference(superposition,[],[f319,f220]) ).

fof(f319,plain,
    ( ! [X4] :
        ( app(sK9,X4) != sK10
        | app(cons(sK11(X4),nil),sK12(X4)) = X4
        | ~ ssList(X4) )
    | ~ spl19_10 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f318,plain,
    ( spl19_10
  <=> ! [X4] :
        ( app(cons(sK11(X4),nil),sK12(X4)) = X4
        | app(sK9,X4) != sK10
        | ~ ssList(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).

fof(f218,plain,
    ! [X10,X11,X12,X13] :
      ( app(cons(X10,nil),X11) != sK15
      | ~ ssItem(X12)
      | ~ ssList(X13)
      | ~ ssList(X11)
      | app(X13,cons(X12,nil)) != sK9
      | ~ ssItem(X10)
      | ~ lt(X12,X10) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f328,plain,
    ( spl19_9
    | ~ spl19_3
    | ~ spl19_6 ),
    inference(avatar_split_clause,[],[f266,f300,f288,f313]) ).

fof(f288,plain,
    ( spl19_3
  <=> strictorderedP(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).

fof(f300,plain,
    ( spl19_6
  <=> nil = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).

fof(f266,plain,
    ! [X4] :
      ( nil != sK10
      | ~ strictorderedP(sK9)
      | ~ ssList(X4)
      | app(sK9,X4) != sK10
      | lt(sK13(X4),sK11(X4)) ),
    inference(definition_unfolding,[],[f225,f215,f216,f215,f216]) ).

fof(f216,plain,
    sK8 = sK10,
    inference(cnf_transformation,[],[f169]) ).

fof(f215,plain,
    sK7 = sK9,
    inference(cnf_transformation,[],[f169]) ).

fof(f225,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | lt(sK13(X4),sK11(X4))
      | nil != sK8 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f327,plain,
    ( ~ spl19_3
    | ~ spl19_6
    | spl19_4 ),
    inference(avatar_split_clause,[],[f264,f293,f300,f288]) ).

fof(f264,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | nil != sK10
      | app(sK14(X4),cons(sK13(X4),nil)) = sK9
      | app(sK9,X4) != sK10
      | ~ strictorderedP(sK9) ),
    inference(definition_unfolding,[],[f227,f215,f216,f215,f215,f216]) ).

fof(f227,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | sK7 = app(sK14(X4),cons(sK13(X4),nil))
      | nil != sK8 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f326,plain,
    ( spl19_1
    | ~ spl19_3
    | spl19_8 ),
    inference(avatar_split_clause,[],[f269,f309,f288,f281]) ).

fof(f281,plain,
    ( spl19_1
  <=> nil = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).

fof(f269,plain,
    ! [X4] :
      ( ssItem(sK11(X4))
      | app(sK9,X4) != sK10
      | ~ strictorderedP(sK9)
      | nil = sK9
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f222,f215,f216,f215,f215]) ).

fof(f222,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | ssItem(sK11(X4))
      | nil = sK7 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f325,plain,
    ( spl19_6
    | ~ spl19_1 ),
    inference(avatar_split_clause,[],[f235,f281,f300]) ).

fof(f235,plain,
    ( nil != sK9
    | nil = sK10 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f324,plain,
    ( ~ spl19_3
    | ~ spl19_6
    | spl19_2 ),
    inference(avatar_split_clause,[],[f268,f285,f300,f288]) ).

fof(f268,plain,
    ! [X4] :
      ( ssItem(sK13(X4))
      | nil != sK10
      | app(sK9,X4) != sK10
      | ~ strictorderedP(sK9)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f223,f215,f216,f215,f216]) ).

fof(f223,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | ssItem(sK13(X4))
      | nil != sK8 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f323,plain,
    ( ~ spl19_3
    | ~ spl19_6
    | spl19_10 ),
    inference(avatar_split_clause,[],[f260,f318,f300,f288]) ).

fof(f260,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | nil != sK10
      | app(cons(sK11(X4),nil),sK12(X4)) = X4
      | app(sK9,X4) != sK10
      | ~ strictorderedP(sK9) ),
    inference(definition_unfolding,[],[f231,f215,f216,f215,f216]) ).

fof(f231,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | app(cons(sK11(X4),nil),sK12(X4)) = X4
      | nil != sK8 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f322,plain,
    ( spl19_1
    | ~ spl19_3
    | spl19_5 ),
    inference(avatar_split_clause,[],[f257,f297,f288,f281]) ).

fof(f257,plain,
    ! [X4] :
      ( ssList(sK12(X4))
      | ~ strictorderedP(sK9)
      | ~ ssList(X4)
      | nil = sK9
      | app(sK9,X4) != sK10 ),
    inference(definition_unfolding,[],[f234,f215,f216,f215,f215]) ).

fof(f234,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | ssList(sK12(X4))
      | nil = sK7 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f321,plain,
    spl19_3,
    inference(avatar_split_clause,[],[f219,f288]) ).

fof(f219,plain,
    strictorderedP(sK9),
    inference(cnf_transformation,[],[f169]) ).

fof(f320,plain,
    ( ~ spl19_3
    | spl19_1
    | spl19_10 ),
    inference(avatar_split_clause,[],[f259,f318,f281,f288]) ).

fof(f259,plain,
    ! [X4] :
      ( app(cons(sK11(X4),nil),sK12(X4)) = X4
      | nil = sK9
      | ~ ssList(X4)
      | ~ strictorderedP(sK9)
      | app(sK9,X4) != sK10 ),
    inference(definition_unfolding,[],[f232,f215,f216,f215,f215]) ).

fof(f232,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | app(cons(sK11(X4),nil),sK12(X4)) = X4
      | nil = sK7 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f316,plain,
    ( ~ spl19_6
    | spl19_7
    | ~ spl19_3 ),
    inference(avatar_split_clause,[],[f262,f288,f305,f300]) ).

fof(f262,plain,
    ! [X4] :
      ( ~ strictorderedP(sK9)
      | app(sK9,X4) != sK10
      | nil != sK10
      | ~ ssList(X4)
      | ssList(sK14(X4)) ),
    inference(definition_unfolding,[],[f229,f215,f216,f215,f216]) ).

fof(f229,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | ssList(sK14(X4))
      | nil != sK8 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f315,plain,
    ( spl19_1
    | spl19_9
    | ~ spl19_3 ),
    inference(avatar_split_clause,[],[f265,f288,f313,f281]) ).

fof(f265,plain,
    ! [X4] :
      ( ~ strictorderedP(sK9)
      | lt(sK13(X4),sK11(X4))
      | app(sK9,X4) != sK10
      | nil = sK9
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f226,f215,f216,f215,f215]) ).

fof(f226,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | lt(sK13(X4),sK11(X4))
      | nil = sK7 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f311,plain,
    ( ~ spl19_3
    | ~ spl19_6
    | spl19_8 ),
    inference(avatar_split_clause,[],[f270,f309,f300,f288]) ).

fof(f270,plain,
    ! [X4] :
      ( app(sK9,X4) != sK10
      | ssItem(sK11(X4))
      | ~ ssList(X4)
      | nil != sK10
      | ~ strictorderedP(sK9) ),
    inference(definition_unfolding,[],[f221,f215,f216,f215,f216]) ).

fof(f221,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | ssItem(sK11(X4))
      | nil != sK8 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f307,plain,
    ( spl19_1
    | spl19_7
    | ~ spl19_3 ),
    inference(avatar_split_clause,[],[f261,f288,f305,f281]) ).

fof(f261,plain,
    ! [X4] :
      ( ~ strictorderedP(sK9)
      | ~ ssList(X4)
      | nil = sK9
      | ssList(sK14(X4))
      | app(sK9,X4) != sK10 ),
    inference(definition_unfolding,[],[f230,f215,f216,f215,f215]) ).

fof(f230,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | ssList(sK14(X4))
      | nil = sK7 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f303,plain,
    ( spl19_5
    | ~ spl19_3
    | ~ spl19_6 ),
    inference(avatar_split_clause,[],[f258,f300,f288,f297]) ).

fof(f258,plain,
    ! [X4] :
      ( nil != sK10
      | ~ strictorderedP(sK9)
      | ssList(sK12(X4))
      | ~ ssList(X4)
      | app(sK9,X4) != sK10 ),
    inference(definition_unfolding,[],[f233,f215,f216,f215,f216]) ).

fof(f233,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | ssList(sK12(X4))
      | nil != sK8 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f295,plain,
    ( spl19_4
    | spl19_1
    | ~ spl19_3 ),
    inference(avatar_split_clause,[],[f263,f288,f281,f293]) ).

fof(f263,plain,
    ! [X4] :
      ( ~ strictorderedP(sK9)
      | nil = sK9
      | app(sK9,X4) != sK10
      | app(sK14(X4),cons(sK13(X4),nil)) = sK9
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f228,f215,f216,f215,f215,f215]) ).

fof(f228,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | sK7 = app(sK14(X4),cons(sK13(X4),nil))
      | nil = sK7 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f291,plain,
    ( spl19_1
    | spl19_2
    | ~ spl19_3 ),
    inference(avatar_split_clause,[],[f267,f288,f285,f281]) ).

fof(f267,plain,
    ! [X4] :
      ( ~ strictorderedP(sK9)
      | ~ ssList(X4)
      | app(sK9,X4) != sK10
      | ssItem(sK13(X4))
      | nil = sK9 ),
    inference(definition_unfolding,[],[f224,f215,f216,f215,f215]) ).

fof(f224,plain,
    ! [X4] :
      ( app(sK7,X4) != sK8
      | ~ strictorderedP(sK7)
      | ~ ssList(X4)
      | ssItem(sK13(X4))
      | nil = sK7 ),
    inference(cnf_transformation,[],[f169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC343+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:46:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (18489)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (18497)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.52  % (18489)Instruction limit reached!
% 0.19/0.52  % (18489)------------------------------
% 0.19/0.52  % (18489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (18505)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (18489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (18489)Termination reason: Unknown
% 0.19/0.52  % (18489)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (18489)Memory used [KB]: 6140
% 0.19/0.52  % (18489)Time elapsed: 0.110 s
% 0.19/0.52  % (18489)Instructions burned: 8 (million)
% 0.19/0.52  % (18489)------------------------------
% 0.19/0.52  % (18489)------------------------------
% 0.19/0.52  % (18485)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (18484)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53  % (18507)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53  % (18482)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (18497)Instruction limit reached!
% 0.19/0.53  % (18497)------------------------------
% 0.19/0.53  % (18497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (18497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (18497)Termination reason: Unknown
% 0.19/0.53  % (18497)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (18497)Memory used [KB]: 6268
% 0.19/0.53  % (18497)Time elapsed: 0.126 s
% 0.19/0.53  % (18497)Instructions burned: 11 (million)
% 0.19/0.53  % (18497)------------------------------
% 0.19/0.53  % (18497)------------------------------
% 0.19/0.53  % (18481)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (18487)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53  % (18490)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53  % (18495)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (18492)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54  % (18482)First to succeed.
% 0.19/0.54  % (18492)Instruction limit reached!
% 0.19/0.54  % (18492)------------------------------
% 0.19/0.54  % (18492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (18492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (18492)Termination reason: Unknown
% 0.19/0.54  % (18492)Termination phase: Naming
% 0.19/0.54  
% 0.19/0.54  % (18492)Memory used [KB]: 1535
% 0.19/0.54  % (18492)Time elapsed: 0.003 s
% 0.19/0.54  % (18492)Instructions burned: 3 (million)
% 0.19/0.54  % (18492)------------------------------
% 0.19/0.54  % (18492)------------------------------
% 1.33/0.54  % (18500)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.33/0.54  % (18488)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.33/0.54  % (18480)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.33/0.54  % (18480)Instruction limit reached!
% 1.33/0.54  % (18480)------------------------------
% 1.33/0.54  % (18480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54  % (18480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54  % (18480)Termination reason: Unknown
% 1.33/0.54  % (18480)Termination phase: Preprocessing 3
% 1.33/0.54  
% 1.33/0.54  % (18480)Memory used [KB]: 1535
% 1.33/0.54  % (18480)Time elapsed: 0.003 s
% 1.33/0.54  % (18480)Instructions burned: 3 (million)
% 1.33/0.54  % (18480)------------------------------
% 1.33/0.54  % (18480)------------------------------
% 1.33/0.54  % (18499)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.54  % (18503)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.33/0.54  % (18478)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.33/0.55  % (18504)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.55  % (18491)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.55  % (18502)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.55  % (18505)Instruction limit reached!
% 1.33/0.55  % (18505)------------------------------
% 1.33/0.55  % (18505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.55  % (18505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.55  % (18505)Termination reason: Unknown
% 1.33/0.55  % (18505)Termination phase: Saturation
% 1.33/0.55  
% 1.33/0.55  % (18505)Memory used [KB]: 6652
% 1.33/0.55  % (18505)Time elapsed: 0.134 s
% 1.33/0.55  % (18505)Instructions burned: 25 (million)
% 1.33/0.55  % (18505)------------------------------
% 1.33/0.55  % (18505)------------------------------
% 1.33/0.55  % (18496)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.55  % (18496)Instruction limit reached!
% 1.33/0.55  % (18496)------------------------------
% 1.33/0.55  % (18496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.55  % (18498)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.33/0.55  % (18496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.55  % (18496)Termination reason: Unknown
% 1.33/0.55  % (18496)Termination phase: Naming
% 1.33/0.55  
% 1.33/0.55  % (18496)Memory used [KB]: 1535
% 1.33/0.55  % (18496)Time elapsed: 0.002 s
% 1.33/0.55  % (18496)Instructions burned: 2 (million)
% 1.33/0.55  % (18496)------------------------------
% 1.33/0.55  % (18496)------------------------------
% 1.33/0.55  % (18479)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.33/0.55  % (18483)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.57/0.55  % (18494)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.57/0.55  % (18486)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.57/0.56  % (18479)Instruction limit reached!
% 1.57/0.56  % (18479)------------------------------
% 1.57/0.56  % (18479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (18482)Refutation found. Thanks to Tanya!
% 1.57/0.56  % SZS status Theorem for theBenchmark
% 1.57/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.56  % (18482)------------------------------
% 1.57/0.56  % (18482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (18482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56  % (18482)Termination reason: Refutation
% 1.57/0.56  
% 1.57/0.56  % (18482)Memory used [KB]: 6268
% 1.57/0.56  % (18482)Time elapsed: 0.136 s
% 1.57/0.56  % (18482)Instructions burned: 8 (million)
% 1.57/0.56  % (18482)------------------------------
% 1.57/0.56  % (18482)------------------------------
% 1.57/0.56  % (18477)Success in time 0.205 s
%------------------------------------------------------------------------------