TSTP Solution File: SWC320+1 by SnakeForV---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC320+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 : n005.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 18:40:24 EDT 2022

% Result   : Theorem 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   66 (   5 unt;   0 def)
%            Number of atoms       :  413 ( 175 equ)
%            Maximal formula atoms :   40 (   6 avg)
%            Number of connectives :  539 ( 192   ~; 170   |; 147   &)
%                                         (  10 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  104 (  56   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f397,plain,
    $false,
    inference(avatar_sat_refutation,[],[f200,f208,f213,f218,f223,f225,f226,f232,f319,f396]) ).

fof(f396,plain,
    ( ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_8 ),
    inference(avatar_contradiction_clause,[],[f395]) ).

fof(f395,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_7
    | ~ spl10_8 ),
    inference(subsumption_resolution,[],[f394,f231]) ).

fof(f231,plain,
    ( app(sK5,cons(sK4,nil)) = sK3
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl10_8
  <=> app(sK5,cons(sK4,nil)) = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

fof(f394,plain,
    ( app(sK5,cons(sK4,nil)) != sK3
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6
    | ~ spl10_7 ),
    inference(subsumption_resolution,[],[f393,f222]) ).

fof(f222,plain,
    ( ssList(sK5)
    | ~ spl10_7 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl10_7
  <=> ssList(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f393,plain,
    ( ~ ssList(sK5)
    | app(sK5,cons(sK4,nil)) != sK3
    | ~ spl10_1
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(subsumption_resolution,[],[f392,f195]) ).

fof(f195,plain,
    ( ssItem(sK4)
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl10_1
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f392,plain,
    ( ~ ssItem(sK4)
    | ~ ssList(sK5)
    | app(sK5,cons(sK4,nil)) != sK3
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(trivial_inequality_removal,[],[f391]) ).

fof(f391,plain,
    ( ~ ssList(sK5)
    | app(sK5,cons(sK4,nil)) != sK3
    | sK2 != sK2
    | ~ ssItem(sK4)
    | ~ spl10_4
    | ~ spl10_6 ),
    inference(superposition,[],[f207,f217]) ).

fof(f217,plain,
    ( app(cons(sK4,nil),sK5) = sK2
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl10_6
  <=> app(cons(sK4,nil),sK5) = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

fof(f207,plain,
    ( ! [X4,X5] :
        ( app(cons(X4,nil),X5) != sK2
        | ~ ssItem(X4)
        | app(X5,cons(X4,nil)) != sK3
        | ~ ssList(X5) )
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl10_4
  <=> ! [X4,X5] :
        ( ~ ssItem(X4)
        | app(X5,cons(X4,nil)) != sK3
        | ~ ssList(X5)
        | app(cons(X4,nil),X5) != sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f319,plain,
    ( ~ spl10_2
    | ~ spl10_3 ),
    inference(avatar_contradiction_clause,[],[f318]) ).

fof(f318,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_3 ),
    inference(subsumption_resolution,[],[f316,f160]) ).

fof(f160,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f316,plain,
    ( ~ ssList(nil)
    | ~ spl10_2
    | ~ spl10_3 ),
    inference(resolution,[],[f300,f191]) ).

fof(f191,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f172]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X0 != X1
          <=> neq(X0,X1) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f300,plain,
    ( neq(nil,nil)
    | ~ spl10_2
    | ~ spl10_3 ),
    inference(backward_demodulation,[],[f198,f204]) ).

fof(f204,plain,
    ( nil = sK3
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl10_3
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f198,plain,
    ( neq(sK3,nil)
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f197,plain,
    ( spl10_2
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f232,plain,
    ( ~ spl10_2
    | spl10_8 ),
    inference(avatar_split_clause,[],[f144,f229,f197]) ).

fof(f144,plain,
    ( app(sK5,cons(sK4,nil)) = sK3
    | ~ neq(sK3,nil) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ssList(sK1)
    & ssList(sK2)
    & ssList(sK3)
    & ( ( nil != sK0
        & nil = sK1 )
      | ( ! [X4] :
            ( ~ ssItem(X4)
            | ! [X5] :
                ( app(cons(X4,nil),X5) != sK0
                | ~ ssList(X5)
                | app(X5,cons(X4,nil)) != sK1 ) )
        & neq(sK1,nil) ) )
    & sK0 = sK2
    & sK1 = sK3
    & ( nil = sK2
      | nil != sK3 )
    & ( ~ neq(sK3,nil)
      | ( ssItem(sK4)
        & app(sK5,cons(sK4,nil)) = sK3
        & app(cons(sK4,nil),sK5) = sK2
        & ssList(sK5) ) )
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f99,f125,f124,f123,f122,f121,f120]) ).

fof(f120,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & ( ( nil != X0
                        & nil = X1 )
                      | ( ! [X4] :
                            ( ~ ssItem(X4)
                            | ! [X5] :
                                ( app(cons(X4,nil),X5) != X0
                                | ~ ssList(X5)
                                | app(X5,cons(X4,nil)) != X1 ) )
                        & neq(X1,nil) ) )
                    & X0 = X2
                    & X1 = X3
                    & ( nil = X2
                      | nil != X3 )
                    & ( ~ neq(X3,nil)
                      | ? [X6] :
                          ( ssItem(X6)
                          & ? [X7] :
                              ( app(X7,cons(X6,nil)) = X3
                              & app(cons(X6,nil),X7) = X2
                              & ssList(X7) ) ) ) ) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( nil != sK0
                      & nil = X1 )
                    | ( ! [X4] :
                          ( ~ ssItem(X4)
                          | ! [X5] :
                              ( app(cons(X4,nil),X5) != sK0
                              | ~ ssList(X5)
                              | app(X5,cons(X4,nil)) != X1 ) )
                      & neq(X1,nil) ) )
                  & sK0 = X2
                  & X1 = X3
                  & ( nil = X2
                    | nil != X3 )
                  & ( ~ neq(X3,nil)
                    | ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( app(X7,cons(X6,nil)) = X3
                            & app(cons(X6,nil),X7) = X2
                            & ssList(X7) ) ) ) ) ) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ssList(X3)
                & ( ( nil != sK0
                    & nil = X1 )
                  | ( ! [X4] :
                        ( ~ ssItem(X4)
                        | ! [X5] :
                            ( app(cons(X4,nil),X5) != sK0
                            | ~ ssList(X5)
                            | app(X5,cons(X4,nil)) != X1 ) )
                    & neq(X1,nil) ) )
                & sK0 = X2
                & X1 = X3
                & ( nil = X2
                  | nil != X3 )
                & ( ~ neq(X3,nil)
                  | ? [X6] :
                      ( ssItem(X6)
                      & ? [X7] :
                          ( app(X7,cons(X6,nil)) = X3
                          & app(cons(X6,nil),X7) = X2
                          & ssList(X7) ) ) ) ) ) )
   => ( ssList(sK1)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & ( ( nil != sK0
                  & nil = sK1 )
                | ( ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( app(cons(X4,nil),X5) != sK0
                          | ~ ssList(X5)
                          | app(X5,cons(X4,nil)) != sK1 ) )
                  & neq(sK1,nil) ) )
              & sK0 = X2
              & sK1 = X3
              & ( nil = X2
                | nil != X3 )
              & ( ~ neq(X3,nil)
                | ? [X6] :
                    ( ssItem(X6)
                    & ? [X7] :
                        ( app(X7,cons(X6,nil)) = X3
                        & app(cons(X6,nil),X7) = X2
                        & ssList(X7) ) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ssList(X3)
            & ( ( nil != sK0
                & nil = sK1 )
              | ( ! [X4] :
                    ( ~ ssItem(X4)
                    | ! [X5] :
                        ( app(cons(X4,nil),X5) != sK0
                        | ~ ssList(X5)
                        | app(X5,cons(X4,nil)) != sK1 ) )
                & neq(sK1,nil) ) )
            & sK0 = X2
            & sK1 = X3
            & ( nil = X2
              | nil != X3 )
            & ( ~ neq(X3,nil)
              | ? [X6] :
                  ( ssItem(X6)
                  & ? [X7] :
                      ( app(X7,cons(X6,nil)) = X3
                      & app(cons(X6,nil),X7) = X2
                      & ssList(X7) ) ) ) ) )
   => ( ssList(sK2)
      & ? [X3] :
          ( ssList(X3)
          & ( ( nil != sK0
              & nil = sK1 )
            | ( ! [X4] :
                  ( ~ ssItem(X4)
                  | ! [X5] :
                      ( app(cons(X4,nil),X5) != sK0
                      | ~ ssList(X5)
                      | app(X5,cons(X4,nil)) != sK1 ) )
              & neq(sK1,nil) ) )
          & sK0 = sK2
          & sK1 = X3
          & ( nil = sK2
            | nil != X3 )
          & ( ~ neq(X3,nil)
            | ? [X6] :
                ( ssItem(X6)
                & ? [X7] :
                    ( app(X7,cons(X6,nil)) = X3
                    & app(cons(X6,nil),X7) = sK2
                    & ssList(X7) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ( ? [X3] :
        ( ssList(X3)
        & ( ( nil != sK0
            & nil = sK1 )
          | ( ! [X4] :
                ( ~ ssItem(X4)
                | ! [X5] :
                    ( app(cons(X4,nil),X5) != sK0
                    | ~ ssList(X5)
                    | app(X5,cons(X4,nil)) != sK1 ) )
            & neq(sK1,nil) ) )
        & sK0 = sK2
        & sK1 = X3
        & ( nil = sK2
          | nil != X3 )
        & ( ~ neq(X3,nil)
          | ? [X6] :
              ( ssItem(X6)
              & ? [X7] :
                  ( app(X7,cons(X6,nil)) = X3
                  & app(cons(X6,nil),X7) = sK2
                  & ssList(X7) ) ) ) )
   => ( ssList(sK3)
      & ( ( nil != sK0
          & nil = sK1 )
        | ( ! [X4] :
              ( ~ ssItem(X4)
              | ! [X5] :
                  ( app(cons(X4,nil),X5) != sK0
                  | ~ ssList(X5)
                  | app(X5,cons(X4,nil)) != sK1 ) )
          & neq(sK1,nil) ) )
      & sK0 = sK2
      & sK1 = sK3
      & ( nil = sK2
        | nil != sK3 )
      & ( ~ neq(sK3,nil)
        | ? [X6] :
            ( ssItem(X6)
            & ? [X7] :
                ( app(X7,cons(X6,nil)) = sK3
                & app(cons(X6,nil),X7) = sK2
                & ssList(X7) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X6] :
        ( ssItem(X6)
        & ? [X7] :
            ( app(X7,cons(X6,nil)) = sK3
            & app(cons(X6,nil),X7) = sK2
            & ssList(X7) ) )
   => ( ssItem(sK4)
      & ? [X7] :
          ( sK3 = app(X7,cons(sK4,nil))
          & app(cons(sK4,nil),X7) = sK2
          & ssList(X7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X7] :
        ( sK3 = app(X7,cons(sK4,nil))
        & app(cons(sK4,nil),X7) = sK2
        & ssList(X7) )
   => ( app(sK5,cons(sK4,nil)) = sK3
      & app(cons(sK4,nil),sK5) = sK2
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( nil != X0
                      & nil = X1 )
                    | ( ! [X4] :
                          ( ~ ssItem(X4)
                          | ! [X5] :
                              ( app(cons(X4,nil),X5) != X0
                              | ~ ssList(X5)
                              | app(X5,cons(X4,nil)) != X1 ) )
                      & neq(X1,nil) ) )
                  & X0 = X2
                  & X1 = X3
                  & ( nil = X2
                    | nil != X3 )
                  & ( ~ neq(X3,nil)
                    | ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( app(X7,cons(X6,nil)) = X3
                            & app(cons(X6,nil),X7) = X2
                            & ssList(X7) ) ) ) ) ) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( ( nil = X0
                        | nil != X1 )
                      & ( ? [X4] :
                            ( ? [X5] :
                                ( app(X5,cons(X4,nil)) = X1
                                & ssList(X5)
                                & app(cons(X4,nil),X5) = X0 )
                            & ssItem(X4) )
                        | ~ neq(X1,nil) ) )
                    | ~ ssList(X3)
                    | ( nil != X2
                      & nil = X3 )
                    | X0 != X2
                    | ( neq(X3,nil)
                      & ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( ~ ssList(X7)
                              | app(X7,cons(X6,nil)) != X3
                              | app(cons(X6,nil),X7) != X2 ) ) )
                    | X1 != X3 ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( ( nil = X0
                        | nil != X1 )
                      & ( ? [X6] :
                            ( ? [X7] :
                                ( app(cons(X6,nil),X7) = X0
                                & ssList(X7)
                                & app(X7,cons(X6,nil)) = X1 )
                            & ssItem(X6) )
                        | ~ neq(X1,nil) ) )
                    | X0 != X2
                    | ( ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( app(cons(X4,nil),X5) != X2
                              | ~ ssList(X5)
                              | app(X5,cons(X4,nil)) != X3 ) )
                      & neq(X3,nil) )
                    | ( nil != X2
                      & nil = X3 )
                    | ~ ssList(X3)
                    | X1 != X3 ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ( ( nil = X0
                      | nil != X1 )
                    & ( ? [X6] :
                          ( ? [X7] :
                              ( app(cons(X6,nil),X7) = X0
                              & ssList(X7)
                              & app(X7,cons(X6,nil)) = X1 )
                          & ssItem(X6) )
                      | ~ neq(X1,nil) ) )
                  | X0 != X2
                  | ( ! [X4] :
                        ( ssItem(X4)
                       => ! [X5] :
                            ( app(cons(X4,nil),X5) != X2
                            | ~ ssList(X5)
                            | app(X5,cons(X4,nil)) != X3 ) )
                    & neq(X3,nil) )
                  | ( nil != X2
                    & nil = X3 )
                  | ~ ssList(X3)
                  | X1 != X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f226,plain,
    ( ~ spl10_3
    | spl10_5 ),
    inference(avatar_split_clause,[],[f146,f210,f202]) ).

fof(f210,plain,
    ( spl10_5
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f146,plain,
    ( nil = sK2
    | nil != sK3 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f225,plain,
    ( spl10_3
    | spl10_2 ),
    inference(avatar_split_clause,[],[f183,f197,f202]) ).

fof(f183,plain,
    ( neq(sK3,nil)
    | nil = sK3 ),
    inference(definition_unfolding,[],[f149,f147,f147]) ).

fof(f147,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f126]) ).

fof(f149,plain,
    ( nil = sK1
    | neq(sK1,nil) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f223,plain,
    ( ~ spl10_2
    | spl10_7 ),
    inference(avatar_split_clause,[],[f142,f220,f197]) ).

fof(f142,plain,
    ( ssList(sK5)
    | ~ neq(sK3,nil) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f218,plain,
    ( spl10_6
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f143,f197,f215]) ).

fof(f143,plain,
    ( ~ neq(sK3,nil)
    | app(cons(sK4,nil),sK5) = sK2 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f213,plain,
    ( ~ spl10_5
    | spl10_2 ),
    inference(avatar_split_clause,[],[f181,f197,f210]) ).

fof(f181,plain,
    ( neq(sK3,nil)
    | nil != sK2 ),
    inference(definition_unfolding,[],[f151,f148,f147]) ).

fof(f148,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f126]) ).

fof(f151,plain,
    ( nil != sK0
    | neq(sK1,nil) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f208,plain,
    ( spl10_3
    | spl10_4 ),
    inference(avatar_split_clause,[],[f182,f206,f202]) ).

fof(f182,plain,
    ! [X4,X5] :
      ( ~ ssItem(X4)
      | app(cons(X4,nil),X5) != sK2
      | ~ ssList(X5)
      | app(X5,cons(X4,nil)) != sK3
      | nil = sK3 ),
    inference(definition_unfolding,[],[f150,f147,f148,f147]) ).

fof(f150,plain,
    ! [X4,X5] :
      ( nil = sK1
      | ~ ssItem(X4)
      | app(cons(X4,nil),X5) != sK0
      | ~ ssList(X5)
      | app(X5,cons(X4,nil)) != sK1 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f200,plain,
    ( spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f145,f197,f193]) ).

fof(f145,plain,
    ( ~ neq(sK3,nil)
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC320+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
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:46:33 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.48  % (15796)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)
% 0.18/0.49  % (15812)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)
% 0.18/0.50  % (15804)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (15804)Instruction limit reached!
% 0.18/0.50  % (15804)------------------------------
% 0.18/0.50  % (15804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (15804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (15804)Termination reason: Unknown
% 0.18/0.50  % (15804)Termination phase: Preprocessing 3
% 0.18/0.50  
% 0.18/0.50  % (15804)Memory used [KB]: 1663
% 0.18/0.50  % (15804)Time elapsed: 0.003 s
% 0.18/0.50  % (15804)Instructions burned: 4 (million)
% 0.18/0.50  % (15804)------------------------------
% 0.18/0.50  % (15804)------------------------------
% 0.18/0.51  % (15788)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)
% 0.18/0.51  % (15812)First to succeed.
% 0.18/0.51  % (15794)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)
% 0.18/0.52  % (15809)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)
% 0.18/0.52  % (15806)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)
% 0.18/0.52  % (15790)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)
% 0.18/0.52  % (15803)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)
% 0.18/0.53  % (15812)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Theorem for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (15812)------------------------------
% 0.18/0.53  % (15812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (15812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (15812)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (15812)Memory used [KB]: 6268
% 0.18/0.53  % (15812)Time elapsed: 0.110 s
% 0.18/0.53  % (15812)Instructions burned: 15 (million)
% 0.18/0.53  % (15812)------------------------------
% 0.18/0.53  % (15812)------------------------------
% 0.18/0.53  % (15786)Success in time 0.181 s
%------------------------------------------------------------------------------