TSTP Solution File: SWC218+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC218+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 : n006.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 18:39:41 EDT 2022

% Result   : Theorem 0.15s 0.49s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   89 (  12 unt;   0 def)
%            Number of atoms       :  389 ( 117 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  446 ( 146   ~; 126   |; 132   &)
%                                         (  10 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  116 (  53   !;  63   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f327,plain,
    $false,
    inference(avatar_sat_refutation,[],[f197,f231,f269,f275,f286,f290,f326]) ).

fof(f326,plain,
    ( ~ spl11_1
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_10 ),
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f325,plain,
    ( $false
    | ~ spl11_1
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_10 ),
    inference(subsumption_resolution,[],[f324,f190]) ).

fof(f190,plain,
    ( ssList(nil)
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl11_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f324,plain,
    ( ~ ssList(nil)
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_10 ),
    inference(subsumption_resolution,[],[f319,f169]) ).

fof(f169,plain,
    ssItem(sK10),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( ssList(sK6)
    & sK7 = app(sK8,sK9)
    & ssItem(sK10)
    & app(app(sK8,cons(sK10,nil)),sK9) = sK6
    & ssList(sK9)
    & ssList(sK8)
    & ssList(sK7)
    & sK7 = sK5
    & sK4 = sK6
    & ~ neq(sK4,nil)
    & ssList(sK5)
    & ssList(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f105,f136,f135,f134,f133,f132,f131,f130]) ).

fof(f130,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( app(X4,X5) = X3
                            & ? [X6] :
                                ( ssItem(X6)
                                & app(app(X4,cons(X6,nil)),X5) = X2 )
                            & ssList(X5) )
                        & ssList(X4) )
                    & ssList(X3)
                    & X1 = X3
                    & X0 = X2
                    & ~ neq(X0,nil) ) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( app(X4,X5) = X3
                          & ? [X6] :
                              ( ssItem(X6)
                              & app(app(X4,cons(X6,nil)),X5) = X2 )
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3)
                  & X1 = X3
                  & sK4 = X2
                  & ~ neq(sK4,nil) ) )
          & ssList(X1) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( app(X4,X5) = X3
                        & ? [X6] :
                            ( ssItem(X6)
                            & app(app(X4,cons(X6,nil)),X5) = X2 )
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3)
                & X1 = X3
                & sK4 = X2
                & ~ neq(sK4,nil) ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( app(X4,X5) = X3
                      & ? [X6] :
                          ( ssItem(X6)
                          & app(app(X4,cons(X6,nil)),X5) = X2 )
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3)
              & sK5 = X3
              & sK4 = X2
              & ~ neq(sK4,nil) ) )
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( app(X4,X5) = X3
                    & ? [X6] :
                        ( ssItem(X6)
                        & app(app(X4,cons(X6,nil)),X5) = X2 )
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3)
            & sK5 = X3
            & sK4 = X2
            & ~ neq(sK4,nil) ) )
   => ( ssList(sK6)
      & ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( app(X4,X5) = X3
                  & ? [X6] :
                      ( ssItem(X6)
                      & app(app(X4,cons(X6,nil)),X5) = sK6 )
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3)
          & sK5 = X3
          & sK4 = sK6
          & ~ neq(sK4,nil) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ? [X5] :
                ( app(X4,X5) = X3
                & ? [X6] :
                    ( ssItem(X6)
                    & app(app(X4,cons(X6,nil)),X5) = sK6 )
                & ssList(X5) )
            & ssList(X4) )
        & ssList(X3)
        & sK5 = X3
        & sK4 = sK6
        & ~ neq(sK4,nil) )
   => ( ? [X4] :
          ( ? [X5] :
              ( app(X4,X5) = sK7
              & ? [X6] :
                  ( ssItem(X6)
                  & app(app(X4,cons(X6,nil)),X5) = sK6 )
              & ssList(X5) )
          & ssList(X4) )
      & ssList(sK7)
      & sK7 = sK5
      & sK4 = sK6
      & ~ neq(sK4,nil) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( app(X4,X5) = sK7
            & ? [X6] :
                ( ssItem(X6)
                & app(app(X4,cons(X6,nil)),X5) = sK6 )
            & ssList(X5) )
        & ssList(X4) )
   => ( ? [X5] :
          ( sK7 = app(sK8,X5)
          & ? [X6] :
              ( ssItem(X6)
              & app(app(sK8,cons(X6,nil)),X5) = sK6 )
          & ssList(X5) )
      & ssList(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ( ? [X5] :
        ( sK7 = app(sK8,X5)
        & ? [X6] :
            ( ssItem(X6)
            & app(app(sK8,cons(X6,nil)),X5) = sK6 )
        & ssList(X5) )
   => ( sK7 = app(sK8,sK9)
      & ? [X6] :
          ( ssItem(X6)
          & app(app(sK8,cons(X6,nil)),sK9) = sK6 )
      & ssList(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ( ? [X6] :
        ( ssItem(X6)
        & app(app(sK8,cons(X6,nil)),sK9) = sK6 )
   => ( ssItem(sK10)
      & app(app(sK8,cons(sK10,nil)),sK9) = sK6 ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( app(X4,X5) = X3
                          & ? [X6] :
                              ( ssItem(X6)
                              & app(app(X4,cons(X6,nil)),X5) = X2 )
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3)
                  & X1 = X3
                  & X0 = X2
                  & ~ neq(X0,nil) ) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & ~ neq(X0,nil)
                  & X0 = X2
                  & ? [X4] :
                      ( ? [X5] :
                          ( app(X4,X5) = X3
                          & ? [X6] :
                              ( ssItem(X6)
                              & app(app(X4,cons(X6,nil)),X5) = X2 )
                          & ssList(X5) )
                      & ssList(X4) )
                  & 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)
                   => ( X1 != X3
                      | neq(X0,nil)
                      | X0 != X2
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( app(X4,X5) != X3
                                | ! [X6] :
                                    ( ssItem(X6)
                                   => app(app(X4,cons(X6,nil)),X5) != X2 ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | neq(X0,nil)
                    | X0 != X2
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(X4,X5) != X3
                              | ! [X6] :
                                  ( ssItem(X6)
                                 => app(app(X4,cons(X6,nil)),X5) != X2 ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f319,plain,
    ( ~ ssItem(sK10)
    | ~ ssList(nil)
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_10 ),
    inference(trivial_inequality_removal,[],[f316]) ).

fof(f316,plain,
    ( ~ ssItem(sK10)
    | nil != nil
    | ~ ssList(nil)
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_10 ),
    inference(superposition,[],[f155,f312]) ).

fof(f312,plain,
    ( nil = cons(sK10,nil)
    | ~ spl11_7
    | ~ spl11_8
    | ~ spl11_10 ),
    inference(subsumption_resolution,[],[f309,f284]) ).

fof(f284,plain,
    ( ssList(cons(sK10,nil))
    | ~ spl11_10 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f283,plain,
    ( spl11_10
  <=> ssList(cons(sK10,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).

fof(f309,plain,
    ( ~ ssList(cons(sK10,nil))
    | nil = cons(sK10,nil)
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(superposition,[],[f154,f291]) ).

fof(f291,plain,
    ( nil = app(nil,cons(sK10,nil))
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(backward_demodulation,[],[f264,f258]) ).

fof(f258,plain,
    ( nil = sK8
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl11_7
  <=> nil = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

fof(f264,plain,
    ( nil = app(sK8,cons(sK10,nil))
    | ~ spl11_8 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl11_8
  <=> nil = app(sK8,cons(sK10,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).

fof(f154,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f155,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) != X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

fof(f290,plain,
    ( ~ spl11_1
    | spl11_10 ),
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f289,plain,
    ( $false
    | ~ spl11_1
    | spl11_10 ),
    inference(subsumption_resolution,[],[f288,f169]) ).

fof(f288,plain,
    ( ~ ssItem(sK10)
    | ~ spl11_1
    | spl11_10 ),
    inference(subsumption_resolution,[],[f287,f190]) ).

fof(f287,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK10)
    | spl11_10 ),
    inference(resolution,[],[f285,f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f285,plain,
    ( ~ ssList(cons(sK10,nil))
    | spl11_10 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f286,plain,
    ( ~ spl11_10
    | spl11_7
    | ~ spl11_8 ),
    inference(avatar_split_clause,[],[f281,f262,f256,f283]) ).

fof(f281,plain,
    ( nil = sK8
    | ~ ssList(cons(sK10,nil))
    | ~ spl11_8 ),
    inference(subsumption_resolution,[],[f280,f166]) ).

fof(f166,plain,
    ssList(sK8),
    inference(cnf_transformation,[],[f137]) ).

fof(f280,plain,
    ( nil = sK8
    | ~ ssList(cons(sK10,nil))
    | ~ ssList(sK8)
    | ~ spl11_8 ),
    inference(trivial_inequality_removal,[],[f278]) ).

fof(f278,plain,
    ( nil = sK8
    | nil != nil
    | ~ ssList(sK8)
    | ~ ssList(cons(sK10,nil))
    | ~ spl11_8 ),
    inference(superposition,[],[f145,f264]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X1
              | nil != X0 )
            & ( ( nil = X1
                & nil = X0 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X1
              | nil != X0 )
            & ( ( nil = X1
                & nil = X0 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).

fof(f275,plain,
    ( ~ spl11_1
    | spl11_9 ),
    inference(avatar_contradiction_clause,[],[f274]) ).

fof(f274,plain,
    ( $false
    | ~ spl11_1
    | spl11_9 ),
    inference(subsumption_resolution,[],[f273,f169]) ).

fof(f273,plain,
    ( ~ ssItem(sK10)
    | ~ spl11_1
    | spl11_9 ),
    inference(subsumption_resolution,[],[f272,f190]) ).

fof(f272,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK10)
    | spl11_9 ),
    inference(resolution,[],[f271,f174]) ).

fof(f271,plain,
    ( ~ ssList(cons(sK10,nil))
    | spl11_9 ),
    inference(subsumption_resolution,[],[f270,f166]) ).

fof(f270,plain,
    ( ~ ssList(sK8)
    | ~ ssList(cons(sK10,nil))
    | spl11_9 ),
    inference(resolution,[],[f268,f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ssList(app(X0,X1)) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f268,plain,
    ( ~ ssList(app(sK8,cons(sK10,nil)))
    | spl11_9 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl11_9
  <=> ssList(app(sK8,cons(sK10,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).

fof(f269,plain,
    ( spl11_8
    | ~ spl11_9
    | ~ spl11_3 ),
    inference(avatar_split_clause,[],[f260,f212,f266,f262]) ).

fof(f212,plain,
    ( spl11_3
  <=> nil = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f260,plain,
    ( ~ ssList(app(sK8,cons(sK10,nil)))
    | nil = app(sK8,cons(sK10,nil))
    | ~ spl11_3 ),
    inference(subsumption_resolution,[],[f247,f167]) ).

fof(f167,plain,
    ssList(sK9),
    inference(cnf_transformation,[],[f137]) ).

fof(f247,plain,
    ( nil = app(sK8,cons(sK10,nil))
    | ~ ssList(app(sK8,cons(sK10,nil)))
    | ~ ssList(sK9)
    | ~ spl11_3 ),
    inference(trivial_inequality_removal,[],[f243]) ).

fof(f243,plain,
    ( ~ ssList(app(sK8,cons(sK10,nil)))
    | nil != nil
    | nil = app(sK8,cons(sK10,nil))
    | ~ ssList(sK9)
    | ~ spl11_3 ),
    inference(superposition,[],[f145,f233]) ).

fof(f233,plain,
    ( nil = app(app(sK8,cons(sK10,nil)),sK9)
    | ~ spl11_3 ),
    inference(backward_demodulation,[],[f168,f214]) ).

fof(f214,plain,
    ( nil = sK6
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f168,plain,
    app(app(sK8,cons(sK10,nil)),sK9) = sK6,
    inference(cnf_transformation,[],[f137]) ).

fof(f231,plain,
    ( spl11_3
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f230,f189,f212]) ).

fof(f230,plain,
    ( nil = sK6
    | ~ spl11_1 ),
    inference(subsumption_resolution,[],[f229,f171]) ).

fof(f171,plain,
    ssList(sK6),
    inference(cnf_transformation,[],[f137]) ).

fof(f229,plain,
    ( nil = sK6
    | ~ ssList(sK6)
    | ~ spl11_1 ),
    inference(subsumption_resolution,[],[f224,f190]) ).

fof(f224,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK6)
    | nil = sK6 ),
    inference(resolution,[],[f152,f179]) ).

fof(f179,plain,
    ~ neq(sK6,nil),
    inference(definition_unfolding,[],[f162,f163]) ).

fof(f163,plain,
    sK4 = sK6,
    inference(cnf_transformation,[],[f137]) ).

fof(f162,plain,
    ~ neq(sK4,nil),
    inference(cnf_transformation,[],[f137]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f197,plain,
    spl11_1,
    inference(avatar_split_clause,[],[f175,f189]) ).

fof(f175,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWC218+1 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 18:34:09 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.46  % (15210)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)
% 0.15/0.46  % (15211)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.46  % (15202)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)
% 0.15/0.46  % (15203)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)
% 0.15/0.46  % (15210)Instruction limit reached!
% 0.15/0.46  % (15210)------------------------------
% 0.15/0.46  % (15210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46  % (15210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46  % (15210)Termination reason: Unknown
% 0.15/0.46  % (15210)Termination phase: Naming
% 0.15/0.46  
% 0.15/0.46  % (15210)Memory used [KB]: 1535
% 0.15/0.46  % (15210)Time elapsed: 0.005 s
% 0.15/0.46  % (15210)Instructions burned: 3 (million)
% 0.15/0.46  % (15210)------------------------------
% 0.15/0.46  % (15210)------------------------------
% 0.15/0.46  % (15211)Instruction limit reached!
% 0.15/0.46  % (15211)------------------------------
% 0.15/0.46  % (15211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (15202)First to succeed.
% 0.15/0.48  % (15218)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)
% 0.15/0.48  % (15220)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)
% 0.15/0.48  % (15211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (15211)Termination reason: Unknown
% 0.15/0.48  % (15211)Termination phase: shuffling
% 0.15/0.48  
% 0.15/0.48  % (15211)Memory used [KB]: 1791
% 0.15/0.48  % (15211)Time elapsed: 0.007 s
% 0.15/0.48  % (15211)Instructions burned: 8 (million)
% 0.15/0.48  % (15211)------------------------------
% 0.15/0.48  % (15211)------------------------------
% 0.15/0.49  % (15202)Refutation found. Thanks to Tanya!
% 0.15/0.49  % SZS status Theorem for theBenchmark
% 0.15/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49  % (15202)------------------------------
% 0.15/0.49  % (15202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (15202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (15202)Termination reason: Refutation
% 0.15/0.49  
% 0.15/0.49  % (15202)Memory used [KB]: 6140
% 0.15/0.49  % (15202)Time elapsed: 0.111 s
% 0.15/0.49  % (15202)Instructions burned: 7 (million)
% 0.15/0.49  % (15202)------------------------------
% 0.15/0.49  % (15202)------------------------------
% 0.15/0.49  % (15195)Success in time 0.173 s
%------------------------------------------------------------------------------