TSTP Solution File: SWC213+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC213+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 16:11:15 EDT 2024

% Result   : Theorem 0.21s 0.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   34 (  14 unt;   0 def)
%            Number of atoms       :  419 ( 161 equ)
%            Maximal formula atoms :   48 (  12 avg)
%            Number of connectives :  595 ( 210   ~; 169   |; 188   &)
%                                         (   2 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  182 ( 116   !;  66   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f976,plain,
    $false,
    inference(resolution,[],[f966,f957]) ).

fof(f957,plain,
    ~ neq(nil,nil),
    inference(backward_demodulation,[],[f643,f949]) ).

fof(f949,plain,
    nil = sK20,
    inference(resolution,[],[f948,f400]) ).

fof(f400,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f948,plain,
    ( ~ ssList(nil)
    | nil = sK20 ),
    inference(resolution,[],[f941,f379]) ).

fof(f379,plain,
    ssList(sK20),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,plain,
    ( ( nil != sK20
      | nil = sK21 )
    & ~ neq(sK18,nil)
    & ! [X6] :
        ( ! [X7] :
            ( ! [X8] :
                ( app(X8,cons(X6,nil)) != sK20
                | ~ ssList(X8) )
            | app(cons(X6,nil),X7) != sK23
            | ~ ssList(X7) )
        | ~ ssItem(X6) )
    & ! [X9] :
        ( ! [X10] :
            ( ! [X11] :
                ( app(cons(X9,nil),X11) != sK20
                | ~ ssList(X11) )
            | app(X10,cons(X9,nil)) != sK22
            | ~ ssList(X10) )
        | ~ ssItem(X9) )
    & equalelemsP(sK20)
    & sK21 = app(app(sK22,sK20),sK23)
    & ssList(sK23)
    & ssList(sK22)
    & neq(sK19,nil)
    & sK18 = sK20
    & sK19 = sK21
    & ssList(sK21)
    & ssList(sK20)
    & ssList(sK19)
    & ssList(sK18) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22,sK23])],[f100,f256,f255,f254,f253,f252,f251]) ).

fof(f251,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( nil != X2
                      | nil = X3 )
                    & ~ neq(X0,nil)
                    & ? [X4] :
                        ( ? [X5] :
                            ( ! [X6] :
                                ( ! [X7] :
                                    ( ! [X8] :
                                        ( app(X8,cons(X6,nil)) != X2
                                        | ~ ssList(X8) )
                                    | app(cons(X6,nil),X7) != X5
                                    | ~ ssList(X7) )
                                | ~ ssItem(X6) )
                            & ! [X9] :
                                ( ! [X10] :
                                    ( ! [X11] :
                                        ( app(cons(X9,nil),X11) != X2
                                        | ~ ssList(X11) )
                                    | app(X10,cons(X9,nil)) != X4
                                    | ~ ssList(X10) )
                                | ~ ssItem(X9) )
                            & equalelemsP(X2)
                            & app(app(X4,X2),X5) = X3
                            & ssList(X5) )
                        & ssList(X4) )
                    & neq(X1,nil)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ~ neq(sK18,nil)
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X6,nil)) != X2
                                      | ~ ssList(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) )
                              | ~ ssItem(X6) )
                          & ! [X9] :
                              ( ! [X10] :
                                  ( ! [X11] :
                                      ( app(cons(X9,nil),X11) != X2
                                      | ~ ssList(X11) )
                                  | app(X10,cons(X9,nil)) != X4
                                  | ~ ssList(X10) )
                              | ~ ssItem(X9) )
                          & equalelemsP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & neq(X1,nil)
                  & sK18 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f252,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( nil != X2
                  | nil = X3 )
                & ~ neq(sK18,nil)
                & ? [X4] :
                    ( ? [X5] :
                        ( ! [X6] :
                            ( ! [X7] :
                                ( ! [X8] :
                                    ( app(X8,cons(X6,nil)) != X2
                                    | ~ ssList(X8) )
                                | app(cons(X6,nil),X7) != X5
                                | ~ ssList(X7) )
                            | ~ ssItem(X6) )
                        & ! [X9] :
                            ( ! [X10] :
                                ( ! [X11] :
                                    ( app(cons(X9,nil),X11) != X2
                                    | ~ ssList(X11) )
                                | app(X10,cons(X9,nil)) != X4
                                | ~ ssList(X10) )
                            | ~ ssItem(X9) )
                        & equalelemsP(X2)
                        & app(app(X4,X2),X5) = X3
                        & ssList(X5) )
                    & ssList(X4) )
                & neq(X1,nil)
                & sK18 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( nil != X2
                | nil = X3 )
              & ~ neq(sK18,nil)
              & ? [X4] :
                  ( ? [X5] :
                      ( ! [X6] :
                          ( ! [X7] :
                              ( ! [X8] :
                                  ( app(X8,cons(X6,nil)) != X2
                                  | ~ ssList(X8) )
                              | app(cons(X6,nil),X7) != X5
                              | ~ ssList(X7) )
                          | ~ ssItem(X6) )
                      & ! [X9] :
                          ( ! [X10] :
                              ( ! [X11] :
                                  ( app(cons(X9,nil),X11) != X2
                                  | ~ ssList(X11) )
                              | app(X10,cons(X9,nil)) != X4
                              | ~ ssList(X10) )
                          | ~ ssItem(X9) )
                      & equalelemsP(X2)
                      & app(app(X4,X2),X5) = X3
                      & ssList(X5) )
                  & ssList(X4) )
              & neq(sK19,nil)
              & sK18 = X2
              & sK19 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK19) ) ),
    introduced(choice_axiom,[]) ).

fof(f253,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( nil != X2
              | nil = X3 )
            & ~ neq(sK18,nil)
            & ? [X4] :
                ( ? [X5] :
                    ( ! [X6] :
                        ( ! [X7] :
                            ( ! [X8] :
                                ( app(X8,cons(X6,nil)) != X2
                                | ~ ssList(X8) )
                            | app(cons(X6,nil),X7) != X5
                            | ~ ssList(X7) )
                        | ~ ssItem(X6) )
                    & ! [X9] :
                        ( ! [X10] :
                            ( ! [X11] :
                                ( app(cons(X9,nil),X11) != X2
                                | ~ ssList(X11) )
                            | app(X10,cons(X9,nil)) != X4
                            | ~ ssList(X10) )
                        | ~ ssItem(X9) )
                    & equalelemsP(X2)
                    & app(app(X4,X2),X5) = X3
                    & ssList(X5) )
                & ssList(X4) )
            & neq(sK19,nil)
            & sK18 = X2
            & sK19 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( nil != sK20
            | nil = X3 )
          & ~ neq(sK18,nil)
          & ? [X4] :
              ( ? [X5] :
                  ( ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( app(X8,cons(X6,nil)) != sK20
                              | ~ ssList(X8) )
                          | app(cons(X6,nil),X7) != X5
                          | ~ ssList(X7) )
                      | ~ ssItem(X6) )
                  & ! [X9] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( app(cons(X9,nil),X11) != sK20
                              | ~ ssList(X11) )
                          | app(X10,cons(X9,nil)) != X4
                          | ~ ssList(X10) )
                      | ~ ssItem(X9) )
                  & equalelemsP(sK20)
                  & app(app(X4,sK20),X5) = X3
                  & ssList(X5) )
              & ssList(X4) )
          & neq(sK19,nil)
          & sK18 = sK20
          & sK19 = X3
          & ssList(X3) )
      & ssList(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f254,plain,
    ( ? [X3] :
        ( ( nil != sK20
          | nil = X3 )
        & ~ neq(sK18,nil)
        & ? [X4] :
            ( ? [X5] :
                ( ! [X6] :
                    ( ! [X7] :
                        ( ! [X8] :
                            ( app(X8,cons(X6,nil)) != sK20
                            | ~ ssList(X8) )
                        | app(cons(X6,nil),X7) != X5
                        | ~ ssList(X7) )
                    | ~ ssItem(X6) )
                & ! [X9] :
                    ( ! [X10] :
                        ( ! [X11] :
                            ( app(cons(X9,nil),X11) != sK20
                            | ~ ssList(X11) )
                        | app(X10,cons(X9,nil)) != X4
                        | ~ ssList(X10) )
                    | ~ ssItem(X9) )
                & equalelemsP(sK20)
                & app(app(X4,sK20),X5) = X3
                & ssList(X5) )
            & ssList(X4) )
        & neq(sK19,nil)
        & sK18 = sK20
        & sK19 = X3
        & ssList(X3) )
   => ( ( nil != sK20
        | nil = sK21 )
      & ~ neq(sK18,nil)
      & ? [X4] :
          ( ? [X5] :
              ( ! [X6] :
                  ( ! [X7] :
                      ( ! [X8] :
                          ( app(X8,cons(X6,nil)) != sK20
                          | ~ ssList(X8) )
                      | app(cons(X6,nil),X7) != X5
                      | ~ ssList(X7) )
                  | ~ ssItem(X6) )
              & ! [X9] :
                  ( ! [X10] :
                      ( ! [X11] :
                          ( app(cons(X9,nil),X11) != sK20
                          | ~ ssList(X11) )
                      | app(X10,cons(X9,nil)) != X4
                      | ~ ssList(X10) )
                  | ~ ssItem(X9) )
              & equalelemsP(sK20)
              & app(app(X4,sK20),X5) = sK21
              & ssList(X5) )
          & ssList(X4) )
      & neq(sK19,nil)
      & sK18 = sK20
      & sK19 = sK21
      & ssList(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f255,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( app(X8,cons(X6,nil)) != sK20
                        | ~ ssList(X8) )
                    | app(cons(X6,nil),X7) != X5
                    | ~ ssList(X7) )
                | ~ ssItem(X6) )
            & ! [X9] :
                ( ! [X10] :
                    ( ! [X11] :
                        ( app(cons(X9,nil),X11) != sK20
                        | ~ ssList(X11) )
                    | app(X10,cons(X9,nil)) != X4
                    | ~ ssList(X10) )
                | ~ ssItem(X9) )
            & equalelemsP(sK20)
            & app(app(X4,sK20),X5) = sK21
            & ssList(X5) )
        & ssList(X4) )
   => ( ? [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( app(X8,cons(X6,nil)) != sK20
                      | ~ ssList(X8) )
                  | app(cons(X6,nil),X7) != X5
                  | ~ ssList(X7) )
              | ~ ssItem(X6) )
          & ! [X9] :
              ( ! [X10] :
                  ( ! [X11] :
                      ( app(cons(X9,nil),X11) != sK20
                      | ~ ssList(X11) )
                  | app(X10,cons(X9,nil)) != sK22
                  | ~ ssList(X10) )
              | ~ ssItem(X9) )
          & equalelemsP(sK20)
          & sK21 = app(app(sK22,sK20),X5)
          & ssList(X5) )
      & ssList(sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f256,plain,
    ( ? [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( app(X8,cons(X6,nil)) != sK20
                    | ~ ssList(X8) )
                | app(cons(X6,nil),X7) != X5
                | ~ ssList(X7) )
            | ~ ssItem(X6) )
        & ! [X9] :
            ( ! [X10] :
                ( ! [X11] :
                    ( app(cons(X9,nil),X11) != sK20
                    | ~ ssList(X11) )
                | app(X10,cons(X9,nil)) != sK22
                | ~ ssList(X10) )
            | ~ ssItem(X9) )
        & equalelemsP(sK20)
        & sK21 = app(app(sK22,sK20),X5)
        & ssList(X5) )
   => ( ! [X6] :
          ( ! [X7] :
              ( ! [X8] :
                  ( app(X8,cons(X6,nil)) != sK20
                  | ~ ssList(X8) )
              | app(cons(X6,nil),X7) != sK23
              | ~ ssList(X7) )
          | ~ ssItem(X6) )
      & ! [X9] :
          ( ! [X10] :
              ( ! [X11] :
                  ( app(cons(X9,nil),X11) != sK20
                  | ~ ssList(X11) )
              | app(X10,cons(X9,nil)) != sK22
              | ~ ssList(X10) )
          | ~ ssItem(X9) )
      & equalelemsP(sK20)
      & sK21 = app(app(sK22,sK20),sK23)
      & ssList(sK23) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ~ neq(X0,nil)
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X6,nil)) != X2
                                      | ~ ssList(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) )
                              | ~ ssItem(X6) )
                          & ! [X9] :
                              ( ! [X10] :
                                  ( ! [X11] :
                                      ( app(cons(X9,nil),X11) != X2
                                      | ~ ssList(X11) )
                                  | app(X10,cons(X9,nil)) != X4
                                  | ~ ssList(X10) )
                              | ~ ssItem(X9) )
                          & equalelemsP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ~ neq(X0,nil)
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X6,nil)) != X2
                                      | ~ ssList(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) )
                              | ~ ssItem(X6) )
                          & ! [X9] :
                              ( ! [X10] :
                                  ( ! [X11] :
                                      ( app(cons(X9,nil),X11) != X2
                                      | ~ ssList(X11) )
                                  | app(X10,cons(X9,nil)) != X4
                                  | ~ ssList(X10) )
                              | ~ ssItem(X9) )
                          & equalelemsP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( nil = X2
                        & nil != X3 )
                      | neq(X0,nil)
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( app(X8,cons(X6,nil)) = X2
                                            & ssList(X8) )
                                        & app(cons(X6,nil),X7) = X5
                                        & ssList(X7) )
                                    & ssItem(X6) )
                                | ? [X9] :
                                    ( ? [X10] :
                                        ( ? [X11] :
                                            ( app(cons(X9,nil),X11) = X2
                                            & ssList(X11) )
                                        & app(X10,cons(X9,nil)) = X4
                                        & ssList(X10) )
                                    & ssItem(X9) )
                                | ~ equalelemsP(X2)
                                | app(app(X4,X2),X5) != X3 ) ) )
                      | ~ neq(X1,nil)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

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

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

fof(f941,plain,
    ( ~ ssList(sK20)
    | ~ ssList(nil)
    | nil = sK20 ),
    inference(resolution,[],[f580,f643]) ).

fof(f580,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f358]) ).

fof(f358,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f199]) ).

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

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

fof(f643,plain,
    ~ neq(sK20,nil),
    inference(forward_demodulation,[],[f390,f382]) ).

fof(f382,plain,
    sK18 = sK20,
    inference(cnf_transformation,[],[f257]) ).

fof(f390,plain,
    ~ neq(sK18,nil),
    inference(cnf_transformation,[],[f257]) ).

fof(f966,plain,
    neq(nil,nil),
    inference(backward_demodulation,[],[f644,f962]) ).

fof(f962,plain,
    nil = sK21,
    inference(trivial_inequality_removal,[],[f956]) ).

fof(f956,plain,
    ( nil != nil
    | nil = sK21 ),
    inference(backward_demodulation,[],[f391,f949]) ).

fof(f391,plain,
    ( nil != sK20
    | nil = sK21 ),
    inference(cnf_transformation,[],[f257]) ).

fof(f644,plain,
    neq(sK21,nil),
    inference(forward_demodulation,[],[f383,f381]) ).

fof(f381,plain,
    sK19 = sK21,
    inference(cnf_transformation,[],[f257]) ).

fof(f383,plain,
    neq(sK19,nil),
    inference(cnf_transformation,[],[f257]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC213+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 04:09:47 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (4143)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (4146)WARNING: value z3 for option sas not known
% 0.15/0.38  % (4144)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (4145)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (4146)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (4147)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (4148)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38  % (4149)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38  % (4150)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.40  TRYING [1]
% 0.21/0.40  TRYING [1]
% 0.21/0.40  TRYING [2]
% 0.21/0.40  TRYING [2]
% 0.21/0.40  % (4149)First to succeed.
% 0.21/0.41  % (4149)Refutation found. Thanks to Tanya!
% 0.21/0.41  % SZS status Theorem for theBenchmark
% 0.21/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41  % (4149)------------------------------
% 0.21/0.41  % (4149)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41  % (4149)Termination reason: Refutation
% 0.21/0.41  
% 0.21/0.41  % (4149)Memory used [KB]: 1570
% 0.21/0.41  % (4149)Time elapsed: 0.025 s
% 0.21/0.41  % (4149)Instructions burned: 43 (million)
% 0.21/0.41  % (4149)------------------------------
% 0.21/0.41  % (4149)------------------------------
% 0.21/0.41  % (4143)Success in time 0.045 s
%------------------------------------------------------------------------------