TSTP Solution File: SWC213+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC213+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 18:39:38 EDT 2022

% Result   : Theorem 0.10s 0.47s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   43 (  11 unt;   0 def)
%            Number of atoms       :  442 ( 162 equ)
%            Maximal formula atoms :   48 (  10 avg)
%            Number of connectives :  626 ( 227   ~; 181   |; 193   &)
%                                         (   5 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  182 ( 116   !;  66   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f293,plain,
    $false,
    inference(avatar_sat_refutation,[],[f228,f229,f272,f292]) ).

fof(f292,plain,
    ( ~ spl14_3
    | ~ spl14_4 ),
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | ~ spl14_3
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f285,f278]) ).

fof(f278,plain,
    ( ~ neq(nil,nil)
    | ~ spl14_3 ),
    inference(backward_demodulation,[],[f201,f222]) ).

fof(f222,plain,
    ( nil = sK10
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl14_3
  <=> nil = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f201,plain,
    ~ neq(sK10,nil),
    inference(definition_unfolding,[],[f184,f185]) ).

fof(f185,plain,
    sK8 = sK10,
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ssList(sK9)
    & ssList(sK12)
    & ssList(sK13)
    & ! [X6] :
        ( ~ ssItem(X6)
        | ! [X7] :
            ( app(cons(X6,nil),X7) != sK13
            | ! [X8] :
                ( app(X8,cons(X6,nil)) != sK10
                | ~ ssList(X8) )
            | ~ ssList(X7) ) )
    & equalelemsP(sK10)
    & ! [X9] :
        ( ! [X10] :
            ( app(X10,cons(X9,nil)) != sK12
            | ~ ssList(X10)
            | ! [X11] :
                ( ~ ssList(X11)
                | app(cons(X9,nil),X11) != sK10 ) )
        | ~ ssItem(X9) )
    & sK11 = app(app(sK12,sK10),sK13)
    & sK9 = sK11
    & ( nil = sK11
      | nil != sK10 )
    & ssList(sK11)
    & neq(sK9,nil)
    & sK8 = sK10
    & ~ neq(sK8,nil)
    & ssList(sK10)
    & ssList(sK8) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13])],[f140,f146,f145,f144,f143,f142,f141]) ).

fof(f141,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ssList(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ! [X6] :
                                ( ~ ssItem(X6)
                                | ! [X7] :
                                    ( app(cons(X6,nil),X7) != X5
                                    | ! [X8] :
                                        ( app(X8,cons(X6,nil)) != X2
                                        | ~ ssList(X8) )
                                    | ~ ssList(X7) ) )
                            & equalelemsP(X2)
                            & ! [X9] :
                                ( ! [X10] :
                                    ( app(X10,cons(X9,nil)) != X4
                                    | ~ ssList(X10)
                                    | ! [X11] :
                                        ( ~ ssList(X11)
                                        | app(cons(X9,nil),X11) != X2 ) )
                                | ~ ssItem(X9) )
                            & app(app(X4,X2),X5) = X3 ) )
                    & X1 = X3
                    & ( nil = X3
                      | nil != X2 )
                    & ssList(X3)
                    & neq(X1,nil)
                    & X0 = X2
                    & ~ neq(X0,nil) )
                & ssList(X2) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( app(cons(X6,nil),X7) != X5
                                  | ! [X8] :
                                      ( app(X8,cons(X6,nil)) != X2
                                      | ~ ssList(X8) )
                                  | ~ ssList(X7) ) )
                          & equalelemsP(X2)
                          & ! [X9] :
                              ( ! [X10] :
                                  ( app(X10,cons(X9,nil)) != X4
                                  | ~ ssList(X10)
                                  | ! [X11] :
                                      ( ~ ssList(X11)
                                      | app(cons(X9,nil),X11) != X2 ) )
                              | ~ ssItem(X9) )
                          & app(app(X4,X2),X5) = X3 ) )
                  & X1 = X3
                  & ( nil = X3
                    | nil != X2 )
                  & ssList(X3)
                  & neq(X1,nil)
                  & sK8 = X2
                  & ~ neq(sK8,nil) )
              & ssList(X2) ) )
      & ssList(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ssList(X4)
                    & ? [X5] :
                        ( ssList(X5)
                        & ! [X6] :
                            ( ~ ssItem(X6)
                            | ! [X7] :
                                ( app(cons(X6,nil),X7) != X5
                                | ! [X8] :
                                    ( app(X8,cons(X6,nil)) != X2
                                    | ~ ssList(X8) )
                                | ~ ssList(X7) ) )
                        & equalelemsP(X2)
                        & ! [X9] :
                            ( ! [X10] :
                                ( app(X10,cons(X9,nil)) != X4
                                | ~ ssList(X10)
                                | ! [X11] :
                                    ( ~ ssList(X11)
                                    | app(cons(X9,nil),X11) != X2 ) )
                            | ~ ssItem(X9) )
                        & app(app(X4,X2),X5) = X3 ) )
                & X1 = X3
                & ( nil = X3
                  | nil != X2 )
                & ssList(X3)
                & neq(X1,nil)
                & sK8 = X2
                & ~ neq(sK8,nil) )
            & ssList(X2) ) )
   => ( ssList(sK9)
      & ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( ssList(X5)
                      & ! [X6] :
                          ( ~ ssItem(X6)
                          | ! [X7] :
                              ( app(cons(X6,nil),X7) != X5
                              | ! [X8] :
                                  ( app(X8,cons(X6,nil)) != X2
                                  | ~ ssList(X8) )
                              | ~ ssList(X7) ) )
                      & equalelemsP(X2)
                      & ! [X9] :
                          ( ! [X10] :
                              ( app(X10,cons(X9,nil)) != X4
                              | ~ ssList(X10)
                              | ! [X11] :
                                  ( ~ ssList(X11)
                                  | app(cons(X9,nil),X11) != X2 ) )
                          | ~ ssItem(X9) )
                      & app(app(X4,X2),X5) = X3 ) )
              & sK9 = X3
              & ( nil = X3
                | nil != X2 )
              & ssList(X3)
              & neq(sK9,nil)
              & sK8 = X2
              & ~ neq(sK8,nil) )
          & ssList(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ssList(X4)
                & ? [X5] :
                    ( ssList(X5)
                    & ! [X6] :
                        ( ~ ssItem(X6)
                        | ! [X7] :
                            ( app(cons(X6,nil),X7) != X5
                            | ! [X8] :
                                ( app(X8,cons(X6,nil)) != X2
                                | ~ ssList(X8) )
                            | ~ ssList(X7) ) )
                    & equalelemsP(X2)
                    & ! [X9] :
                        ( ! [X10] :
                            ( app(X10,cons(X9,nil)) != X4
                            | ~ ssList(X10)
                            | ! [X11] :
                                ( ~ ssList(X11)
                                | app(cons(X9,nil),X11) != X2 ) )
                        | ~ ssItem(X9) )
                    & app(app(X4,X2),X5) = X3 ) )
            & sK9 = X3
            & ( nil = X3
              | nil != X2 )
            & ssList(X3)
            & neq(sK9,nil)
            & sK8 = X2
            & ~ neq(sK8,nil) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ssList(X4)
              & ? [X5] :
                  ( ssList(X5)
                  & ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( app(cons(X6,nil),X7) != X5
                          | ! [X8] :
                              ( app(X8,cons(X6,nil)) != sK10
                              | ~ ssList(X8) )
                          | ~ ssList(X7) ) )
                  & equalelemsP(sK10)
                  & ! [X9] :
                      ( ! [X10] :
                          ( app(X10,cons(X9,nil)) != X4
                          | ~ ssList(X10)
                          | ! [X11] :
                              ( ~ ssList(X11)
                              | app(cons(X9,nil),X11) != sK10 ) )
                      | ~ ssItem(X9) )
                  & app(app(X4,sK10),X5) = X3 ) )
          & sK9 = X3
          & ( nil = X3
            | nil != sK10 )
          & ssList(X3)
          & neq(sK9,nil)
          & sK8 = sK10
          & ~ neq(sK8,nil) )
      & ssList(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ssList(X4)
            & ? [X5] :
                ( ssList(X5)
                & ! [X6] :
                    ( ~ ssItem(X6)
                    | ! [X7] :
                        ( app(cons(X6,nil),X7) != X5
                        | ! [X8] :
                            ( app(X8,cons(X6,nil)) != sK10
                            | ~ ssList(X8) )
                        | ~ ssList(X7) ) )
                & equalelemsP(sK10)
                & ! [X9] :
                    ( ! [X10] :
                        ( app(X10,cons(X9,nil)) != X4
                        | ~ ssList(X10)
                        | ! [X11] :
                            ( ~ ssList(X11)
                            | app(cons(X9,nil),X11) != sK10 ) )
                    | ~ ssItem(X9) )
                & app(app(X4,sK10),X5) = X3 ) )
        & sK9 = X3
        & ( nil = X3
          | nil != sK10 )
        & ssList(X3)
        & neq(sK9,nil)
        & sK8 = sK10
        & ~ neq(sK8,nil) )
   => ( ? [X4] :
          ( ssList(X4)
          & ? [X5] :
              ( ssList(X5)
              & ! [X6] :
                  ( ~ ssItem(X6)
                  | ! [X7] :
                      ( app(cons(X6,nil),X7) != X5
                      | ! [X8] :
                          ( app(X8,cons(X6,nil)) != sK10
                          | ~ ssList(X8) )
                      | ~ ssList(X7) ) )
              & equalelemsP(sK10)
              & ! [X9] :
                  ( ! [X10] :
                      ( app(X10,cons(X9,nil)) != X4
                      | ~ ssList(X10)
                      | ! [X11] :
                          ( ~ ssList(X11)
                          | app(cons(X9,nil),X11) != sK10 ) )
                  | ~ ssItem(X9) )
              & sK11 = app(app(X4,sK10),X5) ) )
      & sK9 = sK11
      & ( nil = sK11
        | nil != sK10 )
      & ssList(sK11)
      & neq(sK9,nil)
      & sK8 = sK10
      & ~ neq(sK8,nil) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ( ? [X4] :
        ( ssList(X4)
        & ? [X5] :
            ( ssList(X5)
            & ! [X6] :
                ( ~ ssItem(X6)
                | ! [X7] :
                    ( app(cons(X6,nil),X7) != X5
                    | ! [X8] :
                        ( app(X8,cons(X6,nil)) != sK10
                        | ~ ssList(X8) )
                    | ~ ssList(X7) ) )
            & equalelemsP(sK10)
            & ! [X9] :
                ( ! [X10] :
                    ( app(X10,cons(X9,nil)) != X4
                    | ~ ssList(X10)
                    | ! [X11] :
                        ( ~ ssList(X11)
                        | app(cons(X9,nil),X11) != sK10 ) )
                | ~ ssItem(X9) )
            & sK11 = app(app(X4,sK10),X5) ) )
   => ( ssList(sK12)
      & ? [X5] :
          ( ssList(X5)
          & ! [X6] :
              ( ~ ssItem(X6)
              | ! [X7] :
                  ( app(cons(X6,nil),X7) != X5
                  | ! [X8] :
                      ( app(X8,cons(X6,nil)) != sK10
                      | ~ ssList(X8) )
                  | ~ ssList(X7) ) )
          & equalelemsP(sK10)
          & ! [X9] :
              ( ! [X10] :
                  ( app(X10,cons(X9,nil)) != sK12
                  | ~ ssList(X10)
                  | ! [X11] :
                      ( ~ ssList(X11)
                      | app(cons(X9,nil),X11) != sK10 ) )
              | ~ ssItem(X9) )
          & app(app(sK12,sK10),X5) = sK11 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ( ? [X5] :
        ( ssList(X5)
        & ! [X6] :
            ( ~ ssItem(X6)
            | ! [X7] :
                ( app(cons(X6,nil),X7) != X5
                | ! [X8] :
                    ( app(X8,cons(X6,nil)) != sK10
                    | ~ ssList(X8) )
                | ~ ssList(X7) ) )
        & equalelemsP(sK10)
        & ! [X9] :
            ( ! [X10] :
                ( app(X10,cons(X9,nil)) != sK12
                | ~ ssList(X10)
                | ! [X11] :
                    ( ~ ssList(X11)
                    | app(cons(X9,nil),X11) != sK10 ) )
            | ~ ssItem(X9) )
        & app(app(sK12,sK10),X5) = sK11 )
   => ( ssList(sK13)
      & ! [X6] :
          ( ~ ssItem(X6)
          | ! [X7] :
              ( app(cons(X6,nil),X7) != sK13
              | ! [X8] :
                  ( app(X8,cons(X6,nil)) != sK10
                  | ~ ssList(X8) )
              | ~ ssList(X7) ) )
      & equalelemsP(sK10)
      & ! [X9] :
          ( ! [X10] :
              ( app(X10,cons(X9,nil)) != sK12
              | ~ ssList(X10)
              | ! [X11] :
                  ( ~ ssList(X11)
                  | app(cons(X9,nil),X11) != sK10 ) )
          | ~ ssItem(X9) )
      & sK11 = app(app(sK12,sK10),sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( app(cons(X6,nil),X7) != X5
                                  | ! [X8] :
                                      ( app(X8,cons(X6,nil)) != X2
                                      | ~ ssList(X8) )
                                  | ~ ssList(X7) ) )
                          & equalelemsP(X2)
                          & ! [X9] :
                              ( ! [X10] :
                                  ( app(X10,cons(X9,nil)) != X4
                                  | ~ ssList(X10)
                                  | ! [X11] :
                                      ( ~ ssList(X11)
                                      | app(cons(X9,nil),X11) != X2 ) )
                              | ~ ssItem(X9) )
                          & app(app(X4,X2),X5) = X3 ) )
                  & X1 = X3
                  & ( nil = X3
                    | nil != X2 )
                  & ssList(X3)
                  & neq(X1,nil)
                  & X0 = X2
                  & ~ neq(X0,nil) )
              & ssList(X2) ) )
      & ssList(X0) ),
    inference(rectify,[],[f111]) ).

fof(f111,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ! [X9] :
                              ( ~ ssItem(X9)
                              | ! [X10] :
                                  ( app(cons(X9,nil),X10) != X5
                                  | ! [X11] :
                                      ( app(X11,cons(X9,nil)) != X2
                                      | ~ ssList(X11) )
                                  | ~ ssList(X10) ) )
                          & equalelemsP(X2)
                          & ! [X6] :
                              ( ! [X7] :
                                  ( app(X7,cons(X6,nil)) != X4
                                  | ~ ssList(X7)
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | app(cons(X6,nil),X8) != X2 ) )
                              | ~ ssItem(X6) )
                          & app(app(X4,X2),X5) = X3 ) )
                  & X1 = X3
                  & ( nil = X3
                    | nil != X2 )
                  & ssList(X3)
                  & neq(X1,nil)
                  & X0 = X2
                  & ~ neq(X0,nil) )
              & ssList(X2) ) )
      & ssList(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ~ neq(X0,nil)
                  & X1 = X3
                  & X0 = X2
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X9] :
                              ( ~ ssItem(X9)
                              | ! [X10] :
                                  ( app(cons(X9,nil),X10) != X5
                                  | ! [X11] :
                                      ( app(X11,cons(X9,nil)) != X2
                                      | ~ ssList(X11) )
                                  | ~ ssList(X10) ) )
                          & equalelemsP(X2)
                          & ! [X6] :
                              ( ! [X7] :
                                  ( app(X7,cons(X6,nil)) != X4
                                  | ~ ssList(X7)
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | app(cons(X6,nil),X8) != X2 ) )
                              | ~ ssItem(X6) )
                          & app(app(X4,X2),X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & neq(X1,nil)
                  & ( 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)
                   => ( neq(X0,nil)
                      | X1 != X3
                      | X0 != X2
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( ? [X9] :
                                    ( ssItem(X9)
                                    & ? [X10] :
                                        ( app(cons(X9,nil),X10) = X5
                                        & ssList(X10)
                                        & ? [X11] :
                                            ( ssList(X11)
                                            & app(X11,cons(X9,nil)) = X2 ) ) )
                                | ~ equalelemsP(X2)
                                | ? [X6] :
                                    ( ssItem(X6)
                                    & ? [X7] :
                                        ( ssList(X7)
                                        & ? [X8] :
                                            ( app(cons(X6,nil),X8) = X2
                                            & ssList(X8) )
                                        & app(X7,cons(X6,nil)) = X4 ) )
                                | app(app(X4,X2),X5) != X3 ) ) )
                      | ~ neq(X1,nil)
                      | ( nil != X3
                        & nil = X2 ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f184,plain,
    ~ neq(sK8,nil),
    inference(cnf_transformation,[],[f147]) ).

fof(f285,plain,
    ( neq(nil,nil)
    | ~ spl14_4 ),
    inference(backward_demodulation,[],[f200,f227]) ).

fof(f227,plain,
    ( nil = sK11
    | ~ spl14_4 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl14_4
  <=> nil = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f200,plain,
    neq(sK11,nil),
    inference(definition_unfolding,[],[f186,f189]) ).

fof(f189,plain,
    sK9 = sK11,
    inference(cnf_transformation,[],[f147]) ).

fof(f186,plain,
    neq(sK9,nil),
    inference(cnf_transformation,[],[f147]) ).

fof(f272,plain,
    ( spl14_3
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f271,f216,f221]) ).

fof(f216,plain,
    ( spl14_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f271,plain,
    ( nil = sK10
    | ~ spl14_2 ),
    inference(subsumption_resolution,[],[f267,f183]) ).

fof(f183,plain,
    ssList(sK10),
    inference(cnf_transformation,[],[f147]) ).

fof(f267,plain,
    ( nil = sK10
    | ~ ssList(sK10)
    | ~ spl14_2 ),
    inference(subsumption_resolution,[],[f262,f217]) ).

fof(f217,plain,
    ( ssList(nil)
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f262,plain,
    ( ~ ssList(nil)
    | nil = sK10
    | ~ ssList(sK10) ),
    inference(resolution,[],[f159,f201]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( X0 != X1
          <=> neq(X0,X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f229,plain,
    spl14_2,
    inference(avatar_split_clause,[],[f152,f216]) ).

fof(f152,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f228,plain,
    ( ~ spl14_3
    | spl14_4 ),
    inference(avatar_split_clause,[],[f188,f225,f221]) ).

fof(f188,plain,
    ( nil = sK11
    | nil != sK10 ),
    inference(cnf_transformation,[],[f147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem    : SWC213+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.06/0.25  % Computer : n005.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit   : 300
% 0.06/0.25  % WCLimit    : 300
% 0.06/0.25  % DateTime   : Tue Aug 30 18:34:33 EDT 2022
% 0.06/0.25  % CPUTime    : 
% 0.10/0.44  % (24945)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)
% 0.10/0.44  % (24930)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)
% 0.10/0.45  % (24937)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)
% 0.10/0.45  % (24938)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)
% 0.10/0.45  % (24929)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)
% 0.10/0.45  % (24929)First to succeed.
% 0.10/0.46  % (24937)Instruction limit reached!
% 0.10/0.46  % (24937)------------------------------
% 0.10/0.46  % (24937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46  % (24946)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.10/0.46  % (24938)Instruction limit reached!
% 0.10/0.46  % (24938)------------------------------
% 0.10/0.46  % (24938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46  % (24937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46  % (24937)Termination reason: Unknown
% 0.10/0.46  % (24937)Termination phase: Preprocessing 3
% 0.10/0.46  
% 0.10/0.46  % (24937)Memory used [KB]: 1535
% 0.10/0.46  % (24937)Time elapsed: 0.005 s
% 0.10/0.46  % (24937)Instructions burned: 3 (million)
% 0.10/0.46  % (24937)------------------------------
% 0.10/0.46  % (24937)------------------------------
% 0.10/0.47  % (24929)Refutation found. Thanks to Tanya!
% 0.10/0.47  % SZS status Theorem for theBenchmark
% 0.10/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.47  % (24929)------------------------------
% 0.10/0.47  % (24929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47  % (24929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47  % (24929)Termination reason: Refutation
% 0.10/0.47  
% 0.10/0.47  % (24929)Memory used [KB]: 6140
% 0.10/0.47  % (24929)Time elapsed: 0.120 s
% 0.10/0.47  % (24929)Instructions burned: 7 (million)
% 0.10/0.47  % (24929)------------------------------
% 0.10/0.47  % (24929)------------------------------
% 0.10/0.47  % (24922)Success in time 0.208 s
%------------------------------------------------------------------------------