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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -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 : Wed Aug 31 18:42:26 EDT 2022

% Result   : Theorem 1.28s 0.53s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   46 (   9 unt;   0 def)
%            Number of atoms       :  453 ( 164 equ)
%            Maximal formula atoms :   48 (   9 avg)
%            Number of connectives :  643 ( 236   ~; 189   |; 193   &)
%                                         (   5 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   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   :  186 ( 120   !;  66   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1623,plain,
    $false,
    inference(avatar_sat_refutation,[],[f627,f637,f1556,f1622]) ).

fof(f1622,plain,
    ( ~ spl61_1
    | spl61_6 ),
    inference(avatar_contradiction_clause,[],[f1621]) ).

fof(f1621,plain,
    ( $false
    | ~ spl61_1
    | spl61_6 ),
    inference(subsumption_resolution,[],[f1620,f611]) ).

fof(f611,plain,
    ( ssList(nil)
    | ~ spl61_1 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f610,plain,
    ( spl61_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_1])]) ).

fof(f1620,plain,
    ( ~ ssList(nil)
    | spl61_6 ),
    inference(subsumption_resolution,[],[f1619,f636]) ).

fof(f636,plain,
    ( nil != sK26
    | spl61_6 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f634,plain,
    ( spl61_6
  <=> nil = sK26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_6])]) ).

fof(f1619,plain,
    ( nil = sK26
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f1616,f420]) ).

fof(f420,plain,
    ssList(sK26),
    inference(cnf_transformation,[],[f279]) ).

fof(f279,plain,
    ( ssList(sK28)
    & sK29 = sK27
    & ssList(sK31)
    & app(app(sK30,sK28),sK31) = sK29
    & ! [X6] :
        ( ~ ssItem(X6)
        | ! [X7] :
            ( ~ ssList(X7)
            | sK31 != app(cons(X6,nil),X7)
            | ! [X8] :
                ( ~ ssList(X8)
                | sK28 != app(X8,cons(X6,nil)) ) ) )
    & ! [X9] :
        ( ! [X10] :
            ( ~ ssList(X10)
            | ! [X11] :
                ( sK28 != app(cons(X9,nil),X11)
                | ~ ssList(X11) )
            | app(X10,cons(X9,nil)) != sK30 )
        | ~ ssItem(X9) )
    & equalelemsP(sK28)
    & ssList(sK30)
    & ssList(sK29)
    & ~ neq(sK26,nil)
    & neq(sK27,nil)
    & ( nil = sK29
      | nil != sK28 )
    & sK28 = sK26
    & ssList(sK27)
    & ssList(sK26) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28,sK29,sK30,sK31])],[f272,f278,f277,f276,f275,f274,f273]) ).

fof(f273,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( X1 = X3
                    & ? [X4] :
                        ( ? [X5] :
                            ( ssList(X5)
                            & app(app(X4,X2),X5) = X3
                            & ! [X6] :
                                ( ~ ssItem(X6)
                                | ! [X7] :
                                    ( ~ ssList(X7)
                                    | app(cons(X6,nil),X7) != X5
                                    | ! [X8] :
                                        ( ~ ssList(X8)
                                        | app(X8,cons(X6,nil)) != X2 ) ) )
                            & ! [X9] :
                                ( ! [X10] :
                                    ( ~ ssList(X10)
                                    | ! [X11] :
                                        ( app(cons(X9,nil),X11) != X2
                                        | ~ ssList(X11) )
                                    | app(X10,cons(X9,nil)) != X4 )
                                | ~ ssItem(X9) )
                            & equalelemsP(X2) )
                        & ssList(X4) )
                    & ssList(X3)
                    & ~ neq(X0,nil)
                    & neq(X1,nil)
                    & ( nil = X3
                      | nil != X2 )
                    & X0 = X2 ) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ? [X4] :
                      ( ? [X5] :
                          ( ssList(X5)
                          & app(app(X4,X2),X5) = X3
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( ~ ssList(X7)
                                  | app(cons(X6,nil),X7) != X5
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | app(X8,cons(X6,nil)) != X2 ) ) )
                          & ! [X9] :
                              ( ! [X10] :
                                  ( ~ ssList(X10)
                                  | ! [X11] :
                                      ( app(cons(X9,nil),X11) != X2
                                      | ~ ssList(X11) )
                                  | app(X10,cons(X9,nil)) != X4 )
                              | ~ ssItem(X9) )
                          & equalelemsP(X2) )
                      & ssList(X4) )
                  & ssList(X3)
                  & ~ neq(sK26,nil)
                  & neq(X1,nil)
                  & ( nil = X3
                    | nil != X2 )
                  & sK26 = X2 ) )
          & ssList(X1) )
      & ssList(sK26) ) ),
    introduced(choice_axiom,[]) ).

fof(f274,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( X1 = X3
                & ? [X4] :
                    ( ? [X5] :
                        ( ssList(X5)
                        & app(app(X4,X2),X5) = X3
                        & ! [X6] :
                            ( ~ ssItem(X6)
                            | ! [X7] :
                                ( ~ ssList(X7)
                                | app(cons(X6,nil),X7) != X5
                                | ! [X8] :
                                    ( ~ ssList(X8)
                                    | app(X8,cons(X6,nil)) != X2 ) ) )
                        & ! [X9] :
                            ( ! [X10] :
                                ( ~ ssList(X10)
                                | ! [X11] :
                                    ( app(cons(X9,nil),X11) != X2
                                    | ~ ssList(X11) )
                                | app(X10,cons(X9,nil)) != X4 )
                            | ~ ssItem(X9) )
                        & equalelemsP(X2) )
                    & ssList(X4) )
                & ssList(X3)
                & ~ neq(sK26,nil)
                & neq(X1,nil)
                & ( nil = X3
                  | nil != X2 )
                & sK26 = X2 ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( sK27 = X3
              & ? [X4] :
                  ( ? [X5] :
                      ( ssList(X5)
                      & app(app(X4,X2),X5) = X3
                      & ! [X6] :
                          ( ~ ssItem(X6)
                          | ! [X7] :
                              ( ~ ssList(X7)
                              | app(cons(X6,nil),X7) != X5
                              | ! [X8] :
                                  ( ~ ssList(X8)
                                  | app(X8,cons(X6,nil)) != X2 ) ) )
                      & ! [X9] :
                          ( ! [X10] :
                              ( ~ ssList(X10)
                              | ! [X11] :
                                  ( app(cons(X9,nil),X11) != X2
                                  | ~ ssList(X11) )
                              | app(X10,cons(X9,nil)) != X4 )
                          | ~ ssItem(X9) )
                      & equalelemsP(X2) )
                  & ssList(X4) )
              & ssList(X3)
              & ~ neq(sK26,nil)
              & neq(sK27,nil)
              & ( nil = X3
                | nil != X2 )
              & sK26 = X2 ) )
      & ssList(sK27) ) ),
    introduced(choice_axiom,[]) ).

fof(f275,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( sK27 = X3
            & ? [X4] :
                ( ? [X5] :
                    ( ssList(X5)
                    & app(app(X4,X2),X5) = X3
                    & ! [X6] :
                        ( ~ ssItem(X6)
                        | ! [X7] :
                            ( ~ ssList(X7)
                            | app(cons(X6,nil),X7) != X5
                            | ! [X8] :
                                ( ~ ssList(X8)
                                | app(X8,cons(X6,nil)) != X2 ) ) )
                    & ! [X9] :
                        ( ! [X10] :
                            ( ~ ssList(X10)
                            | ! [X11] :
                                ( app(cons(X9,nil),X11) != X2
                                | ~ ssList(X11) )
                            | app(X10,cons(X9,nil)) != X4 )
                        | ~ ssItem(X9) )
                    & equalelemsP(X2) )
                & ssList(X4) )
            & ssList(X3)
            & ~ neq(sK26,nil)
            & neq(sK27,nil)
            & ( nil = X3
              | nil != X2 )
            & sK26 = X2 ) )
   => ( ssList(sK28)
      & ? [X3] :
          ( sK27 = X3
          & ? [X4] :
              ( ? [X5] :
                  ( ssList(X5)
                  & app(app(X4,sK28),X5) = X3
                  & ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( ~ ssList(X7)
                          | app(cons(X6,nil),X7) != X5
                          | ! [X8] :
                              ( ~ ssList(X8)
                              | sK28 != app(X8,cons(X6,nil)) ) ) )
                  & ! [X9] :
                      ( ! [X10] :
                          ( ~ ssList(X10)
                          | ! [X11] :
                              ( sK28 != app(cons(X9,nil),X11)
                              | ~ ssList(X11) )
                          | app(X10,cons(X9,nil)) != X4 )
                      | ~ ssItem(X9) )
                  & equalelemsP(sK28) )
              & ssList(X4) )
          & ssList(X3)
          & ~ neq(sK26,nil)
          & neq(sK27,nil)
          & ( nil = X3
            | nil != sK28 )
          & sK28 = sK26 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f276,plain,
    ( ? [X3] :
        ( sK27 = X3
        & ? [X4] :
            ( ? [X5] :
                ( ssList(X5)
                & app(app(X4,sK28),X5) = X3
                & ! [X6] :
                    ( ~ ssItem(X6)
                    | ! [X7] :
                        ( ~ ssList(X7)
                        | app(cons(X6,nil),X7) != X5
                        | ! [X8] :
                            ( ~ ssList(X8)
                            | sK28 != app(X8,cons(X6,nil)) ) ) )
                & ! [X9] :
                    ( ! [X10] :
                        ( ~ ssList(X10)
                        | ! [X11] :
                            ( sK28 != app(cons(X9,nil),X11)
                            | ~ ssList(X11) )
                        | app(X10,cons(X9,nil)) != X4 )
                    | ~ ssItem(X9) )
                & equalelemsP(sK28) )
            & ssList(X4) )
        & ssList(X3)
        & ~ neq(sK26,nil)
        & neq(sK27,nil)
        & ( nil = X3
          | nil != sK28 )
        & sK28 = sK26 )
   => ( sK29 = sK27
      & ? [X4] :
          ( ? [X5] :
              ( ssList(X5)
              & sK29 = app(app(X4,sK28),X5)
              & ! [X6] :
                  ( ~ ssItem(X6)
                  | ! [X7] :
                      ( ~ ssList(X7)
                      | app(cons(X6,nil),X7) != X5
                      | ! [X8] :
                          ( ~ ssList(X8)
                          | sK28 != app(X8,cons(X6,nil)) ) ) )
              & ! [X9] :
                  ( ! [X10] :
                      ( ~ ssList(X10)
                      | ! [X11] :
                          ( sK28 != app(cons(X9,nil),X11)
                          | ~ ssList(X11) )
                      | app(X10,cons(X9,nil)) != X4 )
                  | ~ ssItem(X9) )
              & equalelemsP(sK28) )
          & ssList(X4) )
      & ssList(sK29)
      & ~ neq(sK26,nil)
      & neq(sK27,nil)
      & ( nil = sK29
        | nil != sK28 )
      & sK28 = sK26 ) ),
    introduced(choice_axiom,[]) ).

fof(f277,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ssList(X5)
            & sK29 = app(app(X4,sK28),X5)
            & ! [X6] :
                ( ~ ssItem(X6)
                | ! [X7] :
                    ( ~ ssList(X7)
                    | app(cons(X6,nil),X7) != X5
                    | ! [X8] :
                        ( ~ ssList(X8)
                        | sK28 != app(X8,cons(X6,nil)) ) ) )
            & ! [X9] :
                ( ! [X10] :
                    ( ~ ssList(X10)
                    | ! [X11] :
                        ( sK28 != app(cons(X9,nil),X11)
                        | ~ ssList(X11) )
                    | app(X10,cons(X9,nil)) != X4 )
                | ~ ssItem(X9) )
            & equalelemsP(sK28) )
        & ssList(X4) )
   => ( ? [X5] :
          ( ssList(X5)
          & sK29 = app(app(sK30,sK28),X5)
          & ! [X6] :
              ( ~ ssItem(X6)
              | ! [X7] :
                  ( ~ ssList(X7)
                  | app(cons(X6,nil),X7) != X5
                  | ! [X8] :
                      ( ~ ssList(X8)
                      | sK28 != app(X8,cons(X6,nil)) ) ) )
          & ! [X9] :
              ( ! [X10] :
                  ( ~ ssList(X10)
                  | ! [X11] :
                      ( sK28 != app(cons(X9,nil),X11)
                      | ~ ssList(X11) )
                  | app(X10,cons(X9,nil)) != sK30 )
              | ~ ssItem(X9) )
          & equalelemsP(sK28) )
      & ssList(sK30) ) ),
    introduced(choice_axiom,[]) ).

fof(f278,plain,
    ( ? [X5] :
        ( ssList(X5)
        & sK29 = app(app(sK30,sK28),X5)
        & ! [X6] :
            ( ~ ssItem(X6)
            | ! [X7] :
                ( ~ ssList(X7)
                | app(cons(X6,nil),X7) != X5
                | ! [X8] :
                    ( ~ ssList(X8)
                    | sK28 != app(X8,cons(X6,nil)) ) ) )
        & ! [X9] :
            ( ! [X10] :
                ( ~ ssList(X10)
                | ! [X11] :
                    ( sK28 != app(cons(X9,nil),X11)
                    | ~ ssList(X11) )
                | app(X10,cons(X9,nil)) != sK30 )
            | ~ ssItem(X9) )
        & equalelemsP(sK28) )
   => ( ssList(sK31)
      & app(app(sK30,sK28),sK31) = sK29
      & ! [X6] :
          ( ~ ssItem(X6)
          | ! [X7] :
              ( ~ ssList(X7)
              | sK31 != app(cons(X6,nil),X7)
              | ! [X8] :
                  ( ~ ssList(X8)
                  | sK28 != app(X8,cons(X6,nil)) ) ) )
      & ! [X9] :
          ( ! [X10] :
              ( ~ ssList(X10)
              | ! [X11] :
                  ( sK28 != app(cons(X9,nil),X11)
                  | ~ ssList(X11) )
              | app(X10,cons(X9,nil)) != sK30 )
          | ~ ssItem(X9) )
      & equalelemsP(sK28) ) ),
    introduced(choice_axiom,[]) ).

fof(f272,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ? [X4] :
                      ( ? [X5] :
                          ( ssList(X5)
                          & app(app(X4,X2),X5) = X3
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( ~ ssList(X7)
                                  | app(cons(X6,nil),X7) != X5
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | app(X8,cons(X6,nil)) != X2 ) ) )
                          & ! [X9] :
                              ( ! [X10] :
                                  ( ~ ssList(X10)
                                  | ! [X11] :
                                      ( app(cons(X9,nil),X11) != X2
                                      | ~ ssList(X11) )
                                  | app(X10,cons(X9,nil)) != X4 )
                              | ~ ssItem(X9) )
                          & equalelemsP(X2) )
                      & ssList(X4) )
                  & ssList(X3)
                  & ~ neq(X0,nil)
                  & neq(X1,nil)
                  & ( nil = X3
                    | nil != X2 )
                  & X0 = X2 ) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(rectify,[],[f141]) ).

fof(f141,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ? [X4] :
                      ( ? [X5] :
                          ( ssList(X5)
                          & app(app(X4,X2),X5) = X3
                          & ! [X9] :
                              ( ~ ssItem(X9)
                              | ! [X10] :
                                  ( ~ ssList(X10)
                                  | app(cons(X9,nil),X10) != X5
                                  | ! [X11] :
                                      ( ~ ssList(X11)
                                      | app(X11,cons(X9,nil)) != X2 ) ) )
                          & ! [X6] :
                              ( ! [X7] :
                                  ( ~ ssList(X7)
                                  | ! [X8] :
                                      ( app(cons(X6,nil),X8) != X2
                                      | ~ ssList(X8) )
                                  | app(X7,cons(X6,nil)) != X4 )
                              | ~ ssItem(X6) )
                          & equalelemsP(X2) )
                      & ssList(X4) )
                  & ssList(X3)
                  & ~ neq(X0,nil)
                  & neq(X1,nil)
                  & ( nil = X3
                    | nil != X2 )
                  & X0 = X2 ) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f140]) ).

fof(f140,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( neq(X1,nil)
                  & X1 = X3
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ~ ssList(X7)
                                  | ! [X8] :
                                      ( app(cons(X6,nil),X8) != X2
                                      | ~ ssList(X8) )
                                  | app(X7,cons(X6,nil)) != X4 )
                              | ~ ssItem(X6) )
                          & equalelemsP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ! [X9] :
                              ( ~ ssItem(X9)
                              | ! [X10] :
                                  ( ~ ssList(X10)
                                  | app(cons(X9,nil),X10) != X5
                                  | ! [X11] :
                                      ( ~ ssList(X11)
                                      | app(X11,cons(X9,nil)) != X2 ) ) )
                          & ssList(X5) )
                      & ssList(X4) )
                  & X0 = X2
                  & ~ neq(X0,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(X1,nil)
                      | X1 != X3
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( ? [X6] :
                                    ( ssItem(X6)
                                    & ? [X7] :
                                        ( ssList(X7)
                                        & app(X7,cons(X6,nil)) = X4
                                        & ? [X8] :
                                            ( app(cons(X6,nil),X8) = X2
                                            & ssList(X8) ) ) )
                                | ~ equalelemsP(X2)
                                | app(app(X4,X2),X5) != X3
                                | ? [X9] :
                                    ( ? [X10] :
                                        ( app(cons(X9,nil),X10) = X5
                                        & ? [X11] :
                                            ( ssList(X11)
                                            & app(X11,cons(X9,nil)) = X2 )
                                        & ssList(X10) )
                                    & ssItem(X9) ) ) ) )
                      | X0 != X2
                      | neq(X0,nil)
                      | ( nil = X2
                        & nil != X3 ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f1616,plain,
    ( ~ ssList(sK26)
    | nil = sK26
    | ~ ssList(nil) ),
    inference(resolution,[],[f520,f425]) ).

fof(f425,plain,
    ~ neq(sK26,nil),
    inference(cnf_transformation,[],[f279]) ).

fof(f520,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f324]) ).

fof(f324,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( X0 != X1
          <=> neq(X0,X1) )
          | ~ ssList(X1) ) ),
    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(f1556,plain,
    ( ~ spl61_1
    | ~ spl61_5 ),
    inference(avatar_contradiction_clause,[],[f1555]) ).

fof(f1555,plain,
    ( $false
    | ~ spl61_1
    | ~ spl61_5 ),
    inference(subsumption_resolution,[],[f1553,f611]) ).

fof(f1553,plain,
    ( ~ ssList(nil)
    | ~ spl61_5 ),
    inference(resolution,[],[f1433,f608]) ).

fof(f608,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f591]) ).

fof(f591,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f521]) ).

fof(f521,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f324]) ).

fof(f1433,plain,
    ( neq(nil,nil)
    | ~ spl61_5 ),
    inference(backward_demodulation,[],[f424,f632]) ).

fof(f632,plain,
    ( nil = sK27
    | ~ spl61_5 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f630,plain,
    ( spl61_5
  <=> nil = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_5])]) ).

fof(f424,plain,
    neq(sK27,nil),
    inference(cnf_transformation,[],[f279]) ).

fof(f637,plain,
    ( spl61_5
    | ~ spl61_6 ),
    inference(avatar_split_clause,[],[f571,f634,f630]) ).

fof(f571,plain,
    ( nil != sK26
    | nil = sK27 ),
    inference(definition_unfolding,[],[f423,f433,f422]) ).

fof(f422,plain,
    sK28 = sK26,
    inference(cnf_transformation,[],[f279]) ).

fof(f433,plain,
    sK29 = sK27,
    inference(cnf_transformation,[],[f279]) ).

fof(f423,plain,
    ( nil = sK29
    | nil != sK28 ),
    inference(cnf_transformation,[],[f279]) ).

fof(f627,plain,
    spl61_1,
    inference(avatar_split_clause,[],[f351,f610]) ).

fof(f351,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC213+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 18:36:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.21/0.46  % (30112)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.46  % (30120)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.28/0.52  % (30120)First to succeed.
% 1.28/0.53  % (30120)Refutation found. Thanks to Tanya!
% 1.28/0.53  % SZS status Theorem for theBenchmark
% 1.28/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.53  % (30120)------------------------------
% 1.28/0.53  % (30120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53  % (30120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53  % (30120)Termination reason: Refutation
% 1.28/0.53  
% 1.28/0.53  % (30120)Memory used [KB]: 6652
% 1.28/0.53  % (30120)Time elapsed: 0.119 s
% 1.28/0.53  % (30120)Instructions burned: 47 (million)
% 1.28/0.53  % (30120)------------------------------
% 1.28/0.53  % (30120)------------------------------
% 1.28/0.53  % (30101)Success in time 0.177 s
%------------------------------------------------------------------------------