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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC213+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 May  1 04:00:39 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   40 (  12 unt;   0 def)
%            Number of atoms       :  434 ( 162 equ)
%            Maximal formula atoms :   48 (  10 avg)
%            Number of connectives :  612 ( 218   ~; 176   |; 188   &)
%                                         (   4 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  182 ( 116   !;  66   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f247,plain,
    $false,
    inference(avatar_sat_refutation,[],[f219,f238,f246]) ).

fof(f246,plain,
    ( ~ spl14_1
    | ~ spl14_2 ),
    inference(avatar_contradiction_clause,[],[f245]) ).

fof(f245,plain,
    ( $false
    | ~ spl14_1
    | ~ spl14_2 ),
    inference(subsumption_resolution,[],[f242,f240]) ).

fof(f240,plain,
    ( neq(nil,nil)
    | ~ spl14_1 ),
    inference(superposition,[],[f200,f214]) ).

fof(f214,plain,
    ( nil = sK3
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f212,plain,
    ( spl14_1
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f200,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f154,f152]) ).

fof(f152,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ( nil != sK2
      | nil = sK3 )
    & ~ neq(sK0,nil)
    & ! [X6] :
        ( ! [X7] :
            ( ! [X8] :
                ( app(X8,cons(X6,nil)) != sK2
                | ~ ssList(X8) )
            | app(cons(X6,nil),X7) != sK5
            | ~ ssList(X7) )
        | ~ ssItem(X6) )
    & ! [X9] :
        ( ! [X10] :
            ( ! [X11] :
                ( app(cons(X9,nil),X11) != sK2
                | ~ ssList(X11) )
            | app(X10,cons(X9,nil)) != sK4
            | ~ ssList(X10) )
        | ~ ssItem(X9) )
    & equalelemsP(sK2)
    & sK3 = app(app(sK4,sK2),sK5)
    & ssList(sK5)
    & ssList(sK4)
    & neq(sK1,nil)
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f100,f129,f128,f127,f126,f125,f124]) ).

fof(f124,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(sK0,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)
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( nil != X2
                  | nil = X3 )
                & ~ neq(sK0,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)
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( nil != X2
                | nil = X3 )
              & ~ neq(sK0,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(sK1,nil)
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( nil != X2
              | nil = X3 )
            & ~ neq(sK0,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(sK1,nil)
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( nil != sK2
            | nil = X3 )
          & ~ neq(sK0,nil)
          & ? [X4] :
              ( ? [X5] :
                  ( ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( app(X8,cons(X6,nil)) != sK2
                              | ~ ssList(X8) )
                          | app(cons(X6,nil),X7) != X5
                          | ~ ssList(X7) )
                      | ~ ssItem(X6) )
                  & ! [X9] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( app(cons(X9,nil),X11) != sK2
                              | ~ ssList(X11) )
                          | app(X10,cons(X9,nil)) != X4
                          | ~ ssList(X10) )
                      | ~ ssItem(X9) )
                  & equalelemsP(sK2)
                  & app(app(X4,sK2),X5) = X3
                  & ssList(X5) )
              & ssList(X4) )
          & neq(sK1,nil)
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X3] :
        ( ( nil != sK2
          | nil = X3 )
        & ~ neq(sK0,nil)
        & ? [X4] :
            ( ? [X5] :
                ( ! [X6] :
                    ( ! [X7] :
                        ( ! [X8] :
                            ( app(X8,cons(X6,nil)) != sK2
                            | ~ ssList(X8) )
                        | app(cons(X6,nil),X7) != X5
                        | ~ ssList(X7) )
                    | ~ ssItem(X6) )
                & ! [X9] :
                    ( ! [X10] :
                        ( ! [X11] :
                            ( app(cons(X9,nil),X11) != sK2
                            | ~ ssList(X11) )
                        | app(X10,cons(X9,nil)) != X4
                        | ~ ssList(X10) )
                    | ~ ssItem(X9) )
                & equalelemsP(sK2)
                & app(app(X4,sK2),X5) = X3
                & ssList(X5) )
            & ssList(X4) )
        & neq(sK1,nil)
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( nil != sK2
        | nil = sK3 )
      & ~ neq(sK0,nil)
      & ? [X4] :
          ( ? [X5] :
              ( ! [X6] :
                  ( ! [X7] :
                      ( ! [X8] :
                          ( app(X8,cons(X6,nil)) != sK2
                          | ~ ssList(X8) )
                      | app(cons(X6,nil),X7) != X5
                      | ~ ssList(X7) )
                  | ~ ssItem(X6) )
              & ! [X9] :
                  ( ! [X10] :
                      ( ! [X11] :
                          ( app(cons(X9,nil),X11) != sK2
                          | ~ ssList(X11) )
                      | app(X10,cons(X9,nil)) != X4
                      | ~ ssList(X10) )
                  | ~ ssItem(X9) )
              & equalelemsP(sK2)
              & app(app(X4,sK2),X5) = sK3
              & ssList(X5) )
          & ssList(X4) )
      & neq(sK1,nil)
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( app(X8,cons(X6,nil)) != sK2
                        | ~ ssList(X8) )
                    | app(cons(X6,nil),X7) != X5
                    | ~ ssList(X7) )
                | ~ ssItem(X6) )
            & ! [X9] :
                ( ! [X10] :
                    ( ! [X11] :
                        ( app(cons(X9,nil),X11) != sK2
                        | ~ ssList(X11) )
                    | app(X10,cons(X9,nil)) != X4
                    | ~ ssList(X10) )
                | ~ ssItem(X9) )
            & equalelemsP(sK2)
            & app(app(X4,sK2),X5) = sK3
            & ssList(X5) )
        & ssList(X4) )
   => ( ? [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( app(X8,cons(X6,nil)) != sK2
                      | ~ ssList(X8) )
                  | app(cons(X6,nil),X7) != X5
                  | ~ ssList(X7) )
              | ~ ssItem(X6) )
          & ! [X9] :
              ( ! [X10] :
                  ( ! [X11] :
                      ( app(cons(X9,nil),X11) != sK2
                      | ~ ssList(X11) )
                  | app(X10,cons(X9,nil)) != sK4
                  | ~ ssList(X10) )
              | ~ ssItem(X9) )
          & equalelemsP(sK2)
          & sK3 = app(app(sK4,sK2),X5)
          & ssList(X5) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ? [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( app(X8,cons(X6,nil)) != sK2
                    | ~ ssList(X8) )
                | app(cons(X6,nil),X7) != X5
                | ~ ssList(X7) )
            | ~ ssItem(X6) )
        & ! [X9] :
            ( ! [X10] :
                ( ! [X11] :
                    ( app(cons(X9,nil),X11) != sK2
                    | ~ ssList(X11) )
                | app(X10,cons(X9,nil)) != sK4
                | ~ ssList(X10) )
            | ~ ssItem(X9) )
        & equalelemsP(sK2)
        & sK3 = app(app(sK4,sK2),X5)
        & ssList(X5) )
   => ( ! [X6] :
          ( ! [X7] :
              ( ! [X8] :
                  ( app(X8,cons(X6,nil)) != sK2
                  | ~ ssList(X8) )
              | app(cons(X6,nil),X7) != sK5
              | ~ ssList(X7) )
          | ~ ssItem(X6) )
      & ! [X9] :
          ( ! [X10] :
              ( ! [X11] :
                  ( app(cons(X9,nil),X11) != sK2
                  | ~ ssList(X11) )
              | app(X10,cons(X9,nil)) != sK4
              | ~ ssList(X10) )
          | ~ ssItem(X9) )
      & equalelemsP(sK2)
      & sK3 = app(app(sK4,sK2),sK5)
      & ssList(sK5) ) ),
    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/tmp/tmp.6TpLgIGjmV/Vampire---4.8_18886',co1) ).

fof(f154,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f130]) ).

fof(f242,plain,
    ( ~ neq(nil,nil)
    | ~ spl14_2 ),
    inference(superposition,[],[f199,f217]) ).

fof(f217,plain,
    ( nil = sK2
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl14_2
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f199,plain,
    ~ neq(sK2,nil),
    inference(definition_unfolding,[],[f161,f153]) ).

fof(f153,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f130]) ).

fof(f161,plain,
    ~ neq(sK0,nil),
    inference(cnf_transformation,[],[f130]) ).

fof(f238,plain,
    spl14_2,
    inference(avatar_split_clause,[],[f237,f216]) ).

fof(f237,plain,
    nil = sK2,
    inference(subsumption_resolution,[],[f236,f150]) ).

fof(f150,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f130]) ).

fof(f236,plain,
    ( nil = sK2
    | ~ ssList(sK2) ),
    inference(subsumption_resolution,[],[f221,f189]) ).

fof(f189,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.6TpLgIGjmV/Vampire---4.8_18886',ax17) ).

fof(f221,plain,
    ( nil = sK2
    | ~ ssList(nil)
    | ~ ssList(sK2) ),
    inference(resolution,[],[f199,f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f119,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/tmp/tmp.6TpLgIGjmV/Vampire---4.8_18886',ax15) ).

fof(f219,plain,
    ( spl14_1
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f162,f216,f212]) ).

fof(f162,plain,
    ( nil != sK2
    | nil = sK3 ),
    inference(cnf_transformation,[],[f130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWC213+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n015.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:41:03 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.6TpLgIGjmV/Vampire---4.8_18886
% 0.54/0.75  % (19147)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.54/0.75  % (19141)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.75  % (19143)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (19142)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.75  % (19146)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.75  % (19144)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.75  % (19148)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.75  % (19145)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.76  % (19146)First to succeed.
% 0.60/0.76  % (19143)Also succeeded, but the first one will report.
% 0.60/0.76  % (19146)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (19146)------------------------------
% 0.60/0.76  % (19146)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (19146)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (19146)Memory used [KB]: 1152
% 0.60/0.76  % (19146)Time elapsed: 0.006 s
% 0.60/0.76  % (19146)Instructions burned: 8 (million)
% 0.60/0.76  % (19146)------------------------------
% 0.60/0.76  % (19146)------------------------------
% 0.60/0.76  % (19136)Success in time 0.383 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------