TSTP Solution File: SWC378+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC378+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 : n003.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 18:40:49 EDT 2022

% Result   : Theorem 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   84 (   9 unt;   0 def)
%            Number of atoms       :  435 (  65 equ)
%            Maximal formula atoms :   30 (   5 avg)
%            Number of connectives :  520 ( 169   ~; 185   |; 142   &)
%                                         (   6 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  112 (  53   !;  59   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f718,plain,
    $false,
    inference(avatar_sat_refutation,[],[f213,f224,f677,f697,f702,f707,f712,f717]) ).

fof(f717,plain,
    ( spl13_1
    | ~ spl13_21 ),
    inference(avatar_contradiction_clause,[],[f716]) ).

fof(f716,plain,
    ( $false
    | spl13_1
    | ~ spl13_21 ),
    inference(subsumption_resolution,[],[f715,f160]) ).

fof(f160,plain,
    ssItem(sK4),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( ssList(sK0)
    & ssList(sK1)
    & ssList(sK2)
    & sK3 = sK1
    & ssItem(sK4)
    & ( memberP(sK0,sK4)
      | memberP(sK1,sK4) )
    & ( ~ memberP(sK1,sK4)
      | ~ memberP(sK0,sK4) )
    & app(sK6,sK5) = sK2
    & sK3 = app(sK5,sK6)
    & ssList(sK6)
    & ssList(sK5)
    & ssList(sK3)
    & sK0 = sK2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f123,f130,f129,f128,f127,f126,f125,f124]) ).

fof(f124,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( X1 = X3
                    & ? [X4] :
                        ( ssItem(X4)
                        & ( memberP(X0,X4)
                          | memberP(X1,X4) )
                        & ( ~ memberP(X1,X4)
                          | ~ memberP(X0,X4) ) )
                    & ? [X5] :
                        ( ? [X6] :
                            ( app(X6,X5) = X2
                            & app(X5,X6) = X3
                            & ssList(X6) )
                        & ssList(X5) )
                    & ssList(X3)
                    & X0 = X2 ) ) ) )
   => ( ssList(sK0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ? [X4] :
                      ( ssItem(X4)
                      & ( memberP(sK0,X4)
                        | memberP(X1,X4) )
                      & ( ~ memberP(X1,X4)
                        | ~ memberP(sK0,X4) ) )
                  & ? [X5] :
                      ( ? [X6] :
                          ( app(X6,X5) = X2
                          & app(X5,X6) = X3
                          & ssList(X6) )
                      & ssList(X5) )
                  & ssList(X3)
                  & sK0 = X2 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( X1 = X3
                & ? [X4] :
                    ( ssItem(X4)
                    & ( memberP(sK0,X4)
                      | memberP(X1,X4) )
                    & ( ~ memberP(X1,X4)
                      | ~ memberP(sK0,X4) ) )
                & ? [X5] :
                    ( ? [X6] :
                        ( app(X6,X5) = X2
                        & app(X5,X6) = X3
                        & ssList(X6) )
                    & ssList(X5) )
                & ssList(X3)
                & sK0 = X2 ) ) )
   => ( ssList(sK1)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( sK1 = X3
              & ? [X4] :
                  ( ssItem(X4)
                  & ( memberP(sK0,X4)
                    | memberP(sK1,X4) )
                  & ( ~ memberP(sK1,X4)
                    | ~ memberP(sK0,X4) ) )
              & ? [X5] :
                  ( ? [X6] :
                      ( app(X6,X5) = X2
                      & app(X5,X6) = X3
                      & ssList(X6) )
                  & ssList(X5) )
              & ssList(X3)
              & sK0 = X2 ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( sK1 = X3
            & ? [X4] :
                ( ssItem(X4)
                & ( memberP(sK0,X4)
                  | memberP(sK1,X4) )
                & ( ~ memberP(sK1,X4)
                  | ~ memberP(sK0,X4) ) )
            & ? [X5] :
                ( ? [X6] :
                    ( app(X6,X5) = X2
                    & app(X5,X6) = X3
                    & ssList(X6) )
                & ssList(X5) )
            & ssList(X3)
            & sK0 = X2 ) )
   => ( ssList(sK2)
      & ? [X3] :
          ( sK1 = X3
          & ? [X4] :
              ( ssItem(X4)
              & ( memberP(sK0,X4)
                | memberP(sK1,X4) )
              & ( ~ memberP(sK1,X4)
                | ~ memberP(sK0,X4) ) )
          & ? [X5] :
              ( ? [X6] :
                  ( app(X6,X5) = sK2
                  & app(X5,X6) = X3
                  & ssList(X6) )
              & ssList(X5) )
          & ssList(X3)
          & sK0 = sK2 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X3] :
        ( sK1 = X3
        & ? [X4] :
            ( ssItem(X4)
            & ( memberP(sK0,X4)
              | memberP(sK1,X4) )
            & ( ~ memberP(sK1,X4)
              | ~ memberP(sK0,X4) ) )
        & ? [X5] :
            ( ? [X6] :
                ( app(X6,X5) = sK2
                & app(X5,X6) = X3
                & ssList(X6) )
            & ssList(X5) )
        & ssList(X3)
        & sK0 = sK2 )
   => ( sK3 = sK1
      & ? [X4] :
          ( ssItem(X4)
          & ( memberP(sK0,X4)
            | memberP(sK1,X4) )
          & ( ~ memberP(sK1,X4)
            | ~ memberP(sK0,X4) ) )
      & ? [X5] :
          ( ? [X6] :
              ( app(X6,X5) = sK2
              & sK3 = app(X5,X6)
              & ssList(X6) )
          & ssList(X5) )
      & ssList(sK3)
      & sK0 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X4] :
        ( ssItem(X4)
        & ( memberP(sK0,X4)
          | memberP(sK1,X4) )
        & ( ~ memberP(sK1,X4)
          | ~ memberP(sK0,X4) ) )
   => ( ssItem(sK4)
      & ( memberP(sK0,sK4)
        | memberP(sK1,sK4) )
      & ( ~ memberP(sK1,sK4)
        | ~ memberP(sK0,sK4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( app(X6,X5) = sK2
            & sK3 = app(X5,X6)
            & ssList(X6) )
        & ssList(X5) )
   => ( ? [X6] :
          ( app(X6,sK5) = sK2
          & app(sK5,X6) = sK3
          & ssList(X6) )
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ( ? [X6] :
        ( app(X6,sK5) = sK2
        & app(sK5,X6) = sK3
        & ssList(X6) )
   => ( app(sK6,sK5) = sK2
      & sK3 = app(sK5,sK6)
      & ssList(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ? [X4] :
                      ( ssItem(X4)
                      & ( memberP(X0,X4)
                        | memberP(X1,X4) )
                      & ( ~ memberP(X1,X4)
                        | ~ memberP(X0,X4) ) )
                  & ? [X5] :
                      ( ? [X6] :
                          ( app(X6,X5) = X2
                          & app(X5,X6) = X3
                          & ssList(X6) )
                      & ssList(X5) )
                  & ssList(X3)
                  & X0 = X2 ) ) ) ),
    inference(rectify,[],[f103]) ).

fof(f103,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ? [X6] :
                      ( ssItem(X6)
                      & ( memberP(X0,X6)
                        | memberP(X1,X6) )
                      & ( ~ memberP(X1,X6)
                        | ~ memberP(X0,X6) ) )
                  & ? [X4] :
                      ( ? [X5] :
                          ( app(X5,X4) = X2
                          & app(X4,X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3)
                  & X0 = X2 ) ) ) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( X0 != X2
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( app(X5,X4) != X2
                            | app(X4,X5) != X3
                            | ~ ssList(X5) ) )
                    | ~ ssList(X3)
                    | ! [X6] :
                        ( ( memberP(X0,X6)
                          & memberP(X1,X6) )
                        | ~ ssItem(X6)
                        | ( ~ memberP(X1,X6)
                          & ~ memberP(X0,X6) ) )
                    | X1 != X3 ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f715,plain,
    ( ~ ssItem(sK4)
    | spl13_1
    | ~ spl13_21 ),
    inference(subsumption_resolution,[],[f714,f208]) ).

fof(f208,plain,
    ( ~ memberP(sK2,sK4)
    | spl13_1 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl13_1
  <=> memberP(sK2,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f714,plain,
    ( memberP(sK2,sK4)
    | ~ ssItem(sK4)
    | ~ spl13_21 ),
    inference(resolution,[],[f676,f293]) ).

fof(f293,plain,
    ! [X9] :
      ( ~ memberP(sK6,X9)
      | ~ ssItem(X9)
      | memberP(sK2,X9) ),
    inference(subsumption_resolution,[],[f292,f154]) ).

fof(f154,plain,
    ssList(sK5),
    inference(cnf_transformation,[],[f131]) ).

fof(f292,plain,
    ! [X9] :
      ( memberP(sK2,X9)
      | ~ ssItem(X9)
      | ~ memberP(sK6,X9)
      | ~ ssList(sK5) ),
    inference(subsumption_resolution,[],[f287,f155]) ).

fof(f155,plain,
    ssList(sK6),
    inference(cnf_transformation,[],[f131]) ).

fof(f287,plain,
    ! [X9] :
      ( ~ ssList(sK6)
      | ~ ssItem(X9)
      | memberP(sK2,X9)
      | ~ memberP(sK6,X9)
      | ~ ssList(sK5) ),
    inference(superposition,[],[f148,f157]) ).

fof(f157,plain,
    app(sK6,sK5) = sK2,
    inference(cnf_transformation,[],[f131]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ ssList(X2)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ memberP(X1,X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ ssList(X2)
              | ( ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) )
                & ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) ) ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ ssList(X2)
              | ( ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) )
                & ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) ) ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ ssList(X2)
              | ( ( memberP(X2,X0)
                  | memberP(X1,X0) )
              <=> memberP(app(X1,X2),X0) ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( memberP(X2,X0)
                  | memberP(X1,X0) )
              <=> memberP(app(X1,X2),X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).

fof(f676,plain,
    ( memberP(sK6,sK4)
    | ~ spl13_21 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f674,plain,
    ( spl13_21
  <=> memberP(sK6,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).

fof(f712,plain,
    ( spl13_1
    | ~ spl13_20 ),
    inference(avatar_contradiction_clause,[],[f711]) ).

fof(f711,plain,
    ( $false
    | spl13_1
    | ~ spl13_20 ),
    inference(subsumption_resolution,[],[f710,f160]) ).

fof(f710,plain,
    ( ~ ssItem(sK4)
    | spl13_1
    | ~ spl13_20 ),
    inference(subsumption_resolution,[],[f708,f208]) ).

fof(f708,plain,
    ( memberP(sK2,sK4)
    | ~ ssItem(sK4)
    | ~ spl13_20 ),
    inference(resolution,[],[f672,f374]) ).

fof(f374,plain,
    ! [X9] :
      ( ~ memberP(sK5,X9)
      | memberP(sK2,X9)
      | ~ ssItem(X9) ),
    inference(subsumption_resolution,[],[f373,f155]) ).

fof(f373,plain,
    ! [X9] :
      ( memberP(sK2,X9)
      | ~ ssList(sK6)
      | ~ ssItem(X9)
      | ~ memberP(sK5,X9) ),
    inference(subsumption_resolution,[],[f366,f154]) ).

fof(f366,plain,
    ! [X9] :
      ( ~ ssItem(X9)
      | ~ ssList(sK5)
      | memberP(sK2,X9)
      | ~ memberP(sK5,X9)
      | ~ ssList(sK6) ),
    inference(superposition,[],[f149,f157]) ).

fof(f149,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f672,plain,
    ( memberP(sK5,sK4)
    | ~ spl13_20 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f670,plain,
    ( spl13_20
  <=> memberP(sK5,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).

fof(f707,plain,
    ( spl13_21
    | spl13_20
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f704,f210,f670,f674]) ).

fof(f210,plain,
    ( spl13_2
  <=> memberP(sK1,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f704,plain,
    ( memberP(sK5,sK4)
    | memberP(sK6,sK4)
    | ~ spl13_2 ),
    inference(subsumption_resolution,[],[f703,f160]) ).

fof(f703,plain,
    ( ~ ssItem(sK4)
    | memberP(sK5,sK4)
    | memberP(sK6,sK4)
    | ~ spl13_2 ),
    inference(resolution,[],[f211,f609]) ).

fof(f609,plain,
    ! [X8] :
      ( ~ memberP(sK1,X8)
      | ~ ssItem(X8)
      | memberP(sK5,X8)
      | memberP(sK6,X8) ),
    inference(subsumption_resolution,[],[f608,f154]) ).

fof(f608,plain,
    ! [X8] :
      ( memberP(sK6,X8)
      | memberP(sK5,X8)
      | ~ ssItem(X8)
      | ~ ssList(sK5)
      | ~ memberP(sK1,X8) ),
    inference(subsumption_resolution,[],[f598,f155]) ).

fof(f598,plain,
    ! [X8] :
      ( memberP(sK5,X8)
      | memberP(sK6,X8)
      | ~ ssItem(X8)
      | ~ ssList(sK6)
      | ~ memberP(sK1,X8)
      | ~ ssList(sK5) ),
    inference(superposition,[],[f150,f197]) ).

fof(f197,plain,
    sK1 = app(sK5,sK6),
    inference(definition_unfolding,[],[f156,f161]) ).

fof(f161,plain,
    sK3 = sK1,
    inference(cnf_transformation,[],[f131]) ).

fof(f156,plain,
    sK3 = app(sK5,sK6),
    inference(cnf_transformation,[],[f131]) ).

fof(f150,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X1,X2),X0)
      | ~ ssItem(X0)
      | memberP(X1,X0)
      | ~ ssList(X1)
      | memberP(X2,X0)
      | ~ ssList(X2) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f211,plain,
    ( memberP(sK1,sK4)
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f702,plain,
    ( spl13_2
    | ~ spl13_21 ),
    inference(avatar_contradiction_clause,[],[f701]) ).

fof(f701,plain,
    ( $false
    | spl13_2
    | ~ spl13_21 ),
    inference(subsumption_resolution,[],[f700,f160]) ).

fof(f700,plain,
    ( ~ ssItem(sK4)
    | spl13_2
    | ~ spl13_21 ),
    inference(subsumption_resolution,[],[f698,f212]) ).

fof(f212,plain,
    ( ~ memberP(sK1,sK4)
    | spl13_2 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f698,plain,
    ( memberP(sK1,sK4)
    | ~ ssItem(sK4)
    | ~ spl13_21 ),
    inference(resolution,[],[f676,f372]) ).

fof(f372,plain,
    ! [X8] :
      ( ~ memberP(sK6,X8)
      | ~ ssItem(X8)
      | memberP(sK1,X8) ),
    inference(subsumption_resolution,[],[f371,f155]) ).

fof(f371,plain,
    ! [X8] :
      ( memberP(sK1,X8)
      | ~ ssItem(X8)
      | ~ memberP(sK6,X8)
      | ~ ssList(sK6) ),
    inference(subsumption_resolution,[],[f365,f154]) ).

fof(f365,plain,
    ! [X8] :
      ( ~ ssList(sK5)
      | ~ ssList(sK6)
      | ~ ssItem(X8)
      | ~ memberP(sK6,X8)
      | memberP(sK1,X8) ),
    inference(superposition,[],[f149,f197]) ).

fof(f697,plain,
    ( spl13_2
    | ~ spl13_20 ),
    inference(avatar_contradiction_clause,[],[f696]) ).

fof(f696,plain,
    ( $false
    | spl13_2
    | ~ spl13_20 ),
    inference(subsumption_resolution,[],[f695,f212]) ).

fof(f695,plain,
    ( memberP(sK1,sK4)
    | ~ spl13_20 ),
    inference(subsumption_resolution,[],[f694,f160]) ).

fof(f694,plain,
    ( ~ ssItem(sK4)
    | memberP(sK1,sK4)
    | ~ spl13_20 ),
    inference(resolution,[],[f672,f295]) ).

fof(f295,plain,
    ! [X8] :
      ( ~ memberP(sK5,X8)
      | memberP(sK1,X8)
      | ~ ssItem(X8) ),
    inference(subsumption_resolution,[],[f294,f154]) ).

fof(f294,plain,
    ! [X8] :
      ( memberP(sK1,X8)
      | ~ memberP(sK5,X8)
      | ~ ssItem(X8)
      | ~ ssList(sK5) ),
    inference(subsumption_resolution,[],[f286,f155]) ).

fof(f286,plain,
    ! [X8] :
      ( ~ ssList(sK6)
      | ~ ssItem(X8)
      | ~ memberP(sK5,X8)
      | memberP(sK1,X8)
      | ~ ssList(sK5) ),
    inference(superposition,[],[f148,f197]) ).

fof(f677,plain,
    ( spl13_20
    | spl13_21
    | ~ spl13_1 ),
    inference(avatar_split_clause,[],[f668,f206,f674,f670]) ).

fof(f668,plain,
    ( memberP(sK6,sK4)
    | memberP(sK5,sK4)
    | ~ spl13_1 ),
    inference(subsumption_resolution,[],[f663,f160]) ).

fof(f663,plain,
    ( memberP(sK6,sK4)
    | memberP(sK5,sK4)
    | ~ ssItem(sK4)
    | ~ spl13_1 ),
    inference(resolution,[],[f611,f207]) ).

fof(f207,plain,
    ( memberP(sK2,sK4)
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f611,plain,
    ! [X9] :
      ( ~ memberP(sK2,X9)
      | memberP(sK6,X9)
      | memberP(sK5,X9)
      | ~ ssItem(X9) ),
    inference(subsumption_resolution,[],[f610,f155]) ).

fof(f610,plain,
    ! [X9] :
      ( ~ memberP(sK2,X9)
      | ~ ssItem(X9)
      | memberP(sK6,X9)
      | ~ ssList(sK6)
      | memberP(sK5,X9) ),
    inference(subsumption_resolution,[],[f599,f154]) ).

fof(f599,plain,
    ! [X9] :
      ( memberP(sK6,X9)
      | ~ ssItem(X9)
      | ~ memberP(sK2,X9)
      | ~ ssList(sK5)
      | ~ ssList(sK6)
      | memberP(sK5,X9) ),
    inference(superposition,[],[f150,f157]) ).

fof(f224,plain,
    ( spl13_2
    | spl13_1 ),
    inference(avatar_split_clause,[],[f195,f206,f210]) ).

fof(f195,plain,
    ( memberP(sK2,sK4)
    | memberP(sK1,sK4) ),
    inference(definition_unfolding,[],[f159,f152]) ).

fof(f152,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f131]) ).

fof(f159,plain,
    ( memberP(sK0,sK4)
    | memberP(sK1,sK4) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f213,plain,
    ( ~ spl13_1
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f196,f210,f206]) ).

fof(f196,plain,
    ( ~ memberP(sK1,sK4)
    | ~ memberP(sK2,sK4) ),
    inference(definition_unfolding,[],[f158,f152]) ).

fof(f158,plain,
    ( ~ memberP(sK1,sK4)
    | ~ memberP(sK0,sK4) ),
    inference(cnf_transformation,[],[f131]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC378+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_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:52:08 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (9998)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)
% 0.20/0.55  % (10014)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)
% 0.20/0.55  % (10006)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)
% 0.20/0.55  % (9999)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)
% 0.20/0.55  % (10006)Instruction limit reached!
% 0.20/0.55  % (10006)------------------------------
% 0.20/0.55  % (10006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (10006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (10006)Termination reason: Unknown
% 0.20/0.55  % (10006)Termination phase: Preprocessing 3
% 0.20/0.55  
% 0.20/0.55  % (10006)Memory used [KB]: 1535
% 0.20/0.55  % (10006)Time elapsed: 0.004 s
% 0.20/0.55  % (10006)Instructions burned: 3 (million)
% 0.20/0.55  % (10006)------------------------------
% 0.20/0.55  % (10006)------------------------------
% 0.20/0.56  % (9994)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56  % (9994)Instruction limit reached!
% 0.20/0.56  % (9994)------------------------------
% 0.20/0.56  % (9994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (9994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (9994)Termination reason: Unknown
% 0.20/0.56  % (9994)Termination phase: Preprocessing 3
% 0.20/0.56  
% 0.20/0.56  % (9994)Memory used [KB]: 1663
% 0.20/0.56  % (9994)Time elapsed: 0.003 s
% 0.20/0.56  % (9994)Instructions burned: 4 (million)
% 0.20/0.56  % (9994)------------------------------
% 0.20/0.56  % (9994)------------------------------
% 0.20/0.56  % (9992)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.56  % (10013)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (10008)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (10007)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)
% 0.20/0.57  % (9998)First to succeed.
% 0.20/0.57  % (10016)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (9997)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.57  % (10021)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.57  % (10007)Instruction limit reached!
% 0.20/0.57  % (10007)------------------------------
% 0.20/0.57  % (10007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (10015)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)
% 0.20/0.57  % (9995)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57  % (10018)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (10012)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.57  % (9998)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Theorem for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (9998)------------------------------
% 0.20/0.58  % (9998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (9998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (9998)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (9998)Memory used [KB]: 6268
% 0.20/0.58  % (9998)Time elapsed: 0.137 s
% 0.20/0.58  % (9998)Instructions burned: 17 (million)
% 0.20/0.58  % (9998)------------------------------
% 0.20/0.58  % (9998)------------------------------
% 0.20/0.58  % (9991)Success in time 0.214 s
%------------------------------------------------------------------------------