TSTP Solution File: RNG093+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG093+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : n011.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 18:15:47 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   72 (   4 unt;   0 def)
%            Number of atoms       :  301 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  339 ( 110   ~;  96   |;  93   &)
%                                         (  13 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   75 (  53   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f349,plain,
    $false,
    inference(avatar_sat_refutation,[],[f208,f213,f218,f219,f236,f245,f264,f310,f339,f348]) ).

fof(f348,plain,
    ( ~ spl16_4
    | spl16_7 ),
    inference(avatar_contradiction_clause,[],[f347]) ).

fof(f347,plain,
    ( $false
    | ~ spl16_4
    | spl16_7 ),
    inference(subsumption_resolution,[],[f346,f217]) ).

fof(f217,plain,
    ( aElement0(sK4)
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl16_4
  <=> aElement0(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).

fof(f346,plain,
    ( ~ aElement0(sK4)
    | spl16_7 ),
    inference(subsumption_resolution,[],[f345,f222]) ).

fof(f222,plain,
    aElementOf0(sK3,xJ),
    inference(resolution,[],[f131,f136]) ).

fof(f136,plain,
    aElementOf0(sK3,sdtasasdt0(xI,xJ)),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & aElementOf0(sK3,sdtasasdt0(xI,xJ))
    & ( ( ~ aElementOf0(sdtasdt0(sK4,sK3),sdtasasdt0(xI,xJ))
        & aElement0(sK4) )
      | ( ~ aElementOf0(sdtpldt0(sK3,sK5),sdtasasdt0(xI,xJ))
        & aElementOf0(sK5,sdtasasdt0(xI,xJ)) ) )
    & ! [X3] :
        ( ( ( aElementOf0(X3,xJ)
            & aElementOf0(X3,xI) )
          | ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) )
        & ( aElementOf0(X3,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X3,xJ)
          | ~ aElementOf0(X3,xI) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f89,f92,f91,f90]) ).

fof(f90,plain,
    ( ? [X0] :
        ( aElementOf0(X0,sdtasasdt0(xI,xJ))
        & ( ? [X1] :
              ( ~ aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))
              & aElement0(X1) )
          | ? [X2] :
              ( ~ aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,xJ))
              & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) ) )
   => ( aElementOf0(sK3,sdtasasdt0(xI,xJ))
      & ( ? [X1] :
            ( ~ aElementOf0(sdtasdt0(X1,sK3),sdtasasdt0(xI,xJ))
            & aElement0(X1) )
        | ? [X2] :
            ( ~ aElementOf0(sdtpldt0(sK3,X2),sdtasasdt0(xI,xJ))
            & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ( ? [X1] :
        ( ~ aElementOf0(sdtasdt0(X1,sK3),sdtasasdt0(xI,xJ))
        & aElement0(X1) )
   => ( ~ aElementOf0(sdtasdt0(sK4,sK3),sdtasasdt0(xI,xJ))
      & aElement0(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ( ? [X2] :
        ( ~ aElementOf0(sdtpldt0(sK3,X2),sdtasasdt0(xI,xJ))
        & aElementOf0(X2,sdtasasdt0(xI,xJ)) )
   => ( ~ aElementOf0(sdtpldt0(sK3,sK5),sdtasasdt0(xI,xJ))
      & aElementOf0(sK5,sdtasasdt0(xI,xJ)) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X0] :
        ( aElementOf0(X0,sdtasasdt0(xI,xJ))
        & ( ? [X1] :
              ( ~ aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ))
              & aElement0(X1) )
          | ? [X2] :
              ( ~ aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,xJ))
              & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) ) )
    & ! [X3] :
        ( ( ( aElementOf0(X3,xJ)
            & aElementOf0(X3,xI) )
          | ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) )
        & ( aElementOf0(X3,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X3,xJ)
          | ~ aElementOf0(X3,xI) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(rectify,[],[f88]) ).

fof(f88,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( aElementOf0(X1,sdtasasdt0(xI,xJ))
        & ( ? [X3] :
              ( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
              & aElement0(X3) )
          | ? [X2] :
              ( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
              & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) ) )
    & ! [X0] :
        ( ( ( aElementOf0(X0,xJ)
            & aElementOf0(X0,xI) )
          | ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) )
        & ( aElementOf0(X0,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X0,xJ)
          | ~ aElementOf0(X0,xI) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( aElementOf0(X1,sdtasasdt0(xI,xJ))
        & ( ? [X3] :
              ( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
              & aElement0(X3) )
          | ? [X2] :
              ( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
              & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) ) )
    & ! [X0] :
        ( ( ( aElementOf0(X0,xJ)
            & aElementOf0(X0,xI) )
          | ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) )
        & ( aElementOf0(X0,sdtasasdt0(xI,xJ))
          | ~ aElementOf0(X0,xJ)
          | ~ aElementOf0(X0,xI) ) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ? [X1] :
        ( aElementOf0(X1,sdtasasdt0(xI,xJ))
        & ( ? [X3] :
              ( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
              & aElement0(X3) )
          | ? [X2] :
              ( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
              & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) ) )
    & ! [X0] :
        ( ( aElementOf0(X0,xJ)
          & aElementOf0(X0,xI) )
      <=> aElementOf0(X0,sdtasasdt0(xI,xJ)) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ( ? [X1] :
        ( aElementOf0(X1,sdtasasdt0(xI,xJ))
        & ( ? [X3] :
              ( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
              & aElement0(X3) )
          | ? [X2] :
              ( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
              & aElementOf0(X2,sdtasasdt0(xI,xJ)) ) ) )
    & ~ aIdeal0(sdtasasdt0(xI,xJ))
    & ! [X0] :
        ( ( aElementOf0(X0,xJ)
          & aElementOf0(X0,xI) )
      <=> aElementOf0(X0,sdtasasdt0(xI,xJ)) )
    & aSet0(sdtasasdt0(xI,xJ)) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ( ( ! [X0] :
            ( ( aElementOf0(X0,xJ)
              & aElementOf0(X0,xI) )
          <=> aElementOf0(X0,sdtasasdt0(xI,xJ)) )
        & aSet0(sdtasasdt0(xI,xJ)) )
     => ( ! [X1] :
            ( aElementOf0(X1,sdtasasdt0(xI,xJ))
           => ( ! [X2] :
                  ( aElementOf0(X2,sdtasasdt0(xI,xJ))
                 => aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) )
              & ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ)) ) ) )
        | aIdeal0(sdtasasdt0(xI,xJ)) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ( ( ! [X0] :
            ( ( aElementOf0(X0,xJ)
              & aElementOf0(X0,xI) )
          <=> aElementOf0(X0,sdtasasdt0(xI,xJ)) )
        & aSet0(sdtasasdt0(xI,xJ)) )
     => ( ! [X0] :
            ( aElementOf0(X0,sdtasasdt0(xI,xJ))
           => ( ! [X1] :
                  ( aElementOf0(X1,sdtasasdt0(xI,xJ))
                 => aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) )
              & ! [X1] :
                  ( aElement0(X1)
                 => aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) ) ) )
        | aIdeal0(sdtasasdt0(xI,xJ)) ) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ( ( ! [X0] :
          ( ( aElementOf0(X0,xJ)
            & aElementOf0(X0,xI) )
        <=> aElementOf0(X0,sdtasasdt0(xI,xJ)) )
      & aSet0(sdtasasdt0(xI,xJ)) )
   => ( ! [X0] :
          ( aElementOf0(X0,sdtasasdt0(xI,xJ))
         => ( ! [X1] :
                ( aElementOf0(X1,sdtasasdt0(xI,xJ))
               => aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) )
            & ! [X1] :
                ( aElement0(X1)
               => aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) ) ) )
      | aIdeal0(sdtasasdt0(xI,xJ)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f131,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
      | aElementOf0(X3,xJ) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f345,plain,
    ( ~ aElementOf0(sK3,xJ)
    | ~ aElement0(sK4)
    | spl16_7 ),
    inference(resolution,[],[f240,f179]) ).

fof(f179,plain,
    ! [X3,X4] :
      ( aElementOf0(sdtasdt0(X4,X3),xJ)
      | ~ aElementOf0(X3,xJ)
      | ~ aElement0(X4) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ( aSet0(xJ)
    & aIdeal0(xI)
    & aSet0(xI)
    & ! [X0] :
        ( ( ! [X1] :
              ( aElementOf0(sdtpldt0(X0,X1),xI)
              | ~ aElementOf0(X1,xI) )
          & ! [X2] :
              ( aElementOf0(sdtasdt0(X2,X0),xI)
              | ~ aElement0(X2) ) )
        | ~ aElementOf0(X0,xI) )
    & ! [X3] :
        ( ( ! [X4] :
              ( ~ aElement0(X4)
              | aElementOf0(sdtasdt0(X4,X3),xJ) )
          & ! [X5] :
              ( aElementOf0(sdtpldt0(X3,X5),xJ)
              | ~ aElementOf0(X5,xJ) ) )
        | ~ aElementOf0(X3,xJ) )
    & aIdeal0(xJ) ),
    inference(rectify,[],[f57]) ).

fof(f57,plain,
    ( aSet0(xJ)
    & aIdeal0(xI)
    & aSet0(xI)
    & ! [X3] :
        ( ( ! [X4] :
              ( aElementOf0(sdtpldt0(X3,X4),xI)
              | ~ aElementOf0(X4,xI) )
          & ! [X5] :
              ( aElementOf0(sdtasdt0(X5,X3),xI)
              | ~ aElement0(X5) ) )
        | ~ aElementOf0(X3,xI) )
    & ! [X0] :
        ( ( ! [X2] :
              ( ~ aElement0(X2)
              | aElementOf0(sdtasdt0(X2,X0),xJ) )
          & ! [X1] :
              ( aElementOf0(sdtpldt0(X0,X1),xJ)
              | ~ aElementOf0(X1,xJ) ) )
        | ~ aElementOf0(X0,xJ) )
    & aIdeal0(xJ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ( aSet0(xJ)
    & ! [X3] :
        ( aElementOf0(X3,xI)
       => ( ! [X5] :
              ( aElement0(X5)
             => aElementOf0(sdtasdt0(X5,X3),xI) )
          & ! [X4] :
              ( aElementOf0(X4,xI)
             => aElementOf0(sdtpldt0(X3,X4),xI) ) ) )
    & aSet0(xI)
    & aIdeal0(xI)
    & ! [X0] :
        ( aElementOf0(X0,xJ)
       => ( ! [X2] :
              ( aElement0(X2)
             => aElementOf0(sdtasdt0(X2,X0),xJ) )
          & ! [X1] :
              ( aElementOf0(X1,xJ)
             => aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
    & aIdeal0(xJ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ( aSet0(xJ)
    & ! [X0] :
        ( aElementOf0(X0,xJ)
       => ( ! [X1] :
              ( aElementOf0(X1,xJ)
             => aElementOf0(sdtpldt0(X0,X1),xJ) )
          & ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xJ) ) ) )
    & aSet0(xI)
    & ! [X0] :
        ( aElementOf0(X0,xI)
       => ( ! [X1] :
              ( aElementOf0(X1,xI)
             => aElementOf0(sdtpldt0(X0,X1),xI) )
          & ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
    & aIdeal0(xJ)
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1150) ).

fof(f240,plain,
    ( ~ aElementOf0(sdtasdt0(sK4,sK3),xJ)
    | spl16_7 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl16_7
  <=> aElementOf0(sdtasdt0(sK4,sK3),xJ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).

fof(f339,plain,
    ( ~ spl16_2
    | spl16_6 ),
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f338,plain,
    ( $false
    | ~ spl16_2
    | spl16_6 ),
    inference(subsumption_resolution,[],[f337,f220]) ).

fof(f220,plain,
    aElementOf0(sK3,xI),
    inference(resolution,[],[f130,f136]) ).

fof(f130,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
      | aElementOf0(X3,xI) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f337,plain,
    ( ~ aElementOf0(sK3,xI)
    | ~ spl16_2
    | spl16_6 ),
    inference(subsumption_resolution,[],[f333,f221]) ).

fof(f221,plain,
    ( aElementOf0(sK5,xI)
    | ~ spl16_2 ),
    inference(resolution,[],[f130,f207]) ).

fof(f207,plain,
    ( aElementOf0(sK5,sdtasasdt0(xI,xJ))
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl16_2
  <=> aElementOf0(sK5,sdtasasdt0(xI,xJ)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

fof(f333,plain,
    ( ~ aElementOf0(sK5,xI)
    | ~ aElementOf0(sK3,xI)
    | spl16_6 ),
    inference(resolution,[],[f181,f235]) ).

fof(f235,plain,
    ( ~ aElementOf0(sdtpldt0(sK3,sK5),xI)
    | spl16_6 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl16_6
  <=> aElementOf0(sdtpldt0(sK3,sK5),xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( aElementOf0(sdtpldt0(X0,X1),xI)
      | ~ aElementOf0(X0,xI)
      | ~ aElementOf0(X1,xI) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f310,plain,
    ( ~ spl16_2
    | spl16_5 ),
    inference(avatar_contradiction_clause,[],[f309]) ).

fof(f309,plain,
    ( $false
    | ~ spl16_2
    | spl16_5 ),
    inference(subsumption_resolution,[],[f308,f223]) ).

fof(f223,plain,
    ( aElementOf0(sK5,xJ)
    | ~ spl16_2 ),
    inference(resolution,[],[f131,f207]) ).

fof(f308,plain,
    ( ~ aElementOf0(sK5,xJ)
    | spl16_5 ),
    inference(subsumption_resolution,[],[f305,f222]) ).

fof(f305,plain,
    ( ~ aElementOf0(sK3,xJ)
    | ~ aElementOf0(sK5,xJ)
    | spl16_5 ),
    inference(resolution,[],[f178,f231]) ).

fof(f231,plain,
    ( ~ aElementOf0(sdtpldt0(sK3,sK5),xJ)
    | spl16_5 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl16_5
  <=> aElementOf0(sdtpldt0(sK3,sK5),xJ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).

fof(f178,plain,
    ! [X3,X5] :
      ( aElementOf0(sdtpldt0(X3,X5),xJ)
      | ~ aElementOf0(X5,xJ)
      | ~ aElementOf0(X3,xJ) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f264,plain,
    ( ~ spl16_4
    | spl16_8 ),
    inference(avatar_split_clause,[],[f263,f242,f215]) ).

fof(f242,plain,
    ( spl16_8
  <=> aElementOf0(sdtasdt0(sK4,sK3),xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).

fof(f263,plain,
    ( ~ aElement0(sK4)
    | spl16_8 ),
    inference(subsumption_resolution,[],[f260,f220]) ).

fof(f260,plain,
    ( ~ aElementOf0(sK3,xI)
    | ~ aElement0(sK4)
    | spl16_8 ),
    inference(resolution,[],[f180,f244]) ).

fof(f244,plain,
    ( ~ aElementOf0(sdtasdt0(sK4,sK3),xI)
    | spl16_8 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f180,plain,
    ! [X2,X0] :
      ( aElementOf0(sdtasdt0(X2,X0),xI)
      | ~ aElement0(X2)
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f245,plain,
    ( ~ spl16_7
    | ~ spl16_8
    | spl16_1 ),
    inference(avatar_split_clause,[],[f224,f201,f242,f238]) ).

fof(f201,plain,
    ( spl16_1
  <=> aElementOf0(sdtasdt0(sK4,sK3),sdtasasdt0(xI,xJ)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f224,plain,
    ( ~ aElementOf0(sdtasdt0(sK4,sK3),xI)
    | ~ aElementOf0(sdtasdt0(sK4,sK3),xJ)
    | spl16_1 ),
    inference(resolution,[],[f129,f203]) ).

fof(f203,plain,
    ( ~ aElementOf0(sdtasdt0(sK4,sK3),sdtasasdt0(xI,xJ))
    | spl16_1 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f129,plain,
    ! [X3] :
      ( aElementOf0(X3,sdtasasdt0(xI,xJ))
      | ~ aElementOf0(X3,xJ)
      | ~ aElementOf0(X3,xI) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f236,plain,
    ( ~ spl16_5
    | ~ spl16_6
    | spl16_3 ),
    inference(avatar_split_clause,[],[f225,f210,f233,f229]) ).

fof(f210,plain,
    ( spl16_3
  <=> aElementOf0(sdtpldt0(sK3,sK5),sdtasasdt0(xI,xJ)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

fof(f225,plain,
    ( ~ aElementOf0(sdtpldt0(sK3,sK5),xI)
    | ~ aElementOf0(sdtpldt0(sK3,sK5),xJ)
    | spl16_3 ),
    inference(resolution,[],[f129,f212]) ).

fof(f212,plain,
    ( ~ aElementOf0(sdtpldt0(sK3,sK5),sdtasasdt0(xI,xJ))
    | spl16_3 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f219,plain,
    ( ~ spl16_3
    | spl16_4 ),
    inference(avatar_split_clause,[],[f133,f215,f210]) ).

fof(f133,plain,
    ( aElement0(sK4)
    | ~ aElementOf0(sdtpldt0(sK3,sK5),sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f218,plain,
    ( spl16_4
    | spl16_2 ),
    inference(avatar_split_clause,[],[f132,f205,f215]) ).

fof(f132,plain,
    ( aElementOf0(sK5,sdtasasdt0(xI,xJ))
    | aElement0(sK4) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f213,plain,
    ( ~ spl16_1
    | ~ spl16_3 ),
    inference(avatar_split_clause,[],[f135,f210,f201]) ).

fof(f135,plain,
    ( ~ aElementOf0(sdtpldt0(sK3,sK5),sdtasasdt0(xI,xJ))
    | ~ aElementOf0(sdtasdt0(sK4,sK3),sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f208,plain,
    ( ~ spl16_1
    | spl16_2 ),
    inference(avatar_split_clause,[],[f134,f205,f201]) ).

fof(f134,plain,
    ( aElementOf0(sK5,sdtasasdt0(xI,xJ))
    | ~ aElementOf0(sdtasdt0(sK4,sK3),sdtasasdt0(xI,xJ)) ),
    inference(cnf_transformation,[],[f93]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : RNG093+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % 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 : n011.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 12:03:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (9081)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50  % (9062)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (9073)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.50  % (9070)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  % (9078)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51  % (9065)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (9053)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (9075)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52  % (9054)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (9067)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (9060)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (9055)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (9057)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (9060)Instruction limit reached!
% 0.19/0.53  % (9060)------------------------------
% 0.19/0.53  % (9060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9058)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53  % (9056)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (9060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9060)Termination reason: Unknown
% 0.19/0.53  % (9060)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (9060)Memory used [KB]: 5628
% 0.19/0.53  % (9060)Time elapsed: 0.125 s
% 0.19/0.53  % (9060)Instructions burned: 7 (million)
% 0.19/0.53  % (9060)------------------------------
% 0.19/0.53  % (9060)------------------------------
% 0.19/0.53  % (9073)First to succeed.
% 0.19/0.53  % (9073)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (9073)------------------------------
% 0.19/0.53  % (9073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9073)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (9073)Memory used [KB]: 5756
% 0.19/0.53  % (9073)Time elapsed: 0.132 s
% 0.19/0.53  % (9073)Instructions burned: 14 (million)
% 0.19/0.53  % (9073)------------------------------
% 0.19/0.53  % (9073)------------------------------
% 0.19/0.53  % (9052)Success in time 0.184 s
%------------------------------------------------------------------------------