TSTP Solution File: RNG112+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% 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 : n014.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 : Sun May  5 08:54:19 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   98 (   6 unt;   0 def)
%            Number of atoms       :  668 ( 196 equ)
%            Maximal formula atoms :   34 (   6 avg)
%            Number of connectives :  833 ( 263   ~; 222   |; 301   &)
%                                         (  23 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  12 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  10 con; 0-2 aty)
%            Number of variables   :  275 ( 148   !; 127   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f825,plain,
    $false,
    inference(avatar_sat_refutation,[],[f419,f428,f438,f443,f448,f452,f733,f738,f803,f806,f824]) ).

fof(f824,plain,
    ( ~ spl48_24
    | ~ spl48_25 ),
    inference(avatar_contradiction_clause,[],[f823]) ).

fof(f823,plain,
    ( $false
    | ~ spl48_24
    | ~ spl48_25 ),
    inference(subsumption_resolution,[],[f820,f732]) ).

fof(f732,plain,
    ( sP3(sK22)
    | ~ spl48_24 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl48_24
  <=> sP3(sK22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_24])]) ).

fof(f820,plain,
    ( ~ sP3(sK22)
    | ~ spl48_25 ),
    inference(trivial_inequality_removal,[],[f818]) ).

fof(f818,plain,
    ( sz00 != sz00
    | ~ sP3(sK22)
    | ~ spl48_25 ),
    inference(superposition,[],[f287,f798]) ).

fof(f798,plain,
    ( sz00 = sK25(sK22)
    | ~ spl48_25 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl48_25
  <=> sz00 = sK25(sK22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_25])]) ).

fof(f287,plain,
    ! [X0] :
      ( sz00 != sK25(X0)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ( iLess0(sbrdtbr0(sK25(X0)),sbrdtbr0(X0))
        & sz00 != sK25(X0)
        & aElementOf0(sK25(X0),xI)
        & sK25(X0) = sdtpldt0(sK26(X0),sK27(X0))
        & aElementOf0(sK27(X0),slsdtgt0(xb))
        & aElementOf0(sK26(X0),slsdtgt0(xa)) )
      | ~ sP3(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f159,f161,f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ? [X1] :
          ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
          & sz00 != X1
          & aElementOf0(X1,xI)
          & ? [X2,X3] :
              ( sdtpldt0(X2,X3) = X1
              & aElementOf0(X3,slsdtgt0(xb))
              & aElementOf0(X2,slsdtgt0(xa)) ) )
     => ( iLess0(sbrdtbr0(sK25(X0)),sbrdtbr0(X0))
        & sz00 != sK25(X0)
        & aElementOf0(sK25(X0),xI)
        & ? [X3,X2] :
            ( sdtpldt0(X2,X3) = sK25(X0)
            & aElementOf0(X3,slsdtgt0(xb))
            & aElementOf0(X2,slsdtgt0(xa)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ! [X0] :
      ( ? [X3,X2] :
          ( sdtpldt0(X2,X3) = sK25(X0)
          & aElementOf0(X3,slsdtgt0(xb))
          & aElementOf0(X2,slsdtgt0(xa)) )
     => ( sK25(X0) = sdtpldt0(sK26(X0),sK27(X0))
        & aElementOf0(sK27(X0),slsdtgt0(xb))
        & aElementOf0(sK26(X0),slsdtgt0(xa)) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ! [X0] :
      ( ? [X1] :
          ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
          & sz00 != X1
          & aElementOf0(X1,xI)
          & ? [X2,X3] :
              ( sdtpldt0(X2,X3) = X1
              & aElementOf0(X3,slsdtgt0(xb))
              & aElementOf0(X2,slsdtgt0(xa)) ) )
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ? [X1] :
          ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
          & sz00 != X1
          & aElementOf0(X1,xI)
          & ? [X2,X3] :
              ( sdtpldt0(X2,X3) = X1
              & aElementOf0(X3,slsdtgt0(xb))
              & aElementOf0(X2,slsdtgt0(xa)) ) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f806,plain,
    ( ~ spl48_24
    | spl48_26 ),
    inference(avatar_contradiction_clause,[],[f805]) ).

fof(f805,plain,
    ( $false
    | ~ spl48_24
    | spl48_26 ),
    inference(subsumption_resolution,[],[f804,f732]) ).

fof(f804,plain,
    ( ~ sP3(sK22)
    | spl48_26 ),
    inference(resolution,[],[f802,f286]) ).

fof(f286,plain,
    ! [X0] :
      ( aElementOf0(sK25(X0),xI)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f802,plain,
    ( ~ aElementOf0(sK25(sK22),xI)
    | spl48_26 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f800,plain,
    ( spl48_26
  <=> aElementOf0(sK25(sK22),xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_26])]) ).

fof(f803,plain,
    ( spl48_25
    | ~ spl48_26
    | ~ spl48_4
    | ~ spl48_24 ),
    inference(avatar_split_clause,[],[f794,f730,f417,f800,f796]) ).

fof(f417,plain,
    ( spl48_4
  <=> ! [X1] :
        ( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK22))
        | ~ aElementOf0(X1,xI)
        | sz00 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_4])]) ).

fof(f794,plain,
    ( ~ aElementOf0(sK25(sK22),xI)
    | sz00 = sK25(sK22)
    | ~ spl48_4
    | ~ spl48_24 ),
    inference(subsumption_resolution,[],[f793,f732]) ).

fof(f793,plain,
    ( ~ aElementOf0(sK25(sK22),xI)
    | sz00 = sK25(sK22)
    | ~ sP3(sK22)
    | ~ spl48_4 ),
    inference(resolution,[],[f418,f288]) ).

fof(f288,plain,
    ! [X0] :
      ( iLess0(sbrdtbr0(sK25(X0)),sbrdtbr0(X0))
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f418,plain,
    ( ! [X1] :
        ( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK22))
        | ~ aElementOf0(X1,xI)
        | sz00 = X1 )
    | ~ spl48_4 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f738,plain,
    ~ spl48_11,
    inference(avatar_contradiction_clause,[],[f737]) ).

fof(f737,plain,
    ( $false
    | ~ spl48_11 ),
    inference(subsumption_resolution,[],[f734,f273]) ).

fof(f273,plain,
    sz00 != sK17,
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( sz00 != sK17
    & aElementOf0(sK17,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
    & sK17 = sdtpldt0(sK18,sK19)
    & aElementOf0(sK19,slsdtgt0(xb))
    & aElementOf0(sK18,slsdtgt0(xa))
    & ! [X3] :
        ( ( aElementOf0(X3,slsdtgt0(xb))
          | ! [X4] :
              ( sdtasdt0(xb,X4) != X3
              | ~ aElement0(X4) ) )
        & ( ( sdtasdt0(xb,sK20(X3)) = X3
            & aElement0(sK20(X3)) )
          | ~ aElementOf0(X3,slsdtgt0(xb)) ) )
    & ! [X6] :
        ( ( aElementOf0(X6,slsdtgt0(xa))
          | ! [X7] :
              ( sdtasdt0(xa,X7) != X6
              | ~ aElement0(X7) ) )
        & ( ( sdtasdt0(xa,sK21(X6)) = X6
            & aElement0(sK21(X6)) )
          | ~ aElementOf0(X6,slsdtgt0(xa)) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21])],[f148,f152,f151,f150,f149]) ).

fof(f149,plain,
    ( ? [X0] :
        ( sz00 != X0
        & aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
        & ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) )
        & ! [X3] :
            ( ( aElementOf0(X3,slsdtgt0(xb))
              | ! [X4] :
                  ( sdtasdt0(xb,X4) != X3
                  | ~ aElement0(X4) ) )
            & ( ? [X5] :
                  ( sdtasdt0(xb,X5) = X3
                  & aElement0(X5) )
              | ~ aElementOf0(X3,slsdtgt0(xb)) ) )
        & ! [X6] :
            ( ( aElementOf0(X6,slsdtgt0(xa))
              | ! [X7] :
                  ( sdtasdt0(xa,X7) != X6
                  | ~ aElement0(X7) ) )
            & ( ? [X8] :
                  ( sdtasdt0(xa,X8) = X6
                  & aElement0(X8) )
              | ~ aElementOf0(X6,slsdtgt0(xa)) ) ) )
   => ( sz00 != sK17
      & aElementOf0(sK17,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & ? [X2,X1] :
          ( sdtpldt0(X1,X2) = sK17
          & aElementOf0(X2,slsdtgt0(xb))
          & aElementOf0(X1,slsdtgt0(xa)) )
      & ! [X3] :
          ( ( aElementOf0(X3,slsdtgt0(xb))
            | ! [X4] :
                ( sdtasdt0(xb,X4) != X3
                | ~ aElement0(X4) ) )
          & ( ? [X5] :
                ( sdtasdt0(xb,X5) = X3
                & aElement0(X5) )
            | ~ aElementOf0(X3,slsdtgt0(xb)) ) )
      & ! [X6] :
          ( ( aElementOf0(X6,slsdtgt0(xa))
            | ! [X7] :
                ( sdtasdt0(xa,X7) != X6
                | ~ aElement0(X7) ) )
          & ( ? [X8] :
                ( sdtasdt0(xa,X8) = X6
                & aElement0(X8) )
            | ~ aElementOf0(X6,slsdtgt0(xa)) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ( ? [X2,X1] :
        ( sdtpldt0(X1,X2) = sK17
        & aElementOf0(X2,slsdtgt0(xb))
        & aElementOf0(X1,slsdtgt0(xa)) )
   => ( sK17 = sdtpldt0(sK18,sK19)
      & aElementOf0(sK19,slsdtgt0(xb))
      & aElementOf0(sK18,slsdtgt0(xa)) ) ),
    introduced(choice_axiom,[]) ).

fof(f151,plain,
    ! [X3] :
      ( ? [X5] :
          ( sdtasdt0(xb,X5) = X3
          & aElement0(X5) )
     => ( sdtasdt0(xb,sK20(X3)) = X3
        & aElement0(sK20(X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f152,plain,
    ! [X6] :
      ( ? [X8] :
          ( sdtasdt0(xa,X8) = X6
          & aElement0(X8) )
     => ( sdtasdt0(xa,sK21(X6)) = X6
        & aElement0(sK21(X6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ? [X0] :
      ( sz00 != X0
      & aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & ? [X1,X2] :
          ( sdtpldt0(X1,X2) = X0
          & aElementOf0(X2,slsdtgt0(xb))
          & aElementOf0(X1,slsdtgt0(xa)) )
      & ! [X3] :
          ( ( aElementOf0(X3,slsdtgt0(xb))
            | ! [X4] :
                ( sdtasdt0(xb,X4) != X3
                | ~ aElement0(X4) ) )
          & ( ? [X5] :
                ( sdtasdt0(xb,X5) = X3
                & aElement0(X5) )
            | ~ aElementOf0(X3,slsdtgt0(xb)) ) )
      & ! [X6] :
          ( ( aElementOf0(X6,slsdtgt0(xa))
            | ! [X7] :
                ( sdtasdt0(xa,X7) != X6
                | ~ aElement0(X7) ) )
          & ( ? [X8] :
                ( sdtasdt0(xa,X8) = X6
                & aElement0(X8) )
            | ~ aElementOf0(X6,slsdtgt0(xa)) ) ) ),
    inference(rectify,[],[f147]) ).

fof(f147,plain,
    ? [X0] :
      ( sz00 != X0
      & aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & ? [X1,X2] :
          ( sdtpldt0(X1,X2) = X0
          & aElementOf0(X2,slsdtgt0(xb))
          & aElementOf0(X1,slsdtgt0(xa)) )
      & ! [X3] :
          ( ( aElementOf0(X3,slsdtgt0(xb))
            | ! [X4] :
                ( sdtasdt0(xb,X4) != X3
                | ~ aElement0(X4) ) )
          & ( ? [X4] :
                ( sdtasdt0(xb,X4) = X3
                & aElement0(X4) )
            | ~ aElementOf0(X3,slsdtgt0(xb)) ) )
      & ! [X5] :
          ( ( aElementOf0(X5,slsdtgt0(xa))
            | ! [X6] :
                ( sdtasdt0(xa,X6) != X5
                | ~ aElement0(X6) ) )
          & ( ? [X6] :
                ( sdtasdt0(xa,X6) = X5
                & aElement0(X6) )
            | ~ aElementOf0(X5,slsdtgt0(xa)) ) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ? [X0] :
      ( sz00 != X0
      & aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & ? [X1,X2] :
          ( sdtpldt0(X1,X2) = X0
          & aElementOf0(X2,slsdtgt0(xb))
          & aElementOf0(X1,slsdtgt0(xa)) )
      & ! [X3] :
          ( aElementOf0(X3,slsdtgt0(xb))
        <=> ? [X4] :
              ( sdtasdt0(xb,X4) = X3
              & aElement0(X4) ) )
      & ! [X5] :
          ( aElementOf0(X5,slsdtgt0(xa))
        <=> ? [X6] :
              ( sdtasdt0(xa,X6) = X5
              & aElement0(X6) ) ) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ? [X0] :
      ( sz00 != X0
      & aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
      & ? [X1,X2] :
          ( sdtpldt0(X1,X2) = X0
          & aElementOf0(X2,slsdtgt0(xb))
          & aElementOf0(X1,slsdtgt0(xa)) )
      & ! [X1] :
          ( aElementOf0(X1,slsdtgt0(xb))
        <=> ? [X2] :
              ( sdtasdt0(xb,X2) = X1
              & aElement0(X2) ) )
      & ! [X1] :
          ( aElementOf0(X1,slsdtgt0(xa))
        <=> ? [X2] :
              ( sdtasdt0(xa,X2) = X1
              & aElement0(X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e6UgtuuosN/Vampire---4.8_3338',m__2228) ).

fof(f734,plain,
    ( sz00 = sK17
    | ~ spl48_11 ),
    inference(resolution,[],[f451,f411]) ).

fof(f411,plain,
    aElementOf0(sK17,xI),
    inference(forward_demodulation,[],[f272,f250]) ).

fof(f250,plain,
    xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( ( aElementOf0(X0,xI)
          | ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        & ( ( sdtpldt0(sK9(X0),sK10(X0)) = X0
            & aElementOf0(sK10(X0),slsdtgt0(xb))
            & aElementOf0(sK9(X0),slsdtgt0(xa)) )
          | ~ aElementOf0(X0,xI) ) )
    & ! [X5] :
        ( ( aElementOf0(X5,slsdtgt0(xb))
          | ! [X6] :
              ( sdtasdt0(xb,X6) != X5
              | ~ aElement0(X6) ) )
        & ( ( sdtasdt0(xb,sK11(X5)) = X5
            & aElement0(sK11(X5)) )
          | ~ aElementOf0(X5,slsdtgt0(xb)) ) )
    & ! [X8] :
        ( ( aElementOf0(X8,slsdtgt0(xa))
          | ! [X9] :
              ( sdtasdt0(xa,X9) != X8
              | ~ aElement0(X9) ) )
        & ( ( sdtasdt0(xa,sK12(X8)) = X8
            & aElement0(sK12(X8)) )
          | ~ aElementOf0(X8,slsdtgt0(xa)) ) )
    & aIdeal0(xI)
    & ! [X11] :
        ( ( ! [X12] :
              ( aElementOf0(sdtasdt0(X12,X11),xI)
              | ~ aElement0(X12) )
          & ! [X13] :
              ( aElementOf0(sdtpldt0(X11,X13),xI)
              | ~ aElementOf0(X13,xI) ) )
        | ~ aElementOf0(X11,xI) )
    & aSet0(xI) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f137,f140,f139,f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ? [X3,X4] :
          ( sdtpldt0(X3,X4) = X0
          & aElementOf0(X4,slsdtgt0(xb))
          & aElementOf0(X3,slsdtgt0(xa)) )
     => ( sdtpldt0(sK9(X0),sK10(X0)) = X0
        & aElementOf0(sK10(X0),slsdtgt0(xb))
        & aElementOf0(sK9(X0),slsdtgt0(xa)) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ! [X5] :
      ( ? [X7] :
          ( sdtasdt0(xb,X7) = X5
          & aElement0(X7) )
     => ( sdtasdt0(xb,sK11(X5)) = X5
        & aElement0(sK11(X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ! [X8] :
      ( ? [X10] :
          ( sdtasdt0(xa,X10) = X8
          & aElement0(X10) )
     => ( sdtasdt0(xa,sK12(X8)) = X8
        & aElement0(sK12(X8)) ) ),
    introduced(choice_axiom,[]) ).

fof(f137,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( ( aElementOf0(X0,xI)
          | ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        & ( ? [X3,X4] :
              ( sdtpldt0(X3,X4) = X0
              & aElementOf0(X4,slsdtgt0(xb))
              & aElementOf0(X3,slsdtgt0(xa)) )
          | ~ aElementOf0(X0,xI) ) )
    & ! [X5] :
        ( ( aElementOf0(X5,slsdtgt0(xb))
          | ! [X6] :
              ( sdtasdt0(xb,X6) != X5
              | ~ aElement0(X6) ) )
        & ( ? [X7] :
              ( sdtasdt0(xb,X7) = X5
              & aElement0(X7) )
          | ~ aElementOf0(X5,slsdtgt0(xb)) ) )
    & ! [X8] :
        ( ( aElementOf0(X8,slsdtgt0(xa))
          | ! [X9] :
              ( sdtasdt0(xa,X9) != X8
              | ~ aElement0(X9) ) )
        & ( ? [X10] :
              ( sdtasdt0(xa,X10) = X8
              & aElement0(X10) )
          | ~ aElementOf0(X8,slsdtgt0(xa)) ) )
    & aIdeal0(xI)
    & ! [X11] :
        ( ( ! [X12] :
              ( aElementOf0(sdtasdt0(X12,X11),xI)
              | ~ aElement0(X12) )
          & ! [X13] :
              ( aElementOf0(sdtpldt0(X11,X13),xI)
              | ~ aElementOf0(X13,xI) ) )
        | ~ aElementOf0(X11,xI) )
    & aSet0(xI) ),
    inference(rectify,[],[f136]) ).

fof(f136,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( ( aElementOf0(X0,xI)
          | ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        & ( ? [X1,X2] :
              ( sdtpldt0(X1,X2) = X0
              & aElementOf0(X2,slsdtgt0(xb))
              & aElementOf0(X1,slsdtgt0(xa)) )
          | ~ aElementOf0(X0,xI) ) )
    & ! [X3] :
        ( ( aElementOf0(X3,slsdtgt0(xb))
          | ! [X4] :
              ( sdtasdt0(xb,X4) != X3
              | ~ aElement0(X4) ) )
        & ( ? [X4] :
              ( sdtasdt0(xb,X4) = X3
              & aElement0(X4) )
          | ~ aElementOf0(X3,slsdtgt0(xb)) ) )
    & ! [X5] :
        ( ( aElementOf0(X5,slsdtgt0(xa))
          | ! [X6] :
              ( sdtasdt0(xa,X6) != X5
              | ~ aElement0(X6) ) )
        & ( ? [X6] :
              ( sdtasdt0(xa,X6) = X5
              & aElement0(X6) )
          | ~ aElementOf0(X5,slsdtgt0(xa)) ) )
    & aIdeal0(xI)
    & ! [X7] :
        ( ( ! [X8] :
              ( aElementOf0(sdtasdt0(X8,X7),xI)
              | ~ aElement0(X8) )
          & ! [X9] :
              ( aElementOf0(sdtpldt0(X7,X9),xI)
              | ~ aElementOf0(X9,xI) ) )
        | ~ aElementOf0(X7,xI) )
    & aSet0(xI) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( aElementOf0(X0,xI)
      <=> ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) ) )
    & ! [X3] :
        ( aElementOf0(X3,slsdtgt0(xb))
      <=> ? [X4] :
            ( sdtasdt0(xb,X4) = X3
            & aElement0(X4) ) )
    & ! [X5] :
        ( aElementOf0(X5,slsdtgt0(xa))
      <=> ? [X6] :
            ( sdtasdt0(xa,X6) = X5
            & aElement0(X6) ) )
    & aIdeal0(xI)
    & ! [X7] :
        ( ( ! [X8] :
              ( aElementOf0(sdtasdt0(X8,X7),xI)
              | ~ aElement0(X8) )
          & ! [X9] :
              ( aElementOf0(sdtpldt0(X7,X9),xI)
              | ~ aElementOf0(X9,xI) ) )
        | ~ aElementOf0(X7,xI) )
    & aSet0(xI) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( aElementOf0(X0,xI)
      <=> ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) ) )
    & ! [X3] :
        ( aElementOf0(X3,slsdtgt0(xb))
      <=> ? [X4] :
            ( sdtasdt0(xb,X4) = X3
            & aElement0(X4) ) )
    & ! [X5] :
        ( aElementOf0(X5,slsdtgt0(xa))
      <=> ? [X6] :
            ( sdtasdt0(xa,X6) = X5
            & aElement0(X6) ) )
    & aIdeal0(xI)
    & ! [X7] :
        ( aElementOf0(X7,xI)
       => ( ! [X8] :
              ( aElement0(X8)
             => aElementOf0(sdtasdt0(X8,X7),xI) )
          & ! [X9] :
              ( aElementOf0(X9,xI)
             => aElementOf0(sdtpldt0(X7,X9),xI) ) ) )
    & aSet0(xI) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( aElementOf0(X0,xI)
      <=> ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) ) )
    & ! [X0] :
        ( aElementOf0(X0,slsdtgt0(xb))
      <=> ? [X1] :
            ( sdtasdt0(xb,X1) = X0
            & aElement0(X1) ) )
    & ! [X0] :
        ( aElementOf0(X0,slsdtgt0(xa))
      <=> ? [X1] :
            ( sdtasdt0(xa,X1) = X0
            & aElement0(X1) ) )
    & aIdeal0(xI)
    & ! [X0] :
        ( aElementOf0(X0,xI)
       => ( ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xI) )
          & ! [X1] :
              ( aElementOf0(X1,xI)
             => aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
    & aSet0(xI) ),
    file('/export/starexec/sandbox/tmp/tmp.e6UgtuuosN/Vampire---4.8_3338',m__2174) ).

fof(f272,plain,
    aElementOf0(sK17,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
    inference(cnf_transformation,[],[f153]) ).

fof(f451,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,xI)
        | sz00 = X0 )
    | ~ spl48_11 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl48_11
  <=> ! [X0] :
        ( sz00 = X0
        | ~ aElementOf0(X0,xI) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_11])]) ).

fof(f733,plain,
    ( ~ spl48_9
    | spl48_24
    | spl48_6
    | ~ spl48_8
    | ~ spl48_10 ),
    inference(avatar_split_clause,[],[f728,f445,f435,f425,f730,f440]) ).

fof(f440,plain,
    ( spl48_9
  <=> aElementOf0(sK24,slsdtgt0(xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_9])]) ).

fof(f425,plain,
    ( spl48_6
  <=> sz00 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_6])]) ).

fof(f435,plain,
    ( spl48_8
  <=> sK22 = sdtpldt0(sK23,sK24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_8])]) ).

fof(f445,plain,
    ( spl48_10
  <=> aElementOf0(sK23,slsdtgt0(xa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_10])]) ).

fof(f728,plain,
    ( sP3(sK22)
    | ~ aElementOf0(sK24,slsdtgt0(xb))
    | spl48_6
    | ~ spl48_8
    | ~ spl48_10 ),
    inference(subsumption_resolution,[],[f463,f447]) ).

fof(f447,plain,
    ( aElementOf0(sK23,slsdtgt0(xa))
    | ~ spl48_10 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f463,plain,
    ( sP3(sK22)
    | ~ aElementOf0(sK24,slsdtgt0(xb))
    | ~ aElementOf0(sK23,slsdtgt0(xa))
    | spl48_6
    | ~ spl48_8 ),
    inference(subsumption_resolution,[],[f462,f427]) ).

fof(f427,plain,
    ( sz00 != sK22
    | spl48_6 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f462,plain,
    ( sP3(sK22)
    | sz00 = sK22
    | ~ aElementOf0(sK24,slsdtgt0(xb))
    | ~ aElementOf0(sK23,slsdtgt0(xa))
    | ~ spl48_8 ),
    inference(superposition,[],[f389,f437]) ).

fof(f437,plain,
    ( sK22 = sdtpldt0(sK23,sK24)
    | ~ spl48_8 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f389,plain,
    ! [X2,X1] :
      ( sP3(sdtpldt0(X1,X2))
      | sz00 = sdtpldt0(X1,X2)
      | ~ aElementOf0(X2,slsdtgt0(xb))
      | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(equality_resolution,[],[f289]) ).

fof(f289,plain,
    ! [X2,X0,X1] :
      ( sP3(X0)
      | sz00 = X0
      | sdtpldt0(X1,X2) != X0
      | ~ aElementOf0(X2,slsdtgt0(xb))
      | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,plain,
    ! [X0] :
      ( sP3(X0)
      | sz00 = X0
      | ( ~ aElementOf0(X0,xI)
        & ! [X1,X2] :
            ( sdtpldt0(X1,X2) != X0
            | ~ aElementOf0(X2,slsdtgt0(xb))
            | ~ aElementOf0(X1,slsdtgt0(xa)) ) ) ),
    inference(rectify,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( sP3(X0)
      | sz00 = X0
      | ( ~ aElementOf0(X0,xI)
        & ! [X4,X5] :
            ( sdtpldt0(X4,X5) != X0
            | ~ aElementOf0(X5,slsdtgt0(xb))
            | ~ aElementOf0(X4,slsdtgt0(xa)) ) ) ),
    inference(definition_folding,[],[f68,f123]) ).

fof(f68,plain,
    ! [X0] :
      ( ? [X1] :
          ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
          & sz00 != X1
          & aElementOf0(X1,xI)
          & ? [X2,X3] :
              ( sdtpldt0(X2,X3) = X1
              & aElementOf0(X3,slsdtgt0(xb))
              & aElementOf0(X2,slsdtgt0(xa)) ) )
      | sz00 = X0
      | ( ~ aElementOf0(X0,xI)
        & ! [X4,X5] :
            ( sdtpldt0(X4,X5) != X0
            | ~ aElementOf0(X5,slsdtgt0(xb))
            | ~ aElementOf0(X4,slsdtgt0(xa)) ) ) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ? [X1] :
          ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
          & sz00 != X1
          & aElementOf0(X1,xI)
          & ? [X2,X3] :
              ( sdtpldt0(X2,X3) = X1
              & aElementOf0(X3,slsdtgt0(xb))
              & aElementOf0(X2,slsdtgt0(xa)) ) )
      | sz00 = X0
      | ( ~ aElementOf0(X0,xI)
        & ! [X4,X5] :
            ( sdtpldt0(X4,X5) != X0
            | ~ aElementOf0(X5,slsdtgt0(xb))
            | ~ aElementOf0(X4,slsdtgt0(xa)) ) ) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ~ ? [X0] :
        ( ! [X1] :
            ( ( sz00 != X1
              & aElementOf0(X1,xI)
              & ? [X2,X3] :
                  ( sdtpldt0(X2,X3) = X1
                  & aElementOf0(X3,slsdtgt0(xb))
                  & aElementOf0(X2,slsdtgt0(xa)) ) )
           => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
        & sz00 != X0
        & ( aElementOf0(X0,xI)
          | ? [X4,X5] :
              ( sdtpldt0(X4,X5) = X0
              & aElementOf0(X5,slsdtgt0(xb))
              & aElementOf0(X4,slsdtgt0(xa)) ) ) ),
    inference(rectify,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ? [X0] :
        ( ! [X1] :
            ( ( sz00 != X1
              & aElementOf0(X1,xI)
              & ? [X2,X3] :
                  ( sdtpldt0(X2,X3) = X1
                  & aElementOf0(X3,slsdtgt0(xb))
                  & aElementOf0(X2,slsdtgt0(xa)) ) )
           => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
        & sz00 != X0
        & ( aElementOf0(X0,xI)
          | ? [X1,X2] :
              ( sdtpldt0(X1,X2) = X0
              & aElementOf0(X2,slsdtgt0(xb))
              & aElementOf0(X1,slsdtgt0(xa)) ) ) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ? [X0] :
      ( ! [X1] :
          ( ( sz00 != X1
            & aElementOf0(X1,xI)
            & ? [X2,X3] :
                ( sdtpldt0(X2,X3) = X1
                & aElementOf0(X3,slsdtgt0(xb))
                & aElementOf0(X2,slsdtgt0(xa)) ) )
         => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
      & sz00 != X0
      & ( aElementOf0(X0,xI)
        | ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e6UgtuuosN/Vampire---4.8_3338',m__) ).

fof(f452,plain,
    ( spl48_11
    | spl48_3 ),
    inference(avatar_split_clause,[],[f282,f413,f450]) ).

fof(f413,plain,
    ( spl48_3
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl48_3])]) ).

fof(f282,plain,
    ! [X0] :
      ( sP2
      | sz00 = X0
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( sP2
      | sz00 = X0
      | ( ~ aElementOf0(X0,xI)
        & ! [X1,X2] :
            ( sdtpldt0(X1,X2) != X0
            | ~ aElementOf0(X2,slsdtgt0(xb))
            | ~ aElementOf0(X1,slsdtgt0(xa)) ) ) ),
    inference(definition_folding,[],[f66,f121]) ).

fof(f121,plain,
    ( ? [X3] :
        ( ! [X4] :
            ( ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3))
            | sz00 = X4
            | ( ~ aElementOf0(X4,xI)
              & ! [X5,X6] :
                  ( sdtpldt0(X5,X6) != X4
                  | ~ aElementOf0(X6,slsdtgt0(xb))
                  | ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
        & sz00 != X3
        & aElementOf0(X3,xI)
        & ? [X7,X8] :
            ( sdtpldt0(X7,X8) = X3
            & aElementOf0(X8,slsdtgt0(xb))
            & aElementOf0(X7,slsdtgt0(xa)) ) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f66,plain,
    ! [X0] :
      ( ? [X3] :
          ( ! [X4] :
              ( ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3))
              | sz00 = X4
              | ( ~ aElementOf0(X4,xI)
                & ! [X5,X6] :
                    ( sdtpldt0(X5,X6) != X4
                    | ~ aElementOf0(X6,slsdtgt0(xb))
                    | ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
          & sz00 != X3
          & aElementOf0(X3,xI)
          & ? [X7,X8] :
              ( sdtpldt0(X7,X8) = X3
              & aElementOf0(X8,slsdtgt0(xb))
              & aElementOf0(X7,slsdtgt0(xa)) ) )
      | sz00 = X0
      | ( ~ aElementOf0(X0,xI)
        & ! [X1,X2] :
            ( sdtpldt0(X1,X2) != X0
            | ~ aElementOf0(X2,slsdtgt0(xb))
            | ~ aElementOf0(X1,slsdtgt0(xa)) ) ) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ? [X3] :
          ( ! [X4] :
              ( ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3))
              | sz00 = X4
              | ( ~ aElementOf0(X4,xI)
                & ! [X5,X6] :
                    ( sdtpldt0(X5,X6) != X4
                    | ~ aElementOf0(X6,slsdtgt0(xb))
                    | ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
          & sz00 != X3
          & aElementOf0(X3,xI)
          & ? [X7,X8] :
              ( sdtpldt0(X7,X8) = X3
              & aElementOf0(X8,slsdtgt0(xb))
              & aElementOf0(X7,slsdtgt0(xa)) ) )
      | sz00 = X0
      | ( ~ aElementOf0(X0,xI)
        & ! [X1,X2] :
            ( sdtpldt0(X1,X2) != X0
            | ~ aElementOf0(X2,slsdtgt0(xb))
            | ~ aElementOf0(X1,slsdtgt0(xa)) ) ) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ( sz00 != X0
        & ( aElementOf0(X0,xI)
          | ? [X1,X2] :
              ( sdtpldt0(X1,X2) = X0
              & aElementOf0(X2,slsdtgt0(xb))
              & aElementOf0(X1,slsdtgt0(xa)) ) ) )
     => ? [X3] :
          ( ! [X4] :
              ( ( sz00 != X4
                & ( aElementOf0(X4,xI)
                  | ? [X5,X6] :
                      ( sdtpldt0(X5,X6) = X4
                      & aElementOf0(X6,slsdtgt0(xb))
                      & aElementOf0(X5,slsdtgt0(xa)) ) ) )
             => ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3)) )
          & sz00 != X3
          & aElementOf0(X3,xI)
          & ? [X7,X8] :
              ( sdtpldt0(X7,X8) = X3
              & aElementOf0(X8,slsdtgt0(xb))
              & aElementOf0(X7,slsdtgt0(xa)) ) ) ),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X0] :
      ( ( sz00 != X0
        & ( aElementOf0(X0,xI)
          | ? [X1,X2] :
              ( sdtpldt0(X1,X2) = X0
              & aElementOf0(X2,slsdtgt0(xb))
              & aElementOf0(X1,slsdtgt0(xa)) ) ) )
     => ? [X1] :
          ( ! [X2] :
              ( ( sz00 != X2
                & ( aElementOf0(X2,xI)
                  | ? [X3,X4] :
                      ( sdtpldt0(X3,X4) = X2
                      & aElementOf0(X4,slsdtgt0(xb))
                      & aElementOf0(X3,slsdtgt0(xa)) ) ) )
             => ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) )
          & sz00 != X1
          & aElementOf0(X1,xI)
          & ? [X2,X3] :
              ( sdtpldt0(X2,X3) = X1
              & aElementOf0(X3,slsdtgt0(xb))
              & aElementOf0(X2,slsdtgt0(xa)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e6UgtuuosN/Vampire---4.8_3338',m__2351) ).

fof(f448,plain,
    ( ~ spl48_3
    | spl48_10 ),
    inference(avatar_split_clause,[],[f274,f445,f413]) ).

fof(f274,plain,
    ( aElementOf0(sK23,slsdtgt0(xa))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ( ( ! [X1] :
          ( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK22))
          | sz00 = X1
          | ( ~ aElementOf0(X1,xI)
            & ! [X2,X3] :
                ( sdtpldt0(X2,X3) != X1
                | ~ aElementOf0(X3,slsdtgt0(xb))
                | ~ aElementOf0(X2,slsdtgt0(xa)) ) ) )
      & sz00 != sK22
      & aElementOf0(sK22,xI)
      & sK22 = sdtpldt0(sK23,sK24)
      & aElementOf0(sK24,slsdtgt0(xb))
      & aElementOf0(sK23,slsdtgt0(xa)) )
    | ~ sP2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24])],[f155,f157,f156]) ).

fof(f156,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
            | sz00 = X1
            | ( ~ aElementOf0(X1,xI)
              & ! [X2,X3] :
                  ( sdtpldt0(X2,X3) != X1
                  | ~ aElementOf0(X3,slsdtgt0(xb))
                  | ~ aElementOf0(X2,slsdtgt0(xa)) ) ) )
        & sz00 != X0
        & aElementOf0(X0,xI)
        & ? [X4,X5] :
            ( sdtpldt0(X4,X5) = X0
            & aElementOf0(X5,slsdtgt0(xb))
            & aElementOf0(X4,slsdtgt0(xa)) ) )
   => ( ! [X1] :
          ( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK22))
          | sz00 = X1
          | ( ~ aElementOf0(X1,xI)
            & ! [X2,X3] :
                ( sdtpldt0(X2,X3) != X1
                | ~ aElementOf0(X3,slsdtgt0(xb))
                | ~ aElementOf0(X2,slsdtgt0(xa)) ) ) )
      & sz00 != sK22
      & aElementOf0(sK22,xI)
      & ? [X5,X4] :
          ( sdtpldt0(X4,X5) = sK22
          & aElementOf0(X5,slsdtgt0(xb))
          & aElementOf0(X4,slsdtgt0(xa)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ( ? [X5,X4] :
        ( sdtpldt0(X4,X5) = sK22
        & aElementOf0(X5,slsdtgt0(xb))
        & aElementOf0(X4,slsdtgt0(xa)) )
   => ( sK22 = sdtpldt0(sK23,sK24)
      & aElementOf0(sK24,slsdtgt0(xb))
      & aElementOf0(sK23,slsdtgt0(xa)) ) ),
    introduced(choice_axiom,[]) ).

fof(f155,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
            | sz00 = X1
            | ( ~ aElementOf0(X1,xI)
              & ! [X2,X3] :
                  ( sdtpldt0(X2,X3) != X1
                  | ~ aElementOf0(X3,slsdtgt0(xb))
                  | ~ aElementOf0(X2,slsdtgt0(xa)) ) ) )
        & sz00 != X0
        & aElementOf0(X0,xI)
        & ? [X4,X5] :
            ( sdtpldt0(X4,X5) = X0
            & aElementOf0(X5,slsdtgt0(xb))
            & aElementOf0(X4,slsdtgt0(xa)) ) )
    | ~ sP2 ),
    inference(rectify,[],[f154]) ).

fof(f154,plain,
    ( ? [X3] :
        ( ! [X4] :
            ( ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3))
            | sz00 = X4
            | ( ~ aElementOf0(X4,xI)
              & ! [X5,X6] :
                  ( sdtpldt0(X5,X6) != X4
                  | ~ aElementOf0(X6,slsdtgt0(xb))
                  | ~ aElementOf0(X5,slsdtgt0(xa)) ) ) )
        & sz00 != X3
        & aElementOf0(X3,xI)
        & ? [X7,X8] :
            ( sdtpldt0(X7,X8) = X3
            & aElementOf0(X8,slsdtgt0(xb))
            & aElementOf0(X7,slsdtgt0(xa)) ) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f121]) ).

fof(f443,plain,
    ( ~ spl48_3
    | spl48_9 ),
    inference(avatar_split_clause,[],[f275,f440,f413]) ).

fof(f275,plain,
    ( aElementOf0(sK24,slsdtgt0(xb))
    | ~ sP2 ),
    inference(cnf_transformation,[],[f158]) ).

fof(f438,plain,
    ( ~ spl48_3
    | spl48_8 ),
    inference(avatar_split_clause,[],[f276,f435,f413]) ).

fof(f276,plain,
    ( sK22 = sdtpldt0(sK23,sK24)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f158]) ).

fof(f428,plain,
    ( ~ spl48_3
    | ~ spl48_6 ),
    inference(avatar_split_clause,[],[f278,f425,f413]) ).

fof(f278,plain,
    ( sz00 != sK22
    | ~ sP2 ),
    inference(cnf_transformation,[],[f158]) ).

fof(f419,plain,
    ( ~ spl48_3
    | spl48_4 ),
    inference(avatar_split_clause,[],[f280,f417,f413]) ).

fof(f280,plain,
    ! [X1] :
      ( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK22))
      | sz00 = X1
      | ~ aElementOf0(X1,xI)
      | ~ sP2 ),
    inference(cnf_transformation,[],[f158]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % 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 : n014.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   : Fri May  3 18:15:08 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.e6UgtuuosN/Vampire---4.8_3338
% 0.56/0.75  % (3772)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)
% 0.56/0.75  % (3766)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)
% 0.56/0.75  % (3768)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (3767)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)
% 0.56/0.75  % (3769)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)
% 0.56/0.75  % (3771)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)
% 0.56/0.75  % (3770)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)
% 0.56/0.75  % (3773)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)
% 0.56/0.77  % (3769)Instruction limit reached!
% 0.56/0.77  % (3769)------------------------------
% 0.56/0.77  % (3769)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (3769)Termination reason: Unknown
% 0.56/0.77  % (3769)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (3769)Memory used [KB]: 1815
% 0.56/0.77  % (3769)Time elapsed: 0.019 s
% 0.56/0.77  % (3769)Instructions burned: 33 (million)
% 0.56/0.77  % (3769)------------------------------
% 0.56/0.77  % (3769)------------------------------
% 0.60/0.77  % (3768)First to succeed.
% 0.60/0.77  % (3770)Instruction limit reached!
% 0.60/0.77  % (3770)------------------------------
% 0.60/0.77  % (3770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (3770)Termination reason: Unknown
% 0.60/0.77  % (3770)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (3770)Memory used [KB]: 1859
% 0.60/0.77  % (3770)Time elapsed: 0.021 s
% 0.60/0.77  % (3770)Instructions burned: 34 (million)
% 0.60/0.77  % (3770)------------------------------
% 0.60/0.77  % (3770)------------------------------
% 0.60/0.77  % (3766)Instruction limit reached!
% 0.60/0.77  % (3766)------------------------------
% 0.60/0.77  % (3766)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (3766)Termination reason: Unknown
% 0.60/0.77  % (3766)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (3766)Memory used [KB]: 1595
% 0.60/0.77  % (3766)Time elapsed: 0.022 s
% 0.60/0.77  % (3766)Instructions burned: 34 (million)
% 0.60/0.77  % (3766)------------------------------
% 0.60/0.77  % (3766)------------------------------
% 0.60/0.77  % (3772)Instruction limit reached!
% 0.60/0.77  % (3772)------------------------------
% 0.60/0.77  % (3772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (3772)Termination reason: Unknown
% 0.60/0.77  % (3772)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (3772)Memory used [KB]: 2157
% 0.60/0.77  % (3772)Time elapsed: 0.024 s
% 0.60/0.77  % (3772)Instructions burned: 86 (million)
% 0.60/0.77  % (3772)------------------------------
% 0.60/0.77  % (3772)------------------------------
% 0.60/0.77  % (3787)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.77  % (3768)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3617"
% 0.60/0.77  % (3768)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Theorem for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78  % (3768)------------------------------
% 0.60/0.78  % (3768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (3768)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (3768)Memory used [KB]: 1481
% 0.60/0.78  % (3768)Time elapsed: 0.023 s
% 0.60/0.78  % (3768)Instructions burned: 37 (million)
% 0.60/0.78  % (3617)Success in time 0.403 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------