TSTP Solution File: RNG099+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG099+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 08:54:13 EDT 2024

% Result   : Theorem 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   90 (  21 unt;   0 def)
%            Number of atoms       :  283 (   3 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  318 ( 125   ~; 116   |;  53   &)
%                                         (  10 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :   89 (  71   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f605,plain,
    $false,
    inference(avatar_sat_refutation,[],[f425,f460,f464,f483,f604]) ).

fof(f604,plain,
    ( ~ spl12_14
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[],[f603]) ).

fof(f603,plain,
    ( $false
    | ~ spl12_14
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f602,f419]) ).

fof(f419,plain,
    ( aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)))
    | ~ spl12_14 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl12_14
  <=> aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).

fof(f602,plain,
    ( ~ aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)))
    | ~ spl12_14
    | ~ spl12_15 ),
    inference(subsumption_resolution,[],[f601,f424]) ).

fof(f424,plain,
    ( sdteqdtlpzmzozddtrp0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xx,xI)
    | ~ spl12_15 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f422,plain,
    ( spl12_15
  <=> sdteqdtlpzmzozddtrp0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xx,xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).

fof(f601,plain,
    ( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xx,xI)
    | ~ aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)))
    | ~ spl12_14 ),
    inference(resolution,[],[f547,f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
      | ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
      | ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,negated_conjecture,
    ~ ? [X0] :
        ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
        & sdteqdtlpzmzozddtrp0(X0,xx,xI)
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f35]) ).

fof(f35,conjecture,
    ? [X0] :
      ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
      & sdteqdtlpzmzozddtrp0(X0,xx,xI)
      & aElement0(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',m__) ).

fof(f547,plain,
    ( sdteqdtlpzmzozddtrp0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xy,xJ)
    | ~ spl12_14 ),
    inference(subsumption_resolution,[],[f546,f419]) ).

fof(f546,plain,
    ( sdteqdtlpzmzozddtrp0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xy,xJ)
    | ~ aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb))) ),
    inference(subsumption_resolution,[],[f545,f101]) ).

fof(f101,plain,
    aElement0(xy),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ( aElement0(xy)
    & aElement0(xx) ),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',m__1217) ).

fof(f545,plain,
    ( sdteqdtlpzmzozddtrp0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xy,xJ)
    | ~ aElement0(xy)
    | ~ aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb))) ),
    inference(subsumption_resolution,[],[f540,f98]) ).

fof(f98,plain,
    aIdeal0(xJ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( aIdeal0(xJ)
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',m__1205) ).

fof(f540,plain,
    ( sdteqdtlpzmzozddtrp0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xy,xJ)
    | ~ aIdeal0(xJ)
    | ~ aElement0(xy)
    | ~ aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb))) ),
    inference(resolution,[],[f163,f148]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
      | sdteqdtlpzmzozddtrp0(X0,X1,X2)
      | ~ aIdeal0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
          | ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
        & ( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
          | ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
      | ~ aIdeal0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
      | ~ aIdeal0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
      | ~ aIdeal0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1,X2] :
      ( ( aIdeal0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',mDefMod) ).

fof(f163,plain,
    aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),smndt0(xy)),xJ),
    inference(forward_demodulation,[],[f107,f105]) ).

fof(f105,plain,
    xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',m__1319) ).

fof(f107,plain,
    aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',m__1409) ).

fof(f483,plain,
    ( spl12_14
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(avatar_contradiction_clause,[],[f482]) ).

fof(f482,plain,
    ( $false
    | spl12_14
    | ~ spl12_16
    | ~ spl12_17 ),
    inference(subsumption_resolution,[],[f481,f431]) ).

fof(f431,plain,
    ( aElement0(sdtasdt0(xy,xa))
    | ~ spl12_16 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl12_16
  <=> aElement0(sdtasdt0(xy,xa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).

fof(f481,plain,
    ( ~ aElement0(sdtasdt0(xy,xa))
    | spl12_14
    | ~ spl12_17 ),
    inference(subsumption_resolution,[],[f480,f435]) ).

fof(f435,plain,
    ( aElement0(sdtasdt0(xx,xb))
    | ~ spl12_17 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f434,plain,
    ( spl12_17
  <=> aElement0(sdtasdt0(xx,xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).

fof(f480,plain,
    ( ~ aElement0(sdtasdt0(xx,xb))
    | ~ aElement0(sdtasdt0(xy,xa))
    | spl12_14 ),
    inference(resolution,[],[f420,f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => aElement0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',mSortsB) ).

fof(f420,plain,
    ( ~ aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)))
    | spl12_14 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f464,plain,
    spl12_17,
    inference(avatar_contradiction_clause,[],[f463]) ).

fof(f463,plain,
    ( $false
    | spl12_17 ),
    inference(subsumption_resolution,[],[f462,f100]) ).

fof(f100,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f30]) ).

fof(f462,plain,
    ( ~ aElement0(xx)
    | spl12_17 ),
    inference(subsumption_resolution,[],[f461,f169]) ).

fof(f169,plain,
    aElement0(xb),
    inference(subsumption_resolution,[],[f168,f165]) ).

fof(f165,plain,
    aSet0(xJ),
    inference(resolution,[],[f98,f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ( ( ( ~ aElementOf0(sdtasdt0(sK3(X0),sK2(X0)),X0)
              & aElement0(sK3(X0)) )
            | ( ~ aElementOf0(sdtpldt0(sK2(X0),sK4(X0)),X0)
              & aElementOf0(sK4(X0),X0) ) )
          & aElementOf0(sK2(X0),X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X4] :
              ( ( ! [X5] :
                    ( aElementOf0(sdtasdt0(X5,X4),X0)
                    | ~ aElement0(X5) )
                & ! [X6] :
                    ( aElementOf0(sdtpldt0(X4,X6),X0)
                    | ~ aElementOf0(X6,X0) ) )
              | ~ aElementOf0(X4,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f80,f83,f82,f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( ? [X2] :
                ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                & aElement0(X2) )
            | ? [X3] :
                ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                & aElementOf0(X3,X0) ) )
          & aElementOf0(X1,X0) )
     => ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,sK2(X0)),X0)
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(sK2(X0),X3),X0)
              & aElementOf0(X3,X0) ) )
        & aElementOf0(sK2(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ aElementOf0(sdtasdt0(X2,sK2(X0)),X0)
          & aElement0(X2) )
     => ( ~ aElementOf0(sdtasdt0(sK3(X0),sK2(X0)),X0)
        & aElement0(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ! [X0] :
      ( ? [X3] :
          ( ~ aElementOf0(sdtpldt0(sK2(X0),X3),X0)
          & aElementOf0(X3,X0) )
     => ( ~ aElementOf0(sdtpldt0(sK2(X0),sK4(X0)),X0)
        & aElementOf0(sK4(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X4] :
              ( ( ! [X5] :
                    ( aElementOf0(sdtasdt0(X5,X4),X0)
                    | ~ aElement0(X5) )
                & ! [X6] :
                    ( aElementOf0(sdtpldt0(X4,X6),X0)
                    | ~ aElementOf0(X6,X0) ) )
              | ~ aElementOf0(X4,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X1] :
              ( ( ! [X2] :
                    ( aElementOf0(sdtasdt0(X2,X1),X0)
                    | ~ aElement0(X2) )
                & ! [X3] :
                    ( aElementOf0(sdtpldt0(X1,X3),X0)
                    | ~ aElementOf0(X3,X0) ) )
              | ~ aElementOf0(X1,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X1] :
              ( ( ! [X2] :
                    ( aElementOf0(sdtasdt0(X2,X1),X0)
                    | ~ aElement0(X2) )
                & ! [X3] :
                    ( aElementOf0(sdtpldt0(X1,X3),X0)
                    | ~ aElementOf0(X3,X0) ) )
              | ~ aElementOf0(X1,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( ( ! [X2] :
                  ( aElementOf0(sdtasdt0(X2,X1),X0)
                  | ~ aElement0(X2) )
              & ! [X3] :
                  ( aElementOf0(sdtpldt0(X1,X3),X0)
                  | ~ aElementOf0(X3,X0) ) )
            | ~ aElementOf0(X1,X0) )
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X3] :
                  ( aElementOf0(X3,X0)
                 => aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
        & aSet0(X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',mDefIdeal) ).

fof(f168,plain,
    ( aElement0(xb)
    | ~ aSet0(xJ) ),
    inference(resolution,[],[f103,f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | aElement0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',mEOfElem) ).

fof(f103,plain,
    aElementOf0(xb,xJ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    ( sz10 = sdtpldt0(xa,xb)
    & aElementOf0(xb,xJ)
    & aElementOf0(xa,xI) ),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',m__1294) ).

fof(f461,plain,
    ( ~ aElement0(xb)
    | ~ aElement0(xx)
    | spl12_17 ),
    inference(resolution,[],[f436,f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => aElement0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',mSortsB_02) ).

fof(f436,plain,
    ( ~ aElement0(sdtasdt0(xx,xb))
    | spl12_17 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f460,plain,
    spl12_16,
    inference(avatar_contradiction_clause,[],[f459]) ).

fof(f459,plain,
    ( $false
    | spl12_16 ),
    inference(subsumption_resolution,[],[f458,f101]) ).

fof(f458,plain,
    ( ~ aElement0(xy)
    | spl12_16 ),
    inference(subsumption_resolution,[],[f457,f167]) ).

fof(f167,plain,
    aElement0(xa),
    inference(subsumption_resolution,[],[f166,f164]) ).

fof(f164,plain,
    aSet0(xI),
    inference(resolution,[],[f97,f109]) ).

fof(f97,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f28]) ).

fof(f166,plain,
    ( aElement0(xa)
    | ~ aSet0(xI) ),
    inference(resolution,[],[f102,f153]) ).

fof(f102,plain,
    aElementOf0(xa,xI),
    inference(cnf_transformation,[],[f31]) ).

fof(f457,plain,
    ( ~ aElement0(xa)
    | ~ aElement0(xy)
    | spl12_16 ),
    inference(resolution,[],[f432,f143]) ).

fof(f432,plain,
    ( ~ aElement0(sdtasdt0(xy,xa))
    | spl12_16 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f425,plain,
    ( ~ spl12_14
    | spl12_15 ),
    inference(avatar_split_clause,[],[f416,f422,f418]) ).

fof(f416,plain,
    ( sdteqdtlpzmzozddtrp0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xx,xI)
    | ~ aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb))) ),
    inference(subsumption_resolution,[],[f415,f100]) ).

fof(f415,plain,
    ( sdteqdtlpzmzozddtrp0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xx,xI)
    | ~ aElement0(xx)
    | ~ aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb))) ),
    inference(subsumption_resolution,[],[f410,f97]) ).

fof(f410,plain,
    ( sdteqdtlpzmzozddtrp0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),xx,xI)
    | ~ aIdeal0(xI)
    | ~ aElement0(xx)
    | ~ aElement0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb))) ),
    inference(resolution,[],[f162,f148]) ).

fof(f162,plain,
    aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),smndt0(xx)),xI),
    inference(forward_demodulation,[],[f106,f105]) ).

fof(f106,plain,
    aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    file('/export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597',m__1332) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : RNG099+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 18:16:22 EDT 2024
% 0.15/0.31  % CPUTime    : 
% 0.15/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.31  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.odCcFOP9eN/Vampire---4.8_31597
% 0.59/0.79  % (31713)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.79  % (31715)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.79  % (31710)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 (2995ds/34Mi)
% 0.59/0.79  % (31712)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79  % (31714)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 (2995ds/34Mi)
% 0.59/0.79  % (31711)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 (2995ds/51Mi)
% 0.59/0.79  % (31716)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 (2995ds/83Mi)
% 0.59/0.79  % (31717)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 (2995ds/56Mi)
% 0.59/0.80  % (31714)Refutation not found, incomplete strategy% (31714)------------------------------
% 0.59/0.80  % (31714)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (31714)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (31714)Memory used [KB]: 1150
% 0.59/0.80  % (31714)Time elapsed: 0.005 s
% 0.59/0.80  % (31714)Instructions burned: 7 (million)
% 0.59/0.80  % (31714)------------------------------
% 0.59/0.80  % (31714)------------------------------
% 0.59/0.80  % (31718)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 (2995ds/55Mi)
% 0.61/0.80  % (31715)First to succeed.
% 0.61/0.80  % (31712)Also succeeded, but the first one will report.
% 0.61/0.81  % (31715)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31706"
% 0.61/0.81  % (31715)Refutation found. Thanks to Tanya!
% 0.61/0.81  % SZS status Theorem for Vampire---4
% 0.61/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81  % (31715)------------------------------
% 0.61/0.81  % (31715)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (31715)Termination reason: Refutation
% 0.61/0.81  
% 0.61/0.81  % (31715)Memory used [KB]: 1227
% 0.61/0.81  % (31715)Time elapsed: 0.014 s
% 0.61/0.81  % (31715)Instructions burned: 23 (million)
% 0.61/0.81  % (31706)Success in time 0.483 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------