TSTP Solution File: RNG121+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG121+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 08:54:24 EDT 2024

% Result   : Theorem 1.70s 0.96s
% Output   : Refutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   74 (  14 unt;   0 def)
%            Number of atoms       :  371 (  85 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  461 ( 164   ~; 171   |;  99   &)
%                                         (  18 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   4 con; 0-3 aty)
%            Number of variables   :  167 ( 121   !;  46   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1557,plain,
    $false,
    inference(avatar_sat_refutation,[],[f304,f324,f356,f408,f515,f739,f1106,f1494,f1555]) ).

fof(f1555,plain,
    ~ spl20_83,
    inference(avatar_contradiction_clause,[],[f1553]) ).

fof(f1553,plain,
    ( $false
    | ~ spl20_83 ),
    inference(resolution,[],[f752,f174]) ).

fof(f174,plain,
    ~ aElementOf0(xb,xI),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ~ aElementOf0(xb,xI),
    inference(flattening,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ aElementOf0(xb,xI),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    aElementOf0(xb,xI),
    file('/export/starexec/sandbox/tmp/tmp.afgPDOqOLr/Vampire---4.8_20401',m__) ).

fof(f752,plain,
    ( aElementOf0(xb,xI)
    | ~ spl20_83 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f751,plain,
    ( spl20_83
  <=> aElementOf0(xb,xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).

fof(f1494,plain,
    ( spl20_83
    | ~ spl20_9
    | ~ spl20_79 ),
    inference(avatar_split_clause,[],[f1476,f737,f292,f751]) ).

fof(f292,plain,
    ( spl20_9
  <=> aElement0(xb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f737,plain,
    ( spl20_79
  <=> ! [X0] :
        ( aElementOf0(X0,xI)
        | ~ aElement0(X0)
        | ~ aElementOf0(X0,slsdtgt0(xb)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).

fof(f1476,plain,
    ( ~ aElement0(xb)
    | aElementOf0(xb,xI)
    | ~ spl20_79 ),
    inference(resolution,[],[f738,f156]) ).

fof(f156,plain,
    aElementOf0(xb,slsdtgt0(xb)),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ( aElementOf0(xb,slsdtgt0(xb))
    & aElementOf0(sz00,slsdtgt0(xb))
    & aElementOf0(xa,slsdtgt0(xa))
    & aElementOf0(sz00,slsdtgt0(xa)) ),
    file('/export/starexec/sandbox/tmp/tmp.afgPDOqOLr/Vampire---4.8_20401',m__2203) ).

fof(f738,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,slsdtgt0(xb))
        | ~ aElement0(X0)
        | aElementOf0(X0,xI) )
    | ~ spl20_79 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f1106,plain,
    spl20_78,
    inference(avatar_contradiction_clause,[],[f1105]) ).

fof(f1105,plain,
    ( $false
    | spl20_78 ),
    inference(resolution,[],[f735,f153]) ).

fof(f153,plain,
    aElementOf0(sz00,slsdtgt0(xa)),
    inference(cnf_transformation,[],[f43]) ).

fof(f735,plain,
    ( ~ aElementOf0(sz00,slsdtgt0(xa))
    | spl20_78 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f734,plain,
    ( spl20_78
  <=> aElementOf0(sz00,slsdtgt0(xa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).

fof(f739,plain,
    ( ~ spl20_78
    | spl20_79
    | ~ spl20_28 ),
    inference(avatar_split_clause,[],[f694,f406,f737,f734]) ).

fof(f406,plain,
    ( spl20_28
  <=> ! [X0,X1] :
        ( aElementOf0(sdtpldt0(X0,X1),xI)
        | ~ aElementOf0(X0,slsdtgt0(xa))
        | ~ aElementOf0(X1,slsdtgt0(xb)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).

fof(f694,plain,
    ( ! [X0] :
        ( aElementOf0(X0,xI)
        | ~ aElementOf0(sz00,slsdtgt0(xa))
        | ~ aElementOf0(X0,slsdtgt0(xb))
        | ~ aElement0(X0) )
    | ~ spl20_28 ),
    inference(superposition,[],[f407,f181]) ).

fof(f181,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.afgPDOqOLr/Vampire---4.8_20401',mAddZero) ).

fof(f407,plain,
    ( ! [X0,X1] :
        ( aElementOf0(sdtpldt0(X0,X1),xI)
        | ~ aElementOf0(X0,slsdtgt0(xa))
        | ~ aElementOf0(X1,slsdtgt0(xb)) )
    | ~ spl20_28 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f515,plain,
    ( ~ spl20_9
    | spl20_23 ),
    inference(avatar_split_clause,[],[f514,f372,f292]) ).

fof(f372,plain,
    ( spl20_23
  <=> aSet0(slsdtgt0(xb)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).

fof(f514,plain,
    ( ~ aElement0(xb)
    | spl20_23 ),
    inference(resolution,[],[f373,f256]) ).

fof(f256,plain,
    ! [X0] :
      ( aSet0(slsdtgt0(X0))
      | ~ aElement0(X0) ),
    inference(equality_resolution,[],[f208]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( aSet0(X1)
      | slsdtgt0(X0) != X1
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( slsdtgt0(X0) = X1
            | ( ( ! [X3] :
                    ( sdtasdt0(X0,X3) != sK12(X0,X1)
                    | ~ aElement0(X3) )
                | ~ aElementOf0(sK12(X0,X1),X1) )
              & ( ( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
                  & aElement0(sK13(X0,X1)) )
                | aElementOf0(sK12(X0,X1),X1) ) )
            | ~ aSet0(X1) )
          & ( ( ! [X5] :
                  ( ( aElementOf0(X5,X1)
                    | ! [X6] :
                        ( sdtasdt0(X0,X6) != X5
                        | ~ aElement0(X6) ) )
                  & ( ( sdtasdt0(X0,sK14(X0,X5)) = X5
                      & aElement0(sK14(X0,X5)) )
                    | ~ aElementOf0(X5,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 ) )
      | ~ aElement0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f131,f134,f133,f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] :
                ( sdtasdt0(X0,X3) != X2
                | ~ aElement0(X3) )
            | ~ aElementOf0(X2,X1) )
          & ( ? [X4] :
                ( sdtasdt0(X0,X4) = X2
                & aElement0(X4) )
            | aElementOf0(X2,X1) ) )
     => ( ( ! [X3] :
              ( sdtasdt0(X0,X3) != sK12(X0,X1)
              | ~ aElement0(X3) )
          | ~ aElementOf0(sK12(X0,X1),X1) )
        & ( ? [X4] :
              ( sdtasdt0(X0,X4) = sK12(X0,X1)
              & aElement0(X4) )
          | aElementOf0(sK12(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( sdtasdt0(X0,X4) = sK12(X0,X1)
          & aElement0(X4) )
     => ( sK12(X0,X1) = sdtasdt0(X0,sK13(X0,X1))
        & aElement0(sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ! [X0,X5] :
      ( ? [X7] :
          ( sdtasdt0(X0,X7) = X5
          & aElement0(X7) )
     => ( sdtasdt0(X0,sK14(X0,X5)) = X5
        & aElement0(sK14(X0,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( slsdtgt0(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( sdtasdt0(X0,X3) != X2
                      | ~ aElement0(X3) )
                  | ~ aElementOf0(X2,X1) )
                & ( ? [X4] :
                      ( sdtasdt0(X0,X4) = X2
                      & aElement0(X4) )
                  | aElementOf0(X2,X1) ) )
            | ~ aSet0(X1) )
          & ( ( ! [X5] :
                  ( ( aElementOf0(X5,X1)
                    | ! [X6] :
                        ( sdtasdt0(X0,X6) != X5
                        | ~ aElement0(X6) ) )
                  & ( ? [X7] :
                        ( sdtasdt0(X0,X7) = X5
                        & aElement0(X7) )
                    | ~ aElementOf0(X5,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 ) )
      | ~ aElement0(X0) ),
    inference(rectify,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( slsdtgt0(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( sdtasdt0(X0,X3) != X2
                      | ~ aElement0(X3) )
                  | ~ aElementOf0(X2,X1) )
                & ( ? [X3] :
                      ( sdtasdt0(X0,X3) = X2
                      & aElement0(X3) )
                  | aElementOf0(X2,X1) ) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( ( aElementOf0(X2,X1)
                    | ! [X3] :
                        ( sdtasdt0(X0,X3) != X2
                        | ~ aElement0(X3) ) )
                  & ( ? [X3] :
                        ( sdtasdt0(X0,X3) = X2
                        & aElement0(X3) )
                    | ~ aElementOf0(X2,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 ) )
      | ~ aElement0(X0) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( slsdtgt0(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( sdtasdt0(X0,X3) != X2
                      | ~ aElement0(X3) )
                  | ~ aElementOf0(X2,X1) )
                & ( ? [X3] :
                      ( sdtasdt0(X0,X3) = X2
                      & aElement0(X3) )
                  | aElementOf0(X2,X1) ) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( ( aElementOf0(X2,X1)
                    | ! [X3] :
                        ( sdtasdt0(X0,X3) != X2
                        | ~ aElement0(X3) ) )
                  & ( ? [X3] :
                        ( sdtasdt0(X0,X3) = X2
                        & aElement0(X3) )
                    | ~ aElementOf0(X2,X1) ) )
              & aSet0(X1) )
            | slsdtgt0(X0) != X1 ) )
      | ~ aElement0(X0) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( slsdtgt0(X0) = X1
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ? [X3] :
                    ( sdtasdt0(X0,X3) = X2
                    & aElement0(X3) ) )
            & aSet0(X1) ) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ! [X1] :
          ( slsdtgt0(X0) = X1
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
              <=> ? [X3] :
                    ( sdtasdt0(X0,X3) = X2
                    & aElement0(X3) ) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.afgPDOqOLr/Vampire---4.8_20401',mDefPrIdeal) ).

fof(f373,plain,
    ( ~ aSet0(slsdtgt0(xb))
    | spl20_23 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f408,plain,
    ( ~ spl20_16
    | ~ spl20_23
    | spl20_28 ),
    inference(avatar_split_clause,[],[f401,f406,f372,f332]) ).

fof(f332,plain,
    ( spl20_16
  <=> aSet0(slsdtgt0(xa)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).

fof(f401,plain,
    ! [X0,X1] :
      ( aElementOf0(sdtpldt0(X0,X1),xI)
      | ~ aElementOf0(X1,slsdtgt0(xb))
      | ~ aElementOf0(X0,slsdtgt0(xa))
      | ~ aSet0(slsdtgt0(xb))
      | ~ aSet0(slsdtgt0(xa)) ),
    inference(superposition,[],[f247,f152]) ).

fof(f152,plain,
    xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox/tmp/tmp.afgPDOqOLr/Vampire---4.8_20401',m__2174) ).

fof(f247,plain,
    ! [X10,X0,X1,X9] :
      ( aElementOf0(sdtpldt0(X9,X10),sdtpldt1(X0,X1))
      | ~ aElementOf0(X10,X1)
      | ~ aElementOf0(X9,X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f246]) ).

fof(f246,plain,
    ! [X2,X10,X0,X1,X9] :
      ( aElementOf0(sdtpldt0(X9,X10),X2)
      | ~ aElementOf0(X10,X1)
      | ~ aElementOf0(X9,X0)
      | sdtpldt1(X0,X1) != X2
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(equality_resolution,[],[f203]) ).

fof(f203,plain,
    ! [X2,X10,X0,X1,X8,X9] :
      ( aElementOf0(X8,X2)
      | sdtpldt0(X9,X10) != X8
      | ~ aElementOf0(X10,X1)
      | ~ aElementOf0(X9,X0)
      | sdtpldt1(X0,X1) != X2
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt1(X0,X1) = X2
            | ( ( ! [X4,X5] :
                    ( sdtpldt0(X4,X5) != sK7(X0,X1,X2)
                    | ~ aElementOf0(X5,X1)
                    | ~ aElementOf0(X4,X0) )
                | ~ aElementOf0(sK7(X0,X1,X2),X2) )
              & ( ( sK7(X0,X1,X2) = sdtpldt0(sK8(X0,X1,X2),sK9(X0,X1,X2))
                  & aElementOf0(sK9(X0,X1,X2),X1)
                  & aElementOf0(sK8(X0,X1,X2),X0) )
                | aElementOf0(sK7(X0,X1,X2),X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X8] :
                  ( ( aElementOf0(X8,X2)
                    | ! [X9,X10] :
                        ( sdtpldt0(X9,X10) != X8
                        | ~ aElementOf0(X10,X1)
                        | ~ aElementOf0(X9,X0) ) )
                  & ( ( sdtpldt0(sK10(X0,X1,X8),sK11(X0,X1,X8)) = X8
                      & aElementOf0(sK11(X0,X1,X8),X1)
                      & aElementOf0(sK10(X0,X1,X8),X0) )
                    | ~ aElementOf0(X8,X2) ) )
              & aSet0(X2) )
            | sdtpldt1(X0,X1) != X2 ) )
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11])],[f124,f127,f126,f125]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4,X5] :
                ( sdtpldt0(X4,X5) != X3
                | ~ aElementOf0(X5,X1)
                | ~ aElementOf0(X4,X0) )
            | ~ aElementOf0(X3,X2) )
          & ( ? [X6,X7] :
                ( sdtpldt0(X6,X7) = X3
                & aElementOf0(X7,X1)
                & aElementOf0(X6,X0) )
            | aElementOf0(X3,X2) ) )
     => ( ( ! [X5,X4] :
              ( sdtpldt0(X4,X5) != sK7(X0,X1,X2)
              | ~ aElementOf0(X5,X1)
              | ~ aElementOf0(X4,X0) )
          | ~ aElementOf0(sK7(X0,X1,X2),X2) )
        & ( ? [X7,X6] :
              ( sdtpldt0(X6,X7) = sK7(X0,X1,X2)
              & aElementOf0(X7,X1)
              & aElementOf0(X6,X0) )
          | aElementOf0(sK7(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X6] :
          ( sdtpldt0(X6,X7) = sK7(X0,X1,X2)
          & aElementOf0(X7,X1)
          & aElementOf0(X6,X0) )
     => ( sK7(X0,X1,X2) = sdtpldt0(sK8(X0,X1,X2),sK9(X0,X1,X2))
        & aElementOf0(sK9(X0,X1,X2),X1)
        & aElementOf0(sK8(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ! [X0,X1,X8] :
      ( ? [X11,X12] :
          ( sdtpldt0(X11,X12) = X8
          & aElementOf0(X12,X1)
          & aElementOf0(X11,X0) )
     => ( sdtpldt0(sK10(X0,X1,X8),sK11(X0,X1,X8)) = X8
        & aElementOf0(sK11(X0,X1,X8),X1)
        & aElementOf0(sK10(X0,X1,X8),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt1(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4,X5] :
                      ( sdtpldt0(X4,X5) != X3
                      | ~ aElementOf0(X5,X1)
                      | ~ aElementOf0(X4,X0) )
                  | ~ aElementOf0(X3,X2) )
                & ( ? [X6,X7] :
                      ( sdtpldt0(X6,X7) = X3
                      & aElementOf0(X7,X1)
                      & aElementOf0(X6,X0) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X8] :
                  ( ( aElementOf0(X8,X2)
                    | ! [X9,X10] :
                        ( sdtpldt0(X9,X10) != X8
                        | ~ aElementOf0(X10,X1)
                        | ~ aElementOf0(X9,X0) ) )
                  & ( ? [X11,X12] :
                        ( sdtpldt0(X11,X12) = X8
                        & aElementOf0(X12,X1)
                        & aElementOf0(X11,X0) )
                    | ~ aElementOf0(X8,X2) ) )
              & aSet0(X2) )
            | sdtpldt1(X0,X1) != X2 ) )
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(rectify,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt1(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4,X5] :
                      ( sdtpldt0(X4,X5) != X3
                      | ~ aElementOf0(X5,X1)
                      | ~ aElementOf0(X4,X0) )
                  | ~ aElementOf0(X3,X2) )
                & ( ? [X4,X5] :
                      ( sdtpldt0(X4,X5) = X3
                      & aElementOf0(X5,X1)
                      & aElementOf0(X4,X0) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X3] :
                  ( ( aElementOf0(X3,X2)
                    | ! [X4,X5] :
                        ( sdtpldt0(X4,X5) != X3
                        | ~ aElementOf0(X5,X1)
                        | ~ aElementOf0(X4,X0) ) )
                  & ( ? [X4,X5] :
                        ( sdtpldt0(X4,X5) = X3
                        & aElementOf0(X5,X1)
                        & aElementOf0(X4,X0) )
                    | ~ aElementOf0(X3,X2) ) )
              & aSet0(X2) )
            | sdtpldt1(X0,X1) != X2 ) )
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt1(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4,X5] :
                      ( sdtpldt0(X4,X5) != X3
                      | ~ aElementOf0(X5,X1)
                      | ~ aElementOf0(X4,X0) )
                  | ~ aElementOf0(X3,X2) )
                & ( ? [X4,X5] :
                      ( sdtpldt0(X4,X5) = X3
                      & aElementOf0(X5,X1)
                      & aElementOf0(X4,X0) )
                  | aElementOf0(X3,X2) ) )
            | ~ aSet0(X2) )
          & ( ( ! [X3] :
                  ( ( aElementOf0(X3,X2)
                    | ! [X4,X5] :
                        ( sdtpldt0(X4,X5) != X3
                        | ~ aElementOf0(X5,X1)
                        | ~ aElementOf0(X4,X0) ) )
                  & ( ? [X4,X5] :
                        ( sdtpldt0(X4,X5) = X3
                        & aElementOf0(X5,X1)
                        & aElementOf0(X4,X0) )
                    | ~ aElementOf0(X3,X2) ) )
              & aSet0(X2) )
            | sdtpldt1(X0,X1) != X2 ) )
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtpldt1(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4,X5] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X5,X1)
                    & aElementOf0(X4,X0) ) )
            & aSet0(X2) ) )
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtpldt1(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4,X5] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X5,X1)
                    & aElementOf0(X4,X0) ) )
            & aSet0(X2) ) )
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ( aSet0(X1)
        & aSet0(X0) )
     => ! [X2] :
          ( sdtpldt1(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ? [X4,X5] :
                    ( sdtpldt0(X4,X5) = X3
                    & aElementOf0(X5,X1)
                    & aElementOf0(X4,X0) ) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.afgPDOqOLr/Vampire---4.8_20401',mDefSSum) ).

fof(f356,plain,
    ( ~ spl20_11
    | spl20_16 ),
    inference(avatar_split_clause,[],[f355,f332,f309]) ).

fof(f309,plain,
    ( spl20_11
  <=> aElement0(xa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).

fof(f355,plain,
    ( ~ aElement0(xa)
    | spl20_16 ),
    inference(resolution,[],[f333,f256]) ).

fof(f333,plain,
    ( ~ aSet0(slsdtgt0(xa))
    | spl20_16 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f324,plain,
    spl20_11,
    inference(avatar_contradiction_clause,[],[f323]) ).

fof(f323,plain,
    ( $false
    | spl20_11 ),
    inference(resolution,[],[f310,f147]) ).

fof(f147,plain,
    aElement0(xa),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aElement0(xb)
    & aElement0(xa) ),
    file('/export/starexec/sandbox/tmp/tmp.afgPDOqOLr/Vampire---4.8_20401',m__2091) ).

fof(f310,plain,
    ( ~ aElement0(xa)
    | spl20_11 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f304,plain,
    spl20_9,
    inference(avatar_contradiction_clause,[],[f303]) ).

fof(f303,plain,
    ( $false
    | spl20_9 ),
    inference(resolution,[],[f293,f148]) ).

fof(f148,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f39]) ).

fof(f293,plain,
    ( ~ aElement0(xb)
    | spl20_9 ),
    inference(avatar_component_clause,[],[f292]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : RNG121+1 : 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 : n021.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 18:18:38 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  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.afgPDOqOLr/Vampire---4.8_20401
% 0.59/0.75  % (20848)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)
% 0.59/0.75  % (20841)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)
% 0.59/0.75  % (20843)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (20845)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)
% 0.59/0.75  % (20846)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)
% 0.59/0.75  % (20844)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)
% 0.59/0.75  % (20847)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)
% 0.59/0.75  % (20842)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)
% 0.59/0.77  % (20848)Instruction limit reached!
% 0.59/0.77  % (20848)------------------------------
% 0.59/0.77  % (20848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (20848)Termination reason: Unknown
% 0.59/0.77  % (20848)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (20848)Memory used [KB]: 2265
% 0.59/0.77  % (20848)Time elapsed: 0.020 s
% 0.59/0.77  % (20848)Instructions burned: 57 (million)
% 0.59/0.77  % (20848)------------------------------
% 0.59/0.77  % (20848)------------------------------
% 0.59/0.77  % (20844)Instruction limit reached!
% 0.59/0.77  % (20844)------------------------------
% 0.59/0.77  % (20844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (20845)Instruction limit reached!
% 0.59/0.77  % (20845)------------------------------
% 0.59/0.77  % (20845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (20844)Termination reason: Unknown
% 0.59/0.77  % (20844)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (20844)Memory used [KB]: 1712
% 0.59/0.77  % (20844)Time elapsed: 0.020 s
% 0.59/0.77  % (20844)Instructions burned: 34 (million)
% 0.59/0.77  % (20844)------------------------------
% 0.59/0.77  % (20844)------------------------------
% 0.59/0.77  % (20845)Termination reason: Unknown
% 0.59/0.77  % (20845)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (20845)Memory used [KB]: 1668
% 0.59/0.77  % (20845)Time elapsed: 0.020 s
% 0.59/0.77  % (20845)Instructions burned: 34 (million)
% 0.59/0.77  % (20845)------------------------------
% 0.59/0.77  % (20845)------------------------------
% 0.59/0.77  % (20841)Instruction limit reached!
% 0.59/0.77  % (20841)------------------------------
% 0.59/0.77  % (20841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (20841)Termination reason: Unknown
% 0.59/0.77  % (20841)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (20841)Memory used [KB]: 1351
% 0.59/0.77  % (20841)Time elapsed: 0.021 s
% 0.59/0.77  % (20841)Instructions burned: 35 (million)
% 0.59/0.77  % (20841)------------------------------
% 0.59/0.77  % (20841)------------------------------
% 0.59/0.77  % (20861)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)
% 0.59/0.78  % (20864)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.78  % (20865)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.78  % (20866)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.78  % (20846)Instruction limit reached!
% 0.59/0.78  % (20846)------------------------------
% 0.59/0.78  % (20846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (20846)Termination reason: Unknown
% 0.59/0.78  % (20846)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (20846)Memory used [KB]: 1669
% 0.59/0.78  % (20846)Time elapsed: 0.029 s
% 0.59/0.78  % (20846)Instructions burned: 45 (million)
% 0.59/0.78  % (20846)------------------------------
% 0.59/0.78  % (20846)------------------------------
% 0.59/0.78  % (20870)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.79  % (20842)Instruction limit reached!
% 0.59/0.79  % (20842)------------------------------
% 0.59/0.79  % (20842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (20842)Termination reason: Unknown
% 0.59/0.79  % (20842)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (20842)Memory used [KB]: 1858
% 0.59/0.79  % (20842)Time elapsed: 0.034 s
% 0.59/0.79  % (20842)Instructions burned: 52 (million)
% 0.59/0.79  % (20842)------------------------------
% 0.59/0.79  % (20842)------------------------------
% 0.59/0.79  % (20871)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.79  % (20861)Instruction limit reached!
% 0.59/0.79  % (20861)------------------------------
% 0.59/0.79  % (20861)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (20861)Termination reason: Unknown
% 0.59/0.79  % (20861)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (20861)Memory used [KB]: 2282
% 0.59/0.79  % (20861)Time elapsed: 0.042 s
% 0.59/0.79  % (20861)Instructions burned: 56 (million)
% 0.59/0.79  % (20861)------------------------------
% 0.59/0.79  % (20861)------------------------------
% 0.59/0.79  % (20847)Instruction limit reached!
% 0.59/0.79  % (20847)------------------------------
% 0.59/0.79  % (20847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (20847)Termination reason: Unknown
% 0.59/0.79  % (20847)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (20847)Memory used [KB]: 2161
% 0.59/0.79  % (20847)Time elapsed: 0.039 s
% 0.59/0.79  % (20847)Instructions burned: 84 (million)
% 0.59/0.79  % (20847)------------------------------
% 0.59/0.79  % (20847)------------------------------
% 0.59/0.79  % (20872)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.59/0.80  % (20873)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.59/0.80  % (20843)Instruction limit reached!
% 0.59/0.80  % (20843)------------------------------
% 0.59/0.80  % (20843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (20843)Termination reason: Unknown
% 0.59/0.80  % (20843)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (20843)Memory used [KB]: 2063
% 0.59/0.80  % (20843)Time elapsed: 0.048 s
% 0.59/0.80  % (20843)Instructions burned: 78 (million)
% 0.59/0.80  % (20843)------------------------------
% 0.59/0.80  % (20843)------------------------------
% 0.85/0.80  % (20864)Instruction limit reached!
% 0.85/0.80  % (20864)------------------------------
% 0.85/0.80  % (20864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.80  % (20864)Termination reason: Unknown
% 0.85/0.80  % (20864)Termination phase: Saturation
% 0.85/0.80  
% 0.85/0.80  % (20864)Memory used [KB]: 1759
% 0.85/0.80  % (20864)Time elapsed: 0.050 s
% 0.85/0.80  % (20864)Instructions burned: 51 (million)
% 0.85/0.80  % (20864)------------------------------
% 0.85/0.80  % (20864)------------------------------
% 0.85/0.80  % (20878)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.85/0.81  % (20879)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.85/0.81  % (20866)Instruction limit reached!
% 0.85/0.81  % (20866)------------------------------
% 0.85/0.81  % (20866)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.81  % (20866)Termination reason: Unknown
% 0.85/0.81  % (20866)Termination phase: Saturation
% 0.85/0.81  
% 0.85/0.81  % (20866)Memory used [KB]: 1819
% 0.85/0.81  % (20866)Time elapsed: 0.065 s
% 0.85/0.81  % (20866)Instructions burned: 52 (million)
% 0.85/0.81  % (20866)------------------------------
% 0.85/0.81  % (20866)------------------------------
% 0.85/0.81  % (20871)Instruction limit reached!
% 0.85/0.81  % (20871)------------------------------
% 0.85/0.81  % (20871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.81  % (20871)Termination reason: Unknown
% 0.85/0.81  % (20871)Termination phase: Saturation
% 0.85/0.81  
% 0.85/0.81  % (20871)Memory used [KB]: 1689
% 0.85/0.81  % (20871)Time elapsed: 0.026 s
% 0.85/0.81  % (20871)Instructions burned: 42 (million)
% 0.85/0.81  % (20871)------------------------------
% 0.85/0.81  % (20871)------------------------------
% 0.85/0.81  % (20880)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.85/0.82  % (20881)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.85/0.84  % (20881)Instruction limit reached!
% 0.85/0.84  % (20881)------------------------------
% 0.85/0.84  % (20881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.85/0.84  % (20881)Termination reason: Unknown
% 0.85/0.84  % (20881)Termination phase: Saturation
% 0.85/0.84  
% 0.85/0.84  % (20881)Memory used [KB]: 1571
% 0.85/0.84  % (20881)Time elapsed: 0.021 s
% 0.85/0.84  % (20881)Instructions burned: 33 (million)
% 0.85/0.84  % (20881)------------------------------
% 0.85/0.84  % (20881)------------------------------
% 0.85/0.84  % (20882)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.97/0.85  % (20880)Instruction limit reached!
% 0.97/0.85  % (20880)------------------------------
% 0.97/0.85  % (20880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.85  % (20880)Termination reason: Unknown
% 0.97/0.85  % (20880)Termination phase: Saturation
% 0.97/0.85  
% 0.97/0.85  % (20880)Memory used [KB]: 2399
% 0.97/0.85  % (20880)Time elapsed: 0.033 s
% 0.97/0.85  % (20880)Instructions burned: 62 (million)
% 0.97/0.85  % (20880)------------------------------
% 0.97/0.85  % (20880)------------------------------
% 0.97/0.85  % (20883)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.97/0.85  % (20873)Instruction limit reached!
% 0.97/0.85  % (20873)------------------------------
% 0.97/0.85  % (20873)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.85  % (20873)Termination reason: Unknown
% 0.97/0.85  % (20873)Termination phase: Saturation
% 0.97/0.85  
% 0.97/0.85  % (20873)Memory used [KB]: 1756
% 0.97/0.85  % (20873)Time elapsed: 0.061 s
% 0.97/0.85  % (20873)Instructions burned: 117 (million)
% 0.97/0.85  % (20873)------------------------------
% 0.97/0.85  % (20873)------------------------------
% 0.97/0.86  % (20879)Instruction limit reached!
% 0.97/0.86  % (20879)------------------------------
% 0.97/0.86  % (20879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.86  % (20879)Termination reason: Unknown
% 0.97/0.86  % (20879)Termination phase: Saturation
% 0.97/0.86  
% 0.97/0.86  % (20879)Memory used [KB]: 2120
% 0.97/0.86  % (20879)Time elapsed: 0.051 s
% 0.97/0.86  % (20879)Instructions burned: 94 (million)
% 0.97/0.86  % (20879)------------------------------
% 0.97/0.86  % (20879)------------------------------
% 0.97/0.86  % (20885)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.97/0.86  % (20886)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.97/0.87  % (20872)Instruction limit reached!
% 0.97/0.87  % (20872)------------------------------
% 0.97/0.87  % (20872)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.87  % (20872)Termination reason: Unknown
% 0.97/0.87  % (20872)Termination phase: Saturation
% 0.97/0.87  
% 0.97/0.87  % (20872)Memory used [KB]: 2556
% 0.97/0.87  % (20872)Time elapsed: 0.075 s
% 0.97/0.87  % (20872)Instructions burned: 243 (million)
% 0.97/0.87  % (20872)------------------------------
% 0.97/0.87  % (20872)------------------------------
% 0.97/0.87  % (20887)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.97/0.88  % (20883)Instruction limit reached!
% 0.97/0.88  % (20883)------------------------------
% 0.97/0.88  % (20883)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.88  % (20883)Termination reason: Unknown
% 0.97/0.88  % (20883)Termination phase: Saturation
% 0.97/0.88  
% 0.97/0.88  % (20883)Memory used [KB]: 2562
% 0.97/0.88  % (20883)Time elapsed: 0.029 s
% 0.97/0.88  % (20883)Instructions burned: 56 (million)
% 0.97/0.88  % (20883)------------------------------
% 0.97/0.88  % (20883)------------------------------
% 0.97/0.88  % (20888)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.97/0.88  % (20878)Instruction limit reached!
% 0.97/0.88  % (20878)------------------------------
% 0.97/0.88  % (20878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.88  % (20885)Instruction limit reached!
% 0.97/0.88  % (20885)------------------------------
% 0.97/0.88  % (20885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.88  % (20878)Termination reason: Unknown
% 0.97/0.88  % (20885)Termination reason: Unknown
% 0.97/0.88  % (20878)Termination phase: Saturation
% 0.97/0.88  % (20885)Termination phase: Saturation
% 0.97/0.88  
% 0.97/0.88  
% 0.97/0.88  % (20878)Memory used [KB]: 2131
% 0.97/0.88  % (20885)Memory used [KB]: 1803
% 0.97/0.88  % (20885)Time elapsed: 0.026 s
% 0.97/0.88  % (20878)Time elapsed: 0.080 s
% 0.97/0.88  % (20885)Instructions burned: 53 (million)
% 0.97/0.88  % (20878)Instructions burned: 144 (million)
% 0.97/0.88  % (20885)------------------------------
% 0.97/0.88  % (20885)------------------------------
% 0.97/0.88  % (20878)------------------------------
% 0.97/0.88  % (20878)------------------------------
% 0.97/0.89  % (20889)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 0.97/0.89  % (20890)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 0.97/0.89  % (20886)Instruction limit reached!
% 0.97/0.89  % (20886)------------------------------
% 0.97/0.89  % (20886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.89  % (20886)Termination reason: Unknown
% 0.97/0.89  % (20886)Termination phase: Saturation
% 0.97/0.89  
% 0.97/0.89  % (20886)Memory used [KB]: 2171
% 0.97/0.89  % (20886)Time elapsed: 0.030 s
% 0.97/0.89  % (20886)Instructions burned: 46 (million)
% 0.97/0.89  % (20886)------------------------------
% 0.97/0.89  % (20886)------------------------------
% 0.97/0.89  % (20865)Instruction limit reached!
% 0.97/0.89  % (20865)------------------------------
% 0.97/0.89  % (20865)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.89  % (20891)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 0.97/0.89  % (20865)Termination reason: Unknown
% 0.97/0.89  % (20865)Termination phase: Saturation
% 0.97/0.89  
% 0.97/0.89  % (20865)Memory used [KB]: 3087
% 0.97/0.89  % (20865)Time elapsed: 0.142 s
% 0.97/0.89  % (20865)Instructions burned: 209 (million)
% 0.97/0.89  % (20865)------------------------------
% 0.97/0.89  % (20865)------------------------------
% 0.97/0.90  % (20892)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 0.97/0.90  % (20891)Refutation not found, incomplete strategy% (20891)------------------------------
% 0.97/0.90  % (20891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.90  % (20891)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.90  
% 0.97/0.90  % (20891)Memory used [KB]: 1171
% 0.97/0.90  % (20891)Time elapsed: 0.006 s
% 0.97/0.90  % (20891)Instructions burned: 10 (million)
% 0.97/0.90  % (20891)------------------------------
% 0.97/0.90  % (20891)------------------------------
% 0.97/0.90  % (20893)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 0.97/0.90  % (20888)Instruction limit reached!
% 0.97/0.90  % (20888)------------------------------
% 0.97/0.90  % (20888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.90  % (20888)Termination reason: Unknown
% 0.97/0.90  % (20888)Termination phase: Saturation
% 0.97/0.90  
% 0.97/0.90  % (20888)Memory used [KB]: 1489
% 0.97/0.90  % (20888)Time elapsed: 0.020 s
% 0.97/0.90  % (20888)Instructions burned: 35 (million)
% 0.97/0.90  % (20888)------------------------------
% 0.97/0.90  % (20888)------------------------------
% 0.97/0.90  % (20887)Instruction limit reached!
% 0.97/0.90  % (20887)------------------------------
% 0.97/0.90  % (20887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.90  % (20887)Termination reason: Unknown
% 0.97/0.90  % (20887)Termination phase: Saturation
% 0.97/0.90  
% 0.97/0.90  % (20887)Memory used [KB]: 3372
% 0.97/0.90  % (20887)Time elapsed: 0.034 s
% 0.97/0.90  % (20887)Instructions burned: 102 (million)
% 0.97/0.90  % (20887)------------------------------
% 0.97/0.90  % (20887)------------------------------
% 0.97/0.90  % (20894)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 0.97/0.90  % (20895)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 0.97/0.92  % (20893)Instruction limit reached!
% 0.97/0.92  % (20893)------------------------------
% 0.97/0.92  % (20893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.92  % (20893)Termination reason: Unknown
% 0.97/0.92  % (20893)Termination phase: Saturation
% 0.97/0.92  
% 0.97/0.92  % (20893)Memory used [KB]: 1574
% 0.97/0.92  % (20893)Time elapsed: 0.038 s
% 0.97/0.92  % (20893)Instructions burned: 41 (million)
% 0.97/0.92  % (20893)------------------------------
% 0.97/0.92  % (20893)------------------------------
% 0.97/0.92  % (20889)Instruction limit reached!
% 0.97/0.92  % (20889)------------------------------
% 0.97/0.92  % (20889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.92  % (20889)Termination reason: Unknown
% 0.97/0.92  % (20889)Termination phase: Saturation
% 0.97/0.92  
% 0.97/0.92  % (20889)Memory used [KB]: 3084
% 0.97/0.92  % (20889)Time elapsed: 0.033 s
% 0.97/0.92  % (20889)Instructions burned: 88 (million)
% 0.97/0.92  % (20889)------------------------------
% 0.97/0.92  % (20889)------------------------------
% 0.97/0.92  % (20896)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 0.97/0.92  % (20897)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 0.97/0.92  % (20892)Instruction limit reached!
% 0.97/0.92  % (20892)------------------------------
% 0.97/0.92  % (20892)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.92  % (20892)Termination reason: Unknown
% 0.97/0.92  % (20892)Termination phase: Saturation
% 0.97/0.92  
% 0.97/0.92  % (20892)Memory used [KB]: 2253
% 0.97/0.92  % (20892)Time elapsed: 0.050 s
% 0.97/0.92  % (20892)Instructions burned: 71 (million)
% 0.97/0.92  % (20892)------------------------------
% 0.97/0.92  % (20892)------------------------------
% 0.97/0.93  % (20898)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 0.97/0.93  % (20890)Instruction limit reached!
% 0.97/0.93  % (20890)------------------------------
% 0.97/0.93  % (20890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.93  % (20890)Termination reason: Unknown
% 0.97/0.93  % (20890)Termination phase: Saturation
% 0.97/0.93  
% 0.97/0.93  % (20890)Memory used [KB]: 2585
% 0.97/0.93  % (20890)Time elapsed: 0.044 s
% 0.97/0.93  % (20890)Instructions burned: 109 (million)
% 0.97/0.93  % (20890)------------------------------
% 0.97/0.93  % (20890)------------------------------
% 0.97/0.93  % (20899)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2994ds/47Mi)
% 0.97/0.93  % (20897)Instruction limit reached!
% 0.97/0.93  % (20897)------------------------------
% 0.97/0.93  % (20897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.93  % (20897)Termination reason: Unknown
% 0.97/0.93  % (20897)Termination phase: Saturation
% 0.97/0.93  
% 0.97/0.93  % (20897)Memory used [KB]: 1809
% 0.97/0.93  % (20897)Time elapsed: 0.015 s
% 0.97/0.93  % (20897)Instructions burned: 37 (million)
% 0.97/0.93  % (20897)------------------------------
% 0.97/0.93  % (20897)------------------------------
% 0.97/0.94  % (20900)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 1.70/0.94  % (20896)Instruction limit reached!
% 1.70/0.94  % (20896)------------------------------
% 1.70/0.94  % (20896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.70/0.94  % (20896)Termination reason: Unknown
% 1.70/0.94  % (20896)Termination phase: Saturation
% 1.70/0.94  
% 1.70/0.94  % (20896)Memory used [KB]: 1834
% 1.70/0.94  % (20896)Time elapsed: 0.027 s
% 1.70/0.94  % (20896)Instructions burned: 82 (million)
% 1.70/0.94  % (20896)------------------------------
% 1.70/0.94  % (20896)------------------------------
% 1.70/0.95  % (20898)Instruction limit reached!
% 1.70/0.95  % (20898)------------------------------
% 1.70/0.95  % (20898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.70/0.95  % (20898)Termination reason: Unknown
% 1.70/0.95  % (20898)Termination phase: Saturation
% 1.70/0.95  
% 1.70/0.95  % (20898)Memory used [KB]: 1856
% 1.70/0.95  % (20898)Time elapsed: 0.020 s
% 1.70/0.95  % (20898)Instructions burned: 56 (million)
% 1.70/0.95  % (20898)------------------------------
% 1.70/0.95  % (20898)------------------------------
% 1.70/0.95  % (20901)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2994ds/132Mi)
% 1.70/0.95  % (20900)Instruction limit reached!
% 1.70/0.95  % (20900)------------------------------
% 1.70/0.95  % (20900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.70/0.95  % (20900)Termination reason: Unknown
% 1.70/0.95  % (20900)Termination phase: Saturation
% 1.70/0.95  
% 1.70/0.95  % (20900)Memory used [KB]: 1567
% 1.70/0.95  % (20900)Time elapsed: 0.012 s
% 1.70/0.95  % (20900)Instructions burned: 32 (million)
% 1.70/0.95  % (20900)------------------------------
% 1.70/0.95  % (20900)------------------------------
% 1.70/0.95  % (20902)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2994ds/54Mi)
% 1.70/0.95  % (20895)Instruction limit reached!
% 1.70/0.95  % (20895)------------------------------
% 1.70/0.95  % (20895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.70/0.95  % (20895)Termination reason: Unknown
% 1.70/0.95  % (20895)Termination phase: Saturation
% 1.70/0.95  
% 1.70/0.95  % (20895)Memory used [KB]: 2673
% 1.70/0.95  % (20895)Time elapsed: 0.045 s
% 1.70/0.95  % (20895)Instructions burned: 164 (million)
% 1.70/0.95  % (20895)------------------------------
% 1.70/0.95  % (20895)------------------------------
% 1.70/0.95  % (20903)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2994ds/82Mi)
% 1.70/0.95  % (20899)Instruction limit reached!
% 1.70/0.95  % (20899)------------------------------
% 1.70/0.95  % (20899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.70/0.95  % (20899)Termination reason: Unknown
% 1.70/0.95  % (20899)Termination phase: Saturation
% 1.70/0.95  
% 1.70/0.95  % (20899)Memory used [KB]: 1927
% 1.70/0.95  % (20899)Time elapsed: 0.020 s
% 1.70/0.95  % (20899)Instructions burned: 48 (million)
% 1.70/0.95  % (20899)------------------------------
% 1.70/0.95  % (20899)------------------------------
% 1.70/0.95  % (20901)Refutation not found, incomplete strategy% (20901)------------------------------
% 1.70/0.95  % (20901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.70/0.95  % (20901)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.95  
% 1.70/0.95  % (20901)Memory used [KB]: 1165
% 1.70/0.95  % (20901)Time elapsed: 0.006 s
% 1.70/0.95  % (20901)Instructions burned: 15 (million)
% 1.70/0.95  % (20904)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2994ds/119Mi)
% 1.70/0.95  % (20901)------------------------------
% 1.70/0.95  % (20901)------------------------------
% 1.70/0.95  % (20905)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2994ds/177Mi)
% 1.70/0.95  % (20906)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2994ds/117Mi)
% 1.70/0.96  % (20905)First to succeed.
% 1.70/0.96  % (20905)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20677"
% 1.70/0.96  % (20905)Refutation found. Thanks to Tanya!
% 1.70/0.96  % SZS status Theorem for Vampire---4
% 1.70/0.96  % SZS output start Proof for Vampire---4
% See solution above
% 1.70/0.96  % (20905)------------------------------
% 1.70/0.96  % (20905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.70/0.96  % (20905)Termination reason: Refutation
% 1.70/0.96  
% 1.70/0.96  % (20905)Memory used [KB]: 1712
% 1.70/0.96  % (20905)Time elapsed: 0.011 s
% 1.70/0.96  % (20905)Instructions burned: 29 (million)
% 1.70/0.96  % (20677)Success in time 0.595 s
% 1.70/0.97  % Vampire---4.8 exiting
%------------------------------------------------------------------------------