TSTP Solution File: RNG091+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG091+1 : TPTP v8.2.0. 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 : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:39:25 EDT 2024

% Result   : Theorem 0.88s 0.88s
% Output   : Refutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   80 (  13 unt;   0 def)
%            Number of atoms       :  316 (  40 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  364 ( 128   ~; 133   |;  73   &)
%                                         (  16 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   6 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-3 aty)
%            Number of variables   :  146 ( 114   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4405,plain,
    $false,
    inference(avatar_sat_refutation,[],[f172,f187,f205,f274,f4276,f4404]) ).

fof(f4404,plain,
    ( spl10_2
    | ~ spl10_10 ),
    inference(avatar_contradiction_clause,[],[f4403]) ).

fof(f4403,plain,
    ( $false
    | spl10_2
    | ~ spl10_10 ),
    inference(subsumption_resolution,[],[f4402,f224]) ).

fof(f224,plain,
    ( sP1(xI,xJ)
    | ~ spl10_10 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl10_10
  <=> sP1(xI,xJ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).

fof(f4402,plain,
    ( ~ sP1(xI,xJ)
    | spl10_2 ),
    inference(subsumption_resolution,[],[f4401,f104]) ).

fof(f104,plain,
    aElementOf0(sdtasdt0(xz,xl),xJ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ( aElementOf0(sdtasdt0(xz,xl),xJ)
    & aElementOf0(sdtasdt0(xz,xk),xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1021) ).

fof(f4401,plain,
    ( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
    | ~ sP1(xI,xJ)
    | spl10_2 ),
    inference(subsumption_resolution,[],[f4399,f103]) ).

fof(f103,plain,
    aElementOf0(sdtasdt0(xz,xk),xI),
    inference(cnf_transformation,[],[f30]) ).

fof(f4399,plain,
    ( ~ aElementOf0(sdtasdt0(xz,xk),xI)
    | ~ aElementOf0(sdtasdt0(xz,xl),xJ)
    | ~ sP1(xI,xJ)
    | spl10_2 ),
    inference(resolution,[],[f4291,f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( sP0(X1,X0,sdtpldt1(X0,X1))
      | ~ sP1(X0,X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( sP0(X1,X0,X2)
      | sdtpldt1(X0,X1) != X2
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt1(X0,X1) = X2
            | ~ sP0(X1,X0,X2) )
          & ( sP0(X1,X0,X2)
            | sdtpldt1(X0,X1) != X2 ) )
      | ~ sP1(X0,X1) ),
    inference(nnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtpldt1(X0,X1) = X2
        <=> sP0(X1,X0,X2) )
      | ~ sP1(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f4291,plain,
    ( ! [X0,X1] :
        ( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
        | ~ aElementOf0(sdtasdt0(xz,xk),X1)
        | ~ aElementOf0(sdtasdt0(xz,xl),X0) )
    | spl10_2 ),
    inference(resolution,[],[f171,f319]) ).

fof(f319,plain,
    ! [X2,X0,X1] :
      ( aElementOf0(sdtasdt0(xz,xx),X0)
      | ~ aElementOf0(sdtasdt0(xz,xl),X1)
      | ~ aElementOf0(sdtasdt0(xz,xk),X2)
      | ~ sP0(X1,X2,X0) ),
    inference(superposition,[],[f163,f106]) ).

fof(f106,plain,
    sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1098) ).

fof(f163,plain,
    ! [X2,X10,X0,X1,X9] :
      ( aElementOf0(sdtpldt0(X9,X10),X2)
      | ~ aElementOf0(X10,X0)
      | ~ aElementOf0(X9,X1)
      | ~ sP0(X0,X1,X2) ),
    inference(equality_resolution,[],[f124]) ).

fof(f124,plain,
    ! [X2,X10,X0,X1,X8,X9] :
      ( aElementOf0(X8,X2)
      | sdtpldt0(X9,X10) != X8
      | ~ aElementOf0(X10,X0)
      | ~ aElementOf0(X9,X1)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ( ( ! [X4,X5] :
                ( sdtpldt0(X4,X5) != sK3(X0,X1,X2)
                | ~ aElementOf0(X5,X0)
                | ~ aElementOf0(X4,X1) )
            | ~ aElementOf0(sK3(X0,X1,X2),X2) )
          & ( ( sK3(X0,X1,X2) = sdtpldt0(sK4(X0,X1,X2),sK5(X0,X1,X2))
              & aElementOf0(sK5(X0,X1,X2),X0)
              & aElementOf0(sK4(X0,X1,X2),X1) )
            | aElementOf0(sK3(X0,X1,X2),X2) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X8] :
              ( ( aElementOf0(X8,X2)
                | ! [X9,X10] :
                    ( sdtpldt0(X9,X10) != X8
                    | ~ aElementOf0(X10,X0)
                    | ~ aElementOf0(X9,X1) ) )
              & ( ( sdtpldt0(sK6(X0,X1,X8),sK7(X0,X1,X8)) = X8
                  & aElementOf0(sK7(X0,X1,X8),X0)
                  & aElementOf0(sK6(X0,X1,X8),X1) )
                | ~ aElementOf0(X8,X2) ) )
          & aSet0(X2) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7])],[f82,f85,f84,f83]) ).

fof(f83,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4,X5] :
                ( sdtpldt0(X4,X5) != X3
                | ~ aElementOf0(X5,X0)
                | ~ aElementOf0(X4,X1) )
            | ~ aElementOf0(X3,X2) )
          & ( ? [X6,X7] :
                ( sdtpldt0(X6,X7) = X3
                & aElementOf0(X7,X0)
                & aElementOf0(X6,X1) )
            | aElementOf0(X3,X2) ) )
     => ( ( ! [X5,X4] :
              ( sdtpldt0(X4,X5) != sK3(X0,X1,X2)
              | ~ aElementOf0(X5,X0)
              | ~ aElementOf0(X4,X1) )
          | ~ aElementOf0(sK3(X0,X1,X2),X2) )
        & ( ? [X7,X6] :
              ( sdtpldt0(X6,X7) = sK3(X0,X1,X2)
              & aElementOf0(X7,X0)
              & aElementOf0(X6,X1) )
          | aElementOf0(sK3(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X6] :
          ( sdtpldt0(X6,X7) = sK3(X0,X1,X2)
          & aElementOf0(X7,X0)
          & aElementOf0(X6,X1) )
     => ( sK3(X0,X1,X2) = sdtpldt0(sK4(X0,X1,X2),sK5(X0,X1,X2))
        & aElementOf0(sK5(X0,X1,X2),X0)
        & aElementOf0(sK4(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0,X1,X8] :
      ( ? [X11,X12] :
          ( sdtpldt0(X11,X12) = X8
          & aElementOf0(X12,X0)
          & aElementOf0(X11,X1) )
     => ( sdtpldt0(sK6(X0,X1,X8),sK7(X0,X1,X8)) = X8
        & aElementOf0(sK7(X0,X1,X8),X0)
        & aElementOf0(sK6(X0,X1,X8),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( sdtpldt0(X4,X5) != X3
                  | ~ aElementOf0(X5,X0)
                  | ~ aElementOf0(X4,X1) )
              | ~ aElementOf0(X3,X2) )
            & ( ? [X6,X7] :
                  ( sdtpldt0(X6,X7) = X3
                  & aElementOf0(X7,X0)
                  & aElementOf0(X6,X1) )
              | aElementOf0(X3,X2) ) )
        | ~ aSet0(X2) )
      & ( ( ! [X8] :
              ( ( aElementOf0(X8,X2)
                | ! [X9,X10] :
                    ( sdtpldt0(X9,X10) != X8
                    | ~ aElementOf0(X10,X0)
                    | ~ aElementOf0(X9,X1) ) )
              & ( ? [X11,X12] :
                    ( sdtpldt0(X11,X12) = X8
                    & aElementOf0(X12,X0)
                    & aElementOf0(X11,X1) )
                | ~ aElementOf0(X8,X2) ) )
          & aSet0(X2) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ! [X1,X0,X2] :
      ( ( sP0(X1,X0,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) )
        | ~ sP0(X1,X0,X2) ) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X1,X0,X2] :
      ( ( sP0(X1,X0,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) )
        | ~ sP0(X1,X0,X2) ) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X1,X0,X2] :
      ( sP0(X1,X0,X2)
    <=> ( ! [X3] :
            ( aElementOf0(X3,X2)
          <=> ? [X4,X5] :
                ( sdtpldt0(X4,X5) = X3
                & aElementOf0(X5,X1)
                & aElementOf0(X4,X0) ) )
        & aSet0(X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f171,plain,
    ( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
    | spl10_2 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl10_2
  <=> aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f4276,plain,
    ( spl10_1
    | ~ spl10_10 ),
    inference(avatar_contradiction_clause,[],[f4275]) ).

fof(f4275,plain,
    ( $false
    | spl10_1
    | ~ spl10_10 ),
    inference(subsumption_resolution,[],[f4274,f224]) ).

fof(f4274,plain,
    ( ~ sP1(xI,xJ)
    | spl10_1 ),
    inference(subsumption_resolution,[],[f4273,f102]) ).

fof(f102,plain,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ( aElementOf0(sdtpldt0(xl,xn),xJ)
    & aElementOf0(sdtpldt0(xk,xm),xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__994) ).

fof(f4273,plain,
    ( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
    | ~ sP1(xI,xJ)
    | spl10_1 ),
    inference(subsumption_resolution,[],[f4271,f101]) ).

fof(f101,plain,
    aElementOf0(sdtpldt0(xk,xm),xI),
    inference(cnf_transformation,[],[f29]) ).

fof(f4271,plain,
    ( ~ aElementOf0(sdtpldt0(xk,xm),xI)
    | ~ aElementOf0(sdtpldt0(xl,xn),xJ)
    | ~ sP1(xI,xJ)
    | spl10_1 ),
    inference(resolution,[],[f777,f162]) ).

fof(f777,plain,
    ( ! [X0,X1] :
        ( ~ sP0(X0,X1,sdtpldt1(xI,xJ))
        | ~ aElementOf0(sdtpldt0(xk,xm),X1)
        | ~ aElementOf0(sdtpldt0(xl,xn),X0) )
    | spl10_1 ),
    inference(resolution,[],[f297,f167]) ).

fof(f167,plain,
    ( ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
    | spl10_1 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f165,plain,
    ( spl10_1
  <=> aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f297,plain,
    ! [X2,X0,X1] :
      ( aElementOf0(sdtpldt0(xx,xy),X0)
      | ~ aElementOf0(sdtpldt0(xl,xn),X1)
      | ~ aElementOf0(sdtpldt0(xk,xm),X2)
      | ~ sP0(X1,X2,X0) ),
    inference(superposition,[],[f163,f105]) ).

fof(f105,plain,
    sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1061) ).

fof(f274,plain,
    ( ~ spl10_3
    | ~ spl10_5
    | spl10_10 ),
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f273,plain,
    ( $false
    | ~ spl10_3
    | ~ spl10_5
    | spl10_10 ),
    inference(subsumption_resolution,[],[f272,f176]) ).

fof(f176,plain,
    ( aSet0(xI)
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f175,plain,
    ( spl10_3
  <=> aSet0(xI) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f272,plain,
    ( ~ aSet0(xI)
    | ~ spl10_5
    | spl10_10 ),
    inference(subsumption_resolution,[],[f270,f191]) ).

fof(f191,plain,
    ( aSet0(xJ)
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f190,plain,
    ( spl10_5
  <=> aSet0(xJ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f270,plain,
    ( ~ aSet0(xJ)
    | ~ aSet0(xI)
    | spl10_10 ),
    inference(resolution,[],[f225,f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( sP1(X0,X1)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(definition_folding,[],[f45,f72,f71]) ).

fof(f45,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,[],[f44]) ).

fof(f44,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/benchmark/theBenchmark.p',mDefSSum) ).

fof(f225,plain,
    ( ~ sP1(xI,xJ)
    | spl10_10 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f205,plain,
    spl10_5,
    inference(avatar_contradiction_clause,[],[f204]) ).

fof(f204,plain,
    ( $false
    | spl10_5 ),
    inference(subsumption_resolution,[],[f202,f91]) ).

fof(f91,plain,
    aIdeal0(xJ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    ( aIdeal0(xJ)
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).

fof(f202,plain,
    ( ~ aIdeal0(xJ)
    | spl10_5 ),
    inference(resolution,[],[f192,f108]) ).

fof(f108,plain,
    ! [X0] :
      ( aSet0(X0)
      | ~ aIdeal0(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [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(ennf_transformation,[],[f39]) ).

fof(f39,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(unused_predicate_definition_removal,[],[f35]) ).

fof(f35,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/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).

fof(f192,plain,
    ( ~ aSet0(xJ)
    | spl10_5 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f187,plain,
    spl10_3,
    inference(avatar_contradiction_clause,[],[f186]) ).

fof(f186,plain,
    ( $false
    | spl10_3 ),
    inference(subsumption_resolution,[],[f184,f90]) ).

fof(f90,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f25]) ).

fof(f184,plain,
    ( ~ aIdeal0(xI)
    | spl10_3 ),
    inference(resolution,[],[f177,f108]) ).

fof(f177,plain,
    ( ~ aSet0(xI)
    | spl10_3 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f172,plain,
    ( ~ spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f107,f169,f165]) ).

fof(f107,plain,
    ( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
    | ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
    | ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ ( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
      & aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    ( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
    & aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : RNG091+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.15  % 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
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 12:25:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.59/0.78  % (25380)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.59/0.78  % (25376)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.59/0.78  % (25375)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.59/0.78  % (25373)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 theBenchmark for (2995ds/34Mi)
% 0.59/0.78  % (25379)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 theBenchmark for (2995ds/83Mi)
% 0.59/0.78  % (25377)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 theBenchmark for (2995ds/34Mi)
% 0.59/0.78  % (25378)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.59/0.78  % (25374)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 theBenchmark for (2995ds/51Mi)
% 0.59/0.78  % (25380)Refutation not found, incomplete strategy% (25380)------------------------------
% 0.59/0.78  % (25380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25380)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25380)Memory used [KB]: 1058
% 0.59/0.78  % (25380)Time elapsed: 0.003 s
% 0.59/0.78  % (25380)Instructions burned: 5 (million)
% 0.59/0.78  % (25380)------------------------------
% 0.59/0.78  % (25380)------------------------------
% 0.59/0.78  % (25377)Refutation not found, incomplete strategy% (25377)------------------------------
% 0.59/0.78  % (25377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25377)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25377)Memory used [KB]: 1219
% 0.59/0.78  % (25377)Time elapsed: 0.006 s
% 0.59/0.78  % (25377)Instructions burned: 9 (million)
% 0.59/0.78  % (25373)Refutation not found, incomplete strategy% (25373)------------------------------
% 0.59/0.78  % (25373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25373)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25373)Memory used [KB]: 1111
% 0.59/0.78  % (25373)Time elapsed: 0.006 s
% 0.59/0.78  % (25373)Instructions burned: 9 (million)
% 0.59/0.78  % (25377)------------------------------
% 0.59/0.78  % (25377)------------------------------
% 0.59/0.78  % (25373)------------------------------
% 0.59/0.78  % (25373)------------------------------
% 0.59/0.78  % (25381)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 theBenchmark for (2995ds/55Mi)
% 0.59/0.79  % (25383)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.59/0.79  % (25382)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 theBenchmark for (2995ds/50Mi)
% 0.59/0.79  % (25376)Instruction limit reached!
% 0.59/0.79  % (25376)------------------------------
% 0.59/0.79  % (25376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25376)Termination reason: Unknown
% 0.59/0.79  % (25376)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (25376)Memory used [KB]: 1572
% 0.59/0.79  % (25376)Time elapsed: 0.018 s
% 0.59/0.79  % (25376)Instructions burned: 35 (million)
% 0.59/0.79  % (25376)------------------------------
% 0.59/0.79  % (25376)------------------------------
% 0.59/0.80  % (25384)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 theBenchmark for (2995ds/52Mi)
% 0.59/0.80  % (25381)Instruction limit reached!
% 0.59/0.80  % (25381)------------------------------
% 0.59/0.80  % (25381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (25381)Termination reason: Unknown
% 0.59/0.80  % (25381)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (25381)Memory used [KB]: 2023
% 0.59/0.80  % (25381)Time elapsed: 0.018 s
% 0.59/0.80  % (25381)Instructions burned: 55 (million)
% 0.59/0.80  % (25381)------------------------------
% 0.59/0.80  % (25381)------------------------------
% 0.59/0.80  % (25378)Instruction limit reached!
% 0.59/0.80  % (25378)------------------------------
% 0.59/0.80  % (25378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (25378)Termination reason: Unknown
% 0.59/0.80  % (25378)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (25378)Memory used [KB]: 1482
% 0.59/0.80  % (25378)Time elapsed: 0.026 s
% 0.59/0.80  % (25378)Instructions burned: 46 (million)
% 0.59/0.80  % (25378)------------------------------
% 0.59/0.80  % (25378)------------------------------
% 0.59/0.80  % (25385)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 theBenchmark for (2995ds/518Mi)
% 0.59/0.81  % (25386)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 theBenchmark for (2995ds/42Mi)
% 0.59/0.81  % (25374)Instruction limit reached!
% 0.59/0.81  % (25374)------------------------------
% 0.59/0.81  % (25374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (25374)Termination reason: Unknown
% 0.59/0.81  % (25374)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (25374)Memory used [KB]: 1798
% 0.59/0.81  % (25374)Time elapsed: 0.033 s
% 0.59/0.81  % (25374)Instructions burned: 52 (million)
% 0.59/0.81  % (25374)------------------------------
% 0.59/0.81  % (25374)------------------------------
% 0.59/0.81  % (25382)Instruction limit reached!
% 0.59/0.81  % (25382)------------------------------
% 0.59/0.81  % (25382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (25382)Termination reason: Unknown
% 0.59/0.81  % (25382)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (25382)Memory used [KB]: 1574
% 0.59/0.81  % (25382)Time elapsed: 0.026 s
% 0.59/0.81  % (25382)Instructions burned: 50 (million)
% 0.59/0.81  % (25382)------------------------------
% 0.59/0.81  % (25382)------------------------------
% 0.59/0.81  % (25379)Instruction limit reached!
% 0.59/0.81  % (25379)------------------------------
% 0.59/0.81  % (25379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (25379)Termination reason: Unknown
% 0.59/0.81  % (25379)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (25379)Memory used [KB]: 2215
% 0.59/0.81  % (25379)Time elapsed: 0.037 s
% 0.59/0.81  % (25379)Instructions burned: 83 (million)
% 0.59/0.81  % (25379)------------------------------
% 0.59/0.81  % (25379)------------------------------
% 0.59/0.82  % (25387)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 theBenchmark for (2995ds/243Mi)
% 0.59/0.82  % (25389)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 theBenchmark for (2995ds/143Mi)
% 0.59/0.82  % (25388)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.78/0.82  % (25375)Instruction limit reached!
% 0.78/0.82  % (25375)------------------------------
% 0.78/0.82  % (25375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.82  % (25375)Termination reason: Unknown
% 0.78/0.82  % (25375)Termination phase: Saturation
% 0.78/0.82  
% 0.78/0.82  % (25375)Memory used [KB]: 2162
% 0.78/0.82  % (25375)Time elapsed: 0.042 s
% 0.78/0.82  % (25375)Instructions burned: 78 (million)
% 0.78/0.82  % (25375)------------------------------
% 0.78/0.82  % (25375)------------------------------
% 0.78/0.83  % (25384)Instruction limit reached!
% 0.78/0.83  % (25384)------------------------------
% 0.78/0.83  % (25384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.83  % (25384)Termination reason: Unknown
% 0.78/0.83  % (25384)Termination phase: Saturation
% 0.78/0.83  
% 0.78/0.83  % (25384)Memory used [KB]: 1777
% 0.78/0.83  % (25384)Time elapsed: 0.031 s
% 0.78/0.83  % (25384)Instructions burned: 52 (million)
% 0.78/0.83  % (25384)------------------------------
% 0.78/0.83  % (25384)------------------------------
% 0.78/0.83  % (25386)Instruction limit reached!
% 0.78/0.83  % (25386)------------------------------
% 0.78/0.83  % (25386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.83  % (25386)Termination reason: Unknown
% 0.78/0.83  % (25386)Termination phase: Saturation
% 0.78/0.83  
% 0.78/0.83  % (25386)Memory used [KB]: 1647
% 0.78/0.83  % (25386)Time elapsed: 0.024 s
% 0.78/0.83  % (25386)Instructions burned: 42 (million)
% 0.78/0.83  % (25386)------------------------------
% 0.78/0.83  % (25386)------------------------------
% 0.78/0.83  % (25390)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 theBenchmark for (2995ds/93Mi)
% 0.78/0.83  % (25391)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 theBenchmark for (2995ds/62Mi)
% 0.78/0.83  % (25392)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 theBenchmark for (2995ds/32Mi)
% 0.88/0.85  % (25392)Instruction limit reached!
% 0.88/0.85  % (25392)------------------------------
% 0.88/0.85  % (25392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.85  % (25392)Termination reason: Unknown
% 0.88/0.85  % (25392)Termination phase: Saturation
% 0.88/0.85  
% 0.88/0.85  % (25392)Memory used [KB]: 1457
% 0.88/0.85  % (25392)Time elapsed: 0.019 s
% 0.88/0.85  % (25392)Instructions burned: 32 (million)
% 0.88/0.85  % (25392)------------------------------
% 0.88/0.85  % (25392)------------------------------
% 0.88/0.86  % (25391)Instruction limit reached!
% 0.88/0.86  % (25391)------------------------------
% 0.88/0.86  % (25391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.86  % (25391)Termination reason: Unknown
% 0.88/0.86  % (25391)Termination phase: Saturation
% 0.88/0.86  
% 0.88/0.86  % (25391)Memory used [KB]: 1519
% 0.88/0.86  % (25391)Time elapsed: 0.030 s
% 0.88/0.86  % (25391)Instructions burned: 64 (million)
% 0.88/0.86  % (25391)------------------------------
% 0.88/0.86  % (25391)------------------------------
% 0.88/0.86  % (25394)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 theBenchmark for (2995ds/55Mi)
% 0.88/0.87  % (25393)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 theBenchmark for (2995ds/1919Mi)
% 0.88/0.87  % (25385)First to succeed.
% 0.88/0.88  % (25385)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25372"
% 0.88/0.88  % (25385)Refutation found. Thanks to Tanya!
% 0.88/0.88  % SZS status Theorem for theBenchmark
% 0.88/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 0.88/0.88  % (25385)------------------------------
% 0.88/0.88  % (25385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.88  % (25385)Termination reason: Refutation
% 0.88/0.88  
% 0.88/0.88  % (25385)Memory used [KB]: 3125
% 0.88/0.88  % (25385)Time elapsed: 0.074 s
% 0.88/0.88  % (25385)Instructions burned: 207 (million)
% 0.88/0.88  % (25372)Success in time 0.5 s
% 0.88/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------