TSTP Solution File: NUM534+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM534+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:00:24 EDT 2022

% Result   : Theorem 1.70s 0.63s
% Output   : Refutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   69 (  12 unt;   0 def)
%            Number of atoms       :  355 (  71 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :  437 ( 151   ~; 152   |; 100   &)
%                                         (  23 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :   90 (  86   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1203,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1178,f1192,f1202]) ).

fof(f1202,plain,
    ~ spl8_20,
    inference(avatar_contradiction_clause,[],[f1201]) ).

fof(f1201,plain,
    ( $false
    | ~ spl8_20 ),
    inference(subsumption_resolution,[],[f1200,f82]) ).

fof(f82,plain,
    aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__617_02) ).

fof(f1200,plain,
    ( ~ aElementOf0(xx,xS)
    | ~ spl8_20 ),
    inference(forward_demodulation,[],[f1199,f1177]) ).

fof(f1177,plain,
    ( xx = sK5(xS,sdtmndt0(xS,xx),xx)
    | ~ spl8_20 ),
    inference(avatar_component_clause,[],[f1175]) ).

fof(f1175,plain,
    ( spl8_20
  <=> xx = sK5(xS,sdtmndt0(xS,xx),xx) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).

fof(f1199,plain,
    ( ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS)
    | ~ spl8_20 ),
    inference(subsumption_resolution,[],[f1194,f134]) ).

fof(f134,plain,
    aElement0(xx),
    inference(unit_resulting_resolution,[],[f96,f82,f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | aElement0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

fof(f96,plain,
    aSet0(xS),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    aSet0(xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__617) ).

fof(f1194,plain,
    ( ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS)
    | ~ aElement0(xx)
    | ~ spl8_20 ),
    inference(backward_demodulation,[],[f1130,f1177]) ).

fof(f1130,plain,
    ( ~ aElement0(sK5(xS,sdtmndt0(xS,xx),xx))
    | ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS) ),
    inference(subsumption_resolution,[],[f1129,f207]) ).

fof(f207,plain,
    ( ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS)
    | xx != sK5(xS,sdtmndt0(xS,xx),xx)
    | ~ aElement0(sK5(xS,sdtmndt0(xS,xx),xx)) ),
    inference(subsumption_resolution,[],[f196,f96]) ).

fof(f196,plain,
    ( ~ aSet0(xS)
    | ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS)
    | ~ aElement0(sK5(xS,sdtmndt0(xS,xx),xx))
    | xx != sK5(xS,sdtmndt0(xS,xx),xx) ),
    inference(resolution,[],[f194,f106]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( sP2(X0,X1,X2)
      | ~ aElement0(sK5(X0,X1,X2))
      | ~ aSet0(X0)
      | sK5(X0,X1,X2) != X2
      | ~ aElementOf0(sK5(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | ~ aSet0(X0)
        | ( ( ~ aElementOf0(sK5(X0,X1,X2),X0)
            | ~ aElement0(sK5(X0,X1,X2))
            | ( ~ aElementOf0(sK5(X0,X1,X2),X1)
              & sK5(X0,X1,X2) != X2 ) )
          & ( aElementOf0(sK5(X0,X1,X2),X0)
            | ( aElement0(sK5(X0,X1,X2))
              & ( aElementOf0(sK5(X0,X1,X2),X1)
                | sK5(X0,X1,X2) = X2 ) ) ) ) )
      & ( ( aSet0(X0)
          & ! [X4] :
              ( ( ( aElement0(X4)
                  & ( aElementOf0(X4,X1)
                    | X2 = X4 ) )
                | ~ aElementOf0(X4,X0) )
              & ( aElementOf0(X4,X0)
                | ~ aElement0(X4)
                | ( ~ aElementOf0(X4,X1)
                  & X2 != X4 ) ) ) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f65,f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ aElementOf0(X3,X0)
            | ~ aElement0(X3)
            | ( ~ aElementOf0(X3,X1)
              & X2 != X3 ) )
          & ( aElementOf0(X3,X0)
            | ( aElement0(X3)
              & ( aElementOf0(X3,X1)
                | X2 = X3 ) ) ) )
     => ( ( ~ aElementOf0(sK5(X0,X1,X2),X0)
          | ~ aElement0(sK5(X0,X1,X2))
          | ( ~ aElementOf0(sK5(X0,X1,X2),X1)
            & sK5(X0,X1,X2) != X2 ) )
        & ( aElementOf0(sK5(X0,X1,X2),X0)
          | ( aElement0(sK5(X0,X1,X2))
            & ( aElementOf0(sK5(X0,X1,X2),X1)
              | sK5(X0,X1,X2) = X2 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | ~ aSet0(X0)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X0)
              | ~ aElement0(X3)
              | ( ~ aElementOf0(X3,X1)
                & X2 != X3 ) )
            & ( aElementOf0(X3,X0)
              | ( aElement0(X3)
                & ( aElementOf0(X3,X1)
                  | X2 = X3 ) ) ) ) )
      & ( ( aSet0(X0)
          & ! [X4] :
              ( ( ( aElement0(X4)
                  & ( aElementOf0(X4,X1)
                    | X2 = X4 ) )
                | ~ aElementOf0(X4,X0) )
              & ( aElementOf0(X4,X0)
                | ~ aElement0(X4)
                | ( ~ aElementOf0(X4,X1)
                  & X2 != X4 ) ) ) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(rectify,[],[f64]) ).

fof(f64,plain,
    ! [X2,X1,X0] :
      ( ( sP2(X2,X1,X0)
        | ~ aSet0(X2)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X2)
              | ~ aElement0(X3)
              | ( ~ aElementOf0(X3,X1)
                & X0 != X3 ) )
            & ( aElementOf0(X3,X2)
              | ( aElement0(X3)
                & ( aElementOf0(X3,X1)
                  | X0 = X3 ) ) ) ) )
      & ( ( aSet0(X2)
          & ! [X3] :
              ( ( ( aElement0(X3)
                  & ( aElementOf0(X3,X1)
                    | X0 = X3 ) )
                | ~ aElementOf0(X3,X2) )
              & ( aElementOf0(X3,X2)
                | ~ aElement0(X3)
                | ( ~ aElementOf0(X3,X1)
                  & X0 != X3 ) ) ) )
        | ~ sP2(X2,X1,X0) ) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X2,X1,X0] :
      ( ( sP2(X2,X1,X0)
        | ~ aSet0(X2)
        | ? [X3] :
            ( ( ~ aElementOf0(X3,X2)
              | ~ aElement0(X3)
              | ( ~ aElementOf0(X3,X1)
                & X0 != X3 ) )
            & ( aElementOf0(X3,X2)
              | ( aElement0(X3)
                & ( aElementOf0(X3,X1)
                  | X0 = X3 ) ) ) ) )
      & ( ( aSet0(X2)
          & ! [X3] :
              ( ( ( aElement0(X3)
                  & ( aElementOf0(X3,X1)
                    | X0 = X3 ) )
                | ~ aElementOf0(X3,X2) )
              & ( aElementOf0(X3,X2)
                | ~ aElement0(X3)
                | ( ~ aElementOf0(X3,X1)
                  & X0 != X3 ) ) ) )
        | ~ sP2(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X2,X1,X0] :
      ( sP2(X2,X1,X0)
    <=> ( aSet0(X2)
        & ! [X3] :
            ( ( aElement0(X3)
              & ( aElementOf0(X3,X1)
                | X0 = X3 ) )
          <=> aElementOf0(X3,X2) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f194,plain,
    ~ sP2(xS,sdtmndt0(xS,xx),xx),
    inference(unit_resulting_resolution,[],[f123,f141,f98]) ).

fof(f98,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X2,X1,X0)
      | ~ sP3(X0,X1)
      | sdtpldt0(X1,X0) = X2 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt0(X1,X0) = X2
            | ~ sP2(X2,X1,X0) )
          & ( sP2(X2,X1,X0)
            | sdtpldt0(X1,X0) != X2 ) )
      | ~ sP3(X0,X1) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtpldt0(X1,X0) = X2
        <=> sP2(X2,X1,X0) )
      | ~ sP3(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f141,plain,
    sP3(xx,sdtmndt0(xS,xx)),
    inference(unit_resulting_resolution,[],[f134,f118,f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( sP3(X1,X0)
      | ~ aElement0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | sP3(X1,X0) ),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ! [X1,X0] :
      ( ~ aElement0(X0)
      | ~ aSet0(X1)
      | sP3(X0,X1) ),
    inference(definition_folding,[],[f39,f51,f50]) ).

fof(f39,plain,
    ! [X1,X0] :
      ( ~ aElement0(X0)
      | ~ aSet0(X1)
      | ! [X2] :
          ( sdtpldt0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( ( aElement0(X3)
                  & ( aElementOf0(X3,X1)
                    | X0 = X3 ) )
              <=> aElementOf0(X3,X2) ) ) ) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtpldt0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( ( aElement0(X3)
                  & ( aElementOf0(X3,X1)
                    | X0 = X3 ) )
              <=> aElementOf0(X3,X2) ) ) )
      | ~ aElement0(X0)
      | ~ aSet0(X1) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( aElement0(X0)
        & aSet0(X1) )
     => ! [X2] :
          ( sdtpldt0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( ( aElement0(X3)
                  & ( aElementOf0(X3,X1)
                    | X0 = X3 ) )
              <=> aElementOf0(X3,X2) ) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X1,X0] :
      ( ( aSet0(X0)
        & aElement0(X1) )
     => ! [X2] :
          ( ( ! [X3] :
                ( ( aElement0(X3)
                  & ( aElementOf0(X3,X0)
                    | X1 = X3 ) )
              <=> aElementOf0(X3,X2) )
            & aSet0(X2) )
        <=> sdtpldt0(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).

fof(f118,plain,
    aSet0(sdtmndt0(xS,xx)),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
    & ! [X0] :
        ( ( ( xx != X0
            & aElementOf0(X0,xS)
            & aElement0(X0) )
          | ~ aElementOf0(X0,sdtmndt0(xS,xx)) )
        & ( aElementOf0(X0,sdtmndt0(xS,xx))
          | xx = X0
          | ~ aElementOf0(X0,xS)
          | ~ aElement0(X0) ) )
    & aSet0(sdtmndt0(xS,xx))
    & aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
    & ! [X1] :
        ( ( ( ( xx = X1
              | aElementOf0(X1,sdtmndt0(xS,xx)) )
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
        & ( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
          | ( xx != X1
            & ~ aElementOf0(X1,sdtmndt0(xS,xx)) )
          | ~ aElement0(X1) ) ) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
    & ! [X0] :
        ( ( ( xx != X0
            & aElementOf0(X0,xS)
            & aElement0(X0) )
          | ~ aElementOf0(X0,sdtmndt0(xS,xx)) )
        & ( aElementOf0(X0,sdtmndt0(xS,xx))
          | xx = X0
          | ~ aElementOf0(X0,xS)
          | ~ aElement0(X0) ) )
    & aSet0(sdtmndt0(xS,xx))
    & aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
    & ! [X1] :
        ( ( ( ( xx = X1
              | aElementOf0(X1,sdtmndt0(xS,xx)) )
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
        & ( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
          | ( xx != X1
            & ~ aElementOf0(X1,sdtmndt0(xS,xx)) )
          | ~ aElement0(X1) ) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
    & ! [X0] :
        ( ( xx != X0
          & aElementOf0(X0,xS)
          & aElement0(X0) )
      <=> aElementOf0(X0,sdtmndt0(xS,xx)) )
    & aSet0(sdtmndt0(xS,xx))
    & aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
    & ! [X1] :
        ( ( ( xx = X1
            | aElementOf0(X1,sdtmndt0(xS,xx)) )
          & aElement0(X1) )
      <=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
    & ! [X1] :
        ( ( ( xx = X1
            | aElementOf0(X1,sdtmndt0(xS,xx)) )
          & aElement0(X1) )
      <=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
    & aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
    & ! [X0] :
        ( ( xx != X0
          & aElementOf0(X0,xS)
          & aElement0(X0) )
      <=> aElementOf0(X0,sdtmndt0(xS,xx)) )
    & aSet0(sdtmndt0(xS,xx)) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ( ( ! [X0] :
            ( ( xx != X0
              & aElementOf0(X0,xS)
              & aElement0(X0) )
          <=> aElementOf0(X0,sdtmndt0(xS,xx)) )
        & aSet0(sdtmndt0(xS,xx)) )
     => ( ( ! [X1] :
              ( ( ( xx = X1
                  | aElementOf0(X1,sdtmndt0(xS,xx)) )
                & aElement0(X1) )
            <=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
          & aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
       => xS = sdtpldt0(sdtmndt0(xS,xx),xx) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ( ( ! [X0] :
            ( ( xx != X0
              & aElementOf0(X0,xS)
              & aElement0(X0) )
          <=> aElementOf0(X0,sdtmndt0(xS,xx)) )
        & aSet0(sdtmndt0(xS,xx)) )
     => ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
          & ! [X0] :
              ( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
            <=> ( ( aElementOf0(X0,sdtmndt0(xS,xx))
                  | xx = X0 )
                & aElement0(X0) ) ) )
       => xS = sdtpldt0(sdtmndt0(xS,xx),xx) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ( ( ! [X0] :
          ( ( xx != X0
            & aElementOf0(X0,xS)
            & aElement0(X0) )
        <=> aElementOf0(X0,sdtmndt0(xS,xx)) )
      & aSet0(sdtmndt0(xS,xx)) )
   => ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
        & ! [X0] :
            ( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
          <=> ( ( aElementOf0(X0,sdtmndt0(xS,xx))
                | xx = X0 )
              & aElement0(X0) ) ) )
     => xS = sdtpldt0(sdtmndt0(xS,xx),xx) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f123,plain,
    xS != sdtpldt0(sdtmndt0(xS,xx),xx),
    inference(cnf_transformation,[],[f71]) ).

fof(f1129,plain,
    ( ~ aElement0(sK5(xS,sdtmndt0(xS,xx),xx))
    | xx = sK5(xS,sdtmndt0(xS,xx),xx)
    | ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS) ),
    inference(resolution,[],[f204,f119]) ).

fof(f119,plain,
    ! [X0] :
      ( aElementOf0(X0,sdtmndt0(xS,xx))
      | ~ aElementOf0(X0,xS)
      | ~ aElement0(X0)
      | xx = X0 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f204,plain,
    ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx)),
    inference(subsumption_resolution,[],[f203,f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtmndt0(xS,xx))
      | aElement0(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f203,plain,
    ( ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
    | ~ aElement0(sK5(xS,sdtmndt0(xS,xx),xx)) ),
    inference(subsumption_resolution,[],[f202,f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,sdtmndt0(xS,xx))
      | aElementOf0(X0,xS) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f202,plain,
    ( ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
    | ~ aElement0(sK5(xS,sdtmndt0(xS,xx),xx))
    | ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS) ),
    inference(subsumption_resolution,[],[f199,f96]) ).

fof(f199,plain,
    ( ~ aElement0(sK5(xS,sdtmndt0(xS,xx),xx))
    | ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
    | ~ aSet0(xS)
    | ~ aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS) ),
    inference(resolution,[],[f194,f107]) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( sP2(X0,X1,X2)
      | ~ aElement0(sK5(X0,X1,X2))
      | ~ aSet0(X0)
      | ~ aElementOf0(sK5(X0,X1,X2),X0)
      | ~ aElementOf0(sK5(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f1192,plain,
    ( ~ spl8_18
    | spl8_20 ),
    inference(avatar_contradiction_clause,[],[f1191]) ).

fof(f1191,plain,
    ( $false
    | ~ spl8_18
    | spl8_20 ),
    inference(subsumption_resolution,[],[f1184,f1173]) ).

fof(f1173,plain,
    ( aElement0(sK5(xS,sdtmndt0(xS,xx),xx))
    | ~ spl8_18 ),
    inference(subsumption_resolution,[],[f1172,f96]) ).

fof(f1172,plain,
    ( ~ aSet0(xS)
    | aElement0(sK5(xS,sdtmndt0(xS,xx),xx))
    | ~ spl8_18 ),
    inference(resolution,[],[f1160,f112]) ).

fof(f1160,plain,
    ( aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS)
    | ~ spl8_18 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f1158,plain,
    ( spl8_18
  <=> aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).

fof(f1184,plain,
    ( ~ aElement0(sK5(xS,sdtmndt0(xS,xx),xx))
    | ~ spl8_18
    | spl8_20 ),
    inference(unit_resulting_resolution,[],[f1160,f204,f1176,f119]) ).

fof(f1176,plain,
    ( xx != sK5(xS,sdtmndt0(xS,xx),xx)
    | spl8_20 ),
    inference(avatar_component_clause,[],[f1175]) ).

fof(f1178,plain,
    ( spl8_18
    | spl8_20 ),
    inference(avatar_split_clause,[],[f206,f1175,f1158]) ).

fof(f206,plain,
    ( xx = sK5(xS,sdtmndt0(xS,xx),xx)
    | aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS) ),
    inference(subsumption_resolution,[],[f205,f204]) ).

fof(f205,plain,
    ( aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS)
    | aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
    | xx = sK5(xS,sdtmndt0(xS,xx),xx) ),
    inference(subsumption_resolution,[],[f200,f96]) ).

fof(f200,plain,
    ( xx = sK5(xS,sdtmndt0(xS,xx),xx)
    | ~ aSet0(xS)
    | aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),sdtmndt0(xS,xx))
    | aElementOf0(sK5(xS,sdtmndt0(xS,xx),xx),xS) ),
    inference(resolution,[],[f194,f104]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( sP2(X0,X1,X2)
      | aElementOf0(sK5(X0,X1,X2),X1)
      | ~ aSet0(X0)
      | sK5(X0,X1,X2) = X2
      | aElementOf0(sK5(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM534+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 07:08:03 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (493)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (498)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51  % (510)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (520)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (531)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52  % (492)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (492)Instruction limit reached!
% 0.19/0.52  % (492)------------------------------
% 0.19/0.52  % (492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (492)Termination reason: Unknown
% 0.19/0.52  % (492)Termination phase: Property scanning
% 0.19/0.52  
% 0.19/0.52  % (492)Memory used [KB]: 1407
% 0.19/0.52  % (492)Time elapsed: 0.002 s
% 0.19/0.52  % (492)Instructions burned: 3 (million)
% 0.19/0.52  % (492)------------------------------
% 0.19/0.52  % (492)------------------------------
% 0.19/0.52  % (496)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52  % (517)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (496)Refutation not found, incomplete strategy% (496)------------------------------
% 0.19/0.52  % (496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (528)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53  % (500)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53  % (501)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53  % (521)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (521)Instruction limit reached!
% 0.19/0.53  % (521)------------------------------
% 0.19/0.53  % (521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (521)Termination reason: Unknown
% 0.19/0.53  % (521)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (521)Memory used [KB]: 1407
% 0.19/0.53  % (521)Time elapsed: 0.003 s
% 0.19/0.53  % (521)Instructions burned: 3 (million)
% 0.19/0.53  % (521)------------------------------
% 0.19/0.53  % (521)------------------------------
% 0.19/0.53  % (497)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53  % (505)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53  % (490)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53  % (527)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (501)Instruction limit reached!
% 0.19/0.53  % (501)------------------------------
% 0.19/0.53  % (501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (501)Termination reason: Unknown
% 0.19/0.53  % (501)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (501)Memory used [KB]: 6140
% 0.19/0.53  % (501)Time elapsed: 0.131 s
% 0.19/0.53  % (501)Instructions burned: 12 (million)
% 0.19/0.53  % (501)------------------------------
% 0.19/0.53  % (501)------------------------------
% 0.19/0.53  % (526)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.54  % (533)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54  % (505)Refutation not found, incomplete strategy% (505)------------------------------
% 0.19/0.54  % (505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (530)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (505)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (505)Memory used [KB]: 1535
% 0.19/0.54  % (505)Time elapsed: 0.136 s
% 0.19/0.54  % (505)Instructions burned: 4 (million)
% 0.19/0.54  % (496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (496)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (496)Memory used [KB]: 1535
% 0.19/0.54  % (496)Time elapsed: 0.128 s
% 0.19/0.54  % (496)Instructions burned: 5 (million)
% 0.19/0.54  % (496)------------------------------
% 0.19/0.54  % (496)------------------------------
% 0.19/0.54  % (505)------------------------------
% 0.19/0.54  % (505)------------------------------
% 0.19/0.54  % (532)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (525)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.45/0.54  % (535)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.45/0.54  % (491)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.45/0.54  % (494)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.45/0.55  % (517)Instruction limit reached!
% 1.45/0.55  % (517)------------------------------
% 1.45/0.55  % (517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55  % (517)Termination reason: Unknown
% 1.45/0.55  % (517)Termination phase: Saturation
% 1.45/0.55  
% 1.45/0.55  % (517)Memory used [KB]: 6012
% 1.45/0.55  % (517)Time elapsed: 0.004 s
% 1.45/0.55  % (517)Instructions burned: 4 (million)
% 1.45/0.55  % (517)------------------------------
% 1.45/0.55  % (517)------------------------------
% 1.45/0.55  % (502)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.55  % (520)Instruction limit reached!
% 1.45/0.55  % (520)------------------------------
% 1.45/0.55  % (520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55  % (520)Termination reason: Unknown
% 1.45/0.55  % (520)Termination phase: Property scanning
% 1.45/0.55  
% 1.45/0.55  % (520)Memory used [KB]: 1407
% 1.45/0.55  % (520)Time elapsed: 0.004 s
% 1.45/0.55  % (520)Instructions burned: 3 (million)
% 1.45/0.55  % (520)------------------------------
% 1.45/0.55  % (520)------------------------------
% 1.45/0.55  % (502)Instruction limit reached!
% 1.45/0.55  % (502)------------------------------
% 1.45/0.55  % (502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (534)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.45/0.55  % (519)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.56  % (534)Instruction limit reached!
% 1.45/0.56  % (534)------------------------------
% 1.45/0.56  % (534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56  % (502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56  % (502)Termination reason: Unknown
% 1.45/0.56  % (502)Termination phase: Saturation
% 1.45/0.56  
% 1.45/0.56  % (502)Memory used [KB]: 6012
% 1.45/0.56  % (502)Time elapsed: 0.151 s
% 1.45/0.56  % (502)Instructions burned: 7 (million)
% 1.45/0.56  % (502)------------------------------
% 1.45/0.56  % (502)------------------------------
% 1.45/0.56  % (534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56  % (534)Termination reason: Unknown
% 1.45/0.56  % (534)Termination phase: Saturation
% 1.45/0.56  
% 1.45/0.56  % (534)Memory used [KB]: 6140
% 1.45/0.56  % (534)Time elapsed: 0.161 s
% 1.45/0.56  % (534)Instructions burned: 9 (million)
% 1.45/0.56  % (534)------------------------------
% 1.45/0.56  % (534)------------------------------
% 1.45/0.56  % (525)Instruction limit reached!
% 1.45/0.56  % (525)------------------------------
% 1.45/0.56  % (525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56  % (518)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.56  % (525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56  % (525)Termination reason: Unknown
% 1.45/0.56  % (525)Termination phase: Saturation
% 1.45/0.56  
% 1.45/0.56  % (525)Memory used [KB]: 6268
% 1.45/0.56  % (525)Time elapsed: 0.169 s
% 1.45/0.56  % (525)Instructions burned: 11 (million)
% 1.45/0.56  % (525)------------------------------
% 1.45/0.56  % (525)------------------------------
% 1.45/0.57  % (526)Instruction limit reached!
% 1.45/0.57  % (526)------------------------------
% 1.45/0.57  % (526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.57  % (526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.57  % (526)Termination reason: Unknown
% 1.45/0.57  % (526)Termination phase: Saturation
% 1.45/0.57  
% 1.45/0.57  % (526)Memory used [KB]: 6268
% 1.45/0.57  % (526)Time elapsed: 0.158 s
% 1.45/0.57  % (526)Instructions burned: 30 (million)
% 1.45/0.57  % (526)------------------------------
% 1.45/0.57  % (526)------------------------------
% 1.70/0.57  % (491)Instruction limit reached!
% 1.70/0.57  % (491)------------------------------
% 1.70/0.57  % (491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57  % (491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57  % (491)Termination reason: Unknown
% 1.70/0.57  % (491)Termination phase: Saturation
% 1.70/0.57  
% 1.70/0.57  % (491)Memory used [KB]: 6140
% 1.70/0.57  % (491)Time elapsed: 0.153 s
% 1.70/0.57  % (491)Instructions burned: 13 (million)
% 1.70/0.57  % (491)------------------------------
% 1.70/0.57  % (491)------------------------------
% 1.70/0.57  % (494)Instruction limit reached!
% 1.70/0.57  % (494)------------------------------
% 1.70/0.57  % (494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57  % (494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57  % (494)Termination reason: Unknown
% 1.70/0.57  % (494)Termination phase: Saturation
% 1.70/0.57  
% 1.70/0.57  % (494)Memory used [KB]: 6140
% 1.70/0.57  % (494)Time elapsed: 0.150 s
% 1.70/0.57  % (494)Instructions burned: 13 (million)
% 1.70/0.57  % (494)------------------------------
% 1.70/0.57  % (494)------------------------------
% 1.70/0.57  % (499)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.70/0.57  % (529)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.70/0.58  % (533)Instruction limit reached!
% 1.70/0.58  % (533)------------------------------
% 1.70/0.58  % (533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58  % (533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58  % (533)Termination reason: Unknown
% 1.70/0.58  % (533)Termination phase: Saturation
% 1.70/0.58  
% 1.70/0.58  % (533)Memory used [KB]: 6396
% 1.70/0.58  % (533)Time elapsed: 0.164 s
% 1.70/0.58  % (533)Instructions burned: 25 (million)
% 1.70/0.58  % (533)------------------------------
% 1.70/0.58  % (533)------------------------------
% 1.70/0.59  % (518)Instruction limit reached!
% 1.70/0.59  % (518)------------------------------
% 1.70/0.59  % (518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59  % (500)Instruction limit reached!
% 1.70/0.59  % (500)------------------------------
% 1.70/0.59  % (500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59  % (500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59  % (500)Termination reason: Unknown
% 1.70/0.59  % (500)Termination phase: Saturation
% 1.70/0.59  
% 1.70/0.59  % (500)Memory used [KB]: 6524
% 1.70/0.59  % (500)Time elapsed: 0.191 s
% 1.70/0.59  % (500)Instructions burned: 33 (million)
% 1.70/0.59  % (500)------------------------------
% 1.70/0.59  % (500)------------------------------
% 1.70/0.59  % (518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59  % (518)Termination reason: Unknown
% 1.70/0.59  % (518)Termination phase: Saturation
% 1.70/0.59  
% 1.70/0.59  % (518)Memory used [KB]: 6012
% 1.70/0.59  % (518)Time elapsed: 0.173 s
% 1.70/0.59  % (518)Instructions burned: 7 (million)
% 1.70/0.59  % (518)------------------------------
% 1.70/0.59  % (518)------------------------------
% 1.70/0.59  % (535)Instruction limit reached!
% 1.70/0.59  % (535)------------------------------
% 1.70/0.59  % (535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59  % (535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59  % (535)Termination reason: Unknown
% 1.70/0.59  % (535)Termination phase: Saturation
% 1.70/0.59  
% 1.70/0.59  % (535)Memory used [KB]: 6140
% 1.70/0.59  % (535)Time elapsed: 0.188 s
% 1.70/0.59  % (535)Instructions burned: 24 (million)
% 1.70/0.59  % (535)------------------------------
% 1.70/0.59  % (535)------------------------------
% 1.70/0.60  % (493)Instruction limit reached!
% 1.70/0.60  % (493)------------------------------
% 1.70/0.60  % (493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60  % (493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60  % (493)Termination reason: Unknown
% 1.70/0.60  % (493)Termination phase: Saturation
% 1.70/0.60  
% 1.70/0.60  % (493)Memory used [KB]: 7036
% 1.70/0.60  % (493)Time elapsed: 0.187 s
% 1.70/0.60  % (493)Instructions burned: 52 (million)
% 1.70/0.60  % (493)------------------------------
% 1.70/0.60  % (493)------------------------------
% 1.70/0.60  % (498)Instruction limit reached!
% 1.70/0.60  % (498)------------------------------
% 1.70/0.60  % (498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60  % (498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60  % (498)Termination reason: Unknown
% 1.70/0.60  % (498)Termination phase: Saturation
% 1.70/0.60  
% 1.70/0.60  % (498)Memory used [KB]: 6396
% 1.70/0.60  % (498)Time elapsed: 0.195 s
% 1.70/0.60  % (498)Instructions burned: 40 (million)
% 1.70/0.60  % (498)------------------------------
% 1.70/0.60  % (498)------------------------------
% 1.70/0.60  % (510)Instruction limit reached!
% 1.70/0.60  % (510)------------------------------
% 1.70/0.60  % (510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60  % (510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60  % (510)Termination reason: Unknown
% 1.70/0.60  % (510)Termination phase: Saturation
% 1.70/0.60  
% 1.70/0.60  % (510)Memory used [KB]: 6780
% 1.70/0.60  % (510)Time elapsed: 0.184 s
% 1.70/0.60  % (510)Instructions burned: 52 (million)
% 1.70/0.60  % (510)------------------------------
% 1.70/0.60  % (510)------------------------------
% 1.70/0.61  % (497)Instruction limit reached!
% 1.70/0.61  % (497)------------------------------
% 1.70/0.61  % (497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.61  % (497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.61  % (497)Termination reason: Unknown
% 1.70/0.61  % (497)Termination phase: Saturation
% 1.70/0.61  
% 1.70/0.61  % (497)Memory used [KB]: 6524
% 1.70/0.61  % (497)Time elapsed: 0.178 s
% 1.70/0.61  % (497)Instructions burned: 39 (million)
% 1.70/0.61  % (497)------------------------------
% 1.70/0.61  % (497)------------------------------
% 1.70/0.63  % (527)First to succeed.
% 1.70/0.63  % (527)Refutation found. Thanks to Tanya!
% 1.70/0.63  % SZS status Theorem for theBenchmark
% 1.70/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.63  % (527)------------------------------
% 1.70/0.63  % (527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.63  % (527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.63  % (527)Termination reason: Refutation
% 1.70/0.63  
% 1.70/0.63  % (527)Memory used [KB]: 6524
% 1.70/0.63  % (527)Time elapsed: 0.217 s
% 1.70/0.63  % (527)Instructions burned: 49 (million)
% 1.70/0.63  % (527)------------------------------
% 1.70/0.63  % (527)------------------------------
% 1.70/0.63  % (489)Success in time 0.267 s
%------------------------------------------------------------------------------