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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM537+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:49:28 PM UTC 2026

% Result   : Theorem 0.24s 0.65s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   62 (  11 unt;   0 def)
%            Number of atoms       : 1026 ( 177 equ)
%            Maximal formula atoms :  676 (  16 avg)
%            Number of connectives : 1487 ( 523   ~; 694   |; 229   &)
%                                         (  18 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  176 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   93 (   0 sgn  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( ( ! [X1] :
            ( aElementOf0(X1,sdtpldt0(xS,xx))
          <=> ( ( X1 = xx
                | aElementOf0(X1,xS) )
              & aElement0(X1) ) )
        & aSet0(sdtpldt0(xS,xx)) )
     => ( ( ! [X1] :
              ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
            <=> ( X1 != xx
                & aElementOf0(X1,sdtpldt0(xS,xx))
                & aElement0(X1) ) )
          & aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
       => ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
          | ! [X1] :
              ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
             => aElementOf0(X1,xS) ) ) ) )
    & ( ( ! [X1] :
            ( aElementOf0(X1,sdtpldt0(xS,xx))
          <=> ( ( X1 = xx
                | aElementOf0(X1,xS) )
              & aElement0(X1) ) )
        & aSet0(sdtpldt0(xS,xx)) )
     => ( ( ! [X1] :
              ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
            <=> ( X1 != xx
                & aElementOf0(X1,sdtpldt0(xS,xx))
                & aElement0(X1) ) )
          & aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
       => ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
          | ! [X1] :
              ( aElementOf0(X1,xS)
             => aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(mDefDiff,axiom,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtmndt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( X4 != X2
                  & aElementOf0(X4,X1)
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).

fof(mEOfElem,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(mDefCons,axiom,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtpldt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( ( X4 = X2
                    | aElementOf0(X4,X1) )
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).

fof(m__679,hypothesis,
    ( aSet0(xS)
    & aElement0(xx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__679) ).

fof(m__679_02,hypothesis,
    ~ aElementOf0(xx,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__679_02) ).

fof(c_0_6,negated_conjecture,
    ~ ( ( ( ! [X1] :
              ( aElementOf0(X1,sdtpldt0(xS,xx))
            <=> ( ( X1 = xx
                  | aElementOf0(X1,xS) )
                & aElement0(X1) ) )
          & aSet0(sdtpldt0(xS,xx)) )
       => ( ( ! [X1] :
                ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
              <=> ( X1 != xx
                  & aElementOf0(X1,sdtpldt0(xS,xx))
                  & aElement0(X1) ) )
            & aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
         => ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
            | ! [X1] :
                ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
               => aElementOf0(X1,xS) ) ) ) )
      & ( ( ! [X1] :
              ( aElementOf0(X1,sdtpldt0(xS,xx))
            <=> ( ( X1 = xx
                  | aElementOf0(X1,xS) )
                & aElement0(X1) ) )
          & aSet0(sdtpldt0(xS,xx)) )
       => ( ( ! [X1] :
                ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
              <=> ( X1 != xx
                  & aElementOf0(X1,sdtpldt0(xS,xx))
                  & aElement0(X1) ) )
            & aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
         => ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
            | ! [X1] :
                ( aElementOf0(X1,xS)
               => aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_7,plain,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtmndt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( X4 != X2
                  & aElementOf0(X4,X1)
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefDiff]) ).

fof(c_0_8,negated_conjecture,
    ~ ( ( ( ! [X1] :
              ( aElementOf0(X1,sdtpldt0(xS,xx))
            <=> ( ( X1 = xx
                  | aElementOf0(X1,xS) )
                & aElement0(X1) ) )
          & aSet0(sdtpldt0(xS,xx)) )
       => ( ( ! [X1] :
                ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
              <=> ( X1 != xx
                  & aElementOf0(X1,sdtpldt0(xS,xx))
                  & aElement0(X1) ) )
            & aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
         => ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
            | ! [X1] :
                ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
               => aElementOf0(X1,xS) ) ) ) )
      & ( ( ! [X1] :
              ( aElementOf0(X1,sdtpldt0(xS,xx))
            <=> ( ( X1 = xx
                  | aElementOf0(X1,xS) )
                & aElement0(X1) ) )
          & aSet0(sdtpldt0(xS,xx)) )
       => ( ( ! [X1] :
                ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
              <=> ( X1 != xx
                  & aElementOf0(X1,sdtpldt0(xS,xx))
                  & aElement0(X1) ) )
            & aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
         => ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
            | ! [X1] :
                ( aElementOf0(X1,xS)
               => aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X37,X38,X39,X40,X41,X42] :
      ( ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X42 = sdtmndt0(X37,X38)
        | ~ aSet0(X42)
        | aElementOf0(esk4_3(X37,X38,X42),X42)
        | esk4_3(X37,X38,X42) != X38 )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X42 = sdtmndt0(X37,X38)
        | ~ aSet0(X42)
        | aElementOf0(esk4_3(X37,X38,X42),X42)
        | aElementOf0(esk4_3(X37,X38,X42),X37) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X42 = sdtmndt0(X37,X38)
        | ~ aSet0(X42)
        | aElementOf0(esk4_3(X37,X38,X42),X42)
        | aElement0(esk4_3(X37,X38,X42)) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X42 = sdtmndt0(X37,X38)
        | ~ aSet0(X42)
        | esk4_3(X37,X38,X42) = X38
        | ~ aElementOf0(esk4_3(X37,X38,X42),X37)
        | ~ aElement0(esk4_3(X37,X38,X42))
        | ~ aElementOf0(esk4_3(X37,X38,X42),X42) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X39 != sdtmndt0(X37,X38)
        | aElementOf0(X41,X39)
        | X41 = X38
        | ~ aElementOf0(X41,X37)
        | ~ aElement0(X41) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X39 != sdtmndt0(X37,X38)
        | ~ aElementOf0(X40,X39)
        | X40 != X38 )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X39 != sdtmndt0(X37,X38)
        | ~ aElementOf0(X40,X39)
        | aElementOf0(X40,X37) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X39 != sdtmndt0(X37,X38)
        | ~ aElementOf0(X40,X39)
        | aElement0(X40) )
      & ( ~ aElement0(X38)
        | ~ aSet0(X37)
        | X39 != sdtmndt0(X37,X38)
        | aSet0(X39) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])])]) ).

fof(c_0_10,negated_conjecture,
    ! [X46,X47,X49,X50] :
      ( ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(esk6_0,xS) )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aSet0(sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(esk6_0,xS) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aSet0(sdtpldt0(xS,xx)) )
      & ( aElementOf0(esk5_0,xS)
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( aElementOf0(esk5_0,xS)
        | ~ aElementOf0(esk6_0,xS) )
      & ( aElementOf0(esk5_0,xS)
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aElementOf0(esk5_0,xS)
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( aElementOf0(esk5_0,xS)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( aElementOf0(esk5_0,xS)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( aElementOf0(esk5_0,xS)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( aElementOf0(esk5_0,xS)
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aElementOf0(esk5_0,xS)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( aElementOf0(esk5_0,xS)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( aElementOf0(esk5_0,xS)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( aElementOf0(esk5_0,xS)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( aElementOf0(esk5_0,xS)
        | aSet0(sdtpldt0(xS,xx)) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | ~ aElementOf0(esk6_0,xS) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 = xx
        | ~ aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElement0(X47)
        | aSet0(sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | ~ aElementOf0(esk6_0,xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X47 != xx
        | aSet0(sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElementOf0(esk6_0,xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X47,sdtpldt0(xS,xx))
        | aSet0(sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | ~ aElementOf0(esk6_0,xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( ~ aElementOf0(X47,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X47)
        | aSet0(sdtpldt0(xS,xx)) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(esk6_0,xS) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
        | aSet0(sdtpldt0(xS,xx)) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | ~ aElementOf0(esk6_0,xS) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | X46 != xx
        | aSet0(sdtpldt0(xS,xx)) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | ~ aElementOf0(esk6_0,xS) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( aElementOf0(X46,sdtpldt0(xS,xx))
        | ~ aElement0(X46)
        | ~ aElementOf0(X46,xS)
        | aSet0(sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | ~ aElementOf0(esk6_0,xS) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | X46 = xx
        | aElementOf0(X46,xS)
        | aSet0(sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | ~ aElementOf0(esk6_0,xS) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( ~ aElementOf0(X46,sdtpldt0(xS,xx))
        | aElement0(X46)
        | aSet0(sdtpldt0(xS,xx)) )
      & ( aSet0(sdtpldt0(xS,xx))
        | ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
      & ( aSet0(sdtpldt0(xS,xx))
        | ~ aElementOf0(esk6_0,xS) )
      & ( aSet0(sdtpldt0(xS,xx))
        | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aSet0(sdtpldt0(xS,xx))
        | aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 = xx
        | ~ aElementOf0(X50,sdtpldt0(xS,xx))
        | ~ aElement0(X50) )
      & ( aSet0(sdtpldt0(xS,xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | X50 != xx )
      & ( aSet0(sdtpldt0(xS,xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElementOf0(X50,sdtpldt0(xS,xx)) )
      & ( aSet0(sdtpldt0(xS,xx))
        | ~ aElementOf0(X50,sdtmndt0(sdtpldt0(xS,xx),xx))
        | aElement0(X50) )
      & ( aSet0(sdtpldt0(xS,xx))
        | aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
      & ( aSet0(sdtpldt0(xS,xx))
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | X49 != xx )
      & ( aSet0(sdtpldt0(xS,xx))
        | aElementOf0(X49,sdtpldt0(xS,xx))
        | ~ aElement0(X49)
        | ~ aElementOf0(X49,xS) )
      & ( aSet0(sdtpldt0(xS,xx))
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | X49 = xx
        | aElementOf0(X49,xS) )
      & ( aSet0(sdtpldt0(xS,xx))
        | ~ aElementOf0(X49,sdtpldt0(xS,xx))
        | aElement0(X49) )
      & ( aSet0(sdtpldt0(xS,xx))
        | aSet0(sdtpldt0(xS,xx)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).

fof(c_0_11,plain,
    ! [X7,X8] :
      ( aElement0(X8)
      | ~ aElementOf0(X8,X7)
      | ~ aSet0(X7) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).

cnf(c_0_12,plain,
    ( ~ aElement0(X4)
    | ~ aSet0(X2)
    | X3 != sdtmndt0(X2,X4)
    | ~ aElementOf0(X1,X3)
    | aElementOf0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    ( aSet0(sdtpldt0(xS,xx))
    | aSet0(sdtpldt0(xS,xx)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( ~ aElement0(X3)
    | ~ aSet0(X2)
    | X4 != sdtmndt0(X2,X3)
    | ~ aElementOf0(X1,X2)
    | ~ aElement0(X1)
    | aElementOf0(X1,X4)
    | X1 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( ~ aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_16,plain,
    ! [X30,X31,X32,X33,X34,X35] :
      ( ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X35 = sdtpldt0(X30,X31)
        | ~ aSet0(X35)
        | aElementOf0(esk3_3(X30,X31,X35),X35)
        | esk3_3(X30,X31,X35) = X31
        | aElementOf0(esk3_3(X30,X31,X35),X30) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X35 = sdtpldt0(X30,X31)
        | ~ aSet0(X35)
        | aElementOf0(esk3_3(X30,X31,X35),X35)
        | aElement0(esk3_3(X30,X31,X35)) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X35 = sdtpldt0(X30,X31)
        | ~ aSet0(X35)
        | ~ aElementOf0(esk3_3(X30,X31,X35),X35)
        | ~ aElement0(esk3_3(X30,X31,X35))
        | esk3_3(X30,X31,X35) != X31 )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X35 = sdtpldt0(X30,X31)
        | ~ aSet0(X35)
        | ~ aElementOf0(esk3_3(X30,X31,X35),X35)
        | ~ aElement0(esk3_3(X30,X31,X35))
        | ~ aElementOf0(esk3_3(X30,X31,X35),X30) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X32 != sdtpldt0(X30,X31)
        | aElementOf0(X34,X32)
        | ~ aElement0(X34)
        | X34 != X31 )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X32 != sdtpldt0(X30,X31)
        | aElementOf0(X34,X32)
        | ~ aElement0(X34)
        | ~ aElementOf0(X34,X30) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X32 != sdtpldt0(X30,X31)
        | ~ aElementOf0(X33,X32)
        | X33 = X31
        | aElementOf0(X33,X30) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X32 != sdtpldt0(X30,X31)
        | ~ aElementOf0(X33,X32)
        | aElement0(X33) )
      & ( ~ aElement0(X31)
        | ~ aSet0(X30)
        | X32 != sdtpldt0(X30,X31)
        | aSet0(X32) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefCons])])])])])])]) ).

cnf(c_0_17,plain,
    ( ~ aSet0(X2)
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,sdtmndt0(X2,X3))
    | aElementOf0(X1,X2) ),
    inference(er,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
    | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,hypothesis,
    aElement0(xx),
    inference(split_conjunct,[status(thm)],[m__679]) ).

cnf(c_0_20,negated_conjecture,
    aSet0(sdtpldt0(xS,xx)),
    inference(cn,[status(thm)],[c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
    | ~ aElementOf0(esk6_0,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_22,plain,
    ( ~ aSet0(X3)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,X3)
    | aElementOf0(X1,sdtmndt0(X3,X2))
    | X1 = X2 ),
    inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_14,c_0_15])]) ).

cnf(c_0_23,plain,
    ( ~ aElement0(X4)
    | ~ aSet0(X2)
    | X3 != sdtpldt0(X2,X4)
    | ~ aElement0(X1)
    | ~ aElementOf0(X1,X2)
    | aElementOf0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    ( ~ aElement0(X3)
    | ~ aSet0(X2)
    | X4 != sdtpldt0(X2,X3)
    | ~ aElementOf0(X1,X4)
    | X1 = X3
    | aElementOf0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
    | aElementOf0(esk6_0,sdtpldt0(xS,xx)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ aElementOf0(esk6_0,xS)
    | ~ aElementOf0(esk5_0,sdtpldt0(xS,xx))
    | esk5_0 = xx ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_19]),c_0_20])]) ).

cnf(c_0_27,plain,
    ( ~ aSet0(X2)
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,X2)
    | aElementOf0(X1,sdtpldt0(X2,X3)) ),
    inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_23,c_0_15])]) ).

cnf(c_0_28,hypothesis,
    aSet0(xS),
    inference(split_conjunct,[status(thm)],[m__679]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ aElementOf0(esk6_0,xS)
    | aElementOf0(esk5_0,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_30,negated_conjecture,
    ( aElementOf0(esk5_0,xS)
    | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_31,plain,
    ( ~ aSet0(X3)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,sdtpldt0(X3,X2))
    | aElementOf0(X1,X3)
    | X1 = X2 ),
    inference(er,[status(thm)],[c_0_24]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ aElementOf0(esk5_0,sdtpldt0(xS,xx))
    | aElementOf0(esk6_0,sdtpldt0(xS,xx))
    | esk5_0 = xx ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_19]),c_0_20])]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ aElementOf0(esk6_0,xS)
    | esk5_0 = xx ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_19]),c_0_28])]),c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ aElementOf0(X1,sdtpldt0(xS,xx))
    | aElementOf0(esk5_0,xS)
    | X1 = xx
    | aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_35,negated_conjecture,
    ( aElementOf0(esk5_0,xS)
    | aElementOf0(esk6_0,sdtpldt0(xS,xx)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_30]),c_0_19]),c_0_20])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ aElementOf0(X1,sdtpldt0(xS,xx))
    | aElement0(X1)
    | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ aElementOf0(esk5_0,sdtpldt0(xS,xx))
    | esk6_0 = xx
    | esk5_0 = xx ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_19]),c_0_28])]),c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    ( aElementOf0(esk5_0,xS)
    | esk6_0 = xx ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_29]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
    | X1 != xx
    | aElementOf0(esk5_0,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ aElementOf0(X1,xS)
    | aElementOf0(X1,sdtpldt0(xS,xx))
    | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ aElementOf0(X1,xS)
    | aElement0(X1)
    | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_27]),c_0_19]),c_0_28])]) ).

cnf(c_0_42,negated_conjecture,
    ( esk5_0 = xx
    | esk6_0 = xx ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_27]),c_0_19]),c_0_28])]),c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
    | aElementOf0(esk5_0,xS) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ aElementOf0(X1,xS)
    | aElementOf0(X1,sdtpldt0(xS,xx))
    | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
    inference(csr,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    ( aElementOf0(esk5_0,xS)
    | esk5_0 = xx ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_42]),c_0_43]) ).

cnf(c_0_46,plain,
    ( ~ aElement0(X2)
    | ~ aSet0(X4)
    | X3 != sdtmndt0(X4,X2)
    | ~ aElementOf0(X1,X3)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_47,negated_conjecture,
    ( aElementOf0(esk5_0,sdtpldt0(xS,xx))
    | aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
    | esk5_0 = xx ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
    | ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
    | X1 != xx ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_49,plain,
    ( ~ aSet0(X2)
    | ~ aElement0(X1)
    | ~ aElementOf0(X1,sdtmndt0(X2,X1)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])]) ).

cnf(c_0_50,negated_conjecture,
    ( aElementOf0(esk5_0,sdtpldt0(xS,xx))
    | aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
    | esk5_0 = xx ),
    inference(spm,[status(thm)],[c_0_47,c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
    | ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
    inference(er,[status(thm)],[c_0_48]) ).

cnf(c_0_52,negated_conjecture,
    ( aElementOf0(esk5_0,sdtpldt0(xS,xx))
    | esk5_0 = xx ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_19]),c_0_20])]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
    | esk5_0 = xx ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_22]),c_0_19]),c_0_20])]),c_0_52]) ).

fof(c_0_54,hypothesis,
    ~ aElementOf0(xx,xS),
    inference(fof_simplification,[status(thm)],[m__679_02]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
    | esk5_0 = xx ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_42]),c_0_53]) ).

fof(c_0_56,hypothesis,
    ~ aElementOf0(xx,xS),
    inference(fof_nnf,[status(thm)],[c_0_54]) ).

cnf(c_0_57,negated_conjecture,
    esk5_0 = xx,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_22]),c_0_19]),c_0_20])]),c_0_52]) ).

cnf(c_0_58,hypothesis,
    ~ aElementOf0(xx,xS),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_59,negated_conjecture,
    esk6_0 = xx,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_57]),c_0_58]) ).

cnf(c_0_60,negated_conjecture,
    ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_57])]) ).

cnf(c_0_61,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_57]),c_0_58]),c_0_59]),c_0_60]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM537+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.48  % Computer : n016.cluster.edu
% 0.20/0.48  % Model    : x86_64 x86_64
% 0.20/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.48  % Memory   : 8046.5625MB
% 0.20/0.48  % OS       : Linux 6.8.0-71-generic
% 0.20/0.48  % CPULimit : 300
% 0.20/0.48  % WCLimit  : 300
% 0.20/0.48  % DateTime : Mon Sep 21 02:43:07 UTC 2026
% 0.20/0.48  % CPUTime  : 
% 0.20/0.48  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.56  Running first-order theorem proving
% 0.24/0.56  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.65  % Version: 3.5.1
% 0.24/0.65  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.65  % Starting new_bool_3 with 300s (1) cores
% 0.24/0.65  % Starting new_bool_1 with 300s (1) cores
% 0.24/0.65  % Starting sh5l with 300s (1) cores
% 0.24/0.65  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1384114 completed with status 0
% 0.24/0.65  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.24/0.65  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.65  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.65  % No SInE strategy applied
% 0.24/0.65  % Search class: FGHSF-FSLM32-SFFFFFNN
% 0.24/0.65  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.65  % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.65  % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.24/0.65  % Starting new_bool_3 with 136s (1) cores
% 0.24/0.65  % Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 0.24/0.65  % SubtermCWHack with pid 1384118 completed with status 0
% 0.24/0.65  % Result found by SubtermCWHack
% 0.24/0.65  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.65  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.65  % No SInE strategy applied
% 0.24/0.65  % Search class: FGHSF-FSLM32-SFFFFFNN
% 0.24/0.65  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.65  % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.65  % Preprocessing time       : 0.003 s
% 0.24/0.65  
% 0.24/0.65  % Proof found!
% 0.24/0.65  % SZS status Theorem
% 0.24/0.65  % SZS output start CNFRefutation
% See solution above
% 0.24/0.65  % Parsed axioms                        : 20
% 0.24/0.65  % Removed by relevancy pruning/SinE    : 0
% 0.24/0.65  % Initial clauses                      : 210
% 0.24/0.65  % Removed in clause preprocessing      : 4
% 0.24/0.65  % Initial clauses in saturation        : 206
% 0.24/0.65  % Processed clauses                    : 408
% 0.24/0.65  % ...of these trivial                  : 43
% 0.24/0.65  % ...subsumed                          : 178
% 0.24/0.65  % ...remaining for further processing  : 186
% 0.24/0.65  % Other redundant clauses eliminated   : 42
% 0.24/0.65  % Clauses deleted for lack of memory   : 0
% 0.24/0.65  % Backward-subsumed                    : 33
% 0.24/0.65  % Backward-rewritten                   : 62
% 0.24/0.65  % Generated clauses                    : 519
% 0.24/0.65  % ...of the previous two non-redundant : 433
% 0.24/0.65  % ...aggressively subsumed             : 0
% 0.24/0.65  % Contextual simplify-reflections      : 22
% 0.24/0.65  % Paramodulations                      : 482
% 0.24/0.65  % Factorizations                       : 0
% 0.24/0.65  % NegExts                              : 0
% 0.24/0.65  % Equation resolutions                 : 42
% 0.24/0.65  % Disequality decompositions           : 0
% 0.24/0.65  % Total rewrite steps                  : 456
% 0.24/0.65  % ...of those cached                   : 446
% 0.24/0.65  % Propositional unsat checks           : 0
% 0.24/0.65  %    Propositional check models        : 0
% 0.24/0.65  %    Propositional check unsatisfiable : 0
% 0.24/0.65  %    Propositional clauses             : 0
% 0.24/0.65  %    Propositional clauses after purity: 0
% 0.24/0.65  %    Propositional unsat core size     : 0
% 0.24/0.65  %    Propositional preprocessing time  : 0.000
% 0.24/0.65  %    Propositional encoding time       : 0.000
% 0.24/0.65  %    Propositional solver time         : 0.000
% 0.24/0.65  %    Success case prop preproc time    : 0.000
% 0.24/0.65  %    Success case prop encoding time   : 0.000
% 0.24/0.65  %    Success case prop solver time     : 0.000
% 0.24/0.65  % Current number of processed clauses  : 54
% 0.24/0.65  %    Positive orientable unit clauses  : 9
% 0.24/0.65  %    Positive unorientable unit clauses: 0
% 0.24/0.65  %    Negative unit clauses             : 5
% 0.24/0.66  %    Non-unit-clauses                  : 40
% 0.24/0.66  % Current number of unprocessed clauses: 212
% 0.24/0.66  % ...number of literals in the above   : 1012
% 0.24/0.66  % Current number of archived formulas  : 0
% 0.24/0.66  % Current number of archived clauses   : 95
% 0.24/0.66  % Clause-clause subsumption calls (NU) : 6001
% 0.24/0.66  % Rec. Clause-clause subsumption calls : 2577
% 0.24/0.66  % Non-unit clause-clause subsumptions  : 219
% 0.24/0.66  % Unit Clause-clause subsumption calls : 126
% 0.24/0.66  % Rewrite failures with RHS unbound    : 0
% 0.24/0.66  % BW rewrite match attempts            : 4
% 0.24/0.66  % BW rewrite match successes           : 4
% 0.24/0.66  % Condensation attempts                : 0
% 0.24/0.66  % Condensation successes               : 0
% 0.24/0.66  % Termbank termtop insertions          : 18949
% 0.24/0.66  % Search garbage collected termcells   : 1475
% 0.24/0.66  
% 0.24/0.66  % -------------------------------------------------
% 0.24/0.66  % User time                : 0.036 s
% 0.24/0.66  % System time              : 0.005 s
% 0.24/0.66  % Total time               : 0.041 s
% 0.24/0.66  % Maximum resident set size: 3912 pages
% 0.24/0.66  
% 0.24/0.66  % -------------------------------------------------
% 0.24/0.66  % User time                : 0.135 s
% 0.24/0.66  % System time              : 0.022 s
% 0.24/0.66  % Total time               : 0.156 s
% 0.24/0.66  % Maximum resident set size: 4864 pages
% 0.24/0.66  % E exiting
%------------------------------------------------------------------------------