TSTP Solution File: NUM542+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM542+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n036.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 15:21:43 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   97 (  12 unt;   0 def)
%            Number of atoms       :  914 (   4 equ)
%            Maximal formula atoms :  460 (   9 avg)
%            Number of connectives : 1255 ( 438   ~; 539   |; 250   &)
%                                         (   8 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  140 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :  113 (   0 sgn  68   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(6,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        & ~ equal(szszuzczcdt0(X1),sz00) ) ),
    file('/export/starexec/sandbox/tmp/tmpaKeqzW/sel_theBenchmark.p_1',mSuccNum) ).

fof(31,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
    file('/export/starexec/sandbox/tmp/tmpaKeqzW/sel_theBenchmark.p_1',mLessSucc) ).

fof(36,axiom,
    ( aElementOf0(xm,szNzAzT0)
    & aElementOf0(xn,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmpaKeqzW/sel_theBenchmark.p_1',m__1964) ).

fof(37,conjecture,
    ( ( sdtlseqdt0(xm,xn)
     => ( ( aSet0(slbdtrb0(xm))
          & ! [X1] :
              ( aElementOf0(X1,slbdtrb0(xm))
            <=> ( aElementOf0(X1,szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(X1),xm) ) ) )
       => ( ( aSet0(slbdtrb0(xn))
            & ! [X1] :
                ( aElementOf0(X1,slbdtrb0(xn))
              <=> ( aElementOf0(X1,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(X1),xn) ) ) )
         => ( ! [X1] :
                ( aElementOf0(X1,slbdtrb0(xm))
               => aElementOf0(X1,slbdtrb0(xn)) )
            | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ) ) )
    & ( ( aSet0(slbdtrb0(xm))
        & ! [X1] :
            ( aElementOf0(X1,slbdtrb0(xm))
          <=> ( aElementOf0(X1,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X1),xm) ) )
        & aSet0(slbdtrb0(xn))
        & ! [X1] :
            ( aElementOf0(X1,slbdtrb0(xn))
          <=> ( aElementOf0(X1,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X1),xn) ) )
        & ! [X1] :
            ( aElementOf0(X1,slbdtrb0(xm))
           => aElementOf0(X1,slbdtrb0(xn)) )
        & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
     => sdtlseqdt0(xm,xn) ) ),
    file('/export/starexec/sandbox/tmp/tmpaKeqzW/sel_theBenchmark.p_1',m__) ).

fof(44,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X1,X2)
        | sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
    file('/export/starexec/sandbox/tmp/tmpaKeqzW/sel_theBenchmark.p_1',mLessTotal) ).

fof(45,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X1) )
       => equal(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmpaKeqzW/sel_theBenchmark.p_1',mLessASymm) ).

fof(52,axiom,
    ! [X1,X2,X3] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0)
        & aElementOf0(X3,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(X1,X3) ) ),
    file('/export/starexec/sandbox/tmp/tmpaKeqzW/sel_theBenchmark.p_1',mLessTrans) ).

fof(54,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ~ equal(X1,szszuzczcdt0(X1)) ),
    file('/export/starexec/sandbox/tmp/tmpaKeqzW/sel_theBenchmark.p_1',mNatNSucc) ).

fof(56,negated_conjecture,
    ~ ( ( sdtlseqdt0(xm,xn)
       => ( ( aSet0(slbdtrb0(xm))
            & ! [X1] :
                ( aElementOf0(X1,slbdtrb0(xm))
              <=> ( aElementOf0(X1,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(X1),xm) ) ) )
         => ( ( aSet0(slbdtrb0(xn))
              & ! [X1] :
                  ( aElementOf0(X1,slbdtrb0(xn))
                <=> ( aElementOf0(X1,szNzAzT0)
                    & sdtlseqdt0(szszuzczcdt0(X1),xn) ) ) )
           => ( ! [X1] :
                  ( aElementOf0(X1,slbdtrb0(xm))
                 => aElementOf0(X1,slbdtrb0(xn)) )
              | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ) ) )
      & ( ( aSet0(slbdtrb0(xm))
          & ! [X1] :
              ( aElementOf0(X1,slbdtrb0(xm))
            <=> ( aElementOf0(X1,szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(X1),xm) ) )
          & aSet0(slbdtrb0(xn))
          & ! [X1] :
              ( aElementOf0(X1,slbdtrb0(xn))
            <=> ( aElementOf0(X1,szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(X1),xn) ) )
          & ! [X1] :
              ( aElementOf0(X1,slbdtrb0(xm))
             => aElementOf0(X1,slbdtrb0(xn)) )
          & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
       => sdtlseqdt0(xm,xn) ) ),
    inference(assume_negation,[status(cth)],[37]) ).

fof(73,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        & ~ equal(szszuzczcdt0(X1),sz00) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(74,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
        & ~ equal(szszuzczcdt0(X2),sz00) ) ),
    inference(variable_rename,[status(thm)],[73]) ).

fof(75,plain,
    ! [X2] :
      ( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
        | ~ aElementOf0(X2,szNzAzT0) )
      & ( ~ equal(szszuzczcdt0(X2),sz00)
        | ~ aElementOf0(X2,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[74]) ).

cnf(77,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[75]) ).

fof(195,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
    inference(fof_nnf,[status(thm)],[31]) ).

fof(196,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | sdtlseqdt0(X2,szszuzczcdt0(X2)) ),
    inference(variable_rename,[status(thm)],[195]) ).

cnf(197,plain,
    ( sdtlseqdt0(X1,szszuzczcdt0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[196]) ).

cnf(223,plain,
    aElementOf0(xn,szNzAzT0),
    inference(split_conjunct,[status(thm)],[36]) ).

cnf(224,plain,
    aElementOf0(xm,szNzAzT0),
    inference(split_conjunct,[status(thm)],[36]) ).

fof(225,negated_conjecture,
    ( ( sdtlseqdt0(xm,xn)
      & aSet0(slbdtrb0(xm))
      & ! [X1] :
          ( ( ~ aElementOf0(X1,slbdtrb0(xm))
            | ( aElementOf0(X1,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X1),xm) ) )
          & ( ~ aElementOf0(X1,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
            | aElementOf0(X1,slbdtrb0(xm)) ) )
      & aSet0(slbdtrb0(xn))
      & ! [X1] :
          ( ( ~ aElementOf0(X1,slbdtrb0(xn))
            | ( aElementOf0(X1,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X1),xn) ) )
          & ( ~ aElementOf0(X1,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
            | aElementOf0(X1,slbdtrb0(xn)) ) )
      & ? [X1] :
          ( aElementOf0(X1,slbdtrb0(xm))
          & ~ aElementOf0(X1,slbdtrb0(xn)) )
      & ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
    | ( aSet0(slbdtrb0(xm))
      & ! [X1] :
          ( ( ~ aElementOf0(X1,slbdtrb0(xm))
            | ( aElementOf0(X1,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X1),xm) ) )
          & ( ~ aElementOf0(X1,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
            | aElementOf0(X1,slbdtrb0(xm)) ) )
      & aSet0(slbdtrb0(xn))
      & ! [X1] :
          ( ( ~ aElementOf0(X1,slbdtrb0(xn))
            | ( aElementOf0(X1,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X1),xn) ) )
          & ( ~ aElementOf0(X1,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
            | aElementOf0(X1,slbdtrb0(xn)) ) )
      & ! [X1] :
          ( ~ aElementOf0(X1,slbdtrb0(xm))
          | aElementOf0(X1,slbdtrb0(xn)) )
      & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ~ sdtlseqdt0(xm,xn) ) ),
    inference(fof_nnf,[status(thm)],[56]) ).

fof(226,negated_conjecture,
    ( ( sdtlseqdt0(xm,xn)
      & aSet0(slbdtrb0(xm))
      & ! [X2] :
          ( ( ~ aElementOf0(X2,slbdtrb0(xm))
            | ( aElementOf0(X2,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X2),xm) ) )
          & ( ~ aElementOf0(X2,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
            | aElementOf0(X2,slbdtrb0(xm)) ) )
      & aSet0(slbdtrb0(xn))
      & ! [X3] :
          ( ( ~ aElementOf0(X3,slbdtrb0(xn))
            | ( aElementOf0(X3,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X3),xn) ) )
          & ( ~ aElementOf0(X3,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
            | aElementOf0(X3,slbdtrb0(xn)) ) )
      & ? [X4] :
          ( aElementOf0(X4,slbdtrb0(xm))
          & ~ aElementOf0(X4,slbdtrb0(xn)) )
      & ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
    | ( aSet0(slbdtrb0(xm))
      & ! [X5] :
          ( ( ~ aElementOf0(X5,slbdtrb0(xm))
            | ( aElementOf0(X5,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X5),xm) ) )
          & ( ~ aElementOf0(X5,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
            | aElementOf0(X5,slbdtrb0(xm)) ) )
      & aSet0(slbdtrb0(xn))
      & ! [X6] :
          ( ( ~ aElementOf0(X6,slbdtrb0(xn))
            | ( aElementOf0(X6,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X6),xn) ) )
          & ( ~ aElementOf0(X6,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
            | aElementOf0(X6,slbdtrb0(xn)) ) )
      & ! [X7] :
          ( ~ aElementOf0(X7,slbdtrb0(xm))
          | aElementOf0(X7,slbdtrb0(xn)) )
      & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ~ sdtlseqdt0(xm,xn) ) ),
    inference(variable_rename,[status(thm)],[225]) ).

fof(227,negated_conjecture,
    ( ( sdtlseqdt0(xm,xn)
      & aSet0(slbdtrb0(xm))
      & ! [X2] :
          ( ( ~ aElementOf0(X2,slbdtrb0(xm))
            | ( aElementOf0(X2,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X2),xm) ) )
          & ( ~ aElementOf0(X2,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
            | aElementOf0(X2,slbdtrb0(xm)) ) )
      & aSet0(slbdtrb0(xn))
      & ! [X3] :
          ( ( ~ aElementOf0(X3,slbdtrb0(xn))
            | ( aElementOf0(X3,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X3),xn) ) )
          & ( ~ aElementOf0(X3,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
            | aElementOf0(X3,slbdtrb0(xn)) ) )
      & aElementOf0(esk9_0,slbdtrb0(xm))
      & ~ aElementOf0(esk9_0,slbdtrb0(xn))
      & ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
    | ( aSet0(slbdtrb0(xm))
      & ! [X5] :
          ( ( ~ aElementOf0(X5,slbdtrb0(xm))
            | ( aElementOf0(X5,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X5),xm) ) )
          & ( ~ aElementOf0(X5,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
            | aElementOf0(X5,slbdtrb0(xm)) ) )
      & aSet0(slbdtrb0(xn))
      & ! [X6] :
          ( ( ~ aElementOf0(X6,slbdtrb0(xn))
            | ( aElementOf0(X6,szNzAzT0)
              & sdtlseqdt0(szszuzczcdt0(X6),xn) ) )
          & ( ~ aElementOf0(X6,szNzAzT0)
            | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
            | aElementOf0(X6,slbdtrb0(xn)) ) )
      & ! [X7] :
          ( ~ aElementOf0(X7,slbdtrb0(xm))
          | aElementOf0(X7,slbdtrb0(xn)) )
      & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
      & ~ sdtlseqdt0(xm,xn) ) ),
    inference(skolemize,[status(esa)],[226]) ).

fof(228,negated_conjecture,
    ! [X2,X3,X5,X6,X7] :
      ( ( ( ~ aElementOf0(X7,slbdtrb0(xm))
          | aElementOf0(X7,slbdtrb0(xn)) )
        & ( ~ aElementOf0(X6,slbdtrb0(xn))
          | ( aElementOf0(X6,szNzAzT0)
            & sdtlseqdt0(szszuzczcdt0(X6),xn) ) )
        & ( ~ aElementOf0(X6,szNzAzT0)
          | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
          | aElementOf0(X6,slbdtrb0(xn)) )
        & ( ~ aElementOf0(X5,slbdtrb0(xm))
          | ( aElementOf0(X5,szNzAzT0)
            & sdtlseqdt0(szszuzczcdt0(X5),xm) ) )
        & ( ~ aElementOf0(X5,szNzAzT0)
          | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
          | aElementOf0(X5,slbdtrb0(xm)) )
        & aSet0(slbdtrb0(xm))
        & aSet0(slbdtrb0(xn))
        & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        & ~ sdtlseqdt0(xm,xn) )
      | ( ( ~ aElementOf0(X3,slbdtrb0(xn))
          | ( aElementOf0(X3,szNzAzT0)
            & sdtlseqdt0(szszuzczcdt0(X3),xn) ) )
        & ( ~ aElementOf0(X3,szNzAzT0)
          | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
          | aElementOf0(X3,slbdtrb0(xn)) )
        & aSet0(slbdtrb0(xn))
        & aElementOf0(esk9_0,slbdtrb0(xm))
        & ~ aElementOf0(esk9_0,slbdtrb0(xn))
        & ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        & ( ~ aElementOf0(X2,slbdtrb0(xm))
          | ( aElementOf0(X2,szNzAzT0)
            & sdtlseqdt0(szszuzczcdt0(X2),xm) ) )
        & ( ~ aElementOf0(X2,szNzAzT0)
          | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
          | aElementOf0(X2,slbdtrb0(xm)) )
        & aSet0(slbdtrb0(xm))
        & sdtlseqdt0(xm,xn) ) ),
    inference(shift_quantors,[status(thm)],[227]) ).

fof(229,negated_conjecture,
    ! [X2,X3,X5,X6,X7] :
      ( ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xn))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xm))
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( sdtlseqdt0(xm,xn)
        | ~ aElementOf0(X7,slbdtrb0(xm))
        | aElementOf0(X7,slbdtrb0(xn)) )
      & ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xn))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xm))
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( sdtlseqdt0(xm,xn)
        | aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xm))
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( sdtlseqdt0(xm,xn)
        | sdtlseqdt0(szszuzczcdt0(X6),xn)
        | ~ aElementOf0(X6,slbdtrb0(xn)) )
      & ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xn))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xm))
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( sdtlseqdt0(xm,xn)
        | ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),xn)
        | aElementOf0(X6,slbdtrb0(xn)) )
      & ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( aSet0(slbdtrb0(xn))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( aSet0(slbdtrb0(xm))
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( sdtlseqdt0(xm,xn)
        | aElementOf0(X5,szNzAzT0)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( aSet0(slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( aSet0(slbdtrb0(xm))
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( sdtlseqdt0(xm,xn)
        | sdtlseqdt0(szszuzczcdt0(X5),xm)
        | ~ aElementOf0(X5,slbdtrb0(xm)) )
      & ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( aSet0(slbdtrb0(xn))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( aSet0(slbdtrb0(xm))
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( sdtlseqdt0(xm,xn)
        | ~ aElementOf0(X5,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X5),xm)
        | aElementOf0(X5,slbdtrb0(xm)) )
      & ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | aSet0(slbdtrb0(xm)) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | aSet0(slbdtrb0(xm)) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | aSet0(slbdtrb0(xm)) )
      & ( aSet0(slbdtrb0(xn))
        | aSet0(slbdtrb0(xm)) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | aSet0(slbdtrb0(xm)) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | aSet0(slbdtrb0(xm)) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | aSet0(slbdtrb0(xm)) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | aSet0(slbdtrb0(xm)) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | aSet0(slbdtrb0(xm)) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | aSet0(slbdtrb0(xm)) )
      & ( aSet0(slbdtrb0(xm))
        | aSet0(slbdtrb0(xm)) )
      & ( sdtlseqdt0(xm,xn)
        | aSet0(slbdtrb0(xm)) )
      & ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | aSet0(slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | aSet0(slbdtrb0(xn)) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | aSet0(slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xn))
        | aSet0(slbdtrb0(xn)) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | aSet0(slbdtrb0(xn)) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | aSet0(slbdtrb0(xn)) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | aSet0(slbdtrb0(xn)) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | aSet0(slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | aSet0(slbdtrb0(xn)) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | aSet0(slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xm))
        | aSet0(slbdtrb0(xn)) )
      & ( sdtlseqdt0(xm,xn)
        | aSet0(slbdtrb0(xn)) )
      & ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xn))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( aSet0(slbdtrb0(xm))
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( sdtlseqdt0(xm,xn)
        | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
      & ( aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | ~ sdtlseqdt0(xm,xn) )
      & ( sdtlseqdt0(szszuzczcdt0(X3),xn)
        | ~ aElementOf0(X3,slbdtrb0(xn))
        | ~ sdtlseqdt0(xm,xn) )
      & ( ~ aElementOf0(X3,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X3),xn)
        | aElementOf0(X3,slbdtrb0(xn))
        | ~ sdtlseqdt0(xm,xn) )
      & ( aSet0(slbdtrb0(xn))
        | ~ sdtlseqdt0(xm,xn) )
      & ( aElementOf0(esk9_0,slbdtrb0(xm))
        | ~ sdtlseqdt0(xm,xn) )
      & ( ~ aElementOf0(esk9_0,slbdtrb0(xn))
        | ~ sdtlseqdt0(xm,xn) )
      & ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
        | ~ sdtlseqdt0(xm,xn) )
      & ( aElementOf0(X2,szNzAzT0)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | ~ sdtlseqdt0(xm,xn) )
      & ( sdtlseqdt0(szszuzczcdt0(X2),xm)
        | ~ aElementOf0(X2,slbdtrb0(xm))
        | ~ sdtlseqdt0(xm,xn) )
      & ( ~ aElementOf0(X2,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
        | aElementOf0(X2,slbdtrb0(xm))
        | ~ sdtlseqdt0(xm,xn) )
      & ( aSet0(slbdtrb0(xm))
        | ~ sdtlseqdt0(xm,xn) )
      & ( sdtlseqdt0(xm,xn)
        | ~ sdtlseqdt0(xm,xn) ) ),
    inference(distribute,[status(thm)],[228]) ).

cnf(232,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xm))
    | ~ sdtlseqdt0(xm,xn)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(233,negated_conjecture,
    ( sdtlseqdt0(szszuzczcdt0(X1),xm)
    | ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(234,negated_conjecture,
    ( aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(236,negated_conjecture,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(esk9_0,slbdtrb0(xn)) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(237,negated_conjecture,
    ( aElementOf0(esk9_0,slbdtrb0(xm))
    | ~ sdtlseqdt0(xm,xn) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(239,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xn))
    | ~ sdtlseqdt0(xm,xn)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(240,negated_conjecture,
    ( sdtlseqdt0(szszuzczcdt0(X1),xn)
    | ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(X1,slbdtrb0(xn)) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(278,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xm))
    | sdtlseqdt0(xm,xn)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(290,negated_conjecture,
    ( sdtlseqdt0(szszuzczcdt0(X1),xm)
    | sdtlseqdt0(xm,xn)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(302,negated_conjecture,
    ( aElementOf0(X1,szNzAzT0)
    | sdtlseqdt0(xm,xn)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(314,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xn))
    | sdtlseqdt0(xm,xn)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(326,negated_conjecture,
    ( sdtlseqdt0(szszuzczcdt0(X1),xn)
    | sdtlseqdt0(xm,xn)
    | ~ aElementOf0(X1,slbdtrb0(xn)) ),
    inference(split_conjunct,[status(thm)],[229]) ).

cnf(350,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xn))
    | sdtlseqdt0(xm,xn)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(split_conjunct,[status(thm)],[229]) ).

fof(381,plain,
    ! [X1,X2] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X2,szNzAzT0)
      | sdtlseqdt0(X1,X2)
      | sdtlseqdt0(szszuzczcdt0(X2),X1) ),
    inference(fof_nnf,[status(thm)],[44]) ).

fof(382,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | sdtlseqdt0(X3,X4)
      | sdtlseqdt0(szszuzczcdt0(X4),X3) ),
    inference(variable_rename,[status(thm)],[381]) ).

cnf(383,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),X2)
    | sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[382]) ).

fof(384,plain,
    ! [X1,X2] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X2,X1)
      | equal(X1,X2) ),
    inference(fof_nnf,[status(thm)],[45]) ).

fof(385,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | ~ sdtlseqdt0(X3,X4)
      | ~ sdtlseqdt0(X4,X3)
      | equal(X3,X4) ),
    inference(variable_rename,[status(thm)],[384]) ).

cnf(386,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[385]) ).

fof(419,plain,
    ! [X1,X2,X3] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ aElementOf0(X3,szNzAzT0)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X2,X3)
      | sdtlseqdt0(X1,X3) ),
    inference(fof_nnf,[status(thm)],[52]) ).

fof(420,plain,
    ! [X4,X5,X6] :
      ( ~ aElementOf0(X4,szNzAzT0)
      | ~ aElementOf0(X5,szNzAzT0)
      | ~ aElementOf0(X6,szNzAzT0)
      | ~ sdtlseqdt0(X4,X5)
      | ~ sdtlseqdt0(X5,X6)
      | sdtlseqdt0(X4,X6) ),
    inference(variable_rename,[status(thm)],[419]) ).

cnf(421,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[420]) ).

fof(425,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ equal(X1,szszuzczcdt0(X1)) ),
    inference(fof_nnf,[status(thm)],[54]) ).

fof(426,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | ~ equal(X2,szszuzczcdt0(X2)) ),
    inference(variable_rename,[status(thm)],[425]) ).

cnf(427,plain,
    ( X1 != szszuzczcdt0(X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[426]) ).

cnf(562,negated_conjecture,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(csr,[status(thm)],[234,302]) ).

cnf(563,negated_conjecture,
    ( aElementOf0(esk9_0,szNzAzT0)
    | ~ sdtlseqdt0(xm,xn) ),
    inference(spm,[status(thm)],[562,237,theory(equality)]) ).

cnf(613,negated_conjecture,
    ( sdtlseqdt0(szszuzczcdt0(X1),xm)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(csr,[status(thm)],[233,290]) ).

cnf(615,negated_conjecture,
    ( sdtlseqdt0(szszuzczcdt0(X1),xn)
    | ~ aElementOf0(X1,slbdtrb0(xn)) ),
    inference(csr,[status(thm)],[240,326]) ).

cnf(773,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xm))
    | ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[232,278]) ).

cnf(776,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xm))
    | sdtlseqdt0(xm,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0) ),
    inference(spm,[status(thm)],[773,383,theory(equality)]) ).

cnf(777,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xm))
    | sdtlseqdt0(xm,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | $false ),
    inference(rw,[status(thm)],[776,224,theory(equality)]) ).

cnf(778,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xm))
    | sdtlseqdt0(xm,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[777,theory(equality)]) ).

cnf(779,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xn))
    | ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[239,314]) ).

cnf(782,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xn))
    | sdtlseqdt0(xn,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(spm,[status(thm)],[779,383,theory(equality)]) ).

cnf(783,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xn))
    | sdtlseqdt0(xn,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | $false ),
    inference(rw,[status(thm)],[782,223,theory(equality)]) ).

cnf(784,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(xn))
    | sdtlseqdt0(xn,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[783,theory(equality)]) ).

cnf(797,plain,
    ( szszuzczcdt0(X1) = X1
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
    inference(spm,[status(thm)],[386,197,theory(equality)]) ).

cnf(1584,negated_conjecture,
    ( sdtlseqdt0(xn,esk9_0)
    | ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(esk9_0,szNzAzT0) ),
    inference(spm,[status(thm)],[236,784,theory(equality)]) ).

cnf(1604,negated_conjecture,
    ( sdtlseqdt0(xn,esk9_0)
    | ~ sdtlseqdt0(xm,xn) ),
    inference(csr,[status(thm)],[1584,563]) ).

cnf(4443,plain,
    ( szszuzczcdt0(X1) = X1
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[797,77]) ).

cnf(4444,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(X1),X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[4443,427]) ).

cnf(4447,negated_conjecture,
    ( ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(xn,slbdtrb0(xn)) ),
    inference(spm,[status(thm)],[4444,615,theory(equality)]) ).

cnf(4471,negated_conjecture,
    ( $false
    | ~ aElementOf0(xn,slbdtrb0(xn)) ),
    inference(rw,[status(thm)],[4447,223,theory(equality)]) ).

cnf(4472,negated_conjecture,
    ~ aElementOf0(xn,slbdtrb0(xn)),
    inference(cn,[status(thm)],[4471,theory(equality)]) ).

cnf(4494,negated_conjecture,
    ( sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xn,slbdtrb0(xm)) ),
    inference(spm,[status(thm)],[4472,350,theory(equality)]) ).

cnf(4518,negated_conjecture,
    ( sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(spm,[status(thm)],[4494,778,theory(equality)]) ).

cnf(4522,negated_conjecture,
    ( sdtlseqdt0(xm,xn)
    | $false ),
    inference(rw,[status(thm)],[4518,223,theory(equality)]) ).

cnf(4523,negated_conjecture,
    sdtlseqdt0(xm,xn),
    inference(cn,[status(thm)],[4522,theory(equality)]) ).

cnf(4525,negated_conjecture,
    ( sdtlseqdt0(X1,xn)
    | ~ sdtlseqdt0(X1,xm)
    | ~ aElementOf0(xm,szNzAzT0)
    | ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[421,4523,theory(equality)]) ).

cnf(4545,negated_conjecture,
    ( sdtlseqdt0(xn,esk9_0)
    | $false ),
    inference(rw,[status(thm)],[1604,4523,theory(equality)]) ).

cnf(4546,negated_conjecture,
    sdtlseqdt0(xn,esk9_0),
    inference(cn,[status(thm)],[4545,theory(equality)]) ).

cnf(4554,negated_conjecture,
    ( aElementOf0(esk9_0,szNzAzT0)
    | $false ),
    inference(rw,[status(thm)],[563,4523,theory(equality)]) ).

cnf(4555,negated_conjecture,
    aElementOf0(esk9_0,szNzAzT0),
    inference(cn,[status(thm)],[4554,theory(equality)]) ).

cnf(4562,negated_conjecture,
    ( aElementOf0(esk9_0,slbdtrb0(xm))
    | $false ),
    inference(rw,[status(thm)],[237,4523,theory(equality)]) ).

cnf(4563,negated_conjecture,
    aElementOf0(esk9_0,slbdtrb0(xm)),
    inference(cn,[status(thm)],[4562,theory(equality)]) ).

cnf(4567,negated_conjecture,
    ( sdtlseqdt0(X1,xn)
    | ~ sdtlseqdt0(X1,xm)
    | $false
    | ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(rw,[status(thm)],[4525,224,theory(equality)]) ).

cnf(4568,negated_conjecture,
    ( sdtlseqdt0(X1,xn)
    | ~ sdtlseqdt0(X1,xm)
    | $false
    | $false
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(rw,[status(thm)],[4567,223,theory(equality)]) ).

cnf(4569,negated_conjecture,
    ( sdtlseqdt0(X1,xn)
    | ~ sdtlseqdt0(X1,xm)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[4568,theory(equality)]) ).

cnf(4621,negated_conjecture,
    ( sdtlseqdt0(X1,esk9_0)
    | ~ sdtlseqdt0(X1,xn)
    | ~ aElementOf0(xn,szNzAzT0)
    | ~ aElementOf0(esk9_0,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[421,4546,theory(equality)]) ).

cnf(4627,negated_conjecture,
    ( sdtlseqdt0(X1,esk9_0)
    | ~ sdtlseqdt0(X1,xn)
    | $false
    | ~ aElementOf0(esk9_0,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(rw,[status(thm)],[4621,223,theory(equality)]) ).

cnf(4628,negated_conjecture,
    ( sdtlseqdt0(X1,esk9_0)
    | ~ sdtlseqdt0(X1,xn)
    | $false
    | $false
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(rw,[status(thm)],[4627,4555,theory(equality)]) ).

cnf(4629,negated_conjecture,
    ( sdtlseqdt0(X1,esk9_0)
    | ~ sdtlseqdt0(X1,xn)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[4628,theory(equality)]) ).

cnf(4838,negated_conjecture,
    ( ~ aElementOf0(esk9_0,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(esk9_0),xn)
    | ~ aElementOf0(szszuzczcdt0(esk9_0),szNzAzT0) ),
    inference(spm,[status(thm)],[4444,4629,theory(equality)]) ).

cnf(4847,negated_conjecture,
    ( $false
    | ~ sdtlseqdt0(szszuzczcdt0(esk9_0),xn)
    | ~ aElementOf0(szszuzczcdt0(esk9_0),szNzAzT0) ),
    inference(rw,[status(thm)],[4838,4555,theory(equality)]) ).

cnf(4848,negated_conjecture,
    ( ~ sdtlseqdt0(szszuzczcdt0(esk9_0),xn)
    | ~ aElementOf0(szszuzczcdt0(esk9_0),szNzAzT0) ),
    inference(cn,[status(thm)],[4847,theory(equality)]) ).

cnf(4885,negated_conjecture,
    ( ~ aElementOf0(szszuzczcdt0(esk9_0),szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(esk9_0),xm) ),
    inference(spm,[status(thm)],[4848,4569,theory(equality)]) ).

cnf(5231,negated_conjecture,
    ( ~ aElementOf0(szszuzczcdt0(esk9_0),szNzAzT0)
    | ~ aElementOf0(esk9_0,slbdtrb0(xm)) ),
    inference(spm,[status(thm)],[4885,613,theory(equality)]) ).

cnf(5240,negated_conjecture,
    ( ~ aElementOf0(szszuzczcdt0(esk9_0),szNzAzT0)
    | $false ),
    inference(rw,[status(thm)],[5231,4563,theory(equality)]) ).

cnf(5241,negated_conjecture,
    ~ aElementOf0(szszuzczcdt0(esk9_0),szNzAzT0),
    inference(cn,[status(thm)],[5240,theory(equality)]) ).

cnf(5262,negated_conjecture,
    ~ aElementOf0(esk9_0,szNzAzT0),
    inference(spm,[status(thm)],[5241,77,theory(equality)]) ).

cnf(5266,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[5262,4555,theory(equality)]) ).

cnf(5267,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[5266,theory(equality)]) ).

cnf(5268,negated_conjecture,
    $false,
    5267,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM542+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n036.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.625MB
% 0.03/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Fri Jan  5 08:07:30 CST 2018
% 0.03/0.23  % CPUTime  : 
% 0.03/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.27  --creating new selector for []
% 0.06/0.47  -running prover on /export/starexec/sandbox/tmp/tmpaKeqzW/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.47  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpaKeqzW/sel_theBenchmark.p_1']
% 0.06/0.47  -prover status Theorem
% 0.06/0.47  Problem theBenchmark.p solved in phase 0.
% 0.06/0.47  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.47  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.47  Solved 1 out of 1.
% 0.06/0.47  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.47  # SZS status Theorem
% 0.06/0.47  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.47  # SZS output end CNFRefutation
%------------------------------------------------------------------------------