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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM544+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n113.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 15:21:44 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   53 (  10 unt;   0 def)
%            Number of atoms       :  315 (   8 equ)
%            Maximal formula atoms :   23 (   5 avg)
%            Number of connectives :  410 ( 148   ~; 142   |; 101   &)
%                                         (   5 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   87 (   1 sgn  57   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(24,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X1,X2)
      <=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp5RYrFs/sel_theBenchmark.p_1',mSuccLess) ).

fof(28,axiom,
    ! [X1] :
      ( equal(X1,slcrc0)
    <=> ( aSet0(X1)
        & ~ ? [X2] : aElementOf0(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp5RYrFs/sel_theBenchmark.p_1',mDefEmp) ).

fof(34,axiom,
    ! [X1] :
      ( ( aSubsetOf0(X1,szNzAzT0)
        & isFinite0(X1)
        & ~ equal(X1,slcrc0) )
     => ! [X2] :
          ( equal(X2,szmzazxdt0(X1))
        <=> ( aElementOf0(X2,X1)
            & ! [X3] :
                ( aElementOf0(X3,X1)
               => sdtlseqdt0(X3,X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp5RYrFs/sel_theBenchmark.p_1',mDefMax) ).

fof(37,conjecture,
    ( ~ ( ~ ? [X1] : aElementOf0(X1,xS)
        | equal(xS,slcrc0) )
   => ( ( aElementOf0(szmzazxdt0(xS),xS)
        & ! [X1] :
            ( aElementOf0(X1,xS)
           => sdtlseqdt0(X1,szmzazxdt0(xS)) ) )
     => ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
          & ! [X1] :
              ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
            <=> ( aElementOf0(X1,szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
       => ( ! [X1] :
              ( aElementOf0(X1,xS)
             => aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
          | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp5RYrFs/sel_theBenchmark.p_1',m__) ).

fof(51,axiom,
    ( aSet0(xS)
    & ! [X1] :
        ( aElementOf0(X1,xS)
       => aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isFinite0(xS) ),
    file('/export/starexec/sandbox2/tmp/tmp5RYrFs/sel_theBenchmark.p_1',m__1986) ).

fof(57,negated_conjecture,
    ~ ( ~ ( ~ ? [X1] : aElementOf0(X1,xS)
          | equal(xS,slcrc0) )
     => ( ( aElementOf0(szmzazxdt0(xS),xS)
          & ! [X1] :
              ( aElementOf0(X1,xS)
             => sdtlseqdt0(X1,szmzazxdt0(xS)) ) )
       => ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
            & ! [X1] :
                ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
              <=> ( aElementOf0(X1,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
         => ( ! [X1] :
                ( aElementOf0(X1,xS)
               => aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
            | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ),
    inference(assume_negation,[status(cth)],[37]) ).

fof(166,plain,
    ! [X1,X2] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X2,szNzAzT0)
      | ( ( ~ sdtlseqdt0(X1,X2)
          | sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) )
        & ( ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
          | sdtlseqdt0(X1,X2) ) ) ),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(167,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | ( ( ~ sdtlseqdt0(X3,X4)
          | sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4)) )
        & ( ~ sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
          | sdtlseqdt0(X3,X4) ) ) ),
    inference(variable_rename,[status(thm)],[166]) ).

fof(168,plain,
    ! [X3,X4] :
      ( ( ~ sdtlseqdt0(X3,X4)
        | sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
        | ~ aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
        | sdtlseqdt0(X3,X4)
        | ~ aElementOf0(X3,szNzAzT0)
        | ~ aElementOf0(X4,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[167]) ).

cnf(170,plain,
    ( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[168]) ).

fof(182,plain,
    ! [X1] :
      ( ( ~ equal(X1,slcrc0)
        | ( aSet0(X1)
          & ! [X2] : ~ aElementOf0(X2,X1) ) )
      & ( ~ aSet0(X1)
        | ? [X2] : aElementOf0(X2,X1)
        | equal(X1,slcrc0) ) ),
    inference(fof_nnf,[status(thm)],[28]) ).

fof(183,plain,
    ! [X3] :
      ( ( ~ equal(X3,slcrc0)
        | ( aSet0(X3)
          & ! [X4] : ~ aElementOf0(X4,X3) ) )
      & ( ~ aSet0(X3)
        | ? [X5] : aElementOf0(X5,X3)
        | equal(X3,slcrc0) ) ),
    inference(variable_rename,[status(thm)],[182]) ).

fof(184,plain,
    ! [X3] :
      ( ( ~ equal(X3,slcrc0)
        | ( aSet0(X3)
          & ! [X4] : ~ aElementOf0(X4,X3) ) )
      & ( ~ aSet0(X3)
        | aElementOf0(esk6_1(X3),X3)
        | equal(X3,slcrc0) ) ),
    inference(skolemize,[status(esa)],[183]) ).

fof(185,plain,
    ! [X3,X4] :
      ( ( ( ~ aElementOf0(X4,X3)
          & aSet0(X3) )
        | ~ equal(X3,slcrc0) )
      & ( ~ aSet0(X3)
        | aElementOf0(esk6_1(X3),X3)
        | equal(X3,slcrc0) ) ),
    inference(shift_quantors,[status(thm)],[184]) ).

fof(186,plain,
    ! [X3,X4] :
      ( ( ~ aElementOf0(X4,X3)
        | ~ equal(X3,slcrc0) )
      & ( aSet0(X3)
        | ~ equal(X3,slcrc0) )
      & ( ~ aSet0(X3)
        | aElementOf0(esk6_1(X3),X3)
        | equal(X3,slcrc0) ) ),
    inference(distribute,[status(thm)],[185]) ).

cnf(189,plain,
    ( X1 != slcrc0
    | ~ aElementOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[186]) ).

fof(203,plain,
    ! [X1] :
      ( ~ aSubsetOf0(X1,szNzAzT0)
      | ~ isFinite0(X1)
      | equal(X1,slcrc0)
      | ! [X2] :
          ( ( ~ equal(X2,szmzazxdt0(X1))
            | ( aElementOf0(X2,X1)
              & ! [X3] :
                  ( ~ aElementOf0(X3,X1)
                  | sdtlseqdt0(X3,X2) ) ) )
          & ( ~ aElementOf0(X2,X1)
            | ? [X3] :
                ( aElementOf0(X3,X1)
                & ~ sdtlseqdt0(X3,X2) )
            | equal(X2,szmzazxdt0(X1)) ) ) ),
    inference(fof_nnf,[status(thm)],[34]) ).

fof(204,plain,
    ! [X4] :
      ( ~ aSubsetOf0(X4,szNzAzT0)
      | ~ isFinite0(X4)
      | equal(X4,slcrc0)
      | ! [X5] :
          ( ( ~ equal(X5,szmzazxdt0(X4))
            | ( aElementOf0(X5,X4)
              & ! [X6] :
                  ( ~ aElementOf0(X6,X4)
                  | sdtlseqdt0(X6,X5) ) ) )
          & ( ~ aElementOf0(X5,X4)
            | ? [X7] :
                ( aElementOf0(X7,X4)
                & ~ sdtlseqdt0(X7,X5) )
            | equal(X5,szmzazxdt0(X4)) ) ) ),
    inference(variable_rename,[status(thm)],[203]) ).

fof(205,plain,
    ! [X4] :
      ( ~ aSubsetOf0(X4,szNzAzT0)
      | ~ isFinite0(X4)
      | equal(X4,slcrc0)
      | ! [X5] :
          ( ( ~ equal(X5,szmzazxdt0(X4))
            | ( aElementOf0(X5,X4)
              & ! [X6] :
                  ( ~ aElementOf0(X6,X4)
                  | sdtlseqdt0(X6,X5) ) ) )
          & ( ~ aElementOf0(X5,X4)
            | ( aElementOf0(esk7_2(X4,X5),X4)
              & ~ sdtlseqdt0(esk7_2(X4,X5),X5) )
            | equal(X5,szmzazxdt0(X4)) ) ) ),
    inference(skolemize,[status(esa)],[204]) ).

fof(206,plain,
    ! [X4,X5,X6] :
      ( ( ( ( ( ~ aElementOf0(X6,X4)
              | sdtlseqdt0(X6,X5) )
            & aElementOf0(X5,X4) )
          | ~ equal(X5,szmzazxdt0(X4)) )
        & ( ~ aElementOf0(X5,X4)
          | ( aElementOf0(esk7_2(X4,X5),X4)
            & ~ sdtlseqdt0(esk7_2(X4,X5),X5) )
          | equal(X5,szmzazxdt0(X4)) ) )
      | ~ aSubsetOf0(X4,szNzAzT0)
      | ~ isFinite0(X4)
      | equal(X4,slcrc0) ),
    inference(shift_quantors,[status(thm)],[205]) ).

fof(207,plain,
    ! [X4,X5,X6] :
      ( ( ~ aElementOf0(X6,X4)
        | sdtlseqdt0(X6,X5)
        | ~ equal(X5,szmzazxdt0(X4))
        | ~ aSubsetOf0(X4,szNzAzT0)
        | ~ isFinite0(X4)
        | equal(X4,slcrc0) )
      & ( aElementOf0(X5,X4)
        | ~ equal(X5,szmzazxdt0(X4))
        | ~ aSubsetOf0(X4,szNzAzT0)
        | ~ isFinite0(X4)
        | equal(X4,slcrc0) )
      & ( aElementOf0(esk7_2(X4,X5),X4)
        | ~ aElementOf0(X5,X4)
        | equal(X5,szmzazxdt0(X4))
        | ~ aSubsetOf0(X4,szNzAzT0)
        | ~ isFinite0(X4)
        | equal(X4,slcrc0) )
      & ( ~ sdtlseqdt0(esk7_2(X4,X5),X5)
        | ~ aElementOf0(X5,X4)
        | equal(X5,szmzazxdt0(X4))
        | ~ aSubsetOf0(X4,szNzAzT0)
        | ~ isFinite0(X4)
        | equal(X4,slcrc0) ) ),
    inference(distribute,[status(thm)],[206]) ).

cnf(211,plain,
    ( X1 = slcrc0
    | sdtlseqdt0(X3,X2)
    | ~ isFinite0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0)
    | X2 != szmzazxdt0(X1)
    | ~ aElementOf0(X3,X1) ),
    inference(split_conjunct,[status(thm)],[207]) ).

fof(229,negated_conjecture,
    ( ? [X1] : aElementOf0(X1,xS)
    & ~ equal(xS,slcrc0)
    & aElementOf0(szmzazxdt0(xS),xS)
    & ! [X1] :
        ( ~ aElementOf0(X1,xS)
        | sdtlseqdt0(X1,szmzazxdt0(xS)) )
    & aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    & ! [X1] :
        ( ( ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
          | ( aElementOf0(X1,szNzAzT0)
            & sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) ) )
        & ( ~ aElementOf0(X1,szNzAzT0)
          | ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS)))
          | aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
    & ? [X1] :
        ( aElementOf0(X1,xS)
        & ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
    & ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
    inference(fof_nnf,[status(thm)],[57]) ).

fof(230,negated_conjecture,
    ( ? [X2] : aElementOf0(X2,xS)
    & ~ equal(xS,slcrc0)
    & aElementOf0(szmzazxdt0(xS),xS)
    & ! [X3] :
        ( ~ aElementOf0(X3,xS)
        | sdtlseqdt0(X3,szmzazxdt0(xS)) )
    & aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    & ! [X4] :
        ( ( ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
          | ( aElementOf0(X4,szNzAzT0)
            & sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS))) ) )
        & ( ~ aElementOf0(X4,szNzAzT0)
          | ~ sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
          | aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
    & ? [X5] :
        ( aElementOf0(X5,xS)
        & ~ aElementOf0(X5,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
    & ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
    inference(variable_rename,[status(thm)],[229]) ).

fof(231,negated_conjecture,
    ( aElementOf0(esk9_0,xS)
    & ~ equal(xS,slcrc0)
    & aElementOf0(szmzazxdt0(xS),xS)
    & ! [X3] :
        ( ~ aElementOf0(X3,xS)
        | sdtlseqdt0(X3,szmzazxdt0(xS)) )
    & aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    & ! [X4] :
        ( ( ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
          | ( aElementOf0(X4,szNzAzT0)
            & sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS))) ) )
        & ( ~ aElementOf0(X4,szNzAzT0)
          | ~ sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
          | aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
    & aElementOf0(esk10_0,xS)
    & ~ aElementOf0(esk10_0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    & ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
    inference(skolemize,[status(esa)],[230]) ).

fof(232,negated_conjecture,
    ! [X3,X4] :
      ( ( ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
        | ( aElementOf0(X4,szNzAzT0)
          & sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS))) ) )
      & ( ~ aElementOf0(X4,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
        | aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
      & aElementOf0(esk10_0,xS)
      & ~ aElementOf0(esk10_0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
      & ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
      & ( ~ aElementOf0(X3,xS)
        | sdtlseqdt0(X3,szmzazxdt0(xS)) )
      & aElementOf0(szmzazxdt0(xS),xS)
      & aElementOf0(esk9_0,xS)
      & ~ equal(xS,slcrc0) ),
    inference(shift_quantors,[status(thm)],[231]) ).

fof(233,negated_conjecture,
    ! [X3,X4] :
      ( ( aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
        | ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( ~ aElementOf0(X4,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
        | aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
      & aElementOf0(esk10_0,xS)
      & ~ aElementOf0(esk10_0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
      & ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
      & ( ~ aElementOf0(X3,xS)
        | sdtlseqdt0(X3,szmzazxdt0(xS)) )
      & aElementOf0(szmzazxdt0(xS),xS)
      & aElementOf0(esk9_0,xS)
      & ~ equal(xS,slcrc0) ),
    inference(distribute,[status(thm)],[232]) ).

cnf(236,negated_conjecture,
    aElementOf0(szmzazxdt0(xS),xS),
    inference(split_conjunct,[status(thm)],[233]) ).

cnf(239,negated_conjecture,
    ~ aElementOf0(esk10_0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
    inference(split_conjunct,[status(thm)],[233]) ).

cnf(240,negated_conjecture,
    aElementOf0(esk10_0,xS),
    inference(split_conjunct,[status(thm)],[233]) ).

cnf(242,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    | ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS)))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[233]) ).

fof(298,plain,
    ( aSet0(xS)
    & ! [X1] :
        ( ~ aElementOf0(X1,xS)
        | aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isFinite0(xS) ),
    inference(fof_nnf,[status(thm)],[51]) ).

fof(299,plain,
    ( aSet0(xS)
    & ! [X2] :
        ( ~ aElementOf0(X2,xS)
        | aElementOf0(X2,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isFinite0(xS) ),
    inference(variable_rename,[status(thm)],[298]) ).

fof(300,plain,
    ! [X2] :
      ( ( ~ aElementOf0(X2,xS)
        | aElementOf0(X2,szNzAzT0) )
      & aSet0(xS)
      & aSubsetOf0(xS,szNzAzT0)
      & isFinite0(xS) ),
    inference(shift_quantors,[status(thm)],[299]) ).

cnf(301,plain,
    isFinite0(xS),
    inference(split_conjunct,[status(thm)],[300]) ).

cnf(302,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(split_conjunct,[status(thm)],[300]) ).

cnf(304,plain,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[300]) ).

cnf(324,negated_conjecture,
    aElementOf0(esk10_0,szNzAzT0),
    inference(spm,[status(thm)],[304,240,theory(equality)]) ).

cnf(325,negated_conjecture,
    aElementOf0(szmzazxdt0(xS),szNzAzT0),
    inference(spm,[status(thm)],[304,236,theory(equality)]) ).

cnf(433,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(X1,szmzazxdt0(xS))
    | ~ aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
    inference(spm,[status(thm)],[242,170,theory(equality)]) ).

cnf(559,plain,
    ( sdtlseqdt0(X3,X2)
    | szmzazxdt0(X1) != X2
    | ~ isFinite0(X1)
    | ~ aElementOf0(X3,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[211,189]) ).

cnf(561,negated_conjecture,
    ( sdtlseqdt0(esk10_0,X1)
    | szmzazxdt0(xS) != X1
    | ~ isFinite0(xS)
    | ~ aSubsetOf0(xS,szNzAzT0) ),
    inference(spm,[status(thm)],[559,240,theory(equality)]) ).

cnf(573,negated_conjecture,
    ( sdtlseqdt0(esk10_0,X1)
    | szmzazxdt0(xS) != X1
    | $false
    | ~ aSubsetOf0(xS,szNzAzT0) ),
    inference(rw,[status(thm)],[561,301,theory(equality)]) ).

cnf(574,negated_conjecture,
    ( sdtlseqdt0(esk10_0,X1)
    | szmzazxdt0(xS) != X1
    | $false
    | $false ),
    inference(rw,[status(thm)],[573,302,theory(equality)]) ).

cnf(575,negated_conjecture,
    ( sdtlseqdt0(esk10_0,X1)
    | szmzazxdt0(xS) != X1 ),
    inference(cn,[status(thm)],[574,theory(equality)]) ).

cnf(854,negated_conjecture,
    sdtlseqdt0(esk10_0,szmzazxdt0(xS)),
    inference(er,[status(thm)],[575,theory(equality)]) ).

cnf(1951,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(X1,szmzazxdt0(xS))
    | $false ),
    inference(rw,[status(thm)],[433,325,theory(equality)]) ).

cnf(1952,negated_conjecture,
    ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(X1,szmzazxdt0(xS)) ),
    inference(cn,[status(thm)],[1951,theory(equality)]) ).

cnf(1953,negated_conjecture,
    ( ~ sdtlseqdt0(esk10_0,szmzazxdt0(xS))
    | ~ aElementOf0(esk10_0,szNzAzT0) ),
    inference(spm,[status(thm)],[239,1952,theory(equality)]) ).

cnf(1974,negated_conjecture,
    ( $false
    | ~ aElementOf0(esk10_0,szNzAzT0) ),
    inference(rw,[status(thm)],[1953,854,theory(equality)]) ).

cnf(1975,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[1974,324,theory(equality)]) ).

cnf(1976,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[1975,theory(equality)]) ).

cnf(1977,negated_conjecture,
    $false,
    1976,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM544+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.24  % Computer : n113.star.cs.uiowa.edu
% 0.02/0.24  % Model    : x86_64 x86_64
% 0.02/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24  % Memory   : 32218.625MB
% 0.02/0.24  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24  % CPULimit : 300
% 0.02/0.24  % DateTime : Fri Jan  5 08:13:30 CST 2018
% 0.02/0.24  % CPUTime  : 
% 0.02/0.28  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28  --creating new selector for []
% 0.06/0.39  -running prover on /export/starexec/sandbox2/tmp/tmp5RYrFs/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.39  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmp5RYrFs/sel_theBenchmark.p_1']
% 0.06/0.39  -prover status Theorem
% 0.06/0.39  Problem theBenchmark.p solved in phase 0.
% 0.06/0.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.39  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.39  Solved 1 out of 1.
% 0.06/0.39  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.39  # SZS status Theorem
% 0.06/0.39  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.40  # SZS output end CNFRefutation
%------------------------------------------------------------------------------