TSTP Solution File: NUM545+2 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM545+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n111.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      :    6
% Syntax   : Number of formulae    :   45 (  11 unt;   0 def)
%            Number of atoms       :  273 (   4 equ)
%            Maximal formula atoms :   44 (   6 avg)
%            Number of connectives :  347 ( 119   ~; 106   |; 109   &)
%                                         (   4 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-1 aty)
%            Number of variables   :   68 (   3 sgn  52   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(6,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        & ~ equal(szszuzczcdt0(X1),sz00) ) ),
    file('/export/starexec/sandbox2/tmp/tmpwhe5Kb/sel_theBenchmark.p_1',mSuccNum) ).

fof(28,axiom,
    ! [X1] :
      ( equal(X1,slcrc0)
    <=> ( aSet0(X1)
        & ~ ? [X2] : aElementOf0(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmpwhe5Kb/sel_theBenchmark.p_1',mDefEmp) ).

fof(32,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/tmpwhe5Kb/sel_theBenchmark.p_1',mZeroNum) ).

fof(37,conjecture,
    ? [X1] :
      ( aElementOf0(X1,szNzAzT0)
      & ( ( aSet0(slbdtrb0(X1))
          & ! [X2] :
              ( aElementOf0(X2,slbdtrb0(X1))
            <=> ( aElementOf0(X2,szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(X2),X1) ) ) )
       => ( ! [X2] :
              ( aElementOf0(X2,xS)
             => aElementOf0(X2,slbdtrb0(X1)) )
          | aSubsetOf0(xS,slbdtrb0(X1)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmpwhe5Kb/sel_theBenchmark.p_1',m__) ).

fof(39,axiom,
    ( ~ ( ~ ? [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/tmpwhe5Kb/sel_theBenchmark.p_1',m__2035) ).

fof(52,axiom,
    ( aSet0(xS)
    & ! [X1] :
        ( aElementOf0(X1,xS)
       => aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isFinite0(xS) ),
    file('/export/starexec/sandbox2/tmp/tmpwhe5Kb/sel_theBenchmark.p_1',m__1986) ).

fof(58,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,szNzAzT0)
        & ( ( aSet0(slbdtrb0(X1))
            & ! [X2] :
                ( aElementOf0(X2,slbdtrb0(X1))
              <=> ( aElementOf0(X2,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(X2),X1) ) ) )
         => ( ! [X2] :
                ( aElementOf0(X2,xS)
               => aElementOf0(X2,slbdtrb0(X1)) )
            | aSubsetOf0(xS,slbdtrb0(X1)) ) ) ),
    inference(assume_negation,[status(cth)],[37]) ).

fof(75,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        & ~ equal(szszuzczcdt0(X1),sz00) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(76,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
        & ~ equal(szszuzczcdt0(X2),sz00) ) ),
    inference(variable_rename,[status(thm)],[75]) ).

fof(77,plain,
    ! [X2] :
      ( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
        | ~ aElementOf0(X2,szNzAzT0) )
      & ( ~ equal(szszuzczcdt0(X2),sz00)
        | ~ aElementOf0(X2,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[76]) ).

cnf(79,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[77]) ).

fof(183,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(184,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)],[183]) ).

fof(185,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)],[184]) ).

fof(186,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)],[185]) ).

fof(187,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)],[186]) ).

cnf(190,plain,
    ( X1 != slcrc0
    | ~ aElementOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[187]) ).

cnf(200,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(split_conjunct,[status(thm)],[32]) ).

fof(230,negated_conjecture,
    ! [X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ( aSet0(slbdtrb0(X1))
        & ! [X2] :
            ( ( ~ aElementOf0(X2,slbdtrb0(X1))
              | ( aElementOf0(X2,szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(X2),X1) ) )
            & ( ~ aElementOf0(X2,szNzAzT0)
              | ~ sdtlseqdt0(szszuzczcdt0(X2),X1)
              | aElementOf0(X2,slbdtrb0(X1)) ) )
        & ? [X2] :
            ( aElementOf0(X2,xS)
            & ~ aElementOf0(X2,slbdtrb0(X1)) )
        & ~ aSubsetOf0(xS,slbdtrb0(X1)) ) ),
    inference(fof_nnf,[status(thm)],[58]) ).

fof(231,negated_conjecture,
    ! [X3] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ( aSet0(slbdtrb0(X3))
        & ! [X4] :
            ( ( ~ aElementOf0(X4,slbdtrb0(X3))
              | ( aElementOf0(X4,szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(X4),X3) ) )
            & ( ~ aElementOf0(X4,szNzAzT0)
              | ~ sdtlseqdt0(szszuzczcdt0(X4),X3)
              | aElementOf0(X4,slbdtrb0(X3)) ) )
        & ? [X5] :
            ( aElementOf0(X5,xS)
            & ~ aElementOf0(X5,slbdtrb0(X3)) )
        & ~ aSubsetOf0(xS,slbdtrb0(X3)) ) ),
    inference(variable_rename,[status(thm)],[230]) ).

fof(232,negated_conjecture,
    ! [X3] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ( aSet0(slbdtrb0(X3))
        & ! [X4] :
            ( ( ~ aElementOf0(X4,slbdtrb0(X3))
              | ( aElementOf0(X4,szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(X4),X3) ) )
            & ( ~ aElementOf0(X4,szNzAzT0)
              | ~ sdtlseqdt0(szszuzczcdt0(X4),X3)
              | aElementOf0(X4,slbdtrb0(X3)) ) )
        & aElementOf0(esk9_1(X3),xS)
        & ~ aElementOf0(esk9_1(X3),slbdtrb0(X3))
        & ~ aSubsetOf0(xS,slbdtrb0(X3)) ) ),
    inference(skolemize,[status(esa)],[231]) ).

fof(233,negated_conjecture,
    ! [X3,X4] :
      ( ( ( ~ aElementOf0(X4,slbdtrb0(X3))
          | ( aElementOf0(X4,szNzAzT0)
            & sdtlseqdt0(szszuzczcdt0(X4),X3) ) )
        & ( ~ aElementOf0(X4,szNzAzT0)
          | ~ sdtlseqdt0(szszuzczcdt0(X4),X3)
          | aElementOf0(X4,slbdtrb0(X3)) )
        & aSet0(slbdtrb0(X3))
        & aElementOf0(esk9_1(X3),xS)
        & ~ aElementOf0(esk9_1(X3),slbdtrb0(X3))
        & ~ aSubsetOf0(xS,slbdtrb0(X3)) )
      | ~ aElementOf0(X3,szNzAzT0) ),
    inference(shift_quantors,[status(thm)],[232]) ).

fof(234,negated_conjecture,
    ! [X3,X4] :
      ( ( aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X4,slbdtrb0(X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( sdtlseqdt0(szszuzczcdt0(X4),X3)
        | ~ aElementOf0(X4,slbdtrb0(X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X4,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X4),X3)
        | aElementOf0(X4,slbdtrb0(X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSet0(slbdtrb0(X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aElementOf0(esk9_1(X3),xS)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(esk9_1(X3),slbdtrb0(X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aSubsetOf0(xS,slbdtrb0(X3))
        | ~ aElementOf0(X3,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[233]) ).

cnf(235,negated_conjecture,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ aSubsetOf0(xS,slbdtrb0(X1)) ),
    inference(split_conjunct,[status(thm)],[234]) ).

cnf(237,negated_conjecture,
    ( aElementOf0(esk9_1(X1),xS)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[234]) ).

fof(245,plain,
    ( ( ! [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)],[39]) ).

fof(246,plain,
    ( ( ! [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)],[245]) ).

fof(247,plain,
    ! [X2,X3,X4,X5] :
      ( ( ( ~ aElementOf0(X5,xS)
          | aElementOf0(X5,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
        & ( ~ 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(X3,xS)
          | sdtlseqdt0(X3,szmzazxdt0(xS)) )
        & aElementOf0(szmzazxdt0(xS),xS)
        & aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
        & aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      | ( ~ aElementOf0(X2,xS)
        & equal(xS,slcrc0) ) ),
    inference(shift_quantors,[status(thm)],[246]) ).

fof(248,plain,
    ! [X2,X3,X4,X5] :
      ( ( ~ aElementOf0(X2,xS)
        | ~ aElementOf0(X5,xS)
        | aElementOf0(X5,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( equal(xS,slcrc0)
        | ~ aElementOf0(X5,xS)
        | aElementOf0(X5,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( ~ aElementOf0(X2,xS)
        | aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( equal(xS,slcrc0)
        | aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( ~ aElementOf0(X2,xS)
        | sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
        | ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( equal(xS,slcrc0)
        | sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
        | ~ aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( ~ aElementOf0(X2,xS)
        | ~ aElementOf0(X4,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
        | aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( equal(xS,slcrc0)
        | ~ aElementOf0(X4,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X4),szszuzczcdt0(szmzazxdt0(xS)))
        | aElementOf0(X4,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( ~ aElementOf0(X2,xS)
        | ~ aElementOf0(X3,xS)
        | sdtlseqdt0(X3,szmzazxdt0(xS)) )
      & ( equal(xS,slcrc0)
        | ~ aElementOf0(X3,xS)
        | sdtlseqdt0(X3,szmzazxdt0(xS)) )
      & ( ~ aElementOf0(X2,xS)
        | aElementOf0(szmzazxdt0(xS),xS) )
      & ( equal(xS,slcrc0)
        | aElementOf0(szmzazxdt0(xS),xS) )
      & ( ~ aElementOf0(X2,xS)
        | aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( equal(xS,slcrc0)
        | aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( ~ aElementOf0(X2,xS)
        | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
      & ( equal(xS,slcrc0)
        | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ),
    inference(distribute,[status(thm)],[247]) ).

cnf(250,plain,
    ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    | ~ aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[248]) ).

cnf(253,plain,
    ( aElementOf0(szmzazxdt0(xS),xS)
    | xS = slcrc0 ),
    inference(split_conjunct,[status(thm)],[248]) ).

fof(315,plain,
    ( aSet0(xS)
    & ! [X1] :
        ( ~ aElementOf0(X1,xS)
        | aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isFinite0(xS) ),
    inference(fof_nnf,[status(thm)],[52]) ).

fof(316,plain,
    ( aSet0(xS)
    & ! [X2] :
        ( ~ aElementOf0(X2,xS)
        | aElementOf0(X2,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isFinite0(xS) ),
    inference(variable_rename,[status(thm)],[315]) ).

fof(317,plain,
    ! [X2] :
      ( ( ~ aElementOf0(X2,xS)
        | aElementOf0(X2,szNzAzT0) )
      & aSet0(xS)
      & aSubsetOf0(xS,szNzAzT0)
      & isFinite0(xS) ),
    inference(shift_quantors,[status(thm)],[316]) ).

cnf(321,plain,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[317]) ).

cnf(367,negated_conjecture,
    ( slcrc0 != xS
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[190,237,theory(equality)]) ).

cnf(905,negated_conjecture,
    slcrc0 != xS,
    inference(spm,[status(thm)],[367,200,theory(equality)]) ).

cnf(922,plain,
    aElementOf0(szmzazxdt0(xS),xS),
    inference(sr,[status(thm)],[253,905,theory(equality)]) ).

cnf(926,plain,
    aElementOf0(szmzazxdt0(xS),szNzAzT0),
    inference(spm,[status(thm)],[321,922,theory(equality)]) ).

cnf(928,plain,
    aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
    inference(spm,[status(thm)],[250,922,theory(equality)]) ).

cnf(971,plain,
    ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
    inference(spm,[status(thm)],[235,928,theory(equality)]) ).

cnf(990,plain,
    ~ aElementOf0(szmzazxdt0(xS),szNzAzT0),
    inference(spm,[status(thm)],[971,79,theory(equality)]) ).

cnf(991,plain,
    $false,
    inference(rw,[status(thm)],[990,926,theory(equality)]) ).

cnf(992,plain,
    $false,
    inference(cn,[status(thm)],[991,theory(equality)]) ).

cnf(993,plain,
    $false,
    992,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM545+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n111.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 32218.625MB
% 0.02/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Jan  5 09:57:00 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.27  --creating new selector for []
% 0.06/0.37  -running prover on /export/starexec/sandbox2/tmp/tmpwhe5Kb/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.37  -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/tmpwhe5Kb/sel_theBenchmark.p_1']
% 0.06/0.37  -prover status Theorem
% 0.06/0.37  Problem theBenchmark.p solved in phase 0.
% 0.06/0.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.37  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.37  Solved 1 out of 1.
% 0.06/0.37  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.37  # SZS status Theorem
% 0.06/0.37  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.37  # SZS output end CNFRefutation
%------------------------------------------------------------------------------