TSTP Solution File: NUM545+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM545+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n096.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      :   18
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   78 (  16 unt;   0 def)
%            Number of atoms       :  388 (  18 equ)
%            Maximal formula atoms :   32 (   4 avg)
%            Number of connectives :  509 ( 199   ~; 213   |;  85   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  105 (   1 sgn  71   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(5,axiom,
    equal(slbdtrb0(sz00),slcrc0),
    file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mSegZero) ).

fof(6,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        & ~ equal(szszuzczcdt0(X1),sz00) ) ),
    file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mSuccNum) ).

fof(15,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mDefSub) ).

fof(28,axiom,
    ! [X1] :
      ( equal(X1,slcrc0)
    <=> ( aSet0(X1)
        & ~ ? [X2] : aElementOf0(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mDefEmp) ).

fof(32,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mZeroNum) ).

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/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mDefMax) ).

fof(36,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ! [X2] :
          ( equal(X2,slbdtrb0(X1))
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElementOf0(X3,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mDefSeg) ).

fof(37,conjecture,
    ? [X1] :
      ( aElementOf0(X1,szNzAzT0)
      & aSubsetOf0(xS,slbdtrb0(X1)) ),
    file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',m__) ).

fof(39,axiom,
    ( ~ equal(xS,slcrc0)
   => aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
    file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',m__2035) ).

fof(44,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mNATSet) ).

fof(52,axiom,
    ( aSubsetOf0(xS,szNzAzT0)
    & isFinite0(xS) ),
    file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',m__1986) ).

fof(58,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,szNzAzT0)
        & aSubsetOf0(xS,slbdtrb0(X1)) ),
    inference(assume_negation,[status(cth)],[37]) ).

cnf(74,plain,
    slbdtrb0(sz00) = slcrc0,
    inference(split_conjunct,[status(thm)],[5]) ).

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(126,plain,
    ! [X1] :
      ( ~ aSet0(X1)
      | ! [X2] :
          ( ( ~ aSubsetOf0(X2,X1)
            | ( aSet0(X2)
              & ! [X3] :
                  ( ~ aElementOf0(X3,X2)
                  | aElementOf0(X3,X1) ) ) )
          & ( ~ aSet0(X2)
            | ? [X3] :
                ( aElementOf0(X3,X2)
                & ~ aElementOf0(X3,X1) )
            | aSubsetOf0(X2,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(127,plain,
    ! [X4] :
      ( ~ aSet0(X4)
      | ! [X5] :
          ( ( ~ aSubsetOf0(X5,X4)
            | ( aSet0(X5)
              & ! [X6] :
                  ( ~ aElementOf0(X6,X5)
                  | aElementOf0(X6,X4) ) ) )
          & ( ~ aSet0(X5)
            | ? [X7] :
                ( aElementOf0(X7,X5)
                & ~ aElementOf0(X7,X4) )
            | aSubsetOf0(X5,X4) ) ) ),
    inference(variable_rename,[status(thm)],[126]) ).

fof(128,plain,
    ! [X4] :
      ( ~ aSet0(X4)
      | ! [X5] :
          ( ( ~ aSubsetOf0(X5,X4)
            | ( aSet0(X5)
              & ! [X6] :
                  ( ~ aElementOf0(X6,X5)
                  | aElementOf0(X6,X4) ) ) )
          & ( ~ aSet0(X5)
            | ( aElementOf0(esk4_2(X4,X5),X5)
              & ~ aElementOf0(esk4_2(X4,X5),X4) )
            | aSubsetOf0(X5,X4) ) ) ),
    inference(skolemize,[status(esa)],[127]) ).

fof(129,plain,
    ! [X4,X5,X6] :
      ( ( ( ( ( ~ aElementOf0(X6,X5)
              | aElementOf0(X6,X4) )
            & aSet0(X5) )
          | ~ aSubsetOf0(X5,X4) )
        & ( ~ aSet0(X5)
          | ( aElementOf0(esk4_2(X4,X5),X5)
            & ~ aElementOf0(esk4_2(X4,X5),X4) )
          | aSubsetOf0(X5,X4) ) )
      | ~ aSet0(X4) ),
    inference(shift_quantors,[status(thm)],[128]) ).

fof(130,plain,
    ! [X4,X5,X6] :
      ( ( ~ aElementOf0(X6,X5)
        | aElementOf0(X6,X4)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( aSet0(X5)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( aElementOf0(esk4_2(X4,X5),X5)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(esk4_2(X4,X5),X4)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) ) ),
    inference(distribute,[status(thm)],[129]) ).

cnf(132,plain,
    ( aSubsetOf0(X2,X1)
    | aElementOf0(esk4_2(X1,X2),X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[130]) ).

cnf(134,plain,
    ( aElementOf0(X3,X1)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X2,X1)
    | ~ aElementOf0(X3,X2) ),
    inference(split_conjunct,[status(thm)],[130]) ).

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(189,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    inference(split_conjunct,[status(thm)],[187]) ).

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(204,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(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)
            | ? [X7] :
                ( aElementOf0(X7,X4)
                & ~ sdtlseqdt0(X7,X5) )
            | equal(X5,szmzazxdt0(X4)) ) ) ),
    inference(variable_rename,[status(thm)],[204]) ).

fof(206,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)],[205]) ).

fof(207,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)],[206]) ).

fof(208,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)],[207]) ).

cnf(211,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | ~ isFinite0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0)
    | X2 != szmzazxdt0(X1) ),
    inference(split_conjunct,[status(thm)],[208]) ).

fof(218,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ! [X2] :
          ( ( ~ equal(X2,slbdtrb0(X1))
            | ( aSet0(X2)
              & ! [X3] :
                  ( ( ~ aElementOf0(X3,X2)
                    | ( aElementOf0(X3,szNzAzT0)
                      & sdtlseqdt0(szszuzczcdt0(X3),X1) ) )
                  & ( ~ aElementOf0(X3,szNzAzT0)
                    | ~ sdtlseqdt0(szszuzczcdt0(X3),X1)
                    | aElementOf0(X3,X2) ) ) ) )
          & ( ~ aSet0(X2)
            | ? [X3] :
                ( ( ~ aElementOf0(X3,X2)
                  | ~ aElementOf0(X3,szNzAzT0)
                  | ~ sdtlseqdt0(szszuzczcdt0(X3),X1) )
                & ( aElementOf0(X3,X2)
                  | ( aElementOf0(X3,szNzAzT0)
                    & sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) )
            | equal(X2,slbdtrb0(X1)) ) ) ),
    inference(fof_nnf,[status(thm)],[36]) ).

fof(219,plain,
    ! [X4] :
      ( ~ aElementOf0(X4,szNzAzT0)
      | ! [X5] :
          ( ( ~ equal(X5,slbdtrb0(X4))
            | ( aSet0(X5)
              & ! [X6] :
                  ( ( ~ aElementOf0(X6,X5)
                    | ( aElementOf0(X6,szNzAzT0)
                      & sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
                  & ( ~ aElementOf0(X6,szNzAzT0)
                    | ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
                    | aElementOf0(X6,X5) ) ) ) )
          & ( ~ aSet0(X5)
            | ? [X7] :
                ( ( ~ aElementOf0(X7,X5)
                  | ~ aElementOf0(X7,szNzAzT0)
                  | ~ sdtlseqdt0(szszuzczcdt0(X7),X4) )
                & ( aElementOf0(X7,X5)
                  | ( aElementOf0(X7,szNzAzT0)
                    & sdtlseqdt0(szszuzczcdt0(X7),X4) ) ) )
            | equal(X5,slbdtrb0(X4)) ) ) ),
    inference(variable_rename,[status(thm)],[218]) ).

fof(220,plain,
    ! [X4] :
      ( ~ aElementOf0(X4,szNzAzT0)
      | ! [X5] :
          ( ( ~ equal(X5,slbdtrb0(X4))
            | ( aSet0(X5)
              & ! [X6] :
                  ( ( ~ aElementOf0(X6,X5)
                    | ( aElementOf0(X6,szNzAzT0)
                      & sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
                  & ( ~ aElementOf0(X6,szNzAzT0)
                    | ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
                    | aElementOf0(X6,X5) ) ) ) )
          & ( ~ aSet0(X5)
            | ( ( ~ aElementOf0(esk8_2(X4,X5),X5)
                | ~ aElementOf0(esk8_2(X4,X5),szNzAzT0)
                | ~ sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) )
              & ( aElementOf0(esk8_2(X4,X5),X5)
                | ( aElementOf0(esk8_2(X4,X5),szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) ) ) )
            | equal(X5,slbdtrb0(X4)) ) ) ),
    inference(skolemize,[status(esa)],[219]) ).

fof(221,plain,
    ! [X4,X5,X6] :
      ( ( ( ( ( ~ aElementOf0(X6,X5)
              | ( aElementOf0(X6,szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
            & ( ~ aElementOf0(X6,szNzAzT0)
              | ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
              | aElementOf0(X6,X5) )
            & aSet0(X5) )
          | ~ equal(X5,slbdtrb0(X4)) )
        & ( ~ aSet0(X5)
          | ( ( ~ aElementOf0(esk8_2(X4,X5),X5)
              | ~ aElementOf0(esk8_2(X4,X5),szNzAzT0)
              | ~ sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) )
            & ( aElementOf0(esk8_2(X4,X5),X5)
              | ( aElementOf0(esk8_2(X4,X5),szNzAzT0)
                & sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) ) ) )
          | equal(X5,slbdtrb0(X4)) ) )
      | ~ aElementOf0(X4,szNzAzT0) ),
    inference(shift_quantors,[status(thm)],[220]) ).

fof(222,plain,
    ! [X4,X5,X6] :
      ( ( aElementOf0(X6,szNzAzT0)
        | ~ aElementOf0(X6,X5)
        | ~ equal(X5,slbdtrb0(X4))
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( sdtlseqdt0(szszuzczcdt0(X6),X4)
        | ~ aElementOf0(X6,X5)
        | ~ equal(X5,slbdtrb0(X4))
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aElementOf0(X6,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
        | aElementOf0(X6,X5)
        | ~ equal(X5,slbdtrb0(X4))
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( aSet0(X5)
        | ~ equal(X5,slbdtrb0(X4))
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aElementOf0(esk8_2(X4,X5),X5)
        | ~ aElementOf0(esk8_2(X4,X5),szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4)
        | ~ aSet0(X5)
        | equal(X5,slbdtrb0(X4))
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( aElementOf0(esk8_2(X4,X5),szNzAzT0)
        | aElementOf0(esk8_2(X4,X5),X5)
        | ~ aSet0(X5)
        | equal(X5,slbdtrb0(X4))
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4)
        | aElementOf0(esk8_2(X4,X5),X5)
        | ~ aSet0(X5)
        | equal(X5,slbdtrb0(X4))
        | ~ aElementOf0(X4,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[221]) ).

cnf(226,plain,
    ( aSet0(X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | X2 != slbdtrb0(X1) ),
    inference(split_conjunct,[status(thm)],[222]) ).

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

fof(231,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | ~ aSubsetOf0(xS,slbdtrb0(X2)) ),
    inference(variable_rename,[status(thm)],[230]) ).

cnf(232,negated_conjecture,
    ( ~ aSubsetOf0(xS,slbdtrb0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[231]) ).

fof(236,plain,
    ( equal(xS,slcrc0)
    | aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
    inference(fof_nnf,[status(thm)],[39]) ).

cnf(237,plain,
    ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    | xS = slcrc0 ),
    inference(split_conjunct,[status(thm)],[236]) ).

cnf(253,plain,
    aSet0(szNzAzT0),
    inference(split_conjunct,[status(thm)],[44]) ).

cnf(288,plain,
    isFinite0(xS),
    inference(split_conjunct,[status(thm)],[52]) ).

cnf(289,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(split_conjunct,[status(thm)],[52]) ).

cnf(308,negated_conjecture,
    ( ~ aElementOf0(sz00,szNzAzT0)
    | ~ aSubsetOf0(xS,slcrc0) ),
    inference(spm,[status(thm)],[232,74,theory(equality)]) ).

cnf(309,negated_conjecture,
    ( $false
    | ~ aSubsetOf0(xS,slcrc0) ),
    inference(rw,[status(thm)],[308,200,theory(equality)]) ).

cnf(310,negated_conjecture,
    ~ aSubsetOf0(xS,slcrc0),
    inference(cn,[status(thm)],[309,theory(equality)]) ).

cnf(324,plain,
    ( aSet0(slbdtrb0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[226,theory(equality)]) ).

cnf(398,plain,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xS)
    | ~ aSet0(szNzAzT0) ),
    inference(spm,[status(thm)],[134,289,theory(equality)]) ).

cnf(402,plain,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xS)
    | $false ),
    inference(rw,[status(thm)],[398,253,theory(equality)]) ).

cnf(403,plain,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xS) ),
    inference(cn,[status(thm)],[402,theory(equality)]) ).

cnf(437,plain,
    ( slcrc0 = X1
    | aElementOf0(szmzazxdt0(X1),X1)
    | ~ isFinite0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[211,theory(equality)]) ).

cnf(461,plain,
    ( aSubsetOf0(X1,X2)
    | slcrc0 != X1
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    inference(spm,[status(thm)],[190,132,theory(equality)]) ).

cnf(680,plain,
    ( aSet0(slcrc0)
    | ~ aElementOf0(sz00,szNzAzT0) ),
    inference(spm,[status(thm)],[324,74,theory(equality)]) ).

cnf(681,plain,
    ( aSet0(slcrc0)
    | $false ),
    inference(rw,[status(thm)],[680,200,theory(equality)]) ).

cnf(682,plain,
    aSet0(slcrc0),
    inference(cn,[status(thm)],[681,theory(equality)]) ).

cnf(1089,plain,
    ( aSubsetOf0(X1,X2)
    | slcrc0 != X1
    | ~ aSet0(X2) ),
    inference(csr,[status(thm)],[461,189]) ).

cnf(1090,negated_conjecture,
    ( slcrc0 != xS
    | ~ aSet0(slcrc0) ),
    inference(spm,[status(thm)],[310,1089,theory(equality)]) ).

cnf(1105,negated_conjecture,
    ( slcrc0 != xS
    | $false ),
    inference(rw,[status(thm)],[1090,682,theory(equality)]) ).

cnf(1106,negated_conjecture,
    slcrc0 != xS,
    inference(cn,[status(thm)],[1105,theory(equality)]) ).

cnf(1119,plain,
    aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
    inference(sr,[status(thm)],[237,1106,theory(equality)]) ).

cnf(1179,plain,
    ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
    inference(spm,[status(thm)],[232,1119,theory(equality)]) ).

cnf(1193,plain,
    ~ aElementOf0(szmzazxdt0(xS),szNzAzT0),
    inference(spm,[status(thm)],[1179,79,theory(equality)]) ).

cnf(2861,plain,
    ( aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | slcrc0 = xS
    | ~ isFinite0(xS)
    | ~ aSubsetOf0(xS,szNzAzT0) ),
    inference(spm,[status(thm)],[403,437,theory(equality)]) ).

cnf(2876,plain,
    ( aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | slcrc0 = xS
    | $false
    | ~ aSubsetOf0(xS,szNzAzT0) ),
    inference(rw,[status(thm)],[2861,288,theory(equality)]) ).

cnf(2877,plain,
    ( aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | slcrc0 = xS
    | $false
    | $false ),
    inference(rw,[status(thm)],[2876,289,theory(equality)]) ).

cnf(2878,plain,
    ( aElementOf0(szmzazxdt0(xS),szNzAzT0)
    | slcrc0 = xS ),
    inference(cn,[status(thm)],[2877,theory(equality)]) ).

cnf(2879,plain,
    xS = slcrc0,
    inference(sr,[status(thm)],[2878,1193,theory(equality)]) ).

cnf(2880,plain,
    $false,
    inference(sr,[status(thm)],[2879,1106,theory(equality)]) ).

cnf(2881,plain,
    $false,
    2880,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM545+1 : 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 : n096.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 08:15:15 CST 2018
% 0.03/0.23  % CPUTime  : 
% 0.06/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27  --creating new selector for []
% 0.06/0.41  -running prover on /export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.41  -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/tmpMhiH3q/sel_theBenchmark.p_1']
% 0.06/0.41  -prover status Theorem
% 0.06/0.41  Problem theBenchmark.p solved in phase 0.
% 0.06/0.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.41  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.41  Solved 1 out of 1.
% 0.06/0.41  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.41  # SZS status Theorem
% 0.06/0.41  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.41  # SZS output end CNFRefutation
%------------------------------------------------------------------------------