TSTP Solution File: NUM588+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM588+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n124.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 15:21:54 EST 2018

% Result   : Theorem 2.62s
% Output   : CNFRefutation 2.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :  278 (   0 equ)
%            Maximal formula atoms :   44 (  18 avg)
%            Number of connectives :  350 (  87   ~;  70   |; 169   &)
%                                         (   4 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (  13 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   60 (   0 sgn  50   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(15,conjecture,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ! [X2] :
          ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
            & ! [X3] :
                ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ! [X3] :
                ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              <=> ( aElement0(X3)
                  & aElementOf0(X3,sdtlpdtrp0(xN,X1))
                  & ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
            & aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
            & aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & isCountable0(X2) )
         => ! [X3] :
              ( ( aSet0(X3)
                & ! [X4] :
                    ( aElementOf0(X4,X3)
                   => aElementOf0(X4,X2) )
                & aSubsetOf0(X3,X2)
                & equal(sbrdtbr0(X3),xk)
                & aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
             => ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
                  & ! [X4] :
                      ( aElementOf0(X4,sdtlpdtrp0(xN,X1))
                     => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X4) ) )
               => ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                    & ! [X4] :
                        ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                      <=> ( aElement0(X4)
                          & aElementOf0(X4,sdtlpdtrp0(xN,X1))
                          & ~ equal(X4,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
                 => ( ! [X4] :
                        ( aElementOf0(X4,X3)
                       => aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                    | aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                    | aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmpucOzeo/sel_theBenchmark.p_1',m__) ).

fof(89,negated_conjecture,
    ~ ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ! [X2] :
            ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
              & ! [X3] :
                  ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
                 => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
              & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              & ! [X3] :
                  ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                <=> ( aElement0(X3)
                    & aElementOf0(X3,sdtlpdtrp0(xN,X1))
                    & ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
              & aSet0(X2)
              & ! [X3] :
                  ( aElementOf0(X3,X2)
                 => aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
              & aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              & isCountable0(X2) )
           => ! [X3] :
                ( ( aSet0(X3)
                  & ! [X4] :
                      ( aElementOf0(X4,X3)
                     => aElementOf0(X4,X2) )
                  & aSubsetOf0(X3,X2)
                  & equal(sbrdtbr0(X3),xk)
                  & aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
               => ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
                    & ! [X4] :
                        ( aElementOf0(X4,sdtlpdtrp0(xN,X1))
                       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X4) ) )
                 => ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                      & ! [X4] :
                          ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                        <=> ( aElement0(X4)
                            & aElementOf0(X4,sdtlpdtrp0(xN,X1))
                            & ~ equal(X4,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
                   => ( ! [X4] :
                          ( aElementOf0(X4,X3)
                         => aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
                      | aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                      | aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[15]) ).

fof(178,negated_conjecture,
    ? [X1] :
      ( aElementOf0(X1,szNzAzT0)
      & ? [X2] :
          ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
          & ! [X3] :
              ( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
              | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
          & ! [X3] :
              ( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                | ( aElement0(X3)
                  & aElementOf0(X3,sdtlpdtrp0(xN,X1))
                  & ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
              & ( ~ aElement0(X3)
                | ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
                | equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1)))
                | aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
          & aSet0(X2)
          & ! [X3] :
              ( ~ aElementOf0(X3,X2)
              | aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
          & aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
          & isCountable0(X2)
          & ? [X3] :
              ( aSet0(X3)
              & ! [X4] :
                  ( ~ aElementOf0(X4,X3)
                  | aElementOf0(X4,X2) )
              & aSubsetOf0(X3,X2)
              & equal(sbrdtbr0(X3),xk)
              & aElementOf0(X3,slbdtsldtrb0(X2,xk))
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
              & ! [X4] :
                  ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X1))
                  | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X4) )
              & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              & ! [X4] :
                  ( ( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
                    | ( aElement0(X4)
                      & aElementOf0(X4,sdtlpdtrp0(xN,X1))
                      & ~ equal(X4,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
                  & ( ~ aElement0(X4)
                    | ~ aElementOf0(X4,sdtlpdtrp0(xN,X1))
                    | equal(X4,szmzizndt0(sdtlpdtrp0(xN,X1)))
                    | aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
              & ? [X4] :
                  ( aElementOf0(X4,X3)
                  & ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
              & ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              & ~ aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ),
    inference(fof_nnf,[status(thm)],[89]) ).

fof(179,negated_conjecture,
    ? [X5] :
      ( aElementOf0(X5,szNzAzT0)
      & ? [X6] :
          ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X5))
          & ! [X7] :
              ( ~ aElementOf0(X7,sdtlpdtrp0(xN,X5))
              | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X5)),X7) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5))))
          & ! [X8] :
              ( ( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5))))
                | ( aElement0(X8)
                  & aElementOf0(X8,sdtlpdtrp0(xN,X5))
                  & ~ equal(X8,szmzizndt0(sdtlpdtrp0(xN,X5))) ) )
              & ( ~ aElement0(X8)
                | ~ aElementOf0(X8,sdtlpdtrp0(xN,X5))
                | equal(X8,szmzizndt0(sdtlpdtrp0(xN,X5)))
                | aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5)))) ) )
          & aSet0(X6)
          & ! [X9] :
              ( ~ aElementOf0(X9,X6)
              | aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5)))) )
          & aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5))))
          & isCountable0(X6)
          & ? [X10] :
              ( aSet0(X10)
              & ! [X11] :
                  ( ~ aElementOf0(X11,X10)
                  | aElementOf0(X11,X6) )
              & aSubsetOf0(X10,X6)
              & equal(sbrdtbr0(X10),xk)
              & aElementOf0(X10,slbdtsldtrb0(X6,xk))
              & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X5)),sdtlpdtrp0(xN,X5))
              & ! [X12] :
                  ( ~ aElementOf0(X12,sdtlpdtrp0(xN,X5))
                  | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X5)),X12) )
              & aSet0(sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5))))
              & ! [X13] :
                  ( ( ~ aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5))))
                    | ( aElement0(X13)
                      & aElementOf0(X13,sdtlpdtrp0(xN,X5))
                      & ~ equal(X13,szmzizndt0(sdtlpdtrp0(xN,X5))) ) )
                  & ( ~ aElement0(X13)
                    | ~ aElementOf0(X13,sdtlpdtrp0(xN,X5))
                    | equal(X13,szmzizndt0(sdtlpdtrp0(xN,X5)))
                    | aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5)))) ) )
              & ? [X14] :
                  ( aElementOf0(X14,X10)
                  & ~ aElementOf0(X14,sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5)))) )
              & ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5))))
              & ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X5),szmzizndt0(sdtlpdtrp0(xN,X5))),xk)) ) ) ),
    inference(variable_rename,[status(thm)],[178]) ).

fof(180,negated_conjecture,
    ( aElementOf0(esk6_0,szNzAzT0)
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),sdtlpdtrp0(xN,esk6_0))
    & ! [X7] :
        ( ~ aElementOf0(X7,sdtlpdtrp0(xN,esk6_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),X7) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
    & ! [X8] :
        ( ( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
          | ( aElement0(X8)
            & aElementOf0(X8,sdtlpdtrp0(xN,esk6_0))
            & ~ equal(X8,szmzizndt0(sdtlpdtrp0(xN,esk6_0))) ) )
        & ( ~ aElement0(X8)
          | ~ aElementOf0(X8,sdtlpdtrp0(xN,esk6_0))
          | equal(X8,szmzizndt0(sdtlpdtrp0(xN,esk6_0)))
          | aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) ) )
    & aSet0(esk7_0)
    & ! [X9] :
        ( ~ aElementOf0(X9,esk7_0)
        | aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
    & aSubsetOf0(esk7_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
    & isCountable0(esk7_0)
    & aSet0(esk8_0)
    & ! [X11] :
        ( ~ aElementOf0(X11,esk8_0)
        | aElementOf0(X11,esk7_0) )
    & aSubsetOf0(esk8_0,esk7_0)
    & equal(sbrdtbr0(esk8_0),xk)
    & aElementOf0(esk8_0,slbdtsldtrb0(esk7_0,xk))
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),sdtlpdtrp0(xN,esk6_0))
    & ! [X12] :
        ( ~ aElementOf0(X12,sdtlpdtrp0(xN,esk6_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),X12) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
    & ! [X13] :
        ( ( ~ aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
          | ( aElement0(X13)
            & aElementOf0(X13,sdtlpdtrp0(xN,esk6_0))
            & ~ equal(X13,szmzizndt0(sdtlpdtrp0(xN,esk6_0))) ) )
        & ( ~ aElement0(X13)
          | ~ aElementOf0(X13,sdtlpdtrp0(xN,esk6_0))
          | equal(X13,szmzizndt0(sdtlpdtrp0(xN,esk6_0)))
          | aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) ) )
    & aElementOf0(esk9_0,esk8_0)
    & ~ aElementOf0(esk9_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
    & ~ aSubsetOf0(esk8_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
    & ~ aElementOf0(esk8_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),xk)) ),
    inference(skolemize,[status(esa)],[179]) ).

fof(181,negated_conjecture,
    ! [X7,X8,X9,X11,X12,X13] :
      ( ( ~ aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
        | ( aElement0(X13)
          & aElementOf0(X13,sdtlpdtrp0(xN,esk6_0))
          & ~ equal(X13,szmzizndt0(sdtlpdtrp0(xN,esk6_0))) ) )
      & ( ~ aElement0(X13)
        | ~ aElementOf0(X13,sdtlpdtrp0(xN,esk6_0))
        | equal(X13,szmzizndt0(sdtlpdtrp0(xN,esk6_0)))
        | aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
      & aElementOf0(esk9_0,esk8_0)
      & ~ aElementOf0(esk9_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
      & ~ aSubsetOf0(esk8_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
      & ~ aElementOf0(esk8_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),xk))
      & ( ~ aElementOf0(X12,sdtlpdtrp0(xN,esk6_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),X12) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),sdtlpdtrp0(xN,esk6_0))
      & ( ~ aElementOf0(X11,esk8_0)
        | aElementOf0(X11,esk7_0) )
      & aSet0(esk8_0)
      & aSubsetOf0(esk8_0,esk7_0)
      & equal(sbrdtbr0(esk8_0),xk)
      & aElementOf0(esk8_0,slbdtsldtrb0(esk7_0,xk))
      & ( ~ aElementOf0(X9,esk7_0)
        | aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & ( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
        | ( aElement0(X8)
          & aElementOf0(X8,sdtlpdtrp0(xN,esk6_0))
          & ~ equal(X8,szmzizndt0(sdtlpdtrp0(xN,esk6_0))) ) )
      & ( ~ aElement0(X8)
        | ~ aElementOf0(X8,sdtlpdtrp0(xN,esk6_0))
        | equal(X8,szmzizndt0(sdtlpdtrp0(xN,esk6_0)))
        | aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & ( ~ aElementOf0(X7,sdtlpdtrp0(xN,esk6_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),X7) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),sdtlpdtrp0(xN,esk6_0))
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
      & aSet0(esk7_0)
      & aSubsetOf0(esk7_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
      & isCountable0(esk7_0)
      & aElementOf0(esk6_0,szNzAzT0) ),
    inference(shift_quantors,[status(thm)],[180]) ).

fof(182,negated_conjecture,
    ! [X7,X8,X9,X11,X12,X13] :
      ( ( aElement0(X13)
        | ~ aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & ( aElementOf0(X13,sdtlpdtrp0(xN,esk6_0))
        | ~ aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & ( ~ equal(X13,szmzizndt0(sdtlpdtrp0(xN,esk6_0)))
        | ~ aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & ( ~ aElement0(X13)
        | ~ aElementOf0(X13,sdtlpdtrp0(xN,esk6_0))
        | equal(X13,szmzizndt0(sdtlpdtrp0(xN,esk6_0)))
        | aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
      & aElementOf0(esk9_0,esk8_0)
      & ~ aElementOf0(esk9_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
      & ~ aSubsetOf0(esk8_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
      & ~ aElementOf0(esk8_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),xk))
      & ( ~ aElementOf0(X12,sdtlpdtrp0(xN,esk6_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),X12) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),sdtlpdtrp0(xN,esk6_0))
      & ( ~ aElementOf0(X11,esk8_0)
        | aElementOf0(X11,esk7_0) )
      & aSet0(esk8_0)
      & aSubsetOf0(esk8_0,esk7_0)
      & equal(sbrdtbr0(esk8_0),xk)
      & aElementOf0(esk8_0,slbdtsldtrb0(esk7_0,xk))
      & ( ~ aElementOf0(X9,esk7_0)
        | aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & ( aElement0(X8)
        | ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & ( aElementOf0(X8,sdtlpdtrp0(xN,esk6_0))
        | ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & ( ~ equal(X8,szmzizndt0(sdtlpdtrp0(xN,esk6_0)))
        | ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & ( ~ aElement0(X8)
        | ~ aElementOf0(X8,sdtlpdtrp0(xN,esk6_0))
        | equal(X8,szmzizndt0(sdtlpdtrp0(xN,esk6_0)))
        | aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) )
      & ( ~ aElementOf0(X7,sdtlpdtrp0(xN,esk6_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),X7) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk6_0)),sdtlpdtrp0(xN,esk6_0))
      & aSet0(sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
      & aSet0(esk7_0)
      & aSubsetOf0(esk7_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
      & isCountable0(esk7_0)
      & aElementOf0(esk6_0,szNzAzT0) ),
    inference(distribute,[status(thm)],[181]) ).

cnf(194,negated_conjecture,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))))
    | ~ aElementOf0(X1,esk7_0) ),
    inference(split_conjunct,[status(thm)],[182]) ).

cnf(199,negated_conjecture,
    ( aElementOf0(X1,esk7_0)
    | ~ aElementOf0(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[182]) ).

cnf(204,negated_conjecture,
    ~ aElementOf0(esk9_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))),
    inference(split_conjunct,[status(thm)],[182]) ).

cnf(205,negated_conjecture,
    aElementOf0(esk9_0,esk8_0),
    inference(split_conjunct,[status(thm)],[182]) ).

cnf(4801,negated_conjecture,
    aElementOf0(esk9_0,esk7_0),
    inference(spm,[status(thm)],[199,205,theory(equality)]) ).

cnf(18020,negated_conjecture,
    aElementOf0(esk9_0,sdtmndt0(sdtlpdtrp0(xN,esk6_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))),
    inference(spm,[status(thm)],[194,4801,theory(equality)]) ).

cnf(18027,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[18020,204,theory(equality)]) ).

cnf(18028,negated_conjecture,
    $false,
    18027,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM588+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.05  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.24  % Computer : n124.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 09:52:45 CST 2018
% 0.02/0.24  % CPUTime  : 
% 0.07/0.28  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28  --creating new selector for []
% 2.62/2.88  -running prover on /export/starexec/sandbox2/tmp/tmpucOzeo/sel_theBenchmark.p_1 with time limit 29
% 2.62/2.88  -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/tmpucOzeo/sel_theBenchmark.p_1']
% 2.62/2.88  -prover status Theorem
% 2.62/2.88  Problem theBenchmark.p solved in phase 0.
% 2.62/2.88  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/2.88  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/2.88  Solved 1 out of 1.
% 2.62/2.88  # Problem is unsatisfiable (or provable), constructing proof object
% 2.62/2.88  # SZS status Theorem
% 2.62/2.88  # SZS output start CNFRefutation.
% See solution above
% 2.69/2.89  # SZS output end CNFRefutation
%------------------------------------------------------------------------------