TSTP Solution File: NUM539+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM539+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 15:21:42 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   59 (  12 unt;   0 def)
%            Number of atoms       :  315 (   7 equ)
%            Maximal formula atoms :   19 (   5 avg)
%            Number of connectives :  388 ( 132   ~; 128   |; 112   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   98 (   1 sgn  64   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(8,axiom,
    ! [X1] :
      ( ( aSubsetOf0(X1,szNzAzT0)
        & ~ equal(X1,slcrc0) )
     => ! [X2] :
          ( equal(X2,szmzizndt0(X1))
        <=> ( aElementOf0(X2,X1)
            & ! [X3] :
                ( aElementOf0(X3,X1)
               => sdtlseqdt0(X2,X3) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpUB2GBp/sel_theBenchmark.p_1',mDefMin) ).

fof(15,axiom,
    ( aSet0(xS)
    & ! [X1] :
        ( aElementOf0(X1,xS)
       => aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & aSet0(xT)
    & ! [X1] :
        ( aElementOf0(X1,xT)
       => aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xT,szNzAzT0)
    & ~ ( ~ ? [X1] : aElementOf0(X1,xS)
        | equal(xS,slcrc0) )
    & ~ ( ~ ? [X1] : aElementOf0(X1,xT)
        | equal(xT,slcrc0) ) ),
    file('/export/starexec/sandbox/tmp/tmpUB2GBp/sel_theBenchmark.p_1',m__1779) ).

fof(27,axiom,
    ! [X1] :
      ( equal(X1,slcrc0)
    <=> ( aSet0(X1)
        & ~ ? [X2] : aElementOf0(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmpUB2GBp/sel_theBenchmark.p_1',mDefEmp) ).

fof(33,conjecture,
    ( ( aElementOf0(szmzizndt0(xS),xS)
      & ! [X1] :
          ( aElementOf0(X1,xS)
         => sdtlseqdt0(szmzizndt0(xS),X1) ) )
   => ( ! [X1] :
          ( aElementOf0(X1,xT)
         => sdtlseqdt0(szmzizndt0(xS),X1) )
      | equal(szmzizndt0(xS),szmzizndt0(xT)) ) ),
    file('/export/starexec/sandbox/tmp/tmpUB2GBp/sel_theBenchmark.p_1',m__) ).

fof(38,axiom,
    ( aElementOf0(szmzizndt0(xS),xS)
    & ! [X1] :
        ( aElementOf0(X1,xS)
       => sdtlseqdt0(szmzizndt0(xS),X1) )
    & aElementOf0(szmzizndt0(xS),xT)
    & aElementOf0(szmzizndt0(xT),xT)
    & ! [X1] :
        ( aElementOf0(X1,xT)
       => sdtlseqdt0(szmzizndt0(xT),X1) )
    & aElementOf0(szmzizndt0(xT),xS) ),
    file('/export/starexec/sandbox/tmp/tmpUB2GBp/sel_theBenchmark.p_1',m__1802) ).

fof(48,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/tmpUB2GBp/sel_theBenchmark.p_1',mLessTrans) ).

fof(52,negated_conjecture,
    ~ ( ( aElementOf0(szmzizndt0(xS),xS)
        & ! [X1] :
            ( aElementOf0(X1,xS)
           => sdtlseqdt0(szmzizndt0(xS),X1) ) )
     => ( ! [X1] :
            ( aElementOf0(X1,xT)
           => sdtlseqdt0(szmzizndt0(xS),X1) )
        | equal(szmzizndt0(xS),szmzizndt0(xT)) ) ),
    inference(assume_negation,[status(cth)],[33]) ).

fof(93,plain,
    ! [X1] :
      ( ~ aSubsetOf0(X1,szNzAzT0)
      | equal(X1,slcrc0)
      | ! [X2] :
          ( ( ~ equal(X2,szmzizndt0(X1))
            | ( aElementOf0(X2,X1)
              & ! [X3] :
                  ( ~ aElementOf0(X3,X1)
                  | sdtlseqdt0(X2,X3) ) ) )
          & ( ~ aElementOf0(X2,X1)
            | ? [X3] :
                ( aElementOf0(X3,X1)
                & ~ sdtlseqdt0(X2,X3) )
            | equal(X2,szmzizndt0(X1)) ) ) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(94,plain,
    ! [X4] :
      ( ~ aSubsetOf0(X4,szNzAzT0)
      | equal(X4,slcrc0)
      | ! [X5] :
          ( ( ~ equal(X5,szmzizndt0(X4))
            | ( aElementOf0(X5,X4)
              & ! [X6] :
                  ( ~ aElementOf0(X6,X4)
                  | sdtlseqdt0(X5,X6) ) ) )
          & ( ~ aElementOf0(X5,X4)
            | ? [X7] :
                ( aElementOf0(X7,X4)
                & ~ sdtlseqdt0(X5,X7) )
            | equal(X5,szmzizndt0(X4)) ) ) ),
    inference(variable_rename,[status(thm)],[93]) ).

fof(95,plain,
    ! [X4] :
      ( ~ aSubsetOf0(X4,szNzAzT0)
      | equal(X4,slcrc0)
      | ! [X5] :
          ( ( ~ equal(X5,szmzizndt0(X4))
            | ( aElementOf0(X5,X4)
              & ! [X6] :
                  ( ~ aElementOf0(X6,X4)
                  | sdtlseqdt0(X5,X6) ) ) )
          & ( ~ aElementOf0(X5,X4)
            | ( aElementOf0(esk3_2(X4,X5),X4)
              & ~ sdtlseqdt0(X5,esk3_2(X4,X5)) )
            | equal(X5,szmzizndt0(X4)) ) ) ),
    inference(skolemize,[status(esa)],[94]) ).

fof(96,plain,
    ! [X4,X5,X6] :
      ( ( ( ( ( ~ aElementOf0(X6,X4)
              | sdtlseqdt0(X5,X6) )
            & aElementOf0(X5,X4) )
          | ~ equal(X5,szmzizndt0(X4)) )
        & ( ~ aElementOf0(X5,X4)
          | ( aElementOf0(esk3_2(X4,X5),X4)
            & ~ sdtlseqdt0(X5,esk3_2(X4,X5)) )
          | equal(X5,szmzizndt0(X4)) ) )
      | ~ aSubsetOf0(X4,szNzAzT0)
      | equal(X4,slcrc0) ),
    inference(shift_quantors,[status(thm)],[95]) ).

fof(97,plain,
    ! [X4,X5,X6] :
      ( ( ~ aElementOf0(X6,X4)
        | sdtlseqdt0(X5,X6)
        | ~ equal(X5,szmzizndt0(X4))
        | ~ aSubsetOf0(X4,szNzAzT0)
        | equal(X4,slcrc0) )
      & ( aElementOf0(X5,X4)
        | ~ equal(X5,szmzizndt0(X4))
        | ~ aSubsetOf0(X4,szNzAzT0)
        | equal(X4,slcrc0) )
      & ( aElementOf0(esk3_2(X4,X5),X4)
        | ~ aElementOf0(X5,X4)
        | equal(X5,szmzizndt0(X4))
        | ~ aSubsetOf0(X4,szNzAzT0)
        | equal(X4,slcrc0) )
      & ( ~ sdtlseqdt0(X5,esk3_2(X4,X5))
        | ~ aElementOf0(X5,X4)
        | equal(X5,szmzizndt0(X4))
        | ~ aSubsetOf0(X4,szNzAzT0)
        | equal(X4,slcrc0) ) ),
    inference(distribute,[status(thm)],[96]) ).

cnf(101,plain,
    ( X1 = slcrc0
    | sdtlseqdt0(X2,X3)
    | ~ aSubsetOf0(X1,szNzAzT0)
    | X2 != szmzizndt0(X1)
    | ~ aElementOf0(X3,X1) ),
    inference(split_conjunct,[status(thm)],[97]) ).

fof(128,plain,
    ( aSet0(xS)
    & ! [X1] :
        ( ~ aElementOf0(X1,xS)
        | aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & aSet0(xT)
    & ! [X1] :
        ( ~ aElementOf0(X1,xT)
        | aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xT,szNzAzT0)
    & ? [X1] : aElementOf0(X1,xS)
    & ~ equal(xS,slcrc0)
    & ? [X1] : aElementOf0(X1,xT)
    & ~ equal(xT,slcrc0) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(129,plain,
    ( aSet0(xS)
    & ! [X2] :
        ( ~ aElementOf0(X2,xS)
        | aElementOf0(X2,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & aSet0(xT)
    & ! [X3] :
        ( ~ aElementOf0(X3,xT)
        | aElementOf0(X3,szNzAzT0) )
    & aSubsetOf0(xT,szNzAzT0)
    & ? [X4] : aElementOf0(X4,xS)
    & ~ equal(xS,slcrc0)
    & ? [X5] : aElementOf0(X5,xT)
    & ~ equal(xT,slcrc0) ),
    inference(variable_rename,[status(thm)],[128]) ).

fof(130,plain,
    ( aSet0(xS)
    & ! [X2] :
        ( ~ aElementOf0(X2,xS)
        | aElementOf0(X2,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & aSet0(xT)
    & ! [X3] :
        ( ~ aElementOf0(X3,xT)
        | aElementOf0(X3,szNzAzT0) )
    & aSubsetOf0(xT,szNzAzT0)
    & aElementOf0(esk5_0,xS)
    & ~ equal(xS,slcrc0)
    & aElementOf0(esk6_0,xT)
    & ~ equal(xT,slcrc0) ),
    inference(skolemize,[status(esa)],[129]) ).

fof(131,plain,
    ! [X2,X3] :
      ( ( ~ aElementOf0(X3,xT)
        | aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X2,xS)
        | aElementOf0(X2,szNzAzT0) )
      & aSet0(xS)
      & aSubsetOf0(xS,szNzAzT0)
      & aSet0(xT)
      & aSubsetOf0(xT,szNzAzT0)
      & aElementOf0(esk5_0,xS)
      & ~ equal(xS,slcrc0)
      & aElementOf0(esk6_0,xT)
      & ~ equal(xT,slcrc0) ),
    inference(shift_quantors,[status(thm)],[130]) ).

cnf(136,plain,
    aSubsetOf0(xT,szNzAzT0),
    inference(split_conjunct,[status(thm)],[131]) ).

cnf(140,plain,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[131]) ).

cnf(141,plain,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xT) ),
    inference(split_conjunct,[status(thm)],[131]) ).

fof(184,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)],[27]) ).

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

fof(186,plain,
    ! [X3] :
      ( ( ~ equal(X3,slcrc0)
        | ( aSet0(X3)
          & ! [X4] : ~ aElementOf0(X4,X3) ) )
      & ( ~ aSet0(X3)
        | aElementOf0(esk8_1(X3),X3)
        | equal(X3,slcrc0) ) ),
    inference(skolemize,[status(esa)],[185]) ).

fof(187,plain,
    ! [X3,X4] :
      ( ( ( ~ aElementOf0(X4,X3)
          & aSet0(X3) )
        | ~ equal(X3,slcrc0) )
      & ( ~ aSet0(X3)
        | aElementOf0(esk8_1(X3),X3)
        | equal(X3,slcrc0) ) ),
    inference(shift_quantors,[status(thm)],[186]) ).

fof(188,plain,
    ! [X3,X4] :
      ( ( ~ aElementOf0(X4,X3)
        | ~ equal(X3,slcrc0) )
      & ( aSet0(X3)
        | ~ equal(X3,slcrc0) )
      & ( ~ aSet0(X3)
        | aElementOf0(esk8_1(X3),X3)
        | equal(X3,slcrc0) ) ),
    inference(distribute,[status(thm)],[187]) ).

cnf(191,plain,
    ( X1 != slcrc0
    | ~ aElementOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[188]) ).

fof(211,negated_conjecture,
    ( aElementOf0(szmzizndt0(xS),xS)
    & ! [X1] :
        ( ~ aElementOf0(X1,xS)
        | sdtlseqdt0(szmzizndt0(xS),X1) )
    & ? [X1] :
        ( aElementOf0(X1,xT)
        & ~ sdtlseqdt0(szmzizndt0(xS),X1) )
    & ~ equal(szmzizndt0(xS),szmzizndt0(xT)) ),
    inference(fof_nnf,[status(thm)],[52]) ).

fof(212,negated_conjecture,
    ( aElementOf0(szmzizndt0(xS),xS)
    & ! [X2] :
        ( ~ aElementOf0(X2,xS)
        | sdtlseqdt0(szmzizndt0(xS),X2) )
    & ? [X3] :
        ( aElementOf0(X3,xT)
        & ~ sdtlseqdt0(szmzizndt0(xS),X3) )
    & ~ equal(szmzizndt0(xS),szmzizndt0(xT)) ),
    inference(variable_rename,[status(thm)],[211]) ).

fof(213,negated_conjecture,
    ( aElementOf0(szmzizndt0(xS),xS)
    & ! [X2] :
        ( ~ aElementOf0(X2,xS)
        | sdtlseqdt0(szmzizndt0(xS),X2) )
    & aElementOf0(esk10_0,xT)
    & ~ sdtlseqdt0(szmzizndt0(xS),esk10_0)
    & ~ equal(szmzizndt0(xS),szmzizndt0(xT)) ),
    inference(skolemize,[status(esa)],[212]) ).

fof(214,negated_conjecture,
    ! [X2] :
      ( ( ~ aElementOf0(X2,xS)
        | sdtlseqdt0(szmzizndt0(xS),X2) )
      & aElementOf0(szmzizndt0(xS),xS)
      & aElementOf0(esk10_0,xT)
      & ~ sdtlseqdt0(szmzizndt0(xS),esk10_0)
      & ~ equal(szmzizndt0(xS),szmzizndt0(xT)) ),
    inference(shift_quantors,[status(thm)],[213]) ).

cnf(216,negated_conjecture,
    ~ sdtlseqdt0(szmzizndt0(xS),esk10_0),
    inference(split_conjunct,[status(thm)],[214]) ).

cnf(217,negated_conjecture,
    aElementOf0(esk10_0,xT),
    inference(split_conjunct,[status(thm)],[214]) ).

cnf(218,negated_conjecture,
    aElementOf0(szmzizndt0(xS),xS),
    inference(split_conjunct,[status(thm)],[214]) ).

cnf(219,negated_conjecture,
    ( sdtlseqdt0(szmzizndt0(xS),X1)
    | ~ aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[214]) ).

fof(232,plain,
    ( aElementOf0(szmzizndt0(xS),xS)
    & ! [X1] :
        ( ~ aElementOf0(X1,xS)
        | sdtlseqdt0(szmzizndt0(xS),X1) )
    & aElementOf0(szmzizndt0(xS),xT)
    & aElementOf0(szmzizndt0(xT),xT)
    & ! [X1] :
        ( ~ aElementOf0(X1,xT)
        | sdtlseqdt0(szmzizndt0(xT),X1) )
    & aElementOf0(szmzizndt0(xT),xS) ),
    inference(fof_nnf,[status(thm)],[38]) ).

fof(233,plain,
    ( aElementOf0(szmzizndt0(xS),xS)
    & ! [X2] :
        ( ~ aElementOf0(X2,xS)
        | sdtlseqdt0(szmzizndt0(xS),X2) )
    & aElementOf0(szmzizndt0(xS),xT)
    & aElementOf0(szmzizndt0(xT),xT)
    & ! [X3] :
        ( ~ aElementOf0(X3,xT)
        | sdtlseqdt0(szmzizndt0(xT),X3) )
    & aElementOf0(szmzizndt0(xT),xS) ),
    inference(variable_rename,[status(thm)],[232]) ).

fof(234,plain,
    ! [X2,X3] :
      ( ( ~ aElementOf0(X3,xT)
        | sdtlseqdt0(szmzizndt0(xT),X3) )
      & ( ~ aElementOf0(X2,xS)
        | sdtlseqdt0(szmzizndt0(xS),X2) )
      & aElementOf0(szmzizndt0(xS),xS)
      & aElementOf0(szmzizndt0(xS),xT)
      & aElementOf0(szmzizndt0(xT),xT)
      & aElementOf0(szmzizndt0(xT),xS) ),
    inference(shift_quantors,[status(thm)],[233]) ).

cnf(235,plain,
    aElementOf0(szmzizndt0(xT),xS),
    inference(split_conjunct,[status(thm)],[234]) ).

fof(283,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)],[48]) ).

fof(284,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)],[283]) ).

cnf(285,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[284]) ).

cnf(307,negated_conjecture,
    aElementOf0(szmzizndt0(xS),szNzAzT0),
    inference(spm,[status(thm)],[140,218,theory(equality)]) ).

cnf(308,plain,
    aElementOf0(szmzizndt0(xT),szNzAzT0),
    inference(spm,[status(thm)],[140,235,theory(equality)]) ).

cnf(310,negated_conjecture,
    aElementOf0(esk10_0,szNzAzT0),
    inference(spm,[status(thm)],[141,217,theory(equality)]) ).

cnf(451,plain,
    ( sdtlseqdt0(X2,X3)
    | szmzizndt0(X1) != X2
    | ~ aElementOf0(X3,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[101,191]) ).

cnf(452,negated_conjecture,
    ( sdtlseqdt0(X1,esk10_0)
    | szmzizndt0(xT) != X1
    | ~ aSubsetOf0(xT,szNzAzT0) ),
    inference(spm,[status(thm)],[451,217,theory(equality)]) ).

cnf(465,negated_conjecture,
    ( sdtlseqdt0(X1,esk10_0)
    | szmzizndt0(xT) != X1
    | $false ),
    inference(rw,[status(thm)],[452,136,theory(equality)]) ).

cnf(466,negated_conjecture,
    ( sdtlseqdt0(X1,esk10_0)
    | szmzizndt0(xT) != X1 ),
    inference(cn,[status(thm)],[465,theory(equality)]) ).

cnf(724,negated_conjecture,
    sdtlseqdt0(szmzizndt0(xT),esk10_0),
    inference(er,[status(thm)],[466,theory(equality)]) ).

cnf(727,negated_conjecture,
    ( sdtlseqdt0(X1,esk10_0)
    | ~ sdtlseqdt0(X1,szmzizndt0(xT))
    | ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
    | ~ aElementOf0(esk10_0,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[285,724,theory(equality)]) ).

cnf(731,negated_conjecture,
    ( sdtlseqdt0(X1,esk10_0)
    | ~ sdtlseqdt0(X1,szmzizndt0(xT))
    | $false
    | ~ aElementOf0(esk10_0,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(rw,[status(thm)],[727,308,theory(equality)]) ).

cnf(732,negated_conjecture,
    ( sdtlseqdt0(X1,esk10_0)
    | ~ sdtlseqdt0(X1,szmzizndt0(xT))
    | $false
    | $false
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(rw,[status(thm)],[731,310,theory(equality)]) ).

cnf(733,negated_conjecture,
    ( sdtlseqdt0(X1,esk10_0)
    | ~ sdtlseqdt0(X1,szmzizndt0(xT))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[732,theory(equality)]) ).

cnf(768,negated_conjecture,
    ( sdtlseqdt0(szmzizndt0(xS),esk10_0)
    | ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
    | ~ aElementOf0(szmzizndt0(xT),xS) ),
    inference(spm,[status(thm)],[733,219,theory(equality)]) ).

cnf(776,negated_conjecture,
    ( sdtlseqdt0(szmzizndt0(xS),esk10_0)
    | $false
    | ~ aElementOf0(szmzizndt0(xT),xS) ),
    inference(rw,[status(thm)],[768,307,theory(equality)]) ).

cnf(777,negated_conjecture,
    ( sdtlseqdt0(szmzizndt0(xS),esk10_0)
    | $false
    | $false ),
    inference(rw,[status(thm)],[776,235,theory(equality)]) ).

cnf(778,negated_conjecture,
    sdtlseqdt0(szmzizndt0(xS),esk10_0),
    inference(cn,[status(thm)],[777,theory(equality)]) ).

cnf(779,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[778,216,theory(equality)]) ).

cnf(780,negated_conjecture,
    $false,
    779,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM539+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 08:29:44 CST 2018
% 0.02/0.24  % CPUTime  : 
% 0.06/0.28  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.28  --creating new selector for []
% 0.06/0.36  -running prover on /export/starexec/sandbox/tmp/tmpUB2GBp/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.36  -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/tmpUB2GBp/sel_theBenchmark.p_1']
% 0.06/0.36  -prover status Theorem
% 0.06/0.36  Problem theBenchmark.p solved in phase 0.
% 0.06/0.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.36  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.36  Solved 1 out of 1.
% 0.06/0.36  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.36  # SZS status Theorem
% 0.06/0.36  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.37  # SZS output end CNFRefutation
%------------------------------------------------------------------------------