TSTP Solution File: NUM560+2 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM560+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n121.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 15:21:47 EST 2018

% Result   : Theorem 0.07s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :   11 (   5 avg)
%            Number of connectives :   89 (  30   ~;  19   |;  34   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(65,conjecture,
    ( ( aSet0(sdtlbdtrb0(xF,xy))
      & ! [X1] :
          ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
        <=> ( aElementOf0(X1,szDzozmdt0(xF))
            & equal(sdtlpdtrp0(xF,X1),xy) ) ) )
   => ( ! [X1] :
          ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
         => aElementOf0(X1,szDzozmdt0(xF)) )
      | aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
    file('/export/starexec/sandbox2/tmp/tmpk9FE7d/sel_theBenchmark.p_1',m__) ).

fof(69,negated_conjecture,
    ~ ( ( aSet0(sdtlbdtrb0(xF,xy))
        & ! [X1] :
            ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
          <=> ( aElementOf0(X1,szDzozmdt0(xF))
              & equal(sdtlpdtrp0(xF,X1),xy) ) ) )
     => ( ! [X1] :
            ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
           => aElementOf0(X1,szDzozmdt0(xF)) )
        | aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
    inference(assume_negation,[status(cth)],[65]) ).

fof(370,negated_conjecture,
    ( aSet0(sdtlbdtrb0(xF,xy))
    & ! [X1] :
        ( ( ~ aElementOf0(X1,sdtlbdtrb0(xF,xy))
          | ( aElementOf0(X1,szDzozmdt0(xF))
            & equal(sdtlpdtrp0(xF,X1),xy) ) )
        & ( ~ aElementOf0(X1,szDzozmdt0(xF))
          | ~ equal(sdtlpdtrp0(xF,X1),xy)
          | aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
    & ? [X1] :
        ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
        & ~ aElementOf0(X1,szDzozmdt0(xF)) )
    & ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
    inference(fof_nnf,[status(thm)],[69]) ).

fof(371,negated_conjecture,
    ( aSet0(sdtlbdtrb0(xF,xy))
    & ! [X2] :
        ( ( ~ aElementOf0(X2,sdtlbdtrb0(xF,xy))
          | ( aElementOf0(X2,szDzozmdt0(xF))
            & equal(sdtlpdtrp0(xF,X2),xy) ) )
        & ( ~ aElementOf0(X2,szDzozmdt0(xF))
          | ~ equal(sdtlpdtrp0(xF,X2),xy)
          | aElementOf0(X2,sdtlbdtrb0(xF,xy)) ) )
    & ? [X3] :
        ( aElementOf0(X3,sdtlbdtrb0(xF,xy))
        & ~ aElementOf0(X3,szDzozmdt0(xF)) )
    & ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
    inference(variable_rename,[status(thm)],[370]) ).

fof(372,negated_conjecture,
    ( aSet0(sdtlbdtrb0(xF,xy))
    & ! [X2] :
        ( ( ~ aElementOf0(X2,sdtlbdtrb0(xF,xy))
          | ( aElementOf0(X2,szDzozmdt0(xF))
            & equal(sdtlpdtrp0(xF,X2),xy) ) )
        & ( ~ aElementOf0(X2,szDzozmdt0(xF))
          | ~ equal(sdtlpdtrp0(xF,X2),xy)
          | aElementOf0(X2,sdtlbdtrb0(xF,xy)) ) )
    & aElementOf0(esk14_0,sdtlbdtrb0(xF,xy))
    & ~ aElementOf0(esk14_0,szDzozmdt0(xF))
    & ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
    inference(skolemize,[status(esa)],[371]) ).

fof(373,negated_conjecture,
    ! [X2] :
      ( ( ~ aElementOf0(X2,sdtlbdtrb0(xF,xy))
        | ( aElementOf0(X2,szDzozmdt0(xF))
          & equal(sdtlpdtrp0(xF,X2),xy) ) )
      & ( ~ aElementOf0(X2,szDzozmdt0(xF))
        | ~ equal(sdtlpdtrp0(xF,X2),xy)
        | aElementOf0(X2,sdtlbdtrb0(xF,xy)) )
      & aSet0(sdtlbdtrb0(xF,xy))
      & aElementOf0(esk14_0,sdtlbdtrb0(xF,xy))
      & ~ aElementOf0(esk14_0,szDzozmdt0(xF))
      & ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
    inference(shift_quantors,[status(thm)],[372]) ).

fof(374,negated_conjecture,
    ! [X2] :
      ( ( aElementOf0(X2,szDzozmdt0(xF))
        | ~ aElementOf0(X2,sdtlbdtrb0(xF,xy)) )
      & ( equal(sdtlpdtrp0(xF,X2),xy)
        | ~ aElementOf0(X2,sdtlbdtrb0(xF,xy)) )
      & ( ~ aElementOf0(X2,szDzozmdt0(xF))
        | ~ equal(sdtlpdtrp0(xF,X2),xy)
        | aElementOf0(X2,sdtlbdtrb0(xF,xy)) )
      & aSet0(sdtlbdtrb0(xF,xy))
      & aElementOf0(esk14_0,sdtlbdtrb0(xF,xy))
      & ~ aElementOf0(esk14_0,szDzozmdt0(xF))
      & ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
    inference(distribute,[status(thm)],[373]) ).

cnf(376,negated_conjecture,
    ~ aElementOf0(esk14_0,szDzozmdt0(xF)),
    inference(split_conjunct,[status(thm)],[374]) ).

cnf(377,negated_conjecture,
    aElementOf0(esk14_0,sdtlbdtrb0(xF,xy)),
    inference(split_conjunct,[status(thm)],[374]) ).

cnf(381,negated_conjecture,
    ( aElementOf0(X1,szDzozmdt0(xF))
    | ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ),
    inference(split_conjunct,[status(thm)],[374]) ).

cnf(395,negated_conjecture,
    ~ aElementOf0(esk14_0,sdtlbdtrb0(xF,xy)),
    inference(spm,[status(thm)],[376,381,theory(equality)]) ).

cnf(396,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[395,377,theory(equality)]) ).

cnf(397,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[396,theory(equality)]) ).

cnf(398,negated_conjecture,
    $false,
    397,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM560+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 : n121.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 08:53:15 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.02/0.28  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28  --creating new selector for []
% 0.07/0.36  -running prover on /export/starexec/sandbox2/tmp/tmpk9FE7d/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.36  -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/tmpk9FE7d/sel_theBenchmark.p_1']
% 0.07/0.36  -prover status Theorem
% 0.07/0.36  Problem theBenchmark.p solved in phase 0.
% 0.07/0.36  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.36  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.36  Solved 1 out of 1.
% 0.07/0.36  # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.36  # SZS status Theorem
% 0.07/0.36  # SZS output start CNFRefutation.
% See solution above
% 0.07/0.36  # SZS output end CNFRefutation
%------------------------------------------------------------------------------