TSTP Solution File: NUM587+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM587+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n084.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 0.05s
% Output   : CNFRefutation 0.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   87 (   1 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  102 (  40   ~;  39   |;  20   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn  18   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp0hmC1j/sel_theBenchmark.p_1',mDefSub) ).

fof(15,conjecture,
    aElementOf0(xx,xT),
    file('/export/starexec/sandbox/tmp/tmp0hmC1j/sel_theBenchmark.p_1',m__) ).

fof(36,axiom,
    ( aSet0(xT)
    & isFinite0(xT) ),
    file('/export/starexec/sandbox/tmp/tmp0hmC1j/sel_theBenchmark.p_1',m__3291) ).

fof(84,axiom,
    ( equal(xx,sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))))
    & aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    file('/export/starexec/sandbox/tmp/tmp0hmC1j/sel_theBenchmark.p_1',m__4263) ).

fof(85,axiom,
    ( aFunction0(xc)
    & equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
    & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
    file('/export/starexec/sandbox/tmp/tmp0hmC1j/sel_theBenchmark.p_1',m__3453) ).

fof(92,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(assume_negation,[status(cth)],[15]) ).

fof(94,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(fof_simplification,[status(thm)],[92,theory(equality)]) ).

fof(132,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)],[7]) ).

fof(133,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)],[132]) ).

fof(134,plain,
    ! [X4] :
      ( ~ aSet0(X4)
      | ! [X5] :
          ( ( ~ aSubsetOf0(X5,X4)
            | ( aSet0(X5)
              & ! [X6] :
                  ( ~ aElementOf0(X6,X5)
                  | aElementOf0(X6,X4) ) ) )
          & ( ~ aSet0(X5)
            | ( aElementOf0(esk2_2(X4,X5),X5)
              & ~ aElementOf0(esk2_2(X4,X5),X4) )
            | aSubsetOf0(X5,X4) ) ) ),
    inference(skolemize,[status(esa)],[133]) ).

fof(135,plain,
    ! [X4,X5,X6] :
      ( ( ( ( ( ~ aElementOf0(X6,X5)
              | aElementOf0(X6,X4) )
            & aSet0(X5) )
          | ~ aSubsetOf0(X5,X4) )
        & ( ~ aSet0(X5)
          | ( aElementOf0(esk2_2(X4,X5),X5)
            & ~ aElementOf0(esk2_2(X4,X5),X4) )
          | aSubsetOf0(X5,X4) ) )
      | ~ aSet0(X4) ),
    inference(shift_quantors,[status(thm)],[134]) ).

fof(136,plain,
    ! [X4,X5,X6] :
      ( ( ~ aElementOf0(X6,X5)
        | aElementOf0(X6,X4)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( aSet0(X5)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( aElementOf0(esk2_2(X4,X5),X5)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(esk2_2(X4,X5),X4)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) ) ),
    inference(distribute,[status(thm)],[135]) ).

cnf(140,plain,
    ( aElementOf0(X3,X1)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X2,X1)
    | ~ aElementOf0(X3,X2) ),
    inference(split_conjunct,[status(thm)],[136]) ).

cnf(171,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(split_conjunct,[status(thm)],[94]) ).

cnf(262,plain,
    aSet0(xT),
    inference(split_conjunct,[status(thm)],[36]) ).

cnf(475,plain,
    aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))),
    inference(split_conjunct,[status(thm)],[84]) ).

cnf(476,plain,
    xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
    inference(split_conjunct,[status(thm)],[84]) ).

cnf(477,plain,
    aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
    inference(split_conjunct,[status(thm)],[85]) ).

cnf(624,plain,
    ( aElementOf0(X1,xT)
    | ~ aSet0(xT)
    | ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    inference(spm,[status(thm)],[140,477,theory(equality)]) ).

cnf(629,plain,
    ( aElementOf0(X1,xT)
    | $false
    | ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    inference(rw,[status(thm)],[624,262,theory(equality)]) ).

cnf(630,plain,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    inference(cn,[status(thm)],[629,theory(equality)]) ).

cnf(932,plain,
    aElementOf0(xx,sdtlcdtrc0(xc,szDzozmdt0(xc))),
    inference(rw,[status(thm)],[475,476,theory(equality)]) ).

cnf(2031,plain,
    aElementOf0(xx,xT),
    inference(spm,[status(thm)],[630,932,theory(equality)]) ).

cnf(2042,plain,
    $false,
    inference(sr,[status(thm)],[2031,171,theory(equality)]) ).

cnf(2043,plain,
    $false,
    2042,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM587+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.22  % Computer : n084.star.cs.uiowa.edu
% 0.03/0.22  % Model    : x86_64 x86_64
% 0.03/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22  % Memory   : 32218.625MB
% 0.03/0.22  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.22  % CPULimit : 300
% 0.03/0.22  % DateTime : Fri Jan  5 09:48:44 CST 2018
% 0.03/0.22  % CPUTime  : 
% 0.05/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.27  --creating new selector for []
% 0.05/0.40  -running prover on /export/starexec/sandbox/tmp/tmp0hmC1j/sel_theBenchmark.p_1 with time limit 29
% 0.05/0.40  -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/tmp0hmC1j/sel_theBenchmark.p_1']
% 0.05/0.40  -prover status Theorem
% 0.05/0.40  Problem theBenchmark.p solved in phase 0.
% 0.05/0.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.40  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.40  Solved 1 out of 1.
% 0.05/0.40  # Problem is unsatisfiable (or provable), constructing proof object
% 0.05/0.40  # SZS status Theorem
% 0.05/0.40  # SZS output start CNFRefutation.
% See solution above
% 0.05/0.40  # SZS output end CNFRefutation
%------------------------------------------------------------------------------