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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM594+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n040.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 15:21:55 EST 2018

% Result   : Theorem 0.41s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   98 (   3 equ)
%            Maximal formula atoms :   21 (   4 avg)
%            Number of connectives :  122 (  46   ~;  36   |;  37   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn  15   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(17,conjecture,
    ? [X1] :
      ( aElementOf0(X1,szNzAzT0)
      & equal(sdtlpdtrp0(xd,X1),xx) ),
    file('/export/starexec/sandbox/tmp/tmp19fC3x/sel_theBenchmark.p_1',m__) ).

fof(51,axiom,
    ( aFunction0(xd)
    & equal(szDzozmdt0(xd),szNzAzT0)
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ! [X2] :
            ( ( aSet0(X2)
              & ( ( ( ! [X3] :
                        ( aElementOf0(X3,X2)
                       => aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
                    | aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
                  & equal(sbrdtbr0(X2),xk) )
                | aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
           => equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp19fC3x/sel_theBenchmark.p_1',m__4730) ).

fof(88,axiom,
    ( ? [X1] :
        ( aElementOf0(X1,szDzozmdt0(xd))
        & equal(sdtlpdtrp0(xd,X1),xx) )
    & aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    file('/export/starexec/sandbox/tmp/tmp19fC3x/sel_theBenchmark.p_1',m__4781) ).

fof(96,negated_conjecture,
    ~ ? [X1] :
        ( aElementOf0(X1,szNzAzT0)
        & equal(sdtlpdtrp0(xd,X1),xx) ),
    inference(assume_negation,[status(cth)],[17]) ).

fof(201,negated_conjecture,
    ! [X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ equal(sdtlpdtrp0(xd,X1),xx) ),
    inference(fof_nnf,[status(thm)],[96]) ).

fof(202,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | ~ equal(sdtlpdtrp0(xd,X2),xx) ),
    inference(variable_rename,[status(thm)],[201]) ).

cnf(203,negated_conjecture,
    ( sdtlpdtrp0(xd,X1) != xx
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[202]) ).

fof(381,plain,
    ( aFunction0(xd)
    & equal(szDzozmdt0(xd),szNzAzT0)
    & ! [X1] :
        ( ~ aElementOf0(X1,szNzAzT0)
        | ! [X2] :
            ( ~ aSet0(X2)
            | ( ( ( ? [X3] :
                      ( aElementOf0(X3,X2)
                      & ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
                  & ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
                | ~ equal(sbrdtbr0(X2),xk) )
              & ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
            | equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
    inference(fof_nnf,[status(thm)],[51]) ).

fof(382,plain,
    ( aFunction0(xd)
    & equal(szDzozmdt0(xd),szNzAzT0)
    & ! [X4] :
        ( ~ aElementOf0(X4,szNzAzT0)
        | ! [X5] :
            ( ~ aSet0(X5)
            | ( ( ( ? [X6] :
                      ( aElementOf0(X6,X5)
                      & ~ aElementOf0(X6,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
                  & ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
                | ~ equal(sbrdtbr0(X5),xk) )
              & ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
            | equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)) ) ) ),
    inference(variable_rename,[status(thm)],[381]) ).

fof(383,plain,
    ( aFunction0(xd)
    & equal(szDzozmdt0(xd),szNzAzT0)
    & ! [X4] :
        ( ~ aElementOf0(X4,szNzAzT0)
        | ! [X5] :
            ( ~ aSet0(X5)
            | ( ( ( aElementOf0(esk18_2(X4,X5),X5)
                  & ~ aElementOf0(esk18_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
                  & ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
                | ~ equal(sbrdtbr0(X5),xk) )
              & ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
            | equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)) ) ) ),
    inference(skolemize,[status(esa)],[382]) ).

fof(384,plain,
    ! [X4,X5] :
      ( ( ~ aSet0(X5)
        | ( ( ( aElementOf0(esk18_2(X4,X5),X5)
              & ~ aElementOf0(esk18_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
              & ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
            | ~ equal(sbrdtbr0(X5),xk) )
          & ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
        | equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
        | ~ aElementOf0(X4,szNzAzT0) )
      & aFunction0(xd)
      & equal(szDzozmdt0(xd),szNzAzT0) ),
    inference(shift_quantors,[status(thm)],[383]) ).

fof(385,plain,
    ! [X4,X5] :
      ( ( aElementOf0(esk18_2(X4,X5),X5)
        | ~ equal(sbrdtbr0(X5),xk)
        | ~ aSet0(X5)
        | equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aElementOf0(esk18_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
        | ~ equal(sbrdtbr0(X5),xk)
        | ~ aSet0(X5)
        | equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))
        | ~ equal(sbrdtbr0(X5),xk)
        | ~ aSet0(X5)
        | equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
        | ~ aSet0(X5)
        | equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
        | ~ aElementOf0(X4,szNzAzT0) )
      & aFunction0(xd)
      & equal(szDzozmdt0(xd),szNzAzT0) ),
    inference(distribute,[status(thm)],[384]) ).

cnf(386,plain,
    szDzozmdt0(xd) = szNzAzT0,
    inference(split_conjunct,[status(thm)],[385]) ).

fof(4551,plain,
    ( ? [X2] :
        ( aElementOf0(X2,szDzozmdt0(xd))
        & equal(sdtlpdtrp0(xd,X2),xx) )
    & aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    inference(variable_rename,[status(thm)],[88]) ).

fof(4552,plain,
    ( aElementOf0(esk34_0,szDzozmdt0(xd))
    & equal(sdtlpdtrp0(xd,esk34_0),xx)
    & aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    inference(skolemize,[status(esa)],[4551]) ).

cnf(4554,plain,
    sdtlpdtrp0(xd,esk34_0) = xx,
    inference(split_conjunct,[status(thm)],[4552]) ).

cnf(4555,plain,
    aElementOf0(esk34_0,szDzozmdt0(xd)),
    inference(split_conjunct,[status(thm)],[4552]) ).

cnf(5255,plain,
    aElementOf0(esk34_0,szNzAzT0),
    inference(rw,[status(thm)],[4555,386,theory(equality)]) ).

cnf(5285,plain,
    ~ aElementOf0(esk34_0,szNzAzT0),
    inference(spm,[status(thm)],[203,4554,theory(equality)]) ).

cnf(5286,plain,
    $false,
    inference(rw,[status(thm)],[5285,5255,theory(equality)]) ).

cnf(5287,plain,
    $false,
    inference(cn,[status(thm)],[5286,theory(equality)]) ).

cnf(5288,plain,
    $false,
    5287,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM594+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n040.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 : Mon Jan  8 08:48:57 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.28  --creating new selector for []
% 0.41/0.92  -running prover on /export/starexec/sandbox/tmp/tmp19fC3x/sel_theBenchmark.p_1 with time limit 29
% 0.41/0.92  -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/tmp19fC3x/sel_theBenchmark.p_1']
% 0.41/0.92  -prover status Theorem
% 0.41/0.92  Problem theBenchmark.p solved in phase 0.
% 0.41/0.92  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.92  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.92  Solved 1 out of 1.
% 0.41/0.92  # Problem is unsatisfiable (or provable), constructing proof object
% 0.41/0.92  # SZS status Theorem
% 0.41/0.92  # SZS output start CNFRefutation.
% See solution above
% 0.41/0.93  # SZS output end CNFRefutation
%------------------------------------------------------------------------------