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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM491+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n080.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 15:21:32 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
%            Number of atoms       :   91 (   1 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  117 (  51   ~;  48   |;  15   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (   0 sgn  23   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(10,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( doDivides0(X1,X2)
      <=> ? [X3] :
            ( aNaturalNumber0(X3)
            & equal(X2,sdtasdt0(X1,X3)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpeD4xQl/sel_theBenchmark.p_1',mDefDiv) ).

fof(18,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox/tmp/tmpeD4xQl/sel_theBenchmark.p_1',m__1837) ).

fof(32,conjecture,
    doDivides0(xp,sdtasdt0(xp,xm)),
    file('/export/starexec/sandbox/tmp/tmpeD4xQl/sel_theBenchmark.p_1',m__) ).

fof(38,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => aNaturalNumber0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmpeD4xQl/sel_theBenchmark.p_1',mSortsB_02) ).

fof(49,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(xp,xm)),
    inference(assume_negation,[status(cth)],[32]) ).

fof(50,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(xp,xm)),
    inference(fof_simplification,[status(thm)],[49,theory(equality)]) ).

fof(82,plain,
    ! [X1,X2] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2)
      | ( ( ~ doDivides0(X1,X2)
          | ? [X3] :
              ( aNaturalNumber0(X3)
              & equal(X2,sdtasdt0(X1,X3)) ) )
        & ( ! [X3] :
              ( ~ aNaturalNumber0(X3)
              | ~ equal(X2,sdtasdt0(X1,X3)) )
          | doDivides0(X1,X2) ) ) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(83,plain,
    ! [X4,X5] :
      ( ~ aNaturalNumber0(X4)
      | ~ aNaturalNumber0(X5)
      | ( ( ~ doDivides0(X4,X5)
          | ? [X6] :
              ( aNaturalNumber0(X6)
              & equal(X5,sdtasdt0(X4,X6)) ) )
        & ( ! [X7] :
              ( ~ aNaturalNumber0(X7)
              | ~ equal(X5,sdtasdt0(X4,X7)) )
          | doDivides0(X4,X5) ) ) ),
    inference(variable_rename,[status(thm)],[82]) ).

fof(84,plain,
    ! [X4,X5] :
      ( ~ aNaturalNumber0(X4)
      | ~ aNaturalNumber0(X5)
      | ( ( ~ doDivides0(X4,X5)
          | ( aNaturalNumber0(esk1_2(X4,X5))
            & equal(X5,sdtasdt0(X4,esk1_2(X4,X5))) ) )
        & ( ! [X7] :
              ( ~ aNaturalNumber0(X7)
              | ~ equal(X5,sdtasdt0(X4,X7)) )
          | doDivides0(X4,X5) ) ) ),
    inference(skolemize,[status(esa)],[83]) ).

fof(85,plain,
    ! [X4,X5,X7] :
      ( ( ( ~ aNaturalNumber0(X7)
          | ~ equal(X5,sdtasdt0(X4,X7))
          | doDivides0(X4,X5) )
        & ( ~ doDivides0(X4,X5)
          | ( aNaturalNumber0(esk1_2(X4,X5))
            & equal(X5,sdtasdt0(X4,esk1_2(X4,X5))) ) ) )
      | ~ aNaturalNumber0(X4)
      | ~ aNaturalNumber0(X5) ),
    inference(shift_quantors,[status(thm)],[84]) ).

fof(86,plain,
    ! [X4,X5,X7] :
      ( ( ~ aNaturalNumber0(X7)
        | ~ equal(X5,sdtasdt0(X4,X7))
        | doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( aNaturalNumber0(esk1_2(X4,X5))
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) )
      & ( equal(X5,sdtasdt0(X4,esk1_2(X4,X5)))
        | ~ doDivides0(X4,X5)
        | ~ aNaturalNumber0(X4)
        | ~ aNaturalNumber0(X5) ) ),
    inference(distribute,[status(thm)],[85]) ).

cnf(89,plain,
    ( doDivides0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | X1 != sdtasdt0(X2,X3)
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(109,plain,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(110,plain,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(167,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(xp,xm)),
    inference(split_conjunct,[status(thm)],[50]) ).

fof(187,plain,
    ! [X1,X2] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2)
      | aNaturalNumber0(sdtasdt0(X1,X2)) ),
    inference(fof_nnf,[status(thm)],[38]) ).

fof(188,plain,
    ! [X3,X4] :
      ( ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X4)
      | aNaturalNumber0(sdtasdt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[187]) ).

cnf(189,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[188]) ).

cnf(381,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
    inference(er,[status(thm)],[89,theory(equality)]) ).

cnf(3898,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[381,189]) ).

cnf(3902,negated_conjecture,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xp) ),
    inference(spm,[status(thm)],[167,3898,theory(equality)]) ).

cnf(3937,negated_conjecture,
    ( $false
    | ~ aNaturalNumber0(xp) ),
    inference(rw,[status(thm)],[3902,110,theory(equality)]) ).

cnf(3938,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[3937,109,theory(equality)]) ).

cnf(3939,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[3938,theory(equality)]) ).

cnf(3940,negated_conjecture,
    $false,
    3939,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM491+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.22  % Computer : n080.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 05:24:15 CST 2018
% 0.03/0.22  % CPUTime  : 
% 0.06/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27  --creating new selector for []
% 0.06/0.40  -running prover on /export/starexec/sandbox/tmp/tmpeD4xQl/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.40  -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/tmpeD4xQl/sel_theBenchmark.p_1']
% 0.06/0.40  -prover status Theorem
% 0.06/0.40  Problem theBenchmark.p solved in phase 0.
% 0.06/0.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.40  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.40  Solved 1 out of 1.
% 0.06/0.40  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.40  # SZS status Theorem
% 0.06/0.40  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.40  # SZS output end CNFRefutation
%------------------------------------------------------------------------------