TSTP Solution File: NUM514+3 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM514+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n032.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 15:21:37 EST 2018

% Result   : Theorem 0.42s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   40 (   3 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   41 (  15   ~;   7   |;  17   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn   3   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(36,conjecture,
    ( ( aNaturalNumber0(sdtsldt0(xn,xr))
      & equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
   => ( ? [X1] :
          ( aNaturalNumber0(X1)
          & equal(sdtasdt0(sdtsldt0(xn,xr),xm),sdtasdt0(xp,X1)) )
      | doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
    file('/export/starexec/sandbox/tmp/tmpDBh0xI/sel_theBenchmark.p_1',m__) ).

fof(52,axiom,
    ( aNaturalNumber0(sdtsldt0(xk,xr))
    & equal(xk,sdtasdt0(xr,sdtsldt0(xk,xr)))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
    & equal(sdtasdt0(xp,sdtsldt0(xk,xr)),sdtasdt0(sdtsldt0(xn,xr),xm)) ),
    file('/export/starexec/sandbox/tmp/tmpDBh0xI/sel_theBenchmark.p_1',m__2613) ).

fof(57,negated_conjecture,
    ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
        & equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
     => ( ? [X1] :
            ( aNaturalNumber0(X1)
            & equal(sdtasdt0(sdtsldt0(xn,xr),xm),sdtasdt0(xp,X1)) )
        | doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
    inference(assume_negation,[status(cth)],[36]) ).

fof(375,negated_conjecture,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    & equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
    & ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ equal(sdtasdt0(sdtsldt0(xn,xr),xm),sdtasdt0(xp,X1)) )
    & ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
    inference(fof_nnf,[status(thm)],[57]) ).

fof(376,negated_conjecture,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    & equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
    & ! [X2] :
        ( ~ aNaturalNumber0(X2)
        | ~ equal(sdtasdt0(sdtsldt0(xn,xr),xm),sdtasdt0(xp,X2)) )
    & ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
    inference(variable_rename,[status(thm)],[375]) ).

fof(377,negated_conjecture,
    ! [X2] :
      ( ( ~ aNaturalNumber0(X2)
        | ~ equal(sdtasdt0(sdtsldt0(xn,xr),xm),sdtasdt0(xp,X2)) )
      & ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
      & aNaturalNumber0(sdtsldt0(xn,xr))
      & equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) ),
    inference(shift_quantors,[status(thm)],[376]) ).

cnf(381,negated_conjecture,
    ( sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[377]) ).

cnf(451,plain,
    sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
    inference(split_conjunct,[status(thm)],[52]) ).

cnf(455,plain,
    aNaturalNumber0(sdtsldt0(xk,xr)),
    inference(split_conjunct,[status(thm)],[52]) ).

cnf(663,negated_conjecture,
    ( sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(xp,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(rw,[status(thm)],[381,451,theory(equality)]) ).

cnf(15354,negated_conjecture,
    ~ aNaturalNumber0(sdtsldt0(xk,xr)),
    inference(er,[status(thm)],[663,theory(equality)]) ).

cnf(15357,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[15354,455,theory(equality)]) ).

cnf(15358,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[15357,theory(equality)]) ).

cnf(15359,negated_conjecture,
    $false,
    15358,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM514+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n032.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.625MB
% 0.03/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Fri Jan  5 06:42:15 CST 2018
% 0.03/0.23  % CPUTime  : 
% 0.03/0.28  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.28  --creating new selector for []
% 0.42/0.66  -running prover on /export/starexec/sandbox/tmp/tmpDBh0xI/sel_theBenchmark.p_1 with time limit 29
% 0.42/0.66  -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/tmpDBh0xI/sel_theBenchmark.p_1']
% 0.42/0.66  -prover status Theorem
% 0.42/0.66  Problem theBenchmark.p solved in phase 0.
% 0.42/0.66  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.66  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.66  Solved 1 out of 1.
% 0.42/0.66  # Problem is unsatisfiable (or provable), constructing proof object
% 0.42/0.66  # SZS status Theorem
% 0.42/0.66  # SZS output start CNFRefutation.
% See solution above
% 0.42/0.66  # SZS output end CNFRefutation
%------------------------------------------------------------------------------