TSTP Solution File: NUM458+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM458+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n073.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 15:21:24 EST 2018

% Result   : Theorem 0.07s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   44 (   2 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   44 (  20   ~;  14   |;   9   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn   7   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/tmp/tmpuO2X8U/sel_theBenchmark.p_1',mSortsC) ).

fof(7,axiom,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox2/tmp/tmpuO2X8U/sel_theBenchmark.p_1',m__718) ).

fof(13,conjecture,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & equal(sdtpldt0(xm,X1),xm) )
    | sdtlseqdt0(xm,xm) ),
    file('/export/starexec/sandbox2/tmp/tmpuO2X8U/sel_theBenchmark.p_1',m__) ).

fof(14,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( equal(sdtpldt0(X1,sz00),X1)
        & equal(X1,sdtpldt0(sz00,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmpuO2X8U/sel_theBenchmark.p_1',m_AddZero) ).

fof(22,negated_conjecture,
    ~ ( ? [X1] :
          ( aNaturalNumber0(X1)
          & equal(sdtpldt0(xm,X1),xm) )
      | sdtlseqdt0(xm,xm) ),
    inference(assume_negation,[status(cth)],[13]) ).

cnf(23,plain,
    aNaturalNumber0(sz00),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(46,plain,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[7]) ).

fof(64,negated_conjecture,
    ( ! [X1] :
        ( ~ aNaturalNumber0(X1)
        | ~ equal(sdtpldt0(xm,X1),xm) )
    & ~ sdtlseqdt0(xm,xm) ),
    inference(fof_nnf,[status(thm)],[22]) ).

fof(65,negated_conjecture,
    ( ! [X2] :
        ( ~ aNaturalNumber0(X2)
        | ~ equal(sdtpldt0(xm,X2),xm) )
    & ~ sdtlseqdt0(xm,xm) ),
    inference(variable_rename,[status(thm)],[64]) ).

fof(66,negated_conjecture,
    ! [X2] :
      ( ( ~ aNaturalNumber0(X2)
        | ~ equal(sdtpldt0(xm,X2),xm) )
      & ~ sdtlseqdt0(xm,xm) ),
    inference(shift_quantors,[status(thm)],[65]) ).

cnf(68,negated_conjecture,
    ( sdtpldt0(xm,X1) != xm
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[66]) ).

fof(69,plain,
    ! [X1] :
      ( ~ aNaturalNumber0(X1)
      | ( equal(sdtpldt0(X1,sz00),X1)
        & equal(X1,sdtpldt0(sz00,X1)) ) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(70,plain,
    ! [X2] :
      ( ~ aNaturalNumber0(X2)
      | ( equal(sdtpldt0(X2,sz00),X2)
        & equal(X2,sdtpldt0(sz00,X2)) ) ),
    inference(variable_rename,[status(thm)],[69]) ).

fof(71,plain,
    ! [X2] :
      ( ( equal(sdtpldt0(X2,sz00),X2)
        | ~ aNaturalNumber0(X2) )
      & ( equal(X2,sdtpldt0(sz00,X2))
        | ~ aNaturalNumber0(X2) ) ),
    inference(distribute,[status(thm)],[70]) ).

cnf(73,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[71]) ).

cnf(113,negated_conjecture,
    ( ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm) ),
    inference(spm,[status(thm)],[68,73,theory(equality)]) ).

cnf(114,negated_conjecture,
    ( $false
    | ~ aNaturalNumber0(xm) ),
    inference(rw,[status(thm)],[113,23,theory(equality)]) ).

cnf(115,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[114,46,theory(equality)]) ).

cnf(116,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[115,theory(equality)]) ).

cnf(117,negated_conjecture,
    $false,
    116,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM458+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 : n073.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 05:17:59 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.07/0.28  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28  --creating new selector for []
% 0.07/0.35  -running prover on /export/starexec/sandbox2/tmp/tmpuO2X8U/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.35  -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/tmpuO2X8U/sel_theBenchmark.p_1']
% 0.07/0.35  -prover status Theorem
% 0.07/0.35  Problem theBenchmark.p solved in phase 0.
% 0.07/0.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35  Solved 1 out of 1.
% 0.07/0.35  # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.35  # SZS status Theorem
% 0.07/0.35  # SZS output start CNFRefutation.
% See solution above
% 0.07/0.35  # SZS output end CNFRefutation
%------------------------------------------------------------------------------