TSTP Solution File: NUM540+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM540+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n139.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 15:21:43 EST 2018

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   38 (  17   ~;   3   |;  15   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   13 (   1 sgn   7   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(34,conjecture,
    ( ( aSet0(slbdtrb0(sz00))
      & ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)) )
   => ( ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
      | equal(slbdtrb0(sz00),slcrc0) ) ),
    file('/export/starexec/sandbox2/tmp/tmpKCIM0n/sel_theBenchmark.p_1',m__) ).

fof(53,negated_conjecture,
    ~ ( ( aSet0(slbdtrb0(sz00))
        & ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)) )
     => ( ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
        | equal(slbdtrb0(sz00),slcrc0) ) ),
    inference(assume_negation,[status(cth)],[34]) ).

fof(57,negated_conjecture,
    ~ ( ( aSet0(slbdtrb0(sz00))
        & ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)) )
     => ( ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
        | equal(slbdtrb0(sz00),slcrc0) ) ),
    inference(fof_simplification,[status(thm)],[53,theory(equality)]) ).

fof(214,negated_conjecture,
    ( aSet0(slbdtrb0(sz00))
    & ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00))
    & ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
    & ~ equal(slbdtrb0(sz00),slcrc0) ),
    inference(fof_nnf,[status(thm)],[57]) ).

fof(215,negated_conjecture,
    ( aSet0(slbdtrb0(sz00))
    & ! [X2] : ~ aElementOf0(X2,slbdtrb0(sz00))
    & ? [X3] : aElementOf0(X3,slbdtrb0(sz00))
    & ~ equal(slbdtrb0(sz00),slcrc0) ),
    inference(variable_rename,[status(thm)],[214]) ).

fof(216,negated_conjecture,
    ( aSet0(slbdtrb0(sz00))
    & ! [X2] : ~ aElementOf0(X2,slbdtrb0(sz00))
    & aElementOf0(esk9_0,slbdtrb0(sz00))
    & ~ equal(slbdtrb0(sz00),slcrc0) ),
    inference(skolemize,[status(esa)],[215]) ).

fof(217,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,slbdtrb0(sz00))
      & aSet0(slbdtrb0(sz00))
      & aElementOf0(esk9_0,slbdtrb0(sz00))
      & ~ equal(slbdtrb0(sz00),slcrc0) ),
    inference(shift_quantors,[status(thm)],[216]) ).

cnf(219,negated_conjecture,
    aElementOf0(esk9_0,slbdtrb0(sz00)),
    inference(split_conjunct,[status(thm)],[217]) ).

cnf(221,negated_conjecture,
    ~ aElementOf0(X1,slbdtrb0(sz00)),
    inference(split_conjunct,[status(thm)],[217]) ).

cnf(293,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[219,221,theory(equality)]) ).

cnf(294,negated_conjecture,
    $false,
    293,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM540+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 : n139.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 08:02:45 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.06/0.27  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27  --creating new selector for []
% 0.06/0.36  -running prover on /export/starexec/sandbox2/tmp/tmpKCIM0n/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.36  -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/tmpKCIM0n/sel_theBenchmark.p_1']
% 0.06/0.36  -prover status Theorem
% 0.06/0.36  Problem theBenchmark.p solved in phase 0.
% 0.06/0.36  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.36  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.36  Solved 1 out of 1.
% 0.06/0.36  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.36  # SZS status Theorem
% 0.06/0.36  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.36  # SZS output end CNFRefutation
%------------------------------------------------------------------------------