TSTP Solution File: CSR068+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR068+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 06:45:46 EST 2010

% Result   : Theorem 1.21s
% Output   : CNFRefutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  11 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  19   ~;  17   |;   3   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   14 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    file('/tmp/tmpwHTONd/sel_CSR068+3.p_1',ax2_4137) ).

fof(4,axiom,
    ! [X2] :
      ( ( mtvisible(c_tptp_spindleheadmt)
        & furpelt(X2) )
     => tptpofobject(X2,f_tptpquantityfn_1(n_328)) ),
    file('/tmp/tmpwHTONd/sel_CSR068+3.p_1',ax2_1436) ).

fof(32,axiom,
    furpelt(c_theprototypicalfurpelt),
    file('/tmp/tmpwHTONd/sel_CSR068+3.p_1',ax2_385) ).

fof(47,axiom,
    ! [X11,X12] :
      ( ( mtvisible(X11)
        & genlmt(X11,X12) )
     => mtvisible(X12) ),
    file('/tmp/tmpwHTONd/sel_CSR068+3.p_1',ax2_7997) ).

fof(49,conjecture,
    ( mtvisible(c_tptp_member2356_mt)
   => tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    file('/tmp/tmpwHTONd/sel_CSR068+3.p_1',query168) ).

fof(50,negated_conjecture,
    ~ ( mtvisible(c_tptp_member2356_mt)
     => tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    inference(assume_negation,[status(cth)],[49]) ).

cnf(51,plain,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[1]) ).

fof(58,plain,
    ! [X2] :
      ( ~ mtvisible(c_tptp_spindleheadmt)
      | ~ furpelt(X2)
      | tptpofobject(X2,f_tptpquantityfn_1(n_328)) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(59,plain,
    ! [X3] :
      ( ~ mtvisible(c_tptp_spindleheadmt)
      | ~ furpelt(X3)
      | tptpofobject(X3,f_tptpquantityfn_1(n_328)) ),
    inference(variable_rename,[status(thm)],[58]) ).

cnf(60,plain,
    ( tptpofobject(X1,f_tptpquantityfn_1(n_328))
    | ~ furpelt(X1)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(split_conjunct,[status(thm)],[59]) ).

cnf(136,plain,
    furpelt(c_theprototypicalfurpelt),
    inference(split_conjunct,[status(thm)],[32]) ).

fof(170,plain,
    ! [X11,X12] :
      ( ~ mtvisible(X11)
      | ~ genlmt(X11,X12)
      | mtvisible(X12) ),
    inference(fof_nnf,[status(thm)],[47]) ).

fof(171,plain,
    ! [X13,X14] :
      ( ~ mtvisible(X13)
      | ~ genlmt(X13,X14)
      | mtvisible(X14) ),
    inference(variable_rename,[status(thm)],[170]) ).

cnf(172,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[171]) ).

fof(174,negated_conjecture,
    ( mtvisible(c_tptp_member2356_mt)
    & ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    inference(fof_nnf,[status(thm)],[50]) ).

cnf(175,negated_conjecture,
    ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
    inference(split_conjunct,[status(thm)],[174]) ).

cnf(176,negated_conjecture,
    mtvisible(c_tptp_member2356_mt),
    inference(split_conjunct,[status(thm)],[174]) ).

cnf(179,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member2356_mt) ),
    inference(spm,[status(thm)],[172,51,theory(equality)]) ).

cnf(182,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | $false ),
    inference(rw,[status(thm)],[179,176,theory(equality)]) ).

cnf(183,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[182,theory(equality)]) ).

cnf(201,plain,
    ( tptpofobject(X1,f_tptpquantityfn_1(n_328))
    | ~ furpelt(X1)
    | $false ),
    inference(rw,[status(thm)],[60,183,theory(equality)]) ).

cnf(202,plain,
    ( tptpofobject(X1,f_tptpquantityfn_1(n_328))
    | ~ furpelt(X1) ),
    inference(cn,[status(thm)],[201,theory(equality)]) ).

cnf(209,negated_conjecture,
    ~ furpelt(c_theprototypicalfurpelt),
    inference(spm,[status(thm)],[175,202,theory(equality)]) ).

cnf(212,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[209,136,theory(equality)]) ).

cnf(213,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[212,theory(equality)]) ).

cnf(214,negated_conjecture,
    $false,
    213,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR068+3.p
% --creating new selector for [CSR002+2.ax]
% -running prover on /tmp/tmpwHTONd/sel_CSR068+3.p_1 with time limit 29
% -prover status Theorem
% Problem CSR068+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR068+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR068+3.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------