TSTP Solution File: CSR068+4 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR068+4 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 06:41:41 EST 2010

% Result   : Theorem 7.02s
% Output   : CNFRefutation 7.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  10 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  20   ~;  16   |;   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   :   12 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,axiom,
    furpelt(c_theprototypicalfurpelt),
    file('/tmp/tmpVuLobD/sel_CSR068+4.p_1',ax3_12842) ).

fof(9,axiom,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    file('/tmp/tmpVuLobD/sel_CSR068+4.p_1',ax3_25911) ).

fof(14,axiom,
    ! [X2] :
      ( ( mtvisible(c_tptp_spindleheadmt)
        & furpelt(X2) )
     => tptpofobject(X2,f_tptpquantityfn_1(n_328)) ),
    file('/tmp/tmpVuLobD/sel_CSR068+4.p_1',ax3_6393) ).

fof(56,axiom,
    ! [X11,X12] :
      ( ( mtvisible(X11)
        & genlmt(X11,X12) )
     => mtvisible(X12) ),
    file('/tmp/tmpVuLobD/sel_CSR068+4.p_1',ax3_44208) ).

fof(68,conjecture,
    ( mtvisible(c_tptp_member2356_mt)
   => tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    file('/tmp/tmpVuLobD/sel_CSR068+4.p_1',query218) ).

fof(69,negated_conjecture,
    ~ ( mtvisible(c_tptp_member2356_mt)
     => tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    inference(assume_negation,[status(cth)],[68]) ).

cnf(87,plain,
    furpelt(c_theprototypicalfurpelt),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(90,plain,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[9]) ).

fof(102,plain,
    ! [X2] :
      ( ~ mtvisible(c_tptp_spindleheadmt)
      | ~ furpelt(X2)
      | tptpofobject(X2,f_tptpquantityfn_1(n_328)) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(103,plain,
    ! [X3] :
      ( ~ mtvisible(c_tptp_spindleheadmt)
      | ~ furpelt(X3)
      | tptpofobject(X3,f_tptpquantityfn_1(n_328)) ),
    inference(variable_rename,[status(thm)],[102]) ).

cnf(104,plain,
    ( tptpofobject(X1,f_tptpquantityfn_1(n_328))
    | ~ furpelt(X1)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(split_conjunct,[status(thm)],[103]) ).

fof(205,plain,
    ! [X11,X12] :
      ( ~ mtvisible(X11)
      | ~ genlmt(X11,X12)
      | mtvisible(X12) ),
    inference(fof_nnf,[status(thm)],[56]) ).

fof(206,plain,
    ! [X13,X14] :
      ( ~ mtvisible(X13)
      | ~ genlmt(X13,X14)
      | mtvisible(X14) ),
    inference(variable_rename,[status(thm)],[205]) ).

cnf(207,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[206]) ).

fof(235,negated_conjecture,
    ( mtvisible(c_tptp_member2356_mt)
    & ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    inference(fof_nnf,[status(thm)],[69]) ).

cnf(236,negated_conjecture,
    ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
    inference(split_conjunct,[status(thm)],[235]) ).

cnf(237,negated_conjecture,
    mtvisible(c_tptp_member2356_mt),
    inference(split_conjunct,[status(thm)],[235]) ).

cnf(242,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member2356_mt) ),
    inference(spm,[status(thm)],[207,90,theory(equality)]) ).

cnf(245,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | $false ),
    inference(rw,[status(thm)],[242,237,theory(equality)]) ).

cnf(246,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[245,theory(equality)]) ).

cnf(256,negated_conjecture,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | ~ furpelt(c_theprototypicalfurpelt) ),
    inference(spm,[status(thm)],[236,104,theory(equality)]) ).

cnf(259,negated_conjecture,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | $false ),
    inference(rw,[status(thm)],[256,87,theory(equality)]) ).

cnf(260,negated_conjecture,
    ~ mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[259,theory(equality)]) ).

cnf(273,plain,
    $false,
    inference(sr,[status(thm)],[246,260,theory(equality)]) ).

cnf(274,plain,
    $false,
    273,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR068+4.p
% --creating new selector for [CSR002+3.ax]
% -running prover on /tmp/tmpVuLobD/sel_CSR068+4.p_1 with time limit 29
% -prover status Theorem
% Problem CSR068+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR068+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR068+4.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
% 
%------------------------------------------------------------------------------