%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN379+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.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 : Sun Dec 26 13:18:24 EST 2010

% Result   : Theorem 0.21s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   30 (  12   ~;   0   |;  12   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   35 (   4 sgn  27   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ( ! [X1] : big_p(X1)
   => ? [X2] :
        ( ! [X1,X3] : big_q(X1,X2,X3)
       => ~ ! [X3] :
              ( big_p(X3)
              & ~ big_q(X2,X2,X3) ) ) ),
    file('/tmp/tmpNMbvAb/sel_SYN379+1.p_1',x2131) ).

fof(2,negated_conjecture,
    ~ ( ! [X1] : big_p(X1)
     => ? [X2] :
          ( ! [X1,X3] : big_q(X1,X2,X3)
         => ~ ! [X3] :
                ( big_p(X3)
                & ~ big_q(X2,X2,X3) ) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ( ! [X1] : big_p(X1)
     => ? [X2] :
          ( ! [X1,X3] : big_q(X1,X2,X3)
         => ~ ! [X3] :
                ( big_p(X3)
                & ~ big_q(X2,X2,X3) ) ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ( ! [X1] : big_p(X1)
    & ! [X2] :
        ( ! [X1,X3] : big_q(X1,X2,X3)
        & ! [X3] :
            ( big_p(X3)
            & ~ big_q(X2,X2,X3) ) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ( ! [X4] : big_p(X4)
    & ! [X5] :
        ( ! [X6,X7] : big_q(X6,X5,X7)
        & ! [X8] :
            ( big_p(X8)
            & ~ big_q(X5,X5,X8) ) ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ! [X4,X5,X6,X7,X8] :
      ( big_p(X8)
      & ~ big_q(X5,X5,X8)
      & big_q(X6,X5,X7)
      & big_p(X4) ),
    inference(shift_quantors,[status(thm)],[5]) ).

cnf(8,negated_conjecture,
    big_q(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(9,negated_conjecture,
    ~ big_q(X1,X1,X2),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(12,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[9,8,theory(equality)]),
    [unfolding] ).

cnf(13,negated_conjecture,
    $false,
    12,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN379+1.p
% --creating new selector for []
% -running prover on /tmp/tmpNMbvAb/sel_SYN379+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN379+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN379+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN379+1.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
% 
%------------------------------------------------------------------------------