%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN346+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art07.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 13:16:00 EST 2010

% Result   : Theorem 0.16s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   42 (  16   ~;   9   |;  13   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   31 (   5 sgn  14   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ! [X1,X2] :
    ? [X3,X4] :
    ! [X5,X6] :
      ( big_f(X2,X5)
     => ( big_f(X3,X6)
       => ( ( big_f(X3,X5)
            & big_f(X4,X5) )
          | ( big_f(X2,X6)
            & big_f(X4,X6) ) ) ) ),
    file('/tmp/tmp8TQNID/sel_SYN346+1.p_1',church_46_17_2) ).

fof(2,negated_conjecture,
    ~ ! [X1,X2] :
      ? [X3,X4] :
      ! [X5,X6] :
        ( big_f(X2,X5)
       => ( big_f(X3,X6)
         => ( ( big_f(X3,X5)
              & big_f(X4,X5) )
            | ( big_f(X2,X6)
              & big_f(X4,X6) ) ) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ? [X1,X2] :
    ! [X3,X4] :
    ? [X5,X6] :
      ( big_f(X2,X5)
      & big_f(X3,X6)
      & ( ~ big_f(X3,X5)
        | ~ big_f(X4,X5) )
      & ( ~ big_f(X2,X6)
        | ~ big_f(X4,X6) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(4,negated_conjecture,
    ? [X7,X8] :
    ! [X9,X10] :
    ? [X11,X12] :
      ( big_f(X8,X11)
      & big_f(X9,X12)
      & ( ~ big_f(X9,X11)
        | ~ big_f(X10,X11) )
      & ( ~ big_f(X8,X12)
        | ~ big_f(X10,X12) ) ),
    inference(variable_rename,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ! [X9,X10] :
      ( big_f(esk2_0,esk3_2(X9,X10))
      & big_f(X9,esk4_2(X9,X10))
      & ( ~ big_f(X9,esk3_2(X9,X10))
        | ~ big_f(X10,esk3_2(X9,X10)) )
      & ( ~ big_f(esk2_0,esk4_2(X9,X10))
        | ~ big_f(X10,esk4_2(X9,X10)) ) ),
    inference(skolemize,[status(esa)],[4]) ).

cnf(6,negated_conjecture,
    ( ~ big_f(X1,esk4_2(X2,X1))
    | ~ big_f(esk2_0,esk4_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(8,negated_conjecture,
    big_f(X1,esk4_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(10,negated_conjecture,
    ~ big_f(X1,esk4_2(esk2_0,X1)),
    inference(spm,[status(thm)],[6,8,theory(equality)]) ).

cnf(12,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[10,8,theory(equality)]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN346+1.p
% --creating new selector for []
% -running prover on /tmp/tmp8TQNID/sel_SYN346+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN346+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN346+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN346+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
% 
%------------------------------------------------------------------------------