%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWV121+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% 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 : Sun Dec 26 12:19:29 EST 2010

% Result   : Theorem 0.25s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   6 unt;   0 def)
%            Number of atoms       :   58 (   9 equ)
%            Maximal formula atoms :   16 (   5 avg)
%            Number of connectives :   51 (   4   ~;   0   |;  34   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-3 aty)
%            Number of variables   :   18 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(25,axiom,
    true,
    file('/tmp/tmpCoevtA/sel_SWV121+1.p_1',ttrue) ).

fof(69,conjecture,
    ( ( ! [X4,X5] :
          ( ( leq(n0,X4)
            & leq(n0,X5)
            & leq(X4,minus(n6,n1))
            & leq(X5,minus(n6,n1)) )
         => a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) )
      & ! [X6,X7] :
          ( ( leq(n0,X6)
            & leq(n0,X7)
            & leq(X6,minus(n3,n1))
            & leq(X7,minus(n3,n1)) )
         => a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6) )
      & ! [X8,X9] :
          ( ( leq(n0,X8)
            & leq(n0,X9)
            & leq(X8,minus(n6,n1))
            & leq(X9,minus(n6,n1)) )
         => a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8) ) )
   => true ),
    file('/tmp/tmpCoevtA/sel_SWV121+1.p_1',quaternion_ds1_symm_0014) ).

fof(72,negated_conjecture,
    ~ ( ( ! [X4,X5] :
            ( ( leq(n0,X4)
              & leq(n0,X5)
              & leq(X4,minus(n6,n1))
              & leq(X5,minus(n6,n1)) )
           => a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) )
        & ! [X6,X7] :
            ( ( leq(n0,X6)
              & leq(n0,X7)
              & leq(X6,minus(n3,n1))
              & leq(X7,minus(n3,n1)) )
           => a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6) )
        & ! [X8,X9] :
            ( ( leq(n0,X8)
              & leq(n0,X9)
              & leq(X8,minus(n6,n1))
              & leq(X9,minus(n6,n1)) )
           => a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8) ) )
     => true ),
    inference(assume_negation,[status(cth)],[69]) ).

fof(74,plain,
    ( epred1_0
   => ( ! [X4,X5] :
          ( ( leq(n0,X4)
            & leq(n0,X5)
            & leq(X4,minus(n6,n1))
            & leq(X5,minus(n6,n1)) )
         => a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) )
      & ! [X6,X7] :
          ( ( leq(n0,X6)
            & leq(n0,X7)
            & leq(X6,minus(n3,n1))
            & leq(X7,minus(n3,n1)) )
         => a_select3(r_ds1_filter,X6,X7) = a_select3(r_ds1_filter,X7,X6) )
      & ! [X8,X9] :
          ( ( leq(n0,X8)
            & leq(n0,X9)
            & leq(X8,minus(n6,n1))
            & leq(X9,minus(n6,n1)) )
         => a_select3(pminus_ds1_filter,X8,X9) = a_select3(pminus_ds1_filter,X9,X8) ) ) ),
    introduced(definition) ).

fof(75,negated_conjecture,
    ~ ( epred1_0
     => true ),
    inference(apply_def,[status(esa)],[72,74,theory(equality)]) ).

cnf(134,plain,
    true,
    inference(split_conjunct,[status(thm)],[25]) ).

fof(198,negated_conjecture,
    ( epred1_0
    & ~ true ),
    inference(fof_nnf,[status(thm)],[75]) ).

cnf(199,negated_conjecture,
    ~ true,
    inference(split_conjunct,[status(thm)],[198]) ).

cnf(239,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[199,134,theory(equality)]) ).

cnf(240,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[239,theory(equality)]) ).

cnf(241,negated_conjecture,
    $false,
    240,
    [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/SWV/SWV121+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpCoevtA/sel_SWV121+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV121+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV121+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV121+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
% 
%------------------------------------------------------------------------------