%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV395+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 16:34:39 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   4 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    6 (   3   ~;   0   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   2 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l31_co,plain,
    ( pair_in_list(create_slb,w,x)
    & strictly_less_than(w,x)
    & ok(remove_cpq(triple(u,create_slb,v),w))
    & ~ pair_in_list(remove_slb(create_slb,w),w,x) ),
    file('/tmp/SystemOnTPTP5567/SWV395+1.p',unknown),
    [] ).

cnf(169790576,plain,
    pair_in_list(create_slb,w,x),
    inference(rewrite,[status(thm)],[l31_co]),
    [] ).

fof(ax22,plain,
    ! [A,B] : ~ pair_in_list(create_slb,A,B),
    file('/tmp/SystemOnTPTP5567/SWV395+1.p',unknown),
    [] ).

cnf(169120584,plain,
    ~ pair_in_list(create_slb,A,B),
    inference(rewrite,[status(thm)],[ax22]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[169790576,169120584]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l31_co,plain,((pair_in_list(create_slb,w,x)&strictly_less_than(w,x)&ok(remove_cpq(triple(u,create_slb,v),w))&~pair_in_list(remove_slb(create_slb,w),w,x))),file('/tmp/SystemOnTPTP5567/SWV395+1.p',unknown),[]).
% 
% cnf(169790576,plain,(pair_in_list(create_slb,w,x)),inference(rewrite,[status(thm)],[l31_co]),[]).
% 
% fof(ax22,plain,(~pair_in_list(create_slb,A,B)),file('/tmp/SystemOnTPTP5567/SWV395+1.p',unknown),[]).
% 
% cnf(169120584,plain,(~pair_in_list(create_slb,A,B)),inference(rewrite,[status(thm)],[ax22]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169790576,169120584]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------