%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWC259-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 16:13:55 EDT 2009

% Result   : Unsatisfiable 3.8s
% Output   : Refutation 3.8s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   5   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_9,plain,
    ( ssitem(sk5)
    | $equal(sk3,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),
    [] ).

cnf(171810336,plain,
    ( ssitem(sk5)
    | $equal(sk3,nil) ),
    inference(rewrite,[status(thm)],[co1_9]),
    [] ).

fof(clause67,plain,
    ! [A] :
      ( ~ ssitem(A)
      | totalorderedp(cons(A,nil)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),
    [] ).

cnf(169957400,plain,
    ( ~ ssitem(A)
    | totalorderedp(cons(A,nil)) ),
    inference(rewrite,[status(thm)],[clause67]),
    [] ).

cnf(248241824,plain,
    ( $equal(sk3,nil)
    | totalorderedp(cons(sk5,nil)) ),
    inference(resolution,[status(thm)],[171810336,169957400]),
    [] ).

fof(co1_7,plain,
    ~ totalorderedp(sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),
    [] ).

cnf(171788736,plain,
    ~ totalorderedp(sk1),
    inference(rewrite,[status(thm)],[co1_7]),
    [] ).

fof(co1_6,plain,
    $equal(sk3,sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),
    [] ).

cnf(169445520,plain,
    $equal(sk3,sk1),
    inference(rewrite,[status(thm)],[co1_6]),
    [] ).

cnf(292924600,plain,
    ~ totalorderedp(sk3),
    inference(paramodulation,[status(thm)],[171788736,169445520,theory(equality)]),
    [] ).

fof(co1_18,plain,
    ( $equal(cons(sk5,nil),sk3)
    | $equal(sk3,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),
    [] ).

cnf(169444424,plain,
    ( $equal(cons(sk5,nil),sk3)
    | $equal(sk3,nil) ),
    inference(rewrite,[status(thm)],[co1_18]),
    [] ).

cnf(292949480,plain,
    $equal(sk3,nil),
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[248241824,292924600,169444424,theory(equality)]),
    [] ).

fof(clause4,plain,
    totalorderedp(nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),
    [] ).

cnf(169486992,plain,
    totalorderedp(nil),
    inference(rewrite,[status(thm)],[clause4]),
    [] ).

cnf(293214872,plain,
    totalorderedp(sk3),
    inference(paramodulation,[status(thm)],[292949480,169486992,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[293214872,292924600]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 3 seconds
% START OF PROOF SEQUENCE
% fof(co1_9,plain,(ssitem(sk5)|$equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),[]).
% 
% cnf(171810336,plain,(ssitem(sk5)|$equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_9]),[]).
% 
% fof(clause67,plain,(~ssitem(A)|totalorderedp(cons(A,nil))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),[]).
% 
% cnf(169957400,plain,(~ssitem(A)|totalorderedp(cons(A,nil))),inference(rewrite,[status(thm)],[clause67]),[]).
% 
% cnf(248241824,plain,($equal(sk3,nil)|totalorderedp(cons(sk5,nil))),inference(resolution,[status(thm)],[171810336,169957400]),[]).
% 
% fof(co1_7,plain,(~totalorderedp(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),[]).
% 
% cnf(171788736,plain,(~totalorderedp(sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
% 
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),[]).
% 
% cnf(169445520,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
% 
% cnf(292924600,plain,(~totalorderedp(sk3)),inference(paramodulation,[status(thm)],[171788736,169445520,theory(equality)]),[]).
% 
% fof(co1_18,plain,($equal(cons(sk5,nil),sk3)|$equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),[]).
% 
% cnf(169444424,plain,($equal(cons(sk5,nil),sk3)|$equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_18]),[]).
% 
% cnf(292949480,plain,($equal(sk3,nil)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[248241824,292924600,169444424,theory(equality)]),[]).
% 
% fof(clause4,plain,(totalorderedp(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC259-1.tptp',unknown),[]).
% 
% cnf(169486992,plain,(totalorderedp(nil)),inference(rewrite,[status(thm)],[clause4]),[]).
% 
% cnf(293214872,plain,(totalorderedp(sk3)),inference(paramodulation,[status(thm)],[292949480,169486992,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[293214872,292924600]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------