%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWC358-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art01.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 16:16:45 EDT 2009

% Result   : Unsatisfiable 0.7s
% Output   : Refutation 0.7s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  13 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_4,plain,
    sslist(sk4),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),
    [] ).

cnf(154472008,plain,
    sslist(sk4),
    inference(rewrite,[status(thm)],[co1_4]),
    [] ).

fof(clause56,plain,
    ! [A] :
      ( ~ sslist(A)
      | segmentp(A,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),
    [] ).

cnf(152581368,plain,
    ( ~ sslist(A)
    | segmentp(A,nil) ),
    inference(rewrite,[status(thm)],[clause56]),
    [] ).

cnf(200359152,plain,
    segmentp(sk4,nil),
    inference(resolution,[status(thm)],[154472008,152581368]),
    [] ).

fof(co1_12,plain,
    ( $equal(sk3,nil)
    | segmentp(sk4,sk3) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),
    [] ).

cnf(154549136,plain,
    ( $equal(sk3,nil)
    | segmentp(sk4,sk3) ),
    inference(rewrite,[status(thm)],[co1_12]),
    [] ).

cnf(207915264,plain,
    segmentp(sk4,sk3),
    inference(paramodulation,[status(thm)],[200359152,154549136,theory(equality)]),
    [] ).

fof(co1_8,plain,
    ~ segmentp(sk2,sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),
    [] ).

cnf(154508328,plain,
    ~ segmentp(sk2,sk1),
    inference(rewrite,[status(thm)],[co1_8]),
    [] ).

fof(co1_5,plain,
    $equal(sk4,sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),
    [] ).

cnf(154481984,plain,
    $equal(sk4,sk2),
    inference(rewrite,[status(thm)],[co1_5]),
    [] ).

cnf(207588568,plain,
    ~ segmentp(sk4,sk1),
    inference(paramodulation,[status(thm)],[154508328,154481984,theory(equality)]),
    [] ).

fof(co1_6,plain,
    $equal(sk3,sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),
    [] ).

cnf(152183752,plain,
    $equal(sk3,sk1),
    inference(rewrite,[status(thm)],[co1_6]),
    [] ).

cnf(207623400,plain,
    ~ segmentp(sk4,sk3),
    inference(paramodulation,[status(thm)],[207588568,152183752,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[207915264,207623400]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(co1_4,plain,(sslist(sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),[]).
% 
% cnf(154472008,plain,(sslist(sk4)),inference(rewrite,[status(thm)],[co1_4]),[]).
% 
% fof(clause56,plain,(~sslist(A)|segmentp(A,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),[]).
% 
% cnf(152581368,plain,(~sslist(A)|segmentp(A,nil)),inference(rewrite,[status(thm)],[clause56]),[]).
% 
% cnf(200359152,plain,(segmentp(sk4,nil)),inference(resolution,[status(thm)],[154472008,152581368]),[]).
% 
% fof(co1_12,plain,($equal(sk3,nil)|segmentp(sk4,sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),[]).
% 
% cnf(154549136,plain,($equal(sk3,nil)|segmentp(sk4,sk3)),inference(rewrite,[status(thm)],[co1_12]),[]).
% 
% cnf(207915264,plain,(segmentp(sk4,sk3)),inference(paramodulation,[status(thm)],[200359152,154549136,theory(equality)]),[]).
% 
% fof(co1_8,plain,(~segmentp(sk2,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),[]).
% 
% cnf(154508328,plain,(~segmentp(sk2,sk1)),inference(rewrite,[status(thm)],[co1_8]),[]).
% 
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),[]).
% 
% cnf(154481984,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
% 
% cnf(207588568,plain,(~segmentp(sk4,sk1)),inference(paramodulation,[status(thm)],[154508328,154481984,theory(equality)]),[]).
% 
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC358-1.tptp',unknown),[]).
% 
% cnf(152183752,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
% 
% cnf(207623400,plain,(~segmentp(sk4,sk3)),inference(paramodulation,[status(thm)],[207588568,152183752,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[207915264,207623400]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------