TSTP Solution File: SWC349-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWC349-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 16:16:11 EDT 2009

% Result   : Unsatisfiable 1.4s
% Output   : Refutation 1.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  12 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   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    :    4 (   4 usr;   4 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_2,plain,
    sslist(sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),
    [] ).

cnf(161743752,plain,
    sslist(sk2),
    inference(rewrite,[status(thm)],[co1_2]),
    [] ).

fof(clause60,plain,
    ! [A] :
      ( ~ sslist(A)
      | frontsegp(A,nil) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),
    [] ).

cnf(159904640,plain,
    ( ~ sslist(A)
    | frontsegp(A,nil) ),
    inference(rewrite,[status(thm)],[clause60]),
    [] ).

cnf(203280936,plain,
    frontsegp(sk2,nil),
    inference(resolution,[status(thm)],[161743752,159904640]),
    [] ).

fof(co1_5,plain,
    $equal(sk3,nil),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),
    [] ).

cnf(161768136,plain,
    $equal(sk3,nil),
    inference(rewrite,[status(thm)],[co1_5]),
    [] ).

cnf(221401464,plain,
    frontsegp(sk2,sk3),
    inference(paramodulation,[status(thm)],[203280936,161768136,theory(equality)]),
    [] ).

fof(co1_9,plain,
    ~ frontsegp(sk2,sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),
    [] ).

cnf(161803768,plain,
    ~ frontsegp(sk2,sk1),
    inference(rewrite,[status(thm)],[co1_9]),
    [] ).

fof(co1_7,plain,
    $equal(sk3,sk1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),
    [] ).

cnf(161783368,plain,
    $equal(sk3,sk1),
    inference(rewrite,[status(thm)],[co1_7]),
    [] ).

cnf(220435656,plain,
    ~ frontsegp(sk2,sk3),
    inference(paramodulation,[status(thm)],[161803768,161783368,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[221401464,220435656]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(co1_2,plain,(sslist(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),[]).
% 
% cnf(161743752,plain,(sslist(sk2)),inference(rewrite,[status(thm)],[co1_2]),[]).
% 
% fof(clause60,plain,(~sslist(A)|frontsegp(A,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),[]).
% 
% cnf(159904640,plain,(~sslist(A)|frontsegp(A,nil)),inference(rewrite,[status(thm)],[clause60]),[]).
% 
% cnf(203280936,plain,(frontsegp(sk2,nil)),inference(resolution,[status(thm)],[161743752,159904640]),[]).
% 
% fof(co1_5,plain,($equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),[]).
% 
% cnf(161768136,plain,($equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_5]),[]).
% 
% cnf(221401464,plain,(frontsegp(sk2,sk3)),inference(paramodulation,[status(thm)],[203280936,161768136,theory(equality)]),[]).
% 
% fof(co1_9,plain,(~frontsegp(sk2,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),[]).
% 
% cnf(161803768,plain,(~frontsegp(sk2,sk1)),inference(rewrite,[status(thm)],[co1_9]),[]).
% 
% fof(co1_7,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),[]).
% 
% cnf(161783368,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
% 
% cnf(220435656,plain,(~frontsegp(sk2,sk3)),inference(paramodulation,[status(thm)],[161803768,161783368,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[221401464,220435656]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------