TSTP Solution File: HWV026-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : HWV026-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:19:06 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   30 (  12   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(quest_4,plain,
    ( p_wr_error(t_139)
    | p_wr_error(plus(t_139,n1)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),
    [] ).

cnf(162917264,plain,
    ( p_wr_error(t_139)
    | p_wr_error(plus(t_139,n1)) ),
    inference(rewrite,[status(thm)],[quest_4]),
    [] ).

fof(axiom_89,plain,
    ! [A] :
      ( p_reset(A)
      | p_wr(A)
      | ~ p_wr_error(plus(A,n1))
      | p_wr_error(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),
    [] ).

cnf(162883096,plain,
    ( p_reset(A)
    | p_wr(A)
    | ~ p_wr_error(plus(A,n1))
    | p_wr_error(A) ),
    inference(rewrite,[status(thm)],[axiom_89]),
    [] ).

fof(quest_2,plain,
    ~ p_reset(t_139),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),
    [] ).

cnf(162903208,plain,
    ~ p_reset(t_139),
    inference(rewrite,[status(thm)],[quest_2]),
    [] ).

cnf(179216656,plain,
    ( p_wr(t_139)
    | p_wr_error(t_139) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162917264,162883096,162903208]),
    [] ).

fof(axiom_90,plain,
    ! [A] :
      ( p_reset(A)
      | p_wr(A)
      | p_wr_error(plus(A,n1))
      | ~ p_wr_error(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),
    [] ).

cnf(162890256,plain,
    ( p_reset(A)
    | p_wr(A)
    | p_wr_error(plus(A,n1))
    | ~ p_wr_error(A) ),
    inference(rewrite,[status(thm)],[axiom_90]),
    [] ).

cnf(179227008,plain,
    ( p_wr(t_139)
    | p_wr_error(plus(t_139,n1)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[179216656,162890256,162903208]),
    [] ).

fof(quest_1,plain,
    ~ p_wr(t_139),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),
    [] ).

cnf(162894488,plain,
    ~ p_wr(t_139),
    inference(rewrite,[status(thm)],[quest_1]),
    [] ).

cnf(179231456,plain,
    p_wr_error(plus(t_139,n1)),
    inference(resolution,[status(thm)],[179227008,162894488]),
    [] ).

fof(quest_3,plain,
    ( ~ p_wr_error(t_139)
    | ~ p_wr_error(plus(t_139,n1)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),
    [] ).

cnf(162910136,plain,
    ( ~ p_wr_error(t_139)
    | ~ p_wr_error(plus(t_139,n1)) ),
    inference(rewrite,[status(thm)],[quest_3]),
    [] ).

cnf(179221704,plain,
    p_wr_error(t_139),
    inference(resolution,[status(thm)],[179216656,162894488]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[179231456,162910136,179221704]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(quest_4,plain,(p_wr_error(t_139)|p_wr_error(plus(t_139,n1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),[]).
% 
% cnf(162917264,plain,(p_wr_error(t_139)|p_wr_error(plus(t_139,n1))),inference(rewrite,[status(thm)],[quest_4]),[]).
% 
% fof(axiom_89,plain,(p_reset(A)|p_wr(A)|~p_wr_error(plus(A,n1))|p_wr_error(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),[]).
% 
% cnf(162883096,plain,(p_reset(A)|p_wr(A)|~p_wr_error(plus(A,n1))|p_wr_error(A)),inference(rewrite,[status(thm)],[axiom_89]),[]).
% 
% fof(quest_2,plain,(~p_reset(t_139)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),[]).
% 
% cnf(162903208,plain,(~p_reset(t_139)),inference(rewrite,[status(thm)],[quest_2]),[]).
% 
% cnf(179216656,plain,(p_wr(t_139)|p_wr_error(t_139)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162917264,162883096,162903208]),[]).
% 
% fof(axiom_90,plain,(p_reset(A)|p_wr(A)|p_wr_error(plus(A,n1))|~p_wr_error(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),[]).
% 
% cnf(162890256,plain,(p_reset(A)|p_wr(A)|p_wr_error(plus(A,n1))|~p_wr_error(A)),inference(rewrite,[status(thm)],[axiom_90]),[]).
% 
% cnf(179227008,plain,(p_wr(t_139)|p_wr_error(plus(t_139,n1))),inference(forward_subsumption_resolution__resolution,[status(thm)],[179216656,162890256,162903208]),[]).
% 
% fof(quest_1,plain,(~p_wr(t_139)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),[]).
% 
% cnf(162894488,plain,(~p_wr(t_139)),inference(rewrite,[status(thm)],[quest_1]),[]).
% 
% cnf(179231456,plain,(p_wr_error(plus(t_139,n1))),inference(resolution,[status(thm)],[179227008,162894488]),[]).
% 
% fof(quest_3,plain,(~p_wr_error(t_139)|~p_wr_error(plus(t_139,n1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV026-1.tptp',unknown),[]).
% 
% cnf(162910136,plain,(~p_wr_error(t_139)|~p_wr_error(plus(t_139,n1))),inference(rewrite,[status(thm)],[quest_3]),[]).
% 
% cnf(179221704,plain,(p_wr_error(t_139)),inference(resolution,[status(thm)],[179216656,162894488]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[179231456,162910136,179221704]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------