TSTP Solution File: HWV030-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : HWV030-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 13:19:35 EDT 2009

% Result   : Unsatisfiable 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 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(quest_3,plain,
    gt(fifo_length,n0),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),
    [] ).

cnf(166308128,plain,
    gt(fifo_length,n0),
    inference(rewrite,[status(thm)],[quest_3]),
    [] ).

fof(quest_1,plain,
    p_reset(t_139),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),
    [] ).

cnf(166295408,plain,
    p_reset(t_139),
    inference(rewrite,[status(thm)],[quest_1]),
    [] ).

fof(axiom_27,plain,
    ! [A] :
      ( ~ p_reset(A)
      | $equal(wr_level(plus(A,n1)),n0) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),
    [] ).

cnf(165738720,plain,
    ( ~ p_reset(A)
    | $equal(wr_level(plus(A,n1)),n0) ),
    inference(rewrite,[status(thm)],[axiom_27]),
    [] ).

fof(quest_2,plain,
    ~ gt(fifo_length,wr_level(plus(t_139,n1))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),
    [] ).

cnf(166304016,plain,
    ~ gt(fifo_length,wr_level(plus(t_139,n1))),
    inference(rewrite,[status(thm)],[quest_2]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[166308128,166295408,165738720,166304016,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(quest_3,plain,(gt(fifo_length,n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),[]).
% 
% cnf(166308128,plain,(gt(fifo_length,n0)),inference(rewrite,[status(thm)],[quest_3]),[]).
% 
% fof(quest_1,plain,(p_reset(t_139)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),[]).
% 
% cnf(166295408,plain,(p_reset(t_139)),inference(rewrite,[status(thm)],[quest_1]),[]).
% 
% fof(axiom_27,plain,(~p_reset(A)|$equal(wr_level(plus(A,n1)),n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),[]).
% 
% cnf(165738720,plain,(~p_reset(A)|$equal(wr_level(plus(A,n1)),n0)),inference(rewrite,[status(thm)],[axiom_27]),[]).
% 
% fof(quest_2,plain,(~gt(fifo_length,wr_level(plus(t_139,n1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),[]).
% 
% cnf(166304016,plain,(~gt(fifo_length,wr_level(plus(t_139,n1)))),inference(rewrite,[status(thm)],[quest_2]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[166308128,166295408,165738720,166304016,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------