TSTP Solution File: MGT041+2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT041+2 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 14:03:06 EDT 2009

% Result   : Theorem 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   44 (  22   ~;  19   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (   1 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(a16,plain,
    ( organisation_at_time(x,t)
    & founding_time(x,t)
    & number_of_routines(x,t,high)
    & ~ has_elaborated_routines(x,t) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041+2.tptp',unknown),
    [] ).

cnf(165245920,plain,
    founding_time(x,t),
    inference(rewrite,[status(thm)],[a16]),
    [] ).

cnf(165259152,plain,
    organisation_at_time(x,t),
    inference(rewrite,[status(thm)],[a16]),
    [] ).

fof(a14,plain,
    ! [A,B] :
      ( ~ organisation_at_time(A,B)
      | ~ efficient_producer(A)
      | ~ founding_time(A,B)
      | has_elaborated_routines(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041+2.tptp',unknown),
    [] ).

cnf(165205856,plain,
    ( ~ organisation_at_time(A,B)
    | ~ efficient_producer(A)
    | ~ founding_time(A,B)
    | has_elaborated_routines(A,B) ),
    inference(rewrite,[status(thm)],[a14]),
    [] ).

cnf(165227672,plain,
    ~ has_elaborated_routines(x,t),
    inference(rewrite,[status(thm)],[a16]),
    [] ).

cnf(173150624,plain,
    ~ efficient_producer(x),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[165245920,165259152,165205856,165227672]),
    [] ).

fof(prove_t10,plain,
    ! [A,B] :
      ( ~ organisation_at_time(A,B)
      | first_mover(A)
      | efficient_producer(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041+2.tptp',unknown),
    [] ).

cnf(165271688,plain,
    ( ~ organisation_at_time(A,B)
    | first_mover(A)
    | efficient_producer(A) ),
    inference(rewrite,[status(thm)],[prove_t10]),
    [] ).

cnf(173128376,plain,
    ( first_mover(x)
    | efficient_producer(x) ),
    inference(resolution,[status(thm)],[165271688,165259152]),
    [] ).

cnf(173195752,plain,
    first_mover(x),
    inference(resolution,[status(thm)],[173150624,173128376]),
    [] ).

fof(a15,plain,
    ! [A,B] :
      ( ~ organisation_at_time(A,B)
      | ~ first_mover(A)
      | ~ founding_time(A,B)
      | number_of_routines(A,B,low) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041+2.tptp',unknown),
    [] ).

cnf(165218600,plain,
    ( ~ organisation_at_time(A,B)
    | ~ first_mover(A)
    | ~ founding_time(A,B)
    | number_of_routines(A,B,low) ),
    inference(rewrite,[status(thm)],[a15]),
    [] ).

fof(mp_not_high_and_low,plain,
    ! [A,B] :
      ( ~ number_of_routines(A,B,low)
      | ~ number_of_routines(A,B,high) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041+2.tptp',unknown),
    [] ).

cnf(165195528,plain,
    ( ~ number_of_routines(A,B,low)
    | ~ number_of_routines(A,B,high) ),
    inference(rewrite,[status(thm)],[mp_not_high_and_low]),
    [] ).

cnf(165236864,plain,
    number_of_routines(x,t,high),
    inference(rewrite,[status(thm)],[a16]),
    [] ).

cnf(173140624,plain,
    ~ number_of_routines(x,t,low),
    inference(resolution,[status(thm)],[165195528,165236864]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173195752,165245920,165259152,165218600,173140624]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(a16,plain,((organisation_at_time(x,t)&founding_time(x,t)&number_of_routines(x,t,high)&~has_elaborated_routines(x,t))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041+2.tptp',unknown),[]).
% 
% cnf(165245920,plain,(founding_time(x,t)),inference(rewrite,[status(thm)],[a16]),[]).
% 
% cnf(165259152,plain,(organisation_at_time(x,t)),inference(rewrite,[status(thm)],[a16]),[]).
% 
% fof(a14,plain,(~organisation_at_time(A,B)|~efficient_producer(A)|~founding_time(A,B)|has_elaborated_routines(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041+2.tptp',unknown),[]).
% 
% cnf(165205856,plain,(~organisation_at_time(A,B)|~efficient_producer(A)|~founding_time(A,B)|has_elaborated_routines(A,B)),inference(rewrite,[status(thm)],[a14]),[]).
% 
% cnf(165227672,plain,(~has_elaborated_routines(x,t)),inference(rewrite,[status(thm)],[a16]),[]).
% 
% cnf(173150624,plain,(~efficient_producer(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[165245920,165259152,165205856,165227672]),[]).
% 
% fof(prove_t10,plain,(~organisation_at_time(A,B)|first_mover(A)|efficient_producer(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041+2.tptp',unknown),[]).
% 
% cnf(165271688,plain,(~organisation_at_time(A,B)|first_mover(A)|efficient_producer(A)),inference(rewrite,[status(thm)],[prove_t10]),[]).
% 
% cnf(173128376,plain,(first_mover(x)|efficient_producer(x)),inference(resolution,[status(thm)],[165271688,165259152]),[]).
% 
% cnf(173195752,plain,(first_mover(x)),inference(resolution,[status(thm)],[173150624,173128376]),[]).
% 
% fof(a15,plain,(~organisation_at_time(A,B)|~first_mover(A)|~founding_time(A,B)|number_of_routines(A,B,low)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041+2.tptp',unknown),[]).
% 
% cnf(165218600,plain,(~organisation_at_time(A,B)|~first_mover(A)|~founding_time(A,B)|number_of_routines(A,B,low)),inference(rewrite,[status(thm)],[a15]),[]).
% 
% fof(mp_not_high_and_low,plain,(~number_of_routines(A,B,low)|~number_of_routines(A,B,high)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041+2.tptp',unknown),[]).
% 
% cnf(165195528,plain,(~number_of_routines(A,B,low)|~number_of_routines(A,B,high)),inference(rewrite,[status(thm)],[mp_not_high_and_low]),[]).
% 
% cnf(165236864,plain,(number_of_routines(x,t,high)),inference(rewrite,[status(thm)],[a16]),[]).
% 
% cnf(173140624,plain,(~number_of_routines(x,t,low)),inference(resolution,[status(thm)],[165195528,165236864]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173195752,165245920,165259152,165218600,173140624]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------