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 v2.4.0.
% 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   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (  13 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   46 (  25   ~;  21   |;   0   &)
%                                         (   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   :   18 (   2 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(mp_not_high_and_low_1,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(159291568,plain,
    ( ~ number_of_routines(A,B,low)
    | ~ number_of_routines(A,B,high) ),
    inference(rewrite,[status(thm)],[mp_not_high_and_low_1]),
    [] ).

fof(a16_6,plain,
    number_of_routines(sk1,sk2,high),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041-2.tptp',unknown),
    [] ).

cnf(159287272,plain,
    number_of_routines(sk1,sk2,high),
    inference(rewrite,[status(thm)],[a16_6]),
    [] ).

cnf(167202000,plain,
    ~ number_of_routines(sk1,sk2,low),
    inference(resolution,[status(thm)],[159291568,159287272]),
    [] ).

fof(a16_5,plain,
    founding_time(sk1,sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041-2.tptp',unknown),
    [] ).

cnf(159324168,plain,
    founding_time(sk1,sk2),
    inference(rewrite,[status(thm)],[a16_5]),
    [] ).

fof(a15_3,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(159314512,plain,
    ( ~ organisation_at_time(A,B)
    | ~ first_mover(A)
    | ~ founding_time(A,B)
    | number_of_routines(A,B,low) ),
    inference(rewrite,[status(thm)],[a15_3]),
    [] ).

fof(prove_t10_8,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(159344584,plain,
    ( ~ organisation_at_time(A,B)
    | first_mover(A)
    | efficient_producer(A) ),
    inference(rewrite,[status(thm)],[prove_t10_8]),
    [] ).

fof(a16_4,plain,
    organisation_at_time(sk1,sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041-2.tptp',unknown),
    [] ).

cnf(159319320,plain,
    organisation_at_time(sk1,sk2),
    inference(rewrite,[status(thm)],[a16_4]),
    [] ).

fof(a14_2,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(159301832,plain,
    ( ~ organisation_at_time(A,B)
    | ~ efficient_producer(A)
    | ~ founding_time(A,B)
    | has_elaborated_routines(A,B) ),
    inference(rewrite,[status(thm)],[a14_2]),
    [] ).

fof(a16_7,plain,
    ~ has_elaborated_routines(sk1,sk2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041-2.tptp',unknown),
    [] ).

cnf(159333864,plain,
    ~ has_elaborated_routines(sk1,sk2),
    inference(rewrite,[status(thm)],[a16_7]),
    [] ).

cnf(167210776,plain,
    ~ efficient_producer(sk1),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[159324168,159319320,159301832,159333864]),
    [] ).

cnf(167226928,plain,
    ( ~ organisation_at_time(sk1,A)
    | first_mover(sk1) ),
    inference(resolution,[status(thm)],[159344584,167210776]),
    [] ).

cnf(167231816,plain,
    first_mover(sk1),
    inference(resolution,[status(thm)],[167226928,159319320]),
    [] ).

cnf(167252096,plain,
    ( ~ organisation_at_time(sk1,A)
    | ~ founding_time(sk1,A)
    | number_of_routines(sk1,A,low) ),
    inference(resolution,[status(thm)],[159314512,167231816]),
    [] ).

cnf(167257016,plain,
    number_of_routines(sk1,sk2,low),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[159324168,167252096,159319320]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[167202000,167257016]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(mp_not_high_and_low_1,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(159291568,plain,(~number_of_routines(A,B,low)|~number_of_routines(A,B,high)),inference(rewrite,[status(thm)],[mp_not_high_and_low_1]),[]).
% 
% fof(a16_6,plain,(number_of_routines(sk1,sk2,high)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041-2.tptp',unknown),[]).
% 
% cnf(159287272,plain,(number_of_routines(sk1,sk2,high)),inference(rewrite,[status(thm)],[a16_6]),[]).
% 
% cnf(167202000,plain,(~number_of_routines(sk1,sk2,low)),inference(resolution,[status(thm)],[159291568,159287272]),[]).
% 
% fof(a16_5,plain,(founding_time(sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041-2.tptp',unknown),[]).
% 
% cnf(159324168,plain,(founding_time(sk1,sk2)),inference(rewrite,[status(thm)],[a16_5]),[]).
% 
% fof(a15_3,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(159314512,plain,(~organisation_at_time(A,B)|~first_mover(A)|~founding_time(A,B)|number_of_routines(A,B,low)),inference(rewrite,[status(thm)],[a15_3]),[]).
% 
% fof(prove_t10_8,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(159344584,plain,(~organisation_at_time(A,B)|first_mover(A)|efficient_producer(A)),inference(rewrite,[status(thm)],[prove_t10_8]),[]).
% 
% fof(a16_4,plain,(organisation_at_time(sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041-2.tptp',unknown),[]).
% 
% cnf(159319320,plain,(organisation_at_time(sk1,sk2)),inference(rewrite,[status(thm)],[a16_4]),[]).
% 
% fof(a14_2,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(159301832,plain,(~organisation_at_time(A,B)|~efficient_producer(A)|~founding_time(A,B)|has_elaborated_routines(A,B)),inference(rewrite,[status(thm)],[a14_2]),[]).
% 
% fof(a16_7,plain,(~has_elaborated_routines(sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT041-2.tptp',unknown),[]).
% 
% cnf(159333864,plain,(~has_elaborated_routines(sk1,sk2)),inference(rewrite,[status(thm)],[a16_7]),[]).
% 
% cnf(167210776,plain,(~efficient_producer(sk1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[159324168,159319320,159301832,159333864]),[]).
% 
% cnf(167226928,plain,(~organisation_at_time(sk1,A)|first_mover(sk1)),inference(resolution,[status(thm)],[159344584,167210776]),[]).
% 
% cnf(167231816,plain,(first_mover(sk1)),inference(resolution,[status(thm)],[167226928,159319320]),[]).
% 
% cnf(167252096,plain,(~organisation_at_time(sk1,A)|~founding_time(sk1,A)|number_of_routines(sk1,A,low)),inference(resolution,[status(thm)],[159314512,167231816]),[]).
% 
% cnf(167257016,plain,(number_of_routines(sk1,sk2,low)),inference(forward_subsumption_resolution__resolution,[status(thm)],[159324168,167252096,159319320]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167202000,167257016]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------