TSTP Solution File: MGT002-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT002-1 : 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 13:59:08 EDT 2009

% Result   : Unsatisfiable 0.8s
% Output   : Refutation 0.8s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   34 (  20 unt;   0 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  104 (  54   ~;  50   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   55 (   5 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(mp3_1,plain,
    ! [A,B] :
      ( ~ organization(A,B)
      | reproducibility(A,sk1(B,A),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166330304,plain,
    ( ~ organization(A,B)
    | reproducibility(A,sk1(B,A),B) ),
    inference(rewrite,[status(thm)],[mp3_1]),
    [] ).

fof(t2_FOL_8,plain,
    organization(sk2,sk6),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166409904,plain,
    organization(sk2,sk6),
    inference(rewrite,[status(thm)],[t2_FOL_8]),
    [] ).

cnf(190267360,plain,
    reproducibility(sk2,sk1(sk6,sk2),sk6),
    inference(resolution,[status(thm)],[166330304,166409904]),
    [] ).

fof(t2_FOL_7,plain,
    organization(sk2,sk5),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166325200,plain,
    organization(sk2,sk5),
    inference(rewrite,[status(thm)],[t2_FOL_7]),
    [] ).

cnf(190065944,plain,
    reproducibility(sk2,sk1(sk5,sk2),sk5),
    inference(resolution,[status(thm)],[166330304,166325200]),
    [] ).

fof(t2_FOL_12,plain,
    greater(sk6,sk5),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166432000,plain,
    greater(sk6,sk5),
    inference(rewrite,[status(thm)],[t2_FOL_12]),
    [] ).

fof(t2_FOL_9,plain,
    reorganization_free(sk2,sk5,sk6),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166418488,plain,
    reorganization_free(sk2,sk5,sk6),
    inference(rewrite,[status(thm)],[t2_FOL_9]),
    [] ).

fof(a4_FOL_6,plain,
    ! [A,B,C,D,E] :
      ( ~ organization(A,B)
      | ~ organization(A,C)
      | ~ reorganization_free(A,B,C)
      | ~ reproducibility(A,D,B)
      | ~ reproducibility(A,E,C)
      | ~ greater(C,B)
      | greater(E,D) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166401528,plain,
    ( ~ organization(A,B)
    | ~ organization(A,C)
    | ~ reorganization_free(A,B,C)
    | ~ reproducibility(A,D,B)
    | ~ reproducibility(A,E,C)
    | ~ greater(C,B)
    | greater(E,D) ),
    inference(rewrite,[status(thm)],[a4_FOL_6]),
    [] ).

cnf(190371296,plain,
    ( ~ organization(sk2,A)
    | ~ reorganization_free(sk2,A,sk6)
    | ~ reproducibility(sk2,B,A)
    | ~ reproducibility(sk2,C,sk6)
    | ~ greater(sk6,A)
    | greater(C,B) ),
    inference(resolution,[status(thm)],[166401528,166409904]),
    [] ).

cnf(190383888,plain,
    ( ~ reproducibility(sk2,A,sk5)
    | ~ reproducibility(sk2,B,sk6)
    | greater(B,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166432000,166418488,190371296,166325200]),
    [] ).

fof(t2_FOL_13,plain,
    ~ greater(sk4,sk3),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166436912,plain,
    ~ greater(sk4,sk3),
    inference(rewrite,[status(thm)],[t2_FOL_13]),
    [] ).

fof(mp4_2,plain,
    ! [A,B,C] :
      ( ~ reorganization_free(A,B,C)
      | reorganization_free(A,B,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166337104,plain,
    ( ~ reorganization_free(A,B,C)
    | reorganization_free(A,B,B) ),
    inference(rewrite,[status(thm)],[mp4_2]),
    [] ).

cnf(190583432,plain,
    reorganization_free(sk2,sk5,sk5),
    inference(resolution,[status(thm)],[166337104,166418488]),
    [] ).

fof(mp4_3,plain,
    ! [A,B,C] :
      ( ~ reorganization_free(A,B,C)
      | reorganization_free(A,C,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166341480,plain,
    ( ~ reorganization_free(A,B,C)
    | reorganization_free(A,C,C) ),
    inference(rewrite,[status(thm)],[mp4_3]),
    [] ).

cnf(190587864,plain,
    reorganization_free(sk2,sk6,sk6),
    inference(resolution,[status(thm)],[166341480,166418488]),
    [] ).

fof(a3_FOL_4,plain,
    ! [A,B,C,D,E,F,G,H] :
      ( ~ organization(A,B)
      | ~ organization(C,D)
      | ~ reorganization_free(A,B,B)
      | ~ reorganization_free(C,D,D)
      | ~ reproducibility(A,E,B)
      | ~ reproducibility(C,F,D)
      | ~ inertia(A,G,B)
      | ~ inertia(C,H,D)
      | ~ greater(F,E)
      | greater(H,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166382016,plain,
    ( ~ organization(A,B)
    | ~ organization(C,D)
    | ~ reorganization_free(A,B,B)
    | ~ reorganization_free(C,D,D)
    | ~ reproducibility(A,E,B)
    | ~ reproducibility(C,F,D)
    | ~ inertia(A,G,B)
    | ~ inertia(C,H,D)
    | ~ greater(F,E)
    | greater(H,G) ),
    inference(rewrite,[status(thm)],[a3_FOL_4]),
    [] ).

fof(t2_FOL_11,plain,
    inertia(sk2,sk4,sk6),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166427424,plain,
    inertia(sk2,sk4,sk6),
    inference(rewrite,[status(thm)],[t2_FOL_11]),
    [] ).

cnf(190689680,plain,
    ( ~ organization(A,B)
    | ~ reorganization_free(A,B,B)
    | ~ reproducibility(A,C,B)
    | ~ reproducibility(sk2,D,sk6)
    | ~ inertia(A,E,B)
    | ~ greater(D,C)
    | greater(sk4,E) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166409904,190587864,166382016,166427424]),
    [] ).

fof(t2_FOL_10,plain,
    inertia(sk2,sk3,sk5),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),
    [] ).

cnf(166423312,plain,
    inertia(sk2,sk3,sk5),
    inference(rewrite,[status(thm)],[t2_FOL_10]),
    [] ).

cnf(195731864,plain,
    ( ~ reproducibility(sk2,A,sk5)
    | ~ reproducibility(sk2,B,sk6) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[190383888,166436912,166325200,190583432,190689680,166423312]),
    [] ).

cnf(197300360,plain,
    ~ reproducibility(sk2,A,sk6),
    inference(resolution,[status(thm)],[190065944,195731864]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[190267360,197300360]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(mp3_1,plain,(~organization(A,B)|reproducibility(A,sk1(B,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166330304,plain,(~organization(A,B)|reproducibility(A,sk1(B,A),B)),inference(rewrite,[status(thm)],[mp3_1]),[]).
% 
% fof(t2_FOL_8,plain,(organization(sk2,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166409904,plain,(organization(sk2,sk6)),inference(rewrite,[status(thm)],[t2_FOL_8]),[]).
% 
% cnf(190267360,plain,(reproducibility(sk2,sk1(sk6,sk2),sk6)),inference(resolution,[status(thm)],[166330304,166409904]),[]).
% 
% fof(t2_FOL_7,plain,(organization(sk2,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166325200,plain,(organization(sk2,sk5)),inference(rewrite,[status(thm)],[t2_FOL_7]),[]).
% 
% cnf(190065944,plain,(reproducibility(sk2,sk1(sk5,sk2),sk5)),inference(resolution,[status(thm)],[166330304,166325200]),[]).
% 
% fof(t2_FOL_12,plain,(greater(sk6,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166432000,plain,(greater(sk6,sk5)),inference(rewrite,[status(thm)],[t2_FOL_12]),[]).
% 
% fof(t2_FOL_9,plain,(reorganization_free(sk2,sk5,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166418488,plain,(reorganization_free(sk2,sk5,sk6)),inference(rewrite,[status(thm)],[t2_FOL_9]),[]).
% 
% fof(a4_FOL_6,plain,(~organization(A,B)|~organization(A,C)|~reorganization_free(A,B,C)|~reproducibility(A,D,B)|~reproducibility(A,E,C)|~greater(C,B)|greater(E,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166401528,plain,(~organization(A,B)|~organization(A,C)|~reorganization_free(A,B,C)|~reproducibility(A,D,B)|~reproducibility(A,E,C)|~greater(C,B)|greater(E,D)),inference(rewrite,[status(thm)],[a4_FOL_6]),[]).
% 
% cnf(190371296,plain,(~organization(sk2,A)|~reorganization_free(sk2,A,sk6)|~reproducibility(sk2,B,A)|~reproducibility(sk2,C,sk6)|~greater(sk6,A)|greater(C,B)),inference(resolution,[status(thm)],[166401528,166409904]),[]).
% 
% cnf(190383888,plain,(~reproducibility(sk2,A,sk5)|~reproducibility(sk2,B,sk6)|greater(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166432000,166418488,190371296,166325200]),[]).
% 
% fof(t2_FOL_13,plain,(~greater(sk4,sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166436912,plain,(~greater(sk4,sk3)),inference(rewrite,[status(thm)],[t2_FOL_13]),[]).
% 
% fof(mp4_2,plain,(~reorganization_free(A,B,C)|reorganization_free(A,B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166337104,plain,(~reorganization_free(A,B,C)|reorganization_free(A,B,B)),inference(rewrite,[status(thm)],[mp4_2]),[]).
% 
% cnf(190583432,plain,(reorganization_free(sk2,sk5,sk5)),inference(resolution,[status(thm)],[166337104,166418488]),[]).
% 
% fof(mp4_3,plain,(~reorganization_free(A,B,C)|reorganization_free(A,C,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166341480,plain,(~reorganization_free(A,B,C)|reorganization_free(A,C,C)),inference(rewrite,[status(thm)],[mp4_3]),[]).
% 
% cnf(190587864,plain,(reorganization_free(sk2,sk6,sk6)),inference(resolution,[status(thm)],[166341480,166418488]),[]).
% 
% fof(a3_FOL_4,plain,(~organization(A,B)|~organization(C,D)|~reorganization_free(A,B,B)|~reorganization_free(C,D,D)|~reproducibility(A,E,B)|~reproducibility(C,F,D)|~inertia(A,G,B)|~inertia(C,H,D)|~greater(F,E)|greater(H,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166382016,plain,(~organization(A,B)|~organization(C,D)|~reorganization_free(A,B,B)|~reorganization_free(C,D,D)|~reproducibility(A,E,B)|~reproducibility(C,F,D)|~inertia(A,G,B)|~inertia(C,H,D)|~greater(F,E)|greater(H,G)),inference(rewrite,[status(thm)],[a3_FOL_4]),[]).
% 
% fof(t2_FOL_11,plain,(inertia(sk2,sk4,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166427424,plain,(inertia(sk2,sk4,sk6)),inference(rewrite,[status(thm)],[t2_FOL_11]),[]).
% 
% cnf(190689680,plain,(~organization(A,B)|~reorganization_free(A,B,B)|~reproducibility(A,C,B)|~reproducibility(sk2,D,sk6)|~inertia(A,E,B)|~greater(D,C)|greater(sk4,E)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166409904,190587864,166382016,166427424]),[]).
% 
% fof(t2_FOL_10,plain,(inertia(sk2,sk3,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002-1.tptp',unknown),[]).
% 
% cnf(166423312,plain,(inertia(sk2,sk3,sk5)),inference(rewrite,[status(thm)],[t2_FOL_10]),[]).
% 
% cnf(195731864,plain,(~reproducibility(sk2,A,sk5)|~reproducibility(sk2,B,sk6)),inference(forward_subsumption_resolution__resolution,[status(thm)],[190383888,166436912,166325200,190583432,190689680,166423312]),[]).
% 
% cnf(197300360,plain,(~reproducibility(sk2,A,sk6)),inference(resolution,[status(thm)],[190065944,195731864]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[190267360,197300360]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------