TSTP Solution File: MGT018-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT018-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 14:00:29 EDT 2009

% Result   : Unsatisfiable 1.1s
% Output   : Refutation 1.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   44 (  30 unt;   0 def)
%            Number of atoms       :  136 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  185 (  93   ~;  92   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :   75 (   3 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(mp5_1,plain,
    ! [A,B] :
      ( ~ organization(A,B)
      | inertia(A,sk1(B,A),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152567584,plain,
    ( ~ organization(A,B)
    | inertia(A,sk1(B,A),B) ),
    inference(rewrite,[status(thm)],[mp5_1]),
    [] ).

fof(t18_FOL_5,plain,
    organization(sk3,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152672696,plain,
    organization(sk3,sk8),
    inference(rewrite,[status(thm)],[t18_FOL_5]),
    [] ).

cnf(192589328,plain,
    inertia(sk3,sk1(sk8,sk3),sk8),
    inference(resolution,[status(thm)],[152567584,152672696]),
    [] ).

fof(t18_FOL_4,plain,
    organization(sk2,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152563088,plain,
    organization(sk2,sk8),
    inference(rewrite,[status(thm)],[t18_FOL_4]),
    [] ).

cnf(192357184,plain,
    inertia(sk2,sk1(sk8,sk2),sk8),
    inference(resolution,[status(thm)],[152567584,152563088]),
    [] ).

fof(t18_FOL_8,plain,
    class(sk3,sk5,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152685912,plain,
    class(sk3,sk5,sk8),
    inference(rewrite,[status(thm)],[t18_FOL_8]),
    [] ).

fof(t18_FOL_13,plain,
    size(sk2,sk6,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152562456,plain,
    size(sk2,sk6,sk8),
    inference(rewrite,[status(thm)],[t18_FOL_13]),
    [] ).

fof(t18_FOL_14,plain,
    size(sk3,sk7,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152725152,plain,
    size(sk3,sk7,sk8),
    inference(rewrite,[status(thm)],[t18_FOL_14]),
    [] ).

fof(a5_FOL_2,plain,
    ! [A,B,C,D,E,F,G,H,I] :
      ( ~ organization(A,B)
      | ~ organization(C,D)
      | ~ class(A,E,B)
      | ~ class(C,E,D)
      | ~ size(A,F,B)
      | ~ size(C,G,D)
      | ~ inertia(A,H,B)
      | ~ inertia(C,I,D)
      | ~ greater(G,F)
      | greater(I,H) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152618160,plain,
    ( ~ organization(A,B)
    | ~ organization(C,D)
    | ~ class(A,E,B)
    | ~ class(C,E,D)
    | ~ size(A,F,B)
    | ~ size(C,G,D)
    | ~ inertia(A,H,B)
    | ~ inertia(C,I,D)
    | ~ greater(G,F)
    | greater(I,H) ),
    inference(rewrite,[status(thm)],[a5_FOL_2]),
    [] ).

fof(t18_FOL_15,plain,
    greater(sk7,sk6),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152729792,plain,
    greater(sk7,sk6),
    inference(rewrite,[status(thm)],[t18_FOL_15]),
    [] ).

cnf(192861408,plain,
    ( ~ organization(A,B)
    | ~ organization(C,D)
    | ~ class(A,E,B)
    | ~ class(C,E,D)
    | ~ size(A,sk6,B)
    | ~ size(C,sk7,D)
    | ~ inertia(A,F,B)
    | ~ inertia(C,G,D)
    | greater(G,F) ),
    inference(resolution,[status(thm)],[152618160,152729792]),
    [] ).

cnf(192907320,plain,
    ( ~ organization(A,B)
    | ~ class(A,C,B)
    | ~ class(sk3,C,sk8)
    | ~ size(A,sk6,B)
    | ~ inertia(A,D,B)
    | ~ inertia(sk3,E,sk8)
    | greater(E,D) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152725152,192861408,152672696]),
    [] ).

cnf(192921384,plain,
    ( ~ class(sk2,A,sk8)
    | ~ class(sk3,A,sk8)
    | ~ inertia(sk2,B,sk8)
    | ~ inertia(sk3,C,sk8)
    | greater(C,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152562456,192907320,152563088]),
    [] ).

fof(t18_FOL_7,plain,
    class(sk2,sk5,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152681512,plain,
    class(sk2,sk5,sk8),
    inference(rewrite,[status(thm)],[t18_FOL_7]),
    [] ).

cnf(193108992,plain,
    ( ~ inertia(sk2,A,sk8)
    | ~ inertia(sk3,B,sk8)
    | greater(B,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152685912,192921384,152681512]),
    [] ).

fof(t18_FOL_16,plain,
    ~ greater(sk9,sk10),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152734928,plain,
    ~ greater(sk9,sk10),
    inference(rewrite,[status(thm)],[t18_FOL_16]),
    [] ).

fof(t18_FOL_10,plain,
    reorganization(sk3,sk8,sk10),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152703080,plain,
    reorganization(sk3,sk8,sk10),
    inference(rewrite,[status(thm)],[t18_FOL_10]),
    [] ).

fof(t18_FOL_12,plain,
    reorganization_type(sk3,sk4,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152712040,plain,
    reorganization_type(sk3,sk4,sk8),
    inference(rewrite,[status(thm)],[t18_FOL_12]),
    [] ).

fof(a14_FOL_3,plain,
    ! [A,B,C,D,E,F,G,H,I] :
      ( ~ organization(A,B)
      | ~ organization(C,B)
      | organization(C,D)
      | ~ class(A,E,B)
      | ~ class(C,E,B)
      | ~ reorganization(A,B,F)
      | ~ reorganization(C,B,D)
      | ~ reorganization_type(A,G,B)
      | ~ reorganization_type(C,G,B)
      | ~ inertia(A,H,B)
      | ~ inertia(C,I,B)
      | ~ greater(I,H)
      | greater(F,D) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152659624,plain,
    ( ~ organization(A,B)
    | ~ organization(C,B)
    | organization(C,D)
    | ~ class(A,E,B)
    | ~ class(C,E,B)
    | ~ reorganization(A,B,F)
    | ~ reorganization(C,B,D)
    | ~ reorganization_type(A,G,B)
    | ~ reorganization_type(C,G,B)
    | ~ inertia(A,H,B)
    | ~ inertia(C,I,B)
    | ~ greater(I,H)
    | greater(F,D) ),
    inference(rewrite,[status(thm)],[a14_FOL_3]),
    [] ).

fof(t18_FOL_9,plain,
    reorganization(sk2,sk8,sk9),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152698760,plain,
    reorganization(sk2,sk8,sk9),
    inference(rewrite,[status(thm)],[t18_FOL_9]),
    [] ).

cnf(197050016,plain,
    ( ~ organization(A,sk8)
    | organization(A,B)
    | ~ class(sk2,C,sk8)
    | ~ class(A,C,sk8)
    | ~ reorganization(A,sk8,B)
    | ~ reorganization_type(sk2,D,sk8)
    | ~ reorganization_type(A,D,sk8)
    | ~ inertia(sk2,E,sk8)
    | ~ inertia(A,F,sk8)
    | ~ greater(F,E)
    | greater(sk9,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152563088,152659624,152698760]),
    [] ).

cnf(197479432,plain,
    ( ~ organization(A,sk8)
    | organization(A,B)
    | ~ class(A,sk5,sk8)
    | ~ reorganization(A,sk8,B)
    | ~ reorganization_type(sk2,C,sk8)
    | ~ reorganization_type(A,C,sk8)
    | ~ inertia(sk2,D,sk8)
    | ~ inertia(A,E,sk8)
    | ~ greater(E,D)
    | greater(sk9,B) ),
    inference(resolution,[status(thm)],[197050016,152681512]),
    [] ).

fof(t18_FOL_11,plain,
    reorganization_type(sk2,sk4,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152707768,plain,
    reorganization_type(sk2,sk4,sk8),
    inference(rewrite,[status(thm)],[t18_FOL_11]),
    [] ).

cnf(198045592,plain,
    ( ~ organization(A,sk8)
    | organization(A,B)
    | ~ class(A,sk5,sk8)
    | ~ reorganization(A,sk8,B)
    | ~ reorganization_type(A,sk4,sk8)
    | ~ inertia(sk2,C,sk8)
    | ~ inertia(A,D,sk8)
    | ~ greater(D,C)
    | greater(sk9,B) ),
    inference(resolution,[status(thm)],[197479432,152707768]),
    [] ).

fof(t18_FOL_6,plain,
    ~ organization(sk3,sk10),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),
    [] ).

cnf(152676600,plain,
    ~ organization(sk3,sk10),
    inference(rewrite,[status(thm)],[t18_FOL_6]),
    [] ).

cnf(198055672,plain,
    ( ~ inertia(sk2,A,sk8)
    | ~ inertia(sk3,B,sk8) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[193108992,152685912,152734928,152672696,152703080,152712040,198045592,152676600]),
    [] ).

cnf(205338648,plain,
    ~ inertia(sk3,A,sk8),
    inference(resolution,[status(thm)],[192357184,198055672]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[192589328,205338648]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(mp5_1,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152567584,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),inference(rewrite,[status(thm)],[mp5_1]),[]).
% 
% fof(t18_FOL_5,plain,(organization(sk3,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152672696,plain,(organization(sk3,sk8)),inference(rewrite,[status(thm)],[t18_FOL_5]),[]).
% 
% cnf(192589328,plain,(inertia(sk3,sk1(sk8,sk3),sk8)),inference(resolution,[status(thm)],[152567584,152672696]),[]).
% 
% fof(t18_FOL_4,plain,(organization(sk2,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152563088,plain,(organization(sk2,sk8)),inference(rewrite,[status(thm)],[t18_FOL_4]),[]).
% 
% cnf(192357184,plain,(inertia(sk2,sk1(sk8,sk2),sk8)),inference(resolution,[status(thm)],[152567584,152563088]),[]).
% 
% fof(t18_FOL_8,plain,(class(sk3,sk5,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152685912,plain,(class(sk3,sk5,sk8)),inference(rewrite,[status(thm)],[t18_FOL_8]),[]).
% 
% fof(t18_FOL_13,plain,(size(sk2,sk6,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152562456,plain,(size(sk2,sk6,sk8)),inference(rewrite,[status(thm)],[t18_FOL_13]),[]).
% 
% fof(t18_FOL_14,plain,(size(sk3,sk7,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152725152,plain,(size(sk3,sk7,sk8)),inference(rewrite,[status(thm)],[t18_FOL_14]),[]).
% 
% fof(a5_FOL_2,plain,(~organization(A,B)|~organization(C,D)|~class(A,E,B)|~class(C,E,D)|~size(A,F,B)|~size(C,G,D)|~inertia(A,H,B)|~inertia(C,I,D)|~greater(G,F)|greater(I,H)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152618160,plain,(~organization(A,B)|~organization(C,D)|~class(A,E,B)|~class(C,E,D)|~size(A,F,B)|~size(C,G,D)|~inertia(A,H,B)|~inertia(C,I,D)|~greater(G,F)|greater(I,H)),inference(rewrite,[status(thm)],[a5_FOL_2]),[]).
% 
% fof(t18_FOL_15,plain,(greater(sk7,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152729792,plain,(greater(sk7,sk6)),inference(rewrite,[status(thm)],[t18_FOL_15]),[]).
% 
% cnf(192861408,plain,(~organization(A,B)|~organization(C,D)|~class(A,E,B)|~class(C,E,D)|~size(A,sk6,B)|~size(C,sk7,D)|~inertia(A,F,B)|~inertia(C,G,D)|greater(G,F)),inference(resolution,[status(thm)],[152618160,152729792]),[]).
% 
% cnf(192907320,plain,(~organization(A,B)|~class(A,C,B)|~class(sk3,C,sk8)|~size(A,sk6,B)|~inertia(A,D,B)|~inertia(sk3,E,sk8)|greater(E,D)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152725152,192861408,152672696]),[]).
% 
% cnf(192921384,plain,(~class(sk2,A,sk8)|~class(sk3,A,sk8)|~inertia(sk2,B,sk8)|~inertia(sk3,C,sk8)|greater(C,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152562456,192907320,152563088]),[]).
% 
% fof(t18_FOL_7,plain,(class(sk2,sk5,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152681512,plain,(class(sk2,sk5,sk8)),inference(rewrite,[status(thm)],[t18_FOL_7]),[]).
% 
% cnf(193108992,plain,(~inertia(sk2,A,sk8)|~inertia(sk3,B,sk8)|greater(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152685912,192921384,152681512]),[]).
% 
% fof(t18_FOL_16,plain,(~greater(sk9,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152734928,plain,(~greater(sk9,sk10)),inference(rewrite,[status(thm)],[t18_FOL_16]),[]).
% 
% fof(t18_FOL_10,plain,(reorganization(sk3,sk8,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152703080,plain,(reorganization(sk3,sk8,sk10)),inference(rewrite,[status(thm)],[t18_FOL_10]),[]).
% 
% fof(t18_FOL_12,plain,(reorganization_type(sk3,sk4,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152712040,plain,(reorganization_type(sk3,sk4,sk8)),inference(rewrite,[status(thm)],[t18_FOL_12]),[]).
% 
% fof(a14_FOL_3,plain,(~organization(A,B)|~organization(C,B)|organization(C,D)|~class(A,E,B)|~class(C,E,B)|~reorganization(A,B,F)|~reorganization(C,B,D)|~reorganization_type(A,G,B)|~reorganization_type(C,G,B)|~inertia(A,H,B)|~inertia(C,I,B)|~greater(I,H)|greater(F,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152659624,plain,(~organization(A,B)|~organization(C,B)|organization(C,D)|~class(A,E,B)|~class(C,E,B)|~reorganization(A,B,F)|~reorganization(C,B,D)|~reorganization_type(A,G,B)|~reorganization_type(C,G,B)|~inertia(A,H,B)|~inertia(C,I,B)|~greater(I,H)|greater(F,D)),inference(rewrite,[status(thm)],[a14_FOL_3]),[]).
% 
% fof(t18_FOL_9,plain,(reorganization(sk2,sk8,sk9)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152698760,plain,(reorganization(sk2,sk8,sk9)),inference(rewrite,[status(thm)],[t18_FOL_9]),[]).
% 
% cnf(197050016,plain,(~organization(A,sk8)|organization(A,B)|~class(sk2,C,sk8)|~class(A,C,sk8)|~reorganization(A,sk8,B)|~reorganization_type(sk2,D,sk8)|~reorganization_type(A,D,sk8)|~inertia(sk2,E,sk8)|~inertia(A,F,sk8)|~greater(F,E)|greater(sk9,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152563088,152659624,152698760]),[]).
% 
% cnf(197479432,plain,(~organization(A,sk8)|organization(A,B)|~class(A,sk5,sk8)|~reorganization(A,sk8,B)|~reorganization_type(sk2,C,sk8)|~reorganization_type(A,C,sk8)|~inertia(sk2,D,sk8)|~inertia(A,E,sk8)|~greater(E,D)|greater(sk9,B)),inference(resolution,[status(thm)],[197050016,152681512]),[]).
% 
% fof(t18_FOL_11,plain,(reorganization_type(sk2,sk4,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152707768,plain,(reorganization_type(sk2,sk4,sk8)),inference(rewrite,[status(thm)],[t18_FOL_11]),[]).
% 
% cnf(198045592,plain,(~organization(A,sk8)|organization(A,B)|~class(A,sk5,sk8)|~reorganization(A,sk8,B)|~reorganization_type(A,sk4,sk8)|~inertia(sk2,C,sk8)|~inertia(A,D,sk8)|~greater(D,C)|greater(sk9,B)),inference(resolution,[status(thm)],[197479432,152707768]),[]).
% 
% fof(t18_FOL_6,plain,(~organization(sk3,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018-1.tptp',unknown),[]).
% 
% cnf(152676600,plain,(~organization(sk3,sk10)),inference(rewrite,[status(thm)],[t18_FOL_6]),[]).
% 
% cnf(198055672,plain,(~inertia(sk2,A,sk8)|~inertia(sk3,B,sk8)),inference(forward_subsumption_resolution__resolution,[status(thm)],[193108992,152685912,152734928,152672696,152703080,152712040,198045592,152676600]),[]).
% 
% cnf(205338648,plain,(~inertia(sk3,A,sk8)),inference(resolution,[status(thm)],[192357184,198055672]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[192589328,205338648]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------