TSTP Solution File: MGT015-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT015-1 : 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 14:00:14 EDT 2009

% Result   : Unsatisfiable 3.2s
% Output   : Refutation 3.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   42 (  27 unt;   0 def)
%            Number of atoms       :  124 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  166 (  84   ~;  82   |;   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   :   68 (   2 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t15_FOL_9,plain,
    reorganization(sk2,sk8,sk9),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141278960,plain,
    reorganization(sk2,sk8,sk9),
    inference(rewrite,[status(thm)],[t15_FOL_9]),
    [] ).

fof(t15_FOL_5,plain,
    organization(sk3,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141261264,plain,
    organization(sk3,sk8),
    inference(rewrite,[status(thm)],[t15_FOL_5]),
    [] ).

fof(t15_FOL_10,plain,
    reorganization(sk3,sk8,sk10),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141291424,plain,
    reorganization(sk3,sk8,sk10),
    inference(rewrite,[status(thm)],[t15_FOL_10]),
    [] ).

fof(t15_FOL_15,plain,
    greater(sk7,sk6),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141318200,plain,
    greater(sk7,sk6),
    inference(rewrite,[status(thm)],[t15_FOL_15]),
    [] ).

fof(t15_FOL_4,plain,
    organization(sk2,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141151624,plain,
    organization(sk2,sk8),
    inference(rewrite,[status(thm)],[t15_FOL_4]),
    [] ).

fof(t15_FOL_7,plain,
    class(sk2,sk5,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141269888,plain,
    class(sk2,sk5,sk8),
    inference(rewrite,[status(thm)],[t15_FOL_7]),
    [] ).

fof(a12_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)
      | ~ complexity(A,F,B)
      | ~ complexity(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/MGT015-1.tptp',unknown),
    [] ).

cnf(141206696,plain,
    ( ~ organization(A,B)
    | ~ organization(C,D)
    | ~ class(A,E,B)
    | ~ class(C,E,D)
    | ~ complexity(A,F,B)
    | ~ complexity(C,G,D)
    | ~ inertia(A,H,B)
    | ~ inertia(C,I,D)
    | ~ greater(G,F)
    | greater(I,H) ),
    inference(rewrite,[status(thm)],[a12_FOL_2]),
    [] ).

fof(t15_FOL_8,plain,
    class(sk3,sk5,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141274288,plain,
    class(sk3,sk5,sk8),
    inference(rewrite,[status(thm)],[t15_FOL_8]),
    [] ).

cnf(181820640,plain,
    ( ~ organization(A,B)
    | ~ class(A,sk5,B)
    | ~ complexity(A,C,B)
    | ~ complexity(sk3,D,sk8)
    | ~ inertia(A,E,B)
    | ~ inertia(sk3,F,sk8)
    | ~ greater(D,C)
    | greater(F,E) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[141261264,141206696,141274288]),
    [] ).

fof(t15_FOL_13,plain,
    complexity(sk2,sk6,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141150992,plain,
    complexity(sk2,sk6,sk8),
    inference(rewrite,[status(thm)],[t15_FOL_13]),
    [] ).

cnf(182101488,plain,
    ( ~ complexity(sk3,A,sk8)
    | ~ inertia(sk2,B,sk8)
    | ~ inertia(sk3,C,sk8)
    | ~ greater(A,sk6)
    | greater(C,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[141269888,141151624,181820640,141150992]),
    [] ).

fof(mp5_1,plain,
    ! [A,B] :
      ( ~ organization(A,B)
      | inertia(A,sk1(B,A),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141156120,plain,
    ( ~ organization(A,B)
    | inertia(A,sk1(B,A),B) ),
    inference(rewrite,[status(thm)],[mp5_1]),
    [] ).

cnf(194475088,plain,
    ( ~ complexity(sk3,A,sk8)
    | ~ inertia(sk3,B,sk8)
    | ~ greater(A,sk6)
    | greater(B,sk1(sk8,sk2)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[141151624,182101488,141156120]),
    [] ).

fof(t15_FOL_14,plain,
    complexity(sk3,sk7,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141313512,plain,
    complexity(sk3,sk7,sk8),
    inference(rewrite,[status(thm)],[t15_FOL_14]),
    [] ).

cnf(194490472,plain,
    ( ~ inertia(sk3,A,sk8)
    | greater(A,sk1(sk8,sk2)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[141318200,194475088,141313512]),
    [] ).

fof(t15_FOL_12,plain,
    reorganization_type(sk3,sk4,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141300352,plain,
    reorganization_type(sk3,sk4,sk8),
    inference(rewrite,[status(thm)],[t15_FOL_12]),
    [] ).

fof(a13_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(D,F) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141248160,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(D,F) ),
    inference(rewrite,[status(thm)],[a13_FOL_3]),
    [] ).

cnf(181904432,plain,
    ( ~ organization(A,sk8)
    | ~ organization(sk3,B)
    | ~ class(A,sk5,sk8)
    | ~ reorganization(A,sk8,C)
    | ~ reorganization(sk3,sk8,B)
    | ~ reorganization_type(A,D,sk8)
    | ~ reorganization_type(sk3,D,sk8)
    | ~ inertia(A,E,sk8)
    | ~ inertia(sk3,F,sk8)
    | ~ greater(F,E)
    | greater(B,C) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[141261264,141248160,141274288]),
    [] ).

fof(t15_FOL_11,plain,
    reorganization_type(sk2,sk4,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141296112,plain,
    reorganization_type(sk2,sk4,sk8),
    inference(rewrite,[status(thm)],[t15_FOL_11]),
    [] ).

cnf(182025664,plain,
    ( ~ organization(sk3,A)
    | ~ reorganization(sk2,sk8,B)
    | ~ reorganization(sk3,sk8,A)
    | ~ inertia(sk2,C,sk8)
    | ~ inertia(sk3,D,sk8)
    | ~ greater(D,C)
    | greater(A,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[141269888,141151624,141300352,181904432,141296112]),
    [] ).

cnf(196879264,plain,
    ( ~ organization(sk3,A)
    | ~ reorganization(sk2,sk8,B)
    | ~ reorganization(sk3,sk8,A)
    | ~ inertia(sk3,C,sk8)
    | greater(A,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[194490472,141151624,182025664,141156120]),
    [] ).

fof(t15_FOL_6,plain,
    organization(sk3,sk10),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141265152,plain,
    organization(sk3,sk10),
    inference(rewrite,[status(thm)],[t15_FOL_6]),
    [] ).

cnf(196904920,plain,
    ( ~ reorganization(sk2,sk8,A)
    | ~ inertia(sk3,B,sk8)
    | greater(sk10,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[141291424,196879264,141265152]),
    [] ).

cnf(196934368,plain,
    ( ~ reorganization(sk2,sk8,A)
    | greater(sk10,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[141261264,196904920,141156120]),
    [] ).

fof(t15_FOL_16,plain,
    ~ greater(sk10,sk9),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),
    [] ).

cnf(141323304,plain,
    ~ greater(sk10,sk9),
    inference(rewrite,[status(thm)],[t15_FOL_16]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[141278960,196934368,141323304]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 3 seconds
% START OF PROOF SEQUENCE
% fof(t15_FOL_9,plain,(reorganization(sk2,sk8,sk9)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141278960,plain,(reorganization(sk2,sk8,sk9)),inference(rewrite,[status(thm)],[t15_FOL_9]),[]).
% 
% fof(t15_FOL_5,plain,(organization(sk3,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141261264,plain,(organization(sk3,sk8)),inference(rewrite,[status(thm)],[t15_FOL_5]),[]).
% 
% fof(t15_FOL_10,plain,(reorganization(sk3,sk8,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141291424,plain,(reorganization(sk3,sk8,sk10)),inference(rewrite,[status(thm)],[t15_FOL_10]),[]).
% 
% fof(t15_FOL_15,plain,(greater(sk7,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141318200,plain,(greater(sk7,sk6)),inference(rewrite,[status(thm)],[t15_FOL_15]),[]).
% 
% fof(t15_FOL_4,plain,(organization(sk2,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141151624,plain,(organization(sk2,sk8)),inference(rewrite,[status(thm)],[t15_FOL_4]),[]).
% 
% fof(t15_FOL_7,plain,(class(sk2,sk5,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141269888,plain,(class(sk2,sk5,sk8)),inference(rewrite,[status(thm)],[t15_FOL_7]),[]).
% 
% fof(a12_FOL_2,plain,(~organization(A,B)|~organization(C,D)|~class(A,E,B)|~class(C,E,D)|~complexity(A,F,B)|~complexity(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/MGT015-1.tptp',unknown),[]).
% 
% cnf(141206696,plain,(~organization(A,B)|~organization(C,D)|~class(A,E,B)|~class(C,E,D)|~complexity(A,F,B)|~complexity(C,G,D)|~inertia(A,H,B)|~inertia(C,I,D)|~greater(G,F)|greater(I,H)),inference(rewrite,[status(thm)],[a12_FOL_2]),[]).
% 
% fof(t15_FOL_8,plain,(class(sk3,sk5,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141274288,plain,(class(sk3,sk5,sk8)),inference(rewrite,[status(thm)],[t15_FOL_8]),[]).
% 
% cnf(181820640,plain,(~organization(A,B)|~class(A,sk5,B)|~complexity(A,C,B)|~complexity(sk3,D,sk8)|~inertia(A,E,B)|~inertia(sk3,F,sk8)|~greater(D,C)|greater(F,E)),inference(forward_subsumption_resolution__resolution,[status(thm)],[141261264,141206696,141274288]),[]).
% 
% fof(t15_FOL_13,plain,(complexity(sk2,sk6,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141150992,plain,(complexity(sk2,sk6,sk8)),inference(rewrite,[status(thm)],[t15_FOL_13]),[]).
% 
% cnf(182101488,plain,(~complexity(sk3,A,sk8)|~inertia(sk2,B,sk8)|~inertia(sk3,C,sk8)|~greater(A,sk6)|greater(C,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[141269888,141151624,181820640,141150992]),[]).
% 
% fof(mp5_1,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141156120,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),inference(rewrite,[status(thm)],[mp5_1]),[]).
% 
% cnf(194475088,plain,(~complexity(sk3,A,sk8)|~inertia(sk3,B,sk8)|~greater(A,sk6)|greater(B,sk1(sk8,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[141151624,182101488,141156120]),[]).
% 
% fof(t15_FOL_14,plain,(complexity(sk3,sk7,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141313512,plain,(complexity(sk3,sk7,sk8)),inference(rewrite,[status(thm)],[t15_FOL_14]),[]).
% 
% cnf(194490472,plain,(~inertia(sk3,A,sk8)|greater(A,sk1(sk8,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[141318200,194475088,141313512]),[]).
% 
% fof(t15_FOL_12,plain,(reorganization_type(sk3,sk4,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141300352,plain,(reorganization_type(sk3,sk4,sk8)),inference(rewrite,[status(thm)],[t15_FOL_12]),[]).
% 
% fof(a13_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(D,F)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141248160,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(D,F)),inference(rewrite,[status(thm)],[a13_FOL_3]),[]).
% 
% cnf(181904432,plain,(~organization(A,sk8)|~organization(sk3,B)|~class(A,sk5,sk8)|~reorganization(A,sk8,C)|~reorganization(sk3,sk8,B)|~reorganization_type(A,D,sk8)|~reorganization_type(sk3,D,sk8)|~inertia(A,E,sk8)|~inertia(sk3,F,sk8)|~greater(F,E)|greater(B,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[141261264,141248160,141274288]),[]).
% 
% fof(t15_FOL_11,plain,(reorganization_type(sk2,sk4,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141296112,plain,(reorganization_type(sk2,sk4,sk8)),inference(rewrite,[status(thm)],[t15_FOL_11]),[]).
% 
% cnf(182025664,plain,(~organization(sk3,A)|~reorganization(sk2,sk8,B)|~reorganization(sk3,sk8,A)|~inertia(sk2,C,sk8)|~inertia(sk3,D,sk8)|~greater(D,C)|greater(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[141269888,141151624,141300352,181904432,141296112]),[]).
% 
% cnf(196879264,plain,(~organization(sk3,A)|~reorganization(sk2,sk8,B)|~reorganization(sk3,sk8,A)|~inertia(sk3,C,sk8)|greater(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[194490472,141151624,182025664,141156120]),[]).
% 
% fof(t15_FOL_6,plain,(organization(sk3,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141265152,plain,(organization(sk3,sk10)),inference(rewrite,[status(thm)],[t15_FOL_6]),[]).
% 
% cnf(196904920,plain,(~reorganization(sk2,sk8,A)|~inertia(sk3,B,sk8)|greater(sk10,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[141291424,196879264,141265152]),[]).
% 
% cnf(196934368,plain,(~reorganization(sk2,sk8,A)|greater(sk10,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[141261264,196904920,141156120]),[]).
% 
% fof(t15_FOL_16,plain,(~greater(sk10,sk9)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT015-1.tptp',unknown),[]).
% 
% cnf(141323304,plain,(~greater(sk10,sk9)),inference(rewrite,[status(thm)],[t15_FOL_16]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[141278960,196934368,141323304]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------