TSTP Solution File: MGT016-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT016-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 14:00:19 EDT 2009

% Result   : Unsatisfiable 0.6s
% Output   : Refutation 0.6s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   42 (  28 unt;   0 def)
%            Number of atoms       :  124 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  163 (  81   ~;  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   :   67 (   2 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t16_FOL_6,plain,
    ~ organization(sk3,sk10),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149113112,plain,
    ~ organization(sk3,sk10),
    inference(rewrite,[status(thm)],[t16_FOL_6]),
    [] ).

fof(t16_FOL_5,plain,
    organization(sk3,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149109208,plain,
    organization(sk3,sk8),
    inference(rewrite,[status(thm)],[t16_FOL_5]),
    [] ).

fof(t16_FOL_10,plain,
    reorganization(sk3,sk8,sk10),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149139528,plain,
    reorganization(sk3,sk8,sk10),
    inference(rewrite,[status(thm)],[t16_FOL_10]),
    [] ).

fof(t16_FOL_9,plain,
    reorganization(sk2,sk8,sk9),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149135240,plain,
    reorganization(sk2,sk8,sk9),
    inference(rewrite,[status(thm)],[t16_FOL_9]),
    [] ).

fof(t16_FOL_15,plain,
    greater(sk7,sk6),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149166304,plain,
    greater(sk7,sk6),
    inference(rewrite,[status(thm)],[t16_FOL_15]),
    [] ).

fof(t16_FOL_8,plain,
    class(sk3,sk5,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149122392,plain,
    class(sk3,sk5,sk8),
    inference(rewrite,[status(thm)],[t16_FOL_8]),
    [] ).

fof(t16_FOL_4,plain,
    organization(sk2,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(148999568,plain,
    organization(sk2,sk8),
    inference(rewrite,[status(thm)],[t16_FOL_4]),
    [] ).

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/MGT016-1.tptp',unknown),
    [] ).

cnf(149054640,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(t16_FOL_7,plain,
    class(sk2,sk5,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149117992,plain,
    class(sk2,sk5,sk8),
    inference(rewrite,[status(thm)],[t16_FOL_7]),
    [] ).

cnf(189434744,plain,
    ( ~ organization(A,B)
    | ~ class(A,sk5,B)
    | ~ complexity(sk2,C,sk8)
    | ~ complexity(A,D,B)
    | ~ inertia(sk2,E,sk8)
    | ~ inertia(A,F,B)
    | ~ greater(D,C)
    | greater(F,E) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[148999568,149054640,149117992]),
    [] ).

fof(t16_FOL_14,plain,
    complexity(sk3,sk7,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149161616,plain,
    complexity(sk3,sk7,sk8),
    inference(rewrite,[status(thm)],[t16_FOL_14]),
    [] ).

cnf(189808048,plain,
    ( ~ complexity(sk2,A,sk8)
    | ~ inertia(sk2,B,sk8)
    | ~ inertia(sk3,C,sk8)
    | ~ greater(sk7,A)
    | greater(C,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[149122392,149109208,189434744,149161616]),
    [] ).

fof(t16_FOL_13,plain,
    complexity(sk2,sk6,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(148998936,plain,
    complexity(sk2,sk6,sk8),
    inference(rewrite,[status(thm)],[t16_FOL_13]),
    [] ).

cnf(189814272,plain,
    ( ~ inertia(sk2,A,sk8)
    | ~ inertia(sk3,B,sk8)
    | greater(B,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[149166304,189808048,148998936]),
    [] ).

fof(mp5_1,plain,
    ! [A,B] :
      ( ~ organization(A,B)
      | inertia(A,sk1(B,A),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149004064,plain,
    ( ~ organization(A,B)
    | inertia(A,sk1(B,A),B) ),
    inference(rewrite,[status(thm)],[mp5_1]),
    [] ).

cnf(188793632,plain,
    inertia(sk2,sk1(sk8,sk2),sk8),
    inference(resolution,[status(thm)],[149004064,148999568]),
    [] ).

cnf(189871304,plain,
    ( ~ inertia(sk3,A,sk8)
    | greater(A,sk1(sk8,sk2)) ),
    inference(resolution,[status(thm)],[189814272,188793632]),
    [] ).

fof(t16_FOL_11,plain,
    reorganization_type(sk2,sk4,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149144216,plain,
    reorganization_type(sk2,sk4,sk8),
    inference(rewrite,[status(thm)],[t16_FOL_11]),
    [] ).

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/MGT016-1.tptp',unknown),
    [] ).

cnf(149096104,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]),
    [] ).

cnf(189531368,plain,
    ( ~ organization(A,sk8)
    | organization(A,B)
    | ~ class(A,sk5,sk8)
    | ~ reorganization(sk2,sk8,C)
    | ~ 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(C,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[148999568,149096104,149117992]),
    [] ).

cnf(189904528,plain,
    ( ~ organization(A,sk8)
    | organization(A,B)
    | ~ class(A,sk5,sk8)
    | ~ reorganization(sk2,sk8,C)
    | ~ reorganization(A,sk8,B)
    | ~ reorganization_type(sk2,D,sk8)
    | ~ reorganization_type(A,D,sk8)
    | ~ inertia(A,E,sk8)
    | ~ greater(E,sk1(sk8,sk2))
    | greater(C,B) ),
    inference(resolution,[status(thm)],[189531368,188793632]),
    [] ).

fof(t16_FOL_12,plain,
    reorganization_type(sk3,sk4,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149148456,plain,
    reorganization_type(sk3,sk4,sk8),
    inference(rewrite,[status(thm)],[t16_FOL_12]),
    [] ).

cnf(196232168,plain,
    ( organization(sk3,A)
    | ~ reorganization(sk2,sk8,B)
    | ~ reorganization(sk3,sk8,A)
    | ~ inertia(sk3,C,sk8)
    | greater(B,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[189871304,149122392,149109208,149144216,189904528,149148456]),
    [] ).

fof(t16_FOL_16,plain,
    ~ greater(sk9,sk10),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),
    [] ).

cnf(149171408,plain,
    ~ greater(sk9,sk10),
    inference(rewrite,[status(thm)],[t16_FOL_16]),
    [] ).

cnf(196297944,plain,
    ( organization(sk3,sk10)
    | ~ inertia(sk3,A,sk8) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[149139528,149135240,196232168,149171408]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[149113112,149109208,196297944,149004064]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(t16_FOL_6,plain,(~organization(sk3,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149113112,plain,(~organization(sk3,sk10)),inference(rewrite,[status(thm)],[t16_FOL_6]),[]).
% 
% fof(t16_FOL_5,plain,(organization(sk3,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149109208,plain,(organization(sk3,sk8)),inference(rewrite,[status(thm)],[t16_FOL_5]),[]).
% 
% fof(t16_FOL_10,plain,(reorganization(sk3,sk8,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149139528,plain,(reorganization(sk3,sk8,sk10)),inference(rewrite,[status(thm)],[t16_FOL_10]),[]).
% 
% fof(t16_FOL_9,plain,(reorganization(sk2,sk8,sk9)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149135240,plain,(reorganization(sk2,sk8,sk9)),inference(rewrite,[status(thm)],[t16_FOL_9]),[]).
% 
% fof(t16_FOL_15,plain,(greater(sk7,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149166304,plain,(greater(sk7,sk6)),inference(rewrite,[status(thm)],[t16_FOL_15]),[]).
% 
% fof(t16_FOL_8,plain,(class(sk3,sk5,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149122392,plain,(class(sk3,sk5,sk8)),inference(rewrite,[status(thm)],[t16_FOL_8]),[]).
% 
% fof(t16_FOL_4,plain,(organization(sk2,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(148999568,plain,(organization(sk2,sk8)),inference(rewrite,[status(thm)],[t16_FOL_4]),[]).
% 
% 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/MGT016-1.tptp',unknown),[]).
% 
% cnf(149054640,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(t16_FOL_7,plain,(class(sk2,sk5,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149117992,plain,(class(sk2,sk5,sk8)),inference(rewrite,[status(thm)],[t16_FOL_7]),[]).
% 
% cnf(189434744,plain,(~organization(A,B)|~class(A,sk5,B)|~complexity(sk2,C,sk8)|~complexity(A,D,B)|~inertia(sk2,E,sk8)|~inertia(A,F,B)|~greater(D,C)|greater(F,E)),inference(forward_subsumption_resolution__resolution,[status(thm)],[148999568,149054640,149117992]),[]).
% 
% fof(t16_FOL_14,plain,(complexity(sk3,sk7,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149161616,plain,(complexity(sk3,sk7,sk8)),inference(rewrite,[status(thm)],[t16_FOL_14]),[]).
% 
% cnf(189808048,plain,(~complexity(sk2,A,sk8)|~inertia(sk2,B,sk8)|~inertia(sk3,C,sk8)|~greater(sk7,A)|greater(C,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[149122392,149109208,189434744,149161616]),[]).
% 
% fof(t16_FOL_13,plain,(complexity(sk2,sk6,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(148998936,plain,(complexity(sk2,sk6,sk8)),inference(rewrite,[status(thm)],[t16_FOL_13]),[]).
% 
% cnf(189814272,plain,(~inertia(sk2,A,sk8)|~inertia(sk3,B,sk8)|greater(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[149166304,189808048,148998936]),[]).
% 
% fof(mp5_1,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149004064,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),inference(rewrite,[status(thm)],[mp5_1]),[]).
% 
% cnf(188793632,plain,(inertia(sk2,sk1(sk8,sk2),sk8)),inference(resolution,[status(thm)],[149004064,148999568]),[]).
% 
% cnf(189871304,plain,(~inertia(sk3,A,sk8)|greater(A,sk1(sk8,sk2))),inference(resolution,[status(thm)],[189814272,188793632]),[]).
% 
% fof(t16_FOL_11,plain,(reorganization_type(sk2,sk4,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149144216,plain,(reorganization_type(sk2,sk4,sk8)),inference(rewrite,[status(thm)],[t16_FOL_11]),[]).
% 
% 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/MGT016-1.tptp',unknown),[]).
% 
% cnf(149096104,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]),[]).
% 
% cnf(189531368,plain,(~organization(A,sk8)|organization(A,B)|~class(A,sk5,sk8)|~reorganization(sk2,sk8,C)|~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(C,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[148999568,149096104,149117992]),[]).
% 
% cnf(189904528,plain,(~organization(A,sk8)|organization(A,B)|~class(A,sk5,sk8)|~reorganization(sk2,sk8,C)|~reorganization(A,sk8,B)|~reorganization_type(sk2,D,sk8)|~reorganization_type(A,D,sk8)|~inertia(A,E,sk8)|~greater(E,sk1(sk8,sk2))|greater(C,B)),inference(resolution,[status(thm)],[189531368,188793632]),[]).
% 
% fof(t16_FOL_12,plain,(reorganization_type(sk3,sk4,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149148456,plain,(reorganization_type(sk3,sk4,sk8)),inference(rewrite,[status(thm)],[t16_FOL_12]),[]).
% 
% cnf(196232168,plain,(organization(sk3,A)|~reorganization(sk2,sk8,B)|~reorganization(sk3,sk8,A)|~inertia(sk3,C,sk8)|greater(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[189871304,149122392,149109208,149144216,189904528,149148456]),[]).
% 
% fof(t16_FOL_16,plain,(~greater(sk9,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT016-1.tptp',unknown),[]).
% 
% cnf(149171408,plain,(~greater(sk9,sk10)),inference(rewrite,[status(thm)],[t16_FOL_16]),[]).
% 
% cnf(196297944,plain,(organization(sk3,sk10)|~inertia(sk3,A,sk8)),inference(forward_subsumption_resolution__resolution,[status(thm)],[149139528,149135240,196232168,149171408]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[149113112,149109208,196297944,149004064]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------