TSTP Solution File: MGT003-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT003-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 13:59:13 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   35 (  20 unt;   0 def)
%            Number of atoms       :   92 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  120 (  63   ~;  57   |;   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   :   60 (   5 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t3_FOL_11,plain,
    greater(sk6,sk5),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(163004448,plain,
    greater(sk6,sk5),
    inference(rewrite,[status(thm)],[t3_FOL_11]),
    [] ).

fof(t3_FOL_8,plain,
    reorganization_free(sk2,sk5,sk6),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(162986912,plain,
    reorganization_free(sk2,sk5,sk6),
    inference(rewrite,[status(thm)],[t3_FOL_8]),
    [] ).

fof(t2_FOL_5,plain,
    ! [A,B,C,D,E] :
      ( ~ organization(A,B)
      | ~ organization(A,C)
      | ~ reorganization_free(A,B,C)
      | ~ inertia(A,D,B)
      | ~ inertia(A,E,C)
      | ~ greater(C,B)
      | greater(E,D) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(162974000,plain,
    ( ~ organization(A,B)
    | ~ organization(A,C)
    | ~ reorganization_free(A,B,C)
    | ~ inertia(A,D,B)
    | ~ inertia(A,E,C)
    | ~ greater(C,B)
    | greater(E,D) ),
    inference(rewrite,[status(thm)],[t2_FOL_5]),
    [] ).

fof(t3_FOL_6,plain,
    organization(sk2,sk5),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(162902272,plain,
    organization(sk2,sk5),
    inference(rewrite,[status(thm)],[t3_FOL_6]),
    [] ).

cnf(186697568,plain,
    ( ~ organization(sk2,A)
    | ~ reorganization_free(sk2,sk5,A)
    | ~ inertia(sk2,B,sk5)
    | ~ inertia(sk2,C,A)
    | ~ greater(A,sk5)
    | greater(C,B) ),
    inference(resolution,[status(thm)],[162974000,162902272]),
    [] ).

fof(t3_FOL_7,plain,
    organization(sk2,sk6),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(162982392,plain,
    organization(sk2,sk6),
    inference(rewrite,[status(thm)],[t3_FOL_7]),
    [] ).

cnf(186830616,plain,
    ( ~ inertia(sk2,A,sk5)
    | ~ inertia(sk2,B,sk6)
    | greater(B,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163004448,162986912,186697568,162982392]),
    [] ).

fof(mp4_2,plain,
    ! [A,B,C] :
      ( ~ reorganization_free(A,B,C)
      | reorganization_free(A,C,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(162911208,plain,
    ( ~ reorganization_free(A,B,C)
    | reorganization_free(A,C,C) ),
    inference(rewrite,[status(thm)],[mp4_2]),
    [] ).

cnf(186964416,plain,
    reorganization_free(sk2,sk6,sk6),
    inference(resolution,[status(thm)],[162911208,162986912]),
    [] ).

fof(t3_FOL_10,plain,
    survival_chance(sk2,sk4,sk6),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(162999872,plain,
    survival_chance(sk2,sk4,sk6),
    inference(rewrite,[status(thm)],[t3_FOL_10]),
    [] ).

fof(mp4_1,plain,
    ! [A,B,C] :
      ( ~ reorganization_free(A,B,C)
      | reorganization_free(A,B,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(162906736,plain,
    ( ~ reorganization_free(A,B,C)
    | reorganization_free(A,B,B) ),
    inference(rewrite,[status(thm)],[mp4_1]),
    [] ).

cnf(186960016,plain,
    reorganization_free(sk2,sk5,sk5),
    inference(resolution,[status(thm)],[162906736,162986912]),
    [] ).

fof(t3_FOL_9,plain,
    survival_chance(sk2,sk3,sk5),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(162995824,plain,
    survival_chance(sk2,sk3,sk5),
    inference(rewrite,[status(thm)],[t3_FOL_9]),
    [] ).

fof(t1_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)
      | ~ inertia(A,E,B)
      | ~ inertia(C,F,D)
      | ~ survival_chance(A,G,B)
      | ~ survival_chance(C,H,D)
      | ~ greater(F,E)
      | greater(H,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(162958496,plain,
    ( ~ organization(A,B)
    | ~ organization(C,D)
    | ~ reorganization_free(A,B,B)
    | ~ reorganization_free(C,D,D)
    | ~ inertia(A,E,B)
    | ~ inertia(C,F,D)
    | ~ survival_chance(A,G,B)
    | ~ survival_chance(C,H,D)
    | ~ greater(F,E)
    | greater(H,G) ),
    inference(rewrite,[status(thm)],[t1_FOL_4]),
    [] ).

fof(t3_FOL_12,plain,
    ~ greater(sk4,sk3),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(163009360,plain,
    ~ greater(sk4,sk3),
    inference(rewrite,[status(thm)],[t3_FOL_12]),
    [] ).

cnf(187116736,plain,
    ( ~ organization(A,B)
    | ~ organization(C,D)
    | ~ reorganization_free(A,B,B)
    | ~ reorganization_free(C,D,D)
    | ~ inertia(A,E,B)
    | ~ inertia(C,F,D)
    | ~ survival_chance(A,sk3,B)
    | ~ survival_chance(C,sk4,D)
    | ~ greater(F,E) ),
    inference(resolution,[status(thm)],[162958496,163009360]),
    [] ).

cnf(187131536,plain,
    ( ~ organization(A,B)
    | ~ reorganization_free(A,B,B)
    | ~ inertia(sk2,C,sk5)
    | ~ inertia(A,D,B)
    | ~ survival_chance(A,sk4,B)
    | ~ greater(D,C) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[186960016,162995824,187116736,162902272]),
    [] ).

cnf(187195712,plain,
    ( ~ inertia(sk2,A,sk5)
    | ~ inertia(sk2,B,sk6) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[186830616,186964416,162999872,187131536,162982392]),
    [] ).

fof(mp5_3,plain,
    ! [A,B] :
      ( ~ organization(A,B)
      | inertia(A,sk1(B,A),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),
    [] ).

cnf(162917168,plain,
    ( ~ organization(A,B)
    | inertia(A,sk1(B,A),B) ),
    inference(rewrite,[status(thm)],[mp5_3]),
    [] ).

cnf(186638176,plain,
    inertia(sk2,sk1(sk5,sk2),sk5),
    inference(resolution,[status(thm)],[162917168,162902272]),
    [] ).

cnf(187753056,plain,
    ~ inertia(sk2,A,sk6),
    inference(resolution,[status(thm)],[187195712,186638176]),
    [] ).

cnf(187299120,plain,
    inertia(sk2,sk1(sk6,sk2),sk6),
    inference(resolution,[status(thm)],[162917168,162982392]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[187753056,187299120]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(t3_FOL_11,plain,(greater(sk6,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(163004448,plain,(greater(sk6,sk5)),inference(rewrite,[status(thm)],[t3_FOL_11]),[]).
% 
% fof(t3_FOL_8,plain,(reorganization_free(sk2,sk5,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(162986912,plain,(reorganization_free(sk2,sk5,sk6)),inference(rewrite,[status(thm)],[t3_FOL_8]),[]).
% 
% fof(t2_FOL_5,plain,(~organization(A,B)|~organization(A,C)|~reorganization_free(A,B,C)|~inertia(A,D,B)|~inertia(A,E,C)|~greater(C,B)|greater(E,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(162974000,plain,(~organization(A,B)|~organization(A,C)|~reorganization_free(A,B,C)|~inertia(A,D,B)|~inertia(A,E,C)|~greater(C,B)|greater(E,D)),inference(rewrite,[status(thm)],[t2_FOL_5]),[]).
% 
% fof(t3_FOL_6,plain,(organization(sk2,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(162902272,plain,(organization(sk2,sk5)),inference(rewrite,[status(thm)],[t3_FOL_6]),[]).
% 
% cnf(186697568,plain,(~organization(sk2,A)|~reorganization_free(sk2,sk5,A)|~inertia(sk2,B,sk5)|~inertia(sk2,C,A)|~greater(A,sk5)|greater(C,B)),inference(resolution,[status(thm)],[162974000,162902272]),[]).
% 
% fof(t3_FOL_7,plain,(organization(sk2,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(162982392,plain,(organization(sk2,sk6)),inference(rewrite,[status(thm)],[t3_FOL_7]),[]).
% 
% cnf(186830616,plain,(~inertia(sk2,A,sk5)|~inertia(sk2,B,sk6)|greater(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163004448,162986912,186697568,162982392]),[]).
% 
% fof(mp4_2,plain,(~reorganization_free(A,B,C)|reorganization_free(A,C,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(162911208,plain,(~reorganization_free(A,B,C)|reorganization_free(A,C,C)),inference(rewrite,[status(thm)],[mp4_2]),[]).
% 
% cnf(186964416,plain,(reorganization_free(sk2,sk6,sk6)),inference(resolution,[status(thm)],[162911208,162986912]),[]).
% 
% fof(t3_FOL_10,plain,(survival_chance(sk2,sk4,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(162999872,plain,(survival_chance(sk2,sk4,sk6)),inference(rewrite,[status(thm)],[t3_FOL_10]),[]).
% 
% fof(mp4_1,plain,(~reorganization_free(A,B,C)|reorganization_free(A,B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(162906736,plain,(~reorganization_free(A,B,C)|reorganization_free(A,B,B)),inference(rewrite,[status(thm)],[mp4_1]),[]).
% 
% cnf(186960016,plain,(reorganization_free(sk2,sk5,sk5)),inference(resolution,[status(thm)],[162906736,162986912]),[]).
% 
% fof(t3_FOL_9,plain,(survival_chance(sk2,sk3,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(162995824,plain,(survival_chance(sk2,sk3,sk5)),inference(rewrite,[status(thm)],[t3_FOL_9]),[]).
% 
% fof(t1_FOL_4,plain,(~organization(A,B)|~organization(C,D)|~reorganization_free(A,B,B)|~reorganization_free(C,D,D)|~inertia(A,E,B)|~inertia(C,F,D)|~survival_chance(A,G,B)|~survival_chance(C,H,D)|~greater(F,E)|greater(H,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(162958496,plain,(~organization(A,B)|~organization(C,D)|~reorganization_free(A,B,B)|~reorganization_free(C,D,D)|~inertia(A,E,B)|~inertia(C,F,D)|~survival_chance(A,G,B)|~survival_chance(C,H,D)|~greater(F,E)|greater(H,G)),inference(rewrite,[status(thm)],[t1_FOL_4]),[]).
% 
% fof(t3_FOL_12,plain,(~greater(sk4,sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(163009360,plain,(~greater(sk4,sk3)),inference(rewrite,[status(thm)],[t3_FOL_12]),[]).
% 
% cnf(187116736,plain,(~organization(A,B)|~organization(C,D)|~reorganization_free(A,B,B)|~reorganization_free(C,D,D)|~inertia(A,E,B)|~inertia(C,F,D)|~survival_chance(A,sk3,B)|~survival_chance(C,sk4,D)|~greater(F,E)),inference(resolution,[status(thm)],[162958496,163009360]),[]).
% 
% cnf(187131536,plain,(~organization(A,B)|~reorganization_free(A,B,B)|~inertia(sk2,C,sk5)|~inertia(A,D,B)|~survival_chance(A,sk4,B)|~greater(D,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186960016,162995824,187116736,162902272]),[]).
% 
% cnf(187195712,plain,(~inertia(sk2,A,sk5)|~inertia(sk2,B,sk6)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186830616,186964416,162999872,187131536,162982392]),[]).
% 
% fof(mp5_3,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT003-1.tptp',unknown),[]).
% 
% cnf(162917168,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),inference(rewrite,[status(thm)],[mp5_3]),[]).
% 
% cnf(186638176,plain,(inertia(sk2,sk1(sk5,sk2),sk5)),inference(resolution,[status(thm)],[162917168,162902272]),[]).
% 
% cnf(187753056,plain,(~inertia(sk2,A,sk6)),inference(resolution,[status(thm)],[187195712,186638176]),[]).
% 
% cnf(187299120,plain,(inertia(sk2,sk1(sk6,sk2),sk6)),inference(resolution,[status(thm)],[162917168,162982392]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[187753056,187299120]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------