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Faust---1.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT002+1 : TPTP v3.4.2. Released v2.0.0.
% 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 13:59:08 EDT 2009

% Result   : Theorem 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   28 (  13 unt;   0 def)
%            Number of atoms       :  101 (   0 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  142 (  69   ~;  65   |;   8   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 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   :   57 (   7 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(mp3,plain,
    ! [A,B] :
      ( ~ organization(A,B)
      | reproducibility(A,rp(A,B),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002+1.tptp',unknown),
    [] ).

cnf(172955840,plain,
    ( ~ organization(A,B)
    | reproducibility(A,rp(A,B),B) ),
    inference(rewrite,[status(thm)],[mp3]),
    [] ).

fof(t2_FOL,plain,
    ( organization(x,t1)
    & organization(x,t2)
    & reorganization_free(x,t1,t2)
    & inertia(x,i1,t1)
    & inertia(x,i2,t2)
    & greater(t2,t1)
    & ~ greater(i2,i1) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002+1.tptp',unknown),
    [] ).

cnf(173194328,plain,
    organization(x,t1),
    inference(rewrite,[status(thm)],[t2_FOL]),
    [] ).

cnf(197867576,plain,
    reproducibility(x,rp(x,t1),t1),
    inference(resolution,[status(thm)],[172955840,173194328]),
    [] ).

cnf(173187024,plain,
    organization(x,t2),
    inference(rewrite,[status(thm)],[t2_FOL]),
    [] ).

cnf(196943544,plain,
    reproducibility(x,rp(x,t2),t2),
    inference(resolution,[status(thm)],[172955840,173187024]),
    [] ).

cnf(173163760,plain,
    inertia(x,i2,t2),
    inference(rewrite,[status(thm)],[t2_FOL]),
    [] ).

cnf(173171216,plain,
    inertia(x,i1,t1),
    inference(rewrite,[status(thm)],[t2_FOL]),
    [] ).

cnf(173178200,plain,
    reorganization_free(x,t1,t2),
    inference(rewrite,[status(thm)],[t2_FOL]),
    [] ).

fof(a4_FOL,plain,
    ! [A,D,E,B,C] :
      ( ~ organization(A,D)
      | ~ organization(A,E)
      | ~ reorganization_free(A,D,E)
      | ~ reproducibility(A,B,D)
      | ~ reproducibility(A,C,E)
      | ~ greater(E,D)
      | greater(C,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002+1.tptp',unknown),
    [] ).

cnf(173050416,plain,
    ( ~ organization(A,D)
    | ~ organization(A,E)
    | ~ reorganization_free(A,D,E)
    | ~ reproducibility(A,B,D)
    | ~ reproducibility(A,C,E)
    | ~ greater(E,D)
    | greater(C,B) ),
    inference(rewrite,[status(thm)],[a4_FOL]),
    [] ).

cnf(197063128,plain,
    ( ~ organization(x,C)
    | ~ reorganization_free(x,C,t2)
    | ~ reproducibility(x,A,C)
    | ~ reproducibility(x,B,t2)
    | ~ greater(t2,C)
    | greater(B,A) ),
    inference(resolution,[status(thm)],[173050416,173187024]),
    [] ).

cnf(173150816,plain,
    greater(t2,t1),
    inference(rewrite,[status(thm)],[t2_FOL]),
    [] ).

cnf(197081560,plain,
    ( ~ reproducibility(x,A,t1)
    | ~ reproducibility(x,B,t2)
    | greater(B,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173194328,173178200,197063128,173150816]),
    [] ).

fof(mp4,plain,
    ! [A,C,B] :
      ( ( reorganization_free(A,C,C)
        | ~ reorganization_free(A,B,C) )
      & ( reorganization_free(A,B,B)
        | ~ reorganization_free(A,B,C) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002+1.tptp',unknown),
    [] ).

cnf(172962480,plain,
    ( reorganization_free(A,B,B)
    | ~ reorganization_free(A,B,C) ),
    inference(rewrite,[status(thm)],[mp4]),
    [] ).

cnf(197737520,plain,
    reorganization_free(x,t1,t1),
    inference(resolution,[status(thm)],[172962480,173178200]),
    [] ).

cnf(172966656,plain,
    ( reorganization_free(A,C,C)
    | ~ reorganization_free(A,B,C) ),
    inference(rewrite,[status(thm)],[mp4]),
    [] ).

cnf(197759000,plain,
    reorganization_free(x,t2,t2),
    inference(resolution,[status(thm)],[172966656,173178200]),
    [] ).

fof(a3_FOL,plain,
    ! [F,E,H,G,A,C,B,D] :
      ( ( greater(F,E)
        | ~ greater(H,G)
        | ~ organization(A,C)
        | ~ organization(B,D)
        | ~ reorganization_free(A,C,C)
        | ~ reorganization_free(B,D,D)
        | ~ reproducibility(A,E,C)
        | ~ reproducibility(B,F,D)
        | ~ inertia(A,G,C)
        | ~ inertia(B,H,D) )
      & ( ~ greater(F,E)
        | greater(H,G)
        | ~ organization(A,C)
        | ~ organization(B,D)
        | ~ reorganization_free(A,C,C)
        | ~ reorganization_free(B,D,D)
        | ~ reproducibility(A,E,C)
        | ~ reproducibility(B,F,D)
        | ~ inertia(A,G,C)
        | ~ inertia(B,H,D) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002+1.tptp',unknown),
    [] ).

cnf(173012960,plain,
    ( ~ greater(F,E)
    | greater(H,G)
    | ~ organization(A,C)
    | ~ organization(B,D)
    | ~ reorganization_free(A,C,C)
    | ~ reorganization_free(B,D,D)
    | ~ reproducibility(A,E,C)
    | ~ reproducibility(B,F,D)
    | ~ inertia(A,G,C)
    | ~ inertia(B,H,D) ),
    inference(rewrite,[status(thm)],[a3_FOL]),
    [] ).

cnf(197136360,plain,
    ( ~ greater(D,C)
    | greater(F,E)
    | ~ organization(A,B)
    | ~ reorganization_free(A,B,B)
    | ~ reorganization_free(x,t2,t2)
    | ~ reproducibility(A,C,B)
    | ~ reproducibility(x,D,t2)
    | ~ inertia(A,E,B)
    | ~ inertia(x,F,t2) ),
    inference(resolution,[status(thm)],[173012960,173187024]),
    [] ).

cnf(201535792,plain,
    ( greater(D,C)
    | ~ reproducibility(x,A,t1)
    | ~ reproducibility(x,B,t2)
    | ~ inertia(x,C,t1)
    | ~ inertia(x,D,t2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[197081560,197737520,197759000,197136360,173194328]),
    [] ).

cnf(173143368,plain,
    ~ greater(i2,i1),
    inference(rewrite,[status(thm)],[t2_FOL]),
    [] ).

cnf(201693680,plain,
    ( ~ reproducibility(x,A,t1)
    | ~ reproducibility(x,B,t2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173163760,173171216,201535792,173143368]),
    [] ).

cnf(203120352,plain,
    ~ reproducibility(x,A,t1),
    inference(resolution,[status(thm)],[196943544,201693680]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[197867576,203120352]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(mp3,plain,(~organization(A,B)|reproducibility(A,rp(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002+1.tptp',unknown),[]).
% 
% cnf(172955840,plain,(~organization(A,B)|reproducibility(A,rp(A,B),B)),inference(rewrite,[status(thm)],[mp3]),[]).
% 
% fof(t2_FOL,plain,((organization(x,t1)&organization(x,t2)&reorganization_free(x,t1,t2)&inertia(x,i1,t1)&inertia(x,i2,t2)&greater(t2,t1)&~greater(i2,i1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002+1.tptp',unknown),[]).
% 
% cnf(173194328,plain,(organization(x,t1)),inference(rewrite,[status(thm)],[t2_FOL]),[]).
% 
% cnf(197867576,plain,(reproducibility(x,rp(x,t1),t1)),inference(resolution,[status(thm)],[172955840,173194328]),[]).
% 
% cnf(173187024,plain,(organization(x,t2)),inference(rewrite,[status(thm)],[t2_FOL]),[]).
% 
% cnf(196943544,plain,(reproducibility(x,rp(x,t2),t2)),inference(resolution,[status(thm)],[172955840,173187024]),[]).
% 
% cnf(173163760,plain,(inertia(x,i2,t2)),inference(rewrite,[status(thm)],[t2_FOL]),[]).
% 
% cnf(173171216,plain,(inertia(x,i1,t1)),inference(rewrite,[status(thm)],[t2_FOL]),[]).
% 
% cnf(173178200,plain,(reorganization_free(x,t1,t2)),inference(rewrite,[status(thm)],[t2_FOL]),[]).
% 
% fof(a4_FOL,plain,(~organization(A,D)|~organization(A,E)|~reorganization_free(A,D,E)|~reproducibility(A,B,D)|~reproducibility(A,C,E)|~greater(E,D)|greater(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002+1.tptp',unknown),[]).
% 
% cnf(173050416,plain,(~organization(A,D)|~organization(A,E)|~reorganization_free(A,D,E)|~reproducibility(A,B,D)|~reproducibility(A,C,E)|~greater(E,D)|greater(C,B)),inference(rewrite,[status(thm)],[a4_FOL]),[]).
% 
% cnf(197063128,plain,(~organization(x,C)|~reorganization_free(x,C,t2)|~reproducibility(x,A,C)|~reproducibility(x,B,t2)|~greater(t2,C)|greater(B,A)),inference(resolution,[status(thm)],[173050416,173187024]),[]).
% 
% cnf(173150816,plain,(greater(t2,t1)),inference(rewrite,[status(thm)],[t2_FOL]),[]).
% 
% cnf(197081560,plain,(~reproducibility(x,A,t1)|~reproducibility(x,B,t2)|greater(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173194328,173178200,197063128,173150816]),[]).
% 
% fof(mp4,plain,(((reorganization_free(A,C,C)|~reorganization_free(A,B,C))&(reorganization_free(A,B,B)|~reorganization_free(A,B,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002+1.tptp',unknown),[]).
% 
% cnf(172962480,plain,(reorganization_free(A,B,B)|~reorganization_free(A,B,C)),inference(rewrite,[status(thm)],[mp4]),[]).
% 
% cnf(197737520,plain,(reorganization_free(x,t1,t1)),inference(resolution,[status(thm)],[172962480,173178200]),[]).
% 
% cnf(172966656,plain,(reorganization_free(A,C,C)|~reorganization_free(A,B,C)),inference(rewrite,[status(thm)],[mp4]),[]).
% 
% cnf(197759000,plain,(reorganization_free(x,t2,t2)),inference(resolution,[status(thm)],[172966656,173178200]),[]).
% 
% fof(a3_FOL,plain,(((greater(F,E)|~greater(H,G)|~organization(A,C)|~organization(B,D)|~reorganization_free(A,C,C)|~reorganization_free(B,D,D)|~reproducibility(A,E,C)|~reproducibility(B,F,D)|~inertia(A,G,C)|~inertia(B,H,D))&(~greater(F,E)|greater(H,G)|~organization(A,C)|~organization(B,D)|~reorganization_free(A,C,C)|~reorganization_free(B,D,D)|~reproducibility(A,E,C)|~reproducibility(B,F,D)|~inertia(A,G,C)|~inertia(B,H,D)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT002+1.tptp',unknown),[]).
% 
% cnf(173012960,plain,(~greater(F,E)|greater(H,G)|~organization(A,C)|~organization(B,D)|~reorganization_free(A,C,C)|~reorganization_free(B,D,D)|~reproducibility(A,E,C)|~reproducibility(B,F,D)|~inertia(A,G,C)|~inertia(B,H,D)),inference(rewrite,[status(thm)],[a3_FOL]),[]).
% 
% cnf(197136360,plain,(~greater(D,C)|greater(F,E)|~organization(A,B)|~reorganization_free(A,B,B)|~reorganization_free(x,t2,t2)|~reproducibility(A,C,B)|~reproducibility(x,D,t2)|~inertia(A,E,B)|~inertia(x,F,t2)),inference(resolution,[status(thm)],[173012960,173187024]),[]).
% 
% cnf(201535792,plain,(greater(D,C)|~reproducibility(x,A,t1)|~reproducibility(x,B,t2)|~inertia(x,C,t1)|~inertia(x,D,t2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[197081560,197737520,197759000,197136360,173194328]),[]).
% 
% cnf(173143368,plain,(~greater(i2,i1)),inference(rewrite,[status(thm)],[t2_FOL]),[]).
% 
% cnf(201693680,plain,(~reproducibility(x,A,t1)|~reproducibility(x,B,t2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173163760,173171216,201535792,173143368]),[]).
% 
% cnf(203120352,plain,(~reproducibility(x,A,t1)),inference(resolution,[status(thm)],[196943544,201693680]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[197867576,203120352]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------