TSTP Solution File: MGT009+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT009+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 13:59:46 EDT 2009

% Result   : Theorem 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   27 (  13 unt;   0 def)
%            Number of atoms       :  112 (   0 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  163 (  78   ~;  73   |;  12   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 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   :   60 (   1 sgn  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t9_FOL,plain,
    ( organization(x,t1)
    & organization(y,t2)
    & reorganization_free(x,t1,t1)
    & reorganization_free(y,t2,t2)
    & class(x,c,t1)
    & class(y,c,t2)
    & reproducibility(x,rp1,t1)
    & reproducibility(y,rp2,t2)
    & size(x,s1,t1)
    & size(y,s2,t2)
    & greater(s2,s1)
    & ~ greater(rp2,rp1) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),
    [] ).

cnf(161088296,plain,
    size(y,s2,t2),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

cnf(161156680,plain,
    organization(y,t2),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

cnf(161067576,plain,
    ~ greater(rp2,rp1),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

cnf(161164120,plain,
    organization(x,t1),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

cnf(161148176,plain,
    reorganization_free(x,t1,t1),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

cnf(161140688,plain,
    reorganization_free(y,t2,t2),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

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/MGT009+1.tptp',unknown),
    [] ).

cnf(160887128,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(161104488,plain,
    reproducibility(y,rp2,t2),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

cnf(200255384,plain,
    ( greater(rp2,C)
    | ~ greater(E,D)
    | ~ organization(A,B)
    | ~ reorganization_free(A,B,B)
    | ~ reproducibility(A,C,B)
    | ~ inertia(A,D,B)
    | ~ inertia(y,E,t2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[161140688,161156680,160887128,161104488]),
    [] ).

fof(mp5,plain,
    ! [A,B] :
      ( ~ organization(A,B)
      | inertia(A,i(A,B),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),
    [] ).

cnf(160807784,plain,
    ( ~ organization(A,B)
    | inertia(A,i(A,B),B) ),
    inference(rewrite,[status(thm)],[mp5]),
    [] ).

cnf(201870120,plain,
    ( greater(rp2,C)
    | ~ greater(D,i(A,B))
    | ~ organization(A,B)
    | ~ reorganization_free(A,B,B)
    | ~ reproducibility(A,C,B)
    | ~ inertia(y,D,t2) ),
    inference(resolution,[status(thm)],[200255384,160807784]),
    [] ).

cnf(161111912,plain,
    reproducibility(x,rp1,t1),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

cnf(201903776,plain,
    ( ~ greater(A,i(x,t1))
    | ~ inertia(y,A,t2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[161067576,161164120,161148176,201870120,161111912]),
    [] ).

cnf(161128064,plain,
    class(x,c,t1),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

fof(a5_FOL,plain,
    ! [A,H,B,I,C,D,E,F,G] :
      ( ~ organization(A,H)
      | ~ organization(B,I)
      | ~ class(A,C,H)
      | ~ class(B,C,I)
      | ~ size(A,D,H)
      | ~ size(B,E,I)
      | ~ inertia(A,F,H)
      | ~ inertia(B,G,I)
      | ~ greater(E,D)
      | greater(G,F) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),
    [] ).

cnf(160923736,plain,
    ( ~ organization(A,H)
    | ~ organization(B,I)
    | ~ class(A,C,H)
    | ~ class(B,C,I)
    | ~ size(A,D,H)
    | ~ size(B,E,I)
    | ~ inertia(A,F,H)
    | ~ inertia(B,G,I)
    | ~ greater(E,D)
    | greater(G,F) ),
    inference(rewrite,[status(thm)],[a5_FOL]),
    [] ).

cnf(161095888,plain,
    size(x,s1,t1),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

cnf(199478336,plain,
    ( ~ organization(A,F)
    | ~ class(x,B,t1)
    | ~ class(A,B,F)
    | ~ size(A,C,F)
    | ~ inertia(x,D,t1)
    | ~ inertia(A,E,F)
    | ~ greater(C,s1)
    | greater(E,D) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[161164120,160923736,161095888]),
    [] ).

cnf(161120448,plain,
    class(y,c,t2),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

cnf(199648856,plain,
    ( ~ size(y,A,t2)
    | ~ inertia(x,B,t1)
    | ~ inertia(y,C,t2)
    | ~ greater(A,s1)
    | greater(C,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[161128064,161156680,199478336,161120448]),
    [] ).

cnf(202908336,plain,
    ( ~ size(y,A,t2)
    | ~ inertia(y,B,t2)
    | ~ greater(A,s1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[201903776,161164120,199648856,160807784]),
    [] ).

cnf(202923624,plain,
    ( ~ size(y,A,t2)
    | ~ greater(A,s1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[161156680,202908336,160807784]),
    [] ).

cnf(161075120,plain,
    greater(s2,s1),
    inference(rewrite,[status(thm)],[t9_FOL]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[161088296,202923624,161075120]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t9_FOL,plain,((organization(x,t1)&organization(y,t2)&reorganization_free(x,t1,t1)&reorganization_free(y,t2,t2)&class(x,c,t1)&class(y,c,t2)&reproducibility(x,rp1,t1)&reproducibility(y,rp2,t2)&size(x,s1,t1)&size(y,s2,t2)&greater(s2,s1)&~greater(rp2,rp1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),[]).
% 
% cnf(161088296,plain,(size(y,s2,t2)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% cnf(161156680,plain,(organization(y,t2)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% cnf(161067576,plain,(~greater(rp2,rp1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% cnf(161164120,plain,(organization(x,t1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% cnf(161148176,plain,(reorganization_free(x,t1,t1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% cnf(161140688,plain,(reorganization_free(y,t2,t2)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% 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/MGT009+1.tptp',unknown),[]).
% 
% cnf(160887128,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(161104488,plain,(reproducibility(y,rp2,t2)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% cnf(200255384,plain,(greater(rp2,C)|~greater(E,D)|~organization(A,B)|~reorganization_free(A,B,B)|~reproducibility(A,C,B)|~inertia(A,D,B)|~inertia(y,E,t2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161140688,161156680,160887128,161104488]),[]).
% 
% fof(mp5,plain,(~organization(A,B)|inertia(A,i(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),[]).
% 
% cnf(160807784,plain,(~organization(A,B)|inertia(A,i(A,B),B)),inference(rewrite,[status(thm)],[mp5]),[]).
% 
% cnf(201870120,plain,(greater(rp2,C)|~greater(D,i(A,B))|~organization(A,B)|~reorganization_free(A,B,B)|~reproducibility(A,C,B)|~inertia(y,D,t2)),inference(resolution,[status(thm)],[200255384,160807784]),[]).
% 
% cnf(161111912,plain,(reproducibility(x,rp1,t1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% cnf(201903776,plain,(~greater(A,i(x,t1))|~inertia(y,A,t2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161067576,161164120,161148176,201870120,161111912]),[]).
% 
% cnf(161128064,plain,(class(x,c,t1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% fof(a5_FOL,plain,(~organization(A,H)|~organization(B,I)|~class(A,C,H)|~class(B,C,I)|~size(A,D,H)|~size(B,E,I)|~inertia(A,F,H)|~inertia(B,G,I)|~greater(E,D)|greater(G,F)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),[]).
% 
% cnf(160923736,plain,(~organization(A,H)|~organization(B,I)|~class(A,C,H)|~class(B,C,I)|~size(A,D,H)|~size(B,E,I)|~inertia(A,F,H)|~inertia(B,G,I)|~greater(E,D)|greater(G,F)),inference(rewrite,[status(thm)],[a5_FOL]),[]).
% 
% cnf(161095888,plain,(size(x,s1,t1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% cnf(199478336,plain,(~organization(A,F)|~class(x,B,t1)|~class(A,B,F)|~size(A,C,F)|~inertia(x,D,t1)|~inertia(A,E,F)|~greater(C,s1)|greater(E,D)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161164120,160923736,161095888]),[]).
% 
% cnf(161120448,plain,(class(y,c,t2)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% cnf(199648856,plain,(~size(y,A,t2)|~inertia(x,B,t1)|~inertia(y,C,t2)|~greater(A,s1)|greater(C,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161128064,161156680,199478336,161120448]),[]).
% 
% cnf(202908336,plain,(~size(y,A,t2)|~inertia(y,B,t2)|~greater(A,s1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[201903776,161164120,199648856,160807784]),[]).
% 
% cnf(202923624,plain,(~size(y,A,t2)|~greater(A,s1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161156680,202908336,160807784]),[]).
% 
% cnf(161075120,plain,(greater(s2,s1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[161088296,202923624,161075120]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------