TSTP Solution File: MGT017+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT017+1 : TPTP v3.4.2. Released v2.0.0.
% 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 14:00:24 EDT 2009

% Result   : Theorem 0.6s
% Output   : Refutation 0.6s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   31 (  17 unt;   0 def)
%            Number of atoms       :  124 (   0 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  178 (  85   ~;  81   |;  12   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   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   :   71 (   7 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(mp5,plain,
    ! [A,B] :
      ( ~ organization(A,B)
      | inertia(A,i(A,B),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT017+1.tptp',unknown),
    [] ).

cnf(155258744,plain,
    ( ~ organization(A,B)
    | inertia(A,i(A,B),B) ),
    inference(rewrite,[status(thm)],[mp5]),
    [] ).

fof(t17_FOL,plain,
    ( organization(x,ta)
    & organization(y,ta)
    & organization(y,tc)
    & class(x,c,ta)
    & class(y,c,ta)
    & reorganization(x,ta,tb)
    & reorganization(y,ta,tc)
    & reorganization_type(x,rt,ta)
    & reorganization_type(y,rt,ta)
    & size(x,s1,ta)
    & size(y,s2,ta)
    & greater(s2,s1)
    & ~ greater(tc,tb) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT017+1.tptp',unknown),
    [] ).

cnf(155613920,plain,
    organization(x,ta),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(196925656,plain,
    inertia(x,i(x,ta),ta),
    inference(resolution,[status(thm)],[155258744,155613920]),
    [] ).

cnf(155606928,plain,
    organization(y,ta),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(195632440,plain,
    inertia(y,i(y,ta),ta),
    inference(resolution,[status(thm)],[155258744,155606928]),
    [] ).

cnf(155570744,plain,
    reorganization(x,ta,tb),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(155579272,plain,
    class(y,c,ta),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(155538656,plain,
    size(x,s1,ta),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(155526968,plain,
    size(y,s2,ta),
    inference(rewrite,[status(thm)],[t17_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/MGT017+1.tptp',unknown),
    [] ).

cnf(155309832,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(155517936,plain,
    greater(s2,s1),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(195245528,plain,
    ( ~ organization(A,F)
    | ~ organization(B,G)
    | ~ class(A,C,F)
    | ~ class(B,C,G)
    | ~ size(A,s1,F)
    | ~ size(B,s2,G)
    | ~ inertia(A,D,F)
    | ~ inertia(B,E,G)
    | greater(E,D) ),
    inference(resolution,[status(thm)],[155309832,155517936]),
    [] ).

cnf(195699216,plain,
    ( ~ organization(A,E)
    | ~ class(A,B,E)
    | ~ class(y,B,ta)
    | ~ size(A,s1,E)
    | ~ inertia(A,C,E)
    | ~ inertia(y,D,ta)
    | greater(D,C) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[155526968,195245528,155606928]),
    [] ).

cnf(196069424,plain,
    ( ~ class(x,A,ta)
    | ~ class(y,A,ta)
    | ~ inertia(x,B,ta)
    | ~ inertia(y,C,ta)
    | greater(C,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[155538656,195699216,155613920]),
    [] ).

cnf(155563296,plain,
    reorganization(y,ta,tc),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(155547280,plain,
    reorganization_type(y,rt,ta),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

fof(a13_FOL,plain,
    ! [A,G,B,I,D,H,C,E,F] :
      ( ~ organization(A,G)
      | ~ organization(B,G)
      | ~ organization(B,I)
      | ~ class(A,D,G)
      | ~ class(B,D,G)
      | ~ reorganization(A,G,H)
      | ~ reorganization(B,G,I)
      | ~ reorganization_type(A,C,G)
      | ~ reorganization_type(B,C,G)
      | ~ inertia(A,E,G)
      | ~ inertia(B,F,G)
      | ~ greater(F,E)
      | greater(I,H) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT017+1.tptp',unknown),
    [] ).

cnf(155351008,plain,
    ( ~ organization(A,G)
    | ~ organization(B,G)
    | ~ organization(B,I)
    | ~ class(A,D,G)
    | ~ class(B,D,G)
    | ~ reorganization(A,G,H)
    | ~ reorganization(B,G,I)
    | ~ reorganization_type(A,C,G)
    | ~ reorganization_type(B,C,G)
    | ~ inertia(A,E,G)
    | ~ inertia(B,F,G)
    | ~ greater(F,E)
    | greater(I,H) ),
    inference(rewrite,[status(thm)],[a13_FOL]),
    [] ).

cnf(155554736,plain,
    reorganization_type(x,rt,ta),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(200275168,plain,
    ( ~ organization(A,ta)
    | ~ organization(A,F)
    | ~ class(x,B,ta)
    | ~ class(A,B,ta)
    | ~ reorganization(x,ta,E)
    | ~ reorganization(A,ta,F)
    | ~ reorganization_type(A,rt,ta)
    | ~ inertia(x,C,ta)
    | ~ inertia(A,D,ta)
    | ~ greater(D,C)
    | greater(F,E) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[155613920,155351008,155554736]),
    [] ).

cnf(155599464,plain,
    organization(y,tc),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(200324632,plain,
    ( ~ class(x,A,ta)
    | ~ class(y,A,ta)
    | ~ reorganization(x,ta,D)
    | ~ inertia(x,B,ta)
    | ~ inertia(y,C,ta)
    | greater(tc,D) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[196069424,155606928,155563296,155547280,200275168,155599464]),
    [] ).

cnf(155590968,plain,
    class(x,c,ta),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(201018808,plain,
    ( ~ reorganization(x,ta,C)
    | ~ inertia(x,A,ta)
    | ~ inertia(y,B,ta)
    | greater(tc,C) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[155579272,200324632,155590968]),
    [] ).

cnf(155508800,plain,
    ~ greater(tc,tb),
    inference(rewrite,[status(thm)],[t17_FOL]),
    [] ).

cnf(201059104,plain,
    ( ~ inertia(x,A,ta)
    | ~ inertia(y,B,ta) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[155570744,201018808,155508800]),
    [] ).

cnf(201506576,plain,
    ~ inertia(x,A,ta),
    inference(resolution,[status(thm)],[195632440,201059104]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[196925656,201506576]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(mp5,plain,(~organization(A,B)|inertia(A,i(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT017+1.tptp',unknown),[]).
% 
% cnf(155258744,plain,(~organization(A,B)|inertia(A,i(A,B),B)),inference(rewrite,[status(thm)],[mp5]),[]).
% 
% fof(t17_FOL,plain,((organization(x,ta)&organization(y,ta)&organization(y,tc)&class(x,c,ta)&class(y,c,ta)&reorganization(x,ta,tb)&reorganization(y,ta,tc)&reorganization_type(x,rt,ta)&reorganization_type(y,rt,ta)&size(x,s1,ta)&size(y,s2,ta)&greater(s2,s1)&~greater(tc,tb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT017+1.tptp',unknown),[]).
% 
% cnf(155613920,plain,(organization(x,ta)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(196925656,plain,(inertia(x,i(x,ta),ta)),inference(resolution,[status(thm)],[155258744,155613920]),[]).
% 
% cnf(155606928,plain,(organization(y,ta)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(195632440,plain,(inertia(y,i(y,ta),ta)),inference(resolution,[status(thm)],[155258744,155606928]),[]).
% 
% cnf(155570744,plain,(reorganization(x,ta,tb)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(155579272,plain,(class(y,c,ta)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(155538656,plain,(size(x,s1,ta)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(155526968,plain,(size(y,s2,ta)),inference(rewrite,[status(thm)],[t17_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/MGT017+1.tptp',unknown),[]).
% 
% cnf(155309832,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(155517936,plain,(greater(s2,s1)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(195245528,plain,(~organization(A,F)|~organization(B,G)|~class(A,C,F)|~class(B,C,G)|~size(A,s1,F)|~size(B,s2,G)|~inertia(A,D,F)|~inertia(B,E,G)|greater(E,D)),inference(resolution,[status(thm)],[155309832,155517936]),[]).
% 
% cnf(195699216,plain,(~organization(A,E)|~class(A,B,E)|~class(y,B,ta)|~size(A,s1,E)|~inertia(A,C,E)|~inertia(y,D,ta)|greater(D,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155526968,195245528,155606928]),[]).
% 
% cnf(196069424,plain,(~class(x,A,ta)|~class(y,A,ta)|~inertia(x,B,ta)|~inertia(y,C,ta)|greater(C,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155538656,195699216,155613920]),[]).
% 
% cnf(155563296,plain,(reorganization(y,ta,tc)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(155547280,plain,(reorganization_type(y,rt,ta)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% fof(a13_FOL,plain,(~organization(A,G)|~organization(B,G)|~organization(B,I)|~class(A,D,G)|~class(B,D,G)|~reorganization(A,G,H)|~reorganization(B,G,I)|~reorganization_type(A,C,G)|~reorganization_type(B,C,G)|~inertia(A,E,G)|~inertia(B,F,G)|~greater(F,E)|greater(I,H)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT017+1.tptp',unknown),[]).
% 
% cnf(155351008,plain,(~organization(A,G)|~organization(B,G)|~organization(B,I)|~class(A,D,G)|~class(B,D,G)|~reorganization(A,G,H)|~reorganization(B,G,I)|~reorganization_type(A,C,G)|~reorganization_type(B,C,G)|~inertia(A,E,G)|~inertia(B,F,G)|~greater(F,E)|greater(I,H)),inference(rewrite,[status(thm)],[a13_FOL]),[]).
% 
% cnf(155554736,plain,(reorganization_type(x,rt,ta)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(200275168,plain,(~organization(A,ta)|~organization(A,F)|~class(x,B,ta)|~class(A,B,ta)|~reorganization(x,ta,E)|~reorganization(A,ta,F)|~reorganization_type(A,rt,ta)|~inertia(x,C,ta)|~inertia(A,D,ta)|~greater(D,C)|greater(F,E)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155613920,155351008,155554736]),[]).
% 
% cnf(155599464,plain,(organization(y,tc)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(200324632,plain,(~class(x,A,ta)|~class(y,A,ta)|~reorganization(x,ta,D)|~inertia(x,B,ta)|~inertia(y,C,ta)|greater(tc,D)),inference(forward_subsumption_resolution__resolution,[status(thm)],[196069424,155606928,155563296,155547280,200275168,155599464]),[]).
% 
% cnf(155590968,plain,(class(x,c,ta)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(201018808,plain,(~reorganization(x,ta,C)|~inertia(x,A,ta)|~inertia(y,B,ta)|greater(tc,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155579272,200324632,155590968]),[]).
% 
% cnf(155508800,plain,(~greater(tc,tb)),inference(rewrite,[status(thm)],[t17_FOL]),[]).
% 
% cnf(201059104,plain,(~inertia(x,A,ta)|~inertia(y,B,ta)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155570744,201018808,155508800]),[]).
% 
% cnf(201506576,plain,(~inertia(x,A,ta)),inference(resolution,[status(thm)],[195632440,201059104]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[196925656,201506576]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------