TSTP Solution File: MGT008+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT008+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 13:59:41 EDT 2009

% Result   : Theorem 0.6s
% Output   : Refutation 0.6s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   27 (  13 unt;   0 def)
%            Number of atoms       :  104 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  145 (  68   ~;  66   |;  11   &)
%                                         (   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   :   63 (   3 sgn  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t8_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)
    & survival_chance(x,p1,t1)
    & survival_chance(y,p2,t2)
    & size(x,s1,t1)
    & size(y,s2,t2)
    & greater(s2,s1)
    & ~ greater(p2,p1) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT008+1.tptp',unknown),
    [] ).

cnf(166602792,plain,
    survival_chance(x,p1,t1),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

cnf(166647536,plain,
    organization(y,t2),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

cnf(166655000,plain,
    organization(x,t1),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

cnf(166611288,plain,
    class(y,c,t2),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

cnf(166586768,plain,
    size(x,s1,t1),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

cnf(166575080,plain,
    size(y,s2,t2),
    inference(rewrite,[status(thm)],[t8_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/MGT008+1.tptp',unknown),
    [] ).

cnf(166367928,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(166565992,plain,
    greater(s2,s1),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

cnf(203640544,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)],[166367928,166565992]),
    [] ).

cnf(203763512,plain,
    ( ~ organization(A,E)
    | ~ class(A,B,E)
    | ~ class(y,B,t2)
    | ~ size(A,s1,E)
    | ~ inertia(A,C,E)
    | ~ inertia(y,D,t2)
    | greater(D,C) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166575080,203640544,166647536]),
    [] ).

cnf(166618904,plain,
    class(x,c,t1),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

cnf(204155056,plain,
    ( ~ inertia(x,A,t1)
    | ~ inertia(y,B,t2)
    | greater(B,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166611288,166655000,166586768,203763512,166618904]),
    [] ).

cnf(166639016,plain,
    reorganization_free(x,t1,t1),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

cnf(166627440,plain,
    reorganization_free(y,t2,t2),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

fof(t1_FOL,plain,
    ! [A,C,B,D,E,F,G,H] :
      ( ~ organization(A,C)
      | ~ organization(B,D)
      | ~ reorganization_free(A,C,C)
      | ~ reorganization_free(B,D,D)
      | ~ inertia(A,E,C)
      | ~ inertia(B,F,D)
      | ~ survival_chance(A,G,C)
      | ~ survival_chance(B,H,D)
      | ~ greater(F,E)
      | greater(H,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT008+1.tptp',unknown),
    [] ).

cnf(166405584,plain,
    ( ~ organization(A,C)
    | ~ organization(B,D)
    | ~ reorganization_free(A,C,C)
    | ~ reorganization_free(B,D,D)
    | ~ inertia(A,E,C)
    | ~ inertia(B,F,D)
    | ~ survival_chance(A,G,C)
    | ~ survival_chance(B,H,D)
    | ~ greater(F,E)
    | greater(H,G) ),
    inference(rewrite,[status(thm)],[t1_FOL]),
    [] ).

cnf(166595352,plain,
    survival_chance(y,p2,t2),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

cnf(208062776,plain,
    ( ~ organization(A,B)
    | ~ reorganization_free(A,B,B)
    | ~ inertia(A,C,B)
    | ~ inertia(y,D,t2)
    | ~ survival_chance(A,E,B)
    | ~ greater(D,C)
    | greater(p2,E) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166647536,166627440,166405584,166595352]),
    [] ).

cnf(208092808,plain,
    ( ~ inertia(x,A,t1)
    | ~ inertia(y,B,t2)
    | ~ survival_chance(x,C,t1)
    | greater(p2,C) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[204155056,166639016,208062776,166655000]),
    [] ).

fof(mp5,plain,
    ! [A,B] :
      ( ~ organization(A,B)
      | inertia(A,i(A,B),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT008+1.tptp',unknown),
    [] ).

cnf(166316840,plain,
    ( ~ organization(A,B)
    | inertia(A,i(A,B),B) ),
    inference(rewrite,[status(thm)],[mp5]),
    [] ).

cnf(209309000,plain,
    ( ~ inertia(y,A,t2)
    | ~ survival_chance(x,B,t1)
    | greater(p2,B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166655000,208092808,166316840]),
    [] ).

cnf(209324944,plain,
    ( ~ survival_chance(x,A,t1)
    | greater(p2,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166647536,209309000,166316840]),
    [] ).

cnf(166556848,plain,
    ~ greater(p2,p1),
    inference(rewrite,[status(thm)],[t8_FOL]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166602792,209324944,166556848]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t8_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)&survival_chance(x,p1,t1)&survival_chance(y,p2,t2)&size(x,s1,t1)&size(y,s2,t2)&greater(s2,s1)&~greater(p2,p1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT008+1.tptp',unknown),[]).
% 
% cnf(166602792,plain,(survival_chance(x,p1,t1)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% cnf(166647536,plain,(organization(y,t2)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% cnf(166655000,plain,(organization(x,t1)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% cnf(166611288,plain,(class(y,c,t2)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% cnf(166586768,plain,(size(x,s1,t1)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% cnf(166575080,plain,(size(y,s2,t2)),inference(rewrite,[status(thm)],[t8_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/MGT008+1.tptp',unknown),[]).
% 
% cnf(166367928,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(166565992,plain,(greater(s2,s1)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% cnf(203640544,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)],[166367928,166565992]),[]).
% 
% cnf(203763512,plain,(~organization(A,E)|~class(A,B,E)|~class(y,B,t2)|~size(A,s1,E)|~inertia(A,C,E)|~inertia(y,D,t2)|greater(D,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166575080,203640544,166647536]),[]).
% 
% cnf(166618904,plain,(class(x,c,t1)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% cnf(204155056,plain,(~inertia(x,A,t1)|~inertia(y,B,t2)|greater(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166611288,166655000,166586768,203763512,166618904]),[]).
% 
% cnf(166639016,plain,(reorganization_free(x,t1,t1)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% cnf(166627440,plain,(reorganization_free(y,t2,t2)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% fof(t1_FOL,plain,(~organization(A,C)|~organization(B,D)|~reorganization_free(A,C,C)|~reorganization_free(B,D,D)|~inertia(A,E,C)|~inertia(B,F,D)|~survival_chance(A,G,C)|~survival_chance(B,H,D)|~greater(F,E)|greater(H,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT008+1.tptp',unknown),[]).
% 
% cnf(166405584,plain,(~organization(A,C)|~organization(B,D)|~reorganization_free(A,C,C)|~reorganization_free(B,D,D)|~inertia(A,E,C)|~inertia(B,F,D)|~survival_chance(A,G,C)|~survival_chance(B,H,D)|~greater(F,E)|greater(H,G)),inference(rewrite,[status(thm)],[t1_FOL]),[]).
% 
% cnf(166595352,plain,(survival_chance(y,p2,t2)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% cnf(208062776,plain,(~organization(A,B)|~reorganization_free(A,B,B)|~inertia(A,C,B)|~inertia(y,D,t2)|~survival_chance(A,E,B)|~greater(D,C)|greater(p2,E)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166647536,166627440,166405584,166595352]),[]).
% 
% cnf(208092808,plain,(~inertia(x,A,t1)|~inertia(y,B,t2)|~survival_chance(x,C,t1)|greater(p2,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[204155056,166639016,208062776,166655000]),[]).
% 
% fof(mp5,plain,(~organization(A,B)|inertia(A,i(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT008+1.tptp',unknown),[]).
% 
% cnf(166316840,plain,(~organization(A,B)|inertia(A,i(A,B),B)),inference(rewrite,[status(thm)],[mp5]),[]).
% 
% cnf(209309000,plain,(~inertia(y,A,t2)|~survival_chance(x,B,t1)|greater(p2,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166655000,208092808,166316840]),[]).
% 
% cnf(209324944,plain,(~survival_chance(x,A,t1)|greater(p2,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166647536,209309000,166316840]),[]).
% 
% cnf(166556848,plain,(~greater(p2,p1)),inference(rewrite,[status(thm)],[t8_FOL]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[166602792,209324944,166556848]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------