TSTP Solution File: MGT018+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT018+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 14:00:29 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/MGT018+1.tptp',unknown),
[] ).
cnf(153866048,plain,
( ~ organization(A,B)
| inertia(A,i(A,B),B) ),
inference(rewrite,[status(thm)],[mp5]),
[] ).
fof(t18_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(tb,tc) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018+1.tptp',unknown),
[] ).
cnf(154225560,plain,
organization(x,ta),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(194237400,plain,
inertia(x,i(x,ta),ta),
inference(resolution,[status(thm)],[153866048,154225560]),
[] ).
cnf(154218320,plain,
organization(y,ta),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(193899584,plain,
inertia(y,i(y,ta),ta),
inference(resolution,[status(thm)],[153866048,154218320]),
[] ).
cnf(154182192,plain,
reorganization(x,ta,tb),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(154190720,plain,
class(y,c,ta),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(154138432,plain,
size(y,s2,ta),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(154150104,plain,
size(x,s1,ta),
inference(rewrite,[status(thm)],[t18_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/MGT018+1.tptp',unknown),
[] ).
cnf(153917136,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(194280640,plain,
( ~ organization(A,G)
| ~ class(x,B,ta)
| ~ class(A,B,G)
| ~ size(x,C,ta)
| ~ size(A,D,G)
| ~ inertia(x,E,ta)
| ~ inertia(A,F,G)
| ~ greater(D,C)
| greater(F,E) ),
inference(resolution,[status(thm)],[153917136,154225560]),
[] ).
cnf(194378312,plain,
( ~ class(x,A,ta)
| ~ class(y,A,ta)
| ~ size(x,B,ta)
| ~ size(y,C,ta)
| ~ inertia(x,D,ta)
| ~ inertia(y,E,ta)
| ~ greater(C,B)
| greater(E,D) ),
inference(resolution,[status(thm)],[194280640,154218320]),
[] ).
cnf(154129368,plain,
greater(s2,s1),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(194386920,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)],[154138432,154150104,194378312,154129368]),
[] ).
cnf(154158728,plain,
reorganization_type(y,rt,ta),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(154209368,plain,
~ organization(y,tc),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
fof(a14_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(H,I) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018+1.tptp',unknown),
[] ).
cnf(153958312,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(H,I) ),
inference(rewrite,[status(thm)],[a14_FOL]),
[] ).
cnf(154174744,plain,
reorganization(y,ta,tc),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(198190544,plain,
( ~ organization(A,ta)
| ~ class(A,C,ta)
| ~ class(y,C,ta)
| ~ reorganization(A,ta,F)
| ~ reorganization_type(A,B,ta)
| ~ reorganization_type(y,B,ta)
| ~ inertia(A,D,ta)
| ~ inertia(y,E,ta)
| ~ greater(E,D)
| greater(F,tc) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154218320,154209368,153958312,154174744]),
[] ).
cnf(154166184,plain,
reorganization_type(x,rt,ta),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(198249360,plain,
( ~ class(x,A,ta)
| ~ class(y,A,ta)
| ~ reorganization(x,ta,D)
| ~ inertia(x,B,ta)
| ~ inertia(y,C,ta)
| greater(D,tc) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[194386920,154158728,154225560,198190544,154166184]),
[] ).
cnf(154202416,plain,
class(x,c,ta),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(198861784,plain,
( ~ reorganization(x,ta,C)
| ~ inertia(x,A,ta)
| ~ inertia(y,B,ta)
| greater(C,tc) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154190720,198249360,154202416]),
[] ).
cnf(154120240,plain,
~ greater(tb,tc),
inference(rewrite,[status(thm)],[t18_FOL]),
[] ).
cnf(198880768,plain,
( ~ inertia(x,A,ta)
| ~ inertia(y,B,ta) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154182192,198861784,154120240]),
[] ).
cnf(200129912,plain,
~ inertia(x,A,ta),
inference(resolution,[status(thm)],[193899584,198880768]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[194237400,200129912]),
[] ).
%------------------------------------------------------------------------------
%----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/MGT018+1.tptp',unknown),[]).
%
% cnf(153866048,plain,(~organization(A,B)|inertia(A,i(A,B),B)),inference(rewrite,[status(thm)],[mp5]),[]).
%
% fof(t18_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(tb,tc))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018+1.tptp',unknown),[]).
%
% cnf(154225560,plain,(organization(x,ta)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(194237400,plain,(inertia(x,i(x,ta),ta)),inference(resolution,[status(thm)],[153866048,154225560]),[]).
%
% cnf(154218320,plain,(organization(y,ta)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(193899584,plain,(inertia(y,i(y,ta),ta)),inference(resolution,[status(thm)],[153866048,154218320]),[]).
%
% cnf(154182192,plain,(reorganization(x,ta,tb)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(154190720,plain,(class(y,c,ta)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(154138432,plain,(size(y,s2,ta)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(154150104,plain,(size(x,s1,ta)),inference(rewrite,[status(thm)],[t18_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/MGT018+1.tptp',unknown),[]).
%
% cnf(153917136,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(194280640,plain,(~organization(A,G)|~class(x,B,ta)|~class(A,B,G)|~size(x,C,ta)|~size(A,D,G)|~inertia(x,E,ta)|~inertia(A,F,G)|~greater(D,C)|greater(F,E)),inference(resolution,[status(thm)],[153917136,154225560]),[]).
%
% cnf(194378312,plain,(~class(x,A,ta)|~class(y,A,ta)|~size(x,B,ta)|~size(y,C,ta)|~inertia(x,D,ta)|~inertia(y,E,ta)|~greater(C,B)|greater(E,D)),inference(resolution,[status(thm)],[194280640,154218320]),[]).
%
% cnf(154129368,plain,(greater(s2,s1)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(194386920,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)],[154138432,154150104,194378312,154129368]),[]).
%
% cnf(154158728,plain,(reorganization_type(y,rt,ta)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(154209368,plain,(~organization(y,tc)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% fof(a14_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(H,I)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT018+1.tptp',unknown),[]).
%
% cnf(153958312,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(H,I)),inference(rewrite,[status(thm)],[a14_FOL]),[]).
%
% cnf(154174744,plain,(reorganization(y,ta,tc)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(198190544,plain,(~organization(A,ta)|~class(A,C,ta)|~class(y,C,ta)|~reorganization(A,ta,F)|~reorganization_type(A,B,ta)|~reorganization_type(y,B,ta)|~inertia(A,D,ta)|~inertia(y,E,ta)|~greater(E,D)|greater(F,tc)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154218320,154209368,153958312,154174744]),[]).
%
% cnf(154166184,plain,(reorganization_type(x,rt,ta)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(198249360,plain,(~class(x,A,ta)|~class(y,A,ta)|~reorganization(x,ta,D)|~inertia(x,B,ta)|~inertia(y,C,ta)|greater(D,tc)),inference(forward_subsumption_resolution__resolution,[status(thm)],[194386920,154158728,154225560,198190544,154166184]),[]).
%
% cnf(154202416,plain,(class(x,c,ta)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(198861784,plain,(~reorganization(x,ta,C)|~inertia(x,A,ta)|~inertia(y,B,ta)|greater(C,tc)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154190720,198249360,154202416]),[]).
%
% cnf(154120240,plain,(~greater(tb,tc)),inference(rewrite,[status(thm)],[t18_FOL]),[]).
%
% cnf(198880768,plain,(~inertia(x,A,ta)|~inertia(y,B,ta)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154182192,198861784,154120240]),[]).
%
% cnf(200129912,plain,(~inertia(x,A,ta)),inference(resolution,[status(thm)],[193899584,198880768]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[194237400,200129912]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------