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 v2.4.0.
% 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 : Unsatisfiable 2.3s
% Output : Refutation 2.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 40 ( 26 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 146 ( 74 ~; 72 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 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 : 67 ( 5 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t9_FOL_6,plain,
organization(sk3,sk10),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166947160,plain,
organization(sk3,sk10),
inference(rewrite,[status(thm)],[t9_FOL_6]),
[] ).
fof(t9_FOL_5,plain,
organization(sk2,sk9),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166845424,plain,
organization(sk2,sk9),
inference(rewrite,[status(thm)],[t9_FOL_5]),
[] ).
fof(t9_FOL_10,plain,
class(sk3,sk4,sk10),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166969392,plain,
class(sk3,sk4,sk10),
inference(rewrite,[status(thm)],[t9_FOL_10]),
[] ).
fof(t9_FOL_14,plain,
size(sk3,sk8,sk10),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166844880,plain,
size(sk3,sk8,sk10),
inference(rewrite,[status(thm)],[t9_FOL_14]),
[] ).
fof(t9_FOL_13,plain,
size(sk2,sk7,sk9),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166983104,plain,
size(sk2,sk7,sk9),
inference(rewrite,[status(thm)],[t9_FOL_13]),
[] ).
fof(a5_FOL_4,plain,
! [A,B,C,D,E,F,G,H,I] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166933928,plain,
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) ),
inference(rewrite,[status(thm)],[a5_FOL_4]),
[] ).
cnf(204086640,plain,
( ~ organization(A,B)
| ~ class(sk2,C,sk9)
| ~ class(A,C,B)
| ~ size(sk2,D,sk9)
| ~ size(A,E,B)
| ~ inertia(sk2,F,sk9)
| ~ inertia(A,G,B)
| ~ greater(E,D)
| greater(G,F) ),
inference(resolution,[status(thm)],[166933928,166845424]),
[] ).
cnf(204211400,plain,
( ~ class(sk2,A,sk9)
| ~ class(sk3,A,sk10)
| ~ size(sk2,B,sk9)
| ~ size(sk3,C,sk10)
| ~ inertia(sk2,D,sk9)
| ~ inertia(sk3,E,sk10)
| ~ greater(C,B)
| greater(E,D) ),
inference(resolution,[status(thm)],[204086640,166947160]),
[] ).
fof(t9_FOL_15,plain,
greater(sk8,sk7),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166996192,plain,
greater(sk8,sk7),
inference(rewrite,[status(thm)],[t9_FOL_15]),
[] ).
cnf(204358024,plain,
( ~ class(sk2,A,sk9)
| ~ class(sk3,A,sk10)
| ~ inertia(sk2,B,sk9)
| ~ inertia(sk3,C,sk10)
| greater(C,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166844880,166983104,204211400,166996192]),
[] ).
fof(t9_FOL_9,plain,
class(sk2,sk4,sk9),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166960888,plain,
class(sk2,sk4,sk9),
inference(rewrite,[status(thm)],[t9_FOL_9]),
[] ).
cnf(204460280,plain,
( ~ inertia(sk2,A,sk9)
| ~ inertia(sk3,B,sk10)
| greater(B,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166969392,204358024,166960888]),
[] ).
fof(t9_FOL_8,plain,
reorganization_free(sk3,sk10,sk10),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166956200,plain,
reorganization_free(sk3,sk10,sk10),
inference(rewrite,[status(thm)],[t9_FOL_8]),
[] ).
fof(t9_FOL_7,plain,
reorganization_free(sk2,sk9,sk9),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166951928,plain,
reorganization_free(sk2,sk9,sk9),
inference(rewrite,[status(thm)],[t9_FOL_7]),
[] ).
fof(a3_FOL_3,plain,
! [A,B,C,D,E,F,G,H] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D)
| ~ greater(H,G)
| greater(F,E) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166903136,plain,
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ reproducibility(A,E,B)
| ~ reproducibility(C,F,D)
| ~ inertia(A,G,B)
| ~ inertia(C,H,D)
| ~ greater(H,G)
| greater(F,E) ),
inference(rewrite,[status(thm)],[a3_FOL_3]),
[] ).
cnf(204047712,plain,
( ~ organization(A,B)
| ~ reorganization_free(A,B,B)
| ~ reproducibility(sk2,C,sk9)
| ~ reproducibility(A,D,B)
| ~ inertia(sk2,E,sk9)
| ~ inertia(A,F,B)
| ~ greater(F,E)
| greater(D,C) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166951928,166903136,166845424]),
[] ).
fof(t9_FOL_12,plain,
reproducibility(sk3,sk6,sk10),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166978432,plain,
reproducibility(sk3,sk6,sk10),
inference(rewrite,[status(thm)],[t9_FOL_12]),
[] ).
cnf(214045304,plain,
( ~ reproducibility(sk2,A,sk9)
| ~ inertia(sk2,B,sk9)
| ~ inertia(sk3,C,sk10)
| greater(sk6,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[204460280,166947160,166956200,204047712,166978432]),
[] ).
fof(t9_FOL_11,plain,
reproducibility(sk2,sk5,sk9),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166974080,plain,
reproducibility(sk2,sk5,sk9),
inference(rewrite,[status(thm)],[t9_FOL_11]),
[] ).
cnf(214235112,plain,
( ~ inertia(sk2,A,sk9)
| ~ inertia(sk3,B,sk10)
| greater(sk6,sk5) ),
inference(resolution,[status(thm)],[214045304,166974080]),
[] ).
fof(mp5_1,plain,
! [A,B] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(166850240,plain,
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(rewrite,[status(thm)],[mp5_1]),
[] ).
cnf(215808080,plain,
( ~ inertia(sk3,A,sk10)
| greater(sk6,sk5) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166845424,214235112,166850240]),
[] ).
cnf(214910816,plain,
greater(sk6,sk5),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166947160,215808080,166850240]),
[] ).
fof(t9_FOL_16,plain,
~ greater(sk6,sk5),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),
[] ).
cnf(167001328,plain,
~ greater(sk6,sk5),
inference(rewrite,[status(thm)],[t9_FOL_16]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[214910816,167001328]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(t9_FOL_6,plain,(organization(sk3,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166947160,plain,(organization(sk3,sk10)),inference(rewrite,[status(thm)],[t9_FOL_6]),[]).
%
% fof(t9_FOL_5,plain,(organization(sk2,sk9)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166845424,plain,(organization(sk2,sk9)),inference(rewrite,[status(thm)],[t9_FOL_5]),[]).
%
% fof(t9_FOL_10,plain,(class(sk3,sk4,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166969392,plain,(class(sk3,sk4,sk10)),inference(rewrite,[status(thm)],[t9_FOL_10]),[]).
%
% fof(t9_FOL_14,plain,(size(sk3,sk8,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166844880,plain,(size(sk3,sk8,sk10)),inference(rewrite,[status(thm)],[t9_FOL_14]),[]).
%
% fof(t9_FOL_13,plain,(size(sk2,sk7,sk9)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166983104,plain,(size(sk2,sk7,sk9)),inference(rewrite,[status(thm)],[t9_FOL_13]),[]).
%
% fof(a5_FOL_4,plain,(~organization(A,B)|~organization(C,D)|~class(A,E,B)|~class(C,E,D)|~size(A,F,B)|~size(C,G,D)|~inertia(A,H,B)|~inertia(C,I,D)|~greater(G,F)|greater(I,H)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166933928,plain,(~organization(A,B)|~organization(C,D)|~class(A,E,B)|~class(C,E,D)|~size(A,F,B)|~size(C,G,D)|~inertia(A,H,B)|~inertia(C,I,D)|~greater(G,F)|greater(I,H)),inference(rewrite,[status(thm)],[a5_FOL_4]),[]).
%
% cnf(204086640,plain,(~organization(A,B)|~class(sk2,C,sk9)|~class(A,C,B)|~size(sk2,D,sk9)|~size(A,E,B)|~inertia(sk2,F,sk9)|~inertia(A,G,B)|~greater(E,D)|greater(G,F)),inference(resolution,[status(thm)],[166933928,166845424]),[]).
%
% cnf(204211400,plain,(~class(sk2,A,sk9)|~class(sk3,A,sk10)|~size(sk2,B,sk9)|~size(sk3,C,sk10)|~inertia(sk2,D,sk9)|~inertia(sk3,E,sk10)|~greater(C,B)|greater(E,D)),inference(resolution,[status(thm)],[204086640,166947160]),[]).
%
% fof(t9_FOL_15,plain,(greater(sk8,sk7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166996192,plain,(greater(sk8,sk7)),inference(rewrite,[status(thm)],[t9_FOL_15]),[]).
%
% cnf(204358024,plain,(~class(sk2,A,sk9)|~class(sk3,A,sk10)|~inertia(sk2,B,sk9)|~inertia(sk3,C,sk10)|greater(C,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166844880,166983104,204211400,166996192]),[]).
%
% fof(t9_FOL_9,plain,(class(sk2,sk4,sk9)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166960888,plain,(class(sk2,sk4,sk9)),inference(rewrite,[status(thm)],[t9_FOL_9]),[]).
%
% cnf(204460280,plain,(~inertia(sk2,A,sk9)|~inertia(sk3,B,sk10)|greater(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166969392,204358024,166960888]),[]).
%
% fof(t9_FOL_8,plain,(reorganization_free(sk3,sk10,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166956200,plain,(reorganization_free(sk3,sk10,sk10)),inference(rewrite,[status(thm)],[t9_FOL_8]),[]).
%
% fof(t9_FOL_7,plain,(reorganization_free(sk2,sk9,sk9)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166951928,plain,(reorganization_free(sk2,sk9,sk9)),inference(rewrite,[status(thm)],[t9_FOL_7]),[]).
%
% fof(a3_FOL_3,plain,(~organization(A,B)|~organization(C,D)|~reorganization_free(A,B,B)|~reorganization_free(C,D,D)|~reproducibility(A,E,B)|~reproducibility(C,F,D)|~inertia(A,G,B)|~inertia(C,H,D)|~greater(H,G)|greater(F,E)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166903136,plain,(~organization(A,B)|~organization(C,D)|~reorganization_free(A,B,B)|~reorganization_free(C,D,D)|~reproducibility(A,E,B)|~reproducibility(C,F,D)|~inertia(A,G,B)|~inertia(C,H,D)|~greater(H,G)|greater(F,E)),inference(rewrite,[status(thm)],[a3_FOL_3]),[]).
%
% cnf(204047712,plain,(~organization(A,B)|~reorganization_free(A,B,B)|~reproducibility(sk2,C,sk9)|~reproducibility(A,D,B)|~inertia(sk2,E,sk9)|~inertia(A,F,B)|~greater(F,E)|greater(D,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166951928,166903136,166845424]),[]).
%
% fof(t9_FOL_12,plain,(reproducibility(sk3,sk6,sk10)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166978432,plain,(reproducibility(sk3,sk6,sk10)),inference(rewrite,[status(thm)],[t9_FOL_12]),[]).
%
% cnf(214045304,plain,(~reproducibility(sk2,A,sk9)|~inertia(sk2,B,sk9)|~inertia(sk3,C,sk10)|greater(sk6,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[204460280,166947160,166956200,204047712,166978432]),[]).
%
% fof(t9_FOL_11,plain,(reproducibility(sk2,sk5,sk9)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166974080,plain,(reproducibility(sk2,sk5,sk9)),inference(rewrite,[status(thm)],[t9_FOL_11]),[]).
%
% cnf(214235112,plain,(~inertia(sk2,A,sk9)|~inertia(sk3,B,sk10)|greater(sk6,sk5)),inference(resolution,[status(thm)],[214045304,166974080]),[]).
%
% fof(mp5_1,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(166850240,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),inference(rewrite,[status(thm)],[mp5_1]),[]).
%
% cnf(215808080,plain,(~inertia(sk3,A,sk10)|greater(sk6,sk5)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166845424,214235112,166850240]),[]).
%
% cnf(214910816,plain,(greater(sk6,sk5)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166947160,215808080,166850240]),[]).
%
% fof(t9_FOL_16,plain,(~greater(sk6,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009-1.tptp',unknown),[]).
%
% cnf(167001328,plain,(~greater(sk6,sk5)),inference(rewrite,[status(thm)],[t9_FOL_16]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[214910816,167001328]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------