TSTP Solution File: MGT011-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT011-1 : TPTP v3.4.2. Released v2.4.0.
% 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 13:59:56 EDT 2009
% Result : Unsatisfiable 0.8s
% Output : Refutation 0.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 23 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 169 ( 86 ~; 83 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t11_FOL_28,plain,
organization(sk3,sk7),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142322056,plain,
organization(sk3,sk7),
inference(rewrite,[status(thm)],[t11_FOL_28]),
[] ).
fof(t11_FOL_33,plain,
greater(sk4,sk5),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142348576,plain,
greater(sk4,sk5),
inference(rewrite,[status(thm)],[t11_FOL_33]),
[] ).
fof(mp6_2_22,plain,
! [A,B] :
( ~ greater(A,B)
| ~ greater(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142233856,plain,
( ~ greater(A,B)
| ~ greater(B,A) ),
inference(rewrite,[status(thm)],[mp6_2_22]),
[] ).
fof(mp5_20,plain,
! [A,B] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142214296,plain,
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
inference(rewrite,[status(thm)],[mp5_20]),
[] ).
cnf(166878344,plain,
inertia(sk3,sk1(sk7,sk3),sk7),
inference(resolution,[status(thm)],[142214296,142322056]),
[] ).
fof(t11_FOL_27,plain,
organization(sk3,sk6),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142313744,plain,
organization(sk3,sk6),
inference(rewrite,[status(thm)],[t11_FOL_27]),
[] ).
cnf(166045296,plain,
inertia(sk3,sk1(sk6,sk3),sk6),
inference(resolution,[status(thm)],[142214296,142313744]),
[] ).
fof(t11_FOL_32,plain,
greater(sk7,sk6),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142209776,plain,
greater(sk7,sk6),
inference(rewrite,[status(thm)],[t11_FOL_32]),
[] ).
fof(t11_FOL_29,plain,
reorganization_free(sk3,sk6,sk7),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142326552,plain,
reorganization_free(sk3,sk6,sk7),
inference(rewrite,[status(thm)],[t11_FOL_29]),
[] ).
fof(t2_FOL_26,plain,
! [A,B,C,D,E] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B)
| greater(E,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142309008,plain,
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B)
| greater(E,D) ),
inference(rewrite,[status(thm)],[t2_FOL_26]),
[] ).
cnf(166183624,plain,
( ~ organization(sk3,A)
| ~ reorganization_free(sk3,sk6,A)
| ~ inertia(sk3,B,sk6)
| ~ inertia(sk3,C,A)
| ~ greater(A,sk6)
| greater(C,B) ),
inference(resolution,[status(thm)],[142309008,142313744]),
[] ).
cnf(166368696,plain,
( ~ inertia(sk3,A,sk6)
| ~ inertia(sk3,B,sk7)
| greater(B,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[142209776,142326552,166183624,142322056]),
[] ).
cnf(171746120,plain,
( ~ inertia(sk3,A,sk7)
| greater(A,sk1(sk6,sk3)) ),
inference(resolution,[status(thm)],[166045296,166368696]),
[] ).
cnf(172122312,plain,
greater(sk1(sk7,sk3),sk1(sk6,sk3)),
inference(resolution,[status(thm)],[166878344,171746120]),
[] ).
cnf(172353704,plain,
~ greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(resolution,[status(thm)],[142233856,172122312]),
[] ).
fof(mp10_24,plain,
! [A,B,C,D,E] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B)
| ~ class(A,E,C)
| $equal(E,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142262528,plain,
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B)
| ~ class(A,E,C)
| $equal(E,D) ),
inference(rewrite,[status(thm)],[mp10_24]),
[] ).
cnf(166109576,plain,
( ~ organization(sk3,A)
| ~ reorganization_free(sk3,sk6,A)
| ~ class(sk3,B,sk6)
| ~ class(sk3,C,A)
| $equal(C,B) ),
inference(resolution,[status(thm)],[142262528,142313744]),
[] ).
cnf(166331728,plain,
( ~ class(sk3,A,sk6)
| ~ class(sk3,B,sk7)
| $equal(B,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[142326552,166109576,142322056]),
[] ).
fof(mp9_23,plain,
! [A,B] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142243032,plain,
( ~ organization(A,B)
| class(A,sk2(B,A),B) ),
inference(rewrite,[status(thm)],[mp9_23]),
[] ).
cnf(166060840,plain,
class(sk3,sk2(sk6,sk3),sk6),
inference(resolution,[status(thm)],[142243032,142313744]),
[] ).
cnf(167121464,plain,
( ~ class(sk3,A,sk7)
| $equal(A,sk2(sk6,sk3)) ),
inference(resolution,[status(thm)],[166331728,166060840]),
[] ).
cnf(166894264,plain,
class(sk3,sk2(sk7,sk3),sk7),
inference(resolution,[status(thm)],[142243032,142322056]),
[] ).
cnf(167160856,plain,
$equal(sk2(sk7,sk3),sk2(sk6,sk3)),
inference(resolution,[status(thm)],[167121464,166894264]),
[] ).
cnf(167224768,plain,
class(sk3,sk2(sk7,sk3),sk6),
inference(paramodulation,[status(thm)],[167160856,166060840,theory(equality)]),
[] ).
fof(a5_FOL_25,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/MGT011-1.tptp',unknown),
[] ).
cnf(142298840,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_25]),
[] ).
fof(t11_FOL_30,plain,
size(sk3,sk4,sk6),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142331544,plain,
size(sk3,sk4,sk6),
inference(rewrite,[status(thm)],[t11_FOL_30]),
[] ).
cnf(166662864,plain,
( ~ organization(A,B)
| ~ class(A,C,B)
| ~ class(sk3,C,sk6)
| ~ size(A,D,B)
| ~ inertia(A,E,B)
| ~ inertia(sk3,F,sk6)
| ~ greater(sk4,D)
| greater(F,E) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[142313744,142298840,142331544]),
[] ).
cnf(176511912,plain,
( ~ organization(A,B)
| ~ class(A,C,B)
| ~ class(sk3,C,sk6)
| ~ size(A,D,B)
| ~ inertia(sk3,E,sk6)
| ~ greater(sk4,D)
| greater(E,sk1(B,A)) ),
inference(resolution,[status(thm)],[166662864,142214296]),
[] ).
cnf(176744152,plain,
( ~ organization(A,B)
| ~ class(A,C,B)
| ~ class(sk3,C,sk6)
| ~ size(A,D,B)
| ~ greater(sk4,D)
| greater(sk1(sk6,sk3),sk1(B,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[142313744,176511912,142214296]),
[] ).
cnf(178234360,plain,
( ~ organization(A,B)
| ~ class(sk3,sk2(B,A),sk6)
| ~ size(A,C,B)
| ~ greater(sk4,C)
| greater(sk1(sk6,sk3),sk1(B,A)) ),
inference(resolution,[status(thm)],[176744152,142243032]),
[] ).
fof(t11_FOL_31,plain,
size(sk3,sk5,sk7),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),
[] ).
cnf(142335688,plain,
size(sk3,sk5,sk7),
inference(rewrite,[status(thm)],[t11_FOL_31]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[142322056,142348576,172353704,167224768,178234360,142335688]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t11_FOL_28,plain,(organization(sk3,sk7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142322056,plain,(organization(sk3,sk7)),inference(rewrite,[status(thm)],[t11_FOL_28]),[]).
%
% fof(t11_FOL_33,plain,(greater(sk4,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142348576,plain,(greater(sk4,sk5)),inference(rewrite,[status(thm)],[t11_FOL_33]),[]).
%
% fof(mp6_2_22,plain,(~greater(A,B)|~greater(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142233856,plain,(~greater(A,B)|~greater(B,A)),inference(rewrite,[status(thm)],[mp6_2_22]),[]).
%
% fof(mp5_20,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142214296,plain,(~organization(A,B)|inertia(A,sk1(B,A),B)),inference(rewrite,[status(thm)],[mp5_20]),[]).
%
% cnf(166878344,plain,(inertia(sk3,sk1(sk7,sk3),sk7)),inference(resolution,[status(thm)],[142214296,142322056]),[]).
%
% fof(t11_FOL_27,plain,(organization(sk3,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142313744,plain,(organization(sk3,sk6)),inference(rewrite,[status(thm)],[t11_FOL_27]),[]).
%
% cnf(166045296,plain,(inertia(sk3,sk1(sk6,sk3),sk6)),inference(resolution,[status(thm)],[142214296,142313744]),[]).
%
% fof(t11_FOL_32,plain,(greater(sk7,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142209776,plain,(greater(sk7,sk6)),inference(rewrite,[status(thm)],[t11_FOL_32]),[]).
%
% fof(t11_FOL_29,plain,(reorganization_free(sk3,sk6,sk7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142326552,plain,(reorganization_free(sk3,sk6,sk7)),inference(rewrite,[status(thm)],[t11_FOL_29]),[]).
%
% fof(t2_FOL_26,plain,(~organization(A,B)|~organization(A,C)|~reorganization_free(A,B,C)|~inertia(A,D,B)|~inertia(A,E,C)|~greater(C,B)|greater(E,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142309008,plain,(~organization(A,B)|~organization(A,C)|~reorganization_free(A,B,C)|~inertia(A,D,B)|~inertia(A,E,C)|~greater(C,B)|greater(E,D)),inference(rewrite,[status(thm)],[t2_FOL_26]),[]).
%
% cnf(166183624,plain,(~organization(sk3,A)|~reorganization_free(sk3,sk6,A)|~inertia(sk3,B,sk6)|~inertia(sk3,C,A)|~greater(A,sk6)|greater(C,B)),inference(resolution,[status(thm)],[142309008,142313744]),[]).
%
% cnf(166368696,plain,(~inertia(sk3,A,sk6)|~inertia(sk3,B,sk7)|greater(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[142209776,142326552,166183624,142322056]),[]).
%
% cnf(171746120,plain,(~inertia(sk3,A,sk7)|greater(A,sk1(sk6,sk3))),inference(resolution,[status(thm)],[166045296,166368696]),[]).
%
% cnf(172122312,plain,(greater(sk1(sk7,sk3),sk1(sk6,sk3))),inference(resolution,[status(thm)],[166878344,171746120]),[]).
%
% cnf(172353704,plain,(~greater(sk1(sk6,sk3),sk1(sk7,sk3))),inference(resolution,[status(thm)],[142233856,172122312]),[]).
%
% fof(mp10_24,plain,(~organization(A,B)|~organization(A,C)|~reorganization_free(A,B,C)|~class(A,D,B)|~class(A,E,C)|$equal(E,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142262528,plain,(~organization(A,B)|~organization(A,C)|~reorganization_free(A,B,C)|~class(A,D,B)|~class(A,E,C)|$equal(E,D)),inference(rewrite,[status(thm)],[mp10_24]),[]).
%
% cnf(166109576,plain,(~organization(sk3,A)|~reorganization_free(sk3,sk6,A)|~class(sk3,B,sk6)|~class(sk3,C,A)|$equal(C,B)),inference(resolution,[status(thm)],[142262528,142313744]),[]).
%
% cnf(166331728,plain,(~class(sk3,A,sk6)|~class(sk3,B,sk7)|$equal(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[142326552,166109576,142322056]),[]).
%
% fof(mp9_23,plain,(~organization(A,B)|class(A,sk2(B,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142243032,plain,(~organization(A,B)|class(A,sk2(B,A),B)),inference(rewrite,[status(thm)],[mp9_23]),[]).
%
% cnf(166060840,plain,(class(sk3,sk2(sk6,sk3),sk6)),inference(resolution,[status(thm)],[142243032,142313744]),[]).
%
% cnf(167121464,plain,(~class(sk3,A,sk7)|$equal(A,sk2(sk6,sk3))),inference(resolution,[status(thm)],[166331728,166060840]),[]).
%
% cnf(166894264,plain,(class(sk3,sk2(sk7,sk3),sk7)),inference(resolution,[status(thm)],[142243032,142322056]),[]).
%
% cnf(167160856,plain,($equal(sk2(sk7,sk3),sk2(sk6,sk3))),inference(resolution,[status(thm)],[167121464,166894264]),[]).
%
% cnf(167224768,plain,(class(sk3,sk2(sk7,sk3),sk6)),inference(paramodulation,[status(thm)],[167160856,166060840,theory(equality)]),[]).
%
% fof(a5_FOL_25,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/MGT011-1.tptp',unknown),[]).
%
% cnf(142298840,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_25]),[]).
%
% fof(t11_FOL_30,plain,(size(sk3,sk4,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142331544,plain,(size(sk3,sk4,sk6)),inference(rewrite,[status(thm)],[t11_FOL_30]),[]).
%
% cnf(166662864,plain,(~organization(A,B)|~class(A,C,B)|~class(sk3,C,sk6)|~size(A,D,B)|~inertia(A,E,B)|~inertia(sk3,F,sk6)|~greater(sk4,D)|greater(F,E)),inference(forward_subsumption_resolution__resolution,[status(thm)],[142313744,142298840,142331544]),[]).
%
% cnf(176511912,plain,(~organization(A,B)|~class(A,C,B)|~class(sk3,C,sk6)|~size(A,D,B)|~inertia(sk3,E,sk6)|~greater(sk4,D)|greater(E,sk1(B,A))),inference(resolution,[status(thm)],[166662864,142214296]),[]).
%
% cnf(176744152,plain,(~organization(A,B)|~class(A,C,B)|~class(sk3,C,sk6)|~size(A,D,B)|~greater(sk4,D)|greater(sk1(sk6,sk3),sk1(B,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[142313744,176511912,142214296]),[]).
%
% cnf(178234360,plain,(~organization(A,B)|~class(sk3,sk2(B,A),sk6)|~size(A,C,B)|~greater(sk4,C)|greater(sk1(sk6,sk3),sk1(B,A))),inference(resolution,[status(thm)],[176744152,142243032]),[]).
%
% fof(t11_FOL_31,plain,(size(sk3,sk5,sk7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT011-1.tptp',unknown),[]).
%
% cnf(142335688,plain,(size(sk3,sk5,sk7)),inference(rewrite,[status(thm)],[t11_FOL_31]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[142322056,142348576,172353704,167224768,178234360,142335688]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------