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 v2.0.0.
% 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 : Theorem 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 163 ( 78 ~; 73 |; 12 &)
% ( 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 : 60 ( 1 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t9_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)
& reproducibility(x,rp1,t1)
& reproducibility(y,rp2,t2)
& size(x,s1,t1)
& size(y,s2,t2)
& greater(s2,s1)
& ~ greater(rp2,rp1) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),
[] ).
cnf(161088296,plain,
size(y,s2,t2),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
cnf(161156680,plain,
organization(y,t2),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
cnf(161067576,plain,
~ greater(rp2,rp1),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
cnf(161164120,plain,
organization(x,t1),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
cnf(161148176,plain,
reorganization_free(x,t1,t1),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
cnf(161140688,plain,
reorganization_free(y,t2,t2),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
fof(a3_FOL,plain,
! [F,E,H,G,A,C,B,D] :
( ( greater(F,E)
| ~ greater(H,G)
| ~ organization(A,C)
| ~ organization(B,D)
| ~ reorganization_free(A,C,C)
| ~ reorganization_free(B,D,D)
| ~ reproducibility(A,E,C)
| ~ reproducibility(B,F,D)
| ~ inertia(A,G,C)
| ~ inertia(B,H,D) )
& ( ~ greater(F,E)
| greater(H,G)
| ~ organization(A,C)
| ~ organization(B,D)
| ~ reorganization_free(A,C,C)
| ~ reorganization_free(B,D,D)
| ~ reproducibility(A,E,C)
| ~ reproducibility(B,F,D)
| ~ inertia(A,G,C)
| ~ inertia(B,H,D) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),
[] ).
cnf(160887128,plain,
( greater(F,E)
| ~ greater(H,G)
| ~ organization(A,C)
| ~ organization(B,D)
| ~ reorganization_free(A,C,C)
| ~ reorganization_free(B,D,D)
| ~ reproducibility(A,E,C)
| ~ reproducibility(B,F,D)
| ~ inertia(A,G,C)
| ~ inertia(B,H,D) ),
inference(rewrite,[status(thm)],[a3_FOL]),
[] ).
cnf(161104488,plain,
reproducibility(y,rp2,t2),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
cnf(200255384,plain,
( greater(rp2,C)
| ~ greater(E,D)
| ~ organization(A,B)
| ~ reorganization_free(A,B,B)
| ~ reproducibility(A,C,B)
| ~ inertia(A,D,B)
| ~ inertia(y,E,t2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[161140688,161156680,160887128,161104488]),
[] ).
fof(mp5,plain,
! [A,B] :
( ~ organization(A,B)
| inertia(A,i(A,B),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),
[] ).
cnf(160807784,plain,
( ~ organization(A,B)
| inertia(A,i(A,B),B) ),
inference(rewrite,[status(thm)],[mp5]),
[] ).
cnf(201870120,plain,
( greater(rp2,C)
| ~ greater(D,i(A,B))
| ~ organization(A,B)
| ~ reorganization_free(A,B,B)
| ~ reproducibility(A,C,B)
| ~ inertia(y,D,t2) ),
inference(resolution,[status(thm)],[200255384,160807784]),
[] ).
cnf(161111912,plain,
reproducibility(x,rp1,t1),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
cnf(201903776,plain,
( ~ greater(A,i(x,t1))
| ~ inertia(y,A,t2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[161067576,161164120,161148176,201870120,161111912]),
[] ).
cnf(161128064,plain,
class(x,c,t1),
inference(rewrite,[status(thm)],[t9_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/MGT009+1.tptp',unknown),
[] ).
cnf(160923736,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(161095888,plain,
size(x,s1,t1),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
cnf(199478336,plain,
( ~ organization(A,F)
| ~ class(x,B,t1)
| ~ class(A,B,F)
| ~ size(A,C,F)
| ~ inertia(x,D,t1)
| ~ inertia(A,E,F)
| ~ greater(C,s1)
| greater(E,D) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[161164120,160923736,161095888]),
[] ).
cnf(161120448,plain,
class(y,c,t2),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
cnf(199648856,plain,
( ~ size(y,A,t2)
| ~ inertia(x,B,t1)
| ~ inertia(y,C,t2)
| ~ greater(A,s1)
| greater(C,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[161128064,161156680,199478336,161120448]),
[] ).
cnf(202908336,plain,
( ~ size(y,A,t2)
| ~ inertia(y,B,t2)
| ~ greater(A,s1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[201903776,161164120,199648856,160807784]),
[] ).
cnf(202923624,plain,
( ~ size(y,A,t2)
| ~ greater(A,s1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[161156680,202908336,160807784]),
[] ).
cnf(161075120,plain,
greater(s2,s1),
inference(rewrite,[status(thm)],[t9_FOL]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[161088296,202923624,161075120]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t9_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)&reproducibility(x,rp1,t1)&reproducibility(y,rp2,t2)&size(x,s1,t1)&size(y,s2,t2)&greater(s2,s1)&~greater(rp2,rp1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),[]).
%
% cnf(161088296,plain,(size(y,s2,t2)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% cnf(161156680,plain,(organization(y,t2)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% cnf(161067576,plain,(~greater(rp2,rp1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% cnf(161164120,plain,(organization(x,t1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% cnf(161148176,plain,(reorganization_free(x,t1,t1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% cnf(161140688,plain,(reorganization_free(y,t2,t2)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% fof(a3_FOL,plain,(((greater(F,E)|~greater(H,G)|~organization(A,C)|~organization(B,D)|~reorganization_free(A,C,C)|~reorganization_free(B,D,D)|~reproducibility(A,E,C)|~reproducibility(B,F,D)|~inertia(A,G,C)|~inertia(B,H,D))&(~greater(F,E)|greater(H,G)|~organization(A,C)|~organization(B,D)|~reorganization_free(A,C,C)|~reorganization_free(B,D,D)|~reproducibility(A,E,C)|~reproducibility(B,F,D)|~inertia(A,G,C)|~inertia(B,H,D)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),[]).
%
% cnf(160887128,plain,(greater(F,E)|~greater(H,G)|~organization(A,C)|~organization(B,D)|~reorganization_free(A,C,C)|~reorganization_free(B,D,D)|~reproducibility(A,E,C)|~reproducibility(B,F,D)|~inertia(A,G,C)|~inertia(B,H,D)),inference(rewrite,[status(thm)],[a3_FOL]),[]).
%
% cnf(161104488,plain,(reproducibility(y,rp2,t2)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% cnf(200255384,plain,(greater(rp2,C)|~greater(E,D)|~organization(A,B)|~reorganization_free(A,B,B)|~reproducibility(A,C,B)|~inertia(A,D,B)|~inertia(y,E,t2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161140688,161156680,160887128,161104488]),[]).
%
% fof(mp5,plain,(~organization(A,B)|inertia(A,i(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT009+1.tptp',unknown),[]).
%
% cnf(160807784,plain,(~organization(A,B)|inertia(A,i(A,B),B)),inference(rewrite,[status(thm)],[mp5]),[]).
%
% cnf(201870120,plain,(greater(rp2,C)|~greater(D,i(A,B))|~organization(A,B)|~reorganization_free(A,B,B)|~reproducibility(A,C,B)|~inertia(y,D,t2)),inference(resolution,[status(thm)],[200255384,160807784]),[]).
%
% cnf(161111912,plain,(reproducibility(x,rp1,t1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% cnf(201903776,plain,(~greater(A,i(x,t1))|~inertia(y,A,t2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161067576,161164120,161148176,201870120,161111912]),[]).
%
% cnf(161128064,plain,(class(x,c,t1)),inference(rewrite,[status(thm)],[t9_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/MGT009+1.tptp',unknown),[]).
%
% cnf(160923736,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(161095888,plain,(size(x,s1,t1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% cnf(199478336,plain,(~organization(A,F)|~class(x,B,t1)|~class(A,B,F)|~size(A,C,F)|~inertia(x,D,t1)|~inertia(A,E,F)|~greater(C,s1)|greater(E,D)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161164120,160923736,161095888]),[]).
%
% cnf(161120448,plain,(class(y,c,t2)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% cnf(199648856,plain,(~size(y,A,t2)|~inertia(x,B,t1)|~inertia(y,C,t2)|~greater(A,s1)|greater(C,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161128064,161156680,199478336,161120448]),[]).
%
% cnf(202908336,plain,(~size(y,A,t2)|~inertia(y,B,t2)|~greater(A,s1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[201903776,161164120,199648856,160807784]),[]).
%
% cnf(202923624,plain,(~size(y,A,t2)|~greater(A,s1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[161156680,202908336,160807784]),[]).
%
% cnf(161075120,plain,(greater(s2,s1)),inference(rewrite,[status(thm)],[t9_FOL]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[161088296,202923624,161075120]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------