TSTP Solution File: LCL399-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL399-1 : TPTP v3.4.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 13:49:15 EDT 2009
% Result : Unsatisfiable 162.8s
% Output : Refutation 162.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 25 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 92 ( 16 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_cn_65,plain,
~ is_a_theorem(implies(implies(not(x),not(implies(y,y))),x)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL399-1.tptp',unknown),
[] ).
cnf(157628272,plain,
~ is_a_theorem(implies(implies(not(x),not(implies(y,y))),x)),
inference(rewrite,[status(thm)],[prove_cn_65]),
[] ).
fof(condensed_detachment,plain,
! [A,B] :
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL399-1.tptp',unknown),
[] ).
cnf(157607576,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL399-1.tptp',unknown),
[] ).
cnf(157616424,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(165418768,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[157607576,157616424]),
[] ).
fof(cn_1,plain,
! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL399-1.tptp',unknown),
[] ).
cnf(157612432,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(165650832,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[157607576,157612432]),
[] ).
cnf(165711312,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[165418768,157612432]),
[] ).
cnf(165964776,plain,
is_a_theorem(implies(implies(implies(implies(not(B),B),C),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[165650832,165711312]),
[] ).
cnf(171205464,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),C),A))
| is_a_theorem(implies(implies(B,C),A)) ),
inference(resolution,[status(thm)],[157607576,165964776]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL399-1.tptp',unknown),
[] ).
cnf(157620400,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(165448400,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[157607576,157620400]),
[] ).
cnf(165732288,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[165448400,157612432]),
[] ).
cnf(166179672,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[157607576,165732288]),
[] ).
cnf(165429112,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[157607576,157620400]),
[] ).
cnf(166239600,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[165418768,165732288]),
[] ).
cnf(166430480,plain,
is_a_theorem(implies(not(implies(B,B)),A)),
inference(resolution,[status(thm)],[165429112,166239600]),
[] ).
cnf(166550928,plain,
is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[165650832,166430480]),
[] ).
cnf(168449768,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[166179672,166550928]),
[] ).
cnf(168614920,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[165650832,168449768]),
[] ).
cnf(186387576,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[171205464,168614920]),
[] ).
cnf(192546952,plain,
( ~ is_a_theorem(implies(implies(implies(implies(D,D),B),implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[157607576,186387576]),
[] ).
cnf(165844256,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[165650832,157612432]),
[] ).
cnf(172564816,plain,
( ~ is_a_theorem(implies(implies(implies(C,D),implies(B,D)),A))
| is_a_theorem(implies(implies(B,C),A)) ),
inference(resolution,[status(thm)],[157607576,165844256]),
[] ).
cnf(173069168,plain,
is_a_theorem(implies(implies(A,implies(not(C),C)),implies(implies(C,B),implies(A,B)))),
inference(resolution,[status(thm)],[172564816,165964776]),
[] ).
cnf(269814920,plain,
is_a_theorem(implies(implies(A,C),implies(implies(implies(B,B),A),C))),
inference(resolution,[status(thm)],[192546952,173069168]),
[] ).
cnf(458583600,plain,
is_a_theorem(implies(implies(implies(B,B),implies(not(A),A)),A)),
inference(resolution,[status(thm)],[165418768,269814920]),
[] ).
cnf(477105072,plain,
( ~ is_a_theorem(implies(implies(implies(implies(C,C),implies(not(B),B)),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[157607576,458583600]),
[] ).
cnf(166203016,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(B),C),D),implies(B,D)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[157607576,165732288]),
[] ).
cnf(172883472,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[166203016,165844256]),
[] ).
cnf(182255920,plain,
is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A))),
inference(resolution,[status(thm)],[165650832,172883472]),
[] ).
cnf(512077928,plain,
is_a_theorem(implies(implies(not(A),not(implies(B,B))),A)),
inference(resolution,[status(thm)],[477105072,182255920]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[157628272,512077928]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 166 seconds
% START OF PROOF SEQUENCE
% fof(prove_cn_65,plain,(~is_a_theorem(implies(implies(not(x),not(implies(y,y))),x))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL399-1.tptp',unknown),[]).
%
% cnf(157628272,plain,(~is_a_theorem(implies(implies(not(x),not(implies(y,y))),x))),inference(rewrite,[status(thm)],[prove_cn_65]),[]).
%
% fof(condensed_detachment,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL399-1.tptp',unknown),[]).
%
% cnf(157607576,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL399-1.tptp',unknown),[]).
%
% cnf(157616424,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(165418768,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[157607576,157616424]),[]).
%
% fof(cn_1,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL399-1.tptp',unknown),[]).
%
% cnf(157612432,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(165650832,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[157607576,157612432]),[]).
%
% cnf(165711312,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[165418768,157612432]),[]).
%
% cnf(165964776,plain,(is_a_theorem(implies(implies(implies(implies(not(B),B),C),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[165650832,165711312]),[]).
%
% cnf(171205464,plain,(~is_a_theorem(implies(implies(implies(not(B),B),C),A))|is_a_theorem(implies(implies(B,C),A))),inference(resolution,[status(thm)],[157607576,165964776]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL399-1.tptp',unknown),[]).
%
% cnf(157620400,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(165448400,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[157607576,157620400]),[]).
%
% cnf(165732288,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[165448400,157612432]),[]).
%
% cnf(166179672,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[157607576,165732288]),[]).
%
% cnf(165429112,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[157607576,157620400]),[]).
%
% cnf(166239600,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[165418768,165732288]),[]).
%
% cnf(166430480,plain,(is_a_theorem(implies(not(implies(B,B)),A))),inference(resolution,[status(thm)],[165429112,166239600]),[]).
%
% cnf(166550928,plain,(is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[165650832,166430480]),[]).
%
% cnf(168449768,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[166179672,166550928]),[]).
%
% cnf(168614920,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[165650832,168449768]),[]).
%
% cnf(186387576,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[171205464,168614920]),[]).
%
% cnf(192546952,plain,(~is_a_theorem(implies(implies(implies(implies(D,D),B),implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[157607576,186387576]),[]).
%
% cnf(165844256,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[165650832,157612432]),[]).
%
% cnf(172564816,plain,(~is_a_theorem(implies(implies(implies(C,D),implies(B,D)),A))|is_a_theorem(implies(implies(B,C),A))),inference(resolution,[status(thm)],[157607576,165844256]),[]).
%
% cnf(173069168,plain,(is_a_theorem(implies(implies(A,implies(not(C),C)),implies(implies(C,B),implies(A,B))))),inference(resolution,[status(thm)],[172564816,165964776]),[]).
%
% cnf(269814920,plain,(is_a_theorem(implies(implies(A,C),implies(implies(implies(B,B),A),C)))),inference(resolution,[status(thm)],[192546952,173069168]),[]).
%
% cnf(458583600,plain,(is_a_theorem(implies(implies(implies(B,B),implies(not(A),A)),A))),inference(resolution,[status(thm)],[165418768,269814920]),[]).
%
% cnf(477105072,plain,(~is_a_theorem(implies(implies(implies(implies(C,C),implies(not(B),B)),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[157607576,458583600]),[]).
%
% cnf(166203016,plain,(~is_a_theorem(implies(implies(implies(implies(not(B),C),D),implies(B,D)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[157607576,165732288]),[]).
%
% cnf(172883472,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[166203016,165844256]),[]).
%
% cnf(182255920,plain,(is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A)))),inference(resolution,[status(thm)],[165650832,172883472]),[]).
%
% cnf(512077928,plain,(is_a_theorem(implies(implies(not(A),not(implies(B,B))),A))),inference(resolution,[status(thm)],[477105072,182255920]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[157628272,512077928]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------