G4 Prover
Result of the test for sequent ~p <--> p->bot
G4 Prover: a Prolog Prover for Roy Dyckhoff's Sequent Calculus G4
This prover is a fork made by Joseph Vidal-Rosset (joseph.vidal-rosset@gmail.com),
from seqprover.pl, the sequent prover for CL-X, written by Naoyuki Tamura (tamura@kobe-u.ac.jp).
Type "help." if you need some help.
fol(g4i)> fol(g4i).
yes
fol(g4i)> output(pretty).
yes
fol(g4i)> ~p<-->p->bot.
Trying to prove with threshold = 0
Succeed in proving ~p --> p->bot (1 msec.)
pretty:1 =
------------- Ax
bot,p --> bot
---------------- L0->1
p,p->bot --> bot
----------------- R->
p->bot --> p->bot
----------------- L~def
~p --> p->bot
Trying to prove with threshold = 0
Succeed in proving p->bot --> ~p (1 msec.)
pretty:2 =
------------- Ax
bot,p --> bot
---------------- L0->1
p,p->bot --> bot
---------------- R~
p->bot --> ~p
yes
fol(g4i)> quit.
yes
Exit from Sequent Calculus Prover...
Total CPU time = 4 msec.
true