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
---------------- L~def
p,~p --> bot
-------------- L/\
p/\ ~p --> bot
Trying to prove with threshold = 0
Succeed in proving bot --> p/\ ~p (1 msec.)
pretty:2 =
------------- Ax
p,bot --> bot
--------- Lbot ------------- R~
bot --> p bot --> ~p
--------------------------- R/\
bot --> p/\ ~p
yes
fol(g4i)> quit.
yes
Exit from Sequent Calculus Prover...
Total CPU time = 4 msec.
true