G4 Prover
Result of the test for sequent (p/\q)\/(p/\r) --> p\/(q/\r)
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/\q)\/p/\r-->p\/q/\r.
Trying to prove with threshold = 0
Succeed in proving (p/\q)\/p/\r --> p\/q/\r (2 msec.)
pretty:1 =
--------- Ax --------- Ax
p,q --> p p,r --> p
--------------- R\/ --------------- R\/
p,q --> p\/q/\r p,r --> p\/q/\r
---------------- L/\ ---------------- L/\
p/\q --> p\/q/\r p/\r --> p\/q/\r
-------------------------------------- L\/
(p/\q)\/p/\r --> p\/q/\r
yes
fol(g4i)> quit.
yes
Exit from Sequent Calculus Prover...
Total CPU time = 4 msec.
true