G4 Prover

Result of the test for sequent (p->(q->r))-->((p->q)->(p->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->r-->(p->q)->p->r. Trying to prove with threshold = 0 Succeed in proving p->q->r --> (p->q)->p->r (1 msec.) pretty:1 = ----------- Ax r,q,p --> r -------------- L0->1 q,q->r,p --> r ----------------- L0->1 q,p,p->q->r --> r -------------------- L0->1 p,p->q,p->q->r --> r --------------------- R-> p->q,p->q->r --> p->r ------------------------ R-> p->q->r --> (p->q)->p->r yes fol(g4i)> quit. yes Exit from Sequent Calculus Prover... Total CPU time = 4 msec. true

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Maintained by Joseph Vidal-Rosset