% SZS status Success for comm_assoc_ring_homomorphism.trs
216.67 (total time)

S-CONVERGENT TRS: 
g1(one()) -> one()
g2(one()) -> one()
m(zero(),x) -> zero()
m(x,zero()) -> zero()
m(one(),x) -> x
m(x,one()) -> x
m(x,m(y,z)) -> m(m(x,y),z)
g1(m(x,y)) -> m(g1(x),g1(y))
m(g2(x),g2(y)) -> g2(m(x,y))
m(x,p(y,z)) -> p(m(x,y),m(x,z))
m(g1(y),g2(x)) -> m(g2(x),g1(y))
m(p(x,z),y) -> p(m(x,y),m(z,y))
m(x,i(y)) -> i(m(x,y))
m(i(x),y) -> i(m(x,y))


STATISTICS 
Theory
 convergent system S:     theories/groups1.trs 

General
 number of iterations:    22 
 number of nodes:         457 
 number of processes:     60 
 time for orient:         203.04
 time for rewrite:        7.84
 time for S-rewrite:      0.48
 time for deduce:         3.29

Selection
 strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?)))
 time for selection:      0.48

Termination Checks (external with callmuterm )
 termination checks:      241 (yes: 187, timeouts: 54)
 time limit for check:    2.50
 termination time:        197.92

Critical pair criterion (primality) 
 redundant CPs in total:  352
 for successful process:  117
 time to check:      0.45

Indexing
 techniques: code tree (rewriting) discrimination tree (overlaps)
 variants:                0.19
 encompassments:          1.59
 overlaps:                0.00
 maintenance:             0.01
    One: 0.000106
    Two: 203.042467
Total time: 216.684222