% SZS status Satisfiable for assoc_comm_ring_unit.trs
47.34 (total time)

AC-COMPLETE TRS: 
p(zero(),x) -> x
p(zero(),p(x,y)) -> p(x,y)
m(one(),x) -> x
m(one(),m(x,y)) -> m(x,y)
p(i(x),x) -> zero()
p(i(x),p(x,y)) -> p(zero(),y)
i(zero()) -> zero()
i(i(x)) -> x
p(i(p(x,y)),p(y,z)) -> p(i(x),z)
i(p(x,y)) -> p(i(x),i(y))
m(p(x,y),z) -> p(m(x,z),m(y,z))
m(p(x,z),m(y,x3)) -> m(p(m(x,y),m(y,z)),x3)
p(m(zero(),x),p(m(x,y),z)) -> p(m(x,y),z)
m(zero(),x) -> zero()
m(zero(),m(x,y)) -> m(zero(),y)
p(m(i(x),y),p(m(x,y),z)) -> p(zero(),z)
m(i(x),y) -> i(m(x,y))
m(i(x),m(y,z)) -> m(i(m(x,y)),z)


STATISTICS 
General
 number of iterations:    17 
 number of nodes:         1134 
 number of processes:     3 
 time for orient:         20.93
 time for rewrite:        16.10
 time for deduce:         10.09

Selection
 strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?)))
 time for selection:      0.13

Termination Checks (external with callmuterm)
 termination checks:      32 (yes: 23, timeouts: 4)
 time limit for check:    3.00
 termination time:        20.83

Critical pair criterion (primality) 
 redundant CPs in total:  1581
 for successful process:  1017

Indexing
 techniques: code tree (rewriting) discrimination tree (overlaps)
 variants:                0.71
 encompassments:          3.02
 overlaps:                0.00
 maintenance:             0.01
Total time: 47.365267