% SZS status Satisfiable for ring_unit.trs
201.42 (total time)

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


STATISTICS 
General
 number of iterations:    43 
 number of nodes:         1142 
 number of processes:     4 
 time for orient:         163.50
 time for rewrite:        23.81
 time for deduce:         12.72

Selection
 strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?)))
 time for selection:      1.07

Termination Checks (external with callaprove)
 termination checks:      72 (yes: 33, timeouts: 38)
 time limit for check:    3.00
 termination time:        150.48

Critical pair criterion (primality) 
 redundant CPs in total:  1701
 for successful process:  733

Indexing
 techniques: code tree (rewriting) discrimination tree (overlaps)
 variants:                1.02
 encompassments:          4.56
 overlaps:                0.00
 maintenance:             0.01
Total time: 201.447569