TRS Standard pair #487068299

details

property	value
status	complete
benchmark	t005.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n189.star.cs.uiowa.edu
space	HirokawaMiddeldorp_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.413321 seconds
cpu usage	0.35178
user time	0.284701
system time	0.067079
max virtual memory	113188.0
max residence set size	16164.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem 1: 

(VAR v_NonEmpty:S x:S y:S z:S)
(RULES
*(c(x:S,y:S),z:S) -> c(*(x:S,z:S),*(y:S,z:S))
*(0,0) -> 0
*(0,1) -> 0
*(0,2) -> 0
*(0,3) -> 0
*(0,4) -> 0
*(0,5) -> 0
*(0,6) -> 0
*(0,7) -> 0
*(0,8) -> 0
*(0,9) -> 0
*(1,0) -> 0
*(1,1) -> 1
*(1,2) -> 2
*(1,3) -> 3
*(1,4) -> 4
*(1,5) -> 5
*(1,6) -> 6
*(1,7) -> 7
*(1,8) -> 8
*(1,9) -> 9
*(2,0) -> 0
*(2,1) -> 2
*(2,2) -> 4
*(2,3) -> 6
*(2,4) -> 8
*(2,5) -> c(1,0)
*(2,6) -> c(1,2)
*(2,7) -> c(1,4)
*(2,8) -> c(1,6)
*(2,9) -> c(1,8)
*(3,0) -> 0
*(3,1) -> 3
*(3,2) -> 6
*(3,3) -> 9
*(3,4) -> c(1,2)
*(3,5) -> c(1,5)
*(3,6) -> c(1,8)
*(3,7) -> c(2,1)
*(3,8) -> c(2,4)
*(3,9) -> c(2,7)
*(4,0) -> 0
*(4,1) -> 4
*(4,2) -> 8
*(4,3) -> c(1,2)
*(4,4) -> c(1,6)
*(4,5) -> c(2,0)
*(4,6) -> c(2,4)
*(4,7) -> c(2,8)
*(4,8) -> c(3,2)
*(4,9) -> c(3,6)
*(5,0) -> 0
*(5,1) -> 5
*(5,2) -> c(1,0)
*(5,3) -> c(1,5)
*(5,4) -> c(2,0)
*(5,5) -> c(2,5)
*(5,6) -> c(3,0)
*(5,7) -> c(3,5)
*(5,8) -> c(4,0)
*(5,9) -> c(4,5)
*(6,0) -> 0
*(6,1) -> 6
*(6,2) -> c(1,2)
*(6,3) -> c(1,8)
*(6,4) -> c(2,4)
*(6,5) -> c(3,0)
*(6,6) -> c(3,6)
*(6,7) -> c(4,2)
*(6,8) -> c(4,8)
*(6,9) -> c(5,4)
*(7,0) -> 0
*(7,1) -> 7
*(7,2) -> c(1,4)
*(7,3) -> c(2,1)
*(7,4) -> c(2,8)
*(7,5) -> c(3,5)
*(7,6) -> c(4,2)
*(7,7) -> c(4,9)
*(7,8) -> c(5,6)
*(7,9) -> c(6,3)
*(8,0) -> 0
*(8,1) -> 8
*(8,2) -> c(1,8)
*(8,3) -> c(2,4)
*(8,4) -> c(3,2)
*(8,5) -> c(4,0)
*(8,6) -> c(4,8)
*(8,7) -> c(5,6)
*(8,8) -> c(6,4)
*(8,9) -> c(7,2)
*(9,0) -> 0
*(9,1) -> 9
*(9,2) -> c(1,8)

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