details

property	value
status	complete
benchmark	gcd_list.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Mixed_relative_TRS

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.777107 seconds
cpu usage	0.76
user time	0.73
system time	0.03
max virtual memory	329932.0
max residence set size	7200.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE Input TRS: 1: min(x,0()) -> 0() 2: min(0(),y) -> 0() 3: min(s(x),s(y)) -> s(min(x,y)) 4: max(x,0()) -> x 5: max(0(),y) -> y 6: max(s(x),s(y)) -> s(max(x,y)) 7: -(x,0()) -> x 8: -(s(x),s(y)) -> -(x,y) 9: gcd(nil()) -> 0() 10: gcd(cons(x,nil())) -> x 11: gcd(cons(0(),y)) -> gcd(y) 12: gcd(cons(x,cons(0(),y))) -> gcd(cons(x,y)) 13: gcd(cons(s(x),cons(s(y),z))) -> gcd(cons(-(max(x,y),min(x,y)),cons(s(min(x,y)),z))) 14: cons(x,cons(y,z)) ->= cons(y,cons(x,z)) Number of strict rules: 13 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #max(s(x),s(y)) -> #max(x,y) #2: #gcd(cons(s(x),cons(s(y),z))) -> #gcd(cons(-(max(x,y),min(x,y)),cons(s(min(x,y)),z))) #3: #gcd(cons(s(x),cons(s(y),z))) -> #-(max(x,y),min(x,y)) #4: #gcd(cons(s(x),cons(s(y),z))) -> #max(x,y) #5: #gcd(cons(s(x),cons(s(y),z))) -> #min(x,y) #6: #gcd(cons(s(x),cons(s(y),z))) -> #min(x,y) #7: #gcd(cons(0(),y)) -> #gcd(y) #8: #gcd(cons(x,cons(0(),y))) -> #gcd(cons(x,y)) #9: #min(s(x),s(y)) -> #min(x,y) #10: #-(s(x),s(y)) -> #-(x,y) Number of SCCs: 4, DPs: 6 SCC { #10 } POLO(Sum)... succeeded. s w: x1 + 1 gcd w: 0 #min w: 0 0 w: 0 max w: 0 nil w: 0 #max w: 0 - w: 0 min w: 0 #- w: x2 cons w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #10 Number of SCCs: 3, DPs: 5 SCC { #1 } POLO(Sum)... succeeded. s w: x1 + 1 gcd w: 0 #min w: 0 0 w: 0 max w: 0 nil w: 0 #max w: x2 - w: 0 min w: 0 #- w: 0 cons w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 2, DPs: 4 SCC { #9 } POLO(Sum)... succeeded. s w: x1 + 1 gcd w: 0 #min w: x2 0 w: 0 max w: 0 nil w: 0 #max w: 0 - w: 0 min w: 0 #- w: 0 cons w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 1, DPs: 3 SCC { #2 #7 #8 } POLO(Sum)... succeeded. s w: x1 + 1 gcd w: 0 #min w: 0 0 w: 1 max w: 1 nil w: 0 #max w: 0 - w: x2 min w: x1 + x2 + 1 #- w: 0 cons w: x2 + 33954 #gcd w: x1 USABLE RULES: { 1 2 14 } Removed DPs: #7 #8 Number of SCCs: 1, DPs: 1 SCC { #2 } popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Relative