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TRS Relative pair #487081829
details
property
value
status
complete
benchmark
gcd_many.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Mixed_relative_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.38712 seconds
cpu usage
0.477067
user time
0.308601
system time
0.168466
max virtual memory
96176.0
max residence set size
56044.0
stage attributes
key
value
starexec-result
NO
output
NO Problem: strict: min(x,0()) -> 0() min(0(),y) -> 0() min(s(x),s(y)) -> s(min(x,y)) max(x,0()) -> x max(0(),y) -> y max(s(x),s(y)) -> s(max(x,y)) -(x,0()) -> x -(s(x),s(y)) -> -(x,y) gcd(nil()) -> 0() gcd(cons(x,nil())) -> x gcd(cons(0(),y)) -> gcd(y) gcd(cons(x,cons(y,z))) -> gcd(cons(-(x,y),cons(y,z))) weak: gcd(cons(x,cons(y,z))) -> gcd(cons(max(x,y),cons(min(x,y),z))) Proof: Unfolding Processor: loop length: 1 terms: gcd(cons(x,cons(y,z))) context: [] substitution: x -> -(x,y) y -> y z -> z Qed
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