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TRS Standard pair #487067997
details
property
value
status
complete
benchmark
4.02.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n190.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.700628 seconds
cpu usage
1.5847
user time
1.27587
system time
0.308832
max virtual memory
1765032.0
max residence set size
71400.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: *(x,1()) -> x *(1(),y) -> y *(i(x),x) -> 1() *(x,i(x)) -> 1() *(x,*(y,z)) -> *(*(x,y),z) i(1()) -> 1() *(*(x,y),i(y)) -> x *(*(x,i(y)),y) -> x i(i(x)) -> x i(*(x,y)) -> *(i(y),i(x)) k(x,1()) -> 1() k(x,x) -> 1() *(k(x,y),k(y,x)) -> 1() *(*(i(x),k(y,z)),x) -> k(*(*(i(x),y),x),*(*(i(x),z),x)) k(*(x,i(y)),*(y,i(x))) -> 1() Proof: Reflection Processor: *(1(),x) -> x *(y,1()) -> y *(x,i(x)) -> 1() *(i(x),x) -> 1() *(*(z,y),x) -> *(z,*(y,x)) i(1()) -> 1() *(i(y),*(y,x)) -> x *(y,*(i(y),x)) -> x i(i(x)) -> x i(*(y,x)) -> *(i(x),i(y)) k(1(),x) -> 1() k(x,x) -> 1() *(k(x,y),k(y,x)) -> 1() *(x,*(k(z,y),i(x))) -> k(*(x,*(z,i(x))),*(x,*(y,i(x)))) k(*(i(x),y),*(i(y),x)) -> 1() LPO Processor: precedence: i > * > k > 1 problem: Qed
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