Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Equational pair #487092772
details
property
value
status
complete
benchmark
bag-sum-prod-bin.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.167351 seconds
cpu usage
0.096984
user time
0.058904
system time
0.03808
max virtual memory
113188.0
max residence set size
6480.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: AC symbols: + U * 1: 0(\#()) -> \#() 2: +(\#(),x) -> x 3: +(0(x),0(y)) -> 0(+(x,y)) 4: +(0(x),1(y)) -> 1(+(x,y)) 5: +(1(x),1(y)) -> 0(+(1(\#()),+(x,y))) 6: *(\#(),x) -> \#() 7: *(0(x),y) -> 0(*(x,y)) 8: *(1(x),y) -> +(0(*(x,y)),y) 9: U(empty(),b) -> b 10: sum(empty()) -> 0(\#()) 11: sum(singl(x)) -> x 12: sum(U(x,y)) -> +(sum(x),sum(y)) 13: prod(empty()) -> 1(\#()) 14: prod(singl(x)) -> x 15: prod(U(x,y)) -> *(prod(x),prod(y)) Number of strict rules: 15 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #sum(U(x,y)) -> #+(sum(x),sum(y)) #2: #sum(U(x,y)) -> #sum(x) #3: #sum(U(x,y)) -> #sum(y) #4: #*(0(x),y) -> #0(*(x,y)) #5: #*(0(x),y) -> #*(x,y) #6: #sum(empty()) -> #0(\#()) #7: #+(1(x),1(y)) -> #0(+(1(\#()),+(x,y))) #8: #+(1(x),1(y)) -> #+(1(\#()),+(x,y)) #9: #+(1(x),1(y)) -> #+(x,y) #10: #U(x,U(y,z)) ->= #U(U(x,y),z) #11: #U(x,U(y,z)) ->= #U(x,y) #12: #+(x,+(y,z)) ->= #+(+(x,y),z) #13: #+(x,+(y,z)) ->= #+(x,y) #14: #+(0(x),0(y)) -> #0(+(x,y)) #15: #+(0(x),0(y)) -> #+(x,y) #16: #*(1(x),y) -> #+(0(*(x,y)),y) #17: #*(1(x),y) -> #0(*(x,y)) #18: #*(1(x),y) -> #*(x,y) #19: #prod(U(x,y)) -> #*(prod(x),prod(y)) #20: #prod(U(x,y)) -> #prod(x) #21: #prod(U(x,y)) -> #prod(y) #22: #+(0(x),1(y)) -> #+(x,y) #23: #*(x,*(y,z)) ->= #*(*(x,y),z) #24: #*(x,*(y,z)) ->= #*(x,y) Number of SCCs: 5, DPs: 16 SCC { #2 #3 } POLO(Sum)... succeeded. #0 w: 0 1 w: 0 prod w: 0 #prod w: 0 #* w: 0 \# w: 0 #U w: 0 sum w: 0 0 w: 0 singl w: 0 empty w: 0 + w: 0 #sum w: x1 U w: x1 + x2 + 1 #+ w: 0 * w: 0 USABLE RULES: { } Removed DPs: #2 #3 Number of SCCs: 4, DPs: 14 SCC { #20 #21 } POLO(Sum)... succeeded. #0 w: 0 1 w: 0 prod w: 0 #prod w: x1 #* w: 0 \# w: 0 #U w: 0 sum w: 0 0 w: 0 singl w: 0 empty w: 0 + w: 0 #sum w: 0 U w: x1 + x2 + 1 #+ w: 0 * w: 0 USABLE RULES: { } Removed DPs: #20 #21 Number of SCCs: 3, DPs: 12 SCC { #10 #11 } only weak rules. Number of SCCs: 2, DPs: 10 SCC { #5 #18 #23 #24 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. #0 w: max(x1 - 1, 0) 1 w: max(x1, 0) prod w: max(x1 - 1, 0) #prod w: 0 #* w: max(x1 + x2 + 1, 0) \# w: 0
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Equational