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SRS Standard pair #487091005
details
property
value
status
complete
benchmark
aprove06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.377964 seconds
cpu usage
0.039853
user time
0.023839
system time
0.016014
max virtual memory
113188.0
max residence set size
9328.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: tower(0(x1)) -> s(0(p(s(p(s(x1)))))) 2: tower(s(x1)) -> p(s(p(s(twoto(p(s(p(s(tower(p(s(p(s(x1)))))))))))))) 3: twoto(0(x1)) -> s(0(x1)) 4: twoto(s(x1)) -> p(p(s(p(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1)))))))))))))))))))))))))))))))) 5: twice(0(x1)) -> 0(x1) 6: twice(s(x1)) -> p(p(p(s(s(s(s(s(twice(p(p(p(s(s(s(x1))))))))))))))) 7: p(p(s(x1))) -> p(x1) 8: p(s(x1)) -> x1 9: p(0(x1)) -> 0(s(s(s(s(s(s(s(s(x1))))))))) Number of strict rules: 9 Direct POLO(bPol) ... removes: 1 tower w: x1 + 24773 s w: x1 twice w: x1 p w: x1 0 w: x1 + 5599 twoto w: x1 Number of strict rules: 8 Direct POLO(bPol) ... failed. Uncurrying p 2: tower(s(x1)) -> p^1_s(p^1_s(twoto(p^1_s(p^1_s(tower(p^1_s(p^1_s(x1)))))))) 3: twoto(0(x1)) -> s(0(x1)) 4: twoto(s(x1)) -> p(p^1_s(p(p(p^1_s(s(p^1_s(s(p^1_s(s(p^1_s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))))))))) 5: twice(0(x1)) -> 0(x1) 6: twice(s(x1)) -> p(p(p^1_s(s(s(s(s(twice(p(p(p^1_s(s(s(x1))))))))))))) 7: p(p^1_s(x1)) -> p(x1) 8: p^1_s(x1) -> x1 9: p^1_0(x1) -> 0(s(s(s(s(s(s(s(s(x1))))))))) 10: p(0(_1)) ->= p^1_0(_1) 11: p(s(_1)) ->= p^1_s(_1) Number of strict rules: 8 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #tower(s(x1)) -> #p^1_s(p^1_s(twoto(p^1_s(p^1_s(tower(p^1_s(p^1_s(x1)))))))) #2: #tower(s(x1)) -> #p^1_s(twoto(p^1_s(p^1_s(tower(p^1_s(p^1_s(x1))))))) #3: #tower(s(x1)) -> #twoto(p^1_s(p^1_s(tower(p^1_s(p^1_s(x1)))))) #4: #tower(s(x1)) -> #p^1_s(p^1_s(tower(p^1_s(p^1_s(x1))))) #5: #tower(s(x1)) -> #p^1_s(tower(p^1_s(p^1_s(x1)))) #6: #tower(s(x1)) -> #tower(p^1_s(p^1_s(x1))) #7: #tower(s(x1)) -> #p^1_s(p^1_s(x1)) #8: #tower(s(x1)) -> #p^1_s(x1) #9: #twice(s(x1)) -> #p(p(p^1_s(s(s(s(s(twice(p(p(p^1_s(s(s(x1))))))))))))) #10: #twice(s(x1)) -> #p(p^1_s(s(s(s(s(twice(p(p(p^1_s(s(s(x1)))))))))))) #11: #twice(s(x1)) -> #p^1_s(s(s(s(s(twice(p(p(p^1_s(s(s(x1))))))))))) #12: #twice(s(x1)) -> #twice(p(p(p^1_s(s(s(x1)))))) #13: #twice(s(x1)) -> #p(p(p^1_s(s(s(x1))))) #14: #twice(s(x1)) -> #p(p^1_s(s(s(x1)))) #15: #twice(s(x1)) -> #p^1_s(s(s(x1))) #16: #p(s(_1)) ->? #p^1_s(_1) #17: #p(p^1_s(x1)) -> #p(x1) #18: #p(0(_1)) ->? #p^1_0(_1) #19: #twoto(s(x1)) -> #p(p^1_s(p(p(p^1_s(s(p^1_s(s(p^1_s(s(p^1_s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))))))))) #20: #twoto(s(x1)) -> #p^1_s(p(p(p^1_s(s(p^1_s(s(p^1_s(s(p^1_s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))))))))))))) #21: #twoto(s(x1)) -> #p(p(p^1_s(s(p^1_s(s(p^1_s(s(p^1_s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))))))) #22: #twoto(s(x1)) -> #p(p^1_s(s(p^1_s(s(p^1_s(s(p^1_s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))))))))))) #23: #twoto(s(x1)) -> #p^1_s(s(p^1_s(s(p^1_s(s(p^1_s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))))) #24: #twoto(s(x1)) -> #p^1_s(s(p^1_s(s(p^1_s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))) #25: #twoto(s(x1)) -> #p^1_s(s(p^1_s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))) #26: #twoto(s(x1)) -> #p^1_s(twice(p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))) #27: #twoto(s(x1)) -> #twice(p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))) #28: #twoto(s(x1)) -> #p^1_s(p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))) #29: #twoto(s(x1)) -> #p^1_s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))) #30: #twoto(s(x1)) -> #p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))) #31: #twoto(s(x1)) -> #p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))) #32: #twoto(s(x1)) -> #p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))) #33: #twoto(s(x1)) -> #twoto(p^1_s(p^1_s(x1))) #34: #twoto(s(x1)) -> #p^1_s(p^1_s(x1)) #35: #twoto(s(x1)) -> #p^1_s(x1) Number of SCCs: 4, DPs: 4 SCC { #17 } POLO(Sum)... succeeded. tower w: 0 s w: 0 #p^1_0 w: 0 twice w: 0 #p^1_s w: 0 p^1_0 w: 0 p^1_s w: x1 + 1 #p w: x1 p w: 0 0 w: 0 #tower w: 0 twoto w: 0 #twice w: 0 #twoto w: 0 USABLE RULES: { } Removed DPs: #17 Number of SCCs: 3, DPs: 3 SCC { #6 } POLO(Sum)... succeeded. tower w: 0 s w: x1 + 3 #p^1_0 w: 0 twice w: 0 #p^1_s w: 0 p^1_0 w: 0 p^1_s w: x1 + 1 #p w: 0
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