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SRS Standard pair #487090939
details
property
value
status
complete
benchmark
aprove05.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n053.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.43793 seconds
cpu usage
0.027844
user time
0.016113
system time
0.011731
max virtual memory
113188.0
max residence set size
9284.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: twoto(0(x1)) -> p(p(s(s(s(p(p(p(s(s(s(0(p(p(s(s(x1)))))))))))))))) 2: twoto(s(x1)) -> p(p(s(s(p(p(p(s(s(s(twice(p(p(s(s(p(p(p(s(s(s(twoto(p(s(p(s(x1)))))))))))))))))))))))))) 3: twice(0(x1)) -> p(s(p(s(0(s(p(s(s(s(s(p(s(x1))))))))))))) 4: twice(s(x1)) -> s(p(p(p(p(s(s(s(s(s(twice(p(s(p(s(p(s(p(s(x1))))))))))))))))))) 5: p(p(s(x1))) -> p(x1) 6: p(s(x1)) -> x1 7: p(0(x1)) -> 0(s(s(s(s(p(s(x1))))))) 8: 0(x1) -> x1 Number of strict rules: 8 Direct POLO(bPol) ... removes: 8 1 s w: x1 twice w: x1 p w: x1 0 w: x1 + 5599 twoto w: x1 + 38870 Number of strict rules: 6 Direct POLO(bPol) ... failed. Uncurrying p 2: twoto(s(x1)) -> p(p^1_s(s(p(p(p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))))))) 3: twice(0(x1)) -> p^1_s(p^1_s(0(s(p^1_s(s(s(s(p^1_s(x1))))))))) 4: twice(s(x1)) -> s(p(p(p(p^1_s(s(s(s(s(twice(p^1_s(p^1_s(p^1_s(p^1_s(x1)))))))))))))) 5: p(p^1_s(x1)) -> p(x1) 6: p^1_s(x1) -> x1 7: p^1_0(x1) -> 0(s(s(s(s(p^1_s(x1)))))) 9: p(0(_1)) ->= p^1_0(_1) 10: p(s(_1)) ->= p^1_s(_1) Number of strict rules: 6 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #twoto(s(x1)) -> #p(p^1_s(s(p(p(p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))))))) #2: #twoto(s(x1)) -> #p^1_s(s(p(p(p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))))))))))) #3: #twoto(s(x1)) -> #p(p(p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))))))))) #4: #twoto(s(x1)) -> #p(p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))))))) #5: #twoto(s(x1)) -> #p^1_s(s(s(twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))))))) #6: #twoto(s(x1)) -> #twice(p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))))) #7: #twoto(s(x1)) -> #p(p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))))))) #8: #twoto(s(x1)) -> #p^1_s(s(p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))))) #9: #twoto(s(x1)) -> #p(p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))))) #10: #twoto(s(x1)) -> #p(p^1_s(s(s(twoto(p^1_s(p^1_s(x1))))))) #11: #twoto(s(x1)) -> #p^1_s(s(s(twoto(p^1_s(p^1_s(x1)))))) #12: #twoto(s(x1)) -> #twoto(p^1_s(p^1_s(x1))) #13: #twoto(s(x1)) -> #p^1_s(p^1_s(x1)) #14: #twoto(s(x1)) -> #p^1_s(x1) #15: #p(0(_1)) ->? #p^1_0(_1) #16: #p^1_0(x1) -> #p^1_s(x1) #17: #p(s(_1)) ->? #p^1_s(_1) #18: #p(p^1_s(x1)) -> #p(x1) #19: #twice(0(x1)) -> #p^1_s(p^1_s(0(s(p^1_s(s(s(s(p^1_s(x1))))))))) #20: #twice(0(x1)) -> #p^1_s(0(s(p^1_s(s(s(s(p^1_s(x1)))))))) #21: #twice(0(x1)) -> #p^1_s(s(s(s(p^1_s(x1))))) #22: #twice(0(x1)) -> #p^1_s(x1) #23: #twice(s(x1)) -> #p(p(p(p^1_s(s(s(s(s(twice(p^1_s(p^1_s(p^1_s(p^1_s(x1))))))))))))) #24: #twice(s(x1)) -> #p(p(p^1_s(s(s(s(s(twice(p^1_s(p^1_s(p^1_s(p^1_s(x1)))))))))))) #25: #twice(s(x1)) -> #p(p^1_s(s(s(s(s(twice(p^1_s(p^1_s(p^1_s(p^1_s(x1))))))))))) #26: #twice(s(x1)) -> #p^1_s(s(s(s(s(twice(p^1_s(p^1_s(p^1_s(p^1_s(x1)))))))))) #27: #twice(s(x1)) -> #twice(p^1_s(p^1_s(p^1_s(p^1_s(x1))))) #28: #twice(s(x1)) -> #p^1_s(p^1_s(p^1_s(p^1_s(x1)))) #29: #twice(s(x1)) -> #p^1_s(p^1_s(p^1_s(x1))) #30: #twice(s(x1)) -> #p^1_s(p^1_s(x1)) #31: #twice(s(x1)) -> #p^1_s(x1) Number of SCCs: 3, DPs: 3 SCC { #18 } POLO(Sum)... succeeded. 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 twoto w: 0 #twice w: 0 #twoto w: 0 USABLE RULES: { } Removed DPs: #18 Number of SCCs: 2, DPs: 2 SCC { #12 } POLO(Sum)... succeeded. 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 p w: 0 0 w: 0 twoto w: 0 #twice w: 0 #twoto w: x1 USABLE RULES: { 6 } Removed DPs: #12 Number of SCCs: 1, DPs: 1 SCC { #27 } POLO(Sum)... succeeded. s w: x1 + 5
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