details

property	value
status	complete
benchmark	aprove07.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n141.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.365731 seconds
cpu usage	0.060414
user time	0.035827
system time	0.024587
max virtual memory	113188.0
max residence set size	7064.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: foo(0(x1)) -> 0(s(p(p(p(s(s(s(p(s(x1)))))))))) 2: foo(s(x1)) -> p(s(p(p(p(s(s(p(s(s(p(s(foo(p(p(s(s(p(s(bar(p(p(s(s(p(s(x1)))))))))))))))))))))))))) 3: bar(0(x1)) -> 0(p(s(s(s(x1))))) 4: bar(s(x1)) -> p(s(p(p(s(s(foo(s(p(p(s(s(x1)))))))))))) 5: p(p(s(x1))) -> p(x1) 6: p(s(x1)) -> x1 7: p(0(x1)) -> 0(s(s(s(s(x1))))) Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying foo p 1: foo^1_0(x1) -> 0(s(p(p(p^1_s(s(s(p^1_s(x1)))))))) 2: foo^1_s(x1) -> p^1_s(p(p(p^1_s(s(p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))))))))))))))) 3: bar(0(x1)) -> 0(p^1_s(s(s(x1)))) 4: bar(s(x1)) -> p^1_s(p(p^1_s(s(foo^1_s(p(p^1_s(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(x1))))) 8: p(0(_1)) ->= p^1_0(_1) 9: p(s(_1)) ->= p^1_s(_1) 10: foo(0(_1)) ->= foo^1_0(_1) 11: foo(s(_1)) ->= foo^1_s(_1) Number of strict rules: 7 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #foo^1_s(x1) -> #p^1_s(p(p(p^1_s(s(p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))))))))))))))) #2: #foo^1_s(x1) -> #p(p(p^1_s(s(p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))))))))))))) #3: #foo^1_s(x1) -> #p(p^1_s(s(p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))))))))))))) #4: #foo^1_s(x1) -> #p^1_s(s(p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))))))))))) #5: #foo^1_s(x1) -> #p^1_s(s(p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))))))))) #6: #foo^1_s(x1) -> #p^1_s(foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))))))) #7: #foo^1_s(x1) -> #foo(p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))))))) #8: #foo^1_s(x1) -> #p(p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1))))))))) #9: #foo^1_s(x1) -> #p^1_s(s(p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))))) #10: #foo^1_s(x1) -> #p^1_s(bar(p(p^1_s(s(p^1_s(x1)))))) #11: #foo^1_s(x1) -> #bar(p(p^1_s(s(p^1_s(x1))))) #12: #foo^1_s(x1) -> #p(p^1_s(s(p^1_s(x1)))) #13: #foo^1_s(x1) -> #p^1_s(s(p^1_s(x1))) #14: #foo^1_s(x1) -> #p^1_s(x1) #15: #p(s(_1)) ->? #p^1_s(_1) #16: #foo(s(_1)) ->? #foo^1_s(_1) #17: #foo(0(_1)) ->? #foo^1_0(_1) #18: #p(p^1_s(x1)) -> #p(x1) #19: #bar(0(x1)) -> #p^1_s(s(s(x1))) #20: #foo^1_0(x1) -> #p(p(p^1_s(s(s(p^1_s(x1)))))) #21: #foo^1_0(x1) -> #p(p^1_s(s(s(p^1_s(x1))))) #22: #foo^1_0(x1) -> #p^1_s(s(s(p^1_s(x1)))) #23: #foo^1_0(x1) -> #p^1_s(x1) #24: #p(0(_1)) ->? #p^1_0(_1) #25: #bar(s(x1)) -> #p^1_s(p(p^1_s(s(foo^1_s(p(p^1_s(s(x1)))))))) #26: #bar(s(x1)) -> #p(p^1_s(s(foo^1_s(p(p^1_s(s(x1))))))) #27: #bar(s(x1)) -> #p^1_s(s(foo^1_s(p(p^1_s(s(x1)))))) #28: #bar(s(x1)) -> #foo^1_s(p(p^1_s(s(x1)))) #29: #bar(s(x1)) -> #p(p^1_s(s(x1))) #30: #bar(s(x1)) -> #p^1_s(s(x1)) Number of SCCs: 2, DPs: 5 SCC { #18 } POLO(Sum)... succeeded. s w: 0 #p^1_0 w: 0 #p^1_s w: 0 p^1_0 w: 0 #bar w: 0 p^1_s w: x1 + 1 #p w: x1 foo^1_s w: 0 p w: 0 foo^1_0 w: 0 0 w: 0 #foo w: 0 bar w: 0 foo w: 0 #foo^1_0 w: 0 #foo^1_s w: 0 USABLE RULES: { } Removed DPs: #18 Number of SCCs: 1, DPs: 4 SCC { #7 #11 #16 #28 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. s w: max(x1 + 854095, 0) #p^1_0 w: 0 #p^1_s w: max(x1 - 1, 0) p^1_0 w: 0 #bar w: max(x1 - 106763, 0) p^1_s w: max(x1 + 25786, 0) #p w: max(x1 - 1, 0) foo^1_s w: 213524 p w: max(x1 - 798905, 0) foo^1_0 w: 0 0 w: 0 #foo w: max(x1 - 427049, 0) bar w: 320286 foo w: max(x1 - 640571, 0) #foo^1_0 w: 0 #foo^1_s w: max(x1 + 1, 0) USABLE RULES: { 1..11 } Removed DPs: #7 #11 #16 #28 Number of SCCs: 0, DPs: 0 popout

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all output return to SRS Standard