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TRS Standard pair #487072581
details
property
value
status
complete
benchmark
15.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
Beerendonk_07
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.452466 seconds
cpu usage
0.074487
user time
0.049778
system time
0.024709
max virtual memory
113188.0
max residence set size
9308.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: cond1(true(),x,y) -> cond2(gr(x,0()),x,y) 2: cond2(true(),x,y) -> cond1(gr(add(x,y),0()),p(x),y) 3: cond2(false(),x,y) -> cond3(gr(y,0()),x,y) 4: cond3(true(),x,y) -> cond1(gr(add(x,y),0()),x,p(y)) 5: cond3(false(),x,y) -> cond1(gr(add(x,y),0()),x,y) 6: gr(0(),x) -> false() 7: gr(s(x),0()) -> true() 8: gr(s(x),s(y)) -> gr(x,y) 9: add(0(),x) -> x 10: add(s(x),y) -> s(add(x,y)) 11: p(0()) -> 0() 12: p(s(x)) -> x Number of strict rules: 12 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #cond2(true(),x,y) -> #cond1(gr(add(x,y),0()),p(x),y) #2: #cond2(true(),x,y) -> #gr(add(x,y),0()) #3: #cond2(true(),x,y) -> #add(x,y) #4: #cond2(true(),x,y) -> #p(x) #5: #add(s(x),y) -> #add(x,y) #6: #cond3(false(),x,y) -> #cond1(gr(add(x,y),0()),x,y) #7: #cond3(false(),x,y) -> #gr(add(x,y),0()) #8: #cond3(false(),x,y) -> #add(x,y) #9: #cond2(false(),x,y) -> #cond3(gr(y,0()),x,y) #10: #cond2(false(),x,y) -> #gr(y,0()) #11: #cond1(true(),x,y) -> #cond2(gr(x,0()),x,y) #12: #cond1(true(),x,y) -> #gr(x,0()) #13: #gr(s(x),s(y)) -> #gr(x,y) #14: #cond3(true(),x,y) -> #cond1(gr(add(x,y),0()),x,p(y)) #15: #cond3(true(),x,y) -> #gr(add(x,y),0()) #16: #cond3(true(),x,y) -> #add(x,y) #17: #cond3(true(),x,y) -> #p(y) Number of SCCs: 3, DPs: 7 SCC { #5 } POLO(Sum)... succeeded. cond2 w: 0 #cond3 w: 0 s w: x1 + 1 #cond1 w: 0 false w: 0 #p w: 0 true w: 0 cond1 w: 0 p w: 0 0 w: 0 #gr w: 0 cond3 w: 0 #add w: x1 add w: 0 #cond2 w: 0 gr w: 0 USABLE RULES: { } Removed DPs: #5 Number of SCCs: 2, DPs: 6 SCC { #13 } POLO(Sum)... succeeded. cond2 w: 0 #cond3 w: 0 s w: x1 + 1 #cond1 w: 0 false w: 0 #p w: 0 true w: 0 cond1 w: 0 p w: 0 0 w: 0 #gr w: x2 cond3 w: 0 #add w: 0 add w: 0 #cond2 w: 0 gr w: 0 USABLE RULES: { } Removed DPs: #13 Number of SCCs: 1, DPs: 5 SCC { #1 #6 #9 #11 #14 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. cond2 w: 0 #cond3 w: max(x2 + 24869, 0) s w: max(x1 + 15927, 0) #cond1 w: max(x2 + 24869, 0) false w: 1 #p w: 0 true w: 24869 cond1 w: max(x2 - 1, 0) p w: max(x1 - 1, 0) 0 w: 0 #gr w: max(x1 - 1, 0) cond3 w: 0 #add w: 0 add w: max(x1 - 1, x2 + 15925, 0) #cond2 w: max(x1 + 1, x2 + 24869, 0) gr w: max(x1 + 8946, 0) USABLE RULES: { 6 7 11 12 } Removed DPs: #1 Number of SCCs: 1, DPs: 4 SCC { #6 #9 #11 #14 }
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