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TRS Standard pair #516960698
details
property
value
status
complete
benchmark
thiemann12.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n069.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.115151882172 seconds
cpu usage
0.132362086
max memory
1.5474688E7
stage attributes
key
value
output-size
2861
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: half(0()) -> 0() 2: half(s(0())) -> 0() 3: half(s(s(x))) -> s(half(x)) 4: le(0(),y) -> true() 5: le(s(x),0()) -> false() 6: le(s(x),s(y)) -> le(x,y) 7: inc(0()) -> 0() 8: inc(s(x)) -> s(inc(x)) 9: log(x) -> log2(x,0()) 10: log2(x,y) -> if(le(x,s(0())),x,inc(y)) 11: if(true(),x,s(y)) -> y 12: if(false(),x,y) -> log2(half(x),y) Number of strict rules: 12 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #le(s(x),s(y)) -> #le(x,y) #2: #log(x) -> #log2(x,0()) #3: #if(false(),x,y) -> #log2(half(x),y) #4: #if(false(),x,y) -> #half(x) #5: #log2(x,y) -> #if(le(x,s(0())),x,inc(y)) #6: #log2(x,y) -> #le(x,s(0())) #7: #log2(x,y) -> #inc(y) #8: #half(s(s(x))) -> #half(x) #9: #inc(s(x)) -> #inc(x) Number of SCCs: 4, DPs: 5 SCC { #9 } Sum... succeeded. le(x1,x2) w: (0) #log2(x1,x2) w: (0) s(x1) w: (1 + x1) #le(x1,x2) w: (0) false() w: (0) #log(x1) w: (0) #half(x1) w: (0) #inc(x1) w: (x1) inc(x1) w: (0) true() w: (0) half(x1) w: (0) log(x1) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) #if(x1,x2,x3) w: (0) log2(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #9 Number of SCCs: 3, DPs: 4 SCC { #8 } Sum... succeeded. le(x1,x2) w: (0) #log2(x1,x2) w: (0) s(x1) w: (1 + x1) #le(x1,x2) w: (0) false() w: (0) #log(x1) w: (0) #half(x1) w: (x1) #inc(x1) w: (0) inc(x1) w: (0) true() w: (0) half(x1) w: (0) log(x1) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) #if(x1,x2,x3) w: (0) log2(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #8 Number of SCCs: 2, DPs: 3 SCC { #1 } Sum... succeeded. le(x1,x2) w: (0) #log2(x1,x2) w: (0) s(x1) w: (1 + x1) #le(x1,x2) w: (x2) false() w: (0) #log(x1) w: (0) #half(x1) w: (0) #inc(x1) w: (0) inc(x1) w: (0) true() w: (0) half(x1) w: (0) log(x1) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) #if(x1,x2,x3) w: (0) log2(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 2 SCC { #3 #5 } Sum... Max... QLPOpS... NegMaxSum... succeeded. le(x1,x2) w: (max{0, 36741 + x1})
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