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TRS Standard pair #516967643
details
property
value
status
complete
benchmark
#4.29.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.114681959152 seconds
cpu usage
0.081548762
max memory
1.2034048E7
stage attributes
key
value
output-size
4508
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: even(0()) -> true() 2: even(s(0())) -> false() 3: even(s(s(x))) -> even(x) 4: half(0()) -> 0() 5: half(s(s(x))) -> s(half(x)) 6: plus(0(),y) -> y 7: plus(s(x),y) -> s(plus(x,y)) 8: times(0(),y) -> 0() 9: times(s(x),y) -> if_times(even(s(x)),s(x),y) 10: if_times(true(),s(x),y) -> plus(times(half(s(x)),y),times(half(s(x)),y)) 11: if_times(false(),s(x),y) -> plus(y,times(x,y)) Number of strict rules: 11 Direct poly ... failed. Freezing even half 1: even❆1_0() -> true() 2: even❆1_s(0()) -> false() 3: even❆1_s(s(x)) -> even(x) 4: half❆1_0() -> 0() 5: half❆1_s(s(x)) -> s(half(x)) 6: plus(0(),y) -> y 7: plus(s(x),y) -> s(plus(x,y)) 8: times(0(),y) -> 0() 9: times(s(x),y) -> if_times(even❆1_s(x),s(x),y) 10: if_times(true(),s(x),y) -> plus(times(half❆1_s(x),y),times(half❆1_s(x),y)) 11: if_times(false(),s(x),y) -> plus(y,times(x,y)) 12: half(0()) ->= half❆1_0() 13: half(s(_1)) ->= half❆1_s(_1) 14: even(0()) ->= even❆1_0() 15: even(s(_1)) ->= even❆1_s(_1) Number of strict rules: 11 Direct poly ... failed. Dependency Pairs: #1: #half(s(_1)) ->? #half❆1_s(_1) #2: #times(s(x),y) -> #if_times(even❆1_s(x),s(x),y) #3: #times(s(x),y) -> #even❆1_s(x) #4: #if_times(false(),s(x),y) -> #plus(y,times(x,y)) #5: #if_times(false(),s(x),y) -> #times(x,y) #6: #half(0()) ->? #half❆1_0() #7: #even(0()) ->? #even❆1_0() #8: #plus(s(x),y) -> #plus(x,y) #9: #if_times(true(),s(x),y) -> #plus(times(half❆1_s(x),y),times(half❆1_s(x),y)) #10: #if_times(true(),s(x),y) -> #times(half❆1_s(x),y) #11: #if_times(true(),s(x),y) -> #half❆1_s(x) #12: #if_times(true(),s(x),y) -> #times(half❆1_s(x),y) #13: #if_times(true(),s(x),y) -> #half❆1_s(x) #14: #half❆1_s(s(x)) -> #half(x) #15: #even❆1_s(s(x)) -> #even(x) #16: #even(s(_1)) ->? #even❆1_s(_1) Number of SCCs: 4, DPs: 9 SCC { #8 } Sum... succeeded. s(x1) w: (1 + x1) #if_times(x1,x2,x3) w: (0) even❆1_0() w: (0) #half❆1_s(x1) w: (0) even(x1) w: (0) #plus(x1,x2) w: (x1) #even❆1_s(x1) w: (0) false() w: (0) #half(x1) w: (0) even❆1_s(x1) w: (0) true() w: (0) #half❆1_0() w: (0) half(x1) w: (0) #even(x1) w: (0) half❆1_s(x1) w: (0) #times(x1,x2) w: (0) 0() w: (0) times(x1,x2) w: (0) #even❆1_0() w: (0) if_times(x1,x2,x3) w: (0) plus(x1,x2) w: (0) half❆1_0() w: (0) USABLE RULES: { } Removed DPs: #8 Number of SCCs: 3, DPs: 8 SCC { #15 #16 } Sum... succeeded. s(x1) w: (3 + x1) #if_times(x1,x2,x3) w: (0) even❆1_0() w: (0) #half❆1_s(x1) w: (0) even(x1) w: (0) #plus(x1,x2) w: (0) #even❆1_s(x1) w: (x1) false() w: (0) #half(x1) w: (0) even❆1_s(x1) w: (0) true() w: (0) #half❆1_0() w: (0) half(x1) w: (0) #even(x1) w: (2 + x1)
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