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TRS Standard pair #516966208
details
property
value
status
complete
benchmark
sumList.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.246786117554 seconds
cpu usage
0.274660164
max memory
1.9525632E7
stage attributes
key
value
output-size
5460
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: isEmpty(cons(x,xs)) -> false() 2: isEmpty(nil()) -> true() 3: isZero(0()) -> true() 4: isZero(s(x)) -> false() 5: head(cons(x,xs)) -> x 6: tail(cons(x,xs)) -> xs 7: tail(nil()) -> nil() 8: p(s(s(x))) -> s(p(s(x))) 9: p(s(0())) -> 0() 10: p(0()) -> 0() 11: inc(s(x)) -> s(inc(x)) 12: inc(0()) -> s(0()) 13: sumList(xs,y) -> if(isEmpty(xs),isZero(head(xs)),y,tail(xs),cons(p(head(xs)),tail(xs)),inc(y)) 14: if(true(),b,y,xs,ys,x) -> y 15: if(false(),true(),y,xs,ys,x) -> sumList(xs,y) 16: if(false(),false(),y,xs,ys,x) -> sumList(ys,x) 17: sum(xs) -> sumList(xs,0()) Number of strict rules: 17 Direct poly ... failed. Freezing p 1: isEmpty(cons(x,xs)) -> false() 2: isEmpty(nil()) -> true() 3: isZero(0()) -> true() 4: isZero(s(x)) -> false() 5: head(cons(x,xs)) -> x 6: tail(cons(x,xs)) -> xs 7: tail(nil()) -> nil() 8: p❆1_s(s(x)) -> s(p❆1_s(x)) 9: p❆1_s(0()) -> 0() 10: p❆1_0() -> 0() 11: inc(s(x)) -> s(inc(x)) 12: inc(0()) -> s(0()) 13: sumList(xs,y) -> if(isEmpty(xs),isZero(head(xs)),y,tail(xs),cons(p(head(xs)),tail(xs)),inc(y)) 14: if(true(),b,y,xs,ys,x) -> y 15: if(false(),true(),y,xs,ys,x) -> sumList(xs,y) 16: if(false(),false(),y,xs,ys,x) -> sumList(ys,x) 17: sum(xs) -> sumList(xs,0()) 18: p(0()) ->= p❆1_0() 19: p(s(_1)) ->= p❆1_s(_1) Number of strict rules: 17 Direct poly ... failed. Dependency Pairs: #1: #sumList(xs,y) -> #if(isEmpty(xs),isZero(head(xs)),y,tail(xs),cons(p(head(xs)),tail(xs)),inc(y)) #2: #sumList(xs,y) -> #isEmpty(xs) #3: #sumList(xs,y) -> #isZero(head(xs)) #4: #sumList(xs,y) -> #head(xs) #5: #sumList(xs,y) -> #tail(xs) #6: #sumList(xs,y) -> #p(head(xs)) #7: #sumList(xs,y) -> #head(xs) #8: #sumList(xs,y) -> #tail(xs) #9: #sumList(xs,y) -> #inc(y) #10: #inc(s(x)) -> #inc(x) #11: #sum(xs) -> #sumList(xs,0()) #12: #p(s(_1)) ->? #p❆1_s(_1) #13: #if(false(),false(),y,xs,ys,x) -> #sumList(ys,x) #14: #p❆1_s(s(x)) -> #p❆1_s(x) #15: #if(false(),true(),y,xs,ys,x) -> #sumList(xs,y) #16: #p(0()) ->? #p❆1_0() Number of SCCs: 3, DPs: 5 SCC { #14 } Sum... succeeded. sumList(x1,x2) w: (0) s(x1) w: (1 + x1) #isZero(x1) w: (0) #sumList(x1,x2) w: (0) p❆1_s(x1) w: (0) #isEmpty(x1) w: (0) #p❆1_0() w: (0) false() w: (0) #head(x1) w: (0) isEmpty(x1) w: (0) #inc(x1) w: (0) #p(x1) w: (0) inc(x1) w: (0) #p❆1_s(x1) w: (x1) true() w: (0) sum(x1) w: (0) p(x1) w: (0) tail(x1) w: (0) 0() w: (0) if(x1,x2,x3,x4,x5,x6) w: (0) p❆1_0() w: (0) nil() w: (0) #tail(x1) w: (0) head(x1) w: (0) cons(x1,x2) w: (0) #if(x1,x2,x3,x4,x5,x6) w: (0) isZero(x1) w: (0) #sum(x1) w: (0) USABLE RULES: { } Removed DPs: #14 Number of SCCs: 2, DPs: 4
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