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TRS Equational pair #487092856
details
property
value
status
complete
benchmark
AC45.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Mixed_C
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0533901 seconds
cpu usage
0.027091
user time
0.008665
system time
0.018426
max virtual memory
113188.0
max residence set size
6068.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: C symbols: eq 1: eq(0(),0()) -> true() 2: eq(0(),s(x)) -> false() 3: eq(s(x),0()) -> false() 4: eq(s(x),s(y)) -> eq(x,y) 5: rm(n,nil()) -> nil() 6: rm(n,add(m,x)) -> if_rm(eq(n,m),n,add(m,x)) 7: if_rm(true(),n,add(m,x)) -> rm(n,x) 8: if_rm(false(),n,add(m,x)) -> add(m,rm(n,x)) 9: purge(nil()) -> nil() 10: purge(add(n,x)) -> add(n,purge(rm(n,x))) Number of strict rules: 10 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #rm(n,add(m,x)) -> #if_rm(eq(n,m),n,add(m,x)) #2: #rm(n,add(m,x)) -> #eq(n,m) #3: #if_rm(true(),n,add(m,x)) -> #rm(n,x) #4: #purge(add(n,x)) -> #purge(rm(n,x)) #5: #purge(add(n,x)) -> #rm(n,x) #6: #if_rm(false(),n,add(m,x)) -> #rm(n,x) #7: #eq(s(x),s(y)) -> #eq(x,y) Number of SCCs: 3, DPs: 5 SCC { #4 } POLO(Sum)... succeeded. if_rm w: x3 + 30613 s w: 1 #if_rm w: 0 #purge w: x1 eq w: 1 false w: 2 true w: 2 purge w: 0 #eq w: 0 0 w: 1 nil w: 1 add w: x1 + x2 + 30614 rm w: x2 + 30613 #rm w: 0 USABLE RULES: { 5..8 } Removed DPs: #4 Number of SCCs: 2, DPs: 4 SCC { #7 } POLO(Sum)... succeeded. if_rm w: x3 + 33954 s w: x1 + 1 #if_rm w: 0 #purge w: x1 eq w: 1 false w: 2 true w: 2 purge w: 0 #eq w: x1 + x2 0 w: 1 nil w: 1 add w: x1 + x2 + 30614 rm w: x2 + 33954 #rm w: 0 USABLE RULES: { 5..8 } Removed DPs: #7 Number of SCCs: 1, DPs: 3 SCC { #1 #3 #6 } POLO(Sum)... succeeded. if_rm w: x3 + 1 s w: x1 + 1 #if_rm w: x3 #purge w: x1 eq w: 1 false w: 2 true w: 2 purge w: 0 #eq w: 0 0 w: 1 nil w: 1 add w: x1 + x2 + 30614 rm w: x2 + 1 #rm w: x2 + 30613 USABLE RULES: { 5..8 } Removed DPs: #1 #3 #6 Number of SCCs: 0, DPs: 0 Next Dependency Pairs: Number of SCCs: 0, DPs: 0
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