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TRS Standard pair #487072526
details
property
value
status
complete
benchmark
thiemann40_modified.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.star.cs.uiowa.edu
space
AProVE_08
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.100831 seconds
cpu usage
0.039642
user time
0.013206
system time
0.026436
max virtual memory
113188.0
max residence set size
6448.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: nonZero(0()) -> false() 2: nonZero(s(x)) -> true() 3: p(s(0())) -> 0() 4: p(s(s(x))) -> s(p(s(x))) 5: id_inc(x) -> x 6: id_inc(x) -> s(x) 7: random(x) -> rand(x,0()) 8: rand(x,y) -> if(nonZero(x),x,y) 9: if(false(),x,y) -> y 10: if(true(),x,y) -> rand(p(x),id_inc(y)) Number of strict rules: 10 Direct POLO(bPol) ... failed. Uncurrying p 1: nonZero(0()) -> false() 2: nonZero(s(x)) -> true() 3: p^1_s(0()) -> 0() 4: p^1_s(s(x)) -> s(p^1_s(x)) 5: id_inc(x) -> x 6: id_inc(x) -> s(x) 7: random(x) -> rand(x,0()) 8: rand(x,y) -> if(nonZero(x),x,y) 9: if(false(),x,y) -> y 10: if(true(),x,y) -> rand(p(x),id_inc(y)) 11: p(s(_1)) ->= p^1_s(_1) Number of strict rules: 10 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #p(s(_1)) ->? #p^1_s(_1) #2: #random(x) -> #rand(x,0()) #3: #if(true(),x,y) -> #rand(p(x),id_inc(y)) #4: #if(true(),x,y) -> #p(x) #5: #if(true(),x,y) -> #id_inc(y) #6: #rand(x,y) -> #if(nonZero(x),x,y) #7: #rand(x,y) -> #nonZero(x) #8: #p^1_s(s(x)) -> #p^1_s(x) Number of SCCs: 2, DPs: 3 SCC { #8 } POLO(Sum)... succeeded. s w: x1 + 1 #rand w: 0 nonZero w: 0 #p^1_s w: x1 false w: 0 p^1_s w: 0 #p w: 0 true w: 0 #nonZero w: 0 rand w: 0 #id_inc w: 0 p w: 0 0 w: 0 if w: 0 random w: 0 #random w: 0 id_inc w: 0 #if w: 0 USABLE RULES: { } Removed DPs: #8 Number of SCCs: 1, DPs: 2 SCC { #3 #6 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. s w: max(x1 + 42742, 0) #rand w: max(x1 + 10453, 0) nonZero w: max(x1 - 32287, 0) #p^1_s w: max(x1 - 1, 0) false w: 0 p^1_s w: max(x1 + 1, 0) #p w: max(x1 - 1, 0) true w: 10455 #nonZero w: 0 rand w: 0 #id_inc w: max(x1 - 1, 0) p w: max(x1 - 2, 0) 0 w: 32286 if w: max(x2 - 1, 0) random w: 0 #random w: max(x1 - 1, 0) id_inc w: 0 #if w: max(x1 - 1, x2 + 10452, 0) USABLE RULES: { 1..4 11 } Removed DPs: #3 #6 Number of SCCs: 0, DPs: 0
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