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TRS Standard pair #487073666
details
property
value
status
complete
benchmark
TypeEx1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0964269 seconds
cpu usage
0.033777
user time
0.019831
system time
0.013946
max virtual memory
113188.0
max residence set size
9312.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: ap(ap(ff(),x),x) -> ap(ap(x,ap(ff(),x)),ap(ap(cons(),x),nil())) Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying ap 1: ap^2_ff(x,x) -> ap(ap(x,ap^1_ff(x)),ap^2_cons(x,nil())) 2: ap(cons(),_1) ->= ap^1_cons(_1) 3: ap(ap^1_cons(_1),_2) ->= ap^2_cons(_1,_2) 4: ap(ff(),_1) ->= ap^1_ff(_1) 5: ap(ap^1_ff(_1),_2) ->= ap^2_ff(_1,_2) Number of strict rules: 1 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #ap(ap^1_ff(_1),_2) ->? #ap^2_ff(_1,_2) #2: #ap^2_ff(x,x) -> #ap(ap(x,ap^1_ff(x)),ap^2_cons(x,nil())) #3: #ap^2_ff(x,x) -> #ap(x,ap^1_ff(x)) Number of SCCs: 1, DPs: 3 SCC { #1..3 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. ap^2_cons w: 0 ap w: max(x1 - 26289, x2 - 26288, 0) ff w: 35235 #ap^2_ff w: max(x2 + 26287, 0) nil w: 0 ap^1_ff w: 1 #ap w: max(x1 + x2 + 26286, 0) cons w: 70256 ap^2_ff w: max(x2 - 52578, 0) ap^1_cons w: 43967 USABLE RULES: { 1..5 } Removed DPs: #2 Number of SCCs: 1, DPs: 2 SCC { #1 #3 } POLO(Sum)... succeeded. ap^2_cons w: 0 ap w: x1 + x2 ff w: 283 #ap^2_ff w: x1 + 1 nil w: 1 ap^1_ff w: x1 + 283 #ap w: x1 cons w: 1 ap^2_ff w: x1 + x2 + 283 ap^1_cons w: x1 + 1 USABLE RULES: { 1..5 } Removed DPs: #1 #3 Number of SCCs: 0, DPs: 0
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