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TRS Standard pair #487072331
details
property
value
status
complete
benchmark
13.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.238912 seconds
cpu usage
0.104134
user time
0.066935
system time
0.037199
max virtual memory
113188.0
max residence set size
8120.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: app(app(*(),x),app(app(+(),y),z)) -> app(app(+(),app(app(*(),x),y)),app(app(*(),x),z)) 2: app(app(*(),app(app(+(),y),z)),x) -> app(app(+(),app(app(*(),x),y)),app(app(*(),x),z)) 3: app(app(*(),app(app(*(),x),y)),z) -> app(app(*(),x),app(app(*(),y),z)) 4: app(app(+(),app(app(+(),x),y)),z) -> app(app(+(),x),app(app(+(),y),z)) 5: app(app(map(),f),nil()) -> nil() 6: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) 7: app(app(filter(),f),nil()) -> nil() 8: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) 9: app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) 10: app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) Number of strict rules: 10 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_*(x,app^2_+(y,z)) -> app^2_+(app^2_*(x,y),app^2_*(x,z)) 2: app^2_*(app^2_+(y,z),x) -> app^2_+(app^2_*(x,y),app^2_*(x,z)) 3: app^2_*(app^2_*(x,y),z) -> app^2_*(x,app^2_*(y,z)) 4: app^2_+(app^2_+(x,y),z) -> app^2_+(x,app^2_+(y,z)) 5: app^2_map(f,nil()) -> nil() 6: app^2_map(f,app^2_cons(x,xs)) -> app^2_cons(app(f,x),app^2_map(f,xs)) 7: app^2_filter(f,nil()) -> nil() 8: app^2_filter(f,app^2_cons(x,xs)) -> app^4_filter2(app(f,x),f,x,xs) 9: app^4_filter2(true(),f,x,xs) -> app^2_cons(x,app^2_filter(f,xs)) 10: app^4_filter2(false(),f,x,xs) -> app^2_filter(f,xs) 11: app(cons(),_1) ->= app^1_cons(_1) 12: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 13: app(filter(),_1) ->= app^1_filter(_1) 14: app(app^1_filter(_1),_2) ->= app^2_filter(_1,_2) 15: app(+(),_1) ->= app^1_+(_1) 16: app(app^1_+(_1),_2) ->= app^2_+(_1,_2) 17: app(map(),_1) ->= app^1_map(_1) 18: app(app^1_map(_1),_2) ->= app^2_map(_1,_2) 19: app(filter2(),_1) ->= app^1_filter2(_1) 20: app(app^1_filter2(_1),_2) ->= app^2_filter2(_1,_2) 21: app(app^2_filter2(_1,_2),_3) ->= app^3_filter2(_1,_2,_3) 22: app(app^3_filter2(_1,_2,_3),_4) ->= app^4_filter2(_1,_2,_3,_4) 23: app(*(),_1) ->= app^1_*(_1) 24: app(app^1_*(_1),_2) ->= app^2_*(_1,_2) Number of strict rules: 10 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^2_*(app^2_+(y,z),x) -> #app^2_+(app^2_*(x,y),app^2_*(x,z)) #2: #app^2_*(app^2_+(y,z),x) -> #app^2_*(x,y) #3: #app^2_*(app^2_+(y,z),x) -> #app^2_*(x,z) #4: #app^2_map(f,app^2_cons(x,xs)) -> #app(f,x) #5: #app^2_map(f,app^2_cons(x,xs)) -> #app^2_map(f,xs) #6: #app^4_filter2(true(),f,x,xs) -> #app^2_filter(f,xs) #7: #app(app^1_*(_1),_2) ->? #app^2_*(_1,_2) #8: #app(app^1_filter(_1),_2) ->? #app^2_filter(_1,_2) #9: #app^4_filter2(false(),f,x,xs) -> #app^2_filter(f,xs) #10: #app(app^3_filter2(_1,_2,_3),_4) ->? #app^4_filter2(_1,_2,_3,_4) #11: #app(app^1_+(_1),_2) ->? #app^2_+(_1,_2) #12: #app^2_*(app^2_*(x,y),z) -> #app^2_*(x,app^2_*(y,z)) #13: #app^2_*(app^2_*(x,y),z) -> #app^2_*(y,z) #14: #app^2_*(x,app^2_+(y,z)) -> #app^2_+(app^2_*(x,y),app^2_*(x,z)) #15: #app^2_*(x,app^2_+(y,z)) -> #app^2_*(x,y) #16: #app^2_*(x,app^2_+(y,z)) -> #app^2_*(x,z) #17: #app^2_filter(f,app^2_cons(x,xs)) -> #app^4_filter2(app(f,x),f,x,xs) #18: #app^2_filter(f,app^2_cons(x,xs)) -> #app(f,x) #19: #app^2_+(app^2_+(x,y),z) -> #app^2_+(x,app^2_+(y,z)) #20: #app^2_+(app^2_+(x,y),z) -> #app^2_+(y,z) #21: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2) Number of SCCs: 3, DPs: 16 SCC { #19 #20 } POLO(Sum)... succeeded. app^1_cons w: 0 app^1_+ w: 0 #app^2_map w: 0 app^2_filter2 w: 0 app^4_filter2 w: 0 false w: 0 app^1_* w: 0 app^2_* w: 0 app^1_filter2 w: 0 true w: 0 filter2 w: 0 #app^4_filter2 w: 0 nil w: 0 #app w: 0 map w: 0 app^1_filter w: 0 app^2_+ w: x1 + x2 + 1 cons w: 0 filter w: 0 + w: 0 app^3_filter2 w: 0 app^2_filter w: 0 app^1_map w: 0 app^2_cons w: 0 #app^2_* w: 0 app^2_map w: 0 #app^2_filter w: 0 * w: 0 #app^2_+ w: x1 app w: 0 USABLE RULES: { } Removed DPs: #19 #20 Number of SCCs: 2, DPs: 14 SCC { #2 #3 #12 #13 #15 #16 }
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