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TRS Standard pair #516964838
details
property
value
status
complete
benchmark
30.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n080.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.346760988235 seconds
cpu usage
0.445387379
max memory
1.9001344E7
stage attributes
key
value
output-size
6168
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: app(app(:(),app(app(:(),app(app(:(),app(app(:(),C()),x)),y)),z)),u) -> app(app(:(),app(app(:(),x),z)),app(app(:(),app(app(:(),app(app(:(),x),y)),z)),u)) 2: app(app(map(),f),nil()) -> nil() 3: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) 4: app(app(filter(),f),nil()) -> nil() 5: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) 6: app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) 7: app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) Number of strict rules: 7 Direct poly ... failed. Freezing app 1: app❆2_:(app❆2_:(app❆2_:(app❆2_:(C(),x),y),z),u) -> app❆2_:(app❆2_:(x,z),app❆2_:(app❆2_:(app❆2_:(x,y),z),u)) 2: app❆2_map(f,nil()) -> nil() 3: app❆2_map(f,app❆2_cons(x,xs)) -> app❆2_cons(app(f,x),app❆2_map(f,xs)) 4: app❆2_filter(f,nil()) -> nil() 5: app❆2_filter(f,app❆2_cons(x,xs)) -> app❆4_filter2(app(f,x),f,x,xs) 6: app❆4_filter2(true(),f,x,xs) -> app❆2_cons(x,app❆2_filter(f,xs)) 7: app❆4_filter2(false(),f,x,xs) -> app❆2_filter(f,xs) 8: app(cons(),_1) ->= app❆1_cons(_1) 9: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2) 10: app(:(),_1) ->= app❆1_:(_1) 11: app(app❆1_:(_1),_2) ->= app❆2_:(_1,_2) 12: app(filter(),_1) ->= app❆1_filter(_1) 13: app(app❆1_filter(_1),_2) ->= app❆2_filter(_1,_2) 14: app(map(),_1) ->= app❆1_map(_1) 15: app(app❆1_map(_1),_2) ->= app❆2_map(_1,_2) 16: app(filter2(),_1) ->= app❆1_filter2(_1) 17: app(app❆1_filter2(_1),_2) ->= app❆2_filter2(_1,_2) 18: app(app❆2_filter2(_1,_2),_3) ->= app❆3_filter2(_1,_2,_3) 19: app(app❆3_filter2(_1,_2,_3),_4) ->= app❆4_filter2(_1,_2,_3,_4) Number of strict rules: 7 Direct poly ... failed. Dependency Pairs: #1: #app❆4_filter2(true(),f,x,xs) -> #app❆2_filter(f,xs) #2: #app(app❆1_filter(_1),_2) ->? #app❆2_filter(_1,_2) #3: #app(app❆1_:(_1),_2) ->? #app❆2_:(_1,_2) #4: #app❆4_filter2(false(),f,x,xs) -> #app❆2_filter(f,xs) #5: #app❆2_filter(f,app❆2_cons(x,xs)) -> #app❆4_filter2(app(f,x),f,x,xs) #6: #app❆2_filter(f,app❆2_cons(x,xs)) -> #app(f,x) #7: #app(app❆3_filter2(_1,_2,_3),_4) ->? #app❆4_filter2(_1,_2,_3,_4) #8: #app❆2_map(f,app❆2_cons(x,xs)) -> #app(f,x) #9: #app❆2_map(f,app❆2_cons(x,xs)) -> #app❆2_map(f,xs) #10: #app❆2_:(app❆2_:(app❆2_:(app❆2_:(C(),x),y),z),u) -> #app❆2_:(app❆2_:(x,z),app❆2_:(app❆2_:(app❆2_:(x,y),z),u)) #11: #app❆2_:(app❆2_:(app❆2_:(app❆2_:(C(),x),y),z),u) -> #app❆2_:(x,z) #12: #app❆2_:(app❆2_:(app❆2_:(app❆2_:(C(),x),y),z),u) -> #app❆2_:(app❆2_:(app❆2_:(x,y),z),u) #13: #app❆2_:(app❆2_:(app❆2_:(app❆2_:(C(),x),y),z),u) -> #app❆2_:(app❆2_:(x,y),z) #14: #app❆2_:(app❆2_:(app❆2_:(app❆2_:(C(),x),y),z),u) -> #app❆2_:(x,y) #15: #app(app❆1_map(_1),_2) ->? #app❆2_map(_1,_2) Number of SCCs: 2, DPs: 13 SCC { #1 #2 #4 #6..9 #15 } Sum... succeeded. #app❆2_map(x1,x2) w: (21238 + x2 + x1) app❆1_map(x1) w: (21239 + x1) app❆4_filter2(x1,x2,x3,x4) w: (0) app❆2_map(x1,x2) w: (0) false() w: (1) app❆2_:(x1,x2) w: (0) C() w: (0) app❆1_:(x1) w: (0) true() w: (1) filter2() w: (0) app❆2_filter(x1,x2) w: (0) :() w: (0) nil() w: (0) app❆1_filter(x1) w: (7720 + x1) #app(x1,x2) w: (x2 + x1) map() w: (0) #app❆4_filter2(x1,x2,x3,x4) w: (7719 + x4 + x2 + x1) app❆2_filter2(x1,x2) w: (0) #app❆2_filter(x1,x2) w: (7719 + x2 + x1) cons() w: (0) app❆2_cons(x1,x2) w: (1 + x2 + x1) filter() w: (0) app❆1_filter2(x1) w: (0) #app❆2_:(x1,x2) w: (0) app❆1_cons(x1) w: (0) app❆3_filter2(x1,x2,x3) w: (7758 + x2 + x1) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #1 #2 #4 #6..9 #15 Number of SCCs: 1, DPs: 5 SCC { #10..14 } Sum... Max... succeeded. #app❆2_map(x1,x2) w: (0) app❆1_map(x1) w: (0) app❆4_filter2(x1,x2,x3,x4) w: (0) app❆2_map(x1,x2) w: (0) false() w: (0) app❆2_:(x1,x2) w: (max{x2, 21239 + x1}) C() w: (0) app❆1_:(x1) w: (0) true() w: (0) filter2() w: (0)
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