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TRS Standard pair #516965028
details
property
value
status
complete
benchmark
027.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n034.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.048063993454 seconds
cpu usage
0.049669394
max memory
1.0498048E7
stage attributes
key
value
output-size
2814
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: app(app(plus(),0()),y) -> y 2: app(app(plus(),app(s(),x)),y) -> app(s(),app(app(plus(),x),y)) 3: app(inc(),xs) -> app(app(map(),app(plus(),app(s(),0()))),xs) 4: app(app(map(),f),nil()) -> nil() 5: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) Number of strict rules: 5 Direct poly ... failed. Freezing app 1: app❆2_plus(0(),y) -> y 2: app❆2_plus(app❆1_s(x),y) -> app❆1_s(app❆2_plus(x,y)) 3: app❆1_inc(xs) -> app❆2_map(app❆1_plus(app❆1_s(0())),xs) 4: app❆2_map(f,nil()) -> nil() 5: app❆2_map(f,app❆2_cons(x,xs)) -> app❆2_cons(app(f,x),app❆2_map(f,xs)) 6: app(plus(),_1) ->= app❆1_plus(_1) 7: app(app❆1_plus(_1),_2) ->= app❆2_plus(_1,_2) 8: app(cons(),_1) ->= app❆1_cons(_1) 9: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2) 10: app(s(),_1) ->= app❆1_s(_1) 11: app(inc(),_1) ->= app❆1_inc(_1) 12: app(map(),_1) ->= app❆1_map(_1) 13: app(app❆1_map(_1),_2) ->= app❆2_map(_1,_2) Number of strict rules: 5 Direct poly ... failed. Dependency Pairs: #1: #app❆2_plus(app❆1_s(x),y) -> #app❆2_plus(x,y) #2: #app(app❆1_map(_1),_2) ->? #app❆2_map(_1,_2) #3: #app(inc(),_1) ->? #app❆1_inc(_1) #4: #app(app❆1_plus(_1),_2) ->? #app❆2_plus(_1,_2) #5: #app❆2_map(f,app❆2_cons(x,xs)) -> #app(f,x) #6: #app❆2_map(f,app❆2_cons(x,xs)) -> #app❆2_map(f,xs) #7: #app❆1_inc(xs) -> #app❆2_map(app❆1_plus(app❆1_s(0())),xs) Number of SCCs: 2, DPs: 6 SCC { #1 } Sum... succeeded. #app❆2_map(x1,x2) w: (0) s() w: (0) app❆1_map(x1) w: (0) app❆1_plus(x1) w: (0) app❆2_plus(x1,x2) w: (0) app❆2_map(x1,x2) w: (0) inc() w: (0) 0() w: (0) #app❆2_plus(x1,x2) w: (x1) app❆1_inc(x1) w: (0) nil() w: (0) #app(x1,x2) w: (0) map() w: (0) #app❆1_inc(x1) w: (0) plus() w: (0) cons() w: (0) app❆2_cons(x1,x2) w: (0) app❆1_s(x1) w: (1 + x1) app❆1_cons(x1) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 5 SCC { #2 #3 #5..7 } Sum... succeeded. #app❆2_map(x1,x2) w: (x2 + x1) s() w: (0) app❆1_map(x1) w: (1 + x1) app❆1_plus(x1) w: (7719 + x1) app❆2_plus(x1,x2) w: (0) app❆2_map(x1,x2) w: (0) inc() w: (1) 0() w: (1) #app❆2_plus(x1,x2) w: (0) app❆1_inc(x1) w: (0) nil() w: (0) #app(x1,x2) w: (7722 + x2 + x1) map() w: (0) #app❆1_inc(x1) w: (7721 + x1) plus() w: (0) cons() w: (0) app❆2_cons(x1,x2) w: (7723 + x2 + x1) app❆1_s(x1) w: (x1) app❆1_cons(x1) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #2 #3 #5..7 Number of SCCs: 0, DPs: 0
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