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TRS Standard pair #516964788
details
property
value
status
complete
benchmark
#3.18.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.157333135605 seconds
cpu usage
0.110810038
max memory
1.2292096E7
stage attributes
key
value
output-size
8118
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(minus(),x),0()) -> x 2: app(app(minus(),app(s(),x)),app(s(),y)) -> app(app(minus(),x),y) 3: app(double(),0()) -> 0() 4: app(double(),app(s(),x)) -> app(s(),app(s(),app(double(),x))) 5: app(app(plus(),0()),y) -> y 6: app(app(plus(),app(s(),x)),y) -> app(s(),app(app(plus(),x),y)) 7: app(app(plus(),app(s(),x)),y) -> app(app(plus(),x),app(s(),y)) 8: app(app(plus(),app(s(),x)),y) -> app(s(),app(app(plus(),app(app(minus(),x),y)),app(double(),y))) 9: app(app(map(),f),nil()) -> nil() 10: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) 11: app(app(filter(),f),nil()) -> nil() 12: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) 13: app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) 14: app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) Number of strict rules: 14 Direct poly ... failed. Freezing app 1: app❆2_minus(x,0()) -> x 2: app❆2_minus(app❆1_s(x),app❆1_s(y)) -> app❆2_minus(x,y) 3: app❆1_double(0()) -> 0() 4: app❆1_double(app❆1_s(x)) -> app❆1_s(app❆1_s(app❆1_double(x))) 5: app❆2_plus(0(),y) -> y 6: app❆2_plus(app❆1_s(x),y) -> app❆1_s(app❆2_plus(x,y)) 7: app❆2_plus(app❆1_s(x),y) -> app❆2_plus(x,app❆1_s(y)) 8: app❆2_plus(app❆1_s(x),y) -> app❆1_s(app❆2_plus(app❆2_minus(x,y),app❆1_double(y))) 9: app❆2_map(f,nil()) -> nil() 10: app❆2_map(f,app❆2_cons(x,xs)) -> app❆2_cons(app(f,x),app❆2_map(f,xs)) 11: app❆2_filter(f,nil()) -> nil() 12: app❆2_filter(f,app❆2_cons(x,xs)) -> app❆4_filter2(app(f,x),f,x,xs) 13: app❆4_filter2(true(),f,x,xs) -> app❆2_cons(x,app❆2_filter(f,xs)) 14: app❆4_filter2(false(),f,x,xs) -> app❆2_filter(f,xs) 15: app(plus(),_1) ->= app❆1_plus(_1) 16: app(app❆1_plus(_1),_2) ->= app❆2_plus(_1,_2) 17: app(cons(),_1) ->= app❆1_cons(_1) 18: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2) 19: app(double(),_1) ->= app❆1_double(_1) 20: app(s(),_1) ->= app❆1_s(_1) 21: app(filter(),_1) ->= app❆1_filter(_1) 22: app(app❆1_filter(_1),_2) ->= app❆2_filter(_1,_2) 23: app(map(),_1) ->= app❆1_map(_1) 24: app(app❆1_map(_1),_2) ->= app❆2_map(_1,_2) 25: app(minus(),_1) ->= app❆1_minus(_1) 26: app(app❆1_minus(_1),_2) ->= app❆2_minus(_1,_2) 27: app(filter2(),_1) ->= app❆1_filter2(_1) 28: app(app❆1_filter2(_1),_2) ->= app❆2_filter2(_1,_2) 29: app(app❆2_filter2(_1,_2),_3) ->= app❆3_filter2(_1,_2,_3) 30: app(app❆3_filter2(_1,_2,_3),_4) ->= app❆4_filter2(_1,_2,_3,_4) Number of strict rules: 14 Direct poly ... failed. Dependency Pairs: #1: #app❆2_minus(app❆1_s(x),app❆1_s(y)) -> #app❆2_minus(x,y) #2: #app❆2_plus(app❆1_s(x),y) -> #app❆2_plus(x,y) #3: #app❆4_filter2(true(),f,x,xs) -> #app❆2_filter(f,xs) #4: #app(app❆1_map(_1),_2) ->? #app❆2_map(_1,_2) #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❆4_filter2(false(),f,x,xs) -> #app❆2_filter(f,xs) #8: #app(app❆3_filter2(_1,_2,_3),_4) ->? #app❆4_filter2(_1,_2,_3,_4) #9: #app❆2_plus(app❆1_s(x),y) -> #app❆2_plus(x,app❆1_s(y)) #10: #app❆2_map(f,app❆2_cons(x,xs)) -> #app(f,x) #11: #app❆2_map(f,app❆2_cons(x,xs)) -> #app❆2_map(f,xs) #12: #app(app❆1_filter(_1),_2) ->? #app❆2_filter(_1,_2) #13: #app(double(),_1) ->? #app❆1_double(_1) #14: #app(app❆1_minus(_1),_2) ->? #app❆2_minus(_1,_2) #15: #app(app❆1_plus(_1),_2) ->? #app❆2_plus(_1,_2) #16: #app❆2_plus(app❆1_s(x),y) -> #app❆2_plus(app❆2_minus(x,y),app❆1_double(y)) #17: #app❆2_plus(app❆1_s(x),y) -> #app❆2_minus(x,y) #18: #app❆2_plus(app❆1_s(x),y) -> #app❆1_double(y) #19: #app❆1_double(app❆1_s(x)) -> #app❆1_double(x) Number of SCCs: 4, DPs: 14 SCC { #19 } Sum... succeeded. app❆2_minus(x1,x2) w: (0) #app❆2_map(x1,x2) w: (0) #app❆1_double(x1) w: (x1) s() w: (0) app❆1_map(x1) w: (0) app❆1_minus(x1) w: (0) app❆1_plus(x1) w: (0) minus() w: (0) app❆4_filter2(x1,x2,x3,x4) w: (0) app❆2_plus(x1,x2) w: (0) app❆2_map(x1,x2) w: (0) #app❆2_minus(x1,x2) w: (0) false() w: (0) true() w: (0) filter2() w: (0) app❆2_filter(x1,x2) w: (0) 0() w: (0) #app❆2_plus(x1,x2) w: (0) double() w: (0) nil() w: (0)
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