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TRS Standard pair #516967408
details
property
value
status
complete
benchmark
Ex5Folding.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n069.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.771537065506 seconds
cpu usage
0.706302105
max memory
3.5504128E7
stage attributes
key
value
output-size
4714
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: app(app(app(fold(),f),x),nil()) -> x 2: app(app(app(fold(),f),x),app(app(cons(),y),z)) -> app(app(f,y),app(app(app(fold(),f),x),z)) 3: app(app(plus(),0()),y) -> y 4: app(app(plus(),app(s(),x)),y) -> app(s(),app(app(plus(),x),y)) 5: app(app(times(),0()),y) -> 0() 6: app(app(times(),app(s(),x)),y) -> app(app(plus(),app(app(times(),x),y)),y) 7: sum() -> app(app(fold(),add()),0()) 8: prod() -> app(app(fold(),mul()),app(s(),0())) Number of strict rules: 8 Direct poly ... failed. Freezing app 1: app❆3_fold(f,x,nil()) -> x 2: app❆3_fold(f,x,app❆2_cons(y,z)) -> app(app(f,y),app❆3_fold(f,x,z)) 3: app❆2_plus(0(),y) -> y 4: app❆2_plus(app❆1_s(x),y) -> app❆1_s(app❆2_plus(x,y)) 5: app❆2_times(0(),y) -> 0() 6: app❆2_times(app❆1_s(x),y) -> app❆2_plus(app❆2_times(x,y),y) 7: sum() -> app❆2_fold(add(),0()) 8: prod() -> app❆2_fold(mul(),app❆1_s(0())) 9: app(plus(),_1) ->= app❆1_plus(_1) 10: app(app❆1_plus(_1),_2) ->= app❆2_plus(_1,_2) 11: app(cons(),_1) ->= app❆1_cons(_1) 12: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2) 13: app(times(),_1) ->= app❆1_times(_1) 14: app(app❆1_times(_1),_2) ->= app❆2_times(_1,_2) 15: app(s(),_1) ->= app❆1_s(_1) 16: app(fold(),_1) ->= app❆1_fold(_1) 17: app(app❆1_fold(_1),_2) ->= app❆2_fold(_1,_2) 18: app(app❆2_fold(_1,_2),_3) ->= app❆3_fold(_1,_2,_3) Number of strict rules: 8 Direct poly ... failed. Dependency Pairs: #1: #app❆3_fold(f,x,app❆2_cons(y,z)) -> #app(app(f,y),app❆3_fold(f,x,z)) #2: #app❆3_fold(f,x,app❆2_cons(y,z)) -> #app(f,y) #3: #app❆3_fold(f,x,app❆2_cons(y,z)) -> #app❆3_fold(f,x,z) #4: #app❆2_times(app❆1_s(x),y) -> #app❆2_plus(app❆2_times(x,y),y) #5: #app❆2_times(app❆1_s(x),y) -> #app❆2_times(x,y) #6: #app(app❆1_times(_1),_2) ->? #app❆2_times(_1,_2) #7: #app(app❆1_plus(_1),_2) ->? #app❆2_plus(_1,_2) #8: #app❆2_plus(app❆1_s(x),y) -> #app❆2_plus(x,y) #9: #app(app❆2_fold(_1,_2),_3) ->? #app❆3_fold(_1,_2,_3) Number of SCCs: 3, DPs: 6 SCC { #5 } Sum... succeeded. mul() w: (0) prod() w: (0) s() w: (0) app❆1_plus(x1) w: (0) #prod() w: (0) app❆2_plus(x1,x2) w: (0) app❆3_fold(x1,x2,x3) w: (0) #app❆3_fold(x1,x2,x3) w: (0) sum() w: (0) app❆2_fold(x1,x2) w: (0) 0() w: (0) #app❆2_plus(x1,x2) w: (0) times() w: (0) nil() w: (0) #app(x1,x2) w: (0) fold() w: (0) #app❆2_times(x1,x2) w: (x1) plus() w: (0) cons() w: (0) app❆2_cons(x1,x2) w: (0) app❆2_times(x1,x2) w: (0) add() w: (0) app❆1_s(x1) w: (1 + x1) #sum() w: (0) app❆1_cons(x1) w: (0) app❆1_fold(x1) w: (0) app❆1_times(x1) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #5 Number of SCCs: 2, DPs: 5 SCC { #8 } Sum... succeeded. mul() w: (0) prod() w: (0) s() w: (0) app❆1_plus(x1) w: (0) #prod() w: (0) app❆2_plus(x1,x2) w: (0) app❆3_fold(x1,x2,x3) w: (0) #app❆3_fold(x1,x2,x3) w: (0) sum() w: (0) app❆2_fold(x1,x2) w: (0) 0() w: (0) #app❆2_plus(x1,x2) w: (x1) times() w: (0) nil() w: (0) #app(x1,x2) w: (0)
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