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TRS Stand 20472 pair #381710501
details
property
value
status
complete
benchmark
#3.55.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.204674959183 seconds
cpu usage
0.232126547
max memory
1.2140544E7
stage attributes
key
value
output-size
20052
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'(minus(),x),0()) -> x 2: app'(app'(minus(),app'(s(),x)),app'(s(),y)) -> app'(app'(minus(),x),y) 3: app'(app'(quot(),0()),app'(s(),y)) -> 0() 4: app'(app'(quot(),app'(s(),x)),app'(s(),y)) -> app'(s(),app'(app'(quot(),app'(app'(minus(),x),y)),app'(s(),y))) 5: app'(app'(le(),0()),y) -> true() 6: app'(app'(le(),app'(s(),x)),0()) -> false() 7: app'(app'(le(),app'(s(),x)),app'(s(),y)) -> app'(app'(le(),x),y) 8: app'(app'(app(),nil()),y) -> y 9: app'(app'(app(),app'(app'(add(),n),x)),y) -> app'(app'(add(),n),app'(app'(app(),x),y)) 10: app'(app'(low(),n),nil()) -> nil() 11: app'(app'(low(),n),app'(app'(add(),m),x)) -> app'(app'(app'(if_low(),app'(app'(le(),m),n)),n),app'(app'(add(),m),x)) 12: app'(app'(app'(if_low(),true()),n),app'(app'(add(),m),x)) -> app'(app'(add(),m),app'(app'(low(),n),x)) 13: app'(app'(app'(if_low(),false()),n),app'(app'(add(),m),x)) -> app'(app'(low(),n),x) 14: app'(app'(high(),n),nil()) -> nil() 15: app'(app'(high(),n),app'(app'(add(),m),x)) -> app'(app'(app'(if_high(),app'(app'(le(),m),n)),n),app'(app'(add(),m),x)) 16: app'(app'(app'(if_high(),true()),n),app'(app'(add(),m),x)) -> app'(app'(high(),n),x) 17: app'(app'(app'(if_high(),false()),n),app'(app'(add(),m),x)) -> app'(app'(add(),m),app'(app'(high(),n),x)) 18: app'(quicksort(),nil()) -> nil() 19: app'(quicksort(),app'(app'(add(),n),x)) -> app'(app'(app(),app'(quicksort(),app'(app'(low(),n),x))),app'(app'(add(),n),app'(quicksort(),app'(app'(high(),n),x)))) 20: app'(app'(map(),f),nil()) -> nil() 21: app'(app'(map(),f),app'(app'(add(),x),xs)) -> app'(app'(add(),app'(f,x)),app'(app'(map(),f),xs)) 22: app'(app'(filter(),f),nil()) -> nil() 23: app'(app'(filter(),f),app'(app'(add(),x),xs)) -> app'(app'(app'(app'(filter2(),app'(f,x)),f),x),xs) 24: app'(app'(app'(app'(filter2(),true()),f),x),xs) -> app'(app'(add(),x),app'(app'(filter(),f),xs)) 25: app'(app'(app'(app'(filter2(),false()),f),x),xs) -> app'(app'(filter(),f),xs) Number of strict rules: 25 Direct POLO(bPol) ... failed. Uncurrying 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'^2_quot(0(),app'^1_s(y)) -> 0() 4: app'^2_quot(app'^1_s(x),app'^1_s(y)) -> app'^1_s(app'^2_quot(app'^2_minus(x,y),app'^1_s(y))) 5: app'^2_le(0(),y) -> true() 6: app'^2_le(app'^1_s(x),0()) -> false() 7: app'^2_le(app'^1_s(x),app'^1_s(y)) -> app'^2_le(x,y) 8: app'^2_app(nil(),y) -> y 9: app'^2_app(app'^2_add(n,x),y) -> app'^2_add(n,app'^2_app(x,y)) 10: app'^2_low(n,nil()) -> nil() 11: app'^2_low(n,app'^2_add(m,x)) -> app'^3_if_low(app'^2_le(m,n),n,app'^2_add(m,x)) 12: app'^3_if_low(true(),n,app'^2_add(m,x)) -> app'^2_add(m,app'^2_low(n,x)) 13: app'^3_if_low(false(),n,app'^2_add(m,x)) -> app'^2_low(n,x) 14: app'^2_high(n,nil()) -> nil() 15: app'^2_high(n,app'^2_add(m,x)) -> app'^3_if_high(app'^2_le(m,n),n,app'^2_add(m,x)) 16: app'^3_if_high(true(),n,app'^2_add(m,x)) -> app'^2_high(n,x) 17: app'^3_if_high(false(),n,app'^2_add(m,x)) -> app'^2_add(m,app'^2_high(n,x)) 18: app'^1_quicksort(nil()) -> nil() 19: app'^1_quicksort(app'^2_add(n,x)) -> app'^2_app(app'^1_quicksort(app'^2_low(n,x)),app'^2_add(n,app'^1_quicksort(app'^2_high(n,x)))) 20: app'^2_map(f,nil()) -> nil() 21: app'^2_map(f,app'^2_add(x,xs)) -> app'^2_add(app'(f,x),app'^2_map(f,xs)) 22: app'^2_filter(f,nil()) -> nil() 23: app'^2_filter(f,app'^2_add(x,xs)) -> app'^4_filter2(app'(f,x),f,x,xs) 24: app'^4_filter2(true(),f,x,xs) -> app'^2_add(x,app'^2_filter(f,xs)) 25: app'^4_filter2(false(),f,x,xs) -> app'^2_filter(f,xs) 26: app'(le(),_1) ->= app'^1_le(_1) 27: app'(app'^1_le(_1),_2) ->= app'^2_le(_1,_2) 28: app'(quot(),_1) ->= app'^1_quot(_1) 29: app'(app'^1_quot(_1),_2) ->= app'^2_quot(_1,_2) 30: app'(high(),_1) ->= app'^1_high(_1) 31: app'(app'^1_high(_1),_2) ->= app'^2_high(_1,_2) 32: app'(add(),_1) ->= app'^1_add(_1) 33: app'(app'^1_add(_1),_2) ->= app'^2_add(_1,_2) 34: app'(s(),_1) ->= app'^1_s(_1) 35: app'(filter(),_1) ->= app'^1_filter(_1) 36: app'(app'^1_filter(_1),_2) ->= app'^2_filter(_1,_2) 37: app'(if_low(),_1) ->= app'^1_if_low(_1) 38: app'(app'^1_if_low(_1),_2) ->= app'^2_if_low(_1,_2) 39: app'(app'^2_if_low(_1,_2),_3) ->= app'^3_if_low(_1,_2,_3) 40: app'(map(),_1) ->= app'^1_map(_1) 41: app'(app'^1_map(_1),_2) ->= app'^2_map(_1,_2) 42: app'(minus(),_1) ->= app'^1_minus(_1) 43: app'(app'^1_minus(_1),_2) ->= app'^2_minus(_1,_2) 44: app'(quicksort(),_1) ->= app'^1_quicksort(_1) 45: app'(if_high(),_1) ->= app'^1_if_high(_1) 46: app'(app'^1_if_high(_1),_2) ->= app'^2_if_high(_1,_2) 47: app'(app'^2_if_high(_1,_2),_3) ->= app'^3_if_high(_1,_2,_3) 48: app'(filter2(),_1) ->= app'^1_filter2(_1) 49: app'(app'^1_filter2(_1),_2) ->= app'^2_filter2(_1,_2) 50: app'(app'^2_filter2(_1,_2),_3) ->= app'^3_filter2(_1,_2,_3) 51: app'(app'^3_filter2(_1,_2,_3),_4) ->= app'^4_filter2(_1,_2,_3,_4) 52: app'(app(),_1) ->= app'^1_app(_1) 53: app'(app'^1_app(_1),_2) ->= app'^2_app(_1,_2) 54: app'(low(),_1) ->= app'^1_low(_1) 55: app'(app'^1_low(_1),_2) ->= app'^2_low(_1,_2) Number of strict rules: 25 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app'^2_minus(app'^1_s(x),app'^1_s(y)) -> #app'^2_minus(x,y) #2: #app'(app'^1_minus(_1),_2) ->? #app'^2_minus(_1,_2) #3: #app'(app'^1_quot(_1),_2) ->? #app'^2_quot(_1,_2) #4: #app'(app'^1_map(_1),_2) ->? #app'^2_map(_1,_2) #5: #app'(app'^2_if_high(_1,_2),_3) ->? #app'^3_if_high(_1,_2,_3) #6: #app'(app'^1_app(_1),_2) ->? #app'^2_app(_1,_2)
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