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TRS Standard pair #487073311
details
property
value
status
complete
benchmark
016.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
AotoYamada_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0538821 seconds
cpu usage
0.027983
user time
0.01669
system time
0.011293
max virtual memory
113188.0
max residence set size
6264.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: app(app(neq(),0()),0()) -> false() 2: app(app(neq(),0()),app(s(),y)) -> true() 3: app(app(neq(),app(s(),x)),0()) -> true() 4: app(app(neq(),app(s(),x)),app(s(),y)) -> app(app(neq(),x),y) 5: app(app(filter(),f),nil()) -> nil() 6: app(app(filter(),f),app(app(cons(),y),ys)) -> app(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys)) 7: app(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app(app(cons(),y),app(app(filter(),f),ys)) 8: app(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app(app(filter(),f),ys) 9: nonzero() -> app(filter(),app(neq(),0())) Number of strict rules: 9 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_neq(0(),0()) -> false() 2: app^2_neq(0(),app^1_s(y)) -> true() 3: app^2_neq(app^1_s(x),0()) -> true() 4: app^2_neq(app^1_s(x),app^1_s(y)) -> app^2_neq(x,y) 5: app^2_filter(f,nil()) -> nil() 6: app^2_filter(f,app^2_cons(y,ys)) -> app^3_filtersub(app(f,y),f,app^2_cons(y,ys)) 7: app^3_filtersub(true(),f,app^2_cons(y,ys)) -> app^2_cons(y,app^2_filter(f,ys)) 8: app^3_filtersub(false(),f,app^2_cons(y,ys)) -> app^2_filter(f,ys) 9: nonzero() -> app^1_filter(app^1_neq(0())) 10: app(cons(),_1) ->= app^1_cons(_1) 11: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 12: app(neq(),_1) ->= app^1_neq(_1) 13: app(app^1_neq(_1),_2) ->= app^2_neq(_1,_2) 14: app(s(),_1) ->= app^1_s(_1) 15: app(filter(),_1) ->= app^1_filter(_1) 16: app(app^1_filter(_1),_2) ->= app^2_filter(_1,_2) 17: app(filtersub(),_1) ->= app^1_filtersub(_1) 18: app(app^1_filtersub(_1),_2) ->= app^2_filtersub(_1,_2) 19: app(app^2_filtersub(_1,_2),_3) ->= app^3_filtersub(_1,_2,_3) Number of strict rules: 9 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^2_filter(f,app^2_cons(y,ys)) -> #app^3_filtersub(app(f,y),f,app^2_cons(y,ys)) #2: #app^2_filter(f,app^2_cons(y,ys)) -> #app(f,y) #3: #app(app^1_neq(_1),_2) ->? #app^2_neq(_1,_2) #4: #app^3_filtersub(true(),f,app^2_cons(y,ys)) -> #app^2_filter(f,ys) #5: #app(app^2_filtersub(_1,_2),_3) ->? #app^3_filtersub(_1,_2,_3) #6: #app(app^1_filter(_1),_2) ->? #app^2_filter(_1,_2) #7: #app^3_filtersub(false(),f,app^2_cons(y,ys)) -> #app^2_filter(f,ys) #8: #app^2_neq(app^1_s(x),app^1_s(y)) -> #app^2_neq(x,y) Number of SCCs: 2, DPs: 7 SCC { #8 } POLO(Sum)... succeeded. neq w: 0 s w: 0 app^1_cons w: 0 #app^2_neq w: x1 + x2 app^2_filtersub w: 0 false w: 0 nonzero w: 0 true w: 0 app^2_neq w: 0 app^1_neq w: 0 filtersub w: 0 0 w: 0 app^3_filtersub w: 0 nil w: 0 app^1_filtersub w: 0 #app w: 0 app^1_filter w: 0 #app^3_filtersub w: 0 #nonzero w: 0 cons w: 0 filter w: 0 app^2_filter w: 0 app^2_cons w: 0 app^1_s w: x1 + 1 #app^2_filter w: 0 app w: 0 USABLE RULES: { } Removed DPs: #8 Number of SCCs: 1, DPs: 6 SCC { #1 #2 #4..7 } POLO(Sum)... succeeded. neq w: 1 s w: 1 app^1_cons w: x1 + 9712 #app^2_neq w: 0 app^2_filtersub w: x1 + x2 + 9712 false w: 9715 nonzero w: 0 true w: 19426 app^2_neq w: x1 + x2 + 9712 app^1_neq w: x1 + 9712 filtersub w: 1 0 w: 1 app^3_filtersub w: x2 + x3 + 9712 nil w: 9714 app^1_filtersub w: x1 + 9712 #app w: x1 + x2 app^1_filter w: x1 + 42737 #app^3_filtersub w: x2 + x3 #nonzero w: 0 cons w: 1 filter w: 1 app^2_filter w: x1 + 9713
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