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TRS Equat 89423 pair #381732794
details
property
value
status
complete
benchmark
AC07.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.0772149562836 seconds
cpu usage
0.08606369
max memory
1.1374592E7
stage attributes
key
value
output-size
4322
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: AC symbols: plus 1: sum(x,y) -> S(int(x,y)) 2: S(nil()) -> 0() 3: S(cons(x,xs)) -> plus(x,S(xs)) 4: plus(x,0()) -> x 5: plus(x,s(y)) -> s(plus(x,y)) 6: int(0(),0()) -> cons(0(),nil()) 7: int(0(),s(y)) -> cons(0(),int(s(0()),s(y))) 8: int(s(x),0()) -> nil() 9: int(s(x),s(y)) -> intlist(int(x,y)) 10: intlist(nil()) -> nil() 11: intlist(cons(x,y)) -> cons(s(x),intlist(y)) Number of strict rules: 11 Direct POLO(bPol) ... removes: 8 1 6 2 s w: x1 S w: x1 sum w: x1 + x2 + 3 0 w: 0 nil w: 1 intlist w: x1 int w: x1 + x2 + 2 plus w: x1 + x2 cons w: x1 + x2 Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying int AC symbols: plus 3: S(cons(x,xs)) -> plus(x,S(xs)) 4: plus(x,0()) -> x 5: plus(x,s(y)) -> s(plus(x,y)) 7: int^1_0(s(y)) -> cons(0(),int^1_s(0(),s(y))) 9: int^1_s(x,s(y)) -> intlist(int(x,y)) 10: intlist(nil()) -> nil() 11: intlist(cons(x,y)) -> cons(s(x),intlist(y)) 12: int(0(),_1) ->= int^1_0(_1) 13: int(s(_1),_2) ->= int^1_s(_1,_2) Number of strict rules: 7 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #int(s(_1),_2) ->? #int^1_s(_1,_2) #2: #int^1_s(x,s(y)) -> #intlist(int(x,y)) #3: #int^1_s(x,s(y)) -> #int(x,y) #4: #intlist(cons(x,y)) -> #intlist(y) #5: #int(0(),_1) ->? #int^1_0(_1) #6: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #7: #plus(x,plus(y,z)) ->= #plus(x,y) #8: #int^1_0(s(y)) -> #int^1_s(0(),s(y)) #9: #plus(x,s(y)) -> #plus(x,y) #10: #S(cons(x,xs)) -> #plus(x,S(xs)) #11: #S(cons(x,xs)) -> #S(xs) Number of SCCs: 4, DPs: 9 SCC { #11 } POLO(Sum)... succeeded. int^1_0 w: 0 #intlist w: 0 s w: 0 S w: 0 #plus w: 0 sum w: 0 0 w: 0 nil w: 0 intlist w: 0 #int^1_0 w: 0 int w: 0 #S w: x1 plus w: 0 cons w: x2 + 1 int^1_s w: 0 #int^1_s w: 0 #int w: 0 USABLE RULES: { } Removed DPs: #11 Number of SCCs: 3, DPs: 8 SCC { #4 } POLO(Sum)... succeeded. int^1_0 w: 0 #intlist w: x1 s w: 0 S w: 0 #plus w: 0 sum w: 0 0 w: 0 nil w: 0 intlist w: 0 #int^1_0 w: 0 int w: 0 #S w: 0 plus w: 0 cons w: x2 + 1 int^1_s w: 0 #int^1_s w: 0 #int w: 0
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