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TRS Standard pair #516967823
details
property
value
status
complete
benchmark
list-sum-prod-bin-assoc.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.122287034988 seconds
cpu usage
0.078252213
max memory
1.1251712E7
stage attributes
key
value
output-size
3599
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: 0(\#()) -> \#() 2: +(x,\#()) -> x 3: +(\#(),x) -> x 4: +(0(x),0(y)) -> 0(+(x,y)) 5: +(0(x),1(y)) -> 1(+(x,y)) 6: +(1(x),0(y)) -> 1(+(x,y)) 7: +(1(x),1(y)) -> 0(+(+(x,y),1(\#()))) 8: +(+(x,y),z) -> +(x,+(y,z)) 9: *(\#(),x) -> \#() 10: *(0(x),y) -> 0(*(x,y)) 11: *(1(x),y) -> +(0(*(x,y)),y) 12: *(*(x,y),z) -> *(x,*(y,z)) 13: sum(nil()) -> 0(\#()) 14: sum(cons(x,l)) -> +(x,sum(l)) 15: prod(nil()) -> 1(\#()) 16: prod(cons(x,l)) -> *(x,prod(l)) Number of strict rules: 16 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #+(1(x),0(y)) -> #+(x,y) #2: #sum(nil()) -> #0(\#()) #3: #*(1(x),y) -> #+(0(*(x,y)),y) #4: #*(1(x),y) -> #0(*(x,y)) #5: #*(1(x),y) -> #*(x,y) #6: #*(*(x,y),z) -> #*(x,*(y,z)) #7: #*(*(x,y),z) -> #*(y,z) #8: #sum(cons(x,l)) -> #+(x,sum(l)) #9: #sum(cons(x,l)) -> #sum(l) #10: #+(1(x),1(y)) -> #0(+(+(x,y),1(\#()))) #11: #+(1(x),1(y)) -> #+(+(x,y),1(\#())) #12: #+(1(x),1(y)) -> #+(x,y) #13: #*(0(x),y) -> #0(*(x,y)) #14: #*(0(x),y) -> #*(x,y) #15: #+(0(x),1(y)) -> #+(x,y) #16: #prod(cons(x,l)) -> #*(x,prod(l)) #17: #prod(cons(x,l)) -> #prod(l) #18: #+(+(x,y),z) -> #+(x,+(y,z)) #19: #+(+(x,y),z) -> #+(y,z) #20: #+(0(x),0(y)) -> #0(+(x,y)) #21: #+(0(x),0(y)) -> #+(x,y) Number of SCCs: 4, DPs: 13 SCC { #9 } Sum... succeeded. #0(x1) w: (0) 1(x1) w: (0) prod(x1) w: (0) #prod(x1) w: (0) #*(x1,x2) w: (0) \#() w: (0) sum(x1) w: (0) 0(x1) w: (0) nil() w: (0) cons(x1,x2) w: (1 + x2) +(x1,x2) w: (0) #sum(x1) w: (x1) #+(x1,x2) w: (0) *(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #9 Number of SCCs: 3, DPs: 12 SCC { #17 } Sum... succeeded. #0(x1) w: (0) 1(x1) w: (0) prod(x1) w: (0) #prod(x1) w: (x1) #*(x1,x2) w: (0) \#() w: (0) sum(x1) w: (0) 0(x1) w: (0) nil() w: (0) cons(x1,x2) w: (1 + x2) +(x1,x2) w: (0) #sum(x1) w: (0) #+(x1,x2) w: (0) *(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #17 Number of SCCs: 2, DPs: 11 SCC { #5..7 #14 } Sum... succeeded. #0(x1) w: (0) 1(x1) w: (40 + x1) prod(x1) w: (0) #prod(x1) w: (0) #*(x1,x2) w: (x1) \#() w: (1) sum(x1) w: (0) 0(x1) w: (39 + x1) nil() w: (0) cons(x1,x2) w: (1)
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