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TRS Standard pair #516967778
details
property
value
status
complete
benchmark
list-sum-prod-assoc-append.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.129050016403 seconds
cpu usage
0.062405703
max memory
8269824.0
stage attributes
key
value
output-size
3625
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: +(x,0()) -> x 2: +(0(),x) -> x 3: +(s(x),s(y)) -> s(s(+(x,y))) 4: +(+(x,y),z) -> +(x,+(y,z)) 5: *(x,0()) -> 0() 6: *(0(),x) -> 0() 7: *(s(x),s(y)) -> s(+(*(x,y),+(x,y))) 8: *(*(x,y),z) -> *(x,*(y,z)) 9: app(nil(),l) -> l 10: app(cons(x,l1),l2) -> cons(x,app(l1,l2)) 11: sum(nil()) -> 0() 12: sum(cons(x,l)) -> +(x,sum(l)) 13: sum(app(l1,l2)) -> +(sum(l1),sum(l2)) 14: prod(nil()) -> s(0()) 15: prod(cons(x,l)) -> *(x,prod(l)) 16: prod(app(l1,l2)) -> *(prod(l1),prod(l2)) Number of strict rules: 16 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #sum(app(l1,l2)) -> #+(sum(l1),sum(l2)) #2: #sum(app(l1,l2)) -> #sum(l1) #3: #sum(app(l1,l2)) -> #sum(l2) #4: #sum(cons(x,l)) -> #+(x,sum(l)) #5: #sum(cons(x,l)) -> #sum(l) #6: #*(s(x),s(y)) -> #+(*(x,y),+(x,y)) #7: #*(s(x),s(y)) -> #*(x,y) #8: #*(s(x),s(y)) -> #+(x,y) #9: #app(cons(x,l1),l2) -> #app(l1,l2) #10: #prod(app(l1,l2)) -> #*(prod(l1),prod(l2)) #11: #prod(app(l1,l2)) -> #prod(l1) #12: #prod(app(l1,l2)) -> #prod(l2) #13: #+(s(x),s(y)) -> #+(x,y) #14: #*(*(x,y),z) -> #*(x,*(y,z)) #15: #*(*(x,y),z) -> #*(y,z) #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) Number of SCCs: 5, DPs: 13 SCC { #9 } Sum... succeeded. prod(x1) w: (0) s(x1) w: (0) #prod(x1) w: (0) #*(x1,x2) w: (0) sum(x1) w: (0) 0() w: (0) nil() w: (0) #app(x1,x2) w: (x1) cons(x1,x2) w: (1 + x2) +(x1,x2) w: (0) #sum(x1) w: (0) #+(x1,x2) w: (0) *(x1,x2) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #9 Number of SCCs: 4, DPs: 12 SCC { #11 #12 #17 } Sum... succeeded. prod(x1) w: (0) s(x1) w: (0) #prod(x1) w: (x1) #*(x1,x2) w: (0) sum(x1) w: (0) 0() w: (0) nil() w: (0) #app(x1,x2) w: (0) cons(x1,x2) w: (1 + x2) +(x1,x2) w: (0) #sum(x1) w: (0) #+(x1,x2) w: (0) *(x1,x2) w: (0) app(x1,x2) w: (1 + x2 + x1) USABLE RULES: { } Removed DPs: #11 #12 #17 Number of SCCs: 3, DPs: 9 SCC { #2 #3 #5 } Sum... succeeded. prod(x1) w: (0) s(x1) w: (0) #prod(x1) w: (0) #*(x1,x2) w: (0) sum(x1) w: (0) 0() w: (0) nil() w: (0) #app(x1,x2) w: (0) cons(x1,x2) w: (1 + x2) +(x1,x2) w: (0) #sum(x1) w: (x1) #+(x1,x2) w: (0)
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