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TRS Standard pair #516964593
details
property
value
status
complete
benchmark
minsort.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n086.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.489990949631 seconds
cpu usage
0.553768434
max memory
3.0461952E7
stage attributes
key
value
output-size
3067
starexec-result
MAYBE
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: le(0(),y) -> true() 2: le(s(x),0()) -> false() 3: le(s(x),s(y)) -> le(x,y) 4: eq(0(),0()) -> true() 5: eq(0(),s(y)) -> false() 6: eq(s(x),0()) -> false() 7: eq(s(x),s(y)) -> eq(x,y) 8: if(true(),x,y) -> x 9: if(false(),x,y) -> y 10: minsort(nil()) -> nil() 11: minsort(cons(x,y)) -> cons(min(x,y),minsort(del(min(x,y),cons(x,y)))) 12: min(x,nil()) -> x 13: min(x,cons(y,z)) -> if(le(x,y),min(x,z),min(y,z)) 14: del(x,nil()) -> nil() 15: del(x,cons(y,z)) -> if(eq(x,y),z,cons(y,del(x,z))) Number of strict rules: 15 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #min(x,cons(y,z)) -> #if(le(x,y),min(x,z),min(y,z)) #2: #min(x,cons(y,z)) -> #le(x,y) #3: #min(x,cons(y,z)) -> #min(x,z) #4: #min(x,cons(y,z)) -> #min(y,z) #5: #minsort(cons(x,y)) -> #min(x,y) #6: #minsort(cons(x,y)) -> #minsort(del(min(x,y),cons(x,y))) #7: #minsort(cons(x,y)) -> #del(min(x,y),cons(x,y)) #8: #minsort(cons(x,y)) -> #min(x,y) #9: #eq(s(x),s(y)) -> #eq(x,y) #10: #le(s(x),s(y)) -> #le(x,y) #11: #del(x,cons(y,z)) -> #if(eq(x,y),z,cons(y,del(x,z))) #12: #del(x,cons(y,z)) -> #eq(x,y) #13: #del(x,cons(y,z)) -> #del(x,z) Number of SCCs: 5, DPs: 6 SCC { #13 } Sum... succeeded. le(x1,x2) w: (0) #del(x1,x2) w: (x2) s(x1) w: (0) #le(x1,x2) w: (0) eq(x1,x2) w: (0) false() w: (0) #min(x1,x2) w: (0) true() w: (0) #eq(x1,x2) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) del(x1,x2) w: (0) nil() w: (0) min(x1,x2) w: (0) cons(x1,x2) w: (1 + x2) #if(x1,x2,x3) w: (0) #minsort(x1) w: (0) minsort(x1) w: (0) USABLE RULES: { } Removed DPs: #13 Number of SCCs: 4, DPs: 5 SCC { #9 } Sum... succeeded. le(x1,x2) w: (0) #del(x1,x2) w: (0) s(x1) w: (1 + x1) #le(x1,x2) w: (0) eq(x1,x2) w: (0) false() w: (0) #min(x1,x2) w: (0) true() w: (0) #eq(x1,x2) w: (x2) 0() w: (0) if(x1,x2,x3) w: (0) del(x1,x2) w: (0) nil() w: (0) min(x1,x2) w: (0) cons(x1,x2) w: (1) #if(x1,x2,x3) w: (0) #minsort(x1) w: (0) minsort(x1) w: (0) USABLE RULES: { } Removed DPs: #9 Number of SCCs: 3, DPs: 4 SCC { #10 } Sum... succeeded. le(x1,x2) w: (0) #del(x1,x2) w: (0) s(x1) w: (1 + x1) #le(x1,x2) w: (x2) eq(x1,x2) w: (0) false() w: (0) #min(x1,x2) w: (0) true() w: (0) #eq(x1,x2) w: (0) 0() w: (0) if(x1,x2,x3) w: (0)
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