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TRS Standard pair #516960898
details
property
value
status
complete
benchmark
thiemann41.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.41502904892 seconds
cpu usage
0.442971282
max memory
2.2962176E7
stage attributes
key
value
output-size
3084
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: times(x,y) -> sum(generate(x,y)) 2: generate(x,y) -> gen(x,y,0()) 3: gen(x,y,z) -> if(ge(z,x),x,y,z) 4: if(true(),x,y,z) -> nil() 5: if(false(),x,y,z) -> cons(y,gen(x,y,s(z))) 6: sum(nil()) -> 0() 7: sum(cons(0(),xs)) -> sum(xs) 8: sum(cons(s(x),xs)) -> s(sum(cons(x,xs))) 9: ge(x,0()) -> true() 10: ge(0(),s(y)) -> false() 11: ge(s(x),s(y)) -> ge(x,y) Number of strict rules: 11 Direct poly ... failed. Freezing sum 1: times(x,y) -> sum(generate(x,y)) 2: generate(x,y) -> gen(x,y,0()) 3: gen(x,y,z) -> if(ge(z,x),x,y,z) 4: if(true(),x,y,z) -> nil() 5: if(false(),x,y,z) -> cons(y,gen(x,y,s(z))) 6: sum❆1_nil() -> 0() 7: sum❆1_cons(0(),xs) -> sum(xs) 8: sum❆1_cons(s(x),xs) -> s(sum❆1_cons(x,xs)) 9: ge(x,0()) -> true() 10: ge(0(),s(y)) -> false() 11: ge(s(x),s(y)) -> ge(x,y) 12: sum(cons(_1,_2)) ->= sum❆1_cons(_1,_2) 13: sum(nil()) ->= sum❆1_nil() Number of strict rules: 11 Direct poly ... failed. Dependency Pairs: #1: #generate(x,y) -> #gen(x,y,0()) #2: #sum(nil()) ->? #sum❆1_nil() #3: #ge(s(x),s(y)) -> #ge(x,y) #4: #sum(cons(_1,_2)) ->? #sum❆1_cons(_1,_2) #5: #sum❆1_cons(0(),xs) -> #sum(xs) #6: #if(false(),x,y,z) -> #gen(x,y,s(z)) #7: #gen(x,y,z) -> #if(ge(z,x),x,y,z) #8: #gen(x,y,z) -> #ge(z,x) #9: #times(x,y) -> #sum(generate(x,y)) #10: #times(x,y) -> #generate(x,y) #11: #sum❆1_cons(s(x),xs) -> #sum❆1_cons(x,xs) Number of SCCs: 3, DPs: 6 SCC { #3 } Sum... succeeded. s(x1) w: (1 + x1) #generate(x1,x2) w: (0) sum❆1_cons(x1,x2) w: (0) false() w: (0) #ge(x1,x2) w: (x2 + x1) #sum❆1_cons(x1,x2) w: (0) true() w: (0) sum(x1) w: (0) #times(x1,x2) w: (0) 0() w: (0) if(x1,x2,x3,x4) w: (0) ge(x1,x2) w: (0) times(x1,x2) w: (0) nil() w: (0) #gen(x1,x2,x3) w: (0) gen(x1,x2,x3) w: (0) generate(x1,x2) w: (0) cons(x1,x2) w: (0) #if(x1,x2,x3,x4) w: (0) #sum(x1) w: (0) sum❆1_nil() w: (0) #sum❆1_nil() w: (0) USABLE RULES: { } Removed DPs: #3 Number of SCCs: 2, DPs: 5 SCC { #4 #5 #11 } Sum... succeeded. s(x1) w: (1 + x1) #generate(x1,x2) w: (0) sum❆1_cons(x1,x2) w: (0) false() w: (0) #ge(x1,x2) w: (0) #sum❆1_cons(x1,x2) w: (21240 + x2 + x1) true() w: (0) sum(x1) w: (0) #times(x1,x2) w: (0) 0() w: (1) if(x1,x2,x3,x4) w: (0) ge(x1,x2) w: (0) times(x1,x2) w: (0) nil() w: (0) #gen(x1,x2,x3) w: (0) gen(x1,x2,x3) w: (0) generate(x1,x2) w: (0) cons(x1,x2) w: (1 + x2 + x1) #if(x1,x2,x3,x4) w: (0) #sum(x1) w: (21240 + x1) sum❆1_nil() w: (0)
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