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TRS Standard pair #516960993
details
property
value
status
complete
benchmark
otto13.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
2.71736192703 seconds
cpu usage
2.782794432
max memory
4.0009728E7
stage attributes
key
value
output-size
3925
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,z) -> greater(y,z) 2: le(s(x),0(),z) -> false() 3: le(s(x),s(y),0()) -> false() 4: le(s(x),s(y),s(z)) -> le(x,y,z) 5: greater(x,0()) -> first() 6: greater(0(),s(y)) -> second() 7: greater(s(x),s(y)) -> greater(x,y) 8: double(0()) -> 0() 9: double(s(x)) -> s(s(double(x))) 10: triple(x) -> if(le(x,x,double(x)),x,0(),0()) 11: if(false(),x,y,z) -> true() 12: if(first(),x,y,z) -> if(le(s(x),y,s(z)),s(x),y,s(z)) 13: if(second(),x,y,z) -> if(le(s(x),s(y),z),s(x),s(y),z) Number of strict rules: 13 Direct poly ... failed. Freezing le 1: le❆1_0(y,z) -> greater(y,z) 2: le❆1_s(x,0(),z) -> false() 3: le❆1_s(x,s(y),0()) -> false() 4: le❆1_s(x,s(y),s(z)) -> le(x,y,z) 5: greater(x,0()) -> first() 6: greater(0(),s(y)) -> second() 7: greater(s(x),s(y)) -> greater(x,y) 8: double(0()) -> 0() 9: double(s(x)) -> s(s(double(x))) 10: triple(x) -> if(le(x,x,double(x)),x,0(),0()) 11: if(false(),x,y,z) -> true() 12: if(first(),x,y,z) -> if(le❆1_s(x,y,s(z)),s(x),y,s(z)) 13: if(second(),x,y,z) -> if(le❆1_s(x,s(y),z),s(x),s(y),z) 14: le(0(),_2,_3) ->= le❆1_0(_2,_3) 15: le(s(_1),_3,_4) ->= le❆1_s(_1,_3,_4) Number of strict rules: 13 Direct poly ... failed. Dependency Pairs: #1: #if(second(),x,y,z) -> #if(le❆1_s(x,s(y),z),s(x),s(y),z) #2: #if(second(),x,y,z) -> #le❆1_s(x,s(y),z) #3: #double(s(x)) -> #double(x) #4: #if(first(),x,y,z) -> #if(le❆1_s(x,y,s(z)),s(x),y,s(z)) #5: #if(first(),x,y,z) -> #le❆1_s(x,y,s(z)) #6: #le(0(),_2,_3) ->? #le❆1_0(_2,_3) #7: #greater(s(x),s(y)) -> #greater(x,y) #8: #triple(x) -> #if(le(x,x,double(x)),x,0(),0()) #9: #triple(x) -> #le(x,x,double(x)) #10: #triple(x) -> #double(x) #11: #le❆1_0(y,z) -> #greater(y,z) #12: #le(s(_1),_3,_4) ->? #le❆1_s(_1,_3,_4) #13: #le❆1_s(x,s(y),s(z)) -> #le(x,y,z) Number of SCCs: 4, DPs: 6 SCC { #3 } Sum... succeeded. le(x1,x2,x3) w: (0) s(x1) w: (1 + x1) #le(x1,x2,x3) w: (0) #triple(x1) w: (0) greater(x1,x2) w: (0) false() w: (0) triple(x1) w: (0) second() w: (0) true() w: (0) #le❆1_0(x1,x2) w: (0) le❆1_s(x1,x2,x3) w: (0) 0() w: (0) if(x1,x2,x3,x4) w: (0) #double(x1) w: (x1) double(x1) w: (0) #le❆1_s(x1,x2,x3) w: (0) first() w: (0) #greater(x1,x2) w: (0) #if(x1,x2,x3,x4) w: (0) le❆1_0(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #3 Number of SCCs: 3, DPs: 5 SCC { #7 } Sum... succeeded. le(x1,x2,x3) w: (0) s(x1) w: (1 + x1) #le(x1,x2,x3) w: (0) #triple(x1) w: (0) greater(x1,x2) w: (0) false() w: (0) triple(x1) w: (0) second() w: (0) true() w: (0) #le❆1_0(x1,x2) w: (0) le❆1_s(x1,x2,x3) w: (0) 0() w: (0) if(x1,x2,x3,x4) w: (0) #double(x1) w: (0) double(x1) w: (0) #le❆1_s(x1,x2,x3) w: (0) first() w: (0)
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