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TRS Stand 20472 pair #381714476
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
n107.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.261471033096 seconds
cpu usage
0.314247565
max memory
2.2081536E7
stage attributes
key
value
output-size
3625
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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 POLO(bPol) ... failed. Uncurrying 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 POLO(bPol) ... 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 } POLO(Sum)... succeeded. #le^1_s w: 0 le w: 0 le^1_s w: 0 s w: x1 + 1 #le w: 0 #le^1_0 w: 0 #triple w: 0 greater w: 0 false w: 0 triple w: 0 second w: 0 true w: 0 0 w: 0 if w: 0 #double w: x1 double w: 0 first w: 0 #greater w: 0 le^1_0 w: 0 #if w: 0 USABLE RULES: { } Removed DPs: #3 Number of SCCs: 3, DPs: 5 SCC { #7 } POLO(Sum)... succeeded. #le^1_s w: 0 le w: 0 le^1_s w: 0 s w: x1 + 1 #le w: 0 #le^1_0 w: 0 #triple w: 0 greater w: 0 false w: 0 triple w: 0 second w: 0 true w: 0 0 w: 0 if w: 0 #double w: 0 double w: 0 first w: 0
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