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TRS Stand 20472 pair #381709819
details
property
value
status
complete
benchmark
otto06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n013.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.315943956375 seconds
cpu usage
0.385264405
max memory
2.5628672E7
stage attributes
key
value
output-size
3851
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: app(x,y) -> helpa(0(),plus(length(x),length(y)),x,y) 2: plus(x,0()) -> x 3: plus(x,s(y)) -> s(plus(x,y)) 4: length(nil()) -> 0() 5: length(cons(x,y)) -> s(length(y)) 6: helpa(c,l,ys,zs) -> if(ge(c,l),c,l,ys,zs) 7: ge(x,0()) -> true() 8: ge(0(),s(x)) -> false() 9: ge(s(x),s(y)) -> ge(x,y) 10: if(true(),c,l,ys,zs) -> nil() 11: if(false(),c,l,ys,zs) -> helpb(c,l,greater(ys,zs),smaller(ys,zs)) 12: greater(ys,zs) -> helpc(ge(length(ys),length(zs)),ys,zs) 13: smaller(ys,zs) -> helpc(ge(length(ys),length(zs)),zs,ys) 14: helpc(true(),ys,zs) -> ys 15: helpc(false(),ys,zs) -> zs 16: helpb(c,l,cons(y,ys),zs) -> cons(y,helpa(s(c),l,ys,zs)) Number of strict rules: 16 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #helpa(c,l,ys,zs) -> #if(ge(c,l),c,l,ys,zs) #2: #helpa(c,l,ys,zs) -> #ge(c,l) #3: #smaller(ys,zs) -> #helpc(ge(length(ys),length(zs)),zs,ys) #4: #smaller(ys,zs) -> #ge(length(ys),length(zs)) #5: #smaller(ys,zs) -> #length(ys) #6: #smaller(ys,zs) -> #length(zs) #7: #ge(s(x),s(y)) -> #ge(x,y) #8: #if(false(),c,l,ys,zs) -> #helpb(c,l,greater(ys,zs),smaller(ys,zs)) #9: #if(false(),c,l,ys,zs) -> #greater(ys,zs) #10: #if(false(),c,l,ys,zs) -> #smaller(ys,zs) #11: #greater(ys,zs) -> #helpc(ge(length(ys),length(zs)),ys,zs) #12: #greater(ys,zs) -> #ge(length(ys),length(zs)) #13: #greater(ys,zs) -> #length(ys) #14: #greater(ys,zs) -> #length(zs) #15: #length(cons(x,y)) -> #length(y) #16: #helpb(c,l,cons(y,ys),zs) -> #helpa(s(c),l,ys,zs) #17: #plus(x,s(y)) -> #plus(x,y) #18: #app(x,y) -> #helpa(0(),plus(length(x),length(y)),x,y) #19: #app(x,y) -> #plus(length(x),length(y)) #20: #app(x,y) -> #length(x) #21: #app(x,y) -> #length(y) Number of SCCs: 4, DPs: 6 SCC { #15 } POLO(Sum)... succeeded. smaller w: 0 s w: 0 greater w: 0 #plus w: 0 #helpa w: 0 false w: 0 #ge w: 0 helpb w: 0 #smaller w: 0 true w: 0 0 w: 0 if w: 0 ge w: 0 #helpc w: 0 nil w: 0 helpc w: 0 #app w: 0 plus w: 0 #greater w: 0 cons w: x2 + 1 #if w: 0 helpa w: 0 length w: 0 #length w: x1 #helpb w: 0 app w: 0 USABLE RULES: { } Removed DPs: #15 Number of SCCs: 3, DPs: 5 SCC { #17 } POLO(Sum)... succeeded. smaller w: 0 s w: x1 + 1 greater w: 0 #plus w: x2 #helpa w: 0 false w: 0 #ge w: 0 helpb w: 0 #smaller w: 0 true w: 0 0 w: 0 if w: 0 ge w: 0 #helpc w: 0 nil w: 0 helpc w: 0 #app w: 0
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