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TRS Standard pair #516966128
details
property
value
status
complete
benchmark
tpa09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n114.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
15.7567358017 seconds
cpu usage
19.562934203
max memory
1.87736064E8
stage attributes
key
value
output-size
4550
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: min(0(),y) -> 0() 2: min(x,0()) -> 0() 3: min(s(x),s(y)) -> s(min(x,y)) 4: max(0(),y) -> y 5: max(x,0()) -> x 6: max(s(x),s(y)) -> s(max(x,y)) 7: +(0(),y) -> y 8: +(s(x),y) -> s(+(x,y)) 9: -(x,0()) -> x 10: -(s(x),s(y)) -> -(x,y) 11: *(x,0()) -> 0() 12: *(x,s(y)) -> +(x,*(x,y)) 13: f(s(x)) -> f(-(max(*(s(x),s(x)),+(s(x),s(s(s(0()))))),max(s(*(s(x),s(x))),+(s(x),s(s(s(s(0())))))))) Number of strict rules: 13 Direct poly ... failed. Freezing + 1: min(0(),y) -> 0() 2: min(x,0()) -> 0() 3: min(s(x),s(y)) -> s(min(x,y)) 4: max(0(),y) -> y 5: max(x,0()) -> x 6: max(s(x),s(y)) -> s(max(x,y)) 7: +❆1_0(y) -> y 8: +❆1_s(x,y) -> s(+(x,y)) 9: -(x,0()) -> x 10: -(s(x),s(y)) -> -(x,y) 11: *(x,0()) -> 0() 12: *(x,s(y)) -> +(x,*(x,y)) 13: f(s(x)) -> f(-(max(*(s(x),s(x)),+❆1_s(x,s(s(s(0()))))),max(s(*(s(x),s(x))),+❆1_s(x,s(s(s(s(0())))))))) 14: +(0(),_1) ->= +❆1_0(_1) 15: +(s(_1),_2) ->= +❆1_s(_1,_2) Number of strict rules: 13 Direct poly ... failed. Dependency Pairs: #1: #max(s(x),s(y)) -> #max(x,y) #2: #f(s(x)) -> #f(-(max(*(s(x),s(x)),+❆1_s(x,s(s(s(0()))))),max(s(*(s(x),s(x))),+❆1_s(x,s(s(s(s(0())))))))) #3: #f(s(x)) -> #-(max(*(s(x),s(x)),+❆1_s(x,s(s(s(0()))))),max(s(*(s(x),s(x))),+❆1_s(x,s(s(s(s(0()))))))) #4: #f(s(x)) -> #max(*(s(x),s(x)),+❆1_s(x,s(s(s(0()))))) #5: #f(s(x)) -> #*(s(x),s(x)) #6: #f(s(x)) -> #+❆1_s(x,s(s(s(0())))) #7: #f(s(x)) -> #max(s(*(s(x),s(x))),+❆1_s(x,s(s(s(s(0())))))) #8: #f(s(x)) -> #*(s(x),s(x)) #9: #f(s(x)) -> #+❆1_s(x,s(s(s(s(0()))))) #10: #*(x,s(y)) -> #+(x,*(x,y)) #11: #*(x,s(y)) -> #*(x,y) #12: #+(0(),_1) ->? #+❆1_0(_1) #13: #-(s(x),s(y)) -> #-(x,y) #14: #min(s(x),s(y)) -> #min(x,y) #15: #+❆1_s(x,y) -> #+(x,y) #16: #+(s(_1),_2) ->? #+❆1_s(_1,_2) Number of SCCs: 6, DPs: 7 SCC { #11 } Sum... succeeded. #+❆1_0(x1) w: (0) +❆1_0(x1) w: (0) s(x1) w: (1 + x1) +❆1_s(x1,x2) w: (0) #min(x1,x2) w: (0) #*(x1,x2) w: (x2) f(x1) w: (0) #+❆1_s(x1,x2) w: (0) 0() w: (0) max(x1,x2) w: (0) #max(x1,x2) w: (0) -(x1,x2) w: (0) #f(x1) w: (0) min(x1,x2) w: (0) #-(x1,x2) w: (0) +(x1,x2) w: (0) #+(x1,x2) w: (0) *(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #11 Number of SCCs: 5, DPs: 6 SCC { #14 } Sum... succeeded. #+❆1_0(x1) w: (0) +❆1_0(x1) w: (0) s(x1) w: (1 + x1) +❆1_s(x1,x2) w: (0) #min(x1,x2) w: (x2) #*(x1,x2) w: (0) f(x1) w: (0) #+❆1_s(x1,x2) w: (0) 0() w: (0) max(x1,x2) w: (0) #max(x1,x2) w: (0) -(x1,x2) w: (0) #f(x1) w: (0) min(x1,x2) w: (0) #-(x1,x2) w: (0) +(x1,x2) w: (0)
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