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TRS Stand 20472 pair #381712895
details
property
value
status
complete
benchmark
rta3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n098.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.0542721748352 seconds
cpu usage
0.064123666
max memory
1.0072064E7
stage attributes
key
value
output-size
1900
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: ack(0(),y) -> s(y) 2: ack(s(x),0()) -> ack(x,s(0())) 3: ack(s(x),s(y)) -> ack(x,ack(s(x),y)) 4: f(s(x),y) -> f(x,s(x)) 5: f(x,s(y)) -> f(y,x) 6: f(x,y) -> ack(x,y) 7: ack(s(x),y) -> f(x,x) Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying ack 1: ack^1_0(y) -> s(y) 2: ack^1_s(x,0()) -> ack(x,s(0())) 3: ack^1_s(x,s(y)) -> ack(x,ack^1_s(x,y)) 4: f(s(x),y) -> f(x,s(x)) 5: f(x,s(y)) -> f(y,x) 6: f(x,y) -> ack(x,y) 7: ack^1_s(x,y) -> f(x,x) 8: ack(0(),_1) ->= ack^1_0(_1) 9: ack(s(_1),_2) ->= ack^1_s(_1,_2) Number of strict rules: 7 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #ack^1_s(x,0()) -> #ack(x,s(0())) #2: #f(x,y) -> #ack(x,y) #3: #ack(s(_1),_2) ->? #ack^1_s(_1,_2) #4: #ack^1_s(x,y) -> #f(x,x) #5: #f(x,s(y)) -> #f(y,x) #6: #ack^1_s(x,s(y)) -> #ack(x,ack^1_s(x,y)) #7: #ack^1_s(x,s(y)) -> #ack^1_s(x,y) #8: #ack(0(),_1) ->? #ack^1_0(_1) #9: #f(s(x),y) -> #f(x,s(x)) Number of SCCs: 1, DPs: 8 SCC { #1..7 #9 } POLO(Sum)... POLO(max)... succeeded. s w: x1 + 4 #ack^1_s w: max(x1 + 4) #ack^1_0 w: 0 ack w: max(x1 + 6, x2 + 6) f w: 0 0 w: 1 #f w: max(x1 + 3, x2 + 2) ack^1_0 w: 3 #ack w: max(x1 + 1) ack^1_s w: max(x2 + 1) USABLE RULES: { } Removed DPs: #1..6 #9 Number of SCCs: 1, DPs: 1 SCC { #7 } POLO(Sum)... succeeded. s w: x1 + 4 #ack^1_s w: x2 + 2 #ack^1_0 w: 0 ack w: x1 + 1 f w: x2 0 w: 1 #f w: 1 ack^1_0 w: 3 #ack w: 0 ack^1_s w: x1 + 6 USABLE RULES: { } Removed DPs: #7 Number of SCCs: 0, DPs: 0
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