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TRS Equat 89423 pair #381732816
details
property
value
status
complete
benchmark
IJCAR_AC1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n004.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.0736119747162 seconds
cpu usage
0.09127924
max memory
1.2890112E7
stage attributes
key
value
output-size
4135
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: AC symbols: plus times 1: plus(x,0()) -> x 2: plus(0(),y) -> y 3: plus(s(x),y) -> s(plus(x,y)) 4: times(0(),y) -> 0() 5: times(s(0()),y) -> y 6: times(s(x),y) -> plus(y,times(x,y)) 7: div(0(),y) -> 0() 8: div(x,y) -> quot(x,y,y) 9: quot(0(),s(y),z) -> 0() 10: quot(s(x),s(y),z) -> quot(x,y,z) 11: quot(x,0(),s(z)) -> s(div(x,s(z))) 12: div(div(x,y),z) -> div(x,times(y,z)) Number of strict rules: 12 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #times(s(x),y) -> #plus(y,times(x,y)) #2: #times(s(x),y) -> #times(x,y) #3: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #4: #plus(x,plus(y,z)) ->= #plus(x,y) #5: #quot(x,0(),s(z)) -> #div(x,s(z)) #6: #div(div(x,y),z) -> #div(x,times(y,z)) #7: #div(div(x,y),z) -> #times(y,z) #8: #times(x,times(y,z)) ->= #times(times(x,y),z) #9: #times(x,times(y,z)) ->= #times(x,y) #10: #quot(s(x),s(y),z) -> #quot(x,y,z) #11: #plus(s(x),y) -> #plus(x,y) #12: #div(x,y) -> #quot(x,y,y) Number of SCCs: 3, DPs: 10 SCC { #2 #8 #9 } POLO(Sum)... POLO(max)... QLPOS... succeeded. #div s: [] p: 0 s s: [1] p: 0 #plus s: {} p: 1 div s: [] p: 0 #times s: {1,2} p: 2 0 s: [] p: 0 quot s: [] p: 0 times s: {1,2} p: 2 plus s: {1,2} p: 1 #quot s: [] p: 0 USABLE RULES: { 1..6 13 14 } Removed DPs: #2 #9 Number of SCCs: 3, DPs: 8 SCC { #8 } only weak rules. Number of SCCs: 2, DPs: 7 SCC { #3 #4 #11 } POLO(Sum)... succeeded. #div w: 0 s w: x1 + 1 #plus w: x1 + x2 div w: 0 #times w: 0 0 w: 2 quot w: 0 times w: 1 plus w: x1 + x2 + 1 #quot w: 0 USABLE RULES: { 1..3 13 } Removed DPs: #4 #11 Number of SCCs: 2, DPs: 5 SCC { #3 } only weak rules. Number of SCCs: 1, DPs: 4 SCC { #5 #6 #10 #12 } POLO(Sum)... succeeded. #div w: x1 s w: x1 + 1 #plus w: x1 + x2 div w: x1 + x2 + 1 #times w: 0 0 w: 2 quot w: 0 times w: 1 plus w: x1 + x2 + 1 #quot w: x1 USABLE RULES: { 1..3 13 } Removed DPs: #6 #10 Number of SCCs: 1, DPs: 2 SCC { #5 #12 } POLO(Sum)... POLO(max)... succeeded. #div w: max(x2 + 2) s w: 1 #plus w: 0 div w: 0 #times w: 0 0 w: 2 quot w: 0 times w: max(x1, x2) plus w: max(x1, x2)
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