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TRS Equat 89423 pair #381732610
details
property
value
status
complete
benchmark
AC41.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n069.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.0403940677643 seconds
cpu usage
0.042582798
max memory
6574080.0
stage attributes
key
value
output-size
2742
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: AC symbols: plus 1: minus(x,0()) -> x 2: minus(s(x),s(y)) -> minus(x,y) 3: minus(minus(x,y),z) -> minus(x,plus(y,z)) 4: quot(0(),s(y)) -> 0() 5: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 6: plus(0(),y) -> y 7: plus(s(x),y) -> s(plus(x,y)) Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #minus(s(x),s(y)) -> #minus(x,y) #2: #plus(s(x),y) -> #plus(x,y) #3: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y)) #4: #quot(s(x),s(y)) -> #minus(x,y) #5: #minus(minus(x,y),z) -> #minus(x,plus(y,z)) #6: #minus(minus(x,y),z) -> #plus(y,z) #7: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #8: #plus(x,plus(y,z)) ->= #plus(x,y) Number of SCCs: 3, DPs: 6 SCC { #3 } POLO(Sum)... succeeded. s w: x1 + 2 minus w: x1 + 1 #plus w: 0 0 w: 1 quot w: 0 #minus w: 0 plus w: x1 + x2 + 1 #quot w: x1 USABLE RULES: { 1..3 6..8 } Removed DPs: #3 Number of SCCs: 2, DPs: 5 SCC { #1 #5 } POLO(Sum)... succeeded. s w: x1 + 2 minus w: x1 + x2 + 2 #plus w: 0 0 w: 0 quot w: 0 #minus w: x1 + x2 plus w: x1 + x2 + 1 #quot w: x1 USABLE RULES: { 1..3 6..8 } Removed DPs: #1 #5 Number of SCCs: 1, DPs: 3 SCC { #2 #7 #8 } POLO(Sum)... succeeded. s w: x1 + 2 minus w: x1 + x2 + 2 #plus w: x1 + x2 0 w: 0 quot w: 0 #minus w: x2 plus w: x1 + x2 + 1 #quot w: x1 USABLE RULES: { 1..3 6..8 } Removed DPs: #2 #8 Number of SCCs: 1, DPs: 1 SCC { #7 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #9: #plus(plus(0(),y),_1) -> #plus(y,_1) #10: #plus(plus(s(x),y),_1) -> #plus(s(plus(x,y)),_1) #11: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #12: #plus(x,plus(y,z)) ->= #plus(x,y) Number of SCCs: 1, DPs: 4 SCC { #9..12 } POLO(Sum)... succeeded. s w: x1 + 2 minus w: x1 + x2 + 2 #plus w: x1 + x2 0 w: 0 quot w: 0 #minus w: x2 plus w: x1 + x2 + 1 #quot w: x1 USABLE RULES: { 1..3 6..8 } Removed DPs: #9 #12 Number of SCCs: 1, DPs: 2 SCC { #10 #11 } POLO(Sum)... succeeded. s w: 2 minus w: x1 + x2 + 2 #plus w: x1 + x2 0 w: 0 quot w: 0 #minus w: x2 plus w: x1 + x2 + 1 #quot w: 0
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