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TRS Stand 20472 pair #381709841
details
property
value
status
complete
benchmark
division.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n093.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.0564968585968 seconds
cpu usage
0.062798284
max memory
8269824.0
stage attributes
key
value
output-size
2732
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: 1: le(0(),Y) -> true() 2: le(s(X),0()) -> false() 3: le(s(X),s(Y)) -> le(X,Y) 4: minus(0(),Y) -> 0() 5: minus(s(X),Y) -> ifMinus(le(s(X),Y),s(X),Y) 6: ifMinus(true(),s(X),Y) -> 0() 7: ifMinus(false(),s(X),Y) -> s(minus(X,Y)) 8: quot(0(),s(Y)) -> 0() 9: quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) Number of strict rules: 9 Direct POLO(bPol) ... failed. Uncurrying le 1: le^1_0(Y) -> true() 2: le^1_s(X,0()) -> false() 3: le^1_s(X,s(Y)) -> le(X,Y) 4: minus(0(),Y) -> 0() 5: minus(s(X),Y) -> ifMinus(le^1_s(X,Y),s(X),Y) 6: ifMinus(true(),s(X),Y) -> 0() 7: ifMinus(false(),s(X),Y) -> s(minus(X,Y)) 8: quot(0(),s(Y)) -> 0() 9: quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) 10: le(0(),_1) ->= le^1_0(_1) 11: le(s(_1),_2) ->= le^1_s(_1,_2) Number of strict rules: 9 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #quot(s(X),s(Y)) -> #quot(minus(X,Y),s(Y)) #2: #quot(s(X),s(Y)) -> #minus(X,Y) #3: #le(s(_1),_2) ->? #le^1_s(_1,_2) #4: #ifMinus(false(),s(X),Y) -> #minus(X,Y) #5: #le(0(),_1) ->? #le^1_0(_1) #6: #minus(s(X),Y) -> #ifMinus(le^1_s(X,Y),s(X),Y) #7: #minus(s(X),Y) -> #le^1_s(X,Y) #8: #le^1_s(X,s(Y)) -> #le(X,Y) Number of SCCs: 3, DPs: 5 SCC { #1 } POLO(Sum)... succeeded. #le^1_s w: 0 le w: x1 + x2 + 4 le^1_s w: x2 + 1 s w: x1 + 2 #le w: 0 #le^1_0 w: 0 minus w: x1 + 1 false w: 3 true w: 1 ifMinus w: x2 + 1 0 w: 1 quot w: 0 #minus w: 0 le^1_0 w: 0 #quot w: x1 #ifMinus w: 0 USABLE RULES: { 4..7 } Removed DPs: #1 Number of SCCs: 2, DPs: 4 SCC { #3 #8 } POLO(Sum)... succeeded. #le^1_s w: x1 + x2 le w: x1 + x2 + 4 le^1_s w: x2 + 1 s w: x1 + 2 #le w: x1 + x2 #le^1_0 w: 0 minus w: x1 + 1 false w: 3 true w: 1 ifMinus w: x2 + 1 0 w: 1 quot w: 0 #minus w: 0 le^1_0 w: 0 #quot w: x1 #ifMinus w: 0 USABLE RULES: { 4..7 } Removed DPs: #3 #8 Number of SCCs: 1, DPs: 2 SCC { #4 #6 } POLO(Sum)... succeeded. #le^1_s w: 0 le w: 1 le^1_s w: 1 s w: x1 + 2 #le w: 0 #le^1_0 w: 0 minus w: x1 + 1 false w: 1 true w: 1 ifMinus w: x2 + 1 0 w: 0 quot w: 0 #minus w: x1 + x2 + 2
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