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TRS Stand 20472 pair #381711485
details
property
value
status
complete
benchmark
TypeEx1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n021.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.0810589790344 seconds
cpu usage
0.099053028
max memory
1.4053376E7
stage attributes
key
value
output-size
1554
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: ap(ap(ff(),x),x) -> ap(ap(x,ap(ff(),x)),ap(ap(cons(),x),nil())) Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying ap 1: ap^2_ff(x,x) -> ap(ap(x,ap^1_ff(x)),ap^2_cons(x,nil())) 2: ap(cons(),_1) ->= ap^1_cons(_1) 3: ap(ap^1_cons(_1),_2) ->= ap^2_cons(_1,_2) 4: ap(ff(),_1) ->= ap^1_ff(_1) 5: ap(ap^1_ff(_1),_2) ->= ap^2_ff(_1,_2) Number of strict rules: 1 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #ap(ap^1_ff(_1),_2) ->? #ap^2_ff(_1,_2) #2: #ap^2_ff(x,x) -> #ap(ap(x,ap^1_ff(x)),ap^2_cons(x,nil())) #3: #ap^2_ff(x,x) -> #ap(x,ap^1_ff(x)) Number of SCCs: 1, DPs: 3 SCC { #1..3 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. ap^2_cons w: 0 ap w: max(x1 - 2, x2 - 2, 0) ff w: 4 #ap^2_ff w: max(x2 + 1, 0) nil w: 0 ap^1_ff w: 2 #ap w: max(x1 + x2 - 1, 0) cons w: 5 ap^2_ff w: max(x2 - 2, 0) ap^1_cons w: 3 USABLE RULES: { 1..5 } Removed DPs: #2 Number of SCCs: 1, DPs: 2 SCC { #1 #3 } POLO(Sum)... succeeded. ap^2_cons w: 0 ap w: x2 + 2 ff w: 1 #ap^2_ff w: x1 + 1 nil w: 1 ap^1_ff w: x1 + 2 #ap w: x1 cons w: 1 ap^2_ff w: 2 ap^1_cons w: 1 USABLE RULES: { 1..5 } Removed DPs: #1 #3 Number of SCCs: 0, DPs: 0
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