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TRS Standard pair #516963813
details
property
value
status
complete
benchmark
jwtpa1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n008.star.cs.uiowa.edu
space
Waldmann_06
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.144953966141 seconds
cpu usage
0.112297678
max memory
1.5577088E7
stage attributes
key
value
output-size
1656
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: f(f(a(),x),y) -> f(y,f(x,f(a(),f(h(a()),a())))) Number of strict rules: 1 Direct poly ... failed. Freezing f 1: f❆2_a(x,y) -> f(y,f(x,f❆1_a(f❆1_h(a(),a())))) 2: f(h(_1),_2) ->= f❆1_h(_1,_2) 3: f(a(),_1) ->= f❆1_a(_1) 4: f(f❆1_a(_1),_2) ->= f❆2_a(_1,_2) Number of strict rules: 1 Direct poly ... removes: 2 a() w: (0) h(x1) w: (1 + x1) f❆2_a(x1,x2) w: (x2 + x1) f(x1,x2) w: (x2 + x1) f❆1_h(x1,x2) w: (x2 + x1) f❆1_a(x1) w: (x1) Number of strict rules: 1 Direct poly ... failed. Dependency Pairs: #1: #f❆2_a(x,y) -> #f(y,f(x,f❆1_a(f❆1_h(a(),a())))) #2: #f❆2_a(x,y) -> #f(x,f❆1_a(f❆1_h(a(),a()))) #3: #f(f❆1_a(_1),_2) ->? #f❆2_a(_1,_2) Number of SCCs: 1, DPs: 3 SCC { #1..3 } Sum... Max... QLPOpS... NegMaxSum... succeeded. a() w: (21243) h(x1) w: (0) f❆2_a(x1,x2) w: (max{0, 2 + x2 + x1}) #f❆2_a(x1,x2) w: (max{0, 11298 + x2 + x1}) f(x1,x2) w: (max{0, -1 + x2 + x1}) f❆1_h(x1,x2) w: (max{0, -42487 + x2 + x1}) #f(x1,x2) w: (max{0, 11294 + x2 + x1}) f❆1_a(x1) w: (max{0, 4 + x1}) USABLE RULES: { 1 3 4 } Removed DPs: #1 Number of SCCs: 1, DPs: 2 SCC { #2 #3 } Sum... succeeded. a() w: (1) h(x1) w: (0) f❆2_a(x1,x2) w: (x2 + x1) #f❆2_a(x1,x2) w: (1 + x1) f(x1,x2) w: (1) f❆1_h(x1,x2) w: (10450 + x1) #f(x1,x2) w: (x1) f❆1_a(x1) w: (2 + x1) USABLE RULES: { } Removed DPs: #2 #3 Number of SCCs: 0, DPs: 0
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