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TRS Standard pair #516964588
details
property
value
status
complete
benchmark
1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.161186933517 seconds
cpu usage
0.136752015
max memory
1.5577088E7
stage attributes
key
value
output-size
1397
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: f(a(),f(a(),x)) -> f(a(),f(x,f(f(a(),a()),a()))) Number of strict rules: 1 Direct poly ... failed. Freezing f 1: f❆1_a(f❆1_a(x)) -> f❆1_a(f(x,f(f❆1_a(a()),a()))) 2: f(a(),_1) ->= f❆1_a(_1) Number of strict rules: 1 Direct poly ... failed. Dependency Pairs: #1: #f(a(),_1) ->? #f❆1_a(_1) #2: #f❆1_a(f❆1_a(x)) -> #f❆1_a(f(x,f(f❆1_a(a()),a()))) #3: #f❆1_a(f❆1_a(x)) -> #f(x,f(f❆1_a(a()),a())) #4: #f❆1_a(f❆1_a(x)) -> #f(f❆1_a(a()),a()) #5: #f❆1_a(f❆1_a(x)) -> #f❆1_a(a()) Number of SCCs: 1, DPs: 3 SCC { #1..3 } Sum... Max... QLPOpS... NegMaxSum... succeeded. a() w: (61230) f(x1,x2) w: (max{0, -91845 + x2 + x1}) #f❆1_a(x1) w: (max{0, 61232 + x1}) #f(x1,x2) w: (max{0, 30616 + x2 + x1}) f❆1_a(x1) w: (max{0, -30615 + x1}) USABLE RULES: { 1 2 } Removed DPs: #1 #3 Number of SCCs: 1, DPs: 1 SCC { #2 } Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded. a() w: (15923, 1) f(x1,x2) w: (15922, 1 + x2_1 + x1_1) #f❆1_a(x1) w: (x1_2, x1_1) #f(x1,x2) w: (0, 0) f❆1_a(x1) w: (15922, 15924 + x1_1) USABLE RULES: { 1 2 } Removed DPs: #2 Number of SCCs: 0, DPs: 0
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