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TRS Standard pair #516966558
details
property
value
status
complete
benchmark
2.52.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n085.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.103015899658 seconds
cpu usage
0.094695343
max memory
1.2771328E7
stage attributes
key
value
output-size
2444
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(x,0(),0()) -> s(x) 2: f(0(),y,0()) -> s(y) 3: f(0(),0(),z) -> s(z) 4: f(s(0()),y,z) -> f(0(),s(y),s(z)) 5: f(s(x),s(y),0()) -> f(x,y,s(0())) 6: f(s(x),0(),s(z)) -> f(x,s(0()),z) 7: f(0(),s(0()),s(0())) -> s(s(0())) 8: f(s(x),s(y),s(z)) -> f(x,y,f(s(x),s(y),z)) 9: f(0(),s(s(y)),s(0())) -> f(0(),y,s(0())) 10: f(0(),s(0()),s(s(z))) -> f(0(),s(0()),z) 11: f(0(),s(s(y)),s(s(z))) -> f(0(),y,f(0(),s(s(y)),s(z))) Number of strict rules: 11 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #f(s(x),0(),s(z)) -> #f(x,s(0()),z) #2: #f(0(),s(s(y)),s(0())) -> #f(0(),y,s(0())) #3: #f(0(),s(s(y)),s(s(z))) -> #f(0(),y,f(0(),s(s(y)),s(z))) #4: #f(0(),s(s(y)),s(s(z))) -> #f(0(),s(s(y)),s(z)) #5: #f(0(),s(0()),s(s(z))) -> #f(0(),s(0()),z) #6: #f(s(x),s(y),0()) -> #f(x,y,s(0())) #7: #f(s(x),s(y),s(z)) -> #f(x,y,f(s(x),s(y),z)) #8: #f(s(x),s(y),s(z)) -> #f(s(x),s(y),z) #9: #f(s(0()),y,z) -> #f(0(),s(y),s(z)) Number of SCCs: 4, DPs: 8 SCC { #5 } Sum... succeeded. s(x1) w: (2 + x1) f(x1,x2,x3) w: (0) 0() w: (1) #f(x1,x2,x3) w: (x3 + x1) USABLE RULES: { } Removed DPs: #5 Number of SCCs: 3, DPs: 7 SCC { #2 } Sum... succeeded. s(x1) w: (1 + x1) f(x1,x2,x3) w: (0) 0() w: (1) #f(x1,x2,x3) w: (21238 + x3 + x2 + x1) USABLE RULES: { } Removed DPs: #2 Number of SCCs: 2, DPs: 6 SCC { #3 #4 } Sum... succeeded. s(x1) w: (3 + x1) f(x1,x2,x3) w: (x3 + x1) 0() w: (1) #f(x1,x2,x3) w: (x2 + x1) USABLE RULES: { } Removed DPs: #3 Number of SCCs: 2, DPs: 5 SCC { #4 } Sum... Max... succeeded. s(x1) w: (2 + x1) f(x1,x2,x3) w: (0) 0() w: (0) #f(x1,x2,x3) w: (max{x3, 0, 3 + x1}) USABLE RULES: { } Removed DPs: #4 Number of SCCs: 1, DPs: 4 SCC { #1 #6..8 } Sum... succeeded. s(x1) w: (2242 + x1) f(x1,x2,x3) w: (2241) 0() w: (1) #f(x1,x2,x3) w: (x1) USABLE RULES: { } Removed DPs: #1 #6 #7 Number of SCCs: 1, DPs: 1 SCC { #8 } Sum... Max... succeeded. s(x1) w: (1 + x1) f(x1,x2,x3) w: (0) 0() w: (0) #f(x1,x2,x3) w: (max{1 + x3, 0}) USABLE RULES: { } Removed DPs: #8 Number of SCCs: 0, DPs: 0
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