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TRS Standard pair #516964543
details
property
value
status
complete
benchmark
beans.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.24192404747 seconds
cpu usage
0.226432591
max memory
1.6912384E7
stage attributes
key
value
output-size
1649
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,f(s(s(y)),f(z,w))) -> f(s(x),f(y,f(s(z),w))) 2: L(f(s(s(y)),f(z,w))) -> L(f(s(0()),f(y,f(s(z),w)))) 3: f(x,f(s(s(y)),nil())) -> f(s(x),f(y,f(s(0()),nil()))) Number of strict rules: 3 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #L(f(s(s(y)),f(z,w))) -> #L(f(s(0()),f(y,f(s(z),w)))) #2: #L(f(s(s(y)),f(z,w))) -> #f(s(0()),f(y,f(s(z),w))) #3: #L(f(s(s(y)),f(z,w))) -> #f(y,f(s(z),w)) #4: #L(f(s(s(y)),f(z,w))) -> #f(s(z),w) #5: #f(x,f(s(s(y)),nil())) -> #f(s(x),f(y,f(s(0()),nil()))) #6: #f(x,f(s(s(y)),nil())) -> #f(y,f(s(0()),nil())) #7: #f(x,f(s(s(y)),nil())) -> #f(s(0()),nil()) #8: #f(x,f(s(s(y)),f(z,w))) -> #f(s(x),f(y,f(s(z),w))) #9: #f(x,f(s(s(y)),f(z,w))) -> #f(y,f(s(z),w)) #10: #f(x,f(s(s(y)),f(z,w))) -> #f(s(z),w) Number of SCCs: 2, DPs: 5 SCC { #1 } Sum... Max... QLPOpS... NegMaxSum... succeeded. s(x1) w: (max{0, 47771 + x1}) #L(x1) w: (max{0, 15925 + x1}) f(x1,x2) w: (max{0, -15924 + x2 + x1}) 0() w: (15923) nil() w: (47770) #f(x1,x2) w: (0) L(x1) w: (0) USABLE RULES: { 1 3 } Removed DPs: #1 Number of SCCs: 1, DPs: 4 SCC { #5 #8..10 } Sum... succeeded. s(x1) w: (1 + x1) #L(x1) w: (2) f(x1,x2) w: (x2 + x1) 0() w: (0) nil() w: (5854) #f(x1,x2) w: (30613 + x2) L(x1) w: (0) USABLE RULES: { 1 3 } Removed DPs: #5 #8..10 Number of SCCs: 0, DPs: 0
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