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TRS Standard pair #516960718
details
property
value
status
complete
benchmark
kabasci05.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n062.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.116643190384 seconds
cpu usage
0.129438486
max memory
1.2783616E7
stage attributes
key
value
output-size
4318
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: min(x,0()) -> 0() 2: min(0(),y) -> 0() 3: min(s(x),s(y)) -> s(min(x,y)) 4: max(x,0()) -> x 5: max(0(),y) -> y 6: max(s(x),s(y)) -> s(max(x,y)) 7: minus(x,0()) -> x 8: minus(s(x),s(y)) -> s(minus(x,y)) 9: gcd(s(x),s(y)) -> gcd(minus(max(x,y),min(x,transform(y))),s(min(x,y))) 10: transform(x) -> s(s(x)) 11: transform(cons(x,y)) -> cons(cons(x,x),x) 12: transform(cons(x,y)) -> y 13: transform(s(x)) -> s(s(transform(x))) 14: cons(x,y) -> y 15: cons(x,cons(y,s(z))) -> cons(y,x) 16: cons(cons(x,z),s(y)) -> transform(x) Number of strict rules: 16 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #max(s(x),s(y)) -> #max(x,y) #2: #transform(s(x)) -> #transform(x) #3: #gcd(s(x),s(y)) -> #gcd(minus(max(x,y),min(x,transform(y))),s(min(x,y))) #4: #gcd(s(x),s(y)) -> #minus(max(x,y),min(x,transform(y))) #5: #gcd(s(x),s(y)) -> #max(x,y) #6: #gcd(s(x),s(y)) -> #min(x,transform(y)) #7: #gcd(s(x),s(y)) -> #transform(y) #8: #gcd(s(x),s(y)) -> #min(x,y) #9: #transform(cons(x,y)) -> #cons(cons(x,x),x) #10: #transform(cons(x,y)) -> #cons(x,x) #11: #cons(cons(x,z),s(y)) -> #transform(x) #12: #min(s(x),s(y)) -> #min(x,y) #13: #minus(s(x),s(y)) -> #minus(x,y) #14: #cons(x,cons(y,s(z))) -> #cons(y,x) Number of SCCs: 5, DPs: 9 SCC { #13 } Sum... succeeded. #cons(x1,x2) w: (0) s(x1) w: (1 + x1) minus(x1,x2) w: (0) gcd(x1,x2) w: (0) #min(x1,x2) w: (0) #transform(x1) w: (0) 0() w: (0) transform(x1) w: (0) max(x1,x2) w: (0) #max(x1,x2) w: (0) #minus(x1,x2) w: (x2 + x1) min(x1,x2) w: (0) cons(x1,x2) w: (0) #gcd(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #13 Number of SCCs: 4, DPs: 8 SCC { #12 } Sum... succeeded. #cons(x1,x2) w: (0) s(x1) w: (1 + x1) minus(x1,x2) w: (0) gcd(x1,x2) w: (0) #min(x1,x2) w: (x2) #transform(x1) w: (0) 0() w: (0) transform(x1) w: (0) max(x1,x2) w: (0) #max(x1,x2) w: (0) #minus(x1,x2) w: (0) min(x1,x2) w: (0) cons(x1,x2) w: (0) #gcd(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #12 Number of SCCs: 3, DPs: 7 SCC { #1 } Sum... succeeded. #cons(x1,x2) w: (0) s(x1) w: (1 + x1) minus(x1,x2) w: (0) gcd(x1,x2) w: (0) #min(x1,x2) w: (0) #transform(x1) w: (0) 0() w: (0) transform(x1) w: (0) max(x1,x2) w: (0) #max(x1,x2) w: (x2) #minus(x1,x2) w: (0) min(x1,x2) w: (0) cons(x1,x2) w: (0) #gcd(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #1 Number of SCCs: 2, DPs: 6
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