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TRS Standard pair #516964638
details
property
value
status
complete
benchmark
quotminus.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.100959062576 seconds
cpu usage
0.050049206
max memory
9818112.0
stage attributes
key
value
output-size
1785
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: plus(0(),Y) -> Y 2: plus(s(X),Y) -> s(plus(X,Y)) 3: min(X,0()) -> X 4: min(s(X),s(Y)) -> min(X,Y) 5: min(min(X,Y),Z()) -> min(X,plus(Y,Z())) 6: quot(0(),s(Y)) -> 0() 7: quot(s(X),s(Y)) -> s(quot(min(X,Y),s(Y))) Number of strict rules: 7 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #plus(s(X),Y) -> #plus(X,Y) #2: #quot(s(X),s(Y)) -> #quot(min(X,Y),s(Y)) #3: #quot(s(X),s(Y)) -> #min(X,Y) #4: #min(min(X,Y),Z()) -> #min(X,plus(Y,Z())) #5: #min(min(X,Y),Z()) -> #plus(Y,Z()) #6: #min(s(X),s(Y)) -> #min(X,Y) Number of SCCs: 3, DPs: 4 SCC { #1 } Sum... succeeded. Z() w: (0) s(x1) w: (1 + x1) #plus(x1,x2) w: (x1) #min(x1,x2) w: (0) 0() w: (0) quot(x1,x2) w: (0) plus(x1,x2) w: (0) min(x1,x2) w: (0) #quot(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #1 Number of SCCs: 2, DPs: 3 SCC { #2 } Sum... succeeded. Z() w: (32286) s(x1) w: (10452 + x1) #plus(x1,x2) w: (0) #min(x1,x2) w: (0) 0() w: (1) quot(x1,x2) w: (0) plus(x1,x2) w: (1 + x2 + x1) min(x1,x2) w: (10451 + x1) #quot(x1,x2) w: (2 + x1) USABLE RULES: { 1..5 } Removed DPs: #2 Number of SCCs: 1, DPs: 2 SCC { #4 #6 } Sum... succeeded. Z() w: (1) s(x1) w: (1 + x1) #plus(x1,x2) w: (0) #min(x1,x2) w: (x2 + x1) 0() w: (1) quot(x1,x2) w: (0) plus(x1,x2) w: (4597 + x2 + x1) min(x1,x2) w: (10451 + x2 + x1) #quot(x1,x2) w: (2 + x1) USABLE RULES: { 1..5 } Removed DPs: #4 #6 Number of SCCs: 0, DPs: 0
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