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TRS Standard pair #516964668
details
property
value
status
complete
benchmark
logarquot.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n068.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.134295940399 seconds
cpu usage
0.067158215
max memory
1.1481088E7
stage attributes
key
value
output-size
2060
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()) -> X 2: min(s(X),s(Y)) -> min(X,Y) 3: quot(0(),s(Y)) -> 0() 4: quot(s(X),s(Y)) -> s(quot(min(X,Y),s(Y))) 5: log(s(0())) -> 0() 6: log(s(s(X))) -> s(log(s(quot(X,s(s(0())))))) Number of strict rules: 6 Direct poly ... failed. Freezing log 1: min(X,0()) -> X 2: min(s(X),s(Y)) -> min(X,Y) 3: quot(0(),s(Y)) -> 0() 4: quot(s(X),s(Y)) -> s(quot(min(X,Y),s(Y))) 5: log❆1_s(0()) -> 0() 6: log❆1_s(s(X)) -> s(log❆1_s(quot(X,s(s(0()))))) 7: log(s(_1)) ->= log❆1_s(_1) Number of strict rules: 6 Direct poly ... failed. Dependency Pairs: #1: #min(s(X),s(Y)) -> #min(X,Y) #2: #log❆1_s(s(X)) -> #log❆1_s(quot(X,s(s(0())))) #3: #log❆1_s(s(X)) -> #quot(X,s(s(0()))) #4: #log(s(_1)) ->? #log❆1_s(_1) #5: #quot(s(X),s(Y)) -> #quot(min(X,Y),s(Y)) #6: #quot(s(X),s(Y)) -> #min(X,Y) Number of SCCs: 3, DPs: 3 SCC { #1 } Sum... succeeded. s(x1) w: (1 + x1) #min(x1,x2) w: (x2 + x1) #log(x1) w: (0) #log❆1_s(x1) w: (0) log(x1) w: (0) 0() w: (0) quot(x1,x2) w: (0) min(x1,x2) w: (0) #quot(x1,x2) w: (0) log❆1_s(x1) w: (0) USABLE RULES: { } Removed DPs: #1 Number of SCCs: 2, DPs: 2 SCC { #2 } Sum... succeeded. s(x1) w: (7721 + x1) #min(x1,x2) w: (0) #log(x1) w: (0) #log❆1_s(x1) w: (x1) log(x1) w: (0) 0() w: (1) quot(x1,x2) w: (7720 + x1) min(x1,x2) w: (x1) #quot(x1,x2) w: (0) log❆1_s(x1) w: (0) USABLE RULES: { 1..4 } Removed DPs: #2 Number of SCCs: 1, DPs: 1 SCC { #5 } Sum... succeeded. s(x1) w: (1 + x1) #min(x1,x2) w: (0) #log(x1) w: (0) #log❆1_s(x1) w: (0) log(x1) w: (0) 0() w: (1) quot(x1,x2) w: (7720 + x1) min(x1,x2) w: (x1) #quot(x1,x2) w: (8365 + x2 + x1) log❆1_s(x1) w: (0) USABLE RULES: { 1..3 } Removed DPs: #5 Number of SCCs: 0, DPs: 0
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