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TRS Standard pair #516967653
details
property
value
status
complete
benchmark
#4.27.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n032.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.118084192276 seconds
cpu usage
0.054703635
max memory
9138176.0
stage attributes
key
value
output-size
2139
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: p(0()) -> 0() 2: p(s(x)) -> x 3: le(0(),y) -> true() 4: le(s(x),0()) -> false() 5: le(s(x),s(y)) -> le(x,y) 6: minus(x,0()) -> x 7: minus(x,s(y)) -> if(le(x,s(y)),0(),p(minus(x,p(s(y))))) 8: if(true(),x,y) -> x 9: if(false(),x,y) -> y Number of strict rules: 9 Direct poly ... failed. Freezing p 1: p❆1_0() -> 0() 2: p❆1_s(x) -> x 3: le(0(),y) -> true() 4: le(s(x),0()) -> false() 5: le(s(x),s(y)) -> le(x,y) 6: minus(x,0()) -> x 7: minus(x,s(y)) -> if(le(x,s(y)),0(),p(minus(x,p❆1_s(y)))) 8: if(true(),x,y) -> x 9: if(false(),x,y) -> y 10: p(0()) ->= p❆1_0() 11: p(s(_1)) ->= p❆1_s(_1) Number of strict rules: 9 Direct poly ... failed. Dependency Pairs: #1: #p(s(_1)) ->? #p❆1_s(_1) #2: #minus(x,s(y)) -> #if(le(x,s(y)),0(),p(minus(x,p❆1_s(y)))) #3: #minus(x,s(y)) -> #le(x,s(y)) #4: #minus(x,s(y)) -> #p(minus(x,p❆1_s(y))) #5: #minus(x,s(y)) -> #minus(x,p❆1_s(y)) #6: #minus(x,s(y)) -> #p❆1_s(y) #7: #p(0()) ->? #p❆1_0() #8: #le(s(x),s(y)) -> #le(x,y) Number of SCCs: 2, DPs: 2 SCC { #5 } Sum... succeeded. le(x1,x2) w: (0) s(x1) w: (1 + x1) #le(x1,x2) w: (0) minus(x1,x2) w: (0) p❆1_s(x1) w: (x1) #p❆1_0() w: (0) false() w: (0) #p(x1) w: (0) #p❆1_s(x1) w: (0) true() w: (0) p(x1) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) p❆1_0() w: (0) #minus(x1,x2) w: (x2) #if(x1,x2,x3) w: (0) USABLE RULES: { 2 } Removed DPs: #5 Number of SCCs: 1, DPs: 1 SCC { #8 } Sum... succeeded. le(x1,x2) w: (0) s(x1) w: (1 + x1) #le(x1,x2) w: (x2 + x1) minus(x1,x2) w: (0) p❆1_s(x1) w: (x1) #p❆1_0() w: (0) false() w: (0) #p(x1) w: (0) #p❆1_s(x1) w: (0) true() w: (0) p(x1) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) p❆1_0() w: (0) #minus(x1,x2) w: (x2) #if(x1,x2,x3) w: (0) USABLE RULES: { 2 } Removed DPs: #8 Number of SCCs: 0, DPs: 0
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