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TRS Standard pair #516964503
details
property
value
status
complete
benchmark
perfect.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.133031129837 seconds
cpu usage
0.046405462
max memory
1.222656E7
stage attributes
key
value
output-size
1770
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: perfectp(0()) -> false() 2: perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) 3: f(0(),y,0(),u) -> true() 4: f(0(),y,s(z),u) -> false() 5: f(s(x),0(),z,u) -> f(x,u,minus(z,s(x)),u) 6: f(s(x),s(y),z,u) -> if(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) Number of strict rules: 6 Direct poly ... failed. Freezing f 1: perfectp(0()) -> false() 2: perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) 3: f❆1_0(y,0(),u) -> true() 4: f❆1_0(y,s(z),u) -> false() 5: f❆1_s(x,0(),z,u) -> f(x,u,minus(z,s(x)),u) 6: f❆1_s(x,s(y),z,u) -> if(le(x,y),f❆1_s(x,minus(y,x),z,u),f(x,u,z,u)) 7: f(0(),_3,_4,_5) ->= f❆1_0(_3,_4,_5) 8: f(s(_1),_4,_5,_6) ->= f❆1_s(_1,_4,_5,_6) Number of strict rules: 6 Direct poly ... failed. Dependency Pairs: #1: #perfectp(s(x)) -> #f(x,s(0()),s(x),s(x)) #2: #f❆1_s(x,s(y),z,u) -> #f❆1_s(x,minus(y,x),z,u) #3: #f❆1_s(x,s(y),z,u) -> #f(x,u,z,u) #4: #f(0(),_3,_4,_5) ->? #f❆1_0(_3,_4,_5) #5: #f❆1_s(x,0(),z,u) -> #f(x,u,minus(z,s(x)),u) #6: #f(s(_1),_4,_5,_6) ->? #f❆1_s(_1,_4,_5,_6) Number of SCCs: 1, DPs: 3 SCC { #3 #5 #6 } Sum... succeeded. #f❆1_s(x1,x2,x3,x4) w: (1 + x4 + x1) le(x1,x2) w: (0) s(x1) w: (40 + x1) minus(x1,x2) w: (x2) #perfectp(x1) w: (0) false() w: (0) true() w: (0) f❆1_s(x1,x2,x3,x4) w: (0) f(x1,x2,x3,x4) w: (0) 0() w: (1) if(x1,x2,x3) w: (0) #f❆1_0(x1,x2,x3) w: (0) #f(x1,x2,x3,x4) w: (x4 + x1) perfectp(x1) w: (0) f❆1_0(x1,x2,x3) w: (0) USABLE RULES: { } Removed DPs: #3 #5 #6 Number of SCCs: 0, DPs: 0
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