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TRS Standard pair #516963903
details
property
value
status
complete
benchmark
fac.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n094.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.0807359218597 seconds
cpu usage
0.052411564
max memory
1.09568E7
stage attributes
key
value
output-size
2597
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(x,0()) -> x 2: plus(x,s(y)) -> s(plus(x,y)) 3: times(0(),y) -> 0() 4: times(x,0()) -> 0() 5: times(s(x),y) -> plus(times(x,y),y) 6: p(s(s(x))) -> s(p(s(x))) 7: p(s(0())) -> 0() 8: fac(s(x)) -> times(fac(p(s(x))),s(x)) Number of strict rules: 8 Direct poly ... failed. Freezing p 1: plus(x,0()) -> x 2: plus(x,s(y)) -> s(plus(x,y)) 3: times(0(),y) -> 0() 4: times(x,0()) -> 0() 5: times(s(x),y) -> plus(times(x,y),y) 6: p❆1_s(s(x)) -> s(p❆1_s(x)) 7: p❆1_s(0()) -> 0() 8: fac(s(x)) -> times(fac(p❆1_s(x)),s(x)) 9: p(s(_1)) ->= p❆1_s(_1) Number of strict rules: 8 Direct poly ... failed. Dependency Pairs: #1: #plus(x,s(y)) -> #plus(x,y) #2: #p❆1_s(s(x)) -> #p❆1_s(x) #3: #p(s(_1)) ->? #p❆1_s(_1) #4: #times(s(x),y) -> #plus(times(x,y),y) #5: #times(s(x),y) -> #times(x,y) #6: #fac(s(x)) -> #times(fac(p❆1_s(x)),s(x)) #7: #fac(s(x)) -> #fac(p❆1_s(x)) #8: #fac(s(x)) -> #p❆1_s(x) Number of SCCs: 4, DPs: 4 SCC { #2 } Sum... succeeded. s(x1) w: (1 + x1) #fac(x1) w: (0) p❆1_s(x1) w: (0) #plus(x1,x2) w: (0) #p(x1) w: (0) #p❆1_s(x1) w: (x1) p(x1) w: (0) #times(x1,x2) w: (0) 0() w: (0) times(x1,x2) w: (0) fac(x1) w: (0) plus(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #2 Number of SCCs: 3, DPs: 3 SCC { #7 } Sum... succeeded. s(x1) w: (2 + x1) #fac(x1) w: (x1) p❆1_s(x1) w: (1 + x1) #plus(x1,x2) w: (0) #p(x1) w: (0) #p❆1_s(x1) w: (0) p(x1) w: (0) #times(x1,x2) w: (0) 0() w: (1) times(x1,x2) w: (0) fac(x1) w: (0) plus(x1,x2) w: (0) USABLE RULES: { 6 7 } Removed DPs: #7 Number of SCCs: 2, DPs: 2 SCC { #5 } Sum... succeeded. s(x1) w: (2 + x1) #fac(x1) w: (x1) p❆1_s(x1) w: (1 + x1) #plus(x1,x2) w: (0) #p(x1) w: (0) #p❆1_s(x1) w: (0) p(x1) w: (0) #times(x1,x2) w: (x1) 0() w: (1) times(x1,x2) w: (0) fac(x1) w: (0) plus(x1,x2) w: (0) USABLE RULES: { 6 7 } Removed DPs: #5 Number of SCCs: 1, DPs: 1 SCC { #1 } Sum... succeeded. s(x1) w: (2 + x1) #fac(x1) w: (x1) p❆1_s(x1) w: (1 + x1) #plus(x1,x2) w: (x2) #p(x1) w: (0) #p❆1_s(x1) w: (0) p(x1) w: (0)
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