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TRS Standard pair #516961058
details
property
value
status
complete
benchmark
aprove5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Secret_05_TRS
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.0920870304108 seconds
cpu usage
0.081354562
max memory
1.112064E7
stage attributes
key
value
output-size
3897
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: minus(x,0()) -> x 2: minus(0(),y) -> 0() 3: minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) 4: minus(x,plus(y,z)) -> minus(minus(x,y),z) 5: p(s(s(x))) -> s(p(s(x))) 6: p(0()) -> s(s(0())) 7: div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 8: div(plus(x,y),z) -> plus(div(x,z),div(y,z)) 9: plus(0(),y) -> y 10: plus(s(x),y) -> s(plus(y,minus(s(x),s(0())))) Number of strict rules: 10 Direct poly ... failed. Freezing p 1: minus(x,0()) -> x 2: minus(0(),y) -> 0() 3: minus(s(x),s(y)) -> minus(p❆1_s(x),p❆1_s(y)) 4: minus(x,plus(y,z)) -> minus(minus(x,y),z) 5: p❆1_s(s(x)) -> s(p❆1_s(x)) 6: p❆1_0() -> s(s(0())) 7: div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 8: div(plus(x,y),z) -> plus(div(x,z),div(y,z)) 9: plus(0(),y) -> y 10: plus(s(x),y) -> s(plus(y,minus(s(x),s(0())))) 11: p(0()) ->= p❆1_0() 12: p(s(_1)) ->= p❆1_s(_1) Number of strict rules: 10 Direct poly ... failed. Dependency Pairs: #1: #p(0()) ->? #p❆1_0() #2: #p(s(_1)) ->? #p❆1_s(_1) #3: #div(s(x),s(y)) -> #div(minus(x,y),s(y)) #4: #div(s(x),s(y)) -> #minus(x,y) #5: #plus(s(x),y) -> #plus(y,minus(s(x),s(0()))) #6: #plus(s(x),y) -> #minus(s(x),s(0())) #7: #p❆1_s(s(x)) -> #p❆1_s(x) #8: #minus(s(x),s(y)) -> #minus(p❆1_s(x),p❆1_s(y)) #9: #minus(s(x),s(y)) -> #p❆1_s(x) #10: #minus(s(x),s(y)) -> #p❆1_s(y) #11: #div(plus(x,y),z) -> #plus(div(x,z),div(y,z)) #12: #div(plus(x,y),z) -> #div(x,z) #13: #div(plus(x,y),z) -> #div(y,z) #14: #minus(x,plus(y,z)) -> #minus(minus(x,y),z) #15: #minus(x,plus(y,z)) -> #minus(x,y) Number of SCCs: 5, DPs: 8 SCC { #7 } Sum... succeeded. #div(x1,x2) w: (0) s(x1) w: (1 + x1) minus(x1,x2) w: (0) p❆1_s(x1) w: (0) #p❆1_0() w: (0) #plus(x1,x2) w: (0) div(x1,x2) w: (0) #p(x1) w: (0) #p❆1_s(x1) w: (x1) p(x1) w: (0) 0() w: (0) p❆1_0() w: (0) #minus(x1,x2) w: (0) plus(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #7 Number of SCCs: 4, DPs: 7 SCC { #8 } Sum... succeeded. #div(x1,x2) w: (0) s(x1) w: (2 + x1) minus(x1,x2) w: (0) p❆1_s(x1) w: (1 + x1) #p❆1_0() w: (0) #plus(x1,x2) w: (0) div(x1,x2) w: (0) #p(x1) w: (0) #p❆1_s(x1) w: (0) p(x1) w: (0) 0() w: (0) p❆1_0() w: (0) #minus(x1,x2) w: (7719 + x2 + x1) plus(x1,x2) w: (0) USABLE RULES: { 5 } Removed DPs: #8 Number of SCCs: 3, DPs: 6 SCC { #5 } Sum... succeeded. #div(x1,x2) w: (0) s(x1) w: (11799 + x1) minus(x1,x2) w: (11798) p❆1_s(x1) w: (1 + x1) #p❆1_0() w: (0) #plus(x1,x2) w: (x2 + x1) div(x1,x2) w: (0) #p(x1) w: (0)
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