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TRS Standard pair #516967478
details
property
value
status
complete
benchmark
secret3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n171.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.0962960720062 seconds
cpu usage
0.072127361
max memory
1.0801152E7
stage attributes
key
value
output-size
3333
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: app(nil(),k) -> k 2: app(l,nil()) -> l 3: app(cons(x,l),k) -> cons(x,app(l,k)) 4: sum(cons(x,nil())) -> cons(x,nil()) 5: sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h()),l)) 6: a(h(),h(),x) -> s(x) 7: a(x,s(y),h()) -> a(x,y,s(h())) 8: a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) 9: a(s(x),h(),z) -> a(x,z,z) Number of strict rules: 9 Direct poly ... failed. Freezing sum 1: app(nil(),k) -> k 2: app(l,nil()) -> l 3: app(cons(x,l),k) -> cons(x,app(l,k)) 4: sum❆1_cons(x,nil()) -> cons(x,nil()) 5: sum❆1_cons(x,cons(y,l)) -> sum❆1_cons(a(x,y,h()),l) 6: a(h(),h(),x) -> s(x) 7: a(x,s(y),h()) -> a(x,y,s(h())) 8: a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) 9: a(s(x),h(),z) -> a(x,z,z) 10: sum(cons(_1,_2)) ->= sum❆1_cons(_1,_2) Number of strict rules: 9 Direct poly ... failed. Dependency Pairs: #1: #a(s(x),h(),z) -> #a(x,z,z) #2: #a(x,s(y),h()) -> #a(x,y,s(h())) #3: #sum(cons(_1,_2)) ->? #sum❆1_cons(_1,_2) #4: #sum❆1_cons(x,cons(y,l)) -> #sum❆1_cons(a(x,y,h()),l) #5: #sum❆1_cons(x,cons(y,l)) -> #a(x,y,h()) #6: #app(cons(x,l),k) -> #app(l,k) #7: #a(x,s(y),s(z)) -> #a(x,y,a(x,s(y),z)) #8: #a(x,s(y),s(z)) -> #a(x,s(y),z) Number of SCCs: 3, DPs: 6 SCC { #6 } Sum... succeeded. h() w: (0) a(x1,x2,x3) w: (0) s(x1) w: (0) sum❆1_cons(x1,x2) w: (0) #sum❆1_cons(x1,x2) w: (0) sum(x1) w: (0) nil() w: (0) #app(x1,x2) w: (x1) cons(x1,x2) w: (1 + x2) #a(x1,x2,x3) w: (0) #sum(x1) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #6 Number of SCCs: 2, DPs: 5 SCC { #4 } Sum... succeeded. h() w: (1) a(x1,x2,x3) w: (1 + x2 + x1) s(x1) w: (7723 + x1) sum❆1_cons(x1,x2) w: (0) #sum❆1_cons(x1,x2) w: (21238 + x2) sum(x1) w: (0) nil() w: (0) #app(x1,x2) w: (0) cons(x1,x2) w: (1 + x2 + x1) #a(x1,x2,x3) w: (0) #sum(x1) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #4 Number of SCCs: 1, DPs: 4 SCC { #1 #2 #7 #8 } Sum... succeeded. h() w: (1) a(x1,x2,x3) w: (1 + x2 + x1) s(x1) w: (7723 + x1) sum❆1_cons(x1,x2) w: (0) #sum❆1_cons(x1,x2) w: (21238) sum(x1) w: (0) nil() w: (0) #app(x1,x2) w: (0) cons(x1,x2) w: (1) #a(x1,x2,x3) w: (x1) #sum(x1) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 3 SCC { #2 #7 #8 } Sum... succeeded. h() w: (1143) a(x1,x2,x3) w: (x2 + x1) s(x1) w: (2287 + x1) sum❆1_cons(x1,x2) w: (0) #sum❆1_cons(x1,x2) w: (21238)
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