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TRS Standard pair #516967468
details
property
value
status
complete
benchmark
secret4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.158559799194 seconds
cpu usage
0.115025489
max memory
1.4176256E7
stage attributes
key
value
output-size
5446
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: a(h(),h(),h(),x) -> s(x) 2: a(l,x,s(y),h()) -> a(l,x,y,s(h())) 3: a(l,x,s(y),s(z)) -> a(l,x,y,a(l,x,s(y),z)) 4: a(l,s(x),h(),z) -> a(l,x,z,z) 5: a(s(l),h(),h(),z) -> a(l,z,h(),z) 6: +(x,h()) -> x 7: +(h(),x) -> x 8: +(s(x),s(y)) -> s(s(+(x,y))) 9: +(+(x,y),z) -> +(x,+(y,z)) 10: s(h()) -> 1() 11: app(nil(),k) -> k 12: app(l,nil()) -> l 13: app(cons(x,l),k) -> cons(x,app(l,k)) 14: sum(cons(x,nil())) -> cons(x,nil()) 15: sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h(),h()),l)) Number of strict rules: 15 Direct poly ... failed. Freezing sum 1: a(h(),h(),h(),x) -> s(x) 2: a(l,x,s(y),h()) -> a(l,x,y,s(h())) 3: a(l,x,s(y),s(z)) -> a(l,x,y,a(l,x,s(y),z)) 4: a(l,s(x),h(),z) -> a(l,x,z,z) 5: a(s(l),h(),h(),z) -> a(l,z,h(),z) 6: +(x,h()) -> x 7: +(h(),x) -> x 8: +(s(x),s(y)) -> s(s(+(x,y))) 9: +(+(x,y),z) -> +(x,+(y,z)) 10: s(h()) -> 1() 11: app(nil(),k) -> k 12: app(l,nil()) -> l 13: app(cons(x,l),k) -> cons(x,app(l,k)) 14: sum❆1_cons(x,nil()) -> cons(x,nil()) 15: sum❆1_cons(x,cons(y,l)) -> sum❆1_cons(a(x,y,h(),h()),l) 16: sum(cons(_1,_2)) ->= sum❆1_cons(_1,_2) Number of strict rules: 15 Direct poly ... failed. Dependency Pairs: #1: #a(l,x,s(y),h()) -> #a(l,x,y,s(h())) #2: #a(l,x,s(y),h()) -> #s(h()) #3: #app(cons(x,l),k) -> #app(l,k) #4: #+(+(x,y),z) -> #+(x,+(y,z)) #5: #+(+(x,y),z) -> #+(y,z) #6: #a(s(l),h(),h(),z) -> #a(l,z,h(),z) #7: #sum(cons(_1,_2)) ->? #sum❆1_cons(_1,_2) #8: #a(l,x,s(y),s(z)) -> #a(l,x,y,a(l,x,s(y),z)) #9: #a(l,x,s(y),s(z)) -> #a(l,x,s(y),z) #10: #a(h(),h(),h(),x) -> #s(x) #11: #+(s(x),s(y)) -> #s(s(+(x,y))) #12: #+(s(x),s(y)) -> #s(+(x,y)) #13: #+(s(x),s(y)) -> #+(x,y) #14: #sum❆1_cons(x,cons(y,l)) -> #sum❆1_cons(a(x,y,h(),h()),l) #15: #sum❆1_cons(x,cons(y,l)) -> #a(x,y,h(),h()) #16: #a(l,s(x),h(),z) -> #a(l,x,z,z) Number of SCCs: 4, DPs: 10 SCC { #3 } Sum... succeeded. h() w: (0) a(x1,x2,x3,x4) w: (0) 1() w: (0) s(x1) w: (0) sum❆1_cons(x1,x2) w: (0) #sum❆1_cons(x1,x2) w: (0) sum(x1) w: (0) #s(x1) w: (0) nil() w: (0) #app(x1,x2) w: (x1) cons(x1,x2) w: (1 + x2) #a(x1,x2,x3,x4) w: (0) +(x1,x2) w: (0) #sum(x1) w: (0) #+(x1,x2) w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #3 Number of SCCs: 3, DPs: 9 SCC { #14 } Sum... succeeded. h() w: (1) a(x1,x2,x3,x4) w: (7721 + x4 + x3 + x2 + x1) 1() w: (7721) s(x1) w: (7720) sum❆1_cons(x1,x2) w: (0) #sum❆1_cons(x1,x2) w: (21238 + x2) sum(x1) w: (0) #s(x1) w: (0) nil() w: (0) #app(x1,x2) w: (0) cons(x1,x2) w: (1 + x2 + x1) #a(x1,x2,x3,x4) w: (0) +(x1,x2) w: (0) #sum(x1) w: (0) #+(x1,x2) w: (0)
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