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TRS Standard pair #516967448
details
property
value
status
complete
benchmark
secret5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n135.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.153506040573 seconds
cpu usage
0.100930731
max memory
9064448.0
stage attributes
key
value
output-size
3949
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: t(N) -> cs(r(q(N)),nt(ns(N))) 2: q(0()) -> 0() 3: q(s(X)) -> s(p(q(X),d(X))) 4: d(0()) -> 0() 5: d(s(X)) -> s(s(d(X))) 6: p(0(),X) -> X 7: p(X,0()) -> X 8: p(s(X),s(Y)) -> s(s(p(X,Y))) 9: f(0(),X) -> nil() 10: f(s(X),cs(Y,Z)) -> cs(Y,nf(X,a(Z))) 11: t(X) -> nt(X) 12: s(X) -> ns(X) 13: f(X1,X2) -> nf(X1,X2) 14: a(nt(X)) -> t(a(X)) 15: a(ns(X)) -> s(a(X)) 16: a(nf(X1,X2)) -> f(a(X1),a(X2)) 17: a(X) -> X Number of strict rules: 17 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #a(nt(X)) -> #t(a(X)) #2: #a(nt(X)) -> #a(X) #3: #f(s(X),cs(Y,Z)) -> #a(Z) #4: #d(s(X)) -> #s(s(d(X))) #5: #d(s(X)) -> #s(d(X)) #6: #d(s(X)) -> #d(X) #7: #a(nf(X1,X2)) -> #f(a(X1),a(X2)) #8: #a(nf(X1,X2)) -> #a(X1) #9: #a(nf(X1,X2)) -> #a(X2) #10: #q(s(X)) -> #s(p(q(X),d(X))) #11: #q(s(X)) -> #p(q(X),d(X)) #12: #q(s(X)) -> #q(X) #13: #q(s(X)) -> #d(X) #14: #t(N) -> #q(N) #15: #p(s(X),s(Y)) -> #s(s(p(X,Y))) #16: #p(s(X),s(Y)) -> #s(p(X,Y)) #17: #p(s(X),s(Y)) -> #p(X,Y) #18: #a(ns(X)) -> #s(a(X)) #19: #a(ns(X)) -> #a(X) Number of SCCs: 4, DPs: 9 SCC { #12 } Sum... succeeded. a(x1) w: (0) nf(x1,x2) w: (0) q(x1) w: (0) d(x1) w: (0) s(x1) w: (1 + x1) r(x1) w: (0) t(x1) w: (0) ns(x1) w: (0) #p(x1,x2) w: (0) cs(x1,x2) w: (0) f(x1,x2) w: (0) p(x1,x2) w: (0) 0() w: (0) #s(x1) w: (0) nil() w: (0) #d(x1) w: (0) #f(x1,x2) w: (0) nt(x1) w: (0) #a(x1) w: (0) #q(x1) w: (x1) #t(x1) w: (0) USABLE RULES: { } Removed DPs: #12 Number of SCCs: 3, DPs: 8 SCC { #6 } Sum... succeeded. a(x1) w: (0) nf(x1,x2) w: (0) q(x1) w: (0) d(x1) w: (0) s(x1) w: (1 + x1) r(x1) w: (0) t(x1) w: (0) ns(x1) w: (0) #p(x1,x2) w: (0) cs(x1,x2) w: (0) f(x1,x2) w: (0) p(x1,x2) w: (0) 0() w: (0) #s(x1) w: (0) nil() w: (0) #d(x1) w: (x1) #f(x1,x2) w: (0) nt(x1) w: (0) #a(x1) w: (0) #q(x1) w: (0) #t(x1) w: (0) USABLE RULES: { } Removed DPs: #6
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