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Runti Compl Full Rewri 10127 pair #381903652
details
property
value
status
complete
benchmark
Ex3_3_25_Bor03_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n028.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
295.169382811 seconds
cpu usage
689.143278098
max memory
1.494495232E9
stage attributes
key
value
output-size
5342
starexec-result
WORST_CASE(Omega(n^1),?)
output
/export/starexec/sandbox2/solver/bin/starexec_run_tct_rc /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),?) * Step 1: Sum WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: active(app(X1,X2)) -> app(X1,active(X2)) active(app(X1,X2)) -> app(active(X1),X2) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(app(nil(),YS)) -> mark(YS) active(cons(X1,X2)) -> cons(active(X1),X2) active(from(X)) -> from(active(X)) active(from(X)) -> mark(cons(X,from(s(X)))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) active(prefix(X)) -> prefix(active(X)) active(s(X)) -> s(active(X)) active(zWadr(X1,X2)) -> zWadr(X1,active(X2)) active(zWadr(X1,X2)) -> zWadr(active(X1),X2) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(zWadr(nil(),YS)) -> mark(nil()) app(X1,mark(X2)) -> mark(app(X1,X2)) app(mark(X1),X2) -> mark(app(X1,X2)) app(ok(X1),ok(X2)) -> ok(app(X1,X2)) cons(mark(X1),X2) -> mark(cons(X1,X2)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) from(mark(X)) -> mark(from(X)) from(ok(X)) -> ok(from(X)) prefix(mark(X)) -> mark(prefix(X)) prefix(ok(X)) -> ok(prefix(X)) proper(app(X1,X2)) -> app(proper(X1),proper(X2)) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(from(X)) -> from(proper(X)) proper(nil()) -> ok(nil()) proper(prefix(X)) -> prefix(proper(X)) proper(s(X)) -> s(proper(X)) proper(zWadr(X1,X2)) -> zWadr(proper(X1),proper(X2)) s(mark(X)) -> mark(s(X)) s(ok(X)) -> ok(s(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) zWadr(X1,mark(X2)) -> mark(zWadr(X1,X2)) zWadr(mark(X1),X2) -> mark(zWadr(X1,X2)) zWadr(ok(X1),ok(X2)) -> ok(zWadr(X1,X2)) - Signature: {active/1,app/2,cons/2,from/1,prefix/1,proper/1,s/1,top/1,zWadr/2} / {mark/1,nil/0,ok/1} - Obligation: runtime complexity wrt. defined symbols {active,app,cons,from,prefix,proper,s,top ,zWadr} and constructors {mark,nil,ok} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: active(app(X1,X2)) -> app(X1,active(X2)) active(app(X1,X2)) -> app(active(X1),X2) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(app(nil(),YS)) -> mark(YS) active(cons(X1,X2)) -> cons(active(X1),X2) active(from(X)) -> from(active(X)) active(from(X)) -> mark(cons(X,from(s(X)))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) active(prefix(X)) -> prefix(active(X)) active(s(X)) -> s(active(X)) active(zWadr(X1,X2)) -> zWadr(X1,active(X2)) active(zWadr(X1,X2)) -> zWadr(active(X1),X2) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(zWadr(nil(),YS)) -> mark(nil()) app(X1,mark(X2)) -> mark(app(X1,X2)) app(mark(X1),X2) -> mark(app(X1,X2)) app(ok(X1),ok(X2)) -> ok(app(X1,X2)) cons(mark(X1),X2) -> mark(cons(X1,X2)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) from(mark(X)) -> mark(from(X)) from(ok(X)) -> ok(from(X)) prefix(mark(X)) -> mark(prefix(X)) prefix(ok(X)) -> ok(prefix(X)) proper(app(X1,X2)) -> app(proper(X1),proper(X2)) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(from(X)) -> from(proper(X)) proper(nil()) -> ok(nil()) proper(prefix(X)) -> prefix(proper(X)) proper(s(X)) -> s(proper(X)) proper(zWadr(X1,X2)) -> zWadr(proper(X1),proper(X2)) s(mark(X)) -> mark(s(X)) s(ok(X)) -> ok(s(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) zWadr(X1,mark(X2)) -> mark(zWadr(X1,X2)) zWadr(mark(X1),X2) -> mark(zWadr(X1,X2)) zWadr(ok(X1),ok(X2)) -> ok(zWadr(X1,X2)) - Signature: {active/1,app/2,cons/2,from/1,prefix/1,proper/1,s/1,top/1,zWadr/2} / {mark/1,nil/0,ok/1}
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