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TRS Standard pair #487069907
details
property
value
status
complete
benchmark
Ex4_4_Luc96b_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.757746 seconds
cpu usage
1.81997
user time
1.40935
system time
0.410617
max virtual memory
3686356.0
max residence set size
68668.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__f(g(X),Y) -> a__f(mark(X),f(g(X),Y)) mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(g(X)) -> g(mark(X)) a__f(X1,X2) -> f(X1,X2) Proof: DP Processor: DPs: a__f#(g(X),Y) -> mark#(X) a__f#(g(X),Y) -> a__f#(mark(X),f(g(X),Y)) mark#(f(X1,X2)) -> mark#(X1) mark#(f(X1,X2)) -> a__f#(mark(X1),X2) mark#(g(X)) -> mark#(X) TRS: a__f(g(X),Y) -> a__f(mark(X),f(g(X),Y)) mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(g(X)) -> g(mark(X)) a__f(X1,X2) -> f(X1,X2) TDG Processor: DPs: a__f#(g(X),Y) -> mark#(X) a__f#(g(X),Y) -> a__f#(mark(X),f(g(X),Y)) mark#(f(X1,X2)) -> mark#(X1) mark#(f(X1,X2)) -> a__f#(mark(X1),X2) mark#(g(X)) -> mark#(X) TRS: a__f(g(X),Y) -> a__f(mark(X),f(g(X),Y)) mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(g(X)) -> g(mark(X)) a__f(X1,X2) -> f(X1,X2) graph: mark#(f(X1,X2)) -> mark#(X1) -> mark#(g(X)) -> mark#(X) mark#(f(X1,X2)) -> mark#(X1) -> mark#(f(X1,X2)) -> a__f#(mark(X1),X2) mark#(f(X1,X2)) -> mark#(X1) -> mark#(f(X1,X2)) -> mark#(X1) mark#(f(X1,X2)) -> a__f#(mark(X1),X2) -> a__f#(g(X),Y) -> a__f#(mark(X),f(g(X),Y)) mark#(f(X1,X2)) -> a__f#(mark(X1),X2) -> a__f#(g(X),Y) -> mark#(X) mark#(g(X)) -> mark#(X) -> mark#(g(X)) -> mark#(X) mark#(g(X)) -> mark#(X) -> mark#(f(X1,X2)) -> a__f#(mark(X1),X2) mark#(g(X)) -> mark#(X) -> mark#(f(X1,X2)) -> mark#(X1) a__f#(g(X),Y) -> mark#(X) -> mark#(g(X)) -> mark#(X) a__f#(g(X),Y) -> mark#(X) -> mark#(f(X1,X2)) -> a__f#(mark(X1),X2) a__f#(g(X),Y) -> mark#(X) -> mark#(f(X1,X2)) -> mark#(X1) a__f#(g(X),Y) -> a__f#(mark(X),f(g(X),Y)) -> a__f#(g(X),Y) -> a__f#(mark(X),f(g(X),Y)) a__f#(g(X),Y) -> a__f#(mark(X),f(g(X),Y)) -> a__f#(g(X),Y) -> mark#(X) Subterm Criterion Processor: simple projection: pi(g) = [0,0,0] pi(a__f) = [0,0] pi(mark) = [0,0] pi(f) = [0,0] pi(a__f#) = 0 pi(mark#) = [0,0] problem: DPs: TRS: a__f(g(X),Y) -> a__f(mark(X),f(g(X),Y)) mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(g(X)) -> g(mark(X)) a__f(X1,X2) -> f(X1,X2) Qed
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