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TRS Standard pair #487067577
details
property
value
status
complete
benchmark
#3.18.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.801227 seconds
cpu usage
2.06255
user time
1.5512
system time
0.511348
max virtual memory
4464620.0
max residence set size
68924.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) double(0()) -> 0() double(s(x)) -> s(s(double(x))) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) plus(s(x),y) -> plus(x,s(y)) plus(s(x),y) -> s(plus(minus(x,y),double(y))) Proof: DP Processor: DPs: minus#(s(x),s(y)) -> minus#(x,y) double#(s(x)) -> double#(x) plus#(s(x),y) -> plus#(x,y) plus#(s(x),y) -> plus#(x,s(y)) plus#(s(x),y) -> double#(y) plus#(s(x),y) -> minus#(x,y) plus#(s(x),y) -> plus#(minus(x,y),double(y)) TRS: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) double(0()) -> 0() double(s(x)) -> s(s(double(x))) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) plus(s(x),y) -> plus(x,s(y)) plus(s(x),y) -> s(plus(minus(x,y),double(y))) TDG Processor: DPs: minus#(s(x),s(y)) -> minus#(x,y) double#(s(x)) -> double#(x) plus#(s(x),y) -> plus#(x,y) plus#(s(x),y) -> plus#(x,s(y)) plus#(s(x),y) -> double#(y) plus#(s(x),y) -> minus#(x,y) plus#(s(x),y) -> plus#(minus(x,y),double(y)) TRS: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) double(0()) -> 0() double(s(x)) -> s(s(double(x))) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) plus(s(x),y) -> plus(x,s(y)) plus(s(x),y) -> s(plus(minus(x,y),double(y))) graph: plus#(s(x),y) -> plus#(minus(x,y),double(y)) -> plus#(s(x),y) -> plus#(minus(x,y),double(y)) plus#(s(x),y) -> plus#(minus(x,y),double(y)) -> plus#(s(x),y) -> minus#(x,y) plus#(s(x),y) -> plus#(minus(x,y),double(y)) -> plus#(s(x),y) -> double#(y) plus#(s(x),y) -> plus#(minus(x,y),double(y)) -> plus#(s(x),y) -> plus#(x,s(y)) plus#(s(x),y) -> plus#(minus(x,y),double(y)) -> plus#(s(x),y) -> plus#(x,y) plus#(s(x),y) -> plus#(x,s(y)) -> plus#(s(x),y) -> plus#(minus(x,y),double(y)) plus#(s(x),y) -> plus#(x,s(y)) -> plus#(s(x),y) -> minus#(x,y) plus#(s(x),y) -> plus#(x,s(y)) -> plus#(s(x),y) -> double#(y) plus#(s(x),y) -> plus#(x,s(y)) -> plus#(s(x),y) -> plus#(x,s(y)) plus#(s(x),y) -> plus#(x,s(y)) -> plus#(s(x),y) -> plus#(x,y) plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> plus#(minus(x,y),double(y)) plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> minus#(x,y) plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> double#(y) plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> plus#(x,s(y)) plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> plus#(x,y) plus#(s(x),y) -> double#(y) -> double#(s(x)) -> double#(x) plus#(s(x),y) -> minus#(x,y) -> minus#(s(x),s(y)) -> minus#(x,y) double#(s(x)) -> double#(x) -> double#(s(x)) -> double#(x) minus#(s(x),s(y)) -> minus#(x,y) -> minus#(s(x),s(y)) -> minus#(x,y) SCC Processor: #sccs: 3 #rules: 5 #arcs: 19/49 DPs: plus#(s(x),y) -> plus#(minus(x,y),double(y)) plus#(s(x),y) -> plus#(x,y) plus#(s(x),y) -> plus#(x,s(y)) TRS: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) double(0()) -> 0() double(s(x)) -> s(s(double(x))) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) plus(s(x),y) -> plus(x,s(y)) plus(s(x),y) -> s(plus(minus(x,y),double(y))) Subterm Criterion Processor: simple projection: pi(minus) = 0 pi(plus#) = 0 problem: DPs:
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