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TRS Stand 20472 pair #381712918
details
property
value
status
complete
benchmark
#4.30a.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n109.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
26.4357590675 seconds
cpu usage
104.240326612
max memory
6.56543744E8
stage attributes
key
value
output-size
9240
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(s(x),s(y)),s(y))) Proof: DP Processor: DPs: minus#(s(x),s(y)) -> minus#(x,y) le#(s(x),s(y)) -> le#(x,y) quot#(s(x),s(y)) -> minus#(s(x),s(y)) quot#(s(x),s(y)) -> quot#(minus(s(x),s(y)),s(y)) TRS: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(s(x),s(y)),s(y))) TDG Processor: DPs: minus#(s(x),s(y)) -> minus#(x,y) le#(s(x),s(y)) -> le#(x,y) quot#(s(x),s(y)) -> minus#(s(x),s(y)) quot#(s(x),s(y)) -> quot#(minus(s(x),s(y)),s(y)) TRS: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(s(x),s(y)),s(y))) graph: quot#(s(x),s(y)) -> quot#(minus(s(x),s(y)),s(y)) -> quot#(s(x),s(y)) -> quot#(minus(s(x),s(y)),s(y)) quot#(s(x),s(y)) -> quot#(minus(s(x),s(y)),s(y)) -> quot#(s(x),s(y)) -> minus#(s(x),s(y)) quot#(s(x),s(y)) -> minus#(s(x),s(y)) -> minus#(s(x),s(y)) -> minus#(x,y) le#(s(x),s(y)) -> le#(x,y) -> le#(s(x),s(y)) -> le#(x,y) minus#(s(x),s(y)) -> minus#(x,y) -> minus#(s(x),s(y)) -> minus#(x,y) SCC Processor: #sccs: 3 #rules: 3 #arcs: 5/16 DPs: le#(s(x),s(y)) -> le#(x,y) TRS: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(s(x),s(y)),s(y))) Subterm Criterion Processor: simple projection: pi(le#) = 0 problem: DPs: TRS: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(s(x),s(y)),s(y))) Qed DPs: quot#(s(x),s(y)) -> quot#(minus(s(x),s(y)),s(y)) TRS: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(s(x),s(y)),s(y))) Extended Uncurrying Processor: application symbol: le symbol table: quot# ==> quot{0,#}/2 quot ==> quot0/2
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