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TRS Stand 20472 pair #381713577
details
property
value
status
complete
benchmark
#3.16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n098.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.50413107872 seconds
cpu usage
0.776562873
max memory
1.24678144E8
stage attributes
key
value
output-size
3219
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: times(x,0()) -> 0() times(x,s(y)) -> plus(times(x,y),x) plus(x,0()) -> x plus(0(),x) -> x plus(x,s(y)) -> s(plus(x,y)) plus(s(x),y) -> s(plus(x,y)) Proof: DP Processor: DPs: times#(x,s(y)) -> times#(x,y) times#(x,s(y)) -> plus#(times(x,y),x) plus#(x,s(y)) -> plus#(x,y) plus#(s(x),y) -> plus#(x,y) TRS: times(x,0()) -> 0() times(x,s(y)) -> plus(times(x,y),x) plus(x,0()) -> x plus(0(),x) -> x plus(x,s(y)) -> s(plus(x,y)) plus(s(x),y) -> s(plus(x,y)) TDG Processor: DPs: times#(x,s(y)) -> times#(x,y) times#(x,s(y)) -> plus#(times(x,y),x) plus#(x,s(y)) -> plus#(x,y) plus#(s(x),y) -> plus#(x,y) TRS: times(x,0()) -> 0() times(x,s(y)) -> plus(times(x,y),x) plus(x,0()) -> x plus(0(),x) -> x plus(x,s(y)) -> s(plus(x,y)) plus(s(x),y) -> s(plus(x,y)) graph: plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> plus#(x,y) plus#(s(x),y) -> plus#(x,y) -> plus#(x,s(y)) -> plus#(x,y) plus#(x,s(y)) -> plus#(x,y) -> plus#(s(x),y) -> plus#(x,y) plus#(x,s(y)) -> plus#(x,y) -> plus#(x,s(y)) -> plus#(x,y) times#(x,s(y)) -> plus#(times(x,y),x) -> plus#(s(x),y) -> plus#(x,y) times#(x,s(y)) -> plus#(times(x,y),x) -> plus#(x,s(y)) -> plus#(x,y) times#(x,s(y)) -> times#(x,y) -> times#(x,s(y)) -> plus#(times(x,y),x) times#(x,s(y)) -> times#(x,y) -> times#(x,s(y)) -> times#(x,y) SCC Processor: #sccs: 2 #rules: 3 #arcs: 8/16 DPs: times#(x,s(y)) -> times#(x,y) TRS: times(x,0()) -> 0() times(x,s(y)) -> plus(times(x,y),x) plus(x,0()) -> x plus(0(),x) -> x plus(x,s(y)) -> s(plus(x,y)) plus(s(x),y) -> s(plus(x,y)) Subterm Criterion Processor: simple projection: pi(times#) = 1 problem: DPs: TRS: times(x,0()) -> 0() times(x,s(y)) -> plus(times(x,y),x) plus(x,0()) -> x plus(0(),x) -> x plus(x,s(y)) -> s(plus(x,y)) plus(s(x),y) -> s(plus(x,y)) Qed DPs: plus#(s(x),y) -> plus#(x,y) plus#(x,s(y)) -> plus#(x,y) TRS: times(x,0()) -> 0() times(x,s(y)) -> plus(times(x,y),x) plus(x,0()) -> x plus(0(),x) -> x plus(x,s(y)) -> s(plus(x,y)) plus(s(x),y) -> s(plus(x,y)) Subterm Criterion Processor: simple projection: pi(plus#) = 0 problem: DPs: plus#(x,s(y)) -> plus#(x,y) TRS:
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