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TRS Standard pair #487067472
details
property
value
status
complete
benchmark
#3.21.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.696895 seconds
cpu usage
1.70381
user time
1.16295
system time
0.540851
max virtual memory
5150192.0
max residence set size
68300.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) times(x,1()) -> x plus(x,0()) -> x times(x,0()) -> 0() Proof: DP Processor: DPs: times#(x,plus(y,1())) -> times#(1(),0()) times#(x,plus(y,1())) -> plus#(y,times(1(),0())) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) times#(x,plus(y,1())) -> plus#(times(x,plus(y,times(1(),0()))),x) TRS: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) times(x,1()) -> x plus(x,0()) -> x times(x,0()) -> 0() TDG Processor: DPs: times#(x,plus(y,1())) -> times#(1(),0()) times#(x,plus(y,1())) -> plus#(y,times(1(),0())) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) times#(x,plus(y,1())) -> plus#(times(x,plus(y,times(1(),0()))),x) TRS: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) times(x,1()) -> x plus(x,0()) -> x times(x,0()) -> 0() graph: times#(x,plus(y,1())) -> times#(1(),0()) -> times#(x,plus(y,1())) -> plus#(times(x,plus(y,times(1(),0()))),x) times#(x,plus(y,1())) -> times#(1(),0()) -> times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) times#(x,plus(y,1())) -> times#(1(),0()) -> times#(x,plus(y,1())) -> plus#(y,times(1(),0())) times#(x,plus(y,1())) -> times#(1(),0()) -> times#(x,plus(y,1())) -> times#(1(),0()) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) -> times#(x,plus(y,1())) -> plus#(times(x,plus(y,times(1(),0()))),x) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) -> times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) -> times#(x,plus(y,1())) -> plus#(y,times(1(),0())) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) -> times#(x,plus(y,1())) -> times#(1(),0()) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: times#(x,plus(y,1())) -> times#(1(),0()) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) TRS: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) times(x,1()) -> x plus(x,0()) -> x times(x,0()) -> 0() EDG Processor: DPs: times#(x,plus(y,1())) -> times#(1(),0()) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) TRS: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) times(x,1()) -> x plus(x,0()) -> x times(x,0()) -> 0() graph: times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) -> times#(x,plus(y,1())) -> times#(1(),0()) times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) -> times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) SCC Processor: #sccs: 1 #rules: 1 #arcs: 2/4 DPs: times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) TRS: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) times(x,1()) -> x plus(x,0()) -> x times(x,0()) -> 0() Usable Rule Processor: DPs: times#(x,plus(y,1())) -> times#(x,plus(y,times(1(),0()))) TRS: times(x,0()) -> 0() plus(x,0()) -> x Semantic Labeling Processor: dimension: 1 usable rules: times(x,0()) -> 0() plus(x,0()) -> x interpretation: [plus](x0, x1) = x0 + x1, [0] = 1,
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