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TRS Stand 20472 pair #381711971
details
property
value
status
complete
benchmark
fac.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.24054503441 seconds
cpu usage
3.517599352
max memory
3.78740736E8
stage attributes
key
value
output-size
5453
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: plus(x,0()) -> x plus(x,s(y)) -> s(plus(x,y)) times(0(),y) -> 0() times(x,0()) -> 0() times(s(x),y) -> plus(times(x,y),y) p(s(s(x))) -> s(p(s(x))) p(s(0())) -> 0() fac(s(x)) -> times(fac(p(s(x))),s(x)) Proof: DP Processor: DPs: plus#(x,s(y)) -> plus#(x,y) times#(s(x),y) -> times#(x,y) times#(s(x),y) -> plus#(times(x,y),y) p#(s(s(x))) -> p#(s(x)) fac#(s(x)) -> p#(s(x)) fac#(s(x)) -> fac#(p(s(x))) fac#(s(x)) -> times#(fac(p(s(x))),s(x)) TRS: plus(x,0()) -> x plus(x,s(y)) -> s(plus(x,y)) times(0(),y) -> 0() times(x,0()) -> 0() times(s(x),y) -> plus(times(x,y),y) p(s(s(x))) -> s(p(s(x))) p(s(0())) -> 0() fac(s(x)) -> times(fac(p(s(x))),s(x)) TDG Processor: DPs: plus#(x,s(y)) -> plus#(x,y) times#(s(x),y) -> times#(x,y) times#(s(x),y) -> plus#(times(x,y),y) p#(s(s(x))) -> p#(s(x)) fac#(s(x)) -> p#(s(x)) fac#(s(x)) -> fac#(p(s(x))) fac#(s(x)) -> times#(fac(p(s(x))),s(x)) TRS: plus(x,0()) -> x plus(x,s(y)) -> s(plus(x,y)) times(0(),y) -> 0() times(x,0()) -> 0() times(s(x),y) -> plus(times(x,y),y) p(s(s(x))) -> s(p(s(x))) p(s(0())) -> 0() fac(s(x)) -> times(fac(p(s(x))),s(x)) graph: fac#(s(x)) -> fac#(p(s(x))) -> fac#(s(x)) -> times#(fac(p(s(x))),s(x)) fac#(s(x)) -> fac#(p(s(x))) -> fac#(s(x)) -> fac#(p(s(x))) fac#(s(x)) -> fac#(p(s(x))) -> fac#(s(x)) -> p#(s(x)) fac#(s(x)) -> p#(s(x)) -> p#(s(s(x))) -> p#(s(x)) fac#(s(x)) -> times#(fac(p(s(x))),s(x)) -> times#(s(x),y) -> plus#(times(x,y),y) fac#(s(x)) -> times#(fac(p(s(x))),s(x)) -> times#(s(x),y) -> times#(x,y) p#(s(s(x))) -> p#(s(x)) -> p#(s(s(x))) -> p#(s(x)) times#(s(x),y) -> times#(x,y) -> times#(s(x),y) -> plus#(times(x,y),y) times#(s(x),y) -> times#(x,y) -> times#(s(x),y) -> times#(x,y) times#(s(x),y) -> plus#(times(x,y),y) -> plus#(x,s(y)) -> plus#(x,y) plus#(x,s(y)) -> plus#(x,y) -> plus#(x,s(y)) -> plus#(x,y) SCC Processor: #sccs: 4 #rules: 4 #arcs: 11/49 DPs: fac#(s(x)) -> fac#(p(s(x))) TRS: plus(x,0()) -> x plus(x,s(y)) -> s(plus(x,y)) times(0(),y) -> 0() times(x,0()) -> 0() times(s(x),y) -> plus(times(x,y),y) p(s(s(x))) -> s(p(s(x))) p(s(0())) -> 0() fac(s(x)) -> times(fac(p(s(x))),s(x)) Usable Rule Processor: DPs: fac#(s(x)) -> fac#(p(s(x))) TRS: p(s(s(x))) -> s(p(s(x))) p(s(0())) -> 0() Semantic Labeling Processor: dimension: 2 usable rules: interpretation: [1 0] [1] [p](x0) = [1 0]x0 + [0],
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