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TRS Stand 20472 pair #381711361
details
property
value
status
complete
benchmark
pair3swap.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
Endrullis_06
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
2.98522591591 seconds
cpu usage
10.393337044
max memory
8.55670784E8
stage attributes
key
value
output-size
2650
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: p(a(a(x0)),p(x1,p(a(x2),x3))) -> p(x2,p(a(a(b(x1))),p(a(a(x0)),x3))) Proof: DP Processor: DPs: p#(a(a(x0)),p(x1,p(a(x2),x3))) -> p#(a(a(x0)),x3) p#(a(a(x0)),p(x1,p(a(x2),x3))) -> p#(a(a(b(x1))),p(a(a(x0)),x3)) p#(a(a(x0)),p(x1,p(a(x2),x3))) -> p#(x2,p(a(a(b(x1))),p(a(a(x0)),x3))) TRS: p(a(a(x0)),p(x1,p(a(x2),x3))) -> p(x2,p(a(a(b(x1))),p(a(a(x0)),x3))) Subterm Criterion Processor: simple projection: pi(p) = [1,1] pi(p#) = [1,1] problem: DPs: p#(a(a(x0)),p(x1,p(a(x2),x3))) -> p#(x2,p(a(a(b(x1))),p(a(a(x0)),x3))) TRS: p(a(a(x0)),p(x1,p(a(x2),x3))) -> p(x2,p(a(a(b(x1))),p(a(a(x0)),x3))) Matrix Interpretation Processor: dim=4 usable rules: p(a(a(x0)),p(x1,p(a(x2),x3))) -> p(x2,p(a(a(b(x1))),p(a(a(x0)),x3))) interpretation: [p#](x0, x1) = [1 1 1 0]x0 + [0 1 0 0]x1 + [1], [1 0 0 0] [0 0 0 0] [b](x0) = [0 0 0 0]x0 [0 0 0 0] , [1 0 1 0] [0 0 0 1] [1 0 1 0] [0 0 0 1] [p](x0, x1) = [0 0 0 0]x0 + [0 0 0 0]x1 [1 0 1 0] [0 0 0 1] , [0 1 0 0] [0] [0 0 0 1] [0] [a](x0) = [1 1 1 0]x0 + [0] [0 0 0 0] [1] orientation: p#(a(a(x0)),p(x1,p(a(x2),x3))) = [1 2 1 2]x0 + [1 0 1 0]x1 + [1 2 1 0]x2 + [0 0 0 1]x3 + [2] >= [1 2 1 2]x0 + [1 0 0 0]x1 + [1 1 1 0]x2 + [0 0 0 1]x3 + [1] = p#(x2,p(a(a(b(x1))),p(a(a(x0)),x3))) [1 2 1 2] [1 0 1 0] [1 2 1 0] [0 0 0 1] [1 2 1 2] [1 0 0 0] [1 0 1 0] [0 0 0 1] [1 2 1 2] [1 0 1 0] [1 2 1 0] [0 0 0 1] [1 2 1 2] [1 0 0 0] [1 0 1 0] [0 0 0 1] p(a(a(x0)),p(x1,p(a(x2),x3))) = [0 0 0 0]x0 + [0 0 0 0]x1 + [0 0 0 0]x2 + [0 0 0 0]x3 >= [0 0 0 0]x0 + [0 0 0 0]x1 + [0 0 0 0]x2 + [0 0 0 0]x3 = p(x2,p(a(a(b(x1))),p(a(a(x0)),x3))) [1 2 1 2] [1 0 1 0] [1 2 1 0] [0 0 0 1] [1 2 1 2] [1 0 0 0] [1 0 1 0] [0 0 0 1] problem: DPs: TRS: p(a(a(x0)),p(x1,p(a(x2),x3))) -> p(x2,p(a(a(b(x1))),p(a(a(x0)),x3))) Qed
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