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SRS Standard pair #516968612
details
property
value
status
complete
benchmark
z067.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n079.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.48655581474 seconds
cpu usage
8.597573731
max memory
7.16038144E8
stage attributes
key
value
output-size
2966
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: P(x1) -> Q(Q(p(x1))) p(p(x1)) -> q(q(x1)) p(Q(Q(x1))) -> Q(Q(p(x1))) Q(p(q(x1))) -> q(p(Q(x1))) q(q(p(x1))) -> p(q(q(x1))) q(Q(x1)) -> x1 Q(q(x1)) -> x1 p(P(x1)) -> x1 P(p(x1)) -> x1 Proof: Matrix Interpretation Processor: dim=1 interpretation: [p](x0) = 2x0 + 1, [q](x0) = 2x0 + 1, [P](x0) = 2x0 + 1, [Q](x0) = x0 orientation: P(x1) = 2x1 + 1 >= 2x1 + 1 = Q(Q(p(x1))) p(p(x1)) = 4x1 + 3 >= 4x1 + 3 = q(q(x1)) p(Q(Q(x1))) = 2x1 + 1 >= 2x1 + 1 = Q(Q(p(x1))) Q(p(q(x1))) = 4x1 + 3 >= 4x1 + 3 = q(p(Q(x1))) q(q(p(x1))) = 8x1 + 7 >= 8x1 + 7 = p(q(q(x1))) q(Q(x1)) = 2x1 + 1 >= x1 = x1 Q(q(x1)) = 2x1 + 1 >= x1 = x1 p(P(x1)) = 4x1 + 3 >= x1 = x1 P(p(x1)) = 4x1 + 3 >= x1 = x1 problem: P(x1) -> Q(Q(p(x1))) p(p(x1)) -> q(q(x1)) p(Q(Q(x1))) -> Q(Q(p(x1))) Q(p(q(x1))) -> q(p(Q(x1))) q(q(p(x1))) -> p(q(q(x1))) String Reversal Processor: P(x1) -> p(Q(Q(x1))) p(p(x1)) -> q(q(x1)) Q(Q(p(x1))) -> p(Q(Q(x1))) q(p(Q(x1))) -> Q(p(q(x1))) p(q(q(x1))) -> q(q(p(x1))) Matrix Interpretation Processor: dim=1 interpretation: [p](x0) = 2x0, [q](x0) = 2x0, [P](x0) = 11x0 + 1, [Q](x0) = 2x0 orientation: P(x1) = 11x1 + 1 >= 8x1 = p(Q(Q(x1))) p(p(x1)) = 4x1 >= 4x1 = q(q(x1)) Q(Q(p(x1))) = 8x1 >= 8x1 = p(Q(Q(x1))) q(p(Q(x1))) = 8x1 >= 8x1 = Q(p(q(x1))) p(q(q(x1))) = 8x1 >= 8x1 = q(q(p(x1))) problem: p(p(x1)) -> q(q(x1)) Q(Q(p(x1))) -> p(Q(Q(x1))) q(p(Q(x1))) -> Q(p(q(x1))) p(q(q(x1))) -> q(q(p(x1))) Matrix Interpretation Processor: dim=1 interpretation: [p](x0) = 2x0 + 8, [q](x0) = x0, [Q](x0) = x0 orientation: p(p(x1)) = 4x1 + 24 >= x1 = q(q(x1)) Q(Q(p(x1))) = 2x1 + 8 >= 2x1 + 8 = p(Q(Q(x1))) q(p(Q(x1))) = 2x1 + 8 >= 2x1 + 8 = Q(p(q(x1)))
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