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TRS Standard pair #516965604
details
property
value
status
complete
benchmark
z08.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.456923007965 seconds
cpu usage
0.574874842
max memory
1.47410944E8
stage attributes
key
value
output-size
2373
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: f(a(),f(b(),f(a(),x))) -> f(a(),f(b(),f(b(),f(a(),x)))) f(b(),f(b(),f(b(),x))) -> f(b(),f(b(),x)) Proof: Extended Uncurrying Processor: application symbol: f symbol table: b ==> b0/0 b1/1 a ==> a0/0 a1/1 uncurry-rules: f(a0(),x1) -> a1(x1) f(b0(),x3) -> b1(x3) eta-rules: problem: a1(b1(a1(x))) -> a1(b1(b1(a1(x)))) b1(b1(b1(x))) -> b1(b1(x)) f(a0(),x1) -> a1(x1) f(b0(),x3) -> b1(x3) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [0] [a1](x0) = [0 1 0]x0 + [1] [1 0 0] [0], [0] [a0] = [0] [0], [0] [b0] = [0] [0], [1 0 0] [b1](x0) = [0 0 0]x0 [0 1 0] , [1 0 0] [1 1 1] [1] [f](x0, x1) = [0 0 0]x0 + [0 1 1]x1 + [1] [0 0 0] [1 1 0] [1] orientation: [1 1 1] [1] [1 0 1] [0] a1(b1(a1(x))) = [0 0 0]x + [1] >= [0 0 0]x + [1] = a1(b1(b1(a1(x)))) [1 0 1] [0] [1 0 1] [0] [1 0 0] [1 0 0] b1(b1(b1(x))) = [0 0 0]x >= [0 0 0]x = b1(b1(x)) [0 0 0] [0 0 0] [1 1 1] [1] [1 0 1] [0] f(a0(),x1) = [0 1 1]x1 + [1] >= [0 1 0]x1 + [1] = a1(x1) [1 1 0] [1] [1 0 0] [0] [1 1 1] [1] [1 0 0] f(b0(),x3) = [0 1 1]x3 + [1] >= [0 0 0]x3 = b1(x3) [1 1 0] [1] [0 1 0] problem: b1(b1(b1(x))) -> b1(b1(x)) Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [0] [b1](x0) = [0 0 1]x0 + [0] [0 0 0] [1] orientation: [1 1 1] [1] [1 1 1] [0] b1(b1(b1(x))) = [0 0 0]x + [1] >= [0 0 0]x + [1] = b1(b1(x)) [0 0 0] [1] [0 0 0] [1] problem: Qed
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