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SRS Relative pair #487521534
details
property
value
status
complete
benchmark
random-116.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
6.18693900108 seconds
cpu usage
23.450497833
max memory
2.097758208E9
stage attributes
key
value
output-size
2707
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: strict: b(c(a(x1))) -> a(b(a(x1))) a(a(a(x1))) -> c(c(c(x1))) a(a(a(x1))) -> a(b(a(x1))) weak: c(c(a(x1))) -> c(a(c(x1))) b(a(b(x1))) -> b(c(c(x1))) c(a(b(x1))) -> a(c(b(x1))) Proof: Arctic Interpretation Processor: dimension: 2 interpretation: [0 1 ] [c](x0) = [-& 0 ]x0, [0 0] [a](x0) = [0 1]x0, [1 1] [b](x0) = [0 0]x0 orientation: [2 3] [1 2] b(c(a(x1))) = [1 2]x1 >= [1 2]x1 = a(b(a(x1))) [1 2] [0 1 ] a(a(a(x1))) = [2 3]x1 >= [-& 0 ]x1 = c(c(c(x1))) [1 2] [1 2] a(a(a(x1))) = [2 3]x1 >= [1 2]x1 = a(b(a(x1))) [1 2] [1 2] c(c(a(x1))) = [0 1]x1 >= [0 1]x1 = c(a(c(x1))) [2 2] [1 2] b(a(b(x1))) = [1 1]x1 >= [0 1]x1 = b(c(c(x1))) [2 2] [1 1] c(a(b(x1))) = [1 1]x1 >= [1 1]x1 = a(c(b(x1))) problem: strict: b(c(a(x1))) -> a(b(a(x1))) a(a(a(x1))) -> a(b(a(x1))) weak: c(c(a(x1))) -> c(a(c(x1))) b(a(b(x1))) -> b(c(c(x1))) c(a(b(x1))) -> a(c(b(x1))) Matrix Interpretation Processor: dim=2 interpretation: [1 0] [0] [c](x0) = [0 0]x0 + [1], [1 0] [1] [a](x0) = [0 0]x0 + [0], [1 1] [b](x0) = [0 0]x0 orientation: [1 0] [2] [1 0] [2] b(c(a(x1))) = [0 0]x1 + [0] >= [0 0]x1 + [0] = a(b(a(x1))) [1 0] [3] [1 0] [2] a(a(a(x1))) = [0 0]x1 + [0] >= [0 0]x1 + [0] = a(b(a(x1))) [1 0] [1] [1 0] [1] c(c(a(x1))) = [0 0]x1 + [1] >= [0 0]x1 + [1] = c(a(c(x1))) [1 1] [1] [1 0] [1] b(a(b(x1))) = [0 0]x1 + [0] >= [0 0]x1 + [0] = b(c(c(x1))) [1 1] [1] [1 1] [1] c(a(b(x1))) = [0 0]x1 + [1] >= [0 0]x1 + [0] = a(c(b(x1))) problem: strict: b(c(a(x1))) -> a(b(a(x1))) weak: c(c(a(x1))) -> c(a(c(x1))) b(a(b(x1))) -> b(c(c(x1))) c(a(b(x1))) -> a(c(b(x1))) LPO Processor: precedence: b > c ~ a problem: strict: weak: c(c(a(x1))) -> c(a(c(x1))) c(a(b(x1))) -> a(c(b(x1))) Qed
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