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TRS Stand 20472 pair #381714222
details
property
value
status
complete
benchmark
z01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.43056797981 seconds
cpu usage
4.35094029
max memory
6.42646016E8
stage attributes
key
value
output-size
3883
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: a(f(),a(f(),a(g(),a(g(),x)))) -> a(g(),a(g(),a(g(),a(f(),a(f(),a(f(),x)))))) Proof: Extended Uncurrying Processor: application symbol: a symbol table: g ==> g0/0 g1/1 f ==> f0/0 f1/1 uncurry-rules: a(f0(),x1) -> f1(x1) a(g0(),x3) -> g1(x3) eta-rules: problem: f1(f1(g1(g1(x)))) -> g1(g1(g1(f1(f1(f1(x)))))) a(f0(),x1) -> f1(x1) a(g0(),x3) -> g1(x3) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [g1](x0) = [0 0 0]x0 [0 0 0] , [0] [g0] = [1] [0], [1 0 0] [f1](x0) = [0 0 0]x0 [0 0 0] , [0] [f0] = [0] [1], [1 0 0] [1 1 1] [1] [a](x0, x1) = [0 1 1]x0 + [1 1 1]x1 + [0] [0 0 0] [1 1 1] [0] orientation: [1 0 0] [1 0 0] f1(f1(g1(g1(x)))) = [0 0 0]x >= [0 0 0]x = g1(g1(g1(f1(f1(f1(x)))))) [0 0 0] [0 0 0] [1 1 1] [1] [1 0 0] a(f0(),x1) = [1 1 1]x1 + [1] >= [0 0 0]x1 = f1(x1) [1 1 1] [0] [0 0 0] [1 1 1] [1] [1 0 0] a(g0(),x3) = [1 1 1]x3 + [1] >= [0 0 0]x3 = g1(x3) [1 1 1] [0] [0 0 0] problem: f1(f1(g1(g1(x)))) -> g1(g1(g1(f1(f1(f1(x)))))) DP Processor: DPs: f{1,#}(f1(g1(g1(x)))) -> f{1,#}(x) f{1,#}(f1(g1(g1(x)))) -> f{1,#}(f1(x)) f{1,#}(f1(g1(g1(x)))) -> f{1,#}(f1(f1(x))) TRS: f1(f1(g1(g1(x)))) -> g1(g1(g1(f1(f1(f1(x)))))) Bounds Processor: bound: 3 enrichment: match automaton: final states: {7,5,3,1} transitions: f80() -> 2* f{1,#,0}(2) -> 1* f{1,#,0}(4) -> 3* f{1,#,0}(6) -> 5* f{1,0}(2) -> 4* f{1,0}(4) -> 6* f{1,0}(6) -> 8* g{1,0}(10) -> 7* g{1,0}(9) -> 10* g{1,0}(8) -> 9* g{1,1}(25) -> 26* g{1,1}(52) -> 53* g{1,1}(24) -> 25* g{1,1}(51) -> 52* g{1,1}(26) -> 27* g{1,1}(53) -> 54* f{1,1}(50) -> 51* f{1,1}(15) -> 16* f{1,1}(39) -> 40* f{1,1}(41) -> 42* f{1,1}(21) -> 22* f{1,1}(23) -> 24* f{1,#,1}(35) -> 36* f{1,#,1}(11) -> 12*
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