/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: a(c(b(x1))) -> b(a(b(a(x1)))) a(a(x1)) -> a(b(a(x1))) weak: b(x1) -> b(c(x1)) Proof: Bounds Processor: bound: 2 enrichment: match-rt automaton: final states: {4} transitions: b1(11) -> 12* b1(13) -> 14* a1(10) -> 11* a1(132) -> 133* a1(27) -> 28* a1(12) -> 13* a2(60) -> 61* a2(124) -> 125* a2(94) -> 95* a2(96) -> 97* a2(58) -> 59* b2(139) -> 140* b2(59) -> 60* b2(61) -> 62* b2(118) -> 119* b2(95) -> 96* a0(4) -> 4* c1(87) -> 88* c1(47) -> 48* c1(54) -> 55* c0(4) -> 4* c2(152) -> 153* c2(117) -> 118* c2(107) -> 108* c2(164) -> 165* c2(171) -> 172* c2(158) -> 159* c2(138) -> 139* b0(4) -> 4* 4 -> 54,10 11 -> 138,87,28 12 -> 94,59 13 -> 117,58,47,11,4,27 14 -> 11,4 28 -> 11* 48 -> 13* 55 -> 13* 59 -> 152* 61 -> 107* 62 -> 59,28 88 -> 11* 95 -> 164* 97 -> 59,11 108 -> 61* 118 -> 158,132,124 119 -> 14* 125 -> 59* 133 -> 11* 139 -> 171* 140 -> 12* 153 -> 59* 159 -> 118* 165 -> 95* 172 -> 139* problem: strict: a(a(x1)) -> a(b(a(x1))) weak: b(x1) -> b(c(x1)) String Reversal Processor: strict: a(a(x1)) -> a(b(a(x1))) weak: b(x1) -> c(b(x1)) Arctic Interpretation Processor: dimension: 2 interpretation: [1 2] [a](x0) = [3 5]x0, [0 0 ] [c](x0) = [-& -&]x0, [0 0 ] [b](x0) = [0 -&]x0 orientation: [5 7 ] [4 6] a(a(x1)) = [8 10]x1 >= [6 8]x1 = a(b(a(x1))) [0 0 ] [0 0 ] b(x1) = [0 -&]x1 >= [-& -&]x1 = c(b(x1)) problem: strict: weak: b(x1) -> c(b(x1)) Qed