11.05/3.12	YES
11.05/3.12	
11.05/3.12	Problem:
11.05/3.12	 strict:
11.05/3.12	  a(b(a(x1))) -> c(c(c(x1)))
11.05/3.12	  c(c(c(x1))) -> a(c(a(x1)))
11.05/3.12	 weak:
11.05/3.12	  a(x1) -> b(c(b(x1)))
11.05/3.12	
11.05/3.12	Proof:
11.05/3.12	 Bounds Processor:
11.05/3.12	  bound: 1
11.05/3.12	  enrichment: match-rt
11.05/3.12	  automaton:
11.05/3.12	   final states: {4}
11.05/3.12	   transitions:
11.05/3.12	    c1(10) -> 11*
11.05/3.12	    c1(182) -> 183*
11.05/3.12	    c1(82) -> 83*
11.05/3.12	    c1(244) -> 245*
11.05/3.12	    c1(9) -> 10*
11.05/3.12	    c1(176) -> 177*
11.05/3.12	    c1(116) -> 117*
11.05/3.12	    c1(71) -> 72*
11.05/3.12	    c1(268) -> 269*
11.05/3.12	    c1(228) -> 229*
11.05/3.12	    c1(11) -> 12*
11.05/3.12	    c1(103) -> 104*
11.05/3.12	    c1(250) -> 251*
11.05/3.12	    c1(28) -> 29*
11.05/3.12	    c1(190) -> 191*
11.05/3.12	    a1(45) -> 46*
11.05/3.12	    a1(35) -> 36*
11.05/3.12	    a1(167) -> 168*
11.05/3.12	    a1(157) -> 158*
11.05/3.12	    a1(27) -> 28*
11.05/3.12	    a1(29) -> 30*
11.05/3.12	    a1(161) -> 162*
11.05/3.12	    a1(81) -> 82*
11.05/3.12	    a1(83) -> 84*
11.05/3.12	    a1(145) -> 146*
11.05/3.12	    b1(267) -> 268*
11.05/3.12	    b1(227) -> 228*
11.05/3.12	    b1(207) -> 208*
11.05/3.12	    b1(177) -> 178*
11.05/3.12	    b1(117) -> 118*
11.05/3.12	    b1(269) -> 270*
11.05/3.12	    b1(249) -> 250*
11.05/3.12	    b1(229) -> 230*
11.05/3.12	    b1(189) -> 190*
11.05/3.12	    b1(251) -> 252*
11.05/3.12	    b1(221) -> 222*
11.05/3.12	    b1(201) -> 202*
11.05/3.12	    b1(191) -> 192*
11.05/3.12	    b1(181) -> 182*
11.05/3.12	    b1(243) -> 244*
11.05/3.12	    b1(183) -> 184*
11.05/3.12	    b1(245) -> 246*
11.05/3.12	    b1(175) -> 176*
11.05/3.12	    b1(115) -> 116*
11.05/3.12	    a0(4) -> 4*
11.05/3.12	    b0(4) -> 4*
11.05/3.12	    c0(4) -> 4*
11.05/3.12	    4 -> 115,45,9
11.05/3.12	    9 -> 81*
11.05/3.12	    10 -> 27*
11.05/3.12	    11 -> 35*
11.05/3.12	    12 -> 82,46,4
11.05/3.12	    27 -> 207*
11.05/3.12	    28 -> 161*
11.05/3.12	    29 -> 181,71
11.05/3.12	    30 -> 29,104,72,83,11,4,10
11.05/3.12	    35 -> 175*
11.05/3.12	    36 -> 28*
11.05/3.12	    45 -> 221*
11.05/3.12	    46 -> 28*
11.05/3.12	    71 -> 145*
11.05/3.12	    72 -> 10*
11.05/3.12	    81 -> 201*
11.05/3.12	    82 -> 167*
11.05/3.12	    83 -> 189,103
11.05/3.12	    84 -> 12*
11.05/3.12	    103 -> 157*
11.05/3.12	    104 -> 10*
11.05/3.12	    118 -> 4*
11.05/3.12	    145 -> 243*
11.05/3.12	    146 -> 82*
11.05/3.12	    157 -> 227*
11.05/3.12	    158 -> 82*
11.05/3.12	    161 -> 249*
11.05/3.12	    162 -> 28*
11.05/3.12	    167 -> 267*
11.05/3.12	    168 -> 28*
11.05/3.12	    178 -> 36*
11.05/3.12	    184 -> 30*
11.05/3.12	    192 -> 84*
11.05/3.12	    202 -> 190*
11.05/3.12	    208 -> 176*
11.05/3.12	    222 -> 190*
11.05/3.12	    230 -> 158*
11.05/3.12	    246 -> 146*
11.05/3.12	    252 -> 162*
11.05/3.12	    270 -> 168*
11.05/3.12	  problem:
11.05/3.12	   strict:
11.05/3.12	    c(c(c(x1))) -> a(c(a(x1)))
11.05/3.12	   weak:
11.05/3.12	    a(x1) -> b(c(b(x1)))
11.05/3.12	  Arctic Interpretation Processor:
11.05/3.12	   dimension: 2
11.05/3.12	   interpretation:
11.05/3.12	              [1 2]  
11.05/3.12	    [c](x0) = [2 4]x0,
11.05/3.12	    
11.05/3.12	              [1  -&]  
11.05/3.12	    [b](x0) = [-& -&]x0,
11.05/3.12	    
11.05/3.12	              [3 0]  
11.05/3.12	    [a](x0) = [2 2]x0
11.05/3.12	   orientation:
11.05/3.12	                  [8  10]      [7 7]                
11.05/3.12	    c(c(c(x1))) = [10 12]x1 >= [8 8]x1 = a(c(a(x1)))
11.05/3.12	    
11.05/3.12	            [3 0]      [3  -&]                
11.05/3.12	    a(x1) = [2 2]x1 >= [-& -&]x1 = b(c(b(x1)))
11.05/3.12	   problem:
11.05/3.12	    strict:
11.05/3.12	     
11.05/3.12	    weak:
11.05/3.12	     a(x1) -> b(c(b(x1)))
11.05/3.12	   Qed
11.05/3.12	EOF