/export/starexec/sandbox2/solver/bin/starexec_run_Certifiable /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES active U11 tt V1 V2 mark U12 isNat V1 V2 active U12 tt V2 mark U13 isNat V2 active U13 tt mark tt active U21 tt V1 mark U22 isNat V1 active U22 tt mark tt active U31 tt N mark N active U41 tt M N mark s plus N M active and tt X mark X active isNat 0 mark tt active isNat plus V1 V2 mark U11 and isNatKind V1 isNatKind V2 V1 V2 active isNat s V1 mark U21 isNatKind V1 V1 active isNatKind 0 mark tt active isNatKind plus V1 V2 mark and isNatKind V1 isNatKind V2 active isNatKind s V1 mark isNatKind V1 active plus N 0 mark U31 and isNat N isNatKind N N active plus N s M mark U41 and and isNat M isNatKind M and isNat N isNatKind N M N active U11 X1 X2 X3 U11 active X1 X2 X3 active U12 X1 X2 U12 active X1 X2 active U13 X U13 active X active U21 X1 X2 U21 active X1 X2 active U22 X U22 active X active U31 X1 X2 U31 active X1 X2 active U41 X1 X2 X3 U41 active X1 X2 X3 active s X s active X active plus X1 X2 plus active X1 X2 active plus X1 X2 plus X1 active X2 active and X1 X2 and active X1 X2 U11 mark X1 X2 X3 mark U11 X1 X2 X3 U12 mark X1 X2 mark U12 X1 X2 U13 mark X mark U13 X U21 mark X1 X2 mark U21 X1 X2 U22 mark X mark U22 X U31 mark X1 X2 mark U31 X1 X2 U41 mark X1 X2 X3 mark U41 X1 X2 X3 s mark X mark s X plus mark X1 X2 mark plus X1 X2 plus X1 mark X2 mark plus X1 X2 and mark X1 X2 mark and X1 X2 proper U11 X1 X2 X3 U11 proper X1 proper X2 proper X3 proper tt ok tt proper U12 X1 X2 U12 proper X1 proper X2 proper isNat X isNat proper X proper U13 X U13 proper X proper U21 X1 X2 U21 proper X1 proper X2 proper U22 X U22 proper X proper U31 X1 X2 U31 proper X1 proper X2 proper U41 X1 X2 X3 U41 proper X1 proper X2 proper X3 proper s X s proper X proper plus X1 X2 plus proper X1 proper X2 proper and X1 X2 and proper X1 proper X2 proper 0 ok 0 proper isNatKind X isNatKind proper X U11 ok X1 ok X2 ok X3 ok U11 X1 X2 X3 U12 ok X1 ok X2 ok U12 X1 X2 isNat ok X ok isNat X U13 ok X ok U13 X U21 ok X1 ok X2 ok U21 X1 X2 U22 ok X ok U22 X U31 ok X1 ok X2 ok U31 X1 X2 U41 ok X1 ok X2 ok X3 ok U41 X1 X2 X3 s ok X ok s X plus ok X1 ok X2 ok plus X1 X2 and ok X1 ok X2 ok and X1 X2 isNatKind ok X ok isNatKind X top mark X top proper X top ok X top active X 2.2 active U12 tt V2 isNat V2 active plus X1 X2 plus X1 active X2 U13 ok X U13 X isNat ok X isNat X U21 ok X1 ok X2 U21 X1 X2 active U13 X U13 active X isNatKind ok X isNatKind X U13 mark X U13 X U21 mark X1 X2 U21 X1 X2 active plus N s M isNatKind M proper U22 X proper X active s X active X active U11 tt V1 V2 U12 isNat V1 V2 active plus N s M isNat N active plus N s M U41 and and isNat M isNatKind M and isNat N isNatKind N M N U11 mark X1 X2 X3 U11 X1 X2 X3 proper isNatKind X isNatKind proper X active plus X1 X2 active X1 top mark X top proper X proper isNatKind X proper X active U31 X1 X2 active X1 active U12 X1 X2 active X1 active U31 X1 X2 U31 active X1 X2 proper U11 X1 X2 X3 U11 proper X1 proper X2 proper X3 proper U11 X1 X2 X3 proper X3 active U41 X1 X2 X3 U41 active X1 X2 X3 s mark X s X proper U11 X1 X2 X3 proper X1 proper and X1 X2 proper X2 active U21 X1 X2 active X1 U31 mark X1 X2 U31 X1 X2 proper U22 X U22 proper X active U22 X active X active U21 tt V1 isNat V1 proper plus X1 X2 proper X2 proper isNat X proper X proper U31 X1 X2 U31 proper X1 proper X2 proper U31 X1 X2 proper X2 active plus N s M isNatKind N active U41 tt M N plus N M U41 mark X1 X2 X3 U41 X1 X2 X3 proper and X1 X2 proper X1 active plus N s M isNat M proper s X proper X proper U21 X1 X2 proper X2 proper s X s proper X active U11 X1 X2 X3 active X1 active and X1 X2 active X1 plus ok X1 ok X2 plus X1 X2 active plus N s M and isNat N isNatKind N proper U21 X1 X2 proper X1 U12 ok X1 ok X2 U12 X1 X2 proper isNat X isNat proper X active isNatKind plus V1 V2 isNatKind V1 U41 ok X1 ok X2 ok X3 U41 X1 X2 X3 active U41 tt M N s plus N M active U22 X U22 active X U22 mark X U22 X active U12 X1 X2 U12 active X1 X2 proper U12 X1 X2 U12 proper X1 proper X2 active U21 tt V1 U22 isNat V1 active isNat plus V1 V2 U11 and isNatKind V1 isNatKind V2 V1 V2 active isNatKind plus V1 V2 and isNatKind V1 isNatKind V2 active plus X1 X2 plus active X1 X2 proper plus X1 X2 plus proper X1 proper X2 U22 ok X U22 X proper and X1 X2 and proper X1 proper X2 proper U41 X1 X2 X3 proper X2 plus mark X1 X2 plus X1 X2 top ok X top active X active U41 X1 X2 X3 active X1 proper U31 X1 X2 proper X1 active plus N s M and and isNat M isNatKind M and isNat N isNatKind N active plus N s M and isNat M isNatKind M active isNat plus V1 V2 isNatKind V1 active isNat s V1 U21 isNatKind V1 V1 top mark X proper X U12 mark X1 X2 U12 X1 X2 active isNatKind s V1 isNatKind V1 active isNat plus V1 V2 isNatKind V2 U31 ok X1 ok X2 U31 X1 X2 U11 ok X1 ok X2 ok X3 U11 X1 X2 X3 active isNat s V1 isNatKind V1 active U13 X active X active plus X1 X2 active X2 and mark X1 X2 and X1 X2 proper U11 X1 X2 X3 proper X2 plus X1 mark X2 plus X1 X2 active isNatKind plus V1 V2 isNatKind V2 proper U41 X1 X2 X3 proper X1 active isNat plus V1 V2 and isNatKind V1 isNatKind V2 active plus N 0 isNatKind N s ok X s X active U11 tt V1 V2 isNat V1 and ok X1 ok X2 and X1 X2 proper U21 X1 X2 U21 proper X1 proper X2 active s X s active X proper U41 X1 X2 X3 proper X3 proper U12 X1 X2 proper X2 proper U13 X U13 proper X active and X1 X2 and active X1 X2 active U12 tt V2 U13 isNat V2 active U21 X1 X2 U21 active X1 X2 top ok X active X proper U12 X1 X2 proper X1 active plus N 0 U31 and isNat N isNatKind N N active plus N 0 and isNat N isNatKind N proper U13 X proper X active plus N 0 isNat N active U11 X1 X2 X3 U11 active X1 X2 X3 proper plus X1 X2 proper X1 proper U41 X1 X2 X3 U41 proper X1 proper X2 proper X3 true top mark X top proper X top ok X top active X true isNatKind 1 1 top 1 1 proper 1 1 ok 1 1 isNat 1 1 active 1 1 active 1 1 U21 2 1 and 2 2 U21 2 2 2 1 U11 3 2 3 1 2 s 1 3 1 isNat 1 0 top 1 0 and 2 2 1 2 plus 2 0 U13 1 0 U12 2 1 1 2 U12 2 0 2 1 0 0 6 s 1 0 mark 1 0 1 proper 1 0 plus 2 4 2 1 U11 3 0 1 3 2 U31 2 2 2 1 U41 3 0 2 3 1 U22 1 0 tt 0 1 U13 1 0 1 U22 1 2 1 isNatKind 1 0 U41 3 4 2 3 1 U31 2 0 2 1 U21 2 1 0 2 0 0 U11 3 1 0 2 0 3 0 0 s 1 1 0 isNat 1 0 top 1 0 and 2 1 0 2 0 0 plus 2 0 U13 1 0 U12 2 1 0 2 0 0 U12 2 1 0 2 0 0 0 0 0 s 1 0 mark 1 1 0 proper 1 0 plus 2 1 0 2 0 0 U11 3 1 0 2 0 3 0 0 U31 2 1 0 2 0 0 U41 3 1 0 2 0 3 0 0 U22 1 0 tt 0 0 U13 1 1 0 U22 1 1 0 isNatKind 1 0 U41 3 1 0 2 0 3 0 0 U31 2 1 0 2 0 0 top ok X top active X active U12 X1 X2 U12 active X1 X2 proper and X1 X2 and proper X1 proper X2 active U21 tt V1 mark U22 isNat V1 active plus N 0 mark U31 and isNat N isNatKind N N active and tt X mark X U12 ok X1 ok X2 ok U12 X1 X2 active U11 tt V1 V2 mark U12 isNat V1 V2 active U13 tt mark tt active plus N s M mark U41 and and isNat M isNatKind M and isNat N isNatKind N M N active U22 X U22 active X plus mark X1 X2 mark plus X1 X2 active plus X1 X2 plus X1 active X2 and ok X1 ok X2 ok and X1 X2 active U13 X U13 active X U22 mark X mark U22 X active U11 X1 X2 X3 U11 active X1 X2 X3 U41 ok X1 ok X2 ok X3 ok U41 X1 X2 X3 active and X1 X2 and active X1 X2 U41 mark X1 X2 X3 mark U41 X1 X2 X3 active U31 X1 X2 U31 active X1 X2 U11 mark X1 X2 X3 mark U11 X1 X2 X3 proper U21 X1 X2 U21 proper X1 proper X2 active U22 tt mark tt U31 mark X1 X2 mark U31 X1 X2 isNatKind ok X ok isNatKind X active isNat plus V1 V2 mark U11 and isNatKind V1 isNatKind V2 V1 V2 proper U11 X1 X2 X3 U11 proper X1 proper X2 proper X3 active U41 tt M N mark s plus N M active U21 X1 X2 U21 active X1 X2 active plus X1 X2 plus active X1 X2 proper plus X1 X2 plus proper X1 proper X2 proper isNatKind X isNatKind proper X U13 mark X mark U13 X plus ok X1 ok X2 ok plus X1 X2 active isNatKind s V1 mark isNatKind V1 U13 ok X ok U13 X U21 mark X1 X2 mark U21 X1 X2 active isNatKind 0 mark tt proper U22 X U22 proper X active U41 X1 X2 X3 U41 active X1 X2 X3 active s X s active X U21 ok X1 ok X2 ok U21 X1 X2 active isNat s V1 mark U21 isNatKind V1 V1 active isNat 0 mark tt active isNatKind plus V1 V2 mark and isNatKind V1 isNatKind V2 proper 0 ok 0 proper tt ok tt isNat ok X ok isNat X U31 ok X1 ok X2 ok U31 X1 X2 active U31 tt N mark N and mark X1 X2 mark and X1 X2 s ok X ok s X U22 ok X ok U22 X proper s X s proper X U11 ok X1 ok X2 ok X3 ok U11 X1 X2 X3 proper U41 X1 X2 X3 U41 proper X1 proper X2 proper X3 plus X1 mark X2 mark plus X1 X2 proper U12 X1 X2 U12 proper X1 proper X2 proper isNat X isNat proper X proper U31 X1 X2 U31 proper X1 proper X2 s mark X mark s X U12 mark X1 X2 mark U12 X1 X2 proper U13 X U13 proper X active U12 tt V2 mark U13 isNat V2 top ok X top active X true isNatKind 1 1 0 U21 2 2 1 U11 3 2 5744 s 1 1 1 isNat 1 0 top 1 0 and 2 2 1 plus 2 0 top 1 1 0 U13 1 0 U12 2 1 1 U12 2 0 proper 1 1 2 ok 1 1 2 0 0 28805 s 1 0 mark 1 0 proper 1 0 isNat 1 1 17008 plus 2 2 0 U11 3 0 active 1 1 1 U31 2 2 19188 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 43843 U13 1 1 0 U22 1 1 41745 isNatKind 1 0 U41 3 3 1 U31 2 0 and 2 0 active U12 X1 X2 U12 active X1 X2 proper and X1 X2 and proper X1 proper X2 active U21 tt V1 mark U22 isNat V1 active plus N 0 mark U31 and isNat N isNatKind N N active and tt X mark X U12 ok X1 ok X2 ok U12 X1 X2 active U11 tt V1 V2 mark U12 isNat V1 V2 active U13 tt mark tt active plus N s M mark U41 and and isNat M isNatKind M and isNat N isNatKind N M N active U22 X U22 active X plus mark X1 X2 mark plus X1 X2 active plus X1 X2 plus X1 active X2 and ok X1 ok X2 ok and X1 X2 active U13 X U13 active X U22 mark X mark U22 X active U11 X1 X2 X3 U11 active X1 X2 X3 U41 ok X1 ok X2 ok X3 ok U41 X1 X2 X3 active and X1 X2 and active X1 X2 U41 mark X1 X2 X3 mark U41 X1 X2 X3 active U31 X1 X2 U31 active X1 X2 U11 mark X1 X2 X3 mark U11 X1 X2 X3 proper U21 X1 X2 U21 proper X1 proper X2 active U22 tt mark tt U31 mark X1 X2 mark U31 X1 X2 isNatKind ok X ok isNatKind X active isNat plus V1 V2 mark U11 and isNatKind V1 isNatKind V2 V1 V2 proper U11 X1 X2 X3 U11 proper X1 proper X2 proper X3 active U41 tt M N mark s plus N M active U21 X1 X2 U21 active X1 X2 active plus X1 X2 plus active X1 X2 proper plus X1 X2 plus proper X1 proper X2 proper isNatKind X isNatKind proper X U13 mark X mark U13 X plus ok X1 ok X2 ok plus X1 X2 active isNatKind s V1 mark isNatKind V1 U13 ok X ok U13 X U21 mark X1 X2 mark U21 X1 X2 active isNatKind 0 mark tt proper U22 X U22 proper X active U41 X1 X2 X3 U41 active X1 X2 X3 active s X s active X U21 ok X1 ok X2 ok U21 X1 X2 active isNat s V1 mark U21 isNatKind V1 V1 active isNat 0 mark tt active isNatKind plus V1 V2 mark and isNatKind V1 isNatKind V2 proper 0 ok 0 proper tt ok tt isNat ok X ok isNat X U31 ok X1 ok X2 ok U31 X1 X2 active U31 tt N mark N and mark X1 X2 mark and X1 X2 s ok X ok s X U22 ok X ok U22 X proper s X s proper X U11 ok X1 ok X2 ok X3 ok U11 X1 X2 X3 proper U41 X1 X2 X3 U41 proper X1 proper X2 proper X3 plus X1 mark X2 mark plus X1 X2 proper U12 X1 X2 U12 proper X1 proper X2 proper isNat X isNat proper X proper U31 X1 X2 U31 proper X1 proper X2 s mark X mark s X U12 mark X1 X2 mark U12 X1 X2 proper U13 X U13 proper X active U12 tt V2 mark U13 isNat V2 top ok X active X false active and X1 X2 active X1 active U11 X1 X2 X3 active X1 active U22 X active X active U21 X1 X2 active X1 active plus X1 X2 active X2 active U13 X active X active U12 X1 X2 active X1 active U31 X1 X2 active X1 active plus X1 X2 active X1 active s X active X active U41 X1 X2 X3 active X1 true isNatKind 1 0 U21 2 1 2 25786 U11 3 1 2 1 s 1 1 1 isNat 1 0 top 1 0 and 2 1 2 32306 plus 2 0 top 1 0 U13 1 0 U12 2 1 21643 U12 2 0 proper 1 1 1 ok 1 1 2 0 0 1 s 1 0 mark 1 1 0 proper 1 0 isNat 1 1 1 plus 2 1 2 6 U11 3 0 active 1 1 1 U31 2 1 20055 U41 3 0 active 1 1 0 U21 2 0 U22 1 0 tt 0 4 U13 1 1 21648 U22 1 1 25791 isNatKind 1 0 U41 3 1 3 1 U31 2 0 and 2 0 plus mark X1 X2 mark plus X1 X2 plus ok X1 ok X2 ok plus X1 X2 plus X1 mark X2 mark plus X1 X2 active U12 tt V2 U13 isNat V2 false active isNatKind plus V1 V2 and isNatKind V1 isNatKind V2 false active isNatKind plus V1 V2 isNatKind V1 false active isNatKind plus V1 V2 isNatKind V2 false active isNat s V1 U21 isNatKind V1 V1 false active isNat s V1 isNatKind V1 false active s X s active X false active U41 X1 X2 X3 U41 active X1 X2 X3 false active isNatKind s V1 isNatKind V1 false active plus X1 X2 plus active X1 X2 false active U21 X1 X2 U21 active X1 X2 false active U41 tt M N s plus N M false active U41 tt M N plus N M false active isNat plus V1 V2 U11 and isNatKind V1 isNatKind V2 V1 V2 false active isNat plus V1 V2 and isNatKind V1 isNatKind V2 false active isNat plus V1 V2 isNatKind V1 false active isNat plus V1 V2 isNatKind V2 false active U31 X1 X2 U31 active X1 X2 false active and X1 X2 and active X1 X2 false active U11 X1 X2 X3 U11 active X1 X2 X3 false active U13 X U13 active X false active U22 X U22 active X false active plus N s M U41 and and isNat M isNatKind M and isNat N isNatKind N M N false active plus N s M and and isNat M isNatKind M and isNat N isNatKind N false active plus N s M and isNat M isNatKind M false active plus N s M isNat M false active plus N s M isNatKind M false active plus N s M and isNat N isNatKind N false active plus N s M isNat N false active plus N s M isNatKind N false active U11 tt V1 V2 U12 isNat V1 V2 false active U11 tt V1 V2 isNat V1 false active plus N 0 U31 and isNat N isNatKind N N false active plus N 0 and isNat N isNatKind N false active plus N 0 isNat N false active plus N 0 isNatKind N false active U21 tt V1 U22 isNat V1 false active U21 tt V1 isNat V1 false active U12 X1 X2 U12 active X1 X2 false top mark X proper X false active plus X1 X2 plus X1 active X2 false active U12 tt V2 isNat V2 false proper plus X1 X2 proper X1 proper U13 X proper X proper U12 X1 X2 proper X1 proper U21 X1 X2 proper X1 proper U21 X1 X2 proper X2 proper s X proper X proper U12 X1 X2 proper X2 proper and X1 X2 proper X1 proper U41 X1 X2 X3 proper X3 proper U31 X1 X2 proper X2 proper isNat X proper X proper plus X1 X2 proper X2 proper U41 X1 X2 X3 proper X1 proper and X1 X2 proper X2 proper U11 X1 X2 X3 proper X2 proper U11 X1 X2 X3 proper X1 proper U11 X1 X2 X3 proper X3 proper isNatKind X proper X proper U22 X proper X proper U31 X1 X2 proper X1 proper U41 X1 X2 X3 proper X2 true isNatKind 1 1 1 U21 2 1 2 1 U11 3 1 2 3 1 s 1 1 1 isNat 1 0 top 1 0 and 2 1 2 1 plus 2 0 top 1 0 U13 1 0 U12 2 1 2 1 U12 2 0 proper 1 1 0 ok 1 1 1 0 0 21270 s 1 0 mark 1 1 0 proper 1 1 0 isNat 1 1 1 plus 2 1 2 1 U11 3 0 active 1 1 U31 2 1 2 1 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 2 U13 1 1 1 U22 1 1 1 isNatKind 1 0 U41 3 1 2 3 1 U31 2 0 and 2 0 plus mark X1 X2 mark plus X1 X2 plus ok X1 ok X2 ok plus X1 X2 plus X1 mark X2 mark plus X1 X2 proper U13 X U13 proper X false U13 mark X U13 X U13 ok X U13 X true isNatKind 1 1 1 U21 2 1 2 1 U11 3 1 2 3 1 s 1 1 1 isNat 1 0 top 1 0 and 2 1 2 1 plus 2 0 top 1 0 U13 1 1 0 U12 2 1 2 1 U12 2 0 proper 1 1 0 ok 1 1 1 0 0 1 s 1 0 mark 1 1 0 proper 1 0 isNat 1 1 1 plus 2 1 2 1 U11 3 0 active 1 1 U31 2 1 2 1 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 2 U13 1 1 43672 U22 1 1 1 isNatKind 1 0 U41 3 1 2 3 1 U31 2 0 and 2 0 U13 mark X U13 X plus mark X1 X2 mark plus X1 X2 plus ok X1 ok X2 ok plus X1 X2 plus X1 mark X2 mark plus X1 X2 U13 mark X U13 X true isNatKind 1 1 1 U21 2 1 2 1 U11 3 1 2 3 1 s 1 1 1 isNat 1 0 top 1 0 and 2 1 2 1 plus 2 0 top 1 0 U13 1 1 0 U12 2 1 2 1 U12 2 0 proper 1 1 0 ok 1 1 5609 0 0 1 s 1 0 mark 1 1 1 proper 1 0 isNat 1 1 1 plus 2 1 2 1 U11 3 0 active 1 2 U31 2 1 2 1 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 2 U13 1 1 25292 U22 1 1 1 isNatKind 1 0 U41 3 1 2 3 31088 U31 2 0 and 2 0 plus mark X1 X2 mark plus X1 X2 plus ok X1 ok X2 ok plus X1 X2 plus X1 mark X2 mark plus X1 X2 proper U31 X1 X2 U31 proper X1 proper X2 false U31 mark X1 X2 U31 X1 X2 U31 ok X1 ok X2 U31 X1 X2 true isNatKind 1 1 1 U21 2 1 2 1 U11 3 1 2 3 3901 s 1 1 28549 isNat 1 0 top 1 0 and 2 1 2 1 plus 2 0 top 1 0 U13 1 0 U12 2 1 2 1 U12 2 0 proper 1 1 0 ok 1 1 1 0 0 1 s 1 0 mark 1 1 1 proper 1 0 isNat 1 1 1 plus 2 1 2 1 U11 3 0 active 1 2 U31 2 1 2 1 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 2 U13 1 1 34933 U22 1 1 1 isNatKind 1 0 U41 3 1 2 3 1 U31 2 1 0 and 2 0 plus mark X1 X2 mark plus X1 X2 plus ok X1 ok X2 ok plus X1 X2 plus X1 mark X2 mark plus X1 X2 proper isNat X isNat proper X false isNat ok X isNat X true isNatKind 1 1 1 U21 2 2 U11 3 2 2 s 1 2 isNat 1 1 0 top 1 0 and 2 1 615 plus 2 0 top 1 0 U13 1 0 U12 2 2 U12 2 0 proper 1 1 ok 1 1 1 0 0 1 s 1 0 mark 1 3 proper 1 0 isNat 1 1 24123 plus 2 2 U11 3 0 active 1 1 U31 2 2 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 31047 U13 1 2 U22 1 2 isNatKind 1 0 U41 3 2 2 U31 2 0 and 2 0 proper U12 X1 X2 U12 proper X1 proper X2 false U12 ok X1 ok X2 U12 X1 X2 U12 mark X1 X2 U12 X1 X2 true isNatKind 1 1 1 U21 2 12974 U11 3 2 15808 s 1 1 4330 isNat 1 0 top 1 0 and 2 2 plus 2 0 top 1 0 U13 1 0 U12 2 9556 U12 2 1 0 proper 1 1 ok 1 1 1 0 0 2765 s 1 0 mark 1 1 2 proper 1 0 isNat 1 24124 plus 2 19691 U11 3 0 active 1 1 U31 2 24292 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 20540 U13 1 13779 U22 1 2526 isNatKind 1 0 U41 3 2 3 10821 U31 2 0 and 2 0 proper U41 X1 X2 X3 U41 proper X1 proper X2 proper X3 false U41 ok X1 ok X2 ok X3 U41 X1 X2 X3 U41 mark X1 X2 X3 U41 X1 X2 X3 true isNatKind 1 1 1 U21 2 2 U11 3 2 s 1 1 21653 isNat 1 0 top 1 0 and 2 2 2 plus 2 0 top 1 0 U13 1 0 U12 2 2 U12 2 0 proper 1 1 ok 1 1 1 0 0 1 s 1 0 mark 1 3 proper 1 0 isNat 1 32662 plus 2 2 U11 3 0 active 1 1 U31 2 2 U41 3 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 7885 U13 1 2 U22 1 2 isNatKind 1 0 U41 3 2 3 2 U31 2 0 and 2 0 U41 mark X1 X2 X3 U41 X1 X2 X3 isNatKind ok X ok isNatKind X U41 mark X1 X2 X3 U41 X1 X2 X3 true isNatKind 1 1 1 U21 2 0 U11 3 2 s 1 1 31848 isNat 1 0 top 1 0 and 2 2 0 plus 2 0 top 1 0 U13 1 0 U12 2 2 U12 2 0 proper 1 1 ok 1 1 8925 0 0 36624 s 1 0 mark 1 1 25322 proper 1 0 isNat 1 22740 plus 2 2 U11 3 0 active 1 1 U31 2 30144 U41 3 1 0 active 1 0 U21 2 0 U22 1 0 tt 0 0 U13 1 5437 U22 1 31633 isNatKind 1 0 U41 3 2 3 2 U31 2 0 and 2 0 isNatKind ok X ok isNatKind X proper s X s proper X false s ok X s X s mark X s X true isNatKind 1 1 1 U21 2 0 U11 3 22310 s 1 1 1 isNat 1 0 top 1 0 and 2 2 0 plus 2 0 top 1 0 U13 1 0 U12 2 13843 U12 2 0 proper 1 1 ok 1 1 2 0 0 42765 s 1 1 0 mark 1 1 25322 proper 1 0 isNat 1 22740 plus 2 2 U11 3 0 active 1 1 U31 2 44873 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 0 U13 1 2 U22 1 13801 isNatKind 1 0 U41 3 2 3 11778 U31 2 0 and 2 0 isNatKind ok X ok isNatKind X proper U22 X U22 proper X false U22 ok X U22 X U22 mark X U22 X true isNatKind 1 1 28883 U21 2 0 U11 3 17083 s 1 1 1 isNat 1 0 top 1 0 and 2 2 0 plus 2 0 top 1 0 U13 1 0 U12 2 1131 U12 2 0 proper 1 1 ok 1 1 18239 0 0 13883 s 1 0 mark 1 1 25322 proper 1 0 isNat 1 7158 plus 2 2 U11 3 0 active 1 1 U31 2 12333 U41 3 0 active 1 0 U21 2 0 U22 1 1 0 tt 0 0 U13 1 2 U22 1 16038 isNatKind 1 0 U41 3 2 3 27469 U31 2 0 and 2 0 isNatKind ok X ok isNatKind X proper isNatKind X isNatKind proper X false isNatKind ok X isNatKind X true isNatKind 1 1 1 U21 2 0 U11 3 6465 s 1 1 1 isNat 1 0 top 1 0 and 2 2 0 plus 2 0 top 1 0 U13 1 0 U12 2 2 U12 2 0 proper 1 1 ok 1 1 8092 0 0 1 s 1 0 mark 1 1 25322 proper 1 0 isNat 1 4634 plus 2 2 U11 3 0 active 1 1 U31 2 12333 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 0 U13 1 2 U22 1 27743 isNatKind 1 1 0 U41 3 2 3 2 U31 2 0 and 2 0 isNatKind ok X ok isNatKind X proper plus X1 X2 plus proper X1 proper X2 false plus ok X1 ok X2 plus X1 X2 plus X1 mark X2 plus X1 X2 plus mark X1 X2 plus X1 X2 true isNatKind 1 1 1 U21 2 0 U11 3 2 s 1 1 1 isNat 1 0 top 1 0 and 2 2 0 plus 2 2 0 top 1 0 U13 1 0 U12 2 2 U12 2 0 proper 1 1 ok 1 1 2 0 0 1 s 1 0 mark 1 1 25322 proper 1 0 isNat 1 27808 plus 2 2 U11 3 0 active 1 1 U31 2 24762 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 0 U13 1 2 U22 1 29346 isNatKind 1 0 U41 3 2 3 2 U31 2 0 and 2 0 plus mark X1 X2 plus X1 X2 isNatKind ok X ok isNatKind X plus mark X1 X2 plus X1 X2 true isNatKind 1 1 21279 U21 2 0 U11 3 5051 s 1 1 1 isNat 1 0 top 1 0 and 2 2 0 plus 2 1 0 top 1 0 U13 1 0 U12 2 2 U12 2 0 proper 1 1 ok 1 1 26158 0 0 20704 s 1 0 mark 1 1 25322 proper 1 0 isNat 1 30192 plus 2 2 U11 3 0 active 1 1 U31 2 2138 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 0 U13 1 2 U22 1 30999 isNatKind 1 0 U41 3 2 3 2 U31 2 0 and 2 0 isNatKind ok X ok isNatKind X proper U11 X1 X2 X3 U11 proper X1 proper X2 proper X3 false U11 ok X1 ok X2 ok X3 U11 X1 X2 X3 U11 mark X1 X2 X3 U11 X1 X2 X3 true isNatKind 1 1 32465 U21 2 0 U11 3 2 s 1 1 1 isNat 1 0 top 1 0 and 2 2 0 plus 2 0 top 1 0 U13 1 0 U12 2 2 U12 2 0 proper 1 1 ok 1 1 2 0 0 1 s 1 0 mark 1 2431 proper 1 0 isNat 1 22464 plus 2 2 U11 3 2 0 active 1 1 U31 2 2430 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 0 U13 1 2 U22 1 2430 isNatKind 1 0 U41 3 2 3 1948 U31 2 0 and 2 0 U11 mark X1 X2 X3 U11 X1 X2 X3 isNatKind ok X ok isNatKind X U11 mark X1 X2 X3 U11 X1 X2 X3 true isNatKind 1 1 1 U21 2 0 U11 3 25342 s 1 1 1 isNat 1 0 top 1 0 and 2 2 0 plus 2 0 top 1 0 U13 1 0 U12 2 421 U12 2 0 proper 1 1 ok 1 1 29123 0 0 1 s 1 0 mark 1 1 10120 proper 1 0 isNat 1 22464 plus 2 2 U11 3 1 0 active 1 1 U31 2 22284 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 0 U13 1 2 U22 1 27768 isNatKind 1 0 U41 3 2 3 15614 U31 2 0 and 2 0 isNatKind ok X ok isNatKind X proper U21 X1 X2 U21 proper X1 proper X2 false U21 mark X1 X2 U21 X1 X2 U21 ok X1 ok X2 U21 X1 X2 true isNatKind 1 1 1 U21 2 0 U11 3 14623 s 1 1 1 isNat 1 0 top 1 0 and 2 2 0 plus 2 0 top 1 0 U13 1 0 U12 2 2 2 U12 2 0 proper 1 1 ok 1 1 2 0 0 49249 s 1 0 mark 1 1 10120 proper 1 0 isNat 1 9765 plus 2 2 U11 3 0 active 1 1 U31 2 2 U41 3 0 active 1 0 U21 2 1 0 U22 1 0 tt 0 0 U13 1 2 U22 1 3829 isNatKind 1 0 U41 3 2 3 2 U31 2 0 and 2 0 isNatKind ok X ok isNatKind X proper and X1 X2 and proper X1 proper X2 false and ok X1 ok X2 and X1 X2 and mark X1 X2 and X1 X2 true isNatKind 1 1 26106 U21 2 0 U11 3 30352 s 1 1 1 isNat 1 0 top 1 0 and 2 2 0 plus 2 0 top 1 0 U13 1 0 U12 2 2 27366 U12 2 0 proper 1 1 ok 1 1 2 0 0 1 s 1 0 mark 1 1 10120 proper 1 0 isNat 1 9765 plus 2 2 U11 3 0 active 1 1 U31 2 2 U41 3 0 active 1 0 U21 2 0 U22 1 0 tt 0 0 U13 1 2 U22 1 2 isNatKind 1 0 U41 3 2 3 2 U31 2 0 and 2 1 2 0 isNatKind ok X ok isNatKind X NaTT certifiable-1.6