LTS Termination Proof

by T2Cert

Input

Integer Transition System

Proof

1 Invariant Updates

The following invariants are asserted.

0: arg1P ≤ 08 − arg2P ≤ 0−1 + arg5P ≤ 01 − arg5P ≤ 0arg6P ≤ 0arg6P ≤ 0arg7P ≤ 0arg7P ≤ 0arg1 ≤ 08 − arg2 ≤ 0−1 + arg5 ≤ 01 − arg5 ≤ 0arg6 ≤ 0arg6 ≤ 0arg7 ≤ 0arg7 ≤ 0
1: arg1P ≤ 010 − arg2P ≤ 0arg3P ≤ 0arg3P ≤ 0arg4P ≤ 0arg4P ≤ 0arg8P ≤ 0arg8P ≤ 0arg9P ≤ 0arg9P ≤ 0arg10P ≤ 0arg10P ≤ 0−1 + arg19P ≤ 0arg20P ≤ 0arg21P ≤ 0arg1 ≤ 010 − arg2 ≤ 0arg3 ≤ 0arg3 ≤ 0arg4 ≤ 0arg4 ≤ 0arg8 ≤ 0arg8 ≤ 0arg9 ≤ 0arg9 ≤ 0arg10 ≤ 0arg10 ≤ 0−1 + arg19 ≤ 0arg20 ≤ 0arg21 ≤ 0
2: TRUE
3: 6 − arg1P ≤ 06 − arg1 ≤ 0x24 ≤ 0
5: 1 − arg1P ≤ 0arg3P ≤ 01 − arg1 ≤ 0arg3 ≤ 0x24 ≤ 0x39 ≤ 0x49 ≤ 0
6: 1 − arg1P ≤ 06 − arg2P ≤ 01 − arg3P ≤ 05 − arg4P ≤ 01 − arg1 ≤ 06 − arg2 ≤ 01 − arg3 ≤ 05 − arg4 ≤ 0x24 ≤ 0
7: 1 − arg1P ≤ 0arg3P ≤ 01 − arg1 ≤ 0arg3 ≤ 0x24 ≤ 0x124 ≤ 0x134 ≤ 0
8: 1 − arg1P ≤ 010 − arg2P ≤ 01 − arg3P ≤ 05 − arg4P ≤ 01 − arg1 ≤ 010 − arg2 ≤ 01 − arg3 ≤ 05 − arg4 ≤ 0x24 ≤ 0x39 ≤ 0x49 ≤ 0
9: 1 − arg1P ≤ 0arg12P ≤ 0arg12P ≤ 01 − arg1 ≤ 0arg12 ≤ 0arg12 ≤ 0
10: TRUE

The invariants are proved as follows.

IMPACT Invariant Proof

2 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
5 25 5: x90 + x90 ≤ 0x90x90 ≤ 0x80 + x80 ≤ 0x80x80 ≤ 0x67 + x67 ≤ 0x67x67 ≤ 0x66 + x66 ≤ 0x66x66 ≤ 0x65 + x65 ≤ 0x65x65 ≤ 0x52 + x52 ≤ 0x52x52 ≤ 0x50 + x50 ≤ 0x50x50 ≤ 0x49 + x49 ≤ 0x49x49 ≤ 0x39 + x39 ≤ 0x39x39 ≤ 0x365 + x365 ≤ 0x365x365 ≤ 0x334 + x334 ≤ 0x334x334 ≤ 0x333 + x333 ≤ 0x333x333 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x250 + x250 ≤ 0x250x250 ≤ 0x249 + x249 ≤ 0x249x249 ≤ 0x24 + x24 ≤ 0x24x24 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x231 + x231 ≤ 0x231x231 ≤ 0x230 + x230 ≤ 0x230x230 ≤ 0x229 + x229 ≤ 0x229x229 ≤ 0x228 + x228 ≤ 0x228x228 ≤ 0x212 + x212 ≤ 0x212x212 ≤ 0x211 + x211 ≤ 0x211x211 ≤ 0x210 + x210 ≤ 0x210x210 ≤ 0x209 + x209 ≤ 0x209x209 ≤ 0x208 + x208 ≤ 0x208x208 ≤ 0x207 + x207 ≤ 0x207x207 ≤ 0x206 + x206 ≤ 0x206x206 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x134 + x134 ≤ 0x134x134 ≤ 0x124 + x124 ≤ 0x124x124 ≤ 0x122 + x122 ≤ 0x122x122 ≤ 0x121 + x121 ≤ 0x121x121 ≤ 0x112 + x112 ≤ 0x112x112 ≤ 0x101 + x101 ≤ 0x101x101 ≤ 0x100 + x100 ≤ 0x100x100 ≤ 0arg9P + arg9P ≤ 0arg9Parg9P ≤ 0arg9 + arg9 ≤ 0arg9arg9 ≤ 0arg8P + arg8P ≤ 0arg8Parg8P ≤ 0arg8 + arg8 ≤ 0arg8arg8 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg23P + arg23P ≤ 0arg23Parg23P ≤ 0arg23 + arg23 ≤ 0arg23arg23 ≤ 0arg22P + arg22P ≤ 0arg22Parg22P ≤ 0arg22 + arg22 ≤ 0arg22arg22 ≤ 0arg21P + arg21P ≤ 0arg21Parg21P ≤ 0arg21 + arg21 ≤ 0arg21arg21 ≤ 0arg20P + arg20P ≤ 0arg20Parg20P ≤ 0arg20 + arg20 ≤ 0arg20arg20 ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg19P + arg19P ≤ 0arg19Parg19P ≤ 0arg19 + arg19 ≤ 0arg19arg19 ≤ 0arg18P + arg18P ≤ 0arg18Parg18P ≤ 0arg18 + arg18 ≤ 0arg18arg18 ≤ 0arg17P + arg17P ≤ 0arg17Parg17P ≤ 0arg17 + arg17 ≤ 0arg17arg17 ≤ 0arg16P + arg16P ≤ 0arg16Parg16P ≤ 0arg16 + arg16 ≤ 0arg16arg16 ≤ 0arg15P + arg15P ≤ 0arg15Parg15P ≤ 0arg15 + arg15 ≤ 0arg15arg15 ≤ 0arg14P + arg14P ≤ 0arg14Parg14P ≤ 0arg14 + arg14 ≤ 0arg14arg14 ≤ 0arg13P + arg13P ≤ 0arg13Parg13P ≤ 0arg13 + arg13 ≤ 0arg13arg13 ≤ 0arg12P + arg12P ≤ 0arg12Parg12P ≤ 0arg12 + arg12 ≤ 0arg12arg12 ≤ 0arg11P + arg11P ≤ 0arg11Parg11P ≤ 0arg11 + arg11 ≤ 0arg11arg11 ≤ 0arg10P + arg10P ≤ 0arg10Parg10P ≤ 0arg10 + arg10 ≤ 0arg10arg10 ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0
7 32 7: x90 + x90 ≤ 0x90x90 ≤ 0x80 + x80 ≤ 0x80x80 ≤ 0x67 + x67 ≤ 0x67x67 ≤ 0x66 + x66 ≤ 0x66x66 ≤ 0x65 + x65 ≤ 0x65x65 ≤ 0x52 + x52 ≤ 0x52x52 ≤ 0x50 + x50 ≤ 0x50x50 ≤ 0x49 + x49 ≤ 0x49x49 ≤ 0x39 + x39 ≤ 0x39x39 ≤ 0x365 + x365 ≤ 0x365x365 ≤ 0x334 + x334 ≤ 0x334x334 ≤ 0x333 + x333 ≤ 0x333x333 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x250 + x250 ≤ 0x250x250 ≤ 0x249 + x249 ≤ 0x249x249 ≤ 0x24 + x24 ≤ 0x24x24 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x231 + x231 ≤ 0x231x231 ≤ 0x230 + x230 ≤ 0x230x230 ≤ 0x229 + x229 ≤ 0x229x229 ≤ 0x228 + x228 ≤ 0x228x228 ≤ 0x212 + x212 ≤ 0x212x212 ≤ 0x211 + x211 ≤ 0x211x211 ≤ 0x210 + x210 ≤ 0x210x210 ≤ 0x209 + x209 ≤ 0x209x209 ≤ 0x208 + x208 ≤ 0x208x208 ≤ 0x207 + x207 ≤ 0x207x207 ≤ 0x206 + x206 ≤ 0x206x206 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x134 + x134 ≤ 0x134x134 ≤ 0x124 + x124 ≤ 0x124x124 ≤ 0x122 + x122 ≤ 0x122x122 ≤ 0x121 + x121 ≤ 0x121x121 ≤ 0x112 + x112 ≤ 0x112x112 ≤ 0x101 + x101 ≤ 0x101x101 ≤ 0x100 + x100 ≤ 0x100x100 ≤ 0arg9P + arg9P ≤ 0arg9Parg9P ≤ 0arg9 + arg9 ≤ 0arg9arg9 ≤ 0arg8P + arg8P ≤ 0arg8Parg8P ≤ 0arg8 + arg8 ≤ 0arg8arg8 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg23P + arg23P ≤ 0arg23Parg23P ≤ 0arg23 + arg23 ≤ 0arg23arg23 ≤ 0arg22P + arg22P ≤ 0arg22Parg22P ≤ 0arg22 + arg22 ≤ 0arg22arg22 ≤ 0arg21P + arg21P ≤ 0arg21Parg21P ≤ 0arg21 + arg21 ≤ 0arg21arg21 ≤ 0arg20P + arg20P ≤ 0arg20Parg20P ≤ 0arg20 + arg20 ≤ 0arg20arg20 ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg19P + arg19P ≤ 0arg19Parg19P ≤ 0arg19 + arg19 ≤ 0arg19arg19 ≤ 0arg18P + arg18P ≤ 0arg18Parg18P ≤ 0arg18 + arg18 ≤ 0arg18arg18 ≤ 0arg17P + arg17P ≤ 0arg17Parg17P ≤ 0arg17 + arg17 ≤ 0arg17arg17 ≤ 0arg16P + arg16P ≤ 0arg16Parg16P ≤ 0arg16 + arg16 ≤ 0arg16arg16 ≤ 0arg15P + arg15P ≤ 0arg15Parg15P ≤ 0arg15 + arg15 ≤ 0arg15arg15 ≤ 0arg14P + arg14P ≤ 0arg14Parg14P ≤ 0arg14 + arg14 ≤ 0arg14arg14 ≤ 0arg13P + arg13P ≤ 0arg13Parg13P ≤ 0arg13 + arg13 ≤ 0arg13arg13 ≤ 0arg12P + arg12P ≤ 0arg12Parg12P ≤ 0arg12 + arg12 ≤ 0arg12arg12 ≤ 0arg11P + arg11P ≤ 0arg11Parg11P ≤ 0arg11 + arg11 ≤ 0arg11arg11 ≤ 0arg10P + arg10P ≤ 0arg10Parg10P ≤ 0arg10 + arg10 ≤ 0arg10arg10 ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0
9 39 9: x90 + x90 ≤ 0x90x90 ≤ 0x80 + x80 ≤ 0x80x80 ≤ 0x67 + x67 ≤ 0x67x67 ≤ 0x66 + x66 ≤ 0x66x66 ≤ 0x65 + x65 ≤ 0x65x65 ≤ 0x52 + x52 ≤ 0x52x52 ≤ 0x50 + x50 ≤ 0x50x50 ≤ 0x49 + x49 ≤ 0x49x49 ≤ 0x39 + x39 ≤ 0x39x39 ≤ 0x365 + x365 ≤ 0x365x365 ≤ 0x334 + x334 ≤ 0x334x334 ≤ 0x333 + x333 ≤ 0x333x333 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x250 + x250 ≤ 0x250x250 ≤ 0x249 + x249 ≤ 0x249x249 ≤ 0x24 + x24 ≤ 0x24x24 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x231 + x231 ≤ 0x231x231 ≤ 0x230 + x230 ≤ 0x230x230 ≤ 0x229 + x229 ≤ 0x229x229 ≤ 0x228 + x228 ≤ 0x228x228 ≤ 0x212 + x212 ≤ 0x212x212 ≤ 0x211 + x211 ≤ 0x211x211 ≤ 0x210 + x210 ≤ 0x210x210 ≤ 0x209 + x209 ≤ 0x209x209 ≤ 0x208 + x208 ≤ 0x208x208 ≤ 0x207 + x207 ≤ 0x207x207 ≤ 0x206 + x206 ≤ 0x206x206 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x134 + x134 ≤ 0x134x134 ≤ 0x124 + x124 ≤ 0x124x124 ≤ 0x122 + x122 ≤ 0x122x122 ≤ 0x121 + x121 ≤ 0x121x121 ≤ 0x112 + x112 ≤ 0x112x112 ≤ 0x101 + x101 ≤ 0x101x101 ≤ 0x100 + x100 ≤ 0x100x100 ≤ 0arg9P + arg9P ≤ 0arg9Parg9P ≤ 0arg9 + arg9 ≤ 0arg9arg9 ≤ 0arg8P + arg8P ≤ 0arg8Parg8P ≤ 0arg8 + arg8 ≤ 0arg8arg8 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg23P + arg23P ≤ 0arg23Parg23P ≤ 0arg23 + arg23 ≤ 0arg23arg23 ≤ 0arg22P + arg22P ≤ 0arg22Parg22P ≤ 0arg22 + arg22 ≤ 0arg22arg22 ≤ 0arg21P + arg21P ≤ 0arg21Parg21P ≤ 0arg21 + arg21 ≤ 0arg21arg21 ≤ 0arg20P + arg20P ≤ 0arg20Parg20P ≤ 0arg20 + arg20 ≤ 0arg20arg20 ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg19P + arg19P ≤ 0arg19Parg19P ≤ 0arg19 + arg19 ≤ 0arg19arg19 ≤ 0arg18P + arg18P ≤ 0arg18Parg18P ≤ 0arg18 + arg18 ≤ 0arg18arg18 ≤ 0arg17P + arg17P ≤ 0arg17Parg17P ≤ 0arg17 + arg17 ≤ 0arg17arg17 ≤ 0arg16P + arg16P ≤ 0arg16Parg16P ≤ 0arg16 + arg16 ≤ 0arg16arg16 ≤ 0arg15P + arg15P ≤ 0arg15Parg15P ≤ 0arg15 + arg15 ≤ 0arg15arg15 ≤ 0arg14P + arg14P ≤ 0arg14Parg14P ≤ 0arg14 + arg14 ≤ 0arg14arg14 ≤ 0arg13P + arg13P ≤ 0arg13Parg13P ≤ 0arg13 + arg13 ≤ 0arg13arg13 ≤ 0arg12P + arg12P ≤ 0arg12Parg12P ≤ 0arg12 + arg12 ≤ 0arg12arg12 ≤ 0arg11P + arg11P ≤ 0arg11Parg11P ≤ 0arg11 + arg11 ≤ 0arg11arg11 ≤ 0arg10P + arg10P ≤ 0arg10Parg10P ≤ 0arg10 + arg10 ≤ 0arg10arg10 ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0
and for every transition t, a duplicate t is considered.

3 Transition Removal

We remove transitions 0, 1, 3, 4, 10, 16, 17, 18, 19, 20, 21, 24 using the following ranking functions, which are bounded by −29.

10: 0
2: 0
3: 0
5: 0
8: 0
7: 0
6: 0
0: 0
1: 0
9: 0
10: −11
2: −12
3: −13
5: −14
5_var_snapshot: −14
5*: −14
8: −17
7: −18
7_var_snapshot: −18
7*: −18
6: −21
0: −22
1: −23
9: −24
9_var_snapshot: −24
9*: −24

4 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

5* 28 5: x90 + x90 ≤ 0x90x90 ≤ 0x80 + x80 ≤ 0x80x80 ≤ 0x67 + x67 ≤ 0x67x67 ≤ 0x66 + x66 ≤ 0x66x66 ≤ 0x65 + x65 ≤ 0x65x65 ≤ 0x52 + x52 ≤ 0x52x52 ≤ 0x50 + x50 ≤ 0x50x50 ≤ 0x49 + x49 ≤ 0x49x49 ≤ 0x39 + x39 ≤ 0x39x39 ≤ 0x365 + x365 ≤ 0x365x365 ≤ 0x334 + x334 ≤ 0x334x334 ≤ 0x333 + x333 ≤ 0x333x333 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x250 + x250 ≤ 0x250x250 ≤ 0x249 + x249 ≤ 0x249x249 ≤ 0x24 + x24 ≤ 0x24x24 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x231 + x231 ≤ 0x231x231 ≤ 0x230 + x230 ≤ 0x230x230 ≤ 0x229 + x229 ≤ 0x229x229 ≤ 0x228 + x228 ≤ 0x228x228 ≤ 0x212 + x212 ≤ 0x212x212 ≤ 0x211 + x211 ≤ 0x211x211 ≤ 0x210 + x210 ≤ 0x210x210 ≤ 0x209 + x209 ≤ 0x209x209 ≤ 0x208 + x208 ≤ 0x208x208 ≤ 0x207 + x207 ≤ 0x207x207 ≤ 0x206 + x206 ≤ 0x206x206 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x134 + x134 ≤ 0x134x134 ≤ 0x124 + x124 ≤ 0x124x124 ≤ 0x122 + x122 ≤ 0x122x122 ≤ 0x121 + x121 ≤ 0x121x121 ≤ 0x112 + x112 ≤ 0x112x112 ≤ 0x101 + x101 ≤ 0x101x101 ≤ 0x100 + x100 ≤ 0x100x100 ≤ 0arg9P + arg9P ≤ 0arg9Parg9P ≤ 0arg9 + arg9 ≤ 0arg9arg9 ≤ 0arg8P + arg8P ≤ 0arg8Parg8P ≤ 0arg8 + arg8 ≤ 0arg8arg8 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg23P + arg23P ≤ 0arg23Parg23P ≤ 0arg23 + arg23 ≤ 0arg23arg23 ≤ 0arg22P + arg22P ≤ 0arg22Parg22P ≤ 0arg22 + arg22 ≤ 0arg22arg22 ≤ 0arg21P + arg21P ≤ 0arg21Parg21P ≤ 0arg21 + arg21 ≤ 0arg21arg21 ≤ 0arg20P + arg20P ≤ 0arg20Parg20P ≤ 0arg20 + arg20 ≤ 0arg20arg20 ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg19P + arg19P ≤ 0arg19Parg19P ≤ 0arg19 + arg19 ≤ 0arg19arg19 ≤ 0arg18P + arg18P ≤ 0arg18Parg18P ≤ 0arg18 + arg18 ≤ 0arg18arg18 ≤ 0arg17P + arg17P ≤ 0arg17Parg17P ≤ 0arg17 + arg17 ≤ 0arg17arg17 ≤ 0arg16P + arg16P ≤ 0arg16Parg16P ≤ 0arg16 + arg16 ≤ 0arg16arg16 ≤ 0arg15P + arg15P ≤ 0arg15Parg15P ≤ 0arg15 + arg15 ≤ 0arg15arg15 ≤ 0arg14P + arg14P ≤ 0arg14Parg14P ≤ 0arg14 + arg14 ≤ 0arg14arg14 ≤ 0arg13P + arg13P ≤ 0arg13Parg13P ≤ 0arg13 + arg13 ≤ 0arg13arg13 ≤ 0arg12P + arg12P ≤ 0arg12Parg12P ≤ 0arg12 + arg12 ≤ 0arg12arg12 ≤ 0arg11P + arg11P ≤ 0arg11Parg11P ≤ 0arg11 + arg11 ≤ 0arg11arg11 ≤ 0arg10P + arg10P ≤ 0arg10Parg10P ≤ 0arg10 + arg10 ≤ 0arg10arg10 ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0

5 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

5 26 5_var_snapshot: x90 + x90 ≤ 0x90x90 ≤ 0x80 + x80 ≤ 0x80x80 ≤ 0x67 + x67 ≤ 0x67x67 ≤ 0x66 + x66 ≤ 0x66x66 ≤ 0x65 + x65 ≤ 0x65x65 ≤ 0x52 + x52 ≤ 0x52x52 ≤ 0x50 + x50 ≤ 0x50x50 ≤ 0x49 + x49 ≤ 0x49x49 ≤ 0x39 + x39 ≤ 0x39x39 ≤ 0x365 + x365 ≤ 0x365x365 ≤ 0x334 + x334 ≤ 0x334x334 ≤ 0x333 + x333 ≤ 0x333x333 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x250 + x250 ≤ 0x250x250 ≤ 0x249 + x249 ≤ 0x249x249 ≤ 0x24 + x24 ≤ 0x24x24 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x231 + x231 ≤ 0x231x231 ≤ 0x230 + x230 ≤ 0x230x230 ≤ 0x229 + x229 ≤ 0x229x229 ≤ 0x228 + x228 ≤ 0x228x228 ≤ 0x212 + x212 ≤ 0x212x212 ≤ 0x211 + x211 ≤ 0x211x211 ≤ 0x210 + x210 ≤ 0x210x210 ≤ 0x209 + x209 ≤ 0x209x209 ≤ 0x208 + x208 ≤ 0x208x208 ≤ 0x207 + x207 ≤ 0x207x207 ≤ 0x206 + x206 ≤ 0x206x206 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x134 + x134 ≤ 0x134x134 ≤ 0x124 + x124 ≤ 0x124x124 ≤ 0x122 + x122 ≤ 0x122x122 ≤ 0x121 + x121 ≤ 0x121x121 ≤ 0x112 + x112 ≤ 0x112x112 ≤ 0x101 + x101 ≤ 0x101x101 ≤ 0x100 + x100 ≤ 0x100x100 ≤ 0arg9P + arg9P ≤ 0arg9Parg9P ≤ 0arg9 + arg9 ≤ 0arg9arg9 ≤ 0arg8P + arg8P ≤ 0arg8Parg8P ≤ 0arg8 + arg8 ≤ 0arg8arg8 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg23P + arg23P ≤ 0arg23Parg23P ≤ 0arg23 + arg23 ≤ 0arg23arg23 ≤ 0arg22P + arg22P ≤ 0arg22Parg22P ≤ 0arg22 + arg22 ≤ 0arg22arg22 ≤ 0arg21P + arg21P ≤ 0arg21Parg21P ≤ 0arg21 + arg21 ≤ 0arg21arg21 ≤ 0arg20P + arg20P ≤ 0arg20Parg20P ≤ 0arg20 + arg20 ≤ 0arg20arg20 ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg19P + arg19P ≤ 0arg19Parg19P ≤ 0arg19 + arg19 ≤ 0arg19arg19 ≤ 0arg18P + arg18P ≤ 0arg18Parg18P ≤ 0arg18 + arg18 ≤ 0arg18arg18 ≤ 0arg17P + arg17P ≤ 0arg17Parg17P ≤ 0arg17 + arg17 ≤ 0arg17arg17 ≤ 0arg16P + arg16P ≤ 0arg16Parg16P ≤ 0arg16 + arg16 ≤ 0arg16arg16 ≤ 0arg15P + arg15P ≤ 0arg15Parg15P ≤ 0arg15 + arg15 ≤ 0arg15arg15 ≤ 0arg14P + arg14P ≤ 0arg14Parg14P ≤ 0arg14 + arg14 ≤ 0arg14arg14 ≤ 0arg13P + arg13P ≤ 0arg13Parg13P ≤ 0arg13 + arg13 ≤ 0arg13arg13 ≤ 0arg12P + arg12P ≤ 0arg12Parg12P ≤ 0arg12 + arg12 ≤ 0arg12arg12 ≤ 0arg11P + arg11P ≤ 0arg11Parg11P ≤ 0arg11 + arg11 ≤ 0arg11arg11 ≤ 0arg10P + arg10P ≤ 0arg10Parg10P ≤ 0arg10 + arg10 ≤ 0arg10arg10 ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0

6 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

7* 35 7: x90 + x90 ≤ 0x90x90 ≤ 0x80 + x80 ≤ 0x80x80 ≤ 0x67 + x67 ≤ 0x67x67 ≤ 0x66 + x66 ≤ 0x66x66 ≤ 0x65 + x65 ≤ 0x65x65 ≤ 0x52 + x52 ≤ 0x52x52 ≤ 0x50 + x50 ≤ 0x50x50 ≤ 0x49 + x49 ≤ 0x49x49 ≤ 0x39 + x39 ≤ 0x39x39 ≤ 0x365 + x365 ≤ 0x365x365 ≤ 0x334 + x334 ≤ 0x334x334 ≤ 0x333 + x333 ≤ 0x333x333 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x250 + x250 ≤ 0x250x250 ≤ 0x249 + x249 ≤ 0x249x249 ≤ 0x24 + x24 ≤ 0x24x24 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x231 + x231 ≤ 0x231x231 ≤ 0x230 + x230 ≤ 0x230x230 ≤ 0x229 + x229 ≤ 0x229x229 ≤ 0x228 + x228 ≤ 0x228x228 ≤ 0x212 + x212 ≤ 0x212x212 ≤ 0x211 + x211 ≤ 0x211x211 ≤ 0x210 + x210 ≤ 0x210x210 ≤ 0x209 + x209 ≤ 0x209x209 ≤ 0x208 + x208 ≤ 0x208x208 ≤ 0x207 + x207 ≤ 0x207x207 ≤ 0x206 + x206 ≤ 0x206x206 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x134 + x134 ≤ 0x134x134 ≤ 0x124 + x124 ≤ 0x124x124 ≤ 0x122 + x122 ≤ 0x122x122 ≤ 0x121 + x121 ≤ 0x121x121 ≤ 0x112 + x112 ≤ 0x112x112 ≤ 0x101 + x101 ≤ 0x101x101 ≤ 0x100 + x100 ≤ 0x100x100 ≤ 0arg9P + arg9P ≤ 0arg9Parg9P ≤ 0arg9 + arg9 ≤ 0arg9arg9 ≤ 0arg8P + arg8P ≤ 0arg8Parg8P ≤ 0arg8 + arg8 ≤ 0arg8arg8 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg23P + arg23P ≤ 0arg23Parg23P ≤ 0arg23 + arg23 ≤ 0arg23arg23 ≤ 0arg22P + arg22P ≤ 0arg22Parg22P ≤ 0arg22 + arg22 ≤ 0arg22arg22 ≤ 0arg21P + arg21P ≤ 0arg21Parg21P ≤ 0arg21 + arg21 ≤ 0arg21arg21 ≤ 0arg20P + arg20P ≤ 0arg20Parg20P ≤ 0arg20 + arg20 ≤ 0arg20arg20 ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg19P + arg19P ≤ 0arg19Parg19P ≤ 0arg19 + arg19 ≤ 0arg19arg19 ≤ 0arg18P + arg18P ≤ 0arg18Parg18P ≤ 0arg18 + arg18 ≤ 0arg18arg18 ≤ 0arg17P + arg17P ≤ 0arg17Parg17P ≤ 0arg17 + arg17 ≤ 0arg17arg17 ≤ 0arg16P + arg16P ≤ 0arg16Parg16P ≤ 0arg16 + arg16 ≤ 0arg16arg16 ≤ 0arg15P + arg15P ≤ 0arg15Parg15P ≤ 0arg15 + arg15 ≤ 0arg15arg15 ≤ 0arg14P + arg14P ≤ 0arg14Parg14P ≤ 0arg14 + arg14 ≤ 0arg14arg14 ≤ 0arg13P + arg13P ≤ 0arg13Parg13P ≤ 0arg13 + arg13 ≤ 0arg13arg13 ≤ 0arg12P + arg12P ≤ 0arg12Parg12P ≤ 0arg12 + arg12 ≤ 0arg12arg12 ≤ 0arg11P + arg11P ≤ 0arg11Parg11P ≤ 0arg11 + arg11 ≤ 0arg11arg11 ≤ 0arg10P + arg10P ≤ 0arg10Parg10P ≤ 0arg10 + arg10 ≤ 0arg10arg10 ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0

7 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

7 33 7_var_snapshot: x90 + x90 ≤ 0x90x90 ≤ 0x80 + x80 ≤ 0x80x80 ≤ 0x67 + x67 ≤ 0x67x67 ≤ 0x66 + x66 ≤ 0x66x66 ≤ 0x65 + x65 ≤ 0x65x65 ≤ 0x52 + x52 ≤ 0x52x52 ≤ 0x50 + x50 ≤ 0x50x50 ≤ 0x49 + x49 ≤ 0x49x49 ≤ 0x39 + x39 ≤ 0x39x39 ≤ 0x365 + x365 ≤ 0x365x365 ≤ 0x334 + x334 ≤ 0x334x334 ≤ 0x333 + x333 ≤ 0x333x333 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x250 + x250 ≤ 0x250x250 ≤ 0x249 + x249 ≤ 0x249x249 ≤ 0x24 + x24 ≤ 0x24x24 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x231 + x231 ≤ 0x231x231 ≤ 0x230 + x230 ≤ 0x230x230 ≤ 0x229 + x229 ≤ 0x229x229 ≤ 0x228 + x228 ≤ 0x228x228 ≤ 0x212 + x212 ≤ 0x212x212 ≤ 0x211 + x211 ≤ 0x211x211 ≤ 0x210 + x210 ≤ 0x210x210 ≤ 0x209 + x209 ≤ 0x209x209 ≤ 0x208 + x208 ≤ 0x208x208 ≤ 0x207 + x207 ≤ 0x207x207 ≤ 0x206 + x206 ≤ 0x206x206 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x134 + x134 ≤ 0x134x134 ≤ 0x124 + x124 ≤ 0x124x124 ≤ 0x122 + x122 ≤ 0x122x122 ≤ 0x121 + x121 ≤ 0x121x121 ≤ 0x112 + x112 ≤ 0x112x112 ≤ 0x101 + x101 ≤ 0x101x101 ≤ 0x100 + x100 ≤ 0x100x100 ≤ 0arg9P + arg9P ≤ 0arg9Parg9P ≤ 0arg9 + arg9 ≤ 0arg9arg9 ≤ 0arg8P + arg8P ≤ 0arg8Parg8P ≤ 0arg8 + arg8 ≤ 0arg8arg8 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg23P + arg23P ≤ 0arg23Parg23P ≤ 0arg23 + arg23 ≤ 0arg23arg23 ≤ 0arg22P + arg22P ≤ 0arg22Parg22P ≤ 0arg22 + arg22 ≤ 0arg22arg22 ≤ 0arg21P + arg21P ≤ 0arg21Parg21P ≤ 0arg21 + arg21 ≤ 0arg21arg21 ≤ 0arg20P + arg20P ≤ 0arg20Parg20P ≤ 0arg20 + arg20 ≤ 0arg20arg20 ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg19P + arg19P ≤ 0arg19Parg19P ≤ 0arg19 + arg19 ≤ 0arg19arg19 ≤ 0arg18P + arg18P ≤ 0arg18Parg18P ≤ 0arg18 + arg18 ≤ 0arg18arg18 ≤ 0arg17P + arg17P ≤ 0arg17Parg17P ≤ 0arg17 + arg17 ≤ 0arg17arg17 ≤ 0arg16P + arg16P ≤ 0arg16Parg16P ≤ 0arg16 + arg16 ≤ 0arg16arg16 ≤ 0arg15P + arg15P ≤ 0arg15Parg15P ≤ 0arg15 + arg15 ≤ 0arg15arg15 ≤ 0arg14P + arg14P ≤ 0arg14Parg14P ≤ 0arg14 + arg14 ≤ 0arg14arg14 ≤ 0arg13P + arg13P ≤ 0arg13Parg13P ≤ 0arg13 + arg13 ≤ 0arg13arg13 ≤ 0arg12P + arg12P ≤ 0arg12Parg12P ≤ 0arg12 + arg12 ≤ 0arg12arg12 ≤ 0arg11P + arg11P ≤ 0arg11Parg11P ≤ 0arg11 + arg11 ≤ 0arg11arg11 ≤ 0arg10P + arg10P ≤ 0arg10Parg10P ≤ 0arg10 + arg10 ≤ 0arg10arg10 ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0

8 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

9* 42 9: x90 + x90 ≤ 0x90x90 ≤ 0x80 + x80 ≤ 0x80x80 ≤ 0x67 + x67 ≤ 0x67x67 ≤ 0x66 + x66 ≤ 0x66x66 ≤ 0x65 + x65 ≤ 0x65x65 ≤ 0x52 + x52 ≤ 0x52x52 ≤ 0x50 + x50 ≤ 0x50x50 ≤ 0x49 + x49 ≤ 0x49x49 ≤ 0x39 + x39 ≤ 0x39x39 ≤ 0x365 + x365 ≤ 0x365x365 ≤ 0x334 + x334 ≤ 0x334x334 ≤ 0x333 + x333 ≤ 0x333x333 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x250 + x250 ≤ 0x250x250 ≤ 0x249 + x249 ≤ 0x249x249 ≤ 0x24 + x24 ≤ 0x24x24 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x231 + x231 ≤ 0x231x231 ≤ 0x230 + x230 ≤ 0x230x230 ≤ 0x229 + x229 ≤ 0x229x229 ≤ 0x228 + x228 ≤ 0x228x228 ≤ 0x212 + x212 ≤ 0x212x212 ≤ 0x211 + x211 ≤ 0x211x211 ≤ 0x210 + x210 ≤ 0x210x210 ≤ 0x209 + x209 ≤ 0x209x209 ≤ 0x208 + x208 ≤ 0x208x208 ≤ 0x207 + x207 ≤ 0x207x207 ≤ 0x206 + x206 ≤ 0x206x206 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x134 + x134 ≤ 0x134x134 ≤ 0x124 + x124 ≤ 0x124x124 ≤ 0x122 + x122 ≤ 0x122x122 ≤ 0x121 + x121 ≤ 0x121x121 ≤ 0x112 + x112 ≤ 0x112x112 ≤ 0x101 + x101 ≤ 0x101x101 ≤ 0x100 + x100 ≤ 0x100x100 ≤ 0arg9P + arg9P ≤ 0arg9Parg9P ≤ 0arg9 + arg9 ≤ 0arg9arg9 ≤ 0arg8P + arg8P ≤ 0arg8Parg8P ≤ 0arg8 + arg8 ≤ 0arg8arg8 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg23P + arg23P ≤ 0arg23Parg23P ≤ 0arg23 + arg23 ≤ 0arg23arg23 ≤ 0arg22P + arg22P ≤ 0arg22Parg22P ≤ 0arg22 + arg22 ≤ 0arg22arg22 ≤ 0arg21P + arg21P ≤ 0arg21Parg21P ≤ 0arg21 + arg21 ≤ 0arg21arg21 ≤ 0arg20P + arg20P ≤ 0arg20Parg20P ≤ 0arg20 + arg20 ≤ 0arg20arg20 ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg19P + arg19P ≤ 0arg19Parg19P ≤ 0arg19 + arg19 ≤ 0arg19arg19 ≤ 0arg18P + arg18P ≤ 0arg18Parg18P ≤ 0arg18 + arg18 ≤ 0arg18arg18 ≤ 0arg17P + arg17P ≤ 0arg17Parg17P ≤ 0arg17 + arg17 ≤ 0arg17arg17 ≤ 0arg16P + arg16P ≤ 0arg16Parg16P ≤ 0arg16 + arg16 ≤ 0arg16arg16 ≤ 0arg15P + arg15P ≤ 0arg15Parg15P ≤ 0arg15 + arg15 ≤ 0arg15arg15 ≤ 0arg14P + arg14P ≤ 0arg14Parg14P ≤ 0arg14 + arg14 ≤ 0arg14arg14 ≤ 0arg13P + arg13P ≤ 0arg13Parg13P ≤ 0arg13 + arg13 ≤ 0arg13arg13 ≤ 0arg12P + arg12P ≤ 0arg12Parg12P ≤ 0arg12 + arg12 ≤ 0arg12arg12 ≤ 0arg11P + arg11P ≤ 0arg11Parg11P ≤ 0arg11 + arg11 ≤ 0arg11arg11 ≤ 0arg10P + arg10P ≤ 0arg10Parg10P ≤ 0arg10 + arg10 ≤ 0arg10arg10 ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0

9 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

9 40 9_var_snapshot: x90 + x90 ≤ 0x90x90 ≤ 0x80 + x80 ≤ 0x80x80 ≤ 0x67 + x67 ≤ 0x67x67 ≤ 0x66 + x66 ≤ 0x66x66 ≤ 0x65 + x65 ≤ 0x65x65 ≤ 0x52 + x52 ≤ 0x52x52 ≤ 0x50 + x50 ≤ 0x50x50 ≤ 0x49 + x49 ≤ 0x49x49 ≤ 0x39 + x39 ≤ 0x39x39 ≤ 0x365 + x365 ≤ 0x365x365 ≤ 0x334 + x334 ≤ 0x334x334 ≤ 0x333 + x333 ≤ 0x333x333 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x250 + x250 ≤ 0x250x250 ≤ 0x249 + x249 ≤ 0x249x249 ≤ 0x24 + x24 ≤ 0x24x24 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x231 + x231 ≤ 0x231x231 ≤ 0x230 + x230 ≤ 0x230x230 ≤ 0x229 + x229 ≤ 0x229x229 ≤ 0x228 + x228 ≤ 0x228x228 ≤ 0x212 + x212 ≤ 0x212x212 ≤ 0x211 + x211 ≤ 0x211x211 ≤ 0x210 + x210 ≤ 0x210x210 ≤ 0x209 + x209 ≤ 0x209x209 ≤ 0x208 + x208 ≤ 0x208x208 ≤ 0x207 + x207 ≤ 0x207x207 ≤ 0x206 + x206 ≤ 0x206x206 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x134 + x134 ≤ 0x134x134 ≤ 0x124 + x124 ≤ 0x124x124 ≤ 0x122 + x122 ≤ 0x122x122 ≤ 0x121 + x121 ≤ 0x121x121 ≤ 0x112 + x112 ≤ 0x112x112 ≤ 0x101 + x101 ≤ 0x101x101 ≤ 0x100 + x100 ≤ 0x100x100 ≤ 0arg9P + arg9P ≤ 0arg9Parg9P ≤ 0arg9 + arg9 ≤ 0arg9arg9 ≤ 0arg8P + arg8P ≤ 0arg8Parg8P ≤ 0arg8 + arg8 ≤ 0arg8arg8 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg23P + arg23P ≤ 0arg23Parg23P ≤ 0arg23 + arg23 ≤ 0arg23arg23 ≤ 0arg22P + arg22P ≤ 0arg22Parg22P ≤ 0arg22 + arg22 ≤ 0arg22arg22 ≤ 0arg21P + arg21P ≤ 0arg21Parg21P ≤ 0arg21 + arg21 ≤ 0arg21arg21 ≤ 0arg20P + arg20P ≤ 0arg20Parg20P ≤ 0arg20 + arg20 ≤ 0arg20arg20 ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg19P + arg19P ≤ 0arg19Parg19P ≤ 0arg19 + arg19 ≤ 0arg19arg19 ≤ 0arg18P + arg18P ≤ 0arg18Parg18P ≤ 0arg18 + arg18 ≤ 0arg18arg18 ≤ 0arg17P + arg17P ≤ 0arg17Parg17P ≤ 0arg17 + arg17 ≤ 0arg17arg17 ≤ 0arg16P + arg16P ≤ 0arg16Parg16P ≤ 0arg16 + arg16 ≤ 0arg16arg16 ≤ 0arg15P + arg15P ≤ 0arg15Parg15P ≤ 0arg15 + arg15 ≤ 0arg15arg15 ≤ 0arg14P + arg14P ≤ 0arg14Parg14P ≤ 0arg14 + arg14 ≤ 0arg14arg14 ≤ 0arg13P + arg13P ≤ 0arg13Parg13P ≤ 0arg13 + arg13 ≤ 0arg13arg13 ≤ 0arg12P + arg12P ≤ 0arg12Parg12P ≤ 0arg12 + arg12 ≤ 0arg12arg12 ≤ 0arg11P + arg11P ≤ 0arg11Parg11P ≤ 0arg11 + arg11 ≤ 0arg11arg11 ≤ 0arg10P + arg10P ≤ 0arg10Parg10P ≤ 0arg10 + arg10 ≤ 0arg10arg10 ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0

10 SCC Decomposition

We consider subproblems for each of the 3 SCC(s) of the program graph.

10.1 SCC Subproblem 1/3

Here we consider the SCC { 5, 5_var_snapshot, 5* }.

10.1.1 Transition Removal

We remove transitions 5, 6, 7, 8, 9 using the following ranking functions, which are bounded by 2.

5: 1 + 3⋅arg2
5_var_snapshot: 3⋅arg2
5*: 2 + 3⋅arg2

10.1.2 Transition Removal

We remove transition 28 using the following ranking functions, which are bounded by −1.

5: 0
5_var_snapshot: −1
5*: 1

10.1.3 Transition Removal

We remove transition 26 using the following ranking functions, which are bounded by 0.

5: 1
5_var_snapshot: 0
5*: 0

10.1.4 Splitting Cut-Point Transitions

We consider 1 subproblems corresponding to sets of cut-point transitions as follows.

10.1.4.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 25.

10.1.4.1.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

10.2 SCC Subproblem 2/3

Here we consider the SCC { 7, 7_var_snapshot, 7* }.

10.2.1 Transition Removal

We remove transitions 11, 12, 13, 14, 15 using the following ranking functions, which are bounded by −1.

7: 1 − 3⋅arg2 + 3⋅arg3
7_var_snapshot: −3⋅arg2 + 3⋅arg3
7*: 2 − 3⋅arg2 + 3⋅arg3

10.2.2 Transition Removal

We remove transition 35 using the following ranking functions, which are bounded by −2.

7: −1
7_var_snapshot: −2⋅arg1
7*: 0

10.2.3 Transition Removal

We remove transition 33 using the following ranking functions, which are bounded by 0.

7: arg1
7_var_snapshot: 0
7*: 0

10.2.4 Splitting Cut-Point Transitions

We consider 1 subproblems corresponding to sets of cut-point transitions as follows.

10.2.4.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 32.

10.2.4.1.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

10.3 SCC Subproblem 3/3

Here we consider the SCC { 9, 9_var_snapshot, 9* }.

10.3.1 Transition Removal

We remove transitions 40, 42, 22, 23 using the following ranking functions, which are bounded by −1.

9: 1
9_var_snapshot: 0
9*: 2

10.3.2 Splitting Cut-Point Transitions

We consider 1 subproblems corresponding to sets of cut-point transitions as follows.

10.3.2.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 39.

10.3.2.1.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

Tool configuration

T2Cert