src/HOL/SMT_Examples/SMT_Examples.certs2
author haftmann
Sat Jul 05 11:01:53 2014 +0200 (2014-07-05)
changeset 57514 bdc2c6b40bf2
parent 57204 7c36ce8e45f6
child 57696 fb71c6f100f8
permissions -rw-r--r--
prefer ac_simps collections over separate name bindings for add and mult
     1 3aa17d1c77bc1a92bca05df291d11d81c645a931 6 0
     2 unsat
     3 ((set-logic AUFLIA)
     4 (proof
     5 (let ((@x30 (rewrite (= (not true) false))))
     6 (mp (asserted (not true)) @x30 false))))
     7 
     8 572677daa32981bf8212986300f1362edf42a0c1 7 0
     9 unsat
    10 ((set-logic AUFLIA)
    11 (proof
    12 (let ((@x36 (monotonicity (rewrite (= (or p$ (not p$)) true)) (= (not (or p$ (not p$))) (not true)))))
    13 (let ((@x40 (trans @x36 (rewrite (= (not true) false)) (= (not (or p$ (not p$))) false))))
    14 (mp (asserted (not (or p$ (not p$)))) @x40 false)))))
    15 
    16 dfd95b23f80baacb2acdc442487bd8121f072035 9 0
    17 unsat
    18 ((set-logic AUFLIA)
    19 (proof
    20 (let ((@x36 (monotonicity (rewrite (= (and p$ true) p$)) (= (= (and p$ true) p$) (= p$ p$)))))
    21 (let ((@x40 (trans @x36 (rewrite (= (= p$ p$) true)) (= (= (and p$ true) p$) true))))
    22 (let ((@x43 (monotonicity @x40 (= (not (= (and p$ true) p$)) (not true)))))
    23 (let ((@x47 (trans @x43 (rewrite (= (not true) false)) (= (not (= (and p$ true) p$)) false))))
    24 (mp (asserted (not (= (and p$ true) p$))) @x47 false)))))))
    25 
    26 8d6b87f1242925c8eefb2ec3e8ab8eefcd64e572 13 0
    27 unsat
    28 ((set-logic AUFLIA)
    29 (proof
    30 (let (($x33 (not (=> (and (or p$ q$) (not p$)) q$))))
    31 (let (($x37 (= (=> (and (or p$ q$) (not p$)) q$) (or (not (and (or p$ q$) (not p$))) q$))))
    32 (let ((@x41 (monotonicity (rewrite $x37) (= $x33 (not (or (not (and (or p$ q$) (not p$))) q$))))))
    33 (let ((@x44 (mp (asserted $x33) @x41 (not (or (not (and (or p$ q$) (not p$))) q$)))))
    34 (let ((@x45 (and-elim (not-or-elim @x44 (and (or p$ q$) (not p$))) (not p$))))
    35 (let ((@x54 (monotonicity (iff-false @x45 (= p$ false)) (iff-false (not-or-elim @x44 (not q$)) (= q$ false)) (= (or p$ q$) (or false false)))))
    36 (let ((@x58 (trans @x54 (rewrite (= (or false false) false)) (= (or p$ q$) false))))
    37 (let (($x29 (or p$ q$)))
    38 (mp (and-elim (not-or-elim @x44 (and $x29 (not p$))) $x29) @x58 false)))))))))))
    39 
    40 a021a5fec5486f23204e54770f9c04c64baf7e25 11 0
    41 unsat
    42 ((set-logic AUFLIA)
    43 (proof
    44 (let (($x32 (and c$ d$)))
    45 (let (($x29 (and a$ b$)))
    46 (let (($x33 (or $x29 $x32)))
    47 (let (($x34 (=> $x33 $x33)))
    48 (let (($x35 (not $x34)))
    49 (let ((@x45 (trans (monotonicity (rewrite (= $x34 true)) (= $x35 (not true))) (rewrite (= (not true) false)) (= $x35 false))))
    50 (mp (asserted $x35) @x45 false)))))))))
    51 
    52 dfb7aeab4f33cdf91b335d72ad619dbd0d65fb62 23 0
    53 unsat
    54 ((set-logic AUFLIA)
    55 (proof
    56 (let (($x33 (and p1$ p3$)))
    57 (let (($x32 (and p3$ p2$)))
    58 (let (($x34 (or $x32 $x33)))
    59 (let (($x35 (=> p1$ $x34)))
    60 (let (($x36 (or $x35 p1$)))
    61 (let (($x29 (and p1$ p2$)))
    62 (let (($x31 (or $x29 p3$)))
    63 (let (($x37 (=> $x31 $x36)))
    64 (let (($x38 (not $x37)))
    65 (let (($x40 (not p1$)))
    66 (let (($x41 (or $x40 $x34)))
    67 (let (($x44 (or $x41 p1$)))
    68 (let (($x50 (not $x31)))
    69 (let (($x51 (or $x50 $x44)))
    70 (let (($x56 (not $x51)))
    71 (let ((@x67 (trans (monotonicity (rewrite (= $x51 true)) (= $x56 (not true))) (rewrite (= (not true) false)) (= $x56 false))))
    72 (let ((@x49 (monotonicity (monotonicity (rewrite (= $x35 $x41)) (= $x36 $x44)) (= $x37 (=> $x31 $x44)))))
    73 (let ((@x58 (monotonicity (trans @x49 (rewrite (= (=> $x31 $x44) $x51)) (= $x37 $x51)) (= $x38 $x56))))
    74 (mp (asserted $x38) (trans @x58 @x67 (= $x38 false)) false)))))))))))))))))))))
    75 
    76 3efca8956be216e9acda1b32436ba8f01358d35e 24 0
    77 unsat
    78 ((set-logic AUFLIA)
    79 (proof
    80 (let (($x28 (= p$ p$)))
    81 (let (($x29 (= $x28 p$)))
    82 (let (($x30 (= $x29 p$)))
    83 (let (($x31 (= $x30 p$)))
    84 (let (($x32 (= $x31 p$)))
    85 (let (($x33 (= $x32 p$)))
    86 (let (($x34 (= $x33 p$)))
    87 (let (($x35 (= $x34 p$)))
    88 (let (($x36 (= $x35 p$)))
    89 (let (($x37 (not $x36)))
    90 (let ((@x40 (rewrite (= $x28 true))))
    91 (let ((@x45 (rewrite (= (= true p$) p$))))
    92 (let ((@x47 (trans (monotonicity @x40 (= $x29 (= true p$))) @x45 (= $x29 p$))))
    93 (let ((@x53 (monotonicity (trans (monotonicity @x47 (= $x30 $x28)) @x40 (= $x30 true)) (= $x31 (= true p$)))))
    94 (let ((@x59 (trans (monotonicity (trans @x53 @x45 (= $x31 p$)) (= $x32 $x28)) @x40 (= $x32 true))))
    95 (let ((@x63 (trans (monotonicity @x59 (= $x33 (= true p$))) @x45 (= $x33 p$))))
    96 (let ((@x69 (monotonicity (trans (monotonicity @x63 (= $x34 $x28)) @x40 (= $x34 true)) (= $x35 (= true p$)))))
    97 (let ((@x75 (trans (monotonicity (trans @x69 @x45 (= $x35 p$)) (= $x36 $x28)) @x40 (= $x36 true))))
    98 (let ((@x82 (trans (monotonicity @x75 (= $x37 (not true))) (rewrite (= (not true) false)) (= $x37 false))))
    99 (mp (asserted $x37) @x82 false))))))))))))))))))))))
   100 
   101 d600888ef4325a32ff87997035fed7a7c01e4767 39 0
   102 unsat
   103 ((set-logic AUFLIA)
   104 (proof
   105 (let (($x100 (not d$)))
   106 (let (($x45 (not c$)))
   107 (let (($x112 (or p$ (and q$ (not q$)))))
   108 (let (($x113 (and (not p$) $x112)))
   109 (let (($x114 (or c$ $x113)))
   110 (let (($x115 (not $x114)))
   111 (let ((@x121 (monotonicity (rewrite (= (and q$ (not q$)) false)) (= $x112 (or p$ false)))))
   112 (let ((@x128 (monotonicity (trans @x121 (rewrite (= (or p$ false) p$)) (= $x112 p$)) (= $x113 (and (not p$) p$)))))
   113 (let ((@x132 (trans @x128 (rewrite (= (and (not p$) p$) false)) (= $x113 false))))
   114 (let ((@x139 (trans (monotonicity @x132 (= $x114 (or c$ false))) (rewrite (= (or c$ false) c$)) (= $x114 c$))))
   115 (let ((@x153 (iff-false (mp (asserted $x115) (monotonicity @x139 (= $x115 $x45)) $x45) (= c$ false))))
   116 (let ((@x147 (trans (monotonicity @x153 (= (or $x100 c$) (or $x100 false))) (rewrite (= (or $x100 false) $x100)) (= (or $x100 c$) $x100))))
   117 (let (($x103 (or $x100 c$)))
   118 (let ((@x102 (monotonicity (rewrite (= (or d$ false) d$)) (= (not (or d$ false)) $x100))))
   119 (let ((@x108 (mp (asserted (or (not (or d$ false)) c$)) (monotonicity @x102 (= (or (not (or d$ false)) c$) $x103)) $x103)))
   120 (let (($x87 (not b$)))
   121 (let ((@x164 (trans (monotonicity @x153 (= (or $x87 c$) (or $x87 false))) (rewrite (= (or $x87 false) $x87)) (= (or $x87 c$) $x87))))
   122 (let (($x90 (or $x87 c$)))
   123 (let ((@x82 (monotonicity (rewrite (= (or x$ (not x$)) true)) (= (and b$ (or x$ (not x$))) (and b$ true)))))
   124 (let ((@x86 (trans @x82 (rewrite (= (and b$ true) b$)) (= (and b$ (or x$ (not x$))) b$))))
   125 (let ((@x92 (monotonicity (monotonicity @x86 (= (not (and b$ (or x$ (not x$)))) $x87)) (= (or (not (and b$ (or x$ (not x$)))) c$) $x90))))
   126 (let ((@x95 (mp (asserted (or (not (and b$ (or x$ (not x$)))) c$)) @x92 $x90)))
   127 (let (($x64 (not a$)))
   128 (let ((@x170 (monotonicity (iff-false (mp @x95 @x164 $x87) (= b$ false)) (= (or $x64 b$) (or $x64 false)))))
   129 (let ((@x174 (trans @x170 (rewrite (= (or $x64 false) $x64)) (= (or $x64 b$) $x64))))
   130 (let (($x67 (or $x64 b$)))
   131 (let ((@x59 (monotonicity (rewrite (= (and c$ $x45) false)) (= (or a$ (and c$ $x45)) (or a$ false)))))
   132 (let ((@x63 (trans @x59 (rewrite (= (or a$ false) a$)) (= (or a$ (and c$ $x45)) a$))))
   133 (let ((@x69 (monotonicity (monotonicity @x63 (= (not (or a$ (and c$ $x45))) $x64)) (= (or (not (or a$ (and c$ $x45))) b$) $x67))))
   134 (let ((@x175 (mp (mp (asserted (or (not (or a$ (and c$ $x45))) b$)) @x69 $x67) @x174 $x64)))
   135 (let ((@x198 (monotonicity (iff-false @x175 (= a$ false)) (iff-false (mp @x95 @x164 $x87) (= b$ false)) @x153 (iff-false (mp @x108 @x147 $x100) (= d$ false)) (= (or a$ b$ c$ d$) (or false false false false)))))
   136 (let ((@x202 (trans @x198 (rewrite (= (or false false false false) false)) (= (or a$ b$ c$ d$) false))))
   137 (let (($x37 (or a$ b$ c$ d$)))
   138 (let ((@x40 (mp (asserted (or a$ (or b$ (or c$ d$)))) (rewrite (= (or a$ (or b$ (or c$ d$))) $x37)) $x37)))
   139 (mp @x40 @x202 false)))))))))))))))))))))))))))))))))))))
   140 
   141 143f46ba7acb4b0a8f67b0de474b0a249f30985b 27 0
   142 unsat
   143 ((set-logic AUFLIA)
   144 (proof
   145 (let ((?x38 (symm_f$ b$ a$)))
   146 (let ((?x37 (symm_f$ a$ b$)))
   147 (let (($x39 (= ?x37 ?x38)))
   148 (let (($x52 (not $x39)))
   149 (let ((@x47 (monotonicity (rewrite (= (= a$ a$) true)) (= (and (= a$ a$) $x39) (and true $x39)))))
   150 (let ((@x51 (trans @x47 (rewrite (= (and true $x39) $x39)) (= (and (= a$ a$) $x39) $x39))))
   151 (let ((@x57 (mp (asserted (not (and (= a$ a$) $x39))) (monotonicity @x51 (= (not (and (= a$ a$) $x39)) $x52)) $x52)))
   152 (let (($x480 (forall ((?v0 A$) (?v1 A$) )(!(let ((?x30 (symm_f$ ?v1 ?v0)))
   153 (let ((?x29 (symm_f$ ?v0 ?v1)))
   154 (= ?x29 ?x30))) :pattern ( (symm_f$ ?v0 ?v1) ) :pattern ( (symm_f$ ?v1 ?v0) )))
   155 ))
   156 (let (($x32 (forall ((?v0 A$) (?v1 A$) )(let ((?x30 (symm_f$ ?v1 ?v0)))
   157 (let ((?x29 (symm_f$ ?v0 ?v1)))
   158 (= ?x29 ?x30))))
   159 ))
   160 (let ((?x30 (symm_f$ ?0 ?1)))
   161 (let ((?x29 (symm_f$ ?1 ?0)))
   162 (let (($x31 (= ?x29 ?x30)))
   163 (let ((@x60 (mp~ (asserted $x32) (nnf-pos (refl (~ $x31 $x31)) (~ $x32 $x32)) $x32)))
   164 (let ((@x485 (mp @x60 (quant-intro (refl (= $x31 $x31)) (= $x32 $x480)) $x480)))
   165 (let (($x149 (or (not $x480) $x39)))
   166 (let ((@x61 ((_ quant-inst a$ b$) $x149)))
   167 (unit-resolution @x61 @x485 @x57 false)))))))))))))))))))
   168 
   169 a6dd135a0c109f49b36d7266dc7a6becc640e496 637 0
   170 unsat
   171 ((set-logic AUFLIA)
   172 (proof
   173 (let (($x397 (not x38$)))
   174 (let (($x553 (not x51$)))
   175 (let (($x657 (not x25$)))
   176 (let (($x610 (not x56$)))
   177 (let (($x538 (not x17$)))
   178 (let ((@x897 (hypothesis $x538)))
   179 (let (($x482 (not x45$)))
   180 (let (($x609 (not x22$)))
   181 (let (($x453 (not x11$)))
   182 (let ((@x815 (hypothesis $x453)))
   183 (let (($x667 (not x27$)))
   184 (let (($x638 (not x58$)))
   185 (let (($x567 (not x52$)))
   186 (let ((@x756 (hypothesis $x567)))
   187 (let (($x509 (not x47$)))
   188 (let (($x637 (not x24$)))
   189 (let (($x566 (not x19$)))
   190 (let (($x294 (or x24$ x53$)))
   191 (let ((@x774 (monotonicity (iff-false (asserted (not x59$)) (= x59$ false)) (= (or x59$ x24$ x53$) (or false x24$ x53$)))))
   192 (let ((@x778 (trans @x774 (rewrite (= (or false x24$ x53$) $x294)) (= (or x59$ x24$ x53$) $x294))))
   193 (let (($x303 (or x59$ x24$ x53$)))
   194 (let ((@x306 (mp (asserted (or x59$ $x294)) (rewrite (= (or x59$ $x294) $x303)) $x303)))
   195 (let ((@x779 (mp @x306 @x778 $x294)))
   196 (let ((@x1181 (unit-resolution @x779 (unit-resolution (asserted (or $x637 $x638)) (hypothesis x58$) $x637) x53$)))
   197 (let (($x580 (not x53$)))
   198 (let (($x581 (or $x580 $x566)))
   199 (let ((@x582 (asserted $x581)))
   200 (let ((@x1182 (unit-resolution @x582 @x1181 $x566)))
   201 (let (($x496 (not x46$)))
   202 (let (($x583 (or $x580 $x509)))
   203 (let ((@x584 (asserted $x583)))
   204 (let ((@x1183 (unit-resolution @x584 @x1181 $x509)))
   205 (let (($x438 (not x41$)))
   206 (let (($x363 (not x4$)))
   207 (let (($x347 (not x2$)))
   208 (let (($x336 (not x31$)))
   209 (let (($x623 (not x23$)))
   210 (let (($x645 (or $x638 $x623)))
   211 (let ((@x646 (asserted $x645)))
   212 (let ((@x974 (hypothesis $x509)))
   213 (let ((@x757 (hypothesis $x566)))
   214 (let ((@x853 (hypothesis $x397)))
   215 (let (($x410 (not x8$)))
   216 (let (($x355 (not x3$)))
   217 (let (($x467 (not x12$)))
   218 (let ((@x882 (hypothesis $x467)))
   219 (let ((@x845 (hypothesis $x347)))
   220 (let (($x356 (not x33$)))
   221 (let (($x481 (not x13$)))
   222 (let (($x424 (not x9$)))
   223 (let ((@x728 (hypothesis x41$)))
   224 (let (($x439 (or $x438 $x424)))
   225 (let ((@x440 (asserted $x439)))
   226 (let ((@x922 (unit-resolution @x440 @x728 $x424)))
   227 (let (($x364 (not x34$)))
   228 (let (($x72 (or x35$ x4$)))
   229 (let ((@x77 (asserted $x72)))
   230 (let ((@x994 (unit-resolution @x77 (unit-resolution (asserted (or $x438 (not x35$))) @x728 (not x35$)) x4$)))
   231 (let (($x365 (or $x363 $x364)))
   232 (let ((@x366 (asserted $x365)))
   233 (let ((@x999 (unit-resolution @x366 @x994 $x364)))
   234 (let (($x396 (not x7$)))
   235 (let (($x414 (or $x410 $x396)))
   236 (let ((@x415 (asserted $x414)))
   237 (let (($x348 (not x32$)))
   238 (let ((@x942 (hypothesis $x355)))
   239 (let (($x64 (or x3$ x33$ x2$)))
   240 (let ((@x67 (mp (asserted (or x3$ (or x33$ x2$))) (rewrite (= (or x3$ (or x33$ x2$)) $x64)) $x64)))
   241 (let ((@x1048 (unit-resolution @x67 (unit-resolution (asserted (or $x410 $x356)) (hypothesis x8$) $x356) @x942 x2$)))
   242 (let (($x349 (or $x347 $x348)))
   243 (let ((@x350 (asserted $x349)))
   244 (let (($x105 (or x7$ x38$ x6$ x32$)))
   245 (let ((@x108 (mp (asserted (or x7$ (or x38$ (or x6$ x32$)))) (rewrite (= (or x7$ (or x38$ (or x6$ x32$))) $x105)) $x105)))
   246 (let ((@x842 (unit-resolution @x108 (unit-resolution @x350 @x1048 $x348) (unit-resolution @x415 (hypothesis x8$) $x396) @x853 x6$)))
   247 (let (($x701 (or x1$ x31$)))
   248 (let ((@x700 (monotonicity (iff-false (asserted (not x0$)) (= x0$ false)) (= (or x1$ x31$ x0$) (or x1$ x31$ false)))))
   249 (let ((@x705 (trans @x700 (rewrite (= (or x1$ x31$ false) $x701)) (= (or x1$ x31$ x0$) $x701))))
   250 (let (($x46 (or x1$ x31$ x0$)))
   251 (let ((@x49 (mp (asserted (or x1$ (or x31$ x0$))) (rewrite (= (or x1$ (or x31$ x0$)) $x46)) $x46)))
   252 (let ((@x706 (mp @x49 @x705 $x701)))
   253 (let ((@x1002 (unit-resolution @x706 (unit-resolution (asserted (or $x347 (not x1$))) @x1048 (not x1$)) x31$)))
   254 (let (($x382 (not x6$)))
   255 (let (($x388 (or $x382 $x336)))
   256 (let ((@x389 (asserted $x388)))
   257 (let ((@x1011 (lemma (unit-resolution @x389 @x1002 @x842 false) (or $x410 x38$ x3$))))
   258 (let ((@x952 (unit-resolution @x1011 (unit-resolution (asserted (or $x363 $x355)) @x994 $x355) @x853 $x410)))
   259 (let (($x125 (or x9$ x40$ x8$ x34$)))
   260 (let ((@x128 (mp (asserted (or x9$ (or x40$ (or x8$ x34$)))) (rewrite (= (or x9$ (or x40$ (or x8$ x34$))) $x125)) $x125)))
   261 (let (($x425 (not x40$)))
   262 (let (($x505 (or $x496 $x425)))
   263 (let ((@x506 (asserted $x505)))
   264 (let ((@x868 (unit-resolution @x506 (unit-resolution @x128 @x952 @x999 @x922 x40$) $x496)))
   265 (let (($x239 (or x19$ x52$ x18$ x46$)))
   266 (let ((@x242 (mp (asserted (or x19$ (or x52$ (or x18$ x46$)))) (rewrite (= (or x19$ (or x52$ (or x18$ x46$))) $x239)) $x239)))
   267 (let (($x411 (not x39$)))
   268 (let ((@x992 (unit-resolution @x67 (unit-resolution (asserted (or $x363 $x355)) @x994 $x355) @x845 x33$)))
   269 (let (($x420 (or $x411 $x356)))
   270 (let ((@x421 (asserted $x420)))
   271 (let (($x507 (or $x481 $x425)))
   272 (let ((@x508 (asserted $x507)))
   273 (let ((@x1036 (unit-resolution @x508 (unit-resolution @x128 @x952 @x999 @x922 x40$) $x481)))
   274 (let (($x172 (or x13$ x45$ x12$ x39$)))
   275 (let ((@x175 (mp (asserted (or x13$ (or x45$ (or x12$ x39$)))) (rewrite (= (or x13$ (or x45$ (or x12$ x39$))) $x172)) $x172)))
   276 (let ((@x1037 (unit-resolution @x175 @x1036 @x882 (unit-resolution @x421 @x992 $x411) x45$)))
   277 (let (($x552 (not x18$)))
   278 (let (($x558 (or $x552 $x482)))
   279 (let ((@x559 (asserted $x558)))
   280 (let ((@x1080 (unit-resolution @x559 @x1037 (unit-resolution @x242 @x868 @x757 @x756 x18$) false)))
   281 (let ((@x1051 (unit-resolution (lemma @x1080 (or $x438 x12$ x19$ x52$ x2$ x38$)) @x845 @x757 @x756 @x882 @x853 $x438)))
   282 (let (($x190 (or x47$ x14$ x41$)))
   283 (let ((@x193 (mp (asserted (or x47$ (or x14$ x41$))) (rewrite (= (or x47$ (or x14$ x41$)) $x190)) $x190)))
   284 (let ((@x732 (unit-resolution @x193 @x1051 @x974 x14$)))
   285 (let (($x495 (not x14$)))
   286 (let (($x499 (or $x495 $x481)))
   287 (let ((@x500 (asserted $x499)))
   288 (let ((@x941 (unit-resolution @x242 (unit-resolution (asserted (or $x495 $x496)) @x732 $x496) @x757 @x756 x18$)))
   289 (let ((@x991 (unit-resolution @x175 (unit-resolution @x559 @x941 $x482) @x882 (unit-resolution @x500 @x732 $x481) x39$)))
   290 (let (($x367 (or $x363 $x355)))
   291 (let ((@x368 (asserted $x367)))
   292 (let ((@x980 (unit-resolution @x368 (unit-resolution @x67 (unit-resolution @x421 @x991 $x356) @x845 x3$) $x363)))
   293 (let (($x369 (or $x364 $x355)))
   294 (let ((@x370 (asserted $x369)))
   295 (let ((@x878 (unit-resolution @x370 (unit-resolution @x67 (unit-resolution @x421 @x991 $x356) @x845 x3$) $x364)))
   296 (let ((@x879 (unit-resolution @x128 @x878 (unit-resolution (asserted (or $x495 $x425)) @x732 $x425) (unit-resolution (asserted (or $x410 $x411)) @x991 $x410) x9$)))
   297 (let (($x371 (not x35$)))
   298 (let (($x443 (or $x424 $x371)))
   299 (let ((@x444 (asserted $x443)))
   300 (let ((@x912 (lemma (unit-resolution @x444 @x879 (unit-resolution @x77 @x980 x35$) false) (or x2$ x12$ x19$ x52$ x47$ x38$))))
   301 (let ((@x1091 (unit-resolution @x912 @x882 @x757 @x756 @x974 @x853 x2$)))
   302 (let (($x359 (or $x355 $x347)))
   303 (let ((@x360 (asserted $x359)))
   304 (let ((@x784 (unit-resolution @x706 (unit-resolution (asserted (or $x347 (not x1$))) @x1091 (not x1$)) x31$)))
   305 (let ((@x808 (unit-resolution @x108 (unit-resolution @x389 @x784 $x382) (unit-resolution @x350 @x1091 $x348) @x853 x7$)))
   306 (let (($x418 (or $x411 $x396)))
   307 (let ((@x419 (asserted $x418)))
   308 (let ((@x913 (hypothesis $x410)))
   309 (let ((@x931 (unit-resolution @x193 (unit-resolution @x500 (hypothesis x13$) $x495) @x974 x41$)))
   310 (let ((@x867 (unit-resolution @x128 (unit-resolution @x440 @x931 $x424) (unit-resolution @x508 (hypothesis x13$) $x425) @x913 x34$)))
   311 (let ((@x917 (unit-resolution @x77 (unit-resolution (asserted (or $x438 $x371)) @x931 $x371) x4$)))
   312 (let ((@x1090 (lemma (unit-resolution @x366 @x917 @x867 false) (or $x481 x8$ x47$))))
   313 (let ((@x1056 (unit-resolution @x1090 (unit-resolution @x1011 (unit-resolution @x360 @x1091 $x355) @x853 $x410) @x974 $x481)))
   314 (let ((@x1057 (unit-resolution @x175 @x1056 @x882 (unit-resolution @x419 @x808 $x411) x45$)))
   315 (let ((@x937 (unit-resolution @x242 (unit-resolution @x559 @x1057 $x552) @x757 @x756 x46$)))
   316 (let ((@x884 (unit-resolution @x193 (unit-resolution (asserted (or $x495 $x496)) @x937 $x495) @x974 x41$)))
   317 (let ((@x800 (unit-resolution @x128 (unit-resolution @x440 @x884 $x424) (unit-resolution @x506 @x937 $x425) (unit-resolution @x1011 (unit-resolution @x360 @x1091 $x355) @x853 $x410) x34$)))
   318 (let ((@x864 (unit-resolution @x77 (unit-resolution (asserted (or $x438 $x371)) @x884 $x371) x4$)))
   319 (let ((@x1089 (lemma (unit-resolution @x366 @x864 @x800 false) (or x12$ x47$ x19$ x52$ x38$))))
   320 (let ((@x1116 (unit-resolution @x1089 @x853 @x757 @x756 @x974 x12$)))
   321 (let (($x489 (or $x482 $x467)))
   322 (let ((@x490 (asserted $x489)))
   323 (let (($x539 (not x50$)))
   324 (let (($x619 (or $x610 $x539)))
   325 (let ((@x620 (asserted $x619)))
   326 (let ((@x1058 (unit-resolution @x620 (hypothesis x56$) $x539)))
   327 (let (($x524 (not x16$)))
   328 (let (($x587 (not x20$)))
   329 (let ((@x896 (hypothesis $x539)))
   330 (let (($x517 (not x48$)))
   331 (let ((@x841 (hypothesis $x517)))
   332 (let ((@x989 (unit-resolution @x193 (unit-resolution (asserted (or $x495 $x496)) (hypothesis x46$) $x495) @x974 x41$)))
   333 (let (($x441 (or $x438 $x371)))
   334 (let ((@x442 (asserted $x441)))
   335 (let ((@x838 (unit-resolution @x368 (unit-resolution @x77 (unit-resolution @x442 @x989 $x371) x4$) $x355)))
   336 (let ((@x1053 (unit-resolution @x366 (unit-resolution @x77 (unit-resolution @x442 @x989 $x371) x4$) $x364)))
   337 (let ((@x862 (unit-resolution @x128 @x1053 (unit-resolution @x440 @x989 $x424) (unit-resolution @x506 (hypothesis x46$) $x425) x8$)))
   338 (let (($x416 (or $x410 $x356)))
   339 (let ((@x417 (asserted $x416)))
   340 (let ((@x987 (unit-resolution @x350 (unit-resolution @x67 (unit-resolution @x417 @x862 $x356) @x838 x2$) $x348)))
   341 (let (($x335 (not x1$)))
   342 (let (($x351 (or $x347 $x335)))
   343 (let ((@x352 (asserted $x351)))
   344 (let ((@x935 (unit-resolution @x352 (unit-resolution @x67 (unit-resolution @x417 @x862 $x356) @x838 x2$) $x335)))
   345 (let ((@x746 (unit-resolution @x706 @x935 x31$)))
   346 (let ((@x1060 (unit-resolution @x108 (unit-resolution @x389 @x746 $x382) (unit-resolution @x415 @x862 $x396) @x987 x38$)))
   347 (let (($x479 (or $x453 $x397)))
   348 (let ((@x480 (asserted $x479)))
   349 (let (($x445 (not x10$)))
   350 (let (($x720 (or x5$ x36$)))
   351 (let ((@x719 (monotonicity (iff-false (asserted (not x30$)) (= x30$ false)) (= (or x5$ x36$ x30$) (or x5$ x36$ false)))))
   352 (let ((@x724 (trans @x719 (rewrite (= (or x5$ x36$ false) $x720)) (= (or x5$ x36$ x30$) $x720))))
   353 (let (($x85 (or x5$ x36$ x30$)))
   354 (let ((@x88 (mp (asserted (or x5$ (or x36$ x30$))) (rewrite (= (or x5$ (or x36$ x30$)) $x85)) $x85)))
   355 (let ((@x725 (mp @x88 @x724 $x720)))
   356 (let ((@x810 (unit-resolution @x725 (unit-resolution (asserted (or (not x5$) $x336)) @x746 (not x5$)) x36$)))
   357 (let (($x375 (not x36$)))
   358 (let (($x449 (or $x445 $x375)))
   359 (let ((@x450 (asserted $x449)))
   360 (let (($x152 (or x11$ x43$ x10$ x37$)))
   361 (let ((@x155 (mp (asserted (or x11$ (or x43$ (or x10$ x37$)))) (rewrite (= (or x11$ (or x43$ (or x10$ x37$))) $x152)) $x152)))
   362 (let ((@x840 (unit-resolution @x155 (unit-resolution @x450 @x810 $x445) (unit-resolution (asserted (or (not x37$) $x336)) @x746 (not x37$)) (unit-resolution @x480 @x1060 $x453) x43$)))
   363 (let (($x199 (or x15$ x48$ x42$)))
   364 (let ((@x202 (mp (asserted (or x15$ (or x48$ x42$))) (rewrite (= (or x15$ (or x48$ x42$)) $x199)) $x199)))
   365 (let ((@x712 (unit-resolution @x202 (unit-resolution (asserted (or (not x42$) $x375)) @x810 (not x42$)) @x841 x15$)))
   366 (let (($x454 (not x43$)))
   367 (let (($x516 (not x15$)))
   368 (let (($x536 (or $x516 $x454)))
   369 (let ((@x537 (asserted $x536)))
   370 (let ((@x844 (lemma (unit-resolution @x537 @x712 @x840 false) (or $x496 x48$ x47$))))
   371 (let ((@x893 (unit-resolution @x242 (unit-resolution @x844 @x841 @x974 $x496) @x757 @x756 x18$)))
   372 (let (($x556 (or $x552 $x538)))
   373 (let ((@x557 (asserted $x556)))
   374 (let (($x446 (not x42$)))
   375 (let ((@x1023 (unit-resolution @x559 @x893 $x482)))
   376 (let (($x468 (not x44$)))
   377 (let ((@x738 (unit-resolution @x725 (unit-resolution (asserted (or $x446 $x375)) (hypothesis x42$) $x375) x5$)))
   378 (let (($x374 (not x5$)))
   379 (let (($x394 (or $x374 $x336)))
   380 (let ((@x395 (asserted $x394)))
   381 (let (($x353 (or $x348 $x335)))
   382 (let ((@x354 (asserted $x353)))
   383 (let ((@x1005 (unit-resolution @x354 (unit-resolution @x706 (unit-resolution @x395 @x738 $x336) x1$) $x348)))
   384 (let ((@x983 (unit-resolution @x352 (unit-resolution @x706 (unit-resolution @x395 @x738 $x336) x1$) $x347)))
   385 (let ((@x998 (hypothesis $x482)))
   386 (let ((@x932 (unit-resolution @x128 (unit-resolution @x417 @x992 $x410) @x922 @x999 x40$)))
   387 (let ((@x1030 (hypothesis $x348)))
   388 (let ((@x1031 (hypothesis $x382)))
   389 (let ((@x1039 (unit-resolution @x108 (unit-resolution (asserted (or $x396 $x356)) @x992 $x396) @x1031 @x1030 x38$)))
   390 (let (($x473 (or $x467 $x397)))
   391 (let ((@x474 (asserted $x473)))
   392 (let ((@x971 (unit-resolution @x175 (unit-resolution @x474 @x1039 $x467) (unit-resolution @x508 @x932 $x481) @x998 (unit-resolution @x421 @x992 $x411) false)))
   393 (let ((@x1013 (lemma @x971 (or $x438 x45$ x6$ x32$ x2$))))
   394 (let ((@x1040 (unit-resolution @x1013 (unit-resolution (asserted (or $x382 $x374)) @x738 $x382) @x998 @x1005 @x983 $x438)))
   395 (let (($x447 (or $x445 $x446)))
   396 (let ((@x448 (asserted $x447)))
   397 (let ((@x830 (unit-resolution @x448 (hypothesis x42$) $x445)))
   398 (let ((@x1020 (hypothesis x12$)))
   399 (let (($x469 (or $x467 $x468)))
   400 (let ((@x470 (asserted $x469)))
   401 (let ((@x1021 (unit-resolution @x470 @x1020 $x468)))
   402 (let (($x219 (or x17$ x50$ x16$ x44$)))
   403 (let ((@x222 (mp (asserted (or x17$ (or x50$ (or x16$ x44$)))) (rewrite (= (or x17$ (or x50$ (or x16$ x44$))) $x219)) $x219)))
   404 (let (($x471 (or $x467 $x453)))
   405 (let ((@x472 (asserted $x471)))
   406 (let ((@x889 (unit-resolution @x472 @x1020 $x453)))
   407 (let ((@x924 (unit-resolution @x155 @x889 (hypothesis $x445) (hypothesis (not x37$)) x43$)))
   408 (let (($x530 (or $x524 $x454)))
   409 (let ((@x531 (asserted $x530)))
   410 (let ((@x925 (unit-resolution @x531 @x924 (unit-resolution @x222 @x1021 @x897 @x896 x16$) false)))
   411 (let ((@x1075 (lemma @x925 (or $x467 x10$ x37$ x17$ x50$))))
   412 (let ((@x831 (unit-resolution @x1075 @x830 (unit-resolution (asserted (or (not x37$) $x374)) @x738 (not x37$)) @x897 @x896 $x467)))
   413 (let ((@x856 (unit-resolution @x175 @x831 @x998 (unit-resolution @x500 (unit-resolution @x193 @x1040 @x974 x14$) $x481) x39$)))
   414 (let ((@x715 (unit-resolution @x108 (unit-resolution @x419 @x856 $x396) (unit-resolution (asserted (or $x382 $x374)) @x738 $x382) @x1005 x38$)))
   415 (let (($x477 (or $x468 $x397)))
   416 (let ((@x478 (asserted $x477)))
   417 (let ((@x850 (unit-resolution @x222 (unit-resolution @x478 @x715 $x468) @x897 @x896 x16$)))
   418 (let ((@x828 (unit-resolution @x155 (unit-resolution @x480 @x715 $x453) @x830 (unit-resolution (asserted (or (not x37$) $x374)) @x738 (not x37$)) x43$)))
   419 (let ((@x1001 (lemma (unit-resolution @x531 @x828 @x850 false) (or $x446 x17$ x50$ x45$ x47$))))
   420 (let ((@x762 (unit-resolution @x1001 (unit-resolution @x557 @x893 $x538) @x896 @x1023 @x974 $x446)))
   421 (let (($x528 (or $x524 $x516)))
   422 (let ((@x529 (asserted $x528)))
   423 (let ((@x1017 (unit-resolution @x222 (unit-resolution @x529 (unit-resolution @x202 @x762 @x841 x15$) $x524) (unit-resolution @x557 @x893 $x538) @x896 x44$)))
   424 (let ((@x901 (unit-resolution @x706 (unit-resolution @x395 (hypothesis x5$) $x336) x1$)))
   425 (let ((@x823 (unit-resolution @x108 (unit-resolution @x354 @x901 $x348) @x853 (unit-resolution (asserted (or $x382 $x374)) (hypothesis x5$) $x382) x7$)))
   426 (let ((@x740 (unit-resolution @x1013 (unit-resolution @x354 @x901 $x348) @x998 (unit-resolution (asserted (or $x382 $x374)) (hypothesis x5$) $x382) (unit-resolution @x352 @x901 $x347) $x438)))
   427 (let ((@x835 (unit-resolution @x175 (unit-resolution @x500 (unit-resolution @x193 @x740 @x974 x14$) $x481) (unit-resolution @x419 @x823 $x411) @x998 @x882 false)))
   428 (let ((@x769 (lemma @x835 (or $x374 x45$ x12$ x47$ x38$))))
   429 (let ((@x898 (unit-resolution @x769 @x1023 (unit-resolution @x470 @x1017 $x467) @x974 (unit-resolution @x478 @x1017 $x397) $x374)))
   430 (let ((@x735 (unit-resolution @x155 (unit-resolution @x450 (unit-resolution @x725 @x898 x36$) $x445) (unit-resolution @x537 (unit-resolution @x202 @x762 @x841 x15$) $x454) (unit-resolution (asserted (or $x468 $x453)) @x1017 $x453) x37$)))
   431 (let (($x383 (not x37$)))
   432 (let (($x384 (or $x382 $x383)))
   433 (let ((@x385 (asserted $x384)))
   434 (let ((@x946 (unit-resolution @x706 (unit-resolution (asserted (or $x383 $x336)) @x735 $x336) x1$)))
   435 (let ((@x836 (unit-resolution @x108 (unit-resolution @x354 @x946 $x348) (unit-resolution @x478 @x1017 $x397) (unit-resolution @x385 @x735 $x382) x7$)))
   436 (let ((@x1025 (unit-resolution @x1013 (unit-resolution @x354 @x946 $x348) @x1023 (unit-resolution @x385 @x735 $x382) (unit-resolution @x352 @x946 $x347) $x438)))
   437 (let ((@x886 (unit-resolution @x175 (unit-resolution @x500 (unit-resolution @x193 @x1025 @x974 x14$) $x481) (unit-resolution @x419 @x836 $x411) @x1023 (unit-resolution @x470 @x1017 $x467) false)))
   438 (let ((@x1059 (unit-resolution (lemma @x886 (or x48$ x47$ x50$ x19$ x52$)) @x1058 @x974 @x757 @x756 x48$)))
   439 (let (($x591 (or $x587 $x517)))
   440 (let ((@x592 (asserted $x591)))
   441 (let (($x595 (not x21$)))
   442 (let (($x617 (or $x610 $x595)))
   443 (let ((@x618 (asserted $x617)))
   444 (let (($x596 (not x55$)))
   445 (let (($x302 (or x25$ x54$)))
   446 (let ((@x307 (asserted $x302)))
   447 (let ((@x855 (unit-resolution @x307 (unit-resolution (asserted (or (not x54$) $x517)) @x1059 (not x54$)) x25$)))
   448 (let (($x665 (or $x657 $x596)))
   449 (let ((@x666 (asserted $x665)))
   450 (let (($x266 (or x21$ x55$ x20$ x49$)))
   451 (let ((@x269 (mp (asserted (or x21$ (or x55$ (or x20$ x49$)))) (rewrite (= (or x21$ (or x55$ (or x20$ x49$))) $x266)) $x266)))
   452 (let ((@x911 (unit-resolution @x269 (unit-resolution @x666 @x855 $x596) (unit-resolution @x618 (hypothesis x56$) $x595) (unit-resolution @x592 @x1059 $x587) x49$)))
   453 (let (($x525 (not x49$)))
   454 (let (($x526 (or $x524 $x525)))
   455 (let ((@x527 (asserted $x526)))
   456 (let ((@x1006 (unit-resolution @x242 (unit-resolution @x557 (hypothesis x17$) $x552) @x757 @x756 x46$)))
   457 (let (($x503 (or $x496 $x481)))
   458 (let ((@x504 (asserted $x503)))
   459 (let ((@x752 (unit-resolution @x175 (unit-resolution @x504 @x1006 $x481) (unit-resolution (asserted (or $x538 $x482)) (hypothesis x17$) $x482) @x882 x39$)))
   460 (let (($x412 (or $x410 $x411)))
   461 (let ((@x413 (asserted $x412)))
   462 (let ((@x806 (unit-resolution @x193 (unit-resolution (asserted (or $x495 $x496)) @x1006 $x495) @x974 x41$)))
   463 (let ((@x954 (unit-resolution @x128 (unit-resolution @x440 @x806 $x424) (unit-resolution @x506 @x1006 $x425) (unit-resolution @x413 @x752 $x410) x34$)))
   464 (let ((@x745 (unit-resolution @x366 (unit-resolution @x77 (unit-resolution @x442 @x806 $x371) x4$) @x954 false)))
   465 (let ((@x771 (lemma @x745 (or $x538 x12$ x47$ x19$ x52$))))
   466 (let ((@x928 (unit-resolution @x222 (unit-resolution @x771 @x882 @x974 @x757 @x756 $x538) (hypothesis $x524) @x896 x44$)))
   467 (let ((@x929 (unit-resolution @x478 @x928 $x397)))
   468 (let ((@x832 (hypothesis $x454)))
   469 (let ((@x859 (unit-resolution @x242 (unit-resolution (asserted (or $x495 $x496)) (hypothesis x14$) $x496) @x757 @x756 x18$)))
   470 (let ((@x951 (unit-resolution @x175 (unit-resolution @x559 @x859 $x482) (unit-resolution @x500 (hypothesis x14$) $x481) @x882 x39$)))
   471 (let ((@x833 (unit-resolution @x769 (unit-resolution @x559 @x859 $x482) @x882 @x974 @x853 $x374)))
   472 (let ((@x1076 (unit-resolution @x155 (unit-resolution @x450 (unit-resolution @x725 @x833 x36$) $x445) @x832 @x815 x37$)))
   473 (let ((@x872 (unit-resolution @x108 (unit-resolution @x385 @x1076 $x382) (unit-resolution @x419 @x951 $x396) @x853 x32$)))
   474 (let ((@x962 (unit-resolution @x706 (unit-resolution (asserted (or $x383 $x336)) @x1076 $x336) x1$)))
   475 (let ((@x861 (lemma (unit-resolution @x354 @x962 @x872 false) (or $x495 x38$ x43$ x11$ x12$ x47$ x19$ x52$))))
   476 (let ((@x1079 (unit-resolution @x861 @x929 @x832 (unit-resolution (asserted (or $x468 $x453)) @x928 $x453) @x882 @x974 @x757 @x756 $x495)))
   477 (let ((@x709 (unit-resolution @x77 (unit-resolution @x442 (unit-resolution @x193 @x1079 @x974 x41$) $x371) x4$)))
   478 (let ((@x939 (unit-resolution @x128 (unit-resolution @x1011 @x929 (unit-resolution @x368 @x709 $x355) $x410) (unit-resolution @x440 (unit-resolution @x193 @x1079 @x974 x41$) $x424) (unit-resolution @x366 @x709 $x364) x40$)))
   479 (let ((@x754 (unit-resolution @x242 (unit-resolution @x506 @x939 $x496) @x757 @x756 x18$)))
   480 (let ((@x904 (unit-resolution @x175 (unit-resolution @x559 @x754 $x482) (unit-resolution @x508 @x939 $x481) @x882 x39$)))
   481 (let ((@x877 (unit-resolution @x67 (unit-resolution @x421 @x904 $x356) (unit-resolution @x368 @x709 $x355) x2$)))
   482 (let ((@x927 (unit-resolution @x769 (unit-resolution @x559 @x754 $x482) @x882 @x974 @x929 $x374)))
   483 (let ((@x880 (unit-resolution @x155 (unit-resolution @x450 (unit-resolution @x725 @x927 x36$) $x445) @x832 (unit-resolution (asserted (or $x468 $x453)) @x928 $x453) x37$)))
   484 (let ((@x812 (unit-resolution @x108 (unit-resolution @x385 @x880 $x382) (unit-resolution @x350 @x877 $x348) (unit-resolution @x419 @x904 $x396) @x929 false)))
   485 (let ((@x713 (unit-resolution (lemma @x812 (or x12$ x43$ x47$ x19$ x52$ x16$ x50$)) (unit-resolution (asserted (or $x525 $x454)) @x911 $x454) @x974 @x757 @x756 (unit-resolution @x527 @x911 $x524) @x1058 x12$)))
   486 (let ((@x817 (unit-resolution @x222 (unit-resolution @x470 @x713 $x468) (unit-resolution @x527 @x911 $x524) @x1058 x17$)))
   487 (let ((@x903 (unit-resolution @x242 (unit-resolution @x557 @x817 $x552) @x757 @x756 x46$)))
   488 (let (($x497 (or $x495 $x496)))
   489 (let ((@x498 (asserted $x497)))
   490 (let ((@x748 (unit-resolution @x442 (unit-resolution @x193 (unit-resolution @x498 @x903 $x495) @x974 x41$) $x371)))
   491 (let ((@x1027 (unit-resolution @x440 (unit-resolution @x193 (unit-resolution @x498 @x903 $x495) @x974 x41$) $x424)))
   492 (let ((@x890 (unit-resolution @x128 (unit-resolution @x366 (unit-resolution @x77 @x748 x4$) $x364) (unit-resolution @x506 @x903 $x425) @x1027 x8$)))
   493 (let ((@x891 (unit-resolution @x1011 @x890 (unit-resolution @x368 (unit-resolution @x77 @x748 x4$) $x355) (unit-resolution @x474 @x713 $x397) false)))
   494 (let ((@x1118 (unit-resolution (lemma @x891 (or $x610 x47$ x19$ x52$)) @x974 @x757 @x756 $x610)))
   495 (let ((@x802 (hypothesis $x623)))
   496 (let ((@x914 (hypothesis $x610)))
   497 (let (($x392 (or $x383 $x336)))
   498 (let ((@x393 (asserted $x392)))
   499 (let ((@x969 (unit-resolution @x393 (hypothesis x31$) $x383)))
   500 (let ((@x1047 (unit-resolution @x725 (unit-resolution @x395 (hypothesis x31$) $x374) x36$)))
   501 (let ((@x966 (unit-resolution @x450 @x1047 $x445)))
   502 (let (($x615 (or $x609 $x539)))
   503 (let ((@x616 (asserted $x615)))
   504 (let ((@x730 (unit-resolution @x616 (unit-resolution @x1075 @x966 @x1020 @x897 @x969 x50$) $x609)))
   505 (let (($x286 (or x23$ x57$ x22$ x51$)))
   506 (let ((@x289 (mp (asserted (or x23$ (or x57$ (or x22$ x51$)))) (rewrite (= (or x23$ (or x57$ (or x22$ x51$))) $x286)) $x286)))
   507 (let (($x624 (not x57$)))
   508 (let (($x679 (or $x667 $x624)))
   509 (let ((@x680 (asserted $x679)))
   510 (let ((@x948 (unit-resolution @x680 (unit-resolution @x289 @x730 @x802 (hypothesis $x553) x57$) $x667)))
   511 (let (($x322 (or x27$ x26$ x56$)))
   512 (let ((@x325 (mp (asserted (or x27$ (or x26$ x56$))) (rewrite (= (or x27$ (or x26$ x56$)) $x322)) $x322)))
   513 (let (($x588 (not x54$)))
   514 (let ((@x798 (unit-resolution @x537 (unit-resolution @x155 @x966 @x889 @x969 x43$) $x516)))
   515 (let ((@x799 (unit-resolution @x202 @x798 (unit-resolution (asserted (or $x446 $x375)) @x1047 $x446) x48$)))
   516 (let (($x593 (or $x588 $x517)))
   517 (let ((@x594 (asserted $x593)))
   518 (let (($x660 (not x26$)))
   519 (let (($x661 (or $x660 $x657)))
   520 (let ((@x662 (asserted $x661)))
   521 (let ((@x1094 (unit-resolution @x662 (unit-resolution @x307 (unit-resolution @x594 @x799 $x588) x25$) (unit-resolution @x325 @x948 @x914 x26$) false)))
   522 (let ((@x1096 (lemma @x1094 (or $x336 x56$ x23$ x51$ $x467 x17$))))
   523 (let ((@x1099 (unit-resolution @x1096 (unit-resolution (asserted (or $x552 $x553)) @x859 $x553) @x802 @x914 @x1020 (unit-resolution @x557 @x859 $x538) $x336)))
   524 (let ((@x804 (unit-resolution @x725 (unit-resolution (asserted (or $x382 $x374)) (hypothesis x6$) $x374) x36$)))
   525 (let ((@x1008 (unit-resolution @x1075 (unit-resolution @x450 @x804 $x445) @x1020 @x897 (unit-resolution @x385 (hypothesis x6$) $x383) x50$)))
   526 (let ((@x874 (unit-resolution @x289 (unit-resolution @x616 @x1008 $x609) @x802 (hypothesis $x553) x57$)))
   527 (let ((@x766 (unit-resolution @x155 (unit-resolution @x450 @x804 $x445) @x889 (unit-resolution @x385 (hypothesis x6$) $x383) x43$)))
   528 (let ((@x818 (unit-resolution @x202 (unit-resolution @x537 @x766 $x516) (unit-resolution (asserted (or $x446 $x375)) @x804 $x446) x48$)))
   529 (let ((@x783 (unit-resolution @x662 (unit-resolution @x307 (unit-resolution @x594 @x818 $x588) x25$) (unit-resolution @x325 (unit-resolution @x680 @x874 $x667) @x914 x26$) false)))
   530 (let ((@x737 (lemma @x783 (or $x382 x56$ x23$ x51$ $x467 x17$))))
   531 (let ((@x1102 (unit-resolution @x737 (unit-resolution (asserted (or $x552 $x553)) @x859 $x553) @x802 @x914 @x1020 (unit-resolution @x557 @x859 $x538) $x382)))
   532 (let ((@x1104 (unit-resolution @x108 (unit-resolution @x354 (unit-resolution @x706 @x1099 x1$) $x348) @x1102 @x853 x7$)))
   533 (let (($x422 (or $x396 $x356)))
   534 (let ((@x423 (asserted $x422)))
   535 (let ((@x1106 (unit-resolution @x67 (unit-resolution @x423 @x1104 $x356) (unit-resolution @x352 (unit-resolution @x706 @x1099 x1$) $x347) x3$)))
   536 (let ((@x1112 (unit-resolution @x128 (unit-resolution @x370 @x1106 $x364) (unit-resolution (asserted (or $x495 $x425)) (hypothesis x14$) $x425) (unit-resolution @x415 @x1104 $x410) x9$)))
   537 (let ((@x1113 (unit-resolution @x444 @x1112 (unit-resolution @x77 (unit-resolution @x368 @x1106 $x363) x35$) false)))
   538 (let ((@x1119 (unit-resolution (lemma @x1113 (or $x495 x38$ x23$ x56$ $x467 x19$ x52$)) @x853 @x802 @x1118 @x1116 @x757 @x756 $x495)))
   539 (let ((@x1120 (unit-resolution @x193 @x1119 @x974 x41$)))
   540 (let ((@x1123 (unit-resolution @x366 (unit-resolution @x77 (unit-resolution @x442 @x1120 $x371) x4$) $x364)))
   541 (let ((@x1125 (unit-resolution @x368 (unit-resolution @x77 (unit-resolution @x442 @x1120 $x371) x4$) $x355)))
   542 (let ((@x1127 (unit-resolution @x128 (unit-resolution @x1011 @x1125 @x853 $x410) (unit-resolution @x440 @x1120 $x424) @x1123 x40$)))
   543 (let ((@x1129 (unit-resolution @x242 (unit-resolution @x506 @x1127 $x496) @x757 @x756 x18$)))
   544 (let ((@x1132 (unit-resolution @x737 (unit-resolution (asserted (or $x552 $x553)) @x1129 $x553) @x802 @x1118 @x1116 (unit-resolution @x557 @x1129 $x538) $x382)))
   545 (let ((@x1133 (unit-resolution @x1096 (unit-resolution (asserted (or $x552 $x553)) @x1129 $x553) @x802 @x1118 @x1116 (unit-resolution @x557 @x1129 $x538) $x336)))
   546 (let ((@x1137 (unit-resolution @x1013 (unit-resolution @x354 (unit-resolution @x706 @x1133 x1$) $x348) (unit-resolution @x352 (unit-resolution @x706 @x1133 x1$) $x347) @x1120 @x1132 (unit-resolution @x490 @x1116 $x482) false)))
   547 (let ((@x1185 (unit-resolution (lemma @x1137 (or x38$ x23$ x19$ x52$ x47$)) (unit-resolution @x646 (hypothesis x58$) $x623) @x1182 @x756 @x1183 x38$)))
   548 (let ((@x1188 (unit-resolution @x474 @x1185 $x467)))
   549 (let ((@x1140 (unit-resolution @x155 @x966 @x815 @x969 x43$)))
   550 (let (($x534 (or $x525 $x454)))
   551 (let ((@x535 (asserted $x534)))
   552 (let ((@x1142 (hypothesis $x468)))
   553 (let ((@x1144 (unit-resolution @x222 (unit-resolution @x531 @x1140 $x524) @x897 @x1142 x50$)))
   554 (let (($x621 (or $x595 $x539)))
   555 (let ((@x622 (asserted $x621)))
   556 (let ((@x1147 (unit-resolution @x202 (unit-resolution @x537 @x1140 $x516) (unit-resolution (asserted (or $x446 $x375)) @x1047 $x446) x48$)))
   557 (let ((@x1149 (unit-resolution @x269 (unit-resolution @x592 @x1147 $x587) (unit-resolution @x622 @x1144 $x595) (unit-resolution @x535 @x1140 $x525) x55$)))
   558 (let ((@x1152 (unit-resolution @x666 (unit-resolution @x307 (unit-resolution @x594 @x1147 $x588) x25$) @x1149 false)))
   559 (let ((@x1154 (lemma @x1152 (or $x336 x17$ x44$ x11$))))
   560 (let ((@x1190 (unit-resolution @x1154 (unit-resolution @x771 @x1188 @x1183 @x1182 @x756 $x538) (unit-resolution @x478 @x1185 $x468) (unit-resolution @x480 @x1185 $x453) $x336)))
   561 (let ((@x1156 (unit-resolution @x559 (unit-resolution @x1013 @x728 @x1030 @x1031 @x845 x45$) $x552)))
   562 (let ((@x1159 (unit-resolution @x506 (unit-resolution @x128 @x999 @x913 @x922 x40$) (unit-resolution @x242 @x1156 @x757 @x756 x46$) false)))
   563 (let ((@x1163 (unit-resolution (lemma @x1159 (or $x438 x8$ x19$ x52$ x32$ x6$ x2$)) @x913 @x757 @x756 @x1030 @x1031 @x845 $x438)))
   564 (let ((@x1166 (unit-resolution @x242 (unit-resolution @x498 (unit-resolution @x193 @x1163 @x974 x14$) $x496) @x757 @x756 x18$)))
   565 (let ((@x1168 (unit-resolution @x175 (unit-resolution @x559 @x1166 $x482) @x882 (unit-resolution @x1090 @x913 @x974 $x481) x39$)))
   566 (let ((@x1171 (unit-resolution @x368 (unit-resolution @x67 (unit-resolution @x421 @x1168 $x356) @x845 x3$) $x363)))
   567 (let (($x501 (or $x495 $x425)))
   568 (let ((@x502 (asserted $x501)))
   569 (let ((@x1174 (unit-resolution @x370 (unit-resolution @x67 (unit-resolution @x421 @x1168 $x356) @x845 x3$) $x364)))
   570 (let ((@x1175 (unit-resolution @x128 @x1174 @x913 (unit-resolution @x502 (unit-resolution @x193 @x1163 @x974 x14$) $x425) x9$)))
   571 (let ((@x1178 (lemma (unit-resolution @x444 @x1175 (unit-resolution @x77 @x1171 x35$) false) (or x8$ x2$ x12$ x19$ x52$ x47$ x32$ x6$))))
   572 (let ((@x1195 (unit-resolution @x1178 (unit-resolution @x352 (unit-resolution @x706 @x1190 x1$) $x347) @x1188 @x1182 @x756 @x1183 (unit-resolution (asserted (or $x397 $x348)) @x1185 $x348) (unit-resolution (asserted (or $x397 $x382)) @x1185 $x382) x8$)))
   573 (let ((@x1197 (unit-resolution @x67 (unit-resolution @x417 @x1195 $x356) (unit-resolution @x352 (unit-resolution @x706 @x1190 x1$) $x347) x3$)))
   574 (let ((@x1200 (unit-resolution @x442 (unit-resolution @x77 (unit-resolution @x368 @x1197 $x363) x35$) $x438)))
   575 (let ((@x1203 (unit-resolution @x242 (unit-resolution @x498 (unit-resolution @x193 @x1200 @x1183 x14$) $x496) @x1182 @x756 x18$)))
   576 (let ((@x1206 (unit-resolution @x175 (unit-resolution @x500 (unit-resolution @x193 @x1200 @x1183 x14$) $x481) @x1188 (unit-resolution @x413 @x1195 $x411) x45$)))
   577 (let ((@x1215 (unit-resolution (lemma (unit-resolution @x559 @x1206 @x1203 false) (or $x638 x52$)) @x756 $x638)))
   578 (let (($x328 (or x28$ x58$)))
   579 (let ((@x792 (monotonicity (iff-false (asserted (not x29$)) (= x29$ false)) (= (or x29$ x28$ x58$) (or false x28$ x58$)))))
   580 (let ((@x796 (trans @x792 (rewrite (= (or false x28$ x58$) $x328)) (= (or x29$ x28$ x58$) $x328))))
   581 (let (($x337 (or x29$ x28$ x58$)))
   582 (let ((@x340 (mp (asserted (or x29$ $x328)) (rewrite (= (or x29$ $x328) $x337)) $x337)))
   583 (let ((@x797 (mp @x340 @x796 $x328)))
   584 (let (($x674 (not x28$)))
   585 (let (($x675 (or $x674 $x667)))
   586 (let ((@x676 (asserted $x675)))
   587 (let ((@x1224 (unit-resolution @x676 (unit-resolution @x797 @x1215 x28$) $x667)))
   588 (let ((@x1285 (hypothesis $x438)))
   589 (let ((@x708 (hypothesis $x411)))
   590 (let ((@x1210 (hypothesis $x496)))
   591 (let ((@x1213 (unit-resolution @x242 (unit-resolution (asserted (or $x566 $x509)) (hypothesis x47$) $x566) @x1210 @x756 x18$)))
   592 (let (($x554 (or $x552 $x553)))
   593 (let ((@x555 (asserted $x554)))
   594 (let (($x677 (or $x674 $x624)))
   595 (let ((@x678 (asserted $x677)))
   596 (let ((@x1217 (unit-resolution @x678 (unit-resolution @x797 @x1215 x28$) $x624)))
   597 (let ((@x1219 (unit-resolution @x779 (unit-resolution @x584 (hypothesis x47$) $x580) x24$)))
   598 (let (($x641 (or $x637 $x623)))
   599 (let ((@x642 (asserted $x641)))
   600 (let ((@x1221 (unit-resolution @x289 (unit-resolution @x642 @x1219 $x623) @x1217 (unit-resolution @x555 @x1213 $x553) x22$)))
   601 (let ((@x1226 (unit-resolution @x325 (unit-resolution (asserted (or $x609 $x610)) @x1221 $x610) @x1224 x26$)))
   602 (let (($x663 (or $x660 $x596)))
   603 (let ((@x664 (asserted $x663)))
   604 (let (($x589 (or $x587 $x588)))
   605 (let ((@x590 (asserted $x589)))
   606 (let ((@x1231 (unit-resolution @x590 (unit-resolution @x307 (unit-resolution @x662 @x1226 $x657) x54$) $x587)))
   607 (let ((@x1232 (unit-resolution @x269 @x1231 (unit-resolution (asserted (or $x609 $x595)) @x1221 $x595) (unit-resolution @x664 @x1226 $x596) x49$)))
   608 (let ((@x1234 (unit-resolution @x222 (unit-resolution @x527 @x1232 $x524) (unit-resolution @x557 @x1213 $x538) (unit-resolution @x616 @x1221 $x539) x44$)))
   609 (let (($x475 (or $x468 $x453)))
   610 (let ((@x476 (asserted $x475)))
   611 (let ((@x1237 (unit-resolution @x594 (unit-resolution @x307 (unit-resolution @x662 @x1226 $x657) x54$) $x517)))
   612 (let ((@x1239 (unit-resolution @x202 (unit-resolution (asserted (or $x525 $x516)) @x1232 $x516) @x1237 x42$)))
   613 (let ((@x1241 (unit-resolution @x155 (unit-resolution @x448 @x1239 $x445) (unit-resolution @x535 @x1232 $x454) (unit-resolution @x476 @x1234 $x453) x37$)))
   614 (let ((@x1243 (unit-resolution @x725 (unit-resolution (asserted (or $x446 $x375)) @x1239 $x375) x5$)))
   615 (let (($x390 (or $x383 $x374)))
   616 (let ((@x391 (asserted $x390)))
   617 (let ((@x1246 (lemma (unit-resolution @x391 @x1243 @x1241 false) (or $x509 x46$ x52$))))
   618 (let ((@x1247 (unit-resolution @x1246 @x1210 @x756 $x509)))
   619 (let ((@x1249 (unit-resolution @x175 (unit-resolution @x1090 @x1247 @x913 $x481) @x882 @x708 x45$)))
   620 (let (($x562 (or $x553 $x482)))
   621 (let ((@x563 (asserted $x562)))
   622 (let ((@x1252 (unit-resolution @x242 (unit-resolution @x559 @x1249 $x552) @x1210 @x756 x19$)))
   623 (let ((@x1255 (unit-resolution @x642 (unit-resolution @x779 (unit-resolution @x582 @x1252 $x580) x24$) $x623)))
   624 (let ((@x1256 (unit-resolution @x289 @x1255 @x1217 (unit-resolution @x563 @x1249 $x553) x22$)))
   625 (let ((@x1260 (unit-resolution @x325 (unit-resolution (asserted (or $x609 $x610)) @x1256 $x610) @x1224 x26$)))
   626 (let ((@x1265 (unit-resolution @x590 (unit-resolution @x307 (unit-resolution @x662 @x1260 $x657) x54$) $x587)))
   627 (let ((@x1266 (unit-resolution @x269 @x1265 (unit-resolution (asserted (or $x609 $x595)) @x1256 $x595) (unit-resolution @x664 @x1260 $x596) x49$)))
   628 (let ((@x1268 (unit-resolution @x222 (unit-resolution @x527 @x1266 $x524) (unit-resolution (asserted (or $x538 $x482)) @x1249 $x538) (unit-resolution @x616 @x1256 $x539) x44$)))
   629 (let ((@x1271 (unit-resolution @x594 (unit-resolution @x307 (unit-resolution @x662 @x1260 $x657) x54$) $x517)))
   630 (let ((@x1273 (unit-resolution @x202 (unit-resolution (asserted (or $x525 $x516)) @x1266 $x516) @x1271 x42$)))
   631 (let ((@x1275 (unit-resolution @x155 (unit-resolution @x448 @x1273 $x445) (unit-resolution @x535 @x1266 $x454) (unit-resolution @x476 @x1268 $x453) x37$)))
   632 (let ((@x1277 (unit-resolution @x725 (unit-resolution (asserted (or $x446 $x375)) @x1273 $x375) x5$)))
   633 (let ((@x1280 (lemma (unit-resolution @x391 @x1277 @x1275 false) (or x46$ x52$ x12$ x39$ x8$))))
   634 (let ((@x1282 (unit-resolution @x504 (unit-resolution @x1280 @x708 @x882 @x756 @x913 x46$) $x481)))
   635 (let ((@x1284 (unit-resolution @x563 (unit-resolution @x175 @x1282 @x882 @x708 x45$) $x553)))
   636 (let ((@x1286 (unit-resolution @x498 (unit-resolution @x1280 @x708 @x882 @x756 @x913 x46$) $x495)))
   637 (let ((@x1289 (unit-resolution @x779 (unit-resolution @x584 (unit-resolution @x193 @x1286 @x1285 x47$) $x580) x24$)))
   638 (let ((@x1291 (unit-resolution @x289 (unit-resolution @x642 @x1289 $x623) @x1217 @x1284 x22$)))
   639 (let (($x564 (or $x538 $x482)))
   640 (let ((@x565 (asserted $x564)))
   641 (let ((@x1293 (unit-resolution @x565 (unit-resolution @x175 @x1282 @x882 @x708 x45$) $x538)))
   642 (let ((@x1295 (unit-resolution @x325 (unit-resolution (asserted (or $x609 $x610)) @x1291 $x610) @x1224 x26$)))
   643 (let ((@x1300 (unit-resolution @x590 (unit-resolution @x307 (unit-resolution @x662 @x1295 $x657) x54$) $x587)))
   644 (let ((@x1301 (unit-resolution @x269 @x1300 (unit-resolution (asserted (or $x609 $x595)) @x1291 $x595) (unit-resolution @x664 @x1295 $x596) x49$)))
   645 (let ((@x1303 (unit-resolution @x222 (unit-resolution @x527 @x1301 $x524) @x1293 (unit-resolution @x616 @x1291 $x539) x44$)))
   646 (let ((@x1306 (unit-resolution @x594 (unit-resolution @x307 (unit-resolution @x662 @x1295 $x657) x54$) $x517)))
   647 (let ((@x1308 (unit-resolution @x202 (unit-resolution (asserted (or $x525 $x516)) @x1301 $x516) @x1306 x42$)))
   648 (let ((@x1310 (unit-resolution @x155 (unit-resolution @x448 @x1308 $x445) (unit-resolution @x535 @x1301 $x454) (unit-resolution @x476 @x1303 $x453) x37$)))
   649 (let ((@x1312 (unit-resolution @x725 (unit-resolution (asserted (or $x446 $x375)) @x1308 $x375) x5$)))
   650 (let ((@x1315 (lemma (unit-resolution @x391 @x1312 @x1310 false) (or x39$ x12$ x41$ x52$ x8$))))
   651 (let ((@x1317 (unit-resolution @x421 (unit-resolution @x1315 @x1285 @x882 @x756 @x913 x39$) $x356)))
   652 (let ((@x1321 (unit-resolution @x77 (unit-resolution @x368 (unit-resolution @x67 @x1317 @x845 x3$) $x363) x35$)))
   653 (let ((@x1323 (unit-resolution @x128 (unit-resolution @x444 @x1321 $x424) @x913 (unit-resolution @x370 (unit-resolution @x67 @x1317 @x845 x3$) $x364) x40$)))
   654 (let ((@x1327 (unit-resolution @x1246 (unit-resolution @x193 (unit-resolution @x502 @x1323 $x495) @x1285 x47$) (unit-resolution @x506 @x1323 $x496) @x756 false)))
   655 (let ((@x1330 (unit-resolution (lemma @x1327 (or x41$ x52$ x8$ x2$ x12$)) @x845 @x913 @x756 @x882 x41$)))
   656 (let ((@x1334 (unit-resolution @x366 (unit-resolution @x77 (unit-resolution @x442 @x1330 $x371) x4$) $x364)))
   657 (let ((@x1335 (unit-resolution @x128 @x1334 @x913 (unit-resolution @x440 @x1330 $x424) x40$)))
   658 (let ((@x1337 (unit-resolution @x368 (unit-resolution @x77 (unit-resolution @x442 @x1330 $x371) x4$) $x355)))
   659 (let ((@x1340 (unit-resolution @x1280 (unit-resolution @x421 (unit-resolution @x67 @x1337 @x845 x33$) $x411) (unit-resolution @x506 @x1335 $x496) @x882 @x756 @x913 false)))
   660 (let ((@x1343 (unit-resolution (lemma @x1340 (or x2$ x12$ x52$ x8$)) @x913 @x756 @x882 x2$)))
   661 (let ((@x1345 (unit-resolution @x706 (unit-resolution @x352 @x1343 $x335) x31$)))
   662 (let (($x451 (or $x446 $x375)))
   663 (let ((@x452 (asserted $x451)))
   664 (let ((@x1348 (unit-resolution @x452 (unit-resolution @x725 (unit-resolution @x395 @x1345 $x374) x36$) $x446)))
   665 (let ((@x1349 (unit-resolution @x450 (unit-resolution @x725 (unit-resolution @x395 @x1345 $x374) x36$) $x445)))
   666 (let ((@x1354 (unit-resolution @x419 (unit-resolution @x1280 @x1210 @x882 @x756 @x913 x39$) $x396)))
   667 (let ((@x1355 (unit-resolution @x108 @x1354 (unit-resolution @x350 @x1343 $x348) (unit-resolution @x389 @x1345 $x382) x38$)))
   668 (let ((@x1357 (unit-resolution @x155 (unit-resolution @x480 @x1355 $x453) (unit-resolution @x393 @x1345 $x383) @x1349 x43$)))
   669 (let ((@x1360 (unit-resolution @x594 (unit-resolution @x202 (unit-resolution @x537 @x1357 $x516) @x1348 x48$) $x588)))
   670 (let ((@x1364 (unit-resolution @x1154 (unit-resolution @x478 @x1355 $x468) @x1345 (unit-resolution @x480 @x1355 $x453) x17$)))
   671 (let (($x560 (or $x553 $x538)))
   672 (let ((@x561 (asserted $x560)))
   673 (let ((@x1367 (unit-resolution @x582 (unit-resolution @x771 @x1364 @x882 @x1247 @x756 x19$) $x580)))
   674 (let ((@x1370 (unit-resolution @x289 (unit-resolution @x642 (unit-resolution @x779 @x1367 x24$) $x623) @x1217 (unit-resolution @x561 @x1364 $x553) x22$)))
   675 (let (($x611 (or $x609 $x610)))
   676 (let ((@x612 (asserted $x611)))
   677 (let ((@x1372 (unit-resolution @x325 (unit-resolution @x612 @x1370 $x610) (unit-resolution @x662 (unit-resolution @x307 @x1360 x25$) $x660) @x1224 false)))
   678 (let ((@x1384 (unit-resolution (lemma @x1372 (or x46$ x12$ x52$ x8$)) @x913 @x756 @x882 x46$)))
   679 (let ((@x1376 (unit-resolution (lemma @x891 (or $x610 x47$ x19$ x52$)) @x974 (unit-resolution (asserted (or $x566 $x496)) (hypothesis x46$) $x566) @x756 $x610)))
   680 (let ((@x1379 (unit-resolution @x594 (unit-resolution @x844 @x974 (hypothesis x46$) x48$) $x588)))
   681 (let ((@x1381 (unit-resolution @x662 (unit-resolution @x307 @x1379 x25$) (unit-resolution @x325 @x1376 @x1224 x26$) false)))
   682 (let ((@x1383 (lemma @x1381 (or x47$ x52$ $x496))))
   683 (let (($x512 (or $x509 $x438)))
   684 (let ((@x513 (asserted $x512)))
   685 (let ((@x1387 (unit-resolution @x1315 (unit-resolution @x513 (unit-resolution @x1383 @x1384 @x756 x47$) $x438) @x882 @x756 @x913 x39$)))
   686 (let ((@x1389 (unit-resolution @x108 (unit-resolution @x419 @x1387 $x396) (unit-resolution @x350 @x1343 $x348) (unit-resolution @x389 @x1345 $x382) x38$)))
   687 (let ((@x1391 (unit-resolution @x155 (unit-resolution @x480 @x1389 $x453) (unit-resolution @x393 @x1345 $x383) @x1349 x43$)))
   688 (let ((@x1394 (unit-resolution @x594 (unit-resolution @x202 (unit-resolution @x537 @x1391 $x516) @x1348 x48$) $x588)))
   689 (let ((@x1397 (unit-resolution @x779 (unit-resolution @x584 (unit-resolution @x1383 @x1384 @x756 x47$) $x580) x24$)))
   690 (let ((@x1400 (unit-resolution @x1154 (unit-resolution @x480 @x1389 $x453) @x1345 (unit-resolution @x478 @x1389 $x468) x17$)))
   691 (let ((@x1402 (unit-resolution @x289 (unit-resolution @x561 @x1400 $x553) @x1217 (unit-resolution @x642 @x1397 $x623) x22$)))
   692 (let ((@x1405 (unit-resolution @x662 (unit-resolution @x325 (unit-resolution @x612 @x1402 $x610) @x1224 x26$) (unit-resolution @x307 @x1394 x25$) false)))
   693 (let ((@x1440 (unit-resolution (lemma @x1405 (or x8$ x12$ x52$)) @x882 @x756 x8$)))
   694 (let ((@x1411 (unit-resolution @x242 (unit-resolution @x559 (hypothesis x45$) $x552) @x1210 @x756 x19$)))
   695 (let ((@x1414 (unit-resolution @x642 (unit-resolution @x779 (unit-resolution @x582 @x1411 $x580) x24$) $x623)))
   696 (let ((@x1415 (unit-resolution @x289 @x1414 @x1217 (unit-resolution @x563 (hypothesis x45$) $x553) x22$)))
   697 (let ((@x1418 (unit-resolution @x662 (unit-resolution @x325 (unit-resolution @x612 @x1415 $x610) @x1224 x26$) $x657)))
   698 (let ((@x1421 (unit-resolution @x664 (unit-resolution @x325 (unit-resolution @x612 @x1415 $x610) @x1224 x26$) $x596)))
   699 (let ((@x1424 (unit-resolution @x269 (unit-resolution @x590 (unit-resolution @x307 @x1418 x54$) $x587) (unit-resolution (asserted (or $x609 $x595)) @x1415 $x595) @x1421 x49$)))
   700 (let (($x532 (or $x525 $x516)))
   701 (let ((@x533 (asserted $x532)))
   702 (let ((@x1426 (unit-resolution @x202 (unit-resolution @x533 @x1424 $x516) (unit-resolution @x594 (unit-resolution @x307 @x1418 x54$) $x517) x42$)))
   703 (let ((@x1432 (unit-resolution @x222 (unit-resolution @x527 @x1424 $x524) (unit-resolution @x565 (hypothesis x45$) $x538) (unit-resolution @x616 @x1415 $x539) x44$)))
   704 (let ((@x1434 (unit-resolution @x155 (unit-resolution @x476 @x1432 $x453) (unit-resolution @x535 @x1424 $x454) (unit-resolution @x448 @x1426 $x445) x37$)))
   705 (let ((@x1437 (unit-resolution @x391 (unit-resolution @x725 (unit-resolution @x452 @x1426 $x375) x5$) @x1434 false)))
   706 (let ((@x1444 (unit-resolution @x175 (unit-resolution (lemma @x1437 (or $x482 x46$ x52$)) @x1210 @x756 $x482) @x882 (unit-resolution @x413 @x1440 $x411) x13$)))
   707 (let ((@x1447 (unit-resolution @x442 (unit-resolution @x193 (unit-resolution @x500 @x1444 $x495) @x1247 x41$) $x371)))
   708 (let ((@x1450 (unit-resolution @x67 (unit-resolution @x368 (unit-resolution @x77 @x1447 x4$) $x355) (unit-resolution @x417 @x1440 $x356) x2$)))
   709 (let ((@x1452 (unit-resolution @x706 (unit-resolution @x352 @x1450 $x335) x31$)))
   710 (let ((@x1455 (unit-resolution @x452 (unit-resolution @x725 (unit-resolution @x395 @x1452 $x374) x36$) $x446)))
   711 (let ((@x1457 (unit-resolution @x1011 (unit-resolution @x368 (unit-resolution @x77 @x1447 x4$) $x355) @x1440 x38$)))
   712 (let ((@x1459 (unit-resolution @x450 (unit-resolution @x725 (unit-resolution @x395 @x1452 $x374) x36$) $x445)))
   713 (let ((@x1460 (unit-resolution @x155 @x1459 (unit-resolution @x480 @x1457 $x453) (unit-resolution @x393 @x1452 $x383) x43$)))
   714 (let ((@x1463 (unit-resolution @x594 (unit-resolution @x202 (unit-resolution @x537 @x1460 $x516) @x1455 x48$) $x588)))
   715 (let ((@x1466 (unit-resolution @x1154 @x1452 (unit-resolution @x478 @x1457 $x468) (unit-resolution @x480 @x1457 $x453) x17$)))
   716 (let ((@x1469 (unit-resolution @x582 (unit-resolution @x771 @x1466 @x882 @x1247 @x756 x19$) $x580)))
   717 (let ((@x1472 (unit-resolution @x289 (unit-resolution @x642 (unit-resolution @x779 @x1469 x24$) $x623) @x1217 (unit-resolution @x561 @x1466 $x553) x22$)))
   718 (let ((@x1475 (unit-resolution @x662 (unit-resolution @x325 (unit-resolution @x612 @x1472 $x610) @x1224 x26$) (unit-resolution @x307 @x1463 x25$) false)))
   719 (let ((@x1478 (unit-resolution (lemma @x1475 (or x46$ x12$ x52$)) @x882 @x756 x46$)))
   720 (let ((@x1480 (unit-resolution @x175 (unit-resolution @x504 @x1478 $x481) @x882 (unit-resolution @x413 @x1440 $x411) x45$)))
   721 (let ((@x1484 (unit-resolution @x779 (unit-resolution @x584 (unit-resolution @x1383 @x1478 @x756 x47$) $x580) x24$)))
   722 (let ((@x1486 (unit-resolution @x289 (unit-resolution @x642 @x1484 $x623) @x1217 (unit-resolution @x563 @x1480 $x553) x22$)))
   723 (let ((@x1491 (unit-resolution @x664 (unit-resolution @x325 (unit-resolution @x612 @x1486 $x610) @x1224 x26$) $x596)))
   724 (let ((@x1493 (unit-resolution @x662 (unit-resolution @x325 (unit-resolution @x612 @x1486 $x610) @x1224 x26$) $x657)))
   725 (let ((@x1496 (unit-resolution @x269 (unit-resolution @x590 (unit-resolution @x307 @x1493 x54$) $x587) (unit-resolution (asserted (or $x609 $x595)) @x1486 $x595) @x1491 x49$)))
   726 (let ((@x1498 (unit-resolution @x222 (unit-resolution @x527 @x1496 $x524) (unit-resolution @x565 @x1480 $x538) (unit-resolution @x616 @x1486 $x539) x44$)))
   727 (let ((@x1503 (unit-resolution @x202 (unit-resolution @x533 @x1496 $x516) (unit-resolution @x594 (unit-resolution @x307 @x1493 x54$) $x517) x42$)))
   728 (let ((@x1505 (unit-resolution @x155 (unit-resolution @x448 @x1503 $x445) (unit-resolution @x535 @x1496 $x454) (unit-resolution @x476 @x1498 $x453) x37$)))
   729 (let ((@x1508 (unit-resolution @x391 (unit-resolution @x725 (unit-resolution @x452 @x1503 $x375) x5$) @x1505 false)))
   730 (let ((@x1576 (unit-resolution @x472 (unit-resolution (lemma @x1508 (or x12$ x52$)) @x756 x12$) $x453)))
   731 (let ((@x1547 (hypothesis $x667)))
   732 (let ((@x1557 (unit-resolution @x325 (unit-resolution @x612 (hypothesis x22$) $x610) @x1547 x26$)))
   733 (let ((@x1561 (unit-resolution @x590 (unit-resolution @x307 (unit-resolution @x662 @x1557 $x657) x54$) $x587)))
   734 (let ((@x1562 (unit-resolution @x269 @x1561 (unit-resolution @x664 @x1557 $x596) (unit-resolution (asserted (or $x609 $x595)) (hypothesis x22$) $x595) x49$)))
   735 (let ((@x1564 (unit-resolution @x594 (unit-resolution @x307 (unit-resolution @x662 @x1557 $x657) x54$) $x517)))
   736 (let ((@x1512 (unit-resolution @x391 @x738 (unit-resolution @x155 @x830 @x832 @x815 x37$) false)))
   737 (let ((@x1514 (lemma @x1512 (or $x446 x43$ x11$))))
   738 (let ((@x1567 (unit-resolution @x1514 (unit-resolution @x202 (unit-resolution @x533 @x1562 $x516) @x1564 x42$) (unit-resolution @x535 @x1562 $x454) @x815 false)))
   739 (let ((@x1569 (lemma @x1567 (or $x609 x11$ x27$))))
   740 (let ((@x1584 (hypothesis $x446)))
   741 (let ((@x1587 (unit-resolution @x307 (unit-resolution @x662 (hypothesis x26$) $x657) x54$)))
   742 (let ((@x1590 (unit-resolution @x529 (unit-resolution @x202 (unit-resolution @x594 @x1587 $x517) @x1584 x15$) $x524)))
   743 (let ((@x1594 (unit-resolution @x533 (unit-resolution @x202 (unit-resolution @x594 @x1587 $x517) @x1584 x15$) $x525)))
   744 (let ((@x1595 (unit-resolution @x269 @x1594 (unit-resolution @x664 (hypothesis x26$) $x596) (unit-resolution @x590 @x1587 $x587) x21$)))
   745 (let ((@x1596 (unit-resolution @x622 @x1595 (unit-resolution @x222 @x1590 @x1142 @x897 x50$) false)))
   746 (let ((@x1599 (unit-resolution (lemma @x1596 (or $x660 x44$ x17$ x42$)) @x1584 @x897 @x1142 $x660)))
   747 (let ((@x1602 (unit-resolution @x222 (unit-resolution @x620 (unit-resolution @x325 @x1599 @x1547 x56$) $x539) @x1142 @x897 x16$)))
   748 (let ((@x1607 (unit-resolution @x592 (unit-resolution @x202 (unit-resolution @x529 @x1602 $x516) @x1584 x48$) $x587)))
   749 (let ((@x1608 (unit-resolution @x269 @x1607 (unit-resolution @x618 (unit-resolution @x325 @x1599 @x1547 x56$) $x595) (unit-resolution @x527 @x1602 $x525) x55$)))
   750 (let ((@x1609 (unit-resolution @x594 (unit-resolution @x202 (unit-resolution @x529 @x1602 $x516) @x1584 x48$) $x588)))
   751 (let ((@x1613 (lemma (unit-resolution @x666 (unit-resolution @x307 @x1609 x25$) @x1608 false) (or x42$ x44$ x17$ x27$))))
   752 (let ((@x1615 (unit-resolution @x448 (unit-resolution @x1613 @x897 @x1021 @x1547 x42$) $x445)))
   753 (let ((@x1616 (unit-resolution @x1514 (unit-resolution @x1613 @x897 @x1021 @x1547 x42$) @x889 x43$)))
   754 (let (($x463 (or $x454 $x383)))
   755 (let ((@x464 (asserted $x463)))
   756 (let ((@x1618 (unit-resolution @x1075 (unit-resolution @x464 @x1616 $x383) @x1020 @x897 @x1615 x50$)))
   757 (let ((@x1621 (unit-resolution @x662 (unit-resolution @x325 (unit-resolution @x620 @x1618 $x610) @x1547 x26$) $x657)))
   758 (let ((@x1625 (unit-resolution @x664 (unit-resolution @x325 (unit-resolution @x620 @x1618 $x610) @x1547 x26$) $x596)))
   759 (let ((@x1626 (unit-resolution @x269 @x1625 (unit-resolution @x622 @x1618 $x595) (unit-resolution @x535 @x1616 $x525) x20$)))
   760 (let ((@x1629 (lemma (unit-resolution @x590 @x1626 (unit-resolution @x307 @x1621 x54$) false) (or x17$ x27$ $x467))))
   761 (let ((@x1630 (unit-resolution @x1629 @x1224 (unit-resolution (lemma @x1508 (or x12$ x52$)) @x756 x12$) x17$)))
   762 (let ((@x1632 (unit-resolution @x289 (unit-resolution @x561 @x1630 $x553) @x1217 (unit-resolution @x1569 @x1576 @x1224 $x609) x23$)))
   763 (let ((@x1635 (unit-resolution @x584 (unit-resolution @x779 (unit-resolution @x642 @x1632 $x637) x53$) $x509)))
   764 (let ((@x1637 (unit-resolution @x582 (unit-resolution @x779 (unit-resolution @x642 @x1632 $x637) x53$) $x566)))
   765 (let ((@x1638 (unit-resolution @x242 @x1637 (unit-resolution @x557 @x1630 $x552) @x756 x46$)))
   766 (let ((@x1640 (lemma (unit-resolution @x1383 @x1638 @x1635 @x756 false) x52$)))
   767 (let (($x647 (or $x638 $x567)))
   768 (let ((@x648 (asserted $x647)))
   769 (let ((@x1665 (unit-resolution @x676 (unit-resolution @x797 (unit-resolution @x648 @x1640 $x638) x28$) $x667)))
   770 (let ((@x1668 (unit-resolution (unit-resolution @x1569 @x1665 (or $x609 x11$)) @x815 $x609)))
   771 (let ((@x1669 (unit-resolution @x678 (unit-resolution @x797 (unit-resolution @x648 @x1640 $x638) x28$) $x624)))
   772 (let ((@x1671 (unit-resolution @x289 (unit-resolution (asserted (or $x623 $x567)) @x1640 $x623) @x1669 (or x22$ x51$))))
   773 (let ((@x1673 (unit-resolution @x563 (unit-resolution @x1671 @x1668 x51$) $x482)))
   774 (let ((@x1676 (unit-resolution (unit-resolution @x1629 @x1665 (or x17$ $x467)) @x897 $x467)))
   775 (let ((@x1650 (unit-resolution @x77 (unit-resolution @x368 (hypothesis x3$) $x363) x35$)))
   776 (let ((@x1579 (unit-resolution @x779 (unit-resolution (asserted (or $x637 $x567)) @x1640 $x637) x53$)))
   777 (let ((@x1580 (unit-resolution @x584 @x1579 $x509)))
   778 (let ((@x1653 (unit-resolution (unit-resolution @x193 @x1580 (or x14$ x41$)) (unit-resolution @x442 @x1650 $x438) x14$)))
   779 (let ((@x1655 (unit-resolution @x175 (unit-resolution @x500 @x1653 $x481) @x882 @x998 x39$)))
   780 (let ((@x1659 (unit-resolution @x128 (unit-resolution @x502 @x1653 $x425) (unit-resolution @x444 @x1650 $x424) (unit-resolution @x370 (hypothesis x3$) $x364) x8$)))
   781 (let ((@x1662 (lemma (unit-resolution @x413 @x1659 @x1655 false) (or $x355 x12$ x45$))))
   782 (let ((@x1574 (unit-resolution (unit-resolution @x1090 @x1580 (or $x481 x8$)) (unit-resolution @x1011 @x942 @x853 $x410) $x481)))
   783 (let ((@x1581 (unit-resolution @x419 (unit-resolution @x175 @x1574 @x882 @x998 x39$) $x396)))
   784 (let ((@x1582 (unit-resolution @x421 (unit-resolution @x175 @x1574 @x882 @x998 x39$) $x356)))
   785 (let ((@x1642 (unit-resolution @x108 (unit-resolution @x350 (unit-resolution @x67 @x1582 @x942 x2$) $x348) @x1581 @x853 x6$)))
   786 (let ((@x1644 (unit-resolution @x706 (unit-resolution @x352 (unit-resolution @x67 @x1582 @x942 x2$) $x335) x31$)))
   787 (let ((@x1647 (lemma (unit-resolution @x389 @x1644 @x1642 false) (or x3$ x38$ x12$ x45$))))
   788 (let ((@x1678 (unit-resolution @x1647 (unit-resolution @x1662 @x1673 @x1676 $x355) @x1676 @x1673 x38$)))
   789 (let ((@x1681 (unit-resolution @x706 (unit-resolution @x1154 (unit-resolution @x478 @x1678 $x468) @x897 @x815 $x336) x1$)))
   790 (let ((@x1683 (unit-resolution @x67 (unit-resolution @x352 @x1681 $x347) (unit-resolution @x1662 @x1673 @x1676 $x355) x33$)))
   791 (let ((@x1686 (unit-resolution (unit-resolution @x1090 @x1580 (or $x481 x8$)) (unit-resolution @x417 @x1683 $x410) $x481)))
   792 (let ((@x1687 (unit-resolution @x175 @x1686 (unit-resolution @x421 @x1683 $x411) @x1676 @x1673 false)))
   793 (let ((@x1691 (unit-resolution @x480 (unit-resolution (lemma @x1687 (or x11$ x17$)) @x897 x11$) $x397)))
   794 (let ((@x1692 (unit-resolution @x476 (unit-resolution (lemma @x1687 (or x11$ x17$)) @x897 x11$) $x468)))
   795 (let ((@x1695 (unit-resolution (unit-resolution @x1613 @x1665 (or x42$ x44$ x17$)) @x1692 @x897 x42$)))
   796 (let ((@x1700 (unit-resolution (unit-resolution @x769 @x1580 (or $x374 x45$ x12$ x38$)) (unit-resolution @x725 (unit-resolution @x452 @x1695 $x375) x5$) @x1676 @x1691 x45$)))
   797 (let ((@x1702 (unit-resolution @x1671 (unit-resolution @x563 @x1700 $x553) x22$)))
   798 (let ((@x1705 (unit-resolution (unit-resolution @x325 @x1665 (or x26$ x56$)) (unit-resolution @x612 @x1702 $x610) x26$)))
   799 (let ((@x1709 (unit-resolution @x222 (unit-resolution @x616 @x1702 $x539) @x897 @x1692 x16$)))
   800 (let ((@x1713 (unit-resolution @x269 (unit-resolution @x664 @x1705 $x596) (unit-resolution (asserted (or $x609 $x595)) @x1702 $x595) (unit-resolution @x527 @x1709 $x525) x20$)))
   801 (let ((@x1714 (unit-resolution @x590 @x1713 (unit-resolution @x307 (unit-resolution @x662 @x1705 $x657) x54$) false)))
   802 (let ((@x1715 (lemma @x1714 x17$)))
   803 (let ((@x1718 (unit-resolution (unit-resolution @x1569 @x1665 (or $x609 x11$)) (unit-resolution @x1671 (unit-resolution @x561 @x1715 $x553) x22$) x11$)))
   804 (let ((@x1722 (unit-resolution @x1662 (unit-resolution @x472 @x1718 $x467) (unit-resolution @x565 @x1715 $x482) $x355)))
   805 (unit-resolution @x1647 @x1722 (unit-resolution @x472 @x1718 $x467) (unit-resolution @x565 @x1715 $x482) (unit-resolution @x480 @x1718 $x397) false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   806 
   807 cc18a32517b61d11530e29950c780e58afa4da51 38 0
   808 unsat
   809 ((set-logic AUFLIA)
   810 (declare-fun ?v0!0 () Int)
   811 (declare-fun ?v1!1 () Int)
   812 (proof
   813 (let (($x48 (p$ ?v0!0)))
   814 (let (($x50 (not $x48)))
   815 (let (($x63 (not (or $x48 (p$ ?v1!1)))))
   816 (let ((@x77 (monotonicity (rewrite (= (not $x50) $x48)) (= (and (not $x50) $x63) (and $x48 $x63)))))
   817 (let (($x57 (not $x50)))
   818 (let (($x67 (and $x57 $x63)))
   819 (let (($x41 (forall ((?v0 Int) )(let (($x32 (forall ((?v1 Int) )(let (($x28 (p$ ?v1)))
   820 (or (p$ ?v0) $x28)))
   821 ))
   822 (or (not (p$ ?v0)) $x32)))
   823 ))
   824 (let (($x44 (not $x41)))
   825 (let (($x52 (forall ((?v1 Int) )(let (($x28 (p$ ?v1)))
   826 (let (($x48 (p$ ?v0!0)))
   827 (or $x48 $x28))))
   828 ))
   829 (let ((@x69 (nnf-neg (refl (~ $x57 $x57)) (sk (~ (not $x52) $x63)) (~ (not (or $x50 $x52)) $x67))))
   830 (let (($x34 (forall ((?v0 Int) )(let (($x32 (forall ((?v1 Int) )(let (($x28 (p$ ?v1)))
   831 (or (p$ ?v0) $x28)))
   832 ))
   833 (let (($x28 (p$ ?v0)))
   834 (=> $x28 $x32))))
   835 ))
   836 (let (($x35 (not $x34)))
   837 (let (($x32 (forall ((?v1 Int) )(let (($x28 (p$ ?v1)))
   838 (or (p$ ?0) $x28)))
   839 ))
   840 (let ((@x43 (quant-intro (rewrite (= (=> (p$ ?0) $x32) (or (not (p$ ?0)) $x32))) (= $x34 $x41))))
   841 (let ((@x72 (mp~ (mp (asserted $x35) (monotonicity @x43 (= $x35 $x44)) $x44) (trans (sk (~ $x44 (not (or $x50 $x52)))) @x69 (~ $x44 $x67)) $x67)))
   842 (let ((@x81 (not-or-elim (and-elim (mp @x72 @x77 (and $x48 $x63)) $x63) $x50)))
   843 (let ((@x79 (and-elim (mp @x72 @x77 (and $x48 $x63)) $x48)))
   844 (unit-resolution @x79 @x81 false))))))))))))))))))))
   845 
   846 f69da5e318af2ccb1aaa30033e9780c0075e7706 53 0
   847 unsat
   848 ((set-logic AUFLIA)
   849 (declare-fun ?v0!0 () A$)
   850 (proof
   851 (let (($x517 (forall ((?v0 A$) )(!(let (($x40 (p$ x$ ?v0)))
   852 (not $x40)) :pattern ( (p$ x$ ?v0) )))
   853 ))
   854 (let (($x44 (p$ x$ c$)))
   855 (let (($x91 (= $x44 x$)))
   856 (let (($x510 (forall ((?v0 Bool) (?v1 A$) )(!(let (($x29 (p$ ?v0 ?v1)))
   857 (= $x29 ?v0)) :pattern ( (p$ ?v0 ?v1) )))
   858 ))
   859 (let (($x36 (forall ((?v0 Bool) (?v1 A$) )(let (($x29 (p$ ?v0 ?v1)))
   860 (= $x29 ?v0)))
   861 ))
   862 (let ((@x514 (quant-intro (refl (= (= (p$ ?1 ?0) ?1) (= (p$ ?1 ?0) ?1))) (= $x36 $x510))))
   863 (let ((@x64 (nnf-pos (refl (~ (= (p$ ?1 ?0) ?1) (= (p$ ?1 ?0) ?1))) (~ $x36 $x36))))
   864 (let (($x31 (forall ((?v0 Bool) (?v1 A$) )(let (($x29 (p$ ?v0 ?v1)))
   865 (= $x29 ?v0)))
   866 ))
   867 (let ((@x38 (quant-intro (rewrite (= (= (p$ ?1 ?0) ?1) (= (p$ ?1 ?0) ?1))) (= $x31 $x36))))
   868 (let ((@x515 (mp (mp~ (mp (asserted $x31) @x38 $x36) @x64 $x36) @x514 $x510)))
   869 (let (($x170 (or (not $x510) $x91)))
   870 (let ((@x503 ((_ quant-inst x$ c$) $x170)))
   871 (let (($x73 (p$ x$ ?v0!0)))
   872 (let (($x179 (= $x73 x$)))
   873 (let (($x85 (or $x73 $x44)))
   874 (let (($x81 (not $x44)))
   875 (let (($x69 (forall ((?v0 A$) )(let (($x40 (p$ x$ ?v0)))
   876 (not $x40)))
   877 ))
   878 (let (($x84 (or $x69 $x81)))
   879 (let (($x42 (exists ((?v0 A$) )(p$ x$ ?v0))
   880 ))
   881 (let (($x54 (not $x42)))
   882 (let (($x55 (= $x54 $x44)))
   883 (let ((@x71 (nnf-neg (refl (~ (not (p$ x$ ?0)) (not (p$ x$ ?0)))) (~ $x54 $x69))))
   884 (let ((@x88 (nnf-pos @x71 (nnf-neg (sk (~ $x42 $x73)) (~ (not $x54) $x73)) (refl (~ $x44 $x44)) (refl (~ $x81 $x81)) (~ $x55 (and $x85 $x84)))))
   885 (let ((@x53 (monotonicity (rewrite (= (= $x42 $x44) (= $x42 $x44))) (= (not (= $x42 $x44)) (not (= $x42 $x44))))))
   886 (let ((@x59 (trans @x53 (rewrite (= (not (= $x42 $x44)) $x55)) (= (not (= $x42 $x44)) $x55))))
   887 (let ((@x89 (mp~ (mp (asserted (not (= $x42 $x44))) @x59 $x55) @x88 (and $x85 $x84))))
   888 (let ((@x92 (and-elim @x89 $x85)))
   889 (let ((@x484 (unit-resolution (def-axiom (or (not $x179) (not $x73) x$)) (unit-resolution @x92 (hypothesis $x81) $x73) (or (not $x179) x$))))
   890 (let ((@x145 (unit-resolution @x484 (unit-resolution ((_ quant-inst x$ ?v0!0) (or (not $x510) $x179)) @x515 $x179) x$)))
   891 (let ((@x147 (unit-resolution (def-axiom (or (not $x91) $x44 (not x$))) (hypothesis $x81) (or (not $x91) (not x$)))))
   892 (let ((@x485 (lemma (unit-resolution @x147 @x145 (unit-resolution @x503 @x515 $x91) false) $x44)))
   893 (let (($x522 (or $x517 $x81)))
   894 (let ((@x521 (quant-intro (refl (= (not (p$ x$ ?0)) (not (p$ x$ ?0)))) (= $x69 $x517))))
   895 (let ((@x525 (mp (and-elim @x89 $x84) (monotonicity @x521 (= $x84 $x522)) $x522)))
   896 (let (($x160 (or (not $x517) $x81)))
   897 (let ((@x161 ((_ quant-inst c$) $x160)))
   898 (unit-resolution @x161 @x485 (unit-resolution @x525 @x485 $x517) false)))))))))))))))))))))))))))))))))))))))
   899 
   900 853b35db7beb7a5b039f102f0403b2d296edcda0 53 0
   901 unsat
   902 ((set-logic AUFLIA)
   903 (declare-fun ?v0!3 () A$)
   904 (proof
   905 (let (($x584 (forall ((?v0 A$) )(!(let (($x52 (p$ x$ ?v0)))
   906 (not $x52)) :pattern ( (p$ x$ ?v0) )))
   907 ))
   908 (let (($x55 (p$ x$ c$)))
   909 (let (($x230 (= $x55 x$)))
   910 (let (($x561 (forall ((?v0 Bool) (?v1 A$) )(!(let (($x29 (p$ ?v0 ?v1)))
   911 (= $x29 ?v0)) :pattern ( (p$ ?v0 ?v1) )))
   912 ))
   913 (let (($x36 (forall ((?v0 Bool) (?v1 A$) )(let (($x29 (p$ ?v0 ?v1)))
   914 (= $x29 ?v0)))
   915 ))
   916 (let ((@x565 (quant-intro (refl (= (= (p$ ?1 ?0) ?1) (= (p$ ?1 ?0) ?1))) (= $x36 $x561))))
   917 (let ((@x75 (nnf-pos (refl (~ (= (p$ ?1 ?0) ?1) (= (p$ ?1 ?0) ?1))) (~ $x36 $x36))))
   918 (let (($x31 (forall ((?v0 Bool) (?v1 A$) )(let (($x29 (p$ ?v0 ?v1)))
   919 (= $x29 ?v0)))
   920 ))
   921 (let ((@x38 (quant-intro (rewrite (= (= (p$ ?1 ?0) ?1) (= (p$ ?1 ?0) ?1))) (= $x31 $x36))))
   922 (let ((@x566 (mp (mp~ (mp (asserted $x31) @x38 $x36) @x75 $x36) @x565 $x561)))
   923 (let (($x220 (or (not $x561) $x230)))
   924 (let ((@x221 ((_ quant-inst x$ c$) $x220)))
   925 (let (($x124 (p$ x$ ?v0!3)))
   926 (let (($x141 (= $x124 x$)))
   927 (let (($x136 (or $x124 $x55)))
   928 (let (($x132 (not $x55)))
   929 (let (($x120 (forall ((?v0 A$) )(let (($x52 (p$ x$ ?v0)))
   930 (not $x52)))
   931 ))
   932 (let (($x135 (or $x120 $x132)))
   933 (let (($x54 (exists ((?v0 A$) )(p$ x$ ?v0))
   934 ))
   935 (let (($x65 (not $x54)))
   936 (let (($x66 (= $x65 $x55)))
   937 (let ((@x122 (nnf-neg (refl (~ (not (p$ x$ ?0)) (not (p$ x$ ?0)))) (~ $x65 $x120))))
   938 (let ((@x139 (nnf-pos @x122 (nnf-neg (sk (~ $x54 $x124)) (~ (not $x65) $x124)) (refl (~ $x55 $x55)) (refl (~ $x132 $x132)) (~ $x66 (and $x136 $x135)))))
   939 (let ((@x64 (monotonicity (rewrite (= (= $x54 $x55) (= $x54 $x55))) (= (not (= $x54 $x55)) (not (= $x54 $x55))))))
   940 (let ((@x70 (trans @x64 (rewrite (= (not (= $x54 $x55)) $x66)) (= (not (= $x54 $x55)) $x66))))
   941 (let ((@x140 (mp~ (mp (asserted (not (= $x54 $x55))) @x70 $x66) @x139 (and $x136 $x135))))
   942 (let ((@x143 (and-elim @x140 $x136)))
   943 (let ((@x193 (unit-resolution (def-axiom (or (not $x141) (not $x124) x$)) (unit-resolution @x143 (hypothesis $x132) $x124) (or (not $x141) x$))))
   944 (let ((@x535 (unit-resolution @x193 (unit-resolution ((_ quant-inst x$ ?v0!3) (or (not $x561) $x141)) @x566 $x141) x$)))
   945 (let ((@x197 (unit-resolution (def-axiom (or (not $x230) $x55 (not x$))) (hypothesis $x132) (or (not $x230) (not x$)))))
   946 (let ((@x199 (lemma (unit-resolution @x197 @x535 (unit-resolution @x221 @x566 $x230) false) $x55)))
   947 (let (($x589 (or $x584 $x132)))
   948 (let ((@x588 (quant-intro (refl (= (not (p$ x$ ?0)) (not (p$ x$ ?0)))) (= $x120 $x584))))
   949 (let ((@x592 (mp (and-elim @x140 $x135) (monotonicity @x588 (= $x135 $x589)) $x589)))
   950 (let (($x549 (or (not $x584) $x132)))
   951 (let ((@x211 ((_ quant-inst c$) $x549)))
   952 (unit-resolution @x211 @x199 (unit-resolution @x592 @x199 $x584) false)))))))))))))))))))))))))))))))))))))))
   953 
   954 ee1b9a27124d1797593a214fc9b1585b73aca864 26 0
   955 unsat
   956 ((set-logic AUFLIA)
   957 (proof
   958 (let (($x28 (p$ x$)))
   959 (let ((@x48 (monotonicity (rewrite (= (=> $x28 (p$ y$)) (or (not $x28) (p$ y$)))) (= (not (=> $x28 (p$ y$))) (not (or (not $x28) (p$ y$)))))))
   960 (let ((@x51 (mp (asserted (not (=> $x28 (p$ y$)))) @x48 (not (or (not $x28) (p$ y$))))))
   961 (let ((@x49 (not-or-elim @x51 $x28)))
   962 (let (($x486 (forall ((?v0 A$) )(!(let (($x30 (p$ ?v0)))
   963 (not $x30)) :pattern ( (p$ ?v0) )))
   964 ))
   965 (let (($x34 (forall ((?v0 A$) )(let (($x30 (p$ ?v0)))
   966 (not $x30)))
   967 ))
   968 (let ((@x490 (quant-intro (refl (= (not (p$ ?0)) (not (p$ ?0)))) (= $x34 $x486))))
   969 (let (($x31 (exists ((?v0 A$) )(p$ ?v0))
   970 ))
   971 (let (($x32 (not $x31)))
   972 (let ((@x59 (monotonicity (iff-true @x49 (= $x28 true)) (= (ite $x28 $x32 $x34) (ite true $x32 $x34)))))
   973 (let ((@x63 (trans @x59 (rewrite (= (ite true $x32 $x34) $x32)) (= (ite $x28 $x32 $x34) $x32))))
   974 (let ((@x67 (mp~ (mp (asserted (ite $x28 $x32 $x34)) @x63 $x32) (nnf-neg (refl (~ (not (p$ ?0)) (not (p$ ?0)))) (~ $x32 $x34)) $x34)))
   975 (let ((@x491 (mp @x67 @x490 $x486)))
   976 (let (($x42 (not $x28)))
   977 (let (($x156 (or (not $x486) $x42)))
   978 (let ((@x70 ((_ quant-inst x$) $x156)))
   979 (unit-resolution @x70 @x491 @x49 false)))))))))))))))))))
   980 
   981 1b3bdde0d609ebf7ad7472d1510134c9c367d283 7 0
   982 unsat
   983 ((set-logic AUFLIA)
   984 (proof
   985 (let ((@x35 (monotonicity (rewrite (= (= 3 3) true)) (= (not (= 3 3)) (not true)))))
   986 (let ((@x39 (trans @x35 (rewrite (= (not true) false)) (= (not (= 3 3)) false))))
   987 (mp (asserted (not (= 3 3))) @x39 false)))))
   988 
   989 a90c5a0ce94c691b0e4756f87e5d5fdbfd876893 7 0
   990 unsat
   991 ((set-logic AUFLIRA)
   992 (proof
   993 (let ((@x35 (monotonicity (rewrite (= (= 3.0 3.0) true)) (= (not (= 3.0 3.0)) (not true)))))
   994 (let ((@x39 (trans @x35 (rewrite (= (not true) false)) (= (not (= 3.0 3.0)) false))))
   995 (mp (asserted (not (= 3.0 3.0))) @x39 false)))))
   996 
   997 16d237209133b15bdc9c24699c793f8bdc748cd0 9 0
   998 unsat
   999 ((set-logic AUFLIA)
  1000 (proof
  1001 (let ((@x37 (monotonicity (rewrite (= (+ 3 1) 4)) (= (= (+ 3 1) 4) (= 4 4)))))
  1002 (let ((@x41 (trans @x37 (rewrite (= (= 4 4) true)) (= (= (+ 3 1) 4) true))))
  1003 (let ((@x44 (monotonicity @x41 (= (not (= (+ 3 1) 4)) (not true)))))
  1004 (let ((@x48 (trans @x44 (rewrite (= (not true) false)) (= (not (= (+ 3 1) 4)) false))))
  1005 (mp (asserted (not (= (+ 3 1) 4))) @x48 false)))))))
  1006 
  1007 bc021898e31cb7c6419a072d70191b97605bee76 16 0
  1008 unsat
  1009 ((set-logic AUFLIA)
  1010 (proof
  1011 (let ((?x32 (+ z$ x$)))
  1012 (let ((?x33 (+ y$ ?x32)))
  1013 (let ((?x30 (+ y$ z$)))
  1014 (let ((?x31 (+ x$ ?x30)))
  1015 (let (($x34 (= ?x31 ?x33)))
  1016 (let (($x35 (not $x34)))
  1017 (let ((@x45 (monotonicity (rewrite (= ?x32 (+ x$ z$))) (= ?x33 (+ y$ (+ x$ z$))))))
  1018 (let ((@x49 (trans @x45 (rewrite (= (+ y$ (+ x$ z$)) (+ x$ y$ z$))) (= ?x33 (+ x$ y$ z$)))))
  1019 (let ((@x52 (monotonicity (rewrite (= ?x31 (+ x$ y$ z$))) @x49 (= $x34 (= (+ x$ y$ z$) (+ x$ y$ z$))))))
  1020 (let ((@x56 (trans @x52 (rewrite (= (= (+ x$ y$ z$) (+ x$ y$ z$)) true)) (= $x34 true))))
  1021 (let ((@x63 (trans (monotonicity @x56 (= $x35 (not true))) (rewrite (= (not true) false)) (= $x35 false))))
  1022 (mp (asserted $x35) @x63 false))))))))))))))
  1023 
  1024 31045f736583ed0b58ba51e123c31f8bb6c0267d 11 0
  1025 unsat
  1026 ((set-logic AUFLIA)
  1027 (proof
  1028 (let ((@x41 (monotonicity (rewrite (= (<= 3 8) true)) (= (ite (<= 3 8) 8 3) (ite true 8 3)))))
  1029 (let ((@x45 (trans @x41 (rewrite (= (ite true 8 3) 8)) (= (ite (<= 3 8) 8 3) 8))))
  1030 (let ((@x48 (monotonicity @x45 (= (< 5 (ite (<= 3 8) 8 3)) (< 5 8)))))
  1031 (let ((@x52 (trans @x48 (rewrite (= (< 5 8) true)) (= (< 5 (ite (<= 3 8) 8 3)) true))))
  1032 (let ((@x55 (monotonicity @x52 (= (not (< 5 (ite (<= 3 8) 8 3))) (not true)))))
  1033 (let ((@x59 (trans @x55 (rewrite (= (not true) false)) (= (not (< 5 (ite (<= 3 8) 8 3))) false))))
  1034 (mp (asserted (not (< 5 (ite (<= 3 8) 8 3)))) @x59 false)))))))))
  1035 
  1036 2d63144daf211d89368e355b9b23a3b5118b7ba9 88 0
  1037 unsat
  1038 ((set-logic AUFLIRA)
  1039 (proof
  1040 (let ((?x44 (* (- 1.0) x$)))
  1041 (let (($x83 (>= x$ 0.0)))
  1042 (let ((?x90 (ite $x83 x$ ?x44)))
  1043 (let ((?x113 (* (- 1.0) ?x90)))
  1044 (let ((?x148 (+ x$ ?x113)))
  1045 (let (($x149 (<= ?x148 0.0)))
  1046 (let (($x133 (= x$ ?x90)))
  1047 (let ((?x45 (* (- 1.0) y$)))
  1048 (let ((?x46 (+ ?x44 ?x45)))
  1049 (let ((?x29 (+ x$ y$)))
  1050 (let (($x71 (>= ?x29 0.0)))
  1051 (let ((?x78 (ite $x71 ?x29 ?x46)))
  1052 (let ((?x151 (* (- 1.0) ?x78)))
  1053 (let ((?x179 (+ ?x46 ?x151)))
  1054 (let (($x181 (>= ?x179 0.0)))
  1055 (let (($x130 (= ?x46 ?x78)))
  1056 (let (($x72 (not $x71)))
  1057 (let (($x95 (>= y$ 0.0)))
  1058 (let (($x96 (not $x95)))
  1059 (let (($x154 (>= (+ ?x29 ?x151) 0.0)))
  1060 (let (($x129 (= ?x29 ?x78)))
  1061 (let (($x190 (not $x181)))
  1062 (let ((@x155 (hypothesis $x95)))
  1063 (let ((?x102 (ite $x95 y$ ?x45)))
  1064 (let ((?x114 (* (- 1.0) ?x102)))
  1065 (let ((?x115 (+ ?x78 ?x113 ?x114)))
  1066 (let (($x116 (<= ?x115 0.0)))
  1067 (let (($x121 (not $x116)))
  1068 (let ((?x39 (+ (ite (< x$ 0.0) (- x$) x$) (ite (< y$ 0.0) (- y$) y$))))
  1069 (let (($x41 (not (<= (ite (< ?x29 0.0) (- ?x29) ?x29) ?x39))))
  1070 (let (($x36 (< y$ 0.0)))
  1071 (let ((?x59 (ite $x36 ?x45 y$)))
  1072 (let (($x33 (< x$ 0.0)))
  1073 (let ((?x54 (ite $x33 ?x44 x$)))
  1074 (let ((?x62 (+ ?x54 ?x59)))
  1075 (let (($x30 (< ?x29 0.0)))
  1076 (let ((?x49 (ite $x30 ?x46 ?x29)))
  1077 (let (($x65 (<= ?x49 ?x62)))
  1078 (let ((@x106 (trans (monotonicity (rewrite (= $x36 $x96)) (= ?x59 (ite $x96 ?x45 y$))) (rewrite (= (ite $x96 ?x45 y$) ?x102)) (= ?x59 ?x102))))
  1079 (let ((@x89 (monotonicity (rewrite (= $x33 (not $x83))) (= ?x54 (ite (not $x83) ?x44 x$)))))
  1080 (let ((@x94 (trans @x89 (rewrite (= (ite (not $x83) ?x44 x$) ?x90)) (= ?x54 ?x90))))
  1081 (let ((@x82 (trans (monotonicity (rewrite (= $x30 $x72)) (= ?x49 (ite $x72 ?x46 ?x29))) (rewrite (= (ite $x72 ?x46 ?x29) ?x78)) (= ?x49 ?x78))))
  1082 (let ((@x112 (monotonicity @x82 (monotonicity @x94 @x106 (= ?x62 (+ ?x90 ?x102))) (= $x65 (<= ?x78 (+ ?x90 ?x102))))))
  1083 (let ((@x120 (trans @x112 (rewrite (= (<= ?x78 (+ ?x90 ?x102)) $x116)) (= $x65 $x116))))
  1084 (let ((@x61 (monotonicity (rewrite (= (- y$) ?x45)) (= (ite $x36 (- y$) y$) ?x59))))
  1085 (let ((@x56 (monotonicity (rewrite (= (- x$) ?x44)) (= (ite $x33 (- x$) x$) ?x54))))
  1086 (let ((@x51 (monotonicity (rewrite (= (- ?x29) ?x46)) (= (ite $x30 (- ?x29) ?x29) ?x49))))
  1087 (let ((@x67 (monotonicity @x51 (monotonicity @x56 @x61 (= ?x39 ?x62)) (= (<= (ite $x30 (- ?x29) ?x29) ?x39) $x65))))
  1088 (let ((@x125 (trans (monotonicity @x67 (= $x41 (not $x65))) (monotonicity @x120 (= (not $x65) $x121)) (= $x41 $x121))))
  1089 (let ((@x126 (mp (asserted $x41) @x125 $x121)))
  1090 (let (($x139 (= y$ ?x102)))
  1091 (let ((@x169 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x139) (<= (+ y$ ?x114) 0.0))) (unit-resolution (def-axiom (or $x96 $x139)) @x155 $x139) (<= (+ y$ ?x114) 0.0))))
  1092 (let ((?x150 (+ ?x44 ?x113)))
  1093 (let (($x153 (<= ?x150 0.0)))
  1094 (let (($x134 (= ?x44 ?x90)))
  1095 (let (($x84 (not $x83)))
  1096 (let ((@x159 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1) (or $x71 $x84 $x96)) (hypothesis $x83) @x155 $x71)))
  1097 (let ((@x128 (def-axiom (or $x72 $x129))))
  1098 (let ((@x163 ((_ th-lemma arith triangle-eq) (or (not $x129) $x154))))
  1099 (let ((@x173 ((_ th-lemma arith triangle-eq) (or (not $x133) $x149))))
  1100 (let ((@x174 (unit-resolution @x173 (unit-resolution (def-axiom (or $x84 $x133)) (hypothesis $x83) $x133) $x149)))
  1101 (let ((@x175 ((_ th-lemma arith farkas -1 -1 1 1) @x174 @x169 @x126 (unit-resolution @x163 (unit-resolution @x128 @x159 $x129) $x154) false)))
  1102 (let ((@x138 (def-axiom (or $x83 $x134))))
  1103 (let ((@x184 (unit-resolution @x138 (unit-resolution (lemma @x175 (or $x84 $x96)) @x155 $x84) $x134)))
  1104 (let ((@x189 ((_ th-lemma arith farkas 2 -1 -1 1 1) @x155 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x134) $x153)) @x184 $x153) @x169 @x126 (hypothesis $x181) false)))
  1105 (let ((@x198 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x130) $x181)) (hypothesis $x130) (hypothesis $x190) false)))
  1106 (let ((@x199 (lemma @x198 (or (not $x130) $x181))))
  1107 (let ((@x201 (unit-resolution @x199 (unit-resolution (lemma @x189 (or $x190 $x96)) @x155 $x190) (not $x130))))
  1108 (let ((@x132 (def-axiom (or $x71 $x130))))
  1109 (let ((@x204 (unit-resolution @x163 (unit-resolution @x128 (unit-resolution @x132 @x201 $x71) $x129) $x154)))
  1110 (let ((@x205 ((_ th-lemma arith farkas 2 1 1 1 1) (unit-resolution (lemma @x175 (or $x84 $x96)) @x155 $x84) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x134) $x153)) @x184 $x153) @x169 @x126 @x204 false)))
  1111 (let ((@x206 (lemma @x205 $x96)))
  1112 (let ((@x212 (unit-resolution ((_ th-lemma arith assign-bounds 1 1) (or $x83 $x95 $x72)) (hypothesis $x71) @x206 $x83)))
  1113 (let ((@x136 (def-axiom (or $x84 $x133))))
  1114 (let ((@x216 (unit-resolution @x163 (unit-resolution @x128 (hypothesis $x71) $x129) $x154)))
  1115 (let ((?x147 (+ ?x45 ?x114)))
  1116 (let (($x178 (<= ?x147 0.0)))
  1117 (let (($x140 (= ?x45 ?x102)))
  1118 (let ((@x221 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x140) $x178)) (unit-resolution (def-axiom (or $x95 $x140)) @x206 $x140) $x178)))
  1119 (let ((@x222 ((_ th-lemma arith farkas 2 1 1 1 1) @x206 @x221 @x126 @x216 (unit-resolution @x173 (unit-resolution @x136 @x212 $x133) $x149) false)))
  1120 (let ((@x226 (unit-resolution @x199 (unit-resolution @x132 (lemma @x222 $x72) $x130) $x181)))
  1121 (let ((@x231 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x134) $x153)) (hypothesis $x134) (lemma ((_ th-lemma arith farkas 1 -1 -1 1) @x221 @x126 @x226 (hypothesis $x153) false) (not $x153)) false)))
  1122 (let ((@x234 (unit-resolution @x136 (unit-resolution @x138 (lemma @x231 (not $x134)) $x83) $x133)))
  1123 ((_ th-lemma arith farkas -2 1 -1 -1 1) (unit-resolution @x138 (lemma @x231 (not $x134)) $x83) @x221 @x126 @x226 (unit-resolution @x173 @x234 $x149) false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  1124 
  1125 bc11d479eb44aa63c2efc812af856ec331477415 16 0
  1126 unsat
  1127 ((set-logic AUFLIA)
  1128 (proof
  1129 (let ((?x32 (p$ true)))
  1130 (let (($x29 (< 2 3)))
  1131 (let (($x30 (ite $x29 true false)))
  1132 (let ((?x31 (p$ $x30)))
  1133 (let (($x33 (= ?x31 ?x32)))
  1134 (let (($x34 (not $x33)))
  1135 (let ((@x52 (monotonicity (monotonicity (rewrite (= $x29 true)) (= (p$ $x29) ?x32)) (= (= (p$ $x29) ?x32) (= ?x32 ?x32)))))
  1136 (let ((@x56 (trans @x52 (rewrite (= (= ?x32 ?x32) true)) (= (= (p$ $x29) ?x32) true))))
  1137 (let ((@x63 (trans (monotonicity @x56 (= (not (= (p$ $x29) ?x32)) (not true))) (rewrite (= (not true) false)) (= (not (= (p$ $x29) ?x32)) false))))
  1138 (let ((@x43 (monotonicity (monotonicity (rewrite (= $x30 $x29)) (= ?x31 (p$ $x29))) (= $x33 (= (p$ $x29) ?x32)))))
  1139 (let ((@x46 (monotonicity @x43 (= $x34 (not (= (p$ $x29) ?x32))))))
  1140 (mp (asserted $x34) (trans @x46 @x63 (= $x34 false)) false))))))))))))))
  1141 
  1142 d63ee5062f9a1d0a0bd17f51adaa0ac5e8f9ec16 16 0
  1143 unsat
  1144 ((set-logic AUFLIA)
  1145 (proof
  1146 (let (($x33 (< x$ 1)))
  1147 (let ((?x37 (+ 3 x$)))
  1148 (let (($x40 (<= 4 ?x37)))
  1149 (let (($x43 (or $x40 $x33)))
  1150 (let (($x46 (not $x43)))
  1151 (let ((@x57 (monotonicity (rewrite (= $x40 (>= x$ 1))) (rewrite (= $x33 (not (>= x$ 1)))) (= $x43 (or (>= x$ 1) (not (>= x$ 1)))))))
  1152 (let ((@x61 (trans @x57 (rewrite (= (or (>= x$ 1) (not (>= x$ 1))) true)) (= $x43 true))))
  1153 (let ((@x68 (trans (monotonicity @x61 (= $x46 (not true))) (rewrite (= (not true) false)) (= $x46 false))))
  1154 (let ((@x42 (monotonicity (rewrite (= (+ x$ 3) ?x37)) (= (<= 4 (+ x$ 3)) $x40))))
  1155 (let ((@x48 (monotonicity (monotonicity @x42 (= (or (<= 4 (+ x$ 3)) $x33) $x43)) (= (not (or (<= 4 (+ x$ 3)) $x33)) $x46))))
  1156 (let ((@x70 (trans @x48 @x68 (= (not (or (<= 4 (+ x$ 3)) $x33)) false))))
  1157 (mp (asserted (not (or (<= 4 (+ x$ 3)) $x33))) @x70 false))))))))))))))
  1158 
  1159 ea0e16fa50db2870878476eccdef4f64568acd55 18 0
  1160 unsat
  1161 ((set-logic AUFLIA)
  1162 (proof
  1163 (let (($x51 (= (+ x$ (* (- 1) y$)) (- 4))))
  1164 (let ((@x45 (monotonicity (rewrite (= (+ x$ 4) (+ 4 x$))) (= (= y$ (+ x$ 4)) (= y$ (+ 4 x$))))))
  1165 (let ((@x54 (trans @x45 (rewrite (= (= y$ (+ 4 x$)) $x51)) (= (= y$ (+ x$ 4)) $x51))))
  1166 (let ((@x88 (monotonicity (mp (asserted (= y$ (+ x$ 4))) @x54 $x51) (= (>= (+ x$ (* (- 1) y$)) 0) (>= (- 4) 0)))))
  1167 (let ((@x90 (trans @x88 (rewrite (= (>= (- 4) 0) false)) (= (>= (+ x$ (* (- 1) y$)) 0) false))))
  1168 (let (($x70 (>= (+ x$ (* (- 1) y$)) 0)))
  1169 (let ((@x76 (monotonicity (rewrite (= (< 0 (+ (* (- 1) x$) y$)) (not $x70))) (= (not (< 0 (+ (* (- 1) x$) y$))) (not (not $x70))))))
  1170 (let ((@x80 (trans @x76 (rewrite (= (not (not $x70)) $x70)) (= (not (< 0 (+ (* (- 1) x$) y$))) $x70))))
  1171 (let (($x64 (< 0 (+ (* (- 1) x$) y$))))
  1172 (let (($x67 (not $x64)))
  1173 (let (($x58 (not (< 0 (- y$ x$)))))
  1174 (let ((@x66 (monotonicity (rewrite (= (- y$ x$) (+ (* (- 1) x$) y$))) (= (< 0 (- y$ x$)) $x64))))
  1175 (let ((@x83 (mp (asserted $x58) (trans (monotonicity @x66 (= $x58 $x67)) @x80 (= $x58 $x70)) $x70)))
  1176 (mp @x83 @x90 false))))))))))))))))
  1177 
  1178 2389277f3547499e520f2b3ac28991b30ac7c1a8 11 0
  1179 unsat
  1180 ((set-logic AUFLIA)
  1181 (proof
  1182 (let ((@x39 (monotonicity (rewrite (= (+ 2 2) 4)) (= (= (+ 2 2) 5) (= 4 5)))))
  1183 (let ((@x43 (trans @x39 (rewrite (= (= 4 5) false)) (= (= (+ 2 2) 5) false))))
  1184 (let ((@x46 (monotonicity @x43 (= (not (= (+ 2 2) 5)) (not false)))))
  1185 (let ((@x50 (trans @x46 (rewrite (= (not false) true)) (= (not (= (+ 2 2) 5)) true))))
  1186 (let ((@x53 (monotonicity @x50 (= (not (not (= (+ 2 2) 5))) (not true)))))
  1187 (let ((@x57 (trans @x53 (rewrite (= (not true) false)) (= (not (not (= (+ 2 2) 5))) false))))
  1188 (mp (asserted (not (not (= (+ 2 2) 5)))) @x57 false)))))))))
  1189 
  1190 dfbbe6f3879b3c49e6d5f7ecff4f8f81ed746bd4 19 0
  1191 unsat
  1192 ((set-logic AUFLIRA)
  1193 (proof
  1194 (let ((?x32 (* 7.0 a$)))
  1195 (let ((?x29 (* 3.0 x$)))
  1196 (let ((?x33 (+ ?x29 ?x32)))
  1197 (let (($x43 (>= ?x33 4.0)))
  1198 (let (($x41 (not $x43)))
  1199 (let ((@x40 (mp (asserted (< ?x33 4.0)) (rewrite (= (< ?x33 4.0) $x41)) $x41)))
  1200 (let ((?x38 (* 2.0 x$)))
  1201 (let (($x48 (<= ?x38 3.0)))
  1202 (let (($x49 (not $x48)))
  1203 (let ((@x52 (mp (asserted (< 3.0 ?x38)) (rewrite (= (< 3.0 ?x38) $x49)) $x49)))
  1204 (let (($x58 (>= a$ 0.0)))
  1205 (let ((@x62 (monotonicity (rewrite (= (< a$ 0.0) (not $x58))) (= (not (< a$ 0.0)) (not (not $x58))))))
  1206 (let ((@x66 (trans @x62 (rewrite (= (not (not $x58)) $x58)) (= (not (< a$ 0.0)) $x58))))
  1207 (let ((@x67 (mp (asserted (not (< a$ 0.0))) @x66 $x58)))
  1208 ((_ th-lemma arith farkas 7 3/2 1) @x67 @x52 @x40 false)))))))))))))))))
  1209 
  1210 b9f61649fae66ac195bf2593181f9d76c958bfe2 22 0
  1211 unsat
  1212 ((set-logic AUFLIA)
  1213 (proof
  1214 (let (($x38 (not false)))
  1215 (let (($x34 (<= 0 x$)))
  1216 (let (($x35 (not $x34)))
  1217 (let (($x36 (or $x35 $x34)))
  1218 (let ((?x29 (- 1)))
  1219 (let ((?x31 (* ?x29 x$)))
  1220 (let ((?x32 (+ y$ ?x31)))
  1221 (let (($x33 (<= 0 ?x32)))
  1222 (let (($x37 (or $x33 $x36)))
  1223 (let (($x39 (= $x37 $x38)))
  1224 (let (($x40 (not $x39)))
  1225 (let ((@x60 (rewrite (= (or (<= 0 (+ y$ (* (- 1) x$))) true) true))))
  1226 (let ((@x50 (monotonicity (monotonicity (rewrite (= ?x29 (- 1))) (= ?x31 (* (- 1) x$))) (= ?x32 (+ y$ (* (- 1) x$))))))
  1227 (let ((@x58 (monotonicity (monotonicity @x50 (= $x33 (<= 0 (+ y$ (* (- 1) x$))))) (rewrite (= $x36 true)) (= $x37 (or (<= 0 (+ y$ (* (- 1) x$))) true)))))
  1228 (let ((@x67 (monotonicity (trans @x58 @x60 (= $x37 true)) (rewrite (= $x38 true)) (= $x39 (= true true)))))
  1229 (let ((@x71 (trans @x67 (rewrite (= (= true true) true)) (= $x39 true))))
  1230 (let ((@x78 (trans (monotonicity @x71 (= $x40 (not true))) (rewrite (= (not true) false)) (= $x40 false))))
  1231 (mp (asserted $x40) @x78 false))))))))))))))))))))
  1232 
  1233 7d3773a9d63ce2ada82ac001b84291cdc85d7ab8 159 0
  1234 unsat
  1235 ((set-logic AUFLIA)
  1236 (proof
  1237 (let (($x44 (= m$ n$)))
  1238 (let ((@x480 (symm (commutativity (= $x44 (= n$ m$))) (= (= n$ m$) $x44))))
  1239 (let (($x40 (= n$ m$)))
  1240 (let ((?x102 (* (- 1) m$)))
  1241 (let ((?x103 (+ n$ ?x102)))
  1242 (let (($x118 (>= ?x103 0)))
  1243 (let ((?x78 (* (- 1) n$a)))
  1244 (let ((?x96 (+ m$ ?x78)))
  1245 (let (($x127 (<= ?x96 0)))
  1246 (let ((?x79 (+ n$ ?x78)))
  1247 (let (($x88 (>= ?x79 0)))
  1248 (let (($x239 (or $x88 $x127)))
  1249 (let ((@x251 (monotonicity (rewrite (= (and (not $x88) (not $x127)) (not $x239))) (= (not (and (not $x88) (not $x127))) (not (not $x239))))))
  1250 (let ((@x271 (trans @x251 (rewrite (= (not (not $x239)) $x239)) (= (not (and (not $x88) (not $x127))) $x239))))
  1251 (let (($x128 (not $x127)))
  1252 (let (($x87 (not $x88)))
  1253 (let (($x143 (and $x87 $x128)))
  1254 (let (($x210 (not $x143)))
  1255 (let (($x50 (= n$a m$)))
  1256 (let (($x57 (and $x50 $x44)))
  1257 (let (($x80 (<= ?x79 0)))
  1258 (let (($x81 (not $x80)))
  1259 (let (($x33 (= m$ n$a)))
  1260 (let (($x84 (and $x33 $x81)))
  1261 (let (($x91 (and $x44 $x87)))
  1262 (let (($x95 (>= ?x96 0)))
  1263 (let (($x94 (not $x95)))
  1264 (let (($x99 (and $x94 $x81)))
  1265 (let (($x48 (= n$a n$)))
  1266 (let (($x104 (<= ?x103 0)))
  1267 (let (($x105 (not $x104)))
  1268 (let (($x108 (and $x105 $x48)))
  1269 (let (($x111 (and $x105 $x87)))
  1270 (let (($x114 (and $x50 $x105)))
  1271 (let (($x117 (not $x118)))
  1272 (let (($x121 (and $x48 $x117)))
  1273 (let (($x124 (and $x81 $x117)))
  1274 (let (($x131 (and $x128 $x44)))
  1275 (let (($x134 (and $x128 $x105)))
  1276 (let (($x137 (and $x40 $x94)))
  1277 (let (($x38 (= n$ n$a)))
  1278 (let (($x140 (and $x38 $x128)))
  1279 (let (($x146 (and $x117 $x33)))
  1280 (let (($x149 (and $x117 $x94)))
  1281 (let (($x197 (or $x149 $x146 $x143 $x140 $x137 $x134 $x131 $x124 $x121 $x114 $x111 $x108 $x99 $x91 $x84 $x57)))
  1282 (let (($x60 (or (and (< m$ n$a) (< n$a n$)) (or (and $x44 (< n$ n$a)) (or (and $x33 (< n$a n$)) $x57)))))
  1283 (let (($x62 (or (and (< m$ n$) (< n$ n$a)) (or (and (< m$ n$) $x48) $x60))))
  1284 (let (($x65 (or (and (< n$a n$) (< n$ m$)) (or (and $x48 (< n$ m$)) (or (and $x50 (< m$ n$)) $x62)))))
  1285 (let (($x67 (or (and (< n$a m$) (< m$ n$)) (or (and (< n$a m$) $x44) $x65))))
  1286 (let (($x70 (or (and (< n$ n$a) (< n$a m$)) (or (and $x38 (< n$a m$)) (or (and $x40 (< m$ n$a)) $x67)))))
  1287 (let (($x72 (or (and (< n$ m$) (< m$ n$a)) (or (and (< n$ m$) $x33) $x70))))
  1288 (let (($x73 (not $x72)))
  1289 (let (($x170 (or $x121 (or $x114 (or $x111 (or $x108 (or $x99 (or $x91 (or $x84 $x57)))))))))
  1290 (let (($x191 (or $x146 (or $x143 (or $x140 (or $x137 (or $x134 (or $x131 (or $x124 $x170)))))))))
  1291 (let (($x189 (= $x70 (or $x143 (or $x140 (or $x137 (or $x134 (or $x131 (or $x124 $x170)))))))))
  1292 (let (($x186 (= (or (and $x38 (< n$a m$)) (or (and $x40 (< m$ n$a)) $x67)) (or $x140 (or $x137 (or $x134 (or $x131 (or $x124 $x170))))))))
  1293 (let (($x183 (= (or (and $x40 (< m$ n$a)) $x67) (or $x137 (or $x134 (or $x131 (or $x124 $x170)))))))
  1294 (let (($x171 (= (or (and $x48 (< n$ m$)) (or (and $x50 (< m$ n$)) $x62)) $x170)))
  1295 (let (($x168 (= (or (and $x50 (< m$ n$)) $x62) (or $x114 (or $x111 (or $x108 (or $x99 (or $x91 (or $x84 $x57)))))))))
  1296 (let (($x162 (= (or (and (< m$ n$) $x48) $x60) (or $x108 (or $x99 (or $x91 (or $x84 $x57)))))))
  1297 (let (($x156 (= (or (and $x44 (< n$ n$a)) (or (and $x33 (< n$a n$)) $x57)) (or $x91 (or $x84 $x57)))))
  1298 (let ((@x83 (rewrite (= (< n$a n$) $x81))))
  1299 (let ((@x154 (monotonicity (monotonicity @x83 (= (and $x33 (< n$a n$)) $x84)) (= (or (and $x33 (< n$a n$)) $x57) (or $x84 $x57)))))
  1300 (let ((@x90 (rewrite (= (< n$ n$a) $x87))))
  1301 (let ((@x157 (monotonicity (monotonicity @x90 (= (and $x44 (< n$ n$a)) $x91)) @x154 $x156)))
  1302 (let ((@x98 (rewrite (= (< m$ n$a) $x94))))
  1303 (let ((@x101 (monotonicity @x98 @x83 (= (and (< m$ n$a) (< n$a n$)) $x99))))
  1304 (let ((@x160 (monotonicity @x101 @x157 (= $x60 (or $x99 (or $x91 (or $x84 $x57)))))))
  1305 (let ((@x107 (rewrite (= (< m$ n$) $x105))))
  1306 (let ((@x163 (monotonicity (monotonicity @x107 (= (and (< m$ n$) $x48) $x108)) @x160 $x162)))
  1307 (let ((@x113 (monotonicity @x107 @x90 (= (and (< m$ n$) (< n$ n$a)) $x111))))
  1308 (let ((@x166 (monotonicity @x113 @x163 (= $x62 (or $x111 (or $x108 (or $x99 (or $x91 (or $x84 $x57)))))))))
  1309 (let ((@x169 (monotonicity (monotonicity @x107 (= (and $x50 (< m$ n$)) $x114)) @x166 $x168)))
  1310 (let ((@x120 (rewrite (= (< n$ m$) $x117))))
  1311 (let ((@x172 (monotonicity (monotonicity @x120 (= (and $x48 (< n$ m$)) $x121)) @x169 $x171)))
  1312 (let ((@x126 (monotonicity @x83 @x120 (= (and (< n$a n$) (< n$ m$)) $x124))))
  1313 (let ((@x130 (rewrite (= (< n$a m$) $x128))))
  1314 (let ((@x178 (monotonicity (monotonicity @x130 (= (and (< n$a m$) $x44) $x131)) (monotonicity @x126 @x172 (= $x65 (or $x124 $x170))) (= (or (and (< n$a m$) $x44) $x65) (or $x131 (or $x124 $x170))))))
  1315 (let ((@x136 (monotonicity @x130 @x107 (= (and (< n$a m$) (< m$ n$)) $x134))))
  1316 (let ((@x181 (monotonicity @x136 @x178 (= $x67 (or $x134 (or $x131 (or $x124 $x170)))))))
  1317 (let ((@x184 (monotonicity (monotonicity @x98 (= (and $x40 (< m$ n$a)) $x137)) @x181 $x183)))
  1318 (let ((@x187 (monotonicity (monotonicity @x130 (= (and $x38 (< n$a m$)) $x140)) @x184 $x186)))
  1319 (let ((@x145 (monotonicity @x90 @x130 (= (and (< n$ n$a) (< n$a m$)) $x143))))
  1320 (let ((@x193 (monotonicity (monotonicity @x120 (= (and (< n$ m$) $x33) $x146)) (monotonicity @x145 @x187 $x189) (= (or (and (< n$ m$) $x33) $x70) $x191))))
  1321 (let ((@x151 (monotonicity @x120 @x98 (= (and (< n$ m$) (< m$ n$a)) $x149))))
  1322 (let ((@x201 (trans (monotonicity @x151 @x193 (= $x72 (or $x149 $x191))) (rewrite (= (or $x149 $x191) $x197)) (= $x72 $x197))))
  1323 (let ((@x205 (mp (asserted $x73) (monotonicity @x201 (= $x73 (not $x197))) (not $x197))))
  1324 (let ((@x272 (mp (not-or-elim @x205 $x210) @x271 $x239)))
  1325 (let (($x273 (not $x38)))
  1326 (let (($x274 (or $x273 $x127)))
  1327 (let ((@x280 (monotonicity (rewrite (= $x140 (not $x274))) (= (not $x140) (not (not $x274))))))
  1328 (let ((@x284 (trans @x280 (rewrite (= (not (not $x274)) $x274)) (= (not $x140) $x274))))
  1329 (let ((@x285 (mp (not-or-elim @x205 (not $x140)) @x284 $x274)))
  1330 (let (($x286 (not $x40)))
  1331 (let (($x311 (not $x44)))
  1332 (let ((@x434 (hypothesis $x81)))
  1333 (let (($x386 (or $x95 $x80)))
  1334 (let ((@x392 (monotonicity (rewrite (= $x99 (not $x386))) (= (not $x99) (not (not $x386))))))
  1335 (let ((@x396 (trans @x392 (rewrite (= (not (not $x386)) $x386)) (= (not $x99) $x386))))
  1336 (let ((@x397 (mp (not-or-elim @x205 (not $x99)) @x396 $x386)))
  1337 (let (($x246 (not $x33)))
  1338 (let (($x410 (or $x246 $x80)))
  1339 (let ((@x416 (monotonicity (rewrite (= $x84 (not $x410))) (= (not $x84) (not (not $x410))))))
  1340 (let ((@x420 (trans @x416 (rewrite (= (not (not $x410)) $x410)) (= (not $x84) $x410))))
  1341 (let ((@x421 (mp (not-or-elim @x205 (not $x84)) @x420 $x410)))
  1342 (let ((@x439 ((_ th-lemma arith triangle-eq) (or $x33 $x128 $x94))))
  1343 (let ((@x440 (unit-resolution @x439 (unit-resolution @x421 @x434 $x246) (unit-resolution @x397 @x434 $x95) $x128)))
  1344 (let (($x312 (or $x127 $x311)))
  1345 (let ((@x318 (monotonicity (rewrite (= $x131 (not $x312))) (= (not $x131) (not (not $x312))))))
  1346 (let ((@x322 (trans @x318 (rewrite (= (not (not $x312)) $x312)) (= (not $x131) $x312))))
  1347 (let ((@x323 (mp (not-or-elim @x205 (not $x131)) @x322 $x312)))
  1348 (let ((@x450 (mp (unit-resolution @x323 @x440 $x311) (monotonicity (commutativity (= $x44 $x40)) (= $x311 $x286)) $x286)))
  1349 (let (($x324 (or $x80 $x118)))
  1350 (let ((@x330 (monotonicity (rewrite (= $x124 (not $x324))) (= (not $x124) (not (not $x324))))))
  1351 (let ((@x334 (trans @x330 (rewrite (= (not (not $x324)) $x324)) (= (not $x124) $x324))))
  1352 (let ((@x335 (mp (not-or-elim @x205 (not $x124)) @x334 $x324)))
  1353 (let (($x299 (or $x127 $x104)))
  1354 (let ((@x305 (monotonicity (rewrite (= $x134 (not $x299))) (= (not $x134) (not (not $x299))))))
  1355 (let ((@x309 (trans @x305 (rewrite (= (not (not $x299)) $x299)) (= (not $x134) $x299))))
  1356 (let ((@x310 (mp (not-or-elim @x205 (not $x134)) @x309 $x299)))
  1357 (let ((@x444 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x40 $x105 $x117)) (unit-resolution @x310 @x440 $x104) (unit-resolution @x335 @x434 $x118) $x40)))
  1358 (let ((@x459 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x38 $x81 $x87)) (lemma (unit-resolution @x444 @x450 false) $x80) (or $x38 $x87))))
  1359 (let ((@x460 (unit-resolution @x459 (unit-resolution @x285 (hypothesis $x128) $x273) (unit-resolution @x272 (hypothesis $x128) $x88) false)))
  1360 (let ((@x461 (lemma @x460 $x127)))
  1361 (let (($x254 (or $x118 $x95)))
  1362 (let ((@x262 (monotonicity (rewrite (= $x149 (not $x254))) (= (not $x149) (not (not $x254))))))
  1363 (let ((@x256 (trans @x262 (rewrite (= (not (not $x254)) $x254)) (= (not $x149) $x254))))
  1364 (let ((@x257 (mp (not-or-elim @x205 (not $x149)) @x256 $x254)))
  1365 (let (($x247 (or $x118 $x246)))
  1366 (let ((@x259 (monotonicity (rewrite (= $x146 (not $x247))) (= (not $x146) (not (not $x247))))))
  1367 (let ((@x245 (trans @x259 (rewrite (= (not (not $x247)) $x247)) (= (not $x146) $x247))))
  1368 (let ((@x238 (mp (not-or-elim @x205 (not $x146)) @x245 $x247)))
  1369 (let ((@x465 (unit-resolution @x439 (unit-resolution @x238 (hypothesis $x117) $x246) (unit-resolution @x257 (hypothesis $x117) $x95) @x461 false)))
  1370 (let (($x336 (not $x48)))
  1371 (let (($x374 (or $x104 $x336)))
  1372 (let ((@x380 (monotonicity (rewrite (= $x108 (not $x374))) (= (not $x108) (not (not $x374))))))
  1373 (let ((@x384 (trans @x380 (rewrite (= (not (not $x374)) $x374)) (= (not $x108) $x374))))
  1374 (let ((@x385 (mp (not-or-elim @x205 (not $x108)) @x384 $x374)))
  1375 (let ((@x475 (mp (unit-resolution @x385 (hypothesis $x105) $x336) (monotonicity (commutativity (= $x48 $x38)) (= $x336 $x273)) $x273)))
  1376 (let (($x362 (or $x104 $x88)))
  1377 (let ((@x368 (monotonicity (rewrite (= $x111 (not $x362))) (= (not $x111) (not (not $x362))))))
  1378 (let ((@x372 (trans @x368 (rewrite (= (not (not $x362)) $x362)) (= (not $x111) $x362))))
  1379 (let ((@x373 (mp (not-or-elim @x205 (not $x111)) @x372 $x362)))
  1380 (let ((@x469 (unit-resolution @x459 (unit-resolution @x373 (hypothesis $x105) $x88) $x38)))
  1381 (let ((@x478 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x40 $x105 $x117)) (lemma (unit-resolution @x469 @x475 false) $x104) (lemma @x465 $x118) $x40)))
  1382 (let (($x287 (or $x286 $x95)))
  1383 (let ((@x293 (monotonicity (rewrite (= $x137 (not $x287))) (= (not $x137) (not (not $x287))))))
  1384 (let ((@x297 (trans @x293 (rewrite (= (not (not $x287)) $x287)) (= (not $x137) $x287))))
  1385 (let ((@x298 (mp (not-or-elim @x205 (not $x137)) @x297 $x287)))
  1386 (let ((@x488 (mp (unit-resolution @x439 (unit-resolution @x298 @x478 $x95) @x461 $x33) (symm (commutativity (= $x50 $x33)) (= $x33 $x50)) $x50)))
  1387 (let (($x422 (or (not $x50) $x311)))
  1388 (let ((@x428 (monotonicity (rewrite (= $x57 (not $x422))) (= (not $x57) (not (not $x422))))))
  1389 (let ((@x432 (trans @x428 (rewrite (= (not (not $x422)) $x422)) (= (not $x57) $x422))))
  1390 (let ((@x433 (mp (not-or-elim @x205 (not $x57)) @x432 $x422)))
  1391 (unit-resolution @x433 @x488 (mp @x478 @x480 $x44) false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  1392 
  1393 fbc59441c65d9a844da44405d06d138b55c5d187 933 0
  1394 unsat
  1395 ((set-logic AUFLIA)
  1396 (proof
  1397 (let (($x91 (= x1$ x10$)))
  1398 (let (($x582 (not $x91)))
  1399 (let (($x92 (= x2$ x11$)))
  1400 (let ((?x655 (* (- 1) x11$)))
  1401 (let ((?x656 (+ x2$ ?x655)))
  1402 (let (($x657 (<= ?x656 0)))
  1403 (let ((?x235 (* (- 1) x10$)))
  1404 (let (($x313 (>= x10$ 0)))
  1405 (let ((?x320 (ite $x313 x10$ ?x235)))
  1406 (let ((?x331 (* (- 1) ?x320)))
  1407 (let ((?x662 (+ x10$ ?x331)))
  1408 (let (($x1382 (<= ?x662 0)))
  1409 (let (($x1530 (not $x1382)))
  1410 (let ((?x116 (* (- 1) x3$)))
  1411 (let (($x463 (>= x3$ 0)))
  1412 (let ((?x470 (ite $x463 x3$ ?x116)))
  1413 (let ((?x481 (* (- 1) ?x470)))
  1414 (let ((?x680 (+ x3$ ?x481)))
  1415 (let (($x672 (>= ?x680 0)))
  1416 (let (($x588 (= x3$ ?x470)))
  1417 (let (($x766 (not $x657)))
  1418 (let ((@x1256 (hypothesis $x766)))
  1419 (let ((?x676 (+ ?x116 ?x481)))
  1420 (let (($x1697 (>= ?x676 0)))
  1421 (let (($x589 (= ?x116 ?x470)))
  1422 (let (($x464 (not $x463)))
  1423 (let ((@x688 (hypothesis $x464)))
  1424 (let ((@x593 (def-axiom (or $x463 $x589))))
  1425 (let ((@x1779 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x589) $x1697)) (hypothesis $x589) (hypothesis (not $x1697)) false)))
  1426 (let ((@x1780 (lemma @x1779 (or (not $x589) $x1697))))
  1427 (let ((?x133 (* (- 1) x4$)))
  1428 (let (($x438 (>= x4$ 0)))
  1429 (let ((?x445 (ite $x438 x4$ ?x133)))
  1430 (let ((?x456 (* (- 1) ?x445)))
  1431 (let ((?x674 (+ ?x133 ?x456)))
  1432 (let (($x675 (<= ?x674 0)))
  1433 (let ((?x677 (+ x4$ ?x456)))
  1434 (let (($x678 (<= ?x677 0)))
  1435 (let (($x784 (not $x678)))
  1436 (let (($x745 (not $x675)))
  1437 (let ((@x1834 (hypothesis $x745)))
  1438 (let (($x597 (= ?x133 ?x445)))
  1439 (let (($x738 (not $x597)))
  1440 (let ((@x740 ((_ th-lemma arith triangle-eq) (or $x738 $x675))))
  1441 (let ((@x1837 (lemma (unit-resolution @x740 (hypothesis $x597) @x1834 false) (or $x738 $x675))))
  1442 (let ((@x601 (def-axiom (or $x438 $x597))))
  1443 (let ((@x1840 (unit-resolution ((_ th-lemma arith assign-bounds 2 -1) (or $x675 (not $x438) $x784)) (unit-resolution @x601 (unit-resolution @x1837 @x1834 $x738) $x438) @x1834 $x784)))
  1444 (let (($x596 (= x4$ ?x445)))
  1445 (let ((@x599 (def-axiom (or (not $x438) $x596))))
  1446 (let ((@x1841 (unit-resolution @x599 (unit-resolution @x601 (unit-resolution @x1837 @x1834 $x738) $x438) $x596)))
  1447 (let ((@x693 ((_ th-lemma arith triangle-eq) (or (not $x596) $x678))))
  1448 (let ((@x1843 (lemma (unit-resolution @x693 @x1841 @x1840 false) $x675)))
  1449 (let ((?x218 (* (- 1) x9$)))
  1450 (let (($x288 (>= x9$ 0)))
  1451 (let ((?x295 (ite $x288 x9$ ?x218)))
  1452 (let ((?x306 (* (- 1) ?x295)))
  1453 (let ((?x659 (+ x9$ ?x306)))
  1454 (let (($x660 (<= ?x659 0)))
  1455 (let (($x636 (= x9$ ?x295)))
  1456 (let (($x338 (>= x8$ 0)))
  1457 (let (($x339 (not $x338)))
  1458 (let (($x661 (>= ?x659 0)))
  1459 (let (($x733 (not $x661)))
  1460 (let ((?x201 (* (- 1) x8$)))
  1461 (let ((?x345 (ite $x338 x8$ ?x201)))
  1462 (let ((?x356 (* (- 1) ?x345)))
  1463 (let ((?x665 (+ x8$ ?x356)))
  1464 (let (($x667 (>= ?x665 0)))
  1465 (let (($x628 (= x8$ ?x345)))
  1466 (let (($x439 (not $x438)))
  1467 (let ((@x763 (hypothesis $x439)))
  1468 (let ((@x1701 (hypothesis $x339)))
  1469 (let (($x289 (not $x288)))
  1470 (let ((@x1371 (hypothesis $x289)))
  1471 (let ((?x666 (+ ?x201 ?x356)))
  1472 (let (($x875 (<= ?x666 0)))
  1473 (let (($x629 (= ?x201 ?x345)))
  1474 (let ((@x633 (def-axiom (or $x338 $x629))))
  1475 (let (($x1626 (not $x875)))
  1476 (let ((@x1635 (hypothesis $x1626)))
  1477 (let ((@x1640 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x629) $x875)) (hypothesis $x629) @x1635 false)))
  1478 (let ((@x1641 (lemma @x1640 (or (not $x629) $x875))))
  1479 (let ((@x1738 (unit-resolution @x1641 (unit-resolution @x633 @x1701 $x629) $x875)))
  1480 (let ((?x150 (* (- 1) x5$)))
  1481 (let (($x413 (>= x5$ 0)))
  1482 (let ((?x420 (ite $x413 x5$ ?x150)))
  1483 (let ((?x431 (* (- 1) ?x420)))
  1484 (let ((?x757 (+ x5$ ?x431)))
  1485 (let (($x776 (>= ?x757 0)))
  1486 (let (($x604 (= x5$ ?x420)))
  1487 (let (($x644 (= x10$ ?x320)))
  1488 (let (($x645 (= ?x235 ?x320)))
  1489 (let (($x1136 (not $x645)))
  1490 (let ((?x1104 (+ ?x235 ?x331)))
  1491 (let (($x1250 (<= ?x1104 0)))
  1492 (let (($x1262 (not $x1250)))
  1493 (let ((?x1357 (+ ?x218 ?x306)))
  1494 (let (($x1370 (>= ?x1357 0)))
  1495 (let (($x637 (= ?x218 ?x295)))
  1496 (let (($x414 (not $x413)))
  1497 (let ((@x844 (hypothesis $x414)))
  1498 (let ((?x167 (* (- 1) x6$)))
  1499 (let (($x388 (>= x6$ 0)))
  1500 (let ((?x395 (ite $x388 x6$ ?x167)))
  1501 (let ((?x406 (* (- 1) ?x395)))
  1502 (let ((?x671 (+ x6$ ?x406)))
  1503 (let (($x673 (>= ?x671 0)))
  1504 (let (($x612 (= x6$ ?x395)))
  1505 (let ((@x1079 (hypothesis $x288)))
  1506 (let (($x860 (not $x667)))
  1507 (let ((?x931 (+ ?x150 ?x431)))
  1508 (let (($x933 (<= ?x931 0)))
  1509 (let (($x605 (= ?x150 ?x420)))
  1510 (let ((@x1000 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x605) $x933)) (unit-resolution (def-axiom (or $x413 $x605)) @x844 $x605) $x933)))
  1511 (let ((?x432 (+ x4$ x6$ ?x431)))
  1512 (let (($x611 (>= ?x432 0)))
  1513 (let (($x433 (= ?x432 0)))
  1514 (let ((?x332 (+ x9$ x11$ ?x331)))
  1515 (let (($x333 (= ?x332 0)))
  1516 (let ((?x307 (+ x8$ x10$ ?x306)))
  1517 (let (($x308 (= ?x307 0)))
  1518 (let ((?x357 (+ x7$ x9$ ?x356)))
  1519 (let (($x358 (= ?x357 0)))
  1520 (let ((?x184 (* (- 1) x7$)))
  1521 (let (($x363 (>= x7$ 0)))
  1522 (let ((?x370 (ite $x363 x7$ ?x184)))
  1523 (let ((?x381 (* (- 1) ?x370)))
  1524 (let ((?x382 (+ x6$ x8$ ?x381)))
  1525 (let (($x383 (= ?x382 0)))
  1526 (let ((?x407 (+ x5$ x7$ ?x406)))
  1527 (let (($x408 (= ?x407 0)))
  1528 (let ((?x457 (+ x3$ x5$ ?x456)))
  1529 (let (($x458 (= ?x457 0)))
  1530 (let ((?x482 (+ x2$ x4$ ?x481)))
  1531 (let (($x483 (= ?x482 0)))
  1532 (let ((?x98 (* (- 1) x2$)))
  1533 (let (($x488 (>= x2$ 0)))
  1534 (let ((?x495 (ite $x488 x2$ ?x98)))
  1535 (let ((?x506 (* (- 1) ?x495)))
  1536 (let ((?x507 (+ x3$ x1$ ?x506)))
  1537 (let (($x508 (= ?x507 0)))
  1538 (let (($x537 (and $x508 $x483 $x458 $x433 $x408 $x383 $x358 $x308 $x333)))
  1539 (let (($x548 (not (or (not $x537) (and $x91 $x92)))))
  1540 (let (($x93 (and $x91 $x92)))
  1541 (let (($x83 (and (= x10$ (- (ite (< x9$ 0) (- x9$) x9$) x8$)) (= x11$ (- (ite (< x10$ 0) (- x10$) x10$) x9$)))))
  1542 (let (($x85 (and (= x8$ (- (ite (< x7$ 0) (- x7$) x7$) x6$)) (and (= x9$ (- (ite (< x8$ 0) (- x8$) x8$) x7$)) $x83))))
  1543 (let (($x87 (and (= x6$ (- (ite (< x5$ 0) (- x5$) x5$) x4$)) (and (= x7$ (- (ite (< x6$ 0) (- x6$) x6$) x5$)) $x85))))
  1544 (let (($x89 (and (= x4$ (- (ite (< x3$ 0) (- x3$) x3$) x2$)) (and (= x5$ (- (ite (< x4$ 0) (- x4$) x4$) x3$)) $x87))))
  1545 (let (($x94 (=> (and (= x3$ (- (ite (< x2$ 0) (- x2$) x2$) x1$)) $x89) $x93)))
  1546 (let (($x95 (not $x94)))
  1547 (let (($x78 (< x10$ 0)))
  1548 (let ((?x238 (ite $x78 ?x235 x10$)))
  1549 (let ((?x244 (+ ?x218 ?x238)))
  1550 (let (($x249 (= x11$ ?x244)))
  1551 (let (($x72 (< x9$ 0)))
  1552 (let ((?x221 (ite $x72 ?x218 x9$)))
  1553 (let ((?x227 (+ ?x201 ?x221)))
  1554 (let (($x232 (= x10$ ?x227)))
  1555 (let (($x252 (and $x232 $x249)))
  1556 (let (($x66 (< x8$ 0)))
  1557 (let ((?x204 (ite $x66 ?x201 x8$)))
  1558 (let ((?x210 (+ ?x184 ?x204)))
  1559 (let (($x215 (= x9$ ?x210)))
  1560 (let (($x255 (and $x215 $x252)))
  1561 (let (($x60 (< x7$ 0)))
  1562 (let ((?x187 (ite $x60 ?x184 x7$)))
  1563 (let ((?x193 (+ ?x167 ?x187)))
  1564 (let (($x198 (= x8$ ?x193)))
  1565 (let (($x258 (and $x198 $x255)))
  1566 (let (($x54 (< x6$ 0)))
  1567 (let ((?x170 (ite $x54 ?x167 x6$)))
  1568 (let ((?x176 (+ ?x150 ?x170)))
  1569 (let (($x181 (= x7$ ?x176)))
  1570 (let (($x261 (and $x181 $x258)))
  1571 (let (($x48 (< x5$ 0)))
  1572 (let ((?x153 (ite $x48 ?x150 x5$)))
  1573 (let ((?x159 (+ ?x133 ?x153)))
  1574 (let (($x164 (= x6$ ?x159)))
  1575 (let (($x264 (and $x164 $x261)))
  1576 (let (($x42 (< x4$ 0)))
  1577 (let ((?x136 (ite $x42 ?x133 x4$)))
  1578 (let ((?x142 (+ ?x116 ?x136)))
  1579 (let (($x147 (= x5$ ?x142)))
  1580 (let (($x267 (and $x147 $x264)))
  1581 (let (($x36 (< x3$ 0)))
  1582 (let ((?x119 (ite $x36 ?x116 x3$)))
  1583 (let ((?x125 (+ ?x98 ?x119)))
  1584 (let (($x130 (= x4$ ?x125)))
  1585 (let (($x270 (and $x130 $x267)))
  1586 (let (($x29 (< x2$ 0)))
  1587 (let ((?x101 (ite $x29 ?x98 x2$)))
  1588 (let ((?x108 (+ (* (- 1) x1$) ?x101)))
  1589 (let (($x113 (= x3$ ?x108)))
  1590 (let (($x273 (and $x113 $x270)))
  1591 (let (($x280 (or (not $x273) $x93)))
  1592 (let (($x528 (and $x458 (and $x433 (and $x408 (and $x383 (and $x358 (and $x308 $x333))))))))
  1593 (let (($x526 (= $x264 (and $x433 (and $x408 (and $x383 (and $x358 (and $x308 $x333))))))))
  1594 (let ((@x319 (monotonicity (rewrite (= $x78 (not $x313))) (= ?x238 (ite (not $x313) ?x235 x10$)))))
  1595 (let ((@x324 (trans @x319 (rewrite (= (ite (not $x313) ?x235 x10$) ?x320)) (= ?x238 ?x320))))
  1596 (let ((@x330 (monotonicity (monotonicity @x324 (= ?x244 (+ ?x218 ?x320))) (= $x249 (= x11$ (+ ?x218 ?x320))))))
  1597 (let ((@x337 (trans @x330 (rewrite (= (= x11$ (+ ?x218 ?x320)) $x333)) (= $x249 $x333))))
  1598 (let ((@x294 (monotonicity (rewrite (= $x72 $x289)) (= ?x221 (ite $x289 ?x218 x9$)))))
  1599 (let ((@x302 (monotonicity (trans @x294 (rewrite (= (ite $x289 ?x218 x9$) ?x295)) (= ?x221 ?x295)) (= ?x227 (+ ?x201 ?x295)))))
  1600 (let ((@x312 (trans (monotonicity @x302 (= $x232 (= x10$ (+ ?x201 ?x295)))) (rewrite (= (= x10$ (+ ?x201 ?x295)) $x308)) (= $x232 $x308))))
  1601 (let ((@x344 (monotonicity (rewrite (= $x66 $x339)) (= ?x204 (ite $x339 ?x201 x8$)))))
  1602 (let ((@x352 (monotonicity (trans @x344 (rewrite (= (ite $x339 ?x201 x8$) ?x345)) (= ?x204 ?x345)) (= ?x210 (+ ?x184 ?x345)))))
  1603 (let ((@x362 (trans (monotonicity @x352 (= $x215 (= x9$ (+ ?x184 ?x345)))) (rewrite (= (= x9$ (+ ?x184 ?x345)) $x358)) (= $x215 $x358))))
  1604 (let ((@x518 (monotonicity @x362 (monotonicity @x312 @x337 (= $x252 (and $x308 $x333))) (= $x255 (and $x358 (and $x308 $x333))))))
  1605 (let ((@x369 (monotonicity (rewrite (= $x60 (not $x363))) (= ?x187 (ite (not $x363) ?x184 x7$)))))
  1606 (let ((@x374 (trans @x369 (rewrite (= (ite (not $x363) ?x184 x7$) ?x370)) (= ?x187 ?x370))))
  1607 (let ((@x380 (monotonicity (monotonicity @x374 (= ?x193 (+ ?x167 ?x370))) (= $x198 (= x8$ (+ ?x167 ?x370))))))
  1608 (let ((@x387 (trans @x380 (rewrite (= (= x8$ (+ ?x167 ?x370)) $x383)) (= $x198 $x383))))
  1609 (let ((@x521 (monotonicity @x387 @x518 (= $x258 (and $x383 (and $x358 (and $x308 $x333)))))))
  1610 (let ((@x394 (monotonicity (rewrite (= $x54 (not $x388))) (= ?x170 (ite (not $x388) ?x167 x6$)))))
  1611 (let ((@x399 (trans @x394 (rewrite (= (ite (not $x388) ?x167 x6$) ?x395)) (= ?x170 ?x395))))
  1612 (let ((@x405 (monotonicity (monotonicity @x399 (= ?x176 (+ ?x150 ?x395))) (= $x181 (= x7$ (+ ?x150 ?x395))))))
  1613 (let ((@x412 (trans @x405 (rewrite (= (= x7$ (+ ?x150 ?x395)) $x408)) (= $x181 $x408))))
  1614 (let ((@x524 (monotonicity @x412 @x521 (= $x261 (and $x408 (and $x383 (and $x358 (and $x308 $x333))))))))
  1615 (let ((@x419 (monotonicity (rewrite (= $x48 $x414)) (= ?x153 (ite $x414 ?x150 x5$)))))
  1616 (let ((@x427 (monotonicity (trans @x419 (rewrite (= (ite $x414 ?x150 x5$) ?x420)) (= ?x153 ?x420)) (= ?x159 (+ ?x133 ?x420)))))
  1617 (let ((@x437 (trans (monotonicity @x427 (= $x164 (= x6$ (+ ?x133 ?x420)))) (rewrite (= (= x6$ (+ ?x133 ?x420)) $x433)) (= $x164 $x433))))
  1618 (let ((@x444 (monotonicity (rewrite (= $x42 $x439)) (= ?x136 (ite $x439 ?x133 x4$)))))
  1619 (let ((@x452 (monotonicity (trans @x444 (rewrite (= (ite $x439 ?x133 x4$) ?x445)) (= ?x136 ?x445)) (= ?x142 (+ ?x116 ?x445)))))
  1620 (let ((@x462 (trans (monotonicity @x452 (= $x147 (= x5$ (+ ?x116 ?x445)))) (rewrite (= (= x5$ (+ ?x116 ?x445)) $x458)) (= $x147 $x458))))
  1621 (let ((@x469 (monotonicity (rewrite (= $x36 $x464)) (= ?x119 (ite $x464 ?x116 x3$)))))
  1622 (let ((@x477 (monotonicity (trans @x469 (rewrite (= (ite $x464 ?x116 x3$) ?x470)) (= ?x119 ?x470)) (= ?x125 (+ ?x98 ?x470)))))
  1623 (let ((@x487 (trans (monotonicity @x477 (= $x130 (= x4$ (+ ?x98 ?x470)))) (rewrite (= (= x4$ (+ ?x98 ?x470)) $x483)) (= $x130 $x483))))
  1624 (let ((@x533 (monotonicity @x487 (monotonicity @x462 (monotonicity @x437 @x524 $x526) (= $x267 $x528)) (= $x270 (and $x483 $x528)))))
  1625 (let ((@x494 (monotonicity (rewrite (= $x29 (not $x488))) (= ?x101 (ite (not $x488) ?x98 x2$)))))
  1626 (let ((@x499 (trans @x494 (rewrite (= (ite (not $x488) ?x98 x2$) ?x495)) (= ?x101 ?x495))))
  1627 (let ((@x505 (monotonicity (monotonicity @x499 (= ?x108 (+ (* (- 1) x1$) ?x495))) (= $x113 (= x3$ (+ (* (- 1) x1$) ?x495))))))
  1628 (let ((@x512 (trans @x505 (rewrite (= (= x3$ (+ (* (- 1) x1$) ?x495)) $x508)) (= $x113 $x508))))
  1629 (let ((@x541 (trans (monotonicity @x512 @x533 (= $x273 (and $x508 (and $x483 $x528)))) (rewrite (= (and $x508 (and $x483 $x528)) $x537)) (= $x273 $x537))))
  1630 (let ((@x547 (monotonicity (monotonicity @x541 (= (not $x273) (not $x537))) (= $x280 (or (not $x537) $x93)))))
  1631 (let ((@x240 (monotonicity (rewrite (= (- x10$) ?x235)) (= (ite $x78 (- x10$) x10$) ?x238))))
  1632 (let ((@x243 (monotonicity @x240 (= (- (ite $x78 (- x10$) x10$) x9$) (- ?x238 x9$)))))
  1633 (let ((@x248 (trans @x243 (rewrite (= (- ?x238 x9$) ?x244)) (= (- (ite $x78 (- x10$) x10$) x9$) ?x244))))
  1634 (let ((@x251 (monotonicity @x248 (= (= x11$ (- (ite $x78 (- x10$) x10$) x9$)) $x249))))
  1635 (let ((@x223 (monotonicity (rewrite (= (- x9$) ?x218)) (= (ite $x72 (- x9$) x9$) ?x221))))
  1636 (let ((@x226 (monotonicity @x223 (= (- (ite $x72 (- x9$) x9$) x8$) (- ?x221 x8$)))))
  1637 (let ((@x231 (trans @x226 (rewrite (= (- ?x221 x8$) ?x227)) (= (- (ite $x72 (- x9$) x9$) x8$) ?x227))))
  1638 (let ((@x234 (monotonicity @x231 (= (= x10$ (- (ite $x72 (- x9$) x9$) x8$)) $x232))))
  1639 (let ((@x206 (monotonicity (rewrite (= (- x8$) ?x201)) (= (ite $x66 (- x8$) x8$) ?x204))))
  1640 (let ((@x209 (monotonicity @x206 (= (- (ite $x66 (- x8$) x8$) x7$) (- ?x204 x7$)))))
  1641 (let ((@x214 (trans @x209 (rewrite (= (- ?x204 x7$) ?x210)) (= (- (ite $x66 (- x8$) x8$) x7$) ?x210))))
  1642 (let ((@x217 (monotonicity @x214 (= (= x9$ (- (ite $x66 (- x8$) x8$) x7$)) $x215))))
  1643 (let ((@x257 (monotonicity @x217 (monotonicity @x234 @x251 (= $x83 $x252)) (= (and (= x9$ (- (ite $x66 (- x8$) x8$) x7$)) $x83) $x255))))
  1644 (let ((@x189 (monotonicity (rewrite (= (- x7$) ?x184)) (= (ite $x60 (- x7$) x7$) ?x187))))
  1645 (let ((@x192 (monotonicity @x189 (= (- (ite $x60 (- x7$) x7$) x6$) (- ?x187 x6$)))))
  1646 (let ((@x197 (trans @x192 (rewrite (= (- ?x187 x6$) ?x193)) (= (- (ite $x60 (- x7$) x7$) x6$) ?x193))))
  1647 (let ((@x200 (monotonicity @x197 (= (= x8$ (- (ite $x60 (- x7$) x7$) x6$)) $x198))))
  1648 (let ((@x172 (monotonicity (rewrite (= (- x6$) ?x167)) (= (ite $x54 (- x6$) x6$) ?x170))))
  1649 (let ((@x175 (monotonicity @x172 (= (- (ite $x54 (- x6$) x6$) x5$) (- ?x170 x5$)))))
  1650 (let ((@x180 (trans @x175 (rewrite (= (- ?x170 x5$) ?x176)) (= (- (ite $x54 (- x6$) x6$) x5$) ?x176))))
  1651 (let ((@x183 (monotonicity @x180 (= (= x7$ (- (ite $x54 (- x6$) x6$) x5$)) $x181))))
  1652 (let ((@x263 (monotonicity @x183 (monotonicity @x200 @x257 (= $x85 $x258)) (= (and (= x7$ (- (ite $x54 (- x6$) x6$) x5$)) $x85) $x261))))
  1653 (let ((@x155 (monotonicity (rewrite (= (- x5$) ?x150)) (= (ite $x48 (- x5$) x5$) ?x153))))
  1654 (let ((@x158 (monotonicity @x155 (= (- (ite $x48 (- x5$) x5$) x4$) (- ?x153 x4$)))))
  1655 (let ((@x163 (trans @x158 (rewrite (= (- ?x153 x4$) ?x159)) (= (- (ite $x48 (- x5$) x5$) x4$) ?x159))))
  1656 (let ((@x166 (monotonicity @x163 (= (= x6$ (- (ite $x48 (- x5$) x5$) x4$)) $x164))))
  1657 (let ((@x138 (monotonicity (rewrite (= (- x4$) ?x133)) (= (ite $x42 (- x4$) x4$) ?x136))))
  1658 (let ((@x141 (monotonicity @x138 (= (- (ite $x42 (- x4$) x4$) x3$) (- ?x136 x3$)))))
  1659 (let ((@x146 (trans @x141 (rewrite (= (- ?x136 x3$) ?x142)) (= (- (ite $x42 (- x4$) x4$) x3$) ?x142))))
  1660 (let ((@x149 (monotonicity @x146 (= (= x5$ (- (ite $x42 (- x4$) x4$) x3$)) $x147))))
  1661 (let ((@x269 (monotonicity @x149 (monotonicity @x166 @x263 (= $x87 $x264)) (= (and (= x5$ (- (ite $x42 (- x4$) x4$) x3$)) $x87) $x267))))
  1662 (let ((@x121 (monotonicity (rewrite (= (- x3$) ?x116)) (= (ite $x36 (- x3$) x3$) ?x119))))
  1663 (let ((@x124 (monotonicity @x121 (= (- (ite $x36 (- x3$) x3$) x2$) (- ?x119 x2$)))))
  1664 (let ((@x129 (trans @x124 (rewrite (= (- ?x119 x2$) ?x125)) (= (- (ite $x36 (- x3$) x3$) x2$) ?x125))))
  1665 (let ((@x132 (monotonicity @x129 (= (= x4$ (- (ite $x36 (- x3$) x3$) x2$)) $x130))))
  1666 (let ((@x103 (monotonicity (rewrite (= (- x2$) ?x98)) (= (ite $x29 (- x2$) x2$) ?x101))))
  1667 (let ((@x106 (monotonicity @x103 (= (- (ite $x29 (- x2$) x2$) x1$) (- ?x101 x1$)))))
  1668 (let ((@x112 (trans @x106 (rewrite (= (- ?x101 x1$) ?x108)) (= (- (ite $x29 (- x2$) x2$) x1$) ?x108))))
  1669 (let ((@x115 (monotonicity @x112 (= (= x3$ (- (ite $x29 (- x2$) x2$) x1$)) $x113))))
  1670 (let ((@x275 (monotonicity @x115 (monotonicity @x132 @x269 (= $x89 $x270)) (= (and (= x3$ (- (ite $x29 (- x2$) x2$) x1$)) $x89) $x273))))
  1671 (let ((@x284 (trans (monotonicity @x275 (= $x94 (=> $x273 $x93))) (rewrite (= (=> $x273 $x93) $x280)) (= $x94 $x280))))
  1672 (let ((@x552 (trans (monotonicity @x284 (= $x95 (not $x280))) (monotonicity @x547 (= (not $x280) $x548)) (= $x95 $x548))))
  1673 (let ((@x554 (not-or-elim (mp (asserted $x95) @x552 $x548) $x537)))
  1674 (let ((@x558 (and-elim @x554 $x433)))
  1675 (let ((@x799 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x433) $x611)) @x558 $x611)))
  1676 (let (($x626 (<= ?x382 0)))
  1677 (let ((@x560 (and-elim @x554 $x383)))
  1678 (let ((@x703 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x383) $x626)) @x560 $x626)))
  1679 (let ((?x668 (+ x7$ ?x381)))
  1680 (let (($x670 (>= ?x668 0)))
  1681 (let (($x620 (= x7$ ?x370)))
  1682 (let ((?x777 (+ ?x167 ?x406)))
  1683 (let (($x780 (<= ?x777 0)))
  1684 (let (($x613 (= ?x167 ?x395)))
  1685 (let (($x389 (not $x388)))
  1686 (let (($x364 (not $x363)))
  1687 (let ((@x1027 (hypothesis $x364)))
  1688 (let ((@x1026 (hypothesis $x388)))
  1689 (let (($x619 (>= ?x407 0)))
  1690 (let ((@x559 (and-elim @x554 $x408)))
  1691 (let ((@x853 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x408) $x619)) @x559 $x619)))
  1692 (let (($x936 (<= ?x671 0)))
  1693 (let ((@x950 ((_ th-lemma arith triangle-eq) (or (not $x612) $x936))))
  1694 (let ((@x1029 (unit-resolution @x950 (unit-resolution (def-axiom (or $x389 $x612)) @x1026 $x612) $x936)))
  1695 (let ((@x1032 (lemma ((_ th-lemma arith farkas 1 1 1 1 1) @x1029 @x853 @x1027 @x844 @x1026 false) (or $x363 $x413 $x389))))
  1696 (let ((@x617 (def-axiom (or $x388 $x613))))
  1697 (let ((@x1064 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x613) $x780)) (unit-resolution @x617 (unit-resolution @x1032 @x1027 @x844 $x389) $x613) $x780)))
  1698 (let ((@x1065 ((_ th-lemma arith farkas 1 1 1 1 1) (unit-resolution @x1032 @x1027 @x844 $x389) @x853 @x1027 @x844 @x1064 false)))
  1699 (let ((@x623 (def-axiom (or $x364 $x620))))
  1700 (let ((@x1088 (unit-resolution @x623 (unit-resolution (lemma @x1065 (or $x363 $x413)) @x844 $x363) $x620)))
  1701 (let ((@x926 ((_ th-lemma arith triangle-eq) (or (not $x620) $x670))))
  1702 (let ((@x1089 (unit-resolution @x926 @x1088 $x670)))
  1703 (let ((@x858 (hypothesis $x667)))
  1704 (let (($x634 (<= ?x357 0)))
  1705 (let ((@x561 (and-elim @x554 $x358)))
  1706 (let ((@x857 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x358) $x634)) @x561 $x634)))
  1707 (let ((@x1105 (lemma ((_ th-lemma arith farkas 1 1 1 1 1 1 1 1 1) @x857 @x858 @x1089 @x703 @x763 @x799 @x1000 @x844 @x1079 false) (or $x438 $x860 $x413 $x289))))
  1708 (let (($x840 (<= ?x668 0)))
  1709 (let ((@x865 ((_ th-lemma arith triangle-eq) (or (not $x620) $x840))))
  1710 (let ((@x1090 (unit-resolution @x865 @x1088 $x840)))
  1711 (let (($x627 (>= ?x382 0)))
  1712 (let ((@x835 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x383) $x627)) @x560 $x627)))
  1713 (let ((@x1242 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x438 (not $x611) $x388 (not $x933) $x413)) @x763 @x799 @x1000 @x844 $x388)))
  1714 (let ((@x615 (def-axiom (or $x389 $x612))))
  1715 (let ((@x1095 ((_ th-lemma arith assign-bounds 1 1 1 1 1) (or $x338 (not $x840) (not $x627) (not $x936) (not $x619) $x413))))
  1716 (let ((@x1245 (unit-resolution @x1095 (unit-resolution @x950 (unit-resolution @x615 @x1242 $x612) $x936) @x835 @x844 @x1090 @x853 $x338)))
  1717 (let ((@x631 (def-axiom (or $x339 $x628))))
  1718 (let ((@x1132 ((_ th-lemma arith triangle-eq) (or (not $x628) $x667))))
  1719 (let ((@x1247 (unit-resolution @x1132 (unit-resolution @x631 @x1245 $x628) (unit-resolution @x1105 @x763 @x844 @x1079 $x860) false)))
  1720 (let ((@x1328 (unit-resolution @x599 (unit-resolution (lemma @x1247 (or $x438 $x413 $x289)) @x844 @x1079 $x438) $x596)))
  1721 (let ((@x1147 ((_ th-lemma arith triangle-eq) (or (not $x636) $x661))))
  1722 (let ((@x1148 (unit-resolution @x1147 (unit-resolution (def-axiom (or $x289 $x636)) @x1079 $x636) $x661)))
  1723 (let ((@x1152 ((_ th-lemma arith triangle-eq) (or (not $x636) $x660))))
  1724 (let ((@x1153 (unit-resolution @x1152 (unit-resolution (def-axiom (or $x289 $x636)) @x1079 $x636) $x660)))
  1725 (let (($x658 (>= ?x656 0)))
  1726 (let (($x706 (not $x673)))
  1727 (let (($x663 (<= ?x665 0)))
  1728 (let (($x643 (>= ?x307 0)))
  1729 (let ((@x562 (and-elim @x554 $x308)))
  1730 (let ((@x1126 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x308) $x643)) @x562 $x643)))
  1731 (let (($x314 (not $x313)))
  1732 (let (($x1165 (not $x644)))
  1733 (let (($x664 (>= ?x662 0)))
  1734 (let (($x734 (not $x664)))
  1735 (let (($x710 (not $x658)))
  1736 (let ((@x711 (hypothesis $x710)))
  1737 (let ((@x731 (hypothesis $x661)))
  1738 (let ((@x716 (hypothesis $x664)))
  1739 (let (($x847 (not $x613)))
  1740 (let (($x839 (>= ?x777 0)))
  1741 (let (($x872 (not $x839)))
  1742 (let (($x681 (<= ?x680 0)))
  1743 (let (($x621 (= ?x184 ?x370)))
  1744 (let (($x823 (not $x621)))
  1745 (let ((?x778 (+ ?x184 ?x381)))
  1746 (let (($x779 (<= ?x778 0)))
  1747 (let (($x902 (not $x779)))
  1748 (let (($x669 (>= ?x677 0)))
  1749 (let (($x679 (<= ?x676 0)))
  1750 (let ((@x762 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x589) $x679)) (unit-resolution @x593 @x688 $x589) $x679)))
  1751 (let ((@x941 (unit-resolution @x740 (unit-resolution @x601 @x763 $x597) $x675)))
  1752 (let ((@x869 (hypothesis $x681)))
  1753 (let ((@x868 (hypothesis $x678)))
  1754 (let ((@x867 (hypothesis $x839)))
  1755 (let ((@x866 (unit-resolution @x865 (unit-resolution @x623 (hypothesis $x363) $x620) $x840)))
  1756 (let ((@x841 (hypothesis $x363)))
  1757 (let (($x618 (<= ?x407 0)))
  1758 (let ((@x698 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x408) $x618)) @x559 $x618)))
  1759 (let (($x603 (>= ?x457 0)))
  1760 (let ((@x557 (and-elim @x554 $x458)))
  1761 (let ((@x687 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x458) $x603)) @x557 $x603)))
  1762 (let (($x650 (<= ?x332 0)))
  1763 (let ((@x563 (and-elim @x554 $x333)))
  1764 (let ((@x715 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x333) $x650)) @x563 $x650)))
  1765 (let (($x595 (>= ?x482 0)))
  1766 (let ((@x556 (and-elim @x554 $x483)))
  1767 (let ((@x720 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x483) $x595)) @x556 $x595)))
  1768 (let (($x642 (<= ?x307 0)))
  1769 (let ((@x730 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x308) $x642)) @x562 $x642)))
  1770 (let ((@x870 ((_ th-lemma arith farkas -1 1 -1 1 -1 -1 1 1 -1 1 1 -1 -2 1) @x835 @x869 @x731 @x730 @x720 @x716 @x715 @x711 @x687 @x868 @x698 @x867 @x841 @x866 false)))
  1771 (let ((@x879 (unit-resolution (lemma @x870 (or $x364 (not $x681) $x733 $x734 $x658 $x784 $x872)) @x867 @x731 @x716 @x711 @x868 @x869 $x364)))
  1772 (let ((@x625 (def-axiom (or $x363 $x621))))
  1773 (let ((@x825 ((_ th-lemma arith triangle-eq) (or $x823 $x779))))
  1774 (let ((@x882 ((_ th-lemma arith farkas -1 1 -1 1 -1 -1 1 1 -1 1 1 -1 1) @x835 @x869 @x731 @x730 @x720 @x716 @x715 @x711 @x687 @x868 @x698 @x867 (unit-resolution @x825 (unit-resolution @x625 @x879 $x621) $x779) false)))
  1775 (let ((@x884 (lemma @x882 (or $x872 (not $x681) $x733 $x734 $x658 $x784))))
  1776 (let ((@x945 (unit-resolution @x884 (unit-resolution ((_ th-lemma arith assign-bounds 2 1) (or $x678 $x438 $x745)) @x941 @x763 $x678) @x731 @x716 @x711 (unit-resolution ((_ th-lemma arith assign-bounds 1 2) (or $x681 (not $x679) $x463)) @x762 @x688 $x681) $x872)))
  1777 (let ((@x892 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x847 $x839)) (hypothesis $x613) (hypothesis $x872) false)))
  1778 (let ((@x893 (lemma @x892 (or $x847 $x839))))
  1779 (let ((@x948 (unit-resolution @x615 (unit-resolution @x617 (unit-resolution @x893 @x945 $x847) $x388) $x612)))
  1780 (let (($x775 (<= ?x757 0)))
  1781 (let ((@x954 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x413 $x745 (not $x603) $x463 $x438)) @x763 @x687 @x688 @x941 $x413)))
  1782 (let ((@x607 (def-axiom (or $x414 $x604))))
  1783 (let ((@x794 ((_ th-lemma arith triangle-eq) (or (not $x604) $x775))))
  1784 (let ((@x960 ((_ th-lemma arith assign-bounds 1 1 1 1 1) (or $x363 (not $x936) (not $x619) $x438 (not $x775) (not $x611)))))
  1785 (let ((@x961 (unit-resolution @x960 @x763 @x853 @x799 (unit-resolution @x794 (unit-resolution @x607 @x954 $x604) $x775) (unit-resolution @x950 @x948 $x936) $x363)))
  1786 (let (($x602 (<= ?x457 0)))
  1787 (let ((@x832 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x458) $x602)) @x557 $x602)))
  1788 (let (($x932 (>= ?x674 0)))
  1789 (let ((@x966 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x738 $x932)) (unit-resolution @x601 @x763 $x597) $x932)))
  1790 (let ((@x967 ((_ th-lemma arith farkas -1 -1 1 1 -1 -1 1 1 1 -1 -1 1 1) @x835 @x731 @x730 @x762 @x720 @x716 @x715 @x711 (unit-resolution @x950 @x948 $x936) @x853 @x966 @x832 (unit-resolution @x865 (unit-resolution @x623 @x961 $x620) $x840) false)))
  1791 (let ((@x974 (unit-resolution (lemma @x967 (or $x438 $x733 $x734 $x658 $x463)) @x688 @x716 @x711 @x731 $x438)))
  1792 (let ((@x828 ((_ th-lemma arith triangle-eq) (or (not $x596) $x669))))
  1793 (let ((@x978 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x413 (not $x603) $x463 $x439 $x784)) (unit-resolution @x693 (unit-resolution @x599 @x974 $x596) $x678) @x687 @x688 @x974 $x413)))
  1794 (let ((@x791 ((_ th-lemma arith triangle-eq) (or (not $x604) $x776))))
  1795 (let ((@x981 (unit-resolution @x884 (unit-resolution @x693 (unit-resolution @x599 @x974 $x596) $x678) @x731 @x716 @x711 (unit-resolution ((_ th-lemma arith assign-bounds 1 2) (or $x681 (not $x679) $x463)) @x762 @x688 $x681) $x872)))
  1796 (let ((@x984 (unit-resolution @x615 (unit-resolution @x617 (unit-resolution @x893 @x981 $x847) $x388) $x612)))
  1797 (let ((@x808 ((_ th-lemma arith triangle-eq) (or (not $x612) $x673))))
  1798 (let ((@x900 (hypothesis $x669)))
  1799 (let (($x610 (<= ?x432 0)))
  1800 (let ((@x812 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x433) $x610)) @x558 $x610)))
  1801 (let ((@x699 (hypothesis $x673)))
  1802 (let ((@x935 ((_ th-lemma arith farkas -1 -1 1 1 -1 -1 1 1 -1 1 -2 2 -1 1 1) @x835 @x731 @x730 (hypothesis $x679) @x720 @x716 @x715 @x711 @x699 @x698 (hypothesis $x776) @x812 @x900 @x832 (hypothesis $x779) false)))
  1803 (let ((@x971 (lemma @x935 (or $x902 $x733 (not $x679) $x734 $x658 $x706 (not $x776) (not $x669)))))
  1804 (let ((@x986 (unit-resolution @x971 @x762 @x731 @x716 @x711 (unit-resolution @x808 @x984 $x673) (unit-resolution @x791 (unit-resolution @x607 @x978 $x604) $x776) (unit-resolution @x828 (unit-resolution @x599 @x974 $x596) $x669) $x902)))
  1805 (let ((@x909 (lemma (unit-resolution @x825 (hypothesis $x621) (hypothesis $x902) false) (or $x823 $x779))))
  1806 (let ((@x989 (unit-resolution @x623 (unit-resolution @x625 (unit-resolution @x909 @x986 $x823) $x363) $x620)))
  1807 (let ((@x991 ((_ th-lemma arith farkas -1 -1 1 1 -1 -1 1 1 -1 1 -2 2 -2 -1 1 1) @x835 @x731 @x730 @x762 @x720 @x716 @x715 @x711 (unit-resolution @x808 @x984 $x673) @x698 (unit-resolution @x791 (unit-resolution @x607 @x978 $x604) $x776) @x812 (unit-resolution @x625 (unit-resolution @x909 @x986 $x823) $x363) (unit-resolution @x828 (unit-resolution @x599 @x974 $x596) $x669) @x832 (unit-resolution @x865 @x989 $x840) false)))
  1808 (let ((@x972 (unit-resolution (lemma @x991 (or $x463 $x733 $x734 $x658)) @x716 @x731 @x711 $x463)))
  1809 (let ((@x591 (def-axiom (or $x464 $x588))))
  1810 (let ((@x725 ((_ th-lemma arith triangle-eq) (or (not $x588) $x681))))
  1811 (let ((@x994 (unit-resolution @x725 (unit-resolution @x591 @x972 $x588) $x681)))
  1812 (let ((@x995 (unit-resolution @x884 (unit-resolution ((_ th-lemma arith assign-bounds 2 1) (or $x678 $x438 $x745)) @x941 @x763 $x678) @x731 @x716 @x711 @x994 $x872)))
  1813 (let ((@x1013 (unit-resolution @x615 (unit-resolution @x617 (unit-resolution @x893 @x995 $x847) $x388) $x612)))
  1814 (let ((@x1014 (unit-resolution @x950 @x1013 $x936)))
  1815 (let ((@x753 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x658 $x657)) @x711 $x657)))
  1816 (let ((@x1001 (hypothesis $x936)))
  1817 (let ((@x1004 ((_ th-lemma arith assign-bounds 1 1 1 1 1 2) (or $x363 (not $x936) (not $x619) $x438 (not $x611) (not $x933) $x413))))
  1818 (let ((@x1006 (unit-resolution @x623 (unit-resolution @x1004 @x844 @x799 @x853 @x763 @x1001 @x1000 $x363) $x620)))
  1819 (let ((@x764 (hypothesis $x657)))
  1820 (let ((@x1008 ((_ th-lemma arith farkas 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1) @x835 @x1001 @x853 @x844 @x731 @x730 @x720 @x716 @x715 @x764 @x687 @x941 @x869 @x763 (unit-resolution @x865 @x1006 $x840) false)))
  1821 (let ((@x1015 (unit-resolution (lemma @x1008 (or $x413 (not $x936) $x733 $x734 $x766 (not $x681) $x438)) @x1014 @x731 @x716 @x753 @x994 @x763 $x413)))
  1822 (let ((@x1018 (unit-resolution @x960 (unit-resolution @x794 (unit-resolution @x607 @x1015 $x604) $x775) @x853 @x763 @x1014 @x799 $x363)))
  1823 (let ((@x1021 ((_ th-lemma arith farkas -1/2 1/2 -1/2 1/2 -1/2 1/2 1/2 -1/2 1/2 1/2 -1/2 -1/2 -1/2 1) @x832 @x966 (unit-resolution @x865 (unit-resolution @x623 @x1018 $x620) $x840) @x835 @x1014 @x853 @x731 @x730 @x720 @x716 @x715 @x711 @x994 @x972 false)))
  1824 (let ((@x1025 (unit-resolution (lemma @x1021 (or $x438 $x733 $x734 $x658)) @x716 @x731 @x711 $x438)))
  1825 (let ((@x1035 (unit-resolution @x884 (unit-resolution @x693 (unit-resolution @x599 @x1025 $x596) $x678) @x731 @x716 @x711 @x994 $x872)))
  1826 (let ((@x1037 (unit-resolution @x617 (unit-resolution @x893 @x1035 $x847) $x388)))
  1827 (let (($x1024 (>= ?x931 0)))
  1828 (let ((@x1040 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x605) $x1024)) (unit-resolution (def-axiom (or $x413 $x605)) @x844 $x605) $x1024)))
  1829 (let ((@x1043 (unit-resolution @x865 (unit-resolution @x623 (unit-resolution @x1032 @x844 @x1037 $x363) $x620) $x840)))
  1830 (let ((@x1046 ((_ th-lemma arith farkas -1 1 -1 1 1 -1 1 1 -1 -1 -1 1 -1 1 1) (unit-resolution @x950 (unit-resolution @x615 @x1037 $x612) $x936) @x853 @x1043 @x835 @x731 @x730 @x720 @x716 @x715 @x711 @x994 @x1040 @x812 @x972 @x1037 false)))
  1831 (let ((@x1049 (unit-resolution (lemma @x1046 (or $x413 $x733 $x734 $x658)) @x716 @x731 @x711 $x413)))
  1832 (let ((@x895 (hypothesis $x463)))
  1833 (let ((@x897 (unit-resolution @x725 (unit-resolution @x591 @x895 $x588) $x681)))
  1834 (let ((@x901 ((_ th-lemma arith farkas -1/2 1/2 1 -1 -1/2 1/2 -1/2 1/2 -1/2 1/2 1/2 -1/2 -1/2 -1/2 1/2 1) @x832 @x900 (hypothesis $x776) @x812 (hypothesis $x779) @x835 @x897 @x731 @x730 @x720 @x716 @x715 @x711 @x698 @x699 @x895 false)))
  1835 (let ((@x905 (lemma @x901 (or $x902 (not $x669) (not $x776) $x733 $x734 $x658 $x706 $x464))))
  1836 (let ((@x1054 (unit-resolution @x905 (unit-resolution @x791 (unit-resolution @x607 @x1049 $x604) $x776) @x972 @x731 @x716 @x711 (unit-resolution @x828 (unit-resolution @x599 @x1025 $x596) $x669) (unit-resolution @x808 (unit-resolution @x615 @x1037 $x612) $x673) $x902)))
  1837 (let ((@x1057 (unit-resolution @x623 (unit-resolution @x625 (unit-resolution @x909 @x1054 $x823) $x363) $x620)))
  1838 (let (($x707 (not $x670)))
  1839 (let ((@x704 (hypothesis $x338)))
  1840 (let ((@x768 (lemma ((_ th-lemma arith farkas 1 1 1 1 1 1 1 1 1 1) @x731 @x704 @x730 @x720 @x716 @x715 @x764 @x763 @x688 @x762 false) (or $x463 $x733 $x339 $x734 $x766 $x438))))
  1841 (let ((@x770 (unit-resolution @x591 (unit-resolution @x768 @x763 @x704 @x716 @x764 @x731 $x463) $x588)))
  1842 (let ((@x772 ((_ th-lemma arith farkas 1 1 1 1 1 1 1 1 1 1) (unit-resolution @x768 @x763 @x704 @x716 @x764 @x731 $x463) @x731 @x704 @x730 @x720 @x716 @x715 @x764 @x763 (unit-resolution @x725 @x770 $x681) false)))
  1843 (let ((@x774 (lemma @x772 (or $x438 $x733 $x339 $x734 $x766))))
  1844 (let ((@x782 (unit-resolution @x599 (unit-resolution @x774 @x704 @x731 @x716 @x753 $x438) $x596)))
  1845 (let ((@x783 (unit-resolution @x693 @x782 $x678)))
  1846 (let ((@x787 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x413 (not $x603) $x463 $x439 $x784)) @x688 @x687 (unit-resolution @x774 @x704 @x731 @x716 @x753 $x438) @x783 $x413)))
  1847 (let ((@x803 ((_ th-lemma arith assign-bounds 1 1 1 1 1) (or $x388 (not $x775) (not $x603) $x463 $x784 (not $x611)))))
  1848 (let ((@x804 (unit-resolution @x803 @x688 @x799 @x687 @x783 (unit-resolution @x794 (unit-resolution @x607 @x787 $x604) $x775) $x388)))
  1849 (let (($x818 (not $x610)))
  1850 (let (($x817 (not $x776)))
  1851 (let (($x816 (not $x650)))
  1852 (let (($x815 (not $x595)))
  1853 (let (($x814 (not $x642)))
  1854 (let (($x813 (not $x679)))
  1855 (let (($x743 (not $x618)))
  1856 (let (($x819 (or $x364 $x706 $x743 $x463 $x813 $x733 $x339 $x814 $x815 $x734 $x816 $x766 $x817 $x818)))
  1857 (let ((@x821 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1 1 1 1 1 1 1 1 1 -1) $x819) @x688 @x812 @x698 @x720 @x704 @x730 @x715 @x753 @x731 @x716 (unit-resolution @x808 (unit-resolution @x615 @x804 $x612) $x673) @x762 (unit-resolution @x791 (unit-resolution @x607 @x787 $x604) $x776) $x364)))
  1858 (let ((@x836 ((_ th-lemma arith farkas -1 1 1 -1 1 -1 -1 1 1 -2 2 -1 1 -1 1) (unit-resolution @x808 (unit-resolution @x615 @x804 $x612) $x673) @x698 @x762 @x731 @x730 @x720 @x716 @x715 @x711 (unit-resolution @x791 (unit-resolution @x607 @x787 $x604) $x776) @x812 @x835 @x832 (unit-resolution @x828 @x782 $x669) (unit-resolution @x825 (unit-resolution @x625 @x821 $x621) $x779) false)))
  1859 (let ((@x894 (unit-resolution (lemma @x836 (or $x463 $x733 $x734 $x658 $x339)) @x704 @x716 @x711 @x731 $x463)))
  1860 (let ((@x912 (unit-resolution @x884 (unit-resolution @x725 (unit-resolution @x591 @x894 $x588) $x681) @x731 @x716 @x711 @x783 $x872)))
  1861 (let ((@x915 (unit-resolution @x615 (unit-resolution @x617 (unit-resolution @x893 @x912 $x847) $x388) $x612)))
  1862 (let ((@x683 (hypothesis $x670)))
  1863 (let ((@x689 (hypothesis $x438)))
  1864 (let ((@x694 (unit-resolution @x693 (unit-resolution @x599 @x689 $x596) $x678)))
  1865 (let ((@x709 (lemma ((_ th-lemma arith farkas 1 -1 1 -1 1 -1 -1 1 1) @x704 @x703 @x699 @x698 @x689 @x694 @x688 @x687 @x683 false) (or $x463 $x339 $x706 $x439 $x707))))
  1866 (let ((@x722 (unit-resolution @x591 (unit-resolution @x709 @x689 @x699 @x704 @x683 $x463) $x588)))
  1867 (let ((@x732 ((_ th-lemma arith farkas 2 -1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1) @x704 @x703 @x699 @x698 @x694 @x687 @x731 @x730 (unit-resolution @x725 @x722 $x681) @x720 @x716 @x715 @x711 @x683 false)))
  1868 (let ((@x682 (unit-resolution (lemma @x732 (or $x439 $x339 $x706 $x733 $x734 $x658 $x707)) @x699 @x704 @x731 @x716 @x711 @x683 $x439)))
  1869 (let ((@x747 ((_ th-lemma arith assign-bounds 1 1 1 1 1 1 1 1) (or $x463 $x707 $x339 (not $x626) $x706 $x743 (not $x603) $x745 $x438))))
  1870 (let ((@x748 (unit-resolution @x747 @x682 @x687 @x698 @x703 @x704 @x683 @x699 (unit-resolution @x740 (unit-resolution @x601 @x682 $x597) $x675) $x463)))
  1871 (let ((@x754 ((_ th-lemma arith farkas 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1) @x683 @x704 @x703 @x699 @x698 @x687 (unit-resolution @x740 (unit-resolution @x601 @x682 $x597) $x675) @x682 @x731 @x730 @x720 @x716 @x715 @x753 (unit-resolution @x725 (unit-resolution @x591 @x748 $x588) $x681) false)))
  1872 (let ((@x917 (unit-resolution (lemma @x754 (or $x706 $x707 $x339 $x733 $x734 $x658)) (unit-resolution @x808 @x915 $x673) @x704 @x731 @x716 @x711 $x707)))
  1873 (let ((@x887 (unit-resolution @x599 (unit-resolution @x774 @x704 @x731 @x716 @x764 $x438) $x596)))
  1874 (let ((@x889 ((_ th-lemma arith farkas 1 1 1 1 1 1 1 1 1 -1 1) @x844 @x869 @x731 @x730 @x720 @x716 @x715 @x764 @x687 (unit-resolution @x693 @x887 $x678) @x704 false)))
  1875 (let ((@x918 (unit-resolution (lemma @x889 (or $x413 (not $x681) $x733 $x734 $x766 $x339)) (unit-resolution @x725 (unit-resolution @x591 @x894 $x588) $x681) @x731 @x716 @x753 @x704 $x413)))
  1876 (let ((@x921 (unit-resolution @x905 (unit-resolution @x828 @x782 $x669) (unit-resolution @x791 (unit-resolution @x607 @x918 $x604) $x776) @x731 @x716 @x711 (unit-resolution @x808 @x915 $x673) @x894 $x902)))
  1877 (let ((@x924 (unit-resolution @x623 (unit-resolution @x625 (unit-resolution @x909 @x921 $x823) $x363) $x620)))
  1878 (let ((@x929 (lemma (unit-resolution @x926 @x924 @x917 false) (or $x339 $x733 $x734 $x658))))
  1879 (let ((@x1060 ((_ th-lemma arith farkas -1 1 1 -1 1 -1 -1 1 1) @x812 @x972 (unit-resolution @x828 (unit-resolution @x599 @x1025 $x596) $x669) @x832 (unit-resolution @x625 (unit-resolution @x909 @x1054 $x823) $x363) (unit-resolution @x929 @x716 @x731 @x711 $x339) (unit-resolution @x865 @x1057 $x840) @x835 (unit-resolution @x791 (unit-resolution @x607 @x1049 $x604) $x776) false)))
  1880 (let ((@x1164 (hypothesis $x644)))
  1881 (let ((@x1168 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1165 $x664)) @x1164 (hypothesis $x734) false)))
  1882 (let ((@x1169 (lemma @x1168 (or $x1165 $x664))))
  1883 (let ((@x1171 (unit-resolution @x1169 (unit-resolution (lemma @x1060 (or $x734 $x733 $x658)) @x711 @x1148 $x734) $x1165)))
  1884 (let ((@x647 (def-axiom (or $x314 $x644))))
  1885 (let ((@x1172 (unit-resolution @x647 @x1171 $x314)))
  1886 (let ((@x1194 ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x338 $x313 (not $x660) (not $x643) $x289))))
  1887 (let ((@x1219 (unit-resolution @x631 (unit-resolution @x1194 @x1172 @x1126 @x1079 @x1153 $x338) $x628)))
  1888 (let ((@x1118 ((_ th-lemma arith triangle-eq) (or (not $x628) $x663))))
  1889 (let ((@x1220 (unit-resolution @x1118 @x1219 $x663)))
  1890 (let ((@x845 (hypothesis $x389)))
  1891 (let ((@x1071 (unit-resolution @x803 @x845 @x799 (unit-resolution ((_ th-lemma arith assign-bounds 1 2) (or $x775 (not $x933) $x413)) @x1000 @x844 $x775) @x688 @x687 $x784)))
  1892 (let ((@x1074 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x438 (not $x611) $x388 (not $x933) $x413)) @x845 @x799 @x844 @x1000 $x438)))
  1893 (let ((@x1078 (lemma (unit-resolution @x693 (unit-resolution @x599 @x1074 $x596) @x1071 false) (or $x388 $x463 $x413))))
  1894 (let ((@x1084 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1 -1) (or $x745 $x818 $x389 $x463 (not $x603) (not $x1024))) (unit-resolution @x1078 @x688 @x844 $x388) @x812 @x687 @x688 @x1040 $x745)))
  1895 (let ((@x1086 (unit-resolution @x808 (unit-resolution @x615 (unit-resolution @x1078 @x688 @x844 $x388) $x612) $x673)))
  1896 (let ((@x1091 (unit-resolution @x950 (unit-resolution @x615 (unit-resolution @x1078 @x688 @x844 $x388) $x612) $x936)))
  1897 (let ((@x1097 (unit-resolution @x709 (unit-resolution @x1095 @x1091 @x835 @x844 @x853 @x1090 $x338) @x1089 @x688 @x1086 $x439)))
  1898 (let ((@x1101 (lemma (unit-resolution @x740 (unit-resolution @x601 @x1097 $x597) @x1084 false) (or $x463 $x413))))
  1899 (let ((@x1122 (unit-resolution @x725 (unit-resolution @x591 (unit-resolution @x1101 @x844 $x463) $x588) $x681)))
  1900 (let (($x1106 (>= ?x1104 0)))
  1901 (let ((@x1161 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1136 $x1106)) (hypothesis $x645) (hypothesis (not $x1106)) false)))
  1902 (let ((@x1162 (lemma @x1161 (or $x1136 $x1106))))
  1903 (let ((@x1174 (unit-resolution @x1162 (unit-resolution (def-axiom (or $x313 $x645)) @x1172 $x645) $x1106)))
  1904 (let ((@x850 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x847 $x780)) (unit-resolution @x617 @x845 $x613) $x780)))
  1905 (let ((@x1113 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x936 $x673)) (unit-resolution ((_ th-lemma arith assign-bounds 1 2) (or $x706 (not $x780) $x388)) @x850 @x845 $x706) $x936)))
  1906 (let ((@x1115 (unit-resolution @x631 (unit-resolution @x1095 @x1113 @x835 @x853 @x844 @x1090 $x338) $x628)))
  1907 (let ((@x1127 (hypothesis $x660)))
  1908 (let (($x635 (>= ?x357 0)))
  1909 (let ((@x1130 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x358) $x635)) @x561 $x635)))
  1910 (let ((@x859 ((_ th-lemma arith farkas 1 1 1 1 1 1 1 1 1) @x858 @x857 @x853 @x845 @x731 @x730 @x850 @x844 (hypothesis $x313) false)))
  1911 (let ((@x1134 (unit-resolution (lemma @x859 (or $x413 $x860 $x388 $x733 $x314)) (unit-resolution @x1132 @x1115 $x667) @x844 @x731 @x845 $x314)))
  1912 (let ((@x649 (def-axiom (or $x313 $x645))))
  1913 (let ((@x1139 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1136 $x1106)) (unit-resolution @x649 @x1134 $x645) $x1106)))
  1914 (let ((@x1140 (unit-resolution @x893 (unit-resolution @x617 @x845 $x613) $x839)))
  1915 (let ((@x1141 ((_ th-lemma arith farkas 1/2 -1/2 1/2 -1/2 -1/2 -1 1/2 -1/2 -1/2 1/2 1/2 1/2 -1/2 1/2 1) @x1090 @x835 @x698 @x1140 @x1139 @x1130 @x1127 @x1126 @x720 @x715 @x711 (unit-resolution @x693 (unit-resolution @x599 @x1074 $x596) $x678) @x687 @x1122 (unit-resolution @x1118 @x1115 $x663) false)))
  1916 (let ((@x1175 (unit-resolution (lemma @x1141 (or $x388 (not $x660) $x658 $x413 $x733)) @x844 @x711 @x1153 @x1148 $x388)))
  1917 (let ((@x1154 (hypothesis $x1106)))
  1918 (let ((@x1155 ((_ th-lemma arith farkas 1/2 -1/2 1/2 -1/2 1/2 -1/2 1/2 1/2 -1/2 -1/2 -1/2 1/2 -1/2 1) @x683 @x703 @x699 @x698 @x1154 @x1153 @x1126 @x720 @x715 @x711 @x868 @x687 @x869 @x1079 false)))
  1919 (let ((@x1178 (unit-resolution (lemma @x1155 (or (not $x1106) $x707 $x706 $x658 $x784 (not $x681) $x289)) (unit-resolution @x808 (unit-resolution @x615 @x1175 $x612) $x673) @x1174 @x711 @x1122 @x1089 @x1079 $x784)))
  1920 (let ((@x1180 (unit-resolution @x1095 @x1090 @x835 @x844 (unit-resolution @x950 (unit-resolution @x615 @x1175 $x612) $x936) @x853 $x338)))
  1921 (let ((@x1183 (unit-resolution @x1105 (unit-resolution @x1132 (unit-resolution @x631 @x1180 $x628) $x667) @x844 @x1079 $x438)))
  1922 (let ((@x1187 (lemma (unit-resolution @x693 (unit-resolution @x599 @x1183 $x596) @x1178 false) (or $x413 $x289 $x658))))
  1923 (let ((@x1223 (unit-resolution @x791 (unit-resolution @x607 (unit-resolution @x1187 @x711 @x1079 $x413) $x604) $x776)))
  1924 (let ((@x1190 (unit-resolution @x794 (unit-resolution @x607 (hypothesis $x413) $x604) $x775)))
  1925 (let ((@x1196 (unit-resolution @x631 (unit-resolution @x1194 (hypothesis $x314) @x1126 @x1079 @x1153 $x338) $x628)))
  1926 (let ((@x1191 (hypothesis $x314)))
  1927 (let ((@x1202 ((_ th-lemma arith assign-bounds 1 1 1 1 1) (or $x363 $x313 (not $x635) (not $x663) (not $x660) (not $x643)))))
  1928 (let ((@x1203 (unit-resolution @x1202 (unit-resolution @x1118 @x1196 $x663) @x1126 @x1191 @x1153 @x1130 $x363)))
  1929 (let ((@x1188 (hypothesis $x413)))
  1930 (let ((@x1206 ((_ th-lemma arith farkas -1 -1 -1 1 1 -1 1 -1 1) @x1188 @x1079 (unit-resolution @x926 (unit-resolution @x623 @x1203 $x620) $x670) @x703 @x857 (unit-resolution @x1132 @x1196 $x667) @x763 @x799 @x1190 false)))
  1931 (let ((@x1208 (lemma @x1206 (or $x438 $x414 $x289 $x313))))
  1932 (let ((@x1224 (unit-resolution @x1208 (unit-resolution @x1187 @x711 @x1079 $x413) @x1079 @x1172 $x438)))
  1933 (let (($x1200 (not $x663)))
  1934 (let (($x1199 (not $x635)))
  1935 (let (($x1192 (not $x643)))
  1936 (let (($x1142 (not $x660)))
  1937 (let ((@x1227 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1 1 1 1 -1 1 -1) (or $x706 $x743 $x313 $x1142 $x1192 $x817 $x1199 $x1200 $x439 $x818)) @x1172 @x698 @x1130 @x1126 @x812 @x1153 @x1224 @x1223 @x1220 $x706)))
  1938 (let ((@x1228 (unit-resolution @x794 (unit-resolution @x607 (unit-resolution @x1187 @x711 @x1079 $x413) $x604) $x775)))
  1939 (let ((@x1232 (unit-resolution @x623 (unit-resolution @x1202 @x1220 @x1126 @x1172 @x1153 @x1130 $x363) $x620)))
  1940 (let ((@x1209 (hypothesis $x840)))
  1941 (let ((@x1212 (unit-resolution @x591 (unit-resolution @x803 @x845 @x799 (hypothesis $x775) @x868 @x687 $x463) $x588)))
  1942 (let ((@x1214 (hypothesis $x663)))
  1943 (let ((@x1215 ((_ th-lemma arith farkas -1 2 -2 -1 1 1 1 -1 -1 -1 -1 1 -1 1 1) @x698 @x1130 @x1214 @x1127 @x1126 @x1154 @x720 @x715 @x711 (unit-resolution @x725 @x1212 $x681) @x1209 @x835 @x868 @x687 @x1140 false)))
  1944 (let ((@x1217 (lemma @x1215 (or $x388 $x1200 $x1142 (not $x1106) $x658 (not $x840) $x784 (not $x775)))))
  1945 (let ((@x1234 (unit-resolution @x1217 @x1220 @x1153 @x1174 @x711 (unit-resolution @x865 @x1232 $x840) (unit-resolution @x693 (unit-resolution @x599 @x1224 $x596) $x678) @x1228 $x388)))
  1946 (let ((@x1238 (lemma (unit-resolution @x808 (unit-resolution @x615 @x1234 $x612) @x1227 false) (or $x658 $x289))))
  1947 (let ((@x1268 (unit-resolution @x631 (unit-resolution @x1095 @x1113 @x835 @x844 @x1090 @x853 $x338) $x628)))
  1948 (let ((@x1271 ((_ th-lemma arith triangle-eq) (or (not $x588) $x672))))
  1949 (let ((@x1272 (unit-resolution @x1271 (unit-resolution @x591 (unit-resolution @x1101 @x844 $x463) $x588) $x672)))
  1950 (let ((@x1273 (unit-resolution (lemma @x859 (or $x413 $x860 $x388 $x733 $x314)) (unit-resolution @x1132 @x1268 $x667) @x844 @x731 @x845 $x314)))
  1951 (let ((@x1277 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1136 $x1250)) (unit-resolution @x649 @x1273 $x645) $x1250)))
  1952 (let ((@x1251 (hypothesis $x780)))
  1953 (let ((@x1252 (hypothesis $x672)))
  1954 (let (($x594 (<= ?x482 0)))
  1955 (let ((@x1255 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x483) $x594)) @x556 $x594)))
  1956 (let (($x651 (>= ?x332 0)))
  1957 (let ((@x1259 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x333) $x651)) @x563 $x651)))
  1958 (let ((@x1261 ((_ th-lemma arith farkas 1/2 -1 -1/2 -1/2 1/2 1/2 1/2 -1/2 1/2 -1/2 -1/2 1/2 -1/2 1/2 1) @x683 @x857 @x703 (hypothesis $x1250) @x1259 @x1256 @x731 @x730 @x900 @x832 @x1255 @x1252 @x1251 @x853 @x858 false)))
  1959 (let ((@x1265 (lemma @x1261 (or $x657 $x707 $x1262 $x733 (not $x669) (not $x672) (not $x780) $x860))))
  1960 (let ((@x1278 (unit-resolution @x1265 @x1277 @x1089 @x731 @x900 @x1272 @x850 (unit-resolution @x1132 @x1268 $x667) $x657)))
  1961 (let ((@x1280 ((_ th-lemma arith triangle-eq) (or $x92 $x766 $x710))))
  1962 (let (($x583 (not $x92)))
  1963 (let (($x570 (or $x582 $x583)))
  1964 (let ((@x578 (monotonicity (rewrite (= $x93 (not $x570))) (= (not $x93) (not (not $x570))))))
  1965 (let ((@x568 (trans @x578 (rewrite (= (not (not $x570)) $x570)) (= (not $x93) $x570))))
  1966 (let ((@x569 (mp (not-or-elim (mp (asserted $x95) @x552 $x548) (not $x93)) @x568 $x570)))
  1967 (let ((@x1282 (unit-resolution @x569 (unit-resolution @x1280 @x1278 (hypothesis $x658) $x92) $x582)))
  1968 (let ((?x652 (+ x1$ ?x235)))
  1969 (let (($x654 (>= ?x652 0)))
  1970 (let (($x587 (>= ?x507 0)))
  1971 (let ((@x555 (and-elim @x554 $x508)))
  1972 (let ((@x1287 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x508) $x587)) @x555 $x587)))
  1973 (let ((?x1145 (+ x2$ ?x506)))
  1974 (let (($x1239 (<= ?x1145 0)))
  1975 (let (($x584 (= x2$ ?x495)))
  1976 (let ((@x1289 ((_ th-lemma arith assign-bounds 1 1 1 1 1) (or $x488 $x815 $x413 $x784 (not $x603) (not $x681)))))
  1977 (let ((@x573 (def-axiom (or (not $x488) $x584))))
  1978 (let ((@x1291 (unit-resolution @x573 (unit-resolution @x1289 @x868 @x687 @x844 @x1122 @x720 $x488) $x584)))
  1979 (let ((@x1294 ((_ th-lemma arith triangle-eq) (or (not $x584) $x1239))))
  1980 (let ((@x1296 ((_ th-lemma arith assign-bounds 1 -3/2 3/2 -1 1/2 -1/2 1/2 -1/2 -1 1 1/2 -1/2 -1/2 1/2 1/2 1/2 -1/2) (unit-resolution @x1294 @x1291 $x1239) @x720 @x1122 @x1287 @x1090 @x731 @x730 @x835 @x1040 @x812 @x850 @x853 (unit-resolution @x1162 (unit-resolution @x649 @x1273 $x645) $x1106) @x715 @x1278 @x868 @x687 $x654)))
  1981 (let (($x653 (<= ?x652 0)))
  1982 (let (($x586 (<= ?x507 0)))
  1983 (let ((@x1299 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x508) $x586)) @x555 $x586)))
  1984 (let (($x1240 (>= ?x1145 0)))
  1985 (let ((@x1301 ((_ th-lemma arith triangle-eq) (or (not $x584) $x1240))))
  1986 (let ((@x1303 ((_ th-lemma arith assign-bounds 1 -3/2 3/2 -1 1/2 -1/2 1/2 -1/2 -1 1 1/2 -1/2 -1/2 1/2 1/2 1/2 -1/2) (unit-resolution @x1301 @x1291 $x1240) @x1255 @x1272 @x1299 @x1089 @x1127 @x1126 @x703 @x1000 @x799 @x1140 @x698 @x1277 @x1259 (hypothesis $x658) @x900 @x832 $x653)))
  1987 (let ((@x1307 ((_ th-lemma arith triangle-eq) (or $x91 (not $x653) (not $x654)))))
  1988 (let ((@x1310 (lemma (unit-resolution @x1307 @x1303 @x1296 @x1282 false) (or $x388 $x1142 $x710 (not $x669) $x733 $x784 $x413))))
  1989 (let ((@x1332 (unit-resolution @x1310 (unit-resolution @x828 @x1328 $x669) (unit-resolution @x1238 @x1079 $x658) @x1153 @x1148 (unit-resolution @x693 @x1328 $x678) @x844 $x388)))
  1990 (let (($x1304 (not $x653)))
  1991 (let ((@x1338 (unit-resolution ((_ th-lemma arith assign-bounds 2 -1) (or $x780 $x389 (not $x936))) (unit-resolution @x950 (unit-resolution @x615 @x1332 $x612) $x936) @x1332 $x780)))
  1992 (let ((@x1339 (unit-resolution @x1095 (unit-resolution @x950 (unit-resolution @x615 @x1332 $x612) $x936) @x835 @x844 @x1090 @x853 $x338)))
  1993 (let ((@x1341 (unit-resolution @x1132 (unit-resolution @x631 @x1339 $x628) $x667)))
  1994 (let ((@x1316 (unit-resolution @x631 (unit-resolution @x1095 @x1029 @x835 @x844 @x1090 @x853 $x338) $x628)))
  1995 (let ((@x1318 ((_ th-lemma arith farkas -1 -1 -1 1 -1 1 -1 1 1) @x1026 (hypothesis $x313) @x731 @x730 @x853 @x844 (unit-resolution @x1132 @x1316 $x667) @x857 @x1029 false)))
  1996 (let ((@x1342 (unit-resolution (lemma @x1318 (or $x314 $x389 $x733 $x413)) @x1332 @x1148 @x844 $x314)))
  1997 (let ((@x1312 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1136 $x1250)) (hypothesis $x645) (hypothesis $x1262) false)))
  1998 (let ((@x1313 (lemma @x1312 (or $x1136 $x1250))))
  1999 (let ((@x1345 (unit-resolution @x1265 (unit-resolution @x1313 (unit-resolution @x649 @x1342 $x645) $x1250) @x1341 @x1148 (unit-resolution @x828 @x1328 $x669) @x1272 @x1338 @x1089 $x657)))
  2000 (let ((@x1347 (unit-resolution @x569 (unit-resolution @x1280 @x1345 (unit-resolution @x1238 @x1079 $x658) $x92) $x582)))
  2001 (let ((@x1348 (unit-resolution @x1289 (unit-resolution @x693 @x1328 $x678) @x687 @x844 @x1122 @x720 $x488)))
  2002 (let ((@x1314 (hypothesis $x1024)))
  2003 (let (($x1305 (not $x654)))
  2004 (let ((@x1321 (hypothesis $x1305)))
  2005 (let ((@x1322 (hypothesis $x1239)))
  2006 (let ((@x1323 ((_ th-lemma arith farkas -2 -1 1 -1 -1 1 1 -1 1 -1 1 -1 1 1) @x1026 @x731 @x730 @x853 @x858 @x857 @x1322 @x720 @x869 @x1287 @x1321 @x1314 @x812 @x1029 false)))
  2007 (let ((@x1326 (lemma @x1323 (or $x654 $x389 $x733 $x860 (not $x1239) (not $x681) (not $x1024)))))
  2008 (let ((@x1351 (unit-resolution @x1326 @x1332 @x1148 @x1341 (unit-resolution @x1294 (unit-resolution @x573 @x1348 $x584) $x1239) @x1122 @x1040 $x654)))
  2009 (let ((@x1354 ((_ th-lemma arith farkas -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 2 2 -2 1) @x1153 @x1126 @x698 @x1341 @x857 (unit-resolution @x1301 (unit-resolution @x573 @x1348 $x584) $x1240) @x1255 @x1272 @x1299 (unit-resolution @x1307 @x1351 @x1347 $x1304) @x1000 @x799 @x1079 @x1089 @x703 (unit-resolution @x808 (unit-resolution @x615 @x1332 $x612) $x673) false)))
  2010 (let ((@x641 (def-axiom (or $x288 $x637))))
  2011 (let ((@x1435 (unit-resolution @x641 (unit-resolution (lemma @x1354 (or $x413 $x289)) @x844 $x289) $x637)))
  2012 (let ((@x1438 ((_ th-lemma arith triangle-eq) (or (not $x637) $x1370))))
  2013 (let ((@x1439 (unit-resolution @x1438 @x1435 $x1370)))
  2014 (let ((@x1374 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1 1) (or $x1200 $x1199 $x288 (not $x840) $x388 (not $x627))) @x845 @x1130 @x1371 @x866 @x835 $x1200)))
  2015 (let ((@x1377 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x338 $x364 (not $x840) $x388 (not $x627))) @x845 @x835 @x841 @x866 $x338)))
  2016 (let ((@x1381 (lemma (unit-resolution @x1118 (unit-resolution @x631 @x1377 $x628) @x1374 false) (or $x388 $x288 $x364))))
  2017 (let ((@x1440 (unit-resolution @x1381 (unit-resolution (lemma @x1354 (or $x413 $x289)) @x844 $x289) (unit-resolution (lemma @x1065 (or $x363 $x413)) @x844 $x363) $x388)))
  2018 (let ((@x1442 (unit-resolution @x950 (unit-resolution @x615 @x1440 $x612) $x936)))
  2019 (let ((@x1445 (unit-resolution (unit-resolution @x1095 @x835 @x853 (or $x338 (not $x840) (not $x936) $x413)) @x1442 @x844 @x1090 $x338)))
  2020 (let ((@x1448 (unit-resolution @x808 (unit-resolution @x615 @x1440 $x612) $x673)))
  2021 (let (($x1361 (<= ?x1357 0)))
  2022 (let ((@x1450 ((_ th-lemma arith triangle-eq) (or (not $x637) $x1361))))
  2023 (let ((@x1451 (unit-resolution @x1450 @x1435 $x1361)))
  2024 (let ((@x1452 (unit-resolution @x1118 (unit-resolution @x631 @x1445 $x628) $x663)))
  2025 (let (($x1403 (not $x1361)))
  2026 (let (($x1002 (not $x933)))
  2027 (let (($x957 (not $x936)))
  2028 (let (($x1092 (not $x840)))
  2029 (let (($x1392 (not $x1370)))
  2030 (let (($x1081 (not $x1024)))
  2031 (let ((@x1383 (hypothesis $x1370)))
  2032 (let ((@x1387 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x488 $x815 $x464 (not $x681) $x438)) @x720 (or $x488 $x464 (not $x681) $x438))))
  2033 (let ((@x1390 (unit-resolution @x1294 (unit-resolution @x573 (unit-resolution @x1387 @x763 @x897 @x895 $x488) $x584) $x1239)))
  2034 (let (($x958 (not $x619)))
  2035 (let (($x1093 (not $x627)))
  2036 (let (($x871 (not $x681)))
  2037 (let (($x1391 (not $x587)))
  2038 (let (($x1324 (not $x1239)))
  2039 (let (($x1393 (or $x654 $x1324 $x1391 $x871 $x815 $x1081 $x818 $x1392 $x814 $x1092 $x1093 $x957 $x958 $x1200 $x1199)))
  2040 (let ((@x1395 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1 -1 1 -1 1 2 -2 1 -1 1 -1) $x1393) @x1390 @x812 @x853 @x835 @x1130 @x730 @x1287 @x897 @x1001 @x1209 @x1314 @x1214 @x720 @x1383 $x654)))
  2041 (let ((@x1396 (hypothesis $x1361)))
  2042 (let ((@x1397 (hypothesis $x933)))
  2043 (let ((@x1399 (unit-resolution @x1301 (unit-resolution @x573 (unit-resolution @x1387 @x763 @x897 @x895 $x488) $x584) $x1240)))
  2044 (let (($x1404 (not $x634)))
  2045 (let (($x742 (not $x626)))
  2046 (let (($x801 (not $x611)))
  2047 (let (($x1402 (not $x594)))
  2048 (let (($x1263 (not $x672)))
  2049 (let (($x1401 (not $x586)))
  2050 (let (($x1400 (not $x1240)))
  2051 (let (($x1405 (or $x653 $x1400 $x1401 $x1263 $x1402 $x1002 $x801 $x1403 $x1192 $x707 $x742 $x706 $x743 $x860 $x1404)))
  2052 (let ((@x1407 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1 -1 1 -1 1 2 -2 1 -1 1 -1) $x1405) @x1399 @x799 @x698 @x703 @x857 @x1126 @x1299 @x699 @x683 @x858 (unit-resolution @x1271 (unit-resolution @x591 @x895 $x588) $x672) @x1397 @x1396 @x1255 $x653)))
  2053 (let ((@x1411 ((_ th-lemma arith assign-bounds 1 1 2 2 1 1 1 1 1 1 1) (or $x313 $x1403 $x1192 $x707 $x742 $x706 $x743 $x1002 $x438 $x801 $x860 $x1404))))
  2054 (let ((@x1412 (unit-resolution @x1411 @x763 @x698 @x703 @x857 @x1126 @x799 @x699 @x683 @x858 @x1397 @x1396 $x313)))
  2055 (let ((@x1415 ((_ th-lemma arith triangle-eq) (or $x1165 $x1382))))
  2056 (let ((@x1417 ((_ th-lemma arith assign-bounds 1 -1 -1 1 2 -2 1 -1 -3 3 -1 1 -2 2 -1 1) (unit-resolution @x1415 (unit-resolution @x647 @x1412 $x644) $x1382) @x1259 (unit-resolution @x1271 (unit-resolution @x591 @x895 $x588) $x672) @x1255 @x1397 @x799 @x1396 @x1126 @x683 @x703 @x699 @x698 @x858 @x857 @x966 @x832 $x657)))
  2057 (let ((@x1419 ((_ th-lemma arith assign-bounds 1 -1 -1 1 2 -2 1 -1 -3 3 -1 1 -2 2 -1 1) (unit-resolution @x1169 (unit-resolution @x647 @x1412 $x644) $x664) @x715 @x897 @x720 @x1314 @x812 @x1383 @x730 @x1209 @x835 @x1001 @x853 @x1214 @x1130 @x941 @x687 $x658)))
  2058 (let ((@x1420 (unit-resolution @x1280 @x1419 @x1417 (unit-resolution @x569 (unit-resolution @x1307 @x1407 @x1395 $x91) $x583) false)))
  2059 (let ((@x1422 (lemma @x1420 (or $x438 $x1081 $x1392 $x1092 $x957 $x1200 $x1002 $x1403 $x707 $x706 $x860 $x464))))
  2060 (let ((@x1453 (unit-resolution @x1422 @x1040 @x1439 @x1090 @x1442 @x1452 @x1000 @x1451 @x1089 @x1448 (unit-resolution @x1132 (unit-resolution @x631 @x1445 $x628) $x667) (unit-resolution @x1101 @x844 $x463) $x438)))
  2061 (let ((@x1459 (unit-resolution (unit-resolution @x1289 @x687 @x720 (or $x488 $x413 $x784 $x871)) (unit-resolution @x693 (unit-resolution @x599 @x1453 $x596) $x678) @x844 @x1122 $x488)))
  2062 (let ((@x1462 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1 -1 1 -1 1 2 -2 1 -1 1 -1) $x1393) (unit-resolution @x1294 (unit-resolution @x573 @x1459 $x584) $x1239) @x812 @x853 @x835 @x1130 @x730 @x720 @x1122 @x1442 @x1090 @x1040 @x1452 @x1287 @x1439 $x654)))
  2063 (let ((@x1464 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1 -1 1 -1 1 2 -2 1 -1 1 -1) $x1405) (unit-resolution @x1301 (unit-resolution @x573 @x1459 $x584) $x1240) @x799 @x698 @x703 @x857 @x1126 @x1255 @x1448 @x1089 (unit-resolution @x1132 (unit-resolution @x631 @x1445 $x628) $x667) @x1272 @x1000 @x1451 @x1299 $x653)))
  2064 (let (($x1156 (not $x1106)))
  2065 (let ((@x1423 ((_ th-lemma arith farkas -1 -1 -1 -1 1 1 1 -1 -1 1 1 -1 1) @x715 @x711 @x868 @x869 @x720 @x687 @x683 @x703 @x1396 @x1126 @x699 @x698 @x1154 false)))
  2066 (let ((@x1426 (unit-resolution (lemma @x1423 (or $x1156 $x658 $x784 $x871 $x707 $x1403 $x706)) @x711 @x694 @x869 @x683 @x1396 @x699 $x1156)))
  2067 (let ((@x1429 (unit-resolution @x647 (unit-resolution @x649 (unit-resolution @x1162 @x1426 $x1136) $x313) $x644)))
  2068 (let ((@x1431 ((_ th-lemma arith farkas 1/2 -1/2 -3/2 3/2 -1/2 1/2 1 -1 -1 1 1/2 -1/2 -1/2 -1/2 -1/2 1/2 1/2 1) @x1383 @x730 @x1209 @x835 @x1001 @x853 @x1314 @x812 @x1214 @x1130 (unit-resolution @x1169 @x1429 $x664) @x715 @x711 @x694 @x869 @x720 @x687 @x689 false)))
  2069 (let ((@x1433 (lemma @x1431 (or $x658 $x1392 $x1092 $x957 $x1081 $x1200 $x871 $x439 $x707 $x1403 $x706))))
  2070 (let ((@x1467 (unit-resolution @x1433 @x1439 @x1090 @x1442 @x1040 @x1452 @x1122 @x1453 @x1089 @x1451 @x1448 $x658)))
  2071 (let ((@x1468 (unit-resolution @x1280 @x1467 (unit-resolution @x569 (unit-resolution @x1307 @x1464 @x1462 $x91) $x583) $x766)))
  2072 (let (($x1470 (not $x602)))
  2073 (let (($x903 (not $x669)))
  2074 (let (($x1469 (not $x651)))
  2075 (let (($x1471 (or $x1262 $x1469 $x657 $x903 $x1263 $x1402 $x1470 $x1092 $x1093 $x1392 $x814 $x957 $x958)))
  2076 (let ((@x1473 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1 -1 1 1 1 -1 -1 1 1 -1) $x1471) @x1468 @x853 @x835 @x730 @x1259 @x832 (unit-resolution @x828 (unit-resolution @x599 @x1453 $x596) $x669) @x1272 @x1442 @x1090 @x1255 @x1439 $x1262)))
  2077 (let ((@x1476 (unit-resolution @x647 (unit-resolution @x649 (unit-resolution @x1313 @x1473 $x1136) $x313) $x644)))
  2078 (let ((@x1478 ((_ th-lemma arith farkas -1 -1 -2 -1 -1 1 1 1 -1 -1 1 1 -1 1) @x1259 @x1468 (unit-resolution @x649 (unit-resolution @x1313 @x1473 $x1136) $x313) (unit-resolution @x828 (unit-resolution @x599 @x1453 $x596) $x669) @x1272 @x1255 @x832 @x1090 @x835 @x1439 @x730 @x1442 @x853 (unit-resolution @x1415 @x1476 $x1382) false)))
  2079 (let ((@x1479 (lemma @x1478 $x413)))
  2080 (let ((@x1536 (unit-resolution @x791 (unit-resolution @x607 @x1479 $x604) $x776)))
  2081 (let ((@x1515 (unit-resolution @x794 (unit-resolution @x607 @x1479 $x604) $x775)))
  2082 (let ((@x1360 (lemma ((_ th-lemma arith farkas 1 1 1 1 1) @x1188 @x763 @x799 @x845 @x1190 false) (or $x438 $x414 $x388))))
  2083 (let ((@x1518 (unit-resolution @x693 (unit-resolution @x599 (unit-resolution @x1360 @x845 @x1479 $x438) $x596) $x678)))
  2084 (let ((@x1521 (unit-resolution (unit-resolution @x803 @x799 @x687 (or $x388 (not $x775) $x463 $x784)) @x1518 @x1515 @x845 $x463)))
  2085 (let ((@x1523 (unit-resolution @x1271 (unit-resolution @x591 @x1521 $x588) $x672)))
  2086 (let ((@x1524 (unit-resolution @x828 (unit-resolution @x599 (unit-resolution @x1360 @x845 @x1479 $x438) $x596) $x669)))
  2087 (let ((@x906 (hypothesis $x902)))
  2088 (let ((@x1366 (unit-resolution ((_ th-lemma arith assign-bounds 2 -1) (or $x779 $x364 $x1092)) (unit-resolution @x625 (unit-resolution @x909 @x906 $x823) $x363) @x906 $x1092)))
  2089 (let ((@x1367 (unit-resolution @x623 (unit-resolution @x625 (unit-resolution @x909 @x906 $x823) $x363) $x620)))
  2090 (let ((@x1369 (lemma (unit-resolution @x865 @x1367 @x1366 false) $x779)))
  2091 (let ((@x1483 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 -1 1 -1) (or $x902 $x338 $x1093 $x872 $x743 $x414)) @x835 @x1369 @x698 (or $x338 $x872 $x414))))
  2092 (let ((@x1486 (unit-resolution @x1118 (unit-resolution @x631 (unit-resolution @x1483 @x1140 @x1479 $x338) $x628) $x663)))
  2093 (let ((@x1489 (unit-resolution ((_ th-lemma arith assign-bounds 1 2 2 2 2 2) (or $x872 $x957 $x1200 $x1199 $x288 $x1092 $x1093)) @x1371 @x1130 @x835 @x1140 @x1113 @x1486 $x1092)))
  2094 (let ((@x1495 (unit-resolution (unit-resolution ((_ th-lemma arith assign-bounds 2 1) (or $x707 $x363 $x902)) @x1369 (or $x707 $x363)) (unit-resolution @x1381 @x1371 @x845 $x364) $x707)))
  2095 (let ((@x1500 (lemma (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x840 $x670)) @x1495 @x1489 false) (or $x288 $x388))))
  2096 (let ((@x639 (def-axiom (or $x289 $x636))))
  2097 (let ((@x1508 (unit-resolution @x1152 (unit-resolution @x639 (unit-resolution @x1500 @x845 $x288) $x636) $x660)))
  2098 (let ((@x1535 (unit-resolution @x1132 (unit-resolution @x631 (unit-resolution @x1483 @x1140 @x1479 $x338) $x628) $x667)))
  2099 (let ((@x1537 (unit-resolution @x1147 (unit-resolution @x639 (unit-resolution @x1500 @x845 $x288) $x636) $x661)))
  2100 (let (($x585 (= ?x98 ?x495)))
  2101 (let (($x1544 (not $x585)))
  2102 (let ((?x1502 (+ ?x98 ?x506)))
  2103 (let (($x1503 (<= ?x1502 0)))
  2104 (let (($x1548 (not $x1503)))
  2105 (let (($x1107 (not $x780)))
  2106 (let (($x1549 (or $x654 $x1548 $x903 $x1263 $x1402 $x1470 $x1391 $x817 $x818 $x733 $x814 $x1107 $x860 $x1404 $x958)))
  2107 (let ((@x1568 (unit-resolution ((_ th-lemma arith assign-bounds 1 -2 -1 1 2 -1 -1 1 -1 1 1 -1 1 -1) $x1549) @x1321 @x832 @x812 @x853 @x857 @x730 @x1255 @x731 @x1536 @x858 @x1251 @x900 @x1252 @x1287 $x1548)))
  2108 (let ((@x1566 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1544 $x1503)) (hypothesis $x585) (hypothesis $x1548) false)))
  2109 (let ((@x1567 (lemma @x1566 (or $x1544 $x1503))))
  2110 (let ((@x575 (def-axiom (or $x488 $x585))))
  2111 (let ((@x1571 (unit-resolution @x573 (unit-resolution @x575 (unit-resolution @x1567 @x1568 $x1544) $x488) $x584)))
  2112 (let ((@x1573 ((_ th-lemma arith farkas -1/2 1/2 1 1/2 -1/2 -1 1/2 -1/2 1/2 -1/2 -1/2 1/2 -1/2 1/2 -1/2 1) @x1251 @x853 @x900 @x1252 @x1255 @x832 @x731 @x730 @x858 @x857 (unit-resolution @x1294 @x1571 $x1239) @x1287 @x1321 @x1536 @x812 (unit-resolution @x575 (unit-resolution @x1567 @x1568 $x1544) $x488) false)))
  2113 (let ((@x1575 (lemma @x1573 (or $x654 $x1107 $x903 $x1263 $x733 $x860))))
  2114 (let ((@x1581 (unit-resolution @x1118 (unit-resolution @x631 (unit-resolution @x1483 @x867 @x1479 $x338) $x628) $x663)))
  2115 (let (($x800 (not $x775)))
  2116 (let (($x1583 (or $x1400 $x414 $x872 $x743 $x1142 $x1192 $x1200 $x1199 $x1401 $x653 $x1263 $x1402 $x800 $x801)))
  2117 (let ((@x1585 (unit-resolution ((_ th-lemma arith assign-bounds 2 1 -1 -1 1 -1 1 -1 1 1 -1 -1 1) $x1583) (hypothesis $x1304) @x1479 @x799 @x698 @x1130 @x1126 @x1255 @x1127 @x1515 @x867 @x1252 @x1581 @x1299 $x1400)))
  2118 (let (($x1504 (>= ?x1502 0)))
  2119 (let (($x1556 (not $x1504)))
  2120 (let (($x744 (not $x603)))
  2121 (let (($x1557 (or $x653 $x1556 $x784 $x871 $x815 $x744 $x1401 $x800 $x801 $x1142 $x1192 $x872 $x1200 $x1199 $x743)))
  2122 (let ((@x1586 (unit-resolution ((_ th-lemma arith assign-bounds 1 -2 -1 1 2 -1 -1 1 -1 1 1 -1 1 -1) $x1557) (hypothesis $x1304) @x687 @x799 @x698 @x1130 @x1126 @x720 @x1127 @x868 @x1515 @x869 @x867 @x1581 @x1299 $x1556)))
  2123 (let ((@x1577 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1544 $x1504)) (hypothesis $x585) (hypothesis $x1556) false)))
  2124 (let ((@x1578 (lemma @x1577 (or $x1544 $x1504))))
  2125 (let ((@x1589 (unit-resolution @x573 (unit-resolution @x575 (unit-resolution @x1578 @x1586 $x1544) $x488) $x584)))
  2126 (let ((@x1592 (lemma (unit-resolution @x1301 @x1589 @x1585 false) (or $x653 $x1142 $x872 $x1263 $x784 $x871))))
  2127 (let ((@x1594 (unit-resolution @x1592 @x1508 @x1140 @x1523 @x1518 (unit-resolution @x725 (unit-resolution @x591 @x1521 $x588) $x681) $x653)))
  2128 (let ((@x1595 (unit-resolution @x1307 @x1594 (unit-resolution @x1575 @x850 @x1524 @x1523 @x1537 @x1535 $x654) $x91)))
  2129 (let ((@x1597 (unit-resolution @x1280 (unit-resolution @x569 @x1595 $x583) (unit-resolution @x1238 (unit-resolution @x1500 @x845 $x288) $x658) $x766)))
  2130 (let ((@x1511 (unit-resolution (unit-resolution @x1202 @x1126 @x1130 (or $x363 $x313 $x1200 $x1142)) @x1027 @x1486 @x1508 $x313)))
  2131 (let (($x1501 (>= ?x778 0)))
  2132 (let ((@x1528 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x823 $x1501)) (unit-resolution @x625 @x1027 $x621) $x1501)))
  2133 (let (($x1529 (not $x1501)))
  2134 (let (($x1531 (or $x657 $x1529 $x742 $x1530 $x1469 $x1142 $x1192 $x1107 $x958 $x903 $x1263 $x1402 $x1470)))
  2135 (let ((@x1532 ((_ th-lemma arith assign-bounds 1 -1 -1 1 -1 1 -1 1 1 1 -1 -1) $x1531)))
  2136 (let ((@x1533 (unit-resolution @x1532 @x1528 @x853 @x703 @x1126 @x1259 @x1255 @x1508 @x850 @x1524 @x1523 @x832 (unit-resolution @x1415 (unit-resolution @x647 @x1511 $x644) $x1382) $x657)))
  2137 (let ((@x1534 (unit-resolution @x1280 @x1533 (unit-resolution @x1238 (unit-resolution @x1500 @x845 $x288) $x658) $x92)))
  2138 (let (($x489 (not $x488)))
  2139 (let ((@x1541 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1 1 1 1 1) (or $x489 $x1263 $x1402 $x1470 $x903 $x363 $x958 $x388 $x1107)) @x832 @x853 @x1255 (or $x489 $x1263 $x903 $x363 $x388 $x1107))))
  2140 (let ((@x1543 (unit-resolution @x575 (unit-resolution @x1541 @x1027 @x845 @x850 @x1524 @x1523 $x489) $x585)))
  2141 (let ((@x1551 (unit-resolution ((_ th-lemma arith assign-bounds 1 -2 -1 1 2 -1 -1 1 -1 1 1 -1 1 -1) $x1549) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1544 $x1503)) @x1543 $x1503) @x832 @x812 @x853 @x857 @x730 @x1287 @x1537 @x1536 @x1535 @x850 @x1524 @x1523 @x1255 $x654)))
  2142 (let ((@x1559 (unit-resolution ((_ th-lemma arith assign-bounds 1 -2 -1 1 2 -1 -1 1 -1 1 1 -1 1 -1) $x1557) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x1544 $x1504)) @x1543 $x1504) @x687 @x799 @x698 @x1130 @x1126 @x1299 @x1508 @x1518 @x1515 (unit-resolution @x725 (unit-resolution @x591 @x1521 $x588) $x681) @x1140 @x1486 @x720 $x653)))
  2143 (let ((@x1561 (unit-resolution @x569 (unit-resolution @x1307 @x1559 @x1551 $x91) @x1534 false)))
  2144 (let ((@x1599 (unit-resolution @x623 (unit-resolution (lemma @x1561 (or $x363 $x388)) @x845 $x363) $x620)))
  2145 (let ((@x1601 (unit-resolution @x1265 @x1597 @x1535 @x1537 @x1524 @x1523 @x850 (unit-resolution @x926 @x1599 $x670) $x1262)))
  2146 (let ((@x1604 (unit-resolution @x647 (unit-resolution @x649 (unit-resolution @x1313 @x1601 $x1136) $x313) $x644)))
  2147 (let ((@x1608 (unit-resolution ((_ th-lemma arith assign-bounds -2 2 -2 2 -2 -1) (or $x1501 $x733 $x814 $x860 $x1404 $x314 $x707)) (unit-resolution @x649 (unit-resolution @x1313 @x1601 $x1136) $x313) @x730 @x1537 (unit-resolution @x926 @x1599 $x670) @x1535 @x857 $x1501)))
  2148 (let ((@x1609 (unit-resolution @x1532 @x1608 (unit-resolution @x1415 @x1604 $x1382) @x853 @x703 @x1126 @x1259 @x1597 @x1508 @x850 @x1524 @x1523 @x832 @x1255 false)))
  2149 (let ((@x1610 (lemma @x1609 $x388)))
  2150 (let ((@x1615 (unit-resolution @x808 (unit-resolution @x615 @x1610 $x612) $x673)))
  2151 (let ((@x1808 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1 1 1 1 1) (or $x439 $x706 $x817 $x818 $x743 $x1199 $x288 $x1626 $x338)) @x1371 @x698 @x1701 @x1130 @x812 @x1615 @x1536 @x1738 $x439)))
  2152 (let ((@x1781 (unit-resolution (unit-resolution ((_ th-lemma arith assign-bounds 2 1) (or $x707 $x363 $x902)) @x1369 (or $x707 $x363)) @x1027 $x707)))
  2153 (let (($x1637 (not $x629)))
  2154 (let ((@x1667 (unit-resolution ((_ th-lemma arith assign-bounds -1 1 -1 -1 1) (or $x1626 $x1199 $x288 $x1529 $x389 $x742)) @x1528 @x1130 @x1371 @x1610 @x703 $x1626)))
  2155 (let ((@x1670 (unit-resolution @x631 (unit-resolution @x633 (unit-resolution @x1641 @x1667 $x1637) $x338) $x628)))
  2156 (let ((@x1672 ((_ th-lemma arith farkas 1 1 1 1 1) @x1027 (unit-resolution @x1118 @x1670 $x663) @x1130 @x1371 (unit-resolution @x633 (unit-resolution @x1641 @x1667 $x1637) $x338) false)))
  2157 (let ((@x1711 (unit-resolution @x639 (unit-resolution (lemma @x1672 (or $x363 $x288)) @x1027 $x288) $x636)))
  2158 (let ((@x1712 (unit-resolution @x1152 @x1711 $x660)))
  2159 (let ((@x1618 (unit-resolution @x1438 (unit-resolution @x641 (unit-resolution @x1238 @x711 $x289) $x637) $x1370)))
  2160 (let ((@x1619 (unit-resolution @x1450 (unit-resolution @x641 (unit-resolution @x1238 @x711 $x289) $x637) $x1361)))
  2161 (let ((@x1616 (unit-resolution @x1238 @x711 $x289)))
  2162 (let ((@x1676 (unit-resolution @x623 (unit-resolution (lemma @x1672 (or $x363 $x288)) @x1616 $x363) $x620)))
  2163 (let ((@x1677 (unit-resolution @x926 @x1676 $x670)))
  2164 (let ((@x1611 (unit-resolution @x950 (unit-resolution @x615 @x1610 $x612) $x936)))
  2165 (let ((@x1643 (unit-resolution (unit-resolution @x960 @x853 @x799 (or $x363 $x957 $x438 $x800)) @x763 @x1611 @x1515 $x363)))
  2166 (let ((@x1645 (unit-resolution @x926 (unit-resolution @x623 @x1643 $x620) $x670)))
  2167 (let ((@x1612 (hypothesis $x875)))
  2168 (let ((@x1613 (hypothesis $x675)))
  2169 (let ((@x1622 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1 1 1 1 1) (or $x313 $x707 $x742 $x288 $x1192 $x414 $x1403 $x706 $x743)) @x683 @x703 @x1616 @x1126 @x1479 @x1615 @x698 @x1619 $x313)))
  2170 (let ((@x1625 ((_ th-lemma arith assign-bounds -1 1 1 -1 -1 -1 1 1 -1 -3 3 1 2 -2 -2 2) (unit-resolution @x1169 (unit-resolution @x647 @x1622 $x644) $x664) @x715 @x711 @x720 @x687 @x683 @x703 @x730 @x1618 @x1615 @x698 @x1613 @x1612 @x1130 @x1536 @x812 $x871)))
  2171 (let ((@x1628 ((_ th-lemma arith assign-bounds 1 1 1 1 2 2 1 1 1 1 1) (or $x463 $x744 $x745 $x707 $x742 $x706 $x743 $x1626 $x1199 $x817 $x818 $x288))))
  2172 (let ((@x1629 (unit-resolution @x1628 @x1612 @x812 @x698 @x703 @x1130 @x1616 @x1615 @x683 @x1613 @x1536 @x687 $x463)))
  2173 (let ((@x1633 (lemma (unit-resolution @x725 (unit-resolution @x591 @x1629 $x588) @x1625 false) (or $x1626 $x658 $x707 $x745))))
  2174 (let ((@x1648 (unit-resolution @x633 (unit-resolution @x1641 (unit-resolution @x1633 @x1645 @x711 @x941 $x1626) $x1637) $x338)))
  2175 (let ((@x1650 ((_ th-lemma arith assign-bounds -1 -2 -2 2 -2 2) (or $x1024 $x817 $x339 $x707 $x742 $x706 $x743))))
  2176 (let ((@x1653 (unit-resolution @x747 @x687 @x698 @x703 (or $x463 $x707 $x339 $x706 $x745 $x438))))
  2177 (let ((@x1662 (unit-resolution @x1422 (unit-resolution @x1132 (unit-resolution @x631 @x1648 $x628) $x667) (unit-resolution @x1118 (unit-resolution @x631 @x1648 $x628) $x663) @x1618 @x763 @x1611 (unit-resolution @x865 (unit-resolution @x623 @x1643 $x620) $x840) (unit-resolution ((_ th-lemma arith assign-bounds 2 -1) (or $x933 $x414 $x800)) @x1515 @x1479 $x933) @x1619 @x1645 @x1615 (unit-resolution @x1653 @x1648 @x941 @x1645 @x1615 @x763 $x463) (unit-resolution @x1650 @x1648 @x703 @x1615 @x1645 @x1536 @x698 $x1024) false)))
  2178 (let ((@x1678 (unit-resolution (lemma @x1662 (or $x438 $x658)) @x711 $x438)))
  2179 (let ((@x1683 (unit-resolution ((_ th-lemma arith assign-bounds 2 -1) (or $x675 $x439 $x784)) (unit-resolution @x693 (unit-resolution @x599 @x1678 $x596) $x678) @x1678 $x675)))
  2180 (let ((@x1686 (unit-resolution @x633 (unit-resolution @x1641 (unit-resolution @x1633 @x1677 @x711 @x1683 $x1626) $x1637) $x338)))
  2181 (let ((@x1692 (unit-resolution @x591 (unit-resolution @x709 @x1686 @x1615 @x1678 @x1677 $x463) $x588)))
  2182 (let ((@x1694 (unit-resolution @x1433 (unit-resolution @x725 @x1692 $x681) (unit-resolution @x1118 (unit-resolution @x631 @x1686 $x628) $x663) @x1615 @x1611 @x711 @x1678 (unit-resolution @x865 @x1676 $x840) (unit-resolution @x1650 @x1686 @x703 @x1615 @x1677 @x1536 @x698 $x1024) @x1677 @x1619 @x1618 false)))
  2183 (let ((@x1695 (lemma @x1694 $x658)))
  2184 (let ((@x1698 (unit-resolution (unit-resolution @x960 @x853 @x799 (or $x363 $x957 $x438 $x800)) @x1027 @x1611 @x1515 $x438)))
  2185 (let ((@x1700 (unit-resolution @x828 (unit-resolution @x599 @x1698 $x596) $x669)))
  2186 (let ((@x1704 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1 1 1 1 1) (or $x464 $x1470 $x817 $x818 $x903 $x338 $x1093 $x363 $x902)) @x1701 @x812 @x1027 @x835 @x832 @x1536 @x1700 @x1369 $x464)))
  2187 (let ((@x1708 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x589) $x1697)) (unit-resolution @x593 @x1704 $x589) $x1697)))
  2188 (let ((@x1709 (unit-resolution @x693 (unit-resolution @x599 @x1698 $x596) $x678)))
  2189 (let ((@x1714 (unit-resolution @x1194 @x1126 (or $x338 $x313 $x1142 $x289))))
  2190 (let ((@x1715 (unit-resolution @x1714 @x1701 @x1712 (unit-resolution (lemma @x1672 (or $x363 $x288)) @x1027 $x288) $x313)))
  2191 (let ((@x1717 (unit-resolution @x1415 (unit-resolution @x647 @x1715 $x644) $x1382)))
  2192 (let (($x1718 (not $x1697)))
  2193 (let (($x1719 (or $x657 $x1718 $x744 $x1530 $x1469 $x1402 $x957 $x958 $x784 $x800 $x801 $x742 $x1529 $x1142 $x1192)))
  2194 (let ((@x1721 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 -1 1 -1 -1 1 -1 -2 2 -1 1 -1 1) $x1719) @x1717 @x799 @x853 @x703 @x1126 @x1259 @x1255 @x1712 @x1709 @x1515 @x1611 @x1528 @x687 @x1708 $x657)))
  2195 (let (($x1696 (>= ?x666 0)))
  2196 (let ((@x1726 ((_ th-lemma arith triangle-eq) (or $x1637 $x1696))))
  2197 (let ((@x1727 (unit-resolution @x1726 (unit-resolution @x633 @x1701 $x629) $x1696)))
  2198 (let ((@x1730 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1 1 1) (or $x488 $x1530 $x1469 $x710 $x338 $x1142 $x1192)) @x1701 @x1126 @x1259 @x1695 @x1712 @x1717 $x488)))
  2199 (let (($x1733 (not $x1696)))
  2200 (let (($x1734 (or $x654 $x1324 $x1391 $x1530 $x1469 $x710 $x1470 $x817 $x818 $x903 $x1093 $x902 $x1733 $x1404)))
  2201 (let ((@x1736 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1) $x1734) (unit-resolution @x1294 (unit-resolution @x573 @x1730 $x584) $x1239) @x812 @x835 @x857 @x1259 @x1287 @x1695 @x1536 @x1700 @x1369 @x832 @x1717 @x1727 $x654)))
  2202 (let (($x1740 (or $x653 $x1400 $x1401 $x734 $x816 $x766 $x744 $x800 $x801 $x784 $x742 $x1529 $x1626 $x1199)))
  2203 (let ((@x1742 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1) $x1740) @x1721 @x799 @x703 @x1130 @x715 @x1299 @x687 (unit-resolution @x1169 (unit-resolution @x647 @x1715 $x644) $x664) @x1709 @x1515 @x1738 (unit-resolution @x1301 (unit-resolution @x573 @x1730 $x584) $x1240) @x1528 $x653)))
  2204 (let ((@x1743 (unit-resolution @x1307 @x1742 @x1736 (unit-resolution @x569 (unit-resolution @x1280 @x1721 @x1695 $x92) $x582) false)))
  2205 (let ((@x1784 (unit-resolution @x631 (unit-resolution (lemma @x1743 (or $x338 $x363)) @x1027 $x338) $x628)))
  2206 (let ((@x1785 (unit-resolution @x1118 @x1784 $x663)))
  2207 (let ((@x1788 (unit-resolution ((_ th-lemma arith assign-bounds 2 2 2 2 2 1) (or $x1529 $x1142 $x1192 $x1200 $x1199 $x313 $x1092)) @x1785 @x1528 @x1712 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x840 $x670)) @x1781 $x840) @x1126 @x1130 $x313)))
  2208 (let ((@x1790 (unit-resolution @x1415 (unit-resolution @x647 @x1788 $x644) $x1382)))
  2209 (let ((@x1791 (unit-resolution ((_ th-lemma arith assign-bounds 2 -1) (or $x780 $x389 $x957)) @x1611 @x1610 $x780)))
  2210 (let ((@x1796 (unit-resolution ((_ th-lemma arith assign-bounds 1 -2) (or $x875 $x1200 $x339)) (unit-resolution (lemma @x1743 (or $x338 $x363)) @x1027 $x338) @x1785 $x875)))
  2211 (let ((@x1750 (hypothesis $x1382)))
  2212 (let ((@x1747 ((_ th-lemma arith farkas 1 -1 1 -1 1 1 -1 1 -1 -1 1 1 -1 -2 2 1) @x832 @x1287 @x1321 @x716 @x715 @x764 @x1536 @x812 @x900 @x835 @x1369 @x857 @x858 @x731 @x730 (hypothesis $x1503) false)))
  2213 (let ((@x1751 (unit-resolution (lemma @x1747 (or $x1548 $x654 $x734 $x766 $x903 $x860 $x733)) @x1321 @x716 @x764 @x900 @x858 @x731 $x1548)))
  2214 (let ((@x1754 (unit-resolution @x573 (unit-resolution @x575 (unit-resolution @x1567 @x1751 $x1544) $x488) $x584)))
  2215 (let ((@x1758 (unit-resolution ((_ th-lemma arith assign-bounds -1 -2 -2 2 2 -2 2) (or $x1696 $x860 $x489 $x734 $x816 $x766 $x733 $x814)) (unit-resolution @x575 (unit-resolution @x1567 @x1751 $x1544) $x488) @x715 @x764 @x731 @x716 @x858 @x730 $x1696)))
  2216 (let ((@x1759 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1) $x1734) @x1758 (unit-resolution @x1294 @x1754 $x1239) @x812 @x835 @x857 @x1259 @x1750 @x1695 @x1536 @x900 @x1369 @x1321 @x832 @x1287 false)))
  2217 (let ((@x1765 (unit-resolution (lemma @x1759 (or $x654 $x1530 $x903 $x766 $x733 $x734 $x860)) @x764 @x900 @x1750 @x731 @x716 @x858 $x654)))
  2218 (let ((@x1766 (unit-resolution @x1307 @x1765 (unit-resolution @x569 (unit-resolution @x1280 @x764 @x1695 $x92) $x582) $x1304)))
  2219 (let ((@x1767 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1) $x1740) @x1766 @x799 @x703 @x1130 @x715 @x1299 @x687 @x716 @x868 @x1515 @x1612 @x764 (hypothesis $x1501) $x1400)))
  2220 (let (($x1768 (or $x1556 $x744 $x1401 $x653 $x1530 $x1469 $x710 $x800 $x801 $x784 $x742 $x1529 $x1199 $x1200 $x1142 $x1192)))
  2221 (let ((@x1770 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 1 -1 1 1 -1 1 -1 -1 1 1 -1 -2 2) $x1768) @x1766 @x799 @x703 @x1130 @x1126 @x1259 @x687 @x1695 @x1127 @x868 @x1515 @x1214 (hypothesis $x1501) @x1750 @x1299 $x1556)))
  2222 (let ((@x1773 (unit-resolution @x573 (unit-resolution @x575 (unit-resolution @x1578 @x1770 $x1544) $x488) $x584)))
  2223 (let ((@x1776 (lemma (unit-resolution @x1301 @x1773 @x1767 false) (or $x766 $x1142 $x784 $x1200 $x1529 $x1530 $x734 $x1626 $x903 $x733 $x860))))
  2224 (let ((@x1798 (unit-resolution @x1776 @x1712 @x1709 @x1785 @x1528 @x1790 (unit-resolution @x1169 (unit-resolution @x647 @x1788 $x644) $x664) @x1796 @x1700 (unit-resolution @x1147 @x1711 $x661) (unit-resolution @x1132 @x1784 $x667) $x766)))
  2225 (let ((@x1799 (unit-resolution @x1532 @x1798 @x853 @x703 @x1126 @x1259 @x1528 @x1712 @x1791 @x1700 @x1790 @x832 @x1255 $x1263)))
  2226 (let (($x759 (not $x589)))
  2227 (let ((@x1800 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 -1 1 -1 -1 1 -1 -2 2 -1 1 -1 1) $x1719) @x1798 @x799 @x853 @x703 @x1126 @x1259 @x1790 @x1712 @x1709 @x1515 @x1611 @x1528 @x687 @x1255 $x1718)))
  2228 (let ((@x1803 (unit-resolution @x591 (unit-resolution @x593 (unit-resolution @x1780 @x1800 $x759) $x463) $x588)))
  2229 (let ((@x1805 (lemma (unit-resolution @x1271 @x1803 @x1799 false) $x363)))
  2230 (let ((@x1812 (unit-resolution @x926 (unit-resolution @x623 @x1805 $x620) $x670)))
  2231 (let ((@x1814 (unit-resolution @x1628 @x812 @x698 @x703 @x1130 @x1615 @x1812 @x1536 @x687 (or $x463 $x745 $x1626 $x288))))
  2232 (let ((@x1815 (unit-resolution @x1814 (unit-resolution @x740 (unit-resolution @x601 @x1808 $x597) $x675) @x1738 @x1371 $x463)))
  2233 (let ((@x1818 (unit-resolution @x865 (unit-resolution @x623 @x1805 $x620) $x840)))
  2234 (let ((@x1819 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x738 $x932)) (unit-resolution @x601 @x1808 $x597) $x932)))
  2235 (let ((@x1823 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1 1 1 1 1) (or $x313 $x707 $x742 $x288 $x1192 $x414 $x1403 $x706 $x743)) @x703 @x1812 @x1126 @x1479 @x1615 @x698 (or $x313 $x288 $x1403))))
  2236 (let ((@x1824 (unit-resolution @x1823 (unit-resolution @x1450 (unit-resolution @x641 @x1371 $x637) $x1361) @x1371 $x313)))
  2237 (let ((@x1827 ((_ th-lemma arith farkas -1 -3 3 -2 2 -2 2 -1 1 1 1 -1 1 -1 -1 1 1) @x1255 @x1611 @x853 @x1515 @x799 @x857 @x1727 (unit-resolution @x1415 (unit-resolution @x647 @x1824 $x644) $x1382) @x1259 @x1256 @x1126 (unit-resolution @x1450 (unit-resolution @x641 @x1371 $x637) $x1361) @x1819 @x1818 @x832 @x835 (unit-resolution @x1271 (unit-resolution @x591 @x1815 $x588) $x672) false)))
  2238 (let ((@x1829 (lemma @x1827 (or $x288 $x657 $x338))))
  2239 (let ((@x1844 (unit-resolution @x1829 @x1701 @x1256 $x288)))
  2240 (let ((@x1848 (unit-resolution @x1208 @x1479 (or $x438 $x289 $x313))))
  2241 (let ((@x1851 (unit-resolution @x1415 (unit-resolution @x647 (unit-resolution @x1848 @x1844 @x763 $x313) $x644) $x1382)))
  2242 (let ((@x1831 ((_ th-lemma arith farkas -1 1 -1 -1 1 1 1 -1 1 1 -1 -1 1) @x1255 @x1615 @x698 @x1750 @x1259 @x1256 @x1126 @x1613 @x1812 @x687 @x703 @x1127 (hypothesis $x1697) false)))
  2243 (let ((@x1833 (lemma @x1831 (or $x745 $x1530 $x657 $x1142 $x1718))))
  2244 (let ((@x1852 (unit-resolution @x1833 (unit-resolution @x1152 (unit-resolution @x639 @x1844 $x636) $x660) @x1843 @x1256 @x1851 $x1718)))
  2245 (let ((@x1855 (unit-resolution @x591 (unit-resolution @x593 (unit-resolution @x1780 @x1852 $x759) $x463) $x588)))
  2246 (let ((@x1857 ((_ th-lemma arith farkas 1/2 -3/2 -1 1 3/2 -1 -1/2 -1/2 1/2 1 1/2 -1/2 -1/2 1/2 1/2 1/2 -1/2 1) @x966 @x1611 @x1515 @x799 @x853 @x857 @x1818 @x832 @x835 @x1727 (unit-resolution @x1271 @x1855 $x672) @x1255 @x1851 @x1259 @x1256 @x1126 (unit-resolution @x1152 (unit-resolution @x639 @x1844 $x636) $x660) @x1844 false)))
  2247 (let ((@x1868 (unit-resolution (lemma @x1857 (or $x338 $x657 $x438)) @x763 @x1256 $x338)))
  2248 (let ((@x1874 (unit-resolution ((_ th-lemma arith assign-bounds 2 2 2 2 2 1) (or $x1529 $x438 $x800 $x801 $x957 $x958 $x1092)) @x853 @x1515 @x1611 @x799 @x1818 (or $x1529 $x438))))
  2249 (let (($x1436 (not $x637)))
  2250 (let ((@x1878 (unit-resolution (unit-resolution @x1650 @x703 @x1615 @x1812 @x1536 @x698 (or $x1024 $x339)) @x1868 $x1024)))
  2251 (let ((@x1881 (unit-resolution (unit-resolution @x1653 @x1812 @x1615 (or $x463 $x339 $x745 $x438)) @x1868 @x1843 @x763 $x463)))
  2252 (let ((@x1864 (unit-resolution @x1422 @x1611 @x1818 (unit-resolution ((_ th-lemma arith assign-bounds 2 -1) (or $x933 $x414 $x800)) @x1515 @x1479 $x933) @x1812 @x1615 (or $x438 $x1081 $x1392 $x1200 $x1403 $x860 $x464))))
  2253 (let ((@x1865 (unit-resolution @x1864 (unit-resolution @x1438 (hypothesis $x637) $x1370) (unit-resolution @x1450 (hypothesis $x637) $x1361) @x763 @x1214 @x858 @x895 @x1314 false)))
  2254 (let ((@x1883 (unit-resolution (lemma @x1865 (or $x1436 $x438 $x1200 $x860 $x464 $x1081)) @x763 (unit-resolution @x1118 (unit-resolution @x631 @x1868 $x628) $x663) (unit-resolution @x1132 (unit-resolution @x631 @x1868 $x628) $x667) @x1881 @x1878 $x1436)))
  2255 (let ((@x1887 (unit-resolution ((_ th-lemma arith assign-bounds -2 2 -2 2 -2 -1) (or $x1501 $x733 $x814 $x860 $x1404 $x314 $x707)) @x1812 @x730 @x857 (or $x1501 $x733 $x860 $x314))))
  2256 (let ((@x1888 (unit-resolution @x1887 (unit-resolution @x1848 (unit-resolution @x641 @x1883 $x288) @x763 $x313) (unit-resolution @x1874 @x763 $x1529) (unit-resolution @x1132 (unit-resolution @x631 @x1868 $x628) $x667) $x733)))
  2257 (let ((@x1890 (unit-resolution @x1147 (unit-resolution @x639 (unit-resolution @x641 @x1883 $x288) $x636) @x1888 false)))
  2258 (let ((@x1894 (unit-resolution (lemma @x1890 (or $x438 $x657)) @x1256 $x438)))
  2259 (let ((@x1897 (unit-resolution (unit-resolution @x709 @x1615 @x1812 (or $x463 $x339 $x439)) @x688 @x1894 $x339)))
  2260 (let ((@x1900 (unit-resolution @x1152 (unit-resolution @x639 (unit-resolution @x1829 @x1897 @x1256 $x288) $x636) $x660)))
  2261 (let ((@x1901 (unit-resolution @x1833 @x1900 @x1843 @x1256 (unit-resolution @x1780 (unit-resolution @x593 @x688 $x589) $x1697) $x1530)))
  2262 (let ((@x1902 (unit-resolution @x1714 @x1900 @x1897 (unit-resolution @x1829 @x1897 @x1256 $x288) $x313)))
  2263 (let ((@x1906 (lemma (unit-resolution @x1415 (unit-resolution @x647 @x1902 $x644) @x1901 false) (or $x463 $x657))))
  2264 (let ((@x1909 (unit-resolution @x1271 (unit-resolution @x591 (unit-resolution @x1906 @x1256 $x463) $x588) $x672)))
  2265 (let ((@x1914 (unit-resolution ((_ th-lemma arith assign-bounds -1 -2 -2 2 2 -2) (or $x1501 $x707 $x706 $x817 $x818 $x743 $x439)) @x1894 @x698 @x1615 @x1812 @x1536 @x812 $x1501)))
  2266 (let ((@x1917 (unit-resolution ((_ th-lemma arith assign-bounds -1 -2 2 -2 2 -2) (or $x839 $x706 $x817 $x818 $x903 $x1470 $x464)) (unit-resolution @x1906 @x1256 $x463) @x812 @x1615 @x1536 @x832 (unit-resolution @x828 (unit-resolution @x599 @x1894 $x596) $x669) $x839)))
  2267 (let ((@x1921 (unit-resolution @x631 (unit-resolution (unit-resolution @x1483 @x1479 (or $x338 $x872)) @x1917 $x338) $x628)))
  2268 (let ((@x1924 (unit-resolution ((_ th-lemma arith assign-bounds 1 2 2 2 2 2) (or $x872 $x957 $x1200 $x1199 $x288 $x1092 $x1093)) @x1130 @x835 @x1611 @x1818 (or $x872 $x1200 $x288))))
  2269 (let ((@x1926 (unit-resolution @x639 (unit-resolution @x1924 (unit-resolution @x1118 @x1921 $x663) @x1917 $x288) $x636)))
  2270 (let ((@x1929 (unit-resolution @x1532 @x853 @x703 @x1126 @x1259 @x1791 @x832 @x1255 (or $x657 $x1529 $x1530 $x1142 $x903 $x1263))))
  2271 (let ((@x1930 (unit-resolution @x1929 (unit-resolution @x1152 @x1926 $x660) @x1256 @x1914 (unit-resolution @x828 (unit-resolution @x599 @x1894 $x596) $x669) @x1909 $x1530)))
  2272 (let ((@x1932 (unit-resolution ((_ th-lemma arith assign-bounds -1 -1 -1 1 1 1 -1 1 -1) (or $x706 $x743 $x313 $x1142 $x1192 $x817 $x1199 $x1200 $x439 $x818)) @x698 @x1130 @x1126 @x812 (or $x706 $x313 $x1142 $x817 $x1200 $x439))))
  2273 (let ((@x1935 (unit-resolution (unit-resolution @x1932 @x1536 @x1615 (or $x313 $x1142 $x1200 $x439)) (unit-resolution @x1152 @x1926 $x660) (unit-resolution @x1118 @x1921 $x663) @x1894 $x313)))
  2274 (let ((@x1938 (lemma (unit-resolution @x1415 (unit-resolution @x647 @x1935 $x644) @x1930 false) $x657)))
  2275 (let ((@x1942 (unit-resolution @x569 (unit-resolution (unit-resolution @x1280 @x1695 (or $x92 $x766)) @x1938 $x92) $x582)))
  2276 (let ((@x1943 (unit-resolution (unit-resolution @x1653 @x1812 @x1615 (or $x463 $x339 $x745 $x438)) @x688 @x1843 @x763 $x339)))
  2277 (let ((@x1947 (unit-resolution @x1814 (unit-resolution @x1641 (unit-resolution @x633 @x1943 $x629) $x875) @x1843 @x688 $x288)))
  2278 (let ((@x1950 (unit-resolution @x1415 (unit-resolution @x647 (unit-resolution @x1848 @x1947 @x763 $x313) $x644) $x1382)))
  2279 (let ((@x1954 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1) (or $x488 $x463 $x813 $x815 $x438)) @x720 (or $x488 $x463 $x813 $x438))))
  2280 (let ((@x1957 (unit-resolution @x1294 (unit-resolution @x573 (unit-resolution @x1954 @x762 @x763 @x688 $x488) $x584) $x1239)))
  2281 (let (($x1958 (not $x932)))
  2282 (let (($x1959 (or $x654 $x1324 $x1391 $x957 $x800 $x801 $x958 $x1404 $x1733 $x1092 $x1093 $x1958 $x1470 $x1530 $x1469 $x710)))
  2283 (let ((@x1961 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 2 1 -1 -2 1 -1 1 -1 -1 1 1 -1 -1) $x1959) @x1957 @x799 @x853 @x835 @x857 @x1259 @x1287 @x1695 @x1515 @x1611 @x966 @x1818 @x832 @x1950 (unit-resolution @x1726 (unit-resolution @x633 @x1943 $x629) $x1696) $x654)))
  2284 (let ((@x1962 (unit-resolution @x1301 (unit-resolution @x573 (unit-resolution @x1954 @x762 @x763 @x688 $x488) $x584) $x1240)))
  2285 (let ((@x1963 (unit-resolution @x1169 (unit-resolution @x647 (unit-resolution @x1848 @x1947 @x763 $x313) $x644) $x664)))
  2286 (let (($x1964 (or $x653 $x1400 $x1401 $x706 $x817 $x818 $x743 $x1199 $x1626 $x707 $x742 $x745 $x744 $x734 $x816 $x766)))
  2287 (let ((@x1966 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 2 1 -1 -2 1 -1 1 -1 -1 1 1 -1 -1) $x1964) @x1963 @x812 @x698 @x703 @x1130 @x715 @x1299 @x1938 @x687 @x1615 @x1812 @x1843 @x1536 (unit-resolution @x1641 (unit-resolution @x633 @x1943 $x629) $x875) @x1962 $x653)))
  2288 (let ((@x1992 (unit-resolution (lemma (unit-resolution @x1307 @x1966 @x1961 @x1942 false) (or $x463 $x438)) @x763 $x463)))
  2289 (let ((@x1995 (unit-resolution @x1387 (unit-resolution @x725 (unit-resolution @x591 @x1992 $x588) $x681) @x763 @x1992 $x488)))
  2290 (let ((@x1983 (unit-resolution @x1450 (unit-resolution @x641 (unit-resolution @x1848 @x1191 @x763 $x289) $x637) (unit-resolution @x1823 @x1191 (unit-resolution @x1848 @x1191 @x763 $x289) $x1403) false)))
  2291 (let ((@x1999 (unit-resolution @x647 (unit-resolution (lemma @x1983 (or $x313 $x438)) @x763 $x313) $x644)))
  2292 (let ((@x1971 (hypothesis $x932)))
  2293 (let ((@x1987 ((_ th-lemma arith assign-bounds 1 -1 1 1 -1 -1 -1 3 -3 1 -1 -1 1 2 -2 2) (unit-resolution @x1450 (hypothesis $x637) $x1361) @x1252 @x1255 (unit-resolution @x1415 @x1164 $x1382) @x1259 @x1695 @x1126 @x1611 @x853 @x1818 @x835 @x1971 @x832 @x1515 @x799 @x857 $x875)))
  2294 (let ((@x1988 ((_ th-lemma arith assign-bounds 1 -1 1 1 -1 -1 -1 3 -3 1 -1 -1 1 2 -2 2) (unit-resolution @x1438 (hypothesis $x637) $x1370) @x869 @x720 (unit-resolution @x1169 @x1164 $x664) @x715 @x1938 @x730 @x1615 @x698 @x1812 @x703 @x1843 @x687 @x1536 @x812 @x1130 $x1696)))
  2295 (let ((@x1974 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 2 1 -1 -2 1 -1 1 -1 -1 1 1 -1 -1) $x1964) (unit-resolution @x1169 @x1164 $x664) @x812 @x698 @x703 @x1130 @x715 @x1299 @x1938 @x687 @x1615 @x1812 @x1843 @x1536 @x1612 (hypothesis $x1240) $x653)))
  2296 (let ((@x1976 (unit-resolution ((_ th-lemma arith assign-bounds 1 -1 2 1 -1 -2 1 -1 1 -1 -1 1 1 -1 -1) $x1959) (unit-resolution @x1307 @x1974 @x1942 $x1305) @x799 @x853 @x835 @x857 @x1259 @x1287 @x1695 @x1515 @x1611 @x1971 @x1818 @x832 @x1322 (hypothesis $x1696) $x1530)))
  2297 (let ((@x1979 (lemma (unit-resolution @x1415 @x1164 @x1976 false) (or $x1165 $x1958 $x1324 $x1733 $x1626 $x1400))))
  2298 (let ((@x1989 (unit-resolution @x1979 @x1988 @x1987 @x1322 @x1971 @x1164 (hypothesis $x1240) false)))
  2299 (let ((@x2002 (unit-resolution (lemma @x1989 (or $x1436 $x1324 $x1958 $x1165 $x1400 $x871 $x1263)) (unit-resolution @x1294 (unit-resolution @x573 @x1995 $x584) $x1239) @x966 @x1999 (unit-resolution @x1301 (unit-resolution @x573 @x1995 $x584) $x1240) (unit-resolution @x725 (unit-resolution @x591 @x1992 $x588) $x681) (unit-resolution @x1271 (unit-resolution @x591 @x1992 $x588) $x672) $x1436)))
  2300 (let ((@x2005 ((_ th-lemma arith assign-bounds -2 -1 1 2 -1 1 -1 1 1 -1 1) (or $x875 $x957 $x800 $x801 $x958 $x1404 $x289 $x1092 $x1093 $x1958 $x1470 $x464))))
  2301 (let ((@x2006 (unit-resolution @x2005 (unit-resolution @x641 @x2002 $x288) @x799 @x853 @x835 @x857 @x832 @x1515 @x1992 @x1611 @x966 @x1818 $x875)))
  2302 (let ((@x2007 (unit-resolution @x1979 @x2006 (unit-resolution @x1294 (unit-resolution @x573 @x1995 $x584) $x1239) @x966 @x1999 (unit-resolution @x1301 (unit-resolution @x573 @x1995 $x584) $x1240) $x1733)))
  2303 (let ((@x2010 (unit-resolution @x1147 (unit-resolution @x639 (unit-resolution @x641 @x2002 $x288) $x636) $x661)))
  2304 (let ((@x2011 (unit-resolution @x774 @x2010 @x1938 @x763 (unit-resolution @x1169 @x1999 $x664) $x339)))
  2305 (let ((@x2014 (lemma (unit-resolution @x1726 (unit-resolution @x633 @x2011 $x629) @x2007 false) $x438)))
  2306 (let ((@x2021 (unit-resolution ((_ th-lemma arith assign-bounds -1 -2 -2 2 2 -2) (or $x1501 $x707 $x706 $x817 $x818 $x743 $x439)) @x2014 @x698 @x1615 @x1812 @x1536 @x812 $x1501)))
  2307 (let ((@x2017 (unit-resolution ((_ th-lemma arith assign-bounds 1 -2) (or $x875 $x1200 $x339)) (unit-resolution @x633 (unit-resolution @x1641 @x1635 $x1637) $x338) @x1635 $x1200)))
  2308 (let ((@x2018 (unit-resolution @x631 (unit-resolution @x633 (unit-resolution @x1641 @x1635 $x1637) $x338) $x628)))
  2309 (let ((@x2020 (lemma (unit-resolution @x1118 @x2018 @x2017 false) $x875)))
  2310 (let ((@x2023 (unit-resolution ((_ th-lemma arith assign-bounds -1 1 -1 -1 1) (or $x1626 $x1199 $x288 $x1529 $x389 $x742)) @x1130 @x1610 @x703 (or $x1626 $x288 $x1529))))
  2311 (let ((@x2026 (unit-resolution @x1152 (unit-resolution @x639 (unit-resolution @x2023 @x2020 @x2021 $x288) $x636) $x660)))
  2312 (let ((@x2027 (unit-resolution @x1714 @x1701 (unit-resolution @x2023 @x2020 @x2021 $x288) @x2026 $x313)))
  2313 (let ((@x2030 (unit-resolution @x828 (unit-resolution @x599 @x2014 $x596) $x669)))
  2314 (let ((@x2034 (unit-resolution ((_ th-lemma arith assign-bounds -2 2 -2 -2 2 -1) (or $x932 $x817 $x818 $x706 $x364 $x743 $x903)) @x698 @x812 (or $x932 $x817 $x706 $x364 $x903))))
  2315 (let ((@x2037 (unit-resolution (unit-resolution @x2034 @x1536 @x1615 @x1805 (or $x932 $x903)) @x2030 $x932)))
  2316 (let ((@x2040 (unit-resolution ((_ th-lemma arith assign-bounds 1 1 1 1 1 1) (or $x488 $x1530 $x1469 $x710 $x338 $x1142 $x1192)) @x1126 @x1259 @x1695 (or $x488 $x1530 $x338 $x1142))))
  2317 (let ((@x2041 (unit-resolution @x2040 (unit-resolution @x1415 (unit-resolution @x647 @x2027 $x644) $x1382) @x1701 @x2026 $x488)))
  2318 (let ((@x2045 (unit-resolution @x1979 (unit-resolution @x1301 (unit-resolution @x573 @x2041 $x584) $x1240) (unit-resolution @x1294 (unit-resolution @x573 @x2041 $x584) $x1239) @x2020 @x2037 (unit-resolution @x647 @x2027 $x644) @x1727 false)))
  2319 (let ((@x2046 (lemma @x2045 $x338)))
  2320 (let ((@x2049 (unit-resolution @x1147 (unit-resolution @x639 (unit-resolution @x2023 @x2020 @x2021 $x288) $x636) $x661)))
  2321 (let ((@x2050 (unit-resolution (unit-resolution @x709 @x1615 @x1812 (or $x463 $x339 $x439)) @x2046 @x2014 $x463)))
  2322 (let ((@x2055 (unit-resolution (unit-resolution @x1575 @x1791 (or $x654 $x903 $x1263 $x733 $x860)) (unit-resolution @x1271 (unit-resolution @x591 @x2050 $x588) $x672) @x2030 @x2049 (unit-resolution @x1132 (unit-resolution @x631 @x2046 $x628) $x667) $x654)))
  2323 (let ((@x2058 (unit-resolution ((_ th-lemma arith assign-bounds -1 -2 2 -2 2 -2) (or $x839 $x706 $x817 $x818 $x903 $x1470 $x464)) @x2050 @x812 @x1615 @x1536 @x832 @x2030 $x839)))
  2324 (let ((@x2059 (unit-resolution @x1592 (unit-resolution @x1271 (unit-resolution @x591 @x2050 $x588) $x672) @x2026 @x2058 (unit-resolution @x693 (unit-resolution @x599 @x2014 $x596) $x678) (unit-resolution @x725 (unit-resolution @x591 @x2050 $x588) $x681) $x653)))
  2325 (unit-resolution @x1307 @x2059 @x2055 @x1942 false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  2326 
  2327 5c29815a1036cbd6b831d4adbe102069cf0d830f 20 0
  2328 unsat
  2329 ((set-logic AUFLIRA)
  2330 (proof
  2331 (let ((?x30 (* 2.0 x$)))
  2332 (let ((?x32 (+ ?x30 1.0)))
  2333 (let ((?x28 (+ x$ x$)))
  2334 (let (($x33 (< ?x28 ?x32)))
  2335 (let (($x34 (or false $x33)))
  2336 (let (($x35 (or $x33 $x34)))
  2337 (let (($x36 (not $x35)))
  2338 (let ((@x67 (monotonicity (rewrite (= (< ?x30 (+ 1.0 ?x30)) true)) (= (not (< ?x30 (+ 1.0 ?x30))) (not true)))))
  2339 (let ((@x71 (trans @x67 (rewrite (= (not true) false)) (= (not (< ?x30 (+ 1.0 ?x30))) false))))
  2340 (let ((?x40 (+ 1.0 ?x30)))
  2341 (let (($x43 (< ?x30 ?x40)))
  2342 (let ((@x45 (monotonicity (rewrite (= ?x28 ?x30)) (rewrite (= ?x32 ?x40)) (= $x33 $x43))))
  2343 (let ((@x52 (trans (monotonicity @x45 (= $x34 (or false $x43))) (rewrite (= (or false $x43) $x43)) (= $x34 $x43))))
  2344 (let ((@x59 (trans (monotonicity @x45 @x52 (= $x35 (or $x43 $x43))) (rewrite (= (or $x43 $x43) $x43)) (= $x35 $x43))))
  2345 (let ((@x62 (monotonicity @x59 (= $x36 (not $x43)))))
  2346 (mp (asserted $x36) (trans @x62 @x71 (= $x36 false)) false))))))))))))))))))
  2347 
  2348 d2037888c28cf52f7a45f66288246169de6f14ad 113 0
  2349 unsat
  2350 ((set-logic <null>)
  2351 (proof
  2352 (let ((?x228 (mod x$ 2)))
  2353 (let ((?x262 (* (- 1) ?x228)))
  2354 (let ((?x31 (mod$ x$ 2)))
  2355 (let ((?x263 (+ ?x31 ?x262)))
  2356 (let (($x280 (>= ?x263 0)))
  2357 (let (($x264 (= ?x263 0)))
  2358 (let (($x205 (forall ((?v0 Int) (?v1 Int) )(!(let ((?x136 (mod ?v0 ?v1)))
  2359 (let ((?x93 (* (- 1) ?v1)))
  2360 (let ((?x90 (* (- 1) ?v0)))
  2361 (let ((?x144 (mod ?x90 ?x93)))
  2362 (let ((?x150 (* (- 1) ?x144)))
  2363 (let (($x111 (<= ?v1 0)))
  2364 (let ((?x170 (ite $x111 ?x150 ?x136)))
  2365 (let (($x78 (= ?v1 0)))
  2366 (let ((?x175 (ite $x78 ?v0 ?x170)))
  2367 (let ((?x135 (mod$ ?v0 ?v1)))
  2368 (= ?x135 ?x175))))))))))) :pattern ( (mod$ ?v0 ?v1) )))
  2369 ))
  2370 (let (($x181 (forall ((?v0 Int) (?v1 Int) )(let ((?x136 (mod ?v0 ?v1)))
  2371 (let ((?x93 (* (- 1) ?v1)))
  2372 (let ((?x90 (* (- 1) ?v0)))
  2373 (let ((?x144 (mod ?x90 ?x93)))
  2374 (let ((?x150 (* (- 1) ?x144)))
  2375 (let (($x111 (<= ?v1 0)))
  2376 (let ((?x170 (ite $x111 ?x150 ?x136)))
  2377 (let (($x78 (= ?v1 0)))
  2378 (let ((?x175 (ite $x78 ?v0 ?x170)))
  2379 (let ((?x135 (mod$ ?v0 ?v1)))
  2380 (= ?x135 ?x175))))))))))))
  2381 ))
  2382 (let ((?x136 (mod ?1 ?0)))
  2383 (let ((?x93 (* (- 1) ?0)))
  2384 (let ((?x90 (* (- 1) ?1)))
  2385 (let ((?x144 (mod ?x90 ?x93)))
  2386 (let ((?x150 (* (- 1) ?x144)))
  2387 (let (($x111 (<= ?0 0)))
  2388 (let ((?x170 (ite $x111 ?x150 ?x136)))
  2389 (let (($x78 (= ?0 0)))
  2390 (let ((?x175 (ite $x78 ?1 ?x170)))
  2391 (let ((?x135 (mod$ ?1 ?0)))
  2392 (let (($x178 (= ?x135 ?x175)))
  2393 (let (($x142 (forall ((?v0 Int) (?v1 Int) )(let (($x78 (= ?v1 0)))
  2394 (let ((?x140 (ite $x78 ?v0 (ite (< 0 ?v1) (mod ?v0 ?v1) (- (mod (- ?v0) (- ?v1)))))))
  2395 (let ((?x135 (mod$ ?v0 ?v1)))
  2396 (= ?x135 ?x140)))))
  2397 ))
  2398 (let (($x164 (forall ((?v0 Int) (?v1 Int) )(let ((?x93 (* (- 1) ?v1)))
  2399 (let ((?x90 (* (- 1) ?v0)))
  2400 (let ((?x144 (mod ?x90 ?x93)))
  2401 (let ((?x150 (* (- 1) ?x144)))
  2402 (let ((?x136 (mod ?v0 ?v1)))
  2403 (let (($x79 (< 0 ?v1)))
  2404 (let ((?x155 (ite $x79 ?x136 ?x150)))
  2405 (let (($x78 (= ?v1 0)))
  2406 (let ((?x158 (ite $x78 ?v0 ?x155)))
  2407 (let ((?x135 (mod$ ?v0 ?v1)))
  2408 (= ?x135 ?x158))))))))))))
  2409 ))
  2410 (let ((@x169 (monotonicity (rewrite (= (< 0 ?0) (not $x111))) (= (ite (< 0 ?0) ?x136 ?x150) (ite (not $x111) ?x136 ?x150)))))
  2411 (let ((@x174 (trans @x169 (rewrite (= (ite (not $x111) ?x136 ?x150) ?x170)) (= (ite (< 0 ?0) ?x136 ?x150) ?x170))))
  2412 (let ((@x177 (monotonicity @x174 (= (ite $x78 ?1 (ite (< 0 ?0) ?x136 ?x150)) ?x175))))
  2413 (let ((@x180 (monotonicity @x177 (= (= ?x135 (ite $x78 ?1 (ite (< 0 ?0) ?x136 ?x150))) $x178))))
  2414 (let (($x79 (< 0 ?0)))
  2415 (let ((?x155 (ite $x79 ?x136 ?x150)))
  2416 (let ((?x158 (ite $x78 ?1 ?x155)))
  2417 (let (($x161 (= ?x135 ?x158)))
  2418 (let (($x162 (= (= ?x135 (ite $x78 ?1 (ite $x79 ?x136 (- (mod (- ?1) (- ?0)))))) $x161)))
  2419 (let ((@x146 (monotonicity (rewrite (= (- ?1) ?x90)) (rewrite (= (- ?0) ?x93)) (= (mod (- ?1) (- ?0)) ?x144))))
  2420 (let ((@x154 (trans (monotonicity @x146 (= (- (mod (- ?1) (- ?0))) (- ?x144))) (rewrite (= (- ?x144) ?x150)) (= (- (mod (- ?1) (- ?0))) ?x150))))
  2421 (let ((@x157 (monotonicity @x154 (= (ite $x79 ?x136 (- (mod (- ?1) (- ?0)))) ?x155))))
  2422 (let ((@x160 (monotonicity @x157 (= (ite $x78 ?1 (ite $x79 ?x136 (- (mod (- ?1) (- ?0))))) ?x158))))
  2423 (let ((@x185 (trans (quant-intro (monotonicity @x160 $x162) (= $x142 $x164)) (quant-intro @x180 (= $x164 $x181)) (= $x142 $x181))))
  2424 (let ((@x196 (mp~ (mp (asserted $x142) @x185 $x181) (nnf-pos (refl (~ $x178 $x178)) (~ $x181 $x181)) $x181)))
  2425 (let ((@x210 (mp @x196 (quant-intro (refl (= $x178 $x178)) (= $x181 $x205)) $x205)))
  2426 (let (($x270 (or (not $x205) $x264)))
  2427 (let ((?x225 (* (- 1) 2)))
  2428 (let ((?x224 (* (- 1) x$)))
  2429 (let ((?x226 (mod ?x224 ?x225)))
  2430 (let ((?x227 (* (- 1) ?x226)))
  2431 (let (($x223 (<= 2 0)))
  2432 (let ((?x229 (ite $x223 ?x227 ?x228)))
  2433 (let (($x222 (= 2 0)))
  2434 (let ((?x230 (ite $x222 x$ ?x229)))
  2435 (let (($x231 (= ?x31 ?x230)))
  2436 (let ((@x244 (monotonicity (monotonicity (rewrite (= ?x225 (- 2))) (= ?x226 (mod ?x224 (- 2)))) (= ?x227 (* (- 1) (mod ?x224 (- 2)))))))
  2437 (let ((@x247 (monotonicity (rewrite (= $x223 false)) @x244 (= ?x229 (ite false (* (- 1) (mod ?x224 (- 2))) ?x228)))))
  2438 (let ((@x251 (trans @x247 (rewrite (= (ite false (* (- 1) (mod ?x224 (- 2))) ?x228) ?x228)) (= ?x229 ?x228))))
  2439 (let ((@x254 (monotonicity (rewrite (= $x222 false)) @x251 (= ?x230 (ite false x$ ?x228)))))
  2440 (let ((@x261 (monotonicity (trans @x254 (rewrite (= (ite false x$ ?x228) ?x228)) (= ?x230 ?x228)) (= $x231 (= ?x31 ?x228)))))
  2441 (let ((@x274 (monotonicity (trans @x261 (rewrite (= (= ?x31 ?x228) $x264)) (= $x231 $x264)) (= (or (not $x205) $x231) $x270))))
  2442 (let ((@x277 (trans @x274 (rewrite (= $x270 $x270)) (= (or (not $x205) $x231) $x270))))
  2443 (let ((@x278 (mp ((_ quant-inst x$ 2) (or (not $x205) $x231)) @x277 $x270)))
  2444 (let ((@x337 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x264) $x280)) (unit-resolution @x278 @x210 $x264) $x280)))
  2445 (let (($x305 (>= ?x228 0)))
  2446 (let (($x64 (>= ?x31 0)))
  2447 (let (($x67 (not $x64)))
  2448 (let (($x36 (not (<= (+ x$ 1) (+ x$ (+ (* 2 ?x31) 1))))))
  2449 (let ((@x69 (monotonicity (rewrite (= (>= (* 2 ?x31) 0) $x64)) (= (not (>= (* 2 ?x31) 0)) $x67))))
  2450 (let ((?x32 (* 2 ?x31)))
  2451 (let ((?x47 (+ 1 x$ ?x32)))
  2452 (let (($x52 (<= (+ 1 x$) ?x47)))
  2453 (let (($x55 (not $x52)))
  2454 (let ((@x63 (monotonicity (rewrite (= $x52 (>= ?x32 0))) (= $x55 (not (>= ?x32 0))))))
  2455 (let ((@x46 (monotonicity (rewrite (= (+ ?x32 1) (+ 1 ?x32))) (= (+ x$ (+ ?x32 1)) (+ x$ (+ 1 ?x32))))))
  2456 (let ((@x51 (trans @x46 (rewrite (= (+ x$ (+ 1 ?x32)) ?x47)) (= (+ x$ (+ ?x32 1)) ?x47))))
  2457 (let ((@x54 (monotonicity (rewrite (= (+ x$ 1) (+ 1 x$))) @x51 (= (<= (+ x$ 1) (+ x$ (+ ?x32 1))) $x52))))
  2458 (let ((@x73 (trans (monotonicity @x54 (= $x36 $x55)) (trans @x63 @x69 (= $x55 $x67)) (= $x36 $x67))))
  2459 (let ((@x74 (mp (asserted $x36) @x73 $x67)))
  2460 ((_ th-lemma arith farkas -1 1 1) @x74 (unit-resolution ((_ th-lemma arith) (or false $x305)) (true-axiom true) $x305) @x337 false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  2461 
  2462 29e336c1b1dbb5e85401e6a2954560661ff3cadc 112 0
  2463 unsat
  2464 ((set-logic <null>)
  2465 (proof
  2466 (let ((?x224 (mod x$ 2)))
  2467 (let (($x318 (>= ?x224 2)))
  2468 (let (($x319 (not $x318)))
  2469 (let ((?x258 (* (- 1) ?x224)))
  2470 (let ((?x29 (mod$ x$ 2)))
  2471 (let ((?x259 (+ ?x29 ?x258)))
  2472 (let (($x275 (<= ?x259 0)))
  2473 (let (($x260 (= ?x259 0)))
  2474 (let (($x201 (forall ((?v0 Int) (?v1 Int) )(!(let ((?x132 (mod ?v0 ?v1)))
  2475 (let ((?x89 (* (- 1) ?v1)))
  2476 (let ((?x86 (* (- 1) ?v0)))
  2477 (let ((?x140 (mod ?x86 ?x89)))
  2478 (let ((?x146 (* (- 1) ?x140)))
  2479 (let (($x107 (<= ?v1 0)))
  2480 (let ((?x166 (ite $x107 ?x146 ?x132)))
  2481 (let (($x74 (= ?v1 0)))
  2482 (let ((?x171 (ite $x74 ?v0 ?x166)))
  2483 (let ((?x131 (mod$ ?v0 ?v1)))
  2484 (= ?x131 ?x171))))))))))) :pattern ( (mod$ ?v0 ?v1) )))
  2485 ))
  2486 (let (($x177 (forall ((?v0 Int) (?v1 Int) )(let ((?x132 (mod ?v0 ?v1)))
  2487 (let ((?x89 (* (- 1) ?v1)))
  2488 (let ((?x86 (* (- 1) ?v0)))
  2489 (let ((?x140 (mod ?x86 ?x89)))
  2490 (let ((?x146 (* (- 1) ?x140)))
  2491 (let (($x107 (<= ?v1 0)))
  2492 (let ((?x166 (ite $x107 ?x146 ?x132)))
  2493 (let (($x74 (= ?v1 0)))
  2494 (let ((?x171 (ite $x74 ?v0 ?x166)))
  2495 (let ((?x131 (mod$ ?v0 ?v1)))
  2496 (= ?x131 ?x171))))))))))))
  2497 ))
  2498 (let ((?x132 (mod ?1 ?0)))
  2499 (let ((?x89 (* (- 1) ?0)))
  2500 (let ((?x86 (* (- 1) ?1)))
  2501 (let ((?x140 (mod ?x86 ?x89)))
  2502 (let ((?x146 (* (- 1) ?x140)))
  2503 (let (($x107 (<= ?0 0)))
  2504 (let ((?x166 (ite $x107 ?x146 ?x132)))
  2505 (let (($x74 (= ?0 0)))
  2506 (let ((?x171 (ite $x74 ?1 ?x166)))
  2507 (let ((?x131 (mod$ ?1 ?0)))
  2508 (let (($x174 (= ?x131 ?x171)))
  2509 (let (($x138 (forall ((?v0 Int) (?v1 Int) )(let (($x74 (= ?v1 0)))
  2510 (let ((?x136 (ite $x74 ?v0 (ite (< 0 ?v1) (mod ?v0 ?v1) (- (mod (- ?v0) (- ?v1)))))))
  2511 (let ((?x131 (mod$ ?v0 ?v1)))
  2512 (= ?x131 ?x136)))))
  2513 ))
  2514 (let (($x160 (forall ((?v0 Int) (?v1 Int) )(let ((?x89 (* (- 1) ?v1)))
  2515 (let ((?x86 (* (- 1) ?v0)))
  2516 (let ((?x140 (mod ?x86 ?x89)))
  2517 (let ((?x146 (* (- 1) ?x140)))
  2518 (let ((?x132 (mod ?v0 ?v1)))
  2519 (let (($x75 (< 0 ?v1)))
  2520 (let ((?x151 (ite $x75 ?x132 ?x146)))
  2521 (let (($x74 (= ?v1 0)))
  2522 (let ((?x154 (ite $x74 ?v0 ?x151)))
  2523 (let ((?x131 (mod$ ?v0 ?v1)))
  2524 (= ?x131 ?x154))))))))))))
  2525 ))
  2526 (let ((@x165 (monotonicity (rewrite (= (< 0 ?0) (not $x107))) (= (ite (< 0 ?0) ?x132 ?x146) (ite (not $x107) ?x132 ?x146)))))
  2527 (let ((@x170 (trans @x165 (rewrite (= (ite (not $x107) ?x132 ?x146) ?x166)) (= (ite (< 0 ?0) ?x132 ?x146) ?x166))))
  2528 (let ((@x173 (monotonicity @x170 (= (ite $x74 ?1 (ite (< 0 ?0) ?x132 ?x146)) ?x171))))
  2529 (let ((@x176 (monotonicity @x173 (= (= ?x131 (ite $x74 ?1 (ite (< 0 ?0) ?x132 ?x146))) $x174))))
  2530 (let (($x75 (< 0 ?0)))
  2531 (let ((?x151 (ite $x75 ?x132 ?x146)))
  2532 (let ((?x154 (ite $x74 ?1 ?x151)))
  2533 (let (($x157 (= ?x131 ?x154)))
  2534 (let (($x158 (= (= ?x131 (ite $x74 ?1 (ite $x75 ?x132 (- (mod (- ?1) (- ?0)))))) $x157)))
  2535 (let ((@x142 (monotonicity (rewrite (= (- ?1) ?x86)) (rewrite (= (- ?0) ?x89)) (= (mod (- ?1) (- ?0)) ?x140))))
  2536 (let ((@x150 (trans (monotonicity @x142 (= (- (mod (- ?1) (- ?0))) (- ?x140))) (rewrite (= (- ?x140) ?x146)) (= (- (mod (- ?1) (- ?0))) ?x146))))
  2537 (let ((@x153 (monotonicity @x150 (= (ite $x75 ?x132 (- (mod (- ?1) (- ?0)))) ?x151))))
  2538 (let ((@x156 (monotonicity @x153 (= (ite $x74 ?1 (ite $x75 ?x132 (- (mod (- ?1) (- ?0))))) ?x154))))
  2539 (let ((@x181 (trans (quant-intro (monotonicity @x156 $x158) (= $x138 $x160)) (quant-intro @x176 (= $x160 $x177)) (= $x138 $x177))))
  2540 (let ((@x192 (mp~ (mp (asserted $x138) @x181 $x177) (nnf-pos (refl (~ $x174 $x174)) (~ $x177 $x177)) $x177)))
  2541 (let ((@x206 (mp @x192 (quant-intro (refl (= $x174 $x174)) (= $x177 $x201)) $x201)))
  2542 (let (($x266 (or (not $x201) $x260)))
  2543 (let ((?x221 (* (- 1) 2)))
  2544 (let ((?x220 (* (- 1) x$)))
  2545 (let ((?x222 (mod ?x220 ?x221)))
  2546 (let ((?x223 (* (- 1) ?x222)))
  2547 (let (($x219 (<= 2 0)))
  2548 (let ((?x225 (ite $x219 ?x223 ?x224)))
  2549 (let (($x218 (= 2 0)))
  2550 (let ((?x226 (ite $x218 x$ ?x225)))
  2551 (let (($x227 (= ?x29 ?x226)))
  2552 (let ((@x240 (monotonicity (monotonicity (rewrite (= ?x221 (- 2))) (= ?x222 (mod ?x220 (- 2)))) (= ?x223 (* (- 1) (mod ?x220 (- 2)))))))
  2553 (let ((@x243 (monotonicity (rewrite (= $x219 false)) @x240 (= ?x225 (ite false (* (- 1) (mod ?x220 (- 2))) ?x224)))))
  2554 (let ((@x247 (trans @x243 (rewrite (= (ite false (* (- 1) (mod ?x220 (- 2))) ?x224) ?x224)) (= ?x225 ?x224))))
  2555 (let ((@x250 (monotonicity (rewrite (= $x218 false)) @x247 (= ?x226 (ite false x$ ?x224)))))
  2556 (let ((@x257 (monotonicity (trans @x250 (rewrite (= (ite false x$ ?x224) ?x224)) (= ?x226 ?x224)) (= $x227 (= ?x29 ?x224)))))
  2557 (let ((@x270 (monotonicity (trans @x257 (rewrite (= (= ?x29 ?x224) $x260)) (= $x227 $x260)) (= (or (not $x201) $x227) $x266))))
  2558 (let ((@x273 (trans @x270 (rewrite (= $x266 $x266)) (= (or (not $x201) $x227) $x266))))
  2559 (let ((@x274 (mp ((_ quant-inst x$ 2) (or (not $x201) $x227)) @x273 $x266)))
  2560 (let ((@x336 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x260) $x275)) (unit-resolution @x274 @x206 $x260) $x275)))
  2561 (let (($x63 (>= ?x29 2)))
  2562 (let ((?x37 (* 2 ?x29)))
  2563 (let (($x56 (>= ?x37 3)))
  2564 (let (($x46 (< (+ x$ ?x37) (+ 3 x$))))
  2565 (let (($x49 (not $x46)))
  2566 (let ((@x58 (monotonicity (rewrite (= $x46 (not $x56))) (= $x49 (not (not $x56))))))
  2567 (let ((@x67 (trans (trans @x58 (rewrite (= (not (not $x56)) $x56)) (= $x49 $x56)) (rewrite (= $x56 $x63)) (= $x49 $x63))))
  2568 (let ((@x42 (monotonicity (rewrite (= (+ ?x29 ?x29) ?x37)) (= (+ x$ (+ ?x29 ?x29)) (+ x$ ?x37)))))
  2569 (let ((@x48 (monotonicity @x42 (rewrite (= (+ x$ 3) (+ 3 x$))) (= (< (+ x$ (+ ?x29 ?x29)) (+ x$ 3)) $x46))))
  2570 (let ((@x51 (monotonicity @x48 (= (not (< (+ x$ (+ ?x29 ?x29)) (+ x$ 3))) $x49))))
  2571 (let ((@x69 (trans @x51 @x67 (= (not (< (+ x$ (+ ?x29 ?x29)) (+ x$ 3))) $x63))))
  2572 (let ((@x70 (mp (asserted (not (< (+ x$ (+ ?x29 ?x29)) (+ x$ 3)))) @x69 $x63)))
  2573 ((_ th-lemma arith farkas -1 1 1) @x70 @x336 (unit-resolution ((_ th-lemma arith) (or false $x319)) (true-axiom true) $x319) false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  2574 
  2575 5bcedd8db3cccf5f1df2ef7ad1ca5e39c817a6f4 32 0
  2576 unsat
  2577 ((set-logic <null>)
  2578 (proof
  2579 (let (($x28 (= x$ 0.0)))
  2580 (let (($x29 (not $x28)))
  2581 (let ((@x30 (asserted $x29)))
  2582 (let (($x101 (<= x$ 0.0)))
  2583 (let ((?x47 (* 2.0 x$)))
  2584 (let (($x99 (<= ?x47 0.0)))
  2585 (let (($x95 (= ?x47 0.0)))
  2586 (let (($x36 (< 1.0 (ite (< x$ 0.0) (- x$) x$))))
  2587 (let (($x38 (or $x36 (not $x36))))
  2588 (let ((?x41 (ite $x38 4.0 2.0)))
  2589 (let (($x45 (not (not (= (+ x$ x$) (* ?x41 x$))))))
  2590 (let ((@x90 (rewrite (= (not (not (= ?x47 (* 4.0 x$)))) (= ?x47 (* 4.0 x$))))))
  2591 (let (($x84 (= (not (= (+ x$ x$) (* ?x41 x$))) (not (= ?x47 (* 4.0 x$))))))
  2592 (let (($x57 (< 1.0 (ite (< x$ 0.0) (* (- 1.0) x$) x$))))
  2593 (let (($x55 (= (ite (< x$ 0.0) (- x$) x$) (ite (< x$ 0.0) (* (- 1.0) x$) x$))))
  2594 (let ((@x59 (monotonicity (monotonicity (rewrite (= (- x$) (* (- 1.0) x$))) $x55) (= $x36 $x57))))
  2595 (let ((@x65 (monotonicity @x59 (monotonicity @x59 (= (not $x36) (not $x57))) (= $x38 (or $x57 (not $x57))))))
  2596 (let ((@x69 (trans @x65 (rewrite (= (or $x57 (not $x57)) true)) (= $x38 true))))
  2597 (let ((@x76 (trans (monotonicity @x69 (= ?x41 (ite true 4.0 2.0))) (rewrite (= (ite true 4.0 2.0) 4.0)) (= ?x41 4.0))))
  2598 (let ((@x82 (monotonicity (rewrite (= (+ x$ x$) ?x47)) (monotonicity @x76 (= (* ?x41 x$) (* 4.0 x$))) (= (= (+ x$ x$) (* ?x41 x$)) (= ?x47 (* 4.0 x$))))))
  2599 (let ((@x88 (monotonicity (monotonicity @x82 $x84) (= $x45 (not (not (= ?x47 (* 4.0 x$))))))))
  2600 (let ((@x97 (trans (trans @x88 @x90 (= $x45 (= ?x47 (* 4.0 x$)))) (rewrite (= (= ?x47 (* 4.0 x$)) $x95)) (= $x45 $x95))))
  2601 (let ((@x98 (mp (asserted $x45) @x97 $x95)))
  2602 (let ((@x110 (unit-resolution ((_ th-lemma arith assign-bounds 1) (or $x101 (not $x99))) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x95) $x99)) @x98 $x99) $x101)))
  2603 (let (($x102 (>= x$ 0.0)))
  2604 (let (($x100 (>= ?x47 0.0)))
  2605 (let ((@x117 (unit-resolution ((_ th-lemma arith assign-bounds 1) (or $x102 (not $x100))) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x95) $x100)) @x98 $x100) $x102)))
  2606 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x28 (not $x101) (not $x102))) @x117 @x110 @x30 false))))))))))))))))))))))))))))))
  2607 
  2608 97186805a3315ef9a1cc4847a2e19a6d09c77915 236 0
  2609 unsat
  2610 ((set-logic <null>)
  2611 (proof
  2612 (let ((?x410 (div n$ 2)))
  2613 (let ((?x704 (* (- 1) ?x410)))
  2614 (let ((?x381 (div n$ 4)))
  2615 (let ((?x601 (* (- 2) ?x381)))
  2616 (let ((?x329 (mod n$ 4)))
  2617 (let ((?x363 (* (- 1) ?x329)))
  2618 (let ((?x35 (mod$ n$ 4)))
  2619 (let ((?x705 (+ n$ ?x35 ?x363 ?x601 ?x704)))
  2620 (let (($x706 (>= ?x705 2)))
  2621 (let ((?x39 (mod$ n$ 2)))
  2622 (let (($x515 (>= ?x39 1)))
  2623 (let (($x725 (not $x515)))
  2624 (let (($x514 (<= ?x39 1)))
  2625 (let ((?x519 (mod n$ 2)))
  2626 (let ((?x534 (* (- 1) ?x519)))
  2627 (let ((?x535 (+ ?x39 ?x534)))
  2628 (let (($x408 (<= ?x535 0)))
  2629 (let (($x490 (= ?x535 0)))
  2630 (let (($x191 (forall ((?v0 Int) (?v1 Int) )(!(let ((?x108 (mod ?v0 ?v1)))
  2631 (let ((?x65 (* (- 1) ?v1)))
  2632 (let ((?x62 (* (- 1) ?v0)))
  2633 (let ((?x116 (mod ?x62 ?x65)))
  2634 (let ((?x122 (* (- 1) ?x116)))
  2635 (let (($x83 (<= ?v1 0)))
  2636 (let ((?x142 (ite $x83 ?x122 ?x108)))
  2637 (let (($x50 (= ?v1 0)))
  2638 (let ((?x147 (ite $x50 ?v0 ?x142)))
  2639 (let ((?x107 (mod$ ?v0 ?v1)))
  2640 (= ?x107 ?x147))))))))))) :pattern ( (mod$ ?v0 ?v1) )))
  2641 ))
  2642 (let (($x153 (forall ((?v0 Int) (?v1 Int) )(let ((?x108 (mod ?v0 ?v1)))
  2643 (let ((?x65 (* (- 1) ?v1)))
  2644 (let ((?x62 (* (- 1) ?v0)))
  2645 (let ((?x116 (mod ?x62 ?x65)))
  2646 (let ((?x122 (* (- 1) ?x116)))
  2647 (let (($x83 (<= ?v1 0)))
  2648 (let ((?x142 (ite $x83 ?x122 ?x108)))
  2649 (let (($x50 (= ?v1 0)))
  2650 (let ((?x147 (ite $x50 ?v0 ?x142)))
  2651 (let ((?x107 (mod$ ?v0 ?v1)))
  2652 (= ?x107 ?x147))))))))))))
  2653 ))
  2654 (let ((?x108 (mod ?1 ?0)))
  2655 (let ((?x65 (* (- 1) ?0)))
  2656 (let ((?x62 (* (- 1) ?1)))
  2657 (let ((?x116 (mod ?x62 ?x65)))
  2658 (let ((?x122 (* (- 1) ?x116)))
  2659 (let (($x83 (<= ?0 0)))
  2660 (let ((?x142 (ite $x83 ?x122 ?x108)))
  2661 (let (($x50 (= ?0 0)))
  2662 (let ((?x147 (ite $x50 ?1 ?x142)))
  2663 (let ((?x107 (mod$ ?1 ?0)))
  2664 (let (($x150 (= ?x107 ?x147)))
  2665 (let (($x114 (forall ((?v0 Int) (?v1 Int) )(let (($x50 (= ?v1 0)))
  2666 (let ((?x112 (ite $x50 ?v0 (ite (< 0 ?v1) (mod ?v0 ?v1) (- (mod (- ?v0) (- ?v1)))))))
  2667 (let ((?x107 (mod$ ?v0 ?v1)))
  2668 (= ?x107 ?x112)))))
  2669 ))
  2670 (let (($x136 (forall ((?v0 Int) (?v1 Int) )(let ((?x65 (* (- 1) ?v1)))
  2671 (let ((?x62 (* (- 1) ?v0)))
  2672 (let ((?x116 (mod ?x62 ?x65)))
  2673 (let ((?x122 (* (- 1) ?x116)))
  2674 (let ((?x108 (mod ?v0 ?v1)))
  2675 (let (($x51 (< 0 ?v1)))
  2676 (let ((?x127 (ite $x51 ?x108 ?x122)))
  2677 (let (($x50 (= ?v1 0)))
  2678 (let ((?x130 (ite $x50 ?v0 ?x127)))
  2679 (let ((?x107 (mod$ ?v0 ?v1)))
  2680 (= ?x107 ?x130))))))))))))
  2681 ))
  2682 (let ((@x141 (monotonicity (rewrite (= (< 0 ?0) (not $x83))) (= (ite (< 0 ?0) ?x108 ?x122) (ite (not $x83) ?x108 ?x122)))))
  2683 (let ((@x146 (trans @x141 (rewrite (= (ite (not $x83) ?x108 ?x122) ?x142)) (= (ite (< 0 ?0) ?x108 ?x122) ?x142))))
  2684 (let ((@x149 (monotonicity @x146 (= (ite $x50 ?1 (ite (< 0 ?0) ?x108 ?x122)) ?x147))))
  2685 (let ((@x152 (monotonicity @x149 (= (= ?x107 (ite $x50 ?1 (ite (< 0 ?0) ?x108 ?x122))) $x150))))
  2686 (let (($x51 (< 0 ?0)))
  2687 (let ((?x127 (ite $x51 ?x108 ?x122)))
  2688 (let ((?x130 (ite $x50 ?1 ?x127)))
  2689 (let (($x133 (= ?x107 ?x130)))
  2690 (let (($x134 (= (= ?x107 (ite $x50 ?1 (ite $x51 ?x108 (- (mod (- ?1) (- ?0)))))) $x133)))
  2691 (let ((@x118 (monotonicity (rewrite (= (- ?1) ?x62)) (rewrite (= (- ?0) ?x65)) (= (mod (- ?1) (- ?0)) ?x116))))
  2692 (let ((@x126 (trans (monotonicity @x118 (= (- (mod (- ?1) (- ?0))) (- ?x116))) (rewrite (= (- ?x116) ?x122)) (= (- (mod (- ?1) (- ?0))) ?x122))))
  2693 (let ((@x129 (monotonicity @x126 (= (ite $x51 ?x108 (- (mod (- ?1) (- ?0)))) ?x127))))
  2694 (let ((@x132 (monotonicity @x129 (= (ite $x50 ?1 (ite $x51 ?x108 (- (mod (- ?1) (- ?0))))) ?x130))))
  2695 (let ((@x157 (trans (quant-intro (monotonicity @x132 $x134) (= $x114 $x136)) (quant-intro @x152 (= $x136 $x153)) (= $x114 $x153))))
  2696 (let ((@x168 (mp~ (mp (asserted $x114) @x157 $x153) (nnf-pos (refl (~ $x150 $x150)) (~ $x153 $x153)) $x153)))
  2697 (let ((@x196 (mp @x168 (quant-intro (refl (= $x150 $x150)) (= $x153 $x191)) $x191)))
  2698 (let (($x260 (not $x191)))
  2699 (let (($x541 (or $x260 $x490)))
  2700 (let ((?x211 (* (- 1) 2)))
  2701 (let ((?x222 (* (- 1) n$)))
  2702 (let ((?x517 (mod ?x222 ?x211)))
  2703 (let ((?x518 (* (- 1) ?x517)))
  2704 (let (($x209 (<= 2 0)))
  2705 (let ((?x520 (ite $x209 ?x518 ?x519)))
  2706 (let (($x208 (= 2 0)))
  2707 (let ((?x521 (ite $x208 n$ ?x520)))
  2708 (let (($x485 (= ?x39 ?x521)))
  2709 (let ((@x593 (monotonicity (monotonicity (rewrite (= ?x211 (- 2))) (= ?x517 (mod ?x222 (- 2)))) (= ?x518 (* (- 1) (mod ?x222 (- 2)))))))
  2710 (let ((@x221 (rewrite (= $x209 false))))
  2711 (let ((@x596 (monotonicity @x221 @x593 (= ?x520 (ite false (* (- 1) (mod ?x222 (- 2))) ?x519)))))
  2712 (let ((@x599 (trans @x596 (rewrite (= (ite false (* (- 1) (mod ?x222 (- 2))) ?x519) ?x519)) (= ?x520 ?x519))))
  2713 (let ((@x219 (rewrite (= $x208 false))))
  2714 (let ((@x487 (trans (monotonicity @x219 @x599 (= ?x521 (ite false n$ ?x519))) (rewrite (= (ite false n$ ?x519) ?x519)) (= ?x521 ?x519))))
  2715 (let ((@x538 (trans (monotonicity @x487 (= $x485 (= ?x39 ?x519))) (rewrite (= (= ?x39 ?x519) $x490)) (= $x485 $x490))))
  2716 (let ((@x406 (trans (monotonicity @x538 (= (or $x260 $x485) $x541)) (rewrite (= $x541 $x541)) (= (or $x260 $x485) $x541))))
  2717 (let ((@x407 (mp ((_ quant-inst n$ 2) (or $x260 $x485)) @x406 $x541)))
  2718 (let ((@x715 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x490) $x408)) (unit-resolution @x407 @x196 $x490) $x408)))
  2719 (let (($x303 (>= ?x519 2)))
  2720 (let (($x304 (not $x303)))
  2721 (let ((@x26 (true-axiom true)))
  2722 (let ((@x722 (unit-resolution ((_ th-lemma arith assign-bounds 1 1) (or $x514 $x303 (not $x408))) (unit-resolution ((_ th-lemma arith) (or false $x304)) @x26 $x304) @x715 $x514)))
  2723 (let (($x41 (= ?x39 1)))
  2724 (let (($x169 (not $x41)))
  2725 (let ((?x42 (mod$ m$ 2)))
  2726 (let (($x43 (= ?x42 1)))
  2727 (let ((?x29 (+ n$ m$)))
  2728 (let ((?x214 (mod ?x29 2)))
  2729 (let ((?x253 (* (- 1) ?x214)))
  2730 (let ((?x31 (mod$ ?x29 2)))
  2731 (let ((?x603 (+ n$ m$ ?x31 ?x35 ?x253 (* (- 1) (div ?x29 2)) ?x363 ?x601 (* (- 1) (div m$ 2)))))
  2732 (let (($x604 (>= ?x603 2)))
  2733 (let (($x523 (>= ?x42 1)))
  2734 (let (($x609 (not $x523)))
  2735 (let (($x522 (<= ?x42 1)))
  2736 (let ((?x439 (mod m$ 2)))
  2737 (let ((?x466 (* (- 1) ?x439)))
  2738 (let ((?x467 (+ ?x42 ?x466)))
  2739 (let (($x482 (<= ?x467 0)))
  2740 (let (($x468 (= ?x467 0)))
  2741 (let (($x473 (or $x260 $x468)))
  2742 (let ((?x440 (ite $x209 (* (- 1) (mod (* (- 1) m$) ?x211)) ?x439)))
  2743 (let ((?x441 (ite $x208 m$ ?x440)))
  2744 (let (($x442 (= ?x42 ?x441)))
  2745 (let ((@x453 (rewrite (= (ite false (* (- 1) (mod (* (- 1) m$) (- 2))) ?x439) ?x439))))
  2746 (let (($x447 (= (* (- 1) (mod (* (- 1) m$) ?x211)) (* (- 1) (mod (* (- 1) m$) (- 2))))))
  2747 (let ((@x229 (rewrite (= ?x211 (- 2)))))
  2748 (let ((@x445 (monotonicity @x229 (= (mod (* (- 1) m$) ?x211) (mod (* (- 1) m$) (- 2))))))
  2749 (let ((@x451 (monotonicity @x221 (monotonicity @x445 $x447) (= ?x440 (ite false (* (- 1) (mod (* (- 1) m$) (- 2))) ?x439)))))
  2750 (let ((@x458 (monotonicity @x219 (trans @x451 @x453 (= ?x440 ?x439)) (= ?x441 (ite false m$ ?x439)))))
  2751 (let ((@x465 (monotonicity (trans @x458 (rewrite (= (ite false m$ ?x439) ?x439)) (= ?x441 ?x439)) (= $x442 (= ?x42 ?x439)))))
  2752 (let ((@x477 (monotonicity (trans @x465 (rewrite (= (= ?x42 ?x439) $x468)) (= $x442 $x468)) (= (or $x260 $x442) $x473))))
  2753 (let ((@x481 (mp ((_ quant-inst m$ 2) (or $x260 $x442)) (trans @x477 (rewrite (= $x473 $x473)) (= (or $x260 $x442) $x473)) $x473)))
  2754 (let ((@x277 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x468) $x482)) (unit-resolution @x481 @x196 $x468) $x482)))
  2755 (let ((@x386 (unit-resolution ((_ th-lemma arith) (or false (not (>= ?x439 2)))) @x26 (not (>= ?x439 2)))))
  2756 (let ((@x384 (unit-resolution ((_ th-lemma arith assign-bounds 1 1) (or $x522 (>= ?x439 2) (not $x482))) @x386 @x277 $x522)))
  2757 (let ((@x564 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x43 (not $x522) $x609)) (hypothesis (not $x43)) (or (not $x522) $x609))))
  2758 (let ((?x272 (div ?x29 2)))
  2759 (let ((?x288 (* (- 2) ?x272)))
  2760 (let ((?x289 (+ n$ m$ ?x253 ?x288)))
  2761 (let (($x294 (<= ?x289 0)))
  2762 (let (($x287 (= ?x289 0)))
  2763 (let ((@x617 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x287) $x294)) (unit-resolution ((_ th-lemma arith) (or false $x287)) @x26 $x287) $x294)))
  2764 (let (($x433 (<= ?x31 0)))
  2765 (let (($x32 (= ?x31 0)))
  2766 (let ((@x33 (asserted $x32)))
  2767 (let ((?x254 (+ ?x31 ?x253)))
  2768 (let (($x270 (<= ?x254 0)))
  2769 (let (($x255 (= ?x254 0)))
  2770 (let (($x261 (or $x260 $x255)))
  2771 (let ((?x215 (ite $x209 (* (- 1) (mod (* (- 1) ?x29) ?x211)) ?x214)))
  2772 (let ((?x216 (ite $x208 ?x29 ?x215)))
  2773 (let (($x217 (= ?x31 ?x216)))
  2774 (let (($x239 (= (ite false (* (- 1) (mod (+ ?x222 (* (- 1) m$)) (- 2))) ?x214) ?x214)))
  2775 (let (($x237 (= ?x215 (ite false (* (- 1) (mod (+ ?x222 (* (- 1) m$)) (- 2))) ?x214))))
  2776 (let (($x234 (= (* (- 1) (mod (* (- 1) ?x29) ?x211)) (* (- 1) (mod (+ ?x222 (* (- 1) m$)) (- 2))))))
  2777 (let ((@x232 (monotonicity (rewrite (= (* (- 1) ?x29) (+ ?x222 (* (- 1) m$)))) @x229 (= (mod (* (- 1) ?x29) ?x211) (mod (+ ?x222 (* (- 1) m$)) (- 2))))))
  2778 (let ((@x242 (trans (monotonicity @x221 (monotonicity @x232 $x234) $x237) (rewrite $x239) (= ?x215 ?x214))))
  2779 (let ((@x249 (trans (monotonicity @x219 @x242 (= ?x216 (ite false ?x29 ?x214))) (rewrite (= (ite false ?x29 ?x214) ?x214)) (= ?x216 ?x214))))
  2780 (let ((@x259 (trans (monotonicity @x249 (= $x217 (= ?x31 ?x214))) (rewrite (= (= ?x31 ?x214) $x255)) (= $x217 $x255))))
  2781 (let ((@x268 (trans (monotonicity @x259 (= (or $x260 $x217) $x261)) (rewrite (= $x261 $x261)) (= (or $x260 $x217) $x261))))
  2782 (let ((@x269 (mp ((_ quant-inst (+ n$ m$) 2) (or $x260 $x217)) @x268 $x261)))
  2783 (let ((@x626 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x255) $x270)) (unit-resolution @x269 @x196 $x255) $x270)))
  2784 (let ((?x498 (+ m$ ?x466 (* (- 2) (div m$ 2)))))
  2785 (let (($x496 (= ?x498 0)))
  2786 (let ((@x633 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x496) (<= ?x498 0))) (unit-resolution ((_ th-lemma arith) (or false $x496)) @x26 $x496) (<= ?x498 0))))
  2787 (let ((?x397 (* (- 4) ?x381)))
  2788 (let ((?x398 (+ n$ ?x363 ?x397)))
  2789 (let (($x403 (<= ?x398 0)))
  2790 (let (($x396 (= ?x398 0)))
  2791 (let ((@x640 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x396) $x403)) (unit-resolution ((_ th-lemma arith) (or false $x396)) @x26 $x396) $x403)))
  2792 (let ((?x364 (+ ?x35 ?x363)))
  2793 (let (($x379 (<= ?x364 0)))
  2794 (let (($x365 (= ?x364 0)))
  2795 (let (($x370 (or $x260 $x365)))
  2796 (let ((?x330 (ite (<= 4 0) (* (- 1) (mod ?x222 (* (- 1) 4))) ?x329)))
  2797 (let ((?x331 (ite (= 4 0) n$ ?x330)))
  2798 (let (($x332 (= ?x35 ?x331)))
  2799 (let ((@x342 (monotonicity (rewrite (= (* (- 1) 4) (- 4))) (= (mod ?x222 (* (- 1) 4)) (mod ?x222 (- 4))))))
  2800 (let ((@x345 (monotonicity @x342 (= (* (- 1) (mod ?x222 (* (- 1) 4))) (* (- 1) (mod ?x222 (- 4)))))))
  2801 (let ((@x348 (monotonicity (rewrite (= (<= 4 0) false)) @x345 (= ?x330 (ite false (* (- 1) (mod ?x222 (- 4))) ?x329)))))
  2802 (let ((@x352 (trans @x348 (rewrite (= (ite false (* (- 1) (mod ?x222 (- 4))) ?x329) ?x329)) (= ?x330 ?x329))))
  2803 (let ((@x355 (monotonicity (rewrite (= (= 4 0) false)) @x352 (= ?x331 (ite false n$ ?x329)))))
  2804 (let ((@x362 (monotonicity (trans @x355 (rewrite (= (ite false n$ ?x329) ?x329)) (= ?x331 ?x329)) (= $x332 (= ?x35 ?x329)))))
  2805 (let ((@x374 (monotonicity (trans @x362 (rewrite (= (= ?x35 ?x329) $x365)) (= $x332 $x365)) (= (or $x260 $x332) $x370))))
  2806 (let ((@x378 (mp ((_ quant-inst n$ 4) (or $x260 $x332)) (trans @x374 (rewrite (= $x370 $x370)) (= (or $x260 $x332) $x370)) $x370)))
  2807 (let ((@x645 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x365) $x379)) (unit-resolution @x378 @x196 $x365) $x379)))
  2808 (let (($x435 (<= ?x35 3)))
  2809 (let (($x37 (= ?x35 3)))
  2810 (let ((@x38 (asserted $x37)))
  2811 (let ((@x655 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x468) (>= ?x467 0))) (unit-resolution @x481 @x196 $x468) (>= ?x467 0))))
  2812 (let ((@x656 ((_ th-lemma arith farkas -1 1 -2 1 1 1 1 1 1 1) @x655 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x37) $x435)) @x38 $x435) (hypothesis $x604) @x645 @x640 @x633 @x626 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x32) $x433)) @x33 $x433) @x617 (hypothesis $x609) false)))
  2813 (let ((@x565 (unit-resolution (lemma @x656 (or (not $x604) $x523)) (unit-resolution @x564 @x384 $x609) (not $x604))))
  2814 (let (($x295 (>= ?x289 0)))
  2815 (let ((@x566 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x287) $x295)) (unit-resolution ((_ th-lemma arith) (or false $x287)) @x26 $x287) $x295)))
  2816 (let (($x434 (>= ?x31 0)))
  2817 (let (($x271 (>= ?x254 0)))
  2818 (let ((@x531 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x255) $x271)) (unit-resolution @x269 @x196 $x255) $x271)))
  2819 (let ((@x537 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x496) (>= ?x498 0))) (unit-resolution ((_ th-lemma arith) (or false $x496)) @x26 $x496) (>= ?x498 0))))
  2820 (let ((@x549 (unit-resolution ((_ th-lemma arith) (or false (>= ?x439 0))) @x26 (>= ?x439 0))))
  2821 (let (($x404 (>= ?x398 0)))
  2822 (let ((@x552 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x396) $x404)) (unit-resolution ((_ th-lemma arith) (or false $x396)) @x26 $x396) $x404)))
  2823 (let (($x380 (>= ?x364 0)))
  2824 (let ((@x273 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x365) $x380)) (unit-resolution @x378 @x196 $x365) $x380)))
  2825 (let (($x436 (>= ?x35 3)))
  2826 (let ((@x545 ((_ th-lemma arith farkas -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 1) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x37) $x436)) @x38 $x436) @x273 @x552 @x549 @x537 @x531 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x32) $x434)) @x33 $x434) @x566 @x565 false)))
  2827 (let (($x171 (or $x169 (not $x43))))
  2828 (let ((@x177 (monotonicity (rewrite (= (and $x41 $x43) (not $x171))) (= (not (and $x41 $x43)) (not (not $x171))))))
  2829 (let ((@x181 (trans @x177 (rewrite (= (not (not $x171)) $x171)) (= (not (and $x41 $x43)) $x171))))
  2830 (let ((@x182 (mp (asserted (not (and $x41 $x43))) @x181 $x171)))
  2831 (let ((@x729 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x41 (not $x514) $x725)) (unit-resolution @x182 (lemma @x545 $x43) $x169) (or (not $x514) $x725))))
  2832 (let ((?x420 (* (- 2) ?x410)))
  2833 (let ((?x421 (+ n$ ?x420 ?x534)))
  2834 (let (($x426 (<= ?x421 0)))
  2835 (let (($x419 (= ?x421 0)))
  2836 (let ((@x737 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x419) $x426)) (unit-resolution ((_ th-lemma arith) (or false $x419)) @x26 $x419) $x426)))
  2837 (let (($x409 (>= ?x535 0)))
  2838 (let ((@x741 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x490) $x409)) (unit-resolution @x407 @x196 $x490) $x409)))
  2839 (let ((@x742 ((_ th-lemma arith farkas -1 1 -2 1 1 1 1) @x741 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x37) $x435)) @x38 $x435) (hypothesis $x706) @x640 @x737 @x645 (unit-resolution @x729 @x722 $x725) false)))
  2840 (let (($x427 (>= ?x421 0)))
  2841 (let ((@x584 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x419) $x427)) (unit-resolution ((_ th-lemma arith) (or false $x419)) @x26 $x419) $x427)))
  2842 (let (($x542 (>= ?x519 0)))
  2843 ((_ th-lemma arith farkas -1/2 -1/2 -1/2 -1/2 -1/2 1) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x37) $x436)) @x38 $x436) @x552 (unit-resolution ((_ th-lemma arith) (or false $x542)) @x26 $x542) @x584 @x273 (lemma @x742 (not $x706)) false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  2844 
  2845 dcc9b986d57d4904aeadc1233210450bb15df4d3 12 0
  2846 unsat
  2847 ((set-logic AUFLIA)
  2848 (proof
  2849 (let (($x28 (exists ((?v0 Int) )false)
  2850 ))
  2851 (let (($x27 (not $x28)))
  2852 (let (($x29 (not $x27)))
  2853 (let ((@x35 (monotonicity (elim-unused (= $x28 false)) (= $x27 (not false)))))
  2854 (let ((@x42 (monotonicity (trans @x35 (rewrite (= (not false) true)) (= $x27 true)) (= $x29 (not true)))))
  2855 (let ((@x46 (trans @x42 (rewrite (= (not true) false)) (= $x29 false))))
  2856 (mp (asserted $x29) @x46 false)))))))))
  2857 
  2858 e33f4ac0207897c2b7abfeafedc87232f999a6d5 12 0
  2859 unsat
  2860 ((set-logic AUFLIRA)
  2861 (proof
  2862 (let (($x27 (exists ((?v0 Real) )false)
  2863 ))
  2864 (let (($x28 (not $x27)))
  2865 (let (($x29 (not $x28)))
  2866 (let ((@x35 (monotonicity (elim-unused (= $x27 false)) (= $x28 (not false)))))
  2867 (let ((@x42 (monotonicity (trans @x35 (rewrite (= (not false) true)) (= $x28 true)) (= $x29 (not true)))))
  2868 (let ((@x46 (trans @x42 (rewrite (= (not true) false)) (= $x29 false))))
  2869 (mp (asserted $x29) @x46 false)))))))))
  2870 
  2871 ef29919c373b650f8005a5573289548ab716b089 22 0
  2872 unsat
  2873 ((set-logic AUFLIA)
  2874 (proof
  2875 (let (($x52 (forall ((?v0 Int) )(<= ?v0 0))
  2876 ))
  2877 (let (($x46 (forall ((?v0 Int) )(let (($x34 (<= ?v0 0)))
  2878 (let (($x35 (not $x34)))
  2879 (not $x35))))
  2880 ))
  2881 (let ((@x54 (quant-intro (rewrite (= (not (not (<= ?0 0))) (<= ?0 0))) (= $x46 $x52))))
  2882 (let (($x38 (exists ((?v0 Int) )(let (($x34 (<= ?v0 0)))
  2883 (not $x34)))
  2884 ))
  2885 (let (($x41 (not $x38)))
  2886 (let ((@x48 (nnf-neg (refl (~ (not (not (<= ?0 0))) (not (not (<= ?0 0))))) (~ $x41 $x46))))
  2887 (let (($x29 (exists ((?v0 Int) )(< 0 ?v0))
  2888 ))
  2889 (let (($x30 (not $x29)))
  2890 (let ((@x40 (quant-intro (rewrite (= (< 0 ?0) (not (<= ?0 0)))) (= $x29 $x38))))
  2891 (let ((@x49 (mp~ (mp (asserted $x30) (monotonicity @x40 (= $x30 $x41)) $x41) @x48 $x46)))
  2892 (mp (mp @x49 @x54 $x52) (rewrite (= $x52 false)) false)))))))))))))
  2893 
  2894 4d3a976164de7ccb5d4650a113f067b8a1c55b22 22 0
  2895 unsat
  2896 ((set-logic AUFLIRA)
  2897 (proof
  2898 (let (($x51 (forall ((?v0 Real) )(<= ?v0 0.0))
  2899 ))
  2900 (let (($x45 (forall ((?v0 Real) )(let (($x33 (<= ?v0 0.0)))
  2901 (let (($x34 (not $x33)))
  2902 (not $x34))))
  2903 ))
  2904 (let ((@x53 (quant-intro (rewrite (= (not (not (<= ?0 0.0))) (<= ?0 0.0))) (= $x45 $x51))))
  2905 (let (($x37 (exists ((?v0 Real) )(let (($x33 (<= ?v0 0.0)))
  2906 (not $x33)))
  2907 ))
  2908 (let (($x40 (not $x37)))
  2909 (let ((@x47 (nnf-neg (refl (~ (not (not (<= ?0 0.0))) (not (not (<= ?0 0.0))))) (~ $x40 $x45))))
  2910 (let (($x28 (exists ((?v0 Real) )(< 0.0 ?v0))
  2911 ))
  2912 (let (($x29 (not $x28)))
  2913 (let ((@x39 (quant-intro (rewrite (= (< 0.0 ?0) (not (<= ?0 0.0)))) (= $x28 $x37))))
  2914 (let ((@x48 (mp~ (mp (asserted $x29) (monotonicity @x39 (= $x29 $x40)) $x40) @x47 $x45)))
  2915 (mp (mp @x48 @x53 $x51) (rewrite (= $x51 false)) false)))))))))))))
  2916 
  2917 f28123a872d014e01ec45f8bb7163bb037909301 31 0
  2918 unsat
  2919 ((set-logic AUFLIA)
  2920 (declare-fun ?v0!0 () Int)
  2921 (proof
  2922 (let (($x71 (forall ((?v1 Int) )(<= (+ ?v1 (* (- 1) ?v0!0)) 0))
  2923 ))
  2924 (let (($x63 (forall ((?v1 Int) )(not (not (<= (+ ?v1 (* (- 1) ?v0!0)) 0))))
  2925 ))
  2926 (let (($x54 (<= (+ ?0 (* (- 1) ?v0!0)) 0)))
  2927 (let (($x60 (not (not $x54))))
  2928 (let (($x46 (forall ((?v0 Int) )(exists ((?v1 Int) )(not (<= (+ ?v1 (* (- 1) ?v0)) 0)))
  2929 )
  2930 ))
  2931 (let (($x49 (not $x46)))
  2932 (let (($x56 (exists ((?v1 Int) )(let (($x54 (<= (+ ?v1 (* (- 1) ?v0!0)) 0)))
  2933 (not $x54)))
  2934 ))
  2935 (let ((@x67 (trans (sk (~ $x49 (not $x56))) (nnf-neg (refl (~ $x60 $x60)) (~ (not $x56) $x63)) (~ $x49 $x63))))
  2936 (let (($x31 (forall ((?v0 Int) )(exists ((?v1 Int) )(< ?v0 ?v1))
  2937 )
  2938 ))
  2939 (let (($x32 (not $x31)))
  2940 (let (($x43 (exists ((?v1 Int) )(not (<= (+ ?v1 (* (- 1) ?0)) 0)))
  2941 ))
  2942 (let (($x30 (exists ((?v1 Int) )(< ?0 ?v1))
  2943 ))
  2944 (let ((@x42 (rewrite (= (< ?1 ?0) (not (<= (+ ?0 (* (- 1) ?1)) 0))))))
  2945 (let ((@x51 (monotonicity (quant-intro (quant-intro @x42 (= $x30 $x43)) (= $x31 $x46)) (= $x32 $x49))))
  2946 (let ((@x74 (mp (mp~ (mp (asserted $x32) @x51 $x49) @x67 $x63) (quant-intro (rewrite (= $x60 $x54)) (= $x63 $x71)) $x71)))
  2947 (mp @x74 (rewrite (= $x71 false)) false))))))))))))))))))
  2948 
  2949 574f579e644304e47945be9d8bd47347079730d4 22 0
  2950 unsat
  2951 ((set-logic AUFLIA)
  2952 (declare-fun ?v1!0 () Int)
  2953 (declare-fun ?v0!1 () Int)
  2954 (proof
  2955 (let (($x53 (= ?v1!0 1)))
  2956 (let (($x59 (not (or (not (and (= ?v0!1 0) $x53)) (not (= ?v0!1 ?v1!0))))))
  2957 (let (($x43 (forall ((?v0 Int) (?v1 Int) )(or (not (and (= ?v0 0) (= ?v1 1))) (not (= ?v0 ?v1))))
  2958 ))
  2959 (let (($x46 (not $x43)))
  2960 (let (($x36 (forall ((?v0 Int) (?v1 Int) )(=> (and (= ?v0 0) (= ?v1 1)) (not (= ?v0 ?v1))))
  2961 ))
  2962 (let (($x37 (not $x36)))
  2963 (let (($x41 (= (=> (and (= ?1 0) (= ?0 1)) (not (= ?1 ?0))) (or (not (and (= ?1 0) (= ?0 1))) (not (= ?1 ?0))))))
  2964 (let ((@x48 (monotonicity (quant-intro (rewrite $x41) (= $x36 $x43)) (= $x37 $x46))))
  2965 (let ((@x65 (not-or-elim (mp~ (mp (asserted $x37) @x48 $x46) (sk (~ $x46 $x59)) $x59) (and (= ?v0!1 0) $x53))))
  2966 (let ((@x67 (and-elim @x65 $x53)))
  2967 (let (($x56 (= ?v0!1 ?v1!0)))
  2968 (let ((@x68 (not-or-elim (mp~ (mp (asserted $x37) @x48 $x46) (sk (~ $x46 $x59)) $x59) $x56)))
  2969 (let ((@x70 (trans (symm (and-elim @x65 (= ?v0!1 0)) (= 0 ?v0!1)) @x68 (= 0 ?v1!0))))
  2970 (mp (trans @x70 @x67 (= 0 1)) (rewrite (= (= 0 1) false)) false))))))))))))))))
  2971 
  2972 a24ff2e4a93d06b88e1d7717852cb82258ed11ed 55 0
  2973 unsat
  2974 ((set-logic AUFLIA)
  2975 (proof
  2976 (let (($x35 (exists ((?v0 Int) )(forall ((?v1 Int) )(let (($x31 (<= 0 ?v1)))
  2977 (let (($x30 (< ?v1 0)))
  2978 (let (($x32 (or $x30 $x31)))
  2979 (let (($x29 (< ?v0 ?v1)))
  2980 (=> $x29 $x32))))))
  2981 )
  2982 ))
  2983 (let (($x36 (not $x35)))
  2984 (let (($x45 (exists ((?v0 Int) )(forall ((?v1 Int) )(let (($x31 (<= 0 ?v1)))
  2985 (let (($x30 (< ?v1 0)))
  2986 (let (($x32 (or $x30 $x31)))
  2987 (let (($x29 (< ?v0 ?v1)))
  2988 (let (($x38 (not $x29)))
  2989 (or $x38 $x32)))))))
  2990 )
  2991 ))
  2992 (let (($x48 (not $x45)))
  2993 (let (($x88 (exists ((?v0 Int) )true)
  2994 ))
  2995 (let (($x42 (forall ((?v1 Int) )(let (($x31 (<= 0 ?v1)))
  2996 (let (($x30 (< ?v1 0)))
  2997 (let (($x32 (or $x30 $x31)))
  2998 (let (($x29 (< ?0 ?v1)))
  2999 (let (($x38 (not $x29)))
  3000 (or $x38 $x32)))))))
  3001 ))
  3002 (let (($x81 (forall ((?v1 Int) )true)
  3003 ))
  3004 (let (($x31 (<= 0 ?0)))
  3005 (let (($x30 (< ?0 0)))
  3006 (let (($x32 (or $x30 $x31)))
  3007 (let (($x29 (< ?1 ?0)))
  3008 (let (($x38 (not $x29)))
  3009 (let (($x39 (or $x38 $x32)))
  3010 (let (($x60 (<= (+ ?0 (* (- 1) ?1)) 0)))
  3011 (let ((@x78 (rewrite (= (or $x60 (or (not (>= ?0 0)) (>= ?0 0))) true))))
  3012 (let ((@x73 (monotonicity (rewrite (= $x30 (not (>= ?0 0)))) (rewrite (= $x31 (>= ?0 0))) (= $x32 (or (not (>= ?0 0)) (>= ?0 0))))))
  3013 (let ((@x66 (monotonicity (rewrite (= $x29 (not $x60))) (= $x38 (not (not $x60))))))
  3014 (let ((@x76 (monotonicity (trans @x66 (rewrite (= (not (not $x60)) $x60)) (= $x38 $x60)) @x73 (= $x39 (or $x60 (or (not (>= ?0 0)) (>= ?0 0)))))))
  3015 (let ((@x87 (trans (quant-intro (trans @x76 @x78 (= $x39 true)) (= $x42 $x81)) (elim-unused (= $x81 true)) (= $x42 true))))
  3016 (let ((@x94 (trans (quant-intro @x87 (= $x45 $x88)) (elim-unused (= $x88 true)) (= $x45 true))))
  3017 (let ((@x101 (trans (monotonicity @x94 (= $x48 (not true))) (rewrite (= (not true) false)) (= $x48 false))))
  3018 (let (($x34 (forall ((?v1 Int) )(let (($x31 (<= 0 ?v1)))
  3019 (let (($x30 (< ?v1 0)))
  3020 (let (($x32 (or $x30 $x31)))
  3021 (let (($x29 (< ?0 ?v1)))
  3022 (=> $x29 $x32))))))
  3023 ))
  3024 (let ((@x47 (quant-intro (quant-intro (rewrite (= (=> $x29 $x32) $x39)) (= $x34 $x42)) (= $x35 $x45))))
  3025 (let ((@x50 (monotonicity @x47 (= $x36 $x48))))
  3026 (mp (asserted $x36) (trans @x50 @x101 (= $x36 false)) false)))))))))))))))))))))))))))
  3027 
  3028 c446c8659459cda8dda1ecfd9aba54ce2a50f002 42 0
  3029 unsat
  3030 ((set-logic AUFLIA)
  3031 (proof
  3032 (let (($x37 (forall ((?v0 Int) (?v1 Int) )(let ((?x34 (* 2 ?v1)))
  3033 (let ((?x31 (* 2 ?v0)))
  3034 (let ((?x33 (+ ?x31 1)))
  3035 (let (($x35 (< ?x33 ?x34)))
  3036 (let (($x29 (< ?v0 ?v1)))
  3037 (=> $x29 $x35)))))))
  3038 ))
  3039 (let (($x38 (not $x37)))
  3040 (let (($x55 (forall ((?v0 Int) (?v1 Int) )(let ((?x34 (* 2 ?v1)))
  3041 (let ((?x31 (* 2 ?v0)))
  3042 (let ((?x40 (+ 1 ?x31)))
  3043 (let (($x43 (< ?x40 ?x34)))
  3044 (let (($x29 (< ?v0 ?v1)))
  3045 (let (($x49 (not $x29)))
  3046 (or $x49 $x43))))))))
  3047 ))
  3048 (let (($x58 (not $x55)))
  3049 (let (($x84 (forall ((?v0 Int) (?v1 Int) )true)
  3050 ))
  3051 (let ((?x34 (* 2 ?0)))
  3052 (let ((?x31 (* 2 ?1)))
  3053 (let ((?x40 (+ 1 ?x31)))
  3054 (let (($x43 (< ?x40 ?x34)))
  3055 (let (($x29 (< ?1 ?0)))
  3056 (let (($x49 (not $x29)))
  3057 (let (($x50 (or $x49 $x43)))
  3058 (let (($x63 (>= (+ ?1 (* (- 1) ?0)) 0)))
  3059 (let (($x62 (not $x63)))
  3060 (let ((@x74 (trans (monotonicity (rewrite (= $x29 $x62)) (= $x49 (not $x62))) (rewrite (= (not $x62) $x63)) (= $x49 $x63))))
  3061 (let ((@x79 (monotonicity @x74 (rewrite (= $x43 $x62)) (= $x50 (or $x63 $x62)))))
  3062 (let ((@x86 (quant-intro (trans @x79 (rewrite (= (or $x63 $x62) true)) (= $x50 true)) (= $x55 $x84))))
  3063 (let ((@x93 (monotonicity (trans @x86 (elim-unused (= $x84 true)) (= $x55 true)) (= $x58 (not true)))))
  3064 (let ((@x97 (trans @x93 (rewrite (= (not true) false)) (= $x58 false))))
  3065 (let ((@x45 (monotonicity (rewrite (= (+ ?x31 1) ?x40)) (= (< (+ ?x31 1) ?x34) $x43))))
  3066 (let ((@x48 (monotonicity @x45 (= (=> $x29 (< (+ ?x31 1) ?x34)) (=> $x29 $x43)))))
  3067 (let ((@x54 (trans @x48 (rewrite (= (=> $x29 $x43) $x50)) (= (=> $x29 (< (+ ?x31 1) ?x34)) $x50))))
  3068 (let ((@x60 (monotonicity (quant-intro @x54 (= $x37 $x55)) (= $x38 $x58))))
  3069 (mp (asserted $x38) (trans @x60 @x97 (= $x38 false)) false))))))))))))))))))))))))))
  3070 
  3071 a6ee8724a53192e0bb5b41bbeed60d66d29cdc32 32 0
  3072 unsat
  3073 ((set-logic AUFLIA)
  3074 (proof
  3075 (let (($x36 (forall ((?v0 Int) (?v1 Int) )(let ((?x33 (* 2 ?v1)))
  3076 (let ((?x30 (* 2 ?v0)))
  3077 (let ((?x32 (+ ?x30 1)))
  3078 (let (($x34 (= ?x32 ?x33)))
  3079 (not $x34))))))
  3080 ))
  3081 (let (($x37 (not $x36)))
  3082 (let (($x48 (forall ((?v0 Int) (?v1 Int) )(let ((?x33 (* 2 ?v1)))
  3083 (let ((?x30 (* 2 ?v0)))
  3084 (let ((?x39 (+ 1 ?x30)))
  3085 (let (($x42 (= ?x39 ?x33)))
  3086 (not $x42))))))
  3087 ))
  3088 (let (($x51 (not $x48)))
  3089 (let (($x63 (forall ((?v0 Int) (?v1 Int) )true)
  3090 ))
  3091 (let ((?x33 (* 2 ?0)))
  3092 (let ((?x30 (* 2 ?1)))
  3093 (let ((?x39 (+ 1 ?x30)))
  3094 (let (($x42 (= ?x39 ?x33)))
  3095 (let (($x45 (not $x42)))
  3096 (let ((@x62 (trans (monotonicity (rewrite (= $x42 false)) (= $x45 (not false))) (rewrite (= (not false) true)) (= $x45 true))))
  3097 (let ((@x69 (trans (quant-intro @x62 (= $x48 $x63)) (elim-unused (= $x63 true)) (= $x48 true))))
  3098 (let ((@x76 (trans (monotonicity @x69 (= $x51 (not true))) (rewrite (= (not true) false)) (= $x51 false))))
  3099 (let ((@x44 (monotonicity (rewrite (= (+ ?x30 1) ?x39)) (= (= (+ ?x30 1) ?x33) $x42))))
  3100 (let ((@x50 (quant-intro (monotonicity @x44 (= (not (= (+ ?x30 1) ?x33)) $x45)) (= $x36 $x48))))
  3101 (let ((@x53 (monotonicity @x50 (= $x37 $x51))))
  3102 (mp (asserted $x37) (trans @x53 @x76 (= $x37 false)) false)))))))))))))))))))
  3103 
  3104 07f4cd3fa64b76806d385c4af8945a76e01f07d9 43 0
  3105 unsat
  3106 ((set-logic AUFLIA)
  3107 (declare-fun ?v0!1 () Int)
  3108 (declare-fun ?v1!0 () Int)
  3109 (proof
  3110 (let ((?x78 (+ ?v1!0 ?v0!1)))
  3111 (let (($x90 (>= ?x78 2)))
  3112 (let (($x93 (not $x90)))
  3113 (let (($x87 (= ?x78 2)))
  3114 (let (($x81 (<= ?x78 2)))
  3115 (let (($x84 (not $x81)))
  3116 (let (($x73 (or (not (<= (+ ?v0!1 ?v1!0) 2)) (= (+ ?v0!1 ?v1!0) 2) (not (>= (+ ?v0!1 ?v1!0) 2)))))
  3117 (let (($x74 (not $x73)))
  3118 (let ((@x80 (rewrite (= (+ ?v0!1 ?v1!0) ?x78))))
  3119 (let ((@x95 (monotonicity (monotonicity @x80 (= (>= (+ ?v0!1 ?v1!0) 2) $x90)) (= (not (>= (+ ?v0!1 ?v1!0) 2)) $x93))))
  3120 (let ((@x86 (monotonicity (monotonicity @x80 (= (<= (+ ?v0!1 ?v1!0) 2) $x81)) (= (not (<= (+ ?v0!1 ?v1!0) 2)) $x84))))
  3121 (let ((@x98 (monotonicity @x86 (monotonicity @x80 (= (= (+ ?v0!1 ?v1!0) 2) $x87)) @x95 (= $x73 (or $x84 $x87 $x93)))))
  3122 (let (($x60 (forall ((?v0 Int) (?v1 Int) )(let (($x41 (not (>= (+ ?v0 ?v1) 2))))
  3123 (let ((?x30 (+ ?v0 ?v1)))
  3124 (let (($x32 (= ?x30 2)))
  3125 (let (($x46 (not (<= ?x30 2))))
  3126 (or $x46 $x32 $x41))))))
  3127 ))
  3128 (let (($x63 (not $x60)))
  3129 (let (($x36 (forall ((?v0 Int) (?v1 Int) )(or (< 2 (+ ?v0 ?v1)) (or (= (+ ?v0 ?v1) 2) (< (+ ?v0 ?v1) 2))))
  3130 ))
  3131 (let (($x37 (not $x36)))
  3132 (let (($x41 (not (>= (+ ?1 ?0) 2))))
  3133 (let ((?x30 (+ ?1 ?0)))
  3134 (let (($x32 (= ?x30 2)))
  3135 (let (($x46 (not (<= ?x30 2))))
  3136 (let (($x55 (or $x46 $x32 $x41)))
  3137 (let (($x35 (or (< 2 ?x30) (or $x32 (< ?x30 2)))))
  3138 (let ((@x51 (monotonicity (rewrite (= (< ?x30 2) $x41)) (= (or $x32 (< ?x30 2)) (or $x32 $x41)))))
  3139 (let ((@x54 (monotonicity (rewrite (= (< 2 ?x30) $x46)) @x51 (= $x35 (or $x46 (or $x32 $x41))))))
  3140 (let ((@x59 (trans @x54 (rewrite (= (or $x46 (or $x32 $x41)) $x55)) (= $x35 $x55))))
  3141 (let ((@x66 (mp (asserted $x37) (monotonicity (quant-intro @x59 (= $x36 $x60)) (= $x37 $x63)) $x63)))
  3142 (let ((@x102 (mp (mp~ @x66 (sk (~ $x63 $x74)) $x74) (monotonicity @x98 (= $x74 (not (or $x84 $x87 $x93)))) (not (or $x84 $x87 $x93)))))
  3143 (let ((@x105 (not-or-elim @x102 (not $x87))))
  3144 (let ((@x106 (not-or-elim @x102 $x90)))
  3145 (let ((@x103 (not-or-elim @x102 $x81)))
  3146 (unit-resolution (unit-resolution ((_ th-lemma arith triangle-eq) (or $x87 $x84 $x93)) @x103 (or $x87 $x93)) @x106 @x105 false)))))))))))))))))))))))))))))))))
  3147 
  3148 7f22e563ec1d8ce90ee01f0d4b366d5b595fcdef 46 0
  3149 unsat
  3150 ((set-logic AUFLIA)
  3151 (declare-fun ?v0!0 () Int)
  3152 (proof
  3153 (let (($x83 (<= ?v0!0 0)))
  3154 (let (($x86 (<= ?v0!0 (- 1))))
  3155 (let (($x87 (not $x86)))
  3156 (let ((@x105 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x87 $x83)) (hypothesis (not $x83)) $x87)))
  3157 (let (($x84 (>= ?v0!0 1)))
  3158 (let (($x85 (not $x84)))
  3159 (let (($x88 (ite $x83 $x85 $x87)))
  3160 (let (($x89 (not $x88)))
  3161 (let (($x73 (forall ((?v0 Int) )(let (($x58 (not (<= ?v0 (- 1)))))
  3162 (let (($x61 (not (>= ?v0 1))))
  3163 (ite (<= ?v0 0) $x61 $x58))))
  3164 ))
  3165 (let (($x76 (not $x73)))
  3166 (let (($x34 (forall ((?v0 Int) )(let (($x32 (< ?v0 1)))
  3167 (let (($x28 (< 0 ?v0)))
  3168 (ite $x28 (< 0 (+ ?v0 1)) $x32))))
  3169 ))
  3170 (let (($x35 (not $x34)))
  3171 (let (($x46 (forall ((?v0 Int) )(let (($x32 (< ?v0 1)))
  3172 (let (($x40 (< 0 (+ 1 ?v0))))
  3173 (let (($x28 (< 0 ?v0)))
  3174 (ite $x28 $x40 $x32)))))
  3175 ))
  3176 (let (($x58 (not (<= ?0 (- 1)))))
  3177 (let (($x61 (not (>= ?0 1))))
  3178 (let (($x68 (ite (<= ?0 0) $x61 $x58)))
  3179 (let (($x32 (< ?0 1)))
  3180 (let (($x40 (< 0 (+ 1 ?0))))
  3181 (let (($x28 (< 0 ?0)))
  3182 (let (($x43 (ite $x28 $x40 $x32)))
  3183 (let ((@x67 (monotonicity (rewrite (= $x28 (not (<= ?0 0)))) (rewrite (= $x40 $x58)) (rewrite (= $x32 $x61)) (= $x43 (ite (not (<= ?0 0)) $x58 $x61)))))
  3184 (let ((@x72 (trans @x67 (rewrite (= (ite (not (<= ?0 0)) $x58 $x61) $x68)) (= $x43 $x68))))
  3185 (let ((@x78 (monotonicity (quant-intro @x72 (= $x46 $x73)) (= (not $x46) $x76))))
  3186 (let ((@x42 (monotonicity (rewrite (= (+ ?0 1) (+ 1 ?0))) (= (< 0 (+ ?0 1)) $x40))))
  3187 (let ((@x45 (monotonicity @x42 (= (ite $x28 (< 0 (+ ?0 1)) $x32) $x43))))
  3188 (let ((@x51 (monotonicity (quant-intro @x45 (= $x34 $x46)) (= $x35 (not $x46)))))
  3189 (let ((@x92 (mp~ (mp (asserted $x35) (trans @x51 @x78 (= $x35 $x76)) $x76) (sk (~ $x76 $x89)) $x89)))
  3190 (let ((@x108 (unit-resolution (unit-resolution (def-axiom (or $x88 $x83 $x86)) @x92 (or $x83 $x86)) @x105 (hypothesis (not $x83)) false)))
  3191 (let ((@x109 (lemma @x108 $x83)))
  3192 (let ((@x114 (unit-resolution (def-axiom (or $x88 (not $x83) $x84)) @x92 (or (not $x83) $x84))))
  3193 (unit-resolution @x114 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x85 (not $x83))) @x109 $x85) @x109 false)))))))))))))))))))))))))))))))))
  3194 
  3195 e566ad249d308c74a627c15c9f02c271a6843a42 31 0
  3196 unsat
  3197 ((set-logic AUFLIA)
  3198 (proof
  3199 (let (($x56 (forall ((?v0 Int) )(let (($x50 (not (<= ?v0 0))))
  3200 (let (($x45 (not (>= ?v0 0))))
  3201 (or $x45 $x50))))
  3202 ))
  3203 (let (($x458 (not $x56)))
  3204 (let (($x153 (<= 0 0)))
  3205 (let (($x68 (not $x153)))
  3206 (let (($x158 (>= 0 0)))
  3207 (let (($x143 (not $x158)))
  3208 (let (($x154 (or $x143 $x68)))
  3209 (let (($x119 (or $x458 $x154)))
  3210 (let ((@x482 (trans (monotonicity (rewrite (= $x153 true)) (= $x68 (not true))) (rewrite (= (not true) false)) (= $x68 false))))
  3211 (let ((@x261 (trans (monotonicity (rewrite (= $x158 true)) (= $x143 (not true))) (rewrite (= (not true) false)) (= $x143 false))))
  3212 (let ((@x116 (trans (monotonicity @x261 @x482 (= $x154 (or false false))) (rewrite (= (or false false) false)) (= $x154 false))))
  3213 (let ((@x463 (trans (monotonicity @x116 (= $x119 (or $x458 false))) (rewrite (= (or $x458 false) $x458)) (= $x119 $x458))))
  3214 (let ((@x464 (mp ((_ quant-inst 0) $x119) @x463 $x458)))
  3215 (let (($x50 (not (<= ?0 0))))
  3216 (let (($x45 (not (>= ?0 0))))
  3217 (let (($x53 (or $x45 $x50)))
  3218 (let (($x31 (forall ((?v0 Int) )(or (< ?v0 0) (< 0 ?v0)))
  3219 ))
  3220 (let (($x33 (not (ite $x31 false true))))
  3221 (let ((@x55 (monotonicity (rewrite (= (< ?0 0) $x45)) (rewrite (= (< 0 ?0) $x50)) (= (or (< ?0 0) (< 0 ?0)) $x53))))
  3222 (let ((@x40 (monotonicity (rewrite (= (ite $x31 false true) (not $x31))) (= $x33 (not (not $x31))))))
  3223 (let ((@x60 (trans (trans @x40 (rewrite (= (not (not $x31)) $x31)) (= $x33 $x31)) (quant-intro @x55 (= $x31 $x56)) (= $x33 $x56))))
  3224 (let ((@x66 (mp~ (mp (asserted $x33) @x60 $x56) (nnf-pos (refl (~ $x53 $x53)) (~ $x56 $x56)) $x56)))
  3225 (unit-resolution @x66 @x464 false)))))))))))))))))))))))))
  3226 
  3227 a8cb4a130675f119ab8ba11cbe3a15041f18d2c6 62 0
  3228 unsat
  3229 ((set-logic AUFLIA)
  3230 (declare-fun ?v0!1 () Int)
  3231 (declare-fun z3name!0 () Bool)
  3232 (proof
  3233 (let ((?x96 (ite z3name!0 (- 1) 3)))
  3234 (let (($x99 (<= ?x96 0)))
  3235 (let (($x62 (forall ((?v0 Int) )(let (($x56 (not (<= ?v0 0))))
  3236 (let (($x51 (not (>= ?v0 0))))
  3237 (or $x51 $x56))))
  3238 ))
  3239 (let ((?x65 (ite $x62 (- 1) 3)))
  3240 (let (($x71 (<= ?x65 0)))
  3241 (let ((@x93 (intro-def (and (or (not z3name!0) $x62) (or z3name!0 (not $x62))))))
  3242 (let ((@x101 (monotonicity (monotonicity (apply-def @x93 (~ $x62 z3name!0)) (= ?x65 ?x96)) (= $x71 $x99))))
  3243 (let (($x31 (forall ((?v0 Int) )(or (< ?v0 0) (< 0 ?v0)))
  3244 ))
  3245 (let (($x37 (not (< 0 (ite $x31 (- 1) 3)))))
  3246 (let (($x56 (not (<= ?0 0))))
  3247 (let (($x51 (not (>= ?0 0))))
  3248 (let (($x59 (or $x51 $x56)))
  3249 (let ((@x61 (monotonicity (rewrite (= (< ?0 0) $x51)) (rewrite (= (< 0 ?0) $x56)) (= (or (< ?0 0) (< 0 ?0)) $x59))))
  3250 (let ((@x67 (monotonicity (quant-intro @x61 (= $x31 $x62)) (= (ite $x31 (- 1) 3) ?x65))))
  3251 (let ((@x70 (monotonicity @x67 (= (< 0 (ite $x31 (- 1) 3)) (< 0 ?x65)))))
  3252 (let ((@x76 (trans @x70 (rewrite (= (< 0 ?x65) (not $x71))) (= (< 0 (ite $x31 (- 1) 3)) (not $x71)))))
  3253 (let ((@x79 (monotonicity @x76 (= (not (< 0 (ite $x31 (- 1) 3))) (not (not $x71))))))
  3254 (let ((@x83 (trans @x79 (rewrite (= (not (not $x71)) $x71)) (= (not (< 0 (ite $x31 (- 1) 3))) $x71))))
  3255 (let ((?x42 (ite $x31 (- 1) 3)))
  3256 (let (($x45 (< 0 ?x42)))
  3257 (let ((@x44 (monotonicity (rewrite (= (- 1) (- 1))) (= (ite $x31 (- 1) 3) ?x42))))
  3258 (let ((@x50 (monotonicity (monotonicity @x44 (= (< 0 (ite $x31 (- 1) 3)) $x45)) (= $x37 (not $x45)))))
  3259 (let ((@x128 (mp (mp (asserted $x37) (trans @x50 @x83 (= $x37 $x71)) $x71) @x101 $x99)))
  3260 (let ((@x245 (unit-resolution ((_ th-lemma arith farkas 1 1) (or (not (>= ?x96 3)) (not $x99))) @x128 (not (>= ?x96 3)))))
  3261 (let (($x220 (= ?x96 3)))
  3262 (let (($x88 (not z3name!0)))
  3263 (let (($x90 (not $x62)))
  3264 (let (($x323 (<= 0 0)))
  3265 (let (($x533 (not $x323)))
  3266 (let (($x542 (>= 0 0)))
  3267 (let (($x179 (not $x542)))
  3268 (let (($x206 (or $x179 $x533)))
  3269 (let (($x529 (or $x90 $x206)))
  3270 (let ((@x522 (trans (monotonicity (rewrite (= $x323 true)) (= $x533 (not true))) (rewrite (= (not true) false)) (= $x533 false))))
  3271 (let ((@x200 (trans (monotonicity (rewrite (= $x542 true)) (= $x179 (not true))) (rewrite (= (not true) false)) (= $x179 false))))
  3272 (let ((@x528 (trans (monotonicity @x200 @x522 (= $x206 (or false false))) (rewrite (= (or false false) false)) (= $x206 false))))
  3273 (let ((@x237 (trans (monotonicity @x528 (= $x529 (or $x90 false))) (rewrite (= (or $x90 false) $x90)) (= $x529 $x90))))
  3274 (let ((@x238 (mp ((_ quant-inst 0) $x529) @x237 $x90)))
  3275 (let (($x89 (or $x88 $x62)))
  3276 (let (($x115 (<= ?v0!1 0)))
  3277 (let (($x116 (not $x115)))
  3278 (let (($x113 (>= ?v0!1 0)))
  3279 (let (($x114 (not $x113)))
  3280 (let (($x117 (or $x114 $x116)))
  3281 (let (($x118 (not $x117)))
  3282 (let (($x121 (or z3name!0 $x118)))
  3283 (let ((@x123 (monotonicity (refl (~ z3name!0 z3name!0)) (sk (~ $x90 $x118)) (~ (or z3name!0 $x90) $x121))))
  3284 (let ((@x109 (monotonicity (refl (~ $x88 $x88)) (nnf-pos (refl (~ $x59 $x59)) (~ $x62 $x62)) (~ $x89 $x89))))
  3285 (let ((@x126 (monotonicity @x109 @x123 (~ (and $x89 (or z3name!0 $x90)) (and $x89 $x121)))))
  3286 (let ((@x131 (and-elim (mp~ @x93 @x126 (and $x89 $x121)) $x89)))
  3287 (let ((@x515 (unit-resolution (def-axiom (or z3name!0 $x220)) (unit-resolution @x131 @x238 $x88) $x220)))
  3288 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x220) (>= ?x96 3))) @x515 @x245 false))))))))))))))))))))))))))))))))))))))))))))))))))))))
  3289 
  3290 9e0e67e5bd5078ab683d440f1a73c518a403be1b 39 0
  3291 unsat
  3292 ((set-logic AUFLIA)
  3293 (proof
  3294 (let (($x38 (exists ((?v0 Int) (?v1 Int) (?v2 Int) )(let ((?x33 (- 6)))
  3295 (let ((?x34 (* ?x33 ?v1)))
  3296 (let ((?x31 (* 4 ?v0)))
  3297 (let ((?x35 (+ ?x31 ?x34)))
  3298 (= ?x35 1))))))
  3299 ))
  3300 (let (($x29 (not $x38)))
  3301 (let (($x39 (not $x29)))
  3302 (let (($x61 (exists ((?v0 Int) (?v1 Int) )(let ((?x58 (* (- 6) ?v1)))
  3303 (let ((?x57 (* 4 ?v0)))
  3304 (let ((?x59 (+ ?x57 ?x58)))
  3305 (= ?x59 1)))))
  3306 ))
  3307 (let (($x77 (exists ((?v0 Int) (?v1 Int) )false)
  3308 ))
  3309 (let ((@x81 (quant-intro (rewrite (= (= (+ (* 4 ?1) (* (- 6) ?0)) 1) false)) (= $x61 $x77))))
  3310 (let ((@x85 (trans @x81 (elim-unused (= $x77 false)) (= $x61 false))))
  3311 (let (($x53 (exists ((?v0 Int) (?v1 Int) (?v2 Int) )(let ((?x44 (* (- 6) ?v1)))
  3312 (let ((?x31 (* 4 ?v0)))
  3313 (let ((?x47 (+ ?x31 ?x44)))
  3314 (= ?x47 1)))))
  3315 ))
  3316 (let ((?x44 (* (- 6) ?1)))
  3317 (let ((?x31 (* 4 ?2)))
  3318 (let ((?x47 (+ ?x31 ?x44)))
  3319 (let (($x50 (= ?x47 1)))
  3320 (let ((?x33 (- 6)))
  3321 (let ((?x34 (* ?x33 ?1)))
  3322 (let ((?x35 (+ ?x31 ?x34)))
  3323 (let (($x37 (= ?x35 1)))
  3324 (let ((@x49 (monotonicity (monotonicity (rewrite (= ?x33 (- 6))) (= ?x34 ?x44)) (= ?x35 ?x47))))
  3325 (let ((@x65 (trans (quant-intro (monotonicity @x49 (= $x37 $x50)) (= $x38 $x53)) (elim-unused (= $x53 $x61)) (= $x38 $x61))))
  3326 (let ((@x71 (monotonicity (monotonicity @x65 (= $x29 (not $x61))) (= $x39 (not (not $x61))))))
  3327 (let ((@x75 (trans @x71 (rewrite (= (not (not $x61)) $x61)) (= $x39 $x61))))
  3328 (mp (asserted $x39) (trans @x75 @x85 (= $x39 false)) false)))))))))))))))))))))))
  3329 
  3330 7f619f54c20728881b08a920d22e08bbe3d76a4d 52 0
  3331 unsat
  3332 ((set-logic AUFLIA)
  3333 (declare-fun ?v1!1 () Int)
  3334 (declare-fun ?v2!0 () Int)
  3335 (proof
  3336 (let ((?x105 (+ ?v2!0 ?v1!1)))
  3337 (let (($x106 (<= ?x105 0)))
  3338 (let (($x108 (or (not (and (not (<= ?v1!1 0)) (not (<= ?v2!0 0)))) (not $x106))))
  3339 (let (($x88 (forall ((?v1 Int) (?v2 Int) )(or (not (and (not (<= ?v1 0)) (not (<= ?v2 0)))) (not (<= (+ ?v2 ?v1) 0))))
  3340 ))
  3341 (let (($x91 (not $x88)))
  3342 (let (($x36 (exists ((?v0 Int) )(forall ((?v1 Int) (?v2 Int) )(let (($x31 (and (< 0 ?v1) (< 0 ?v2))))
  3343 (=> $x31 (< 0 (+ ?v1 ?v2)))))
  3344 )
  3345 ))
  3346 (let (($x37 (not $x36)))
  3347 (let (($x54 (forall ((?v1 Int) (?v2 Int) )(let ((?x39 (+ ?v2 ?v1)))
  3348 (let (($x42 (< 0 ?x39)))
  3349 (or (not (and (< 0 ?v1) (< 0 ?v2))) $x42))))
  3350 ))
  3351 (let (($x85 (or (not (and (not (<= ?1 0)) (not (<= ?0 0)))) (not (<= (+ ?0 ?1) 0)))))
  3352 (let ((?x39 (+ ?0 ?1)))
  3353 (let (($x42 (< 0 ?x39)))
  3354 (let (($x49 (or (not (and (< 0 ?1) (< 0 ?0))) $x42)))
  3355 (let (($x79 (= (not (and (< 0 ?1) (< 0 ?0))) (not (and (not (<= ?1 0)) (not (<= ?0 0)))))))
  3356 (let (($x31 (and (< 0 ?1) (< 0 ?0))))
  3357 (let ((@x77 (monotonicity (rewrite (= (< 0 ?1) (not (<= ?1 0)))) (rewrite (= (< 0 ?0) (not (<= ?0 0)))) (= $x31 (and (not (<= ?1 0)) (not (<= ?0 0)))))))
  3358 (let ((@x87 (monotonicity (monotonicity @x77 $x79) (rewrite (= $x42 (not (<= ?x39 0)))) (= $x49 $x85))))
  3359 (let ((@x93 (monotonicity (quant-intro @x87 (= $x54 $x88)) (= (not $x54) $x91))))
  3360 (let (($x57 (exists ((?v0 Int) )(forall ((?v1 Int) (?v2 Int) )(let ((?x39 (+ ?v2 ?v1)))
  3361 (let (($x42 (< 0 ?x39)))
  3362 (or (not (and (< 0 ?v1) (< 0 ?v2))) $x42))))
  3363 )
  3364 ))
  3365 (let (($x35 (forall ((?v1 Int) (?v2 Int) )(let (($x31 (and (< 0 ?v1) (< 0 ?v2))))
  3366 (=> $x31 (< 0 (+ ?v1 ?v2)))))
  3367 ))
  3368 (let ((@x44 (monotonicity (rewrite (= (+ ?1 ?0) ?x39)) (= (< 0 (+ ?1 ?0)) $x42))))
  3369 (let ((@x47 (monotonicity @x44 (= (=> $x31 (< 0 (+ ?1 ?0))) (=> $x31 $x42)))))
  3370 (let ((@x53 (trans @x47 (rewrite (= (=> $x31 $x42) $x49)) (= (=> $x31 (< 0 (+ ?1 ?0))) $x49))))
  3371 (let ((@x63 (trans (quant-intro (quant-intro @x53 (= $x35 $x54)) (= $x36 $x57)) (elim-unused (= $x57 $x54)) (= $x36 $x54))))
  3372 (let ((@x95 (trans (monotonicity @x63 (= $x37 (not $x54))) @x93 (= $x37 $x91))))
  3373 (let ((@x112 (mp~ (mp (asserted $x37) @x95 $x91) (sk (~ $x91 (not $x108))) (not $x108))))
  3374 (let ((@x118 (not-or-elim @x112 $x106)))
  3375 (let (($x99 (<= ?v1!1 0)))
  3376 (let (($x100 (not $x99)))
  3377 (let ((@x116 (and-elim (not-or-elim @x112 (and $x100 (not (<= ?v2!0 0)))) $x100)))
  3378 (let (($x101 (<= ?v2!0 0)))
  3379 (let (($x102 (not $x101)))
  3380 (let ((@x117 (and-elim (not-or-elim @x112 (and $x100 $x102)) $x102)))
  3381 ((_ th-lemma arith farkas 1 1 1) @x117 @x116 @x118 false)))))))))))))))))))))))))))))))))))
  3382 
  3383 0d380fa4e68ab250e8351813b95695943794f02d 46 0
  3384 unsat
  3385 ((set-logic AUFLIRA)
  3386 (declare-fun ?v1!1 () Int)
  3387 (declare-fun ?v2!0 () Real)
  3388 (proof
  3389 (let (($x105 (<= ?v1!1 (- 1))))
  3390 (let (($x106 (not $x105)))
  3391 (let (($x107 (or (not (and (not (<= ?v1!1 0)) (not (<= ?v2!0 0.0)))) $x106)))
  3392 (let (($x88 (forall ((?v1 Int) (?v2 Real) )(or (not (and (not (<= ?v1 0)) (not (<= ?v2 0.0)))) (not (<= ?v1 (- 1)))))
  3393 ))
  3394 (let (($x91 (not $x88)))
  3395 (let (($x37 (exists ((?v0 Int) )(forall ((?v1 Int) (?v2 Real) )(let (($x31 (and (< 0 ?v1) (< 0.0 ?v2))))
  3396 (=> $x31 (< (- 1) ?v1))))
  3397 )
  3398 ))
  3399 (let (($x27 (not $x37)))
  3400 (let (($x54 (forall ((?v1 Int) (?v2 Real) )(let (($x42 (< (- 1) ?v1)))
  3401 (or (not (and (< 0 ?v1) (< 0.0 ?v2))) $x42)))
  3402 ))
  3403 (let (($x85 (or (not (and (not (<= ?1 0)) (not (<= ?0 0.0)))) (not (<= ?1 (- 1))))))
  3404 (let (($x42 (< (- 1) ?1)))
  3405 (let (($x49 (or (not (and (< 0 ?1) (< 0.0 ?0))) $x42)))
  3406 (let (($x79 (= (not (and (< 0 ?1) (< 0.0 ?0))) (not (and (not (<= ?1 0)) (not (<= ?0 0.0)))))))
  3407 (let (($x31 (and (< 0 ?1) (< 0.0 ?0))))
  3408 (let ((@x77 (monotonicity (rewrite (= (< 0 ?1) (not (<= ?1 0)))) (rewrite (= (< 0.0 ?0) (not (<= ?0 0.0)))) (= $x31 (and (not (<= ?1 0)) (not (<= ?0 0.0)))))))
  3409 (let ((@x87 (monotonicity (monotonicity @x77 $x79) (rewrite (= $x42 (not (<= ?1 (- 1))))) (= $x49 $x85))))
  3410 (let ((@x93 (monotonicity (quant-intro @x87 (= $x54 $x88)) (= (not $x54) $x91))))
  3411 (let (($x57 (exists ((?v0 Int) )(forall ((?v1 Int) (?v2 Real) )(let (($x42 (< (- 1) ?v1)))
  3412 (or (not (and (< 0 ?v1) (< 0.0 ?v2))) $x42)))
  3413 )
  3414 ))
  3415 (let (($x36 (forall ((?v1 Int) (?v2 Real) )(let (($x31 (and (< 0 ?v1) (< 0.0 ?v2))))
  3416 (=> $x31 (< (- 1) ?v1))))
  3417 ))
  3418 (let ((@x44 (monotonicity (rewrite (= (- 1) (- 1))) (= (< (- 1) ?1) $x42))))
  3419 (let ((@x47 (monotonicity @x44 (= (=> $x31 (< (- 1) ?1)) (=> $x31 $x42)))))
  3420 (let ((@x53 (trans @x47 (rewrite (= (=> $x31 $x42) $x49)) (= (=> $x31 (< (- 1) ?1)) $x49))))
  3421 (let ((@x63 (trans (quant-intro (quant-intro @x53 (= $x36 $x54)) (= $x37 $x57)) (elim-unused (= $x57 $x54)) (= $x37 $x54))))
  3422 (let ((@x95 (trans (monotonicity @x63 (= $x27 (not $x54))) @x93 (= $x27 $x91))))
  3423 (let ((@x111 (mp~ (mp (asserted $x27) @x95 $x91) (sk (~ $x91 (not $x107))) (not $x107))))
  3424 (let ((@x117 (not-or-elim @x111 $x105)))
  3425 (let (($x99 (<= ?v1!1 0)))
  3426 (let (($x100 (not $x99)))
  3427 (let ((@x115 (and-elim (not-or-elim @x111 (and $x100 (not (<= ?v2!0 0.0)))) $x100)))
  3428 (unit-resolution (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x106 $x99)) @x115 $x106) @x117 false)))))))))))))))))))))))))))))))
  3429 
  3430 d9fbfe5a894f4a224aaf7d1fa1f67325ad2e1497 110 0
  3431 unsat
  3432 ((set-logic AUFLIA)
  3433 (proof
  3434 (let (($x152 (forall ((?v0 Int) )(let (($x68 (<= ?v0 0)))
  3435 (let (($x69 (not $x68)))
  3436 (let (($x143 (not false)))
  3437 (let (($x146 (or $x143 $x69)))
  3438 (not $x146))))))
  3439 ))
  3440 (let (($x174 (forall ((?v0 Int) )false)
  3441 ))
  3442 (let (($x68 (<= ?0 0)))
  3443 (let (($x69 (not $x68)))
  3444 (let (($x143 (not false)))
  3445 (let (($x146 (or $x143 $x69)))
  3446 (let ((@x166 (trans (monotonicity (rewrite (= $x143 true)) (= $x146 (or true $x69))) (rewrite (= (or true $x69) true)) (= $x146 true))))
  3447 (let ((@x173 (trans (monotonicity @x166 (= (not $x146) (not true))) (rewrite (= (not true) false)) (= (not $x146) false))))
  3448 (let ((@x180 (trans (quant-intro @x173 (= $x152 $x174)) (elim-unused (= $x174 false)) (= $x152 false))))
  3449 (let (($x122 (forall ((?v0 Int) )(let (($x68 (<= ?v0 0)))
  3450 (let (($x69 (not $x68)))
  3451 (let (($x75 (forall ((?v1 Int) )(let (($x68 (<= ?v1 0)))
  3452 (let (($x69 (not $x68)))
  3453 (or (not (>= (+ ?v1 (* (- 1) ?v0)) 0)) $x69))))
  3454 ))
  3455 (let (($x78 (not $x75)))
  3456 (let (($x81 (or $x78 $x69)))
  3457 (not $x81)))))))
  3458 ))
  3459 (let (($x138 (forall ((?v0 Int) )(let (($x68 (<= ?v0 0)))
  3460 (let (($x69 (not $x68)))
  3461 (let (($x126 (forall ((?v1 Int) )(let (($x68 (<= ?v1 0)))
  3462 (not $x68)))
  3463 ))
  3464 (not (or (not $x126) $x69))))))
  3465 ))
  3466 (let ((@x156 (trans (rewrite (= $x122 $x138)) (rewrite (= $x138 $x152)) (= $x122 $x152))))
  3467 (let (($x116 (forall ((?v0 Int) )(let (($x68 (<= ?v0 0)))
  3468 (let (($x75 (forall ((?v1 Int) )(let (($x68 (<= ?v1 0)))
  3469 (let (($x69 (not $x68)))
  3470 (or (not (>= (+ ?v1 (* (- 1) ?v0)) 0)) $x69))))
  3471 ))
  3472 (and $x75 $x68))))
  3473 ))
  3474 (let (($x75 (forall ((?v1 Int) )(let (($x68 (<= ?v1 0)))
  3475 (let (($x69 (not $x68)))
  3476 (or (not (>= (+ ?v1 (* (- 1) ?0)) 0)) $x69))))
  3477 ))
  3478 (let (($x78 (not $x75)))
  3479 (let (($x81 (or $x78 $x69)))
  3480 (let (($x104 (not $x81)))
  3481 (let (($x113 (and $x75 $x68)))
  3482 (let (($x107 (forall ((?v0 Int) )(let (($x68 (<= ?v0 0)))
  3483 (let (($x69 (not $x68)))
  3484 (let (($x100 (not $x69)))
  3485 (let (($x75 (forall ((?v1 Int) )(let (($x68 (<= ?v1 0)))
  3486 (let (($x69 (not $x68)))
  3487 (or (not (>= (+ ?v1 (* (- 1) ?v0)) 0)) $x69))))
  3488 ))
  3489 (and $x75 $x100))))))
  3490 ))
  3491 (let ((@x115 (monotonicity (rewrite (= (not $x69) $x68)) (= (and $x75 (not $x69)) $x113))))
  3492 (let (($x84 (exists ((?v0 Int) )(let (($x68 (<= ?v0 0)))
  3493 (let (($x69 (not $x68)))
  3494 (let (($x75 (forall ((?v1 Int) )(let (($x68 (<= ?v1 0)))
  3495 (let (($x69 (not $x68)))
  3496 (or (not (>= (+ ?v1 (* (- 1) ?v0)) 0)) $x69))))
  3497 ))
  3498 (let (($x78 (not $x75)))
  3499 (or $x78 $x69))))))
  3500 ))
  3501 (let (($x87 (not $x84)))
  3502 (let (($x72 (or (not (>= (+ ?0 (* (- 1) ?1)) 0)) $x69)))
  3503 (let ((@x99 (nnf-neg (nnf-pos (refl (~ $x72 $x72)) (~ $x75 $x75)) (~ (not $x78) $x75))))
  3504 (let ((@x106 (nnf-neg @x99 (refl (~ (not $x69) (not $x69))) (~ $x104 (and $x75 (not $x69))))))
  3505 (let (($x34 (exists ((?v0 Int) )(let (($x30 (< 0 ?v0)))
  3506 (let (($x32 (forall ((?v1 Int) )(let (($x30 (< 0 ?v1)))
  3507 (let (($x29 (<= ?v0 ?v1)))
  3508 (=> $x29 $x30))))
  3509 ))
  3510 (=> $x32 $x30))))
  3511 ))
  3512 (let (($x35 (not $x34)))
  3513 (let (($x53 (exists ((?v0 Int) )(let (($x30 (< 0 ?v0)))
  3514 (let (($x41 (forall ((?v1 Int) )(let (($x30 (< 0 ?v1)))
  3515 (or (not (<= ?v0 ?v1)) $x30)))
  3516 ))
  3517 (or (not $x41) $x30))))
  3518 ))
  3519 (let (($x30 (< 0 ?0)))
  3520 (let (($x41 (forall ((?v1 Int) )(let (($x30 (< 0 ?v1)))
  3521 (or (not (<= ?0 ?v1)) $x30)))
  3522 ))
  3523 (let (($x48 (or (not $x41) $x30)))
  3524 (let ((@x67 (monotonicity (rewrite (= (<= ?1 ?0) (>= (+ ?0 (* (- 1) ?1)) 0))) (= (not (<= ?1 ?0)) (not (>= (+ ?0 (* (- 1) ?1)) 0))))))
  3525 (let ((@x74 (monotonicity @x67 (rewrite (= $x30 $x69)) (= (or (not (<= ?1 ?0)) $x30) $x72))))
  3526 (let ((@x80 (monotonicity (quant-intro @x74 (= $x41 $x75)) (= (not $x41) $x78))))
  3527 (let ((@x86 (quant-intro (monotonicity @x80 (rewrite (= $x30 $x69)) (= $x48 $x81)) (= $x53 $x84))))
  3528 (let (($x32 (forall ((?v1 Int) )(let (($x30 (< 0 ?v1)))
  3529 (let (($x29 (<= ?0 ?v1)))
  3530 (=> $x29 $x30))))
  3531 ))
  3532 (let (($x33 (=> $x32 $x30)))
  3533 (let ((@x40 (rewrite (= (=> (<= ?1 ?0) $x30) (or (not (<= ?1 ?0)) $x30)))))
  3534 (let ((@x46 (monotonicity (quant-intro @x40 (= $x32 $x41)) (= $x33 (=> $x41 $x30)))))
  3535 (let ((@x55 (quant-intro (trans @x46 (rewrite (= (=> $x41 $x30) $x48)) (= $x33 $x48)) (= $x34 $x53))))
  3536 (let ((@x91 (trans (monotonicity @x55 (= $x35 (not $x53))) (monotonicity @x86 (= (not $x53) $x87)) (= $x35 $x87))))
  3537 (let ((@x110 (mp~ (mp (asserted $x35) @x91 $x87) (nnf-neg @x106 (~ $x87 $x107)) $x107)))
  3538 (let ((@x125 (mp (mp @x110 (quant-intro @x115 (= $x107 $x116)) $x116) (quant-intro (rewrite (= $x113 $x104)) (= $x116 $x122)) $x122)))
  3539 (mp (mp @x125 @x156 $x152) @x180 false))))))))))))))))))))))))))))))))))))))))))))))
  3540 
  3541 79a22a7943e8703e97ab2cddee03d311bc7ae2a6 36 0
  3542 unsat
  3543 ((set-logic AUFLIA)
  3544 (proof
  3545 (let (($x35 (forall ((?v0 Int) )(let ((?x32 (* 2 a$)))
  3546 (let ((?x31 (* 2 ?v0)))
  3547 (let (($x33 (< ?x31 ?x32)))
  3548 (let (($x29 (< ?v0 a$)))
  3549 (=> $x29 $x33))))))
  3550 ))
  3551 (let (($x36 (not $x35)))
  3552 (let (($x42 (forall ((?v0 Int) )(let ((?x32 (* 2 a$)))
  3553 (let ((?x31 (* 2 ?v0)))
  3554 (let (($x33 (< ?x31 ?x32)))
  3555 (let (($x29 (< ?v0 a$)))
  3556 (let (($x38 (not $x29)))
  3557 (or $x38 $x33)))))))
  3558 ))
  3559 (let (($x45 (not $x42)))
  3560 (let (($x71 (forall ((?v0 Int) )true)
  3561 ))
  3562 (let ((?x32 (* 2 a$)))
  3563 (let ((?x31 (* 2 ?0)))
  3564 (let (($x33 (< ?x31 ?x32)))
  3565 (let (($x29 (< ?0 a$)))
  3566 (let (($x38 (not $x29)))
  3567 (let (($x39 (or $x38 $x33)))
  3568 (let (($x50 (>= (+ ?0 (* (- 1) a$)) 0)))
  3569 (let (($x49 (not $x50)))
  3570 (let ((@x61 (trans (monotonicity (rewrite (= $x29 $x49)) (= $x38 (not $x49))) (rewrite (= (not $x49) $x50)) (= $x38 $x50))))
  3571 (let ((@x66 (monotonicity @x61 (rewrite (= $x33 $x49)) (= $x39 (or $x50 $x49)))))
  3572 (let ((@x73 (quant-intro (trans @x66 (rewrite (= (or $x50 $x49) true)) (= $x39 true)) (= $x42 $x71))))
  3573 (let ((@x80 (monotonicity (trans @x73 (elim-unused (= $x71 true)) (= $x42 true)) (= $x45 (not true)))))
  3574 (let ((@x84 (trans @x80 (rewrite (= (not true) false)) (= $x45 false))))
  3575 (let ((@x47 (monotonicity (quant-intro (rewrite (= (=> $x29 $x33) $x39)) (= $x35 $x42)) (= $x36 $x45))))
  3576 (mp (asserted $x36) (trans @x47 @x84 (= $x36 false)) false))))))))))))))))))))))
  3577 
  3578 ae4f4fb9c10608b8e3b893cc6c99e3ec5d13a86c 24 0
  3579 unsat
  3580 ((set-logic AUFLIA)
  3581 (declare-fun ?v1!0 () Int)
  3582 (proof
  3583 (let (($x64 (>= ?v1!0 1)))
  3584 (let (($x52 (forall ((?v1 Int) )(or (not (<= ?v1 0)) (not (>= ?v1 1))))
  3585 ))
  3586 (let (($x55 (not $x52)))
  3587 (let (($x33 (forall ((?v0 Int) (?v1 Int) )(or (< 0 ?v1) (< ?v1 1)))
  3588 ))
  3589 (let (($x27 (not $x33)))
  3590 (let (($x35 (forall ((?v1 Int) )(or (< 0 ?v1) (< ?v1 1)))
  3591 ))
  3592 (let (($x32 (or (< 0 ?0) (< ?0 1))))
  3593 (let ((@x51 (monotonicity (rewrite (= (< 0 ?0) (not (<= ?0 0)))) (rewrite (= (< ?0 1) (not (>= ?0 1)))) (= $x32 (or (not (<= ?0 0)) (not (>= ?0 1)))))))
  3594 (let ((@x57 (monotonicity (quant-intro @x51 (= $x35 $x52)) (= (not $x35) $x55))))
  3595 (let ((@x59 (trans (monotonicity (elim-unused (= $x33 $x35)) (= $x27 (not $x35))) @x57 (= $x27 $x55))))
  3596 (let ((@x70 (mp~ (mp (asserted $x27) @x59 $x55) (sk (~ $x55 (not (or (not (<= ?v1!0 0)) (not $x64))))) (not (or (not (<= ?v1!0 0)) (not $x64))))))
  3597 (let ((@x74 (not-or-elim @x70 $x64)))
  3598 (let (($x65 (not $x64)))
  3599 (let (($x62 (<= ?v1!0 0)))
  3600 (let ((@x73 (not-or-elim @x70 $x62)))
  3601 (unit-resolution (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x65 (not $x62))) @x73 $x65) @x74 false))))))))))))))))))
  3602 
  3603 d98ad8f668dead6f610669a52351ea0176a811b0 26 0
  3604 unsat
  3605 ((set-logic <null>)
  3606 (proof
  3607 (let (($x58 (<= b$ 0)))
  3608 (let (($x62 (or (not (and (not (<= a$ 0)) (not (<= (* a$ b$) 0)))) (not $x58))))
  3609 (let (($x65 (not $x62)))
  3610 (let (($x35 (not (=> (and (< 0 a$) (< 0 (* a$ b$))) (< 0 b$)))))
  3611 (let (($x33 (< 0 b$)))
  3612 (let (($x38 (or (not (and (< 0 a$) (< 0 (* a$ b$)))) $x33)))
  3613 (let (($x56 (= (not (and (< 0 a$) (< 0 (* a$ b$)))) (not (and (not (<= a$ 0)) (not (<= (* a$ b$) 0)))))))
  3614 (let ((?x30 (* a$ b$)))
  3615 (let (($x48 (<= ?x30 0)))
  3616 (let (($x49 (not $x48)))
  3617 (let (($x44 (<= a$ 0)))
  3618 (let (($x45 (not $x44)))
  3619 (let (($x52 (and $x45 $x49)))
  3620 (let (($x32 (and (< 0 a$) (< 0 ?x30))))
  3621 (let ((@x54 (monotonicity (rewrite (= (< 0 a$) $x45)) (rewrite (= (< 0 ?x30) $x49)) (= $x32 $x52))))
  3622 (let ((@x64 (monotonicity (monotonicity @x54 $x56) (rewrite (= $x33 (not $x58))) (= $x38 $x62))))
  3623 (let ((@x43 (monotonicity (rewrite (= (=> $x32 $x33) $x38)) (= $x35 (not $x38)))))
  3624 (let ((@x69 (trans @x43 (monotonicity @x64 (= (not $x38) $x65)) (= $x35 $x65))))
  3625 (let ((@x74 (not-or-elim (mp (asserted $x35) @x69 $x65) $x58)))
  3626 (let ((@x72 (and-elim (not-or-elim (mp (asserted $x35) @x69 $x65) $x52) $x45)))
  3627 (let ((@x73 (and-elim (not-or-elim (mp (asserted $x35) @x69 $x65) $x52) $x49)))
  3628 ((_ th-lemma arith farkas 1 1 1) @x73 @x72 @x74 false))))))))))))))))))))))))
  3629 
  3630 271390ea915947de195c2202e30f90bb84689d60 26 0
  3631 unsat
  3632 ((set-logic <null>)
  3633 (proof
  3634 (let ((?x35 (+ y$ 1)))
  3635 (let ((?x36 (* a$ ?x35)))
  3636 (let ((?x34 (* a$ x$)))
  3637 (let ((?x37 (+ ?x34 ?x36)))
  3638 (let ((?x30 (+ x$ 1)))
  3639 (let ((?x32 (+ ?x30 y$)))
  3640 (let ((?x33 (* a$ ?x32)))
  3641 (let (($x38 (= ?x33 ?x37)))
  3642 (let (($x39 (not $x38)))
  3643 (let (($x82 (= (= (+ a$ ?x34 (* a$ y$)) (+ a$ ?x34 (* a$ y$))) true)))
  3644 (let (($x80 (= $x38 (= (+ a$ ?x34 (* a$ y$)) (+ a$ ?x34 (* a$ y$))))))
  3645 (let ((@x76 (rewrite (= (+ ?x34 (+ a$ (* a$ y$))) (+ a$ ?x34 (* a$ y$))))))
  3646 (let ((@x66 (monotonicity (rewrite (= ?x35 (+ 1 y$))) (= ?x36 (* a$ (+ 1 y$))))))
  3647 (let ((@x71 (trans @x66 (rewrite (= (* a$ (+ 1 y$)) (+ a$ (* a$ y$)))) (= ?x36 (+ a$ (* a$ y$))))))
  3648 (let ((@x78 (trans (monotonicity @x71 (= ?x37 (+ ?x34 (+ a$ (* a$ y$))))) @x76 (= ?x37 (+ a$ ?x34 (* a$ y$))))))
  3649 (let ((@x58 (rewrite (= (* a$ (+ 1 x$ y$)) (+ a$ ?x34 (* a$ y$))))))
  3650 (let ((@x46 (monotonicity (rewrite (= ?x30 (+ 1 x$))) (= ?x32 (+ (+ 1 x$) y$)))))
  3651 (let ((@x51 (trans @x46 (rewrite (= (+ (+ 1 x$) y$) (+ 1 x$ y$))) (= ?x32 (+ 1 x$ y$)))))
  3652 (let ((@x60 (trans (monotonicity @x51 (= ?x33 (* a$ (+ 1 x$ y$)))) @x58 (= ?x33 (+ a$ ?x34 (* a$ y$))))))
  3653 (let ((@x88 (monotonicity (trans (monotonicity @x60 @x78 $x80) (rewrite $x82) (= $x38 true)) (= $x39 (not true)))))
  3654 (let ((@x92 (trans @x88 (rewrite (= (not true) false)) (= $x39 false))))
  3655 (mp (asserted $x39) @x92 false))))))))))))))))))))))))
  3656 
  3657 b216c79478e44396acca3654b76845499fc18a04 23 0
  3658 unsat
  3659 ((set-logic <null>)
  3660 (proof
  3661 (let ((?x36 (* 2.0 x$)))
  3662 (let ((?x37 (* ?x36 y$)))
  3663 (let ((?x32 (- 1.0 y$)))
  3664 (let ((?x33 (* x$ ?x32)))
  3665 (let ((?x30 (+ 1.0 y$)))
  3666 (let ((?x31 (* x$ ?x30)))
  3667 (let ((?x34 (- ?x31 ?x33)))
  3668 (let (($x38 (= ?x34 ?x37)))
  3669 (let (($x39 (not $x38)))
  3670 (let ((@x73 (rewrite (= (= (* 2.0 (* x$ y$)) (* 2.0 (* x$ y$))) true))))
  3671 (let ((?x41 (* x$ y$)))
  3672 (let ((?x63 (* 2.0 ?x41)))
  3673 (let ((@x56 (rewrite (= (* x$ (+ 1.0 (* (- 1.0) y$))) (+ x$ (* (- 1.0) ?x41))))))
  3674 (let ((@x52 (monotonicity (rewrite (= ?x32 (+ 1.0 (* (- 1.0) y$)))) (= ?x33 (* x$ (+ 1.0 (* (- 1.0) y$)))))))
  3675 (let ((@x61 (monotonicity (rewrite (= ?x31 (+ x$ ?x41))) (trans @x52 @x56 (= ?x33 (+ x$ (* (- 1.0) ?x41)))) (= ?x34 (- (+ x$ ?x41) (+ x$ (* (- 1.0) ?x41)))))))
  3676 (let ((@x66 (trans @x61 (rewrite (= (- (+ x$ ?x41) (+ x$ (* (- 1.0) ?x41))) ?x63)) (= ?x34 ?x63))))
  3677 (let ((@x75 (trans (monotonicity @x66 (rewrite (= ?x37 ?x63)) (= $x38 (= ?x63 ?x63))) @x73 (= $x38 true))))
  3678 (let ((@x82 (trans (monotonicity @x75 (= $x39 (not true))) (rewrite (= (not true) false)) (= $x39 false))))
  3679 (mp (asserted $x39) @x82 false)))))))))))))))))))))
  3680 
  3681 9df6daf3cc37f0807bf370ee01536b85d300ecce 51 0
  3682 unsat
  3683 ((set-logic <null>)
  3684 (proof
  3685 (let ((?x47 (+ b$ d$)))
  3686 (let ((?x48 (+ ?x47 e$)))
  3687 (let ((?x30 (+ 1 p$)))
  3688 (let ((?x49 (* ?x30 ?x48)))
  3689 (let ((?x44 (* d$ p$)))
  3690 (let ((?x42 (* ?x30 d$)))
  3691 (let ((?x33 (+ b$ e$)))
  3692 (let ((?x40 (* 2 ?x30)))
  3693 (let ((?x41 (* ?x40 ?x33)))
  3694 (let ((?x43 (+ ?x41 ?x42)))
  3695 (let ((?x45 (+ ?x43 ?x44)))
  3696 (let ((?x46 (+ u$ ?x45)))
  3697 (let ((?x50 (- ?x46 ?x49)))
  3698 (let ((?x37 (* p$ d$)))
  3699 (let ((?x34 (* ?x30 ?x33)))
  3700 (let ((?x35 (+ u$ ?x34)))
  3701 (let ((?x38 (+ ?x35 ?x37)))
  3702 (let (($x51 (= ?x38 ?x50)))
  3703 (let (($x52 (not $x51)))
  3704 (let ((?x55 (* p$ e$)))
  3705 (let ((?x54 (* p$ b$)))
  3706 (let ((?x70 (+ u$ b$ e$ ?x37 ?x54 ?x55)))
  3707 (let ((?x127 (+ b$ e$ d$ ?x37 ?x54 ?x55)))
  3708 (let ((?x85 (* 2 ?x55)))
  3709 (let ((?x83 (* 2 ?x54)))
  3710 (let ((?x84 (* 2 e$)))
  3711 (let ((?x82 (* 2 b$)))
  3712 (let ((?x116 (+ u$ ?x82 ?x84 d$ (* 2 ?x37) ?x83 ?x85)))
  3713 (let ((@x126 (monotonicity (rewrite (= ?x48 (+ b$ e$ d$))) (= ?x49 (* ?x30 (+ b$ e$ d$))))))
  3714 (let ((@x131 (trans @x126 (rewrite (= (* ?x30 (+ b$ e$ d$)) ?x127)) (= ?x49 ?x127))))
  3715 (let ((@x118 (rewrite (= (+ u$ (+ ?x82 ?x84 d$ (* 2 ?x37) ?x83 ?x85)) ?x116))))
  3716 (let ((?x108 (+ ?x82 ?x84 d$ (* 2 ?x37) ?x83 ?x85)))
  3717 (let ((?x97 (+ ?x82 ?x84 d$ ?x37 ?x83 ?x85)))
  3718 (let ((@x88 (rewrite (= (* (+ 2 (* 2 p$)) ?x33) (+ ?x82 ?x84 ?x83 ?x85)))))
  3719 (let ((@x81 (monotonicity (rewrite (= ?x40 (+ 2 (* 2 p$)))) (= ?x41 (* (+ 2 (* 2 p$)) ?x33)))))
  3720 (let ((@x96 (monotonicity (trans @x81 @x88 (= ?x41 (+ ?x82 ?x84 ?x83 ?x85))) (rewrite (= ?x42 (+ d$ ?x37))) (= ?x43 (+ (+ ?x82 ?x84 ?x83 ?x85) (+ d$ ?x37))))))
  3721 (let ((@x101 (trans @x96 (rewrite (= (+ (+ ?x82 ?x84 ?x83 ?x85) (+ d$ ?x37)) ?x97)) (= ?x43 ?x97))))
  3722 (let ((@x112 (trans (monotonicity @x101 (rewrite (= ?x44 ?x37)) (= ?x45 (+ ?x97 ?x37))) (rewrite (= (+ ?x97 ?x37) ?x108)) (= ?x45 ?x108))))
  3723 (let ((@x120 (trans (monotonicity @x112 (= ?x46 (+ u$ ?x108))) @x118 (= ?x46 ?x116))))
  3724 (let ((@x139 (trans (monotonicity @x120 @x131 (= ?x50 (- ?x116 ?x127))) (rewrite (= (- ?x116 ?x127) ?x70)) (= ?x50 ?x70))))
  3725 (let ((@x64 (rewrite (= (+ u$ (+ b$ e$ ?x54 ?x55)) (+ u$ b$ e$ ?x54 ?x55)))))
  3726 (let ((@x61 (monotonicity (rewrite (= ?x34 (+ b$ e$ ?x54 ?x55))) (= ?x35 (+ u$ (+ b$ e$ ?x54 ?x55))))))
  3727 (let ((@x69 (monotonicity (trans @x61 @x64 (= ?x35 (+ u$ b$ e$ ?x54 ?x55))) (= ?x38 (+ (+ u$ b$ e$ ?x54 ?x55) ?x37)))))
  3728 (let ((@x74 (trans @x69 (rewrite (= (+ (+ u$ b$ e$ ?x54 ?x55) ?x37) ?x70)) (= ?x38 ?x70))))
  3729 (let ((@x145 (trans (monotonicity @x74 @x139 (= $x51 (= ?x70 ?x70))) (rewrite (= (= ?x70 ?x70) true)) (= $x51 true))))
  3730 (let ((@x152 (trans (monotonicity @x145 (= $x52 (not true))) (rewrite (= (not true) false)) (= $x52 false))))
  3731 (mp (asserted $x52) @x152 false)))))))))))))))))))))))))))))))))))))))))))))))))
  3732 
  3733 49c385b161a0c500f84c45f85272a8ec9574fef4 126 0
  3734 unsat
  3735 ((set-logic AUFLIA)
  3736 (proof
  3737 (let ((?x29 (of_nat$ x$)))
  3738 (let ((?x30 (* 2 ?x29)))
  3739 (let ((?x31 (nat$ ?x30)))
  3740 (let ((?x212 (of_nat$ ?x31)))
  3741 (let ((?x532 (* (- 1) ?x212)))
  3742 (let ((?x533 (+ ?x30 ?x532)))
  3743 (let (($x513 (<= ?x533 0)))
  3744 (let (($x531 (= ?x533 0)))
  3745 (let (($x193 (>= ?x29 0)))
  3746 (let (($x487 (>= ?x212 1)))
  3747 (let (($x485 (= ?x212 1)))
  3748 (let ((?x33 (nat$ 1)))
  3749 (let ((?x504 (of_nat$ ?x33)))
  3750 (let (($x505 (= ?x504 1)))
  3751 (let (($x546 (forall ((?v0 Int) )(!(let ((?x49 (nat$ ?v0)))
  3752 (let ((?x50 (of_nat$ ?x49)))
  3753 (let (($x51 (= ?x50 ?v0)))
  3754 (let (($x64 (>= ?v0 0)))
  3755 (let (($x65 (not $x64)))
  3756 (or $x65 $x51)))))) :pattern ( (nat$ ?v0) )))
  3757 ))
  3758 (let (($x71 (forall ((?v0 Int) )(let ((?x49 (nat$ ?v0)))
  3759 (let ((?x50 (of_nat$ ?x49)))
  3760 (let (($x51 (= ?x50 ?v0)))
  3761 (let (($x64 (>= ?v0 0)))
  3762 (let (($x65 (not $x64)))
  3763 (or $x65 $x51)))))))
  3764 ))
  3765 (let ((?x49 (nat$ ?0)))
  3766 (let ((?x50 (of_nat$ ?x49)))
  3767 (let (($x51 (= ?x50 ?0)))
  3768 (let (($x64 (>= ?0 0)))
  3769 (let (($x65 (not $x64)))
  3770 (let (($x68 (or $x65 $x51)))
  3771 (let (($x53 (forall ((?v0 Int) )(let ((?x49 (nat$ ?v0)))
  3772 (let ((?x50 (of_nat$ ?x49)))
  3773 (let (($x51 (= ?x50 ?v0)))
  3774 (let (($x48 (<= 0 ?v0)))
  3775 (=> $x48 $x51))))))
  3776 ))
  3777 (let (($x59 (forall ((?v0 Int) )(let ((?x49 (nat$ ?v0)))
  3778 (let ((?x50 (of_nat$ ?x49)))
  3779 (let (($x51 (= ?x50 ?v0)))
  3780 (or (not (<= 0 ?v0)) $x51)))))
  3781 ))
  3782 (let ((@x67 (monotonicity (rewrite (= (<= 0 ?0) $x64)) (= (not (<= 0 ?0)) $x65))))
  3783 (let ((@x73 (quant-intro (monotonicity @x67 (= (or (not (<= 0 ?0)) $x51) $x68)) (= $x59 $x71))))
  3784 (let ((@x58 (rewrite (= (=> (<= 0 ?0) $x51) (or (not (<= 0 ?0)) $x51)))))
  3785 (let ((@x76 (mp (asserted $x53) (trans (quant-intro @x58 (= $x53 $x59)) @x73 (= $x53 $x71)) $x71)))
  3786 (let ((@x551 (mp (mp~ @x76 (nnf-pos (refl (~ $x68 $x68)) (~ $x71 $x71)) $x71) (quant-intro (refl (= $x68 $x68)) (= $x71 $x546)) $x546)))
  3787 (let (($x526 (not $x546)))
  3788 (let (($x489 (or $x526 $x505)))
  3789 (let ((@x506 (rewrite (= (>= 1 0) true))))
  3790 (let ((@x219 (trans (monotonicity @x506 (= (not (>= 1 0)) (not true))) (rewrite (= (not true) false)) (= (not (>= 1 0)) false))))
  3791 (let ((@x223 (monotonicity @x219 (= (or (not (>= 1 0)) $x505) (or false $x505)))))
  3792 (let ((@x503 (trans @x223 (rewrite (= (or false $x505) $x505)) (= (or (not (>= 1 0)) $x505) $x505))))
  3793 (let ((@x493 (monotonicity @x503 (= (or $x526 (or (not (>= 1 0)) $x505)) $x489))))
  3794 (let ((@x496 (trans @x493 (rewrite (= $x489 $x489)) (= (or $x526 (or (not (>= 1 0)) $x505)) $x489))))
  3795 (let ((@x497 (mp ((_ quant-inst 1) (or $x526 (or (not (>= 1 0)) $x505))) @x496 $x489)))
  3796 (let (($x34 (= ?x31 ?x33)))
  3797 (let ((@x42 (mp (asserted (not (not $x34))) (rewrite (= (not (not $x34)) $x34)) $x34)))
  3798 (let ((@x356 (trans (monotonicity @x42 (= ?x212 ?x504)) (unit-resolution @x497 @x551 $x505) $x485)))
  3799 (let ((@x371 (unit-resolution ((_ th-lemma arith farkas 1 1) (or (not $x487) (not (<= ?x212 0)))) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x485) $x487)) @x356 $x487) (not (<= ?x212 0)))))
  3800 (let ((@x374 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x212 0)) (<= ?x212 0))) @x371 (not (= ?x212 0)))))
  3801 (let (($x515 (= ?x212 0)))
  3802 (let (($x517 (or $x193 $x515)))
  3803 (let (($x552 (forall ((?v0 Int) )(!(let ((?x49 (nat$ ?v0)))
  3804 (let ((?x50 (of_nat$ ?x49)))
  3805 (let (($x78 (= ?x50 0)))
  3806 (let (($x64 (>= ?v0 0)))
  3807 (or $x64 $x78))))) :pattern ( (nat$ ?v0) )))
  3808 ))
  3809 (let (($x101 (forall ((?v0 Int) )(let ((?x49 (nat$ ?v0)))
  3810 (let ((?x50 (of_nat$ ?x49)))
  3811 (let (($x78 (= ?x50 0)))
  3812 (let (($x64 (>= ?v0 0)))
  3813 (or $x64 $x78))))))
  3814 ))
  3815 (let ((@x556 (quant-intro (refl (= (or $x64 (= ?x50 0)) (or $x64 (= ?x50 0)))) (= $x101 $x552))))
  3816 (let ((@x120 (nnf-pos (refl (~ (or $x64 (= ?x50 0)) (or $x64 (= ?x50 0)))) (~ $x101 $x101))))
  3817 (let (($x80 (forall ((?v0 Int) )(let ((?x49 (nat$ ?v0)))
  3818 (let ((?x50 (of_nat$ ?x49)))
  3819 (let (($x78 (= ?x50 0)))
  3820 (let (($x77 (< ?v0 0)))
  3821 (=> $x77 $x78))))))
  3822 ))
  3823 (let (($x86 (forall ((?v0 Int) )(let ((?x49 (nat$ ?v0)))
  3824 (let ((?x50 (of_nat$ ?x49)))
  3825 (let (($x78 (= ?x50 0)))
  3826 (let (($x77 (< ?v0 0)))
  3827 (let (($x82 (not $x77)))
  3828 (or $x82 $x78)))))))
  3829 ))
  3830 (let (($x78 (= ?x50 0)))
  3831 (let (($x98 (or $x64 $x78)))
  3832 (let (($x77 (< ?0 0)))
  3833 (let (($x82 (not $x77)))
  3834 (let (($x83 (or $x82 $x78)))
  3835 (let ((@x97 (trans (monotonicity (rewrite (= $x77 $x65)) (= $x82 (not $x65))) (rewrite (= (not $x65) $x64)) (= $x82 $x64))))
  3836 (let ((@x105 (trans (quant-intro (rewrite (= (=> $x77 $x78) $x83)) (= $x80 $x86)) (quant-intro (monotonicity @x97 (= $x83 $x98)) (= $x86 $x101)) (= $x80 $x101))))
  3837 (let ((@x557 (mp (mp~ (mp (asserted $x80) @x105 $x101) @x120 $x101) @x556 $x552)))
  3838 (let (($x156 (not $x552)))
  3839 (let (($x520 (or $x156 $x193 $x515)))
  3840 (let ((@x530 (rewrite (= (>= ?x30 0) $x193))))
  3841 (let ((@x523 (monotonicity (monotonicity @x530 (= (or (>= ?x30 0) $x515) $x517)) (= (or $x156 (or (>= ?x30 0) $x515)) (or $x156 $x517)))))
  3842 (let ((@x215 (trans @x523 (rewrite (= (or $x156 $x517) $x520)) (= (or $x156 (or (>= ?x30 0) $x515)) $x520))))
  3843 (let ((@x229 (mp ((_ quant-inst (* 2 ?x29)) (or $x156 (or (>= ?x30 0) $x515))) @x215 $x520)))
  3844 (let (($x185 (not $x193)))
  3845 (let (($x534 (or $x185 $x531)))
  3846 (let (($x188 (or $x526 $x185 $x531)))
  3847 (let (($x213 (= ?x212 ?x30)))
  3848 (let (($x208 (>= ?x30 0)))
  3849 (let (($x209 (not $x208)))
  3850 (let (($x214 (or $x209 $x213)))
  3851 (let (($x189 (or $x526 $x214)))
  3852 (let ((@x536 (monotonicity (monotonicity @x530 (= $x209 $x185)) (rewrite (= $x213 $x531)) (= $x214 $x534))))
  3853 (let ((@x175 (trans (monotonicity @x536 (= $x189 (or $x526 $x534))) (rewrite (= (or $x526 $x534) $x188)) (= $x189 $x188))))
  3854 (let ((@x176 (mp ((_ quant-inst (* 2 ?x29)) $x189) @x175 $x188)))
  3855 (let ((@x470 (unit-resolution (unit-resolution @x176 @x551 $x534) (unit-resolution (unit-resolution @x229 @x557 $x517) @x374 $x193) $x531)))
  3856 (let (($x514 (>= ?x533 0)))
  3857 (let (($x486 (<= ?x212 1)))
  3858 ((_ th-lemma arith gcd-test -1/2 -1/2 -1/2 -1/2) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x485) $x487)) @x356 $x487) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x485) $x486)) @x356 $x486) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x531) $x514)) @x470 $x514) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x531) $x513)) @x470 $x513) false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  3859 
  3860 1c2b6530334930f2f4f6e0d6b73f1d249b6c5fd8 22 0
  3861 unsat
  3862 ((set-logic AUFLIA)
  3863 (proof
  3864 (let ((?x28 (of_nat$ a$)))
  3865 (let (($x57 (>= ?x28 4)))
  3866 (let (($x64 (not (or (>= ?x28 3) (not $x57)))))
  3867 (let (($x34 (< (* 2 ?x28) 7)))
  3868 (let (($x30 (< ?x28 3)))
  3869 (let (($x38 (not $x30)))
  3870 (let (($x39 (or $x38 $x34)))
  3871 (let ((@x51 (monotonicity (rewrite (= $x30 (not (>= ?x28 3)))) (= $x38 (not (not (>= ?x28 3)))))))
  3872 (let ((@x55 (trans @x51 (rewrite (= (not (not (>= ?x28 3))) (>= ?x28 3))) (= $x38 (>= ?x28 3)))))
  3873 (let ((@x63 (monotonicity @x55 (rewrite (= $x34 (not $x57))) (= $x39 (or (>= ?x28 3) (not $x57))))))
  3874 (let ((@x44 (monotonicity (rewrite (= (=> $x30 $x34) $x39)) (= (not (=> $x30 $x34)) (not $x39)))))
  3875 (let ((@x68 (trans @x44 (monotonicity @x63 (= (not $x39) $x64)) (= (not (=> $x30 $x34)) $x64))))
  3876 (let ((@x71 (not-or-elim (mp (asserted (not (=> $x30 $x34))) @x68 $x64) $x57)))
  3877 (let (($x58 (not $x57)))
  3878 (let (($x47 (>= ?x28 3)))
  3879 (let (($x45 (not $x47)))
  3880 (let ((@x70 (not-or-elim (mp (asserted (not (=> $x30 $x34))) @x68 $x64) $x45)))
  3881 (unit-resolution (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x58 $x47)) @x70 $x58) @x71 false))))))))))))))))))))
  3882 
  3883 995f80f06d5874ea2208846fb3b3217c3a3b9bfd 147 0
  3884 unsat
  3885 ((set-logic AUFLIA)
  3886 (proof
  3887 (let ((?x29 (of_nat$ y$)))
  3888 (let ((?x30 (+ 1 ?x29)))
  3889 (let ((?x31 (nat$ ?x30)))
  3890 (let ((?x32 (of_nat$ ?x31)))
  3891 (let ((?x43 (* (- 1) ?x29)))
  3892 (let ((?x44 (+ ?x43 ?x32)))
  3893 (let ((?x47 (nat$ ?x44)))
  3894 (let ((?x50 (of_nat$ ?x47)))
  3895 (let ((?x567 (* (- 1) ?x32)))
  3896 (let ((?x255 (+ ?x29 ?x567 ?x50)))
  3897 (let (($x513 (>= ?x255 0)))
  3898 (let (($x532 (= ?x255 0)))
  3899 (let ((?x568 (+ ?x29 ?x567)))
  3900 (let (($x248 (<= ?x568 0)))
  3901 (let (($x551 (<= ?x568 (- 1))))
  3902 (let (($x558 (= ?x568 (- 1))))
  3903 (let (($x229 (>= ?x29 (- 1))))
  3904 (let (($x387 (>= ?x29 0)))
  3905 (let ((?x154 (nat$ ?x29)))
  3906 (let ((?x388 (of_nat$ ?x154)))
  3907 (let (($x352 (= ?x388 0)))
  3908 (let (($x498 (or $x387 $x352)))
  3909 (let (($x584 (forall ((?v0 Int) )(!(let ((?x81 (nat$ ?v0)))
  3910 (let ((?x82 (of_nat$ ?x81)))
  3911 (let (($x110 (= ?x82 0)))
  3912 (let (($x95 (>= ?v0 0)))
  3913 (or $x95 $x110))))) :pattern ( (nat$ ?v0) )))
  3914 ))
  3915 (let (($x133 (forall ((?v0 Int) )(let ((?x81 (nat$ ?v0)))
  3916 (let ((?x82 (of_nat$ ?x81)))
  3917 (let (($x110 (= ?x82 0)))
  3918 (let (($x95 (>= ?v0 0)))
  3919 (or $x95 $x110))))))
  3920 ))
  3921 (let ((?x81 (nat$ ?0)))
  3922 (let ((?x82 (of_nat$ ?x81)))
  3923 (let (($x110 (= ?x82 0)))
  3924 (let (($x95 (>= ?0 0)))
  3925 (let (($x130 (or $x95 $x110)))
  3926 (let (($x112 (forall ((?v0 Int) )(let ((?x81 (nat$ ?v0)))
  3927 (let ((?x82 (of_nat$ ?x81)))
  3928 (let (($x110 (= ?x82 0)))
  3929 (let (($x109 (< ?v0 0)))
  3930 (=> $x109 $x110))))))
  3931 ))
  3932 (let (($x118 (forall ((?v0 Int) )(let ((?x81 (nat$ ?v0)))
  3933 (let ((?x82 (of_nat$ ?x81)))
  3934 (let (($x110 (= ?x82 0)))
  3935 (let (($x109 (< ?v0 0)))
  3936 (let (($x114 (not $x109)))
  3937 (or $x114 $x110)))))))
  3938 ))
  3939 (let ((@x125 (monotonicity (rewrite (= (< ?0 0) (not $x95))) (= (not (< ?0 0)) (not (not $x95))))))
  3940 (let ((@x129 (trans @x125 (rewrite (= (not (not $x95)) $x95)) (= (not (< ?0 0)) $x95))))
  3941 (let ((@x135 (quant-intro (monotonicity @x129 (= (or (not (< ?0 0)) $x110) $x130)) (= $x118 $x133))))
  3942 (let ((@x117 (rewrite (= (=> (< ?0 0) $x110) (or (not (< ?0 0)) $x110)))))
  3943 (let ((@x138 (mp (asserted $x112) (trans (quant-intro @x117 (= $x112 $x118)) @x135 (= $x112 $x133)) $x133)))
  3944 (let ((@x589 (mp (mp~ @x138 (nnf-pos (refl (~ $x130 $x130)) (~ $x133 $x133)) $x133) (quant-intro (refl (= $x130 $x130)) (= $x133 $x584)) $x584)))
  3945 (let (($x555 (not $x584)))
  3946 (let (($x500 (or $x555 $x387 $x352)))
  3947 (let ((@x404 (mp ((_ quant-inst (of_nat$ y$)) (or $x555 $x498)) (rewrite (= (or $x555 $x498) $x500)) $x500)))
  3948 (let ((@x487 (unit-resolution (unit-resolution @x404 @x589 $x498) (hypothesis (not $x387)) $x352)))
  3949 (let (($x239 (= ?x154 y$)))
  3950 (let (($x570 (forall ((?v0 Nat$) )(!(= (nat$ (of_nat$ ?v0)) ?v0) :pattern ( (of_nat$ ?v0) )))
  3951 ))
  3952 (let (($x77 (forall ((?v0 Nat$) )(= (nat$ (of_nat$ ?v0)) ?v0))
  3953 ))
  3954 (let ((@x575 (trans (rewrite (= $x77 $x570)) (rewrite (= $x570 $x570)) (= $x77 $x570))))
  3955 (let ((@x144 (refl (~ (= (nat$ (of_nat$ ?0)) ?0) (= (nat$ (of_nat$ ?0)) ?0)))))
  3956 (let ((@x576 (mp (mp~ (asserted $x77) (nnf-pos @x144 (~ $x77 $x77)) $x77) @x575 $x570)))
  3957 (let (($x241 (not $x570)))
  3958 (let (($x231 (or $x241 $x239)))
  3959 (let ((@x242 ((_ quant-inst y$) $x231)))
  3960 (let ((@x475 (monotonicity (symm (unit-resolution @x242 @x576 $x239) (= y$ ?x154)) (= ?x29 ?x388))))
  3961 (let ((@x480 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x29 0)) $x387)) (hypothesis (not $x387)) (trans @x475 @x487 (= ?x29 0)) false)))
  3962 (let ((@x468 (unit-resolution ((_ th-lemma arith farkas 1 1) (or (not $x387) $x229)) (lemma @x480 $x387) $x229)))
  3963 (let (($x564 (not $x229)))
  3964 (let (($x559 (or $x564 $x558)))
  3965 (let (($x578 (forall ((?v0 Int) )(!(let ((?x81 (nat$ ?v0)))
  3966 (let ((?x82 (of_nat$ ?x81)))
  3967 (let (($x83 (= ?x82 ?v0)))
  3968 (let (($x95 (>= ?v0 0)))
  3969 (let (($x97 (not $x95)))
  3970 (or $x97 $x83)))))) :pattern ( (nat$ ?v0) )))
  3971 ))
  3972 (let (($x103 (forall ((?v0 Int) )(let ((?x81 (nat$ ?v0)))
  3973 (let ((?x82 (of_nat$ ?x81)))
  3974 (let (($x83 (= ?x82 ?v0)))
  3975 (let (($x95 (>= ?v0 0)))
  3976 (let (($x97 (not $x95)))
  3977 (or $x97 $x83)))))))
  3978 ))
  3979 (let ((@x580 (refl (= (or (not $x95) (= ?x82 ?0)) (or (not $x95) (= ?x82 ?0))))))
  3980 (let ((@x139 (refl (~ (or (not $x95) (= ?x82 ?0)) (or (not $x95) (= ?x82 ?0))))))
  3981 (let (($x85 (forall ((?v0 Int) )(let ((?x81 (nat$ ?v0)))
  3982 (let ((?x82 (of_nat$ ?x81)))
  3983 (let (($x83 (= ?x82 ?v0)))
  3984 (let (($x80 (<= 0 ?v0)))
  3985 (=> $x80 $x83))))))
  3986 ))
  3987 (let (($x91 (forall ((?v0 Int) )(let ((?x81 (nat$ ?v0)))
  3988 (let ((?x82 (of_nat$ ?x81)))
  3989 (let (($x83 (= ?x82 ?v0)))
  3990 (or (not (<= 0 ?v0)) $x83)))))
  3991 ))
  3992 (let (($x83 (= ?x82 ?0)))
  3993 (let (($x97 (not $x95)))
  3994 (let (($x100 (or $x97 $x83)))
  3995 (let (($x88 (or (not (<= 0 ?0)) $x83)))
  3996 (let ((@x99 (monotonicity (rewrite (= (<= 0 ?0) $x95)) (= (not (<= 0 ?0)) $x97))))
  3997 (let ((@x93 (quant-intro (rewrite (= (=> (<= 0 ?0) $x83) $x88)) (= $x85 $x91))))
  3998 (let ((@x107 (trans @x93 (quant-intro (monotonicity @x99 (= $x88 $x100)) (= $x91 $x103)) (= $x85 $x103))))
  3999 (let ((@x148 (mp~ (mp (asserted $x85) @x107 $x103) (nnf-pos @x139 (~ $x103 $x103)) $x103)))
  4000 (let ((@x583 (mp @x148 (quant-intro @x580 (= $x103 $x578)) $x578)))
  4001 (let (($x202 (not $x578)))
  4002 (let (($x544 (or $x202 $x564 $x558)))
  4003 (let (($x557 (or (not (>= ?x30 0)) (= ?x32 ?x30))))
  4004 (let (($x205 (or $x202 $x557)))
  4005 (let ((@x566 (monotonicity (rewrite (= (>= ?x30 0) $x229)) (= (not (>= ?x30 0)) $x564))))
  4006 (let ((@x560 (monotonicity @x566 (rewrite (= (= ?x32 ?x30) $x558)) (= $x557 $x559))))
  4007 (let ((@x549 (trans (monotonicity @x560 (= $x205 (or $x202 $x559))) (rewrite (= (or $x202 $x559) $x544)) (= $x205 $x544))))
  4008 (let ((@x550 (mp ((_ quant-inst (+ 1 ?x29)) $x205) @x549 $x544)))
  4009 (let ((@x453 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x558) $x551)) (unit-resolution (unit-resolution @x550 @x583 $x559) @x468 $x558) $x551)))
  4010 (let (($x251 (not $x248)))
  4011 (let (($x535 (or $x251 $x532)))
  4012 (let (($x523 (or $x202 $x251 $x532)))
  4013 (let (($x541 (or (not (>= ?x44 0)) (= ?x50 ?x44))))
  4014 (let (($x524 (or $x202 $x541)))
  4015 (let ((@x531 (monotonicity (rewrite (= (>= ?x44 0) $x248)) (= (not (>= ?x44 0)) $x251))))
  4016 (let ((@x522 (monotonicity @x531 (rewrite (= (= ?x50 ?x44) $x532)) (= $x541 $x535))))
  4017 (let ((@x369 (trans (monotonicity @x522 (= $x524 (or $x202 $x535))) (rewrite (= (or $x202 $x535) $x523)) (= $x524 $x523))))
  4018 (let ((@x511 (mp ((_ quant-inst (+ ?x43 ?x32)) $x524) @x369 $x523)))
  4019 (let ((@x459 (unit-resolution (unit-resolution @x511 @x583 $x535) (unit-resolution ((_ th-lemma arith farkas 1 1) (or (not $x551) $x248)) @x453 $x248) $x532)))
  4020 (let (($x59 (<= ?x50 0)))
  4021 (let ((@x65 (monotonicity (rewrite (= (< 0 ?x50) (not $x59))) (= (not (< 0 ?x50)) (not (not $x59))))))
  4022 (let ((@x69 (trans @x65 (rewrite (= (not (not $x59)) $x59)) (= (not (< 0 ?x50)) $x59))))
  4023 (let (($x53 (< 0 ?x50)))
  4024 (let (($x56 (not $x53)))
  4025 (let (($x38 (not (< (* 0 ?x32) (of_nat$ (nat$ (- ?x32 ?x29)))))))
  4026 (let ((@x49 (monotonicity (rewrite (= (- ?x32 ?x29) ?x44)) (= (nat$ (- ?x32 ?x29)) ?x47))))
  4027 (let ((@x55 (monotonicity (rewrite (= (* 0 ?x32) 0)) (monotonicity @x49 (= (of_nat$ (nat$ (- ?x32 ?x29))) ?x50)) (= (< (* 0 ?x32) (of_nat$ (nat$ (- ?x32 ?x29)))) $x53))))
  4028 (let ((@x72 (mp (asserted $x38) (trans (monotonicity @x55 (= $x38 $x56)) @x69 (= $x38 $x59)) $x59)))
  4029 ((_ th-lemma arith farkas -1 -1 1) @x72 @x453 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x532) $x513)) @x459 $x513) false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  4030 
  4031 5d99a07ea08069a53b86d7f3330815887331e82a 145 0
  4032 unsat
  4033 ((set-logic AUFLIA)
  4034 (proof
  4035 (let ((?x29 (of_nat$ y$)))
  4036 (let ((?x30 (+ 1 ?x29)))
  4037 (let ((?x31 (nat$ ?x30)))
  4038 (let ((?x32 (of_nat$ ?x31)))
  4039 (let ((?x48 (+ (- 1) ?x32)))
  4040 (let ((?x51 (nat$ ?x48)))
  4041 (let ((?x585 (of_nat$ ?x51)))
  4042 (let ((?x299 (* (- 1) ?x585)))
  4043 (let ((?x434 (+ ?x29 ?x299)))
  4044 (let (($x436 (>= ?x434 0)))
  4045 (let (($x558 (= ?x29 ?x585)))
  4046 (let (($x54 (= ?x51 y$)))
  4047 (let (($x88 (<= ?x32 0)))
  4048 (let (($x98 (not (or (= (not $x88) $x54) (not $x88)))))
  4049 (let (($x40 (=> (not (ite (< 0 ?x32) true false)) false)))
  4050 (let (($x33 (< 0 ?x32)))
  4051 (let (($x34 (ite $x33 true false)))
  4052 (let (($x38 (= $x34 (= (nat$ (- ?x32 1)) y$))))
  4053 (let (($x42 (or false (or $x38 $x40))))
  4054 (let (($x43 (not $x42)))
  4055 (let (($x60 (= $x33 $x54)))
  4056 (let (($x75 (or $x60 $x33)))
  4057 (let ((@x94 (monotonicity (rewrite (= $x33 (not $x88))) (= $x60 (= (not $x88) $x54)))))
  4058 (let ((@x97 (monotonicity @x94 (rewrite (= $x33 (not $x88))) (= $x75 (or (= (not $x88) $x54) (not $x88))))))
  4059 (let ((@x70 (monotonicity (monotonicity (rewrite (= $x34 $x33)) (= (not $x34) (not $x33))) (= $x40 (=> (not $x33) false)))))
  4060 (let ((@x74 (trans @x70 (rewrite (= (=> (not $x33) false) $x33)) (= $x40 $x33))))
  4061 (let ((@x53 (monotonicity (rewrite (= (- ?x32 1) ?x48)) (= (nat$ (- ?x32 1)) ?x51))))
  4062 (let ((@x59 (monotonicity (rewrite (= $x34 $x33)) (monotonicity @x53 (= (= (nat$ (- ?x32 1)) y$) $x54)) (= $x38 (= $x33 $x54)))))
  4063 (let ((@x77 (monotonicity (trans @x59 (rewrite (= (= $x33 $x54) $x60)) (= $x38 $x60)) @x74 (= (or $x38 $x40) $x75))))
  4064 (let ((@x84 (trans (monotonicity @x77 (= $x42 (or false $x75))) (rewrite (= (or false $x75) $x75)) (= $x42 $x75))))
  4065 (let ((@x102 (trans (monotonicity @x84 (= $x43 (not $x75))) (monotonicity @x97 (= (not $x75) $x98)) (= $x43 $x98))))
  4066 (let ((@x106 (not-or-elim (mp (asserted $x43) @x102 $x98) $x88)))
  4067 (let ((@x187 (monotonicity (iff-true @x106 (= $x88 true)) (= (= $x88 $x54) (= true $x54)))))
  4068 (let ((@x191 (trans @x187 (rewrite (= (= true $x54) $x54)) (= (= $x88 $x54) $x54))))
  4069 (let (($x173 (= $x88 $x54)))
  4070 (let ((@x105 (not-or-elim (mp (asserted $x43) @x102 $x98) (not (= (not $x88) $x54)))))
  4071 (let ((@x192 (mp (mp @x105 (rewrite (= (not (= (not $x88) $x54)) $x173)) $x173) @x191 $x54)))
  4072 (let ((@x457 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x558) $x436)) (monotonicity (symm @x192 (= y$ ?x51)) $x558) $x436)))
  4073 (let ((?x613 (* (- 1) ?x32)))
  4074 (let ((?x614 (+ ?x29 ?x613)))
  4075 (let (($x595 (<= ?x614 (- 1))))
  4076 (let (($x612 (= ?x614 (- 1))))
  4077 (let (($x610 (>= ?x29 (- 1))))
  4078 (let (($x557 (>= ?x585 0)))
  4079 (let (($x559 (= ?x585 0)))
  4080 (let (($x586 (>= ?x32 1)))
  4081 (let (($x589 (not $x586)))
  4082 (let (($x632 (forall ((?v0 Int) )(!(let ((?x115 (nat$ ?v0)))
  4083 (let ((?x116 (of_nat$ ?x115)))
  4084 (let (($x144 (= ?x116 0)))
  4085 (let (($x129 (>= ?v0 0)))
  4086 (or $x129 $x144))))) :pattern ( (nat$ ?v0) )))
  4087 ))
  4088 (let (($x167 (forall ((?v0 Int) )(let ((?x115 (nat$ ?v0)))
  4089 (let ((?x116 (of_nat$ ?x115)))
  4090 (let (($x144 (= ?x116 0)))
  4091 (let (($x129 (>= ?v0 0)))
  4092 (or $x129 $x144))))))
  4093 ))
  4094 (let ((?x115 (nat$ ?0)))
  4095 (let ((?x116 (of_nat$ ?x115)))
  4096 (let (($x144 (= ?x116 0)))
  4097 (let (($x129 (>= ?0 0)))
  4098 (let (($x164 (or $x129 $x144)))
  4099 (let (($x146 (forall ((?v0 Int) )(let ((?x115 (nat$ ?v0)))
  4100 (let ((?x116 (of_nat$ ?x115)))
  4101 (let (($x144 (= ?x116 0)))
  4102 (let (($x143 (< ?v0 0)))
  4103 (=> $x143 $x144))))))
  4104 ))
  4105 (let (($x152 (forall ((?v0 Int) )(let ((?x115 (nat$ ?v0)))
  4106 (let ((?x116 (of_nat$ ?x115)))
  4107 (let (($x144 (= ?x116 0)))
  4108 (let (($x143 (< ?v0 0)))
  4109 (let (($x148 (not $x143)))
  4110 (or $x148 $x144)))))))
  4111 ))
  4112 (let ((@x159 (monotonicity (rewrite (= (< ?0 0) (not $x129))) (= (not (< ?0 0)) (not (not $x129))))))
  4113 (let ((@x163 (trans @x159 (rewrite (= (not (not $x129)) $x129)) (= (not (< ?0 0)) $x129))))
  4114 (let ((@x169 (quant-intro (monotonicity @x163 (= (or (not (< ?0 0)) $x144) $x164)) (= $x152 $x167))))
  4115 (let ((@x151 (rewrite (= (=> (< ?0 0) $x144) (or (not (< ?0 0)) $x144)))))
  4116 (let ((@x172 (mp (asserted $x146) (trans (quant-intro @x151 (= $x146 $x152)) @x169 (= $x146 $x167)) $x167)))
  4117 (let ((@x637 (mp (mp~ @x172 (nnf-pos (refl (~ $x164 $x164)) (~ $x167 $x167)) $x167) (quant-intro (refl (= $x164 $x164)) (= $x167 $x632)) $x632)))
  4118 (let (($x601 (not $x632)))
  4119 (let (($x564 (or $x601 $x586 $x559)))
  4120 (let ((@x588 (rewrite (= (>= ?x48 0) $x586))))
  4121 (let ((@x394 (monotonicity (monotonicity @x588 (= (or (>= ?x48 0) $x559) (or $x586 $x559))) (= (or $x601 (or (>= ?x48 0) $x559)) (or $x601 (or $x586 $x559))))))
  4122 (let ((@x554 (trans @x394 (rewrite (= (or $x601 (or $x586 $x559)) $x564)) (= (or $x601 (or (>= ?x48 0) $x559)) $x564))))
  4123 (let ((@x555 (mp ((_ quant-inst (+ (- 1) ?x32)) (or $x601 (or (>= ?x48 0) $x559))) @x554 $x564)))
  4124 (let ((@x539 (unit-resolution @x555 @x637 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x589 (not $x88))) @x106 $x589) $x559)))
  4125 (let ((@x545 (unit-resolution ((_ th-lemma arith assign-bounds 1 1) (or $x610 (not $x557) (not $x436))) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x559) $x557)) @x539 $x557) @x457 $x610)))
  4126 (let (($x605 (not $x610)))
  4127 (let (($x616 (or $x605 $x612)))
  4128 (let (($x626 (forall ((?v0 Int) )(!(let ((?x115 (nat$ ?v0)))
  4129 (let ((?x116 (of_nat$ ?x115)))
  4130 (let (($x117 (= ?x116 ?v0)))
  4131 (let (($x129 (>= ?v0 0)))
  4132 (let (($x131 (not $x129)))
  4133 (or $x131 $x117)))))) :pattern ( (nat$ ?v0) )))
  4134 ))
  4135 (let (($x137 (forall ((?v0 Int) )(let ((?x115 (nat$ ?v0)))
  4136 (let ((?x116 (of_nat$ ?x115)))
  4137 (let (($x117 (= ?x116 ?v0)))
  4138 (let (($x129 (>= ?v0 0)))
  4139 (let (($x131 (not $x129)))
  4140 (or $x131 $x117)))))))
  4141 ))
  4142 (let ((@x628 (refl (= (or (not $x129) (= ?x116 ?0)) (or (not $x129) (= ?x116 ?0))))))
  4143 (let ((@x185 (refl (~ (or (not $x129) (= ?x116 ?0)) (or (not $x129) (= ?x116 ?0))))))
  4144 (let (($x119 (forall ((?v0 Int) )(let ((?x115 (nat$ ?v0)))
  4145 (let ((?x116 (of_nat$ ?x115)))
  4146 (let (($x117 (= ?x116 ?v0)))
  4147 (let (($x114 (<= 0 ?v0)))
  4148 (=> $x114 $x117))))))
  4149 ))
  4150 (let (($x125 (forall ((?v0 Int) )(let ((?x115 (nat$ ?v0)))
  4151 (let ((?x116 (of_nat$ ?x115)))
  4152 (let (($x117 (= ?x116 ?v0)))
  4153 (or (not (<= 0 ?v0)) $x117)))))
  4154 ))
  4155 (let (($x117 (= ?x116 ?0)))
  4156 (let (($x131 (not $x129)))
  4157 (let (($x134 (or $x131 $x117)))
  4158 (let (($x122 (or (not (<= 0 ?0)) $x117)))
  4159 (let ((@x133 (monotonicity (rewrite (= (<= 0 ?0) $x129)) (= (not (<= 0 ?0)) $x131))))
  4160 (let ((@x127 (quant-intro (rewrite (= (=> (<= 0 ?0) $x117) $x122)) (= $x119 $x125))))
  4161 (let ((@x141 (trans @x127 (quant-intro (monotonicity @x133 (= $x122 $x134)) (= $x125 $x137)) (= $x119 $x137))))
  4162 (let ((@x196 (mp~ (mp (asserted $x119) @x141 $x137) (nnf-pos @x185 (~ $x137 $x137)) $x137)))
  4163 (let ((@x631 (mp @x196 (quant-intro @x628 (= $x137 $x626)) $x626)))
  4164 (let (($x269 (not $x626)))
  4165 (let (($x607 (or $x269 $x605 $x612)))
  4166 (let (($x273 (= ?x32 ?x30)))
  4167 (let (($x291 (>= ?x30 0)))
  4168 (let (($x292 (not $x291)))
  4169 (let (($x609 (or $x292 $x273)))
  4170 (let (($x271 (or $x269 $x609)))
  4171 (let ((@x268 (monotonicity (monotonicity (rewrite (= $x291 $x610)) (= $x292 $x605)) (rewrite (= $x273 $x612)) (= $x609 $x616))))
  4172 (let ((@x593 (trans (monotonicity @x268 (= $x271 (or $x269 $x616))) (rewrite (= (or $x269 $x616) $x607)) (= $x271 $x607))))
  4173 (let ((@x594 (mp ((_ quant-inst (+ 1 ?x29)) $x271) @x593 $x607)))
  4174 (let ((@x538 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x612) $x595)) (unit-resolution (unit-resolution @x594 @x631 $x616) @x545 $x612) $x595)))
  4175 ((_ th-lemma arith farkas 1 -1 -1 1) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x559) $x557)) @x539 $x557) @x106 @x538 @x457 false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  4176 
  4177 8704d70b06a6aa746ec0e023752eaa0b7eb0df18 78 0
  4178 unsat
  4179 ((set-logic AUFLIA)
  4180 (proof
  4181 (let ((?x37 (* (- 1) x$)))
  4182 (let (($x55 (>= x$ 0)))
  4183 (let ((?x62 (ite $x55 x$ ?x37)))
  4184 (let ((?x554 (* (- 1) ?x62)))
  4185 (let ((?x217 (+ ?x37 ?x554)))
  4186 (let (($x562 (<= ?x217 0)))
  4187 (let (($x249 (= ?x37 ?x62)))
  4188 (let (($x56 (not $x55)))
  4189 (let (($x163 (= x$ ?x62)))
  4190 (let ((@x559 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x163) (<= (+ x$ ?x554) 0))) (unit-resolution (def-axiom (or $x56 $x163)) (hypothesis $x55) $x163) (<= (+ x$ ?x554) 0))))
  4191 (let (($x254 (>= ?x62 0)))
  4192 (let (($x255 (not $x254)))
  4193 (let (($x588 (forall ((?v0 Int) )(!(let ((?x90 (nat$ ?v0)))
  4194 (let ((?x91 (of_nat$ ?x90)))
  4195 (let (($x92 (= ?x91 ?v0)))
  4196 (let (($x104 (>= ?v0 0)))
  4197 (let (($x106 (not $x104)))
  4198 (or $x106 $x92)))))) :pattern ( (nat$ ?v0) )))
  4199 ))
  4200 (let (($x112 (forall ((?v0 Int) )(let ((?x90 (nat$ ?v0)))
  4201 (let ((?x91 (of_nat$ ?x90)))
  4202 (let (($x92 (= ?x91 ?v0)))
  4203 (let (($x104 (>= ?v0 0)))
  4204 (let (($x106 (not $x104)))
  4205 (or $x106 $x92)))))))
  4206 ))
  4207 (let ((?x90 (nat$ ?0)))
  4208 (let ((?x91 (of_nat$ ?x90)))
  4209 (let (($x92 (= ?x91 ?0)))
  4210 (let (($x104 (>= ?0 0)))
  4211 (let (($x106 (not $x104)))
  4212 (let (($x109 (or $x106 $x92)))
  4213 (let (($x94 (forall ((?v0 Int) )(let ((?x90 (nat$ ?v0)))
  4214 (let ((?x91 (of_nat$ ?x90)))
  4215 (let (($x92 (= ?x91 ?v0)))
  4216 (let (($x89 (<= 0 ?v0)))
  4217 (=> $x89 $x92))))))
  4218 ))
  4219 (let (($x100 (forall ((?v0 Int) )(let ((?x90 (nat$ ?v0)))
  4220 (let ((?x91 (of_nat$ ?x90)))
  4221 (let (($x92 (= ?x91 ?v0)))
  4222 (or (not (<= 0 ?v0)) $x92)))))
  4223 ))
  4224 (let ((@x108 (monotonicity (rewrite (= (<= 0 ?0) $x104)) (= (not (<= 0 ?0)) $x106))))
  4225 (let ((@x114 (quant-intro (monotonicity @x108 (= (or (not (<= 0 ?0)) $x92) $x109)) (= $x100 $x112))))
  4226 (let ((@x99 (rewrite (= (=> (<= 0 ?0) $x92) (or (not (<= 0 ?0)) $x92)))))
  4227 (let ((@x117 (mp (asserted $x94) (trans (quant-intro @x99 (= $x94 $x100)) @x114 (= $x94 $x112)) $x112)))
  4228 (let ((@x593 (mp (mp~ @x117 (nnf-pos (refl (~ $x109 $x109)) (~ $x112 $x112)) $x112) (quant-intro (refl (= $x109 $x109)) (= $x112 $x588)) $x588)))
  4229 (let ((?x67 (nat$ ?x62)))
  4230 (let ((?x70 (of_nat$ ?x67)))
  4231 (let (($x73 (= ?x70 ?x62)))
  4232 (let (($x76 (not $x73)))
  4233 (let (($x28 (< x$ 0)))
  4234 (let ((?x30 (ite $x28 (- x$) x$)))
  4235 (let (($x34 (not (= (of_nat$ (nat$ ?x30)) ?x30))))
  4236 (let (($x77 (= (not (= (of_nat$ (nat$ (ite $x28 ?x37 x$))) (ite $x28 ?x37 x$))) $x76)))
  4237 (let ((?x40 (ite $x28 ?x37 x$)))
  4238 (let ((?x43 (nat$ ?x40)))
  4239 (let ((?x46 (of_nat$ ?x43)))
  4240 (let (($x49 (= ?x46 ?x40)))
  4241 (let ((@x66 (trans (monotonicity (rewrite (= $x28 $x56)) (= ?x40 (ite $x56 ?x37 x$))) (rewrite (= (ite $x56 ?x37 x$) ?x62)) (= ?x40 ?x62))))
  4242 (let ((@x75 (monotonicity (monotonicity (monotonicity @x66 (= ?x43 ?x67)) (= ?x46 ?x70)) @x66 (= $x49 $x73))))
  4243 (let ((@x45 (monotonicity (monotonicity (rewrite (= (- x$) ?x37)) (= ?x30 ?x40)) (= (nat$ ?x30) ?x43))))
  4244 (let ((@x51 (monotonicity (monotonicity @x45 (= (of_nat$ (nat$ ?x30)) ?x46)) (monotonicity (rewrite (= (- x$) ?x37)) (= ?x30 ?x40)) (= (= (of_nat$ (nat$ ?x30)) ?x30) $x49))))
  4245 (let ((@x80 (trans (monotonicity @x51 (= $x34 (not $x49))) (monotonicity @x75 $x77) (= $x34 $x76))))
  4246 (let ((@x81 (mp (asserted $x34) @x80 $x76)))
  4247 (let (($x239 (or (not $x588) $x255 $x73)))
  4248 (let ((@x576 (mp ((_ quant-inst (ite $x55 x$ ?x37)) (or (not $x588) (or $x255 $x73))) (rewrite (= (or (not $x588) (or $x255 $x73)) $x239)) $x239)))
  4249 (let ((@x561 ((_ th-lemma arith farkas -1 1 1) (hypothesis $x55) (unit-resolution @x576 @x81 @x593 $x255) @x559 false)))
  4250 (let ((@x198 (lemma @x561 $x56)))
  4251 (let ((@x566 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x249) $x562)) (unit-resolution (def-axiom (or $x55 $x249)) @x198 $x249) $x562)))
  4252 (let (($x578 (<= ?x62 0)))
  4253 (let ((@x257 (unit-resolution ((_ th-lemma arith farkas 1 1) (or $x578 $x254)) (unit-resolution @x576 @x81 @x593 $x255) $x578)))
  4254 ((_ th-lemma arith farkas 1 1 1) @x257 @x198 @x566 false)))))))))))))))))))))))))))))))))))))))))))))))))))))))
  4255 
  4256 ce85402875b83dc2f06a381810d29a2061933b9f 312 0
  4257 unsat
  4258 ((set-logic AUFLIA)
  4259 (declare-fun ?v1!0 (Nat$) Nat$)
  4260 (proof
  4261 (let ((?x89 (of_nat$ m$)))
  4262 (let ((?x90 (* 4 ?x89)))
  4263 (let ((?x98 (+ 1 ?x90)))
  4264 (let ((?x101 (nat$ ?x98)))
  4265 (let ((?x295 (of_nat$ ?x101)))
  4266 (let ((?x598 (* (- 1) ?x295)))
  4267 (let ((?x599 (+ ?x90 ?x598)))
  4268 (let (($x574 (>= ?x599 (- 1))))
  4269 (let (($x597 (= ?x599 (- 1))))
  4270 (let (($x610 (>= ?x89 0)))
  4271 (let (($x380 (<= ?x295 1)))
  4272 (let (($x687 (not $x380)))
  4273 (let (($x701 (forall ((?v1 Nat$) )(!(let ((?x89 (of_nat$ m$)))
  4274 (let ((?x90 (* 4 ?x89)))
  4275 (let ((?x98 (+ 1 ?x90)))
  4276 (let ((?x101 (nat$ ?x98)))
  4277 (let (($x382 (= ?v1 ?x101)))
  4278 (let ((?x34 (nat$ 1)))
  4279 (let (($x35 (= ?v1 ?x34)))
  4280 (let (($x381 (dvd$ ?v1 ?x101)))
  4281 (let (($x371 (not $x381)))
  4282 (or $x371 $x35 $x382)))))))))) :pattern ( (dvd$ ?v1 (nat$ (+ 1 (* 4 (of_nat$ m$))))) )))
  4283 ))
  4284 (let (($x702 (not $x701)))
  4285 (let (($x357 (or $x380 $x702)))
  4286 (let (($x487 (not $x357)))
  4287 (let (($x104 (prime_nat$ ?x101)))
  4288 (let (($x110 (not $x104)))
  4289 (let (($x697 (or $x110 $x487)))
  4290 (let ((?x703 (?v1!0 ?x101)))
  4291 (let (($x707 (= ?x703 ?x101)))
  4292 (let ((?x34 (nat$ 1)))
  4293 (let (($x706 (= ?x703 ?x34)))
  4294 (let (($x704 (dvd$ ?x703 ?x101)))
  4295 (let (($x705 (not $x704)))
  4296 (let (($x708 (or $x705 $x706 $x707)))
  4297 (let (($x698 (not $x708)))
  4298 (let (($x360 (or $x104 $x380 $x698)))
  4299 (let (($x700 (not $x360)))
  4300 (let (($x369 (not $x697)))
  4301 (let (($x342 (or $x369 $x700)))
  4302 (let (($x684 (not $x342)))
  4303 (let (($x738 (forall ((?v0 Nat$) )(!(let (($x219 (or (not (dvd$ (?v1!0 ?v0) ?v0)) (= (?v1!0 ?v0) (nat$ 1)) (= (?v1!0 ?v0) ?v0))))
  4304 (let (($x220 (not $x219)))
  4305 (let ((?x30 (of_nat$ ?v0)))
  4306 (let (($x65 (<= ?x30 1)))
  4307 (let (($x28 (prime_nat$ ?v0)))
  4308 (let (($x245 (or $x28 $x65 $x220)))
  4309 (let (($x710 (forall ((?v1 Nat$) )(!(let ((?x34 (nat$ 1)))
  4310 (let (($x35 (= ?v1 ?x34)))
  4311 (or (not (dvd$ ?v1 ?v0)) $x35 (= ?v1 ?v0)))) :pattern ( (dvd$ ?v1 ?v0) )))
  4312 ))
  4313 (let (($x200 (not $x28)))
  4314 (not (or (not (or $x200 (not (or $x65 (not $x710))))) (not $x245))))))))))) :pattern ( (prime_nat$ ?v0) ) :pattern ( (of_nat$ ?v0) )))
  4315 ))
  4316 (let (($x290 (forall ((?v0 Nat$) )(let (($x219 (or (not (dvd$ (?v1!0 ?v0) ?v0)) (= (?v1!0 ?v0) (nat$ 1)) (= (?v1!0 ?v0) ?v0))))
  4317 (let (($x220 (not $x219)))
  4318 (let ((?x30 (of_nat$ ?v0)))
  4319 (let (($x65 (<= ?x30 1)))
  4320 (let (($x28 (prime_nat$ ?v0)))
  4321 (let (($x245 (or $x28 $x65 $x220)))
  4322 (let (($x72 (forall ((?v1 Nat$) )(let ((?x34 (nat$ 1)))
  4323 (let (($x35 (= ?v1 ?x34)))
  4324 (or (not (dvd$ ?v1 ?v0)) $x35 (= ?v1 ?v0)))))
  4325 ))
  4326 (let (($x221 (not $x72)))
  4327 (let (($x273 (not (or $x65 $x221))))
  4328 (let (($x200 (not $x28)))
  4329 (let (($x276 (or $x200 $x273)))
  4330 (not (or (not $x276) (not $x245)))))))))))))))
  4331 ))
  4332 (let (($x219 (or (not (dvd$ (?v1!0 ?0) ?0)) (= (?v1!0 ?0) ?x34) (= (?v1!0 ?0) ?0))))
  4333 (let (($x220 (not $x219)))
  4334 (let ((?x30 (of_nat$ ?0)))
  4335 (let (($x65 (<= ?x30 1)))
  4336 (let (($x28 (prime_nat$ ?0)))
  4337 (let (($x245 (or $x28 $x65 $x220)))
  4338 (let (($x710 (forall ((?v1 Nat$) )(!(let ((?x34 (nat$ 1)))
  4339 (let (($x35 (= ?v1 ?x34)))
  4340 (or (not (dvd$ ?v1 ?0)) $x35 (= ?v1 ?0)))) :pattern ( (dvd$ ?v1 ?0) )))
  4341 ))
  4342 (let (($x200 (not $x28)))
  4343 (let (($x72 (forall ((?v1 Nat$) )(let ((?x34 (nat$ 1)))
  4344 (let (($x35 (= ?v1 ?x34)))
  4345 (or (not (dvd$ ?v1 ?0)) $x35 (= ?v1 ?0)))))
  4346 ))
  4347 (let (($x221 (not $x72)))
  4348 (let (($x273 (not (or $x65 $x221))))
  4349 (let (($x276 (or $x200 $x273)))
  4350 (let (($x285 (not (or (not $x276) (not $x245)))))
  4351 (let (($x734 (= $x285 (not (or (not (or $x200 (not (or $x65 (not $x710))))) (not $x245))))))
  4352 (let (($x731 (= (or (not $x276) (not $x245)) (or (not (or $x200 (not (or $x65 (not $x710))))) (not $x245)))))
  4353 (let (($x35 (= ?0 ?x34)))
  4354 (let (($x69 (or (not (dvd$ ?0 ?1)) $x35 (= ?0 ?1))))
  4355 (let ((@x717 (monotonicity (quant-intro (refl (= $x69 $x69)) (= $x72 $x710)) (= $x221 (not $x710)))))
  4356 (let ((@x723 (monotonicity (monotonicity @x717 (= (or $x65 $x221) (or $x65 (not $x710)))) (= $x273 (not (or $x65 (not $x710)))))))
  4357 (let ((@x729 (monotonicity (monotonicity @x723 (= $x276 (or $x200 (not (or $x65 (not $x710)))))) (= (not $x276) (not (or $x200 (not (or $x65 (not $x710)))))))))
  4358 (let ((@x740 (quant-intro (monotonicity (monotonicity @x729 $x731) $x734) (= $x290 $x738))))
  4359 (let (($x253 (forall ((?v0 Nat$) )(let (($x219 (or (not (dvd$ (?v1!0 ?v0) ?v0)) (= (?v1!0 ?v0) (nat$ 1)) (= (?v1!0 ?v0) ?v0))))
  4360 (let (($x220 (not $x219)))
  4361 (let ((?x30 (of_nat$ ?v0)))
  4362 (let (($x65 (<= ?x30 1)))
  4363 (let (($x28 (prime_nat$ ?v0)))
  4364 (let (($x245 (or $x28 $x65 $x220)))
  4365 (let (($x72 (forall ((?v1 Nat$) )(let ((?x34 (nat$ 1)))
  4366 (let (($x35 (= ?v1 ?x34)))
  4367 (or (not (dvd$ ?v1 ?v0)) $x35 (= ?v1 ?v0)))))
  4368 ))
  4369 (let (($x66 (not $x65)))
  4370 (let (($x75 (and $x66 $x72)))
  4371 (let (($x200 (not $x28)))
  4372 (let (($x229 (or $x200 $x75)))
  4373 (and $x229 $x245)))))))))))))
  4374 ))
  4375 (let ((@x278 (monotonicity (rewrite (= (and (not $x65) $x72) $x273)) (= (or $x200 (and (not $x65) $x72)) $x276))))
  4376 (let ((@x281 (monotonicity @x278 (= (and (or $x200 (and (not $x65) $x72)) $x245) (and $x276 $x245)))))
  4377 (let ((@x289 (trans @x281 (rewrite (= (and $x276 $x245) $x285)) (= (and (or $x200 (and (not $x65) $x72)) $x245) $x285))))
  4378 (let (($x233 (forall ((?v0 Nat$) )(let (($x219 (or (not (dvd$ (?v1!0 ?v0) ?v0)) (= (?v1!0 ?v0) (nat$ 1)) (= (?v1!0 ?v0) ?v0))))
  4379 (let (($x220 (not $x219)))
  4380 (let ((?x30 (of_nat$ ?v0)))
  4381 (let (($x65 (<= ?x30 1)))
  4382 (let (($x66 (not $x65)))
  4383 (let (($x211 (not $x66)))
  4384 (let (($x224 (or $x211 $x220)))
  4385 (let (($x28 (prime_nat$ ?v0)))
  4386 (let (($x228 (or $x28 $x224)))
  4387 (let (($x72 (forall ((?v1 Nat$) )(let ((?x34 (nat$ 1)))
  4388 (let (($x35 (= ?v1 ?x34)))
  4389 (or (not (dvd$ ?v1 ?v0)) $x35 (= ?v1 ?v0)))))
  4390 ))
  4391 (let (($x75 (and $x66 $x72)))
  4392 (let (($x200 (not $x28)))
  4393 (let (($x229 (or $x200 $x75)))
  4394 (and $x229 $x228)))))))))))))))
  4395 ))
  4396 (let (($x66 (not $x65)))
  4397 (let (($x75 (and $x66 $x72)))
  4398 (let (($x229 (or $x200 $x75)))
  4399 (let (($x250 (and $x229 $x245)))
  4400 (let (($x211 (not $x66)))
  4401 (let (($x224 (or $x211 $x220)))
  4402 (let (($x228 (or $x28 $x224)))
  4403 (let (($x230 (and $x229 $x228)))
  4404 (let ((@x244 (monotonicity (monotonicity (rewrite (= $x211 $x65)) (= $x224 (or $x65 $x220))) (= $x228 (or $x28 (or $x65 $x220))))))
  4405 (let ((@x249 (trans @x244 (rewrite (= (or $x28 (or $x65 $x220)) $x245)) (= $x228 $x245))))
  4406 (let (($x81 (forall ((?v0 Nat$) )(let (($x72 (forall ((?v1 Nat$) )(let ((?x34 (nat$ 1)))
  4407 (let (($x35 (= ?v1 ?x34)))
  4408 (or (not (dvd$ ?v1 ?v0)) $x35 (= ?v1 ?v0)))))
  4409 ))
  4410 (let ((?x30 (of_nat$ ?v0)))
  4411 (let (($x65 (<= ?x30 1)))
  4412 (let (($x66 (not $x65)))
  4413 (let (($x75 (and $x66 $x72)))
  4414 (let (($x28 (prime_nat$ ?v0)))
  4415 (= $x28 $x75))))))))
  4416 ))
  4417 (let ((@x227 (nnf-neg (refl (~ $x211 $x211)) (sk (~ $x221 $x220)) (~ (not $x75) $x224))))
  4418 (let ((@x210 (monotonicity (refl (~ $x66 $x66)) (nnf-pos (refl (~ $x69 $x69)) (~ $x72 $x72)) (~ $x75 $x75))))
  4419 (let ((@x232 (nnf-pos (refl (~ $x28 $x28)) (refl (~ $x200 $x200)) @x210 @x227 (~ (= $x28 $x75) $x230))))
  4420 (let (($x42 (forall ((?v0 Nat$) )(let (($x39 (forall ((?v1 Nat$) )(let (($x33 (dvd$ ?v1 ?v0)))
  4421 (=> $x33 (or (= ?v1 (nat$ 1)) (= ?v1 ?v0)))))
  4422 ))
  4423 (let ((?x30 (of_nat$ ?v0)))
  4424 (let (($x31 (< 1 ?x30)))
  4425 (let (($x28 (prime_nat$ ?v0)))
  4426 (= $x28 (and $x31 $x39)))))))
  4427 ))
  4428 (let (($x62 (forall ((?v0 Nat$) )(let (($x48 (forall ((?v1 Nat$) )(or (not (dvd$ ?v1 ?v0)) (or (= ?v1 (nat$ 1)) (= ?v1 ?v0))))
  4429 ))
  4430 (let ((?x30 (of_nat$ ?v0)))
  4431 (let (($x31 (< 1 ?x30)))
  4432 (let (($x51 (and $x31 $x48)))
  4433 (let (($x28 (prime_nat$ ?v0)))
  4434 (= $x28 $x51)))))))
  4435 ))
  4436 (let (($x78 (= $x28 $x75)))
  4437 (let (($x48 (forall ((?v1 Nat$) )(or (not (dvd$ ?v1 ?0)) (or (= ?v1 (nat$ 1)) (= ?v1 ?0))))
  4438 ))
  4439 (let (($x31 (< 1 ?x30)))
  4440 (let (($x51 (and $x31 $x48)))
  4441 (let (($x57 (= $x28 $x51)))
  4442 (let ((@x71 (rewrite (= (or (not (dvd$ ?0 ?1)) (or $x35 (= ?0 ?1))) $x69))))
  4443 (let ((@x77 (monotonicity (rewrite (= $x31 $x66)) (quant-intro @x71 (= $x48 $x72)) (= $x51 $x75))))
  4444 (let (($x39 (forall ((?v1 Nat$) )(let (($x33 (dvd$ ?v1 ?0)))
  4445 (=> $x33 (or (= ?v1 (nat$ 1)) (= ?v1 ?0)))))
  4446 ))
  4447 (let (($x41 (= $x28 (and $x31 $x39))))
  4448 (let (($x45 (or (not (dvd$ ?0 ?1)) (or $x35 (= ?0 ?1)))))
  4449 (let ((@x50 (quant-intro (rewrite (= (=> (dvd$ ?0 ?1) (or $x35 (= ?0 ?1))) $x45)) (= $x39 $x48))))
  4450 (let ((@x56 (monotonicity (monotonicity @x50 (= (and $x31 $x39) $x51)) (= $x41 (= $x28 $x51)))))
  4451 (let ((@x64 (quant-intro (trans @x56 (rewrite (= (= $x28 $x51) $x57)) (= $x41 $x57)) (= $x42 $x62))))
  4452 (let ((@x85 (trans @x64 (quant-intro (monotonicity @x77 (= $x57 $x78)) (= $x62 $x81)) (= $x42 $x81))))
  4453 (let ((@x236 (mp~ (mp (asserted $x42) @x85 $x81) (nnf-pos @x232 (~ $x81 $x233)) $x233)))
  4454 (let ((@x256 (mp @x236 (quant-intro (monotonicity @x249 (= $x230 $x250)) (= $x233 $x253)) $x253)))
  4455 (let ((@x741 (mp (mp @x256 (quant-intro @x289 (= $x253 $x290)) $x290) @x740 $x738)))
  4456 (let (($x348 (or (not $x738) $x684)))
  4457 (let ((@x685 ((_ quant-inst (nat$ ?x98)) $x348)))
  4458 (let ((@x569 (unit-resolution (def-axiom (or $x342 $x697)) (unit-resolution @x685 @x741 $x684) $x697)))
  4459 (let (($x125 (not (or $x110 (>= ?x89 1)))))
  4460 (let (($x94 (<= 1 ?x89)))
  4461 (let (($x95 (=> (prime_nat$ (nat$ (+ ?x90 1))) $x94)))
  4462 (let (($x96 (not $x95)))
  4463 (let ((@x124 (monotonicity (rewrite (= $x94 (>= ?x89 1))) (= (or $x110 $x94) (or $x110 (>= ?x89 1))))))
  4464 (let ((@x103 (monotonicity (rewrite (= (+ ?x90 1) ?x98)) (= (nat$ (+ ?x90 1)) ?x101))))
  4465 (let ((@x109 (monotonicity (monotonicity @x103 (= (prime_nat$ (nat$ (+ ?x90 1))) $x104)) (= $x95 (=> $x104 $x94)))))
  4466 (let ((@x115 (trans @x109 (rewrite (= (=> $x104 $x94) (or $x110 $x94))) (= $x95 (or $x110 $x94)))))
  4467 (let ((@x129 (trans (monotonicity @x115 (= $x96 (not (or $x110 $x94)))) (monotonicity @x124 (= (not (or $x110 $x94)) $x125)) (= $x96 $x125))))
  4468 (let ((@x131 (not-or-elim (mp (asserted $x96) @x129 $x125) $x104)))
  4469 (let ((@x572 (unit-resolution (unit-resolution (def-axiom (or $x369 $x110 $x487)) @x131 (or $x369 $x487)) @x569 $x487)))
  4470 (let ((@x530 (unit-resolution ((_ th-lemma arith farkas 1 1) (or (not (<= ?x295 0)) $x380)) (unit-resolution (def-axiom (or $x357 $x687)) @x572 $x687) (not (<= ?x295 0)))))
  4471 (let ((@x561 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not (= ?x295 0)) (<= ?x295 0))) @x530 (not (= ?x295 0)))))
  4472 (let (($x575 (= ?x295 0)))
  4473 (let (($x577 (or $x610 $x575)))
  4474 (let (($x756 (forall ((?v0 Int) )(!(let ((?x140 (nat$ ?v0)))
  4475 (let ((?x141 (of_nat$ ?x140)))
  4476 (let (($x169 (= ?x141 0)))
  4477 (let (($x155 (>= ?v0 0)))
  4478 (or $x155 $x169))))) :pattern ( (nat$ ?v0) )))
  4479 ))
  4480 (let (($x192 (forall ((?v0 Int) )(let ((?x140 (nat$ ?v0)))
  4481 (let ((?x141 (of_nat$ ?x140)))
  4482 (let (($x169 (= ?x141 0)))
  4483 (let (($x155 (>= ?v0 0)))
  4484 (or $x155 $x169))))))
  4485 ))
  4486 (let ((?x140 (nat$ ?0)))
  4487 (let ((?x141 (of_nat$ ?x140)))
  4488 (let (($x169 (= ?x141 0)))
  4489 (let (($x155 (>= ?0 0)))
  4490 (let (($x189 (or $x155 $x169)))
  4491 (let (($x171 (forall ((?v0 Int) )(let ((?x140 (nat$ ?v0)))
  4492 (let ((?x141 (of_nat$ ?x140)))
  4493 (let (($x169 (= ?x141 0)))
  4494 (let (($x168 (< ?v0 0)))
  4495 (=> $x168 $x169))))))
  4496 ))
  4497 (let (($x177 (forall ((?v0 Int) )(let ((?x140 (nat$ ?v0)))
  4498 (let ((?x141 (of_nat$ ?x140)))
  4499 (let (($x169 (= ?x141 0)))
  4500 (let (($x168 (< ?v0 0)))
  4501 (let (($x173 (not $x168)))
  4502 (or $x173 $x169)))))))
  4503 ))
  4504 (let ((@x184 (monotonicity (rewrite (= (< ?0 0) (not $x155))) (= (not (< ?0 0)) (not (not $x155))))))
  4505 (let ((@x188 (trans @x184 (rewrite (= (not (not $x155)) $x155)) (= (not (< ?0 0)) $x155))))
  4506 (let ((@x194 (quant-intro (monotonicity @x188 (= (or (not (< ?0 0)) $x169) $x189)) (= $x177 $x192))))
  4507 (let ((@x176 (rewrite (= (=> (< ?0 0) $x169) (or (not (< ?0 0)) $x169)))))
  4508 (let ((@x197 (mp (asserted $x171) (trans (quant-intro @x176 (= $x171 $x177)) @x194 (= $x171 $x192)) $x192)))
  4509 (let ((@x761 (mp (mp~ @x197 (nnf-pos (refl (~ $x189 $x189)) (~ $x192 $x192)) $x192) (quant-intro (refl (= $x189 $x189)) (= $x192 $x756)) $x756)))
  4510 (let (($x580 (not $x756)))
  4511 (let (($x581 (or $x580 $x610 $x575)))
  4512 (let ((@x612 (rewrite (= (>= ?x98 0) $x610))))
  4513 (let ((@x579 (monotonicity @x612 (= (or (>= ?x98 0) $x575) $x577))))
  4514 (let ((@x555 (monotonicity @x579 (= (or $x580 (or (>= ?x98 0) $x575)) (or $x580 $x577)))))
  4515 (let ((@x564 (trans @x555 (rewrite (= (or $x580 $x577) $x581)) (= (or $x580 (or (>= ?x98 0) $x575)) $x581))))
  4516 (let ((@x565 (mp ((_ quant-inst (+ 1 ?x90)) (or $x580 (or (>= ?x98 0) $x575))) @x564 $x581)))
  4517 (let (($x613 (not $x610)))
  4518 (let (($x600 (or $x613 $x597)))
  4519 (let (($x750 (forall ((?v0 Int) )(!(let ((?x140 (nat$ ?v0)))
  4520 (let ((?x141 (of_nat$ ?x140)))
  4521 (let (($x142 (= ?x141 ?v0)))
  4522 (let (($x155 (>= ?v0 0)))
  4523 (let (($x156 (not $x155)))
  4524 (or $x156 $x142)))))) :pattern ( (nat$ ?v0) )))
  4525 ))
  4526 (let (($x162 (forall ((?v0 Int) )(let ((?x140 (nat$ ?v0)))
  4527 (let ((?x141 (of_nat$ ?x140)))
  4528 (let (($x142 (= ?x141 ?v0)))
  4529 (let (($x155 (>= ?v0 0)))
  4530 (let (($x156 (not $x155)))
  4531 (or $x156 $x142)))))))
  4532 ))
  4533 (let ((@x752 (refl (= (or (not $x155) (= ?x141 ?0)) (or (not $x155) (= ?x141 ?0))))))
  4534 (let ((@x263 (refl (~ (or (not $x155) (= ?x141 ?0)) (or (not $x155) (= ?x141 ?0))))))
  4535 (let (($x144 (forall ((?v0 Int) )(let ((?x140 (nat$ ?v0)))
  4536 (let ((?x141 (of_nat$ ?x140)))
  4537 (let (($x142 (= ?x141 ?v0)))
  4538 (let (($x139 (<= 0 ?v0)))
  4539 (=> $x139 $x142))))))
  4540 ))
  4541 (let (($x150 (forall ((?v0 Int) )(let ((?x140 (nat$ ?v0)))
  4542 (let ((?x141 (of_nat$ ?x140)))
  4543 (let (($x142 (= ?x141 ?v0)))
  4544 (or (not (<= 0 ?v0)) $x142)))))
  4545 ))
  4546 (let (($x142 (= ?x141 ?0)))
  4547 (let (($x156 (not $x155)))
  4548 (let (($x159 (or $x156 $x142)))
  4549 (let (($x147 (or (not (<= 0 ?0)) $x142)))
  4550 (let ((@x158 (monotonicity (rewrite (= (<= 0 ?0) $x155)) (= (not (<= 0 ?0)) $x156))))
  4551 (let ((@x152 (quant-intro (rewrite (= (=> (<= 0 ?0) $x142) $x147)) (= $x144 $x150))))
  4552 (let ((@x166 (trans @x152 (quant-intro (monotonicity @x158 (= $x147 $x159)) (= $x150 $x162)) (= $x144 $x162))))
  4553 (let ((@x266 (mp~ (mp (asserted $x144) @x166 $x162) (nnf-pos @x263 (~ $x162 $x162)) $x162)))
  4554 (let ((@x755 (mp @x266 (quant-intro @x752 (= $x162 $x750)) $x750)))
  4555 (let (($x603 (not $x750)))
  4556 (let (($x604 (or $x603 $x613 $x597)))
  4557 (let (($x608 (= ?x295 ?x98)))
  4558 (let (($x618 (>= ?x98 0)))
  4559 (let (($x619 (not $x618)))
  4560 (let (($x609 (or $x619 $x608)))
  4561 (let (($x605 (or $x603 $x609)))
  4562 (let ((@x602 (monotonicity (monotonicity @x612 (= $x619 $x613)) (rewrite (= $x608 $x597)) (= $x609 $x600))))
  4563 (let ((@x590 (trans (monotonicity @x602 (= $x605 (or $x603 $x600))) (rewrite (= (or $x603 $x600) $x604)) (= $x605 $x604))))
  4564 (let ((@x591 (mp ((_ quant-inst (+ 1 ?x90)) $x605) @x590 $x604)))
  4565 (let ((@x532 (unit-resolution (unit-resolution @x591 @x755 $x600) (unit-resolution (unit-resolution @x565 @x761 $x577) @x561 $x610) $x597)))
  4566 (let ((@x133 (not-or-elim (mp (asserted $x96) @x129 $x125) (not (>= ?x89 1)))))
  4567 ((_ th-lemma arith farkas -4 1 1) @x133 (unit-resolution (def-axiom (or $x357 $x687)) @x572 $x687) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x597) $x574)) @x532 $x574) false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  4568 
  4569 5e90e9139eb4e9a7c2678bca8dda6cda05861f4c 23 0
  4570 unsat
  4571 ((set-logic AUFLIA)
  4572 (proof
  4573 (let (($x40 (= x$ a$)))
  4574 (let ((?x36 (pair$ x$ y$)))
  4575 (let ((?x37 (fst$ ?x36)))
  4576 (let (($x39 (= ?x37 a$)))
  4577 (let ((@x50 (monotonicity (rewrite (= (=> $x39 $x40) (or (not $x39) $x40))) (= (not (=> $x39 $x40)) (not (or (not $x39) $x40))))))
  4578 (let ((@x51 (not-or-elim (mp (asserted (not (=> $x39 $x40))) @x50 (not (or (not $x39) $x40))) $x39)))
  4579 (let (($x56 (= ?x37 x$)))
  4580 (let (($x478 (forall ((?v0 A$) (?v1 B$) )(!(= (fst$ (pair$ ?v0 ?v1)) ?v0) :pattern ( (pair$ ?v0 ?v1) )))
  4581 ))
  4582 (let (($x32 (forall ((?v0 A$) (?v1 B$) )(= (fst$ (pair$ ?v0 ?v1)) ?v0))
  4583 ))
  4584 (let (($x31 (= (fst$ (pair$ ?1 ?0)) ?1)))
  4585 (let ((@x55 (mp~ (asserted $x32) (nnf-pos (refl (~ $x31 $x31)) (~ $x32 $x32)) $x32)))
  4586 (let ((@x483 (mp @x55 (quant-intro (refl (= $x31 $x31)) (= $x32 $x478)) $x478)))
  4587 (let (($x62 (or (not $x478) $x56)))
  4588 (let ((@x149 ((_ quant-inst x$ y$) $x62)))
  4589 (let ((@x150 (trans (symm (unit-resolution @x149 @x483 $x56) (= x$ ?x37)) @x51 $x40)))
  4590 (let ((@x54 (not-or-elim (mp (asserted (not (=> $x39 $x40))) @x50 (not (or (not $x39) $x40))) (not $x40))))
  4591 (unit-resolution @x54 @x150 false)))))))))))))))))))
  4592 
  4593 53d3d89ffb6e574b15fcea58a111b4eecba9beb5 42 0
  4594 unsat
  4595 ((set-logic AUFLIA)
  4596 (proof
  4597 (let ((?x59 (snd$a p2$)))
  4598 (let ((?x58 (fst$a p1$)))
  4599 (let (($x60 (= ?x58 ?x59)))
  4600 (let ((?x55 (pair$ y$ x$)))
  4601 (let (($x56 (= p2$ ?x55)))
  4602 (let ((?x52 (pair$a x$ y$)))
  4603 (let (($x53 (= p1$ ?x52)))
  4604 (let (($x57 (and $x53 $x56)))
  4605 (let ((@x70 (monotonicity (rewrite (= (=> $x57 $x60) (or (not $x57) $x60))) (= (not (=> $x57 $x60)) (not (or (not $x57) $x60))))))
  4606 (let ((@x71 (not-or-elim (mp (asserted (not (=> $x57 $x60))) @x70 (not (or (not $x57) $x60))) $x57)))
  4607 (let ((@x74 (and-elim @x71 $x56)))
  4608 (let ((@x504 (symm (monotonicity @x74 (= ?x59 (snd$a ?x55))) (= (snd$a ?x55) ?x59))))
  4609 (let ((?x100 (snd$a ?x55)))
  4610 (let (($x185 (= ?x100 x$)))
  4611 (let (($x534 (forall ((?v0 B$) (?v1 A$) )(!(= (snd$a (pair$ ?v0 ?v1)) ?v1) :pattern ( (pair$ ?v0 ?v1) )))
  4612 ))
  4613 (let (($x47 (forall ((?v0 B$) (?v1 A$) )(= (snd$a (pair$ ?v0 ?v1)) ?v1))
  4614 ))
  4615 (let (($x46 (= (snd$a (pair$ ?1 ?0)) ?0)))
  4616 (let ((@x96 (mp~ (asserted $x47) (nnf-pos (refl (~ $x46 $x46)) (~ $x47 $x47)) $x47)))
  4617 (let ((@x539 (mp @x96 (quant-intro (refl (= $x46 $x46)) (= $x47 $x534)) $x534)))
  4618 (let (($x190 (or (not $x534) $x185)))
  4619 (let ((@x191 ((_ quant-inst y$ x$) $x190)))
  4620 (let ((?x187 (fst$a ?x52)))
  4621 (let (($x188 (= ?x187 x$)))
  4622 (let (($x522 (forall ((?v0 A$) (?v1 B$) )(!(= (fst$a (pair$a ?v0 ?v1)) ?v0) :pattern ( (pair$a ?v0 ?v1) )))
  4623 ))
  4624 (let (($x39 (forall ((?v0 A$) (?v1 B$) )(= (fst$a (pair$a ?v0 ?v1)) ?v0))
  4625 ))
  4626 (let (($x38 (= (fst$a (pair$a ?1 ?0)) ?1)))
  4627 (let ((@x90 (mp~ (asserted $x39) (nnf-pos (refl (~ $x38 $x38)) (~ $x39 $x39)) $x39)))
  4628 (let ((@x527 (mp @x90 (quant-intro (refl (= $x38 $x38)) (= $x39 $x522)) $x522)))
  4629 (let (($x162 (or (not $x522) $x188)))
  4630 (let ((@x292 ((_ quant-inst x$ y$) $x162)))
  4631 (let ((@x505 (trans (monotonicity (and-elim @x71 $x53) (= ?x58 ?x187)) (unit-resolution @x292 @x527 $x188) (= ?x58 x$))))
  4632 (let ((@x489 (trans @x505 (symm (unit-resolution @x191 @x539 $x185) (= x$ ?x100)) (= ?x58 ?x100))))
  4633 (let ((@x76 (not-or-elim (mp (asserted (not (=> $x57 $x60))) @x70 (not (or (not $x57) $x60))) (not $x60))))
  4634 (unit-resolution @x76 (trans @x489 @x504 $x60) false))))))))))))))))))))))))))))))))))))
  4635 
  4636 f501ac3814a9ff559897f8057e18657ad1030d2a 60 0
  4637 unsat
  4638 ((set-logic AUFLIA)
  4639 (proof
  4640 (let ((?x69 (fun_app$ f$ i$)))
  4641 (let ((?x60 (fun_upd$ f$)))
  4642 (let ((?x61 (fun_app$b ?x60 i1$)))
  4643 (let ((?x63 (fun_app$a ?x61 v1$)))
  4644 (let ((?x64 (fun_upd$ ?x63)))
  4645 (let ((?x65 (fun_app$b ?x64 i2$)))
  4646 (let ((?x67 (fun_app$a ?x65 v2$)))
  4647 (let ((?x68 (fun_app$ ?x67 i$)))
  4648 (let (($x70 (= ?x68 ?x69)))
  4649 (let ((?x197 (fun_app$ ?x63 i$)))
  4650 (let (($x205 (= ?x197 ?x69)))
  4651 (let (($x204 (= ?x197 v1$)))
  4652 (let (($x53 (= i$ i1$)))
  4653 (let (($x484 (ite $x53 $x204 $x205)))
  4654 (let (($x531 (forall ((?v0 A_b_fun$) (?v1 A$) (?v2 B$) (?v3 A$) )(!(let ((?x46 (fun_app$ ?v0 ?v3)))
  4655 (let ((?x44 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3)))
  4656 (let (($x45 (= ?v3 ?v1)))
  4657 (ite $x45 (= ?x44 ?v2) (= ?x44 ?x46))))) :pattern ( (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3) )))
  4658 ))
  4659 (let (($x102 (forall ((?v0 A_b_fun$) (?v1 A$) (?v2 B$) (?v3 A$) )(let ((?x46 (fun_app$ ?v0 ?v3)))
  4660 (let ((?x44 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3)))
  4661 (let (($x45 (= ?v3 ?v1)))
  4662 (ite $x45 (= ?x44 ?v2) (= ?x44 ?x46))))))
  4663 ))
  4664 (let ((?x46 (fun_app$ ?3 ?0)))
  4665 (let ((?x44 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?3) ?2) ?1) ?0)))
  4666 (let (($x45 (= ?0 ?2)))
  4667 (let (($x97 (ite $x45 (= ?x44 ?1) (= ?x44 ?x46))))
  4668 (let (($x49 (forall ((?v0 A_b_fun$) (?v1 A$) (?v2 B$) (?v3 A$) )(let ((?x44 (fun_app$ (fun_app$a (fun_app$b (fun_upd$ ?v0) ?v1) ?v2) ?v3)))
  4669 (= ?x44 (ite (= ?v3 ?v1) ?v2 (fun_app$ ?v0 ?v3)))))
  4670 ))
  4671 (let ((@x104 (quant-intro (rewrite (= (= ?x44 (ite $x45 ?1 ?x46)) $x97)) (= $x49 $x102))))
  4672 (let ((@x91 (refl (~ (= ?x44 (ite $x45 ?1 ?x46)) (= ?x44 (ite $x45 ?1 ?x46))))))
  4673 (let ((@x105 (mp (mp~ (asserted $x49) (nnf-pos @x91 (~ $x49 $x49)) $x49) @x104 $x102)))
  4674 (let ((@x536 (mp @x105 (quant-intro (refl (= $x97 $x97)) (= $x102 $x531)) $x531)))
  4675 (let (($x171 (not $x531)))
  4676 (let (($x486 (or $x171 $x484)))
  4677 (let ((@x487 ((_ quant-inst f$ i1$ v1$ i$) $x486)))
  4678 (let (($x54 (not $x53)))
  4679 (let (($x56 (= i$ i2$)))
  4680 (let (($x57 (not $x56)))
  4681 (let (($x58 (and $x54 $x57)))
  4682 (let ((@x80 (monotonicity (rewrite (= (=> $x58 $x70) (or (not $x58) $x70))) (= (not (=> $x58 $x70)) (not (or (not $x58) $x70))))))
  4683 (let ((@x81 (not-or-elim (mp (asserted (not (=> $x58 $x70))) @x80 (not (or (not $x58) $x70))) $x58)))
  4684 (let ((@x82 (and-elim @x81 $x54)))
  4685 (let ((@x321 (unit-resolution (def-axiom (or (not $x484) $x53 $x205)) @x82 (or (not $x484) $x205))))
  4686 (let (($x200 (= ?x68 ?x197)))
  4687 (let (($x196 (= ?x68 v2$)))
  4688 (let (($x179 (ite $x56 $x196 $x200)))
  4689 (let (($x301 (or $x171 $x179)))
  4690 (let ((@x511 ((_ quant-inst (fun_app$a ?x61 v1$) i2$ v2$ i$) $x301)))
  4691 (let ((@x84 (and-elim @x81 $x57)))
  4692 (let ((@x466 (unit-resolution (def-axiom (or (not $x179) $x56 $x200)) @x84 (or (not $x179) $x200))))
  4693 (let ((@x470 (trans (unit-resolution @x466 (unit-resolution @x511 @x536 $x179) $x200) (unit-resolution @x321 (unit-resolution @x487 @x536 $x484) $x205) $x70)))
  4694 (let ((@x86 (not-or-elim (mp (asserted (not (=> $x58 $x70))) @x80 (not (or (not $x58) $x70))) (not $x70))))
  4695 (unit-resolution @x86 @x470 false))))))))))))))))))))))))))))))))))))))))))))))))
  4696 
  4697 541ab286f481dab3994e7cef5aa3ab01f0d6487a 24 0
  4698 unsat
  4699 ((set-logic AUFLIA)
  4700 (proof
  4701 (let (($x29 (f$ g$ x$)))
  4702 (let (($x73 (not $x29)))
  4703 (let (($x65 (not (or (= $x29 (fun_app$ g$ x$)) $x29 (fun_app$ g$ x$)))))
  4704 (let (($x32 (= $x29 (and (fun_app$ g$ x$) true))))
  4705 (let (($x37 (not (or $x32 (or (= $x29 true) (= (fun_app$ g$ x$) true))))))
  4706 (let (($x30 (fun_app$ g$ x$)))
  4707 (let (($x44 (= $x29 $x30)))
  4708 (let (($x56 (or $x44 (or $x29 $x30))))
  4709 (let ((@x67 (monotonicity (rewrite (= $x56 (or $x44 $x29 $x30))) (= (not $x56) $x65))))
  4710 (let ((@x55 (monotonicity (rewrite (= (= $x29 true) $x29)) (rewrite (= (= $x30 true) $x30)) (= (or (= $x29 true) (= $x30 true)) (or $x29 $x30)))))
  4711 (let ((@x43 (monotonicity (rewrite (= (and $x30 true) $x30)) (= $x32 (= $x29 $x30)))))
  4712 (let ((@x58 (monotonicity (trans @x43 (rewrite (= (= $x29 $x30) $x44)) (= $x32 $x44)) @x55 (= (or $x32 (or (= $x29 true) (= $x30 true))) $x56))))
  4713 (let ((@x69 (trans (monotonicity @x58 (= $x37 (not $x56))) @x67 (= $x37 $x65))))
  4714 (let ((@x70 (mp (asserted $x37) @x69 $x65)))
  4715 (let ((@x87 (monotonicity (iff-false (not-or-elim @x70 (not $x30)) (= $x30 false)) (= (= $x73 $x30) (= $x73 false)))))
  4716 (let ((@x91 (trans @x87 (rewrite (= (= $x73 false) $x29)) (= (= $x73 $x30) $x29))))
  4717 (let ((@x93 (trans @x91 (iff-false (not-or-elim @x70 $x73) (= $x29 false)) (= (= $x73 $x30) false))))
  4718 (let (($x77 (= $x73 $x30)))
  4719 (let ((@x80 (mp (not-or-elim @x70 (not $x44)) (rewrite (= (not $x44) $x77)) $x77)))
  4720 (mp @x80 @x93 false))))))))))))))))))))))
  4721 
  4722 c6761b6a026c6bf2d28c35e9faf633fc441c84c5 45 0
  4723 unsat
  4724 ((set-logic AUFLIA)
  4725 (proof
  4726 (let ((?x44 (id$ x$)))
  4727 (let (($x46 (= ?x44 x$)))
  4728 (let (($x73 (not $x46)))
  4729 (let (($x47 (id$a true)))
  4730 (let (($x510 (forall ((?v0 Bool) )(!(let (($x33 (id$a ?v0)))
  4731 (= $x33 ?v0)) :pattern ( (id$a ?v0) )))
  4732 ))
  4733 (let (($x40 (forall ((?v0 Bool) )(let (($x33 (id$a ?v0)))
  4734 (= $x33 ?v0)))
  4735 ))
  4736 (let ((@x514 (quant-intro (refl (= (= (id$a ?0) ?0) (= (id$a ?0) ?0))) (= $x40 $x510))))
  4737 (let ((@x69 (nnf-pos (refl (~ (= (id$a ?0) ?0) (= (id$a ?0) ?0))) (~ $x40 $x40))))
  4738 (let (($x35 (forall ((?v0 Bool) )(let (($x33 (id$a ?v0)))
  4739 (= $x33 ?v0)))
  4740 ))
  4741 (let ((@x42 (quant-intro (rewrite (= (= (id$a ?0) ?0) (= (id$a ?0) ?0))) (= $x35 $x40))))
  4742 (let ((@x515 (mp (mp~ (mp (asserted $x35) @x42 $x40) @x69 $x40) @x514 $x510)))
  4743 (let (($x87 (or (not $x510) $x47)))
  4744 (let ((@x176 (monotonicity (rewrite (= (= $x47 true) $x47)) (= (or (not $x510) (= $x47 true)) $x87))))
  4745 (let ((@x179 (trans @x176 (rewrite (= $x87 $x87)) (= (or (not $x510) (= $x47 true)) $x87))))
  4746 (let ((@x495 (unit-resolution (mp ((_ quant-inst true) (or (not $x510) (= $x47 true))) @x179 $x87) @x515 (hypothesis (not $x47)) false)))
  4747 (let (($x71 (or $x73 (not $x47))))
  4748 (let ((@x79 (monotonicity (rewrite (= (and $x46 $x47) (not $x71))) (= (not (and $x46 $x47)) (not (not $x71))))))
  4749 (let ((@x83 (trans @x79 (rewrite (= (not (not $x71)) $x71)) (= (not (and $x46 $x47)) $x71))))
  4750 (let (($x54 (and $x46 $x47)))
  4751 (let (($x57 (not $x54)))
  4752 (let ((@x56 (monotonicity (rewrite (= (= $x47 true) $x47)) (= (and $x46 (= $x47 true)) $x54))))
  4753 (let ((@x62 (mp (asserted (not (and $x46 (= $x47 true)))) (monotonicity @x56 (= (not (and $x46 (= $x47 true))) $x57)) $x57)))
  4754 (let ((@x84 (mp @x62 @x83 $x71)))
  4755 (let (($x503 (forall ((?v0 A$) )(!(let ((?x28 (id$ ?v0)))
  4756 (= ?x28 ?v0)) :pattern ( (id$ ?v0) )))
  4757 ))
  4758 (let (($x30 (forall ((?v0 A$) )(let ((?x28 (id$ ?v0)))
  4759 (= ?x28 ?v0)))
  4760 ))
  4761 (let ((@x507 (quant-intro (refl (= (= (id$ ?0) ?0) (= (id$ ?0) ?0))) (= $x30 $x503))))
  4762 (let ((@x64 (nnf-pos (refl (~ (= (id$ ?0) ?0) (= (id$ ?0) ?0))) (~ $x30 $x30))))
  4763 (let ((@x508 (mp (mp~ (asserted $x30) @x64 $x30) @x507 $x503)))
  4764 (let (($x163 (or (not $x503) $x46)))
  4765 (let ((@x496 ((_ quant-inst x$) $x163)))
  4766 (unit-resolution @x496 @x508 (unit-resolution @x84 (lemma @x495 $x47) $x73) false)))))))))))))))))))))))))))))))))
  4767 
  4768 50e0d27d5994794dc9d5826e8afa4b3217acf731 14 0
  4769 unsat
  4770 ((set-logic AUFLIA)
  4771 (proof
  4772 (let (($x29 (exists ((?v0 A$) )(g$ ?v0))
  4773 ))
  4774 (let (($x30 (ite $x29 true false)))
  4775 (let (($x31 (f$ $x30)))
  4776 (let (($x32 (=> $x31 true)))
  4777 (let (($x33 (not $x32)))
  4778 (let ((@x42 (monotonicity (monotonicity (rewrite (= $x30 $x29)) (= $x31 (f$ $x29))) (= $x32 (=> (f$ $x29) true)))))
  4779 (let ((@x46 (trans @x42 (rewrite (= (=> (f$ $x29) true) true)) (= $x32 true))))
  4780 (let ((@x53 (trans (monotonicity @x46 (= $x33 (not true))) (rewrite (= (not true) false)) (= $x33 false))))
  4781 (mp (asserted $x33) @x53 false)))))))))))
  4782 
  4783 8b09776b03122aeacc9dd9526e1f0e5d41a07f14 14 0
  4784 unsat
  4785 ((set-logic AUFLIA)
  4786 (proof
  4787 (let (($x29 (forall ((?v0 A$) )(g$ ?v0))
  4788 ))
  4789 (let (($x30 (ite $x29 true false)))
  4790 (let (($x31 (f$ $x30)))
  4791 (let (($x32 (=> $x31 true)))
  4792 (let (($x33 (not $x32)))
  4793 (let ((@x42 (monotonicity (monotonicity (rewrite (= $x30 $x29)) (= $x31 (f$ $x29))) (= $x32 (=> (f$ $x29) true)))))
  4794 (let ((@x46 (trans @x42 (rewrite (= (=> (f$ $x29) true) true)) (= $x32 true))))
  4795 (let ((@x53 (trans (monotonicity @x46 (= $x33 (not true))) (rewrite (= (not true) false)) (= $x33 false))))
  4796 (mp (asserted $x33) @x53 false)))))))))))
  4797 
  4798 b221de9d8dbe279344ac85e2ada07f5722636ce5 46 0
  4799 unsat
  4800 ((set-logic AUFLIA)
  4801 (proof
  4802 (let ((?x61 (fun_app$a le$ 3)))
  4803 (let (($x63 (fun_app$ ?x61 42)))
  4804 (let (($x75 (not $x63)))
  4805 (let (($x59 (= le$ uu$)))
  4806 (let ((@x73 (monotonicity (rewrite (= (=> $x59 $x63) (or (not $x59) $x63))) (= (not (=> $x59 $x63)) (not (or (not $x59) $x63))))))
  4807 (let ((@x74 (not-or-elim (mp (asserted (not (=> $x59 $x63))) @x73 (not (or (not $x59) $x63))) $x59)))
  4808 (let ((@x482 (monotonicity (symm @x74 (= uu$ le$)) (= (fun_app$a uu$ 3) ?x61))))
  4809 (let ((@x484 (symm (monotonicity @x482 (= (fun_app$ (fun_app$a uu$ 3) 42) $x63)) (= $x63 (fun_app$ (fun_app$a uu$ 3) 42)))))
  4810 (let ((@x472 (monotonicity @x484 (= $x75 (not (fun_app$ (fun_app$a uu$ 3) 42))))))
  4811 (let ((@x77 (not-or-elim (mp (asserted (not (=> $x59 $x63))) @x73 (not (or (not $x59) $x63))) $x75)))
  4812 (let ((?x79 (fun_app$a uu$ 3)))
  4813 (let (($x168 (fun_app$ ?x79 42)))
  4814 (let (($x52 (forall ((?v0 Int) (?v1 Int) )(!(let (($x46 (<= (+ ?v0 (* (- 1) ?v1)) 0)))
  4815 (let (($x31 (fun_app$ (fun_app$a uu$ ?v0) ?v1)))
  4816 (= $x31 $x46))) :pattern ( (fun_app$ (fun_app$a uu$ ?v0) ?v1) )))
  4817 ))
  4818 (let (($x46 (<= (+ ?1 (* (- 1) ?0)) 0)))
  4819 (let (($x31 (fun_app$ (fun_app$a uu$ ?1) ?0)))
  4820 (let (($x49 (= $x31 $x46)))
  4821 (let (($x35 (forall ((?v0 Int) (?v1 Int) )(!(let (($x32 (<= ?v0 ?v1)))
  4822 (let (($x31 (fun_app$ (fun_app$a uu$ ?v0) ?v1)))
  4823 (= $x31 $x32))) :pattern ( (fun_app$ (fun_app$a uu$ ?v0) ?v1) )))
  4824 ))
  4825 (let (($x40 (forall ((?v0 Int) (?v1 Int) )(!(let (($x32 (<= ?v0 ?v1)))
  4826 (let (($x31 (fun_app$ (fun_app$a uu$ ?v0) ?v1)))
  4827 (= $x31 $x32))) :pattern ( (fun_app$ (fun_app$a uu$ ?v0) ?v1) )))
  4828 ))
  4829 (let ((@x51 (monotonicity (rewrite (= (<= ?1 ?0) $x46)) (= (= $x31 (<= ?1 ?0)) $x49))))
  4830 (let ((@x42 (quant-intro (rewrite (= (= $x31 (<= ?1 ?0)) (= $x31 (<= ?1 ?0)))) (= $x35 $x40))))
  4831 (let ((@x57 (mp (asserted $x35) (trans @x42 (quant-intro @x51 (= $x40 $x52)) (= $x35 $x52)) $x52)))
  4832 (let ((@x78 (mp~ @x57 (nnf-pos (refl (~ $x49 $x49)) (~ $x52 $x52)) $x52)))
  4833 (let (($x134 (or (not $x52) $x168)))
  4834 (let (($x137 (= (or (not $x52) (= $x168 (<= (+ 3 (* (- 1) 42)) 0))) $x134)))
  4835 (let ((?x169 (* (- 1) 42)))
  4836 (let ((?x170 (+ 3 ?x169)))
  4837 (let (($x160 (<= ?x170 0)))
  4838 (let (($x171 (= $x168 $x160)))
  4839 (let ((@x158 (trans (monotonicity (rewrite (= ?x169 (- 42))) (= ?x170 (+ 3 (- 42)))) (rewrite (= (+ 3 (- 42)) (- 39))) (= ?x170 (- 39)))))
  4840 (let ((@x497 (trans (monotonicity @x158 (= $x160 (<= (- 39) 0))) (rewrite (= (<= (- 39) 0) true)) (= $x160 true))))
  4841 (let ((@x131 (trans (monotonicity @x497 (= $x171 (= $x168 true))) (rewrite (= (= $x168 true) $x168)) (= $x171 $x168))))
  4842 (let ((@x478 (mp ((_ quant-inst 3 42) (or (not $x52) $x171)) (trans (monotonicity @x131 $x137) (rewrite (= $x134 $x134)) $x137) $x134)))
  4843 (unit-resolution (unit-resolution @x478 @x78 $x168) (mp @x77 @x472 (not $x168)) false)))))))))))))))))))))))))))))))))))
  4844 
  4845 c94d83d8571ae767bf6025c563cdac64250f7638 189 0
  4846 unsat
  4847 ((set-logic AUFLIA)
  4848 (proof
  4849 (let ((?x74 (nat$ 2)))
  4850 (let ((?x75 (cons$ ?x74 nil$)))
  4851 (let ((?x69 (nat$ 1)))
  4852 (let ((?x76 (cons$ ?x69 ?x75)))
  4853 (let ((?x70 (cons$ ?x69 nil$)))
  4854 (let ((?x68 (nat$ 0)))
  4855 (let ((?x71 (cons$ ?x68 ?x70)))
  4856 (let ((?x72 (map$ uu$ ?x71)))
  4857 (let (($x77 (= ?x72 ?x76)))
  4858 (let ((?x264 (map$ uu$ ?x70)))
  4859 (let ((?x427 (map$ uu$ nil$)))
  4860 (let ((?x426 (fun_app$ uu$ ?x69)))
  4861 (let ((?x428 (cons$ ?x426 ?x427)))
  4862 (let (($x429 (= ?x264 ?x428)))
  4863 (let (($x598 (forall ((?v0 Nat_nat_fun$) (?v1 Nat$) (?v2 Nat_list$) )(!(let ((?x64 (cons$ (fun_app$ ?v0 ?v1) (map$ ?v0 ?v2))))
  4864 (let ((?x61 (map$ ?v0 (cons$ ?v1 ?v2))))
  4865 (= ?x61 ?x64))) :pattern ( (map$ ?v0 (cons$ ?v1 ?v2)) ) :pattern ( (cons$ (fun_app$ ?v0 ?v1) (map$ ?v0 ?v2)) )))
  4866 ))
  4867 (let (($x66 (forall ((?v0 Nat_nat_fun$) (?v1 Nat$) (?v2 Nat_list$) )(let ((?x64 (cons$ (fun_app$ ?v0 ?v1) (map$ ?v0 ?v2))))
  4868 (let ((?x61 (map$ ?v0 (cons$ ?v1 ?v2))))
  4869 (= ?x61 ?x64))))
  4870 ))
  4871 (let ((?x64 (cons$ (fun_app$ ?2 ?1) (map$ ?2 ?0))))
  4872 (let ((?x61 (map$ ?2 (cons$ ?1 ?0))))
  4873 (let (($x65 (= ?x61 ?x64)))
  4874 (let ((@x158 (mp~ (asserted $x66) (nnf-pos (refl (~ $x65 $x65)) (~ $x66 $x66)) $x66)))
  4875 (let ((@x603 (mp @x158 (quant-intro (refl (= $x65 $x65)) (= $x66 $x598)) $x598)))
  4876 (let (($x582 (not $x598)))
  4877 (let (($x524 (or $x582 $x429)))
  4878 (let ((@x511 ((_ quant-inst uu$ (nat$ 1) nil$) $x524)))
  4879 (let (($x515 (= ?x427 nil$)))
  4880 (let (($x590 (forall ((?v0 Nat_nat_fun$) )(!(= (map$ ?v0 nil$) nil$) :pattern ( (map$ ?v0 nil$) )))
  4881 ))
  4882 (let (($x55 (forall ((?v0 Nat_nat_fun$) )(= (map$ ?v0 nil$) nil$))
  4883 ))
  4884 (let ((@x592 (refl (= (= (map$ ?0 nil$) nil$) (= (map$ ?0 nil$) nil$)))))
  4885 (let ((@x152 (refl (~ (= (map$ ?0 nil$) nil$) (= (map$ ?0 nil$) nil$)))))
  4886 (let ((@x595 (mp (mp~ (asserted $x55) (nnf-pos @x152 (~ $x55 $x55)) $x55) (quant-intro @x592 (= $x55 $x590)) $x590)))
  4887 (let (($x506 (or (not $x590) $x515)))
  4888 (let ((@x507 ((_ quant-inst uu$) $x506)))
  4889 (let ((?x281 (of_nat$ ?x69)))
  4890 (let ((?x516 (+ 1 ?x281)))
  4891 (let ((?x517 (nat$ ?x516)))
  4892 (let (($x508 (= ?x426 ?x517)))
  4893 (let (($x47 (forall ((?v0 Nat$) )(!(let ((?x29 (fun_app$ uu$ ?v0)))
  4894 (= ?x29 (nat$ (+ 1 (of_nat$ ?v0))))) :pattern ( (fun_app$ uu$ ?v0) )))
  4895 ))
  4896 (let ((?x29 (fun_app$ uu$ ?0)))
  4897 (let (($x44 (= ?x29 (nat$ (+ 1 (of_nat$ ?0))))))
  4898 (let (($x36 (forall ((?v0 Nat$) )(!(let ((?x29 (fun_app$ uu$ ?v0)))
  4899 (= ?x29 (nat$ (+ (of_nat$ ?v0) 1)))) :pattern ( (fun_app$ uu$ ?v0) )))
  4900 ))
  4901 (let ((@x43 (monotonicity (rewrite (= (+ (of_nat$ ?0) 1) (+ 1 (of_nat$ ?0)))) (= (nat$ (+ (of_nat$ ?0) 1)) (nat$ (+ 1 (of_nat$ ?0)))))))
  4902 (let ((@x46 (monotonicity @x43 (= (= ?x29 (nat$ (+ (of_nat$ ?0) 1))) $x44))))
  4903 (let ((@x156 (mp~ (mp (asserted $x36) (quant-intro @x46 (= $x36 $x47)) $x47) (nnf-pos (refl (~ $x44 $x44)) (~ $x47 $x47)) $x47)))
  4904 (let (($x494 (or (not $x47) $x508)))
  4905 (let ((@x495 ((_ quant-inst (nat$ 1)) $x494)))
  4906 (let ((?x445 (of_nat$ ?x517)))
  4907 (let ((?x376 (nat$ ?x445)))
  4908 (let (($x377 (= ?x376 ?x517)))
  4909 (let (($x605 (forall ((?v0 Nat$) )(!(= (nat$ (of_nat$ ?v0)) ?v0) :pattern ( (of_nat$ ?v0) )))
  4910 ))
  4911 (let (($x82 (forall ((?v0 Nat$) )(= (nat$ (of_nat$ ?v0)) ?v0))
  4912 ))
  4913 (let ((@x610 (trans (rewrite (= $x82 $x605)) (rewrite (= $x605 $x605)) (= $x82 $x605))))
  4914 (let ((@x162 (refl (~ (= (nat$ (of_nat$ ?0)) ?0) (= (nat$ (of_nat$ ?0)) ?0)))))
  4915 (let ((@x611 (mp (mp~ (asserted $x82) (nnf-pos @x162 (~ $x82 $x82)) $x82) @x610 $x605)))
  4916 (let (($x384 (or (not $x605) $x377)))
  4917 (let ((@x385 ((_ quant-inst (nat$ ?x516)) $x384)))
  4918 (let ((?x437 (* (- 1) ?x445)))
  4919 (let ((?x410 (+ ?x281 ?x437)))
  4920 (let (($x431 (<= ?x410 (- 1))))
  4921 (let (($x378 (= ?x410 (- 1))))
  4922 (let (($x448 (>= ?x281 (- 1))))
  4923 (let (($x442 (>= ?x281 1)))
  4924 (let (($x282 (= ?x281 1)))
  4925 (let (($x613 (forall ((?v0 Int) )(!(let (($x88 (= (of_nat$ (nat$ ?v0)) ?v0)))
  4926 (let (($x101 (>= ?v0 0)))
  4927 (let (($x102 (not $x101)))
  4928 (or $x102 $x88)))) :pattern ( (nat$ ?v0) )))
  4929 ))
  4930 (let (($x108 (forall ((?v0 Int) )(let (($x88 (= (of_nat$ (nat$ ?v0)) ?v0)))
  4931 (let (($x101 (>= ?v0 0)))
  4932 (let (($x102 (not $x101)))
  4933 (or $x102 $x88)))))
  4934 ))
  4935 (let (($x88 (= (of_nat$ (nat$ ?0)) ?0)))
  4936 (let (($x101 (>= ?0 0)))
  4937 (let (($x102 (not $x101)))
  4938 (let (($x105 (or $x102 $x88)))
  4939 (let (($x90 (forall ((?v0 Int) )(let (($x88 (= (of_nat$ (nat$ ?v0)) ?v0)))
  4940 (let (($x85 (<= 0 ?v0)))
  4941 (=> $x85 $x88))))
  4942 ))
  4943 (let (($x96 (forall ((?v0 Int) )(let (($x88 (= (of_nat$ (nat$ ?v0)) ?v0)))
  4944 (or (not (<= 0 ?v0)) $x88)))
  4945 ))
  4946 (let ((@x104 (monotonicity (rewrite (= (<= 0 ?0) $x101)) (= (not (<= 0 ?0)) $x102))))
  4947 (let ((@x110 (quant-intro (monotonicity @x104 (= (or (not (<= 0 ?0)) $x88) $x105)) (= $x96 $x108))))
  4948 (let ((@x95 (rewrite (= (=> (<= 0 ?0) $x88) (or (not (<= 0 ?0)) $x88)))))
  4949 (let ((@x113 (mp (asserted $x90) (trans (quant-intro @x95 (= $x90 $x96)) @x110 (= $x90 $x108)) $x108)))
  4950 (let ((@x618 (mp (mp~ @x113 (nnf-pos (refl (~ $x105 $x105)) (~ $x108 $x108)) $x108) (quant-intro (refl (= $x105 $x105)) (= $x108 $x613)) $x613)))
  4951 (let (($x227 (not $x613)))
  4952 (let (($x271 (or $x227 $x282)))
  4953 (let ((@x578 (rewrite (= (not true) false))))
  4954 (let ((@x181 (rewrite (= (>= 1 0) true))))
  4955 (let ((@x289 (trans (monotonicity @x181 (= (not (>= 1 0)) (not true))) @x578 (= (not (>= 1 0)) false))))
  4956 (let ((@x560 (monotonicity @x289 (= (or (not (>= 1 0)) $x282) (or false $x282)))))
  4957 (let ((@x270 (trans @x560 (rewrite (= (or false $x282) $x282)) (= (or (not (>= 1 0)) $x282) $x282))))
  4958 (let ((@x552 (monotonicity @x270 (= (or $x227 (or (not (>= 1 0)) $x282)) $x271))))
  4959 (let ((@x555 (trans @x552 (rewrite (= $x271 $x271)) (= (or $x227 (or (not (>= 1 0)) $x282)) $x271))))
  4960 (let ((@x541 (mp ((_ quant-inst 1) (or $x227 (or (not (>= 1 0)) $x282))) @x555 $x271)))
  4961 (let ((@x351 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x282) $x442)) (unit-resolution @x541 @x618 $x282) $x442)))
  4962 (let (($x451 (not $x448)))
  4963 (let (($x409 (or $x227 $x451 $x378)))
  4964 (let (($x446 (= ?x445 ?x516)))
  4965 (let (($x443 (>= ?x516 0)))
  4966 (let (($x444 (not $x443)))
  4967 (let (($x447 (or $x444 $x446)))
  4968 (let (($x411 (or $x227 $x447)))
  4969 (let ((@x441 (monotonicity (monotonicity (rewrite (= $x443 $x448)) (= $x444 $x451)) (rewrite (= $x446 $x378)) (= $x447 (or $x451 $x378)))))
  4970 (let ((@x420 (trans (monotonicity @x441 (= $x411 (or $x227 (or $x451 $x378)))) (rewrite (= (or $x227 (or $x451 $x378)) $x409)) (= $x411 $x409))))
  4971 (let ((@x430 (mp ((_ quant-inst (+ 1 ?x281)) $x411) @x420 $x409)))
  4972 (let ((@x343 (unit-resolution @x430 @x618 (unit-resolution ((_ th-lemma arith farkas 1 1) (or (not $x442) $x448)) @x351 $x448) $x378)))
  4973 (let (($x432 (>= ?x410 (- 1))))
  4974 (let (($x331 (<= ?x281 1)))
  4975 (let ((@x335 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x282) $x331)) (unit-resolution @x541 @x618 $x282) $x331)))
  4976 (let ((@x341 ((_ th-lemma arith eq-propagate -1 -1 1 1) @x351 @x335 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x378) $x432)) @x343 $x432) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x378) $x431)) @x343 $x431) (= ?x445 2))))
  4977 (let ((@x327 (trans (monotonicity (symm @x341 (= 2 ?x445)) (= ?x74 ?x376)) (unit-resolution @x385 @x611 $x377) (= ?x74 ?x517))))
  4978 (let ((@x329 (trans @x327 (symm (unit-resolution @x495 @x156 $x508) (= ?x517 ?x426)) (= ?x74 ?x426))))
  4979 (let ((@x312 (monotonicity @x329 (symm (unit-resolution @x507 @x595 $x515) (= nil$ ?x427)) (= ?x75 ?x428))))
  4980 (let ((@x316 (trans @x312 (symm (unit-resolution @x511 @x603 $x429) (= ?x428 ?x264)) (= ?x75 ?x264))))
  4981 (let ((?x577 (of_nat$ ?x68)))
  4982 (let ((?x522 (+ 1 ?x577)))
  4983 (let ((?x523 (nat$ ?x522)))
  4984 (let ((?x263 (fun_app$ uu$ ?x68)))
  4985 (let (($x512 (= ?x263 ?x523)))
  4986 (let (($x513 (or (not $x47) $x512)))
  4987 (let ((@x514 ((_ quant-inst (nat$ 0)) $x513)))
  4988 (let ((?x496 (of_nat$ ?x523)))
  4989 (let ((?x373 (nat$ ?x496)))
  4990 (let (($x375 (= ?x373 ?x523)))
  4991 (let (($x380 (or (not $x605) $x375)))
  4992 (let ((@x381 ((_ quant-inst (nat$ ?x522)) $x380)))
  4993 (let ((?x490 (* (- 1) ?x577)))
  4994 (let ((?x491 (+ ?x496 ?x490)))
  4995 (let (($x465 (<= ?x491 1)))
  4996 (let (($x492 (= ?x491 1)))
  4997 (let (($x499 (>= ?x577 (- 1))))
  4998 (let (($x502 (>= ?x577 0)))
  4999 (let (($x249 (= ?x577 0)))
  5000 (let (($x228 (or $x227 $x249)))
  5001 (let ((@x584 (rewrite (= (>= 0 0) true))))
  5002 (let ((@x241 (trans (monotonicity @x584 (= (not (>= 0 0)) (not true))) @x578 (= (not (>= 0 0)) false))))
  5003 (let ((@x580 (monotonicity @x241 (= (or (not (>= 0 0)) $x249) (or false $x249)))))
  5004 (let ((@x226 (trans @x580 (rewrite (= (or false $x249) $x249)) (= (or (not (>= 0 0)) $x249) $x249))))
  5005 (let ((@x568 (monotonicity @x226 (= (or $x227 (or (not (>= 0 0)) $x249)) $x228))))
  5006 (let ((@x571 (trans @x568 (rewrite (= $x228 $x228)) (= (or $x227 (or (not (>= 0 0)) $x249)) $x228))))
  5007 (let ((@x208 (mp ((_ quant-inst 0) (or $x227 (or (not (>= 0 0)) $x249))) @x571 $x228)))
  5008 (let ((@x323 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x249) $x502)) (unit-resolution @x208 @x618 $x249) $x502)))
  5009 (let (($x487 (not $x499)))
  5010 (let (($x477 (or $x227 $x487 $x492)))
  5011 (let (($x497 (= ?x496 ?x522)))
  5012 (let (($x509 (>= ?x522 0)))
  5013 (let (($x510 (not $x509)))
  5014 (let (($x498 (or $x510 $x497)))
  5015 (let (($x478 (or $x227 $x498)))
  5016 (let ((@x476 (monotonicity (monotonicity (rewrite (= $x509 $x499)) (= $x510 $x487)) (rewrite (= $x497 $x492)) (= $x498 (or $x487 $x492)))))
  5017 (let ((@x486 (trans (monotonicity @x476 (= $x478 (or $x227 (or $x487 $x492)))) (rewrite (= (or $x227 (or $x487 $x492)) $x477)) (= $x478 $x477))))
  5018 (let ((@x464 (mp ((_ quant-inst (+ 1 ?x577)) $x478) @x486 $x477)))
  5019 (let ((@x304 (unit-resolution @x464 @x618 (unit-resolution ((_ th-lemma arith farkas 1 1) (or (not $x502) $x499)) @x323 $x499) $x492)))
  5020 (let (($x466 (>= ?x491 1)))
  5021 (let (($x504 (<= ?x577 0)))
  5022 (let ((@x298 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x249) $x504)) (unit-resolution @x208 @x618 $x249) $x504)))
  5023 (let ((@x300 ((_ th-lemma arith eq-propagate -1 -1 -1 -1) @x323 @x298 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x492) $x466)) @x304 $x466) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x492) $x465)) @x304 $x465) (= ?x496 1))))
  5024 (let ((@x294 (trans (monotonicity (symm @x300 (= 1 ?x496)) (= ?x69 ?x373)) (unit-resolution @x381 @x611 $x375) (= ?x69 ?x523))))
  5025 (let ((@x273 (trans @x294 (symm (unit-resolution @x514 @x156 $x512) (= ?x523 ?x263)) (= ?x69 ?x263))))
  5026 (let ((@x279 (symm (monotonicity @x273 @x316 (= ?x76 (cons$ ?x263 ?x264))) (= (cons$ ?x263 ?x264) ?x76))))
  5027 (let ((?x265 (cons$ ?x263 ?x264)))
  5028 (let (($x266 (= ?x72 ?x265)))
  5029 (let (($x237 (or $x582 $x266)))
  5030 (let ((@x367 ((_ quant-inst uu$ (nat$ 0) (cons$ ?x69 nil$)) $x237)))
  5031 (let (($x78 (not $x77)))
  5032 (let ((@x79 (asserted $x78)))
  5033 (unit-resolution @x79 (trans (unit-resolution @x367 @x603 $x266) @x279 $x77) false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  5034 
  5035 40c61a0200976d6203302a7343af5b7ad1e6ce36 11 0
  5036 unsat
  5037 ((set-logic AUFLIA)
  5038 (proof
  5039 (let (($x29 (forall ((?v0 A$) )(p$ ?v0))
  5040 ))
  5041 (let (($x30 (not $x29)))
  5042 (let (($x31 (or $x29 $x30)))
  5043 (let (($x32 (not $x31)))
  5044 (let ((@x42 (trans (monotonicity (rewrite (= $x31 true)) (= $x32 (not true))) (rewrite (= (not true) false)) (= $x32 false))))
  5045 (mp (asserted $x32) @x42 false))))))))
  5046 
  5047 825fdd8f086b9606c3db6feacf7565b92faf5ae2 190 0
  5048 unsat
  5049 ((set-logic AUFLIA)
  5050 (proof
  5051 (let ((?x87 (nat$ 6)))
  5052 (let ((?x80 (nat$ 4)))
  5053 (let ((?x81 (dec_10$ ?x80)))
  5054 (let ((?x82 (of_nat$ ?x81)))
  5055 (let ((?x83 (* 4 ?x82)))
  5056 (let ((?x84 (nat$ ?x83)))
  5057 (let ((?x85 (dec_10$ ?x84)))
  5058 (let (($x88 (= ?x85 ?x87)))
  5059 (let ((?x461 (dec_10$ ?x87)))
  5060 (let (($x421 (= ?x461 ?x87)))
  5061 (let ((?x487 (of_nat$ ?x87)))
  5062 (let ((?x464 (+ (- 10) ?x487)))
  5063 (let ((?x447 (nat$ ?x464)))
  5064 (let ((?x389 (dec_10$ ?x447)))
  5065 (let (($x448 (= ?x461 ?x389)))
  5066 (let (($x460 (>= ?x487 10)))
  5067 (let (($x449 (ite $x460 $x448 $x421)))
  5068 (let (($x602 (forall ((?v0 Nat$) )(!(let ((?x29 (of_nat$ ?v0)))
  5069 (let (($x60 (>= ?x29 10)))
  5070 (ite $x60 (= (dec_10$ ?v0) (dec_10$ (nat$ (+ (- 10) ?x29)))) (= (dec_10$ ?v0) ?v0)))) :pattern ( (of_nat$ ?v0) ) :pattern ( (dec_10$ ?v0) )))
  5071 ))
  5072 (let (($x180 (forall ((?v0 Nat$) )(let ((?x29 (of_nat$ ?v0)))
  5073 (let (($x60 (>= ?x29 10)))
  5074 (ite $x60 (= (dec_10$ ?v0) (dec_10$ (nat$ (+ (- 10) ?x29)))) (= (dec_10$ ?v0) ?v0)))))
  5075 ))
  5076 (let ((?x29 (of_nat$ ?0)))
  5077 (let (($x60 (>= ?x29 10)))
  5078 (let (($x177 (ite $x60 (= (dec_10$ ?0) (dec_10$ (nat$ (+ (- 10) ?x29)))) (= (dec_10$ ?0) ?0))))
  5079 (let (($x73 (forall ((?v0 Nat$) )(let ((?x46 (dec_10$ (nat$ (+ (- 10) (of_nat$ ?v0))))))
  5080 (let ((?x29 (of_nat$ ?v0)))
  5081 (let (($x60 (>= ?x29 10)))
  5082 (let ((?x65 (ite $x60 ?x46 ?v0)))
  5083 (let ((?x28 (dec_10$ ?v0)))
  5084 (= ?x28 ?x65)))))))
  5085 ))
  5086 (let ((?x46 (dec_10$ (nat$ (+ (- 10) ?x29)))))
  5087 (let ((?x65 (ite $x60 ?x46 ?0)))
  5088 (let ((?x28 (dec_10$ ?0)))
  5089 (let (($x70 (= ?x28 ?x65)))
  5090 (let (($x37 (forall ((?v0 Nat$) )(let ((?x29 (of_nat$ ?v0)))
  5091 (let (($x31 (< ?x29 10)))
  5092 (let ((?x28 (dec_10$ ?v0)))
  5093 (= ?x28 (ite $x31 ?v0 (dec_10$ (nat$ (- ?x29 10)))))))))
  5094 ))
  5095 (let (($x55 (forall ((?v0 Nat$) )(let ((?x46 (dec_10$ (nat$ (+ (- 10) (of_nat$ ?v0))))))
  5096 (let ((?x29 (of_nat$ ?v0)))
  5097 (let (($x31 (< ?x29 10)))
  5098 (let ((?x49 (ite $x31 ?v0 ?x46)))
  5099 (let ((?x28 (dec_10$ ?v0)))
  5100 (= ?x28 ?x49)))))))
  5101 ))
  5102 (let ((@x64 (monotonicity (rewrite (= (< ?x29 10) (not $x60))) (= (ite (< ?x29 10) ?0 ?x46) (ite (not $x60) ?0 ?x46)))))
  5103 (let ((@x69 (trans @x64 (rewrite (= (ite (not $x60) ?0 ?x46) ?x65)) (= (ite (< ?x29 10) ?0 ?x46) ?x65))))
  5104 (let ((@x72 (monotonicity @x69 (= (= ?x28 (ite (< ?x29 10) ?0 ?x46)) $x70))))
  5105 (let (($x31 (< ?x29 10)))
  5106 (let ((?x49 (ite $x31 ?0 ?x46)))
  5107 (let (($x52 (= ?x28 ?x49)))
  5108 (let ((@x45 (monotonicity (rewrite (= (- ?x29 10) (+ (- 10) ?x29))) (= (nat$ (- ?x29 10)) (nat$ (+ (- 10) ?x29))))))
  5109 (let ((@x51 (monotonicity (monotonicity @x45 (= (dec_10$ (nat$ (- ?x29 10))) ?x46)) (= (ite $x31 ?0 (dec_10$ (nat$ (- ?x29 10)))) ?x49))))
  5110 (let ((@x54 (monotonicity @x51 (= (= ?x28 (ite $x31 ?0 (dec_10$ (nat$ (- ?x29 10))))) $x52))))
  5111 (let ((@x77 (trans (quant-intro @x54 (= $x37 $x55)) (quant-intro @x72 (= $x55 $x73)) (= $x37 $x73))))
  5112 (let ((@x161 (mp~ (mp (asserted $x37) @x77 $x73) (nnf-pos (refl (~ $x70 $x70)) (~ $x73 $x73)) $x73)))
  5113 (let ((@x183 (mp @x161 (quant-intro (rewrite (= $x70 $x177)) (= $x73 $x180)) $x180)))
  5114 (let ((@x607 (mp @x183 (quant-intro (refl (= $x177 $x177)) (= $x180 $x602)) $x602)))
  5115 (let (($x256 (not $x602)))
  5116 (let (($x452 (or $x256 $x449)))
  5117 (let ((@x420 ((_ quant-inst (nat$ 6)) $x452)))
  5118 (let (($x385 (not $x460)))
  5119 (let (($x450 (<= ?x487 6)))
  5120 (let (($x488 (= ?x487 6)))
  5121 (let (($x616 (forall ((?v0 Int) )(!(let ((?x97 (nat$ ?v0)))
  5122 (let ((?x98 (of_nat$ ?x97)))
  5123 (let (($x99 (= ?x98 ?v0)))
  5124 (let (($x112 (>= ?v0 0)))
  5125 (let (($x113 (not $x112)))
  5126 (or $x113 $x99)))))) :pattern ( (nat$ ?v0) )))
  5127 ))
  5128 (let (($x119 (forall ((?v0 Int) )(let ((?x97 (nat$ ?v0)))
  5129 (let ((?x98 (of_nat$ ?x97)))
  5130 (let (($x99 (= ?x98 ?v0)))
  5131 (let (($x112 (>= ?v0 0)))
  5132 (let (($x113 (not $x112)))
  5133 (or $x113 $x99)))))))
  5134 ))
  5135 (let ((?x97 (nat$ ?0)))
  5136 (let ((?x98 (of_nat$ ?x97)))
  5137 (let (($x99 (= ?x98 ?0)))
  5138 (let (($x112 (>= ?0 0)))
  5139 (let (($x113 (not $x112)))
  5140 (let (($x116 (or $x113 $x99)))
  5141 (let (($x101 (forall ((?v0 Int) )(let ((?x97 (nat$ ?v0)))
  5142 (let ((?x98 (of_nat$ ?x97)))
  5143 (let (($x99 (= ?x98 ?v0)))
  5144 (let (($x96 (<= 0 ?v0)))
  5145 (=> $x96 $x99))))))
  5146 ))
  5147 (let (($x107 (forall ((?v0 Int) )(let ((?x97 (nat$ ?v0)))
  5148 (let ((?x98 (of_nat$ ?x97)))
  5149 (let (($x99 (= ?x98 ?v0)))
  5150 (or (not (<= 0 ?v0)) $x99)))))
  5151 ))
  5152 (let ((@x115 (monotonicity (rewrite (= (<= 0 ?0) $x112)) (= (not (<= 0 ?0)) $x113))))
  5153 (let ((@x121 (quant-intro (monotonicity @x115 (= (or (not (<= 0 ?0)) $x99) $x116)) (= $x107 $x119))))
  5154 (let ((@x106 (rewrite (= (=> (<= 0 ?0) $x99) (or (not (<= 0 ?0)) $x99)))))
  5155 (let ((@x124 (mp (asserted $x101) (trans (quant-intro @x106 (= $x101 $x107)) @x121 (= $x101 $x119)) $x119)))
  5156 (let ((@x621 (mp (mp~ @x124 (nnf-pos (refl (~ $x116 $x116)) (~ $x119 $x119)) $x119) (quant-intro (refl (= $x116 $x116)) (= $x119 $x616)) $x616)))
  5157 (let (($x544 (not $x616)))
  5158 (let (($x480 (or $x544 $x488)))
  5159 (let ((@x491 (rewrite (= (>= 6 0) true))))
  5160 (let ((@x495 (trans (monotonicity @x491 (= (not (>= 6 0)) (not true))) (rewrite (= (not true) false)) (= (not (>= 6 0)) false))))
  5161 (let ((@x475 (monotonicity @x495 (= (or (not (>= 6 0)) $x488) (or false $x488)))))
  5162 (let ((@x479 (trans @x475 (rewrite (= (or false $x488) $x488)) (= (or (not (>= 6 0)) $x488) $x488))))
  5163 (let ((@x465 (monotonicity @x479 (= (or $x544 (or (not (>= 6 0)) $x488)) $x480))))
  5164 (let ((@x468 (trans @x465 (rewrite (= $x480 $x480)) (= (or $x544 (or (not (>= 6 0)) $x488)) $x480))))
  5165 (let ((@x469 (mp ((_ quant-inst 6) (or $x544 (or (not (>= 6 0)) $x488))) @x468 $x480)))
  5166 (let ((@x415 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x488) $x450)) (unit-resolution @x469 @x621 $x488) $x450)))
  5167 (let ((@x386 (unit-resolution (def-axiom (or (not $x449) $x460 $x421)) (unit-resolution ((_ th-lemma arith farkas 1 1) (or (not $x450) $x385)) @x415 $x385) (unit-resolution @x420 @x607 $x449) $x421)))
  5168 (let ((?x251 (of_nat$ ?x80)))
  5169 (let ((?x454 (* (- 1) ?x251)))
  5170 (let ((?x455 (+ ?x82 ?x454)))
  5171 (let (($x456 (<= ?x455 0)))
  5172 (let (($x453 (= ?x82 ?x251)))
  5173 (let (($x238 (= ?x81 ?x80)))
  5174 (let ((?x233 (+ (- 10) ?x251)))
  5175 (let ((?x575 (nat$ ?x233)))
  5176 (let ((?x236 (dec_10$ ?x575)))
  5177 (let (($x237 (= ?x81 ?x236)))
  5178 (let (($x252 (>= ?x251 10)))
  5179 (let (($x239 (ite $x252 $x237 $x238)))
  5180 (let (($x578 (or $x256 $x239)))
  5181 (let ((@x579 ((_ quant-inst (nat$ 4)) $x578)))
  5182 (let (($x581 (not $x252)))
  5183 (let (($x380 (<= ?x251 4)))
  5184 (let (($x563 (= ?x251 4)))
  5185 (let (($x545 (or $x544 $x563)))
  5186 (let ((@x566 (rewrite (= (>= 4 0) true))))
  5187 (let ((@x558 (trans (monotonicity @x566 (= (not (>= 4 0)) (not true))) (rewrite (= (not true) false)) (= (not (>= 4 0)) false))))
  5188 (let ((@x398 (monotonicity @x558 (= (or (not (>= 4 0)) $x563) (or false $x563)))))
  5189 (let ((@x543 (trans @x398 (rewrite (= (or false $x563) $x563)) (= (or (not (>= 4 0)) $x563) $x563))))
  5190 (let ((@x549 (monotonicity @x543 (= (or $x544 (or (not (>= 4 0)) $x563)) $x545))))
  5191 (let ((@x377 (trans @x549 (rewrite (= $x545 $x545)) (= (or $x544 (or (not (>= 4 0)) $x563)) $x545))))
  5192 (let ((@x379 (mp ((_ quant-inst 4) (or $x544 (or (not (>= 4 0)) $x563))) @x377 $x545)))
  5193 (let ((@x393 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x563) $x380)) (unit-resolution @x379 @x621 $x563) $x380)))
  5194 (let ((@x367 (unit-resolution (def-axiom (or (not $x239) $x252 $x238)) (unit-resolution ((_ th-lemma arith farkas 1 1) (or (not $x380) $x581)) @x393 $x581) (unit-resolution @x579 @x607 $x239) $x238)))
  5195 (let ((@x215 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x453) $x456)) (monotonicity @x367 $x453) $x456)))
  5196 (let (($x457 (>= ?x455 0)))
  5197 (let ((@x376 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x453) $x457)) (monotonicity @x367 $x453) $x457)))
  5198 (let (($x536 (>= ?x251 4)))
  5199 (let ((@x362 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x563) $x536)) (unit-resolution @x379 @x621 $x563) $x536)))
  5200 (let ((?x576 (of_nat$ ?x84)))
  5201 (let ((?x439 (* (- 1) ?x576)))
  5202 (let ((?x440 (+ ?x83 ?x439)))
  5203 (let (($x517 (<= ?x440 0)))
  5204 (let (($x438 (= ?x440 0)))
  5205 (let (($x532 (>= ?x82 0)))
  5206 (let ((@x354 (unit-resolution ((_ th-lemma arith assign-bounds 1 1) (or $x532 (not $x536) (not $x457))) @x362 @x376 $x532)))
  5207 (let (($x434 (not $x532)))
  5208 (let (($x533 (or $x434 $x438)))
  5209 (let (($x522 (or $x544 $x434 $x438)))
  5210 (let (($x530 (= ?x576 ?x83)))
  5211 (let (($x529 (>= ?x83 0)))
  5212 (let (($x433 (not $x529)))
  5213 (let (($x531 (or $x433 $x530)))
  5214 (let (($x523 (or $x544 $x531)))
  5215 (let ((@x535 (monotonicity (monotonicity (rewrite (= $x529 $x532)) (= $x433 $x434)) (rewrite (= $x530 $x438)) (= $x531 $x533))))
  5216 (let ((@x528 (trans (monotonicity @x535 (= $x523 (or $x544 $x533))) (rewrite (= (or $x544 $x533) $x522)) (= $x523 $x522))))
  5217 (let ((@x516 (mp ((_ quant-inst (* 4 ?x82)) $x523) @x528 $x522)))
  5218 (let ((@x351 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x438) $x517)) (unit-resolution (unit-resolution @x516 @x621 $x533) @x354 $x438) $x517)))
  5219 (let (($x518 (>= ?x440 0)))
  5220 (let ((@x345 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x438) $x518)) (unit-resolution (unit-resolution @x516 @x621 $x533) @x354 $x438) $x518)))
  5221 (let ((@x349 (monotonicity ((_ th-lemma arith eq-propagate 1 1 -4 -4 -4 -4) @x345 @x351 @x362 @x393 @x376 @x215 (= (+ (- 10) ?x576) 6)) (= (nat$ (+ (- 10) ?x576)) ?x87))))
  5222 (let ((?x574 (+ (- 10) ?x576)))
  5223 (let ((?x278 (nat$ ?x574)))
  5224 (let ((?x292 (dec_10$ ?x278)))
  5225 (let (($x293 (= ?x85 ?x292)))
  5226 (let (($x294 (= ?x85 ?x84)))
  5227 (let (($x577 (>= ?x576 10)))
  5228 (let (($x295 (ite $x577 $x293 $x294)))
  5229 (let (($x568 (or $x256 $x295)))
  5230 (let ((@x299 ((_ quant-inst (nat$ ?x83)) $x568)))
  5231 (let ((@x336 (unit-resolution ((_ th-lemma arith assign-bounds 1 4 4) (or $x577 (not $x517) (not $x536) (not $x457))) @x362 @x351 @x376 $x577)))
  5232 (let ((@x337 (unit-resolution (def-axiom (or (not $x295) (not $x577) $x293)) @x336 (unit-resolution @x299 @x607 $x295) $x293)))
  5233 (let ((@x323 (trans (trans @x337 (monotonicity @x349 (= ?x292 ?x461)) (= ?x85 ?x461)) @x386 $x88)))
  5234 (let (($x89 (not $x88)))
  5235 (let ((@x90 (asserted $x89)))
  5236 (unit-resolution @x90 @x323 false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
  5237 
  5238 f8d23ebbeac7f77a32b969922f558052d0057659 336 0
  5239 unsat
  5240 ((set-logic <null>)
  5241 (proof
  5242 (let ((?x102 (mod$ l$ 2)))
  5243 (let ((?x99 (map$ uu$ xs$)))
  5244 (let ((?x100 (eval_dioph$ ks$ ?x99)))
  5245 (let ((?x101 (mod$ ?x100 2)))
  5246 (let (($x103 (= ?x101 ?x102)))
  5247 (let ((?x96 (eval_dioph$ ks$ xs$)))
  5248 (let (($x98 (= ?x96 l$)))
  5249 (let ((?x113 (* (- 1) ?x100)))
  5250 (let ((?x114 (+ l$ ?x113)))
  5251 (let ((?x117 (div$ ?x114 2)))
  5252 (let ((?x104 (map$ uua$ xs$)))
  5253 (let ((?x105 (eval_dioph$ ks$ ?x104)))
  5254 (let (($x120 (= ?x105 ?x117)))
  5255 (let (($x364 (not $x120)))
  5256 (let (($x363 (not $x103)))
  5257 (let (($x365 (or $x363 $x364)))
  5258 (let ((?x849 (div ?x96 2)))
  5259 (let ((?x1076 (* (- 1) ?x849)))
  5260 (let ((?x804 (mod ?x96 2)))
  5261 (let ((?x831 (* (- 1) ?x804)))
  5262 (let ((?x621 (mod l$ 2)))
  5263 (let ((?x648 (* (- 1) ?x621)))
  5264 (let (($x1078 (>= (+ l$ ?x102 ?x648 (* (- 1) (div l$ 2)) ?x831 ?x1076) 1)))
  5265 (let ((?x475 (* (- 1) l$)))
  5266 (let ((?x798 (+ ?x96 ?x475)))
  5267 (let (($x800 (>= ?x798 0)))
  5268 (let (($x874 (not $x800)))
  5269 (let (($x799 (<= ?x798 0)))
  5270 (let ((?x791 (+ ?x105 (* (- 1) ?x117))))
  5271 (let (($x792 (<= ?x791 0)))
  5272 (let (($x366 (not $x365)))
  5273 (let ((@x583 (hypothesis $x366)))
  5274 (let ((@x577 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x364 $x792)) (unit-resolution (def-axiom (or $x365 $x120)) @x583 $x120) $x792)))
  5275 (let ((?x542 (+ l$ ?x113 (* (- 2) (div ?x114 2)) (* (- 1) (mod (+ l$ ?x100) 2)))))
  5276 (let (($x548 (>= ?x542 0)))
  5277 (let (($x539 (= ?x542 0)))
  5278 (let ((@x26 (true-axiom true)))
  5279 (let ((@x898 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x539) $x548)) (unit-resolution ((_ th-lemma arith) (or false $x539)) @x26 $x539) $x548)))
  5280 (let ((?x606 (* (- 2) ?x105)))
  5281 (let ((?x607 (+ ?x96 ?x113 ?x606)))
  5282 (let (($x614 (<= ?x607 0)))
  5283 (let (($x608 (= ?x607 0)))
  5284 (let (($x386 (forall ((?v0 Int_list$) (?v1 Nat_list$) )(!(let ((?x48 (eval_dioph$ ?v0 ?v1)))
  5285 (let ((?x86 (+ ?x48 (* (- 1) (eval_dioph$ ?v0 (map$ uu$ ?v1))) (* (- 2) (eval_dioph$ ?v0 (map$ uua$ ?v1))))))
  5286 (= ?x86 0))) :pattern ( (eval_dioph$ ?v0 (map$ uu$ ?v1)) ) :pattern ( (eval_dioph$ ?v0 (map$ uua$ ?v1)) )))
  5287 ))
  5288 (let (($x88 (forall ((?v0 Int_list$) (?v1 Nat_list$) )(let ((?x48 (eval_dioph$ ?v0 ?v1)))
  5289 (let ((?x86 (+ ?x48 (* (- 1) (eval_dioph$ ?v0 (map$ uu$ ?v1))) (* (- 2) (eval_dioph$ ?v0 (map$ uua$ ?v1))))))
  5290 (= ?x86 0))))
  5291 ))
  5292 (let ((?x48 (eval_dioph$ ?1 ?0)))
  5293 (let ((?x86 (+ ?x48 (* (- 1) (eval_dioph$ ?1 (map$ uu$ ?0))) (* (- 2) (eval_dioph$ ?1 (map$ uua$ ?0))))))
  5294 (let (($x82 (= ?x86 0)))
  5295 (let (($x61 (forall ((?v0 Int_list$) (?v1 Nat_list$) )(let ((?x48 (eval_dioph$ ?v0 ?v1)))
  5296 (let ((?x51 (eval_dioph$ ?v0 (map$ uu$ ?v1))))
  5297 (let ((?x59 (+ (* (eval_dioph$ ?v0 (map$ uua$ ?v1)) 2) ?x51)))
  5298 (= ?x59 ?x48)))))
  5299 ))
  5300 (let (($x77 (forall ((?v0 Int_list$) (?v1 Nat_list$) )(let ((?x48 (eval_dioph$ ?v0 ?v1)))
  5301 (let ((?x57 (eval_dioph$ ?v0 (map$ uua$ ?v1))))
  5302 (let ((?x63 (* 2 ?x57)))
  5303 (let ((?x51 (eval_dioph$ ?v0 (map$ uu$ ?v1))))
  5304 (let ((?x69 (+ ?x51 ?x63)))
  5305 (= ?x69 ?x48)))))))
  5306 ))
  5307 (let ((?x57 (eval_dioph$ ?1 (map$ uua$ ?0))))
  5308 (let ((?x63 (* 2 ?x57)))
  5309 (let ((?x51 (eval_dioph$ ?1 (map$ uu$ ?0))))
  5310 (let ((?x69 (+ ?x51 ?x63)))
  5311 (let (($x74 (= ?x69 ?x48)))
  5312 (let ((@x68 (monotonicity (rewrite (= (* ?x57 2) ?x63)) (= (+ (* ?x57 2) ?x51) (+ ?x63 ?x51)))))
  5313 (let ((@x73 (trans @x68 (rewrite (= (+ ?x63 ?x51) ?x69)) (= (+ (* ?x57 2) ?x51) ?x69))))
  5314 (let ((@x79 (quant-intro (monotonicity @x73 (= (= (+ (* ?x57 2) ?x51) ?x48) $x74)) (= $x61 $x77))))
  5315 (let ((@x92 (trans @x79 (quant-intro (rewrite (= $x74 $x82)) (= $x77 $x88)) (= $x61 $x88))))
  5316 (let ((@x337 (mp~ (mp (asserted $x61) @x92 $x88) (nnf-pos (refl (~ $x82 $x82)) (~ $x88 $x88)) $x88)))
  5317 (let ((@x391 (mp @x337 (quant-intro (refl (= $x82 $x82)) (= $x88 $x386)) $x386)))
  5318 (let (($x612 (or (not $x386) $x608)))
  5319 (let ((@x613 ((_ quant-inst ks$ xs$) $x612)))
  5320 (let ((@x905 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x608) $x614)) (unit-resolution @x613 @x391 $x608) $x614)))
  5321 (let ((?x502 (+ ?x117 (* (- 1) (div ?x114 2)))))
  5322 (let (($x519 (<= ?x502 0)))
  5323 (let (($x503 (= ?x502 0)))
  5324 (let (($x413 (forall ((?v0 Int) (?v1 Int) )(!(let ((?x212 (div ?v0 ?v1)))
  5325 (let ((?x224 (* (- 1) ?v1)))
  5326 (let ((?x221 (* (- 1) ?v0)))
  5327 (let ((?x227 (div ?x221 ?x224)))
  5328 (let (($x242 (<= ?v1 0)))
  5329 (let ((?x249 (ite $x242 ?x227 ?x212)))
  5330 (let (($x210 (= ?v1 0)))
  5331 (let ((?x209 (div$ ?v0 ?v1)))
  5332 (= ?x209 (ite $x210 0 ?x249)))))))))) :pattern ( (div$ ?v0 ?v1) )))
  5333 ))
  5334 (let (($x260 (forall ((?v0 Int) (?v1 Int) )(let ((?x212 (div ?v0 ?v1)))
  5335 (let ((?x224 (* (- 1) ?v1)))
  5336 (let ((?x221 (* (- 1) ?v0)))
  5337 (let ((?x227 (div ?x221 ?x224)))
  5338 (let (($x242 (<= ?v1 0)))
  5339 (let ((?x249 (ite $x242 ?x227 ?x212)))
  5340 (let (($x210 (= ?v1 0)))
  5341 (let ((?x209 (div$ ?v0 ?v1)))
  5342 (= ?x209 (ite $x210 0 ?x249)))))))))))
  5343 ))
  5344 (let ((?x212 (div ?1 ?0)))
  5345 (let ((?x224 (* (- 1) ?0)))
  5346 (let ((?x221 (* (- 1) ?1)))
  5347 (let ((?x227 (div ?x221 ?x224)))
  5348 (let (($x242 (<= ?0 0)))
  5349 (let ((?x249 (ite $x242 ?x227 ?x212)))
  5350 (let (($x210 (= ?0 0)))
  5351 (let ((?x209 (div$ ?1 ?0)))
  5352 (let (($x257 (= ?x209 (ite $x210 0 ?x249))))
  5353 (let (($x219 (forall ((?v0 Int) (?v1 Int) )(let (($x210 (= ?v1 0)))
  5354 (let ((?x217 (ite $x210 0 (ite (< 0 ?v1) (div ?v0 ?v1) (div (- ?v0) (- ?v1))))))
  5355 (let ((?x209 (div$ ?v0 ?v1)))
  5356 (= ?x209 ?x217)))))
  5357 ))
  5358 (let (($x239 (forall ((?v0 Int) (?v1 Int) )(let ((?x224 (* (- 1) ?v1)))
  5359 (let ((?x221 (* (- 1) ?v0)))
  5360 (let ((?x227 (div ?x221 ?x224)))
  5361 (let ((?x212 (div ?v0 ?v1)))
  5362 (let (($x211 (< 0 ?v1)))
  5363 (let ((?x230 (ite $x211 ?x212 ?x227)))
  5364 (let (($x210 (= ?v1 0)))
  5365 (let ((?x233 (ite $x210 0 ?x230)))
  5366 (let ((?x209 (div$ ?v0 ?v1)))
  5367 (= ?x209 ?x233)))))))))))
  5368 ))
  5369 (let (($x211 (< 0 ?0)))
  5370 (let ((?x230 (ite $x211 ?x212 ?x227)))
  5371 (let ((?x233 (ite $x210 0 ?x230)))
  5372 (let ((@x248 (monotonicity (rewrite (= $x211 (not $x242))) (= ?x230 (ite (not $x242) ?x212 ?x227)))))
  5373 (let ((@x253 (trans @x248 (rewrite (= (ite (not $x242) ?x212 ?x227) ?x249)) (= ?x230 ?x249))))
  5374 (let ((@x259 (monotonicity (monotonicity @x253 (= ?x233 (ite $x210 0 ?x249))) (= (= ?x209 ?x233) $x257))))
  5375 (let (($x236 (= ?x209 ?x233)))
  5376 (let (($x237 (= (= ?x209 (ite $x210 0 (ite $x211 ?x212 (div (- ?1) (- ?0))))) $x236)))
  5377 (let ((@x229 (monotonicity (rewrite (= (- ?1) ?x221)) (rewrite (= (- ?0) ?x224)) (= (div (- ?1) (- ?0)) ?x227))))
  5378 (let ((@x235 (monotonicity (monotonicity @x229 (= (ite $x211 ?x212 (div (- ?1) (- ?0))) ?x230)) (= (ite $x210 0 (ite $x211 ?x212 (div (- ?1) (- ?0)))) ?x233))))
  5379 (let ((@x264 (trans (quant-intro (monotonicity @x235 $x237) (= $x219 $x239)) (quant-intro @x259 (= $x239 $x260)) (= $x219 $x260))))
  5380 (let ((@x357 (mp~ (mp (asserted $x219) @x264 $x260) (nnf-pos (refl (~ $x257 $x257)) (~ $x260 $x260)) $x260)))
  5381 (let ((@x418 (mp @x357 (quant-intro (refl (= $x257 $x257)) (= $x260 $x413)) $x413)))
  5382 (let (($x509 (or (not $x413) $x503)))
  5383 (let ((?x467 (div ?x114 2)))
  5384 (let (($x463 (<= 2 0)))
  5385 (let ((?x468 (ite $x463 (div (* (- 1) ?x114) (* (- 1) 2)) ?x467)))
  5386 (let (($x462 (= 2 0)))
  5387 (let ((?x469 (ite $x462 0 ?x468)))
  5388 (let (($x470 (= ?x117 ?x469)))
  5389 (let ((@x480 (rewrite (= (* (- 1) 2) (- 2)))))
  5390 (let ((@x483 (monotonicity (rewrite (= (* (- 1) ?x114) (+ ?x475 ?x100))) @x480 (= (div (* (- 1) ?x114) (* (- 1) 2)) (div (+ ?x475 ?x100) (- 2))))))
  5391 (let ((@x474 (rewrite (= $x463 false))))
  5392 (let ((@x486 (monotonicity @x474 @x483 (= ?x468 (ite false (div (+ ?x475 ?x100) (- 2)) ?x467)))))
  5393 (let ((@x490 (trans @x486 (rewrite (= (ite false (div (+ ?x475 ?x100) (- 2)) ?x467) ?x467)) (= ?x468 ?x467))))
  5394 (let ((@x472 (rewrite (= $x462 false))))
  5395 (let ((@x497 (trans (monotonicity @x472 @x490 (= ?x469 (ite false 0 ?x467))) (rewrite (= (ite false 0 ?x467) ?x467)) (= ?x469 ?x467))))
  5396 (let ((@x507 (trans (monotonicity @x497 (= $x470 (= ?x117 ?x467))) (rewrite (= (= ?x117 ?x467) $x503)) (= $x470 $x503))))
  5397 (let ((@x516 (trans (monotonicity @x507 (= (or (not $x413) $x470) $x509)) (rewrite (= $x509 $x509)) (= (or (not $x413) $x470) $x509))))
  5398 (let ((@x907 (unit-resolution (mp ((_ quant-inst (+ l$ ?x113) 2) (or (not $x413) $x470)) @x516 $x509) @x418 $x503)))
  5399 (let ((?x530 (mod (+ l$ ?x100) 2)))
  5400 (let (($x570 (>= ?x530 0)))
  5401 (let ((@x915 ((_ th-lemma arith farkas 1 -2 -2 -1 1 1) (unit-resolution ((_ th-lemma arith) (or false $x570)) @x26 $x570) (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x503) $x519)) @x907 $x519) (hypothesis $x792) @x905 (hypothesis (not $x799)) @x898 false)))
  5402 (let (($x137 (not $x98)))
  5403 (let (($x372 (= $x98 $x365)))
  5404 (let ((@x371 (monotonicity (rewrite (= (and $x103 $x120) $x366)) (= (= $x137 (and $x103 $x120)) (= $x137 $x366)))))
  5405 (let ((@x376 (trans @x371 (rewrite (= (= $x137 $x366) $x372)) (= (= $x137 (and $x103 $x120)) $x372))))
  5406 (let (($x123 (and $x103 $x120)))
  5407 (let (($x138 (= $x137 $x123)))
  5408 (let (($x110 (= $x98 (and $x103 (= ?x105 (div$ (- l$ ?x100) 2))))))
  5409 (let (($x111 (not $x110)))
  5410 (let ((@x119 (monotonicity (rewrite (= (- l$ ?x100) ?x114)) (= (div$ (- l$ ?x100) 2) ?x117))))
  5411 (let ((@x125 (monotonicity (monotonicity @x119 (= (= ?x105 (div$ (- l$ ?x100) 2)) $x120)) (= (and $x103 (= ?x105 (div$ (- l$ ?x100) 2))) $x123))))
  5412 (let ((@x133 (trans (monotonicity @x125 (= $x110 (= $x98 $x123))) (rewrite (= (= $x98 $x123) (= $x98 $x123))) (= $x110 (= $x98 $x123)))))
  5413 (let ((@x142 (trans (monotonicity @x133 (= $x111 (not (= $x98 $x123)))) (rewrite (= (not (= $x98 $x123)) $x138)) (= $x111 $x138))))
  5414 (let ((@x377 (mp (mp (asserted $x111) @x142 $x138) @x376 $x372)))
  5415 (let ((@x449 (unit-resolution (def-axiom (or $x137 $x365 (not $x372))) @x377 (or $x137 $x365))))
  5416 (let ((@x603 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x98 (not $x799) $x874)) (unit-resolution @x449 @x583 $x137) (or (not $x799) $x874))))
  5417 (let ((@x604 (unit-resolution @x603 (unit-resolution (lemma @x915 (or $x799 (not $x792))) @x577 $x799) $x874)))
  5418 (let ((?x649 (+ ?x102 ?x648)))
  5419 (let (($x666 (>= ?x649 0)))
  5420 (let (($x650 (= ?x649 0)))
  5421 (let (($x420 (forall ((?v0 Int) (?v1 Int) )(!(let ((?x267 (mod ?v0 ?v1)))
  5422 (let ((?x224 (* (- 1) ?v1)))
  5423 (let ((?x221 (* (- 1) ?v0)))
  5424 (let ((?x275 (mod ?x221 ?x224)))
  5425 (let ((?x281 (* (- 1) ?x275)))
  5426 (let (($x242 (<= ?v1 0)))
  5427 (let ((?x301 (ite $x242 ?x281 ?x267)))
  5428 (let (($x210 (= ?v1 0)))
  5429 (let ((?x306 (ite $x210 ?v0 ?x301)))
  5430 (let ((?x266 (mod$ ?v0 ?v1)))
  5431 (= ?x266 ?x306))))))))))) :pattern ( (mod$ ?v0 ?v1) )))
  5432 ))
  5433 (let (($x312 (forall ((?v0 Int) (?v1 Int) )(let ((?x267 (mod ?v0 ?v1)))
  5434 (let ((?x224 (* (- 1) ?v1)))
  5435 (let ((?x221 (* (- 1) ?v0)))
  5436 (let ((?x275 (mod ?x221 ?x224)))
  5437 (let ((?x281 (* (- 1) ?x275)))
  5438 (let (($x242 (<= ?v1 0)))
  5439 (let ((?x301 (ite $x242 ?x281 ?x267)))
  5440 (let (($x210 (= ?v1 0)))
  5441 (let ((?x306 (ite $x210 ?v0 ?x301)))
  5442 (let ((?x266 (mod$ ?v0 ?v1)))
  5443 (= ?x266 ?x306))))))))))))
  5444 ))
  5445 (let ((?x267 (mod ?1 ?0)))
  5446 (let ((?x275 (mod ?x221 ?x224)))
  5447 (let ((?x281 (* (- 1) ?x275)))
  5448 (let ((?x301 (ite $x242 ?x281 ?x267)))
  5449 (let ((?x306 (ite $x210 ?1 ?x301)))
  5450 (let ((?x266 (mod$ ?1 ?0)))
  5451 (let (($x309 (= ?x266 ?x306)))
  5452 (let (($x273 (forall ((?v0 Int) (?v1 Int) )(let (($x210 (= ?v1 0)))
  5453 (let ((?x271 (ite $x210 ?v0 (ite (< 0 ?v1) (mod ?v0 ?v1) (- (mod (- ?v0) (- ?v1)))))))
  5454 (let ((?x266 (mod$ ?v0 ?v1)))
  5455 (= ?x266 ?x271)))))
  5456 ))
  5457 (let (($x295 (forall ((?v0 Int) (?v1 Int) )(let ((?x224 (* (- 1) ?v1)))
  5458 (let ((?x221 (* (- 1) ?v0)))
  5459 (let ((?x275 (mod ?x221 ?x224)))
  5460 (let ((?x281 (* (- 1) ?x275)))
  5461 (let ((?x267 (mod ?v0 ?v1)))
  5462 (let (($x211 (< 0 ?v1)))
  5463 (let ((?x286 (ite $x211 ?x267 ?x281)))
  5464 (let (($x210 (= ?v1 0)))
  5465 (let ((?x289 (ite $x210 ?v0 ?x286)))
  5466 (let ((?x266 (mod$ ?v0 ?v1)))
  5467 (= ?x266 ?x289))))))))))))
  5468 ))
  5469 (let ((@x300 (monotonicity (rewrite (= $x211 (not $x242))) (= (ite $x211 ?x267 ?x281) (ite (not $x242) ?x267 ?x281)))))
  5470 (let ((@x305 (trans @x300 (rewrite (= (ite (not $x242) ?x267 ?x281) ?x301)) (= (ite $x211 ?x267 ?x281) ?x301))))
  5471 (let ((@x311 (monotonicity (monotonicity @x305 (= (ite $x210 ?1 (ite $x211 ?x267 ?x281)) ?x306)) (= (= ?x266 (ite $x210 ?1 (ite $x211 ?x267 ?x281))) $x309))))
  5472 (let ((?x286 (ite $x211 ?x267 ?x281)))
  5473 (let ((?x289 (ite $x210 ?1 ?x286)))
  5474 (let (($x292 (= ?x266 ?x289)))
  5475 (let (($x293 (= (= ?x266 (ite $x210 ?1 (ite $x211 ?x267 (- (mod (- ?1) (- ?0)))))) $x292)))
  5476 (let ((@x277 (monotonicity (rewrite (= (- ?1) ?x221)) (rewrite (= (- ?0) ?x224)) (= (mod (- ?1) (- ?0)) ?x275))))
  5477 (let ((@x285 (trans (monotonicity @x277 (= (- (mod (- ?1) (- ?0))) (- ?x275))) (rewrite (= (- ?x275) ?x281)) (= (- (mod (- ?1) (- ?0))) ?x281))))
  5478 (let ((@x288 (monotonicity @x285 (= (ite $x211 ?x267 (- (mod (- ?1) (- ?0)))) ?x286))))
  5479 (let ((@x291 (monotonicity @x288 (= (ite $x210 ?1 (ite $x211 ?x267 (- (mod (- ?1) (- ?0))))) ?x289))))
  5480 (let ((@x316 (trans (quant-intro (monotonicity @x291 $x293) (= $x273 $x295)) (quant-intro @x311 (= $x295 $x312)) (= $x273 $x312))))
  5481 (let ((@x362 (mp~ (mp (asserted $x273) @x316 $x312) (nnf-pos (refl (~ $x309 $x309)) (~ $x312 $x312)) $x312)))
  5482 (let ((@x425 (mp @x362 (quant-intro (refl (= $x309 $x309)) (= $x312 $x420)) $x420)))
  5483 (let (($x655 (not $x420)))
  5484 (let (($x656 (or $x655 $x650)))
  5485 (let ((?x465 (* (- 1) 2)))
  5486 (let ((?x616 (mod ?x475 ?x465)))
  5487 (let ((?x617 (* (- 1) ?x616)))
  5488 (let ((?x622 (ite $x463 ?x617 ?x621)))
  5489 (let ((?x623 (ite $x462 l$ ?x622)))
  5490 (let (($x624 (= ?x102 ?x623)))
  5491 (let ((@x630 (monotonicity (monotonicity @x480 (= ?x616 (mod ?x475 (- 2)))) (= ?x617 (* (- 1) (mod ?x475 (- 2)))))))
  5492 (let ((@x633 (monotonicity @x474 @x630 (= ?x622 (ite false (* (- 1) (mod ?x475 (- 2))) ?x621)))))
  5493 (let ((@x637 (trans @x633 (rewrite (= (ite false (* (- 1) (mod ?x475 (- 2))) ?x621) ?x621)) (= ?x622 ?x621))))
  5494 (let ((@x644 (trans (monotonicity @x472 @x637 (= ?x623 (ite false l$ ?x621))) (rewrite (= (ite false l$ ?x621) ?x621)) (= ?x623 ?x621))))
  5495 (let ((@x654 (trans (monotonicity @x644 (= $x624 (= ?x102 ?x621))) (rewrite (= (= ?x102 ?x621) $x650)) (= $x624 $x650))))
  5496 (let ((@x663 (trans (monotonicity @x654 (= (or $x655 $x624) $x656)) (rewrite (= $x656 $x656)) (= (or $x655 $x624) $x656))))
  5497 (let ((@x664 (mp ((_ quant-inst l$ 2) (or $x655 $x624)) @x663 $x656)))
  5498 (let ((@x921 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x650) $x666)) (unit-resolution @x664 @x425 $x650) $x666)))
  5499 (let ((?x862 (* (- 2) ?x849)))
  5500 (let ((?x863 (+ ?x96 ?x831 ?x862)))
  5501 (let (($x869 (>= ?x863 0)))
  5502 (let (($x861 (= ?x863 0)))
  5503 (let ((@x924 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x861) $x869)) (unit-resolution ((_ th-lemma arith) (or false $x861)) @x26 $x861) $x869)))
  5504 (let ((?x667 (div l$ 2)))
  5505 (let ((?x680 (* (- 2) ?x667)))
  5506 (let ((?x681 (+ l$ ?x648 ?x680)))
  5507 (let (($x687 (>= ?x681 0)))
  5508 (let (($x679 (= ?x681 0)))
  5509 (let ((@x934 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x679) $x687)) (unit-resolution ((_ th-lemma arith) (or false $x679)) @x26 $x679) $x687)))
  5510 (let ((?x609 (mod$ ?x96 2)))
  5511 (let ((?x832 (+ ?x609 ?x831)))
  5512 (let (($x833 (= ?x832 0)))
  5513 (let (($x838 (or $x655 $x833)))
  5514 (let ((?x801 (* (- 1) ?x96)))
  5515 (let ((?x802 (mod ?x801 ?x465)))
  5516 (let ((?x803 (* (- 1) ?x802)))
  5517 (let ((?x805 (ite $x463 ?x803 ?x804)))
  5518 (let ((?x806 (ite $x462 ?x96 ?x805)))
  5519 (let (($x807 (= ?x609 ?x806)))
  5520 (let ((@x813 (monotonicity (monotonicity @x480 (= ?x802 (mod ?x801 (- 2)))) (= ?x803 (* (- 1) (mod ?x801 (- 2)))))))
  5521 (let ((@x816 (monotonicity @x474 @x813 (= ?x805 (ite false (* (- 1) (mod ?x801 (- 2))) ?x804)))))
  5522 (let ((@x820 (trans @x816 (rewrite (= (ite false (* (- 1) (mod ?x801 (- 2))) ?x804) ?x804)) (= ?x805 ?x804))))
  5523 (let ((@x827 (trans (monotonicity @x472 @x820 (= ?x806 (ite false ?x96 ?x804))) (rewrite (= (ite false ?x96 ?x804) ?x804)) (= ?x806 ?x804))))
  5524 (let ((@x837 (trans (monotonicity @x827 (= $x807 (= ?x609 ?x804))) (rewrite (= (= ?x609 ?x804) $x833)) (= $x807 $x833))))
  5525 (let ((@x845 (trans (monotonicity @x837 (= (or $x655 $x807) $x838)) (rewrite (= $x838 $x838)) (= (or $x655 $x807) $x838))))
  5526 (let ((@x775 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x833) (>= ?x832 0))) (unit-resolution (mp ((_ quant-inst (eval_dioph$ ks$ xs$) 2) (or $x655 $x807)) @x845 $x838) @x425 $x833) (>= ?x832 0))))
  5527 (let ((?x888 (* (- 1) ?x609)))
  5528 (let ((?x889 (+ ?x102 ?x888)))
  5529 (let (($x891 (>= ?x889 0)))
  5530 (let (($x887 (= ?x102 ?x609)))
  5531 (let (($x881 (= ?x101 ?x609)))
  5532 (let (($x610 (= ?x609 ?x101)))
  5533 (let (($x379 (forall ((?v0 Int_list$) (?v1 Nat_list$) )(!(= (mod$ (eval_dioph$ ?v0 ?v1) 2) (mod$ (eval_dioph$ ?v0 (map$ uu$ ?v1)) 2)) :pattern ( (eval_dioph$ ?v0 (map$ uu$ ?v1)) )))
  5534 ))
  5535 (let (($x54 (forall ((?v0 Int_list$) (?v1 Nat_list$) )(= (mod$ (eval_dioph$ ?v0 ?v1) 2) (mod$ (eval_dioph$ ?v0 (map$ uu$ ?v1)) 2)))
  5536 ))
  5537 (let (($x53 (= (mod$ ?x48 2) (mod$ ?x51 2))))
  5538 (let ((@x332 (mp~ (asserted $x54) (nnf-pos (refl (~ $x53 $x53)) (~ $x54 $x54)) $x54)))
  5539 (let ((@x384 (mp @x332 (quant-intro (refl (= $x53 $x53)) (= $x54 $x379)) $x379)))
  5540 (let (($x619 (or (not $x379) $x610)))
  5541 (let ((@x620 ((_ quant-inst ks$ xs$) $x619)))
  5542 (let ((@x965 (symm (unit-resolution (def-axiom (or $x365 $x103)) @x583 $x103) (= ?x102 ?x101))))
  5543 (let ((@x962 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x887) $x891)) (trans @x965 (symm (unit-resolution @x620 @x384 $x610) $x881) $x887) $x891)))
  5544 (let (($x890 (<= ?x889 0)))
  5545 (let ((@x1023 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x887) $x890)) (trans @x965 (symm (unit-resolution @x620 @x384 $x610) $x881) $x887) $x890)))
  5546 (let (($x793 (>= ?x791 0)))
  5547 (let ((@x522 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x364 $x793)) (unit-resolution (def-axiom (or $x365 $x120)) @x583 $x120) $x793)))
  5548 (let ((@x1085 (unit-resolution ((_ th-lemma arith) (or false (not (>= ?x530 2)))) @x26 (not (>= ?x530 2)))))
  5549 (let (($x665 (<= ?x649 0)))
  5550 (let ((@x767 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x650) $x665)) (unit-resolution @x664 @x425 $x650) $x665)))
  5551 (let (($x868 (<= ?x863 0)))
  5552 (let ((@x858 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x861) $x868)) (unit-resolution ((_ th-lemma arith) (or false $x861)) @x26 $x861) $x868)))
  5553 (let (($x686 (<= ?x681 0)))
  5554 (let ((@x1092 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x679) $x686)) (unit-resolution ((_ th-lemma arith) (or false $x679)) @x26 $x679) $x686)))
  5555 (let ((@x1095 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x833) (<= ?x832 0))) (unit-resolution (mp ((_ quant-inst (eval_dioph$ ks$ xs$) 2) (or $x655 $x807)) @x845 $x838) @x425 $x833) (<= ?x832 0))))
  5556 (let (($x615 (>= ?x607 0)))
  5557 (let ((@x1100 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x608) $x615)) (unit-resolution @x613 @x391 $x608) $x615)))
  5558 (let ((@x1104 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x503) (>= ?x502 0))) @x907 (>= ?x502 0))))
  5559 (let ((@x1107 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x539) (<= ?x542 0))) (unit-resolution ((_ th-lemma arith) (or false $x539)) @x26 $x539) (<= ?x542 0))))
  5560 (let ((@x1108 ((_ th-lemma arith farkas 1 -2 -2 -1 -2 1 1 1 1 1 1) @x1107 @x1104 (hypothesis $x793) @x1100 (hypothesis $x1078) (hypothesis $x890) @x1095 @x1092 @x858 @x767 @x1085 false)))
  5561 (let ((@x576 (unit-resolution (lemma @x1108 (or (not $x1078) (not $x793) (not $x890))) @x522 @x1023 (not $x1078))))
  5562 (let ((@x966 (unit-resolution @x576 ((_ th-lemma arith) @x962 @x775 @x934 @x924 @x921 @x604 $x1078) false)))
  5563 (let ((@x967 (lemma @x966 $x365)))
  5564 (let ((@x445 (unit-resolution (def-axiom (or $x98 $x366 (not $x372))) @x377 (or $x98 $x366))))
  5565 (let ((@x586 (unit-resolution @x445 @x967 $x98)))
  5566 (let ((@x1067 (trans (symm (unit-resolution @x620 @x384 $x610) $x881) (monotonicity @x586 (= ?x609 ?x102)) $x103)))
  5567 (let (($x916 (not $x792)))
  5568 (let ((@x950 ((_ th-lemma arith assign-bounds 1 -1/2 -1/2 1/2 -1/2) (or $x793 (not $x519) (not $x570) (not $x548) (not $x614) $x874))))
  5569 (let ((@x951 (unit-resolution @x950 (unit-resolution ((_ th-lemma arith triangle-eq) (or (not $x503) $x519)) @x907 $x519) (unit-resolution ((_ th-lemma arith triangle-eq) (or $x137 $x800)) @x586 $x800) @x898 (unit-resolution ((_ th-lemma arith) (or false $x570)) @x26 $x570) @x905 $x793)))
  5570 (let ((@x1040 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x120 $x916 (not $x793))) (hypothesis $x364) (or $x916 (not $x793)))))
  5571 (let ((@x1060 ((_ th-lemma arith farkas -2 -2 1 -1 1 1) (unit-resolution @x1040 @x951 $x916) @x1104 @x1107 @x1100 (unit-resolution ((_ th-lemma arith triangle-eq) (or $x137 $x799)) @x586 $x799) @x1085 false)))