src/HOL/Boogie/Examples/cert/Boogie_Dijkstra.proof

--- a/src/HOL/Boogie/Examples/cert/Boogie_Dijkstra.proof	Fri Nov 13 15:10:28 2009 +0100
+++ b/src/HOL/Boogie/Examples/cert/Boogie_Dijkstra.proof	Fri Nov 13 15:11:41 2009 +0100
@@ -1,4237 +1,239 @@
 #2 := false
 #55 := 0::int
-decl uf_4 :: (-> T3 T2 int)
-decl ?x40!7 :: (-> T2 T2)
-decl ?x52!15 :: T2
-#2305 := ?x52!15
-#15992 := (?x40!7 ?x52!15)
-decl uf_14 :: T3
-#107 := uf_14
-#15996 := (uf_4 uf_14 #15992)
-#20405 := (>= #15996 0::int)
-#11 := (:var 0 T2)
-#110 := (uf_4 uf_14 #11)
-#4403 := (pattern #110)
-#1843 := (>= #110 0::int)
-#4404 := (forall (vars (?x34 T2)) (:pat #4403) #1843)
-decl uf_10 :: (-> T1 int)
+decl uf_24 :: (-> T2 int)
+decl ?x68!16 :: T2
+#2296 := ?x68!16
+#2300 := (uf_24 ?x68!16)
+#1220 := -1::int
+#2894 := (* -1::int #2300)
+decl ?x67!17 :: T2
+#2297 := ?x67!17
+#2298 := (uf_24 ?x67!17)
+#2895 := (+ #2298 #2894)
+#2896 := (<= #2895 0::int)
+#4133 := (not #2896)
+decl uf_6 :: (-> T4 T2 T5)
+decl uf_23 :: T4
+#193 := uf_23
+#2305 := (uf_6 uf_23 ?x68!16)
+decl uf_8 :: T5
+#33 := uf_8
+#2306 := (= uf_8 #2305)
+#2303 := (uf_6 uf_23 ?x67!17)
+#2304 := (= uf_8 #2303)
+#3433 := (not #2304)
+#3448 := (or #3433 #2306 #2896)
+#3453 := (not #3448)
 decl uf_1 :: (-> T2 T2 T1)
-decl ?x66!20 :: T2
-#2511 := ?x66!20
-decl ?x67!19 :: T2
-#2510 := ?x67!19
-#2516 := (uf_1 ?x67!19 ?x66!20)
-#2517 := (uf_10 #2516)
-#1320 := -1::int
-#2524 := (* -1::int #2517)
-decl uf_22 :: T3
-#230 := uf_22
-#2514 := (uf_4 uf_22 ?x67!19)
-#2520 := (* -1::int #2514)
-#3094 := (+ #2520 #2524)
-#2512 := (uf_4 uf_22 ?x66!20)
-#3095 := (+ #2512 #3094)
-#3096 := (<= #3095 0::int)
-decl uf_9 :: int
-#56 := uf_9
-#2525 := (+ uf_9 #2524)
-#2526 := (<= #2525 0::int)
-#2521 := (+ uf_9 #2520)
-#2522 := (<= #2521 0::int)
-#3693 := (or #2522 #2526 #3096)
-#3698 := (not #3693)
+decl ?x75!20 :: T2
+#2354 := ?x75!20
+#11 := (:var 0 T2)
+#2358 := (uf_1 #11 ?x75!20)
+#4486 := (pattern #2358)
+#202 := (uf_24 #11)
+#4426 := (pattern #202)
+#212 := (uf_6 uf_23 #11)
+#4452 := (pattern #212)
+decl uf_10 :: (-> T1 int)
+#2359 := (uf_10 #2358)
+#2355 := (uf_24 ?x75!20)
+#2356 := (* -1::int #2355)
+#2958 := (+ #2356 #2359)
+#2959 := (+ #202 #2958)
+#2962 := (= #2959 0::int)
+#3524 := (not #2962)
+#2357 := (+ #202 #2356)
+#2362 := (>= #2357 0::int)
+#773 := (= uf_8 #212)
+#779 := (not #773)
+#3525 := (or #779 #2362 #3524)
+#4487 := (forall (vars (?x76 T2)) (:pat #4452 #4426 #4486) #3525)
+#4492 := (not #4487)
 #10 := (:var 1 T2)
 #90 := (uf_1 #11 #10)
-#4379 := (pattern #90)
-#238 := (uf_4 uf_22 #10)
-#1720 := (* -1::int #238)
-#235 := (uf_4 uf_22 #11)
-#1721 := (+ #235 #1720)
+#4281 := (pattern #90)
+#224 := (uf_24 #10)
+#1505 := (* -1::int #224)
+#1506 := (+ #202 #1505)
 #91 := (uf_10 #90)
-#1727 := (+ #91 #1721)
-#1750 := (>= #1727 0::int)
-#1707 := (* -1::int #235)
-#1708 := (+ uf_9 #1707)
-#1709 := (<= #1708 0::int)
-#1343 := (* -1::int #91)
-#1346 := (+ uf_9 #1343)
-#1347 := (<= #1346 0::int)
-#3661 := (or #1347 #1709 #1750)
-#4633 := (forall (vars (?x66 T2) (?x67 T2)) (:pat #4379) #3661)
-#4638 := (not #4633)
-decl uf_11 :: T2
-#67 := uf_11
-#250 := (uf_4 uf_22 uf_11)
-#251 := (= #250 0::int)
-#4641 := (or #251 #4638)
-#4644 := (not #4641)
-#4647 := (or #4644 #3698)
-#4650 := (not #4647)
-#4609 := (pattern #235)
-decl ?x65!18 :: (-> T2 T2)
-#2487 := (?x65!18 #11)
-#2490 := (uf_1 #2487 #11)
-#2491 := (uf_10 #2490)
-#3064 := (* -1::int #2491)
-#2488 := (uf_4 uf_22 #2487)
-#3047 := (* -1::int #2488)
-#3065 := (+ #3047 #3064)
-#3066 := (+ #235 #3065)
-#3067 := (= #3066 0::int)
-#3631 := (not #3067)
-#3048 := (+ #235 #3047)
-#3049 := (<= #3048 0::int)
-#3632 := (or #3049 #3631)
-#3633 := (not #3632)
-#68 := (= #11 uf_11)
-#3639 := (or #68 #1709 #3633)
-#4625 := (forall (vars (?x64 T2)) (:pat #4609) #3639)
-#4630 := (not #4625)
-#4653 := (or #4630 #4650)
-#4656 := (not #4653)
-decl ?x64!17 :: T2
-#2447 := ?x64!17
-#2451 := (uf_1 #11 ?x64!17)
-#4610 := (pattern #2451)
-#2452 := (uf_10 #2451)
-#2448 := (uf_4 uf_22 ?x64!17)
-#2449 := (* -1::int #2448)
-#3017 := (+ #2449 #2452)
-#3018 := (+ #235 #3017)
-#3021 := (= #3018 0::int)
-#3595 := (not #3021)
-#2450 := (+ #235 #2449)
-#2455 := (>= #2450 0::int)
-#3596 := (or #2455 #3595)
-#4611 := (forall (vars (?x65 T2)) (:pat #4609 #4610) #3596)
-#4616 := (not #4611)
-#2993 := (= uf_11 ?x64!17)
-#2459 := (+ uf_9 #2449)
-#2460 := (<= #2459 0::int)
-#4619 := (or #2460 #2993 #4616)
-#4622 := (not #4619)
-#4659 := (or #4622 #4656)
-#4662 := (not #4659)
-decl uf_6 :: (-> T4 T2 T5)
-decl uf_15 :: T4
-#113 := uf_15
-#116 := (uf_6 uf_15 #11)
-#4445 := (pattern #116)
-#1404 := (* -1::int #110)
-#1405 := (+ uf_9 #1404)
-#1406 := (<= #1405 0::int)
-decl uf_8 :: T5
-#33 := uf_8
-#505 := (= uf_8 #116)
-#3581 := (or #505 #1406)
-#4601 := (forall (vars (?x41 T2)) (:pat #4445 #4403) #3581)
-#4606 := (not #4601)
-#933 := (= uf_14 uf_22)
-#1053 := (not #933)
-decl uf_19 :: T4
-#225 := uf_19
-#930 := (= uf_15 uf_19)
-#1071 := (not #930)
-decl uf_24 :: T3
-#233 := uf_24
-decl uf_23 :: T3
-#232 := uf_23
-#234 := (= uf_23 uf_24)
-#1044 := (not #234)
-decl uf_21 :: T2
-#228 := uf_21
-decl uf_20 :: T2
-#227 := uf_20
-#229 := (= uf_20 uf_21)
-#1062 := (not #229)
-#4665 := (or #1062 #1044 #1071 #1053 #4606 #4662)
-#4668 := (not #4665)
-#2309 := (uf_1 #11 ?x52!15)
-#4514 := (pattern #2309)
-decl uf_18 :: (-> T2 int)
-#158 := (uf_18 #11)
-#4454 := (pattern #158)
-decl uf_17 :: T4
-#149 := uf_17
-#168 := (uf_6 uf_17 #11)
-#4480 := (pattern #168)
-#2310 := (uf_10 #2309)
-#2306 := (uf_18 ?x52!15)
-#2307 := (* -1::int #2306)
-#2917 := (+ #2307 #2310)
-#2918 := (+ #158 #2917)
-#2921 := (= #2918 0::int)
-#3474 := (not #2921)
-#2308 := (+ #158 #2307)
-#2313 := (>= #2308 0::int)
-#630 := (= uf_8 #168)
-#636 := (not #630)
-#3475 := (or #636 #2313 #3474)
-#4515 := (forall (vars (?x53 T2)) (:pat #4480 #4454 #4514) #3475)
-#4520 := (not #4515)
-#180 := (uf_18 #10)
-#1505 := (* -1::int #180)
-#1506 := (+ #158 #1505)
 #1536 := (+ #91 #1506)
 #1534 := (>= #1536 0::int)
-#3466 := (or #636 #1347 #1534)
-#4506 := (forall (vars (?x50 T2) (?x51 T2)) (:pat #4379) #3466)
-#4511 := (not #4506)
-#2893 := (= uf_11 ?x52!15)
-#2317 := (+ uf_9 #2307)
-#2318 := (<= #2317 0::int)
-#4523 := (or #2318 #2893 #4511 #4520)
-#4526 := (not #4523)
-decl ?x50!14 :: T2
-#2275 := ?x50!14
-decl ?x51!13 :: T2
-#2274 := ?x51!13
-#2280 := (uf_1 ?x51!13 ?x50!14)
-#2281 := (uf_10 #2280)
-#2284 := (* -1::int #2281)
-#2278 := (uf_18 ?x51!13)
-#2879 := (* -1::int #2278)
-#2880 := (+ #2879 #2284)
-#2276 := (uf_18 ?x50!14)
-#2881 := (+ #2276 #2880)
-#2882 := (<= #2881 0::int)
-#2288 := (uf_6 uf_17 ?x51!13)
-#2289 := (= uf_8 #2288)
-#3429 := (not #2289)
-#2285 := (+ uf_9 #2284)
-#2286 := (<= #2285 0::int)
-#3444 := (or #2286 #3429 #2882)
-#3449 := (not #3444)
-#4529 := (or #3449 #4526)
-#4532 := (not #4529)
-#4497 := (pattern #158 #180)
+#1235 := (* -1::int #91)
+decl uf_9 :: int
+#56 := uf_9
+#1236 := (+ uf_9 #1235)
+#1237 := (<= #1236 0::int)
+#3516 := (or #779 #1237 #1534)
+#4478 := (forall (vars (?x71 T2) (?x72 T2)) (:pat #4281) #3516)
+#4483 := (not #4478)
+decl uf_11 :: T2
+#67 := uf_11
+#2934 := (= uf_11 ?x75!20)
+#2366 := (+ uf_9 #2356)
+#2367 := (<= #2366 0::int)
+#4495 := (or #2367 #2934 #4483 #4492)
+#4498 := (not #4495)
+decl ?x71!19 :: T2
+#2324 := ?x71!19
+decl ?x72!18 :: T2
+#2323 := ?x72!18
+#2329 := (uf_1 ?x72!18 ?x71!19)
+#2330 := (uf_10 #2329)
+#2333 := (* -1::int #2330)
+#2327 := (uf_24 ?x72!18)
+#2920 := (* -1::int #2327)
+#2921 := (+ #2920 #2333)
+#2325 := (uf_24 ?x71!19)
+#2922 := (+ #2325 #2921)
+#2923 := (<= #2922 0::int)
+#2337 := (uf_6 uf_23 ?x72!18)
+#2338 := (= uf_8 #2337)
+#3479 := (not #2338)
+#2334 := (+ uf_9 #2333)
+#2335 := (<= #2334 0::int)
+#3494 := (or #2335 #3479 #2923)
+#3499 := (not #3494)
+#4501 := (or #3499 #4498)
+#4504 := (not #4501)
+#4469 := (pattern #202 #224)
 #1504 := (>= #1506 0::int)
-#176 := (uf_6 uf_17 #10)
-#648 := (= uf_8 #176)
-#3406 := (not #648)
-#3421 := (or #630 #3406 #1504)
-#4498 := (forall (vars (?x48 T2) (?x49 T2)) (:pat #4497) #3421)
-#4503 := (not #4498)
-#4535 := (or #4503 #4532)
-#4538 := (not #4535)
-decl ?x49!11 :: T2
-#2247 := ?x49!11
-#2251 := (uf_18 ?x49!11)
-#2853 := (* -1::int #2251)
-decl ?x48!12 :: T2
-#2248 := ?x48!12
-#2249 := (uf_18 ?x48!12)
-#2854 := (+ #2249 #2853)
-#2855 := (<= #2854 0::int)
-#2256 := (uf_6 uf_17 ?x49!11)
-#2257 := (= uf_8 #2256)
-#2254 := (uf_6 uf_17 ?x48!12)
-#2255 := (= uf_8 #2254)
-#3383 := (not #2255)
-#3398 := (or #3383 #2257 #2855)
-#3403 := (not #3398)
-#4541 := (or #3403 #4538)
-#4544 := (not #4541)
-#1495 := (>= #158 0::int)
-#4489 := (forall (vars (?x47 T2)) (:pat #4454) #1495)
-#4494 := (not #4489)
-#4547 := (or #4494 #4544)
-#4550 := (not #4547)
-decl ?x47!10 :: T2
-#2232 := ?x47!10
-#2233 := (uf_18 ?x47!10)
-#2234 := (>= #2233 0::int)
-#2235 := (not #2234)
-#4553 := (or #2235 #4550)
-#4556 := (not #4553)
-#172 := (uf_18 uf_11)
-#173 := (= #172 0::int)
-#1492 := (not #173)
-#4559 := (or #1492 #4556)
-#4562 := (not #4559)
-#4565 := (or #1492 #4562)
-#4568 := (not #4565)
-#616 := (= #110 #158)
-#637 := (or #616 #636)
-#4481 := (forall (vars (?x46 T2)) (:pat #4403 #4454 #4480) #637)
-#4486 := (not #4481)
-#4571 := (or #4486 #4568)
-#4574 := (not #4571)
-decl ?x46!9 :: T2
-#2207 := ?x46!9
-#2212 := (uf_4 uf_14 ?x46!9)
-#2211 := (uf_18 ?x46!9)
-#2825 := (= #2211 #2212)
-#2208 := (uf_6 uf_17 ?x46!9)
-#2209 := (= uf_8 #2208)
-#2210 := (not #2209)
-#2831 := (or #2210 #2825)
-#2836 := (not #2831)
-#4577 := (or #2836 #4574)
-#4580 := (not #4577)
-#1480 := (* -1::int #158)
-#1481 := (+ #110 #1480)
-#1479 := (>= #1481 0::int)
-#4472 := (forall (vars (?x45 T2)) (:pat #4403 #4454) #1479)
-#4477 := (not #4472)
-#4583 := (or #4477 #4580)
-#4586 := (not #4583)
-decl ?x45!8 :: T2
-#2189 := ?x45!8
-#2192 := (uf_4 uf_14 ?x45!8)
-#2815 := (* -1::int #2192)
-#2190 := (uf_18 ?x45!8)
-#2816 := (+ #2190 #2815)
-#2817 := (<= #2816 0::int)
-#2822 := (not #2817)
-#4589 := (or #2822 #4586)
-#4592 := (not #4589)
-decl uf_16 :: T2
-#140 := uf_16
-#152 := (uf_1 uf_16 #11)
-#4455 := (pattern #152)
-#153 := (uf_10 #152)
-#1623 := (+ #153 #1480)
-#144 := (uf_4 uf_14 uf_16)
-#1624 := (+ #144 #1623)
-#1625 := (= #1624 0::int)
-#1450 := (* -1::int #153)
-#1457 := (+ uf_9 #1450)
-#1458 := (<= #1457 0::int)
-#1449 := (* -1::int #144)
-#1451 := (+ #1449 #1450)
-#1452 := (+ #110 #1451)
-#1453 := (<= #1452 0::int)
-#3375 := (or #1453 #1458 #1625)
-#4464 := (forall (vars (?x43 T2)) (:pat #4403 #4455 #4454) #3375)
-#4469 := (not #4464)
-#3355 := (or #1453 #1458)
-#3356 := (not #3355)
-#3359 := (or #616 #3356)
-#4456 := (forall (vars (?x44 T2)) (:pat #4403 #4454 #4455) #3359)
-#4461 := (not #4456)
-decl ?x41!16 :: T2
-#2408 := ?x41!16
-#2414 := (uf_6 uf_15 ?x41!16)
-#2415 := (= uf_8 #2414)
-#2409 := (uf_4 uf_14 ?x41!16)
-#2410 := (* -1::int #2409)
-#2411 := (+ uf_9 #2410)
-#2412 := (<= #2411 0::int)
-#1655 := (+ uf_9 #1449)
-#1656 := (<= #1655 0::int)
-#1638 := (+ #110 #1449)
-#1637 := (>= #1638 0::int)
-#1644 := (or #505 #1637)
-#4446 := (forall (vars (?x42 T2)) (:pat #4445 #4403) #1644)
-#4451 := (not #4446)
-#141 := (uf_6 uf_15 uf_16)
-#585 := (= uf_8 #141)
+#221 := (uf_6 uf_23 #10)
+#793 := (= uf_8 #221)
+#3456 := (not #793)
+#3471 := (or #773 #3456 #1504)
+#4470 := (forall (vars (?x67 T2) (?x68 T2)) (:pat #4469) #3471)
+#4475 := (not #4470)
+#4507 := (or #4475 #4504)
+#7658 := [hypothesis]: #3499
+#2336 := (not #2335)
+#4131 := (or #3494 #2336)
+#4137 := [def-axiom]: #4131
+#17052 := [unit-resolution #4137 #7658]: #2336
+#17077 := (or #3494 #2335)
+decl uf_4 :: (-> T3 T2 int)
+decl uf_14 :: T3
+#107 := uf_14
+#110 := (uf_4 uf_14 #11)
+#4305 := (pattern #110)
+#759 := (= #110 #202)
+#780 := (or #759 #779)
+#4453 := (forall (vars (?x63 T2)) (:pat #4305 #4426 #4452) #780)
+#4510 := (not #4507)
+#4513 := (or #3453 #4510)
+#4516 := (not #4513)
+#1495 := (>= #202 0::int)
+#4461 := (forall (vars (?x65 T2)) (:pat #4426) #1495)
+#4466 := (not #4461)
+#4519 := (or #4466 #4516)
+#4522 := (not #4519)
+decl ?x65!15 :: T2
+#2281 := ?x65!15
+#2282 := (uf_24 ?x65!15)
+#2283 := (>= #2282 0::int)
+#2284 := (not #2283)
+#4525 := (or #2284 #4522)
+#4528 := (not #4525)
+#216 := (uf_24 uf_11)
+#217 := (= #216 0::int)
+#1492 := (not #217)
+#4531 := (or #1492 #4528)
+#4534 := (not #4531)
+#4537 := (or #1492 #4534)
+#4540 := (not #4537)
+#4458 := (not #4453)
+#4543 := (or #4458 #4540)
+#4546 := (not #4543)
+decl ?x63!14 :: T2
+#2256 := ?x63!14
+#2261 := (uf_4 uf_14 ?x63!14)
+#2260 := (uf_24 ?x63!14)
+#2866 := (= #2260 #2261)
+#2257 := (uf_6 uf_23 ?x63!14)
+#2258 := (= uf_8 #2257)
+#2259 := (not #2258)
+#2872 := (or #2259 #2866)
+#2877 := (not #2872)
+#10222 := [hypothesis]: #2877
+#4144 := (or #2872 #2258)
+#4145 := [def-axiom]: #4144
+#10559 := [unit-resolution #4145 #10222]: #2258
+#4140 := (not #2866)
+#4141 := (or #2872 #4140)
+#4146 := [def-axiom]: #4141
+#10294 := [unit-resolution #4146 #10222]: #4140
+decl uf_3 :: (-> T1 T2)
+decl uf_22 :: T2
+#184 := uf_22
+#4728 := (uf_1 uf_22 uf_22)
+#9695 := (uf_3 #4728)
+#10367 := (uf_1 #9695 ?x63!14)
+#10448 := (uf_3 #10367)
+#11132 := (uf_4 uf_14 #10448)
+#13212 := (= #11132 #2261)
+#12385 := (= #2261 #11132)
+#10449 := (= ?x63!14 #10448)
+#12 := (uf_1 #10 #11)
+#4196 := (pattern #12)
+#13 := (uf_3 #12)
+#317 := (= #11 #13)
+#4197 := (forall (vars (?x2 T2) (?x3 T2)) (:pat #4196) #317)
+#321 := (forall (vars (?x2 T2) (?x3 T2)) #317)
+#4200 := (iff #321 #4197)
+#4198 := (iff #317 #317)
+#4199 := [refl]: #4198
+#4201 := [quant-intro #4199]: #4200
+#1843 := (~ #321 #321)
+#1875 := (~ #317 #317)
+#1876 := [refl]: #1875
+#1841 := [nnf-pos #1876]: #1843
+#14 := (= #13 #11)
+#15 := (forall (vars (?x2 T2) (?x3 T2)) #14)
+#322 := (iff #15 #321)
+#319 := (iff #14 #317)
+#320 := [rewrite]: #319
+#323 := [quant-intro #320]: #322
+#316 := [asserted]: #15
+#326 := [mp #316 #323]: #321
+#1877 := [mp~ #326 #1841]: #321
+#4202 := [mp #1877 #4201]: #4197
+#8139 := (not #4197)
+#12947 := (or #8139 #10449)
+#12948 := [quant-inst]: #12947
+#13195 := [unit-resolution #12948 #4202]: #10449
+#13203 := [monotonicity #13195]: #12385
+#13213 := [symm #13203]: #13212
+#13222 := (= #2260 #11132)
+#188 := (uf_4 uf_14 uf_22)
+#13623 := (= #188 #11132)
+#13621 := (= #11132 #188)
+#13610 := (= #10448 uf_22)
+#10707 := (= #9695 uf_22)
+#9696 := (= uf_22 #9695)
+#9727 := (or #8139 #9696)
+#9731 := [quant-inst]: #9727
+#10706 := [unit-resolution #9731 #4202]: #9696
+#10708 := [symm #10706]: #10707
+#13609 := (= #10448 #9695)
+#10319 := (= ?x63!14 #9695)
+decl uf_15 :: T4
+#113 := uf_15
+#9518 := (uf_6 uf_15 ?x63!14)
+#9519 := (= uf_8 #9518)
 decl uf_7 :: (-> T4 T2 T5 T4)
-#150 := (uf_7 uf_15 uf_16 uf_8)
-#151 := (= uf_17 #150)
-#876 := (not #151)
-#4595 := (or #876 #585 #4451 #1656 #2412 #2415 #4461 #4469 #4592)
-#4598 := (not #4595)
-#4671 := (or #4598 #4668)
-#4674 := (not #4671)
-#2152 := (?x40!7 #11)
-#2155 := (uf_1 #2152 #11)
-#2156 := (uf_10 #2155)
-#2790 := (* -1::int #2156)
-#2153 := (uf_4 uf_14 #2152)
-#2773 := (* -1::int #2153)
-#2791 := (+ #2773 #2790)
-#2792 := (+ #110 #2791)
-#2793 := (= #2792 0::int)
-#3339 := (not #2793)
-#2774 := (+ #110 #2773)
-#2775 := (<= #2774 0::int)
-#2161 := (uf_6 uf_15 #2152)
-#2162 := (= uf_8 #2161)
-#3338 := (not #2162)
-#3340 := (or #3338 #2775 #3339)
-#3341 := (not #3340)
-#3347 := (or #68 #1406 #3341)
-#4437 := (forall (vars (?x39 T2)) (:pat #4403) #3347)
-#4442 := (not #4437)
-decl uf_12 :: (-> T2 int)
-#69 := (uf_12 #11)
-#4355 := (pattern #69)
-decl ?x33!6 :: (-> T2 T2)
-#2123 := (?x33!6 #11)
-#2127 := (uf_12 #2123)
-#2728 := (* -1::int #2127)
-#2124 := (uf_1 #2123 #11)
-#2125 := (uf_10 #2124)
-#2745 := (* -1::int #2125)
-#2746 := (+ #2745 #2728)
-#2747 := (+ #69 #2746)
-#2748 := (= #2747 0::int)
-#3311 := (not #2748)
-#2729 := (+ #69 #2728)
-#2730 := (<= #2729 0::int)
-decl up_13 :: (-> T2 bool)
-#2133 := (up_13 #2123)
-#3310 := (not #2133)
-#3312 := (or #3310 #2730 #3311)
-#3313 := (not #3312)
-#1386 := (* -1::int #69)
-#1387 := (+ uf_9 #1386)
-#1388 := (<= #1387 0::int)
-#3319 := (or #68 #1388 #3313)
-#4429 := (forall (vars (?x32 T2)) (:pat #4355) #3319)
-#4434 := (not #4429)
-#114 := (uf_6 uf_15 #10)
-#4420 := (pattern #114 #116)
-#120 := (uf_4 uf_14 #10)
-#1417 := (* -1::int #120)
-#1418 := (+ #110 #1417)
-#1416 := (>= #1418 0::int)
-#502 := (= uf_8 #114)
-#3276 := (not #502)
-#3291 := (or #3276 #505 #1416)
-#4421 := (forall (vars (?x35 T2) (?x36 T2)) (:pat #4420) #3291)
-#4426 := (not #4421)
-#1424 := (+ #91 #1418)
-#1815 := (>= #1424 0::int)
-#508 := (not #505)
-#3268 := (or #508 #1347 #1815)
-#4412 := (forall (vars (?x37 T2) (?x38 T2)) (:pat #4379) #3268)
-#4417 := (not #4412)
-#4409 := (not #4404)
-#108 := (uf_4 uf_14 uf_11)
-#109 := (= #108 0::int)
-#1854 := (not #109)
-#4677 := (or #1854 #4409 #4417 #4426 #4434 #4442 #4674)
-#4680 := (not #4677)
-decl ?x32!5 :: T2
-#2081 := ?x32!5
-#2091 := (uf_1 #11 ?x32!5)
-#4388 := (pattern #2091)
-#77 := (up_13 #11)
-#4348 := (pattern #77)
-#2082 := (uf_12 ?x32!5)
-#2083 := (* -1::int #2082)
-#2096 := (+ #69 #2083)
-#2097 := (>= #2096 0::int)
-#2092 := (uf_10 #2091)
-#2093 := (+ #2083 #2092)
-#2094 := (+ #69 #2093)
-#2095 := (= #2094 0::int)
-#3229 := (not #2095)
-#78 := (not #77)
-#3230 := (or #78 #3229 #2097)
-#4389 := (forall (vars (?x33 T2)) (:pat #4348 #4355 #4388) #3230)
-#4394 := (not #4389)
-#2688 := (= uf_11 ?x32!5)
-#2084 := (+ uf_9 #2083)
-#2085 := (<= #2084 0::int)
-#4397 := (or #2085 #2688 #4394)
-#4400 := (not #4397)
-#4683 := (or #4400 #4680)
-#4686 := (not #4683)
-#86 := (uf_12 #10)
-#1323 := (* -1::int #86)
-#1344 := (+ #1323 #91)
-#1345 := (+ #69 #1344)
-#1342 := (>= #1345 0::int)
-#3221 := (or #78 #1342 #1347)
-#4380 := (forall (vars (?x30 T2) (?x31 T2)) (:pat #4379) #3221)
-#4385 := (not #4380)
-#4689 := (or #4385 #4686)
-#4692 := (not #4689)
-decl ?x31!3 :: T2
-#2051 := ?x31!3
-#2065 := (uf_12 ?x31!3)
-decl ?x30!4 :: T2
-#2052 := ?x30!4
-#2062 := (uf_12 ?x30!4)
-#2063 := (* -1::int #2062)
-#2660 := (+ #2063 #2065)
-#2053 := (uf_1 ?x31!3 ?x30!4)
-#2054 := (uf_10 #2053)
-#2661 := (+ #2054 #2660)
-#2664 := (>= #2661 0::int)
-#2059 := (up_13 ?x31!3)
-#3184 := (not #2059)
-#2055 := (* -1::int #2054)
-#2056 := (+ uf_9 #2055)
-#2057 := (<= #2056 0::int)
-#3199 := (or #2057 #3184 #2664)
-#3204 := (not #3199)
-#4695 := (or #3204 #4692)
-#4698 := (not #4695)
-#84 := (up_13 #10)
-#4370 := (pattern #77 #84)
-#1324 := (+ #69 #1323)
-#1322 := (>= #1324 0::int)
-#2632 := (not #84)
-#3176 := (or #77 #2632 #1322)
-#4371 := (forall (vars (?x28 T2) (?x29 T2)) (:pat #4370) #3176)
-#4376 := (not #4371)
-#4701 := (or #4376 #4698)
-#4704 := (not #4701)
-decl ?x29!1 :: T2
-#2026 := ?x29!1
-#2030 := (uf_12 ?x29!1)
-#2647 := (* -1::int #2030)
-decl ?x28!2 :: T2
-#2027 := ?x28!2
-#2028 := (uf_12 ?x28!2)
-#2648 := (+ #2028 #2647)
-#2649 := (<= #2648 0::int)
-#2034 := (up_13 ?x29!1)
-#2033 := (up_13 ?x28!2)
-#2266 := (not #2033)
-#2166 := (or #2266 #2034 #2649)
-#6004 := [hypothesis]: #2033
-#4349 := (forall (vars (?x26 T2)) (:pat #4348) #78)
-#79 := (forall (vars (?x26 T2)) #78)
-#4352 := (iff #79 #4349)
-#4350 := (iff #78 #78)
-#4351 := [refl]: #4350
-#4353 := [quant-intro #4351]: #4352
-#1965 := (~ #79 #79)
-#2002 := (~ #78 #78)
-#2003 := [refl]: #2002
-#1966 := [nnf-pos #2003]: #1965
-#70 := (= #69 0::int)
-#73 := (not #68)
-#1912 := (or #73 #70)
-#1915 := (forall (vars (?x24 T2)) #1912)
-#1918 := (not #1915)
-#1846 := (forall (vars (?x34 T2)) #1843)
-#1849 := (not #1846)
-#511 := (and #502 #508)
-#517 := (not #511)
-#1832 := (or #517 #1416)
-#1837 := (forall (vars (?x35 T2) (?x36 T2)) #1832)
-#1840 := (not #1837)
-#1348 := (not #1347)
-#1807 := (and #505 #1348)
-#1812 := (not #1807)
-#1818 := (or #1812 #1815)
-#1821 := (forall (vars (?x37 T2) (?x38 T2)) #1818)
-#1824 := (not #1821)
-#1710 := (not #1709)
-#1744 := (and #1348 #1710)
-#1747 := (not #1744)
-#1753 := (or #1747 #1750)
-#1756 := (forall (vars (?x66 T2) (?x67 T2)) #1753)
-#1759 := (not #1756)
-#1767 := (or #251 #1759)
-#1772 := (and #1756 #1767)
-#1725 := (= #1727 0::int)
-#1719 := (>= #1721 0::int)
-#1722 := (not #1719)
-#1729 := (and #1722 #1725)
-#1732 := (exists (vars (?x65 T2)) #1729)
-#1713 := (and #73 #1710)
-#1716 := (not #1713)
-#1735 := (or #1716 #1732)
-#1738 := (forall (vars (?x64 T2)) #1735)
-#1741 := (not #1738)
-#1775 := (or #1741 #1772)
-#1778 := (and #1738 #1775)
-#1407 := (not #1406)
-#1670 := (and #508 #1407)
-#1675 := (exists (vars (?x41 T2)) #1670)
-#1796 := (or #1062 #1044 #1071 #1053 #1675 #1778)
-#1678 := (not #1675)
-#1649 := (forall (vars (?x42 T2)) #1644)
-#1652 := (not #1649)
-#1459 := (not #1458)
-#1454 := (not #1453)
-#1462 := (and #1454 #1459)
-#1620 := (not #1462)
-#1628 := (or #1620 #1625)
-#1631 := (forall (vars (?x43 T2)) #1628)
-#1634 := (not #1631)
-#1561 := (= #1536 0::int)
-#1558 := (not #1504)
-#1570 := (and #630 #1558 #1561)
-#1575 := (exists (vars (?x53 T2)) #1570)
-#1547 := (+ uf_9 #1480)
-#1548 := (<= #1547 0::int)
-#1549 := (not #1548)
-#1552 := (and #73 #1549)
-#1555 := (not #1552)
-#1578 := (or #1555 #1575)
-#1581 := (forall (vars (?x52 T2)) #1578)
-#1526 := (and #630 #1348)
-#1531 := (not #1526)
-#1538 := (or #1531 #1534)
-#1541 := (forall (vars (?x50 T2) (?x51 T2)) #1538)
-#1544 := (not #1541)
-#1584 := (or #1544 #1581)
-#1587 := (and #1541 #1584)
-#656 := (and #636 #648)
-#664 := (not #656)
-#1512 := (or #664 #1504)
-#1517 := (forall (vars (?x48 T2) (?x49 T2)) #1512)
-#1520 := (not #1517)
-#1590 := (or #1520 #1587)
-#1593 := (and #1517 #1590)
-#1498 := (forall (vars (?x47 T2)) #1495)
-#1501 := (not #1498)
-#1596 := (or #1501 #1593)
-#1599 := (and #1498 #1596)
-#1602 := (or #1492 #1599)
-#1605 := (and #173 #1602)
-#642 := (forall (vars (?x46 T2)) #637)
-#824 := (not #642)
-#1608 := (or #824 #1605)
-#1611 := (and #642 #1608)
-#1484 := (forall (vars (?x45 T2)) #1479)
-#1487 := (not #1484)
-#1614 := (or #1487 #1611)
-#1617 := (and #1484 #1614)
-#1468 := (or #616 #1462)
-#1473 := (forall (vars (?x44 T2)) #1468)
-#1476 := (not #1473)
-#1702 := (or #876 #585 #1476 #1617 #1634 #1652 #1656 #1678)
-#1801 := (and #1702 #1796)
-#1422 := (= #1424 0::int)
-#1419 := (not #1416)
-#1432 := (and #505 #1419 #1422)
-#1437 := (exists (vars (?x40 T2)) #1432)
-#1410 := (and #73 #1407)
-#1413 := (not #1410)
-#1440 := (or #1413 #1437)
-#1443 := (forall (vars (?x39 T2)) #1440)
-#1446 := (not #1443)
-#1389 := (not #1388)
-#1392 := (and #73 #1389)
-#1395 := (not #1392)
-#1370 := (= #1345 0::int)
-#1366 := (not #1322)
-#1378 := (and #77 #1366 #1370)
-#1383 := (exists (vars (?x33 T2)) #1378)
-#1398 := (or #1383 #1395)
-#1401 := (forall (vars (?x32 T2)) #1398)
-#1857 := (not #1401)
-#1878 := (or #1854 #1857 #1446 #1801 #1824 #1840 #1849)
-#1883 := (and #1401 #1878)
-#1351 := (and #77 #1348)
-#1354 := (not #1351)
-#1357 := (or #1342 #1354)
-#1360 := (forall (vars (?x30 T2) (?x31 T2)) #1357)
-#1363 := (not #1360)
-#1886 := (or #1363 #1883)
-#1889 := (and #1360 #1886)
-#454 := (and #78 #84)
-#460 := (not #454)
-#1329 := (or #460 #1322)
-#1334 := (forall (vars (?x28 T2) (?x29 T2)) #1329)
-#1337 := (not #1334)
-#1892 := (or #1337 #1889)
-#1895 := (and #1334 #1892)
-#1313 := (>= #69 0::int)
-#1314 := (forall (vars (?x27 T2)) #1313)
-#1317 := (not #1314)
-#1898 := (or #1317 #1895)
-#1901 := (and #1314 #1898)
-#80 := (uf_12 uf_11)
-#81 := (= #80 0::int)
-#1308 := (not #81)
-#1904 := (or #1308 #1901)
-#1907 := (and #81 #1904)
-#437 := (= uf_9 #69)
-#443 := (or #68 #437)
-#448 := (forall (vars (?x25 T2)) #443)
-#1277 := (not #448)
-#1268 := (not #79)
-#1930 := (or #1268 #1277 #1907 #1918)
-#1935 := (not #1930)
-#82 := (<= 0::int #69)
-#83 := (forall (vars (?x27 T2)) #82)
-#87 := (<= #86 #69)
-#85 := (and #84 #78)
-#88 := (implies #85 #87)
-#89 := (forall (vars (?x28 T2) (?x29 T2)) #88)
-#94 := (+ #69 #91)
-#95 := (<= #86 #94)
-#92 := (< #91 uf_9)
-#93 := (and #92 #77)
-#96 := (implies #93 #95)
-#97 := (forall (vars (?x30 T2) (?x31 T2)) #96)
-#101 := (< #69 #86)
-#102 := (and #77 #101)
-#100 := (= #86 #94)
-#103 := (and #100 #102)
-#104 := (exists (vars (?x33 T2)) #103)
-#98 := (< #69 uf_9)
-#99 := (and #98 #73)
-#105 := (implies #99 #104)
-#106 := (forall (vars (?x32 T2)) #105)
-#241 := (< #235 #238)
-#239 := (+ #235 #91)
-#240 := (= #238 #239)
-#242 := (and #240 #241)
-#243 := (exists (vars (?x65 T2)) #242)
-#236 := (< #235 uf_9)
-#237 := (and #236 #73)
-#244 := (implies #237 #243)
-#245 := (forall (vars (?x64 T2)) #244)
-#247 := (<= #238 #239)
-#246 := (and #92 #236)
-#248 := (implies #246 #247)
-#249 := (forall (vars (?x66 T2) (?x67 T2)) #248)
-#1 := true
-#252 := (implies #251 true)
-#253 := (and #252 #251)
-#254 := (implies #249 #253)
-#255 := (and #254 #249)
-#256 := (implies #245 #255)
-#257 := (and #256 #245)
-#258 := (implies true #257)
-#259 := (implies #234 #258)
-#231 := (= uf_22 uf_14)
-#260 := (implies #231 #259)
-#261 := (implies #229 #260)
-#226 := (= uf_19 uf_15)
-#262 := (implies #226 #261)
-#263 := (implies true #262)
-#264 := (implies true #263)
-#117 := (= #116 uf_8)
-#118 := (not #117)
-#129 := (< #110 uf_9)
-#138 := (and #129 #118)
-#139 := (exists (vars (?x41 T2)) #138)
-#224 := (not #139)
-#265 := (implies #224 #264)
-#266 := (implies true #265)
-#267 := (implies true #266)
-#166 := (<= #158 #110)
-#167 := (forall (vars (?x45 T2)) #166)
-#163 := (= #158 #110)
-#169 := (= #168 uf_8)
-#170 := (implies #169 #163)
-#171 := (forall (vars (?x46 T2)) #170)
-#174 := (<= 0::int #158)
-#175 := (forall (vars (?x47 T2)) #174)
-#181 := (<= #180 #158)
-#178 := (not #169)
-#177 := (= #176 uf_8)
-#179 := (and #177 #178)
-#182 := (implies #179 #181)
-#183 := (forall (vars (?x48 T2) (?x49 T2)) #182)
-#185 := (+ #158 #91)
-#186 := (<= #180 #185)
-#184 := (and #92 #169)
-#187 := (implies #184 #186)
-#188 := (forall (vars (?x50 T2) (?x51 T2)) #187)
-#192 := (< #158 #180)
-#193 := (and #169 #192)
-#191 := (= #180 #185)
-#194 := (and #191 #193)
-#195 := (exists (vars (?x53 T2)) #194)
-#189 := (< #158 uf_9)
-#190 := (and #189 #73)
-#196 := (implies #190 #195)
-#197 := (forall (vars (?x52 T2)) #196)
-#198 := (implies false true)
-#199 := (implies #197 #198)
-#200 := (and #199 #197)
-#201 := (implies #188 #200)
-#202 := (and #201 #188)
-#203 := (implies #183 #202)
-#204 := (and #203 #183)
-#205 := (implies #175 #204)
-#206 := (and #205 #175)
-#207 := (implies #173 #206)
-#208 := (and #207 #173)
-#209 := (implies true #208)
-#210 := (implies true #209)
-#211 := (implies #171 #210)
-#212 := (and #211 #171)
-#213 := (implies #167 #212)
-#214 := (and #213 #167)
-#156 := (< #153 uf_9)
-#154 := (+ #144 #153)
-#155 := (< #154 #110)
-#157 := (and #155 #156)
-#162 := (not #157)
-#164 := (implies #162 #163)
-#165 := (forall (vars (?x44 T2)) #164)
-#215 := (implies #165 #214)
-#159 := (= #158 #154)
-#160 := (implies #157 #159)
-#161 := (forall (vars (?x43 T2)) #160)
-#216 := (implies #161 #215)
-#217 := (implies #151 #216)
-#146 := (<= #144 #110)
-#147 := (implies #118 #146)
-#148 := (forall (vars (?x42 T2)) #147)
-#218 := (implies #148 #217)
-#145 := (< #144 uf_9)
-#219 := (implies #145 #218)
-#142 := (= #141 uf_8)
-#143 := (not #142)
-#220 := (implies #143 #219)
-#221 := (implies #139 #220)
-#222 := (implies true #221)
-#223 := (implies true #222)
-#268 := (and #223 #267)
-#269 := (implies true #268)
-#132 := (< #110 #120)
-#133 := (and #117 #132)
-#125 := (+ #110 #91)
-#131 := (= #120 #125)
-#134 := (and #131 #133)
-#135 := (exists (vars (?x40 T2)) #134)
-#130 := (and #129 #73)
-#136 := (implies #130 #135)
-#137 := (forall (vars (?x39 T2)) #136)
-#270 := (implies #137 #269)
-#126 := (<= #120 #125)
-#124 := (and #92 #117)
-#127 := (implies #124 #126)
-#128 := (forall (vars (?x37 T2) (?x38 T2)) #127)
-#271 := (implies #128 #270)
-#121 := (<= #120 #110)
-#115 := (= #114 uf_8)
-#119 := (and #115 #118)
-#122 := (implies #119 #121)
-#123 := (forall (vars (?x35 T2) (?x36 T2)) #122)
-#272 := (implies #123 #271)
-#111 := (<= 0::int #110)
-#112 := (forall (vars (?x34 T2)) #111)
-#273 := (implies #112 #272)
-#274 := (implies #109 #273)
-#275 := (implies true #274)
-#276 := (implies true #275)
-#277 := (implies #106 #276)
-#278 := (and #277 #106)
-#279 := (implies #97 #278)
-#280 := (and #279 #97)
-#281 := (implies #89 #280)
-#282 := (and #281 #89)
-#283 := (implies #83 #282)
-#284 := (and #283 #83)
-#285 := (implies #81 #284)
-#286 := (and #285 #81)
-#287 := (implies true #286)
-#288 := (implies #79 #287)
-#74 := (= #69 uf_9)
-#75 := (implies #73 #74)
-#76 := (forall (vars (?x25 T2)) #75)
-#289 := (implies #76 #288)
-#71 := (implies #68 #70)
-#72 := (forall (vars (?x24 T2)) #71)
-#290 := (implies #72 #289)
-#291 := (implies true #290)
-#292 := (implies true #291)
-#293 := (not #292)
-#1938 := (iff #293 #1935)
-#983 := (= 0::int #250)
-#939 := (+ #91 #235)
-#968 := (<= #238 #939)
-#974 := (not #246)
-#975 := (or #974 #968)
-#980 := (forall (vars (?x66 T2) (?x67 T2)) #975)
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-#1021 := (or #1020 #1012)
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-#1054 := (or #1053 #1045)
-#1063 := (or #1062 #1054)
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-#582 := (exists (vars (?x41 T2)) #579)
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-#673 := (and #92 #630)
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-#686 := (or #685 #679)
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-#746 := (or #745 #723)
-#754 := (and #691 #746)
-#665 := (or #181 #664)
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-#763 := (or #762 #754)
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-#780 := (or #779 #771)
-#788 := (and #175 #780)
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-#797 := (or #796 #788)
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-#842 := (or #841 #833)
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-#859 := (or #858 #850)
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-#868 := (or #867 #859)
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-#912 := (or #911 #903)
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-#539 := (or #538 #532)
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-#1139 := (or #1138 #1130)
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-#1148 := (or #1147 #1139)
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-#491 := (or #104 #490)
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-#476 := (or #95 #475)
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-#1269 := (or #1268 #1253)
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-#1718 := [monotonicity #1715]: #1717
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-#1677 := [quant-intro #1674]: #1676
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-#1565 := (iff #703 #1564)
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-#1566 := [monotonicity #1560]: #1565
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-decl ?x27!0 :: T2
-#2011 := ?x27!0
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-#3019 := (= #2453 #3018)
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-#3006 := [trans #3001 #3004]: #3005
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-#3012 := [monotonicity #3009]: #3011
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-#3035 := [monotonicity #3016 #3032]: #3034
-#3040 := [trans #3035 #3038]: #3039
-#3120 := [monotonicity #3040 #3117]: #3119
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-#2992 := [rewrite]: #2991
-#2989 := (iff #2435 #930)
-#2990 := [rewrite]: #2989
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-#2988 := [rewrite]: #2987
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-#2884 := [rewrite]: #2883
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-#2857 := [rewrite]: #2856
-#2851 := (iff #2253 #2850)
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-#2845 := (iff #2260 #2844)
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-#2809 := (+ #2191 #2192)
-#2812 := (>= #2809 0::int)
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-#2819 := [rewrite]: #2818
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-#2810 := (= #2193 #2809)
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-#2723 := (= #2130 #2722)
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-#3149 := [monotonicity #2659 #3146]: #3148
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-#2582 := (~ #2581 #1837)
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-#2556 := (~ #2555 #2554)
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-#2502 := (~ #1735 #2501)
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-#2481 := (~ #2467 #2480)
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-#2478 := (~ #2477 #2476)
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-#2443 := [refl]: #2442
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-#2565 := [nnf-neg #2431 #2434 #2437 #2440 #2446 #2561]: #2564
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-#2427 := (~ #2426 #2425)
-#2422 := (not #1678)
-#2423 := (~ #2422 #2417)
-#2418 := (~ #1675 #2417)
-#2419 := [sk]: #2418
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-#2406 := (~ #1657 #1657)
-#2407 := [refl]: #2406
-#2403 := (not #1652)
-#2404 := (~ #2403 #1649)
-#2401 := (~ #1649 #1649)
-#2399 := (~ #1644 #1644)
-#2400 := [refl]: #2399
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-#2396 := (not #1634)
-#2397 := (~ #2396 #1631)
-#2394 := (~ #1631 #1631)
-#2392 := (~ #1628 #1628)
-#2393 := [refl]: #2392
-#2395 := [nnf-pos #2393]: #2394
-#2398 := [nnf-neg #2395]: #2397
-#2389 := (not #1617)
-#2390 := (~ #2389 #2388)
-#2385 := (not #1614)
-#2386 := (~ #2385 #2384)
-#2381 := (not #1611)
-#2382 := (~ #2381 #2380)
-#2377 := (not #1608)
-#2378 := (~ #2377 #2376)
-#2373 := (not #1605)
-#2374 := (~ #2373 #2372)
-#2369 := (not #1602)
-#2370 := (~ #2369 #2368)
-#2365 := (not #1599)
-#2366 := (~ #2365 #2364)
-#2361 := (not #1596)
-#2362 := (~ #2361 #2360)
-#2357 := (not #1593)
-#2358 := (~ #2357 #2356)
-#2353 := (not #1590)
-#2354 := (~ #2353 #2352)
-#2349 := (not #1587)
-#2350 := (~ #2349 #2348)
-#2345 := (not #1584)
-#2346 := (~ #2345 #2344)
-#2326 := (not #1581)
-#2342 := (~ #2326 #2339)
-#2316 := (exists (vars (?x53 T2)) #2315)
-#2324 := (or #2323 #2316)
-#2325 := (not #2324)
-#2340 := (~ #2325 #2339)
-#2336 := (not #2316)
-#2337 := (~ #2336 #2335)
-#2333 := (~ #2332 #2332)
-#2334 := [refl]: #2333
-#2338 := [nnf-neg #2334]: #2337
-#2330 := (~ #2329 #2329)
-#2331 := [refl]: #2330
-#2341 := [nnf-neg #2331 #2338]: #2340
-#2327 := (~ #2326 #2325)
-#2328 := [sk]: #2327
-#2343 := [trans #2328 #2341]: #2342
-#2302 := (not #1544)
-#2303 := (~ #2302 #1541)
-#2300 := (~ #1541 #1541)
-#2298 := (~ #1538 #1538)
-#2299 := [refl]: #2298
-#2301 := [nnf-pos #2299]: #2300
-#2304 := [nnf-neg #2301]: #2303
-#2347 := [nnf-neg #2304 #2343]: #2346
-#2294 := (~ #1544 #2293)
-#2295 := [sk]: #2294
-#2351 := [nnf-neg #2295 #2347]: #2350
-#2271 := (not #1520)
-#2272 := (~ #2271 #1517)
-#2269 := (~ #1517 #1517)
-#2267 := (~ #1512 #1512)
-#2268 := [refl]: #2267
-#2270 := [nnf-pos #2268]: #2269
-#2273 := [nnf-neg #2270]: #2272
-#2355 := [nnf-neg #2273 #2351]: #2354
-#2263 := (~ #1520 #2262)
-#2264 := [sk]: #2263
-#2359 := [nnf-neg #2264 #2355]: #2358
-#2244 := (not #1501)
-#2245 := (~ #2244 #1498)
-#2242 := (~ #1498 #1498)
-#2240 := (~ #1495 #1495)
-#2241 := [refl]: #2240
-#2243 := [nnf-pos #2241]: #2242
-#2246 := [nnf-neg #2243]: #2245
-#2363 := [nnf-neg #2246 #2359]: #2362
-#2236 := (~ #1501 #2235)
-#2237 := [sk]: #2236
-#2367 := [nnf-neg #2237 #2363]: #2366
-#2230 := (~ #2229 #2229)
-#2231 := [refl]: #2230
-#2371 := [nnf-neg #2231 #2367]: #2370
-#2227 := (~ #1492 #1492)
-#2228 := [refl]: #2227
-#2375 := [nnf-neg #2228 #2371]: #2374
-#2224 := (not #824)
-#2225 := (~ #2224 #642)
-#2222 := (~ #642 #642)
-#2220 := (~ #637 #637)
-#2221 := [refl]: #2220
-#2223 := [nnf-pos #2221]: #2222
-#2226 := [nnf-neg #2223]: #2225
-#2379 := [nnf-neg #2226 #2375]: #2378
-#2216 := (~ #824 #2215)
-#2217 := [sk]: #2216
-#2383 := [nnf-neg #2217 #2379]: #2382
-#2204 := (not #1487)
-#2205 := (~ #2204 #1484)
-#2202 := (~ #1484 #1484)
-#2200 := (~ #1479 #1479)
-#2201 := [refl]: #2200
-#2203 := [nnf-pos #2201]: #2202
-#2206 := [nnf-neg #2203]: #2205
-#2387 := [nnf-neg #2206 #2383]: #2386
-#2196 := (~ #1487 #2195)
-#2197 := [sk]: #2196
-#2391 := [nnf-neg #2197 #2387]: #2390
-#2186 := (not #1476)
-#2187 := (~ #2186 #1473)
-#2184 := (~ #1473 #1473)
-#2182 := (~ #1468 #1468)
-#2183 := [refl]: #2182
-#2185 := [nnf-pos #2183]: #2184
-#2188 := [nnf-neg #2185]: #2187
-#2180 := (~ #588 #588)
-#2181 := [refl]: #2180
-#2178 := (~ #2177 #2177)
-#2179 := [refl]: #2178
-#2428 := [nnf-neg #2179 #2181 #2188 #2391 #2398 #2405 #2407 #2424]: #2427
-#2569 := [nnf-neg #2428 #2565]: #2568
-#2174 := (not #1446)
-#2175 := (~ #2174 #2171)
-#2172 := (~ #1443 #2171)
-#2169 := (~ #1440 #2168)
-#2164 := (~ #1437 #2163)
-#2165 := [sk]: #2164
-#2150 := (~ #1413 #1413)
-#2151 := [refl]: #2150
-#2170 := [monotonicity #2151 #2165]: #2169
-#2173 := [nnf-pos #2170]: #2172
-#2176 := [nnf-neg #2173]: #2175
-#2147 := (not #1857)
-#2148 := (~ #2147 #2144)
-#2145 := (~ #1401 #2144)
-#2142 := (~ #1398 #2141)
-#2139 := (~ #1395 #1395)
-#2140 := [refl]: #2139
-#2135 := (~ #1383 #2134)
-#2136 := [sk]: #2135
-#2143 := [monotonicity #2136 #2140]: #2142
-#2146 := [nnf-pos #2143]: #2145
-#2149 := [nnf-neg #2146]: #2148
-#2121 := (~ #2120 #2120)
-#2122 := [refl]: #2121
-#2594 := [nnf-neg #2122 #2149 #2176 #2569 #2576 #2583 #2590]: #2593
-#2118 := (~ #1857 #2115)
-#2100 := (exists (vars (?x33 T2)) #2099)
-#2101 := (or #2100 #2090)
-#2102 := (not #2101)
-#2116 := (~ #2102 #2115)
-#2113 := (~ #2112 #2112)
-#2114 := [refl]: #2113
-#2109 := (not #2100)
-#2110 := (~ #2109 #2108)
-#2106 := (~ #2105 #2105)
-#2107 := [refl]: #2106
-#2111 := [nnf-neg #2107]: #2110
-#2117 := [nnf-neg #2111 #2114]: #2116
-#2103 := (~ #1857 #2102)
-#2104 := [sk]: #2103
-#2119 := [trans #2104 #2117]: #2118
-#2598 := [nnf-neg #2119 #2594]: #2597
-#2078 := (not #1363)
-#2079 := (~ #2078 #1360)
-#2076 := (~ #1360 #1360)
-#2074 := (~ #1357 #1357)
-#2075 := [refl]: #2074
-#2077 := [nnf-pos #2075]: #2076
-#2080 := [nnf-neg #2077]: #2079
-#2602 := [nnf-neg #2080 #2598]: #2601
-#2070 := (~ #1363 #2069)
-#2071 := [sk]: #2070
-#2606 := [nnf-neg #2071 #2602]: #2605
-#2048 := (not #1337)
-#2049 := (~ #2048 #1334)
-#2046 := (~ #1334 #1334)
-#2044 := (~ #1329 #1329)
-#2045 := [refl]: #2044
-#2047 := [nnf-pos #2045]: #2046
-#2050 := [nnf-neg #2047]: #2049
-#2610 := [nnf-neg #2050 #2606]: #2609
-#2040 := (~ #1337 #2039)
-#2041 := [sk]: #2040
-#2614 := [nnf-neg #2041 #2610]: #2613
-#2023 := (not #1317)
-#2024 := (~ #2023 #1314)
-#2021 := (~ #1314 #1314)
-#2019 := (~ #1313 #1313)
-#2020 := [refl]: #2019
-#2022 := [nnf-pos #2020]: #2021
-#2025 := [nnf-neg #2022]: #2024
-#2618 := [nnf-neg #2025 #2614]: #2617
-#2015 := (~ #1317 #2014)
-#2016 := [sk]: #2015
-#2622 := [nnf-neg #2016 #2618]: #2621
-#1970 := (~ #1969 #1969)
-#2010 := [refl]: #1970
-#2626 := [nnf-neg #2010 #2622]: #2625
-#2008 := (~ #1308 #1308)
-#2009 := [refl]: #2008
-#2629 := [nnf-neg #2009 #2626]: #2628
-#1944 := [not-or-elim #1940]: #1943
-#2630 := [mp~ #1944 #2629]: #2627
-#2631 := [mp #2630 #3161]: #3159
-#3803 := [mp #2631 #3802]: #3800
-#4734 := [mp #3803 #4733]: #4731
-#7295 := [unit-resolution #4734 #5487]: #4728
-#4058 := (or #4725 #4719)
-#4059 := [def-axiom]: #4058
-#7296 := [unit-resolution #4059 #7295]: #4719
-#373 := (<= uf_9 0::int)
-#374 := (not #373)
-#57 := (< 0::int uf_9)
-#375 := (iff #57 #374)
-#376 := [rewrite]: #375
-#369 := [asserted]: #57
-#377 := [mp #369 #376]: #374
-#5901 := (* -1::int #2012)
-#5891 := (+ uf_9 #5901)
-#5892 := (<= #5891 0::int)
-#5472 := (= uf_9 #2012)
-#5745 := (= uf_11 ?x27!0)
-#5918 := (not #5745)
-#5916 := (= #2012 0::int)
-#5836 := (not #5916)
-#5835 := [hypothesis]: #2014
-#5837 := (or #5836 #2013)
-#5896 := [th-lemma]: #5837
-#5922 := [unit-resolution #5896 #5835]: #5836
-#5981 := (or #5347 #5918 #5916)
-#5477 := (= ?x27!0 uf_11)
-#5917 := (not #5477)
-#5890 := (or #5917 #5916)
-#5982 := (or #5347 #5890)
-#5987 := (iff #5982 #5981)
-#5915 := (or #5918 #5916)
-#5984 := (or #5347 #5915)
-#5985 := (iff #5984 #5981)
-#5986 := [rewrite]: #5985
-#6000 := (iff #5982 #5984)
-#5921 := (iff #5890 #5915)
-#5919 := (iff #5917 #5918)
-#5743 := (iff #5477 #5745)
-#5746 := [rewrite]: #5743
-#5920 := [monotonicity #5746]: #5919
-#5980 := [monotonicity #5920]: #5921
-#5979 := [monotonicity #5980]: #6000
-#5988 := [trans #5979 #5986]: #5987
-#5983 := [quant-inst]: #5982
-#6010 := [mp #5983 #5988]: #5981
-#5923 := [unit-resolution #6010 #4740 #5922]: #5918
-#5748 := (or #5472 #5745)
-#4356 := (forall (vars (?x25 T2)) (:pat #4355) #443)
-#4359 := (iff #448 #4356)
-#4357 := (iff #443 #443)
-#4358 := [refl]: #4357
-#4360 := [quant-intro #4358]: #4359
-#1967 := (~ #448 #448)
-#2005 := (~ #443 #443)
-#2006 := [refl]: #2005
-#1968 := [nnf-pos #2006]: #1967
-#1942 := [not-or-elim #1940]: #448
-#2007 := [mp~ #1942 #1968]: #448
-#4361 := [mp #2007 #4360]: #4356
-#5821 := (not #4356)
-#5827 := (or #5821 #5472 #5745)
-#5737 := (or #5477 #5472)
-#5828 := (or #5821 #5737)
-#5894 := (iff #5828 #5827)
-#5830 := (or #5821 #5748)
-#5846 := (iff #5830 #5827)
-#5847 := [rewrite]: #5846
-#5826 := (iff #5828 #5830)
-#5756 := (iff #5737 #5748)
-#5736 := (or #5745 #5472)
-#5752 := (iff #5736 #5748)
-#5753 := [rewrite]: #5752
-#5747 := (iff #5737 #5736)
-#5744 := [monotonicity #5746]: #5747
-#5834 := [trans #5744 #5753]: #5756
-#5831 := [monotonicity #5834]: #5826
-#5895 := [trans #5831 #5847]: #5894
-#5829 := [quant-inst]: #5828
-#5900 := [mp #5829 #5895]: #5827
-#5924 := [unit-resolution #5900 #4361]: #5748
-#5989 := [unit-resolution #5924 #5923]: #5472
-#6012 := (not #5472)
-#6013 := (or #6012 #5892)
-#6014 := [th-lemma]: #6013
-#6042 := [unit-resolution #6014 #5989]: #5892
-#6011 := (<= #2012 0::int)
-#6043 := (or #6011 #2013)
-#6044 := [th-lemma]: #6043
-#6045 := [unit-resolution #6044 #5835]: #6011
-#6046 := [th-lemma #6045 #6042 #377]: false
-#6041 := [lemma #6046]: #2013
-#4053 := (or #4722 #2014 #4716)
-#4054 := [def-axiom]: #4053
-#7297 := [unit-resolution #4054 #6041 #7296]: #4716
-#4077 := (or #4713 #4707)
-#4078 := [def-axiom]: #4077
-#7298 := [unit-resolution #4078 #7297]: #4707
-#4071 := (or #4710 #2421 #4704)
-#4073 := [def-axiom]: #4071
-#7299 := [unit-resolution #4073 #7298 #7294]: #4704
-#4098 := (or #4701 #4695)
-#4099 := [def-axiom]: #4098
-#7300 := [unit-resolution #4099 #7299]: #4695
-#6817 := [hypothesis]: #2059
-#6051 := (or #5709 #3184)
-#6081 := [quant-inst]: #6051
-#6818 := [unit-resolution #6081 #4354 #6817]: false
-#6839 := [lemma #6818]: #3184
-#3960 := (or #3199 #2059)
-#3964 := [def-axiom]: #3960
-#7301 := [unit-resolution #3964 #6839]: #3199
-#4094 := (or #4698 #3204 #4692)
-#4095 := [def-axiom]: #4094
-#7302 := [unit-resolution #4095 #7301 #7300]: #4692
-#4108 := (or #4689 #4683)
-#4129 := [def-axiom]: #4108
-#7303 := [unit-resolution #4129 #7302]: #4683
-#6633 := (= uf_9 #2082)
-#6706 := (not #6633)
-#6684 := [hypothesis]: #4400
-#4274 := (or #4397 #2086)
-#3948 := [def-axiom]: #4274
-#6685 := [unit-resolution #3948 #6684]: #2086
-#6798 := (or #6706 #2085)
-#6840 := [th-lemma]: #6798
-#6835 := [unit-resolution #6840 #6685]: #6706
-#3949 := (or #4397 #2691)
-#4281 := [def-axiom]: #3949
-#6841 := [unit-resolution #4281 #6684]: #2691
-#6695 := (or #5821 #2688 #6633)
-#6680 := (or #2087 #6633)
-#6696 := (or #5821 #6680)
-#6732 := (iff #6696 #6695)
-#6548 := (or #2688 #6633)
-#6694 := (or #5821 #6548)
-#6699 := (iff #6694 #6695)
-#6705 := [rewrite]: #6699
-#6697 := (iff #6696 #6694)
-#6608 := (iff #6680 #6548)
-#6665 := [monotonicity #2690]: #6608
-#6698 := [monotonicity #6665]: #6697
-#6728 := [trans #6698 #6705]: #6732
-#6547 := [quant-inst]: #6696
-#6734 := [mp #6547 #6728]: #6695
-#6842 := [unit-resolution #6734 #4361 #6841 #6835]: false
-#6843 := [lemma #6842]: #4397
-#4116 := (or #4686 #4400 #4680)
-#4117 := [def-axiom]: #4116
-#7304 := [unit-resolution #4117 #6843 #7303]: #4680
-#4149 := (or #4677 #4404)
-#4145 := [def-axiom]: #4149
-#7305 := [unit-resolution #4145 #7304]: #4404
-#24124 := (or #4409 #20405)
-#25438 := [quant-inst]: #24124
-#29563 := [unit-resolution #25438 #7305]: #20405
-#15997 := (* -1::int #15996)
-#15993 := (uf_1 #15992 ?x52!15)
-#15994 := (uf_10 #15993)
-#15995 := (* -1::int #15994)
-#16012 := (+ #15995 #15997)
-#15362 := (uf_4 uf_14 ?x52!15)
-#16013 := (+ #15362 #16012)
-#22006 := (>= #16013 0::int)
-#16016 := (= #16013 0::int)
-#16019 := (not #16016)
-#16004 := (uf_6 uf_15 #15992)
-#16005 := (= uf_8 #16004)
-#16006 := (not #16005)
-#16002 := (+ #15362 #15997)
-#16003 := (<= #16002 0::int)
-#16025 := (or #16003 #16006 #16019)
-#16030 := (not #16025)
-#15397 := (* -1::int #15362)
-#16009 := (+ uf_9 #15397)
-#16010 := (<= #16009 0::int)
-#34324 := (not #16010)
-#15398 := (+ #2306 #15397)
-#14218 := (>= #15398 0::int)
-#15367 := (= #2306 #15362)
-decl uf_3 :: (-> T1 T2)
-#20604 := (uf_3 #15993)
-#32578 := (uf_6 uf_15 #20604)
-#32576 := (= uf_8 #32578)
-#5319 := (uf_6 #150 uf_16)
-#5314 := (= uf_8 #5319)
-decl uf_2 :: (-> T1 T2)
-#6008 := (uf_1 uf_16 uf_11)
-#7128 := (uf_2 #6008)
-#32602 := (= #7128 #20604)
-#32591 := (ite #32602 #5314 #32576)
-#7203 := (uf_7 uf_15 #7128 #5319)
-#32554 := (uf_6 #7203 #20604)
-#32538 := (= uf_8 #32554)
-#32564 := (iff #32538 #32591)
+#194 := (uf_7 uf_15 uf_22 uf_8)
+#3894 := (uf_6 #194 uf_22)
+#3895 := (= uf_8 #3894)
+#10330 := (ite #10319 #3895 #9519)
+#10323 := (uf_7 uf_15 #9695 #3894)
+#10324 := (uf_6 #10323 ?x63!14)
+#10327 := (= uf_8 #10324)
+#10333 := (iff #10327 #10330)
 #30 := (:var 1 T5)
 #20 := (:var 2 T2)
 #29 := (:var 3 T4)
 #31 := (uf_7 #29 #20 #30)
 #32 := (uf_6 #31 #11)
-#4314 := (pattern #32)
+#4216 := (pattern #32)
 #36 := (uf_6 #29 #11)
 #335 := (= uf_8 #36)
 #35 := (= #30 uf_8)
@@ -4239,16 +241,16 @@
 #338 := (ite #24 #35 #335)
 #34 := (= #32 uf_8)
 #341 := (iff #34 #338)
-#4315 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) (:pat #4314) #341)
+#4217 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) (:pat #4216) #341)
 #344 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) #341)
-#4318 := (iff #344 #4315)
-#4316 := (iff #341 #341)
-#4317 := [refl]: #4316
-#4319 := [quant-intro #4317]: #4318
-#1953 := (~ #344 #344)
-#1989 := (~ #341 #341)
-#1990 := [refl]: #1989
-#1954 := [nnf-pos #1990]: #1953
+#4220 := (iff #344 #4217)
+#4218 := (iff #341 #341)
+#4219 := [refl]: #4218
+#4221 := [quant-intro #4219]: #4220
+#1848 := (~ #344 #344)
+#1884 := (~ #341 #341)
+#1885 := [refl]: #1884
+#1849 := [nnf-pos #1885]: #1848
 #37 := (= #36 uf_8)
 #38 := (ite #24 #35 #37)
 #39 := (iff #34 #38)
@@ -4263,460 +265,4364 @@
 #346 := [quant-intro #343]: #345
 #333 := [asserted]: #40
 #349 := [mp #333 #346]: #344
-#1991 := [mp~ #349 #1954]: #344
-#4320 := [mp #1991 #4319]: #4315
-#7026 := (not #4315)
-#32561 := (or #7026 #32564)
-#6089 := (= #5319 uf_8)
-#32580 := (= #20604 #7128)
-#32553 := (ite #32580 #6089 #32576)
-#32556 := (= #32554 uf_8)
-#32579 := (iff #32556 #32553)
-#32603 := (or #7026 #32579)
-#32548 := (iff #32603 #32561)
-#32606 := (iff #32561 #32561)
-#32631 := [rewrite]: #32606
-#32629 := (iff #32579 #32564)
-#32535 := (iff #32553 #32591)
-#6101 := (iff #6089 #5314)
-#6102 := [rewrite]: #6101
-#32601 := (iff #32580 #32602)
-#32563 := [rewrite]: #32601
-#32560 := [monotonicity #32563 #6102]: #32535
-#32537 := (iff #32556 #32538)
-#32557 := [rewrite]: #32537
-#32565 := [monotonicity #32557 #32560]: #32629
-#32587 := [monotonicity #32565]: #32548
-#32604 := [trans #32587 #32631]: #32548
-#32558 := [quant-inst]: #32603
-#32623 := [mp #32558 #32604]: #32561
-#32954 := [unit-resolution #32623 #4320]: #32564
-#30313 := (not #32538)
-#8488 := (uf_6 uf_17 ?x52!15)
-#9319 := (= uf_8 #8488)
-#9846 := (not #9319)
-#32968 := (iff #9846 #30313)
-#32955 := (iff #9319 #32538)
-#32985 := (iff #32538 #9319)
-#32980 := (= #32554 #8488)
-#32983 := (= #20604 ?x52!15)
-#20605 := (= ?x52!15 #20604)
-#12 := (uf_1 #10 #11)
-#4294 := (pattern #12)
-#13 := (uf_3 #12)
-#317 := (= #11 #13)
-#4295 := (forall (vars (?x2 T2) (?x3 T2)) (:pat #4294) #317)
-#321 := (forall (vars (?x2 T2) (?x3 T2)) #317)
-#4298 := (iff #321 #4295)
-#4296 := (iff #317 #317)
-#4297 := [refl]: #4296
-#4299 := [quant-intro #4297]: #4298
-#1948 := (~ #321 #321)
-#1980 := (~ #317 #317)
-#1981 := [refl]: #1980
-#1946 := [nnf-pos #1981]: #1948
-#14 := (= #13 #11)
-#15 := (forall (vars (?x2 T2) (?x3 T2)) #14)
-#322 := (iff #15 #321)
-#319 := (iff #14 #317)
-#320 := [rewrite]: #319
-#323 := [quant-intro #320]: #322
-#316 := [asserted]: #15
-#326 := [mp #316 #323]: #321
-#1982 := [mp~ #326 #1946]: #321
-#4300 := [mp #1982 #4299]: #4295
-#5378 := (not #4295)
-#27981 := (or #5378 #20605)
-#27945 := [quant-inst]: #27981
-#32953 := [unit-resolution #27945 #4300]: #20605
-#32984 := [symm #32953]: #32983
-#8596 := (= #7203 uf_17)
-#8594 := (= #150 uf_17)
-#4147 := (or #4677 #109)
-#4148 := [def-axiom]: #4147
-#7307 := [unit-resolution #4148 #7304]: #109
-#4150 := (or #4677 #4412)
-#4130 := [def-axiom]: #4150
-#8027 := [unit-resolution #4130 #7304]: #4412
-#4137 := (or #4677 #4437)
-#4132 := [def-axiom]: #4137
-#8030 := [unit-resolution #4132 #7304]: #4437
-#5284 := (or #4665 #4442 #4417 #1854)
-#4776 := (uf_4 uf_14 ?x64!17)
-#4777 := (* -1::int #4776)
-#4778 := (+ uf_9 #4777)
-#4779 := (<= #4778 0::int)
-#4845 := (?x40!7 ?x64!17)
-#4941 := (uf_6 uf_15 #4845)
-#4942 := (= uf_8 #4941)
-#4943 := (not #4942)
-#4848 := (uf_4 uf_14 #4845)
-#4849 := (* -1::int #4848)
-#4939 := (+ #4776 #4849)
-#4940 := (<= #4939 0::int)
-#4846 := (uf_1 #4845 ?x64!17)
-#4847 := (uf_10 #4846)
-#4842 := (* -1::int #4847)
-#4926 := (+ #4842 #4849)
-#4927 := (+ #4776 #4926)
-#4930 := (= #4927 0::int)
-#4932 := (not #4930)
-#5006 := (or #4932 #4940 #4943)
-#5242 := [hypothesis]: #4668
-#4159 := (or #4665 #933)
-#4154 := [def-axiom]: #4159
-#5243 := [unit-resolution #4154 #5242]: #933
-#4134 := (or #4665 #4659)
-#4135 := [def-axiom]: #4134
-#5244 := [unit-resolution #4135 #5242]: #4659
-#5245 := [hypothesis]: #109
-#5247 := (= #250 #108)
-#5246 := [symm #5243]: #231
-#5248 := [monotonicity #5246]: #5247
-#5249 := [trans #5248 #5245]: #251
-#4193 := (or #4641 #2536)
-#4198 := [def-axiom]: #4193
-#5250 := [unit-resolution #4198 #5249]: #4641
-#5087 := [hypothesis]: #4412
-#4160 := (or #4665 #4601)
-#4133 := [def-axiom]: #4160
-#5230 := [unit-resolution #4133 #5242]: #4601
-#5100 := (or #3693 #4417 #4606 #1053)
-#4862 := (uf_4 uf_14 ?x67!19)
-#3931 := (uf_4 uf_14 ?x66!20)
-#3932 := (* -1::int #3931)
-#4955 := (+ #3932 #4862)
-#4956 := (+ #2517 #4955)
-#4959 := (>= #4956 0::int)
-#4866 := (uf_6 uf_15 ?x67!19)
-#4867 := (= uf_8 #4866)
-#4863 := (* -1::int #4862)
-#4864 := (+ uf_9 #4863)
-#4865 := (<= #4864 0::int)
-#5068 := (not #4865)
-#5072 := [hypothesis]: #3698
-#4189 := (or #3693 #2523)
-#4186 := [def-axiom]: #4189
-#5073 := [unit-resolution #4186 #5072]: #2523
-#5061 := (+ #2514 #4863)
-#5063 := (>= #5061 0::int)
-#5060 := (= #2514 #4862)
-#5075 := (= #4862 #2514)
-#5074 := [hypothesis]: #933
-#5076 := [monotonicity #5074]: #5075
-#5077 := [symm #5076]: #5060
-#5078 := (not #5060)
-#5079 := (or #5078 #5063)
-#5080 := [th-lemma]: #5079
-#5081 := [unit-resolution #5080 #5077]: #5063
-#5069 := (not #5063)
-#5070 := (or #5068 #5069 #2522)
-#5064 := [hypothesis]: #2523
-#5065 := [hypothesis]: #4865
-#5066 := [hypothesis]: #5063
-#5067 := [th-lemma #5066 #5065 #5064]: false
-#5071 := [lemma #5067]: #5070
-#5082 := [unit-resolution #5071 #5081 #5073]: #5068
-#4869 := (or #4865 #4867)
-#5083 := [hypothesis]: #4601
-#4872 := (or #4606 #4865 #4867)
-#4868 := (or #4867 #4865)
-#4873 := (or #4606 #4868)
-#4880 := (iff #4873 #4872)
-#4875 := (or #4606 #4869)
-#4878 := (iff #4875 #4872)
-#4879 := [rewrite]: #4878
-#4876 := (iff #4873 #4875)
-#4870 := (iff #4868 #4869)
-#4871 := [rewrite]: #4870
-#4877 := [monotonicity #4871]: #4876
-#4881 := [trans #4877 #4879]: #4880
-#4874 := [quant-inst]: #4873
-#4882 := [mp #4874 #4881]: #4872
-#5084 := [unit-resolution #4882 #5083]: #4869
-#5085 := [unit-resolution #5084 #5082]: #4867
-#4953 := (not #4867)
-#5088 := (or #4953 #4959)
-#4190 := (or #3693 #2527)
-#4170 := [def-axiom]: #4190
-#5086 := [unit-resolution #4170 #5072]: #2527
-#4970 := (or #4417 #2526 #4953 #4959)
-#4948 := (+ #4862 #3932)
-#4949 := (+ #2517 #4948)
-#4952 := (>= #4949 0::int)
-#4954 := (or #4953 #2526 #4952)
-#4971 := (or #4417 #4954)
-#4978 := (iff #4971 #4970)
-#4965 := (or #2526 #4953 #4959)
-#4973 := (or #4417 #4965)
-#4976 := (iff #4973 #4970)
-#4977 := [rewrite]: #4976
-#4974 := (iff #4971 #4973)
-#4968 := (iff #4954 #4965)
-#4962 := (or #4953 #2526 #4959)
-#4966 := (iff #4962 #4965)
-#4967 := [rewrite]: #4966
-#4963 := (iff #4954 #4962)
-#4960 := (iff #4952 #4959)
-#4957 := (= #4949 #4956)
-#4958 := [rewrite]: #4957
-#4961 := [monotonicity #4958]: #4960
-#4964 := [monotonicity #4961]: #4963
-#4969 := [trans #4964 #4967]: #4968
-#4975 := [monotonicity #4969]: #4974
-#4979 := [trans #4975 #4977]: #4978
-#4972 := [quant-inst]: #4971
-#4980 := [mp #4972 #4979]: #4970
-#5089 := [unit-resolution #4980 #5087 #5086]: #5088
-#5090 := [unit-resolution #5089 #5085]: #4959
-#4171 := (not #3096)
-#4173 := (or #3693 #4171)
-#4174 := [def-axiom]: #4173
-#5091 := [unit-resolution #4174 #5072]: #4171
-#5054 := (+ #2512 #3932)
-#5058 := (<= #5054 0::int)
-#5053 := (= #2512 #3931)
-#5092 := (= #3931 #2512)
-#5093 := [monotonicity #5074]: #5092
-#5094 := [symm #5093]: #5053
-#5095 := (not #5053)
-#5096 := (or #5095 #5058)
-#5097 := [th-lemma]: #5096
-#5098 := [unit-resolution #5097 #5094]: #5058
-#5099 := [th-lemma #5098 #5091 #5081 #5090]: false
-#5101 := [lemma #5099]: #5100
-#5231 := [unit-resolution #5101 #5230 #5087 #5243]: #3693
-#4181 := (or #4650 #4644 #3698)
-#4182 := [def-axiom]: #4181
-#5232 := [unit-resolution #4182 #5231 #5250]: #4650
-#4161 := (or #4653 #4647)
-#4162 := [def-axiom]: #4161
-#5233 := [unit-resolution #4162 #5232]: #4653
-#4169 := (or #4662 #4622 #4656)
-#4155 := [def-axiom]: #4169
-#5234 := [unit-resolution #4155 #5233 #5244]: #4622
-#4194 := (or #4619 #4611)
-#4195 := [def-axiom]: #4194
-#5229 := [unit-resolution #4195 #5234]: #4611
-#5713 := (or #5006 #4616 #1053)
-#5123 := (uf_4 uf_22 #4845)
-#5136 := (* -1::int #5123)
-#5137 := (+ #2448 #5136)
-#5138 := (<= #5137 0::int)
-#5150 := (+ #4842 #5136)
-#5151 := (+ #2448 #5150)
-#5152 := (= #5151 0::int)
-#5382 := (+ #4848 #5136)
-#5387 := (>= #5382 0::int)
-#5381 := (= #4848 #5123)
-#5643 := (= #5123 #4848)
-#5642 := [symm #5074]: #231
-#5644 := [monotonicity #5642]: #5643
-#5645 := [symm #5644]: #5381
-#5646 := (not #5381)
-#5647 := (or #5646 #5387)
-#5648 := [th-lemma]: #5647
-#5649 := [unit-resolution #5648 #5645]: #5387
-#5119 := (+ #2448 #4777)
-#5121 := (>= #5119 0::int)
-#5118 := (= #2448 #4776)
-#5629 := (= #4776 #2448)
-#5630 := [monotonicity #5074]: #5629
-#5631 := [symm #5630]: #5118
-#5632 := (not #5118)
-#5633 := (or #5632 #5121)
-#5628 := [th-lemma]: #5633
-#5634 := [unit-resolution #5628 #5631]: #5121
-#5040 := (>= #4927 0::int)
-#5005 := (not #5006)
-#5635 := [hypothesis]: #5005
-#5042 := (or #5006 #4930)
-#5043 := [def-axiom]: #5042
-#5636 := [unit-resolution #5043 #5635]: #4930
-#5637 := (or #4932 #5040)
-#5638 := [th-lemma]: #5637
-#5653 := [unit-resolution #5638 #5636]: #5040
-#5386 := (<= #5382 0::int)
-#5654 := (or #5646 #5386)
-#5675 := [th-lemma]: #5654
-#5676 := [unit-resolution #5675 #5645]: #5386
-#5120 := (<= #5119 0::int)
-#5677 := (or #5632 #5120)
-#5678 := [th-lemma]: #5677
-#5679 := [unit-resolution #5678 #5631]: #5120
-#5034 := (<= #4927 0::int)
-#5674 := (or #4932 #5034)
-#5680 := [th-lemma]: #5674
-#5681 := [unit-resolution #5680 #5636]: #5034
-#5562 := (not #5387)
-#5567 := (not #5121)
-#5566 := (not #5040)
-#5779 := (not #5386)
-#5778 := (not #5120)
-#5777 := (not #5034)
-#5572 := (or #5152 #5777 #5778 #5779 #5566 #5567 #5562)
-#5774 := [hypothesis]: #5386
-#5775 := [hypothesis]: #5120
-#5776 := [hypothesis]: #5034
-#5157 := (not #5152)
-#5772 := [hypothesis]: #5157
-#5175 := (>= #5151 0::int)
-#5563 := [hypothesis]: #5387
-#5564 := [hypothesis]: #5121
-#5565 := [hypothesis]: #5040
-#5568 := (or #5175 #5566 #5567 #5562)
-#5569 := [th-lemma]: #5568
-#5570 := [unit-resolution #5569 #5565 #5564 #5563]: #5175
-#5784 := (not #5175)
-#5788 := (or #5784 #5152 #5777 #5778 #5779)
-#5773 := [hypothesis]: #5175
-#5174 := (<= #5151 0::int)
-#5780 := (or #5174 #5777 #5778 #5779)
-#5781 := [th-lemma]: #5780
-#5782 := [unit-resolution #5781 #5776 #5775 #5774]: #5174
-#5783 := (not #5174)
-#5785 := (or #5152 #5783 #5784)
-#5786 := [th-lemma]: #5785
-#5787 := [unit-resolution #5786 #5782 #5773 #5772]: false
-#5789 := [lemma #5787]: #5788
-#5571 := [unit-resolution #5789 #5570 #5772 #5776 #5775 #5774]: false
-#5641 := [lemma #5571]: #5572
-#5682 := [unit-resolution #5641 #5681 #5679 #5676 #5653 #5634 #5649]: #5152
-#5160 := (or #5138 #5157)
-#5683 := [hypothesis]: #4611
-#5163 := (or #4616 #5138 #5157)
-#5122 := (+ #2449 #4847)
-#5124 := (+ #5123 #5122)
-#5125 := (= #5124 0::int)
-#5126 := (not #5125)
-#5127 := (+ #5123 #2449)
-#5128 := (>= #5127 0::int)
-#5129 := (or #5128 #5126)
-#5164 := (or #4616 #5129)
-#5171 := (iff #5164 #5163)
-#5166 := (or #4616 #5160)
-#5169 := (iff #5166 #5163)
-#5170 := [rewrite]: #5169
-#5167 := (iff #5164 #5166)
-#5161 := (iff #5129 #5160)
-#5158 := (iff #5126 #5157)
-#5155 := (iff #5125 #5152)
-#5143 := (+ #4847 #5123)
-#5144 := (+ #2449 #5143)
-#5147 := (= #5144 0::int)
-#5153 := (iff #5147 #5152)
-#5154 := [rewrite]: #5153
-#5148 := (iff #5125 #5147)
-#5145 := (= #5124 #5144)
-#5146 := [rewrite]: #5145
-#5149 := [monotonicity #5146]: #5148
-#5156 := [trans #5149 #5154]: #5155
-#5159 := [monotonicity #5156]: #5158
-#5141 := (iff #5128 #5138)
-#5130 := (+ #2449 #5123)
-#5133 := (>= #5130 0::int)
-#5139 := (iff #5133 #5138)
-#5140 := [rewrite]: #5139
-#5134 := (iff #5128 #5133)
-#5131 := (= #5127 #5130)
-#5132 := [rewrite]: #5131
-#5135 := [monotonicity #5132]: #5134
-#5142 := [trans #5135 #5140]: #5141
-#5162 := [monotonicity #5142 #5159]: #5161
-#5168 := [monotonicity #5162]: #5167
-#5172 := [trans #5168 #5170]: #5171
-#5165 := [quant-inst]: #5164
-#5173 := [mp #5165 #5172]: #5163
-#5684 := [unit-resolution #5173 #5683]: #5160
-#5710 := [unit-resolution #5684 #5682]: #5138
-#5041 := (not #4940)
-#5044 := (or #5006 #5041)
-#5045 := [def-axiom]: #5044
-#5711 := [unit-resolution #5045 #5635]: #5041
-#5712 := [th-lemma #5634 #5711 #5649 #5710]: false
-#5714 := [lemma #5712]: #5713
-#5235 := [unit-resolution #5714 #5229 #5243]: #5006
-#5238 := (or #4779 #5005)
-#4191 := (or #4619 #2996)
-#4192 := [def-axiom]: #4191
-#5236 := [unit-resolution #4192 #5234]: #2996
-#5237 := [hypothesis]: #4437
-#5023 := (or #4442 #2993 #4779 #5005)
-#4850 := (+ #4849 #4842)
-#4851 := (+ #4776 #4850)
-#4852 := (= #4851 0::int)
-#4938 := (not #4852)
-#4944 := (or #4943 #4940 #4938)
-#4945 := (not #4944)
-#4946 := (or #2462 #4779 #4945)
-#5025 := (or #4442 #4946)
-#5031 := (iff #5025 #5023)
-#5013 := (or #2993 #4779 #5005)
-#5027 := (or #4442 #5013)
-#5024 := (iff #5027 #5023)
-#5030 := [rewrite]: #5024
-#5028 := (iff #5025 #5027)
-#5014 := (iff #4946 #5013)
-#5011 := (iff #4945 #5005)
-#5009 := (iff #4944 #5006)
-#4935 := (or #4943 #4940 #4932)
-#5007 := (iff #4935 #5006)
-#5008 := [rewrite]: #5007
-#4950 := (iff #4944 #4935)
-#4933 := (iff #4938 #4932)
-#4925 := (iff #4852 #4930)
-#4928 := (= #4851 #4927)
-#4929 := [rewrite]: #4928
-#4931 := [monotonicity #4929]: #4925
-#4934 := [monotonicity #4931]: #4933
-#4951 := [monotonicity #4934]: #4950
-#5010 := [trans #4951 #5008]: #5009
-#5012 := [monotonicity #5010]: #5011
-#5015 := [monotonicity #2995 #5012]: #5014
-#5029 := [monotonicity #5015]: #5028
-#5032 := [trans #5029 #5030]: #5031
-#5026 := [quant-inst]: #5025
-#5033 := [mp #5026 #5032]: #5023
-#5239 := [unit-resolution #5033 #5237 #5236]: #5238
-#5254 := [unit-resolution #5239 #5235]: #4779
-#4200 := (or #4619 #2461)
-#4207 := [def-axiom]: #4200
-#5255 := [unit-resolution #4207 #5234]: #2461
-#5280 := [monotonicity #5243]: #5629
-#5281 := [symm #5280]: #5118
-#5282 := [unit-resolution #5628 #5281]: #5121
-#5283 := [th-lemma #5282 #5255 #5254]: false
-#5279 := [lemma #5283]: #5284
-#8031 := [unit-resolution #5279 #8030 #8027 #7307]: #4665
-#4138 := (or #4677 #4671)
-#4106 := [def-axiom]: #4138
-#7357 := [unit-resolution #4106 #7304]: #4671
-#4143 := (or #4674 #4598 #4668)
-#4144 := [def-axiom]: #4143
-#7389 := [unit-resolution #4144 #7357 #8031]: #4598
-#4125 := (or #4595 #151)
-#4126 := [def-axiom]: #4125
-#8578 := [unit-resolution #4126 #7389]: #151
-#8595 := [symm #8578]: #8594
-#8592 := (= #7203 #150)
+#1886 := [mp~ #349 #1849]: #344
+#4222 := [mp #1886 #4221]: #4217
+#4987 := (not #4217)
+#13028 := (or #4987 #10333)
+#4958 := (= #3894 uf_8)
+#10322 := (ite #10319 #4958 #9519)
+#10325 := (= #10324 uf_8)
+#10326 := (iff #10325 #10322)
+#13031 := (or #4987 #10326)
+#13033 := (iff #13031 #13028)
+#13035 := (iff #13028 #13028)
+#13036 := [rewrite]: #13035
+#10334 := (iff #10326 #10333)
+#10331 := (iff #10322 #10330)
+#4970 := (iff #4958 #3895)
+#4971 := [rewrite]: #4970
+#10332 := [monotonicity #4971]: #10331
+#10328 := (iff #10325 #10327)
+#10329 := [rewrite]: #10328
+#10335 := [monotonicity #10329 #10332]: #10334
+#13034 := [monotonicity #10335]: #13033
+#13037 := [trans #13034 #13036]: #13033
+#13032 := [quant-inst]: #13031
+#13051 := [mp #13032 #13037]: #13028
+#13579 := [unit-resolution #13051 #4222]: #10333
+#13595 := (= #2257 #10324)
+#13584 := (= #10324 #2257)
+#13582 := (= #10323 uf_23)
+#7680 := (= #194 uf_23)
+#195 := (= uf_23 #194)
+#4549 := (or #2877 #4546)
+#4552 := (not #4549)
+#1480 := (* -1::int #202)
+#1481 := (+ #110 #1480)
+#1479 := (>= #1481 0::int)
+#4444 := (forall (vars (?x61 T2)) (:pat #4305 #4426) #1479)
+#4449 := (not #4444)
+#4555 := (or #4449 #4552)
+#4558 := (not #4555)
+decl ?x61!13 :: T2
+#2238 := ?x61!13
+#2241 := (uf_4 uf_14 ?x61!13)
+#2856 := (* -1::int #2241)
+#2239 := (uf_24 ?x61!13)
+#2857 := (+ #2239 #2856)
+#2858 := (<= #2857 0::int)
+#2863 := (not #2858)
+#4561 := (or #2863 #4558)
+#4564 := (not #4561)
+#196 := (uf_1 uf_22 #11)
+#4427 := (pattern #196)
+#197 := (uf_10 #196)
+#1623 := (+ #197 #1480)
+#1624 := (+ #188 #1623)
+#1625 := (= #1624 0::int)
+#1449 := (* -1::int #197)
+#1455 := (* -1::int #188)
+#1456 := (+ #1455 #1449)
+#1457 := (+ #110 #1456)
+#1458 := (<= #1457 0::int)
+#1450 := (+ uf_9 #1449)
+#1451 := (<= #1450 0::int)
+#3425 := (or #1451 #1458 #1625)
+#4436 := (forall (vars (?x59 T2)) (:pat #4427 #4305 #4426) #3425)
+#4441 := (not #4436)
+#3405 := (or #1451 #1458)
+#3406 := (not #3405)
+#3409 := (or #759 #3406)
+#4428 := (forall (vars (?x60 T2)) (:pat #4305 #4426 #4427) #3409)
+#4433 := (not #4428)
+decl ?x48!12 :: T2
+#2214 := ?x48!12
+#2220 := (uf_6 uf_15 ?x48!12)
+#2221 := (= uf_8 #2220)
+#2215 := (uf_4 uf_14 ?x48!12)
+#2216 := (* -1::int #2215)
+#2217 := (+ uf_9 #2216)
+#2218 := (<= #2217 0::int)
+#1655 := (+ uf_9 #1455)
+#1656 := (<= #1655 0::int)
+#114 := (uf_6 uf_15 #11)
+#4347 := (pattern #114)
+#1638 := (+ #110 #1455)
+#1637 := (>= #1638 0::int)
+#478 := (= uf_8 #114)
+#1644 := (or #478 #1637)
+#4418 := (forall (vars (?x58 T2)) (:pat #4347 #4305) #1644)
+#4423 := (not #4418)
+#185 := (uf_6 uf_15 uf_22)
+#728 := (= uf_8 #185)
+#981 := (not #195)
+#4567 := (or #981 #728 #4423 #1656 #2218 #2221 #4433 #4441 #4564)
+#4570 := (not #4567)
+decl ?x53!11 :: T2
+#2148 := ?x53!11
+decl ?x54!10 :: T2
+#2147 := ?x54!10
+#2153 := (uf_1 ?x54!10 ?x53!11)
+#2154 := (uf_10 #2153)
+#2161 := (* -1::int #2154)
+decl uf_19 :: T3
+#146 := uf_19
+#2151 := (uf_4 uf_19 ?x54!10)
+#2157 := (* -1::int #2151)
+#2813 := (+ #2157 #2161)
+#2149 := (uf_4 uf_19 ?x53!11)
+#2814 := (+ #2149 #2813)
+#2815 := (<= #2814 0::int)
+#2162 := (+ uf_9 #2161)
+#2163 := (<= #2162 0::int)
+#2158 := (+ uf_9 #2157)
+#2159 := (<= #2158 0::int)
+#3369 := (or #2159 #2163 #2815)
+#3374 := (not #3369)
+#154 := (uf_4 uf_19 #10)
+#1357 := (* -1::int #154)
+#151 := (uf_4 uf_19 #11)
+#1358 := (+ #151 #1357)
+#1364 := (+ #91 #1358)
+#1387 := (>= #1364 0::int)
+#1344 := (* -1::int #151)
+#1345 := (+ uf_9 #1344)
+#1346 := (<= #1345 0::int)
+#3337 := (or #1237 #1346 #1387)
+#4380 := (forall (vars (?x53 T2) (?x54 T2)) (:pat #4281) #3337)
+#4385 := (not #4380)
+#166 := (uf_4 uf_19 uf_11)
+#167 := (= #166 0::int)
+#4388 := (or #167 #4385)
+#4391 := (not #4388)
+#4394 := (or #4391 #3374)
+#4397 := (not #4394)
+#4356 := (pattern #151)
+decl ?x50!9 :: (-> T2 T2)
+#2124 := (?x50!9 #11)
+#2127 := (uf_1 #2124 #11)
+#2128 := (uf_10 #2127)
+#2783 := (* -1::int #2128)
+#2125 := (uf_4 uf_19 #2124)
+#2766 := (* -1::int #2125)
+#2784 := (+ #2766 #2783)
+#2785 := (+ #151 #2784)
+#2786 := (= #2785 0::int)
+#3307 := (not #2786)
+#2767 := (+ #151 #2766)
+#2768 := (<= #2767 0::int)
+#3308 := (or #2768 #3307)
+#3309 := (not #3308)
+#68 := (= #11 uf_11)
+#3315 := (or #68 #1346 #3309)
+#4372 := (forall (vars (?x49 T2)) (:pat #4356) #3315)
+#4377 := (not #4372)
+#4400 := (or #4377 #4397)
+#4403 := (not #4400)
+decl ?x49!8 :: T2
+#2084 := ?x49!8
+#2088 := (uf_1 #11 ?x49!8)
+#4357 := (pattern #2088)
+#2089 := (uf_10 #2088)
+#2085 := (uf_4 uf_19 ?x49!8)
+#2086 := (* -1::int #2085)
+#2736 := (+ #2086 #2089)
+#2737 := (+ #151 #2736)
+#2740 := (= #2737 0::int)
+#3271 := (not #2740)
+#2087 := (+ #151 #2086)
+#2092 := (>= #2087 0::int)
+#3272 := (or #2092 #3271)
+#4358 := (forall (vars (?x50 T2)) (:pat #4356 #4357) #3272)
+#4363 := (not #4358)
+#2712 := (= uf_11 ?x49!8)
+#2096 := (+ uf_9 #2086)
+#2097 := (<= #2096 0::int)
+#4366 := (or #2097 #2712 #4363)
+#4369 := (not #4366)
+#4406 := (or #4369 #4403)
+#4409 := (not #4406)
+#1299 := (* -1::int #110)
+#1300 := (+ uf_9 #1299)
+#1301 := (<= #1300 0::int)
+#3257 := (or #478 #1301)
+#4348 := (forall (vars (?x48 T2)) (:pat #4347 #4305) #3257)
+#4353 := (not #4348)
+#569 := (= uf_14 uf_19)
+#674 := (not #569)
+decl uf_16 :: T4
+#141 := uf_16
+#566 := (= uf_15 uf_16)
+#692 := (not #566)
+decl uf_21 :: T3
+#149 := uf_21
+decl uf_20 :: T3
+#148 := uf_20
+#150 := (= uf_20 uf_21)
+#665 := (not #150)
+decl uf_18 :: T2
+#144 := uf_18
+decl uf_17 :: T2
+#143 := uf_17
+#145 := (= uf_17 uf_18)
+#683 := (not #145)
+#4412 := (or #683 #665 #692 #674 #4353 #4409)
+#108 := (uf_4 uf_14 uf_11)
+#109 := (= #108 0::int)
+#4415 := (not #4412)
+#4573 := (or #4415 #4570)
+#4576 := (not #4573)
+decl ?x47!7 :: (-> T2 T2)
+#2047 := (?x47!7 #11)
+#2048 := (uf_4 uf_14 #2047)
+#2671 := (* -1::int #2048)
+#2686 := (+ #110 #2671)
+#2687 := (<= #2686 0::int)
+#2052 := (uf_1 #2047 #11)
+#2053 := (uf_10 #2052)
+#2672 := (* -1::int #2053)
+#2673 := (+ #2671 #2672)
+#2674 := (+ #110 #2673)
+#2675 := (= #2674 0::int)
+#3241 := (not #2675)
+#2056 := (uf_6 uf_15 #2047)
+#2057 := (= uf_8 #2056)
+#3240 := (not #2057)
+#3242 := (or #3240 #3241 #2687)
+#3243 := (not #3242)
+#3249 := (or #68 #1301 #3243)
+#4339 := (forall (vars (?x46 T2)) (:pat #4305) #3249)
+#4344 := (not #4339)
+decl uf_12 :: (-> T2 int)
+#69 := (uf_12 #11)
+#4257 := (pattern #69)
+decl ?x38!6 :: (-> T2 T2)
+#2020 := (?x38!6 #11)
+#2024 := (uf_12 #2020)
+#2630 := (* -1::int #2024)
+#2021 := (uf_1 #2020 #11)
+#2022 := (uf_10 #2021)
+#2647 := (* -1::int #2022)
+#2648 := (+ #2647 #2630)
+#2649 := (+ #69 #2648)
+#2650 := (= #2649 0::int)
+#3213 := (not #2650)
+#2631 := (+ #69 #2630)
+#2632 := (<= #2631 0::int)
+decl up_13 :: (-> T2 bool)
+#2030 := (up_13 #2020)
+#3212 := (not #2030)
+#3214 := (or #3212 #2632 #3213)
+#3215 := (not #3214)
+#1261 := (* -1::int #69)
+#1262 := (+ uf_9 #1261)
+#1263 := (<= #1262 0::int)
+#3221 := (or #68 #1263 #3215)
+#4331 := (forall (vars (?x37 T2)) (:pat #4257) #3221)
+#4336 := (not #4331)
+#117 := (uf_6 uf_15 #10)
+#4322 := (pattern #114 #117)
+#120 := (uf_4 uf_14 #10)
+#1313 := (* -1::int #120)
+#1314 := (+ #110 #1313)
+#1317 := (>= #1314 0::int)
+#484 := (= uf_8 #117)
+#3178 := (not #484)
+#3193 := (or #478 #3178 #1317)
+#4323 := (forall (vars (?x42 T2) (?x43 T2)) (:pat #4322) #3193)
+#4328 := (not #4323)
+#1315 := (+ #91 #1314)
+#1710 := (>= #1315 0::int)
+#481 := (not #478)
+#3170 := (or #481 #1237 #1710)
+#4314 := (forall (vars (?x44 T2) (?x45 T2)) (:pat #4281) #3170)
+#4319 := (not #4314)
+#1738 := (>= #110 0::int)
+#4306 := (forall (vars (?x41 T2)) (:pat #4305) #1738)
+#4311 := (not #4306)
+#1749 := (not #109)
+#4579 := (or #1749 #4311 #4319 #4328 #4336 #4344 #4576)
+#4582 := (not #4579)
+decl ?x37!5 :: T2
+#1976 := ?x37!5
+#1977 := (uf_1 #11 ?x37!5)
+#4290 := (pattern #1977)
+#77 := (up_13 #11)
+#4250 := (pattern #77)
+#1979 := (uf_12 ?x37!5)
+#1980 := (* -1::int #1979)
+#1978 := (uf_10 #1977)
+#2598 := (+ #1978 #1980)
+#2599 := (+ #69 #2598)
+#2602 := (= #2599 0::int)
+#3131 := (not #2602)
+#1984 := (+ #69 #1980)
+#1985 := (>= #1984 0::int)
+#78 := (not #77)
+#3132 := (or #78 #1985 #3131)
+#4291 := (forall (vars (?x38 T2)) (:pat #4250 #4257 #4290) #3132)
+#4296 := (not #4291)
+#2574 := (= uf_11 ?x37!5)
+#1989 := (+ uf_9 #1980)
+#1990 := (<= #1989 0::int)
+#4299 := (or #1990 #2574 #4296)
+#5019 := (= uf_9 #1979)
+#5185 := (not #5019)
+#1991 := (not #1990)
+#4302 := (not #4299)
+#5183 := [hypothesis]: #4302
+#4176 := (or #4299 #1991)
+#3850 := [def-axiom]: #4176
+#5184 := [unit-resolution #3850 #5183]: #1991
+#5186 := (or #5185 #1990)
+#5193 := [th-lemma]: #5186
+#5194 := [unit-resolution #5193 #5184]: #5185
+#2577 := (not #2574)
+#3851 := (or #4299 #2577)
+#4183 := [def-axiom]: #3851
+#5192 := [unit-resolution #4183 #5183]: #2577
+#437 := (= uf_9 #69)
+#443 := (or #68 #437)
+#4258 := (forall (vars (?x25 T2)) (:pat #4257) #443)
+#448 := (forall (vars (?x25 T2)) #443)
+#4261 := (iff #448 #4258)
+#4259 := (iff #443 #443)
+#4260 := [refl]: #4259
+#4262 := [quant-intro #4260]: #4261
+#1862 := (~ #448 #448)
+#1900 := (~ #443 #443)
+#1901 := [refl]: #1900
+#1863 := [nnf-pos #1901]: #1862
+#70 := (= #69 0::int)
+#73 := (not #68)
+#1807 := (or #73 #70)
+#1810 := (forall (vars (?x24 T2)) #1807)
+#1813 := (not #1810)
+#1741 := (forall (vars (?x41 T2)) #1738)
+#1744 := (not #1741)
+#487 := (and #481 #484)
+#493 := (not #487)
+#1727 := (or #493 #1317)
+#1732 := (forall (vars (?x42 T2) (?x43 T2)) #1727)
+#1735 := (not #1732)
+#1238 := (not #1237)
+#1702 := (and #478 #1238)
+#1707 := (not #1702)
+#1713 := (or #1707 #1710)
+#1716 := (forall (vars (?x44 T2) (?x45 T2)) #1713)
+#1719 := (not #1716)
+#1649 := (forall (vars (?x58 T2)) #1644)
+#1652 := (not #1649)
+#1459 := (not #1458)
+#1452 := (not #1451)
+#1462 := (and #1452 #1459)
+#1620 := (not #1462)
+#1628 := (or #1620 #1625)
+#1631 := (forall (vars (?x59 T2)) #1628)
+#1634 := (not #1631)
+#1558 := (= #1536 0::int)
+#1561 := (not #1504)
+#1570 := (and #773 #1561 #1558)
+#1575 := (exists (vars (?x76 T2)) #1570)
+#1547 := (+ uf_9 #1480)
+#1548 := (<= #1547 0::int)
+#1549 := (not #1548)
+#1552 := (and #73 #1549)
+#1555 := (not #1552)
+#1578 := (or #1555 #1575)
+#1581 := (forall (vars (?x75 T2)) #1578)
+#1526 := (and #773 #1238)
+#1531 := (not #1526)
+#1538 := (or #1531 #1534)
+#1541 := (forall (vars (?x71 T2) (?x72 T2)) #1538)
+#1544 := (not #1541)
+#1584 := (or #1544 #1581)
+#1587 := (and #1541 #1584)
+#796 := (and #779 #793)
+#802 := (not #796)
+#1512 := (or #802 #1504)
+#1517 := (forall (vars (?x67 T2) (?x68 T2)) #1512)
+#1520 := (not #1517)
+#1590 := (or #1520 #1587)
+#1593 := (and #1517 #1590)
+#1498 := (forall (vars (?x65 T2)) #1495)
+#1501 := (not #1498)
+#1596 := (or #1501 #1593)
+#1599 := (and #1498 #1596)
+#1602 := (or #1492 #1599)
+#1605 := (and #217 #1602)
+#785 := (forall (vars (?x63 T2)) #780)
+#939 := (not #785)
+#1608 := (or #939 #1605)
+#1611 := (and #785 #1608)
+#1484 := (forall (vars (?x61 T2)) #1479)
+#1487 := (not #1484)
+#1614 := (or #1487 #1611)
+#1617 := (and #1484 #1614)
+#1468 := (or #759 #1462)
+#1473 := (forall (vars (?x60 T2)) #1468)
+#1476 := (not #1473)
+#1302 := (not #1301)
+#1421 := (and #481 #1302)
+#1426 := (exists (vars (?x48 T2)) #1421)
+#1667 := (not #1426)
+#1691 := (or #981 #728 #1667 #1476 #1617 #1634 #1652 #1656)
+#1347 := (not #1346)
+#1381 := (and #1238 #1347)
+#1384 := (not #1381)
+#1390 := (or #1384 #1387)
+#1393 := (forall (vars (?x53 T2) (?x54 T2)) #1390)
+#1396 := (not #1393)
+#1404 := (or #167 #1396)
+#1409 := (and #1393 #1404)
+#1362 := (= #1364 0::int)
+#1356 := (>= #1358 0::int)
+#1359 := (not #1356)
+#1366 := (and #1359 #1362)
+#1369 := (exists (vars (?x50 T2)) #1366)
+#1350 := (and #73 #1347)
+#1353 := (not #1350)
+#1372 := (or #1353 #1369)
+#1375 := (forall (vars (?x49 T2)) #1372)
+#1378 := (not #1375)
+#1412 := (or #1378 #1409)
+#1415 := (and #1375 #1412)
+#1444 := (or #683 #665 #692 #674 #1415 #1426)
+#1696 := (and #1444 #1691)
+#1318 := (not #1317)
+#1311 := (= #1315 0::int)
+#1327 := (and #478 #1311 #1318)
+#1332 := (exists (vars (?x47 T2)) #1327)
+#1305 := (and #73 #1302)
+#1308 := (not #1305)
+#1335 := (or #1308 #1332)
+#1338 := (forall (vars (?x46 T2)) #1335)
+#1341 := (not #1338)
+#86 := (uf_12 #10)
+#1223 := (* -1::int #86)
+#1250 := (+ #1223 #91)
+#1251 := (+ #69 #1250)
+#1273 := (= #1251 0::int)
+#1224 := (+ #69 #1223)
+#1222 := (>= #1224 0::int)
+#1276 := (not #1222)
+#1285 := (and #77 #1276 #1273)
+#1290 := (exists (vars (?x38 T2)) #1285)
+#1264 := (not #1263)
+#1267 := (and #73 #1264)
+#1270 := (not #1267)
+#1293 := (or #1270 #1290)
+#1296 := (forall (vars (?x37 T2)) #1293)
+#1752 := (not #1296)
+#1773 := (or #1749 #1752 #1341 #1696 #1719 #1735 #1744)
+#1778 := (and #1296 #1773)
+#1248 := (>= #1251 0::int)
+#1241 := (and #77 #1238)
+#1244 := (not #1241)
+#1252 := (or #1244 #1248)
+#1255 := (forall (vars (?x33 T2) (?x34 T2)) #1252)
+#1258 := (not #1255)
+#1781 := (or #1258 #1778)
+#1784 := (and #1255 #1781)
+#84 := (up_13 #10)
+#85 := (and #78 #84)
+#454 := (not #85)
+#1226 := (or #454 #1222)
+#1229 := (forall (vars (?x29 T2) (?x30 T2)) #1226)
+#1232 := (not #1229)
+#1787 := (or #1232 #1784)
+#1790 := (and #1229 #1787)
+#1213 := (>= #69 0::int)
+#1214 := (forall (vars (?x27 T2)) #1213)
+#1217 := (not #1214)
+#1793 := (or #1217 #1790)
+#1796 := (and #1214 #1793)
+#80 := (uf_12 uf_11)
+#81 := (= #80 0::int)
+#1208 := (not #81)
+#1799 := (or #1208 #1796)
+#1802 := (and #81 #1799)
+#1177 := (not #448)
+#79 := (forall (vars (?x26 T2)) #78)
+#1168 := (not #79)
+#1825 := (or #1168 #1177 #1802 #1813)
+#1830 := (not #1825)
+#1 := true
+#242 := (implies false true)
+#229 := (+ #202 #91)
+#236 := (= #224 #229)
+#213 := (= #212 uf_8)
+#237 := (and #213 #236)
+#235 := (< #202 #224)
+#238 := (and #235 #237)
+#239 := (exists (vars (?x76 T2)) #238)
+#233 := (< #202 uf_9)
+#234 := (and #73 #233)
+#240 := (implies #234 #239)
+#241 := (forall (vars (?x75 T2)) #240)
+#243 := (implies #241 #242)
+#244 := (and #241 #243)
+#230 := (<= #224 #229)
+#92 := (< #91 uf_9)
+#228 := (and #213 #92)
+#231 := (implies #228 #230)
+#232 := (forall (vars (?x71 T2) (?x72 T2)) #231)
+#245 := (implies #232 #244)
+#246 := (and #232 #245)
+#225 := (<= #224 #202)
+#222 := (= #221 uf_8)
+#220 := (not #213)
+#223 := (and #220 #222)
+#226 := (implies #223 #225)
+#227 := (forall (vars (?x67 T2) (?x68 T2)) #226)
+#247 := (implies #227 #246)
+#248 := (and #227 #247)
+#218 := (<= 0::int #202)
+#219 := (forall (vars (?x65 T2)) #218)
+#249 := (implies #219 #248)
+#250 := (and #219 #249)
+#251 := (implies #217 #250)
+#252 := (and #217 #251)
+#253 := (implies true #252)
+#254 := (implies true #253)
+#207 := (= #202 #110)
+#214 := (implies #213 #207)
+#215 := (forall (vars (?x63 T2)) #214)
+#255 := (implies #215 #254)
+#256 := (and #215 #255)
+#210 := (<= #202 #110)
+#211 := (forall (vars (?x61 T2)) #210)
+#257 := (implies #211 #256)
+#258 := (and #211 #257)
+#199 := (+ #188 #197)
+#200 := (< #199 #110)
+#198 := (< #197 uf_9)
+#201 := (and #198 #200)
+#206 := (not #201)
+#208 := (implies #206 #207)
+#209 := (forall (vars (?x60 T2)) #208)
+#259 := (implies #209 #258)
+#203 := (= #202 #199)
+#204 := (implies #201 #203)
+#205 := (forall (vars (?x59 T2)) #204)
+#260 := (implies #205 #259)
+#261 := (implies #195 #260)
+#190 := (<= #188 #110)
+#115 := (= #114 uf_8)
+#116 := (not #115)
+#191 := (implies #116 #190)
+#192 := (forall (vars (?x58 T2)) #191)
+#262 := (implies #192 #261)
+#189 := (< #188 uf_9)
+#263 := (implies #189 #262)
+#186 := (= #185 uf_8)
+#187 := (not #186)
+#264 := (implies #187 #263)
+#129 := (< #110 uf_9)
+#138 := (and #116 #129)
+#139 := (exists (vars (?x48 T2)) #138)
+#265 := (implies #139 #264)
+#266 := (implies true #265)
+#267 := (implies true #266)
+#168 := (implies #167 true)
+#169 := (and #167 #168)
+#156 := (+ #151 #91)
+#163 := (<= #154 #156)
+#152 := (< #151 uf_9)
+#162 := (and #152 #92)
+#164 := (implies #162 #163)
+#165 := (forall (vars (?x53 T2) (?x54 T2)) #164)
+#170 := (implies #165 #169)
+#171 := (and #165 #170)
+#157 := (= #154 #156)
+#155 := (< #151 #154)
+#158 := (and #155 #157)
+#159 := (exists (vars (?x50 T2)) #158)
+#153 := (and #73 #152)
+#160 := (implies #153 #159)
+#161 := (forall (vars (?x49 T2)) #160)
+#172 := (implies #161 #171)
+#173 := (and #161 #172)
+#174 := (implies true #173)
+#175 := (implies #150 #174)
+#147 := (= uf_19 uf_14)
+#176 := (implies #147 #175)
+#177 := (implies #145 #176)
+#142 := (= uf_16 uf_15)
+#178 := (implies #142 #177)
+#179 := (implies true #178)
+#180 := (implies true #179)
+#140 := (not #139)
+#181 := (implies #140 #180)
+#182 := (implies true #181)
+#183 := (implies true #182)
+#268 := (and #183 #267)
+#269 := (implies true #268)
+#125 := (+ #110 #91)
+#132 := (= #120 #125)
+#133 := (and #115 #132)
+#131 := (< #110 #120)
+#134 := (and #131 #133)
+#135 := (exists (vars (?x47 T2)) #134)
+#130 := (and #73 #129)
+#136 := (implies #130 #135)
+#137 := (forall (vars (?x46 T2)) #136)
+#270 := (implies #137 #269)
+#126 := (<= #120 #125)
+#124 := (and #115 #92)
+#127 := (implies #124 #126)
+#128 := (forall (vars (?x44 T2) (?x45 T2)) #127)
+#271 := (implies #128 #270)
+#121 := (<= #120 #110)
+#118 := (= #117 uf_8)
+#119 := (and #116 #118)
+#122 := (implies #119 #121)
+#123 := (forall (vars (?x42 T2) (?x43 T2)) #122)
+#272 := (implies #123 #271)
+#111 := (<= 0::int #110)
+#112 := (forall (vars (?x41 T2)) #111)
+#273 := (implies #112 #272)
+#274 := (implies #109 #273)
+#275 := (implies true #274)
+#276 := (implies true #275)
+#94 := (+ #69 #91)
+#101 := (= #86 #94)
+#102 := (and #77 #101)
+#100 := (< #69 #86)
+#103 := (and #100 #102)
+#104 := (exists (vars (?x38 T2)) #103)
+#98 := (< #69 uf_9)
+#99 := (and #73 #98)
+#105 := (implies #99 #104)
+#106 := (forall (vars (?x37 T2)) #105)
+#277 := (implies #106 #276)
+#278 := (and #106 #277)
+#95 := (<= #86 #94)
+#93 := (and #77 #92)
+#96 := (implies #93 #95)
+#97 := (forall (vars (?x33 T2) (?x34 T2)) #96)
+#279 := (implies #97 #278)
+#280 := (and #97 #279)
+#87 := (<= #86 #69)
+#88 := (implies #85 #87)
+#89 := (forall (vars (?x29 T2) (?x30 T2)) #88)
+#281 := (implies #89 #280)
+#282 := (and #89 #281)
+#82 := (<= 0::int #69)
+#83 := (forall (vars (?x27 T2)) #82)
+#283 := (implies #83 #282)
+#284 := (and #83 #283)
+#285 := (implies #81 #284)
+#286 := (and #81 #285)
+#287 := (implies true #286)
+#288 := (implies #79 #287)
+#74 := (= #69 uf_9)
+#75 := (implies #73 #74)
+#76 := (forall (vars (?x25 T2)) #75)
+#289 := (implies #76 #288)
+#71 := (implies #68 #70)
+#72 := (forall (vars (?x24 T2)) #71)
+#290 := (implies #72 #289)
+#291 := (implies true #290)
+#292 := (implies true #291)
+#293 := (not #292)
+#1833 := (iff #293 #1830)
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+#846 := (exists (vars (?x76 T2)) #843)
+#852 := (not #234)
+#853 := (or #852 #846)
+#858 := (forall (vars (?x75 T2)) #853)
+#822 := (<= #224 #819)
+#814 := (and #92 #773)
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+#829 := (or #828 #822)
+#834 := (forall (vars (?x71 T2) (?x72 T2)) #829)
+#880 := (not #834)
+#881 := (or #880 #858)
+#886 := (and #834 #881)
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+#892 := (not #808)
+#893 := (or #892 #886)
+#898 := (and #808 #893)
+#904 := (not #219)
+#905 := (or #904 #898)
+#910 := (and #219 #905)
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+#916 := (not #788)
+#917 := (or #916 #910)
+#922 := (and #788 #917)
+#940 := (or #939 #922)
+#945 := (and #785 #940)
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+#952 := (or #951 #945)
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+#964 := (or #963 #957)
+#745 := (= #199 #202)
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+#972 := (not #756)
+#973 := (or #972 #964)
+#982 := (or #981 #973)
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+#742 := (forall (vars (?x58 T2)) #737)
+#990 := (not #742)
+#991 := (or #990 #982)
+#999 := (not #189)
+#1000 := (or #999 #991)
+#1008 := (or #728 #1000)
+#555 := (and #129 #481)
+#560 := (exists (vars (?x48 T2)) #555)
+#563 := (not #560)
+#1016 := (or #563 #1008)
+#614 := (= 0::int #166)
+#572 := (+ #91 #151)
+#599 := (<= #154 #572)
+#596 := (and #92 #152)
+#605 := (not #596)
+#606 := (or #605 #599)
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+#635 := (or #634 #614)
+#640 := (and #611 #635)
+#575 := (= #154 #572)
+#578 := (and #155 #575)
+#581 := (exists (vars (?x50 T2)) #578)
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+#588 := (or #587 #581)
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+#652 := (and #593 #647)
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+#684 := (or #683 #675)
+#693 := (or #692 #684)
+#712 := (or #560 #693)
+#1032 := (and #712 #1016)
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+#531 := (and #478 #528)
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+#537 := (exists (vars (?x47 T2)) #534)
+#543 := (not #130)
+#544 := (or #543 #537)
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+#1045 := (not #549)
+#1046 := (or #1045 #1032)
+#513 := (<= #120 #510)
+#505 := (and #92 #478)
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+#520 := (or #519 #513)
+#525 := (forall (vars (?x44 T2) (?x45 T2)) #520)
+#1054 := (not #525)
+#1055 := (or #1054 #1046)
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+#1063 := (not #499)
+#1064 := (or #1063 #1055)
+#1072 := (not #112)
+#1073 := (or #1072 #1064)
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+#1082 := (or #1081 #1073)
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+#1102 := (or #1101 #1082)
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+#1114 := (or #1113 #1107)
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+#1126 := (or #1125 #1119)
+#1131 := (and #458 #1126)
+#1137 := (not #83)
+#1138 := (or #1137 #1131)
+#1143 := (and #83 #1138)
+#451 := (= 0::int #80)
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+#1150 := (or #1149 #1143)
+#1155 := (and #451 #1150)
+#1169 := (or #1168 #1155)
+#1178 := (or #1177 #1169)
+#423 := (= 0::int #69)
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+#434 := (forall (vars (?x24 T2)) #429)
+#1186 := (not #434)
+#1187 := (or #1186 #1178)
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+#1831 := (iff #1203 #1830)
+#1828 := (iff #1187 #1825)
+#1816 := (or #1168 #1802)
+#1819 := (or #1177 #1816)
+#1822 := (or #1813 #1819)
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+#1827 := [rewrite]: #1826
+#1823 := (iff #1187 #1822)
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+#1817 := (iff #1169 #1816)
+#1803 := (iff #1155 #1802)
+#1800 := (iff #1150 #1799)
+#1797 := (iff #1143 #1796)
+#1794 := (iff #1138 #1793)
+#1791 := (iff #1131 #1790)
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+#1785 := (iff #1119 #1784)
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+#1764 := (or #1744 #1761)
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+#1770 := (or #1752 #1767)
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+#1775 := [rewrite]: #1774
+#1771 := (iff #1102 #1770)
+#1768 := (iff #1082 #1767)
+#1765 := (iff #1073 #1764)
+#1762 := (iff #1064 #1761)
+#1759 := (iff #1055 #1758)
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+#1670 := (or #1476 #1617)
+#1673 := (or #1634 #1670)
+#1676 := (or #981 #1673)
+#1679 := (or #1652 #1676)
+#1682 := (or #1656 #1679)
+#1685 := (or #728 #1682)
+#1688 := (or #1667 #1685)
+#1692 := (iff #1688 #1691)
+#1693 := [rewrite]: #1692
+#1689 := (iff #1016 #1688)
+#1686 := (iff #1008 #1685)
+#1683 := (iff #1000 #1682)
+#1680 := (iff #991 #1679)
+#1677 := (iff #982 #1676)
+#1674 := (iff #973 #1673)
+#1671 := (iff #964 #1670)
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+#1615 := (iff #952 #1614)
+#1612 := (iff #945 #1611)
+#1609 := (iff #940 #1608)
+#1606 := (iff #922 #1605)
+#1603 := (iff #917 #1602)
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+#1597 := (iff #905 #1596)
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+#1591 := (iff #893 #1590)
+#1588 := (iff #886 #1587)
+#1585 := (iff #881 #1584)
+#1582 := (iff #858 #1581)
+#1579 := (iff #853 #1578)
+#1576 := (iff #846 #1575)
+#1573 := (iff #843 #1570)
+#1564 := (and #773 #1558)
+#1567 := (and #1561 #1564)
+#1571 := (iff #1567 #1570)
+#1572 := [rewrite]: #1571
+#1568 := (iff #843 #1567)
+#1565 := (iff #840 #1564)
+#1559 := (iff #837 #1558)
+#1560 := [rewrite]: #1559
+#1566 := [monotonicity #1560]: #1565
+#1562 := (iff #235 #1561)
+#1563 := [rewrite]: #1562
+#1569 := [monotonicity #1563 #1566]: #1568
+#1574 := [trans #1569 #1572]: #1573
+#1577 := [quant-intro #1574]: #1576
+#1556 := (iff #852 #1555)
+#1553 := (iff #234 #1552)
+#1550 := (iff #233 #1549)
+#1551 := [rewrite]: #1550
+#1554 := [monotonicity #1551]: #1553
+#1557 := [monotonicity #1554]: #1556
+#1580 := [monotonicity #1557 #1577]: #1579
+#1583 := [quant-intro #1580]: #1582
+#1545 := (iff #880 #1544)
+#1542 := (iff #834 #1541)
+#1539 := (iff #829 #1538)
+#1535 := (iff #822 #1534)
+#1537 := [rewrite]: #1535
+#1532 := (iff #828 #1531)
+#1529 := (iff #814 #1526)
+#1523 := (and #1238 #773)
+#1527 := (iff #1523 #1526)
+#1528 := [rewrite]: #1527
+#1524 := (iff #814 #1523)
+#1239 := (iff #92 #1238)
+#1240 := [rewrite]: #1239
+#1525 := [monotonicity #1240]: #1524
+#1530 := [trans #1525 #1528]: #1529
+#1533 := [monotonicity #1530]: #1532
+#1540 := [monotonicity #1533 #1537]: #1539
+#1543 := [quant-intro #1540]: #1542
+#1546 := [monotonicity #1543]: #1545
+#1586 := [monotonicity #1546 #1583]: #1585
+#1589 := [monotonicity #1543 #1586]: #1588
+#1521 := (iff #892 #1520)
+#1518 := (iff #808 #1517)
+#1515 := (iff #803 #1512)
+#1509 := (or #1504 #802)
+#1513 := (iff #1509 #1512)
+#1514 := [rewrite]: #1513
+#1510 := (iff #803 #1509)
+#1507 := (iff #225 #1504)
+#1508 := [rewrite]: #1507
+#1511 := [monotonicity #1508]: #1510
+#1516 := [trans #1511 #1514]: #1515
+#1519 := [quant-intro #1516]: #1518
+#1522 := [monotonicity #1519]: #1521
+#1592 := [monotonicity #1522 #1589]: #1591
+#1595 := [monotonicity #1519 #1592]: #1594
+#1502 := (iff #904 #1501)
+#1499 := (iff #219 #1498)
+#1496 := (iff #218 #1495)
+#1497 := [rewrite]: #1496
+#1500 := [quant-intro #1497]: #1499
+#1503 := [monotonicity #1500]: #1502
+#1598 := [monotonicity #1503 #1595]: #1597
+#1601 := [monotonicity #1500 #1598]: #1600
+#1493 := (iff #916 #1492)
+#1490 := (iff #788 #217)
+#1491 := [rewrite]: #1490
+#1494 := [monotonicity #1491]: #1493
+#1604 := [monotonicity #1494 #1601]: #1603
+#1607 := [monotonicity #1491 #1604]: #1606
+#1610 := [monotonicity #1607]: #1609
+#1613 := [monotonicity #1610]: #1612
+#1488 := (iff #951 #1487)
+#1485 := (iff #211 #1484)
+#1482 := (iff #210 #1479)
+#1483 := [rewrite]: #1482
+#1486 := [quant-intro #1483]: #1485
+#1489 := [monotonicity #1486]: #1488
+#1616 := [monotonicity #1489 #1613]: #1615
+#1619 := [monotonicity #1486 #1616]: #1618
+#1477 := (iff #963 #1476)
+#1474 := (iff #770 #1473)
+#1471 := (iff #765 #1468)
+#1465 := (or #1462 #759)
+#1469 := (iff #1465 #1468)
+#1470 := [rewrite]: #1469
+#1466 := (iff #765 #1465)
+#1463 := (iff #201 #1462)
+#1460 := (iff #200 #1459)
+#1461 := [rewrite]: #1460
+#1453 := (iff #198 #1452)
+#1454 := [rewrite]: #1453
+#1464 := [monotonicity #1454 #1461]: #1463
+#1467 := [monotonicity #1464]: #1466
+#1472 := [trans #1467 #1470]: #1471
+#1475 := [quant-intro #1472]: #1474
+#1478 := [monotonicity #1475]: #1477
+#1672 := [monotonicity #1478 #1619]: #1671
+#1635 := (iff #972 #1634)
+#1632 := (iff #756 #1631)
+#1629 := (iff #751 #1628)
+#1626 := (iff #745 #1625)
+#1627 := [rewrite]: #1626
+#1621 := (iff #206 #1620)
+#1622 := [monotonicity #1464]: #1621
+#1630 := [monotonicity #1622 #1627]: #1629
+#1633 := [quant-intro #1630]: #1632
+#1636 := [monotonicity #1633]: #1635
+#1675 := [monotonicity #1636 #1672]: #1674
+#1678 := [monotonicity #1675]: #1677
+#1653 := (iff #990 #1652)
+#1650 := (iff #742 #1649)
+#1647 := (iff #737 #1644)
+#1641 := (or #1637 #478)
+#1645 := (iff #1641 #1644)
+#1646 := [rewrite]: #1645
+#1642 := (iff #737 #1641)
+#1639 := (iff #190 #1637)
+#1640 := [rewrite]: #1639
+#1643 := [monotonicity #1640]: #1642
+#1648 := [trans #1643 #1646]: #1647
+#1651 := [quant-intro #1648]: #1650
+#1654 := [monotonicity #1651]: #1653
+#1681 := [monotonicity #1654 #1678]: #1680
+#1665 := (iff #999 #1656)
+#1657 := (not #1656)
+#1660 := (not #1657)
+#1663 := (iff #1660 #1656)
+#1664 := [rewrite]: #1663
+#1661 := (iff #999 #1660)
+#1658 := (iff #189 #1657)
+#1659 := [rewrite]: #1658
+#1662 := [monotonicity #1659]: #1661
+#1666 := [trans #1662 #1664]: #1665
+#1684 := [monotonicity #1666 #1681]: #1683
+#1687 := [monotonicity #1684]: #1686
+#1668 := (iff #563 #1667)
+#1427 := (iff #560 #1426)
+#1424 := (iff #555 #1421)
+#1418 := (and #1302 #481)
+#1422 := (iff #1418 #1421)
+#1423 := [rewrite]: #1422
+#1419 := (iff #555 #1418)
+#1303 := (iff #129 #1302)
+#1304 := [rewrite]: #1303
+#1420 := [monotonicity #1304]: #1419
+#1425 := [trans #1420 #1423]: #1424
+#1428 := [quant-intro #1425]: #1427
+#1669 := [monotonicity #1428]: #1668
+#1690 := [monotonicity #1669 #1687]: #1689
+#1695 := [trans #1690 #1693]: #1694
+#1447 := (iff #712 #1444)
+#1429 := (or #665 #1415)
+#1432 := (or #674 #1429)
+#1435 := (or #683 #1432)
+#1438 := (or #692 #1435)
+#1441 := (or #1426 #1438)
+#1445 := (iff #1441 #1444)
+#1446 := [rewrite]: #1445
+#1442 := (iff #712 #1441)
+#1439 := (iff #693 #1438)
+#1436 := (iff #684 #1435)
+#1433 := (iff #675 #1432)
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+#1401 := (or #1396 #167)
+#1405 := (iff #1401 #1404)
+#1406 := [rewrite]: #1405
+#1402 := (iff #635 #1401)
+#1399 := (iff #614 #167)
+#1400 := [rewrite]: #1399
+#1397 := (iff #634 #1396)
+#1394 := (iff #611 #1393)
+#1391 := (iff #606 #1390)
+#1388 := (iff #599 #1387)
+#1389 := [rewrite]: #1388
+#1385 := (iff #605 #1384)
+#1382 := (iff #596 #1381)
+#1348 := (iff #152 #1347)
+#1349 := [rewrite]: #1348
+#1383 := [monotonicity #1240 #1349]: #1382
+#1386 := [monotonicity #1383]: #1385
+#1392 := [monotonicity #1386 #1389]: #1391
+#1395 := [quant-intro #1392]: #1394
+#1398 := [monotonicity #1395]: #1397
+#1403 := [monotonicity #1398 #1400]: #1402
+#1408 := [trans #1403 #1406]: #1407
+#1411 := [monotonicity #1395 #1408]: #1410
+#1379 := (iff #646 #1378)
+#1376 := (iff #593 #1375)
+#1373 := (iff #588 #1372)
+#1370 := (iff #581 #1369)
+#1367 := (iff #578 #1366)
+#1363 := (iff #575 #1362)
+#1365 := [rewrite]: #1363
+#1360 := (iff #155 #1359)
+#1361 := [rewrite]: #1360
+#1368 := [monotonicity #1361 #1365]: #1367
+#1371 := [quant-intro #1368]: #1370
+#1354 := (iff #587 #1353)
+#1351 := (iff #153 #1350)
+#1352 := [monotonicity #1349]: #1351
+#1355 := [monotonicity #1352]: #1354
+#1374 := [monotonicity #1355 #1371]: #1373
+#1377 := [quant-intro #1374]: #1376
+#1380 := [monotonicity #1377]: #1379
+#1414 := [monotonicity #1380 #1411]: #1413
+#1417 := [monotonicity #1377 #1414]: #1416
+#1431 := [monotonicity #1417]: #1430
+#1434 := [monotonicity #1431]: #1433
+#1437 := [monotonicity #1434]: #1436
+#1440 := [monotonicity #1437]: #1439
+#1443 := [monotonicity #1428 #1440]: #1442
+#1448 := [trans #1443 #1446]: #1447
+#1698 := [monotonicity #1448 #1695]: #1697
+#1342 := (iff #1045 #1341)
+#1339 := (iff #549 #1338)
+#1336 := (iff #544 #1335)
+#1333 := (iff #537 #1332)
+#1330 := (iff #534 #1327)
+#1321 := (and #478 #1311)
+#1324 := (and #1318 #1321)
+#1328 := (iff #1324 #1327)
+#1329 := [rewrite]: #1328
+#1325 := (iff #534 #1324)
+#1322 := (iff #531 #1321)
+#1312 := (iff #528 #1311)
+#1316 := [rewrite]: #1312
+#1323 := [monotonicity #1316]: #1322
+#1319 := (iff #131 #1318)
+#1320 := [rewrite]: #1319
+#1326 := [monotonicity #1320 #1323]: #1325
+#1331 := [trans #1326 #1329]: #1330
+#1334 := [quant-intro #1331]: #1333
+#1309 := (iff #543 #1308)
+#1306 := (iff #130 #1305)
+#1307 := [monotonicity #1304]: #1306
+#1310 := [monotonicity #1307]: #1309
+#1337 := [monotonicity #1310 #1334]: #1336
+#1340 := [quant-intro #1337]: #1339
+#1343 := [monotonicity #1340]: #1342
+#1757 := [monotonicity #1343 #1698]: #1756
+#1720 := (iff #1054 #1719)
+#1717 := (iff #525 #1716)
+#1714 := (iff #520 #1713)
+#1711 := (iff #513 #1710)
+#1712 := [rewrite]: #1711
+#1708 := (iff #519 #1707)
+#1705 := (iff #505 #1702)
+#1699 := (and #1238 #478)
+#1703 := (iff #1699 #1702)
+#1704 := [rewrite]: #1703
+#1700 := (iff #505 #1699)
+#1701 := [monotonicity #1240]: #1700
+#1706 := [trans #1701 #1704]: #1705
+#1709 := [monotonicity #1706]: #1708
+#1715 := [monotonicity #1709 #1712]: #1714
+#1718 := [quant-intro #1715]: #1717
+#1721 := [monotonicity #1718]: #1720
+#1760 := [monotonicity #1721 #1757]: #1759
+#1736 := (iff #1063 #1735)
+#1733 := (iff #499 #1732)
+#1730 := (iff #494 #1727)
+#1724 := (or #1317 #493)
+#1728 := (iff #1724 #1727)
+#1729 := [rewrite]: #1728
+#1725 := (iff #494 #1724)
+#1722 := (iff #121 #1317)
+#1723 := [rewrite]: #1722
+#1726 := [monotonicity #1723]: #1725
+#1731 := [trans #1726 #1729]: #1730
+#1734 := [quant-intro #1731]: #1733
+#1737 := [monotonicity #1734]: #1736
+#1763 := [monotonicity #1737 #1760]: #1762
+#1745 := (iff #1072 #1744)
+#1742 := (iff #112 #1741)
+#1739 := (iff #111 #1738)
+#1740 := [rewrite]: #1739
+#1743 := [quant-intro #1740]: #1742
+#1746 := [monotonicity #1743]: #1745
+#1766 := [monotonicity #1746 #1763]: #1765
+#1750 := (iff #1081 #1749)
+#1747 := (iff #475 #109)
+#1748 := [rewrite]: #1747
+#1751 := [monotonicity #1748]: #1750
+#1769 := [monotonicity #1751 #1766]: #1768
+#1753 := (iff #1101 #1752)
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+#1294 := (iff #469 #1293)
+#1291 := (iff #104 #1290)
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+#1282 := (and #1276 #1279)
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+#1287 := [rewrite]: #1286
+#1283 := (iff #103 #1282)
+#1280 := (iff #102 #1279)
+#1274 := (iff #101 #1273)
+#1275 := [rewrite]: #1274
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+#1777 := [trans #1772 #1775]: #1776
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+#595 := [quant-intro #592]: #594
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+#567 := (iff #142 #566)
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+#691 := [monotonicity #568 #688]: #690
+#697 := [trans #691 #695]: #696
+#700 := [monotonicity #697]: #699
+#704 := [trans #700 #702]: #703
+#706 := [monotonicity #704]: #705
+#708 := [trans #706 #702]: #707
+#564 := (iff #140 #563)
+#565 := [monotonicity #562]: #564
+#711 := [monotonicity #565 #708]: #710
+#716 := [trans #711 #714]: #715
+#719 := [monotonicity #716]: #718
+#723 := [trans #719 #721]: #722
+#725 := [monotonicity #723]: #724
+#727 := [trans #725 #721]: #726
+#1034 := [monotonicity #727 #1031]: #1033
+#1037 := [monotonicity #1034]: #1036
+#1041 := [trans #1037 #1039]: #1040
+#550 := (iff #137 #549)
+#547 := (iff #136 #544)
+#540 := (implies #130 #537)
+#545 := (iff #540 #544)
+#546 := [rewrite]: #545
+#541 := (iff #136 #540)
+#538 := (iff #135 #537)
+#535 := (iff #134 #534)
+#532 := (iff #133 #531)
+#529 := (iff #132 #528)
+#511 := (= #125 #510)
+#512 := [rewrite]: #511
+#530 := [monotonicity #512]: #529
+#533 := [monotonicity #480 #530]: #532
+#536 := [monotonicity #533]: #535
+#539 := [quant-intro #536]: #538
+#542 := [monotonicity #539]: #541
+#548 := [trans #542 #546]: #547
+#551 := [quant-intro #548]: #550
+#1044 := [monotonicity #551 #1041]: #1043
+#1050 := [trans #1044 #1048]: #1049
+#526 := (iff #128 #525)
+#523 := (iff #127 #520)
+#516 := (implies #505 #513)
+#521 := (iff #516 #520)
+#522 := [rewrite]: #521
+#517 := (iff #127 #516)
+#514 := (iff #126 #513)
+#515 := [monotonicity #512]: #514
+#508 := (iff #124 #505)
+#502 := (and #478 #92)
+#506 := (iff #502 #505)
+#507 := [rewrite]: #506
+#503 := (iff #124 #502)
+#504 := [monotonicity #480]: #503
+#509 := [trans #504 #507]: #508
+#518 := [monotonicity #509 #515]: #517
+#524 := [trans #518 #522]: #523
+#527 := [quant-intro #524]: #526
+#1053 := [monotonicity #527 #1050]: #1052
+#1059 := [trans #1053 #1057]: #1058
+#500 := (iff #123 #499)
+#497 := (iff #122 #494)
+#490 := (implies #487 #121)
+#495 := (iff #490 #494)
+#496 := [rewrite]: #495
+#491 := (iff #122 #490)
+#488 := (iff #119 #487)
+#485 := (iff #118 #484)
+#486 := [rewrite]: #485
+#489 := [monotonicity #483 #486]: #488
+#492 := [monotonicity #489]: #491
+#498 := [trans #492 #496]: #497
+#501 := [quant-intro #498]: #500
+#1062 := [monotonicity #501 #1059]: #1061
+#1068 := [trans #1062 #1066]: #1067
+#1071 := [monotonicity #1068]: #1070
+#1077 := [trans #1071 #1075]: #1076
+#476 := (iff #109 #475)
+#477 := [rewrite]: #476
+#1080 := [monotonicity #477 #1077]: #1079
+#1086 := [trans #1080 #1084]: #1085
+#1089 := [monotonicity #1086]: #1088
+#1093 := [trans #1089 #1091]: #1092
+#1095 := [monotonicity #1093]: #1094
+#1097 := [trans #1095 #1091]: #1096
+#473 := (iff #106 #472)
+#470 := (iff #105 #469)
+#471 := [rewrite]: #470
+#474 := [quant-intro #471]: #473
+#1100 := [monotonicity #474 #1097]: #1099
+#1106 := [trans #1100 #1104]: #1105
+#1109 := [monotonicity #474 #1106]: #1108
+#466 := (iff #97 #465)
+#463 := (iff #96 #462)
+#464 := [rewrite]: #463
+#467 := [quant-intro #464]: #466
+#1112 := [monotonicity #467 #1109]: #1111
+#1118 := [trans #1112 #1116]: #1117
+#1121 := [monotonicity #467 #1118]: #1120
+#459 := (iff #89 #458)
+#456 := (iff #88 #455)
+#457 := [rewrite]: #456
+#460 := [quant-intro #457]: #459
+#1124 := [monotonicity #460 #1121]: #1123
+#1130 := [trans #1124 #1128]: #1129
+#1133 := [monotonicity #460 #1130]: #1132
+#1136 := [monotonicity #1133]: #1135
+#1142 := [trans #1136 #1140]: #1141
+#1145 := [monotonicity #1142]: #1144
+#452 := (iff #81 #451)
+#453 := [rewrite]: #452
+#1148 := [monotonicity #453 #1145]: #1147
+#1154 := [trans #1148 #1152]: #1153
+#1157 := [monotonicity #453 #1154]: #1156
+#1160 := [monotonicity #1157]: #1159
+#1164 := [trans #1160 #1162]: #1163
+#1167 := [monotonicity #1164]: #1166
+#1173 := [trans #1167 #1171]: #1172
+#449 := (iff #76 #448)
+#446 := (iff #75 #443)
+#440 := (implies #73 #437)
+#444 := (iff #440 #443)
+#445 := [rewrite]: #444
+#441 := (iff #75 #440)
+#438 := (iff #74 #437)
+#439 := [rewrite]: #438
+#442 := [monotonicity #439]: #441
+#447 := [trans #442 #445]: #446
+#450 := [quant-intro #447]: #449
+#1176 := [monotonicity #450 #1173]: #1175
+#1182 := [trans #1176 #1180]: #1181
+#435 := (iff #72 #434)
+#432 := (iff #71 #429)
+#426 := (implies #68 #423)
+#430 := (iff #426 #429)
+#431 := [rewrite]: #430
+#427 := (iff #71 #426)
+#424 := (iff #70 #423)
+#425 := [rewrite]: #424
+#428 := [monotonicity #425]: #427
+#433 := [trans #428 #431]: #432
+#436 := [quant-intro #433]: #435
+#1185 := [monotonicity #436 #1182]: #1184
+#1191 := [trans #1185 #1189]: #1190
+#1194 := [monotonicity #1191]: #1193
+#1198 := [trans #1194 #1196]: #1197
+#1200 := [monotonicity #1198]: #1199
+#1202 := [trans #1200 #1196]: #1201
+#1205 := [monotonicity #1202]: #1204
+#1834 := [trans #1205 #1832]: #1833
+#422 := [asserted]: #293
+#1835 := [mp #422 #1834]: #1830
+#1837 := [not-or-elim #1835]: #448
+#1902 := [mp~ #1837 #1863]: #448
+#4263 := [mp #1902 #4262]: #4258
+#4706 := (not #4258)
+#5054 := (or #4706 #2574 #5019)
+#1992 := (= ?x37!5 uf_11)
+#5025 := (or #1992 #5019)
+#5056 := (or #4706 #5025)
+#5111 := (iff #5056 #5054)
+#5048 := (or #2574 #5019)
+#5057 := (or #4706 #5048)
+#5087 := (iff #5057 #5054)
+#5088 := [rewrite]: #5087
+#5059 := (iff #5056 #5057)
+#5049 := (iff #5025 #5048)
+#2575 := (iff #1992 #2574)
+#2576 := [rewrite]: #2575
+#5053 := [monotonicity #2576]: #5049
+#5060 := [monotonicity #5053]: #5059
+#5120 := [trans #5060 #5088]: #5111
+#5047 := [quant-inst]: #5056
+#5121 := [mp #5047 #5120]: #5054
+#5195 := [unit-resolution #5121 #4263 #5192 #5194]: false
+#5196 := [lemma #5195]: #4299
+#4585 := (or #4302 #4582)
+#4588 := (not #4585)
+#3123 := (or #78 #1237 #1248)
+#4282 := (forall (vars (?x33 T2) (?x34 T2)) (:pat #4281) #3123)
+#4287 := (not #4282)
+#4591 := (or #4287 #4588)
+#4594 := (not #4591)
+decl ?x34!3 :: T2
+#1946 := ?x34!3
+#1953 := (uf_12 ?x34!3)
+decl ?x33!4 :: T2
+#1947 := ?x33!4
+#1950 := (uf_12 ?x33!4)
+#1951 := (* -1::int #1950)
+#2561 := (+ #1951 #1953)
+#1948 := (uf_1 ?x34!3 ?x33!4)
+#1949 := (uf_10 #1948)
+#2562 := (+ #1949 #2561)
+#2565 := (>= #2562 0::int)
+#1960 := (up_13 ?x34!3)
+#3086 := (not #1960)
+#1956 := (* -1::int #1949)
+#1957 := (+ uf_9 #1956)
+#1958 := (<= #1957 0::int)
+#3101 := (or #1958 #3086 #2565)
+#5147 := [hypothesis]: #1960
+#4251 := (forall (vars (?x26 T2)) (:pat #4250) #78)
+#4254 := (iff #79 #4251)
+#4252 := (iff #78 #78)
+#4253 := [refl]: #4252
+#4255 := [quant-intro #4253]: #4254
+#1860 := (~ #79 #79)
+#1897 := (~ #78 #78)
+#1898 := [refl]: #1897
+#1861 := [nnf-pos #1898]: #1860
+#1836 := [not-or-elim #1835]: #79
+#1899 := [mp~ #1836 #1861]: #79
+#4256 := [mp #1899 #4255]: #4251
+#4844 := (not #4251)
+#4845 := (or #4844 #3086)
+#4846 := [quant-inst]: #4845
+#5148 := [unit-resolution #4846 #4256 #5147]: false
+#5157 := [lemma #5148]: #3086
+#3862 := (or #3101 #1960)
+#3866 := [def-axiom]: #3862
+#4921 := [unit-resolution #3866 #5157]: #3101
+#3106 := (not #3101)
+#4597 := (or #3106 #4594)
+#4600 := (not #4597)
+#4272 := (pattern #77 #84)
+#2527 := (not #84)
+#3078 := (or #77 #2527 #1222)
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+#4278 := (not #4273)
+#4603 := (or #4278 #4600)
+#4606 := (not #4603)
+decl ?x30!1 :: T2
+#1921 := ?x30!1
+#1925 := (uf_12 ?x30!1)
+#2542 := (* -1::int #1925)
+decl ?x29!2 :: T2
+#1922 := ?x29!2
+#1923 := (uf_12 ?x29!2)
+#2543 := (+ #1923 #2542)
+#2544 := (<= #2543 0::int)
+#1929 := (up_13 ?x30!1)
+#1928 := (up_13 ?x29!2)
+#1968 := (not #1928)
+#2171 := (or #1968 #1929 #2544)
+#2248 := (not #2171)
+#4609 := (or #2248 #4606)
+#4612 := (not #4609)
+#4264 := (forall (vars (?x27 T2)) (:pat #4257) #1213)
+#4269 := (not #4264)
+#4615 := (or #4269 #4612)
+#4618 := (not #4615)
+decl ?x27!0 :: T2
+#1906 := ?x27!0
+#1907 := (uf_12 ?x27!0)
+#1908 := (>= #1907 0::int)
+#1909 := (not #1908)
+#4621 := (or #1909 #4618)
+#4624 := (not #4621)
+#4627 := (or #1208 #4624)
+#4630 := (not #4627)
+#4637 := (forall (vars (?x24 T2)) (:pat #4257) #1807)
+#4640 := (iff #1810 #4637)
+#4638 := (iff #1807 #1807)
+#4639 := [refl]: #4638
+#4641 := [quant-intro #4639]: #4640
+#2061 := (~ #1810 #1810)
+#2287 := (~ #1807 #1807)
+#2288 := [refl]: #2287
+#2062 := [nnf-pos #2288]: #2061
+#1840 := [not-or-elim #1835]: #1810
+#1967 := [mp~ #1840 #2062]: #1810
+#4642 := [mp #1967 #4641]: #4637
+#4660 := [hypothesis]: #1208
+#3800 := (not #4637)
+#3794 := (or #3800 #81)
+#3912 := (= uf_11 uf_11)
+#3913 := (not #3912)
+#3914 := (or #3913 #81)
+#3784 := (or #3800 #3914)
+#3782 := (iff #3784 #3794)
+#3786 := (iff #3794 #3794)
+#4657 := [rewrite]: #3786
+#3799 := (iff #3914 #81)
+#3778 := (or false #81)
+#3797 := (iff #3778 #81)
+#3798 := [rewrite]: #3797
+#3776 := (iff #3914 #3778)
+#3775 := (iff #3913 false)
+#8605 := (not true)
+#8608 := (iff #8605 false)
+#8609 := [rewrite]: #8608
+#3783 := (iff #3913 #8605)
+#3915 := (iff #3912 true)
+#3787 := [rewrite]: #3915
+#3788 := [monotonicity #3787]: #3783
+#3777 := [trans #3788 #8609]: #3775
+#3779 := [monotonicity #3777]: #3776
+#3791 := [trans #3779 #3798]: #3799
+#3785 := [monotonicity #3791]: #3782
+#4658 := [trans #3785 #4657]: #3782
+#3781 := [quant-inst]: #3784
+#4659 := [mp #3781 #4658]: #3794
+#4661 := [unit-resolution #4659 #4660 #4642]: false
+#4656 := [lemma #4661]: #81
+#4633 := (or #1208 #4630)
+#3536 := (forall (vars (?x76 T2)) #3525)
+#3543 := (not #3536)
+#3521 := (forall (vars (?x71 T2) (?x72 T2)) #3516)
+#3542 := (not #3521)
+#3544 := (or #2367 #2934 #3542 #3543)
+#3545 := (not #3544)
+#3550 := (or #3499 #3545)
+#3557 := (not #3550)
+#3476 := (forall (vars (?x67 T2) (?x68 T2)) #3471)
+#3556 := (not #3476)
+#3558 := (or #3556 #3557)
+#3559 := (not #3558)
+#3564 := (or #3453 #3559)
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+#3571 := (or #1501 #3570)
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+#3583 := (not #3577)
+#3584 := (or #1492 #3583)
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+#3590 := (or #1492 #3585)
+#3596 := (not #3590)
+#3597 := (or #939 #3596)
+#3598 := (not #3597)
+#3603 := (or #2877 #3598)
+#3609 := (not #3603)
+#3610 := (or #1487 #3609)
+#3611 := (not #3610)
+#3616 := (or #2863 #3611)
+#3624 := (not #3616)
+#3430 := (forall (vars (?x59 T2)) #3425)
+#3623 := (not #3430)
+#3412 := (forall (vars (?x60 T2)) #3409)
+#3622 := (not #3412)
+#3625 := (or #981 #728 #1652 #1656 #2218 #2221 #3622 #3623 #3624)
+#3626 := (not #3625)
+#3342 := (forall (vars (?x53 T2) (?x54 T2)) #3337)
+#3348 := (not #3342)
+#3349 := (or #167 #3348)
+#3350 := (not #3349)
+#3377 := (or #3350 #3374)
+#3384 := (not #3377)
+#3320 := (forall (vars (?x49 T2)) #3315)
+#3383 := (not #3320)
+#3385 := (or #3383 #3384)
+#3386 := (not #3385)
+#3283 := (forall (vars (?x50 T2)) #3272)
+#3289 := (not #3283)
+#3290 := (or #2097 #2712 #3289)
+#3291 := (not #3290)
+#3391 := (or #3291 #3386)
+#3398 := (not #3391)
+#3268 := (forall (vars (?x48 T2)) #3257)
+#3397 := (not #3268)
+#3399 := (or #683 #665 #692 #674 #3397 #3398)
+#3400 := (not #3399)
+#3631 := (or #3400 #3626)
+#3641 := (not #3631)
+#3254 := (forall (vars (?x46 T2)) #3249)
+#3640 := (not #3254)
+#3226 := (forall (vars (?x37 T2)) #3221)
+#3639 := (not #3226)
+#3198 := (forall (vars (?x42 T2) (?x43 T2)) #3193)
+#3638 := (not #3198)
+#3175 := (forall (vars (?x44 T2) (?x45 T2)) #3170)
+#3637 := (not #3175)
+#3642 := (or #1749 #1744 #3637 #3638 #3639 #3640 #3641)
+#3643 := (not #3642)
+#3143 := (forall (vars (?x38 T2)) #3132)
+#3149 := (not #3143)
+#3150 := (or #1990 #2574 #3149)
+#3151 := (not #3150)
+#3648 := (or #3151 #3643)
+#3655 := (not #3648)
+#3128 := (forall (vars (?x33 T2) (?x34 T2)) #3123)
+#3654 := (not #3128)
+#3656 := (or #3654 #3655)
+#3657 := (not #3656)
+#3662 := (or #3106 #3657)
+#3669 := (not #3662)
+#3083 := (forall (vars (?x29 T2) (?x30 T2)) #3078)
+#3668 := (not #3083)
+#3670 := (or #3668 #3669)
+#3671 := (not #3670)
+#3676 := (or #2248 #3671)
+#3682 := (not #3676)
+#3683 := (or #1217 #3682)
+#3684 := (not #3683)
+#3689 := (or #1909 #3684)
+#3695 := (not #3689)
+#3696 := (or #1208 #3695)
+#3697 := (not #3696)
+#3702 := (or #1208 #3697)
+#4634 := (iff #3702 #4633)
+#4631 := (iff #3697 #4630)
+#4628 := (iff #3696 #4627)
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+#4622 := (iff #3689 #4621)
+#4619 := (iff #3684 #4618)
+#4616 := (iff #3683 #4615)
+#4613 := (iff #3682 #4612)
+#4610 := (iff #3676 #4609)
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+#4508 := (iff #3558 #4507)
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+#4496 := (iff #3544 #4495)
+#4493 := (iff #3543 #4492)
+#4490 := (iff #3536 #4487)
+#4488 := (iff #3525 #3525)
+#4489 := [refl]: #4488
+#4491 := [quant-intro #4489]: #4490
+#4494 := [monotonicity #4491]: #4493
+#4484 := (iff #3542 #4483)
+#4481 := (iff #3521 #4478)
+#4479 := (iff #3516 #3516)
+#4480 := [refl]: #4479
+#4482 := [quant-intro #4480]: #4481
+#4485 := [monotonicity #4482]: #4484
+#4497 := [monotonicity #4485 #4494]: #4496
+#4500 := [monotonicity #4497]: #4499
+#4503 := [monotonicity #4500]: #4502
+#4506 := [monotonicity #4503]: #4505
+#4476 := (iff #3556 #4475)
+#4473 := (iff #3476 #4470)
+#4471 := (iff #3471 #3471)
+#4472 := [refl]: #4471
+#4474 := [quant-intro #4472]: #4473
+#4477 := [monotonicity #4474]: #4476
+#4509 := [monotonicity #4477 #4506]: #4508
+#4512 := [monotonicity #4509]: #4511
+#4515 := [monotonicity #4512]: #4514
+#4518 := [monotonicity #4515]: #4517
+#4467 := (iff #1501 #4466)
+#4464 := (iff #1498 #4461)
+#4462 := (iff #1495 #1495)
+#4463 := [refl]: #4462
+#4465 := [quant-intro #4463]: #4464
+#4468 := [monotonicity #4465]: #4467
+#4521 := [monotonicity #4468 #4518]: #4520
+#4524 := [monotonicity #4521]: #4523
+#4527 := [monotonicity #4524]: #4526
+#4530 := [monotonicity #4527]: #4529
+#4533 := [monotonicity #4530]: #4532
+#4536 := [monotonicity #4533]: #4535
+#4539 := [monotonicity #4536]: #4538
+#4542 := [monotonicity #4539]: #4541
+#4459 := (iff #939 #4458)
+#4456 := (iff #785 #4453)
+#4454 := (iff #780 #780)
+#4455 := [refl]: #4454
+#4457 := [quant-intro #4455]: #4456
+#4460 := [monotonicity #4457]: #4459
+#4545 := [monotonicity #4460 #4542]: #4544
+#4548 := [monotonicity #4545]: #4547
+#4551 := [monotonicity #4548]: #4550
+#4554 := [monotonicity #4551]: #4553
+#4450 := (iff #1487 #4449)
+#4447 := (iff #1484 #4444)
+#4445 := (iff #1479 #1479)
+#4446 := [refl]: #4445
+#4448 := [quant-intro #4446]: #4447
+#4451 := [monotonicity #4448]: #4450
+#4557 := [monotonicity #4451 #4554]: #4556
+#4560 := [monotonicity #4557]: #4559
+#4563 := [monotonicity #4560]: #4562
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+#3324 := (not #3323)
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+#3331 := [rewrite]: #3330
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+#3325 := (iff #1381 #3324)
+#3326 := [rewrite]: #3325
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+#3333 := [trans #3329 #3331]: #3332
+#3336 := [monotonicity #3333]: #3335
+#3341 := [trans #3336 #3339]: #3340
+#3344 := [quant-intro #3341]: #3343
+#3347 := [monotonicity #3344]: #3346
+#3354 := [trans #3347 #3352]: #3353
+#3379 := [monotonicity #3354 #3376]: #3378
+#3321 := (iff #2797 #3320)
+#3318 := (iff #2794 #3315)
+#3296 := (or #68 #1346)
+#3312 := (or #3296 #3309)
+#3316 := (iff #3312 #3315)
+#3317 := [rewrite]: #3316
+#3313 := (iff #2794 #3312)
+#3310 := (iff #2791 #3309)
+#3311 := [rewrite]: #3310
+#3305 := (iff #1353 #3296)
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+#3303 := (iff #3300 #3296)
+#3304 := [rewrite]: #3303
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+#3298 := (iff #1350 #3297)
+#3299 := [rewrite]: #3298
+#3302 := [monotonicity #3299]: #3301
+#3306 := [trans #3302 #3304]: #3305
+#3314 := [monotonicity #3306 #3311]: #3313
+#3319 := [trans #3314 #3317]: #3318
+#3322 := [quant-intro #3319]: #3321
+#3382 := [monotonicity #3322 #3379]: #3381
+#3390 := [trans #3382 #3388]: #3389
+#3294 := (iff #2755 #3291)
+#3286 := (and #2098 #2715 #3283)
+#3292 := (iff #3286 #3291)
+#3293 := [rewrite]: #3292
+#3287 := (iff #2755 #3286)
+#3284 := (iff #2749 #3283)
+#3281 := (iff #2746 #3272)
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+#3280 := [rewrite]: #3279
+#3277 := (iff #2746 #3276)
+#3274 := (iff #2743 #3273)
+#3275 := [rewrite]: #3274
+#3278 := [monotonicity #3275]: #3277
+#3282 := [trans #3278 #3280]: #3281
+#3285 := [quant-intro #3282]: #3284
+#3288 := [monotonicity #3285]: #3287
+#3295 := [trans #3288 #3293]: #3294
+#3393 := [monotonicity #3295 #3390]: #3392
+#3269 := (iff #2202 #3268)
+#3266 := (iff #2199 #3257)
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+#3261 := (not #3258)
+#3264 := (iff #3261 #3257)
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+#3259 := (iff #1421 #3258)
+#3260 := [rewrite]: #3259
+#3263 := [monotonicity #3260]: #3262
+#3267 := [trans #3263 #3265]: #3266
+#3270 := [quant-intro #3267]: #3269
+#3396 := [monotonicity #3270 #3393]: #3395
+#3404 := [trans #3396 #3402]: #3403
+#3633 := [monotonicity #3404 #3630]: #3632
+#3255 := (iff #2701 #3254)
+#3252 := (iff #2698 #3249)
+#3229 := (or #68 #1301)
+#3246 := (or #3229 #3243)
+#3250 := (iff #3246 #3249)
+#3251 := [rewrite]: #3250
+#3247 := (iff #2698 #3246)
+#3244 := (iff #2695 #3243)
+#3245 := [rewrite]: #3244
+#3238 := (iff #1308 #3229)
+#3230 := (not #3229)
+#3233 := (not #3230)
+#3236 := (iff #3233 #3229)
+#3237 := [rewrite]: #3236
+#3234 := (iff #1308 #3233)
+#3231 := (iff #1305 #3230)
+#3232 := [rewrite]: #3231
+#3235 := [monotonicity #3232]: #3234
+#3239 := [trans #3235 #3237]: #3238
+#3248 := [monotonicity #3239 #3245]: #3247
+#3253 := [trans #3248 #3251]: #3252
+#3256 := [quant-intro #3253]: #3255
+#3227 := (iff #2661 #3226)
+#3224 := (iff #2658 #3221)
+#3201 := (or #68 #1263)
+#3218 := (or #3201 #3215)
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+#3223 := [rewrite]: #3222
+#3219 := (iff #2658 #3218)
+#3216 := (iff #2655 #3215)
+#3217 := [rewrite]: #3216
+#3210 := (iff #1270 #3201)
+#3202 := (not #3201)
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+#3209 := [rewrite]: #3208
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+#3203 := (iff #1267 #3202)
+#3204 := [rewrite]: #3203
+#3207 := [monotonicity #3204]: #3206
+#3211 := [trans #3207 #3209]: #3210
+#3220 := [monotonicity #3211 #3217]: #3219
+#3225 := [trans #3220 #3223]: #3224
+#3228 := [quant-intro #3225]: #3227
+#3199 := (iff #1732 #3198)
+#3196 := (iff #1727 #3193)
+#3179 := (or #478 #3178)
+#3190 := (or #3179 #1317)
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+#3186 := (iff #3183 #3179)
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+#3182 := [rewrite]: #3181
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+#3189 := [trans #3185 #3187]: #3188
+#3192 := [monotonicity #3189]: #3191
+#3197 := [trans #3192 #3195]: #3196
+#3200 := [quant-intro #3197]: #3199
+#3176 := (iff #1716 #3175)
+#3173 := (iff #1713 #3170)
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+#3159 := [rewrite]: #3158
+#3162 := [monotonicity #3159]: #3161
+#3166 := [trans #3162 #3164]: #3165
+#3169 := [monotonicity #3166]: #3168
+#3174 := [trans #3169 #3172]: #3173
+#3177 := [quant-intro #3174]: #3176
+#3636 := [monotonicity #3177 #3200 #3228 #3256 #3633]: #3635
+#3647 := [trans #3636 #3645]: #3646
+#3154 := (iff #2617 #3151)
+#3146 := (and #1991 #2577 #3143)
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+#3133 := (not #3132)
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+#3135 := [rewrite]: #3134
+#3138 := [monotonicity #3135]: #3137
+#3142 := [trans #3138 #3140]: #3141
+#3145 := [quant-intro #3142]: #3144
+#3148 := [monotonicity #3145]: #3147
+#3155 := [trans #3148 #3153]: #3154
+#3650 := [monotonicity #3155 #3647]: #3649
+#3129 := (iff #1255 #3128)
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+#3111 := (iff #1241 #3110)
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+#3119 := [trans #3115 #3117]: #3118
+#3122 := [monotonicity #3119]: #3121
+#3127 := [trans #3122 #3125]: #3126
+#3130 := [quant-intro #3127]: #3129
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+#3661 := [trans #3653 #3659]: #3660
+#3107 := (iff #2571 #3106)
+#3104 := (iff #2568 #3101)
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+#3092 := (iff #2558 #3091)
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+#3090 := [rewrite]: #3089
+#3093 := [monotonicity #3090]: #3092
+#3097 := [trans #3093 #3095]: #3096
+#3100 := [monotonicity #3097]: #3099
+#3105 := [trans #3100 #3103]: #3104
+#3108 := [monotonicity #3105]: #3107
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+#3084 := (iff #1229 #3083)
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+#3064 := (or #77 #2527)
+#3075 := (or #3064 #1222)
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+#3073 := (iff #454 #3064)
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+#3068 := (not #3065)
+#3071 := (iff #3068 #3064)
+#3072 := [rewrite]: #3071
+#3069 := (iff #454 #3068)
+#3066 := (iff #85 #3065)
+#3067 := [rewrite]: #3066
+#3070 := [monotonicity #3067]: #3069
+#3074 := [trans #3070 #3072]: #3073
+#3077 := [monotonicity #3074]: #3076
+#3082 := [trans #3077 #3080]: #3081
+#3085 := [quant-intro #3082]: #3084
+#3667 := [monotonicity #3085 #3664]: #3666
+#3675 := [trans #3667 #3673]: #3674
+#2345 := (iff #2552 #2248)
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+#2172 := (iff #2268 #2171)
+#2136 := [rewrite]: #2172
+#2226 := (iff #2549 #2268)
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+#2314 := (not #1868)
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+#2034 := [rewrite]: #1913
+#2315 := (iff #2533 #2314)
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+#1938 := [rewrite]: #1869
+#1912 := [monotonicity #1938]: #2315
+#2267 := [trans #1912 #2034]: #2035
+#2227 := [monotonicity #2267]: #2226
+#2247 := [trans #2227 #2136]: #2137
+#2346 := [monotonicity #2247]: #2345
+#3678 := [monotonicity #2346 #3675]: #3677
+#3681 := [monotonicity #3678]: #3680
+#3688 := [trans #3681 #3686]: #3687
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+#3694 := [monotonicity #3691]: #3693
+#3701 := [trans #3694 #3699]: #3700
+#3704 := [monotonicity #3701]: #3703
+#2360 := (+ #2359 #2357)
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+#2364 := (and #773 #2363 #2361)
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+#2388 := (and #2378 #2384)
+#2393 := (and #1541 #2388)
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+#2331 := (+ #2330 #2328)
+#2332 := (>= #2331 0::int)
+#2339 := (and #2338 #2336)
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+#2299 := (* -1::int #2298)
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+#2437 := (or #2244 #2433)
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+#2457 := (and #2209 #731 #2223 #1473 #2437 #1631 #1649 #1657)
+#2150 := (* -1::int #2149)
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+#2187 := (or #2168 #2183)
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+#2130 := (= #2129 0::int)
+#2131 := (>= #2126 0::int)
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+#2141 := (forall (vars (?x49 T2)) #2138)
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+#2090 := (+ #2089 #2087)
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+#2050 := (>= #2049 0::int)
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+#2063 := (or #1308 #2058)
+#2066 := (forall (vars (?x46 T2)) #2063)
+#2023 := (+ #1261 #2022)
+#2025 := (+ #2024 #2023)
+#2026 := (= #2025 0::int)
+#2027 := (+ #2024 #1261)
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+#2486 := (and #2015 #2039 #2066 #2461 #1716 #1732 #1741)
+#1981 := (+ #1980 #1978)
+#1982 := (+ #69 #1981)
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+#1994 := (and #1993 #1991)
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+#2010 := (and #2000 #2006)
+#2490 := (or #2010 #2486)
+#2494 := (and #1255 #2490)
+#1952 := (+ #1951 #1949)
+#1954 := (+ #1953 #1952)
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+#1961 := (and #1960 #1959)
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+#1963 := (or #1962 #1955)
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+#2502 := (and #1229 #2498)
+#1924 := (* -1::int #1923)
+#1926 := (+ #1925 #1924)
+#1927 := (>= #1926 0::int)
+#1931 := (and #1930 #1928)
+#1932 := (not #1931)
+#1933 := (or #1932 #1927)
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+#3029 := (and #109 #2661 #2701 #3026 #1716 #1732 #1741)
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+#3027 := (iff #2461 #3026)
+#3024 := (iff #2457 #3021)
+#3018 := (and #195 #731 #2223 #1473 #3015 #1631 #1649 #1657)
+#3022 := (iff #3018 #3021)
+#3023 := [rewrite]: #3022
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+#3016 := (iff #2437 #3015)
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+#3010 := (iff #2429 #3009)
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+#2974 := (and #2943 #2971)
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+#2981 := (iff #2977 #2980)
+#2982 := [rewrite]: #2981
+#2978 := (iff #2393 #2977)
+#2975 := (iff #2388 #2974)
+#2972 := (iff #2384 #2971)
+#2969 := (iff #2381 #2968)
+#2966 := (iff #2364 #2965)
+#2963 := (iff #2361 #2962)
+#2960 := (= #2360 #2959)
+#2961 := [rewrite]: #2960
+#2964 := [monotonicity #2961]: #2963
+#2967 := [monotonicity #2964]: #2966
+#2970 := [monotonicity #2967]: #2969
+#2973 := [quant-intro #2970]: #2972
+#2956 := (iff #2378 #2943)
+#2948 := (not #2943)
+#2951 := (not #2948)
+#2954 := (iff #2951 #2943)
+#2955 := [rewrite]: #2954
+#2952 := (iff #2378 #2951)
+#2949 := (iff #2372 #2948)
+#2946 := (iff #2371 #2943)
+#2940 := (and #2937 #2368)
+#2944 := (iff #2940 #2943)
+#2945 := [rewrite]: #2944
+#2941 := (iff #2371 #2940)
+#2938 := (iff #2370 #2937)
+#2935 := (iff #2369 #2934)
+#2936 := [rewrite]: #2935
+#2939 := [monotonicity #2936]: #2938
+#2942 := [monotonicity #2939]: #2941
+#2947 := [trans #2942 #2945]: #2946
+#2950 := [monotonicity #2947]: #2949
+#2953 := [monotonicity #2950]: #2952
+#2957 := [trans #2953 #2955]: #2956
+#2976 := [monotonicity #2957 #2973]: #2975
+#2979 := [monotonicity #2976]: #2978
+#2984 := [trans #2979 #2982]: #2983
+#2932 := (iff #2342 #2931)
+#2929 := (iff #2341 #2928)
+#2926 := (iff #2332 #2923)
+#2913 := (+ #2327 #2330)
+#2914 := (+ #2326 #2913)
+#2917 := (>= #2914 0::int)
+#2924 := (iff #2917 #2923)
+#2925 := [rewrite]: #2924
+#2918 := (iff #2332 #2917)
+#2915 := (= #2331 #2914)
+#2916 := [rewrite]: #2915
+#2919 := [monotonicity #2916]: #2918
+#2927 := [trans #2919 #2925]: #2926
+#2911 := (iff #2340 #2910)
+#2908 := (iff #2339 #2907)
+#2909 := [rewrite]: #2908
+#2912 := [monotonicity #2909]: #2911
+#2930 := [monotonicity #2912 #2927]: #2929
+#2933 := [monotonicity #2930]: #2932
+#2987 := [monotonicity #2933 #2984]: #2986
+#2990 := [monotonicity #2987]: #2989
+#2905 := (iff #2311 #2904)
+#2902 := (iff #2310 #2901)
+#2899 := (iff #2302 #2896)
+#2888 := (+ #2299 #2300)
+#2891 := (>= #2888 0::int)
+#2897 := (iff #2891 #2896)
+#2898 := [rewrite]: #2897
+#2892 := (iff #2302 #2891)
+#2889 := (= #2301 #2888)
+#2890 := [rewrite]: #2889
+#2893 := [monotonicity #2890]: #2892
+#2900 := [trans #2893 #2898]: #2899
+#2886 := (iff #2309 #2885)
+#2883 := (iff #2308 #2882)
+#2884 := [rewrite]: #2883
+#2887 := [monotonicity #2884]: #2886
+#2903 := [monotonicity #2887 #2900]: #2902
+#2906 := [monotonicity #2903]: #2905
+#2993 := [monotonicity #2906 #2990]: #2992
+#2996 := [monotonicity #2993]: #2995
+#2999 := [monotonicity #2996]: #2998
+#2880 := (iff #2278 #217)
+#2881 := [rewrite]: #2880
+#3002 := [monotonicity #2881 #2999]: #3001
+#3005 := [monotonicity #3002]: #3004
+#3008 := [monotonicity #3005]: #3007
+#2878 := (iff #2264 #2877)
+#2875 := (iff #2263 #2872)
+#2869 := (or #2866 #2259)
+#2873 := (iff #2869 #2872)
+#2874 := [rewrite]: #2873
+#2870 := (iff #2263 #2869)
+#2867 := (iff #2262 #2866)
+#2868 := [rewrite]: #2867
+#2871 := [monotonicity #2868]: #2870
+#2876 := [trans #2871 #2874]: #2875
+#2879 := [monotonicity #2876]: #2878
+#3011 := [monotonicity #2879 #3008]: #3010
+#3014 := [monotonicity #3011]: #3013
+#2864 := (iff #2244 #2863)
+#2861 := (iff #2243 #2858)
+#2850 := (+ #2240 #2241)
+#2853 := (>= #2850 0::int)
+#2859 := (iff #2853 #2858)
+#2860 := [rewrite]: #2859
+#2854 := (iff #2243 #2853)
+#2851 := (= #2242 #2850)
+#2852 := [rewrite]: #2851
+#2855 := [monotonicity #2852]: #2854
+#2862 := [trans #2855 #2860]: #2861
+#2865 := [monotonicity #2862]: #2864
+#3017 := [monotonicity #2865 #3014]: #3016
+#2848 := (iff #2209 #195)
+#2849 := [rewrite]: #2848
+#3020 := [monotonicity #2849 #3017]: #3019
+#3025 := [trans #3020 #3023]: #3024
+#2846 := (iff #2205 #2843)
+#2840 := (and #145 #150 #566 #569 #2837 #2202)
+#2844 := (iff #2840 #2843)
+#2845 := [rewrite]: #2844
+#2841 := (iff #2205 #2840)
+#2838 := (iff #2195 #2837)
+#2835 := (iff #2191 #2834)
+#2832 := (iff #2187 #2829)
+#2826 := (or #2823 #2183)
+#2830 := (iff #2826 #2829)
+#2831 := [rewrite]: #2830
+#2827 := (iff #2187 #2826)
+#2824 := (iff #2168 #2823)
+#2821 := (iff #2167 #2820)
+#2818 := (iff #2156 #2815)
+#2806 := (+ #2151 #2154)
+#2807 := (+ #2150 #2806)
+#2810 := (>= #2807 0::int)
+#2816 := (iff #2810 #2815)
+#2817 := [rewrite]: #2816
+#2811 := (iff #2156 #2810)
+#2808 := (= #2155 #2807)
+#2809 := [rewrite]: #2808
+#2812 := [monotonicity #2809]: #2811
+#2819 := [trans #2812 #2817]: #2818
+#2804 := (iff #2166 #2803)
+#2801 := (iff #2165 #2800)
+#2802 := [rewrite]: #2801
+#2805 := [monotonicity #2802]: #2804
+#2822 := [monotonicity #2805 #2819]: #2821
+#2825 := [monotonicity #2822]: #2824
+#2828 := [monotonicity #2825]: #2827
+#2833 := [trans #2828 #2831]: #2832
+#2798 := (iff #2141 #2797)
+#2795 := (iff #2138 #2794)
+#2792 := (iff #2133 #2791)
+#2789 := (iff #2130 #2786)
+#2776 := (+ #2125 #2128)
+#2777 := (+ #1344 #2776)
+#2780 := (= #2777 0::int)
+#2787 := (iff #2780 #2786)
+#2788 := [rewrite]: #2787
+#2781 := (iff #2130 #2780)
+#2778 := (= #2129 #2777)
+#2779 := [rewrite]: #2778
+#2782 := [monotonicity #2779]: #2781
+#2790 := [trans #2782 #2788]: #2789
+#2774 := (iff #2132 #2773)
+#2771 := (iff #2131 #2768)
+#2760 := (+ #1344 #2125)
+#2763 := (>= #2760 0::int)
+#2769 := (iff #2763 #2768)
+#2770 := [rewrite]: #2769
+#2764 := (iff #2131 #2763)
+#2761 := (= #2126 #2760)
+#2762 := [rewrite]: #2761
+#2765 := [monotonicity #2762]: #2764
+#2772 := [trans #2765 #2770]: #2771
+#2775 := [monotonicity #2772]: #2774
+#2793 := [monotonicity #2775 #2790]: #2792
+#2796 := [monotonicity #2793]: #2795
+#2799 := [quant-intro #2796]: #2798
+#2836 := [monotonicity #2799 #2833]: #2835
+#2758 := (iff #2117 #2755)
+#2721 := (and #2098 #2715)
+#2752 := (and #2721 #2749)
+#2756 := (iff #2752 #2755)
+#2757 := [rewrite]: #2756
+#2753 := (iff #2117 #2752)
+#2750 := (iff #2113 #2749)
+#2747 := (iff #2110 #2746)
+#2744 := (iff #2094 #2743)
+#2741 := (iff #2091 #2740)
+#2738 := (= #2090 #2737)
+#2739 := [rewrite]: #2738
+#2742 := [monotonicity #2739]: #2741
+#2745 := [monotonicity #2742]: #2744
+#2748 := [monotonicity #2745]: #2747
+#2751 := [quant-intro #2748]: #2750
+#2734 := (iff #2107 #2721)
+#2726 := (not #2721)
+#2729 := (not #2726)
+#2732 := (iff #2729 #2721)
+#2733 := [rewrite]: #2732
+#2730 := (iff #2107 #2729)
+#2727 := (iff #2102 #2726)
+#2724 := (iff #2101 #2721)
+#2718 := (and #2715 #2098)
+#2722 := (iff #2718 #2721)
+#2723 := [rewrite]: #2722
+#2719 := (iff #2101 #2718)
+#2716 := (iff #2100 #2715)
+#2713 := (iff #2099 #2712)
+#2714 := [rewrite]: #2713
+#2717 := [monotonicity #2714]: #2716
+#2720 := [monotonicity #2717]: #2719
+#2725 := [trans #2720 #2723]: #2724
+#2728 := [monotonicity #2725]: #2727
+#2731 := [monotonicity #2728]: #2730
+#2735 := [trans #2731 #2733]: #2734
+#2754 := [monotonicity #2735 #2751]: #2753
+#2759 := [trans #2754 #2757]: #2758
+#2839 := [monotonicity #2759 #2836]: #2838
+#2710 := (iff #2081 #569)
+#2711 := [rewrite]: #2710
+#2708 := (iff #2078 #566)
+#2709 := [rewrite]: #2708
+#2706 := (iff #2075 #150)
+#2707 := [rewrite]: #2706
+#2704 := (iff #2072 #145)
+#2705 := [rewrite]: #2704
+#2842 := [monotonicity #2705 #2707 #2709 #2711 #2839]: #2841
+#2847 := [trans #2842 #2845]: #2846
+#3028 := [monotonicity #2847 #3025]: #3027
+#2702 := (iff #2066 #2701)
+#2699 := (iff #2063 #2698)
+#2696 := (iff #2058 #2695)
+#2693 := (iff #2051 #2692)
+#2690 := (iff #2050 #2687)
+#2680 := (+ #1299 #2048)
+#2683 := (>= #2680 0::int)
+#2688 := (iff #2683 #2687)
+#2689 := [rewrite]: #2688
+#2684 := (iff #2050 #2683)
+#2681 := (= #2049 #2680)
+#2682 := [rewrite]: #2681
+#2685 := [monotonicity #2682]: #2684
+#2691 := [trans #2685 #2689]: #2690
+#2694 := [monotonicity #2691]: #2693
+#2678 := (iff #2055 #2675)
+#2664 := (+ #2048 #2053)
+#2665 := (+ #1299 #2664)
+#2668 := (= #2665 0::int)
+#2676 := (iff #2668 #2675)
+#2677 := [rewrite]: #2676
+#2669 := (iff #2055 #2668)
+#2666 := (= #2054 #2665)
+#2667 := [rewrite]: #2666
+#2670 := [monotonicity #2667]: #2669
+#2679 := [trans #2670 #2677]: #2678
+#2697 := [monotonicity #2679 #2694]: #2696
+#2700 := [monotonicity #2697]: #2699
+#2703 := [quant-intro #2700]: #2702
+#2662 := (iff #2039 #2661)
+#2659 := (iff #2036 #2658)
+#2656 := (iff #2031 #2655)
+#2653 := (iff #2026 #2650)
+#2640 := (+ #2022 #2024)
+#2641 := (+ #1261 #2640)
+#2644 := (= #2641 0::int)
+#2651 := (iff #2644 #2650)
+#2652 := [rewrite]: #2651
+#2645 := (iff #2026 #2644)
+#2642 := (= #2025 #2641)
+#2643 := [rewrite]: #2642
+#2646 := [monotonicity #2643]: #2645
+#2654 := [trans #2646 #2652]: #2653
+#2638 := (iff #2029 #2637)
+#2635 := (iff #2028 #2632)
+#2624 := (+ #1261 #2024)
+#2627 := (>= #2624 0::int)
+#2633 := (iff #2627 #2632)
+#2634 := [rewrite]: #2633
+#2628 := (iff #2028 #2627)
+#2625 := (= #2027 #2624)
+#2626 := [rewrite]: #2625
+#2629 := [monotonicity #2626]: #2628
+#2636 := [trans #2629 #2634]: #2635
+#2639 := [monotonicity #2636]: #2638
+#2657 := [monotonicity #2639 #2654]: #2656
+#2660 := [monotonicity #2657]: #2659
+#2663 := [quant-intro #2660]: #2662
+#2622 := (iff #2015 #109)
+#2623 := [rewrite]: #2622
+#3031 := [monotonicity #2623 #2663 #2703 #3028]: #3030
+#3036 := [trans #3031 #3034]: #3035
+#2620 := (iff #2010 #2617)
+#2583 := (and #1991 #2577)
+#2614 := (and #2583 #2611)
+#2618 := (iff #2614 #2617)
+#2619 := [rewrite]: #2618
+#2615 := (iff #2010 #2614)
+#2612 := (iff #2006 #2611)
+#2609 := (iff #2003 #2608)
+#2606 := (iff #1987 #2605)
+#2603 := (iff #1983 #2602)
+#2600 := (= #1982 #2599)
+#2601 := [rewrite]: #2600
+#2604 := [monotonicity #2601]: #2603
+#2607 := [monotonicity #2604]: #2606
+#2610 := [monotonicity #2607]: #2609
+#2613 := [quant-intro #2610]: #2612
+#2596 := (iff #2000 #2583)
+#2588 := (not #2583)
+#2591 := (not #2588)
+#2594 := (iff #2591 #2583)
+#2595 := [rewrite]: #2594
+#2592 := (iff #2000 #2591)
+#2589 := (iff #1995 #2588)
+#2586 := (iff #1994 #2583)
+#2580 := (and #2577 #1991)
+#2584 := (iff #2580 #2583)
+#2585 := [rewrite]: #2584
+#2581 := (iff #1994 #2580)
+#2578 := (iff #1993 #2577)
+#2579 := [monotonicity #2576]: #2578
+#2582 := [monotonicity #2579]: #2581
+#2587 := [trans #2582 #2585]: #2586
+#2590 := [monotonicity #2587]: #2589
+#2593 := [monotonicity #2590]: #2592
+#2597 := [trans #2593 #2595]: #2596
+#2616 := [monotonicity #2597 #2613]: #2615
+#2621 := [trans #2616 #2619]: #2620
+#3039 := [monotonicity #2621 #3036]: #3038
+#3042 := [monotonicity #3039]: #3041
+#2572 := (iff #1964 #2571)
+#2569 := (iff #1963 #2568)
+#2566 := (iff #1955 #2565)
+#2563 := (= #1954 #2562)
+#2564 := [rewrite]: #2563
+#2567 := [monotonicity #2564]: #2566
+#2559 := (iff #1962 #2558)
+#2556 := (iff #1961 #2555)
+#2557 := [rewrite]: #2556
+#2560 := [monotonicity #2557]: #2559
+#2570 := [monotonicity #2560 #2567]: #2569
+#2573 := [monotonicity #2570]: #2572
+#3045 := [monotonicity #2573 #3042]: #3044
+#3048 := [monotonicity #3045]: #3047
+#2553 := (iff #1934 #2552)
+#2550 := (iff #1933 #2549)
+#2547 := (iff #1927 #2544)
+#2536 := (+ #1924 #1925)
+#2539 := (>= #2536 0::int)
+#2545 := (iff #2539 #2544)
+#2546 := [rewrite]: #2545
+#2540 := (iff #1927 #2539)
+#2537 := (= #1926 #2536)
+#2538 := [rewrite]: #2537
+#2541 := [monotonicity #2538]: #2540
+#2548 := [trans #2541 #2546]: #2547
+#2534 := (iff #1932 #2533)
+#2531 := (iff #1931 #2530)
+#2532 := [rewrite]: #2531
+#2535 := [monotonicity #2532]: #2534
+#2551 := [monotonicity #2535 #2548]: #2550
+#2554 := [monotonicity #2551]: #2553
+#3051 := [monotonicity #2554 #3048]: #3050
+#3054 := [monotonicity #3051]: #3053
+#3057 := [monotonicity #3054]: #3056
+#2528 := (iff #1864 #81)
+#2529 := [rewrite]: #2528
+#3060 := [monotonicity #2529 #3057]: #3059
+#3063 := [monotonicity #3060]: #3062
+#1838 := (not #1802)
+#2523 := (~ #1838 #2522)
+#2519 := (not #1799)
+#2520 := (~ #2519 #2518)
+#2515 := (not #1796)
+#2516 := (~ #2515 #2514)
+#2511 := (not #1793)
+#2512 := (~ #2511 #2510)
+#2507 := (not #1790)
+#2508 := (~ #2507 #2506)
+#2503 := (not #1787)
+#2504 := (~ #2503 #2502)
+#2499 := (not #1784)
+#2500 := (~ #2499 #2498)
+#2495 := (not #1781)
+#2496 := (~ #2495 #2494)
+#2491 := (not #1778)
+#2492 := (~ #2491 #2490)
+#2487 := (not #1773)
+#2488 := (~ #2487 #2486)
+#2483 := (not #1744)
+#2484 := (~ #2483 #1741)
+#2481 := (~ #1741 #1741)
+#2479 := (~ #1738 #1738)
+#2480 := [refl]: #2479
+#2482 := [nnf-pos #2480]: #2481
+#2485 := [nnf-neg #2482]: #2484
+#2476 := (not #1735)
+#2477 := (~ #2476 #1732)
+#2474 := (~ #1732 #1732)
+#2472 := (~ #1727 #1727)
+#2473 := [refl]: #2472
+#2475 := [nnf-pos #2473]: #2474
+#2478 := [nnf-neg #2475]: #2477
+#2469 := (not #1719)
+#2470 := (~ #2469 #1716)
+#2467 := (~ #1716 #1716)
+#2465 := (~ #1713 #1713)
+#2466 := [refl]: #2465
+#2468 := [nnf-pos #2466]: #2467
+#2471 := [nnf-neg #2468]: #2470
+#2462 := (not #1696)
+#2463 := (~ #2462 #2461)
+#2458 := (not #1691)
+#2459 := (~ #2458 #2457)
+#2455 := (~ #1657 #1657)
+#2456 := [refl]: #2455
+#2452 := (not #1652)
+#2453 := (~ #2452 #1649)
+#2450 := (~ #1649 #1649)
+#2448 := (~ #1644 #1644)
+#2449 := [refl]: #2448
+#2451 := [nnf-pos #2449]: #2450
+#2454 := [nnf-neg #2451]: #2453
+#2445 := (not #1634)
+#2446 := (~ #2445 #1631)
+#2443 := (~ #1631 #1631)
+#2441 := (~ #1628 #1628)
+#2442 := [refl]: #2441
+#2444 := [nnf-pos #2442]: #2443
+#2447 := [nnf-neg #2444]: #2446
+#2438 := (not #1617)
+#2439 := (~ #2438 #2437)
+#2434 := (not #1614)
+#2435 := (~ #2434 #2433)
+#2430 := (not #1611)
+#2431 := (~ #2430 #2429)
+#2426 := (not #1608)
+#2427 := (~ #2426 #2425)
+#2422 := (not #1605)
+#2423 := (~ #2422 #2421)
+#2418 := (not #1602)
+#2419 := (~ #2418 #2417)
+#2414 := (not #1599)
+#2415 := (~ #2414 #2413)
+#2410 := (not #1596)
+#2411 := (~ #2410 #2409)
+#2406 := (not #1593)
+#2407 := (~ #2406 #2405)
+#2402 := (not #1590)
+#2403 := (~ #2402 #2401)
+#2398 := (not #1587)
+#2399 := (~ #2398 #2397)
+#2394 := (not #1584)
+#2395 := (~ #2394 #2393)
+#2375 := (not #1581)
+#2391 := (~ #2375 #2388)
+#2365 := (exists (vars (?x76 T2)) #2364)
+#2373 := (or #2372 #2365)
+#2374 := (not #2373)
+#2389 := (~ #2374 #2388)
+#2385 := (not #2365)
+#2386 := (~ #2385 #2384)
+#2382 := (~ #2381 #2381)
+#2383 := [refl]: #2382
+#2387 := [nnf-neg #2383]: #2386
+#2379 := (~ #2378 #2378)
+#2380 := [refl]: #2379
+#2390 := [nnf-neg #2380 #2387]: #2389
+#2376 := (~ #2375 #2374)
+#2377 := [sk]: #2376
+#2392 := [trans #2377 #2390]: #2391
+#2351 := (not #1544)
+#2352 := (~ #2351 #1541)
+#2349 := (~ #1541 #1541)
+#2347 := (~ #1538 #1538)
+#2348 := [refl]: #2347
+#2350 := [nnf-pos #2348]: #2349
+#2353 := [nnf-neg #2350]: #2352
+#2396 := [nnf-neg #2353 #2392]: #2395
+#2343 := (~ #1544 #2342)
+#2344 := [sk]: #2343
+#2400 := [nnf-neg #2344 #2396]: #2399
+#2320 := (not #1520)
+#2321 := (~ #2320 #1517)
+#2318 := (~ #1517 #1517)
+#2316 := (~ #1512 #1512)
+#2317 := [refl]: #2316
+#2319 := [nnf-pos #2317]: #2318
+#2322 := [nnf-neg #2319]: #2321
+#2404 := [nnf-neg #2322 #2400]: #2403
+#2312 := (~ #1520 #2311)
+#2313 := [sk]: #2312
+#2408 := [nnf-neg #2313 #2404]: #2407
+#2293 := (not #1501)
+#2294 := (~ #2293 #1498)
+#2291 := (~ #1498 #1498)
+#2289 := (~ #1495 #1495)
+#2290 := [refl]: #2289
+#2292 := [nnf-pos #2290]: #2291
+#2295 := [nnf-neg #2292]: #2294
+#2412 := [nnf-neg #2295 #2408]: #2411
+#2285 := (~ #1501 #2284)
+#2286 := [sk]: #2285
+#2416 := [nnf-neg #2286 #2412]: #2415
+#2279 := (~ #2278 #2278)
+#2280 := [refl]: #2279
+#2420 := [nnf-neg #2280 #2416]: #2419
+#2276 := (~ #1492 #1492)
+#2277 := [refl]: #2276
+#2424 := [nnf-neg #2277 #2420]: #2423
+#2273 := (not #939)
+#2274 := (~ #2273 #785)
+#2271 := (~ #785 #785)
+#2269 := (~ #780 #780)
+#2270 := [refl]: #2269
+#2272 := [nnf-pos #2270]: #2271
+#2275 := [nnf-neg #2272]: #2274
+#2428 := [nnf-neg #2275 #2424]: #2427
+#2265 := (~ #939 #2264)
+#2266 := [sk]: #2265
+#2432 := [nnf-neg #2266 #2428]: #2431
+#2253 := (not #1487)
+#2254 := (~ #2253 #1484)
+#2251 := (~ #1484 #1484)
+#2249 := (~ #1479 #1479)
+#2250 := [refl]: #2249
+#2252 := [nnf-pos #2250]: #2251
+#2255 := [nnf-neg #2252]: #2254
+#2436 := [nnf-neg #2255 #2432]: #2435
+#2245 := (~ #1487 #2244)
+#2246 := [sk]: #2245
+#2440 := [nnf-neg #2246 #2436]: #2439
+#2235 := (not #1476)
+#2236 := (~ #2235 #1473)
+#2233 := (~ #1473 #1473)
+#2231 := (~ #1468 #1468)
+#2232 := [refl]: #2231
+#2234 := [nnf-pos #2232]: #2233
+#2237 := [nnf-neg #2234]: #2236
+#2228 := (not #1667)
+#2229 := (~ #2228 #2223)
+#2224 := (~ #1426 #2223)
+#2225 := [sk]: #2224
+#2230 := [nnf-neg #2225]: #2229
+#2212 := (~ #731 #731)
+#2213 := [refl]: #2212
+#2210 := (~ #2209 #2209)
+#2211 := [refl]: #2210
+#2460 := [nnf-neg #2211 #2213 #2230 #2237 #2440 #2447 #2454 #2456]: #2459
+#2206 := (not #1444)
+#2207 := (~ #2206 #2205)
+#2203 := (~ #1667 #2202)
+#2200 := (~ #2199 #2199)
+#2201 := [refl]: #2200
+#2204 := [nnf-neg #2201]: #2203
+#2196 := (not #1415)
+#2197 := (~ #2196 #2195)
+#2192 := (not #1412)
+#2193 := (~ #2192 #2191)
+#2188 := (not #1409)
+#2189 := (~ #2188 #2187)
+#2184 := (not #1404)
+#2185 := (~ #2184 #2183)
+#2180 := (not #1396)
+#2181 := (~ #2180 #1393)
+#2178 := (~ #1393 #1393)
+#2176 := (~ #1390 #1390)
+#2177 := [refl]: #2176
+#2179 := [nnf-pos #2177]: #2178
+#2182 := [nnf-neg #2179]: #2181
+#2174 := (~ #2173 #2173)
+#2175 := [refl]: #2174
+#2186 := [nnf-neg #2175 #2182]: #2185
+#2169 := (~ #1396 #2168)
+#2170 := [sk]: #2169
+#2190 := [nnf-neg #2170 #2186]: #2189
+#2144 := (not #1378)
+#2145 := (~ #2144 #2141)
+#2142 := (~ #1375 #2141)
+#2139 := (~ #1372 #2138)
+#2134 := (~ #1369 #2133)
+#2135 := [sk]: #2134
+#2122 := (~ #1353 #1353)
+#2123 := [refl]: #2122
+#2140 := [monotonicity #2123 #2135]: #2139
+#2143 := [nnf-pos #2140]: #2142
+#2146 := [nnf-neg #2143]: #2145
+#2194 := [nnf-neg #2146 #2190]: #2193
+#2120 := (~ #1378 #2117)
+#2095 := (exists (vars (?x50 T2)) #2094)
+#2103 := (or #2102 #2095)
+#2104 := (not #2103)
+#2118 := (~ #2104 #2117)
+#2114 := (not #2095)
+#2115 := (~ #2114 #2113)
+#2111 := (~ #2110 #2110)
+#2112 := [refl]: #2111
+#2116 := [nnf-neg #2112]: #2115
+#2108 := (~ #2107 #2107)
+#2109 := [refl]: #2108
+#2119 := [nnf-neg #2109 #2116]: #2118
+#2105 := (~ #1378 #2104)
+#2106 := [sk]: #2105
+#2121 := [trans #2106 #2119]: #2120
+#2198 := [nnf-neg #2121 #2194]: #2197
+#2082 := (~ #2081 #2081)
+#2083 := [refl]: #2082
+#2079 := (~ #2078 #2078)
+#2080 := [refl]: #2079
+#2076 := (~ #2075 #2075)
+#2077 := [refl]: #2076
+#2073 := (~ #2072 #2072)
+#2074 := [refl]: #2073
+#2208 := [nnf-neg #2074 #2077 #2080 #2083 #2198 #2204]: #2207
+#2464 := [nnf-neg #2208 #2460]: #2463
+#2069 := (not #1341)
+#2070 := (~ #2069 #2066)
+#2067 := (~ #1338 #2066)
+#2064 := (~ #1335 #2063)
+#2059 := (~ #1332 #2058)
+#2060 := [sk]: #2059
+#2045 := (~ #1308 #1308)
+#2046 := [refl]: #2045
+#2065 := [monotonicity #2046 #2060]: #2064
+#2068 := [nnf-pos #2065]: #2067
+#2071 := [nnf-neg #2068]: #2070
+#2042 := (not #1752)
+#2043 := (~ #2042 #2039)
+#2040 := (~ #1296 #2039)
+#2037 := (~ #1293 #2036)
+#2032 := (~ #1290 #2031)
+#2033 := [sk]: #2032
+#2018 := (~ #1270 #1270)
+#2019 := [refl]: #2018
+#2038 := [monotonicity #2019 #2033]: #2037
+#2041 := [nnf-pos #2038]: #2040
+#2044 := [nnf-neg #2041]: #2043
+#2016 := (~ #2015 #2015)
+#2017 := [refl]: #2016
+#2489 := [nnf-neg #2017 #2044 #2071 #2464 #2471 #2478 #2485]: #2488
+#2013 := (~ #1752 #2010)
+#1988 := (exists (vars (?x38 T2)) #1987)
+#1996 := (or #1995 #1988)
+#1997 := (not #1996)
+#2011 := (~ #1997 #2010)
+#2007 := (not #1988)
+#2008 := (~ #2007 #2006)
+#2004 := (~ #2003 #2003)
+#2005 := [refl]: #2004
+#2009 := [nnf-neg #2005]: #2008
+#2001 := (~ #2000 #2000)
+#2002 := [refl]: #2001
+#2012 := [nnf-neg #2002 #2009]: #2011
+#1998 := (~ #1752 #1997)
+#1999 := [sk]: #1998
+#2014 := [trans #1999 #2012]: #2013
+#2493 := [nnf-neg #2014 #2489]: #2492
+#1973 := (not #1258)
+#1974 := (~ #1973 #1255)
+#1971 := (~ #1255 #1255)
+#1969 := (~ #1252 #1252)
+#1970 := [refl]: #1969
+#1972 := [nnf-pos #1970]: #1971
+#1975 := [nnf-neg #1972]: #1974
+#2497 := [nnf-neg #1975 #2493]: #2496
+#1965 := (~ #1258 #1964)
+#1966 := [sk]: #1965
+#2501 := [nnf-neg #1966 #2497]: #2500
+#1943 := (not #1232)
+#1944 := (~ #1943 #1229)
+#1941 := (~ #1229 #1229)
+#1939 := (~ #1226 #1226)
+#1940 := [refl]: #1939
+#1942 := [nnf-pos #1940]: #1941
+#1945 := [nnf-neg #1942]: #1944
+#2505 := [nnf-neg #1945 #2501]: #2504
+#1935 := (~ #1232 #1934)
+#1936 := [sk]: #1935
+#2509 := [nnf-neg #1936 #2505]: #2508
+#1918 := (not #1217)
+#1919 := (~ #1918 #1214)
+#1916 := (~ #1214 #1214)
+#1914 := (~ #1213 #1213)
+#1915 := [refl]: #1914
+#1917 := [nnf-pos #1915]: #1916
+#1920 := [nnf-neg #1917]: #1919
+#2513 := [nnf-neg #1920 #2509]: #2512
+#1910 := (~ #1217 #1909)
+#1911 := [sk]: #1910
+#2517 := [nnf-neg #1911 #2513]: #2516
+#1865 := (~ #1864 #1864)
+#1905 := [refl]: #1865
+#2521 := [nnf-neg #1905 #2517]: #2520
+#1903 := (~ #1208 #1208)
+#1904 := [refl]: #1903
+#2524 := [nnf-neg #1904 #2521]: #2523
+#1839 := [not-or-elim #1835]: #1838
+#2525 := [mp~ #1839 #2524]: #2522
+#2526 := [mp #2525 #3063]: #3061
+#3705 := [mp #2526 #3704]: #3702
+#4636 := [mp #3705 #4635]: #4633
+#4922 := [unit-resolution #4636 #4656]: #4630
+#3960 := (or #4627 #4621)
+#3961 := [def-axiom]: #3960
+#4948 := [unit-resolution #3961 #4922]: #4621
+#373 := (<= uf_9 0::int)
+#374 := (not #373)
+#57 := (< 0::int uf_9)
+#375 := (iff #57 #374)
+#376 := [rewrite]: #375
+#369 := [asserted]: #57
+#377 := [mp #369 #376]: #374
+#4731 := (* -1::int #1907)
+#4773 := (+ uf_9 #4731)
+#4774 := (<= #4773 0::int)
+#4662 := (= uf_9 #1907)
+#4665 := (= uf_11 ?x27!0)
+#4779 := (not #4665)
+#4776 := (= #1907 0::int)
+#4795 := (not #4776)
+#4789 := [hypothesis]: #1909
+#4796 := (or #4795 #1908)
+#4797 := [th-lemma]: #4796
+#4798 := [unit-resolution #4797 #4789]: #4795
+#4767 := (or #3800 #4779 #4776)
+#4663 := (= ?x27!0 uf_11)
+#4777 := (not #4663)
+#4778 := (or #4777 #4776)
+#4762 := (or #3800 #4778)
+#4791 := (iff #4762 #4767)
+#4764 := (or #4779 #4776)
+#4769 := (or #3800 #4764)
+#4772 := (iff #4769 #4767)
+#4790 := [rewrite]: #4772
+#4770 := (iff #4762 #4769)
+#4765 := (iff #4778 #4764)
+#4780 := (iff #4777 #4779)
+#4666 := (iff #4663 #4665)
+#4718 := [rewrite]: #4666
+#4763 := [monotonicity #4718]: #4780
+#4766 := [monotonicity #4763]: #4765
+#4771 := [monotonicity #4766]: #4770
+#4792 := [trans #4771 #4790]: #4791
+#4768 := [quant-inst]: #4762
+#4793 := [mp #4768 #4792]: #4767
+#4799 := [unit-resolution #4793 #4642 #4798]: #4779
+#4722 := (or #4662 #4665)
+#4707 := (or #4706 #4662 #4665)
+#4664 := (or #4663 #4662)
+#4708 := (or #4706 #4664)
+#4714 := (iff #4708 #4707)
+#4710 := (or #4706 #4722)
+#4712 := (iff #4710 #4707)
+#4713 := [rewrite]: #4712
+#4705 := (iff #4708 #4710)
+#4725 := (iff #4664 #4722)
+#4719 := (or #4665 #4662)
+#4723 := (iff #4719 #4722)
+#4724 := [rewrite]: #4723
+#4720 := (iff #4664 #4719)
+#4721 := [monotonicity #4718]: #4720
+#4726 := [trans #4721 #4724]: #4725
+#4711 := [monotonicity #4726]: #4705
+#4715 := [trans #4711 #4713]: #4714
+#4709 := [quant-inst]: #4708
+#4730 := [mp #4709 #4715]: #4707
+#4851 := [unit-resolution #4730 #4263]: #4722
+#4852 := [unit-resolution #4851 #4799]: #4662
+#4853 := (not #4662)
+#4854 := (or #4853 #4774)
+#4855 := [th-lemma]: #4854
+#4856 := [unit-resolution #4855 #4852]: #4774
+#4794 := (<= #1907 0::int)
+#4857 := (or #4794 #1908)
+#4858 := [th-lemma]: #4857
+#4859 := [unit-resolution #4858 #4789]: #4794
+#4839 := [th-lemma #4859 #4856 #377]: false
+#4840 := [lemma #4839]: #1908
+#3955 := (or #4624 #1909 #4618)
+#3956 := [def-axiom]: #3955
+#5086 := [unit-resolution #3956 #4840 #4948]: #4618
+#3979 := (or #4615 #4609)
+#3980 := [def-axiom]: #3979
+#5292 := [unit-resolution #3980 #5086]: #4609
+#5416 := [hypothesis]: #1928
+#5028 := (or #4844 #1968)
+#5029 := [quant-inst]: #5028
+#5422 := [unit-resolution #5029 #4256 #5416]: false
+#5423 := [lemma #5422]: #1968
+#3772 := (or #2171 #1928)
+#3859 := [def-axiom]: #3772
+#5293 := [unit-resolution #3859 #5423]: #2171
+#3973 := (or #4612 #2248 #4606)
+#3975 := [def-axiom]: #3973
+#5417 := [unit-resolution #3975 #5293 #5292]: #4606
+#4000 := (or #4603 #4597)
+#4001 := [def-axiom]: #4000
+#5418 := [unit-resolution #4001 #5417]: #4597
+#3996 := (or #4600 #3106 #4594)
+#3997 := [def-axiom]: #3996
+#5452 := [unit-resolution #3997 #5418 #4921]: #4594
+#4010 := (or #4591 #4585)
+#4031 := [def-axiom]: #4010
+#5507 := [unit-resolution #4031 #5452]: #4585
+#4018 := (or #4588 #4302 #4582)
+#4019 := [def-axiom]: #4018
+#5496 := [unit-resolution #4019 #5507 #5196]: #4582
+#4049 := (or #4579 #109)
+#4050 := [def-axiom]: #4049
+#5498 := [unit-resolution #4050 #5496]: #109
+#9048 := (= #166 #108)
+#9042 := [hypothesis]: #4415
+#4151 := (or #4412 #569)
+#4152 := [def-axiom]: #4151
+#9043 := [unit-resolution #4152 #9042]: #569
+#8965 := [symm #9043]: #147
+#9049 := [monotonicity #8965]: #9048
+#9047 := [trans #9049 #5498]: #167
+#3867 := (or #4412 #4348)
+#4149 := [def-axiom]: #3867
+#9030 := [unit-resolution #4149 #9042]: #4348
+#7181 := (or #3369 #4353 #674)
+#9174 := [hypothesis]: #569
+#9183 := [hypothesis]: #4348
+#9172 := [hypothesis]: #3374
+#4168 := (or #3369 #2164)
+#4169 := [def-axiom]: #4168
+#7182 := [unit-resolution #4169 #9172]: #2164
+#9200 := (or #3369 #2163 #4353 #674)
+#8980 := (uf_4 uf_14 ?x54!10)
+#7073 := (uf_4 uf_14 ?x53!11)
+#7171 := (* -1::int #7073)
+#9058 := (+ #7171 #8980)
+#9059 := (+ #2154 #9058)
+#9062 := (>= #9059 0::int)
+#8984 := (uf_6 uf_15 ?x54!10)
+#8985 := (= uf_8 #8984)
+#8981 := (* -1::int #8980)
+#8982 := (+ uf_9 #8981)
+#8983 := (<= #8982 0::int)
+#9168 := (not #8983)
+#4166 := (or #3369 #2160)
+#4167 := [def-axiom]: #4166
+#9173 := [unit-resolution #4167 #9172]: #2160
+#9161 := (+ #2151 #8981)
+#9163 := (>= #9161 0::int)
+#9160 := (= #2151 #8980)
+#9175 := (= #8980 #2151)
+#9176 := [monotonicity #9174]: #9175
+#9177 := [symm #9176]: #9160
+#9178 := (not #9160)
+#9179 := (or #9178 #9163)
+#9180 := [th-lemma]: #9179
+#9181 := [unit-resolution #9180 #9177]: #9163
+#9169 := (not #9163)
+#9170 := (or #9168 #9169 #2159)
+#9164 := [hypothesis]: #2160
+#9165 := [hypothesis]: #8983
+#9166 := [hypothesis]: #9163
+#9167 := [th-lemma #9166 #9165 #9164]: false
+#9171 := [lemma #9167]: #9170
+#9182 := [unit-resolution #9171 #9181 #9173]: #9168
+#8987 := (or #8983 #8985)
+#8990 := (or #4353 #8983 #8985)
+#8986 := (or #8985 #8983)
+#8991 := (or #4353 #8986)
+#8998 := (iff #8991 #8990)
+#8993 := (or #4353 #8987)
+#8996 := (iff #8993 #8990)
+#8997 := [rewrite]: #8996
+#8994 := (iff #8991 #8993)
+#8988 := (iff #8986 #8987)
+#8989 := [rewrite]: #8988
+#8995 := [monotonicity #8989]: #8994
+#8999 := [trans #8995 #8997]: #8998
+#8992 := [quant-inst]: #8991
+#9000 := [mp #8992 #8999]: #8990
+#9184 := [unit-resolution #9000 #9183]: #8987
+#9185 := [unit-resolution #9184 #9182]: #8985
+#9056 := (not #8985)
+#9188 := (or #9056 #9062)
+#9186 := [hypothesis]: #2164
+#4052 := (or #4579 #4314)
+#4032 := [def-axiom]: #4052
+#9187 := [unit-resolution #4032 #5496]: #4314
+#9073 := (or #4319 #2163 #9056 #9062)
+#9051 := (+ #8980 #7171)
+#9052 := (+ #2154 #9051)
+#9055 := (>= #9052 0::int)
+#9057 := (or #9056 #2163 #9055)
+#9074 := (or #4319 #9057)
+#9081 := (iff #9074 #9073)
+#9068 := (or #2163 #9056 #9062)
+#9076 := (or #4319 #9068)
+#9079 := (iff #9076 #9073)
+#9080 := [rewrite]: #9079
+#9077 := (iff #9074 #9076)
+#9071 := (iff #9057 #9068)
+#9065 := (or #9056 #2163 #9062)
+#9069 := (iff #9065 #9068)
+#9070 := [rewrite]: #9069
+#9066 := (iff #9057 #9065)
+#9063 := (iff #9055 #9062)
+#9060 := (= #9052 #9059)
+#9061 := [rewrite]: #9060
+#9064 := [monotonicity #9061]: #9063
+#9067 := [monotonicity #9064]: #9066
+#9072 := [trans #9067 #9070]: #9071
+#9078 := [monotonicity #9072]: #9077
+#9082 := [trans #9078 #9080]: #9081
+#9075 := [quant-inst]: #9074
+#9083 := [mp #9075 #9082]: #9073
+#9189 := [unit-resolution #9083 #9187 #9186]: #9188
+#9190 := [unit-resolution #9189 #9185]: #9062
+#4164 := (not #2815)
+#4170 := (or #3369 #4164)
+#3808 := [def-axiom]: #4170
+#9191 := [unit-resolution #3808 #9172]: #4164
+#9155 := (+ #2149 #7171)
+#9158 := (<= #9155 0::int)
+#9154 := (= #2149 #7073)
+#9192 := (= #7073 #2149)
+#9193 := [monotonicity #9174]: #9192
+#9194 := [symm #9193]: #9154
+#9195 := (not #9154)
+#9196 := (or #9195 #9158)
+#9197 := [th-lemma]: #9196
+#9198 := [unit-resolution #9197 #9194]: #9158
+#9199 := [th-lemma #9198 #9191 #9181 #9190]: false
+#9201 := [lemma #9199]: #9200
+#7183 := [unit-resolution #9201 #7182 #9172 #9183 #9174]: false
+#7082 := [lemma #7183]: #7181
+#9031 := [unit-resolution #7082 #9030 #9043]: #3369
+#4153 := (or #4412 #4406)
+#4150 := [def-axiom]: #4153
+#8964 := [unit-resolution #4150 #9042]: #4406
+#9037 := (or #4412 #2097)
+#5396 := (uf_4 uf_14 ?x49!8)
+#5456 := (* -1::int #5396)
+#5457 := (+ uf_9 #5456)
+#5458 := (<= #5457 0::int)
+#6793 := (not #5458)
+#6788 := [hypothesis]: #2098
+#6206 := (+ #2085 #5456)
+#6232 := (>= #6206 0::int)
+#5257 := (= #2085 #5396)
+#9044 := (= #5396 #2085)
+#9045 := [monotonicity #9043]: #9044
+#8975 := [symm #9045]: #5257
+#8976 := (not #5257)
+#8977 := (or #8976 #6232)
+#8978 := [th-lemma]: #8977
+#8979 := [unit-resolution #8978 #8975]: #6232
+#6794 := (not #6232)
+#6792 := (or #6793 #6794 #2097)
+#6786 := [hypothesis]: #6232
+#6790 := [hypothesis]: #5458
+#6791 := [th-lemma #6790 #6786 #6788]: false
+#6816 := [lemma #6791]: #6792
+#8974 := [unit-resolution #6816 #8979 #6788]: #6793
+#6231 := (<= #6206 0::int)
+#8961 := (or #8976 #6231)
+#8962 := [th-lemma]: #8961
+#8963 := [unit-resolution #8962 #8975]: #6231
+#4163 := (or #4388 #2173)
+#3826 := [def-axiom]: #4163
+#9029 := [unit-resolution #3826 #9047]: #4388
+#4175 := (or #4397 #4391 #3374)
+#4161 := [def-axiom]: #4175
+#9032 := [unit-resolution #4161 #9031 #9029]: #4397
+#3885 := (or #4400 #4394)
+#3886 := [def-axiom]: #3885
+#9046 := [unit-resolution #3886 #9032]: #4400
+#4155 := (or #4409 #4369 #4403)
+#4159 := [def-axiom]: #4155
+#9033 := [unit-resolution #4159 #9046 #8964]: #4369
+#5178 := (?x47!7 ?x49!8)
+#6376 := (uf_4 uf_19 #5178)
+#6600 := (* -1::int #6376)
+#5179 := (uf_4 uf_14 #5178)
+#8481 := (+ #5179 #6600)
+#6172 := (<= #8481 0::int)
+#5887 := (= #5179 #6376)
+#9028 := [monotonicity #9043]: #5887
+#9034 := (not #5887)
+#9035 := (or #9034 #6172)
+#9036 := [th-lemma]: #9035
+#9038 := [unit-resolution #9036 #9028]: #6172
+#8515 := (>= #8481 0::int)
+#9053 := (or #9034 #8515)
+#9054 := [th-lemma]: #9053
+#9109 := [unit-resolution #9054 #9028]: #8515
+#9290 := (not #6172)
+#9289 := (not #6231)
+#8950 := (not #8515)
+#9263 := (or #4366 #6794 #8950 #9289 #9290 #5458)
+#5641 := (+ #5179 #5456)
+#5665 := (>= #5641 0::int)
+#7930 := (not #5665)
+#5450 := (uf_1 #5178 ?x49!8)
+#5451 := (uf_10 #5450)
+#5631 := (+ #5456 #5451)
+#5637 := (+ #5179 #5631)
+#5526 := (= #5637 0::int)
+#5525 := (not #5526)
+#5508 := (uf_6 uf_15 #5178)
+#5517 := (= uf_8 #5508)
+#5518 := (not #5517)
+#5697 := (or #5518 #5525 #5665)
+#5707 := (not #5697)
+#9240 := [hypothesis]: #6793
+#9241 := [hypothesis]: #4369
+#3837 := (or #4366 #2715)
+#3842 := [def-axiom]: #3837
+#9242 := [unit-resolution #3842 #9241]: #2715
+#4039 := (or #4579 #4339)
+#4034 := [def-axiom]: #4039
+#9243 := [unit-resolution #4034 #5496]: #4339
+#7629 := (or #4344 #2712 #5458 #5707)
+#5424 := (* -1::int #5179)
+#5425 := (+ #5396 #5424)
+#5426 := (<= #5425 0::int)
+#5509 := (* -1::int #5451)
+#5514 := (+ #5424 #5509)
+#5515 := (+ #5396 #5514)
+#5513 := (= #5515 0::int)
+#5516 := (not #5513)
+#5523 := (or #5518 #5516 #5426)
+#5524 := (not #5523)
+#5522 := (or #2099 #5458 #5524)
+#7083 := (or #4344 #5522)
+#7435 := (iff #7083 #7629)
+#5819 := (or #2712 #5458 #5707)
+#7261 := (or #4344 #5819)
+#7430 := (iff #7261 #7629)
+#7436 := [rewrite]: #7430
+#7210 := (iff #7083 #7261)
+#5798 := (iff #5522 #5819)
+#5801 := (iff #5524 #5707)
+#5705 := (iff #5523 #5697)
+#5638 := (iff #5426 #5665)
+#5536 := (+ #5424 #5396)
+#5639 := (<= #5536 0::int)
+#5666 := (iff #5639 #5665)
+#5703 := [rewrite]: #5666
+#5640 := (iff #5426 #5639)
+#5497 := (= #5425 #5536)
+#5495 := [rewrite]: #5497
+#5634 := [monotonicity #5495]: #5640
+#5704 := [trans #5634 #5703]: #5638
+#5534 := (iff #5516 #5525)
+#5533 := (iff #5513 #5526)
+#5499 := (+ #5396 #5509)
+#5500 := (+ #5424 #5499)
+#5504 := (= #5500 0::int)
+#5527 := (iff #5504 #5526)
+#5532 := [rewrite]: #5527
+#5635 := (iff #5513 #5504)
+#5505 := (= #5515 #5500)
+#5506 := [rewrite]: #5505
+#5636 := [monotonicity #5506]: #5635
+#5531 := [trans #5636 #5532]: #5533
+#5535 := [monotonicity #5531]: #5534
+#5706 := [monotonicity #5535 #5704]: #5705
+#5818 := [monotonicity #5706]: #5801
+#5817 := [monotonicity #2714 #5818]: #5798
+#6900 := [monotonicity #5817]: #7210
+#7432 := [trans #6900 #7436]: #7435
+#7217 := [quant-inst]: #7083
+#7437 := [mp #7217 #7432]: #7629
+#9244 := [unit-resolution #7437 #9243 #9242 #9240]: #5707
+#7888 := (or #5697 #7930)
+#7931 := [def-axiom]: #7888
+#9239 := [unit-resolution #7931 #9244]: #7930
+#6592 := (+ #2085 #6600)
+#6591 := (<= #6592 0::int)
+#6800 := (+ #5509 #6600)
+#6802 := (+ #2085 #6800)
+#6783 := (= #6802 0::int)
+#8973 := (<= #6802 0::int)
+#9282 := [hypothesis]: #6172
+#9283 := [hypothesis]: #6231
+#5866 := (>= #5637 0::int)
+#7549 := (or #5697 #5526)
+#7928 := [def-axiom]: #7549
+#9245 := [unit-resolution #7928 #9244]: #5526
+#9246 := (or #5525 #5866)
+#9247 := [th-lemma]: #9246
+#9248 := [unit-resolution #9247 #9245]: #5866
+#9288 := (not #5866)
+#9291 := (or #8973 #9288 #9289 #9290)
+#9284 := [hypothesis]: #5866
+#9285 := (not #8973)
+#9286 := [hypothesis]: #9285
+#9287 := [th-lemma #9286 #9284 #9283 #9282]: false
+#9292 := [lemma #9287]: #9291
+#9249 := [unit-resolution #9292 #9248 #9283 #9282]: #8973
+#9256 := (or #6783 #9285)
+#7263 := (>= #6802 0::int)
+#8944 := [hypothesis]: #8515
+#5863 := (<= #5637 0::int)
+#9251 := (or #5525 #5863)
+#9252 := [th-lemma]: #9251
+#9253 := [unit-resolution #9252 #9245]: #5863
+#8949 := (not #5863)
+#8951 := (or #7263 #8949 #6794 #8950)
+#8945 := [hypothesis]: #5863
+#8946 := (not #7263)
+#8947 := [hypothesis]: #8946
+#8948 := [th-lemma #8947 #8945 #6786 #8944]: false
+#8952 := [lemma #8948]: #8951
+#9254 := [unit-resolution #8952 #9253 #6786 #8944]: #7263
+#9255 := (or #6783 #9285 #8946)
+#9250 := [th-lemma]: #9255
+#9257 := [unit-resolution #9250 #9254]: #9256
+#9258 := [unit-resolution #9257 #9249]: #6783
+#6818 := (not #6783)
+#6815 := (or #6591 #6818)
+#4178 := (or #4366 #4358)
+#3838 := [def-axiom]: #4178
+#9259 := [unit-resolution #3838 #9241]: #4358
+#8898 := (or #4363 #6591 #6818)
+#6374 := (+ #2086 #5451)
+#6377 := (+ #6376 #6374)
+#6477 := (= #6377 0::int)
+#6478 := (not #6477)
+#6366 := (+ #6376 #2086)
+#6479 := (>= #6366 0::int)
+#6480 := (or #6479 #6478)
+#8899 := (or #4363 #6480)
+#8905 := (iff #8899 #8898)
+#8124 := (or #4363 #6815)
+#8903 := (iff #8124 #8898)
+#8904 := [rewrite]: #8903
+#8901 := (iff #8899 #8124)
+#6821 := (iff #6480 #6815)
+#6819 := (iff #6478 #6818)
+#6782 := (iff #6477 #6783)
+#6572 := (+ #5451 #6376)
+#6011 := (+ #2086 #6572)
+#6083 := (= #6011 0::int)
+#6787 := (iff #6083 #6783)
+#6789 := [rewrite]: #6787
+#6797 := (iff #6477 #6083)
+#6795 := (= #6377 #6011)
+#6796 := [rewrite]: #6795
+#6799 := [monotonicity #6796]: #6797
+#6817 := [trans #6799 #6789]: #6782
+#6820 := [monotonicity #6817]: #6819
+#6626 := (iff #6479 #6591)
+#6481 := (+ #2086 #6376)
+#6597 := (>= #6481 0::int)
+#6627 := (iff #6597 #6591)
+#6628 := [rewrite]: #6627
+#6598 := (iff #6479 #6597)
+#6476 := (= #6366 #6481)
+#6482 := [rewrite]: #6476
+#6599 := [monotonicity #6482]: #6598
+#6629 := [trans #6599 #6628]: #6626
+#6784 := [monotonicity #6629 #6820]: #6821
+#8902 := [monotonicity #6784]: #8901
+#7262 := [trans #8902 #8904]: #8905
+#8900 := [quant-inst]: #8899
+#7283 := [mp #8900 #7262]: #8898
+#9260 := [unit-resolution #7283 #9259]: #6815
+#9264 := [unit-resolution #9260 #9258]: #6591
+#9265 := [th-lemma #6786 #8944 #9264 #9239]: false
+#9266 := [lemma #9265]: #9263
+#9110 := [unit-resolution #9266 #9109 #9038 #9033 #8963 #8979 #8974]: false
+#9111 := [lemma #9110]: #9037
+#5419 := [unit-resolution #9111 #9042]: #2097
+#4187 := (or #4366 #2098)
+#4177 := [def-axiom]: #4187
+#5867 := [unit-resolution #4177 #5419]: #4366
+#5862 := [unit-resolution #4159 #5867 #8964]: #4403
+#5363 := [unit-resolution #3886 #5862]: #4394
+#7926 := [unit-resolution #4161 #5363 #9031]: #4391
+#7932 := [unit-resolution #3826 #7926]: #2173
+#7884 := [unit-resolution #7932 #9047]: false
+#8887 := [lemma #7884]: #4412
+#4040 := (or #4579 #4573)
+#4008 := [def-axiom]: #4040
+#10724 := [unit-resolution #4008 #5496]: #4573
+#4045 := (or #4576 #4415 #4570)
+#4046 := [def-axiom]: #4045
+#10725 := [unit-resolution #4046 #10724]: #4573
+#10726 := [unit-resolution #10725 #8887]: #4570
+#4068 := (or #4567 #195)
+#4069 := [def-axiom]: #4068
+#13581 := [unit-resolution #4069 #10726]: #195
+#13578 := [symm #13581]: #7680
+#13576 := (= #10323 #194)
 #48 := (:var 0 T5)
 #47 := (:var 2 T4)
 #49 := (uf_7 #47 #10 #48)
-#4329 := (pattern #49)
+#4231 := (pattern #49)
 #360 := (= uf_8 #48)
 #50 := (uf_6 #49 #10)
 #356 := (= uf_8 #50)
 #363 := (iff #356 #360)
-#4330 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) (:pat #4329) #363)
+#4232 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) (:pat #4231) #363)
 #366 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #363)
-#4333 := (iff #366 #4330)
-#4331 := (iff #363 #363)
-#4332 := [refl]: #4331
-#4334 := [quant-intro #4332]: #4333
-#1957 := (~ #366 #366)
-#1995 := (~ #363 #363)
-#1996 := [refl]: #1995
-#1958 := [nnf-pos #1996]: #1957
+#4235 := (iff #366 #4232)
+#4233 := (iff #363 #363)
+#4234 := [refl]: #4233
+#4236 := [quant-intro #4234]: #4235
+#1852 := (~ #366 #366)
+#1890 := (~ #363 #363)
+#1891 := [refl]: #1890
+#1853 := [nnf-pos #1891]: #1852
 #52 := (= #48 uf_8)
 #51 := (= #50 uf_8)
 #53 := (iff #51 #52)
@@ -4731,274 +4637,150 @@
 #368 := [quant-intro #365]: #367
 #355 := [asserted]: #54
 #371 := [mp #355 #368]: #366
-#1997 := [mp~ #371 #1958]: #366
-#4335 := [mp #1997 #4334]: #4330
-#7014 := (not #4330)
-#7015 := (or #7014 #5314)
-#5318 := (= uf_8 uf_8)
-#5320 := (iff #5314 #5318)
-#7018 := (or #7014 #5320)
-#7020 := (iff #7018 #7015)
-#7022 := (iff #7015 #7015)
-#7023 := [rewrite]: #7022
-#5344 := (iff #5320 #5314)
-#5323 := (iff #5314 true)
-#5342 := (iff #5323 #5314)
-#5343 := [rewrite]: #5342
-#5324 := (iff #5320 #5323)
-#5321 := (iff #5318 true)
-#5322 := [rewrite]: #5321
-#5340 := [monotonicity #5322]: #5324
-#5345 := [trans #5340 #5343]: #5344
-#7021 := [monotonicity #5345]: #7020
-#7024 := [trans #7021 #7023]: #7020
-#7019 := [quant-inst]: #7018
-#7025 := [mp #7019 #7024]: #7015
-#8579 := [unit-resolution #7025 #4335]: #5314
-#8580 := [symm #8579]: #6089
-#8035 := (= #7128 uf_16)
-#7129 := (= uf_16 #7128)
-#16 := (uf_2 #12)
-#325 := (= #10 #16)
-#4301 := (forall (vars (?x4 T2) (?x5 T2)) (:pat #4294) #325)
-#329 := (forall (vars (?x4 T2) (?x5 T2)) #325)
-#4304 := (iff #329 #4301)
-#4302 := (iff #325 #325)
-#4303 := [refl]: #4302
-#4305 := [quant-intro #4303]: #4304
-#1949 := (~ #329 #329)
-#1983 := (~ #325 #325)
-#1984 := [refl]: #1983
-#1950 := [nnf-pos #1984]: #1949
-#17 := (= #16 #10)
-#18 := (forall (vars (?x4 T2) (?x5 T2)) #17)
-#330 := (iff #18 #329)
-#327 := (iff #17 #325)
-#328 := [rewrite]: #327
-#331 := [quant-intro #328]: #330
-#324 := [asserted]: #18
-#334 := [mp #324 #331]: #329
-#1985 := [mp~ #334 #1950]: #329
-#4306 := [mp #1985 #4305]: #4301
-#7136 := (not #4301)
-#7154 := (or #7136 #7129)
-#7155 := [quant-inst]: #7154
-#8034 := [unit-resolution #7155 #4306]: #7129
-#8036 := [symm #8034]: #8035
-#8593 := [monotonicity #8036 #8580]: #8592
-#8591 := [trans #8593 #8595]: #8596
-#32982 := [monotonicity #8591 #32984]: #32980
-#32970 := [monotonicity #32982]: #32985
-#32965 := [symm #32970]: #32955
-#32971 := [monotonicity #32965]: #32968
-#32956 := (not #15367)
-#32950 := [hypothesis]: #32956
-#15373 := (or #9846 #15367)
-#8693 := (= #144 #2212)
-#8633 := (= #2212 #144)
-#6559 := (= ?x46!9 uf_16)
-#7707 := (= ?x46!9 #7128)
-#6330 := (uf_6 uf_15 ?x46!9)
-#6365 := (= uf_8 #6330)
-#7717 := (ite #7707 #5314 #6365)
-#7711 := (uf_6 #7203 ?x46!9)
-#7714 := (= uf_8 #7711)
-#7720 := (iff #7714 #7717)
-#8351 := (or #7026 #7720)
-#7708 := (ite #7707 #6089 #6365)
-#7712 := (= #7711 uf_8)
-#7713 := (iff #7712 #7708)
-#8361 := (or #7026 #7713)
-#8363 := (iff #8361 #8351)
-#8365 := (iff #8351 #8351)
-#8366 := [rewrite]: #8365
-#7721 := (iff #7713 #7720)
-#7718 := (iff #7708 #7717)
-#7719 := [monotonicity #6102]: #7718
-#7715 := (iff #7712 #7714)
-#7716 := [rewrite]: #7715
-#7722 := [monotonicity #7716 #7719]: #7721
-#8364 := [monotonicity #7722]: #8363
-#8367 := [trans #8364 #8366]: #8363
-#8362 := [quant-inst]: #8361
-#8368 := [mp #8362 #8367]: #8351
-#8576 := [unit-resolution #8368 #4320]: #7720
-#8601 := (= #2208 #7711)
-#8597 := (= #7711 #2208)
-#8598 := [monotonicity #8591]: #8597
-#8625 := [symm #8598]: #8601
-#8571 := [hypothesis]: #2836
-#4285 := (or #2831 #2209)
-#4275 := [def-axiom]: #4285
-#8577 := [unit-resolution #4275 #8571]: #2209
-#8626 := [trans #8577 #8625]: #7714
-#8404 := (not #7714)
-#8401 := (not #7720)
-#8405 := (or #8401 #8404 #7717)
-#8400 := [def-axiom]: #8405
-#8627 := [unit-resolution #8400 #8626 #8576]: #7717
-#6393 := (uf_1 uf_16 ?x46!9)
-#6394 := (uf_10 #6393)
-#6337 := (* -1::int #2212)
-#6411 := (+ #6337 #6394)
-#6412 := (+ #144 #6411)
-#6413 := (>= #6412 0::int)
-#8287 := (not #6413)
-#6395 := (* -1::int #6394)
-#6396 := (+ uf_9 #6395)
-#6397 := (<= #6396 0::int)
-#6421 := (or #6397 #6413)
-#6426 := (not #6421)
-#3935 := (not #2825)
-#3940 := (or #2831 #3935)
-#4276 := [def-axiom]: #3940
-#8572 := [unit-resolution #4276 #8571]: #3935
-#4212 := (or #4595 #4456)
-#4213 := [def-axiom]: #4212
-#8574 := [unit-resolution #4213 #7389]: #4456
-#8302 := (or #4461 #2825 #6426)
-#6398 := (+ #1449 #6395)
-#6399 := (+ #2212 #6398)
-#6400 := (<= #6399 0::int)
-#6401 := (or #6400 #6397)
-#6402 := (not #6401)
-#6403 := (or #2213 #6402)
-#8303 := (or #4461 #6403)
-#8310 := (iff #8303 #8302)
-#6429 := (or #2825 #6426)
-#8305 := (or #4461 #6429)
-#8308 := (iff #8305 #8302)
-#8309 := [rewrite]: #8308
-#8306 := (iff #8303 #8305)
-#6430 := (iff #6403 #6429)
-#6427 := (iff #6402 #6426)
-#6424 := (iff #6401 #6421)
-#6418 := (or #6413 #6397)
-#6422 := (iff #6418 #6421)
-#6423 := [rewrite]: #6422
-#6419 := (iff #6401 #6418)
-#6416 := (iff #6400 #6413)
-#6404 := (+ #2212 #6395)
-#6405 := (+ #1449 #6404)
-#6408 := (<= #6405 0::int)
-#6414 := (iff #6408 #6413)
-#6415 := [rewrite]: #6414
-#6409 := (iff #6400 #6408)
-#6406 := (= #6399 #6405)
-#6407 := [rewrite]: #6406
-#6410 := [monotonicity #6407]: #6409
-#6417 := [trans #6410 #6415]: #6416
-#6420 := [monotonicity #6417]: #6419
-#6425 := [trans #6420 #6423]: #6424
-#6428 := [monotonicity #6425]: #6427
-#6431 := [monotonicity #2827 #6428]: #6430
-#8307 := [monotonicity #6431]: #8306
-#8311 := [trans #8307 #8309]: #8310
-#8304 := [quant-inst]: #8303
-#8312 := [mp #8304 #8311]: #8302
-#8628 := [unit-resolution #8312 #8574 #8572]: #6426
-#8288 := (or #6421 #8287)
-#8289 := [def-axiom]: #8288
-#8629 := [unit-resolution #8289 #8628]: #8287
-#8369 := (not #7717)
-#9187 := (or #7707 #6413 #8369)
-#7754 := (uf_1 #7128 ?x46!9)
-#7838 := (uf_3 #7754)
-#9086 := (uf_4 uf_14 #7838)
-#9087 := (* -1::int #9086)
-#7168 := (uf_4 uf_14 #7128)
-#9088 := (+ #7168 #9087)
-#9089 := (>= #9088 0::int)
-#9090 := (uf_6 uf_15 #7838)
-#9091 := (= uf_8 #9090)
-#9139 := (= #6330 #9090)
-#9135 := (= #9090 #6330)
-#9133 := (= #7838 ?x46!9)
-#7839 := (= ?x46!9 #7838)
-#8519 := (or #5378 #7839)
-#8257 := [quant-inst]: #8519
-#9132 := [unit-resolution #8257 #4300]: #7839
-#9134 := [symm #9132]: #9133
-#9136 := [monotonicity #9134]: #9135
-#9140 := [symm #9136]: #9139
-#9129 := [hypothesis]: #7717
-#7733 := (not #7707)
-#9130 := [hypothesis]: #7733
-#8347 := (or #8369 #7707 #6365)
-#8354 := [def-axiom]: #8347
-#9131 := [unit-resolution #8354 #9130 #9129]: #6365
-#9141 := [trans #9131 #9140]: #9091
-#9092 := (not #9091)
-#9154 := (or #9089 #9092)
-#7246 := (uf_6 uf_15 #7128)
-#7247 := (= uf_8 #7246)
-#9149 := (not #7247)
-#9150 := (iff #588 #9149)
-#9147 := (iff #585 #7247)
-#9145 := (iff #7247 #585)
-#9143 := (= #7246 #141)
-#9144 := [monotonicity #8036]: #9143
-#9146 := [monotonicity #9144]: #9145
-#9148 := [symm #9146]: #9147
-#9151 := [monotonicity #9148]: #9150
-#4127 := (or #4595 #588)
-#4220 := [def-axiom]: #4127
-#9142 := [unit-resolution #4220 #7389]: #588
-#9152 := [mp #9142 #9151]: #9149
-#4076 := (or #4677 #4421)
-#4131 := [def-axiom]: #4076
-#9153 := [unit-resolution #4131 #7304]: #4421
-#9097 := (or #4426 #7247 #9089 #9092)
-#9093 := (or #9092 #7247 #9089)
-#9098 := (or #4426 #9093)
-#9105 := (iff #9098 #9097)
-#9094 := (or #7247 #9089 #9092)
-#9100 := (or #4426 #9094)
-#9103 := (iff #9100 #9097)
-#9104 := [rewrite]: #9103
-#9101 := (iff #9098 #9100)
-#9095 := (iff #9093 #9094)
-#9096 := [rewrite]: #9095
-#9102 := [monotonicity #9096]: #9101
-#9106 := [trans #9102 #9104]: #9105
-#9099 := [quant-inst]: #9098
-#9107 := [mp #9099 #9106]: #9097
-#9155 := [unit-resolution #9107 #9153 #9152]: #9154
-#9156 := [unit-resolution #9155 #9141]: #9089
-#9157 := [hypothesis]: #8287
-#7755 := (uf_10 #7754)
-#7756 := (* -1::int #7755)
-#8520 := (+ #6394 #7756)
-#8524 := (>= #8520 0::int)
-#8517 := (= #6394 #7755)
-#9160 := (= #7755 #6394)
-#9158 := (= #7754 #6393)
-#9159 := [monotonicity #8036]: #9158
-#9161 := [monotonicity #9159]: #9160
-#9162 := [symm #9161]: #8517
-#9163 := (not #8517)
-#9164 := (or #9163 #8524)
-#9165 := [th-lemma]: #9164
-#9166 := [unit-resolution #9165 #9162]: #8524
-#8514 := (>= #7755 0::int)
-#7798 := (<= #7755 0::int)
-#7799 := (not #7798)
-#7804 := (or #7707 #7799)
+#1892 := [mp~ #371 #1853]: #366
+#4237 := [mp #1892 #4236]: #4232
+#3883 := (not #4232)
+#3893 := (or #3883 #3895)
+#3909 := (= uf_8 uf_8)
+#3896 := (iff #3895 #3909)
+#3874 := (or #3883 #3896)
+#3876 := (iff #3874 #3893)
+#3877 := (iff #3893 #3893)
+#3878 := [rewrite]: #3877
+#3891 := (iff #3896 #3895)
+#3899 := (iff #3895 true)
+#3890 := (iff #3899 #3895)
+#3882 := [rewrite]: #3890
+#3888 := (iff #3896 #3899)
+#3898 := (iff #3909 true)
+#3897 := [rewrite]: #3898
+#3889 := [monotonicity #3897]: #3888
+#3892 := [trans #3889 #3882]: #3891
+#3868 := [monotonicity #3892]: #3876
+#3869 := [trans #3868 #3878]: #3876
+#3875 := [quant-inst]: #3874
+#3879 := [mp #3875 #3869]: #3893
+#7677 := [unit-resolution #3879 #4237]: #3895
+#7678 := [symm #7677]: #4958
+#13577 := [monotonicity #10708 #7678]: #13576
+#13583 := [trans #13577 #13578]: #13582
+#13585 := [monotonicity #13583]: #13584
+#13596 := [symm #13585]: #13595
+#13580 := [hypothesis]: #2258
+#13597 := [trans #13580 #13596]: #10327
+#13450 := (not #10327)
+#13447 := (not #10333)
+#13451 := (or #13447 #13450 #10330)
+#13454 := [def-axiom]: #13451
+#13593 := [unit-resolution #13454 #13597 #13579]: #10330
+#13335 := (not #9519)
+#11136 := (uf_6 uf_15 #10448)
+#11137 := (= uf_8 #11136)
+#11138 := (not #11137)
+#11133 := (* -1::int #11132)
+#9701 := (uf_4 uf_14 #9695)
+#11134 := (+ #9701 #11133)
+#11135 := (>= #11134 0::int)
+#13999 := (not #11135)
+#9563 := (uf_1 uf_22 ?x63!14)
+#9564 := (uf_10 #9563)
+#9508 := (* -1::int #2261)
+#9581 := (+ #9508 #9564)
+#9582 := (+ #188 #9581)
+#9583 := (>= #9582 0::int)
+#12179 := (not #9583)
+#9565 := (* -1::int #9564)
+#9569 := (+ uf_9 #9565)
+#9570 := (<= #9569 0::int)
+#9588 := (or #9570 #9583)
+#9591 := (not #9588)
+#13188 := [hypothesis]: #4140
+#4061 := (or #4567 #4428)
+#4056 := [def-axiom]: #4061
+#10727 := [unit-resolution #4056 #10726]: #4428
+#13444 := (or #4433 #2866 #9591)
+#9566 := (+ #1455 #9565)
+#9567 := (+ #2261 #9566)
+#9568 := (<= #9567 0::int)
+#9571 := (or #9570 #9568)
+#9572 := (not #9571)
+#9573 := (or #2262 #9572)
+#11618 := (or #4433 #9573)
+#11883 := (iff #11618 #13444)
+#9594 := (or #2866 #9591)
+#11662 := (or #4433 #9594)
+#11855 := (iff #11662 #13444)
+#11841 := [rewrite]: #11855
+#11663 := (iff #11618 #11662)
+#9595 := (iff #9573 #9594)
+#9592 := (iff #9572 #9591)
+#9589 := (iff #9571 #9588)
+#9586 := (iff #9568 #9583)
+#9574 := (+ #2261 #9565)
+#9575 := (+ #1455 #9574)
+#9578 := (<= #9575 0::int)
+#9584 := (iff #9578 #9583)
+#9585 := [rewrite]: #9584
+#9579 := (iff #9568 #9578)
+#9576 := (= #9567 #9575)
+#9577 := [rewrite]: #9576
+#9580 := [monotonicity #9577]: #9579
+#9587 := [trans #9580 #9585]: #9586
+#9590 := [monotonicity #9587]: #9589
+#9593 := [monotonicity #9590]: #9592
+#9596 := [monotonicity #2868 #9593]: #9595
+#11801 := [monotonicity #9596]: #11663
+#11930 := [trans #11801 #11841]: #11883
+#11417 := [quant-inst]: #11618
+#12087 := [mp #11417 #11930]: #13444
+#13594 := [unit-resolution #12087 #10727 #13188]: #9591
+#12344 := (or #9588 #12179)
+#11143 := [def-axiom]: #12344
+#13599 := [unit-resolution #11143 #13594]: #12179
+#14000 := (or #13999 #9583)
+#13979 := [hypothesis]: #11135
+#13980 := [hypothesis]: #12179
+#10368 := (uf_10 #10367)
+#10372 := (* -1::int #10368)
+#11940 := (+ #9564 #10372)
+#11942 := (>= #11940 0::int)
+#9867 := (= #9564 #10368)
+#13987 := (= #9563 #10367)
+#13988 := [monotonicity #10706]: #13987
+#13989 := [monotonicity #13988]: #9867
+#13990 := (not #9867)
+#13991 := (or #13990 #11942)
+#13992 := [th-lemma]: #13991
+#13993 := [unit-resolution #13992 #13989]: #11942
+#11219 := (>= #10368 0::int)
+#10318 := (= #10368 0::int)
+#11983 := (not #10318)
+#11981 := (not #11219)
+#11982 := [hypothesis]: #11981
+#11984 := (or #11983 #11219)
+#11985 := [th-lemma]: #11984
+#11986 := [unit-resolution #11985 #11982]: #11983
+#10404 := (<= #10368 0::int)
+#11987 := (or #11219 #10404)
+#11988 := [th-lemma]: #11987
+#11989 := [unit-resolution #11988 #11982]: #10404
+#10405 := (not #10404)
+#10410 := (or #10319 #10405)
 #59 := (uf_10 #12)
 #409 := (<= #59 0::int)
 #410 := (not #409)
 #58 := (= #10 #11)
 #413 := (or #58 #410)
-#4342 := (forall (vars (?x22 T2) (?x23 T2)) (:pat #4294) #413)
+#4244 := (forall (vars (?x22 T2) (?x23 T2)) (:pat #4196) #413)
 #416 := (forall (vars (?x22 T2) (?x23 T2)) #413)
-#4345 := (iff #416 #4342)
-#4343 := (iff #413 #413)
-#4344 := [refl]: #4343
-#4346 := [quant-intro #4344]: #4345
-#1963 := (~ #416 #416)
-#1962 := (~ #413 #413)
-#2000 := [refl]: #1962
-#1964 := [nnf-pos #2000]: #1963
+#4247 := (iff #416 #4244)
+#4245 := (iff #413 #413)
+#4246 := [refl]: #4245
+#4248 := [quant-intro #4246]: #4247
+#1858 := (~ #416 #416)
+#1857 := (~ #413 #413)
+#1895 := [refl]: #1857
+#1859 := [nnf-pos #1895]: #1858
 #64 := (< 0::int #59)
 #63 := (not #58)
 #65 := (implies #63 #64)
@@ -5019,98 +4801,42 @@
 #420 := [trans #408 #418]: #419
 #402 := [asserted]: #66
 #421 := [mp #402 #420]: #416
-#2001 := [mp~ #421 #1964]: #416
-#4347 := [mp #2001 #4346]: #4342
-#7093 := (not #4342)
-#8435 := (or #7093 #7707 #7799)
-#7800 := (= #7128 ?x46!9)
-#7801 := (or #7800 #7799)
-#8436 := (or #7093 #7801)
-#8447 := (iff #8436 #8435)
-#8437 := (or #7093 #7804)
-#8443 := (iff #8437 #8435)
-#8444 := [rewrite]: #8443
-#8438 := (iff #8436 #8437)
-#7805 := (iff #7801 #7804)
-#7802 := (iff #7800 #7707)
-#7803 := [rewrite]: #7802
-#7806 := [monotonicity #7803]: #7805
-#8439 := [monotonicity #7806]: #8438
-#8448 := [trans #8439 #8444]: #8447
-#8434 := [quant-inst]: #8436
-#8482 := [mp #8434 #8448]: #8435
-#9167 := [unit-resolution #8482 #4347]: #7804
-#9168 := [unit-resolution #9167 #9130]: #7799
-#9169 := (or #8514 #7798)
-#9170 := [th-lemma]: #9169
-#9171 := [unit-resolution #9170 #9168]: #8514
-#9126 := (+ #2212 #9087)
-#9127 := (<= #9126 0::int)
-#9125 := (= #2212 #9086)
-#9172 := (= #9086 #2212)
-#9173 := [monotonicity #9134]: #9172
-#9174 := [symm #9173]: #9125
-#9175 := (not #9125)
-#9176 := (or #9175 #9127)
-#9177 := [th-lemma]: #9176
-#9178 := [unit-resolution #9177 #9174]: #9127
-#7162 := (* -1::int #7168)
-#7568 := (+ #144 #7162)
-#7572 := (>= #7568 0::int)
-#7233 := (= #144 #7168)
-#9179 := (= #7168 #144)
-#9180 := [monotonicity #8036]: #9179
-#9181 := [symm #9180]: #7233
-#9182 := (not #7233)
-#9183 := (or #9182 #7572)
-#9184 := [th-lemma]: #9183
-#9185 := [unit-resolution #9184 #9181]: #7572
-#9186 := [th-lemma #9185 #9178 #9171 #9166 #9157 #9156]: false
-#9188 := [lemma #9186]: #9187
-#8624 := [unit-resolution #9188 #8629 #8627]: #7707
-#8630 := [trans #8624 #8036]: #6559
-#8634 := [monotonicity #8630]: #8633
-#8694 := [symm #8634]: #8693
-#8695 := (= #2211 #144)
-#5856 := (uf_18 uf_16)
-#8641 := (= #5856 #144)
-#5857 := (= #144 #5856)
-#5844 := (uf_1 uf_16 uf_16)
-#5845 := (uf_10 #5844)
-#5864 := (>= #5845 0::int)
-#5848 := (* -1::int #5845)
-#5849 := (+ uf_9 #5848)
-#5850 := (<= #5849 0::int)
-#5872 := (or #5850 #5864)
-#7965 := (uf_1 #7128 #7128)
-#7966 := (uf_10 #7965)
-#7967 := (* -1::int #7966)
-#8029 := (+ #5845 #7967)
-#8033 := (>= #8029 0::int)
-#8028 := (= #5845 #7966)
-#8039 := (= #5844 #7965)
-#8037 := (= #7965 #5844)
-#8038 := [monotonicity #8036 #8036]: #8037
-#8040 := [symm #8038]: #8039
-#8041 := [monotonicity #8040]: #8028
-#8042 := (not #8028)
-#8043 := (or #8042 #8033)
-#8044 := [th-lemma]: #8043
-#8045 := [unit-resolution #8044 #8041]: #8033
-#7976 := (>= #7966 0::int)
-#7998 := (= #7966 0::int)
+#1896 := [mp~ #421 #1859]: #416
+#4249 := [mp #1896 #4248]: #4244
+#10302 := (not #4244)
+#11162 := (or #10302 #10319 #10405)
+#10406 := (= #9695 ?x63!14)
+#10407 := (or #10406 #10405)
+#11163 := (or #10302 #10407)
+#11205 := (iff #11163 #11162)
+#11188 := (or #10302 #10410)
+#11203 := (iff #11188 #11162)
+#11204 := [rewrite]: #11203
+#11189 := (iff #11163 #11188)
+#10411 := (iff #10407 #10410)
+#10408 := (iff #10406 #10319)
+#10409 := [rewrite]: #10408
+#10412 := [monotonicity #10409]: #10411
+#11202 := [monotonicity #10412]: #11189
+#11206 := [trans #11202 #11204]: #11205
+#11164 := [quant-inst]: #11163
+#11201 := [mp #11164 #11206]: #11162
+#11990 := [unit-resolution #11201 #4249]: #10410
+#11991 := [unit-resolution #11990 #11989]: #10319
+#10346 := (not #10319)
+#10431 := (or #10318 #10346)
 #60 := (= #59 0::int)
 #393 := (or #63 #60)
-#4336 := (forall (vars (?x20 T2) (?x21 T2)) (:pat #4294) #393)
+#4238 := (forall (vars (?x20 T2) (?x21 T2)) (:pat #4196) #393)
 #396 := (forall (vars (?x20 T2) (?x21 T2)) #393)
-#4339 := (iff #396 #4336)
-#4337 := (iff #393 #393)
-#4338 := [refl]: #4337
-#4340 := [quant-intro #4338]: #4339
-#1959 := (~ #396 #396)
-#1998 := (~ #393 #393)
-#1999 := [refl]: #1998
-#1960 := [nnf-pos #1999]: #1959
+#4241 := (iff #396 #4238)
+#4239 := (iff #393 #393)
+#4240 := [refl]: #4239
+#4242 := [quant-intro #4240]: #4241
+#1854 := (~ #396 #396)
+#1893 := (~ #393 #393)
+#1894 := [refl]: #1893
+#1855 := [nnf-pos #1894]: #1854
 #61 := (implies #58 #60)
 #62 := (forall (vars (?x20 T2) (?x21 T2)) #61)
 #399 := (iff #62 #396)
@@ -5137,1945 +4863,2267 @@
 #400 := [trans #390 #398]: #399
 #370 := [asserted]: #62
 #401 := [mp #370 #400]: #396
-#1961 := [mp~ #401 #1960]: #396
-#4341 := [mp #1961 #4340]: #4336
-#6863 := (not #4336)
-#8012 := (or #6863 #7998)
-#7248 := (= #7128 #7128)
-#7999 := (not #7248)
-#8000 := (or #7999 #7998)
-#8013 := (or #6863 #8000)
-#8015 := (iff #8013 #8012)
-#8017 := (iff #8012 #8012)
-#8018 := [rewrite]: #8017
-#8010 := (iff #8000 #7998)
-#8005 := (or false #7998)
-#8008 := (iff #8005 #7998)
-#8009 := [rewrite]: #8008
-#8006 := (iff #8000 #8005)
-#8003 := (iff #7999 false)
-#8001 := (iff #7999 #6849)
-#7256 := (iff #7248 true)
-#7257 := [rewrite]: #7256
-#8002 := [monotonicity #7257]: #8001
-#8004 := [trans #8002 #6853]: #8003
-#8007 := [monotonicity #8004]: #8006
-#8011 := [trans #8007 #8009]: #8010
-#8016 := [monotonicity #8011]: #8015
-#8019 := [trans #8016 #8018]: #8015
-#8014 := [quant-inst]: #8013
-#8020 := [mp #8014 #8019]: #8012
-#8046 := [unit-resolution #8020 #4341]: #7998
-#8047 := (not #7998)
-#8048 := (or #8047 #7976)
-#8049 := [th-lemma]: #8048
-#8050 := [unit-resolution #8049 #8046]: #7976
-#6974 := (not #5864)
-#8051 := [hypothesis]: #6974
-#8052 := [th-lemma #8051 #8050 #8045]: false
-#8053 := [lemma #8052]: #5864
-#6975 := (or #5872 #6974)
-#6976 := [def-axiom]: #6975
-#8573 := [unit-resolution #6976 #8053]: #5872
-#5877 := (not #5872)
-#5880 := (or #5857 #5877)
-#6955 := (or #4461 #5857 #5877)
-#5851 := (+ #1449 #5848)
-#5852 := (+ #144 #5851)
-#5853 := (<= #5852 0::int)
-#5854 := (or #5853 #5850)
-#5855 := (not #5854)
-#5858 := (or #5857 #5855)
-#6956 := (or #4461 #5858)
-#6967 := (iff #6956 #6955)
-#6962 := (or #4461 #5880)
-#6965 := (iff #6962 #6955)
-#6966 := [rewrite]: #6965
-#6963 := (iff #6956 #6962)
-#5881 := (iff #5858 #5880)
-#5878 := (iff #5855 #5877)
-#5875 := (iff #5854 #5872)
-#5869 := (or #5864 #5850)
-#5873 := (iff #5869 #5872)
-#5874 := [rewrite]: #5873
-#5870 := (iff #5854 #5869)
-#5867 := (iff #5853 #5864)
-#5861 := (<= #5848 0::int)
-#5865 := (iff #5861 #5864)
-#5866 := [rewrite]: #5865
-#5862 := (iff #5853 #5861)
-#5859 := (= #5852 #5848)
-#5860 := [rewrite]: #5859
-#5863 := [monotonicity #5860]: #5862
-#5868 := [trans #5863 #5866]: #5867
-#5871 := [monotonicity #5868]: #5870
-#5876 := [trans #5871 #5874]: #5875
-#5879 := [monotonicity #5876]: #5878
-#5882 := [monotonicity #5879]: #5881
-#6964 := [monotonicity #5882]: #6963
-#6968 := [trans #6964 #6966]: #6967
-#6961 := [quant-inst]: #6956
-#6969 := [mp #6961 #6968]: #6955
-#8575 := [unit-resolution #6969 #8574]: #5880
-#8570 := [unit-resolution #8575 #8573]: #5857
-#8642 := [symm #8570]: #8641
-#8631 := (= #2211 #5856)
-#8632 := [monotonicity #8630]: #8631
-#8696 := [trans #8632 #8642]: #8695
-#8697 := [trans #8696 #8694]: #2825
-#8698 := [unit-resolution #8572 #8697]: false
-#8699 := [lemma #8698]: #2831
-#4203 := (or #4595 #4589)
-#4204 := [def-axiom]: #4203
-#9435 := [unit-resolution #4204 #7389]: #4589
-#4209 := (or #4595 #4464)
-#4214 := [def-axiom]: #4209
-#7390 := [unit-resolution #4214 #7389]: #4464
-#6363 := (or #2817 #4469 #4461)
-#6139 := (uf_1 uf_16 ?x45!8)
-#6140 := (uf_10 #6139)
-#6165 := (+ #2191 #6140)
-#6166 := (+ #144 #6165)
-#6192 := (>= #6166 0::int)
-#6169 := (= #6166 0::int)
-#6144 := (* -1::int #6140)
-#6145 := (+ uf_9 #6144)
-#6146 := (<= #6145 0::int)
-#6226 := (not #6146)
-#6158 := (+ #2815 #6140)
-#6159 := (+ #144 #6158)
-#6160 := (>= #6159 0::int)
-#6203 := (or #6146 #6160)
-#6208 := (not #6203)
-#6197 := (= #2190 #2192)
-#6342 := (not #6197)
-#6341 := [hypothesis]: #2822
-#6345 := (or #6342 #2817)
-#6346 := [th-lemma]: #6345
-#6347 := [unit-resolution #6346 #6341]: #6342
-#6348 := [hypothesis]: #4456
-#6214 := (or #4461 #6197 #6208)
-#6147 := (+ #1449 #6144)
-#6148 := (+ #2192 #6147)
-#6149 := (<= #6148 0::int)
-#6193 := (or #6149 #6146)
-#6194 := (not #6193)
-#6195 := (= #2192 #2190)
-#6196 := (or #6195 #6194)
-#6215 := (or #4461 #6196)
-#6222 := (iff #6215 #6214)
-#6211 := (or #6197 #6208)
-#6217 := (or #4461 #6211)
-#6220 := (iff #6217 #6214)
-#6221 := [rewrite]: #6220
-#6218 := (iff #6215 #6217)
-#6212 := (iff #6196 #6211)
-#6209 := (iff #6194 #6208)
-#6206 := (iff #6193 #6203)
-#6200 := (or #6160 #6146)
-#6204 := (iff #6200 #6203)
-#6205 := [rewrite]: #6204
-#6201 := (iff #6193 #6200)
-#6163 := (iff #6149 #6160)
-#6151 := (+ #2192 #6144)
-#6152 := (+ #1449 #6151)
-#6155 := (<= #6152 0::int)
-#6161 := (iff #6155 #6160)
-#6162 := [rewrite]: #6161
-#6156 := (iff #6149 #6155)
-#6153 := (= #6148 #6152)
-#6154 := [rewrite]: #6153
-#6157 := [monotonicity #6154]: #6156
-#6164 := [trans #6157 #6162]: #6163
-#6202 := [monotonicity #6164]: #6201
-#6207 := [trans #6202 #6205]: #6206
-#6210 := [monotonicity #6207]: #6209
-#6198 := (iff #6195 #6197)
-#6199 := [rewrite]: #6198
-#6213 := [monotonicity #6199 #6210]: #6212
-#6219 := [monotonicity #6213]: #6218
-#6223 := [trans #6219 #6221]: #6222
-#6216 := [quant-inst]: #6215
-#6224 := [mp #6216 #6223]: #6214
-#6349 := [unit-resolution #6224 #6348 #6347]: #6208
-#6227 := (or #6203 #6226)
-#6228 := [def-axiom]: #6227
-#6350 := [unit-resolution #6228 #6349]: #6226
-#6229 := (not #6160)
-#6230 := (or #6203 #6229)
-#6231 := [def-axiom]: #6230
-#6351 := [unit-resolution #6231 #6349]: #6229
-#6175 := (or #6146 #6160 #6169)
-#6352 := [hypothesis]: #4464
-#6180 := (or #4469 #6146 #6160 #6169)
-#6141 := (+ #6140 #2191)
-#6142 := (+ #144 #6141)
-#6143 := (= #6142 0::int)
-#6150 := (or #6149 #6146 #6143)
-#6181 := (or #4469 #6150)
-#6188 := (iff #6181 #6180)
-#6183 := (or #4469 #6175)
-#6186 := (iff #6183 #6180)
-#6187 := [rewrite]: #6186
-#6184 := (iff #6181 #6183)
-#6178 := (iff #6150 #6175)
-#6172 := (or #6160 #6146 #6169)
-#6176 := (iff #6172 #6175)
-#6177 := [rewrite]: #6176
-#6173 := (iff #6150 #6172)
-#6170 := (iff #6143 #6169)
-#6167 := (= #6142 #6166)
-#6168 := [rewrite]: #6167
-#6171 := [monotonicity #6168]: #6170
-#6174 := [monotonicity #6164 #6171]: #6173
-#6179 := [trans #6174 #6177]: #6178
-#6185 := [monotonicity #6179]: #6184
-#6189 := [trans #6185 #6187]: #6188
-#6182 := [quant-inst]: #6181
-#6190 := [mp #6182 #6189]: #6180
-#6353 := [unit-resolution #6190 #6352]: #6175
-#6354 := [unit-resolution #6353 #6351 #6350]: #6169
-#6355 := (not #6169)
-#6356 := (or #6355 #6192)
-#6357 := [th-lemma]: #6356
-#6358 := [unit-resolution #6357 #6354]: #6192
-#6225 := (>= #2816 0::int)
-#6359 := (or #6225 #2817)
-#6360 := [th-lemma]: #6359
-#6361 := [unit-resolution #6360 #6341]: #6225
-#6362 := [th-lemma #6361 #6351 #6358]: false
-#6364 := [lemma #6362]: #6363
-#9436 := [unit-resolution #6364 #7390 #8574]: #2817
-#4123 := (or #4592 #2822 #4586)
-#4124 := [def-axiom]: #4123
-#9437 := [unit-resolution #4124 #9436 #9435]: #4586
-#4215 := (or #4583 #4577)
-#4216 := [def-axiom]: #4215
-#9438 := [unit-resolution #4216 #9437]: #4577
-#4111 := (or #4580 #2836 #4574)
-#4070 := [def-axiom]: #4111
-#9439 := [unit-resolution #4070 #9438]: #4577
-#9422 := [unit-resolution #9439 #8699]: #4574
-#4068 := (or #4571 #4481)
-#4069 := [def-axiom]: #4068
-#9423 := [unit-resolution #4069 #9422]: #4481
-#10877 := (or #4486 #9846 #15367)
-#15363 := (= #15362 #2306)
-#15366 := (or #15363 #9846)
-#14529 := (or #4486 #15366)
-#14658 := (iff #14529 #10877)
-#14681 := (or #4486 #15373)
-#14554 := (iff #14681 #10877)
-#14690 := [rewrite]: #14554
-#12540 := (iff #14529 #14681)
-#15376 := (iff #15366 #15373)
-#15370 := (or #15367 #9846)
-#15374 := (iff #15370 #15373)
-#15375 := [rewrite]: #15374
-#15371 := (iff #15366 #15370)
-#15368 := (iff #15363 #15367)
-#15369 := [rewrite]: #15368
-#15372 := [monotonicity #15369]: #15371
-#15377 := [trans #15372 #15375]: #15376
-#14677 := [monotonicity #15377]: #12540
-#14520 := [trans #14677 #14690]: #14658
-#14692 := [quant-inst]: #14529
-#10887 := [mp #14692 #14520]: #10877
-#32978 := [unit-resolution #10887 #9423]: #15373
-#32979 := [unit-resolution #32978 #32950]: #9846
-#32981 := [mp #32979 #32971]: #30313
-#18779 := (= ?x52!15 #7128)
-#32989 := (iff #18779 #32602)
-#32770 := (iff #32602 #18779)
-#25219 := (= #7128 ?x52!15)
-#25223 := (iff #25219 #18779)
-#29787 := [commutativity]: #25223
-#32974 := (iff #32602 #25219)
-#32975 := [monotonicity #32984]: #32974
-#32986 := [trans #32975 #29787]: #32770
-#32991 := [symm #32986]: #32989
-#15413 := (uf_1 uf_16 ?x52!15)
-#15414 := (uf_10 #15413)
-#15439 := (+ #2307 #15414)
-#15440 := (+ #144 #15439)
-#15443 := (= #15440 0::int)
-#15432 := (+ #15397 #15414)
-#15433 := (+ #144 #15432)
-#15434 := (>= #15433 0::int)
-#15418 := (* -1::int #15414)
-#15419 := (+ uf_9 #15418)
-#15420 := (<= #15419 0::int)
-#15473 := (or #15420 #15434)
-#15478 := (not #15473)
-#15481 := (or #15367 #15478)
-#14730 := (or #4461 #15367 #15478)
-#15421 := (+ #1449 #15418)
-#15422 := (+ #15362 #15421)
-#15423 := (<= #15422 0::int)
-#15467 := (or #15423 #15420)
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-#15469 := (or #15363 #15468)
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-#14986 := (iff #14738 #14730)
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-#14832 := (iff #14738 #14556)
-#15482 := (iff #15469 #15481)
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-#15476 := (iff #15467 #15473)
-#15470 := (or #15434 #15420)
-#15474 := (iff #15470 #15473)
-#15475 := [rewrite]: #15474
-#15471 := (iff #15467 #15470)
-#15437 := (iff #15423 #15434)
-#15425 := (+ #15362 #15418)
-#15426 := (+ #1449 #15425)
-#15429 := (<= #15426 0::int)
-#15435 := (iff #15429 #15434)
-#15436 := [rewrite]: #15435
-#15430 := (iff #15423 #15429)
-#15427 := (= #15422 #15426)
-#15428 := [rewrite]: #15427
-#15431 := [monotonicity #15428]: #15430
-#15438 := [trans #15431 #15436]: #15437
-#15472 := [monotonicity #15438]: #15471
-#15477 := [trans #15472 #15475]: #15476
-#15480 := [monotonicity #15477]: #15479
-#15483 := [monotonicity #15369 #15480]: #15482
-#15031 := [monotonicity #15483]: #14832
-#14985 := [trans #15031 #15034]: #14986
-#12501 := [quant-inst]: #14738
-#15678 := [mp #12501 #14985]: #14730
-#32969 := [unit-resolution #15678 #8574]: #15481
-#32952 := [unit-resolution #32969 #32950]: #15478
-#29629 := (or #15473 #15443)
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-#29623 := [hypothesis]: #25301
-#15187 := (not #15420)
-#29624 := [hypothesis]: #15478
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-#8899 := (not #15434)
-#15050 := (or #15473 #8899)
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-#29626 := [unit-resolution #15028 #29624]: #8899
-#15449 := (or #15420 #15434 #15443)
-#12503 := (or #4469 #15420 #15434 #15443)
-#15415 := (+ #15414 #2307)
-#15416 := (+ #144 #15415)
-#15417 := (= #15416 0::int)
-#15424 := (or #15423 #15420 #15417)
-#12502 := (or #4469 #15424)
-#14824 := (iff #12502 #12503)
-#14693 := (or #4469 #15449)
-#14698 := (iff #14693 #12503)
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-#14675 := (iff #12502 #14693)
-#15452 := (iff #15424 #15449)
-#15446 := (or #15434 #15420 #15443)
-#15450 := (iff #15446 #15449)
-#15451 := [rewrite]: #15450
-#15447 := (iff #15424 #15446)
-#15444 := (iff #15417 #15443)
-#15441 := (= #15416 #15440)
-#15442 := [rewrite]: #15441
-#15445 := [monotonicity #15442]: #15444
-#15448 := [monotonicity #15438 #15445]: #15447
-#15453 := [trans #15448 #15451]: #15452
-#14648 := [monotonicity #15453]: #14675
-#14687 := [trans #14648 #14734]: #14824
-#14736 := [quant-inst]: #12502
-#13488 := [mp #14736 #14687]: #12503
-#29627 := [unit-resolution #13488 #7390]: #15449
-#29628 := [unit-resolution #29627 #29626 #29625 #29623]: false
-#29630 := [lemma #29628]: #29629
-#32972 := [unit-resolution #29630 #32952]: #15443
-#29799 := (or #25301 #18779)
-#7126 := (uf_3 #6008)
-#15598 := (uf_1 #7126 ?x52!15)
-#27533 := (uf_3 #15598)
-#28710 := (uf_1 #7128 #27533)
-#28711 := (uf_10 #28710)
-#28714 := (* -1::int #28711)
-#28814 := (+ #15414 #28714)
-#28506 := (>= #28814 0::int)
-#28505 := (= #15414 #28711)
-#29767 := (= #28711 #15414)
-#29765 := (= #28710 #15413)
-#29763 := (= #27533 ?x52!15)
-#27534 := (= ?x52!15 #27533)
-#27563 := (or #5378 #27534)
-#27564 := [quant-inst]: #27563
-#29762 := [unit-resolution #27564 #4300]: #27534
-#29764 := [symm #29762]: #29763
-#29766 := [monotonicity #8036 #29764]: #29765
-#29768 := [monotonicity #29766]: #29767
-#29769 := [symm #29768]: #28505
-#29770 := (not #28505)
-#29771 := (or #29770 #28506)
-#29772 := [th-lemma]: #29771
-#29773 := [unit-resolution #29772 #29769]: #28506
-#5902 := (* -1::int #5856)
-#6232 := (+ #144 #5902)
-#6233 := (>= #6232 0::int)
-#4218 := (or #4583 #4472)
-#4120 := [def-axiom]: #4218
-#14110 := [unit-resolution #4120 #9437]: #4472
-#6959 := (or #4477 #6233)
-#6960 := [quant-inst]: #6959
-#12934 := [unit-resolution #6960 #14110]: #6233
-#7167 := (uf_18 #7128)
-#8141 := (* -1::int #7167)
-#10187 := (+ #5856 #8141)
-#7462 := (>= #10187 0::int)
-#10181 := (= #5856 #7167)
-#14102 := (= #7167 #5856)
-#14103 := [monotonicity #8036]: #14102
-#14104 := [symm #14103]: #10181
-#14105 := (not #10181)
-#25236 := (or #14105 #7462)
-#25243 := [th-lemma]: #25236
-#25235 := [unit-resolution #25243 #14104]: #7462
-#14406 := (<= #15440 0::int)
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-#25302 := (or #25301 #14406)
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-#25304 := [unit-resolution #25303 #25300]: #14406
-#15344 := (+ #2306 #8141)
-#15518 := (<= #15344 0::int)
-#7164 := (uf_6 uf_17 #7128)
-#7165 := (= uf_8 #7164)
-#25365 := (= #5319 #7164)
-#25361 := (= #7164 #5319)
-#25364 := [monotonicity #8578 #8036]: #25361
-#25366 := [symm #25364]: #25365
-#25367 := [trans #8579 #25366]: #7165
-#15503 := (uf_1 #7128 ?x52!15)
-#15504 := (uf_10 #15503)
-#15530 := (* -1::int #15504)
-#15531 := (+ #8141 #15530)
-#15532 := (+ #2306 #15531)
-#15533 := (= #15532 0::int)
-#25324 := (or #25301 #15533)
-#15538 := (not #15533)
-#25256 := [hypothesis]: #15538
-#14445 := (>= #15532 0::int)
-#14444 := (+ #15414 #15530)
-#14494 := (>= #14444 0::int)
-#14488 := (= #15414 #15504)
-#25275 := (= #15504 #15414)
-#25257 := (= #15503 #15413)
-#25274 := [monotonicity #8036]: #25257
-#25270 := [monotonicity #25274]: #25275
-#25276 := [symm #25270]: #14488
-#25277 := (not #14488)
-#25278 := (or #25277 #14494)
-#25279 := [th-lemma]: #25278
-#25280 := [unit-resolution #25279 #25276]: #14494
-#25306 := (not #14406)
-#25305 := (not #14494)
-#13409 := (not #6233)
-#25299 := (not #7462)
-#25307 := (or #14445 #25299 #13409 #25305 #25306)
-#25308 := [th-lemma]: #25307
-#25309 := [unit-resolution #25308 #25304 #25235 #12934 #25280]: #14445
-#14391 := (<= #15532 0::int)
-#14441 := (<= #14444 0::int)
-#25316 := (or #25277 #14441)
-#25317 := [th-lemma]: #25316
-#25315 := [unit-resolution #25317 #25276]: #14441
-#6970 := (<= #6232 0::int)
-#14098 := (not #5857)
-#14099 := (or #14098 #6970)
-#14100 := [th-lemma]: #14099
-#14101 := [unit-resolution #14100 #8570]: #6970
-#10188 := (<= #10187 0::int)
-#14106 := (or #14105 #10188)
-#14107 := [th-lemma]: #14106
-#14108 := [unit-resolution #14107 #14104]: #10188
-#14435 := (>= #15440 0::int)
-#25318 := (or #25301 #14435)
-#25319 := [th-lemma]: #25318
-#25320 := [unit-resolution #25319 #25300]: #14435
-#25333 := (not #14435)
-#25332 := (not #14441)
-#12642 := (not #6970)
-#25331 := (not #10188)
-#25334 := (or #14391 #25331 #12642 #25332 #25333)
-#25335 := [th-lemma]: #25334
-#25336 := [unit-resolution #25335 #25320 #14108 #14101 #25315]: #14391
-#25314 := (not #14445)
-#25337 := (not #14391)
-#25321 := (or #15533 #25337 #25314)
-#25322 := [th-lemma]: #25321
-#25323 := [unit-resolution #25322 #25336 #25309 #25256]: false
-#25313 := [lemma #25323]: #25324
-#29774 := [unit-resolution #25313 #25300]: #15533
-#7166 := (not #7165)
-#15541 := (or #7166 #15518 #15538)
-#6002 := (+ #108 #1449)
-#7864 := (<= #6002 0::int)
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-#5945 := (= uf_16 uf_11)
-#5947 := (= uf_11 uf_16)
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-#5954 := (= #5951 0::int)
-#5957 := (not #5954)
-#5940 := (uf_6 uf_15 #5928)
-#5941 := (= uf_8 #5940)
-#5942 := (not #5941)
-#5938 := (+ #144 #5933)
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-#5963 := (or #5939 #5942 #5957)
-#6003 := (>= #6002 0::int)
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-#9672 := (not #6003)
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-#7466 := (>= #5932 0::int)
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-#8264 := [lemma #8263]: #7466
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-#5512 := (not #4050)
-#17980 := (or #9672 #5512 #8252 #5939)
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-#7005 := (not #5939)
-#7006 := (or #5963 #7005)
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-#5943 := (or #5942 #5939 #5937)
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-#5955 := (iff #5936 #5954)
-#5952 := (= #5935 #5951)
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-#5956 := [monotonicity #5953]: #5955
-#5959 := [monotonicity #5956]: #5958
-#5962 := [monotonicity #5959]: #5961
-#5967 := [trans #5962 #5965]: #5966
-#5970 := [monotonicity #5967]: #5969
-#5948 := (iff #5945 #5947)
-#5949 := [rewrite]: #5948
-#5973 := [monotonicity #5949 #5970]: #5972
-#5978 := [trans #5973 #5976]: #5977
-#6997 := [monotonicity #5978]: #6996
-#7001 := [trans #6997 #6999]: #7000
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-#7002 := [mp #6994 #7001]: #6992
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-#6594 := [rewrite]: #6593
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-#6589 := [monotonicity #6561]: #6587
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-#6383 := (iff #6328 #6344)
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-#9353 := [unit-resolution #8321 #7390]: #6607
-#9354 := [unit-resolution #9353 #9352 #9346]: #6601
-#9355 := (not #6601)
-#9356 := (or #9355 #8322)
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-#9307 := (+ #6555 #8908)
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-#9374 := (= #8901 #6555)
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-#9287 := (>= #8901 0::int)
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-#8373 := (= ?x47!10 #7128)
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-#6710 := (uf_6 uf_15 ?x47!10)
-#6711 := (= uf_8 #6710)
-#8599 := (ite #8373 #5314 #6711)
-#8729 := (not #8599)
-#7658 := (uf_6 #7203 ?x47!10)
-#8338 := (= uf_8 #7658)
-#8700 := (iff #8338 #8599)
-#8684 := (or #7026 #8700)
-#7640 := (ite #8373 #6089 #6711)
-#7653 := (= #7658 uf_8)
-#8337 := (iff #7653 #7640)
-#8723 := (or #7026 #8337)
-#8725 := (iff #8723 #8684)
-#8726 := (iff #8684 #8684)
-#8722 := [rewrite]: #8726
-#8682 := (iff #8337 #8700)
-#8326 := (iff #7640 #8599)
-#8600 := [monotonicity #6102]: #8326
-#8410 := (iff #7653 #8338)
-#8521 := [rewrite]: #8410
-#8683 := [monotonicity #8521 #8600]: #8682
-#8720 := [monotonicity #8683]: #8725
-#8727 := [trans #8720 #8722]: #8725
-#8724 := [quant-inst]: #8723
-#8728 := [mp #8724 #8727]: #8684
-#9434 := [unit-resolution #8728 #4320]: #8700
-#8895 := (not #8338)
-#6323 := (uf_6 uf_17 ?x47!10)
-#6325 := (= uf_8 #6323)
-#6326 := (not #6325)
-#9431 := (iff #6326 #8895)
-#9429 := (iff #6325 #8338)
-#9427 := (iff #8338 #6325)
-#9426 := (= #7658 #6323)
-#9421 := [monotonicity #8591]: #9426
-#9428 := [monotonicity #9421]: #9427
-#9430 := [symm #9428]: #9429
-#9460 := [monotonicity #9430]: #9431
-#6382 := (or #6326 #6344)
-#8268 := (or #4486 #6326 #6344)
-#6343 := (or #6328 #6326)
-#8269 := (or #4486 #6343)
-#8297 := (iff #8269 #8268)
-#8294 := (or #4486 #6382)
-#8296 := (iff #8294 #8268)
-#8283 := [rewrite]: #8296
-#8284 := (iff #8269 #8294)
-#6390 := (iff #6343 #6382)
-#6385 := (or #6344 #6326)
-#6388 := (iff #6385 #6382)
-#6389 := [rewrite]: #6388
-#6386 := (iff #6343 #6385)
-#6387 := [monotonicity #6384]: #6386
-#6391 := [trans #6387 #6389]: #6390
-#8295 := [monotonicity #6391]: #8284
-#8298 := [trans #8295 #8283]: #8297
-#8293 := [quant-inst]: #8269
-#8299 := [mp #8293 #8298]: #8268
-#9424 := [unit-resolution #8299 #9423]: #6382
-#9425 := [unit-resolution #9424 #9349]: #6326
-#9461 := [mp #9425 #9460]: #8895
-#8917 := (not #8700)
-#8920 := (or #8917 #8338 #8729)
-#8894 := [def-axiom]: #8920
-#9462 := [unit-resolution #8894 #9461 #9434]: #8729
-#9463 := (or #8599 #8730)
-#7040 := (not #5314)
-#8907 := (or #8599 #8730 #7040)
-#8910 := [def-axiom]: #8907
-#9464 := [unit-resolution #8910 #8579]: #9463
-#9459 := [unit-resolution #9464 #9462]: #8730
-#9206 := (or #8373 #9207)
-#9214 := (or #7093 #8373 #9207)
-#9208 := (= #7128 ?x47!10)
-#9209 := (or #9208 #9207)
-#9215 := (or #7093 #9209)
-#9241 := (iff #9215 #9214)
-#9242 := (or #7093 #9206)
-#9245 := (iff #9242 #9214)
-#9246 := [rewrite]: #9245
-#9243 := (iff #9215 #9242)
-#9212 := (iff #9209 #9206)
-#9210 := (iff #9208 #8373)
-#9211 := [rewrite]: #9210
-#9213 := [monotonicity #9211]: #9212
-#9244 := [monotonicity #9213]: #9243
-#9247 := [trans #9244 #9246]: #9241
-#9216 := [quant-inst]: #9215
-#9248 := [mp #9216 #9247]: #9214
-#9465 := [unit-resolution #9248 #4347]: #9206
-#9466 := [unit-resolution #9465 #9459]: #9207
-#9467 := (or #9287 #9080)
-#9468 := [th-lemma]: #9467
-#9469 := [unit-resolution #9468 #9466]: #9287
-#9538 := [th-lemma #9321 #9469 #9433 #9366 #9369 #9368]: false
-#9541 := [lemma #9538]: #9540
-#29775 := [unit-resolution #9541 #12311]: #2234
-#4222 := (or #4571 #4565)
-#4223 := [def-axiom]: #4222
-#25326 := [unit-resolution #4223 #9422]: #4565
-#25357 := (or #4568 #4562)
-#6056 := (= #108 #172)
-#25354 := (iff #6056 #173)
-#25353 := [commutativity]: #1490
-#25351 := (iff #6056 #645)
-#25352 := [monotonicity #7307]: #25351
-#25355 := [trans #25352 #25353]: #25354
-#6015 := (uf_10 #6008)
-#6019 := (* -1::int #6015)
-#6022 := (+ #1449 #6019)
-#6023 := (+ #108 #6022)
-#6024 := (<= #6023 0::int)
-#6020 := (+ uf_9 #6019)
-#6021 := (<= #6020 0::int)
-#6058 := (or #6021 #6024)
-#7125 := (>= #6015 0::int)
-#7105 := (= #6015 0::int)
-#7087 := (<= #6015 0::int)
-#4062 := (not #6024)
-#7293 := [hypothesis]: #4062
-#7312 := (or #7087 #6024)
-#7088 := (not #7087)
-#7292 := [hypothesis]: #7088
-#6001 := (>= #144 0::int)
-#7016 := (or #4409 #6001)
-#7017 := [quant-inst]: #7016
-#7306 := [unit-resolution #7017 #7305]: #6001
-#7311 := [th-lemma #7310 #7306 #7293 #7292]: false
-#7313 := [lemma #7311]: #7312
-#7186 := [unit-resolution #7313 #7293]: #7087
-#7090 := (or #5947 #7088)
-#7094 := (or #7093 #5947 #7088)
-#7089 := (or #5945 #7088)
-#7095 := (or #7093 #7089)
-#7102 := (iff #7095 #7094)
-#7097 := (or #7093 #7090)
-#7100 := (iff #7097 #7094)
-#7101 := [rewrite]: #7100
-#7098 := (iff #7095 #7097)
-#7091 := (iff #7089 #7090)
-#7092 := [monotonicity #5949]: #7091
-#7099 := [monotonicity #7092]: #7098
-#7103 := [trans #7099 #7101]: #7102
-#7096 := [quant-inst]: #7095
-#7104 := [mp #7096 #7103]: #7094
-#7187 := [unit-resolution #7104 #4347]: #7090
-#7182 := [unit-resolution #7187 #7186]: #5947
-#7108 := (not #5947)
-#7111 := (or #7108 #7105)
-#7114 := (or #6863 #7108 #7105)
-#7106 := (not #5945)
-#7107 := (or #7106 #7105)
-#7115 := (or #6863 #7107)
-#7122 := (iff #7115 #7114)
-#7117 := (or #6863 #7111)
-#7120 := (iff #7117 #7114)
-#7121 := [rewrite]: #7120
-#7118 := (iff #7115 #7117)
-#7112 := (iff #7107 #7111)
-#7109 := (iff #7106 #7108)
-#7110 := [monotonicity #5949]: #7109
-#7113 := [monotonicity #7110]: #7112
-#7119 := [monotonicity #7113]: #7118
-#7123 := [trans #7119 #7121]: #7122
-#7116 := [quant-inst]: #7115
-#7124 := [mp #7116 #7123]: #7114
-#7188 := [unit-resolution #7124 #4341]: #7111
-#7189 := [unit-resolution #7188 #7182]: #7105
-#7190 := (not #7105)
-#7191 := (or #7190 #7125)
-#7192 := [th-lemma]: #7191
-#7196 := [unit-resolution #7192 #7189]: #7125
-#7197 := [th-lemma #7310 #7306 #7293 #7196]: false
-#7195 := [lemma #7197]: #6024
-#5757 := (or #6058 #4062)
-#5573 := [def-axiom]: #5757
-#25327 := [unit-resolution #5573 #7195]: #6058
-#6061 := (not #6058)
-#6064 := (or #6056 #6061)
-#6681 := (or #4461 #6056 #6061)
-#6054 := (or #6024 #6021)
-#6055 := (not #6054)
-#6057 := (or #6056 #6055)
-#6682 := (or #4461 #6057)
-#6844 := (iff #6682 #6681)
-#6138 := (or #4461 #6064)
-#6392 := (iff #6138 #6681)
-#6683 := [rewrite]: #6392
-#6118 := (iff #6682 #6138)
-#6065 := (iff #6057 #6064)
-#6062 := (iff #6055 #6061)
-#6059 := (iff #6054 #6058)
-#6060 := [rewrite]: #6059
-#6063 := [monotonicity #6060]: #6062
-#6066 := [monotonicity #6063]: #6065
-#6735 := [monotonicity #6066]: #6118
-#6845 := [trans #6735 #6683]: #6844
-#6137 := [quant-inst]: #6682
-#6878 := [mp #6137 #6845]: #6681
-#25328 := [unit-resolution #6878 #8574]: #6064
-#25329 := [unit-resolution #25328 #25327]: #6056
-#25356 := [mp #25329 #25355]: #173
-#4237 := (or #4568 #1492 #4562)
-#4066 := [def-axiom]: #4237
-#25358 := [unit-resolution #4066 #25356]: #25357
-#25359 := [unit-resolution #25358 #25326]: #4562
-#4232 := (or #4559 #4553)
-#4233 := [def-axiom]: #4232
-#25339 := [unit-resolution #4233 #25359]: #4553
-#4087 := (or #4556 #2235 #4550)
-#4088 := [def-axiom]: #4087
-#25340 := [unit-resolution #4088 #25339]: #4553
-#29776 := [unit-resolution #25340 #29775]: #4550
-#4242 := (or #4547 #4541)
-#4243 := [def-axiom]: #4242
-#29777 := [unit-resolution #4243 #29776]: #4541
-#25343 := (or #4544 #4538)
-#12812 := (= #2249 #5856)
-#12998 := (= ?x48!12 uf_16)
-#10849 := (= ?x48!12 #7128)
-#10847 := (uf_6 uf_15 ?x48!12)
-#10848 := (= uf_8 #10847)
-#10857 := (ite #10849 #5314 #10848)
-#10851 := (uf_6 #7203 ?x48!12)
-#10854 := (= uf_8 #10851)
-#10860 := (iff #10854 #10857)
-#12152 := (or #7026 #10860)
-#10850 := (ite #10849 #6089 #10848)
-#10852 := (= #10851 uf_8)
-#10853 := (iff #10852 #10850)
-#12155 := (or #7026 #10853)
-#10823 := (iff #12155 #12152)
-#10879 := (iff #12152 #12152)
-#10880 := [rewrite]: #10879
-#10861 := (iff #10853 #10860)
-#10858 := (iff #10850 #10857)
-#10859 := [monotonicity #6102]: #10858
-#10855 := (iff #10852 #10854)
-#10856 := [rewrite]: #10855
-#10862 := [monotonicity #10856 #10859]: #10861
-#10824 := [monotonicity #10862]: #10823
-#11111 := [trans #10824 #10880]: #10823
-#12156 := [quant-inst]: #12155
-#11091 := [mp #12156 #11111]: #12152
-#13286 := [unit-resolution #11091 #4320]: #10860
-#12615 := (= #2254 #10851)
-#12608 := (= #10851 #2254)
-#12613 := [monotonicity #8591]: #12608
-#12730 := [symm #12613]: #12615
-#12965 := [hypothesis]: #3403
-#3920 := (or #3398 #2255)
-#4261 := [def-axiom]: #3920
-#12611 := [unit-resolution #4261 #12965]: #2255
-#13209 := [trans #12611 #12730]: #10854
-#11918 := (not #10854)
-#10920 := (not #10860)
-#11919 := (or #10920 #11918 #10857)
-#12057 := [def-axiom]: #11919
-#13217 := [unit-resolution #12057 #13209 #13286]: #10857
-#10236 := (not #10848)
-#11183 := (uf_4 uf_14 ?x48!12)
-#11200 := (* -1::int #11183)
-#13667 := (+ #7168 #11200)
-#13668 := (>= #13667 0::int)
-#13764 := (not #13668)
-#12813 := (+ #2249 #5902)
-#12814 := (<= #12813 0::int)
-#13407 := (not #12814)
-#11572 := (uf_4 uf_14 ?x49!11)
-#11589 := (* -1::int #11572)
-#11709 := (+ #144 #11589)
-#11710 := (<= #11709 0::int)
-#11467 := (uf_6 uf_15 ?x49!11)
-#11468 := (= uf_8 #11467)
-#12026 := (not #11468)
-#11469 := (= ?x49!11 #7128)
-#11477 := (ite #11469 #5314 #11468)
-#12038 := (not #11477)
-#11471 := (uf_6 #7203 ?x49!11)
-#11474 := (= uf_8 #11471)
-#11480 := (iff #11474 #11477)
-#12030 := (or #7026 #11480)
-#11470 := (ite #11469 #6089 #11468)
-#11472 := (= #11471 uf_8)
-#11473 := (iff #11472 #11470)
-#12028 := (or #7026 #11473)
-#12024 := (iff #12028 #12030)
-#12033 := (iff #12030 #12030)
-#12035 := [rewrite]: #12033
-#11481 := (iff #11473 #11480)
-#11478 := (iff #11470 #11477)
-#11479 := [monotonicity #6102]: #11478
-#11475 := (iff #11472 #11474)
-#11476 := [rewrite]: #11475
-#11482 := [monotonicity #11476 #11479]: #11481
-#12032 := [monotonicity #11482]: #12024
-#12036 := [trans #12032 #12035]: #12024
-#12031 := [quant-inst]: #12028
-#12034 := [mp #12031 #12036]: #12030
-#13262 := [unit-resolution #12034 #4320]: #11480
-#12051 := (not #11474)
-#13387 := (iff #2258 #12051)
-#13353 := (iff #2257 #11474)
-#12939 := (iff #11474 #2257)
-#13219 := (= #11471 #2256)
-#13243 := [monotonicity #8591]: #13219
-#13039 := [monotonicity #13243]: #12939
-#13377 := [symm #13039]: #13353
-#13388 := [monotonicity #13377]: #13387
-#3924 := (or #3398 #2258)
-#3925 := [def-axiom]: #3924
-#12937 := [unit-resolution #3925 #12965]: #2258
-#12543 := [mp #12937 #13388]: #12051
-#12047 := (not #11480)
-#12048 := (or #12047 #11474 #12038)
-#12050 := [def-axiom]: #12048
-#12544 := [unit-resolution #12050 #12543 #13262]: #12038
-#12039 := (not #11469)
-#12539 := (or #11477 #12039)
-#12042 := (or #11477 #12039 #7040)
-#12043 := [def-axiom]: #12042
-#12545 := [unit-resolution #12043 #8579]: #12539
-#12546 := [unit-resolution #12545 #12544]: #12039
-#12044 := (or #11477 #11469 #12026)
-#12045 := [def-axiom]: #12044
-#12548 := [unit-resolution #12045 #12546 #12544]: #12026
-#11715 := (or #11468 #11710)
-#4217 := (or #4595 #4446)
-#4221 := [def-axiom]: #4217
-#12574 := [unit-resolution #4221 #7389]: #4446
-#12438 := (or #4451 #11468 #11710)
-#11700 := (+ #11572 #1449)
-#11701 := (>= #11700 0::int)
-#11702 := (or #11468 #11701)
-#12444 := (or #4451 #11702)
-#12454 := (iff #12444 #12438)
-#12448 := (or #4451 #11715)
-#12452 := (iff #12448 #12438)
-#12453 := [rewrite]: #12452
-#12450 := (iff #12444 #12448)
-#11716 := (iff #11702 #11715)
-#11713 := (iff #11701 #11710)
-#11703 := (+ #1449 #11572)
-#11706 := (>= #11703 0::int)
-#11711 := (iff #11706 #11710)
-#11712 := [rewrite]: #11711
-#11707 := (iff #11701 #11706)
-#11704 := (= #11700 #11703)
-#11705 := [rewrite]: #11704
-#11708 := [monotonicity #11705]: #11707
-#11714 := [trans #11708 #11712]: #11713
-#11717 := [monotonicity #11714]: #11716
-#12451 := [monotonicity #11717]: #12450
-#12449 := [trans #12451 #12453]: #12454
-#12447 := [quant-inst]: #12444
-#12455 := [mp #12447 #12449]: #12438
-#12575 := [unit-resolution #12455 #12574]: #11715
-#12576 := [unit-resolution #12575 #12548]: #11710
-#3926 := (not #2855)
-#3927 := (or #3398 #3926)
-#4263 := [def-axiom]: #3927
-#12577 := [unit-resolution #4263 #12965]: #3926
-#13397 := (not #11710)
-#12612 := (or #13407 #2855 #11469 #13397)
-#11605 := (uf_1 uf_16 ?x49!11)
-#11606 := (uf_10 #11605)
-#11631 := (+ #2853 #11606)
-#11632 := (+ #144 #11631)
-#12233 := (<= #11632 0::int)
-#11635 := (= #11632 0::int)
-#11610 := (* -1::int #11606)
-#11611 := (+ uf_9 #11610)
-#11612 := (<= #11611 0::int)
-#12253 := (not #11612)
-#11624 := (+ #11589 #11606)
-#11625 := (+ #144 #11624)
-#11626 := (>= #11625 0::int)
-#11669 := (or #11612 #11626)
-#11674 := (not #11669)
-#11663 := (= #2251 #11572)
-#13437 := (not #11663)
-#11590 := (+ #2251 #11589)
-#12252 := (>= #11590 0::int)
-#13367 := (not #12252)
-#13284 := [hypothesis]: #11710
-#13478 := [hypothesis]: #3926
-#13215 := [hypothesis]: #12814
-#13389 := (or #13367 #13397 #2855 #13407 #13409)
-#13410 := [th-lemma]: #13389
-#13436 := [unit-resolution #13410 #13215 #13478 #13284 #12934]: #13367
-#13434 := (or #13437 #12252)
-#12573 := [th-lemma]: #13434
-#13419 := [unit-resolution #12573 #13436]: #13437
-#11677 := (or #11663 #11674)
-#12241 := (or #4461 #11663 #11674)
-#11613 := (+ #1449 #11610)
-#11614 := (+ #11572 #11613)
-#11615 := (<= #11614 0::int)
-#11659 := (or #11615 #11612)
-#11660 := (not #11659)
-#11661 := (= #11572 #2251)
-#11662 := (or #11661 #11660)
-#12242 := (or #4461 #11662)
-#12249 := (iff #12242 #12241)
-#12245 := (or #4461 #11677)
-#12247 := (iff #12245 #12241)
-#12248 := [rewrite]: #12247
-#12239 := (iff #12242 #12245)
-#11678 := (iff #11662 #11677)
-#11675 := (iff #11660 #11674)
-#11672 := (iff #11659 #11669)
-#11666 := (or #11626 #11612)
-#11670 := (iff #11666 #11669)
-#11671 := [rewrite]: #11670
-#11667 := (iff #11659 #11666)
-#11629 := (iff #11615 #11626)
-#11617 := (+ #11572 #11610)
-#11618 := (+ #1449 #11617)
-#11621 := (<= #11618 0::int)
-#11627 := (iff #11621 #11626)
-#11628 := [rewrite]: #11627
-#11622 := (iff #11615 #11621)
-#11619 := (= #11614 #11618)
-#11620 := [rewrite]: #11619
-#11623 := [monotonicity #11620]: #11622
-#11630 := [trans #11623 #11628]: #11629
-#11668 := [monotonicity #11630]: #11667
-#11673 := [trans #11668 #11671]: #11672
-#11676 := [monotonicity #11673]: #11675
-#11664 := (iff #11661 #11663)
-#11665 := [rewrite]: #11664
-#11679 := [monotonicity #11665 #11676]: #11678
-#12246 := [monotonicity #11679]: #12239
-#12244 := [trans #12246 #12248]: #12249
-#12243 := [quant-inst]: #12242
-#12251 := [mp #12243 #12244]: #12241
-#13417 := [unit-resolution #12251 #8574]: #11677
-#13423 := [unit-resolution #13417 #13419]: #11674
-#12254 := (or #11669 #12253)
-#12258 := [def-axiom]: #12254
-#13426 := [unit-resolution #12258 #13423]: #12253
-#12250 := (not #11626)
-#12259 := (or #11669 #12250)
-#12257 := [def-axiom]: #12259
-#13412 := [unit-resolution #12257 #13423]: #12250
-#11641 := (or #11612 #11626 #11635)
-#12229 := (or #4469 #11612 #11626 #11635)
-#11607 := (+ #11606 #2853)
-#11608 := (+ #144 #11607)
-#11609 := (= #11608 0::int)
-#11616 := (or #11615 #11612 #11609)
-#12222 := (or #4469 #11616)
-#12236 := (iff #12222 #12229)
-#12231 := (or #4469 #11641)
-#12227 := (iff #12231 #12229)
-#12235 := [rewrite]: #12227
-#12232 := (iff #12222 #12231)
-#11644 := (iff #11616 #11641)
-#11638 := (or #11626 #11612 #11635)
-#11642 := (iff #11638 #11641)
-#11643 := [rewrite]: #11642
-#11639 := (iff #11616 #11638)
-#11636 := (iff #11609 #11635)
-#11633 := (= #11608 #11632)
-#11634 := [rewrite]: #11633
-#11637 := [monotonicity #11634]: #11636
-#11640 := [monotonicity #11630 #11637]: #11639
-#11645 := [trans #11640 #11643]: #11644
-#12234 := [monotonicity #11645]: #12232
-#12237 := [trans #12234 #12235]: #12236
-#12230 := [quant-inst]: #12222
-#12238 := [mp #12230 #12237]: #12229
-#13413 := [unit-resolution #12238 #7390]: #11641
-#13433 := [unit-resolution #13413 #13412 #13426]: #11635
-#13370 := (not #11635)
-#13390 := (or #13370 #12233)
-#13391 := [th-lemma]: #13390
-#13385 := [unit-resolution #13391 #13433]: #12233
-#12787 := (uf_1 #7128 ?x49!11)
-#12788 := (uf_10 #12787)
-#12790 := (* -1::int #12788)
-#13285 := (+ #11606 #12790)
-#13280 := (>= #13285 0::int)
-#13216 := (= #11606 #12788)
-#12644 := (= #12788 #11606)
-#12645 := (= #12787 #11605)
-#13418 := [monotonicity #8036]: #12645
-#12646 := [monotonicity #13418]: #12644
-#12578 := [symm #12646]: #13216
-#12641 := (not #13216)
-#12647 := (or #12641 #13280)
-#12643 := [th-lemma]: #12647
-#12582 := [unit-resolution #12643 #12578]: #13280
-#13068 := (<= #12788 0::int)
-#13063 := (not #13068)
-#12581 := [hypothesis]: #12039
-#13211 := (or #7093 #11469 #13063)
-#12936 := (= #7128 ?x49!11)
-#13162 := (or #12936 #13063)
-#13263 := (or #7093 #13162)
-#13354 := (iff #13263 #13211)
-#13255 := (or #11469 #13063)
-#13161 := (or #7093 #13255)
-#13351 := (iff #13161 #13211)
-#13352 := [rewrite]: #13351
-#13071 := (iff #13263 #13161)
-#13069 := (iff #13162 #13255)
-#13204 := (iff #12936 #11469)
-#13265 := [rewrite]: #13204
-#13210 := [monotonicity #13265]: #13069
-#13163 := [monotonicity #13210]: #13071
-#13067 := [trans #13163 #13352]: #13354
-#13160 := [quant-inst]: #13263
-#13355 := [mp #13160 #13067]: #13211
-#12609 := [unit-resolution #13355 #4347 #12581]: #13063
-#12610 := [th-lemma #13478 #13215 #12934 #12609 #12582 #13385]: false
-#12583 := [lemma #12610]: #12612
-#12780 := [unit-resolution #12583 #12577 #12546 #12576]: #13407
-#11201 := (+ #2249 #11200)
-#11202 := (<= #11201 0::int)
-#12087 := (or #4477 #11202)
-#11190 := (+ #11183 #2250)
-#11193 := (>= #11190 0::int)
-#12088 := (or #4477 #11193)
-#12090 := (iff #12088 #12087)
-#12092 := (iff #12087 #12087)
-#12093 := [rewrite]: #12092
-#11205 := (iff #11193 #11202)
-#11194 := (+ #2250 #11183)
-#11197 := (>= #11194 0::int)
-#11203 := (iff #11197 #11202)
-#11204 := [rewrite]: #11203
-#11198 := (iff #11193 #11197)
-#11195 := (= #11190 #11194)
-#11196 := [rewrite]: #11195
-#11199 := [monotonicity #11196]: #11198
-#11206 := [trans #11199 #11204]: #11205
-#12091 := [monotonicity #11206]: #12090
-#12095 := [trans #12091 #12093]: #12090
-#12085 := [quant-inst]: #12088
-#12097 := [mp #12085 #12095]: #12087
-#13218 := [unit-resolution #12097 #14110]: #11202
-#12617 := (not #11202)
-#12729 := (not #7572)
-#12728 := (or #13764 #12729 #12814 #12617 #12642)
-#12733 := [th-lemma]: #12728
-#12616 := [unit-resolution #12733 #13218 #9185 #14101 #12780]: #13764
-#13844 := (or #10236 #13668)
-#13842 := [hypothesis]: #13764
-#13843 := [hypothesis]: #10848
-#13801 := (or #4426 #7247 #10236 #13668)
-#13669 := (or #10236 #7247 #13668)
-#13802 := (or #4426 #13669)
-#13788 := (iff #13802 #13801)
-#13670 := (or #7247 #10236 #13668)
-#13804 := (or #4426 #13670)
-#13786 := (iff #13804 #13801)
-#13787 := [rewrite]: #13786
-#13805 := (iff #13802 #13804)
-#13665 := (iff #13669 #13670)
-#13671 := [rewrite]: #13665
-#13806 := [monotonicity #13671]: #13805
-#13789 := [trans #13806 #13787]: #13788
-#13803 := [quant-inst]: #13802
-#13790 := [mp #13803 #13789]: #13801
-#13838 := [unit-resolution #13790 #9153 #9152 #13843 #13842]: false
-#13845 := [lemma #13838]: #13844
-#12734 := [unit-resolution #13845 #12616]: #10236
-#11030 := (not #10857)
-#11307 := (or #11030 #10849 #10848)
-#11294 := [def-axiom]: #11307
-#12742 := [unit-resolution #11294 #12734 #13217]: #10849
-#12732 := [trans #12742 #8036]: #12998
-#12743 := [monotonicity #12732]: #12812
-#12969 := (not #12812)
-#12967 := (or #12969 #12814)
-#12973 := [th-lemma]: #12967
-#12786 := [unit-resolution #12973 #12780]: #12969
-#12771 := [unit-resolution #12786 #12743]: false
-#12735 := [lemma #12771]: #3398
-#4251 := (or #4544 #3403 #4538)
-#4248 := [def-axiom]: #4251
-#25338 := [unit-resolution #4248 #12735]: #25343
-#29778 := [unit-resolution #25338 #29777]: #4538
-#3968 := (or #4535 #4529)
-#3969 := [def-axiom]: #3968
-#29779 := [unit-resolution #3969 #29778]: #4529
-#25346 := (or #4532 #4526)
-#17148 := [hypothesis]: #3449
-#4266 := (or #3444 #2287)
-#4267 := [def-axiom]: #4266
-#17149 := [unit-resolution #4267 #17148]: #2287
-#9931 := (uf_1 uf_16 ?x50!14)
-#9932 := (uf_10 #9931)
-#9936 := (* -1::int #9932)
-#17081 := (+ #2281 #9936)
-#17083 := (>= #17081 0::int)
-#17080 := (= #2281 #9932)
-#17180 := (= #2280 #9931)
-#17179 := (= ?x51!13 uf_16)
-#10336 := (= ?x51!13 #7128)
-#10334 := (uf_6 uf_15 ?x51!13)
-#10335 := (= uf_8 #10334)
-#10367 := (not #10335)
-#10193 := (uf_4 uf_14 ?x51!13)
-#9874 := (uf_4 uf_14 ?x50!14)
-#9915 := (* -1::int #9874)
-#10384 := (+ #9915 #10193)
-#10385 := (+ #2281 #10384)
-#10388 := (>= #10385 0::int)
-#17156 := (not #10388)
-#9916 := (+ #2276 #9915)
-#9917 := (<= #9916 0::int)
-#16708 := (or #4477 #9917)
-#9907 := (+ #9874 #2277)
-#9908 := (>= #9907 0::int)
-#16709 := (or #4477 #9908)
-#16711 := (iff #16709 #16708)
-#16713 := (iff #16708 #16708)
-#16714 := [rewrite]: #16713
-#9920 := (iff #9908 #9917)
-#9909 := (+ #2277 #9874)
-#9912 := (>= #9909 0::int)
-#9918 := (iff #9912 #9917)
-#9919 := [rewrite]: #9918
-#9913 := (iff #9908 #9912)
-#9910 := (= #9907 #9909)
-#9911 := [rewrite]: #9910
-#9914 := [monotonicity #9911]: #9913
-#9921 := [trans #9914 #9919]: #9920
-#16712 := [monotonicity #9921]: #16711
-#16715 := [trans #16712 #16714]: #16711
-#16710 := [quant-inst]: #16709
-#16716 := [mp #16710 #16715]: #16708
-#17308 := [unit-resolution #16716 #14110]: #9917
-#3906 := (not #2882)
-#4269 := (or #3444 #3906)
-#4271 := [def-axiom]: #4269
-#17151 := [unit-resolution #4271 #17148]: #3906
-#10228 := (* -1::int #10193)
-#10229 := (+ #2278 #10228)
-#15878 := (>= #10229 0::int)
-#10198 := (= #2278 #10193)
-#4262 := (or #3444 #2289)
-#4268 := [def-axiom]: #4262
-#17152 := [unit-resolution #4268 #17148]: #2289
-#16493 := (or #4486 #3429 #10198)
-#10194 := (= #10193 #2278)
-#10197 := (or #10194 #3429)
-#16494 := (or #4486 #10197)
-#16503 := (iff #16494 #16493)
-#10204 := (or #3429 #10198)
-#16498 := (or #4486 #10204)
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-#16499 := (iff #16494 #16498)
-#10207 := (iff #10197 #10204)
-#10201 := (or #10198 #3429)
-#10205 := (iff #10201 #10204)
-#10206 := [rewrite]: #10205
-#10202 := (iff #10197 #10201)
-#10199 := (iff #10194 #10198)
-#10200 := [rewrite]: #10199
-#10203 := [monotonicity #10200]: #10202
-#10208 := [trans #10203 #10206]: #10207
-#16500 := [monotonicity #10208]: #16499
-#16504 := [trans #16500 #16502]: #16503
-#16497 := [quant-inst]: #16494
-#16505 := [mp #16497 #16504]: #16493
-#17150 := [unit-resolution #16505 #9423 #17152]: #10198
-#17153 := (not #10198)
-#17154 := (or #17153 #15878)
-#17155 := [th-lemma]: #17154
-#17147 := [unit-resolution #17155 #17150]: #15878
-#17313 := (not #9917)
-#17315 := (not #15878)
-#17157 := (or #17156 #17315 #17313 #2882)
-#17158 := [th-lemma]: #17157
-#17159 := [unit-resolution #17158 #17147 #17151 #17308]: #17156
-#17146 := (or #10367 #10388)
-#16749 := (or #4417 #2286 #10367 #10388)
-#10380 := (+ #10193 #9915)
-#10381 := (+ #2281 #10380)
-#10382 := (>= #10381 0::int)
-#10383 := (or #10367 #2286 #10382)
-#16750 := (or #4417 #10383)
-#16757 := (iff #16750 #16749)
-#10394 := (or #2286 #10367 #10388)
-#16752 := (or #4417 #10394)
-#16755 := (iff #16752 #16749)
-#16756 := [rewrite]: #16755
-#16753 := (iff #16750 #16752)
-#10397 := (iff #10383 #10394)
-#10391 := (or #10367 #2286 #10388)
-#10395 := (iff #10391 #10394)
-#10396 := [rewrite]: #10395
-#10392 := (iff #10383 #10391)
-#10389 := (iff #10382 #10388)
-#10386 := (= #10381 #10385)
-#10387 := [rewrite]: #10386
-#10390 := [monotonicity #10387]: #10389
-#10393 := [monotonicity #10390]: #10392
-#10398 := [trans #10393 #10396]: #10397
-#16754 := [monotonicity #10398]: #16753
-#16758 := [trans #16754 #16756]: #16757
-#16751 := [quant-inst]: #16750
-#16759 := [mp #16751 #16758]: #16749
-#17160 := [unit-resolution #16759 #8027 #17149]: #17146
-#17161 := [unit-resolution #17160 #17159]: #10367
-#10344 := (ite #10336 #5314 #10335)
-#10338 := (uf_6 #7203 ?x51!13)
-#10341 := (= uf_8 #10338)
-#10347 := (iff #10341 #10344)
-#16506 := (or #7026 #10347)
-#10337 := (ite #10336 #6089 #10335)
-#10339 := (= #10338 uf_8)
-#10340 := (iff #10339 #10337)
-#16507 := (or #7026 #10340)
-#16509 := (iff #16507 #16506)
-#16511 := (iff #16506 #16506)
-#16512 := [rewrite]: #16511
-#10348 := (iff #10340 #10347)
-#10345 := (iff #10337 #10344)
-#10346 := [monotonicity #6102]: #10345
-#10342 := (iff #10339 #10341)
-#10343 := [rewrite]: #10342
-#10349 := [monotonicity #10343 #10346]: #10348
-#16510 := [monotonicity #10349]: #16509
-#16513 := [trans #16510 #16512]: #16509
-#16508 := [quant-inst]: #16507
-#16514 := [mp #16508 #16513]: #16506
-#17162 := [unit-resolution #16514 #4320]: #10347
-#17171 := (= #2288 #10338)
-#17163 := (= #10338 #2288)
-#17164 := [monotonicity #8591]: #17163
-#17174 := [symm #17164]: #17171
-#17175 := [trans #17152 #17174]: #10341
-#16528 := (not #10341)
-#16525 := (not #10347)
-#16529 := (or #16525 #16528 #10344)
-#16530 := [def-axiom]: #16529
-#17176 := [unit-resolution #16530 #17175 #17162]: #10344
-#16515 := (not #10344)
-#16519 := (or #16515 #10336 #10335)
-#16520 := [def-axiom]: #16519
-#17178 := [unit-resolution #16520 #17176 #17161]: #10336
-#17177 := [trans #17178 #8036]: #17179
-#17181 := [monotonicity #17177]: #17180
-#17182 := [monotonicity #17181]: #17080
-#17187 := (not #17080)
-#17188 := (or #17187 #17083)
-#17186 := [th-lemma]: #17188
-#17189 := [unit-resolution #17186 #17182]: #17083
-#9937 := (+ uf_9 #9936)
-#9938 := (<= #9937 0::int)
-#9950 := (+ #9915 #9932)
-#9951 := (+ #144 #9950)
-#9952 := (>= #9951 0::int)
-#16744 := (not #9952)
-#10475 := (uf_2 #2280)
-#11002 := (uf_4 uf_14 #10475)
-#11016 := (* -1::int #11002)
-#16798 := (+ #10193 #11016)
-#16800 := (>= #16798 0::int)
-#16797 := (= #10193 #11002)
-#10476 := (= ?x51!13 #10475)
-#16793 := (or #7136 #10476)
-#16794 := [quant-inst]: #16793
-#17292 := [unit-resolution #16794 #4306]: #10476
-#17295 := [monotonicity #17292]: #16797
-#17296 := (not #16797)
-#17297 := (or #17296 #16800)
-#17298 := [th-lemma]: #17297
-#17299 := [unit-resolution #17298 #17295]: #16800
-#11017 := (+ #144 #11016)
-#11018 := (<= #11017 0::int)
-#17065 := (= #144 #11002)
-#17202 := (= #11002 #144)
-#17194 := (= #10475 uf_16)
-#17192 := (= #10475 #7128)
-#17190 := (= #10475 ?x51!13)
-#17191 := [symm #17292]: #17190
-#17193 := [trans #17191 #17178]: #17192
-#17195 := [trans #17193 #8036]: #17194
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-#17204 := [symm #17203]: #17065
-#17205 := (not #17065)
-#17206 := (or #17205 #11018)
-#17201 := [th-lemma]: #17206
-#17207 := [unit-resolution #17201 #17204]: #11018
-#17316 := (not #11018)
-#17314 := (not #16800)
-#17208 := (not #17083)
-#17209 := (or #16744 #17208 #17313 #2882 #17314 #17315 #17316)
-#17210 := [th-lemma]: #17209
-#17211 := [unit-resolution #17210 #17207 #17308 #17147 #17151 #17299 #17189]: #16744
-#9957 := (+ #2277 #9932)
-#9958 := (+ #144 #9957)
-#9961 := (= #9958 0::int)
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-#16729 := (>= #9958 0::int)
-#17219 := (not #16729)
-#17220 := (or #17219 #17208 #2882 #17314 #17315 #17316)
-#17221 := [th-lemma]: #17220
-#17222 := [unit-resolution #17221 #17207 #17147 #17151 #17299 #17189]: #17219
-#17218 := (or #17223 #16729)
-#17224 := [th-lemma]: #17218
-#17225 := [unit-resolution #17224 #17222]: #17223
-#9967 := (or #9938 #9952 #9961)
-#16717 := (or #4469 #9938 #9952 #9961)
-#9933 := (+ #9932 #2277)
-#9934 := (+ #144 #9933)
-#9935 := (= #9934 0::int)
-#9939 := (+ #1449 #9936)
-#9940 := (+ #9874 #9939)
-#9941 := (<= #9940 0::int)
-#9942 := (or #9941 #9938 #9935)
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-#16725 := (iff #16718 #16717)
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-#9969 := [rewrite]: #9968
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-#9962 := (iff #9935 #9961)
-#9959 := (= #9934 #9958)
-#9960 := [rewrite]: #9959
-#9963 := [monotonicity #9960]: #9962
-#9955 := (iff #9941 #9952)
-#9943 := (+ #9874 #9936)
-#9944 := (+ #1449 #9943)
-#9947 := (<= #9944 0::int)
-#9953 := (iff #9947 #9952)
-#9954 := [rewrite]: #9953
-#9948 := (iff #9941 #9947)
-#9945 := (= #9940 #9944)
-#9946 := [rewrite]: #9945
-#9949 := [monotonicity #9946]: #9948
-#9956 := [trans #9949 #9954]: #9955
-#9966 := [monotonicity #9956 #9963]: #9965
-#9971 := [trans #9966 #9969]: #9970
-#16722 := [monotonicity #9971]: #16721
-#16726 := [trans #16722 #16724]: #16725
-#16719 := [quant-inst]: #16718
-#16727 := [mp #16719 #16726]: #16717
-#17226 := [unit-resolution #16727 #7390]: #9967
-#17227 := [unit-resolution #17226 #17225 #17211]: #9938
-#17228 := [th-lemma #17227 #17189 #17149]: false
-#17253 := [lemma #17228]: #3444
-#4253 := (or #4532 #3449 #4526)
-#4257 := [def-axiom]: #4253
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-#29780 := [unit-resolution #25347 #29779]: #4526
-#3983 := (or #4523 #4515)
-#3984 := [def-axiom]: #3983
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-#20547 := (or #4520 #7166 #15518 #15538)
-#15505 := (+ #2307 #15504)
-#15506 := (+ #7167 #15505)
-#15507 := (= #15506 0::int)
-#15508 := (not #15507)
-#15509 := (+ #7167 #2307)
-#15510 := (>= #15509 0::int)
-#15511 := (or #7166 #15510 #15508)
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-#15535 := [rewrite]: #15534
-#15528 := (iff #15507 #15527)
-#15525 := (= #15506 #15524)
-#15526 := [rewrite]: #15525
-#15529 := [monotonicity #15526]: #15528
-#15537 := [trans #15529 #15535]: #15536
-#15540 := [monotonicity #15537]: #15539
-#15521 := (iff #15510 #15518)
-#15512 := (+ #2307 #7167)
-#15515 := (>= #15512 0::int)
-#15519 := (iff #15515 #15518)
-#15520 := [rewrite]: #15519
-#15516 := (iff #15510 #15515)
-#15513 := (= #15509 #15512)
-#15514 := [rewrite]: #15513
-#15517 := [monotonicity #15514]: #15516
-#15522 := [trans #15517 #15520]: #15521
-#15543 := [monotonicity #15522 #15540]: #15542
-#20388 := [monotonicity #15543]: #20386
-#20485 := [trans #20388 #20517]: #20578
-#20612 := [quant-inst]: #17626
-#20795 := [mp #20612 #20485]: #20547
-#29782 := [unit-resolution #20795 #29781]: #15541
-#29783 := [unit-resolution #29782 #29774 #25367]: #15518
-#28771 := (<= #28711 0::int)
-#28772 := (not #28771)
-#28773 := (= #7128 #27533)
-#29792 := (not #28773)
-#28056 := (not #18779)
-#29793 := (iff #28056 #29792)
-#29790 := (iff #18779 #28773)
-#29788 := (iff #28773 #18779)
-#29785 := (iff #28773 #25219)
-#29786 := [monotonicity #29764]: #29785
-#29789 := [trans #29786 #29787]: #29788
-#29791 := [symm #29789]: #29790
-#29794 := [monotonicity #29791]: #29793
-#29784 := [hypothesis]: #28056
-#29795 := [mp #29784 #29794]: #29792
-#28775 := (or #28772 #28773)
-#29743 := (or #7093 #28772 #28773)
-#28774 := (or #28773 #28772)
-#29744 := (or #7093 #28774)
-#29751 := (iff #29744 #29743)
-#29746 := (or #7093 #28775)
-#29749 := (iff #29746 #29743)
-#29750 := [rewrite]: #29749
-#29747 := (iff #29744 #29746)
-#28776 := (iff #28774 #28775)
-#28777 := [rewrite]: #28776
-#29748 := [monotonicity #28777]: #29747
-#29752 := [trans #29748 #29750]: #29751
-#29745 := [quant-inst]: #29744
-#29753 := [mp #29745 #29752]: #29743
-#29796 := [unit-resolution #29753 #4347]: #28775
-#29797 := [unit-resolution #29796 #29795]: #28772
-#29798 := [th-lemma #29797 #29783 #25304 #25235 #12934 #29773]: false
-#29800 := [lemma #29798]: #29799
-#32973 := [unit-resolution #29800 #32972]: #18779
-#32992 := [mp #32973 #32991]: #32602
-#32632 := (not #32602)
-#32993 := (or #32591 #32632)
-#29702 := (or #32591 #32632 #7040)
-#30315 := [def-axiom]: #29702
-#32995 := [unit-resolution #30315 #8579]: #32993
-#32996 := [unit-resolution #32995 #32992]: #32591
-#32599 := (not #32591)
-#28920 := (not #32564)
-#30916 := (or #28920 #32538 #32599)
-#31002 := [def-axiom]: #30916
-#32987 := [unit-resolution #31002 #32996 #32981 #32954]: false
-#32997 := [lemma #32987]: #15367
-#39375 := (or #32956 #14218)
-#39376 := [th-lemma]: #39375
-#39377 := [unit-resolution #39376 #32997]: #14218
-#34351 := (not #14218)
-#34357 := (or #34324 #34351)
-#4272 := (or #4523 #2319)
-#4270 := [def-axiom]: #4272
-#34292 := [unit-resolution #4270 #29780]: #2319
-#34293 := [hypothesis]: #14218
-#34291 := [hypothesis]: #16010
-#34294 := [th-lemma #34291 #34293 #34292]: false
-#34641 := [lemma #34294]: #34357
-#39378 := [unit-resolution #34641 #39377]: #34324
-#39380 := (or #16010 #16030)
-#4273 := (or #4523 #2896)
-#4259 := [def-axiom]: #4273
-#39379 := [unit-resolution #4259 #29780]: #2896
-#17785 := (or #4442 #2893 #16010 #16030)
-#15998 := (+ #15997 #15995)
-#15999 := (+ #15362 #15998)
-#16000 := (= #15999 0::int)
-#16001 := (not #16000)
-#16007 := (or #16006 #16003 #16001)
-#16008 := (not #16007)
-#16011 := (or #2320 #16010 #16008)
-#20897 := (or #4442 #16011)
-#21453 := (iff #20897 #17785)
-#16033 := (or #2893 #16010 #16030)
-#21128 := (or #4442 #16033)
-#18084 := (iff #21128 #17785)
-#22003 := [rewrite]: #18084
-#20788 := (iff #20897 #21128)
-#16034 := (iff #16011 #16033)
-#16031 := (iff #16008 #16030)
-#16028 := (iff #16007 #16025)
-#16022 := (or #16006 #16003 #16019)
-#16026 := (iff #16022 #16025)
-#16027 := [rewrite]: #16026
-#16023 := (iff #16007 #16022)
-#16020 := (iff #16001 #16019)
-#16017 := (iff #16000 #16016)
-#16014 := (= #15999 #16013)
-#16015 := [rewrite]: #16014
-#16018 := [monotonicity #16015]: #16017
-#16021 := [monotonicity #16018]: #16020
-#16024 := [monotonicity #16021]: #16023
-#16029 := [trans #16024 #16027]: #16028
-#16032 := [monotonicity #16029]: #16031
-#16035 := [monotonicity #2895 #16032]: #16034
-#21237 := [monotonicity #16035]: #20788
-#21330 := [trans #21237 #22003]: #21453
-#21234 := [quant-inst]: #20897
-#21506 := [mp #21234 #21330]: #17785
-#39381 := [unit-resolution #21506 #8030 #39379]: #39380
-#39382 := [unit-resolution #39381 #39378]: #16030
-#22030 := (or #16025 #16016)
-#18058 := [def-axiom]: #22030
-#32365 := [unit-resolution #18058 #39382]: #16016
-#32368 := (or #16019 #22006)
-#29568 := [th-lemma]: #32368
-#29612 := [unit-resolution #29568 #32365]: #22006
-#20411 := (+ uf_9 #15995)
-#20412 := (<= #20411 0::int)
-#20215 := (uf_6 uf_17 #15992)
-#20216 := (= uf_8 #20215)
-#20606 := (uf_2 #15993)
-#39327 := (uf_6 #7203 #20606)
-#38901 := (= #39327 #20215)
-#38905 := (= #20215 #39327)
-#20607 := (= #15992 #20606)
-#25402 := (or #7136 #20607)
-#25393 := [quant-inst]: #25402
-#39384 := [unit-resolution #25393 #4306]: #20607
-#8247 := (= uf_17 #7203)
-#8291 := (= #150 #7203)
-#8151 := [symm #8593]: #8291
-#8423 := [trans #8578 #8151]: #8247
-#38906 := [monotonicity #8423 #39384]: #38905
-#38907 := [symm #38906]: #38901
-#39330 := (= uf_8 #39327)
-#21345 := (uf_6 uf_15 #20606)
-#21346 := (= uf_8 #21345)
-#39333 := (= #7128 #20606)
-#39336 := (ite #39333 #5314 #21346)
-#39339 := (iff #39330 #39336)
-#38867 := (or #7026 #39339)
-#39325 := (= #20606 #7128)
-#39326 := (ite #39325 #6089 #21346)
-#39328 := (= #39327 uf_8)
-#39329 := (iff #39328 #39326)
-#38877 := (or #7026 #39329)
-#38879 := (iff #38877 #38867)
-#38890 := (iff #38867 #38867)
-#38888 := [rewrite]: #38890
-#39340 := (iff #39329 #39339)
-#39337 := (iff #39326 #39336)
-#39334 := (iff #39325 #39333)
-#39335 := [rewrite]: #39334
-#39338 := [monotonicity #39335 #6102]: #39337
-#39331 := (iff #39328 #39330)
-#39332 := [rewrite]: #39331
-#39341 := [monotonicity #39332 #39338]: #39340
-#38889 := [monotonicity #39341]: #38879
-#38894 := [trans #38889 #38888]: #38879
-#38878 := [quant-inst]: #38877
-#38893 := [mp #38878 #38894]: #38867
-#38919 := [unit-resolution #38893 #4320]: #39339
-#38895 := (not #39339)
-#38922 := (or #38895 #39330)
-#39351 := (not #39336)
-#39371 := [hypothesis]: #39351
-#39352 := (not #39333)
-#39372 := (or #39336 #39352)
-#39357 := (or #39336 #39352 #7040)
-#39358 := [def-axiom]: #39357
-#39373 := [unit-resolution #39358 #8579]: #39372
-#39374 := [unit-resolution #39373 #39371]: #39352
-#39394 := (or #39336 #39333)
-#39391 := (= #16004 #21345)
-#39387 := (= #21345 #16004)
-#39385 := (= #20606 #15992)
-#39386 := [symm #39384]: #39385
-#39388 := [monotonicity #39386]: #39387
-#39392 := [symm #39388]: #39391
-#21698 := (or #16025 #16005)
-#21997 := [def-axiom]: #21698
-#39383 := [unit-resolution #21997 #39382]: #16005
-#39393 := [trans #39383 #39392]: #21346
-#21347 := (not #21346)
-#39359 := (or #39336 #39333 #21347)
-#39360 := [def-axiom]: #39359
-#39395 := [unit-resolution #39360 #39393]: #39394
-#39396 := [unit-resolution #39395 #39374 #39371]: false
-#39397 := [lemma #39396]: #39336
-#38896 := (or #38895 #39330 #39351)
-#38897 := [def-axiom]: #38896
-#38902 := [unit-resolution #38897 #39397]: #38922
-#38903 := [unit-resolution #38902 #38919]: #39330
-#38908 := [trans #38903 #38907]: #20216
-#20217 := (not #20216)
-#38921 := [hypothesis]: #20217
-#38924 := [unit-resolution #38921 #38908]: false
-#38927 := [lemma #38924]: #20216
-#20218 := (uf_18 #15992)
-#20235 := (* -1::int #20218)
-#20421 := (+ #15995 #20235)
-#20422 := (+ #2306 #20421)
-#20423 := (<= #20422 0::int)
-#31764 := (not #20423)
-#26473 := (>= #20422 0::int)
-#20236 := (+ #15996 #20235)
-#20237 := (>= #20236 0::int)
-#25927 := (or #4477 #20237)
-#26030 := [quant-inst]: #25927
-#27294 := [unit-resolution #26030 #14110]: #20237
-#32338 := (not #20237)
-#29920 := (not #22006)
-#29919 := (or #26473 #29920 #34351 #32338)
-#32347 := [th-lemma]: #29919
-#32336 := [unit-resolution #32347 #29612 #27294 #39377]: #26473
-#20465 := (= #20422 0::int)
-#20470 := (not #20465)
-#20454 := (+ #2306 #20235)
-#20455 := (<= #20454 0::int)
-#32331 := (not #20455)
-#22027 := (not #16003)
-#21587 := (or #16025 #22027)
-#21112 := [def-axiom]: #21587
-#32344 := [unit-resolution #21112 #39382]: #22027
-#32343 := (or #32331 #16003 #34351 #32338)
-#32335 := [th-lemma]: #32343
-#32375 := [unit-resolution #32335 #32344 #27294 #39377]: #32331
-#20473 := (or #20217 #20455 #20470)
-#25436 := (or #4520 #20217 #20455 #20470)
-#20442 := (+ #2307 #15994)
-#20443 := (+ #20218 #20442)
-#20444 := (= #20443 0::int)
-#20445 := (not #20444)
-#20406 := (+ #20218 #2307)
-#20446 := (>= #20406 0::int)
-#20447 := (or #20217 #20446 #20445)
-#26505 := (or #4520 #20447)
-#26705 := (iff #26505 #25436)
-#11899 := (or #4520 #20473)
-#26697 := (iff #11899 #25436)
-#26704 := [rewrite]: #26697
-#25435 := (iff #26505 #11899)
-#20474 := (iff #20447 #20473)
-#20471 := (iff #20445 #20470)
-#20468 := (iff #20444 #20465)
-#20414 := (+ #15994 #20218)
-#20415 := (+ #2307 #20414)
-#20462 := (= #20415 0::int)
-#20466 := (iff #20462 #20465)
-#20467 := [rewrite]: #20466
-#20463 := (iff #20444 #20462)
-#20460 := (= #20443 #20415)
-#20461 := [rewrite]: #20460
-#20464 := [monotonicity #20461]: #20463
-#20469 := [trans #20464 #20467]: #20468
-#20472 := [monotonicity #20469]: #20471
-#20458 := (iff #20446 #20455)
-#20448 := (+ #2307 #20218)
-#20451 := (>= #20448 0::int)
-#20456 := (iff #20451 #20455)
-#20457 := [rewrite]: #20456
-#20452 := (iff #20446 #20451)
-#20449 := (= #20406 #20448)
-#20450 := [rewrite]: #20449
-#20453 := [monotonicity #20450]: #20452
-#20459 := [trans #20453 #20457]: #20458
-#20475 := [monotonicity #20459 #20472]: #20474
-#26696 := [monotonicity #20475]: #25435
-#26698 := [trans #26696 #26704]: #26705
-#26504 := [quant-inst]: #26505
-#26615 := [mp #26504 #26698]: #25436
-#29644 := [unit-resolution #26615 #29781]: #20473
-#29611 := [unit-resolution #29644 #38927 #32375]: #20470
-#32349 := (not #26473)
-#31762 := (or #20465 #31764 #32349)
-#29679 := [th-lemma]: #31762
-#32366 := [unit-resolution #29679 #29611 #32336]: #31764
-#20428 := (or #20217 #20412 #20423)
-#4260 := (or #4523 #4506)
-#3982 := [def-axiom]: #4260
-#29894 := [unit-resolution #3982 #29780]: #4506
-#26338 := (or #4511 #20217 #20412 #20423)
-#20407 := (+ #15994 #20406)
-#20410 := (>= #20407 0::int)
-#20413 := (or #20217 #20412 #20410)
-#26340 := (or #4511 #20413)
-#25469 := (iff #26340 #26338)
-#10685 := (or #4511 #20428)
-#25478 := (iff #10685 #26338)
-#25474 := [rewrite]: #25478
-#25437 := (iff #26340 #10685)
-#20429 := (iff #20413 #20428)
-#20426 := (iff #20410 #20423)
-#20418 := (>= #20415 0::int)
-#20424 := (iff #20418 #20423)
-#20425 := [rewrite]: #20424
-#20419 := (iff #20410 #20418)
-#20416 := (= #20407 #20415)
-#20417 := [rewrite]: #20416
-#20420 := [monotonicity #20417]: #20419
-#20427 := [trans #20420 #20425]: #20426
-#20430 := [monotonicity #20427]: #20429
-#25388 := [monotonicity #20430]: #25437
-#25466 := [trans #25388 #25474]: #25469
-#25477 := [quant-inst]: #26340
-#25432 := [mp #25477 #25466]: #26338
-#31826 := [unit-resolution #25432 #29894]: #20428
-#29616 := [unit-resolution #31826 #32366 #38927]: #20412
-[th-lemma #34292 #39377 #29616 #29612 #29563]: false
+#1856 := [mp~ #401 #1855]: #396
+#4243 := [mp #1856 #4242]: #4238
+#6331 := (not #4238)
+#11098 := (or #6331 #10318 #10346)
+#10424 := (not #10406)
+#10425 := (or #10424 #10318)
+#11207 := (or #6331 #10425)
+#11222 := (iff #11207 #11098)
+#11209 := (or #6331 #10431)
+#11220 := (iff #11209 #11098)
+#11221 := [rewrite]: #11220
+#11210 := (iff #11207 #11209)
+#10434 := (iff #10425 #10431)
+#10428 := (or #10346 #10318)
+#10432 := (iff #10428 #10431)
+#10433 := [rewrite]: #10432
+#10429 := (iff #10425 #10428)
+#10426 := (iff #10424 #10346)
+#10427 := [monotonicity #10409]: #10426
+#10430 := [monotonicity #10427]: #10429
+#10435 := [trans #10430 #10433]: #10434
+#11211 := [monotonicity #10435]: #11210
+#11223 := [trans #11211 #11221]: #11222
+#11208 := [quant-inst]: #11207
+#11224 := [mp #11208 #11223]: #11098
+#11992 := [unit-resolution #11224 #4243]: #10431
+#11993 := [unit-resolution #11992 #11991 #11986]: false
+#11994 := [lemma #11993]: #11219
+#10057 := (+ #2261 #11133)
+#11955 := (<= #10057 0::int)
+#13994 := (not #12385)
+#13995 := (or #13994 #11955)
+#13996 := [th-lemma]: #13995
+#13997 := [unit-resolution #13996 #13203]: #11955
+#9707 := (* -1::int #9701)
+#10565 := (+ #188 #9707)
+#10581 := (>= #10565 0::int)
+#9923 := (= #188 #9701)
+#12919 := (= #9701 #188)
+#12920 := [monotonicity #10708]: #12919
+#12921 := [symm #12920]: #9923
+#12922 := (not #9923)
+#12923 := (or #12922 #10581)
+#12924 := [th-lemma]: #12923
+#12925 := [unit-resolution #12924 #12921]: #10581
+#13998 := [th-lemma #12925 #13997 #11994 #13993 #13980 #13979]: false
+#14001 := [lemma #13998]: #14000
+#13600 := [unit-resolution #14001 #13599]: #13999
+#13971 := (or #11138 #11135)
+#13935 := [hypothesis]: #13999
+#13936 := [hypothesis]: #11137
+#9685 := (uf_6 uf_15 #9695)
+#9686 := (= uf_8 #9685)
+#13964 := (not #9686)
+#13965 := (iff #731 #13964)
+#13957 := (iff #728 #9686)
+#13955 := (iff #9686 #728)
+#13948 := (= #9685 #185)
+#13954 := [monotonicity #10708]: #13948
+#13956 := [monotonicity #13954]: #13955
+#13958 := [symm #13956]: #13957
+#13968 := [monotonicity #13958]: #13965
+#4070 := (or #4567 #731)
+#4065 := [def-axiom]: #4070
+#13953 := [unit-resolution #4065 #10726]: #731
+#13969 := [mp #13953 #13968]: #13964
+#3978 := (or #4579 #4323)
+#4033 := [def-axiom]: #3978
+#13967 := [unit-resolution #4033 #5496]: #4323
+#13906 := (or #4328 #9686 #11135 #11138)
+#11139 := (or #9686 #11138 #11135)
+#13907 := (or #4328 #11139)
+#13933 := (iff #13907 #13906)
+#11140 := (or #9686 #11135 #11138)
+#13912 := (or #4328 #11140)
+#13931 := (iff #13912 #13906)
+#13932 := [rewrite]: #13931
+#13929 := (iff #13907 #13912)
+#11141 := (iff #11139 #11140)
+#11142 := [rewrite]: #11141
+#13930 := [monotonicity #11142]: #13929
+#13928 := [trans #13930 #13932]: #13933
+#13911 := [quant-inst]: #13907
+#13934 := [mp #13911 #13928]: #13906
+#13970 := [unit-resolution #13934 #13967 #13969 #13936 #13935]: false
+#13972 := [lemma #13970]: #13971
+#13598 := [unit-resolution #13972 #13600]: #11138
+#13978 := (or #13335 #11137)
+#13974 := (iff #9519 #11137)
+#13973 := (iff #11137 #9519)
+#13736 := (= #11136 #9518)
+#13693 := (= #10448 ?x63!14)
+#13735 := [symm #13195]: #13693
+#13905 := [monotonicity #13735]: #13736
+#13966 := [monotonicity #13905]: #13973
+#13975 := [symm #13966]: #13974
+#13619 := [hypothesis]: #9519
+#13976 := [mp #13619 #13975]: #11137
+#13625 := [hypothesis]: #11138
+#13977 := [unit-resolution #13625 #13976]: false
+#13982 := [lemma #13977]: #13978
+#13601 := [unit-resolution #13982 #13598]: #13335
+#13052 := (not #10330)
+#13244 := (or #13052 #10319 #9519)
+#13279 := [def-axiom]: #13244
+#13602 := [unit-resolution #13279 #13601 #13593]: #10319
+#13607 := [trans #13735 #13602]: #13609
+#13611 := [trans #13607 #10708]: #13610
+#13622 := [monotonicity #13611]: #13621
+#13629 := [symm #13622]: #13623
+#13634 := (= #2260 #188)
+#4740 := (uf_24 uf_22)
+#10619 := (= #4740 #188)
+#4741 := (= #188 #4740)
+#4729 := (uf_10 #4728)
+#4748 := (>= #4729 0::int)
+#4732 := (* -1::int #4729)
+#4736 := (+ uf_9 #4732)
+#4737 := (<= #4736 0::int)
+#4753 := (or #4737 #4748)
+#9615 := (= #4729 0::int)
+#9682 := (or #6331 #9615)
+#4959 := (= uf_22 uf_22)
+#9598 := (not #4959)
+#9599 := (or #9598 #9615)
+#9683 := (or #6331 #9599)
+#9749 := (iff #9683 #9682)
+#9751 := (iff #9682 #9682)
+#9752 := [rewrite]: #9751
+#9631 := (iff #9599 #9615)
+#9603 := (or false #9615)
+#9606 := (iff #9603 #9615)
+#9607 := [rewrite]: #9606
+#9604 := (iff #9599 #9603)
+#9602 := (iff #9598 false)
+#9600 := (iff #9598 #8605)
+#4968 := (iff #4959 true)
+#4969 := [rewrite]: #4968
+#9601 := [monotonicity #4969]: #9600
+#9597 := [trans #9601 #8609]: #9602
+#9605 := [monotonicity #9597]: #9604
+#9632 := [trans #9605 #9607]: #9631
+#9750 := [monotonicity #9632]: #9749
+#9747 := [trans #9750 #9752]: #9749
+#9748 := [quant-inst]: #9683
+#9724 := [mp #9748 #9747]: #9682
+#10718 := [unit-resolution #9724 #4243]: #9615
+#10719 := (not #9615)
+#10720 := (or #10719 #4748)
+#10721 := [th-lemma]: #10720
+#10722 := [unit-resolution #10721 #10718]: #4748
+#9223 := (not #4748)
+#9224 := (or #4753 #9223)
+#9225 := [def-axiom]: #9224
+#10723 := [unit-resolution #9225 #10722]: #4753
+#4756 := (not #4753)
+#4759 := (or #4741 #4756)
+#7499 := (or #4433 #4741 #4756)
+#4733 := (+ #1455 #4732)
+#4734 := (+ #188 #4733)
+#4735 := (<= #4734 0::int)
+#4738 := (or #4737 #4735)
+#4739 := (not #4738)
+#4742 := (or #4741 #4739)
+#7438 := (or #4433 #4742)
+#9202 := (iff #7438 #7499)
+#9040 := (or #4433 #4759)
+#9159 := (iff #9040 #7499)
+#9162 := [rewrite]: #9159
+#9149 := (iff #7438 #9040)
+#4760 := (iff #4742 #4759)
+#4757 := (iff #4739 #4756)
+#4754 := (iff #4738 #4753)
+#4751 := (iff #4735 #4748)
+#4745 := (<= #4732 0::int)
+#4749 := (iff #4745 #4748)
+#4750 := [rewrite]: #4749
+#4746 := (iff #4735 #4745)
+#4743 := (= #4734 #4732)
+#4744 := [rewrite]: #4743
+#4747 := [monotonicity #4744]: #4746
+#4752 := [trans #4747 #4750]: #4751
+#4755 := [monotonicity #4752]: #4754
+#4758 := [monotonicity #4755]: #4757
+#4761 := [monotonicity #4758]: #4760
+#8886 := [monotonicity #4761]: #9149
+#9203 := [trans #8886 #9162]: #9202
+#9039 := [quant-inst]: #7438
+#9204 := [mp #9039 #9203]: #7499
+#10728 := [unit-resolution #9204 #10727]: #4759
+#10729 := [unit-resolution #10728 #10723]: #4741
+#13620 := [symm #10729]: #10619
+#13608 := (= #2260 #4740)
+#9704 := (= ?x63!14 uf_22)
+#13603 := [trans #13602 #10708]: #9704
+#13612 := [monotonicity #13603]: #13608
+#13641 := [trans #13612 #13620]: #13634
+#13633 := [trans #13641 #13629]: #13222
+#13644 := [trans #13633 #13213]: #2866
+#13646 := [unit-resolution #13188 #13644]: false
+#13639 := [lemma #13646]: #2872
+#10564 := [unit-resolution #13639 #10294 #10559]: false
+#10587 := [lemma #10564]: #2872
+#4036 := (or #4567 #4561)
+#4037 := [def-axiom]: #4036
+#10784 := [unit-resolution #4037 #10726]: #4561
+#4062 := (or #4567 #4436)
+#4035 := [def-axiom]: #4062
+#10785 := [unit-resolution #4035 #10726]: #4436
+#9537 := (or #2858 #4441 #4433)
+#9339 := (uf_1 uf_22 ?x61!13)
+#9340 := (uf_10 #9339)
+#9365 := (+ #2240 #9340)
+#9366 := (+ #188 #9365)
+#9387 := (>= #9366 0::int)
+#9369 := (= #9366 0::int)
+#9344 := (* -1::int #9340)
+#9348 := (+ uf_9 #9344)
+#9349 := (<= #9348 0::int)
+#9416 := (not #9349)
+#9358 := (+ #2856 #9340)
+#9359 := (+ #188 #9358)
+#9360 := (>= #9359 0::int)
+#9395 := (or #9349 #9360)
+#9398 := (not #9395)
+#9392 := (= #2239 #2241)
+#9517 := (not #9392)
+#9516 := [hypothesis]: #2863
+#9520 := (or #9517 #2858)
+#9521 := [th-lemma]: #9520
+#9522 := [unit-resolution #9521 #9516]: #9517
+#9523 := [hypothesis]: #4428
+#9404 := (or #4433 #9392 #9398)
+#9345 := (+ #1455 #9344)
+#9346 := (+ #2241 #9345)
+#9347 := (<= #9346 0::int)
+#9388 := (or #9349 #9347)
+#9389 := (not #9388)
+#9390 := (= #2241 #2239)
+#9391 := (or #9390 #9389)
+#9405 := (or #4433 #9391)
+#9412 := (iff #9405 #9404)
+#9401 := (or #9392 #9398)
+#9407 := (or #4433 #9401)
+#9410 := (iff #9407 #9404)
+#9411 := [rewrite]: #9410
+#9408 := (iff #9405 #9407)
+#9402 := (iff #9391 #9401)
+#9399 := (iff #9389 #9398)
+#9396 := (iff #9388 #9395)
+#9363 := (iff #9347 #9360)
+#9351 := (+ #2241 #9344)
+#9352 := (+ #1455 #9351)
+#9355 := (<= #9352 0::int)
+#9361 := (iff #9355 #9360)
+#9362 := [rewrite]: #9361
+#9356 := (iff #9347 #9355)
+#9353 := (= #9346 #9352)
+#9354 := [rewrite]: #9353
+#9357 := [monotonicity #9354]: #9356
+#9364 := [trans #9357 #9362]: #9363
+#9397 := [monotonicity #9364]: #9396
+#9400 := [monotonicity #9397]: #9399
+#9393 := (iff #9390 #9392)
+#9394 := [rewrite]: #9393
+#9403 := [monotonicity #9394 #9400]: #9402
+#9409 := [monotonicity #9403]: #9408
+#9413 := [trans #9409 #9411]: #9412
+#9406 := [quant-inst]: #9405
+#9414 := [mp #9406 #9413]: #9404
+#9524 := [unit-resolution #9414 #9523 #9522]: #9398
+#9417 := (or #9395 #9416)
+#9418 := [def-axiom]: #9417
+#9525 := [unit-resolution #9418 #9524]: #9416
+#9419 := (not #9360)
+#9420 := (or #9395 #9419)
+#9421 := [def-axiom]: #9420
+#9526 := [unit-resolution #9421 #9524]: #9419
+#9372 := (or #9349 #9360 #9369)
+#7593 := [hypothesis]: #4436
+#9375 := (or #4441 #9349 #9360 #9369)
+#9341 := (+ #9340 #2240)
+#9342 := (+ #188 #9341)
+#9343 := (= #9342 0::int)
+#9350 := (or #9349 #9347 #9343)
+#9376 := (or #4441 #9350)
+#9383 := (iff #9376 #9375)
+#9378 := (or #4441 #9372)
+#9381 := (iff #9378 #9375)
+#9382 := [rewrite]: #9381
+#9379 := (iff #9376 #9378)
+#9373 := (iff #9350 #9372)
+#9370 := (iff #9343 #9369)
+#9367 := (= #9342 #9366)
+#9368 := [rewrite]: #9367
+#9371 := [monotonicity #9368]: #9370
+#9374 := [monotonicity #9364 #9371]: #9373
+#9380 := [monotonicity #9374]: #9379
+#9384 := [trans #9380 #9382]: #9383
+#9377 := [quant-inst]: #9376
+#9385 := [mp #9377 #9384]: #9375
+#9527 := [unit-resolution #9385 #7593]: #9372
+#9528 := [unit-resolution #9527 #9526 #9525]: #9369
+#9529 := (not #9369)
+#9530 := (or #9529 #9387)
+#9531 := [th-lemma]: #9530
+#9532 := [unit-resolution #9531 #9528]: #9387
+#9415 := (>= #2857 0::int)
+#9533 := (or #9415 #2858)
+#9534 := [th-lemma]: #9533
+#9535 := [unit-resolution #9534 #9516]: #9415
+#9536 := [th-lemma #9535 #9526 #9532]: false
+#9538 := [lemma #9536]: #9537
+#10786 := [unit-resolution #9538 #10785 #10727]: #2858
+#4066 := (or #4564 #2863 #4558)
+#4067 := [def-axiom]: #4066
+#10787 := [unit-resolution #4067 #10786 #10784]: #4558
+#4081 := (or #4555 #4549)
+#4082 := [def-axiom]: #4081
+#25696 := [unit-resolution #4082 #10787]: #4549
+#4077 := (or #4552 #2877 #4546)
+#4078 := [def-axiom]: #4077
+#25697 := [unit-resolution #4078 #25696]: #4549
+#25698 := [unit-resolution #25697 #10587]: #4546
+#4087 := (or #4543 #4453)
+#4089 := [def-axiom]: #4087
+#25699 := [unit-resolution #4089 #25698]: #4453
+#17073 := (or #3494 #2335 #4458)
+#4079 := (or #4555 #4444)
+#4080 := [def-axiom]: #4079
+#10788 := [unit-resolution #4080 #10787]: #4444
+#4071 := (or #4567 #4418)
+#4057 := [def-axiom]: #4071
+#17666 := [unit-resolution #4057 #10726]: #4418
+#17049 := (or #3494 #2335 #4441 #4423 #981 #4449 #4458)
+#7717 := (or #3494 #4319 #2335 #4441 #4423 #981 #4449 #4458)
+#6095 := (uf_4 uf_14 ?x72!18)
+#6194 := (* -1::int #6095)
+#6195 := (+ #2327 #6194)
+#7308 := (>= #6195 0::int)
+#6100 := (= #2327 #6095)
+#4138 := (or #3494 #2338)
+#4132 := [def-axiom]: #4138
+#7656 := [unit-resolution #4132 #7658]: #2338
+#7708 := [hypothesis]: #4453
+#6849 := (or #4458 #3479 #6100)
+#6096 := (= #6095 #2327)
+#6099 := (or #6096 #3479)
+#6850 := (or #4458 #6099)
+#6859 := (iff #6850 #6849)
+#6106 := (or #3479 #6100)
+#6854 := (or #4458 #6106)
+#6857 := (iff #6854 #6849)
+#6858 := [rewrite]: #6857
+#6855 := (iff #6850 #6854)
+#6109 := (iff #6099 #6106)
+#6103 := (or #6100 #3479)
+#6107 := (iff #6103 #6106)
+#6108 := [rewrite]: #6107
+#6104 := (iff #6099 #6103)
+#6101 := (iff #6096 #6100)
+#6102 := [rewrite]: #6101
+#6105 := [monotonicity #6102]: #6104
+#6110 := [trans #6105 #6108]: #6109
+#6856 := [monotonicity #6110]: #6855
+#6860 := [trans #6856 #6858]: #6859
+#6853 := [quant-inst]: #6850
+#6861 := [mp #6853 #6860]: #6849
+#7667 := [unit-resolution #6861 #7708 #7656]: #6100
+#7668 := (not #6100)
+#7666 := (or #7668 #7308)
+#7669 := [th-lemma]: #7666
+#7670 := [unit-resolution #7669 #7667]: #7308
+#4139 := (not #2923)
+#3968 := (or #3494 #4139)
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+#7671 := [unit-resolution #3970 #7658]: #4139
+#7057 := (uf_4 uf_14 ?x71!19)
+#7092 := (* -1::int #7057)
+#7093 := (+ #2325 #7092)
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+#7099 := (or #4449 #7094)
+#7084 := (+ #7057 #2326)
+#7085 := (>= #7084 0::int)
+#7100 := (or #4449 #7085)
+#7102 := (iff #7100 #7099)
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+#7097 := (iff #7085 #7094)
+#7086 := (+ #2326 #7057)
+#7089 := (>= #7086 0::int)
+#7095 := (iff #7089 #7094)
+#7096 := [rewrite]: #7095
+#7090 := (iff #7085 #7089)
+#7087 := (= #7084 #7086)
+#7088 := [rewrite]: #7087
+#7091 := [monotonicity #7088]: #7090
+#7098 := [trans #7091 #7096]: #7097
+#7103 := [monotonicity #7098]: #7102
+#7106 := [trans #7103 #7105]: #7102
+#7101 := [quant-inst]: #7100
+#7107 := [mp #7101 #7106]: #7099
+#7673 := [unit-resolution #7107 #7672]: #7094
+#7218 := (+ #6095 #7092)
+#7219 := (+ #2330 #7218)
+#7220 := (>= #7219 0::int)
+#6129 := (uf_6 uf_15 ?x72!18)
+#6130 := (= uf_8 #6129)
+decl uf_2 :: (-> T1 T2)
+#7303 := (uf_2 #2329)
+#7315 := (uf_6 uf_15 #7303)
+#7316 := (= uf_8 #7315)
+#7618 := (iff #7316 #6130)
+#7616 := (= #7315 #6129)
+#7707 := (= #6129 #7315)
+#7304 := (= ?x72!18 #7303)
+#16 := (uf_2 #12)
+#325 := (= #10 #16)
+#4203 := (forall (vars (?x4 T2) (?x5 T2)) (:pat #4196) #325)
+#329 := (forall (vars (?x4 T2) (?x5 T2)) #325)
+#4206 := (iff #329 #4203)
+#4204 := (iff #325 #325)
+#4205 := [refl]: #4204
+#4207 := [quant-intro #4205]: #4206
+#1844 := (~ #329 #329)
+#1878 := (~ #325 #325)
+#1879 := [refl]: #1878
+#1845 := [nnf-pos #1879]: #1844
+#17 := (= #16 #10)
+#18 := (forall (vars (?x4 T2) (?x5 T2)) #17)
+#330 := (iff #18 #329)
+#327 := (iff #17 #325)
+#328 := [rewrite]: #327
+#331 := [quant-intro #328]: #330
+#324 := [asserted]: #18
+#334 := [mp #324 #331]: #329
+#1880 := [mp~ #334 #1845]: #329
+#4208 := [mp #1880 #4207]: #4203
+#7310 := (not #4203)
+#7311 := (or #7310 #7304)
+#7312 := [quant-inst]: #7311
+#7862 := [unit-resolution #7312 #4208]: #7304
+#7751 := [monotonicity #7862]: #7707
+#7710 := [symm #7751]: #7616
+#7711 := [monotonicity #7710]: #7618
+#7575 := [hypothesis]: #4418
+#6147 := (= uf_22 ?x72!18)
+#6150 := (ite #6147 #3895 #6130)
+#4961 := (uf_7 uf_15 uf_22 #3894)
+#6141 := (uf_6 #4961 ?x72!18)
+#6144 := (= uf_8 #6141)
+#6153 := (iff #6144 #6150)
+#7188 := (or #4987 #6153)
+#6139 := (= ?x72!18 uf_22)
+#6140 := (ite #6139 #4958 #6130)
+#6142 := (= #6141 uf_8)
+#6143 := (iff #6142 #6140)
+#7189 := (or #4987 #6143)
+#7191 := (iff #7189 #7188)
+#7193 := (iff #7188 #7188)
+#7194 := [rewrite]: #7193
+#6154 := (iff #6143 #6153)
+#6151 := (iff #6140 #6150)
+#6148 := (iff #6139 #6147)
+#6149 := [rewrite]: #6148
+#6152 := [monotonicity #6149 #4971]: #6151
+#6145 := (iff #6142 #6144)
+#6146 := [rewrite]: #6145
+#6155 := [monotonicity #6146 #6152]: #6154
+#7192 := [monotonicity #6155]: #7191
+#7195 := [trans #7192 #7194]: #7191
+#7190 := [quant-inst]: #7189
+#7196 := [mp #7190 #7195]: #7188
+#7674 := [unit-resolution #7196 #4222]: #6153
+#7702 := (= #2337 #6141)
+#7684 := (= #6141 #2337)
+#7682 := (= #4961 uf_23)
+#7718 := [hypothesis]: #195
+#7681 := [symm #7718]: #7680
+#7676 := (= #4961 #194)
+#7679 := [monotonicity #7678]: #7676
+#7683 := [trans #7679 #7681]: #7682
+#7700 := [monotonicity #7683]: #7684
+#7703 := [symm #7700]: #7702
+#7704 := [trans #7656 #7703]: #6144
+#7211 := (not #6144)
+#7208 := (not #6153)
+#7212 := (or #7208 #7211 #6150)
+#7213 := [def-axiom]: #7212
+#7705 := [unit-resolution #7213 #7704 #7674]: #6150
+#7587 := [hypothesis]: #2336
+#7197 := (not #6150)
+#7876 := (not #7308)
+#7626 := (not #7094)
+#7627 := (or #7316 #7626 #2923 #7876 #4441 #2335 #7197 #4423)
+#7857 := [hypothesis]: #7308
+#7858 := [hypothesis]: #4139
+#7108 := (uf_1 uf_22 ?x71!19)
+#7109 := (uf_10 #7108)
+#7113 := (* -1::int #7109)
+#7842 := (+ #2330 #7113)
+#7844 := (>= #7842 0::int)
+#7841 := (= #2330 #7109)
+#7843 := (= #2329 #7108)
+#7559 := [hypothesis]: #6150
+#7205 := (not #6130)
+#7614 := (not #7316)
+#7615 := [hypothesis]: #7614
+#7625 := (or #7205 #7316)
+#7620 := (iff #6130 #7316)
+#7863 := (= #7303 ?x72!18)
+#7864 := [symm #7862]: #7863
+#7617 := [monotonicity #7864]: #7616
+#7619 := [monotonicity #7617]: #7618
+#7621 := [symm #7619]: #7620
+#7613 := [hypothesis]: #6130
+#7665 := [mp #7613 #7621]: #7316
+#7624 := [unit-resolution #7615 #7665]: false
+#7623 := [lemma #7624]: #7625
+#7565 := [unit-resolution #7623 #7615]: #7205
+#7201 := (or #7197 #6147 #6130)
+#7202 := [def-axiom]: #7201
+#7566 := [unit-resolution #7202 #7565 #7559]: #6147
+#7567 := [symm #7566]: #6139
+#7568 := [monotonicity #7567]: #7843
+#7569 := [monotonicity #7568]: #7841
+#7847 := (not #7841)
+#7848 := (or #7847 #7844)
+#7849 := [th-lemma]: #7848
+#7576 := [unit-resolution #7849 #7569]: #7844
+#7577 := [hypothesis]: #7094
+#7127 := (+ #7092 #7109)
+#7128 := (+ #188 #7127)
+#7129 := (>= #7128 0::int)
+#7134 := (+ #2326 #7109)
+#7135 := (+ #188 #7134)
+#7138 := (= #7135 0::int)
+#7584 := (not #7138)
+#7156 := (>= #7135 0::int)
+#7875 := (not #7156)
+#7309 := (uf_4 uf_14 #7303)
+#7324 := (* -1::int #7309)
+#7325 := (+ #188 #7324)
+#7326 := (<= #7325 0::int)
+#7331 := (or #7316 #7326)
+#7334 := (or #4423 #7316 #7326)
+#7313 := (+ #7309 #1455)
+#7314 := (>= #7313 0::int)
+#7317 := (or #7316 #7314)
+#7335 := (or #4423 #7317)
+#7342 := (iff #7335 #7334)
+#7337 := (or #4423 #7331)
+#7340 := (iff #7337 #7334)
+#7341 := [rewrite]: #7340
+#7338 := (iff #7335 #7337)
+#7332 := (iff #7317 #7331)
+#7329 := (iff #7314 #7326)
+#7318 := (+ #1455 #7309)
+#7321 := (>= #7318 0::int)
+#7327 := (iff #7321 #7326)
+#7328 := [rewrite]: #7327
+#7322 := (iff #7314 #7321)
+#7319 := (= #7313 #7318)
+#7320 := [rewrite]: #7319
+#7323 := [monotonicity #7320]: #7322
+#7330 := [trans #7323 #7328]: #7329
+#7333 := [monotonicity #7330]: #7332
+#7339 := [monotonicity #7333]: #7338
+#7343 := [trans #7339 #7341]: #7342
+#7336 := [quant-inst]: #7335
+#7344 := [mp #7336 #7343]: #7334
+#7578 := [unit-resolution #7344 #7575]: #7331
+#7579 := [unit-resolution #7578 #7615]: #7326
+#7874 := (not #7326)
+#7873 := (not #7844)
+#7877 := (or #7873 #7874 #7875 #2923 #7876)
+#7859 := [hypothesis]: #7156
+#7860 := [hypothesis]: #7844
+#7861 := [hypothesis]: #7326
+#7503 := (+ #6095 #7324)
+#7507 := (>= #7503 0::int)
+#7502 := (= #6095 #7309)
+#7865 := (= #7309 #6095)
+#7866 := [monotonicity #7864]: #7865
+#7867 := [symm #7866]: #7502
+#7868 := (not #7502)
+#7869 := (or #7868 #7507)
+#7870 := [th-lemma]: #7869
+#7871 := [unit-resolution #7870 #7867]: #7507
+#7872 := [th-lemma #7871 #7861 #7860 #7859 #7858 #7857]: false
+#7878 := [lemma #7872]: #7877
+#7580 := [unit-resolution #7878 #7576 #7579 #7858 #7857]: #7875
+#7585 := (or #7584 #7156)
+#7581 := [th-lemma]: #7585
+#7586 := [unit-resolution #7581 #7580]: #7584
+#7117 := (+ uf_9 #7113)
+#7118 := (<= #7117 0::int)
+#7180 := (not #7118)
+#7590 := (or #7180 #2335 #7873)
+#7591 := [th-lemma]: #7590
+#7592 := [unit-resolution #7591 #7576 #7587]: #7180
+#7141 := (or #7118 #7129 #7138)
+#7144 := (or #4441 #7118 #7129 #7138)
+#7110 := (+ #7109 #2326)
+#7111 := (+ #188 #7110)
+#7112 := (= #7111 0::int)
+#7114 := (+ #1455 #7113)
+#7115 := (+ #7057 #7114)
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+#7119 := (or #7118 #7116 #7112)
+#7145 := (or #4441 #7119)
+#7152 := (iff #7145 #7144)
+#7147 := (or #4441 #7141)
+#7150 := (iff #7147 #7144)
+#7151 := [rewrite]: #7150
+#7148 := (iff #7145 #7147)
+#7142 := (iff #7119 #7141)
+#7139 := (iff #7112 #7138)
+#7136 := (= #7111 #7135)
+#7137 := [rewrite]: #7136
+#7140 := [monotonicity #7137]: #7139
+#7132 := (iff #7116 #7129)
+#7120 := (+ #7057 #7113)
+#7121 := (+ #1455 #7120)
+#7124 := (<= #7121 0::int)
+#7130 := (iff #7124 #7129)
+#7131 := [rewrite]: #7130
+#7125 := (iff #7116 #7124)
+#7122 := (= #7115 #7121)
+#7123 := [rewrite]: #7122
+#7126 := [monotonicity #7123]: #7125
+#7133 := [trans #7126 #7131]: #7132
+#7143 := [monotonicity #7133 #7140]: #7142
+#7149 := [monotonicity #7143]: #7148
+#7153 := [trans #7149 #7151]: #7152
+#7146 := [quant-inst]: #7145
+#7154 := [mp #7146 #7153]: #7144
+#7594 := [unit-resolution #7154 #7593]: #7141
+#7595 := [unit-resolution #7594 #7592 #7586]: #7129
+#7632 := [th-lemma #7871 #7579 #7595 #7577 #7576 #7858 #7857]: false
+#7628 := [lemma #7632]: #7627
+#7706 := [unit-resolution #7628 #7673 #7671 #7670 #7593 #7587 #7705 #7575]: #7316
+#7709 := [mp #7706 #7711]: #6130
+#7713 := (or #7205 #7220)
+#7712 := [hypothesis]: #4314
+#7225 := (or #4319 #2335 #7205 #7220)
+#7221 := (or #7205 #2335 #7220)
+#7226 := (or #4319 #7221)
+#7233 := (iff #7226 #7225)
+#7222 := (or #2335 #7205 #7220)
+#7228 := (or #4319 #7222)
+#7231 := (iff #7228 #7225)
+#7232 := [rewrite]: #7231
+#7229 := (iff #7226 #7228)
+#7223 := (iff #7221 #7222)
+#7224 := [rewrite]: #7223
+#7230 := [monotonicity #7224]: #7229
+#7234 := [trans #7230 #7232]: #7233
+#7227 := [quant-inst]: #7226
+#7235 := [mp #7227 #7234]: #7225
+#7714 := [unit-resolution #7235 #7712 #7587]: #7713
+#7715 := [unit-resolution #7714 #7709]: #7220
+#7716 := [th-lemma #7715 #7673 #7671 #7670]: false
+#7761 := [lemma #7716]: #7717
+#16979 := [unit-resolution #7761 #9187]: #17049
+#17090 := [unit-resolution #16979 #10785 #17666 #13581 #10788]: #17073
+#16348 := [unit-resolution #17090 #25699]: #17077
+#17046 := [unit-resolution #16348 #17052 #7658]: false
+#16349 := [lemma #17046]: #3494
+#5169 := (uf_6 uf_23 ?x75!20)
+#5170 := (= uf_8 #5169)
+#21788 := (uf_6 #10323 ?x75!20)
+#20832 := (= #21788 #5169)
+#20857 := (= #5169 #21788)
+#14425 := (= uf_23 #10323)
+#14423 := (= #194 #10323)
+#14424 := [symm #13577]: #14423
+#14426 := [trans #13581 #14424]: #14425
+#20702 := [monotonicity #14426]: #20857
+#20877 := [symm #20702]: #20832
+#21791 := (= uf_8 #21788)
+#6014 := (uf_6 uf_15 ?x75!20)
+#6015 := (= uf_8 #6014)
+#21786 := (= ?x75!20 #9695)
+#21794 := (ite #21786 #3895 #6015)
+#21797 := (iff #21791 #21794)
+#19678 := (or #4987 #21797)
+#21787 := (ite #21786 #4958 #6015)
+#21789 := (= #21788 uf_8)
+#21790 := (iff #21789 #21787)
+#19676 := (or #4987 #21790)
+#19311 := (iff #19676 #19678)
+#19682 := (iff #19678 #19678)
+#19685 := [rewrite]: #19682
+#21798 := (iff #21790 #21797)
+#21795 := (iff #21787 #21794)
+#21796 := [monotonicity #4971]: #21795
+#21792 := (iff #21789 #21791)
+#21793 := [rewrite]: #21792
+#21799 := [monotonicity #21793 #21796]: #21798
+#19681 := [monotonicity #21799]: #19311
+#19733 := [trans #19681 #19685]: #19311
+#19684 := [quant-inst]: #19676
+#19731 := [mp #19684 #19733]: #19678
+#20449 := [unit-resolution #19731 #4222]: #21797
+#15125 := (uf_1 #9695 ?x75!20)
+#15126 := (uf_10 #15125)
+#19741 := (<= #15126 0::int)
+#4781 := (* -1::int #4740)
+#5008 := (+ #188 #4781)
+#5009 := (>= #5008 0::int)
+#9232 := (or #4449 #5009)
+#7564 := [quant-inst]: #9232
+#9311 := [unit-resolution #7564 #10788]: #5009
+#11895 := (uf_24 #9695)
+#10002 := (* -1::int #11895)
+#14620 := (+ #2355 #10002)
+#15146 := (<= #14620 0::int)
+#14621 := (uf_6 uf_23 #9695)
+#14622 := (= uf_8 #14621)
+#21303 := (= #3894 #14621)
+#21293 := (= #14621 #3894)
+#21294 := [monotonicity #13581 #10708]: #21293
+#21304 := [symm #21294]: #21303
+#21305 := [trans #7677 #21304]: #14622
+#15158 := (* -1::int #15126)
+#15159 := (+ #10002 #15158)
+#15160 := (+ #2355 #15159)
+#15161 := (= #15160 0::int)
+#23339 := (<= #15160 0::int)
+#5042 := (<= #5008 0::int)
+#10190 := (not #4741)
+#10191 := (or #10190 #5042)
+#10192 := [th-lemma]: #10191
+#17097 := [unit-resolution #10192 #10729]: #5042
+#10025 := (+ #4740 #10002)
+#10040 := (<= #10025 0::int)
+#9964 := (= #4740 #11895)
+#17098 := (= #11895 #4740)
+#17107 := [monotonicity #10708]: #17098
+#17108 := [symm #17107]: #9964
+#17109 := (not #9964)
+#17110 := (or #17109 #10040)
+#17111 := [th-lemma]: #17110
+#17112 := [unit-resolution #17111 #17108]: #10040
+#5826 := (uf_1 uf_22 ?x75!20)
+#5827 := (uf_10 #5826)
+#23569 := (+ #5827 #15158)
+#23570 := (<= #23569 0::int)
+#23568 := (= #5827 #15126)
+#20561 := (= #5826 #15125)
+#25948 := (= #15125 #5826)
+#25949 := [monotonicity #10708]: #25948
+#20537 := [symm #25949]: #20561
+#20580 := [monotonicity #20537]: #23568
+#25953 := (not #23568)
+#25961 := (or #25953 #23570)
+#25962 := [th-lemma]: #25961
+#20545 := [unit-resolution #25962 #20580]: #23570
+#5852 := (+ #2356 #5827)
+#5853 := (+ #188 #5852)
+#23301 := (>= #5853 0::int)
+#20066 := [hypothesis]: #4498
+#4125 := (or #4495 #2368)
+#4127 := [def-axiom]: #4125
+#20064 := [unit-resolution #4127 #20066]: #2368
+#29068 := (or #23301 #2367)
+#4860 := (>= #188 0::int)
+#4051 := (or #4579 #4306)
+#4047 := [def-axiom]: #4051
+#10596 := [unit-resolution #4047 #5496]: #4306
+#9276 := (or #4311 #4860)
+#9277 := [quant-inst]: #9276
+#12530 := [unit-resolution #9277 #10596]: #4860
+#25950 := (= #15126 #5827)
+#25951 := [monotonicity #25949]: #25950
+#25952 := [symm #25951]: #23568
+#25963 := [unit-resolution #25962 #25952]: #23570
+#23340 := (>= #15160 0::int)
+#10021 := (>= #10025 0::int)
+#25933 := (or #17109 #10021)
+#25934 := [th-lemma]: #25933
+#25935 := [unit-resolution #25934 #17108]: #10021
+#23571 := (>= #23569 0::int)
+#25954 := (or #25953 #23571)
+#25955 := [th-lemma]: #25954
+#25956 := [unit-resolution #25955 #25952]: #23571
+#23300 := (<= #5853 0::int)
+#25968 := (not #23301)
+#25609 := [hypothesis]: #25968
+#29059 := (or #23300 #23301)
+#29062 := [th-lemma]: #29059
+#29061 := [unit-resolution #29062 #25609]: #23300
+#25957 := (not #23571)
+#25944 := (not #23300)
+#8759 := (not #5009)
+#25942 := (not #10021)
+#25958 := (or #23340 #25942 #8759 #25944 #25957)
+#25959 := [th-lemma]: #25958
+#29063 := [unit-resolution #25959 #29061 #25956 #25935 #9311]: #23340
+#24500 := [hypothesis]: #2368
+#5831 := (* -1::int #5827)
+#5835 := (+ uf_9 #5831)
+#5836 := (<= #5835 0::int)
+#25729 := (or #23301 #5836)
+#23313 := (not #5836)
+#25608 := [hypothesis]: #23313
+#5856 := (= #5853 0::int)
+#25937 := (not #5856)
+#25964 := (or #25937 #23301)
+#25965 := [th-lemma]: #25964
+#25722 := [unit-resolution #25965 #25609]: #25937
+#5775 := (uf_4 uf_14 ?x75!20)
+#5810 := (* -1::int #5775)
+#5845 := (+ #5810 #5827)
+#5846 := (+ #188 #5845)
+#5847 := (>= #5846 0::int)
+#23316 := (not #5847)
+#5811 := (+ #2355 #5810)
+#5812 := (<= #5811 0::int)
+#23280 := (or #4449 #5812)
+#5802 := (+ #5775 #2356)
+#5803 := (>= #5802 0::int)
+#23281 := (or #4449 #5803)
+#23283 := (iff #23281 #23280)
+#23285 := (iff #23280 #23280)
+#23286 := [rewrite]: #23285
+#5815 := (iff #5803 #5812)
+#5804 := (+ #2356 #5775)
+#5807 := (>= #5804 0::int)
+#5813 := (iff #5807 #5812)
+#5814 := [rewrite]: #5813
+#5808 := (iff #5803 #5807)
+#5805 := (= #5802 #5804)
+#5806 := [rewrite]: #5805
+#5809 := [monotonicity #5806]: #5808
+#5816 := [trans #5809 #5814]: #5815
+#23284 := [monotonicity #5816]: #23283
+#23287 := [trans #23284 #23286]: #23283
+#23282 := [quant-inst]: #23281
+#23288 := [mp #23282 #23287]: #23280
+#25723 := [unit-resolution #23288 #10788]: #5812
+#25724 := (not #5812)
+#25725 := (or #23301 #23316 #25724)
+#25726 := [th-lemma]: #25725
+#25721 := [unit-resolution #25726 #25609 #25723]: #23316
+#5859 := (or #5836 #5847 #5856)
+#23289 := (or #4441 #5836 #5847 #5856)
+#5828 := (+ #5827 #2356)
+#5829 := (+ #188 #5828)
+#5830 := (= #5829 0::int)
+#5832 := (+ #1455 #5831)
+#5833 := (+ #5775 #5832)
+#5834 := (<= #5833 0::int)
+#5837 := (or #5836 #5834 #5830)
+#23290 := (or #4441 #5837)
+#23297 := (iff #23290 #23289)
+#23292 := (or #4441 #5859)
+#23295 := (iff #23292 #23289)
+#23296 := [rewrite]: #23295
+#23293 := (iff #23290 #23292)
+#5860 := (iff #5837 #5859)
+#5857 := (iff #5830 #5856)
+#5854 := (= #5829 #5853)
+#5855 := [rewrite]: #5854
+#5858 := [monotonicity #5855]: #5857
+#5850 := (iff #5834 #5847)
+#5838 := (+ #5775 #5831)
+#5839 := (+ #1455 #5838)
+#5842 := (<= #5839 0::int)
+#5848 := (iff #5842 #5847)
+#5849 := [rewrite]: #5848
+#5843 := (iff #5834 #5842)
+#5840 := (= #5833 #5839)
+#5841 := [rewrite]: #5840
+#5844 := [monotonicity #5841]: #5843
+#5851 := [trans #5844 #5849]: #5850
+#5861 := [monotonicity #5851 #5858]: #5860
+#23294 := [monotonicity #5861]: #23293
+#23298 := [trans #23294 #23296]: #23297
+#23291 := [quant-inst]: #23290
+#23299 := [mp #23291 #23298]: #23289
+#25727 := [unit-resolution #23299 #10785]: #5859
+#25728 := [unit-resolution #25727 #25721 #25722 #25608]: false
+#25730 := [lemma #25728]: #25729
+#29064 := [unit-resolution #25730 #25609]: #5836
+#29069 := [th-lemma #29064 #24500 #29063 #17112 #17097 #25963 #12530]: false
+#29071 := [lemma #29069]: #29068
+#20448 := [unit-resolution #29071 #20064]: #23301
+#25969 := (not #23570)
+#8760 := (not #5042)
+#25967 := (not #10040)
+#25970 := (or #23339 #25967 #8760 #25968 #25969)
+#25971 := [th-lemma]: #25970
+#20530 := [unit-resolution #25971 #20448 #20545 #17112 #17097]: #23339
+#20756 := [unit-resolution #25955 #20580]: #23571
+#5878 := (or #5836 #5847)
+#5881 := (not #5878)
+#5780 := (= #2355 #5775)
+#20062 := (not #5780)
+#24414 := (>= #5811 0::int)
+#24509 := (not #24414)
+#4128 := (or #4495 #2937)
+#4126 := [def-axiom]: #4128
+#20016 := [unit-resolution #4126 #20066]: #2937
+#4012 := (or #4495 #4487)
+#4013 := [def-axiom]: #4012
+#20068 := [unit-resolution #4013 #20066]: #4487
+#23167 := (or #24509 #4492 #2934 #2367)
+#6043 := (?x47!7 ?x75!20)
+#6048 := (uf_1 #6043 ?x75!20)
+#24986 := (uf_2 #6048)
+#25837 := (uf_6 uf_15 #24986)
+#25838 := (= uf_8 #25837)
+#21703 := (= #9695 #24986)
+#22526 := (ite #21703 #3895 #25838)
+#23044 := (not #22526)
+#21277 := (uf_6 #10323 #24986)
+#21622 := (= uf_8 #21277)
+#22242 := (iff #21622 #22526)
+#22524 := (or #4987 #22242)
+#21246 := (= #24986 #9695)
+#21220 := (ite #21246 #4958 #25838)
+#21600 := (= #21277 uf_8)
+#21601 := (iff #21600 #21220)
+#23024 := (or #4987 #21601)
+#23028 := (iff #23024 #22524)
+#23042 := (iff #22524 #22524)
+#23043 := [rewrite]: #23042
+#22533 := (iff #21601 #22242)
+#22529 := (iff #21220 #22526)
+#22515 := (iff #21246 #21703)
+#22520 := [rewrite]: #22515
+#22530 := [monotonicity #22520 #4971]: #22529
+#21227 := (iff #21600 #21622)
+#21608 := [rewrite]: #21227
+#22592 := [monotonicity #21608 #22530]: #22533
+#23029 := [monotonicity #22592]: #23028
+#23041 := [trans #23029 #23043]: #23028
+#23025 := [quant-inst]: #23024
+#22593 := [mp #23025 #23041]: #22524
+#23122 := [unit-resolution #22593 #4222]: #22242
+#23057 := (not #21622)
+#24996 := (uf_6 uf_23 #24986)
+#24997 := (= uf_8 #24996)
+#24998 := (not #24997)
+#23123 := (iff #24998 #23057)
+#23153 := (iff #24997 #21622)
+#23146 := (iff #21622 #24997)
+#23151 := (= #21277 #24996)
+#23149 := [monotonicity #13583]: #23151
+#23152 := [monotonicity #23149]: #23146
+#23127 := [symm #23152]: #23153
+#23124 := [monotonicity #23127]: #23123
+#24506 := [hypothesis]: #24414
+#6049 := (uf_10 #6048)
+#6050 := (* -1::int #6049)
+#6044 := (uf_4 uf_14 #6043)
+#6045 := (* -1::int #6044)
+#6051 := (+ #6045 #6050)
+#6052 := (+ #5775 #6051)
+#18721 := (>= #6052 0::int)
+#6053 := (= #6052 0::int)
+#6055 := (uf_6 uf_15 #6043)
+#6056 := (= uf_8 #6055)
+#6057 := (not #6056)
+#6054 := (not #6053)
+#6046 := (+ #5775 #6045)
+#6047 := (<= #6046 0::int)
+#6063 := (or #6047 #6054 #6057)
+#6066 := (not #6063)
+#6060 := (+ uf_9 #5810)
+#6061 := (<= #6060 0::int)
+#24508 := (not #6061)
+#24510 := (or #24508 #24509 #2367)
+#24505 := [hypothesis]: #6061
+#24507 := [th-lemma #24506 #24505 #24500]: false
+#24511 := [lemma #24507]: #24510
+#23125 := [unit-resolution #24511 #24506 #24500]: #24508
+#23139 := (or #6061 #6066)
+#23138 := [hypothesis]: #2937
+#19063 := (or #4344 #2934 #6061 #6066)
+#6058 := (or #6057 #6054 #6047)
+#6059 := (not #6058)
+#6062 := (or #2369 #6061 #6059)
+#19066 := (or #4344 #6062)
+#18390 := (iff #19066 #19063)
+#6069 := (or #2934 #6061 #6066)
+#19050 := (or #4344 #6069)
+#19090 := (iff #19050 #19063)
+#19045 := [rewrite]: #19090
+#19051 := (iff #19066 #19050)
+#6070 := (iff #6062 #6069)
+#6067 := (iff #6059 #6066)
+#6064 := (iff #6058 #6063)
+#6065 := [rewrite]: #6064
+#6068 := [monotonicity #6065]: #6067
+#6071 := [monotonicity #2936 #6068]: #6070
+#19061 := [monotonicity #6071]: #19051
+#18720 := [trans #19061 #19045]: #18390
+#18371 := [quant-inst]: #19066
+#19065 := [mp #18371 #18720]: #19063
+#23137 := [unit-resolution #19065 #9243 #23138]: #23139
+#23140 := [unit-resolution #23137 #23125]: #6066
+#19081 := (or #6063 #6053)
+#12850 := [def-axiom]: #19081
+#23135 := [unit-resolution #12850 #23140]: #6053
+#23141 := (or #6054 #18721)
+#23143 := [th-lemma]: #23141
+#23144 := [unit-resolution #23143 #23135]: #18721
+#25978 := [hypothesis]: #4487
+#23633 := (<= #6052 0::int)
+#23142 := (or #6054 #23633)
+#23145 := [th-lemma]: #23142
+#23147 := [unit-resolution #23145 #23135]: #23633
+#19055 := (not #6047)
+#18317 := (or #6063 #19055)
+#19075 := [def-axiom]: #18317
+#23148 := [unit-resolution #19075 #23140]: #19055
+#30651 := (not #18721)
+#30650 := (not #23633)
+#30652 := (or #24998 #6047 #30650 #4492 #30651 #24509)
+#28637 := (uf_1 #24986 ?x75!20)
+#28638 := (uf_10 #28637)
+#28651 := (* -1::int #28638)
+#24990 := (uf_24 #24986)
+#24991 := (* -1::int #24990)
+#28652 := (+ #24991 #28651)
+#28653 := (+ #2355 #28652)
+#28682 := (>= #28653 0::int)
+#28654 := (= #28653 0::int)
+#19910 := (uf_3 #15125)
+#22479 := (uf_1 #24986 #19910)
+#22480 := (uf_10 #22479)
+#22498 := (* -1::int #22480)
+#22603 := (+ #22498 #24991)
+#21494 := (uf_24 #19910)
+#22604 := (+ #21494 #22603)
+#30636 := (= #22604 0::int)
+#30564 := [hypothesis]: #23633
+#29534 := [hypothesis]: #18721
+#29010 := (+ #6049 #28651)
+#21152 := (<= #29010 0::int)
+#21012 := (= #6049 #28638)
+#30043 := (= #6048 #28637)
+#24987 := (= #6043 #24986)
+#20827 := (or #7310 #24987)
+#20849 := [quant-inst]: #20827
+#30089 := [unit-resolution #20849 #4208]: #24987
+#30044 := [monotonicity #30089]: #30043
+#30097 := [monotonicity #30044]: #21012
+#30102 := (not #21012)
+#30581 := (or #30102 #21152)
+#30588 := [th-lemma]: #30581
+#30589 := [unit-resolution #30588 #30097]: #21152
+#29012 := (>= #29010 0::int)
+#30590 := (or #30102 #29012)
+#30591 := [th-lemma]: #30590
+#30592 := [unit-resolution #30591 #30097]: #29012
+#19879 := (+ #22480 #28651)
+#21287 := (<= #19879 0::int)
+#21209 := (= #22480 #28638)
+#30596 := (= #22479 #28637)
+#30594 := (= #19910 ?x75!20)
+#19950 := (= ?x75!20 #19910)
+#19896 := (or #8139 #19950)
+#19953 := [quant-inst]: #19896
+#30593 := [unit-resolution #19953 #4202]: #19950
+#30595 := [symm #30593]: #30594
+#30597 := [monotonicity #30595]: #30596
+#30598 := [monotonicity #30597]: #21209
+#30599 := (not #21209)
+#30600 := (or #30599 #21287)
+#30601 := [th-lemma]: #30600
+#30602 := [unit-resolution #30601 #30598]: #21287
+#20127 := (>= #19879 0::int)
+#30603 := (or #30599 #20127)
+#30604 := [th-lemma]: #30603
+#30605 := [unit-resolution #30604 #30598]: #20127
+#22047 := (* -1::int #21494)
+#20392 := (+ #2355 #22047)
+#20387 := (<= #20392 0::int)
+#19773 := (= #2355 #21494)
+#30606 := (= #21494 #2355)
+#30607 := [monotonicity #30595]: #30606
+#30608 := [symm #30607]: #19773
+#30609 := (not #19773)
+#30610 := (or #30609 #20387)
+#30611 := [th-lemma]: #30610
+#30612 := [unit-resolution #30611 #30608]: #20387
+#20393 := (>= #20392 0::int)
+#30613 := (or #30609 #20393)
+#30614 := [th-lemma]: #30613
+#30615 := [unit-resolution #30614 #30608]: #20393
+#25833 := (uf_4 uf_14 #24986)
+#25834 := (* -1::int #25833)
+#21068 := (+ #6044 #25834)
+#21067 := (<= #21068 0::int)
+#21078 := (= #6044 #25833)
+#30618 := (= #25833 #6044)
+#30616 := (= #24986 #6043)
+#30617 := [symm #30089]: #30616
+#30619 := [monotonicity #30617]: #30618
+#30620 := [symm #30619]: #21078
+#30621 := (not #21078)
+#30622 := (or #30621 #21067)
+#30623 := [th-lemma]: #30622
+#30624 := [unit-resolution #30623 #30620]: #21067
+#21183 := (>= #21068 0::int)
+#30625 := (or #30621 #21183)
+#30626 := [th-lemma]: #30625
+#30627 := [unit-resolution #30626 #30620]: #21183
+#28762 := (+ #24990 #25834)
+#28763 := (<= #28762 0::int)
+#22244 := (or #4449 #28763)
+#28754 := (+ #25833 #24991)
+#28755 := (>= #28754 0::int)
+#22245 := (or #4449 #28755)
+#22246 := (iff #22245 #22244)
+#22240 := (iff #22244 #22244)
+#22286 := [rewrite]: #22240
+#28766 := (iff #28755 #28763)
+#28756 := (+ #24991 #25833)
+#28759 := (>= #28756 0::int)
+#28764 := (iff #28759 #28763)
+#28765 := [rewrite]: #28764
+#28760 := (iff #28755 #28759)
+#28757 := (= #28754 #28756)
+#28758 := [rewrite]: #28757
+#28761 := [monotonicity #28758]: #28760
+#28767 := [trans #28761 #28765]: #28766
+#22285 := [monotonicity #28767]: #22246
+#22287 := [trans #22285 #22286]: #22246
+#22187 := [quant-inst]: #22245
+#22288 := [mp #22187 #22287]: #22244
+#30628 := [unit-resolution #22288 #10788]: #28763
+#30563 := (>= #28762 0::int)
+#28732 := (= #24990 #25833)
+#30629 := [hypothesis]: #24997
+#28738 := (or #24998 #28732)
+#22151 := (or #4458 #24998 #28732)
+#28728 := (= #25833 #24990)
+#28729 := (or #28728 #24998)
+#22180 := (or #4458 #28729)
+#22189 := (iff #22180 #22151)
+#22183 := (or #4458 #28738)
+#22186 := (iff #22183 #22151)
+#22188 := [rewrite]: #22186
+#22179 := (iff #22180 #22183)
+#28741 := (iff #28729 #28738)
+#28735 := (or #28732 #24998)
+#28739 := (iff #28735 #28738)
+#28740 := [rewrite]: #28739
+#28736 := (iff #28729 #28735)
+#28733 := (iff #28728 #28732)
+#28734 := [rewrite]: #28733
+#28737 := [monotonicity #28734]: #28736
+#28742 := [trans #28737 #28740]: #28741
+#22185 := [monotonicity #28742]: #22179
+#22184 := [trans #22185 #22188]: #22189
+#22154 := [quant-inst]: #22180
+#22243 := [mp #22154 #22184]: #22151
+#30630 := [unit-resolution #22243 #25699]: #28738
+#30631 := [unit-resolution #30630 #30629]: #28732
+#30632 := (not #28732)
+#30633 := (or #30632 #30563)
+#30634 := [th-lemma]: #30633
+#30635 := [unit-resolution #30634 #30631]: #30563
+#30637 := [th-lemma #30635 #30628 #30627 #30624 #30615 #30612 #30605 #30602 #30592 #30589 #29534 #30564 #24506 #25723]: #30636
+#30640 := (= #28653 #22604)
+#30638 := (= #22604 #28653)
+#30639 := [th-lemma #30615 #30612 #30605 #30602]: #30638
+#30641 := [symm #30639]: #30640
+#30642 := [trans #30641 #30637]: #28654
+#28659 := (not #28654)
+#30643 := (or #28659 #28682)
+#30644 := [th-lemma]: #30643
+#30645 := [unit-resolution #30644 #30642]: #28682
+#16155 := (+ #2355 #24991)
+#15436 := (<= #16155 0::int)
+#28665 := (or #15436 #24998 #28659)
+#21333 := (or #4492 #15436 #24998 #28659)
+#28639 := (+ #2356 #28638)
+#28640 := (+ #24990 #28639)
+#28641 := (= #28640 0::int)
+#28642 := (not #28641)
+#15907 := (+ #24990 #2356)
+#16051 := (>= #15907 0::int)
+#28643 := (or #24998 #16051 #28642)
+#21024 := (or #4492 #28643)
+#20975 := (iff #21024 #21333)
+#21318 := (or #4492 #28665)
+#21314 := (iff #21318 #21333)
+#21310 := [rewrite]: #21314
+#21153 := (iff #21024 #21318)
+#28668 := (iff #28643 #28665)
+#28662 := (or #24998 #15436 #28659)
+#28666 := (iff #28662 #28665)
+#28667 := [rewrite]: #28666
+#28663 := (iff #28643 #28662)
+#28660 := (iff #28642 #28659)
+#28657 := (iff #28641 #28654)
+#28644 := (+ #24990 #28638)
+#28645 := (+ #2356 #28644)
+#28648 := (= #28645 0::int)
+#28655 := (iff #28648 #28654)
+#28656 := [rewrite]: #28655
+#28649 := (iff #28641 #28648)
+#28646 := (= #28640 #28645)
+#28647 := [rewrite]: #28646
+#28650 := [monotonicity #28647]: #28649
+#28658 := [trans #28650 #28656]: #28657
+#28661 := [monotonicity #28658]: #28660
+#15965 := (iff #16051 #15436)
+#13744 := (+ #2356 #24990)
+#15070 := (>= #13744 0::int)
+#14692 := (iff #15070 #15436)
+#16264 := [rewrite]: #14692
+#16123 := (iff #16051 #15070)
+#16156 := (= #15907 #13744)
+#15494 := [rewrite]: #16156
+#15349 := [monotonicity #15494]: #16123
+#16187 := [trans #15349 #16264]: #15965
+#28664 := [monotonicity #16187 #28661]: #28663
+#28669 := [trans #28664 #28667]: #28668
+#21320 := [monotonicity #28669]: #21153
+#21319 := [trans #21320 #21310]: #20975
+#21323 := [quant-inst]: #21024
+#20612 := [mp #21323 #21319]: #21333
+#30646 := [unit-resolution #20612 #25978]: #28665
+#30647 := [unit-resolution #30646 #30642 #30629]: #15436
+#30648 := [hypothesis]: #19055
+#30649 := [th-lemma #30648 #30589 #30564 #30647 #30645]: false
+#30653 := [lemma #30649]: #30652
+#23150 := [unit-resolution #30653 #23148 #23147 #25978 #23144 #24506]: #24998
+#23131 := [mp #23150 #23124]: #23057
+#23056 := (not #22242)
+#23047 := (or #23056 #21622 #23044)
+#23051 := [def-axiom]: #23047
+#23132 := [unit-resolution #23051 #23131 #23122]: #23044
+#23045 := (not #21703)
+#23130 := (or #22526 #23045)
+#3924 := (not #3895)
+#23054 := (or #22526 #23045 #3924)
+#23050 := [def-axiom]: #23054
+#23157 := [unit-resolution #23050 #7677]: #23130
+#23158 := [unit-resolution #23157 #23132]: #23045
+#23164 := (or #22526 #21703)
+#23162 := (= #6055 #25837)
+#23129 := (= #25837 #6055)
+#23156 := [monotonicity #30617]: #23129
+#23128 := [symm #23156]: #23162
+#19077 := (or #6063 #6056)
+#19078 := [def-axiom]: #19077
+#23133 := [unit-resolution #19078 #23140]: #6056
+#23163 := [trans #23133 #23128]: #25838
+#25839 := (not #25838)
+#23055 := (or #22526 #21703 #25839)
+#23053 := [def-axiom]: #23055
+#23165 := [unit-resolution #23053 #23163]: #23164
+#23169 := [unit-resolution #23165 #23158 #23132]: false
+#23168 := [lemma #23169]: #23167
+#19986 := [unit-resolution #23168 #20068 #20016 #20064]: #24509
+#20023 := (or #20062 #24414)
+#20453 := [th-lemma]: #20023
+#20441 := [unit-resolution #20453 #19986]: #20062
+#5884 := (or #5780 #5881)
+#18349 := (or #4433 #5780 #5881)
+#5875 := (or #5836 #5834)
+#5876 := (not #5875)
+#5776 := (= #5775 #2355)
+#5877 := (or #5776 #5876)
+#18388 := (or #4433 #5877)
+#18375 := (iff #18388 #18349)
+#18374 := (or #4433 #5884)
+#18380 := (iff #18374 #18349)
+#18414 := [rewrite]: #18380
+#18370 := (iff #18388 #18374)
+#5885 := (iff #5877 #5884)
+#5882 := (iff #5876 #5881)
+#5879 := (iff #5875 #5878)
+#5880 := [monotonicity #5851]: #5879
+#5883 := [monotonicity #5880]: #5882
+#5781 := (iff #5776 #5780)
+#5782 := [rewrite]: #5781
+#5886 := [monotonicity #5782 #5883]: #5885
+#18411 := [monotonicity #5886]: #18370
+#18381 := [trans #18411 #18414]: #18375
+#18415 := [quant-inst]: #18388
+#18379 := [mp #18415 #18381]: #18349
+#20748 := [unit-resolution #18379 #10727]: #5884
+#20750 := [unit-resolution #20748 #20441]: #5881
+#18373 := (or #5878 #23313)
+#18372 := [def-axiom]: #18373
+#20751 := [unit-resolution #18372 #20750]: #23313
+#18384 := (or #5878 #23316)
+#18417 := [def-axiom]: #18384
+#20753 := [unit-resolution #18417 #20750]: #23316
+#20775 := [unit-resolution #25727 #20753 #20751]: #5856
+#25938 := (or #25937 #23300)
+#25939 := [th-lemma]: #25938
+#20664 := [unit-resolution #25939 #20775]: #23300
+#20698 := [unit-resolution #25959 #20664 #20756 #25935 #9311]: #23340
+#25974 := (not #23340)
+#25973 := (not #23339)
+#25975 := (or #15161 #25973 #25974)
+#25976 := [th-lemma]: #25975
+#20700 := [unit-resolution #25976 #20698 #20530]: #15161
+#15166 := (not #15161)
+#14623 := (not #14622)
+#15169 := (or #14623 #15146 #15166)
+#23321 := (or #4492 #14623 #15146 #15166)
+#15133 := (+ #2356 #15126)
+#15134 := (+ #11895 #15133)
+#15135 := (= #15134 0::int)
+#15136 := (not #15135)
+#15137 := (+ #11895 #2356)
+#15138 := (>= #15137 0::int)
+#15139 := (or #14623 #15138 #15136)
+#23322 := (or #4492 #15139)
+#23336 := (iff #23322 #23321)
+#23331 := (or #4492 #15169)
+#23334 := (iff #23331 #23321)
+#23335 := [rewrite]: #23334
+#23332 := (iff #23322 #23331)
+#15170 := (iff #15139 #15169)
+#15167 := (iff #15136 #15166)
+#15164 := (iff #15135 #15161)
+#15151 := (+ #11895 #15126)
+#15152 := (+ #2356 #15151)
+#15155 := (= #15152 0::int)
+#15162 := (iff #15155 #15161)
+#15163 := [rewrite]: #15162
+#15156 := (iff #15135 #15155)
+#15153 := (= #15134 #15152)
+#15154 := [rewrite]: #15153
+#15157 := [monotonicity #15154]: #15156
+#15165 := [trans #15157 #15163]: #15164
+#15168 := [monotonicity #15165]: #15167
+#15149 := (iff #15138 #15146)
+#15140 := (+ #2356 #11895)
+#15143 := (>= #15140 0::int)
+#15147 := (iff #15143 #15146)
+#15148 := [rewrite]: #15147
+#15144 := (iff #15138 #15143)
+#15141 := (= #15137 #15140)
+#15142 := [rewrite]: #15141
+#15145 := [monotonicity #15142]: #15144
+#15150 := [trans #15145 #15148]: #15149
+#15171 := [monotonicity #15150 #15168]: #15170
+#23333 := [monotonicity #15171]: #23332
+#23337 := [trans #23333 #23335]: #23336
+#23330 := [quant-inst]: #23322
+#23338 := [mp #23330 #23337]: #23321
+#20754 := [unit-resolution #23338 #20068]: #15169
+#20663 := [unit-resolution #20754 #20700 #21305]: #15146
+#25941 := (not #15146)
+#20620 := (or #19741 #25957 #25944 #25941 #25942 #8759)
+#20724 := [th-lemma]: #20620
+#20713 := [unit-resolution #20724 #20664 #25935 #20756 #20663 #9311]: #19741
+#19738 := (not #19741)
+#20001 := (or #10302 #19738 #21786)
+#19729 := (= #9695 ?x75!20)
+#19725 := (or #19729 #19738)
+#19974 := (or #10302 #19725)
+#19977 := (iff #19974 #20001)
+#19723 := (or #19738 #21786)
+#19976 := (or #10302 #19723)
+#19980 := (iff #19976 #20001)
+#19985 := [rewrite]: #19980
+#19981 := (iff #19974 #19976)
+#19759 := (iff #19725 #19723)
+#19727 := (or #21786 #19738)
+#19755 := (iff #19727 #19723)
+#19757 := [rewrite]: #19755
+#19728 := (iff #19725 #19727)
+#19742 := (iff #19729 #21786)
+#19724 := [rewrite]: #19742
+#19726 := [monotonicity #19724]: #19728
+#19753 := [trans #19726 #19757]: #19759
+#19982 := [monotonicity #19753]: #19981
+#19947 := [trans #19982 #19985]: #19977
+#20005 := [quant-inst]: #19974
+#19997 := [mp #20005 #19947]: #20001
+#20716 := [unit-resolution #19997 #4249 #20713]: #21786
+#19787 := (not #21786)
+#20752 := (or #21794 #19787)
+#19745 := (or #21794 #19787 #3924)
+#19739 := [def-axiom]: #19745
+#20774 := [unit-resolution #19739 #7677]: #20752
+#20858 := [unit-resolution #20774 #20716]: #21794
+#19746 := (not #21794)
+#19695 := (not #21797)
+#19694 := (or #19695 #21791 #19746)
+#19761 := [def-axiom]: #19694
+#20783 := [unit-resolution #19761 #20858 #20449]: #21791
+#20859 := [trans #20783 #20877]: #5170
+#5171 := (not #5170)
+#5786 := (or #5171 #5780)
+#18330 := (or #4458 #5171 #5780)
+#5779 := (or #5776 #5171)
+#18283 := (or #4458 #5779)
+#18352 := (iff #18283 #18330)
+#18337 := (or #4458 #5786)
+#18335 := (iff #18337 #18330)
+#18351 := [rewrite]: #18335
+#18336 := (iff #18283 #18337)
+#5789 := (iff #5779 #5786)
+#5783 := (or #5780 #5171)
+#5787 := (iff #5783 #5786)
+#5788 := [rewrite]: #5787
+#5784 := (iff #5779 #5783)
+#5785 := [monotonicity #5782]: #5784
+#5790 := [trans #5785 #5788]: #5789
+#18331 := [monotonicity #5790]: #18336
+#18358 := [trans #18331 #18351]: #18352
+#18350 := [quant-inst]: #18283
+#18412 := [mp #18350 #18358]: #18330
+#20455 := [unit-resolution #18412 #25699]: #5786
+#20452 := [unit-resolution #20455 #20441]: #5171
+#20896 := [unit-resolution #20452 #20859]: false
+#20973 := [lemma #20896]: #4495
+#4006 := (or #4504 #3499 #4498)
+#4021 := [def-axiom]: #4006
+#19204 := [unit-resolution #4021 #20973 #16349]: #4504
+#4017 := (or #4507 #4501)
+#4025 := [def-axiom]: #4017
+#19217 := [unit-resolution #4025 #19204]: #4507
+#11869 := (or #2283 #4458)
+#8633 := (uf_1 uf_22 ?x65!15)
+#8634 := (uf_10 #8633)
+#5075 := (* -1::int #2282)
+#8695 := (+ #5075 #8634)
+#8696 := (+ #188 #8695)
+#13182 := (<= #8696 0::int)
+#8699 := (= #8696 0::int)
+#8635 := (* -1::int #8634)
+#8639 := (+ uf_9 #8635)
+#8640 := (<= #8639 0::int)
+#13547 := (not #8640)
+#8579 := (uf_4 uf_14 ?x65!15)
+#8589 := (* -1::int #8579)
+#8655 := (+ #8589 #8634)
+#8656 := (+ #188 #8655)
+#8657 := (>= #8656 0::int)
+#8662 := (or #8640 #8657)
+#8665 := (not #8662)
+#8645 := (= #2282 #8579)
+#13653 := (not #8645)
+#8618 := (+ #2282 #8589)
+#13938 := (>= #8618 0::int)
+#14032 := (not #13938)
+#8826 := [hypothesis]: #2284
+#14033 := (or #14032 #2283)
+#14029 := [hypothesis]: #13938
+#8778 := (>= #8579 0::int)
+#13651 := (or #4311 #8778)
+#13643 := [quant-inst]: #13651
+#14030 := [unit-resolution #13643 #10596]: #8778
+#14031 := [th-lemma #8826 #14030 #14029]: false
+#14034 := [lemma #14031]: #14033
+#14041 := [unit-resolution #14034 #8826]: #14032
+#13631 := (or #13653 #13938)
+#13654 := [th-lemma]: #13631
+#11935 := [unit-resolution #13654 #14041]: #13653
+#13403 := (or #4433 #8645 #8665)
+#8636 := (+ #1455 #8635)
+#8637 := (+ #8579 #8636)
+#8638 := (<= #8637 0::int)
+#8641 := (or #8640 #8638)
+#8642 := (not #8641)
+#8643 := (= #8579 #2282)
+#8644 := (or #8643 #8642)
+#13406 := (or #4433 #8644)
+#13514 := (iff #13406 #13403)
+#8668 := (or #8645 #8665)
+#12773 := (or #4433 #8668)
+#13027 := (iff #12773 #13403)
+#13487 := [rewrite]: #13027
+#12976 := (iff #13406 #12773)
+#8669 := (iff #8644 #8668)
+#8666 := (iff #8642 #8665)
+#8663 := (iff #8641 #8662)
+#8660 := (iff #8638 #8657)
+#8648 := (+ #8579 #8635)
+#8649 := (+ #1455 #8648)
+#8652 := (<= #8649 0::int)
+#8658 := (iff #8652 #8657)
+#8659 := [rewrite]: #8658
+#8653 := (iff #8638 #8652)
+#8650 := (= #8637 #8649)
+#8651 := [rewrite]: #8650
+#8654 := [monotonicity #8651]: #8653
+#8661 := [trans #8654 #8659]: #8660
+#8664 := [monotonicity #8661]: #8663
+#8667 := [monotonicity #8664]: #8666
+#8646 := (iff #8643 #8645)
+#8647 := [rewrite]: #8646
+#8670 := [monotonicity #8647 #8667]: #8669
+#13475 := [monotonicity #8670]: #12976
+#13534 := [trans #13475 #13487]: #13514
+#12762 := [quant-inst]: #13406
+#13535 := [mp #12762 #13534]: #13403
+#11121 := [unit-resolution #13535 #10727 #11935]: #8665
+#13548 := (or #8662 #13547)
+#13558 := [def-axiom]: #13548
+#11762 := [unit-resolution #13558 #11121]: #13547
+#13559 := (not #8657)
+#13562 := (or #8662 #13559)
+#13563 := [def-axiom]: #13562
+#11759 := [unit-resolution #13563 #11121]: #13559
+#8702 := (or #8640 #8657 #8699)
+#13329 := (or #4441 #8640 #8657 #8699)
+#8691 := (+ #8634 #5075)
+#8692 := (+ #188 #8691)
+#8693 := (= #8692 0::int)
+#8694 := (or #8640 #8638 #8693)
+#13330 := (or #4441 #8694)
+#13187 := (iff #13330 #13329)
+#13332 := (or #4441 #8702)
+#13183 := (iff #13332 #13329)
+#13184 := [rewrite]: #13183
+#13355 := (iff #13330 #13332)
+#8703 := (iff #8694 #8702)
+#8700 := (iff #8693 #8699)
+#8697 := (= #8692 #8696)
+#8698 := [rewrite]: #8697
+#8701 := [monotonicity #8698]: #8700
+#8704 := [monotonicity #8661 #8701]: #8703
+#13107 := [monotonicity #8704]: #13355
+#13265 := [trans #13107 #13184]: #13187
+#13331 := [quant-inst]: #13330
+#13285 := [mp #13331 #13265]: #13329
+#14047 := [unit-resolution #13285 #10785]: #8702
+#11757 := [unit-resolution #14047 #11759 #11762]: #8699
+#14049 := (not #8699)
+#14050 := (or #14049 #13182)
+#14051 := [th-lemma]: #14050
+#11817 := [unit-resolution #14051 #11757]: #13182
+#13904 := (uf_1 #9695 ?x65!15)
+#13630 := (uf_10 #13904)
+#13902 := (* -1::int #13630)
+#13836 := (+ #8634 #13902)
+#14015 := (>= #13836 0::int)
+#13832 := (= #8634 #13630)
+#14026 := (= #13630 #8634)
+#14022 := (= #13904 #8633)
+#14023 := [monotonicity #10708]: #14022
+#14027 := [monotonicity #14023]: #14026
+#14028 := [symm #14027]: #13832
+#14035 := (not #13832)
+#14036 := (or #14035 #14015)
+#14037 := [th-lemma]: #14036
+#14038 := [unit-resolution #14037 #14028]: #14015
+#13835 := (>= #13630 0::int)
+#13660 := (<= #13630 0::int)
+#13692 := (not #13660)
+#13628 := (= ?x65!15 #9695)
+#13668 := (not #13628)
+#8269 := (uf_6 uf_15 ?x65!15)
+#8270 := (= uf_8 #8269)
+#13741 := (ite #13628 #3895 #8270)
+#13822 := (not #13741)
+#13691 := (uf_6 #10323 ?x65!15)
+#13734 := (= uf_8 #13691)
+#13768 := (iff #13734 #13741)
+#13775 := (or #4987 #13768)
+#13690 := (ite #13628 #4958 #8270)
+#13689 := (= #13691 uf_8)
+#13739 := (iff #13689 #13690)
+#13769 := (or #4987 #13739)
+#13699 := (iff #13769 #13775)
+#13700 := (iff #13775 #13775)
+#13746 := [rewrite]: #13700
+#13770 := (iff #13739 #13768)
+#13772 := (iff #13690 #13741)
+#13773 := [monotonicity #4971]: #13772
+#13738 := (iff #13689 #13734)
+#13740 := [rewrite]: #13738
+#13774 := [monotonicity #13740 #13773]: #13770
+#13776 := [monotonicity #13774]: #13699
+#13747 := [trans #13776 #13746]: #13699
+#13777 := [quant-inst]: #13769
+#13821 := [mp #13777 #13747]: #13775
+#14053 := [unit-resolution #13821 #4222]: #13768
+#13869 := (not #13734)
+#5078 := (uf_6 uf_23 ?x65!15)
+#5079 := (= uf_8 #5078)
+#5080 := (not #5079)
+#14062 := (iff #5080 #13869)
+#14060 := (iff #5079 #13734)
+#14058 := (iff #13734 #5079)
+#14056 := (= #13691 #5078)
+#14057 := [monotonicity #13583]: #14056
+#14059 := [monotonicity #14057]: #14058
+#14061 := [symm #14059]: #14060
+#14063 := [monotonicity #14061]: #14062
+#12807 := (or #4458 #5080 #8645)
+#12793 := (or #8643 #5080)
+#12815 := (or #4458 #12793)
+#12826 := (iff #12815 #12807)
+#12790 := (or #5080 #8645)
+#12845 := (or #4458 #12790)
+#12847 := (iff #12845 #12807)
+#12848 := [rewrite]: #12847
+#12846 := (iff #12815 #12845)
+#12791 := (iff #12793 #12790)
+#12794 := (or #8645 #5080)
+#12785 := (iff #12794 #12790)
+#12787 := [rewrite]: #12785
+#12788 := (iff #12793 #12794)
+#12789 := [monotonicity #8647]: #12788
+#12814 := [trans #12789 #12787]: #12791
+#12844 := [monotonicity #12814]: #12846
+#12827 := [trans #12844 #12848]: #12826
+#12816 := [quant-inst]: #12815
+#12828 := [mp #12816 #12827]: #12807
+#10280 := [unit-resolution #12828 #7708 #11935]: #5080
+#10395 := [mp #10280 #14063]: #13869
+#13829 := (not #13768)
+#13844 := (or #13829 #13734 #13822)
+#13874 := [def-axiom]: #13844
+#11835 := [unit-resolution #13874 #10395 #14053]: #13822
+#14066 := (or #13741 #13668)
+#13827 := (or #13741 #13668 #3924)
+#13840 := [def-axiom]: #13827
+#14067 := [unit-resolution #13840 #7677]: #14066
+#12190 := [unit-resolution #14067 #11835]: #13668
+#13657 := (or #13628 #13692)
+#14009 := (or #10302 #13628 #13692)
+#13626 := (= #9695 ?x65!15)
+#13627 := (or #13626 #13692)
+#14004 := (or #10302 #13627)
+#14021 := (iff #14004 #14009)
+#14011 := (or #10302 #13657)
+#14014 := (iff #14011 #14009)
+#14020 := [rewrite]: #14014
+#14012 := (iff #14004 #14011)
+#13742 := (iff #13627 #13657)
+#13642 := (iff #13626 #13628)
+#13640 := [rewrite]: #13642
+#13743 := [monotonicity #13640]: #13742
+#14013 := [monotonicity #13743]: #14012
+#14024 := [trans #14013 #14020]: #14021
+#14010 := [quant-inst]: #14004
+#14025 := [mp #14010 #14024]: #14009
+#14069 := [unit-resolution #14025 #4249]: #13657
+#12191 := [unit-resolution #14069 #12190]: #13692
+#14071 := (or #13835 #13660)
+#14072 := [th-lemma]: #14071
+#12192 := [unit-resolution #14072 #12191]: #13835
+#11148 := [th-lemma #12192 #14038 #8826 #11817 #12530]: false
+#11885 := [lemma #11148]: #11869
+#19815 := [unit-resolution #11885 #25699]: #2283
+#4090 := (or #4543 #4537)
+#4091 := [def-axiom]: #4090
+#19829 := [unit-resolution #4091 #25698]: #4537
+#19826 := (or #4540 #4534)
+#10106 := (uf_1 #9695 uf_11)
+#10107 := (uf_10 #10106)
+#10111 := (* -1::int #10107)
+#4883 := (uf_1 uf_22 uf_11)
+#4884 := (uf_10 #4883)
+#10686 := (+ #4884 #10111)
+#10690 := (>= #10686 0::int)
+#10685 := (= #4884 #10107)
+#10711 := (= #10107 #4884)
+#10709 := (= #10106 #4883)
+#10710 := [monotonicity #10708]: #10709
+#10712 := [monotonicity #10710]: #10711
+#10713 := [symm #10712]: #10685
+#10714 := (not #10685)
+#10715 := (or #10714 #10690)
+#10716 := [th-lemma]: #10715
+#10717 := [unit-resolution #10716 #10713]: #10690
+#3952 := (<= #108 0::int)
+#5799 := (or #1749 #3952)
+#5800 := [th-lemma]: #5799
+#6367 := [unit-resolution #5800 #5498]: #3952
+#4802 := (?x47!7 uf_22)
+#4803 := (uf_4 uf_14 #4802)
+#4804 := (* -1::int #4803)
+#4805 := (+ #188 #4804)
+#4806 := (<= #4805 0::int)
+#9262 := (not #4806)
+#4814 := (uf_6 uf_15 #4802)
+#4815 := (= uf_8 #4814)
+#4816 := (not #4815)
+#4807 := (uf_1 #4802 uf_22)
+#4808 := (uf_10 #4807)
+#4809 := (* -1::int #4808)
+#4810 := (+ #4804 #4809)
+#4811 := (+ #188 #4810)
+#4812 := (= #4811 0::int)
+#4813 := (not #4812)
+#4824 := (or #4806 #4813 #4816)
+#4827 := (not #4824)
+#4821 := (= uf_11 uf_22)
+#8243 := (not #4821)
+#10613 := [hypothesis]: #1492
+#10629 := (or #8243 #217 #10190)
+#10625 := (= #216 #108)
+#10621 := (= #188 #108)
+#4819 := (= uf_22 uf_11)
+#10614 := [hypothesis]: #4821
+#10615 := [symm #10614]: #4819
+#10622 := [monotonicity #10615]: #10621
+#10623 := (= #216 #188)
+#10616 := [hypothesis]: #4741
+#10620 := [symm #10616]: #10619
+#10617 := (= #216 #4740)
+#10618 := [monotonicity #10614]: #10617
+#10624 := [trans #10618 #10620]: #10623
+#10626 := [trans #10624 #10622]: #10625
+#10627 := [trans #10626 #5498]: #217
+#10628 := [unit-resolution #10613 #10627]: false
+#10630 := [lemma #10628]: #10629
+#10730 := [unit-resolution #10630 #10613 #10729]: #8243
+#10732 := (or #4821 #4827)
+#4053 := (or #4567 #1657)
+#4054 := [def-axiom]: #4053
+#10731 := [unit-resolution #4054 #10726]: #1657
+#8960 := (or #4344 #1656 #4821 #4827)
+#4817 := (or #4816 #4813 #4806)
+#4818 := (not #4817)
+#4820 := (or #4819 #1656 #4818)
+#8966 := (or #4344 #4820)
+#9267 := (iff #8966 #8960)
+#4833 := (or #1656 #4821 #4827)
+#9153 := (or #4344 #4833)
+#8906 := (iff #9153 #8960)
+#9205 := [rewrite]: #8906
+#9156 := (iff #8966 #9153)
+#4836 := (iff #4820 #4833)
+#4830 := (or #4821 #1656 #4827)
+#4834 := (iff #4830 #4833)
+#4835 := [rewrite]: #4834
+#4831 := (iff #4820 #4830)
+#4828 := (iff #4818 #4827)
+#4825 := (iff #4817 #4824)
+#4826 := [rewrite]: #4825
+#4829 := [monotonicity #4826]: #4828
+#4822 := (iff #4819 #4821)
+#4823 := [rewrite]: #4822
+#4832 := [monotonicity #4823 #4829]: #4831
+#4837 := [trans #4832 #4835]: #4836
+#9157 := [monotonicity #4837]: #9156
+#9268 := [trans #9157 #9205]: #9267
+#9217 := [quant-inst]: #8966
+#9238 := [mp #9217 #9268]: #8960
+#10733 := [unit-resolution #9238 #9243 #10731]: #10732
+#10734 := [unit-resolution #10733 #10730]: #4827
+#9269 := (or #4824 #9262)
+#9261 := [def-axiom]: #9269
+#10735 := [unit-resolution #9261 #10734]: #9262
+#6905 := (>= #4803 0::int)
+#10502 := (not #6905)
+#10503 := [hypothesis]: #10502
+#10442 := (or #4311 #6905)
+#10443 := [quant-inst]: #10442
+#10607 := [unit-resolution #10443 #10596 #10503]: false
+#10608 := [lemma #10607]: #6905
+#4888 := (* -1::int #4884)
+#4889 := (+ #1455 #4888)
+#4890 := (+ #108 #4889)
+#4891 := (<= #4890 0::int)
+#9338 := (not #4891)
+#4892 := (+ uf_9 #4888)
+#4893 := (<= #4892 0::int)
+#4927 := (or #4891 #4893)
+#4930 := (not #4927)
+#4925 := (= #108 #216)
+#10743 := (not #4925)
+#10744 := (iff #1492 #10743)
+#10741 := (iff #217 #4925)
+#10739 := (iff #4925 #217)
+#10738 := [commutativity]: #1490
+#10736 := (iff #4925 #788)
+#10737 := [monotonicity #5498]: #10736
+#10740 := [trans #10737 #10738]: #10739
+#10742 := [symm #10740]: #10741
+#10745 := [monotonicity #10742]: #10744
+#10746 := [mp #10613 #10745]: #10743
+#4933 := (or #4925 #4930)
+#9308 := (or #4433 #4925 #4930)
+#4923 := (or #4893 #4891)
+#4924 := (not #4923)
+#4926 := (or #4925 #4924)
+#9309 := (or #4433 #4926)
+#9334 := (iff #9309 #9308)
+#9329 := (or #4433 #4933)
+#9332 := (iff #9329 #9308)
+#9333 := [rewrite]: #9332
+#9330 := (iff #9309 #9329)
+#4934 := (iff #4926 #4933)
+#4931 := (iff #4924 #4930)
+#4928 := (iff #4923 #4927)
+#4929 := [rewrite]: #4928
+#4932 := [monotonicity #4929]: #4931
+#4935 := [monotonicity #4932]: #4934
+#9331 := [monotonicity #4935]: #9330
+#9335 := [trans #9331 #9333]: #9334
+#9310 := [quant-inst]: #9309
+#9336 := [mp #9310 #9335]: #9308
+#10747 := [unit-resolution #9336 #10727]: #4933
+#10748 := [unit-resolution #10747 #10746]: #4930
+#9321 := (or #4927 #9338)
+#9322 := [def-axiom]: #9321
+#10749 := [unit-resolution #9322 #10748]: #9338
+#10647 := (>= #10107 0::int)
+#9978 := (<= #10107 0::int)
+#9979 := (not #9978)
+#10042 := (= uf_11 #9695)
+#10207 := (not #10042)
+#10754 := (iff #8243 #10207)
+#10752 := (iff #4821 #10042)
+#10750 := (iff #10042 #4821)
+#10751 := [monotonicity #10708]: #10750
+#10753 := [symm #10751]: #10752
+#10755 := [monotonicity #10753]: #10754
+#10756 := [mp #10730 #10755]: #10207
+#10049 := (or #9979 #10042)
+#10397 := (or #10302 #9979 #10042)
+#10035 := (= #9695 uf_11)
+#10036 := (or #10035 #9979)
+#10418 := (or #10302 #10036)
+#10633 := (iff #10418 #10397)
+#10308 := (or #10302 #10049)
+#10631 := (iff #10308 #10397)
+#10632 := [rewrite]: #10631
+#10609 := (iff #10418 #10308)
+#10065 := (iff #10036 #10049)
+#10046 := (or #10042 #9979)
+#10050 := (iff #10046 #10049)
+#10051 := [rewrite]: #10050
+#10047 := (iff #10036 #10046)
+#10044 := (iff #10035 #10042)
+#10045 := [rewrite]: #10044
+#10048 := [monotonicity #10045]: #10047
+#10165 := [trans #10048 #10051]: #10065
+#10612 := [monotonicity #10165]: #10609
+#10634 := [trans #10612 #10632]: #10633
+#10413 := [quant-inst]: #10418
+#10635 := [mp #10413 #10634]: #10397
+#10757 := [unit-resolution #10635 #4249]: #10049
+#10758 := [unit-resolution #10757 #10756]: #9979
+#10759 := (or #10647 #9978)
+#10760 := [th-lemma]: #10759
+#10761 := [unit-resolution #10760 #10758]: #10647
+#10762 := [th-lemma #10761 #10749 #10608 #10735 #6367 #10717]: false
+#10763 := [lemma #10762]: #217
+#4100 := (or #4540 #1492 #4534)
+#4086 := [def-axiom]: #4100
+#19860 := [unit-resolution #4086 #10763]: #19826
+#19861 := [unit-resolution #19860 #19829]: #4534
+#4109 := (or #4531 #4525)
+#4093 := [def-axiom]: #4109
+#19854 := [unit-resolution #4093 #19861]: #4525
+#4106 := (or #4528 #2284 #4522)
+#4107 := [def-axiom]: #4106
+#19851 := [unit-resolution #4107 #19854 #19815]: #4522
+#4101 := (or #4519 #4513)
+#4103 := [def-axiom]: #4101
+#19863 := [unit-resolution #4103 #19851]: #4513
+#4123 := (or #4516 #3453 #4510)
+#4110 := [def-axiom]: #4123
+#19864 := [unit-resolution #4110 #19863]: #4513
+#19859 := [unit-resolution #19864 #19217]: #3453
+#4134 := (or #3448 #4133)
+#4135 := [def-axiom]: #4134
+#19869 := [unit-resolution #4135 #19859]: #4133
+#4148 := (or #3448 #2304)
+#3989 := [def-axiom]: #4148
+#19866 := [unit-resolution #3989 #19859]: #2304
+#3990 := (or #3448 #2307)
+#3991 := [def-axiom]: #3990
+#19868 := [unit-resolution #3991 #19859]: #2307
+#17736 := (or #3433 #2896 #2306)
+#12004 := [hypothesis]: #4133
+#6675 := (uf_1 uf_22 ?x68!16)
+#6676 := (uf_10 #6675)
+#6701 := (+ #2894 #6676)
+#6702 := (+ #188 #6701)
+#16997 := (<= #6702 0::int)
+#6705 := (= #6702 0::int)
+#6642 := (uf_4 uf_14 ?x68!16)
+#6659 := (* -1::int #6642)
+#6694 := (+ #6659 #6676)
+#6695 := (+ #188 #6694)
+#6696 := (>= #6695 0::int)
+#6680 := (* -1::int #6676)
+#6684 := (+ uf_9 #6680)
+#6685 := (<= #6684 0::int)
+#6731 := (or #6685 #6696)
+#6734 := (not #6731)
+#6728 := (= #2300 #6642)
+#14098 := (not #6728)
+#6660 := (+ #2300 #6659)
+#17022 := (>= #6660 0::int)
+#14117 := (not #17022)
+#6472 := (+ #188 #6659)
+#6473 := (<= #6472 0::int)
+#6496 := (uf_6 uf_15 ?x68!16)
+#6497 := (= uf_8 #6496)
+#16679 := (not #6497)
+#13671 := (= ?x68!16 #9695)
+#13592 := (ite #13671 #3895 #6497)
+#15564 := (not #13592)
+#13670 := (uf_6 #10323 ?x68!16)
+#13649 := (= uf_8 #13670)
+#13820 := (iff #13592 #13649)
+#14101 := (or #4987 #13820)
+#13645 := (ite #13671 #4958 #6497)
+#13647 := (= #13670 uf_8)
+#13648 := (iff #13647 #13645)
+#15296 := (or #4987 #13648)
+#15178 := (iff #15296 #14101)
+#15561 := (iff #14101 #14101)
+#15556 := [rewrite]: #15561
+#13826 := (iff #13648 #13820)
+#13663 := (iff #13649 #13592)
+#13819 := (iff #13663 #13820)
+#13825 := [rewrite]: #13819
+#13664 := (iff #13648 #13663)
+#13638 := (iff #13645 #13592)
+#13662 := [monotonicity #4971]: #13638
+#13655 := (iff #13647 #13649)
+#13661 := [rewrite]: #13655
+#13665 := [monotonicity #13661 #13662]: #13664
+#13828 := [trans #13665 #13825]: #13826
+#15560 := [monotonicity #13828]: #15178
+#15558 := [trans #15560 #15556]: #15178
+#15177 := [quant-inst]: #15296
+#15563 := [mp #15177 #15558]: #14101
+#17427 := [unit-resolution #15563 #4222]: #13820
+#16690 := (not #13649)
+#17349 := (iff #2307 #16690)
+#17657 := (iff #2306 #13649)
+#17654 := (iff #13649 #2306)
+#17353 := (= #13670 #2305)
+#17653 := [monotonicity #13583]: #17353
+#17655 := [monotonicity #17653]: #17654
+#17300 := [symm #17655]: #17657
+#17434 := [monotonicity #17300]: #17349
+#17656 := [hypothesis]: #2307
+#17463 := [mp #17656 #17434]: #16690
+#16689 := (not #13820)
+#16795 := (or #16689 #15564 #13649)
+#16793 := [def-axiom]: #16795
+#17402 := [unit-resolution #16793 #17463 #17427]: #15564
+#15565 := (not #13671)
+#17466 := (or #13592 #15565)
+#15618 := (or #13592 #15565 #3924)
+#15814 := [def-axiom]: #15618
+#17660 := [unit-resolution #15814 #7677]: #17466
+#17661 := [unit-resolution #17660 #17402]: #15565
+#16681 := (or #13592 #13671 #16679)
+#16685 := [def-axiom]: #16681
+#17658 := [unit-resolution #16685 #17661 #17402]: #16679
+#6530 := (or #6473 #6497)
+#17091 := (or #4423 #6473 #6497)
+#6493 := (+ #6642 #1455)
+#6494 := (>= #6493 0::int)
+#6495 := (or #6497 #6494)
+#17092 := (or #4423 #6495)
+#16354 := (iff #17092 #17091)
+#17099 := (or #4423 #6530)
+#16352 := (iff #17099 #17091)
+#16353 := [rewrite]: #16352
+#16351 := (iff #17092 #17099)
+#6533 := (iff #6495 #6530)
+#6527 := (or #6497 #6473)
+#6531 := (iff #6527 #6530)
+#6532 := [rewrite]: #6531
+#6528 := (iff #6495 #6527)
+#6525 := (iff #6494 #6473)
+#6467 := (+ #1455 #6642)
+#6469 := (>= #6467 0::int)
+#6474 := (iff #6469 #6473)
+#6524 := [rewrite]: #6474
+#6470 := (iff #6494 #6469)
+#6468 := (= #6493 #6467)
+#6466 := [rewrite]: #6468
+#6471 := [monotonicity #6466]: #6470
+#6526 := [trans #6471 #6524]: #6525
+#6529 := [monotonicity #6526]: #6528
+#6534 := [trans #6529 #6532]: #6533
+#17076 := [monotonicity #6534]: #16351
+#16356 := [trans #17076 #16353]: #16354
+#17101 := [quant-inst]: #17092
+#16358 := [mp #17101 #16356]: #17091
+#17669 := [unit-resolution #16358 #17666]: #6530
+#17659 := [unit-resolution #17669 #17658]: #6473
+#6393 := (+ #2298 #4781)
+#18006 := (<= #6393 0::int)
+#17296 := (= #2298 #4740)
+#6449 := (= ?x67!17 uf_22)
+#14077 := (= ?x67!17 #9695)
+#6439 := (uf_6 uf_15 ?x67!17)
+#6440 := (= uf_8 #6439)
+#14085 := (ite #14077 #3895 #6440)
+#14079 := (uf_6 #10323 ?x67!17)
+#14082 := (= uf_8 #14079)
+#14088 := (iff #14082 #14085)
+#16842 := (or #4987 #14088)
+#14078 := (ite #14077 #4958 #6440)
+#14080 := (= #14079 uf_8)
+#14081 := (iff #14080 #14078)
+#16843 := (or #4987 #14081)
+#16827 := (iff #16843 #16842)
+#16829 := (iff #16842 #16842)
+#16830 := [rewrite]: #16829
+#14089 := (iff #14081 #14088)
+#14086 := (iff #14078 #14085)
+#14087 := [monotonicity #4971]: #14086
+#14083 := (iff #14080 #14082)
+#14084 := [rewrite]: #14083
+#14090 := [monotonicity #14084 #14087]: #14089
+#16828 := [monotonicity #14090]: #16827
+#16825 := [trans #16828 #16830]: #16827
+#16822 := [quant-inst]: #16843
+#16780 := [mp #16822 #16825]: #16842
+#17670 := [unit-resolution #16780 #4222]: #14088
+#17684 := (= #2303 #14079)
+#17672 := (= #14079 #2303)
+#17688 := [monotonicity #13583]: #17672
+#17680 := [symm #17688]: #17684
+#17671 := [hypothesis]: #2304
+#17705 := [trans #17671 #17680]: #14082
+#16844 := (not #14082)
+#16848 := (not #14088)
+#16851 := (or #16848 #16844 #14085)
+#16852 := [def-axiom]: #16851
+#17703 := [unit-resolution #16852 #17705 #17670]: #14085
+#16816 := (not #6440)
+#6405 := (uf_4 uf_14 ?x67!17)
+#17321 := (+ #6405 #9707)
+#17316 := (<= #17321 0::int)
+#14110 := (not #17316)
+#14118 := (not #6473)
+#17620 := (or #14110 #2896 #13671 #14118)
+#17021 := (not #6685)
+#5574 := (* -1::int #6405)
+#5674 := (+ #2298 #5574)
+#5698 := (<= #5674 0::int)
+#16850 := (or #4449 #5698)
+#5667 := (+ #6405 #2299)
+#5668 := (>= #5667 0::int)
+#16871 := (or #4449 #5668)
+#16875 := (iff #16871 #16850)
+#16878 := (iff #16850 #16850)
+#16872 := [rewrite]: #16878
+#5701 := (iff #5668 #5698)
+#5669 := (+ #2299 #6405)
+#5671 := (>= #5669 0::int)
+#5699 := (iff #5671 #5698)
+#5700 := [rewrite]: #5699
+#5672 := (iff #5668 #5671)
+#5664 := (= #5667 #5669)
+#5670 := [rewrite]: #5664
+#5673 := [monotonicity #5670]: #5672
+#5702 := [trans #5673 #5700]: #5701
+#16877 := [monotonicity #5702]: #16875
+#16845 := [trans #16877 #16872]: #16875
+#16831 := [quant-inst]: #16871
+#16858 := [mp #16831 #16845]: #16850
+#12150 := [unit-resolution #16858 #10788]: #5698
+#14116 := [hypothesis]: #6473
+#14115 := [hypothesis]: #17316
+#14119 := (not #10581)
+#14113 := (not #5698)
+#14120 := (or #14117 #14118 #14113 #2896 #14110 #14119)
+#14127 := [th-lemma]: #14120
+#14128 := [unit-resolution #14127 #14115 #14116 #12150 #12004 #12925]: #14117
+#14167 := (or #14098 #17022)
+#14099 := [th-lemma]: #14167
+#14170 := [unit-resolution #14099 #14128]: #14098
+#6737 := (or #6728 #6734)
+#17003 := (or #4433 #6728 #6734)
+#6681 := (+ #1455 #6680)
+#6682 := (+ #6642 #6681)
+#6683 := (<= #6682 0::int)
+#6724 := (or #6685 #6683)
+#6725 := (not #6724)
+#6726 := (= #6642 #2300)
+#6727 := (or #6726 #6725)
+#17006 := (or #4433 #6727)
+#17015 := (iff #17006 #17003)
+#16994 := (or #4433 #6737)
+#17013 := (iff #16994 #17003)
+#17012 := [rewrite]: #17013
+#17007 := (iff #17006 #16994)
+#6738 := (iff #6727 #6737)
+#6735 := (iff #6725 #6734)
+#6732 := (iff #6724 #6731)
+#6699 := (iff #6683 #6696)
+#6687 := (+ #6642 #6680)
+#6688 := (+ #1455 #6687)
+#6691 := (<= #6688 0::int)
+#6697 := (iff #6691 #6696)
+#6698 := [rewrite]: #6697
+#6692 := (iff #6683 #6691)
+#6689 := (= #6682 #6688)
+#6690 := [rewrite]: #6689
+#6693 := [monotonicity #6690]: #6692
+#6700 := [trans #6693 #6698]: #6699
+#6733 := [monotonicity #6700]: #6732
+#6736 := [monotonicity #6733]: #6735
+#6729 := (iff #6726 #6728)
+#6730 := [rewrite]: #6729
+#6739 := [monotonicity #6730 #6736]: #6738
+#17008 := [monotonicity #6739]: #17007
+#17016 := [trans #17008 #17012]: #17015
+#17005 := [quant-inst]: #17006
+#17017 := [mp #17005 #17016]: #17003
+#14323 := [unit-resolution #17017 #10727]: #6737
+#14462 := [unit-resolution #14323 #14170]: #6734
+#17024 := (or #6731 #17021)
+#17014 := [def-axiom]: #17024
+#14131 := [unit-resolution #17014 #14462]: #17021
+#17023 := (not #6696)
+#17025 := (or #6731 #17023)
+#17026 := [def-axiom]: #17025
+#14463 := [unit-resolution #17026 #14462]: #17023
+#6708 := (or #6685 #6696 #6705)
+#16986 := (or #4441 #6685 #6696 #6705)
+#6677 := (+ #6676 #2894)
+#6678 := (+ #188 #6677)
+#6679 := (= #6678 0::int)
+#6686 := (or #6685 #6683 #6679)
+#16942 := (or #4441 #6686)
+#16967 := (iff #16942 #16986)
+#16939 := (or #4441 #6708)
+#16965 := (iff #16939 #16986)
+#16966 := [rewrite]: #16965
+#16958 := (iff #16942 #16939)
+#6709 := (iff #6686 #6708)
+#6706 := (iff #6679 #6705)
+#6703 := (= #6678 #6702)
+#6704 := [rewrite]: #6703
+#6707 := [monotonicity #6704]: #6706
+#6710 := [monotonicity #6700 #6707]: #6709
+#16981 := [monotonicity #6710]: #16958
+#16968 := [trans #16981 #16966]: #16967
+#16943 := [quant-inst]: #16942
+#16957 := [mp #16943 #16968]: #16986
+#14091 := [unit-resolution #16957 #10785]: #6708
+#15021 := [unit-resolution #14091 #14463 #14131]: #6705
+#15016 := (not #6705)
+#15301 := (or #15016 #16997)
+#16191 := [th-lemma]: #15301
+#16210 := [unit-resolution #16191 #15021]: #16997
+#17555 := (uf_1 #9695 ?x68!16)
+#17556 := (uf_10 #17555)
+#11882 := (* -1::int #17556)
+#11971 := (+ #6676 #11882)
+#12082 := (>= #11971 0::int)
+#12012 := (= #6676 #17556)
+#16213 := (= #17556 #6676)
+#15939 := (= #17555 #6675)
+#16211 := [monotonicity #10708]: #15939
+#16214 := [monotonicity #16211]: #16213
+#16541 := [symm #16214]: #12012
+#16559 := (not #12012)
+#16520 := (or #16559 #12082)
+#16540 := [th-lemma]: #16520
+#16560 := [unit-resolution #16540 #16541]: #12082
+#17561 := (<= #17556 0::int)
+#17562 := (not #17561)
+#16607 := [hypothesis]: #15565
+#17589 := (or #10302 #13671 #17562)
+#17574 := (= #9695 ?x68!16)
+#17571 := (or #17574 #17562)
+#17590 := (or #10302 #17571)
+#11861 := (iff #17590 #17589)
+#17587 := (or #13671 #17562)
+#17606 := (or #10302 #17587)
+#17600 := (iff #17606 #17589)
+#17601 := [rewrite]: #17600
+#17593 := (iff #17590 #17606)
+#17569 := (iff #17571 #17587)
+#17585 := (iff #17574 #13671)
+#17586 := [rewrite]: #17585
+#17588 := [monotonicity #17586]: #17569
+#17599 := [monotonicity #17588]: #17593
+#17598 := [trans #17599 #17601]: #11861
+#17583 := [quant-inst]: #17590
+#11866 := [mp #17583 #17598]: #17589
+#17621 := [unit-resolution #11866 #4249 #16607]: #17562
+#17166 := [th-lemma #12150 #12004 #14115 #12925 #17621 #16560 #16210]: false
+#17622 := [lemma #17166]: #17620
+#17722 := [unit-resolution #17622 #17661 #12004 #17659]: #14110
+#18133 := (or #16816 #17316)
+#18126 := [hypothesis]: #14110
+#18130 := [hypothesis]: #6440
+#18002 := (or #4328 #16816 #9686 #17316)
+#17278 := (+ #9701 #5574)
+#17277 := (>= #17278 0::int)
+#17276 := (or #9686 #16816 #17277)
+#18007 := (or #4328 #17276)
+#17984 := (iff #18007 #18002)
+#17337 := (or #16816 #9686 #17316)
+#17982 := (or #4328 #17337)
+#17989 := (iff #17982 #18002)
+#17990 := [rewrite]: #17989
+#17983 := (iff #18007 #17982)
+#17345 := (iff #17276 #17337)
+#17333 := (or #9686 #16816 #17316)
+#17346 := (iff #17333 #17337)
+#17341 := [rewrite]: #17346
+#17336 := (iff #17276 #17333)
+#17332 := (iff #17277 #17316)
+#17303 := (+ #5574 #9701)
+#17297 := (>= #17303 0::int)
+#17320 := (iff #17297 #17316)
+#17326 := [rewrite]: #17320
+#17306 := (iff #17277 #17297)
+#17304 := (= #17278 #17303)
+#17305 := [rewrite]: #17304
+#17317 := [monotonicity #17305]: #17306
+#17325 := [trans #17317 #17326]: #17332
+#17324 := [monotonicity #17325]: #17336
+#17347 := [trans #17324 #17341]: #17345
+#17971 := [monotonicity #17347]: #17983
+#17988 := [trans #17971 #17990]: #17984
+#17980 := [quant-inst]: #18007
+#17991 := [mp #17980 #17988]: #18002
+#18132 := [unit-resolution #17991 #13967 #13969 #18130 #18126]: false
+#18134 := [lemma #18132]: #18133
+#17723 := [unit-resolution #18134 #17722]: #16816
+#16801 := (not #14085)
+#16815 := (or #16801 #14077 #6440)
+#16832 := [def-axiom]: #16815
+#17724 := [unit-resolution #16832 #17723 #17703]: #14077
+#17720 := [trans #17724 #10708]: #6449
+#17697 := [monotonicity #17720]: #17296
+#17700 := (not #17296)
+#17701 := (or #17700 #18006)
+#17693 := [th-lemma]: #17701
+#17673 := [unit-resolution #17693 #17697]: #18006
+#18044 := (not #18006)
+#18045 := (or #18044 #14117 #2896 #14118)
+#18043 := [hypothesis]: #18006
+#18041 := [hypothesis]: #17022
+#18042 := [th-lemma #18041 #12004 #14116 #9311 #18043]: false
+#18046 := [lemma #18042]: #18045
+#17699 := [unit-resolution #18046 #17673 #12004 #17659]: #14117
+#17676 := [unit-resolution #14099 #17699]: #14098
+#17677 := [unit-resolution #14323 #17676]: #6734
+#17164 := (or #6731 #6705)
+#17180 := [hypothesis]: #15016
+#17209 := [hypothesis]: #6734
+#17210 := [unit-resolution #17014 #17209]: #17021
+#17207 := [unit-resolution #17026 #17209]: #17023
+#17212 := [unit-resolution #14091 #17207 #17210 #17180]: false
+#17211 := [lemma #17212]: #17164
+#17678 := [unit-resolution #17211 #17677]: #6705
+#17681 := [unit-resolution #16191 #17678]: #16997
+#17675 := [unit-resolution #11866 #4249 #17661]: #17562
+#17735 := [th-lemma #17673 #9311 #17675 #16560 #17681 #12004]: false
+#17721 := [lemma #17735]: #17736
+[unit-resolution #17721 #19868 #19866 #19869]: false
 unsat