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

shorter names for variables and verification conditions,
auto-fix variables occurring in a verification condition

#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_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)
#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)
#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)
#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)
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)
#1003 := (not #980)
#1004 := (or #1003 #983)
#1012 := (and #980 #1004)
#942 := (= #238 #939)
#948 := (and #241 #942)
#953 := (exists (vars (?x65 T2)) #948)
#936 := (and #73 #236)
#959 := (not #936)
#960 := (or #959 #953)
#965 := (forall (vars (?x64 T2)) #960)
#1020 := (not #965)
#1021 := (or #1020 #1012)
#1029 := (and #965 #1021)
#1045 := (or #1044 #1029)
#1054 := (or #1053 #1045)
#1063 := (or #1062 #1054)
#1072 := (or #1071 #1063)
#579 := (and #129 #508)
#582 := (exists (vars (?x41 T2)) #579)
#1091 := (or #582 #1072)
#703 := (and #192 #630)
#676 := (+ #91 #158)
#697 := (= #180 #676)
#708 := (and #697 #703)
#711 := (exists (vars (?x53 T2)) #708)
#694 := (and #73 #189)
#717 := (not #694)
#718 := (or #717 #711)
#723 := (forall (vars (?x52 T2)) #718)
#679 := (<= #180 #676)
#673 := (and #92 #630)
#685 := (not #673)
#686 := (or #685 #679)
#691 := (forall (vars (?x50 T2) (?x51 T2)) #686)
#745 := (not #691)
#746 := (or #745 #723)
#754 := (and #691 #746)
#665 := (or #181 #664)
#670 := (forall (vars (?x48 T2) (?x49 T2)) #665)
#762 := (not #670)
#763 := (or #762 #754)
#771 := (and #670 #763)
#779 := (not #175)
#780 := (or #779 #771)
#788 := (and #175 #780)
#645 := (= 0::int #172)
#796 := (not #645)
#797 := (or #796 #788)
#805 := (and #645 #797)
#825 := (or #824 #805)
#833 := (and #642 #825)
#841 := (not #167)
#842 := (or #841 #833)
#850 := (and #167 #842)
#622 := (or #157 #616)
#627 := (forall (vars (?x44 T2)) #622)
#858 := (not #627)
#859 := (or #858 #850)
#602 := (= #154 #158)
#608 := (or #162 #602)
#613 := (forall (vars (?x43 T2)) #608)
#867 := (not #613)
#868 := (or #867 #859)
#877 := (or #876 #868)
#594 := (or #146 #505)
#599 := (forall (vars (?x42 T2)) #594)
#885 := (not #599)
#886 := (or #885 #877)
#894 := (not #145)
#895 := (or #894 #886)
#903 := (or #585 #895)
#911 := (not #582)
#912 := (or #911 #903)
#1107 := (and #912 #1091)
#556 := (and #132 #505)
#529 := (+ #91 #110)
#550 := (= #120 #529)
#561 := (and #550 #556)
#564 := (exists (vars (?x40 T2)) #561)
#547 := (and #73 #129)
#570 := (not #547)
#571 := (or #570 #564)
#576 := (forall (vars (?x39 T2)) #571)
#1120 := (not #576)
#1121 := (or #1120 #1107)
#532 := (<= #120 #529)
#526 := (and #92 #505)
#538 := (not #526)
#539 := (or #538 #532)
#544 := (forall (vars (?x37 T2) (?x38 T2)) #539)
#1129 := (not #544)
#1130 := (or #1129 #1121)
#518 := (or #121 #517)
#523 := (forall (vars (?x35 T2) (?x36 T2)) #518)
#1138 := (not #523)
#1139 := (or #1138 #1130)
#1147 := (not #112)
#1148 := (or #1147 #1139)
#499 := (= 0::int #108)
#1156 := (not #499)
#1157 := (or #1156 #1148)
#484 := (and #73 #98)
#490 := (not #484)
#491 := (or #104 #490)
#496 := (forall (vars (?x32 T2)) #491)
#1176 := (not #496)
#1177 := (or #1176 #1157)
#1185 := (and #496 #1177)
#469 := (and #77 #92)
#475 := (not #469)
#476 := (or #95 #475)
#481 := (forall (vars (?x30 T2) (?x31 T2)) #476)
#1193 := (not #481)
#1194 := (or #1193 #1185)
#1202 := (and #481 #1194)
#461 := (or #87 #460)
#466 := (forall (vars (?x28 T2) (?x29 T2)) #461)
#1210 := (not #466)
#1211 := (or #1210 #1202)
#1219 := (and #466 #1211)
#1227 := (not #83)
#1228 := (or #1227 #1219)
#1236 := (and #83 #1228)
#451 := (= 0::int #80)
#1244 := (not #451)
#1245 := (or #1244 #1236)
#1253 := (and #451 #1245)
#1269 := (or #1268 #1253)
#1278 := (or #1277 #1269)
#423 := (= 0::int #69)
#429 := (or #73 #423)
#434 := (forall (vars (?x24 T2)) #429)
#1286 := (not #434)
#1287 := (or #1286 #1278)
#1303 := (not #1287)
#1936 := (iff #1303 #1935)
#1933 := (iff #1287 #1930)
#1921 := (or #1268 #1907)
#1924 := (or #1277 #1921)
#1927 := (or #1918 #1924)
#1931 := (iff #1927 #1930)
#1932 := [rewrite]: #1931
#1928 := (iff #1287 #1927)
#1925 := (iff #1278 #1924)
#1922 := (iff #1269 #1921)
#1908 := (iff #1253 #1907)
#1905 := (iff #1245 #1904)
#1902 := (iff #1236 #1901)
#1899 := (iff #1228 #1898)
#1896 := (iff #1219 #1895)
#1893 := (iff #1211 #1892)
#1890 := (iff #1202 #1889)
#1887 := (iff #1194 #1886)
#1884 := (iff #1185 #1883)
#1881 := (iff #1177 #1878)
#1860 := (or #1446 #1801)
#1863 := (or #1824 #1860)
#1866 := (or #1840 #1863)
#1869 := (or #1849 #1866)
#1872 := (or #1854 #1869)
#1875 := (or #1857 #1872)
#1879 := (iff #1875 #1878)
#1880 := [rewrite]: #1879
#1876 := (iff #1177 #1875)
#1873 := (iff #1157 #1872)
#1870 := (iff #1148 #1869)
#1867 := (iff #1139 #1866)
#1864 := (iff #1130 #1863)
#1861 := (iff #1121 #1860)
#1802 := (iff #1107 #1801)
#1799 := (iff #1091 #1796)
#1781 := (or #1044 #1778)
#1784 := (or #1053 #1781)
#1787 := (or #1062 #1784)
#1790 := (or #1071 #1787)
#1793 := (or #1675 #1790)
#1797 := (iff #1793 #1796)
#1798 := [rewrite]: #1797
#1794 := (iff #1091 #1793)
#1791 := (iff #1072 #1790)
#1788 := (iff #1063 #1787)
#1785 := (iff #1054 #1784)
#1782 := (iff #1045 #1781)
#1779 := (iff #1029 #1778)
#1776 := (iff #1021 #1775)
#1773 := (iff #1012 #1772)
#1770 := (iff #1004 #1767)
#1764 := (or #1759 #251)
#1768 := (iff #1764 #1767)
#1769 := [rewrite]: #1768
#1765 := (iff #1004 #1764)
#1762 := (iff #983 #251)
#1763 := [rewrite]: #1762
#1760 := (iff #1003 #1759)
#1757 := (iff #980 #1756)
#1754 := (iff #975 #1753)
#1751 := (iff #968 #1750)
#1752 := [rewrite]: #1751
#1748 := (iff #974 #1747)
#1745 := (iff #246 #1744)
#1711 := (iff #236 #1710)
#1712 := [rewrite]: #1711
#1349 := (iff #92 #1348)
#1350 := [rewrite]: #1349
#1746 := [monotonicity #1350 #1712]: #1745
#1749 := [monotonicity #1746]: #1748
#1755 := [monotonicity #1749 #1752]: #1754
#1758 := [quant-intro #1755]: #1757
#1761 := [monotonicity #1758]: #1760
#1766 := [monotonicity #1761 #1763]: #1765
#1771 := [trans #1766 #1769]: #1770
#1774 := [monotonicity #1758 #1771]: #1773
#1742 := (iff #1020 #1741)
#1739 := (iff #965 #1738)
#1736 := (iff #960 #1735)
#1733 := (iff #953 #1732)
#1730 := (iff #948 #1729)
#1726 := (iff #942 #1725)
#1728 := [rewrite]: #1726
#1723 := (iff #241 #1722)
#1724 := [rewrite]: #1723
#1731 := [monotonicity #1724 #1728]: #1730
#1734 := [quant-intro #1731]: #1733
#1717 := (iff #959 #1716)
#1714 := (iff #936 #1713)
#1715 := [monotonicity #1712]: #1714
#1718 := [monotonicity #1715]: #1717
#1737 := [monotonicity #1718 #1734]: #1736
#1740 := [quant-intro #1737]: #1739
#1743 := [monotonicity #1740]: #1742
#1777 := [monotonicity #1743 #1774]: #1776
#1780 := [monotonicity #1740 #1777]: #1779
#1783 := [monotonicity #1780]: #1782
#1786 := [monotonicity #1783]: #1785
#1789 := [monotonicity #1786]: #1788
#1792 := [monotonicity #1789]: #1791
#1676 := (iff #582 #1675)
#1673 := (iff #579 #1670)
#1667 := (and #1407 #508)
#1671 := (iff #1667 #1670)
#1672 := [rewrite]: #1671
#1668 := (iff #579 #1667)
#1408 := (iff #129 #1407)
#1409 := [rewrite]: #1408
#1669 := [monotonicity #1409]: #1668
#1674 := [trans #1669 #1672]: #1673
#1677 := [quant-intro #1674]: #1676
#1795 := [monotonicity #1677 #1792]: #1794
#1800 := [trans #1795 #1798]: #1799
#1705 := (iff #912 #1702)
#1681 := (or #1476 #1617)
#1684 := (or #1634 #1681)
#1687 := (or #876 #1684)
#1690 := (or #1652 #1687)
#1693 := (or #1656 #1690)
#1696 := (or #585 #1693)
#1699 := (or #1678 #1696)
#1703 := (iff #1699 #1702)
#1704 := [rewrite]: #1703
#1700 := (iff #912 #1699)
#1697 := (iff #903 #1696)
#1694 := (iff #895 #1693)
#1691 := (iff #886 #1690)
#1688 := (iff #877 #1687)
#1685 := (iff #868 #1684)
#1682 := (iff #859 #1681)
#1618 := (iff #850 #1617)
#1615 := (iff #842 #1614)
#1612 := (iff #833 #1611)
#1609 := (iff #825 #1608)
#1606 := (iff #805 #1605)
#1603 := (iff #797 #1602)
#1600 := (iff #788 #1599)
#1597 := (iff #780 #1596)
#1594 := (iff #771 #1593)
#1591 := (iff #763 #1590)
#1588 := (iff #754 #1587)
#1585 := (iff #746 #1584)
#1582 := (iff #723 #1581)
#1579 := (iff #718 #1578)
#1576 := (iff #711 #1575)
#1573 := (iff #708 #1570)
#1564 := (and #1558 #630)
#1567 := (and #1561 #1564)
#1571 := (iff #1567 #1570)
#1572 := [rewrite]: #1571
#1568 := (iff #708 #1567)
#1565 := (iff #703 #1564)
#1559 := (iff #192 #1558)
#1560 := [rewrite]: #1559
#1566 := [monotonicity #1560]: #1565
#1562 := (iff #697 #1561)
#1563 := [rewrite]: #1562
#1569 := [monotonicity #1563 #1566]: #1568
#1574 := [trans #1569 #1572]: #1573
#1577 := [quant-intro #1574]: #1576
#1556 := (iff #717 #1555)
#1553 := (iff #694 #1552)
#1550 := (iff #189 #1549)
#1551 := [rewrite]: #1550
#1554 := [monotonicity #1551]: #1553
#1557 := [monotonicity #1554]: #1556
#1580 := [monotonicity #1557 #1577]: #1579
#1583 := [quant-intro #1580]: #1582
#1545 := (iff #745 #1544)
#1542 := (iff #691 #1541)
#1539 := (iff #686 #1538)
#1535 := (iff #679 #1534)
#1537 := [rewrite]: #1535
#1532 := (iff #685 #1531)
#1529 := (iff #673 #1526)
#1523 := (and #1348 #630)
#1527 := (iff #1523 #1526)
#1528 := [rewrite]: #1527
#1524 := (iff #673 #1523)
#1525 := [monotonicity #1350]: #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 #762 #1520)
#1518 := (iff #670 #1517)
#1515 := (iff #665 #1512)
#1509 := (or #1504 #664)
#1513 := (iff #1509 #1512)
#1514 := [rewrite]: #1513
#1510 := (iff #665 #1509)
#1507 := (iff #181 #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 #779 #1501)
#1499 := (iff #175 #1498)
#1496 := (iff #174 #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 #796 #1492)
#1490 := (iff #645 #173)
#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 #841 #1487)
#1485 := (iff #167 #1484)
#1482 := (iff #166 #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 #858 #1476)
#1474 := (iff #627 #1473)
#1471 := (iff #622 #1468)
#1465 := (or #1462 #616)
#1469 := (iff #1465 #1468)
#1470 := [rewrite]: #1469
#1466 := (iff #622 #1465)
#1463 := (iff #157 #1462)
#1460 := (iff #156 #1459)
#1461 := [rewrite]: #1460
#1455 := (iff #155 #1454)
#1456 := [rewrite]: #1455
#1464 := [monotonicity #1456 #1461]: #1463
#1467 := [monotonicity #1464]: #1466
#1472 := [trans #1467 #1470]: #1471
#1475 := [quant-intro #1472]: #1474
#1478 := [monotonicity #1475]: #1477
#1683 := [monotonicity #1478 #1619]: #1682
#1635 := (iff #867 #1634)
#1632 := (iff #613 #1631)
#1629 := (iff #608 #1628)
#1626 := (iff #602 #1625)
#1627 := [rewrite]: #1626
#1621 := (iff #162 #1620)
#1622 := [monotonicity #1464]: #1621
#1630 := [monotonicity #1622 #1627]: #1629
#1633 := [quant-intro #1630]: #1632
#1636 := [monotonicity #1633]: #1635
#1686 := [monotonicity #1636 #1683]: #1685
#1689 := [monotonicity #1686]: #1688
#1653 := (iff #885 #1652)
#1650 := (iff #599 #1649)
#1647 := (iff #594 #1644)
#1641 := (or #1637 #505)
#1645 := (iff #1641 #1644)
#1646 := [rewrite]: #1645
#1642 := (iff #594 #1641)
#1639 := (iff #146 #1637)
#1640 := [rewrite]: #1639
#1643 := [monotonicity #1640]: #1642
#1648 := [trans #1643 #1646]: #1647
#1651 := [quant-intro #1648]: #1650
#1654 := [monotonicity #1651]: #1653
#1692 := [monotonicity #1654 #1689]: #1691
#1665 := (iff #894 #1656)
#1657 := (not #1656)
#1660 := (not #1657)
#1663 := (iff #1660 #1656)
#1664 := [rewrite]: #1663
#1661 := (iff #894 #1660)
#1658 := (iff #145 #1657)
#1659 := [rewrite]: #1658
#1662 := [monotonicity #1659]: #1661
#1666 := [trans #1662 #1664]: #1665
#1695 := [monotonicity #1666 #1692]: #1694
#1698 := [monotonicity #1695]: #1697
#1679 := (iff #911 #1678)
#1680 := [monotonicity #1677]: #1679
#1701 := [monotonicity #1680 #1698]: #1700
#1706 := [trans #1701 #1704]: #1705
#1803 := [monotonicity #1706 #1800]: #1802
#1447 := (iff #1120 #1446)
#1444 := (iff #576 #1443)
#1441 := (iff #571 #1440)
#1438 := (iff #564 #1437)
#1435 := (iff #561 #1432)
#1426 := (and #1419 #505)
#1429 := (and #1422 #1426)
#1433 := (iff #1429 #1432)
#1434 := [rewrite]: #1433
#1430 := (iff #561 #1429)
#1427 := (iff #556 #1426)
#1420 := (iff #132 #1419)
#1421 := [rewrite]: #1420
#1428 := [monotonicity #1421]: #1427
#1423 := (iff #550 #1422)
#1425 := [rewrite]: #1423
#1431 := [monotonicity #1425 #1428]: #1430
#1436 := [trans #1431 #1434]: #1435
#1439 := [quant-intro #1436]: #1438
#1414 := (iff #570 #1413)
#1411 := (iff #547 #1410)
#1412 := [monotonicity #1409]: #1411
#1415 := [monotonicity #1412]: #1414
#1442 := [monotonicity #1415 #1439]: #1441
#1445 := [quant-intro #1442]: #1444
#1448 := [monotonicity #1445]: #1447
#1862 := [monotonicity #1448 #1803]: #1861
#1825 := (iff #1129 #1824)
#1822 := (iff #544 #1821)
#1819 := (iff #539 #1818)
#1816 := (iff #532 #1815)
#1817 := [rewrite]: #1816
#1813 := (iff #538 #1812)
#1810 := (iff #526 #1807)
#1804 := (and #1348 #505)
#1808 := (iff #1804 #1807)
#1809 := [rewrite]: #1808
#1805 := (iff #526 #1804)
#1806 := [monotonicity #1350]: #1805
#1811 := [trans #1806 #1809]: #1810
#1814 := [monotonicity #1811]: #1813
#1820 := [monotonicity #1814 #1817]: #1819
#1823 := [quant-intro #1820]: #1822
#1826 := [monotonicity #1823]: #1825
#1865 := [monotonicity #1826 #1862]: #1864
#1841 := (iff #1138 #1840)
#1838 := (iff #523 #1837)
#1835 := (iff #518 #1832)
#1829 := (or #1416 #517)
#1833 := (iff #1829 #1832)
#1834 := [rewrite]: #1833
#1830 := (iff #518 #1829)
#1827 := (iff #121 #1416)
#1828 := [rewrite]: #1827
#1831 := [monotonicity #1828]: #1830
#1836 := [trans #1831 #1834]: #1835
#1839 := [quant-intro #1836]: #1838
#1842 := [monotonicity #1839]: #1841
#1868 := [monotonicity #1842 #1865]: #1867
#1850 := (iff #1147 #1849)
#1847 := (iff #112 #1846)
#1844 := (iff #111 #1843)
#1845 := [rewrite]: #1844
#1848 := [quant-intro #1845]: #1847
#1851 := [monotonicity #1848]: #1850
#1871 := [monotonicity #1851 #1868]: #1870
#1855 := (iff #1156 #1854)
#1852 := (iff #499 #109)
#1853 := [rewrite]: #1852
#1856 := [monotonicity #1853]: #1855
#1874 := [monotonicity #1856 #1871]: #1873
#1858 := (iff #1176 #1857)
#1402 := (iff #496 #1401)
#1399 := (iff #491 #1398)
#1396 := (iff #490 #1395)
#1393 := (iff #484 #1392)
#1390 := (iff #98 #1389)
#1391 := [rewrite]: #1390
#1394 := [monotonicity #1391]: #1393
#1397 := [monotonicity #1394]: #1396
#1384 := (iff #104 #1383)
#1381 := (iff #103 #1378)
#1372 := (and #77 #1366)
#1375 := (and #1370 #1372)
#1379 := (iff #1375 #1378)
#1380 := [rewrite]: #1379
#1376 := (iff #103 #1375)
#1373 := (iff #102 #1372)
#1367 := (iff #101 #1366)
#1368 := [rewrite]: #1367
#1374 := [monotonicity #1368]: #1373
#1369 := (iff #100 #1370)
#1371 := [rewrite]: #1369
#1377 := [monotonicity #1371 #1374]: #1376
#1382 := [trans #1377 #1380]: #1381
#1385 := [quant-intro #1382]: #1384
#1400 := [monotonicity #1385 #1397]: #1399
#1403 := [quant-intro #1400]: #1402
#1859 := [monotonicity #1403]: #1858
#1877 := [monotonicity #1859 #1874]: #1876
#1882 := [trans #1877 #1880]: #1881
#1885 := [monotonicity #1403 #1882]: #1884
#1364 := (iff #1193 #1363)
#1361 := (iff #481 #1360)
#1358 := (iff #476 #1357)
#1355 := (iff #475 #1354)
#1352 := (iff #469 #1351)
#1353 := [monotonicity #1350]: #1352
#1356 := [monotonicity #1353]: #1355
#1341 := (iff #95 #1342)
#1340 := [rewrite]: #1341
#1359 := [monotonicity #1340 #1356]: #1358
#1362 := [quant-intro #1359]: #1361
#1365 := [monotonicity #1362]: #1364
#1888 := [monotonicity #1365 #1885]: #1887
#1891 := [monotonicity #1362 #1888]: #1890
#1338 := (iff #1210 #1337)
#1335 := (iff #466 #1334)
#1332 := (iff #461 #1329)
#1326 := (or #1322 #460)
#1330 := (iff #1326 #1329)
#1331 := [rewrite]: #1330
#1327 := (iff #461 #1326)
#1321 := (iff #87 #1322)
#1325 := [rewrite]: #1321
#1328 := [monotonicity #1325]: #1327
#1333 := [trans #1328 #1331]: #1332
#1336 := [quant-intro #1333]: #1335
#1339 := [monotonicity #1336]: #1338
#1894 := [monotonicity #1339 #1891]: #1893
#1897 := [monotonicity #1336 #1894]: #1896
#1318 := (iff #1227 #1317)
#1315 := (iff #83 #1314)
#1311 := (iff #82 #1313)
#1312 := [rewrite]: #1311
#1316 := [quant-intro #1312]: #1315
#1319 := [monotonicity #1316]: #1318
#1900 := [monotonicity #1319 #1897]: #1899
#1903 := [monotonicity #1316 #1900]: #1902
#1309 := (iff #1244 #1308)
#1306 := (iff #451 #81)
#1307 := [rewrite]: #1306
#1310 := [monotonicity #1307]: #1309
#1906 := [monotonicity #1310 #1903]: #1905
#1909 := [monotonicity #1307 #1906]: #1908
#1923 := [monotonicity #1909]: #1922
#1926 := [monotonicity #1923]: #1925
#1919 := (iff #1286 #1918)
#1916 := (iff #434 #1915)
#1913 := (iff #429 #1912)
#1910 := (iff #423 #70)
#1911 := [rewrite]: #1910
#1914 := [monotonicity #1911]: #1913
#1917 := [quant-intro #1914]: #1916
#1920 := [monotonicity #1917]: #1919
#1929 := [monotonicity #1920 #1926]: #1928
#1934 := [trans #1929 #1932]: #1933
#1937 := [monotonicity #1934]: #1936
#1304 := (iff #293 #1303)
#1301 := (iff #292 #1287)
#1292 := (implies true #1287)
#1295 := (iff #1292 #1287)
#1296 := [rewrite]: #1295
#1299 := (iff #292 #1292)
#1297 := (iff #291 #1287)
#1293 := (iff #291 #1292)
#1290 := (iff #290 #1287)
#1283 := (implies #434 #1278)
#1288 := (iff #1283 #1287)
#1289 := [rewrite]: #1288
#1284 := (iff #290 #1283)
#1281 := (iff #289 #1278)
#1274 := (implies #448 #1269)
#1279 := (iff #1274 #1278)
#1280 := [rewrite]: #1279
#1275 := (iff #289 #1274)
#1272 := (iff #288 #1269)
#1265 := (implies #79 #1253)
#1270 := (iff #1265 #1269)
#1271 := [rewrite]: #1270
#1266 := (iff #288 #1265)
#1263 := (iff #287 #1253)
#1258 := (implies true #1253)
#1261 := (iff #1258 #1253)
#1262 := [rewrite]: #1261
#1259 := (iff #287 #1258)
#1256 := (iff #286 #1253)
#1250 := (and #1245 #451)
#1254 := (iff #1250 #1253)
#1255 := [rewrite]: #1254
#1251 := (iff #286 #1250)
#452 := (iff #81 #451)
#453 := [rewrite]: #452
#1248 := (iff #285 #1245)
#1241 := (implies #451 #1236)
#1246 := (iff #1241 #1245)
#1247 := [rewrite]: #1246
#1242 := (iff #285 #1241)
#1239 := (iff #284 #1236)
#1233 := (and #1228 #83)
#1237 := (iff #1233 #1236)
#1238 := [rewrite]: #1237
#1234 := (iff #284 #1233)
#1231 := (iff #283 #1228)
#1224 := (implies #83 #1219)
#1229 := (iff #1224 #1228)
#1230 := [rewrite]: #1229
#1225 := (iff #283 #1224)
#1222 := (iff #282 #1219)
#1216 := (and #1211 #466)
#1220 := (iff #1216 #1219)
#1221 := [rewrite]: #1220
#1217 := (iff #282 #1216)
#467 := (iff #89 #466)
#464 := (iff #88 #461)
#457 := (implies #454 #87)
#462 := (iff #457 #461)
#463 := [rewrite]: #462
#458 := (iff #88 #457)
#455 := (iff #85 #454)
#456 := [rewrite]: #455
#459 := [monotonicity #456]: #458
#465 := [trans #459 #463]: #464
#468 := [quant-intro #465]: #467
#1214 := (iff #281 #1211)
#1207 := (implies #466 #1202)
#1212 := (iff #1207 #1211)
#1213 := [rewrite]: #1212
#1208 := (iff #281 #1207)
#1205 := (iff #280 #1202)
#1199 := (and #1194 #481)
#1203 := (iff #1199 #1202)
#1204 := [rewrite]: #1203
#1200 := (iff #280 #1199)
#482 := (iff #97 #481)
#479 := (iff #96 #476)
#472 := (implies #469 #95)
#477 := (iff #472 #476)
#478 := [rewrite]: #477
#473 := (iff #96 #472)
#470 := (iff #93 #469)
#471 := [rewrite]: #470
#474 := [monotonicity #471]: #473
#480 := [trans #474 #478]: #479
#483 := [quant-intro #480]: #482
#1197 := (iff #279 #1194)
#1190 := (implies #481 #1185)
#1195 := (iff #1190 #1194)
#1196 := [rewrite]: #1195
#1191 := (iff #279 #1190)
#1188 := (iff #278 #1185)
#1182 := (and #1177 #496)
#1186 := (iff #1182 #1185)
#1187 := [rewrite]: #1186
#1183 := (iff #278 #1182)
#497 := (iff #106 #496)
#494 := (iff #105 #491)
#487 := (implies #484 #104)
#492 := (iff #487 #491)
#493 := [rewrite]: #492
#488 := (iff #105 #487)
#485 := (iff #99 #484)
#486 := [rewrite]: #485
#489 := [monotonicity #486]: #488
#495 := [trans #489 #493]: #494
#498 := [quant-intro #495]: #497
#1180 := (iff #277 #1177)
#1173 := (implies #496 #1157)
#1178 := (iff #1173 #1177)
#1179 := [rewrite]: #1178
#1174 := (iff #277 #1173)
#1171 := (iff #276 #1157)
#1162 := (implies true #1157)
#1165 := (iff #1162 #1157)
#1166 := [rewrite]: #1165
#1169 := (iff #276 #1162)
#1167 := (iff #275 #1157)
#1163 := (iff #275 #1162)
#1160 := (iff #274 #1157)
#1153 := (implies #499 #1148)
#1158 := (iff #1153 #1157)
#1159 := [rewrite]: #1158
#1154 := (iff #274 #1153)
#1151 := (iff #273 #1148)
#1144 := (implies #112 #1139)
#1149 := (iff #1144 #1148)
#1150 := [rewrite]: #1149
#1145 := (iff #273 #1144)
#1142 := (iff #272 #1139)
#1135 := (implies #523 #1130)
#1140 := (iff #1135 #1139)
#1141 := [rewrite]: #1140
#1136 := (iff #272 #1135)
#1133 := (iff #271 #1130)
#1126 := (implies #544 #1121)
#1131 := (iff #1126 #1130)
#1132 := [rewrite]: #1131
#1127 := (iff #271 #1126)
#1124 := (iff #270 #1121)
#1117 := (implies #576 #1107)
#1122 := (iff #1117 #1121)
#1123 := [rewrite]: #1122
#1118 := (iff #270 #1117)
#1115 := (iff #269 #1107)
#1110 := (implies true #1107)
#1113 := (iff #1110 #1107)
#1114 := [rewrite]: #1113
#1111 := (iff #269 #1110)
#1108 := (iff #268 #1107)
#1105 := (iff #267 #1091)
#1096 := (implies true #1091)
#1099 := (iff #1096 #1091)
#1100 := [rewrite]: #1099
#1103 := (iff #267 #1096)
#1101 := (iff #266 #1091)
#1097 := (iff #266 #1096)
#1094 := (iff #265 #1091)
#1088 := (implies #911 #1072)
#1092 := (iff #1088 #1091)
#1093 := [rewrite]: #1092
#1089 := (iff #265 #1088)
#1086 := (iff #264 #1072)
#1077 := (implies true #1072)
#1080 := (iff #1077 #1072)
#1081 := [rewrite]: #1080
#1084 := (iff #264 #1077)
#1082 := (iff #263 #1072)
#1078 := (iff #263 #1077)
#1075 := (iff #262 #1072)
#1068 := (implies #930 #1063)
#1073 := (iff #1068 #1072)
#1074 := [rewrite]: #1073
#1069 := (iff #262 #1068)
#1066 := (iff #261 #1063)
#1059 := (implies #229 #1054)
#1064 := (iff #1059 #1063)
#1065 := [rewrite]: #1064
#1060 := (iff #261 #1059)
#1057 := (iff #260 #1054)
#1050 := (implies #933 #1045)
#1055 := (iff #1050 #1054)
#1056 := [rewrite]: #1055
#1051 := (iff #260 #1050)
#1048 := (iff #259 #1045)
#1041 := (implies #234 #1029)
#1046 := (iff #1041 #1045)
#1047 := [rewrite]: #1046
#1042 := (iff #259 #1041)
#1039 := (iff #258 #1029)
#1034 := (implies true #1029)
#1037 := (iff #1034 #1029)
#1038 := [rewrite]: #1037
#1035 := (iff #258 #1034)
#1032 := (iff #257 #1029)
#1026 := (and #1021 #965)
#1030 := (iff #1026 #1029)
#1031 := [rewrite]: #1030
#1027 := (iff #257 #1026)
#966 := (iff #245 #965)
#963 := (iff #244 #960)
#956 := (implies #936 #953)
#961 := (iff #956 #960)
#962 := [rewrite]: #961
#957 := (iff #244 #956)
#954 := (iff #243 #953)
#951 := (iff #242 #948)
#945 := (and #942 #241)
#949 := (iff #945 #948)
#950 := [rewrite]: #949
#946 := (iff #242 #945)
#943 := (iff #240 #942)
#940 := (= #239 #939)
#941 := [rewrite]: #940
#944 := [monotonicity #941]: #943
#947 := [monotonicity #944]: #946
#952 := [trans #947 #950]: #951
#955 := [quant-intro #952]: #954
#937 := (iff #237 #936)
#938 := [rewrite]: #937
#958 := [monotonicity #938 #955]: #957
#964 := [trans #958 #962]: #963
#967 := [quant-intro #964]: #966
#1024 := (iff #256 #1021)
#1017 := (implies #965 #1012)
#1022 := (iff #1017 #1021)
#1023 := [rewrite]: #1022
#1018 := (iff #256 #1017)
#1015 := (iff #255 #1012)
#1009 := (and #1004 #980)
#1013 := (iff #1009 #1012)
#1014 := [rewrite]: #1013
#1010 := (iff #255 #1009)
#981 := (iff #249 #980)
#978 := (iff #248 #975)
#971 := (implies #246 #968)
#976 := (iff #971 #975)
#977 := [rewrite]: #976
#972 := (iff #248 #971)
#969 := (iff #247 #968)
#970 := [monotonicity #941]: #969
#973 := [monotonicity #970]: #972
#979 := [trans #973 #977]: #978
#982 := [quant-intro #979]: #981
#1007 := (iff #254 #1004)
#1000 := (implies #980 #983)
#1005 := (iff #1000 #1004)
#1006 := [rewrite]: #1005
#1001 := (iff #254 #1000)
#998 := (iff #253 #983)
#993 := (and true #983)
#996 := (iff #993 #983)
#997 := [rewrite]: #996
#994 := (iff #253 #993)
#984 := (iff #251 #983)
#985 := [rewrite]: #984
#991 := (iff #252 true)
#986 := (implies #983 true)
#989 := (iff #986 true)
#990 := [rewrite]: #989
#987 := (iff #252 #986)
#988 := [monotonicity #985]: #987
#992 := [trans #988 #990]: #991
#995 := [monotonicity #992 #985]: #994
#999 := [trans #995 #997]: #998
#1002 := [monotonicity #982 #999]: #1001
#1008 := [trans #1002 #1006]: #1007
#1011 := [monotonicity #1008 #982]: #1010
#1016 := [trans #1011 #1014]: #1015
#1019 := [monotonicity #967 #1016]: #1018
#1025 := [trans #1019 #1023]: #1024
#1028 := [monotonicity #1025 #967]: #1027
#1033 := [trans #1028 #1031]: #1032
#1036 := [monotonicity #1033]: #1035
#1040 := [trans #1036 #1038]: #1039
#1043 := [monotonicity #1040]: #1042
#1049 := [trans #1043 #1047]: #1048
#934 := (iff #231 #933)
#935 := [rewrite]: #934
#1052 := [monotonicity #935 #1049]: #1051
#1058 := [trans #1052 #1056]: #1057
#1061 := [monotonicity #1058]: #1060
#1067 := [trans #1061 #1065]: #1066
#931 := (iff #226 #930)
#932 := [rewrite]: #931
#1070 := [monotonicity #932 #1067]: #1069
#1076 := [trans #1070 #1074]: #1075
#1079 := [monotonicity #1076]: #1078
#1083 := [trans #1079 #1081]: #1082
#1085 := [monotonicity #1083]: #1084
#1087 := [trans #1085 #1081]: #1086
#928 := (iff #224 #911)
#583 := (iff #139 #582)
#580 := (iff #138 #579)
#509 := (iff #118 #508)
#506 := (iff #117 #505)
#507 := [rewrite]: #506
#510 := [monotonicity #507]: #509
#581 := [monotonicity #510]: #580
#584 := [quant-intro #581]: #583
#929 := [monotonicity #584]: #928
#1090 := [monotonicity #929 #1087]: #1089
#1095 := [trans #1090 #1093]: #1094
#1098 := [monotonicity #1095]: #1097
#1102 := [trans #1098 #1100]: #1101
#1104 := [monotonicity #1102]: #1103
#1106 := [trans #1104 #1100]: #1105
#926 := (iff #223 #912)
#917 := (implies true #912)
#920 := (iff #917 #912)
#921 := [rewrite]: #920
#924 := (iff #223 #917)
#922 := (iff #222 #912)
#918 := (iff #222 #917)
#915 := (iff #221 #912)
#908 := (implies #582 #903)
#913 := (iff #908 #912)
#914 := [rewrite]: #913
#909 := (iff #221 #908)
#906 := (iff #220 #903)
#588 := (not #585)
#900 := (implies #588 #895)
#904 := (iff #900 #903)
#905 := [rewrite]: #904
#901 := (iff #220 #900)
#898 := (iff #219 #895)
#891 := (implies #145 #886)
#896 := (iff #891 #895)
#897 := [rewrite]: #896
#892 := (iff #219 #891)
#889 := (iff #218 #886)
#882 := (implies #599 #877)
#887 := (iff #882 #886)
#888 := [rewrite]: #887
#883 := (iff #218 #882)
#880 := (iff #217 #877)
#873 := (implies #151 #868)
#878 := (iff #873 #877)
#879 := [rewrite]: #878
#874 := (iff #217 #873)
#871 := (iff #216 #868)
#864 := (implies #613 #859)
#869 := (iff #864 #868)
#870 := [rewrite]: #869
#865 := (iff #216 #864)
#862 := (iff #215 #859)
#855 := (implies #627 #850)
#860 := (iff #855 #859)
#861 := [rewrite]: #860
#856 := (iff #215 #855)
#853 := (iff #214 #850)
#847 := (and #842 #167)
#851 := (iff #847 #850)
#852 := [rewrite]: #851
#848 := (iff #214 #847)
#845 := (iff #213 #842)
#838 := (implies #167 #833)
#843 := (iff #838 #842)
#844 := [rewrite]: #843
#839 := (iff #213 #838)
#836 := (iff #212 #833)
#830 := (and #825 #642)
#834 := (iff #830 #833)
#835 := [rewrite]: #834
#831 := (iff #212 #830)
#643 := (iff #171 #642)
#640 := (iff #170 #637)
#633 := (implies #630 #616)
#638 := (iff #633 #637)
#639 := [rewrite]: #638
#634 := (iff #170 #633)
#617 := (iff #163 #616)
#618 := [rewrite]: #617
#631 := (iff #169 #630)
#632 := [rewrite]: #631
#635 := [monotonicity #632 #618]: #634
#641 := [trans #635 #639]: #640
#644 := [quant-intro #641]: #643
#828 := (iff #211 #825)
#821 := (implies #642 #805)
#826 := (iff #821 #825)
#827 := [rewrite]: #826
#822 := (iff #211 #821)
#819 := (iff #210 #805)
#810 := (implies true #805)
#813 := (iff #810 #805)
#814 := [rewrite]: #813
#817 := (iff #210 #810)
#815 := (iff #209 #805)
#811 := (iff #209 #810)
#808 := (iff #208 #805)
#802 := (and #797 #645)
#806 := (iff #802 #805)
#807 := [rewrite]: #806
#803 := (iff #208 #802)
#646 := (iff #173 #645)
#647 := [rewrite]: #646
#800 := (iff #207 #797)
#793 := (implies #645 #788)
#798 := (iff #793 #797)
#799 := [rewrite]: #798
#794 := (iff #207 #793)
#791 := (iff #206 #788)
#785 := (and #780 #175)
#789 := (iff #785 #788)
#790 := [rewrite]: #789
#786 := (iff #206 #785)
#783 := (iff #205 #780)
#776 := (implies #175 #771)
#781 := (iff #776 #780)
#782 := [rewrite]: #781
#777 := (iff #205 #776)
#774 := (iff #204 #771)
#768 := (and #763 #670)
#772 := (iff #768 #771)
#773 := [rewrite]: #772
#769 := (iff #204 #768)
#671 := (iff #183 #670)
#668 := (iff #182 #665)
#661 := (implies #656 #181)
#666 := (iff #661 #665)
#667 := [rewrite]: #666
#662 := (iff #182 #661)
#659 := (iff #179 #656)
#653 := (and #648 #636)
#657 := (iff #653 #656)
#658 := [rewrite]: #657
#654 := (iff #179 #653)
#651 := (iff #178 #636)
#652 := [monotonicity #632]: #651
#649 := (iff #177 #648)
#650 := [rewrite]: #649
#655 := [monotonicity #650 #652]: #654
#660 := [trans #655 #658]: #659
#663 := [monotonicity #660]: #662
#669 := [trans #663 #667]: #668
#672 := [quant-intro #669]: #671
#766 := (iff #203 #763)
#759 := (implies #670 #754)
#764 := (iff #759 #763)
#765 := [rewrite]: #764
#760 := (iff #203 #759)
#757 := (iff #202 #754)
#751 := (and #746 #691)
#755 := (iff #751 #754)
#756 := [rewrite]: #755
#752 := (iff #202 #751)
#692 := (iff #188 #691)
#689 := (iff #187 #686)
#682 := (implies #673 #679)
#687 := (iff #682 #686)
#688 := [rewrite]: #687
#683 := (iff #187 #682)
#680 := (iff #186 #679)
#677 := (= #185 #676)
#678 := [rewrite]: #677
#681 := [monotonicity #678]: #680
#674 := (iff #184 #673)
#675 := [monotonicity #632]: #674
#684 := [monotonicity #675 #681]: #683
#690 := [trans #684 #688]: #689
#693 := [quant-intro #690]: #692
#749 := (iff #201 #746)
#742 := (implies #691 #723)
#747 := (iff #742 #746)
#748 := [rewrite]: #747
#743 := (iff #201 #742)
#740 := (iff #200 #723)
#735 := (and true #723)
#738 := (iff #735 #723)
#739 := [rewrite]: #738
#736 := (iff #200 #735)
#724 := (iff #197 #723)
#721 := (iff #196 #718)
#714 := (implies #694 #711)
#719 := (iff #714 #718)
#720 := [rewrite]: #719
#715 := (iff #196 #714)
#712 := (iff #195 #711)
#709 := (iff #194 #708)
#706 := (iff #193 #703)
#700 := (and #630 #192)
#704 := (iff #700 #703)
#705 := [rewrite]: #704
#701 := (iff #193 #700)
#702 := [monotonicity #632]: #701
#707 := [trans #702 #705]: #706
#698 := (iff #191 #697)
#699 := [monotonicity #678]: #698
#710 := [monotonicity #699 #707]: #709
#713 := [quant-intro #710]: #712
#695 := (iff #190 #694)
#696 := [rewrite]: #695
#716 := [monotonicity #696 #713]: #715
#722 := [trans #716 #720]: #721
#725 := [quant-intro #722]: #724
#733 := (iff #199 true)
#728 := (implies #723 true)
#731 := (iff #728 true)
#732 := [rewrite]: #731
#729 := (iff #199 #728)
#726 := (iff #198 true)
#727 := [rewrite]: #726
#730 := [monotonicity #725 #727]: #729
#734 := [trans #730 #732]: #733
#737 := [monotonicity #734 #725]: #736
#741 := [trans #737 #739]: #740
#744 := [monotonicity #693 #741]: #743
#750 := [trans #744 #748]: #749
#753 := [monotonicity #750 #693]: #752
#758 := [trans #753 #756]: #757
#761 := [monotonicity #672 #758]: #760
#767 := [trans #761 #765]: #766
#770 := [monotonicity #767 #672]: #769
#775 := [trans #770 #773]: #774
#778 := [monotonicity #775]: #777
#784 := [trans #778 #782]: #783
#787 := [monotonicity #784]: #786
#792 := [trans #787 #790]: #791
#795 := [monotonicity #647 #792]: #794
#801 := [trans #795 #799]: #800
#804 := [monotonicity #801 #647]: #803
#809 := [trans #804 #807]: #808
#812 := [monotonicity #809]: #811
#816 := [trans #812 #814]: #815
#818 := [monotonicity #816]: #817
#820 := [trans #818 #814]: #819
#823 := [monotonicity #644 #820]: #822
#829 := [trans #823 #827]: #828
#832 := [monotonicity #829 #644]: #831
#837 := [trans #832 #835]: #836
#840 := [monotonicity #837]: #839
#846 := [trans #840 #844]: #845
#849 := [monotonicity #846]: #848
#854 := [trans #849 #852]: #853
#628 := (iff #165 #627)
#625 := (iff #164 #622)
#619 := (implies #162 #616)
#623 := (iff #619 #622)
#624 := [rewrite]: #623
#620 := (iff #164 #619)
#621 := [monotonicity #618]: #620
#626 := [trans #621 #624]: #625
#629 := [quant-intro #626]: #628
#857 := [monotonicity #629 #854]: #856
#863 := [trans #857 #861]: #862
#614 := (iff #161 #613)
#611 := (iff #160 #608)
#605 := (implies #157 #602)
#609 := (iff #605 #608)
#610 := [rewrite]: #609
#606 := (iff #160 #605)
#603 := (iff #159 #602)
#604 := [rewrite]: #603
#607 := [monotonicity #604]: #606
#612 := [trans #607 #610]: #611
#615 := [quant-intro #612]: #614
#866 := [monotonicity #615 #863]: #865
#872 := [trans #866 #870]: #871
#875 := [monotonicity #872]: #874
#881 := [trans #875 #879]: #880
#600 := (iff #148 #599)
#597 := (iff #147 #594)
#591 := (implies #508 #146)
#595 := (iff #591 #594)
#596 := [rewrite]: #595
#592 := (iff #147 #591)
#593 := [monotonicity #510]: #592
#598 := [trans #593 #596]: #597
#601 := [quant-intro #598]: #600
#884 := [monotonicity #601 #881]: #883
#890 := [trans #884 #888]: #889
#893 := [monotonicity #890]: #892
#899 := [trans #893 #897]: #898
#589 := (iff #143 #588)
#586 := (iff #142 #585)
#587 := [rewrite]: #586
#590 := [monotonicity #587]: #589
#902 := [monotonicity #590 #899]: #901
#907 := [trans #902 #905]: #906
#910 := [monotonicity #584 #907]: #909
#916 := [trans #910 #914]: #915
#919 := [monotonicity #916]: #918
#923 := [trans #919 #921]: #922
#925 := [monotonicity #923]: #924
#927 := [trans #925 #921]: #926
#1109 := [monotonicity #927 #1106]: #1108
#1112 := [monotonicity #1109]: #1111
#1116 := [trans #1112 #1114]: #1115
#577 := (iff #137 #576)
#574 := (iff #136 #571)
#567 := (implies #547 #564)
#572 := (iff #567 #571)
#573 := [rewrite]: #572
#568 := (iff #136 #567)
#565 := (iff #135 #564)
#562 := (iff #134 #561)
#559 := (iff #133 #556)
#553 := (and #505 #132)
#557 := (iff #553 #556)
#558 := [rewrite]: #557
#554 := (iff #133 #553)
#555 := [monotonicity #507]: #554
#560 := [trans #555 #558]: #559
#551 := (iff #131 #550)
#530 := (= #125 #529)
#531 := [rewrite]: #530
#552 := [monotonicity #531]: #551
#563 := [monotonicity #552 #560]: #562
#566 := [quant-intro #563]: #565
#548 := (iff #130 #547)
#549 := [rewrite]: #548
#569 := [monotonicity #549 #566]: #568
#575 := [trans #569 #573]: #574
#578 := [quant-intro #575]: #577
#1119 := [monotonicity #578 #1116]: #1118
#1125 := [trans #1119 #1123]: #1124
#545 := (iff #128 #544)
#542 := (iff #127 #539)
#535 := (implies #526 #532)
#540 := (iff #535 #539)
#541 := [rewrite]: #540
#536 := (iff #127 #535)
#533 := (iff #126 #532)
#534 := [monotonicity #531]: #533
#527 := (iff #124 #526)
#528 := [monotonicity #507]: #527
#537 := [monotonicity #528 #534]: #536
#543 := [trans #537 #541]: #542
#546 := [quant-intro #543]: #545
#1128 := [monotonicity #546 #1125]: #1127
#1134 := [trans #1128 #1132]: #1133
#524 := (iff #123 #523)
#521 := (iff #122 #518)
#514 := (implies #511 #121)
#519 := (iff #514 #518)
#520 := [rewrite]: #519
#515 := (iff #122 #514)
#512 := (iff #119 #511)
#503 := (iff #115 #502)
#504 := [rewrite]: #503
#513 := [monotonicity #504 #510]: #512
#516 := [monotonicity #513]: #515
#522 := [trans #516 #520]: #521
#525 := [quant-intro #522]: #524
#1137 := [monotonicity #525 #1134]: #1136
#1143 := [trans #1137 #1141]: #1142
#1146 := [monotonicity #1143]: #1145
#1152 := [trans #1146 #1150]: #1151
#500 := (iff #109 #499)
#501 := [rewrite]: #500
#1155 := [monotonicity #501 #1152]: #1154
#1161 := [trans #1155 #1159]: #1160
#1164 := [monotonicity #1161]: #1163
#1168 := [trans #1164 #1166]: #1167
#1170 := [monotonicity #1168]: #1169
#1172 := [trans #1170 #1166]: #1171
#1175 := [monotonicity #498 #1172]: #1174
#1181 := [trans #1175 #1179]: #1180
#1184 := [monotonicity #1181 #498]: #1183
#1189 := [trans #1184 #1187]: #1188
#1192 := [monotonicity #483 #1189]: #1191
#1198 := [trans #1192 #1196]: #1197
#1201 := [monotonicity #1198 #483]: #1200
#1206 := [trans #1201 #1204]: #1205
#1209 := [monotonicity #468 #1206]: #1208
#1215 := [trans #1209 #1213]: #1214
#1218 := [monotonicity #1215 #468]: #1217
#1223 := [trans #1218 #1221]: #1222
#1226 := [monotonicity #1223]: #1225
#1232 := [trans #1226 #1230]: #1231
#1235 := [monotonicity #1232]: #1234
#1240 := [trans #1235 #1238]: #1239
#1243 := [monotonicity #453 #1240]: #1242
#1249 := [trans #1243 #1247]: #1248
#1252 := [monotonicity #1249 #453]: #1251
#1257 := [trans #1252 #1255]: #1256
#1260 := [monotonicity #1257]: #1259
#1264 := [trans #1260 #1262]: #1263
#1267 := [monotonicity #1264]: #1266
#1273 := [trans #1267 #1271]: #1272
#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
#1276 := [monotonicity #450 #1273]: #1275
#1282 := [trans #1276 #1280]: #1281
#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
#1285 := [monotonicity #436 #1282]: #1284
#1291 := [trans #1285 #1289]: #1290
#1294 := [monotonicity #1291]: #1293
#1298 := [trans #1294 #1296]: #1297
#1300 := [monotonicity #1298]: #1299
#1302 := [trans #1300 #1296]: #1301
#1305 := [monotonicity #1302]: #1304
#1939 := [trans #1305 #1937]: #1938
#422 := [asserted]: #293
#1940 := [mp #422 #1939]: #1935
#1941 := [not-or-elim #1940]: #79
#2004 := [mp~ #1941 #1966]: #79
#4354 := [mp #2004 #4353]: #4349
#5709 := (not #4349)
#5715 := (or #5709 #2266)
#5470 := [quant-inst]: #5715
#6005 := [unit-resolution #5470 #4354 #6004]: false
#6009 := [lemma #6005]: #2266
#3870 := (or #2166 #2033)
#3957 := [def-axiom]: #3870
#7294 := [unit-resolution #3957 #6009]: #2166
#2421 := (not #2166)
#4707 := (or #2421 #4704)
#4710 := (not #4707)
#4362 := (forall (vars (?x27 T2)) (:pat #4355) #1313)
#4367 := (not #4362)
#4713 := (or #4367 #4710)
#4716 := (not #4713)
decl ?x27!0 :: T2
#2011 := ?x27!0
#2012 := (uf_12 ?x27!0)
#2013 := (>= #2012 0::int)
#2014 := (not #2013)
#4719 := (or #2014 #4716)
#4722 := (not #4719)
#4725 := (or #1308 #4722)
#4728 := (not #4725)
#4735 := (forall (vars (?x24 T2)) (:pat #4355) #1912)
#4738 := (iff #1915 #4735)
#4736 := (iff #1912 #1912)
#4737 := [refl]: #4736
#4739 := [quant-intro #4737]: #4738
#2238 := (~ #1915 #1915)
#2072 := (~ #1912 #1912)
#2073 := [refl]: #2072
#2239 := [nnf-pos #2073]: #2238
#1945 := [not-or-elim #1940]: #1915
#2265 := [mp~ #1945 #2239]: #1915
#4740 := [mp #2265 #4739]: #4735
#5485 := [hypothesis]: #1308
#5347 := (not #4735)
#5348 := (or #5347 #81)
#4030 := (= uf_11 uf_11)
#4033 := (not #4030)
#4034 := (or #4033 #81)
#5341 := (or #5347 #4034)
#5350 := (iff #5341 #5348)
#5361 := (iff #5348 #5348)
#5363 := [rewrite]: #5361
#5108 := (iff #4034 #81)
#5046 := (or false #81)
#5106 := (iff #5046 #81)
#5107 := [rewrite]: #5106
#5104 := (iff #4034 #5046)
#3956 := (iff #4033 false)
#6849 := (not true)
#6852 := (iff #6849 false)
#6853 := [rewrite]: #6852
#5051 := (iff #4033 #6849)
#4038 := (iff #4030 true)
#5050 := [rewrite]: #4038
#5052 := [monotonicity #5050]: #5051
#3939 := [trans #5052 #6853]: #3956
#5105 := [monotonicity #3939]: #5104
#5346 := [trans #5105 #5107]: #5108
#5351 := [monotonicity #5346]: #5350
#5364 := [trans #5351 #5363]: #5350
#5349 := [quant-inst]: #5341
#5484 := [mp #5349 #5364]: #5348
#5486 := [unit-resolution #5484 #5485 #4740]: false
#5487 := [lemma #5486]: #81
#4731 := (or #1308 #4728)
#3666 := (forall (vars (?x66 T2) (?x67 T2)) #3661)
#3672 := (not #3666)
#3673 := (or #251 #3672)
#3674 := (not #3673)
#3701 := (or #3674 #3698)
#3708 := (not #3701)
#3644 := (forall (vars (?x64 T2)) #3639)
#3707 := (not #3644)
#3709 := (or #3707 #3708)
#3710 := (not #3709)
#3607 := (forall (vars (?x65 T2)) #3596)
#3613 := (not #3607)
#3614 := (or #2460 #2993 #3613)
#3615 := (not #3614)
#3715 := (or #3615 #3710)
#3722 := (not #3715)
#3592 := (forall (vars (?x41 T2)) #3581)
#3721 := (not #3592)
#3723 := (or #1062 #1044 #1071 #1053 #3721 #3722)
#3724 := (not #3723)
#3486 := (forall (vars (?x53 T2)) #3475)
#3493 := (not #3486)
#3471 := (forall (vars (?x50 T2) (?x51 T2)) #3466)
#3492 := (not #3471)
#3494 := (or #2318 #2893 #3492 #3493)
#3495 := (not #3494)
#3500 := (or #3449 #3495)
#3507 := (not #3500)
#3426 := (forall (vars (?x48 T2) (?x49 T2)) #3421)
#3506 := (not #3426)
#3508 := (or #3506 #3507)
#3509 := (not #3508)
#3514 := (or #3403 #3509)
#3520 := (not #3514)
#3521 := (or #1501 #3520)
#3522 := (not #3521)
#3527 := (or #2235 #3522)
#3533 := (not #3527)
#3534 := (or #1492 #3533)
#3535 := (not #3534)
#3540 := (or #1492 #3535)
#3546 := (not #3540)
#3547 := (or #824 #3546)
#3548 := (not #3547)
#3553 := (or #2836 #3548)
#3559 := (not #3553)
#3560 := (or #1487 #3559)
#3561 := (not #3560)
#3566 := (or #2822 #3561)
#3574 := (not #3566)
#3380 := (forall (vars (?x43 T2)) #3375)
#3573 := (not #3380)
#3362 := (forall (vars (?x44 T2)) #3359)
#3572 := (not #3362)
#3575 := (or #876 #585 #1652 #1656 #2412 #2415 #3572 #3573 #3574)
#3576 := (not #3575)
#3729 := (or #3576 #3724)
#3739 := (not #3729)
#3352 := (forall (vars (?x39 T2)) #3347)
#3738 := (not #3352)
#3324 := (forall (vars (?x32 T2)) #3319)
#3737 := (not #3324)
#3296 := (forall (vars (?x35 T2) (?x36 T2)) #3291)
#3736 := (not #3296)
#3273 := (forall (vars (?x37 T2) (?x38 T2)) #3268)
#3735 := (not #3273)
#3740 := (or #1854 #1849 #3735 #3736 #3737 #3738 #3739)
#3741 := (not #3740)
#3241 := (forall (vars (?x33 T2)) #3230)
#3247 := (not #3241)
#3248 := (or #2085 #2688 #3247)
#3249 := (not #3248)
#3746 := (or #3249 #3741)
#3753 := (not #3746)
#3226 := (forall (vars (?x30 T2) (?x31 T2)) #3221)
#3752 := (not #3226)
#3754 := (or #3752 #3753)
#3755 := (not #3754)
#3760 := (or #3204 #3755)
#3767 := (not #3760)
#3181 := (forall (vars (?x28 T2) (?x29 T2)) #3176)
#3766 := (not #3181)
#3768 := (or #3766 #3767)
#3769 := (not #3768)
#3774 := (or #2421 #3769)
#3780 := (not #3774)
#3781 := (or #1317 #3780)
#3782 := (not #3781)
#3787 := (or #2014 #3782)
#3793 := (not #3787)
#3794 := (or #1308 #3793)
#3795 := (not #3794)
#3800 := (or #1308 #3795)
#4732 := (iff #3800 #4731)
#4729 := (iff #3795 #4728)
#4726 := (iff #3794 #4725)
#4723 := (iff #3793 #4722)
#4720 := (iff #3787 #4719)
#4717 := (iff #3782 #4716)
#4714 := (iff #3781 #4713)
#4711 := (iff #3780 #4710)
#4708 := (iff #3774 #4707)
#4705 := (iff #3769 #4704)
#4702 := (iff #3768 #4701)
#4699 := (iff #3767 #4698)
#4696 := (iff #3760 #4695)
#4693 := (iff #3755 #4692)
#4690 := (iff #3754 #4689)
#4687 := (iff #3753 #4686)
#4684 := (iff #3746 #4683)
#4681 := (iff #3741 #4680)
#4678 := (iff #3740 #4677)
#4675 := (iff #3739 #4674)
#4672 := (iff #3729 #4671)
#4669 := (iff #3724 #4668)
#4666 := (iff #3723 #4665)
#4663 := (iff #3722 #4662)
#4660 := (iff #3715 #4659)
#4657 := (iff #3710 #4656)
#4654 := (iff #3709 #4653)
#4651 := (iff #3708 #4650)
#4648 := (iff #3701 #4647)
#4645 := (iff #3674 #4644)
#4642 := (iff #3673 #4641)
#4639 := (iff #3672 #4638)
#4636 := (iff #3666 #4633)
#4634 := (iff #3661 #3661)
#4635 := [refl]: #4634
#4637 := [quant-intro #4635]: #4636
#4640 := [monotonicity #4637]: #4639
#4643 := [monotonicity #4640]: #4642
#4646 := [monotonicity #4643]: #4645
#4649 := [monotonicity #4646]: #4648
#4652 := [monotonicity #4649]: #4651
#4631 := (iff #3707 #4630)
#4628 := (iff #3644 #4625)
#4626 := (iff #3639 #3639)
#4627 := [refl]: #4626
#4629 := [quant-intro #4627]: #4628
#4632 := [monotonicity #4629]: #4631
#4655 := [monotonicity #4632 #4652]: #4654
#4658 := [monotonicity #4655]: #4657
#4623 := (iff #3615 #4622)
#4620 := (iff #3614 #4619)
#4617 := (iff #3613 #4616)
#4614 := (iff #3607 #4611)
#4612 := (iff #3596 #3596)
#4613 := [refl]: #4612
#4615 := [quant-intro #4613]: #4614
#4618 := [monotonicity #4615]: #4617
#4621 := [monotonicity #4618]: #4620
#4624 := [monotonicity #4621]: #4623
#4661 := [monotonicity #4624 #4658]: #4660
#4664 := [monotonicity #4661]: #4663
#4607 := (iff #3721 #4606)
#4604 := (iff #3592 #4601)
#4602 := (iff #3581 #3581)
#4603 := [refl]: #4602
#4605 := [quant-intro #4603]: #4604
#4608 := [monotonicity #4605]: #4607
#4667 := [monotonicity #4608 #4664]: #4666
#4670 := [monotonicity #4667]: #4669
#4599 := (iff #3576 #4598)
#4596 := (iff #3575 #4595)
#4593 := (iff #3574 #4592)
#4590 := (iff #3566 #4589)
#4587 := (iff #3561 #4586)
#4584 := (iff #3560 #4583)
#4581 := (iff #3559 #4580)
#4578 := (iff #3553 #4577)
#4575 := (iff #3548 #4574)
#4572 := (iff #3547 #4571)
#4569 := (iff #3546 #4568)
#4566 := (iff #3540 #4565)
#4563 := (iff #3535 #4562)
#4560 := (iff #3534 #4559)
#4557 := (iff #3533 #4556)
#4554 := (iff #3527 #4553)
#4551 := (iff #3522 #4550)
#4548 := (iff #3521 #4547)
#4545 := (iff #3520 #4544)
#4542 := (iff #3514 #4541)
#4539 := (iff #3509 #4538)
#4536 := (iff #3508 #4535)
#4533 := (iff #3507 #4532)
#4530 := (iff #3500 #4529)
#4527 := (iff #3495 #4526)
#4524 := (iff #3494 #4523)
#4521 := (iff #3493 #4520)
#4518 := (iff #3486 #4515)
#4516 := (iff #3475 #3475)
#4517 := [refl]: #4516
#4519 := [quant-intro #4517]: #4518
#4522 := [monotonicity #4519]: #4521
#4512 := (iff #3492 #4511)
#4509 := (iff #3471 #4506)
#4507 := (iff #3466 #3466)
#4508 := [refl]: #4507
#4510 := [quant-intro #4508]: #4509
#4513 := [monotonicity #4510]: #4512
#4525 := [monotonicity #4513 #4522]: #4524
#4528 := [monotonicity #4525]: #4527
#4531 := [monotonicity #4528]: #4530
#4534 := [monotonicity #4531]: #4533
#4504 := (iff #3506 #4503)
#4501 := (iff #3426 #4498)
#4499 := (iff #3421 #3421)
#4500 := [refl]: #4499
#4502 := [quant-intro #4500]: #4501
#4505 := [monotonicity #4502]: #4504
#4537 := [monotonicity #4505 #4534]: #4536
#4540 := [monotonicity #4537]: #4539
#4543 := [monotonicity #4540]: #4542
#4546 := [monotonicity #4543]: #4545
#4495 := (iff #1501 #4494)
#4492 := (iff #1498 #4489)
#4490 := (iff #1495 #1495)
#4491 := [refl]: #4490
#4493 := [quant-intro #4491]: #4492
#4496 := [monotonicity #4493]: #4495
#4549 := [monotonicity #4496 #4546]: #4548
#4552 := [monotonicity #4549]: #4551
#4555 := [monotonicity #4552]: #4554
#4558 := [monotonicity #4555]: #4557
#4561 := [monotonicity #4558]: #4560
#4564 := [monotonicity #4561]: #4563
#4567 := [monotonicity #4564]: #4566
#4570 := [monotonicity #4567]: #4569
#4487 := (iff #824 #4486)
#4484 := (iff #642 #4481)
#4482 := (iff #637 #637)
#4483 := [refl]: #4482
#4485 := [quant-intro #4483]: #4484
#4488 := [monotonicity #4485]: #4487
#4573 := [monotonicity #4488 #4570]: #4572
#4576 := [monotonicity #4573]: #4575
#4579 := [monotonicity #4576]: #4578
#4582 := [monotonicity #4579]: #4581
#4478 := (iff #1487 #4477)
#4475 := (iff #1484 #4472)
#4473 := (iff #1479 #1479)
#4474 := [refl]: #4473
#4476 := [quant-intro #4474]: #4475
#4479 := [monotonicity #4476]: #4478
#4585 := [monotonicity #4479 #4582]: #4584
#4588 := [monotonicity #4585]: #4587
#4591 := [monotonicity #4588]: #4590
#4594 := [monotonicity #4591]: #4593
#4470 := (iff #3573 #4469)
#4467 := (iff #3380 #4464)
#4465 := (iff #3375 #3375)
#4466 := [refl]: #4465
#4468 := [quant-intro #4466]: #4467
#4471 := [monotonicity #4468]: #4470
#4462 := (iff #3572 #4461)
#4459 := (iff #3362 #4456)
#4457 := (iff #3359 #3359)
#4458 := [refl]: #4457
#4460 := [quant-intro #4458]: #4459
#4463 := [monotonicity #4460]: #4462
#4452 := (iff #1652 #4451)
#4449 := (iff #1649 #4446)
#4447 := (iff #1644 #1644)
#4448 := [refl]: #4447
#4450 := [quant-intro #4448]: #4449
#4453 := [monotonicity #4450]: #4452
#4597 := [monotonicity #4453 #4463 #4471 #4594]: #4596
#4600 := [monotonicity #4597]: #4599
#4673 := [monotonicity #4600 #4670]: #4672
#4676 := [monotonicity #4673]: #4675
#4443 := (iff #3738 #4442)
#4440 := (iff #3352 #4437)
#4438 := (iff #3347 #3347)
#4439 := [refl]: #4438
#4441 := [quant-intro #4439]: #4440
#4444 := [monotonicity #4441]: #4443
#4435 := (iff #3737 #4434)
#4432 := (iff #3324 #4429)
#4430 := (iff #3319 #3319)
#4431 := [refl]: #4430
#4433 := [quant-intro #4431]: #4432
#4436 := [monotonicity #4433]: #4435
#4427 := (iff #3736 #4426)
#4424 := (iff #3296 #4421)
#4422 := (iff #3291 #3291)
#4423 := [refl]: #4422
#4425 := [quant-intro #4423]: #4424
#4428 := [monotonicity #4425]: #4427
#4418 := (iff #3735 #4417)
#4415 := (iff #3273 #4412)
#4413 := (iff #3268 #3268)
#4414 := [refl]: #4413
#4416 := [quant-intro #4414]: #4415
#4419 := [monotonicity #4416]: #4418
#4410 := (iff #1849 #4409)
#4407 := (iff #1846 #4404)
#4405 := (iff #1843 #1843)
#4406 := [refl]: #4405
#4408 := [quant-intro #4406]: #4407
#4411 := [monotonicity #4408]: #4410
#4679 := [monotonicity #4411 #4419 #4428 #4436 #4444 #4676]: #4678
#4682 := [monotonicity #4679]: #4681
#4401 := (iff #3249 #4400)
#4398 := (iff #3248 #4397)
#4395 := (iff #3247 #4394)
#4392 := (iff #3241 #4389)
#4390 := (iff #3230 #3230)
#4391 := [refl]: #4390
#4393 := [quant-intro #4391]: #4392
#4396 := [monotonicity #4393]: #4395
#4399 := [monotonicity #4396]: #4398
#4402 := [monotonicity #4399]: #4401
#4685 := [monotonicity #4402 #4682]: #4684
#4688 := [monotonicity #4685]: #4687
#4386 := (iff #3752 #4385)
#4383 := (iff #3226 #4380)
#4381 := (iff #3221 #3221)
#4382 := [refl]: #4381
#4384 := [quant-intro #4382]: #4383
#4387 := [monotonicity #4384]: #4386
#4691 := [monotonicity #4387 #4688]: #4690
#4694 := [monotonicity #4691]: #4693
#4697 := [monotonicity #4694]: #4696
#4700 := [monotonicity #4697]: #4699
#4377 := (iff #3766 #4376)
#4374 := (iff #3181 #4371)
#4372 := (iff #3176 #3176)
#4373 := [refl]: #4372
#4375 := [quant-intro #4373]: #4374
#4378 := [monotonicity #4375]: #4377
#4703 := [monotonicity #4378 #4700]: #4702
#4706 := [monotonicity #4703]: #4705
#4709 := [monotonicity #4706]: #4708
#4712 := [monotonicity #4709]: #4711
#4368 := (iff #1317 #4367)
#4365 := (iff #1314 #4362)
#4363 := (iff #1313 #1313)
#4364 := [refl]: #4363
#4366 := [quant-intro #4364]: #4365
#4369 := [monotonicity #4366]: #4368
#4715 := [monotonicity #4369 #4712]: #4714
#4718 := [monotonicity #4715]: #4717
#4721 := [monotonicity #4718]: #4720
#4724 := [monotonicity #4721]: #4723
#4727 := [monotonicity #4724]: #4726
#4730 := [monotonicity #4727]: #4729
#4733 := [monotonicity #4730]: #4732
#2527 := (not #2526)
#2523 := (not #2522)
#3081 := (and #2523 #2527)
#3084 := (not #3081)
#3101 := (or #3084 #3096)
#3104 := (not #3101)
#2536 := (not #251)
#2546 := (and #2536 #1756)
#3110 := (or #2546 #3104)
#3054 := (not #3049)
#3072 := (and #3054 #3067)
#3075 := (or #1716 #3072)
#3078 := (forall (vars (?x64 T2)) #3075)
#3115 := (and #3078 #3110)
#2456 := (not #2455)
#3024 := (and #2456 #3021)
#3027 := (not #3024)
#3030 := (forall (vars (?x65 T2)) #3027)
#2996 := (not #2993)
#2461 := (not #2460)
#3036 := (and #2461 #2996 #3030)
#3118 := (or #3036 #3115)
#2441 := (not #1670)
#2444 := (forall (vars (?x41 T2)) #2441)
#3121 := (and #229 #234 #930 #933 #2444 #3118)
#2314 := (not #2313)
#2924 := (and #630 #2314 #2921)
#2927 := (not #2924)
#2930 := (forall (vars (?x53 T2)) #2927)
#2896 := (not #2893)
#2319 := (not #2318)
#2939 := (and #1541 #2319 #2896 #2930)
#2287 := (not #2286)
#2866 := (and #2287 #2289)
#2869 := (not #2866)
#2887 := (or #2869 #2882)
#2890 := (not #2887)
#2944 := (or #2890 #2939)
#2947 := (and #1517 #2944)
#2258 := (not #2257)
#2841 := (and #2255 #2258)
#2844 := (not #2841)
#2860 := (or #2844 #2855)
#2863 := (not #2860)
#2950 := (or #2863 #2947)
#2953 := (and #1498 #2950)
#2956 := (or #2235 #2953)
#2959 := (and #173 #2956)
#2962 := (or #1492 #2959)
#2965 := (and #642 #2962)
#2968 := (or #2836 #2965)
#2971 := (and #1484 #2968)
#2974 := (or #2822 #2971)
#2416 := (not #2415)
#2413 := (not #2412)
#2980 := (and #151 #588 #1473 #1631 #1649 #1657 #2413 #2416 #2974)
#3124 := (or #2980 #3121)
#2780 := (not #2775)
#2798 := (and #2162 #2780 #2793)
#2801 := (or #1413 #2798)
#2804 := (forall (vars (?x39 T2)) #2801)
#2735 := (not #2730)
#2753 := (and #2133 #2735 #2748)
#2759 := (or #1395 #2753)
#2764 := (forall (vars (?x32 T2)) #2759)
#3130 := (and #109 #1821 #1837 #1846 #2764 #2804 #3124)
#2691 := (not #2688)
#2098 := (not #2097)
#2679 := (and #77 #2095 #2098)
#2682 := (not #2679)
#2685 := (forall (vars (?x33 T2)) #2682)
#2086 := (not #2085)
#2715 := (and #2086 #2685 #2691)
#3135 := (or #2715 #3130)
#3138 := (and #1360 #3135)
#2058 := (not #2057)
#2667 := (and #2058 #2059)
#2670 := (not #2667)
#2673 := (or #2664 #2670)
#2676 := (not #2673)
#3141 := (or #2676 #3138)
#3144 := (and #1334 #3141)
#2035 := (not #2034)
#2635 := (and #2033 #2035)
#2638 := (not #2635)
#2654 := (or #2638 #2649)
#2657 := (not #2654)
#3147 := (or #2657 #3144)
#3150 := (and #1314 #3147)
#3153 := (or #2014 #3150)
#3156 := (and #81 #3153)
#3159 := (or #1308 #3156)
#3801 := (iff #3159 #3800)
#3798 := (iff #3156 #3795)
#3790 := (and #81 #3787)
#3796 := (iff #3790 #3795)
#3797 := [rewrite]: #3796
#3791 := (iff #3156 #3790)
#3788 := (iff #3153 #3787)
#3785 := (iff #3150 #3782)
#3777 := (and #1314 #3774)
#3783 := (iff #3777 #3782)
#3784 := [rewrite]: #3783
#3778 := (iff #3150 #3777)
#3775 := (iff #3147 #3774)
#3772 := (iff #3144 #3769)
#3763 := (and #3181 #3760)
#3770 := (iff #3763 #3769)
#3771 := [rewrite]: #3770
#3764 := (iff #3144 #3763)
#3761 := (iff #3141 #3760)
#3758 := (iff #3138 #3755)
#3749 := (and #3226 #3746)
#3756 := (iff #3749 #3755)
#3757 := [rewrite]: #3756
#3750 := (iff #3138 #3749)
#3747 := (iff #3135 #3746)
#3744 := (iff #3130 #3741)
#3732 := (and #109 #3273 #3296 #1846 #3324 #3352 #3729)
#3742 := (iff #3732 #3741)
#3743 := [rewrite]: #3742
#3733 := (iff #3130 #3732)
#3730 := (iff #3124 #3729)
#3727 := (iff #3121 #3724)
#3718 := (and #229 #234 #930 #933 #3592 #3715)
#3725 := (iff #3718 #3724)
#3726 := [rewrite]: #3725
#3719 := (iff #3121 #3718)
#3716 := (iff #3118 #3715)
#3713 := (iff #3115 #3710)
#3704 := (and #3644 #3701)
#3711 := (iff #3704 #3710)
#3712 := [rewrite]: #3711
#3705 := (iff #3115 #3704)
#3702 := (iff #3110 #3701)
#3699 := (iff #3104 #3698)
#3696 := (iff #3101 #3693)
#3679 := (or #2522 #2526)
#3690 := (or #3679 #3096)
#3694 := (iff #3690 #3693)
#3695 := [rewrite]: #3694
#3691 := (iff #3101 #3690)
#3688 := (iff #3084 #3679)
#3680 := (not #3679)
#3683 := (not #3680)
#3686 := (iff #3683 #3679)
#3687 := [rewrite]: #3686
#3684 := (iff #3084 #3683)
#3681 := (iff #3081 #3680)
#3682 := [rewrite]: #3681
#3685 := [monotonicity #3682]: #3684
#3689 := [trans #3685 #3687]: #3688
#3692 := [monotonicity #3689]: #3691
#3697 := [trans #3692 #3695]: #3696
#3700 := [monotonicity #3697]: #3699
#3677 := (iff #2546 #3674)
#3669 := (and #2536 #3666)
#3675 := (iff #3669 #3674)
#3676 := [rewrite]: #3675
#3670 := (iff #2546 #3669)
#3667 := (iff #1756 #3666)
#3664 := (iff #1753 #3661)
#3647 := (or #1347 #1709)
#3658 := (or #3647 #1750)
#3662 := (iff #3658 #3661)
#3663 := [rewrite]: #3662
#3659 := (iff #1753 #3658)
#3656 := (iff #1747 #3647)
#3648 := (not #3647)
#3651 := (not #3648)
#3654 := (iff #3651 #3647)
#3655 := [rewrite]: #3654
#3652 := (iff #1747 #3651)
#3649 := (iff #1744 #3648)
#3650 := [rewrite]: #3649
#3653 := [monotonicity #3650]: #3652
#3657 := [trans #3653 #3655]: #3656
#3660 := [monotonicity #3657]: #3659
#3665 := [trans #3660 #3663]: #3664
#3668 := [quant-intro #3665]: #3667
#3671 := [monotonicity #3668]: #3670
#3678 := [trans #3671 #3676]: #3677
#3703 := [monotonicity #3678 #3700]: #3702
#3645 := (iff #3078 #3644)
#3642 := (iff #3075 #3639)
#3620 := (or #68 #1709)
#3636 := (or #3620 #3633)
#3640 := (iff #3636 #3639)
#3641 := [rewrite]: #3640
#3637 := (iff #3075 #3636)
#3634 := (iff #3072 #3633)
#3635 := [rewrite]: #3634
#3629 := (iff #1716 #3620)
#3621 := (not #3620)
#3624 := (not #3621)
#3627 := (iff #3624 #3620)
#3628 := [rewrite]: #3627
#3625 := (iff #1716 #3624)
#3622 := (iff #1713 #3621)
#3623 := [rewrite]: #3622
#3626 := [monotonicity #3623]: #3625
#3630 := [trans #3626 #3628]: #3629
#3638 := [monotonicity #3630 #3635]: #3637
#3643 := [trans #3638 #3641]: #3642
#3646 := [quant-intro #3643]: #3645
#3706 := [monotonicity #3646 #3703]: #3705
#3714 := [trans #3706 #3712]: #3713
#3618 := (iff #3036 #3615)
#3610 := (and #2461 #2996 #3607)
#3616 := (iff #3610 #3615)
#3617 := [rewrite]: #3616
#3611 := (iff #3036 #3610)
#3608 := (iff #3030 #3607)
#3605 := (iff #3027 #3596)
#3597 := (not #3596)
#3600 := (not #3597)
#3603 := (iff #3600 #3596)
#3604 := [rewrite]: #3603
#3601 := (iff #3027 #3600)
#3598 := (iff #3024 #3597)
#3599 := [rewrite]: #3598
#3602 := [monotonicity #3599]: #3601
#3606 := [trans #3602 #3604]: #3605
#3609 := [quant-intro #3606]: #3608
#3612 := [monotonicity #3609]: #3611
#3619 := [trans #3612 #3617]: #3618
#3717 := [monotonicity #3619 #3714]: #3716
#3593 := (iff #2444 #3592)
#3590 := (iff #2441 #3581)
#3582 := (not #3581)
#3585 := (not #3582)
#3588 := (iff #3585 #3581)
#3589 := [rewrite]: #3588
#3586 := (iff #2441 #3585)
#3583 := (iff #1670 #3582)
#3584 := [rewrite]: #3583
#3587 := [monotonicity #3584]: #3586
#3591 := [trans #3587 #3589]: #3590
#3594 := [quant-intro #3591]: #3593
#3720 := [monotonicity #3594 #3717]: #3719
#3728 := [trans #3720 #3726]: #3727
#3579 := (iff #2980 #3576)
#3569 := (and #151 #588 #3362 #3380 #1649 #1657 #2413 #2416 #3566)
#3577 := (iff #3569 #3576)
#3578 := [rewrite]: #3577
#3570 := (iff #2980 #3569)
#3567 := (iff #2974 #3566)
#3564 := (iff #2971 #3561)
#3556 := (and #1484 #3553)
#3562 := (iff #3556 #3561)
#3563 := [rewrite]: #3562
#3557 := (iff #2971 #3556)
#3554 := (iff #2968 #3553)
#3551 := (iff #2965 #3548)
#3543 := (and #642 #3540)
#3549 := (iff #3543 #3548)
#3550 := [rewrite]: #3549
#3544 := (iff #2965 #3543)
#3541 := (iff #2962 #3540)
#3538 := (iff #2959 #3535)
#3530 := (and #173 #3527)
#3536 := (iff #3530 #3535)
#3537 := [rewrite]: #3536
#3531 := (iff #2959 #3530)
#3528 := (iff #2956 #3527)
#3525 := (iff #2953 #3522)
#3517 := (and #1498 #3514)
#3523 := (iff #3517 #3522)
#3524 := [rewrite]: #3523
#3518 := (iff #2953 #3517)
#3515 := (iff #2950 #3514)
#3512 := (iff #2947 #3509)
#3503 := (and #3426 #3500)
#3510 := (iff #3503 #3509)
#3511 := [rewrite]: #3510
#3504 := (iff #2947 #3503)
#3501 := (iff #2944 #3500)
#3498 := (iff #2939 #3495)
#3489 := (and #3471 #2319 #2896 #3486)
#3496 := (iff #3489 #3495)
#3497 := [rewrite]: #3496
#3490 := (iff #2939 #3489)
#3487 := (iff #2930 #3486)
#3484 := (iff #2927 #3475)
#3476 := (not #3475)
#3479 := (not #3476)
#3482 := (iff #3479 #3475)
#3483 := [rewrite]: #3482
#3480 := (iff #2927 #3479)
#3477 := (iff #2924 #3476)
#3478 := [rewrite]: #3477
#3481 := [monotonicity #3478]: #3480
#3485 := [trans #3481 #3483]: #3484
#3488 := [quant-intro #3485]: #3487
#3472 := (iff #1541 #3471)
#3469 := (iff #1538 #3466)
#3452 := (or #636 #1347)
#3463 := (or #3452 #1534)
#3467 := (iff #3463 #3466)
#3468 := [rewrite]: #3467
#3464 := (iff #1538 #3463)
#3461 := (iff #1531 #3452)
#3453 := (not #3452)
#3456 := (not #3453)
#3459 := (iff #3456 #3452)
#3460 := [rewrite]: #3459
#3457 := (iff #1531 #3456)
#3454 := (iff #1526 #3453)
#3455 := [rewrite]: #3454
#3458 := [monotonicity #3455]: #3457
#3462 := [trans #3458 #3460]: #3461
#3465 := [monotonicity #3462]: #3464
#3470 := [trans #3465 #3468]: #3469
#3473 := [quant-intro #3470]: #3472
#3491 := [monotonicity #3473 #3488]: #3490
#3499 := [trans #3491 #3497]: #3498
#3450 := (iff #2890 #3449)
#3447 := (iff #2887 #3444)
#3430 := (or #2286 #3429)
#3441 := (or #3430 #2882)
#3445 := (iff #3441 #3444)
#3446 := [rewrite]: #3445
#3442 := (iff #2887 #3441)
#3439 := (iff #2869 #3430)
#3431 := (not #3430)
#3434 := (not #3431)
#3437 := (iff #3434 #3430)
#3438 := [rewrite]: #3437
#3435 := (iff #2869 #3434)
#3432 := (iff #2866 #3431)
#3433 := [rewrite]: #3432
#3436 := [monotonicity #3433]: #3435
#3440 := [trans #3436 #3438]: #3439
#3443 := [monotonicity #3440]: #3442
#3448 := [trans #3443 #3446]: #3447
#3451 := [monotonicity #3448]: #3450
#3502 := [monotonicity #3451 #3499]: #3501
#3427 := (iff #1517 #3426)
#3424 := (iff #1512 #3421)
#3407 := (or #630 #3406)
#3418 := (or #3407 #1504)
#3422 := (iff #3418 #3421)
#3423 := [rewrite]: #3422
#3419 := (iff #1512 #3418)
#3416 := (iff #664 #3407)
#3408 := (not #3407)
#3411 := (not #3408)
#3414 := (iff #3411 #3407)
#3415 := [rewrite]: #3414
#3412 := (iff #664 #3411)
#3409 := (iff #656 #3408)
#3410 := [rewrite]: #3409
#3413 := [monotonicity #3410]: #3412
#3417 := [trans #3413 #3415]: #3416
#3420 := [monotonicity #3417]: #3419
#3425 := [trans #3420 #3423]: #3424
#3428 := [quant-intro #3425]: #3427
#3505 := [monotonicity #3428 #3502]: #3504
#3513 := [trans #3505 #3511]: #3512
#3404 := (iff #2863 #3403)
#3401 := (iff #2860 #3398)
#3384 := (or #3383 #2257)
#3395 := (or #3384 #2855)
#3399 := (iff #3395 #3398)
#3400 := [rewrite]: #3399
#3396 := (iff #2860 #3395)
#3393 := (iff #2844 #3384)
#3385 := (not #3384)
#3388 := (not #3385)
#3391 := (iff #3388 #3384)
#3392 := [rewrite]: #3391
#3389 := (iff #2844 #3388)
#3386 := (iff #2841 #3385)
#3387 := [rewrite]: #3386
#3390 := [monotonicity #3387]: #3389
#3394 := [trans #3390 #3392]: #3393
#3397 := [monotonicity #3394]: #3396
#3402 := [trans #3397 #3400]: #3401
#3405 := [monotonicity #3402]: #3404
#3516 := [monotonicity #3405 #3513]: #3515
#3519 := [monotonicity #3516]: #3518
#3526 := [trans #3519 #3524]: #3525
#3529 := [monotonicity #3526]: #3528
#3532 := [monotonicity #3529]: #3531
#3539 := [trans #3532 #3537]: #3538
#3542 := [monotonicity #3539]: #3541
#3545 := [monotonicity #3542]: #3544
#3552 := [trans #3545 #3550]: #3551
#3555 := [monotonicity #3552]: #3554
#3558 := [monotonicity #3555]: #3557
#3565 := [trans #3558 #3563]: #3564
#3568 := [monotonicity #3565]: #3567
#3381 := (iff #1631 #3380)
#3378 := (iff #1628 #3375)
#3372 := (or #3355 #1625)
#3376 := (iff #3372 #3375)
#3377 := [rewrite]: #3376
#3373 := (iff #1628 #3372)
#3370 := (iff #1620 #3355)
#3365 := (not #3356)
#3368 := (iff #3365 #3355)
#3369 := [rewrite]: #3368
#3366 := (iff #1620 #3365)
#3357 := (iff #1462 #3356)
#3358 := [rewrite]: #3357
#3367 := [monotonicity #3358]: #3366
#3371 := [trans #3367 #3369]: #3370
#3374 := [monotonicity #3371]: #3373
#3379 := [trans #3374 #3377]: #3378
#3382 := [quant-intro #3379]: #3381
#3363 := (iff #1473 #3362)
#3360 := (iff #1468 #3359)
#3361 := [monotonicity #3358]: #3360
#3364 := [quant-intro #3361]: #3363
#3571 := [monotonicity #3364 #3382 #3568]: #3570
#3580 := [trans #3571 #3578]: #3579
#3731 := [monotonicity #3580 #3728]: #3730
#3353 := (iff #2804 #3352)
#3350 := (iff #2801 #3347)
#3327 := (or #68 #1406)
#3344 := (or #3327 #3341)
#3348 := (iff #3344 #3347)
#3349 := [rewrite]: #3348
#3345 := (iff #2801 #3344)
#3342 := (iff #2798 #3341)
#3343 := [rewrite]: #3342
#3336 := (iff #1413 #3327)
#3328 := (not #3327)
#3331 := (not #3328)
#3334 := (iff #3331 #3327)
#3335 := [rewrite]: #3334
#3332 := (iff #1413 #3331)
#3329 := (iff #1410 #3328)
#3330 := [rewrite]: #3329
#3333 := [monotonicity #3330]: #3332
#3337 := [trans #3333 #3335]: #3336
#3346 := [monotonicity #3337 #3343]: #3345
#3351 := [trans #3346 #3349]: #3350
#3354 := [quant-intro #3351]: #3353
#3325 := (iff #2764 #3324)
#3322 := (iff #2759 #3319)
#3299 := (or #68 #1388)
#3316 := (or #3299 #3313)
#3320 := (iff #3316 #3319)
#3321 := [rewrite]: #3320
#3317 := (iff #2759 #3316)
#3314 := (iff #2753 #3313)
#3315 := [rewrite]: #3314
#3308 := (iff #1395 #3299)
#3300 := (not #3299)
#3303 := (not #3300)
#3306 := (iff #3303 #3299)
#3307 := [rewrite]: #3306
#3304 := (iff #1395 #3303)
#3301 := (iff #1392 #3300)
#3302 := [rewrite]: #3301
#3305 := [monotonicity #3302]: #3304
#3309 := [trans #3305 #3307]: #3308
#3318 := [monotonicity #3309 #3315]: #3317
#3323 := [trans #3318 #3321]: #3322
#3326 := [quant-intro #3323]: #3325
#3297 := (iff #1837 #3296)
#3294 := (iff #1832 #3291)
#3277 := (or #3276 #505)
#3288 := (or #3277 #1416)
#3292 := (iff #3288 #3291)
#3293 := [rewrite]: #3292
#3289 := (iff #1832 #3288)
#3286 := (iff #517 #3277)
#3278 := (not #3277)
#3281 := (not #3278)
#3284 := (iff #3281 #3277)
#3285 := [rewrite]: #3284
#3282 := (iff #517 #3281)
#3279 := (iff #511 #3278)
#3280 := [rewrite]: #3279
#3283 := [monotonicity #3280]: #3282
#3287 := [trans #3283 #3285]: #3286
#3290 := [monotonicity #3287]: #3289
#3295 := [trans #3290 #3293]: #3294
#3298 := [quant-intro #3295]: #3297
#3274 := (iff #1821 #3273)
#3271 := (iff #1818 #3268)
#3254 := (or #508 #1347)
#3265 := (or #3254 #1815)
#3269 := (iff #3265 #3268)
#3270 := [rewrite]: #3269
#3266 := (iff #1818 #3265)
#3263 := (iff #1812 #3254)
#3255 := (not #3254)
#3258 := (not #3255)
#3261 := (iff #3258 #3254)
#3262 := [rewrite]: #3261
#3259 := (iff #1812 #3258)
#3256 := (iff #1807 #3255)
#3257 := [rewrite]: #3256
#3260 := [monotonicity #3257]: #3259
#3264 := [trans #3260 #3262]: #3263
#3267 := [monotonicity #3264]: #3266
#3272 := [trans #3267 #3270]: #3271
#3275 := [quant-intro #3272]: #3274
#3734 := [monotonicity #3275 #3298 #3326 #3354 #3731]: #3733
#3745 := [trans #3734 #3743]: #3744
#3252 := (iff #2715 #3249)
#3244 := (and #2086 #3241 #2691)
#3250 := (iff #3244 #3249)
#3251 := [rewrite]: #3250
#3245 := (iff #2715 #3244)
#3242 := (iff #2685 #3241)
#3239 := (iff #2682 #3230)
#3231 := (not #3230)
#3234 := (not #3231)
#3237 := (iff #3234 #3230)
#3238 := [rewrite]: #3237
#3235 := (iff #2682 #3234)
#3232 := (iff #2679 #3231)
#3233 := [rewrite]: #3232
#3236 := [monotonicity #3233]: #3235
#3240 := [trans #3236 #3238]: #3239
#3243 := [quant-intro #3240]: #3242
#3246 := [monotonicity #3243]: #3245
#3253 := [trans #3246 #3251]: #3252
#3748 := [monotonicity #3253 #3745]: #3747
#3227 := (iff #1360 #3226)
#3224 := (iff #1357 #3221)
#3207 := (or #78 #1347)
#3218 := (or #1342 #3207)
#3222 := (iff #3218 #3221)
#3223 := [rewrite]: #3222
#3219 := (iff #1357 #3218)
#3216 := (iff #1354 #3207)
#3208 := (not #3207)
#3211 := (not #3208)
#3214 := (iff #3211 #3207)
#3215 := [rewrite]: #3214
#3212 := (iff #1354 #3211)
#3209 := (iff #1351 #3208)
#3210 := [rewrite]: #3209
#3213 := [monotonicity #3210]: #3212
#3217 := [trans #3213 #3215]: #3216
#3220 := [monotonicity #3217]: #3219
#3225 := [trans #3220 #3223]: #3224
#3228 := [quant-intro #3225]: #3227
#3751 := [monotonicity #3228 #3748]: #3750
#3759 := [trans #3751 #3757]: #3758
#3205 := (iff #2676 #3204)
#3202 := (iff #2673 #3199)
#3185 := (or #2057 #3184)
#3196 := (or #2664 #3185)
#3200 := (iff #3196 #3199)
#3201 := [rewrite]: #3200
#3197 := (iff #2673 #3196)
#3194 := (iff #2670 #3185)
#3186 := (not #3185)
#3189 := (not #3186)
#3192 := (iff #3189 #3185)
#3193 := [rewrite]: #3192
#3190 := (iff #2670 #3189)
#3187 := (iff #2667 #3186)
#3188 := [rewrite]: #3187
#3191 := [monotonicity #3188]: #3190
#3195 := [trans #3191 #3193]: #3194
#3198 := [monotonicity #3195]: #3197
#3203 := [trans #3198 #3201]: #3202
#3206 := [monotonicity #3203]: #3205
#3762 := [monotonicity #3206 #3759]: #3761
#3182 := (iff #1334 #3181)
#3179 := (iff #1329 #3176)
#3162 := (or #77 #2632)
#3173 := (or #3162 #1322)
#3177 := (iff #3173 #3176)
#3178 := [rewrite]: #3177
#3174 := (iff #1329 #3173)
#3171 := (iff #460 #3162)
#3163 := (not #3162)
#3166 := (not #3163)
#3169 := (iff #3166 #3162)
#3170 := [rewrite]: #3169
#3167 := (iff #460 #3166)
#3164 := (iff #454 #3163)
#3165 := [rewrite]: #3164
#3168 := [monotonicity #3165]: #3167
#3172 := [trans #3168 #3170]: #3171
#3175 := [monotonicity #3172]: #3174
#3180 := [trans #3175 #3178]: #3179
#3183 := [quant-intro #3180]: #3182
#3765 := [monotonicity #3183 #3762]: #3764
#3773 := [trans #3765 #3771]: #3772
#2534 := (iff #2657 #2421)
#2199 := (iff #2654 #2166)
#2042 := (or #2266 #2034)
#2297 := (or #2042 #2649)
#2167 := (iff #2297 #2166)
#2198 := [rewrite]: #2167
#2499 := (iff #2654 #2297)
#2138 := (iff #2638 #2042)
#1973 := (not #2042)
#2218 := (not #1973)
#2018 := (iff #2218 #2042)
#2137 := [rewrite]: #2018
#2219 := (iff #2638 #2218)
#1974 := (iff #2635 #1973)
#2043 := [rewrite]: #1974
#2017 := [monotonicity #2043]: #2219
#2296 := [trans #2017 #2137]: #2138
#2500 := [monotonicity #2296]: #2499
#2420 := [trans #2500 #2198]: #2199
#2535 := [monotonicity #2420]: #2534
#3776 := [monotonicity #2535 #3773]: #3775
#3779 := [monotonicity #3776]: #3778
#3786 := [trans #3779 #3784]: #3785
#3789 := [monotonicity #3786]: #3788
#3792 := [monotonicity #3789]: #3791
#3799 := [trans #3792 #3797]: #3798
#3802 := [monotonicity #3799]: #3801
#2513 := (* -1::int #2512)
#2515 := (+ #2514 #2513)
#2518 := (+ #2517 #2515)
#2519 := (>= #2518 0::int)
#2528 := (and #2527 #2523)
#2529 := (not #2528)
#2530 := (or #2529 #2519)
#2531 := (not #2530)
#2550 := (or #2531 #2546)
#2489 := (+ #2488 #1707)
#2492 := (+ #2491 #2489)
#2493 := (= #2492 0::int)
#2494 := (>= #2489 0::int)
#2495 := (not #2494)
#2496 := (and #2495 #2493)
#2501 := (or #1716 #2496)
#2504 := (forall (vars (?x64 T2)) #2501)
#2554 := (and #2504 #2550)
#2453 := (+ #2452 #2450)
#2454 := (= #2453 0::int)
#2457 := (and #2456 #2454)
#2473 := (not #2457)
#2476 := (forall (vars (?x65 T2)) #2473)
#2462 := (= ?x64!17 uf_11)
#2463 := (not #2462)
#2464 := (and #2463 #2461)
#2465 := (not #2464)
#2470 := (not #2465)
#2480 := (and #2470 #2476)
#2558 := (or #2480 #2554)
#2438 := (not #1053)
#2435 := (not #1071)
#2432 := (not #1044)
#2429 := (not #1062)
#2562 := (and #2429 #2432 #2435 #2438 #2444 #2558)
#2417 := (and #2416 #2413)
#2311 := (+ #2310 #2308)
#2312 := (= #2311 0::int)
#2315 := (and #630 #2314 #2312)
#2332 := (not #2315)
#2335 := (forall (vars (?x53 T2)) #2332)
#2320 := (= ?x52!15 uf_11)
#2321 := (not #2320)
#2322 := (and #2321 #2319)
#2323 := (not #2322)
#2329 := (not #2323)
#2339 := (and #2329 #2335)
#2344 := (and #1541 #2339)
#2277 := (* -1::int #2276)
#2279 := (+ #2278 #2277)
#2282 := (+ #2281 #2279)
#2283 := (>= #2282 0::int)
#2290 := (and #2289 #2287)
#2291 := (not #2290)
#2292 := (or #2291 #2283)
#2293 := (not #2292)
#2348 := (or #2293 #2344)
#2352 := (and #1517 #2348)
#2250 := (* -1::int #2249)
#2252 := (+ #2251 #2250)
#2253 := (>= #2252 0::int)
#2259 := (and #2258 #2255)
#2260 := (not #2259)
#2261 := (or #2260 #2253)
#2262 := (not #2261)
#2356 := (or #2262 #2352)
#2360 := (and #1498 #2356)
#2364 := (or #2235 #2360)
#2229 := (not #1492)
#2368 := (and #2229 #2364)
#2372 := (or #1492 #2368)
#2376 := (and #642 #2372)
#2213 := (= #2212 #2211)
#2214 := (or #2213 #2210)
#2215 := (not #2214)
#2380 := (or #2215 #2376)
#2384 := (and #1484 #2380)
#2191 := (* -1::int #2190)
#2193 := (+ #2192 #2191)
#2194 := (>= #2193 0::int)
#2195 := (not #2194)
#2388 := (or #2195 #2384)
#2177 := (not #876)
#2425 := (and #2177 #588 #1473 #2388 #1631 #1649 #1657 #2417)
#2566 := (or #2425 #2562)
#2154 := (+ #2153 #1404)
#2157 := (+ #2156 #2154)
#2158 := (= #2157 0::int)
#2159 := (>= #2154 0::int)
#2160 := (not #2159)
#2163 := (and #2162 #2160 #2158)
#2168 := (or #1413 #2163)
#2171 := (forall (vars (?x39 T2)) #2168)
#2126 := (+ #1386 #2125)
#2128 := (+ #2127 #2126)
#2129 := (= #2128 0::int)
#2130 := (+ #2127 #1386)
#2131 := (>= #2130 0::int)
#2132 := (not #2131)
#2134 := (and #2133 #2132 #2129)
#2141 := (or #2134 #1395)
#2144 := (forall (vars (?x32 T2)) #2141)
#2120 := (not #1854)
#2591 := (and #2120 #2144 #2171 #2566 #1821 #1837 #1846)
#2087 := (= ?x32!5 uf_11)
#2088 := (not #2087)
#2089 := (and #2088 #2086)
#2090 := (not #2089)
#2112 := (not #2090)
#2099 := (and #77 #2098 #2095)
#2105 := (not #2099)
#2108 := (forall (vars (?x33 T2)) #2105)
#2115 := (and #2108 #2112)
#2595 := (or #2115 #2591)
#2599 := (and #1360 #2595)
#2060 := (and #2059 #2058)
#2061 := (not #2060)
#2064 := (+ #2063 #2054)
#2066 := (+ #2065 #2064)
#2067 := (>= #2066 0::int)
#2068 := (or #2067 #2061)
#2069 := (not #2068)
#2603 := (or #2069 #2599)
#2607 := (and #1334 #2603)
#2029 := (* -1::int #2028)
#2031 := (+ #2030 #2029)
#2032 := (>= #2031 0::int)
#2036 := (and #2035 #2033)
#2037 := (not #2036)
#2038 := (or #2037 #2032)
#2039 := (not #2038)
#2611 := (or #2039 #2607)
#2615 := (and #1314 #2611)
#2619 := (or #2014 #2615)
#1969 := (not #1308)
#2623 := (and #1969 #2619)
#2627 := (or #1308 #2623)
#3160 := (iff #2627 #3159)
#3157 := (iff #2623 #3156)
#3154 := (iff #2619 #3153)
#3151 := (iff #2615 #3150)
#3148 := (iff #2611 #3147)
#3145 := (iff #2607 #3144)
#3142 := (iff #2603 #3141)
#3139 := (iff #2599 #3138)
#3136 := (iff #2595 #3135)
#3133 := (iff #2591 #3130)
#3127 := (and #109 #2764 #2804 #3124 #1821 #1837 #1846)
#3131 := (iff #3127 #3130)
#3132 := [rewrite]: #3131
#3128 := (iff #2591 #3127)
#3125 := (iff #2566 #3124)
#3122 := (iff #2562 #3121)
#3119 := (iff #2558 #3118)
#3116 := (iff #2554 #3115)
#3113 := (iff #2550 #3110)
#3107 := (or #3104 #2546)
#3111 := (iff #3107 #3110)
#3112 := [rewrite]: #3111
#3108 := (iff #2550 #3107)
#3105 := (iff #2531 #3104)
#3102 := (iff #2530 #3101)
#3099 := (iff #2519 #3096)
#3087 := (+ #2514 #2517)
#3088 := (+ #2513 #3087)
#3091 := (>= #3088 0::int)
#3097 := (iff #3091 #3096)
#3098 := [rewrite]: #3097
#3092 := (iff #2519 #3091)
#3089 := (= #2518 #3088)
#3090 := [rewrite]: #3089
#3093 := [monotonicity #3090]: #3092
#3100 := [trans #3093 #3098]: #3099
#3085 := (iff #2529 #3084)
#3082 := (iff #2528 #3081)
#3083 := [rewrite]: #3082
#3086 := [monotonicity #3083]: #3085
#3103 := [monotonicity #3086 #3100]: #3102
#3106 := [monotonicity #3103]: #3105
#3109 := [monotonicity #3106]: #3108
#3114 := [trans #3109 #3112]: #3113
#3079 := (iff #2504 #3078)
#3076 := (iff #2501 #3075)
#3073 := (iff #2496 #3072)
#3070 := (iff #2493 #3067)
#3057 := (+ #2488 #2491)
#3058 := (+ #1707 #3057)
#3061 := (= #3058 0::int)
#3068 := (iff #3061 #3067)
#3069 := [rewrite]: #3068
#3062 := (iff #2493 #3061)
#3059 := (= #2492 #3058)
#3060 := [rewrite]: #3059
#3063 := [monotonicity #3060]: #3062
#3071 := [trans #3063 #3069]: #3070
#3055 := (iff #2495 #3054)
#3052 := (iff #2494 #3049)
#3041 := (+ #1707 #2488)
#3044 := (>= #3041 0::int)
#3050 := (iff #3044 #3049)
#3051 := [rewrite]: #3050
#3045 := (iff #2494 #3044)
#3042 := (= #2489 #3041)
#3043 := [rewrite]: #3042
#3046 := [monotonicity #3043]: #3045
#3053 := [trans #3046 #3051]: #3052
#3056 := [monotonicity #3053]: #3055
#3074 := [monotonicity #3056 #3071]: #3073
#3077 := [monotonicity #3074]: #3076
#3080 := [quant-intro #3077]: #3079
#3117 := [monotonicity #3080 #3114]: #3116
#3039 := (iff #2480 #3036)
#3002 := (and #2461 #2996)
#3033 := (and #3002 #3030)
#3037 := (iff #3033 #3036)
#3038 := [rewrite]: #3037
#3034 := (iff #2480 #3033)
#3031 := (iff #2476 #3030)
#3028 := (iff #2473 #3027)
#3025 := (iff #2457 #3024)
#3022 := (iff #2454 #3021)
#3019 := (= #2453 #3018)
#3020 := [rewrite]: #3019
#3023 := [monotonicity #3020]: #3022
#3026 := [monotonicity #3023]: #3025
#3029 := [monotonicity #3026]: #3028
#3032 := [quant-intro #3029]: #3031
#3015 := (iff #2470 #3002)
#3007 := (not #3002)
#3010 := (not #3007)
#3013 := (iff #3010 #3002)
#3014 := [rewrite]: #3013
#3011 := (iff #2470 #3010)
#3008 := (iff #2465 #3007)
#3005 := (iff #2464 #3002)
#2999 := (and #2996 #2461)
#3003 := (iff #2999 #3002)
#3004 := [rewrite]: #3003
#3000 := (iff #2464 #2999)
#2997 := (iff #2463 #2996)
#2994 := (iff #2462 #2993)
#2995 := [rewrite]: #2994
#2998 := [monotonicity #2995]: #2997
#3001 := [monotonicity #2998]: #3000
#3006 := [trans #3001 #3004]: #3005
#3009 := [monotonicity #3006]: #3008
#3012 := [monotonicity #3009]: #3011
#3016 := [trans #3012 #3014]: #3015
#3035 := [monotonicity #3016 #3032]: #3034
#3040 := [trans #3035 #3038]: #3039
#3120 := [monotonicity #3040 #3117]: #3119
#2991 := (iff #2438 #933)
#2992 := [rewrite]: #2991
#2989 := (iff #2435 #930)
#2990 := [rewrite]: #2989
#2987 := (iff #2432 #234)
#2988 := [rewrite]: #2987
#2985 := (iff #2429 #229)
#2986 := [rewrite]: #2985
#3123 := [monotonicity #2986 #2988 #2990 #2992 #3120]: #3122
#2983 := (iff #2425 #2980)
#2977 := (and #151 #588 #1473 #2974 #1631 #1649 #1657 #2417)
#2981 := (iff #2977 #2980)
#2982 := [rewrite]: #2981
#2978 := (iff #2425 #2977)
#2975 := (iff #2388 #2974)
#2972 := (iff #2384 #2971)
#2969 := (iff #2380 #2968)
#2966 := (iff #2376 #2965)
#2963 := (iff #2372 #2962)
#2960 := (iff #2368 #2959)
#2957 := (iff #2364 #2956)
#2954 := (iff #2360 #2953)
#2951 := (iff #2356 #2950)
#2948 := (iff #2352 #2947)
#2945 := (iff #2348 #2944)
#2942 := (iff #2344 #2939)
#2902 := (and #2319 #2896)
#2933 := (and #2902 #2930)
#2936 := (and #1541 #2933)
#2940 := (iff #2936 #2939)
#2941 := [rewrite]: #2940
#2937 := (iff #2344 #2936)
#2934 := (iff #2339 #2933)
#2931 := (iff #2335 #2930)
#2928 := (iff #2332 #2927)
#2925 := (iff #2315 #2924)
#2922 := (iff #2312 #2921)
#2919 := (= #2311 #2918)
#2920 := [rewrite]: #2919
#2923 := [monotonicity #2920]: #2922
#2926 := [monotonicity #2923]: #2925
#2929 := [monotonicity #2926]: #2928
#2932 := [quant-intro #2929]: #2931
#2915 := (iff #2329 #2902)
#2907 := (not #2902)
#2910 := (not #2907)
#2913 := (iff #2910 #2902)
#2914 := [rewrite]: #2913
#2911 := (iff #2329 #2910)
#2908 := (iff #2323 #2907)
#2905 := (iff #2322 #2902)
#2899 := (and #2896 #2319)
#2903 := (iff #2899 #2902)
#2904 := [rewrite]: #2903
#2900 := (iff #2322 #2899)
#2897 := (iff #2321 #2896)
#2894 := (iff #2320 #2893)
#2895 := [rewrite]: #2894
#2898 := [monotonicity #2895]: #2897
#2901 := [monotonicity #2898]: #2900
#2906 := [trans #2901 #2904]: #2905
#2909 := [monotonicity #2906]: #2908
#2912 := [monotonicity #2909]: #2911
#2916 := [trans #2912 #2914]: #2915
#2935 := [monotonicity #2916 #2932]: #2934
#2938 := [monotonicity #2935]: #2937
#2943 := [trans #2938 #2941]: #2942
#2891 := (iff #2293 #2890)
#2888 := (iff #2292 #2887)
#2885 := (iff #2283 #2882)
#2872 := (+ #2278 #2281)
#2873 := (+ #2277 #2872)
#2876 := (>= #2873 0::int)
#2883 := (iff #2876 #2882)
#2884 := [rewrite]: #2883
#2877 := (iff #2283 #2876)
#2874 := (= #2282 #2873)
#2875 := [rewrite]: #2874
#2878 := [monotonicity #2875]: #2877
#2886 := [trans #2878 #2884]: #2885
#2870 := (iff #2291 #2869)
#2867 := (iff #2290 #2866)
#2868 := [rewrite]: #2867
#2871 := [monotonicity #2868]: #2870
#2889 := [monotonicity #2871 #2886]: #2888
#2892 := [monotonicity #2889]: #2891
#2946 := [monotonicity #2892 #2943]: #2945
#2949 := [monotonicity #2946]: #2948
#2864 := (iff #2262 #2863)
#2861 := (iff #2261 #2860)
#2858 := (iff #2253 #2855)
#2847 := (+ #2250 #2251)
#2850 := (>= #2847 0::int)
#2856 := (iff #2850 #2855)
#2857 := [rewrite]: #2856
#2851 := (iff #2253 #2850)
#2848 := (= #2252 #2847)
#2849 := [rewrite]: #2848
#2852 := [monotonicity #2849]: #2851
#2859 := [trans #2852 #2857]: #2858
#2845 := (iff #2260 #2844)
#2842 := (iff #2259 #2841)
#2843 := [rewrite]: #2842
#2846 := [monotonicity #2843]: #2845
#2862 := [monotonicity #2846 #2859]: #2861
#2865 := [monotonicity #2862]: #2864
#2952 := [monotonicity #2865 #2949]: #2951
#2955 := [monotonicity #2952]: #2954
#2958 := [monotonicity #2955]: #2957
#2839 := (iff #2229 #173)
#2840 := [rewrite]: #2839
#2961 := [monotonicity #2840 #2958]: #2960
#2964 := [monotonicity #2961]: #2963
#2967 := [monotonicity #2964]: #2966
#2837 := (iff #2215 #2836)
#2834 := (iff #2214 #2831)
#2828 := (or #2825 #2210)
#2832 := (iff #2828 #2831)
#2833 := [rewrite]: #2832
#2829 := (iff #2214 #2828)
#2826 := (iff #2213 #2825)
#2827 := [rewrite]: #2826
#2830 := [monotonicity #2827]: #2829
#2835 := [trans #2830 #2833]: #2834
#2838 := [monotonicity #2835]: #2837
#2970 := [monotonicity #2838 #2967]: #2969
#2973 := [monotonicity #2970]: #2972
#2823 := (iff #2195 #2822)
#2820 := (iff #2194 #2817)
#2809 := (+ #2191 #2192)
#2812 := (>= #2809 0::int)
#2818 := (iff #2812 #2817)
#2819 := [rewrite]: #2818
#2813 := (iff #2194 #2812)
#2810 := (= #2193 #2809)
#2811 := [rewrite]: #2810
#2814 := [monotonicity #2811]: #2813
#2821 := [trans #2814 #2819]: #2820
#2824 := [monotonicity #2821]: #2823
#2976 := [monotonicity #2824 #2973]: #2975
#2807 := (iff #2177 #151)
#2808 := [rewrite]: #2807
#2979 := [monotonicity #2808 #2976]: #2978
#2984 := [trans #2979 #2982]: #2983
#3126 := [monotonicity #2984 #3123]: #3125
#2805 := (iff #2171 #2804)
#2802 := (iff #2168 #2801)
#2799 := (iff #2163 #2798)
#2796 := (iff #2158 #2793)
#2783 := (+ #2153 #2156)
#2784 := (+ #1404 #2783)
#2787 := (= #2784 0::int)
#2794 := (iff #2787 #2793)
#2795 := [rewrite]: #2794
#2788 := (iff #2158 #2787)
#2785 := (= #2157 #2784)
#2786 := [rewrite]: #2785
#2789 := [monotonicity #2786]: #2788
#2797 := [trans #2789 #2795]: #2796
#2781 := (iff #2160 #2780)
#2778 := (iff #2159 #2775)
#2767 := (+ #1404 #2153)
#2770 := (>= #2767 0::int)
#2776 := (iff #2770 #2775)
#2777 := [rewrite]: #2776
#2771 := (iff #2159 #2770)
#2768 := (= #2154 #2767)
#2769 := [rewrite]: #2768
#2772 := [monotonicity #2769]: #2771
#2779 := [trans #2772 #2777]: #2778
#2782 := [monotonicity #2779]: #2781
#2800 := [monotonicity #2782 #2797]: #2799
#2803 := [monotonicity #2800]: #2802
#2806 := [quant-intro #2803]: #2805
#2765 := (iff #2144 #2764)
#2762 := (iff #2141 #2759)
#2756 := (or #2753 #1395)
#2760 := (iff #2756 #2759)
#2761 := [rewrite]: #2760
#2757 := (iff #2141 #2756)
#2754 := (iff #2134 #2753)
#2751 := (iff #2129 #2748)
#2738 := (+ #2125 #2127)
#2739 := (+ #1386 #2738)
#2742 := (= #2739 0::int)
#2749 := (iff #2742 #2748)
#2750 := [rewrite]: #2749
#2743 := (iff #2129 #2742)
#2740 := (= #2128 #2739)
#2741 := [rewrite]: #2740
#2744 := [monotonicity #2741]: #2743
#2752 := [trans #2744 #2750]: #2751
#2736 := (iff #2132 #2735)
#2733 := (iff #2131 #2730)
#2722 := (+ #1386 #2127)
#2725 := (>= #2722 0::int)
#2731 := (iff #2725 #2730)
#2732 := [rewrite]: #2731
#2726 := (iff #2131 #2725)
#2723 := (= #2130 #2722)
#2724 := [rewrite]: #2723
#2727 := [monotonicity #2724]: #2726
#2734 := [trans #2727 #2732]: #2733
#2737 := [monotonicity #2734]: #2736
#2755 := [monotonicity #2737 #2752]: #2754
#2758 := [monotonicity #2755]: #2757
#2763 := [trans #2758 #2761]: #2762
#2766 := [quant-intro #2763]: #2765
#2720 := (iff #2120 #109)
#2721 := [rewrite]: #2720
#3129 := [monotonicity #2721 #2766 #2806 #3126]: #3128
#3134 := [trans #3129 #3132]: #3133
#2718 := (iff #2115 #2715)
#2697 := (and #2086 #2691)
#2712 := (and #2685 #2697)
#2716 := (iff #2712 #2715)
#2717 := [rewrite]: #2716
#2713 := (iff #2115 #2712)
#2710 := (iff #2112 #2697)
#2702 := (not #2697)
#2705 := (not #2702)
#2708 := (iff #2705 #2697)
#2709 := [rewrite]: #2708
#2706 := (iff #2112 #2705)
#2703 := (iff #2090 #2702)
#2700 := (iff #2089 #2697)
#2694 := (and #2691 #2086)
#2698 := (iff #2694 #2697)
#2699 := [rewrite]: #2698
#2695 := (iff #2089 #2694)
#2692 := (iff #2088 #2691)
#2689 := (iff #2087 #2688)
#2690 := [rewrite]: #2689
#2693 := [monotonicity #2690]: #2692
#2696 := [monotonicity #2693]: #2695
#2701 := [trans #2696 #2699]: #2700
#2704 := [monotonicity #2701]: #2703
#2707 := [monotonicity #2704]: #2706
#2711 := [trans #2707 #2709]: #2710
#2686 := (iff #2108 #2685)
#2683 := (iff #2105 #2682)
#2680 := (iff #2099 #2679)
#2681 := [rewrite]: #2680
#2684 := [monotonicity #2681]: #2683
#2687 := [quant-intro #2684]: #2686
#2714 := [monotonicity #2687 #2711]: #2713
#2719 := [trans #2714 #2717]: #2718
#3137 := [monotonicity #2719 #3134]: #3136
#3140 := [monotonicity #3137]: #3139
#2677 := (iff #2069 #2676)
#2674 := (iff #2068 #2673)
#2671 := (iff #2061 #2670)
#2668 := (iff #2060 #2667)
#2669 := [rewrite]: #2668
#2672 := [monotonicity #2669]: #2671
#2665 := (iff #2067 #2664)
#2662 := (= #2066 #2661)
#2663 := [rewrite]: #2662
#2666 := [monotonicity #2663]: #2665
#2675 := [monotonicity #2666 #2672]: #2674
#2678 := [monotonicity #2675]: #2677
#3143 := [monotonicity #2678 #3140]: #3142
#3146 := [monotonicity #3143]: #3145
#2658 := (iff #2039 #2657)
#2655 := (iff #2038 #2654)
#2652 := (iff #2032 #2649)
#2641 := (+ #2029 #2030)
#2644 := (>= #2641 0::int)
#2650 := (iff #2644 #2649)
#2651 := [rewrite]: #2650
#2645 := (iff #2032 #2644)
#2642 := (= #2031 #2641)
#2643 := [rewrite]: #2642
#2646 := [monotonicity #2643]: #2645
#2653 := [trans #2646 #2651]: #2652
#2639 := (iff #2037 #2638)
#2636 := (iff #2036 #2635)
#2637 := [rewrite]: #2636
#2640 := [monotonicity #2637]: #2639
#2656 := [monotonicity #2640 #2653]: #2655
#2659 := [monotonicity #2656]: #2658
#3149 := [monotonicity #2659 #3146]: #3148
#3152 := [monotonicity #3149]: #3151
#3155 := [monotonicity #3152]: #3154
#2633 := (iff #1969 #81)
#2634 := [rewrite]: #2633
#3158 := [monotonicity #2634 #3155]: #3157
#3161 := [monotonicity #3158]: #3160
#1943 := (not #1907)
#2628 := (~ #1943 #2627)
#2624 := (not #1904)
#2625 := (~ #2624 #2623)
#2620 := (not #1901)
#2621 := (~ #2620 #2619)
#2616 := (not #1898)
#2617 := (~ #2616 #2615)
#2612 := (not #1895)
#2613 := (~ #2612 #2611)
#2608 := (not #1892)
#2609 := (~ #2608 #2607)
#2604 := (not #1889)
#2605 := (~ #2604 #2603)
#2600 := (not #1886)
#2601 := (~ #2600 #2599)
#2596 := (not #1883)
#2597 := (~ #2596 #2595)
#2592 := (not #1878)
#2593 := (~ #2592 #2591)
#2588 := (not #1849)
#2589 := (~ #2588 #1846)
#2586 := (~ #1846 #1846)
#2584 := (~ #1843 #1843)
#2585 := [refl]: #2584
#2587 := [nnf-pos #2585]: #2586
#2590 := [nnf-neg #2587]: #2589
#2581 := (not #1840)
#2582 := (~ #2581 #1837)
#2579 := (~ #1837 #1837)
#2577 := (~ #1832 #1832)
#2578 := [refl]: #2577
#2580 := [nnf-pos #2578]: #2579
#2583 := [nnf-neg #2580]: #2582
#2574 := (not #1824)
#2575 := (~ #2574 #1821)
#2572 := (~ #1821 #1821)
#2570 := (~ #1818 #1818)
#2571 := [refl]: #2570
#2573 := [nnf-pos #2571]: #2572
#2576 := [nnf-neg #2573]: #2575
#2567 := (not #1801)
#2568 := (~ #2567 #2566)
#2563 := (not #1796)
#2564 := (~ #2563 #2562)
#2559 := (not #1778)
#2560 := (~ #2559 #2558)
#2555 := (not #1775)
#2556 := (~ #2555 #2554)
#2551 := (not #1772)
#2552 := (~ #2551 #2550)
#2547 := (not #1767)
#2548 := (~ #2547 #2546)
#2543 := (not #1759)
#2544 := (~ #2543 #1756)
#2541 := (~ #1756 #1756)
#2539 := (~ #1753 #1753)
#2540 := [refl]: #2539
#2542 := [nnf-pos #2540]: #2541
#2545 := [nnf-neg #2542]: #2544
#2537 := (~ #2536 #2536)
#2538 := [refl]: #2537
#2549 := [nnf-neg #2538 #2545]: #2548
#2532 := (~ #1759 #2531)
#2533 := [sk]: #2532
#2553 := [nnf-neg #2533 #2549]: #2552
#2507 := (not #1741)
#2508 := (~ #2507 #2504)
#2505 := (~ #1738 #2504)
#2502 := (~ #1735 #2501)
#2497 := (~ #1732 #2496)
#2498 := [sk]: #2497
#2485 := (~ #1716 #1716)
#2486 := [refl]: #2485
#2503 := [monotonicity #2486 #2498]: #2502
#2506 := [nnf-pos #2503]: #2505
#2509 := [nnf-neg #2506]: #2508
#2557 := [nnf-neg #2509 #2553]: #2556
#2483 := (~ #1741 #2480)
#2458 := (exists (vars (?x65 T2)) #2457)
#2466 := (or #2465 #2458)
#2467 := (not #2466)
#2481 := (~ #2467 #2480)
#2477 := (not #2458)
#2478 := (~ #2477 #2476)
#2474 := (~ #2473 #2473)
#2475 := [refl]: #2474
#2479 := [nnf-neg #2475]: #2478
#2471 := (~ #2470 #2470)
#2472 := [refl]: #2471
#2482 := [nnf-neg #2472 #2479]: #2481
#2468 := (~ #1741 #2467)
#2469 := [sk]: #2468
#2484 := [trans #2469 #2482]: #2483
#2561 := [nnf-neg #2484 #2557]: #2560
#2445 := (~ #1678 #2444)
#2442 := (~ #2441 #2441)
#2443 := [refl]: #2442
#2446 := [nnf-neg #2443]: #2445
#2439 := (~ #2438 #2438)
#2440 := [refl]: #2439
#2436 := (~ #2435 #2435)
#2437 := [refl]: #2436
#2433 := (~ #2432 #2432)
#2434 := [refl]: #2433
#2430 := (~ #2429 #2429)
#2431 := [refl]: #2430
#2565 := [nnf-neg #2431 #2434 #2437 #2440 #2446 #2561]: #2564
#2426 := (not #1702)
#2427 := (~ #2426 #2425)
#2422 := (not #1678)
#2423 := (~ #2422 #2417)
#2418 := (~ #1675 #2417)
#2419 := [sk]: #2418
#2424 := [nnf-neg #2419]: #2423
#2406 := (~ #1657 #1657)
#2407 := [refl]: #2406
#2403 := (not #1652)
#2404 := (~ #2403 #1649)
#2401 := (~ #1649 #1649)
#2399 := (~ #1644 #1644)
#2400 := [refl]: #2399
#2402 := [nnf-pos #2400]: #2401
#2405 := [nnf-neg #2402]: #2404
#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)
#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)
#36 := (uf_6 #29 #11)
#335 := (= uf_8 #36)
#35 := (= #30 uf_8)
#24 := (= #11 #20)
#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)
#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
#37 := (= #36 uf_8)
#38 := (ite #24 #35 #37)
#39 := (iff #34 #38)
#40 := (forall (vars (?x10 T4) (?x11 T2) (?x12 T5) (?x13 T2)) #39)
#345 := (iff #40 #344)
#342 := (iff #39 #341)
#339 := (iff #38 #338)
#336 := (iff #37 #335)
#337 := [rewrite]: #336
#340 := [monotonicity #337]: #339
#343 := [monotonicity #340]: #342
#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)
#48 := (:var 0 T5)
#47 := (:var 2 T4)
#49 := (uf_7 #47 #10 #48)
#4329 := (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)
#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
#52 := (= #48 uf_8)
#51 := (= #50 uf_8)
#53 := (iff #51 #52)
#54 := (forall (vars (?x17 T4) (?x18 T2) (?x19 T5)) #53)
#367 := (iff #54 #366)
#364 := (iff #53 #363)
#361 := (iff #52 #360)
#362 := [rewrite]: #361
#358 := (iff #51 #356)
#359 := [rewrite]: #358
#365 := [monotonicity #359 #362]: #364
#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)
#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)
#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
#64 := (< 0::int #59)
#63 := (not #58)
#65 := (implies #63 #64)
#66 := (forall (vars (?x22 T2) (?x23 T2)) #65)
#419 := (iff #66 #416)
#403 := (or #58 #64)
#406 := (forall (vars (?x22 T2) (?x23 T2)) #403)
#417 := (iff #406 #416)
#414 := (iff #403 #413)
#411 := (iff #64 #410)
#412 := [rewrite]: #411
#415 := [monotonicity #412]: #414
#418 := [quant-intro #415]: #417
#407 := (iff #66 #406)
#404 := (iff #65 #403)
#405 := [rewrite]: #404
#408 := [quant-intro #405]: #407
#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)
#60 := (= #59 0::int)
#393 := (or #63 #60)
#4336 := (forall (vars (?x20 T2) (?x21 T2)) (:pat #4294) #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
#61 := (implies #58 #60)
#62 := (forall (vars (?x20 T2) (?x21 T2)) #61)
#399 := (iff #62 #396)
#372 := (= 0::int #59)
#383 := (or #63 #372)
#388 := (forall (vars (?x20 T2) (?x21 T2)) #383)
#397 := (iff #388 #396)
#394 := (iff #383 #393)
#391 := (iff #372 #60)
#392 := [rewrite]: #391
#395 := [monotonicity #392]: #394
#398 := [quant-intro #395]: #397
#389 := (iff #62 #388)
#386 := (iff #61 #383)
#380 := (implies #58 #372)
#384 := (iff #380 #383)
#385 := [rewrite]: #384
#381 := (iff #61 #380)
#378 := (iff #60 #372)
#379 := [rewrite]: #378
#382 := [monotonicity #379]: #381
#387 := [trans #382 #385]: #386
#390 := [quant-intro #387]: #389
#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)
#15468 := (not #15467)
#15469 := (or #15363 #15468)
#14738 := (or #4461 #15469)
#14986 := (iff #14738 #14730)
#14556 := (or #4461 #15481)
#14896 := (iff #14556 #14730)
#15034 := [rewrite]: #14896
#14832 := (iff #14738 #14556)
#15482 := (iff #15469 #15481)
#15479 := (iff #15468 #15478)
#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)
#25301 := (not #15443)
#29623 := [hypothesis]: #25301
#15187 := (not #15420)
#29624 := [hypothesis]: #15478
#14833 := (or #15473 #15187)
#15233 := [def-axiom]: #14833
#29625 := [unit-resolution #15233 #29624]: #15187
#8899 := (not #15434)
#15050 := (or #15473 #8899)
#15028 := [def-axiom]: #15050
#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)
#14734 := [rewrite]: #14698
#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)
#25300 := [hypothesis]: #15443
#25302 := (or #25301 #14406)
#25303 := [th-lemma]: #25302
#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)
#23377 := (= #108 #144)
#12197 := (= #144 #108)
#5945 := (= uf_16 uf_11)
#5947 := (= uf_11 uf_16)
#5928 := (?x40!7 uf_16)
#5932 := (uf_4 uf_14 #5928)
#5933 := (* -1::int #5932)
#5929 := (uf_1 #5928 uf_16)
#5930 := (uf_10 #5929)
#5931 := (* -1::int #5930)
#5950 := (+ #5931 #5933)
#5951 := (+ #144 #5950)
#5954 := (= #5951 0::int)
#5957 := (not #5954)
#5940 := (uf_6 uf_15 #5928)
#5941 := (= uf_8 #5940)
#5942 := (not #5941)
#5938 := (+ #144 #5933)
#5939 := (<= #5938 0::int)
#5963 := (or #5939 #5942 #5957)
#6003 := (>= #6002 0::int)
#9539 := (not #7864)
#23470 := [hypothesis]: #9539
#23505 := (or #7864 #6003)
#23465 := [th-lemma]: #23505
#23464 := [unit-resolution #23465 #23470]: #6003
#9672 := (not #6003)
#18009 := (or #9672 #5939)
#7466 := (>= #5932 0::int)
#8252 := (not #7466)
#8253 := [hypothesis]: #8252
#8212 := (or #4409 #7466)
#8206 := [quant-inst]: #8212
#8263 := [unit-resolution #8206 #7305 #8253]: false
#8264 := [lemma #8263]: #7466
#17999 := (or #9672 #8252 #5939)
#4050 := (<= #108 0::int)
#7308 := (or #1854 #4050)
#7309 := [th-lemma]: #7308
#7310 := [unit-resolution #7309 #7307]: #4050
#5512 := (not #4050)
#17980 := (or #9672 #5512 #8252 #5939)
#17982 := [th-lemma]: #17980
#17995 := [unit-resolution #17982 #7310]: #17999
#18007 := [unit-resolution #17995 #8264]: #18009
#23469 := [unit-resolution #18007 #23464]: #5939
#7005 := (not #5939)
#7006 := (or #5963 #7005)
#7007 := [def-axiom]: #7006
#23506 := [unit-resolution #7007 #23469]: #5963
#5968 := (not #5963)
#18000 := (or #5947 #5968)
#4208 := (or #4595 #1657)
#4210 := [def-axiom]: #4208
#16348 := [unit-resolution #4210 #7389]: #1657
#6992 := (or #4442 #1656 #5947 #5968)
#5934 := (+ #5933 #5931)
#5935 := (+ #144 #5934)
#5936 := (= #5935 0::int)
#5937 := (not #5936)
#5943 := (or #5942 #5939 #5937)
#5944 := (not #5943)
#5946 := (or #5945 #1656 #5944)
#6993 := (or #4442 #5946)
#7000 := (iff #6993 #6992)
#5974 := (or #1656 #5947 #5968)
#6995 := (or #4442 #5974)
#6998 := (iff #6995 #6992)
#6999 := [rewrite]: #6998
#6996 := (iff #6993 #6995)
#5977 := (iff #5946 #5974)
#5971 := (or #5947 #1656 #5968)
#5975 := (iff #5971 #5974)
#5976 := [rewrite]: #5975
#5972 := (iff #5946 #5971)
#5969 := (iff #5944 #5968)
#5966 := (iff #5943 #5963)
#5960 := (or #5942 #5939 #5957)
#5964 := (iff #5960 #5963)
#5965 := [rewrite]: #5964
#5961 := (iff #5943 #5960)
#5958 := (iff #5937 #5957)
#5955 := (iff #5936 #5954)
#5952 := (= #5935 #5951)
#5953 := [rewrite]: #5952
#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
#6994 := [quant-inst]: #6993
#7002 := [mp #6994 #7001]: #6992
#18030 := [unit-resolution #7002 #8030 #16348]: #18000
#23510 := [unit-resolution #18030 #23506]: #5947
#12009 := [symm #23510]: #5945
#12163 := [monotonicity #12009]: #12197
#12023 := [symm #12163]: #23377
#12215 := (not #23377)
#12216 := (or #12215 #7864)
#11464 := [th-lemma]: #12216
#12217 := [unit-resolution #11464 #23470 #12023]: false
#12311 := [lemma #12217]: #7864
#9540 := (or #2234 #9539)
#6554 := (uf_1 uf_16 ?x47!10)
#6555 := (uf_10 #6554)
#6435 := (* -1::int #2233)
#6597 := (+ #6435 #6555)
#6598 := (+ #144 #6597)
#8322 := (<= #6598 0::int)
#6601 := (= #6598 0::int)
#6538 := (* -1::int #6555)
#6539 := (+ uf_9 #6538)
#6540 := (<= #6539 0::int)
#8336 := (not #6540)
#6327 := (uf_4 uf_14 ?x47!10)
#6471 := (* -1::int #6327)
#6590 := (+ #6471 #6555)
#6591 := (+ #144 #6590)
#6592 := (>= #6591 0::int)
#6650 := (or #6540 #6592)
#6660 := (not #6650)
#6344 := (= #2233 #6327)
#9327 := (not #6344)
#6472 := (+ #2233 #6471)
#8301 := (>= #6472 0::int)
#9317 := (not #8301)
#9321 := [hypothesis]: #2235
#6814 := (>= #6327 0::int)
#7656 := (or #4409 #6814)
#7657 := [quant-inst]: #7656
#9322 := [unit-resolution #7657 #7305]: #6814
#9323 := (not #6814)
#9324 := (or #9317 #2234 #9323)
#9325 := [th-lemma]: #9324
#9326 := [unit-resolution #9325 #9322 #9321]: #9317
#9347 := (or #9327 #8301)
#9348 := [th-lemma]: #9347
#9349 := [unit-resolution #9348 #9326]: #9327
#6662 := (or #6344 #6660)
#8339 := (or #4461 #6344 #6660)
#6541 := (+ #1449 #6538)
#6536 := (+ #6327 #6541)
#6542 := (<= #6536 0::int)
#6641 := (or #6542 #6540)
#6642 := (not #6641)
#6328 := (= #6327 #2233)
#6643 := (or #6328 #6642)
#8314 := (or #4461 #6643)
#8333 := (iff #8314 #8339)
#8281 := (or #4461 #6662)
#8343 := (iff #8281 #8339)
#8332 := [rewrite]: #8343
#8341 := (iff #8314 #8281)
#6663 := (iff #6643 #6662)
#6661 := (iff #6642 #6660)
#6655 := (iff #6641 #6650)
#6649 := (or #6592 #6540)
#6653 := (iff #6649 #6650)
#6654 := [rewrite]: #6653
#6651 := (iff #6641 #6649)
#6595 := (iff #6542 #6592)
#6544 := (+ #6327 #6538)
#6545 := (+ #1449 #6544)
#6562 := (<= #6545 0::int)
#6593 := (iff #6562 #6592)
#6594 := [rewrite]: #6593
#6587 := (iff #6542 #6562)
#6546 := (= #6536 #6545)
#6561 := [rewrite]: #6546
#6589 := [monotonicity #6561]: #6587
#6596 := [trans #6589 #6594]: #6595
#6652 := [monotonicity #6596]: #6651
#6658 := [trans #6652 #6654]: #6655
#6659 := [monotonicity #6658]: #6661
#6383 := (iff #6328 #6344)
#6384 := [rewrite]: #6383
#6664 := [monotonicity #6384 #6659]: #6663
#8342 := [monotonicity #6664]: #8341
#8334 := [trans #8342 #8332]: #8333
#8340 := [quant-inst]: #8314
#8335 := [mp #8340 #8334]: #8339
#9350 := [unit-resolution #8335 #8574]: #6662
#9351 := [unit-resolution #9350 #9349]: #6660
#8327 := (or #6650 #8336)
#8352 := [def-axiom]: #8327
#9346 := [unit-resolution #8352 #9351]: #8336
#8360 := (not #6592)
#8348 := (or #6650 #8360)
#8353 := [def-axiom]: #8348
#9352 := [unit-resolution #8353 #9351]: #8360
#6607 := (or #6540 #6592 #6601)
#8318 := (or #4469 #6540 #6592 #6601)
#6556 := (+ #6555 #6435)
#6557 := (+ #144 #6556)
#6537 := (= #6557 0::int)
#6543 := (or #6542 #6540 #6537)
#8344 := (or #4469 #6543)
#8331 := (iff #8344 #8318)
#8349 := (or #4469 #6607)
#8330 := (iff #8349 #8318)
#8325 := [rewrite]: #8330
#8328 := (iff #8344 #8349)
#6578 := (iff #6543 #6607)
#6604 := (or #6592 #6540 #6601)
#6579 := (iff #6604 #6607)
#6580 := [rewrite]: #6579
#6605 := (iff #6543 #6604)
#6602 := (iff #6537 #6601)
#6599 := (= #6557 #6598)
#6600 := [rewrite]: #6599
#6603 := [monotonicity #6600]: #6602
#6606 := [monotonicity #6596 #6603]: #6605
#6581 := [trans #6606 #6580]: #6578
#8329 := [monotonicity #6581]: #8328
#8320 := [trans #8329 #8325]: #8331
#8345 := [quant-inst]: #8344
#8321 := [mp #8345 #8320]: #8318
#9353 := [unit-resolution #8321 #7390]: #6607
#9354 := [unit-resolution #9353 #9352 #9346]: #6601
#9355 := (not #6601)
#9356 := (or #9355 #8322)
#9367 := [th-lemma]: #9356
#9368 := [unit-resolution #9367 #9354]: #8322
#9369 := [hypothesis]: #7864
#4041 := (>= #108 0::int)
#9370 := (or #1854 #4041)
#9371 := [th-lemma]: #9370
#9366 := [unit-resolution #9371 #7307]: #4041
#8900 := (uf_1 #7128 ?x47!10)
#8901 := (uf_10 #8900)
#8908 := (* -1::int #8901)
#9307 := (+ #6555 #8908)
#9320 := (>= #9307 0::int)
#9304 := (= #6555 #8901)
#9374 := (= #8901 #6555)
#9372 := (= #8900 #6554)
#9373 := [monotonicity #8036]: #9372
#9375 := [monotonicity #9373]: #9374
#9376 := [symm #9375]: #9304
#9382 := (not #9304)
#9383 := (or #9382 #9320)
#9432 := [th-lemma]: #9383
#9433 := [unit-resolution #9432 #9376]: #9320
#9287 := (>= #8901 0::int)
#9080 := (<= #8901 0::int)
#9207 := (not #9080)
#8373 := (= ?x47!10 #7128)
#8730 := (not #8373)
#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)
#16501 := (iff #16498 #16493)
#16502 := [rewrite]: #16501
#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
#17203 := [monotonicity #17195]: #17202
#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)
#17223 := (not #9961)
#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)
#16718 := (or #4469 #9942)
#16725 := (iff #16718 #16717)
#16720 := (or #4469 #9967)
#16723 := (iff #16720 #16717)
#16724 := [rewrite]: #16723
#16721 := (iff #16718 #16720)
#9970 := (iff #9942 #9967)
#9964 := (or #9952 #9938 #9961)
#9968 := (iff #9964 #9967)
#9969 := [rewrite]: #9968
#9965 := (iff #9942 #9964)
#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
#25347 := [unit-resolution #4257 #17253]: #25346
#29780 := [unit-resolution #25347 #29779]: #4526
#3983 := (or #4523 #4515)
#3984 := [def-axiom]: #3983
#29781 := [unit-resolution #3984 #29780]: #4515
#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)
#17626 := (or #4520 #15511)
#20578 := (iff #17626 #20547)
#20549 := (or #4520 #15541)
#20516 := (iff #20549 #20547)
#20517 := [rewrite]: #20516
#20386 := (iff #17626 #20549)
#15542 := (iff #15511 #15541)
#15539 := (iff #15508 #15538)
#15536 := (iff #15507 #15533)
#15523 := (+ #7167 #15504)
#15524 := (+ #2307 #15523)
#15527 := (= #15524 0::int)
#15534 := (iff #15527 #15533)
#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
unsat