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

 #2 := false
+decl ?x785!14 :: int
+#17756 := ?x785!14
+decl uf_298 :: int
+#3087 := uf_298
+#30181 := (= uf_298 ?x785!14)
+#121 := 0::int
+#4042 := -1::int
+#18020 := (* -1::int ?x785!14)
+decl uf_306 :: int
+#3256 := uf_306
+#18021 := (+ uf_306 #18020)
+#18022 := (<= #18021 0::int)
 decl uf_110 :: (-> T4 T5 int)
 decl uf_66 :: (-> T5 int T3 T5)
 decl uf_7 :: T3
 #10 := uf_7
-decl ?x786!14 :: int
-#18507 := ?x786!14
 decl uf_43 :: (-> T3 int T5)
 decl uf_288 :: int
 #2978 := uf_288
 #2979 := (uf_43 uf_7 uf_288)
-#18512 := (uf_66 #2979 ?x786!14 uf_7)
+#17764 := (uf_66 #2979 ?x785!14 uf_7)
 decl uf_287 :: T4
 #2976 := uf_287
-#18513 := (uf_110 uf_287 #18512)
-decl uf_298 :: int
-#3069 := uf_298
-#3188 := (uf_66 #2979 uf_298 uf_7)
-#3197 := (uf_110 uf_287 #3188)
-#30708 := (= #3197 #18513)
-#30713 := (not #30708)
-#121 := 0::int
-#4071 := -1::int
-#18834 := (* -1::int #18513)
-#30712 := (+ #3197 #18834)
-#30714 := (>= #30712 0::int)
-#30724 := (not #30714)
+#17765 := (uf_110 uf_287 #17764)
+#18007 := (* -1::int #17765)
 decl uf_304 :: int
-#3204 := uf_304
-#13490 := (* -1::int uf_304)
-#30366 := (+ #3197 #13490)
-#30319 := (<= #30366 0::int)
-#30365 := (= #3197 uf_304)
-decl uf_303 :: int
-#3199 := uf_303
-#12389 := (= uf_303 uf_304)
-#18835 := (+ uf_304 #18834)
-#18836 := (>= #18835 0::int)
-#18821 := (* -1::int ?x786!14)
-decl uf_306 :: int
-#3214 := uf_306
-#18822 := (+ uf_306 #18821)
-#18823 := (<= #18822 0::int)
-#18509 := (>= ?x786!14 0::int)
-#22289 := (not #18509)
-#7500 := 4294967295::int
-#18508 := (<= ?x786!14 4294967295::int)
-#22288 := (not #18508)
-#22304 := (or #22288 #22289 #18823 #18836)
-#22309 := (not #22304)
+#3239 := uf_304
+#18008 := (+ uf_304 #18007)
+#18009 := (>= #18008 0::int)
+#17761 := (>= ?x785!14 0::int)
+#21511 := (not #17761)
+#7471 := 4294967295::int
+#17757 := (<= ?x785!14 4294967295::int)
+#21510 := (not #17757)
+#21526 := (or #21510 #21511 #18009 #18022)
+#21531 := (not #21526)
 #161 := (:var 0 int)
-#3053 := (uf_66 #2979 #161 uf_7)
-#23211 := (pattern #3053)
-#15127 := (<= #161 4294967295::int)
-#19506 := (not #15127)
-#3054 := (uf_110 uf_287 #3053)
-#13491 := (+ #3054 #13490)
-#13492 := (<= #13491 0::int)
-#13471 := (* -1::int uf_306)
-#13479 := (+ #161 #13471)
-#13478 := (>= #13479 0::int)
-#4070 := (>= #161 0::int)
-#4992 := (not #4070)
-#22270 := (or #4992 #13478 #13492 #19506)
-#23228 := (forall (vars (?x786 int)) (:pat #23211) #22270)
-#23233 := (not #23228)
+#3072 := (uf_66 #2979 #161 uf_7)
+#22468 := (pattern #3072)
+#14378 := (<= #161 4294967295::int)
+#18695 := (not #14378)
+#13112 := (* -1::int uf_304)
+#3073 := (uf_110 uf_287 #3072)
+#13113 := (+ #3073 #13112)
+#13114 := (<= #13113 0::int)
+#13062 := (* -1::int uf_306)
+#13097 := (+ #161 #13062)
+#13096 := (>= #13097 0::int)
+#4041 := (>= #161 0::int)
+#4963 := (not #4041)
+#21492 := (or #4963 #13096 #13114 #18695)
+#22485 := (forall (vars (?x785 int)) (:pat #22468) #21492)
+#22490 := (not #22485)
 decl uf_305 :: int
-#3206 := uf_305
-#13512 := (* -1::int uf_305)
+#3241 := uf_305
+#13126 := (* -1::int uf_305)
 decl uf_286 :: int
 #2973 := uf_286
-#13513 := (+ uf_286 #13512)
-#13514 := (<= #13513 0::int)
-#3226 := (uf_66 #2979 uf_305 uf_7)
-#3227 := (uf_110 uf_287 #3226)
-#12428 := (= uf_304 #3227)
-#22255 := (not #12428)
-#22256 := (or #22255 #13514)
-#22257 := (not #22256)
-#23236 := (or #22257 #23233)
-#23239 := (not #23236)
-#23242 := (or #23239 #22309)
-#23245 := (not #23242)
-#13472 := (+ uf_286 #13471)
-#13470 := (>= #13472 0::int)
-#13475 := (not #13470)
-#23248 := (or #13475 #23245)
-#23251 := (not #23248)
-#23254 := (or #13475 #23251)
-#23257 := (not #23254)
-#15819 := 4294967294::int
-#15820 := (<= uf_298 4294967294::int)
-#18490 := (not #15820)
-#13539 := (+ uf_298 #13471)
-#13538 := (= #13539 -1::int)
-#13542 := (not #13538)
+#13127 := (+ uf_286 #13126)
+#13128 := (<= #13127 0::int)
+#3271 := (uf_66 #2979 uf_305 uf_7)
+#3272 := (uf_110 uf_287 #3271)
+#12446 := (= uf_304 #3272)
+#21466 := (not #12446)
+#21467 := (or #21466 #13128)
+#21468 := (not #21467)
+#22493 := (or #21468 #22490)
+#3220 := (uf_66 #2979 uf_298 uf_7)
+#3230 := (uf_110 uf_287 #3220)
+#28730 := (= #3230 #3272)
+#28979 := (= #3272 #3230)
+#29112 := (= #3271 #3220)
+decl uf_144 :: (-> T3 T3)
+decl uf_124 :: (-> T3 int T3)
+#2977 := (uf_124 uf_7 uf_286)
+#24108 := (uf_144 #2977)
+decl uf_125 :: (-> T5 T5 int)
+decl uf_116 :: (-> T5 int)
+decl uf_28 :: (-> int T5)
+decl uf_29 :: (-> T5 int)
+#3013 := (uf_29 #2979)
+#23935 := (uf_28 #3013)
+#26317 := (uf_116 #23935)
+#26333 := (uf_43 #24108 #26317)
+decl uf_13 :: (-> T5 T3)
+#26868 := (uf_13 #26333)
+#27481 := (uf_66 #26333 uf_298 #26868)
+#27482 := (uf_125 #27481 #26333)
+#2980 := (uf_116 #2979)
+#26469 := (uf_43 #24108 #2980)
+#27555 := (uf_66 #26469 #27482 #24108)
+#27664 := (= #27555 #3220)
+#27655 := (= #24108 uf_7)
+#24109 := (= uf_7 #24108)
+#326 := (:var 1 T3)
+#1358 := (uf_124 #326 #161)
+#1592 := (pattern #1358)
+#1605 := (uf_144 #1358)
+#8271 := (= #326 #1605)
+#8275 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1592) #8271)
+#16576 := (~ #8275 #8275)
+#16574 := (~ #8271 #8271)
+#16575 := [refl]: #16574
+#16577 := [nnf-pos #16575]: #16576
+#1606 := (= #1605 #326)
+#1607 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1592) #1606)
+#8276 := (iff #1607 #8275)
+#8273 := (iff #1606 #8271)
+#8274 := [rewrite]: #8273
+#8277 := [quant-intro #8274]: #8276
+#8270 := [asserted]: #1607
+#8280 := [mp #8270 #8277]: #8275
+#16578 := [mp~ #8280 #16577]: #8275
+#24112 := (not #8275)
+#24113 := (or #24112 #24109)
+#24114 := [quant-inst]: #24113
+#27654 := [unit-resolution #24114 #16578]: #24109
+#27656 := [symm #27654]: #27655
+#27657 := (= #27482 uf_298)
+#26369 := (uf_13 #23935)
+#28212 := (uf_66 #23935 uf_298 #26369)
+#28213 := (uf_125 #28212 #23935)
+#29709 := (= #28213 uf_298)
+#28214 := (= uf_298 #28213)
+#15 := (:var 1 T5)
+#1390 := (uf_13 #15)
+#1391 := (uf_66 #15 #161 #1390)
+#1392 := (pattern #1391)
+#1393 := (uf_125 #1391 #15)
+#7663 := (= #161 #1393)
+#7667 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1392) #7663)
+#16288 := (~ #7667 #7667)
+#16286 := (~ #7663 #7663)
+#16287 := [refl]: #16286
+#16289 := [nnf-pos #16287]: #16288
+#1394 := (= #1393 #161)
+#1395 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1392) #1394)
+#7668 := (iff #1395 #7667)
+#7665 := (iff #1394 #7663)
+#7666 := [rewrite]: #7665
+#7669 := [quant-intro #7666]: #7668
+#7662 := [asserted]: #1395
+#7672 := [mp #7662 #7669]: #7667
+#16290 := [mp~ #7672 #16289]: #7667
+#26376 := (not #7667)
+#28217 := (or #26376 #28214)
+#28218 := [quant-inst]: #28217
+#28873 := [unit-resolution #28218 #16290]: #28214
+#29710 := [symm #28873]: #29709
+#28080 := (= #27482 #28213)
+#29457 := (= #28213 #27482)
+#27795 := (= #23935 #26333)
+#27716 := (= #2979 #26333)
+#27718 := (= #26333 #2979)
+#27783 := (= #26317 uf_288)
+#27660 := (= #2980 uf_288)
+#24227 := (= uf_288 #2980)
+#2697 := (uf_43 #326 #161)
+#22405 := (pattern #2697)
+#2698 := (uf_116 #2697)
+#11208 := (= #161 #2698)
+#22406 := (forall (vars (?x718 T3) (?x719 int)) (:pat #22405) #11208)
+#11212 := (forall (vars (?x718 T3) (?x719 int)) #11208)
+#22409 := (iff #11212 #22406)
+#22407 := (iff #11208 #11208)
+#22408 := [refl]: #22407
+#22410 := [quant-intro #22408]: #22409
+#17483 := (~ #11212 #11212)
+#17481 := (~ #11208 #11208)
+#17482 := [refl]: #17481
+#17484 := [nnf-pos #17482]: #17483
+#2699 := (= #2698 #161)
+#2700 := (forall (vars (?x718 T3) (?x719 int)) #2699)
+#11213 := (iff #2700 #11212)
+#11210 := (iff #2699 #11208)
+#11211 := [rewrite]: #11210
+#11214 := [quant-intro #11211]: #11213
+#11207 := [asserted]: #2700
+#11217 := [mp #11207 #11214]: #11212
+#17485 := [mp~ #11217 #17484]: #11212
+#22411 := [mp #17485 #22410]: #22406
+#24181 := (not #22406)
+#24232 := (or #24181 #24227)
+#24233 := [quant-inst]: #24232
+#27659 := [unit-resolution #24233 #22411]: #24227
+#27661 := [symm #27659]: #27660
+#27710 := (= #26317 #2980)
+#27708 := (= #23935 #2979)
+#23936 := (= #2979 #23935)
+#23 := (:var 0 T5)
+#93 := (uf_29 #23)
+#22316 := (pattern #93)
+#94 := (uf_28 #93)
+#3540 := (= #23 #94)
+#22317 := (forall (vars (?x14 T5)) (:pat #22316) #3540)
+#3543 := (forall (vars (?x14 T5)) #3540)
+#22318 := (iff #3543 #22317)
+#22320 := (iff #22317 #22317)
+#22321 := [rewrite]: #22320
+#22319 := [rewrite]: #22318
+#22322 := [trans #22319 #22321]: #22318
+#15525 := (~ #3543 #3543)
+#15515 := (~ #3540 #3540)
+#15516 := [refl]: #15515
+#15581 := [nnf-pos #15516]: #15525
+#95 := (= #94 #23)
+#96 := (forall (vars (?x14 T5)) #95)
+#3544 := (iff #96 #3543)
+#3541 := (iff #95 #3540)
+#3542 := [rewrite]: #3541
+#3545 := [quant-intro #3542]: #3544
+#3539 := [asserted]: #96
+#3548 := [mp #3539 #3545]: #3543
+#15582 := [mp~ #3548 #15581]: #3543
+#22323 := [mp #15582 #22322]: #22317
+#23939 := (not #22317)
+#23940 := (or #23939 #23936)
+#23941 := [quant-inst]: #23940
+#27707 := [unit-resolution #23941 #22323]: #23936
+#27709 := [symm #27707]: #27708
+#27711 := [monotonicity #27709]: #27710
+#27784 := [trans #27711 #27661]: #27783
+#27789 := [monotonicity #27656 #27784]: #27718
+#27790 := [symm #27789]: #27716
+#27796 := [trans #27709 #27790]: #27795
+#29455 := (= #28212 #27481)
+#29453 := (= #3220 #27481)
+#29451 := (= #27481 #3220)
+#29423 := (= #26868 uf_7)
+#24223 := (uf_13 #2979)
+#27846 := (= #24223 uf_7)
+#24224 := (= uf_7 #24223)
+#2701 := (uf_13 #2697)
+#11216 := (= #326 #2701)
+#22412 := (forall (vars (?x720 T3) (?x721 int)) (:pat #22405) #11216)
+#11220 := (forall (vars (?x720 T3) (?x721 int)) #11216)
+#22415 := (iff #11220 #22412)
+#22413 := (iff #11216 #11216)
+#22414 := [refl]: #22413
+#22416 := [quant-intro #22414]: #22415
+#17488 := (~ #11220 #11220)
+#17486 := (~ #11216 #11216)
+#17487 := [refl]: #17486
+#17489 := [nnf-pos #17487]: #17488
+#2702 := (= #2701 #326)
+#2703 := (forall (vars (?x720 T3) (?x721 int)) #2702)
+#11221 := (iff #2703 #11220)
+#11218 := (iff #2702 #11216)
+#11219 := [rewrite]: #11218
+#11222 := [quant-intro #11219]: #11221
+#11215 := [asserted]: #2703
+#11225 := [mp #11215 #11222]: #11220
+#17490 := [mp~ #11225 #17489]: #11220
+#22417 := [mp #17490 #22416]: #22412
+#24175 := (not #22412)
+#24229 := (or #24175 #24224)
+#24230 := [quant-inst]: #24229
+#27843 := [unit-resolution #24230 #22417]: #24224
+#27847 := [symm #27843]: #27846
+#29421 := (= #26868 #24223)
+#29422 := [monotonicity #27789]: #29421
+#29424 := [trans #29422 #27847]: #29423
+#29452 := [monotonicity #27789 #29424]: #29451
+#29454 := [symm #29452]: #29453
+#29449 := (= #28212 #3220)
+#27848 := (= #26369 uf_7)
+#27844 := (= #26369 #24223)
+#27845 := [monotonicity #27709]: #27844
+#27849 := [trans #27845 #27847]: #27848
+#29450 := [monotonicity #27709 #27849]: #29449
+#29456 := [trans #29450 #29454]: #29455
+#29458 := [monotonicity #29456 #27796]: #29457
+#29441 := [symm #29458]: #28080
+#29711 := [trans #29441 #29710]: #27657
+#27662 := (= #26469 #2979)
+#27663 := [monotonicity #27656 #27661]: #27662
+#29712 := [monotonicity #27663 #29711 #27656]: #27664
+#29208 := (= #3271 #27555)
+#29074 := (= uf_305 #27482)
+#28951 := (= uf_305 #28213)
+#3242 := (= uf_305 uf_298)
+#12383 := (= uf_298 uf_305)
+#22496 := (not #22493)
+#22499 := (or #22496 #21531)
+#22502 := (not #22499)
+#13090 := (+ uf_286 #13062)
+#13089 := (>= #13090 0::int)
+#13093 := (not #13089)
+#22505 := (or #13093 #22502)
+#22508 := (not #22505)
+#22511 := (or #13093 #22508)
+#22514 := (not #22511)
+#15126 := 4294967294::int
+#15127 := (<= uf_298 4294967294::int)
+#17745 := (not #15127)
+#13063 := (+ uf_298 #13062)
+#13061 := (= #13063 -1::int)
+#21556 := (not #13061)
 #892 := 2::int
-#13462 := (>= uf_306 2::int)
-#22332 := (not #13462)
-#13454 := (>= uf_298 -1::int)
-#18487 := (not #13454)
-#13445 := (>= uf_305 0::int)
-#22331 := (not #13445)
+#13059 := (>= uf_306 2::int)
+#21555 := (not #13059)
+#13051 := (>= uf_298 -1::int)
+#17742 := (not #13051)
+#13017 := (>= uf_305 0::int)
+#21554 := (not #13017)
 decl up_291 :: (-> T4 T1 T1 int T3 bool)
 decl uf_4 :: T3
 #7 := uf_4
 decl uf_273 :: T1
 #2946 := uf_273
 decl uf_269 :: T1
 #2942 := uf_269
-#3216 := (up_291 uf_287 uf_269 uf_273 uf_306 uf_4)
-#12493 := (not #3216)
-#23260 := (or #12493 #22331 #18487 #22332 #13542 #18490 #23257)
-#23263 := (not #23260)
-#23266 := (or #18487 #18490 #23263)
-#23269 := (not #23266)
+#3258 := (up_291 uf_287 uf_269 uf_273 uf_306 uf_4)
+#21553 := (not #3258)
+#22517 := (or #21553 #21554 #17742 #21555 #21556 #17745 #22514)
+#22520 := (not #22517)
+#22523 := (or #17742 #17745 #22520)
+#22526 := (not #22523)
 #4 := 1::int
-#13436 := (>= uf_298 1::int)
-#13576 := (not #13436)
-#12392 := (= uf_298 uf_305)
-#12539 := (not #12392)
-#12548 := (not #12389)
-#12384 := (= #3197 uf_303)
-#12591 := (not #12384)
+#12913 := (>= uf_298 1::int)
+#21575 := (not #12913)
+#21574 := (not #12383)
+decl uf_303 :: int
+#3234 := uf_303
+#12380 := (= uf_303 uf_304)
+#21573 := (not #12380)
+#12375 := (= #3230 uf_303)
+#21572 := (not #12375)
 decl uf_68 :: (-> T4 T5 T2)
-#3194 := (uf_68 uf_287 #3188)
+#3226 := (uf_68 uf_287 #3220)
 decl uf_9 :: T2
 #19 := uf_9
-#12378 := (= uf_9 #3194)
-#18458 := (not #12378)
+#12355 := (= uf_9 #3226)
+#17730 := (not #12355)
 decl uf_48 :: (-> T5 T3 T2)
-#3189 := (uf_48 #3188 uf_7)
-#12369 := (= uf_9 #3189)
-#18449 := (not #12369)
+#3221 := (uf_48 #3220 uf_7)
+#12346 := (= uf_9 #3221)
+#17721 := (not #12346)
 decl uf_275 :: T1
 #2948 := uf_275
 decl uf_270 :: T1
 #2943 := uf_270
-#3202 := (up_291 uf_287 uf_270 uf_275 uf_298 uf_4)
-#12573 := (not #3202)
+#3237 := (up_291 uf_287 uf_270 uf_275 uf_298 uf_4)
+#21571 := (not #3237)
 decl uf_277 :: T1
 #2950 := uf_277
 decl uf_271 :: T1
 #2944 := uf_271
-#3201 := (up_291 uf_287 uf_271 uf_277 uf_303 uf_7)
-#12582 := (not #3201)
-#23272 := (or #12582 #12573 #18449 #18458 #12591 #12548 #12539 #13576 #22331 #23269)
-#23275 := (not #23272)
-#13629 := (* -1::int #3197)
+#3236 := (up_291 uf_287 uf_271 uf_277 uf_303 uf_7)
+#21570 := (not #3236)
+#22529 := (or #21570 #21571 #17721 #17730 #21572 #21573 #21574 #21575 #21554 #22526)
+#22532 := (not #22529)
+#12998 := (* -1::int #3230)
 decl uf_296 :: int
-#3061 := uf_296
-#13630 := (+ uf_296 #13629)
-#13628 := (>= #13630 0::int)
-#13627 := (not #13628)
+#3079 := uf_296
+#12999 := (+ uf_296 #12998)
+#12997 := (>= #12999 0::int)
+#12996 := (not #12997)
 decl uf_297 :: int
-#3065 := uf_297
-#13433 := (>= uf_297 0::int)
-#22372 := (not #13433)
-#12671 := (= uf_297 uf_305)
-#12677 := (not #12671)
-#12668 := (= uf_296 uf_304)
-#12686 := (not #12668)
-#23302 := (or #12686 #12677 #22372 #13576 #22331 #13627 #23269)
-#23305 := (not #23302)
-#23278 := (or #18449 #18458 #23275)
-#23281 := (not #23278)
+#3083 := uf_297
+#12910 := (>= uf_297 0::int)
+#21602 := (not #12910)
+#12524 := (= uf_297 uf_305)
+#21614 := (not #12524)
+#12521 := (= uf_296 uf_304)
+#21613 := (not #12521)
+#22559 := (or #21613 #21614 #21602 #21575 #12996 #21554 #22526)
+#22562 := (not #22559)
+#22535 := (or #17721 #17730 #22532)
+#22538 := (not #22535)
 decl uf_24 :: (-> T4 T5 T2)
-#3191 := (uf_24 uf_287 #3188)
-#12372 := (= uf_9 #3191)
-#18452 := (not #12372)
-#23284 := (or #18449 #18452 #23281)
-#23287 := (not #23284)
-#23290 := (or #18449 #18452 #23287)
-#23293 := (not #23290)
-#23296 := (or #22372 #13576 #13628 #23293)
-#23299 := (not #23296)
-#23308 := (or #23299 #23305)
-#23311 := (not #23308)
-#23314 := (or #18449 #18458 #22372 #13576 #23311)
-#23317 := (not #23314)
+#3223 := (uf_24 uf_287 #3220)
+#12349 := (= uf_9 #3223)
+#17724 := (not #12349)
+#22541 := (or #17721 #17724 #22538)
+#22544 := (not #22541)
+#22547 := (or #17721 #17724 #22544)
+#22550 := (not #22547)
+#22553 := (or #21602 #21575 #12997 #22550)
+#22556 := (not #22553)
+#22565 := (or #22556 #22562)
+#22568 := (not #22565)
+#22571 := (or #17721 #17730 #21602 #21575 #22568)
+#22574 := (not #22571)
 decl uf_25 :: (-> T4 T5 T5)
 decl uf_135 :: (-> T14 T5)
 decl uf_58 :: (-> T13 T5 T14)
 decl uf_59 :: (-> T4 T13)
-#3157 := (uf_59 uf_287)
-#27840 := (uf_58 #3157 #3188)
-#29300 := (uf_135 #27840)
-#29303 := (uf_25 uf_287 #29300)
+#3175 := (uf_59 uf_287)
+#27095 := (uf_58 #3175 #3220)
+#28578 := (uf_135 #27095)
+#28581 := (uf_25 uf_287 #28578)
 decl uf_26 :: T5
 #77 := uf_26
-#29304 := (= uf_26 #29303)
+#28582 := (= uf_26 #28581)
 decl uf_210 :: (-> T4 T5 T2)
-#29301 := (uf_210 uf_287 #29300)
-#29302 := (= uf_9 #29301)
-#29360 := (or #29302 #29304)
-#29363 := (not #29360)
+#28579 := (uf_210 uf_287 #28578)
+#28580 := (= uf_9 #28579)
+#28638 := (or #28580 #28582)
+#28641 := (not #28638)
 decl uf_136 :: (-> T14 T2)
-#29313 := (uf_136 #27840)
-#29314 := (= uf_9 #29313)
-#29315 := (not #29314)
+#28591 := (uf_136 #27095)
+#28592 := (= uf_9 #28591)
+#28593 := (not #28592)
 decl uf_27 :: (-> T4 T5 T2)
-#29310 := (uf_27 uf_287 #29300)
-#29311 := (= uf_9 #29310)
-#29312 := (not #29311)
-#29354 := (or #29312 #29315)
-#29357 := (not #29354)
+#28588 := (uf_27 uf_287 #28578)
+#28589 := (= uf_9 #28588)
+#28590 := (not #28589)
+#28632 := (or #28590 #28593)
+#28635 := (not #28632)
 decl uf_12 :: (-> T3 T8)
-decl uf_13 :: (-> T5 T3)
-#28096 := (uf_13 #3188)
-#29318 := (uf_12 #28096)
+#27351 := (uf_13 #3220)
+#28596 := (uf_12 #27351)
 decl uf_14 :: T8
 #28 := uf_14
-#29336 := (= uf_14 #29318)
-#29351 := (not #29336)
-#29307 := (uf_13 #29300)
-#29308 := (uf_12 #29307)
-#29309 := (= uf_14 #29308)
-#29369 := (or #29309 #29351 #29357 #29363)
-#29374 := (not #29369)
-#29325 := (uf_25 uf_287 #3188)
-#29326 := (= uf_26 #29325)
-#29323 := (uf_210 uf_287 #3188)
-#29324 := (= uf_9 #29323)
-#29339 := (or #29324 #29326)
-#29342 := (not #29339)
-#29345 := (or #29336 #29342)
-#29348 := (not #29345)
-#29377 := (or #29348 #29374)
-#29380 := (not #29377)
-#29383 := (or #18452 #29380)
-#29386 := (not #29383)
-#29389 := (iff #12378 #29386)
-#29961 := (not #29389)
-#30156 := [hypothesis]: #29961
-#23 := (:var 0 T5)
+#28614 := (= uf_14 #28596)
+#28629 := (not #28614)
+#28585 := (uf_13 #28578)
+#28586 := (uf_12 #28585)
+#28587 := (= uf_14 #28586)
+#28647 := (or #28587 #28629 #28635 #28641)
+#28652 := (not #28647)
+#28603 := (uf_25 uf_287 #3220)
+#28604 := (= uf_26 #28603)
+#28601 := (uf_210 uf_287 #3220)
+#28602 := (= uf_9 #28601)
+#28617 := (or #28602 #28604)
+#28620 := (not #28617)
+#28623 := (or #28614 #28620)
+#28626 := (not #28623)
+#28655 := (or #28626 #28652)
+#28658 := (not #28655)
+#28661 := (or #17724 #28658)
+#28664 := (not #28661)
+decl up_67 :: (-> T14 bool)
+decl uf_143 :: (-> T3 int)
+#24110 := (uf_143 #2977)
+#26391 := (uf_124 #24108 #24110)
+#26392 := (uf_43 #26391 #2980)
+#27485 := (uf_66 #26392 #27482 #24108)
+#27491 := (uf_58 #3175 #27485)
+#27497 := (up_67 #27491)
+#27498 := (not #27497)
+#27494 := (uf_135 #27491)
+#27495 := (= #26392 #27494)
+#27496 := (not #27495)
+#27492 := (uf_136 #27491)
+#27493 := (= uf_9 #27492)
+#27488 := (uf_24 uf_287 #27485)
+#27489 := (= uf_9 #27488)
+#27490 := (not #27489)
+#27519 := (or #27490 #27493 #27496 #27498)
+#27522 := (not #27519)
+#30005 := [hypothesis]: #27519
+#27503 := (>= #27482 0::int)
+#28457 := (* -1::int #28213)
+#28081 := (+ #27482 #28457)
+#28082 := (>= #28081 0::int)
+#29442 := (not #28080)
+#29440 := (or #29442 #28082)
+#29443 := [th-lemma]: #29440
+#29444 := [unit-resolution #29443 #29441]: #28082
+#13392 := (>= uf_298 0::int)
+decl ?x776!15 :: int
+#17865 := ?x776!15
+#18168 := (* -1::int ?x776!15)
+#18169 := (+ uf_286 #18168)
+#18170 := (<= #18169 0::int)
+#17873 := (uf_66 #2979 ?x776!15 uf_7)
+#17874 := (uf_110 uf_287 #17873)
+#18155 := (* -1::int #17874)
+decl uf_302 :: int
+#3128 := uf_302
+#18156 := (+ uf_302 #18155)
+#18157 := (>= #18156 0::int)
+#17870 := (>= ?x776!15 0::int)
+#21709 := (not #17870)
+#17866 := (<= ?x776!15 4294967295::int)
+#21708 := (not #17866)
+#21724 := (or #21708 #21709 #18157 #18170)
+#21729 := (not #21724)
+#12727 := (* -1::int uf_286)
+#13271 := (+ #161 #12727)
+#13270 := (>= #13271 0::int)
+#3142 := (= #3073 uf_302)
+#21682 := (not #3142)
+#21683 := (or #21682 #4963 #13270 #18695)
+#22609 := (forall (vars (?x778 int)) (:pat #22468) #21683)
+#22614 := (not #22609)
+#13286 := (* -1::int uf_302)
+#13287 := (+ #3073 #13286)
+#13288 := (<= #13287 0::int)
+#21674 := (or #4963 #13270 #13288 #18695)
+#22601 := (forall (vars (?x776 int)) (:pat #22468) #21674)
+#22606 := (not #22601)
+#22617 := (or #22606 #22614)
+#22620 := (not #22617)
+#22623 := (or #22620 #21729)
+#22626 := (not #22623)
+#12965 := (* -1::int uf_298)
+#12966 := (+ uf_286 #12965)
+#12967 := (<= #12966 0::int)
+#12968 := (not #12967)
+#12122 := (= uf_296 uf_302)
+#21741 := (not #12122)
+decl uf_301 :: int
+#3126 := uf_301
+#12119 := (= uf_297 uf_301)
+#21740 := (not #12119)
+decl uf_300 :: int
+#3124 := uf_300
+#12116 := (= uf_298 uf_300)
+#21739 := (not #12116)
+decl uf_299 :: int
+#3122 := uf_299
+#12113 := (= uf_296 uf_299)
+#21738 := (not #12113)
+#22629 := (or #21738 #21739 #21740 #21741 #21602 #21575 #12968 #22626)
+#22632 := (not #22629)
+#22577 := (or #17721 #17730 #22574)
+#22580 := (not #22577)
+#22583 := (or #17721 #17724 #22580)
+#22586 := (not #22583)
+#22589 := (or #17721 #17724 #22586)
+#22592 := (not #22589)
+#22595 := (or #21602 #21575 #12967 #22592)
+#22598 := (not #22595)
+#22635 := (or #22598 #22632)
+#22638 := (not #22635)
+#13378 := (* -1::int uf_296)
+#13379 := (+ #3073 #13378)
+#13380 := (<= #13379 0::int)
+#13363 := (+ #161 #12965)
+#13362 := (>= #13363 0::int)
+#21458 := (or #4963 #13362 #13380 #18695)
+#22477 := (forall (vars (?x775 int)) (:pat #22468) #21458)
+#22482 := (not #22477)
+#1331 := 255::int
+#15107 := (<= uf_296 255::int)
+#21770 := (not #15107)
+#15096 := (<= uf_297 4294967295::int)
+#21769 := (not #15096)
+#15085 := (<= uf_298 4294967295::int)
+#21768 := (not #15085)
+#13402 := (>= uf_296 0::int)
+#21766 := (not #13402)
+#21765 := (not #13392)
+#13389 := (>= #12966 0::int)
+#21764 := (not #13389)
+#13356 := (* -1::int uf_297)
+#13357 := (+ uf_286 #13356)
+#13358 := (<= #13357 0::int)
+#12740 := (<= uf_286 0::int)
+decl uf_178 :: (-> T4 T4 T2)
+#3187 := (uf_178 uf_287 uf_287)
+#12261 := (= uf_9 #3187)
+#21763 := (not #12261)
+decl uf_202 :: (-> T1 T4 T2)
+decl uf_272 :: T1
+#2945 := uf_272
+#3113 := (uf_202 uf_272 uf_287)
+#12067 := (= uf_9 #3113)
+#21762 := (not #12067)
+#3100 := (uf_66 #2979 uf_297 uf_7)
+#3101 := (uf_110 uf_287 #3100)
+#12030 := (= uf_296 #3101)
+#21761 := (not #12030)
+decl up_292 :: (-> T4 T1 T1 T5 T3 bool)
+decl uf_6 :: (-> T3 T3)
+#11 := (uf_6 uf_7)
+decl uf_280 :: T1
+#2953 := uf_280
+#3200 := (up_292 uf_287 uf_272 uf_280 #2979 #11)
+#21760 := (not #3200)
+#3199 := (up_291 uf_287 uf_272 uf_280 #3013 #11)
+#21759 := (not #3199)
+decl uf_279 :: T1
+#2952 := uf_279
+#3198 := (up_291 uf_287 uf_272 uf_279 uf_286 uf_4)
+#21758 := (not #3198)
+#3197 := (up_291 uf_287 uf_272 uf_277 uf_296 uf_7)
+#21757 := (not #3197)
+#3196 := (up_291 uf_287 uf_272 uf_275 uf_297 uf_4)
+#21756 := (not #3196)
+#3195 := (up_291 uf_287 uf_272 uf_273 uf_298 uf_4)
+#21755 := (not #3195)
+#3044 := (uf_66 #2979 0::int uf_7)
+#3054 := (uf_110 uf_287 #3044)
+decl uf_295 :: int
+#3053 := uf_295
+#3055 := (= uf_295 #3054)
+#17676 := (not #3055)
+#22641 := (or #17676 #21755 #21756 #21757 #21758 #21759 #21760 #21761 #21762 #21763 #12740 #21602 #21575 #13358 #21764 #21765 #21766 #21768 #21769 #21770 #22482 #22638)
+#22644 := (not #22641)
+#22647 := (or #17676 #12740 #22644)
+#22650 := (not #22647)
+#12886 := (* -1::int #3073)
+#12887 := (+ uf_295 #12886)
+#12885 := (>= #12887 0::int)
+#12869 := (>= #161 1::int)
+#21436 := (or #4963 #12869 #12885 #18695)
+#22469 := (forall (vars (?x773 int)) (:pat #22468) #21436)
+#22474 := (not #22469)
+#22653 := (or #22474 #22650)
+#22656 := (not #22653)
+decl ?x773!13 :: int
+#17651 := ?x773!13
+#17658 := (uf_66 #2979 ?x773!13 uf_7)
+#17659 := (uf_110 uf_287 #17658)
+#17660 := (* -1::int #17659)
+#17661 := (+ uf_295 #17660)
+#17662 := (>= #17661 0::int)
+#17655 := (>= ?x773!13 0::int)
+#21399 := (not #17655)
+#17653 := (>= ?x773!13 1::int)
+#17652 := (<= ?x773!13 4294967295::int)
+#21398 := (not #17652)
+#21414 := (or #21398 #17653 #21399 #17662)
+#21419 := (not #21414)
+#22659 := (or #21419 #22656)
+#22662 := (not #22659)
+#12863 := (>= uf_286 1::int)
+#12866 := (not #12863)
+#22665 := (or #12866 #22662)
+#22668 := (not #22665)
+#22671 := (or #12866 #22668)
+#22674 := (not #22671)
+#3050 := (uf_68 uf_287 #3044)
+#11979 := (= uf_9 #3050)
+#17640 := (not #11979)
+#3045 := (uf_48 #3044 uf_7)
+#11970 := (= uf_9 #3045)
+#17631 := (not #11970)
+decl uf_274 :: T1
+#2947 := uf_274
+#3058 := (up_291 uf_287 uf_274 uf_273 1::int uf_4)
+#21813 := (not #3058)
+decl uf_276 :: T1
+#2949 := uf_276
+#3057 := (up_291 uf_287 uf_276 uf_275 0::int uf_4)
+#21812 := (not #3057)
+decl uf_278 :: T1
+#2951 := uf_278
+#3056 := (up_291 uf_287 uf_278 uf_277 uf_295 uf_7)
+#21811 := (not #3056)
+#22677 := (or #17676 #21811 #21812 #21813 #17631 #17640 #22674)
+#22680 := (not #22677)
+#22683 := (or #17631 #17640 #22680)
+#22686 := (not #22683)
+#3047 := (uf_24 uf_287 #3044)
+#11973 := (= uf_9 #3047)
+#17634 := (not #11973)
+#22689 := (or #17631 #17634 #22686)
+#22692 := (not #22689)
+#26286 := (uf_13 #3044)
+#26287 := (= #24108 #26286)
+#26260 := (uf_48 #3044 #24108)
+#26261 := (= uf_9 #26260)
+#26289 := (iff #26261 #26287)
+#233 := (:var 0 T3)
+#2666 := (uf_48 #15 #233)
+#2667 := (pattern #2666)
+#11138 := (= uf_9 #2666)
+#9039 := (= #233 #1390)
+#11159 := (iff #9039 #11138)
+#22399 := (forall (vars (?x712 T5) (?x713 T3)) (:pat #2667) #11159)
+#11164 := (forall (vars (?x712 T5) (?x713 T3)) #11159)
+#22402 := (iff #11164 #22399)
+#22400 := (iff #11159 #11159)
+#22401 := [refl]: #22400
+#22403 := [quant-intro #22401]: #22402
+#17468 := (~ #11164 #11164)
+#17466 := (~ #11159 #11159)
+#17467 := [refl]: #17466
+#17469 := [nnf-pos #17467]: #17468
+#1890 := (= #1390 #233)
+#2668 := (= #2666 uf_9)
+#2673 := (iff #2668 #1890)
+#2674 := (forall (vars (?x712 T5) (?x713 T3)) #2673)
+#11165 := (iff #2674 #11164)
+#11162 := (iff #2673 #11159)
+#11155 := (iff #11138 #9039)
+#11160 := (iff #11155 #11159)
+#11161 := [rewrite]: #11160
+#11157 := (iff #2673 #11155)
+#9040 := (iff #1890 #9039)
+#9041 := [rewrite]: #9040
+#11140 := (iff #2668 #11138)
+#11141 := [rewrite]: #11140
+#11158 := [monotonicity #11141 #9041]: #11157
+#11163 := [trans #11158 #11161]: #11162
+#11166 := [quant-intro #11163]: #11165
+#11154 := [asserted]: #2674
+#11169 := [mp #11154 #11166]: #11164
+#17470 := [mp~ #11169 #17469]: #11164
+#22404 := [mp #17470 #22403]: #22399
+#25427 := (not #22399)
+#26306 := (or #25427 #26289)
+#26288 := (iff #26287 #26261)
+#26307 := (or #25427 #26288)
+#26363 := (iff #26307 #26306)
+#26462 := (iff #26306 #26306)
+#26453 := [rewrite]: #26462
+#26290 := (iff #26288 #26289)
+#26291 := [rewrite]: #26290
+#26459 := [monotonicity #26291]: #26363
+#26518 := [trans #26459 #26453]: #26363
+#26300 := [quant-inst]: #26307
+#26463 := [mp #26300 #26518]: #26306
+#26613 := [unit-resolution #26463 #22404]: #26289
+#26268 := (not #26261)
+#26569 := (iff #17631 #26268)
+#26567 := (iff #11970 #26261)
+#26657 := (iff #26261 #11970)
+#26615 := (= #26260 #3045)
+#26616 := [monotonicity #27656]: #26615
+#26658 := [monotonicity #26616]: #26657
+#26568 := [symm #26658]: #26567
+#26617 := [monotonicity #26568]: #26569
+#26614 := [hypothesis]: #17631
+#26618 := [mp #26614 #26617]: #26268
+#26660 := (= #24223 #26286)
+#26622 := (= #26286 #24223)
+#26620 := (= #3044 #2979)
+#26566 := (= #3044 #26333)
+#26311 := (uf_66 #23935 0::int #24108)
+#26336 := (= #26311 #26333)
+#26339 := (not #26336)
+decl uf_138 :: (-> T5 T5 T2)
+#26312 := (uf_138 #26311 #23935)
+#26313 := (= uf_9 #26312)
+#26314 := (not #26313)
+#26345 := (or #26314 #26339)
+#26350 := (not #26345)
+#247 := (:var 1 int)
+#21 := (:var 2 T5)
+#1576 := (uf_66 #21 #247 #233)
+#1577 := (pattern #1576)
+#1578 := (uf_138 #1576 #21)
+#8220 := (= uf_9 #1578)
+#20314 := (not #8220)
+decl uf_139 :: (-> T3 int)
+#1581 := (uf_139 #233)
+#1582 := (* #247 #1581)
+#1580 := (uf_116 #21)
+#1583 := (+ #1580 #1582)
+#1584 := (uf_43 #233 #1583)
+#1585 := (= #1576 #1584)
+#20313 := (not #1585)
+#20315 := (or #20313 #20314)
+#20316 := (not #20315)
+#20319 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #20316)
+#8226 := (and #1585 #8220)
+#8231 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #8226)
+#20320 := (iff #8231 #20319)
+#20317 := (iff #8226 #20316)
+#20318 := [rewrite]: #20317
+#20321 := [quant-intro #20318]: #20320
+#16546 := (~ #8231 #8231)
+#16544 := (~ #8226 #8226)
+#16545 := [refl]: #16544
+#16547 := [nnf-pos #16545]: #16546
+#1579 := (= #1578 uf_9)
+#1586 := (and #1579 #1585)
+#1587 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #1586)
+#8232 := (iff #1587 #8231)
+#8229 := (iff #1586 #8226)
+#8223 := (and #8220 #1585)
+#8227 := (iff #8223 #8226)
+#8228 := [rewrite]: #8227
+#8224 := (iff #1586 #8223)
+#8221 := (iff #1579 #8220)
+#8222 := [rewrite]: #8221
+#8225 := [monotonicity #8222]: #8224
+#8230 := [trans #8225 #8228]: #8229
+#8233 := [quant-intro #8230]: #8232
+#8219 := [asserted]: #1587
+#8236 := [mp #8219 #8233]: #8231
+#16548 := [mp~ #8236 #16547]: #8231
+#20322 := [mp #16548 #20321]: #20319
+#26353 := (not #20319)
+#26293 := (or #26353 #26350)
+#26315 := (uf_139 #24108)
+#26316 := (* 0::int #26315)
+#26318 := (+ #26317 #26316)
+#26319 := (uf_43 #24108 #26318)
+#26320 := (= #26311 #26319)
+#26321 := (not #26320)
+#26322 := (or #26321 #26314)
+#26323 := (not #26322)
+#26294 := (or #26353 #26323)
+#26295 := (iff #26294 #26293)
+#26310 := (iff #26293 #26293)
+#26297 := [rewrite]: #26310
+#26351 := (iff #26323 #26350)
+#26348 := (iff #26322 #26345)
+#26342 := (or #26339 #26314)
+#26346 := (iff #26342 #26345)
+#26347 := [rewrite]: #26346
+#26343 := (iff #26322 #26342)
+#26340 := (iff #26321 #26339)
+#26337 := (iff #26320 #26336)
+#26334 := (= #26319 #26333)
+#26331 := (= #26318 #26317)
+#26326 := (+ #26317 0::int)
+#26329 := (= #26326 #26317)
+#26330 := [rewrite]: #26329
+#26327 := (= #26318 #26326)
+#26324 := (= #26316 0::int)
+#26325 := [rewrite]: #26324
+#26328 := [monotonicity #26325]: #26327
+#26332 := [trans #26328 #26330]: #26331
+#26335 := [monotonicity #26332]: #26334
+#26338 := [monotonicity #26335]: #26337
+#26341 := [monotonicity #26338]: #26340
+#26344 := [monotonicity #26341]: #26343
+#26349 := [trans #26344 #26347]: #26348
+#26352 := [monotonicity #26349]: #26351
+#26296 := [monotonicity #26352]: #26295
+#26298 := [trans #26296 #26297]: #26295
+#26292 := [quant-inst]: #26294
+#26299 := [mp #26292 #26298]: #26293
+#27785 := [unit-resolution #26299 #20322]: #26350
+#26385 := (or #26345 #26336)
+#26458 := [def-axiom]: #26385
+#27786 := [unit-resolution #26458 #27785]: #26336
+#27787 := (= #3044 #26311)
+#27788 := [monotonicity #27707 #27654]: #27787
+#26619 := [trans #27788 #27786]: #26566
+#26621 := [trans #26619 #27789]: #26620
+#26609 := [monotonicity #26621]: #26622
+#26661 := [symm #26609]: #26660
+#26662 := (= #24108 #24223)
+#26645 := [trans #27656 #27843]: #26662
+#26647 := [trans #26645 #26661]: #26287
+#26503 := (not #26287)
+#26502 := (not #26289)
+#26504 := (or #26502 #26261 #26503)
+#26505 := [def-axiom]: #26504
+#26659 := [unit-resolution #26505 #26647 #26618 #26613]: false
+#26648 := [lemma #26659]: #11970
+#28096 := (or #17631 #22692)
+#22695 := (or #17631 #17634 #22692)
+#22698 := (not #22695)
+decl uf_200 :: (-> T4 T5 T5 T16 T2)
+decl uf_282 :: T16
+#2957 := uf_282
+#2981 := (uf_43 #2977 #2980)
+#3042 := (uf_200 uf_287 #2981 #2981 uf_282)
+#11967 := (= uf_9 #3042)
+#12702 := (not #11967)
+#22701 := (or #12702 #22698)
+#22704 := (not #22701)
+#24010 := (uf_116 #2981)
+#25399 := (uf_43 #2977 #24010)
+#25810 := (uf_13 #25399)
+#26056 := (uf_12 #25810)
+#26059 := (= uf_14 #26056)
+#26178 := (not #26059)
+#2990 := (uf_12 #2977)
+#11873 := (= uf_14 #2990)
+#11876 := (not #11873)
+#26179 := (iff #11876 #26178)
+#26176 := (iff #11873 #26059)
+#26195 := (iff #26059 #11873)
+#26171 := (= #26056 #2990)
+#26169 := (= #25810 #2977)
+#24228 := (uf_13 #2981)
+#27920 := (= #24228 #2977)
+#24231 := (= #2977 #24228)
+#24236 := (or #24175 #24231)
+#24237 := [quant-inst]: #24236
+#27857 := [unit-resolution #24237 #22417]: #24231
+#27921 := [symm #27857]: #27920
+#26162 := (= #25810 #24228)
+#27876 := (= #25399 #2981)
+#25406 := (= #2981 #25399)
+#2986 := (uf_48 #2981 #2977)
+#11867 := (= uf_9 #2986)
+decl uf_283 :: int
+#2961 := uf_283
+#12768 := (* -1::int uf_283)
+decl uf_78 :: int
+#429 := uf_78
+#12769 := (+ uf_78 #12768)
+#12767 := (>= #12769 0::int)
+#12765 := (>= uf_283 0::int)
+decl uf_284 :: int
+#2965 := uf_284
+#12760 := (* -1::int uf_284)
+decl uf_76 :: int
+#409 := uf_76
+#12761 := (+ uf_76 #12760)
+#12759 := (>= #12761 0::int)
+#12757 := (>= uf_284 0::int)
+decl uf_285 :: int
+#2969 := uf_285
+#12752 := (* -1::int uf_285)
+#12753 := (+ uf_76 #12752)
+#12751 := (>= #12753 0::int)
+#12749 := (>= uf_285 0::int)
+#1042 := 1099511627776::int
+#12744 := (>= uf_286 1099511627776::int)
+#12745 := (not #12744)
+#12741 := (not #12740)
+decl uf_289 :: (-> T19 int)
+#3007 := (:var 0 T19)
+#3008 := (uf_289 #3007)
+#3009 := (pattern #3008)
+decl uf_290 :: int
+#3010 := uf_290
+#12733 := (* -1::int uf_290)
+#12734 := (+ #3008 #12733)
+#12732 := (>= #12734 0::int)
+#12731 := (not #12732)
+#12737 := (forall (vars (?x771 T19)) (:pat #3009) #12731)
+#12728 := (+ uf_76 #12727)
+#12726 := (>= #12728 0::int)
+#12724 := (>= uf_286 0::int)
+decl uf_294 :: (-> int T5 T2)
+decl uf_293 :: int
+#3018 := uf_293
+#3021 := (uf_294 uf_293 #23)
+#3022 := (pattern #3021)
+#11909 := (= uf_9 #3021)
+#11915 := (not #11909)
+#11920 := (forall (vars (?x772 T5)) (:pat #3022) #11915)
+decl uf_55 :: (-> T4 T2)
+#3004 := (uf_55 uf_287)
+#11903 := (= uf_9 #3004)
+decl uf_281 :: T1
+#2954 := uf_281
+#3002 := (uf_202 uf_281 uf_287)
+#11900 := (= uf_9 #3002)
+decl uf_203 :: (-> T4 T2)
+#3000 := (uf_203 uf_287)
+#11897 := (= uf_9 #3000)
+decl uf_23 :: (-> T3 T2)
+#2993 := (uf_23 #2977)
+#11879 := (= uf_9 #2993)
+#2988 := (uf_24 uf_287 #2981)
+#11870 := (= uf_9 #2988)
+#2984 := (uf_25 uf_287 #2981)
+#11864 := (= uf_26 #2984)
+#2982 := (uf_27 uf_287 #2981)
+#11860 := (= uf_9 #2982)
+decl uf_173 :: (-> T4 int)
+#3019 := (uf_173 uf_287)
+#3020 := (= uf_293 #3019)
+#3017 := (up_291 uf_287 uf_281 uf_279 uf_286 uf_4)
+#3015 := (up_292 uf_287 uf_281 uf_280 #2979 #11)
+#3014 := (up_291 uf_287 uf_281 uf_280 #3013 #11)
+#12823 := (and #3014 #3015 #3017 #3020 #11860 #11864 #11867 #11870 #11876 #11879 #11897 #11900 #11903 #11920 #12724 #12726 #12737 #12741 #12745 #12749 #12751 #12757 #12759 #12765 #12767)
+#13406 := (+ uf_78 #13378)
+#13405 := (>= #13406 0::int)
+#13399 := (+ uf_76 #13356)
+#13398 := (>= #13399 0::int)
+#13055 := (+ uf_76 #12965)
+#13395 := (>= #13055 0::int)
+#13364 := (not #13362)
+#4353 := (* -1::int uf_76)
+#4354 := (+ #161 #4353)
+#4355 := (<= #4354 0::int)
+#13370 := (and #4041 #4355 #13364)
+#13375 := (not #13370)
+#13383 := (or #13375 #13380)
+#13386 := (forall (vars (?x775 int)) #13383)
+#13359 := (not #13358)
+#13448 := (and #3055 #12030 #12741 #12910 #12913 #13359 #13386 #13389 #13392 #13395 #13398 #13402 #13405)
+#13453 := (not #13448)
+#13342 := (and #12910 #12913 #12967)
+#13347 := (not #13342)
+#13272 := (not #13270)
+#13306 := (and #3142 #4041 #4355 #13272)
+#13311 := (exists (vars (?x778 int)) #13306)
+#13278 := (and #4041 #4355 #13272)
+#13283 := (not #13278)
+#13291 := (or #13283 #13288)
+#13294 := (forall (vars (?x776 int)) #13291)
+#13314 := (not #13294)
+#13320 := (or #13314 #13311)
+#13325 := (and #13294 #13320)
+decl up_216 :: bool
+#2482 := up_216
+#13262 := (and up_216 #12113 #12116 #12119 #12122 #12910 #12913)
+#13267 := (not #13262)
+#13328 := (or #13267 #13325)
+#13331 := (and up_216 #13328)
+#13350 := (or #13331 #13347)
+#13211 := (and #12521 #12524 #12910 #12913 #12997 #13017)
+#13216 := (not #13211)
+#13129 := (not #13128)
+#13135 := (and #12446 #13129)
+#13098 := (not #13096)
+#13104 := (and #4041 #4355 #13098)
+#13109 := (not #13104)
+#13117 := (or #13109 #13114)
+#13120 := (forall (vars (?x785 int)) #13117)
+#13123 := (not #13120)
+#13140 := (or #13123 #13135)
+#13143 := (and #13120 #13140)
+#13146 := (or #13093 #13143)
+#13149 := (and #13089 #13146)
+#13054 := (>= #13055 1::int)
+#13081 := (and #3258 #13017 #13051 #13054 #13059 #13061)
+#13086 := (not #13081)
+#13152 := (or #13086 #13149)
+#13158 := (and #13051 #13054 #13152)
+#13219 := (or #13158 #13216)
+#13043 := (and #3236 #3237 #12346 #12355 #12375 #12380 #12383 #12913 #13017)
+#13048 := (not #13043)
+#13163 := (or #13048 #13158)
+#13169 := (and #12346 #12355 #13163)
+#12352 := (and #12346 #12349)
+#12503 := (not #12352)
+#13174 := (or #12503 #13169)
+#13180 := (and #12346 #12349 #13174)
+#13008 := (and #12910 #12913 #12996)
+#13013 := (not #13008)
+#13185 := (or #13013 #13180)
+#13222 := (and #13185 #13219)
+#12988 := (and #12346 #12355 #12910 #12913)
+#12993 := (not #12988)
+#13225 := (or #12993 #13222)
+#13231 := (and #12346 #12355 #13225)
+#13236 := (or #12503 #13231)
+#13242 := (and #12346 #12349 #13236)
+#12977 := (and #12910 #12913 #12968)
+#12982 := (not #12977)
+#13247 := (or #12982 #13242)
+#13353 := (and #13247 #13350)
+#12957 := (and #3195 #3196 #3197 #3198 #3199 #3200 #11903 #12067 #12261 #12910 #12913)
+#12962 := (not #12957)
+#13462 := (or #12962 #13353 #13453)
+#13470 := (and #3055 #12741 #13462)
+#12870 := (not #12869)
+#12876 := (and #4041 #4355 #12870)
+#12881 := (not #12876)
+#12889 := (or #12881 #12885)
+#12892 := (forall (vars (?x773 int)) #12889)
+#12895 := (not #12892)
+#13475 := (or #12895 #13470)
+#13478 := (and #12892 #13475)
+#13481 := (or #12866 #13478)
+#13484 := (and #12863 #13481)
+#12855 := (and #3055 #3056 #3057 #3058 #11970 #11979)
+#12860 := (not #12855)
+#13487 := (or #12860 #13484)
+#13493 := (and #11970 #11979 #13487)
+#11976 := (and #11970 #11973)
+#12690 := (not #11976)
+#13498 := (or #12690 #13493)
+#13504 := (and #11970 #11973 #13498)
+#13509 := (or #12702 #13504)
+#13512 := (and #11967 #13509)
+#12828 := (not #12823)
+#13515 := (or #12828 #13512)
+#13518 := (not #13515)
+#3137 := (< #161 uf_286)
+#3143 := (and #3137 #3142)
+#411 := (<= #161 uf_76)
+#3144 := (and #411 #3143)
+#285 := (<= 0::int #161)
+#3145 := (and #285 #3144)
+#3146 := (exists (vars (?x778 int)) #3145)
+#3139 := (<= #3073 uf_302)
+#412 := (and #285 #411)
+#3138 := (and #412 #3137)
+#3140 := (implies #3138 #3139)
+#3141 := (forall (vars (?x776 int)) #3140)
+#3147 := (implies #3141 #3146)
+#3148 := (and #3141 #3147)
+#3129 := (= uf_302 uf_296)
+#3127 := (= uf_301 uf_297)
+#3130 := (and #3127 #3129)
+#3125 := (= uf_300 uf_298)
+#3131 := (and #3125 #3130)
+#3123 := (= uf_299 uf_296)
+#3132 := (and #3123 #3131)
+#3084 := (<= 0::int uf_297)
+#3091 := (<= 1::int uf_298)
+#3092 := (and #3091 #3084)
+#3133 := (and #3092 #3132)
+#3134 := (and #3092 #3133)
+#3135 := (and #3092 #3134)
+#3136 := (and up_216 #3135)
+#3149 := (implies #3136 #3148)
+#3150 := (and up_216 #3149)
+#3116 := (and #3092 #3092)
+#3304 := (and #3092 #3116)
+#3305 := (and #3092 #3304)
+#3303 := (<= uf_286 uf_298)
+#3306 := (and #3303 #3305)
+#3307 := (and #3092 #3306)
+#3308 := (implies #3307 #3150)
+#3273 := (= #3272 uf_304)
+#3270 := (< uf_305 uf_286)
+#3274 := (and #3270 #3273)
+#3267 := (<= #3073 uf_304)
+#3265 := (< #161 uf_306)
+#3266 := (and #412 #3265)
+#3268 := (implies #3266 #3267)
+#3269 := (forall (vars (?x785 int)) #3268)
+#3275 := (implies #3269 #3274)
+#3276 := (and #3269 #3275)
+#3264 := (<= uf_306 uf_286)
+#3277 := (implies #3264 #3276)
+#3278 := (and #3264 #3277)
+#3243 := (<= 0::int uf_305)
+#3259 := (<= 2::int uf_306)
+#3260 := (and #3259 #3243)
+#3261 := (and #3258 #3260)
+#3252 := (+ uf_298 1::int)
+#3257 := (= uf_306 #3252)
+#3262 := (and #3257 #3261)
+#3254 := (<= #3252 uf_76)
+#3253 := (<= 0::int #3252)
+#3255 := (and #3253 #3254)
+#3263 := (and #3255 #3262)
+#3279 := (implies #3263 #3278)
+#3280 := (and #3255 #3279)
+#3244 := (and #3091 #3243)
+#3288 := (= uf_305 uf_297)
+#3289 := (and #3288 #3244)
+#3287 := (= uf_304 uf_296)
+#3290 := (and #3287 #3289)
+#3291 := (and #3092 #3290)
+#3292 := (and #3092 #3291)
+#3293 := (and #3092 #3292)
+#3286 := (<= #3230 uf_296)
+#3294 := (and #3286 #3293)
+#3295 := (and #3092 #3294)
+#3296 := (implies #3295 #3280)
+#3245 := (and #3242 #3244)
+#3240 := (= uf_304 uf_303)
+#3246 := (and #3240 #3245)
+#3238 := (and #3091 #3091)
+#3247 := (and #3238 #3246)
+#3248 := (and #3237 #3247)
+#3249 := (and #3236 #3248)
+#3235 := (= uf_303 #3230)
+#3250 := (and #3235 #3249)
+#3227 := (= #3226 uf_9)
+#3222 := (= #3221 uf_9)
+#3228 := (and #3222 #3227)
+#3251 := (and #3228 #3250)
+#3281 := (implies #3251 #3280)
+#3282 := (and #3228 #3281)
+#3224 := (= #3223 uf_9)
+#3225 := (and #3222 #3224)
+#3283 := (implies #3225 #3282)
+#3284 := (and #3225 #3283)
+#3231 := (< uf_296 #3230)
+#3232 := (and #3231 #3116)
+#3233 := (and #3092 #3232)
+#3285 := (implies #3233 #3284)
+#3297 := (and #3285 #3296)
+#3229 := (and #3228 #3092)
+#3298 := (implies #3229 #3297)
+#3299 := (and #3228 #3298)
+#3300 := (implies #3225 #3299)
+#3301 := (and #3225 #3300)
+#3217 := (< uf_298 uf_286)
+#3218 := (and #3217 #3116)
+#3219 := (and #3092 #3218)
+#3302 := (implies #3219 #3301)
+#3309 := (and #3302 #3308)
+decl uf_41 :: (-> T4 T12)
+#3152 := (uf_41 uf_287)
+#3203 := (= #3152 #3152)
+#3202 := (= #3175 #3175)
+#3204 := (and #3202 #3203)
+#3205 := (and #3204 #3092)
+#3201 := (and #3199 #3200)
+#3206 := (and #3201 #3205)
+#3207 := (and #3198 #3206)
+#3208 := (and #3197 #3207)
+#3209 := (and #3196 #3208)
+#3210 := (and #3195 #3209)
+#3005 := (= #3004 uf_9)
+#3114 := (= #3113 uf_9)
+#3115 := (and #3114 #3005)
+#3211 := (and #3115 #3210)
+#3188 := (= #3187 uf_9)
+decl uf_172 :: (-> T4 T5 int)
+#3183 := (uf_172 uf_287 #23)
+#3184 := (pattern #3183)
+#3185 := (<= #3183 #3183)
+#3186 := (forall (vars (?x783 T5)) (:pat #3184) #3185)
+#3189 := (and #3186 #3188)
+#3182 := (<= #3019 #3019)
+#3190 := (and #3182 #3189)
+#3212 := (and #3190 #3211)
+#3176 := (uf_58 #3175 #23)
+#3177 := (pattern #3176)
+#3165 := (uf_68 uf_287 #23)
+#3166 := (= #3165 uf_9)
+#3178 := (= #3176 #3176)
+#3179 := (and #3178 #3166)
+#3180 := (implies #3166 #3179)
+#3181 := (forall (vars (?x782 T5)) (:pat #3177) #3180)
+#3191 := (and #3181 #3190)
+decl uf_40 :: (-> T12 T5 T11)
+#3153 := (uf_40 #3152 #23)
+#3154 := (pattern #3153)
+#3171 := (= #3153 #3153)
+#3172 := (and #3171 #3166)
+#3173 := (implies #3166 #3172)
+#3174 := (forall (vars (?x781 T5)) (:pat #3154) #3173)
+#3192 := (and #3174 #3191)
+decl uf_19 :: (-> T9 T5 int)
+decl uf_20 :: (-> T4 T9)
+#3162 := (uf_20 uf_287)
+#3163 := (uf_19 #3162 #23)
+#3164 := (pattern #3163)
+#3167 := (= #3163 #3163)
+#3168 := (and #3167 #3166)
+#3169 := (implies #3166 #3168)
+#3170 := (forall (vars (?x780 T5)) (:pat #3164) #3169)
+#3193 := (and #3170 #3192)
+decl uf_261 :: T8
+#2837 := uf_261
+#3155 := (uf_25 uf_287 #23)
+#3156 := (uf_13 #3155)
+#3157 := (uf_12 #3156)
+#3158 := (= #3157 uf_261)
+#3159 := (not #3158)
+#3160 := (implies #3159 #3159)
+#3161 := (forall (vars (?x779 T5)) (:pat #3154) #3160)
+#3194 := (and #3161 #3193)
+#3213 := (and #3194 #3212)
+#3214 := (and #3092 #3213)
+#3215 := (and #3092 #3214)
+#3216 := (and #3092 #3215)
+#3310 := (implies #3216 #3309)
+#3117 := (and #3115 #3116)
+#3118 := (and #3092 #3117)
+#3119 := (and #3092 #3118)
+#1 := true
+#3112 := (not true)
+#3120 := (and #3112 #3119)
+#3121 := (and #3092 #3120)
+#3151 := (implies #3121 #3150)
+#3311 := (and #3151 #3310)
+#3102 := (= #3101 uf_296)
+#3099 := (< uf_297 uf_286)
+#3103 := (and #3099 #3102)
+#3104 := (and #3103 #3092)
+#3096 := (<= #3073 uf_296)
+#3094 := (< #161 uf_298)
+#3095 := (and #412 #3094)
+#3097 := (implies #3095 #3096)
+#3098 := (forall (vars (?x775 int)) #3097)
+#3105 := (and #3098 #3104)
+#3093 := (<= uf_298 uf_286)
+#3106 := (and #3093 #3105)
+#3107 := (and #3092 #3106)
+#3089 := (<= uf_298 uf_76)
+#3088 := (<= 0::int uf_298)
+#3090 := (and #3088 #3089)
+#3108 := (and #3090 #3107)
+#3085 := (<= uf_297 uf_76)
+#3086 := (and #3084 #3085)
+#3109 := (and #3086 #3108)
+#3081 := (<= uf_296 uf_78)
+#3080 := (<= 0::int uf_296)
+#3082 := (and #3080 #3081)
+#3110 := (and #3082 #3109)
+#3077 := (= #3054 uf_295)
+#2975 := (< 0::int uf_286)
+#3078 := (and #2975 #3077)
+#3111 := (and #3078 #3110)
+#3312 := (implies #3111 #3311)
+#3313 := (and #3078 #3312)
+#3074 := (<= #3073 uf_295)
+#3070 := (< #161 1::int)
+#3071 := (and #412 #3070)
+#3075 := (implies #3071 #3074)
+#3076 := (forall (vars (?x773 int)) #3075)
+#3314 := (implies #3076 #3313)
+#3315 := (and #3076 #3314)
+#3069 := (<= 1::int uf_286)
+#3316 := (implies #3069 #3315)
+#3317 := (and #3069 #3316)
+#3060 := (<= 0::int 0::int)
+#3061 := (and #3060 #3060)
+#3059 := (<= 1::int 1::int)
+#3062 := (and #3059 #3061)
+#3063 := (and #3059 #3062)
+#3064 := (and #3058 #3063)
+#3065 := (and #3057 #3064)
+#3066 := (and #3056 #3065)
+#3067 := (and #3055 #3066)
+#3051 := (= #3050 uf_9)
+#3046 := (= #3045 uf_9)
+#3052 := (and #3046 #3051)
+#3068 := (and #3052 #3067)
+#3318 := (implies #3068 #3317)
+#3319 := (and #3052 #3318)
+#3048 := (= #3047 uf_9)
+#3049 := (and #3046 #3048)
+#3320 := (implies #3049 #3319)
+#3321 := (and #3049 #3320)
+#3043 := (= #3042 uf_9)
+#3322 := (implies #3043 #3321)
+#3323 := (and #3043 #3322)
+#3027 := (<= uf_286 uf_76)
+#3026 := (<= 0::int uf_286)
+#3028 := (and #3026 #3027)
+#3023 := (= #3021 uf_9)
+#3024 := (iff #3023 false)
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+#3032 := (and #3016 #3031)
+#3011 := (< #3008 uf_290)
+#3012 := (forall (vars (?x771 T19)) (:pat #3009) #3011)
+#3033 := (and #3012 #3032)
+#3003 := (= #3002 uf_9)
+#3006 := (and #3003 #3005)
+#3034 := (and #3006 #3033)
+#3001 := (= #3000 uf_9)
+#3035 := (and #3001 #3034)
+#2994 := (= #2993 uf_9)
+#2991 := (= #2990 uf_14)
+#2992 := (not #2991)
+#2995 := (and #2992 #2994)
+#2989 := (= #2988 uf_9)
+#2996 := (and #2989 #2995)
+#2987 := (= #2986 uf_9)
+#2997 := (and #2987 #2996)
+#2985 := (= #2984 uf_26)
+#2998 := (and #2985 #2997)
+#2983 := (= #2982 uf_9)
+#2999 := (and #2983 #2998)
+#3036 := (and #2999 #3035)
+#3037 := (and #2975 #3036)
+#2974 := (< uf_286 1099511627776::int)
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+#2971 := (<= uf_285 uf_76)
+#2970 := (<= 0::int uf_285)
+#2972 := (and #2970 #2971)
+#3039 := (and #2972 #3038)
+#2967 := (<= uf_284 uf_76)
+#2966 := (<= 0::int uf_284)
+#2968 := (and #2966 #2967)
+#3040 := (and #2968 #3039)
+#2963 := (<= uf_283 uf_78)
+#2962 := (<= 0::int uf_283)
+#2964 := (and #2962 #2963)
+#3041 := (and #2964 #3040)
+#3324 := (implies #3041 #3323)
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+#12605 := (and #3303 #12020)
+#12608 := (and #12020 #12605)
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+#12146 := (not #3138)
+#12147 := (or #12146 #3139)
+#12150 := (forall (vars (?x776 int)) #12147)
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+#12157 := (or #3146 #12156)
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+#12615 := (or #12174 #12614)
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+#12440 := (or #12439 #3267)
+#12443 := (forall (vars (?x785 int)) #12440)
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+#12456 := (or #12455 #12449)
+#12461 := (and #12443 #12456)
+#12467 := (not #3264)
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+#12473 := (and #3264 #12468)
+#12427 := (and #3243 #3259)
+#12430 := (and #3258 #12427)
+#12412 := (+ 1::int uf_298)
+#12424 := (= uf_306 #12412)
+#12433 := (and #12424 #12430)
+#12418 := (<= #12412 uf_76)
+#12415 := (<= 0::int #12412)
+#12421 := (and #12415 #12418)
+#12436 := (and #12421 #12433)
+#12479 := (not #12436)
+#12480 := (or #12479 #12473)
+#12485 := (and #12421 #12480)
+#12557 := (or #12485 #12556)
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+#12406 := (and #12375 #12403)
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+#12492 := (or #12491 #12485)
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+#12509 := (and #12352 #12504)
+#12369 := (and #3231 #12020)
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+#12516 := (or #12515 #12509)
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+#12364 := (and #12020 #12358)
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+#12569 := (or #12568 #12562)
+#12574 := (and #12358 #12569)
+#12580 := (or #12503 #12574)
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+#12667 := (or #12666 #12660)
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+#11999 := (and #3056 #11996)
+#12002 := (and #3055 #11999)
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+#12679 := (or #12678 #12672)
+#12684 := (and #11982 #12679)
+#12691 := (or #12690 #12684)
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+#12708 := (and #11967 #12703)
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+#11937 := (and #3016 #11934)
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+#11943 := (and #11906 #11940)
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+#11882 := (and #11876 #11879)
+#11885 := (and #11870 #11882)
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+#11894 := (and #11860 #11891)
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+#11952 := (and #2975 #11949)
+#11955 := (and #2974 #11952)
+#11958 := (and #2972 #11955)
+#11961 := (and #2968 #11958)
+#11964 := (and #2964 #11961)
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+#12715 := (or #12714 #12708)
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+#13519 := (iff #12720 #13518)
+#13516 := (iff #12715 #13515)
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+#13507 := (iff #12696 #13504)
+#13501 := (and #11976 #13498)
+#13505 := (iff #13501 #13504)
+#13506 := [rewrite]: #13505
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+#13499 := (iff #12691 #13498)
+#13496 := (iff #12684 #13493)
+#13490 := (and #11982 #13487)
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+#13459 := (or #13453 #13456)
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+#13351 := (iff #12615 #13350)
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+#13339 := (and #12915 #13336)
+#13343 := (iff #13339 #13342)
+#13344 := [rewrite]: #13343
+#13340 := (iff #12608 #13339)
+#13337 := (iff #12605 #13336)
+#12916 := (iff #12020 #12915)
+#12912 := (iff #3091 #12913)
+#12914 := [rewrite]: #12912
+#12909 := (iff #3084 #12910)
+#12911 := [rewrite]: #12909
+#12917 := [monotonicity #12911 #12914]: #12916
+#13334 := (iff #3303 #12967)
+#13335 := [rewrite]: #13334
+#13338 := [monotonicity #13335 #12917]: #13337
+#13341 := [monotonicity #12917 #13338]: #13340
+#13346 := [trans #13341 #13344]: #13345
+#13349 := [monotonicity #13346]: #13348
+#13332 := (iff #12174 #13331)
+#13329 := (iff #12169 #13328)
+#13326 := (iff #12162 #13325)
+#13323 := (iff #12157 #13320)
+#13317 := (or #13311 #13314)
+#13321 := (iff #13317 #13320)
+#13322 := [rewrite]: #13321
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+#4362 := (and #4041 #4355)
+#13275 := (and #4362 #13272)
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+#13280 := [rewrite]: #13279
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+#13274 := [rewrite]: #13273
+#4363 := (iff #412 #4362)
+#4356 := (iff #411 #4355)
+#4357 := [rewrite]: #4356
+#4039 := (iff #285 #4041)
+#4040 := [rewrite]: #4039
+#4364 := [monotonicity #4040 #4357]: #4363
+#13277 := [monotonicity #4364 #13274]: #13276
+#13282 := [trans #13277 #13280]: #13281
+#13285 := [monotonicity #13282]: #13284
+#13293 := [monotonicity #13285 #13290]: #13292
+#13296 := [quant-intro #13293]: #13295
+#13316 := [monotonicity #13296]: #13315
+#13312 := (iff #3146 #13311)
+#13309 := (iff #3145 #13306)
+#13297 := (and #13272 #3142)
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+#13308 := [rewrite]: #13307
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+#13299 := [monotonicity #13274]: #13298
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+#13305 := [monotonicity #4040 #13302]: #13304
+#13310 := [trans #13305 #13308]: #13309
+#13313 := [quant-intro #13310]: #13312
+#13319 := [monotonicity #13313 #13316]: #13318
+#13324 := [trans #13319 #13322]: #13323
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+#13265 := (iff #12143 #13262)
+#13250 := (and #12915 #12131)
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+#13261 := [monotonicity #13258]: #13260
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+#13228 := (and #12358 #13225)
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+#13018 := [rewrite]: #13016
+#13021 := [monotonicity #12914 #13018]: #13020
+#13192 := [monotonicity #13021]: #13191
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+#13201 := [monotonicity #12917 #13198]: #13200
+#13204 := [monotonicity #12917 #13201]: #13203
+#13188 := (iff #3286 #12997)
+#13189 := [rewrite]: #13188
+#13207 := [monotonicity #13189 #13204]: #13206
+#13210 := [monotonicity #12917 #13207]: #13209
+#13215 := [trans #13210 #13213]: #13214
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+#13075 := (and #13051 #13054)
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+#13137 := [rewrite]: #13136
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+#13099 := (iff #3265 #13098)
+#13100 := [rewrite]: #13099
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+#13108 := [trans #13103 #13106]: #13107
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+#13125 := [monotonicity #13122]: #13124
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+#13145 := [monotonicity #13122 #13142]: #13144
+#13094 := (iff #12467 #13093)
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+#13071 := [monotonicity #13068]: #13070
+#13064 := (iff #12424 #13061)
+#13065 := [rewrite]: #13064
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+#13076 := (iff #12421 #13075)
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+#13057 := [rewrite]: #13056
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+#13053 := [rewrite]: #13052
+#13077 := [monotonicity #13053 #13057]: #13076
+#13080 := [monotonicity #13077 #13074]: #13079
+#13085 := [trans #13080 #13083]: #13084
+#13088 := [monotonicity #13085]: #13087
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+#13157 := [monotonicity #13077 #13154]: #13156
+#13162 := [trans #13157 #13160]: #13161
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+#13040 := (and #12358 #13037)
+#13044 := (iff #13040 #13043)
+#13045 := [rewrite]: #13044
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+#13038 := (iff #12406 #13037)
+#13035 := (iff #12403 #13034)
+#13032 := (iff #12400 #13031)
+#13029 := (iff #12397 #13028)
+#13026 := (iff #12394 #13025)
+#13023 := (iff #12389 #13022)
+#13024 := [monotonicity #13021]: #13023
+#13027 := [monotonicity #13024]: #13026
+#13030 := [monotonicity #12914 #13027]: #13029
+#13033 := [monotonicity #13030]: #13032
+#13036 := [monotonicity #13033]: #13035
+#13039 := [monotonicity #13036]: #13038
+#13042 := [monotonicity #13039]: #13041
+#13047 := [trans #13042 #13045]: #13046
+#13050 := [monotonicity #13047]: #13049
+#13165 := [monotonicity #13050 #13162]: #13164
+#13168 := [monotonicity #13165]: #13167
+#13173 := [trans #13168 #13171]: #13172
+#13176 := [monotonicity #13173]: #13175
+#13179 := [monotonicity #13176]: #13178
+#13184 := [trans #13179 #13182]: #13183
+#13014 := (iff #12515 #13013)
+#13011 := (iff #12372 #13008)
+#13002 := (and #12996 #12915)
+#13005 := (and #12915 #13002)
+#13009 := (iff #13005 #13008)
+#13010 := [rewrite]: #13009
+#13006 := (iff #12372 #13005)
+#13003 := (iff #12369 #13002)
+#13000 := (iff #3231 #12996)
+#13001 := [rewrite]: #13000
+#13004 := [monotonicity #13001 #12917]: #13003
+#13007 := [monotonicity #12917 #13004]: #13006
+#13012 := [trans #13007 #13010]: #13011
+#13015 := [monotonicity #13012]: #13014
+#13187 := [monotonicity #13015 #13184]: #13186
+#13224 := [monotonicity #13187 #13221]: #13223
+#12994 := (iff #12568 #12993)
+#12991 := (iff #12364 #12988)
+#12985 := (and #12915 #12358)
+#12989 := (iff #12985 #12988)
+#12990 := [rewrite]: #12989
+#12986 := (iff #12364 #12985)
+#12987 := [monotonicity #12917]: #12986
+#12992 := [trans #12987 #12990]: #12991
+#12995 := [monotonicity #12992]: #12994
+#13227 := [monotonicity #12995 #13224]: #13226
+#13230 := [monotonicity #13227]: #13229
+#13235 := [trans #13230 #13233]: #13234
+#13238 := [monotonicity #13235]: #13237
+#13241 := [monotonicity #13238]: #13240
+#13246 := [trans #13241 #13244]: #13245
+#12983 := (iff #12591 #12982)
+#12980 := (iff #12343 #12977)
+#12971 := (and #12968 #12915)
+#12974 := (and #12915 #12971)
+#12978 := (iff #12974 #12977)
+#12979 := [rewrite]: #12978
+#12975 := (iff #12343 #12974)
+#12972 := (iff #12340 #12971)
+#12969 := (iff #3217 #12968)
+#12970 := [rewrite]: #12969
+#12973 := [monotonicity #12970 #12917]: #12972
+#12976 := [monotonicity #12917 #12973]: #12975
+#12981 := [trans #12976 #12979]: #12980
+#12984 := [monotonicity #12981]: #12983
+#13249 := [monotonicity #12984 #13246]: #13248
+#13355 := [monotonicity #13249 #13352]: #13354
+#12963 := (iff #12626 #12962)
+#12960 := (iff #12337 #12957)
+#12918 := (and #3201 #12915)
+#12921 := (and #3198 #12918)
+#12924 := (and #3197 #12921)
+#12927 := (and #3196 #12924)
+#12930 := (and #3195 #12927)
+#12933 := (and #12073 #12930)
+#12936 := (and true #12261)
+#12939 := (and true #12936)
+#12942 := (and #12939 #12933)
+#12945 := (and #12939 #12942)
+#12948 := (and #12915 #12945)
+#12951 := (and #12915 #12948)
+#12954 := (and #12915 #12951)
+#12958 := (iff #12954 #12957)
+#12959 := [rewrite]: #12958
+#12955 := (iff #12337 #12954)
+#12952 := (iff #12334 #12951)
+#12949 := (iff #12331 #12948)
+#12946 := (iff #12328 #12945)
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+#12934 := (iff #12322 #12933)
+#12931 := (iff #12319 #12930)
+#12928 := (iff #12316 #12927)
+#12925 := (iff #12313 #12924)
+#12922 := (iff #12310 #12921)
+#12919 := (iff #12307 #12918)
+#12920 := [monotonicity #12917]: #12919
+#12923 := [monotonicity #12920]: #12922
+#12926 := [monotonicity #12923]: #12925
+#12929 := [monotonicity #12926]: #12928
+#12932 := [monotonicity #12929]: #12931
+#12935 := [monotonicity #12932]: #12934
+#12940 := (iff #12267 #12939)
+#12937 := (iff #12264 #12936)
+#12905 := (iff #3186 true)
+#12900 := (forall (vars (?x783 T5)) (:pat #3184) true)
+#12903 := (iff #12900 true)
+#12904 := [elim-unused]: #12903
+#12901 := (iff #3186 #12900)
+#12898 := (iff #3185 true)
+#12899 := [rewrite]: #12898
+#12902 := [quant-intro #12899]: #12901
+#12906 := [trans #12902 #12904]: #12905
+#12938 := [monotonicity #12906]: #12937
+#12907 := (iff #3182 true)
+#12908 := [rewrite]: #12907
+#12941 := [monotonicity #12908 #12938]: #12940
+#12944 := [monotonicity #12941 #12935]: #12943
+#12947 := [monotonicity #12941 #12944]: #12946
+#12950 := [monotonicity #12917 #12947]: #12949
+#12953 := [monotonicity #12917 #12950]: #12952
+#12956 := [monotonicity #12917 #12953]: #12955
+#12961 := [trans #12956 #12959]: #12960
+#12964 := [monotonicity #12961]: #12963
+#13458 := [monotonicity #12964 #13355]: #13457
+#13454 := (iff #12642 #13453)
+#13451 := (iff #12062 #13448)
+#13409 := (and #13359 #12030)
+#13412 := (and #12915 #13409)
+#13415 := (and #13386 #13412)
+#13418 := (and #13389 #13415)
+#13421 := (and #12915 #13418)
+#13424 := (and #13392 #13395)
+#13427 := (and #13424 #13421)
+#13430 := (and #12910 #13398)
+#13433 := (and #13430 #13427)
+#13436 := (and #13402 #13405)
+#13439 := (and #13436 #13433)
+#13445 := (and #13442 #13439)
+#13449 := (iff #13445 #13448)
+#13450 := [rewrite]: #13449
+#13446 := (iff #12062 #13445)
+#13440 := (iff #12059 #13439)
+#13434 := (iff #12056 #13433)
+#13428 := (iff #12053 #13427)
+#13422 := (iff #12050 #13421)
+#13419 := (iff #12047 #13418)
+#13416 := (iff #12044 #13415)
+#13413 := (iff #12039 #13412)
+#13410 := (iff #12033 #13409)
+#13360 := (iff #3099 #13359)
+#13361 := [rewrite]: #13360
+#13411 := [monotonicity #13361]: #13410
+#13414 := [monotonicity #12917 #13411]: #13413
+#13387 := (iff #12027 #13386)
+#13384 := (iff #12024 #13383)
+#13381 := (iff #3096 #13380)
+#13382 := [rewrite]: #13381
+#13376 := (iff #12023 #13375)
+#13373 := (iff #3095 #13370)
+#13367 := (and #4362 #13364)
+#13371 := (iff #13367 #13370)
+#13372 := [rewrite]: #13371
+#13368 := (iff #3095 #13367)
+#13365 := (iff #3094 #13364)
+#13366 := [rewrite]: #13365
+#13369 := [monotonicity #4364 #13366]: #13368
+#13374 := [trans #13369 #13372]: #13373
+#13377 := [monotonicity #13374]: #13376
+#13385 := [monotonicity #13377 #13382]: #13384
+#13388 := [quant-intro #13385]: #13387
+#13417 := [monotonicity #13388 #13414]: #13416
+#13390 := (iff #3093 #13389)
+#13391 := [rewrite]: #13390
+#13420 := [monotonicity #13391 #13417]: #13419
+#13423 := [monotonicity #12917 #13420]: #13422
+#13425 := (iff #3090 #13424)
+#13396 := (iff #3089 #13395)
+#13397 := [rewrite]: #13396
+#13393 := (iff #3088 #13392)
+#13394 := [rewrite]: #13393
+#13426 := [monotonicity #13394 #13397]: #13425
+#13429 := [monotonicity #13426 #13423]: #13428
+#13431 := (iff #3086 #13430)
+#13400 := (iff #3085 #13398)
+#13401 := [rewrite]: #13400
+#13432 := [monotonicity #12911 #13401]: #13431
+#13435 := [monotonicity #13432 #13429]: #13434
+#13437 := (iff #3082 #13436)
+#13407 := (iff #3081 #13405)
+#13408 := [rewrite]: #13407
+#13403 := (iff #3080 #13402)
+#13404 := [rewrite]: #13403
+#13438 := [monotonicity #13404 #13408]: #13437
+#13441 := [monotonicity #13438 #13435]: #13440
+#13443 := (iff #12017 #13442)
+#12742 := (iff #2975 #12741)
+#12743 := [rewrite]: #12742
+#13444 := [monotonicity #12743]: #13443
+#13447 := [monotonicity #13444 #13441]: #13446
+#13452 := [trans #13447 #13450]: #13451
+#13455 := [monotonicity #13452]: #13454
+#13461 := [monotonicity #13455 #13458]: #13460
+#13466 := [trans #13461 #13464]: #13465
+#13469 := [monotonicity #13444 #13466]: #13468
+#13474 := [trans #13469 #13472]: #13473
+#12896 := (iff #12654 #12895)
+#12893 := (iff #12012 #12892)
+#12890 := (iff #12009 #12889)
+#12884 := (iff #3074 #12885)
+#12888 := [rewrite]: #12884
+#12882 := (iff #12008 #12881)
+#12879 := (iff #3071 #12876)
+#12873 := (and #4362 #12870)
+#12877 := (iff #12873 #12876)
+#12878 := [rewrite]: #12877
+#12874 := (iff #3071 #12873)
+#12871 := (iff #3070 #12870)
+#12872 := [rewrite]: #12871
+#12875 := [monotonicity #4364 #12872]: #12874
+#12880 := [trans #12875 #12878]: #12879
+#12883 := [monotonicity #12880]: #12882
+#12891 := [monotonicity #12883 #12888]: #12890
+#12894 := [quant-intro #12891]: #12893
+#12897 := [monotonicity #12894]: #12896
+#13477 := [monotonicity #12897 #13474]: #13476
+#13480 := [monotonicity #12894 #13477]: #13479
+#12867 := (iff #12666 #12866)
+#12864 := (iff #3069 #12863)
+#12865 := [rewrite]: #12864
+#12868 := [monotonicity #12865]: #12867
+#13483 := [monotonicity #12868 #13480]: #13482
+#13486 := [monotonicity #12865 #13483]: #13485
+#12861 := (iff #12678 #12860)
+#12858 := (iff #12005 #12855)
+#12293 := (and true true)
+#12837 := (and true #12293)
+#12840 := (and #3058 #12837)
+#12843 := (and #3057 #12840)
+#12846 := (and #3056 #12843)
+#12849 := (and #3055 #12846)
+#12852 := (and #11982 #12849)
+#12856 := (iff #12852 #12855)
+#12857 := [rewrite]: #12856
+#12853 := (iff #12005 #12852)
+#12850 := (iff #12002 #12849)
+#12847 := (iff #11999 #12846)
+#12844 := (iff #11996 #12843)
+#12841 := (iff #11993 #12840)
+#12838 := (iff #11990 #12837)
+#12835 := (iff #11987 #12293)
+#12833 := (iff #3060 true)
+#12834 := [rewrite]: #12833
+#12831 := (iff #3059 true)
+#12832 := [rewrite]: #12831
+#12836 := [monotonicity #12832 #12834]: #12835
+#12839 := [monotonicity #12832 #12836]: #12838
+#12842 := [monotonicity #12839]: #12841
+#12845 := [monotonicity #12842]: #12844
+#12848 := [monotonicity #12845]: #12847
+#12851 := [monotonicity #12848]: #12850
+#12854 := [monotonicity #12851]: #12853
+#12859 := [trans #12854 #12857]: #12858
+#12862 := [monotonicity #12859]: #12861
+#13489 := [monotonicity #12862 #13486]: #13488
+#13492 := [monotonicity #13489]: #13491
+#13497 := [trans #13492 #13495]: #13496
+#13500 := [monotonicity #13497]: #13499
+#13503 := [monotonicity #13500]: #13502
+#13508 := [trans #13503 #13506]: #13507
+#13511 := [monotonicity #13508]: #13510
+#13514 := [monotonicity #13511]: #13513
+#12829 := (iff #12714 #12828)
+#12826 := (iff #11964 #12823)
+#12772 := (and #12724 #12726)
+#12775 := (and #12772 #11920)
+#12778 := (and #3020 #12775)
+#12781 := (and #3017 #12778)
+#12784 := (and #3016 #12781)
+#12787 := (and #12737 #12784)
+#12790 := (and #11906 #12787)
+#12793 := (and #11897 #12790)
+#12796 := (and #11894 #12793)
+#12799 := (and #12741 #12796)
+#12802 := (and #12745 #12799)
+#12805 := (and #12749 #12751)
+#12808 := (and #12805 #12802)
+#12811 := (and #12757 #12759)
+#12814 := (and #12811 #12808)
+#12817 := (and #12765 #12767)
+#12820 := (and #12817 #12814)
+#12824 := (iff #12820 #12823)
+#12825 := [rewrite]: #12824
+#12821 := (iff #11964 #12820)
+#12815 := (iff #11961 #12814)
+#12809 := (iff #11958 #12808)
+#12803 := (iff #11955 #12802)
+#12800 := (iff #11952 #12799)
+#12797 := (iff #11949 #12796)
+#12794 := (iff #11946 #12793)
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+#12788 := (iff #11940 #12787)
+#12785 := (iff #11937 #12784)
+#12782 := (iff #11934 #12781)
+#12779 := (iff #11931 #12778)
+#12776 := (iff #11926 #12775)
+#12773 := (iff #3028 #12772)
+#12729 := (iff #3027 #12726)
+#12730 := [rewrite]: #12729
+#12723 := (iff #3026 #12724)
+#12725 := [rewrite]: #12723
+#12774 := [monotonicity #12725 #12730]: #12773
+#12777 := [monotonicity #12774]: #12776
+#12780 := [monotonicity #12777]: #12779
+#12783 := [monotonicity #12780]: #12782
+#12786 := [monotonicity #12783]: #12785
+#12738 := (iff #3012 #12737)
+#12735 := (iff #3011 #12731)
+#12736 := [rewrite]: #12735
+#12739 := [quant-intro #12736]: #12738
+#12789 := [monotonicity #12739 #12786]: #12788
+#12792 := [monotonicity #12789]: #12791
+#12795 := [monotonicity #12792]: #12794
+#12798 := [monotonicity #12795]: #12797
+#12801 := [monotonicity #12743 #12798]: #12800
+#12746 := (iff #2974 #12745)
+#12747 := [rewrite]: #12746
+#12804 := [monotonicity #12747 #12801]: #12803
+#12806 := (iff #2972 #12805)
+#12754 := (iff #2971 #12751)
+#12755 := [rewrite]: #12754
+#12748 := (iff #2970 #12749)
+#12750 := [rewrite]: #12748
+#12807 := [monotonicity #12750 #12755]: #12806
+#12810 := [monotonicity #12807 #12804]: #12809
+#12812 := (iff #2968 #12811)
+#12762 := (iff #2967 #12759)
+#12763 := [rewrite]: #12762
+#12756 := (iff #2966 #12757)
+#12758 := [rewrite]: #12756
+#12813 := [monotonicity #12758 #12763]: #12812
+#12816 := [monotonicity #12813 #12810]: #12815
+#12818 := (iff #2964 #12817)
+#12770 := (iff #2963 #12767)
+#12771 := [rewrite]: #12770
+#12764 := (iff #2962 #12765)
+#12766 := [rewrite]: #12764
+#12819 := [monotonicity #12766 #12771]: #12818
+#12822 := [monotonicity #12819 #12816]: #12821
+#12827 := [trans #12822 #12825]: #12826
+#12830 := [monotonicity #12827]: #12829
+#13517 := [monotonicity #12830 #13514]: #13516
+#13520 := [monotonicity #13517]: #13519
+#12721 := (iff #3325 #12720)
+#12718 := (iff #3324 #12715)
+#12711 := (implies #11964 #12708)
+#12716 := (iff #12711 #12715)
+#12717 := [rewrite]: #12716
+#12712 := (iff #3324 #12711)
+#12709 := (iff #3323 #12708)
+#12706 := (iff #3322 #12703)
+#12699 := (implies #11967 #12696)
+#12704 := (iff #12699 #12703)
+#12705 := [rewrite]: #12704
+#12700 := (iff #3322 #12699)
+#12697 := (iff #3321 #12696)
+#12694 := (iff #3320 #12691)
+#12687 := (implies #11976 #12684)
+#12692 := (iff #12687 #12691)
+#12693 := [rewrite]: #12692
+#12688 := (iff #3320 #12687)
+#12685 := (iff #3319 #12684)
+#12682 := (iff #3318 #12679)
+#12675 := (implies #12005 #12672)
+#12680 := (iff #12675 #12679)
+#12681 := [rewrite]: #12680
+#12676 := (iff #3318 #12675)
+#12673 := (iff #3317 #12672)
+#12670 := (iff #3316 #12667)
+#12663 := (implies #3069 #12660)
+#12668 := (iff #12663 #12667)
+#12669 := [rewrite]: #12668
+#12664 := (iff #3316 #12663)
+#12661 := (iff #3315 #12660)
+#12658 := (iff #3314 #12655)
+#12651 := (implies #12012 #12648)
+#12656 := (iff #12651 #12655)
+#12657 := [rewrite]: #12656
+#12652 := (iff #3314 #12651)
+#12649 := (iff #3313 #12648)
+#12646 := (iff #3312 #12643)
+#12639 := (implies #12062 #12627)
+#12644 := (iff #12639 #12643)
+#12645 := [rewrite]: #12644
+#12640 := (iff #3312 #12639)
+#12637 := (iff #3311 #12627)
+#12632 := (and true #12627)
+#12635 := (iff #12632 #12627)
+#12636 := [rewrite]: #12635
+#12633 := (iff #3311 #12632)
+#12630 := (iff #3310 #12627)
+#12623 := (implies #12337 #12620)
+#12628 := (iff #12623 #12627)
+#12629 := [rewrite]: #12628
+#12624 := (iff #3310 #12623)
+#12621 := (iff #3309 #12620)
+#12618 := (iff #3308 #12615)
+#12611 := (implies #12608 #12174)
+#12616 := (iff #12611 #12615)
+#12617 := [rewrite]: #12616
+#12612 := (iff #3308 #12611)
+#12175 := (iff #3150 #12174)
+#12172 := (iff #3149 #12169)
+#12165 := (implies #12143 #12162)
+#12170 := (iff #12165 #12169)
+#12171 := [rewrite]: #12170
+#12166 := (iff #3149 #12165)
+#12163 := (iff #3148 #12162)
+#12160 := (iff #3147 #12157)
+#12153 := (implies #12150 #3146)
+#12158 := (iff #12153 #12157)
+#12159 := [rewrite]: #12158
+#12154 := (iff #3147 #12153)
+#12151 := (iff #3141 #12150)
+#12148 := (iff #3140 #12147)
+#12149 := [rewrite]: #12148
+#12152 := [quant-intro #12149]: #12151
+#12155 := [monotonicity #12152]: #12154
+#12161 := [trans #12155 #12159]: #12160
+#12164 := [monotonicity #12152 #12161]: #12163
+#12144 := (iff #3136 #12143)
+#12141 := (iff #3135 #12140)
+#12138 := (iff #3134 #12137)
+#12135 := (iff #3133 #12134)
+#12132 := (iff #3132 #12131)
+#12129 := (iff #3131 #12128)
+#12126 := (iff #3130 #12125)
+#12123 := (iff #3129 #12122)
+#12124 := [rewrite]: #12123
+#12120 := (iff #3127 #12119)
+#12121 := [rewrite]: #12120
+#12127 := [monotonicity #12121 #12124]: #12126
+#12117 := (iff #3125 #12116)
+#12118 := [rewrite]: #12117
+#12130 := [monotonicity #12118 #12127]: #12129
+#12114 := (iff #3123 #12113)
+#12115 := [rewrite]: #12114
+#12133 := [monotonicity #12115 #12130]: #12132
+#12021 := (iff #3092 #12020)
+#12022 := [rewrite]: #12021
+#12136 := [monotonicity #12022 #12133]: #12135
+#12139 := [monotonicity #12022 #12136]: #12138
+#12142 := [monotonicity #12022 #12139]: #12141
+#12145 := [monotonicity #12142]: #12144
+#12167 := [monotonicity #12145 #12164]: #12166
+#12173 := [trans #12167 #12171]: #12172
+#12176 := [monotonicity #12173]: #12175
+#12609 := (iff #3307 #12608)
+#12606 := (iff #3306 #12605)
+#12603 := (iff #3305 #12020)
+#12078 := (and #12020 #12020)
+#12081 := (iff #12078 #12020)
+#12082 := [rewrite]: #12081
+#12601 := (iff #3305 #12078)
+#12599 := (iff #3304 #12020)
+#12597 := (iff #3304 #12078)
+#12083 := (iff #3116 #12020)
+#12079 := (iff #3116 #12078)
+#12080 := [monotonicity #12022 #12022]: #12079
+#12084 := [trans #12080 #12082]: #12083
+#12598 := [monotonicity #12022 #12084]: #12597
+#12600 := [trans #12598 #12082]: #12599
+#12602 := [monotonicity #12022 #12600]: #12601
+#12604 := [trans #12602 #12082]: #12603
+#12607 := [monotonicity #12604]: #12606
+#12610 := [monotonicity #12022 #12607]: #12609
+#12613 := [monotonicity #12610 #12176]: #12612
+#12619 := [trans #12613 #12617]: #12618
+#12595 := (iff #3302 #12592)
+#12588 := (implies #12343 #12585)
+#12593 := (iff #12588 #12592)
+#12594 := [rewrite]: #12593
+#12589 := (iff #3302 #12588)
+#12586 := (iff #3301 #12585)
+#12583 := (iff #3300 #12580)
+#12577 := (implies #12352 #12574)
+#12581 := (iff #12577 #12580)
+#12582 := [rewrite]: #12581
+#12578 := (iff #3300 #12577)
+#12575 := (iff #3299 #12574)
+#12572 := (iff #3298 #12569)
+#12565 := (implies #12364 #12562)
+#12570 := (iff #12565 #12569)
+#12571 := [rewrite]: #12570
+#12566 := (iff #3298 #12565)
+#12563 := (iff #3297 #12562)
+#12560 := (iff #3296 #12557)
+#12553 := (implies #12550 #12485)
+#12558 := (iff #12553 #12557)
+#12559 := [rewrite]: #12558
+#12554 := (iff #3296 #12553)
+#12486 := (iff #3280 #12485)
+#12483 := (iff #3279 #12480)
+#12476 := (implies #12436 #12473)
+#12481 := (iff #12476 #12480)
+#12482 := [rewrite]: #12481
+#12477 := (iff #3279 #12476)
+#12474 := (iff #3278 #12473)
+#12471 := (iff #3277 #12468)
+#12464 := (implies #3264 #12461)
+#12469 := (iff #12464 #12468)
+#12470 := [rewrite]: #12469
+#12465 := (iff #3277 #12464)
+#12462 := (iff #3276 #12461)
+#12459 := (iff #3275 #12456)
+#12452 := (implies #12443 #12449)
+#12457 := (iff #12452 #12456)
+#12458 := [rewrite]: #12457
+#12453 := (iff #3275 #12452)
+#12450 := (iff #3274 #12449)
+#12447 := (iff #3273 #12446)
+#12448 := [rewrite]: #12447
+#12451 := [monotonicity #12448]: #12450
+#12444 := (iff #3269 #12443)
+#12441 := (iff #3268 #12440)
+#12442 := [rewrite]: #12441
+#12445 := [quant-intro #12442]: #12444
+#12454 := [monotonicity #12445 #12451]: #12453
+#12460 := [trans #12454 #12458]: #12459
+#12463 := [monotonicity #12445 #12460]: #12462
+#12466 := [monotonicity #12463]: #12465
+#12472 := [trans #12466 #12470]: #12471
+#12475 := [monotonicity #12472]: #12474
+#12437 := (iff #3263 #12436)
+#12434 := (iff #3262 #12433)
+#12431 := (iff #3261 #12430)
+#12428 := (iff #3260 #12427)
+#12429 := [rewrite]: #12428
+#12432 := [monotonicity #12429]: #12431
+#12425 := (iff #3257 #12424)
+#12413 := (= #3252 #12412)
+#12414 := [rewrite]: #12413
+#12426 := [monotonicity #12414]: #12425
+#12435 := [monotonicity #12426 #12432]: #12434
+#12422 := (iff #3255 #12421)
+#12419 := (iff #3254 #12418)
+#12420 := [monotonicity #12414]: #12419
+#12416 := (iff #3253 #12415)
+#12417 := [monotonicity #12414]: #12416
+#12423 := [monotonicity #12417 #12420]: #12422
+#12438 := [monotonicity #12423 #12435]: #12437
+#12478 := [monotonicity #12438 #12475]: #12477
+#12484 := [trans #12478 #12482]: #12483
+#12487 := [monotonicity #12423 #12484]: #12486
+#12551 := (iff #3295 #12550)
+#12548 := (iff #3294 #12547)
+#12545 := (iff #3293 #12544)
+#12542 := (iff #3292 #12541)
+#12539 := (iff #3291 #12538)
+#12536 := (iff #3290 #12535)
+#12533 := (iff #3289 #12530)
+#12527 := (and #12524 #3244)
+#12531 := (iff #12527 #12530)
+#12532 := [rewrite]: #12531
+#12528 := (iff #3289 #12527)
+#12525 := (iff #3288 #12524)
+#12526 := [rewrite]: #12525
+#12529 := [monotonicity #12526]: #12528
+#12534 := [trans #12529 #12532]: #12533
+#12522 := (iff #3287 #12521)
+#12523 := [rewrite]: #12522
+#12537 := [monotonicity #12523 #12534]: #12536
+#12540 := [monotonicity #12022 #12537]: #12539
+#12543 := [monotonicity #12022 #12540]: #12542
+#12546 := [monotonicity #12022 #12543]: #12545
+#12549 := [monotonicity #12546]: #12548
+#12552 := [monotonicity #12022 #12549]: #12551
+#12555 := [monotonicity #12552 #12487]: #12554
+#12561 := [trans #12555 #12559]: #12560
+#12519 := (iff #3285 #12516)
+#12512 := (implies #12372 #12509)
+#12517 := (iff #12512 #12516)
+#12518 := [rewrite]: #12517
+#12513 := (iff #3285 #12512)
+#12510 := (iff #3284 #12509)
+#12507 := (iff #3283 #12504)
+#12500 := (implies #12352 #12497)
+#12505 := (iff #12500 #12504)
+#12506 := [rewrite]: #12505
+#12501 := (iff #3283 #12500)
+#12498 := (iff #3282 #12497)
+#12495 := (iff #3281 #12492)
+#12488 := (implies #12409 #12485)
+#12493 := (iff #12488 #12492)
+#12494 := [rewrite]: #12493
+#12489 := (iff #3281 #12488)
+#12410 := (iff #3251 #12409)
+#12407 := (iff #3250 #12406)
+#12404 := (iff #3249 #12403)
+#12401 := (iff #3248 #12400)
+#12398 := (iff #3247 #12397)
+#12395 := (iff #3246 #12394)
+#12392 := (iff #3245 #12389)
+#12386 := (and #12383 #3244)
+#12390 := (iff #12386 #12389)
+#12391 := [rewrite]: #12390
+#12387 := (iff #3245 #12386)
+#12384 := (iff #3242 #12383)
+#12385 := [rewrite]: #12384
+#12388 := [monotonicity #12385]: #12387
+#12393 := [trans #12388 #12391]: #12392
+#12381 := (iff #3240 #12380)
+#12382 := [rewrite]: #12381
+#12396 := [monotonicity #12382 #12393]: #12395
+#12378 := (iff #3238 #3091)
+#12379 := [rewrite]: #12378
+#12399 := [monotonicity #12379 #12396]: #12398
+#12402 := [monotonicity #12399]: #12401
+#12405 := [monotonicity #12402]: #12404
+#12376 := (iff #3235 #12375)
+#12377 := [rewrite]: #12376
+#12408 := [monotonicity #12377 #12405]: #12407
+#12359 := (iff #3228 #12358)
+#12356 := (iff #3227 #12355)
+#12357 := [rewrite]: #12356
+#12347 := (iff #3222 #12346)
+#12348 := [rewrite]: #12347
+#12360 := [monotonicity #12348 #12357]: #12359
+#12411 := [monotonicity #12360 #12408]: #12410
+#12490 := [monotonicity #12411 #12487]: #12489
+#12496 := [trans #12490 #12494]: #12495
+#12499 := [monotonicity #12360 #12496]: #12498
+#12353 := (iff #3225 #12352)
+#12350 := (iff #3224 #12349)
+#12351 := [rewrite]: #12350
+#12354 := [monotonicity #12348 #12351]: #12353
+#12502 := [monotonicity #12354 #12499]: #12501
+#12508 := [trans #12502 #12506]: #12507
+#12511 := [monotonicity #12354 #12508]: #12510
+#12373 := (iff #3233 #12372)
+#12370 := (iff #3232 #12369)
+#12371 := [monotonicity #12084]: #12370
+#12374 := [monotonicity #12022 #12371]: #12373
+#12514 := [monotonicity #12374 #12511]: #12513
+#12520 := [trans #12514 #12518]: #12519
+#12564 := [monotonicity #12520 #12561]: #12563
+#12367 := (iff #3229 #12364)
+#12361 := (and #12358 #12020)
+#12365 := (iff #12361 #12364)
+#12366 := [rewrite]: #12365
+#12362 := (iff #3229 #12361)
+#12363 := [monotonicity #12360 #12022]: #12362
+#12368 := [trans #12363 #12366]: #12367
+#12567 := [monotonicity #12368 #12564]: #12566
+#12573 := [trans #12567 #12571]: #12572
+#12576 := [monotonicity #12360 #12573]: #12575
+#12579 := [monotonicity #12354 #12576]: #12578
+#12584 := [trans #12579 #12582]: #12583
+#12587 := [monotonicity #12354 #12584]: #12586
+#12344 := (iff #3219 #12343)
+#12341 := (iff #3218 #12340)
+#12342 := [monotonicity #12084]: #12341
+#12345 := [monotonicity #12022 #12342]: #12344
+#12590 := [monotonicity #12345 #12587]: #12589
+#12596 := [trans #12590 #12594]: #12595
+#12622 := [monotonicity #12596 #12619]: #12621
+#12338 := (iff #3216 #12337)
+#12335 := (iff #3215 #12334)
+#12332 := (iff #3214 #12331)
+#12329 := (iff #3213 #12328)
+#12326 := (iff #3212 #12325)
+#12323 := (iff #3211 #12322)
+#12320 := (iff #3210 #12319)
+#12317 := (iff #3209 #12316)
+#12314 := (iff #3208 #12313)
+#12311 := (iff #3207 #12310)
+#12308 := (iff #3206 #12307)
+#12305 := (iff #3205 #12020)
+#12300 := (and true #12020)
+#12303 := (iff #12300 #12020)
+#12304 := [rewrite]: #12303
+#12301 := (iff #3205 #12300)
+#12298 := (iff #3204 true)
+#12296 := (iff #12293 true)
+#12297 := [rewrite]: #12296
+#12294 := (iff #3204 #12293)
+#12291 := (iff #3203 true)
+#12292 := [rewrite]: #12291
+#12289 := (iff #3202 true)
+#12290 := [rewrite]: #12289
+#12295 := [monotonicity #12290 #12292]: #12294
+#12299 := [trans #12295 #12297]: #12298
+#12302 := [monotonicity #12299 #12022]: #12301
+#12306 := [trans #12302 #12304]: #12305
+#12309 := [monotonicity #12306]: #12308
+#12312 := [monotonicity #12309]: #12311
+#12315 := [monotonicity #12312]: #12314
+#12318 := [monotonicity #12315]: #12317
+#12321 := [monotonicity #12318]: #12320
+#12076 := (iff #3115 #12073)
+#12070 := (and #12067 #11903)
+#12074 := (iff #12070 #12073)
+#12075 := [rewrite]: #12074
+#12071 := (iff #3115 #12070)
+#11904 := (iff #3005 #11903)
+#11905 := [rewrite]: #11904
+#12068 := (iff #3114 #12067)
+#12069 := [rewrite]: #12068
+#12072 := [monotonicity #12069 #11905]: #12071
+#12077 := [trans #12072 #12075]: #12076
+#12324 := [monotonicity #12077 #12321]: #12323
+#12268 := (iff #3190 #12267)
+#12265 := (iff #3189 #12264)
+#12262 := (iff #3188 #12261)
+#12263 := [rewrite]: #12262
+#12266 := [monotonicity #12263]: #12265
+#12269 := [monotonicity #12266]: #12268
+#12327 := [monotonicity #12269 #12324]: #12326
+#12287 := (iff #3194 #12267)
+#12270 := (and true #12267)
+#12273 := (iff #12270 #12267)
+#12274 := [rewrite]: #12273
+#12285 := (iff #3194 #12270)
+#12283 := (iff #3193 #12267)
+#12281 := (iff #3193 #12270)
+#12279 := (iff #3192 #12267)
+#12277 := (iff #3192 #12270)
+#12275 := (iff #3191 #12267)
+#12271 := (iff #3191 #12270)
+#12259 := (iff #3181 true)
+#12254 := (forall (vars (?x782 T5)) (:pat #3177) true)
+#12257 := (iff #12254 true)
+#12258 := [elim-unused]: #12257
+#12255 := (iff #3181 #12254)
+#12252 := (iff #3180 true)
+#12204 := (= uf_9 #3165)
+#12216 := (implies #12204 #12204)
+#12219 := (iff #12216 true)
+#12220 := [rewrite]: #12219
+#12250 := (iff #3180 #12216)
+#12248 := (iff #3179 #12204)
+#12209 := (and true #12204)
+#12212 := (iff #12209 #12204)
+#12213 := [rewrite]: #12212
+#12246 := (iff #3179 #12209)
+#12205 := (iff #3166 #12204)
+#12206 := [rewrite]: #12205
+#12244 := (iff #3178 true)
+#12245 := [rewrite]: #12244
+#12247 := [monotonicity #12245 #12206]: #12246
+#12249 := [trans #12247 #12213]: #12248
+#12251 := [monotonicity #12206 #12249]: #12250
+#12253 := [trans #12251 #12220]: #12252
+#12256 := [quant-intro #12253]: #12255
+#12260 := [trans #12256 #12258]: #12259
+#12272 := [monotonicity #12260 #12269]: #12271
+#12276 := [trans #12272 #12274]: #12275
+#12242 := (iff #3174 true)
+#12197 := (forall (vars (?x779 T5)) (:pat #3154) true)
+#12200 := (iff #12197 true)
+#12201 := [elim-unused]: #12200
+#12240 := (iff #3174 #12197)
+#12238 := (iff #3173 true)
+#12236 := (iff #3173 #12216)
+#12234 := (iff #3172 #12204)
+#12232 := (iff #3172 #12209)
+#12230 := (iff #3171 true)
+#12231 := [rewrite]: #12230
+#12233 := [monotonicity #12231 #12206]: #12232
+#12235 := [trans #12233 #12213]: #12234
+#12237 := [monotonicity #12206 #12235]: #12236
+#12239 := [trans #12237 #12220]: #12238
+#12241 := [quant-intro #12239]: #12240
+#12243 := [trans #12241 #12201]: #12242
+#12278 := [monotonicity #12243 #12276]: #12277
+#12280 := [trans #12278 #12274]: #12279
+#12228 := (iff #3170 true)
+#12223 := (forall (vars (?x780 T5)) (:pat #3164) true)
+#12226 := (iff #12223 true)
+#12227 := [elim-unused]: #12226
+#12224 := (iff #3170 #12223)
+#12221 := (iff #3169 true)
+#12217 := (iff #3169 #12216)
+#12214 := (iff #3168 #12204)
+#12210 := (iff #3168 #12209)
+#12207 := (iff #3167 true)
+#12208 := [rewrite]: #12207
+#12211 := [monotonicity #12208 #12206]: #12210
+#12215 := [trans #12211 #12213]: #12214
+#12218 := [monotonicity #12206 #12215]: #12217
+#12222 := [trans #12218 #12220]: #12221
+#12225 := [quant-intro #12222]: #12224
+#12229 := [trans #12225 #12227]: #12228
+#12282 := [monotonicity #12229 #12280]: #12281
+#12284 := [trans #12282 #12274]: #12283
+#12202 := (iff #3161 true)
+#12198 := (iff #3161 #12197)
+#12195 := (iff #3160 true)
+#12184 := (= uf_261 #3157)
+#12187 := (not #12184)
+#12190 := (implies #12187 #12187)
+#12193 := (iff #12190 true)
+#12194 := [rewrite]: #12193
+#12191 := (iff #3160 #12190)
+#12188 := (iff #3159 #12187)
+#12185 := (iff #3158 #12184)
+#12186 := [rewrite]: #12185
+#12189 := [monotonicity #12186]: #12188
+#12192 := [monotonicity #12189 #12189]: #12191
+#12196 := [trans #12192 #12194]: #12195
+#12199 := [quant-intro #12196]: #12198
+#12203 := [trans #12199 #12201]: #12202
+#12286 := [monotonicity #12203 #12284]: #12285
+#12288 := [trans #12286 #12274]: #12287
+#12330 := [monotonicity #12288 #12327]: #12329
+#12333 := [monotonicity #12022 #12330]: #12332
+#12336 := [monotonicity #12022 #12333]: #12335
+#12339 := [monotonicity #12022 #12336]: #12338
+#12625 := [monotonicity #12339 #12622]: #12624
+#12631 := [trans #12625 #12629]: #12630
+#12182 := (iff #3151 true)
+#12177 := (implies false #12174)
+#12180 := (iff #12177 true)
+#12181 := [rewrite]: #12180
+#12178 := (iff #3151 #12177)
+#12111 := (iff #3121 false)
+#12106 := (and #12020 false)
+#12109 := (iff #12106 false)
+#12110 := [rewrite]: #12109
+#12107 := (iff #3121 #12106)
+#12104 := (iff #3120 false)
+#12088 := (and #12020 #12073)
+#12093 := (and #12020 #12088)
+#12096 := (and #12020 #12093)
+#12099 := (and false #12096)
+#12102 := (iff #12099 false)
+#12103 := [rewrite]: #12102
+#12100 := (iff #3120 #12099)
+#12097 := (iff #3119 #12096)
+#12094 := (iff #3118 #12093)
+#12091 := (iff #3117 #12088)
+#12085 := (and #12073 #12020)
+#12089 := (iff #12085 #12088)
+#12090 := [rewrite]: #12089
+#12086 := (iff #3117 #12085)
+#12087 := [monotonicity #12077 #12084]: #12086
+#12092 := [trans #12087 #12090]: #12091
+#12095 := [monotonicity #12022 #12092]: #12094
+#12098 := [monotonicity #12022 #12095]: #12097
+#12065 := (iff #3112 false)
+#12066 := [rewrite]: #12065
+#12101 := [monotonicity #12066 #12098]: #12100
+#12105 := [trans #12101 #12103]: #12104
+#12108 := [monotonicity #12022 #12105]: #12107
+#12112 := [trans #12108 #12110]: #12111
+#12179 := [monotonicity #12112 #12176]: #12178
+#12183 := [trans #12179 #12181]: #12182
+#12634 := [monotonicity #12183 #12631]: #12633
+#12638 := [trans #12634 #12636]: #12637
+#12063 := (iff #3111 #12062)
+#12060 := (iff #3110 #12059)
+#12057 := (iff #3109 #12056)
+#12054 := (iff #3108 #12053)
+#12051 := (iff #3107 #12050)
+#12048 := (iff #3106 #12047)
+#12045 := (iff #3105 #12044)
+#12042 := (iff #3104 #12039)
+#12036 := (and #12033 #12020)
+#12040 := (iff #12036 #12039)
+#12041 := [rewrite]: #12040
+#12037 := (iff #3104 #12036)
+#12034 := (iff #3103 #12033)
+#12031 := (iff #3102 #12030)
+#12032 := [rewrite]: #12031
+#12035 := [monotonicity #12032]: #12034
+#12038 := [monotonicity #12035 #12022]: #12037
+#12043 := [trans #12038 #12041]: #12042
+#12028 := (iff #3098 #12027)
+#12025 := (iff #3097 #12024)
+#12026 := [rewrite]: #12025
+#12029 := [quant-intro #12026]: #12028
+#12046 := [monotonicity #12029 #12043]: #12045
+#12049 := [monotonicity #12046]: #12048
+#12052 := [monotonicity #12022 #12049]: #12051
+#12055 := [monotonicity #12052]: #12054
+#12058 := [monotonicity #12055]: #12057
+#12061 := [monotonicity #12058]: #12060
+#12018 := (iff #3078 #12017)
+#12015 := (iff #3077 #3055)
+#12016 := [rewrite]: #12015
+#12019 := [monotonicity #12016]: #12018
+#12064 := [monotonicity #12019 #12061]: #12063
+#12641 := [monotonicity #12064 #12638]: #12640
+#12647 := [trans #12641 #12645]: #12646
+#12650 := [monotonicity #12019 #12647]: #12649
+#12013 := (iff #3076 #12012)
+#12010 := (iff #3075 #12009)
+#12011 := [rewrite]: #12010
+#12014 := [quant-intro #12011]: #12013
+#12653 := [monotonicity #12014 #12650]: #12652
+#12659 := [trans #12653 #12657]: #12658
+#12662 := [monotonicity #12014 #12659]: #12661
+#12665 := [monotonicity #12662]: #12664
+#12671 := [trans #12665 #12669]: #12670
+#12674 := [monotonicity #12671]: #12673
+#12006 := (iff #3068 #12005)
+#12003 := (iff #3067 #12002)
+#12000 := (iff #3066 #11999)
+#11997 := (iff #3065 #11996)
+#11994 := (iff #3064 #11993)
+#11991 := (iff #3063 #11990)
+#11988 := (iff #3062 #11987)
+#11985 := (iff #3061 #3060)
+#11986 := [rewrite]: #11985
+#11989 := [monotonicity #11986]: #11988
+#11992 := [monotonicity #11989]: #11991
+#11995 := [monotonicity #11992]: #11994
+#11998 := [monotonicity #11995]: #11997
+#12001 := [monotonicity #11998]: #12000
+#12004 := [monotonicity #12001]: #12003
+#11983 := (iff #3052 #11982)
+#11980 := (iff #3051 #11979)
+#11981 := [rewrite]: #11980
+#11971 := (iff #3046 #11970)
+#11972 := [rewrite]: #11971
+#11984 := [monotonicity #11972 #11981]: #11983
+#12007 := [monotonicity #11984 #12004]: #12006
+#12677 := [monotonicity #12007 #12674]: #12676
+#12683 := [trans #12677 #12681]: #12682
+#12686 := [monotonicity #11984 #12683]: #12685
+#11977 := (iff #3049 #11976)
+#11974 := (iff #3048 #11973)
+#11975 := [rewrite]: #11974
+#11978 := [monotonicity #11972 #11975]: #11977
+#12689 := [monotonicity #11978 #12686]: #12688
+#12695 := [trans #12689 #12693]: #12694
+#12698 := [monotonicity #11978 #12695]: #12697
+#11968 := (iff #3043 #11967)
+#11969 := [rewrite]: #11968
+#12701 := [monotonicity #11969 #12698]: #12700
+#12707 := [trans #12701 #12705]: #12706
+#12710 := [monotonicity #11969 #12707]: #12709
+#11965 := (iff #3041 #11964)
+#11962 := (iff #3040 #11961)
+#11959 := (iff #3039 #11958)
+#11956 := (iff #3038 #11955)
+#11953 := (iff #3037 #11952)
+#11950 := (iff #3036 #11949)
+#11947 := (iff #3035 #11946)
+#11944 := (iff #3034 #11943)
+#11941 := (iff #3033 #11940)
+#11938 := (iff #3032 #11937)
+#11935 := (iff #3031 #11934)
+#11932 := (iff #3030 #11931)
+#11929 := (iff #3029 #11926)
+#11923 := (and #11920 #3028)
+#11927 := (iff #11923 #11926)
+#11928 := [rewrite]: #11927
+#11924 := (iff #3029 #11923)
+#11921 := (iff #3025 #11920)
+#11918 := (iff #3024 #11915)
+#11912 := (iff #11909 false)
+#11916 := (iff #11912 #11915)
+#11917 := [rewrite]: #11916
+#11913 := (iff #3024 #11912)
+#11910 := (iff #3023 #11909)
+#11911 := [rewrite]: #11910
+#11914 := [monotonicity #11911]: #11913
+#11919 := [trans #11914 #11917]: #11918
+#11922 := [quant-intro #11919]: #11921
+#11925 := [monotonicity #11922]: #11924
+#11930 := [trans #11925 #11928]: #11929
+#11933 := [monotonicity #11930]: #11932
+#11936 := [monotonicity #11933]: #11935
+#11939 := [monotonicity #11936]: #11938
+#11942 := [monotonicity #11939]: #11941
+#11907 := (iff #3006 #11906)
+#11901 := (iff #3003 #11900)
+#11902 := [rewrite]: #11901
+#11908 := [monotonicity #11902 #11905]: #11907
+#11945 := [monotonicity #11908 #11942]: #11944
+#11898 := (iff #3001 #11897)
+#11899 := [rewrite]: #11898
+#11948 := [monotonicity #11899 #11945]: #11947
+#11895 := (iff #2999 #11894)
+#11892 := (iff #2998 #11891)
+#11889 := (iff #2997 #11888)
+#11886 := (iff #2996 #11885)
+#11883 := (iff #2995 #11882)
+#11880 := (iff #2994 #11879)
+#11881 := [rewrite]: #11880
+#11877 := (iff #2992 #11876)
+#11874 := (iff #2991 #11873)
+#11875 := [rewrite]: #11874
+#11878 := [monotonicity #11875]: #11877
+#11884 := [monotonicity #11878 #11881]: #11883
+#11871 := (iff #2989 #11870)
+#11872 := [rewrite]: #11871
+#11887 := [monotonicity #11872 #11884]: #11886
+#11868 := (iff #2987 #11867)
+#11869 := [rewrite]: #11868
+#11890 := [monotonicity #11869 #11887]: #11889
+#11865 := (iff #2985 #11864)
+#11866 := [rewrite]: #11865
+#11893 := [monotonicity #11866 #11890]: #11892
+#11862 := (iff #2983 #11860)
+#11863 := [rewrite]: #11862
+#11896 := [monotonicity #11863 #11893]: #11895
+#11951 := [monotonicity #11896 #11948]: #11950
+#11954 := [monotonicity #11951]: #11953
+#11957 := [monotonicity #11954]: #11956
+#11960 := [monotonicity #11957]: #11959
+#11963 := [monotonicity #11960]: #11962
+#11966 := [monotonicity #11963]: #11965
+#12713 := [monotonicity #11966 #12710]: #12712
+#12719 := [trans #12713 #12717]: #12718
+#12722 := [monotonicity #12719]: #12721
+#13522 := [trans #12722 #13520]: #13521
+#11859 := [asserted]: #3325
+#13523 := [mp #11859 #13522]: #13518
+#13524 := [not-or-elim #13523]: #12823
+#13531 := [and-elim #13524]: #11867
+#11145 := (not #11138)
+#1259 := (uf_116 #15)
+#2669 := (uf_43 #233 #1259)
+#2670 := (= #15 #2669)
+#11146 := (or #2670 #11145)
+#11151 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2667) #11146)
+#17463 := (~ #11151 #11151)
+#17461 := (~ #11146 #11146)
+#17462 := [refl]: #17461
+#17464 := [nnf-pos #17462]: #17463
+#2671 := (implies #2668 #2670)
+#2672 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2667) #2671)
+#11152 := (iff #2672 #11151)
+#11149 := (iff #2671 #11146)
+#11142 := (implies #11138 #2670)
+#11147 := (iff #11142 #11146)
+#11148 := [rewrite]: #11147
+#11143 := (iff #2671 #11142)
+#11144 := [monotonicity #11141]: #11143
+#11150 := [trans #11144 #11148]: #11149
+#11153 := [quant-intro #11150]: #11152
+#11137 := [asserted]: #2672
+#11156 := [mp #11137 #11153]: #11151
+#17465 := [mp~ #11156 #17464]: #11151
+#25398 := (not #11867)
+#25411 := (not #11151)
+#25412 := (or #25411 #25398 #25406)
+#25407 := (or #25406 #25398)
+#25413 := (or #25411 #25407)
+#25420 := (iff #25413 #25412)
+#25408 := (or #25398 #25406)
+#25415 := (or #25411 #25408)
+#25418 := (iff #25415 #25412)
+#25419 := [rewrite]: #25418
+#25416 := (iff #25413 #25415)
+#25409 := (iff #25407 #25408)
+#25410 := [rewrite]: #25409
+#25417 := [monotonicity #25410]: #25416
+#25421 := [trans #25417 #25419]: #25420
+#25414 := [quant-inst]: #25413
+#25422 := [mp #25414 #25421]: #25412
+#27875 := [unit-resolution #25422 #17465 #13531]: #25406
+#27877 := [symm #27875]: #27876
+#26168 := [monotonicity #27877]: #26162
+#26170 := [trans #26168 #27921]: #26169
+#26172 := [monotonicity #26170]: #26171
+#26174 := [monotonicity #26172]: #26195
+#26177 := [symm #26174]: #26176
+#26161 := [monotonicity #26177]: #26179
+#13533 := [and-elim #13524]: #11876
+#26175 := [mp #13533 #26161]: #26178
+decl uf_196 :: (-> T4 T5 T5 T2)
+#25944 := (uf_196 uf_287 #25399 #25399)
+#25945 := (= uf_9 #25944)
+#25966 := (not #25945)
+#25946 := (uf_200 uf_287 #25399 #25399 uf_282)
+#25947 := (= uf_9 #25946)
+#25949 := (iff #25945 #25947)
+#2245 := (:var 0 T16)
+#13 := (:var 3 T4)
+#2256 := (uf_200 #13 #21 #15 #2245)
+#2257 := (pattern #2256)
+#2259 := (uf_196 #13 #21 #15)
+#10101 := (= uf_9 #2259)
+#10097 := (= uf_9 #2256)
+#10104 := (iff #10097 #10101)
+#10107 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2257) #10104)
+#17105 := (~ #10107 #10107)
+#17103 := (~ #10104 #10104)
+#17104 := [refl]: #17103
+#17106 := [nnf-pos #17104]: #17105
+#2260 := (= #2259 uf_9)
+#2258 := (= #2256 uf_9)
+#2261 := (iff #2258 #2260)
+#2262 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2257) #2261)
+#10108 := (iff #2262 #10107)
+#10105 := (iff #2261 #10104)
+#10102 := (iff #2260 #10101)
+#10103 := [rewrite]: #10102
+#10099 := (iff #2258 #10097)
+#10100 := [rewrite]: #10099
+#10106 := [monotonicity #10100 #10103]: #10105
+#10109 := [quant-intro #10106]: #10108
+#10096 := [asserted]: #2262
+#10112 := [mp #10096 #10109]: #10107
+#17107 := [mp~ #10112 #17106]: #10107
+#25955 := (not #10107)
+#25953 := (or #25955 #25949)
+#25948 := (iff #25947 #25945)
+#25956 := (or #25955 #25948)
+#25958 := (iff #25956 #25953)
+#25960 := (iff #25953 #25953)
+#25961 := [rewrite]: #25960
+#25950 := (iff #25948 #25949)
+#25951 := [rewrite]: #25950
+#25959 := [monotonicity #25951]: #25958
+#25978 := [trans #25959 #25961]: #25958
+#25957 := [quant-inst]: #25956
+#25964 := [mp #25957 #25978]: #25953
+#26163 := [unit-resolution #25964 #17107]: #25949
+#25963 := (not #25947)
+#26189 := (iff #12702 #25963)
+#26188 := (iff #11967 #25947)
+#26167 := (iff #25947 #11967)
+#26165 := (= #25946 #3042)
+#26166 := [monotonicity #27877 #27877]: #26165
+#26187 := [monotonicity #26166]: #26167
+#26186 := [symm #26187]: #26188
+#26190 := [monotonicity #26186]: #26189
+#26164 := [hypothesis]: #12702
+#26191 := [mp #26164 #26190]: #25963
+#25967 := (not #25949)
+#25969 := (or #25967 #25966 #25947)
+#25970 := [def-axiom]: #25969
+#26192 := [unit-resolution #25970 #26191 #26163]: #25966
+#26048 := (uf_24 uf_287 #25399)
+#26049 := (= uf_9 #26048)
+#26196 := (= #2988 #26048)
+#26193 := (= #26048 #2988)
+#26194 := [monotonicity #27877]: #26193
+#26198 := [symm #26194]: #26196
+#13532 := [and-elim #13524]: #11870
+#26199 := [trans #13532 #26198]: #26049
+#26051 := (uf_48 #25399 #25810)
+#26052 := (= uf_9 #26051)
+#26202 := (= #2986 #26051)
+#26197 := (= #26051 #2986)
+#26200 := [monotonicity #27877 #26170]: #26197
+#26203 := [symm #26200]: #26202
+#26204 := [trans #13531 #26203]: #26052
+#26053 := (not #26052)
+#26050 := (not #26049)
+#26225 := (or #25945 #26050 #26053 #26059)
+#25822 := (uf_25 uf_287 #25399)
+#26054 := (= uf_26 #25822)
+#26213 := (= #2984 #25822)
+#26185 := (= #25822 #2984)
+#26211 := [monotonicity #27877]: #26185
+#26212 := [symm #26211]: #26213
+#13530 := [and-elim #13524]: #11864
+#26214 := [trans #13530 #26212]: #26054
+#25848 := (uf_27 uf_287 #25399)
+#25849 := (= uf_9 #25848)
+#26218 := (= #2982 #25848)
+#26215 := (= #25848 #2982)
+#26216 := [monotonicity #27877]: #26215
+#26224 := [symm #26216]: #26218
+#13529 := [and-elim #13524]: #11860
+#26246 := [trans #13529 #26224]: #25849
+#25811 := (uf_23 #25810)
+#25818 := (= uf_9 #25811)
+#26250 := (= #2993 #25811)
+#26247 := (= #25811 #2993)
+#26248 := [monotonicity #26170]: #26247
+#26251 := [symm #26248]: #26250
+#13534 := [and-elim #13524]: #11879
+#26252 := [trans #13534 #26251]: #25818
+#13537 := [and-elim #13524]: #11903
 #47 := (:var 1 T4)
+#2217 := (uf_196 #47 #23 #23)
+#2218 := (pattern #2217)
+#9982 := (= uf_9 #2217)
+#227 := (uf_55 #47)
+#3897 := (= uf_9 #227)
+#18563 := (not #3897)
+#146 := (uf_24 #47 #23)
+#3621 := (= uf_9 #146)
+#11066 := (not #3621)
+#26 := (uf_13 #23)
+#144 := (uf_48 #23 #26)
+#3618 := (= uf_9 #144)
+#18438 := (not #3618)
+#142 := (uf_25 #47 #23)
+#3615 := (= uf_26 #142)
+#18437 := (not #3615)
+#135 := (uf_27 #47 #23)
+#3600 := (= uf_9 #135)
+#10691 := (not #3600)
+#71 := (uf_23 #26)
+#3453 := (= uf_9 #71)
+#10746 := (not #3453)
+#27 := (uf_12 #26)
+#29 := (= #27 uf_14)
+#20996 := (or #29 #10746 #10691 #18437 #18438 #11066 #18563 #9982)
+#21001 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #20996)
+#52 := (not #29)
+#9997 := (and #52 #3453 #3600 #3615 #3618 #3621 #3897)
+#10000 := (not #9997)
+#10006 := (or #9982 #10000)
+#10011 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #10006)
+#21002 := (iff #10011 #21001)
+#20999 := (iff #10006 #20996)
+#20982 := (or #29 #10746 #10691 #18437 #18438 #11066 #18563)
+#20993 := (or #9982 #20982)
+#20997 := (iff #20993 #20996)
+#20998 := [rewrite]: #20997
+#20994 := (iff #10006 #20993)
+#20991 := (iff #10000 #20982)
+#20983 := (not #20982)
+#20986 := (not #20983)
+#20989 := (iff #20986 #20982)
+#20990 := [rewrite]: #20989
+#20987 := (iff #10000 #20986)
+#20984 := (iff #9997 #20983)
+#20985 := [rewrite]: #20984
+#20988 := [monotonicity #20985]: #20987
+#20992 := [trans #20988 #20990]: #20991
+#20995 := [monotonicity #20992]: #20994
+#21000 := [trans #20995 #20998]: #20999
+#21003 := [quant-intro #21000]: #21002
+#17073 := (~ #10011 #10011)
+#17071 := (~ #10006 #10006)
+#17072 := [refl]: #17071
+#17074 := [nnf-pos #17072]: #17073
+#2225 := (= #2217 uf_9)
+#72 := (= #71 uf_9)
+#2219 := (and #52 #72)
+#147 := (= #146 uf_9)
+#2220 := (and #147 #2219)
+#145 := (= #144 uf_9)
+#2221 := (and #145 #2220)
+#143 := (= #142 uf_26)
+#2222 := (and #143 #2221)
+#136 := (= #135 uf_9)
+#2223 := (and #136 #2222)
+#229 := (= #227 uf_9)
+#2224 := (and #229 #2223)
+#2226 := (implies #2224 #2225)
+#2227 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #2226)
+#10014 := (iff #2227 #10011)
+#9963 := (and #52 #3453)
+#9967 := (and #3621 #9963)
+#9970 := (and #3618 #9967)
+#9973 := (and #3615 #9970)
+#9976 := (and #3600 #9973)
+#9979 := (and #3897 #9976)
+#9988 := (not #9979)
+#9989 := (or #9988 #9982)
+#9994 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #9989)
+#10012 := (iff #9994 #10011)
+#10009 := (iff #9989 #10006)
+#10003 := (or #10000 #9982)
+#10007 := (iff #10003 #10006)
+#10008 := [rewrite]: #10007
+#10004 := (iff #9989 #10003)
+#10001 := (iff #9988 #10000)
+#9998 := (iff #9979 #9997)
+#9999 := [rewrite]: #9998
+#10002 := [monotonicity #9999]: #10001
+#10005 := [monotonicity #10002]: #10004
+#10010 := [trans #10005 #10008]: #10009
+#10013 := [quant-intro #10010]: #10012
+#9995 := (iff #2227 #9994)
+#9992 := (iff #2226 #9989)
+#9985 := (implies #9979 #9982)
+#9990 := (iff #9985 #9989)
+#9991 := [rewrite]: #9990
+#9986 := (iff #2226 #9985)
+#9983 := (iff #2225 #9982)
+#9984 := [rewrite]: #9983
+#9980 := (iff #2224 #9979)
+#9977 := (iff #2223 #9976)
+#9974 := (iff #2222 #9973)
+#9971 := (iff #2221 #9970)
+#9968 := (iff #2220 #9967)
+#9965 := (iff #2219 #9963)
+#3454 := (iff #72 #3453)
+#3455 := [rewrite]: #3454
+#9966 := [monotonicity #3455]: #9965
+#3622 := (iff #147 #3621)
+#3623 := [rewrite]: #3622
+#9969 := [monotonicity #3623 #9966]: #9968
+#3619 := (iff #145 #3618)
+#3620 := [rewrite]: #3619
+#9972 := [monotonicity #3620 #9969]: #9971
+#3616 := (iff #143 #3615)
+#3617 := [rewrite]: #3616
+#9975 := [monotonicity #3617 #9972]: #9974
+#3602 := (iff #136 #3600)
+#3603 := [rewrite]: #3602
+#9978 := [monotonicity #3603 #9975]: #9977
+#3899 := (iff #229 #3897)
+#3900 := [rewrite]: #3899
+#9981 := [monotonicity #3900 #9978]: #9980
+#9987 := [monotonicity #9981 #9984]: #9986
+#9993 := [trans #9987 #9991]: #9992
+#9996 := [quant-intro #9993]: #9995
+#10015 := [trans #9996 #10013]: #10014
+#9962 := [asserted]: #2227
+#10016 := [mp #9962 #10015]: #10011
+#17075 := [mp~ #10016 #17074]: #10011
+#21004 := [mp #17075 #21003]: #21001
+#26055 := (not #26054)
+#25875 := (not #25849)
+#25819 := (not #25818)
+#23948 := (not #11903)
+#26041 := (not #21001)
+#26043 := (or #26041 #23948 #25819 #25875 #25945 #26050 #26053 #26055 #26059)
+#26057 := (= #26056 uf_14)
+#26058 := (or #26057 #25819 #25875 #26055 #26053 #26050 #23948 #25945)
+#26044 := (or #26041 #26058)
+#26031 := (iff #26044 #26043)
+#26065 := (or #23948 #25819 #25875 #25945 #26050 #26053 #26055 #26059)
+#26046 := (or #26041 #26065)
+#26028 := (iff #26046 #26043)
+#26030 := [rewrite]: #26028
+#26047 := (iff #26044 #26046)
+#26068 := (iff #26058 #26065)
+#26062 := (or #26059 #25819 #25875 #26055 #26053 #26050 #23948 #25945)
+#26066 := (iff #26062 #26065)
+#26067 := [rewrite]: #26066
+#26063 := (iff #26058 #26062)
+#26060 := (iff #26057 #26059)
+#26061 := [rewrite]: #26060
+#26064 := [monotonicity #26061]: #26063
+#26069 := [trans #26064 #26067]: #26068
+#26042 := [monotonicity #26069]: #26047
+#26032 := [trans #26042 #26030]: #26031
+#26045 := [quant-inst]: #26044
+#26033 := [mp #26045 #26032]: #26043
+#26253 := [unit-resolution #26033 #21004 #13537 #26252 #26246 #26214]: #26225
+#26254 := [unit-resolution #26253 #26204 #26199 #26192 #26175]: false
+#26255 := [lemma #26254]: #11967
+#22707 := (or #12702 #22704)
+#21694 := (forall (vars (?x778 int)) #21683)
+#21701 := (not #21694)
+#21679 := (forall (vars (?x776 int)) #21674)
+#21700 := (not #21679)
+#21702 := (or #21700 #21701)
+#21703 := (not #21702)
+#21732 := (or #21703 #21729)
+#21742 := (not #21732)
+#21743 := (or #21738 #21739 #21740 #21741 #21602 #21575 #12968 #21742)
+#21744 := (not #21743)
+#21497 := (forall (vars (?x785 int)) #21492)
+#21503 := (not #21497)
+#21504 := (or #21468 #21503)
+#21505 := (not #21504)
+#21534 := (or #21505 #21531)
+#21540 := (not #21534)
+#21541 := (or #13093 #21540)
+#21542 := (not #21541)
+#21547 := (or #13093 #21542)
+#21557 := (not #21547)
+#21558 := (or #21553 #21554 #17742 #21555 #21556 #17745 #21557)
+#21559 := (not #21558)
+#21564 := (or #17742 #17745 #21559)
+#21576 := (not #21564)
+#21615 := (or #21613 #21614 #21602 #21575 #12996 #21554 #21576)
+#21616 := (not #21615)
+#21577 := (or #21570 #21571 #17721 #17730 #21572 #21573 #21574 #21575 #21554 #21576)
+#21578 := (not #21577)
+#21583 := (or #17721 #17730 #21578)
+#21589 := (not #21583)
+#21590 := (or #17721 #17724 #21589)
+#21591 := (not #21590)
+#21596 := (or #17721 #17724 #21591)
+#21603 := (not #21596)
+#21604 := (or #21602 #21575 #12997 #21603)
+#21605 := (not #21604)
+#21621 := (or #21605 #21616)
+#21627 := (not #21621)
+#21628 := (or #17721 #17730 #21602 #21575 #21627)
+#21629 := (not #21628)
+#21634 := (or #17721 #17730 #21629)
+#21640 := (not #21634)
+#21641 := (or #17721 #17724 #21640)
+#21642 := (not #21641)
+#21647 := (or #17721 #17724 #21642)
+#21653 := (not #21647)
+#21654 := (or #21602 #21575 #12967 #21653)
+#21655 := (not #21654)
+#21749 := (or #21655 #21744)
+#21771 := (not #21749)
+#21463 := (forall (vars (?x775 int)) #21458)
+#21767 := (not #21463)
+#21772 := (or #17676 #21755 #21756 #21757 #21758 #21759 #21760 #21761 #21762 #21763 #12740 #21602 #21575 #13358 #21764 #21765 #21766 #21768 #21769 #21770 #21767 #21771)
+#21773 := (not #21772)
+#21778 := (or #17676 #12740 #21773)
+#21785 := (not #21778)
+#21441 := (forall (vars (?x773 int)) #21436)
+#21784 := (not #21441)
+#21786 := (or #21784 #21785)
+#21787 := (not #21786)
+#21792 := (or #21419 #21787)
+#21798 := (not #21792)
+#21799 := (or #12866 #21798)
+#21800 := (not #21799)
+#21805 := (or #12866 #21800)
+#21814 := (not #21805)
+#21815 := (or #17676 #21811 #21812 #21813 #17631 #17640 #21814)
+#21816 := (not #21815)
+#21821 := (or #17631 #17640 #21816)
+#21827 := (not #21821)
+#21828 := (or #17631 #17634 #21827)
+#21829 := (not #21828)
+#21834 := (or #17631 #17634 #21829)
+#21840 := (not #21834)
+#21841 := (or #12702 #21840)
+#21842 := (not #21841)
+#21847 := (or #12702 #21842)
+#22708 := (iff #21847 #22707)
+#22705 := (iff #21842 #22704)
+#22702 := (iff #21841 #22701)
+#22699 := (iff #21840 #22698)
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+#21582 := [trans #21569 #21580]: #21581
+#21585 := [monotonicity #21582]: #21584
+#21588 := [monotonicity #21585]: #21587
+#21595 := [trans #21588 #21593]: #21594
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+#21626 := [monotonicity #21623]: #21625
+#21633 := [trans #21626 #21631]: #21632
+#21636 := [monotonicity #21633]: #21635
+#21639 := [monotonicity #21636]: #21638
+#21646 := [trans #21639 #21644]: #21645
+#21649 := [monotonicity #21646]: #21648
+#21652 := [monotonicity #21649]: #21651
+#21659 := [trans #21652 #21657]: #21658
+#21751 := [monotonicity #21659 #21748]: #21750
+#21464 := (iff #15076 #21463)
+#21461 := (iff #15071 #21458)
+#21444 := (or #4963 #13362 #18695)
+#21455 := (or #13380 #21444)
+#21459 := (iff #21455 #21458)
+#21460 := [rewrite]: #21459
+#21456 := (iff #15071 #21455)
+#21453 := (iff #15065 #21444)
+#21445 := (not #21444)
+#21448 := (not #21445)
+#21451 := (iff #21448 #21444)
+#21452 := [rewrite]: #21451
+#21449 := (iff #15065 #21448)
+#21446 := (iff #15060 #21445)
+#21447 := [rewrite]: #21446
+#21450 := [monotonicity #21447]: #21449
+#21454 := [trans #21450 #21452]: #21453
+#21457 := [monotonicity #21454]: #21456
+#21462 := [trans #21457 #21460]: #21461
+#21465 := [quant-intro #21462]: #21464
+#21754 := [monotonicity #21465 #21751]: #21753
+#21777 := [trans #21754 #21775]: #21776
+#21780 := [monotonicity #21777]: #21779
+#21442 := (iff #15051 #21441)
+#21439 := (iff #15046 #21436)
+#21422 := (or #4963 #12869 #18695)
+#21433 := (or #12885 #21422)
+#21437 := (iff #21433 #21436)
+#21438 := [rewrite]: #21437
+#21434 := (iff #15046 #21433)
+#21431 := (iff #15040 #21422)
+#21423 := (not #21422)
+#21426 := (not #21423)
+#21429 := (iff #21426 #21422)
+#21430 := [rewrite]: #21429
+#21427 := (iff #15040 #21426)
+#21424 := (iff #15035 #21423)
+#21425 := [rewrite]: #21424
+#21428 := [monotonicity #21425]: #21427
+#21432 := [trans #21428 #21430]: #21431
+#21435 := [monotonicity #21432]: #21434
+#21440 := [trans #21435 #21438]: #21439
+#21443 := [quant-intro #21440]: #21442
+#21783 := [monotonicity #21443 #21780]: #21782
+#21791 := [trans #21783 #21789]: #21790
+#21420 := (iff #17980 #21419)
+#21417 := (iff #17977 #21414)
+#21400 := (or #21398 #17653 #21399)
+#21411 := (or #17662 #21400)
+#21415 := (iff #21411 #21414)
+#21416 := [rewrite]: #21415
+#21412 := (iff #17977 #21411)
+#21409 := (iff #17974 #21400)
+#21401 := (not #21400)
+#21404 := (not #21401)
+#21407 := (iff #21404 #21400)
+#21408 := [rewrite]: #21407
+#21405 := (iff #17974 #21404)
+#21402 := (iff #17971 #21401)
+#21403 := [rewrite]: #21402
+#21406 := [monotonicity #21403]: #21405
+#21410 := [trans #21406 #21408]: #21409
+#21413 := [monotonicity #21410]: #21412
+#21418 := [trans #21413 #21416]: #21417
+#21421 := [monotonicity #21418]: #21420
+#21794 := [monotonicity #21421 #21791]: #21793
+#21797 := [monotonicity #21794]: #21796
+#21804 := [trans #21797 #21802]: #21803
+#21807 := [monotonicity #21804]: #21806
+#21810 := [monotonicity #21807]: #21809
+#21820 := [trans #21810 #21818]: #21819
+#21823 := [monotonicity #21820]: #21822
+#21826 := [monotonicity #21823]: #21825
+#21833 := [trans #21826 #21831]: #21832
+#21836 := [monotonicity #21833]: #21835
+#21839 := [monotonicity #21836]: #21838
+#21846 := [trans #21839 #21844]: #21845
+#21849 := [monotonicity #21846]: #21848
+#17867 := (+ ?x776!15 #12727)
+#17868 := (>= #17867 0::int)
+#17869 := (not #17868)
+#17871 := (and #17870 #17869 #17866)
+#17872 := (not #17871)
+#17875 := (+ #17874 #13286)
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+#17877 := (or #17876 #17872)
+#17878 := (not #17877)
+#17901 := (or #17878 #17897)
+#14493 := (and #12113 #12116 #12119 #12122 #12910 #12913)
+#14498 := (not #14493)
+#17862 := (not #14498)
+#17859 := (not #13347)
+#17905 := (and #17859 #17862 #17901)
+#17758 := (+ ?x785!14 #13062)
+#17759 := (>= #17758 0::int)
+#17760 := (not #17759)
+#17762 := (and #17761 #17760 #17757)
+#17763 := (not #17762)
+#17766 := (+ #17765 #13112)
+#17767 := (<= #17766 0::int)
+#17768 := (or #17767 #17763)
+#17769 := (not #17768)
+#17788 := (or #17769 #17784)
+#17753 := (not #13093)
+#17792 := (and #17753 #17788)
+#17796 := (or #13093 #17792)
+#15135 := (and #3258 #13017 #13051 #13059 #13061 #15127)
+#15140 := (not #15135)
+#17748 := (not #15140)
+#17800 := (and #17748 #17796)
+#17804 := (or #17742 #17745 #17800)
+#17828 := (not #13216)
+#17831 := (and #17828 #17804)
+#17739 := (not #13048)
+#17808 := (and #17739 #17804)
+#17812 := (or #17721 #17730 #17808)
+#17727 := (not #12503)
+#17816 := (and #17727 #17812)
+#17820 := (or #17721 #17724 #17816)
+#17736 := (not #13013)
+#17824 := (and #17736 #17820)
+#17835 := (or #17824 #17831)
+#17733 := (not #12993)
+#17839 := (and #17733 #17835)
+#17843 := (or #17721 #17730 #17839)
+#17847 := (and #17727 #17843)
+#17851 := (or #17721 #17724 #17847)
+#17718 := (not #12982)
+#17855 := (and #17718 #17851)
+#17909 := (or #17855 #17905)
+#15115 := (and #3055 #12030 #12741 #12910 #12913 #13359 #13389 #13392 #13402 #15076 #15085 #15096 #15107)
+#14482 := (and #3195 #3196 #3197 #3198 #3199 #3200 #12067 #12261 #12910 #12913)
+#14487 := (not #14482)
+#17682 := (not #14487)
+#17913 := (and #17682 #15115 #17909)
+#17679 := (not #12741)
+#17917 := (or #17676 #17679 #17913)
+#17921 := (and #15051 #17917)
+#17656 := (and #17655 #17654 #17652)
+#17657 := (not #17656)
+#17663 := (or #17662 #17657)
+#17664 := (not #17663)
+#17925 := (or #17664 #17921)
+#17648 := (not #12866)
+#17929 := (and #17648 #17925)
+#17933 := (or #12866 #17929)
+#17643 := (not #12860)
+#17937 := (and #17643 #17933)
+#17941 := (or #17631 #17640 #17937)
+#17637 := (not #12690)
+#17945 := (and #17637 #17941)
+#17949 := (or #17631 #17634 #17945)
+#17628 := (not #12702)
+#17953 := (and #17628 #17949)
+#17957 := (or #12702 #17953)
+#18263 := (iff #17957 #18262)
+#18260 := (iff #17953 #18259)
+#18257 := (iff #17949 #18256)
+#18254 := (iff #17945 #18251)
+#18248 := (and #11976 #18245)
+#18252 := (iff #18248 #18251)
+#18253 := [rewrite]: #18252
+#18249 := (iff #17945 #18248)
+#18246 := (iff #17941 #18245)
+#18243 := (iff #17937 #18240)
+#18237 := (and #12855 #18234)
+#18241 := (iff #18237 #18240)
+#18242 := [rewrite]: #18241
+#18238 := (iff #17937 #18237)
+#18235 := (iff #17933 #18234)
+#18232 := (iff #17929 #18231)
+#18229 := (iff #17925 #18228)
+#18226 := (iff #17921 #18225)
+#18223 := (iff #17917 #18222)
+#18220 := (iff #17913 #18217)
+#18214 := (and #14482 #15115 #18211)
+#18218 := (iff #18214 #18217)
+#18219 := [rewrite]: #18218
+#18215 := (iff #17913 #18214)
+#18212 := (iff #17909 #18211)
+#18209 := (iff #17905 #18206)
+#18203 := (and #13342 #14493 #18198)
+#18207 := (iff #18203 #18206)
+#18208 := [rewrite]: #18207
+#18204 := (iff #17905 #18203)
+#18201 := (iff #17901 #18198)
+#18195 := (or #18192 #17897)
+#18199 := (iff #18195 #18198)
+#18200 := [rewrite]: #18199
+#18196 := (iff #17901 #18195)
+#18193 := (iff #17878 #18192)
+#18190 := (iff #17877 #18189)
+#18187 := (iff #17872 #18186)
+#18184 := (iff #17871 #18181)
+#18178 := (and #17870 #18175 #17866)
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+#18183 := [rewrite]: #18182
+#18179 := (iff #17871 #18178)
+#18176 := (iff #17869 #18175)
+#18173 := (iff #17868 #18170)
+#18162 := (+ #12727 ?x776!15)
+#18165 := (>= #18162 0::int)
+#18171 := (iff #18165 #18170)
+#18172 := [rewrite]: #18171
+#18166 := (iff #17868 #18165)
+#18163 := (= #17867 #18162)
+#18164 := [rewrite]: #18163
+#18167 := [monotonicity #18164]: #18166
+#18174 := [trans #18167 #18172]: #18173
+#18177 := [monotonicity #18174]: #18176
+#18180 := [monotonicity #18177]: #18179
+#18185 := [trans #18180 #18183]: #18184
+#18188 := [monotonicity #18185]: #18187
+#18160 := (iff #17876 #18157)
+#18149 := (+ #13286 #17874)
+#18152 := (<= #18149 0::int)
+#18158 := (iff #18152 #18157)
+#18159 := [rewrite]: #18158
+#18153 := (iff #17876 #18152)
+#18150 := (= #17875 #18149)
+#18151 := [rewrite]: #18150
+#18154 := [monotonicity #18151]: #18153
+#18161 := [trans #18154 #18159]: #18160
+#18191 := [monotonicity #18161 #18188]: #18190
+#18194 := [monotonicity #18191]: #18193
+#18197 := [monotonicity #18194]: #18196
+#18202 := [trans #18197 #18200]: #18201
+#18147 := (iff #17862 #14493)
+#18148 := [rewrite]: #18147
+#18145 := (iff #17859 #13342)
+#18146 := [rewrite]: #18145
+#18205 := [monotonicity #18146 #18148 #18202]: #18204
+#18210 := [trans #18205 #18208]: #18209
+#18143 := (iff #17855 #18140)
+#18137 := (and #12977 #18134)
+#18141 := (iff #18137 #18140)
+#18142 := [rewrite]: #18141
+#18138 := (iff #17855 #18137)
+#18135 := (iff #17851 #18134)
+#18132 := (iff #17847 #18129)
+#18126 := (and #12352 #18123)
+#18130 := (iff #18126 #18129)
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+#18127 := (iff #17847 #18126)
+#18124 := (iff #17843 #18123)
+#18121 := (iff #17839 #18118)
+#18115 := (and #12988 #18112)
+#18119 := (iff #18115 #18118)
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+#18116 := (iff #17839 #18115)
+#18113 := (iff #17835 #18112)
+#18110 := (iff #17831 #18107)
+#18104 := (and #13211 #18069)
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+#18061 := (and #15135 #18058)
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+#18059 := (iff #17796 #18058)
+#18056 := (iff #17792 #18055)
+#18053 := (iff #17788 #18050)
+#18047 := (or #18044 #17784)
+#18051 := (iff #18047 #18050)
+#18052 := [rewrite]: #18051
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+#18042 := (iff #17768 #18041)
+#18039 := (iff #17763 #18038)
+#18036 := (iff #17762 #18033)
+#18030 := (and #17761 #18027 #17757)
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+#18035 := [rewrite]: #18034
+#18031 := (iff #17762 #18030)
+#18028 := (iff #17760 #18027)
+#18025 := (iff #17759 #18022)
+#18014 := (+ #13062 ?x785!14)
+#18017 := (>= #18014 0::int)
+#18023 := (iff #18017 #18022)
+#18024 := [rewrite]: #18023
+#18018 := (iff #17759 #18017)
+#18015 := (= #17758 #18014)
+#18016 := [rewrite]: #18015
+#18019 := [monotonicity #18016]: #18018
+#18026 := [trans #18019 #18024]: #18025
+#18029 := [monotonicity #18026]: #18028
+#18032 := [monotonicity #18029]: #18031
+#18037 := [trans #18032 #18035]: #18036
+#18040 := [monotonicity #18037]: #18039
+#18012 := (iff #17767 #18009)
+#18001 := (+ #13112 #17765)
+#18004 := (<= #18001 0::int)
+#18010 := (iff #18004 #18009)
+#18011 := [rewrite]: #18010
+#18005 := (iff #17767 #18004)
+#18002 := (= #17766 #18001)
+#18003 := [rewrite]: #18002
+#18006 := [monotonicity #18003]: #18005
+#18013 := [trans #18006 #18011]: #18012
+#18043 := [monotonicity #18013 #18040]: #18042
+#18046 := [monotonicity #18043]: #18045
+#18049 := [monotonicity #18046]: #18048
+#18054 := [trans #18049 #18052]: #18053
+#17999 := (iff #17753 #13089)
+#18000 := [rewrite]: #17999
+#18057 := [monotonicity #18000 #18054]: #18056
+#18060 := [monotonicity #18057]: #18059
+#17997 := (iff #17748 #15135)
+#17998 := [rewrite]: #17997
+#18063 := [monotonicity #17998 #18060]: #18062
+#18068 := [trans #18063 #18066]: #18067
+#18071 := [monotonicity #18068]: #18070
+#18102 := (iff #17828 #13211)
+#18103 := [rewrite]: #18102
+#18106 := [monotonicity #18103 #18071]: #18105
+#18111 := [trans #18106 #18109]: #18110
+#18100 := (iff #17824 #18097)
+#18094 := (and #13008 #18091)
+#18098 := (iff #18094 #18097)
+#18099 := [rewrite]: #18098
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+#18083 := (and #12352 #18080)
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+#18088 := [rewrite]: #18087
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+#18072 := (and #13043 #18069)
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+#18077 := [rewrite]: #18076
+#18073 := (iff #17808 #18072)
+#17995 := (iff #17739 #13043)
+#17996 := [rewrite]: #17995
+#18074 := [monotonicity #17996 #18071]: #18073
+#18079 := [trans #18074 #18077]: #18078
+#18082 := [monotonicity #18079]: #18081
+#17989 := (iff #17727 #12352)
+#17990 := [rewrite]: #17989
+#18085 := [monotonicity #17990 #18082]: #18084
+#18090 := [trans #18085 #18088]: #18089
+#18093 := [monotonicity #18090]: #18092
+#17993 := (iff #17736 #13008)
+#17994 := [rewrite]: #17993
+#18096 := [monotonicity #17994 #18093]: #18095
+#18101 := [trans #18096 #18099]: #18100
+#18114 := [monotonicity #18101 #18111]: #18113
+#17991 := (iff #17733 #12988)
+#17992 := [rewrite]: #17991
+#18117 := [monotonicity #17992 #18114]: #18116
+#18122 := [trans #18117 #18120]: #18121
+#18125 := [monotonicity #18122]: #18124
+#18128 := [monotonicity #17990 #18125]: #18127
+#18133 := [trans #18128 #18131]: #18132
+#18136 := [monotonicity #18133]: #18135
+#17987 := (iff #17718 #12977)
+#17988 := [rewrite]: #17987
+#18139 := [monotonicity #17988 #18136]: #18138
+#18144 := [trans #18139 #18142]: #18143
+#18213 := [monotonicity #18144 #18210]: #18212
+#17985 := (iff #17682 #14482)
+#17986 := [rewrite]: #17985
+#18216 := [monotonicity #17986 #18213]: #18215
+#18221 := [trans #18216 #18219]: #18220
+#17983 := (iff #17679 #12740)
+#17984 := [rewrite]: #17983
+#18224 := [monotonicity #17984 #18221]: #18223
+#18227 := [monotonicity #18224]: #18226
+#17981 := (iff #17664 #17980)
+#17978 := (iff #17663 #17977)
+#17975 := (iff #17657 #17974)
+#17972 := (iff #17656 #17971)
+#17973 := [rewrite]: #17972
+#17976 := [monotonicity #17973]: #17975
+#17979 := [monotonicity #17976]: #17978
+#17982 := [monotonicity #17979]: #17981
+#18230 := [monotonicity #17982 #18227]: #18229
+#17969 := (iff #17648 #12863)
+#17970 := [rewrite]: #17969
+#18233 := [monotonicity #17970 #18230]: #18232
+#18236 := [monotonicity #18233]: #18235
+#17967 := (iff #17643 #12855)
+#17968 := [rewrite]: #17967
+#18239 := [monotonicity #17968 #18236]: #18238
+#18244 := [trans #18239 #18242]: #18243
+#18247 := [monotonicity #18244]: #18246
+#17965 := (iff #17637 #11976)
+#17966 := [rewrite]: #17965
+#18250 := [monotonicity #17966 #18247]: #18249
+#18255 := [trans #18250 #18253]: #18254
+#18258 := [monotonicity #18255]: #18257
+#17963 := (iff #17628 #11967)
+#17964 := [rewrite]: #17963
+#18261 := [monotonicity #17964 #18258]: #18260
+#18264 := [monotonicity #18261]: #18263
+#15265 := (exists (vars (?x778 int)) #15260)
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+#15268 := (or #15254 #15265)
+#15271 := (and #15251 #15268)
+#15277 := (or #13347 #14498 #15271)
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+#15171 := (or #13135 #15165)
+#15176 := (and #15162 #15171)
+#15179 := (or #13093 #15176)
+#15182 := (and #13089 #15179)
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+#15194 := (and #12346 #12355 #15191)
+#15197 := (or #12503 #15194)
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+#15203 := (or #13013 #15200)
+#15214 := (and #15203 #15209)
+#15217 := (or #12993 #15214)
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+#15223 := (or #12503 #15220)
+#15226 := (and #12346 #12349 #15223)
+#15229 := (or #12982 #15226)
+#15282 := (and #15229 #15277)
+#15120 := (not #15115)
+#15288 := (or #14487 #15120 #15282)
+#15293 := (and #3055 #12741 #15288)
+#15054 := (not #15051)
+#15296 := (or #15054 #15293)
+#15299 := (and #15051 #15296)
+#15302 := (or #12866 #15299)
+#15305 := (and #12863 #15302)
+#15308 := (or #12860 #15305)
+#15311 := (and #11970 #11979 #15308)
+#15314 := (or #12690 #15311)
+#15317 := (and #11970 #11973 #15314)
+#15320 := (or #12702 #15317)
+#15323 := (and #11967 #15320)
+#15326 := (not #15323)
+#17958 := (~ #15326 #17957)
+#17954 := (not #15320)
+#17955 := (~ #17954 #17953)
+#17950 := (not #15317)
+#17951 := (~ #17950 #17949)
+#17946 := (not #15314)
+#17947 := (~ #17946 #17945)
+#17942 := (not #15311)
+#17943 := (~ #17942 #17941)
+#17938 := (not #15308)
+#17939 := (~ #17938 #17937)
+#17934 := (not #15305)
+#17935 := (~ #17934 #17933)
+#17930 := (not #15302)
+#17931 := (~ #17930 #17929)
+#17926 := (not #15299)
+#17927 := (~ #17926 #17925)
+#17922 := (not #15296)
+#17923 := (~ #17922 #17921)
+#17918 := (not #15293)
+#17919 := (~ #17918 #17917)
+#17914 := (not #15288)
+#17915 := (~ #17914 #17913)
+#17910 := (not #15282)
+#17911 := (~ #17910 #17909)
+#17906 := (not #15277)
+#17907 := (~ #17906 #17905)
+#17902 := (not #15271)
+#17903 := (~ #17902 #17901)
+#17898 := (not #15268)
+#17899 := (~ #17898 #17897)
+#17894 := (not #15265)
+#17895 := (~ #17894 #17893)
+#17891 := (~ #17890 #17890)
+#17892 := [refl]: #17891
+#17896 := [nnf-neg #17892]: #17895
+#17887 := (not #15254)
+#17888 := (~ #17887 #15251)
+#17885 := (~ #15251 #15251)
+#17883 := (~ #15246 #15246)
+#17884 := [refl]: #17883
+#17886 := [nnf-pos #17884]: #17885
+#17889 := [nnf-neg #17886]: #17888
+#17900 := [nnf-neg #17889 #17896]: #17899
+#17879 := (~ #15254 #17878)
+#17880 := [sk]: #17879
+#17904 := [nnf-neg #17880 #17900]: #17903
+#17863 := (~ #17862 #17862)
+#17864 := [refl]: #17863
+#17860 := (~ #17859 #17859)
+#17861 := [refl]: #17860
+#17908 := [nnf-neg #17861 #17864 #17904]: #17907
+#17856 := (not #15229)
+#17857 := (~ #17856 #17855)
+#17852 := (not #15226)
+#17853 := (~ #17852 #17851)
+#17848 := (not #15223)
+#17849 := (~ #17848 #17847)
+#17844 := (not #15220)
+#17845 := (~ #17844 #17843)
+#17840 := (not #15217)
+#17841 := (~ #17840 #17839)
+#17836 := (not #15214)
+#17837 := (~ #17836 #17835)
+#17832 := (not #15209)
+#17833 := (~ #17832 #17831)
+#17805 := (not #15188)
+#17806 := (~ #17805 #17804)
+#17801 := (not #15185)
+#17802 := (~ #17801 #17800)
+#17797 := (not #15182)
+#17798 := (~ #17797 #17796)
+#17793 := (not #15179)
+#17794 := (~ #17793 #17792)
+#17789 := (not #15176)
+#17790 := (~ #17789 #17788)
+#17785 := (not #15171)
+#17786 := (~ #17785 #17784)
+#17781 := (not #15165)
+#17782 := (~ #17781 #15162)
+#17779 := (~ #15162 #15162)
+#17777 := (~ #15157 #15157)
+#17778 := [refl]: #17777
+#17780 := [nnf-pos #17778]: #17779
+#17783 := [nnf-neg #17780]: #17782
+#17775 := (~ #17774 #17774)
+#17776 := [refl]: #17775
+#17787 := [nnf-neg #17776 #17783]: #17786
+#17770 := (~ #15165 #17769)
+#17771 := [sk]: #17770
+#17791 := [nnf-neg #17771 #17787]: #17790
+#17754 := (~ #17753 #17753)
+#17755 := [refl]: #17754
+#17795 := [nnf-neg #17755 #17791]: #17794
+#17751 := (~ #13093 #13093)
+#17752 := [refl]: #17751
+#17799 := [nnf-neg #17752 #17795]: #17798
+#17749 := (~ #17748 #17748)
+#17750 := [refl]: #17749
+#17803 := [nnf-neg #17750 #17799]: #17802
+#17746 := (~ #17745 #17745)
+#17747 := [refl]: #17746
+#17743 := (~ #17742 #17742)
+#17744 := [refl]: #17743
+#17807 := [nnf-neg #17744 #17747 #17803]: #17806
+#17829 := (~ #17828 #17828)
+#17830 := [refl]: #17829
+#17834 := [nnf-neg #17830 #17807]: #17833
+#17825 := (not #15203)
+#17826 := (~ #17825 #17824)
+#17821 := (not #15200)
+#17822 := (~ #17821 #17820)
+#17817 := (not #15197)
+#17818 := (~ #17817 #17816)
+#17813 := (not #15194)
+#17814 := (~ #17813 #17812)
+#17809 := (not #15191)
+#17810 := (~ #17809 #17808)
+#17740 := (~ #17739 #17739)
+#17741 := [refl]: #17740
+#17811 := [nnf-neg #17741 #17807]: #17810
+#17731 := (~ #17730 #17730)
+#17732 := [refl]: #17731
+#17722 := (~ #17721 #17721)
+#17723 := [refl]: #17722
+#17815 := [nnf-neg #17723 #17732 #17811]: #17814
+#17728 := (~ #17727 #17727)
+#17729 := [refl]: #17728
+#17819 := [nnf-neg #17729 #17815]: #17818
+#17725 := (~ #17724 #17724)
+#17726 := [refl]: #17725
+#17823 := [nnf-neg #17723 #17726 #17819]: #17822
+#17737 := (~ #17736 #17736)
+#17738 := [refl]: #17737
+#17827 := [nnf-neg #17738 #17823]: #17826
+#17838 := [nnf-neg #17827 #17834]: #17837
+#17734 := (~ #17733 #17733)
+#17735 := [refl]: #17734
+#17842 := [nnf-neg #17735 #17838]: #17841
+#17846 := [nnf-neg #17723 #17732 #17842]: #17845
+#17850 := [nnf-neg #17729 #17846]: #17849
+#17854 := [nnf-neg #17723 #17726 #17850]: #17853
+#17719 := (~ #17718 #17718)
+#17720 := [refl]: #17719
+#17858 := [nnf-neg #17720 #17854]: #17857
+#17912 := [nnf-neg #17858 #17908]: #17911
+#17715 := (not #15120)
+#17716 := (~ #17715 #15115)
+#17713 := (~ #15115 #15115)
+#17711 := (~ #15107 #15107)
+#17712 := [refl]: #17711
+#17709 := (~ #15096 #15096)
+#17710 := [refl]: #17709
+#17707 := (~ #15085 #15085)
+#17708 := [refl]: #17707
+#17705 := (~ #15076 #15076)
+#17703 := (~ #15071 #15071)
+#17704 := [refl]: #17703
+#17706 := [nnf-pos #17704]: #17705
+#17701 := (~ #13402 #13402)
+#17702 := [refl]: #17701
+#17699 := (~ #13392 #13392)
+#17700 := [refl]: #17699
+#17697 := (~ #13389 #13389)
+#17698 := [refl]: #17697
+#17695 := (~ #13359 #13359)
+#17696 := [refl]: #17695
+#17693 := (~ #12913 #12913)
+#17694 := [refl]: #17693
+#17691 := (~ #12910 #12910)
+#17692 := [refl]: #17691
+#17689 := (~ #12741 #12741)
+#17690 := [refl]: #17689
+#17687 := (~ #12030 #12030)
+#17688 := [refl]: #17687
+#17685 := (~ #3055 #3055)
+#17686 := [refl]: #17685
+#17714 := [monotonicity #17686 #17688 #17690 #17692 #17694 #17696 #17698 #17700 #17702 #17706 #17708 #17710 #17712]: #17713
+#17717 := [nnf-neg #17714]: #17716
+#17683 := (~ #17682 #17682)
+#17684 := [refl]: #17683
+#17916 := [nnf-neg #17684 #17717 #17912]: #17915
+#17680 := (~ #17679 #17679)
+#17681 := [refl]: #17680
+#17677 := (~ #17676 #17676)
+#17678 := [refl]: #17677
+#17920 := [nnf-neg #17678 #17681 #17916]: #17919
+#17673 := (not #15054)
+#17674 := (~ #17673 #15051)
+#17671 := (~ #15051 #15051)
+#17669 := (~ #15046 #15046)
+#17670 := [refl]: #17669
+#17672 := [nnf-pos #17670]: #17671
+#17675 := [nnf-neg #17672]: #17674
+#17924 := [nnf-neg #17675 #17920]: #17923
+#17665 := (~ #15054 #17664)
+#17666 := [sk]: #17665
+#17928 := [nnf-neg #17666 #17924]: #17927
+#17649 := (~ #17648 #17648)
+#17650 := [refl]: #17649
+#17932 := [nnf-neg #17650 #17928]: #17931
+#17646 := (~ #12866 #12866)
+#17647 := [refl]: #17646
+#17936 := [nnf-neg #17647 #17932]: #17935
+#17644 := (~ #17643 #17643)
+#17645 := [refl]: #17644
+#17940 := [nnf-neg #17645 #17936]: #17939
+#17641 := (~ #17640 #17640)
+#17642 := [refl]: #17641
+#17632 := (~ #17631 #17631)
+#17633 := [refl]: #17632
+#17944 := [nnf-neg #17633 #17642 #17940]: #17943
+#17638 := (~ #17637 #17637)
+#17639 := [refl]: #17638
+#17948 := [nnf-neg #17639 #17944]: #17947
+#17635 := (~ #17634 #17634)
+#17636 := [refl]: #17635
+#17952 := [nnf-neg #17633 #17636 #17948]: #17951
+#17629 := (~ #17628 #17628)
+#17630 := [refl]: #17629
+#17956 := [nnf-neg #17630 #17952]: #17955
+#17626 := (~ #12702 #12702)
+#17627 := [refl]: #17626
+#17959 := [nnf-neg #17627 #17956]: #17958
+#14519 := (or #13325 #13347 #14498)
+#14524 := (and #13247 #14519)
+#14530 := (or #13453 #14487 #14524)
+#14535 := (and #3055 #12741 #14530)
+#14538 := (or #12895 #14535)
+#14541 := (and #12892 #14538)
+#14544 := (or #12866 #14541)
+#14547 := (and #12863 #14544)
+#14550 := (or #12860 #14547)
+#14553 := (and #11970 #11979 #14550)
+#14556 := (or #12690 #14553)
+#14559 := (and #11970 #11973 #14556)
+#14562 := (or #12702 #14559)
+#14565 := (and #11967 #14562)
+#14568 := (not #14565)
+#15327 := (iff #14568 #15326)
+#15324 := (iff #14565 #15323)
+#15321 := (iff #14562 #15320)
+#15318 := (iff #14559 #15317)
+#15315 := (iff #14556 #15314)
+#15312 := (iff #14553 #15311)
+#15309 := (iff #14550 #15308)
+#15306 := (iff #14547 #15305)
+#15303 := (iff #14544 #15302)
+#15300 := (iff #14541 #15299)
+#15297 := (iff #14538 #15296)
+#15294 := (iff #14535 #15293)
+#15291 := (iff #14530 #15288)
+#15285 := (or #15120 #14487 #15282)
+#15289 := (iff #15285 #15288)
+#15290 := [rewrite]: #15289
+#15286 := (iff #14530 #15285)
+#15283 := (iff #14524 #15282)
+#15280 := (iff #14519 #15277)
+#15274 := (or #15271 #13347 #14498)
+#15278 := (iff #15274 #15277)
+#15279 := [rewrite]: #15278
+#15275 := (iff #14519 #15274)
+#15272 := (iff #13325 #15271)
+#15269 := (iff #13320 #15268)
+#15266 := (iff #13311 #15265)
+#15263 := (iff #13306 #15260)
+#15257 := (and #3142 #4041 #14378 #13272)
+#15261 := (iff #15257 #15260)
+#15262 := [rewrite]: #15261
+#15258 := (iff #13306 #15257)
+#14373 := (iff #4355 #14378)
+#14394 := -4294967295::int
+#14386 := (+ -4294967295::int #161)
+#14379 := (<= #14386 0::int)
+#14375 := (iff #14379 #14378)
+#14376 := [rewrite]: #14375
+#14380 := (iff #4355 #14379)
+#14381 := (= #4354 #14386)
+#14387 := (+ #161 -4294967295::int)
+#14383 := (= #14387 #14386)
+#14384 := [rewrite]: #14383
+#14388 := (= #4354 #14387)
+#14389 := (= #4353 -4294967295::int)
+#14395 := (* -1::int 4294967295::int)
+#14391 := (= #14395 -4294967295::int)
+#14392 := [rewrite]: #14391
+#14396 := (= #4353 #14395)
+#7476 := (= uf_76 4294967295::int)
+#947 := 65536::int
+#1322 := (* 65536::int 65536::int)
+#1327 := (- #1322 1::int)
+#1328 := (= uf_76 #1327)
+#7477 := (iff #1328 #7476)
+#7474 := (= #1327 4294967295::int)
+#1010 := 4294967296::int
+#7467 := (- 4294967296::int 1::int)
+#7472 := (= #7467 4294967295::int)
+#7473 := [rewrite]: #7472
+#7469 := (= #1327 #7467)
+#7438 := (= #1322 4294967296::int)
+#7439 := [rewrite]: #7438
+#7470 := [monotonicity #7439]: #7469
+#7475 := [trans #7470 #7473]: #7474
+#7478 := [monotonicity #7475]: #7477
+#7466 := [asserted]: #1328
+#7481 := [mp #7466 #7478]: #7476
+#14393 := [monotonicity #7481]: #14396
+#14390 := [trans #14393 #14392]: #14389
+#14385 := [monotonicity #14390]: #14388
+#14382 := [trans #14385 #14384]: #14381
+#14377 := [monotonicity #14382]: #14380
+#14374 := [trans #14377 #14376]: #14373
+#15259 := [monotonicity #14374]: #15258
+#15264 := [trans #15259 #15262]: #15263
+#15267 := [quant-intro #15264]: #15266
+#15255 := (iff #13314 #15254)
+#15252 := (iff #13294 #15251)
+#15249 := (iff #13291 #15246)
+#15243 := (or #15240 #13288)
+#15247 := (iff #15243 #15246)
+#15248 := [rewrite]: #15247
+#15244 := (iff #13291 #15243)
+#15241 := (iff #13283 #15240)
+#15238 := (iff #13278 #15235)
+#15232 := (and #4041 #14378 #13272)
+#15236 := (iff #15232 #15235)
+#15237 := [rewrite]: #15236
+#15233 := (iff #13278 #15232)
+#15234 := [monotonicity #14374]: #15233
+#15239 := [trans #15234 #15237]: #15238
+#15242 := [monotonicity #15239]: #15241
+#15245 := [monotonicity #15242]: #15244
+#15250 := [trans #15245 #15248]: #15249
+#15253 := [quant-intro #15250]: #15252
+#15256 := [monotonicity #15253]: #15255
+#15270 := [monotonicity #15256 #15267]: #15269
+#15273 := [monotonicity #15253 #15270]: #15272
+#15276 := [monotonicity #15273]: #15275
+#15281 := [trans #15276 #15279]: #15280
+#15230 := (iff #13247 #15229)
+#15227 := (iff #13242 #15226)
+#15224 := (iff #13236 #15223)
+#15221 := (iff #13231 #15220)
+#15218 := (iff #13225 #15217)
+#15215 := (iff #13222 #15214)
+#15212 := (iff #13219 #15209)
+#15206 := (or #15188 #13216)
+#15210 := (iff #15206 #15209)
+#15211 := [rewrite]: #15210
+#15207 := (iff #13219 #15206)
+#15189 := (iff #13158 #15188)
+#15186 := (iff #13152 #15185)
+#15183 := (iff #13149 #15182)
+#15180 := (iff #13146 #15179)
+#15177 := (iff #13143 #15176)
+#15174 := (iff #13140 #15171)
+#15168 := (or #15165 #13135)
+#15172 := (iff #15168 #15171)
+#15173 := [rewrite]: #15172
+#15169 := (iff #13140 #15168)
+#15166 := (iff #13123 #15165)
+#15163 := (iff #13120 #15162)
+#15160 := (iff #13117 #15157)
+#15154 := (or #15151 #13114)
+#15158 := (iff #15154 #15157)
+#15159 := [rewrite]: #15158
+#15155 := (iff #13117 #15154)
+#15152 := (iff #13109 #15151)
+#15149 := (iff #13104 #15146)
+#15143 := (and #4041 #14378 #13098)
+#15147 := (iff #15143 #15146)
+#15148 := [rewrite]: #15147
+#15144 := (iff #13104 #15143)
+#15145 := [monotonicity #14374]: #15144
+#15150 := [trans #15145 #15148]: #15149
+#15153 := [monotonicity #15150]: #15152
+#15156 := [monotonicity #15153]: #15155
+#15161 := [trans #15156 #15159]: #15160
+#15164 := [quant-intro #15161]: #15163
+#15167 := [monotonicity #15164]: #15166
+#15170 := [monotonicity #15167]: #15169
+#15175 := [trans #15170 #15173]: #15174
+#15178 := [monotonicity #15164 #15175]: #15177
+#15181 := [monotonicity #15178]: #15180
+#15184 := [monotonicity #15181]: #15183
+#15141 := (iff #13086 #15140)
+#15138 := (iff #13081 #15135)
+#15132 := (and #3258 #13017 #13051 #15127 #13059 #13061)
+#15136 := (iff #15132 #15135)
+#15137 := [rewrite]: #15136
+#15133 := (iff #13081 #15132)
+#15130 := (iff #13054 #15127)
+#15079 := (+ 4294967295::int #12965)
+#15123 := (>= #15079 1::int)
+#15128 := (iff #15123 #15127)
+#15129 := [rewrite]: #15128
+#15124 := (iff #13054 #15123)
+#15080 := (= #13055 #15079)
+#15081 := [monotonicity #7481]: #15080
+#15125 := [monotonicity #15081]: #15124
+#15131 := [trans #15125 #15129]: #15130
+#15134 := [monotonicity #15131]: #15133
+#15139 := [trans #15134 #15137]: #15138
+#15142 := [monotonicity #15139]: #15141
+#15187 := [monotonicity #15142 #15184]: #15186
+#15190 := [monotonicity #15131 #15187]: #15189
+#15208 := [monotonicity #15190]: #15207
+#15213 := [trans #15208 #15211]: #15212
+#15204 := (iff #13185 #15203)
+#15201 := (iff #13180 #15200)
+#15198 := (iff #13174 #15197)
+#15195 := (iff #13169 #15194)
+#15192 := (iff #13163 #15191)
+#15193 := [monotonicity #15190]: #15192
+#15196 := [monotonicity #15193]: #15195
+#15199 := [monotonicity #15196]: #15198
+#15202 := [monotonicity #15199]: #15201
+#15205 := [monotonicity #15202]: #15204
+#15216 := [monotonicity #15205 #15213]: #15215
+#15219 := [monotonicity #15216]: #15218
+#15222 := [monotonicity #15219]: #15221
+#15225 := [monotonicity #15222]: #15224
+#15228 := [monotonicity #15225]: #15227
+#15231 := [monotonicity #15228]: #15230
+#15284 := [monotonicity #15231 #15281]: #15283
+#15121 := (iff #13453 #15120)
+#15118 := (iff #13448 #15115)
+#15112 := (and #3055 #12030 #12741 #12910 #12913 #13359 #15076 #13389 #13392 #15085 #15096 #13402 #15107)
+#15116 := (iff #15112 #15115)
+#15117 := [rewrite]: #15116
+#15113 := (iff #13448 #15112)
+#15110 := (iff #13405 #15107)
+#15101 := (+ 255::int #13378)
+#15104 := (>= #15101 0::int)
+#15108 := (iff #15104 #15107)
+#15109 := [rewrite]: #15108
+#15105 := (iff #13405 #15104)
+#15102 := (= #13406 #15101)
+#1332 := (= uf_78 255::int)
+#7480 := [asserted]: #1332
+#15103 := [monotonicity #7480]: #15102
+#15106 := [monotonicity #15103]: #15105
+#15111 := [trans #15106 #15109]: #15110
+#15099 := (iff #13398 #15096)
+#15090 := (+ 4294967295::int #13356)
+#15093 := (>= #15090 0::int)
+#15097 := (iff #15093 #15096)
+#15098 := [rewrite]: #15097
+#15094 := (iff #13398 #15093)
+#15091 := (= #13399 #15090)
+#15092 := [monotonicity #7481]: #15091
+#15095 := [monotonicity #15092]: #15094
+#15100 := [trans #15095 #15098]: #15099
+#15088 := (iff #13395 #15085)
+#15082 := (>= #15079 0::int)
+#15086 := (iff #15082 #15085)
+#15087 := [rewrite]: #15086
+#15083 := (iff #13395 #15082)
+#15084 := [monotonicity #15081]: #15083
+#15089 := [trans #15084 #15087]: #15088
+#15077 := (iff #13386 #15076)
+#15074 := (iff #13383 #15071)
+#15068 := (or #15065 #13380)
+#15072 := (iff #15068 #15071)
+#15073 := [rewrite]: #15072
+#15069 := (iff #13383 #15068)
+#15066 := (iff #13375 #15065)
+#15063 := (iff #13370 #15060)
+#15057 := (and #4041 #14378 #13364)
+#15061 := (iff #15057 #15060)
+#15062 := [rewrite]: #15061
+#15058 := (iff #13370 #15057)
+#15059 := [monotonicity #14374]: #15058
+#15064 := [trans #15059 #15062]: #15063
+#15067 := [monotonicity #15064]: #15066
+#15070 := [monotonicity #15067]: #15069
+#15075 := [trans #15070 #15073]: #15074
+#15078 := [quant-intro #15075]: #15077
+#15114 := [monotonicity #15078 #15089 #15100 #15111]: #15113
+#15119 := [trans #15114 #15117]: #15118
+#15122 := [monotonicity #15119]: #15121
+#15287 := [monotonicity #15122 #15284]: #15286
+#15292 := [trans #15287 #15290]: #15291
+#15295 := [monotonicity #15292]: #15294
+#15055 := (iff #12895 #15054)
+#15052 := (iff #12892 #15051)
+#15049 := (iff #12889 #15046)
+#15043 := (or #15040 #12885)
+#15047 := (iff #15043 #15046)
+#15048 := [rewrite]: #15047
+#15044 := (iff #12889 #15043)
+#15041 := (iff #12881 #15040)
+#15038 := (iff #12876 #15035)
+#15032 := (and #4041 #14378 #12870)
+#15036 := (iff #15032 #15035)
+#15037 := [rewrite]: #15036
+#15033 := (iff #12876 #15032)
+#15034 := [monotonicity #14374]: #15033
+#15039 := [trans #15034 #15037]: #15038
+#15042 := [monotonicity #15039]: #15041
+#15045 := [monotonicity #15042]: #15044
+#15050 := [trans #15045 #15048]: #15049
+#15053 := [quant-intro #15050]: #15052
+#15056 := [monotonicity #15053]: #15055
+#15298 := [monotonicity #15056 #15295]: #15297
+#15301 := [monotonicity #15053 #15298]: #15300
+#15304 := [monotonicity #15301]: #15303
+#15307 := [monotonicity #15304]: #15306
+#15310 := [monotonicity #15307]: #15309
+#15313 := [monotonicity #15310]: #15312
+#15316 := [monotonicity #15313]: #15315
+#15319 := [monotonicity #15316]: #15318
+#15322 := [monotonicity #15319]: #15321
+#15325 := [monotonicity #15322]: #15324
+#15328 := [monotonicity #15325]: #15327
+#13550 := (not #13512)
+#14569 := (iff #13550 #14568)
+#14566 := (iff #13512 #14565)
+#14563 := (iff #13509 #14562)
+#14560 := (iff #13504 #14559)
+#14557 := (iff #13498 #14556)
+#14554 := (iff #13493 #14553)
+#14551 := (iff #13487 #14550)
+#14548 := (iff #13484 #14547)
+#14545 := (iff #13481 #14544)
+#14542 := (iff #13478 #14541)
+#14539 := (iff #13475 #14538)
+#14536 := (iff #13470 #14535)
+#14533 := (iff #13462 #14530)
+#14527 := (or #14487 #14524 #13453)
+#14531 := (iff #14527 #14530)
+#14532 := [rewrite]: #14531
+#14528 := (iff #13462 #14527)
+#14525 := (iff #13353 #14524)
+#14522 := (iff #13350 #14519)
+#14504 := (or #13325 #14498)
+#14516 := (or #14504 #13347)
+#14520 := (iff #14516 #14519)
+#14521 := [rewrite]: #14520
+#14517 := (iff #13350 #14516)
+#14514 := (iff #13331 #14504)
+#14509 := (and true #14504)
+#14512 := (iff #14509 #14504)
+#14513 := [rewrite]: #14512
+#14510 := (iff #13331 #14509)
+#14507 := (iff #13328 #14504)
+#14501 := (or #14498 #13325)
+#14505 := (iff #14501 #14504)
+#14506 := [rewrite]: #14505
+#14502 := (iff #13328 #14501)
+#14499 := (iff #13267 #14498)
+#14496 := (iff #13262 #14493)
+#14490 := (and true #12113 #12116 #12119 #12122 #12910 #12913)
+#14494 := (iff #14490 #14493)
+#14495 := [rewrite]: #14494
+#14491 := (iff #13262 #14490)
+#14199 := (iff up_216 true)
+#10740 := [asserted]: up_216
+#14200 := [iff-true #10740]: #14199
+#14492 := [monotonicity #14200]: #14491
+#14497 := [trans #14492 #14495]: #14496
+#14500 := [monotonicity #14497]: #14499
+#14503 := [monotonicity #14500]: #14502
+#14508 := [trans #14503 #14506]: #14507
+#14511 := [monotonicity #14200 #14508]: #14510
+#14515 := [trans #14511 #14513]: #14514
+#14518 := [monotonicity #14515]: #14517
+#14523 := [trans #14518 #14521]: #14522
+#14526 := [monotonicity #14523]: #14525
+#14488 := (iff #12962 #14487)
+#14485 := (iff #12957 #14482)
+#14479 := (and #3195 #3196 #3197 #3198 #3199 #3200 true #12067 #12261 #12910 #12913)
+#14483 := (iff #14479 #14482)
+#14484 := [rewrite]: #14483
+#14480 := (iff #12957 #14479)
+#14453 := (iff #11903 true)
+#14454 := [iff-true #13537]: #14453
+#14481 := [monotonicity #14454]: #14480
+#14486 := [trans #14481 #14484]: #14485
+#14489 := [monotonicity #14486]: #14488
+#14529 := [monotonicity #14489 #14526]: #14528
+#14534 := [trans #14529 #14532]: #14533
+#14537 := [monotonicity #14534]: #14536
+#14540 := [monotonicity #14537]: #14539
+#14543 := [monotonicity #14540]: #14542
+#14546 := [monotonicity #14543]: #14545
+#14549 := [monotonicity #14546]: #14548
+#14552 := [monotonicity #14549]: #14551
+#14555 := [monotonicity #14552]: #14554
+#14558 := [monotonicity #14555]: #14557
+#14561 := [monotonicity #14558]: #14560
+#14564 := [monotonicity #14561]: #14563
+#14567 := [monotonicity #14564]: #14566
+#14570 := [monotonicity #14567]: #14569
+#13551 := [not-or-elim #13523]: #13550
+#14571 := [mp #13551 #14570]: #14568
+#15329 := [mp #14571 #15328]: #15326
+#17960 := [mp~ #15329 #17959]: #17957
+#17961 := [mp #17960 #18264]: #18262
+#21850 := [mp #17961 #21849]: #21847
+#22710 := [mp #21850 #22709]: #22707
+#28083 := [unit-resolution #22710 #26255]: #22704
+#23931 := (or #22701 #22695)
+#23932 := [def-axiom]: #23931
+#28084 := [unit-resolution #23932 #28083]: #22695
+decl uf_15 :: (-> T5 T6 T2)
+decl uf_16 :: (-> T4 T5 T6)
+#26003 := (uf_16 uf_287 #25399)
+#26479 := (uf_15 #26392 #26003)
+#26480 := (= uf_9 #26479)
+#26004 := (uf_15 #25399 #26003)
+#28108 := (= #26004 #26479)
+#28104 := (= #26479 #26004)
+#27888 := (= #26392 #25399)
+#27862 := (= #26392 #2981)
+#27860 := (= #26391 #2977)
+#27858 := (= #24110 uf_286)
+#24111 := (= uf_286 #24110)
+#1602 := (uf_143 #1358)
+#8264 := (= #161 #1602)
+#8267 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1592) #8264)
+#16571 := (~ #8267 #8267)
+#16569 := (~ #8264 #8264)
+#16570 := [refl]: #16569
+#16572 := [nnf-pos #16570]: #16571
+#1603 := (= #1602 #161)
+#1604 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1592) #1603)
+#8268 := (iff #1604 #8267)
+#8265 := (iff #1603 #8264)
+#8266 := [rewrite]: #8265
+#8269 := [quant-intro #8266]: #8268
+#8263 := [asserted]: #1604
+#8272 := [mp #8263 #8269]: #8267
+#16573 := [mp~ #8272 #16572]: #8267
+#24117 := (not #8267)
+#24118 := (or #24117 #24111)
+#24119 := [quant-inst]: #24118
+#27676 := [unit-resolution #24119 #16573]: #24111
+#27859 := [symm #27676]: #27858
+#27861 := [monotonicity #27656 #27859]: #27860
+#27863 := [monotonicity #27861]: #27862
+#27889 := [trans #27863 #27875]: #27888
+#28105 := [monotonicity #27889]: #28104
+#28109 := [symm #28105]: #28108
+#26005 := (= uf_9 #26004)
+decl uf_53 :: (-> T4 T5 T6)
+#25994 := (uf_53 uf_287 #25399)
+#25995 := (uf_15 #23 #25994)
+#26000 := (pattern #25995)
+decl up_197 :: (-> T3 bool)
+#25998 := (up_197 #25810)
+#25996 := (= uf_9 #25995)
+#25997 := (not #25996)
+decl uf_147 :: (-> T5 T6 T2)
+decl uf_192 :: (-> T7 T6)
+decl uf_11 :: (-> T4 T5 T7)
+#25990 := (uf_11 uf_287 #25399)
+#25991 := (uf_192 #25990)
+#25992 := (uf_147 #23 #25991)
+#25993 := (= uf_9 #25992)
+#26010 := (or #25993 #25997 #25998)
+#26013 := (forall (vars (?x577 T5)) (:pat #26000) #26010)
+#26016 := (not #26013)
+#26006 := (not #26005)
+#26019 := (or #25875 #26006 #26016)
+#26022 := (not #26019)
+#28086 := (= #3042 #25946)
+#28089 := [symm #26166]: #28086
+#28090 := [trans #26255 #28089]: #25947
+#25968 := (or #25967 #25945 #25963)
+#25965 := [def-axiom]: #25968
+#28091 := [unit-resolution #25965 #28090 #26163]: #25945
+#26025 := (or #25966 #26022)
+#14 := (:var 2 T4)
+#2166 := (uf_196 #14 #15 #23)
+#2228 := (pattern #2166)
+#2229 := (uf_53 #13 #21)
+#2230 := (uf_15 #23 #2229)
+#2231 := (pattern #2230)
+#2158 := (uf_11 #13 #15)
+#2236 := (uf_192 #2158)
+#2237 := (uf_147 #23 #2236)
+#10024 := (= uf_9 #2237)
+#10018 := (= uf_9 #2230)
+#21005 := (not #10018)
+#1382 := (uf_13 #21)
+#2232 := (up_197 #1382)
+#21020 := (or #2232 #21005 #10024)
+#21025 := (forall (vars (?x577 T5)) (:pat #2231) #21020)
+#21031 := (not #21025)
+#2145 := (uf_16 #14 #23)
+#2146 := (uf_15 #15 #2145)
+#9724 := (= uf_9 #2146)
+#20840 := (not #9724)
+#180 := (uf_27 #14 #15)
+#3718 := (= uf_9 #180)
+#10361 := (not #3718)
+#21032 := (or #10361 #20840 #21031)
+#21033 := (not #21032)
+#9772 := (= uf_9 #2166)
+#10048 := (not #9772)
+#21038 := (or #10048 #21033)
+#21041 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #21038)
+#2233 := (not #2232)
+#10021 := (and #2233 #10018)
+#10030 := (not #10021)
+#10031 := (or #10030 #10024)
+#10036 := (forall (vars (?x577 T5)) (:pat #2231) #10031)
+#10057 := (and #3718 #9724 #10036)
+#10060 := (or #10048 #10057)
+#10063 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #10060)
+#21042 := (iff #10063 #21041)
+#21039 := (iff #10060 #21038)
+#21036 := (iff #10057 #21033)
+#21028 := (and #3718 #9724 #21025)
+#21034 := (iff #21028 #21033)
+#21035 := [rewrite]: #21034
+#21029 := (iff #10057 #21028)
+#21026 := (iff #10036 #21025)
+#21023 := (iff #10031 #21020)
+#21006 := (or #2232 #21005)
+#21017 := (or #21006 #10024)
+#21021 := (iff #21017 #21020)
+#21022 := [rewrite]: #21021
+#21018 := (iff #10031 #21017)
+#21015 := (iff #10030 #21006)
+#21007 := (not #21006)
+#21010 := (not #21007)
+#21013 := (iff #21010 #21006)
+#21014 := [rewrite]: #21013
+#21011 := (iff #10030 #21010)
+#21008 := (iff #10021 #21007)
+#21009 := [rewrite]: #21008
+#21012 := [monotonicity #21009]: #21011
+#21016 := [trans #21012 #21014]: #21015
+#21019 := [monotonicity #21016]: #21018
+#21024 := [trans #21019 #21022]: #21023
+#21027 := [quant-intro #21024]: #21026
+#21030 := [monotonicity #21027]: #21029
+#21037 := [trans #21030 #21035]: #21036
+#21040 := [monotonicity #21037]: #21039
+#21043 := [quant-intro #21040]: #21042
+#17090 := (~ #10063 #10063)
+#17088 := (~ #10060 #10060)
+#17086 := (~ #10057 #10057)
+#17084 := (~ #10036 #10036)
+#17082 := (~ #10031 #10031)
+#17083 := [refl]: #17082
+#17085 := [nnf-pos #17083]: #17084
+#17080 := (~ #9724 #9724)
+#17081 := [refl]: #17080
+#17078 := (~ #3718 #3718)
+#17079 := [refl]: #17078
+#17087 := [monotonicity #17079 #17081 #17085]: #17086
+#17076 := (~ #10048 #10048)
+#17077 := [refl]: #17076
+#17089 := [monotonicity #17077 #17087]: #17088
+#17091 := [nnf-pos #17089]: #17090
+#2238 := (= #2237 uf_9)
+#2234 := (= #2230 uf_9)
+#2235 := (and #2233 #2234)
+#2239 := (implies #2235 #2238)
+#2240 := (forall (vars (?x577 T5)) (:pat #2231) #2239)
+#184 := (= #180 uf_9)
+#2241 := (and #184 #2240)
+#2151 := (= #2146 uf_9)
+#2242 := (and #2151 #2241)
+#2167 := (= #2166 uf_9)
+#2243 := (implies #2167 #2242)
+#2244 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #2243)
+#10066 := (iff #2244 #10063)
+#10039 := (and #3718 #10036)
+#10042 := (and #9724 #10039)
+#10049 := (or #10048 #10042)
+#10054 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #10049)
+#10064 := (iff #10054 #10063)
+#10061 := (iff #10049 #10060)
+#10058 := (iff #10042 #10057)
+#10059 := [rewrite]: #10058
+#10062 := [monotonicity #10059]: #10061
+#10065 := [quant-intro #10062]: #10064
+#10055 := (iff #2244 #10054)
+#10052 := (iff #2243 #10049)
+#10045 := (implies #9772 #10042)
+#10050 := (iff #10045 #10049)
+#10051 := [rewrite]: #10050
+#10046 := (iff #2243 #10045)
+#10043 := (iff #2242 #10042)
+#10040 := (iff #2241 #10039)
+#10037 := (iff #2240 #10036)
+#10034 := (iff #2239 #10031)
+#10027 := (implies #10021 #10024)
+#10032 := (iff #10027 #10031)
+#10033 := [rewrite]: #10032
+#10028 := (iff #2239 #10027)
+#10025 := (iff #2238 #10024)
+#10026 := [rewrite]: #10025
+#10022 := (iff #2235 #10021)
+#10019 := (iff #2234 #10018)
+#10020 := [rewrite]: #10019
+#10023 := [monotonicity #10020]: #10022
+#10029 := [monotonicity #10023 #10026]: #10028
+#10035 := [trans #10029 #10033]: #10034
+#10038 := [quant-intro #10035]: #10037
+#3719 := (iff #184 #3718)
+#3720 := [rewrite]: #3719
+#10041 := [monotonicity #3720 #10038]: #10040
+#9725 := (iff #2151 #9724)
+#9726 := [rewrite]: #9725
+#10044 := [monotonicity #9726 #10041]: #10043
+#9773 := (iff #2167 #9772)
+#9774 := [rewrite]: #9773
+#10047 := [monotonicity #9774 #10044]: #10046
+#10053 := [trans #10047 #10051]: #10052
+#10056 := [quant-intro #10053]: #10055
+#10067 := [trans #10056 #10065]: #10066
+#10017 := [asserted]: #2244
+#10068 := [mp #10017 #10067]: #10063
+#17092 := [mp~ #10068 #17091]: #10063
+#21044 := [mp #17092 #21043]: #21041
+#25985 := (not #21041)
+#25981 := (or #25985 #25966 #26022)
+#25999 := (or #25998 #25997 #25993)
+#26001 := (forall (vars (?x577 T5)) (:pat #26000) #25999)
+#26002 := (not #26001)
+#26007 := (or #25875 #26006 #26002)
+#26008 := (not #26007)
+#26009 := (or #25966 #26008)
+#25982 := (or #25985 #26009)
+#26075 := (iff #25982 #25981)
+#25987 := (or #25985 #26025)
+#26040 := (iff #25987 #25981)
+#26072 := [rewrite]: #26040
+#25988 := (iff #25982 #25987)
+#26026 := (iff #26009 #26025)
+#26023 := (iff #26008 #26022)
+#26020 := (iff #26007 #26019)
+#26017 := (iff #26002 #26016)
+#26014 := (iff #26001 #26013)
+#26011 := (iff #25999 #26010)
+#26012 := [rewrite]: #26011
+#26015 := [quant-intro #26012]: #26014
+#26018 := [monotonicity #26015]: #26017
+#26021 := [monotonicity #26018]: #26020
+#26024 := [monotonicity #26021]: #26023
+#26027 := [monotonicity #26024]: #26026
+#25989 := [monotonicity #26027]: #25988
+#26076 := [trans #25989 #26072]: #26075
+#25986 := [quant-inst]: #25982
+#26071 := [mp #25986 #26076]: #25981
+#28092 := [unit-resolution #26071 #21044]: #26025
+#28093 := [unit-resolution #28092 #28091]: #26022
+#26074 := (or #26019 #26005)
+#26078 := [def-axiom]: #26074
+#28094 := [unit-resolution #26078 #28093]: #26005
+#28088 := [trans #28094 #28109]: #26480
+#26481 := (not #26480)
+#26516 := (or #11973 #26481)
+#26470 := (uf_66 #26469 0::int #24108)
+#26474 := (uf_24 uf_287 #26470)
+#26475 := (= uf_9 #26474)
+#26476 := (not #26475)
+#26451 := (iff #17634 #26476)
+#26449 := (iff #11973 #26475)
+#26446 := (iff #26475 #11973)
+#26467 := (= #26474 #3047)
+#26465 := (= #26470 #3044)
+#26466 := [monotonicity #27663 #27656]: #26465
+#26468 := [monotonicity #26466]: #26467
+#26448 := [monotonicity #26468]: #26446
+#26450 := [symm #26448]: #26449
+#26452 := [monotonicity #26450]: #26451
+#26464 := [hypothesis]: #17634
+#26447 := [mp #26464 #26452]: #26476
+#26471 := (uf_58 #3175 #26470)
+#26472 := (uf_136 #26471)
+#26473 := (= uf_9 #26472)
+#26486 := (or #26473 #26476)
+#26489 := (not #26486)
+decl uf_22 :: (-> T3 T2)
+#26482 := (uf_22 #24108)
+#26483 := (= uf_9 #26482)
+#2783 := (uf_22 uf_7)
+#27694 := (= #2783 #26482)
+#27691 := (= #26482 #2783)
+#27692 := [monotonicity #27656]: #27691
+#27695 := [symm #27692]: #27694
+#11384 := (= uf_9 #2783)
+#2784 := (= #2783 uf_9)
+#11386 := (iff #2784 #11384)
+#11387 := [rewrite]: #11386
+#11383 := [asserted]: #2784
+#11390 := [mp #11383 #11387]: #11384
+#27696 := [trans #11390 #27695]: #26483
+#26484 := (not #26483)
+#26512 := (or #26484 #26489)
+#27697 := [hypothesis]: #26480
+#26427 := (<= #24110 0::int)
+#26454 := (not #26427)
+#13542 := [and-elim #13524]: #12741
+#26410 := (* -1::int #24110)
+#26519 := (+ uf_286 #26410)
+#26520 := (<= #26519 0::int)
+#27677 := (not #24111)
+#27678 := (or #27677 #26520)
+#27679 := [th-lemma]: #27678
+#27680 := [unit-resolution #27679 #27676]: #26520
+#27686 := (not #26520)
+#26455 := (or #26454 #12740 #27686)
+#26456 := [th-lemma]: #26455
+#26457 := [unit-resolution #26456 #27680 #13542]: #26454
+#237 := (uf_22 #233)
+#762 := (:var 4 int)
+#2069 := (uf_43 #233 #762)
+#2070 := (uf_66 #2069 #247 #233)
+#1373 := (:var 5 T4)
+#2086 := (uf_25 #1373 #2070)
+#1365 := (:var 3 T5)
+#2067 := (uf_16 #1373 #1365)
+#268 := (:var 2 int)
+#2065 := (uf_124 #233 #268)
+#2066 := (uf_43 #2065 #762)
+#2068 := (uf_15 #2066 #2067)
+#2087 := (pattern #2068 #2086 #237)
+#1545 := (uf_59 #1373)
+#2084 := (uf_58 #1545 #2070)
+#2085 := (pattern #2068 #2084 #237)
+#2090 := (uf_136 #2084)
+#9532 := (= uf_9 #2090)
+#2088 := (uf_24 #1373 #2070)
+#9529 := (= uf_9 #2088)
+#20750 := (not #9529)
+#20751 := (or #20750 #9532)
+#20752 := (not #20751)
+#9473 := (= uf_9 #2068)
+#20726 := (not #9473)
+#2073 := (uf_55 #1373)
+#9470 := (= uf_9 #2073)
+#20725 := (not #9470)
+#4045 := (* -1::int #268)
+#6109 := (+ #247 #4045)
+#6706 := (>= #6109 0::int)
+#4307 := (>= #247 0::int)
+#18663 := (not #4307)
+#3926 := (= uf_9 #237)
+#10244 := (not #3926)
+#20758 := (or #10244 #18663 #6706 #20725 #20726 #20752)
+#20763 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #20758)
+#9535 := (not #9532)
+#9538 := (and #9529 #9535)
+#7773 := (not #6706)
+#9511 := (and #3926 #4307 #7773 #9470 #9473)
+#9516 := (not #9511)
+#9552 := (or #9516 #9538)
+#9555 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #9552)
+#20764 := (iff #9555 #20763)
+#20761 := (iff #9552 #20758)
+#20727 := (or #10244 #18663 #6706 #20725 #20726)
+#20755 := (or #20727 #20752)
+#20759 := (iff #20755 #20758)
+#20760 := [rewrite]: #20759
+#20756 := (iff #9552 #20755)
+#20753 := (iff #9538 #20752)
+#20754 := [rewrite]: #20753
+#20736 := (iff #9516 #20727)
+#20728 := (not #20727)
+#20731 := (not #20728)
+#20734 := (iff #20731 #20727)
+#20735 := [rewrite]: #20734
+#20732 := (iff #9516 #20731)
+#20729 := (iff #9511 #20728)
+#20730 := [rewrite]: #20729
+#20733 := [monotonicity #20730]: #20732
+#20737 := [trans #20733 #20735]: #20736
+#20757 := [monotonicity #20737 #20754]: #20756
+#20762 := [trans #20757 #20760]: #20761
+#20765 := [quant-intro #20762]: #20764
+#16956 := (~ #9555 #9555)
+#16954 := (~ #9552 #9552)
+#16955 := [refl]: #16954
+#16957 := [nnf-pos #16955]: #16956
+#2091 := (= #2090 uf_9)
+#2092 := (not #2091)
+#2089 := (= #2088 uf_9)
+#2093 := (and #2089 #2092)
+#1434 := (< #247 #268)
+#397 := (<= 0::int #247)
+#1435 := (and #397 #1434)
+#2075 := (= #2068 uf_9)
+#2076 := (and #2075 #1435)
+#238 := (= #237 uf_9)
+#2077 := (and #238 #2076)
+#2074 := (= #2073 uf_9)
+#2078 := (and #2074 #2077)
+#2094 := (implies #2078 #2093)
+#2095 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #2094)
+#9558 := (iff #2095 #9555)
+#9479 := (and #1435 #9473)
+#9484 := (and #3926 #9479)
+#9487 := (and #9470 #9484)
+#9493 := (not #9487)
+#9544 := (or #9493 #9538)
+#9549 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #9544)
+#9556 := (iff #9549 #9555)
+#9553 := (iff #9544 #9552)
+#9517 := (iff #9493 #9516)
+#9514 := (iff #9487 #9511)
+#7776 := (and #4307 #7773)
+#9502 := (and #7776 #9473)
+#9505 := (and #3926 #9502)
+#9508 := (and #9470 #9505)
+#9512 := (iff #9508 #9511)
+#9513 := [rewrite]: #9512
+#9509 := (iff #9487 #9508)
+#9506 := (iff #9484 #9505)
+#9503 := (iff #9479 #9502)
+#7777 := (iff #1435 #7776)
+#7774 := (iff #1434 #7773)
+#7775 := [rewrite]: #7774
+#4306 := (iff #397 #4307)
+#4308 := [rewrite]: #4306
+#7778 := [monotonicity #4308 #7775]: #7777
+#9504 := [monotonicity #7778]: #9503
+#9507 := [monotonicity #9504]: #9506
+#9510 := [monotonicity #9507]: #9509
+#9515 := [trans #9510 #9513]: #9514
+#9518 := [monotonicity #9515]: #9517
+#9554 := [monotonicity #9518]: #9553
+#9557 := [quant-intro #9554]: #9556
+#9550 := (iff #2095 #9549)
+#9547 := (iff #2094 #9544)
+#9541 := (implies #9487 #9538)
+#9545 := (iff #9541 #9544)
+#9546 := [rewrite]: #9545
+#9542 := (iff #2094 #9541)
+#9539 := (iff #2093 #9538)
+#9536 := (iff #2092 #9535)
+#9533 := (iff #2091 #9532)
+#9534 := [rewrite]: #9533
+#9537 := [monotonicity #9534]: #9536
+#9530 := (iff #2089 #9529)
+#9531 := [rewrite]: #9530
+#9540 := [monotonicity #9531 #9537]: #9539
+#9488 := (iff #2078 #9487)
+#9485 := (iff #2077 #9484)
+#9482 := (iff #2076 #9479)
+#9476 := (and #9473 #1435)
+#9480 := (iff #9476 #9479)
+#9481 := [rewrite]: #9480
+#9477 := (iff #2076 #9476)
+#9474 := (iff #2075 #9473)
+#9475 := [rewrite]: #9474
+#9478 := [monotonicity #9475]: #9477
+#9483 := [trans #9478 #9481]: #9482
+#3927 := (iff #238 #3926)
+#3928 := [rewrite]: #3927
+#9486 := [monotonicity #3928 #9483]: #9485
+#9471 := (iff #2074 #9470)
+#9472 := [rewrite]: #9471
+#9489 := [monotonicity #9472 #9486]: #9488
+#9543 := [monotonicity #9489 #9540]: #9542
+#9548 := [trans #9543 #9546]: #9547
+#9551 := [quant-intro #9548]: #9550
+#9559 := [trans #9551 #9557]: #9558
+#9528 := [asserted]: #2095
+#9560 := [mp #9528 #9559]: #9555
+#16958 := [mp~ #9560 #16957]: #9555
+#20766 := [mp #16958 #20765]: #20763
+#26500 := (not #20763)
+#26360 := (or #26500 #23948 #26427 #26481 #26484 #26489)
+#26477 := (or #26476 #26473)
+#26478 := (not #26477)
+#26411 := (+ 0::int #26410)
+#26412 := (>= #26411 0::int)
+#26413 := (>= 0::int 0::int)
+#26414 := (not #26413)
+#26485 := (or #26484 #26414 #26412 #23948 #26481 #26478)
+#26361 := (or #26500 #26485)
+#26382 := (iff #26361 #26360)
+#26495 := (or #23948 #26427 #26481 #26484 #26489)
+#26378 := (or #26500 #26495)
+#26380 := (iff #26378 #26360)
+#26381 := [rewrite]: #26380
+#26379 := (iff #26361 #26378)
+#26498 := (iff #26485 #26495)
+#26492 := (or #26484 false #26427 #23948 #26481 #26489)
+#26496 := (iff #26492 #26495)
+#26497 := [rewrite]: #26496
+#26493 := (iff #26485 #26492)
+#26490 := (iff #26478 #26489)
+#26487 := (iff #26477 #26486)
+#26488 := [rewrite]: #26487
+#26491 := [monotonicity #26488]: #26490
+#26430 := (iff #26412 #26427)
+#26424 := (>= #26410 0::int)
+#26428 := (iff #26424 #26427)
+#26429 := [rewrite]: #26428
+#26425 := (iff #26412 #26424)
+#26422 := (= #26411 #26410)
+#26423 := [rewrite]: #26422
+#26426 := [monotonicity #26423]: #26425
+#26431 := [trans #26426 #26429]: #26430
+#26420 := (iff #26414 false)
+#26418 := (iff #26414 #3112)
+#26416 := (iff #26413 true)
+#26417 := [rewrite]: #26416
+#26419 := [monotonicity #26417]: #26418
+#26421 := [trans #26419 #12066]: #26420
+#26494 := [monotonicity #26421 #26431 #26491]: #26493
+#26499 := [trans #26494 #26497]: #26498
+#26377 := [monotonicity #26499]: #26379
+#26383 := [trans #26377 #26381]: #26382
+#26362 := [quant-inst]: #26361
+#26384 := [mp #26362 #26383]: #26360
+#26513 := [unit-resolution #26384 #20766 #13537 #26457 #27697]: #26512
+#26514 := [unit-resolution #26513 #27696]: #26489
+#26460 := (or #26486 #26475)
+#26461 := [def-axiom]: #26460
+#26515 := [unit-resolution #26461 #26514 #26447]: false
+#26517 := [lemma #26515]: #26516
+#28095 := [unit-resolution #26517 #28088]: #11973
+#23927 := (or #22698 #17631 #17634 #22692)
+#23928 := [def-axiom]: #23927
+#28097 := [unit-resolution #23928 #28095 #28084]: #28096
+#28098 := [unit-resolution #28097 #26648]: #22692
+#23917 := (or #22689 #22683)
+#23918 := [def-axiom]: #23917
+#28087 := [unit-resolution #23918 #28098]: #22683
+#26562 := (not #26473)
+#28100 := [unit-resolution #26384 #20766 #13537 #26457 #28088]: #26512
+#28101 := [unit-resolution #28100 #27696]: #26489
+#27944 := (or #26486 #26562)
+#27945 := [def-axiom]: #27944
+#28102 := [unit-resolution #27945 #28101]: #26562
+#28103 := (or #11979 #26473)
+#27942 := (or #11979 #26473 #17634)
+#26742 := (uf_58 #3175 #23935)
+#26748 := (uf_135 #26742)
+#26751 := (uf_25 uf_287 #26748)
+#26752 := (= uf_26 #26751)
+#26749 := (uf_210 uf_287 #26748)
+#26750 := (= uf_9 #26749)
+#27416 := (or #26750 #26752)
+#27420 := (not #27416)
+#26775 := (uf_12 #26369)
+#26938 := (= uf_14 #26775)
+#27415 := (not #26938)
+#26755 := (uf_13 #26748)
+#26756 := (uf_12 #26755)
+#26757 := (= uf_14 #26756)
+#26758 := (uf_27 uf_287 #26748)
+#26753 := (= uf_9 #26758)
+#26743 := (not #26753)
+#26744 := (uf_136 #26742)
+#26745 := (= uf_9 #26744)
+#26746 := (not #26745)
+#26747 := (or #26746 #26743)
+#26774 := (not #26747)
+#27536 := (or #26774 #26757 #27415 #27420)
+#27005 := (not #27536)
+#26817 := (uf_210 uf_287 #23935)
+#26862 := (= uf_9 #26817)
+#26863 := (uf_25 uf_287 #23935)
+#26810 := (= uf_26 #26863)
+#26811 := (or #26810 #26862)
+#26809 := (not #26811)
+#26987 := (or #26809 #26938)
+#27412 := (not #26987)
+#27012 := (or #27412 #27005)
+#27030 := (not #27012)
+#26867 := (uf_24 uf_287 #23935)
+#26988 := (= uf_9 #26867)
+#27804 := (= #3047 #26867)
+#27801 := (= #26867 #3047)
+#27799 := (= #23935 #3044)
+#27793 := (= #26311 #3044)
+#27794 := [symm #27788]: #27793
+#27797 := (= #23935 #26311)
+#27791 := (= #26333 #26311)
+#27792 := [symm #27786]: #27791
+#27798 := [trans #27796 #27792]: #27797
+#27800 := [trans #27798 #27794]: #27799
+#27802 := [monotonicity #27800]: #27801
+#27805 := [symm #27802]: #27804
+#27782 := [hypothesis]: #11973
+#27806 := [trans #27782 #27805]: #26988
+#26989 := (not #26988)
+#27033 := (or #26989 #27030)
+#27035 := (not #27033)
+#26992 := (uf_68 uf_287 #23935)
+#26997 := (= uf_9 #26992)
+#27541 := (iff #26997 #27035)
 #2381 := (uf_68 #47 #23)
 #2382 := (pattern #2381)
 #282 := (uf_59 #47)
 #2384 := (uf_58 #282 #23)
 #2388 := (uf_135 #2384)
 #2399 := (uf_210 #47 #2388)
-#10507 := (= uf_9 #2399)
+#10478 := (= uf_9 #2399)
 #2397 := (uf_25 #47 #2388)
-#10504 := (= uf_26 #2397)
-#10510 := (or #10504 #10507)
-#21963 := (not #10510)
+#10475 := (= uf_26 #2397)
+#10481 := (or #10475 #10478)
+#21152 := (not #10481)
 #2393 := (uf_13 #2388)
 #2394 := (uf_12 #2393)
-#10498 := (= uf_14 #2394)
+#10469 := (= uf_14 #2394)
 #2389 := (uf_27 #47 #2388)
-#10489 := (= uf_9 #2389)
-#10492 := (not #10489)
+#10460 := (= uf_9 #2389)
+#10463 := (not #10460)
 #2385 := (uf_136 #2384)
-#10483 := (= uf_9 #2385)
-#10486 := (not #10483)
-#10495 := (or #10486 #10492)
-#21962 := (not #10495)
-#26 := (uf_13 #23)
-#27 := (uf_12 #26)
-#29 := (= #27 uf_14)
-#52 := (not #29)
-#21964 := (or #52 #21962 #10498 #21963)
-#21965 := (not #21964)
+#10454 := (= uf_9 #2385)
+#10457 := (not #10454)
+#10466 := (or #10457 #10463)
+#21151 := (not #10466)
+#21153 := (or #52 #21151 #10469 #21152)
+#21154 := (not #21153)
 #2405 := (uf_210 #47 #23)
-#10522 := (= uf_9 #2405)
-#142 := (uf_25 #47 #23)
-#3644 := (= uf_26 #142)
-#10525 := (or #3644 #10522)
-#21957 := (not #10525)
-#21958 := (or #29 #21957)
-#21959 := (not #21958)
-#21968 := (or #21959 #21965)
-#21974 := (not #21968)
-#146 := (uf_24 #47 #23)
-#3650 := (= uf_9 #146)
-#11095 := (not #3650)
-#21975 := (or #11095 #21974)
-#21976 := (not #21975)
-#10479 := (= uf_9 #2381)
-#21981 := (iff #10479 #21976)
-#21984 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #21981)
-#10501 := (not #10498)
-#10543 := (and #29 #10495 #10501 #10510)
-#10528 := (and #52 #10525)
-#10549 := (or #10528 #10543)
-#10554 := (and #3650 #10549)
-#10557 := (iff #10479 #10554)
-#10560 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #10557)
-#21985 := (iff #10560 #21984)
-#21982 := (iff #10557 #21981)
-#21979 := (iff #10554 #21976)
-#21971 := (and #3650 #21968)
-#21977 := (iff #21971 #21976)
-#21978 := [rewrite]: #21977
-#21972 := (iff #10554 #21971)
-#21969 := (iff #10549 #21968)
-#21966 := (iff #10543 #21965)
-#21967 := [rewrite]: #21966
-#21960 := (iff #10528 #21959)
-#21961 := [rewrite]: #21960
-#21970 := [monotonicity #21961 #21967]: #21969
-#21973 := [monotonicity #21970]: #21972
-#21980 := [trans #21973 #21978]: #21979
-#21983 := [monotonicity #21980]: #21982
-#21986 := [quant-intro #21983]: #21985
-#17907 := (~ #10560 #10560)
-#17905 := (~ #10557 #10557)
-#17906 := [refl]: #17905
-#17908 := [nnf-pos #17906]: #17907
+#10493 := (= uf_9 #2405)
+#10496 := (or #3615 #10493)
+#21146 := (not #10496)
+#21147 := (or #29 #21146)
+#21148 := (not #21147)
+#21157 := (or #21148 #21154)
+#21163 := (not #21157)
+#21164 := (or #11066 #21163)
+#21165 := (not #21164)
+#10450 := (= uf_9 #2381)
+#21170 := (iff #10450 #21165)
+#21173 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #21170)
+#10472 := (not #10469)
+#10514 := (and #29 #10466 #10472 #10481)
+#10499 := (and #52 #10496)
+#10520 := (or #10499 #10514)
+#10525 := (and #3621 #10520)
+#10528 := (iff #10450 #10525)
+#10531 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #10528)
+#21174 := (iff #10531 #21173)
+#21171 := (iff #10528 #21170)
+#21168 := (iff #10525 #21165)
+#21160 := (and #3621 #21157)
+#21166 := (iff #21160 #21165)
+#21167 := [rewrite]: #21166
+#21161 := (iff #10525 #21160)
+#21158 := (iff #10520 #21157)
+#21155 := (iff #10514 #21154)
+#21156 := [rewrite]: #21155
+#21149 := (iff #10499 #21148)
+#21150 := [rewrite]: #21149
+#21159 := [monotonicity #21150 #21156]: #21158
+#21162 := [monotonicity #21159]: #21161
+#21169 := [trans #21162 #21167]: #21168
+#21172 := [monotonicity #21169]: #21171
+#21175 := [quant-intro #21172]: #21174
+#17195 := (~ #10531 #10531)
+#17193 := (~ #10528 #10528)
+#17194 := [refl]: #17193
+#17196 := [nnf-pos #17194]: #17195
 #2406 := (= #2405 uf_9)
-#143 := (= #142 uf_26)
 #2407 := (or #143 #2406)
 #2408 := (and #52 #2407)
 #2400 := (= #2399 uf_9)
 #2398 := (= #2397 uf_26)
 #2401 := (or #2398 #2400)

 #2387 := (not #2386)
 #2392 := (or #2387 #2391)
 #2403 := (and #2392 #2402)
 #2404 := (and #29 #2403)
 #2409 := (or #2404 #2408)
-#147 := (= #146 uf_9)
 #2410 := (and #147 #2409)
 #2383 := (= #2381 uf_9)
 #2411 := (iff #2383 #2410)
 #2412 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #2411)
-#10563 := (iff #2412 #10560)
-#10513 := (and #10501 #10510)
-#10516 := (and #10495 #10513)
-#10519 := (and #29 #10516)
-#10531 := (or #10519 #10528)
-#10534 := (and #3650 #10531)
-#10537 := (iff #10479 #10534)
-#10540 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #10537)
-#10561 := (iff #10540 #10560)
-#10558 := (iff #10537 #10557)
-#10555 := (iff #10534 #10554)
-#10552 := (iff #10531 #10549)
-#10546 := (or #10543 #10528)
-#10550 := (iff #10546 #10549)
-#10551 := [rewrite]: #10550
-#10547 := (iff #10531 #10546)
-#10544 := (iff #10519 #10543)
-#10545 := [rewrite]: #10544
-#10548 := [monotonicity #10545]: #10547
-#10553 := [trans #10548 #10551]: #10552
-#10556 := [monotonicity #10553]: #10555
-#10559 := [monotonicity #10556]: #10558
-#10562 := [quant-intro #10559]: #10561
-#10541 := (iff #2412 #10540)
-#10538 := (iff #2411 #10537)
-#10535 := (iff #2410 #10534)
-#10532 := (iff #2409 #10531)
-#10529 := (iff #2408 #10528)
-#10526 := (iff #2407 #10525)
-#10523 := (iff #2406 #10522)
-#10524 := [rewrite]: #10523
-#3645 := (iff #143 #3644)
-#3646 := [rewrite]: #3645
-#10527 := [monotonicity #3646 #10524]: #10526
+#10534 := (iff #2412 #10531)
+#10484 := (and #10472 #10481)
+#10487 := (and #10466 #10484)
+#10490 := (and #29 #10487)
+#10502 := (or #10490 #10499)
+#10505 := (and #3621 #10502)
+#10508 := (iff #10450 #10505)
+#10511 := (forall (vars (?x632 T4) (?x633 T5)) (:pat #2382) #10508)
+#10532 := (iff #10511 #10531)
+#10529 := (iff #10508 #10528)
+#10526 := (iff #10505 #10525)
+#10523 := (iff #10502 #10520)
+#10517 := (or #10514 #10499)
+#10521 := (iff #10517 #10520)
+#10522 := [rewrite]: #10521
+#10518 := (iff #10502 #10517)
+#10515 := (iff #10490 #10514)
+#10516 := [rewrite]: #10515
+#10519 := [monotonicity #10516]: #10518
+#10524 := [trans #10519 #10522]: #10523
+#10527 := [monotonicity #10524]: #10526
 #10530 := [monotonicity #10527]: #10529
-#10520 := (iff #2404 #10519)
-#10517 := (iff #2403 #10516)
-#10514 := (iff #2402 #10513)
-#10511 := (iff #2401 #10510)
-#10508 := (iff #2400 #10507)
-#10509 := [rewrite]: #10508
-#10505 := (iff #2398 #10504)
-#10506 := [rewrite]: #10505
-#10512 := [monotonicity #10506 #10509]: #10511
-#10502 := (iff #2396 #10501)
-#10499 := (iff #2395 #10498)
-#10500 := [rewrite]: #10499
-#10503 := [monotonicity #10500]: #10502
-#10515 := [monotonicity #10503 #10512]: #10514
-#10496 := (iff #2392 #10495)
-#10493 := (iff #2391 #10492)
-#10490 := (iff #2390 #10489)
-#10491 := [rewrite]: #10490
-#10494 := [monotonicity #10491]: #10493
-#10487 := (iff #2387 #10486)
-#10484 := (iff #2386 #10483)
-#10485 := [rewrite]: #10484
-#10488 := [monotonicity #10485]: #10487
-#10497 := [monotonicity #10488 #10494]: #10496
-#10518 := [monotonicity #10497 #10515]: #10517
-#10521 := [monotonicity #10518]: #10520
-#10533 := [monotonicity #10521 #10530]: #10532
-#3651 := (iff #147 #3650)
-#3652 := [rewrite]: #3651
-#10536 := [monotonicity #3652 #10533]: #10535
-#10481 := (iff #2383 #10479)
-#10482 := [rewrite]: #10481
-#10539 := [monotonicity #10482 #10536]: #10538
-#10542 := [quant-intro #10539]: #10541
-#10564 := [trans #10542 #10562]: #10563
-#10478 := [asserted]: #2412
-#10565 := [mp #10478 #10564]: #10560
-#17909 := [mp~ #10565 #17908]: #10560
-#21987 := [mp #17909 #21986]: #21984
-#27470 := (not #21984)
-#30070 := (or #27470 #29389)
-#29305 := (or #29304 #29302)
-#29306 := (not #29305)
-#29316 := (or #29315 #29312)
-#29317 := (not #29316)
-#29319 := (= #29318 uf_14)
-#29320 := (not #29319)
-#29321 := (or #29320 #29317 #29309 #29306)
-#29322 := (not #29321)
-#29327 := (or #29326 #29324)
-#29328 := (not #29327)
-#29329 := (or #29319 #29328)
-#29330 := (not #29329)
-#29331 := (or #29330 #29322)
-#29332 := (not #29331)
-#29333 := (or #18452 #29332)
-#29334 := (not #29333)
-#29335 := (iff #12378 #29334)
-#30071 := (or #27470 #29335)
-#30073 := (iff #30071 #30070)
-#29901 := (iff #30070 #30070)
-#29902 := [rewrite]: #29901
-#29390 := (iff #29335 #29389)
-#29387 := (iff #29334 #29386)
-#29384 := (iff #29333 #29383)
-#29381 := (iff #29332 #29380)
-#29378 := (iff #29331 #29377)
-#29375 := (iff #29322 #29374)
-#29372 := (iff #29321 #29369)
-#29366 := (or #29351 #29357 #29309 #29363)
-#29370 := (iff #29366 #29369)
-#29371 := [rewrite]: #29370
-#29367 := (iff #29321 #29366)
-#29364 := (iff #29306 #29363)
-#29361 := (iff #29305 #29360)
-#29362 := [rewrite]: #29361
-#29365 := [monotonicity #29362]: #29364
-#29358 := (iff #29317 #29357)
-#29355 := (iff #29316 #29354)
-#29356 := [rewrite]: #29355
-#29359 := [monotonicity #29356]: #29358
-#29352 := (iff #29320 #29351)
-#29337 := (iff #29319 #29336)
-#29338 := [rewrite]: #29337
-#29353 := [monotonicity #29338]: #29352
-#29368 := [monotonicity #29353 #29359 #29365]: #29367
-#29373 := [trans #29368 #29371]: #29372
-#29376 := [monotonicity #29373]: #29375
-#29349 := (iff #29330 #29348)
-#29346 := (iff #29329 #29345)
-#29343 := (iff #29328 #29342)
-#29340 := (iff #29327 #29339)
-#29341 := [rewrite]: #29340
-#29344 := [monotonicity #29341]: #29343
-#29347 := [monotonicity #29338 #29344]: #29346
-#29350 := [monotonicity #29347]: #29349
-#29379 := [monotonicity #29350 #29376]: #29378
-#29382 := [monotonicity #29379]: #29381
-#29385 := [monotonicity #29382]: #29384
-#29388 := [monotonicity #29385]: #29387
-#29391 := [monotonicity #29388]: #29390
-#29900 := [monotonicity #29391]: #30073
-#29885 := [trans #29900 #29902]: #30073
-#30072 := [quant-inst]: #30071
-#29886 := [mp #30072 #29885]: #30070
-#30190 := [unit-resolution #29886 #21987 #30156]: false
-#30191 := [lemma #30190]: #29389
-#30791 := (or #29961 #12378)
-#30058 := [hypothesis]: #29369
-decl uf_116 :: (-> T5 int)
-#2980 := (uf_116 #2979)
-decl uf_124 :: (-> T3 int T3)
-#2977 := (uf_124 uf_7 uf_286)
-#2981 := (uf_43 #2977 #2980)
-#2984 := (uf_25 uf_287 #2981)
-#30109 := (= #2984 #29303)
-#30110 := (= #29303 #2984)
-#30604 := (= #29300 #2981)
-decl uf_143 :: (-> T3 int)
-#24856 := (uf_143 #2977)
-decl uf_144 :: (-> T3 T3)
-#24854 := (uf_144 #2977)
-#27136 := (uf_124 #24854 #24856)
-#27137 := (uf_43 #27136 #2980)
-#28502 := (= #27137 #2981)
-#28500 := (= #27136 #2977)
-#28498 := (= #24856 uf_286)
-#24857 := (= uf_286 #24856)
-#326 := (:var 1 T3)
-#1358 := (uf_124 #326 #161)
-#1592 := (pattern #1358)
-#1602 := (uf_143 #1358)
-#8293 := (= #161 #1602)
-#8296 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1592) #8293)
-#17283 := (~ #8296 #8296)
-#17281 := (~ #8293 #8293)
-#17282 := [refl]: #17281
-#17284 := [nnf-pos #17282]: #17283
-#1603 := (= #1602 #161)
-#1604 := (forall (vars (?x386 T3) (?x387 int)) (:pat #1592) #1603)
-#8297 := (iff #1604 #8296)
-#8294 := (iff #1603 #8293)
-#8295 := [rewrite]: #8294
-#8298 := [quant-intro #8295]: #8297
-#8292 := [asserted]: #1604
-#8301 := [mp #8292 #8298]: #8296
-#17285 := [mp~ #8301 #17284]: #8296
-#24863 := (not #8296)
-#24864 := (or #24863 #24857)
-#24865 := [quant-inst]: #24864
-#28421 := [unit-resolution #24865 #17285]: #24857
-#28499 := [symm #28421]: #28498
-#28400 := (= #24854 uf_7)
-#24855 := (= uf_7 #24854)
-#1605 := (uf_144 #1358)
-#8300 := (= #326 #1605)
-#8304 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1592) #8300)
-#17288 := (~ #8304 #8304)
-#17286 := (~ #8300 #8300)
-#17287 := [refl]: #17286
-#17289 := [nnf-pos #17287]: #17288
-#1606 := (= #1605 #326)
-#1607 := (forall (vars (?x388 T3) (?x389 int)) (:pat #1592) #1606)
-#8305 := (iff #1607 #8304)
-#8302 := (iff #1606 #8300)
-#8303 := [rewrite]: #8302
-#8306 := [quant-intro #8303]: #8305
-#8299 := [asserted]: #1607
-#8309 := [mp #8299 #8306]: #8304
-#17290 := [mp~ #8309 #17289]: #8304
-#24858 := (not #8304)
-#24859 := (or #24858 #24855)
-#24860 := [quant-inst]: #24859
-#28399 := [unit-resolution #24860 #17290]: #24855
-#28401 := [symm #28399]: #28400
-#28501 := [monotonicity #28401 #28499]: #28500
-#28503 := [monotonicity #28501]: #28502
-#30602 := (= #29300 #27137)
-decl uf_125 :: (-> T5 T5 int)
-decl uf_28 :: (-> int T5)
-decl uf_29 :: (-> T5 int)
-#3013 := (uf_29 #2979)
-#24681 := (uf_28 #3013)
-#27114 := (uf_13 #24681)
-#29133 := (uf_66 #24681 uf_298 #27114)
-#29134 := (uf_125 #29133 #24681)
-#29158 := (uf_66 #27137 #29134 #24854)
-#29162 := (uf_58 #3157 #29158)
-#29165 := (uf_135 #29162)
-#30601 := (= #29165 #27137)
-#29166 := (= #27137 #29165)
-decl up_67 :: (-> T14 bool)
-#29168 := (up_67 #29162)
-#29169 := (not #29168)
-#29167 := (not #29166)
-#29163 := (uf_136 #29162)
-#29164 := (= uf_9 #29163)
-#29159 := (uf_24 uf_287 #29158)
-#29160 := (= uf_9 #29159)
-#29161 := (not #29160)
-#29190 := (or #29161 #29164 #29167 #29169)
-#29193 := (not #29190)
-#29183 := (* -1::int #29134)
-#29184 := (+ #24856 #29183)
-#29185 := (<= #29184 0::int)
-#30532 := (not #29185)
-#29293 := (+ uf_298 #29183)
-#29295 := (>= #29293 0::int)
-#29135 := (= uf_298 #29134)
-#15 := (:var 1 T5)
-#1390 := (uf_13 #15)
-#1391 := (uf_66 #15 #161 #1390)
-#1392 := (pattern #1391)
-#1393 := (uf_125 #1391 #15)
-#7692 := (= #161 #1393)
-#7696 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1392) #7692)
-#17000 := (~ #7696 #7696)
-#16998 := (~ #7692 #7692)
-#16999 := [refl]: #16998
-#17001 := [nnf-pos #16999]: #17000
-#1394 := (= #1393 #161)
-#1395 := (forall (vars (?x319 T5) (?x320 int)) (:pat #1392) #1394)
-#7697 := (iff #1395 #7696)
-#7694 := (iff #1394 #7692)
-#7695 := [rewrite]: #7694
-#7698 := [quant-intro #7695]: #7697
-#7691 := [asserted]: #1395
-#7701 := [mp #7691 #7698]: #7696
-#17002 := [mp~ #7701 #17001]: #7696
-#27121 := (not #7696)
-#29138 := (or #27121 #29135)
-#29139 := [quant-inst]: #29138
-#29491 := [unit-resolution #29139 #17002]: #29135
-#29492 := (not #29135)
-#30531 := (or #29492 #29295)
-#30526 := [th-lemma]: #30531
-#30527 := [unit-resolution #30526 #29491]: #29295
-#13457 := (* -1::int uf_298)
-#13720 := (+ uf_286 #13457)
-#13721 := (<= #13720 0::int)
-#13722 := (not #13721)
-#23320 := (or #18449 #18458 #23317)
-#23323 := (not #23320)
-#23326 := (or #18449 #18452 #23323)
-#23329 := (not #23326)
-#23332 := (or #18449 #18452 #23329)
-#23335 := (not #23332)
-#23338 := (or #22372 #13576 #13721 #23335)
-#23341 := (not #23338)
-decl ?x776!15 :: int
-#18631 := ?x776!15
-#18636 := (uf_66 #2979 ?x776!15 uf_7)
-#18637 := (uf_110 uf_287 #18636)
-#18982 := (* -1::int #18637)
-decl uf_302 :: int
-#3096 := uf_302
-#18983 := (+ uf_302 #18982)
-#18984 := (>= #18983 0::int)
-#18969 := (* -1::int ?x776!15)
-#18970 := (+ uf_286 #18969)
-#18971 := (<= #18970 0::int)
-#18633 := (>= ?x776!15 0::int)
-#22466 := (not #18633)
-#18632 := (<= ?x776!15 4294967295::int)
-#22465 := (not #18632)
-#22481 := (or #22465 #22466 #18971 #18984)
-#22486 := (not #22481)
-#13362 := (* -1::int uf_286)
-#13750 := (+ #161 #13362)
-#13749 := (>= #13750 0::int)
-#3103 := (= #3054 uf_302)
-#22439 := (not #3103)
-#22440 := (or #22439 #4992 #13749 #19506)
-#23352 := (forall (vars (?x778 int)) (:pat #23211) #22440)
-#23357 := (not #23352)
-#13761 := (* -1::int uf_302)
-#13762 := (+ #3054 #13761)
-#13763 := (<= #13762 0::int)
-#22431 := (or #4992 #13749 #13763 #19506)
-#23344 := (forall (vars (?x776 int)) (:pat #23211) #22431)
-#23349 := (not #23344)
-#23360 := (or #23349 #23357)
-#23363 := (not #23360)
-#23366 := (or #23363 #22486)
-#23369 := (not #23366)
-#12044 := (= uf_296 uf_302)
-#12093 := (not #12044)
-decl uf_301 :: int
-#3094 := uf_301
-#12041 := (= uf_297 uf_301)
-#12102 := (not #12041)
-decl uf_300 :: int
-#3092 := uf_300
-#12038 := (= uf_298 uf_300)
-#12111 := (not #12038)
-decl uf_299 :: int
-#3090 := uf_299
-#12035 := (= uf_296 uf_299)
-#12120 := (not #12035)
-#23372 := (or #12120 #12111 #12102 #12093 #22372 #13576 #13722 #23369)
-#23375 := (not #23372)
-#23378 := (or #23341 #23375)
-#23381 := (not #23378)
-#13926 := (* -1::int uf_296)
-#13927 := (+ #3054 #13926)
-#13928 := (<= #13927 0::int)
-#13915 := (+ #161 #13457)
-#13914 := (>= #13915 0::int)
-#22247 := (or #4992 #13914 #13928 #19506)
-#23220 := (forall (vars (?x775 int)) (:pat #23211) #22247)
-#23225 := (not #23220)
-#1331 := 255::int
-#15805 := (<= uf_296 255::int)
-#22516 := (not #15805)
-#15788 := (<= uf_297 4294967295::int)
-#22515 := (not #15788)
-#15771 := (<= uf_298 4294967295::int)
-#22514 := (not #15771)
-#13976 := (>= uf_296 0::int)
-#22512 := (not #13976)
-#13954 := (>= uf_298 0::int)
-#22511 := (not #13954)
-#13948 := (>= #13720 0::int)
-#13951 := (not #13948)
-#13897 := (* -1::int uf_297)
-#13898 := (+ uf_286 #13897)
-#13899 := (<= #13898 0::int)
-#13428 := (<= uf_286 0::int)
-decl uf_178 :: (-> T4 T4 T2)
-#3169 := (uf_178 uf_287 uf_287)
-#12330 := (= uf_9 #3169)
-#13894 := (not #12330)
-decl uf_202 :: (-> T1 T4 T2)
-decl uf_272 :: T1
-#2945 := uf_272
-#3087 := (uf_202 uf_272 uf_287)
-#12024 := (= uf_9 #3087)
-#15207 := (not #12024)
-#3082 := (uf_66 #2979 uf_297 uf_7)
-#3083 := (uf_110 uf_287 #3082)
-#12016 := (= uf_296 #3083)
-#22510 := (not #12016)
-decl up_292 :: (-> T4 T1 T1 T5 T3 bool)
-decl uf_6 :: (-> T3 T3)
-#11 := (uf_6 uf_7)
-decl uf_280 :: T1
-#2953 := uf_280
-#3182 := (up_292 uf_287 uf_272 uf_280 #2979 #11)
-#22509 := (not #3182)
-#3181 := (up_291 uf_287 uf_272 uf_280 #3013 #11)
-#22508 := (not #3181)
-decl uf_279 :: T1
-#2952 := uf_279
-#3180 := (up_291 uf_287 uf_272 uf_279 uf_286 uf_4)
-#12911 := (not #3180)
-#3179 := (up_291 uf_287 uf_272 uf_277 uf_296 uf_7)
-#12920 := (not #3179)
-#3178 := (up_291 uf_287 uf_272 uf_275 uf_297 uf_4)
-#12929 := (not #3178)
-#3177 := (up_291 uf_287 uf_272 uf_273 uf_298 uf_4)
-#12938 := (not #3177)
-#3031 := (uf_66 #2979 0::int uf_7)
-#3041 := (uf_110 uf_287 #3031)
-decl uf_295 :: int
-#3040 := uf_295
-#3042 := (= uf_295 #3041)
-#13173 := (not #3042)
-#23384 := (or #13173 #12938 #12929 #12920 #12911 #22508 #22509 #22510 #15207 #13894 #13428 #22372 #13576 #13899 #13951 #22511 #22512 #22514 #22515 #22516 #23225 #23381)
-#23387 := (not #23384)
-#23390 := (or #13173 #13428 #23387)
-#23393 := (not #23390)
-#13408 := (* -1::int #3054)
-#13409 := (+ uf_295 #13408)
-#13407 := (>= #13409 0::int)
-#13395 := (>= #161 1::int)
-#22236 := (or #4992 #13395 #13407 #19506)
-#23212 := (forall (vars (?x773 int)) (:pat #23211) #22236)
-#23217 := (not #23212)
-#23396 := (or #23217 #23393)
-#23399 := (not #23396)
-decl ?x773!13 :: int
-#18370 := ?x773!13
-#18380 := (>= ?x773!13 1::int)
-#18375 := (uf_66 #2979 ?x773!13 uf_7)
-#18376 := (uf_110 uf_287 #18375)
-#18377 := (* -1::int #18376)
-#18378 := (+ uf_295 #18377)
-#18379 := (>= #18378 0::int)
-#18372 := (>= ?x773!13 0::int)
-#22210 := (not #18372)
-#18371 := (<= ?x773!13 4294967295::int)
-#22209 := (not #18371)
-#22225 := (or #22209 #22210 #18379 #18380)
-#22230 := (not #22225)
-#23402 := (or #22230 #23399)
-#23405 := (not #23402)
-#13389 := (>= uf_286 1::int)
-#13392 := (not #13389)
-#23408 := (or #13392 #23405)
-#23411 := (not #23408)
-#23414 := (or #13392 #23411)
-#23417 := (not #23414)
-#3037 := (uf_68 uf_287 #3031)
-#11964 := (= uf_9 #3037)
-#18347 := (not #11964)
-#3032 := (uf_48 #3031 uf_7)
-#11955 := (= uf_9 #3032)
-#18338 := (not #11955)
-decl uf_274 :: T1
-#2947 := uf_274
-#3045 := (up_291 uf_287 uf_274 uf_273 1::int uf_4)
-#13146 := (not #3045)
-decl uf_276 :: T1
-#2949 := uf_276
-#3044 := (up_291 uf_287 uf_276 uf_275 0::int uf_4)
-#13155 := (not #3044)
-decl uf_278 :: T1
-#2951 := uf_278
-#3043 := (up_291 uf_287 uf_278 uf_277 uf_295 uf_7)
-#13164 := (not #3043)
-#23420 := (or #13173 #13164 #13155 #13146 #18338 #18347 #23417)
-#23423 := (not #23420)
-#23426 := (or #18338 #18347 #23423)
-#23429 := (not #23426)
-#3034 := (uf_24 uf_287 #3031)
-#11958 := (= uf_9 #3034)
-#18341 := (not #11958)
-#23432 := (or #18338 #18341 #23429)
-#23435 := (not #23432)
-#23438 := (or #18338 #18341 #23435)
-#23441 := (not #23438)
-decl uf_200 :: (-> T4 T5 T5 T16 T2)
-decl uf_282 :: T16
-#2957 := uf_282
-#3029 := (uf_200 uf_287 #2981 #2981 uf_282)
-#11952 := (= uf_9 #3029)
-#13206 := (not #11952)
-#23444 := (or #13206 #23441)
-#23447 := (not #23444)
-#24756 := (uf_116 #2981)
-#26144 := (uf_43 #2977 #24756)
-#26691 := (uf_200 uf_287 #26144 #26144 uf_282)
-#26936 := (= #26691 #3029)
-#26939 := (= #3029 #26691)
-#26151 := (= #2981 #26144)
-#2986 := (uf_48 #2981 #2977)
-#11896 := (= uf_9 #2986)
-decl uf_23 :: (-> T3 T2)
-#2993 := (uf_23 #2977)
-#11908 := (= uf_9 #2993)
-#2990 := (uf_12 #2977)
-#11902 := (= uf_14 #2990)
-#11905 := (not #11902)
-#2988 := (uf_24 uf_287 #2981)
-#11899 := (= uf_9 #2988)
-#11893 := (= uf_26 #2984)
-#2982 := (uf_27 uf_287 #2981)
-#11889 := (= uf_9 #2982)
-#14148 := (and #11889 #11893 #11896 #11899 #11905 #11908)
-decl uf_283 :: int
-#2961 := uf_283
-#14204 := (* -1::int uf_283)
-decl uf_78 :: int
-#429 := uf_78
-#14205 := (+ uf_78 #14204)
-#14203 := (>= #14205 0::int)
-#14201 := (>= uf_283 0::int)
-#14208 := (and #14201 #14203)
-#14211 := (not #14208)
-decl uf_284 :: int
-#2965 := uf_284
-#14190 := (* -1::int uf_284)
-decl uf_76 :: int
-#409 := uf_76
-#14191 := (+ uf_76 #14190)
-#14189 := (>= #14191 0::int)
-#14187 := (>= uf_284 0::int)
-#14194 := (and #14187 #14189)
-#14197 := (not #14194)
-decl uf_285 :: int
-#2969 := uf_285
-#14176 := (* -1::int uf_285)
-#14177 := (+ uf_76 #14176)
-#14175 := (>= #14177 0::int)
-#14173 := (>= uf_285 0::int)
-#14180 := (and #14173 #14175)
-#14183 := (not #14180)
-#1042 := 1099511627776::int
-#14161 := (>= uf_286 1099511627776::int)
-#14151 := (not #14148)
-decl uf_289 :: (-> T19 int)
-#3007 := (:var 0 T19)
-#3008 := (uf_289 #3007)
-#3009 := (pattern #3008)
-decl uf_290 :: int
-#3010 := uf_290
-#14138 := (* -1::int uf_290)
-#14139 := (+ #3008 #14138)
-#14137 := (>= #14139 0::int)
-#14136 := (not #14137)
-#14142 := (forall (vars (?x771 T19)) (:pat #3009) #14136)
-#14145 := (not #14142)
-#13429 := (not #13428)
-#13992 := (and #3042 #13429)
-#13997 := (not #13992)
-#13980 := (+ uf_78 #13926)
-#13979 := (>= #13980 0::int)
-#13983 := (and #13976 #13979)
-#13986 := (not #13983)
-#13967 := (+ uf_76 #13897)
-#13966 := (>= #13967 0::int)
-#13970 := (and #13433 #13966)
-#13973 := (not #13970)
-#13458 := (+ uf_76 #13457)
-#13957 := (>= #13458 0::int)
-#13960 := (and #13954 #13957)
-#13963 := (not #13960)
-#4382 := (* -1::int uf_76)
-#4383 := (+ #161 #4382)
-#4384 := (<= #4383 0::int)
-#4391 := (and #4070 #4384)
-#5606 := (not #4391)
-#13937 := (or #5606 #13914 #13928)
-#13942 := (forall (vars (?x775 int)) #13937)
-#13945 := (not #13942)
-#13900 := (not #13899)
-#13906 := (and #12016 #13900)
-#13911 := (not #13906)
-#13751 := (not #13749)
-#13789 := (and #3103 #4070 #4384 #13751)
-#13794 := (exists (vars (?x778 int)) #13789)
-#13772 := (or #5606 #13749 #13763)
-#13777 := (forall (vars (?x776 int)) #13772)
-#13797 := (not #13777)
-#13803 := (or #13797 #13794)
-#13808 := (and #13777 #13803)
-#13438 := (and #13433 #13436)
-#13441 := (not #13438)
-decl up_216 :: bool
-#2482 := up_216
-#12168 := (not up_216)
-#13835 := (or #12168 #12120 #12111 #12102 #12093 #13441 #13808)
-#13840 := (and up_216 #13835)
-#13865 := (or #13441 #13722 #13840)
-#13456 := (>= #13458 1::int)
-#13545 := (and #13454 #13456)
-#13548 := (not #13545)
-#13515 := (not #13514)
-#13521 := (and #12428 #13515)
-#13501 := (or #5606 #13478 #13492)
-#13506 := (forall (vars (?x786 int)) #13501)
-#13509 := (not #13506)
-#13526 := (or #13509 #13521)
-#13529 := (and #13506 #13526)
-#13532 := (or #13475 #13529)
-#13535 := (and #13470 #13532)
-#13464 := (and #13445 #13462)
-#13467 := (not #13464)
-#13563 := (or #12493 #13467 #13535 #13542 #13548)
-#13571 := (and #13454 #13456 #13563)
-#13447 := (and #13436 #13445)
-#13450 := (not #13447)
-#13682 := (or #12686 #12677 #13441 #13450 #13571 #13627)
-#12381 := (and #12369 #12378)
-#12600 := (not #12381)
-#13603 := (or #12582 #12573 #12600 #12591 #12548 #12539 #13576 #13450 #13571)
-#13611 := (and #12369 #12378 #13603)
-#12375 := (and #12369 #12372)
-#12612 := (not #12375)
-#13616 := (or #12612 #13611)
-#13622 := (and #12369 #12372 #13616)
-#13652 := (or #13441 #13622 #13628)
-#13687 := (and #13652 #13682)
-#13696 := (or #12600 #13441 #13687)
-#13704 := (and #12369 #12378 #13696)
-#13709 := (or #12612 #13704)
-#13715 := (and #12369 #12372 #13709)
-#13744 := (or #13441 #13715 #13721)
-#13870 := (and #13744 #13865)
-decl uf_55 :: (-> T4 T2)
-#3004 := (uf_55 uf_287)
-#11932 := (= uf_9 #3004)
-#12030 := (and #11932 #12024)
-#12203 := (not #12030)
-#3183 := (and #3181 #3182)
-#12902 := (not #3183)
-#14063 := (or #12938 #12929 #12920 #12911 #12902 #12203 #13894 #13441 #13870 #13911 #13945 #13951 #13963 #13973 #13986 #13997)
-#14071 := (and #3042 #13429 #14063)
-#13417 := (or #5606 #13395 #13407)
-#13422 := (forall (vars (?x773 int)) #13417)
-#13425 := (not #13422)
-#14076 := (or #13425 #14071)
-#14079 := (and #13422 #14076)
-#14082 := (or #13392 #14079)
-#14085 := (and #13389 #14082)
-#11967 := (and #11955 #11964)
-#13182 := (not #11967)
-#14106 := (or #13173 #13164 #13155 #13146 #13182 #14085)
-#14114 := (and #11955 #11964 #14106)
-#11961 := (and #11955 #11958)
-#13194 := (not #11961)
-#14119 := (or #13194 #14114)
-#14125 := (and #11955 #11958 #14119)
-#14130 := (or #13206 #14125)
-#14133 := (and #11952 #14130)
-#13363 := (+ uf_76 #13362)
-#13361 := (>= #13363 0::int)
-#13359 := (>= uf_286 0::int)
-#13366 := (and #13359 #13361)
-#13369 := (not #13366)
-decl uf_294 :: (-> int T5 T2)
-decl uf_293 :: int
-#3018 := uf_293
-#3021 := (uf_294 uf_293 #23)
-#3022 := (pattern #3021)
-#11938 := (= uf_9 #3021)
-#11944 := (not #11938)
-#11949 := (forall (vars (?x772 T5)) (:pat #3022) #11944)
-#13227 := (not #11949)
-decl uf_281 :: T1
-#2954 := uf_281
-#3002 := (uf_202 uf_281 uf_287)
-#11929 := (= uf_9 #3002)
-#11935 := (and #11929 #11932)
-#13272 := (not #11935)
-decl uf_203 :: (-> T4 T2)
-#3000 := (uf_203 uf_287)
-#11926 := (= uf_9 #3000)
-#13281 := (not #11926)
-decl uf_173 :: (-> T4 int)
-#3019 := (uf_173 uf_287)
-#3020 := (= uf_293 #3019)
-#13236 := (not #3020)
-#3017 := (up_291 uf_287 uf_281 uf_279 uf_286 uf_4)
-#13245 := (not #3017)
-#3015 := (up_292 uf_287 uf_281 uf_280 #2979 #11)
-#3014 := (up_291 uf_287 uf_281 uf_280 #3013 #11)
-#3016 := (and #3014 #3015)
-#13254 := (not #3016)
-#14256 := (or #13254 #13245 #13236 #13281 #13272 #13227 #13369 #13428 #14133 #14145 #14151 #14161 #14183 #14197 #14211)
-#14261 := (not #14256)
-#1 := true
-#3098 := (< #161 uf_286)
-#3104 := (and #3098 #3103)
-#411 := (<= #161 uf_76)
-#3105 := (and #411 #3104)
-#285 := (<= 0::int #161)
-#3106 := (and #285 #3105)
-#3107 := (exists (vars (?x778 int)) #3106)
-#3108 := (implies #3107 true)
-#3109 := (and #3107 #3108)
-#3099 := (<= #3054 uf_302)
-#3100 := (implies #3098 #3099)
-#412 := (and #285 #411)
-#3101 := (implies #412 #3100)
-#3102 := (forall (vars (?x776 int)) #3101)
-#3110 := (implies #3102 #3109)
-#3111 := (and #3102 #3110)
-#3112 := (implies true #3111)
-#3097 := (= uf_302 uf_296)
-#3113 := (implies #3097 #3112)
-#3095 := (= uf_301 uf_297)
-#3114 := (implies #3095 #3113)
-#3093 := (= uf_300 uf_298)
-#3115 := (implies #3093 #3114)
-#3091 := (= uf_299 uf_296)
-#3116 := (implies #3091 #3115)
-#3117 := (implies true #3116)
-#3066 := (<= 0::int uf_297)
-#3073 := (<= 1::int uf_298)
-#3074 := (and #3073 #3066)
-#3118 := (implies #3074 #3117)
-#3119 := (implies #3074 #3118)
-#3120 := (implies true #3119)
-#3121 := (implies #3074 #3120)
-#3122 := (implies up_216 #3121)
-#3123 := (and up_216 #3122)
-#3124 := (implies #3074 #3123)
-#3125 := (implies true #3124)
-#3126 := (implies #3074 #3125)
-#3288 := (implies #3074 #3126)
-#3289 := (implies true #3288)
-#3290 := (implies #3074 #3289)
-#3287 := (<= uf_286 uf_298)
-#3291 := (implies #3287 #3290)
-#3292 := (implies #3074 #3291)
-#3293 := (implies true #3292)
-#3230 := (implies false true)
-#3228 := (= #3227 uf_304)
-#3225 := (< uf_305 uf_286)
-#3229 := (and #3225 #3228)
-#3231 := (implies #3229 #3230)
-#3232 := (and #3229 #3231)
-#3221 := (<= #3054 uf_304)
-#3220 := (< #161 uf_306)
-#3222 := (implies #3220 #3221)
-#3223 := (implies #412 #3222)
-#3224 := (forall (vars (?x786 int)) #3223)
-#3233 := (implies #3224 #3232)
-#3234 := (and #3224 #3233)
-#3219 := (<= uf_306 uf_286)
-#3235 := (implies #3219 #3234)
-#3236 := (and #3219 #3235)
-#3237 := (implies true #3236)
-#3208 := (<= 0::int uf_305)
-#3217 := (<= 2::int uf_306)
-#3218 := (and #3217 #3208)
-#3238 := (implies #3218 #3237)
-#3239 := (implies #3216 #3238)
-#3210 := (+ uf_298 1::int)
-#3215 := (= uf_306 #3210)
-#3240 := (implies #3215 #3239)
-#3212 := (<= #3210 uf_76)
-#3211 := (<= 0::int #3210)
-#3213 := (and #3211 #3212)
-#3241 := (implies #3213 #3240)
-#3242 := (and #3213 #3241)
-#3209 := (and #3073 #3208)
-#3243 := (implies #3209 #3242)
-#3244 := (implies true #3243)
-#3264 := (= uf_305 uf_297)
-#3265 := (implies #3264 #3244)
-#3263 := (= uf_304 uf_296)
-#3266 := (implies #3263 #3265)
-#3267 := (implies true #3266)
-#3268 := (implies #3074 #3267)
-#3269 := (implies #3074 #3268)
-#3270 := (implies true #3269)
-#3271 := (implies #3074 #3270)
-#3262 := (<= #3197 uf_296)
-#3272 := (implies #3262 #3271)
-#3273 := (implies #3074 #3272)
-#3274 := (implies true #3273)
-#3207 := (= uf_305 uf_298)
-#3245 := (implies #3207 #3244)
-#3205 := (= uf_304 uf_303)
-#3246 := (implies #3205 #3245)
-#3247 := (implies true #3246)
-#3203 := (and #3073 #3073)
-#3248 := (implies #3203 #3247)
-#3249 := (implies #3202 #3248)
-#3250 := (implies #3201 #3249)
-#3200 := (= uf_303 #3197)
-#3251 := (implies #3200 #3250)
-#3195 := (= #3194 uf_9)
-#3190 := (= #3189 uf_9)
-#3196 := (and #3190 #3195)
-#3252 := (implies #3196 #3251)
-#3253 := (and #3196 #3252)
-#3192 := (= #3191 uf_9)
-#3193 := (and #3190 #3192)
-#3254 := (implies #3193 #3253)
-#3255 := (and #3193 #3254)
-#3256 := (implies #3074 #3255)
-#3257 := (implies true #3256)
-#3258 := (implies #3074 #3257)
-#3198 := (< uf_296 #3197)
-#3259 := (implies #3198 #3258)
-#3260 := (implies #3074 #3259)
-#3261 := (implies true #3260)
-#3275 := (and #3261 #3274)
-#3276 := (implies #3074 #3275)
-#3277 := (implies #3196 #3276)
-#3278 := (and #3196 #3277)
-#3279 := (implies #3193 #3278)
-#3280 := (and #3193 #3279)
-#3281 := (implies #3074 #3280)
-#3282 := (implies true #3281)
-#3283 := (implies #3074 #3282)
-#3187 := (< uf_298 uf_286)
-#3284 := (implies #3187 #3283)
-#3285 := (implies #3074 #3284)
-#3286 := (implies true #3285)
-#3294 := (and #3286 #3293)
-#3295 := (implies #3074 #3294)
-decl uf_41 :: (-> T4 T12)
-#3134 := (uf_41 uf_287)
-#3185 := (= #3134 #3134)
-#3184 := (= #3157 #3157)
-#3186 := (and #3184 #3185)
-#3296 := (implies #3186 #3295)
-#3297 := (implies #3183 #3296)
-#3298 := (implies #3180 #3297)
-#3299 := (implies #3179 #3298)
-#3300 := (implies #3178 #3299)
-#3301 := (implies #3177 #3300)
-#3005 := (= #3004 uf_9)
-#3088 := (= #3087 uf_9)
-#3089 := (and #3088 #3005)
-#3302 := (implies #3089 #3301)
-#3170 := (= #3169 uf_9)
-decl uf_172 :: (-> T4 T5 int)
-#3165 := (uf_172 uf_287 #23)
-#3166 := (pattern #3165)
-#3167 := (<= #3165 #3165)
-#3168 := (forall (vars (?x784 T5)) (:pat #3166) #3167)
-#3171 := (and #3168 #3170)
-#3164 := (<= #3019 #3019)
-#3172 := (and #3164 #3171)
-#3303 := (implies #3172 #3302)
-#3158 := (uf_58 #3157 #23)
-#3159 := (pattern #3158)
-#3147 := (uf_68 uf_287 #23)
-#3148 := (= #3147 uf_9)
-#3160 := (= #3158 #3158)
-#3161 := (and #3160 #3148)
-#3162 := (implies #3148 #3161)
-#3163 := (forall (vars (?x783 T5)) (:pat #3159) #3162)
-#3173 := (and #3163 #3172)
-decl uf_40 :: (-> T12 T5 T11)
-#3135 := (uf_40 #3134 #23)
-#3136 := (pattern #3135)
-#3153 := (= #3135 #3135)
-#3154 := (and #3153 #3148)
-#3155 := (implies #3148 #3154)
-#3156 := (forall (vars (?x782 T5)) (:pat #3136) #3155)
-#3174 := (and #3156 #3173)
-decl uf_19 :: (-> T9 T5 int)
-decl uf_20 :: (-> T4 T9)
-#3144 := (uf_20 uf_287)
-#3145 := (uf_19 #3144 #23)
-#3146 := (pattern #3145)
-#3149 := (= #3145 #3145)
-#3150 := (and #3149 #3148)
-#3151 := (implies #3148 #3150)
-#3152 := (forall (vars (?x781 T5)) (:pat #3146) #3151)
-#3175 := (and #3152 #3174)
-decl uf_261 :: T8
-#2837 := uf_261
-#3137 := (uf_25 uf_287 #23)
-#3138 := (uf_13 #3137)
-#3139 := (uf_12 #3138)
-#3140 := (= #3139 uf_261)
-#3141 := (not #3140)
-#3142 := (implies #3141 #3141)
-#3143 := (forall (vars (?x780 T5)) (:pat #3136) #3142)
-#3176 := (and #3143 #3175)
-#3304 := (implies #3176 #3303)
-#3305 := (implies #3074 #3304)
-#3306 := (implies true #3305)
-#3307 := (implies #3074 #3306)
-#3308 := (implies true #3307)
-#3309 := (implies #3074 #3308)
-#3310 := (implies true #3309)
-#3127 := (implies #3089 #3126)
-#3128 := (implies #3074 #3127)
-#3129 := (implies true #3128)
-#3130 := (implies #3074 #3129)
-#3086 := (not true)
-#3131 := (implies #3086 #3130)
-#3132 := (implies #3074 #3131)
-#3133 := (implies true #3132)
-#3311 := (and #3133 #3310)
-#3312 := (implies #3074 #3311)
-#3084 := (= #3083 uf_296)
-#3081 := (< uf_297 uf_286)
-#3085 := (and #3081 #3084)
-#3313 := (implies #3085 #3312)
-#3077 := (<= #3054 uf_296)
-#3076 := (< #161 uf_298)
-#3078 := (implies #3076 #3077)
-#3079 := (implies #412 #3078)
-#3080 := (forall (vars (?x775 int)) #3079)
-#3314 := (implies #3080 #3313)
-#3075 := (<= uf_298 uf_286)
-#3315 := (implies #3075 #3314)
-#3316 := (implies #3074 #3315)
-#3071 := (<= uf_298 uf_76)
-#3070 := (<= 0::int uf_298)
-#3072 := (and #3070 #3071)
-#3317 := (implies #3072 #3316)
-#3067 := (<= uf_297 uf_76)
-#3068 := (and #3066 #3067)
-#3318 := (implies #3068 #3317)
-#3063 := (<= uf_296 uf_78)
-#3062 := (<= 0::int uf_296)
-#3064 := (and #3062 #3063)
-#3319 := (implies #3064 #3318)
-#3320 := (implies true #3319)
-#3059 := (= #3041 uf_295)
-#2975 := (< 0::int uf_286)
-#3060 := (and #2975 #3059)
-#3321 := (implies #3060 #3320)
-#3322 := (and #3060 #3321)
-#3055 := (<= #3054 uf_295)
-#3052 := (< #161 1::int)
-#3056 := (implies #3052 #3055)
-#3057 := (implies #412 #3056)
-#3058 := (forall (vars (?x773 int)) #3057)
-#3323 := (implies #3058 #3322)
-#3324 := (and #3058 #3323)
-#3051 := (<= 1::int uf_286)
-#3325 := (implies #3051 #3324)
-#3326 := (and #3051 #3325)
-#3047 := (<= 0::int 0::int)
-#3048 := (and #3047 #3047)
-#3046 := (<= 1::int 1::int)
-#3049 := (and #3046 #3048)
-#3050 := (and #3046 #3049)
-#3327 := (implies #3050 #3326)
-#3328 := (implies #3045 #3327)
-#3329 := (implies #3044 #3328)
-#3330 := (implies #3043 #3329)
-#3331 := (implies #3042 #3330)
-#3038 := (= #3037 uf_9)
-#3033 := (= #3032 uf_9)
-#3039 := (and #3033 #3038)
-#3332 := (implies #3039 #3331)
-#3333 := (and #3039 #3332)
-#3035 := (= #3034 uf_9)
-#3036 := (and #3033 #3035)
-#3334 := (implies #3036 #3333)
-#3335 := (and #3036 #3334)
-#3030 := (= #3029 uf_9)
-#3336 := (implies #3030 #3335)
-#3337 := (and #3030 #3336)
-#3027 := (<= uf_286 uf_76)
-#3026 := (<= 0::int uf_286)
-#3028 := (and #3026 #3027)
-#3338 := (implies #3028 #3337)
-#3023 := (= #3021 uf_9)
-#3024 := (iff #3023 false)
-#3025 := (forall (vars (?x772 T5)) (:pat #3022) #3024)
-#3339 := (implies #3025 #3338)
-#3340 := (implies #3020 #3339)
-#3341 := (implies #3017 #3340)
-#3342 := (implies #3016 #3341)
-#3011 := (< #3008 uf_290)
-#3012 := (forall (vars (?x771 T19)) (:pat #3009) #3011)
-#3343 := (implies #3012 #3342)
-#3003 := (= #3002 uf_9)
-#3006 := (and #3003 #3005)
-#3344 := (implies #3006 #3343)
-#3001 := (= #3000 uf_9)
-#3345 := (implies #3001 #3344)
-#3346 := (implies true #3345)
-#2994 := (= #2993 uf_9)
-#2991 := (= #2990 uf_14)
-#2992 := (not #2991)
-#2995 := (and #2992 #2994)
-#2989 := (= #2988 uf_9)
-#2996 := (and #2989 #2995)
-#2987 := (= #2986 uf_9)
-#2997 := (and #2987 #2996)
-#2985 := (= #2984 uf_26)
-#2998 := (and #2985 #2997)
-#2983 := (= #2982 uf_9)
-#2999 := (and #2983 #2998)
-#3347 := (implies #2999 #3346)
-#3348 := (implies #2975 #3347)
-#2974 := (< uf_286 1099511627776::int)
-#3349 := (implies #2974 #3348)
-#2971 := (<= uf_285 uf_76)
-#2970 := (<= 0::int uf_285)
-#2972 := (and #2970 #2971)
-#3350 := (implies #2972 #3349)
-#2967 := (<= uf_284 uf_76)
-#2966 := (<= 0::int uf_284)
-#2968 := (and #2966 #2967)
-#3351 := (implies #2968 #3350)
-#2963 := (<= uf_283 uf_78)
-#2962 := (<= 0::int uf_283)
-#2964 := (and #2962 #2963)
-#3352 := (implies #2964 #3351)
-#3353 := (implies true #3352)
-#3354 := (not #3353)
-#14264 := (iff #3354 #14261)
-#12047 := (not #3098)
-#12048 := (or #12047 #3099)
-#5597 := (not #412)
-#12054 := (or #5597 #12048)
-#12059 := (forall (vars (?x776 int)) #12054)
-#12074 := (not #12059)
-#12075 := (or #3107 #12074)
-#12080 := (and #12059 #12075)
-#12094 := (or #12093 #12080)
-#12103 := (or #12102 #12094)
-#12112 := (or #12111 #12103)
-#12121 := (or #12120 #12112)
-#11998 := (and #3066 #3073)
-#12136 := (not #11998)
-#12137 := (or #12136 #12121)
-#12145 := (or #12136 #12137)
-#12160 := (or #12136 #12145)
-#12169 := (or #12168 #12160)
-#12174 := (and up_216 #12169)
-#12180 := (or #12136 #12174)
-#12195 := (or #12136 #12180)
-#12837 := (or #12136 #12195)
-#12852 := (or #12136 #12837)
-#12860 := (not #3287)
-#12861 := (or #12860 #12852)
-#12869 := (or #12136 #12861)
-#12431 := (and #3225 #12428)
-#12413 := (not #3220)
-#12414 := (or #12413 #3221)
-#12420 := (or #5597 #12414)
-#12425 := (forall (vars (?x786 int)) #12420)
-#12453 := (not #12425)
-#12454 := (or #12453 #12431)
-#12459 := (and #12425 #12454)
-#12465 := (not #3219)
-#12466 := (or #12465 #12459)
-#12471 := (and #3219 #12466)
-#12410 := (and #3208 #3217)
-#12484 := (not #12410)
-#12485 := (or #12484 #12471)
-#12494 := (or #12493 #12485)
-#12395 := (+ 1::int uf_298)
-#12407 := (= uf_306 #12395)
-#12502 := (not #12407)
-#12503 := (or #12502 #12494)
-#12401 := (<= #12395 uf_76)
-#12398 := (<= 0::int #12395)
-#12404 := (and #12398 #12401)
-#12511 := (not #12404)
-#12512 := (or #12511 #12503)
-#12517 := (and #12404 #12512)
-#12523 := (not #3209)
-#12524 := (or #12523 #12517)
-#12678 := (or #12524 #12677)
-#12687 := (or #12686 #12678)
-#12702 := (or #12136 #12687)
-#12710 := (or #12136 #12702)
-#12725 := (or #12136 #12710)
-#12733 := (not #3262)
-#12734 := (or #12733 #12725)
-#12742 := (or #12136 #12734)
-#12540 := (or #12539 #12524)
-#12549 := (or #12548 #12540)
-#12564 := (not #3073)
-#12565 := (or #12564 #12549)
-#12574 := (or #12573 #12565)
-#12583 := (or #12582 #12574)
-#12592 := (or #12591 #12583)
-#12601 := (or #12600 #12592)
-#12606 := (and #12381 #12601)
-#12613 := (or #12612 #12606)
-#12618 := (and #12375 #12613)
-#12624 := (or #12136 #12618)
-#12639 := (or #12136 #12624)
-#12647 := (not #3198)
-#12648 := (or #12647 #12639)
-#12656 := (or #12136 #12648)
-#12754 := (and #12656 #12742)
-#12760 := (or #12136 #12754)
-#12768 := (or #12600 #12760)
-#12773 := (and #12381 #12768)
-#12779 := (or #12612 #12773)
-#12784 := (and #12375 #12779)
-#12790 := (or #12136 #12784)
-#12805 := (or #12136 #12790)
-#12813 := (not #3187)
-#12814 := (or #12813 #12805)
-#12822 := (or #12136 #12814)
-#12881 := (and #12822 #12869)
-#12887 := (or #12136 #12881)
-#12903 := (or #12902 #12887)
-#12912 := (or #12911 #12903)
-#12921 := (or #12920 #12912)
-#12930 := (or #12929 #12921)
-#12939 := (or #12938 #12930)
-#12947 := (or #12203 #12939)
-#12333 := (and #3168 #12330)
-#12336 := (and #3164 #12333)
-#12955 := (not #12336)
-#12956 := (or #12955 #12947)
-#12964 := (or #12955 #12956)
-#12972 := (or #12136 #12964)
-#12987 := (or #12136 #12972)
-#13002 := (or #12136 #12987)
-#13024 := (or #12136 #13002)
-#12019 := (and #3081 #12016)
-#13032 := (not #12019)
-#13033 := (or #13032 #13024)
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-#13592 := (iff #12574 #13591)
-#13589 := (iff #12565 #13588)
-#13586 := (iff #12549 #13585)
-#13583 := (iff #12540 #13582)
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-#13587 := [monotonicity #13584]: #13586
-#13577 := (iff #12564 #13576)
-#13578 := [monotonicity #13437]: #13577
-#13590 := [monotonicity #13578 #13587]: #13589
-#13593 := [monotonicity #13590]: #13592
-#13596 := [monotonicity #13593]: #13595
-#13599 := [monotonicity #13596]: #13598
-#13602 := [monotonicity #13599]: #13601
-#13607 := [trans #13602 #13605]: #13606
-#13610 := [monotonicity #13607]: #13609
-#13615 := [trans #13610 #13613]: #13614
-#13618 := [monotonicity #13615]: #13617
-#13621 := [monotonicity #13618]: #13620
-#13626 := [trans #13621 #13624]: #13625
-#13642 := [monotonicity #13443 #13626]: #13641
-#13645 := [monotonicity #13443 #13642]: #13644
-#13638 := (iff #12647 #13628)
-#13633 := (not #13627)
-#13636 := (iff #13633 #13628)
-#13637 := [rewrite]: #13636
-#13634 := (iff #12647 #13633)
-#13631 := (iff #3198 #13627)
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-#13635 := [monotonicity #13632]: #13634
-#13639 := [trans #13635 #13637]: #13638
-#13648 := [monotonicity #13639 #13645]: #13647
-#13651 := [monotonicity #13443 #13648]: #13650
-#13656 := [trans #13651 #13654]: #13655
-#13689 := [monotonicity #13656 #13686]: #13688
-#13692 := [monotonicity #13443 #13689]: #13691
-#13695 := [monotonicity #13692]: #13694
-#13700 := [trans #13695 #13698]: #13699
-#13703 := [monotonicity #13700]: #13702
-#13708 := [trans #13703 #13706]: #13707
-#13711 := [monotonicity #13708]: #13710
-#13714 := [monotonicity #13711]: #13713
-#13719 := [trans #13714 #13717]: #13718
-#13734 := [monotonicity #13443 #13719]: #13733
-#13737 := [monotonicity #13443 #13734]: #13736
-#13730 := (iff #12813 #13721)
-#13725 := (not #13722)
-#13728 := (iff #13725 #13721)
-#13729 := [rewrite]: #13728
-#13726 := (iff #12813 #13725)
-#13723 := (iff #3187 #13722)
-#13724 := [rewrite]: #13723
-#13727 := [monotonicity #13724]: #13726
-#13731 := [trans #13727 #13729]: #13730
-#13740 := [monotonicity #13731 #13737]: #13739
-#13743 := [monotonicity #13443 #13740]: #13742
-#13748 := [trans #13743 #13746]: #13747
-#13872 := [monotonicity #13748 #13869]: #13871
-#14002 := [monotonicity #13443 #13872]: #14001
-#14005 := [monotonicity #14002]: #14004
-#14008 := [monotonicity #14005]: #14007
-#14011 := [monotonicity #14008]: #14010
-#14014 := [monotonicity #14011]: #14013
-#14017 := [monotonicity #14014]: #14016
-#14020 := [monotonicity #14017]: #14019
-#13895 := (iff #12955 #13894)
-#13892 := (iff #12336 #12330)
-#13884 := (and true #12330)
-#13887 := (and true #13884)
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-#13880 := (iff #3168 true)
-#13875 := (forall (vars (?x784 T5)) (:pat #3166) true)
-#13878 := (iff #13875 true)
-#13879 := [elim-unused]: #13878
-#13876 := (iff #3168 #13875)
-#13873 := (iff #3167 true)
-#13874 := [rewrite]: #13873
-#13877 := [quant-intro #13874]: #13876
-#13881 := [trans #13877 #13879]: #13880
-#13886 := [monotonicity #13881]: #13885
-#13882 := (iff #3164 true)
-#13883 := [rewrite]: #13882
-#13889 := [monotonicity #13883 #13886]: #13888
-#13893 := [trans #13889 #13891]: #13892
-#13896 := [monotonicity #13893]: #13895
-#14023 := [monotonicity #13896 #14020]: #14022
-#14026 := [monotonicity #13896 #14023]: #14025
-#14029 := [monotonicity #13443 #14026]: #14028
-#14032 := [monotonicity #13443 #14029]: #14031
-#14035 := [monotonicity #13443 #14032]: #14034
-#14038 := [monotonicity #13443 #14035]: #14037
-#13912 := (iff #13032 #13911)
-#13909 := (iff #12019 #13906)
-#13903 := (and #13900 #12016)
-#13907 := (iff #13903 #13906)
-#13908 := [rewrite]: #13907
-#13904 := (iff #12019 #13903)
-#13901 := (iff #3081 #13900)
-#13902 := [rewrite]: #13901
-#13905 := [monotonicity #13902]: #13904
-#13910 := [trans #13905 #13908]: #13909
-#13913 := [monotonicity #13910]: #13912
-#14041 := [monotonicity #13913 #14038]: #14040
-#13946 := (iff #13041 #13945)
-#13943 := (iff #12013 #13942)
-#13940 := (iff #12008 #13937)
-#13931 := (or #13914 #13928)
-#13934 := (or #5606 #13931)
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-#13939 := [rewrite]: #13938
-#13935 := (iff #12008 #13934)
-#13932 := (iff #12002 #13931)
-#13929 := (iff #3077 #13928)
-#13930 := [rewrite]: #13929
-#13924 := (iff #12001 #13914)
-#13916 := (not #13914)
-#13919 := (not #13916)
-#13922 := (iff #13919 #13914)
-#13923 := [rewrite]: #13922
-#13920 := (iff #12001 #13919)
-#13917 := (iff #3076 #13916)
-#13918 := [rewrite]: #13917
-#13921 := [monotonicity #13918]: #13920
-#13925 := [trans #13921 #13923]: #13924
-#13933 := [monotonicity #13925 #13930]: #13932
-#13936 := [monotonicity #5608 #13933]: #13935
-#13941 := [trans #13936 #13939]: #13940
-#13944 := [quant-intro #13941]: #13943
-#13947 := [monotonicity #13944]: #13946
-#14044 := [monotonicity #13947 #14041]: #14043
-#13952 := (iff #13050 #13951)
-#13949 := (iff #3075 #13948)
-#13950 := [rewrite]: #13949
-#13953 := [monotonicity #13950]: #13952
-#14047 := [monotonicity #13953 #14044]: #14046
-#14050 := [monotonicity #13443 #14047]: #14049
-#13964 := (iff #13067 #13963)
-#13961 := (iff #3072 #13960)
-#13958 := (iff #3071 #13957)
-#13959 := [rewrite]: #13958
-#13955 := (iff #3070 #13954)
-#13956 := [rewrite]: #13955
-#13962 := [monotonicity #13956 #13959]: #13961
-#13965 := [monotonicity #13962]: #13964
-#14053 := [monotonicity #13965 #14050]: #14052
-#13974 := (iff #13076 #13973)
-#13971 := (iff #3068 #13970)
-#13968 := (iff #3067 #13966)
-#13969 := [rewrite]: #13968
-#13972 := [monotonicity #13434 #13969]: #13971
-#13975 := [monotonicity #13972]: #13974
-#14056 := [monotonicity #13975 #14053]: #14055
-#13987 := (iff #13085 #13986)
-#13984 := (iff #3064 #13983)
-#13981 := (iff #3063 #13979)
-#13982 := [rewrite]: #13981
-#13977 := (iff #3062 #13976)
-#13978 := [rewrite]: #13977
-#13985 := [monotonicity #13978 #13982]: #13984
-#13988 := [monotonicity #13985]: #13987
-#14059 := [monotonicity #13988 #14056]: #14058
-#13998 := (iff #13101 #13997)
-#13995 := (iff #11995 #13992)
-#13993 := (iff #13989 #13992)
-#13994 := [rewrite]: #13993
-#13990 := (iff #11995 #13989)
-#13430 := (iff #2975 #13429)
-#13431 := [rewrite]: #13430
-#13991 := [monotonicity #13431]: #13990
-#13996 := [trans #13991 #13994]: #13995
-#13999 := [monotonicity #13996]: #13998
-#14062 := [monotonicity #13999 #14059]: #14061
-#14067 := [trans #14062 #14065]: #14066
-#14070 := [monotonicity #13991 #14067]: #14069
-#14075 := [trans #14070 #14073]: #14074
-#13426 := (iff #13113 #13425)
-#13423 := (iff #11990 #13422)
-#13420 := (iff #11985 #13417)
-#13411 := (or #13395 #13407)
-#13414 := (or #5606 #13411)
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-#13419 := [rewrite]: #13418
-#13415 := (iff #11985 #13414)
-#13412 := (iff #11979 #13411)
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-#13404 := (iff #11978 #13395)
-#13396 := (not #13395)
-#13399 := (not #13396)
-#13402 := (iff #13399 #13395)
-#13403 := [rewrite]: #13402
-#13400 := (iff #11978 #13399)
-#13397 := (iff #3052 #13396)
-#13398 := [rewrite]: #13397
-#13401 := [monotonicity #13398]: #13400
-#13405 := [trans #13401 #13403]: #13404
-#13413 := [monotonicity #13405 #13410]: #13412
-#13416 := [monotonicity #5608 #13413]: #13415
-#13421 := [trans #13416 #13419]: #13420
-#13424 := [quant-intro #13421]: #13423
-#13427 := [monotonicity #13424]: #13426
-#14078 := [monotonicity #13427 #14075]: #14077
-#14081 := [monotonicity #13424 #14078]: #14080
-#13393 := (iff #13125 #13392)
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-#13394 := [monotonicity #13391]: #13393
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-#13387 := (iff #13137 false)
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-#13385 := (iff #13137 #3086)
-#13383 := (iff #11975 true)
-#12362 := (and true true)
-#13378 := (and true #12362)
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-#13379 := (iff #11975 #13378)
-#13376 := (iff #11972 #12362)
-#13374 := (iff #3047 true)
-#13375 := [rewrite]: #13374
-#13372 := (iff #3046 true)
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-#13377 := [monotonicity #13373 #13375]: #13376
-#13380 := [monotonicity #13373 #13377]: #13379
-#13384 := [trans #13380 #13382]: #13383
-#13386 := [monotonicity #13384]: #13385
-#13388 := [trans #13386 #12023]: #13387
-#14090 := [monotonicity #13388 #14087]: #14089
-#14093 := [monotonicity #14090]: #14092
-#14096 := [monotonicity #14093]: #14095
-#14099 := [monotonicity #14096]: #14098
-#14102 := [monotonicity #14099]: #14101
-#14105 := [monotonicity #14102]: #14104
-#14110 := [trans #14105 #14108]: #14109
-#14113 := [monotonicity #14110]: #14112
-#14118 := [trans #14113 #14116]: #14117
-#14121 := [monotonicity #14118]: #14120
-#14124 := [monotonicity #14121]: #14123
-#14129 := [trans #14124 #14127]: #14128
-#14132 := [monotonicity #14129]: #14131
-#14135 := [monotonicity #14132]: #14134
-#13370 := (iff #13218 #13369)
-#13367 := (iff #3028 #13366)
-#13364 := (iff #3027 #13361)
-#13365 := [rewrite]: #13364
-#13358 := (iff #3026 #13359)
-#13360 := [rewrite]: #13358
-#13368 := [monotonicity #13360 #13365]: #13367
-#13371 := [monotonicity #13368]: #13370
-#14216 := [monotonicity #13371 #14135]: #14215
-#14219 := [monotonicity #14216]: #14218
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-#14225 := [monotonicity #14222]: #14224
-#14228 := [monotonicity #14225]: #14227
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-#14141 := [rewrite]: #14140
-#14144 := [quant-intro #14141]: #14143
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-#14231 := [monotonicity #14147 #14228]: #14230
-#14234 := [monotonicity #14231]: #14233
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-#14153 := [monotonicity #14150]: #14152
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-#14158 := [rewrite]: #14157
-#14155 := (iff #13306 #14154)
-#14156 := [monotonicity #13431]: #14155
-#14160 := [trans #14156 #14158]: #14159
-#14243 := [monotonicity #14160 #14240]: #14242
-#14170 := (iff #13315 #14161)
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-#14167 := [monotonicity #14164]: #14166
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-#14179 := [rewrite]: #14178
-#14172 := (iff #2970 #14173)
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-#14182 := [monotonicity #14174 #14179]: #14181
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-#14213 := [monotonicity #14210]: #14212
-#14255 := [monotonicity #14213 #14252]: #14254
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-#14263 := [monotonicity #14260]: #14262
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-#13270 := (iff #3344 #13269)
-#13267 := (iff #3343 #13264)
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-#13261 := (iff #3343 #13260)
-#13258 := (iff #3342 #13255)
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-#13240 := (iff #3340 #13237)
-#13233 := (implies #3020 #13228)
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-#13234 := (iff #3340 #13233)
-#13231 := (iff #3339 #13228)
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-#13229 := (iff #13224 #13228)
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-#13222 := (iff #3338 #13219)
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-#13203 := (implies #11952 #13200)
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-#13201 := (iff #3335 #13200)
-#13198 := (iff #3334 #13195)
-#13191 := (implies #11961 #13188)
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-#13197 := [rewrite]: #13196
-#13192 := (iff #3334 #13191)
-#13189 := (iff #3333 #13188)
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-#13179 := (implies #11967 #13174)
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-#13177 := (iff #3331 #13174)
-#13170 := (implies #3042 #13165)
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-#13171 := (iff #3331 #13170)
-#13168 := (iff #3330 #13165)
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-#13159 := (iff #3329 #13156)
-#13152 := (implies #3044 #13147)
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-#13153 := (iff #3329 #13152)
-#13150 := (iff #3328 #13147)
-#13143 := (implies #3045 #13138)
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-#13144 := (iff #3328 #13143)
-#13141 := (iff #3327 #13138)
-#13134 := (implies #11975 #13131)
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-#13140 := [rewrite]: #13139
-#13135 := (iff #3327 #13134)
-#13132 := (iff #3326 #13131)
-#13129 := (iff #3325 #13126)
-#13122 := (implies #3051 #13119)
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-#13123 := (iff #3325 #13122)
-#13120 := (iff #3324 #13119)
-#13117 := (iff #3323 #13114)
-#13110 := (implies #11990 #13107)
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-#13111 := (iff #3323 #13110)
-#13108 := (iff #3322 #13107)
-#13105 := (iff #3321 #13102)
-#13098 := (implies #11995 #13086)
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-#13099 := (iff #3321 #13098)
-#13096 := (iff #3320 #13086)
-#13091 := (implies true #13086)
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-#13089 := (iff #3319 #13086)
-#13082 := (implies #3064 #13077)
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-#13083 := (iff #3319 #13082)
-#13080 := (iff #3318 #13077)
-#13073 := (implies #3068 #13068)
-#13078 := (iff #13073 #13077)
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-#13074 := (iff #3318 #13073)
-#13071 := (iff #3317 #13068)
-#13064 := (implies #3072 #13059)
-#13069 := (iff #13064 #13068)
-#13070 := [rewrite]: #13069
-#13065 := (iff #3317 #13064)
-#13062 := (iff #3316 #13059)
-#13056 := (implies #11998 #13051)
-#13060 := (iff #13056 #13059)
-#13061 := [rewrite]: #13060
-#13057 := (iff #3316 #13056)
-#13054 := (iff #3315 #13051)
-#13047 := (implies #3075 #13042)
-#13052 := (iff #13047 #13051)
-#13053 := [rewrite]: #13052
-#13048 := (iff #3315 #13047)
-#13045 := (iff #3314 #13042)
-#13038 := (implies #12013 #13033)
-#13043 := (iff #13038 #13042)
-#13044 := [rewrite]: #13043
-#13039 := (iff #3314 #13038)
-#13036 := (iff #3313 #13033)
-#13029 := (implies #12019 #13024)
-#13034 := (iff #13029 #13033)
-#13035 := [rewrite]: #13034
-#13030 := (iff #3313 #13029)
-#13027 := (iff #3312 #13024)
-#13021 := (implies #11998 #13002)
-#13025 := (iff #13021 #13024)
-#13026 := [rewrite]: #13025
-#13022 := (iff #3312 #13021)
-#13019 := (iff #3311 #13002)
-#13014 := (and true #13002)
-#13017 := (iff #13014 #13002)
-#13018 := [rewrite]: #13017
-#13015 := (iff #3311 #13014)
-#13012 := (iff #3310 #13002)
-#13007 := (implies true #13002)
-#13010 := (iff #13007 #13002)
-#13011 := [rewrite]: #13010
-#13008 := (iff #3310 #13007)
-#13005 := (iff #3309 #13002)
-#12999 := (implies #11998 #12987)
-#13003 := (iff #12999 #13002)
-#13004 := [rewrite]: #13003
-#13000 := (iff #3309 #12999)
-#12997 := (iff #3308 #12987)
-#12992 := (implies true #12987)
-#12995 := (iff #12992 #12987)
-#12996 := [rewrite]: #12995
-#12993 := (iff #3308 #12992)
-#12990 := (iff #3307 #12987)
-#12984 := (implies #11998 #12972)
-#12988 := (iff #12984 #12987)
-#12989 := [rewrite]: #12988
-#12985 := (iff #3307 #12984)
-#12982 := (iff #3306 #12972)
-#12977 := (implies true #12972)
-#12980 := (iff #12977 #12972)
-#12981 := [rewrite]: #12980
-#12978 := (iff #3306 #12977)
-#12975 := (iff #3305 #12972)
-#12969 := (implies #11998 #12964)
-#12973 := (iff #12969 #12972)
-#12974 := [rewrite]: #12973
-#12970 := (iff #3305 #12969)
-#12967 := (iff #3304 #12964)
-#12961 := (implies #12336 #12956)
-#12965 := (iff #12961 #12964)
-#12966 := [rewrite]: #12965
-#12962 := (iff #3304 #12961)
-#12959 := (iff #3303 #12956)
-#12952 := (implies #12336 #12947)
-#12957 := (iff #12952 #12956)
-#12958 := [rewrite]: #12957
-#12953 := (iff #3303 #12952)
-#12950 := (iff #3302 #12947)
-#12944 := (implies #12030 #12939)
-#12948 := (iff #12944 #12947)
-#12949 := [rewrite]: #12948
-#12945 := (iff #3302 #12944)
-#12942 := (iff #3301 #12939)
-#12935 := (implies #3177 #12930)
-#12940 := (iff #12935 #12939)
-#12941 := [rewrite]: #12940
-#12936 := (iff #3301 #12935)
-#12933 := (iff #3300 #12930)
-#12926 := (implies #3178 #12921)
-#12931 := (iff #12926 #12930)
-#12932 := [rewrite]: #12931
-#12927 := (iff #3300 #12926)
-#12924 := (iff #3299 #12921)
-#12917 := (implies #3179 #12912)
-#12922 := (iff #12917 #12921)
-#12923 := [rewrite]: #12922
-#12918 := (iff #3299 #12917)
-#12915 := (iff #3298 #12912)
-#12908 := (implies #3180 #12903)
-#12913 := (iff #12908 #12912)
-#12914 := [rewrite]: #12913
-#12909 := (iff #3298 #12908)
-#12906 := (iff #3297 #12903)
-#12899 := (implies #3183 #12887)
-#12904 := (iff #12899 #12903)
-#12905 := [rewrite]: #12904
-#12900 := (iff #3297 #12899)
-#12897 := (iff #3296 #12887)
-#12892 := (implies true #12887)
-#12895 := (iff #12892 #12887)
-#12896 := [rewrite]: #12895
-#12893 := (iff #3296 #12892)
-#12890 := (iff #3295 #12887)
-#12884 := (implies #11998 #12881)
-#12888 := (iff #12884 #12887)
-#12889 := [rewrite]: #12888
-#12885 := (iff #3295 #12884)
-#12882 := (iff #3294 #12881)
-#12879 := (iff #3293 #12869)
-#12874 := (implies true #12869)
-#12877 := (iff #12874 #12869)
-#12878 := [rewrite]: #12877
-#12875 := (iff #3293 #12874)
-#12872 := (iff #3292 #12869)
-#12866 := (implies #11998 #12861)
-#12870 := (iff #12866 #12869)
-#12871 := [rewrite]: #12870
-#12867 := (iff #3292 #12866)
-#12864 := (iff #3291 #12861)
-#12857 := (implies #3287 #12852)
-#12862 := (iff #12857 #12861)
-#12863 := [rewrite]: #12862
-#12858 := (iff #3291 #12857)
-#12855 := (iff #3290 #12852)
-#12849 := (implies #11998 #12837)
-#12853 := (iff #12849 #12852)
-#12854 := [rewrite]: #12853
-#12850 := (iff #3290 #12849)
-#12847 := (iff #3289 #12837)
-#12842 := (implies true #12837)
-#12845 := (iff #12842 #12837)
-#12846 := [rewrite]: #12845
-#12843 := (iff #3289 #12842)
-#12840 := (iff #3288 #12837)
-#12834 := (implies #11998 #12195)
-#12838 := (iff #12834 #12837)
-#12839 := [rewrite]: #12838
-#12835 := (iff #3288 #12834)
-#12198 := (iff #3126 #12195)
-#12192 := (implies #11998 #12180)
-#12196 := (iff #12192 #12195)
-#12197 := [rewrite]: #12196
-#12193 := (iff #3126 #12192)
-#12190 := (iff #3125 #12180)
-#12185 := (implies true #12180)
-#12188 := (iff #12185 #12180)
-#12189 := [rewrite]: #12188
-#12186 := (iff #3125 #12185)
-#12183 := (iff #3124 #12180)
-#12177 := (implies #11998 #12174)
-#12181 := (iff #12177 #12180)
-#12182 := [rewrite]: #12181
-#12178 := (iff #3124 #12177)
-#12175 := (iff #3123 #12174)
-#12172 := (iff #3122 #12169)
-#12165 := (implies up_216 #12160)
-#12170 := (iff #12165 #12169)
-#12171 := [rewrite]: #12170
-#12166 := (iff #3122 #12165)
-#12163 := (iff #3121 #12160)
-#12157 := (implies #11998 #12145)
-#12161 := (iff #12157 #12160)
-#12162 := [rewrite]: #12161
-#12158 := (iff #3121 #12157)
-#12155 := (iff #3120 #12145)
-#12150 := (implies true #12145)
-#12153 := (iff #12150 #12145)
-#12154 := [rewrite]: #12153
-#12151 := (iff #3120 #12150)
-#12148 := (iff #3119 #12145)
-#12142 := (implies #11998 #12137)
-#12146 := (iff #12142 #12145)
-#12147 := [rewrite]: #12146
-#12143 := (iff #3119 #12142)
-#12140 := (iff #3118 #12137)
-#12133 := (implies #11998 #12121)
-#12138 := (iff #12133 #12137)
-#12139 := [rewrite]: #12138
-#12134 := (iff #3118 #12133)
-#12131 := (iff #3117 #12121)
-#12126 := (implies true #12121)
-#12129 := (iff #12126 #12121)
-#12130 := [rewrite]: #12129
-#12127 := (iff #3117 #12126)
-#12124 := (iff #3116 #12121)
-#12117 := (implies #12035 #12112)
-#12122 := (iff #12117 #12121)
-#12123 := [rewrite]: #12122
-#12118 := (iff #3116 #12117)
-#12115 := (iff #3115 #12112)
-#12108 := (implies #12038 #12103)
-#12113 := (iff #12108 #12112)
-#12114 := [rewrite]: #12113
-#12109 := (iff #3115 #12108)
-#12106 := (iff #3114 #12103)
-#12099 := (implies #12041 #12094)
-#12104 := (iff #12099 #12103)
-#12105 := [rewrite]: #12104
-#12100 := (iff #3114 #12099)
-#12097 := (iff #3113 #12094)
-#12090 := (implies #12044 #12080)
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-#12096 := [rewrite]: #12095
-#12091 := (iff #3113 #12090)
-#12088 := (iff #3112 #12080)
-#12083 := (implies true #12080)
-#12086 := (iff #12083 #12080)
-#12087 := [rewrite]: #12086
-#12084 := (iff #3112 #12083)
-#12081 := (iff #3111 #12080)
-#12078 := (iff #3110 #12075)
-#12071 := (implies #12059 #3107)
-#12076 := (iff #12071 #12075)
-#12077 := [rewrite]: #12076
-#12072 := (iff #3110 #12071)
-#12069 := (iff #3109 #3107)
-#12064 := (and #3107 true)
-#12067 := (iff #12064 #3107)
-#12068 := [rewrite]: #12067
-#12065 := (iff #3109 #12064)
-#12062 := (iff #3108 true)
-#12063 := [rewrite]: #12062
-#12066 := [monotonicity #12063]: #12065
-#12070 := [trans #12066 #12068]: #12069
-#12060 := (iff #3102 #12059)
-#12057 := (iff #3101 #12054)
-#12051 := (implies #412 #12048)
-#12055 := (iff #12051 #12054)
-#12056 := [rewrite]: #12055
-#12052 := (iff #3101 #12051)
-#12049 := (iff #3100 #12048)
-#12050 := [rewrite]: #12049
-#12053 := [monotonicity #12050]: #12052
-#12058 := [trans #12053 #12056]: #12057
-#12061 := [quant-intro #12058]: #12060
-#12073 := [monotonicity #12061 #12070]: #12072
-#12079 := [trans #12073 #12077]: #12078
-#12082 := [monotonicity #12061 #12079]: #12081
-#12085 := [monotonicity #12082]: #12084
-#12089 := [trans #12085 #12087]: #12088
-#12045 := (iff #3097 #12044)
-#12046 := [rewrite]: #12045
-#12092 := [monotonicity #12046 #12089]: #12091
-#12098 := [trans #12092 #12096]: #12097
-#12042 := (iff #3095 #12041)
-#12043 := [rewrite]: #12042
-#12101 := [monotonicity #12043 #12098]: #12100
-#12107 := [trans #12101 #12105]: #12106
-#12039 := (iff #3093 #12038)
-#12040 := [rewrite]: #12039
-#12110 := [monotonicity #12040 #12107]: #12109
-#12116 := [trans #12110 #12114]: #12115
-#12036 := (iff #3091 #12035)
-#12037 := [rewrite]: #12036
-#12119 := [monotonicity #12037 #12116]: #12118
-#12125 := [trans #12119 #12123]: #12124
-#12128 := [monotonicity #12125]: #12127
-#12132 := [trans #12128 #12130]: #12131
-#11999 := (iff #3074 #11998)
-#12000 := [rewrite]: #11999
-#12135 := [monotonicity #12000 #12132]: #12134
-#12141 := [trans #12135 #12139]: #12140
-#12144 := [monotonicity #12000 #12141]: #12143
-#12149 := [trans #12144 #12147]: #12148
-#12152 := [monotonicity #12149]: #12151
-#12156 := [trans #12152 #12154]: #12155
-#12159 := [monotonicity #12000 #12156]: #12158
-#12164 := [trans #12159 #12162]: #12163
-#12167 := [monotonicity #12164]: #12166
-#12173 := [trans #12167 #12171]: #12172
-#12176 := [monotonicity #12173]: #12175
-#12179 := [monotonicity #12000 #12176]: #12178
-#12184 := [trans #12179 #12182]: #12183
-#12187 := [monotonicity #12184]: #12186
-#12191 := [trans #12187 #12189]: #12190
-#12194 := [monotonicity #12000 #12191]: #12193
-#12199 := [trans #12194 #12197]: #12198
-#12836 := [monotonicity #12000 #12199]: #12835
-#12841 := [trans #12836 #12839]: #12840
-#12844 := [monotonicity #12841]: #12843
-#12848 := [trans #12844 #12846]: #12847
-#12851 := [monotonicity #12000 #12848]: #12850
-#12856 := [trans #12851 #12854]: #12855
-#12859 := [monotonicity #12856]: #12858
-#12865 := [trans #12859 #12863]: #12864
-#12868 := [monotonicity #12000 #12865]: #12867
-#12873 := [trans #12868 #12871]: #12872
-#12876 := [monotonicity #12873]: #12875
-#12880 := [trans #12876 #12878]: #12879
-#12832 := (iff #3286 #12822)
-#12827 := (implies true #12822)
-#12830 := (iff #12827 #12822)
-#12831 := [rewrite]: #12830
-#12828 := (iff #3286 #12827)
-#12825 := (iff #3285 #12822)
-#12819 := (implies #11998 #12814)
-#12823 := (iff #12819 #12822)
-#12824 := [rewrite]: #12823
-#12820 := (iff #3285 #12819)
-#12817 := (iff #3284 #12814)
-#12810 := (implies #3187 #12805)
-#12815 := (iff #12810 #12814)
-#12816 := [rewrite]: #12815
-#12811 := (iff #3284 #12810)
-#12808 := (iff #3283 #12805)
-#12802 := (implies #11998 #12790)
-#12806 := (iff #12802 #12805)
-#12807 := [rewrite]: #12806
-#12803 := (iff #3283 #12802)
-#12800 := (iff #3282 #12790)
-#12795 := (implies true #12790)
-#12798 := (iff #12795 #12790)
-#12799 := [rewrite]: #12798
-#12796 := (iff #3282 #12795)
-#12793 := (iff #3281 #12790)
-#12787 := (implies #11998 #12784)
-#12791 := (iff #12787 #12790)
-#12792 := [rewrite]: #12791
-#12788 := (iff #3281 #12787)
-#12785 := (iff #3280 #12784)
-#12782 := (iff #3279 #12779)
-#12776 := (implies #12375 #12773)
-#12780 := (iff #12776 #12779)
-#12781 := [rewrite]: #12780
-#12777 := (iff #3279 #12776)
-#12774 := (iff #3278 #12773)
-#12771 := (iff #3277 #12768)
-#12765 := (implies #12381 #12760)
-#12769 := (iff #12765 #12768)
-#12770 := [rewrite]: #12769
-#12766 := (iff #3277 #12765)
-#12763 := (iff #3276 #12760)
-#12757 := (implies #11998 #12754)
-#12761 := (iff #12757 #12760)
-#12762 := [rewrite]: #12761
-#12758 := (iff #3276 #12757)
-#12755 := (iff #3275 #12754)
-#12752 := (iff #3274 #12742)
-#12747 := (implies true #12742)
-#12750 := (iff #12747 #12742)
-#12751 := [rewrite]: #12750
-#12748 := (iff #3274 #12747)
-#12745 := (iff #3273 #12742)
-#12739 := (implies #11998 #12734)
-#12743 := (iff #12739 #12742)
-#12744 := [rewrite]: #12743
-#12740 := (iff #3273 #12739)
-#12737 := (iff #3272 #12734)
-#12730 := (implies #3262 #12725)
-#12735 := (iff #12730 #12734)
-#12736 := [rewrite]: #12735
-#12731 := (iff #3272 #12730)
-#12728 := (iff #3271 #12725)
-#12722 := (implies #11998 #12710)
-#12726 := (iff #12722 #12725)
-#12727 := [rewrite]: #12726
-#12723 := (iff #3271 #12722)
-#12720 := (iff #3270 #12710)
-#12715 := (implies true #12710)
-#12718 := (iff #12715 #12710)
-#12719 := [rewrite]: #12718
-#12716 := (iff #3270 #12715)
-#12713 := (iff #3269 #12710)
-#12707 := (implies #11998 #12702)
-#12711 := (iff #12707 #12710)
-#12712 := [rewrite]: #12711
-#12708 := (iff #3269 #12707)
-#12705 := (iff #3268 #12702)
-#12699 := (implies #11998 #12687)
-#12703 := (iff #12699 #12702)
-#12704 := [rewrite]: #12703
-#12700 := (iff #3268 #12699)
-#12697 := (iff #3267 #12687)
-#12692 := (implies true #12687)
-#12695 := (iff #12692 #12687)
-#12696 := [rewrite]: #12695
-#12693 := (iff #3267 #12692)
-#12690 := (iff #3266 #12687)
-#12683 := (implies #12668 #12678)
-#12688 := (iff #12683 #12687)
-#12689 := [rewrite]: #12688
-#12684 := (iff #3266 #12683)
-#12681 := (iff #3265 #12678)
-#12674 := (implies #12671 #12524)
-#12679 := (iff #12674 #12678)
-#12680 := [rewrite]: #12679
-#12675 := (iff #3265 #12674)
-#12534 := (iff #3244 #12524)
-#12529 := (implies true #12524)
-#12532 := (iff #12529 #12524)
-#12533 := [rewrite]: #12532
-#12530 := (iff #3244 #12529)
-#12527 := (iff #3243 #12524)
-#12520 := (implies #3209 #12517)
-#12525 := (iff #12520 #12524)
-#12526 := [rewrite]: #12525
-#12521 := (iff #3243 #12520)
-#12518 := (iff #3242 #12517)
-#12515 := (iff #3241 #12512)
-#12508 := (implies #12404 #12503)
-#12513 := (iff #12508 #12512)
-#12514 := [rewrite]: #12513
-#12509 := (iff #3241 #12508)
-#12506 := (iff #3240 #12503)
-#12499 := (implies #12407 #12494)
-#12504 := (iff #12499 #12503)
-#12505 := [rewrite]: #12504
-#12500 := (iff #3240 #12499)
-#12497 := (iff #3239 #12494)
-#12490 := (implies #3216 #12485)
-#12495 := (iff #12490 #12494)
-#12496 := [rewrite]: #12495
-#12491 := (iff #3239 #12490)
-#12488 := (iff #3238 #12485)
-#12481 := (implies #12410 #12471)
-#12486 := (iff #12481 #12485)
-#12487 := [rewrite]: #12486
-#12482 := (iff #3238 #12481)
-#12479 := (iff #3237 #12471)
-#12474 := (implies true #12471)
-#12477 := (iff #12474 #12471)
-#12478 := [rewrite]: #12477
-#12475 := (iff #3237 #12474)
-#12472 := (iff #3236 #12471)
-#12469 := (iff #3235 #12466)
-#12462 := (implies #3219 #12459)
-#12467 := (iff #12462 #12466)
-#12468 := [rewrite]: #12467
-#12463 := (iff #3235 #12462)
-#12460 := (iff #3234 #12459)
-#12457 := (iff #3233 #12454)
-#12450 := (implies #12425 #12431)
-#12455 := (iff #12450 #12454)
-#12456 := [rewrite]: #12455
-#12451 := (iff #3233 #12450)
-#12448 := (iff #3232 #12431)
-#12443 := (and #12431 true)
-#12446 := (iff #12443 #12431)
-#12447 := [rewrite]: #12446
-#12444 := (iff #3232 #12443)
-#12441 := (iff #3231 true)
-#12436 := (implies #12431 true)
-#12439 := (iff #12436 true)
-#12440 := [rewrite]: #12439
-#12437 := (iff #3231 #12436)
-#12434 := (iff #3230 true)
-#12435 := [rewrite]: #12434
-#12432 := (iff #3229 #12431)
-#12429 := (iff #3228 #12428)
-#12430 := [rewrite]: #12429
-#12433 := [monotonicity #12430]: #12432
-#12438 := [monotonicity #12433 #12435]: #12437
-#12442 := [trans #12438 #12440]: #12441
-#12445 := [monotonicity #12433 #12442]: #12444
-#12449 := [trans #12445 #12447]: #12448
-#12426 := (iff #3224 #12425)
-#12423 := (iff #3223 #12420)
-#12417 := (implies #412 #12414)
-#12421 := (iff #12417 #12420)
-#12422 := [rewrite]: #12421
-#12418 := (iff #3223 #12417)
-#12415 := (iff #3222 #12414)
-#12416 := [rewrite]: #12415
-#12419 := [monotonicity #12416]: #12418
-#12424 := [trans #12419 #12422]: #12423
-#12427 := [quant-intro #12424]: #12426
-#12452 := [monotonicity #12427 #12449]: #12451
-#12458 := [trans #12452 #12456]: #12457
-#12461 := [monotonicity #12427 #12458]: #12460
-#12464 := [monotonicity #12461]: #12463
-#12470 := [trans #12464 #12468]: #12469
-#12473 := [monotonicity #12470]: #12472
-#12476 := [monotonicity #12473]: #12475
-#12480 := [trans #12476 #12478]: #12479
-#12411 := (iff #3218 #12410)
-#12412 := [rewrite]: #12411
-#12483 := [monotonicity #12412 #12480]: #12482
-#12489 := [trans #12483 #12487]: #12488
-#12492 := [monotonicity #12489]: #12491
-#12498 := [trans #12492 #12496]: #12497
-#12408 := (iff #3215 #12407)
-#12396 := (= #3210 #12395)
-#12397 := [rewrite]: #12396
-#12409 := [monotonicity #12397]: #12408
-#12501 := [monotonicity #12409 #12498]: #12500
-#12507 := [trans #12501 #12505]: #12506
-#12405 := (iff #3213 #12404)
-#12402 := (iff #3212 #12401)
-#12403 := [monotonicity #12397]: #12402
-#12399 := (iff #3211 #12398)
-#12400 := [monotonicity #12397]: #12399
-#12406 := [monotonicity #12400 #12403]: #12405
-#12510 := [monotonicity #12406 #12507]: #12509
-#12516 := [trans #12510 #12514]: #12515
-#12519 := [monotonicity #12406 #12516]: #12518
-#12522 := [monotonicity #12519]: #12521
-#12528 := [trans #12522 #12526]: #12527
-#12531 := [monotonicity #12528]: #12530
-#12535 := [trans #12531 #12533]: #12534
-#12672 := (iff #3264 #12671)
-#12673 := [rewrite]: #12672
-#12676 := [monotonicity #12673 #12535]: #12675
-#12682 := [trans #12676 #12680]: #12681
-#12669 := (iff #3263 #12668)
-#12670 := [rewrite]: #12669
-#12685 := [monotonicity #12670 #12682]: #12684
-#12691 := [trans #12685 #12689]: #12690
-#12694 := [monotonicity #12691]: #12693
-#12698 := [trans #12694 #12696]: #12697
-#12701 := [monotonicity #12000 #12698]: #12700
-#12706 := [trans #12701 #12704]: #12705
-#12709 := [monotonicity #12000 #12706]: #12708
-#12714 := [trans #12709 #12712]: #12713
-#12717 := [monotonicity #12714]: #12716
-#12721 := [trans #12717 #12719]: #12720
-#12724 := [monotonicity #12000 #12721]: #12723
-#12729 := [trans #12724 #12727]: #12728
-#12732 := [monotonicity #12729]: #12731
-#12738 := [trans #12732 #12736]: #12737
-#12741 := [monotonicity #12000 #12738]: #12740
-#12746 := [trans #12741 #12744]: #12745
-#12749 := [monotonicity #12746]: #12748
-#12753 := [trans #12749 #12751]: #12752
-#12666 := (iff #3261 #12656)
-#12661 := (implies true #12656)
-#12664 := (iff #12661 #12656)
-#12665 := [rewrite]: #12664
-#12662 := (iff #3261 #12661)
-#12659 := (iff #3260 #12656)
-#12653 := (implies #11998 #12648)
-#12657 := (iff #12653 #12656)
-#12658 := [rewrite]: #12657
-#12654 := (iff #3260 #12653)
-#12651 := (iff #3259 #12648)
-#12644 := (implies #3198 #12639)
-#12649 := (iff #12644 #12648)
-#12650 := [rewrite]: #12649
-#12645 := (iff #3259 #12644)
-#12642 := (iff #3258 #12639)
-#12636 := (implies #11998 #12624)
-#12640 := (iff #12636 #12639)
-#12641 := [rewrite]: #12640
-#12637 := (iff #3258 #12636)
-#12634 := (iff #3257 #12624)
-#12629 := (implies true #12624)
-#12632 := (iff #12629 #12624)
-#12633 := [rewrite]: #12632
-#12630 := (iff #3257 #12629)
-#12627 := (iff #3256 #12624)
-#12621 := (implies #11998 #12618)
-#12625 := (iff #12621 #12624)
-#12626 := [rewrite]: #12625
-#12622 := (iff #3256 #12621)
-#12619 := (iff #3255 #12618)
-#12616 := (iff #3254 #12613)
-#12609 := (implies #12375 #12606)
-#12614 := (iff #12609 #12613)
-#12615 := [rewrite]: #12614
-#12610 := (iff #3254 #12609)
-#12607 := (iff #3253 #12606)
-#12604 := (iff #3252 #12601)
-#12597 := (implies #12381 #12592)
-#12602 := (iff #12597 #12601)
-#12603 := [rewrite]: #12602
-#12598 := (iff #3252 #12597)
-#12595 := (iff #3251 #12592)
-#12588 := (implies #12384 #12583)
-#12593 := (iff #12588 #12592)
-#12594 := [rewrite]: #12593
-#12589 := (iff #3251 #12588)
-#12586 := (iff #3250 #12583)
-#12579 := (implies #3201 #12574)
-#12584 := (iff #12579 #12583)
-#12585 := [rewrite]: #12584
-#12580 := (iff #3250 #12579)
-#12577 := (iff #3249 #12574)
-#12570 := (implies #3202 #12565)
-#12575 := (iff #12570 #12574)
-#12576 := [rewrite]: #12575
-#12571 := (iff #3249 #12570)
-#12568 := (iff #3248 #12565)
-#12561 := (implies #3073 #12549)
-#12566 := (iff #12561 #12565)
-#12567 := [rewrite]: #12566
-#12562 := (iff #3248 #12561)
-#12559 := (iff #3247 #12549)
-#12554 := (implies true #12549)
-#12557 := (iff #12554 #12549)
-#12558 := [rewrite]: #12557
-#12555 := (iff #3247 #12554)
-#12552 := (iff #3246 #12549)
-#12545 := (implies #12389 #12540)
-#12550 := (iff #12545 #12549)
-#12551 := [rewrite]: #12550
-#12546 := (iff #3246 #12545)
-#12543 := (iff #3245 #12540)
-#12536 := (implies #12392 #12524)
-#12541 := (iff #12536 #12540)
-#12542 := [rewrite]: #12541
-#12537 := (iff #3245 #12536)
-#12393 := (iff #3207 #12392)
-#12394 := [rewrite]: #12393
-#12538 := [monotonicity #12394 #12535]: #12537
-#12544 := [trans #12538 #12542]: #12543
-#12390 := (iff #3205 #12389)
-#12391 := [rewrite]: #12390
-#12547 := [monotonicity #12391 #12544]: #12546
-#12553 := [trans #12547 #12551]: #12552
-#12556 := [monotonicity #12553]: #12555
-#12560 := [trans #12556 #12558]: #12559
-#12387 := (iff #3203 #3073)
-#12388 := [rewrite]: #12387
-#12563 := [monotonicity #12388 #12560]: #12562
-#12569 := [trans #12563 #12567]: #12568
-#12572 := [monotonicity #12569]: #12571
-#12578 := [trans #12572 #12576]: #12577
-#12581 := [monotonicity #12578]: #12580
-#12587 := [trans #12581 #12585]: #12586
-#12385 := (iff #3200 #12384)
-#12386 := [rewrite]: #12385
-#12590 := [monotonicity #12386 #12587]: #12589
-#12596 := [trans #12590 #12594]: #12595
-#12382 := (iff #3196 #12381)
-#12379 := (iff #3195 #12378)
-#12380 := [rewrite]: #12379
-#12370 := (iff #3190 #12369)
-#12371 := [rewrite]: #12370
-#12383 := [monotonicity #12371 #12380]: #12382
-#12599 := [monotonicity #12383 #12596]: #12598
-#12605 := [trans #12599 #12603]: #12604
-#12608 := [monotonicity #12383 #12605]: #12607
-#12376 := (iff #3193 #12375)
-#12373 := (iff #3192 #12372)
-#12374 := [rewrite]: #12373
-#12377 := [monotonicity #12371 #12374]: #12376
-#12611 := [monotonicity #12377 #12608]: #12610
-#12617 := [trans #12611 #12615]: #12616
-#12620 := [monotonicity #12377 #12617]: #12619
-#12623 := [monotonicity #12000 #12620]: #12622
-#12628 := [trans #12623 #12626]: #12627
-#12631 := [monotonicity #12628]: #12630
-#12635 := [trans #12631 #12633]: #12634
-#12638 := [monotonicity #12000 #12635]: #12637
-#12643 := [trans #12638 #12641]: #12642
-#12646 := [monotonicity #12643]: #12645
-#12652 := [trans #12646 #12650]: #12651
-#12655 := [monotonicity #12000 #12652]: #12654
-#12660 := [trans #12655 #12658]: #12659
-#12663 := [monotonicity #12660]: #12662
-#12667 := [trans #12663 #12665]: #12666
-#12756 := [monotonicity #12667 #12753]: #12755
-#12759 := [monotonicity #12000 #12756]: #12758
-#12764 := [trans #12759 #12762]: #12763
-#12767 := [monotonicity #12383 #12764]: #12766
-#12772 := [trans #12767 #12770]: #12771
-#12775 := [monotonicity #12383 #12772]: #12774
-#12778 := [monotonicity #12377 #12775]: #12777
-#12783 := [trans #12778 #12781]: #12782
-#12786 := [monotonicity #12377 #12783]: #12785
-#12789 := [monotonicity #12000 #12786]: #12788
-#12794 := [trans #12789 #12792]: #12793
-#12797 := [monotonicity #12794]: #12796
-#12801 := [trans #12797 #12799]: #12800
-#12804 := [monotonicity #12000 #12801]: #12803
-#12809 := [trans #12804 #12807]: #12808
-#12812 := [monotonicity #12809]: #12811
-#12818 := [trans #12812 #12816]: #12817
-#12821 := [monotonicity #12000 #12818]: #12820
-#12826 := [trans #12821 #12824]: #12825
-#12829 := [monotonicity #12826]: #12828
-#12833 := [trans #12829 #12831]: #12832
-#12883 := [monotonicity #12833 #12880]: #12882
-#12886 := [monotonicity #12000 #12883]: #12885
-#12891 := [trans #12886 #12889]: #12890
-#12367 := (iff #3186 true)
-#12365 := (iff #12362 true)
-#12366 := [rewrite]: #12365
-#12363 := (iff #3186 #12362)
-#12360 := (iff #3185 true)
-#12361 := [rewrite]: #12360
-#12358 := (iff #3184 true)
-#12359 := [rewrite]: #12358
-#12364 := [monotonicity #12359 #12361]: #12363
-#12368 := [trans #12364 #12366]: #12367
-#12894 := [monotonicity #12368 #12891]: #12893
-#12898 := [trans #12894 #12896]: #12897
-#12901 := [monotonicity #12898]: #12900
-#12907 := [trans #12901 #12905]: #12906
-#12910 := [monotonicity #12907]: #12909
-#12916 := [trans #12910 #12914]: #12915
-#12919 := [monotonicity #12916]: #12918
-#12925 := [trans #12919 #12923]: #12924
-#12928 := [monotonicity #12925]: #12927
-#12934 := [trans #12928 #12932]: #12933
-#12937 := [monotonicity #12934]: #12936
-#12943 := [trans #12937 #12941]: #12942
-#12033 := (iff #3089 #12030)
-#12027 := (and #12024 #11932)
-#12031 := (iff #12027 #12030)
-#12032 := [rewrite]: #12031
-#12028 := (iff #3089 #12027)
-#11933 := (iff #3005 #11932)
-#11934 := [rewrite]: #11933
-#12025 := (iff #3088 #12024)
-#12026 := [rewrite]: #12025
-#12029 := [monotonicity #12026 #11934]: #12028
-#12034 := [trans #12029 #12032]: #12033
-#12946 := [monotonicity #12034 #12943]: #12945
-#12951 := [trans #12946 #12949]: #12950
-#12337 := (iff #3172 #12336)
-#12334 := (iff #3171 #12333)
-#12331 := (iff #3170 #12330)
-#12332 := [rewrite]: #12331
-#12335 := [monotonicity #12332]: #12334
-#12338 := [monotonicity #12335]: #12337
-#12954 := [monotonicity #12338 #12951]: #12953
-#12960 := [trans #12954 #12958]: #12959
-#12356 := (iff #3176 #12336)
-#12339 := (and true #12336)
-#12342 := (iff #12339 #12336)
-#12343 := [rewrite]: #12342
-#12354 := (iff #3176 #12339)
-#12352 := (iff #3175 #12336)
-#12350 := (iff #3175 #12339)
-#12348 := (iff #3174 #12336)
-#12346 := (iff #3174 #12339)
-#12344 := (iff #3173 #12336)
-#12340 := (iff #3173 #12339)
-#12328 := (iff #3163 true)
-#12323 := (forall (vars (?x783 T5)) (:pat #3159) true)
-#12326 := (iff #12323 true)
-#12327 := [elim-unused]: #12326
-#12324 := (iff #3163 #12323)
-#12321 := (iff #3162 true)
-#12273 := (= uf_9 #3147)
-#12285 := (implies #12273 #12273)
-#12288 := (iff #12285 true)
-#12289 := [rewrite]: #12288
-#12319 := (iff #3162 #12285)
-#12317 := (iff #3161 #12273)
-#12278 := (and true #12273)
-#12281 := (iff #12278 #12273)
-#12282 := [rewrite]: #12281
-#12315 := (iff #3161 #12278)
-#12274 := (iff #3148 #12273)
-#12275 := [rewrite]: #12274
-#12313 := (iff #3160 true)
-#12314 := [rewrite]: #12313
-#12316 := [monotonicity #12314 #12275]: #12315
-#12318 := [trans #12316 #12282]: #12317
-#12320 := [monotonicity #12275 #12318]: #12319
-#12322 := [trans #12320 #12289]: #12321
-#12325 := [quant-intro #12322]: #12324
-#12329 := [trans #12325 #12327]: #12328
-#12341 := [monotonicity #12329 #12338]: #12340
-#12345 := [trans #12341 #12343]: #12344
-#12311 := (iff #3156 true)
-#12266 := (forall (vars (?x780 T5)) (:pat #3136) true)
-#12269 := (iff #12266 true)
-#12270 := [elim-unused]: #12269
-#12309 := (iff #3156 #12266)
-#12307 := (iff #3155 true)
-#12305 := (iff #3155 #12285)
-#12303 := (iff #3154 #12273)
-#12301 := (iff #3154 #12278)
-#12299 := (iff #3153 true)
-#12300 := [rewrite]: #12299
-#12302 := [monotonicity #12300 #12275]: #12301
-#12304 := [trans #12302 #12282]: #12303
-#12306 := [monotonicity #12275 #12304]: #12305
-#12308 := [trans #12306 #12289]: #12307
-#12310 := [quant-intro #12308]: #12309
-#12312 := [trans #12310 #12270]: #12311
-#12347 := [monotonicity #12312 #12345]: #12346
-#12349 := [trans #12347 #12343]: #12348
-#12297 := (iff #3152 true)
-#12292 := (forall (vars (?x781 T5)) (:pat #3146) true)
-#12295 := (iff #12292 true)
-#12296 := [elim-unused]: #12295
-#12293 := (iff #3152 #12292)
-#12290 := (iff #3151 true)
-#12286 := (iff #3151 #12285)
-#12283 := (iff #3150 #12273)
-#12279 := (iff #3150 #12278)
-#12276 := (iff #3149 true)
-#12277 := [rewrite]: #12276
-#12280 := [monotonicity #12277 #12275]: #12279
-#12284 := [trans #12280 #12282]: #12283
-#12287 := [monotonicity #12275 #12284]: #12286
-#12291 := [trans #12287 #12289]: #12290
-#12294 := [quant-intro #12291]: #12293
-#12298 := [trans #12294 #12296]: #12297
-#12351 := [monotonicity #12298 #12349]: #12350
-#12353 := [trans #12351 #12343]: #12352
-#12271 := (iff #3143 true)
-#12267 := (iff #3143 #12266)
-#12264 := (iff #3142 true)
-#12253 := (= uf_261 #3139)
-#12256 := (not #12253)
-#12259 := (implies #12256 #12256)
-#12262 := (iff #12259 true)
-#12263 := [rewrite]: #12262
-#12260 := (iff #3142 #12259)
-#12257 := (iff #3141 #12256)
-#12254 := (iff #3140 #12253)
-#12255 := [rewrite]: #12254
-#12258 := [monotonicity #12255]: #12257
-#12261 := [monotonicity #12258 #12258]: #12260
-#12265 := [trans #12261 #12263]: #12264
-#12268 := [quant-intro #12265]: #12267
-#12272 := [trans #12268 #12270]: #12271
-#12355 := [monotonicity #12272 #12353]: #12354
-#12357 := [trans #12355 #12343]: #12356
-#12963 := [monotonicity #12357 #12960]: #12962
-#12968 := [trans #12963 #12966]: #12967
-#12971 := [monotonicity #12000 #12968]: #12970
-#12976 := [trans #12971 #12974]: #12975
-#12979 := [monotonicity #12976]: #12978
-#12983 := [trans #12979 #12981]: #12982
-#12986 := [monotonicity #12000 #12983]: #12985
-#12991 := [trans #12986 #12989]: #12990
-#12994 := [monotonicity #12991]: #12993
-#12998 := [trans #12994 #12996]: #12997
-#13001 := [monotonicity #12000 #12998]: #13000
-#13006 := [trans #13001 #13004]: #13005
-#13009 := [monotonicity #13006]: #13008
-#13013 := [trans #13009 #13011]: #13012
-#12251 := (iff #3133 true)
-#12246 := (implies true true)
-#12249 := (iff #12246 true)
-#12250 := [rewrite]: #12249
-#12247 := (iff #3133 #12246)
-#12244 := (iff #3132 true)
-#12239 := (implies #11998 true)
-#12242 := (iff #12239 true)
-#12243 := [rewrite]: #12242
-#12240 := (iff #3132 #12239)
-#12237 := (iff #3131 true)
-#12204 := (or #12203 #12195)
-#12212 := (or #12136 #12204)
-#12227 := (or #12136 #12212)
-#12232 := (implies false #12227)
-#12235 := (iff #12232 true)
-#12236 := [rewrite]: #12235
-#12233 := (iff #3131 #12232)
-#12230 := (iff #3130 #12227)
-#12224 := (implies #11998 #12212)
-#12228 := (iff #12224 #12227)
-#12229 := [rewrite]: #12228
-#12225 := (iff #3130 #12224)
-#12222 := (iff #3129 #12212)
-#12217 := (implies true #12212)
-#12220 := (iff #12217 #12212)
-#12221 := [rewrite]: #12220
-#12218 := (iff #3129 #12217)
-#12215 := (iff #3128 #12212)
-#12209 := (implies #11998 #12204)
-#12213 := (iff #12209 #12212)
-#12214 := [rewrite]: #12213
-#12210 := (iff #3128 #12209)
-#12207 := (iff #3127 #12204)
-#12200 := (implies #12030 #12195)
-#12205 := (iff #12200 #12204)
-#12206 := [rewrite]: #12205
-#12201 := (iff #3127 #12200)
-#12202 := [monotonicity #12034 #12199]: #12201
-#12208 := [trans #12202 #12206]: #12207
-#12211 := [monotonicity #12000 #12208]: #12210
-#12216 := [trans #12211 #12214]: #12215
-#12219 := [monotonicity #12216]: #12218
-#12223 := [trans #12219 #12221]: #12222
-#12226 := [monotonicity #12000 #12223]: #12225
-#12231 := [trans #12226 #12229]: #12230
-#12234 := [monotonicity #12023 #12231]: #12233
-#12238 := [trans #12234 #12236]: #12237
-#12241 := [monotonicity #12000 #12238]: #12240
-#12245 := [trans #12241 #12243]: #12244
-#12248 := [monotonicity #12245]: #12247
-#12252 := [trans #12248 #12250]: #12251
-#13016 := [monotonicity #12252 #13013]: #13015
-#13020 := [trans #13016 #13018]: #13019
-#13023 := [monotonicity #12000 #13020]: #13022
-#13028 := [trans #13023 #13026]: #13027
-#12020 := (iff #3085 #12019)
-#12017 := (iff #3084 #12016)
-#12018 := [rewrite]: #12017
-#12021 := [monotonicity #12018]: #12020
-#13031 := [monotonicity #12021 #13028]: #13030
-#13037 := [trans #13031 #13035]: #13036
-#12014 := (iff #3080 #12013)
-#12011 := (iff #3079 #12008)
-#12005 := (implies #412 #12002)
-#12009 := (iff #12005 #12008)
-#12010 := [rewrite]: #12009
-#12006 := (iff #3079 #12005)
-#12003 := (iff #3078 #12002)
-#12004 := [rewrite]: #12003
-#12007 := [monotonicity #12004]: #12006
-#12012 := [trans #12007 #12010]: #12011
-#12015 := [quant-intro #12012]: #12014
-#13040 := [monotonicity #12015 #13037]: #13039
-#13046 := [trans #13040 #13044]: #13045
-#13049 := [monotonicity #13046]: #13048
-#13055 := [trans #13049 #13053]: #13054
-#13058 := [monotonicity #12000 #13055]: #13057
-#13063 := [trans #13058 #13061]: #13062
-#13066 := [monotonicity #13063]: #13065
-#13072 := [trans #13066 #13070]: #13071
-#13075 := [monotonicity #13072]: #13074
-#13081 := [trans #13075 #13079]: #13080
-#13084 := [monotonicity #13081]: #13083
-#13090 := [trans #13084 #13088]: #13089
-#13093 := [monotonicity #13090]: #13092
-#13097 := [trans #13093 #13095]: #13096
-#11996 := (iff #3060 #11995)
-#11993 := (iff #3059 #3042)
-#11994 := [rewrite]: #11993
-#11997 := [monotonicity #11994]: #11996
-#13100 := [monotonicity #11997 #13097]: #13099
-#13106 := [trans #13100 #13104]: #13105
-#13109 := [monotonicity #11997 #13106]: #13108
-#11991 := (iff #3058 #11990)
-#11988 := (iff #3057 #11985)
-#11982 := (implies #412 #11979)
-#11986 := (iff #11982 #11985)
-#11987 := [rewrite]: #11986
-#11983 := (iff #3057 #11982)
-#11980 := (iff #3056 #11979)
-#11981 := [rewrite]: #11980
-#11984 := [monotonicity #11981]: #11983
-#11989 := [trans #11984 #11987]: #11988
-#11992 := [quant-intro #11989]: #11991
-#13112 := [monotonicity #11992 #13109]: #13111
-#13118 := [trans #13112 #13116]: #13117
-#13121 := [monotonicity #11992 #13118]: #13120
-#13124 := [monotonicity #13121]: #13123
-#13130 := [trans #13124 #13128]: #13129
-#13133 := [monotonicity #13130]: #13132
-#11976 := (iff #3050 #11975)
-#11973 := (iff #3049 #11972)
-#11970 := (iff #3048 #3047)
-#11971 := [rewrite]: #11970
-#11974 := [monotonicity #11971]: #11973
-#11977 := [monotonicity #11974]: #11976
-#13136 := [monotonicity #11977 #13133]: #13135
-#13142 := [trans #13136 #13140]: #13141
-#13145 := [monotonicity #13142]: #13144
-#13151 := [trans #13145 #13149]: #13150
-#13154 := [monotonicity #13151]: #13153
-#13160 := [trans #13154 #13158]: #13159
-#13163 := [monotonicity #13160]: #13162
-#13169 := [trans #13163 #13167]: #13168
-#13172 := [monotonicity #13169]: #13171
-#13178 := [trans #13172 #13176]: #13177
-#11968 := (iff #3039 #11967)
-#11965 := (iff #3038 #11964)
-#11966 := [rewrite]: #11965
-#11956 := (iff #3033 #11955)
-#11957 := [rewrite]: #11956
-#11969 := [monotonicity #11957 #11966]: #11968
-#13181 := [monotonicity #11969 #13178]: #13180
-#13187 := [trans #13181 #13185]: #13186
-#13190 := [monotonicity #11969 #13187]: #13189
-#11962 := (iff #3036 #11961)
-#11959 := (iff #3035 #11958)
-#11960 := [rewrite]: #11959
-#11963 := [monotonicity #11957 #11960]: #11962
-#13193 := [monotonicity #11963 #13190]: #13192
-#13199 := [trans #13193 #13197]: #13198
-#13202 := [monotonicity #11963 #13199]: #13201
-#11953 := (iff #3030 #11952)
-#11954 := [rewrite]: #11953
-#13205 := [monotonicity #11954 #13202]: #13204
-#13211 := [trans #13205 #13209]: #13210
-#13214 := [monotonicity #11954 #13211]: #13213
-#13217 := [monotonicity #13214]: #13216
-#13223 := [trans #13217 #13221]: #13222
-#11950 := (iff #3025 #11949)
-#11947 := (iff #3024 #11944)
-#11941 := (iff #11938 false)
-#11945 := (iff #11941 #11944)
-#11946 := [rewrite]: #11945
-#11942 := (iff #3024 #11941)
-#11939 := (iff #3023 #11938)
-#11940 := [rewrite]: #11939
-#11943 := [monotonicity #11940]: #11942
-#11948 := [trans #11943 #11946]: #11947
-#11951 := [quant-intro #11948]: #11950
-#13226 := [monotonicity #11951 #13223]: #13225
-#13232 := [trans #13226 #13230]: #13231
-#13235 := [monotonicity #13232]: #13234
-#13241 := [trans #13235 #13239]: #13240
-#13244 := [monotonicity #13241]: #13243
-#13250 := [trans #13244 #13248]: #13249
-#13253 := [monotonicity #13250]: #13252
-#13259 := [trans #13253 #13257]: #13258
-#13262 := [monotonicity #13259]: #13261
-#13268 := [trans #13262 #13266]: #13267
-#11936 := (iff #3006 #11935)
-#11930 := (iff #3003 #11929)
-#11931 := [rewrite]: #11930
-#11937 := [monotonicity #11931 #11934]: #11936
-#13271 := [monotonicity #11937 #13268]: #13270
-#13277 := [trans #13271 #13275]: #13276
-#11927 := (iff #3001 #11926)
-#11928 := [rewrite]: #11927
-#13280 := [monotonicity #11928 #13277]: #13279
-#13286 := [trans #13280 #13284]: #13285
-#13289 := [monotonicity #13286]: #13288
-#13293 := [trans #13289 #13291]: #13292
-#11924 := (iff #2999 #11923)
-#11921 := (iff #2998 #11920)
-#11918 := (iff #2997 #11917)
-#11915 := (iff #2996 #11914)
-#11912 := (iff #2995 #11911)
-#11909 := (iff #2994 #11908)
-#11910 := [rewrite]: #11909
-#11906 := (iff #2992 #11905)
-#11903 := (iff #2991 #11902)
-#11904 := [rewrite]: #11903
-#11907 := [monotonicity #11904]: #11906
-#11913 := [monotonicity #11907 #11910]: #11912
-#11900 := (iff #2989 #11899)
-#11901 := [rewrite]: #11900
-#11916 := [monotonicity #11901 #11913]: #11915
-#11897 := (iff #2987 #11896)
-#11898 := [rewrite]: #11897
-#11919 := [monotonicity #11898 #11916]: #11918
-#11894 := (iff #2985 #11893)
-#11895 := [rewrite]: #11894
-#11922 := [monotonicity #11895 #11919]: #11921
-#11891 := (iff #2983 #11889)
-#11892 := [rewrite]: #11891
-#11925 := [monotonicity #11892 #11922]: #11924
-#13296 := [monotonicity #11925 #13293]: #13295
-#13302 := [trans #13296 #13300]: #13301
-#13305 := [monotonicity #13302]: #13304
-#13311 := [trans #13305 #13309]: #13310
-#13314 := [monotonicity #13311]: #13313
-#13320 := [trans #13314 #13318]: #13319
-#13323 := [monotonicity #13320]: #13322
-#13329 := [trans #13323 #13327]: #13328
-#13332 := [monotonicity #13329]: #13331
-#13338 := [trans #13332 #13336]: #13337
-#13341 := [monotonicity #13338]: #13340
-#13347 := [trans #13341 #13345]: #13346
-#13350 := [monotonicity #13347]: #13349
-#13354 := [trans #13350 #13352]: #13353
-#13357 := [monotonicity #13354]: #13356
-#14265 := [trans #13357 #14263]: #14264
-#11888 := [asserted]: #3354
-#14266 := [mp #11888 #14265]: #14261
-#14284 := [not-or-elim #14266]: #14148
-#14287 := [and-elim #14284]: #11896
-#233 := (:var 0 T3)
-#2666 := (uf_48 #15 #233)
-#2667 := (pattern #2666)
-#11167 := (= uf_9 #2666)
-#11174 := (not #11167)
-#1259 := (uf_116 #15)
-#2669 := (uf_43 #233 #1259)
-#2670 := (= #15 #2669)
-#11175 := (or #2670 #11174)
-#11180 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2667) #11175)
-#18175 := (~ #11180 #11180)
-#18173 := (~ #11175 #11175)
-#18174 := [refl]: #18173
-#18176 := [nnf-pos #18174]: #18175
-#2668 := (= #2666 uf_9)
-#2671 := (implies #2668 #2670)
-#2672 := (forall (vars (?x710 T5) (?x711 T3)) (:pat #2667) #2671)
-#11181 := (iff #2672 #11180)
-#11178 := (iff #2671 #11175)
-#11171 := (implies #11167 #2670)
-#11176 := (iff #11171 #11175)
-#11177 := [rewrite]: #11176
-#11172 := (iff #2671 #11171)
-#11169 := (iff #2668 #11167)
-#11170 := [rewrite]: #11169
-#11173 := [monotonicity #11170]: #11172
-#11179 := [trans #11173 #11177]: #11178
-#11182 := [quant-intro #11179]: #11181
-#11166 := [asserted]: #2672
-#11185 := [mp #11166 #11182]: #11180
-#18177 := [mp~ #11185 #18176]: #11180
-#26143 := (not #11896)
-#26156 := (not #11180)
-#26157 := (or #26156 #26143 #26151)
-#26152 := (or #26151 #26143)
-#26158 := (or #26156 #26152)
-#26165 := (iff #26158 #26157)
-#26153 := (or #26143 #26151)
-#26160 := (or #26156 #26153)
-#26163 := (iff #26160 #26157)
-#26164 := [rewrite]: #26163
-#26161 := (iff #26158 #26160)
-#26154 := (iff #26152 #26153)
-#26155 := [rewrite]: #26154
-#26162 := [monotonicity #26155]: #26161
-#26166 := [trans #26162 #26164]: #26165
-#26159 := [quant-inst]: #26158
-#26167 := [mp #26159 #26166]: #26157
-#28515 := [unit-resolution #26167 #18177 #14287]: #26151
-#26726 := [monotonicity #28515 #28515]: #26939
-#26788 := [symm #26726]: #26936
-#26692 := (= uf_9 #26691)
-decl uf_196 :: (-> T4 T5 T5 T2)
-#26689 := (uf_196 uf_287 #26144 #26144)
-#26690 := (= uf_9 #26689)
-#26694 := (iff #26690 #26692)
-#2245 := (:var 0 T16)
-#21 := (:var 2 T5)
-#13 := (:var 3 T4)
-#2256 := (uf_200 #13 #21 #15 #2245)
-#2257 := (pattern #2256)
-#2259 := (uf_196 #13 #21 #15)
-#10130 := (= uf_9 #2259)
-#10126 := (= uf_9 #2256)
-#10133 := (iff #10126 #10130)
-#10136 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2257) #10133)
-#17817 := (~ #10136 #10136)
-#17815 := (~ #10133 #10133)
-#17816 := [refl]: #17815
-#17818 := [nnf-pos #17816]: #17817
-#2260 := (= #2259 uf_9)
-#2258 := (= #2256 uf_9)
-#2261 := (iff #2258 #2260)
-#2262 := (forall (vars (?x586 T4) (?x587 T5) (?x588 T5) (?x589 T16)) (:pat #2257) #2261)
-#10137 := (iff #2262 #10136)
-#10134 := (iff #2261 #10133)
-#10131 := (iff #2260 #10130)
-#10132 := [rewrite]: #10131
-#10128 := (iff #2258 #10126)
-#10129 := [rewrite]: #10128
-#10135 := [monotonicity #10129 #10132]: #10134
-#10138 := [quant-intro #10135]: #10137
-#10125 := [asserted]: #2262
-#10141 := [mp #10125 #10138]: #10136
-#17819 := [mp~ #10141 #17818]: #10136
-#26712 := (not #10136)
-#26713 := (or #26712 #26694)
-#26693 := (iff #26692 #26690)
-#26710 := (or #26712 #26693)
-#26715 := (iff #26710 #26713)
-#26717 := (iff #26713 #26713)
-#26697 := [rewrite]: #26717
-#26695 := (iff #26693 #26694)
-#26696 := [rewrite]: #26695
-#26716 := [monotonicity #26696]: #26715
-#26699 := [trans #26716 #26697]: #26715
-#26714 := [quant-inst]: #26710
-#26700 := [mp #26714 #26699]: #26713
-#26910 := [unit-resolution #26700 #17819]: #26694
-#26701 := (not #26694)
-#26729 := (or #26701 #26692)
-#26555 := (uf_13 #26144)
-#26801 := (uf_12 #26555)
-#26804 := (= uf_14 #26801)
-#26923 := (not #26804)
-#26924 := (iff #11905 #26923)
-#26921 := (iff #11902 #26804)
-#26940 := (iff #26804 #11902)
-#26916 := (= #26801 #2990)
-#26914 := (= #26555 #2977)
-#24974 := (uf_13 #2981)
-#28563 := (= #24974 #2977)
-#24977 := (= #2977 #24974)
-#2697 := (uf_43 #326 #161)
-#23148 := (pattern #2697)
-#2701 := (uf_13 #2697)
-#11245 := (= #326 #2701)
-#23155 := (forall (vars (?x720 T3) (?x721 int)) (:pat #23148) #11245)
-#11249 := (forall (vars (?x720 T3) (?x721 int)) #11245)
-#23158 := (iff #11249 #23155)
-#23156 := (iff #11245 #11245)
-#23157 := [refl]: #23156
-#23159 := [quant-intro #23157]: #23158
-#18200 := (~ #11249 #11249)
-#18198 := (~ #11245 #11245)
-#18199 := [refl]: #18198
-#18201 := [nnf-pos #18199]: #18200
-#2702 := (= #2701 #326)
-#2703 := (forall (vars (?x720 T3) (?x721 int)) #2702)
-#11250 := (iff #2703 #11249)
-#11247 := (iff #2702 #11245)
-#11248 := [rewrite]: #11247
-#11251 := [quant-intro #11248]: #11250
-#11244 := [asserted]: #2703
-#11254 := [mp #11244 #11251]: #11249
-#18202 := [mp~ #11254 #18201]: #11249
-#23160 := [mp #18202 #23159]: #23155
-#24921 := (not #23155)
-#24982 := (or #24921 #24977)
-#24983 := [quant-inst]: #24982
-#28497 := [unit-resolution #24983 #23160]: #24977
-#28564 := [symm #28497]: #28563
-#26907 := (= #26555 #24974)
-#28516 := (= #26144 #2981)
-#28517 := [symm #28515]: #28516
-#26913 := [monotonicity #28517]: #26907
-#26915 := [trans #26913 #28564]: #26914
-#26917 := [monotonicity #26915]: #26916
-#26919 := [monotonicity #26917]: #26940
-#26922 := [symm #26919]: #26921
-#26938 := [monotonicity #26922]: #26924
-#14289 := [and-elim #14284]: #11905
-#26948 := [mp #14289 #26938]: #26923
-#26793 := (uf_24 uf_287 #26144)
-#26794 := (= uf_9 #26793)
-#26955 := (= #2988 #26793)
-#26949 := (= #26793 #2988)
-#26930 := [monotonicity #28517]: #26949
-#26958 := [symm #26930]: #26955
-#14288 := [and-elim #14284]: #11899
-#26957 := [trans #14288 #26958]: #26794
-#26796 := (uf_48 #26144 #26555)
-#26797 := (= uf_9 #26796)
-#26962 := (= #2986 #26796)
-#26959 := (= #26796 #2986)
-#26960 := [monotonicity #28517 #26915]: #26959
-#26963 := [symm #26960]: #26962
-#26969 := [trans #14287 #26963]: #26797
-#26798 := (not #26797)
-#26795 := (not #26794)
-#27030 := (or #26795 #26798 #26804)
-#26567 := (uf_25 uf_287 #26144)
-#26799 := (= uf_26 #26567)
-#26995 := (= #2984 #26567)
-#26991 := (= #26567 #2984)
-#26992 := [monotonicity #28517]: #26991
-#26996 := [symm #26992]: #26995
-#14286 := [and-elim #14284]: #11893
-#26990 := [trans #14286 #26996]: #26799
-#26711 := (not #26690)
-#26997 := [hypothesis]: #26711
-#26593 := (uf_27 uf_287 #26144)
-#26594 := (= uf_9 #26593)
-#27000 := (= #2982 #26593)
-#26970 := (= #26593 #2982)
-#26998 := [monotonicity #28517]: #26970
-#27021 := [symm #26998]: #27000
-#14285 := [and-elim #14284]: #11889
-#27022 := [trans #14285 #27021]: #26594
-#26556 := (uf_23 #26555)
-#26563 := (= uf_9 #26556)
-#27046 := (= #2993 #26556)
-#27023 := (= #26556 #2993)
-#27024 := [monotonicity #26915]: #27023
-#27011 := [symm #27024]: #27046
-#14290 := [and-elim #14284]: #11908
-#27047 := [trans #14290 #27011]: #26563
-#14273 := [not-or-elim #14266]: #11935
-#14275 := [and-elim #14273]: #11932
-#2217 := (uf_196 #47 #23 #23)
-#2218 := (pattern #2217)
-#10011 := (= uf_9 #2217)
-#227 := (uf_55 #47)
-#3926 := (= uf_9 #227)
-#19374 := (not #3926)
-#144 := (uf_48 #23 #26)
-#3647 := (= uf_9 #144)
-#19249 := (not #3647)
-#19248 := (not #3644)
-#135 := (uf_27 #47 #23)
-#3629 := (= uf_9 #135)
-#10720 := (not #3629)
-#71 := (uf_23 #26)
-#3482 := (= uf_9 #71)
-#10775 := (not #3482)
-#21807 := (or #29 #10775 #10720 #19248 #19249 #11095 #19374 #10011)
-#21812 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #21807)
-#10026 := (and #52 #3482 #3629 #3644 #3647 #3650 #3926)
-#10029 := (not #10026)
-#10035 := (or #10011 #10029)
-#10040 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #10035)
-#21813 := (iff #10040 #21812)
-#21810 := (iff #10035 #21807)
-#21793 := (or #29 #10775 #10720 #19248 #19249 #11095 #19374)
-#21804 := (or #10011 #21793)
-#21808 := (iff #21804 #21807)
-#21809 := [rewrite]: #21808
-#21805 := (iff #10035 #21804)
-#21802 := (iff #10029 #21793)
-#21794 := (not #21793)
-#21797 := (not #21794)
-#21800 := (iff #21797 #21793)
-#21801 := [rewrite]: #21800
-#21798 := (iff #10029 #21797)
-#21795 := (iff #10026 #21794)
-#21796 := [rewrite]: #21795
-#21799 := [monotonicity #21796]: #21798
-#21803 := [trans #21799 #21801]: #21802
-#21806 := [monotonicity #21803]: #21805
-#21811 := [trans #21806 #21809]: #21810
-#21814 := [quant-intro #21811]: #21813
-#17785 := (~ #10040 #10040)
-#17783 := (~ #10035 #10035)
-#17784 := [refl]: #17783
-#17786 := [nnf-pos #17784]: #17785
-#2225 := (= #2217 uf_9)
-#72 := (= #71 uf_9)
-#2219 := (and #52 #72)
-#2220 := (and #147 #2219)
-#145 := (= #144 uf_9)
-#2221 := (and #145 #2220)
-#2222 := (and #143 #2221)
-#136 := (= #135 uf_9)
-#2223 := (and #136 #2222)
-#229 := (= #227 uf_9)
-#2224 := (and #229 #2223)
-#2226 := (implies #2224 #2225)
-#2227 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #2226)
-#10043 := (iff #2227 #10040)
-#9992 := (and #52 #3482)
-#9996 := (and #3650 #9992)
-#9999 := (and #3647 #9996)
-#10002 := (and #3644 #9999)
-#10005 := (and #3629 #10002)
-#10008 := (and #3926 #10005)
-#10017 := (not #10008)
-#10018 := (or #10017 #10011)
-#10023 := (forall (vars (?x572 T4) (?x573 T5)) (:pat #2218) #10018)
-#10041 := (iff #10023 #10040)
-#10038 := (iff #10018 #10035)
-#10032 := (or #10029 #10011)
-#10036 := (iff #10032 #10035)
-#10037 := [rewrite]: #10036
-#10033 := (iff #10018 #10032)
-#10030 := (iff #10017 #10029)
-#10027 := (iff #10008 #10026)
-#10028 := [rewrite]: #10027
-#10031 := [monotonicity #10028]: #10030
-#10034 := [monotonicity #10031]: #10033
-#10039 := [trans #10034 #10037]: #10038
-#10042 := [quant-intro #10039]: #10041
-#10024 := (iff #2227 #10023)
-#10021 := (iff #2226 #10018)
-#10014 := (implies #10008 #10011)
-#10019 := (iff #10014 #10018)
-#10020 := [rewrite]: #10019
-#10015 := (iff #2226 #10014)
-#10012 := (iff #2225 #10011)
-#10013 := [rewrite]: #10012
-#10009 := (iff #2224 #10008)
-#10006 := (iff #2223 #10005)
-#10003 := (iff #2222 #10002)
-#10000 := (iff #2221 #9999)
-#9997 := (iff #2220 #9996)
-#9994 := (iff #2219 #9992)
-#3483 := (iff #72 #3482)
-#3484 := [rewrite]: #3483
-#9995 := [monotonicity #3484]: #9994
-#9998 := [monotonicity #3652 #9995]: #9997
-#3648 := (iff #145 #3647)
-#3649 := [rewrite]: #3648
-#10001 := [monotonicity #3649 #9998]: #10000
-#10004 := [monotonicity #3646 #10001]: #10003
-#3631 := (iff #136 #3629)
-#3632 := [rewrite]: #3631
-#10007 := [monotonicity #3632 #10004]: #10006
-#3928 := (iff #229 #3926)
-#3929 := [rewrite]: #3928
-#10010 := [monotonicity #3929 #10007]: #10009
-#10016 := [monotonicity #10010 #10013]: #10015
-#10022 := [trans #10016 #10020]: #10021
-#10025 := [quant-intro #10022]: #10024
-#10044 := [trans #10025 #10042]: #10043
-#9991 := [asserted]: #2227
-#10045 := [mp #9991 #10044]: #10040
-#17787 := [mp~ #10045 #17786]: #10040
-#21815 := [mp #17787 #21814]: #21812
-#26800 := (not #26799)
-#26620 := (not #26594)
-#26564 := (not #26563)
-#24694 := (not #11932)
-#26728 := (not #21812)
-#26731 := (or #26728 #24694 #26564 #26620 #26690 #26795 #26798 #26800 #26804)
-#26802 := (= #26801 uf_14)
-#26803 := (or #26802 #26564 #26620 #26800 #26798 #26795 #24694 #26690)
-#26732 := (or #26728 #26803)
-#26783 := (iff #26732 #26731)
-#26810 := (or #24694 #26564 #26620 #26690 #26795 #26798 #26800 #26804)
-#26734 := (or #26728 #26810)
-#26781 := (iff #26734 #26731)
-#26782 := [rewrite]: #26781
-#26785 := (iff #26732 #26734)
-#26813 := (iff #26803 #26810)
-#26807 := (or #26804 #26564 #26620 #26800 #26798 #26795 #24694 #26690)
-#26811 := (iff #26807 #26810)
-#26812 := [rewrite]: #26811
-#26808 := (iff #26803 #26807)
-#26805 := (iff #26802 #26804)
-#26806 := [rewrite]: #26805
-#26809 := [monotonicity #26806]: #26808
-#26814 := [trans #26809 #26812]: #26813
-#26780 := [monotonicity #26814]: #26785
-#26779 := [trans #26780 #26782]: #26783
-#26733 := [quant-inst]: #26732
-#26784 := [mp #26733 #26779]: #26731
-#27048 := [unit-resolution #26784 #21815 #14275 #27047 #27022 #26997 #26990]: #27030
-#27049 := [unit-resolution #27048 #26969 #26957 #26948]: false
-#27110 := [lemma #27049]: #26690
-#26703 := (or #26701 #26711 #26692)
-#26704 := [def-axiom]: #26703
-#26724 := [unit-resolution #26704 #27110]: #26729
-#26730 := [unit-resolution #26724 #26910]: #26692
-#26789 := [trans #26730 #26788]: #11952
-#26725 := [hypothesis]: #13206
-#26791 := [unit-resolution #26725 #26789]: false
-#26792 := [lemma #26791]: #11952
-#23450 := (or #13206 #23447)
-#22451 := (forall (vars (?x778 int)) #22440)
-#22458 := (not #22451)
-#22436 := (forall (vars (?x776 int)) #22431)
-#22457 := (not #22436)
-#22459 := (or #22457 #22458)
-#22460 := (not #22459)
-#22489 := (or #22460 #22486)
-#22495 := (not #22489)
-#22496 := (or #12120 #12111 #12102 #12093 #22372 #13576 #13722 #22495)
-#22497 := (not #22496)
-#22275 := (forall (vars (?x786 int)) #22270)
-#22281 := (not #22275)
-#22282 := (or #22257 #22281)
-#22283 := (not #22282)
-#22312 := (or #22283 #22309)
-#22318 := (not #22312)
-#22319 := (or #13475 #22318)
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-#22502 := (or #22423 #22497)
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-#22519 := (not #22518)
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-#22558 := (or #13173 #13164 #13155 #13146 #18338 #18347 #22557)
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-#23354 := [refl]: #23353
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-#23359 := [monotonicity #23356]: #23358
-#23350 := (iff #22457 #23349)
-#23347 := (iff #22436 #23344)
-#23345 := (iff #22431 #22431)
-#23346 := [refl]: #23345
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-#23362 := [monotonicity #23351 #23359]: #23361
-#23365 := [monotonicity #23362]: #23364
-#23368 := [monotonicity #23365]: #23367
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-#23374 := [monotonicity #23371]: #23373
-#23377 := [monotonicity #23374]: #23376
-#23342 := (iff #22423 #23341)
-#23339 := (iff #22422 #23338)
-#23336 := (iff #22421 #23335)
-#23333 := (iff #22415 #23332)
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-#23231 := (iff #22275 #23228)
-#23229 := (iff #22270 #22270)
-#23230 := [refl]: #23229
-#23232 := [quant-intro #23230]: #23231
-#23235 := [monotonicity #23232]: #23234
-#23238 := [monotonicity #23235]: #23237
-#23241 := [monotonicity #23238]: #23240
-#23244 := [monotonicity #23241]: #23243
-#23247 := [monotonicity #23244]: #23246
-#23250 := [monotonicity #23247]: #23249
-#23253 := [monotonicity #23250]: #23252
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-#23259 := [monotonicity #23256]: #23258
-#23262 := [monotonicity #23259]: #23261
-#23265 := [monotonicity #23262]: #23264
-#23268 := [monotonicity #23265]: #23267
-#23271 := [monotonicity #23268]: #23270
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-#23300 := (iff #22375 #23299)
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-#23277 := [monotonicity #23274]: #23276
-#23280 := [monotonicity #23277]: #23279
-#23283 := [monotonicity #23280]: #23282
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-#23289 := [monotonicity #23286]: #23288
-#23292 := [monotonicity #23289]: #23291
-#23295 := [monotonicity #23292]: #23294
-#23298 := [monotonicity #23295]: #23297
-#23301 := [monotonicity #23298]: #23300
-#23310 := [monotonicity #23301 #23307]: #23309
-#23313 := [monotonicity #23310]: #23312
-#23316 := [monotonicity #23313]: #23315
-#23319 := [monotonicity #23316]: #23318
-#23322 := [monotonicity #23319]: #23321
-#23325 := [monotonicity #23322]: #23324
-#23328 := [monotonicity #23325]: #23327
-#23331 := [monotonicity #23328]: #23330
-#23334 := [monotonicity #23331]: #23333
-#23337 := [monotonicity #23334]: #23336
-#23340 := [monotonicity #23337]: #23339
-#23343 := [monotonicity #23340]: #23342
-#23380 := [monotonicity #23343 #23377]: #23379
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-#23214 := [refl]: #23213
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-#23219 := [monotonicity #23216]: #23218
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-#23401 := [monotonicity #23398]: #23400
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-#23437 := [monotonicity #23434]: #23436
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-#22485 := [trans #22480 #22483]: #22484
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-#20147 := [rewrite]: #20146
-#20150 := [monotonicity #20147]: #20149
-#20154 := [trans #20150 #20152]: #20153
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-#22435 := [trans #22430 #22433]: #22434
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-#22293 := [rewrite]: #22292
-#22296 := [monotonicity #22293]: #22295
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-#22303 := [monotonicity #22300]: #22302
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-#22368 := [monotonicity #22365]: #22367
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-#18738 := (iff #18359 #3045)
-#18739 := [rewrite]: #18738
-#18736 := (iff #18356 #3044)
-#18737 := [rewrite]: #18736
-#18734 := (iff #18353 #3043)
-#18735 := [rewrite]: #18734
-#18732 := (iff #18350 #3042)
-#18733 := [rewrite]: #18732
-#19045 := [monotonicity #18733 #18735 #18737 #18739 #18741 #19042]: #19044
-#19050 := [trans #19045 #19048]: #19049
-#19053 := [monotonicity #19050]: #19052
-#18730 := (iff #18344 #11961)
-#18731 := [rewrite]: #18730
-#19056 := [monotonicity #18731 #19053]: #19055
-#19061 := [trans #19056 #19059]: #19060
-#19064 := [monotonicity #19061]: #19063
-#18728 := (iff #18335 #11952)
-#18729 := [rewrite]: #18728
-#19067 := [monotonicity #18729 #19064]: #19066
-#19070 := [monotonicity #19067]: #19069
-#15946 := (exists (vars (?x778 int)) #15941)
-#15935 := (not #15932)
-#15949 := (or #15935 #15946)
-#15952 := (and #15932 #15949)
-#15955 := (or #12120 #12111 #12102 #12093 #13441 #13722 #15952)
-#15836 := (not #15833)
-#15842 := (or #13521 #15836)
-#15847 := (and #15833 #15842)
-#15850 := (or #13475 #15847)
-#15853 := (and #13470 #15850)
-#15865 := (or #12493 #13467 #13542 #15853 #15859)
-#15870 := (and #13454 #15820 #15865)
-#15896 := (or #12686 #12677 #13441 #13450 #13627 #15870)
-#15873 := (or #12582 #12573 #12600 #12591 #12548 #12539 #13576 #13450 #15870)
-#15876 := (and #12369 #12378 #15873)
-#15879 := (or #12612 #15876)
-#15882 := (and #12369 #12372 #15879)
-#15888 := (or #13441 #13628 #15882)
-#15901 := (and #15888 #15896)
-#15904 := (or #12600 #13441 #15901)
-#15907 := (and #12369 #12378 #15904)
-#15910 := (or #12612 #15907)
-#15913 := (and #12369 #12372 #15910)
-#15919 := (or #13441 #13721 #15913)
-#15958 := (and #15919 #15955)
-#15762 := (not #15759)
-#15964 := (or #12938 #12929 #12920 #12911 #12902 #15207 #13894 #13441 #13911 #13951 #13997 #15762 #15779 #15796 #15813 #15958)
-#15969 := (and #3042 #13429 #15964)
-#15748 := (not #15745)
-#15972 := (or #15748 #15969)
-#15975 := (and #15745 #15972)
-#15978 := (or #13392 #15975)
-#15981 := (and #13389 #15978)
-#15984 := (or #13173 #13164 #13155 #13146 #13182 #15981)
-#15987 := (and #11955 #11964 #15984)
-#15990 := (or #13194 #15987)
-#15993 := (and #11955 #11958 #15990)
-#15996 := (or #13206 #15993)
-#15999 := (and #11952 #15996)
-#16002 := (not #15999)
-#18723 := (~ #16002 #18722)
-#18719 := (not #15996)
-#18720 := (~ #18719 #18718)
-#18715 := (not #15993)
-#18716 := (~ #18715 #18714)
-#18711 := (not #15990)
-#18712 := (~ #18711 #18710)
-#18707 := (not #15987)
-#18708 := (~ #18707 #18706)
-#18703 := (not #15984)
-#18704 := (~ #18703 #18702)
-#18699 := (not #15981)
-#18700 := (~ #18699 #18698)
-#18695 := (not #15978)
-#18696 := (~ #18695 #18694)
-#18691 := (not #15975)
-#18692 := (~ #18691 #18690)
-#18687 := (not #15972)
-#18688 := (~ #18687 #18686)
-#18683 := (not #15969)
-#18684 := (~ #18683 #18682)
-#18679 := (not #15964)
-#18680 := (~ #18679 #18678)
-#18675 := (not #15958)
-#18676 := (~ #18675 #18674)
-#18671 := (not #15955)
-#18672 := (~ #18671 #18670)
-#18667 := (not #15952)
-#18668 := (~ #18667 #18666)
-#18663 := (not #15949)
-#18664 := (~ #18663 #18662)
-#18659 := (not #15946)
-#18660 := (~ #18659 #18658)
-#18656 := (~ #18655 #18655)
-#18657 := [refl]: #18656
-#18661 := [nnf-neg #18657]: #18660
-#18652 := (not #15935)
-#18653 := (~ #18652 #15932)
-#18650 := (~ #15932 #15932)
-#18648 := (~ #15927 #15927)
-#18649 := [refl]: #18648
-#18651 := [nnf-pos #18649]: #18650
-#18654 := [nnf-neg #18651]: #18653
-#18665 := [nnf-neg #18654 #18661]: #18664
-#18644 := (~ #15935 #18643)
-#18645 := [sk]: #18644
-#18669 := [nnf-neg #18645 #18665]: #18668
-#18629 := (~ #13725 #13725)
-#18630 := [refl]: #18629
-#18420 := (~ #18419 #18419)
-#18421 := [refl]: #18420
-#18627 := (~ #18626 #18626)
-#18628 := [refl]: #18627
-#18624 := (~ #18623 #18623)
-#18625 := [refl]: #18624
-#18621 := (~ #18620 #18620)
-#18622 := [refl]: #18621
-#18618 := (~ #18617 #18617)
-#18619 := [refl]: #18618
-#18673 := [nnf-neg #18619 #18622 #18625 #18628 #18421 #18630 #18669]: #18672
-#18614 := (not #15919)
-#18615 := (~ #18614 #18613)
-#18610 := (not #15913)
-#18611 := (~ #18610 #18609)
-#18606 := (not #15910)
-#18607 := (~ #18606 #18605)
-#18602 := (not #15907)
-#18603 := (~ #18602 #18601)
-#18598 := (not #15904)
-#18599 := (~ #18598 #18597)
-#18594 := (not #15901)
-#18595 := (~ #18594 #18593)
-#18590 := (not #15896)
-#18591 := (~ #18590 #18589)
-#18558 := (not #15870)
-#18559 := (~ #18558 #18557)
-#18554 := (not #15865)
-#18555 := (~ #18554 #18553)
-#18551 := (~ #18550 #18550)
-#18552 := [refl]: #18551
-#18547 := (not #15853)
-#18548 := (~ #18547 #18546)
-#18543 := (not #15850)
-#18544 := (~ #18543 #18542)
-#18539 := (not #15847)
-#18540 := (~ #18539 #18538)
-#18535 := (not #15842)
-#18536 := (~ #18535 #18534)
-#18531 := (not #15836)
-#18532 := (~ #18531 #15833)
-#18529 := (~ #15833 #15833)
-#18527 := (~ #15828 #15828)
-#18528 := [refl]: #18527
-#18530 := [nnf-pos #18528]: #18529
-#18533 := [nnf-neg #18530]: #18532
-#18525 := (~ #18524 #18524)
-#18526 := [refl]: #18525
-#18537 := [nnf-neg #18526 #18533]: #18536
-#18520 := (~ #15836 #18519)
-#18521 := [sk]: #18520
-#18541 := [nnf-neg #18521 #18537]: #18540
-#18505 := (~ #18504 #18504)
-#18506 := [refl]: #18505
-#18545 := [nnf-neg #18506 #18541]: #18544
-#18502 := (~ #13475 #13475)
-#18503 := [refl]: #18502
-#18549 := [nnf-neg #18503 #18545]: #18548
-#18500 := (~ #18499 #18499)
-#18501 := [refl]: #18500
-#18497 := (~ #18496 #18496)
-#18498 := [refl]: #18497
-#18494 := (~ #18493 #18493)
-#18495 := [refl]: #18494
-#18556 := [nnf-neg #18495 #18498 #18501 #18549 #18552]: #18555
-#18491 := (~ #18490 #18490)
-#18492 := [refl]: #18491
-#18488 := (~ #18487 #18487)
-#18489 := [refl]: #18488
-#18560 := [nnf-neg #18489 #18492 #18556]: #18559
-#18587 := (~ #13633 #13633)
-#18588 := [refl]: #18587
-#18485 := (~ #18484 #18484)
-#18486 := [refl]: #18485
-#18585 := (~ #18584 #18584)
-#18586 := [refl]: #18585
-#18582 := (~ #18581 #18581)
-#18583 := [refl]: #18582
-#18592 := [nnf-neg #18583 #18586 #18421 #18486 #18588 #18560]: #18591
-#18578 := (not #15888)
-#18579 := (~ #18578 #18577)
-#18574 := (not #15882)
-#18575 := (~ #18574 #18573)
-#18570 := (not #15879)
-#18571 := (~ #18570 #18569)
-#18566 := (not #15876)
-#18567 := (~ #18566 #18565)
-#18562 := (not #15873)
-#18563 := (~ #18562 #18561)
-#18482 := (~ #18481 #18481)
-#18483 := [refl]: #18482
-#18479 := (~ #18478 #18478)
-#18480 := [refl]: #18479
-#18476 := (~ #18475 #18475)
-#18477 := [refl]: #18476
-#18473 := (~ #18472 #18472)
-#18474 := [refl]: #18473
-#18462 := (~ #18461 #18461)
-#18463 := [refl]: #18462
-#18470 := (~ #18469 #18469)
-#18471 := [refl]: #18470
-#18467 := (~ #18466 #18466)
-#18468 := [refl]: #18467
-#18564 := [nnf-neg #18468 #18471 #18463 #18474 #18477 #18480 #18483 #18486 #18560]: #18563
-#18459 := (~ #18458 #18458)
-#18460 := [refl]: #18459
-#18450 := (~ #18449 #18449)
-#18451 := [refl]: #18450
-#18568 := [nnf-neg #18451 #18460 #18564]: #18567
-#18456 := (~ #18455 #18455)
-#18457 := [refl]: #18456
-#18572 := [nnf-neg #18457 #18568]: #18571
-#18453 := (~ #18452 #18452)
-#18454 := [refl]: #18453
-#18576 := [nnf-neg #18451 #18454 #18572]: #18575
-#18464 := (~ #13627 #13627)
-#18465 := [refl]: #18464
-#18580 := [nnf-neg #18421 #18465 #18576]: #18579
-#18596 := [nnf-neg #18580 #18592]: #18595
-#18600 := [nnf-neg #18463 #18421 #18596]: #18599
-#18604 := [nnf-neg #18451 #18460 #18600]: #18603
-#18608 := [nnf-neg #18457 #18604]: #18607
-#18612 := [nnf-neg #18451 #18454 #18608]: #18611
-#18447 := (~ #13722 #13722)
-#18448 := [refl]: #18447
-#18616 := [nnf-neg #18421 #18448 #18612]: #18615
-#18677 := [nnf-neg #18616 #18673]: #18676
-#18445 := (~ #18444 #18444)
-#18446 := [refl]: #18445
-#18442 := (~ #18441 #18441)
-#18443 := [refl]: #18442
-#18439 := (~ #18438 #18438)
-#18440 := [refl]: #18439
-#18435 := (not #15762)
-#18436 := (~ #18435 #15759)
-#18433 := (~ #15759 #15759)
-#18431 := (~ #15754 #15754)
-#18432 := [refl]: #18431
-#18434 := [nnf-pos #18432]: #18433
-#18437 := [nnf-neg #18434]: #18436
-#18429 := (~ #18428 #18428)
-#18430 := [refl]: #18429
-#18426 := (~ #18425 #18425)
-#18427 := [refl]: #18426
-#18423 := (~ #18422 #18422)
-#18424 := [refl]: #18423
-#18417 := (~ #18416 #18416)
-#18418 := [refl]: #18417
-#18414 := (~ #18413 #18413)
-#18415 := [refl]: #18414
-#18411 := (~ #18410 #18410)
-#18412 := [refl]: #18411
-#18408 := (~ #18407 #18407)
-#18409 := [refl]: #18408
-#18405 := (~ #18404 #18404)
-#18406 := [refl]: #18405
-#18402 := (~ #18401 #18401)
-#18403 := [refl]: #18402
-#18399 := (~ #18398 #18398)
-#18400 := [refl]: #18399
-#18681 := [nnf-neg #18400 #18403 #18406 #18409 #18412 #18415 #18418 #18421 #18424 #18427 #18430 #18437 #18440 #18443 #18446 #18677]: #18680
-#18396 := (~ #14154 #14154)
-#18397 := [refl]: #18396
-#18394 := (~ #13173 #13173)
-#18395 := [refl]: #18394
-#18685 := [nnf-neg #18395 #18397 #18681]: #18684
-#18391 := (not #15748)
-#18392 := (~ #18391 #15745)
-#18389 := (~ #15745 #15745)
-#18387 := (~ #15740 #15740)
-#18388 := [refl]: #18387
-#18390 := [nnf-pos #18388]: #18389
-#18393 := [nnf-neg #18390]: #18392
-#18689 := [nnf-neg #18393 #18685]: #18688
-#18383 := (~ #15748 #18382)
-#18384 := [sk]: #18383
-#18693 := [nnf-neg #18384 #18689]: #18692
-#18368 := (~ #18367 #18367)
-#18369 := [refl]: #18368
-#18697 := [nnf-neg #18369 #18693]: #18696
-#18365 := (~ #13392 #13392)
-#18366 := [refl]: #18365
-#18701 := [nnf-neg #18366 #18697]: #18700
-#18363 := (~ #18362 #18362)
-#18364 := [refl]: #18363
-#18360 := (~ #18359 #18359)
-#18361 := [refl]: #18360
-#18357 := (~ #18356 #18356)
-#18358 := [refl]: #18357
-#18354 := (~ #18353 #18353)
-#18355 := [refl]: #18354
-#18351 := (~ #18350 #18350)
-#18352 := [refl]: #18351
-#18705 := [nnf-neg #18352 #18355 #18358 #18361 #18364 #18701]: #18704
-#18348 := (~ #18347 #18347)
-#18349 := [refl]: #18348
-#18339 := (~ #18338 #18338)
-#18340 := [refl]: #18339
-#18709 := [nnf-neg #18340 #18349 #18705]: #18708
-#18345 := (~ #18344 #18344)
-#18346 := [refl]: #18345
-#18713 := [nnf-neg #18346 #18709]: #18712
-#18342 := (~ #18341 #18341)
-#18343 := [refl]: #18342
-#18717 := [nnf-neg #18340 #18343 #18713]: #18716
-#18336 := (~ #18335 #18335)
-#18337 := [refl]: #18336
-#18721 := [nnf-neg #18337 #18717]: #18720
-#18333 := (~ #13206 #13206)
-#18334 := [refl]: #18333
-#18724 := [nnf-neg #18334 #18721]: #18723
-#15232 := (or #12120 #12111 #12102 #12093 #13441 #13722 #13808)
-#15237 := (and #13744 #15232)
-#15243 := (or #12938 #12929 #12920 #12911 #12902 #15207 #13894 #13441 #13911 #13945 #13951 #13963 #13973 #13986 #13997 #15237)
-#15248 := (and #3042 #13429 #15243)
-#15251 := (or #13425 #15248)
-#15254 := (and #13422 #15251)
-#15257 := (or #13392 #15254)
-#15260 := (and #13389 #15257)
-#15263 := (or #13173 #13164 #13155 #13146 #13182 #15260)
-#15266 := (and #11955 #11964 #15263)
-#15269 := (or #13194 #15266)
-#15272 := (and #11955 #11958 #15269)
-#15275 := (or #13206 #15272)
-#15278 := (and #11952 #15275)
-#15281 := (not #15278)
-#16003 := (iff #15281 #16002)
-#16000 := (iff #15278 #15999)
-#15997 := (iff #15275 #15996)
-#15994 := (iff #15272 #15993)
-#15991 := (iff #15269 #15990)
-#15988 := (iff #15266 #15987)
-#15985 := (iff #15263 #15984)
-#15982 := (iff #15260 #15981)
-#15979 := (iff #15257 #15978)
-#15976 := (iff #15254 #15975)
-#15973 := (iff #15251 #15972)
-#15970 := (iff #15248 #15969)
-#15967 := (iff #15243 #15964)
-#15961 := (or #12938 #12929 #12920 #12911 #12902 #15207 #13894 #13441 #13911 #15762 #13951 #15779 #15796 #15813 #13997 #15958)
-#15965 := (iff #15961 #15964)
-#15966 := [rewrite]: #15965
-#15962 := (iff #15243 #15961)
-#15959 := (iff #15237 #15958)
-#15956 := (iff #15232 #15955)
-#15953 := (iff #13808 #15952)
-#15950 := (iff #13803 #15949)
-#15947 := (iff #13794 #15946)
-#15944 := (iff #13789 #15941)
-#15938 := (and #3103 #4070 #15127 #13751)
-#15942 := (iff #15938 #15941)
-#15943 := [rewrite]: #15942
-#15939 := (iff #13789 #15938)
-#15122 := (iff #4384 #15127)
-#15143 := -4294967295::int
-#15135 := (+ -4294967295::int #161)
-#15128 := (<= #15135 0::int)
-#15124 := (iff #15128 #15127)
-#15125 := [rewrite]: #15124
-#15129 := (iff #4384 #15128)
-#15130 := (= #4383 #15135)
-#15136 := (+ #161 -4294967295::int)
-#15132 := (= #15136 #15135)
-#15133 := [rewrite]: #15132
-#15137 := (= #4383 #15136)
-#15138 := (= #4382 -4294967295::int)
-#15144 := (* -1::int 4294967295::int)
-#15140 := (= #15144 -4294967295::int)
-#15141 := [rewrite]: #15140
-#15145 := (= #4382 #15144)
-#7505 := (= uf_76 4294967295::int)
-#947 := 65536::int
-#1322 := (* 65536::int 65536::int)
-#1327 := (- #1322 1::int)
-#1328 := (= uf_76 #1327)
-#7506 := (iff #1328 #7505)
-#7503 := (= #1327 4294967295::int)
-#1010 := 4294967296::int
-#7496 := (- 4294967296::int 1::int)
-#7501 := (= #7496 4294967295::int)
-#7502 := [rewrite]: #7501
-#7498 := (= #1327 #7496)
-#7467 := (= #1322 4294967296::int)
-#7468 := [rewrite]: #7467
-#7499 := [monotonicity #7468]: #7498
-#7504 := [trans #7499 #7502]: #7503
-#7507 := [monotonicity #7504]: #7506
-#7495 := [asserted]: #1328
-#7510 := [mp #7495 #7507]: #7505
-#15142 := [monotonicity #7510]: #15145
-#15139 := [trans #15142 #15141]: #15138
-#15134 := [monotonicity #15139]: #15137
-#15131 := [trans #15134 #15133]: #15130
-#15126 := [monotonicity #15131]: #15129
-#15123 := [trans #15126 #15125]: #15122
-#15940 := [monotonicity #15123]: #15939
-#15945 := [trans #15940 #15943]: #15944
-#15948 := [quant-intro #15945]: #15947
-#15936 := (iff #13797 #15935)
-#15933 := (iff #13777 #15932)
-#15930 := (iff #13772 #15927)
-#15924 := (or #14369 #13749 #13763)
-#15928 := (iff #15924 #15927)
-#15929 := [rewrite]: #15928
-#15925 := (iff #13772 #15924)
-#14366 := (iff #5606 #14369)
-#14371 := (iff #4391 #14370)
-#14368 := [monotonicity #15123]: #14371
-#14367 := [monotonicity #14368]: #14366
-#15926 := [monotonicity #14367]: #15925
-#15931 := [trans #15926 #15929]: #15930
-#15934 := [quant-intro #15931]: #15933
-#15937 := [monotonicity #15934]: #15936
-#15951 := [monotonicity #15937 #15948]: #15950
-#15954 := [monotonicity #15934 #15951]: #15953
-#15957 := [monotonicity #15954]: #15956
-#15922 := (iff #13744 #15919)
-#15916 := (or #13441 #15913 #13721)
-#15920 := (iff #15916 #15919)
-#15921 := [rewrite]: #15920
-#15917 := (iff #13744 #15916)
-#15914 := (iff #13715 #15913)
-#15911 := (iff #13709 #15910)
-#15908 := (iff #13704 #15907)
-#15905 := (iff #13696 #15904)
-#15902 := (iff #13687 #15901)
-#15899 := (iff #13682 #15896)
-#15893 := (or #12686 #12677 #13441 #13450 #15870 #13627)
-#15897 := (iff #15893 #15896)
-#15898 := [rewrite]: #15897
-#15894 := (iff #13682 #15893)
-#15871 := (iff #13571 #15870)
-#15868 := (iff #13563 #15865)
-#15862 := (or #12493 #13467 #15853 #13542 #15859)
-#15866 := (iff #15862 #15865)
-#15867 := [rewrite]: #15866
-#15863 := (iff #13563 #15862)
-#15860 := (iff #13548 #15859)
-#15857 := (iff #13545 #15856)
-#15823 := (iff #13456 #15820)
-#15765 := (+ 4294967295::int #13457)
-#15816 := (>= #15765 1::int)
-#15821 := (iff #15816 #15820)
-#15822 := [rewrite]: #15821
-#15817 := (iff #13456 #15816)
-#15766 := (= #13458 #15765)
-#15767 := [monotonicity #7510]: #15766
-#15818 := [monotonicity #15767]: #15817
-#15824 := [trans #15818 #15822]: #15823
-#15858 := [monotonicity #15824]: #15857
-#15861 := [monotonicity #15858]: #15860
-#15854 := (iff #13535 #15853)
-#15851 := (iff #13532 #15850)
-#15848 := (iff #13529 #15847)
-#15845 := (iff #13526 #15842)
-#15839 := (or #15836 #13521)
-#15843 := (iff #15839 #15842)
-#15844 := [rewrite]: #15843
-#15840 := (iff #13526 #15839)
-#15837 := (iff #13509 #15836)
-#15834 := (iff #13506 #15833)
-#15831 := (iff #13501 #15828)
-#15825 := (or #14369 #13478 #13492)
-#15829 := (iff #15825 #15828)
-#15830 := [rewrite]: #15829
-#15826 := (iff #13501 #15825)
-#15827 := [monotonicity #14367]: #15826
-#15832 := [trans #15827 #15830]: #15831
-#15835 := [quant-intro #15832]: #15834
-#15838 := [monotonicity #15835]: #15837
-#15841 := [monotonicity #15838]: #15840
-#15846 := [trans #15841 #15844]: #15845
-#15849 := [monotonicity #15835 #15846]: #15848
-#15852 := [monotonicity #15849]: #15851
-#15855 := [monotonicity #15852]: #15854
-#15864 := [monotonicity #15855 #15861]: #15863
-#15869 := [trans #15864 #15867]: #15868
-#15872 := [monotonicity #15824 #15869]: #15871
-#15895 := [monotonicity #15872]: #15894
-#15900 := [trans #15895 #15898]: #15899
-#15891 := (iff #13652 #15888)
-#15885 := (or #13441 #15882 #13628)
-#15889 := (iff #15885 #15888)
-#15890 := [rewrite]: #15889
-#15886 := (iff #13652 #15885)
-#15883 := (iff #13622 #15882)
-#15880 := (iff #13616 #15879)
-#15877 := (iff #13611 #15876)
-#15874 := (iff #13603 #15873)
-#15875 := [monotonicity #15872]: #15874
-#15878 := [monotonicity #15875]: #15877
-#15881 := [monotonicity #15878]: #15880
-#15884 := [monotonicity #15881]: #15883
-#15887 := [monotonicity #15884]: #15886
-#15892 := [trans #15887 #15890]: #15891
-#15903 := [monotonicity #15892 #15900]: #15902
-#15906 := [monotonicity #15903]: #15905
-#15909 := [monotonicity #15906]: #15908
-#15912 := [monotonicity #15909]: #15911
-#15915 := [monotonicity #15912]: #15914
-#15918 := [monotonicity #15915]: #15917
-#15923 := [trans #15918 #15921]: #15922
-#15960 := [monotonicity #15923 #15957]: #15959
-#15814 := (iff #13986 #15813)
-#15811 := (iff #13983 #15810)
-#15808 := (iff #13979 #15805)
-#15799 := (+ 255::int #13926)
-#15802 := (>= #15799 0::int)
-#15806 := (iff #15802 #15805)
-#15807 := [rewrite]: #15806
-#15803 := (iff #13979 #15802)
-#15800 := (= #13980 #15799)
-#1332 := (= uf_78 255::int)
-#7509 := [asserted]: #1332
-#15801 := [monotonicity #7509]: #15800
-#15804 := [monotonicity #15801]: #15803
-#15809 := [trans #15804 #15807]: #15808
-#15812 := [monotonicity #15809]: #15811
-#15815 := [monotonicity #15812]: #15814
-#15797 := (iff #13973 #15796)
-#15794 := (iff #13970 #15793)
-#15791 := (iff #13966 #15788)
-#15782 := (+ 4294967295::int #13897)
-#15785 := (>= #15782 0::int)
-#15789 := (iff #15785 #15788)
-#15790 := [rewrite]: #15789
-#15786 := (iff #13966 #15785)
-#15783 := (= #13967 #15782)
-#15784 := [monotonicity #7510]: #15783
-#15787 := [monotonicity #15784]: #15786
-#15792 := [trans #15787 #15790]: #15791
-#15795 := [monotonicity #15792]: #15794
-#15798 := [monotonicity #15795]: #15797
-#15780 := (iff #13963 #15779)
-#15777 := (iff #13960 #15776)
-#15774 := (iff #13957 #15771)
-#15768 := (>= #15765 0::int)
-#15772 := (iff #15768 #15771)
-#15773 := [rewrite]: #15772
-#15769 := (iff #13957 #15768)
-#15770 := [monotonicity #15767]: #15769
-#15775 := [trans #15770 #15773]: #15774
-#15778 := [monotonicity #15775]: #15777
-#15781 := [monotonicity #15778]: #15780
-#15763 := (iff #13945 #15762)
-#15760 := (iff #13942 #15759)
-#15757 := (iff #13937 #15754)
-#15751 := (or #14369 #13914 #13928)
-#15755 := (iff #15751 #15754)
-#15756 := [rewrite]: #15755
-#15752 := (iff #13937 #15751)
-#15753 := [monotonicity #14367]: #15752
-#15758 := [trans #15753 #15756]: #15757
-#15761 := [quant-intro #15758]: #15760
-#15764 := [monotonicity #15761]: #15763
-#15963 := [monotonicity #15764 #15781 #15798 #15815 #15960]: #15962
-#15968 := [trans #15963 #15966]: #15967
-#15971 := [monotonicity #15968]: #15970
-#15749 := (iff #13425 #15748)
-#15746 := (iff #13422 #15745)
-#15743 := (iff #13417 #15740)
-#15737 := (or #14369 #13395 #13407)
-#15741 := (iff #15737 #15740)
-#15742 := [rewrite]: #15741
-#15738 := (iff #13417 #15737)
-#15739 := [monotonicity #14367]: #15738
-#15744 := [trans #15739 #15742]: #15743
-#15747 := [quant-intro #15744]: #15746
-#15750 := [monotonicity #15747]: #15749
-#15974 := [monotonicity #15750 #15971]: #15973
-#15977 := [monotonicity #15747 #15974]: #15976
-#15980 := [monotonicity #15977]: #15979
-#15983 := [monotonicity #15980]: #15982
-#15986 := [monotonicity #15983]: #15985
-#15989 := [monotonicity #15986]: #15988
-#15992 := [monotonicity #15989]: #15991
-#15995 := [monotonicity #15992]: #15994
-#15998 := [monotonicity #15995]: #15997
-#16001 := [monotonicity #15998]: #16000
-#16004 := [monotonicity #16001]: #16003
-#14281 := (not #14133)
-#15282 := (iff #14281 #15281)
-#15279 := (iff #14133 #15278)
-#15276 := (iff #14130 #15275)
-#15273 := (iff #14125 #15272)
-#15270 := (iff #14119 #15269)
-#15267 := (iff #14114 #15266)
-#15264 := (iff #14106 #15263)
-#15261 := (iff #14085 #15260)
-#15258 := (iff #14082 #15257)
-#15255 := (iff #14079 #15254)
-#15252 := (iff #14076 #15251)
-#15249 := (iff #14071 #15248)
-#15246 := (iff #14063 #15243)
-#15240 := (or #12938 #12929 #12920 #12911 #12902 #15207 #13894 #13441 #15237 #13911 #13945 #13951 #13963 #13973 #13986 #13997)
-#15244 := (iff #15240 #15243)
-#15245 := [rewrite]: #15244
-#15241 := (iff #14063 #15240)
-#15238 := (iff #13870 #15237)
-#15235 := (iff #13865 #15232)
-#15217 := (or #12120 #12111 #12102 #12093 #13441 #13808)
-#15229 := (or #13441 #13722 #15217)
-#15233 := (iff #15229 #15232)
-#15234 := [rewrite]: #15233
-#15230 := (iff #13865 #15229)
-#15227 := (iff #13840 #15217)
-#15222 := (and true #15217)
-#15225 := (iff #15222 #15217)
-#15226 := [rewrite]: #15225
-#15223 := (iff #13840 #15222)
-#15220 := (iff #13835 #15217)
-#15214 := (or false #12120 #12111 #12102 #12093 #13441 #13808)
-#15218 := (iff #15214 #15217)
-#15219 := [rewrite]: #15218
-#15215 := (iff #13835 #15214)
-#15212 := (iff #12168 false)
-#15210 := (iff #12168 #3086)
-#14948 := (iff up_216 true)
-#10769 := [asserted]: up_216
-#14949 := [iff-true #10769]: #14948
-#15211 := [monotonicity #14949]: #15210
-#15213 := [trans #15211 #12023]: #15212
-#15216 := [monotonicity #15213]: #15215
-#15221 := [trans #15216 #15219]: #15220
-#15224 := [monotonicity #14949 #15221]: #15223
-#15228 := [trans #15224 #15226]: #15227
-#15231 := [monotonicity #15228]: #15230
-#15236 := [trans #15231 #15234]: #15235
-#15239 := [monotonicity #15236]: #15238
-#15208 := (iff #12203 #15207)
-#15205 := (iff #12030 #12024)
-#15200 := (and true #12024)
-#15203 := (iff #15200 #12024)
-#15204 := [rewrite]: #15203
-#15201 := (iff #12030 #15200)
-#15190 := (iff #11932 true)
-#15191 := [iff-true #14275]: #15190
-#15202 := [monotonicity #15191]: #15201
-#15206 := [trans #15202 #15204]: #15205
-#15209 := [monotonicity #15206]: #15208
-#15242 := [monotonicity #15209 #15239]: #15241
-#15247 := [trans #15242 #15245]: #15246
-#15250 := [monotonicity #15247]: #15249
-#15253 := [monotonicity #15250]: #15252
-#15256 := [monotonicity #15253]: #15255
-#15259 := [monotonicity #15256]: #15258
-#15262 := [monotonicity #15259]: #15261
-#15265 := [monotonicity #15262]: #15264
-#15268 := [monotonicity #15265]: #15267
-#15271 := [monotonicity #15268]: #15270
-#15274 := [monotonicity #15271]: #15273
-#15277 := [monotonicity #15274]: #15276
-#15280 := [monotonicity #15277]: #15279
-#15283 := [monotonicity #15280]: #15282
-#14282 := [not-or-elim #14266]: #14281
-#15284 := [mp #14282 #15283]: #15281
-#16005 := [mp #15284 #16004]: #16002
-#18725 := [mp~ #16005 #18724]: #18722
-#18726 := [mp #18725 #19070]: #19068
-#22593 := [mp #18726 #22592]: #22590
-#23453 := [mp #22593 #23452]: #23450
-#28844 := [unit-resolution #23453 #26792]: #23447
-#24677 := (or #23444 #23438)
-#24678 := [def-axiom]: #24677
-#28845 := [unit-resolution #24678 #28844]: #23438
-decl uf_15 :: (-> T5 T6 T2)
-decl uf_16 :: (-> T4 T5 T6)
-#26748 := (uf_16 uf_287 #26144)
-#27224 := (uf_15 #27137 #26748)
-#27225 := (= uf_9 #27224)
-#26749 := (uf_15 #26144 #26748)
-#26750 := (= uf_9 #26749)
-#26946 := (or #13206 #26750)
-#26937 := [monotonicity #28517 #28517]: #26936
-#26954 := [symm #26937]: #26939
-#26911 := [hypothesis]: #11952
-#26941 := [trans #26911 #26954]: #26692
-decl uf_53 :: (-> T4 T5 T6)
-#26739 := (uf_53 uf_287 #26144)
-#26740 := (uf_15 #23 #26739)
-#26745 := (pattern #26740)
-decl up_197 :: (-> T3 bool)
-#26743 := (up_197 #26555)
-#26741 := (= uf_9 #26740)
-#26742 := (not #26741)
-decl uf_147 :: (-> T5 T6 T2)
-decl uf_192 :: (-> T7 T6)
-decl uf_11 :: (-> T4 T5 T7)
-#26735 := (uf_11 uf_287 #26144)
-#26736 := (uf_192 #26735)
-#26737 := (uf_147 #23 #26736)
-#26738 := (= uf_9 #26737)
-#26755 := (or #26738 #26742 #26743)
-#26758 := (forall (vars (?x577 T5)) (:pat #26745) #26755)
-#26761 := (not #26758)
-#26751 := (not #26750)
-#26764 := (or #26620 #26751 #26761)
-#26943 := [hypothesis]: #26751
-#26837 := (or #26764 #26750)
-#26841 := [def-axiom]: #26837
-#26944 := [unit-resolution #26841 #26943]: #26764
-#14 := (:var 2 T4)
-#2166 := (uf_196 #14 #15 #23)
-#2228 := (pattern #2166)
-#2229 := (uf_53 #13 #21)
-#2230 := (uf_15 #23 #2229)
-#2231 := (pattern #2230)
-#2158 := (uf_11 #13 #15)
-#2236 := (uf_192 #2158)
-#2237 := (uf_147 #23 #2236)
-#10053 := (= uf_9 #2237)
-#10047 := (= uf_9 #2230)
-#21816 := (not #10047)
-#1382 := (uf_13 #21)
-#2232 := (up_197 #1382)
-#21831 := (or #2232 #21816 #10053)
-#21836 := (forall (vars (?x577 T5)) (:pat #2231) #21831)
-#21842 := (not #21836)
-#2145 := (uf_16 #14 #23)
-#2146 := (uf_15 #15 #2145)
-#9753 := (= uf_9 #2146)
-#21651 := (not #9753)
-#180 := (uf_27 #14 #15)
-#3747 := (= uf_9 #180)
-#10390 := (not #3747)
-#21843 := (or #10390 #21651 #21842)
-#21844 := (not #21843)
-#9801 := (= uf_9 #2166)
-#10077 := (not #9801)
-#21849 := (or #10077 #21844)
-#21852 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #21849)
-#2233 := (not #2232)
-#10050 := (and #2233 #10047)
-#10059 := (not #10050)
-#10060 := (or #10059 #10053)
-#10065 := (forall (vars (?x577 T5)) (:pat #2231) #10060)
-#10086 := (and #3747 #9753 #10065)
-#10089 := (or #10077 #10086)
-#10092 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #10089)
-#21853 := (iff #10092 #21852)
-#21850 := (iff #10089 #21849)
-#21847 := (iff #10086 #21844)
-#21839 := (and #3747 #9753 #21836)
-#21845 := (iff #21839 #21844)
-#21846 := [rewrite]: #21845
-#21840 := (iff #10086 #21839)
-#21837 := (iff #10065 #21836)
-#21834 := (iff #10060 #21831)
-#21817 := (or #2232 #21816)
-#21828 := (or #21817 #10053)
-#21832 := (iff #21828 #21831)
-#21833 := [rewrite]: #21832
-#21829 := (iff #10060 #21828)
-#21826 := (iff #10059 #21817)
-#21818 := (not #21817)
-#21821 := (not #21818)
-#21824 := (iff #21821 #21817)
-#21825 := [rewrite]: #21824
-#21822 := (iff #10059 #21821)
-#21819 := (iff #10050 #21818)
-#21820 := [rewrite]: #21819
-#21823 := [monotonicity #21820]: #21822
-#21827 := [trans #21823 #21825]: #21826
-#21830 := [monotonicity #21827]: #21829
-#21835 := [trans #21830 #21833]: #21834
-#21838 := [quant-intro #21835]: #21837
-#21841 := [monotonicity #21838]: #21840
-#21848 := [trans #21841 #21846]: #21847
-#21851 := [monotonicity #21848]: #21850
-#21854 := [quant-intro #21851]: #21853
-#17802 := (~ #10092 #10092)
-#17800 := (~ #10089 #10089)
-#17798 := (~ #10086 #10086)
-#17796 := (~ #10065 #10065)
-#17794 := (~ #10060 #10060)
-#17795 := [refl]: #17794
-#17797 := [nnf-pos #17795]: #17796
-#17792 := (~ #9753 #9753)
-#17793 := [refl]: #17792
-#17790 := (~ #3747 #3747)
-#17791 := [refl]: #17790
-#17799 := [monotonicity #17791 #17793 #17797]: #17798
-#17788 := (~ #10077 #10077)
-#17789 := [refl]: #17788
-#17801 := [monotonicity #17789 #17799]: #17800
-#17803 := [nnf-pos #17801]: #17802
-#2238 := (= #2237 uf_9)
-#2234 := (= #2230 uf_9)
-#2235 := (and #2233 #2234)
-#2239 := (implies #2235 #2238)
-#2240 := (forall (vars (?x577 T5)) (:pat #2231) #2239)
-#184 := (= #180 uf_9)
-#2241 := (and #184 #2240)
-#2151 := (= #2146 uf_9)
-#2242 := (and #2151 #2241)
-#2167 := (= #2166 uf_9)
-#2243 := (implies #2167 #2242)
-#2244 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #2243)
-#10095 := (iff #2244 #10092)
-#10068 := (and #3747 #10065)
-#10071 := (and #9753 #10068)
-#10078 := (or #10077 #10071)
-#10083 := (forall (vars (?x574 T4) (?x575 T5) (?x576 T5)) (:pat #2228) #10078)
-#10093 := (iff #10083 #10092)
-#10090 := (iff #10078 #10089)
-#10087 := (iff #10071 #10086)
-#10088 := [rewrite]: #10087
-#10091 := [monotonicity #10088]: #10090
-#10094 := [quant-intro #10091]: #10093
-#10084 := (iff #2244 #10083)
-#10081 := (iff #2243 #10078)
-#10074 := (implies #9801 #10071)
-#10079 := (iff #10074 #10078)
-#10080 := [rewrite]: #10079
-#10075 := (iff #2243 #10074)
-#10072 := (iff #2242 #10071)
-#10069 := (iff #2241 #10068)
-#10066 := (iff #2240 #10065)
-#10063 := (iff #2239 #10060)
-#10056 := (implies #10050 #10053)
-#10061 := (iff #10056 #10060)
-#10062 := [rewrite]: #10061
-#10057 := (iff #2239 #10056)
-#10054 := (iff #2238 #10053)
-#10055 := [rewrite]: #10054
-#10051 := (iff #2235 #10050)
-#10048 := (iff #2234 #10047)
-#10049 := [rewrite]: #10048
-#10052 := [monotonicity #10049]: #10051
-#10058 := [monotonicity #10052 #10055]: #10057
-#10064 := [trans #10058 #10062]: #10063
-#10067 := [quant-intro #10064]: #10066
-#3748 := (iff #184 #3747)
-#3749 := [rewrite]: #3748
-#10070 := [monotonicity #3749 #10067]: #10069
-#9754 := (iff #2151 #9753)
-#9755 := [rewrite]: #9754
-#10073 := [monotonicity #9755 #10070]: #10072
-#9802 := (iff #2167 #9801)
-#9803 := [rewrite]: #9802
-#10076 := [monotonicity #9803 #10073]: #10075
-#10082 := [trans #10076 #10080]: #10081
-#10085 := [quant-intro #10082]: #10084
-#10096 := [trans #10085 #10094]: #10095
-#10046 := [asserted]: #2244
-#10097 := [mp #10046 #10096]: #10092
-#17804 := [mp~ #10097 #17803]: #10092
-#21855 := [mp #17804 #21854]: #21852
-#26767 := (not #26764)
-#26859 := (not #21852)
-#26860 := (or #26859 #26711 #26767)
-#26744 := (or #26743 #26742 #26738)
-#26746 := (forall (vars (?x577 T5)) (:pat #26745) #26744)
-#26747 := (not #26746)
-#26752 := (or #26620 #26751 #26747)
-#26753 := (not #26752)
-#26754 := (or #26711 #26753)
-#26848 := (or #26859 #26754)
-#26832 := (iff #26848 #26860)
-#26770 := (or #26711 #26767)
-#26850 := (or #26859 #26770)
-#26888 := (iff #26850 #26860)
-#26836 := [rewrite]: #26888
-#26886 := (iff #26848 #26850)
-#26771 := (iff #26754 #26770)
-#26768 := (iff #26753 #26767)
-#26765 := (iff #26752 #26764)
-#26762 := (iff #26747 #26761)
-#26759 := (iff #26746 #26758)
-#26756 := (iff #26744 #26755)
-#26757 := [rewrite]: #26756
-#26760 := [quant-intro #26757]: #26759
-#26763 := [monotonicity #26760]: #26762
-#26766 := [monotonicity #26763]: #26765
-#26769 := [monotonicity #26766]: #26768
-#26772 := [monotonicity #26769]: #26771
-#26887 := [monotonicity #26772]: #26886
-#26838 := [trans #26887 #26836]: #26832
-#26849 := [quant-inst]: #26848
-#26834 := [mp #26849 #26838]: #26860
-#26942 := [unit-resolution #26834 #21855 #26944]: #26711
-#26708 := (not #26692)
-#26702 := (or #26701 #26690 #26708)
-#26698 := [def-axiom]: #26702
-#26945 := [unit-resolution #26698 #26942 #26941 #26910]: false
-#26947 := [lemma #26945]: #26946
-#28846 := [unit-resolution #26947 #26792]: #26750
-#26934 := (or #26751 #27225)
-#26912 := (= #26749 #27224)
-#26908 := (= #27224 #26749)
-#28528 := (= #27137 #26144)
-#28529 := [trans #28503 #28515]: #28528
-#26909 := [monotonicity #28529]: #26908
-#26932 := [symm #26909]: #26912
-#26920 := [hypothesis]: #26750
-#26933 := [trans #26920 #26932]: #27225
-#27226 := (not #27225)
-#26906 := [hypothesis]: #27226
-#26931 := [unit-resolution #26906 #26933]: false
-#26935 := [lemma #26931]: #26934
-#28847 := [unit-resolution #26935 #28846]: #27225
-#27261 := (or #11958 #27226)
-#27214 := (uf_43 #24854 #2980)
-#27215 := (uf_66 #27214 0::int #24854)
-#27219 := (uf_24 uf_287 #27215)
-#27220 := (= uf_9 #27219)
-#27221 := (not #27220)
-#27196 := (iff #18341 #27221)
-#27194 := (iff #11958 #27220)
-#27191 := (iff #27220 #11958)
-#27212 := (= #27219 #3034)
-#27210 := (= #27215 #3031)
-#28407 := (= #27214 #2979)
-#28405 := (= #2980 uf_288)
-#24973 := (= uf_288 #2980)
-#2698 := (uf_116 #2697)
-#11237 := (= #161 #2698)
-#23149 := (forall (vars (?x718 T3) (?x719 int)) (:pat #23148) #11237)
-#11241 := (forall (vars (?x718 T3) (?x719 int)) #11237)
-#23152 := (iff #11241 #23149)
-#23150 := (iff #11237 #11237)
-#23151 := [refl]: #23150
-#23153 := [quant-intro #23151]: #23152
-#18195 := (~ #11241 #11241)
-#18193 := (~ #11237 #11237)
-#18194 := [refl]: #18193
-#18196 := [nnf-pos #18194]: #18195
-#2699 := (= #2698 #161)
-#2700 := (forall (vars (?x718 T3) (?x719 int)) #2699)
-#11242 := (iff #2700 #11241)
-#11239 := (iff #2699 #11237)
-#11240 := [rewrite]: #11239
-#11243 := [quant-intro #11240]: #11242
-#11236 := [asserted]: #2700
-#11246 := [mp #11236 #11243]: #11241
-#18197 := [mp~ #11246 #18196]: #11241
-#23154 := [mp #18197 #23153]: #23149
-#24927 := (not #23149)
-#24978 := (or #24927 #24973)
-#24979 := [quant-inst]: #24978
-#28404 := [unit-resolution #24979 #23154]: #24973
-#28406 := [symm #28404]: #28405
-#28408 := [monotonicity #28401 #28406]: #28407
-#27211 := [monotonicity #28408 #28401]: #27210
-#27213 := [monotonicity #27211]: #27212
-#27193 := [monotonicity #27213]: #27191
-#27195 := [symm #27193]: #27194
-#27197 := [monotonicity #27195]: #27196
-#27209 := [hypothesis]: #18341
-#27192 := [mp #27209 #27197]: #27221
-#27216 := (uf_58 #3157 #27215)
-#27217 := (uf_136 #27216)
-#27218 := (= uf_9 #27217)
-#27231 := (or #27218 #27221)
-#27234 := (not #27231)
-decl uf_22 :: (-> T3 T2)
-#27227 := (uf_22 #24854)
-#27228 := (= uf_9 #27227)
-#2783 := (uf_22 uf_7)
-#28439 := (= #2783 #27227)
-#28436 := (= #27227 #2783)
-#28437 := [monotonicity #28401]: #28436
-#28440 := [symm #28437]: #28439
-#11413 := (= uf_9 #2783)
-#2784 := (= #2783 uf_9)
-#11415 := (iff #2784 #11413)
-#11416 := [rewrite]: #11415
-#11412 := [asserted]: #2784
-#11419 := [mp #11412 #11416]: #11413
-#28441 := [trans #11419 #28440]: #27228
-#27229 := (not #27228)
-#27257 := (or #27229 #27234)
-#28442 := [hypothesis]: #27225
-#27172 := (<= #24856 0::int)
-#27199 := (not #27172)
-#14280 := [not-or-elim #14266]: #13429
-#27155 := (* -1::int #24856)
-#27264 := (+ uf_286 #27155)
-#27265 := (<= #27264 0::int)
-#28422 := (not #24857)
-#28423 := (or #28422 #27265)
-#28424 := [th-lemma]: #28423
-#28425 := [unit-resolution #28424 #28421]: #27265
-#28431 := (not #27265)
-#27200 := (or #27199 #13428 #28431)
-#27201 := [th-lemma]: #27200
-#27202 := [unit-resolution #27201 #28425 #14280]: #27199
-#237 := (uf_22 #233)
-#247 := (:var 1 int)
-#762 := (:var 4 int)
-#2069 := (uf_43 #233 #762)
-#2070 := (uf_66 #2069 #247 #233)
-#1373 := (:var 5 T4)
-#2086 := (uf_25 #1373 #2070)
-#1365 := (:var 3 T5)
-#2067 := (uf_16 #1373 #1365)
-#268 := (:var 2 int)
-#2065 := (uf_124 #233 #268)
-#2066 := (uf_43 #2065 #762)
-#2068 := (uf_15 #2066 #2067)
-#2087 := (pattern #2068 #2086 #237)
-#1545 := (uf_59 #1373)
-#2084 := (uf_58 #1545 #2070)
-#2085 := (pattern #2068 #2084 #237)
-#2090 := (uf_136 #2084)
-#9561 := (= uf_9 #2090)
-#2088 := (uf_24 #1373 #2070)
-#9558 := (= uf_9 #2088)
-#21561 := (not #9558)
-#21562 := (or #21561 #9561)
-#21563 := (not #21562)
-#9502 := (= uf_9 #2068)
-#21537 := (not #9502)
-#2073 := (uf_55 #1373)
-#9499 := (= uf_9 #2073)
-#21536 := (not #9499)
-#4074 := (* -1::int #268)
-#6138 := (+ #247 #4074)
-#6735 := (>= #6138 0::int)
-#4336 := (>= #247 0::int)
-#19474 := (not #4336)
-#3955 := (= uf_9 #237)
-#10273 := (not #3955)
-#21569 := (or #10273 #19474 #6735 #21536 #21537 #21563)
-#21574 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #21569)
-#9564 := (not #9561)
-#9567 := (and #9558 #9564)
-#7802 := (not #6735)
-#9540 := (and #3955 #4336 #7802 #9499 #9502)
-#9545 := (not #9540)
-#9581 := (or #9545 #9567)
-#9584 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #9581)
-#21575 := (iff #9584 #21574)
-#21572 := (iff #9581 #21569)
-#21538 := (or #10273 #19474 #6735 #21536 #21537)
-#21566 := (or #21538 #21563)
-#21570 := (iff #21566 #21569)
-#21571 := [rewrite]: #21570
-#21567 := (iff #9581 #21566)
-#21564 := (iff #9567 #21563)
-#21565 := [rewrite]: #21564
-#21547 := (iff #9545 #21538)
-#21539 := (not #21538)
-#21542 := (not #21539)
-#21545 := (iff #21542 #21538)
-#21546 := [rewrite]: #21545
-#21543 := (iff #9545 #21542)
-#21540 := (iff #9540 #21539)
-#21541 := [rewrite]: #21540
-#21544 := [monotonicity #21541]: #21543
-#21548 := [trans #21544 #21546]: #21547
-#21568 := [monotonicity #21548 #21565]: #21567
-#21573 := [trans #21568 #21571]: #21572
-#21576 := [quant-intro #21573]: #21575
-#17668 := (~ #9584 #9584)
-#17666 := (~ #9581 #9581)
-#17667 := [refl]: #17666
-#17669 := [nnf-pos #17667]: #17668
-#2091 := (= #2090 uf_9)
-#2092 := (not #2091)
-#2089 := (= #2088 uf_9)
-#2093 := (and #2089 #2092)
-#1434 := (< #247 #268)
-#397 := (<= 0::int #247)
-#1435 := (and #397 #1434)
-#2075 := (= #2068 uf_9)
-#2076 := (and #2075 #1435)
-#238 := (= #237 uf_9)
-#2077 := (and #238 #2076)
-#2074 := (= #2073 uf_9)
-#2078 := (and #2074 #2077)
-#2094 := (implies #2078 #2093)
-#2095 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #2094)
-#9587 := (iff #2095 #9584)
-#9508 := (and #1435 #9502)
-#9513 := (and #3955 #9508)
-#9516 := (and #9499 #9513)
-#9522 := (not #9516)
-#9573 := (or #9522 #9567)
-#9578 := (forall (vars (?x526 T4) (?x527 int) (?x528 T5) (?x529 int) (?x530 int) (?x531 T3)) (:pat #2085 #2087) #9573)
-#9585 := (iff #9578 #9584)
-#9582 := (iff #9573 #9581)
-#9546 := (iff #9522 #9545)
-#9543 := (iff #9516 #9540)
-#7805 := (and #4336 #7802)
-#9531 := (and #7805 #9502)
-#9534 := (and #3955 #9531)
-#9537 := (and #9499 #9534)
-#9541 := (iff #9537 #9540)
-#9542 := [rewrite]: #9541
-#9538 := (iff #9516 #9537)
-#9535 := (iff #9513 #9534)
-#9532 := (iff #9508 #9531)
-#7806 := (iff #1435 #7805)
-#7803 := (iff #1434 #7802)
-#7804 := [rewrite]: #7803
-#4335 := (iff #397 #4336)
-#4337 := [rewrite]: #4335
-#7807 := [monotonicity #4337 #7804]: #7806
-#9533 := [monotonicity #7807]: #9532
-#9536 := [monotonicity #9533]: #9535
-#9539 := [monotonicity #9536]: #9538
-#9544 := [trans #9539 #9542]: #9543
-#9547 := [monotonicity #9544]: #9546
-#9583 := [monotonicity #9547]: #9582
-#9586 := [quant-intro #9583]: #9585
-#9579 := (iff #2095 #9578)
-#9576 := (iff #2094 #9573)
-#9570 := (implies #9516 #9567)
-#9574 := (iff #9570 #9573)
-#9575 := [rewrite]: #9574
-#9571 := (iff #2094 #9570)
-#9568 := (iff #2093 #9567)
-#9565 := (iff #2092 #9564)
-#9562 := (iff #2091 #9561)
-#9563 := [rewrite]: #9562
-#9566 := [monotonicity #9563]: #9565
-#9559 := (iff #2089 #9558)
-#9560 := [rewrite]: #9559
-#9569 := [monotonicity #9560 #9566]: #9568
-#9517 := (iff #2078 #9516)
-#9514 := (iff #2077 #9513)
-#9511 := (iff #2076 #9508)
-#9505 := (and #9502 #1435)
-#9509 := (iff #9505 #9508)
-#9510 := [rewrite]: #9509
-#9506 := (iff #2076 #9505)
-#9503 := (iff #2075 #9502)
-#9504 := [rewrite]: #9503
-#9507 := [monotonicity #9504]: #9506
-#9512 := [trans #9507 #9510]: #9511
-#3956 := (iff #238 #3955)
-#3957 := [rewrite]: #3956
-#9515 := [monotonicity #3957 #9512]: #9514
-#9500 := (iff #2074 #9499)
-#9501 := [rewrite]: #9500
-#9518 := [monotonicity #9501 #9515]: #9517
-#9572 := [monotonicity #9518 #9569]: #9571
-#9577 := [trans #9572 #9575]: #9576
-#9580 := [quant-intro #9577]: #9579
-#9588 := [trans #9580 #9586]: #9587
-#9557 := [asserted]: #2095
-#9589 := [mp #9557 #9588]: #9584
-#17670 := [mp~ #9589 #17669]: #9584
-#21577 := [mp #17670 #21576]: #21574
-#27245 := (not #21574)
-#27105 := (or #27245 #24694 #27172 #27226 #27229 #27234)
-#27222 := (or #27221 #27218)
-#27223 := (not #27222)
-#27156 := (+ 0::int #27155)
-#27157 := (>= #27156 0::int)
-#27158 := (>= 0::int 0::int)
-#27159 := (not #27158)
-#27230 := (or #27229 #27159 #27157 #24694 #27226 #27223)
-#27106 := (or #27245 #27230)
-#27127 := (iff #27106 #27105)
-#27240 := (or #24694 #27172 #27226 #27229 #27234)
-#27123 := (or #27245 #27240)
-#27125 := (iff #27123 #27105)
-#27126 := [rewrite]: #27125
-#27124 := (iff #27106 #27123)
-#27243 := (iff #27230 #27240)
-#27237 := (or #27229 false #27172 #24694 #27226 #27234)
-#27241 := (iff #27237 #27240)
-#27242 := [rewrite]: #27241
-#27238 := (iff #27230 #27237)
-#27235 := (iff #27223 #27234)
-#27232 := (iff #27222 #27231)
-#27233 := [rewrite]: #27232
-#27236 := [monotonicity #27233]: #27235
-#27175 := (iff #27157 #27172)
-#27169 := (>= #27155 0::int)
-#27173 := (iff #27169 #27172)
-#27174 := [rewrite]: #27173
-#27170 := (iff #27157 #27169)
-#27167 := (= #27156 #27155)
-#27168 := [rewrite]: #27167
-#27171 := [monotonicity #27168]: #27170
-#27176 := [trans #27171 #27174]: #27175
-#27165 := (iff #27159 false)
-#27163 := (iff #27159 #3086)
-#27161 := (iff #27158 true)
-#27162 := [rewrite]: #27161
-#27164 := [monotonicity #27162]: #27163
-#27166 := [trans #27164 #12023]: #27165
-#27239 := [monotonicity #27166 #27176 #27236]: #27238
-#27244 := [trans #27239 #27242]: #27243
-#27122 := [monotonicity #27244]: #27124
-#27128 := [trans #27122 #27126]: #27127
-#27107 := [quant-inst]: #27106
-#27129 := [mp #27107 #27128]: #27105
-#27258 := [unit-resolution #27129 #21577 #14275 #27202 #28442]: #27257
-#27259 := [unit-resolution #27258 #28441]: #27234
-#27205 := (or #27231 #27220)
-#27206 := [def-axiom]: #27205
-#27260 := [unit-resolution #27206 #27259 #27192]: false
-#27262 := [lemma #27260]: #27261
-#28848 := [unit-resolution #27262 #28847]: #11958
-#26988 := (or #23426 #18341 #23441)
-#26983 := [hypothesis]: #23438
-#26984 := [hypothesis]: #11958
-#26985 := [hypothesis]: #23429
-#24651 := (or #23426 #11955)
-#24652 := [def-axiom]: #24651
-#26980 := [unit-resolution #24652 #26985]: #11955
-#24663 := (or #23432 #23426)
-#24664 := [def-axiom]: #24663
-#26986 := [unit-resolution #24664 #26985]: #23432
-#24673 := (or #23441 #18338 #18341 #23435)
-#24674 := [def-axiom]: #24673
-#26987 := [unit-resolution #24674 #26986 #26980 #26984 #26983]: false
-#26989 := [lemma #26987]: #26988
-#28849 := [unit-resolution #26989 #28848 #28845]: #23426
-#28584 := (or #11964 #27226)
-#26967 := (uf_58 #3157 #3031)
-#27290 := (uf_135 #26967)
-#27293 := (uf_25 uf_287 #27290)
-#27294 := (= uf_26 #27293)
-#27291 := (uf_210 uf_287 #27290)
-#27292 := (= uf_9 #27291)
-#27400 := (or #27292 #27294)
-#27413 := (not #27400)
-#27282 := (uf_136 #26967)
-#27283 := (= uf_9 #27282)
-#27284 := (not #27283)
-#27280 := (uf_27 uf_287 #27290)
-#27281 := (= uf_9 #27280)
-#27276 := (not #27281)
-#27395 := (or #27276 #27284)
-#27397 := (not #27395)
-#27031 := (uf_13 #3031)
-#27305 := (uf_12 #27031)
-#27355 := (= uf_14 #27305)
-#27392 := (not #27355)
-#27277 := (uf_13 #27290)
-#27278 := (uf_12 #27277)
-#27279 := (= uf_14 #27278)
-#27438 := (or #27279 #27392 #27397 #27413)
-#27442 := (not #27438)
-#27311 := (uf_25 uf_287 #3031)
-#27312 := (= uf_26 #27311)
-#27304 := (uf_210 uf_287 #3031)
-#27310 := (= uf_9 #27304)
-#27357 := (or #27310 #27312)
-#27360 := (not #27357)
-#27403 := (or #27355 #27360)
-#27406 := (not #27403)
-#27450 := (or #27406 #27442)
-#27454 := (not #27450)
-#27451 := (or #18341 #27454)
-#27459 := (not #27451)
-#27466 := (iff #11964 #27459)
-#27471 := (or #27470 #27466)
-#27295 := (or #27294 #27292)
-#27296 := (not #27295)
-#27285 := (or #27284 #27276)
-#27286 := (not #27285)
-#27306 := (= #27305 uf_14)
-#27307 := (not #27306)
-#27308 := (or #27307 #27286 #27279 #27296)
-#27309 := (not #27308)
-#27313 := (or #27312 #27310)
-#27314 := (not #27313)
-#27362 := (or #27306 #27314)
-#27363 := (not #27362)
-#27364 := (or #27363 #27309)
-#27365 := (not #27364)
-#27366 := (or #18341 #27365)
-#27367 := (not #27366)
-#27354 := (iff #11964 #27367)
-#27472 := (or #27470 #27354)
-#27499 := (iff #27472 #27471)
-#27501 := (iff #27471 #27471)
-#27502 := [rewrite]: #27501
-#27467 := (iff #27354 #27466)
-#27460 := (iff #27367 #27459)
-#27457 := (iff #27366 #27451)
-#27455 := (iff #27365 #27454)
-#27452 := (iff #27364 #27450)
-#27443 := (iff #27309 #27442)
-#27440 := (iff #27308 #27438)
-#27435 := (or #27392 #27397 #27279 #27413)
-#27439 := (iff #27435 #27438)
-#27434 := [rewrite]: #27439
-#27436 := (iff #27308 #27435)
-#27414 := (iff #27296 #27413)
-#27401 := (iff #27295 #27400)
-#27412 := [rewrite]: #27401
-#27433 := [monotonicity #27412]: #27414
-#27398 := (iff #27286 #27397)
-#27396 := (iff #27285 #27395)
-#27391 := [rewrite]: #27396
-#27399 := [monotonicity #27391]: #27398
-#27393 := (iff #27307 #27392)
-#27353 := (iff #27306 #27355)
-#27356 := [rewrite]: #27353
-#27394 := [monotonicity #27356]: #27393
-#27437 := [monotonicity #27394 #27399 #27433]: #27436
-#27441 := [trans #27437 #27434]: #27440
-#27444 := [monotonicity #27441]: #27443
-#27407 := (iff #27363 #27406)
-#27404 := (iff #27362 #27403)
-#27361 := (iff #27314 #27360)
-#27358 := (iff #27313 #27357)
-#27359 := [rewrite]: #27358
-#27402 := [monotonicity #27359]: #27361
-#27405 := [monotonicity #27356 #27402]: #27404
-#27390 := [monotonicity #27405]: #27407
-#27453 := [monotonicity #27390 #27444]: #27452
-#27456 := [monotonicity #27453]: #27455
-#27458 := [monotonicity #27456]: #27457
-#27461 := [monotonicity #27458]: #27460
-#27468 := [monotonicity #27461]: #27467
-#27500 := [monotonicity #27468]: #27499
-#27503 := [trans #27500 #27502]: #27499
-#27498 := [quant-inst]: #27472
-#27488 := [mp #27498 #27503]: #27471
-#28379 := [unit-resolution #27488 #21987]: #27466
-#27641 := (not #27466)
-#28380 := (or #27641 #27451)
-#28374 := [hypothesis]: #18347
-#27644 := (or #27641 #11964 #27451)
-#27645 := [def-axiom]: #27644
-#27131 := [unit-resolution #27645 #28374]: #28380
-#27132 := [unit-resolution #27131 #28379]: #27451
-#27134 := (or #27459 #27454)
-#27133 := [unit-resolution #27262 #28442]: #11958
-#27642 := (or #27459 #18341 #27454)
-#27643 := [def-axiom]: #27642
-#27135 := [unit-resolution #27643 #27133]: #27134
-#27266 := [unit-resolution #27135 #27132]: #27454
-#27600 := (or #27450 #27438)
-#27598 := [def-axiom]: #27600
-#27368 := [unit-resolution #27598 #27266]: #27438
-#27756 := (not #27218)
-#27417 := (iff #27756 #27284)
-#27415 := (iff #27218 #27283)
-#27410 := (= #27217 #27282)
-#27371 := (= #27216 #26967)
-#27372 := [monotonicity #27211]: #27371
-#27411 := [monotonicity #27372]: #27410
-#27416 := [monotonicity #27411]: #27415
-#27686 := [monotonicity #27416]: #27417
-#27757 := (or #27231 #27756)
-#27758 := [def-axiom]: #27757
-#27370 := [unit-resolution #27758 #27259]: #27756
-#27687 := [mp #27370 #27686]: #27284
-#27521 := (or #27395 #27283)
-#27516 := [def-axiom]: #27521
-#27688 := [unit-resolution #27516 #27687]: #27395
-#25393 := (uf_12 uf_7)
-#28494 := (= #25393 #27305)
-#28490 := (= #27305 #25393)
-#28488 := (= #27031 uf_7)
-#24969 := (uf_13 #2979)
-#28486 := (= #24969 uf_7)
-#24970 := (= uf_7 #24969)
-#24975 := (or #24921 #24970)
-#24976 := [quant-inst]: #24975
-#27693 := [unit-resolution #24976 #23160]: #24970
-#28487 := [symm #27693]: #28486
-#28484 := (= #27031 #24969)
-#28467 := (= #3031 #2979)
-#27062 := (uf_116 #24681)
-#27078 := (uf_43 #24854 #27062)
-#28463 := (= #27078 #2979)
-#27759 := (= #27062 uf_288)
-#28455 := (= #27062 #2980)
-#28453 := (= #24681 #2979)
-#24682 := (= #2979 #24681)
-#93 := (uf_29 #23)
-#23059 := (pattern #93)
-#94 := (uf_28 #93)
-#3569 := (= #23 #94)
-#23060 := (forall (vars (?x14 T5)) (:pat #23059) #3569)
-#3572 := (forall (vars (?x14 T5)) #3569)
-#23061 := (iff #3572 #23060)
-#23063 := (iff #23060 #23060)
-#23064 := [rewrite]: #23063
-#23062 := [rewrite]: #23061
-#23065 := [trans #23062 #23064]: #23061
-#16237 := (~ #3572 #3572)
-#16227 := (~ #3569 #3569)
-#16228 := [refl]: #16227
-#16293 := [nnf-pos #16228]: #16237
-#95 := (= #94 #23)
-#96 := (forall (vars (?x14 T5)) #95)
-#3573 := (iff #96 #3572)
-#3570 := (iff #95 #3569)
-#3571 := [rewrite]: #3570
-#3574 := [quant-intro #3571]: #3573
-#3568 := [asserted]: #96
-#3577 := [mp #3568 #3574]: #3572
-#16294 := [mp~ #3577 #16293]: #3572
-#23066 := [mp #16294 #23065]: #23060
-#24685 := (not #23060)
-#24686 := (or #24685 #24682)
-#24687 := [quant-inst]: #24686
-#28452 := [unit-resolution #24687 #23066]: #24682
-#28454 := [symm #28452]: #28453
-#28456 := [monotonicity #28454]: #28455
-#27760 := [trans #28456 #28406]: #27759
-#28337 := [monotonicity #28401 #27760]: #28463
-#28477 := (= #3031 #27078)
-#27056 := (uf_66 #24681 0::int #24854)
-#27081 := (= #27056 #27078)
-#27084 := (not #27081)
-decl uf_138 :: (-> T5 T5 T2)
-#27057 := (uf_138 #27056 #24681)
-#27058 := (= uf_9 #27057)
-#27059 := (not #27058)
-#27090 := (or #27059 #27084)
-#27095 := (not #27090)
-#1576 := (uf_66 #21 #247 #233)
-#1577 := (pattern #1576)
-#1578 := (uf_138 #1576 #21)
-#8249 := (= uf_9 #1578)
-#21125 := (not #8249)
-decl uf_139 :: (-> T3 int)
-#1581 := (uf_139 #233)
-#1582 := (* #247 #1581)
-#1580 := (uf_116 #21)
-#1583 := (+ #1580 #1582)
-#1584 := (uf_43 #233 #1583)
-#1585 := (= #1576 #1584)
-#21124 := (not #1585)
-#21126 := (or #21124 #21125)
-#21127 := (not #21126)
-#21130 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #21127)
-#8255 := (and #1585 #8249)
-#8260 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #8255)
-#21131 := (iff #8260 #21130)
-#21128 := (iff #8255 #21127)
-#21129 := [rewrite]: #21128
-#21132 := [quant-intro #21129]: #21131
-#17258 := (~ #8260 #8260)
-#17256 := (~ #8255 #8255)
-#17257 := [refl]: #17256
-#17259 := [nnf-pos #17257]: #17258
-#1579 := (= #1578 uf_9)
-#1586 := (and #1579 #1585)
-#1587 := (forall (vars (?x375 T5) (?x376 int) (?x377 T3)) (:pat #1577) #1586)
-#8261 := (iff #1587 #8260)
-#8258 := (iff #1586 #8255)
-#8252 := (and #8249 #1585)
-#8256 := (iff #8252 #8255)
-#8257 := [rewrite]: #8256
-#8253 := (iff #1586 #8252)
-#8250 := (iff #1579 #8249)
-#8251 := [rewrite]: #8250
-#8254 := [monotonicity #8251]: #8253
-#8259 := [trans #8254 #8257]: #8258
-#8262 := [quant-intro #8259]: #8261
-#8248 := [asserted]: #1587
-#8265 := [mp #8248 #8262]: #8260
-#17260 := [mp~ #8265 #17259]: #8260
-#21133 := [mp #17260 #21132]: #21130
-#27098 := (not #21130)
-#27044 := (or #27098 #27095)
-#27060 := (uf_139 #24854)
-#27061 := (* 0::int #27060)
-#27063 := (+ #27062 #27061)
-#27064 := (uf_43 #24854 #27063)
-#27065 := (= #27056 #27064)
-#27066 := (not #27065)
-#27067 := (or #27066 #27059)
-#27068 := (not #27067)
-#27045 := (or #27098 #27068)
-#27130 := (iff #27045 #27044)
-#27204 := (iff #27044 #27044)
-#27207 := [rewrite]: #27204
-#27096 := (iff #27068 #27095)
-#27093 := (iff #27067 #27090)
-#27087 := (or #27084 #27059)
-#27091 := (iff #27087 #27090)
-#27092 := [rewrite]: #27091
-#27088 := (iff #27067 #27087)
-#27085 := (iff #27066 #27084)
-#27082 := (iff #27065 #27081)
-#27079 := (= #27064 #27078)
-#27076 := (= #27063 #27062)
-#27071 := (+ #27062 0::int)
-#27074 := (= #27071 #27062)
-#27075 := [rewrite]: #27074
-#27072 := (= #27063 #27071)
-#27069 := (= #27061 0::int)
-#27070 := [rewrite]: #27069
-#27073 := [monotonicity #27070]: #27072
-#27077 := [trans #27073 #27075]: #27076
-#27080 := [monotonicity #27077]: #27079
-#27083 := [monotonicity #27080]: #27082
-#27086 := [monotonicity #27083]: #27085
-#27089 := [monotonicity #27086]: #27088
-#27094 := [trans #27089 #27092]: #27093
-#27097 := [monotonicity #27094]: #27096
-#27203 := [monotonicity #27097]: #27130
-#27208 := [trans #27203 #27207]: #27130
-#27108 := [quant-inst]: #27045
-#27198 := [mp #27108 #27208]: #27044
-#27790 := [unit-resolution #27198 #21133]: #27095
-#27248 := (or #27090 #27081)
-#27249 := [def-axiom]: #27248
-#27845 := [unit-resolution #27249 #27790]: #27081
-#28296 := (= #3031 #27056)
-#28336 := [monotonicity #28452 #28399]: #28296
-#28478 := [trans #28336 #27845]: #28477
-#28468 := [trans #28478 #28337]: #28467
-#28485 := [monotonicity #28468]: #28484
-#28489 := [trans #28485 #28487]: #28488
-#28491 := [monotonicity #28489]: #28490
-#28495 := [symm #28491]: #28494
-#25394 := (= uf_14 #25393)
-#25401 := (iff #11413 #25394)
+#10533 := [quant-intro #10530]: #10532
+#10512 := (iff #2412 #10511)
+#10509 := (iff #2411 #10508)
+#10506 := (iff #2410 #10505)
+#10503 := (iff #2409 #10502)
+#10500 := (iff #2408 #10499)
+#10497 := (iff #2407 #10496)
+#10494 := (iff #2406 #10493)
+#10495 := [rewrite]: #10494
+#10498 := [monotonicity #3617 #10495]: #10497
+#10501 := [monotonicity #10498]: #10500
+#10491 := (iff #2404 #10490)
+#10488 := (iff #2403 #10487)
+#10485 := (iff #2402 #10484)
+#10482 := (iff #2401 #10481)
+#10479 := (iff #2400 #10478)
+#10480 := [rewrite]: #10479
+#10476 := (iff #2398 #10475)
+#10477 := [rewrite]: #10476
+#10483 := [monotonicity #10477 #10480]: #10482
+#10473 := (iff #2396 #10472)
+#10470 := (iff #2395 #10469)
+#10471 := [rewrite]: #10470
+#10474 := [monotonicity #10471]: #10473
+#10486 := [monotonicity #10474 #10483]: #10485
+#10467 := (iff #2392 #10466)
+#10464 := (iff #2391 #10463)
+#10461 := (iff #2390 #10460)
+#10462 := [rewrite]: #10461
+#10465 := [monotonicity #10462]: #10464
+#10458 := (iff #2387 #10457)
+#10455 := (iff #2386 #10454)
+#10456 := [rewrite]: #10455
+#10459 := [monotonicity #10456]: #10458
+#10468 := [monotonicity #10459 #10465]: #10467
+#10489 := [monotonicity #10468 #10486]: #10488
+#10492 := [monotonicity #10489]: #10491
+#10504 := [monotonicity #10492 #10501]: #10503
+#10507 := [monotonicity #3623 #10504]: #10506
+#10452 := (iff #2383 #10450)
+#10453 := [rewrite]: #10452
+#10510 := [monotonicity #10453 #10507]: #10509
+#10513 := [quant-intro #10510]: #10512
+#10535 := [trans #10513 #10533]: #10534
+#10449 := [asserted]: #2412
+#10536 := [mp #10449 #10535]: #10531
+#17197 := [mp~ #10536 #17196]: #10531
+#21176 := [mp #17197 #21175]: #21173
+#27590 := (not #21173)
+#27615 := (or #27590 #27541)
+#26727 := (or #26752 #26750)
+#26754 := (not #26727)
+#26776 := (= #26775 uf_14)
+#26814 := (not #26776)
+#26815 := (or #26814 #26774 #26757 #26754)
+#26816 := (not #26815)
+#26812 := (or #26776 #26809)
+#26807 := (not #26812)
+#26813 := (or #26807 #26816)
+#26866 := (not #26813)
+#26990 := (or #26989 #26866)
+#26991 := (not #26990)
+#26937 := (iff #26997 #26991)
+#26626 := (or #27590 #26937)
+#26665 := (iff #26626 #27615)
+#26670 := (iff #27615 #27615)
+#26671 := [rewrite]: #26670
+#27542 := (iff #26937 #27541)
+#27038 := (iff #26991 #27035)
+#27034 := (iff #26990 #27033)
+#27031 := (iff #26866 #27030)
+#27013 := (iff #26813 #27012)
+#27008 := (iff #26816 #27005)
+#27554 := (iff #26815 #27536)
+#27550 := (or #27415 #26774 #26757 #27420)
+#27534 := (iff #27550 #27536)
+#27533 := [rewrite]: #27534
+#27546 := (iff #26815 #27550)
+#27475 := (iff #26754 #27420)
+#27418 := (iff #26727 #27416)
+#27419 := [rewrite]: #27418
+#27549 := [monotonicity #27419]: #27475
+#27410 := (iff #26814 #27415)
+#26936 := (iff #26776 #26938)
+#26983 := [rewrite]: #26936
+#27048 := [monotonicity #26983]: #27410
+#27535 := [monotonicity #27048 #27549]: #27546
+#27539 := [trans #27535 #27533]: #27554
+#27011 := [monotonicity #27539]: #27008
+#27413 := (iff #26807 #27412)
+#27010 := (iff #26812 #26987)
+#26984 := (or #26938 #26809)
+#26982 := (iff #26984 #26987)
+#27009 := [rewrite]: #26982
+#26985 := (iff #26812 #26984)
+#26986 := [monotonicity #26983]: #26985
+#27047 := [trans #26986 #27009]: #27010
+#27414 := [monotonicity #27047]: #27413
+#27028 := [monotonicity #27414 #27011]: #27013
+#27032 := [monotonicity #27028]: #27031
+#27029 := [monotonicity #27032]: #27034
+#27540 := [monotonicity #27029]: #27038
+#27543 := [monotonicity #27540]: #27542
+#26666 := [monotonicity #27543]: #26665
+#26672 := [trans #26666 #26671]: #26665
+#26627 := [quant-inst]: #26626
+#26941 := [mp #26627 #26672]: #27615
+#27807 := [unit-resolution #26941 #21176]: #27541
+#27775 := (not #26997)
+#27815 := (iff #17640 #27775)
+#27813 := (iff #11979 #26997)
+#27811 := (iff #26997 #11979)
+#27809 := (= #26992 #3050)
+#27810 := [monotonicity #27800]: #27809
+#27812 := [monotonicity #27810]: #27811
+#27814 := [symm #27812]: #27813
+#27816 := [monotonicity #27814]: #27815
+#27808 := [hypothesis]: #17640
+#27817 := [mp #27808 #27816]: #27775
+#27772 := (not #27541)
+#27773 := (or #27772 #26997 #27033)
+#27774 := [def-axiom]: #27773
+#27818 := [unit-resolution #27774 #27817 #27807]: #27033
+#27770 := (or #27035 #26989 #27030)
+#27771 := [def-axiom]: #27770
+#27819 := [unit-resolution #27771 #27818 #27806]: #27030
+#27835 := (iff #26562 #26746)
+#27833 := (iff #26473 #26745)
+#27831 := (iff #26745 #26473)
+#27829 := (= #26744 #26472)
+#27827 := (= #26742 #26471)
+#26222 := (uf_58 #3175 #3044)
+#27825 := (= #26222 #26471)
+#27823 := (= #26471 #26222)
+#27824 := [monotonicity #26466]: #27823
+#27826 := [symm #27824]: #27825
+#27821 := (= #26742 #26222)
+#27822 := [monotonicity #27800]: #27821
+#27828 := [trans #27822 #27826]: #27827
+#27830 := [monotonicity #27828]: #27829
+#27832 := [monotonicity #27830]: #27831
+#27834 := [symm #27832]: #27833
+#27836 := [monotonicity #27834]: #27835
+#27820 := [hypothesis]: #26562
+#27837 := [mp #27820 #27836]: #26746
+#27732 := (or #26747 #26745)
+#27733 := [def-axiom]: #27732
+#27838 := [unit-resolution #27733 #27837]: #26747
+#24648 := (uf_12 uf_7)
+#27854 := (= #24648 #26775)
+#27850 := (= #26775 #24648)
+#27851 := [monotonicity #27849]: #27850
+#27855 := [symm #27851]: #27854
+#24649 := (= uf_14 #24648)
+#24656 := (iff #11384 #24649)
 #2308 := (pattern #237)
 #2836 := (uf_12 #233)
-#11586 := (= uf_14 #2836)
-#11590 := (iff #3955 #11586)
-#11593 := (forall (vars (?x761 T3)) (:pat #2308) #11590)
-#18295 := (~ #11593 #11593)
-#18293 := (~ #11590 #11590)
-#18294 := [refl]: #18293
-#18296 := [nnf-pos #18294]: #18295
+#11557 := (= uf_14 #2836)
+#11561 := (iff #3926 #11557)
+#11564 := (forall (vars (?x761 T3)) (:pat #2308) #11561)
+#17583 := (~ #11564 #11564)
+#17581 := (~ #11561 #11561)
+#17582 := [refl]: #17581
+#17584 := [nnf-pos #17582]: #17583
 #2849 := (= #2836 uf_14)
 #2850 := (iff #238 #2849)
 #2851 := (forall (vars (?x761 T3)) (:pat #2308) #2850)
-#11594 := (iff #2851 #11593)
-#11591 := (iff #2850 #11590)
-#11588 := (iff #2849 #11586)
-#11589 := [rewrite]: #11588
-#11592 := [monotonicity #3957 #11589]: #11591
-#11595 := [quant-intro #11592]: #11594
-#11585 := [asserted]: #2851
-#11598 := [mp #11585 #11595]: #11593
-#18297 := [mp~ #11598 #18296]: #11593
-#25025 := (not #11593)
-#25404 := (or #25025 #25401)
-#25405 := [quant-inst]: #25404
-#27689 := [unit-resolution #25405 #18297]: #25401
-#25406 := (not #25401)
-#27690 := (or #25406 #25394)
-#25410 := (not #11413)
-#25411 := (or #25406 #25410 #25394)
-#25412 := [def-axiom]: #25411
-#27691 := [unit-resolution #25412 #11419]: #27690
-#27692 := [unit-resolution #27691 #27689]: #25394
-#28496 := [trans #27692 #28495]: #27355
-#27552 := (not #27279)
-#28573 := (iff #11905 #27552)
-#28571 := (iff #11902 #27279)
-#28569 := (iff #27279 #11902)
-#28567 := (= #27278 #2990)
-#28565 := (= #27277 #2977)
-#28561 := (= #27277 #24974)
-#28559 := (= #27290 #2981)
-#28557 := (= #27290 #27137)
-#27138 := (uf_66 #27137 0::int #24854)
-#27142 := (uf_58 #3157 #27138)
-#27145 := (uf_135 #27142)
-#28555 := (= #27145 #27137)
-#27146 := (= #27137 #27145)
-#27148 := (up_67 #27142)
-#27149 := (not #27148)
-#27147 := (not #27146)
-#27143 := (uf_136 #27142)
-#27144 := (= uf_9 #27143)
-#27139 := (uf_24 uf_287 #27138)
-#27140 := (= uf_9 #27139)
-#27141 := (not #27140)
-#27177 := (or #27141 #27144 #27147 #27149)
-#27180 := (not #27177)
-#27152 := (uf_24 uf_287 #27137)
-#27153 := (= uf_9 #27152)
-#28507 := (= #2988 #27152)
-#28504 := (= #27152 #2988)
-#28505 := [monotonicity #28503]: #28504
-#28508 := [symm #28505]: #28507
-#28509 := [trans #14288 #28508]: #27153
-#27154 := (not #27153)
-#28510 := (or #27154 #27180)
+#11565 := (iff #2851 #11564)
+#11562 := (iff #2850 #11561)
+#11559 := (iff #2849 #11557)
+#11560 := [rewrite]: #11559
+#11563 := [monotonicity #3928 #11560]: #11562
+#11566 := [quant-intro #11563]: #11565
+#11556 := [asserted]: #2851
+#11569 := [mp #11556 #11566]: #11564
+#17585 := [mp~ #11569 #17584]: #11564
+#24280 := (not #11564)
+#24659 := (or #24280 #24656)
+#24660 := [quant-inst]: #24659
+#27839 := [unit-resolution #24660 #17585]: #24656
+#24661 := (not #24656)
+#27840 := (or #24661 #24649)
+#24665 := (not #11384)
+#24666 := (or #24661 #24665 #24649)
+#24667 := [def-axiom]: #24666
+#27841 := [unit-resolution #24667 #11390]: #27840
+#27842 := [unit-resolution #27841 #27839]: #24649
+#27856 := [trans #27842 #27855]: #26938
+#27751 := (not #26757)
+#27930 := (iff #11876 #27751)
+#27928 := (iff #11873 #26757)
+#27926 := (iff #26757 #11873)
+#27924 := (= #26756 #2990)
+#27922 := (= #26755 #2977)
+#27918 := (= #26755 #24228)
+#27916 := (= #26748 #2981)
+#27914 := (= #26748 #26392)
+#26393 := (uf_66 #26392 0::int #24108)
+#26397 := (uf_58 #3175 #26393)
+#26400 := (uf_135 #26397)
+#27912 := (= #26400 #26392)
+#26401 := (= #26392 #26400)
+#26403 := (up_67 #26397)
+#26404 := (not #26403)
+#26402 := (not #26401)
+#26398 := (uf_136 #26397)
+#26399 := (= uf_9 #26398)
+#26394 := (uf_24 uf_287 #26393)
+#26395 := (= uf_9 #26394)
+#26396 := (not #26395)
+#26432 := (or #26396 #26399 #26402 #26404)
+#26435 := (not #26432)
+#26407 := (uf_24 uf_287 #26392)
+#26408 := (= uf_9 #26407)
+#27867 := (= #2988 #26407)
+#27864 := (= #26407 #2988)
+#27865 := [monotonicity #27863]: #27864
+#27868 := [symm #27865]: #27867
+#27869 := [trans #13532 #27868]: #26408
+#26409 := (not #26408)
+#27870 := (or #26409 #26435)
 #277 := (:var 3 int)
 #310 := (:var 2 T3)
 #1470 := (uf_124 #310 #247)
 #1471 := (uf_43 #1470 #277)
 #1467 := (uf_43 #310 #277)

 #1466 := (uf_41 #35)
 #1469 := (uf_40 #1466 #1468)
 #1472 := (pattern #1469 #1471)
 #1478 := (uf_66 #1471 #161 #310)
 #1486 := (uf_24 #35 #1478)
-#7960 := (= uf_9 #1486)
-#20901 := (not #7960)
+#7931 := (= uf_9 #1486)
+#20090 := (not #7931)
 #1479 := (uf_58 #1473 #1478)
 #1482 := (uf_136 #1479)
-#7954 := (= uf_9 #1482)
+#7925 := (= uf_9 #1482)
 #1480 := (uf_135 #1479)
-#7951 := (= #1471 #1480)
-#20900 := (not #7951)
+#7922 := (= #1471 #1480)
+#20089 := (not #7922)
 #1485 := (up_67 #1479)
-#20899 := (not #1485)
-#20902 := (or #20899 #20900 #7954 #20901)
-#20903 := (not #20902)
+#20088 := (not #1485)
+#20091 := (or #20088 #20089 #7925 #20090)
+#20092 := (not #20091)
 #1476 := (uf_24 #35 #1471)
-#7948 := (= uf_9 #1476)
-#7983 := (not #7948)
-#5263 := (* -1::int #247)
-#6143 := (+ #161 #5263)
-#6144 := (>= #6143 0::int)
-#20909 := (or #4992 #6144 #7983 #20903)
-#20914 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #20909)
-#7957 := (not #7954)
-#7992 := (and #1485 #7951 #7957 #7960)
-#7647 := (not #6144)
-#7650 := (and #4070 #7647)
-#7653 := (not #7650)
-#8001 := (or #7653 #7983 #7992)
-#8006 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #8001)
-#20915 := (iff #8006 #20914)
-#20912 := (iff #8001 #20909)
-#20784 := (or #4992 #6144)
-#20906 := (or #20784 #7983 #20903)
-#20910 := (iff #20906 #20909)
-#20911 := [rewrite]: #20910
-#20907 := (iff #8001 #20906)
-#20904 := (iff #7992 #20903)
-#20905 := [rewrite]: #20904
-#20793 := (iff #7653 #20784)
-#20785 := (not #20784)
-#20788 := (not #20785)
-#20791 := (iff #20788 #20784)
-#20792 := [rewrite]: #20791
-#20789 := (iff #7653 #20788)
-#20786 := (iff #7650 #20785)
-#20787 := [rewrite]: #20786
-#20790 := [monotonicity #20787]: #20789
-#20794 := [trans #20790 #20792]: #20793
-#20908 := [monotonicity #20794 #20905]: #20907
-#20913 := [trans #20908 #20911]: #20912
-#20916 := [quant-intro #20913]: #20915
-#17035 := (~ #8006 #8006)
-#17033 := (~ #8001 #8001)
-#17034 := [refl]: #17033
-#17036 := [nnf-pos #17034]: #17035
+#7919 := (= uf_9 #1476)
+#7954 := (not #7919)
+#5234 := (* -1::int #247)
+#6114 := (+ #161 #5234)
+#6115 := (>= #6114 0::int)
+#20098 := (or #4963 #6115 #7954 #20092)
+#20103 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #20098)
+#7928 := (not #7925)
+#7963 := (and #1485 #7922 #7928 #7931)
+#7618 := (not #6115)
+#7621 := (and #4041 #7618)
+#7624 := (not #7621)
+#7972 := (or #7624 #7954 #7963)
+#7977 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #7972)
+#20104 := (iff #7977 #20103)
+#20101 := (iff #7972 #20098)
+#19973 := (or #4963 #6115)
+#20095 := (or #19973 #7954 #20092)
+#20099 := (iff #20095 #20098)
+#20100 := [rewrite]: #20099
+#20096 := (iff #7972 #20095)
+#20093 := (iff #7963 #20092)
+#20094 := [rewrite]: #20093
+#19982 := (iff #7624 #19973)
+#19974 := (not #19973)
+#19977 := (not #19974)
+#19980 := (iff #19977 #19973)
+#19981 := [rewrite]: #19980
+#19978 := (iff #7624 #19977)
+#19975 := (iff #7621 #19974)
+#19976 := [rewrite]: #19975
+#19979 := [monotonicity #19976]: #19978
+#19983 := [trans #19979 #19981]: #19982
+#20097 := [monotonicity #19983 #20094]: #20096
+#20102 := [trans #20097 #20100]: #20101
+#20105 := [quant-intro #20102]: #20104
+#16323 := (~ #7977 #7977)
+#16321 := (~ #7972 #7972)
+#16322 := [refl]: #16321
+#16324 := [nnf-pos #16322]: #16323
 #1487 := (= #1486 uf_9)
 #1488 := (and #1485 #1487)
 #1483 := (= #1482 uf_9)
 #1484 := (not #1483)
 #1489 := (and #1484 #1488)

 #1372 := (and #285 #1371)
 #1491 := (implies #1372 #1490)
 #1477 := (= #1476 uf_9)
 #1492 := (implies #1477 #1491)
 #1493 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #1492)
-#8009 := (iff #1493 #8006)
-#7963 := (and #1485 #7960)
-#7966 := (and #7957 #7963)
-#7969 := (and #7951 #7966)
-#7617 := (not #1372)
-#7975 := (or #7617 #7969)
-#7984 := (or #7983 #7975)
-#7989 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #7984)
-#8007 := (iff #7989 #8006)
-#8004 := (iff #7984 #8001)
-#7995 := (or #7653 #7992)
-#7998 := (or #7983 #7995)
-#8002 := (iff #7998 #8001)
-#8003 := [rewrite]: #8002
-#7999 := (iff #7984 #7998)
-#7996 := (iff #7975 #7995)
-#7993 := (iff #7969 #7992)
-#7994 := [rewrite]: #7993
-#7654 := (iff #7617 #7653)
-#7651 := (iff #1372 #7650)
-#7648 := (iff #1371 #7647)
-#7649 := [rewrite]: #7648
-#7652 := [monotonicity #4069 #7649]: #7651
-#7655 := [monotonicity #7652]: #7654
-#7997 := [monotonicity #7655 #7994]: #7996
-#8000 := [monotonicity #7997]: #7999
-#8005 := [trans #8000 #8003]: #8004
-#8008 := [quant-intro #8005]: #8007
-#7990 := (iff #1493 #7989)
-#7987 := (iff #1492 #7984)
-#7980 := (implies #7948 #7975)
-#7985 := (iff #7980 #7984)
-#7986 := [rewrite]: #7985
-#7981 := (iff #1492 #7980)
-#7978 := (iff #1491 #7975)
-#7972 := (implies #1372 #7969)
-#7976 := (iff #7972 #7975)
-#7977 := [rewrite]: #7976
-#7973 := (iff #1491 #7972)
-#7970 := (iff #1490 #7969)
-#7967 := (iff #1489 #7966)
-#7964 := (iff #1488 #7963)
-#7961 := (iff #1487 #7960)
-#7962 := [rewrite]: #7961
-#7965 := [monotonicity #7962]: #7964
-#7958 := (iff #1484 #7957)
-#7955 := (iff #1483 #7954)
-#7956 := [rewrite]: #7955
-#7959 := [monotonicity #7956]: #7958
-#7968 := [monotonicity #7959 #7965]: #7967
-#7952 := (iff #1481 #7951)
-#7953 := [rewrite]: #7952
-#7971 := [monotonicity #7953 #7968]: #7970
-#7974 := [monotonicity #7971]: #7973
-#7979 := [trans #7974 #7977]: #7978
-#7949 := (iff #1477 #7948)
-#7950 := [rewrite]: #7949
-#7982 := [monotonicity #7950 #7979]: #7981
-#7988 := [trans #7982 #7986]: #7987
-#7991 := [quant-intro #7988]: #7990
-#8010 := [trans #7991 #8008]: #8009
-#7947 := [asserted]: #1493
-#8011 := [mp #7947 #8010]: #8006
-#17037 := [mp~ #8011 #17036]: #8006
-#20917 := [mp #17037 #20916]: #20914
-#27680 := (not #20914)
-#27681 := (or #27680 #27154 #27172 #27180)
-#27150 := (or #27149 #27147 #27144 #27141)
-#27151 := (not #27150)
-#27160 := (or #27159 #27157 #27154 #27151)
-#27682 := (or #27680 #27160)
-#27727 := (iff #27682 #27681)
-#27186 := (or #27154 #27172 #27180)
-#27728 := (or #27680 #27186)
-#27731 := (iff #27728 #27681)
-#27732 := [rewrite]: #27731
-#27729 := (iff #27682 #27728)
-#27189 := (iff #27160 #27186)
-#27183 := (or false #27172 #27154 #27180)
-#27187 := (iff #27183 #27186)
-#27188 := [rewrite]: #27187
-#27184 := (iff #27160 #27183)
-#27181 := (iff #27151 #27180)
-#27178 := (iff #27150 #27177)
-#27179 := [rewrite]: #27178
-#27182 := [monotonicity #27179]: #27181
-#27185 := [monotonicity #27166 #27176 #27182]: #27184
-#27190 := [trans #27185 #27188]: #27189
-#27730 := [monotonicity #27190]: #27729
-#27733 := [trans #27730 #27732]: #27727
-#27683 := [quant-inst]: #27682
-#27734 := [mp #27683 #27733]: #27681
-#28511 := [unit-resolution #27734 #20917 #27202]: #28510
-#28512 := [unit-resolution #28511 #28509]: #27180
-#27751 := (or #27177 #27146)
-#27752 := [def-axiom]: #27751
-#28513 := [unit-resolution #27752 #28512]: #27146
-#28556 := [symm #28513]: #28555
-#28553 := (= #27290 #27145)
-#28551 := (= #26967 #27142)
-#28549 := (= #27142 #26967)
-#28547 := (= #27138 #3031)
-#28537 := (= #27056 #3031)
-#28538 := [symm #28336]: #28537
-#28545 := (= #27138 #27056)
-#28535 := (= #27078 #27056)
-#28536 := [symm #27845]: #28535
-#28543 := (= #27138 #27078)
-#28461 := (= #2979 #27078)
-#28534 := [symm #28337]: #28461
-#28541 := (= #27138 #2979)
-#27319 := (uf_116 #26144)
-#27333 := (uf_43 #24854 #27319)
-#28532 := (= #27333 #2979)
-#28524 := (= #27319 uf_288)
-#28522 := (= #27319 #2980)
-#28520 := (= #24756 #2980)
-#24980 := (= #2980 #24756)
-#24985 := (or #24927 #24980)
-#24986 := [quant-inst]: #24985
-#28514 := [unit-resolution #24986 #23154]: #24980
-#28521 := [symm #28514]: #28520
-#28518 := (= #27319 #24756)
-#28519 := [monotonicity #28517]: #28518
-#28523 := [trans #28519 #28521]: #28522
-#28525 := [trans #28523 #28406]: #28524
-#28533 := [monotonicity #28401 #28525]: #28532
-#28539 := (= #27138 #27333)
-#27315 := (uf_66 #26144 0::int #24854)
-#27336 := (= #27315 #27333)
-#27339 := (not #27336)
-#27316 := (uf_138 #27315 #26144)
-#27317 := (= uf_9 #27316)
-#27318 := (not #27317)
-#27345 := (or #27318 #27339)
-#27350 := (not #27345)
-#28295 := (or #27098 #27350)
-#27320 := (+ #27319 #27061)
-#27321 := (uf_43 #24854 #27320)
-#27322 := (= #27315 #27321)
-#27323 := (not #27322)
-#27324 := (or #27323 #27318)
-#27325 := (not #27324)
-#28280 := (or #27098 #27325)
-#28279 := (iff #28280 #28295)
-#28299 := (iff #28295 #28295)
-#28284 := [rewrite]: #28299
-#27351 := (iff #27325 #27350)
-#27348 := (iff #27324 #27345)
-#27342 := (or #27339 #27318)
-#27346 := (iff #27342 #27345)
-#27347 := [rewrite]: #27346
-#27343 := (iff #27324 #27342)
-#27340 := (iff #27323 #27339)
-#27337 := (iff #27322 #27336)
-#27334 := (= #27321 #27333)
-#27331 := (= #27320 #27319)
-#27326 := (+ #27319 0::int)
-#27329 := (= #27326 #27319)
-#27330 := [rewrite]: #27329
-#27327 := (= #27320 #27326)
-#27328 := [monotonicity #27070]: #27327
-#27332 := [trans #27328 #27330]: #27331
-#27335 := [monotonicity #27332]: #27334
-#27338 := [monotonicity #27335]: #27337
-#27341 := [monotonicity #27338]: #27340
-#27344 := [monotonicity #27341]: #27343
-#27349 := [trans #27344 #27347]: #27348
-#27352 := [monotonicity #27349]: #27351
-#28278 := [monotonicity #27352]: #28279
-#28285 := [trans #28278 #28284]: #28279
-#28281 := [quant-inst]: #28280
-#28286 := [mp #28281 #28285]: #28295
-#28526 := [unit-resolution #28286 #21133]: #27350
-#28335 := (or #27345 #27336)
-#28360 := [def-axiom]: #28335
-#28527 := [unit-resolution #28360 #28526]: #27336
-#28530 := (= #27138 #27315)
-#28531 := [monotonicity #28529]: #28530
-#28540 := [trans #28531 #28527]: #28539
-#28542 := [trans #28540 #28533]: #28541
-#28544 := [trans #28542 #28534]: #28543
-#28546 := [trans #28544 #28536]: #28545
-#28548 := [trans #28546 #28538]: #28547
-#28550 := [monotonicity #28548]: #28549
-#28552 := [symm #28550]: #28551
-#28554 := [monotonicity #28552]: #28553
-#28558 := [trans #28554 #28556]: #28557
-#28560 := [trans #28558 #28503]: #28559
-#28562 := [monotonicity #28560]: #28561
-#28566 := [trans #28562 #28564]: #28565
-#28568 := [monotonicity #28566]: #28567
-#28570 := [monotonicity #28568]: #28569
-#28572 := [symm #28570]: #28571
-#28574 := [monotonicity #28572]: #28573
-#28575 := [mp #14289 #28574]: #27552
-#28579 := (= #2984 #27293)
-#28576 := (= #27293 #2984)
-#28577 := [monotonicity #28560]: #28576
-#28580 := [symm #28577]: #28579
-#28581 := [trans #14286 #28580]: #27294
-#27553 := (not #27294)
-#27554 := (or #27400 #27553)
-#27555 := [def-axiom]: #27554
-#28582 := [unit-resolution #27555 #28581]: #27400
-#27610 := (or #27442 #27279 #27392 #27397 #27413)
-#27611 := [def-axiom]: #27610
-#28583 := [unit-resolution #27611 #28582 #28575 #28496 #27688 #27368]: false
-#28585 := [lemma #28583]: #28584
-#28850 := [unit-resolution #28585 #28847]: #11964
-#28851 := (or #23429 #18347 #23423)
-#27032 := (= #24854 #27031)
-#27005 := (uf_48 #3031 #24854)
-#27006 := (= uf_9 #27005)
-#27034 := (iff #27006 #27032)
-#9068 := (= #233 #1390)
-#11188 := (iff #9068 #11167)
-#23142 := (forall (vars (?x712 T5) (?x713 T3)) (:pat #2667) #11188)
-#11193 := (forall (vars (?x712 T5) (?x713 T3)) #11188)
-#23145 := (iff #11193 #23142)
-#23143 := (iff #11188 #11188)
-#23144 := [refl]: #23143
-#23146 := [quant-intro #23144]: #23145
-#18180 := (~ #11193 #11193)
-#18178 := (~ #11188 #11188)
-#18179 := [refl]: #18178
-#18181 := [nnf-pos #18179]: #18180
-#1890 := (= #1390 #233)
-#2673 := (iff #2668 #1890)
-#2674 := (forall (vars (?x712 T5) (?x713 T3)) #2673)
-#11194 := (iff #2674 #11193)
-#11191 := (iff #2673 #11188)
-#11184 := (iff #11167 #9068)
-#11189 := (iff #11184 #11188)
-#11190 := [rewrite]: #11189
-#11186 := (iff #2673 #11184)
-#9069 := (iff #1890 #9068)
-#9070 := [rewrite]: #9069
-#11187 := [monotonicity #11170 #9070]: #11186
-#11192 := [trans #11187 #11190]: #11191
-#11195 := [quant-intro #11192]: #11194
-#11183 := [asserted]: #2674
-#11198 := [mp #11183 #11195]: #11193
-#18182 := [mp~ #11198 #18181]: #11193
-#23147 := [mp #18182 #23146]: #23142
-#26172 := (not #23142)
-#26981 := (or #26172 #27034)
-#27033 := (iff #27032 #27006)
-#26982 := (or #26172 #27033)
-#27020 := (iff #26982 #26981)
-#27027 := (iff #26981 #26981)
-#27028 := [rewrite]: #27027
-#27035 := (iff #27033 #27034)
-#27036 := [rewrite]: #27035
-#27026 := [monotonicity #27036]: #27020
-#27029 := [trans #27026 #27028]: #27020
-#27025 := [quant-inst]: #26982
-#27007 := [mp #27025 #27029]: #26981
-#27009 := [unit-resolution #27007 #23147]: #27034
-#27013 := (not #27006)
-#27038 := (iff #18338 #27013)
-#27104 := (iff #11955 #27006)
-#27053 := (iff #27006 #11955)
-#27051 := (= #27005 #3032)
-#27052 := [monotonicity #28401]: #27051
-#27109 := [monotonicity #27052]: #27053
-#27054 := [symm #27109]: #27104
-#27039 := [monotonicity #27054]: #27038
-#27050 := [hypothesis]: #18338
-#27037 := [mp #27050 #27039]: #27013
-#27040 := (= #24969 #27031)
-#27041 := [symm #28485]: #27040
-#27055 := (= #24854 #24969)
-#27042 := [trans #28401 #27693]: #27055
-#27043 := [trans #27042 #27041]: #27032
-#27008 := (not #27032)
-#27010 := (not #27034)
-#26971 := (or #27010 #27006 #27008)
-#26994 := [def-axiom]: #26971
-#27111 := [unit-resolution #26994 #27043 #27037 #27009]: false
-#27112 := [lemma #27111]: #11955
-#24657 := (or #23429 #18338 #18347 #23423)
-#24658 := [def-axiom]: #24657
-#28852 := [unit-resolution #24658 #27112]: #28851
-#28853 := [unit-resolution #28852 #28850 #28849]: #23423
-#24635 := (or #23420 #3042)
-#24636 := [def-axiom]: #24635
-#28854 := [unit-resolution #24636 #28853]: #3042
-#24647 := (or #23420 #23414)
-#24648 := [def-axiom]: #24647
-#29533 := [unit-resolution #24648 #28853]: #23414
-#28732 := [hypothesis]: #13392
-#28733 := [th-lemma #14280 #28732]: false
-#28734 := [lemma #28733]: #13389
-#24633 := (or #23417 #13392 #23411)
-#24634 := [def-axiom]: #24633
-#29534 := [unit-resolution #24634 #28734 #29533]: #23411
-#24625 := (or #23408 #23402)
-#24626 := [def-axiom]: #24625
-#29543 := [unit-resolution #24626 #29534]: #23402
-#27621 := (* -1::int #3041)
-#27622 := (+ uf_295 #27621)
-#27623 := (>= #27622 0::int)
-#28855 := (or #13173 #27623)
-#28856 := [th-lemma]: #28855
-#28857 := [unit-resolution #28856 #28854]: #27623
-#24303 := (not #18379)
-#28858 := [hypothesis]: #22230
-#24304 := (or #22225 #24303)
-#24305 := [def-axiom]: #24304
-#28859 := [unit-resolution #24305 #28858]: #24303
-#28818 := (+ #3041 #18377)
-#28820 := (>= #28818 0::int)
-#28817 := (= #3041 #18376)
-#28866 := (= #18376 #3041)
-#28864 := (= #18375 #3031)
-#28862 := (= ?x773!13 0::int)
-#24306 := (not #18380)
-#24307 := (or #22225 #24306)
-#24308 := [def-axiom]: #24307
-#28860 := [unit-resolution #24308 #28858]: #24306
-#24301 := (or #22225 #18372)
-#24302 := [def-axiom]: #24301
-#28861 := [unit-resolution #24302 #28858]: #18372
-#28863 := [th-lemma #28861 #28860]: #28862
-#28865 := [monotonicity #28863]: #28864
-#28867 := [monotonicity #28865]: #28866
-#28868 := [symm #28867]: #28817
-#28869 := (not #28817)
-#28870 := (or #28869 #28820)
-#28871 := [th-lemma]: #28870
-#28872 := [unit-resolution #28871 #28868]: #28820
-#28873 := [th-lemma #28872 #28859 #28857]: false
-#28874 := [lemma #28873]: #22225
-#24621 := (or #23405 #22230 #23399)
-#24622 := [def-axiom]: #24621
-#29544 := [unit-resolution #24622 #28874 #29543]: #23399
-#24613 := (or #23396 #23390)
-#24614 := [def-axiom]: #24613
-#29545 := [unit-resolution #24614 #29544]: #23390
-#29546 := (or #23393 #13173 #23387)
-#24609 := (or #23393 #13173 #13428 #23387)
-#24610 := [def-axiom]: #24609
-#29547 := [unit-resolution #24610 #14280]: #29546
-#29548 := [unit-resolution #29547 #29545 #28854]: #23387
-#24599 := (or #23384 #23378)
-#24600 := [def-axiom]: #24599
-#29549 := [unit-resolution #24600 #29548]: #23378
-#24597 := (or #23384 #23220)
-#24598 := [def-axiom]: #24597
-#29550 := [unit-resolution #24598 #29548]: #23220
-#24571 := (or #23384 #12016)
-#24572 := [def-axiom]: #24571
-#29551 := [unit-resolution #24572 #29548]: #12016
-#24593 := (or #23384 #15788)
-#24594 := [def-axiom]: #24593
-#29552 := [unit-resolution #24594 #29548]: #15788
-#24583 := (or #23384 #13900)
-#24584 := [def-axiom]: #24583
-#29553 := [unit-resolution #24584 #29548]: #13900
-#27613 := (uf_13 #27078)
-#27614 := (uf_66 #27078 uf_297 #27613)
-#27615 := (uf_125 #27614 #27078)
-#27696 := (>= #27615 0::int)
-#24579 := (or #23384 #13433)
-#24580 := [def-axiom]: #24579
-#29554 := [unit-resolution #24580 #29548]: #13433
-#27712 := (* -1::int #27615)
-#27785 := (+ uf_297 #27712)
-#27786 := (<= #27785 0::int)
-#27616 := (= uf_297 #27615)
-#28905 := (uf_66 #24681 uf_297 #27114)
-#28906 := (uf_125 #28905 #24681)
-#29576 := (= #28906 #27615)
-#29574 := (= #27615 #28906)
-#29555 := (= #27078 #24681)
-#29556 := [trans #28337 #28452]: #29555
-#29571 := (= #27614 #28905)
-#29569 := (= #3082 #28905)
-#29567 := (= #28905 #3082)
-#29559 := (= #27114 uf_7)
-#29557 := (= #27114 #24969)
-#29558 := [monotonicity #28454]: #29557
-#29560 := [trans #29558 #28487]: #29559
-#29568 := [monotonicity #28454 #29560]: #29567
-#29570 := [symm #29568]: #29569
-#29565 := (= #27614 #3082)
-#29563 := (= #27613 uf_7)
-#29561 := (= #27613 #24969)
-#29562 := [monotonicity #28337]: #29561
-#29564 := [trans #29562 #28487]: #29563
-#29566 := [monotonicity #28337 #29564]: #29565
-#29572 := [trans #29566 #29570]: #29571
-#29575 := [monotonicity #29572 #29556]: #29574
-#29577 := [symm #29575]: #29576
-#28907 := (= uf_297 #28906)
-#28910 := (or #27121 #28907)
-#28911 := [quant-inst]: #28910
-#29573 := [unit-resolution #28911 #17002]: #28907
-#29578 := [trans #29573 #29577]: #27616
-#28124 := (not #27616)
-#29579 := (or #28124 #27786)
-#29580 := [th-lemma]: #29579
-#29581 := [unit-resolution #29580 #29578]: #27786
-#29582 := (not #27786)
-#29583 := (or #27696 #22372 #29582)
-#29584 := [th-lemma]: #29583
-#29585 := [unit-resolution #29584 #29581 #29554]: #27696
-#27697 := (not #27696)
-#28149 := (or #23372 #27697 #13899 #22515 #22510 #23225)
-#27994 := (uf_66 #2979 #27615 uf_7)
-#27995 := (uf_110 uf_287 #27994)
-#27998 := (= uf_302 #27995)
-#28104 := (= #3083 #27995)
-#28117 := (= #27995 #3083)
-#28111 := (= #27994 #3082)
-#28109 := (= #27615 uf_297)
-#27619 := (or #27121 #27616)
-#27620 := [quant-inst]: #27619
-#28108 := [unit-resolution #27620 #17002]: #27616
-#28110 := [symm #28108]: #28109
-#28112 := [monotonicity #28110]: #28111
-#28118 := [monotonicity #28112]: #28117
-#28119 := [symm #28118]: #28104
-#28120 := (= uf_302 #3083)
-#28113 := [hypothesis]: #12016
-#28114 := [hypothesis]: #23375
-#24539 := (or #23372 #12044)
-#24540 := [def-axiom]: #24539
-#28115 := [unit-resolution #24540 #28114]: #12044
-#28116 := [symm #28115]: #3097
-#28121 := [trans #28116 #28113]: #28120
-#28122 := [trans #28121 #28119]: #27998
-#27979 := (<= #27615 4294967295::int)
-#28123 := [hypothesis]: #15788
-#27787 := (>= #27785 0::int)
-#28125 := (or #28124 #27787)
-#28126 := [th-lemma]: #28125
-#28127 := [unit-resolution #28126 #28108]: #27787
-#28128 := (not #27787)
-#28129 := (or #27979 #22515 #28128)
-#28130 := [th-lemma]: #28129
-#28131 := [unit-resolution #28130 #28127 #28123]: #27979
-#28021 := (+ uf_286 #27712)
-#28022 := (<= #28021 0::int)
-#28133 := (not #28022)
-#28132 := [hypothesis]: #13900
-#28134 := (or #28133 #13899 #28128)
-#28135 := [th-lemma]: #28134
-#28136 := [unit-resolution #28135 #28127 #28132]: #28133
-#28001 := (not #27998)
-#27980 := (not #27979)
-#28146 := (or #27980 #28001 #28022)
-#28137 := [hypothesis]: #27696
-#24547 := (or #23372 #23366)
-#24548 := [def-axiom]: #24547
-#28138 := [unit-resolution #24548 #28114]: #23366
-#27791 := (+ uf_296 #13761)
-#27794 := (<= #27791 0::int)
-#28139 := (or #12093 #27794)
-#28140 := [th-lemma]: #28139
-#28141 := [unit-resolution #28140 #28115]: #27794
-#28045 := [hypothesis]: #23220
-#24545 := (or #23372 #13721)
-#24546 := [def-axiom]: #24545
-#28142 := [unit-resolution #24546 #28114]: #13721
-#28036 := (not #27794)
-#28051 := (or #22481 #13722 #23225 #28036)
-#28039 := [hypothesis]: #13721
-#27862 := (+ uf_298 #18969)
-#27863 := (<= #27862 0::int)
-#27874 := (+ uf_296 #18982)
-#27875 := (>= #27874 0::int)
-#28035 := (not #27875)
-#28029 := [hypothesis]: #27794
-#24522 := (not #18984)
-#28040 := [hypothesis]: #22486
-#24523 := (or #22481 #24522)
-#24524 := [def-axiom]: #24523
-#28041 := [unit-resolution #24524 #28040]: #24522
-#28037 := (or #28035 #18984 #28036)
-#28030 := [hypothesis]: #24522
-#28033 := [hypothesis]: #27875
-#28034 := [th-lemma #28033 #28030 #28029]: false
-#28038 := [lemma #28034]: #28037
-#28042 := [unit-resolution #28038 #28041 #28029]: #28035
-#28046 := (or #27863 #27875)
-#24517 := (or #22481 #18633)
-#24518 := [def-axiom]: #24517
-#28043 := [unit-resolution #24518 #28040]: #18633
-#24515 := (or #22481 #18632)
-#24516 := [def-axiom]: #24515
-#28044 := [unit-resolution #24516 #28040]: #18632
-#27888 := (or #23225 #22465 #22466 #27863 #27875)
-#27851 := (+ #18637 #13926)
-#27852 := (<= #27851 0::int)
-#27853 := (+ ?x776!15 #13457)
-#27854 := (>= #27853 0::int)
-#27855 := (or #22466 #27854 #27852 #22465)
-#27889 := (or #23225 #27855)
-#27896 := (iff #27889 #27888)
-#27883 := (or #22465 #22466 #27863 #27875)
-#27891 := (or #23225 #27883)
-#27894 := (iff #27891 #27888)
-#27895 := [rewrite]: #27894
-#27892 := (iff #27889 #27891)
-#27886 := (iff #27855 #27883)
-#27880 := (or #22466 #27863 #27875 #22465)
-#27884 := (iff #27880 #27883)
-#27885 := [rewrite]: #27884
-#27881 := (iff #27855 #27880)
-#27878 := (iff #27852 #27875)
-#27868 := (+ #13926 #18637)
-#27871 := (<= #27868 0::int)
-#27876 := (iff #27871 #27875)
-#27877 := [rewrite]: #27876
-#27872 := (iff #27852 #27871)
-#27869 := (= #27851 #27868)
-#27870 := [rewrite]: #27869
-#27873 := [monotonicity #27870]: #27872
-#27879 := [trans #27873 #27877]: #27878
-#27866 := (iff #27854 #27863)
-#27856 := (+ #13457 ?x776!15)
-#27859 := (>= #27856 0::int)
-#27864 := (iff #27859 #27863)
-#27865 := [rewrite]: #27864
-#27860 := (iff #27854 #27859)
-#27857 := (= #27853 #27856)
-#27858 := [rewrite]: #27857
-#27861 := [monotonicity #27858]: #27860
-#27867 := [trans #27861 #27865]: #27866
-#27882 := [monotonicity #27867 #27879]: #27881
-#27887 := [trans #27882 #27885]: #27886
-#27893 := [monotonicity #27887]: #27892
-#27897 := [trans #27893 #27895]: #27896
-#27890 := [quant-inst]: #27889
-#27898 := [mp #27890 #27897]: #27888
-#28047 := [unit-resolution #27898 #28045 #28044 #28043]: #28046
-#28048 := [unit-resolution #28047 #28042]: #27863
-#24519 := (not #18971)
-#24520 := (or #22481 #24519)
-#24521 := [def-axiom]: #24520
-#28049 := [unit-resolution #24521 #28040]: #24519
-#28050 := [th-lemma #28049 #28048 #28039]: false
-#28052 := [lemma #28050]: #28051
-#28143 := [unit-resolution #28052 #28142 #28045 #28141]: #22481
-#24531 := (or #23369 #23363 #22486)
-#24532 := [def-axiom]: #24531
-#28144 := [unit-resolution #24532 #28143 #28138]: #23363
-#24511 := (or #23360 #23352)
-#24512 := [def-axiom]: #24511
-#28145 := [unit-resolution #24512 #28144]: #23352
-#28058 := (or #23357 #27697 #27980 #28001 #28022)
-#27985 := (+ #27615 #13362)
-#27986 := (>= #27985 0::int)
-#27993 := (= #27995 uf_302)
-#27996 := (not #27993)
-#27997 := (or #27996 #27697 #27986 #27980)
-#28059 := (or #23357 #27997)
-#28066 := (iff #28059 #28058)
-#28053 := (or #27697 #27980 #28001 #28022)
-#28061 := (or #23357 #28053)
-#28064 := (iff #28061 #28058)
-#28065 := [rewrite]: #28064
-#28062 := (iff #28059 #28061)
-#28056 := (iff #27997 #28053)
-#28002 := (or #28001 #27697 #28022 #27980)
-#28054 := (iff #28002 #28053)
-#28055 := [rewrite]: #28054
-#28003 := (iff #27997 #28002)
-#28032 := (iff #27986 #28022)
-#28016 := (+ #13362 #27615)
-#28013 := (>= #28016 0::int)
-#28023 := (iff #28013 #28022)
-#28031 := [rewrite]: #28023
-#28019 := (iff #27986 #28013)
-#28017 := (= #27985 #28016)
-#28018 := [rewrite]: #28017
-#28020 := [monotonicity #28018]: #28019
-#27934 := [trans #28020 #28031]: #28032
-#28014 := (iff #27996 #28001)
-#27999 := (iff #27993 #27998)
-#28000 := [rewrite]: #27999
-#28015 := [monotonicity #28000]: #28014
-#28026 := [monotonicity #28015 #27934]: #28003
-#28057 := [trans #28026 #28055]: #28056
-#28063 := [monotonicity #28057]: #28062
-#28067 := [trans #28063 #28065]: #28066
-#28060 := [quant-inst]: #28059
-#28068 := [mp #28060 #28067]: #28058
-#28147 := [unit-resolution #28068 #28145 #28137]: #28146
-#28148 := [unit-resolution #28147 #28136 #28131 #28122]: false
-#28150 := [lemma #28148]: #28149
-#29586 := [unit-resolution #28150 #29585 #29553 #29552 #29551 #29550]: #23372
-#24555 := (or #23381 #23341 #23375)
-#24556 := [def-axiom]: #24555
-#29587 := [unit-resolution #24556 #29586 #29549]: #23341
-#24503 := (or #23338 #13722)
-#24504 := [def-axiom]: #24503
-#29588 := [unit-resolution #24504 #29587]: #13722
-#30529 := (not #29295)
-#30533 := (or #30532 #28431 #30529 #13721)
-#30534 := [th-lemma]: #30533
-#30535 := [unit-resolution #30534 #28425 #29588 #30527]: #30532
-#29174 := (>= #29134 0::int)
-#29175 := (not #29174)
-#29489 := [hypothesis]: #29175
-#24587 := (or #23384 #13954)
-#24588 := [def-axiom]: #24587
-#29490 := [unit-resolution #24588 #29548]: #13954
-#29294 := (<= #29293 0::int)
-#29493 := (or #29492 #29294)
-#29478 := [th-lemma]: #29493
-#29479 := [unit-resolution #29478 #29491]: #29294
-#29480 := [th-lemma #29479 #29490 #29489]: false
-#29481 := [lemma #29480]: #29174
-#30548 := (or #29175 #29185 #29193)
-#29204 := (or #27680 #27154 #29175 #29185 #29193)
-#29170 := (or #29169 #29167 #29164 #29161)
-#29171 := (not #29170)
-#29172 := (+ #29134 #27155)
-#29173 := (>= #29172 0::int)
-#29176 := (or #29175 #29173 #27154 #29171)
-#29205 := (or #27680 #29176)
-#29212 := (iff #29205 #29204)
-#29199 := (or #27154 #29175 #29185 #29193)
-#29207 := (or #27680 #29199)
-#29210 := (iff #29207 #29204)
-#29211 := [rewrite]: #29210
-#29208 := (iff #29205 #29207)
-#29202 := (iff #29176 #29199)
-#29196 := (or #29175 #29185 #27154 #29193)
-#29200 := (iff #29196 #29199)
-#29201 := [rewrite]: #29200
-#29197 := (iff #29176 #29196)
-#29194 := (iff #29171 #29193)
-#29191 := (iff #29170 #29190)
-#29192 := [rewrite]: #29191
-#29195 := [monotonicity #29192]: #29194
-#29188 := (iff #29173 #29185)
-#29177 := (+ #27155 #29134)
-#29180 := (>= #29177 0::int)
-#29186 := (iff #29180 #29185)
-#29187 := [rewrite]: #29186
-#29181 := (iff #29173 #29180)
-#29178 := (= #29172 #29177)
-#29179 := [rewrite]: #29178
-#29182 := [monotonicity #29179]: #29181
-#29189 := [trans #29182 #29187]: #29188
-#29198 := [monotonicity #29189 #29195]: #29197
-#29203 := [trans #29198 #29201]: #29202
-#29209 := [monotonicity #29203]: #29208
-#29213 := [trans #29209 #29211]: #29212
-#29206 := [quant-inst]: #29205
-#29214 := [mp #29206 #29213]: #29204
-#30553 := [unit-resolution #29214 #20917 #28509]: #30548
-#30542 := [unit-resolution #30553 #29481 #30535]: #29193
-#29220 := (or #29190 #29166)
-#29221 := [def-axiom]: #29220
-#30543 := [unit-resolution #29221 #30542]: #29166
-#30596 := [symm #30543]: #30601
-#30599 := (= #29300 #29165)
-#30564 := (= #27840 #29162)
-#30562 := (= #29162 #27840)
-#30560 := (= #29158 #3188)
-#29058 := (uf_116 #3188)
-#29062 := (uf_43 #24854 #29058)
-#30573 := (= #29062 #3188)
-#29063 := (= #3188 #29062)
-#28094 := (uf_48 #3188 #24854)
-#28095 := (= uf_9 #28094)
-#30567 := (= #3189 #28094)
-#28383 := (= #28094 #3189)
-#28384 := [monotonicity #28401]: #28383
-#30546 := [symm #28384]: #30567
-#28097 := (= #24854 #28096)
-#28198 := (* uf_298 #27060)
-#27568 := (uf_116 #27078)
-#28199 := (+ #27568 #28198)
-#28200 := (uf_43 #24854 #28199)
-#28342 := (uf_13 #28200)
-#28479 := (= #28342 #28096)
-#28475 := (= #28096 #28342)
-#28473 := (= #3188 #28200)
-#28194 := (uf_66 #27078 uf_298 #24854)
-#28201 := (= #28194 #28200)
-#28202 := (not #28201)
-#28195 := (uf_138 #28194 #27078)
-#28196 := (= uf_9 #28195)
-#28197 := (not #28196)
-#28205 := (or #28197 #28202)
-#28208 := (not #28205)
-#28213 := (or #27098 #28208)
-#28203 := (or #28202 #28197)
-#28204 := (not #28203)
-#28211 := (or #27098 #28204)
-#28215 := (iff #28211 #28213)
-#28217 := (iff #28213 #28213)
-#28218 := [rewrite]: #28217
-#28209 := (iff #28204 #28208)
-#28206 := (iff #28203 #28205)
-#28207 := [rewrite]: #28206
-#28210 := [monotonicity #28207]: #28209
-#28216 := [monotonicity #28210]: #28215
-#28219 := [trans #28216 #28218]: #28215
-#28214 := [quant-inst]: #28211
-#28289 := [mp #28214 #28219]: #28213
-#28465 := [unit-resolution #28289 #21133]: #28208
-#28292 := (or #28205 #28201)
-#28293 := [def-axiom]: #28292
-#28466 := [unit-resolution #28293 #28465]: #28201
-#28471 := (= #3188 #28194)
-#28469 := (= #28194 #3188)
-#28459 := (= uf_288 #27062)
-#28457 := (= #2980 #27062)
-#28458 := [symm #28456]: #28457
-#28460 := [trans #28404 #28458]: #28459
-#28462 := [monotonicity #28399 #28460]: #28461
-#28464 := [symm #28462]: #28463
-#28470 := [monotonicity #28464 #28401]: #28469
-#28472 := [symm #28470]: #28471
-#28474 := [trans #28472 #28466]: #28473
-#28476 := [monotonicity #28474]: #28475
-#28480 := [symm #28476]: #28479
-#28343 := (= #24854 #28342)
-#28282 := (or #24921 #28343)
-#28283 := [quant-inst]: #28282
-#28451 := [unit-resolution #28283 #23160]: #28343
-#28481 := [trans #28451 #28480]: #28097
-#27976 := (not #28097)
-#28093 := (iff #28095 #28097)
-#28101 := (or #26172 #28093)
-#28098 := (iff #28097 #28095)
-#28102 := (or #26172 #28098)
-#27972 := (iff #28102 #28101)
-#27974 := (iff #28101 #28101)
-#27936 := [rewrite]: #27974
-#28099 := (iff #28098 #28093)
-#28100 := [rewrite]: #28099
-#27973 := [monotonicity #28100]: #27972
-#27937 := [trans #27973 #27936]: #27972
-#27971 := [quant-inst]: #28102
-#27975 := [mp #27971 #27937]: #28101
-#28381 := [unit-resolution #27975 #23147]: #28093
-#28156 := (not #28095)
-#28364 := (iff #18449 #28156)
-#28229 := (iff #12369 #28095)
-#28392 := (iff #28095 #12369)
-#28393 := [monotonicity #28384]: #28392
-#28363 := [symm #28393]: #28229
-#28438 := [monotonicity #28363]: #28364
-#28382 := [hypothesis]: #18449
-#28449 := [mp #28382 #28438]: #28156
-#27970 := (not #28093)
-#27977 := (or #27970 #28095 #27976)
-#27978 := [def-axiom]: #27977
-#28450 := [unit-resolution #27978 #28449 #28381]: #27976
-#28482 := [unit-resolution #28450 #28481]: false
-#28483 := [lemma #28482]: #12369
-#30547 := [trans #28483 #30546]: #28095
-#29071 := (or #28156 #29063)
-#29074 := (or #26156 #28156 #29063)
-#29070 := (or #29063 #28156)
-#29075 := (or #26156 #29070)
-#29082 := (iff #29075 #29074)
-#29077 := (or #26156 #29071)
-#29080 := (iff #29077 #29074)
-#29081 := [rewrite]: #29080
-#29078 := (iff #29075 #29077)
-#29072 := (iff #29070 #29071)
-#29073 := [rewrite]: #29072
-#29079 := [monotonicity #29073]: #29078
-#29083 := [trans #29079 #29081]: #29082
-#29076 := [quant-inst]: #29075
-#29084 := [mp #29076 #29083]: #29074
-#30575 := [unit-resolution #29084 #18177]: #29071
-#30558 := [unit-resolution #30575 #30547]: #29063
-#30574 := [symm #30558]: #30573
-#30557 := (= #29158 #29062)
-#29400 := (* #27060 #29134)
-#29404 := (+ #27319 #29400)
-#29406 := (uf_43 #24854 #29404)
-#30571 := (= #29406 #29062)
-#30551 := (= #29404 #29058)
-#30515 := (= #29058 #29404)
-#30516 := (* -1::int #29404)
-#30517 := (+ #29058 #30516)
-#30518 := (<= #30517 0::int)
-#28931 := (* -1::int #27062)
-#28932 := (+ #24756 #28931)
-#28934 := (>= #28932 0::int)
-#28930 := (= #24756 #27062)
-#30513 := [trans #28521 #28458]: #28930
-#30589 := (not #28930)
-#30566 := (or #30589 #28934)
-#30536 := [th-lemma]: #30566
-#30595 := [unit-resolution #30536 #30513]: #28934
-#29598 := (* -1::int #27319)
-#29599 := (+ #24756 #29598)
-#29600 := (<= #29599 0::int)
-#29597 := (= #24756 #27319)
-#30597 := [symm #28519]: #29597
-#30598 := (not #29597)
-#30616 := (or #30598 #29600)
-#30617 := [th-lemma]: #30616
-#30612 := [unit-resolution #30617 #30597]: #29600
-#29106 := (+ #27062 #28198)
-#29107 := (uf_43 #24854 #29106)
-#29272 := (uf_116 #29107)
-#29276 := (* -1::int #29272)
-#29297 := (+ #29058 #29276)
-#29298 := (<= #29297 0::int)
-#29296 := (= #29058 #29272)
-#30658 := (= #29272 #29058)
-#30622 := (= #29107 #3188)
-#29102 := (uf_66 #24681 uf_298 #24854)
-#30620 := (= #29102 #3188)
-#30621 := [monotonicity #28454 #28401]: #30620
-#30615 := (= #29107 #29102)
-#29108 := (= #29102 #29107)
-#29109 := (not #29108)
-#29103 := (uf_138 #29102 #24681)
-#29104 := (= uf_9 #29103)
-#29105 := (not #29104)
-#29112 := (or #29105 #29109)
-#29115 := (not #29112)
-#29118 := (or #27098 #29115)
-#29110 := (or #29109 #29105)
-#29111 := (not #29110)
-#29119 := (or #27098 #29111)
-#29121 := (iff #29119 #29118)
-#29123 := (iff #29118 #29118)
-#29124 := [rewrite]: #29123
-#29116 := (iff #29111 #29115)
-#29113 := (iff #29110 #29112)
-#29114 := [rewrite]: #29113
-#29117 := [monotonicity #29114]: #29116
-#29122 := [monotonicity #29117]: #29121
-#29125 := [trans #29122 #29124]: #29121
-#29120 := [quant-inst]: #29119
-#29126 := [mp #29120 #29125]: #29118
-#30613 := [unit-resolution #29126 #21133]: #29115
-#29129 := (or #29112 #29108)
-#29130 := [def-axiom]: #29129
-#30618 := [unit-resolution #29130 #30613]: #29108
-#30619 := [symm #30618]: #30615
-#30632 := [trans #30619 #30621]: #30622
-#30659 := [monotonicity #30632]: #30658
-#30660 := [symm #30659]: #29296
-#30661 := (not #29296)
-#30656 := (or #30661 #29298)
-#30662 := [th-lemma]: #30656
-#30628 := [unit-resolution #30662 #30660]: #29298
-#29277 := (+ #28198 #29276)
-#29278 := (+ #27062 #29277)
-#29292 := (>= #29278 0::int)
-#29279 := (= #29278 0::int)
-#29282 := (or #24927 #29279)
-#29273 := (= #29106 #29272)
-#29283 := (or #24927 #29273)
-#29285 := (iff #29283 #29282)
-#29287 := (iff #29282 #29282)
-#29288 := [rewrite]: #29287
-#29280 := (iff #29273 #29279)
-#29281 := [rewrite]: #29280
-#29286 := [monotonicity #29281]: #29285
-#29289 := [trans #29286 #29288]: #29285
-#29284 := [quant-inst]: #29283
-#29290 := [mp #29284 #29289]: #29282
-#30663 := [unit-resolution #29290 #23154]: #29279
-#30664 := (not #29279)
-#30657 := (or #30664 #29292)
-#30665 := [th-lemma]: #30657
-#30666 := [unit-resolution #30665 #30663]: #29292
-#28937 := (>= #27060 1::int)
-#28935 := (= #27060 1::int)
+#7980 := (iff #1493 #7977)
+#7934 := (and #1485 #7931)
+#7937 := (and #7928 #7934)
+#7940 := (and #7922 #7937)
+#7588 := (not #1372)
+#7946 := (or #7588 #7940)
+#7955 := (or #7954 #7946)
+#7960 := (forall (vars (?x346 T4) (?x347 int) (?x348 T3) (?x349 int) (?x350 int)) (:pat #1472 #1475) #7955)
+#7978 := (iff #7960 #7977)
+#7975 := (iff #7955 #7972)
+#7966 := (or #7624 #7963)
+#7969 := (or #7954 #7966)
+#7973 := (iff #7969 #7972)
+#7974 := [rewrite]: #7973
+#7970 := (iff #7955 #7969)
+#7967 := (iff #7946 #7966)
+#7964 := (iff #7940 #7963)
+#7965 := [rewrite]: #7964
+#7625 := (iff #7588 #7624)
+#7622 := (iff #1372 #7621)
+#7619 := (iff #1371 #7618)
+#7620 := [rewrite]: #7619
+#7623 := [monotonicity #4040 #7620]: #7622
+#7626 := [monotonicity #7623]: #7625
+#7968 := [monotonicity #7626 #7965]: #7967
+#7971 := [monotonicity #7968]: #7970
+#7976 := [trans #7971 #7974]: #7975
+#7979 := [quant-intro #7976]: #7978
+#7961 := (iff #1493 #7960)
+#7958 := (iff #1492 #7955)
+#7951 := (implies #7919 #7946)
+#7956 := (iff #7951 #7955)
+#7957 := [rewrite]: #7956
+#7952 := (iff #1492 #7951)
+#7949 := (iff #1491 #7946)
+#7943 := (implies #1372 #7940)
+#7947 := (iff #7943 #7946)
+#7948 := [rewrite]: #7947
+#7944 := (iff #1491 #7943)
+#7941 := (iff #1490 #7940)
+#7938 := (iff #1489 #7937)
+#7935 := (iff #1488 #7934)
+#7932 := (iff #1487 #7931)
+#7933 := [rewrite]: #7932
+#7936 := [monotonicity #7933]: #7935
+#7929 := (iff #1484 #7928)
+#7926 := (iff #1483 #7925)
+#7927 := [rewrite]: #7926
+#7930 := [monotonicity #7927]: #7929
+#7939 := [monotonicity #7930 #7936]: #7938
+#7923 := (iff #1481 #7922)
+#7924 := [rewrite]: #7923
+#7942 := [monotonicity #7924 #7939]: #7941
+#7945 := [monotonicity #7942]: #7944
+#7950 := [trans #7945 #7948]: #7949
+#7920 := (iff #1477 #7919)
+#7921 := [rewrite]: #7920
+#7953 := [monotonicity #7921 #7950]: #7952
+#7959 := [trans #7953 #7957]: #7958
+#7962 := [quant-intro #7959]: #7961
+#7981 := [trans #7962 #7979]: #7980
+#7918 := [asserted]: #1493
+#7982 := [mp #7918 #7981]: #7977
+#16325 := [mp~ #7982 #16324]: #7977
+#20106 := [mp #16325 #20105]: #20103
+#26542 := (not #20103)
+#26543 := (or #26542 #26409 #26427 #26435)
+#26405 := (or #26404 #26402 #26399 #26396)
+#26406 := (not #26405)
+#26415 := (or #26414 #26412 #26409 #26406)
+#26544 := (or #26542 #26415)
+#26551 := (iff #26544 #26543)
+#26441 := (or #26409 #26427 #26435)
+#26546 := (or #26542 #26441)
+#26549 := (iff #26546 #26543)
+#26550 := [rewrite]: #26549
+#26547 := (iff #26544 #26546)
+#26444 := (iff #26415 #26441)
+#26438 := (or false #26427 #26409 #26435)
+#26442 := (iff #26438 #26441)
+#26443 := [rewrite]: #26442
+#26439 := (iff #26415 #26438)
+#26436 := (iff #26406 #26435)
+#26433 := (iff #26405 #26432)
+#26434 := [rewrite]: #26433
+#26437 := [monotonicity #26434]: #26436
+#26440 := [monotonicity #26421 #26431 #26437]: #26439
+#26445 := [trans #26440 #26443]: #26444
+#26548 := [monotonicity #26445]: #26547
+#26532 := [trans #26548 #26550]: #26551
+#26545 := [quant-inst]: #26544
+#26533 := [mp #26545 #26532]: #26543
+#27871 := [unit-resolution #26533 #20106 #26457]: #27870
+#27872 := [unit-resolution #27871 #27869]: #26435
+#26538 := (or #26432 #26401)
+#26539 := [def-axiom]: #26538
+#27873 := [unit-resolution #26539 #27872]: #26401
+#27913 := [symm #27873]: #27912
+#27910 := (= #26748 #26400)
+#27908 := (= #26742 #26397)
+#27906 := (= #26222 #26397)
+#27904 := (= #26397 #26222)
+#27902 := (= #26393 #3044)
+#27900 := (= #26393 #26311)
+#27898 := (= #26393 #26333)
+#27896 := (= #26393 #2979)
+#26574 := (uf_116 #25399)
+#26588 := (uf_43 #24108 #26574)
+#27892 := (= #26588 #2979)
+#27884 := (= #26574 uf_288)
+#27882 := (= #26574 #2980)
+#27880 := (= #24010 #2980)
+#24234 := (= #2980 #24010)
+#24239 := (or #24181 #24234)
+#24240 := [quant-inst]: #24239
+#27874 := [unit-resolution #24240 #22411]: #24234
+#27881 := [symm #27874]: #27880
+#27878 := (= #26574 #24010)
+#27879 := [monotonicity #27877]: #27878
+#27883 := [trans #27879 #27881]: #27882
+#27885 := [trans #27883 #27661]: #27884
+#27893 := [monotonicity #27656 #27885]: #27892
+#27894 := (= #26393 #26588)
+#26570 := (uf_66 #25399 0::int #24108)
+#26591 := (= #26570 #26588)
+#26594 := (not #26591)
+#26571 := (uf_138 #26570 #25399)
+#26572 := (= uf_9 #26571)
+#26573 := (not #26572)
+#26600 := (or #26573 #26594)
+#26605 := (not #26600)
+#26652 := (or #26353 #26605)
+#26575 := (+ #26574 #26316)
+#26576 := (uf_43 #24108 #26575)
+#26577 := (= #26570 #26576)
+#26578 := (not #26577)
+#26579 := (or #26578 #26573)
+#26580 := (not #26579)
+#26653 := (or #26353 #26580)
+#26655 := (iff #26653 #26652)
+#26667 := (iff #26652 #26652)
+#26668 := [rewrite]: #26667
+#26606 := (iff #26580 #26605)
+#26603 := (iff #26579 #26600)
+#26597 := (or #26594 #26573)
+#26601 := (iff #26597 #26600)
+#26602 := [rewrite]: #26601
+#26598 := (iff #26579 #26597)
+#26595 := (iff #26578 #26594)
+#26592 := (iff #26577 #26591)
+#26589 := (= #26576 #26588)
+#26586 := (= #26575 #26574)
+#26581 := (+ #26574 0::int)
+#26584 := (= #26581 #26574)
+#26585 := [rewrite]: #26584
+#26582 := (= #26575 #26581)
+#26583 := [monotonicity #26325]: #26582
+#26587 := [trans #26583 #26585]: #26586
+#26590 := [monotonicity #26587]: #26589
+#26593 := [monotonicity #26590]: #26592
+#26596 := [monotonicity #26593]: #26595
+#26599 := [monotonicity #26596]: #26598
+#26604 := [trans #26599 #26602]: #26603
+#26607 := [monotonicity #26604]: #26606
+#26656 := [monotonicity #26607]: #26655
+#26669 := [trans #26656 #26668]: #26655
+#26654 := [quant-inst]: #26653
+#26688 := [mp #26654 #26669]: #26652
+#27886 := [unit-resolution #26688 #20322]: #26605
+#26692 := (or #26600 #26591)
+#26693 := [def-axiom]: #26692
+#27887 := [unit-resolution #26693 #27886]: #26591
+#27890 := (= #26393 #26570)
+#27891 := [monotonicity #27889]: #27890
+#27895 := [trans #27891 #27887]: #27894
+#27897 := [trans #27895 #27893]: #27896
+#27899 := [trans #27897 #27790]: #27898
+#27901 := [trans #27899 #27792]: #27900
+#27903 := [trans #27901 #27794]: #27902
+#27905 := [monotonicity #27903]: #27904
+#27907 := [symm #27905]: #27906
+#27909 := [trans #27822 #27907]: #27908
+#27911 := [monotonicity #27909]: #27910
+#27915 := [trans #27911 #27913]: #27914
+#27917 := [trans #27915 #27863]: #27916
+#27919 := [monotonicity #27917]: #27918
+#27923 := [trans #27919 #27921]: #27922
+#27925 := [monotonicity #27923]: #27924
+#27927 := [monotonicity #27925]: #27926
+#27929 := [symm #27927]: #27928
+#27931 := [monotonicity #27929]: #27930
+#27932 := [mp #13533 #27931]: #27751
+#27936 := (= #2984 #26751)
+#27933 := (= #26751 #2984)
+#27934 := [monotonicity #27917]: #27933
+#27937 := [symm #27934]: #27936
+#27938 := [trans #13530 #27937]: #26752
+#27744 := (not #26752)
+#27745 := (or #27416 #27744)
+#27746 := [def-axiom]: #27745
+#27939 := [unit-resolution #27746 #27938]: #27416
+#27758 := (or #27005 #26774 #26757 #27415 #27420)
+#27759 := [def-axiom]: #27758
+#27940 := [unit-resolution #27759 #27939 #27932 #27856 #27838]: #27005
+#27762 := (or #27012 #27536)
+#27763 := [def-axiom]: #27762
+#27941 := [unit-resolution #27763 #27940 #27819]: false
+#27943 := [lemma #27941]: #27942
+#28112 := [unit-resolution #27943 #28095]: #28103
+#28113 := [unit-resolution #28112 #28102]: #11979
+#23911 := (or #22686 #17631 #17640 #22680)
+#23912 := [def-axiom]: #23911
+#28111 := [unit-resolution #23912 #28113 #26648 #28087]: #22680
+#23901 := (or #22677 #22671)
+#23902 := [def-axiom]: #23901
+#28114 := [unit-resolution #23902 #28111]: #22671
+#28072 := [hypothesis]: #12866
+#28073 := [th-lemma #13542 #28072]: false
+#28074 := [lemma #28073]: #12863
+#23887 := (or #22674 #12866 #22668)
+#23888 := [def-axiom]: #23887
+#28115 := [unit-resolution #23888 #28074 #28114]: #22668
+#23879 := (or #22665 #22659)
+#23880 := [def-axiom]: #23879
+#28116 := [unit-resolution #23880 #28115]: #22659
+#23889 := (or #22677 #3055)
+#23890 := [def-axiom]: #23889
+#28117 := [unit-resolution #23890 #28111]: #3055
+#26943 := [hypothesis]: #22641
+#26945 := (or #22650 #17676 #22644)
+#23863 := (or #22650 #17676 #12740 #22644)
+#23864 := [def-axiom]: #23863
+#26946 := [unit-resolution #23864 #13542]: #26945
+#28110 := [unit-resolution #26946 #26943 #28117]: #22650
+#23867 := (or #22653 #22647)
+#23868 := [def-axiom]: #23867
+#28118 := [unit-resolution #23868 #28110]: #22653
+#27722 := (or #17676 #17653 #22662 #22644)
+#26876 := (* -1::int #3054)
+#26877 := (+ uf_295 #26876)
+#26878 := (>= #26877 0::int)
+#26623 := (not #26878)
+#27630 := [hypothesis]: #17654
+#23562 := (not #17662)
+#26942 := [hypothesis]: #22659
+#26944 := [hypothesis]: #3055
+#26947 := [unit-resolution #26946 #26944 #26943]: #22650
+#26948 := [unit-resolution #23868 #26947]: #22653
+#23875 := (or #22662 #21419 #22656)
+#23876 := [def-axiom]: #23875
+#27014 := [unit-resolution #23876 #26948 #26942]: #21419
+#23563 := (or #21414 #23562)
+#23564 := [def-axiom]: #23563
+#27015 := [unit-resolution #23564 #27014]: #23562
+#23560 := (or #21414 #17655)
+#23561 := [def-axiom]: #23560
+#27045 := [unit-resolution #23561 #27014]: #17655
+#26624 := (or #26623 #17662 #21399 #17653)
+#27616 := [hypothesis]: #26878
+#27617 := [hypothesis]: #23562
+#27037 := (+ #3054 #17660)
+#27039 := (>= #27037 0::int)
+#27036 := (= #3054 #17659)
+#27629 := (= #17659 #3054)
+#27633 := (= #17658 #3044)
+#27614 := (= ?x773!13 0::int)
+#27631 := [hypothesis]: #17655
+#27632 := [th-lemma #27631 #27630]: #27614
+#27634 := [monotonicity #27632]: #27633
+#27635 := [monotonicity #27634]: #27629
+#26386 := [symm #27635]: #27036
+#26387 := (not #27036)
+#26388 := (or #26387 #27039)
+#26389 := [th-lemma]: #26388
+#26390 := [unit-resolution #26389 #26386]: #27039
+#26521 := [th-lemma #26390 #27617 #27616]: false
+#26625 := [lemma #26521]: #26624
+#27100 := [unit-resolution #26625 #27045 #27015 #27630]: #26623
+#27551 := (or #17676 #26878)
+#27591 := [th-lemma]: #27551
+#27592 := [unit-resolution #27591 #26944 #27100]: false
+#27723 := [lemma #27592]: #27722
+#28119 := [unit-resolution #27723 #26943 #28117 #28116]: #17653
+#23558 := (or #21414 #17654)
+#23559 := [def-axiom]: #23558
+#28120 := [unit-resolution #23559 #28119]: #21414
+#28121 := [unit-resolution #23876 #28120 #28118 #28116]: false
+#28122 := [lemma #28121]: #22644
+#23841 := (or #22641 #13392)
+#23842 := [def-axiom]: #23841
+#29445 := [unit-resolution #23842 #28122]: #13392
+#27504 := (not #27503)
+#29446 := [hypothesis]: #27504
+#28547 := (+ uf_298 #28457)
+#28548 := (<= #28547 0::int)
+#28874 := (not #28214)
+#28877 := (or #28874 #28548)
+#28878 := [th-lemma]: #28877
+#28879 := [unit-resolution #28878 #28873]: #28548
+#29447 := [th-lemma #28879 #29446 #29445 #29444]: false
+#29448 := [lemma #29447]: #27503
+#27512 := (* -1::int #27482)
+#27513 := (+ #24110 #27512)
+#27514 := (<= #27513 0::int)
+#27685 := (not #27514)
+#27640 := (+ uf_298 #27512)
+#27642 := (>= #27640 0::int)
+#28549 := (>= #28547 0::int)
+#29966 := (or #28874 #28549)
+#29967 := [th-lemma]: #29966
+#29968 := [unit-resolution #29967 #28873]: #28549
+#29981 := (not #28549)
+#29823 := (or #27642 #29981)
+#28076 := (<= #28081 0::int)
+#29972 := (or #29442 #28076)
+#29973 := [th-lemma]: #29972
+#29974 := [unit-resolution #29973 #29441]: #28076
+#29980 := (not #28076)
+#29822 := (or #27642 #29980 #29981)
+#29806 := [th-lemma]: #29822
+#29824 := [unit-resolution #29806 #29974]: #29823
+#29825 := [unit-resolution #29824 #29968]: #27642
+#26869 := (uf_66 #26333 uf_297 #26868)
+#26870 := (uf_125 #26869 #26333)
+#26951 := (>= #26870 0::int)
+#26967 := (* -1::int #26870)
+#27040 := (+ uf_297 #26967)
+#27041 := (<= #27040 0::int)
+#28165 := (uf_66 #23935 uf_297 #26369)
+#28166 := (uf_125 #28165 #23935)
+#28318 := (* -1::int #28166)
+#28542 := (+ uf_297 #28318)
+#28543 := (<= #28542 0::int)
+#28167 := (= uf_297 #28166)
+#28235 := (or #26376 #28167)
+#28236 := [quant-inst]: #28235
+#29826 := [unit-resolution #28236 #16290]: #28167
+#29683 := (not #28167)
+#29774 := (or #29683 #28543)
+#29726 := [th-lemma]: #29774
+#29779 := [unit-resolution #29726 #29826]: #28543
+#28480 := (not #28543)
+#28695 := (or #27041 #28480)
+#28077 := (+ #26870 #28318)
+#28079 := (>= #28077 0::int)
+#28075 := (= #26870 #28166)
+#29841 := (= #28166 #26870)
+#29845 := (= #28165 #26869)
+#29730 := (= #3100 #26869)
+#29728 := (= #26869 #3100)
+#29729 := [monotonicity #27789 #29424]: #29728
+#29731 := [symm #29729]: #29730
+#29679 := (= #28165 #3100)
+#29727 := [monotonicity #27709 #27849]: #29679
+#28496 := [trans #29727 #29731]: #29845
+#28499 := [monotonicity #28496 #27796]: #29841
+#28479 := [symm #28499]: #28075
+#28498 := (not #28075)
+#29842 := (or #28498 #28079)
+#29843 := [th-lemma]: #29842
+#29844 := [unit-resolution #29843 #28479]: #28079
+#29828 := (not #28079)
+#28495 := (or #27041 #29828 #28480)
+#28481 := [th-lemma]: #28495
+#29827 := [unit-resolution #28481 #29844]: #28695
+#28696 := [unit-resolution #29827 #29779]: #27041
+#28864 := (not #27041)
+#28989 := (or #26951 #28864)
+#23833 := (or #22641 #12910)
+#23834 := [def-axiom]: #23833
+#28862 := [unit-resolution #23834 #28122]: #12910
+#28497 := (or #26951 #21602 #28864)
+#28963 := [th-lemma]: #28497
+#28984 := [unit-resolution #28963 #28862]: #28989
+#28691 := [unit-resolution #28984 #28696]: #26951
+#26952 := (not #26951)
+#28840 := (or #22629 #26952)
+#23851 := (or #22641 #22477)
+#23852 := [def-axiom]: #23851
+#28540 := [unit-resolution #23852 #28122]: #22477
+#23825 := (or #22641 #12030)
+#23826 := [def-axiom]: #23825
+#28875 := [unit-resolution #23826 #28122]: #12030
+#23847 := (or #22641 #15096)
+#23848 := [def-axiom]: #23847
+#28849 := [unit-resolution #23848 #28122]: #15096
+#23837 := (or #22641 #13359)
+#23838 := [def-axiom]: #23837
+#28859 := [unit-resolution #23838 #28122]: #13359
+#27404 := (or #22629 #26952 #13358 #21769 #21761 #22482)
+#27249 := (uf_66 #2979 #26870 uf_7)
+#27250 := (uf_110 uf_287 #27249)
+#27253 := (= uf_302 #27250)
+#27359 := (= #3101 #27250)
+#27372 := (= #27250 #3101)
+#27366 := (= #27249 #3100)
+#27364 := (= #26870 uf_297)
+#26871 := (= uf_297 #26870)
+#26874 := (or #26376 #26871)
+#26875 := [quant-inst]: #26874
+#27363 := [unit-resolution #26875 #16290]: #26871
+#27365 := [symm #27363]: #27364
+#27367 := [monotonicity #27365]: #27366
+#27373 := [monotonicity #27367]: #27372
+#27374 := [symm #27373]: #27359
+#27375 := (= uf_302 #3101)
+#27368 := [hypothesis]: #12030
+#27369 := [hypothesis]: #22632
+#23793 := (or #22629 #12122)
+#23794 := [def-axiom]: #23793
+#27370 := [unit-resolution #23794 #27369]: #12122
+#27371 := [symm #27370]: #3129
+#27376 := [trans #27371 #27368]: #27375
+#27377 := [trans #27376 #27374]: #27253
+#27234 := (<= #26870 4294967295::int)
+#27378 := [hypothesis]: #15096
+#27042 := (>= #27040 0::int)
+#27379 := (not #26871)
+#27380 := (or #27379 #27042)
+#27381 := [th-lemma]: #27380
+#27382 := [unit-resolution #27381 #27363]: #27042
+#27383 := (not #27042)
+#27384 := (or #27234 #21769 #27383)
+#27385 := [th-lemma]: #27384
+#27386 := [unit-resolution #27385 #27382 #27378]: #27234
+#27276 := (+ uf_286 #26967)
+#27277 := (<= #27276 0::int)
+#27388 := (not #27277)
+#27387 := [hypothesis]: #13359
+#27389 := (or #27388 #13358 #27383)
+#27390 := [th-lemma]: #27389
+#27391 := [unit-resolution #27390 #27382 #27387]: #27388
+#27256 := (not #27253)
+#27235 := (not #27234)
+#27401 := (or #27235 #27256 #27277)
+#27392 := [hypothesis]: #26951
+#23801 := (or #22629 #22623)
+#23802 := [def-axiom]: #23801
+#27393 := [unit-resolution #23802 #27369]: #22623
+#27046 := (+ uf_296 #13286)
+#27049 := (<= #27046 0::int)
+#27394 := (or #21741 #27049)
+#27395 := [th-lemma]: #27394
+#27396 := [unit-resolution #27395 #27370]: #27049
+#27300 := [hypothesis]: #22477
+#23799 := (or #22629 #12967)
+#23800 := [def-axiom]: #23799
+#27397 := [unit-resolution #23800 #27369]: #12967
+#27291 := (not #27049)
+#27306 := (or #21724 #12968 #22482 #27291)
+#27294 := [hypothesis]: #12967
+#27117 := (+ uf_298 #18168)
+#27118 := (<= #27117 0::int)
+#27129 := (+ uf_296 #18155)
+#27130 := (>= #27129 0::int)
+#27290 := (not #27130)
+#27284 := [hypothesis]: #27049
+#23774 := (not #18157)
+#27295 := [hypothesis]: #21729
+#23775 := (or #21724 #23774)
+#23776 := [def-axiom]: #23775
+#27296 := [unit-resolution #23776 #27295]: #23774
+#27292 := (or #27290 #18157 #27291)
+#27285 := [hypothesis]: #23774
+#27288 := [hypothesis]: #27130
+#27289 := [th-lemma #27288 #27285 #27284]: false
+#27293 := [lemma #27289]: #27292
+#27297 := [unit-resolution #27293 #27296 #27284]: #27290
+#27301 := (or #27118 #27130)
+#23772 := (or #21724 #17870)
+#23773 := [def-axiom]: #23772
+#27298 := [unit-resolution #23773 #27295]: #17870
+#23770 := (or #21724 #17866)
+#23771 := [def-axiom]: #23770
+#27299 := [unit-resolution #23771 #27295]: #17866
+#27143 := (or #22482 #21708 #21709 #27118 #27130)
+#27106 := (+ #17874 #13378)
+#27107 := (<= #27106 0::int)
+#27108 := (+ ?x776!15 #12965)
+#27109 := (>= #27108 0::int)
+#27110 := (or #21709 #27109 #27107 #21708)
+#27144 := (or #22482 #27110)
+#27151 := (iff #27144 #27143)
+#27138 := (or #21708 #21709 #27118 #27130)
+#27146 := (or #22482 #27138)
+#27149 := (iff #27146 #27143)
+#27150 := [rewrite]: #27149
+#27147 := (iff #27144 #27146)
+#27141 := (iff #27110 #27138)
+#27135 := (or #21709 #27118 #27130 #21708)
+#27139 := (iff #27135 #27138)
+#27140 := [rewrite]: #27139
+#27136 := (iff #27110 #27135)
+#27133 := (iff #27107 #27130)
+#27123 := (+ #13378 #17874)
+#27126 := (<= #27123 0::int)
+#27131 := (iff #27126 #27130)
+#27132 := [rewrite]: #27131
+#27127 := (iff #27107 #27126)
+#27124 := (= #27106 #27123)
+#27125 := [rewrite]: #27124
+#27128 := [monotonicity #27125]: #27127
+#27134 := [trans #27128 #27132]: #27133
+#27121 := (iff #27109 #27118)
+#27111 := (+ #12965 ?x776!15)
+#27114 := (>= #27111 0::int)
+#27119 := (iff #27114 #27118)
+#27120 := [rewrite]: #27119
+#27115 := (iff #27109 #27114)
+#27112 := (= #27108 #27111)
+#27113 := [rewrite]: #27112
+#27116 := [monotonicity #27113]: #27115
+#27122 := [trans #27116 #27120]: #27121
+#27137 := [monotonicity #27122 #27134]: #27136
+#27142 := [trans #27137 #27140]: #27141
+#27148 := [monotonicity #27142]: #27147
+#27152 := [trans #27148 #27150]: #27151
+#27145 := [quant-inst]: #27144
+#27153 := [mp #27145 #27152]: #27143
+#27302 := [unit-resolution #27153 #27300 #27299 #27298]: #27301
+#27303 := [unit-resolution #27302 #27297]: #27118
+#23777 := (or #21724 #18175)
+#23778 := [def-axiom]: #23777
+#27304 := [unit-resolution #23778 #27295]: #18175
+#27305 := [th-lemma #27304 #27303 #27294]: false
+#27307 := [lemma #27305]: #27306
+#27398 := [unit-resolution #27307 #27397 #27300 #27396]: #21724
+#23785 := (or #22626 #22620 #21729)
+#23786 := [def-axiom]: #23785
+#27399 := [unit-resolution #23786 #27398 #27393]: #22620
+#23766 := (or #22617 #22609)
+#23767 := [def-axiom]: #23766
+#27400 := [unit-resolution #23767 #27399]: #22609
+#27313 := (or #22614 #26952 #27235 #27256 #27277)
+#27240 := (+ #26870 #12727)
+#27241 := (>= #27240 0::int)
+#27248 := (= #27250 uf_302)
+#27251 := (not #27248)
+#27252 := (or #27251 #26952 #27241 #27235)
+#27314 := (or #22614 #27252)
+#27321 := (iff #27314 #27313)
+#27308 := (or #26952 #27235 #27256 #27277)
+#27316 := (or #22614 #27308)
+#27319 := (iff #27316 #27313)
+#27320 := [rewrite]: #27319
+#27317 := (iff #27314 #27316)
+#27311 := (iff #27252 #27308)
+#27257 := (or #27256 #26952 #27277 #27235)
+#27309 := (iff #27257 #27308)
+#27310 := [rewrite]: #27309
+#27258 := (iff #27252 #27257)
+#27287 := (iff #27241 #27277)
+#27271 := (+ #12727 #26870)
+#27268 := (>= #27271 0::int)
+#27278 := (iff #27268 #27277)
+#27286 := [rewrite]: #27278
+#27274 := (iff #27241 #27268)
+#27272 := (= #27240 #27271)
+#27273 := [rewrite]: #27272
+#27275 := [monotonicity #27273]: #27274
+#27189 := [trans #27275 #27286]: #27287
+#27269 := (iff #27251 #27256)
+#27254 := (iff #27248 #27253)
+#27255 := [rewrite]: #27254
+#27270 := [monotonicity #27255]: #27269
+#27281 := [monotonicity #27270 #27189]: #27258
+#27312 := [trans #27281 #27310]: #27311
+#27318 := [monotonicity #27312]: #27317
+#27322 := [trans #27318 #27320]: #27321
+#27315 := [quant-inst]: #27314
+#27323 := [mp #27315 #27322]: #27313
+#27402 := [unit-resolution #27323 #27400 #27392]: #27401
+#27403 := [unit-resolution #27402 #27391 #27386 #27377]: false
+#27405 := [lemma #27403]: #27404
+#28978 := [unit-resolution #27405 #28859 #28849 #28875 #28540]: #28840
+#28985 := [unit-resolution #28978 #28691]: #22629
+#23853 := (or #22641 #22635)
+#23854 := [def-axiom]: #23853
+#29133 := [unit-resolution #23854 #28122]: #22635
+#23809 := (or #22638 #22598 #22632)
+#23810 := [def-axiom]: #23809
+#29134 := [unit-resolution #23810 #29133]: #22635
+#28988 := [unit-resolution #29134 #28985]: #22598
+#23758 := (or #22595 #12968)
+#23759 := [def-axiom]: #23758
+#28538 := [unit-resolution #23759 #28988]: #12968
+#27687 := (not #27642)
+#28488 := (or #27685 #27687 #12967)
+#27688 := (or #27685 #27686 #27687 #12967)
+#27689 := [th-lemma]: #27688
+#28539 := [unit-resolution #27689 #27680]: #28488
+#28525 := [unit-resolution #28539 #28538 #29825]: #27685
+#29715 := (or #26542 #26409 #27504 #27514 #27522)
+#27499 := (or #27498 #27496 #27493 #27490)
+#27500 := (not #27499)
+#27501 := (+ #27482 #26410)
+#27502 := (>= #27501 0::int)
+#27505 := (or #27504 #27502 #26409 #27500)
+#29716 := (or #26542 #27505)
+#29738 := (iff #29716 #29715)
+#27528 := (or #26409 #27504 #27514 #27522)
+#29718 := (or #26542 #27528)
+#29737 := (iff #29718 #29715)
+#29721 := [rewrite]: #29737
+#29735 := (iff #29716 #29718)
+#27531 := (iff #27505 #27528)
+#27525 := (or #27504 #27514 #26409 #27522)
+#27529 := (iff #27525 #27528)
+#27530 := [rewrite]: #27529
+#27526 := (iff #27505 #27525)
+#27523 := (iff #27500 #27522)
+#27520 := (iff #27499 #27519)
+#27521 := [rewrite]: #27520
+#27524 := [monotonicity #27521]: #27523
+#27517 := (iff #27502 #27514)
+#27506 := (+ #26410 #27482)
+#27509 := (>= #27506 0::int)
+#27515 := (iff #27509 #27514)
+#27516 := [rewrite]: #27515
+#27510 := (iff #27502 #27509)
+#27507 := (= #27501 #27506)
+#27508 := [rewrite]: #27507
+#27511 := [monotonicity #27508]: #27510
+#27518 := [trans #27511 #27516]: #27517
+#27527 := [monotonicity #27518 #27524]: #27526
+#27532 := [trans #27527 #27530]: #27531
+#29736 := [monotonicity #27532]: #29735
+#29739 := [trans #29736 #29721]: #29738
+#29717 := [quant-inst]: #29716
+#29740 := [mp #29717 #29739]: #29715
+#29511 := [unit-resolution #29740 #20106 #28525 #27869 #29448 #30005]: false
+#29510 := [lemma #29511]: #27522
+#28981 := (or #27519 #28652)
+#29570 := [hypothesis]: #28647
+#29836 := [hypothesis]: #27522
+#29772 := (or #27519 #27495)
+#29773 := [def-axiom]: #29772
+#29837 := [unit-resolution #29773 #29836]: #27495
+#27556 := (uf_58 #3175 #27555)
+#27557 := (uf_136 #27556)
+#27558 := (= uf_9 #27557)
+#29038 := (not #27558)
+#27559 := (uf_24 uf_287 #27555)
+#27560 := (= uf_9 #27559)
+#27561 := (not #27560)
+#27565 := (or #27558 #27561)
+#27568 := (not #27565)
+#27579 := (or #26500 #23948 #26481 #26484 #27504 #27514 #27568)
+#27562 := (or #27561 #27558)
+#27563 := (not #27562)
+#27564 := (or #26484 #27504 #27502 #23948 #26481 #27563)
+#27580 := (or #26500 #27564)
+#27587 := (iff #27580 #27579)
+#27574 := (or #23948 #26481 #26484 #27504 #27514 #27568)
+#27582 := (or #26500 #27574)
+#27585 := (iff #27582 #27579)
+#27586 := [rewrite]: #27585
+#27583 := (iff #27580 #27582)
+#27577 := (iff #27564 #27574)
+#27571 := (or #26484 #27504 #27514 #23948 #26481 #27568)
+#27575 := (iff #27571 #27574)
+#27576 := [rewrite]: #27575
+#27572 := (iff #27564 #27571)
+#27569 := (iff #27563 #27568)
+#27566 := (iff #27562 #27565)
+#27567 := [rewrite]: #27566
+#27570 := [monotonicity #27567]: #27569
+#27573 := [monotonicity #27518 #27570]: #27572
+#27578 := [trans #27573 #27576]: #27577
+#27584 := [monotonicity #27578]: #27583
+#27588 := [trans #27584 #27586]: #27587
+#27581 := [quant-inst]: #27580
+#27589 := [mp #27581 #27588]: #27579
+#29312 := [unit-resolution #27589 #20766 #13537 #28088 #28525 #27696 #29448]: #27568
+#29777 := (or #27565 #29038)
+#29778 := [def-axiom]: #29777
+#28973 := [unit-resolution #29778 #29312]: #29038
+#29704 := (or #28652 #27496 #27558)
+#29567 := (= #2984 #28581)
+#29558 := (= #28581 #2984)
+#29931 := (= #28578 #2981)
+#29929 := (= #28578 #26392)
+#29927 := (= #27494 #26392)
+#29874 := [hypothesis]: #27495
+#29928 := [symm #29874]: #29927
+#29925 := (= #28578 #27494)
+#29923 := (= #27095 #27491)
+#29921 := (= #27491 #27095)
+#29919 := (= #27485 #3220)
+#28238 := (uf_116 #3220)
+#28242 := (uf_43 #24108 #28238)
+#29913 := (= #28242 #3220)
+#28243 := (= #3220 #28242)
+#27349 := (uf_48 #3220 #24108)
+#27350 := (= uf_9 #27349)
+#29876 := (= #3221 #27349)
+#27638 := (= #27349 #3221)
+#27639 := [monotonicity #27656]: #27638
+#29877 := [symm #27639]: #29876
+#27352 := (= #24108 #27351)
+#27453 := (* uf_298 #26315)
+#26823 := (uf_116 #26333)
+#27454 := (+ #26823 #27453)
+#27455 := (uf_43 #24108 #27454)
+#27597 := (uf_13 #27455)
+#27734 := (= #27597 #27351)
+#27730 := (= #27351 #27597)
+#27728 := (= #3220 #27455)
+#27449 := (uf_66 #26333 uf_298 #24108)
+#27456 := (= #27449 #27455)
+#27457 := (not #27456)
+#27450 := (uf_138 #27449 #26333)
+#27451 := (= uf_9 #27450)
+#27452 := (not #27451)
+#27460 := (or #27452 #27457)
+#27463 := (not #27460)
+#27468 := (or #26353 #27463)
+#27458 := (or #27457 #27452)
+#27459 := (not #27458)
+#27466 := (or #26353 #27459)
+#27470 := (iff #27466 #27468)
+#27472 := (iff #27468 #27468)
+#27473 := [rewrite]: #27472
+#27464 := (iff #27459 #27463)
+#27461 := (iff #27458 #27460)
+#27462 := [rewrite]: #27461
+#27465 := [monotonicity #27462]: #27464
+#27471 := [monotonicity #27465]: #27470
+#27474 := [trans #27471 #27473]: #27470
+#27469 := [quant-inst]: #27466
+#27544 := [mp #27469 #27474]: #27468
+#27720 := [unit-resolution #27544 #20322]: #27463
+#27547 := (or #27460 #27456)
+#27548 := [def-axiom]: #27547
+#27721 := [unit-resolution #27548 #27720]: #27456
+#27726 := (= #3220 #27449)
+#27724 := (= #27449 #3220)
+#27714 := (= uf_288 #26317)
+#27712 := (= #2980 #26317)
+#27713 := [symm #27711]: #27712
+#27715 := [trans #27659 #27713]: #27714
+#27717 := [monotonicity #27654 #27715]: #27716
+#27719 := [symm #27717]: #27718
+#27725 := [monotonicity #27719 #27656]: #27724
+#27727 := [symm #27725]: #27726
+#27729 := [trans #27727 #27721]: #27728
+#27731 := [monotonicity #27729]: #27730
+#27735 := [symm #27731]: #27734
+#27598 := (= #24108 #27597)
+#27537 := (or #24175 #27598)
+#27538 := [quant-inst]: #27537
+#27706 := [unit-resolution #27538 #22417]: #27598
+#27736 := [trans #27706 #27735]: #27352
+#27231 := (not #27352)
+#27348 := (iff #27350 #27352)
+#27356 := (or #25427 #27348)
+#27353 := (iff #27352 #27350)
+#27357 := (or #25427 #27353)
+#27227 := (iff #27357 #27356)
+#27229 := (iff #27356 #27356)
+#27191 := [rewrite]: #27229
+#27354 := (iff #27353 #27348)
+#27355 := [rewrite]: #27354
+#27228 := [monotonicity #27355]: #27227
+#27192 := [trans #27228 #27191]: #27227
+#27226 := [quant-inst]: #27357
+#27230 := [mp #27226 #27192]: #27356
+#27636 := [unit-resolution #27230 #22404]: #27348
+#27411 := (not #27350)
+#27619 := (iff #17721 #27411)
+#27484 := (iff #12346 #27350)
+#27647 := (iff #27350 #12346)
+#27648 := [monotonicity #27639]: #27647
+#27618 := [symm #27648]: #27484
+#27693 := [monotonicity #27618]: #27619
+#27637 := [hypothesis]: #17721
+#27704 := [mp #27637 #27693]: #27411
+#27225 := (not #27348)
+#27232 := (or #27225 #27350 #27231)
+#27233 := [def-axiom]: #27232
+#27705 := [unit-resolution #27233 #27704 #27636]: #27231
+#27737 := [unit-resolution #27705 #27736]: false
+#27738 := [lemma #27737]: #12346
+#29878 := [trans #27738 #29877]: #27350
+#28251 := (or #27411 #28243)
+#28339 := (or #25411 #27411 #28243)
+#28250 := (or #28243 #27411)
+#28357 := (or #25411 #28250)
+#28372 := (iff #28357 #28339)
+#28362 := (or #25411 #28251)
+#28364 := (iff #28362 #28339)
+#28371 := [rewrite]: #28364
+#28363 := (iff #28357 #28362)
+#28252 := (iff #28250 #28251)
+#28253 := [rewrite]: #28252
+#28349 := [monotonicity #28253]: #28363
+#28380 := [trans #28349 #28371]: #28372
+#28361 := [quant-inst]: #28357
+#28381 := [mp #28361 #28380]: #28339
+#29879 := [unit-resolution #28381 #17465]: #28251
+#29880 := [unit-resolution #29879 #29878]: #28243
+#29914 := [symm #29880]: #29913
+#29917 := (= #27485 #28242)
+#29001 := (* #26315 #27482)
+#29004 := (+ #26574 #29001)
+#29007 := (uf_43 #24108 #29004)
+#29911 := (= #29007 #28242)
+#29905 := (= #29004 #28238)
+#28185 := (+ #26317 #27453)
+#28186 := (uf_43 #24108 #28185)
+#28369 := (uf_116 #28186)
+#29901 := (= #28369 #28238)
+#29887 := (= #28186 #3220)
+#28181 := (uf_66 #23935 uf_298 #24108)
+#29885 := (= #28181 #3220)
+#29886 := [monotonicity #27709 #27656]: #29885
+#29883 := (= #28186 #28181)
+#28187 := (= #28181 #28186)
+#28188 := (not #28187)
+#28182 := (uf_138 #28181 #23935)
+#28183 := (= uf_9 #28182)
+#28184 := (not #28183)
+#28191 := (or #28184 #28188)
+#28194 := (not #28191)
+#28286 := (or #26353 #28194)
+#28189 := (or #28188 #28184)
+#28190 := (not #28189)
+#28287 := (or #26353 #28190)
+#28288 := (iff #28287 #28286)
+#28290 := (iff #28286 #28286)
+#28262 := [rewrite]: #28290
+#28195 := (iff #28190 #28194)
+#28192 := (iff #28189 #28191)
+#28193 := [rewrite]: #28192
+#28196 := [monotonicity #28193]: #28195
+#28289 := [monotonicity #28196]: #28288
+#28263 := [trans #28289 #28262]: #28288
+#28283 := [quant-inst]: #28287
+#28254 := [mp #28283 #28263]: #28286
+#29881 := [unit-resolution #28254 #20322]: #28194
+#28267 := (or #28191 #28187)
+#28265 := [def-axiom]: #28267
+#29882 := [unit-resolution #28265 #29881]: #28187
+#29884 := [symm #29882]: #29883
+#29888 := [trans #29884 #29886]: #29887
+#29902 := [monotonicity #29888]: #29901
+#29903 := (= #29004 #28369)
+#28370 := (= #28185 #28369)
+#28373 := (* -1::int #28369)
+#28374 := (+ #27453 #28373)
+#28375 := (+ #26317 #28374)
+#28843 := (<= #28375 0::int)
+#28376 := (= #28375 0::int)
+#28838 := (or #24181 #28376)
+#28842 := (or #24181 #28370)
+#28912 := (iff #28842 #28838)
+#28907 := (iff #28838 #28838)
+#28908 := [rewrite]: #28907
+#28377 := (iff #28370 #28376)
+#28378 := [rewrite]: #28377
+#28841 := [monotonicity #28378]: #28912
+#28865 := [trans #28841 #28908]: #28912
+#28911 := [quant-inst]: #28842
+#28839 := [mp #28911 #28865]: #28838
+#29889 := [unit-resolution #28839 #22411]: #28376
+#29890 := (not #28376)
+#29891 := (or #29890 #28843)
+#29892 := [th-lemma]: #29891
+#29893 := [unit-resolution #29892 #29889]: #28843
+#28765 := (>= #28375 0::int)
+#29894 := (or #29890 #28765)
+#29895 := [th-lemma]: #29894
+#29896 := [unit-resolution #29895 #29889]: #28765
+#29897 := [th-lemma #29896 #29893]: #28370
+#29899 := (= #29004 #28185)
+#29868 := (= #28185 #29004)
+#29869 := (* -1::int #29004)
+#29870 := (+ #28185 #29869)
+#29871 := (<= #29870 0::int)
+#29267 := (* -1::int #26574)
+#29276 := (+ #24010 #29267)
+#29277 := (<= #29276 0::int)
+#29271 := (= #24010 #26574)
+#29860 := [symm #27879]: #29271
+#29861 := (not #29271)
+#29862 := (or #29861 #29277)
+#29863 := [th-lemma]: #29862
+#29935 := [unit-resolution #29863 #29860]: #29277
+#28718 := (>= #26315 1::int)
+#28559 := (= #26315 1::int)
 #2932 := (uf_139 uf_7)
 #2933 := (= #2932 1::int)
-#11840 := [asserted]: #2933
-#30673 := (= #27060 #2932)
-#30674 := [monotonicity #28401]: #30673
-#30675 := [trans #30674 #11840]: #28935
-#30676 := (not #28935)
-#30677 := (or #30676 #28937)
-#30672 := [th-lemma]: #30677
-#30627 := [unit-resolution #30672 #30675]: #28937
-#28936 := (<= #27060 1::int)
-#30678 := (or #30676 #28936)
-#30633 := [th-lemma]: #30678
-#30679 := [unit-resolution #30633 #30675]: #28936
-#30693 := (not #29600)
-#30698 := (not #29294)
-#30697 := (not #28936)
-#30695 := (not #28937)
-#30682 := (not #28934)
-#30681 := (not #29292)
-#30680 := (not #29298)
-#30694 := (or #30518 #30680 #30681 #30682 #30695 #30697 #30695 #30697 #30698 #30693)
-#30699 := [th-lemma]: #30694
-#30696 := [unit-resolution #30699 #30679 #30627 #30666 #29479 #30628 #30612 #30595]: #30518
-#30528 := (>= #30517 0::int)
-#28933 := (<= #28932 0::int)
-#30700 := (or #30589 #28933)
-#30701 := [th-lemma]: #30700
-#30702 := [unit-resolution #30701 #30513]: #28933
-#29601 := (>= #29599 0::int)
-#30703 := (or #30598 #29601)
-#30704 := [th-lemma]: #30703
-#30705 := [unit-resolution #30704 #30597]: #29601
-#29299 := (>= #29297 0::int)
-#30706 := (or #30661 #29299)
-#30709 := [th-lemma]: #30706
-#30741 := [unit-resolution #30709 #30660]: #29299
-#29291 := (<= #29278 0::int)
-#30742 := (or #30664 #29291)
-#30743 := [th-lemma]: #30742
-#30744 := [unit-resolution #30743 #30663]: #29291
-#30748 := (not #29601)
-#30747 := (not #28933)
-#30746 := (not #29291)
-#30745 := (not #29299)
-#30749 := (or #30528 #30745 #30746 #30747 #30695 #30697 #30695 #30697 #30529 #30748)
-#30750 := [th-lemma]: #30749
-#30751 := [unit-resolution #30750 #30679 #30627 #30744 #30527 #30741 #30705 #30702]: #30528
-#30753 := (not #30528)
-#30752 := (not #30518)
-#30754 := (or #30515 #30752 #30753)
-#30755 := [th-lemma]: #30754
-#30756 := [unit-resolution #30755 #30751 #30696]: #30515
-#30061 := [symm #30756]: #30551
-#30059 := [monotonicity #30061]: #30571
-#30587 := (= #29158 #29406)
-#29458 := (uf_66 #26144 #29134 #24854)
-#29409 := (= #29458 #29406)
-#29477 := (= #29406 #29458)
-#29487 := (not #29477)
-#29459 := (uf_138 #29458 #26144)
-#29460 := (= uf_9 #29459)
-#29393 := (not #29460)
-#29517 := (or #29393 #29487)
-#29521 := (not #29517)
-#29528 := (or #27098 #29521)
-#29394 := (* #29134 #27060)
-#29392 := (+ #27319 #29394)
-#29395 := (uf_43 #24854 #29392)
-#29396 := (= #29458 #29395)
-#29397 := (not #29396)
-#29398 := (or #29397 #29393)
-#29399 := (not #29398)
-#29529 := (or #27098 #29399)
-#29538 := (iff #29529 #29528)
-#29540 := (iff #29528 #29528)
-#29541 := [rewrite]: #29540
-#29522 := (iff #29399 #29521)
-#29519 := (iff #29398 #29517)
-#29514 := (or #29487 #29393)
-#29518 := (iff #29514 #29517)
-#29513 := [rewrite]: #29518
-#29515 := (iff #29398 #29514)
-#29498 := (iff #29397 #29487)
-#29485 := (iff #29396 #29477)
-#29483 := (iff #29409 #29477)
-#29484 := [rewrite]: #29483
-#29410 := (iff #29396 #29409)
-#29407 := (= #29395 #29406)
-#29402 := (= #29392 #29404)
-#29488 := (= #29394 #29400)
-#29403 := [rewrite]: #29488
-#29405 := [monotonicity #29403]: #29402
-#29408 := [monotonicity #29405]: #29407
-#29482 := [monotonicity #29408]: #29410
-#29486 := [trans #29482 #29484]: #29485
-#29499 := [monotonicity #29486]: #29498
-#29516 := [monotonicity #29499]: #29515
-#29520 := [trans #29516 #29513]: #29519
-#29523 := [monotonicity #29520]: #29522
-#29539 := [monotonicity #29523]: #29538
-#29542 := [trans #29539 #29541]: #29538
-#29537 := [quant-inst]: #29529
-#29535 := [mp #29537 #29542]: #29528
-#30545 := [unit-resolution #29535 #21133]: #29521
-#29593 := (or #29517 #29477)
-#29594 := [def-axiom]: #29593
-#30568 := [unit-resolution #29594 #30545]: #29477
-#30570 := [symm #30568]: #29409
-#30544 := (= #29158 #29458)
-#30569 := [monotonicity #28529]: #30544
-#30550 := [trans #30569 #30570]: #30587
-#30062 := [trans #30550 #30059]: #30557
-#30063 := [trans #30062 #30574]: #30560
-#30104 := [monotonicity #30063]: #30562
-#30064 := [symm #30104]: #30564
-#30065 := [monotonicity #30064]: #30599
-#30066 := [trans #30065 #30596]: #30602
-#30067 := [trans #30066 #28503]: #30604
-#30113 := [monotonicity #30067]: #30110
-#30121 := [symm #30113]: #30109
-#30077 := [trans #14286 #30121]: #29304
-#30074 := (not #29304)
-#30075 := (or #29360 #30074)
-#30076 := [def-axiom]: #30075
-#30079 := [unit-resolution #30076 #30077]: #29360
-#30192 := (= #25393 #29318)
-#30150 := (= #29318 #25393)
-#30108 := (= #28096 uf_7)
-#30078 := (= #28096 #24854)
-#29085 := (or #27970 #28156 #28097)
-#29086 := [def-axiom]: #29085
-#30080 := [unit-resolution #29086 #30547 #28381]: #28097
-#30115 := [symm #30080]: #30078
-#30149 := [trans #30115 #28401]: #30108
-#30189 := [monotonicity #30149]: #30150
-#30158 := [symm #30189]: #30192
-#30159 := [trans #27692 #30158]: #29336
-#29899 := (not #29309)
-#30092 := (iff #11905 #29899)
-#30090 := (iff #11902 #29309)
-#30088 := (iff #29309 #11902)
-#30103 := (= #29308 #2990)
-#30100 := (= #29307 #2977)
-#29898 := (= #29307 #24974)
-#30160 := [monotonicity #30067]: #29898
-#30102 := [trans #30160 #28564]: #30100
-#30101 := [monotonicity #30102]: #30103
-#30089 := [monotonicity #30101]: #30088
-#30091 := [symm #30089]: #30090
-#30087 := [monotonicity #30091]: #30092
-#30155 := [mp #14289 #30087]: #29899
-#29226 := (uf_66 #27214 #29134 #24854)
-#29227 := (uf_58 #3157 #29226)
-#29228 := (uf_136 #29227)
-#29229 := (= uf_9 #29228)
-#29261 := (not #29229)
-#30308 := (iff #29261 #29315)
-#30318 := (iff #29229 #29314)
-#30316 := (iff #29314 #29229)
-#30195 := (= #29313 #29228)
-#30206 := (= #27840 #29227)
-#30204 := (= #29227 #27840)
-#30161 := (= #29226 #3188)
-#30194 := (= #29134 uf_298)
-#30163 := [symm #29491]: #30194
-#30162 := [monotonicity #28408 #30163 #28401]: #30161
-#30205 := [monotonicity #30162]: #30204
-#29918 := [symm #30205]: #30206
-#30207 := [monotonicity #29918]: #30195
-#30317 := [monotonicity #30207]: #30316
-#30321 := [symm #30317]: #30318
-#30327 := [monotonicity #30321]: #30308
-#29230 := (uf_24 uf_287 #29226)
-#29231 := (= uf_9 #29230)
-#29232 := (not #29231)
-#29236 := (or #29229 #29232)
-#29239 := (not #29236)
-#30188 := (or #29175 #29185 #29239)
-#29250 := (or #27245 #24694 #27226 #27229 #29175 #29185 #29239)
-#29233 := (or #29232 #29229)
-#29234 := (not #29233)
-#29235 := (or #27229 #29175 #29173 #24694 #27226 #29234)
-#29251 := (or #27245 #29235)
-#29258 := (iff #29251 #29250)
-#29245 := (or #24694 #27226 #27229 #29175 #29185 #29239)
-#29253 := (or #27245 #29245)
-#29256 := (iff #29253 #29250)
-#29257 := [rewrite]: #29256
-#29254 := (iff #29251 #29253)
-#29248 := (iff #29235 #29245)
-#29242 := (or #27229 #29175 #29185 #24694 #27226 #29239)
-#29246 := (iff #29242 #29245)
-#29247 := [rewrite]: #29246
-#29243 := (iff #29235 #29242)
-#29240 := (iff #29234 #29239)
-#29237 := (iff #29233 #29236)
-#29238 := [rewrite]: #29237
-#29241 := [monotonicity #29238]: #29240
-#29244 := [monotonicity #29189 #29241]: #29243
-#29249 := [trans #29244 #29247]: #29248
-#29255 := [monotonicity #29249]: #29254
-#29259 := [trans #29255 #29257]: #29258
-#29252 := [quant-inst]: #29251
-#29260 := [mp #29252 #29259]: #29250
-#30196 := [unit-resolution #29260 #21577 #14275 #28847 #28441]: #30188
-#30197 := [unit-resolution #30196 #29481 #30535]: #29239
-#29262 := (or #29236 #29261)
-#29263 := [def-axiom]: #29262
-#30154 := [unit-resolution #29263 #30197]: #29261
-#30328 := [mp #30154 #30327]: #29315
-#30068 := (or #29354 #29314)
-#30069 := [def-axiom]: #30068
-#30362 := [unit-resolution #30069 #30328]: #29354
-#29889 := (or #29374 #29309 #29351 #29357 #29363)
-#29911 := [def-axiom]: #29889
-#30363 := [unit-resolution #29911 #30362 #30155 #30159 #30079 #30058]: false
-#30364 := [lemma #30363]: #29374
-#29947 := (or #29377 #29369)
-#29948 := [def-axiom]: #29947
-#30786 := [unit-resolution #29948 #30364]: #29377
-#24581 := (or #23384 #13436)
-#24582 := [def-axiom]: #24581
-#29645 := [unit-resolution #24582 #29548]: #13436
-#28447 := (or #12372 #13576 #27226 #13721)
-#28390 := [hypothesis]: #13436
-#28226 := (uf_66 #27078 uf_298 #27613)
-#28227 := (uf_125 #28226 #27078)
-#28257 := (* -1::int #28227)
-#28385 := (+ uf_298 #28257)
-#28386 := (<= #28385 0::int)
-#28228 := (= uf_298 #28227)
-#28231 := (or #27121 #28228)
-#28232 := [quant-inst]: #28231
-#28391 := [unit-resolution #28232 #17002]: #28228
-#28394 := (not #28228)
-#28395 := (or #28394 #28386)
-#28396 := [th-lemma]: #28395
-#28397 := [unit-resolution #28396 #28391]: #28386
-#28248 := (>= #28227 0::int)
-#28249 := (not #28248)
-#28300 := (uf_66 #27214 #28227 #24854)
-#28304 := (uf_24 uf_287 #28300)
-#28305 := (= uf_9 #28304)
-#28306 := (not #28305)
-#28301 := (uf_58 #3157 #28300)
-#28302 := (uf_136 #28301)
-#28303 := (= uf_9 #28302)
-#28310 := (or #28303 #28306)
-#28417 := (iff #18452 #28306)
-#28415 := (iff #12372 #28305)
-#28413 := (iff #28305 #12372)
-#28411 := (= #28304 #3191)
-#28409 := (= #28300 #3188)
-#28402 := (= #28227 uf_298)
-#28403 := [symm #28391]: #28402
-#28410 := [monotonicity #28408 #28403 #28401]: #28409
-#28412 := [monotonicity #28410]: #28411
-#28414 := [monotonicity #28412]: #28413
-#28416 := [symm #28414]: #28415
-#28418 := [monotonicity #28416]: #28417
-#28398 := [hypothesis]: #18452
-#28419 := [mp #28398 #28418]: #28306
-#28338 := (or #28310 #28305)
-#28339 := [def-axiom]: #28338
-#28420 := [unit-resolution #28339 #28419]: #28310
-#28258 := (+ #24856 #28257)
-#28259 := (<= #28258 0::int)
-#28430 := (not #28259)
-#28426 := [hypothesis]: #13722
-#28387 := (>= #28385 0::int)
-#28427 := (or #28394 #28387)
-#28428 := [th-lemma]: #28427
-#28429 := [unit-resolution #28428 #28391]: #28387
-#28432 := (not #28387)
-#28433 := (or #28430 #28431 #28432 #13721)
-#28434 := [th-lemma]: #28433
-#28435 := [unit-resolution #28434 #28429 #28426 #28425]: #28430
-#28313 := (not #28310)
-#28443 := (or #28249 #28259 #28313)
-#28324 := (or #27245 #24694 #27226 #27229 #28249 #28259 #28313)
-#28307 := (or #28306 #28303)
-#28308 := (not #28307)
-#28246 := (+ #28227 #27155)
-#28247 := (>= #28246 0::int)
-#28309 := (or #27229 #28249 #28247 #24694 #27226 #28308)
-#28325 := (or #27245 #28309)
-#28332 := (iff #28325 #28324)
-#28319 := (or #24694 #27226 #27229 #28249 #28259 #28313)
-#28327 := (or #27245 #28319)
-#28330 := (iff #28327 #28324)
-#28331 := [rewrite]: #28330
-#28328 := (iff #28325 #28327)
-#28322 := (iff #28309 #28319)
-#28316 := (or #27229 #28249 #28259 #24694 #27226 #28313)
-#28320 := (iff #28316 #28319)
-#28321 := [rewrite]: #28320
-#28317 := (iff #28309 #28316)
-#28314 := (iff #28308 #28313)
-#28311 := (iff #28307 #28310)
-#28312 := [rewrite]: #28311
-#28315 := [monotonicity #28312]: #28314
-#28262 := (iff #28247 #28259)
-#28251 := (+ #27155 #28227)
-#28254 := (>= #28251 0::int)
-#28260 := (iff #28254 #28259)
-#28261 := [rewrite]: #28260
-#28255 := (iff #28247 #28254)
-#28252 := (= #28246 #28251)
-#28253 := [rewrite]: #28252
-#28256 := [monotonicity #28253]: #28255
-#28263 := [trans #28256 #28261]: #28262
-#28318 := [monotonicity #28263 #28315]: #28317
-#28323 := [trans #28318 #28321]: #28322
-#28329 := [monotonicity #28323]: #28328
-#28333 := [trans #28329 #28331]: #28332
-#28326 := [quant-inst]: #28325
-#28334 := [mp #28326 #28333]: #28324
-#28444 := [unit-resolution #28334 #21577 #14275 #28442 #28441]: #28443
-#28445 := [unit-resolution #28444 #28435 #28420]: #28249
-#28446 := [th-lemma #28445 #28397 #28390]: false
-#28448 := [lemma #28446]: #28447
-#29646 := [unit-resolution #28448 #29588 #28847 #29645]: #12372
-#30096 := (or #29386 #18452 #29380)
-#30097 := [def-axiom]: #30096
-#30787 := [unit-resolution #30097 #29646 #30786]: #29386
-#29962 := (or #29961 #12378 #29383)
-#29960 := [def-axiom]: #29962
-#30792 := [unit-resolution #29960 #30787]: #30791
-#30793 := [unit-resolution #30792 #30191]: #12378
-#30801 := (or #18458 #23317)
-#24505 := (or #23338 #23332)
-#24506 := [def-axiom]: #24505
-#30794 := [unit-resolution #24506 #29587]: #23332
-#30795 := (or #23335 #18452 #23329)
-#24497 := (or #23335 #18449 #18452 #23329)
-#24498 := [def-axiom]: #24497
-#30796 := [unit-resolution #24498 #28483]: #30795
-#30797 := [unit-resolution #30796 #29646 #30794]: #23329
-#24487 := (or #23326 #23320)
-#24488 := [def-axiom]: #24487
-#30798 := [unit-resolution #24488 #30797]: #23320
-#30799 := (or #23323 #18458 #23317)
-#24481 := (or #23323 #18449 #18458 #23317)
-#24482 := [def-axiom]: #24481
-#30800 := [unit-resolution #24482 #28483]: #30799
-#30802 := [unit-resolution #30800 #30798]: #30801
-#30803 := [unit-resolution #30802 #30793]: #23317
-#30804 := (or #23314 #23275)
-#24329 := (not #18823)
-#30463 := (= #3083 #3227)
-#30461 := (= #3227 #3083)
-#30457 := (= #3226 #3082)
-#30454 := [hypothesis]: #23305
-#24443 := (or #23302 #12671)
-#24444 := [def-axiom]: #24443
-#30455 := [unit-resolution #24444 #30454]: #12671
-#30456 := [symm #30455]: #3264
-#30458 := [monotonicity #30456]: #30457
-#30462 := [monotonicity #30458]: #30461
-#30464 := [symm #30462]: #30463
-#30465 := (= uf_304 #3083)
-#24441 := (or #23302 #12668)
-#24442 := [def-axiom]: #24441
-#30459 := [unit-resolution #24442 #30454]: #12668
-#30460 := [symm #30459]: #3263
-#30466 := [trans #30460 #29551]: #30465
-#30467 := [trans #30466 #30464]: #12428
-#24438 := (+ uf_297 #13512)
-#24440 := (>= #24438 0::int)
-#30468 := (or #12677 #24440)
-#30469 := [th-lemma]: #30468
-#30420 := [unit-resolution #30469 #30455]: #24440
-#30082 := (not #24440)
-#30083 := (or #13515 #30082)
-#30111 := [hypothesis]: #24440
-#30112 := [hypothesis]: #13514
-#30081 := [th-lemma #30112 #30111 #29553]: false
-#30084 := [lemma #30081]: #30083
-#30424 := [unit-resolution #30084 #30420]: #13515
-#24317 := (or #22257 #22255 #13514)
-#24318 := [def-axiom]: #24317
-#30425 := [unit-resolution #24318 #30424 #30467]: #22257
-#24319 := (or #23236 #22256)
-#24320 := [def-axiom]: #24319
-#30421 := [unit-resolution #24320 #30425]: #23236
-#24453 := (or #23302 #23266)
-#24454 := [def-axiom]: #24453
-#30426 := [unit-resolution #24454 #30454]: #23266
-#30430 := (or #23269 #23263)
-#15731 := (<= uf_286 4294967295::int)
-#15734 := (iff #13361 #15731)
-#15725 := (+ 4294967295::int #13362)
-#15728 := (>= #15725 0::int)
-#15732 := (iff #15728 #15731)
-#15733 := [rewrite]: #15732
-#15729 := (iff #13361 #15728)
-#15726 := (= #13363 #15725)
-#15727 := [monotonicity #7510]: #15726
-#15730 := [monotonicity #15727]: #15729
-#15735 := [trans #15730 #15733]: #15734
-#14277 := [not-or-elim #14266]: #13366
-#14279 := [and-elim #14277]: #13361
-#15736 := [mp #14279 #15735]: #15731
-#29589 := [hypothesis]: #18490
-#29590 := [th-lemma #29589 #29588 #15736]: false
-#29591 := [lemma #29590]: #15820
-#30427 := (or #13576 #13454)
-#30428 := [th-lemma]: #30427
-#30429 := [unit-resolution #30428 #29645]: #13454
-#24377 := (or #23269 #18487 #18490 #23263)
-#24378 := [def-axiom]: #24377
-#30431 := [unit-resolution #24378 #30429 #29591]: #30430
-#30432 := [unit-resolution #30431 #30426]: #23263
-#24367 := (or #23260 #23254)
-#24368 := [def-axiom]: #24367
-#30434 := [unit-resolution #24368 #30432]: #23254
-#24312 := (>= #13539 -1::int)
-#24363 := (or #23260 #13538)
-#24364 := [def-axiom]: #24363
-#30435 := [unit-resolution #24364 #30432]: #13538
-#30433 := (or #13542 #24312)
-#30436 := [th-lemma]: #30433
-#30437 := [unit-resolution #30436 #30435]: #24312
-#30126 := (not #24312)
-#30127 := (or #13470 #30126)
-#30085 := [hypothesis]: #24312
-#30086 := [hypothesis]: #13475
-#30120 := [th-lemma #30086 #29588 #30085]: false
-#30128 := [lemma #30120]: #30127
-#30438 := [unit-resolution #30128 #30437]: #13470
-#24353 := (or #23257 #13475 #23251)
-#24354 := [def-axiom]: #24353
-#30439 := [unit-resolution #24354 #30438 #30434]: #23251
-#24345 := (or #23248 #23242)
-#24346 := [def-axiom]: #24345
-#30440 := [unit-resolution #24346 #30439]: #23242
-#24341 := (or #23245 #23239 #22309)
-#24342 := [def-axiom]: #24341
-#30441 := [unit-resolution #24342 #30440 #30421]: #22309
-#24330 := (or #22304 #24329)
-#24331 := [def-axiom]: #24330
-#30482 := [unit-resolution #24331 #30441]: #24329
-#30226 := (+ uf_298 #18821)
-#30453 := (>= #30226 0::int)
-#30481 := (not #30453)
-#30707 := (= uf_298 ?x786!14)
-#30738 := (not #30707)
-#24451 := (or #23302 #13628)
-#24452 := [def-axiom]: #24451
-#30443 := [unit-resolution #24452 #30454]: #13628
-#24435 := (+ uf_296 #13490)
-#24436 := (<= #24435 0::int)
-#30445 := (or #12686 #24436)
-#30446 := [th-lemma]: #30445
-#30444 := [unit-resolution #30446 #30459]: #24436
-#24332 := (not #18836)
-#24333 := (or #22304 #24332)
-#24334 := [def-axiom]: #24333
-#30447 := [unit-resolution #24334 #30441]: #24332
-#30725 := (not #24436)
-#30726 := (or #30724 #18836 #30725 #13627)
-#30719 := [hypothesis]: #13628
-#30720 := [hypothesis]: #24436
-#30721 := [hypothesis]: #24332
-#30722 := [hypothesis]: #30714
-#30723 := [th-lemma #30722 #30721 #30720 #30719]: false
-#30727 := [lemma #30723]: #30726
-#30448 := [unit-resolution #30727 #30447 #30444 #30443]: #30724
-#30715 := (or #30713 #30714)
-#30716 := [th-lemma]: #30715
-#30449 := [unit-resolution #30716 #30448]: #30713
-#30739 := (or #30738 #30708)
-#30734 := (= #18513 #3197)
-#30732 := (= #18512 #3188)
-#30730 := (= ?x786!14 uf_298)
-#30729 := [hypothesis]: #30707
-#30731 := [symm #30729]: #30730
-#30733 := [monotonicity #30731]: #30732
-#30735 := [monotonicity #30733]: #30734
-#30736 := [symm #30735]: #30708
-#30728 := [hypothesis]: #30713
-#30737 := [unit-resolution #30728 #30736]: false
-#30740 := [lemma #30737]: #30739
-#30450 := [unit-resolution #30740 #30449]: #30738
-#30485 := (or #30707 #30481)
-#30224 := (<= #30226 0::int)
-#30262 := (+ uf_296 #18834)
-#30263 := (>= #30262 0::int)
-#30451 := (not #30263)
-#30452 := (or #30451 #18836 #30725)
-#30494 := [th-lemma]: #30452
-#30495 := [unit-resolution #30494 #30444 #30447]: #30451
-#30497 := (or #30224 #30263)
-#24327 := (or #22304 #18509)
-#24328 := [def-axiom]: #24327
-#30496 := [unit-resolution #24328 #30441]: #18509
-#24325 := (or #22304 #18508)
-#24326 := [def-axiom]: #24325
-#30491 := [unit-resolution #24326 #30441]: #18508
-#30279 := (or #23225 #22288 #22289 #30224 #30263)
-#30208 := (+ #18513 #13926)
-#30203 := (<= #30208 0::int)
-#30209 := (+ ?x786!14 #13457)
-#30210 := (>= #30209 0::int)
-#30212 := (or #22289 #30210 #30203 #22288)
-#30280 := (or #23225 #30212)
-#30287 := (iff #30280 #30279)
-#30274 := (or #22288 #22289 #30224 #30263)
-#30282 := (or #23225 #30274)
-#30285 := (iff #30282 #30279)
-#30286 := [rewrite]: #30285
-#30283 := (iff #30280 #30282)
-#30277 := (iff #30212 #30274)
-#30271 := (or #22289 #30224 #30263 #22288)
-#30275 := (iff #30271 #30274)
-#30276 := [rewrite]: #30275
-#30272 := (iff #30212 #30271)
-#30269 := (iff #30203 #30263)
-#30257 := (+ #13926 #18513)
-#30259 := (<= #30257 0::int)
-#30267 := (iff #30259 #30263)
-#30268 := [rewrite]: #30267
-#30260 := (iff #30203 #30259)
-#30258 := (= #30208 #30257)
-#30253 := [rewrite]: #30258
-#30261 := [monotonicity #30253]: #30260
-#30270 := [trans #30261 #30268]: #30269
-#30241 := (iff #30210 #30224)
-#30213 := (+ #13457 ?x786!14)
-#30223 := (>= #30213 0::int)
-#30227 := (iff #30223 #30224)
-#30228 := [rewrite]: #30227
-#30211 := (iff #30210 #30223)
-#30218 := (= #30209 #30213)
-#30219 := [rewrite]: #30218
-#30225 := [monotonicity #30219]: #30211
-#30242 := [trans #30225 #30228]: #30241
-#30273 := [monotonicity #30242 #30270]: #30272
-#30278 := [trans #30273 #30276]: #30277
-#30284 := [monotonicity #30278]: #30283
-#30288 := [trans #30284 #30286]: #30287
-#30281 := [quant-inst]: #30280
-#30289 := [mp #30281 #30288]: #30279
-#30498 := [unit-resolution #30289 #29550 #30491 #30496]: #30497
-#30499 := [unit-resolution #30498 #30495]: #30224
-#30500 := (not #30224)
-#30510 := (or #30707 #30500 #30481)
-#30484 := [th-lemma]: #30510
-#30480 := [unit-resolution #30484 #30499]: #30485
-#30486 := [unit-resolution #30480 #30450]: #30481
-#30487 := [th-lemma #30486 #30437 #30482]: false
-#30483 := [lemma #30487]: #23302
-#29652 := (or #23314 #23305 #23275)
-#29632 := [hypothesis]: #23272
-#29633 := [hypothesis]: #23317
-#24465 := (or #23314 #12378)
-#24466 := [def-axiom]: #24465
-#29636 := [unit-resolution #24466 #29633]: #12378
-#29637 := (or #23281 #18458 #23275)
-#24407 := (or #23281 #18449 #18458 #23275)
-#24408 := [def-axiom]: #24407
-#29638 := [unit-resolution #24408 #28483]: #29637
-#29639 := [unit-resolution #29638 #29636 #29632]: #23281
-#24413 := (or #23284 #23278)
-#24414 := [def-axiom]: #24413
-#29640 := [unit-resolution #24414 #29639]: #23284
-#29641 := [hypothesis]: #23302
-#24471 := (or #23314 #23308)
-#24472 := [def-axiom]: #24471
-#29642 := [unit-resolution #24472 #29633]: #23308
-#24461 := (or #23311 #23299 #23305)
-#24462 := [def-axiom]: #24461
-#29643 := [unit-resolution #24462 #29642 #29641]: #23299
-#24431 := (or #23296 #23290)
-#24432 := [def-axiom]: #24431
-#29644 := [unit-resolution #24432 #29643]: #23290
-#29649 := (or #23293 #23287)
-#29647 := (or #23293 #18452 #23287)
-#24423 := (or #23293 #18449 #18452 #23287)
-#24424 := [def-axiom]: #24423
-#29648 := [unit-resolution #24424 #28483]: #29647
-#29650 := [unit-resolution #29648 #29646]: #29649
-#29651 := [unit-resolution #29650 #29644 #29640]: false
-#29653 := [lemma #29651]: #29652
-#30805 := [unit-resolution #29653 #30483]: #30804
-#30806 := [unit-resolution #30805 #30803]: #23275
-#24389 := (or #23272 #12389)
-#24390 := [def-axiom]: #24389
-#30807 := [unit-resolution #24390 #30806]: #12389
-#24387 := (or #23272 #12384)
-#24388 := [def-axiom]: #24387
-#30808 := [unit-resolution #24388 #30806]: #12384
-#30809 := [trans #30808 #30807]: #30365
-#30810 := (not #30365)
-#30811 := (or #30810 #30319)
-#30812 := [th-lemma]: #30811
-#30813 := [unit-resolution #30812 #30809]: #30319
-#24397 := (or #23272 #23266)
-#24398 := [def-axiom]: #24397
-#30814 := [unit-resolution #24398 #30806]: #23266
-#30815 := [unit-resolution #30431 #30814]: #23263
-#30816 := [unit-resolution #24368 #30815]: #23254
-#30817 := [unit-resolution #24364 #30815]: #13538
-#30818 := [unit-resolution #30436 #30817]: #24312
-#30819 := [unit-resolution #30128 #30818]: #13470
-#30820 := [unit-resolution #24354 #30819 #30816]: #23251
-#30821 := [unit-resolution #24346 #30820]: #23242
-#30830 := (= #3197 #3227)
-#30826 := (= #3227 #3197)
-#30824 := (= #3226 #3188)
-#24391 := (or #23272 #12392)
-#24392 := [def-axiom]: #24391
-#30822 := [unit-resolution #24392 #30806]: #12392
-#30823 := [symm #30822]: #3207
-#30825 := [monotonicity #30823]: #30824
-#30827 := [monotonicity #30825]: #30826
-#30831 := [symm #30827]: #30830
-#30832 := (= uf_304 #3197)
-#30829 := [symm #30808]: #3200
-#30828 := [symm #30807]: #3205
-#30833 := [trans #30828 #30829]: #30832
-#30834 := [trans #30833 #30831]: #12428
-#30114 := (+ uf_298 #13512)
-#30060 := (>= #30114 0::int)
-#30835 := (or #12539 #30060)
-#30836 := [th-lemma]: #30835
-#30837 := [unit-resolution #30836 #30822]: #30060
-#30838 := (not #30060)
-#30839 := (or #13515 #30838 #13721)
-#30840 := [th-lemma]: #30839
-#30841 := [unit-resolution #30840 #29588 #30837]: #13515
-#30842 := [unit-resolution #24318 #30841 #30834]: #22257
-#30843 := [unit-resolution #24320 #30842]: #23236
-#30844 := [unit-resolution #24342 #30843 #30821]: #22309
-#30845 := [unit-resolution #24334 #30844]: #24332
-#30846 := (not #30319)
-#30847 := (or #30724 #18836 #30846)
-#30848 := [th-lemma]: #30847
-#30849 := [unit-resolution #30848 #30845 #30813]: #30724
-#30850 := [unit-resolution #30716 #30849]: #30713
-#30851 := [unit-resolution #24331 #30844]: #24329
-#30852 := (or #30453 #18823 #30126)
-#30853 := [th-lemma]: #30852
-#30854 := [unit-resolution #30853 #30851 #30818]: #30453
-#30855 := [unit-resolution #24472 #30803]: #23308
-#30856 := (or #23311 #23299)
-#30857 := [unit-resolution #24462 #30483]: #30856
-#30858 := [unit-resolution #30857 #30855]: #23299
-#24429 := (or #23296 #13627)
-#24430 := [def-axiom]: #24429
-#30859 := [unit-resolution #24430 #30858]: #13627
-#30860 := (or #24436 #30846 #13628)
-#30861 := [th-lemma]: #30860
-#30862 := [unit-resolution #30861 #30859 #30813]: #24436
-#30863 := [unit-resolution #30494 #30845 #30862]: #30451
-#30864 := [unit-resolution #24328 #30844]: #18509
-#30865 := [unit-resolution #24326 #30844]: #18508
-#30866 := [unit-resolution #30289 #29550 #30865 #30864 #30863]: #30224
-#30867 := [unit-resolution #30484 #30866 #30854]: #30707
-[unit-resolution #30740 #30867 #30850]: false
+#11811 := [asserted]: #2933
+#29875 := (= #26315 #2932)
+#29943 := [monotonicity #27656]: #29875
+#29944 := [trans #29943 #11811]: #28559
+#29945 := (not #28559)
+#29946 := (or #29945 #28718)
+#29947 := [th-lemma]: #29946
+#29948 := [unit-resolution #29947 #29944]: #28718
+#28736 := (<= #26315 1::int)
+#29949 := (or #29945 #28736)
+#29950 := [th-lemma]: #29949
+#29951 := [unit-resolution #29950 #29944]: #28736
+#28558 := (* -1::int #26317)
+#28545 := (+ #24010 #28558)
+#28694 := (>= #28545 0::int)
+#28692 := (= #24010 #26317)
+#29952 := [trans #27881 #27713]: #28692
+#29953 := (not #28692)
+#29954 := (or #29953 #28694)
+#29955 := [th-lemma]: #29954
+#29956 := [unit-resolution #29955 #29952]: #28694
+#29962 := (not #28548)
+#29961 := (not #28082)
+#29960 := (not #29277)
+#29958 := (not #28736)
+#29957 := (not #28718)
+#29959 := (not #28694)
+#29963 := (or #29871 #29957 #29958 #29959 #29957 #29958 #29960 #29961 #29962)
+#29964 := [th-lemma]: #29963
+#29965 := [unit-resolution #29964 #28879 #29956 #29951 #29948 #29935 #29444]: #29871
+#29872 := (>= #29870 0::int)
+#29285 := (>= #29276 0::int)
+#29969 := (or #29861 #29285)
+#29970 := [th-lemma]: #29969
+#29971 := [unit-resolution #29970 #29860]: #29285
+#28693 := (<= #28545 0::int)
+#29975 := (or #29953 #28693)
+#29976 := [th-lemma]: #29975
+#29977 := [unit-resolution #29976 #29952]: #28693
+#29979 := (not #29285)
+#29978 := (not #28693)
+#29982 := (or #29872 #29957 #29958 #29978 #29957 #29958 #29979 #29980 #29981)
+#29983 := [th-lemma]: #29982
+#29984 := [unit-resolution #29983 #29977 #29974 #29951 #29948 #29971 #29968]: #29872
+#29986 := (not #29872)
+#29985 := (not #29871)
+#29987 := (or #29868 #29985 #29986)
+#29988 := [th-lemma]: #29987
+#29989 := [unit-resolution #29988 #29984 #29965]: #29868
+#29577 := [symm #29989]: #29899
+#29571 := [trans #29577 #29897]: #29903
+#29578 := [trans #29571 #29902]: #29905
+#29562 := [monotonicity #29578]: #29911
+#29915 := (= #27485 #29007)
+#28990 := (uf_66 #25399 #27482 #24108)
+#29010 := (= #28990 #29007)
+#29013 := (not #29010)
+#28991 := (uf_138 #28990 #25399)
+#28992 := (= uf_9 #28991)
+#28993 := (not #28992)
+#29019 := (or #28993 #29013)
+#29024 := (not #29019)
+#29041 := (or #26353 #29024)
+#28994 := (* #27482 #26315)
+#28995 := (+ #26574 #28994)
+#28996 := (uf_43 #24108 #28995)
+#28997 := (= #28990 #28996)
+#28998 := (not #28997)
+#28999 := (or #28998 #28993)
+#29000 := (not #28999)
+#29040 := (or #26353 #29000)
+#29039 := (iff #29040 #29041)
+#29056 := (iff #29041 #29041)
+#29073 := [rewrite]: #29056
+#29025 := (iff #29000 #29024)
+#29022 := (iff #28999 #29019)
+#29016 := (or #29013 #28993)
+#29020 := (iff #29016 #29019)
+#29021 := [rewrite]: #29020
+#29017 := (iff #28999 #29016)
+#29014 := (iff #28998 #29013)
+#29011 := (iff #28997 #29010)
+#29008 := (= #28996 #29007)
+#29005 := (= #28995 #29004)
+#29002 := (= #28994 #29001)
+#29003 := [rewrite]: #29002
+#29006 := [monotonicity #29003]: #29005
+#29009 := [monotonicity #29006]: #29008
+#29012 := [monotonicity #29009]: #29011
+#29015 := [monotonicity #29012]: #29014
+#29018 := [monotonicity #29015]: #29017
+#29023 := [trans #29018 #29021]: #29022
+#29026 := [monotonicity #29023]: #29025
+#29072 := [monotonicity #29026]: #29039
+#29107 := [trans #29072 #29073]: #29039
+#29071 := [quant-inst]: #29040
+#29108 := [mp #29071 #29107]: #29041
+#29907 := [unit-resolution #29108 #20322]: #29024
+#29209 := (or #29019 #29010)
+#29207 := [def-axiom]: #29209
+#29908 := [unit-resolution #29207 #29907]: #29010
+#29909 := (= #27485 #28990)
+#29910 := [monotonicity #27889]: #29909
+#29916 := [trans #29910 #29908]: #29915
+#29561 := [trans #29916 #29562]: #29917
+#29502 := [trans #29561 #29914]: #29919
+#29563 := [monotonicity #29502]: #29921
+#29555 := [symm #29563]: #29923
+#29392 := [monotonicity #29555]: #29925
+#29556 := [trans #29392 #29928]: #29929
+#29557 := [trans #29556 #27863]: #29931
+#29559 := [monotonicity #29557]: #29558
+#29568 := [symm #29559]: #29567
+#29565 := [trans #13530 #29568]: #28582
+#29532 := (not #28582)
+#29533 := (or #28638 #29532)
+#29534 := [def-axiom]: #29533
+#29569 := [unit-resolution #29534 #29565]: #28638
+#29695 := (= #24648 #28596)
+#29691 := (= #28596 #24648)
+#29574 := (= #27351 uf_7)
+#29573 := (= #27351 #24108)
+#28379 := (or #27225 #27411 #27352)
+#28382 := [def-axiom]: #28379
+#29572 := [unit-resolution #28382 #29878 #27636]: #27352
+#29566 := [symm #29572]: #29573
+#29575 := [trans #29566 #27656]: #29574
+#29692 := [monotonicity #29575]: #29691
+#29696 := [symm #29692]: #29695
+#29582 := [trans #27842 #29696]: #28614
+#29507 := (not #28587)
+#29688 := (iff #11876 #29507)
+#29586 := (iff #11873 #28587)
+#28726 := (iff #28587 #11873)
+#29579 := (= #28586 #2990)
+#29592 := (= #28585 #2977)
+#29583 := (= #28585 #24228)
+#29581 := [monotonicity #29557]: #29583
+#29593 := [trans #29581 #27921]: #29592
+#29584 := [monotonicity #29593]: #29579
+#29585 := [monotonicity #29584]: #28726
+#29687 := [symm #29585]: #29586
+#29689 := [monotonicity #29687]: #29688
+#29690 := [mp #13533 #29689]: #29507
+#29698 := (iff #29038 #28593)
+#29699 := (iff #27558 #28592)
+#29686 := (iff #28592 #27558)
+#29677 := (= #28591 #27557)
+#29676 := (= #27095 #27556)
+#29673 := (= #27556 #27095)
+#29675 := [monotonicity #29712]: #29673
+#29674 := [symm #29675]: #29676
+#29684 := [monotonicity #29674]: #29677
+#29697 := [monotonicity #29684]: #29686
+#29700 := [symm #29697]: #29699
+#29685 := [monotonicity #29700]: #29698
+#29706 := [hypothesis]: #29038
+#29701 := [mp #29706 #29685]: #28593
+#29506 := (or #28632 #28592)
+#29471 := [def-axiom]: #29506
+#29702 := [unit-resolution #29471 #29701]: #28632
+#29554 := (or #28652 #28587 #28629 #28635 #28641)
+#29541 := [def-axiom]: #29554
+#29703 := [unit-resolution #29541 #29702 #29690 #29582 #29569 #29570]: false
+#29705 := [lemma #29703]: #29704
+#29110 := [unit-resolution #29705 #28973 #29837 #29570]: false
+#28980 := [lemma #29110]: #28981
+#30221 := [unit-resolution #28980 #29510]: #28652
+#28160 := (or #28655 #28647)
+#28159 := [def-axiom]: #28160
+#30222 := [unit-resolution #28159 #30221]: #28655
+#29319 := (or #28664 #28658)
+#29325 := (or #12349 #12967)
+#23835 := (or #22641 #12913)
+#23836 := [def-axiom]: #23835
+#29317 := [unit-resolution #23836 #28122]: #12913
+#29318 := (or #12349 #21575 #12967)
+#27702 := (or #12349 #21575 #26481 #12967)
+#27645 := [hypothesis]: #12913
+#27641 := (<= #27640 0::int)
+#27483 := (= uf_298 #27482)
+#27486 := (or #26376 #27483)
+#27487 := [quant-inst]: #27486
+#27646 := [unit-resolution #27487 #16290]: #27483
+#27649 := (not #27483)
+#27650 := (or #27649 #27641)
+#27651 := [th-lemma]: #27650
+#27652 := [unit-resolution #27651 #27646]: #27641
+#27672 := (iff #17724 #27561)
+#27670 := (iff #12349 #27560)
+#27668 := (iff #27560 #12349)
+#27666 := (= #27559 #3223)
+#27658 := [symm #27646]: #27657
+#27665 := [monotonicity #27663 #27658 #27656]: #27664
+#27667 := [monotonicity #27665]: #27666
+#27669 := [monotonicity #27667]: #27668
+#27671 := [symm #27669]: #27670
+#27673 := [monotonicity #27671]: #27672
+#27653 := [hypothesis]: #17724
+#27674 := [mp #27653 #27673]: #27561
+#27593 := (or #27565 #27560)
+#27594 := [def-axiom]: #27593
+#27675 := [unit-resolution #27594 #27674]: #27565
+#27681 := [hypothesis]: #12968
+#27682 := (or #27649 #27642)
+#27683 := [th-lemma]: #27682
+#27684 := [unit-resolution #27683 #27646]: #27642
+#27690 := [unit-resolution #27689 #27684 #27681 #27680]: #27685
+#27698 := (or #27504 #27514 #27568)
+#27699 := [unit-resolution #27589 #20766 #13537 #27697 #27696]: #27698
+#27700 := [unit-resolution #27699 #27690 #27675]: #27504
+#27701 := [th-lemma #27700 #27652 #27645]: false
+#27703 := [lemma #27701]: #27702
+#29322 := [unit-resolution #27703 #28088]: #29318
+#29326 := [unit-resolution #29322 #29317]: #29325
+#29327 := [unit-resolution #29326 #28538]: #12349
+#28201 := (or #28664 #17724 #28658)
+#28206 := [def-axiom]: #28201
+#29320 := [unit-resolution #28206 #29327]: #29319
+#30225 := [unit-resolution #29320 #30222]: #28664
+#29321 := (or #12355 #28661)
+#28667 := (iff #12355 #28664)
+#29514 := (not #28667)
+#29693 := [hypothesis]: #29514
+#29473 := (or #27590 #28667)
+#28583 := (or #28582 #28580)
+#28584 := (not #28583)
+#28594 := (or #28593 #28590)
+#28595 := (not #28594)
+#28597 := (= #28596 uf_14)
+#28598 := (not #28597)
+#28599 := (or #28598 #28595 #28587 #28584)
+#28600 := (not #28599)
+#28605 := (or #28604 #28602)
+#28606 := (not #28605)
+#28607 := (or #28597 #28606)
+#28608 := (not #28607)
+#28609 := (or #28608 #28600)
+#28610 := (not #28609)
+#28611 := (or #17724 #28610)
+#28612 := (not #28611)
+#28613 := (iff #12355 #28612)
+#29474 := (or #27590 #28613)
+#29531 := (iff #29474 #29473)
+#29536 := (iff #29473 #29473)
+#29509 := [rewrite]: #29536
+#28668 := (iff #28613 #28667)
+#28665 := (iff #28612 #28664)
+#28662 := (iff #28611 #28661)
+#28659 := (iff #28610 #28658)
+#28656 := (iff #28609 #28655)
+#28653 := (iff #28600 #28652)
+#28650 := (iff #28599 #28647)
+#28644 := (or #28629 #28635 #28587 #28641)
+#28648 := (iff #28644 #28647)
+#28649 := [rewrite]: #28648
+#28645 := (iff #28599 #28644)
+#28642 := (iff #28584 #28641)
+#28639 := (iff #28583 #28638)
+#28640 := [rewrite]: #28639
+#28643 := [monotonicity #28640]: #28642
+#28636 := (iff #28595 #28635)
+#28633 := (iff #28594 #28632)
+#28634 := [rewrite]: #28633
+#28637 := [monotonicity #28634]: #28636
+#28630 := (iff #28598 #28629)
+#28615 := (iff #28597 #28614)
+#28616 := [rewrite]: #28615
+#28631 := [monotonicity #28616]: #28630
+#28646 := [monotonicity #28631 #28637 #28643]: #28645
+#28651 := [trans #28646 #28649]: #28650
+#28654 := [monotonicity #28651]: #28653
+#28627 := (iff #28608 #28626)
+#28624 := (iff #28607 #28623)
+#28621 := (iff #28606 #28620)
+#28618 := (iff #28605 #28617)
+#28619 := [rewrite]: #28618
+#28622 := [monotonicity #28619]: #28621
+#28625 := [monotonicity #28616 #28622]: #28624
+#28628 := [monotonicity #28625]: #28627
+#28657 := [monotonicity #28628 #28654]: #28656
+#28660 := [monotonicity #28657]: #28659
+#28663 := [monotonicity #28660]: #28662
+#28666 := [monotonicity #28663]: #28665
+#28669 := [monotonicity #28666]: #28668
+#29535 := [monotonicity #28669]: #29531
+#29520 := [trans #29535 #29509]: #29531
+#29472 := [quant-inst]: #29474
+#29508 := [mp #29472 #29520]: #29473
+#29694 := [unit-resolution #29508 #21176 #29693]: false
+#29580 := [lemma #29694]: #28667
+#28208 := (or #29514 #12355 #28661)
+#28211 := [def-axiom]: #28208
+#29345 := [unit-resolution #28211 #29580]: #29321
+#30226 := [unit-resolution #29345 #30225]: #12355
+#29853 := (or #17730 #22574)
+#23760 := (or #22595 #22589)
+#23761 := [def-axiom]: #23760
+#29386 := [unit-resolution #23761 #28988]: #22589
+#29389 := (or #22592 #17724 #22586)
+#23752 := (or #22592 #17721 #17724 #22586)
+#23753 := [def-axiom]: #23752
+#29181 := [unit-resolution #23753 #27738]: #29389
+#29213 := [unit-resolution #29181 #29386 #29327]: #22586
+#23742 := (or #22583 #22577)
+#23743 := [def-axiom]: #23742
+#29850 := [unit-resolution #23743 #29213]: #22577
+#29851 := (or #22580 #17730 #22574)
+#23736 := (or #22580 #17721 #17730 #22574)
+#23737 := [def-axiom]: #23736
+#29852 := [unit-resolution #23737 #27738]: #29851
+#29854 := [unit-resolution #29852 #29850]: #29853
+#30229 := [unit-resolution #29854 #30226]: #22574
+#30232 := (or #22571 #22532)
+#28690 := [unit-resolution #29740 #20106 #28525 #27869 #29448]: #27522
+#28541 := [unit-resolution #29773 #28690]: #27495
+#29313 := [unit-resolution #29705 #28973 #28541]: #28652
+#29314 := [unit-resolution #28159 #29313]: #28655
+#29323 := [unit-resolution #29320 #29314]: #28664
+#29346 := [unit-resolution #29345 #29323]: #12355
+#29264 := [unit-resolution #29854 #29346]: #22574
+#29855 := [hypothesis]: #22526
+#23652 := (or #22529 #22523)
+#23653 := [def-axiom]: #23652
+#29856 := [unit-resolution #23653 #29855]: #22529
+#23708 := (or #22559 #22523)
+#23709 := [def-axiom]: #23708
+#29857 := [unit-resolution #23709 #29855]: #22559
+#29858 := (or #22571 #22562 #22532)
+#28575 := (or #22571 #17724 #22562 #22532)
+#28560 := [hypothesis]: #12349
+#28561 := [hypothesis]: #22529
+#28562 := [hypothesis]: #22574
+#23720 := (or #22571 #12355)
+#23721 := [def-axiom]: #23720
+#28563 := [unit-resolution #23721 #28562]: #12355
+#28564 := (or #22538 #17730 #22532)
+#23662 := (or #22538 #17721 #17730 #22532)
+#23663 := [def-axiom]: #23662
+#28565 := [unit-resolution #23663 #27738]: #28564
+#28566 := [unit-resolution #28565 #28563 #28561]: #22538
+#23668 := (or #22541 #22535)
+#23669 := [def-axiom]: #23668
+#28567 := [unit-resolution #23669 #28566]: #22541
+#28568 := [hypothesis]: #22559
+#23726 := (or #22571 #22565)
+#23727 := [def-axiom]: #23726
+#28569 := [unit-resolution #23727 #28562]: #22565
+#23716 := (or #22568 #22556 #22562)
+#23717 := [def-axiom]: #23716
+#28570 := [unit-resolution #23717 #28569 #28568]: #22556
+#23686 := (or #22553 #22547)
+#23687 := [def-axiom]: #23686
+#28571 := [unit-resolution #23687 #28570]: #22547
+#28572 := (or #22550 #17724 #22544)
+#23678 := (or #22550 #17721 #17724 #22544)
+#23679 := [def-axiom]: #23678
+#28573 := [unit-resolution #23679 #27738]: #28572
+#28574 := [unit-resolution #28573 #28571 #28567 #28560]: false
+#28576 := [lemma #28574]: #28575
+#29859 := [unit-resolution #28576 #29327]: #29858
+#29993 := [unit-resolution #29859 #29857 #29856 #29264]: false
+#29994 := [lemma #29993]: #22523
+#30143 := (or #22526 #22520)
+#28967 := (or #15127 #12967)
+#14990 := (<= uf_286 4294967295::int)
+#14993 := (iff #12726 #14990)
+#14984 := (+ 4294967295::int #12727)
+#14987 := (>= #14984 0::int)
+#14991 := (iff #14987 #14990)
+#14992 := [rewrite]: #14991
+#14988 := (iff #12726 #14987)
+#14985 := (= #12728 #14984)
+#14986 := [monotonicity #7481]: #14985
+#14989 := [monotonicity #14986]: #14988
+#14994 := [trans #14989 #14992]: #14993
+#13540 := [and-elim #13524]: #12726
+#14995 := [mp #13540 #14994]: #14990
+#28956 := [hypothesis]: #17745
+#28957 := [th-lemma #27681 #28956 #14995]: false
+#28968 := [lemma #28957]: #28967
+#30138 := [unit-resolution #28968 #28538]: #15127
+#30141 := (or #22526 #17745 #22520)
+#30136 := (or #21575 #13051)
+#30139 := [th-lemma]: #30136
+#30140 := [unit-resolution #30139 #29317]: #13051
+#23632 := (or #22526 #17742 #17745 #22520)
+#23633 := [def-axiom]: #23632
+#30142 := [unit-resolution #23633 #30140]: #30141
+#30144 := [unit-resolution #30142 #30138]: #30143
+#30150 := [unit-resolution #30144 #29994]: #22520
+#23622 := (or #22517 #22511)
+#23623 := [def-axiom]: #23622
+#30127 := [unit-resolution #23623 #30150]: #22511
+#23568 := (>= #13063 -1::int)
+#23618 := (or #22517 #13061)
+#23619 := [def-axiom]: #23618
+#30124 := [unit-resolution #23619 #30150]: #13061
+#30129 := (or #21556 #23568)
+#30128 := [th-lemma]: #30129
+#30130 := [unit-resolution #30128 #30124]: #23568
+#29095 := (not #23568)
+#30131 := (or #13089 #29095)
+#29096 := (or #13089 #12967 #29095)
+#29081 := [hypothesis]: #23568
+#29082 := [hypothesis]: #13093
+#29094 := [th-lemma #29082 #27681 #29081]: false
+#29097 := [lemma #29094]: #29096
+#30132 := [unit-resolution #29097 #28538]: #30131
+#30133 := [unit-resolution #30132 #30130]: #13089
+#23608 := (or #22514 #13093 #22508)
+#23609 := [def-axiom]: #23608
+#30134 := [unit-resolution #23609 #30133 #30127]: #22508
+#23600 := (or #22505 #22499)
+#23601 := [def-axiom]: #23600
+#30135 := [unit-resolution #23601 #30134]: #22499
+#23693 := (+ uf_297 #13126)
+#23695 := (>= #23693 0::int)
+#30148 := [hypothesis]: #22562
+#23698 := (or #22559 #12524)
+#23699 := [def-axiom]: #23698
+#30154 := [unit-resolution #23699 #30148]: #12524
+#30155 := (or #21614 #23695)
+#30153 := [th-lemma]: #30155
+#30156 := [unit-resolution #30153 #30154]: #23695
+#30164 := (not #23695)
+#30174 := (or #13129 #30164)
+#30165 := (or #13129 #13358 #30164)
+#30173 := [th-lemma]: #30165
+#30146 := [unit-resolution #30173 #28859]: #30174
+#30163 := [unit-resolution #30146 #30156]: #13129
+#30161 := (= #3101 #3272)
+#30159 := (= #3272 #3101)
+#30157 := (= #3271 #3100)
+#30149 := (= #28166 uf_297)
+#30166 := [symm #29826]: #30149
+#30147 := [trans #28479 #30166]: #27364
+#30152 := [monotonicity #30147]: #27366
+#30172 := (= #3271 #27249)
+#30170 := (= uf_305 #26870)
+#30168 := (= uf_305 #28166)
+#30167 := [symm #30154]: #3288
+#30169 := [trans #30167 #29826]: #30168
+#30171 := [trans #30169 #28499]: #30170
+#30180 := [monotonicity #30171]: #30172
+#30151 := [trans #30180 #30152]: #30157
+#30160 := [monotonicity #30151]: #30159
+#30162 := [symm #30160]: #30161
+#30194 := (= uf_304 #3101)
+#23696 := (or #22559 #12521)
+#23697 := [def-axiom]: #23696
+#30145 := [unit-resolution #23697 #30148]: #12521
+#30158 := [symm #30145]: #3287
+#30195 := [trans #30158 #28875]: #30194
+#30190 := [trans #30195 #30162]: #12446
+#23573 := (or #21468 #21466 #13128)
+#23574 := [def-axiom]: #23573
+#30196 := [unit-resolution #23574 #30190 #30163]: #21468
+#23575 := (or #22493 #21467)
+#23576 := [def-axiom]: #23575
+#30197 := [unit-resolution #23576 #30196]: #22493
+#23596 := (or #22502 #22496 #21531)
+#23597 := [def-axiom]: #23596
+#30176 := [unit-resolution #23597 #30197 #30135]: #21531
+#23588 := (or #21526 #18027)
+#23589 := [def-axiom]: #23588
+#30178 := [unit-resolution #23589 #30176]: #18027
+#29153 := (+ uf_298 #18020)
+#30137 := (>= #29153 0::int)
+#30208 := (not #30137)
+#30288 := (not #30181)
+#30175 := (= #3230 #17765)
+#30256 := (not #30175)
+#30251 := (+ #3230 #18007)
+#30253 := (>= #30251 0::int)
+#30263 := (not #30253)
+#23704 := (or #22559 #12997)
+#23705 := [def-axiom]: #23704
+#30179 := [unit-resolution #23705 #30148]: #12997
+#23690 := (+ uf_296 #13112)
+#23691 := (<= #23690 0::int)
+#30199 := (or #21613 #23691)
+#30200 := [th-lemma]: #30199
+#30182 := [unit-resolution #30200 #30145]: #23691
+#23585 := (not #18009)
+#23586 := (or #21526 #23585)
+#23587 := [def-axiom]: #23586
+#30183 := [unit-resolution #23587 #30176]: #23585
+#30264 := (not #23691)
+#30265 := (or #30263 #18009 #30264 #12996)
+#30258 := [hypothesis]: #12997
+#30259 := [hypothesis]: #23691
+#30260 := [hypothesis]: #23585
+#30261 := [hypothesis]: #30253
+#30262 := [th-lemma #30261 #30260 #30259 #30258]: false
+#30266 := [lemma #30262]: #30265
+#30184 := [unit-resolution #30266 #30183 #30182 #30179]: #30263
+#30257 := (or #30256 #30253)
+#30267 := [th-lemma]: #30257
+#30185 := [unit-resolution #30267 #30184]: #30256
+#30289 := (or #30288 #30175)
+#30284 := (= #17765 #3230)
+#30282 := (= #17764 #3220)
+#30280 := (= #17764 #27555)
+#30276 := (= ?x785!14 #27482)
+#30274 := (= ?x785!14 #28213)
+#30272 := (= ?x785!14 uf_298)
+#30271 := [hypothesis]: #30181
+#30273 := [symm #30271]: #30272
+#30275 := [trans #30273 #28873]: #30274
+#30277 := [trans #30275 #29458]: #30276
+#30278 := (= #2979 #26469)
+#30279 := [symm #27663]: #30278
+#30281 := [monotonicity #30279 #30277 #27654]: #30280
+#30283 := [trans #30281 #29712]: #30282
+#30285 := [monotonicity #30283]: #30284
+#30286 := [symm #30285]: #30175
+#30250 := [hypothesis]: #30256
+#30287 := [unit-resolution #30250 #30286]: false
+#30290 := [lemma #30287]: #30289
+#30186 := [unit-resolution #30290 #30185]: #30288
+#30213 := (or #30181 #30208)
+#29154 := (<= #29153 0::int)
+#29165 := (+ uf_296 #18007)
+#29166 := (>= #29165 0::int)
+#30187 := (not #29166)
+#30177 := (or #30187 #18009 #30264)
+#30207 := [th-lemma]: #30177
+#30189 := [unit-resolution #30207 #30183 #30182]: #30187
+#23583 := (or #21526 #17761)
+#23584 := [def-axiom]: #23583
+#30191 := [unit-resolution #23584 #30176]: #17761
+#23581 := (or #21526 #17757)
+#23582 := [def-axiom]: #23581
+#30192 := [unit-resolution #23582 #30176]: #17757
+#30050 := (or #22482 #21510 #21511 #29154 #29166)
+#29142 := (+ #17765 #13378)
+#29143 := (<= #29142 0::int)
+#29144 := (+ ?x785!14 #12965)
+#29145 := (>= #29144 0::int)
+#29146 := (or #21511 #29145 #29143 #21510)
+#30051 := (or #22482 #29146)
+#30058 := (iff #30051 #30050)
+#29174 := (or #21510 #21511 #29154 #29166)
+#30053 := (or #22482 #29174)
+#30056 := (iff #30053 #30050)
+#30057 := [rewrite]: #30056
+#30054 := (iff #30051 #30053)
+#29177 := (iff #29146 #29174)
+#29171 := (or #21511 #29154 #29166 #21510)
+#29175 := (iff #29171 #29174)
+#29176 := [rewrite]: #29175
+#29172 := (iff #29146 #29171)
+#29169 := (iff #29143 #29166)
+#29159 := (+ #13378 #17765)
+#29162 := (<= #29159 0::int)
+#29167 := (iff #29162 #29166)
+#29168 := [rewrite]: #29167
+#29163 := (iff #29143 #29162)
+#29160 := (= #29142 #29159)
+#29161 := [rewrite]: #29160
+#29164 := [monotonicity #29161]: #29163
+#29170 := [trans #29164 #29168]: #29169
+#29157 := (iff #29145 #29154)
+#29147 := (+ #12965 ?x785!14)
+#29150 := (>= #29147 0::int)
+#29155 := (iff #29150 #29154)
+#29156 := [rewrite]: #29155
+#29151 := (iff #29145 #29150)
+#29148 := (= #29144 #29147)
+#29149 := [rewrite]: #29148
+#29152 := [monotonicity #29149]: #29151
+#29158 := [trans #29152 #29156]: #29157
+#29173 := [monotonicity #29158 #29170]: #29172
+#29178 := [trans #29173 #29176]: #29177
+#30055 := [monotonicity #29178]: #30054
+#30059 := [trans #30055 #30057]: #30058
+#30052 := [quant-inst]: #30051
+#30060 := [mp #30052 #30059]: #30050
+#30193 := [unit-resolution #30060 #28540 #30192 #30191 #30189]: #29154
+#30210 := (not #29154)
+#30211 := (or #30181 #30210 #30208)
+#30212 := [th-lemma]: #30211
+#30214 := [unit-resolution #30212 #30193]: #30213
+#30215 := [unit-resolution #30214 #30186]: #30208
+#30216 := [th-lemma #30130 #30215 #30178]: false
+#30219 := [lemma #30216]: #22559
+#30241 := [unit-resolution #29859 #30219]: #30232
+#30236 := [unit-resolution #30241 #30229]: #22532
+#23646 := (or #22529 #12383)
+#23647 := [def-axiom]: #23646
+#30293 := [unit-resolution #23647 #30236]: #12383
+#28986 := [symm #30293]: #3242
+#29080 := [trans #28986 #28873]: #28951
+#29269 := [trans #29080 #29458]: #29074
+#29334 := [monotonicity #30279 #29269 #27654]: #29208
+#29357 := [trans #29334 #29712]: #29112
+#29125 := [monotonicity #29357]: #28979
+#28987 := [symm #29125]: #28730
+#29079 := (= uf_304 #3230)
+#23642 := (or #22529 #12375)
+#23643 := [def-axiom]: #23642
+#28983 := [unit-resolution #23643 #30236]: #12375
+#29211 := [symm #28983]: #3235
+#23644 := (or #22529 #12380)
+#23645 := [def-axiom]: #23644
+#29034 := [unit-resolution #23645 #30236]: #12380
+#28946 := [symm #29034]: #3240
+#28982 := [trans #28946 #29211]: #29079
+#29212 := [trans #28982 #28987]: #12446
+#28731 := [hypothesis]: #21466
+#29304 := [unit-resolution #28731 #29212]: false
+#28976 := [lemma #29304]: #12446
+#30304 := (or #21466 #21468)
+#28528 := (+ uf_298 #13126)
+#28529 := (>= #28528 0::int)
+#30294 := (or #21574 #28529)
+#30295 := [th-lemma]: #30294
+#30296 := [unit-resolution #30295 #30293]: #28529
+#30297 := [hypothesis]: #21467
+#30298 := [hypothesis]: #12446
+#30299 := [unit-resolution #23574 #30298 #30297]: #13128
+#30300 := (not #28529)
+#30301 := (or #13129 #12967 #30300)
+#30302 := [th-lemma]: #30301
+#30303 := [unit-resolution #30302 #30299 #30296 #28538]: false
+#30305 := [lemma #30303]: #30304
+#29076 := [unit-resolution #30305 #28976]: #21468
+#29124 := [unit-resolution #23576 #29076]: #22493
+#28962 := [unit-resolution #23597 #30135]: #22499
+#29358 := [unit-resolution #28962 #29124]: #21531
+#23692 := (>= #23690 0::int)
+#30027 := (not #23692)
+#29111 := [unit-resolution #23727 #30229]: #22565
+#29289 := (or #22568 #22556)
+#29333 := [unit-resolution #23717 #30219]: #29289
+#29311 := [unit-resolution #29333 #29111]: #22556
+#23684 := (or #22553 #12996)
+#23685 := [def-axiom]: #23684
+#29113 := [unit-resolution #23685 #29311]: #12996
+#29780 := (+ #3230 #13112)
+#29809 := (<= #29780 0::int)
+#29719 := (= #3230 uf_304)
+#29564 := (or #22529 #29719)
+#29576 := [hypothesis]: #22532
+#29720 := [unit-resolution #23645 #29576]: #12380
+#29761 := [unit-resolution #23643 #29576]: #12375
+#29723 := [trans #29761 #29720]: #29719
+#30001 := (not #29719)
+#29829 := [hypothesis]: #30001
+#29786 := [unit-resolution #29829 #29723]: false
+#29787 := [lemma #29786]: #29564
+#30237 := [unit-resolution #29787 #30236]: #29719
+#30002 := (or #30001 #29809)
+#30003 := [th-lemma]: #30002
+#30238 := [unit-resolution #30003 #30237]: #29809
+#30026 := (not #29809)
+#30028 := (or #30026 #30027 #12997)
+#30023 := [hypothesis]: #29809
+#30024 := [hypothesis]: #12996
+#30025 := [hypothesis]: #23692
+#30020 := [th-lemma #30025 #30024 #30023]: false
+#30029 := [lemma #30020]: #30028
+#29339 := [unit-resolution #30029 #30238 #29113]: #30027
+#29268 := (or #23692 #23691)
+#29308 := [th-lemma]: #29268
+#29306 := [unit-resolution #29308 #29339]: #23691
+#29309 := [unit-resolution #23587 #29358]: #23585
+#29290 := [unit-resolution #30207 #29309 #29306]: #30187
+#30126 := (or #21526 #29166 #30181)
+#30089 := [hypothesis]: #30288
+#30114 := [hypothesis]: #21531
+#30115 := [unit-resolution #23589 #30114]: #18027
+#30110 := (or #30137 #18022 #29095)
+#30116 := [th-lemma]: #30110
+#30117 := [unit-resolution #30116 #30115 #30130]: #30137
+#30113 := [unit-resolution #30212 #30117 #30089]: #30210
+#30118 := [hypothesis]: #30187
+#30119 := [unit-resolution #23584 #30114]: #17761
+#30120 := [unit-resolution #23582 #30114]: #17757
+#30125 := [unit-resolution #30060 #28540 #30120 #30119 #30118 #30113]: false
+#30076 := [lemma #30125]: #30126
+#29305 := [unit-resolution #30076 #29290 #29358]: #30181
+#30233 := (or #30263 #18009)
+#30239 := [th-lemma #30261 #30260 #30238]: false
+#30234 := [lemma #30239]: #30233
+#28425 := [unit-resolution #30234 #29309]: #30263
+#29077 := [unit-resolution #30267 #28425]: #30256
+[unit-resolution #30290 #29077 #29305]: false
 unsat