src/HOL/SMT/Examples/SMT_Examples.certs

updated SMT certificates

bb06851c317eb8b672e27364b0ae34a4e39eb880 8 0
#2 := false
#1 := true
#4 := (not true)
#21 := (iff #4 false)
#22 := [rewrite]: #21
#20 := [asserted]: #4
[mp #20 #22]: false
unsat
70d1f77bec207467bc0306af0d98a71fa8328274 19 0
#2 := false
decl up_1 :: bool
#4 := up_1
#5 := (not up_1)
#6 := (or up_1 #5)
#7 := (not #6)
#31 := (iff #7 false)
#1 := true
#26 := (not true)
#29 := (iff #26 false)
#30 := [rewrite]: #29
#27 := (iff #7 #26)
#24 := (iff #6 true)
#25 := [rewrite]: #24
#28 := [monotonicity #25]: #27
#32 := [trans #28 #30]: #31
#23 := [asserted]: #7
[mp #23 #32]: false
unsat
148012a9e9d44fe30a0c79e3344bdb805124f661 25 0
#2 := false
decl up_1 :: bool
#4 := up_1
#1 := true
#5 := (and up_1 true)
#6 := (iff #5 up_1)
#7 := (not #6)
#37 := (iff #7 false)
#32 := (not true)
#35 := (iff #32 false)
#36 := [rewrite]: #35
#33 := (iff #7 #32)
#30 := (iff #6 true)
#25 := (iff up_1 up_1)
#28 := (iff #25 true)
#29 := [rewrite]: #28
#26 := (iff #6 #25)
#24 := [rewrite]: #6
#27 := [monotonicity #24]: #26
#31 := [trans #27 #29]: #30
#34 := [monotonicity #31]: #33
#38 := [trans #34 #36]: #37
#23 := [asserted]: #7
[mp #23 #38]: false
unsat
bc9a25b7f6dc3ac2431ee71b6e71c5a7b25e89d1 38 0
#2 := false
decl up_2 :: bool
#5 := up_2
decl up_1 :: bool
#4 := up_1
#6 := (or up_1 up_2)
#51 := (iff #6 false)
#46 := (or false false)
#49 := (iff #46 false)
#50 := [rewrite]: #49
#47 := (iff #6 #46)
#40 := (iff up_2 false)
#9 := (not up_2)
#43 := (iff #9 #40)
#41 := (iff #40 #9)
#42 := [rewrite]: #41
#44 := [symm #42]: #43
#32 := [asserted]: #9
#45 := [mp #32 #44]: #40
#35 := (iff up_1 false)
#7 := (not up_1)
#37 := (iff #7 #35)
#33 := (iff #35 #7)
#36 := [rewrite]: #33
#38 := [symm #36]: #37
#26 := (and #7 #6)
#8 := (and #6 #7)
#27 := (iff #8 #26)
#28 := [rewrite]: #27
#25 := [asserted]: #8
#31 := [mp #25 #28]: #26
#29 := [and-elim #31]: #7
#39 := [mp #29 #38]: #35
#48 := [monotonicity #39 #45]: #47
#52 := [trans #48 #50]: #51
#30 := [and-elim #31]: #6
[mp #30 #52]: false
unsat
9b3db6ce34c8a1806160f1349b898b6c5ca40ba0 1 0
unsat
912e9b7fb52f4a71d232354b3bb53c11e5a41ccd 71 0
#2 := false
decl up_1 :: bool
#4 := up_1
decl up_3 :: bool
#7 := up_3
#10 := (and up_1 up_3)
decl up_2 :: bool
#5 := up_2
#9 := (and up_3 up_2)
#11 := (or #9 #10)
#12 := (implies up_1 #11)
#13 := (or #12 up_1)
#6 := (and up_1 up_2)
#8 := (or #6 up_3)
#14 := (implies #8 #13)
#15 := (not #14)
#81 := (iff #15 false)
#32 := (and up_2 up_3)
#38 := (or #10 #32)
#46 := (not up_1)
#47 := (or #46 #38)
#55 := (or up_1 #47)
#63 := (not #8)
#64 := (or #63 #55)
#69 := (not #64)
#79 := (iff #69 false)
#1 := true
#74 := (not true)
#77 := (iff #74 false)
#78 := [rewrite]: #77
#75 := (iff #69 #74)
#72 := (iff #64 true)
#73 := [rewrite]: #72
#76 := [monotonicity #73]: #75
#80 := [trans #76 #78]: #79
#70 := (iff #15 #69)
#67 := (iff #14 #64)
#60 := (implies #8 #55)
#65 := (iff #60 #64)
#66 := [rewrite]: #65
#61 := (iff #14 #60)
#58 := (iff #13 #55)
#52 := (or #47 up_1)
#56 := (iff #52 #55)
#57 := [rewrite]: #56
#53 := (iff #13 #52)
#50 := (iff #12 #47)
#43 := (implies up_1 #38)
#48 := (iff #43 #47)
#49 := [rewrite]: #48
#44 := (iff #12 #43)
#41 := (iff #11 #38)
#35 := (or #32 #10)
#39 := (iff #35 #38)
#40 := [rewrite]: #39
#36 := (iff #11 #35)
#33 := (iff #9 #32)
#34 := [rewrite]: #33
#37 := [monotonicity #34]: #36
#42 := [trans #37 #40]: #41
#45 := [monotonicity #42]: #44
#51 := [trans #45 #49]: #50
#54 := [monotonicity #51]: #53
#59 := [trans #54 #57]: #58
#62 := [monotonicity #59]: #61
#68 := [trans #62 #66]: #67
#71 := [monotonicity #68]: #70
#82 := [trans #71 #80]: #81
#31 := [asserted]: #15
[mp #31 #82]: false
unsat
4d063d3cdf6657ddb4258379f900ef18e9042978 57 0
#2 := false
decl up_1 :: bool
#4 := up_1
#5 := (iff up_1 up_1)
#6 := (iff #5 up_1)
#7 := (iff #6 up_1)
#8 := (iff #7 up_1)
#9 := (iff #8 up_1)
#10 := (iff #9 up_1)
#11 := (iff #10 up_1)
#12 := (iff #11 up_1)
#13 := (iff #12 up_1)
#14 := (not #13)
#69 := (iff #14 false)
#1 := true
#64 := (not true)
#67 := (iff #64 false)
#68 := [rewrite]: #67
#65 := (iff #14 #64)
#62 := (iff #13 true)
#31 := (iff #5 true)
#32 := [rewrite]: #31
#60 := (iff #13 #5)
#33 := (iff true up_1)
#36 := (iff #33 up_1)
#37 := [rewrite]: #36
#57 := (iff #12 #33)
#55 := (iff #11 true)
#53 := (iff #11 #5)
#50 := (iff #10 #33)
#48 := (iff #9 true)
#46 := (iff #9 #5)
#43 := (iff #8 #33)
#41 := (iff #7 true)
#39 := (iff #7 #5)
#34 := (iff #6 #33)
#35 := [monotonicity #32]: #34
#38 := [trans #35 #37]: #7
#40 := [monotonicity #38]: #39
#42 := [trans #40 #32]: #41
#44 := [monotonicity #42]: #43
#45 := [trans #44 #37]: #9
#47 := [monotonicity #45]: #46
#49 := [trans #47 #32]: #48
#51 := [monotonicity #49]: #50
#52 := [trans #51 #37]: #11
#54 := [monotonicity #52]: #53
#56 := [trans #54 #32]: #55
#58 := [monotonicity #56]: #57
#59 := [trans #58 #37]: #13
#61 := [monotonicity #59]: #60
#63 := [trans #61 #32]: #62
#66 := [monotonicity #63]: #65
#70 := [trans #66 #68]: #69
#30 := [asserted]: #14
[mp #30 #70]: false
unsat
c6eb111aa830c9669a030c2e58b4e827706981da 194 0
#2 := false
decl up_1 :: bool
#4 := up_1
#75 := (not up_1)
#246 := (iff #75 false)
#1 := true
#214 := (not true)
#217 := (iff #214 false)
#218 := [rewrite]: #217
#244 := (iff #75 #214)
#238 := (iff up_1 true)
#241 := (iff up_1 #238)
#239 := (iff #238 up_1)
#240 := [rewrite]: #239
#242 := [symm #240]: #241
decl up_4 :: bool
#7 := up_4
decl up_2 :: bool
#5 := up_2
#161 := (or up_1 up_2 up_4)
#200 := (iff #161 up_1)
#195 := (or up_1 false false)
#198 := (iff #195 up_1)
#199 := [rewrite]: #198
#196 := (iff #161 #195)
#189 := (iff up_4 false)
#102 := (not up_4)
#192 := (iff #102 #189)
#190 := (iff #189 #102)
#191 := [rewrite]: #190
#193 := [symm #191]: #192
decl up_3 :: bool
#6 := up_3
#108 := (or up_3 #102)
#180 := (iff #108 #102)
#175 := (or false #102)
#178 := (iff #175 #102)
#179 := [rewrite]: #178
#176 := (iff #108 #175)
#152 := (iff up_3 false)
#16 := (not up_3)
#155 := (iff #16 #152)
#153 := (iff #152 #16)
#154 := [rewrite]: #153
#156 := [symm #154]: #155
decl up_9 :: bool
#32 := up_9
#33 := (not up_9)
#34 := (and up_9 #33)
decl up_8 :: bool
#30 := up_8
#35 := (or up_8 #34)
#31 := (not up_8)
#36 := (and #31 #35)
#37 := (or up_3 #36)
#38 := (not #37)
#138 := (iff #38 #16)
#136 := (iff #37 up_3)
#131 := (or up_3 false)
#134 := (iff #131 up_3)
#135 := [rewrite]: #134
#132 := (iff #37 #131)
#129 := (iff #36 false)
#124 := (and #31 up_8)
#127 := (iff #124 false)
#128 := [rewrite]: #127
#125 := (iff #36 #124)
#122 := (iff #35 up_8)
#117 := (or up_8 false)
#120 := (iff #117 up_8)
#121 := [rewrite]: #120
#118 := (iff #35 #117)
#114 := (iff #34 false)
#116 := [rewrite]: #114
#119 := [monotonicity #116]: #118
#123 := [trans #119 #121]: #122
#126 := [monotonicity #123]: #125
#130 := [trans #126 #128]: #129
#133 := [monotonicity #130]: #132
#137 := [trans #133 #135]: #136
#139 := [monotonicity #137]: #138
#113 := [asserted]: #38
#142 := [mp #113 #139]: #16
#157 := [mp #142 #156]: #152
#177 := [monotonicity #157]: #176
#181 := [trans #177 #179]: #180
#27 := (or up_4 false)
#28 := (not #27)
#29 := (or #28 up_3)
#111 := (iff #29 #108)
#105 := (or #102 up_3)
#109 := (iff #105 #108)
#110 := [rewrite]: #109
#106 := (iff #29 #105)
#103 := (iff #28 #102)
#99 := (iff #27 up_4)
#101 := [rewrite]: #99
#104 := [monotonicity #101]: #103
#107 := [monotonicity #104]: #106
#112 := [trans #107 #110]: #111
#98 := [asserted]: #29
#115 := [mp #98 #112]: #108
#182 := [mp #115 #181]: #102
#194 := [mp #182 #193]: #189
#183 := (iff up_2 false)
#92 := (not up_2)
#186 := (iff #92 #183)
#184 := (iff #183 #92)
#185 := [rewrite]: #184
#187 := [symm #185]: #186
#95 := (or #92 up_3)
#172 := (iff #95 #92)
#167 := (or #92 false)
#170 := (iff #167 #92)
#171 := [rewrite]: #170
#168 := (iff #95 #167)
#169 := [monotonicity #157]: #168
#173 := [trans #169 #171]: #172
decl up_7 :: bool
#21 := up_7
#22 := (not up_7)
#23 := (or up_7 #22)
#24 := (and up_2 #23)
#25 := (not #24)
#26 := (or #25 up_3)
#96 := (iff #26 #95)
#93 := (iff #25 #92)
#90 := (iff #24 up_2)
#85 := (and up_2 true)
#88 := (iff #85 up_2)
#89 := [rewrite]: #88
#86 := (iff #24 #85)
#82 := (iff #23 true)
#84 := [rewrite]: #82
#87 := [monotonicity #84]: #86
#91 := [trans #87 #89]: #90
#94 := [monotonicity #91]: #93
#97 := [monotonicity #94]: #96
#81 := [asserted]: #26
#100 := [mp #81 #97]: #95
#174 := [mp #100 #173]: #92
#188 := [mp #174 #187]: #183
#197 := [monotonicity #188 #194]: #196
#201 := [trans #197 #199]: #200
#58 := (or up_1 up_2 up_3 up_4)
#164 := (iff #58 #161)
#158 := (or up_1 up_2 false up_4)
#162 := (iff #158 #161)
#163 := [rewrite]: #162
#159 := (iff #58 #158)
#160 := [monotonicity #157]: #159
#165 := [trans #160 #163]: #164
#8 := (or up_3 up_4)
#9 := (or up_2 #8)
#10 := (or up_1 #9)
#59 := (iff #10 #58)
#60 := [rewrite]: #59
#55 := [asserted]: #10
#61 := [mp #55 #60]: #58
#166 := [mp #61 #165]: #161
#202 := [mp #166 #201]: up_1
#243 := [mp #202 #242]: #238
#245 := [monotonicity #243]: #244
#247 := [trans #245 #218]: #246
#78 := (or #75 up_2)
#235 := (iff #78 #75)
#230 := (or #75 false)
#233 := (iff #230 #75)
#234 := [rewrite]: #233
#231 := (iff #78 #230)
#232 := [monotonicity #188]: #231
#236 := [trans #232 #234]: #235
#17 := (and up_3 #16)
#18 := (or up_1 #17)
#19 := (not #18)
#20 := (or #19 up_2)
#79 := (iff #20 #78)
#76 := (iff #19 #75)
#73 := (iff #18 up_1)
#68 := (or up_1 false)
#71 := (iff #68 up_1)
#72 := [rewrite]: #71
#69 := (iff #18 #68)
#62 := (iff #17 false)
#67 := [rewrite]: #62
#70 := [monotonicity #67]: #69
#74 := [trans #70 #72]: #73
#77 := [monotonicity #74]: #76
#80 := [monotonicity #77]: #79
#57 := [asserted]: #20
#83 := [mp #57 #80]: #78
#237 := [mp #83 #236]: #75
[mp #237 #247]: false
unsat
42890f9fa7c18237798ca55d0cf9dfff6f2f868a 52 0
#2 := false
decl uf_1 :: (-> T1 T1 T1)
decl uf_2 :: T1
#10 := uf_2
decl uf_3 :: T1
#12 := uf_3
#14 := (uf_1 uf_3 uf_2)
#13 := (uf_1 uf_2 uf_3)
#15 := (= #13 #14)
#44 := (not #15)
#11 := (= uf_2 uf_2)
#16 := (and #11 #15)
#17 := (not #16)
#45 := (iff #17 #44)
#42 := (iff #16 #15)
#1 := true
#37 := (and true #15)
#40 := (iff #37 #15)
#41 := [rewrite]: #40
#38 := (iff #16 #37)
#35 := (iff #11 true)
#36 := [rewrite]: #35
#39 := [monotonicity #36]: #38
#43 := [trans #39 #41]: #42
#46 := [monotonicity #43]: #45
#34 := [asserted]: #17
#49 := [mp #34 #46]: #44
#4 := (:var 1 T1)
#5 := (:var 0 T1)
#7 := (uf_1 #5 #4)
#530 := (pattern #7)
#6 := (uf_1 #4 #5)
#529 := (pattern #6)
#8 := (= #6 #7)
#531 := (forall (vars (?x1 T1) (?x2 T1)) (:pat #529 #530) #8)
#9 := (forall (vars (?x1 T1) (?x2 T1)) #8)
#534 := (iff #9 #531)
#532 := (iff #8 #8)
#533 := [refl]: #532
#535 := [quant-intro #533]: #534
#55 := (~ #9 #9)
#53 := (~ #8 #8)
#54 := [refl]: #53
#56 := [nnf-pos #54]: #55
#33 := [asserted]: #9
#57 := [mp~ #33 #56]: #9
#536 := [mp #57 #535]: #531
#112 := (not #531)
#199 := (or #112 #15)
#113 := [quant-inst]: #199
[unit-resolution #113 #536 #49]: false
unsat
94169ba151f7a720e818287ce490015dde764bad 1667 0
#2 := false
decl up_54 :: bool
#126 := up_54
#317 := (not up_54)
decl up_60 :: bool
#145 := up_60
decl up_56 :: bool
#131 := up_56
#325 := (not up_56)
decl up_55 :: bool
#130 := up_55
decl up_46 :: bool
#108 := up_46
#291 := (not up_46)
decl up_35 :: bool
#81 := up_35
decl up_29 :: bool
#66 := up_29
decl up_32 :: bool
#72 := up_32
#235 := (not up_32)
decl up_34 :: bool
#77 := up_34
#243 := (not up_34)
decl up_33 :: bool
#76 := up_33
#250 := (not up_35)
#1611 := [hypothesis]: #250
decl up_24 :: bool
#54 := up_24
#209 := (not up_24)
decl up_13 :: bool
#28 := up_13
decl up_11 :: bool
#24 := up_11
#165 := (not up_11)
decl up_12 :: bool
#25 := up_12
#2327 := (or up_12 up_35)
#345 := (not up_60)
decl up_59 :: bool
#142 := up_59
decl up_19 :: bool
#40 := up_19
decl up_8 :: bool
#17 := up_8
#156 := (not up_8)
decl up_7 :: bool
#16 := up_7
#166 := (not up_12)
#1457 := [hypothesis]: #166
#2183 := (or up_7 up_12 up_35)
#155 := (not up_7)
#1612 := [hypothesis]: #155
decl up_10 :: bool
#21 := up_10
#161 := (not up_10)
decl up_20 :: bool
#44 := up_20
decl up_23 :: bool
#50 := up_23
#202 := (not up_23)
#2170 := (or up_34 up_7 up_35 up_12)
#1605 := [hypothesis]: #243
#2164 := (or up_29 up_34 up_7 up_35 up_12)
decl up_42 :: bool
#98 := up_42
#275 := (not up_42)
#226 := (not up_29)
#907 := [hypothesis]: #226
#2136 := (or up_29 up_12 up_7 up_35 up_32)
decl up_22 :: bool
#49 := up_22
#895 := [hypothesis]: #235
#1624 := (or up_29 up_22 up_12 up_32 up_35 up_7)
decl up_21 :: bool
#45 := up_21
decl up_31 :: bool
#71 := up_31
#234 := (not up_31)
decl up_9 :: bool
#20 := up_9
#201 := (not up_22)
#1456 := [hypothesis]: #201
#847 := (or #161 up_32 up_29 up_22 up_12)
#193 := (not up_20)
#1400 := [hypothesis]: up_10
#964 := (or #161 #193)
#197 := (or #193 #161)
#966 := (iff #197 #964)
#967 := [rewrite]: #966
#963 := [asserted]: #197
#970 := [mp #963 #967]: #964
#1399 := [unit-resolution #970 #1400]: #193
#500 := (or up_12 up_20 up_22 up_23)
#51 := (or up_20 up_12)
#52 := (or up_23 #51)
#53 := (or up_22 #52)
#503 := (iff #53 #500)
#491 := (or up_12 up_20)
#494 := (or up_23 #491)
#497 := (or up_22 #494)
#501 := (iff #497 #500)
#502 := [rewrite]: #501
#498 := (iff #53 #497)
#495 := (iff #52 #494)
#492 := (iff #51 #491)
#493 := [rewrite]: #492
#496 := [monotonicity #493]: #495
#499 := [monotonicity #496]: #498
#504 := [trans #499 #502]: #503
#490 := [asserted]: #53
#505 := [mp #490 #504]: #500
#900 := [unit-resolution #505 #1399 #1456 #1457]: up_23
#194 := (not up_21)
#974 := (or #161 #194)
#199 := (or #194 #161)
#976 := (iff #199 #974)
#977 := [rewrite]: #976
#973 := [asserted]: #199
#980 := [mp #973 #977]: #974
#902 := [unit-resolution #980 #1400]: #194
#574 := (or up_21 up_29 up_31 up_32)
#73 := (or up_29 up_21)
#74 := (or up_32 #73)
#75 := (or up_31 #74)
#577 := (iff #75 #574)
#565 := (or up_21 up_29)
#568 := (or up_32 #565)
#571 := (or up_31 #568)
#575 := (iff #571 #574)
#576 := [rewrite]: #575
#572 := (iff #75 #571)
#569 := (iff #74 #568)
#566 := (iff #73 #565)
#567 := [rewrite]: #566
#570 := [monotonicity #567]: #569
#573 := [monotonicity #570]: #572
#578 := [trans #573 #576]: #577
#564 := [asserted]: #75
#579 := [mp #564 #578]: #574
#851 := [unit-resolution #579 #902 #895 #907]: up_31
#1135 := (or #202 #234)
#249 := (or #234 #202)
#1137 := (iff #249 #1135)
#1138 := [rewrite]: #1137
#1134 := [asserted]: #249
#1141 := [mp #1134 #1138]: #1135
#858 := [unit-resolution #1141 #851 #900]: false
#853 := [lemma #858]: #847
#1613 := [unit-resolution #853 #907 #1456 #895 #1457]: #161
#405 := (or up_7 up_9 up_10)
#22 := (or up_10 up_7)
#23 := (or up_9 #22)
#408 := (iff #23 #405)
#399 := (or up_7 up_10)
#402 := (or up_9 #399)
#406 := (iff #402 #405)
#407 := [rewrite]: #406
#403 := (iff #23 #402)
#400 := (iff #22 #399)
#401 := [rewrite]: #400
#404 := [monotonicity #401]: #403
#409 := [trans #404 #407]: #408
#398 := [asserted]: #23
#410 := [mp #398 #409]: #405
#1614 := [unit-resolution #410 #1613 #1612]: up_9
#160 := (not up_9)
#881 := (or #160 #165)
#168 := (or #165 #160)
#882 := (iff #168 #881)
#883 := [rewrite]: #882
#879 := [asserted]: #168
#886 := [mp #879 #883]: #881
#1615 := [unit-resolution #886 #1614]: #165
#425 := (or up_11 up_13)
#29 := (or up_13 up_11)
#426 := (iff #29 #425)
#427 := [rewrite]: #426
#424 := [asserted]: #29
#430 := [mp #424 #427]: #425
#1616 := [unit-resolution #430 #1615]: up_13
#170 := (not up_13)
#1015 := (or #170 #209)
#211 := (or #209 #170)
#1017 := (iff #211 #1015)
#1018 := [rewrite]: #1017
#1014 := [asserted]: #211
#1021 := [mp #1014 #1018]: #1015
#1617 := [unit-resolution #1021 #1616]: #209
#603 := (or up_24 up_33 up_35)
#82 := (or up_33 up_24)
#83 := (or up_35 #82)
#606 := (iff #83 #603)
#597 := (or up_24 up_33)
#600 := (or up_35 #597)
#604 := (iff #600 #603)
#605 := [rewrite]: #604
#601 := (iff #83 #600)
#598 := (iff #82 #597)
#599 := [rewrite]: #598
#602 := [monotonicity #599]: #601
#607 := [trans #602 #605]: #606
#596 := [asserted]: #83
#608 := [mp #596 #607]: #603
#1618 := [unit-resolution #608 #1617 #1611]: up_33
#242 := (not up_33)
#1116 := (or #234 #242)
#245 := (or #242 #234)
#1117 := (iff #245 #1116)
#1118 := [rewrite]: #1117
#1114 := [asserted]: #245
#1121 := [mp #1114 #1118]: #1116
#1619 := [unit-resolution #1121 #1618]: #234
#1620 := [unit-resolution #579 #1619 #895 #907]: up_21
#1120 := (or #202 #242)
#246 := (or #242 #202)
#1122 := (iff #246 #1120)
#1123 := [rewrite]: #1122
#1119 := [asserted]: #246
#1126 := [mp #1119 #1123]: #1120
#1621 := [unit-resolution #1126 #1618]: #202
#1622 := [unit-resolution #505 #1621 #1456 #1457]: up_20
#195 := (or #193 #194)
#957 := [asserted]: #195
#1623 := [unit-resolution #957 #1622 #1620]: false
#1625 := [lemma #1623]: #1624
#2132 := [unit-resolution #1625 #907 #1611 #1457 #895 #1612]: up_22
#1978 := (or up_32 up_35 up_29 up_21 up_12 up_7)
#1972 := [unit-resolution #1625 #895 #907 #1457 #1611 #1612]: up_22
#1010 := (or #201 #209)
#210 := (or #209 #201)
#1012 := (iff #210 #1010)
#1013 := [rewrite]: #1012
#1009 := [asserted]: #210
#1016 := [mp #1009 #1013]: #1010
#1973 := [unit-resolution #1016 #1972]: #209
#1974 := [hypothesis]: #194
#1975 := [unit-resolution #579 #895 #907 #1974]: up_31
#1976 := [unit-resolution #1121 #1975]: #242
#1977 := [unit-resolution #608 #1976 #1973 #1611]: false
#1979 := [lemma #1977]: #1978
#2133 := [unit-resolution #1979 #907 #1611 #1457 #895 #1612]: up_21
#1682 := (or #194 up_7 up_12 up_23)
#1673 := [hypothesis]: #202
#1674 := [hypothesis]: up_21
#1675 := [unit-resolution #957 #1674]: #193
#1676 := [unit-resolution #505 #1675 #1457 #1673]: up_22
#1020 := (or #170 #201)
#212 := (or #201 #170)
#1022 := (iff #212 #1020)
#1023 := [rewrite]: #1022
#1019 := [asserted]: #212
#1026 := [mp #1019 #1023]: #1020
#1677 := [unit-resolution #1026 #1676]: #170
#1678 := [unit-resolution #980 #1674]: #161
#1679 := [unit-resolution #410 #1678 #1612]: up_9
#1680 := [unit-resolution #886 #1679]: #165
#1681 := [unit-resolution #430 #1680 #1677]: false
#1683 := [lemma #1681]: #1682
#2134 := [unit-resolution #1683 #2133 #1457 #1612]: up_23
#203 := (or #201 #202)
#983 := [asserted]: #203
#2135 := [unit-resolution #983 #2134 #2132]: false
#2137 := [lemma #2135]: #2136
#2156 := [unit-resolution #2137 #907 #1612 #1611 #1457]: up_32
#1224 := (or #235 #275)
#279 := (or #275 #235)
#1226 := (iff #279 #1224)
#1227 := [rewrite]: #1226
#1223 := [asserted]: #279
#1230 := [mp #1223 #1227]: #1224
#2157 := [unit-resolution #1230 #2156]: #275
#2158 := (or up_12 up_29 up_7 up_54)
decl up_26 :: bool
#58 := up_26
#214 := (not up_26)
decl up_15 :: bool
#31 := up_15
decl up_14 :: bool
#30 := up_14
#172 := (not up_14)
decl up_6 :: bool
#13 := up_6
decl up_5 :: bool
#12 := up_5
#150 := (not up_5)
decl up_25 :: bool
#57 := up_25
#2099 := [hypothesis]: up_5
#859 := (or #150 #155)
#158 := (or #155 #150)
#860 := (iff #158 #859)
#861 := [rewrite]: #860
#857 := [asserted]: #158
#864 := [mp #857 #861]: #859
#2100 := [unit-resolution #864 #2099]: #155
#863 := (or #150 #156)
#159 := (or #156 #150)
#865 := (iff #159 #863)
#866 := [rewrite]: #865
#862 := [asserted]: #159
#869 := [mp #862 #866]: #863
#2101 := [unit-resolution #869 #2099]: #156
#2097 := (or up_12 up_7 up_8)
#1626 := [hypothesis]: #156
#2054 := (or up_54 up_7 up_8)
decl up_16 :: bool
#34 := up_16
#1597 := [hypothesis]: #317
#1888 := (or up_16 up_8 up_7 up_54)
decl up_45 :: bool
#104 := up_45
#284 := (not up_45)
decl up_52 :: bool
#121 := up_52
#309 := (not up_52)
decl up_51 :: bool
#120 := up_51
#177 := (not up_16)
#1627 := [hypothesis]: #177
#1733 := (or up_51 up_7 up_54 up_8 up_16)
decl up_53 :: bool
#125 := up_53
#308 := (not up_51)
#1598 := [hypothesis]: #308
decl up_43 :: bool
#99 := up_43
#276 := (not up_43)
#1710 := (or up_32 up_16 up_8 up_7 up_51 up_54)
#1671 := (or up_35 up_16 up_8 up_32 up_7)
#1655 := (or #166 up_32 up_16 up_8 up_35 up_7)
#1642 := [hypothesis]: up_12
#885 := (or #160 #166)
#169 := (or #166 #160)
#887 := (iff #169 #885)
#888 := [rewrite]: #887
#884 := [asserted]: #169
#891 := [mp #884 #888]: #885
#1643 := [unit-resolution #891 #1642]: #160
#1644 := [unit-resolution #410 #1643 #1612]: up_10
#1645 := [unit-resolution #980 #1644]: #194
#167 := (or #165 #166)
#878 := [asserted]: #167
#1646 := [unit-resolution #878 #1642]: #165
#1647 := [unit-resolution #430 #1646]: up_13
#1648 := [unit-resolution #1021 #1647]: #209
#1649 := [unit-resolution #608 #1648 #1611]: up_33
#1650 := [unit-resolution #1121 #1649]: #234
decl up_18 :: bool
#39 := up_18
#185 := (not up_18)
#979 := (or #161 #185)
#200 := (or #185 #161)
#981 := (iff #200 #979)
#982 := [rewrite]: #981
#978 := [asserted]: #200
#985 := [mp #978 #982]: #979
#1651 := [unit-resolution #985 #1644]: #185
#468 := (or up_8 up_16 up_18 up_19)
#41 := (or up_16 up_8)
#42 := (or up_19 #41)
#43 := (or up_18 #42)
#471 := (iff #43 #468)
#459 := (or up_8 up_16)
#462 := (or up_19 #459)
#465 := (or up_18 #462)
#469 := (iff #465 #468)
#470 := [rewrite]: #469
#466 := (iff #43 #465)
#463 := (iff #42 #462)
#460 := (iff #41 #459)
#461 := [rewrite]: #460
#464 := [monotonicity #461]: #463
#467 := [monotonicity #464]: #466
#472 := [trans #467 #470]: #471
#458 := [asserted]: #43
#473 := [mp #458 #472]: #468
#1652 := [unit-resolution #473 #1651 #1627 #1626]: up_19
#186 := (not up_19)
#1068 := (or #186 #226)
#230 := (or #226 #186)
#1070 := (iff #230 #1068)
#1071 := [rewrite]: #1070
#1067 := [asserted]: #230
#1074 := [mp #1067 #1071]: #1068
#1653 := [unit-resolution #1074 #1652]: #226
#1654 := [unit-resolution #579 #1653 #1650 #895 #1645]: false
#1656 := [lemma #1654]: #1655
#1657 := [unit-resolution #1656 #1611 #1627 #1626 #895 #1612]: #166
#1640 := (or up_12 up_35 up_7 up_22 up_16 up_8 up_32)
#1628 := [unit-resolution #1625 #1457 #1456 #895 #1611 #1612]: up_29
#1629 := [unit-resolution #1074 #1628]: #186
#1630 := [unit-resolution #473 #1629 #1627 #1626]: up_18
#960 := (or #185 #193)
#196 := (or #193 #185)
#961 := (iff #196 #960)
#962 := [rewrite]: #961
#958 := [asserted]: #196
#965 := [mp #958 #962]: #960
#1631 := [unit-resolution #965 #1630]: #193
#1632 := [unit-resolution #505 #1631 #1456 #1457]: up_23
#1633 := [unit-resolution #1126 #1632]: #242
#1634 := [unit-resolution #608 #1633 #1611]: up_24
#1635 := [unit-resolution #985 #1630]: #161
#1636 := [unit-resolution #410 #1635 #1612]: up_9
#1637 := [unit-resolution #886 #1636]: #165
#1638 := [unit-resolution #430 #1637]: up_13
#1639 := [unit-resolution #1021 #1638 #1634]: false
#1641 := [lemma #1639]: #1640
#1658 := [unit-resolution #1641 #1657 #1612 #1611 #1627 #1626 #895]: up_22
#1659 := [unit-resolution #1016 #1658]: #209
#1660 := [unit-resolution #608 #1659 #1611]: up_33
#1661 := [unit-resolution #1121 #1660]: #234
#1662 := [unit-resolution #1026 #1658]: #170
#1663 := [unit-resolution #430 #1662]: up_11
#1664 := [unit-resolution #886 #1663]: #160
#1665 := [unit-resolution #410 #1664 #1612]: up_10
#1666 := [unit-resolution #980 #1665]: #194
#1667 := [unit-resolution #579 #1666 #895 #1661]: up_29
#1668 := [unit-resolution #985 #1665]: #185
#1669 := [unit-resolution #473 #1668 #1627 #1626]: up_19
#1670 := [unit-resolution #1074 #1669 #1667]: false
#1672 := [lemma #1670]: #1671
#1698 := [unit-resolution #1672 #895 #1626 #1627 #1612]: up_35
#1609 := (or #250 up_34 up_51 up_54)
#316 := (not up_53)
#1599 := [hypothesis]: up_35
#1275 := (or #250 #291)
#293 := (or #291 #250)
#1277 := (iff #293 #1275)
#1278 := [rewrite]: #1277
#1274 := [asserted]: #293
#1281 := [mp #1274 #1278]: #1275
#1600 := [unit-resolution #1281 #1599]: #291
#777 := (or up_46 up_55)
decl up_4 :: bool
#10 := up_4
#783 := (or up_4 up_46 up_55)
#1514 := (iff #783 #777)
#1509 := (or false up_46 up_55)
#1512 := (iff #1509 #777)
#1513 := [rewrite]: #1512
#1510 := (iff #783 #1509)
#1485 := (iff up_4 false)
#11 := (not up_4)
#1488 := (iff #11 #1485)
#1486 := (iff #1485 #11)
#1487 := [rewrite]: #1486
#1489 := [symm #1487]: #1488
#371 := [asserted]: #11
#1490 := [mp #371 #1489]: #1485
#1511 := [monotonicity #1490]: #1510
#1515 := [trans #1511 #1513]: #1514
#135 := (or up_55 up_46)
#136 := (or up_4 #135)
#786 := (iff #136 #783)
#780 := (or up_4 #777)
#784 := (iff #780 #783)
#785 := [rewrite]: #784
#781 := (iff #136 #780)
#778 := (iff #135 #777)
#779 := [rewrite]: #778
#782 := [monotonicity #779]: #781
#787 := [trans #782 #785]: #786
#776 := [asserted]: #136
#788 := [mp #776 #787]: #783
#1516 := [mp #788 #1515]: #777
#1601 := [unit-resolution #1516 #1600]: up_55
#324 := (not up_55)
#1376 := (or #316 #324)
#327 := (or #324 #316)
#1377 := (iff #327 #1376)
#1378 := [rewrite]: #1377
#1374 := [asserted]: #327
#1381 := [mp #1374 #1378]: #1376
#1602 := [unit-resolution #1381 #1601]: #316
#754 := (or up_43 up_51 up_53 up_54)
#127 := (or up_51 up_43)
#128 := (or up_54 #127)
#129 := (or up_53 #128)
#757 := (iff #129 #754)
#745 := (or up_43 up_51)
#748 := (or up_54 #745)
#751 := (or up_53 #748)
#755 := (iff #751 #754)
#756 := [rewrite]: #755
#752 := (iff #129 #751)
#749 := (iff #128 #748)
#746 := (iff #127 #745)
#747 := [rewrite]: #746
#750 := [monotonicity #747]: #749
#753 := [monotonicity #750]: #752
#758 := [trans #753 #756]: #757
#744 := [asserted]: #129
#759 := [mp #744 #758]: #754
#1603 := [unit-resolution #759 #1602 #1598 #1597]: up_43
decl up_44 :: bool
#103 := up_44
#283 := (not up_44)
#1280 := (or #250 #283)
#294 := (or #283 #250)
#1282 := (iff #294 #1280)
#1283 := [rewrite]: #1282
#1279 := [asserted]: #294
#1286 := [mp #1279 #1283]: #1280
#1604 := [unit-resolution #1286 #1599]: #283
#1380 := (or #284 #324)
#328 := (or #324 #284)
#1382 := (iff #328 #1380)
#1383 := [rewrite]: #1382
#1379 := [asserted]: #328
#1386 := [mp #1379 #1383]: #1380
#1606 := [unit-resolution #1386 #1601]: #284
#680 := (or up_34 up_42 up_44 up_45)
#105 := (or up_42 up_34)
#106 := (or up_45 #105)
#107 := (or up_44 #106)
#683 := (iff #107 #680)
#671 := (or up_34 up_42)
#674 := (or up_45 #671)
#677 := (or up_44 #674)
#681 := (iff #677 #680)
#682 := [rewrite]: #681
#678 := (iff #107 #677)
#675 := (iff #106 #674)
#672 := (iff #105 #671)
#673 := [rewrite]: #672
#676 := [monotonicity #673]: #675
#679 := [monotonicity #676]: #678
#684 := [trans #679 #682]: #683
#670 := [asserted]: #107
#685 := [mp #670 #684]: #680
#1607 := [unit-resolution #685 #1606 #1605 #1604]: up_42
#277 := (or #275 #276)
#1217 := [asserted]: #277
#1608 := [unit-resolution #1217 #1607 #1603]: false
#1610 := [lemma #1608]: #1609
#1699 := [unit-resolution #1610 #1698 #1598 #1597]: up_34
#1125 := (or #234 #243)
#247 := (or #243 #234)
#1127 := (iff #247 #1125)
#1128 := [rewrite]: #1127
#1124 := [asserted]: #247
#1131 := [mp #1124 #1128]: #1125
#1700 := [unit-resolution #1131 #1699]: #234
#1130 := (or #202 #243)
#248 := (or #243 #202)
#1132 := (iff #248 #1130)
#1133 := [rewrite]: #1132
#1129 := [asserted]: #248
#1136 := [mp #1129 #1133]: #1130
#1701 := [unit-resolution #1136 #1699]: #202
#1696 := (or up_12 up_7 up_23 up_16 up_8 up_32 up_31)
#1684 := [hypothesis]: #234
#1685 := [unit-resolution #1683 #1457 #1612 #1673]: #194
#1686 := [unit-resolution #579 #1685 #895 #1684]: up_29
#1687 := [unit-resolution #1074 #1686]: #186
#1688 := [unit-resolution #473 #1687 #1627 #1626]: up_18
#1689 := [unit-resolution #965 #1688]: #193
#1690 := [unit-resolution #505 #1689 #1457 #1673]: up_22
#1691 := [unit-resolution #1026 #1690]: #170
#1692 := [unit-resolution #985 #1688]: #161
#1693 := [unit-resolution #410 #1692 #1612]: up_9
#1694 := [unit-resolution #886 #1693]: #165
#1695 := [unit-resolution #430 #1694 #1691]: false
#1697 := [lemma #1695]: #1696
#1702 := [unit-resolution #1697 #1701 #1612 #1627 #1626 #895 #1700]: up_12
#1703 := [unit-resolution #891 #1702]: #160
#1704 := [unit-resolution #410 #1703 #1612]: up_10
#1705 := [unit-resolution #980 #1704]: #194
#1706 := [unit-resolution #579 #1705 #895 #1700]: up_29
#1707 := [unit-resolution #985 #1704]: #185
#1708 := [unit-resolution #473 #1707 #1627 #1626]: up_19
#1709 := [unit-resolution #1074 #1708 #1706]: false
#1711 := [lemma #1709]: #1710
#1712 := [unit-resolution #1711 #1598 #1626 #1612 #1627 #1597]: up_32
#1234 := (or #235 #276)
#281 := (or #276 #235)
#1236 := (iff #281 #1234)
#1237 := [rewrite]: #1236
#1233 := [asserted]: #281
#1240 := [mp #1233 #1237]: #1234
#1713 := [unit-resolution #1240 #1712]: #276
#1714 := [unit-resolution #759 #1713 #1598 #1597]: up_53
#1395 := (or #284 #316)
#331 := (or #316 #284)
#1397 := (iff #331 #1395)
#1398 := [rewrite]: #1397
#1394 := [asserted]: #331
#1401 := [mp #1394 #1398]: #1395
#1715 := [unit-resolution #1401 #1714]: #284
#1716 := [unit-resolution #1230 #1712]: #275
#1717 := [unit-resolution #1381 #1714]: #324
#1718 := [unit-resolution #1516 #1717]: up_46
#1270 := (or #283 #291)
#292 := (or #291 #283)
#1272 := (iff #292 #1270)
#1273 := [rewrite]: #1272
#1269 := [asserted]: #292
#1276 := [mp #1269 #1273]: #1270
#1719 := [unit-resolution #1276 #1718]: #283
#1720 := [unit-resolution #685 #1719 #1716 #1715]: up_34
#1721 := [unit-resolution #1136 #1720]: #202
#1722 := [unit-resolution #1281 #1718]: #250
#244 := (or #242 #243)
#1113 := [asserted]: #244
#1723 := [unit-resolution #1113 #1720]: #242
#1724 := [unit-resolution #608 #1723 #1722]: up_24
#1725 := [unit-resolution #1016 #1724]: #201
#1726 := [unit-resolution #1021 #1724]: #170
#1727 := [unit-resolution #430 #1726]: up_11
#1728 := [unit-resolution #878 #1727]: #166
#1729 := [unit-resolution #505 #1728 #1725 #1721]: up_20
#1730 := [unit-resolution #886 #1727]: #160
#1731 := [unit-resolution #410 #1730 #1612]: up_10
#1732 := [unit-resolution #970 #1731 #1729]: false
#1734 := [lemma #1732]: #1733
#1858 := [unit-resolution #1734 #1627 #1597 #1626 #1612]: up_51
#310 := (or #308 #309)
#1321 := [asserted]: #310
#1859 := [unit-resolution #1321 #1858]: #309
decl up_58 :: bool
#139 := up_58
#337 := (not up_58)
decl up_49 :: bool
#115 := up_49
#300 := (not up_49)
#1324 := (or #300 #308)
#311 := (or #308 #300)
#1325 := (iff #311 #1324)
#1326 := [rewrite]: #1325
#1322 := [asserted]: #311
#1329 := [mp #1322 #1326]: #1324
#1860 := [unit-resolution #1329 #1858]: #300
decl up_39 :: bool
#89 := up_39
#260 := (not up_39)
decl up_38 :: bool
#88 := up_38
decl up_40 :: bool
#93 := up_40
#267 := (not up_40)
decl up_41 :: bool
#94 := up_41
#268 := (not up_41)
#1328 := (or #268 #308)
#312 := (or #308 #268)
#1330 := (iff #312 #1328)
#1331 := [rewrite]: #1330
#1327 := [asserted]: #312
#1334 := [mp #1327 #1331]: #1328
#1861 := [unit-resolution #1334 #1858]: #268
#1771 := (or up_32 up_16 up_8 up_41 up_49 up_52 up_7)
#1735 := [unit-resolution #1281 #1698]: #291
#1736 := [unit-resolution #1516 #1735]: up_55
#1737 := [unit-resolution #1386 #1736]: #284
#1738 := [unit-resolution #1286 #1698]: #283
#259 := (not up_38)
decl up_50 :: bool
#116 := up_50
#301 := (not up_50)
#1739 := [hypothesis]: #309
#341 := (not up_59)
#326 := (or #324 #325)
#1373 := [asserted]: #326
#1740 := [unit-resolution #1373 #1736]: #325
#834 := (or up_56 up_60)
decl up_3 :: bool
#8 := up_3
#840 := (or up_3 up_56 up_60)
#1522 := (iff #840 #834)
#1517 := (or false up_56 up_60)
#1520 := (iff #1517 #834)
#1521 := [rewrite]: #1520
#1518 := (iff #840 #1517)
#1479 := (iff up_3 false)
#9 := (not up_3)
#1482 := (iff #9 #1479)
#1480 := (iff #1479 #9)
#1481 := [rewrite]: #1480
#1483 := [symm #1481]: #1482
#370 := [asserted]: #9
#1484 := [mp #370 #1483]: #1479
#1519 := [monotonicity #1484]: #1518
#1523 := [trans #1519 #1521]: #1522
#148 := (or up_60 up_56)
#149 := (or up_3 #148)
#843 := (iff #149 #840)
#837 := (or up_3 #834)
#841 := (iff #837 #840)
#842 := [rewrite]: #841
#838 := (iff #149 #837)
#835 := (iff #148 #834)
#836 := [rewrite]: #835
#839 := [monotonicity #836]: #838
#844 := [trans #839 #842]: #843
#833 := [asserted]: #149
#845 := [mp #833 #844]: #840
#1524 := [mp #845 #1523]: #834
#1741 := [unit-resolution #1524 #1740]: up_60
#1442 := (or #341 #345)
#346 := (or #345 #341)
#1444 := (iff #346 #1442)
#1445 := [rewrite]: #1444
#1441 := [asserted]: #346
#1448 := [mp #1441 #1445]: #1442
#1742 := [unit-resolution #1448 #1741]: #341
#814 := (or up_52 up_58 up_59)
#143 := (or up_58 up_52)
#144 := (or up_59 #143)
#817 := (iff #144 #814)
#808 := (or up_52 up_58)
#811 := (or up_59 #808)
#815 := (iff #811 #814)
#816 := [rewrite]: #815
#812 := (iff #144 #811)
#809 := (iff #143 #808)
#810 := [rewrite]: #809
#813 := [monotonicity #810]: #812
#818 := [trans #813 #816]: #817
#807 := [asserted]: #144
#819 := [mp #807 #818]: #814
#1743 := [unit-resolution #819 #1742 #1739]: up_58
#1417 := (or #301 #337)
#339 := (or #337 #301)
#1419 := (iff #339 #1417)
#1420 := [rewrite]: #1419
#1416 := [asserted]: #339
#1423 := [mp #1416 #1420]: #1417
#1744 := [unit-resolution #1423 #1743]: #301
#1745 := [hypothesis]: #300
decl up_47 :: bool
#111 := up_47
#295 := (not up_47)
decl up_48 :: bool
#112 := up_48
decl up_57 :: bool
#137 := up_57
#335 := (not up_57)
#1412 := (or #335 #337)
#338 := (or #337 #335)
#1414 := (iff #338 #1412)
#1415 := [rewrite]: #1414
#1411 := [asserted]: #338
#1418 := [mp #1411 #1415]: #1412
#1746 := [unit-resolution #1418 #1743]: #335
#790 := (or up_48 up_57)
#138 := (or up_57 up_48)
#791 := (iff #138 #790)
#792 := [rewrite]: #791
#789 := [asserted]: #138
#795 := [mp #789 #792]: #790
#1747 := [unit-resolution #795 #1746]: up_48
#296 := (not up_48)
#297 := (or #295 #296)
#1284 := [asserted]: #297
#1748 := [unit-resolution #1284 #1747]: #295
#722 := (or up_39 up_47 up_49 up_50)
#117 := (or up_47 up_39)
#118 := (or up_50 #117)
#119 := (or up_49 #118)
#725 := (iff #119 #722)
#713 := (or up_39 up_47)
#716 := (or up_50 #713)
#719 := (or up_49 #716)
#723 := (iff #719 #722)
#724 := [rewrite]: #723
#720 := (iff #119 #719)
#717 := (iff #118 #716)
#714 := (iff #117 #713)
#715 := [rewrite]: #714
#718 := [monotonicity #715]: #717
#721 := [monotonicity #718]: #720
#726 := [trans #721 #724]: #725
#712 := [asserted]: #119
#727 := [mp #712 #726]: #722
#1749 := [unit-resolution #727 #1748 #1745 #1744]: up_39
#261 := (or #259 #260)
#1165 := [asserted]: #261
#1750 := [unit-resolution #1165 #1749]: #259
#1751 := [hypothesis]: #268
decl up_30 :: bool
#67 := up_30
#227 := (not up_30)
decl up_27 :: bool
#61 := up_27
#213 := (not up_25)
decl up_37 :: bool
#85 := up_37
#255 := (not up_37)
#1291 := (or #255 #296)
#299 := (or #296 #255)
#1293 := (iff #299 #1291)
#1294 := [rewrite]: #1293
#1290 := [asserted]: #299
#1297 := [mp #1290 #1294]: #1291
#1752 := [unit-resolution #1297 #1747]: #255
decl up_36 :: bool
#84 := up_36
#254 := (not up_36)
#1177 := (or #254 #260)
#264 := (or #260 #254)
#1179 := (iff #264 #1177)
#1180 := [rewrite]: #1179
#1176 := [asserted]: #264
#1183 := [mp #1176 #1180]: #1177
#1753 := [unit-resolution #1183 #1749]: #254
#616 := (or up_26 up_36 up_37)
#86 := (or up_37 up_26)
#87 := (or up_36 #86)
#619 := (iff #87 #616)
#610 := (or up_26 up_37)
#613 := (or up_36 #610)
#617 := (iff #613 #616)
#618 := [rewrite]: #617
#614 := (iff #87 #613)
#611 := (iff #86 #610)
#612 := [rewrite]: #611
#615 := [monotonicity #612]: #614
#620 := [trans #615 #618]: #619
#609 := [asserted]: #87
#621 := [mp #609 #620]: #616
#1754 := [unit-resolution #621 #1753 #1752]: up_26
#215 := (or #213 #214)
#1024 := [asserted]: #215
#1755 := [unit-resolution #1024 #1754]: #213
decl up_28 :: bool
#62 := up_28
#219 := (not up_28)
#1182 := (or #219 #260)
#265 := (or #260 #219)
#1184 := (iff #265 #1182)
#1185 := [rewrite]: #1184
#1181 := [asserted]: #265
#1188 := [mp #1181 #1185]: #1182
#1756 := [unit-resolution #1188 #1749]: #219
decl up_17 :: bool
#35 := up_17
#178 := (not up_17)
#173 := (not up_15)
#1031 := (or #173 #214)
#217 := (or #214 #173)
#1033 := (iff #217 #1031)
#1034 := [rewrite]: #1033
#1030 := [asserted]: #217
#1037 := [mp #1030 #1034]: #1031
#1757 := [unit-resolution #1037 #1754]: #173
#1503 := (or up_14 up_15)
decl up_2 :: bool
#6 := up_2
#436 := (or up_2 up_14 up_15)
#1506 := (iff #436 #1503)
#1500 := (or false up_14 up_15)
#1504 := (iff #1500 #1503)
#1505 := [rewrite]: #1504
#1501 := (iff #436 #1500)
#1473 := (iff up_2 false)
#7 := (not up_2)
#1476 := (iff #7 #1473)
#1474 := (iff #1473 #7)
#1475 := [rewrite]: #1474
#1477 := [symm #1475]: #1476
#369 := [asserted]: #7
#1478 := [mp #369 #1477]: #1473
#1502 := [monotonicity #1478]: #1501
#1507 := [trans #1502 #1505]: #1506
#32 := (or up_15 up_2)
#33 := (or up_14 #32)
#439 := (iff #33 #436)
#429 := (or up_2 up_15)
#433 := (or up_14 #429)
#437 := (iff #433 #436)
#438 := [rewrite]: #437
#434 := (iff #33 #433)
#431 := (iff #32 #429)
#432 := [rewrite]: #431
#435 := [monotonicity #432]: #434
#440 := [trans #435 #438]: #439
#428 := [asserted]: #33
#441 := [mp #428 #440]: #436
#1508 := [mp #441 #1507]: #1503
#1758 := [unit-resolution #1508 #1757]: up_14
#917 := (or #172 #178)
#182 := (or #178 #172)
#919 := (iff #182 #917)
#920 := [rewrite]: #919
#916 := [asserted]: #182
#923 := [mp #916 #920]: #917
#1759 := [unit-resolution #923 #1758]: #178
#542 := (or up_17 up_25 up_27 up_28)
#63 := (or up_25 up_17)
#64 := (or up_28 #63)
#65 := (or up_27 #64)
#545 := (iff #65 #542)
#533 := (or up_17 up_25)
#536 := (or up_28 #533)
#539 := (or up_27 #536)
#543 := (iff #539 #542)
#544 := [rewrite]: #543
#540 := (iff #65 #539)
#537 := (iff #64 #536)
#534 := (iff #63 #533)
#535 := [rewrite]: #534
#538 := [monotonicity #535]: #537
#541 := [monotonicity #538]: #540
#546 := [trans #541 #544]: #545
#532 := [asserted]: #65
#547 := [mp #532 #546]: #542
#1760 := [unit-resolution #547 #1759 #1756 #1755]: up_27
#218 := (not up_27)
#1073 := (or #218 #227)
#231 := (or #227 #218)
#1075 := (iff #231 #1073)
#1076 := [rewrite]: #1075
#1072 := [asserted]: #231
#1079 := [mp #1072 #1076]: #1073
#1761 := [unit-resolution #1079 #1760]: #227
#648 := (or up_30 up_38 up_40 up_41)
#95 := (or up_38 up_30)
#96 := (or up_41 #95)
#97 := (or up_40 #96)
#651 := (iff #97 #648)
#639 := (or up_30 up_38)
#642 := (or up_41 #639)
#645 := (or up_40 #642)
#649 := (iff #645 #648)
#650 := [rewrite]: #649
#646 := (iff #97 #645)
#643 := (iff #96 #642)
#640 := (iff #95 #639)
#641 := [rewrite]: #640
#644 := [monotonicity #641]: #643
#647 := [monotonicity #644]: #646
#652 := [trans #647 #650]: #651
#638 := [asserted]: #97
#653 := [mp #638 #652]: #648
#1762 := [unit-resolution #653 #1761 #1751 #1750]: up_40
#1220 := (or #267 #275)
#278 := (or #275 #267)
#1221 := (iff #278 #1220)
#1222 := [rewrite]: #1221
#1218 := [asserted]: #278
#1225 := [mp #1218 #1222]: #1220
#1763 := [unit-resolution #1225 #1762]: #275
#1764 := [unit-resolution #685 #1763 #1738 #1737]: up_34
#1064 := (or #218 #226)
#229 := (or #226 #218)
#1065 := (iff #229 #1064)
#1066 := [rewrite]: #1065
#1062 := [asserted]: #229
#1069 := [mp #1062 #1066]: #1064
#1765 := [unit-resolution #1069 #1760]: #226
#1083 := (or #186 #218)
#233 := (or #218 #186)
#1085 := (iff #233 #1083)
#1086 := [rewrite]: #1085
#1082 := [asserted]: #233
#1089 := [mp #1082 #1086]: #1083
#1766 := [unit-resolution #1089 #1760]: #186
#1767 := [unit-resolution #473 #1766 #1627 #1626]: up_18
#969 := (or #185 #194)
#198 := (or #194 #185)
#971 := (iff #198 #969)
#972 := [rewrite]: #971
#968 := [asserted]: #198
#975 := [mp #968 #972]: #969
#1768 := [unit-resolution #975 #1767]: #194
#1769 := [unit-resolution #579 #1768 #895 #1765]: up_31
#1770 := [unit-resolution #1131 #1769 #1764]: false
#1772 := [lemma #1770]: #1771
#1862 := [unit-resolution #1772 #1627 #1626 #1861 #1860 #1859 #1612]: up_32
#1239 := (or #235 #267)
#282 := (or #267 #235)
#1241 := (iff #282 #1239)
#1242 := [rewrite]: #1241
#1238 := [asserted]: #282
#1245 := [mp #1238 #1242]: #1239
#1863 := [unit-resolution #1245 #1862]: #267
#1856 := (or up_12 up_52 up_49 up_41 up_16 up_8 up_7)
#1828 := [unit-resolution #1772 #1627 #1626 #1751 #1745 #1739 #1612]: up_32
#1829 := [unit-resolution #1245 #1828]: #267
#1830 := [unit-resolution #1230 #1828]: #275
#1826 := (or #170 up_41 up_40 up_16 up_8 up_49 up_12 up_52 up_42)
#1804 := [hypothesis]: up_13
#1805 := [unit-resolution #1026 #1804]: #201
#1806 := [unit-resolution #1021 #1804]: #209
#1798 := [hypothesis]: #275
#1782 := [hypothesis]: #267
#1802 := (or #242 up_42 up_52 up_49 up_41 up_40 up_16 up_8 up_12 up_22)
#1783 := [hypothesis]: up_33
#1784 := [unit-resolution #1126 #1783]: #202
#1785 := [unit-resolution #505 #1784 #1457 #1456]: up_20
#1786 := [unit-resolution #965 #1785]: #185
#1787 := [unit-resolution #473 #1786 #1627 #1626]: up_19
#1078 := (or #186 #227)
#232 := (or #227 #186)
#1080 := (iff #232 #1078)
#1081 := [rewrite]: #1080
#1077 := [asserted]: #232
#1084 := [mp #1077 #1081]: #1078
#1788 := [unit-resolution #1084 #1787]: #227
#1789 := [unit-resolution #653 #1788 #1751 #1782]: up_38
#1790 := [unit-resolution #1165 #1789]: #260
#1780 := (or #337 up_49 up_39)
#1773 := [hypothesis]: up_58
#1774 := [unit-resolution #1418 #1773]: #335
#1775 := [unit-resolution #795 #1774]: up_48
#1776 := [hypothesis]: #260
#1777 := [unit-resolution #1423 #1773]: #301
#1778 := [unit-resolution #727 #1777 #1745 #1776]: up_47
#1779 := [unit-resolution #1284 #1778 #1775]: false
#1781 := [lemma #1779]: #1780
#1791 := [unit-resolution #1781 #1790 #1745]: #337
#1792 := [unit-resolution #819 #1791 #1739]: up_59
#1793 := [unit-resolution #1448 #1792]: #345
#1794 := [unit-resolution #1524 #1793]: up_56
#1795 := [unit-resolution #1373 #1794]: #324
#1796 := [unit-resolution #1516 #1795]: up_46
#1797 := [unit-resolution #1113 #1783]: #243
#1390 := (or #284 #325)
#330 := (or #325 #284)
#1392 := (iff #330 #1390)
#1393 := [rewrite]: #1392
#1389 := [asserted]: #330
#1396 := [mp #1389 #1393]: #1390
#1799 := [unit-resolution #1396 #1794]: #284
#1800 := [unit-resolution #685 #1799 #1798 #1797]: up_44
#1801 := [unit-resolution #1276 #1800 #1796]: false
#1803 := [lemma #1801]: #1802
#1807 := [unit-resolution #1803 #1805 #1739 #1745 #1751 #1782 #1627 #1626 #1457 #1798]: #242
#1808 := [unit-resolution #608 #1807 #1806]: up_35
#1809 := [unit-resolution #1286 #1808]: #283
#1810 := [unit-resolution #1281 #1808]: #291
#1811 := [unit-resolution #1516 #1810]: up_55
#1812 := [unit-resolution #1386 #1811]: #284
#1813 := [unit-resolution #685 #1812 #1798 #1809]: up_34
#1814 := [unit-resolution #1136 #1813]: #202
#1815 := [unit-resolution #505 #1814 #1457 #1805]: up_20
#1816 := [unit-resolution #965 #1815]: #185
#1817 := [unit-resolution #473 #1816 #1627 #1626]: up_19
#1818 := [unit-resolution #1373 #1811]: #325
#1819 := [unit-resolution #1524 #1818]: up_60
#1820 := [unit-resolution #1448 #1819]: #341
#1821 := [unit-resolution #819 #1820 #1739]: up_58
#1822 := [unit-resolution #1781 #1821 #1745]: up_39
#1823 := [unit-resolution #1165 #1822]: #259
#1824 := [unit-resolution #653 #1823 #1751 #1782]: up_30
#1825 := [unit-resolution #1084 #1824 #1817]: false
#1827 := [lemma #1825]: #1826
#1831 := [unit-resolution #1827 #1457 #1829 #1627 #1626 #1745 #1751 #1739 #1830]: #170
#1832 := [unit-resolution #430 #1831]: up_11
#1833 := [unit-resolution #886 #1832]: #160
#1834 := [unit-resolution #410 #1833 #1612]: up_10
#1835 := [unit-resolution #985 #1834]: #185
#1836 := [unit-resolution #473 #1835 #1627 #1626]: up_19
#1837 := [unit-resolution #1084 #1836]: #227
#1838 := [unit-resolution #653 #1837 #1751 #1829]: up_38
#1839 := [unit-resolution #1165 #1838]: #260
#1840 := [unit-resolution #1781 #1839 #1745]: #337
#1841 := [unit-resolution #819 #1840 #1739]: up_59
#1842 := [unit-resolution #1448 #1841]: #345
#1843 := [unit-resolution #1524 #1842]: up_56
#1844 := [unit-resolution #1373 #1843]: #324
#1845 := [unit-resolution #1516 #1844]: up_46
#1846 := [unit-resolution #1281 #1845]: #250
#1847 := [unit-resolution #1396 #1843]: #284
#1848 := [unit-resolution #1276 #1845]: #283
#1849 := [unit-resolution #685 #1848 #1830 #1847]: up_34
#1850 := [unit-resolution #1113 #1849]: #242
#1851 := [unit-resolution #608 #1850 #1846]: up_24
#1852 := [unit-resolution #970 #1834]: #193
#1853 := [unit-resolution #1136 #1849]: #202
#1854 := [unit-resolution #505 #1853 #1457 #1852]: up_22
#1855 := [unit-resolution #1016 #1854 #1851]: false
#1857 := [lemma #1855]: #1856
#1864 := [unit-resolution #1857 #1859 #1860 #1861 #1627 #1626 #1612]: up_12
#1865 := [unit-resolution #891 #1864]: #160
#1866 := [unit-resolution #410 #1865 #1612]: up_10
#1867 := [unit-resolution #985 #1866]: #185
#1868 := [unit-resolution #473 #1867 #1627 #1626]: up_19
#1869 := [unit-resolution #1084 #1868]: #227
#1870 := [unit-resolution #653 #1869 #1861 #1863]: up_38
#1871 := [unit-resolution #1165 #1870]: #260
#1872 := [unit-resolution #1781 #1871 #1860]: #337
#1873 := [unit-resolution #819 #1872 #1859]: up_59
#1874 := [unit-resolution #1448 #1873]: #345
#1875 := [unit-resolution #1524 #1874]: up_56
#1876 := [unit-resolution #1396 #1875]: #284
#1877 := [unit-resolution #1230 #1862]: #275
#1878 := [unit-resolution #1373 #1875]: #324
#1879 := [unit-resolution #1516 #1878]: up_46
#1880 := [unit-resolution #1276 #1879]: #283
#1881 := [unit-resolution #685 #1880 #1877 #1876]: up_34
#1882 := [unit-resolution #878 #1864]: #165
#1883 := [unit-resolution #430 #1882]: up_13
#1884 := [unit-resolution #1021 #1883]: #209
#1885 := [unit-resolution #1281 #1879]: #250
#1886 := [unit-resolution #608 #1885 #1884]: up_33
#1887 := [unit-resolution #1113 #1886 #1881]: false
#1889 := [lemma #1887]: #1888
#2026 := [unit-resolution #1889 #1597 #1612 #1626]: up_16
#908 := (or #172 #177)
#180 := (or #177 #172)
#909 := (iff #180 #908)
#910 := [rewrite]: #909
#906 := [asserted]: #180
#913 := [mp #906 #910]: #908
#2027 := [unit-resolution #913 #2026]: #172
#2028 := [unit-resolution #1508 #2027]: up_15
#2029 := [unit-resolution #1037 #2028]: #214
#1027 := (or #173 #213)
#216 := (or #213 #173)
#1028 := (iff #216 #1027)
#1029 := [rewrite]: #1028
#1025 := [asserted]: #216
#1032 := [mp #1025 #1029]: #1027
#2030 := [unit-resolution #1032 #2028]: #213
#179 := (or #177 #178)
#905 := [asserted]: #179
#2031 := [unit-resolution #905 #2026]: #178
#1917 := (or #226 up_54 up_26 up_17 up_25)
#1890 := [hypothesis]: #214
#1891 := [hypothesis]: #213
#1892 := [hypothesis]: #178
#1893 := [hypothesis]: up_29
#1894 := [unit-resolution #1069 #1893]: #218
#1895 := [unit-resolution #547 #1894 #1892 #1891]: up_28
#1187 := (or #219 #254)
#266 := (or #254 #219)
#1189 := (iff #266 #1187)
#1190 := [rewrite]: #1189
#1186 := [asserted]: #266
#1193 := [mp #1186 #1190]: #1187
#1896 := [unit-resolution #1193 #1895]: #254
#1897 := [unit-resolution #621 #1896 #1890]: up_37
#1898 := [unit-resolution #1297 #1897]: #296
#1899 := [unit-resolution #795 #1898]: up_57
#1900 := [unit-resolution #1418 #1899]: #337
#1901 := [unit-resolution #1188 #1895]: #260
#1287 := (or #255 #295)
#298 := (or #295 #255)
#1288 := (iff #298 #1287)
#1289 := [rewrite]: #1288
#1285 := [asserted]: #298
#1292 := [mp #1285 #1289]: #1287
#1902 := [unit-resolution #1292 #1897]: #295
#1422 := (or #301 #335)
#340 := (or #335 #301)
#1424 := (iff #340 #1422)
#1425 := [rewrite]: #1424
#1421 := [asserted]: #340
#1428 := [mp #1421 #1425]: #1422
#1903 := [unit-resolution #1428 #1899]: #301
#1904 := [unit-resolution #727 #1903 #1902 #1901]: up_49
#1333 := (or #300 #309)
#313 := (or #309 #300)
#1335 := (iff #313 #1333)
#1336 := [rewrite]: #1335
#1332 := [asserted]: #313
#1339 := [mp #1332 #1336]: #1333
#1905 := [unit-resolution #1339 #1904]: #309
#1906 := [unit-resolution #819 #1905 #1900]: up_59
#1907 := [unit-resolution #1448 #1906]: #345
#1908 := [unit-resolution #1524 #1907]: up_56
#1909 := [unit-resolution #1329 #1904]: #308
#1172 := (or #219 #259)
#263 := (or #259 #219)
#1174 := (iff #263 #1172)
#1175 := [rewrite]: #1174
#1171 := [asserted]: #263
#1178 := [mp #1171 #1175]: #1172
#1910 := [unit-resolution #1178 #1895]: #259
#228 := (or #226 #227)
#1061 := [asserted]: #228
#1911 := [unit-resolution #1061 #1893]: #227
#1343 := (or #268 #300)
#315 := (or #300 #268)
#1345 := (iff #315 #1343)
#1346 := [rewrite]: #1345
#1342 := [asserted]: #315
#1349 := [mp #1342 #1346]: #1343
#1912 := [unit-resolution #1349 #1904]: #268
#1913 := [unit-resolution #653 #1912 #1911 #1910]: up_40
#1229 := (or #267 #276)
#280 := (or #276 #267)
#1231 := (iff #280 #1229)
#1232 := [rewrite]: #1231
#1228 := [asserted]: #280
#1235 := [mp #1228 #1232]: #1229
#1914 := [unit-resolution #1235 #1913]: #276
#1915 := [unit-resolution #759 #1914 #1909 #1597]: up_53
#1385 := (or #316 #325)
#329 := (or #325 #316)
#1387 := (iff #329 #1385)
#1388 := [rewrite]: #1387
#1384 := [asserted]: #329
#1391 := [mp #1384 #1388]: #1385
#1916 := [unit-resolution #1391 #1915 #1908]: false
#1918 := [lemma #1916]: #1917
#2032 := [unit-resolution #1918 #1597 #2029 #2031 #2030]: #226
#2010 := (or up_12 up_29 up_7 up_54 up_26)
#1993 := (or up_35 up_12 up_54 up_26 up_29 up_7)
#1955 := (or #170 up_54 up_26 up_29 up_12 up_35 up_7)
#1940 := [unit-resolution #1625 #1805 #907 #1457 #1611 #1612]: up_32
#1941 := [unit-resolution #1240 #1940]: #276
#1942 := [unit-resolution #1230 #1940]: #275
#1943 := [unit-resolution #608 #1806 #1611]: up_33
#1944 := [unit-resolution #1113 #1943]: #243
#1925 := (or #325 up_34 up_42)
#1919 := [hypothesis]: up_56
#1920 := [unit-resolution #1373 #1919]: #324
#1921 := [unit-resolution #1516 #1920]: up_46
#1922 := [unit-resolution #1396 #1919]: #284
#1923 := [unit-resolution #685 #1922 #1605 #1798]: up_44
#1924 := [unit-resolution #1276 #1923 #1921]: false
#1926 := [lemma #1924]: #1925
#1945 := [unit-resolution #1926 #1944 #1942]: #325
#1946 := [unit-resolution #1524 #1945]: up_60
#1947 := [unit-resolution #1448 #1946]: #341
#1938 := (or #308 up_26 up_59)
#1927 := [hypothesis]: up_51
#1928 := [unit-resolution #1329 #1927]: #300
#1929 := [hypothesis]: #341
#1930 := [unit-resolution #1321 #1927]: #309
#1931 := [unit-resolution #819 #1930 #1929]: up_58
#1932 := [unit-resolution #1781 #1931 #1928]: up_39
#1933 := [unit-resolution #1183 #1932]: #254
#1934 := [unit-resolution #1418 #1931]: #335
#1935 := [unit-resolution #795 #1934]: up_48
#1936 := [unit-resolution #1297 #1935]: #255
#1937 := [unit-resolution #621 #1936 #1933 #1890]: false
#1939 := [lemma #1937]: #1938
#1948 := [unit-resolution #1939 #1947 #1890]: #308
#1949 := [unit-resolution #759 #1948 #1941 #1597]: up_53
#1950 := [unit-resolution #1381 #1949]: #324
#1951 := [unit-resolution #1516 #1950]: up_46
#1952 := [unit-resolution #1401 #1949]: #284
#1953 := [unit-resolution #685 #1952 #1944 #1942]: up_44
#1954 := [unit-resolution #1276 #1953 #1951]: false
#1956 := [lemma #1954]: #1955
#1980 := [unit-resolution #1956 #1611 #1890 #907 #1457 #1597 #1612]: #170
#1981 := [unit-resolution #430 #1980]: up_11
#1982 := [unit-resolution #886 #1981]: #160
#1983 := [unit-resolution #410 #1982 #1612]: up_10
#1984 := [unit-resolution #980 #1983]: #194
#1985 := [unit-resolution #1979 #1611 #907 #1984 #1457 #1612]: up_32
#1970 := (or #235 up_34 up_54 up_26)
#1957 := [hypothesis]: up_32
#1958 := [unit-resolution #1240 #1957]: #276
#1959 := [unit-resolution #1230 #1957]: #275
#1960 := [unit-resolution #1926 #1959 #1605]: #325
#1961 := [unit-resolution #1524 #1960]: up_60
#1962 := [unit-resolution #1448 #1961]: #341
#1963 := [unit-resolution #1939 #1962 #1890]: #308
#1964 := [unit-resolution #759 #1963 #1958 #1597]: up_53
#1965 := [unit-resolution #1381 #1964]: #324
#1966 := [unit-resolution #1516 #1965]: up_46
#1967 := [unit-resolution #1401 #1964]: #284
#1968 := [unit-resolution #685 #1967 #1605 #1959]: up_44
#1969 := [unit-resolution #1276 #1968 #1966]: false
#1971 := [lemma #1969]: #1970
#1986 := [unit-resolution #1971 #1985 #1597 #1890]: up_34
#1987 := [unit-resolution #1113 #1986]: #242
#1988 := [unit-resolution #608 #1987 #1611]: up_24
#1989 := [unit-resolution #970 #1983]: #193
#1990 := [unit-resolution #1136 #1986]: #202
#1991 := [unit-resolution #505 #1990 #1457 #1989]: up_22
#1992 := [unit-resolution #1016 #1991 #1988]: false
#1994 := [lemma #1992]: #1993
#1995 := [unit-resolution #1994 #1457 #1597 #1890 #907 #1612]: up_35
#1996 := [unit-resolution #1281 #1995]: #291
#1997 := [unit-resolution #1516 #1996]: up_55
#1998 := [unit-resolution #1373 #1997]: #325
#1999 := [unit-resolution #1524 #1998]: up_60
#2000 := [unit-resolution #1448 #1999]: #341
#2001 := [unit-resolution #1939 #2000 #1890]: #308
#2002 := [unit-resolution #1610 #2001 #1995 #1597]: up_34
#2003 := [unit-resolution #1131 #2002]: #234
#2004 := [unit-resolution #1381 #1997]: #316
#2005 := [unit-resolution #759 #2001 #2004 #1597]: up_43
#2006 := [unit-resolution #1240 #2005]: #235
#2007 := [unit-resolution #1136 #2002]: #202
#2008 := [unit-resolution #1683 #2007 #1612 #1457]: #194
#2009 := [unit-resolution #579 #2008 #2006 #907 #2003]: false
#2011 := [lemma #2009]: #2010
#2033 := [unit-resolution #2011 #2032 #1612 #1597 #2029]: up_12
#2034 := [unit-resolution #891 #2033]: #160
#2035 := [unit-resolution #410 #2034 #1612]: up_10
#2036 := [unit-resolution #980 #2035]: #194
#2037 := [unit-resolution #878 #2033]: #165
#2038 := [unit-resolution #430 #2037]: up_13
#2039 := [unit-resolution #1021 #2038]: #209
#2024 := (or #234 up_26 up_54 up_24)
#2012 := [hypothesis]: #209
#2013 := [hypothesis]: up_31
#2014 := [unit-resolution #1121 #2013]: #242
#2015 := [unit-resolution #608 #2014 #2012]: up_35
#2016 := [unit-resolution #1131 #2013]: #243
#2017 := [unit-resolution #1610 #2016 #2015 #1597]: up_51
#2018 := [unit-resolution #1939 #2017 #1890]: up_59
#2019 := [unit-resolution #1448 #2018]: #345
#2020 := [unit-resolution #1281 #2015]: #291
#2021 := [unit-resolution #1516 #2020]: up_55
#2022 := [unit-resolution #1373 #2021]: #325
#2023 := [unit-resolution #1524 #2022 #2019]: false
#2025 := [lemma #2023]: #2024
#2040 := [unit-resolution #2025 #2029 #1597 #2039]: #234
#2041 := [unit-resolution #579 #2040 #2032 #2036]: up_32
#2042 := [unit-resolution #1240 #2041]: #276
#2043 := [unit-resolution #1971 #2041 #1597 #2029]: up_34
#2044 := [unit-resolution #1113 #2043]: #242
#2045 := [unit-resolution #608 #2044 #2039]: up_35
#2046 := [unit-resolution #1281 #2045]: #291
#2047 := [unit-resolution #1516 #2046]: up_55
#2048 := [unit-resolution #1381 #2047]: #316
#2049 := [unit-resolution #759 #2048 #2042 #1597]: up_51
#2050 := [unit-resolution #1373 #2047]: #325
#2051 := [unit-resolution #1524 #2050]: up_60
#2052 := [unit-resolution #1448 #2051]: #341
#2053 := [unit-resolution #1939 #2052 #2049 #2029]: false
#2055 := [lemma #2053]: #2054
#2065 := [unit-resolution #2055 #1612 #1626]: up_54
#1447 := (or #317 #345)
#347 := (or #345 #317)
#1449 := (iff #347 #1447)
#1450 := [rewrite]: #1449
#1446 := [asserted]: #347
#1453 := [mp #1446 #1450]: #1447
#2066 := [unit-resolution #1453 #2065]: #345
#2067 := [unit-resolution #1524 #2066]: up_56
#2083 := (or #275 up_7 up_12 up_8)
#2063 := [hypothesis]: up_42
#2064 := [unit-resolution #1230 #2063]: #235
#2068 := [unit-resolution #1373 #2067]: #324
#2069 := [unit-resolution #1516 #2068]: up_46
#2070 := [unit-resolution #1281 #2069]: #250
#2071 := [unit-resolution #1672 #2064 #1626 #2070 #1612]: up_16
#2072 := [unit-resolution #913 #2071]: #172
#2073 := [unit-resolution #1508 #2072]: up_15
#2074 := [unit-resolution #1032 #2073]: #213
#2075 := [unit-resolution #905 #2071]: #178
#1452 := (or #317 #341)
#348 := (or #341 #317)
#1454 := (iff #348 #1452)
#1455 := [rewrite]: #1454
#1451 := [asserted]: #348
#1458 := [mp #1451 #1455]: #1452
#2076 := [unit-resolution #1458 #2065]: #341
#2077 := [unit-resolution #1225 #2063]: #267
#2061 := (or #226 up_59 up_40 up_17 up_25)
#2056 := [unit-resolution #653 #1910 #1782 #1911]: up_41
#2057 := [unit-resolution #1349 #2056]: #300
#1338 := (or #268 #309)
#314 := (or #309 #268)
#1340 := (iff #314 #1338)
#1341 := [rewrite]: #1340
#1337 := [asserted]: #314
#1344 := [mp #1337 #1341]: #1338
#2058 := [unit-resolution #1344 #2056]: #309
#2059 := [unit-resolution #819 #2058 #1929]: up_58
#2060 := [unit-resolution #1781 #2059 #2057 #1901]: false
#2062 := [lemma #2060]: #2061
#2078 := [unit-resolution #2062 #2077 #2076 #2075 #2074]: #226
#2079 := [unit-resolution #1625 #2078 #2070 #1457 #2064 #1612]: up_22
#2080 := [unit-resolution #1979 #2078 #2070 #1457 #2064 #1612]: up_21
#2081 := [unit-resolution #1683 #2080 #1612 #1457]: up_23
#2082 := [unit-resolution #983 #2081 #2079]: false
#2084 := [lemma #2082]: #2083
#2085 := [unit-resolution #2084 #1457 #1612 #1626]: #275
#2086 := [unit-resolution #1926 #2085 #2067]: up_34
#2087 := [unit-resolution #1136 #2086]: #202
#2088 := [unit-resolution #1113 #2086]: #242
#2089 := [unit-resolution #608 #2088 #2070]: up_24
#2090 := [unit-resolution #1016 #2089]: #201
#2091 := [unit-resolution #505 #2090 #1457 #2087]: up_20
#2092 := [unit-resolution #970 #2091]: #161
#2093 := [unit-resolution #1021 #2089]: #170
#2094 := [unit-resolution #430 #2093]: up_11
#2095 := [unit-resolution #886 #2094]: #160
#2096 := [unit-resolution #410 #2095 #2092 #1612]: false
#2098 := [lemma #2096]: #2097
#2102 := [unit-resolution #2098 #2100 #2101]: up_12
#2103 := [unit-resolution #891 #2102]: #160
#2104 := [unit-resolution #410 #2103 #2100]: up_10
#2105 := [unit-resolution #980 #2104]: #194
#2106 := [unit-resolution #2055 #2100 #2101]: up_54
#2107 := [unit-resolution #1453 #2106]: #345
#2108 := [unit-resolution #1524 #2107]: up_56
#2109 := [unit-resolution #1373 #2108]: #324
#2110 := [unit-resolution #1516 #2109]: up_46
#2111 := [unit-resolution #1281 #2110]: #250
#2112 := [unit-resolution #878 #2102]: #165
#2113 := [unit-resolution #430 #2112]: up_13
#2114 := [unit-resolution #1021 #2113]: #209
#2115 := [unit-resolution #608 #2114 #2111]: up_33
#2116 := [unit-resolution #1121 #2115]: #234
#2117 := [unit-resolution #1276 #2110]: #283
#2118 := [unit-resolution #1396 #2108]: #284
#2119 := [unit-resolution #1113 #2115]: #243
#2120 := [unit-resolution #685 #2119 #2118 #2117]: up_42
#2121 := [unit-resolution #1230 #2120]: #235
#2122 := [unit-resolution #579 #2121 #2116 #2105]: up_29
#2123 := [unit-resolution #1225 #2120]: #267
#2124 := [unit-resolution #1458 #2106]: #341
#2125 := [unit-resolution #1672 #2121 #2101 #2111 #2100]: up_16
#2126 := [unit-resolution #905 #2125]: #178
#2127 := [unit-resolution #2062 #2126 #2124 #2123 #2122]: up_25
#2128 := [unit-resolution #913 #2125]: #172
#2129 := [unit-resolution #1508 #2128]: up_15
#2130 := [unit-resolution #1032 #2129 #2127]: false
#2131 := [lemma #2130]: #150
#1494 := (or up_5 up_6)
decl up_1 :: bool
#4 := up_1
#379 := (or up_1 up_5 up_6)
#1497 := (iff #379 #1494)
#1491 := (or false up_5 up_6)
#1495 := (iff #1491 #1494)
#1496 := [rewrite]: #1495
#1492 := (iff #379 #1491)
#1467 := (iff up_1 false)
#5 := (not up_1)
#1470 := (iff #5 #1467)
#1463 := (iff #1467 #5)
#1468 := [rewrite]: #1463
#1471 := [symm #1468]: #1470
#368 := [asserted]: #5
#1472 := [mp #368 #1471]: #1467
#1493 := [monotonicity #1472]: #1492
#1498 := [trans #1493 #1496]: #1497
#14 := (or up_6 up_1)
#15 := (or up_5 #14)
#382 := (iff #15 #379)
#373 := (or up_1 up_6)
#376 := (or up_5 #373)
#380 := (iff #376 #379)
#381 := [rewrite]: #380
#377 := (iff #15 #376)
#374 := (iff #14 #373)
#375 := [rewrite]: #374
#378 := [monotonicity #375]: #377
#383 := [trans #378 #381]: #382
#372 := [asserted]: #15
#384 := [mp #372 #383]: #379
#1499 := [mp #384 #1498]: #1494
#2138 := [unit-resolution #1499 #2131]: up_6
#151 := (not up_6)
#927 := (or #151 #172)
#184 := (or #172 #151)
#929 := (iff #184 #927)
#930 := [rewrite]: #929
#926 := [asserted]: #184
#933 := [mp #926 #930]: #927
#2139 := [unit-resolution #933 #2138]: #172
#2140 := [unit-resolution #1508 #2139]: up_15
#2147 := [unit-resolution #1037 #2140]: #214
#2159 := [unit-resolution #2011 #2147]: #2158
#2160 := [unit-resolution #2159 #907 #1612 #1457]: up_54
#2161 := [unit-resolution #1453 #2160]: #345
#2162 := [unit-resolution #1524 #2161]: up_56
#2163 := [unit-resolution #1926 #2162 #2157 #1605]: false
#2165 := [lemma #2163]: #2164
#2166 := [unit-resolution #2165 #1605 #1612 #1611 #1457]: up_29
#2148 := (or #226 up_54)
#2141 := [unit-resolution #1032 #2140]: #213
#922 := (or #151 #178)
#183 := (or #178 #151)
#924 := (iff #183 #922)
#925 := [rewrite]: #924
#921 := [asserted]: #183
#928 := [mp #921 #925]: #922
#2142 := [unit-resolution #928 #2138]: #178
#2149 := [unit-resolution #1918 #2147 #2142 #2141]: #2148
#2167 := [unit-resolution #2149 #2166]: up_54
#2154 := (or #226 up_34 up_59)
#2143 := (or #226 up_59 up_40)
#2144 := [unit-resolution #2062 #2142 #2141]: #2143
#2145 := [unit-resolution #2144 #1893 #1929]: up_40
#2146 := [unit-resolution #1225 #2145]: #275
#2150 := [unit-resolution #2149 #1893]: up_54
#2151 := [unit-resolution #1453 #2150]: #345
#2152 := [unit-resolution #1524 #2151]: up_56
#2153 := [unit-resolution #1926 #2152 #2146 #1605]: false
#2155 := [lemma #2153]: #2154
#2168 := [unit-resolution #2155 #2166 #1605]: up_59
#2169 := [unit-resolution #1458 #2168 #2167]: false
#2171 := [lemma #2169]: #2170
#2172 := [unit-resolution #2171 #1612 #1611 #1457]: up_34
#2173 := [unit-resolution #1136 #2172]: #202
#2174 := [unit-resolution #1113 #2172]: #242
#2175 := [unit-resolution #608 #2174 #1611]: up_24
#2176 := [unit-resolution #1016 #2175]: #201
#2177 := [unit-resolution #505 #2176 #1457 #2173]: up_20
#2178 := [unit-resolution #970 #2177]: #161
#2179 := [unit-resolution #1021 #2175]: #170
#2180 := [unit-resolution #430 #2179]: up_11
#2181 := [unit-resolution #886 #2180]: #160
#2182 := [unit-resolution #410 #2181 #2178 #1612]: false
#2184 := [lemma #2182]: #2183
#2235 := [unit-resolution #2184 #1457 #1611]: up_7
#157 := (or #155 #156)
#856 := [asserted]: #157
#2236 := [unit-resolution #856 #2235]: #156
#2299 := (or up_34 up_35 up_12)
#2283 := (or #186 up_34)
#2185 := [hypothesis]: up_19
#2191 := [unit-resolution #1084 #2185]: #227
#2186 := [unit-resolution #1089 #2185]: #218
#2187 := (or up_27 up_28)
#2188 := [unit-resolution #547 #2142 #2141]: #2187
#2189 := [unit-resolution #2188 #2186]: up_28
#2192 := [unit-resolution #1178 #2189]: #259
#2265 := [unit-resolution #1193 #2189]: #254
#2266 := (or up_36 up_37)
#2267 := [unit-resolution #621 #2147]: #2266
#2268 := [unit-resolution #2267 #2265]: up_37
#2269 := [unit-resolution #1292 #2268]: #295
#2190 := [unit-resolution #1188 #2189]: #260
#2270 := [unit-resolution #1297 #2268]: #296
#2271 := [unit-resolution #795 #2270]: up_57
#2272 := [unit-resolution #1428 #2271]: #301
#2273 := [unit-resolution #727 #2272 #2190 #2269]: up_49
#2274 := [unit-resolution #1349 #2273]: #268
#2275 := [unit-resolution #653 #2274 #2192 #2191]: up_40
#2276 := [unit-resolution #1225 #2275]: #275
#2277 := [unit-resolution #1418 #2271]: #337
#2278 := [unit-resolution #1339 #2273]: #309
#2279 := [unit-resolution #819 #2278 #2277]: up_59
#2280 := [unit-resolution #1448 #2279]: #345
#2281 := [unit-resolution #1524 #2280]: up_56
#2282 := [unit-resolution #1926 #2281 #2276 #1605]: false
#2284 := [lemma #2282]: #2283
#2292 := [unit-resolution #2284 #1605]: #186
#2223 := (or up_8 up_18 up_19)
#912 := (or #151 #177)
#181 := (or #177 #151)
#914 := (iff #181 #912)
#915 := [rewrite]: #914
#911 := [asserted]: #181
#918 := [mp #911 #915]: #912
#2222 := [unit-resolution #918 #2138]: #177
#2224 := [unit-resolution #473 #2222]: #2223
#2293 := [unit-resolution #2224 #2292 #2236]: up_18
#2257 := (or #235 up_34)
#2252 := (or #235 up_34 up_54)
#2253 := [unit-resolution #1971 #2147]: #2252
#2254 := [unit-resolution #2253 #1957 #1605]: up_54
#2255 := [unit-resolution #1453 #2254]: #345
#2256 := [unit-resolution #1524 #2255 #1960]: false
#2258 := [lemma #2256]: #2257
#2294 := [unit-resolution #2258 #1605]: #235
#2290 := (or up_29 up_35 up_32 up_12 #185)
#2200 := [hypothesis]: up_18
#2206 := (or #185 up_29 up_32 up_12 up_22)
#2201 := [unit-resolution #965 #2200]: #193
#2202 := [unit-resolution #505 #2201 #1457 #1456]: up_23
#2203 := [unit-resolution #975 #2200]: #194
#2204 := [unit-resolution #579 #2203 #907 #895]: up_31
#2205 := [unit-resolution #1141 #2204 #2202]: false
#2207 := [lemma #2205]: #2206
#2285 := [unit-resolution #2207 #907 #895 #1457 #2200]: up_22
#2286 := [unit-resolution #1016 #2285]: #209
#2287 := [unit-resolution #579 #907 #895 #2203]: up_31
#2288 := [unit-resolution #1121 #2287]: #242
#2289 := [unit-resolution #608 #2288 #2286 #1611]: false
#2291 := [lemma #2289]: #2290
#2295 := [unit-resolution #2291 #2294 #1611 #1457 #2293]: up_29
#2296 := [unit-resolution #2149 #2295]: up_54
#2297 := [unit-resolution #2155 #2295 #1605]: up_59
#2298 := [unit-resolution #1458 #2297 #2296]: false
#2300 := [lemma #2298]: #2299
#2301 := [unit-resolution #2300 #1457 #1611]: up_34
#2302 := [unit-resolution #1136 #2301]: #202
#2303 := [unit-resolution #1113 #2301]: #242
#2304 := [unit-resolution #608 #2303 #1611]: up_24
#2305 := [unit-resolution #1016 #2304]: #201
#2306 := [unit-resolution #505 #2305 #1457 #2302]: up_20
#2307 := [unit-resolution #965 #2306]: #185
#2308 := [unit-resolution #2224 #2307 #2236]: up_19
#2309 := [unit-resolution #957 #2306]: #194
#2310 := [unit-resolution #1131 #2301]: #234
#2311 := [unit-resolution #1074 #2308]: #226
#2312 := [unit-resolution #579 #2311 #2310 #2309]: up_32
#2313 := [unit-resolution #1245 #2312]: #267
#2198 := (or #186 up_59 up_40)
#2193 := [unit-resolution #653 #2192 #1782 #2191]: up_41
#2194 := [unit-resolution #1349 #2193]: #300
#2195 := [unit-resolution #1344 #2193]: #309
#2196 := [unit-resolution #819 #2195 #1929]: up_58
#2197 := [unit-resolution #1781 #2196 #2194 #2190]: false
#2199 := [lemma #2197]: #2198
#2314 := [unit-resolution #2199 #2313 #2308]: up_59
#2315 := [unit-resolution #1448 #2314]: #345
#2316 := [unit-resolution #1524 #2315]: up_56
#2317 := [unit-resolution #1084 #2308]: #227
#2318 := [unit-resolution #1089 #2308]: #218
#2319 := [unit-resolution #2188 #2318]: up_28
#2320 := [unit-resolution #1178 #2319]: #259
#2321 := [unit-resolution #653 #2313 #2320 #2317]: up_41
#2322 := [unit-resolution #1334 #2321]: #308
#2323 := [unit-resolution #1240 #2312]: #276
#2324 := [unit-resolution #1458 #2314]: #317
#2325 := [unit-resolution #759 #2324 #2323 #2322]: up_53
#2326 := [unit-resolution #1391 #2325 #2316]: false
#2328 := [lemma #2326]: #2327
#2337 := [unit-resolution #2328 #1611]: up_12
#2338 := [unit-resolution #878 #2337]: #165
#2339 := [unit-resolution #430 #2338]: up_13
#2340 := [unit-resolution #1021 #2339]: #209
#2341 := [unit-resolution #608 #2340 #1611]: up_33
#2342 := [unit-resolution #1113 #2341]: #243
#2343 := [unit-resolution #2258 #2342]: #235
#2344 := [unit-resolution #1121 #2341]: #234
#2345 := [unit-resolution #2284 #2342]: #186
#2346 := [unit-resolution #891 #2337]: #160
#2335 := (or #194 up_9 up_19)
#2329 := [hypothesis]: #186
#2330 := [unit-resolution #975 #1674]: #185
#2331 := [unit-resolution #2224 #2330 #2329]: up_8
#2332 := [hypothesis]: #160
#2333 := [unit-resolution #410 #1678 #2332]: up_7
#2334 := [unit-resolution #856 #2333 #2331]: false
#2336 := [lemma #2334]: #2335
#2347 := [unit-resolution #2336 #2346 #2345]: #194
#2348 := [unit-resolution #579 #2347 #2344 #2343]: up_29
#2349 := [unit-resolution #2149 #2348]: up_54
#2350 := [unit-resolution #2155 #2348 #2342]: up_59
#2351 := [unit-resolution #1458 #2350 #2349]: false
#2352 := [lemma #2351]: up_35
#2353 := [unit-resolution #1281 #2352]: #291
#2354 := [unit-resolution #1516 #2353]: up_55
#2355 := [unit-resolution #1373 #2354]: #325
#2356 := [unit-resolution #1524 #2355]: up_60
#2357 := [unit-resolution #1453 #2356]: #317
#2358 := [unit-resolution #2149 #2357]: #226
#2359 := [unit-resolution #1448 #2356]: #341
#2217 := (or #308 up_59)
#2218 := [unit-resolution #1939 #2147]: #2217
#2360 := [unit-resolution #2218 #2359]: #308
#2361 := [unit-resolution #1381 #2354]: #316
#2362 := [unit-resolution #759 #2357 #2361 #2360]: up_43
#2363 := [unit-resolution #1235 #2362]: #267
#2364 := [unit-resolution #2199 #2363 #2359]: #186
#1145 := (or #209 #250)
#252 := (or #250 #209)
#1147 := (iff #252 #1145)
#1148 := [rewrite]: #1147
#1144 := [asserted]: #252
#1151 := [mp #1144 #1148]: #1145
#2365 := [unit-resolution #1151 #2352]: #209
#2230 := (or #234 up_54 up_24)
#2231 := [unit-resolution #2025 #2147]: #2230
#2366 := [unit-resolution #2231 #2357 #2365]: #234
#2367 := [unit-resolution #1240 #2362]: #235
#2368 := [unit-resolution #579 #2367 #2366 #2358]: up_21
#2369 := [unit-resolution #2336 #2368 #2364]: up_9
#870 := (or #155 #160)
#163 := (or #160 #155)
#871 := (iff #163 #870)
#872 := [rewrite]: #871
#868 := [asserted]: #163
#875 := [mp #868 #872]: #870
#2370 := [unit-resolution #875 #2369]: #155
#2371 := [unit-resolution #891 #2369]: #166
[unit-resolution #2159 #2371 #2370 #2358 #2357]: false
unsat
d8841d120b7cf772be783d793f759fb6353b9fcd 78 0
#2 := false
decl up_1 :: (-> int bool)
decl ?x1!0 :: int
#54 := ?x1!0
#55 := (up_1 ?x1!0)
#58 := (not #55)
decl ?x2!1 :: int
#66 := ?x2!1
#67 := (up_1 ?x2!1)
#85 := (or #55 #67)
#88 := (not #85)
#91 := (and #55 #88)
#68 := (or #67 #55)
#69 := (not #68)
#63 := (not #58)
#75 := (and #63 #69)
#92 := (iff #75 #91)
#89 := (iff #69 #88)
#86 := (iff #68 #85)
#87 := [rewrite]: #86
#90 := [monotonicity #87]: #89
#83 := (iff #63 #55)
#84 := [rewrite]: #83
#93 := [monotonicity #84 #90]: #92
#6 := (:var 1 int)
#7 := (up_1 #6)
#4 := (:var 0 int)
#5 := (up_1 #4)
#29 := (or #5 #7)
#32 := (forall (vars (?x2 int)) #29)
#38 := (not #5)
#39 := (or #38 #32)
#44 := (forall (vars (?x1 int)) #39)
#47 := (not #44)
#78 := (~ #47 #75)
#56 := (or #5 #55)
#57 := (forall (vars (?x2 int)) #56)
#59 := (or #58 #57)
#60 := (not #59)
#76 := (~ #60 #75)
#70 := (not #57)
#71 := (~ #70 #69)
#72 := [sk]: #71
#64 := (~ #63 #63)
#65 := [refl]: #64
#77 := [nnf-neg #65 #72]: #76
#61 := (~ #47 #60)
#62 := [sk]: #61
#79 := [trans #62 #77]: #78
#8 := (or #7 #5)
#9 := (forall (vars (?x2 int)) #8)
#10 := (implies #5 #9)
#11 := (forall (vars (?x1 int)) #10)
#12 := (not #11)
#48 := (iff #12 #47)
#45 := (iff #11 #44)
#42 := (iff #10 #39)
#35 := (implies #5 #32)
#40 := (iff #35 #39)
#41 := [rewrite]: #40
#36 := (iff #10 #35)
#33 := (iff #9 #32)
#30 := (iff #8 #29)
#31 := [rewrite]: #30
#34 := [quant-intro #31]: #33
#37 := [monotonicity #34]: #36
#43 := [trans #37 #41]: #42
#46 := [quant-intro #43]: #45
#49 := [monotonicity #46]: #48
#28 := [asserted]: #12
#52 := [mp #28 #49]: #47
#80 := [mp~ #52 #79]: #75
#81 := [mp #80 #93]: #91
#94 := [and-elim #81]: #88
#95 := [not-or-elim #94]: #58
#82 := [and-elim #81]: #55
[unit-resolution #82 #95]: false
unsat
18bde40beb0dd1fc2613a67805e24d767dd9a3bf 135 0
#2 := false
decl up_1 :: (-> T1 T2 bool)
#5 := (:var 0 T2)
decl uf_3 :: T1
#11 := uf_3
#12 := (up_1 uf_3 #5)
#560 := (pattern #12)
#57 := (not #12)
#561 := (forall (vars (?x3 T2)) (:pat #560) #57)
decl uf_4 :: T2
#14 := uf_4
#15 := (up_1 uf_3 uf_4)
decl uf_2 :: T1
#7 := uf_2
#136 := (= uf_2 uf_3)
#543 := (iff #15 #136)
#4 := (:var 1 T1)
#6 := (up_1 #4 #5)
#553 := (pattern #6)
#8 := (= #4 uf_2)
#9 := (iff #6 #8)
#554 := (forall (vars (?x1 T1) (?x2 T2)) (:pat #553) #9)
#10 := (forall (vars (?x1 T1) (?x2 T2)) #9)
#557 := (iff #10 #554)
#555 := (iff #9 #9)
#556 := [refl]: #555
#558 := [quant-intro #556]: #557
#47 := (~ #10 #10)
#45 := (~ #9 #9)
#46 := [refl]: #45
#48 := [nnf-pos #46]: #47
#33 := [asserted]: #10
#49 := [mp~ #33 #48]: #10
#559 := [mp #49 #558]: #554
#227 := (not #554)
#185 := (or #227 #543)
#135 := (= uf_3 uf_2)
#205 := (iff #15 #135)
#528 := (or #227 #205)
#190 := (iff #528 #185)
#192 := (iff #185 #185)
#530 := [rewrite]: #192
#201 := (iff #205 #543)
#223 := (iff #135 #136)
#137 := [rewrite]: #223
#544 := [monotonicity #137]: #201
#191 := [monotonicity #544]: #190
#531 := [trans #191 #530]: #190
#189 := [quant-inst]: #528
#532 := [mp #189 #531]: #185
#539 := [unit-resolution #532 #559]: #543
decl ?x3!0 :: T2
#50 := ?x3!0
#51 := (up_1 uf_3 ?x3!0)
#224 := (iff #51 #136)
#155 := (or #227 #224)
#222 := (iff #51 #135)
#228 := (or #227 #222)
#229 := (iff #228 #155)
#545 := (iff #155 #155)
#547 := [rewrite]: #545
#215 := (iff #222 #224)
#226 := [monotonicity #137]: #215
#208 := [monotonicity #226]: #229
#202 := [trans #208 #547]: #229
#225 := [quant-inst]: #228
#334 := [mp #225 #202]: #155
#537 := [unit-resolution #334 #559]: #224
#541 := (not #224)
#527 := (or #541 #136)
#63 := (not #15)
#540 := [hypothesis]: #63
#68 := (or #15 #51)
#60 := (forall (vars (?x3 T2)) #57)
#69 := (or #63 #60)
#76 := (and #68 #69)
#70 := (and #69 #68)
#77 := (iff #70 #76)
#78 := [rewrite]: #77
#13 := (exists (vars (?x3 T2)) #12)
#35 := (not #13)
#36 := (iff #15 #35)
#71 := (~ #36 #70)
#61 := (~ #35 #60)
#58 := (~ #57 #57)
#59 := [refl]: #58
#62 := [nnf-neg #59]: #61
#54 := (not #35)
#55 := (~ #54 #51)
#42 := (~ #13 #51)
#39 := [sk]: #42
#56 := [nnf-neg #39]: #55
#66 := (~ #15 #15)
#67 := [refl]: #66
#64 := (~ #63 #63)
#65 := [refl]: #64
#72 := [nnf-pos #65 #67 #56 #62]: #71
#16 := (iff #13 #15)
#17 := (not #16)
#37 := (iff #17 #36)
#38 := [rewrite]: #37
#34 := [asserted]: #17
#41 := [mp #34 #38]: #36
#73 := [mp~ #41 #72]: #70
#74 := [mp #73 #78]: #76
#75 := [and-elim #74]: #68
#526 := [unit-resolution #75 #540]: #51
#549 := (not #51)
#550 := (or #541 #549 #136)
#551 := [def-axiom]: #550
#233 := [unit-resolution #551 #526]: #527
#249 := [unit-resolution #233 #537]: #136
#213 := (not #136)
#533 := (not #543)
#250 := (or #533 #213)
#534 := (or #533 #15 #213)
#529 := [def-axiom]: #534
#251 := [unit-resolution #529 #540]: #250
#237 := [unit-resolution #251 #249 #539]: false
#252 := [lemma #237]: #15
#566 := (or #63 #561)
#567 := (iff #69 #566)
#564 := (iff #60 #561)
#562 := (iff #57 #57)
#563 := [refl]: #562
#565 := [quant-intro #563]: #564
#568 := [monotonicity #565]: #567
#79 := [and-elim #74]: #69
#569 := [mp #79 #568]: #566
#535 := [unit-resolution #569 #252]: #561
#536 := (not #561)
#538 := (or #536 #63)
#176 := [quant-inst]: #538
[unit-resolution #176 #252 #535]: false
unsat
013861f683c286a3ef38681266913846a3a39b9a 135 2
#2 := false
decl up_1 :: (-> T1 T2 bool)
#5 := (:var 0 T2)
decl uf_4 :: T1
#18 := uf_4
#19 := (up_1 uf_4 #5)
#635 := (pattern #19)
#116 := (not #19)
#636 := (forall (vars (?x6 T2)) (:pat #635) #116)
decl uf_3 :: T2
#14 := uf_3
#21 := (up_1 uf_4 uf_3)
decl uf_2 :: T1
#7 := uf_2
#195 := (= uf_2 uf_4)
#602 := (iff #21 #195)
#4 := (:var 1 T1)
#6 := (up_1 #4 #5)
#612 := (pattern #6)
#8 := (= #4 uf_2)
#9 := (iff #6 #8)
#613 := (forall (vars (?x1 T1) (?x2 T2)) (:pat #612) #9)
#10 := (forall (vars (?x1 T1) (?x2 T2)) #9)
#616 := (iff #10 #613)
#614 := (iff #9 #9)
#615 := [refl]: #614
#617 := [quant-intro #615]: #616
#56 := (~ #10 #10)
#54 := (~ #9 #9)
#55 := [refl]: #54
#57 := [nnf-pos #55]: #56
#39 := [asserted]: #10
#58 := [mp~ #39 #57]: #10
#618 := [mp #58 #617]: #613
#286 := (not #613)
#244 := (or #286 #602)
#194 := (= uf_4 uf_2)
#264 := (iff #21 #194)
#587 := (or #286 #264)
#249 := (iff #587 #244)
#251 := (iff #244 #244)
#589 := [rewrite]: #251
#260 := (iff #264 #602)
#282 := (iff #194 #195)
#196 := [rewrite]: #282
#603 := [monotonicity #196]: #260
#250 := [monotonicity #603]: #249
#590 := [trans #250 #589]: #249
#248 := [quant-inst]: #587
#591 := [mp #248 #590]: #244
#598 := [unit-resolution #591 #618]: #602
decl ?x6!3 :: T2
#63 := ?x6!3
#64 := (up_1 uf_4 ?x6!3)
#283 := (iff #64 #195)
#214 := (or #286 #283)
#281 := (iff #64 #194)
#287 := (or #286 #281)
#288 := (iff #287 #214)
#604 := (iff #214 #214)
#606 := [rewrite]: #604
#274 := (iff #281 #283)
#285 := [monotonicity #196]: #274
#267 := [monotonicity #285]: #288
#261 := [trans #267 #606]: #288
#284 := [quant-inst]: #287
#393 := [mp #284 #261]: #214
#596 := [unit-resolution #393 #618]: #283
#600 := (not #283)
#586 := (or #600 #195)
#122 := (not #21)
#599 := [hypothesis]: #122
#127 := (or #21 #64)
#119 := (forall (vars (?x6 T2)) #116)
#128 := (or #122 #119)
#135 := (and #127 #128)
#129 := (and #128 #127)
#136 := (iff #129 #135)
#137 := [rewrite]: #136
#20 := (exists (vars (?x6 T2)) #19)
#42 := (not #20)
#43 := (iff #21 #42)
#130 := (~ #43 #129)
#120 := (~ #42 #119)
#117 := (~ #116 #116)
#118 := [refl]: #117
#121 := [nnf-neg #118]: #120
#113 := (not #42)
#114 := (~ #113 #64)
#88 := (~ #20 #64)
#89 := [sk]: #88
#115 := [nnf-neg #89]: #114
#125 := (~ #21 #21)
#126 := [refl]: #125
#123 := (~ #122 #122)
#124 := [refl]: #123
#131 := [nnf-pos #124 #126 #115 #121]: #130
#22 := (iff #20 #21)
#23 := (not #22)
#44 := (iff #23 #43)
#45 := [rewrite]: #44
#41 := [asserted]: #23
#48 := [mp #41 #45]: #43
#132 := [mp~ #48 #131]: #129
#133 := [mp #132 #137]: #135
#134 := [and-elim #133]: #127
#585 := [unit-resolution #134 #599]: #64
#608 := (not #64)
#609 := (or #600 #608 #195)
#610 := [def-axiom]: #609
#292 := [unit-resolution #610 #585]: #586
#308 := [unit-resolution #292 #596]: #195
#272 := (not #195)
#592 := (not #602)
#309 := (or #592 #272)
#593 := (or #592 #21 #272)
#588 := [def-axiom]: #593
#310 := [unit-resolution #588 #599]: #309
#296 := [unit-resolution #310 #308 #598]: false
#311 := [lemma #296]: #21
#641 := (or #122 #636)
#642 := (iff #128 #641)
#639 := (iff #119 #636)
#637 := (iff #116 #116)
#638 := [refl]: #637
#640 := [quant-intro #638]: #639
#643 := [monotonicity #640]: #642
#138 := [and-elim #133]: #128
#644 := [mp #138 #643]: #641
#594 := [unit-resolution #644 #311]: #636
#595 := (not #636)
#597 := (or #595 #122)
#235 := [quant-inst]: #597
[unit-resolution #235 #311 #594]: false
unsat
WARNING: failed to find a pattern for quantifier (quantifier id: k!12)

0e958e27514643bb596851e6dbb61a23f6b348b0 56 0
#2 := false
decl up_1 :: (-> T1 bool)
decl uf_2 :: T1
#4 := uf_2
#5 := (up_1 uf_2)
decl uf_3 :: T1
#13 := uf_3
#14 := (up_1 uf_3)
#34 := (not #5)
#35 := (or #34 #14)
#38 := (not #35)
#15 := (implies #5 #14)
#16 := (not #15)
#39 := (iff #16 #38)
#36 := (iff #15 #35)
#37 := [rewrite]: #36
#40 := [monotonicity #37]: #39
#33 := [asserted]: #16
#43 := [mp #33 #40]: #38
#41 := [not-or-elim #43]: #5
#6 := (:var 0 T1)
#7 := (up_1 #6)
#536 := (pattern #7)
#10 := (not #7)
#537 := (forall (vars (?x2 T1)) (:pat #536) #10)
#11 := (forall (vars (?x2 T1)) #10)
#540 := (iff #11 #537)
#538 := (iff #10 #10)
#539 := [refl]: #538
#541 := [quant-intro #539]: #540
#8 := (exists (vars (?x1 T1)) #7)
#9 := (not #8)
#45 := (~ #9 #11)
#50 := (~ #10 #10)
#51 := [refl]: #50
#59 := [nnf-neg #51]: #45
#12 := (ite #5 #9 #11)
#57 := (iff #12 #9)
#1 := true
#52 := (ite true #9 #11)
#55 := (iff #52 #9)
#56 := [rewrite]: #55
#53 := (iff #12 #52)
#48 := (iff #5 true)
#49 := [iff-true #41]: #48
#54 := [monotonicity #49]: #53
#58 := [trans #54 #56]: #57
#32 := [asserted]: #12
#47 := [mp #32 #58]: #9
#60 := [mp~ #47 #59]: #11
#542 := [mp #60 #541]: #537
#119 := (not #537)
#206 := (or #119 #34)
#120 := [quant-inst]: #206
[unit-resolution #120 #542 #41]: false
unsat
6ecefa4023d224e6c51226d5bee17e2a19cc4333 17 0
#2 := false
#4 := 3::int
#5 := (= 3::int 3::int)
#6 := (not #5)
#30 := (iff #6 false)
#1 := true
#25 := (not true)
#28 := (iff #25 false)
#29 := [rewrite]: #28
#26 := (iff #6 #25)
#23 := (iff #5 true)
#24 := [rewrite]: #23
#27 := [monotonicity #24]: #26
#31 := [trans #27 #29]: #30
#22 := [asserted]: #6
[mp #22 #31]: false
unsat
5e0256133fc82f0e2fea6597b863483e4e61d3c6 17 0
#2 := false
#4 := 3::real
#5 := (= 3::real 3::real)
#6 := (not #5)
#30 := (iff #6 false)
#1 := true
#25 := (not true)
#28 := (iff #25 false)
#29 := [rewrite]: #28
#26 := (iff #6 #25)
#23 := (iff #5 true)
#24 := [rewrite]: #23
#27 := [monotonicity #24]: #26
#31 := [trans #27 #29]: #30
#22 := [asserted]: #6
[mp #22 #31]: false
unsat
55cf32b061b843ac5bcaefb74005a7dd3a24386f 26 0
#2 := false
#7 := 4::int
#5 := 1::int
#4 := 3::int
#6 := (+ 3::int 1::int)
#8 := (= #6 4::int)
#9 := (not #8)
#39 := (iff #9 false)
#1 := true
#34 := (not true)
#37 := (iff #34 false)
#38 := [rewrite]: #37
#35 := (iff #9 #34)
#32 := (iff #8 true)
#27 := (= 4::int 4::int)
#30 := (iff #27 true)
#31 := [rewrite]: #30
#28 := (iff #8 #27)
#26 := [rewrite]: #8
#29 := [monotonicity #26]: #28
#33 := [trans #29 #31]: #32
#36 := [monotonicity #33]: #35
#40 := [trans #36 #38]: #39
#25 := [asserted]: #9
[mp #25 #40]: false
unsat
e81d17ec85af9db5ec6ba5bf4ced62daaa719ef3 41 0
#2 := false
decl uf_1 :: int
#4 := uf_1
decl uf_3 :: int
#6 := uf_3
#9 := (+ uf_3 uf_1)
decl uf_2 :: int
#5 := uf_2
#10 := (+ uf_2 #9)
#7 := (+ uf_2 uf_3)
#8 := (+ uf_1 #7)
#11 := (= #8 #10)
#12 := (not #11)
#51 := (iff #12 false)
#1 := true
#46 := (not true)
#49 := (iff #46 false)
#50 := [rewrite]: #49
#47 := (iff #12 #46)
#44 := (iff #11 true)
#39 := (= #8 #8)
#42 := (iff #39 true)
#43 := [rewrite]: #42
#40 := (iff #11 #39)
#37 := (= #10 #8)
#29 := (+ uf_1 uf_3)
#32 := (+ uf_2 #29)
#35 := (= #32 #8)
#36 := [rewrite]: #35
#33 := (= #10 #32)
#30 := (= #9 #29)
#31 := [rewrite]: #30
#34 := [monotonicity #31]: #33
#38 := [trans #34 #36]: #37
#41 := [monotonicity #38]: #40
#45 := [trans #41 #43]: #44
#48 := [monotonicity #45]: #47
#52 := [trans #48 #50]: #51
#28 := [asserted]: #12
[mp #28 #52]: false
unsat
448f188ebf9d7fbd2920c0a51a8f105192e6af1a 35 0
#2 := false
#5 := 3::int
#6 := 8::int
#7 := (<= 3::int 8::int)
#8 := (ite #7 8::int 3::int)
#4 := 5::int
#9 := (< 5::int #8)
#10 := (not #9)
#50 := (iff #10 false)
#1 := true
#45 := (not true)
#48 := (iff #45 false)
#49 := [rewrite]: #48
#46 := (iff #10 #45)
#43 := (iff #9 true)
#38 := (< 5::int 8::int)
#41 := (iff #38 true)
#42 := [rewrite]: #41
#39 := (iff #9 #38)
#36 := (= #8 8::int)
#31 := (ite true 8::int 3::int)
#34 := (= #31 8::int)
#35 := [rewrite]: #34
#32 := (= #8 #31)
#29 := (iff #7 true)
#30 := [rewrite]: #29
#33 := [monotonicity #30]: #32
#37 := [trans #33 #35]: #36
#40 := [monotonicity #37]: #39
#44 := [trans #40 #42]: #43
#47 := [monotonicity #44]: #46
#51 := [trans #47 #49]: #50
#26 := [asserted]: #10
[mp #26 #51]: false
unsat
c3751ecae7701923f4ba6a90c6c6eee35ee1b13d 250 0
#2 := false
#7 := 0::real
decl uf_2 :: real
#5 := uf_2
#143 := 2::real
#144 := (* 2::real uf_2)
#165 := (<= #144 0::real)
#188 := (not #165)
#88 := (>= uf_2 0::real)
#166 := (or #88 #165)
#191 := (not #166)
decl uf_1 :: real
#4 := uf_1
#76 := (>= uf_1 0::real)
#89 := (not #88)
#146 := (* 2::real uf_1)
#167 := (<= #146 0::real)
#199 := (not #167)
#263 := [hypothesis]: #88
#147 := (+ #146 #144)
#168 := (<= #147 0::real)
#169 := (ite #88 #167 #168)
#194 := (not #169)
#186 := (or #166 #89)
#187 := [def-axiom]: #186
#271 := [unit-resolution #187 #263]: #166
#170 := (ite #76 #166 #169)
#205 := (not #170)
#6 := (+ uf_1 uf_2)
#64 := (>= #6 0::real)
#269 := (or #64 #89)
#65 := (not #64)
#262 := [hypothesis]: #65
#174 := (>= #144 0::real)
#175 := (or #89 #174)
#230 := (not #175)
#257 := [hypothesis]: #230
#225 := (or #175 #88)
#226 := [def-axiom]: #225
#258 := [unit-resolution #226 #257]: #88
#227 := (not #174)
#228 := (or #175 #227)
#229 := [def-axiom]: #228
#259 := [unit-resolution #229 #257]: #227
#260 := [th-lemma #259 #258]: false
#261 := [lemma #260]: #175
#172 := (>= #146 0::real)
#171 := (>= #147 0::real)
#173 := (ite #88 #171 #172)
#176 := (ite #76 #173 #175)
#233 := (not #176)
#264 := (or #64 #233)
#177 := (ite #64 #170 #176)
#182 := (not #177)
#36 := -1::real
#38 := (* -1::real uf_2)
#95 := (ite #88 uf_2 #38)
#107 := (* -1::real #95)
#37 := (* -1::real uf_1)
#83 := (ite #76 uf_1 #37)
#106 := (* -1::real #83)
#108 := (+ #106 #107)
#39 := (+ #37 #38)
#71 := (ite #64 #6 #39)
#109 := (+ #71 #108)
#110 := (<= #109 0::real)
#115 := (not #110)
#183 := (iff #115 #182)
#180 := (iff #110 #177)
#150 := -2::real
#152 := (* -2::real uf_2)
#155 := (ite #88 #152 0::real)
#151 := (* -2::real uf_1)
#153 := (+ #151 #152)
#154 := (ite #88 #153 #151)
#156 := (ite #76 #154 #155)
#148 := (ite #88 #146 #147)
#145 := (ite #88 0::real #144)
#149 := (ite #76 #145 #148)
#157 := (ite #64 #149 #156)
#162 := (<= #157 0::real)
#178 := (iff #162 #177)
#179 := [rewrite]: #178
#163 := (iff #110 #162)
#160 := (= #109 #157)
#133 := (+ uf_1 #38)
#134 := (ite #88 #133 #6)
#131 := (+ #37 uf_2)
#132 := (ite #88 #39 #131)
#135 := (ite #76 #132 #134)
#140 := (+ #71 #135)
#158 := (= #140 #157)
#159 := [rewrite]: #158
#141 := (= #109 #140)
#138 := (= #108 #135)
#125 := (ite #88 #38 uf_2)
#123 := (ite #76 #37 uf_1)
#128 := (+ #123 #125)
#136 := (= #128 #135)
#137 := [rewrite]: #136
#129 := (= #108 #128)
#126 := (= #107 #125)
#127 := [rewrite]: #126
#121 := (= #106 #123)
#124 := [rewrite]: #121
#130 := [monotonicity #124 #127]: #129
#139 := [trans #130 #137]: #138
#142 := [monotonicity #139]: #141
#161 := [trans #142 #159]: #160
#164 := [monotonicity #161]: #163
#181 := [trans #164 #179]: #180
#184 := [monotonicity #181]: #183
#15 := (- uf_2)
#14 := (< uf_2 0::real)
#16 := (ite #14 #15 uf_2)
#12 := (- uf_1)
#11 := (< uf_1 0::real)
#13 := (ite #11 #12 uf_1)
#17 := (+ #13 #16)
#9 := (- #6)
#8 := (< #6 0::real)
#10 := (ite #8 #9 #6)
#18 := (<= #10 #17)
#19 := (not #18)
#118 := (iff #19 #115)
#52 := (ite #14 #38 uf_2)
#47 := (ite #11 #37 uf_1)
#55 := (+ #47 #52)
#42 := (ite #8 #39 #6)
#58 := (<= #42 #55)
#61 := (not #58)
#116 := (iff #61 #115)
#113 := (iff #58 #110)
#100 := (+ #83 #95)
#103 := (<= #71 #100)
#111 := (iff #103 #110)
#112 := [rewrite]: #111
#104 := (iff #58 #103)
#101 := (= #55 #100)
#98 := (= #52 #95)
#92 := (ite #89 #38 uf_2)
#96 := (= #92 #95)
#97 := [rewrite]: #96
#93 := (= #52 #92)
#90 := (iff #14 #89)
#91 := [rewrite]: #90
#94 := [monotonicity #91]: #93
#99 := [trans #94 #97]: #98
#86 := (= #47 #83)
#77 := (not #76)
#80 := (ite #77 #37 uf_1)
#84 := (= #80 #83)
#85 := [rewrite]: #84
#81 := (= #47 #80)
#78 := (iff #11 #77)
#79 := [rewrite]: #78
#82 := [monotonicity #79]: #81
#87 := [trans #82 #85]: #86
#102 := [monotonicity #87 #99]: #101
#74 := (= #42 #71)
#68 := (ite #65 #39 #6)
#72 := (= #68 #71)
#73 := [rewrite]: #72
#69 := (= #42 #68)
#66 := (iff #8 #65)
#67 := [rewrite]: #66
#70 := [monotonicity #67]: #69
#75 := [trans #70 #73]: #74
#105 := [monotonicity #75 #102]: #104
#114 := [trans #105 #112]: #113
#117 := [monotonicity #114]: #116
#62 := (iff #19 #61)
#59 := (iff #18 #58)
#56 := (= #17 #55)
#53 := (= #16 #52)
#50 := (= #15 #38)
#51 := [rewrite]: #50
#54 := [monotonicity #51]: #53
#48 := (= #13 #47)
#45 := (= #12 #37)
#46 := [rewrite]: #45
#49 := [monotonicity #46]: #48
#57 := [monotonicity #49 #54]: #56
#43 := (= #10 #42)
#40 := (= #9 #39)
#41 := [rewrite]: #40
#44 := [monotonicity #41]: #43
#60 := [monotonicity #44 #57]: #59
#63 := [monotonicity #60]: #62
#119 := [trans #63 #117]: #118
#35 := [asserted]: #19
#120 := [mp #35 #119]: #115
#185 := [mp #120 #184]: #182
#248 := (or #177 #64 #233)
#249 := [def-axiom]: #248
#265 := [unit-resolution #249 #185]: #264
#266 := [unit-resolution #265 #262]: #233
#240 := (or #176 #76 #230)
#241 := [def-axiom]: #240
#267 := [unit-resolution #241 #266 #261]: #76
#268 := [th-lemma #267 #263 #262]: false
#270 := [lemma #268]: #269
#272 := [unit-resolution #270 #263]: #64
#273 := (or #65 #205)
#246 := (or #177 #65 #205)
#247 := [def-axiom]: #246
#274 := [unit-resolution #247 #185]: #273
#275 := [unit-resolution #274 #272]: #205
#255 := (or #170 #194 #191)
#250 := [hypothesis]: #169
#251 := [hypothesis]: #205
#252 := [hypothesis]: #166
#210 := (or #170 #77 #191)
#211 := [def-axiom]: #210
#253 := [unit-resolution #211 #251 #252]: #77
#212 := (or #170 #76 #194)
#213 := [def-axiom]: #212
#254 := [unit-resolution #213 #253 #251 #250]: false
#256 := [lemma #254]: #255
#276 := [unit-resolution #256 #275 #271]: #194
#200 := (or #169 #89 #199)
#201 := [def-axiom]: #200
#277 := [unit-resolution #201 #276 #263]: #199
#278 := [unit-resolution #211 #275 #271]: #77
#279 := [th-lemma #278 #277]: false
#280 := [lemma #279]: #89
#281 := [hypothesis]: #77
#282 := [unit-resolution #241 #281 #261]: #176
#283 := [unit-resolution #265 #282]: #64
#284 := [th-lemma #281 #283 #280]: false
#285 := [lemma #284]: #76
#222 := (not #172)
#286 := [hypothesis]: #222
#287 := [th-lemma #285 #286]: false
#288 := [lemma #287]: #172
#223 := (or #173 #88 #222)
#224 := [def-axiom]: #223
#289 := [unit-resolution #224 #288 #280]: #173
#214 := (not #173)
#238 := (or #176 #77 #214)
#239 := [def-axiom]: #238
#290 := [unit-resolution #239 #289 #285]: #176
#291 := [unit-resolution #265 #290]: #64
#292 := [unit-resolution #274 #291]: #205
#293 := [unit-resolution #211 #292 #285]: #191
#189 := (or #166 #188)
#190 := [def-axiom]: #189
#294 := [unit-resolution #190 #293]: #188
[th-lemma #280 #294]: false
unsat
8e6af261ea9f94b967813d4e2f2abcb94463d612 124 0
#2 := false
decl uf_1 :: (-> T1 T2)
decl uf_3 :: T1
#8 := uf_3
#9 := (uf_1 uf_3)
decl uf_2 :: (-> int int T1)
#5 := 3::int
#4 := 2::int
#6 := (uf_2 2::int 3::int)
#7 := (uf_1 #6)
#10 := (= #7 #9)
#225 := (= #6 uf_3)
#13 := (:var 0 int)
#12 := (:var 1 int)
#14 := (uf_2 #12 #13)
#549 := (pattern #14)
#52 := 0::int
#50 := -1::int
#54 := (* -1::int #13)
#55 := (+ #12 #54)
#53 := (>= #55 0::int)
#51 := (not #53)
#36 := (= uf_3 #14)
#61 := (iff #36 #51)
#550 := (forall (vars (?x1 int) (?x2 int)) (:pat #549) #61)
#66 := (forall (vars (?x1 int) (?x2 int)) #61)
#553 := (iff #66 #550)
#551 := (iff #61 #61)
#552 := [refl]: #551
#554 := [quant-intro #552]: #553
#79 := (~ #66 #66)
#77 := (~ #61 #61)
#78 := [refl]: #77
#80 := [nnf-pos #78]: #79
#16 := (< #12 #13)
#15 := (= #14 uf_3)
#17 := (iff #15 #16)
#18 := (forall (vars (?x1 int) (?x2 int)) #17)
#69 := (iff #18 #66)
#42 := (iff #16 #36)
#47 := (forall (vars (?x1 int) (?x2 int)) #42)
#67 := (iff #47 #66)
#64 := (iff #42 #61)
#58 := (iff #51 #36)
#62 := (iff #58 #61)
#63 := [rewrite]: #62
#59 := (iff #42 #58)
#56 := (iff #16 #51)
#57 := [rewrite]: #56
#60 := [monotonicity #57]: #59
#65 := [trans #60 #63]: #64
#68 := [quant-intro #65]: #67
#48 := (iff #18 #47)
#45 := (iff #17 #42)
#39 := (iff #36 #16)
#43 := (iff #39 #42)
#44 := [rewrite]: #43
#40 := (iff #17 #39)
#37 := (iff #15 #36)
#38 := [rewrite]: #37
#41 := [monotonicity #38]: #40
#46 := [trans #41 #44]: #45
#49 := [quant-intro #46]: #48
#70 := [trans #49 #68]: #69
#35 := [asserted]: #18
#71 := [mp #35 #70]: #66
#74 := [mp~ #71 #80]: #66
#555 := [mp #74 #554]: #550
#529 := (not #550)
#530 := (or #529 #225)
#220 := (* -1::int 3::int)
#221 := (+ 2::int #220)
#222 := (>= #221 0::int)
#213 := (not #222)
#135 := (= uf_3 #6)
#224 := (iff #135 #213)
#525 := (or #529 #224)
#169 := (iff #525 #530)
#534 := (iff #530 #530)
#174 := [rewrite]: #534
#527 := (iff #224 #225)
#1 := true
#187 := (iff #225 true)
#190 := (iff #187 #225)
#526 := [rewrite]: #190
#188 := (iff #224 #187)
#183 := (iff #213 true)
#198 := (not false)
#199 := (iff #198 true)
#540 := [rewrite]: #199
#203 := (iff #213 #198)
#548 := (iff #222 false)
#544 := (>= -1::int 0::int)
#547 := (iff #544 false)
#542 := [rewrite]: #547
#545 := (iff #222 #544)
#211 := (= #221 -1::int)
#223 := -3::int
#541 := (+ 2::int -3::int)
#330 := (= #541 -1::int)
#537 := [rewrite]: #330
#543 := (= #221 #541)
#227 := (= #220 -3::int)
#206 := [rewrite]: #227
#200 := [monotonicity #206]: #543
#212 := [trans #200 #537]: #211
#546 := [monotonicity #212]: #545
#538 := [trans #546 #542]: #548
#539 := [monotonicity #538]: #203
#524 := [trans #539 #540]: #183
#153 := (iff #135 #225)
#226 := [rewrite]: #153
#189 := [monotonicity #226 #524]: #188
#528 := [trans #189 #526]: #527
#532 := [monotonicity #528]: #169
#175 := [trans #532 #174]: #169
#531 := [quant-inst]: #525
#535 := [mp #531 #175]: #530
#533 := [unit-resolution #535 #555]: #225
#536 := [monotonicity #533]: #10
#11 := (not #10)
#34 := [asserted]: #11
[unit-resolution #34 #536]: false
unsat
243524c591f6dcfe16a79ddd249c64a337ff3612 54 0
#2 := false
#9 := 1::int
decl uf_1 :: int
#5 := uf_1
#10 := (< uf_1 1::int)
#6 := 3::int
#7 := (+ uf_1 3::int)
#4 := 4::int
#8 := (<= 4::int #7)
#11 := (or #8 #10)
#12 := (not #11)
#66 := (iff #12 false)
#29 := (+ 3::int uf_1)
#32 := (<= 4::int #29)
#38 := (or #10 #32)
#43 := (not #38)
#64 := (iff #43 false)
#1 := true
#59 := (not true)
#62 := (iff #59 false)
#63 := [rewrite]: #62
#60 := (iff #43 #59)
#57 := (iff #38 true)
#48 := (>= uf_1 1::int)
#46 := (not #48)
#52 := (or #46 #48)
#55 := (iff #52 true)
#56 := [rewrite]: #55
#53 := (iff #38 #52)
#50 := (iff #32 #48)
#51 := [rewrite]: #50
#47 := (iff #10 #46)
#49 := [rewrite]: #47
#54 := [monotonicity #49 #51]: #53
#58 := [trans #54 #56]: #57
#61 := [monotonicity #58]: #60
#65 := [trans #61 #63]: #64
#44 := (iff #12 #43)
#41 := (iff #11 #38)
#35 := (or #32 #10)
#39 := (iff #35 #38)
#40 := [rewrite]: #39
#36 := (iff #11 #35)
#33 := (iff #8 #32)
#30 := (= #7 #29)
#31 := [rewrite]: #30
#34 := [monotonicity #31]: #33
#37 := [monotonicity #34]: #36
#42 := [trans #37 #40]: #41
#45 := [monotonicity #42]: #44
#67 := [trans #45 #65]: #66
#28 := [asserted]: #12
[mp #28 #67]: false
unsat
adfe7d6c2da6653191952bd9673c1274f94c2ab2 63 0
#2 := false
#11 := 0::int
decl uf_2 :: int
#7 := uf_2
#42 := -1::int
#45 := (* -1::int uf_2)
decl uf_1 :: int
#5 := uf_1
#46 := (+ uf_1 #45)
#63 := (>= #46 0::int)
#83 := (iff #63 false)
#44 := -4::int
#79 := (>= -4::int 0::int)
#81 := (iff #79 false)
#82 := [rewrite]: #81
#77 := (iff #63 #79)
#47 := (= #46 -4::int)
#8 := 4::int
#9 := (+ uf_1 4::int)
#10 := (= uf_2 #9)
#49 := (iff #10 #47)
#32 := (+ 4::int uf_1)
#39 := (= uf_2 #32)
#43 := (iff #39 #47)
#48 := [rewrite]: #43
#40 := (iff #10 #39)
#37 := (= #9 #32)
#38 := [rewrite]: #37
#41 := [monotonicity #38]: #40
#50 := [trans #41 #48]: #49
#31 := [asserted]: #10
#51 := [mp #31 #50]: #47
#80 := [monotonicity #51]: #77
#84 := [trans #80 #82]: #83
#12 := (- uf_2 uf_1)
#13 := (< 0::int #12)
#14 := (not #13)
#74 := (iff #14 #63)
#53 := (* -1::int uf_1)
#54 := (+ #53 uf_2)
#57 := (< 0::int #54)
#60 := (not #57)
#72 := (iff #60 #63)
#64 := (not #63)
#67 := (not #64)
#70 := (iff #67 #63)
#71 := [rewrite]: #70
#68 := (iff #60 #67)
#65 := (iff #57 #64)
#66 := [rewrite]: #65
#69 := [monotonicity #66]: #68
#73 := [trans #69 #71]: #72
#61 := (iff #14 #60)
#58 := (iff #13 #57)
#55 := (= #12 #54)
#56 := [rewrite]: #55
#59 := [monotonicity #56]: #58
#62 := [monotonicity #59]: #61
#75 := [trans #62 #73]: #74
#52 := [asserted]: #14
#76 := [mp #52 #75]: #63
[mp #76 #84]: false
unsat
3440e29713ba625633b10a2c4fdc186cb6e0cf3e 35 0
#2 := false
#6 := 5::int
#4 := 2::int
#5 := (+ 2::int 2::int)
#7 := (= #5 5::int)
#8 := (not #7)
#9 := (not #8)
#48 := (iff #9 false)
#1 := true
#43 := (not true)
#46 := (iff #43 false)
#47 := [rewrite]: #46
#44 := (iff #9 #43)
#41 := (iff #8 true)
#36 := (not false)
#39 := (iff #36 true)
#40 := [rewrite]: #39
#37 := (iff #8 #36)
#34 := (iff #7 false)
#26 := 4::int
#29 := (= 4::int 5::int)
#32 := (iff #29 false)
#33 := [rewrite]: #32
#30 := (iff #7 #29)
#27 := (= #5 4::int)
#28 := [rewrite]: #27
#31 := [monotonicity #28]: #30
#35 := [trans #31 #33]: #34
#38 := [monotonicity #35]: #37
#42 := [trans #38 #40]: #41
#45 := [monotonicity #42]: #44
#49 := [trans #45 #47]: #48
#25 := [asserted]: #9
[mp #25 #49]: false
unsat
5f3503ae4a43341932052006638f286bea551e87 45 0
#2 := false
#11 := 4::real
decl uf_2 :: real
#8 := uf_2
#7 := 7::real
#9 := (* 7::real uf_2)
decl uf_1 :: real
#5 := uf_1
#4 := 3::real
#6 := (* 3::real uf_1)
#10 := (+ #6 #9)
#41 := (>= #10 4::real)
#39 := (not #41)
#12 := (< #10 4::real)
#40 := (iff #12 #39)
#37 := [rewrite]: #40
#34 := [asserted]: #12
#38 := [mp #34 #37]: #39
#13 := 2::real
#14 := (* 2::real uf_1)
#43 := (<= #14 3::real)
#44 := (not #43)
#15 := (< 3::real #14)
#45 := (iff #15 #44)
#46 := [rewrite]: #45
#35 := [asserted]: #15
#47 := [mp #35 #46]: #44
#16 := 0::real
#51 := (>= uf_2 0::real)
#17 := (< uf_2 0::real)
#18 := (not #17)
#58 := (iff #18 #51)
#49 := (not #51)
#53 := (not #49)
#56 := (iff #53 #51)
#57 := [rewrite]: #56
#54 := (iff #18 #53)
#50 := (iff #17 #49)
#52 := [rewrite]: #50
#55 := [monotonicity #52]: #54
#59 := [trans #55 #57]: #58
#36 := [asserted]: #18
#60 := [mp #36 #59]: #51
[th-lemma #60 #47 #38]: false
unsat
347776ce17d7d3f6d1252ead05795e4eee6f4b20 59 0
#2 := false
#16 := (not false)
decl uf_2 :: int
#8 := uf_2
#4 := 0::int
#12 := (<= 0::int uf_2)
#13 := (not #12)
#14 := (or #13 #12)
#6 := 1::int
#7 := (- 1::int)
#9 := (* #7 uf_2)
decl uf_1 :: int
#5 := uf_1
#10 := (+ uf_1 #9)
#11 := (<= 0::int #10)
#15 := (or #11 #14)
#17 := (iff #15 #16)
#18 := (not #17)
#70 := (iff #18 false)
#1 := true
#65 := (not true)
#68 := (iff #65 false)
#69 := [rewrite]: #68
#66 := (iff #18 #65)
#63 := (iff #17 true)
#58 := (iff true true)
#61 := (iff #58 true)
#62 := [rewrite]: #61
#59 := (iff #17 #58)
#56 := (iff #16 true)
#57 := [rewrite]: #56
#54 := (iff #15 true)
#35 := -1::int
#38 := (* -1::int uf_2)
#41 := (+ uf_1 #38)
#44 := (<= 0::int #41)
#49 := (or #44 true)
#52 := (iff #49 true)
#53 := [rewrite]: #52
#50 := (iff #15 #49)
#47 := (iff #14 true)
#48 := [rewrite]: #47
#45 := (iff #11 #44)
#42 := (= #10 #41)
#39 := (= #9 #38)
#36 := (= #7 -1::int)
#37 := [rewrite]: #36
#40 := [monotonicity #37]: #39
#43 := [monotonicity #40]: #42
#46 := [monotonicity #43]: #45
#51 := [monotonicity #46 #48]: #50
#55 := [trans #51 #53]: #54
#60 := [monotonicity #55 #57]: #59
#64 := [trans #60 #62]: #63
#67 := [monotonicity #64]: #66
#71 := [trans #67 #69]: #70
#34 := [asserted]: #18
[mp #34 #71]: false
unsat
f7b1b99e3470f713e48aaae1336ace10223be6f0 212 0
#2 := false
decl uf_4 :: T1
#13 := uf_4
decl uf_1 :: (-> int int T1)
#5 := 3::int
decl uf_2 :: int
#4 := uf_2
#6 := (uf_1 uf_2 3::int)
#559 := (= #6 uf_4)
decl uf_3 :: (-> int int T1)
#7 := (uf_3 3::int uf_2)
#254 := (= #7 uf_4)
#524 := (iff #254 #559)
#529 := (iff #559 #254)
#39 := (= #6 #7)
#8 := (distinct #6 #7)
#9 := (not #8)
#48 := (iff #9 #39)
#40 := (not #39)
#43 := (not #40)
#46 := (iff #43 #39)
#47 := [rewrite]: #46
#44 := (iff #9 #43)
#41 := (iff #8 #40)
#42 := [rewrite]: #41
#45 := [monotonicity #42]: #44
#49 := [trans #45 #47]: #48
#38 := [asserted]: #9
#52 := [mp #38 #49]: #39
#523 := [monotonicity #52]: #529
#530 := [symm #523]: #524
#547 := (not #559)
#570 := (not #254)
#531 := (iff #570 #547)
#525 := [monotonicity #530]: #531
#540 := [hypothesis]: #570
#532 := [mp #540 #525]: #547
#256 := (>= uf_2 3::int)
#579 := (not #256)
#541 := (or #254 #579)
#258 := (iff #254 #256)
#11 := (:var 0 int)
#10 := (:var 1 int)
#12 := (uf_3 #10 #11)
#581 := (pattern #12)
#57 := 0::int
#54 := -1::int
#55 := (* -1::int #11)
#56 := (+ #10 #55)
#58 := (<= #56 0::int)
#14 := (= #12 uf_4)
#61 := (iff #14 #58)
#582 := (forall (vars (?x1 int) (?x2 int)) (:pat #581) #61)
#64 := (forall (vars (?x1 int) (?x2 int)) #61)
#585 := (iff #64 #582)
#583 := (iff #61 #61)
#584 := [refl]: #583
#586 := [quant-intro #584]: #585
#108 := (~ #64 #64)
#106 := (~ #61 #61)
#107 := [refl]: #106
#109 := [nnf-pos #107]: #108
#15 := (<= #10 #11)
#16 := (iff #14 #15)
#17 := (forall (vars (?x1 int) (?x2 int)) #16)
#65 := (iff #17 #64)
#62 := (iff #16 #61)
#59 := (iff #15 #58)
#60 := [rewrite]: #59
#63 := [monotonicity #60]: #62
#66 := [quant-intro #63]: #65
#50 := [asserted]: #17
#67 := [mp #50 #66]: #64
#101 := [mp~ #67 #109]: #64
#587 := [mp #101 #586]: #582
#238 := (not #582)
#573 := (or #238 #258)
#167 := (* -1::int uf_2)
#252 := (+ 3::int #167)
#253 := (<= #252 0::int)
#245 := (iff #254 #253)
#575 := (or #238 #245)
#362 := (iff #575 #573)
#243 := (iff #573 #573)
#244 := [rewrite]: #243
#255 := (iff #245 #258)
#257 := (iff #253 #256)
#185 := [rewrite]: #257
#259 := [monotonicity #185]: #255
#569 := [monotonicity #259]: #362
#576 := [trans #569 #244]: #362
#232 := [quant-inst]: #575
#577 := [mp #232 #576]: #573
#535 := [unit-resolution #577 #587]: #258
#578 := (not #258)
#574 := (or #578 #254 #579)
#580 := [def-axiom]: #574
#382 := [unit-resolution #580 #535]: #541
#383 := [unit-resolution #382 #540]: #579
#526 := (or #559 #256)
#273 := (iff #559 #579)
#18 := (uf_1 #10 #11)
#588 := (pattern #18)
#82 := (>= #56 0::int)
#81 := (not #82)
#53 := (= uf_4 #18)
#88 := (iff #53 #81)
#589 := (forall (vars (?x3 int) (?x4 int)) (:pat #588) #88)
#93 := (forall (vars (?x3 int) (?x4 int)) #88)
#592 := (iff #93 #589)
#590 := (iff #88 #88)
#591 := [refl]: #590
#593 := [quant-intro #591]: #592
#102 := (~ #93 #93)
#99 := (~ #88 #88)
#110 := [refl]: #99
#103 := [nnf-pos #110]: #102
#20 := (< #10 #11)
#19 := (= #18 uf_4)
#21 := (iff #19 #20)
#22 := (forall (vars (?x3 int) (?x4 int)) #21)
#96 := (iff #22 #93)
#73 := (iff #20 #53)
#78 := (forall (vars (?x3 int) (?x4 int)) #73)
#94 := (iff #78 #93)
#91 := (iff #73 #88)
#85 := (iff #81 #53)
#89 := (iff #85 #88)
#90 := [rewrite]: #89
#86 := (iff #73 #85)
#83 := (iff #20 #81)
#84 := [rewrite]: #83
#87 := [monotonicity #84]: #86
#92 := [trans #87 #90]: #91
#95 := [quant-intro #92]: #94
#79 := (iff #22 #78)
#76 := (iff #21 #73)
#70 := (iff #53 #20)
#74 := (iff #70 #73)
#75 := [rewrite]: #74
#71 := (iff #21 #70)
#68 := (iff #19 #53)
#69 := [rewrite]: #68
#72 := [monotonicity #69]: #71
#77 := [trans #72 #75]: #76
#80 := [quant-intro #77]: #79
#97 := [trans #80 #95]: #96
#51 := [asserted]: #22
#98 := [mp #51 #97]: #93
#111 := [mp~ #98 #103]: #93
#594 := [mp #111 #593]: #589
#552 := (not #589)
#549 := (or #552 #273)
#219 := (* -1::int 3::int)
#220 := (+ uf_2 #219)
#221 := (>= #220 0::int)
#222 := (not #221)
#556 := (= uf_4 #6)
#558 := (iff #556 #222)
#553 := (or #552 #558)
#264 := (iff #553 #549)
#266 := (iff #549 #549)
#544 := [rewrite]: #266
#274 := (iff #558 #273)
#550 := (iff #222 #579)
#280 := (iff #221 #256)
#562 := -3::int
#206 := (+ -3::int uf_2)
#554 := (>= #206 0::int)
#278 := (iff #554 #256)
#279 := [rewrite]: #278
#555 := (iff #221 #554)
#565 := (= #220 #206)
#201 := (+ uf_2 -3::int)
#207 := (= #201 #206)
#567 := [rewrite]: #207
#564 := (= #220 #201)
#557 := (= #219 -3::int)
#563 := [rewrite]: #557
#566 := [monotonicity #563]: #564
#568 := [trans #566 #567]: #565
#277 := [monotonicity #568]: #555
#173 := [trans #277 #279]: #280
#551 := [monotonicity #173]: #550
#560 := (iff #556 #559)
#561 := [rewrite]: #560
#548 := [monotonicity #561 #551]: #274
#265 := [monotonicity #548]: #264
#545 := [trans #265 #544]: #264
#263 := [quant-inst]: #553
#260 := [mp #263 #545]: #549
#384 := [unit-resolution #260 #594]: #273
#542 := (not #273)
#546 := (or #542 #559 #256)
#543 := [def-axiom]: #546
#527 := [unit-resolution #543 #384]: #526
#528 := [unit-resolution #527 #383]: #559
#361 := [unit-resolution #528 #532]: false
#363 := [lemma #361]: #254
#522 := [mp #363 #530]: #559
#364 := (or #570 #256)
#230 := (or #578 #570 #256)
#235 := [def-axiom]: #230
#517 := [unit-resolution #235 #535]: #364
#518 := [unit-resolution #517 #363]: #256
#520 := (or #547 #579)
#536 := (or #542 #547 #579)
#537 := [def-axiom]: #536
#521 := [unit-resolution #537 #384]: #520
#519 := [unit-resolution #521 #518]: #547
[unit-resolution #519 #522]: false
unsat
bf36938883aa38907d4d00c1860a1d18e7b620d0 86 0
#2 := false
decl uf_1 :: int
#5 := uf_1
#7 := 2::int
#29 := (* 2::int uf_1)
#4 := 0::int
#54 := (= 0::int #29)
#55 := (not #54)
#61 := (= #29 0::int)
#104 := (not #61)
#110 := (iff #104 #55)
#108 := (iff #61 #54)
#109 := [commutativity]: #108
#111 := [monotonicity #109]: #110
#62 := (<= #29 0::int)
#100 := (not #62)
#30 := (<= uf_1 0::int)
#31 := (not #30)
#6 := (< 0::int uf_1)
#32 := (iff #6 #31)
#33 := [rewrite]: #32
#27 := [asserted]: #6
#34 := [mp #27 #33]: #31
#101 := (or #100 #30)
#102 := [th-lemma]: #101
#103 := [unit-resolution #102 #34]: #100
#105 := (or #104 #62)
#106 := [th-lemma]: #105
#107 := [unit-resolution #106 #103]: #104
#112 := [mp #107 #111]: #55
#56 := (= uf_1 #29)
#57 := (not #56)
#53 := (= 0::int uf_1)
#50 := (not #53)
#58 := (and #50 #55 #57)
#69 := (not #58)
#42 := (distinct 0::int uf_1 #29)
#47 := (not #42)
#9 := (- uf_1 uf_1)
#8 := (* uf_1 2::int)
#10 := (distinct uf_1 #8 #9)
#11 := (not #10)
#48 := (iff #11 #47)
#45 := (iff #10 #42)
#39 := (distinct uf_1 #29 0::int)
#43 := (iff #39 #42)
#44 := [rewrite]: #43
#40 := (iff #10 #39)
#37 := (= #9 0::int)
#38 := [rewrite]: #37
#35 := (= #8 #29)
#36 := [rewrite]: #35
#41 := [monotonicity #36 #38]: #40
#46 := [trans #41 #44]: #45
#49 := [monotonicity #46]: #48
#28 := [asserted]: #11
#52 := [mp #28 #49]: #47
#80 := (or #42 #69)
#81 := [def-axiom]: #80
#82 := [unit-resolution #81 #52]: #69
#59 := (= uf_1 0::int)
#83 := (not #59)
#89 := (iff #83 #50)
#87 := (iff #59 #53)
#88 := [commutativity]: #87
#90 := [monotonicity #88]: #89
#84 := (or #83 #30)
#85 := [th-lemma]: #84
#86 := [unit-resolution #85 #34]: #83
#91 := [mp #86 #90]: #50
#64 := -1::int
#65 := (* -1::int #29)
#66 := (+ uf_1 #65)
#68 := (>= #66 0::int)
#92 := (not #68)
#93 := (or #92 #30)
#94 := [th-lemma]: #93
#95 := [unit-resolution #94 #34]: #92
#96 := (or #57 #68)
#97 := [th-lemma]: #96
#98 := [unit-resolution #97 #95]: #57
#76 := (or #58 #53 #54 #56)
#77 := [def-axiom]: #76
#99 := [unit-resolution #77 #98 #91 #82]: #54
[unit-resolution #99 #112]: false
unsat
9791139ea2cfda88ae799477fc61e411aab42b18 673 0
#2 := false
#169 := 0::int
decl uf_2 :: int
#5 := uf_2
#166 := -1::int
#202 := (* -1::int uf_2)
decl uf_1 :: int
#4 := uf_1
#203 := (+ uf_1 #202)
#218 := (>= #203 0::int)
decl uf_3 :: int
#7 := uf_3
#167 := (* -1::int uf_3)
#168 := (+ uf_1 #167)
#178 := (>= #168 0::int)
#217 := (not #218)
#204 := (<= #203 0::int)
#205 := (not #204)
#692 := [hypothesis]: #205
#177 := (not #178)
#693 := (or #177 #204)
#170 := (<= #168 0::int)
#191 := (+ uf_2 #167)
#237 := (<= #191 0::int)
#238 := (not #237)
#171 := (not #170)
#685 := [hypothesis]: #171
#190 := (>= #191 0::int)
#455 := (or #170 #190)
#189 := (not #190)
#197 := (and #171 #189)
#354 := (not #197)
#464 := (iff #354 #455)
#456 := (not #455)
#459 := (not #456)
#462 := (iff #459 #455)
#463 := [rewrite]: #462
#460 := (iff #354 #459)
#457 := (iff #197 #456)
#458 := [rewrite]: #457
#461 := [monotonicity #458]: #460
#465 := [trans #461 #463]: #464
#287 := (and #189 #217)
#10 := (= uf_2 uf_3)
#279 := (and #10 #217)
#273 := (and #177 #238)
#15 := (= uf_1 uf_3)
#268 := (and #15 #238)
#17 := (= uf_1 uf_2)
#260 := (and #17 #189)
#252 := (and #205 #238)
#244 := (and #17 #238)
#232 := (and #171 #217)
#224 := (and #15 #217)
#214 := (and #10 #205)
#211 := (and #177 #205)
#208 := (and #15 #205)
#184 := (and #17 #177)
#174 := (and #10 #171)
#115 := (and #10 #17)
#337 := (or #115 #174 #184 #197 #208 #211 #214 #224 #232 #244 #252 #260 #268 #273 #279 #287)
#342 := (not #337)
#21 := (= uf_2 uf_1)
#27 := (= uf_3 uf_2)
#34 := (and #27 #21)
#23 := (< uf_3 uf_1)
#33 := (and #10 #23)
#35 := (or #33 #34)
#12 := (< uf_1 uf_3)
#32 := (and #21 #12)
#36 := (or #32 #35)
#8 := (< uf_2 uf_3)
#31 := (and #8 #23)
#37 := (or #31 #36)
#25 := (= uf_3 uf_1)
#19 := (< uf_2 uf_1)
#30 := (and #19 #25)
#38 := (or #30 #37)
#29 := (and #19 #12)
#39 := (or #29 #38)
#28 := (and #27 #19)
#40 := (or #28 #39)
#6 := (< uf_1 uf_2)
#26 := (and #25 #6)
#41 := (or #26 #40)
#24 := (and #23 #6)
#42 := (or #24 #41)
#13 := (< uf_3 uf_2)
#22 := (and #13 #21)
#43 := (or #22 #42)
#20 := (and #13 #19)
#44 := (or #20 #43)
#18 := (and #17 #8)
#45 := (or #18 #44)
#16 := (and #15 #13)
#46 := (or #16 #45)
#14 := (and #12 #13)
#47 := (or #14 #46)
#11 := (and #6 #10)
#48 := (or #11 #47)
#9 := (and #6 #8)
#49 := (or #9 #48)
#50 := (not #49)
#345 := (iff #50 #342)
#118 := (or #33 #115)
#110 := (and #12 #17)
#121 := (or #110 #118)
#124 := (or #31 #121)
#102 := (and #15 #19)
#127 := (or #102 #124)
#96 := (and #12 #19)
#130 := (or #96 #127)
#93 := (and #10 #19)
#133 := (or #93 #130)
#86 := (and #6 #15)
#136 := (or #86 #133)
#78 := (and #6 #23)
#139 := (or #78 #136)
#75 := (and #13 #17)
#142 := (or #75 #139)
#145 := (or #20 #142)
#70 := (and #8 #17)
#148 := (or #70 #145)
#67 := (and #13 #15)
#151 := (or #67 #148)
#154 := (or #14 #151)
#157 := (or #11 #154)
#160 := (or #9 #157)
#163 := (not #160)
#343 := (iff #163 #342)
#340 := (iff #160 #337)
#292 := (or #174 #115)
#295 := (or #184 #292)
#298 := (or #197 #295)
#301 := (or #208 #298)
#304 := (or #211 #301)
#307 := (or #214 #304)
#310 := (or #224 #307)
#313 := (or #232 #310)
#316 := (or #244 #313)
#319 := (or #252 #316)
#322 := (or #260 #319)
#325 := (or #268 #322)
#328 := (or #273 #325)
#331 := (or #279 #328)
#334 := (or #287 #331)
#338 := (iff #334 #337)
#339 := [rewrite]: #338
#335 := (iff #160 #334)
#332 := (iff #157 #331)
#329 := (iff #154 #328)
#326 := (iff #151 #325)
#323 := (iff #148 #322)
#320 := (iff #145 #319)
#317 := (iff #142 #316)
#314 := (iff #139 #313)
#311 := (iff #136 #310)
#308 := (iff #133 #307)
#305 := (iff #130 #304)
#302 := (iff #127 #301)
#299 := (iff #124 #298)
#296 := (iff #121 #295)
#293 := (iff #118 #292)
#175 := (iff #33 #174)
#172 := (iff #23 #171)
#173 := [rewrite]: #172
#176 := [monotonicity #173]: #175
#294 := [monotonicity #176]: #293
#187 := (iff #110 #184)
#181 := (and #177 #17)
#185 := (iff #181 #184)
#186 := [rewrite]: #185
#182 := (iff #110 #181)
#179 := (iff #12 #177)
#180 := [rewrite]: #179
#183 := [monotonicity #180]: #182
#188 := [trans #183 #186]: #187
#297 := [monotonicity #188 #294]: #296
#200 := (iff #31 #197)
#194 := (and #189 #171)
#198 := (iff #194 #197)
#199 := [rewrite]: #198
#195 := (iff #31 #194)
#192 := (iff #8 #189)
#193 := [rewrite]: #192
#196 := [monotonicity #193 #173]: #195
#201 := [trans #196 #199]: #200
#300 := [monotonicity #201 #297]: #299
#209 := (iff #102 #208)
#206 := (iff #19 #205)
#207 := [rewrite]: #206
#210 := [monotonicity #207]: #209
#303 := [monotonicity #210 #300]: #302
#212 := (iff #96 #211)
#213 := [monotonicity #180 #207]: #212
#306 := [monotonicity #213 #303]: #305
#215 := (iff #93 #214)
#216 := [monotonicity #207]: #215
#309 := [monotonicity #216 #306]: #308
#227 := (iff #86 #224)
#221 := (and #217 #15)
#225 := (iff #221 #224)
#226 := [rewrite]: #225
#222 := (iff #86 #221)
#219 := (iff #6 #217)
#220 := [rewrite]: #219
#223 := [monotonicity #220]: #222
#228 := [trans #223 #226]: #227
#312 := [monotonicity #228 #309]: #311
#235 := (iff #78 #232)
#229 := (and #217 #171)
#233 := (iff #229 #232)
#234 := [rewrite]: #233
#230 := (iff #78 #229)
#231 := [monotonicity #220 #173]: #230
#236 := [trans #231 #234]: #235
#315 := [monotonicity #236 #312]: #314
#247 := (iff #75 #244)
#241 := (and #238 #17)
#245 := (iff #241 #244)
#246 := [rewrite]: #245
#242 := (iff #75 #241)
#239 := (iff #13 #238)
#240 := [rewrite]: #239
#243 := [monotonicity #240]: #242
#248 := [trans #243 #246]: #247
#318 := [monotonicity #248 #315]: #317
#255 := (iff #20 #252)
#249 := (and #238 #205)
#253 := (iff #249 #252)
#254 := [rewrite]: #253
#250 := (iff #20 #249)
#251 := [monotonicity #240 #207]: #250
#256 := [trans #251 #254]: #255
#321 := [monotonicity #256 #318]: #320
#263 := (iff #70 #260)
#257 := (and #189 #17)
#261 := (iff #257 #260)
#262 := [rewrite]: #261
#258 := (iff #70 #257)
#259 := [monotonicity #193]: #258
#264 := [trans #259 #262]: #263
#324 := [monotonicity #264 #321]: #323
#271 := (iff #67 #268)
#265 := (and #238 #15)
#269 := (iff #265 #268)
#270 := [rewrite]: #269
#266 := (iff #67 #265)
#267 := [monotonicity #240]: #266
#272 := [trans #267 #270]: #271
#327 := [monotonicity #272 #324]: #326
#274 := (iff #14 #273)
#275 := [monotonicity #180 #240]: #274
#330 := [monotonicity #275 #327]: #329
#282 := (iff #11 #279)
#276 := (and #217 #10)
#280 := (iff #276 #279)
#281 := [rewrite]: #280
#277 := (iff #11 #276)
#278 := [monotonicity #220]: #277
#283 := [trans #278 #281]: #282
#333 := [monotonicity #283 #330]: #332
#290 := (iff #9 #287)
#284 := (and #217 #189)
#288 := (iff #284 #287)
#289 := [rewrite]: #288
#285 := (iff #9 #284)
#286 := [monotonicity #220 #193]: #285
#291 := [trans #286 #289]: #290
#336 := [monotonicity #291 #333]: #335
#341 := [trans #336 #339]: #340
#344 := [monotonicity #341]: #343
#164 := (iff #50 #163)
#161 := (iff #49 #160)
#158 := (iff #48 #157)
#155 := (iff #47 #154)
#152 := (iff #46 #151)
#149 := (iff #45 #148)
#146 := (iff #44 #145)
#143 := (iff #43 #142)
#140 := (iff #42 #139)
#137 := (iff #41 #136)
#134 := (iff #40 #133)
#131 := (iff #39 #130)
#128 := (iff #38 #127)
#125 := (iff #37 #124)
#122 := (iff #36 #121)
#119 := (iff #35 #118)
#116 := (iff #34 #115)
#73 := (iff #21 #17)
#74 := [rewrite]: #73
#91 := (iff #27 #10)
#92 := [rewrite]: #91
#117 := [monotonicity #92 #74]: #116
#120 := [monotonicity #117]: #119
#113 := (iff #32 #110)
#107 := (and #17 #12)
#111 := (iff #107 #110)
#112 := [rewrite]: #111
#108 := (iff #32 #107)
#109 := [monotonicity #74]: #108
#114 := [trans #109 #112]: #113
#123 := [monotonicity #114 #120]: #122
#126 := [monotonicity #123]: #125
#105 := (iff #30 #102)
#99 := (and #19 #15)
#103 := (iff #99 #102)
#104 := [rewrite]: #103
#100 := (iff #30 #99)
#81 := (iff #25 #15)
#82 := [rewrite]: #81
#101 := [monotonicity #82]: #100
#106 := [trans #101 #104]: #105
#129 := [monotonicity #106 #126]: #128
#97 := (iff #29 #96)
#98 := [rewrite]: #97
#132 := [monotonicity #98 #129]: #131
#94 := (iff #28 #93)
#95 := [monotonicity #92]: #94
#135 := [monotonicity #95 #132]: #134
#89 := (iff #26 #86)
#83 := (and #15 #6)
#87 := (iff #83 #86)
#88 := [rewrite]: #87
#84 := (iff #26 #83)
#85 := [monotonicity #82]: #84
#90 := [trans #85 #88]: #89
#138 := [monotonicity #90 #135]: #137
#79 := (iff #24 #78)
#80 := [rewrite]: #79
#141 := [monotonicity #80 #138]: #140
#76 := (iff #22 #75)
#77 := [monotonicity #74]: #76
#144 := [monotonicity #77 #141]: #143
#147 := [monotonicity #144]: #146
#71 := (iff #18 #70)
#72 := [rewrite]: #71
#150 := [monotonicity #72 #147]: #149
#68 := (iff #16 #67)
#69 := [rewrite]: #68
#153 := [monotonicity #69 #150]: #152
#156 := [monotonicity #153]: #155
#159 := [monotonicity #156]: #158
#162 := [monotonicity #159]: #161
#165 := [monotonicity #162]: #164
#346 := [trans #165 #344]: #345
#66 := [asserted]: #50
#347 := [mp #66 #346]: #342
#355 := [not-or-elim #347]: #354
#466 := [mp #355 #465]: #455
#686 := [unit-resolution #466 #685]: #190
#427 := (or #170 #189 #238)
#350 := (not #174)
#430 := (iff #350 #427)
#382 := (or #189 #238)
#414 := (or #170 #382)
#428 := (iff #414 #427)
#429 := [rewrite]: #428
#425 := (iff #350 #414)
#415 := (not #414)
#420 := (not #415)
#423 := (iff #420 #414)
#424 := [rewrite]: #423
#421 := (iff #350 #420)
#418 := (iff #174 #415)
#380 := (not #382)
#411 := (and #380 #171)
#416 := (iff #411 #415)
#417 := [rewrite]: #416
#412 := (iff #174 #411)
#383 := (iff #10 #380)
#384 := [rewrite]: #383
#413 := [monotonicity #384]: #412
#419 := [trans #413 #417]: #418
#422 := [monotonicity #419]: #421
#426 := [trans #422 #424]: #425
#431 := [trans #426 #429]: #430
#351 := [not-or-elim #347]: #350
#432 := [mp #351 #431]: #427
#687 := [unit-resolution #432 #686 #685]: #238
#549 := (or #170 #218)
#364 := (not #232)
#558 := (iff #364 #549)
#550 := (not #549)
#553 := (not #550)
#556 := (iff #553 #549)
#557 := [rewrite]: #556
#554 := (iff #364 #553)
#551 := (iff #232 #550)
#552 := [rewrite]: #551
#555 := [monotonicity #552]: #554
#559 := [trans #555 #557]: #558
#365 := [not-or-elim #347]: #364
#560 := [mp #365 #559]: #549
#688 := [unit-resolution #560 #685]: #218
#577 := (or #205 #217 #237)
#366 := (not #244)
#580 := (iff #366 #577)
#385 := (or #205 #217)
#564 := (or #237 #385)
#578 := (iff #564 #577)
#579 := [rewrite]: #578
#575 := (iff #366 #564)
#565 := (not #564)
#570 := (not #565)
#573 := (iff #570 #564)
#574 := [rewrite]: #573
#571 := (iff #366 #570)
#568 := (iff #244 #565)
#386 := (not #385)
#561 := (and #386 #238)
#566 := (iff #561 #565)
#567 := [rewrite]: #566
#562 := (iff #244 #561)
#387 := (iff #17 #386)
#388 := [rewrite]: #387
#563 := [monotonicity #388]: #562
#569 := [trans #563 #567]: #568
#572 := [monotonicity #569]: #571
#576 := [trans #572 #574]: #575
#581 := [trans #576 #579]: #580
#367 := [not-or-elim #347]: #366
#582 := [mp #367 #581]: #577
#689 := [unit-resolution #582 #688 #687]: #205
#583 := (or #204 #237)
#368 := (not #252)
#592 := (iff #368 #583)
#584 := (not #583)
#587 := (not #584)
#590 := (iff #587 #583)
#591 := [rewrite]: #590
#588 := (iff #368 #587)
#585 := (iff #252 #584)
#586 := [rewrite]: #585
#589 := [monotonicity #586]: #588
#593 := [trans #589 #591]: #592
#369 := [not-or-elim #347]: #368
#594 := [mp #369 #593]: #583
#690 := [unit-resolution #594 #689 #687]: false
#691 := [lemma #690]: #170
#487 := (or #171 #177 #204)
#356 := (not #208)
#490 := (iff #356 #487)
#467 := (or #171 #177)
#474 := (or #204 #467)
#488 := (iff #474 #487)
#489 := [rewrite]: #488
#485 := (iff #356 #474)
#475 := (not #474)
#480 := (not #475)
#483 := (iff #480 #474)
#484 := [rewrite]: #483
#481 := (iff #356 #480)
#478 := (iff #208 #475)
#468 := (not #467)
#471 := (and #468 #205)
#476 := (iff #471 #475)
#477 := [rewrite]: #476
#472 := (iff #208 #471)
#469 := (iff #15 #468)
#470 := [rewrite]: #469
#473 := [monotonicity #470]: #472
#479 := [trans #473 #477]: #478
#482 := [monotonicity #479]: #481
#486 := [trans #482 #484]: #485
#491 := [trans #486 #489]: #490
#357 := [not-or-elim #347]: #356
#492 := [mp #357 #491]: #487
#694 := [unit-resolution #492 #691]: #693
#695 := [unit-resolution #694 #692]: #177
#493 := (or #178 #204)
#358 := (not #211)
#502 := (iff #358 #493)
#494 := (not #493)
#497 := (not #494)
#500 := (iff #497 #493)
#501 := [rewrite]: #500
#498 := (iff #358 #497)
#495 := (iff #211 #494)
#496 := [rewrite]: #495
#499 := [monotonicity #496]: #498
#503 := [trans #499 #501]: #502
#359 := [not-or-elim #347]: #358
#504 := [mp #359 #503]: #493
#696 := [unit-resolution #504 #695 #692]: false
#697 := [lemma #696]: #204
#698 := [hypothesis]: #177
#449 := (or #178 #205 #217)
#352 := (not #184)
#452 := (iff #352 #449)
#436 := (or #178 #385)
#450 := (iff #436 #449)
#451 := [rewrite]: #450
#447 := (iff #352 #436)
#437 := (not #436)
#442 := (not #437)
#445 := (iff #442 #436)
#446 := [rewrite]: #445
#443 := (iff #352 #442)
#440 := (iff #184 #437)
#433 := (and #386 #177)
#438 := (iff #433 #437)
#439 := [rewrite]: #438
#434 := (iff #184 #433)
#435 := [monotonicity #388]: #434
#441 := [trans #435 #439]: #440
#444 := [monotonicity #441]: #443
#448 := [trans #444 #446]: #447
#453 := [trans #448 #451]: #452
#353 := [not-or-elim #347]: #352
#454 := [mp #353 #453]: #449
#699 := [unit-resolution #454 #698 #697]: #217
#639 := (or #178 #237)
#374 := (not #273)
#648 := (iff #374 #639)
#640 := (not #639)
#643 := (not #640)
#646 := (iff #643 #639)
#647 := [rewrite]: #646
#644 := (iff #374 #643)
#641 := (iff #273 #640)
#642 := [rewrite]: #641
#645 := [monotonicity #642]: #644
#649 := [trans #645 #647]: #648
#375 := [not-or-elim #347]: #374
#650 := [mp #375 #649]: #639
#700 := [unit-resolution #650 #698]: #237
#667 := (or #189 #218 #238)
#376 := (not #279)
#670 := (iff #376 #667)
#654 := (or #218 #382)
#668 := (iff #654 #667)
#669 := [rewrite]: #668
#665 := (iff #376 #654)
#655 := (not #654)
#660 := (not #655)
#663 := (iff #660 #654)
#664 := [rewrite]: #663
#661 := (iff #376 #660)
#658 := (iff #279 #655)
#651 := (and #380 #217)
#656 := (iff #651 #655)
#657 := [rewrite]: #656
#652 := (iff #279 #651)
#653 := [monotonicity #384]: #652
#659 := [trans #653 #657]: #658
#662 := [monotonicity #659]: #661
#666 := [trans #662 #664]: #665
#671 := [trans #666 #669]: #670
#377 := [not-or-elim #347]: #376
#672 := [mp #377 #671]: #667
#701 := [unit-resolution #672 #699 #700]: #189
#673 := (or #190 #218)
#378 := (not #287)
#682 := (iff #378 #673)
#674 := (not #673)
#677 := (not #674)
#680 := (iff #677 #673)
#681 := [rewrite]: #680
#678 := (iff #378 #677)
#675 := (iff #287 #674)
#676 := [rewrite]: #675
#679 := [monotonicity #676]: #678
#683 := [trans #679 #681]: #682
#379 := [not-or-elim #347]: #378
#684 := [mp #379 #683]: #673
#702 := [unit-resolution #684 #701 #699]: false
#703 := [lemma #702]: #178
#704 := (or #177 #218)
#543 := (or #171 #177 #218)
#362 := (not #224)
#546 := (iff #362 #543)
#530 := (or #218 #467)
#544 := (iff #530 #543)
#545 := [rewrite]: #544
#541 := (iff #362 #530)
#531 := (not #530)
#536 := (not #531)
#539 := (iff #536 #530)
#540 := [rewrite]: #539
#537 := (iff #362 #536)
#534 := (iff #224 #531)
#527 := (and #468 #217)
#532 := (iff #527 #531)
#533 := [rewrite]: #532
#528 := (iff #224 #527)
#529 := [monotonicity #470]: #528
#535 := [trans #529 #533]: #534
#538 := [monotonicity #535]: #537
#542 := [trans #538 #540]: #541
#547 := [trans #542 #545]: #546
#363 := [not-or-elim #347]: #362
#548 := [mp #363 #547]: #543
#705 := [unit-resolution #548 #691]: #704
#706 := [unit-resolution #705 #703]: #218
#707 := (or #177 #237)
#633 := (or #171 #177 #237)
#372 := (not #268)
#636 := (iff #372 #633)
#620 := (or #237 #467)
#634 := (iff #620 #633)
#635 := [rewrite]: #634
#631 := (iff #372 #620)
#621 := (not #620)
#626 := (not #621)
#629 := (iff #626 #620)
#630 := [rewrite]: #629
#627 := (iff #372 #626)
#624 := (iff #268 #621)
#617 := (and #468 #238)
#622 := (iff #617 #621)
#623 := [rewrite]: #622
#618 := (iff #268 #617)
#619 := [monotonicity #470]: #618
#625 := [trans #619 #623]: #624
#628 := [monotonicity #625]: #627
#632 := [trans #628 #630]: #631
#637 := [trans #632 #635]: #636
#373 := [not-or-elim #347]: #372
#638 := [mp #373 #637]: #633
#708 := [unit-resolution #638 #691]: #707
#709 := [unit-resolution #708 #703]: #237
#611 := (or #190 #205 #217)
#370 := (not #260)
#614 := (iff #370 #611)
#598 := (or #190 #385)
#612 := (iff #598 #611)
#613 := [rewrite]: #612
#609 := (iff #370 #598)
#599 := (not #598)
#604 := (not #599)
#607 := (iff #604 #598)
#608 := [rewrite]: #607
#605 := (iff #370 #604)
#602 := (iff #260 #599)
#595 := (and #386 #189)
#600 := (iff #595 #599)
#601 := [rewrite]: #600
#596 := (iff #260 #595)
#597 := [monotonicity #388]: #596
#603 := [trans #597 #601]: #602
#606 := [monotonicity #603]: #605
#610 := [trans #606 #608]: #609
#615 := [trans #610 #613]: #614
#371 := [not-or-elim #347]: #370
#616 := [mp #371 #615]: #611
#710 := [unit-resolution #616 #706 #697]: #190
#405 := (or #189 #205 #217 #238)
#348 := (not #115)
#408 := (iff #348 #405)
#392 := (or #382 #385)
#406 := (iff #392 #405)
#407 := [rewrite]: #406
#403 := (iff #348 #392)
#393 := (not #392)
#398 := (not #393)
#401 := (iff #398 #392)
#402 := [rewrite]: #401
#399 := (iff #348 #398)
#396 := (iff #115 #393)
#389 := (and #380 #386)
#394 := (iff #389 #393)
#395 := [rewrite]: #394
#390 := (iff #115 #389)
#391 := [monotonicity #384 #388]: #390
#397 := [trans #391 #395]: #396
#400 := [monotonicity #397]: #399
#404 := [trans #400 #402]: #403
#409 := [trans #404 #407]: #408
#349 := [not-or-elim #347]: #348
#410 := [mp #349 #409]: #405
[unit-resolution #410 #710 #709 #697 #706]: false
unsat
0d07e457c5602ba4a5dc70af32b6dc53a80a858c 2291 0
#2 := false
#6 := 0::int
decl z3name!0 :: int
#647 := z3name!0
#81 := -1::int
#656 := (* -1::int z3name!0)
decl uf_2 :: int
#5 := uf_2
#882 := (+ uf_2 #656)
#883 := (<= #882 0::int)
#885 := (not #883)
#881 := (>= #882 0::int)
#884 := (not #881)
#886 := (or #884 #885)
decl uf_11 :: int
#55 := uf_11
#513 := (* -1::int uf_11)
#514 := (+ uf_2 #513)
#515 := (<= #514 0::int)
decl z3name!5 :: int
#777 := z3name!5
decl uf_7 :: int
#31 := uf_7
#1083 := (+ uf_7 z3name!5)
#1084 := (<= #1083 0::int)
#335 := (>= uf_7 0::int)
#1085 := (>= #1083 0::int)
#1087 := (not #1085)
#1086 := (not #1084)
#1088 := (or #1086 #1087)
#2302 := [hypothesis]: #1086
#1289 := (or #1088 #1084)
#1290 := [def-axiom]: #1289
#2303 := [unit-resolution #1290 #2302]: #1088
#1089 := (not #1088)
#1092 := (or #335 #1089)
#1099 := (not #1092)
#786 := (* -1::int z3name!5)
#1072 := (+ uf_7 #786)
#1073 := (<= #1072 0::int)
#1075 := (not #1073)
#1071 := (>= #1072 0::int)
#1074 := (not #1071)
#1076 := (or #1074 #1075)
#1077 := (not #1076)
#336 := (not #335)
#1080 := (or #336 #1077)
#1098 := (not #1080)
#1100 := (or #1098 #1099)
#1101 := (not #1100)
#318 := (* -1::int uf_7)
#780 := (= z3name!5 #318)
#781 := (or #335 #780)
#778 := (= z3name!5 uf_7)
#779 := (or #336 #778)
#782 := (and #779 #781)
#1104 := (iff #782 #1101)
#1095 := (and #1080 #1092)
#1102 := (iff #1095 #1101)
#1103 := [rewrite]: #1102
#1096 := (iff #782 #1095)
#1093 := (iff #781 #1092)
#1090 := (iff #780 #1089)
#1091 := [rewrite]: #1090
#1094 := [monotonicity #1091]: #1093
#1081 := (iff #779 #1080)
#1078 := (iff #778 #1077)
#1079 := [rewrite]: #1078
#1082 := [monotonicity #1079]: #1081
#1097 := [monotonicity #1082 #1094]: #1096
#1105 := [trans #1097 #1103]: #1104
#783 := [intro-def]: #782
#1106 := [mp #783 #1105]: #1101
#1108 := [not-or-elim #1106]: #1092
#2304 := [unit-resolution #1108 #2303]: #335
decl uf_4 :: int
#13 := uf_4
#194 := (>= uf_4 0::int)
decl uf_10 :: int
#49 := uf_10
#459 := (* -1::int uf_10)
decl uf_3 :: int
#10 := uf_3
#508 := (+ uf_3 #459)
#509 := (>= #508 0::int)
decl z3name!1 :: int
#673 := z3name!1
#682 := (* -1::int z3name!1)
decl uf_1 :: int
#4 := uf_1
#920 := (+ uf_1 #682)
#921 := (<= #920 0::int)
#931 := (+ uf_1 z3name!1)
#933 := (>= #931 0::int)
#935 := (not #933)
#932 := (<= #931 0::int)
#934 := (not #932)
#936 := (or #934 #935)
#937 := (not #936)
#147 := (>= uf_1 0::int)
#148 := (not #147)
#923 := (not #921)
#919 := (>= #920 0::int)
#922 := (not #919)
#924 := (or #922 #923)
#2022 := [hypothesis]: #923
#1237 := (or #924 #921)
#1238 := [def-axiom]: #1237
#2023 := [unit-resolution #1238 #2022]: #924
#925 := (not #924)
#928 := (or #148 #925)
#940 := (or #147 #937)
#947 := (not #940)
#946 := (not #928)
#948 := (or #946 #947)
#949 := (not #948)
#130 := (* -1::int uf_1)
#676 := (= z3name!1 #130)
#677 := (or #147 #676)
#674 := (= z3name!1 uf_1)
#675 := (or #148 #674)
#678 := (and #675 #677)
#952 := (iff #678 #949)
#943 := (and #928 #940)
#950 := (iff #943 #949)
#951 := [rewrite]: #950
#944 := (iff #678 #943)
#941 := (iff #677 #940)
#938 := (iff #676 #937)
#939 := [rewrite]: #938
#942 := [monotonicity #939]: #941
#929 := (iff #675 #928)
#926 := (iff #674 #925)
#927 := [rewrite]: #926
#930 := [monotonicity #927]: #929
#945 := [monotonicity #930 #942]: #944
#953 := [trans #945 #951]: #952
#679 := [intro-def]: #678
#954 := [mp #679 #953]: #949
#955 := [not-or-elim #954]: #928
#2024 := [unit-resolution #955 #2023]: #148
#956 := [not-or-elim #954]: #940
#2025 := [unit-resolution #956 #2024]: #937
#2026 := (or #921 #919)
#2027 := [th-lemma]: #2026
#2028 := [unit-resolution #2027 #2022]: #919
#2029 := (or #922 #147 #935)
#2030 := [th-lemma]: #2029
#2031 := [unit-resolution #2030 #2024 #2028]: #935
#1243 := (or #936 #933)
#1244 := [def-axiom]: #1243
#2032 := [unit-resolution #1244 #2031 #2025]: false
#2033 := [lemma #2032]: #921
decl z3name!7 :: int
#829 := z3name!7
decl uf_9 :: int
#43 := uf_9
#1159 := (+ uf_9 z3name!7)
#1160 := (<= #1159 0::int)
#838 := (* -1::int z3name!7)
#1148 := (+ uf_9 #838)
#1147 := (>= #1148 0::int)
decl z3name!4 :: int
#751 := z3name!4
#760 := (* -1::int z3name!4)
decl uf_6 :: int
#25 := uf_6
#1034 := (+ uf_6 #760)
#1033 := (>= #1034 0::int)
#1035 := (<= #1034 0::int)
#1037 := (not #1035)
#1036 := (not #1033)
#1038 := (or #1036 #1037)
#1039 := (not #1038)
#288 := (>= uf_6 0::int)
#893 := (+ uf_2 z3name!0)
#895 := (>= #893 0::int)
#897 := (not #895)
#894 := (<= #893 0::int)
#896 := (not #894)
#898 := (or #896 #897)
#899 := (not #898)
#100 := (>= uf_2 0::int)
#101 := (not #100)
#1736 := [hypothesis]: #885
#1225 := (or #886 #883)
#1226 := [def-axiom]: #1225
#1737 := [unit-resolution #1226 #1736]: #886
#887 := (not #886)
#890 := (or #101 #887)
#902 := (or #100 #899)
#909 := (not #902)
#908 := (not #890)
#910 := (or #908 #909)
#911 := (not #910)
#82 := (* -1::int uf_2)
#650 := (= z3name!0 #82)
#651 := (or #100 #650)
#648 := (= z3name!0 uf_2)
#649 := (or #101 #648)
#652 := (and #649 #651)
#914 := (iff #652 #911)
#905 := (and #890 #902)
#912 := (iff #905 #911)
#913 := [rewrite]: #912
#906 := (iff #652 #905)
#903 := (iff #651 #902)
#900 := (iff #650 #899)
#901 := [rewrite]: #900
#904 := [monotonicity #901]: #903
#891 := (iff #649 #890)
#888 := (iff #648 #887)
#889 := [rewrite]: #888
#892 := [monotonicity #889]: #891
#907 := [monotonicity #892 #904]: #906
#915 := [trans #907 #913]: #914
#653 := [intro-def]: #652
#916 := [mp #653 #915]: #911
#917 := [not-or-elim #916]: #890
#1738 := [unit-resolution #917 #1737]: #101
#918 := [not-or-elim #916]: #902
#1739 := [unit-resolution #918 #1738]: #899
#1231 := (or #898 #895)
#1232 := [def-axiom]: #1231
#1740 := [unit-resolution #1232 #1739]: #895
#1741 := [th-lemma #1736 #1738 #1740]: false
#1742 := [lemma #1741]: #883
#1149 := (<= #1148 0::int)
#1151 := (not #1149)
#1150 := (not #1147)
#1152 := (or #1150 #1151)
#1153 := (not #1152)
#429 := (>= uf_9 0::int)
decl z3name!6 :: int
#803 := z3name!6
#812 := (* -1::int z3name!6)
decl uf_8 :: int
#37 := uf_8
#1110 := (+ uf_8 #812)
#1111 := (<= #1110 0::int)
#1113 := (not #1111)
#1109 := (>= #1110 0::int)
#1112 := (not #1109)
#1114 := (or #1112 #1113)
#1865 := [hypothesis]: #1113
#1297 := (or #1114 #1111)
#1298 := [def-axiom]: #1297
#1866 := [unit-resolution #1298 #1865]: #1114
#382 := (>= uf_8 0::int)
#1685 := (or #1111 #1109)
#1686 := [th-lemma]: #1685
#1867 := [unit-resolution #1686 #1865]: #1109
#1734 := (or #382 #1112)
#1121 := (+ uf_8 z3name!6)
#1123 := (>= #1121 0::int)
#1125 := (not #1123)
#1122 := (<= #1121 0::int)
#1124 := (not #1122)
#1126 := (or #1124 #1125)
#1127 := (not #1126)
#383 := (not #382)
#1428 := [hypothesis]: #383
#1130 := (or #382 #1127)
#1137 := (not #1130)
#1115 := (not #1114)
#1118 := (or #383 #1115)
#1136 := (not #1118)
#1138 := (or #1136 #1137)
#1139 := (not #1138)
#365 := (* -1::int uf_8)
#806 := (= z3name!6 #365)
#807 := (or #382 #806)
#804 := (= z3name!6 uf_8)
#805 := (or #383 #804)
#808 := (and #805 #807)
#1142 := (iff #808 #1139)
#1133 := (and #1118 #1130)
#1140 := (iff #1133 #1139)
#1141 := [rewrite]: #1140
#1134 := (iff #808 #1133)
#1131 := (iff #807 #1130)
#1128 := (iff #806 #1127)
#1129 := [rewrite]: #1128
#1132 := [monotonicity #1129]: #1131
#1119 := (iff #805 #1118)
#1116 := (iff #804 #1115)
#1117 := [rewrite]: #1116
#1120 := [monotonicity #1117]: #1119
#1135 := [monotonicity #1120 #1132]: #1134
#1143 := [trans #1135 #1141]: #1142
#809 := [intro-def]: #808
#1144 := [mp #809 #1143]: #1139
#1146 := [not-or-elim #1144]: #1130
#1729 := [unit-resolution #1146 #1428]: #1127
#1637 := [hypothesis]: #1109
#1730 := (or #1112 #1125 #382)
#1731 := [th-lemma]: #1730
#1732 := [unit-resolution #1731 #1428 #1637]: #1125
#1303 := (or #1126 #1123)
#1304 := [def-axiom]: #1303
#1733 := [unit-resolution #1304 #1732 #1729]: false
#1735 := [lemma #1733]: #1734
#1868 := [unit-resolution #1735 #1867]: #382
#1145 := [not-or-elim #1144]: #1118
#1869 := [unit-resolution #1145 #1868 #1866]: false
#1870 := [lemma #1869]: #1111
#289 := (not #288)
#1405 := [hypothesis]: #289
#1688 := (or #288 #429 #1113)
#815 := (+ uf_9 #812)
#818 := (+ uf_7 #815)
#825 := (>= #818 0::int)
#389 := (ite #382 uf_8 #365)
#400 := (* -1::int #389)
#401 := (+ uf_9 #400)
#402 := (+ uf_7 #401)
#599 := (>= #402 0::int)
#826 := (= #599 #825)
#819 := (~ #402 #818)
#816 := (~ #401 #815)
#813 := (~ #400 #812)
#810 := (~ #389 z3name!6)
#811 := [apply-def #809]: #810
#814 := [monotonicity #811]: #813
#817 := [monotonicity #814]: #816
#820 := [monotonicity #817]: #819
#827 := [monotonicity #820]: #826
#601 := (not #599)
#598 := (<= #402 0::int)
#600 := (not #598)
#602 := (or #600 #601)
#603 := (not #602)
#403 := (= #402 0::int)
#604 := (iff #403 #603)
#605 := [rewrite]: #604
#45 := (- uf_8)
#44 := (< uf_8 0::int)
#46 := (ite #44 #45 uf_8)
#47 := (- #46 uf_7)
#48 := (= uf_9 #47)
#408 := (iff #48 #403)
#368 := (ite #44 #365 uf_8)
#374 := (+ #318 #368)
#379 := (= uf_9 #374)
#406 := (iff #379 #403)
#394 := (+ #318 #389)
#397 := (= uf_9 #394)
#404 := (iff #397 #403)
#405 := [rewrite]: #404
#398 := (iff #379 #397)
#395 := (= #374 #394)
#392 := (= #368 #389)
#386 := (ite #383 #365 uf_8)
#390 := (= #386 #389)
#391 := [rewrite]: #390
#387 := (= #368 #386)
#384 := (iff #44 #383)
#385 := [rewrite]: #384
#388 := [monotonicity #385]: #387
#393 := [trans #388 #391]: #392
#396 := [monotonicity #393]: #395
#399 := [monotonicity #396]: #398
#407 := [trans #399 #405]: #406
#380 := (iff #48 #379)
#377 := (= #47 #374)
#371 := (- #368 uf_7)
#375 := (= #371 #374)
#376 := [rewrite]: #375
#372 := (= #47 #371)
#369 := (= #46 #368)
#366 := (= #45 #365)
#367 := [rewrite]: #366
#370 := [monotonicity #367]: #369
#373 := [monotonicity #370]: #372
#378 := [trans #373 #376]: #377
#381 := [monotonicity #378]: #380
#409 := [trans #381 #407]: #408
#364 := [asserted]: #48
#410 := [mp #364 #409]: #403
#606 := [mp #410 #605]: #603
#608 := [not-or-elim #606]: #599
#828 := [mp~ #608 #827]: #825
#1441 := [hypothesis]: #1075
#1285 := (or #1076 #1073)
#1286 := [def-axiom]: #1285
#1442 := [unit-resolution #1286 #1441]: #1076
#1107 := [not-or-elim #1106]: #1080
#1443 := [unit-resolution #1107 #1442]: #336
#1444 := [unit-resolution #1108 #1443]: #1089
#1291 := (or #1088 #1085)
#1292 := [def-axiom]: #1291
#1445 := [unit-resolution #1292 #1444]: #1085
#1446 := [th-lemma #1441 #1445 #1443]: false
#1447 := [lemma #1446]: #1073
#789 := (+ uf_8 #786)
#792 := (+ uf_6 #789)
#799 := (>= #792 0::int)
#342 := (ite #335 uf_7 #318)
#353 := (* -1::int #342)
#354 := (+ uf_8 #353)
#355 := (+ uf_6 #354)
#588 := (>= #355 0::int)
#800 := (= #588 #799)
#793 := (~ #355 #792)
#790 := (~ #354 #789)
#787 := (~ #353 #786)
#784 := (~ #342 z3name!5)
#785 := [apply-def #783]: #784
#788 := [monotonicity #785]: #787
#791 := [monotonicity #788]: #790
#794 := [monotonicity #791]: #793
#801 := [monotonicity #794]: #800
#590 := (not #588)
#587 := (<= #355 0::int)
#589 := (not #587)
#591 := (or #589 #590)
#592 := (not #591)
#356 := (= #355 0::int)
#593 := (iff #356 #592)
#594 := [rewrite]: #593
#39 := (- uf_7)
#38 := (< uf_7 0::int)
#40 := (ite #38 #39 uf_7)
#41 := (- #40 uf_6)
#42 := (= uf_8 #41)
#361 := (iff #42 #356)
#321 := (ite #38 #318 uf_7)
#271 := (* -1::int uf_6)
#327 := (+ #271 #321)
#332 := (= uf_8 #327)
#359 := (iff #332 #356)
#347 := (+ #271 #342)
#350 := (= uf_8 #347)
#357 := (iff #350 #356)
#358 := [rewrite]: #357
#351 := (iff #332 #350)
#348 := (= #327 #347)
#345 := (= #321 #342)
#339 := (ite #336 #318 uf_7)
#343 := (= #339 #342)
#344 := [rewrite]: #343
#340 := (= #321 #339)
#337 := (iff #38 #336)
#338 := [rewrite]: #337
#341 := [monotonicity #338]: #340
#346 := [trans #341 #344]: #345
#349 := [monotonicity #346]: #348
#352 := [monotonicity #349]: #351
#360 := [trans #352 #358]: #359
#333 := (iff #42 #332)
#330 := (= #41 #327)
#324 := (- #321 uf_6)
#328 := (= #324 #327)
#329 := [rewrite]: #328
#325 := (= #41 #324)
#322 := (= #40 #321)
#319 := (= #39 #318)
#320 := [rewrite]: #319
#323 := [monotonicity #320]: #322
#326 := [monotonicity #323]: #325
#331 := [trans #326 #329]: #330
#334 := [monotonicity #331]: #333
#362 := [trans #334 #360]: #361
#317 := [asserted]: #42
#363 := [mp #317 #362]: #356
#595 := [mp #363 #594]: #592
#597 := [not-or-elim #595]: #588
#802 := [mp~ #597 #801]: #799
#1343 := (not #825)
#1350 := (not #799)
#1351 := (or #288 #1075 #1350 #429 #1113 #1343)
#1352 := [th-lemma]: #1351
#1689 := [unit-resolution #1352 #802 #1447 #828]: #1688
#2046 := [unit-resolution #1689 #1405 #1870]: #429
#430 := (not #429)
#1156 := (or #430 #1153)
#1161 := (>= #1159 0::int)
#1163 := (not #1161)
#1162 := (not #1160)
#1164 := (or #1162 #1163)
#1165 := (not #1164)
#1168 := (or #429 #1165)
#1175 := (not #1168)
#1174 := (not #1156)
#1176 := (or #1174 #1175)
#1177 := (not #1176)
#412 := (* -1::int uf_9)
#832 := (= z3name!7 #412)
#833 := (or #429 #832)
#830 := (= z3name!7 uf_9)
#831 := (or #430 #830)
#834 := (and #831 #833)
#1180 := (iff #834 #1177)
#1171 := (and #1156 #1168)
#1178 := (iff #1171 #1177)
#1179 := [rewrite]: #1178
#1172 := (iff #834 #1171)
#1169 := (iff #833 #1168)
#1166 := (iff #832 #1165)
#1167 := [rewrite]: #1166
#1170 := [monotonicity #1167]: #1169
#1157 := (iff #831 #1156)
#1154 := (iff #830 #1153)
#1155 := [rewrite]: #1154
#1158 := [monotonicity #1155]: #1157
#1173 := [monotonicity #1158 #1170]: #1172
#1181 := [trans #1173 #1179]: #1180
#835 := [intro-def]: #834
#1182 := [mp #835 #1181]: #1177
#1183 := [not-or-elim #1182]: #1156
#2047 := [unit-resolution #1183 #2046]: #1153
#1307 := (or #1152 #1147)
#1308 := [def-axiom]: #1307
#2112 := [unit-resolution #1308 #2047]: #1147
#2009 := (or #288 #382)
#1998 := (or #1036 #288)
#1045 := (+ uf_6 z3name!4)
#1047 := (>= #1045 0::int)
#1049 := (not #1047)
#1046 := (<= #1045 0::int)
#1048 := (not #1046)
#1050 := (or #1048 #1049)
#1460 := [hypothesis]: #1049
#1279 := (or #1050 #1047)
#1280 := [def-axiom]: #1279
#1461 := [unit-resolution #1280 #1460]: #1050
#1464 := (or #1047 #289)
#1051 := (not #1050)
#1448 := [hypothesis]: #1037
#1273 := (or #1038 #1035)
#1274 := [def-axiom]: #1273
#1449 := [unit-resolution #1274 #1448]: #1038
#1042 := (or #289 #1039)
#1054 := (or #288 #1051)
#1061 := (not #1054)
#1060 := (not #1042)
#1062 := (or #1060 #1061)
#1063 := (not #1062)
#754 := (= z3name!4 #271)
#755 := (or #288 #754)
#752 := (= z3name!4 uf_6)
#753 := (or #289 #752)
#756 := (and #753 #755)
#1066 := (iff #756 #1063)
#1057 := (and #1042 #1054)
#1064 := (iff #1057 #1063)
#1065 := [rewrite]: #1064
#1058 := (iff #756 #1057)
#1055 := (iff #755 #1054)
#1052 := (iff #754 #1051)
#1053 := [rewrite]: #1052
#1056 := [monotonicity #1053]: #1055
#1043 := (iff #753 #1042)
#1040 := (iff #752 #1039)
#1041 := [rewrite]: #1040
#1044 := [monotonicity #1041]: #1043
#1059 := [monotonicity #1044 #1056]: #1058
#1067 := [trans #1059 #1065]: #1066
#757 := [intro-def]: #756
#1068 := [mp #757 #1067]: #1063
#1069 := [not-or-elim #1068]: #1042
#1450 := [unit-resolution #1069 #1449]: #289
#1070 := [not-or-elim #1068]: #1054
#1451 := [unit-resolution #1070 #1450]: #1051
#1452 := (or #1035 #1033)
#1453 := [th-lemma]: #1452
#1454 := [unit-resolution #1453 #1448]: #1033
#1455 := (or #1036 #288 #1049)
#1456 := [th-lemma]: #1455
#1457 := [unit-resolution #1456 #1450 #1454]: #1049
#1458 := [unit-resolution #1280 #1457 #1451]: false
#1459 := [lemma #1458]: #1035
#1462 := (or #1047 #1037 #289)
#1463 := [th-lemma]: #1462
#1465 := [unit-resolution #1463 #1459]: #1464
#1466 := [unit-resolution #1465 #1460]: #289
#1467 := [unit-resolution #1070 #1466 #1461]: false
#1468 := [lemma #1467]: #1047
#1999 := [unit-resolution #1456 #1468]: #1998
#2000 := [unit-resolution #1999 #1405]: #1036
#1407 := [unit-resolution #1070 #1405]: #1051
#1277 := (or #1050 #1046)
#1278 := [def-axiom]: #1277
#1497 := [unit-resolution #1278 #1407]: #1046
#2001 := (or #336 #1048 #1033 #382 #1350 #1075)
#2002 := [th-lemma]: #2001
#2003 := [unit-resolution #2002 #1497 #2000 #1447 #802 #1428]: #336
#2004 := (or #1087 #1075 #1048 #1033 #382 #1350)
#2005 := [th-lemma]: #2004
#2006 := [unit-resolution #2005 #1497 #1447 #2000 #802 #1428]: #1087
#2007 := [unit-resolution #1292 #2006]: #1088
#2008 := [unit-resolution #1108 #2007 #2003]: false
#2010 := [lemma #2008]: #2009
#2113 := [unit-resolution #2010 #1405]: #382
#2114 := [unit-resolution #1145 #2113]: #1115
#1295 := (or #1114 #1109)
#1296 := [def-axiom]: #1295
#2115 := [unit-resolution #1296 #2114]: #1109
decl z3name!2 :: int
#699 := z3name!2
#708 := (* -1::int z3name!2)
#958 := (+ uf_4 #708)
#957 := (>= #958 0::int)
#959 := (<= #958 0::int)
#961 := (not #959)
#960 := (not #957)
#962 := (or #960 #961)
#963 := (not #962)
decl uf_5 :: int
#19 := uf_5
#241 := (>= uf_5 0::int)
#242 := (not #241)
#1406 := [hypothesis]: #242
#1579 := (or #1048 #241)
#516 := (>= #514 0::int)
#476 := (>= uf_10 0::int)
#477 := (not #476)
#1484 := (or #382 #241)
#1430 := (or #382 #241 #1075 #1037)
#1421 := [hypothesis]: #1035
#1427 := [hypothesis]: #1073
#763 := (+ uf_7 #760)
#766 := (+ uf_5 #763)
#773 := (>= #766 0::int)
#295 := (ite #288 uf_6 #271)
#306 := (* -1::int #295)
#307 := (+ uf_7 #306)
#308 := (+ uf_5 #307)
#577 := (>= #308 0::int)
#774 := (= #577 #773)
#767 := (~ #308 #766)
#764 := (~ #307 #763)
#761 := (~ #306 #760)
#758 := (~ #295 z3name!4)
#759 := [apply-def #757]: #758
#762 := [monotonicity #759]: #761
#765 := [monotonicity #762]: #764
#768 := [monotonicity #765]: #767
#775 := [monotonicity #768]: #774
#579 := (not #577)
#576 := (<= #308 0::int)
#578 := (not #576)
#580 := (or #578 #579)
#581 := (not #580)
#309 := (= #308 0::int)
#582 := (iff #309 #581)
#583 := [rewrite]: #582
#33 := (- uf_6)
#32 := (< uf_6 0::int)
#34 := (ite #32 #33 uf_6)
#35 := (- #34 uf_5)
#36 := (= uf_7 #35)
#314 := (iff #36 #309)
#274 := (ite #32 #271 uf_6)
#224 := (* -1::int uf_5)
#280 := (+ #224 #274)
#285 := (= uf_7 #280)
#312 := (iff #285 #309)
#300 := (+ #224 #295)
#303 := (= uf_7 #300)
#310 := (iff #303 #309)
#311 := [rewrite]: #310
#304 := (iff #285 #303)
#301 := (= #280 #300)
#298 := (= #274 #295)
#292 := (ite #289 #271 uf_6)
#296 := (= #292 #295)
#297 := [rewrite]: #296
#293 := (= #274 #292)
#290 := (iff #32 #289)
#291 := [rewrite]: #290
#294 := [monotonicity #291]: #293
#299 := [trans #294 #297]: #298
#302 := [monotonicity #299]: #301
#305 := [monotonicity #302]: #304
#313 := [trans #305 #311]: #312
#286 := (iff #36 #285)
#283 := (= #35 #280)
#277 := (- #274 uf_5)
#281 := (= #277 #280)
#282 := [rewrite]: #281
#278 := (= #35 #277)
#275 := (= #34 #274)
#272 := (= #33 #271)
#273 := [rewrite]: #272
#276 := [monotonicity #273]: #275
#279 := [monotonicity #276]: #278
#284 := [trans #279 #282]: #283
#287 := [monotonicity #284]: #286
#315 := [trans #287 #313]: #314
#270 := [asserted]: #36
#316 := [mp #270 #315]: #309
#584 := [mp #316 #583]: #581
#586 := [not-or-elim #584]: #577
#776 := [mp~ #586 #775]: #773
#1429 := [th-lemma #776 #1406 #1428 #1427 #802 #1421]: false
#1431 := [lemma #1429]: #1430
#1485 := [unit-resolution #1431 #1447 #1459]: #1484
#1486 := [unit-resolution #1485 #1406]: #382
#1487 := [unit-resolution #1145 #1486]: #1115
#1496 := [unit-resolution #1298 #1487]: #1111
#1545 := [hypothesis]: #1046
#1548 := (or #1048 #1113 #429)
#1546 := (or #1048 #1113 #429 #1343 #1075 #1350 #1037)
#1547 := [th-lemma]: #1546
#1549 := [unit-resolution #1547 #1447 #802 #1459 #828]: #1548
#1550 := [unit-resolution #1549 #1545 #1496]: #429
#1551 := [unit-resolution #1183 #1550]: #1153
#1552 := [unit-resolution #1308 #1551]: #1147
#1543 := (or #477 #241 #1150)
#1488 := [unit-resolution #1296 #1487]: #1109
#821 := (<= #818 0::int)
#822 := (= #598 #821)
#823 := [monotonicity #820]: #822
#607 := [not-or-elim #606]: #598
#824 := [mp~ #607 #823]: #821
#841 := (+ uf_10 #838)
#844 := (+ uf_8 #841)
#847 := (<= #844 0::int)
#436 := (ite #429 uf_9 #412)
#447 := (* -1::int #436)
#448 := (+ uf_10 #447)
#449 := (+ uf_8 #448)
#609 := (<= #449 0::int)
#848 := (= #609 #847)
#845 := (~ #449 #844)
#842 := (~ #448 #841)
#839 := (~ #447 #838)
#836 := (~ #436 z3name!7)
#837 := [apply-def #835]: #836
#840 := [monotonicity #837]: #839
#843 := [monotonicity #840]: #842
#846 := [monotonicity #843]: #845
#849 := [monotonicity #846]: #848
#610 := (>= #449 0::int)
#612 := (not #610)
#611 := (not #609)
#613 := (or #611 #612)
#614 := (not #613)
#450 := (= #449 0::int)
#615 := (iff #450 #614)
#616 := [rewrite]: #615
#51 := (- uf_9)
#50 := (< uf_9 0::int)
#52 := (ite #50 #51 uf_9)
#53 := (- #52 uf_8)
#54 := (= uf_10 #53)
#455 := (iff #54 #450)
#415 := (ite #50 #412 uf_9)
#421 := (+ #365 #415)
#426 := (= uf_10 #421)
#453 := (iff #426 #450)
#441 := (+ #365 #436)
#444 := (= uf_10 #441)
#451 := (iff #444 #450)
#452 := [rewrite]: #451
#445 := (iff #426 #444)
#442 := (= #421 #441)
#439 := (= #415 #436)
#433 := (ite #430 #412 uf_9)
#437 := (= #433 #436)
#438 := [rewrite]: #437
#434 := (= #415 #433)
#431 := (iff #50 #430)
#432 := [rewrite]: #431
#435 := [monotonicity #432]: #434
#440 := [trans #435 #438]: #439
#443 := [monotonicity #440]: #442
#446 := [monotonicity #443]: #445
#454 := [trans #446 #452]: #453
#427 := (iff #54 #426)
#424 := (= #53 #421)
#418 := (- #415 uf_8)
#422 := (= #418 #421)
#423 := [rewrite]: #422
#419 := (= #53 #418)
#416 := (= #52 #415)
#413 := (= #51 #412)
#414 := [rewrite]: #413
#417 := [monotonicity #414]: #416
#420 := [monotonicity #417]: #419
#425 := [trans #420 #423]: #424
#428 := [monotonicity #425]: #427
#456 := [trans #428 #454]: #455
#411 := [asserted]: #54
#457 := [mp #411 #456]: #450
#617 := [mp #457 #616]: #614
#618 := [not-or-elim #617]: #609
#850 := [mp~ #618 #849]: #847
#1540 := [hypothesis]: #1147
#1541 := [hypothesis]: #476
#1542 := [th-lemma #1468 #1406 #1541 #1540 #850 #824 #1488 #776 #1459]: false
#1544 := [lemma #1542]: #1543
#1553 := [unit-resolution #1544 #1552 #1406]: #477
#851 := (>= #844 0::int)
#852 := (= #610 #851)
#853 := [monotonicity #846]: #852
#619 := [not-or-elim #617]: #610
#854 := [mp~ #619 #853]: #851
#1309 := (or #1152 #1149)
#1310 := [def-axiom]: #1309
#1554 := [unit-resolution #1310 #1551]: #1149
#769 := (<= #766 0::int)
#770 := (= #576 #769)
#771 := [monotonicity #768]: #770
#585 := [not-or-elim #584]: #576
#772 := [mp~ #585 #771]: #769
decl z3name!3 :: int
#725 := z3name!3
#1007 := (+ uf_5 z3name!3)
#1009 := (>= #1007 0::int)
#1011 := (not #1009)
#1398 := [hypothesis]: #1011
#734 := (* -1::int z3name!3)
#996 := (+ uf_5 #734)
#997 := (<= #996 0::int)
#999 := (not #997)
#995 := (>= #996 0::int)
#998 := (not #995)
#1000 := (or #998 #999)
#1001 := (not #1000)
#1008 := (<= #1007 0::int)
#1010 := (not #1008)
#1012 := (or #1010 #1011)
#1267 := (or #1012 #1009)
#1268 := [def-axiom]: #1267
#1399 := [unit-resolution #1268 #1398]: #1012
#1013 := (not #1012)
#1016 := (or #241 #1013)
#1023 := (not #1016)
#1004 := (or #242 #1001)
#1022 := (not #1004)
#1024 := (or #1022 #1023)
#1025 := (not #1024)
#728 := (= z3name!3 #224)
#729 := (or #241 #728)
#726 := (= z3name!3 uf_5)
#727 := (or #242 #726)
#730 := (and #727 #729)
#1028 := (iff #730 #1025)
#1019 := (and #1004 #1016)
#1026 := (iff #1019 #1025)
#1027 := [rewrite]: #1026
#1020 := (iff #730 #1019)
#1017 := (iff #729 #1016)
#1014 := (iff #728 #1013)
#1015 := [rewrite]: #1014
#1018 := [monotonicity #1015]: #1017
#1005 := (iff #727 #1004)
#1002 := (iff #726 #1001)
#1003 := [rewrite]: #1002
#1006 := [monotonicity #1003]: #1005
#1021 := [monotonicity #1006 #1018]: #1020
#1029 := [trans #1021 #1027]: #1028
#731 := [intro-def]: #730
#1030 := [mp #731 #1029]: #1025
#1032 := [not-or-elim #1030]: #1016
#1400 := [unit-resolution #1032 #1399]: #241
#1031 := [not-or-elim #1030]: #1004
#1401 := [unit-resolution #1031 #1400]: #1001
#1261 := (or #1000 #997)
#1262 := [def-axiom]: #1261
#1402 := [unit-resolution #1262 #1401]: #997
#1403 := [th-lemma #1400 #1402 #1398]: false
#1404 := [lemma #1403]: #1009
#737 := (+ uf_6 #734)
#740 := (+ uf_4 #737)
#747 := (>= #740 0::int)
#248 := (ite #241 uf_5 #224)
#259 := (* -1::int #248)
#260 := (+ uf_6 #259)
#261 := (+ uf_4 #260)
#566 := (>= #261 0::int)
#748 := (= #566 #747)
#741 := (~ #261 #740)
#738 := (~ #260 #737)
#735 := (~ #259 #734)
#732 := (~ #248 z3name!3)
#733 := [apply-def #731]: #732
#736 := [monotonicity #733]: #735
#739 := [monotonicity #736]: #738
#742 := [monotonicity #739]: #741
#749 := [monotonicity #742]: #748
#568 := (not #566)
#565 := (<= #261 0::int)
#567 := (not #565)
#569 := (or #567 #568)
#570 := (not #569)
#262 := (= #261 0::int)
#571 := (iff #262 #570)
#572 := [rewrite]: #571
#27 := (- uf_5)
#26 := (< uf_5 0::int)
#28 := (ite #26 #27 uf_5)
#29 := (- #28 uf_4)
#30 := (= uf_6 #29)
#267 := (iff #30 #262)
#227 := (ite #26 #224 uf_5)
#177 := (* -1::int uf_4)
#233 := (+ #177 #227)
#238 := (= uf_6 #233)
#265 := (iff #238 #262)
#253 := (+ #177 #248)
#256 := (= uf_6 #253)
#263 := (iff #256 #262)
#264 := [rewrite]: #263
#257 := (iff #238 #256)
#254 := (= #233 #253)
#251 := (= #227 #248)
#245 := (ite #242 #224 uf_5)
#249 := (= #245 #248)
#250 := [rewrite]: #249
#246 := (= #227 #245)
#243 := (iff #26 #242)
#244 := [rewrite]: #243
#247 := [monotonicity #244]: #246
#252 := [trans #247 #250]: #251
#255 := [monotonicity #252]: #254
#258 := [monotonicity #255]: #257
#266 := [trans #258 #264]: #265
#239 := (iff #30 #238)
#236 := (= #29 #233)
#230 := (- #227 uf_4)
#234 := (= #230 #233)
#235 := [rewrite]: #234
#231 := (= #29 #230)
#228 := (= #28 #227)
#225 := (= #27 #224)
#226 := [rewrite]: #225
#229 := [monotonicity #226]: #228
#232 := [monotonicity #229]: #231
#237 := [trans #232 #235]: #236
#240 := [monotonicity #237]: #239
#268 := [trans #240 #266]: #267
#223 := [asserted]: #30
#269 := [mp #223 #268]: #262
#573 := [mp #269 #572]: #570
#575 := [not-or-elim #573]: #566
#750 := [mp~ #575 #749]: #747
#1364 := (not #747)
#1357 := (not #769)
#1337 := (not #851)
#1555 := (or #194 #476 #1151 #1337 #1343 #1113 #1048 #1357 #1364 #1011)
#1556 := [th-lemma]: #1555
#1557 := [unit-resolution #1556 #1545 #750 #1404 #772 #1496 #828 #1554 #854 #1553]: #194
#195 := (not #194)
#966 := (or #195 #963)
#969 := (+ uf_4 z3name!2)
#971 := (>= #969 0::int)
#973 := (not #971)
#970 := (<= #969 0::int)
#972 := (not #970)
#974 := (or #972 #973)
#975 := (not #974)
#978 := (or #194 #975)
#985 := (not #978)
#984 := (not #966)
#986 := (or #984 #985)
#987 := (not #986)
#702 := (= z3name!2 #177)
#703 := (or #194 #702)
#700 := (= z3name!2 uf_4)
#701 := (or #195 #700)
#704 := (and #701 #703)
#990 := (iff #704 #987)
#981 := (and #966 #978)
#988 := (iff #981 #987)
#989 := [rewrite]: #988
#982 := (iff #704 #981)
#979 := (iff #703 #978)
#976 := (iff #702 #975)
#977 := [rewrite]: #976
#980 := [monotonicity #977]: #979
#967 := (iff #701 #966)
#964 := (iff #700 #963)
#965 := [rewrite]: #964
#968 := [monotonicity #965]: #967
#983 := [monotonicity #968 #980]: #982
#991 := [trans #983 #989]: #990
#705 := [intro-def]: #704
#992 := [mp #705 #991]: #987
#993 := [not-or-elim #992]: #966
#1558 := [unit-resolution #993 #1557]: #963
#1249 := (or #962 #959)
#1250 := [def-axiom]: #1249
#1559 := [unit-resolution #1250 #1558]: #959
decl z3name!8 :: int
#855 := z3name!8
#864 := (* -1::int z3name!8)
#867 := (+ uf_11 #864)
#870 := (+ uf_9 #867)
#873 := (<= #870 0::int)
#483 := (ite #476 uf_10 #459)
#494 := (* -1::int #483)
#495 := (+ uf_11 #494)
#496 := (+ uf_9 #495)
#620 := (<= #496 0::int)
#874 := (= #620 #873)
#871 := (~ #496 #870)
#868 := (~ #495 #867)
#865 := (~ #494 #864)
#862 := (~ #483 z3name!8)
#858 := (= z3name!8 #459)
#859 := (or #476 #858)
#856 := (= z3name!8 uf_10)
#857 := (or #477 #856)
#860 := (and #857 #859)
#861 := [intro-def]: #860
#863 := [apply-def #861]: #862
#866 := [monotonicity #863]: #865
#869 := [monotonicity #866]: #868
#872 := [monotonicity #869]: #871
#875 := [monotonicity #872]: #874
#621 := (>= #496 0::int)
#623 := (not #621)
#622 := (not #620)
#624 := (or #622 #623)
#625 := (not #624)
#497 := (= #496 0::int)
#626 := (iff #497 #625)
#627 := [rewrite]: #626
#57 := (- uf_10)
#56 := (< uf_10 0::int)
#58 := (ite #56 #57 uf_10)
#59 := (- #58 uf_9)
#60 := (= uf_11 #59)
#502 := (iff #60 #497)
#462 := (ite #56 #459 uf_10)
#468 := (+ #412 #462)
#473 := (= uf_11 #468)
#500 := (iff #473 #497)
#488 := (+ #412 #483)
#491 := (= uf_11 #488)
#498 := (iff #491 #497)
#499 := [rewrite]: #498
#492 := (iff #473 #491)
#489 := (= #468 #488)
#486 := (= #462 #483)
#480 := (ite #477 #459 uf_10)
#484 := (= #480 #483)
#485 := [rewrite]: #484
#481 := (= #462 #480)
#478 := (iff #56 #477)
#479 := [rewrite]: #478
#482 := [monotonicity #479]: #481
#487 := [trans #482 #485]: #486
#490 := [monotonicity #487]: #489
#493 := [monotonicity #490]: #492
#501 := [trans #493 #499]: #500
#474 := (iff #60 #473)
#471 := (= #59 #468)
#465 := (- #462 uf_9)
#469 := (= #465 #468)
#470 := [rewrite]: #469
#466 := (= #59 #465)
#463 := (= #58 #462)
#460 := (= #57 #459)
#461 := [rewrite]: #460
#464 := [monotonicity #461]: #463
#467 := [monotonicity #464]: #466
#472 := [trans #467 #470]: #471
#475 := [monotonicity #472]: #474
#503 := [trans #475 #501]: #502
#458 := [asserted]: #60
#504 := [mp #458 #503]: #497
#628 := [mp #504 #627]: #625
#629 := [not-or-elim #628]: #620
#876 := [mp~ #629 #875]: #873
#1197 := (+ uf_10 z3name!8)
#1198 := (<= #1197 0::int)
#1199 := (>= #1197 0::int)
#1201 := (not #1199)
#1200 := (not #1198)
#1202 := (or #1200 #1201)
#1203 := (not #1202)
#1206 := (or #476 #1203)
#1213 := (not #1206)
#1186 := (+ uf_10 #864)
#1187 := (<= #1186 0::int)
#1189 := (not #1187)
#1185 := (>= #1186 0::int)
#1188 := (not #1185)
#1190 := (or #1188 #1189)
#1191 := (not #1190)
#1194 := (or #477 #1191)
#1212 := (not #1194)
#1214 := (or #1212 #1213)
#1215 := (not #1214)
#1218 := (iff #860 #1215)
#1209 := (and #1194 #1206)
#1216 := (iff #1209 #1215)
#1217 := [rewrite]: #1216
#1210 := (iff #860 #1209)
#1207 := (iff #859 #1206)
#1204 := (iff #858 #1203)
#1205 := [rewrite]: #1204
#1208 := [monotonicity #1205]: #1207
#1195 := (iff #857 #1194)
#1192 := (iff #856 #1191)
#1193 := [rewrite]: #1192
#1196 := [monotonicity #1193]: #1195
#1211 := [monotonicity #1196 #1208]: #1210
#1219 := [trans #1211 #1217]: #1218
#1220 := [mp #861 #1219]: #1215
#1222 := [not-or-elim #1220]: #1206
#1560 := [unit-resolution #1222 #1553]: #1203
#1325 := (or #1202 #1198)
#1326 := [def-axiom]: #1325
#1561 := [unit-resolution #1326 #1560]: #1198
#711 := (+ uf_5 #708)
#714 := (+ uf_1 #711)
#721 := (>= #714 0::int)
#201 := (ite #194 uf_4 #177)
#212 := (* -1::int #201)
#213 := (+ uf_5 #212)
#214 := (+ uf_1 #213)
#555 := (>= #214 0::int)
#722 := (= #555 #721)
#715 := (~ #214 #714)
#712 := (~ #213 #711)
#709 := (~ #212 #708)
#706 := (~ #201 z3name!2)
#707 := [apply-def #705]: #706
#710 := [monotonicity #707]: #709
#713 := [monotonicity #710]: #712
#716 := [monotonicity #713]: #715
#723 := [monotonicity #716]: #722
#557 := (not #555)
#554 := (<= #214 0::int)
#556 := (not #554)
#558 := (or #556 #557)
#559 := (not #558)
#215 := (= #214 0::int)
#560 := (iff #215 #559)
#561 := [rewrite]: #560
#21 := (- uf_4)
#20 := (< uf_4 0::int)
#22 := (ite #20 #21 uf_4)
#23 := (- #22 uf_1)
#24 := (= uf_5 #23)
#220 := (iff #24 #215)
#180 := (ite #20 #177 uf_4)
#186 := (+ #130 #180)
#191 := (= uf_5 #186)
#218 := (iff #191 #215)
#206 := (+ #130 #201)
#209 := (= uf_5 #206)
#216 := (iff #209 #215)
#217 := [rewrite]: #216
#210 := (iff #191 #209)
#207 := (= #186 #206)
#204 := (= #180 #201)
#198 := (ite #195 #177 uf_4)
#202 := (= #198 #201)
#203 := [rewrite]: #202
#199 := (= #180 #198)
#196 := (iff #20 #195)
#197 := [rewrite]: #196
#200 := [monotonicity #197]: #199
#205 := [trans #200 #203]: #204
#208 := [monotonicity #205]: #207
#211 := [monotonicity #208]: #210
#219 := [trans #211 #217]: #218
#192 := (iff #24 #191)
#189 := (= #23 #186)
#183 := (- #180 uf_1)
#187 := (= #183 #186)
#188 := [rewrite]: #187
#184 := (= #23 #183)
#181 := (= #22 #180)
#178 := (= #21 #177)
#179 := [rewrite]: #178
#182 := [monotonicity #179]: #181
#185 := [monotonicity #182]: #184
#190 := [trans #185 #188]: #189
#193 := [monotonicity #190]: #192
#221 := [trans #193 #219]: #220
#176 := [asserted]: #24
#222 := [mp #176 #221]: #215
#562 := [mp #222 #561]: #559
#564 := [not-or-elim #562]: #555
#724 := [mp~ #564 #723]: #721
#685 := (+ uf_4 #682)
#688 := (+ uf_2 #685)
#695 := (>= #688 0::int)
#154 := (ite #147 uf_1 #130)
#165 := (* -1::int #154)
#166 := (+ uf_4 #165)
#167 := (+ uf_2 #166)
#544 := (>= #167 0::int)
#696 := (= #544 #695)
#689 := (~ #167 #688)
#686 := (~ #166 #685)
#683 := (~ #165 #682)
#680 := (~ #154 z3name!1)
#681 := [apply-def #679]: #680
#684 := [monotonicity #681]: #683
#687 := [monotonicity #684]: #686
#690 := [monotonicity #687]: #689
#697 := [monotonicity #690]: #696
#546 := (not #544)
#543 := (<= #167 0::int)
#545 := (not #543)
#547 := (or #545 #546)
#548 := (not #547)
#168 := (= #167 0::int)
#549 := (iff #168 #548)
#550 := [rewrite]: #549
#15 := (- uf_1)
#14 := (< uf_1 0::int)
#16 := (ite #14 #15 uf_1)
#17 := (- #16 uf_2)
#18 := (= uf_4 #17)
#173 := (iff #18 #168)
#133 := (ite #14 #130 uf_1)
#139 := (+ #82 #133)
#144 := (= uf_4 #139)
#171 := (iff #144 #168)
#159 := (+ #82 #154)
#162 := (= uf_4 #159)
#169 := (iff #162 #168)
#170 := [rewrite]: #169
#163 := (iff #144 #162)
#160 := (= #139 #159)
#157 := (= #133 #154)
#151 := (ite #148 #130 uf_1)
#155 := (= #151 #154)
#156 := [rewrite]: #155
#152 := (= #133 #151)
#149 := (iff #14 #148)
#150 := [rewrite]: #149
#153 := [monotonicity #150]: #152
#158 := [trans #153 #156]: #157
#161 := [monotonicity #158]: #160
#164 := [monotonicity #161]: #163
#172 := [trans #164 #170]: #171
#145 := (iff #18 #144)
#142 := (= #17 #139)
#136 := (- #133 uf_2)
#140 := (= #136 #139)
#141 := [rewrite]: #140
#137 := (= #17 #136)
#134 := (= #16 #133)
#131 := (= #15 #130)
#132 := [rewrite]: #131
#135 := [monotonicity #132]: #134
#138 := [monotonicity #135]: #137
#143 := [trans #138 #141]: #142
#146 := [monotonicity #143]: #145
#174 := [trans #146 #172]: #173
#129 := [asserted]: #18
#175 := [mp #129 #174]: #168
#551 := [mp #175 #550]: #548
#553 := [not-or-elim #551]: #544
#698 := [mp~ #553 #697]: #695
#1373 := (not #721)
#1562 := (or #147 #1373 #961 #241 #195)
#1563 := [th-lemma]: #1562
#1564 := [unit-resolution #1563 #1559 #1557 #724 #1406]: #147
#1565 := [unit-resolution #955 #1564]: #925
#1566 := [unit-resolution #1238 #1565]: #921
#1372 := (not #873)
#1371 := (not #695)
#1498 := (or #516 #923 #1373 #1371 #1372 #1343 #1200 #1075 #1350 #1113 #961 #1151 #1337 #1048 #1357)
#1499 := [th-lemma]: #1498
#1567 := [unit-resolution #1499 #1566 #698 #724 #1545 #772 #1447 #802 #1496 #828 #1554 #854 #1561 #876 #1559]: #516
#1247 := (or #962 #957)
#1248 := [def-axiom]: #1247
#1568 := [unit-resolution #1248 #1558]: #957
#877 := (>= #870 0::int)
#878 := (= #621 #877)
#879 := [monotonicity #872]: #878
#630 := [not-or-elim #628]: #621
#880 := [mp~ #630 #879]: #877
#1327 := (or #1202 #1199)
#1328 := [def-axiom]: #1327
#1569 := [unit-resolution #1328 #1560]: #1199
#795 := (<= #792 0::int)
#796 := (= #587 #795)
#797 := [monotonicity #794]: #796
#596 := [not-or-elim #595]: #587
#798 := [mp~ #596 #797]: #795
#1503 := (or #335 #1049 #241)
#1425 := (or #335 #1049 #241 #1037)
#1422 := [hypothesis]: #336
#1423 := [hypothesis]: #1047
#1424 := [th-lemma #1423 #1422 #776 #1406 #1421]: false
#1426 := [lemma #1424]: #1425
#1504 := [unit-resolution #1426 #1459]: #1503
#1505 := [unit-resolution #1504 #1406 #1468]: #335
#1506 := [unit-resolution #1107 #1505]: #1077
#1283 := (or #1076 #1071)
#1284 := [def-axiom]: #1283
#1507 := [unit-resolution #1284 #1506]: #1071
#717 := (<= #714 0::int)
#718 := (= #554 #717)
#719 := [monotonicity #716]: #718
#563 := [not-or-elim #562]: #554
#720 := [mp~ #563 #719]: #717
#691 := (<= #688 0::int)
#692 := (= #543 #691)
#693 := [monotonicity #690]: #692
#552 := [not-or-elim #551]: #543
#694 := [mp~ #552 #693]: #691
#1235 := (or #924 #919)
#1236 := [def-axiom]: #1235
#1570 := [unit-resolution #1236 #1565]: #919
#1409 := (not #773)
#1489 := (not #847)
#1358 := (not #795)
#1365 := (not #821)
#1511 := (not #877)
#1510 := (not #691)
#1509 := (not #717)
#1512 := (or #515 #922 #1509 #1510 #1511 #1365 #1201 #1074 #1358 #1112 #960 #1150 #1489 #1049 #1409)
#1513 := [th-lemma]: #1512
#1571 := [unit-resolution #1513 #1570 #694 #720 #1468 #776 #1507 #798 #1488 #824 #1552 #850 #1569 #880 #1568]: #515
#506 := (<= #508 0::int)
#659 := (+ uf_3 #656)
#662 := (+ uf_1 #659)
#665 := (<= #662 0::int)
#107 := (ite #100 uf_2 #82)
#118 := (* -1::int #107)
#119 := (+ uf_3 #118)
#120 := (+ uf_1 #119)
#532 := (<= #120 0::int)
#666 := (= #532 #665)
#663 := (~ #120 #662)
#660 := (~ #119 #659)
#657 := (~ #118 #656)
#654 := (~ #107 z3name!0)
#655 := [apply-def #653]: #654
#658 := [monotonicity #655]: #657
#661 := [monotonicity #658]: #660
#664 := [monotonicity #661]: #663
#667 := [monotonicity #664]: #666
#533 := (>= #120 0::int)
#535 := (not #533)
#534 := (not #532)
#536 := (or #534 #535)
#537 := (not #536)
#121 := (= #120 0::int)
#538 := (iff #121 #537)
#539 := [rewrite]: #538
#8 := (- uf_2)
#7 := (< uf_2 0::int)
#9 := (ite #7 #8 uf_2)
#11 := (- #9 uf_3)
#12 := (= uf_1 #11)
#126 := (iff #12 #121)
#85 := (ite #7 #82 uf_2)
#91 := (* -1::int uf_3)
#92 := (+ #91 #85)
#97 := (= uf_1 #92)
#124 := (iff #97 #121)
#112 := (+ #91 #107)
#115 := (= uf_1 #112)
#122 := (iff #115 #121)
#123 := [rewrite]: #122
#116 := (iff #97 #115)
#113 := (= #92 #112)
#110 := (= #85 #107)
#104 := (ite #101 #82 uf_2)
#108 := (= #104 #107)
#109 := [rewrite]: #108
#105 := (= #85 #104)
#102 := (iff #7 #101)
#103 := [rewrite]: #102
#106 := [monotonicity #103]: #105
#111 := [trans #106 #109]: #110
#114 := [monotonicity #111]: #113
#117 := [monotonicity #114]: #116
#125 := [trans #117 #123]: #124
#98 := (iff #12 #97)
#95 := (= #11 #92)
#88 := (- #85 uf_3)
#93 := (= #88 #92)
#94 := [rewrite]: #93
#89 := (= #11 #88)
#86 := (= #9 #85)
#83 := (= #8 #82)
#84 := [rewrite]: #83
#87 := [monotonicity #84]: #86
#90 := [monotonicity #87]: #89
#96 := [trans #90 #94]: #95
#99 := [monotonicity #96]: #98
#127 := [trans #99 #125]: #126
#80 := [asserted]: #12
#128 := [mp #80 #127]: #121
#540 := [mp #128 #539]: #537
#541 := [not-or-elim #540]: #532
#668 := [mp~ #541 #667]: #665
#1515 := (or #100 #241 #923 #1373 #1371 #961)
#1516 := [th-lemma]: #1515
#1572 := [unit-resolution #1516 #1566 #698 #1559 #724 #1406]: #100
#1573 := [unit-resolution #917 #1572]: #887
#1223 := (or #886 #881)
#1224 := [def-axiom]: #1223
#1574 := [unit-resolution #1224 #1573]: #881
#1528 := (not #665)
#1529 := (or #506 #884 #1528 #1364 #1011 #1343 #1113 #1151 #1337 #1048 #1357 #922 #1510)
#1530 := [th-lemma]: #1529
#1575 := [unit-resolution #1530 #1574 #668 #694 #1404 #750 #1545 #772 #1496 #828 #1554 #854 #1570]: #506
#743 := (<= #740 0::int)
#744 := (= #565 #743)
#745 := [monotonicity #742]: #744
#574 := [not-or-elim #573]: #565
#746 := [mp~ #574 #745]: #743
#1520 := [unit-resolution #1032 #1406]: #1013
#1265 := (or #1012 #1008)
#1266 := [def-axiom]: #1265
#1521 := [unit-resolution #1266 #1520]: #1008
#669 := (>= #662 0::int)
#670 := (= #533 #669)
#671 := [monotonicity #664]: #670
#542 := [not-or-elim #540]: #533
#672 := [mp~ #542 #671]: #669
#1576 := [unit-resolution #1226 #1573]: #883
#1523 := (not #743)
#1522 := (not #669)
#1524 := (or #509 #885 #1522 #1523 #1010 #1365 #1112 #1150 #1489 #1049 #1409 #923 #1371)
#1525 := [th-lemma]: #1524
#1577 := [unit-resolution #1525 #1576 #672 #698 #1521 #746 #1468 #776 #1488 #824 #1552 #850 #1566]: #509
#634 := (not #516)
#633 := (not #515)
#632 := (not #509)
#631 := (not #506)
#635 := (or #631 #632 #633 #634)
#523 := (and #506 #509 #515 #516)
#528 := (not #523)
#644 := (iff #528 #635)
#636 := (not #635)
#639 := (not #636)
#642 := (iff #639 #635)
#643 := [rewrite]: #642
#640 := (iff #528 #639)
#637 := (iff #523 #636)
#638 := [rewrite]: #637
#641 := [monotonicity #638]: #640
#645 := [trans #641 #643]: #644
#62 := (= uf_2 uf_11)
#61 := (= uf_3 uf_10)
#63 := (and #61 #62)
#64 := (not #63)
#529 := (iff #64 #528)
#526 := (iff #63 #523)
#517 := (and #515 #516)
#510 := (and #506 #509)
#520 := (and #510 #517)
#524 := (iff #520 #523)
#525 := [rewrite]: #524
#521 := (iff #63 #520)
#518 := (iff #62 #517)
#519 := [rewrite]: #518
#511 := (iff #61 #510)
#512 := [rewrite]: #511
#522 := [monotonicity #512 #519]: #521
#527 := [trans #522 #525]: #526
#530 := [monotonicity #527]: #529
#505 := [asserted]: #64
#531 := [mp #505 #530]: #528
#646 := [mp #531 #645]: #635
#1578 := [unit-resolution #646 #1577 #1575 #1571 #1567]: false
#1580 := [lemma #1578]: #1579
#1657 := [unit-resolution #1580 #1406]: #1048
#1625 := (or #194 #241)
#1535 := [hypothesis]: #195
#1538 := (or #194 #960)
#1432 := [hypothesis]: #973
#1255 := (or #974 #971)
#1256 := [def-axiom]: #1255
#1433 := [unit-resolution #1256 #1432]: #974
#994 := [not-or-elim #992]: #978
#1434 := [unit-resolution #994 #1433]: #194
#1435 := [unit-resolution #993 #1434]: #963
#1436 := (or #971 #195 #961)
#1437 := [th-lemma]: #1436
#1438 := [unit-resolution #1437 #1434 #1432]: #961
#1439 := [unit-resolution #1250 #1438 #1435]: false
#1440 := [lemma #1439]: #971
#1536 := [hypothesis]: #957
#1537 := [th-lemma #1536 #1535 #1440]: false
#1539 := [lemma #1537]: #1538
#1581 := [unit-resolution #1539 #1535]: #960
#1582 := (or #959 #957)
#1583 := [th-lemma]: #1582
#1584 := [unit-resolution #1583 #1581]: #959
#1585 := (or #147 #1373 #241 #194 #973)
#1586 := [th-lemma]: #1585
#1587 := [unit-resolution #1586 #1535 #1440 #724 #1406]: #147
#1588 := [unit-resolution #955 #1587]: #925
#1589 := [unit-resolution #1238 #1588]: #921
#1590 := [unit-resolution #1516 #1589 #698 #1584 #724 #1406]: #100
#1591 := [unit-resolution #917 #1590]: #887
#1592 := [unit-resolution #1224 #1591]: #881
#1593 := (or #430 #1365 #1074 #1358 #1112 #194 #1364 #1011 #241)
#1594 := [th-lemma]: #1593
#1595 := [unit-resolution #1594 #1535 #1404 #750 #1507 #798 #1488 #824 #1406]: #430
#1184 := [not-or-elim #1182]: #1168
#1596 := [unit-resolution #1184 #1595]: #1165
#1315 := (or #1164 #1161)
#1316 := [def-axiom]: #1315
#1597 := [unit-resolution #1316 #1596]: #1161
#1533 := (or #288 #241)
#1471 := (or #194 #288 #241)
#1469 := (or #194 #288 #241 #1364 #1011)
#1470 := [th-lemma]: #1469
#1472 := [unit-resolution #1470 #1404 #750]: #1471
#1473 := [unit-resolution #1472 #1405 #1406]: #194
#1474 := [unit-resolution #993 #1473]: #963
#1475 := [unit-resolution #1250 #1474]: #959
#1476 := (or #147 #1373 #1364 #1011 #961 #241 #288)
#1477 := [th-lemma]: #1476
#1478 := [unit-resolution #1477 #1475 #724 #1406 #1404 #750 #1405]: #147
#1479 := [unit-resolution #955 #1478]: #925
#1480 := [unit-resolution #1238 #1479]: #921
#1419 := (or #288 #241 #429)
#1333 := [hypothesis]: #430
#1408 := [unit-resolution #1280 #1407]: #1047
#1410 := (or #335 #1049 #1409 #288 #241)
#1411 := [th-lemma]: #1410
#1412 := [unit-resolution #1411 #1405 #1408 #776 #1406]: #335
#1413 := [unit-resolution #1107 #1412]: #1077
#1414 := [unit-resolution #1286 #1413]: #1073
#1415 := [unit-resolution #1352 #1414 #802 #1405 #828 #1333]: #1113
#1416 := [unit-resolution #1298 #1415]: #1114
#1417 := [unit-resolution #1145 #1416]: #383
#1418 := [th-lemma #1414 #802 #1405 #1408 #776 #1406 #1417]: false
#1420 := [lemma #1418]: #1419
#1481 := [unit-resolution #1420 #1405 #1406]: #429
#1482 := [unit-resolution #1183 #1481]: #1153
#1483 := [unit-resolution #1308 #1482]: #1147
#1490 := (or #477 #1150 #1489 #1365 #1112 #1049 #241 #1409 #288)
#1491 := [th-lemma]: #1490
#1492 := [unit-resolution #1491 #1405 #1468 #776 #1488 #824 #1483 #850 #1406]: #477
#1493 := [unit-resolution #1222 #1492]: #1203
#1494 := [unit-resolution #1326 #1493]: #1198
#1495 := [unit-resolution #1310 #1482]: #1149
#1500 := [unit-resolution #1499 #1475 #698 #724 #1497 #772 #1447 #802 #1496 #828 #1495 #854 #1494 #876 #1480]: #516
#1501 := [unit-resolution #1236 #1479]: #919
#1502 := [unit-resolution #1328 #1493]: #1199
#1508 := [unit-resolution #1248 #1474]: #957
#1514 := [unit-resolution #1513 #1508 #694 #720 #1468 #776 #1507 #798 #1488 #824 #1483 #850 #1502 #880 #1501]: #515
#1517 := [unit-resolution #1516 #1480 #698 #1475 #724 #1406]: #100
#1518 := [unit-resolution #917 #1517]: #887
#1519 := [unit-resolution #1226 #1518]: #883
#1526 := [unit-resolution #1525 #1480 #672 #698 #1521 #746 #1468 #776 #1488 #824 #1483 #850 #1519]: #509
#1527 := [unit-resolution #1224 #1518]: #881
#1531 := [unit-resolution #1530 #1501 #668 #694 #1404 #750 #1497 #772 #1496 #828 #1495 #854 #1527]: #506
#1532 := [unit-resolution #646 #1531 #1526 #1514 #1500]: false
#1534 := [lemma #1532]: #1533
#1598 := [unit-resolution #1534 #1406]: #288
#1599 := [unit-resolution #1069 #1598]: #1039
#1271 := (or #1038 #1033)
#1272 := [def-axiom]: #1271
#1600 := [unit-resolution #1272 #1599]: #1033
#1601 := [unit-resolution #1236 #1588]: #919
#1602 := (or #506 #884 #1528 #1364 #1011 #1365 #1112 #1337 #1357 #922 #1510 #1036 #1163 #1074 #1358)
#1603 := [th-lemma]: #1602
#1604 := [unit-resolution #1603 #1601 #668 #694 #1404 #750 #1600 #772 #1507 #798 #1488 #824 #1597 #854 #1592]: #506
#1605 := [unit-resolution #1226 #1591]: #883
#1313 := (or #1164 #1160)
#1314 := [def-axiom]: #1313
#1606 := [unit-resolution #1314 #1596]: #1160
#1607 := (or #509 #885 #1522 #1523 #1010 #1343 #1113 #1489 #1409 #923 #1371 #1037 #1162 #1075 #1350)
#1608 := [th-lemma]: #1607
#1609 := [unit-resolution #1608 #1589 #672 #698 #1521 #746 #1459 #776 #1447 #802 #1496 #828 #1606 #850 #1605]: #509
#1610 := (or #476 #1036 #1337 #1365 #1112 #1357 #194 #1364 #1011 #1163 #1074 #1358)
#1611 := [th-lemma]: #1610
#1612 := [unit-resolution #1611 #1597 #750 #1600 #772 #1507 #798 #1488 #824 #1404 #854 #1535]: #476
#1221 := [not-or-elim #1220]: #1194
#1613 := [unit-resolution #1221 #1612]: #1191
#1319 := (or #1190 #1185)
#1320 := [def-axiom]: #1319
#1614 := [unit-resolution #1320 #1613]: #1185
#1615 := (or #516 #923 #1373 #1371 #1372 #1075 #1350 #1489 #1409 #1037 #973 #1162 #1188 #1343 #1113 #1523 #1010)
#1616 := [th-lemma]: #1615
#1617 := [unit-resolution #1616 #1606 #1440 #724 #1521 #746 #1459 #776 #1447 #802 #1496 #828 #698 #850 #1614 #876 #1589]: #516
#1321 := (or #1190 #1187)
#1322 := [def-axiom]: #1321
#1618 := [unit-resolution #1322 #1613]: #1187
#1619 := [unit-resolution #994 #1535]: #975
#1253 := (or #974 #970)
#1254 := [def-axiom]: #1253
#1620 := [unit-resolution #1254 #1619]: #970
#1621 := (or #515 #922 #1509 #1510 #1511 #1074 #1358 #1337 #1357 #1036 #972 #1163 #1189 #1365 #1112 #1364 #1011)
#1622 := [th-lemma]: #1621
#1623 := [unit-resolution #1622 #1620 #694 #720 #1404 #750 #1600 #772 #1507 #798 #1488 #824 #1597 #854 #1618 #880 #1601]: #515
#1624 := [unit-resolution #646 #1623 #1617 #1609 #1604]: false
#1626 := [lemma #1624]: #1625
#1658 := [unit-resolution #1626 #1406]: #194
#1659 := [unit-resolution #993 #1658]: #963
#1660 := [unit-resolution #1250 #1659]: #959
#1661 := [unit-resolution #1563 #1660 #1658 #724 #1406]: #147
#1662 := [unit-resolution #955 #1661]: #925
#1663 := [unit-resolution #1238 #1662]: #921
#1664 := [unit-resolution #1516 #1663 #698 #1660 #724 #1406]: #100
#1665 := [unit-resolution #917 #1664]: #887
#1666 := [unit-resolution #1226 #1665]: #883
#1667 := [unit-resolution #1224 #1665]: #881
#1668 := [unit-resolution #1236 #1662]: #919
#1669 := [unit-resolution #1248 #1659]: #957
#1655 := (or #429 #1113 #1010 #960 #1036 #1074 #1112 #922 #923 #884 #885)
#1632 := [hypothesis]: #919
#1636 := [hypothesis]: #881
#1638 := [hypothesis]: #1071
#1639 := [hypothesis]: #1033
#1334 := [unit-resolution #1184 #1333]: #1165
#1335 := [unit-resolution #1316 #1334]: #1161
#1640 := [unit-resolution #1603 #1335 #668 #694 #1404 #750 #1639 #772 #1638 #798 #1637 #824 #1632 #854 #1636]: #506
#1641 := [hypothesis]: #883
#1642 := [hypothesis]: #921
#1643 := [hypothesis]: #1111
#1644 := [hypothesis]: #1008
#1631 := [unit-resolution #1314 #1334]: #1160
#1645 := [unit-resolution #1608 #1631 #672 #698 #1644 #746 #1459 #776 #1447 #802 #1643 #828 #1642 #850 #1641]: #509
#1634 := (or #1202 #922 #960 #632 #631 #429)
#1627 := [hypothesis]: #506
#1628 := [hypothesis]: #509
#1384 := [hypothesis]: #1203
#1396 := (or #1202 #516 #429)
#1331 := [hypothesis]: #634
#1385 := [unit-resolution #1326 #1384]: #1198
#1382 := (or #1189 #1200 #516 #429)
#1332 := [hypothesis]: #1198
#1336 := [hypothesis]: #1187
#1338 := (or #382 #1189 #1337 #429 #1163 #1200)
#1339 := [th-lemma]: #1338
#1340 := [unit-resolution #1339 #1336 #1335 #854 #1333 #1332]: #382
#1341 := [unit-resolution #1145 #1340]: #1115
#1342 := [unit-resolution #1298 #1341]: #1111
#1344 := (or #335 #1113 #429 #1343 #1189 #1337 #1163 #1200)
#1345 := [th-lemma]: #1344
#1346 := [unit-resolution #1345 #1342 #828 #1333 #1335 #854 #1336 #1332]: #335
#1347 := [unit-resolution #1107 #1346]: #1077
#1348 := [unit-resolution #1284 #1347]: #1071
#1349 := [unit-resolution #1286 #1347]: #1073
#1353 := [unit-resolution #1352 #1349 #802 #1342 #828 #1333]: #288
#1354 := [unit-resolution #1069 #1353]: #1039
#1355 := [unit-resolution #1272 #1354]: #1033
#1356 := [unit-resolution #1296 #1341]: #1109
#1359 := (or #242 #1036 #1357 #429 #1189 #1337 #1163 #1200 #1074 #1358)
#1360 := [th-lemma]: #1359
#1361 := [unit-resolution #1360 #1355 #772 #1348 #798 #1333 #1335 #854 #1336 #1332]: #242
#1362 := [unit-resolution #1032 #1361]: #1013
#1363 := [unit-resolution #1268 #1362]: #1009
#1366 := (or #194 #1011 #1364 #1074 #1358 #1112 #1365 #1036 #1357 #1189 #1337 #1163 #1200)
#1367 := [th-lemma]: #1366
#1368 := [unit-resolution #1367 #1363 #750 #1355 #772 #1348 #798 #1356 #824 #1335 #854 #1336 #1332]: #194
#1369 := [unit-resolution #993 #1368]: #963
#1370 := [unit-resolution #1250 #1369]: #959
#1374 := (or #923 #1371 #516 #1372 #1200 #961 #1373 #1036 #1357 #1337 #1163 #1074 #1358)
#1375 := [th-lemma]: #1374
#1376 := [unit-resolution #1375 #1370 #698 #724 #1355 #772 #1348 #798 #1335 #854 #1332 #876 #1331]: #923
#1377 := (or #147 #195 #961 #1373 #1036 #1357 #429 #1189 #1337 #1163 #1200 #1074 #1358)
#1378 := [th-lemma]: #1377
#1379 := [unit-resolution #1378 #1368 #1370 #724 #1355 #772 #1348 #798 #1333 #1335 #854 #1336 #1332]: #147
#1380 := [unit-resolution #955 #1379]: #925
#1381 := [unit-resolution #1238 #1380 #1376]: false
#1383 := [lemma #1381]: #1382
#1386 := [unit-resolution #1383 #1385 #1331 #1333]: #1189
#1387 := [unit-resolution #1322 #1386]: #1190
#1388 := [unit-resolution #1328 #1384]: #1199
#1389 := (or #1187 #1185)
#1390 := [th-lemma]: #1389
#1391 := [unit-resolution #1390 #1386]: #1185
#1392 := (or #476 #1188 #1201)
#1393 := [th-lemma]: #1392
#1394 := [unit-resolution #1393 #1391 #1388]: #476
#1395 := [unit-resolution #1221 #1394 #1387]: false
#1397 := [lemma #1395]: #1396
#1629 := [unit-resolution #1397 #1384 #1333]: #516
#1630 := [unit-resolution #646 #1629 #1628 #1627]: #633
#1633 := [th-lemma #1632 #720 #694 #880 #1447 #802 #850 #776 #1459 #1631 #1536 #1388 #1630]: false
#1635 := [lemma #1633]: #1634
#1646 := [unit-resolution #1635 #1645 #1536 #1632 #1640 #1333]: #1202
#1647 := [unit-resolution #1222 #1646]: #476
#1648 := [unit-resolution #1221 #1647]: #1191
#1649 := [unit-resolution #1322 #1648]: #1187
#1650 := [unit-resolution #1320 #1648]: #1185
#1651 := [unit-resolution #1616 #1650 #1440 #724 #1644 #746 #1459 #776 #1447 #802 #1643 #828 #698 #850 #1631 #876 #1642]: #516
#1652 := [unit-resolution #646 #1651 #1645 #1640]: #633
#1653 := [unit-resolution #1622 #1652 #694 #720 #1404 #750 #1639 #772 #1638 #798 #1637 #824 #1335 #854 #1649 #880 #1632]: #972
#1654 := [th-lemma #1459 #1647 #850 #828 #1643 #776 #746 #1644 #1631 #1447 #802 #1536 #1653]: false
#1656 := [lemma #1654]: #1655
#1670 := [unit-resolution #1656 #1496 #1521 #1669 #1600 #1507 #1488 #1668 #1663 #1667 #1666]: #429
#1671 := [th-lemma #1600 #1670 #824 #1507 #798 #1488 #1657]: false
#1672 := [lemma #1671]: #241
#1683 := [unit-resolution #1031 #1672]: #1001
#1703 := [unit-resolution #1262 #1683]: #997
#1920 := (or #194 #242 #1364 #999 #288)
#1921 := [th-lemma]: #1920
#1922 := [unit-resolution #1921 #1405 #1703 #750 #1672]: #194
#1923 := [unit-resolution #993 #1922]: #963
#1924 := [unit-resolution #1248 #1923]: #957
#1925 := [unit-resolution #1250 #1923]: #959
#1843 := (or #288 #961 #147)
#1763 := [hypothesis]: #148
#1828 := [hypothesis]: #959
#1842 := [th-lemma #724 #750 #1703 #1828 #1405 #1763]: false
#1844 := [lemma #1842]: #1843
#1926 := [unit-resolution #1844 #1925 #1405]: #147
#1927 := [unit-resolution #955 #1926]: #925
#1928 := [unit-resolution #1236 #1927]: #919
#2116 := [unit-resolution #1310 #2047]: #1149
#2084 := (or #288 #516)
#2050 := (or #288 #961 #516)
#2037 := [hypothesis]: #1087
#2038 := [unit-resolution #1292 #2037]: #1088
#2041 := (or #1085 #336)
#2039 := (or #1085 #1075 #336)
#2040 := [th-lemma]: #2039
#2042 := [unit-resolution #2040 #1447]: #2041
#2043 := [unit-resolution #2042 #2037]: #336
#2044 := [unit-resolution #1108 #2043 #2038]: false
#2045 := [lemma #2044]: #1085
#2035 := (or #1087 #1150 #961 #1048 #516)
#1845 := [hypothesis]: #1085
#1874 := [hypothesis]: #477
#1901 := (or #335 #476)
#1895 := [unit-resolution #1222 #1874]: #1203
#1896 := [unit-resolution #1326 #1895]: #1198
#1893 := (or #429 #1200)
#1880 := (or #335 #1113 #429 #1163 #1200)
#1857 := [hypothesis]: #1189
#1858 := [unit-resolution #1322 #1857]: #1190
#1859 := [unit-resolution #1221 #1858]: #477
#1860 := [unit-resolution #1222 #1859]: #1203
#1861 := [unit-resolution #1390 #1857]: #1185
#1862 := [unit-resolution #1393 #1859 #1861]: #1201
#1863 := [unit-resolution #1328 #1862 #1860]: false
#1864 := [lemma #1863]: #1187
#1878 := (or #335 #1113 #429 #1189 #1163 #1200)
#1879 := [unit-resolution #1345 #828 #854]: #1878
#1881 := [unit-resolution #1879 #1864]: #1880
#1882 := [unit-resolution #1881 #1335 #1870 #1333 #1332]: #335
#1883 := [unit-resolution #1107 #1882]: #1077
#1884 := [unit-resolution #1689 #1333 #1870]: #288
#1885 := [unit-resolution #1069 #1884]: #1039
#1886 := [unit-resolution #1272 #1885]: #1033
#1889 := (or #1036 #429 #1163 #1200 #1074)
#1887 := (or #242 #1036 #429 #1189 #1163 #1200 #1074)
#1888 := [unit-resolution #1360 #772 #798 #854]: #1887
#1890 := [unit-resolution #1888 #1672 #1864]: #1889
#1891 := [unit-resolution #1890 #1886 #1332 #1333 #1335]: #1074
#1892 := [unit-resolution #1284 #1891 #1883]: false
#1894 := [lemma #1892]: #1893
#1897 := [unit-resolution #1894 #1896]: #429
#1898 := [unit-resolution #1183 #1897]: #1153
#1899 := [unit-resolution #1310 #1898]: #1149
#1900 := [th-lemma #854 #1899 #1870 #828 #1422 #1874]: false
#1902 := [lemma #1900]: #1901
#1950 := [unit-resolution #1902 #1874]: #335
#1951 := [unit-resolution #1107 #1950]: #1077
#1952 := [unit-resolution #1284 #1951]: #1071
#1953 := [unit-resolution #1328 #1895]: #1199
#1876 := (or #1109 #476)
#1673 := [hypothesis]: #1112
#1760 := (or #429 #1109)
#1674 := [unit-resolution #1296 #1673]: #1114
#1675 := [unit-resolution #1145 #1674]: #383
#1676 := [unit-resolution #1146 #1675]: #1127
#1677 := [unit-resolution #1304 #1676]: #1123
#1687 := [unit-resolution #1686 #1673]: #1111
#1743 := [unit-resolution #1689 #1333 #1687]: #288
#1744 := [unit-resolution #1069 #1743]: #1039
#1745 := [unit-resolution #1272 #1744]: #1033
#1678 := (or #335 #1343 #429 #382 #1125)
#1679 := [th-lemma]: #1678
#1746 := [unit-resolution #1679 #1333 #1675 #828 #1677]: #335
#1747 := [unit-resolution #1107 #1746]: #1077
#1748 := [unit-resolution #1284 #1747]: #1071
#1259 := (or #1000 #995)
#1260 := [def-axiom]: #1259
#1684 := [unit-resolution #1260 #1683]: #995
#1693 := (or #147 #1373 #1343 #1074 #1358 #1523 #429 #973 #998 #1036 #1357 #1125)
#1694 := [th-lemma]: #1693
#1749 := [unit-resolution #1694 #1745 #724 #1684 #746 #1440 #772 #1748 #798 #1677 #828 #1333]: #147
#1750 := [unit-resolution #955 #1749]: #925
#1751 := [unit-resolution #1238 #1750]: #921
#1714 := (or #100 #923 #1373 #1371 #1343 #1523 #1074 #1358 #973 #429 #382 #1036 #1357 #998 #1125)
#1715 := [th-lemma]: #1714
#1752 := [unit-resolution #1715 #1751 #698 #1440 #724 #1684 #746 #1675 #772 #1748 #798 #1745 #1677 #828 #1333]: #100
#1753 := [unit-resolution #1236 #1750]: #919
#1727 := (or #1109 #429 #972)
#1680 := [unit-resolution #1679 #1675 #1677 #828 #1333]: #335
#1681 := [unit-resolution #1107 #1680]: #1077
#1682 := [unit-resolution #1284 #1681]: #1071
#1690 := [unit-resolution #1689 #1687 #1333]: #288
#1691 := [unit-resolution #1069 #1690]: #1039
#1692 := [unit-resolution #1272 #1691]: #1033
#1695 := [unit-resolution #1694 #1692 #724 #1684 #746 #1440 #772 #1682 #798 #1677 #828 #1333]: #147
#1696 := [unit-resolution #955 #1695]: #925
#1697 := [unit-resolution #1236 #1696]: #919
#1698 := (or #476 #429 #1337 #1163 #382)
#1699 := [th-lemma]: #1698
#1700 := [unit-resolution #1699 #1675 #1335 #854 #1333]: #476
#1701 := [unit-resolution #1221 #1700]: #1191
#1702 := [unit-resolution #1322 #1701]: #1187
#1704 := [hypothesis]: #970
#1301 := (or #1126 #1122)
#1302 := [def-axiom]: #1301
#1705 := [unit-resolution #1302 #1676]: #1122
#1706 := (or #515 #922 #1509 #1510 #1511 #1075 #1350 #1337 #1409 #1037 #1163 #1365 #1364 #972 #999 #1124 #1189)
#1707 := [th-lemma]: #1706
#1708 := [unit-resolution #1707 #1705 #1704 #720 #1703 #750 #1459 #776 #1447 #802 #694 #824 #1335 #854 #1702 #880 #1697]: #515
#1709 := [unit-resolution #1238 #1696]: #921
#1710 := [unit-resolution #1320 #1701]: #1185
#1711 := (or #516 #923 #1373 #1371 #1372 #1074 #1358 #1489 #1357 #1036 #1162 #1343 #1523 #973 #998 #1125 #1188)
#1712 := [th-lemma]: #1711
#1713 := [unit-resolution #1712 #1692 #1440 #724 #1684 #746 #698 #772 #1682 #798 #1677 #828 #1631 #850 #1710 #876 #1709]: #516
#1716 := [unit-resolution #1715 #1709 #698 #1440 #724 #1684 #746 #1692 #772 #1682 #798 #1675 #1677 #828 #1333]: #100
#1717 := [unit-resolution #917 #1716]: #887
#1718 := [unit-resolution #1226 #1717]: #883
#1719 := (or #509 #885 #1522 #1523 #1343 #1489 #1357 #923 #1371 #1036 #1162 #998 #1125)
#1720 := [th-lemma]: #1719
#1721 := [unit-resolution #1720 #1709 #672 #698 #1684 #746 #1692 #772 #1677 #828 #1631 #850 #1718]: #509
#1722 := [unit-resolution #1224 #1717]: #881
#1723 := (or #506 #884 #1528 #1364 #1365 #1337 #1409 #922 #1510 #1037 #1163 #999 #1124)
#1724 := [th-lemma]: #1723
#1725 := [unit-resolution #1724 #1697 #668 #694 #1703 #750 #1459 #776 #1705 #824 #1335 #854 #1722]: #506
#1726 := [unit-resolution #646 #1725 #1721 #1713 #1708]: false
#1728 := [lemma #1726]: #1727
#1754 := [unit-resolution #1728 #1333 #1673]: #972
#1755 := [unit-resolution #1254 #1754]: #974
#1756 := [unit-resolution #994 #1755]: #194
#1757 := [unit-resolution #993 #1756]: #963
#1758 := [unit-resolution #1248 #1757]: #957
#1759 := [th-lemma #1758 #1753 #720 #694 #1675 #1459 #776 #1447 #802 #1752]: false
#1761 := [lemma #1759]: #1760
#1871 := [unit-resolution #1761 #1673]: #429
#1872 := [unit-resolution #1183 #1871]: #1153
#1873 := [unit-resolution #1310 #1872]: #1149
#1875 := [th-lemma #1675 #1874 #854 #1873 #1871]: false
#1877 := [lemma #1875]: #1876
#1954 := [unit-resolution #1877 #1874]: #1109
#1948 := (or #288 #1112 #1200 #1201 #1074)
#1917 := [unit-resolution #1894 #1332]: #429
#1918 := [unit-resolution #1183 #1917]: #1153
#1919 := [unit-resolution #1308 #1918]: #1147
#1929 := [unit-resolution #1310 #1918]: #1149
#1930 := [unit-resolution #1238 #1927]: #921
#1931 := [hypothesis]: #1199
#1932 := (or #515 #922 #1201 #1074 #1112 #960 #1150)
#1933 := [unit-resolution #1513 #694 #720 #1468 #776 #798 #824 #850 #880]: #1932
#1934 := [unit-resolution #1933 #1928 #1931 #1637 #1638 #1919 #1924]: #515
#1935 := (or #516 #923 #1200 #1113 #961 #1151 #1048)
#1936 := [unit-resolution #1499 #698 #724 #772 #1447 #802 #828 #854 #876]: #1935
#1937 := [unit-resolution #1936 #1930 #1870 #1332 #1929 #1497 #1925]: #516
#1915 := (or #898 #634 #633 #923 #961 #1048 #1151 #922 #960 #1112 #1150)
#1903 := [hypothesis]: #515
#1904 := [hypothesis]: #516
#1905 := [hypothesis]: #899
#1906 := [unit-resolution #1232 #1905]: #895
#1907 := (or #509 #1522 #1523 #897 #998 #1489 #1150 #960 #1509 #1112 #1365 #1049 #922 #1510 #1409)
#1908 := [th-lemma]: #1907
#1909 := [unit-resolution #1908 #1906 #1632 #694 #1536 #720 #1684 #746 #1468 #776 #1637 #824 #1540 #850 #672]: #509
#1774 := [hypothesis]: #1149
#1229 := (or #898 #894)
#1230 := [def-axiom]: #1229
#1910 := [unit-resolution #1230 #1905]: #894
#1911 := (or #506 #1528 #1364 #896 #999 #1337 #1151 #961 #1373 #1113 #1343 #1048 #923 #1371 #1357)
#1912 := [th-lemma]: #1911
#1913 := [unit-resolution #1912 #1910 #1642 #698 #1828 #724 #1703 #750 #1545 #772 #1870 #828 #1774 #854 #668]: #506
#1914 := [unit-resolution #646 #1913 #1909 #1904 #1903]: false
#1916 := [lemma #1914]: #1915
#1938 := [unit-resolution #1916 #1937 #1934 #1930 #1925 #1497 #1929 #1928 #1924 #1637 #1919]: #898
#1939 := [unit-resolution #918 #1938]: #100
#1940 := [unit-resolution #917 #1939]: #887
#1941 := [unit-resolution #1224 #1940]: #881
#1942 := (or #506 #884 #1113 #1151 #1048 #922)
#1943 := [unit-resolution #1530 #668 #694 #1404 #750 #772 #828 #854]: #1942
#1944 := [unit-resolution #1943 #1941 #1497 #1870 #1929 #1928]: #506
#1945 := [unit-resolution #646 #1944 #1937 #1934]: #632
#1946 := [unit-resolution #1908 #1945 #1928 #694 #1924 #720 #1684 #746 #1468 #776 #1637 #824 #1919 #850 #672]: #897
#1947 := [th-lemma #1946 #1939 #1742]: false
#1949 := [lemma #1947]: #1948
#1955 := [unit-resolution #1949 #1954 #1896 #1953 #1952]: #288
#1956 := [unit-resolution #1069 #1955]: #1039
#1957 := [unit-resolution #1272 #1956]: #1033
#1958 := [unit-resolution #1735 #1954]: #382
#1959 := (or #1123 #383 #1113)
#1960 := [th-lemma]: #1959
#1961 := [unit-resolution #1960 #1958 #1870]: #1123
#1962 := [unit-resolution #1308 #1898]: #1147
#1965 := (or #1160 #1112 #1074 #289 #1150)
#1963 := (or #1160 #1365 #1112 #1074 #1358 #289 #1150)
#1964 := [th-lemma]: #1963
#1966 := [unit-resolution #1964 #798 #824]: #1965
#1967 := [unit-resolution #1966 #1955 #1954 #1962 #1952]: #1160
#1970 := (or #1162 #1151 #1036 #1125 #147 #1074)
#1968 := (or #1162 #1151 #1343 #1523 #998 #1036 #1357 #1125 #973 #147 #1373 #1074 #1358)
#1969 := [th-lemma]: #1968
#1971 := [unit-resolution #1969 #724 #1684 #746 #1440 #772 #798 #828]: #1970
#1972 := [unit-resolution #1971 #1967 #1952 #1961 #1899 #1957]: #147
#1973 := [unit-resolution #955 #1972]: #925
#1974 := [unit-resolution #1236 #1973]: #919
#1975 := (or #1161 #1151 #430)
#1976 := [th-lemma]: #1975
#1977 := [unit-resolution #1976 #1899 #1897]: #1161
#1978 := (or #476 #1036 #1112 #194 #1163 #1074)
#1979 := [unit-resolution #1611 #750 #772 #798 #824 #1404 #854]: #1978
#1980 := [unit-resolution #1979 #1957 #1874 #1954 #1952 #1977]: #194
#1981 := [unit-resolution #993 #1980]: #963
#1982 := [unit-resolution #1248 #1981]: #957
#1983 := [unit-resolution #1933 #1974 #1953 #1954 #1952 #1962 #1982]: #515
#1984 := [unit-resolution #1238 #1973]: #921
#1985 := [unit-resolution #1250 #1981]: #959
#1849 := (or #923 #516 #1200 #961 #1036 #1163 #1074)
#1850 := [unit-resolution #1375 #698 #724 #772 #798 #854 #876]: #1849
#1986 := [unit-resolution #1850 #1985 #1896 #1952 #1977 #1957 #1984]: #516
#1987 := (or #509 #923 #1036 #1162 #1125)
#1988 := [unit-resolution #1720 #672 #698 #1684 #746 #1742 #772 #828 #850]: #1987
#1989 := [unit-resolution #1988 #1984 #1961 #1967 #1957]: #509
#1990 := [unit-resolution #646 #1989 #1986 #1983]: #631
#1991 := (or #506 #884 #1112 #922 #1036 #1163 #1074)
#1992 := [unit-resolution #1603 #668 #694 #1404 #750 #772 #798 #824 #854]: #1991
#1993 := [unit-resolution #1992 #1990 #1977 #1954 #1952 #1957 #1974]: #884
#1994 := [unit-resolution #1224 #1993]: #886
#1995 := [unit-resolution #917 #1994]: #101
#1996 := [th-lemma #746 #1684 #1957 #1874 #854 #1899 #1870 #828 #1984 #1995 #698 #772 #1972]: false
#1997 := [lemma #1996]: #476
#2014 := [unit-resolution #1221 #1997]: #1191
#2015 := [unit-resolution #1320 #2014]: #1185
#2034 := [th-lemma #876 #850 #1540 #2015 #802 #2033 #698 #772 #1828 #724 #1545 #1845 #1331]: false
#2036 := [lemma #2034]: #2035
#2048 := [unit-resolution #2036 #1497 #2045 #1828 #1331]: #1150
#2049 := [unit-resolution #1308 #2048 #2047]: false
#2051 := [lemma #2049]: #2050
#2082 := [unit-resolution #2051 #1405 #1331]: #961
#2083 := [unit-resolution #1250 #1923 #2082]: false
#2085 := [lemma #2083]: #2084
#2089 := [unit-resolution #2085 #1331]: #288
#2090 := [unit-resolution #1069 #2089]: #1039
#2091 := [unit-resolution #1272 #2090]: #1033
#2065 := [hypothesis]: #935
#2066 := [unit-resolution #1244 #2065]: #936
#2067 := [unit-resolution #956 #2066]: #147
#2068 := [th-lemma #2065 #2033 #2067]: false
#2069 := [lemma #2068]: #933
#2100 := (or #429 #516)
#2063 := (or #429 #1086 #516)
#2052 := [unit-resolution #1761 #1333]: #1109
#2053 := [unit-resolution #1735 #2052]: #382
#2054 := [hypothesis]: #1084
#2055 := (or #1200 #516 #429)
#2056 := [unit-resolution #1383 #1864]: #2055
#2057 := [unit-resolution #2056 #1333 #1331]: #1200
#2060 := (or #1086 #383 #1113 #1188 #1162 #1198)
#2058 := (or #1086 #383 #1113 #1343 #1188 #1489 #1162 #1198 #1075)
#2059 := [th-lemma]: #2058
#2061 := [unit-resolution #2059 #1447 #828 #850]: #2060
#2062 := [unit-resolution #2061 #1631 #2057 #2015 #1870 #2054 #2053]: false
#2064 := [lemma #2062]: #2063
#2086 := [unit-resolution #2064 #1333 #1331]: #1086
#2087 := [unit-resolution #1290 #2086]: #1088
#2088 := [unit-resolution #1108 #2087]: #335
#2080 := (or #1109 #516)
#2070 := [unit-resolution #1308 #1872]: #1147
#2020 := (or #194 #1150 #516 #1125 #1151 #1124)
#1762 := [hypothesis]: #1122
#1775 := [hypothesis]: #1123
#1803 := (or #194 #1151 #1150 #1125 #147 #1124)
#1764 := [unit-resolution #956 #1763]: #937
#1765 := [unit-resolution #1244 #1764]: #933
#1766 := (or #509 #885 #1522 #1364 #1365 #1489 #999 #1124 #1371 #1037 #1409 #935 #1150 #972 #1509 #1075 #1350)
#1767 := [th-lemma]: #1766
#1768 := [unit-resolution #1767 #1620 #1765 #698 #672 #720 #1703 #750 #1459 #776 #1447 #802 #1762 #824 #1540 #850 #1742]: #509
#1769 := (or #100 #1371 #935 #194 #147)
#1770 := [th-lemma]: #1769
#1771 := [unit-resolution #1770 #1535 #1765 #698 #1763]: #100
#1772 := [unit-resolution #917 #1771]: #887
#1773 := [unit-resolution #1224 #1772]: #881
#1776 := (or #335 #194 #1364 #1037 #1409 #999)
#1777 := [th-lemma]: #1776
#1778 := [unit-resolution #1777 #1535 #750 #1459 #776 #1703]: #335
#1779 := [unit-resolution #1107 #1778]: #1077
#1780 := [unit-resolution #1284 #1779]: #1071
#1241 := (or #936 #932)
#1242 := [def-axiom]: #1241
#1781 := [unit-resolution #1242 #1764]: #932
#1782 := (or #288 #1364 #999 #973 #147 #1373 #194)
#1783 := [th-lemma]: #1782
#1784 := [unit-resolution #1783 #1535 #1440 #724 #1703 #750 #1763]: #288
#1785 := [unit-resolution #1069 #1784]: #1039
#1786 := [unit-resolution #1272 #1785]: #1033
#1787 := (or #506 #884 #1528 #1523 #1343 #1337 #998 #1125 #1510 #1036 #1357 #934 #1151 #973 #1373 #1074 #1358)
#1788 := [th-lemma]: #1787
#1789 := [unit-resolution #1788 #1786 #1781 #694 #1440 #724 #1684 #746 #668 #772 #1780 #798 #1775 #828 #1774 #854 #1773]: #506
#1790 := (or #476 #1337 #1343 #1523 #1036 #1357 #998 #1125 #973 #147 #1373 #1074 #1358 #1151 #194)
#1791 := [th-lemma]: #1790
#1792 := [unit-resolution #1791 #1535 #1440 #724 #1684 #746 #1786 #772 #1780 #798 #1775 #828 #1774 #854 #1763]: #476
#1793 := [unit-resolution #1221 #1792]: #1191
#1794 := [unit-resolution #1320 #1793]: #1185
#1795 := (or #516 #1372 #1489 #1409 #1037 #1188 #1371 #935 #972 #1509 #1075 #1350 #1150)
#1796 := [th-lemma]: #1795
#1797 := [unit-resolution #1796 #1620 #698 #720 #1459 #776 #1447 #802 #1540 #850 #1794 #876 #1765]: #516
#1798 := [unit-resolution #1322 #1793]: #1187
#1799 := (or #515 #1511 #1337 #1357 #1036 #1189 #1510 #934 #973 #1373 #1074 #1358 #1151)
#1800 := [th-lemma]: #1799
#1801 := [unit-resolution #1800 #1786 #1440 #724 #694 #772 #1780 #798 #1774 #854 #1798 #880 #1781]: #515
#1802 := [unit-resolution #646 #1801 #1797 #1789 #1768]: false
#1804 := [lemma #1802]: #1803
#2011 := [unit-resolution #1804 #1535 #1540 #1775 #1774 #1762]: #147
#2012 := [unit-resolution #955 #2011]: #925
#2013 := [unit-resolution #1238 #2012]: #921
#2016 := (or #516 #1188 #935 #972 #1150)
#2017 := [unit-resolution #1796 #698 #720 #1459 #776 #1447 #802 #850 #876]: #2016
#2018 := [unit-resolution #2017 #1620 #2015 #1540 #1331]: #935
#2019 := [th-lemma #2018 #2013 #2011]: false
#2021 := [lemma #2019]: #2020
#2071 := [unit-resolution #2021 #2070 #1331 #1677 #1873 #1705]: #194
#2072 := [unit-resolution #993 #2071]: #963
#2073 := [unit-resolution #2010 #1675]: #288
#2074 := [unit-resolution #1069 #2073]: #1039
#2075 := [unit-resolution #1272 #2074]: #1033
#2076 := (or #516 #1036 #1188 #935 #1150 #960 #1087)
#1823 := (or #516 #1372 #1489 #1357 #1036 #1188 #1371 #935 #1509 #1350 #1150 #960 #1523 #998 #1087)
#1824 := [th-lemma]: #1823
#2077 := [unit-resolution #1824 #720 #1684 #746 #698 #772 #802 #850 #876]: #2076
#2078 := [unit-resolution #2077 #2075 #2015 #2045 #2069 #1331 #2070]: #960
#2079 := [unit-resolution #1248 #2078 #2072]: false
#2081 := [lemma #2079]: #2080
#2092 := [unit-resolution #2081 #1331]: #1109
#2093 := [unit-resolution #1735 #2092]: #382
#2094 := [unit-resolution #1960 #2093 #1870]: #1123
#2095 := (or #516 #923 #1074 #1036 #1162 #1125 #1188)
#2096 := [unit-resolution #1712 #1440 #724 #1684 #746 #698 #772 #798 #828 #850 #876]: #2095
#2097 := [unit-resolution #2096 #1631 #2015 #2094 #1331 #2091 #2033]: #1074
#2098 := [unit-resolution #1284 #2097]: #1076
#2099 := [unit-resolution #1107 #2098 #2088]: false
#2101 := [lemma #2099]: #2100
#2102 := [unit-resolution #2101 #1331]: #429
#2103 := [unit-resolution #1183 #2102]: #1153
#2104 := [unit-resolution #1308 #2103]: #1147
#2105 := [unit-resolution #2077 #2104 #2015 #2045 #2069 #1331 #2091]: #960
#2106 := [unit-resolution #1248 #2105]: #962
#2107 := [unit-resolution #2017 #2104 #2015 #2069 #1331]: #972
#2108 := [unit-resolution #1254 #2107]: #974
#2109 := [unit-resolution #994 #2108]: #194
#2110 := [unit-resolution #993 #2109 #2106]: false
#2111 := [lemma #2110]: #516
#2127 := (or #1199 #1189 #477)
#2128 := [th-lemma]: #2127
#2129 := [unit-resolution #2128 #1864 #1997]: #1199
#2125 := (or #335 #288)
#1806 := [unit-resolution #1108 #1422]: #1089
#1829 := [unit-resolution #1290 #1806]: #1084
#2117 := (or #515 #1511 #1337 #1151 #1189 #1358 #922 #1510 #1409 #960 #1509 #1049 #1086)
#2118 := [th-lemma]: #2117
#2119 := [unit-resolution #2118 #1829 #1924 #720 #1468 #776 #694 #798 #2116 #854 #1864 #880 #1928]: #515
#2120 := (or #101 #922 #1510 #1409 #960 #1509 #1049 #335 #288)
#2121 := [th-lemma]: #2120
#2122 := [unit-resolution #2121 #1422 #694 #1924 #720 #1405 #1468 #776 #1928]: #101
#2123 := [unit-resolution #918 #2122]: #899
#2124 := [unit-resolution #1916 #2123 #2119 #2111 #1497 #1925 #2033 #2116 #1928 #1924 #2115 #2112]: false
#2126 := [lemma #2124]: #2125
#2130 := [unit-resolution #2126 #1405]: #335
#2131 := [unit-resolution #1107 #2130]: #1077
#2132 := [unit-resolution #1284 #2131]: #1071
#2133 := [unit-resolution #1933 #2132 #2129 #2115 #1928 #2112 #1924]: #515
#2134 := [unit-resolution #1916 #2133 #2111 #1497 #1925 #2033 #2116 #1928 #1924 #2115 #2112]: #898
#2135 := [unit-resolution #918 #2134]: #100
#2136 := [unit-resolution #917 #2135]: #887
#2137 := [unit-resolution #1224 #2136]: #881
#2138 := [unit-resolution #1943 #2137 #1497 #1870 #2116 #1928]: #506
#2139 := [unit-resolution #646 #2138 #2111 #2133]: #632
#2140 := [unit-resolution #1908 #2139 #1928 #694 #1924 #720 #1684 #746 #1468 #776 #2115 #824 #2112 #850 #672]: #897
#2141 := [th-lemma #2140 #2135 #1742]: false
#2142 := [lemma #2141]: #288
#2143 := [unit-resolution #1069 #2142]: #1039
#2144 := [unit-resolution #1272 #2143]: #1033
#2145 := [hypothesis]: #1150
#2146 := [unit-resolution #1308 #2145]: #1152
#2147 := [unit-resolution #1183 #2146]: #430
#2148 := [unit-resolution #1184 #2147]: #1165
#2149 := [unit-resolution #1314 #2148]: #1160
#2150 := [unit-resolution #1761 #2147]: #1109
#2151 := [unit-resolution #1735 #2150]: #382
#2152 := [unit-resolution #1960 #2151 #1870]: #1123
#2153 := [unit-resolution #1988 #2152 #2149 #2033 #2144]: #509
#2154 := (or #1149 #1147)
#2155 := [th-lemma]: #2154
#2156 := [unit-resolution #2155 #2145]: #1149
#2157 := [unit-resolution #1894 #2147]: #1200
#2158 := [unit-resolution #2061 #2149 #2015 #1870 #2157 #2151]: #1086
#2159 := [unit-resolution #1290 #2158]: #1088
#2160 := [unit-resolution #1108 #2159]: #335
#2161 := [unit-resolution #1107 #2160]: #1077
#2162 := [unit-resolution #1284 #2161]: #1071
#2163 := [unit-resolution #1971 #2162 #2149 #2152 #2156 #2144]: #147
#2164 := [unit-resolution #955 #2163]: #925
#2165 := [unit-resolution #1236 #2164]: #919
#2166 := [unit-resolution #1316 #2148]: #1161
#2167 := (or #100 #923 #1371 #1357 #1523 #998 #1036 #383 #429 #1343 #1113 #973 #1373 #1074 #1358)
#2168 := [th-lemma]: #2167
#2169 := [unit-resolution #2168 #2162 #698 #1440 #724 #1684 #746 #2144 #772 #2033 #798 #2151 #1870 #828 #2147]: #100
#2170 := [unit-resolution #917 #2169]: #887
#2171 := [unit-resolution #1224 #2170]: #881
#2172 := [unit-resolution #1992 #2171 #2166 #2150 #2162 #2144 #2165]: #506
#2173 := (or #195 #1357 #1523 #998 #1036 #383 #429 #1343 #1113)
#2174 := [th-lemma]: #2173
#2175 := [unit-resolution #2174 #2151 #746 #2144 #772 #1684 #1870 #828 #2147]: #195
#2176 := [unit-resolution #994 #2175]: #975
#2177 := [unit-resolution #1254 #2176]: #970
#2178 := (or #515 #922 #1074 #1036 #972 #1163 #1112)
#2179 := [unit-resolution #1622 #694 #720 #1404 #750 #772 #1864 #798 #824 #854 #880]: #2178
#2180 := [unit-resolution #2179 #2177 #2150 #2162 #2166 #2144 #2165]: #515
#2181 := [unit-resolution #646 #2180 #2172 #2111 #2153]: false
#2182 := [lemma #2181]: #1147
#1805 := [unit-resolution #1302 #1729]: #1122
#2231 := (or #194 #382)
#2183 := (or #1150 #429 #1163)
#2184 := [th-lemma]: #2183
#2185 := [unit-resolution #2184 #1333 #2182]: #1163
#2186 := [unit-resolution #1316 #2185 #1334]: false
#2187 := [lemma #2186]: #429
#2196 := [unit-resolution #1183 #2187]: #1153
#2197 := [unit-resolution #1310 #2196]: #1149
#1817 := [unit-resolution #1304 #1729]: #1123
#2217 := [unit-resolution #1804 #1535 #2182 #1817 #2197 #1805]: #147
#2218 := [unit-resolution #955 #2217]: #925
#2219 := [unit-resolution #1236 #2218]: #919
#2210 := [unit-resolution #1976 #2197 #2187]: #1161
#2220 := (or #509 #1124 #935 #1150 #972)
#2221 := [unit-resolution #1767 #698 #672 #720 #1703 #750 #1459 #776 #1447 #802 #824 #850 #1742]: #2220
#2222 := [unit-resolution #2221 #1620 #2069 #1805 #2182]: #509
#2223 := (or #515 #922 #1163 #972 #1124)
#2224 := [unit-resolution #1707 #720 #1703 #750 #1459 #776 #1447 #802 #694 #824 #854 #880 #1864]: #2223
#2225 := [unit-resolution #2224 #2219 #1805 #1620 #2210]: #515
#2226 := [unit-resolution #646 #2225 #2111 #2222]: #631
#2211 := (or #506 #884 #922 #1163 #1124)
#2212 := [unit-resolution #1724 #668 #694 #1703 #750 #1459 #776 #824 #854]: #2211
#2227 := [unit-resolution #2212 #2226 #1805 #2210 #2219]: #884
#2228 := [unit-resolution #1224 #2227]: #886
#2229 := [unit-resolution #917 #2228]: #101
#2230 := [th-lemma #1620 #720 #1459 #776 #1447 #802 #2033 #2229 #698 #1428 #2217]: false
#2232 := [lemma #2230]: #2231
#2242 := [unit-resolution #2232 #1428]: #194
#2243 := [unit-resolution #993 #2242]: #963
#2244 := [unit-resolution #1248 #2243]: #957
#2193 := (or #509 #1124 #1036 #935 #1150 #960 #1087)
#1814 := (or #509 #885 #1522 #1523 #1365 #1489 #998 #1124 #1371 #1036 #1357 #935 #1150 #1509 #1350 #960 #1087)
#1815 := [th-lemma]: #1814
#2194 := [unit-resolution #1815 #698 #720 #1684 #746 #672 #772 #802 #824 #850 #1742]: #2193
#2245 := [unit-resolution #2194 #2244 #2069 #2144 #2045 #1805 #2182]: #509
#2205 := (or #100 #935 #1036 #382 #960 #1087)
#1834 := (or #100 #1371 #935 #1523 #1036 #1357 #998 #1509 #382 #1350 #960 #1087)
#1835 := [th-lemma]: #1834
#2206 := [unit-resolution #1835 #698 #720 #1684 #746 #772 #802]: #2205
#2246 := [unit-resolution #2206 #2244 #2045 #2069 #2144 #1428]: #100
#2247 := [unit-resolution #917 #2246]: #887
#2248 := [unit-resolution #1224 #2247]: #881
#2215 := (or #335 #382)
#2188 := (or #335 #194)
#2189 := [unit-resolution #1777 #750 #1459 #776 #1703]: #2188
#2190 := [unit-resolution #2189 #1422]: #194
#2191 := [unit-resolution #993 #2190]: #963
#2192 := [unit-resolution #1248 #2191]: #957
#2195 := [unit-resolution #2194 #2192 #2069 #2144 #2045 #1805 #2182]: #509
#2198 := [unit-resolution #1250 #2191]: #959
#1840 := (or #335 #934 #1151 #961 #935 #960 #1150 #382)
#1807 := [unit-resolution #1292 #1806]: #1085
#1808 := [hypothesis]: #933
#1809 := (or #288 #382 #1350 #335 #1087)
#1810 := [th-lemma]: #1809
#1811 := [unit-resolution #1810 #1422 #1807 #802 #1428]: #288
#1812 := [unit-resolution #1069 #1811]: #1039
#1813 := [unit-resolution #1272 #1812]: #1033
#1816 := [unit-resolution #1815 #1813 #1808 #698 #1536 #720 #1684 #746 #672 #772 #1807 #802 #1805 #824 #1540 #850 #1742]: #509
#1818 := (or #476 #1337 #1343 #1125 #1151 #335 #382)
#1819 := [th-lemma]: #1818
#1820 := [unit-resolution #1819 #1422 #1817 #828 #1774 #854 #1428]: #476
#1821 := [unit-resolution #1221 #1820]: #1191
#1822 := [unit-resolution #1320 #1821]: #1185
#1825 := [unit-resolution #1824 #1813 #1536 #720 #1684 #746 #698 #772 #1807 #802 #1540 #850 #1822 #876 #1808]: #516
#1826 := [hypothesis]: #932
#1827 := [unit-resolution #1322 #1821]: #1187
#1830 := (or #515 #1511 #1337 #1409 #1037 #1189 #1510 #934 #1373 #1358 #1151 #961 #1364 #999 #1086)
#1831 := [th-lemma]: #1830
#1832 := [unit-resolution #1831 #1829 #1828 #724 #1703 #750 #1459 #776 #694 #798 #1774 #854 #1827 #880 #1826]: #515
#1833 := [unit-resolution #646 #1832 #1825 #1816]: #631
#1836 := [unit-resolution #1835 #1813 #698 #1536 #720 #1684 #746 #1808 #772 #1807 #802 #1428]: #100
#1837 := [unit-resolution #917 #1836]: #887
#1838 := [unit-resolution #1224 #1837]: #881
#1839 := [th-lemma #1838 #668 #750 #828 #854 #1703 #1817 #694 #1459 #776 #1826 #1774 #724 #798 #1828 #1829 #1833]: false
#1841 := [lemma #1839]: #1840
#2199 := [unit-resolution #1841 #2198 #2069 #1422 #2197 #2192 #2182 #1428]: #934
#2200 := [unit-resolution #1242 #2199]: #936
#2201 := [unit-resolution #956 #2200]: #147
#2202 := [unit-resolution #955 #2201]: #925
#2203 := [unit-resolution #1236 #2202]: #919
#2204 := [unit-resolution #2118 #2203 #1829 #720 #1468 #776 #694 #798 #2197 #854 #1864 #880 #2192]: #515
#2207 := [unit-resolution #2206 #2192 #2045 #2069 #2144 #1428]: #100
#2208 := [unit-resolution #917 #2207]: #887
#2209 := [unit-resolution #1224 #2208]: #881
#2213 := [unit-resolution #2212 #2203 #1805 #2210 #2209]: #506
#2214 := [unit-resolution #646 #2213 #2204 #2111 #2195]: false
#2216 := [lemma #2214]: #2215
#2249 := [unit-resolution #2216 #1428]: #335
#2250 := [unit-resolution #1107 #2249]: #1077
#2251 := [unit-resolution #1284 #2250]: #1071
#2252 := (or #1084 #1074 #1357 #1523 #998 #1036 #195)
#2253 := [th-lemma]: #2252
#2254 := [unit-resolution #2253 #2251 #746 #2144 #772 #1684 #2242]: #1084
#2255 := [unit-resolution #1250 #2243]: #959
#2240 := (or #934 #632 #884 #1074 #1125 #961 #1086)
#2233 := (or #515 #934 #1151 #961 #1086)
#2234 := [unit-resolution #1831 #1864 #724 #1703 #750 #1459 #776 #694 #798 #854 #880]: #2233
#2235 := [unit-resolution #2234 #1826 #2197 #1828 #2054]: #515
#2236 := (or #506 #884 #1125 #1036 #934 #1151 #1074)
#2237 := [unit-resolution #1788 #694 #1440 #724 #1684 #746 #668 #772 #798 #828 #854]: #2236
#2238 := [unit-resolution #2237 #1826 #1636 #1638 #1775 #2197 #2144]: #506
#2239 := [unit-resolution #646 #2238 #2235 #2111 #1628]: false
#2241 := [lemma #2239]: #2240
#2256 := [unit-resolution #2241 #2245 #2248 #2251 #1817 #2255 #2254]: #934
#2257 := [unit-resolution #1242 #2256]: #936
#2258 := [unit-resolution #956 #2257]: #147
#2259 := [unit-resolution #955 #2258]: #925
#2260 := [unit-resolution #1236 #2259]: #919
#2261 := [unit-resolution #2212 #2260 #1805 #2210 #2248]: #506
#2262 := [unit-resolution #2118 #2260 #2254 #720 #1468 #776 #694 #798 #2197 #854 #1864 #880 #2244]: #515
#2263 := [unit-resolution #646 #2262 #2261 #2111 #2245]: false
#2264 := [lemma #2263]: #382
#2265 := [unit-resolution #1145 #2264]: #1115
#2266 := [unit-resolution #1296 #2265]: #1109
#2267 := [unit-resolution #2189 #1535]: #335
#2268 := [unit-resolution #1107 #2267]: #1077
#2269 := [unit-resolution #1284 #2268]: #1071
#2270 := [unit-resolution #1966 #2269 #2142 #2266 #2182]: #1160
#2271 := (or #1008 #998 #1036 #1357 #1074 #1358 #383)
#2272 := [th-lemma]: #2271
#2273 := [unit-resolution #2272 #2269 #2144 #772 #1684 #798 #2264]: #1008
#2274 := (or #509 #1010 #1113 #923 #1162)
#2275 := [unit-resolution #1608 #672 #698 #1742 #746 #1459 #776 #1447 #802 #828 #850]: #2274
#2276 := [unit-resolution #2275 #2273 #1870 #2270 #2033]: #509
#2277 := [unit-resolution #1960 #2264 #1870]: #1123
#2278 := [unit-resolution #1971 #2270 #2269 #2277 #2197 #2144]: #147
#2279 := [unit-resolution #955 #2278]: #925
#2280 := [unit-resolution #1236 #2279]: #919
#2281 := (or #1010 #999 #923 #100 #1371 #961 #1373)
#2282 := [th-lemma]: #2281
#2283 := [unit-resolution #2282 #2273 #698 #1584 #724 #1703 #2033]: #100
#2284 := [unit-resolution #917 #2283]: #887
#2285 := [unit-resolution #1224 #2284]: #881
#2286 := [unit-resolution #1992 #2285 #2210 #2266 #2269 #2144 #2280]: #506
#2287 := [unit-resolution #2179 #2280 #2266 #1620 #2210 #2144 #2269]: #515
#2288 := [unit-resolution #646 #2287 #2286 #2111 #2276]: false
#2289 := [lemma #2288]: #194
#2305 := [unit-resolution #2253 #2302 #746 #2144 #772 #1684 #2289]: #1074
#2306 := [unit-resolution #1284 #2305]: #1076
#2307 := [unit-resolution #1107 #2306 #2304]: false
#2308 := [lemma #2307]: #1084
#2300 := (or #1086 #515)
#2290 := [hypothesis]: #633
#2291 := [unit-resolution #993 #2289]: #963
#2292 := [unit-resolution #1250 #2291]: #959
#2293 := [unit-resolution #2234 #2054 #2197 #2292 #2290]: #934
#2294 := [unit-resolution #1242 #2293]: #936
#2295 := [unit-resolution #1248 #2291]: #957
#2296 := [unit-resolution #2118 #2054 #2290 #720 #1468 #776 #694 #798 #2197 #854 #1864 #880 #2295]: #922
#2297 := [unit-resolution #1236 #2296]: #924
#2298 := [unit-resolution #955 #2297]: #148
#2299 := [unit-resolution #956 #2298 #2294]: false
#2301 := [lemma #2299]: #2300
#1848 := [unit-resolution #2301 #2308]: #515
#1851 := [hypothesis]: #632
#1852 := (or #897 #1522 #509 #1523 #998 #1365 #1489 #1150 #1509 #1350 #633 #1372 #1188 #960 #1087 #1112)
#1853 := [th-lemma]: #1852
#1846 := [unit-resolution #1853 #1851 #2295 #720 #1684 #746 #2045 #802 #2266 #824 #2182 #850 #2015 #876 #672 #1848]: #897
#1847 := [unit-resolution #1232 #1846]: #898
#1854 := [unit-resolution #918 #1847]: #100
#1855 := (or #509 #1124)
#1856 := [unit-resolution #2194 #2069 #2144 #2045 #2295 #2182]: #1855
#2309 := [unit-resolution #1856 #1851]: #1124
#2310 := [th-lemma #1848 #876 #850 #2182 #2015 #2309 #2266 #1854]: false
#2311 := [lemma #2310]: #509
#2312 := (or #631 #632)
#2313 := [unit-resolution #646 #2111 #1848]: #2312
#2314 := [unit-resolution #2313 #2311]: #631
#2315 := (or #884 #633 #1372 #1188 #1125 #1528 #506 #1364 #999 #1343 #1373 #1358 #961 #1086)
#2316 := [th-lemma]: #2315
#2317 := [unit-resolution #2316 #668 #2292 #724 #1703 #750 #2308 #798 #2277 #828 #2015 #876 #2314 #1848]: #884
#2318 := [unit-resolution #1224 #2317]: #886
#2319 := (or #896 #1528 #506 #1364 #999 #1343 #1337 #1151 #1373 #1358 #634 #1511 #1189 #961 #1086 #1113)
#2320 := [th-lemma]: #2319
#2321 := [unit-resolution #2320 #668 #2292 #724 #1703 #750 #2308 #798 #1870 #828 #2197 #854 #1864 #880 #2314 #2111]: #896
#2322 := [unit-resolution #1230 #2321]: #898
#2323 := [unit-resolution #918 #2322]: #100
[unit-resolution #917 #2323 #2318]: false
unsat
258b6cd4609a61b7800235c7f356739cfb8996c5 52 0
#2 := false
#8 := 1::real
decl uf_1 :: real
#4 := uf_1
#6 := 2::real
#7 := (* 2::real uf_1)
#9 := (+ #7 1::real)
#5 := (+ uf_1 uf_1)
#10 := (< #5 #9)
#11 := (or false #10)
#12 := (or #10 #11)
#13 := (not #12)
#64 := (iff #13 false)
#32 := (+ 1::real #7)
#35 := (< #7 #32)
#52 := (not #35)
#62 := (iff #52 false)
#1 := true
#57 := (not true)
#60 := (iff #57 false)
#61 := [rewrite]: #60
#58 := (iff #52 #57)
#55 := (iff #35 true)
#56 := [rewrite]: #55
#59 := [monotonicity #56]: #58
#63 := [trans #59 #61]: #62
#53 := (iff #13 #52)
#50 := (iff #12 #35)
#45 := (or #35 #35)
#48 := (iff #45 #35)
#49 := [rewrite]: #48
#46 := (iff #12 #45)
#43 := (iff #11 #35)
#38 := (or false #35)
#41 := (iff #38 #35)
#42 := [rewrite]: #41
#39 := (iff #11 #38)
#36 := (iff #10 #35)
#33 := (= #9 #32)
#34 := [rewrite]: #33
#30 := (= #5 #7)
#31 := [rewrite]: #30
#37 := [monotonicity #31 #34]: #36
#40 := [monotonicity #37]: #39
#44 := [trans #40 #42]: #43
#47 := [monotonicity #37 #44]: #46
#51 := [trans #47 #49]: #50
#54 := [monotonicity #51]: #53
#65 := [trans #54 #63]: #64
#29 := [asserted]: #13
[mp #29 #65]: false
unsat
3d1d0473f97c11d6c4d10f6e0313b2e2f4aac879 59 0
#2 := false
#55 := 0::int
#7 := 2::int
decl uf_1 :: int
#4 := uf_1
#8 := (mod uf_1 2::int)
#58 := (>= #8 0::int)
#61 := (not #58)
#5 := 1::int
#9 := (* 2::int #8)
#10 := (+ #9 1::int)
#11 := (+ uf_1 #10)
#6 := (+ uf_1 1::int)
#12 := (<= #6 #11)
#13 := (not #12)
#66 := (iff #13 #61)
#39 := (+ uf_1 #9)
#40 := (+ 1::int #39)
#30 := (+ 1::int uf_1)
#45 := (<= #30 #40)
#48 := (not #45)
#64 := (iff #48 #61)
#56 := (>= #9 0::int)
#51 := (not #56)
#62 := (iff #51 #61)
#59 := (iff #56 #58)
#60 := [rewrite]: #59
#63 := [monotonicity #60]: #62
#52 := (iff #48 #51)
#53 := (iff #45 #56)
#54 := [rewrite]: #53
#57 := [monotonicity #54]: #52
#65 := [trans #57 #63]: #64
#49 := (iff #13 #48)
#46 := (iff #12 #45)
#43 := (= #11 #40)
#33 := (+ 1::int #9)
#36 := (+ uf_1 #33)
#41 := (= #36 #40)
#42 := [rewrite]: #41
#37 := (= #11 #36)
#34 := (= #10 #33)
#35 := [rewrite]: #34
#38 := [monotonicity #35]: #37
#44 := [trans #38 #42]: #43
#31 := (= #6 #30)
#32 := [rewrite]: #31
#47 := [monotonicity #32 #44]: #46
#50 := [monotonicity #47]: #49
#67 := [trans #50 #65]: #66
#29 := [asserted]: #13
#68 := [mp #29 #67]: #61
#1 := true
#28 := [true-axiom]: true
#142 := (or false #58)
#143 := [th-lemma]: #142
#144 := [unit-resolution #143 #28]: #58
[unit-resolution #144 #68]: false
unsat
f768cbe713eb8031e45b1a78d0f49a07f5398eb8 54 0
#2 := false
#5 := 2::int
decl uf_1 :: int
#4 := uf_1
#6 := (mod uf_1 2::int)
#55 := (>= #6 2::int)
#9 := 3::int
#10 := (+ uf_1 3::int)
#7 := (+ #6 #6)
#8 := (+ uf_1 #7)
#11 := (< #8 #10)
#12 := (not #11)
#60 := (iff #12 #55)
#35 := (+ 3::int uf_1)
#29 := (* 2::int #6)
#32 := (+ uf_1 #29)
#38 := (< #32 #35)
#41 := (not #38)
#58 := (iff #41 #55)
#48 := (>= #29 3::int)
#56 := (iff #48 #55)
#57 := [rewrite]: #56
#53 := (iff #41 #48)
#46 := (not #48)
#45 := (not #46)
#51 := (iff #45 #48)
#52 := [rewrite]: #51
#49 := (iff #41 #45)
#47 := (iff #38 #46)
#44 := [rewrite]: #47
#50 := [monotonicity #44]: #49
#54 := [trans #50 #52]: #53
#59 := [trans #54 #57]: #58
#42 := (iff #12 #41)
#39 := (iff #11 #38)
#36 := (= #10 #35)
#37 := [rewrite]: #36
#33 := (= #8 #32)
#30 := (= #7 #29)
#31 := [rewrite]: #30
#34 := [monotonicity #31]: #33
#40 := [monotonicity #34 #37]: #39
#43 := [monotonicity #40]: #42
#61 := [trans #43 #59]: #60
#28 := [asserted]: #12
#62 := [mp #28 #61]: #55
#127 := (not #55)
#1 := true
#27 := [true-axiom]: true
#137 := (or false #127)
#138 := [th-lemma]: #137
#139 := [unit-resolution #138 #27]: #127
[unit-resolution #139 #62]: false
unsat
2c2bcacfbe018175dd39ce04dd5cbe02c800a0dd 118 0
#2 := false
#5 := 0::real
decl uf_1 :: real
#4 := uf_1
#94 := (<= uf_1 0::real)
#17 := 2::real
#40 := (* 2::real uf_1)
#102 := (<= #40 0::real)
#103 := (>= #40 0::real)
#105 := (not #103)
#104 := (not #102)
#106 := (or #104 #105)
#107 := (not #106)
#88 := (= #40 0::real)
#108 := (iff #88 #107)
#109 := [rewrite]: #108
#16 := 4::real
#11 := (- uf_1)
#10 := (< uf_1 0::real)
#12 := (ite #10 #11 uf_1)
#9 := 1::real
#13 := (< 1::real #12)
#14 := (not #13)
#15 := (or #13 #14)
#18 := (ite #15 4::real 2::real)
#19 := (* #18 uf_1)
#8 := (+ uf_1 uf_1)
#20 := (= #8 #19)
#21 := (not #20)
#22 := (not #21)
#89 := (iff #22 #88)
#70 := (* 4::real uf_1)
#73 := (= #40 #70)
#86 := (iff #73 #88)
#87 := [rewrite]: #86
#84 := (iff #22 #73)
#76 := (not #73)
#79 := (not #76)
#82 := (iff #79 #73)
#83 := [rewrite]: #82
#80 := (iff #22 #79)
#77 := (iff #21 #76)
#74 := (iff #20 #73)
#71 := (= #19 #70)
#68 := (= #18 4::real)
#1 := true
#63 := (ite true 4::real 2::real)
#66 := (= #63 4::real)
#67 := [rewrite]: #66
#64 := (= #18 #63)
#61 := (iff #15 true)
#43 := -1::real
#44 := (* -1::real uf_1)
#47 := (ite #10 #44 uf_1)
#50 := (< 1::real #47)
#53 := (not #50)
#56 := (or #50 #53)
#59 := (iff #56 true)
#60 := [rewrite]: #59
#57 := (iff #15 #56)
#54 := (iff #14 #53)
#51 := (iff #13 #50)
#48 := (= #12 #47)
#45 := (= #11 #44)
#46 := [rewrite]: #45
#49 := [monotonicity #46]: #48
#52 := [monotonicity #49]: #51
#55 := [monotonicity #52]: #54
#58 := [monotonicity #52 #55]: #57
#62 := [trans #58 #60]: #61
#65 := [monotonicity #62]: #64
#69 := [trans #65 #67]: #68
#72 := [monotonicity #69]: #71
#41 := (= #8 #40)
#42 := [rewrite]: #41
#75 := [monotonicity #42 #72]: #74
#78 := [monotonicity #75]: #77
#81 := [monotonicity #78]: #80
#85 := [trans #81 #83]: #84
#90 := [trans #85 #87]: #89
#39 := [asserted]: #22
#91 := [mp #39 #90]: #88
#110 := [mp #91 #109]: #107
#111 := [not-or-elim #110]: #102
#127 := (or #94 #104)
#128 := [th-lemma]: #127
#129 := [unit-resolution #128 #111]: #94
#92 := (>= uf_1 0::real)
#112 := [not-or-elim #110]: #103
#130 := (or #92 #105)
#131 := [th-lemma]: #130
#132 := [unit-resolution #131 #112]: #92
#114 := (not #94)
#113 := (not #92)
#115 := (or #113 #114)
#95 := (and #92 #94)
#98 := (not #95)
#124 := (iff #98 #115)
#116 := (not #115)
#119 := (not #116)
#122 := (iff #119 #115)
#123 := [rewrite]: #122
#120 := (iff #98 #119)
#117 := (iff #95 #116)
#118 := [rewrite]: #117
#121 := [monotonicity #118]: #120
#125 := [trans #121 #123]: #124
#6 := (= uf_1 0::real)
#7 := (not #6)
#99 := (iff #7 #98)
#96 := (iff #6 #95)
#97 := [rewrite]: #96
#100 := [monotonicity #97]: #99
#38 := [asserted]: #7
#101 := [mp #38 #100]: #98
#126 := [mp #101 #125]: #115
[unit-resolution #126 #132 #129]: false
unsat
c8ed8eae868ac61c8f3a616f1b0b1df4032f4eac 208 0
#2 := false
#9 := 0::int
#11 := 4::int
decl uf_1 :: int
#4 := uf_1
#189 := (div uf_1 4::int)
#210 := -4::int
#211 := (* -4::int #189)
#12 := (mod uf_1 4::int)
#134 := -1::int
#209 := (* -1::int #12)
#212 := (+ #209 #211)
#213 := (+ uf_1 #212)
#214 := (<= #213 0::int)
#215 := (not #214)
#208 := (>= #213 0::int)
#207 := (not #208)
#216 := (or #207 #215)
#217 := (not #216)
#1 := true
#36 := [true-axiom]: true
#393 := (or false #217)
#394 := [th-lemma]: #393
#395 := [unit-resolution #394 #36]: #217
#224 := (or #216 #214)
#225 := [def-axiom]: #224
#396 := [unit-resolution #225 #395]: #214
#222 := (or #216 #208)
#223 := [def-axiom]: #222
#397 := [unit-resolution #223 #395]: #208
#250 := (>= #12 4::int)
#251 := (not #250)
#398 := (or false #251)
#399 := [th-lemma]: #398
#400 := [unit-resolution #399 #36]: #251
#13 := 3::int
#90 := (>= #12 3::int)
#92 := (not #90)
#89 := (<= #12 3::int)
#91 := (not #89)
#93 := (or #91 #92)
#94 := (not #93)
#14 := (= #12 3::int)
#95 := (iff #14 #94)
#96 := [rewrite]: #95
#38 := [asserted]: #14
#97 := [mp #38 #96]: #94
#99 := [not-or-elim #97]: #90
#7 := 2::int
#261 := (div uf_1 2::int)
#140 := -2::int
#276 := (* -2::int #261)
#15 := (mod uf_1 2::int)
#275 := (* -1::int #15)
#277 := (+ #275 #276)
#278 := (+ uf_1 #277)
#279 := (<= #278 0::int)
#280 := (not #279)
#274 := (>= #278 0::int)
#273 := (not #274)
#281 := (or #273 #280)
#282 := (not #281)
#408 := (or false #282)
#409 := [th-lemma]: #408
#410 := [unit-resolution #409 #36]: #282
#289 := (or #281 #279)
#290 := [def-axiom]: #289
#411 := [unit-resolution #290 #410]: #279
#287 := (or #281 #274)
#288 := [def-axiom]: #287
#412 := [unit-resolution #288 #410]: #274
#16 := 1::int
#55 := (>= #15 1::int)
#100 := (not #55)
decl uf_2 :: int
#5 := uf_2
#18 := (mod uf_2 2::int)
#61 := (<= #18 1::int)
#102 := (not #61)
#375 := [hypothesis]: #102
#358 := (>= #18 2::int)
#359 := (not #358)
#403 := (or false #359)
#404 := [th-lemma]: #403
#405 := [unit-resolution #404 #36]: #359
#406 := [th-lemma #405 #375]: false
#407 := [lemma #406]: #61
#413 := (or #100 #102)
#62 := (>= #18 1::int)
#315 := (div uf_2 2::int)
#330 := (* -2::int #315)
#329 := (* -1::int #18)
#331 := (+ #329 #330)
#332 := (+ uf_2 #331)
#333 := (<= #332 0::int)
#334 := (not #333)
#328 := (>= #332 0::int)
#327 := (not #328)
#335 := (or #327 #334)
#336 := (not #335)
#376 := (or false #336)
#377 := [th-lemma]: #376
#378 := [unit-resolution #377 #36]: #336
#343 := (or #335 #333)
#344 := [def-axiom]: #343
#379 := [unit-resolution #344 #378]: #333
#341 := (or #335 #328)
#342 := [def-axiom]: #341
#380 := [unit-resolution #342 #378]: #328
#103 := (not #62)
#381 := [hypothesis]: #103
#352 := (>= #18 0::int)
#382 := (or false #352)
#383 := [th-lemma]: #382
#384 := [unit-resolution #383 #36]: #352
#6 := (+ uf_1 uf_2)
#116 := (div #6 2::int)
#141 := (* -2::int #116)
#8 := (mod #6 2::int)
#139 := (* -1::int #8)
#142 := (+ #139 #141)
#143 := (+ uf_2 #142)
#144 := (+ uf_1 #143)
#138 := (<= #144 0::int)
#136 := (not #138)
#137 := (>= #144 0::int)
#135 := (not #137)
#145 := (or #135 #136)
#146 := (not #145)
#385 := (or false #146)
#386 := [th-lemma]: #385
#387 := [unit-resolution #386 #36]: #146
#153 := (or #145 #138)
#154 := [def-axiom]: #153
#388 := [unit-resolution #154 #387]: #138
#151 := (or #145 #137)
#152 := [def-axiom]: #151
#389 := [unit-resolution #152 #387]: #137
#78 := (<= #8 0::int)
#79 := (>= #8 0::int)
#81 := (not #79)
#80 := (not #78)
#82 := (or #80 #81)
#83 := (not #82)
#10 := (= #8 0::int)
#84 := (iff #10 #83)
#85 := [rewrite]: #84
#37 := [asserted]: #10
#86 := [mp #37 #85]: #83
#87 := [not-or-elim #86]: #78
#390 := (or false #79)
#391 := [th-lemma]: #390
#392 := [unit-resolution #391 #36]: #79
#401 := [th-lemma #99 #400 #397 #396 #392 #87 #389 #388 #384 #381 #380 #379]: false
#402 := [lemma #401]: #62
#57 := (<= #15 1::int)
#101 := (not #57)
#369 := [hypothesis]: #101
#304 := (>= #15 2::int)
#305 := (not #304)
#370 := (or false #305)
#371 := [th-lemma]: #370
#372 := [unit-resolution #371 #36]: #305
#373 := [th-lemma #372 #369]: false
#374 := [lemma #373]: #57
#104 := (or #100 #101 #102 #103)
#69 := (and #55 #57 #61 #62)
#74 := (not #69)
#113 := (iff #74 #104)
#105 := (not #104)
#108 := (not #105)
#111 := (iff #108 #104)
#112 := [rewrite]: #111
#109 := (iff #74 #108)
#106 := (iff #69 #105)
#107 := [rewrite]: #106
#110 := [monotonicity #107]: #109
#114 := [trans #110 #112]: #113
#19 := (= #18 1::int)
#17 := (= #15 1::int)
#20 := (and #17 #19)
#21 := (not #20)
#75 := (iff #21 #74)
#72 := (iff #20 #69)
#63 := (and #61 #62)
#58 := (and #55 #57)
#66 := (and #58 #63)
#70 := (iff #66 #69)
#71 := [rewrite]: #70
#67 := (iff #20 #66)
#64 := (iff #19 #63)
#65 := [rewrite]: #64
#59 := (iff #17 #58)
#60 := [rewrite]: #59
#68 := [monotonicity #60 #65]: #67
#73 := [trans #68 #71]: #72
#76 := [monotonicity #73]: #75
#39 := [asserted]: #21
#77 := [mp #39 #76]: #74
#115 := [mp #77 #114]: #104
#414 := [unit-resolution #115 #374 #402]: #413
#415 := [unit-resolution #414 #407]: #100
#298 := (>= #15 0::int)
#416 := (or false #298)
#417 := [th-lemma]: #416
#418 := [unit-resolution #417 #36]: #298
[th-lemma #418 #415 #412 #411 #99 #400 #397 #396]: false
unsat
7beaddc803d2c23197634dc63d56d564292d85fe 24 0
#2 := false
#4 := (exists (vars (?x1 int)) false)
#5 := (not #4)
#6 := (not #5)
#37 := (iff #6 false)
#1 := true
#32 := (not true)
#35 := (iff #32 false)
#36 := [rewrite]: #35
#33 := (iff #6 #32)
#30 := (iff #5 true)
#25 := (not false)
#28 := (iff #25 true)
#29 := [rewrite]: #28
#26 := (iff #5 #25)
#23 := (iff #4 false)
#24 := [elim-unused]: #23
#27 := [monotonicity #24]: #26
#31 := [trans #27 #29]: #30
#34 := [monotonicity #31]: #33
#38 := [trans #34 #36]: #37
#22 := [asserted]: #6
[mp #22 #38]: false
unsat
723fcd1ecb9fa59a7e0fede642f23063fb499818 24 0
#2 := false
#4 := (exists (vars (?x1 real)) false)
#5 := (not #4)
#6 := (not #5)
#37 := (iff #6 false)
#1 := true
#32 := (not true)
#35 := (iff #32 false)
#36 := [rewrite]: #35
#33 := (iff #6 #32)
#30 := (iff #5 true)
#25 := (not false)
#28 := (iff #25 true)
#29 := [rewrite]: #28
#26 := (iff #5 #25)
#23 := (iff #4 false)
#24 := [elim-unused]: #23
#27 := [monotonicity #24]: #26
#31 := [trans #27 #29]: #30
#34 := [monotonicity #31]: #33
#38 := [trans #34 #36]: #37
#22 := [asserted]: #6
[mp #22 #38]: false
unsat
a72d0e977596e1fac0cccee600f0bf9d29ed71aa 1 0
unsat
70141a690f46561f859d3deed80b9611816f9f81 1 0
unsat
41b6ddffa2c7efc9285d0e0a65d74c4325ef6ddb 1 0
unsat
a08fcdd29520930b0a940df57c3d8266dbefd10f 73 0
#2 := false
#5 := 0::int
#8 := 1::int
#143 := (= 1::int 0::int)
#145 := (iff #143 false)
#146 := [rewrite]: #145
decl ?x1!1 :: int
#47 := ?x1!1
#51 := (= ?x1!1 0::int)
decl ?x2!0 :: int
#46 := ?x2!0
#50 := (= ?x2!0 1::int)
#63 := (and #50 #51)
#69 := (= ?x2!0 ?x1!1)
#72 := (not #69)
#66 := (not #63)
#75 := (or #66 #72)
#78 := (not #75)
#48 := (= ?x1!1 ?x2!0)
#49 := (not #48)
#52 := (and #51 #50)
#53 := (not #52)
#54 := (or #53 #49)
#55 := (not #54)
#79 := (iff #55 #78)
#76 := (iff #54 #75)
#73 := (iff #49 #72)
#70 := (iff #48 #69)
#71 := [rewrite]: #70
#74 := [monotonicity #71]: #73
#67 := (iff #53 #66)
#64 := (iff #52 #63)
#65 := [rewrite]: #64
#68 := [monotonicity #65]: #67
#77 := [monotonicity #68 #74]: #76
#80 := [monotonicity #77]: #79
#7 := (:var 0 int)
#4 := (:var 1 int)
#11 := (= #4 #7)
#12 := (not #11)
#9 := (= #7 1::int)
#6 := (= #4 0::int)
#10 := (and #6 #9)
#32 := (not #10)
#33 := (or #32 #12)
#36 := (forall (vars (?x1 int) (?x2 int)) #33)
#39 := (not #36)
#56 := (~ #39 #55)
#57 := [sk]: #56
#13 := (implies #10 #12)
#14 := (forall (vars (?x1 int) (?x2 int)) #13)
#15 := (not #14)
#40 := (iff #15 #39)
#37 := (iff #14 #36)
#34 := (iff #13 #33)
#35 := [rewrite]: #34
#38 := [quant-intro #35]: #37
#41 := [monotonicity #38]: #40
#31 := [asserted]: #15
#44 := [mp #31 #41]: #39
#60 := [mp~ #44 #57]: #55
#61 := [mp #60 #80]: #78
#62 := [not-or-elim #61]: #63
#82 := [and-elim #62]: #51
#141 := (= 1::int ?x1!1)
#83 := [not-or-elim #61]: #69
#139 := (= 1::int ?x2!0)
#81 := [and-elim #62]: #50
#140 := [symm #81]: #139
#142 := [trans #140 #83]: #141
#144 := [trans #142 #82]: #143
[mp #144 #146]: false
unsat
470993954e986ab72716000fd7da9fa600b05225 82 0
#2 := false
#5 := (:var 0 int)
#7 := 0::int
#9 := (<= 0::int #5)
#8 := (< #5 0::int)
#10 := (or #8 #9)
#4 := (:var 1 int)
#6 := (< #4 #5)
#11 := (implies #6 #10)
#12 := (forall (vars (?x2 int)) #11)
#13 := (exists (vars (?x1 int)) #12)
#14 := (not #13)
#95 := (iff #14 false)
#31 := (not #6)
#32 := (or #31 #10)
#35 := (forall (vars (?x2 int)) #32)
#38 := (exists (vars (?x1 int)) #35)
#41 := (not #38)
#93 := (iff #41 false)
#1 := true
#88 := (not true)
#91 := (iff #88 false)
#92 := [rewrite]: #91
#89 := (iff #41 #88)
#86 := (iff #38 true)
#81 := (exists (vars (?x1 int)) true)
#84 := (iff #81 true)
#85 := [elim-unused]: #84
#82 := (iff #38 #81)
#79 := (iff #35 true)
#74 := (forall (vars (?x2 int)) true)
#77 := (iff #74 true)
#78 := [elim-unused]: #77
#75 := (iff #35 #74)
#72 := (iff #32 true)
#46 := (>= #5 0::int)
#44 := (not #46)
#64 := (or #44 #46)
#50 := -1::int
#53 := (* -1::int #5)
#54 := (+ #4 #53)
#52 := (>= #54 0::int)
#67 := (or #52 #64)
#70 := (iff #67 true)
#71 := [rewrite]: #70
#68 := (iff #32 #67)
#65 := (iff #10 #64)
#48 := (iff #9 #46)
#49 := [rewrite]: #48
#45 := (iff #8 #44)
#47 := [rewrite]: #45
#66 := [monotonicity #47 #49]: #65
#62 := (iff #31 #52)
#51 := (not #52)
#57 := (not #51)
#60 := (iff #57 #52)
#61 := [rewrite]: #60
#58 := (iff #31 #57)
#55 := (iff #6 #51)
#56 := [rewrite]: #55
#59 := [monotonicity #56]: #58
#63 := [trans #59 #61]: #62
#69 := [monotonicity #63 #66]: #68
#73 := [trans #69 #71]: #72
#76 := [quant-intro #73]: #75
#80 := [trans #76 #78]: #79
#83 := [quant-intro #80]: #82
#87 := [trans #83 #85]: #86
#90 := [monotonicity #87]: #89
#94 := [trans #90 #92]: #93
#42 := (iff #14 #41)
#39 := (iff #13 #38)
#36 := (iff #12 #35)
#33 := (iff #11 #32)
#34 := [rewrite]: #33
#37 := [quant-intro #34]: #36
#40 := [quant-intro #37]: #39
#43 := [monotonicity #40]: #42
#96 := [trans #43 #94]: #95
#30 := [asserted]: #14
[mp #30 #96]: false
unsat
40c93af1a084932780f95bda03b3df7712e01201 78 0
#2 := false
#5 := (:var 0 int)
#7 := 2::int
#11 := (* 2::int #5)
#9 := 1::int
#4 := (:var 1 int)
#8 := (* 2::int #4)
#10 := (+ #8 1::int)
#12 := (< #10 #11)
#6 := (< #4 #5)
#13 := (implies #6 #12)
#14 := (forall (vars (?x1 int) (?x2 int)) #13)
#15 := (not #14)
#91 := (iff #15 false)
#32 := (+ 1::int #8)
#35 := (< #32 #11)
#41 := (not #6)
#42 := (or #41 #35)
#47 := (forall (vars (?x1 int) (?x2 int)) #42)
#50 := (not #47)
#89 := (iff #50 false)
#1 := true
#84 := (not true)
#87 := (iff #84 false)
#88 := [rewrite]: #87
#85 := (iff #50 #84)
#82 := (iff #47 true)
#77 := (forall (vars (?x1 int) (?x2 int)) true)
#80 := (iff #77 true)
#81 := [elim-unused]: #80
#78 := (iff #47 #77)
#75 := (iff #42 true)
#55 := 0::int
#53 := -1::int
#57 := (* -1::int #5)
#58 := (+ #4 #57)
#56 := (>= #58 0::int)
#54 := (not #56)
#69 := (or #56 #54)
#73 := (iff #69 true)
#74 := [rewrite]: #73
#71 := (iff #42 #69)
#70 := (iff #35 #54)
#68 := [rewrite]: #70
#66 := (iff #41 #56)
#61 := (not #54)
#64 := (iff #61 #56)
#65 := [rewrite]: #64
#62 := (iff #41 #61)
#59 := (iff #6 #54)
#60 := [rewrite]: #59
#63 := [monotonicity #60]: #62
#67 := [trans #63 #65]: #66
#72 := [monotonicity #67 #68]: #71
#76 := [trans #72 #74]: #75
#79 := [quant-intro #76]: #78
#83 := [trans #79 #81]: #82
#86 := [monotonicity #83]: #85
#90 := [trans #86 #88]: #89
#51 := (iff #15 #50)
#48 := (iff #14 #47)
#45 := (iff #13 #42)
#38 := (implies #6 #35)
#43 := (iff #38 #42)
#44 := [rewrite]: #43
#39 := (iff #13 #38)
#36 := (iff #12 #35)
#33 := (= #10 #32)
#34 := [rewrite]: #33
#37 := [monotonicity #34]: #36
#40 := [monotonicity #37]: #39
#46 := [trans #40 #44]: #45
#49 := [quant-intro #46]: #48
#52 := [monotonicity #49]: #51
#92 := [trans #52 #90]: #91
#31 := [asserted]: #15
[mp #31 #92]: false
unsat
26b175ea54cef59293a917c6fb083751b00d312a 61 0
#2 := false
#9 := (:var 0 int)
#4 := 2::int
#10 := (* 2::int #9)
#7 := 1::int
#5 := (:var 1 int)
#6 := (* 2::int #5)
#8 := (+ #6 1::int)
#11 := (= #8 #10)
#12 := (not #11)
#13 := (forall (vars (?x1 int) (?x2 int)) #12)
#14 := (not #13)
#74 := (iff #14 false)
#31 := (+ 1::int #6)
#37 := (= #10 #31)
#42 := (not #37)
#45 := (forall (vars (?x1 int) (?x2 int)) #42)
#48 := (not #45)
#72 := (iff #48 false)
#1 := true
#67 := (not true)
#70 := (iff #67 false)
#71 := [rewrite]: #70
#68 := (iff #48 #67)
#65 := (iff #45 true)
#60 := (forall (vars (?x1 int) (?x2 int)) true)
#63 := (iff #60 true)
#64 := [elim-unused]: #63
#61 := (iff #45 #60)
#58 := (iff #42 true)
#51 := (not false)
#56 := (iff #51 true)
#57 := [rewrite]: #56
#52 := (iff #42 #51)
#53 := (iff #37 false)
#54 := [rewrite]: #53
#55 := [monotonicity #54]: #52
#59 := [trans #55 #57]: #58
#62 := [quant-intro #59]: #61
#66 := [trans #62 #64]: #65
#69 := [monotonicity #66]: #68
#73 := [trans #69 #71]: #72
#49 := (iff #14 #48)
#46 := (iff #13 #45)
#43 := (iff #12 #42)
#40 := (iff #11 #37)
#34 := (= #31 #10)
#38 := (iff #34 #37)
#39 := [rewrite]: #38
#35 := (iff #11 #34)
#32 := (= #8 #31)
#33 := [rewrite]: #32
#36 := [monotonicity #33]: #35
#41 := [trans #36 #39]: #40
#44 := [monotonicity #41]: #43
#47 := [quant-intro #44]: #46
#50 := [monotonicity #47]: #49
#75 := [trans #50 #73]: #74
#30 := [asserted]: #14
[mp #30 #75]: false
unsat
74037c10b4f126275ba21e7140b7f1e159b39ed9 111 0
#2 := false
#4 := 2::int
decl ?x1!1 :: int
#85 := ?x1!1
decl ?x2!0 :: int
#84 := ?x2!0
#101 := (+ ?x2!0 ?x1!1)
#107 := (>= #101 2::int)
#113 := (<= #101 2::int)
#116 := (not #113)
#110 := (not #107)
#104 := (= #101 2::int)
#119 := (or #104 #110 #116)
#122 := (not #119)
#86 := (+ ?x1!1 ?x2!0)
#87 := (<= #86 2::int)
#88 := (not #87)
#89 := (>= #86 2::int)
#90 := (not #89)
#91 := (= #86 2::int)
#92 := (or #91 #90 #88)
#93 := (not #92)
#123 := (iff #93 #122)
#120 := (iff #92 #119)
#117 := (iff #88 #116)
#114 := (iff #87 #113)
#102 := (= #86 #101)
#103 := [rewrite]: #102
#115 := [monotonicity #103]: #114
#118 := [monotonicity #115]: #117
#111 := (iff #90 #110)
#108 := (iff #89 #107)
#109 := [monotonicity #103]: #108
#112 := [monotonicity #109]: #111
#105 := (iff #91 #104)
#106 := [monotonicity #103]: #105
#121 := [monotonicity #106 #112 #118]: #120
#124 := [monotonicity #121]: #123
#6 := (:var 0 int)
#5 := (:var 1 int)
#7 := (+ #5 #6)
#56 := (<= #7 2::int)
#58 := (not #56)
#54 := (>= #7 2::int)
#51 := (not #54)
#9 := (= #7 2::int)
#67 := (or #9 #51 #58)
#72 := (forall (vars (?x1 int) (?x2 int)) #67)
#75 := (not #72)
#94 := (~ #75 #93)
#95 := [sk]: #94
#10 := (< #7 2::int)
#11 := (or #9 #10)
#8 := (< 2::int #7)
#12 := (or #8 #11)
#13 := (forall (vars (?x1 int) (?x2 int)) #12)
#14 := (not #13)
#78 := (iff #14 #75)
#31 := (= 2::int #7)
#37 := (or #10 #31)
#42 := (or #8 #37)
#45 := (forall (vars (?x1 int) (?x2 int)) #42)
#48 := (not #45)
#76 := (iff #48 #75)
#73 := (iff #45 #72)
#70 := (iff #42 #67)
#61 := (or #51 #9)
#64 := (or #58 #61)
#68 := (iff #64 #67)
#69 := [rewrite]: #68
#65 := (iff #42 #64)
#62 := (iff #37 #61)
#55 := (iff #31 #9)
#57 := [rewrite]: #55
#53 := (iff #10 #51)
#52 := [rewrite]: #53
#63 := [monotonicity #52 #57]: #62
#59 := (iff #8 #58)
#60 := [rewrite]: #59
#66 := [monotonicity #60 #63]: #65
#71 := [trans #66 #69]: #70
#74 := [quant-intro #71]: #73
#77 := [monotonicity #74]: #76
#49 := (iff #14 #48)
#46 := (iff #13 #45)
#43 := (iff #12 #42)
#40 := (iff #11 #37)
#34 := (or #31 #10)
#38 := (iff #34 #37)
#39 := [rewrite]: #38
#35 := (iff #11 #34)
#32 := (iff #9 #31)
#33 := [rewrite]: #32
#36 := [monotonicity #33]: #35
#41 := [trans #36 #39]: #40
#44 := [monotonicity #41]: #43
#47 := [quant-intro #44]: #46
#50 := [monotonicity #47]: #49
#79 := [trans #50 #77]: #78
#30 := [asserted]: #14
#80 := [mp #30 #79]: #75
#98 := [mp~ #80 #95]: #93
#99 := [mp #98 #124]: #122
#126 := [not-or-elim #99]: #107
#100 := (not #104)
#125 := [not-or-elim #99]: #100
#127 := [not-or-elim #99]: #113
#183 := (or #104 #116 #110)
#184 := [th-lemma]: #183
[unit-resolution #184 #127 #125 #126]: false
unsat
628c1b88ca8fb09c896ae05059a52dc2f8e25db2 89 0
#2 := false
#4 := 0::int
decl ?x1!0 :: int
#78 := ?x1!0
#83 := (<= ?x1!0 0::int)
#146 := (not #83)
#155 := [hypothesis]: #83
#7 := 1::int
#81 := (>= ?x1!0 1::int)
#82 := (not #81)
#156 := (or #82 #146)
#157 := [th-lemma]: #156
#158 := [unit-resolution #157 #155]: #82
#159 := (or #146 #81)
#49 := -1::int
#79 := (<= ?x1!0 -1::int)
#80 := (not #79)
#84 := (ite #83 #82 #80)
#85 := (not #84)
#5 := (:var 0 int)
#50 := (<= #5 -1::int)
#51 := (not #50)
#55 := (>= #5 1::int)
#54 := (not #55)
#45 := (<= #5 0::int)
#61 := (ite #45 #54 #51)
#66 := (forall (vars (?x1 int)) #61)
#69 := (not #66)
#86 := (~ #69 #85)
#87 := [sk]: #86
#10 := (< #5 1::int)
#8 := (+ #5 1::int)
#9 := (< 0::int #8)
#6 := (< 0::int #5)
#11 := (ite #6 #9 #10)
#12 := (forall (vars (?x1 int)) #11)
#13 := (not #12)
#72 := (iff #13 #69)
#30 := (+ 1::int #5)
#33 := (< 0::int #30)
#36 := (ite #6 #33 #10)
#39 := (forall (vars (?x1 int)) #36)
#42 := (not #39)
#70 := (iff #42 #69)
#67 := (iff #39 #66)
#64 := (iff #36 #61)
#46 := (not #45)
#58 := (ite #46 #51 #54)
#62 := (iff #58 #61)
#63 := [rewrite]: #62
#59 := (iff #36 #58)
#56 := (iff #10 #54)
#57 := [rewrite]: #56
#52 := (iff #33 #51)
#53 := [rewrite]: #52
#47 := (iff #6 #46)
#48 := [rewrite]: #47
#60 := [monotonicity #48 #53 #57]: #59
#65 := [trans #60 #63]: #64
#68 := [quant-intro #65]: #67
#71 := [monotonicity #68]: #70
#43 := (iff #13 #42)
#40 := (iff #12 #39)
#37 := (iff #11 #36)
#34 := (iff #9 #33)
#31 := (= #8 #30)
#32 := [rewrite]: #31
#35 := [monotonicity #32]: #34
#38 := [monotonicity #35]: #37
#41 := [quant-intro #38]: #40
#44 := [monotonicity #41]: #43
#73 := [trans #44 #71]: #72
#29 := [asserted]: #13
#74 := [mp #29 #73]: #69
#90 := [mp~ #74 #87]: #85
#151 := (or #84 #146 #81)
#152 := [def-axiom]: #151
#160 := [unit-resolution #152 #90]: #159
#161 := [unit-resolution #160 #158 #155]: false
#162 := [lemma #161]: #146
#163 := (or #80 #83)
#164 := [th-lemma]: #163
#165 := [unit-resolution #164 #162]: #80
#166 := (or #83 #79)
#153 := (or #84 #83 #79)
#154 := [def-axiom]: #153
#167 := [unit-resolution #154 #90]: #166
[unit-resolution #167 #165 #162]: false
unsat
b7c4f9440c4594c46eee14ce57f17610bb7e2536 83 2
#2 := false
#5 := 0::int
#4 := (:var 0 int)
#42 := (<= #4 0::int)
#43 := (not #42)
#40 := (>= #4 0::int)
#38 := (not #40)
#46 := (or #38 #43)
#49 := (forall (vars (?x1 int)) #46)
#182 := (not #49)
#118 := (<= 0::int 0::int)
#204 := (not #118)
#119 := (>= 0::int 0::int)
#205 := (not #119)
#206 := (or #205 #204)
#187 := (or #182 #206)
#172 := (iff #187 #182)
#183 := (or #182 false)
#509 := (iff #183 #182)
#171 := [rewrite]: #509
#525 := (iff #187 #183)
#533 := (iff #206 false)
#529 := (or false false)
#532 := (iff #529 false)
#527 := [rewrite]: #532
#530 := (iff #206 #529)
#195 := (iff #204 false)
#1 := true
#209 := (not true)
#207 := (iff #209 false)
#211 := [rewrite]: #207
#315 := (iff #204 #209)
#528 := (iff #118 true)
#184 := [rewrite]: #528
#522 := [monotonicity #184]: #315
#196 := [trans #522 #211]: #195
#190 := (iff #205 false)
#137 := (iff #205 #209)
#197 := (iff #119 true)
#208 := [rewrite]: #197
#210 := [monotonicity #208]: #137
#526 := [trans #210 #211]: #190
#531 := [monotonicity #526 #196]: #530
#523 := [trans #531 #527]: #533
#167 := [monotonicity #523]: #525
#173 := [trans #167 #171]: #172
#524 := [quant-inst]: #187
#174 := [mp #524 #173]: #182
#60 := (~ #49 #49)
#58 := (~ #46 #46)
#59 := [refl]: #58
#61 := [nnf-pos #59]: #60
#7 := (< 0::int #4)
#6 := (< #4 0::int)
#8 := (or #6 #7)
#9 := (forall (vars (?x1 int)) #8)
#10 := (ite #9 false true)
#11 := (not #10)
#52 := (iff #11 #49)
#50 := (iff #9 #49)
#47 := (iff #8 #46)
#44 := (iff #7 #43)
#45 := [rewrite]: #44
#39 := (iff #6 #38)
#41 := [rewrite]: #39
#48 := [monotonicity #41 #45]: #47
#51 := [quant-intro #48]: #50
#36 := (iff #11 #9)
#28 := (not #9)
#31 := (not #28)
#34 := (iff #31 #9)
#35 := [rewrite]: #34
#32 := (iff #11 #31)
#29 := (iff #10 #28)
#30 := [rewrite]: #29
#33 := [monotonicity #30]: #32
#37 := [trans #33 #35]: #36
#53 := [trans #37 #51]: #52
#27 := [asserted]: #11
#54 := [mp #27 #53]: #49
#62 := [mp~ #54 #61]: #49
[unit-resolution #62 #174]: false
unsat
WARNING: failed to find a pattern for quantifier (quantifier id: k!2)

7a9cc3ee85422788d981af84d181bd61d65f774c 180 2
#2 := false
#4 := 0::int
#5 := (:var 0 int)
#48 := (<= #5 0::int)
#49 := (not #48)
#45 := (>= #5 0::int)
#44 := (not #45)
#52 := (or #44 #49)
#55 := (forall (vars (?x1 int)) #52)
#86 := (not #55)
#263 := (<= 0::int 0::int)
#268 := (not #263)
#604 := (>= 0::int 0::int)
#264 := (not #604)
#605 := (or #264 #268)
#588 := (or #86 #605)
#584 := (iff #588 #86)
#311 := (or #86 false)
#207 := (iff #311 #86)
#583 := [rewrite]: #207
#312 := (iff #588 #311)
#601 := (iff #605 false)
#599 := (or false false)
#600 := (iff #599 false)
#598 := [rewrite]: #600
#239 := (iff #605 #599)
#234 := (iff #268 false)
#1 := true
#252 := (not true)
#255 := (iff #252 false)
#591 := [rewrite]: #255
#590 := (iff #268 #252)
#594 := (iff #263 true)
#595 := [rewrite]: #594
#596 := [monotonicity #595]: #590
#597 := [trans #596 #591]: #234
#592 := (iff #264 false)
#253 := (iff #264 #252)
#248 := (iff #604 true)
#589 := [rewrite]: #248
#254 := [monotonicity #589]: #253
#593 := [trans #254 #591]: #592
#240 := [monotonicity #593 #597]: #239
#587 := [trans #240 #598]: #601
#313 := [monotonicity #587]: #312
#306 := [trans #313 #583]: #584
#310 := [quant-inst]: #588
#307 := [mp #310 #306]: #86
decl z3name!0 :: bool
#83 := z3name!0
#12 := 3::int
#32 := -1::int
#92 := (ite z3name!0 -1::int 3::int)
#290 := (= #92 3::int)
#610 := (not #290)
#608 := (>= #92 3::int)
#265 := (not #608)
#95 := (<= #92 0::int)
#58 := (ite #55 -1::int 3::int)
#64 := (<= #58 0::int)
#96 := (~ #64 #95)
#93 := (= #58 #92)
#90 := (~ #55 z3name!0)
#87 := (or z3name!0 #86)
#84 := (not z3name!0)
#85 := (or #84 #55)
#88 := (and #85 #87)
#89 := [intro-def]: #88
#91 := [apply-def #89]: #90
#94 := [monotonicity #91]: #93
#97 := [monotonicity #94]: #96
#10 := 1::int
#11 := (- 1::int)
#7 := (< 0::int #5)
#6 := (< #5 0::int)
#8 := (or #6 #7)
#9 := (forall (vars (?x1 int)) #8)
#13 := (ite #9 #11 3::int)
#14 := (< 0::int #13)
#15 := (not #14)
#77 := (iff #15 #64)
#35 := (ite #9 -1::int 3::int)
#38 := (< 0::int #35)
#41 := (not #38)
#75 := (iff #41 #64)
#65 := (not #64)
#70 := (not #65)
#73 := (iff #70 #64)
#74 := [rewrite]: #73
#71 := (iff #41 #70)
#68 := (iff #38 #65)
#61 := (< 0::int #58)
#66 := (iff #61 #65)
#67 := [rewrite]: #66
#62 := (iff #38 #61)
#59 := (= #35 #58)
#56 := (iff #9 #55)
#53 := (iff #8 #52)
#50 := (iff #7 #49)
#51 := [rewrite]: #50
#46 := (iff #6 #44)
#47 := [rewrite]: #46
#54 := [monotonicity #47 #51]: #53
#57 := [quant-intro #54]: #56
#60 := [monotonicity #57]: #59
#63 := [monotonicity #60]: #62
#69 := [trans #63 #67]: #68
#72 := [monotonicity #69]: #71
#76 := [trans #72 #74]: #75
#42 := (iff #15 #41)
#39 := (iff #14 #38)
#36 := (= #13 #35)
#33 := (= #11 -1::int)
#34 := [rewrite]: #33
#37 := [monotonicity #34]: #36
#40 := [monotonicity #37]: #39
#43 := [monotonicity #40]: #42
#78 := [trans #43 #76]: #77
#31 := [asserted]: #15
#79 := [mp #31 #78]: #64
#126 := [mp~ #79 #97]: #95
#395 := (not #95)
#602 := (or #265 #395)
#276 := [th-lemma]: #602
#277 := [unit-resolution #276 #126]: #265
#609 := [hypothesis]: #290
#611 := (or #610 #608)
#612 := [th-lemma]: #611
#607 := [unit-resolution #612 #609 #277]: false
#613 := [lemma #607]: #610
#292 := (or z3name!0 #290)
#271 := [def-axiom]: #292
#581 := [unit-resolution #271 #613]: z3name!0
#129 := (or #55 #84)
decl ?x1!1 :: int
#108 := ?x1!1
#111 := (>= ?x1!1 0::int)
#112 := (not #111)
#109 := (<= ?x1!1 0::int)
#110 := (not #109)
#132 := (or #110 #112)
#135 := (not #132)
#138 := (or z3name!0 #135)
#141 := (and #129 #138)
#113 := (or #112 #110)
#114 := (not #113)
#119 := (or z3name!0 #114)
#122 := (and #85 #119)
#142 := (iff #122 #141)
#139 := (iff #119 #138)
#136 := (iff #114 #135)
#133 := (iff #113 #132)
#134 := [rewrite]: #133
#137 := [monotonicity #134]: #136
#140 := [monotonicity #137]: #139
#130 := (iff #85 #129)
#131 := [rewrite]: #130
#143 := [monotonicity #131 #140]: #142
#123 := (~ #88 #122)
#120 := (~ #87 #119)
#115 := (~ #86 #114)
#116 := [sk]: #115
#106 := (~ z3name!0 z3name!0)
#107 := [refl]: #106
#121 := [monotonicity #107 #116]: #120
#104 := (~ #85 #85)
#102 := (~ #55 #55)
#100 := (~ #52 #52)
#101 := [refl]: #100
#103 := [nnf-pos #101]: #102
#98 := (~ #84 #84)
#99 := [refl]: #98
#105 := [monotonicity #99 #103]: #104
#124 := [monotonicity #105 #121]: #123
#125 := [mp~ #89 #124]: #122
#127 := [mp #125 #143]: #141
#128 := [and-elim #127]: #129
#585 := [unit-resolution #128 #581]: #55
[unit-resolution #585 #307]: false
unsat
WARNING: failed to find a pattern for quantifier (quantifier id: k!2)

5201b12abd6b3d0f247a34c1fd9f443fc951c55f 68 0
#2 := false
#12 := 1::int
#9 := (:var 1 int)
#7 := 6::int
#8 := (- 6::int)
#10 := (* #8 #9)
#5 := (:var 2 int)
#4 := 4::int
#6 := (* 4::int #5)
#11 := (+ #6 #10)
#13 := (= #11 1::int)
#14 := (exists (vars (?x1 int) (?x2 int) (?x3 int)) #13)
#15 := (not #14)
#16 := (not #15)
#82 := (iff #16 false)
#53 := (:var 0 int)
#33 := -6::int
#54 := (* -6::int #53)
#55 := (* 4::int #9)
#56 := (+ #55 #54)
#57 := (= 1::int #56)
#58 := (exists (vars (?x1 int) (?x2 int)) #57)
#80 := (iff #58 false)
#76 := (exists (vars (?x1 int) (?x2 int)) false)
#78 := (iff #76 false)
#79 := [elim-unused]: #78
#77 := (iff #58 #76)
#73 := (iff #57 false)
#74 := [rewrite]: #73
#75 := [quant-intro #74]: #77
#81 := [trans #75 #79]: #80
#71 := (iff #16 #58)
#63 := (not #58)
#66 := (not #63)
#69 := (iff #66 #58)
#70 := [rewrite]: #69
#67 := (iff #16 #66)
#64 := (iff #15 #63)
#61 := (iff #14 #58)
#36 := (* -6::int #9)
#39 := (+ #6 #36)
#45 := (= 1::int #39)
#50 := (exists (vars (?x1 int) (?x2 int) (?x3 int)) #45)
#59 := (iff #50 #58)
#60 := [elim-unused]: #59
#51 := (iff #14 #50)
#48 := (iff #13 #45)
#42 := (= #39 1::int)
#46 := (iff #42 #45)
#47 := [rewrite]: #46
#43 := (iff #13 #42)
#40 := (= #11 #39)
#37 := (= #10 #36)
#34 := (= #8 -6::int)
#35 := [rewrite]: #34
#38 := [monotonicity #35]: #37
#41 := [monotonicity #38]: #40
#44 := [monotonicity #41]: #43
#49 := [trans #44 #47]: #48
#52 := [quant-intro #49]: #51
#62 := [trans #52 #60]: #61
#65 := [monotonicity #62]: #64
#68 := [monotonicity #65]: #67
#72 := [trans #68 #70]: #71
#83 := [trans #72 #81]: #82
#32 := [asserted]: #16
[mp #32 #83]: false
unsat
0f9091dc6853772b5280c29fc11ae1382022f24d 107 0
#2 := false
#4 := 0::int
decl ?x2!1 :: int
#83 := ?x2!1
decl ?x3!0 :: int
#82 := ?x3!0
#108 := (+ ?x3!0 ?x2!1)
#111 := (<= #108 0::int)
#114 := (not #111)
#89 := (<= ?x2!1 0::int)
#90 := (not #89)
#87 := (<= ?x3!0 0::int)
#88 := (not #87)
#102 := (and #88 #90)
#105 := (not #102)
#117 := (or #105 #114)
#120 := (not #117)
#84 := (+ ?x2!1 ?x3!0)
#85 := (<= #84 0::int)
#86 := (not #85)
#91 := (and #90 #88)
#92 := (not #91)
#93 := (or #92 #86)
#94 := (not #93)
#121 := (iff #94 #120)
#118 := (iff #93 #117)
#115 := (iff #86 #114)
#112 := (iff #85 #111)
#109 := (= #84 #108)
#110 := [rewrite]: #109
#113 := [monotonicity #110]: #112
#116 := [monotonicity #113]: #115
#106 := (iff #92 #105)
#103 := (iff #91 #102)
#104 := [rewrite]: #103
#107 := [monotonicity #104]: #106
#119 := [monotonicity #107 #116]: #118
#122 := [monotonicity #119]: #121
#7 := (:var 0 int)
#5 := (:var 1 int)
#10 := (+ #5 #7)
#63 := (<= #10 0::int)
#64 := (not #63)
#53 := (<= #7 0::int)
#54 := (not #53)
#49 := (<= #5 0::int)
#50 := (not #49)
#57 := (and #50 #54)
#60 := (not #57)
#67 := (or #60 #64)
#70 := (forall (vars (?x2 int) (?x3 int)) #67)
#73 := (not #70)
#95 := (~ #73 #94)
#96 := [sk]: #95
#11 := (< 0::int #10)
#8 := (< 0::int #7)
#6 := (< 0::int #5)
#9 := (and #6 #8)
#12 := (implies #9 #11)
#13 := (forall (vars (?x2 int) (?x3 int)) #12)
#14 := (exists (vars (?x1 int)) #13)
#15 := (not #14)
#76 := (iff #15 #73)
#32 := (not #9)
#33 := (or #32 #11)
#36 := (forall (vars (?x2 int) (?x3 int)) #33)
#46 := (not #36)
#74 := (iff #46 #73)
#71 := (iff #36 #70)
#68 := (iff #33 #67)
#65 := (iff #11 #64)
#66 := [rewrite]: #65
#61 := (iff #32 #60)
#58 := (iff #9 #57)
#55 := (iff #8 #54)
#56 := [rewrite]: #55
#51 := (iff #6 #50)
#52 := [rewrite]: #51
#59 := [monotonicity #52 #56]: #58
#62 := [monotonicity #59]: #61
#69 := [monotonicity #62 #66]: #68
#72 := [quant-intro #69]: #71
#75 := [monotonicity #72]: #74
#47 := (iff #15 #46)
#44 := (iff #14 #36)
#39 := (exists (vars (?x1 int)) #36)
#42 := (iff #39 #36)
#43 := [elim-unused]: #42
#40 := (iff #14 #39)
#37 := (iff #13 #36)
#34 := (iff #12 #33)
#35 := [rewrite]: #34
#38 := [quant-intro #35]: #37
#41 := [quant-intro #38]: #40
#45 := [trans #41 #43]: #44
#48 := [monotonicity #45]: #47
#77 := [trans #48 #75]: #76
#31 := [asserted]: #15
#78 := [mp #31 #77]: #73
#99 := [mp~ #78 #96]: #94
#100 := [mp #99 #122]: #120
#125 := [not-or-elim #100]: #111
#101 := [not-or-elim #100]: #102
#124 := [and-elim #101]: #90
#123 := [and-elim #101]: #88
[th-lemma #123 #124 #125]: false
unsat
a19e2cec45cb985989328595a0e06836a1e0fbc3 117 0
#2 := false
#4 := 0::int
decl ?x2!1 :: int
#91 := ?x2!1
#98 := (<= ?x2!1 0::int)
#99 := (not #98)
#7 := 0::real
decl ?x3!0 :: real
#93 := ?x3!0
#96 := (<= ?x3!0 0::real)
#97 := (not #96)
#111 := (and #97 #99)
#114 := (not #111)
#33 := -1::int
#94 := (<= ?x2!1 -1::int)
#95 := (not #94)
#120 := (or #95 #114)
#125 := (not #120)
#100 := (and #99 #97)
#101 := (not #100)
#102 := (or #101 #95)
#103 := (not #102)
#126 := (iff #103 #125)
#123 := (iff #102 #120)
#117 := (or #114 #95)
#121 := (iff #117 #120)
#122 := [rewrite]: #121
#118 := (iff #102 #117)
#115 := (iff #101 #114)
#112 := (iff #100 #111)
#113 := [rewrite]: #112
#116 := [monotonicity #113]: #115
#119 := [monotonicity #116]: #118
#124 := [trans #119 #122]: #123
#127 := [monotonicity #124]: #126
#5 := (:var 1 int)
#75 := (<= #5 -1::int)
#76 := (not #75)
#8 := (:var 0 real)
#65 := (<= #8 0::real)
#66 := (not #65)
#61 := (<= #5 0::int)
#62 := (not #61)
#69 := (and #62 #66)
#72 := (not #69)
#79 := (or #72 #76)
#82 := (forall (vars (?x2 int) (?x3 real)) #79)
#85 := (not #82)
#104 := (~ #85 #103)
#105 := [sk]: #104
#11 := 1::int
#12 := (- 1::int)
#13 := (< #12 #5)
#9 := (< 0::real #8)
#6 := (< 0::int #5)
#10 := (and #6 #9)
#14 := (implies #10 #13)
#15 := (forall (vars (?x2 int) (?x3 real)) #14)
#16 := (exists (vars (?x1 int)) #15)
#17 := (not #16)
#88 := (iff #17 #85)
#36 := (< -1::int #5)
#42 := (not #10)
#43 := (or #42 #36)
#48 := (forall (vars (?x2 int) (?x3 real)) #43)
#58 := (not #48)
#86 := (iff #58 #85)
#83 := (iff #48 #82)
#80 := (iff #43 #79)
#77 := (iff #36 #76)
#78 := [rewrite]: #77
#73 := (iff #42 #72)
#70 := (iff #10 #69)
#67 := (iff #9 #66)
#68 := [rewrite]: #67
#63 := (iff #6 #62)
#64 := [rewrite]: #63
#71 := [monotonicity #64 #68]: #70
#74 := [monotonicity #71]: #73
#81 := [monotonicity #74 #78]: #80
#84 := [quant-intro #81]: #83
#87 := [monotonicity #84]: #86
#59 := (iff #17 #58)
#56 := (iff #16 #48)
#51 := (exists (vars (?x1 int)) #48)
#54 := (iff #51 #48)
#55 := [elim-unused]: #54
#52 := (iff #16 #51)
#49 := (iff #15 #48)
#46 := (iff #14 #43)
#39 := (implies #10 #36)
#44 := (iff #39 #43)
#45 := [rewrite]: #44
#40 := (iff #14 #39)
#37 := (iff #13 #36)
#34 := (= #12 -1::int)
#35 := [rewrite]: #34
#38 := [monotonicity #35]: #37
#41 := [monotonicity #38]: #40
#47 := [trans #41 #45]: #46
#50 := [quant-intro #47]: #49
#53 := [quant-intro #50]: #52
#57 := [trans #53 #55]: #56
#60 := [monotonicity #57]: #59
#89 := [trans #60 #87]: #88
#32 := [asserted]: #17
#90 := [mp #32 #89]: #85
#108 := [mp~ #90 #105]: #103
#109 := [mp #108 #127]: #125
#128 := [not-or-elim #109]: #111
#130 := [and-elim #128]: #99
#110 := [not-or-elim #109]: #94
#186 := (or #95 #98)
#187 := [th-lemma]: #186
#188 := [unit-resolution #187 #110]: #98
[unit-resolution #188 #130]: false
unsat
34bf666106f50c4ee2e8834de4912d59c6e7d9d9 148 0
#2 := false
#144 := (not false)
#7 := 0::int
#5 := (:var 0 int)
#52 := (<= #5 0::int)
#53 := (not #52)
#147 := (or #53 #144)
#150 := (not #147)
#153 := (forall (vars (?x1 int)) #150)
#180 := (iff #153 false)
#175 := (forall (vars (?x1 int)) false)
#178 := (iff #175 false)
#179 := [elim-unused]: #178
#176 := (iff #153 #175)
#173 := (iff #150 false)
#1 := true
#168 := (not true)
#171 := (iff #168 false)
#172 := [rewrite]: #171
#169 := (iff #150 #168)
#166 := (iff #147 true)
#161 := (or #53 true)
#164 := (iff #161 true)
#165 := [rewrite]: #164
#162 := (iff #147 #161)
#159 := (iff #144 true)
#160 := [rewrite]: #159
#163 := [monotonicity #160]: #162
#167 := [trans #163 #165]: #166
#170 := [monotonicity #167]: #169
#174 := [trans #170 #172]: #173
#177 := [quant-intro #174]: #176
#181 := [trans #177 #179]: #180
#56 := -1::int
#57 := (* -1::int #5)
#4 := (:var 1 int)
#58 := (+ #4 #57)
#59 := (<= #58 0::int)
#62 := (not #59)
#68 := (or #53 #62)
#73 := (forall (vars (?x2 int)) #68)
#76 := (not #73)
#79 := (or #53 #76)
#105 := (not #79)
#123 := (forall (vars (?x1 int)) #105)
#156 := (iff #123 #153)
#127 := (forall (vars (?x2 int)) #53)
#130 := (not #127)
#133 := (or #53 #130)
#136 := (not #133)
#139 := (forall (vars (?x1 int)) #136)
#154 := (iff #139 #153)
#155 := [rewrite]: #154
#140 := (iff #123 #139)
#141 := [rewrite]: #140
#157 := [trans #141 #155]: #156
#116 := (and #52 #73)
#119 := (forall (vars (?x1 int)) #116)
#124 := (iff #119 #123)
#113 := (iff #116 #105)
#122 := [rewrite]: #113
#125 := [quant-intro #122]: #124
#94 := (not #53)
#104 := (and #94 #73)
#108 := (forall (vars (?x1 int)) #104)
#120 := (iff #108 #119)
#117 := (iff #104 #116)
#114 := (iff #94 #52)
#115 := [rewrite]: #114
#118 := [monotonicity #115]: #117
#121 := [quant-intro #118]: #120
#82 := (exists (vars (?x1 int)) #79)
#85 := (not #82)
#109 := (~ #85 #108)
#106 := (~ #105 #104)
#101 := (not #76)
#102 := (~ #101 #73)
#99 := (~ #73 #73)
#97 := (~ #68 #68)
#98 := [refl]: #97
#100 := [nnf-pos #98]: #99
#103 := [nnf-neg #100]: #102
#95 := (~ #94 #94)
#96 := [refl]: #95
#107 := [nnf-neg #96 #103]: #106
#110 := [nnf-neg #107]: #109
#8 := (< 0::int #5)
#6 := (<= #4 #5)
#9 := (implies #6 #8)
#10 := (forall (vars (?x2 int)) #9)
#11 := (implies #10 #8)
#12 := (exists (vars (?x1 int)) #11)
#13 := (not #12)
#88 := (iff #13 #85)
#30 := (not #6)
#31 := (or #30 #8)
#34 := (forall (vars (?x2 int)) #31)
#40 := (not #34)
#41 := (or #8 #40)
#46 := (exists (vars (?x1 int)) #41)
#49 := (not #46)
#86 := (iff #49 #85)
#83 := (iff #46 #82)
#80 := (iff #41 #79)
#77 := (iff #40 #76)
#74 := (iff #34 #73)
#71 := (iff #31 #68)
#65 := (or #62 #53)
#69 := (iff #65 #68)
#70 := [rewrite]: #69
#66 := (iff #31 #65)
#54 := (iff #8 #53)
#55 := [rewrite]: #54
#63 := (iff #30 #62)
#60 := (iff #6 #59)
#61 := [rewrite]: #60
#64 := [monotonicity #61]: #63
#67 := [monotonicity #64 #55]: #66
#72 := [trans #67 #70]: #71
#75 := [quant-intro #72]: #74
#78 := [monotonicity #75]: #77
#81 := [monotonicity #55 #78]: #80
#84 := [quant-intro #81]: #83
#87 := [monotonicity #84]: #86
#50 := (iff #13 #49)
#47 := (iff #12 #46)
#44 := (iff #11 #41)
#37 := (implies #34 #8)
#42 := (iff #37 #41)
#43 := [rewrite]: #42
#38 := (iff #11 #37)
#35 := (iff #10 #34)
#32 := (iff #9 #31)
#33 := [rewrite]: #32
#36 := [quant-intro #33]: #35
#39 := [monotonicity #36]: #38
#45 := [trans #39 #43]: #44
#48 := [quant-intro #45]: #47
#51 := [monotonicity #48]: #50
#89 := [trans #51 #87]: #88
#29 := [asserted]: #13
#90 := [mp #29 #89]: #85
#111 := [mp~ #90 #110]: #108
#112 := [mp #111 #121]: #119
#126 := [mp #112 #125]: #123
#158 := [mp #126 #157]: #153
[mp #158 #181]: false
unsat
1d6946d9384f22b76e98f04aff657c54e4fe51ad 67 0
#2 := false
#4 := (:var 0 int)
#5 := (pattern #4)
decl uf_1 :: int
#6 := uf_1
#8 := 2::int
#10 := (* 2::int uf_1)
#9 := (* 2::int #4)
#11 := (< #9 #10)
#7 := (< #4 uf_1)
#12 := (implies #7 #11)
#13 := (forall (vars (?x1 int)) (:pat #5) #12)
#14 := (not #13)
#79 := (iff #14 false)
#31 := (not #7)
#32 := (or #31 #11)
#35 := (forall (vars (?x1 int)) (:pat #5) #32)
#38 := (not #35)
#77 := (iff #38 false)
#1 := true
#72 := (not true)
#75 := (iff #72 false)
#76 := [rewrite]: #75
#73 := (iff #38 #72)
#70 := (iff #35 true)
#65 := (forall (vars (?x1 int)) (:pat #5) true)
#68 := (iff #65 true)
#69 := [elim-unused]: #68
#66 := (iff #35 #65)
#63 := (iff #32 true)
#43 := 0::int
#41 := -1::int
#45 := (* -1::int uf_1)
#46 := (+ #4 #45)
#44 := (>= #46 0::int)
#42 := (not #44)
#57 := (or #44 #42)
#61 := (iff #57 true)
#62 := [rewrite]: #61
#59 := (iff #32 #57)
#58 := (iff #11 #42)
#56 := [rewrite]: #58
#54 := (iff #31 #44)
#49 := (not #42)
#52 := (iff #49 #44)
#53 := [rewrite]: #52
#50 := (iff #31 #49)
#47 := (iff #7 #42)
#48 := [rewrite]: #47
#51 := [monotonicity #48]: #50
#55 := [trans #51 #53]: #54
#60 := [monotonicity #55 #56]: #59
#64 := [trans #60 #62]: #63
#67 := [quant-intro #64]: #66
#71 := [trans #67 #69]: #70
#74 := [monotonicity #71]: #73
#78 := [trans #74 #76]: #77
#39 := (iff #14 #38)
#36 := (iff #13 #35)
#33 := (iff #12 #32)
#34 := [rewrite]: #33
#37 := [quant-intro #34]: #36
#40 := [monotonicity #37]: #39
#80 := [trans #40 #78]: #79
#30 := [asserted]: #14
[mp #30 #80]: false
unsat
d938f8b556e86b20a82e4661e3a61bad7d95357d 1 0
unsat
dfca84a72c9a54145743ea34eaa7c75e8665fd45 75 0
#2 := false
#6 := 1::int
decl uf_3 :: int
#8 := uf_3
#12 := (+ uf_3 1::int)
decl uf_1 :: int
#4 := uf_1
#13 := (* uf_1 #12)
decl uf_2 :: int
#5 := uf_2
#11 := (* uf_1 uf_2)
#14 := (+ #11 #13)
#7 := (+ uf_2 1::int)
#9 := (+ #7 uf_3)
#10 := (* uf_1 #9)
#15 := (= #10 #14)
#16 := (not #15)
#85 := (iff #16 false)
#1 := true
#80 := (not true)
#83 := (iff #80 false)
#84 := [rewrite]: #83
#81 := (iff #16 #80)
#78 := (iff #15 true)
#48 := (* uf_1 uf_3)
#49 := (+ #11 #48)
#50 := (+ uf_1 #49)
#73 := (= #50 #50)
#76 := (iff #73 true)
#77 := [rewrite]: #76
#74 := (iff #15 #73)
#71 := (= #14 #50)
#61 := (+ uf_1 #48)
#66 := (+ #11 #61)
#69 := (= #66 #50)
#70 := [rewrite]: #69
#67 := (= #14 #66)
#64 := (= #13 #61)
#55 := (+ 1::int uf_3)
#58 := (* uf_1 #55)
#62 := (= #58 #61)
#63 := [rewrite]: #62
#59 := (= #13 #58)
#56 := (= #12 #55)
#57 := [rewrite]: #56
#60 := [monotonicity #57]: #59
#65 := [trans #60 #63]: #64
#68 := [monotonicity #65]: #67
#72 := [trans #68 #70]: #71
#53 := (= #10 #50)
#39 := (+ uf_2 uf_3)
#40 := (+ 1::int #39)
#45 := (* uf_1 #40)
#51 := (= #45 #50)
#52 := [rewrite]: #51
#46 := (= #10 #45)
#43 := (= #9 #40)
#33 := (+ 1::int uf_2)
#36 := (+ #33 uf_3)
#41 := (= #36 #40)
#42 := [rewrite]: #41
#37 := (= #9 #36)
#34 := (= #7 #33)
#35 := [rewrite]: #34
#38 := [monotonicity #35]: #37
#44 := [trans #38 #42]: #43
#47 := [monotonicity #44]: #46
#54 := [trans #47 #52]: #53
#75 := [monotonicity #54 #72]: #74
#79 := [trans #75 #77]: #78
#82 := [monotonicity #79]: #81
#86 := [trans #82 #84]: #85
#32 := [asserted]: #16
[mp #32 #86]: false
unsat
2662a556257bfe403cd3fda75e9fe55964bc9dcd 62 0
#2 := false
decl uf_2 :: real
#6 := uf_2
decl uf_1 :: real
#4 := uf_1
#12 := 2::real
#13 := (* 2::real uf_1)
#14 := (* #13 uf_2)
#5 := 1::real
#9 := (- 1::real uf_2)
#10 := (* uf_1 #9)
#7 := (+ 1::real uf_2)
#8 := (* uf_1 #7)
#11 := (- #8 #10)
#15 := (= #11 #14)
#16 := (not #15)
#73 := (iff #16 false)
#1 := true
#68 := (not true)
#71 := (iff #68 false)
#72 := [rewrite]: #71
#69 := (iff #16 #68)
#66 := (iff #15 true)
#33 := (* uf_1 uf_2)
#55 := (* 2::real #33)
#61 := (= #55 #55)
#64 := (iff #61 true)
#65 := [rewrite]: #64
#62 := (iff #15 #61)
#59 := (= #14 #55)
#60 := [rewrite]: #59
#57 := (= #11 #55)
#37 := -1::real
#45 := (* -1::real #33)
#46 := (+ uf_1 #45)
#34 := (+ uf_1 #33)
#51 := (- #34 #46)
#54 := (= #51 #55)
#56 := [rewrite]: #54
#52 := (= #11 #51)
#49 := (= #10 #46)
#38 := (* -1::real uf_2)
#39 := (+ 1::real #38)
#42 := (* uf_1 #39)
#47 := (= #42 #46)
#48 := [rewrite]: #47
#43 := (= #10 #42)
#40 := (= #9 #39)
#41 := [rewrite]: #40
#44 := [monotonicity #41]: #43
#50 := [trans #44 #48]: #49
#35 := (= #8 #34)
#36 := [rewrite]: #35
#53 := [monotonicity #36 #50]: #52
#58 := [trans #53 #56]: #57
#63 := [monotonicity #58 #60]: #62
#67 := [trans #63 #65]: #66
#70 := [monotonicity #67]: #69
#74 := [trans #70 #72]: #73
#32 := [asserted]: #16
[mp #32 #74]: false
unsat
99d65e323e3d85dbdc2d8c52c169db4d46ead198 141 0
#2 := false
decl uf_4 :: int
#9 := uf_4
decl uf_5 :: int
#13 := uf_5
decl uf_3 :: int
#8 := uf_3
#24 := (+ uf_3 uf_5)
#25 := (+ #24 uf_4)
decl uf_2 :: int
#6 := uf_2
#5 := 1::int
#7 := (+ 1::int uf_2)
#26 := (* #7 #25)
#21 := (* uf_5 uf_2)
#19 := (* #7 uf_5)
#10 := (+ uf_3 uf_4)
#16 := 2::int
#17 := (* 2::int #7)
#18 := (* #17 #10)
#20 := (+ #18 #19)
#22 := (+ #20 #21)
decl uf_1 :: int
#4 := uf_1
#23 := (+ uf_1 #22)
#27 := (- #23 #26)
#14 := (* uf_2 uf_5)
#11 := (* #7 #10)
#12 := (+ uf_1 #11)
#15 := (+ #12 #14)
#28 := (= #15 #27)
#29 := (not #28)
#149 := (iff #29 false)
#1 := true
#144 := (not true)
#147 := (iff #144 false)
#148 := [rewrite]: #147
#145 := (iff #29 #144)
#142 := (iff #28 true)
#47 := (* uf_2 uf_4)
#46 := (* uf_2 uf_3)
#48 := (+ #46 #47)
#59 := (+ #14 #48)
#60 := (+ uf_4 #59)
#61 := (+ uf_3 #60)
#62 := (+ uf_1 #61)
#136 := (= #62 #62)
#140 := (iff #136 true)
#141 := [rewrite]: #140
#135 := (iff #28 #136)
#138 := (= #27 #62)
#123 := (+ uf_5 #59)
#124 := (+ uf_4 #123)
#125 := (+ uf_3 #124)
#77 := (* 2::int #47)
#75 := (* 2::int #46)
#78 := (+ #75 #77)
#104 := (* 2::int #14)
#105 := (+ #104 #78)
#106 := (+ uf_5 #105)
#76 := (* 2::int uf_4)
#107 := (+ #76 #106)
#74 := (* 2::int uf_3)
#108 := (+ #74 #107)
#113 := (+ uf_1 #108)
#130 := (- #113 #125)
#133 := (= #130 #62)
#139 := [rewrite]: #133
#131 := (= #27 #130)
#128 := (= #26 #125)
#116 := (+ uf_4 uf_5)
#117 := (+ uf_3 #116)
#120 := (* #7 #117)
#126 := (= #120 #125)
#127 := [rewrite]: #126
#121 := (= #26 #120)
#118 := (= #25 #117)
#119 := [rewrite]: #118
#122 := [monotonicity #119]: #121
#129 := [trans #122 #127]: #128
#114 := (= #23 #113)
#111 := (= #22 #108)
#91 := (+ #14 #78)
#92 := (+ uf_5 #91)
#93 := (+ #76 #92)
#94 := (+ #74 #93)
#101 := (+ #94 #14)
#109 := (= #101 #108)
#110 := [rewrite]: #109
#102 := (= #22 #101)
#99 := (= #21 #14)
#100 := [rewrite]: #99
#97 := (= #20 #94)
#85 := (+ uf_5 #14)
#79 := (+ #76 #78)
#80 := (+ #74 #79)
#88 := (+ #80 #85)
#95 := (= #88 #94)
#96 := [rewrite]: #95
#89 := (= #20 #88)
#86 := (= #19 #85)
#87 := [rewrite]: #86
#83 := (= #18 #80)
#67 := (* 2::int uf_2)
#68 := (+ 2::int #67)
#71 := (* #68 #10)
#81 := (= #71 #80)
#82 := [rewrite]: #81
#72 := (= #18 #71)
#69 := (= #17 #68)
#70 := [rewrite]: #69
#73 := [monotonicity #70]: #72
#84 := [trans #73 #82]: #83
#90 := [monotonicity #84 #87]: #89
#98 := [trans #90 #96]: #97
#103 := [monotonicity #98 #100]: #102
#112 := [trans #103 #110]: #111
#115 := [monotonicity #112]: #114
#132 := [monotonicity #115 #129]: #131
#137 := [trans #132 #139]: #138
#65 := (= #15 #62)
#49 := (+ uf_4 #48)
#50 := (+ uf_3 #49)
#53 := (+ uf_1 #50)
#56 := (+ #53 #14)
#63 := (= #56 #62)
#64 := [rewrite]: #63
#57 := (= #15 #56)
#54 := (= #12 #53)
#51 := (= #11 #50)
#52 := [rewrite]: #51
#55 := [monotonicity #52]: #54
#58 := [monotonicity #55]: #57
#66 := [trans #58 #64]: #65
#134 := [monotonicity #66 #137]: #135
#143 := [trans #134 #141]: #142
#146 := [monotonicity #143]: #145
#150 := [trans #146 #148]: #149
#45 := [asserted]: #29
[mp #45 #150]: false
unsat
2e721ab2035f9845f1e87e78db6dfc67c28f6d40 252 0
#2 := false
#9 := 0::int
decl uf_2 :: (-> T1 int)
decl uf_1 :: (-> int T1)
decl uf_3 :: T1
#22 := uf_3
#23 := (uf_2 uf_3)
#21 := 2::int
#24 := (* 2::int #23)
#25 := (uf_1 #24)
#293 := (uf_2 #25)
#295 := -1::int
#274 := (* -1::int #293)
#610 := (+ #24 #274)
#594 := (<= #610 0::int)
#612 := (= #610 0::int)
#606 := (>= #23 0::int)
#237 := (= #293 0::int)
#549 := (not #237)
#588 := (<= #293 0::int)
#457 := (not #588)
#26 := 1::int
#558 := (>= #293 1::int)
#555 := (= #293 1::int)
#27 := (uf_1 1::int)
#589 := (uf_2 #27)
#301 := (= #589 1::int)
#10 := (:var 0 int)
#12 := (uf_1 #10)
#626 := (pattern #12)
#70 := (>= #10 0::int)
#71 := (not #70)
#13 := (uf_2 #12)
#52 := (= #10 #13)
#77 := (or #52 #71)
#627 := (forall (vars (?x2 int)) (:pat #626) #77)
#82 := (forall (vars (?x2 int)) #77)
#630 := (iff #82 #627)
#628 := (iff #77 #77)
#629 := [refl]: #628
#631 := [quant-intro #629]: #630
#132 := (~ #82 #82)
#144 := (~ #77 #77)
#145 := [refl]: #144
#130 := [nnf-pos #145]: #132
#14 := (= #13 #10)
#11 := (<= 0::int #10)
#15 := (implies #11 #14)
#16 := (forall (vars (?x2 int)) #15)
#85 := (iff #16 #82)
#59 := (not #11)
#60 := (or #59 #52)
#65 := (forall (vars (?x2 int)) #60)
#83 := (iff #65 #82)
#80 := (iff #60 #77)
#74 := (or #71 #52)
#78 := (iff #74 #77)
#79 := [rewrite]: #78
#75 := (iff #60 #74)
#72 := (iff #59 #71)
#68 := (iff #11 #70)
#69 := [rewrite]: #68
#73 := [monotonicity #69]: #72
#76 := [monotonicity #73]: #75
#81 := [trans #76 #79]: #80
#84 := [quant-intro #81]: #83
#66 := (iff #16 #65)
#63 := (iff #15 #60)
#56 := (implies #11 #52)
#61 := (iff #56 #60)
#62 := [rewrite]: #61
#57 := (iff #15 #56)
#54 := (iff #14 #52)
#55 := [rewrite]: #54
#58 := [monotonicity #55]: #57
#64 := [trans #58 #62]: #63
#67 := [quant-intro #64]: #66
#86 := [trans #67 #84]: #85
#51 := [asserted]: #16
#87 := [mp #51 #86]: #82
#146 := [mp~ #87 #130]: #82
#632 := [mp #146 #631]: #627
#609 := (not #627)
#578 := (or #609 #301)
#311 := (>= 1::int 0::int)
#585 := (not #311)
#586 := (= 1::int #589)
#590 := (or #586 #585)
#419 := (or #609 #590)
#421 := (iff #419 #578)
#564 := (iff #578 #578)
#565 := [rewrite]: #564
#577 := (iff #590 #301)
#574 := (or #301 false)
#571 := (iff #574 #301)
#576 := [rewrite]: #571
#575 := (iff #590 #574)
#584 := (iff #585 false)
#1 := true
#582 := (not true)
#583 := (iff #582 false)
#580 := [rewrite]: #583
#296 := (iff #585 #582)
#303 := (iff #311 true)
#581 := [rewrite]: #303
#579 := [monotonicity #581]: #296
#573 := [trans #579 #580]: #584
#300 := (iff #586 #301)
#302 := [rewrite]: #300
#570 := [monotonicity #302 #573]: #575
#572 := [trans #570 #576]: #577
#563 := [monotonicity #572]: #421
#566 := [trans #563 #565]: #421
#420 := [quant-inst]: #419
#560 := [mp #420 #566]: #578
#442 := [unit-resolution #560 #632]: #301
#443 := (= #293 #589)
#28 := (= #25 #27)
#129 := [asserted]: #28
#436 := [monotonicity #129]: #443
#451 := [trans #436 #442]: #555
#453 := (not #555)
#454 := (or #453 #558)
#447 := [th-lemma]: #454
#455 := [unit-resolution #447 #451]: #558
#456 := (not #558)
#458 := (or #456 #457)
#459 := [th-lemma]: #458
#552 := [unit-resolution #459 #455]: #457
#553 := (or #549 #588)
#540 := [th-lemma]: #553
#542 := [unit-resolution #540 #552]: #549
#603 := (or #237 #606)
#18 := (= #13 0::int)
#118 := (or #18 #70)
#633 := (forall (vars (?x3 int)) (:pat #626) #118)
#123 := (forall (vars (?x3 int)) #118)
#636 := (iff #123 #633)
#634 := (iff #118 #118)
#635 := [refl]: #634
#637 := [quant-intro #635]: #636
#133 := (~ #123 #123)
#147 := (~ #118 #118)
#148 := [refl]: #147
#134 := [nnf-pos #148]: #133
#17 := (< #10 0::int)
#19 := (implies #17 #18)
#20 := (forall (vars (?x3 int)) #19)
#126 := (iff #20 #123)
#89 := (= 0::int #13)
#95 := (not #17)
#96 := (or #95 #89)
#101 := (forall (vars (?x3 int)) #96)
#124 := (iff #101 #123)
#121 := (iff #96 #118)
#115 := (or #70 #18)
#119 := (iff #115 #118)
#120 := [rewrite]: #119
#116 := (iff #96 #115)
#113 := (iff #89 #18)
#114 := [rewrite]: #113
#111 := (iff #95 #70)
#106 := (not #71)
#109 := (iff #106 #70)
#110 := [rewrite]: #109
#107 := (iff #95 #106)
#104 := (iff #17 #71)
#105 := [rewrite]: #104
#108 := [monotonicity #105]: #107
#112 := [trans #108 #110]: #111
#117 := [monotonicity #112 #114]: #116
#122 := [trans #117 #120]: #121
#125 := [quant-intro #122]: #124
#102 := (iff #20 #101)
#99 := (iff #19 #96)
#92 := (implies #17 #89)
#97 := (iff #92 #96)
#98 := [rewrite]: #97
#93 := (iff #19 #92)
#90 := (iff #18 #89)
#91 := [rewrite]: #90
#94 := [monotonicity #91]: #93
#100 := [trans #94 #98]: #99
#103 := [quant-intro #100]: #102
#127 := [trans #103 #125]: #126
#88 := [asserted]: #20
#128 := [mp #88 #127]: #123
#149 := [mp~ #128 #134]: #123
#638 := [mp #149 #637]: #633
#604 := (not #633)
#602 := (or #604 #237 #606)
#204 := (>= #24 0::int)
#601 := (or #237 #204)
#605 := (or #604 #601)
#317 := (iff #605 #602)
#592 := (or #604 #603)
#315 := (iff #592 #602)
#316 := [rewrite]: #315
#299 := (iff #605 #592)
#242 := (iff #601 #603)
#279 := (iff #204 #606)
#280 := [rewrite]: #279
#243 := [monotonicity #280]: #242
#314 := [monotonicity #243]: #299
#210 := [trans #314 #316]: #317
#591 := [quant-inst]: #605
#587 := [mp #591 #210]: #602
#534 := [unit-resolution #587 #638]: #603
#531 := [unit-resolution #534 #542]: #606
#613 := (not #606)
#607 := (or #613 #612)
#251 := (or #609 #613 #612)
#289 := (not #204)
#294 := (= #24 #293)
#291 := (or #294 #289)
#593 := (or #609 #291)
#597 := (iff #593 #251)
#256 := (or #609 #607)
#595 := (iff #256 #251)
#596 := [rewrite]: #595
#257 := (iff #593 #256)
#608 := (iff #291 #607)
#616 := (or #612 #613)
#266 := (iff #616 #607)
#271 := [rewrite]: #266
#611 := (iff #291 #616)
#614 := (iff #289 #613)
#615 := [monotonicity #280]: #614
#268 := (iff #294 #612)
#399 := [rewrite]: #268
#617 := [monotonicity #399 #615]: #611
#267 := [trans #617 #271]: #608
#258 := [monotonicity #267]: #257
#598 := [trans #258 #596]: #597
#255 := [quant-inst]: #593
#599 := [mp #255 #598]: #251
#533 := [unit-resolution #599 #632]: #607
#543 := [unit-resolution #533 #531]: #612
#544 := (not #612)
#545 := (or #544 #594)
#541 := [th-lemma]: #545
#546 := [unit-resolution #541 #543]: #594
#600 := (>= #610 0::int)
#535 := (or #544 #600)
#536 := [th-lemma]: #535
#537 := [unit-resolution #536 #543]: #600
#557 := (<= #293 1::int)
#538 := (or #453 #557)
#532 := [th-lemma]: #538
#539 := [unit-resolution #532 #451]: #557
[th-lemma #455 #539 #537 #546]: false
unsat
5d4787d5f6bf7b62bda1a48bdd01dc6863801852 223 0
#2 := false
#23 := 3::int
decl uf_2 :: (-> T1 int)
decl uf_3 :: T1
#21 := uf_3
#22 := (uf_2 uf_3)
#137 := (>= #22 3::int)
#135 := (not #137)
#24 := (< #22 3::int)
#136 := (iff #24 #135)
#138 := [rewrite]: #136
#132 := [asserted]: #24
#139 := [mp #132 #138]: #135
#9 := 0::int
decl uf_1 :: (-> int T1)
#25 := 2::int
#26 := (* 2::int #22)
#27 := (uf_1 #26)
#28 := (uf_2 #27)
#632 := -1::int
#634 := (* -1::int #28)
#290 := (+ #26 #634)
#623 := (>= #290 0::int)
#421 := (= #290 0::int)
#302 := (>= #22 0::int)
#625 := (= #28 0::int)
#318 := (not #625)
#322 := (<= #28 0::int)
#324 := (not #322)
#29 := 7::int
#143 := (>= #28 7::int)
#30 := (< #28 7::int)
#31 := (not #30)
#150 := (iff #31 #143)
#141 := (not #143)
#145 := (not #141)
#148 := (iff #145 #143)
#149 := [rewrite]: #148
#146 := (iff #31 #145)
#142 := (iff #30 #141)
#144 := [rewrite]: #142
#147 := [monotonicity #144]: #146
#151 := [trans #147 #149]: #150
#133 := [asserted]: #31
#152 := [mp #133 #151]: #143
#325 := (or #324 #141)
#603 := [th-lemma]: #325
#604 := [unit-resolution #603 #152]: #324
#601 := (or #318 #322)
#605 := [th-lemma]: #601
#602 := [unit-resolution #605 #604]: #318
#10 := (:var 0 int)
#12 := (uf_1 #10)
#648 := (pattern #12)
#73 := (>= #10 0::int)
#13 := (uf_2 #12)
#18 := (= #13 0::int)
#121 := (or #18 #73)
#655 := (forall (vars (?x3 int)) (:pat #648) #121)
#126 := (forall (vars (?x3 int)) #121)
#658 := (iff #126 #655)
#656 := (iff #121 #121)
#657 := [refl]: #656
#659 := [quant-intro #657]: #658
#154 := (~ #126 #126)
#170 := (~ #121 #121)
#171 := [refl]: #170
#155 := [nnf-pos #171]: #154
#17 := (< #10 0::int)
#19 := (implies #17 #18)
#20 := (forall (vars (?x3 int)) #19)
#129 := (iff #20 #126)
#92 := (= 0::int #13)
#98 := (not #17)
#99 := (or #98 #92)
#104 := (forall (vars (?x3 int)) #99)
#127 := (iff #104 #126)
#124 := (iff #99 #121)
#118 := (or #73 #18)
#122 := (iff #118 #121)
#123 := [rewrite]: #122
#119 := (iff #99 #118)
#116 := (iff #92 #18)
#117 := [rewrite]: #116
#114 := (iff #98 #73)
#74 := (not #73)
#109 := (not #74)
#112 := (iff #109 #73)
#113 := [rewrite]: #112
#110 := (iff #98 #109)
#107 := (iff #17 #74)
#108 := [rewrite]: #107
#111 := [monotonicity #108]: #110
#115 := [trans #111 #113]: #114
#120 := [monotonicity #115 #117]: #119
#125 := [trans #120 #123]: #124
#128 := [quant-intro #125]: #127
#105 := (iff #20 #104)
#102 := (iff #19 #99)
#95 := (implies #17 #92)
#100 := (iff #95 #99)
#101 := [rewrite]: #100
#96 := (iff #19 #95)
#93 := (iff #18 #92)
#94 := [rewrite]: #93
#97 := [monotonicity #94]: #96
#103 := [trans #97 #101]: #102
#106 := [quant-intro #103]: #105
#130 := [trans #106 #128]: #129
#91 := [asserted]: #20
#131 := [mp #91 #130]: #126
#172 := [mp~ #131 #155]: #126
#660 := [mp #172 #659]: #655
#337 := (not #655)
#338 := (or #337 #302 #625)
#315 := (>= #26 0::int)
#264 := (or #625 #315)
#339 := (or #337 #264)
#611 := (iff #339 #338)
#627 := (or #302 #625)
#609 := (or #337 #627)
#333 := (iff #609 #338)
#607 := [rewrite]: #333
#610 := (iff #339 #609)
#321 := (iff #264 #627)
#265 := (or #625 #302)
#613 := (iff #265 #627)
#614 := [rewrite]: #613
#626 := (iff #264 #265)
#635 := (iff #315 #302)
#636 := [rewrite]: #635
#624 := [monotonicity #636]: #626
#336 := [trans #624 #614]: #321
#332 := [monotonicity #336]: #610
#608 := [trans #332 #607]: #611
#231 := [quant-inst]: #339
#612 := [mp #231 #608]: #338
#606 := [unit-resolution #612 #660 #602]: #302
#637 := (not #302)
#293 := (or #637 #421)
#55 := (= #10 #13)
#80 := (or #55 #74)
#649 := (forall (vars (?x2 int)) (:pat #648) #80)
#85 := (forall (vars (?x2 int)) #80)
#652 := (iff #85 #649)
#650 := (iff #80 #80)
#651 := [refl]: #650
#653 := [quant-intro #651]: #652
#153 := (~ #85 #85)
#167 := (~ #80 #80)
#168 := [refl]: #167
#134 := [nnf-pos #168]: #153
#14 := (= #13 #10)
#11 := (<= 0::int #10)
#15 := (implies #11 #14)
#16 := (forall (vars (?x2 int)) #15)
#88 := (iff #16 #85)
#62 := (not #11)
#63 := (or #62 #55)
#68 := (forall (vars (?x2 int)) #63)
#86 := (iff #68 #85)
#83 := (iff #63 #80)
#77 := (or #74 #55)
#81 := (iff #77 #80)
#82 := [rewrite]: #81
#78 := (iff #63 #77)
#75 := (iff #62 #74)
#71 := (iff #11 #73)
#72 := [rewrite]: #71
#76 := [monotonicity #72]: #75
#79 := [monotonicity #76]: #78
#84 := [trans #79 #82]: #83
#87 := [quant-intro #84]: #86
#69 := (iff #16 #68)
#66 := (iff #15 #63)
#59 := (implies #11 #55)
#64 := (iff #59 #63)
#65 := [rewrite]: #64
#60 := (iff #15 #59)
#57 := (iff #14 #55)
#58 := [rewrite]: #57
#61 := [monotonicity #58]: #60
#67 := [trans #61 #65]: #66
#70 := [quant-intro #67]: #69
#89 := [trans #70 #87]: #88
#54 := [asserted]: #16
#90 := [mp #54 #89]: #85
#169 := [mp~ #90 #134]: #85
#654 := [mp #169 #653]: #649
#615 := (not #649)
#277 := (or #615 #637 #421)
#243 := (not #315)
#317 := (= #26 #28)
#296 := (or #317 #243)
#278 := (or #615 #296)
#621 := (iff #278 #277)
#280 := (or #615 #293)
#619 := (iff #280 #277)
#620 := [rewrite]: #619
#617 := (iff #278 #280)
#631 := (iff #296 #293)
#639 := (or #421 #637)
#630 := (iff #639 #293)
#289 := [rewrite]: #630
#629 := (iff #296 #639)
#638 := (iff #243 #637)
#633 := [monotonicity #636]: #638
#628 := (iff #317 #421)
#301 := [rewrite]: #628
#288 := [monotonicity #301 #633]: #629
#273 := [trans #288 #289]: #631
#618 := [monotonicity #273]: #617
#616 := [trans #618 #620]: #621
#279 := [quant-inst]: #278
#622 := [mp #279 #616]: #277
#595 := [unit-resolution #622 #654]: #293
#596 := [unit-resolution #595 #606]: #421
#597 := (not #421)
#592 := (or #597 #623)
#593 := [th-lemma]: #592
#598 := [unit-resolution #593 #596]: #623
[th-lemma #152 #598 #139]: false
unsat
60689c41168db239dbf5f3a98d5f2bce0fef9e02 367 0
#2 := false
#9 := 0::int
decl uf_2 :: (-> T1 int)
decl uf_3 :: T1
#22 := uf_3
#23 := (uf_2 uf_3)
#469 := (= #23 0::int)
decl uf_1 :: (-> int T1)
#251 := (uf_1 #23)
#557 := (uf_2 #251)
#558 := (= #557 0::int)
#556 := (>= #23 0::int)
#477 := (not #556)
#144 := -1::int
#348 := (>= #23 -1::int)
#628 := (not #348)
#21 := 1::int
#24 := (+ 1::int #23)
#25 := (uf_1 #24)
#26 := (uf_2 #25)
#635 := (* -1::int #26)
#632 := (+ #23 #635)
#636 := (= #632 -1::int)
#471 := (not #636)
#606 := (<= #632 -1::int)
#527 := (not #606)
#145 := (* -1::int #23)
#146 := (+ #145 #26)
#149 := (uf_1 #146)
#152 := (uf_2 #149)
#504 := (+ #635 #152)
#505 := (+ #23 #504)
#573 := (>= #505 0::int)
#502 := (= #505 0::int)
#595 := (<= #632 0::int)
#526 := [hypothesis]: #606
#514 := (or #527 #595)
#515 := [th-lemma]: #514
#510 := [unit-resolution #515 #526]: #595
#588 := (not #595)
#579 := (or #502 #588)
#10 := (:var 0 int)
#12 := (uf_1 #10)
#672 := (pattern #12)
#76 := (>= #10 0::int)
#77 := (not #76)
#13 := (uf_2 #12)
#58 := (= #10 #13)
#83 := (or #58 #77)
#673 := (forall (vars (?x2 int)) (:pat #672) #83)
#88 := (forall (vars (?x2 int)) #83)
#676 := (iff #88 #673)
#674 := (iff #83 #83)
#675 := [refl]: #674
#677 := [quant-intro #675]: #676
#179 := (~ #88 #88)
#191 := (~ #83 #83)
#192 := [refl]: #191
#177 := [nnf-pos #192]: #179
#14 := (= #13 #10)
#11 := (<= 0::int #10)
#15 := (implies #11 #14)
#16 := (forall (vars (?x2 int)) #15)
#91 := (iff #16 #88)
#65 := (not #11)
#66 := (or #65 #58)
#71 := (forall (vars (?x2 int)) #66)
#89 := (iff #71 #88)
#86 := (iff #66 #83)
#80 := (or #77 #58)
#84 := (iff #80 #83)
#85 := [rewrite]: #84
#81 := (iff #66 #80)
#78 := (iff #65 #77)
#74 := (iff #11 #76)
#75 := [rewrite]: #74
#79 := [monotonicity #75]: #78
#82 := [monotonicity #79]: #81
#87 := [trans #82 #85]: #86
#90 := [quant-intro #87]: #89
#72 := (iff #16 #71)
#69 := (iff #15 #66)
#62 := (implies #11 #58)
#67 := (iff #62 #66)
#68 := [rewrite]: #67
#63 := (iff #15 #62)
#60 := (iff #14 #58)
#61 := [rewrite]: #60
#64 := [monotonicity #61]: #63
#70 := [trans #64 #68]: #69
#73 := [quant-intro #70]: #72
#92 := [trans #73 #90]: #91
#57 := [asserted]: #16
#93 := [mp #57 #92]: #88
#193 := [mp~ #93 #177]: #88
#678 := [mp #193 #677]: #673
#644 := (not #673)
#591 := (or #644 #502 #588)
#499 := (>= #146 0::int)
#500 := (not #499)
#493 := (= #146 #152)
#501 := (or #493 #500)
#587 := (or #644 #501)
#585 := (iff #587 #591)
#581 := (or #644 #579)
#584 := (iff #581 #591)
#578 := [rewrite]: #584
#582 := (iff #587 #581)
#589 := (iff #501 #579)
#580 := (iff #500 #588)
#599 := (iff #499 #595)
#586 := [rewrite]: #599
#577 := [monotonicity #586]: #580
#503 := (iff #493 #502)
#598 := [rewrite]: #503
#590 := [monotonicity #598 #577]: #589
#583 := [monotonicity #590]: #582
#569 := [trans #583 #578]: #585
#592 := [quant-inst]: #587
#570 := [mp #592 #569]: #591
#516 := [unit-resolution #570 #678]: #579
#484 := [unit-resolution #516 #510]: #502
#491 := (not #502)
#450 := (or #491 #573)
#481 := [th-lemma]: #450
#483 := [unit-resolution #481 #484]: #573
#554 := (<= #152 0::int)
#163 := (* -1::int #152)
#138 := (uf_1 0::int)
#141 := (uf_2 #138)
#164 := (+ #141 #163)
#162 := (>= #164 0::int)
#30 := (- #26 #23)
#31 := (uf_1 #30)
#32 := (uf_2 #31)
#27 := (* 0::int #26)
#28 := (uf_1 #27)
#29 := (uf_2 #28)
#33 := (< #29 #32)
#34 := (not #33)
#174 := (iff #34 #162)
#155 := (< #141 #152)
#158 := (not #155)
#172 := (iff #158 #162)
#161 := (not #162)
#167 := (not #161)
#170 := (iff #167 #162)
#171 := [rewrite]: #170
#168 := (iff #158 #167)
#165 := (iff #155 #161)
#166 := [rewrite]: #165
#169 := [monotonicity #166]: #168
#173 := [trans #169 #171]: #172
#159 := (iff #34 #158)
#156 := (iff #33 #155)
#153 := (= #32 #152)
#150 := (= #31 #149)
#147 := (= #30 #146)
#148 := [rewrite]: #147
#151 := [monotonicity #148]: #150
#154 := [monotonicity #151]: #153
#142 := (= #29 #141)
#139 := (= #28 #138)
#136 := (= #27 0::int)
#137 := [rewrite]: #136
#140 := [monotonicity #137]: #139
#143 := [monotonicity #140]: #142
#157 := [monotonicity #143 #154]: #156
#160 := [monotonicity #157]: #159
#175 := [trans #160 #173]: #174
#135 := [asserted]: #34
#176 := [mp #135 #175]: #162
#648 := (<= #141 0::int)
#662 := (= #141 0::int)
#645 := (or #644 #662)
#445 := (>= 0::int 0::int)
#652 := (not #445)
#659 := (= 0::int #141)
#660 := (or #659 #652)
#640 := (or #644 #660)
#284 := (iff #640 #645)
#649 := (iff #645 #645)
#289 := [rewrite]: #649
#642 := (iff #660 #662)
#302 := (or #662 false)
#305 := (iff #302 #662)
#641 := [rewrite]: #305
#303 := (iff #660 #302)
#298 := (iff #652 false)
#1 := true
#313 := (not true)
#314 := (iff #313 false)
#655 := [rewrite]: #314
#318 := (iff #652 #313)
#663 := (iff #445 true)
#653 := [rewrite]: #663
#654 := [monotonicity #653]: #318
#639 := [trans #654 #655]: #298
#661 := (iff #659 #662)
#657 := [rewrite]: #661
#304 := [monotonicity #657 #639]: #303
#643 := [trans #304 #641]: #642
#647 := [monotonicity #643]: #284
#290 := [trans #647 #289]: #284
#646 := [quant-inst]: #640
#650 := [mp #646 #290]: #645
#485 := [unit-resolution #650 #678]: #662
#492 := (not #662)
#494 := (or #492 #648)
#495 := [th-lemma]: #494
#496 := [unit-resolution #495 #485]: #648
#506 := (not #648)
#486 := (or #554 #506 #161)
#507 := [th-lemma]: #486
#462 := [unit-resolution #507 #496 #176]: #554
#463 := [th-lemma #462 #526 #483]: false
#468 := [lemma #463]: #527
#472 := (or #471 #606)
#473 := [th-lemma]: #472
#474 := [unit-resolution #473 #468]: #471
#619 := (or #628 #636)
#622 := (or #644 #628 #636)
#634 := (>= #24 0::int)
#356 := (not #634)
#357 := (= #24 #26)
#631 := (or #357 #356)
#623 := (or #644 #631)
#610 := (iff #623 #622)
#624 := (or #644 #619)
#467 := (iff #624 #622)
#609 := [rewrite]: #467
#465 := (iff #623 #624)
#616 := (iff #631 #619)
#629 := (or #636 #628)
#620 := (iff #629 #619)
#621 := [rewrite]: #620
#626 := (iff #631 #629)
#343 := (iff #356 #628)
#349 := (iff #634 #348)
#627 := [rewrite]: #349
#625 := [monotonicity #627]: #343
#346 := (iff #357 #636)
#347 := [rewrite]: #346
#630 := [monotonicity #347 #625]: #626
#617 := [trans #630 #621]: #616
#466 := [monotonicity #617]: #465
#611 := [trans #466 #609]: #610
#618 := [quant-inst]: #623
#612 := [mp #618 #611]: #622
#475 := [unit-resolution #612 #678]: #619
#476 := [unit-resolution #475 #474]: #628
#478 := (or #477 #348)
#479 := [th-lemma]: #478
#464 := [unit-resolution #479 #476]: #477
#560 := (or #556 #558)
#18 := (= #13 0::int)
#124 := (or #18 #76)
#679 := (forall (vars (?x3 int)) (:pat #672) #124)
#129 := (forall (vars (?x3 int)) #124)
#682 := (iff #129 #679)
#680 := (iff #124 #124)
#681 := [refl]: #680
#683 := [quant-intro #681]: #682
#180 := (~ #129 #129)
#194 := (~ #124 #124)
#195 := [refl]: #194
#181 := [nnf-pos #195]: #180
#17 := (< #10 0::int)
#19 := (implies #17 #18)
#20 := (forall (vars (?x3 int)) #19)
#132 := (iff #20 #129)
#95 := (= 0::int #13)
#101 := (not #17)
#102 := (or #101 #95)
#107 := (forall (vars (?x3 int)) #102)
#130 := (iff #107 #129)
#127 := (iff #102 #124)
#121 := (or #76 #18)
#125 := (iff #121 #124)
#126 := [rewrite]: #125
#122 := (iff #102 #121)
#119 := (iff #95 #18)
#120 := [rewrite]: #119
#117 := (iff #101 #76)
#112 := (not #77)
#115 := (iff #112 #76)
#116 := [rewrite]: #115
#113 := (iff #101 #112)
#110 := (iff #17 #77)
#111 := [rewrite]: #110
#114 := [monotonicity #111]: #113
#118 := [trans #114 #116]: #117
#123 := [monotonicity #118 #120]: #122
#128 := [trans #123 #126]: #127
#131 := [quant-intro #128]: #130
#108 := (iff #20 #107)
#105 := (iff #19 #102)
#98 := (implies #17 #95)
#103 := (iff #98 #102)
#104 := [rewrite]: #103
#99 := (iff #19 #98)
#96 := (iff #18 #95)
#97 := [rewrite]: #96
#100 := [monotonicity #97]: #99
#106 := [trans #100 #104]: #105
#109 := [quant-intro #106]: #108
#133 := [trans #109 #131]: #132
#94 := [asserted]: #20
#134 := [mp #94 #133]: #129
#196 := [mp~ #134 #181]: #129
#684 := [mp #196 #683]: #679
#604 := (not #679)
#539 := (or #604 #556 #558)
#559 := (or #558 #556)
#540 := (or #604 #559)
#547 := (iff #540 #539)
#543 := (or #604 #560)
#546 := (iff #543 #539)
#541 := [rewrite]: #546
#544 := (iff #540 #543)
#550 := (iff #559 #560)
#561 := [rewrite]: #550
#545 := [monotonicity #561]: #544
#533 := [trans #545 #541]: #547
#542 := [quant-inst]: #540
#529 := [mp #542 #533]: #539
#480 := [unit-resolution #529 #684]: #560
#441 := [unit-resolution #480 #464]: #558
#449 := (= #23 #557)
#336 := (= uf_3 #251)
#4 := (:var 0 T1)
#5 := (uf_2 #4)
#664 := (pattern #5)
#6 := (uf_1 #5)
#51 := (= #4 #6)
#665 := (forall (vars (?x1 T1)) (:pat #664) #51)
#54 := (forall (vars (?x1 T1)) #51)
#666 := (iff #54 #665)
#668 := (iff #665 #665)
#669 := [rewrite]: #668
#667 := [rewrite]: #666
#670 := [trans #667 #669]: #666
#188 := (~ #54 #54)
#186 := (~ #51 #51)
#187 := [refl]: #186
#189 := [nnf-pos #187]: #188
#7 := (= #6 #4)
#8 := (forall (vars (?x1 T1)) #7)
#55 := (iff #8 #54)
#52 := (iff #7 #51)
#53 := [rewrite]: #52
#56 := [quant-intro #53]: #55
#50 := [asserted]: #8
#59 := [mp #50 #56]: #54
#190 := [mp~ #59 #189]: #54
#671 := [mp #190 #670]: #665
#337 := (not #665)
#338 := (or #337 #336)
#342 := [quant-inst]: #338
#442 := [unit-resolution #342 #671]: #336
#451 := [monotonicity #442]: #449
#452 := [trans #451 #441]: #469
#453 := (not #469)
#455 := (or #453 #556)
#456 := [th-lemma]: #455
[unit-resolution #456 #464 #452]: false
unsat
94b7ba760bb9dd467688fc28632e0ae8f6f51951 302 0
#2 := false
#9 := 0::int
decl uf_2 :: (-> T1 int)
decl uf_1 :: (-> int T1)
decl uf_3 :: T1
#22 := uf_3
#23 := (uf_2 uf_3)
#21 := 1::int
#24 := (+ 1::int #23)
#25 := (uf_1 #24)
#26 := (uf_2 #25)
#138 := -1::int
#139 := (+ -1::int #26)
#142 := (uf_1 #139)
#289 := (uf_2 #142)
#674 := (* -1::int #289)
#538 := (+ #23 #674)
#532 := (>= #538 0::int)
#536 := (= #23 #289)
#148 := (= uf_3 #142)
#167 := (<= #26 0::int)
#168 := (not #167)
#174 := (iff #148 #168)
#189 := (not #174)
#220 := (iff #189 #148)
#210 := (not #148)
#215 := (not #210)
#218 := (iff #215 #148)
#219 := [rewrite]: #218
#216 := (iff #189 #215)
#213 := (iff #174 #210)
#207 := (iff #148 false)
#211 := (iff #207 #210)
#212 := [rewrite]: #211
#208 := (iff #174 #207)
#205 := (iff #168 false)
#1 := true
#200 := (not true)
#203 := (iff #200 false)
#204 := [rewrite]: #203
#201 := (iff #168 #200)
#198 := (iff #167 true)
#179 := (or #168 #174)
#182 := (not #179)
#27 := (< 0::int #26)
#28 := (ite #27 true false)
#29 := (- #26 1::int)
#30 := (uf_1 #29)
#31 := (= #30 uf_3)
#32 := (iff #28 #31)
#33 := (or #32 #28)
#34 := (not #33)
#185 := (iff #34 #182)
#153 := (iff #27 #148)
#159 := (or #27 #153)
#164 := (not #159)
#183 := (iff #164 #182)
#180 := (iff #159 #179)
#177 := (iff #153 #174)
#171 := (iff #168 #148)
#175 := (iff #171 #174)
#176 := [rewrite]: #175
#172 := (iff #153 #171)
#169 := (iff #27 #168)
#170 := [rewrite]: #169
#173 := [monotonicity #170]: #172
#178 := [trans #173 #176]: #177
#181 := [monotonicity #170 #178]: #180
#184 := [monotonicity #181]: #183
#165 := (iff #34 #164)
#162 := (iff #33 #159)
#156 := (or #153 #27)
#160 := (iff #156 #159)
#161 := [rewrite]: #160
#157 := (iff #33 #156)
#136 := (iff #28 #27)
#137 := [rewrite]: #136
#154 := (iff #32 #153)
#151 := (iff #31 #148)
#145 := (= #142 uf_3)
#149 := (iff #145 #148)
#150 := [rewrite]: #149
#146 := (iff #31 #145)
#143 := (= #30 #142)
#140 := (= #29 #139)
#141 := [rewrite]: #140
#144 := [monotonicity #141]: #143
#147 := [monotonicity #144]: #146
#152 := [trans #147 #150]: #151
#155 := [monotonicity #137 #152]: #154
#158 := [monotonicity #155 #137]: #157
#163 := [trans #158 #161]: #162
#166 := [monotonicity #163]: #165
#186 := [trans #166 #184]: #185
#135 := [asserted]: #34
#187 := [mp #135 #186]: #182
#188 := [not-or-elim #187]: #167
#199 := [iff-true #188]: #198
#202 := [monotonicity #199]: #201
#206 := [trans #202 #204]: #205
#209 := [monotonicity #206]: #208
#214 := [trans #209 #212]: #213
#217 := [monotonicity #214]: #216
#221 := [trans #217 #219]: #220
#190 := [not-or-elim #187]: #189
#222 := [mp #190 #221]: #148
#543 := [monotonicity #222]: #536
#544 := (not #536)
#616 := (or #544 #532)
#618 := [th-lemma]: #616
#628 := [unit-resolution #618 #543]: #532
#354 := (* -1::int #26)
#484 := (+ #23 #354)
#683 := (<= #484 -1::int)
#691 := (= #484 -1::int)
#698 := (>= #23 -1::int)
#521 := (>= #289 0::int)
#652 := (= #289 0::int)
#387 := (>= #26 1::int)
#667 := (not #387)
#629 := (or #667 #168)
#630 := [th-lemma]: #629
#626 := [unit-resolution #630 #188]: #667
#10 := (:var 0 int)
#12 := (uf_1 #10)
#711 := (pattern #12)
#76 := (>= #10 0::int)
#13 := (uf_2 #12)
#18 := (= #13 0::int)
#124 := (or #18 #76)
#718 := (forall (vars (?x3 int)) (:pat #711) #124)
#129 := (forall (vars (?x3 int)) #124)
#721 := (iff #129 #718)
#719 := (iff #124 #124)
#720 := [refl]: #719
#722 := [quant-intro #720]: #721
#229 := (~ #129 #129)
#227 := (~ #124 #124)
#228 := [refl]: #227
#230 := [nnf-pos #228]: #229
#17 := (< #10 0::int)
#19 := (implies #17 #18)
#20 := (forall (vars (?x3 int)) #19)
#132 := (iff #20 #129)
#95 := (= 0::int #13)
#101 := (not #17)
#102 := (or #101 #95)
#107 := (forall (vars (?x3 int)) #102)
#130 := (iff #107 #129)
#127 := (iff #102 #124)
#121 := (or #76 #18)
#125 := (iff #121 #124)
#126 := [rewrite]: #125
#122 := (iff #102 #121)
#119 := (iff #95 #18)
#120 := [rewrite]: #119
#117 := (iff #101 #76)
#77 := (not #76)
#112 := (not #77)
#115 := (iff #112 #76)
#116 := [rewrite]: #115
#113 := (iff #101 #112)
#110 := (iff #17 #77)
#111 := [rewrite]: #110
#114 := [monotonicity #111]: #113
#118 := [trans #114 #116]: #117
#123 := [monotonicity #118 #120]: #122
#128 := [trans #123 #126]: #127
#131 := [quant-intro #128]: #130
#108 := (iff #20 #107)
#105 := (iff #19 #102)
#98 := (implies #17 #95)
#103 := (iff #98 #102)
#104 := [rewrite]: #103
#99 := (iff #19 #98)
#96 := (iff #18 #95)
#97 := [rewrite]: #96
#100 := [monotonicity #97]: #99
#106 := [trans #100 #104]: #105
#109 := [quant-intro #106]: #108
#133 := [trans #109 #131]: #132
#94 := [asserted]: #20
#134 := [mp #94 #133]: #129
#231 := [mp~ #134 #230]: #129
#723 := [mp #231 #722]: #718
#328 := (not #718)
#643 := (or #328 #387 #652)
#673 := (>= #139 0::int)
#653 := (or #652 #673)
#641 := (or #328 #653)
#537 := (iff #641 #643)
#485 := (or #387 #652)
#526 := (or #328 #485)
#487 := (iff #526 #643)
#635 := [rewrite]: #487
#527 := (iff #641 #526)
#640 := (iff #653 #485)
#647 := (or #652 #387)
#486 := (iff #647 #485)
#639 := [rewrite]: #486
#654 := (iff #653 #647)
#388 := (iff #673 #387)
#666 := [rewrite]: #388
#483 := [monotonicity #666]: #654
#642 := [trans #483 #639]: #640
#528 := [monotonicity #642]: #527
#632 := [trans #528 #635]: #537
#644 := [quant-inst]: #641
#633 := [mp #644 #632]: #643
#631 := [unit-resolution #633 #723 #626]: #652
#620 := (not #652)
#621 := (or #620 #521)
#622 := [th-lemma]: #621
#623 := [unit-resolution #622 #631]: #521
#624 := (not #532)
#617 := (not #521)
#608 := (or #698 #617 #624)
#609 := [th-lemma]: #608
#611 := [unit-resolution #609 #623 #628]: #698
#701 := (not #698)
#692 := (or #691 #701)
#58 := (= #10 #13)
#83 := (or #58 #77)
#712 := (forall (vars (?x2 int)) (:pat #711) #83)
#88 := (forall (vars (?x2 int)) #83)
#715 := (iff #88 #712)
#713 := (iff #83 #83)
#714 := [refl]: #713
#716 := [quant-intro #714]: #715
#191 := (~ #88 #88)
#195 := (~ #83 #83)
#193 := [refl]: #195
#225 := [nnf-pos #193]: #191
#14 := (= #13 #10)
#11 := (<= 0::int #10)
#15 := (implies #11 #14)
#16 := (forall (vars (?x2 int)) #15)
#91 := (iff #16 #88)
#65 := (not #11)
#66 := (or #65 #58)
#71 := (forall (vars (?x2 int)) #66)
#89 := (iff #71 #88)
#86 := (iff #66 #83)
#80 := (or #77 #58)
#84 := (iff #80 #83)
#85 := [rewrite]: #84
#81 := (iff #66 #80)
#78 := (iff #65 #77)
#74 := (iff #11 #76)
#75 := [rewrite]: #74
#79 := [monotonicity #75]: #78
#82 := [monotonicity #79]: #81
#87 := [trans #82 #85]: #86
#90 := [quant-intro #87]: #89
#72 := (iff #16 #71)
#69 := (iff #15 #66)
#62 := (implies #11 #58)
#67 := (iff #62 #66)
#68 := [rewrite]: #67
#63 := (iff #15 #62)
#60 := (iff #14 #58)
#61 := [rewrite]: #60
#64 := [monotonicity #61]: #63
#70 := [trans #64 #68]: #69
#73 := [quant-intro #70]: #72
#92 := [trans #73 #90]: #91
#57 := [asserted]: #16
#93 := [mp #57 #92]: #88
#226 := [mp~ #93 #225]: #88
#717 := [mp #226 #716]: #712
#693 := (not #712)
#353 := (or #693 #691 #701)
#380 := (>= #24 0::int)
#377 := (not #380)
#695 := (= #24 #26)
#697 := (or #695 #377)
#694 := (or #693 #697)
#680 := (iff #694 #353)
#678 := (or #693 #692)
#343 := (iff #678 #353)
#344 := [rewrite]: #343
#341 := (iff #694 #678)
#352 := (iff #697 #692)
#696 := (iff #377 #701)
#699 := (iff #380 #698)
#700 := [rewrite]: #699
#702 := [monotonicity #700]: #696
#365 := (iff #695 #691)
#366 := [rewrite]: #365
#357 := [monotonicity #366 #702]: #352
#342 := [monotonicity #357]: #341
#681 := [trans #342 #344]: #680
#337 := [quant-inst]: #694
#682 := [mp #337 #681]: #353
#612 := [unit-resolution #682 #717]: #692
#613 := [unit-resolution #612 #611]: #691
#614 := (not #691)
#610 := (or #614 #683)
#615 := [th-lemma]: #610
#601 := [unit-resolution #615 #613]: #683
[th-lemma #623 #188 #601 #628]: false
unsat
8d2fca14b1477934a0c7f4f6528bd3be029bba7b 458 0
#2 := false
#9 := 0::int
decl uf_2 :: (-> T1 int)
decl uf_1 :: (-> int T1)
decl uf_3 :: T1
#21 := uf_3
#22 := (uf_2 uf_3)
#23 := 1::int
#138 := (+ 1::int #22)
#141 := (uf_1 #138)
#297 := (uf_2 #141)
#357 := (= #297 0::int)
#166 := (uf_1 0::int)
#531 := (uf_2 #166)
#537 := (= #531 0::int)
#10 := (:var 0 int)
#12 := (uf_1 #10)
#672 := (pattern #12)
#78 := (>= #10 0::int)
#79 := (not #78)
#13 := (uf_2 #12)
#60 := (= #10 #13)
#85 := (or #60 #79)
#673 := (forall (vars (?x2 int)) (:pat #672) #85)
#90 := (forall (vars (?x2 int)) #85)
#676 := (iff #90 #673)
#674 := (iff #85 #85)
#675 := [refl]: #674
#677 := [quant-intro #675]: #676
#178 := (~ #90 #90)
#190 := (~ #85 #85)
#191 := [refl]: #190
#175 := [nnf-pos #191]: #178
#14 := (= #13 #10)
#11 := (<= 0::int #10)
#15 := (implies #11 #14)
#16 := (forall (vars (?x2 int)) #15)
#93 := (iff #16 #90)
#67 := (not #11)
#68 := (or #67 #60)
#73 := (forall (vars (?x2 int)) #68)
#91 := (iff #73 #90)
#88 := (iff #68 #85)
#82 := (or #79 #60)
#86 := (iff #82 #85)
#87 := [rewrite]: #86
#83 := (iff #68 #82)
#80 := (iff #67 #79)
#76 := (iff #11 #78)
#77 := [rewrite]: #76
#81 := [monotonicity #77]: #80
#84 := [monotonicity #81]: #83
#89 := [trans #84 #87]: #88
#92 := [quant-intro #89]: #91
#74 := (iff #16 #73)
#71 := (iff #15 #68)
#64 := (implies #11 #60)
#69 := (iff #64 #68)
#70 := [rewrite]: #69
#65 := (iff #15 #64)
#62 := (iff #14 #60)
#63 := [rewrite]: #62
#66 := [monotonicity #63]: #65
#72 := [trans #66 #70]: #71
#75 := [quant-intro #72]: #74
#94 := [trans #75 #92]: #93
#59 := [asserted]: #16
#95 := [mp #59 #94]: #90
#192 := [mp~ #95 #175]: #90
#678 := [mp #192 #677]: #673
#650 := (not #673)
#528 := (or #650 #537)
#529 := (>= 0::int 0::int)
#530 := (not #529)
#534 := (= 0::int #531)
#535 := (or #534 #530)
#508 := (or #650 #535)
#509 := (iff #508 #528)
#514 := (iff #528 #528)
#515 := [rewrite]: #514
#527 := (iff #535 #537)
#520 := (or #537 false)
#525 := (iff #520 #537)
#526 := [rewrite]: #525
#521 := (iff #535 #520)
#519 := (iff #530 false)
#1 := true
#512 := (not true)
#517 := (iff #512 false)
#518 := [rewrite]: #517
#513 := (iff #530 #512)
#538 := (iff #529 true)
#511 := [rewrite]: #538
#406 := [monotonicity #511]: #513
#524 := [trans #406 #518]: #519
#536 := (iff #534 #537)
#532 := [rewrite]: #536
#522 := [monotonicity #532 #524]: #521
#523 := [trans #522 #526]: #527
#490 := [monotonicity #523]: #509
#510 := [trans #490 #515]: #509
#454 := [quant-inst]: #508
#516 := [mp #454 #510]: #528
#394 := [unit-resolution #516 #678]: #537
#355 := (= #297 #531)
#250 := (= #141 #166)
#26 := 2::int
#144 := (* 2::int #22)
#147 := (uf_1 #144)
#150 := (uf_2 #147)
#30 := 3::int
#156 := (+ 3::int #150)
#161 := (uf_1 #156)
#336 := (= #161 #166)
#327 := (not #336)
#588 := (uf_2 #161)
#555 := (= #588 0::int)
#398 := (= #588 #531)
#395 := [hypothesis]: #336
#387 := [monotonicity #395]: #398
#399 := [trans #387 #394]: #555
#390 := (not #555)
#547 := (<= #588 0::int)
#403 := (not #547)
#595 := (>= #150 0::int)
#302 := -1::int
#618 := (* -1::int #150)
#624 := (+ #144 #618)
#488 := (<= #624 0::int)
#465 := (= #624 0::int)
#609 := (>= #22 0::int)
#442 := (= #22 0::int)
#660 := (uf_1 #22)
#495 := (uf_2 #660)
#496 := (= #495 0::int)
#612 := (not #609)
#451 := [hypothesis]: #612
#506 := (or #496 #609)
#18 := (= #13 0::int)
#126 := (or #18 #78)
#679 := (forall (vars (?x3 int)) (:pat #672) #126)
#131 := (forall (vars (?x3 int)) #126)
#682 := (iff #131 #679)
#680 := (iff #126 #126)
#681 := [refl]: #680
#683 := [quant-intro #681]: #682
#179 := (~ #131 #131)
#193 := (~ #126 #126)
#194 := [refl]: #193
#180 := [nnf-pos #194]: #179
#17 := (< #10 0::int)
#19 := (implies #17 #18)
#20 := (forall (vars (?x3 int)) #19)
#134 := (iff #20 #131)
#97 := (= 0::int #13)
#103 := (not #17)
#104 := (or #103 #97)
#109 := (forall (vars (?x3 int)) #104)
#132 := (iff #109 #131)
#129 := (iff #104 #126)
#123 := (or #78 #18)
#127 := (iff #123 #126)
#128 := [rewrite]: #127
#124 := (iff #104 #123)
#121 := (iff #97 #18)
#122 := [rewrite]: #121
#119 := (iff #103 #78)
#114 := (not #79)
#117 := (iff #114 #78)
#118 := [rewrite]: #117
#115 := (iff #103 #114)
#112 := (iff #17 #79)
#113 := [rewrite]: #112
#116 := [monotonicity #113]: #115
#120 := [trans #116 #118]: #119
#125 := [monotonicity #120 #122]: #124
#130 := [trans #125 #128]: #129
#133 := [quant-intro #130]: #132
#110 := (iff #20 #109)
#107 := (iff #19 #104)
#100 := (implies #17 #97)
#105 := (iff #100 #104)
#106 := [rewrite]: #105
#101 := (iff #19 #100)
#98 := (iff #18 #97)
#99 := [rewrite]: #98
#102 := [monotonicity #99]: #101
#108 := [trans #102 #106]: #107
#111 := [quant-intro #108]: #110
#135 := [trans #111 #133]: #134
#96 := [asserted]: #20
#136 := [mp #96 #135]: #131
#195 := [mp~ #136 #180]: #131
#684 := [mp #195 #683]: #679
#346 := (not #679)
#462 := (or #346 #496 #609)
#463 := (or #346 #506)
#469 := (iff #463 #462)
#470 := [rewrite]: #469
#468 := [quant-inst]: #463
#471 := [mp #468 #470]: #462
#452 := [unit-resolution #471 #684]: #506
#453 := [unit-resolution #452 #451]: #496
#456 := (= #22 #495)
#661 := (= uf_3 #660)
#4 := (:var 0 T1)
#5 := (uf_2 #4)
#664 := (pattern #5)
#6 := (uf_1 #5)
#53 := (= #4 #6)
#665 := (forall (vars (?x1 T1)) (:pat #664) #53)
#56 := (forall (vars (?x1 T1)) #53)
#666 := (iff #56 #665)
#668 := (iff #665 #665)
#669 := [rewrite]: #668
#667 := [rewrite]: #666
#670 := [trans #667 #669]: #666
#187 := (~ #56 #56)
#185 := (~ #53 #53)
#186 := [refl]: #185
#188 := [nnf-pos #186]: #187
#7 := (= #6 #4)
#8 := (forall (vars (?x1 T1)) #7)
#57 := (iff #8 #56)
#54 := (iff #7 #53)
#55 := [rewrite]: #54
#58 := [quant-intro #55]: #57
#52 := [asserted]: #8
#61 := [mp #52 #58]: #56
#189 := [mp~ #61 #188]: #56
#671 := [mp #189 #670]: #665
#663 := (not #665)
#653 := (or #663 #661)
#312 := [quant-inst]: #653
#455 := [unit-resolution #312 #671]: #661
#457 := [monotonicity #455]: #456
#458 := [trans #457 #453]: #442
#459 := (not #442)
#460 := (or #459 #609)
#443 := [th-lemma]: #460
#461 := [unit-resolution #443 #451 #458]: false
#431 := [lemma #461]: #609
#613 := (or #465 #612)
#615 := (or #650 #465 #612)
#616 := (>= #144 0::int)
#617 := (not #616)
#622 := (= #144 #150)
#623 := (or #622 #617)
#444 := (or #650 #623)
#602 := (iff #444 #615)
#447 := (or #650 #613)
#603 := (iff #447 #615)
#604 := [rewrite]: #603
#600 := (iff #444 #447)
#614 := (iff #623 #613)
#606 := (iff #617 #612)
#610 := (iff #616 #609)
#611 := [rewrite]: #610
#607 := [monotonicity #611]: #606
#466 := (iff #622 #465)
#467 := [rewrite]: #466
#608 := [monotonicity #467 #607]: #614
#601 := [monotonicity #608]: #600
#605 := [trans #601 #604]: #602
#446 := [quant-inst]: #444
#487 := [mp #446 #605]: #615
#439 := [unit-resolution #487 #678]: #613
#435 := [unit-resolution #439 #431]: #465
#440 := (not #465)
#419 := (or #440 #488)
#422 := [th-lemma]: #419
#426 := [unit-resolution #422 #435]: #488
#430 := (not #488)
#433 := (or #595 #612 #430)
#438 := [th-lemma]: #433
#402 := [unit-resolution #438 #431 #426]: #595
#590 := -3::int
#579 := (* -1::int #588)
#589 := (+ #150 #579)
#553 := (<= #589 -3::int)
#591 := (= #589 -3::int)
#581 := (>= #150 -3::int)
#644 := (>= #22 -1::int)
#428 := (or #612 #644)
#429 := [th-lemma]: #428
#427 := [unit-resolution #429 #431]: #644
#646 := (not #644)
#418 := (or #581 #646 #430)
#421 := [th-lemma]: #418
#423 := [unit-resolution #421 #426 #427]: #581
#584 := (not #581)
#573 := (or #584 #591)
#562 := (or #650 #584 #591)
#599 := (>= #156 0::int)
#586 := (not #599)
#580 := (= #156 #588)
#577 := (or #580 #586)
#563 := (or #650 #577)
#549 := (iff #563 #562)
#566 := (or #650 #573)
#568 := (iff #566 #562)
#548 := [rewrite]: #568
#567 := (iff #563 #566)
#571 := (iff #577 #573)
#569 := (or #591 #584)
#574 := (iff #569 #573)
#575 := [rewrite]: #574
#570 := (iff #577 #569)
#578 := (iff #586 #584)
#582 := (iff #599 #581)
#583 := [rewrite]: #582
#585 := [monotonicity #583]: #578
#587 := (iff #580 #591)
#592 := [rewrite]: #587
#572 := [monotonicity #592 #585]: #570
#576 := [trans #572 #575]: #571
#564 := [monotonicity #576]: #567
#551 := [trans #564 #548]: #549
#565 := [quant-inst]: #563
#552 := [mp #565 #551]: #562
#424 := [unit-resolution #552 #678]: #573
#420 := [unit-resolution #424 #423]: #591
#425 := (not #591)
#415 := (or #425 #553)
#405 := [th-lemma]: #415
#407 := [unit-resolution #405 #420]: #553
#404 := (not #553)
#401 := (not #595)
#386 := (or #403 #401 #404)
#388 := [th-lemma]: #386
#389 := [unit-resolution #388 #407 #402]: #403
#391 := (or #390 #547)
#392 := [th-lemma]: #391
#393 := [unit-resolution #392 #389]: #390
#376 := [unit-resolution #393 #399]: false
#378 := [lemma #376]: #327
#249 := (= #141 #161)
#334 := (not #249)
#396 := (= #297 #588)
#385 := [hypothesis]: #249
#370 := [monotonicity #385]: #396
#380 := (not #396)
#434 := (+ #297 #579)
#280 := (>= #434 0::int)
#414 := (not #280)
#303 := (* -1::int #297)
#304 := (+ #22 #303)
#356 := (>= #304 -1::int)
#641 := (= #304 -1::int)
#649 := (or #641 #646)
#648 := (or #650 #641 #646)
#317 := (>= #138 0::int)
#654 := (not #317)
#639 := (= #138 #297)
#301 := (or #639 #654)
#651 := (or #650 #301)
#363 := (iff #651 #648)
#638 := (or #650 #649)
#361 := (iff #638 #648)
#362 := [rewrite]: #361
#345 := (iff #651 #638)
#288 := (iff #301 #649)
#283 := (iff #654 #646)
#645 := (iff #317 #644)
#640 := [rewrite]: #645
#647 := [monotonicity #640]: #283
#642 := (iff #639 #641)
#643 := [rewrite]: #642
#289 := [monotonicity #643 #647]: #288
#360 := [monotonicity #289]: #345
#256 := [trans #360 #362]: #363
#637 := [quant-inst]: #651
#633 := [mp #637 #256]: #648
#408 := [unit-resolution #633 #678]: #649
#411 := [unit-resolution #408 #427]: #641
#412 := (not #641)
#416 := (or #412 #356)
#409 := [th-lemma]: #416
#417 := [unit-resolution #409 #411]: #356
#410 := [hypothesis]: #280
#413 := [th-lemma #423 #410 #417 #407 #426]: false
#400 := [lemma #413]: #414
#381 := (or #380 #280)
#382 := [th-lemma]: #381
#377 := [unit-resolution #382 #400]: #380
#371 := [unit-resolution #377 #370]: false
#372 := [lemma #371]: #334
#352 := (or #249 #250 #336)
#335 := (not #250)
#338 := (and #334 #335 #327)
#339 := (not #338)
#169 := (distinct #141 #161 #166)
#172 := (not #169)
#33 := (- #22 #22)
#34 := (uf_1 #33)
#27 := (* #22 2::int)
#28 := (uf_1 #27)
#29 := (uf_2 #28)
#31 := (+ #29 3::int)
#32 := (uf_1 #31)
#24 := (+ #22 1::int)
#25 := (uf_1 #24)
#35 := (distinct #25 #32 #34)
#36 := (not #35)
#173 := (iff #36 #172)
#170 := (iff #35 #169)
#167 := (= #34 #166)
#164 := (= #33 0::int)
#165 := [rewrite]: #164
#168 := [monotonicity #165]: #167
#162 := (= #32 #161)
#159 := (= #31 #156)
#153 := (+ #150 3::int)
#157 := (= #153 #156)
#158 := [rewrite]: #157
#154 := (= #31 #153)
#151 := (= #29 #150)
#148 := (= #28 #147)
#145 := (= #27 #144)
#146 := [rewrite]: #145
#149 := [monotonicity #146]: #148
#152 := [monotonicity #149]: #151
#155 := [monotonicity #152]: #154
#160 := [trans #155 #158]: #159
#163 := [monotonicity #160]: #162
#142 := (= #25 #141)
#139 := (= #24 #138)
#140 := [rewrite]: #139
#143 := [monotonicity #140]: #142
#171 := [monotonicity #143 #163 #168]: #170
#174 := [monotonicity #171]: #173
#137 := [asserted]: #36
#177 := [mp #137 #174]: #172
#326 := (or #169 #339)
#659 := [def-axiom]: #326
#351 := [unit-resolution #659 #177]: #339
#314 := (or #338 #249 #250 #336)
#445 := [def-axiom]: #314
#343 := [unit-resolution #445 #351]: #352
#353 := [unit-resolution #343 #372 #378]: #250
#321 := [monotonicity #353]: #355
#323 := [trans #321 #394]: #357
#368 := (not #357)
#620 := (<= #297 0::int)
#364 := (not #620)
#634 := (<= #304 -1::int)
#374 := (or #412 #634)
#373 := [th-lemma]: #374
#375 := [unit-resolution #373 #411]: #634
#365 := (not #634)
#366 := (or #364 #612 #365)
#358 := [th-lemma]: #366
#367 := [unit-resolution #358 #375 #431]: #364
#359 := (or #368 #620)
#369 := [th-lemma]: #359
#350 := [unit-resolution #369 #367]: #368
[unit-resolution #350 #323]: false
unsat
720080123967f7b12d5ac9ba2a5e5203400a16cd 161 0
#2 := false
#9 := 0::int
decl uf_3 :: int
#21 := uf_3
#130 := -1::int
#131 := (* -1::int uf_3)
#154 := (>= uf_3 0::int)
#161 := (ite #154 uf_3 #131)
#648 := (* -1::int #161)
#645 := (+ #131 #648)
#642 := (<= #645 0::int)
#340 := (= #131 #161)
#155 := (not #154)
#649 := (+ uf_3 #648)
#650 := (<= #649 0::int)
#254 := (= uf_3 #161)
#651 := [hypothesis]: #154
#255 := (or #155 #254)
#341 := [def-axiom]: #255
#289 := [unit-resolution #341 #651]: #254
#652 := (not #254)
#654 := (or #652 #650)
#294 := [th-lemma]: #654
#295 := [unit-resolution #294 #289]: #650
#273 := (>= #161 0::int)
#346 := (not #273)
decl uf_2 :: (-> T1 int)
decl uf_1 :: (-> int T1)
#166 := (uf_1 #161)
#169 := (uf_2 #166)
#172 := (= #161 #169)
#175 := (not #172)
#23 := (- uf_3)
#22 := (< uf_3 0::int)
#24 := (ite #22 #23 uf_3)
#25 := (uf_1 #24)
#26 := (uf_2 #25)
#27 := (= #26 #24)
#28 := (not #27)
#178 := (iff #28 #175)
#134 := (ite #22 #131 uf_3)
#137 := (uf_1 #134)
#140 := (uf_2 #137)
#146 := (= #134 #140)
#151 := (not #146)
#176 := (iff #151 #175)
#173 := (iff #146 #172)
#170 := (= #140 #169)
#167 := (= #137 #166)
#164 := (= #134 #161)
#158 := (ite #155 #131 uf_3)
#162 := (= #158 #161)
#163 := [rewrite]: #162
#159 := (= #134 #158)
#156 := (iff #22 #155)
#157 := [rewrite]: #156
#160 := [monotonicity #157]: #159
#165 := [trans #160 #163]: #164
#168 := [monotonicity #165]: #167
#171 := [monotonicity #168]: #170
#174 := [monotonicity #165 #171]: #173
#177 := [monotonicity #174]: #176
#152 := (iff #28 #151)
#149 := (iff #27 #146)
#143 := (= #140 #134)
#147 := (iff #143 #146)
#148 := [rewrite]: #147
#144 := (iff #27 #143)
#135 := (= #24 #134)
#132 := (= #23 #131)
#133 := [rewrite]: #132
#136 := [monotonicity #133]: #135
#141 := (= #26 #140)
#138 := (= #25 #137)
#139 := [monotonicity #136]: #138
#142 := [monotonicity #139]: #141
#145 := [monotonicity #142 #136]: #144
#150 := [trans #145 #148]: #149
#153 := [monotonicity #150]: #152
#179 := [trans #153 #177]: #178
#129 := [asserted]: #28
#180 := [mp #129 #179]: #175
#10 := (:var 0 int)
#12 := (uf_1 #10)
#677 := (pattern #12)
#70 := (>= #10 0::int)
#71 := (not #70)
#13 := (uf_2 #12)
#52 := (= #10 #13)
#77 := (or #52 #71)
#678 := (forall (vars (?x2 int)) (:pat #677) #77)
#82 := (forall (vars (?x2 int)) #77)
#681 := (iff #82 #678)
#679 := (iff #77 #77)
#680 := [refl]: #679
#682 := [quant-intro #680]: #681
#183 := (~ #82 #82)
#195 := (~ #77 #77)
#196 := [refl]: #195
#181 := [nnf-pos #196]: #183
#14 := (= #13 #10)
#11 := (<= 0::int #10)
#15 := (implies #11 #14)
#16 := (forall (vars (?x2 int)) #15)
#85 := (iff #16 #82)
#59 := (not #11)
#60 := (or #59 #52)
#65 := (forall (vars (?x2 int)) #60)
#83 := (iff #65 #82)
#80 := (iff #60 #77)
#74 := (or #71 #52)
#78 := (iff #74 #77)
#79 := [rewrite]: #78
#75 := (iff #60 #74)
#72 := (iff #59 #71)
#68 := (iff #11 #70)
#69 := [rewrite]: #68
#73 := [monotonicity #69]: #72
#76 := [monotonicity #73]: #75
#81 := [trans #76 #79]: #80
#84 := [quant-intro #81]: #83
#66 := (iff #16 #65)
#63 := (iff #15 #60)
#56 := (implies #11 #52)
#61 := (iff #56 #60)
#62 := [rewrite]: #61
#57 := (iff #15 #56)
#54 := (iff #14 #52)
#55 := [rewrite]: #54
#58 := [monotonicity #55]: #57
#64 := [trans #58 #62]: #63
#67 := [quant-intro #64]: #66
#86 := [trans #67 #84]: #85
#51 := [asserted]: #16
#87 := [mp #51 #86]: #82
#197 := [mp~ #87 #181]: #82
#683 := [mp #197 #682]: #678
#450 := (not #678)
#657 := (or #450 #172 #346)
#661 := (or #172 #346)
#331 := (or #450 #661)
#664 := (iff #331 #657)
#665 := [rewrite]: #664
#332 := [quant-inst]: #331
#666 := [mp #332 #665]: #657
#655 := [unit-resolution #666 #683 #180]: #346
#653 := [th-lemma #651 #655 #295]: false
#656 := [lemma #653]: #155
#342 := (or #154 #340)
#333 := [def-axiom]: #342
#365 := [unit-resolution #333 #656]: #340
#366 := (not #340)
#367 := (or #366 #642)
#368 := [th-lemma]: #367
#261 := [unit-resolution #368 #365]: #642
#647 := (<= #161 0::int)
#638 := (or #647 #273)
#639 := [th-lemma]: #638
#361 := [unit-resolution #639 #655]: #647
[th-lemma #656 #361 #261]: false
unsat
980ba021fe0853c3aa46377383e3f0f6fa9e2888 557 0
#2 := false
#9 := 0::int
decl uf_2 :: (-> T1 int)
decl uf_1 :: (-> int T1)
decl uf_5 :: T1
#36 := uf_5
#37 := (uf_2 uf_5)
#35 := 4::int
#38 := (* 4::int #37)
#39 := (uf_1 #38)
#40 := (uf_2 #39)
#527 := (= #40 0::int)
#976 := (not #527)
#502 := (<= #40 0::int)
#971 := (not #502)
#22 := 1::int
#186 := (+ 1::int #40)
#189 := (uf_1 #186)
#506 := (uf_2 #189)
#407 := (<= #506 1::int)
#876 := (not #407)
decl up_4 :: (-> T1 T1 bool)
#4 := (:var 0 T1)
#408 := (up_4 #4 #189)
#393 := (pattern #408)
#413 := (= #4 #189)
#414 := (not #408)
#26 := (uf_1 1::int)
#27 := (= #4 #26)
#392 := (or #27 #414 #413)
#397 := (forall (vars (?x5 T1)) (:pat #393) #392)
#383 := (not #397)
#382 := (or #383 #407)
#375 := (not #382)
decl up_3 :: (-> T1 bool)
#192 := (up_3 #189)
#404 := (not #192)
#841 := (or #404 #375)
decl ?x5!0 :: (-> T1 T1)
#422 := (?x5!0 #189)
#434 := (= #189 #422)
#417 := (up_4 #422 #189)
#418 := (not #417)
#415 := (= #26 #422)
#847 := (or #415 #418 #434)
#850 := (not #847)
#853 := (or #192 #407 #850)
#856 := (not #853)
#844 := (not #841)
#859 := (or #844 #856)
#862 := (not #859)
#5 := (uf_2 #4)
#787 := (pattern #5)
#21 := (up_3 #4)
#835 := (pattern #21)
#210 := (?x5!0 #4)
#274 := (= #4 #210)
#271 := (= #26 #210)
#232 := (up_4 #210 #4)
#233 := (not #232)
#277 := (or #233 #271 #274)
#280 := (not #277)
#163 := (<= #5 1::int)
#289 := (or #21 #163 #280)
#304 := (not #289)
#24 := (:var 1 T1)
#25 := (up_4 #4 #24)
#808 := (pattern #25)
#28 := (= #4 #24)
#147 := (not #25)
#167 := (or #147 #27 #28)
#809 := (forall (vars (?x5 T1)) (:pat #808) #167)
#814 := (not #809)
#817 := (or #163 #814)
#820 := (not #817)
#253 := (not #21)
#823 := (or #253 #820)
#826 := (not #823)
#829 := (or #826 #304)
#832 := (not #829)
#836 := (forall (vars (?x4 T1)) (:pat #835 #787) #832)
#170 := (forall (vars (?x5 T1)) #167)
#236 := (not #170)
#239 := (or #163 #236)
#240 := (not #239)
#215 := (or #253 #240)
#303 := (not #215)
#305 := (or #303 #304)
#306 := (not #305)
#311 := (forall (vars (?x4 T1)) #306)
#837 := (iff #311 #836)
#833 := (iff #306 #832)
#830 := (iff #305 #829)
#827 := (iff #303 #826)
#824 := (iff #215 #823)
#821 := (iff #240 #820)
#818 := (iff #239 #817)
#815 := (iff #236 #814)
#812 := (iff #170 #809)
#810 := (iff #167 #167)
#811 := [refl]: #810
#813 := [quant-intro #811]: #812
#816 := [monotonicity #813]: #815
#819 := [monotonicity #816]: #818
#822 := [monotonicity #819]: #821
#825 := [monotonicity #822]: #824
#828 := [monotonicity #825]: #827
#831 := [monotonicity #828]: #830
#834 := [monotonicity #831]: #833
#838 := [quant-intro #834]: #837
#164 := (not #163)
#173 := (and #164 #170)
#259 := (or #253 #173)
#294 := (and #259 #289)
#297 := (forall (vars (?x4 T1)) #294)
#312 := (iff #297 #311)
#309 := (iff #294 #306)
#214 := (and #215 #289)
#307 := (iff #214 #306)
#308 := [rewrite]: #307
#301 := (iff #294 #214)
#216 := (iff #259 #215)
#268 := (iff #173 #240)
#300 := [rewrite]: #268
#213 := [monotonicity #300]: #216
#302 := [monotonicity #213]: #301
#310 := [trans #302 #308]: #309
#313 := [quant-intro #310]: #312
#230 := (= #210 #4)
#231 := (= #210 #26)
#234 := (or #233 #231 #230)
#235 := (not #234)
#228 := (not #164)
#241 := (or #228 #235)
#258 := (or #21 #241)
#260 := (and #259 #258)
#263 := (forall (vars (?x4 T1)) #260)
#298 := (iff #263 #297)
#295 := (iff #260 #294)
#292 := (iff #258 #289)
#283 := (or #163 #280)
#286 := (or #21 #283)
#290 := (iff #286 #289)
#291 := [rewrite]: #290
#287 := (iff #258 #286)
#284 := (iff #241 #283)
#281 := (iff #235 #280)
#278 := (iff #234 #277)
#275 := (iff #230 #274)
#276 := [rewrite]: #275
#272 := (iff #231 #271)
#273 := [rewrite]: #272
#279 := [monotonicity #273 #276]: #278
#282 := [monotonicity #279]: #281
#269 := (iff #228 #163)
#270 := [rewrite]: #269
#285 := [monotonicity #270 #282]: #284
#288 := [monotonicity #285]: #287
#293 := [trans #288 #291]: #292
#296 := [monotonicity #293]: #295
#299 := [quant-intro #296]: #298
#176 := (iff #21 #173)
#179 := (forall (vars (?x4 T1)) #176)
#264 := (~ #179 #263)
#261 := (~ #176 #260)
#251 := (~ #173 #173)
#249 := (~ #170 #170)
#247 := (~ #167 #167)
#248 := [refl]: #247
#250 := [nnf-pos #248]: #249
#245 := (~ #164 #164)
#246 := [refl]: #245
#252 := [monotonicity #246 #250]: #251
#242 := (not #173)
#243 := (~ #242 #241)
#237 := (~ #236 #235)
#238 := [sk]: #237
#229 := (~ #228 #228)
#209 := [refl]: #229
#244 := [nnf-neg #209 #238]: #243
#256 := (~ #21 #21)
#257 := [refl]: #256
#254 := (~ #253 #253)
#255 := [refl]: #254
#262 := [nnf-pos #255 #257 #244 #252]: #261
#265 := [nnf-pos #262]: #264
#29 := (or #27 #28)
#30 := (implies #25 #29)
#31 := (forall (vars (?x5 T1)) #30)
#23 := (< 1::int #5)
#32 := (and #23 #31)
#33 := (iff #21 #32)
#34 := (forall (vars (?x4 T1)) #33)
#182 := (iff #34 #179)
#148 := (or #147 #29)
#151 := (forall (vars (?x5 T1)) #148)
#154 := (and #23 #151)
#157 := (iff #21 #154)
#160 := (forall (vars (?x4 T1)) #157)
#180 := (iff #160 #179)
#177 := (iff #157 #176)
#174 := (iff #154 #173)
#171 := (iff #151 #170)
#168 := (iff #148 #167)
#169 := [rewrite]: #168
#172 := [quant-intro #169]: #171
#165 := (iff #23 #164)
#166 := [rewrite]: #165
#175 := [monotonicity #166 #172]: #174
#178 := [monotonicity #175]: #177
#181 := [quant-intro #178]: #180
#161 := (iff #34 #160)
#158 := (iff #33 #157)
#155 := (iff #32 #154)
#152 := (iff #31 #151)
#149 := (iff #30 #148)
#150 := [rewrite]: #149
#153 := [quant-intro #150]: #152
#156 := [monotonicity #153]: #155
#159 := [monotonicity #156]: #158
#162 := [quant-intro #159]: #161
#183 := [trans #162 #181]: #182
#146 := [asserted]: #34
#184 := [mp #146 #183]: #179
#266 := [mp~ #184 #265]: #263
#267 := [mp #266 #299]: #297
#314 := [mp #267 #313]: #311
#839 := [mp #314 #838]: #836
#589 := (not #836)
#865 := (or #589 #862)
#416 := (or #418 #415 #434)
#419 := (not #416)
#409 := (or #192 #407 #419)
#410 := (not #409)
#389 := (or #414 #27 #413)
#394 := (forall (vars (?x5 T1)) (:pat #393) #389)
#399 := (not #394)
#401 := (or #407 #399)
#402 := (not #401)
#400 := (or #404 #402)
#405 := (not #400)
#388 := (or #405 #410)
#391 := (not #388)
#866 := (or #589 #391)
#868 := (iff #866 #865)
#870 := (iff #865 #865)
#871 := [rewrite]: #870
#863 := (iff #391 #862)
#860 := (iff #388 #859)
#857 := (iff #410 #856)
#854 := (iff #409 #853)
#851 := (iff #419 #850)
#848 := (iff #416 #847)
#849 := [rewrite]: #848
#852 := [monotonicity #849]: #851
#855 := [monotonicity #852]: #854
#858 := [monotonicity #855]: #857
#845 := (iff #405 #844)
#842 := (iff #400 #841)
#378 := (iff #402 #375)
#376 := (iff #401 #382)
#384 := (or #407 #383)
#387 := (iff #384 #382)
#374 := [rewrite]: #387
#385 := (iff #401 #384)
#380 := (iff #399 #383)
#390 := (iff #394 #397)
#395 := (iff #389 #392)
#396 := [rewrite]: #395
#398 := [quant-intro #396]: #390
#381 := [monotonicity #398]: #380
#386 := [monotonicity #381]: #385
#377 := [trans #386 #374]: #376
#840 := [monotonicity #377]: #378
#843 := [monotonicity #840]: #842
#846 := [monotonicity #843]: #845
#861 := [monotonicity #846 #858]: #860
#864 := [monotonicity #861]: #863
#869 := [monotonicity #864]: #868
#872 := [trans #869 #871]: #868
#867 := [quant-inst]: #866
#873 := [mp #867 #872]: #865
#947 := [unit-resolution #873 #839]: #862
#905 := (or #859 #841)
#906 := [def-axiom]: #905
#948 := [unit-resolution #906 #947]: #841
#951 := (or #844 #375)
#41 := (+ #40 1::int)
#42 := (uf_1 #41)
#43 := (up_3 #42)
#193 := (iff #43 #192)
#190 := (= #42 #189)
#187 := (= #41 #186)
#188 := [rewrite]: #187
#191 := [monotonicity #188]: #190
#194 := [monotonicity #191]: #193
#185 := [asserted]: #43
#197 := [mp #185 #194]: #192
#885 := (or #844 #404 #375)
#886 := [def-axiom]: #885
#952 := [unit-resolution #886 #197]: #951
#953 := [unit-resolution #952 #948]: #375
#877 := (or #382 #876)
#878 := [def-axiom]: #877
#954 := [unit-resolution #878 #953]: #876
#542 := -1::int
#508 := (* -1::int #506)
#493 := (+ #40 #508)
#438 := (>= #493 -1::int)
#494 := (= #493 -1::int)
#496 := (>= #40 -1::int)
#451 := (= #506 0::int)
#959 := (not #451)
#432 := (<= #506 0::int)
#955 := (not #432)
#956 := (or #955 #407)
#957 := [th-lemma]: #956
#958 := [unit-resolution #957 #954]: #955
#960 := (or #959 #432)
#961 := [th-lemma]: #960
#962 := [unit-resolution #961 #958]: #959
#453 := (or #451 #496)
#10 := (:var 0 int)
#12 := (uf_1 #10)
#795 := (pattern #12)
#87 := (>= #10 0::int)
#13 := (uf_2 #12)
#18 := (= #13 0::int)
#135 := (or #18 #87)
#802 := (forall (vars (?x3 int)) (:pat #795) #135)
#140 := (forall (vars (?x3 int)) #135)
#805 := (iff #140 #802)
#803 := (iff #135 #135)
#804 := [refl]: #803
#806 := [quant-intro #804]: #805
#207 := (~ #140 #140)
#225 := (~ #135 #135)
#226 := [refl]: #225
#208 := [nnf-pos #226]: #207
#17 := (< #10 0::int)
#19 := (implies #17 #18)
#20 := (forall (vars (?x3 int)) #19)
#143 := (iff #20 #140)
#106 := (= 0::int #13)
#112 := (not #17)
#113 := (or #112 #106)
#118 := (forall (vars (?x3 int)) #113)
#141 := (iff #118 #140)
#138 := (iff #113 #135)
#132 := (or #87 #18)
#136 := (iff #132 #135)
#137 := [rewrite]: #136
#133 := (iff #113 #132)
#130 := (iff #106 #18)
#131 := [rewrite]: #130
#128 := (iff #112 #87)
#88 := (not #87)
#123 := (not #88)
#126 := (iff #123 #87)
#127 := [rewrite]: #126
#124 := (iff #112 #123)
#121 := (iff #17 #88)
#122 := [rewrite]: #121
#125 := [monotonicity #122]: #124
#129 := [trans #125 #127]: #128
#134 := [monotonicity #129 #131]: #133
#139 := [trans #134 #137]: #138
#142 := [quant-intro #139]: #141
#119 := (iff #20 #118)
#116 := (iff #19 #113)
#109 := (implies #17 #106)
#114 := (iff #109 #113)
#115 := [rewrite]: #114
#110 := (iff #19 #109)
#107 := (iff #18 #106)
#108 := [rewrite]: #107
#111 := [monotonicity #108]: #110
#117 := [trans #111 #115]: #116
#120 := [quant-intro #117]: #119
#144 := [trans #120 #142]: #143
#105 := [asserted]: #20
#145 := [mp #105 #144]: #140
#227 := [mp~ #145 #208]: #140
#807 := [mp #227 #806]: #802
#514 := (not #802)
#445 := (or #514 #451 #496)
#504 := (>= #186 0::int)
#452 := (or #451 #504)
#456 := (or #514 #452)
#429 := (iff #456 #445)
#441 := (or #514 #453)
#423 := (iff #441 #445)
#428 := [rewrite]: #423
#442 := (iff #456 #441)
#454 := (iff #452 #453)
#498 := (iff #504 #496)
#487 := [rewrite]: #498
#455 := [monotonicity #487]: #454
#421 := [monotonicity #455]: #442
#430 := [trans #421 #428]: #429
#439 := [quant-inst]: #456
#431 := [mp #439 #430]: #445
#963 := [unit-resolution #431 #807]: #453
#964 := [unit-resolution #963 #962]: #496
#488 := (not #496)
#490 := (or #494 #488)
#69 := (= #10 #13)
#94 := (or #69 #88)
#796 := (forall (vars (?x2 int)) (:pat #795) #94)
#99 := (forall (vars (?x2 int)) #94)
#799 := (iff #99 #796)
#797 := (iff #94 #94)
#798 := [refl]: #797
#800 := [quant-intro #798]: #799
#206 := (~ #99 #99)
#222 := (~ #94 #94)
#223 := [refl]: #222
#196 := [nnf-pos #223]: #206
#14 := (= #13 #10)
#11 := (<= 0::int #10)
#15 := (implies #11 #14)
#16 := (forall (vars (?x2 int)) #15)
#102 := (iff #16 #99)
#76 := (not #11)
#77 := (or #76 #69)
#82 := (forall (vars (?x2 int)) #77)
#100 := (iff #82 #99)
#97 := (iff #77 #94)
#91 := (or #88 #69)
#95 := (iff #91 #94)
#96 := [rewrite]: #95
#92 := (iff #77 #91)
#89 := (iff #76 #88)
#85 := (iff #11 #87)
#86 := [rewrite]: #85
#90 := [monotonicity #86]: #89
#93 := [monotonicity #90]: #92
#98 := [trans #93 #96]: #97
#101 := [quant-intro #98]: #100
#83 := (iff #16 #82)
#80 := (iff #15 #77)
#73 := (implies #11 #69)
#78 := (iff #73 #77)
#79 := [rewrite]: #78
#74 := (iff #15 #73)
#71 := (iff #14 #69)
#72 := [rewrite]: #71
#75 := [monotonicity #72]: #74
#81 := [trans #75 #79]: #80
#84 := [quant-intro #81]: #83
#103 := [trans #84 #101]: #102
#68 := [asserted]: #16
#104 := [mp #68 #103]: #99
#224 := [mp~ #104 #196]: #99
#801 := [mp #224 #800]: #796
#530 := (not #796)
#492 := (or #530 #494 #488)
#505 := (not #504)
#507 := (= #186 #506)
#500 := (or #507 #505)
#473 := (or #530 #500)
#478 := (iff #473 #492)
#475 := (or #530 #490)
#477 := (iff #475 #492)
#467 := [rewrite]: #477
#466 := (iff #473 #475)
#491 := (iff #500 #490)
#489 := (iff #505 #488)
#481 := [monotonicity #487]: #489
#495 := (iff #507 #494)
#497 := [rewrite]: #495
#482 := [monotonicity #497 #481]: #491
#476 := [monotonicity #482]: #466
#444 := [trans #476 #467]: #478
#474 := [quant-inst]: #473
#446 := [mp #474 #444]: #492
#965 := [unit-resolution #446 #801]: #490
#966 := [unit-resolution #965 #964]: #494
#967 := (not #494)
#968 := (or #967 #438)
#969 := [th-lemma]: #968
#970 := [unit-resolution #969 #966]: #438
#972 := (not #438)
#973 := (or #971 #407 #972)
#974 := [th-lemma]: #973
#975 := [unit-resolution #974 #970 #954]: #971
#977 := (or #976 #502)
#978 := [th-lemma]: #977
#979 := [unit-resolution #978 #975]: #976
#553 := (>= #37 0::int)
#546 := (not #553)
#545 := (* -1::int #40)
#549 := (+ #38 #545)
#551 := (= #549 0::int)
#984 := (not #551)
#524 := (>= #549 0::int)
#980 := (not #524)
#201 := (>= #37 1::int)
#202 := (not #201)
#44 := (<= 1::int #37)
#45 := (not #44)
#203 := (iff #45 #202)
#199 := (iff #44 #201)
#200 := [rewrite]: #199
#204 := [monotonicity #200]: #203
#195 := [asserted]: #45
#205 := [mp #195 #204]: #202
#981 := (or #980 #201 #407 #972)
#982 := [th-lemma]: #981
#983 := [unit-resolution #982 #205 #970 #954]: #980
#985 := (or #984 #524)
#986 := [th-lemma]: #985
#987 := [unit-resolution #986 #983]: #984
#548 := (or #551 #546)
#531 := (or #530 #551 #546)
#403 := (>= #38 0::int)
#562 := (not #403)
#558 := (= #38 #40)
#563 := (or #558 #562)
#534 := (or #530 #563)
#537 := (iff #534 #531)
#539 := (or #530 #548)
#533 := (iff #539 #531)
#536 := [rewrite]: #533
#532 := (iff #534 #539)
#538 := (iff #563 #548)
#547 := (iff #562 #546)
#541 := (iff #403 #553)
#544 := [rewrite]: #541
#543 := [monotonicity #544]: #547
#552 := (iff #558 #551)
#550 := [rewrite]: #552
#528 := [monotonicity #550 #543]: #538
#540 := [monotonicity #528]: #532
#523 := [trans #540 #536]: #537
#535 := [quant-inst]: #534
#525 := [mp #535 #523]: #531
#988 := [unit-resolution #525 #801]: #548
#989 := [unit-resolution #988 #987]: #546
#511 := (or #527 #553)
#515 := (or #514 #527 #553)
#509 := (or #527 #403)
#516 := (or #514 #509)
#522 := (iff #516 #515)
#518 := (or #514 #511)
#521 := (iff #518 #515)
#510 := [rewrite]: #521
#519 := (iff #516 #518)
#512 := (iff #509 #511)
#513 := [monotonicity #544]: #512
#520 := [monotonicity #513]: #519
#499 := [trans #520 #510]: #522
#517 := [quant-inst]: #516
#501 := [mp #517 #499]: #515
#990 := [unit-resolution #501 #807]: #511
[unit-resolution #990 #989 #979]: false
unsat
22877b17eafaba69b1f8a961a616fea28ae70d56 1 0
unsat
b5839159097bbd4e601a5681d1ca3493ec994a7c 1 0
unsat
90e1074350b5dcaae149781bcaa5d643b2ca9f48 1 0
unsat
08c7117fe974f5767051ed5aa61a27ce3084eb1d 1 0
unsat
858012417c9d327d8997f2a5dcb3da095ec65d34 1 0
unsat
84b2eee4890eaadb3638c7e522fb3237b3d476b0 1 0
unsat
8867717d9736308a2c27df0665a6e391b0562076 1 0
unsat
cd79c9a0488ab597d08dd9a0d6ac0f3647003bd6 1 0
unsat
395dd6c10b2a432137f9e3401cba8ec4dd64911b 1 0
unsat
17e3cc9534e04d86f095ec1a92c77d46d7dbb8e5 1 0
unsat
e046ea79beacf4bc3567b3b7f755232369d0c185 1 0
unsat
8ce4235464829d4be72e682f0c72bc5e3c6902d0 1 0
unsat
656a40b977d7716264443900d6bdb4d3d117d52f 1 0
unsat
ec27a57e58719625ff71dd4d68ed53a3851efb5c 1 0
unsat
2c3c366b8488ca0991cc767c94cdb78b18db9d5f 1 0
unsat
5894f6f19250b12885e38f54eae81f143b58fa01 1 0
unsat
e150815d9eb1ec168805b5501d7f4b2e378dd883 1 0
unsat
396d6254e993f414335de9378150e486d3cfcd4e 1 0
unsat
96014c61f582a811aff25ad7fa62b575b830fa8b 1 0
unsat
10580b87c0d062c9854e79d16047a53d045ccfac 1 0
unsat
87b5f388df1f43cc02ac0fa0d6944eb8cd8f8f50 1 0
unsat
92a5e2bb68f74b9e7dd3a9ef79ea641e9700d563 1 0
unsat
152e0f0f0a04b399b057beae92ae0455408b224f 1 0
unsat
41925af4711748a6e411453f2465920a1c6ffb8e 1 0
unsat
757462716f4a2619a1410bdca3faa2d058042c10 1 0
unsat
abdeeb4668a63f19473d6da94232379344d99fea 43 0
#2 := false
#6 := 0::int
decl uf_1 :: (-> bv[2] int)
#4 := bv[0:2]
#5 := (uf_1 bv[0:2])
#225 := (<= #5 0::int)
#309 := (not #225)
#20 := (:var 0 bv[2])
#21 := (uf_1 #20)
#638 := (pattern #21)
#54 := (<= #21 0::int)
#55 := (not #54)
#639 := (forall (vars (?x1 bv[2])) (:pat #638) #55)
#58 := (forall (vars (?x1 bv[2])) #55)
#642 := (iff #58 #639)
#640 := (iff #55 #55)
#641 := [refl]: #640
#643 := [quant-intro #641]: #642
#113 := (~ #58 #58)
#115 := (~ #55 #55)
#116 := [refl]: #115
#114 := [nnf-pos #116]: #113
#22 := (< 0::int #21)
#23 := (forall (vars (?x1 bv[2])) #22)
#59 := (iff #23 #58)
#56 := (iff #22 #55)
#57 := [rewrite]: #56
#60 := [quant-intro #57]: #59
#51 := [asserted]: #23
#61 := [mp #51 #60]: #58
#111 := [mp~ #61 #114]: #58
#644 := [mp #111 #643]: #639
#302 := (not #639)
#313 := (or #302 #309)
#314 := [quant-inst]: #313
#635 := [unit-resolution #314 #644]: #309
#7 := (= #5 0::int)
#47 := [asserted]: #7
#637 := (not #7)
#627 := (or #637 #225)
#287 := [th-lemma]: #627
[unit-resolution #287 #47 #635]: false
unsat
2e4bd6e1ab7bfedbefd3ada8caf5332ba5651065 1 0
unsat
96d2e1aad559535e781a07ee5e55bb19caef769c 50 0
#2 := false
decl uf_6 :: T2
#23 := uf_6
decl uf_4 :: T2
#19 := uf_4
#25 := (= uf_4 uf_6)
decl uf_2 :: (-> T1 T2)
decl uf_1 :: (-> T2 T3 T1)
decl uf_5 :: T3
#20 := uf_5
#21 := (uf_1 uf_4 uf_5)
#22 := (uf_2 #21)
#24 := (= #22 uf_6)
#65 := [asserted]: #24
#143 := (= uf_4 #22)
#11 := (:var 0 T3)
#10 := (:var 1 T2)
#12 := (uf_1 #10 #11)
#567 := (pattern #12)
#16 := (uf_2 #12)
#58 := (= #10 #16)
#574 := (forall (vars (?x4 T2) (?x5 T3)) (:pat #567) #58)
#62 := (forall (vars (?x4 T2) (?x5 T3)) #58)
#577 := (iff #62 #574)
#575 := (iff #58 #58)
#576 := [refl]: #575
#578 := [quant-intro #576]: #577
#71 := (~ #62 #62)
#87 := (~ #58 #58)
#88 := [refl]: #87
#72 := [nnf-pos #88]: #71
#17 := (= #16 #10)
#18 := (forall (vars (?x4 T2) (?x5 T3)) #17)
#63 := (iff #18 #62)
#60 := (iff #17 #58)
#61 := [rewrite]: #60
#64 := [quant-intro #61]: #63
#57 := [asserted]: #18
#67 := [mp #57 #64]: #62
#89 := [mp~ #67 #72]: #62
#579 := [mp #89 #578]: #574
#214 := (not #574)
#551 := (or #214 #143)
#553 := [quant-inst]: #551
#233 := [unit-resolution #553 #579]: #143
#235 := [trans #233 #65]: #25
#26 := (not #25)
#66 := [asserted]: #26
[unit-resolution #66 #235]: false
unsat
008ad82b0a62ff600e66e8f2cc72b5795c7c5032 105 0
#2 := false
decl uf_6 :: (-> T4 T2)
decl uf_10 :: T4
#39 := uf_10
#44 := (uf_6 uf_10)
decl uf_2 :: (-> T1 T2)
decl uf_7 :: T1
#34 := uf_7
#43 := (uf_2 uf_7)
#45 := (= #43 #44)
decl uf_4 :: (-> T3 T2 T4)
decl uf_8 :: T2
#35 := uf_8
decl uf_9 :: T3
#36 := uf_9
#40 := (uf_4 uf_9 uf_8)
#204 := (uf_6 #40)
#598 := (= #204 #44)
#595 := (= #44 #204)
#41 := (= uf_10 #40)
decl uf_1 :: (-> T2 T3 T1)
#37 := (uf_1 uf_8 uf_9)
#38 := (= uf_7 #37)
#42 := (and #38 #41)
#109 := [asserted]: #42
#114 := [and-elim #109]: #41
#256 := [monotonicity #114]: #595
#599 := [symm #256]: #598
#596 := (= #43 #204)
#269 := (= uf_8 #204)
#23 := (:var 0 T2)
#22 := (:var 1 T3)
#24 := (uf_4 #22 #23)
#643 := (pattern #24)
#25 := (uf_6 #24)
#86 := (= #23 #25)
#644 := (forall (vars (?x5 T3) (?x6 T2)) (:pat #643) #86)
#90 := (forall (vars (?x5 T3) (?x6 T2)) #86)
#647 := (iff #90 #644)
#645 := (iff #86 #86)
#646 := [refl]: #645
#648 := [quant-intro #646]: #647
#119 := (~ #90 #90)
#144 := (~ #86 #86)
#145 := [refl]: #144
#120 := [nnf-pos #145]: #119
#26 := (= #25 #23)
#27 := (forall (vars (?x5 T3) (?x6 T2)) #26)
#91 := (iff #27 #90)
#88 := (iff #26 #86)
#89 := [rewrite]: #88
#92 := [quant-intro #89]: #91
#85 := [asserted]: #27
#95 := [mp #85 #92]: #90
#146 := [mp~ #95 #120]: #90
#649 := [mp #146 #648]: #644
#613 := (not #644)
#619 := (or #613 #269)
#609 := [quant-inst]: #619
#267 := [unit-resolution #609 #649]: #269
#600 := (= #43 uf_8)
#289 := (uf_2 #37)
#259 := (= #289 uf_8)
#296 := (= uf_8 #289)
#17 := (:var 0 T3)
#16 := (:var 1 T2)
#18 := (uf_1 #16 #17)
#636 := (pattern #18)
#28 := (uf_2 #18)
#94 := (= #16 #28)
#650 := (forall (vars (?x7 T2) (?x8 T3)) (:pat #636) #94)
#98 := (forall (vars (?x7 T2) (?x8 T3)) #94)
#653 := (iff #98 #650)
#651 := (iff #94 #94)
#652 := [refl]: #651
#654 := [quant-intro #652]: #653
#121 := (~ #98 #98)
#147 := (~ #94 #94)
#148 := [refl]: #147
#122 := [nnf-pos #148]: #121
#29 := (= #28 #16)
#30 := (forall (vars (?x7 T2) (?x8 T3)) #29)
#99 := (iff #30 #98)
#96 := (iff #29 #94)
#97 := [rewrite]: #96
#100 := [quant-intro #97]: #99
#93 := [asserted]: #30
#103 := [mp #93 #100]: #98
#149 := [mp~ #103 #122]: #98
#655 := [mp #149 #654]: #650
#615 := (not #650)
#616 := (or #615 #296)
#617 := [quant-inst]: #616
#618 := [unit-resolution #617 #655]: #296
#597 := [symm #618]: #259
#611 := (= #43 #289)
#113 := [and-elim #109]: #38
#252 := [monotonicity #113]: #611
#601 := [trans #252 #597]: #600
#602 := [trans #601 #267]: #596
#238 := [trans #602 #599]: #45
#46 := (not #45)
#110 := [asserted]: #46
[unit-resolution #110 #238]: false
unsat
0a15a60660bc0c3f06688ad5de50ed50a24d0df0 181 0
#2 := false
decl uf_1 :: (-> T1 T2 T3)
decl uf_3 :: T2
#22 := uf_3
decl uf_6 :: T1
#30 := uf_6
#36 := (uf_1 uf_6 uf_3)
decl uf_2 :: (-> T1 T2 T3 T1)
decl uf_8 :: T3
#33 := uf_8
decl uf_5 :: T2
#26 := uf_5
decl uf_7 :: T3
#31 := uf_7
decl uf_4 :: T2
#23 := uf_4
#32 := (uf_2 uf_6 uf_4 uf_7)
#34 := (uf_2 #32 uf_5 uf_8)
#35 := (uf_1 #34 uf_3)
#37 := (= #35 #36)
#223 := (uf_1 #32 uf_4)
#214 := (uf_2 uf_6 uf_4 #223)
#552 := (uf_1 #214 uf_3)
#555 := (= #552 #36)
#560 := (= #36 #552)
#556 := (= #223 #552)
#24 := (= uf_3 uf_4)
#561 := (ite #24 #556 #560)
#8 := (:var 0 T2)
#6 := (:var 1 T3)
#5 := (:var 2 T2)
#4 := (:var 3 T1)
#7 := (uf_2 #4 #5 #6)
#9 := (uf_1 #7 #8)
#575 := (pattern #9)
#11 := (uf_1 #4 #8)
#100 := (= #9 #11)
#99 := (= #6 #9)
#55 := (= #5 #8)
#83 := (ite #55 #99 #100)
#576 := (forall (vars (?x1 T1) (?x2 T2) (?x3 T3) (?x4 T2)) (:pat #575) #83)
#90 := (forall (vars (?x1 T1) (?x2 T2) (?x3 T3) (?x4 T2)) #83)
#579 := (iff #90 #576)
#577 := (iff #83 #83)
#578 := [refl]: #577
#580 := [quant-intro #578]: #579
#58 := (ite #55 #6 #11)
#61 := (= #9 #58)
#64 := (forall (vars (?x1 T1) (?x2 T2) (?x3 T3) (?x4 T2)) #61)
#87 := (iff #64 #90)
#84 := (iff #61 #83)
#89 := [rewrite]: #84
#88 := [quant-intro #89]: #87
#93 := (~ #64 #64)
#91 := (~ #61 #61)
#92 := [refl]: #91
#94 := [nnf-pos #92]: #93
#10 := (= #8 #5)
#12 := (ite #10 #6 #11)
#13 := (= #9 #12)
#14 := (forall (vars (?x1 T1) (?x2 T2) (?x3 T3) (?x4 T2)) #13)
#65 := (iff #14 #64)
#62 := (iff #13 #61)
#59 := (= #12 #58)
#56 := (iff #10 #55)
#57 := [rewrite]: #56
#60 := [monotonicity #57]: #59
#63 := [monotonicity #60]: #62
#66 := [quant-intro #63]: #65
#54 := [asserted]: #14
#69 := [mp #54 #66]: #64
#95 := [mp~ #69 #94]: #64
#85 := [mp #95 #88]: #90
#581 := [mp #85 #580]: #576
#250 := (not #576)
#548 := (or #250 #561)
#551 := (= uf_4 uf_3)
#557 := (ite #551 #556 #555)
#549 := (or #250 #557)
#271 := (iff #549 #548)
#273 := (iff #548 #548)
#259 := [rewrite]: #273
#559 := (iff #557 #561)
#198 := (iff #555 #560)
#199 := [rewrite]: #198
#193 := (iff #551 #24)
#558 := [rewrite]: #193
#562 := [monotonicity #558 #199]: #559
#272 := [monotonicity #562]: #271
#274 := [trans #272 #259]: #271
#255 := [quant-inst]: #549
#165 := [mp #255 #274]: #548
#510 := [unit-resolution #165 #581]: #561
#544 := (not #561)
#497 := (or #544 #560)
#25 := (not #24)
#27 := (= uf_3 uf_5)
#28 := (not #27)
#29 := (and #25 #28)
#75 := [asserted]: #29
#79 := [and-elim #75]: #25
#268 := (or #544 #24 #560)
#542 := [def-axiom]: #268
#499 := [unit-resolution #542 #79]: #497
#491 := [unit-resolution #499 #510]: #560
#493 := [symm #491]: #555
#494 := (= #35 #552)
#157 := (uf_1 #32 uf_3)
#503 := (= #157 #552)
#502 := (= #552 #157)
#509 := (= #214 #32)
#415 := (= #223 uf_7)
#566 := (= uf_7 #223)
#17 := (:var 0 T3)
#16 := (:var 1 T2)
#15 := (:var 2 T1)
#18 := (uf_2 #15 #16 #17)
#582 := (pattern #18)
#19 := (uf_1 #18 #16)
#68 := (= #17 #19)
#584 := (forall (vars (?x5 T1) (?x6 T2) (?x7 T3)) (:pat #582) #68)
#72 := (forall (vars (?x5 T1) (?x6 T2) (?x7 T3)) #68)
#583 := (iff #72 #584)
#586 := (iff #584 #584)
#587 := [rewrite]: #586
#585 := [rewrite]: #583
#588 := [trans #585 #587]: #583
#82 := (~ #72 #72)
#96 := (~ #68 #68)
#97 := [refl]: #96
#78 := [nnf-pos #97]: #82
#20 := (= #19 #17)
#21 := (forall (vars (?x5 T1) (?x6 T2) (?x7 T3)) #20)
#73 := (iff #21 #72)
#70 := (iff #20 #68)
#71 := [rewrite]: #70
#74 := [quant-intro #71]: #73
#67 := [asserted]: #21
#77 := [mp #67 #74]: #72
#98 := [mp~ #77 #78]: #72
#589 := [mp #98 #588]: #584
#211 := (not #584)
#212 := (or #211 #566)
#213 := [quant-inst]: #212
#414 := [unit-resolution #213 #589]: #566
#416 := [symm #414]: #415
#506 := [monotonicity #416]: #509
#498 := [monotonicity #506]: #502
#492 := [symm #498]: #503
#244 := (= #35 #157)
#158 := (= uf_8 #35)
#248 := (ite #27 #158 #244)
#247 := (or #250 #248)
#245 := (= uf_5 uf_3)
#159 := (ite #245 #158 #244)
#251 := (or #250 #159)
#567 := (iff #251 #247)
#224 := (iff #247 #247)
#356 := [rewrite]: #224
#249 := (iff #159 #248)
#246 := (iff #245 #27)
#237 := [rewrite]: #246
#177 := [monotonicity #237]: #249
#569 := [monotonicity #177]: #567
#563 := [trans #569 #356]: #567
#230 := [quant-inst]: #251
#235 := [mp #230 #563]: #247
#488 := [unit-resolution #235 #581]: #248
#236 := (not #248)
#490 := (or #236 #244)
#80 := [and-elim #75]: #28
#572 := (or #236 #27 #244)
#573 := [def-axiom]: #572
#500 := [unit-resolution #573 #80]: #490
#501 := [unit-resolution #500 #488]: #244
#495 := [trans #501 #492]: #494
#489 := [trans #495 #493]: #37
#38 := (not #37)
#76 := [asserted]: #38
[unit-resolution #76 #489]: false
unsat
dde2364f13fc9ce8af00c7a02bfea9a6c979a805 62 0
#2 := false
decl up_4 :: (-> T1 T2 bool)
decl uf_3 :: T2
#5 := uf_3
decl uf_2 :: T1
#4 := uf_2
#7 := (up_4 uf_2 uf_3)
#60 := (not #7)
decl up_1 :: (-> T1 T2 bool)
#6 := (up_1 uf_2 uf_3)
#33 := (iff #6 #7)
#49 := (or #6 #7 #33)
#52 := (not #49)
#1 := true
#11 := (iff #7 true)
#10 := (iff #6 true)
#12 := (or #10 #11)
#8 := (and #7 true)
#9 := (iff #6 #8)
#13 := (or #9 #12)
#14 := (not #13)
#55 := (iff #14 #52)
#40 := (or #6 #7)
#43 := (or #33 #40)
#46 := (not #43)
#53 := (iff #46 #52)
#50 := (iff #43 #49)
#51 := [rewrite]: #50
#54 := [monotonicity #51]: #53
#47 := (iff #14 #46)
#44 := (iff #13 #43)
#41 := (iff #12 #40)
#38 := (iff #11 #7)
#39 := [rewrite]: #38
#36 := (iff #10 #6)
#37 := [rewrite]: #36
#42 := [monotonicity #37 #39]: #41
#34 := (iff #9 #33)
#31 := (iff #8 #7)
#32 := [rewrite]: #31
#35 := [monotonicity #32]: #34
#45 := [monotonicity #35 #42]: #44
#48 := [monotonicity #45]: #47
#56 := [trans #48 #54]: #55
#30 := [asserted]: #14
#57 := [mp #30 #56]: #52
#61 := [not-or-elim #57]: #60
#58 := (not #6)
#59 := [not-or-elim #57]: #58
#72 := (or #7 #6)
#66 := (iff #7 #58)
#62 := (not #33)
#64 := (iff #62 #66)
#67 := [rewrite]: #64
#63 := [not-or-elim #57]: #62
#68 := [mp #63 #67]: #66
#69 := (not #66)
#70 := (or #7 #6 #69)
#71 := [def-axiom]: #70
#73 := [unit-resolution #71 #68]: #72
[unit-resolution #73 #59 #61]: false
unsat
3cb6787c7063b0a04bff9e2bfa4203b73903dabe 115 0
#2 := false
decl up_2 :: (-> T2 bool)
decl uf_3 :: T2
#10 := uf_3
#17 := (up_2 uf_3)
#78 := (not #17)
decl uf_1 :: (-> T1 T1)
decl uf_4 :: T1
#14 := uf_4
#15 := (uf_1 uf_4)
#46 := (= uf_4 #15)
#79 := (not #46)
#145 := [hypothesis]: #79
#4 := (:var 0 T1)
#5 := (uf_1 #4)
#563 := (pattern #5)
#37 := (= #4 #5)
#564 := (forall (vars (?x1 T1)) (:pat #563) #37)
#40 := (forall (vars (?x1 T1)) #37)
#567 := (iff #40 #564)
#565 := (iff #37 #37)
#566 := [refl]: #565
#568 := [quant-intro #566]: #567
#72 := (~ #40 #40)
#70 := (~ #37 #37)
#71 := [refl]: #70
#73 := [nnf-pos #71]: #72
#6 := (= #5 #4)
#7 := (forall (vars (?x1 T1)) #6)
#41 := (iff #7 #40)
#38 := (iff #6 #37)
#39 := [rewrite]: #38
#42 := [quant-intro #39]: #41
#36 := [asserted]: #7
#45 := [mp #36 #42]: #40
#74 := [mp~ #45 #73]: #40
#569 := [mp #74 #568]: #564
#146 := (not #564)
#233 := (or #146 #46)
#147 := [quant-inst]: #233
#232 := [unit-resolution #147 #569 #145]: false
#234 := [lemma #232]: #46
#66 := (or #78 #79)
#54 := (and #17 #46)
#59 := (not #54)
#85 := (iff #59 #66)
#67 := (not #66)
#80 := (not #67)
#83 := (iff #80 #66)
#84 := [rewrite]: #83
#81 := (iff #59 #80)
#68 := (iff #54 #67)
#69 := [rewrite]: #68
#82 := [monotonicity #69]: #81
#86 := [trans #82 #84]: #85
#1 := true
#18 := (iff #17 true)
#16 := (= #15 uf_4)
#19 := (and #16 #18)
#20 := (not #19)
#60 := (iff #20 #59)
#57 := (iff #19 #54)
#51 := (and #46 #17)
#55 := (iff #51 #54)
#56 := [rewrite]: #55
#52 := (iff #19 #51)
#49 := (iff #18 #17)
#50 := [rewrite]: #49
#47 := (iff #16 #46)
#48 := [rewrite]: #47
#53 := [monotonicity #48 #50]: #52
#58 := [trans #53 #56]: #57
#61 := [monotonicity #58]: #60
#44 := [asserted]: #20
#64 := [mp #44 #61]: #59
#87 := [mp #64 #86]: #66
#561 := [unit-resolution #87 #234]: #78
#8 := (:var 0 T2)
#9 := (up_2 #8)
#570 := (pattern #9)
#11 := (= #8 uf_3)
#12 := (iff #9 #11)
#571 := (forall (vars (?x2 T2)) (:pat #570) #12)
#13 := (forall (vars (?x2 T2)) #12)
#574 := (iff #13 #571)
#572 := (iff #12 #12)
#573 := [refl]: #572
#575 := [quant-intro #573]: #574
#65 := (~ #13 #13)
#75 := (~ #12 #12)
#76 := [refl]: #75
#62 := [nnf-pos #76]: #65
#43 := [asserted]: #13
#77 := [mp~ #43 #62]: #13
#576 := [mp #77 #575]: #571
#555 := (not #571)
#557 := (or #555 #17)
#225 := (= uf_3 uf_3)
#236 := (iff #17 #225)
#212 := (or #555 #236)
#551 := (iff #212 #557)
#224 := (iff #557 #557)
#558 := [rewrite]: #224
#239 := (iff #236 #17)
#238 := (iff #236 #18)
#237 := (iff #225 true)
#165 := [rewrite]: #237
#235 := [monotonicity #165]: #238
#218 := [trans #235 #50]: #239
#223 := [monotonicity #218]: #551
#559 := [trans #223 #558]: #551
#344 := [quant-inst]: #212
#560 := [mp #344 #559]: #557
[unit-resolution #560 #576 #561]: false
unsat
dcb635ada6f2482ea11de30713fe962bcb57c9ad 464 0
#2 := false
decl uf_2 :: (-> T2 T3 T3)
decl uf_4 :: T3
#15 := uf_4
decl uf_6 :: (-> int T2)
#48 := 2::int
#49 := (uf_6 2::int)
#50 := (uf_2 #49 uf_4)
#23 := 1::int
#44 := (uf_6 1::int)
#51 := (uf_2 #44 #50)
decl uf_1 :: (-> T1 T3 T3)
#45 := (uf_2 #44 uf_4)
#31 := 0::int
#43 := (uf_6 0::int)
#46 := (uf_2 #43 #45)
decl uf_5 :: T1
#19 := uf_5
#47 := (uf_1 uf_5 #46)
#52 := (= #47 #51)
#266 := (uf_1 uf_5 #45)
decl uf_3 :: (-> T1 T2 T2)
#351 := (uf_3 uf_5 #43)
#267 := (uf_2 #351 #266)
#791 := (= #267 #51)
#789 := (= #51 #267)
#752 := (= #50 #266)
#521 := (uf_1 uf_5 uf_4)
#522 := (uf_3 uf_5 #44)
#615 := (uf_2 #522 #521)
#750 := (= #615 #266)
#612 := (= #266 #615)
#6 := (:var 0 T3)
#4 := (:var 2 T1)
#10 := (uf_1 #4 #6)
#5 := (:var 1 T2)
#9 := (uf_3 #4 #5)
#11 := (uf_2 #9 #10)
#682 := (pattern #11)
#7 := (uf_2 #5 #6)
#8 := (uf_1 #4 #7)
#681 := (pattern #8)
#12 := (= #8 #11)
#683 := (forall (vars (?x1 T1) (?x2 T2) (?x3 T3)) (:pat #681 #682) #12)
#13 := (forall (vars (?x1 T1) (?x2 T2) (?x3 T3)) #12)
#686 := (iff #13 #683)
#684 := (iff #12 #12)
#685 := [refl]: #684
#687 := [quant-intro #685]: #686
#195 := (~ #13 #13)
#193 := (~ #12 #12)
#194 := [refl]: #193
#196 := [nnf-pos #194]: #195
#69 := [asserted]: #13
#197 := [mp~ #69 #196]: #13
#688 := [mp #197 #687]: #683
#355 := (not #683)
#605 := (or #355 #612)
#597 := [quant-inst]: #605
#274 := [unit-resolution #597 #688]: #612
#751 := [symm #274]: #750
#748 := (= #50 #615)
#579 := (= uf_4 #521)
#14 := (:var 0 T1)
#16 := (uf_1 #14 uf_4)
#689 := (pattern #16)
#71 := (= uf_4 #16)
#690 := (forall (vars (?x4 T1)) (:pat #689) #71)
#74 := (forall (vars (?x4 T1)) #71)
#693 := (iff #74 #690)
#691 := (iff #71 #71)
#692 := [refl]: #691
#694 := [quant-intro #692]: #693
#180 := (~ #74 #74)
#198 := (~ #71 #71)
#199 := [refl]: #198
#178 := [nnf-pos #199]: #180
#17 := (= #16 uf_4)
#18 := (forall (vars (?x4 T1)) #17)
#75 := (iff #18 #74)
#72 := (iff #17 #71)
#73 := [rewrite]: #72
#76 := [quant-intro #73]: #75
#70 := [asserted]: #18
#79 := [mp #70 #76]: #74
#200 := [mp~ #79 #178]: #74
#695 := [mp #200 #694]: #690
#583 := (not #690)
#584 := (or #583 #579)
#581 := [quant-inst]: #584
#275 := [unit-resolution #581 #695]: #579
#746 := (= #49 #522)
decl uf_7 :: (-> T2 int)
#668 := (uf_7 #44)
#596 := (+ 1::int #668)
#606 := (uf_6 #596)
#742 := (= #606 #522)
#609 := (= #522 #606)
#20 := (:var 0 T2)
#22 := (uf_7 #20)
#697 := (pattern #22)
#21 := (uf_3 uf_5 #20)
#696 := (pattern #21)
#78 := (+ 1::int #22)
#82 := (uf_6 #78)
#85 := (= #21 #82)
#698 := (forall (vars (?x5 T2)) (:pat #696 #697) #85)
#88 := (forall (vars (?x5 T2)) #85)
#701 := (iff #88 #698)
#699 := (iff #85 #85)
#700 := [refl]: #699
#702 := [quant-intro #700]: #701
#181 := (~ #88 #88)
#201 := (~ #85 #85)
#202 := [refl]: #201
#182 := [nnf-pos #202]: #181
#24 := (+ #22 1::int)
#25 := (uf_6 #24)
#26 := (= #21 #25)
#27 := (forall (vars (?x5 T2)) #26)
#89 := (iff #27 #88)
#86 := (iff #26 #85)
#83 := (= #25 #82)
#80 := (= #24 #78)
#81 := [rewrite]: #80
#84 := [monotonicity #81]: #83
#87 := [monotonicity #84]: #86
#90 := [quant-intro #87]: #89
#77 := [asserted]: #27
#93 := [mp #77 #90]: #88
#203 := [mp~ #93 #182]: #88
#703 := [mp #203 #702]: #698
#607 := (not #698)
#600 := (or #607 #609)
#601 := [quant-inst]: #600
#278 := [unit-resolution #601 #703]: #609
#743 := [symm #278]: #742
#744 := (= #49 #606)
#526 := (uf_7 #606)
#325 := (uf_6 #526)
#327 := (= #325 #606)
#28 := (uf_6 #22)
#92 := (= #20 #28)
#704 := (forall (vars (?x6 T2)) (:pat #697) #92)
#96 := (forall (vars (?x6 T2)) #92)
#705 := (iff #96 #704)
#707 := (iff #704 #704)
#708 := [rewrite]: #707
#706 := [rewrite]: #705
#709 := [trans #706 #708]: #705
#183 := (~ #96 #96)
#204 := (~ #92 #92)
#205 := [refl]: #204
#184 := [nnf-pos #205]: #183
#29 := (= #28 #20)
#30 := (forall (vars (?x6 T2)) #29)
#97 := (iff #30 #96)
#94 := (iff #29 #92)
#95 := [rewrite]: #94
#98 := [quant-intro #95]: #97
#91 := [asserted]: #30
#101 := [mp #91 #98]: #96
#206 := [mp~ #101 #184]: #96
#710 := [mp #206 #709]: #704
#368 := (not #704)
#309 := (or #368 #327)
#326 := (= #606 #325)
#311 := (or #368 #326)
#310 := (iff #311 #309)
#301 := (iff #309 #309)
#303 := [rewrite]: #301
#316 := (iff #326 #327)
#328 := [rewrite]: #316
#313 := [monotonicity #328]: #310
#304 := [trans #313 #303]: #310
#312 := [quant-inst]: #311
#307 := [mp #312 #304]: #309
#279 := [unit-resolution #307 #710]: #327
#740 := (= #49 #325)
#738 := (= 2::int #526)
#736 := (= #526 2::int)
#568 := -1::int
#533 := (* -1::int #668)
#501 := (+ #526 #533)
#481 := (<= #501 1::int)
#527 := (= #501 1::int)
#467 := (>= #668 -1::int)
#592 := (>= #668 1::int)
#378 := (= #668 1::int)
#32 := (:var 0 int)
#34 := (uf_6 #32)
#711 := (pattern #34)
#118 := (>= #32 0::int)
#119 := (not #118)
#35 := (uf_7 #34)
#100 := (= #32 #35)
#125 := (or #100 #119)
#712 := (forall (vars (?x7 int)) (:pat #711) #125)
#130 := (forall (vars (?x7 int)) #125)
#715 := (iff #130 #712)
#713 := (iff #125 #125)
#714 := [refl]: #713
#716 := [quant-intro #714]: #715
#185 := (~ #130 #130)
#207 := (~ #125 #125)
#208 := [refl]: #207
#186 := [nnf-pos #208]: #185
#36 := (= #35 #32)
#33 := (<= 0::int #32)
#37 := (implies #33 #36)
#38 := (forall (vars (?x7 int)) #37)
#133 := (iff #38 #130)
#107 := (not #33)
#108 := (or #107 #100)
#113 := (forall (vars (?x7 int)) #108)
#131 := (iff #113 #130)
#128 := (iff #108 #125)
#122 := (or #119 #100)
#126 := (iff #122 #125)
#127 := [rewrite]: #126
#123 := (iff #108 #122)
#120 := (iff #107 #119)
#116 := (iff #33 #118)
#117 := [rewrite]: #116
#121 := [monotonicity #117]: #120
#124 := [monotonicity #121]: #123
#129 := [trans #124 #127]: #128
#132 := [quant-intro #129]: #131
#114 := (iff #38 #113)
#111 := (iff #37 #108)
#104 := (implies #33 #100)
#109 := (iff #104 #108)
#110 := [rewrite]: #109
#105 := (iff #37 #104)
#102 := (iff #36 #100)
#103 := [rewrite]: #102
#106 := [monotonicity #103]: #105
#112 := [trans #106 #110]: #111
#115 := [quant-intro #112]: #114
#134 := [trans #115 #132]: #133
#99 := [asserted]: #38
#135 := [mp #99 #134]: #130
#209 := [mp~ #135 #186]: #130
#717 := [mp #209 #716]: #712
#314 := (not #712)
#365 := (or #314 #378)
#667 := (>= 1::int 0::int)
#665 := (not #667)
#654 := (= 1::int #668)
#655 := (or #654 #665)
#366 := (or #314 #655)
#645 := (iff #366 #365)
#642 := (iff #365 #365)
#646 := [rewrite]: #642
#363 := (iff #655 #378)
#374 := (or #378 false)
#649 := (iff #374 #378)
#653 := [rewrite]: #649
#648 := (iff #655 #374)
#651 := (iff #665 false)
#1 := true
#342 := (not true)
#677 := (iff #342 false)
#678 := [rewrite]: #677
#273 := (iff #665 #342)
#379 := (iff #667 true)
#380 := [rewrite]: #379
#650 := [monotonicity #380]: #273
#373 := [trans #650 #678]: #651
#362 := (iff #654 #378)
#377 := [rewrite]: #362
#652 := [monotonicity #377 #373]: #648
#364 := [trans #652 #653]: #363
#359 := [monotonicity #364]: #645
#643 := [trans #359 #646]: #645
#644 := [quant-inst]: #366
#647 := [mp #644 #643]: #365
#280 := [unit-resolution #647 #717]: #378
#276 := (not #378)
#281 := (or #276 #592)
#268 := [th-lemma]: #281
#270 := [unit-resolution #268 #280]: #592
#271 := (not #592)
#269 := (or #271 #467)
#272 := [th-lemma]: #269
#724 := [unit-resolution #272 #270]: #467
#502 := (not #467)
#486 := (or #314 #502 #527)
#525 := (>= #596 0::int)
#471 := (not #525)
#507 := (= #596 #526)
#531 := (or #507 #471)
#487 := (or #314 #531)
#494 := (iff #487 #486)
#503 := (or #502 #527)
#489 := (or #314 #503)
#492 := (iff #489 #486)
#493 := [rewrite]: #492
#490 := (iff #487 #489)
#480 := (iff #531 #503)
#512 := (or #527 #502)
#524 := (iff #512 #503)
#479 := [rewrite]: #524
#513 := (iff #531 #512)
#509 := (iff #471 #502)
#498 := (iff #525 #467)
#500 := [rewrite]: #498
#511 := [monotonicity #500]: #509
#532 := (iff #507 #527)
#508 := [rewrite]: #532
#523 := [monotonicity #508 #511]: #513
#485 := [trans #523 #479]: #480
#491 := [monotonicity #485]: #490
#495 := [trans #491 #493]: #494
#488 := [quant-inst]: #487
#496 := [mp #488 #495]: #486
#725 := [unit-resolution #496 #717 #724]: #527
#726 := (not #527)
#727 := (or #726 #481)
#728 := [th-lemma]: #727
#729 := [unit-resolution #728 #725]: #481
#497 := (>= #501 1::int)
#730 := (or #726 #497)
#731 := [th-lemma]: #730
#732 := [unit-resolution #731 #725]: #497
#591 := (<= #668 1::int)
#733 := (or #276 #591)
#734 := [th-lemma]: #733
#735 := [unit-resolution #734 #280]: #591
#737 := [th-lemma #270 #735 #732 #729]: #736
#739 := [symm #737]: #738
#741 := [monotonicity #739]: #740
#745 := [trans #741 #279]: #744
#747 := [trans #745 #743]: #746
#749 := [monotonicity #747 #275]: #748
#753 := [trans #749 #751]: #752
#786 := (= #44 #351)
#354 := (uf_7 #43)
#616 := (+ 1::int #354)
#603 := (uf_6 #616)
#782 := (= #603 #351)
#594 := (= #351 #603)
#608 := (or #607 #594)
#604 := [quant-inst]: #608
#754 := [unit-resolution #604 #703]: #594
#783 := [symm #754]: #782
#784 := (= #44 #603)
#585 := (uf_7 #603)
#384 := (uf_6 #585)
#376 := (= #384 #603)
#369 := (or #368 #376)
#385 := (= #603 #384)
#360 := (or #368 #385)
#371 := (iff #360 #369)
#372 := (iff #369 #369)
#338 := [rewrite]: #372
#386 := (iff #385 #376)
#367 := [rewrite]: #386
#361 := [monotonicity #367]: #371
#340 := [trans #361 #338]: #371
#370 := [quant-inst]: #360
#341 := [mp #370 #340]: #369
#755 := [unit-resolution #341 #710]: #376
#780 := (= #44 #384)
#778 := (= 1::int #585)
#776 := (= #585 1::int)
#569 := (* -1::int #585)
#570 := (+ #354 #569)
#552 := (<= #570 -1::int)
#571 := (= #570 -1::int)
#574 := (>= #354 -1::int)
#587 := (>= #354 0::int)
#331 := (= #354 0::int)
#656 := (or #314 #331)
#353 := (>= 0::int 0::int)
#344 := (not #353)
#358 := (= 0::int #354)
#337 := (or #358 #344)
#318 := (or #314 #337)
#320 := (iff #318 #656)
#658 := (iff #656 #656)
#659 := [rewrite]: #658
#330 := (iff #337 #331)
#680 := (or #331 false)
#334 := (iff #680 #331)
#671 := [rewrite]: #334
#670 := (iff #337 #680)
#679 := (iff #344 false)
#343 := (iff #344 #342)
#462 := (iff #353 true)
#669 := [rewrite]: #462
#676 := [monotonicity #669]: #343
#674 := [trans #676 #678]: #679
#673 := (iff #358 #331)
#675 := [rewrite]: #673
#329 := [monotonicity #675 #674]: #670
#672 := [trans #329 #671]: #330
#321 := [monotonicity #672]: #320
#660 := [trans #321 #659]: #320
#319 := [quant-inst]: #318
#661 := [mp #319 #660]: #656
#756 := [unit-resolution #661 #717]: #331
#757 := (not #331)
#758 := (or #757 #587)
#759 := [th-lemma]: #758
#760 := [unit-resolution #759 #756]: #587
#761 := (not #587)
#762 := (or #761 #574)
#763 := [th-lemma]: #762
#764 := [unit-resolution #763 #760]: #574
#577 := (not #574)
#560 := (or #314 #571 #577)
#580 := (>= #616 0::int)
#582 := (not #580)
#565 := (= #616 #585)
#566 := (or #565 #582)
#561 := (or #314 #566)
#547 := (iff #561 #560)
#556 := (or #571 #577)
#563 := (or #314 #556)
#550 := (iff #563 #560)
#546 := [rewrite]: #550
#558 := (iff #561 #563)
#557 := (iff #566 #556)
#567 := (iff #582 #577)
#575 := (iff #580 #574)
#576 := [rewrite]: #575
#578 := [monotonicity #576]: #567
#572 := (iff #565 #571)
#573 := [rewrite]: #572
#559 := [monotonicity #573 #578]: #557
#564 := [monotonicity #559]: #558
#548 := [trans #564 #546]: #547
#562 := [quant-inst]: #561
#551 := [mp #562 #548]: #560
#765 := [unit-resolution #551 #717 #764]: #571
#766 := (not #571)
#767 := (or #766 #552)
#768 := [th-lemma]: #767
#769 := [unit-resolution #768 #765]: #552
#553 := (>= #570 -1::int)
#770 := (or #766 #553)
#771 := [th-lemma]: #770
#772 := [unit-resolution #771 #765]: #553
#586 := (<= #354 0::int)
#773 := (or #757 #586)
#774 := [th-lemma]: #773
#775 := [unit-resolution #774 #756]: #586
#777 := [th-lemma #760 #775 #772 #769]: #776
#779 := [symm #777]: #778
#781 := [monotonicity #779]: #780
#785 := [trans #781 #755]: #784
#787 := [trans #785 #783]: #786
#790 := [monotonicity #787 #753]: #789
#792 := [symm #790]: #791
#352 := (= #47 #267)
#356 := (or #355 #352)
#357 := [quant-inst]: #356
#788 := [unit-resolution #357 #688]: #352
#793 := [trans #788 #792]: #52
#53 := (not #52)
#177 := [asserted]: #53
[unit-resolution #177 #793]: false
unsat
ca467a37d809de06757809cab1cd30e08586674f 21 0
#2 := false
decl up_1 :: (-> T1 bool)
#4 := (:var 0 T1)
#5 := (up_1 #4)
#6 := (forall (vars (?x1 T1)) #5)
#7 := (not #6)
#8 := (or #6 #7)
#9 := (not #8)
#33 := (iff #9 false)
#1 := true
#28 := (not true)
#31 := (iff #28 false)
#32 := [rewrite]: #31
#29 := (iff #9 #28)
#26 := (iff #8 true)
#27 := [rewrite]: #26
#30 := [monotonicity #27]: #29
#34 := [trans #30 #32]: #33
#25 := [asserted]: #9
[mp #25 #34]: false
unsat
f6e9645ebbb8739d12b8e96bc83ddef33c7d53bc 366 0
#2 := false
decl uf_1 :: (-> int T1)
#37 := 6::int
#38 := (uf_1 6::int)
decl uf_3 :: (-> T1 T1)
decl uf_2 :: (-> T1 int)
#30 := 4::int
#31 := (uf_1 4::int)
#32 := (uf_3 #31)
#33 := (uf_2 #32)
#34 := (* 4::int #33)
#35 := (uf_1 #34)
#36 := (uf_3 #35)
#39 := (= #36 #38)
#476 := (uf_3 #38)
#403 := (= #476 #38)
#531 := (= #38 #476)
#620 := (uf_2 #38)
#142 := -10::int
#513 := (+ -10::int #620)
#472 := (uf_1 #513)
#503 := (uf_3 #472)
#505 := (= #476 #503)
#22 := 10::int
#507 := (>= #620 10::int)
#514 := (ite #507 #505 #531)
#4 := (:var 0 T1)
#21 := (uf_3 #4)
#707 := (pattern #21)
#5 := (uf_2 #4)
#686 := (pattern #5)
#209 := (= #4 #21)
#143 := (+ -10::int #5)
#146 := (uf_1 #143)
#149 := (uf_3 #146)
#208 := (= #21 #149)
#163 := (>= #5 10::int)
#190 := (ite #163 #208 #209)
#708 := (forall (vars (?x4 T1)) (:pat #686 #707) #190)
#193 := (forall (vars (?x4 T1)) #190)
#711 := (iff #193 #708)
#709 := (iff #190 #190)
#710 := [refl]: #709
#712 := [quant-intro #710]: #711
#168 := (ite #163 #149 #4)
#173 := (= #21 #168)
#176 := (forall (vars (?x4 T1)) #173)
#210 := (iff #176 #193)
#191 := (iff #173 #190)
#192 := [rewrite]: #191
#211 := [quant-intro #192]: #210
#188 := (~ #176 #176)
#205 := (~ #173 #173)
#206 := [refl]: #205
#189 := [nnf-pos #206]: #188
#24 := (- #5 10::int)
#25 := (uf_1 #24)
#26 := (uf_3 #25)
#23 := (< #5 10::int)
#27 := (ite #23 #4 #26)
#28 := (= #21 #27)
#29 := (forall (vars (?x4 T1)) #28)
#179 := (iff #29 #176)
#152 := (ite #23 #4 #149)
#155 := (= #21 #152)
#158 := (forall (vars (?x4 T1)) #155)
#177 := (iff #158 #176)
#174 := (iff #155 #173)
#171 := (= #152 #168)
#161 := (not #163)
#165 := (ite #161 #4 #149)
#169 := (= #165 #168)
#170 := [rewrite]: #169
#166 := (= #152 #165)
#162 := (iff #23 #161)
#164 := [rewrite]: #162
#167 := [monotonicity #164]: #166
#172 := [trans #167 #170]: #171
#175 := [monotonicity #172]: #174
#178 := [quant-intro #175]: #177
#159 := (iff #29 #158)
#156 := (iff #28 #155)
#153 := (= #27 #152)
#150 := (= #26 #149)
#147 := (= #25 #146)
#144 := (= #24 #143)
#145 := [rewrite]: #144
#148 := [monotonicity #145]: #147
#151 := [monotonicity #148]: #150
#154 := [monotonicity #151]: #153
#157 := [monotonicity #154]: #156
#160 := [quant-intro #157]: #159
#180 := [trans #160 #178]: #179
#141 := [asserted]: #29
#181 := [mp #141 #180]: #176
#207 := [mp~ #181 #189]: #176
#212 := [mp #207 #211]: #193
#713 := [mp #212 #712]: #708
#336 := (not #708)
#518 := (or #336 #514)
#528 := [quant-inst]: #518
#477 := [unit-resolution #528 #713]: #514
#529 := (not #507)
#498 := (<= #620 6::int)
#610 := (= #620 6::int)
#10 := (:var 0 int)
#12 := (uf_1 #10)
#694 := (pattern #12)
#9 := 0::int
#82 := (>= #10 0::int)
#83 := (not #82)
#13 := (uf_2 #12)
#64 := (= #10 #13)
#89 := (or #64 #83)
#695 := (forall (vars (?x2 int)) (:pat #694) #89)
#94 := (forall (vars (?x2 int)) #89)
#698 := (iff #94 #695)
#696 := (iff #89 #89)
#697 := [refl]: #696
#699 := [quant-intro #697]: #698
#185 := (~ #94 #94)
#199 := (~ #89 #89)
#200 := [refl]: #199
#183 := [nnf-pos #200]: #185
#14 := (= #13 #10)
#11 := (<= 0::int #10)
#15 := (implies #11 #14)
#16 := (forall (vars (?x2 int)) #15)
#97 := (iff #16 #94)
#71 := (not #11)
#72 := (or #71 #64)
#77 := (forall (vars (?x2 int)) #72)
#95 := (iff #77 #94)
#92 := (iff #72 #89)
#86 := (or #83 #64)
#90 := (iff #86 #89)
#91 := [rewrite]: #90
#87 := (iff #72 #86)
#84 := (iff #71 #83)
#80 := (iff #11 #82)
#81 := [rewrite]: #80
#85 := [monotonicity #81]: #84
#88 := [monotonicity #85]: #87
#93 := [trans #88 #91]: #92
#96 := [quant-intro #93]: #95
#78 := (iff #16 #77)
#75 := (iff #15 #72)
#68 := (implies #11 #64)
#73 := (iff #68 #72)
#74 := [rewrite]: #73
#69 := (iff #15 #68)
#66 := (iff #14 #64)
#67 := [rewrite]: #66
#70 := [monotonicity #67]: #69
#76 := [trans #70 #74]: #75
#79 := [quant-intro #76]: #78
#98 := [trans #79 #96]: #97
#63 := [asserted]: #16
#99 := [mp #63 #98]: #94
#201 := [mp~ #99 #183]: #94
#700 := [mp #201 #699]: #695
#673 := (not #695)
#591 := (or #673 #610)
#526 := (>= 6::int 0::int)
#527 := (not #526)
#617 := (= 6::int #620)
#621 := (or #617 #527)
#592 := (or #673 #621)
#595 := (iff #592 #591)
#597 := (iff #591 #591)
#593 := [rewrite]: #597
#600 := (iff #621 #610)
#614 := (or #610 false)
#605 := (iff #614 #610)
#606 := [rewrite]: #605
#603 := (iff #621 #614)
#613 := (iff #527 false)
#1 := true
#663 := (not true)
#666 := (iff #663 false)
#667 := [rewrite]: #666
#611 := (iff #527 #663)
#599 := (iff #526 true)
#601 := [rewrite]: #599
#612 := [monotonicity #601]: #611
#609 := [trans #612 #667]: #613
#608 := (iff #617 #610)
#602 := [rewrite]: #608
#604 := [monotonicity #602 #609]: #603
#607 := [trans #604 #606]: #600
#596 := [monotonicity #607]: #595
#598 := [trans #596 #593]: #595
#594 := [quant-inst]: #592
#584 := [mp #594 #598]: #591
#478 := [unit-resolution #584 #700]: #610
#453 := (not #610)
#454 := (or #453 #498)
#455 := [th-lemma]: #454
#456 := [unit-resolution #455 #478]: #498
#458 := (not #498)
#459 := (or #458 #529)
#460 := [th-lemma]: #459
#302 := [unit-resolution #460 #456]: #529
#508 := (not #514)
#490 := (or #508 #507 #531)
#491 := [def-axiom]: #490
#461 := [unit-resolution #491 #302 #477]: #531
#404 := [symm #461]: #403
#405 := (= #36 #476)
#649 := (uf_2 #35)
#582 := (+ -10::int #649)
#553 := (uf_1 #582)
#556 := (uf_3 #553)
#401 := (= #556 #476)
#417 := (= #553 #38)
#415 := (= #582 6::int)
#335 := (uf_2 #31)
#647 := -1::int
#502 := (* -1::int #335)
#463 := (+ #33 #502)
#464 := (<= #463 0::int)
#486 := (= #33 #335)
#445 := (= #32 #31)
#574 := (= #31 #32)
#575 := (+ -10::int #335)
#576 := (uf_1 #575)
#577 := (uf_3 #576)
#578 := (= #32 #577)
#579 := (>= #335 10::int)
#580 := (ite #579 #578 #574)
#572 := (or #336 #580)
#583 := [quant-inst]: #572
#457 := [unit-resolution #583 #713]: #580
#562 := (not #579)
#554 := (<= #335 4::int)
#324 := (= #335 4::int)
#659 := (or #673 #324)
#678 := (>= 4::int 0::int)
#680 := (not #678)
#677 := (= 4::int #335)
#319 := (or #677 #680)
#660 := (or #673 #319)
#382 := (iff #660 #659)
#384 := (iff #659 #659)
#385 := [rewrite]: #384
#672 := (iff #319 #324)
#305 := (or #324 false)
#310 := (iff #305 #324)
#311 := [rewrite]: #310
#669 := (iff #319 #305)
#662 := (iff #680 false)
#664 := (iff #680 #663)
#325 := (iff #678 true)
#326 := [rewrite]: #325
#665 := [monotonicity #326]: #664
#668 := [trans #665 #667]: #662
#661 := (iff #677 #324)
#323 := [rewrite]: #661
#671 := [monotonicity #323 #668]: #669
#670 := [trans #671 #311]: #672
#383 := [monotonicity #670]: #382
#277 := [trans #383 #385]: #382
#367 := [quant-inst]: #660
#655 := [mp #367 #277]: #659
#462 := [unit-resolution #655 #700]: #324
#441 := (not #324)
#444 := (or #441 #554)
#448 := [th-lemma]: #444
#450 := [unit-resolution #448 #462]: #554
#451 := (not #554)
#449 := (or #451 #562)
#452 := [th-lemma]: #449
#440 := [unit-resolution #452 #450]: #562
#561 := (not #580)
#566 := (or #561 #579 #574)
#567 := [def-axiom]: #566
#443 := [unit-resolution #567 #440 #457]: #574
#446 := [symm #443]: #445
#442 := [monotonicity #446]: #486
#447 := (not #486)
#437 := (or #447 #464)
#427 := [th-lemma]: #437
#429 := [unit-resolution #427 #442]: #464
#471 := (>= #463 0::int)
#430 := (or #447 #471)
#433 := [th-lemma]: #430
#434 := [unit-resolution #433 #442]: #471
#560 := (>= #335 4::int)
#438 := (or #441 #560)
#431 := [th-lemma]: #438
#439 := [unit-resolution #431 #462]: #560
#651 := (* -1::int #649)
#648 := (+ #34 #651)
#625 := (<= #648 0::int)
#652 := (= #648 0::int)
#643 := (>= #33 0::int)
#435 := (not #471)
#432 := (not #560)
#436 := (or #643 #432 #435)
#422 := [th-lemma]: #436
#424 := [unit-resolution #422 #439 #434]: #643
#644 := (not #643)
#489 := (or #644 #652)
#628 := (or #673 #644 #652)
#370 := (>= #34 0::int)
#371 := (not #370)
#650 := (= #34 #649)
#364 := (or #650 #371)
#629 := (or #673 #364)
#469 := (iff #629 #628)
#636 := (or #673 #489)
#466 := (iff #636 #628)
#468 := [rewrite]: #466
#630 := (iff #629 #636)
#633 := (iff #364 #489)
#646 := (or #652 #644)
#631 := (iff #646 #489)
#632 := [rewrite]: #631
#487 := (iff #364 #646)
#645 := (iff #371 #644)
#638 := (iff #370 #643)
#639 := [rewrite]: #638
#640 := [monotonicity #639]: #645
#641 := (iff #650 #652)
#642 := [rewrite]: #641
#488 := [monotonicity #642 #640]: #487
#634 := [trans #488 #632]: #633
#637 := [monotonicity #634]: #630
#622 := [trans #637 #468]: #469
#635 := [quant-inst]: #629
#623 := [mp #635 #622]: #628
#425 := [unit-resolution #623 #700]: #489
#423 := [unit-resolution #425 #424]: #652
#426 := (not #652)
#408 := (or #426 #625)
#410 := [th-lemma]: #408
#411 := [unit-resolution #410 #423]: #625
#626 := (>= #648 0::int)
#412 := (or #426 #626)
#413 := [th-lemma]: #412
#414 := [unit-resolution #413 #423]: #626
#416 := [th-lemma #414 #411 #439 #450 #434 #429]: #415
#418 := [monotonicity #416]: #417
#402 := [monotonicity #418]: #401
#557 := (= #36 #556)
#581 := (= #35 #36)
#558 := (>= #649 10::int)
#559 := (ite #558 #557 #581)
#533 := (or #336 #559)
#534 := [quant-inst]: #533
#419 := [unit-resolution #534 #713]: #559
#420 := (not #625)
#409 := (or #558 #420 #432 #435)
#421 := [th-lemma]: #409
#398 := [unit-resolution #421 #411 #439 #434]: #558
#428 := (not #558)
#535 := (not #559)
#539 := (or #535 #428 #557)
#540 := [def-axiom]: #539
#400 := [unit-resolution #540 #398 #419]: #557
#406 := [trans #400 #402]: #405
#399 := [trans #406 #404]: #39
#40 := (not #39)
#182 := [asserted]: #40
[unit-resolution #182 #399]: false
unsat
b15b527236338a437e355afcde07dd3c6dfc451f 408 0
#2 := false
#22 := 0::int
#8 := 2::int
decl uf_6 :: (-> T3 T4 int)
decl uf_9 :: T4
#50 := uf_9
decl uf_8 :: T3
#49 := uf_8
#51 := (uf_6 uf_8 uf_9)
#624 := (mod #51 2::int)
#172 := -1::int
#640 := (* -1::int #624)
decl uf_7 :: (-> T2 T4 T4)
decl uf_5 :: T2
#13 := uf_5
#54 := (uf_7 uf_5 uf_9)
#55 := (uf_6 uf_8 #54)
#56 := (mod #55 2::int)
#620 := (+ #56 #640)
#608 := (>= #620 0::int)
#566 := (= #620 0::int)
#35 := (:var 0 T4)
#38 := (uf_7 uf_5 #35)
#34 := (:var 1 T3)
#39 := (uf_6 #34 #38)
#811 := (pattern #39)
#40 := (mod #39 2::int)
#173 := (* -1::int #40)
#36 := (uf_6 #34 #35)
#37 := (mod #36 2::int)
#174 := (+ #37 #173)
#175 := (= #174 0::int)
#812 := (forall (vars (?x6 T3) (?x7 T4)) (:pat #811) #175)
#178 := (forall (vars (?x6 T3) (?x7 T4)) #175)
#815 := (iff #178 #812)
#813 := (iff #175 #175)
#814 := [refl]: #813
#816 := [quant-intro #814]: #815
#277 := (~ #178 #178)
#302 := (~ #175 #175)
#303 := [refl]: #302
#278 := [nnf-pos #303]: #277
#41 := (= #37 #40)
#42 := (forall (vars (?x6 T3) (?x7 T4)) #41)
#179 := (iff #42 #178)
#176 := (iff #41 #175)
#177 := [rewrite]: #176
#180 := [quant-intro #177]: #179
#169 := [asserted]: #42
#181 := [mp #169 #180]: #178
#304 := [mp~ #181 #278]: #178
#817 := [mp #304 #816]: #812
#622 := (not #812)
#628 := (or #622 #566)
#756 := (* -1::int #56)
#625 := (+ #624 #756)
#632 := (= #625 0::int)
#596 := (or #622 #632)
#562 := (iff #596 #628)
#595 := (iff #628 #628)
#597 := [rewrite]: #595
#626 := (iff #632 #566)
#633 := (+ #756 #624)
#638 := (= #633 0::int)
#621 := (iff #638 #566)
#602 := [rewrite]: #621
#639 := (iff #632 #638)
#634 := (= #625 #633)
#637 := [rewrite]: #634
#635 := [monotonicity #637]: #639
#627 := [trans #635 #602]: #626
#593 := [monotonicity #627]: #562
#604 := [trans #593 #597]: #562
#603 := [quant-inst]: #596
#606 := [mp #603 #604]: #628
#528 := [unit-resolution #606 #817]: #566
#521 := (not #566)
#464 := (or #521 #608)
#456 := [th-lemma]: #464
#465 := [unit-resolution #456 #528]: #608
decl uf_10 :: int
#52 := uf_10
#57 := (mod uf_10 2::int)
#243 := (* -1::int #57)
#244 := (+ #56 #243)
#447 := (>= #244 0::int)
#387 := (not #447)
#245 := (= #244 0::int)
#248 := (not #245)
#218 := (* -1::int #55)
#219 := (+ uf_10 #218)
#222 := (div #219 2::int)
#251 := (* -1::int #222)
decl uf_2 :: T2
#4 := uf_2
#59 := (uf_7 uf_2 uf_9)
#60 := (uf_6 uf_8 #59)
#252 := (+ #60 #251)
#253 := (= #252 0::int)
#448 := (<= #252 0::int)
#605 := (+ uf_10 #55)
#613 := (mod #605 2::int)
#672 := (>= #613 2::int)
#662 := (not #672)
#1 := true
#81 := [true-axiom]: true
#520 := (or false #662)
#523 := [th-lemma]: #520
#524 := [unit-resolution #523 #81]: #662
#701 := (* -1::int #613)
#204 := -2::int
#691 := (* -2::int #222)
#702 := (+ #691 #701)
#703 := (+ #218 #702)
#699 := (+ uf_10 #703)
#694 := (<= #699 0::int)
#692 := (= #699 0::int)
#545 := (or false #692)
#546 := [th-lemma]: #545
#548 := [unit-resolution #546 #81]: #692
#549 := (not #692)
#497 := (or #549 #694)
#482 := [th-lemma]: #497
#483 := [unit-resolution #482 #548]: #694
#536 := (not #448)
#395 := [hypothesis]: #536
#555 := (* -1::int uf_10)
#573 := (+ #51 #555)
#543 := (<= #573 0::int)
#53 := (= #51 uf_10)
#256 := (not #253)
#259 := (or #248 #256)
#502 := 1::int
#731 := (div uf_10 2::int)
#515 := (* -1::int #731)
#513 := (+ #640 #515)
#618 := (div #51 2::int)
#514 := (* -1::int #618)
#516 := (+ #514 #513)
#498 := (+ #243 #516)
#500 := (+ #56 #498)
#501 := (+ uf_10 #500)
#503 := (>= #501 1::int)
#486 := (not #503)
#361 := (<= #244 0::int)
#453 := (not #259)
#517 := [hypothesis]: #453
#440 := (or #259 #245)
#451 := [def-axiom]: #440
#519 := [unit-resolution #451 #517]: #245
#478 := (or #248 #361)
#470 := [th-lemma]: #478
#479 := [unit-resolution #470 #519]: #361
#449 := (>= #252 0::int)
#452 := (or #259 #253)
#380 := [def-axiom]: #452
#480 := [unit-resolution #380 #517]: #253
#471 := (or #256 #449)
#481 := [th-lemma]: #471
#462 := [unit-resolution #481 #480]: #449
#487 := (not #361)
#485 := (not #449)
#476 := (or #486 #485 #487)
#607 := (<= #620 0::int)
#529 := (or #521 #607)
#522 := [th-lemma]: #529
#525 := [unit-resolution #522 #528]: #607
#723 := (* -2::int #731)
#724 := (+ #243 #723)
#718 := (+ uf_10 #724)
#720 := (<= #718 0::int)
#722 := (= #718 0::int)
#526 := (or false #722)
#512 := [th-lemma]: #526
#504 := [unit-resolution #512 #81]: #722
#505 := (not #722)
#506 := (or #505 #720)
#507 := [th-lemma]: #506
#508 := [unit-resolution #507 #504]: #720
#509 := [hypothesis]: #361
#583 := (* -2::int #618)
#584 := (+ #583 #640)
#585 := (+ #51 #584)
#587 := (<= #585 0::int)
#582 := (= #585 0::int)
#510 := (or false #582)
#499 := [th-lemma]: #510
#511 := [unit-resolution #499 #81]: #582
#488 := (not #582)
#490 := (or #488 #587)
#491 := [th-lemma]: #490
#492 := [unit-resolution #491 #511]: #587
#493 := [hypothesis]: #503
#649 := (* -2::int #60)
#644 := (+ #218 #649)
#650 := (+ #51 #644)
#636 := (>= #650 0::int)
#623 := (= #650 0::int)
#43 := (uf_7 uf_2 #35)
#44 := (uf_6 #34 #43)
#818 := (pattern #44)
#205 := (* -2::int #44)
#203 := (* -1::int #39)
#206 := (+ #203 #205)
#207 := (+ #36 #206)
#208 := (= #207 0::int)
#819 := (forall (vars (?x8 T3) (?x9 T4)) (:pat #811 #818) #208)
#211 := (forall (vars (?x8 T3) (?x9 T4)) #208)
#822 := (iff #211 #819)
#820 := (iff #208 #208)
#821 := [refl]: #820
#823 := [quant-intro #821]: #822
#279 := (~ #211 #211)
#305 := (~ #208 #208)
#306 := [refl]: #305
#280 := [nnf-pos #306]: #279
#45 := (* #44 2::int)
#46 := (+ #45 #39)
#47 := (= #46 #36)
#48 := (forall (vars (?x8 T3) (?x9 T4)) #47)
#214 := (iff #48 #211)
#171 := (* 2::int #44)
#187 := (+ #39 #171)
#195 := (= #36 #187)
#200 := (forall (vars (?x8 T3) (?x9 T4)) #195)
#212 := (iff #200 #211)
#209 := (iff #195 #208)
#210 := [rewrite]: #209
#213 := [quant-intro #210]: #212
#201 := (iff #48 #200)
#198 := (iff #47 #195)
#192 := (= #187 #36)
#196 := (iff #192 #195)
#197 := [rewrite]: #196
#193 := (iff #47 #192)
#190 := (= #46 #187)
#184 := (+ #171 #39)
#188 := (= #184 #187)
#189 := [rewrite]: #188
#185 := (= #46 #184)
#182 := (= #45 #171)
#183 := [rewrite]: #182
#186 := [monotonicity #183]: #185
#191 := [trans #186 #189]: #190
#194 := [monotonicity #191]: #193
#199 := [trans #194 #197]: #198
#202 := [quant-intro #199]: #201
#215 := [trans #202 #213]: #214
#170 := [asserted]: #48
#216 := [mp #170 #215]: #211
#307 := [mp~ #216 #280]: #211
#824 := [mp #307 #823]: #819
#518 := (not #819)
#629 := (or #518 #623)
#630 := [quant-inst]: #629
#531 := [unit-resolution #630 #824]: #623
#534 := (not #623)
#494 := (or #534 #636)
#495 := [th-lemma]: #494
#496 := [unit-resolution #495 #531]: #636
#489 := [hypothesis]: #449
#484 := [th-lemma #483 #489 #496 #493 #492 #509 #508 #525 #524]: false
#477 := [lemma #484]: #476
#463 := [unit-resolution #477 #462 #479]: #486
#727 := (>= #718 0::int)
#466 := (or #505 #727)
#457 := [th-lemma]: #466
#467 := [unit-resolution #457 #504]: #727
#434 := (or #248 #447)
#436 := [th-lemma]: #434
#437 := [unit-resolution #436 #519]: #447
#544 := (>= #573 0::int)
#445 := (not #544)
#428 := (or #256 #448)
#441 := [th-lemma]: #428
#442 := [unit-resolution #441 #480]: #448
#532 := (or #543 #536)
#695 := (>= #699 0::int)
#550 := (or #549 #695)
#393 := [th-lemma]: #550
#551 := [unit-resolution #393 #548]: #695
#547 := (not #543)
#552 := [hypothesis]: #547
#631 := (<= #650 0::int)
#538 := (or #534 #631)
#540 := [th-lemma]: #538
#541 := [unit-resolution #540 #531]: #631
#539 := [hypothesis]: #448
#666 := (>= #613 0::int)
#542 := (or false #666)
#530 := [th-lemma]: #542
#533 := [unit-resolution #530 #81]: #666
#535 := [th-lemma #533 #539 #541 #552 #551]: false
#537 := [lemma #535]: #532
#443 := [unit-resolution #537 #442]: #543
#429 := (or #547 #445)
#764 := (not #53)
#771 := (or #764 #259)
#262 := (iff #53 #259)
#61 := (- uf_10 #55)
#62 := (div #61 2::int)
#63 := (= #60 #62)
#64 := (not #63)
#58 := (= #56 #57)
#65 := (implies #58 #64)
#66 := (iff #53 #65)
#265 := (iff #66 #262)
#225 := (= #60 #222)
#228 := (not #225)
#234 := (not #58)
#235 := (or #234 #228)
#240 := (iff #53 #235)
#263 := (iff #240 #262)
#260 := (iff #235 #259)
#257 := (iff #228 #256)
#254 := (iff #225 #253)
#255 := [rewrite]: #254
#258 := [monotonicity #255]: #257
#249 := (iff #234 #248)
#246 := (iff #58 #245)
#247 := [rewrite]: #246
#250 := [monotonicity #247]: #249
#261 := [monotonicity #250 #258]: #260
#264 := [monotonicity #261]: #263
#241 := (iff #66 #240)
#238 := (iff #65 #235)
#231 := (implies #58 #228)
#236 := (iff #231 #235)
#237 := [rewrite]: #236
#232 := (iff #65 #231)
#229 := (iff #64 #228)
#226 := (iff #63 #225)
#223 := (= #62 #222)
#220 := (= #61 #219)
#221 := [rewrite]: #220
#224 := [monotonicity #221]: #223
#227 := [monotonicity #224]: #226
#230 := [monotonicity #227]: #229
#233 := [monotonicity #230]: #232
#239 := [trans #233 #237]: #238
#242 := [monotonicity #239]: #241
#266 := [trans #242 #264]: #265
#217 := [asserted]: #66
#267 := [mp #217 #266]: #262
#433 := (not #262)
#438 := (or #764 #259 #433)
#439 := [def-axiom]: #438
#772 := [unit-resolution #439 #267]: #771
#444 := [unit-resolution #772 #517]: #764
#435 := (or #53 #547 #445)
#446 := [th-lemma]: #435
#431 := [unit-resolution #446 #444]: #429
#432 := [unit-resolution #431 #443]: #445
#588 := (>= #585 0::int)
#411 := (or #488 #588)
#413 := [th-lemma]: #411
#418 := [unit-resolution #413 #511]: #588
#419 := [th-lemma #418 #432 #437 #467 #465 #463]: false
#420 := [lemma #419]: #259
#427 := (or #53 #453)
#768 := (or #53 #453 #433)
#770 := [def-axiom]: #768
#557 := [unit-resolution #770 #267]: #427
#406 := [unit-resolution #557 #420]: #53
#377 := (or #764 #543)
#381 := [th-lemma]: #377
#382 := [unit-resolution #381 #406]: #543
#385 := [th-lemma #496 #382 #395 #483 #524]: false
#386 := [lemma #385]: #448
#390 := (or #253 #536)
#408 := [hypothesis]: #485
#409 := (or #764 #544)
#397 := [th-lemma]: #409
#399 := [unit-resolution #397 #406]: #544
#400 := [th-lemma #399 #408 #533 #551 #541]: false
#403 := [lemma #400]: #449
#392 := (or #253 #536 #485)
#394 := [th-lemma]: #392
#657 := [unit-resolution #394 #403]: #390
#658 := [unit-resolution #657 #386]: #253
#450 := (or #453 #248 #256)
#454 := [def-axiom]: #450
#762 := [unit-resolution #454 #420]: #259
#664 := [unit-resolution #762 #658]: #248
#372 := (or #245 #387)
#560 := (+ #57 #640)
#610 := (>= #560 0::int)
#742 := (= #57 #624)
#424 := (= #624 #57)
#405 := [monotonicity #406]: #424
#407 := [symm #405]: #742
#705 := (not #742)
#706 := (or #705 #610)
#568 := [th-lemma]: #706
#569 := [unit-resolution #568 #407]: #610
#398 := [hypothesis]: #487
#404 := [th-lemma #525 #398 #569]: false
#378 := [lemma #404]: #361
#379 := (or #245 #487 #387)
#388 := [th-lemma]: #379
#369 := [unit-resolution #388 #378]: #372
#370 := [unit-resolution #369 #664]: #387
#708 := (<= #560 0::int)
#373 := (or #705 #708)
#374 := [th-lemma]: #373
#375 := [unit-resolution #374 #407]: #708
[th-lemma #375 #370 #465]: false
unsat
71b79533f46a8514b2fc189fc382867d50f52a9a 50 0
#2 := false
decl up_35 :: (-> int bool)
#112 := 1::int
#113 := (up_35 1::int)
#114 := (not #113)
#297 := [asserted]: #114
#103 := (:var 0 int)
#104 := (up_35 #103)
#910 := (pattern #104)
#911 := (forall (vars (?x12 int)) (:pat #910) #104)
#294 := (forall (vars (?x12 int)) #104)
#914 := (iff #294 #911)
#912 := (iff #104 #104)
#913 := [refl]: #912
#915 := [quant-intro #913]: #914
#320 := (~ #294 #294)
#361 := (~ #104 #104)
#362 := [refl]: #361
#321 := [nnf-pos #362]: #320
decl up_32 :: (-> T13 bool)
decl uf_36 :: (-> int T13 T13)
decl uf_37 :: T13
#105 := uf_37
#106 := (uf_36 #103 uf_37)
#107 := (up_32 #106)
#108 := (not #107)
#109 := (or #107 #108)
#110 := (and #104 #109)
#111 := (forall (vars (?x12 int)) #110)
#295 := (iff #111 #294)
#292 := (iff #110 #104)
#1 := true
#287 := (and #104 true)
#290 := (iff #287 #104)
#291 := [rewrite]: #290
#288 := (iff #110 #287)
#284 := (iff #109 true)
#286 := [rewrite]: #284
#289 := [monotonicity #286]: #288
#293 := [trans #289 #291]: #292
#296 := [quant-intro #293]: #295
#283 := [asserted]: #111
#299 := [mp #283 #296]: #294
#363 := [mp~ #299 #321]: #294
#916 := [mp #363 #915]: #911
#418 := (not #911)
#503 := (or #418 #113)
#504 := [quant-inst]: #503
[unit-resolution #504 #916 #297]: false
unsat
e40ba7aed8ae5409337a331038da0587c03354d6 506 0
#2 := false
decl uf_17 :: (-> T8 T3)
decl uf_18 :: (-> T1 T8)
decl uf_19 :: T1
#104 := uf_19
#105 := (uf_18 uf_19)
#106 := (uf_17 #105)
decl uf_15 :: (-> T7 T3)
decl uf_16 :: (-> int T7)
#101 := 3::int
#102 := (uf_16 3::int)
#103 := (uf_15 #102)
#107 := (= #103 #106)
decl uf_13 :: (-> T2 T3)
decl uf_2 :: (-> T1 T2 T2)
decl uf_7 :: T2
#29 := uf_7
#513 := (uf_2 uf_19 uf_7)
#644 := (uf_13 #513)
#564 := (= #644 #106)
#858 := (= #106 #644)
#79 := (:var 0 T1)
#82 := (uf_2 #79 uf_7)
#930 := (pattern #82)
#80 := (uf_18 #79)
#929 := (pattern #80)
#83 := (uf_13 #82)
#81 := (uf_17 #80)
#84 := (= #81 #83)
#931 := (forall (vars (?x16 T1)) (:pat #929 #930) #84)
#85 := (forall (vars (?x16 T1)) #84)
#934 := (iff #85 #931)
#932 := (iff #84 #84)
#933 := [refl]: #932
#935 := [quant-intro #933]: #934
#347 := (~ #85 #85)
#384 := (~ #84 #84)
#385 := [refl]: #384
#348 := [nnf-pos #385]: #347
#238 := [asserted]: #85
#386 := [mp~ #238 #348]: #85
#936 := [mp #386 #935]: #931
#861 := (not #931)
#856 := (or #861 #858)
#862 := [quant-inst]: #856
#579 := [unit-resolution #862 #936]: #858
#565 := [symm #579]: #564
#553 := (= #103 #644)
decl uf_1 :: (-> T2 T3)
#834 := (uf_1 #513)
#831 := (= #834 #644)
#835 := (= #644 #834)
#5 := (:var 0 T2)
#66 := (uf_13 #5)
#906 := (pattern #66)
#8 := (uf_1 #5)
#905 := (pattern #8)
#222 := (= #8 #66)
#907 := (forall (vars (?x13 T2)) (:pat #905 #906) #222)
#226 := (forall (vars (?x13 T2)) #222)
#910 := (iff #226 #907)
#908 := (iff #222 #222)
#909 := [refl]: #908
#911 := [quant-intro #909]: #910
#341 := (~ #226 #226)
#375 := (~ #222 #222)
#376 := [refl]: #375
#342 := [nnf-pos #376]: #341
#67 := (= #66 #8)
#68 := (forall (vars (?x13 T2)) #67)
#227 := (iff #68 #226)
#224 := (iff #67 #222)
#225 := [rewrite]: #224
#228 := [quant-intro #225]: #227
#221 := [asserted]: #68
#231 := [mp #221 #228]: #226
#377 := [mp~ #231 #342]: #226
#912 := [mp #377 #911]: #907
#526 := (not #907)
#547 := (or #526 #835)
#548 := (or #526 #831)
#827 := (iff #548 #547)
#824 := (iff #547 #547)
#828 := [rewrite]: #824
#545 := (iff #831 #835)
#546 := [rewrite]: #545
#541 := [monotonicity #546]: #827
#825 := [trans #541 #828]: #827
#826 := [quant-inst]: #548
#829 := [mp #826 #825]: #547
#578 := [unit-resolution #829 #912]: #835
#563 := [symm #578]: #831
#542 := (= #103 #834)
decl uf_3 :: (-> int T3)
decl uf_4 :: (-> T3 int)
#30 := (uf_1 uf_7)
#698 := (uf_4 #30)
#11 := 1::int
#127 := (uf_3 1::int)
#130 := (uf_4 #127)
#701 := (+ #130 #698)
#704 := (uf_3 #701)
#779 := (= #704 #834)
#4 := (:var 1 T1)
#6 := (uf_2 #4 #5)
#863 := (pattern #6)
#9 := (uf_4 #8)
#133 := (+ #9 #130)
#136 := (uf_3 #133)
#7 := (uf_1 #6)
#139 := (= #7 #136)
#864 := (forall (vars (?x1 T1) (?x2 T2)) (:pat #863) #139)
#142 := (forall (vars (?x1 T1) (?x2 T2)) #139)
#867 := (iff #142 #864)
#865 := (iff #139 #139)
#866 := [refl]: #865
#868 := [quant-intro #866]: #867
#361 := (~ #142 #142)
#359 := (~ #139 #139)
#360 := [refl]: #359
#362 := [nnf-pos #360]: #361
#10 := 0::int
#12 := (+ 0::int 1::int)
#13 := (uf_3 #12)
#14 := (uf_4 #13)
#15 := (+ #9 #14)
#16 := (uf_3 #15)
#17 := (= #7 #16)
#18 := (forall (vars (?x1 T1) (?x2 T2)) #17)
#143 := (iff #18 #142)
#140 := (iff #17 #139)
#137 := (= #16 #136)
#134 := (= #15 #133)
#131 := (= #14 #130)
#128 := (= #13 #127)
#125 := (= #12 1::int)
#126 := [rewrite]: #125
#129 := [monotonicity #126]: #128
#132 := [monotonicity #129]: #131
#135 := [monotonicity #132]: #134
#138 := [monotonicity #135]: #137
#141 := [monotonicity #138]: #140
#144 := [quant-intro #141]: #143
#124 := [asserted]: #18
#147 := [mp #124 #144]: #142
#363 := [mp~ #147 #362]: #142
#869 := [mp #363 #868]: #864
#790 := (not #864)
#786 := (or #790 #779)
#699 := (+ #698 #130)
#692 := (uf_3 #699)
#700 := (= #834 #692)
#791 := (or #790 #700)
#781 := (iff #791 #786)
#783 := (iff #786 #786)
#777 := [rewrite]: #783
#788 := (iff #700 #779)
#798 := (= #834 #704)
#776 := (iff #798 #779)
#778 := [rewrite]: #776
#785 := (iff #700 #798)
#797 := (= #692 #704)
#702 := (= #699 #701)
#703 := [rewrite]: #702
#794 := [monotonicity #703]: #797
#787 := [monotonicity #794]: #785
#789 := [trans #787 #778]: #788
#782 := [monotonicity #789]: #781
#784 := [trans #782 #777]: #781
#780 := [quant-inst]: #791
#768 := [mp #780 #784]: #786
#577 := [unit-resolution #768 #869]: #779
#550 := (= #103 #704)
#572 := (= #127 #704)
#582 := (= #704 #127)
#598 := (= #701 1::int)
#774 := (<= #698 0::int)
#773 := (= #698 0::int)
#31 := (uf_3 0::int)
#852 := (uf_4 #31)
#854 := (= #852 0::int)
#72 := (:var 0 int)
#92 := (uf_3 #72)
#945 := (pattern #92)
#266 := (>= #72 0::int)
#267 := (not #266)
#93 := (uf_4 #92)
#248 := (= #72 #93)
#273 := (or #248 #267)
#946 := (forall (vars (?x18 int)) (:pat #945) #273)
#278 := (forall (vars (?x18 int)) #273)
#949 := (iff #278 #946)
#947 := (iff #273 #273)
#948 := [refl]: #947
#950 := [quant-intro #948]: #949
#351 := (~ #278 #278)
#390 := (~ #273 #273)
#391 := [refl]: #390
#352 := [nnf-pos #391]: #351
#94 := (= #93 #72)
#91 := (<= 0::int #72)
#95 := (implies #91 #94)
#96 := (forall (vars (?x18 int)) #95)
#281 := (iff #96 #278)
#255 := (not #91)
#256 := (or #255 #248)
#261 := (forall (vars (?x18 int)) #256)
#279 := (iff #261 #278)
#276 := (iff #256 #273)
#270 := (or #267 #248)
#274 := (iff #270 #273)
#275 := [rewrite]: #274
#271 := (iff #256 #270)
#268 := (iff #255 #267)
#264 := (iff #91 #266)
#265 := [rewrite]: #264
#269 := [monotonicity #265]: #268
#272 := [monotonicity #269]: #271
#277 := [trans #272 #275]: #276
#280 := [quant-intro #277]: #279
#262 := (iff #96 #261)
#259 := (iff #95 #256)
#252 := (implies #91 #248)
#257 := (iff #252 #256)
#258 := [rewrite]: #257
#253 := (iff #95 #252)
#250 := (iff #94 #248)
#251 := [rewrite]: #250
#254 := [monotonicity #251]: #253
#260 := [trans #254 #258]: #259
#263 := [quant-intro #260]: #262
#282 := [trans #263 #280]: #281
#247 := [asserted]: #96
#283 := [mp #247 #282]: #278
#392 := [mp~ #283 #352]: #278
#951 := [mp #392 #950]: #946
#487 := (not #946)
#488 := (or #487 #854)
#859 := (>= 0::int 0::int)
#860 := (not #859)
#511 := (= 0::int #852)
#516 := (or #511 #860)
#849 := (or #487 #516)
#850 := (iff #849 #488)
#837 := (iff #488 #488)
#544 := [rewrite]: #837
#846 := (iff #516 #854)
#843 := (or #854 false)
#845 := (iff #843 #854)
#482 := [rewrite]: #845
#844 := (iff #516 #843)
#841 := (iff #860 false)
#1 := true
#500 := (not true)
#503 := (iff #500 false)
#840 := [rewrite]: #503
#501 := (iff #860 #500)
#496 := (iff #859 true)
#838 := [rewrite]: #496
#502 := [monotonicity #838]: #501
#842 := [trans #502 #840]: #841
#853 := (iff #511 #854)
#512 := [rewrite]: #853
#839 := [monotonicity #512 #842]: #844
#848 := [trans #839 #482]: #846
#836 := [monotonicity #848]: #850
#559 := [trans #836 #544]: #850
#847 := [quant-inst]: #849
#560 := [mp #847 #559]: #488
#622 := [unit-resolution #560 #951]: #854
#589 := (= #698 #852)
#32 := (= #30 #31)
#159 := [asserted]: #32
#590 := [monotonicity #159]: #589
#591 := [trans #590 #622]: #773
#592 := (not #773)
#593 := (or #592 #774)
#594 := [th-lemma]: #593
#595 := [unit-resolution #594 #591]: #774
#770 := (>= #698 0::int)
#596 := (or #592 #770)
#597 := [th-lemma]: #596
#586 := [unit-resolution #597 #591]: #770
#680 := (<= #130 1::int)
#605 := (= #130 1::int)
#708 := (or #487 #605)
#746 := (>= 1::int 0::int)
#732 := (not #746)
#710 := (= 1::int #130)
#711 := (or #710 #732)
#689 := (or #487 #711)
#714 := (iff #689 #708)
#715 := (iff #708 #708)
#683 := [rewrite]: #715
#707 := (iff #711 #605)
#724 := (or #605 false)
#722 := (iff #724 #605)
#727 := [rewrite]: #722
#725 := (iff #711 #724)
#720 := (iff #732 false)
#723 := (iff #732 #500)
#717 := (iff #746 true)
#718 := [rewrite]: #717
#719 := [monotonicity #718]: #723
#721 := [trans #719 #840]: #720
#712 := (iff #710 #605)
#716 := [rewrite]: #712
#726 := [monotonicity #716 #721]: #725
#653 := [trans #726 #727]: #707
#709 := [monotonicity #653]: #714
#690 := [trans #709 #683]: #714
#713 := [quant-inst]: #689
#649 := [mp #713 #690]: #708
#616 := [unit-resolution #649 #951]: #605
#609 := (not #605)
#612 := (or #609 #680)
#613 := [th-lemma]: #612
#599 := [unit-resolution #613 #616]: #680
#682 := (>= #130 1::int)
#601 := (or #609 #682)
#602 := [th-lemma]: #601
#600 := [unit-resolution #602 #616]: #682
#575 := [th-lemma #600 #599 #586 #595]: #598
#583 := [monotonicity #575]: #582
#574 := [symm #583]: #572
#568 := (= #103 #127)
decl uf_5 :: (-> T4 T3)
decl uf_8 :: T4
#33 := uf_8
#34 := (uf_5 uf_8)
#810 := (uf_4 #34)
#812 := (+ #130 #810)
#814 := (uf_3 #812)
#571 := (= #814 #127)
#576 := (= #127 #814)
#587 := (= 1::int #812)
#603 := (= #812 1::int)
#771 := (<= #810 0::int)
#769 := (= #810 0::int)
#619 := (= #810 #852)
#35 := (= #34 #31)
#162 := (= #31 #34)
#163 := (iff #35 #162)
#164 := [rewrite]: #163
#160 := [asserted]: #35
#167 := [mp #160 #164]: #162
#623 := [symm #167]: #35
#624 := [monotonicity #623]: #619
#614 := [trans #624 #622]: #769
#604 := (not #769)
#606 := (or #604 #771)
#607 := [th-lemma]: #606
#610 := [unit-resolution #607 #614]: #771
#772 := (>= #810 0::int)
#611 := (or #604 #772)
#615 := [th-lemma]: #611
#608 := [unit-resolution #615 #614]: #772
#585 := [th-lemma #600 #599 #608 #610]: #603
#588 := [symm #585]: #587
#584 := [monotonicity #588]: #576
#573 := [symm #584]: #571
#567 := (= #103 #814)
decl uf_6 :: (-> int T4 T4)
#539 := (uf_6 3::int uf_8)
#818 := (uf_5 #539)
#646 := (= #818 #814)
#802 := (= #814 #818)
#20 := (:var 0 T4)
#19 := (:var 1 int)
#21 := (uf_6 #19 #20)
#870 := (pattern #21)
#23 := (uf_5 #20)
#24 := (uf_4 #23)
#146 := (+ #24 #130)
#150 := (uf_3 #146)
#22 := (uf_5 #21)
#153 := (= #22 #150)
#871 := (forall (vars (?x3 int) (?x4 T4)) (:pat #870) #153)
#156 := (forall (vars (?x3 int) (?x4 T4)) #153)
#874 := (iff #156 #871)
#872 := (iff #153 #153)
#873 := [refl]: #872
#875 := [quant-intro #873]: #874
#328 := (~ #156 #156)
#364 := (~ #153 #153)
#365 := [refl]: #364
#326 := [nnf-pos #365]: #328
#25 := (+ #24 #14)
#26 := (uf_3 #25)
#27 := (= #22 #26)
#28 := (forall (vars (?x3 int) (?x4 T4)) #27)
#157 := (iff #28 #156)
#154 := (iff #27 #153)
#151 := (= #26 #150)
#148 := (= #25 #146)
#149 := [monotonicity #132]: #148
#152 := [monotonicity #149]: #151
#155 := [monotonicity #152]: #154
#158 := [quant-intro #155]: #157
#145 := [asserted]: #28
#161 := [mp #145 #158]: #156
#366 := [mp~ #161 #326]: #156
#876 := [mp #366 #875]: #871
#687 := (not #871)
#688 := (or #687 #802)
#811 := (+ #810 #130)
#805 := (uf_3 #811)
#806 := (= #818 #805)
#647 := (or #687 #806)
#697 := (iff #647 #688)
#793 := (iff #688 #688)
#796 := [rewrite]: #793
#804 := (iff #806 #802)
#803 := (iff #646 #802)
#801 := [rewrite]: #803
#799 := (iff #806 #646)
#643 := (= #805 #814)
#813 := (= #811 #812)
#807 := [rewrite]: #813
#645 := [monotonicity #807]: #643
#800 := [monotonicity #645]: #799
#686 := [trans #800 #801]: #804
#792 := [monotonicity #686]: #697
#681 := [trans #792 #796]: #697
#795 := [quant-inst]: #647
#696 := [mp #795 #681]: #688
#626 := [unit-resolution #696 #876]: #802
#570 := [symm #626]: #646
#557 := (= #103 #818)
decl uf_14 :: (-> T4 T3)
#536 := (uf_14 #539)
#820 := (= #536 #818)
#69 := (uf_14 #20)
#914 := (pattern #69)
#913 := (pattern #23)
#230 := (= #23 #69)
#915 := (forall (vars (?x14 T4)) (:pat #913 #914) #230)
#234 := (forall (vars (?x14 T4)) #230)
#918 := (iff #234 #915)
#916 := (iff #230 #230)
#917 := [refl]: #916
#919 := [quant-intro #917]: #918
#343 := (~ #234 #234)
#378 := (~ #230 #230)
#379 := [refl]: #378
#344 := [nnf-pos #379]: #343
#70 := (= #69 #23)
#71 := (forall (vars (?x14 T4)) #70)
#235 := (iff #71 #234)
#232 := (iff #70 #230)
#233 := [rewrite]: #232
#236 := [quant-intro #233]: #235
#229 := [asserted]: #71
#239 := [mp #229 #236]: #234
#380 := [mp~ #239 #344]: #234
#920 := [mp #380 #919]: #915
#540 := (not #915)
#821 := (or #540 #820)
#819 := (= #818 #536)
#822 := (or #540 #819)
#823 := (iff #822 #821)
#665 := (iff #821 #821)
#666 := [rewrite]: #665
#815 := (iff #819 #820)
#816 := [rewrite]: #815
#664 := [monotonicity #816]: #823
#808 := [trans #664 #666]: #823
#817 := [quant-inst]: #822
#809 := [mp #817 #808]: #821
#628 := [unit-resolution #809 #920]: #820
#857 := (= #103 #536)
#75 := (uf_6 #72 uf_8)
#922 := (pattern #75)
#73 := (uf_16 #72)
#921 := (pattern #73)
#76 := (uf_14 #75)
#74 := (uf_15 #73)
#77 := (= #74 #76)
#923 := (forall (vars (?x15 int)) (:pat #921 #922) #77)
#78 := (forall (vars (?x15 int)) #77)
#926 := (iff #78 #923)
#924 := (iff #77 #77)
#925 := [refl]: #924
#927 := [quant-intro #925]: #926
#345 := (~ #78 #78)
#381 := (~ #77 #77)
#382 := [refl]: #381
#346 := [nnf-pos #382]: #345
#237 := [asserted]: #78
#383 := [mp~ #237 #346]: #78
#928 := [mp #383 #927]: #923
#851 := (not #923)
#524 := (or #851 #857)
#525 := [quant-inst]: #524
#580 := [unit-resolution #525 #928]: #857
#566 := [trans #580 #628]: #557
#558 := [trans #566 #570]: #567
#549 := [trans #558 #573]: #568
#551 := [trans #549 #574]: #550
#552 := [trans #551 #577]: #542
#543 := [trans #552 #563]: #553
#554 := [trans #543 #565]: #107
#108 := (not #107)
#325 := [asserted]: #108
[unit-resolution #325 #554]: false
unsat