updated SMT certificates

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/SMT/Examples/SMT_Examples.certs	Tue Feb 02 18:12:05 2010 +0100
@@ -0,0 +1,13573 @@
+yknPpoG47N1CXnUaEL9RvQ 133
+#2 := false
+#1 := true
+#4 := (not true)
+#21 := (iff #4 false)
+#22 := [rewrite]: #21
+#20 := [asserted]: #4
+[mp #20 #22]: false
+unsat
+
+ymB2ZiCSl9aUjMXP3tIpZA 359
+#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
+
+XC3j0tGm4Y5klDm8sMkzVg 510
+#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
+
+y5d/Jtt47lXm/wUEvH5fHw 794
+#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
+
+mDaukNkyA4glYbkfEOtcAw 7
+unsat
+
+TmB9YjKjdtDMIh0j9rMVPw 1530
+#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
+
+olufSxMlwMAAqyArYWPVOA 1300
+#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
+
+agKJ550QwZ1mvlK8gw+tjQ 4627
+#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
+
++R/oj2I+uFZAw/Eu+3ULdw 1160
+#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
+
+c67Ar5f1aFkzAZ2wYy62Wg 56943
+#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
+
+NdJwa8pysYWhn57eCXiqFA 1731
+#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
+
+dWWXDEA5bUZjEafLPXbSkA 3321
+#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
+
+iGZ7b2jaCnn82lPL6oIDZA 3465
+WARNING: failed to find a pattern for quantifier (quantifier id: k!11)
+#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
+
+eTjcfu6S5eyz+xNJ7SVluw 1246
+#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
+
+anG1bKU/YVTHEmc1Eh/ZXw 331
+#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
+
+lHpRCTa744ODgmii2zARAw 334
+#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
+
+AinXomcY4W1L/t0ZtkDhBg 524
+#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
+
+WxMdOusjxqQwBPorpXBkFQ 815
+#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
+
+K7g37p4yZoVyQcabYS4I2w 754
+#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
+
+eCmVy21SUmWImXZDJNOfzA 6496
+#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
+
+eBRZKSXriNPK3BNu3AWMmQ 3017
+#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
+
+CjDkjvq1e9i+SJ3L9ESARg 1146
+#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
+
+nonk4MmmwlBqL8YtiJY/Qw 1339
+#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
+
+dCX9jxibjKl6gmr8okzk0w 727
+#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
+
+/kLzs8f/jQjEM38PdppYPA 912
+#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
+
+iT8vKYi503k30rQLczD7yw 1245
+#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
+
+6R4JcV7tL9QRH7WWPAKM5g 5413
+#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
+
+eOXl5Nf4A2Sq4Q+Wh5XNfA 2026
+#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
+
+TwJgkTydtls9Q94iw4a3jw 17377
+#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
+
+ib5n9nvBAC5jXuKIpV/54g 82870
+#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)
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+#1382 := (or #1189 #1200 #516 #429)
+#1332 := [hypothesis]: #1198
+#1336 := [hypothesis]: #1187
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+#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
+
+SqgPFdiZeq8SOFuTISQN5g 1109
+#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
+
+rOkYPs+Q++z/M3OPR/88JQ 1272
+#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
+
+oSBTeiF6GKDeHPsMxXHXtQ 1161
+#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
+
+hqH9yBHvmZgES3pBkvsqVQ 2715
+#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
+
+ar4IlNF9IylWgGSPOf9paw 5159
+#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
+
+o9WM91Nq0O5f08PEA0qA6w 515
+#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
+
+SJxvvXYE4z1G4iLRBCPerg 516
+#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
+
+Fr3hfDrqfMuGDpDYbXAHwg 7
+unsat
+
+bFuFCRUoQSRWyp0iCwo+PA 7
+unsat
+
+NJEgv3p5NO4/yEATNBBDNw 7
+unsat
+
+RC1LWjyqEEsh1xhocCgPmQ 1633
+#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
+
+6pnpFuE9SN6Jr5Upml9T0A 1896
+#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
+
+sHpY0IFBgZUNhP56aRB+/w 1765
+#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
+
+7GSX+dyn9XwHWNcjJ4X1ww 1400
+#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
+
+oieid3+1h5s04LTQ9d796Q 2636
+#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
+
++RiWXCcHPvuSeYUjZ4Ky/g 2113
+#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
+
+hlG1vHDJCcXbyvxKYDWifg 2036
+WARNING: failed to find a pattern for quantifier (quantifier id: k!1)
+#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
+
+oOC8ghGUYboMezGio2exAg 4464
+WARNING: failed to find a pattern for quantifier (quantifier id: k!1)
+#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
+
+4Dtb5Y1TTRPWZcHG9Griog 1594
+#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
+
+dbOre63OdVavsqL3lG2ttw 2516
+#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
+
+LtM5szEGH9QAF1TwsVtH4w 2764
+#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
+
+ibIqbnIUB+oyERADdbFW6w 3631
+#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
+
+1HbJvLWS/aG8IZEVLDIWyA 1506
+#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
+
+K7kWge9RT44bPFRy+hxaqg 7
+unsat
+
++rwKUm5bOzD9paEkmogLyw 1562
+#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
+
+iRJ30NP1Enylq9tZfpCPTA 1288
+#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
+
+Ff1vqDiuUnet19j/x+mXkA 3029
+#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
+
+iPZ87GNdi7uQw4ehEpbTPQ 6383
+#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
+
+kDuOn7kAggfP4Um8ghhv5A 5551
+#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
+
+aiB004AWADNjynNrqCDsxw 9284
+#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
+
+twoPNF2RBLeff4yYfubpfg 7634
+#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
+
+ZcLxnpFewGGQ0H47MfRXGw 11816
+#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
+
+ipe8HUL/t33OoeNl/z0smQ 4011
+#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
+
+eRjXXrQSzpzyc8Ro409d3Q 14366
+#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
+
+uq2MbDTgTG1nxWdwzZtWew 7
+unsat
+
+E5BydeDaPocMMvChMGY+og 7
+unsat
+
+p81EQzqwJrGunGO7GuNt3g 7
+unsat
+
+KpYfvnTcz2WncWNg3dJDCA 7
+unsat
+
+ybGRm230DLO0wH6aROKBBw 7
+unsat
+
+goFtZfJ6kkxA8sqBVpZutw 7
+unsat
+
+0+nmgsMqioeTuwam1ScP7g 7
+unsat
+
+nI63LP/VCL//bjsS1gNB2A 7
+unsat
+
+9+2QHvrRgbKz97Zg0kfybw 7
+unsat
+
+6kquszLXeBUhTwzaw6gd2Q 7
+unsat
+
+j5Z04lpza+N5I1cpno5mtw 7
+unsat
+
+mapbfUM6Ils30x5nEBJmaw 7
+unsat
+
+e8P++0FczY3zhNhEVclACw 7
+unsat
+
+yXMQNOyCylhI+EH8hNYxHA 7
+unsat
+
+GkYN9j7cjrR2KR/lb04/qw 7
+unsat
+
+PajzgNjLWHwVHpjoje+gnA 7
+unsat
+
+URpJYU7D8PO0VRnciRgE5A 7
+unsat
+
+D9ZGhymoV3L6zbWsJlwG2A 7
+unsat
+
+0QLuovrnnANWnCkUY3l10g 7
+unsat
+
+CYprps2G0Au5F3Z7n3KTRg 7
+unsat
+
+iyIMuJd6zijfEao8zKnx2w 7
+unsat
+
+49jzsAwAEfR6NSFBhBEisQ 7
+unsat
+
+T0j6xFgrghxif91jL+2yAw 7
+unsat
+
+md/M3rVve0+8sQ6oqIoL2w 7
+unsat
+
+pY7C8PCf5lVVaim6q7PJcQ 7
+unsat
+
+4zCFLQf4Jrov/gmEvsBm4Q 1036
+#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
+
+czvSLyjMowmFNi82us4N2Q 7
+unsat
+
+aU+7kcyE8oAPbs5RjfuwIw 1160
+#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
+
+dXfueqZAXkudfE6G0VKkwg 2559
+#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
+
+Dc/6bNJffjYYplvoitScJQ 4578
+#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
+
+jdmsd1j41Osn+WzTtqTUSQ 1352
+#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
+
+EA8ecQ7czWL46/C3k7D7tg 2697
+#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
+
+mNfbN3NQCB4ik2xJmLE1UQ 11936
+#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
+
+Jtmz+P173L9nRQkQk52h+Q 420
+#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
+
+YG20f6Uf93koN6rVg/alpA 9362
+#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
+
+/fwo5o8vhLVHyS4oYEs4QA 10833
+#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
+
+s8LL71+1HTN+eIuEYeKhUw 1251
+#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
+
+MZYsU5krlrOK4MkB71Ikeg 12985
+#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
+

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (not (exists (?x1 Int) false)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,24 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (not (exists (?x1 Real) false)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,24 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_03	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (exists (?x1 Int) (< 0 ?x1)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_03.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_04	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (exists (?x1 Real) (< 0.0 ?x1)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_04.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_05	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (forall (?x1 Int) (exists (?x2 Int) (< ?x1 ?x2))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_05.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_06	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (forall (?x1 Int) (?x2 Int) (implies (and (= ?x1 0) (= ?x2 1)) (not (= ?x1 ?x2)))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_06.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,73 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_07	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (exists (?x1 Int) (forall (?x2 Int) (implies (< ?x1 ?x2) (or (< ?x2 0) (<= 0 ?x2))))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_07.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,82 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_08	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (forall (?x1 Int) (?x2 Int) (implies (< ?x1 ?x2) (< (+ (* 2 ?x1) 1) (* 2 ?x2)))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_08.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,128 +0,0 @@
-#2 := false
-#9 := 1::int
-decl ?x1!1 :: int
-#91 := ?x1!1
-#68 := -2::int
-#129 := (* -2::int ?x1!1)
-decl ?x2!0 :: int
-#90 := ?x2!0
-#7 := 2::int
-#128 := (* 2::int ?x2!0)
-#130 := (+ #128 #129)
-#131 := (<= #130 1::int)
-#136 := (not #131)
-#55 := 0::int
-#53 := -1::int
-#115 := (* -1::int ?x1!1)
-#116 := (+ ?x2!0 #115)
-#117 := (<= #116 0::int)
-#139 := (or #117 #136)
-#142 := (not #139)
-#92 := (* -2::int ?x2!0)
-#93 := (* 2::int ?x1!1)
-#94 := (+ #93 #92)
-#95 := (>= #94 -1::int)
-#96 := (not #95)
-#97 := (* -1::int ?x2!0)
-#98 := (+ ?x1!1 #97)
-#99 := (>= #98 0::int)
-#100 := (or #99 #96)
-#101 := (not #100)
-#143 := (iff #101 #142)
-#140 := (iff #100 #139)
-#137 := (iff #96 #136)
-#134 := (iff #95 #131)
-#122 := (+ #92 #93)
-#125 := (>= #122 -1::int)
-#132 := (iff #125 #131)
-#133 := [rewrite]: #132
-#126 := (iff #95 #125)
-#123 := (= #94 #122)
-#124 := [rewrite]: #123
-#127 := [monotonicity #124]: #126
-#135 := [trans #127 #133]: #134
-#138 := [monotonicity #135]: #137
-#120 := (iff #99 #117)
-#109 := (+ #97 ?x1!1)
-#112 := (>= #109 0::int)
-#118 := (iff #112 #117)
-#119 := [rewrite]: #118
-#113 := (iff #99 #112)
-#110 := (= #98 #109)
-#111 := [rewrite]: #110
-#114 := [monotonicity #111]: #113
-#121 := [trans #114 #119]: #120
-#141 := [monotonicity #121 #138]: #140
-#144 := [monotonicity #141]: #143
-#5 := (:var 0 int)
-#71 := (* -2::int #5)
-#4 := (:var 1 int)
-#8 := (* 2::int #4)
-#72 := (+ #8 #71)
-#70 := (>= #72 -1::int)
-#69 := (not #70)
-#57 := (* -1::int #5)
-#58 := (+ #4 #57)
-#56 := (>= #58 0::int)
-#75 := (or #56 #69)
-#78 := (forall (vars (?x1 int) (?x2 int)) #75)
-#81 := (not #78)
-#102 := (~ #81 #101)
-#103 := [sk]: #102
-#11 := (* 2::int #5)
-#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)
-#84 := (iff #15 #81)
-#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)
-#82 := (iff #50 #81)
-#79 := (iff #47 #78)
-#76 := (iff #42 #75)
-#73 := (iff #35 #69)
-#74 := [rewrite]: #73
-#66 := (iff #41 #56)
-#54 := (not #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
-#77 := [monotonicity #67 #74]: #76
-#80 := [quant-intro #77]: #79
-#83 := [monotonicity #80]: #82
-#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
-#85 := [trans #52 #83]: #84
-#31 := [asserted]: #15
-#86 := [mp #31 #85]: #81
-#106 := [mp~ #86 #103]: #101
-#107 := [mp #106 #144]: #142
-#146 := [not-or-elim #107]: #131
-#108 := (not #117)
-#145 := [not-or-elim #107]: #108
-[th-lemma #145 #146]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_09	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (forall (?x1 Int) (?x2 Int) (not (= (+ (* 2 ?x1) 1) (* 2 ?x2)))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_09.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,100 +0,0 @@
-#2 := false
-#7 := 1::int
-decl ?x1!1 :: int
-#74 := ?x1!1
-#51 := -2::int
-#96 := (* -2::int ?x1!1)
-decl ?x2!0 :: int
-#73 := ?x2!0
-#4 := 2::int
-#95 := (* 2::int ?x2!0)
-#97 := (+ #95 #96)
-#166 := (<= #97 1::int)
-#94 := (= #97 1::int)
-#53 := -1::int
-#75 := (* -2::int ?x2!0)
-#76 := (* 2::int ?x1!1)
-#77 := (+ #76 #75)
-#78 := (= #77 -1::int)
-#79 := (not #78)
-#80 := (not #79)
-#110 := (iff #80 #94)
-#102 := (not #94)
-#105 := (not #102)
-#108 := (iff #105 #94)
-#109 := [rewrite]: #108
-#106 := (iff #80 #105)
-#103 := (iff #79 #102)
-#100 := (iff #78 #94)
-#88 := (+ #75 #76)
-#91 := (= #88 -1::int)
-#98 := (iff #91 #94)
-#99 := [rewrite]: #98
-#92 := (iff #78 #91)
-#89 := (= #77 #88)
-#90 := [rewrite]: #89
-#93 := [monotonicity #90]: #92
-#101 := [trans #93 #99]: #100
-#104 := [monotonicity #101]: #103
-#107 := [monotonicity #104]: #106
-#111 := [trans #107 #109]: #110
-#9 := (:var 0 int)
-#55 := (* -2::int #9)
-#5 := (:var 1 int)
-#6 := (* 2::int #5)
-#56 := (+ #6 #55)
-#54 := (= #56 -1::int)
-#58 := (not #54)
-#61 := (forall (vars (?x1 int) (?x2 int)) #58)
-#64 := (not #61)
-#81 := (~ #64 #80)
-#82 := [sk]: #81
-#10 := (* 2::int #9)
-#8 := (+ #6 1::int)
-#11 := (= #8 #10)
-#12 := (not #11)
-#13 := (forall (vars (?x1 int) (?x2 int)) #12)
-#14 := (not #13)
-#67 := (iff #14 #64)
-#31 := (+ 1::int #6)
-#37 := (= #10 #31)
-#42 := (not #37)
-#45 := (forall (vars (?x1 int) (?x2 int)) #42)
-#48 := (not #45)
-#65 := (iff #48 #64)
-#62 := (iff #45 #61)
-#59 := (iff #42 #58)
-#52 := (iff #37 #54)
-#57 := [rewrite]: #52
-#60 := [monotonicity #57]: #59
-#63 := [quant-intro #60]: #62
-#66 := [monotonicity #63]: #65
-#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
-#68 := [trans #50 #66]: #67
-#30 := [asserted]: #14
-#69 := [mp #30 #68]: #64
-#85 := [mp~ #69 #82]: #80
-#86 := [mp #85 #111]: #94
-#168 := (or #102 #166)
-#169 := [th-lemma]: #168
-#170 := [unit-resolution #169 #86]: #166
-#167 := (>= #97 1::int)
-#171 := (or #102 #167)
-#172 := [th-lemma]: #171
-#173 := [unit-resolution #172 #86]: #167
-[th-lemma #173 #170]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_10	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (forall (?x1 Int) (?x2 Int) (or (< 2 (+ ?x1 ?x2)) (or (= (+ ?x1 ?x2) 2) (< (+ ?x1 ?x2) 2)))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_10.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,111 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_11	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (forall (?x1 Int) (if_then_else (< 0 ?x1) (< 0 (+ ?x1 1)) (< ?x1 1))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_11.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,89 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_12	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (if_then_else (forall (?x1 Int) (or (< ?x1 0) (< 0 ?x1))) false true))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_12.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,83 +0,0 @@
-#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)
-#524 := (not #49)
-#118 := (<= 0::int 0::int)
-#205 := (not #118)
-#119 := (>= 0::int 0::int)
-#206 := (not #119)
-#120 := (or #206 #205)
-#183 := (or #524 #120)
-#172 := (iff #183 #524)
-#525 := (or #524 false)
-#168 := (iff #525 #524)
-#510 := [rewrite]: #168
-#184 := (iff #183 #525)
-#528 := (iff #120 false)
-#197 := (or false false)
-#532 := (iff #197 false)
-#533 := [rewrite]: #532
-#530 := (iff #120 #197)
-#523 := (iff #205 false)
-#1 := true
-#209 := (not true)
-#211 := (iff #209 false)
-#208 := [rewrite]: #211
-#185 := (iff #205 #209)
-#527 := (iff #118 true)
-#529 := [rewrite]: #527
-#316 := [monotonicity #529]: #185
-#196 := [trans #316 #208]: #523
-#212 := (iff #206 false)
-#210 := (iff #206 #209)
-#207 := (iff #119 true)
-#198 := [rewrite]: #207
-#138 := [monotonicity #198]: #210
-#191 := [trans #138 #208]: #212
-#531 := [monotonicity #191 #196]: #530
-#534 := [trans #531 #533]: #528
-#526 := [monotonicity #534]: #184
-#173 := [trans #526 #510]: #172
-#188 := [quant-inst]: #183
-#174 := [mp #188 #173]: #524
-#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

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_13	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (< 0 (ite (forall (?x1 Int) (or (< ?x1 0) (< 0 ?x1))) (~ 1) 3)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_13.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,180 +0,0 @@
-#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)
-#604 := (<= 0::int 0::int)
-#264 := (not #604)
-#269 := (>= 0::int 0::int)
-#605 := (not #269)
-#265 := (or #605 #264)
-#588 := (or #86 #265)
-#584 := (iff #588 #86)
-#311 := (or #86 false)
-#314 := (iff #311 #86)
-#208 := [rewrite]: #314
-#312 := (iff #588 #311)
-#599 := (iff #265 false)
-#598 := (or false false)
-#241 := (iff #598 false)
-#601 := [rewrite]: #241
-#600 := (iff #265 #598)
-#597 := (iff #264 false)
-#1 := true
-#590 := (not true)
-#255 := (iff #590 false)
-#256 := [rewrite]: #255
-#596 := (iff #264 #590)
-#594 := (iff #604 true)
-#595 := [rewrite]: #594
-#591 := [monotonicity #595]: #596
-#235 := [trans #591 #256]: #597
-#592 := (iff #605 false)
-#253 := (iff #605 #590)
-#606 := (iff #269 true)
-#249 := [rewrite]: #606
-#254 := [monotonicity #249]: #253
-#593 := [trans #254 #256]: #592
-#240 := [monotonicity #593 #235]: #600
-#602 := [trans #240 #601]: #599
-#313 := [monotonicity #602]: #312
-#585 := [trans #313 #208]: #584
-#589 := [quant-inst]: #588
-#307 := [mp #589 #585]: #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)
-#607 := (>= #92 3::int)
-#609 := (not #607)
-#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
-#266 := (not #95)
-#396 := (or #609 #266)
-#603 := [th-lemma]: #396
-#277 := [unit-resolution #603 #126]: #609
-#278 := [hypothesis]: #290
-#611 := (or #610 #607)
-#612 := [th-lemma]: #611
-#613 := [unit-resolution #612 #278 #277]: false
-#608 := [lemma #613]: #610
-#289 := (or z3name!0 #290)
-#293 := [def-axiom]: #289
-#308 := [unit-resolution #293 #608]: 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
-#582 := [unit-resolution #128 #308]: #55
-[unit-resolution #582 #307]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_14	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (not (exists (?x1 Int) (?x2 Int) (?x3 Int) (= (+ (* 4 ?x1) (* (~ 6) ?x2)) 1))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_14.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,103 +0,0 @@
-#2 := false
-#104 := -1::int
-decl ?x1!1 :: int
-#86 := ?x1!1
-#106 := -4::int
-#107 := (* -4::int ?x1!1)
-decl ?x2!0 :: int
-#85 := ?x2!0
-#7 := 6::int
-#105 := (* 6::int ?x2!0)
-#108 := (+ #105 #107)
-#168 := (<= #108 -1::int)
-#109 := (= #108 -1::int)
-#12 := 1::int
-#33 := -6::int
-#87 := (* -6::int ?x2!0)
-#4 := 4::int
-#88 := (* 4::int ?x1!1)
-#89 := (+ #88 #87)
-#90 := (= #89 1::int)
-#112 := (iff #90 #109)
-#98 := (+ #87 #88)
-#101 := (= #98 1::int)
-#110 := (iff #101 #109)
-#111 := [rewrite]: #110
-#102 := (iff #90 #101)
-#99 := (= #89 #98)
-#100 := [rewrite]: #99
-#103 := [monotonicity #100]: #102
-#113 := [trans #103 #111]: #112
-#53 := (:var 0 int)
-#54 := (* -6::int #53)
-#9 := (:var 1 int)
-#55 := (* 4::int #9)
-#56 := (+ #55 #54)
-#76 := (= #56 1::int)
-#74 := (exists (vars (?x1 int) (?x2 int)) #76)
-#91 := (~ #74 #90)
-#92 := [sk]: #91
-#8 := (- 6::int)
-#10 := (* #8 #9)
-#5 := (:var 2 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)
-#79 := (iff #16 #74)
-#57 := (= 1::int #56)
-#58 := (exists (vars (?x1 int) (?x2 int)) #57)
-#77 := (iff #58 #74)
-#75 := (iff #57 #76)
-#73 := [rewrite]: #75
-#78 := [quant-intro #73]: #77
-#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
-#80 := [trans #72 #78]: #79
-#32 := [asserted]: #16
-#81 := [mp #32 #80]: #74
-#95 := [mp~ #81 #92]: #90
-#96 := [mp #95 #113]: #109
-#170 := (not #109)
-#171 := (or #170 #168)
-#172 := [th-lemma]: #171
-#173 := [unit-resolution #172 #96]: #168
-#169 := (>= #108 -1::int)
-#174 := (or #170 #169)
-#175 := [th-lemma]: #174
-#176 := [unit-resolution #175 #96]: #169
-[th-lemma #176 #173]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_15	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (exists (?x1 Int) (forall (?x2 Int) (?x3 Int) (implies (and (< 0 ?x2) (< 0 ?x3)) (< 0 (+ ?x2 ?x3))))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_15.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,107 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_16	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (exists (?x1 Int) (forall (?x2 Int) (?x3 Real) (implies (and (< 0 ?x2) (< 0.0 ?x3)) (< (~ 1) ?x2)))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_16.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,117 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_17	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (exists (?x1 Int) (implies (forall (?x2 Int) (implies (<= ?x1 ?x2) (< 0 ?x2))) (< 0 ?x1))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_17.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,148 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_18	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,7 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Int)
- )
-:assumption (not (forall (?x1 Int) (implies (< ?x1 uf_1) (< (* 2 ?x1) (* 2 uf_1))) :pat { ?x1 }))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_arith_quant_18.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,112 +0,0 @@
-#2 := false
-#43 := 0::int
-decl ?x1!0 :: int
-#78 := ?x1!0
-#56 := -2::int
-#113 := (* -2::int ?x1!0)
-decl uf_1 :: int
-#6 := uf_1
-#8 := 2::int
-#10 := (* 2::int uf_1)
-#114 := (+ #10 #113)
-#115 := (<= #114 0::int)
-#120 := (not #115)
-#41 := -1::int
-#100 := (* -1::int ?x1!0)
-#101 := (+ uf_1 #100)
-#102 := (<= #101 0::int)
-#123 := (or #102 #120)
-#126 := (not #123)
-#59 := (* -2::int uf_1)
-#79 := (* 2::int ?x1!0)
-#80 := (+ #79 #59)
-#81 := (>= #80 0::int)
-#82 := (not #81)
-#45 := (* -1::int uf_1)
-#83 := (+ ?x1!0 #45)
-#84 := (>= #83 0::int)
-#85 := (or #84 #82)
-#86 := (not #85)
-#127 := (iff #86 #126)
-#124 := (iff #85 #123)
-#121 := (iff #82 #120)
-#118 := (iff #81 #115)
-#107 := (+ #59 #79)
-#110 := (>= #107 0::int)
-#116 := (iff #110 #115)
-#117 := [rewrite]: #116
-#111 := (iff #81 #110)
-#108 := (= #80 #107)
-#109 := [rewrite]: #108
-#112 := [monotonicity #109]: #111
-#119 := [trans #112 #117]: #118
-#122 := [monotonicity #119]: #121
-#105 := (iff #84 #102)
-#94 := (+ #45 ?x1!0)
-#97 := (>= #94 0::int)
-#103 := (iff #97 #102)
-#104 := [rewrite]: #103
-#98 := (iff #84 #97)
-#95 := (= #83 #94)
-#96 := [rewrite]: #95
-#99 := [monotonicity #96]: #98
-#106 := [trans #99 #104]: #105
-#125 := [monotonicity #106 #122]: #124
-#128 := [monotonicity #125]: #127
-#4 := (:var 0 int)
-#5 := (pattern #4)
-#9 := (* 2::int #4)
-#60 := (+ #9 #59)
-#58 := (>= #60 0::int)
-#57 := (not #58)
-#46 := (+ #4 #45)
-#44 := (>= #46 0::int)
-#63 := (or #44 #57)
-#66 := (forall (vars (?x1 int)) (:pat #5) #63)
-#69 := (not #66)
-#87 := (~ #69 #86)
-#88 := [sk]: #87
-#11 := (< #9 #10)
-#7 := (< #4 uf_1)
-#12 := (implies #7 #11)
-#13 := (forall (vars (?x1 int)) (:pat #5) #12)
-#14 := (not #13)
-#72 := (iff #14 #69)
-#31 := (not #7)
-#32 := (or #31 #11)
-#35 := (forall (vars (?x1 int)) (:pat #5) #32)
-#38 := (not #35)
-#70 := (iff #38 #69)
-#67 := (iff #35 #66)
-#64 := (iff #32 #63)
-#61 := (iff #11 #57)
-#62 := [rewrite]: #61
-#54 := (iff #31 #44)
-#42 := (not #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
-#65 := [monotonicity #55 #62]: #64
-#68 := [quant-intro #65]: #67
-#71 := [monotonicity #68]: #70
-#39 := (iff #14 #38)
-#36 := (iff #13 #35)
-#33 := (iff #12 #32)
-#34 := [rewrite]: #33
-#37 := [quant-intro #34]: #36
-#40 := [monotonicity #37]: #39
-#73 := [trans #40 #71]: #72
-#30 := [asserted]: #14
-#74 := [mp #30 #73]: #69
-#91 := [mp~ #74 #88]: #86
-#92 := [mp #91 #128]: #126
-#130 := [not-or-elim #92]: #115
-#93 := (not #102)
-#129 := [not-or-elim #92]: #93
-[th-lemma #129 #130]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,12 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 BitVec[2] Int)
- )
-:assumption (= (uf_1 bv0[2]) 0)
-:assumption (= (uf_1 bv1[2]) 1)
-:assumption (= (uf_1 bv2[2]) 2)
-:assumption (= (uf_1 bv3[2]) 3)
-:assumption (forall (?x1 BitVec[2]) (< 0 (uf_1 ?x1)))
-:assumption (not (forall (?x2 Int) (implies (< ?x2 0) (forall (?x3 BitVec[2]) (< ?x2 (uf_1 ?x3))))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,43 +0,0 @@
-#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)
-#311 := (not #225)
-#20 := (:var 0 bv[2])
-#21 := (uf_1 #20)
-#640 := (pattern #21)
-#54 := (<= #21 0::int)
-#55 := (not #54)
-#641 := (forall (vars (?x1 bv[2])) (:pat #640) #55)
-#58 := (forall (vars (?x1 bv[2])) #55)
-#644 := (iff #58 #641)
-#642 := (iff #55 #55)
-#643 := [refl]: #642
-#645 := [quant-intro #643]: #644
-#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
-#646 := [mp #111 #645]: #641
-#227 := (not #641)
-#313 := (or #227 #311)
-#304 := [quant-inst]: #313
-#635 := [unit-resolution #304 #646]: #311
-#7 := (= #5 0::int)
-#47 := [asserted]: #7
-#638 := (not #7)
-#633 := (or #638 #225)
-#639 := [th-lemma]: #633
-[unit-resolution #639 #47 #635]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,12 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T1)
-:extrafuns (
-  (uf_4 T1)
-  (uf_2 BitVec[4] BitVec[4] T1)
-  (uf_1 T1 T2)
-  (uf_3 BitVec[4])
- )
-:assumption (not (= (uf_1 (uf_2 bv0[4] uf_3)) (uf_1 uf_4)))
-:assumption (forall (?x1 BitVec[4]) (?x2 BitVec[4]) (iff (= (uf_2 ?x1 ?x2) uf_4) (bvule ?x1 ?x2)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= bv27[4] (bvneg bv5[4])))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= bv27[4] bv11[4]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_03	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (bvult bv23[8] bv27[8]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_03.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_04	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvadd bv27[5] bv11[5]) bv6[5]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_04.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_05	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvmul bv7[8] bv3[8]) bv21[8]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_05.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_06	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvsub bv11[8] bv27[8]) (bvneg bv16[8])))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_06.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_07	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvneg (bvneg bv11[5])) bv11[5]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_07.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_08	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvadd (bvneg bv40[7]) bv1[7]) (bvneg bv39[7])))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_08.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_09	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,9 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 BitVec[32])
-  (uf_2 BitVec[32])
-  (uf_3 BitVec[32])
- )
-:assumption (not (= (bvsub (bvadd (bvadd uf_1 (bvmul bv2[32] uf_2)) uf_3) uf_2) (bvadd (bvadd uf_2 uf_3) uf_1)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_09.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_10	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 BitVec[4])
- )
-:assumption (= uf_1 bv5[4])
-:assumption (not (= (bvmul bv4[4] uf_1) bv4[4]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_arith_10.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvand bv6[32] bv5[32]) bv4[32]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvor bv6[8] bv3[8]) bv7[8]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_03	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvxor bv240[8] bv255[8]) bv15[8]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_03.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_04	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvnot bv240[16]) bv65295[16]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_04.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_05	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (concat bv27[4] bv27[8]) bv2843[12]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_05.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_06	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (concat bv3[4] bv15[6]) bv207[10]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_06.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_07	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,12 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_2 T1 Int)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (not (= (extract[2:1] bv22[4]) bv3[2]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_07.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_08	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (zero_extend[6] bv10[4]) bv10[10]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_08.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_09	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (sign_extend[2] bv10[4]) bv58[6]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_09.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_10	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvlshr bv19[8] bv2[8]) bv4[8]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_10.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_11	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (bvashr bv19[8] bv2[8]) bv4[8]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_11.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_12	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,12 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_2 T1 Int)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (not (= (rotate_right[2] bv6[4]) bv9[4]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_12.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_13	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,12 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_2 T1 Int)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (not (= (rotate_left[1] bv14[4]) bv13[4]))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_13.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_14	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,7 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 BitVec[16])
- )
-:assumption (not (= (bvor (bvand uf_1 bv65280[16]) (bvand uf_1 bv255[16])) uf_1))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_14.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_15	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 BitVec[16])
- )
-:assumption (bvult uf_1 bv256[16])
-:assumption (not (= (bvand uf_1 bv255[16]) uf_1))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_bv_bit_15.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_fol_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrapreds (
-  (up_1 Int)
- )
-:assumption (not (forall (?x1 Int) (implies (up_1 ?x1) (forall (?x2 Int) (or (up_1 ?x1) (up_1 ?x2))))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_fol_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,78 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_fol_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,14 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T1)
-:extrafuns (
-  (uf_2 T1)
-  (uf_4 T2)
-  (uf_3 T1)
- )
-:extrapreds (
-  (up_1 T1 T2)
- )
-:assumption (forall (?x1 T1) (?x2 T2) (iff (up_1 ?x1 ?x2) (= ?x1 uf_2)))
-:assumption (not (iff (exists (?x3 T2) (up_1 uf_3 ?x3)) (up_1 uf_3 uf_4)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_fol_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,135 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_fol_03	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,15 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T1)
-:extrafuns (
-  (uf_2 T1)
-  (uf_3 T2)
-  (uf_4 T1)
- )
-:extrapreds (
-  (up_1 T1 T2)
- )
-:assumption (forall (?x1 T1) (?x2 T2) (iff (up_1 ?x1 ?x2) (= ?x1 uf_2)))
-:assumption (iff (forall (?x3 T1) (exists (?x4 T2) (up_1 ?x3 ?x4))) (forall (?x5 T1) (up_1 ?x5 uf_3)))
-:assumption (not (iff (exists (?x6 T2) (up_1 uf_4 ?x6)) (up_1 uf_4 uf_3)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_fol_03.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,135 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_fol_04	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,13 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1 T2)
-:extrafuns (
-  (uf_2 T1)
-  (uf_3 T1)
- )
-:extrapreds (
-  (up_1 T1)
- )
-:assumption (if_then_else (up_1 uf_2) (not (exists (?x1 T1) (up_1 ?x1))) (forall (?x2 T1) (not (up_1 ?x2))))
-:assumption (not (implies (up_1 uf_2) (up_1 uf_3)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_fol_04.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,56 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_hol_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,18 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T3 T1)
-:extrafuns (
-  (uf_2 T1 T2 T3 T1)
-  (uf_1 T1 T2 T3)
-  (uf_6 T1)
-  (uf_3 T2)
-  (uf_4 T2)
-  (uf_5 T2)
-  (uf_7 T3)
-  (uf_8 T3)
- )
-:assumption (forall (?x1 T1) (?x2 T2) (?x3 T3) (?x4 T2) (= (uf_1 (uf_2 ?x1 ?x2 ?x3) ?x4) (ite (= ?x4 ?x2) ?x3 (uf_1 ?x1 ?x4))))
-:assumption (forall (?x5 T1) (?x6 T2) (?x7 T3) (= (uf_1 (uf_2 ?x5 ?x6 ?x7) ?x6) ?x7))
-:assumption (and (not (= uf_3 uf_4)) (not (= uf_3 uf_5)))
-:assumption (not (= (uf_1 (uf_2 (uf_2 uf_6 uf_4 uf_7) uf_5 uf_8) uf_3) (uf_1 uf_6 uf_3)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_hol_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,181 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_hol_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,13 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T1 T3)
-:extrafuns (
-  (uf_2 T1)
-  (uf_3 T2)
- )
-:extrapreds (
-  (up_4 T1 T2)
-  (up_1 T1 T2)
- )
-:assumption (not (or (iff (up_1 uf_2 uf_3) (and (up_4 uf_2 uf_3) true)) (or (iff (up_1 uf_2 uf_3) true) (iff (up_4 uf_2 uf_3) true))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_hol_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,62 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_hol_03	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,15 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1 T2)
-:extrafuns (
-  (uf_3 T2)
-  (uf_1 T1 T1)
-  (uf_4 T1)
- )
-:extrapreds (
-  (up_2 T2)
- )
-:assumption (forall (?x1 T1) (= (uf_1 ?x1) ?x1))
-:assumption (forall (?x2 T2) (iff (up_2 ?x2) (= ?x2 uf_3)))
-:assumption (not (and (= (uf_1 uf_4) uf_4) (iff (up_2 uf_3) true)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_hol_03.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,115 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_hol_04	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,18 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T3 T1)
-:extrafuns (
-  (uf_2 T1 T2 T3 T1)
-  (uf_1 T1 T2 T3)
-  (uf_6 T1)
-  (uf_3 T2)
-  (uf_4 T2)
-  (uf_5 T2)
-  (uf_7 T3)
-  (uf_8 T3)
- )
-:assumption (forall (?x1 T1) (?x2 T2) (?x3 T3) (?x4 T2) (= (uf_1 (uf_2 ?x1 ?x2 ?x3) ?x4) (ite (= ?x4 ?x2) ?x3 (uf_1 ?x1 ?x4))))
-:assumption (forall (?x5 T1) (?x6 T2) (?x7 T3) (= (uf_1 (uf_2 ?x5 ?x6 ?x7) ?x6) ?x7))
-:assumption (and (not (= uf_3 uf_4)) (not (= uf_3 uf_5)))
-:assumption (not (= (uf_1 (uf_2 (uf_2 uf_6 uf_4 uf_7) uf_5 uf_8) uf_3) (uf_1 uf_6 uf_3)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_hol_04.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,181 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_hol_05	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,20 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1 T2 T3)
-:extrafuns (
-  (uf_6 Int T2)
-  (uf_1 T1 T3 T3)
-  (uf_4 T3)
-  (uf_2 T2 T3 T3)
-  (uf_3 T1 T2 T2)
-  (uf_7 T2 Int)
-  (uf_5 T1)
- )
-:assumption (forall (?x1 T1) (?x2 T2) (?x3 T3) (= (uf_1 ?x1 (uf_2 ?x2 ?x3)) (uf_2 (uf_3 ?x1 ?x2) (uf_1 ?x1 ?x3))))
-:assumption (forall (?x4 T1) (= (uf_1 ?x4 uf_4) uf_4))
-:assumption (forall (?x5 T2) (= (uf_3 uf_5 ?x5) (uf_6 (+ (uf_7 ?x5) 1))))
-:assumption (forall (?x6 T2) (= (uf_6 (uf_7 ?x6)) ?x6))
-:assumption (forall (?x7 Int) (implies (<= 0 ?x7) (= (uf_7 (uf_6 ?x7)) ?x7)))
-:assumption (forall (?x8 Int) (implies (< ?x8 0) (= (uf_7 (uf_6 ?x8)) 0)))
-:assumption (not (= (uf_1 uf_5 (uf_2 (uf_6 0) (uf_2 (uf_6 1) uf_4))) (uf_2 (uf_6 1) (uf_2 (uf_6 2) uf_4))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_hol_05.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,464 +0,0 @@
-#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)
-#352 := (uf_3 uf_5 #43)
-#267 := (uf_2 #352 #266)
-#797 := (= #267 #51)
-#795 := (= #51 #267)
-#758 := (= #50 #266)
-#521 := (uf_1 uf_5 uf_4)
-#522 := (uf_3 uf_5 #44)
-#523 := (uf_2 #522 #521)
-#756 := (= #523 #266)
-#616 := (= #266 #523)
-#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)
-#683 := (pattern #11)
-#7 := (uf_2 #5 #6)
-#8 := (uf_1 #4 #7)
-#682 := (pattern #8)
-#12 := (= #8 #11)
-#684 := (forall (vars (?x1 T1) (?x2 T2) (?x3 T3)) (:pat #682 #683) #12)
-#13 := (forall (vars (?x1 T1) (?x2 T2) (?x3 T3)) #12)
-#687 := (iff #13 #684)
-#685 := (iff #12 #12)
-#686 := [refl]: #685
-#688 := [quant-intro #686]: #687
-#195 := (~ #13 #13)
-#193 := (~ #12 #12)
-#194 := [refl]: #193
-#196 := [nnf-pos #194]: #195
-#69 := [asserted]: #13
-#197 := [mp~ #69 #196]: #13
-#689 := [mp #197 #688]: #684
-#345 := (not #684)
-#604 := (or #345 #616)
-#606 := [quant-inst]: #604
-#277 := [unit-resolution #606 #689]: #616
-#757 := [symm #277]: #756
-#754 := (= #50 #523)
-#569 := (= uf_4 #521)
-#14 := (:var 0 T1)
-#16 := (uf_1 #14 uf_4)
-#690 := (pattern #16)
-#71 := (= uf_4 #16)
-#691 := (forall (vars (?x4 T1)) (:pat #690) #71)
-#74 := (forall (vars (?x4 T1)) #71)
-#694 := (iff #74 #691)
-#692 := (iff #71 #71)
-#693 := [refl]: #692
-#695 := [quant-intro #693]: #694
-#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
-#696 := [mp #200 #695]: #691
-#572 := (not #691)
-#573 := (or #572 #569)
-#574 := [quant-inst]: #573
-#282 := [unit-resolution #574 #696]: #569
-#752 := (= #49 #522)
-decl uf_7 :: (-> T2 int)
-#666 := (uf_7 #44)
-#595 := (+ 1::int #666)
-#597 := (uf_6 #595)
-#748 := (= #597 #522)
-#605 := (= #522 #597)
-#20 := (:var 0 T2)
-#22 := (uf_7 #20)
-#698 := (pattern #22)
-#21 := (uf_3 uf_5 #20)
-#697 := (pattern #21)
-#78 := (+ 1::int #22)
-#82 := (uf_6 #78)
-#85 := (= #21 #82)
-#699 := (forall (vars (?x5 T2)) (:pat #697 #698) #85)
-#88 := (forall (vars (?x5 T2)) #85)
-#702 := (iff #88 #699)
-#700 := (iff #85 #85)
-#701 := [refl]: #700
-#703 := [quant-intro #701]: #702
-#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
-#704 := [mp #203 #703]: #699
-#607 := (not #699)
-#600 := (or #607 #605)
-#601 := [quant-inst]: #600
-#269 := [unit-resolution #601 #704]: #605
-#749 := [symm #269]: #748
-#750 := (= #49 #597)
-#499 := (uf_7 #597)
-#337 := (uf_6 #499)
-#318 := (= #337 #597)
-#28 := (uf_6 #22)
-#92 := (= #20 #28)
-#705 := (forall (vars (?x6 T2)) (:pat #698) #92)
-#96 := (forall (vars (?x6 T2)) #92)
-#706 := (iff #96 #705)
-#708 := (iff #705 #705)
-#709 := [rewrite]: #708
-#707 := [rewrite]: #706
-#710 := [trans #707 #709]: #706
-#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
-#711 := [mp #206 #710]: #705
-#376 := (not #705)
-#325 := (or #376 #318)
-#316 := (= #597 #337)
-#326 := (or #376 #316)
-#328 := (iff #326 #325)
-#329 := (iff #325 #325)
-#310 := [rewrite]: #329
-#323 := (iff #316 #318)
-#324 := [rewrite]: #323
-#317 := [monotonicity #324]: #328
-#312 := [trans #317 #310]: #328
-#327 := [quant-inst]: #326
-#313 := [mp #327 #312]: #325
-#271 := [unit-resolution #313 #711]: #318
-#746 := (= #49 #337)
-#744 := (= 2::int #499)
-#742 := (= #499 2::int)
-#578 := -1::int
-#513 := (* -1::int #666)
-#514 := (+ #499 #513)
-#474 := (<= #514 1::int)
-#512 := (= #514 1::int)
-#504 := (>= #666 -1::int)
-#586 := (>= #666 1::int)
-#378 := (= #666 1::int)
-#32 := (:var 0 int)
-#34 := (uf_6 #32)
-#712 := (pattern #34)
-#118 := (>= #32 0::int)
-#119 := (not #118)
-#35 := (uf_7 #34)
-#100 := (= #32 #35)
-#125 := (or #100 #119)
-#713 := (forall (vars (?x7 int)) (:pat #712) #125)
-#130 := (forall (vars (?x7 int)) #125)
-#716 := (iff #130 #713)
-#714 := (iff #125 #125)
-#715 := [refl]: #714
-#717 := [quant-intro #715]: #716
-#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
-#718 := [mp #209 #717]: #713
-#673 := (not #713)
-#365 := (or #673 #378)
-#307 := (>= 1::int 0::int)
-#668 := (not #307)
-#669 := (= 1::int #666)
-#655 := (or #669 #668)
-#366 := (or #673 #655)
-#645 := (iff #366 #365)
-#360 := (iff #365 #365)
-#643 := [rewrite]: #360
-#654 := (iff #655 #378)
-#374 := (or #378 false)
-#653 := (iff #374 #378)
-#650 := [rewrite]: #653
-#375 := (iff #655 #374)
-#651 := (iff #668 false)
-#1 := true
-#670 := (not true)
-#677 := (iff #670 false)
-#678 := [rewrite]: #677
-#381 := (iff #668 #670)
-#379 := (iff #307 true)
-#380 := [rewrite]: #379
-#274 := [monotonicity #380]: #381
-#652 := [trans #274 #678]: #651
-#656 := (iff #669 #378)
-#363 := [rewrite]: #656
-#649 := [monotonicity #363 #652]: #375
-#364 := [trans #649 #650]: #654
-#646 := [monotonicity #364]: #645
-#647 := [trans #646 #643]: #645
-#367 := [quant-inst]: #366
-#644 := [mp #367 #647]: #365
-#272 := [unit-resolution #644 #718]: #378
-#270 := (not #378)
-#273 := (or #270 #586)
-#725 := [th-lemma]: #273
-#726 := [unit-resolution #725 #272]: #586
-#727 := (not #586)
-#728 := (or #727 #504)
-#729 := [th-lemma]: #728
-#730 := [unit-resolution #729 #726]: #504
-#481 := (not #504)
-#496 := (or #673 #481 #512)
-#509 := (>= #595 0::int)
-#468 := (not #509)
-#501 := (= #595 #499)
-#503 := (or #501 #468)
-#497 := (or #673 #503)
-#470 := (iff #497 #496)
-#491 := (or #481 #512)
-#498 := (or #673 #491)
-#467 := (iff #498 #496)
-#469 := [rewrite]: #467
-#459 := (iff #497 #498)
-#494 := (iff #503 #491)
-#488 := (or #512 #481)
-#492 := (iff #488 #491)
-#493 := [rewrite]: #492
-#489 := (iff #503 #488)
-#486 := (iff #468 #481)
-#525 := (iff #509 #504)
-#480 := [rewrite]: #525
-#487 := [monotonicity #480]: #486
-#510 := (iff #501 #512)
-#524 := [rewrite]: #510
-#490 := [monotonicity #524 #487]: #489
-#495 := [trans #490 #493]: #494
-#460 := [monotonicity #495]: #459
-#471 := [trans #460 #469]: #470
-#482 := [quant-inst]: #497
-#473 := [mp #482 #471]: #496
-#731 := [unit-resolution #473 #718 #730]: #512
-#732 := (not #512)
-#733 := (or #732 #474)
-#734 := [th-lemma]: #733
-#735 := [unit-resolution #734 #731]: #474
-#475 := (>= #514 1::int)
-#736 := (or #732 #475)
-#737 := [th-lemma]: #736
-#738 := [unit-resolution #737 #731]: #475
-#582 := (<= #666 1::int)
-#739 := (or #270 #582)
-#740 := [th-lemma]: #739
-#741 := [unit-resolution #740 #272]: #582
-#743 := [th-lemma #726 #741 #738 #735]: #742
-#745 := [symm #743]: #744
-#747 := [monotonicity #745]: #746
-#751 := [trans #747 #271]: #750
-#753 := [trans #751 #749]: #752
-#755 := [monotonicity #753 #282]: #754
-#759 := [trans #755 #757]: #758
-#792 := (= #44 #352)
-#358 := (uf_7 #43)
-#613 := (+ 1::int #358)
-#617 := (uf_6 #613)
-#788 := (= #617 #352)
-#598 := (= #352 #617)
-#608 := (or #607 #598)
-#609 := [quant-inst]: #608
-#760 := [unit-resolution #609 #704]: #598
-#789 := [symm #760]: #788
-#790 := (= #44 #617)
-#575 := (uf_7 #617)
-#390 := (uf_6 #575)
-#382 := (= #390 #617)
-#385 := (or #376 #382)
-#392 := (= #617 #390)
-#386 := (or #376 #392)
-#387 := (iff #386 #385)
-#369 := (iff #385 #385)
-#370 := [rewrite]: #369
-#383 := (iff #392 #382)
-#384 := [rewrite]: #383
-#368 := [monotonicity #384]: #387
-#361 := [trans #368 #370]: #387
-#377 := [quant-inst]: #386
-#371 := [mp #377 #361]: #385
-#761 := [unit-resolution #371 #711]: #382
-#786 := (= #44 #390)
-#784 := (= 1::int #575)
-#782 := (= #575 1::int)
-#568 := (* -1::int #575)
-#579 := (+ #358 #568)
-#535 := (<= #579 -1::int)
-#557 := (= #579 -1::int)
-#561 := (>= #358 -1::int)
-#585 := (>= #358 0::int)
-#676 := (= #358 0::int)
-#315 := (or #673 #676)
-#268 := (>= 0::int 0::int)
-#354 := (not #268)
-#355 := (= 0::int #358)
-#359 := (or #355 #354)
-#657 := (or #673 #359)
-#320 := (iff #657 #315)
-#322 := (iff #315 #315)
-#659 := [rewrite]: #322
-#672 := (iff #359 #676)
-#675 := (or #676 false)
-#330 := (iff #675 #676)
-#335 := [rewrite]: #330
-#681 := (iff #359 #675)
-#679 := (iff #354 false)
-#343 := (iff #354 #670)
-#332 := (iff #268 true)
-#463 := [rewrite]: #332
-#344 := [monotonicity #463]: #343
-#680 := [trans #344 #678]: #679
-#338 := (iff #355 #676)
-#674 := [rewrite]: #338
-#671 := [monotonicity #674 #680]: #681
-#331 := [trans #671 #335]: #672
-#321 := [monotonicity #331]: #320
-#660 := [trans #321 #659]: #320
-#319 := [quant-inst]: #657
-#661 := [mp #319 #660]: #315
-#762 := [unit-resolution #661 #718]: #676
-#763 := (not #676)
-#764 := (or #763 #585)
-#765 := [th-lemma]: #764
-#766 := [unit-resolution #765 #762]: #585
-#767 := (not #585)
-#768 := (or #767 #561)
-#769 := [th-lemma]: #768
-#770 := [unit-resolution #769 #766]: #561
-#564 := (not #561)
-#549 := (or #673 #557 #564)
-#570 := (>= #613 0::int)
-#571 := (not #570)
-#576 := (= #613 #575)
-#577 := (or #576 #571)
-#552 := (or #673 #577)
-#530 := (iff #552 #549)
-#551 := (or #557 #564)
-#554 := (or #673 #551)
-#556 := (iff #554 #549)
-#529 := [rewrite]: #556
-#555 := (iff #552 #554)
-#547 := (iff #577 #551)
-#559 := (iff #571 #564)
-#562 := (iff #570 #561)
-#563 := [rewrite]: #562
-#565 := [monotonicity #563]: #559
-#558 := (iff #576 #557)
-#560 := [rewrite]: #558
-#548 := [monotonicity #560 #565]: #547
-#550 := [monotonicity #548]: #555
-#531 := [trans #550 #529]: #530
-#553 := [quant-inst]: #552
-#424 := [mp #553 #531]: #549
-#771 := [unit-resolution #424 #718 #770]: #557
-#772 := (not #557)
-#773 := (or #772 #535)
-#774 := [th-lemma]: #773
-#775 := [unit-resolution #774 #771]: #535
-#536 := (>= #579 -1::int)
-#776 := (or #772 #536)
-#777 := [th-lemma]: #776
-#778 := [unit-resolution #777 #771]: #536
-#584 := (<= #358 0::int)
-#779 := (or #763 #584)
-#780 := [th-lemma]: #779
-#781 := [unit-resolution #780 #762]: #584
-#783 := [th-lemma #766 #781 #778 #775]: #782
-#785 := [symm #783]: #784
-#787 := [monotonicity #785]: #786
-#791 := [trans #787 #761]: #790
-#793 := [trans #791 #789]: #792
-#796 := [monotonicity #793 #759]: #795
-#798 := [symm #796]: #797
-#353 := (= #47 #267)
-#356 := (or #345 #353)
-#357 := [quant-inst]: #356
-#794 := [unit-resolution #357 #689]: #353
-#799 := [trans #794 #798]: #52
-#53 := (not #52)
-#177 := [asserted]: #53
-[unit-resolution #177 #799]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_hol_06	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1 T2)
-:extrapreds (
-  (up_1 T1)
- )
-:assumption (not (or (forall (?x1 T1) (up_1 ?x1)) (not (forall (?x2 T1) (up_1 ?x2)))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_hol_06.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,21 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_hol_07	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,14 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_3 T1 T1)
-  (uf_2 T1 Int)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (forall (?x4 T1) (= (uf_3 ?x4) (ite (< (uf_2 ?x4) 10) ?x4 (uf_3 (uf_1 (- (uf_2 ?x4) 10))))))
-:assumption (not (= (uf_3 (uf_1 (* 4 (uf_2 (uf_3 (uf_1 4)))))) (uf_1 6)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_hol_07.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,373 +0,0 @@
-#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)
-#548 := (uf_3 #38)
-#394 := (= #548 #38)
-#549 := (= #38 #548)
-#523 := (uf_2 #38)
-#142 := -10::int
-#513 := (+ -10::int #523)
-#537 := (uf_1 #513)
-#538 := (uf_3 #537)
-#514 := (= #538 #548)
-#22 := 10::int
-#539 := (>= #523 10::int)
-#506 := (ite #539 #514 #549)
-#4 := (:var 0 T1)
-#21 := (uf_3 #4)
-#708 := (pattern #21)
-#5 := (uf_2 #4)
-#687 := (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)
-#709 := (forall (vars (?x4 T1)) (:pat #687 #708) #190)
-#193 := (forall (vars (?x4 T1)) #190)
-#712 := (iff #193 #709)
-#710 := (iff #190 #190)
-#711 := [refl]: #710
-#713 := [quant-intro #711]: #712
-#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
-#714 := [mp #212 #713]: #709
-#681 := (not #709)
-#517 := (or #681 #506)
-#533 := (= #548 #538)
-#507 := (ite #539 #533 #549)
-#518 := (or #681 #507)
-#529 := (iff #518 #517)
-#530 := (iff #517 #517)
-#485 := [rewrite]: #530
-#508 := (iff #507 #506)
-#473 := (iff #533 #514)
-#504 := [rewrite]: #473
-#515 := [monotonicity #504]: #508
-#509 := [monotonicity #515]: #529
-#486 := [trans #509 #485]: #529
-#519 := [quant-inst]: #518
-#491 := [mp #519 #486]: #517
-#484 := [unit-resolution #491 #714]: #506
-#493 := (not #539)
-#465 := (<= #523 6::int)
-#526 := (= #523 6::int)
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#695 := (pattern #12)
-#9 := 0::int
-#82 := (>= #10 0::int)
-#83 := (not #82)
-#13 := (uf_2 #12)
-#64 := (= #10 #13)
-#89 := (or #64 #83)
-#696 := (forall (vars (?x2 int)) (:pat #695) #89)
-#94 := (forall (vars (?x2 int)) #89)
-#699 := (iff #94 #696)
-#697 := (iff #89 #89)
-#698 := [refl]: #697
-#700 := [quant-intro #698]: #699
-#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
-#701 := [mp #201 #700]: #696
-#671 := (not #696)
-#615 := (or #671 #526)
-#520 := (>= 6::int 0::int)
-#522 := (not #520)
-#516 := (= 6::int #523)
-#524 := (or #516 #522)
-#604 := (or #671 #524)
-#606 := (iff #604 #615)
-#601 := (iff #615 #615)
-#608 := [rewrite]: #601
-#614 := (iff #524 #526)
-#603 := (or #526 false)
-#612 := (iff #603 #526)
-#613 := [rewrite]: #612
-#600 := (iff #524 #603)
-#609 := (iff #522 false)
-#1 := true
-#327 := (not true)
-#666 := (iff #327 false)
-#667 := [rewrite]: #666
-#618 := (iff #522 #327)
-#528 := (iff #520 true)
-#621 := [rewrite]: #528
-#622 := [monotonicity #621]: #618
-#611 := [trans #622 #667]: #609
-#525 := (iff #516 #526)
-#527 := [rewrite]: #525
-#602 := [monotonicity #527 #611]: #600
-#610 := [trans #602 #613]: #614
-#607 := [monotonicity #610]: #606
-#592 := [trans #607 #608]: #606
-#605 := [quant-inst]: #604
-#593 := [mp #605 #592]: #615
-#454 := [unit-resolution #593 #701]: #526
-#303 := (not #526)
-#462 := (or #303 #465)
-#458 := [th-lemma]: #462
-#463 := [unit-resolution #458 #454]: #465
-#442 := (not #465)
-#445 := (or #442 #493)
-#449 := [th-lemma]: #445
-#451 := [unit-resolution #449 #463]: #493
-#492 := (not #506)
-#496 := (or #492 #539 #549)
-#497 := [def-axiom]: #496
-#452 := [unit-resolution #497 #451 #484]: #549
-#395 := [symm #452]: #394
-#397 := (= #36 #548)
-#372 := (uf_2 #35)
-#576 := (+ -10::int #372)
-#568 := (uf_1 #576)
-#569 := (uf_3 #568)
-#408 := (= #569 #548)
-#401 := (= #568 #38)
-#422 := (= #576 6::int)
-#677 := (uf_2 #31)
-#365 := -1::int
-#478 := (* -1::int #677)
-#479 := (+ #33 #478)
-#480 := (<= #479 0::int)
-#476 := (= #33 #677)
-#431 := (= #32 #31)
-#589 := (= #31 #32)
-#590 := (+ -10::int #677)
-#587 := (uf_1 #590)
-#591 := (uf_3 #587)
-#571 := (= #32 #591)
-#572 := (>= #677 10::int)
-#574 := (ite #572 #571 #589)
-#577 := (or #681 #574)
-#578 := [quant-inst]: #577
-#450 := [unit-resolution #578 #714]: #574
-#580 := (not #572)
-#552 := (<= #677 4::int)
-#324 := (= #677 4::int)
-#674 := (or #671 #324)
-#343 := (>= 4::int 0::int)
-#679 := (not #343)
-#336 := (= 4::int #677)
-#678 := (or #336 #679)
-#660 := (or #671 #678)
-#368 := (iff #660 #674)
-#384 := (iff #674 #674)
-#385 := [rewrite]: #384
-#312 := (iff #678 #324)
-#669 := (or #324 false)
-#672 := (iff #669 #324)
-#311 := [rewrite]: #672
-#306 := (iff #678 #669)
-#668 := (iff #679 false)
-#664 := (iff #679 #327)
-#325 := (iff #343 true)
-#326 := [rewrite]: #325
-#665 := [monotonicity #326]: #664
-#663 := [trans #665 #667]: #668
-#320 := (iff #336 #324)
-#662 := [rewrite]: #320
-#670 := [monotonicity #662 #663]: #306
-#673 := [trans #670 #311]: #312
-#383 := [monotonicity #673]: #368
-#386 := [trans #383 #385]: #368
-#661 := [quant-inst]: #660
-#278 := [mp #661 #386]: #674
-#453 := [unit-resolution #278 #701]: #324
-#441 := (not #324)
-#444 := (or #441 #552)
-#446 := [th-lemma]: #444
-#447 := [unit-resolution #446 #453]: #552
-#443 := (not #552)
-#448 := (or #443 #580)
-#438 := [th-lemma]: #448
-#428 := [unit-resolution #438 #447]: #580
-#579 := (not #574)
-#583 := (or #579 #572 #589)
-#573 := [def-axiom]: #583
-#430 := [unit-resolution #573 #428 #450]: #589
-#434 := [symm #430]: #431
-#435 := [monotonicity #434]: #476
-#439 := (not #476)
-#432 := (or #439 #480)
-#440 := [th-lemma]: #432
-#433 := [unit-resolution #440 #435]: #480
-#481 := (>= #479 0::int)
-#436 := (or #439 #481)
-#437 := [th-lemma]: #436
-#423 := [unit-resolution #437 #435]: #481
-#553 := (>= #677 4::int)
-#425 := (or #441 #553)
-#426 := [th-lemma]: #425
-#424 := [unit-resolution #426 #453]: #553
-#648 := (* -1::int #372)
-#652 := (+ #34 #648)
-#631 := (<= #652 0::int)
-#649 := (= #652 0::int)
-#370 := (>= #34 0::int)
-#409 := (not #481)
-#427 := (not #553)
-#411 := (or #370 #427 #409)
-#412 := [th-lemma]: #411
-#413 := [unit-resolution #412 #424 #423]: #370
-#371 := (not #370)
-#640 := (or #371 #649)
-#488 := (or #671 #371 #649)
-#650 := (= #34 #372)
-#651 := (or #650 #371)
-#489 := (or #671 #651)
-#630 := (iff #489 #488)
-#632 := (or #671 #640)
-#635 := (iff #632 #488)
-#629 := [rewrite]: #635
-#633 := (iff #489 #632)
-#641 := (iff #651 #640)
-#643 := (or #649 #371)
-#645 := (iff #643 #640)
-#646 := [rewrite]: #645
-#644 := (iff #651 #643)
-#653 := (iff #650 #649)
-#642 := [rewrite]: #653
-#639 := [monotonicity #642]: #644
-#647 := [trans #639 #646]: #641
-#634 := [monotonicity #647]: #633
-#636 := [trans #634 #629]: #630
-#490 := [quant-inst]: #489
-#637 := [mp #490 #636]: #488
-#414 := [unit-resolution #637 #701]: #640
-#415 := [unit-resolution #414 #413]: #649
-#416 := (not #649)
-#417 := (or #416 #631)
-#418 := [th-lemma]: #417
-#419 := [unit-resolution #418 #415]: #631
-#638 := (>= #652 0::int)
-#420 := (or #416 #638)
-#421 := [th-lemma]: #420
-#410 := [unit-resolution #421 #415]: #638
-#399 := [th-lemma #410 #419 #424 #447 #423 #433]: #422
-#402 := [monotonicity #399]: #401
-#393 := [monotonicity #402]: #408
-#564 := (= #36 #569)
-#575 := (= #35 #36)
-#570 := (>= #372 10::int)
-#556 := (ite #570 #564 #575)
-#554 := (or #681 #556)
-#557 := [quant-inst]: #554
-#403 := [unit-resolution #557 #714]: #556
-#404 := (not #631)
-#405 := (or #570 #404 #427 #409)
-#406 := [th-lemma]: #405
-#407 := [unit-resolution #406 #419 #424 #423]: #570
-#559 := (not #570)
-#558 := (not #556)
-#560 := (or #558 #559 #564)
-#555 := [def-axiom]: #560
-#400 := [unit-resolution #555 #407 #403]: #564
-#396 := [trans #400 #393]: #397
-#398 := [trans #396 #395]: #39
-#40 := (not #39)
-#182 := [asserted]: #40
-[unit-resolution #182 #398]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_hol_08	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,24 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T1 T4 T3)
-:extrafuns (
-  (uf_3 Int T1)
-  (uf_7 T2 T4 T4)
-  (uf_1 T2 T1 T1)
-  (uf_6 T3 T4 Int)
-  (uf_4 T1 Int)
-  (uf_5 T2)
-  (uf_2 T2)
-  (uf_10 Int)
-  (uf_8 T3)
-  (uf_9 T4)
- )
-:assumption (forall (?x1 T1) (= (uf_1 uf_2 ?x1) (uf_3 (div (uf_4 ?x1) 2))))
-:assumption (forall (?x2 T1) (= (uf_1 uf_5 ?x2) (uf_3 (mod (uf_4 ?x2) 2))))
-:assumption (forall (?x3 T1) (= (uf_3 (uf_4 ?x3)) ?x3))
-:assumption (forall (?x4 Int) (implies (<= 0 ?x4) (= (uf_4 (uf_3 ?x4)) ?x4)))
-:assumption (forall (?x5 Int) (implies (< ?x5 0) (= (uf_4 (uf_3 ?x5)) 0)))
-:assumption (forall (?x6 T3) (?x7 T4) (= (mod (uf_6 ?x6 ?x7) 2) (mod (uf_6 ?x6 (uf_7 uf_5 ?x7)) 2)))
-:assumption (forall (?x8 T3) (?x9 T4) (= (+ (* (uf_6 ?x8 (uf_7 uf_2 ?x9)) 2) (uf_6 ?x8 (uf_7 uf_5 ?x9))) (uf_6 ?x8 ?x9)))
-:assumption (iff (= (uf_6 uf_8 uf_9) uf_10) (implies (= (mod (uf_6 uf_8 (uf_7 uf_5 uf_9)) 2) (mod uf_10 2)) (not (= (uf_6 uf_8 (uf_7 uf_2 uf_9)) (div (- uf_10 (uf_6 uf_8 (uf_7 uf_5 uf_9))) 2)))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_hol_08.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,410 +0,0 @@
-#2 := false
-#22 := 0::int
-decl uf_6 :: (-> T3 T4 int)
-decl uf_7 :: (-> T2 T4 T4)
-decl uf_9 :: T4
-#50 := uf_9
-decl uf_2 :: T2
-#4 := uf_2
-#59 := (uf_7 uf_2 uf_9)
-decl uf_8 :: T3
-#49 := uf_8
-#60 := (uf_6 uf_8 #59)
-#204 := -2::int
-#683 := (* -2::int #60)
-decl uf_5 :: T2
-#13 := uf_5
-#54 := (uf_7 uf_5 uf_9)
-#55 := (uf_6 uf_8 #54)
-#172 := -1::int
-#218 := (* -1::int #55)
-#685 := (+ #218 #683)
-#51 := (uf_6 uf_8 uf_9)
-#686 := (+ #51 #685)
-#679 := (>= #686 0::int)
-#687 := (= #686 0::int)
-#35 := (:var 0 T4)
-#43 := (uf_7 uf_2 #35)
-#34 := (:var 1 T3)
-#44 := (uf_6 #34 #43)
-#819 := (pattern #44)
-#38 := (uf_7 uf_5 #35)
-#39 := (uf_6 #34 #38)
-#812 := (pattern #39)
-#205 := (* -2::int #44)
-#203 := (* -1::int #39)
-#206 := (+ #203 #205)
-#36 := (uf_6 #34 #35)
-#207 := (+ #36 #206)
-#208 := (= #207 0::int)
-#820 := (forall (vars (?x8 T3) (?x9 T4)) (:pat #812 #819) #208)
-#211 := (forall (vars (?x8 T3) (?x9 T4)) #208)
-#823 := (iff #211 #820)
-#821 := (iff #208 #208)
-#822 := [refl]: #821
-#824 := [quant-intro #822]: #823
-#279 := (~ #211 #211)
-#305 := (~ #208 #208)
-#306 := [refl]: #305
-#280 := [nnf-pos #306]: #279
-#8 := 2::int
-#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
-#825 := [mp #307 #824]: #820
-#689 := (not #820)
-#675 := (or #689 #687)
-#676 := [quant-inst]: #675
-#536 := [unit-resolution #676 #825]: #687
-#537 := (not #687)
-#533 := (or #537 #679)
-#538 := [th-lemma]: #533
-#528 := [unit-resolution #538 #536]: #679
-decl uf_10 :: int
-#52 := uf_10
-#219 := (+ uf_10 #218)
-#222 := (div #219 2::int)
-#251 := (* -1::int #222)
-#252 := (+ #60 #251)
-#449 := (<= #252 0::int)
-#399 := (not #449)
-#253 := (= #252 0::int)
-#256 := (not #253)
-#57 := (mod uf_10 2::int)
-#243 := (* -1::int #57)
-#56 := (mod #55 2::int)
-#244 := (+ #56 #243)
-#245 := (= #244 0::int)
-#448 := (>= #244 0::int)
-#688 := (mod #51 2::int)
-#666 := (* -1::int #688)
-#667 := (+ #56 #666)
-#660 := (>= #667 0::int)
-#668 := (= #667 0::int)
-#40 := (mod #39 2::int)
-#173 := (* -1::int #40)
-#37 := (mod #36 2::int)
-#174 := (+ #37 #173)
-#175 := (= #174 0::int)
-#813 := (forall (vars (?x6 T3) (?x7 T4)) (:pat #812) #175)
-#178 := (forall (vars (?x6 T3) (?x7 T4)) #175)
-#816 := (iff #178 #813)
-#814 := (iff #175 #175)
-#815 := [refl]: #814
-#817 := [quant-intro #815]: #816
-#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
-#818 := [mp #304 #817]: #813
-#673 := (not #813)
-#663 := (or #673 #668)
-#756 := (* -1::int #56)
-#684 := (+ #688 #756)
-#680 := (= #684 0::int)
-#674 := (or #673 #680)
-#653 := (iff #674 #663)
-#656 := (iff #663 #663)
-#657 := [rewrite]: #656
-#671 := (iff #680 #668)
-#677 := (+ #756 #688)
-#662 := (= #677 0::int)
-#669 := (iff #662 #668)
-#670 := [rewrite]: #669
-#664 := (iff #680 #662)
-#681 := (= #684 #677)
-#661 := [rewrite]: #681
-#665 := [monotonicity #661]: #664
-#672 := [trans #665 #670]: #671
-#655 := [monotonicity #672]: #653
-#658 := [trans #655 #657]: #653
-#652 := [quant-inst]: #674
-#659 := [mp #652 #658]: #663
-#394 := [unit-resolution #659 #818]: #668
-#552 := (not #668)
-#514 := (or #552 #660)
-#517 := [th-lemma]: #514
-#499 := [unit-resolution #517 #394]: #660
-#503 := (not #448)
-#414 := [hypothesis]: #503
-#561 := (+ #57 #666)
-#709 := (<= #561 0::int)
-#602 := (= #57 #688)
-#468 := (= #688 #57)
-#53 := (= #51 uf_10)
-#248 := (not #245)
-#259 := (or #248 #256)
-#362 := (mod #219 2::int)
-#699 := (>= #362 0::int)
-#1 := true
-#81 := [true-axiom]: true
-#604 := (or false #699)
-#506 := [th-lemma]: #604
-#507 := [unit-resolution #506 #81]: #699
-#628 := (* -1::int uf_10)
-#623 := (+ #51 #628)
-#629 := (<= #623 0::int)
-#498 := (not #629)
-#597 := (>= #623 0::int)
-#381 := (not #259)
-#508 := [hypothesis]: #381
-#450 := (or #259 #245)
-#441 := [def-axiom]: #450
-#509 := [unit-resolution #441 #508]: #245
-#510 := (or #248 #448)
-#511 := [th-lemma]: #510
-#500 := [unit-resolution #511 #509]: #448
-#743 := (div uf_10 2::int)
-#723 := (* -2::int #743)
-#545 := (* -2::int #688)
-#546 := (+ #545 #723)
-#646 := (div #51 2::int)
-#645 := (* -2::int #646)
-#547 := (+ #645 #546)
-#605 := (* -2::int #57)
-#549 := (+ #605 #547)
-#594 := (* 2::int #56)
-#550 := (+ #594 #549)
-#598 := (* 2::int uf_10)
-#551 := (+ #598 #550)
-#563 := (>= #551 2::int)
-#520 := (not #563)
-#361 := (<= #244 0::int)
-#512 := (or #248 #361)
-#489 := [th-lemma]: #512
-#491 := [unit-resolution #489 #509]: #361
-#363 := (>= #252 0::int)
-#452 := (or #259 #253)
-#453 := [def-axiom]: #452
-#492 := [unit-resolution #453 #508]: #253
-#493 := (or #256 #363)
-#494 := [th-lemma]: #493
-#495 := [unit-resolution #494 #492]: #363
-#556 := (not #361)
-#573 := (not #363)
-#521 := (or #520 #573 #556)
-#703 := (>= #362 2::int)
-#704 := (not #703)
-#599 := (or false #704)
-#620 := [th-lemma]: #599
-#575 := [unit-resolution #620 #81]: #704
-#654 := (<= #667 0::int)
-#548 := (or #552 #654)
-#553 := [th-lemma]: #548
-#532 := [unit-resolution #553 #394]: #654
-#651 := (+ #645 #666)
-#624 := (+ #51 #651)
-#626 := (<= #624 0::int)
-#650 := (= #624 0::int)
-#535 := (or false #650)
-#539 := [th-lemma]: #535
-#541 := [unit-resolution #539 #81]: #650
-#542 := (not #650)
-#540 := (or #542 #626)
-#543 := [th-lemma]: #540
-#531 := [unit-resolution #543 #541]: #626
-#587 := [hypothesis]: #361
-#724 := (+ #243 #723)
-#725 := (+ uf_10 #724)
-#727 := (<= #725 0::int)
-#722 := (= #725 0::int)
-#576 := (or false #722)
-#581 := [th-lemma]: #576
-#582 := [unit-resolution #581 #81]: #722
-#583 := (not #722)
-#584 := (or #583 #727)
-#585 := [th-lemma]: #584
-#586 := [unit-resolution #585 #582]: #727
-#534 := [hypothesis]: #563
-#555 := [hypothesis]: #363
-#616 := (* -1::int #362)
-#615 := (* -2::int #222)
-#617 := (+ #615 #616)
-#618 := (+ #218 #617)
-#711 := (+ uf_10 #618)
-#708 := (<= #711 0::int)
-#606 := (= #711 0::int)
-#562 := (or false #606)
-#564 := [th-lemma]: #562
-#565 := [unit-resolution #564 #81]: #606
-#566 := (not #606)
-#568 := (or #566 #708)
-#569 := [th-lemma]: #568
-#570 := [unit-resolution #569 #565]: #708
-#518 := [th-lemma #570 #555 #528 #534 #586 #587 #531 #532 #575]: false
-#524 := [lemma #518]: #521
-#496 := [unit-resolution #524 #495 #491]: #520
-#504 := (or #597 #563 #503)
-#529 := (not #597)
-#522 := [hypothesis]: #529
-#519 := (>= #624 0::int)
-#530 := (or #542 #519)
-#523 := [th-lemma]: #530
-#526 := [unit-resolution #523 #541]: #519
-#527 := [hypothesis]: #448
-#721 := (>= #725 0::int)
-#513 := (or #583 #721)
-#515 := [th-lemma]: #513
-#516 := [unit-resolution #515 #582]: #721
-#501 := [th-lemma #499 #516 #527 #526 #522]: #563
-#525 := [hypothesis]: #520
-#502 := [unit-resolution #525 #501]: false
-#505 := [lemma #502]: #504
-#497 := [unit-resolution #505 #496 #500]: #597
-#485 := (or #498 #529)
-#558 := (not #53)
-#440 := (or #558 #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
-#455 := (not #262)
-#765 := (or #558 #259 #455)
-#439 := [def-axiom]: #765
-#772 := [unit-resolution #439 #267]: #440
-#490 := [unit-resolution #772 #508]: #558
-#483 := (or #53 #498 #529)
-#484 := [th-lemma]: #483
-#487 := [unit-resolution #484 #490]: #485
-#486 := [unit-resolution #487 #497]: #498
-#678 := (<= #686 0::int)
-#488 := (or #537 #678)
-#477 := [th-lemma]: #488
-#478 := [unit-resolution #477 #536]: #678
-#479 := (or #256 #449)
-#471 := [th-lemma]: #479
-#480 := [unit-resolution #471 #492]: #449
-#712 := (>= #711 0::int)
-#481 := (or #566 #712)
-#472 := [th-lemma]: #481
-#482 := [unit-resolution #472 #565]: #712
-#463 := [th-lemma #482 #480 #478 #486 #507]: false
-#464 := [lemma #463]: #259
-#771 := (or #53 #381)
-#434 := (or #53 #381 #455)
-#769 := [def-axiom]: #434
-#428 := [unit-resolution #769 #267]: #771
-#442 := [unit-resolution #428 #464]: #53
-#435 := [monotonicity #442]: #468
-#437 := [symm #435]: #602
-#438 := (not #602)
-#419 := (or #438 #709)
-#420 := [th-lemma]: #419
-#421 := [unit-resolution #420 #437]: #709
-#422 := [th-lemma #421 #414 #499]: false
-#423 := [lemma #422]: #448
-#410 := (or #245 #503)
-#611 := (>= #561 0::int)
-#682 := (or #438 #611)
-#447 := [th-lemma]: #682
-#430 := [unit-resolution #447 #437]: #611
-#432 := [hypothesis]: #556
-#433 := [th-lemma #532 #432 #430]: false
-#412 := [lemma #433]: #361
-#409 := (or #245 #556 #503)
-#407 := [th-lemma]: #409
-#398 := [unit-resolution #407 #412]: #410
-#400 := [unit-resolution #398 #423]: #245
-#454 := (or #381 #248 #256)
-#451 := [def-axiom]: #454
-#401 := [unit-resolution #451 #464]: #259
-#404 := [unit-resolution #401 #400]: #256
-#384 := (or #253 #399)
-#429 := [hypothesis]: #573
-#443 := (or #558 #597)
-#444 := [th-lemma]: #443
-#445 := [unit-resolution #444 #442]: #597
-#446 := [th-lemma #445 #507 #482 #429 #478]: false
-#436 := [lemma #446]: #363
-#405 := (or #253 #399 #573)
-#379 := [th-lemma]: #405
-#385 := [unit-resolution #379 #436]: #384
-#390 := [unit-resolution #385 #404]: #399
-#392 := (or #558 #629)
-#393 := [th-lemma]: #392
-#395 := [unit-resolution #393 #442]: #629
-[th-lemma #395 #575 #570 #390 #528]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_linarith_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= 3 3))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,17 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= 3.0 3.0))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,17 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_03	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (= (+ 3 1) 4))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_03.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,26 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_04	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,9 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Int)
-  (uf_2 Int)
-  (uf_3 Int)
- )
-:assumption (not (= (+ uf_1 (+ uf_2 uf_3)) (+ uf_2 (+ uf_3 uf_1))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_04.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,41 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_05	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (< 5 (ite (<= 3 8) 8 3)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_05.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,35 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_06	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Real)
-  (uf_2 Real)
- )
-:assumption (not (<= (ite (< (+ uf_1 uf_2) 0.0) (~ (+ uf_1 uf_2)) (+ uf_1 uf_2)) (+ (ite (< uf_1 0.0) (~ uf_1) uf_1) (ite (< uf_2 0.0) (~ uf_2) uf_2))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_06.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,250 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_07	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,11 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T1)
-:extrafuns (
-  (uf_3 T1)
-  (uf_2 Int Int T1)
-  (uf_1 T1 T2)
- )
-:assumption (not (= (uf_1 (uf_2 2 3)) (uf_1 uf_3)))
-:assumption (forall (?x1 Int) (?x2 Int) (iff (= (uf_2 ?x1 ?x2) uf_3) (< ?x1 ?x2)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_07.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,124 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_08	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,7 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Int)
- )
-:assumption (not (or (<= 4 (+ uf_1 3)) (< uf_1 1)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_08.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,54 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_09	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,10 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Int)
-  (uf_2 Int)
- )
-:assumption (<= 3 uf_1)
-:assumption (= uf_2 (+ uf_1 4))
-:assumption (not (< 0 (- uf_2 uf_1)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_09.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,63 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_10	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not (let (?x1 2) (not (= (+ ?x1 ?x1) 5))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_10.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,35 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_11	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,10 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_2 Real)
-  (uf_1 Real)
- )
-:assumption (< (+ (* 3.0 uf_1) (* 7.0 uf_2)) 4.0)
-:assumption (< 3.0 (* 2.0 uf_1))
-:assumption (not (< uf_2 0.0))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_11.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,45 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_12	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_2 Int)
-  (uf_1 Int)
- )
-:assumption (not (iff (or (<= 0 (+ uf_1 (* (~ 1) uf_2))) (or (not (<= 0 uf_2)) (<= 0 uf_2))) (not false)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_12.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,59 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_13	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,13 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_4 T1)
-  (uf_1 Int Int T1)
-  (uf_3 Int Int T1)
-  (uf_2 Int)
- )
-:assumption (not (distinct (uf_1 uf_2 3) (uf_3 3 uf_2)))
-:assumption (forall (?x1 Int) (?x2 Int) (iff (= (uf_3 ?x1 ?x2) uf_4) (<= ?x1 ?x2)))
-:assumption (forall (?x3 Int) (?x4 Int) (iff (= (uf_1 ?x3 ?x4) uf_4) (< ?x3 ?x4)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_13.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,212 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_14	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Int)
- )
-:assumption (< 0 uf_1)
-:assumption (not (distinct uf_1 (* uf_1 2) (- uf_1 uf_1)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_14.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,86 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_15	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,9 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_2 Int)
-  (uf_1 Int)
-  (uf_3 Int)
- )
-:assumption (not (or (and (< uf_1 uf_2) (< uf_2 uf_3)) (or (and (< uf_1 uf_2) (= uf_2 uf_3)) (or (and (< uf_1 uf_3) (< uf_3 uf_2)) (or (and (= uf_1 uf_3) (< uf_3 uf_2)) (or (and (= uf_1 uf_2) (< uf_2 uf_3)) (or (and (< uf_3 uf_2) (< uf_2 uf_1)) (or (and (< uf_3 uf_2) (= uf_2 uf_1)) (or (and (< uf_3 uf_1) (< uf_1 uf_2)) (or (and (= uf_3 uf_1) (< uf_1 uf_2)) (or (and (= uf_3 uf_2) (< uf_2 uf_1)) (or (and (< uf_2 uf_1) (< uf_1 uf_3)) (or (and (< uf_2 uf_1) (= uf_3 uf_1)) (or (and (< uf_2 uf_3) (< uf_3 uf_1)) (or (and (= uf_2 uf_1) (< uf_1 uf_3)) (or (and (= uf_2 uf_3) (< uf_3 uf_1)) (and (= uf_3 uf_2) (= uf_2 uf_1))))))))))))))))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_15.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,673 +0,0 @@
-#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)
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-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_16	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,26 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_3 Int)
-  (uf_2 Int)
-  (uf_1 Int)
-  (uf_4 Int)
-  (uf_5 Int)
-  (uf_6 Int)
-  (uf_7 Int)
-  (uf_8 Int)
-  (uf_9 Int)
-  (uf_10 Int)
-  (uf_11 Int)
- )
-:assumption (= uf_1 (- (ite (< uf_2 0) (~ uf_2) uf_2) uf_3))
-:assumption (= uf_4 (- (ite (< uf_1 0) (~ uf_1) uf_1) uf_2))
-:assumption (= uf_5 (- (ite (< uf_4 0) (~ uf_4) uf_4) uf_1))
-:assumption (= uf_6 (- (ite (< uf_5 0) (~ uf_5) uf_5) uf_4))
-:assumption (= uf_7 (- (ite (< uf_6 0) (~ uf_6) uf_6) uf_5))
-:assumption (= uf_8 (- (ite (< uf_7 0) (~ uf_7) uf_7) uf_6))
-:assumption (= uf_9 (- (ite (< uf_8 0) (~ uf_8) uf_8) uf_7))
-:assumption (= uf_10 (- (ite (< uf_9 0) (~ uf_9) uf_9) uf_8))
-:assumption (= uf_11 (- (ite (< uf_10 0) (~ uf_10) uf_10) uf_9))
-:assumption (not (and (= uf_3 uf_10) (= uf_2 uf_11)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_16.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,2291 +0,0 @@
-#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)
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-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_17	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Real)
- )
-:assumption (not (flet ($x1 (< (+ uf_1 uf_1) (+ (* 2.0 uf_1) 1.0))) (or $x1 (or false $x1))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_17.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,52 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_18	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,7 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Int)
- )
-:assumption (not (<= (+ uf_1 1) (+ uf_1 (+ (* 2 (mod uf_1 2)) 1))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_18.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,52 +0,0 @@
-#2 := false
-#55 := 0::int
-#7 := 2::int
-decl uf_1 :: int
-#4 := uf_1
-#8 := (mod uf_1 2::int)
-#9 := (* 2::int #8)
-#56 := (>= #9 0::int)
-#51 := (not #56)
-#5 := 1::int
-#10 := (+ #9 1::int)
-#11 := (+ uf_1 #10)
-#6 := (+ uf_1 1::int)
-#12 := (<= #6 #11)
-#13 := (not #12)
-#58 := (iff #13 #51)
-#39 := (+ uf_1 #9)
-#40 := (+ 1::int #39)
-#30 := (+ 1::int uf_1)
-#45 := (<= #30 #40)
-#48 := (not #45)
-#52 := (iff #48 #51)
-#53 := (iff #45 #56)
-#54 := [rewrite]: #53
-#57 := [monotonicity #54]: #52
-#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
-#59 := [trans #50 #57]: #58
-#29 := [asserted]: #13
-#60 := [mp #29 #59]: #51
-#107 := (>= #8 0::int)
-#1 := true
-#28 := [true-axiom]: true
-#135 := (or false #107)
-#136 := [th-lemma]: #135
-#137 := [unit-resolution #136 #28]: #107
-[th-lemma #137 #60]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_linarith_19	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,7 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Int)
- )
-:assumption (not (< (+ uf_1 (+ (mod uf_1 2) (mod uf_1 2))) (+ uf_1 3)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_19.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,50 +0,0 @@
-#2 := false
-#5 := 2::int
-decl uf_1 :: int
-#4 := uf_1
-#6 := (mod uf_1 2::int)
-#122 := (>= #6 2::int)
-#123 := (not #122)
-#1 := true
-#27 := [true-axiom]: true
-#133 := (or false #123)
-#134 := [th-lemma]: #133
-#135 := [unit-resolution #134 #27]: #123
-#9 := 3::int
-#29 := (* 2::int #6)
-#48 := (>= #29 3::int)
-#10 := (+ uf_1 3::int)
-#7 := (+ #6 #6)
-#8 := (+ uf_1 #7)
-#11 := (< #8 #10)
-#12 := (not #11)
-#55 := (iff #12 #48)
-#35 := (+ 3::int uf_1)
-#32 := (+ uf_1 #29)
-#38 := (< #32 #35)
-#41 := (not #38)
-#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
-#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
-#56 := [trans #43 #54]: #55
-#28 := [asserted]: #12
-#57 := [mp #28 #56]: #48
-[th-lemma #57 #135]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_linarith_20	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,9 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Real)
- )
-:assumption (not (= uf_1 0.0))
-:assumption (not (not (= (+ uf_1 uf_1) (* (ite (or (< 1.0 (ite (< uf_1 0.0) (~ uf_1) uf_1)) (not (< 1.0 (ite (< uf_1 0.0) (~ uf_1) uf_1)))) 4.0 2.0) uf_1))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_20.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,118 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_linarith_21	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,10 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_2 Int)
-  (uf_1 Int)
- )
-:assumption (= (mod (+ uf_1 uf_2) 2) 0)
-:assumption (= (mod uf_1 4) 3)
-:assumption (not (and (= (mod uf_1 2) 1) (= (mod uf_2 2) 1)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_linarith_21.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,208 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_mono_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,58 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T13 T12 T11 T10 T9 T8 T7 T6 T5 T4 T1 T3)
-:extrafuns (
-  (uf_37 T13)
-  (uf_34 T12)
-  (uf_31 T11)
-  (uf_28 T10)
-  (uf_25 T9)
-  (uf_22 T8)
-  (uf_19 T7)
-  (uf_16 T6)
-  (uf_13 T5)
-  (uf_10 T4)
-  (uf_7 T1)
-  (uf_4 T3)
-  (uf_36 Int T13 T13)
-  (uf_33 T13 T12 T12)
-  (uf_30 T12 T11 T11)
-  (uf_27 T11 T10 T10)
-  (uf_24 T10 T9 T9)
-  (uf_21 T9 T8 T8)
-  (uf_18 T8 T7 T7)
-  (uf_15 T7 T6 T6)
-  (uf_12 T6 T5 T5)
-  (uf_9 T5 T4 T4)
-  (uf_6 T4 T1 T1)
-  (uf_3 T1 T3 T3)
- )
-:extrapreds (
-  (up_35 Int)
-  (up_32 T13)
-  (up_29 T12)
-  (up_26 T11)
-  (up_23 T10)
-  (up_20 T9)
-  (up_17 T8)
-  (up_14 T7)
-  (up_11 T6)
-  (up_8 T5)
-  (up_5 T4)
-  (up_1 T1)
-  (up_2 T3)
- )
-:assumption (forall (?x1 T1) (and (up_1 ?x1) (or (up_2 (uf_3 ?x1 uf_4)) (not (up_2 (uf_3 ?x1 uf_4))))))
-:assumption (forall (?x2 T4) (and (up_5 ?x2) (or (up_1 (uf_6 ?x2 uf_7)) (not (up_1 (uf_6 ?x2 uf_7))))))
-:assumption (forall (?x3 T5) (and (up_8 ?x3) (or (up_5 (uf_9 ?x3 uf_10)) (not (up_5 (uf_9 ?x3 uf_10))))))
-:assumption (forall (?x4 T6) (and (up_11 ?x4) (or (up_8 (uf_12 ?x4 uf_13)) (not (up_8 (uf_12 ?x4 uf_13))))))
-:assumption (forall (?x5 T7) (and (up_14 ?x5) (or (up_11 (uf_15 ?x5 uf_16)) (not (up_11 (uf_15 ?x5 uf_16))))))
-:assumption (forall (?x6 T8) (and (up_17 ?x6) (or (up_14 (uf_18 ?x6 uf_19)) (not (up_14 (uf_18 ?x6 uf_19))))))
-:assumption (forall (?x7 T9) (and (up_20 ?x7) (or (up_17 (uf_21 ?x7 uf_22)) (not (up_17 (uf_21 ?x7 uf_22))))))
-:assumption (forall (?x8 T10) (and (up_23 ?x8) (or (up_20 (uf_24 ?x8 uf_25)) (not (up_20 (uf_24 ?x8 uf_25))))))
-:assumption (forall (?x9 T11) (and (up_26 ?x9) (or (up_23 (uf_27 ?x9 uf_28)) (not (up_23 (uf_27 ?x9 uf_28))))))
-:assumption (forall (?x10 T12) (and (up_29 ?x10) (or (up_26 (uf_30 ?x10 uf_31)) (not (up_26 (uf_30 ?x10 uf_31))))))
-:assumption (forall (?x11 T13) (and (up_32 ?x11) (or (up_29 (uf_33 ?x11 uf_34)) (not (up_29 (uf_33 ?x11 uf_34))))))
-:assumption (forall (?x12 Int) (and (up_35 ?x12) (or (up_32 (uf_36 ?x12 uf_37)) (not (up_32 (uf_36 ?x12 uf_37))))))
-:assumption (not (up_35 1))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_mono_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,50 +0,0 @@
-#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)
-#911 := (pattern #104)
-#912 := (forall (vars (?x12 int)) (:pat #911) #104)
-#294 := (forall (vars (?x12 int)) #104)
-#915 := (iff #294 #912)
-#913 := (iff #104 #104)
-#914 := [refl]: #913
-#916 := [quant-intro #914]: #915
-#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
-#917 := [mp #363 #916]: #912
-#418 := (not #912)
-#504 := (or #418 #113)
-#419 := [quant-inst]: #504
-[unit-resolution #419 #917 #297]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_mono_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,41 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T5 T6 T3 T1 T2 T4 T8 T7)
-:extrafuns (
-  (uf_19 T1)
-  (uf_3 Int T3)
-  (uf_7 T2)
-  (uf_8 T4)
-  (uf_2 T1 T2 T2)
-  (uf_6 Int T4 T4)
-  (uf_10 T5 T1 T3)
-  (uf_12 T6 Int T3)
-  (uf_13 T2 T3)
-  (uf_14 T4 T3)
-  (uf_17 T8 T3)
-  (uf_15 T7 T3)
-  (uf_18 T1 T8)
-  (uf_16 Int T7)
-  (uf_9 T5 T2 T3)
-  (uf_11 T6 T4 T3)
-  (uf_1 T2 T3)
-  (uf_5 T4 T3)
-  (uf_4 T3 Int)
- )
-:assumption (forall (?x1 T1) (?x2 T2) (= (uf_1 (uf_2 ?x1 ?x2)) (uf_3 (+ (uf_4 (uf_1 ?x2)) (uf_4 (uf_3 (+ 0 1)))))))
-:assumption (forall (?x3 Int) (?x4 T4) (= (uf_5 (uf_6 ?x3 ?x4)) (uf_3 (+ (uf_4 (uf_5 ?x4)) (uf_4 (uf_3 (+ 0 1)))))))
-:assumption (= (uf_1 uf_7) (uf_3 0))
-:assumption (= (uf_5 uf_8) (uf_3 0))
-:assumption (forall (?x5 T5) (?x6 T1) (?x7 T2) (= (uf_9 ?x5 (uf_2 ?x6 ?x7)) (uf_3 (+ (+ (uf_4 (uf_10 ?x5 ?x6)) (uf_4 (uf_9 ?x5 ?x7))) (uf_4 (uf_3 (+ 0 1)))))))
-:assumption (forall (?x8 T6) (?x9 Int) (?x10 T4) (= (uf_11 ?x8 (uf_6 ?x9 ?x10)) (uf_3 (+ (+ (uf_4 (uf_12 ?x8 ?x9)) (uf_4 (uf_11 ?x8 ?x10))) (uf_4 (uf_3 (+ 0 1)))))))
-:assumption (forall (?x11 T5) (= (uf_9 ?x11 uf_7) (uf_3 0)))
-:assumption (forall (?x12 T6) (= (uf_11 ?x12 uf_8) (uf_3 0)))
-:assumption (forall (?x13 T2) (= (uf_13 ?x13) (uf_1 ?x13)))
-:assumption (forall (?x14 T4) (= (uf_14 ?x14) (uf_5 ?x14)))
-:assumption (forall (?x15 Int) (= (uf_15 (uf_16 ?x15)) (uf_14 (uf_6 ?x15 uf_8))))
-:assumption (forall (?x16 T1) (= (uf_17 (uf_18 ?x16)) (uf_13 (uf_2 ?x16 uf_7))))
-:assumption (forall (?x17 T3) (= (uf_3 (uf_4 ?x17)) ?x17))
-:assumption (forall (?x18 Int) (implies (<= 0 ?x18) (= (uf_4 (uf_3 ?x18)) ?x18)))
-:assumption (forall (?x19 Int) (implies (< ?x19 0) (= (uf_4 (uf_3 ?x19)) 0)))
-:assumption (not (= (uf_15 (uf_16 3)) (uf_17 (uf_18 uf_19))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_mono_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,492 +0,0 @@
-#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
-#857 := (uf_2 uf_19 uf_7)
-#859 := (uf_13 #857)
-#599 := (= #859 #106)
-#526 := (= #106 #859)
-#79 := (:var 0 T1)
-#82 := (uf_2 #79 uf_7)
-#932 := (pattern #82)
-#80 := (uf_18 #79)
-#931 := (pattern #80)
-#83 := (uf_13 #82)
-#81 := (uf_17 #80)
-#84 := (= #81 #83)
-#933 := (forall (vars (?x16 T1)) (:pat #931 #932) #84)
-#85 := (forall (vars (?x16 T1)) #84)
-#936 := (iff #85 #933)
-#934 := (iff #84 #84)
-#935 := [refl]: #934
-#937 := [quant-intro #935]: #936
-#347 := (~ #85 #85)
-#384 := (~ #84 #84)
-#385 := [refl]: #384
-#348 := [nnf-pos #385]: #347
-#238 := [asserted]: #85
-#386 := [mp~ #238 #348]: #85
-#938 := [mp #386 #937]: #933
-#861 := (not #933)
-#862 := (or #861 #526)
-#863 := [quant-inst]: #862
-#601 := [unit-resolution #863 #938]: #526
-#588 := [symm #601]: #599
-#586 := (= #103 #859)
-decl uf_1 :: (-> T2 T3)
-#558 := (uf_1 #857)
-#832 := (= #558 #859)
-#5 := (:var 0 T2)
-#66 := (uf_13 #5)
-#908 := (pattern #66)
-#8 := (uf_1 #5)
-#907 := (pattern #8)
-#222 := (= #8 #66)
-#909 := (forall (vars (?x13 T2)) (:pat #907 #908) #222)
-#226 := (forall (vars (?x13 T2)) #222)
-#912 := (iff #226 #909)
-#910 := (iff #222 #222)
-#911 := [refl]: #910
-#913 := [quant-intro #911]: #912
-#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
-#914 := [mp #377 #913]: #909
-#451 := (not #909)
-#837 := (or #451 #832)
-#547 := [quant-inst]: #837
-#615 := [unit-resolution #547 #914]: #832
-#585 := (= #103 #558)
-decl uf_3 :: (-> int T3)
-decl uf_4 :: (-> T3 int)
-#30 := (uf_1 uf_7)
-#806 := (uf_4 #30)
-#11 := 1::int
-#127 := (uf_3 1::int)
-#130 := (uf_4 #127)
-#649 := (+ #130 #806)
-#794 := (uf_3 #649)
-#597 := (= #794 #558)
-#683 := (= #558 #794)
-#4 := (:var 1 T1)
-#6 := (uf_2 #4 #5)
-#865 := (pattern #6)
-#9 := (uf_4 #8)
-#133 := (+ #9 #130)
-#136 := (uf_3 #133)
-#7 := (uf_1 #6)
-#139 := (= #7 #136)
-#866 := (forall (vars (?x1 T1) (?x2 T2)) (:pat #865) #139)
-#142 := (forall (vars (?x1 T1) (?x2 T2)) #139)
-#869 := (iff #142 #866)
-#867 := (iff #139 #139)
-#868 := [refl]: #867
-#870 := [quant-intro #868]: #869
-#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
-#871 := [mp #363 #870]: #866
-#701 := (not #866)
-#694 := (or #701 #683)
-#688 := (+ #806 #130)
-#689 := (uf_3 #688)
-#690 := (= #558 #689)
-#702 := (or #701 #690)
-#704 := (iff #702 #694)
-#706 := (iff #694 #694)
-#799 := [rewrite]: #706
-#698 := (iff #690 #683)
-#795 := (= #689 #794)
-#797 := (= #688 #649)
-#699 := [rewrite]: #797
-#798 := [monotonicity #699]: #795
-#700 := [monotonicity #798]: #698
-#705 := [monotonicity #700]: #704
-#796 := [trans #705 #799]: #704
-#703 := [quant-inst]: #702
-#800 := [mp #703 #796]: #694
-#614 := [unit-resolution #800 #871]: #683
-#598 := [symm #614]: #597
-#583 := (= #103 #794)
-#595 := (= #127 #794)
-#605 := (= #794 #127)
-#618 := (= #649 1::int)
-#780 := (<= #806 0::int)
-#778 := (= #806 0::int)
-#31 := (uf_3 0::int)
-#858 := (uf_4 #31)
-#855 := (= #858 0::int)
-#72 := (:var 0 int)
-#92 := (uf_3 #72)
-#947 := (pattern #92)
-#266 := (>= #72 0::int)
-#267 := (not #266)
-#93 := (uf_4 #92)
-#248 := (= #72 #93)
-#273 := (or #248 #267)
-#948 := (forall (vars (?x18 int)) (:pat #947) #273)
-#278 := (forall (vars (?x18 int)) #273)
-#951 := (iff #278 #948)
-#949 := (iff #273 #273)
-#950 := [refl]: #949
-#952 := [quant-intro #950]: #951
-#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
-#953 := [mp #392 #952]: #948
-#848 := (not #948)
-#850 := (or #848 #855)
-#527 := (>= 0::int 0::int)
-#860 := (not #527)
-#864 := (= 0::int #858)
-#854 := (or #864 #860)
-#489 := (or #848 #854)
-#851 := (iff #489 #850)
-#852 := (iff #850 #850)
-#838 := [rewrite]: #852
-#847 := (iff #854 #855)
-#843 := (or #855 false)
-#846 := (iff #843 #855)
-#841 := [rewrite]: #846
-#844 := (iff #854 #843)
-#505 := (iff #860 false)
-#1 := true
-#498 := (not true)
-#503 := (iff #498 false)
-#504 := [rewrite]: #503
-#840 := (iff #860 #498)
-#514 := (iff #527 true)
-#856 := [rewrite]: #514
-#502 := [monotonicity #856]: #840
-#842 := [trans #502 #504]: #505
-#513 := (iff #864 #855)
-#518 := [rewrite]: #513
-#845 := [monotonicity #518 #842]: #844
-#484 := [trans #845 #841]: #847
-#849 := [monotonicity #484]: #851
-#839 := [trans #849 #838]: #851
-#490 := [quant-inst]: #489
-#546 := [mp #490 #839]: #850
-#644 := [unit-resolution #546 #953]: #855
-#621 := (= #806 #858)
-#32 := (= #30 #31)
-#159 := [asserted]: #32
-#626 := [monotonicity #159]: #621
-#616 := [trans #626 #644]: #778
-#606 := (not #778)
-#608 := (or #606 #780)
-#609 := [th-lemma]: #608
-#612 := [unit-resolution #609 #616]: #780
-#790 := (>= #806 0::int)
-#613 := (or #606 #790)
-#617 := [th-lemma]: #613
-#610 := [unit-resolution #617 #616]: #790
-#723 := (<= #130 1::int)
-#746 := (= #130 1::int)
-#713 := (or #848 #746)
-#755 := (>= 1::int 0::int)
-#756 := (not #755)
-#743 := (= 1::int #130)
-#744 := (or #743 #756)
-#714 := (or #848 #744)
-#718 := (iff #714 #713)
-#720 := (iff #713 #713)
-#725 := [rewrite]: #720
-#739 := (iff #744 #746)
-#735 := (or #746 false)
-#738 := (iff #735 #746)
-#733 := [rewrite]: #738
-#736 := (iff #744 #735)
-#731 := (iff #756 false)
-#734 := (iff #756 #498)
-#742 := (iff #755 true)
-#748 := [rewrite]: #742
-#730 := [monotonicity #748]: #734
-#732 := [trans #730 #504]: #731
-#745 := (iff #743 #746)
-#747 := [rewrite]: #745
-#737 := [monotonicity #747 #732]: #736
-#712 := [trans #737 #733]: #739
-#719 := [monotonicity #712]: #718
-#721 := [trans #719 #725]: #718
-#607 := [quant-inst]: #714
-#722 := [mp #607 #721]: #713
-#641 := [unit-resolution #722 #953]: #746
-#620 := (not #746)
-#623 := (or #620 #723)
-#627 := [th-lemma]: #623
-#629 := [unit-resolution #627 #641]: #723
-#726 := (>= #130 1::int)
-#630 := (or #620 #726)
-#628 := [th-lemma]: #630
-#631 := [unit-resolution #628 #641]: #726
-#611 := [th-lemma #631 #629 #610 #612]: #618
-#587 := [monotonicity #611]: #605
-#596 := [symm #587]: #595
-#581 := (= #103 #127)
-decl uf_5 :: (-> T4 T3)
-decl uf_8 :: T4
-#33 := uf_8
-#34 := (uf_5 uf_8)
-#822 := (uf_4 #34)
-#824 := (+ #130 #822)
-#666 := (uf_3 #824)
-#593 := (= #666 #127)
-#589 := (= #127 #666)
-#624 := (= 1::int #824)
-#619 := (= #824 1::int)
-#789 := (<= #822 0::int)
-#787 := (= #822 0::int)
-#632 := (= #822 #858)
-#35 := (= #34 #31)
-#162 := (= #31 #34)
-#163 := (iff #35 #162)
-#164 := [rewrite]: #163
-#160 := [asserted]: #35
-#167 := [mp #160 #164]: #162
-#662 := [symm #167]: #35
-#633 := [monotonicity #662]: #632
-#634 := [trans #633 #644]: #787
-#635 := (not #787)
-#637 := (or #635 #789)
-#638 := [th-lemma]: #637
-#639 := [unit-resolution #638 #634]: #789
-#781 := (>= #822 0::int)
-#481 := (or #635 #781)
-#640 := [th-lemma]: #481
-#636 := [unit-resolution #640 #634]: #781
-#622 := [th-lemma #631 #629 #636 #639]: #619
-#625 := [symm #622]: #624
-#590 := [monotonicity #625]: #589
-#594 := [symm #590]: #593
-#579 := (= #103 #666)
-decl uf_6 :: (-> int T4 T4)
-#539 := (uf_6 3::int uf_8)
-#836 := (uf_5 #539)
-#810 := (= #836 #666)
-#813 := (= #666 #836)
-#20 := (:var 0 T4)
-#19 := (:var 1 int)
-#21 := (uf_6 #19 #20)
-#872 := (pattern #21)
-#23 := (uf_5 #20)
-#24 := (uf_4 #23)
-#146 := (+ #24 #130)
-#150 := (uf_3 #146)
-#22 := (uf_5 #21)
-#153 := (= #22 #150)
-#873 := (forall (vars (?x3 int) (?x4 T4)) (:pat #872) #153)
-#156 := (forall (vars (?x3 int) (?x4 T4)) #153)
-#876 := (iff #156 #873)
-#874 := (iff #153 #153)
-#875 := [refl]: #874
-#877 := [quant-intro #875]: #876
-#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
-#878 := [mp #366 #877]: #873
-#809 := (not #873)
-#816 := (or #809 #813)
-#817 := (+ #822 #130)
-#818 := (uf_3 #817)
-#823 := (= #836 #818)
-#645 := (or #809 #823)
-#648 := (iff #645 #816)
-#802 := (iff #816 #816)
-#804 := [rewrite]: #802
-#814 := (iff #823 #813)
-#807 := (iff #810 #813)
-#808 := [rewrite]: #807
-#811 := (iff #823 #810)
-#667 := (= #818 #666)
-#819 := (= #817 #824)
-#825 := [rewrite]: #819
-#668 := [monotonicity #825]: #667
-#812 := [monotonicity #668]: #811
-#815 := [trans #812 #808]: #814
-#801 := [monotonicity #815]: #648
-#805 := [trans #801 #804]: #648
-#647 := [quant-inst]: #645
-#803 := [mp #647 #805]: #816
-#658 := [unit-resolution #803 #878]: #813
-#592 := [symm #658]: #810
-#600 := (= #103 #836)
-decl uf_14 :: (-> T4 T3)
-#540 := (uf_14 #539)
-#548 := (= #540 #836)
-#69 := (uf_14 #20)
-#916 := (pattern #69)
-#915 := (pattern #23)
-#230 := (= #23 #69)
-#917 := (forall (vars (?x14 T4)) (:pat #915 #916) #230)
-#234 := (forall (vars (?x14 T4)) #230)
-#920 := (iff #234 #917)
-#918 := (iff #230 #230)
-#919 := [refl]: #918
-#921 := [quant-intro #919]: #920
-#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
-#922 := [mp #380 #921]: #917
-#541 := (not #917)
-#828 := (or #541 #548)
-#833 := (= #836 #540)
-#829 := (or #541 #833)
-#826 := (iff #829 #828)
-#827 := (iff #828 #828)
-#831 := [rewrite]: #827
-#549 := (iff #833 #548)
-#550 := [rewrite]: #549
-#830 := [monotonicity #550]: #826
-#820 := [trans #830 #831]: #826
-#543 := [quant-inst]: #829
-#821 := [mp #543 #820]: #828
-#657 := [unit-resolution #821 #922]: #548
-#521 := (= #103 #540)
-#75 := (uf_6 #72 uf_8)
-#924 := (pattern #75)
-#73 := (uf_16 #72)
-#923 := (pattern #73)
-#76 := (uf_14 #75)
-#74 := (uf_15 #73)
-#77 := (= #74 #76)
-#925 := (forall (vars (?x15 int)) (:pat #923 #924) #77)
-#78 := (forall (vars (?x15 int)) #77)
-#928 := (iff #78 #925)
-#926 := (iff #77 #77)
-#927 := [refl]: #926
-#929 := [quant-intro #927]: #928
-#345 := (~ #78 #78)
-#381 := (~ #77 #77)
-#382 := [refl]: #381
-#346 := [nnf-pos #382]: #345
-#237 := [asserted]: #78
-#383 := [mp~ #237 #346]: #78
-#930 := [mp #383 #929]: #925
-#515 := (not #925)
-#646 := (or #515 #521)
-#853 := [quant-inst]: #646
-#603 := [unit-resolution #853 #930]: #521
-#577 := [trans #603 #657]: #600
-#580 := [trans #577 #592]: #579
-#582 := [trans #580 #594]: #581
-#584 := [trans #582 #596]: #583
-#578 := [trans #584 #598]: #585
-#571 := [trans #578 #615]: #586
-#572 := [trans #571 #588]: #107
-#108 := (not #107)
-#325 := [asserted]: #108
-[unit-resolution #325 #572]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,13 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_2 T1 Int)
-  (uf_3 T1)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (= (uf_1 (* 2 (uf_2 uf_3))) (uf_1 1))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,246 +0,0 @@
-#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)
-#292 := -1::int
-#296 := (* -1::int #293)
-#275 := (+ #24 #296)
-#258 := (<= #275 0::int)
-#611 := (= #275 0::int)
-#204 := (>= #24 0::int)
-#596 := (= #293 0::int)
-#541 := (not #596)
-#300 := (<= #293 0::int)
-#460 := (not #300)
-#26 := 1::int
-#570 := (>= #293 1::int)
-#569 := (= #293 1::int)
-#27 := (uf_1 1::int)
-#318 := (uf_2 #27)
-#311 := (= #318 1::int)
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#627 := (pattern #12)
-#70 := (>= #10 0::int)
-#71 := (not #70)
-#13 := (uf_2 #12)
-#52 := (= #10 #13)
-#77 := (or #52 #71)
-#628 := (forall (vars (?x2 int)) (:pat #627) #77)
-#82 := (forall (vars (?x2 int)) #77)
-#631 := (iff #82 #628)
-#629 := (iff #77 #77)
-#630 := [refl]: #629
-#632 := [quant-intro #630]: #631
-#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
-#633 := [mp #146 #632]: #628
-#612 := (not #628)
-#575 := (or #612 #311)
-#316 := (>= 1::int 0::int)
-#317 := (not #316)
-#211 := (= 1::int #318)
-#588 := (or #211 #317)
-#576 := (or #612 #588)
-#572 := (iff #576 #575)
-#578 := (iff #575 #575)
-#573 := [rewrite]: #578
-#585 := (iff #588 #311)
-#583 := (or #311 false)
-#584 := (iff #583 #311)
-#581 := [rewrite]: #584
-#297 := (iff #588 #583)
-#304 := (iff #317 false)
-#1 := true
-#587 := (not true)
-#302 := (iff #587 false)
-#303 := [rewrite]: #302
-#591 := (iff #317 #587)
-#586 := (iff #316 true)
-#590 := [rewrite]: #586
-#301 := [monotonicity #590]: #591
-#582 := [trans #301 #303]: #304
-#589 := (iff #211 #311)
-#312 := [rewrite]: #589
-#580 := [monotonicity #312 #582]: #297
-#574 := [trans #580 #581]: #585
-#577 := [monotonicity #574]: #572
-#579 := [trans #577 #573]: #572
-#571 := [quant-inst]: #576
-#420 := [mp #571 #579]: #575
-#437 := [unit-resolution #420 #633]: #311
-#452 := (= #293 #318)
-#28 := (= #25 #27)
-#129 := [asserted]: #28
-#454 := [monotonicity #129]: #452
-#455 := [trans #454 #437]: #569
-#448 := (not #569)
-#456 := (or #448 #570)
-#457 := [th-lemma]: #456
-#458 := [unit-resolution #457 #455]: #570
-#459 := (not #570)
-#553 := (or #459 #460)
-#550 := [th-lemma]: #553
-#554 := [unit-resolution #550 #458]: #460
-#543 := (or #541 #300)
-#535 := [th-lemma]: #543
-#532 := [unit-resolution #535 #554]: #541
-#598 := (or #204 #596)
-#18 := (= #13 0::int)
-#118 := (or #18 #70)
-#634 := (forall (vars (?x3 int)) (:pat #627) #118)
-#123 := (forall (vars (?x3 int)) #118)
-#637 := (iff #123 #634)
-#635 := (iff #118 #118)
-#636 := [refl]: #635
-#638 := [quant-intro #636]: #637
-#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
-#639 := [mp #149 #638]: #634
-#595 := (not #634)
-#601 := (or #595 #204 #596)
-#597 := (or #596 #204)
-#238 := (or #595 #597)
-#606 := (iff #238 #601)
-#604 := (or #595 #598)
-#605 := (iff #604 #601)
-#603 := [rewrite]: #605
-#243 := (iff #238 #604)
-#599 := (iff #597 #598)
-#600 := [rewrite]: #599
-#244 := [monotonicity #600]: #243
-#592 := [trans #244 #603]: #606
-#602 := [quant-inst]: #238
-#593 := [mp #602 #592]: #601
-#534 := [unit-resolution #593 #639]: #598
-#544 := [unit-resolution #534 #532]: #204
-#290 := (not #204)
-#281 := (or #290 #611)
-#618 := (or #612 #290 #611)
-#294 := (= #24 #293)
-#295 := (or #294 #290)
-#608 := (or #612 #295)
-#594 := (iff #608 #618)
-#272 := (or #612 #281)
-#610 := (iff #272 #618)
-#252 := [rewrite]: #610
-#609 := (iff #608 #272)
-#616 := (iff #295 #281)
-#400 := (or #611 #290)
-#614 := (iff #400 #281)
-#615 := [rewrite]: #614
-#607 := (iff #295 #400)
-#613 := (iff #294 #611)
-#269 := [rewrite]: #613
-#280 := [monotonicity #269]: #607
-#617 := [trans #280 #615]: #616
-#268 := [monotonicity #617]: #609
-#256 := [trans #268 #252]: #594
-#267 := [quant-inst]: #608
-#257 := [mp #267 #256]: #618
-#545 := [unit-resolution #257 #633]: #281
-#546 := [unit-resolution #545 #544]: #611
-#542 := (not #611)
-#547 := (or #542 #258)
-#536 := [th-lemma]: #547
-#537 := [unit-resolution #536 #546]: #258
-#259 := (>= #275 0::int)
-#538 := (or #542 #259)
-#539 := [th-lemma]: #538
-#533 := [unit-resolution #539 #546]: #259
-#563 := (<= #293 1::int)
-#540 := (or #448 #563)
-#524 := [th-lemma]: #540
-#525 := [unit-resolution #524 #455]: #563
-[th-lemma #458 #525 #533 #537]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,14 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_2 T1 Int)
-  (uf_3 T1)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (< (uf_2 uf_3) 3)
-:assumption (not (< (uf_2 (uf_1 (* 2 (uf_2 uf_3)))) 7))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,199 +0,0 @@
-#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)
-#297 := -1::int
-#633 := (* -1::int #28)
-#635 := (+ #26 #633)
-#278 := (>= #635 0::int)
-#291 := (= #635 0::int)
-#315 := (>= #26 0::int)
-#279 := (= #28 0::int)
-#627 := (not #279)
-#624 := (<= #28 0::int)
-#281 := (not #624)
-#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
-#618 := (or #281 #141)
-#265 := [th-lemma]: #618
-#266 := [unit-resolution #265 #152]: #281
-#625 := (or #627 #624)
-#628 := [th-lemma]: #625
-#614 := [unit-resolution #628 #266]: #627
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#649 := (pattern #12)
-#73 := (>= #10 0::int)
-#13 := (uf_2 #12)
-#18 := (= #13 0::int)
-#121 := (or #18 #73)
-#656 := (forall (vars (?x3 int)) (:pat #649) #121)
-#126 := (forall (vars (?x3 int)) #121)
-#659 := (iff #126 #656)
-#657 := (iff #121 #121)
-#658 := [refl]: #657
-#660 := [quant-intro #658]: #659
-#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
-#661 := [mp #172 #660]: #656
-#619 := (not #656)
-#620 := (or #619 #279 #315)
-#280 := (or #279 #315)
-#621 := (or #619 #280)
-#617 := (iff #621 #620)
-#623 := [rewrite]: #617
-#622 := [quant-inst]: #621
-#260 := [mp #622 #623]: #620
-#615 := [unit-resolution #260 #661 #614]: #315
-#316 := (not #315)
-#302 := (or #291 #316)
-#55 := (= #10 #13)
-#80 := (or #55 #74)
-#650 := (forall (vars (?x2 int)) (:pat #649) #80)
-#85 := (forall (vars (?x2 int)) #80)
-#653 := (iff #85 #650)
-#651 := (iff #80 #80)
-#652 := [refl]: #651
-#654 := [quant-intro #652]: #653
-#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
-#655 := [mp #169 #654]: #650
-#637 := (not #650)
-#638 := (or #637 #291 #316)
-#314 := (= #26 #28)
-#318 := (or #314 #316)
-#639 := (or #637 #318)
-#290 := (iff #639 #638)
-#640 := (or #637 #302)
-#294 := (iff #640 #638)
-#631 := [rewrite]: #294
-#630 := (iff #639 #640)
-#303 := (iff #318 #302)
-#422 := (iff #314 #291)
-#629 := [rewrite]: #422
-#636 := [monotonicity #629]: #303
-#289 := [monotonicity #636]: #630
-#632 := [trans #289 #631]: #290
-#634 := [quant-inst]: #639
-#274 := [mp #634 #632]: #638
-#322 := [unit-resolution #274 #655]: #302
-#337 := [unit-resolution #322 #615]: #291
-#338 := (not #291)
-#339 := (or #338 #278)
-#340 := [th-lemma]: #339
-#232 := [unit-resolution #340 #337]: #278
-[th-lemma #152 #232 #139]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_03	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,13 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_2 T1 Int)
-  (uf_3 T1)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (not (let (?x4 (uf_1 (+ 1 (uf_2 uf_3)))) (< (uf_2 (uf_1 (* 0 (uf_2 ?x4)))) (uf_2 (uf_1 (- (uf_2 ?x4) (uf_2 uf_3)))))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_03.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,367 +0,0 @@
-#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)
-#632 := (* -1::int #26)
-#636 := (+ #23 #632)
-#633 := (= #636 -1::int)
-#471 := (not #633)
-#613 := (<= #636 -1::int)
-#527 := (not #613)
-#145 := (* -1::int #23)
-#146 := (+ #145 #26)
-#149 := (uf_1 #146)
-#152 := (uf_2 #149)
-#504 := (+ #632 #152)
-#505 := (+ #23 #504)
-#573 := (>= #505 0::int)
-#502 := (= #505 0::int)
-#599 := (<= #636 0::int)
-#526 := [hypothesis]: #613
-#491 := (or #527 #599)
-#515 := [th-lemma]: #491
-#516 := [unit-resolution #515 #526]: #599
-#587 := (not #599)
-#578 := (or #502 #587)
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#673 := (pattern #12)
-#76 := (>= #10 0::int)
-#77 := (not #76)
-#13 := (uf_2 #12)
-#58 := (= #10 #13)
-#83 := (or #58 #77)
-#674 := (forall (vars (?x2 int)) (:pat #673) #83)
-#88 := (forall (vars (?x2 int)) #83)
-#677 := (iff #88 #674)
-#675 := (iff #83 #83)
-#676 := [refl]: #675
-#678 := [quant-intro #676]: #677
-#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
-#679 := [mp #193 #678]: #674
-#644 := (not #674)
-#591 := (or #644 #502 #587)
-#498 := (>= #146 0::int)
-#500 := (not #498)
-#501 := (= #146 #152)
-#494 := (or #501 #500)
-#592 := (or #644 #494)
-#579 := (iff #592 #591)
-#593 := (or #644 #578)
-#584 := (iff #593 #591)
-#585 := [rewrite]: #584
-#582 := (iff #592 #593)
-#580 := (iff #494 #578)
-#589 := (iff #500 #587)
-#596 := (iff #498 #599)
-#600 := [rewrite]: #596
-#581 := [monotonicity #600]: #589
-#503 := (iff #501 #502)
-#506 := [rewrite]: #503
-#590 := [monotonicity #506 #581]: #580
-#583 := [monotonicity #590]: #582
-#586 := [trans #583 #585]: #579
-#588 := [quant-inst]: #592
-#570 := [mp #588 #586]: #591
-#511 := [unit-resolution #570 #679]: #578
-#517 := [unit-resolution #511 #516]: #502
-#485 := (not #502)
-#492 := (or #485 #573)
-#451 := [th-lemma]: #492
-#482 := [unit-resolution #451 #517]: #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
-#651 := (<= #141 0::int)
-#662 := (= #141 0::int)
-#645 := (or #644 #662)
-#316 := (>= 0::int 0::int)
-#446 := (not #316)
-#328 := (= 0::int #141)
-#660 := (or #328 #446)
-#646 := (or #644 #660)
-#647 := (iff #646 #645)
-#648 := (iff #645 #645)
-#650 := [rewrite]: #648
-#642 := (iff #660 #662)
-#640 := (or #662 false)
-#305 := (iff #640 #662)
-#306 := [rewrite]: #305
-#303 := (iff #660 #640)
-#656 := (iff #446 false)
-#1 := true
-#654 := (not true)
-#655 := (iff #654 false)
-#315 := [rewrite]: #655
-#314 := (iff #446 #654)
-#658 := (iff #316 true)
-#664 := [rewrite]: #658
-#319 := [monotonicity #664]: #314
-#299 := [trans #319 #315]: #656
-#661 := (iff #328 #662)
-#663 := [rewrite]: #661
-#304 := [monotonicity #663 #299]: #303
-#643 := [trans #304 #306]: #642
-#285 := [monotonicity #643]: #647
-#290 := [trans #285 #650]: #647
-#641 := [quant-inst]: #646
-#291 := [mp #641 #290]: #645
-#484 := [unit-resolution #291 #679]: #662
-#486 := (not #662)
-#493 := (or #486 #651)
-#495 := [th-lemma]: #493
-#496 := [unit-resolution #495 #484]: #651
-#497 := (not #651)
-#507 := (or #554 #497 #161)
-#487 := [th-lemma]: #507
-#508 := [unit-resolution #487 #496 #176]: #554
-#463 := [th-lemma #508 #526 #482]: false
-#464 := [lemma #463]: #527
-#472 := (or #471 #613)
-#473 := [th-lemma]: #472
-#474 := [unit-resolution #473 #464]: #471
-#631 := (or #628 #633)
-#618 := (or #644 #628 #633)
-#634 := (>= #24 0::int)
-#635 := (not #634)
-#357 := (= #24 #26)
-#358 := (or #357 #635)
-#623 := (or #644 #358)
-#610 := (iff #623 #618)
-#619 := (or #644 #631)
-#467 := (iff #619 #618)
-#468 := [rewrite]: #467
-#625 := (iff #623 #619)
-#622 := (iff #358 #631)
-#626 := (or #633 #628)
-#620 := (iff #626 #631)
-#621 := [rewrite]: #620
-#630 := (iff #358 #626)
-#629 := (iff #635 #628)
-#349 := (iff #634 #348)
-#350 := [rewrite]: #349
-#344 := [monotonicity #350]: #629
-#637 := (iff #357 #633)
-#347 := [rewrite]: #637
-#627 := [monotonicity #347 #344]: #630
-#617 := [trans #627 #621]: #622
-#466 := [monotonicity #617]: #625
-#611 := [trans #466 #468]: #610
-#624 := [quant-inst]: #623
-#612 := [mp #624 #611]: #618
-#475 := [unit-resolution #612 #679]: #631
-#476 := [unit-resolution #475 #474]: #628
-#478 := (or #477 #348)
-#479 := [th-lemma]: #478
-#480 := [unit-resolution #479 #476]: #477
-#560 := (or #556 #558)
-#18 := (= #13 0::int)
-#124 := (or #18 #76)
-#680 := (forall (vars (?x3 int)) (:pat #673) #124)
-#129 := (forall (vars (?x3 int)) #124)
-#683 := (iff #129 #680)
-#681 := (iff #124 #124)
-#682 := [refl]: #681
-#684 := [quant-intro #682]: #683
-#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
-#685 := [mp #196 #684]: #680
-#604 := (not #680)
-#562 := (or #604 #556 #558)
-#559 := (or #558 #556)
-#540 := (or #604 #559)
-#542 := (iff #540 #562)
-#543 := (or #604 #560)
-#546 := (iff #543 #562)
-#547 := [rewrite]: #546
-#544 := (iff #540 #543)
-#561 := (iff #559 #560)
-#551 := [rewrite]: #561
-#545 := [monotonicity #551]: #544
-#548 := [trans #545 #547]: #542
-#541 := [quant-inst]: #540
-#534 := [mp #541 #548]: #562
-#465 := [unit-resolution #534 #685]: #560
-#481 := [unit-resolution #465 #480]: #558
-#443 := (= #23 #557)
-#337 := (= uf_3 #251)
-#4 := (:var 0 T1)
-#5 := (uf_2 #4)
-#665 := (pattern #5)
-#6 := (uf_1 #5)
-#51 := (= #4 #6)
-#666 := (forall (vars (?x1 T1)) (:pat #665) #51)
-#54 := (forall (vars (?x1 T1)) #51)
-#667 := (iff #54 #666)
-#669 := (iff #666 #666)
-#670 := [rewrite]: #669
-#668 := [rewrite]: #667
-#671 := [trans #668 #670]: #667
-#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
-#672 := [mp #190 #671]: #666
-#252 := (not #666)
-#342 := (or #252 #337)
-#339 := [quant-inst]: #342
-#442 := [unit-resolution #339 #672]: #337
-#450 := [monotonicity #442]: #443
-#452 := [trans #450 #481]: #469
-#453 := (not #469)
-#454 := (or #453 #556)
-#456 := [th-lemma]: #454
-[unit-resolution #456 #480 #452]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_04	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,13 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1 T2)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_2 T1 Int)
-  (uf_3 T1)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (not (let (?x4 (uf_1 (+ 1 (uf_2 uf_3)))) (flet ($x5 (if_then_else (< 0 (uf_2 ?x4)) true false)) (or (iff $x5 (= (uf_1 (- (uf_2 ?x4) 1)) uf_3)) $x5))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_04.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,302 +0,0 @@
-#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)
-#383 := (* -1::int #289)
-#542 := (+ #23 #383)
-#544 := (>= #542 0::int)
-#541 := (= #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
-#624 := [monotonicity #222]: #541
-#618 := (not #541)
-#625 := (or #618 #544)
-#609 := [th-lemma]: #625
-#610 := [unit-resolution #609 #624]: #544
-#698 := (* -1::int #26)
-#355 := (+ #23 #698)
-#324 := (<= #355 -1::int)
-#485 := (= #355 -1::int)
-#367 := (>= #23 -1::int)
-#533 := (>= #289 0::int)
-#643 := (= #289 0::int)
-#659 := (>= #26 1::int)
-#656 := (not #659)
-#612 := (or #656 #168)
-#613 := [th-lemma]: #612
-#614 := [unit-resolution #613 #188]: #656
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#712 := (pattern #12)
-#76 := (>= #10 0::int)
-#13 := (uf_2 #12)
-#18 := (= #13 0::int)
-#124 := (or #18 #76)
-#719 := (forall (vars (?x3 int)) (:pat #712) #124)
-#129 := (forall (vars (?x3 int)) #124)
-#722 := (iff #129 #719)
-#720 := (iff #124 #124)
-#721 := [refl]: #720
-#723 := [quant-intro #721]: #722
-#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
-#724 := [mp #231 #723]: #719
-#402 := (not #719)
-#528 := (or #402 #643 #659)
-#388 := (>= #139 0::int)
-#644 := (or #643 #388)
-#529 := (or #402 #644)
-#522 := (iff #529 #528)
-#642 := (or #643 #659)
-#636 := (or #402 #642)
-#634 := (iff #636 #528)
-#637 := [rewrite]: #634
-#538 := (iff #529 #636)
-#645 := (iff #644 #642)
-#660 := (iff #388 #659)
-#661 := [rewrite]: #660
-#527 := [monotonicity #661]: #645
-#633 := [monotonicity #527]: #538
-#537 := [trans #633 #637]: #522
-#488 := [quant-inst]: #529
-#539 := [mp #488 #537]: #528
-#615 := [unit-resolution #539 #724 #614]: #643
-#611 := (not #643)
-#616 := (or #611 #533)
-#602 := [th-lemma]: #616
-#603 := [unit-resolution #602 #615]: #533
-#606 := (not #544)
-#605 := (not #533)
-#607 := (or #367 #605 #606)
-#604 := [th-lemma]: #607
-#608 := [unit-resolution #604 #603 #610]: #367
-#701 := (not #367)
-#358 := (or #701 #485)
-#58 := (= #10 #13)
-#83 := (or #58 #77)
-#713 := (forall (vars (?x2 int)) (:pat #712) #83)
-#88 := (forall (vars (?x2 int)) #83)
-#716 := (iff #88 #713)
-#714 := (iff #83 #83)
-#715 := [refl]: #714
-#717 := [quant-intro #715]: #716
-#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
-#718 := [mp #226 #717]: #713
-#679 := (not #713)
-#342 := (or #679 #701 #485)
-#380 := (>= #24 0::int)
-#381 := (not #380)
-#361 := (= #24 #26)
-#696 := (or #361 #381)
-#343 := (or #679 #696)
-#685 := (iff #343 #342)
-#345 := (or #679 #358)
-#683 := (iff #345 #342)
-#684 := [rewrite]: #683
-#681 := (iff #343 #345)
-#695 := (iff #696 #358)
-#703 := (or #485 #701)
-#694 := (iff #703 #358)
-#354 := [rewrite]: #694
-#693 := (iff #696 #703)
-#702 := (iff #381 #701)
-#699 := (iff #380 #367)
-#700 := [rewrite]: #699
-#697 := [monotonicity #700]: #702
-#692 := (iff #361 #485)
-#366 := [rewrite]: #692
-#353 := [monotonicity #366 #697]: #693
-#338 := [trans #353 #354]: #695
-#682 := [monotonicity #338]: #681
-#680 := [trans #682 #684]: #685
-#344 := [quant-inst]: #343
-#686 := [mp #344 #680]: #342
-#588 := [unit-resolution #686 #718]: #358
-#589 := [unit-resolution #588 #608]: #485
-#591 := (not #485)
-#592 := (or #591 #324)
-#593 := [th-lemma]: #592
-#594 := [unit-resolution #593 #589]: #324
-[th-lemma #603 #188 #594 #610]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_05	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,13 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_2 T1 Int)
-  (uf_3 T1)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (not (distinct (uf_1 (+ (uf_2 uf_3) 1)) (uf_1 (+ (uf_2 (uf_1 (* (uf_2 uf_3) 2))) 3)) (uf_1 (- (uf_2 uf_3) (uf_2 uf_3)))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_05.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,525 +0,0 @@
-#2 := false
-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)
-#656 := (uf_2 #141)
-#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)
-#494 := (uf_2 #161)
-#288 := (= #494 #656)
-#266 := (= #161 #141)
-#249 := (= #141 #161)
-#9 := 0::int
-#166 := (uf_1 0::int)
-#251 := (= #161 #166)
-#337 := (not #251)
-#567 := (= #494 0::int)
-#543 := (uf_2 #166)
-#547 := (= #543 0::int)
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#673 := (pattern #12)
-#78 := (>= #10 0::int)
-#79 := (not #78)
-#13 := (uf_2 #12)
-#60 := (= #10 #13)
-#85 := (or #60 #79)
-#674 := (forall (vars (?x2 int)) (:pat #673) #85)
-#90 := (forall (vars (?x2 int)) #85)
-#677 := (iff #90 #674)
-#675 := (iff #85 #85)
-#676 := [refl]: #675
-#678 := [quant-intro #676]: #677
-#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
-#679 := [mp #192 #678]: #674
-#290 := (not #674)
-#519 := (or #290 #547)
-#540 := (>= 0::int 0::int)
-#541 := (not #540)
-#544 := (= 0::int #543)
-#545 := (or #544 #541)
-#520 := (or #290 #545)
-#521 := (iff #520 #519)
-#523 := (iff #519 #519)
-#526 := [rewrite]: #523
-#407 := (iff #545 #547)
-#533 := (or #547 false)
-#513 := (iff #533 #547)
-#514 := [rewrite]: #513
-#539 := (iff #545 #533)
-#537 := (iff #541 false)
-#1 := true
-#530 := (not true)
-#535 := (iff #530 false)
-#536 := [rewrite]: #535
-#531 := (iff #541 #530)
-#548 := (iff #540 true)
-#534 := [rewrite]: #548
-#532 := [monotonicity #534]: #531
-#538 := [trans #532 #536]: #537
-#546 := (iff #544 #547)
-#542 := [rewrite]: #546
-#512 := [monotonicity #542 #538]: #539
-#518 := [trans #512 #514]: #407
-#522 := [monotonicity #518]: #521
-#527 := [trans #522 #526]: #521
-#525 := [quant-inst]: #520
-#528 := [mp #525 #527]: #519
-#316 := [unit-resolution #528 #679]: #547
-#286 := (= #494 #543)
-#287 := [hypothesis]: #251
-#292 := [monotonicity #287]: #286
-#267 := [trans #292 #316]: #567
-#296 := (not #567)
-#551 := (<= #494 0::int)
-#300 := (not #551)
-#501 := (>= #150 0::int)
-#622 := (>= #144 0::int)
-#302 := -1::int
-#303 := (* -1::int #656)
-#304 := (+ #22 #303)
-#635 := (>= #304 -1::int)
-#305 := (= #304 -1::int)
-#644 := (>= #22 -1::int)
-#511 := (>= #22 0::int)
-#487 := (= #22 0::int)
-#660 := (uf_1 #22)
-#517 := (uf_2 #660)
-#485 := (= #517 0::int)
-#389 := (not #511)
-#390 := [hypothesis]: #389
-#492 := (or #485 #511)
-#18 := (= #13 0::int)
-#126 := (or #18 #78)
-#680 := (forall (vars (?x3 int)) (:pat #673) #126)
-#131 := (forall (vars (?x3 int)) #126)
-#683 := (iff #131 #680)
-#681 := (iff #126 #126)
-#682 := [refl]: #681
-#684 := [quant-intro #682]: #683
-#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
-#685 := [mp #195 #684]: #680
-#637 := (not #680)
-#484 := (or #637 #485 #511)
-#486 := (or #637 #492)
-#495 := (iff #486 #484)
-#496 := [rewrite]: #495
-#493 := [quant-inst]: #486
-#497 := [mp #493 #496]: #484
-#391 := [unit-resolution #497 #685]: #492
-#392 := [unit-resolution #391 #390]: #485
-#394 := (= #22 #517)
-#661 := (= uf_3 #660)
-#4 := (:var 0 T1)
-#5 := (uf_2 #4)
-#665 := (pattern #5)
-#6 := (uf_1 #5)
-#53 := (= #4 #6)
-#666 := (forall (vars (?x1 T1)) (:pat #665) #53)
-#56 := (forall (vars (?x1 T1)) #53)
-#667 := (iff #56 #666)
-#669 := (iff #666 #666)
-#670 := [rewrite]: #669
-#668 := [rewrite]: #667
-#671 := [trans #668 #670]: #667
-#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
-#672 := [mp #189 #671]: #666
-#658 := (not #666)
-#664 := (or #658 #661)
-#654 := [quant-inst]: #664
-#393 := [unit-resolution #654 #672]: #661
-#395 := [monotonicity #393]: #394
-#396 := [trans #395 #392]: #487
-#397 := (not #487)
-#398 := (or #397 #511)
-#399 := [th-lemma]: #398
-#388 := [unit-resolution #399 #390 #396]: false
-#400 := [lemma #388]: #511
-#366 := (or #389 #644)
-#367 := [th-lemma]: #366
-#352 := [unit-resolution #367 #400]: #644
-#641 := (not #644)
-#648 := (or #305 #641)
-#651 := (or #290 #305 #641)
-#313 := (>= #138 0::int)
-#318 := (not #313)
-#298 := (= #138 #656)
-#640 := (or #298 #318)
-#649 := (or #290 #640)
-#363 := (iff #649 #651)
-#638 := (or #290 #648)
-#361 := (iff #638 #651)
-#362 := [rewrite]: #361
-#639 := (iff #649 #638)
-#650 := (iff #640 #648)
-#647 := (iff #318 #641)
-#645 := (iff #313 #644)
-#646 := [rewrite]: #645
-#284 := [monotonicity #646]: #647
-#642 := (iff #298 #305)
-#643 := [rewrite]: #642
-#289 := [monotonicity #643 #284]: #650
-#346 := [monotonicity #289]: #639
-#364 := [trans #346 #362]: #363
-#652 := [quant-inst]: #649
-#257 := [mp #652 #364]: #651
-#424 := [unit-resolution #257 #679]: #648
-#353 := [unit-resolution #424 #352]: #305
-#439 := (not #305)
-#281 := (or #439 #635)
-#440 := [th-lemma]: #281
-#330 := [unit-resolution #440 #353]: #635
-#620 := (<= #656 0::int)
-#441 := (not #620)
-#634 := (<= #304 -1::int)
-#344 := (or #439 #634)
-#354 := [th-lemma]: #344
-#355 := [unit-resolution #354 #353]: #634
-#345 := (not #634)
-#356 := (or #441 #389 #345)
-#322 := [th-lemma]: #356
-#324 := [unit-resolution #322 #355 #400]: #441
-#432 := (not #635)
-#331 := (or #622 #432 #620)
-#319 := [th-lemma]: #331
-#320 := [unit-resolution #319 #324 #330]: #622
-#624 := (* -1::int #150)
-#619 := (+ #144 #624)
-#606 := (<= #619 0::int)
-#625 := (= #619 0::int)
-#617 := (not #622)
-#612 := (or #617 #625)
-#615 := (or #290 #617 #625)
-#618 := (= #144 #150)
-#623 := (or #618 #617)
-#609 := (or #290 #623)
-#604 := (iff #609 #615)
-#445 := (or #290 #612)
-#601 := (iff #445 #615)
-#602 := [rewrite]: #601
-#447 := (iff #609 #445)
-#608 := (iff #623 #612)
-#468 := (or #625 #617)
-#613 := (iff #468 #612)
-#607 := [rewrite]: #613
-#610 := (iff #623 #468)
-#466 := (iff #618 #625)
-#467 := [rewrite]: #466
-#611 := [monotonicity #467]: #610
-#614 := [trans #611 #607]: #608
-#448 := [monotonicity #614]: #447
-#605 := [trans #448 #602]: #604
-#616 := [quant-inst]: #609
-#603 := [mp #616 #605]: #615
-#480 := [unit-resolution #603 #679]: #612
-#299 := [unit-resolution #480 #320]: #625
-#406 := (not #625)
-#408 := (or #406 #606)
-#409 := [th-lemma]: #408
-#301 := [unit-resolution #409 #299]: #606
-#413 := (not #606)
-#306 := (or #501 #413 #617)
-#307 := [th-lemma]: #306
-#308 := [unit-resolution #307 #301 #320]: #501
-#506 := -3::int
-#504 := (* -1::int #494)
-#505 := (+ #150 #504)
-#564 := (<= #505 -3::int)
-#599 := (= #505 -3::int)
-#587 := (>= #150 -3::int)
-#417 := (or #587 #413 #617)
-#410 := [th-lemma]: #417
-#309 := [unit-resolution #410 #301 #320]: #587
-#578 := (not #587)
-#593 := (or #578 #599)
-#579 := (or #290 #578 #599)
-#449 := (>= #156 0::int)
-#597 := (not #449)
-#502 := (= #156 #494)
-#503 := (or #502 #597)
-#586 := (or #290 #503)
-#572 := (iff #586 #579)
-#571 := (or #290 #593)
-#575 := (iff #571 #579)
-#576 := [rewrite]: #575
-#573 := (iff #586 #571)
-#584 := (iff #503 #593)
-#591 := (or #599 #578)
-#582 := (iff #591 #593)
-#583 := [rewrite]: #582
-#592 := (iff #503 #591)
-#580 := (iff #597 #578)
-#589 := (iff #449 #587)
-#581 := [rewrite]: #589
-#590 := [monotonicity #581]: #580
-#596 := (iff #502 #599)
-#600 := [rewrite]: #596
-#588 := [monotonicity #600 #590]: #592
-#585 := [trans #588 #583]: #584
-#574 := [monotonicity #585]: #573
-#577 := [trans #574 #576]: #572
-#570 := [quant-inst]: #586
-#563 := [mp #570 #577]: #579
-#458 := [unit-resolution #563 #679]: #593
-#310 := [unit-resolution #458 #309]: #599
-#460 := (not #599)
-#461 := (or #460 #564)
-#444 := [th-lemma]: #461
-#311 := [unit-resolution #444 #310]: #564
-#434 := (not #564)
-#453 := (not #501)
-#312 := (or #300 #453 #434)
-#293 := [th-lemma]: #312
-#295 := [unit-resolution #293 #311 #308]: #300
-#294 := (or #296 #551)
-#297 := [th-lemma]: #294
-#285 := [unit-resolution #297 #295]: #296
-#271 := [unit-resolution #285 #267]: false
-#272 := [lemma #271]: #337
-#282 := (or #249 #251)
-#250 := (= #141 #166)
-#336 := (not #250)
-#357 := (= #656 0::int)
-#332 := (= #656 #543)
-#329 := [hypothesis]: #250
-#333 := [monotonicity #329]: #332
-#323 := [trans #333 #316]: #357
-#429 := (not #357)
-#430 := (or #429 #620)
-#428 := [th-lemma]: #430
-#325 := [unit-resolution #428 #324]: #429
-#334 := [unit-resolution #325 #323]: false
-#317 := [lemma #334]: #336
-#279 := (or #249 #250 #251)
-#335 := (not #249)
-#328 := (and #335 #336 #337)
-#339 := (not #328)
-#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)
-#327 := [def-axiom]: #326
-#277 := [unit-resolution #327 #177]: #339
-#659 := (or #328 #249 #250 #251)
-#315 := [def-axiom]: #659
-#280 := [unit-resolution #315 #277]: #279
-#278 := [unit-resolution #280 #317]: #282
-#283 := [unit-resolution #278 #272]: #249
-#269 := [symm #283]: #266
-#270 := [monotonicity #269]: #288
-#508 := (+ #494 #303)
-#473 := (<= #508 0::int)
-#433 := (not #473)
-#477 := [hypothesis]: #473
-#421 := (or #622 #433)
-#489 := (= #150 0::int)
-#478 := [hypothesis]: #617
-#490 := (or #489 #622)
-#499 := (or #637 #489 #622)
-#594 := (or #637 #490)
-#598 := (iff #594 #499)
-#483 := [rewrite]: #598
-#595 := [quant-inst]: #594
-#498 := [mp #595 #483]: #499
-#465 := [unit-resolution #498 #685]: #490
-#481 := [unit-resolution #465 #478]: #489
-#442 := (not #489)
-#443 := (or #442 #501)
-#450 := [th-lemma]: #443
-#452 := [unit-resolution #450 #481]: #501
-#454 := (or #453 #587)
-#456 := [th-lemma]: #454
-#457 := [unit-resolution #456 #452]: #587
-#459 := [unit-resolution #458 #457]: #599
-#462 := [unit-resolution #444 #459]: #564
-#435 := (or #432 #622 #433 #453 #434)
-#437 := [th-lemma]: #435
-#438 := [unit-resolution #437 #478 #452 #462 #477]: #432
-#436 := [unit-resolution #440 #438]: #439
-#420 := (or #441 #433 #453 #434)
-#423 := [th-lemma]: #420
-#427 := [unit-resolution #423 #452 #462 #477]: #441
-#431 := [unit-resolution #428 #427]: #429
-#632 := (or #357 #644)
-#347 := (or #637 #357 #644)
-#358 := (or #357 #313)
-#348 := (or #637 #358)
-#630 := (iff #348 #347)
-#350 := (or #637 #632)
-#343 := (iff #350 #347)
-#626 := [rewrite]: #343
-#628 := (iff #348 #350)
-#636 := (iff #358 #632)
-#633 := [monotonicity #646]: #636
-#629 := [monotonicity #633]: #628
-#627 := [trans #629 #626]: #630
-#349 := [quant-inst]: #348
-#631 := [mp #349 #627]: #347
-#419 := [unit-resolution #631 #685]: #632
-#422 := [unit-resolution #419 #431]: #644
-#425 := [unit-resolution #424 #422 #436]: false
-#426 := [lemma #425]: #421
-#479 := [unit-resolution #426 #477]: #622
-#416 := [unit-resolution #480 #479]: #625
-#412 := [unit-resolution #409 #416]: #606
-#418 := [unit-resolution #410 #412 #479]: #587
-#411 := [unit-resolution #458 #418]: #599
-#414 := [unit-resolution #444 #411]: #564
-#415 := (or #644 #617)
-#401 := [th-lemma]: #415
-#403 := [unit-resolution #401 #479]: #644
-#404 := [unit-resolution #424 #403]: #305
-#402 := [unit-resolution #440 #404]: #635
-#405 := [th-lemma #418 #402 #477 #414 #412]: false
-#387 := [lemma #405]: #433
-#273 := (not #288)
-#274 := (or #273 #473)
-#275 := [th-lemma]: #274
-[unit-resolution #275 #387 #270]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_06	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,13 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_2 T1 Int)
-  (uf_3 Int)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (not (= (uf_2 (uf_1 (ite (< uf_3 0) (~ uf_3) uf_3))) (ite (< uf_3 0) (~ uf_3) uf_3)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_06.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,161 +0,0 @@
-#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)
-#651 := (+ #131 #648)
-#657 := (<= #651 0::int)
-#341 := (= #131 #161)
-#155 := (not #154)
-#649 := (+ uf_3 #648)
-#650 := (<= #649 0::int)
-#254 := (= uf_3 #161)
-#646 := [hypothesis]: #154
-#255 := (or #155 #254)
-#342 := [def-axiom]: #255
-#652 := [unit-resolution #342 #646]: #254
-#290 := (not #254)
-#653 := (or #290 #650)
-#655 := [th-lemma]: #653
-#295 := [unit-resolution #655 #652]: #650
-#346 := (>= #161 0::int)
-#274 := (not #346)
-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)
-#678 := (pattern #12)
-#70 := (>= #10 0::int)
-#71 := (not #70)
-#13 := (uf_2 #12)
-#52 := (= #10 #13)
-#77 := (or #52 #71)
-#679 := (forall (vars (?x2 int)) (:pat #678) #77)
-#82 := (forall (vars (?x2 int)) #77)
-#682 := (iff #82 #679)
-#680 := (iff #77 #77)
-#681 := [refl]: #680
-#683 := [quant-intro #681]: #682
-#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
-#684 := [mp #197 #683]: #679
-#321 := (not #679)
-#451 := (or #321 #172 #274)
-#327 := (or #172 #274)
-#658 := (or #321 #327)
-#333 := (iff #658 #451)
-#665 := [rewrite]: #333
-#332 := [quant-inst]: #658
-#666 := [mp #332 #665]: #451
-#296 := [unit-resolution #666 #684 #180]: #274
-#656 := [th-lemma #646 #296 #295]: false
-#654 := [lemma #656]: #155
-#256 := (or #154 #341)
-#343 := [def-axiom]: #256
-#644 := [unit-resolution #343 #654]: #341
-#366 := (not #341)
-#367 := (or #366 #657)
-#368 := [th-lemma]: #367
-#369 := [unit-resolution #368 #644]: #657
-#647 := (<= #161 0::int)
-#262 := (or #647 #346)
-#639 := [th-lemma]: #262
-#640 := [unit-resolution #639 #296]: #647
-[th-lemma #654 #640 #369]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_07	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,19 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1 T2)
-:extrafuns (
-  (uf_1 Int T1)
-  (uf_2 T1 Int)
-  (uf_5 T1)
- )
-:extrapreds (
-  (up_3 T1)
-  (up_4 T1 T1)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1)) ?x1))
-:assumption (forall (?x2 Int) (implies (<= 0 ?x2) (= (uf_2 (uf_1 ?x2)) ?x2)))
-:assumption (forall (?x3 Int) (implies (< ?x3 0) (= (uf_2 (uf_1 ?x3)) 0)))
-:assumption (forall (?x4 T1) (iff (up_3 ?x4) (and (< 1 (uf_2 ?x4)) (forall (?x5 T1) (implies (up_4 ?x5 ?x4) (or (= ?x5 (uf_1 1)) (= ?x5 ?x4)))))))
-:assumption (up_3 (uf_1 (+ (uf_2 (uf_1 (* 4 (uf_2 uf_5)))) 1)))
-:assumption (not (<= 1 (uf_2 uf_5)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nat_arith_07.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,553 +0,0 @@
-#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)
-#549 := (= #40 0::int)
-#963 := (not #549)
-#537 := (<= #40 0::int)
-#958 := (not #537)
-#22 := 1::int
-#186 := (+ 1::int #40)
-#189 := (uf_1 #186)
-#524 := (uf_2 #189)
-#452 := (<= #524 1::int)
-#874 := (not #452)
-decl up_4 :: (-> T1 T1 bool)
-#4 := (:var 0 T1)
-#456 := (up_4 #4 #189)
-#440 := (pattern #456)
-#446 := (not #456)
-#455 := (= #4 #189)
-#26 := (uf_1 1::int)
-#27 := (= #4 #26)
-#434 := (or #27 #455 #446)
-#416 := (forall (vars (?x5 T1)) (:pat #440) #434)
-#417 := (not #416)
-#409 := (or #417 #452)
-#400 := (not #409)
-decl up_3 :: (-> T1 bool)
-#192 := (up_3 #189)
-#429 := (not #192)
-#405 := (or #429 #400)
-#389 := (not #405)
-decl ?x5!0 :: (-> T1 T1)
-#478 := (?x5!0 #189)
-#479 := (= #26 #478)
-#468 := (= #189 #478)
-#445 := (up_4 #478 #189)
-#447 := (not #445)
-#396 := (or #447 #468 #479)
-#391 := (not #396)
-#386 := (or #192 #391 #452)
-#377 := (not #386)
-#843 := (or #377 #389)
-#848 := (not #843)
-#5 := (uf_2 #4)
-#788 := (pattern #5)
-#21 := (up_3 #4)
-#836 := (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)
-#809 := (pattern #25)
-#28 := (= #4 #24)
-#147 := (not #25)
-#167 := (or #147 #27 #28)
-#810 := (forall (vars (?x5 T1)) (:pat #809) #167)
-#815 := (not #810)
-#818 := (or #163 #815)
-#821 := (not #818)
-#253 := (not #21)
-#824 := (or #253 #821)
-#827 := (not #824)
-#830 := (or #827 #304)
-#833 := (not #830)
-#837 := (forall (vars (?x4 T1)) (:pat #836 #788) #833)
-#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)
-#838 := (iff #311 #837)
-#834 := (iff #306 #833)
-#831 := (iff #305 #830)
-#828 := (iff #303 #827)
-#825 := (iff #215 #824)
-#822 := (iff #240 #821)
-#819 := (iff #239 #818)
-#816 := (iff #236 #815)
-#813 := (iff #170 #810)
-#811 := (iff #167 #167)
-#812 := [refl]: #811
-#814 := [quant-intro #812]: #813
-#817 := [monotonicity #814]: #816
-#820 := [monotonicity #817]: #819
-#823 := [monotonicity #820]: #822
-#826 := [monotonicity #823]: #825
-#829 := [monotonicity #826]: #828
-#832 := [monotonicity #829]: #831
-#835 := [monotonicity #832]: #834
-#839 := [quant-intro #835]: #838
-#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
-#840 := [mp #314 #839]: #837
-#754 := (not #837)
-#851 := (or #754 #848)
-#448 := (or #447 #479 #468)
-#439 := (not #448)
-#453 := (or #192 #452 #439)
-#454 := (not #453)
-#457 := (or #446 #27 #455)
-#442 := (forall (vars (?x5 T1)) (:pat #440) #457)
-#443 := (not #442)
-#422 := (or #452 #443)
-#424 := (not #422)
-#430 := (or #429 #424)
-#431 := (not #430)
-#432 := (or #431 #454)
-#433 := (not #432)
-#852 := (or #754 #433)
-#854 := (iff #852 #851)
-#856 := (iff #851 #851)
-#857 := [rewrite]: #856
-#849 := (iff #433 #848)
-#846 := (iff #432 #843)
-#379 := (or #389 #377)
-#844 := (iff #379 #843)
-#845 := [rewrite]: #844
-#841 := (iff #432 #379)
-#378 := (iff #454 #377)
-#388 := (iff #453 #386)
-#381 := (or #192 #452 #391)
-#387 := (iff #381 #386)
-#383 := [rewrite]: #387
-#382 := (iff #453 #381)
-#399 := (iff #439 #391)
-#397 := (iff #448 #396)
-#398 := [rewrite]: #397
-#384 := [monotonicity #398]: #399
-#385 := [monotonicity #384]: #382
-#375 := [trans #385 #383]: #388
-#376 := [monotonicity #375]: #378
-#392 := (iff #431 #389)
-#401 := (iff #430 #405)
-#402 := (iff #424 #400)
-#394 := (iff #422 #409)
-#410 := (or #452 #417)
-#415 := (iff #410 #409)
-#390 := [rewrite]: #415
-#411 := (iff #422 #410)
-#420 := (iff #443 #417)
-#418 := (iff #442 #416)
-#423 := (iff #457 #434)
-#435 := [rewrite]: #423
-#419 := [quant-intro #435]: #418
-#408 := [monotonicity #419]: #420
-#414 := [monotonicity #408]: #411
-#395 := [trans #414 #390]: #394
-#403 := [monotonicity #395]: #402
-#406 := [monotonicity #403]: #401
-#393 := [monotonicity #406]: #392
-#842 := [monotonicity #393 #376]: #841
-#847 := [trans #842 #845]: #846
-#850 := [monotonicity #847]: #849
-#855 := [monotonicity #850]: #854
-#858 := [trans #855 #857]: #854
-#853 := [quant-inst]: #852
-#859 := [mp #853 #858]: #851
-#934 := [unit-resolution #859 #840]: #848
-#893 := (or #843 #405)
-#894 := [def-axiom]: #893
-#935 := [unit-resolution #894 #934]: #405
-#938 := (or #389 #400)
-#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
-#889 := (or #389 #429 #400)
-#890 := [def-axiom]: #889
-#939 := [unit-resolution #890 #197]: #938
-#940 := [unit-resolution #939 #935]: #400
-#881 := (or #409 #874)
-#882 := [def-axiom]: #881
-#941 := [unit-resolution #882 #940]: #874
-#555 := -1::int
-#525 := (* -1::int #524)
-#528 := (+ #40 #525)
-#494 := (>= #528 -1::int)
-#510 := (= #528 -1::int)
-#514 := (>= #40 -1::int)
-#495 := (= #524 0::int)
-#946 := (not #495)
-#467 := (<= #524 0::int)
-#942 := (not #467)
-#943 := (or #942 #452)
-#944 := [th-lemma]: #943
-#945 := [unit-resolution #944 #941]: #942
-#947 := (or #946 #467)
-#948 := [th-lemma]: #947
-#949 := [unit-resolution #948 #945]: #946
-#498 := (or #495 #514)
-#10 := (:var 0 int)
-#12 := (uf_1 #10)
-#796 := (pattern #12)
-#87 := (>= #10 0::int)
-#13 := (uf_2 #12)
-#18 := (= #13 0::int)
-#135 := (or #18 #87)
-#803 := (forall (vars (?x3 int)) (:pat #796) #135)
-#140 := (forall (vars (?x3 int)) #135)
-#806 := (iff #140 #803)
-#804 := (iff #135 #135)
-#805 := [refl]: #804
-#807 := [quant-intro #805]: #806
-#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
-#808 := [mp #227 #807]: #803
-#532 := (not #803)
-#488 := (or #532 #495 #514)
-#529 := (>= #186 0::int)
-#496 := (or #495 #529)
-#489 := (or #532 #496)
-#474 := (iff #489 #488)
-#482 := (or #532 #498)
-#483 := (iff #482 #488)
-#493 := [rewrite]: #483
-#491 := (iff #489 #482)
-#497 := (iff #496 #498)
-#515 := (iff #529 #514)
-#516 := [rewrite]: #515
-#499 := [monotonicity #516]: #497
-#492 := [monotonicity #499]: #491
-#475 := [trans #492 #493]: #474
-#490 := [quant-inst]: #489
-#476 := [mp #490 #475]: #488
-#950 := [unit-resolution #476 #808]: #498
-#951 := [unit-resolution #950 #949]: #514
-#517 := (not #514)
-#520 := (or #510 #517)
-#69 := (= #10 #13)
-#94 := (or #69 #88)
-#797 := (forall (vars (?x2 int)) (:pat #796) #94)
-#99 := (forall (vars (?x2 int)) #94)
-#800 := (iff #99 #797)
-#798 := (iff #94 #94)
-#799 := [refl]: #798
-#801 := [quant-intro #799]: #800
-#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
-#802 := [mp #224 #801]: #797
-#559 := (not #797)
-#511 := (or #559 #510 #517)
-#531 := (not #529)
-#526 := (= #186 #524)
-#527 := (or #526 #531)
-#523 := (or #559 #527)
-#507 := (iff #523 #511)
-#502 := (or #559 #520)
-#505 := (iff #502 #511)
-#506 := [rewrite]: #505
-#503 := (iff #523 #502)
-#521 := (iff #527 #520)
-#518 := (iff #531 #517)
-#519 := [monotonicity #516]: #518
-#512 := (iff #526 #510)
-#513 := [rewrite]: #512
-#522 := [monotonicity #513 #519]: #521
-#504 := [monotonicity #522]: #503
-#508 := [trans #504 #506]: #507
-#500 := [quant-inst]: #523
-#501 := [mp #500 #508]: #511
-#952 := [unit-resolution #501 #802]: #520
-#953 := [unit-resolution #952 #951]: #510
-#954 := (not #510)
-#955 := (or #954 #494)
-#956 := [th-lemma]: #955
-#957 := [unit-resolution #956 #953]: #494
-#959 := (not #494)
-#960 := (or #958 #452 #959)
-#961 := [th-lemma]: #960
-#962 := [unit-resolution #961 #957 #941]: #958
-#964 := (or #963 #537)
-#965 := [th-lemma]: #964
-#966 := [unit-resolution #965 #962]: #963
-#583 := (>= #38 0::int)
-#584 := (not #583)
-#556 := (* -1::int #40)
-#557 := (+ #38 #556)
-#558 := (= #557 0::int)
-#971 := (not #558)
-#544 := (>= #557 0::int)
-#967 := (not #544)
-#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
-#968 := (or #967 #201 #452 #959)
-#969 := [th-lemma]: #968
-#970 := [unit-resolution #969 #205 #957 #941]: #967
-#972 := (or #971 #544)
-#973 := [th-lemma]: #972
-#974 := [unit-resolution #973 #970]: #971
-#562 := (or #558 #584)
-#564 := (or #559 #558 #584)
-#567 := (= #38 #40)
-#585 := (or #567 #584)
-#543 := (or #559 #585)
-#542 := (iff #543 #564)
-#550 := (or #559 #562)
-#551 := (iff #550 #564)
-#554 := [rewrite]: #551
-#552 := (iff #543 #550)
-#404 := (iff #585 #562)
-#560 := (iff #567 #558)
-#561 := [rewrite]: #560
-#563 := [monotonicity #561]: #404
-#553 := [monotonicity #563]: #552
-#545 := [trans #553 #554]: #542
-#546 := [quant-inst]: #543
-#547 := [mp #546 #545]: #564
-#975 := [unit-resolution #547 #802]: #562
-#976 := [unit-resolution #975 #974]: #584
-#539 := (or #549 #583)
-#535 := (or #532 #549 #583)
-#536 := (or #532 #539)
-#533 := (iff #536 #535)
-#541 := [rewrite]: #533
-#540 := [quant-inst]: #536
-#534 := [mp #540 #541]: #535
-#977 := [unit-resolution #534 #808]: #539
-[unit-resolution #977 #976 #966]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_nlarith_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,10 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Int)
-  (uf_2 Int)
- )
-:assumption (< 0 uf_1)
-:assumption (< 0 (* uf_1 uf_2))
-:assumption (not (< 0 uf_2))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nlarith_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_nlarith_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,9 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Int)
-  (uf_2 Int)
-  (uf_3 Int)
- )
-:assumption (not (= (* uf_1 (+ (+ uf_2 1) uf_3)) (+ (* uf_1 uf_2) (* uf_1 (+ uf_3 1)))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nlarith_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,75 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_nlarith_03	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Real)
-  (uf_2 Real)
- )
-:assumption (not (= (- (* uf_1 (+ 1.0 uf_2)) (* uf_1 (- 1.0 uf_2))) (* (* 2.0 uf_1) uf_2)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nlarith_03.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,62 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_nlarith_04	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,11 +0,0 @@
-(benchmark Isabelle
-:extrafuns (
-  (uf_1 Int)
-  (uf_3 Int)
-  (uf_5 Int)
-  (uf_4 Int)
-  (uf_2 Int)
- )
-:assumption (not (= (+ (+ uf_1 (* (+ 1 uf_2) (+ uf_3 uf_4))) (* uf_2 uf_5)) (- (+ uf_1 (+ (+ (* (* 2 (+ 1 uf_2)) (+ uf_3 uf_4)) (* (+ 1 uf_2) uf_5)) (* uf_5 uf_2))) (* (+ 1 uf_2) (+ (+ uf_3 uf_5) uf_4)))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_nlarith_04.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,141 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_pair_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,17 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T3 T1)
-:extrafuns (
-  (uf_2 T1 T2)
-  (uf_3 T1 T3)
-  (uf_1 T2 T3 T1)
-  (uf_6 T2)
-  (uf_4 T2)
-  (uf_5 T3)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1) (uf_3 ?x1)) ?x1))
-:assumption (forall (?x2 T2) (?x3 T3) (= (uf_3 (uf_1 ?x2 ?x3)) ?x3))
-:assumption (forall (?x4 T2) (?x5 T3) (= (uf_2 (uf_1 ?x4 ?x5)) ?x4))
-:assumption (= (uf_2 (uf_1 uf_4 uf_5)) uf_6)
-:assumption (not (= uf_4 uf_6))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_pair_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,50 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_pair_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,24 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T2 T3 T1 T4)
-:extrafuns (
-  (uf_2 T1 T2)
-  (uf_5 T4 T3)
-  (uf_3 T1 T3)
-  (uf_6 T4 T2)
-  (uf_1 T2 T3 T1)
-  (uf_4 T3 T2 T4)
-  (uf_8 T2)
-  (uf_9 T3)
-  (uf_7 T1)
-  (uf_10 T4)
- )
-:assumption (forall (?x1 T1) (= (uf_1 (uf_2 ?x1) (uf_3 ?x1)) ?x1))
-:assumption (forall (?x2 T4) (= (uf_4 (uf_5 ?x2) (uf_6 ?x2)) ?x2))
-:assumption (forall (?x3 T2) (?x4 T3) (= (uf_3 (uf_1 ?x3 ?x4)) ?x4))
-:assumption (forall (?x5 T3) (?x6 T2) (= (uf_6 (uf_4 ?x5 ?x6)) ?x6))
-:assumption (forall (?x7 T2) (?x8 T3) (= (uf_2 (uf_1 ?x7 ?x8)) ?x7))
-:assumption (forall (?x9 T3) (?x10 T2) (= (uf_5 (uf_4 ?x9 ?x10)) ?x9))
-:assumption (and (= uf_7 (uf_1 uf_8 uf_9)) (= uf_10 (uf_4 uf_9 uf_8)))
-:assumption (not (= (uf_2 uf_7) (uf_6 uf_10)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_pair_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,105 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_prop_01	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,4 +0,0 @@
-(benchmark Isabelle
-:assumption (not true)
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_prop_01.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-#2 := false
-#1 := true
-#4 := (not true)
-#21 := (iff #4 false)
-#22 := [rewrite]: #21
-#20 := [asserted]: #4
-[mp #20 #22]: false
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_prop_02	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrapreds (
-  (up_1)
- )
-:assumption (not (or up_1 (not up_1)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_prop_02.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,19 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_prop_03	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrapreds (
-  (up_1)
- )
-:assumption (not (iff (and up_1 true) up_1))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_prop_03.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,25 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_prop_04	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,10 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrapreds (
-  (up_1)
-  (up_2)
- )
-:assumption (and (or up_1 up_2) (not up_1))
-:assumption (not up_2)
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_prop_04.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,38 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_prop_05	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,12 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrapreds (
-  (up_1)
-  (up_2)
-  (up_3)
-  (up_4)
- )
-:assumption (or (and up_1 up_2) (and up_3 up_4))
-:assumption (not (or (and up_1 up_2) (and up_3 up_4)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_prop_05.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1 +0,0 @@
-unsat

--- a/src/HOL/SMT/Examples/cert/z3_prop_06	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,10 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrapreds (
-  (up_1)
-  (up_2)
-  (up_3)
- )
-:assumption (not (implies (or (and up_1 up_2) up_3) (or (implies up_1 (or (and up_3 up_2) (and up_1 up_3))) up_1)))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_prop_06.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,71 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_prop_07	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,8 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrapreds (
-  (up_1)
- )
-:assumption (not (iff (iff (iff (iff (iff (iff (iff (iff (iff up_1 up_1) up_1) up_1) up_1) up_1) up_1) up_1) up_1) up_1))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_prop_07.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,57 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_prop_08	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,22 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrapreds (
-  (up_1)
-  (up_2)
-  (up_3)
-  (up_4)
-  (up_5)
-  (up_6)
-  (up_8)
-  (up_9)
-  (up_7)
- )
-:assumption (or up_1 (or up_2 (or up_3 up_4)))
-:assumption (or up_5 (or up_6 (and up_1 up_4)))
-:assumption (or (not (or up_1 (and up_3 (not up_3)))) up_2)
-:assumption (or (not (and up_2 (or up_7 (not up_7)))) up_3)
-:assumption (or (not (or up_4 false)) up_3)
-:assumption (not (or up_3 (and (not up_8) (or up_8 (and up_9 (not up_9))))))
-:assumption (not false)
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_prop_08.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,194 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_prop_09	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,11 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrafuns (
-  (uf_1 T1 T1 T1)
-  (uf_2 T1)
-  (uf_3 T1)
- )
-:assumption (forall (?x1 T1) (?x2 T1) (= (uf_1 ?x1 ?x2) (uf_1 ?x2 ?x1)))
-:assumption (not (and (= uf_2 uf_2) (= (uf_1 uf_2 uf_3) (uf_1 uf_3 uf_2))))
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_prop_09.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,52 +0,0 @@
-#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

--- a/src/HOL/SMT/Examples/cert/z3_prop_10	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,251 +0,0 @@
-(benchmark Isabelle
-:extrasorts ( T1)
-:extrapreds (
-  (up_1)
-  (up_5)
-  (up_7)
-  (up_9)
-  (up_11)
-  (up_14)
-  (up_16)
-  (up_18)
-  (up_20)
-  (up_22)
-  (up_25)
-  (up_27)
-  (up_29)
-  (up_31)
-  (up_33)
-  (up_36)
-  (up_38)
-  (up_40)
-  (up_42)
-  (up_44)
-  (up_47)
-  (up_49)
-  (up_51)
-  (up_53)
-  (up_55)
-  (up_57)
-  (up_58)
-  (up_59)
-  (up_60)
-  (up_3)
-  (up_2)
-  (up_6)
-  (up_8)
-  (up_10)
-  (up_12)
-  (up_13)
-  (up_15)
-  (up_17)
-  (up_19)
-  (up_21)
-  (up_23)
-  (up_24)
-  (up_26)
-  (up_28)
-  (up_30)
-  (up_32)
-  (up_34)
-  (up_35)
-  (up_37)
-  (up_39)
-  (up_41)
-  (up_43)
-  (up_45)
-  (up_46)
-  (up_48)
-  (up_50)
-  (up_52)
-  (up_54)
-  (up_56)
-  (up_4)
- )
-:assumption (not up_1)
-:assumption (not up_2)
-:assumption (not up_3)
-:assumption (not up_4)
-:assumption (or up_5 (or up_6 up_1))
-:assumption (or up_7 (or up_8 up_5))
-:assumption (or up_9 (or up_10 up_7))
-:assumption (or up_11 (or up_12 up_9))
-:assumption (or up_13 up_11)
-:assumption (or up_14 (or up_15 up_2))
-:assumption (or up_16 (or up_17 (or up_14 up_6)))
-:assumption (or up_18 (or up_19 (or up_16 up_8)))
-:assumption (or up_20 (or up_21 (or up_18 up_10)))
-:assumption (or up_22 (or up_23 (or up_20 up_12)))
-:assumption (or up_24 (or up_22 up_13))
-:assumption (or up_25 (or up_26 up_15))
-:assumption (or up_27 (or up_28 (or up_25 up_17)))
-:assumption (or up_29 (or up_30 (or up_27 up_19)))
-:assumption (or up_31 (or up_32 (or up_29 up_21)))
-:assumption (or up_33 (or up_34 (or up_31 up_23)))
-:assumption (or up_35 (or up_33 up_24))
-:assumption (or up_36 (or up_37 up_26))
-:assumption (or up_38 (or up_39 (or up_36 up_28)))
-:assumption (or up_40 (or up_41 (or up_38 up_30)))
-:assumption (or up_42 (or up_43 (or up_40 up_32)))
-:assumption (or up_44 (or up_45 (or up_42 up_34)))
-:assumption (or up_46 (or up_44 up_35))
-:assumption (or up_47 (or up_48 up_37))
-:assumption (or up_49 (or up_50 (or up_47 up_39)))
-:assumption (or up_51 (or up_52 (or up_49 up_41)))
-:assumption (or up_53 (or up_54 (or up_51 up_43)))
-:assumption (or up_55 (or up_56 (or up_53 up_45)))
-:assumption (or up_4 (or up_55 up_46))
-:assumption (or up_57 up_48)
-:assumption (or up_58 (or up_57 up_50))
-:assumption (or up_59 (or up_58 up_52))
-:assumption (or up_60 (or up_59 up_54))
-:assumption (or up_3 (or up_60 up_56))
-:assumption (or (not up_5) (not up_6))
-:assumption (or (not up_5) (not up_1))
-:assumption (or (not up_6) (not up_1))
-:assumption (or (not up_7) (not up_8))
-:assumption (or (not up_7) (not up_5))
-:assumption (or (not up_8) (not up_5))
-:assumption (or (not up_9) (not up_10))
-:assumption (or (not up_9) (not up_7))
-:assumption (or (not up_10) (not up_7))
-:assumption (or (not up_11) (not up_12))
-:assumption (or (not up_11) (not up_9))
-:assumption (or (not up_12) (not up_9))
-:assumption (or (not up_13) (not up_11))
-:assumption (or (not up_14) (not up_15))
-:assumption (or (not up_14) (not up_2))
-:assumption (or (not up_15) (not up_2))
-:assumption (or (not up_16) (not up_17))
-:assumption (or (not up_16) (not up_14))
-:assumption (or (not up_16) (not up_6))
-:assumption (or (not up_17) (not up_14))
-:assumption (or (not up_17) (not up_6))
-:assumption (or (not up_14) (not up_6))
-:assumption (or (not up_18) (not up_19))
-:assumption (or (not up_18) (not up_16))
-:assumption (or (not up_18) (not up_8))
-:assumption (or (not up_19) (not up_16))
-:assumption (or (not up_19) (not up_8))
-:assumption (or (not up_16) (not up_8))
-:assumption (or (not up_20) (not up_21))
-:assumption (or (not up_20) (not up_18))
-:assumption (or (not up_20) (not up_10))
-:assumption (or (not up_21) (not up_18))
-:assumption (or (not up_21) (not up_10))
-:assumption (or (not up_18) (not up_10))
-:assumption (or (not up_22) (not up_23))
-:assumption (or (not up_22) (not up_20))
-:assumption (or (not up_22) (not up_12))
-:assumption (or (not up_23) (not up_20))
-:assumption (or (not up_23) (not up_12))
-:assumption (or (not up_20) (not up_12))
-:assumption (or (not up_24) (not up_22))
-:assumption (or (not up_24) (not up_13))
-:assumption (or (not up_22) (not up_13))
-:assumption (or (not up_25) (not up_26))
-:assumption (or (not up_25) (not up_15))
-:assumption (or (not up_26) (not up_15))
-:assumption (or (not up_27) (not up_28))
-:assumption (or (not up_27) (not up_25))
-:assumption (or (not up_27) (not up_17))
-:assumption (or (not up_28) (not up_25))
-:assumption (or (not up_28) (not up_17))
-:assumption (or (not up_25) (not up_17))
-:assumption (or (not up_29) (not up_30))
-:assumption (or (not up_29) (not up_27))
-:assumption (or (not up_29) (not up_19))
-:assumption (or (not up_30) (not up_27))
-:assumption (or (not up_30) (not up_19))
-:assumption (or (not up_27) (not up_19))
-:assumption (or (not up_31) (not up_32))
-:assumption (or (not up_31) (not up_29))
-:assumption (or (not up_31) (not up_21))
-:assumption (or (not up_32) (not up_29))
-:assumption (or (not up_32) (not up_21))
-:assumption (or (not up_29) (not up_21))
-:assumption (or (not up_33) (not up_34))
-:assumption (or (not up_33) (not up_31))
-:assumption (or (not up_33) (not up_23))
-:assumption (or (not up_34) (not up_31))
-:assumption (or (not up_34) (not up_23))
-:assumption (or (not up_31) (not up_23))
-:assumption (or (not up_35) (not up_33))
-:assumption (or (not up_35) (not up_24))
-:assumption (or (not up_33) (not up_24))
-:assumption (or (not up_36) (not up_37))
-:assumption (or (not up_36) (not up_26))
-:assumption (or (not up_37) (not up_26))
-:assumption (or (not up_38) (not up_39))
-:assumption (or (not up_38) (not up_36))
-:assumption (or (not up_38) (not up_28))
-:assumption (or (not up_39) (not up_36))
-:assumption (or (not up_39) (not up_28))
-:assumption (or (not up_36) (not up_28))
-:assumption (or (not up_40) (not up_41))
-:assumption (or (not up_40) (not up_38))
-:assumption (or (not up_40) (not up_30))
-:assumption (or (not up_41) (not up_38))
-:assumption (or (not up_41) (not up_30))
-:assumption (or (not up_38) (not up_30))
-:assumption (or (not up_42) (not up_43))
-:assumption (or (not up_42) (not up_40))
-:assumption (or (not up_42) (not up_32))
-:assumption (or (not up_43) (not up_40))
-:assumption (or (not up_43) (not up_32))
-:assumption (or (not up_40) (not up_32))
-:assumption (or (not up_44) (not up_45))
-:assumption (or (not up_44) (not up_42))
-:assumption (or (not up_44) (not up_34))
-:assumption (or (not up_45) (not up_42))
-:assumption (or (not up_45) (not up_34))
-:assumption (or (not up_42) (not up_34))
-:assumption (or (not up_46) (not up_44))
-:assumption (or (not up_46) (not up_35))
-:assumption (or (not up_44) (not up_35))
-:assumption (or (not up_47) (not up_48))
-:assumption (or (not up_47) (not up_37))
-:assumption (or (not up_48) (not up_37))
-:assumption (or (not up_49) (not up_50))
-:assumption (or (not up_49) (not up_47))
-:assumption (or (not up_49) (not up_39))
-:assumption (or (not up_50) (not up_47))
-:assumption (or (not up_50) (not up_39))
-:assumption (or (not up_47) (not up_39))
-:assumption (or (not up_51) (not up_52))
-:assumption (or (not up_51) (not up_49))
-:assumption (or (not up_51) (not up_41))
-:assumption (or (not up_52) (not up_49))
-:assumption (or (not up_52) (not up_41))
-:assumption (or (not up_49) (not up_41))
-:assumption (or (not up_53) (not up_54))
-:assumption (or (not up_53) (not up_51))
-:assumption (or (not up_53) (not up_43))
-:assumption (or (not up_54) (not up_51))
-:assumption (or (not up_54) (not up_43))
-:assumption (or (not up_51) (not up_43))
-:assumption (or (not up_55) (not up_56))
-:assumption (or (not up_55) (not up_53))
-:assumption (or (not up_55) (not up_45))
-:assumption (or (not up_56) (not up_53))
-:assumption (or (not up_56) (not up_45))
-:assumption (or (not up_53) (not up_45))
-:assumption (or (not up_4) (not up_55))
-:assumption (or (not up_4) (not up_46))
-:assumption (or (not up_55) (not up_46))
-:assumption (or (not up_57) (not up_48))
-:assumption (or (not up_58) (not up_57))
-:assumption (or (not up_58) (not up_50))
-:assumption (or (not up_57) (not up_50))
-:assumption (or (not up_59) (not up_58))
-:assumption (or (not up_59) (not up_52))
-:assumption (or (not up_58) (not up_52))
-:assumption (or (not up_60) (not up_59))
-:assumption (or (not up_60) (not up_54))
-:assumption (or (not up_59) (not up_54))
-:assumption (or (not up_3) (not up_60))
-:assumption (or (not up_3) (not up_56))
-:assumption (or (not up_60) (not up_56))
-:assumption (not false)
-:formula true
-)

--- a/src/HOL/SMT/Examples/cert/z3_prop_10.proof	Tue Feb 02 18:11:21 2010 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,1667 +0,0 @@
-#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