1.1 --- /dev/null Thu Jan 01 00:00:00 1970 +0000
1.2 +++ b/src/HOL/Multivariate_Analysis/Integration.cert Wed Feb 17 18:33:45 2010 +0100
1.3 @@ -0,0 +1,3270 @@
1.4 +tB2Atlor9W4pSnrAz5nHpw 907 0
1.5 +#2 := false
1.6 +#299 := 0::real
1.7 +decl uf_1 :: (-> T3 T2 real)
1.8 +decl uf_10 :: (-> T4 T2)
1.9 +decl uf_7 :: T4
1.10 +#15 := uf_7
1.11 +#22 := (uf_10 uf_7)
1.12 +decl uf_2 :: (-> T1 T3)
1.13 +decl uf_4 :: T1
1.14 +#11 := uf_4
1.15 +#91 := (uf_2 uf_4)
1.16 +#902 := (uf_1 #91 #22)
1.17 +#297 := -1::real
1.18 +#1084 := (* -1::real #902)
1.19 +decl uf_16 :: T1
1.20 +#50 := uf_16
1.21 +#78 := (uf_2 uf_16)
1.22 +#799 := (uf_1 #78 #22)
1.23 +#1267 := (+ #799 #1084)
1.24 +#1272 := (>= #1267 0::real)
1.25 +#1266 := (= #799 #902)
1.26 +decl uf_9 :: T3
1.27 +#21 := uf_9
1.28 +#23 := (uf_1 uf_9 #22)
1.29 +#905 := (= #23 #902)
1.30 +decl uf_11 :: T3
1.31 +#24 := uf_11
1.32 +#850 := (uf_1 uf_11 #22)
1.33 +#904 := (= #850 #902)
1.34 +decl uf_6 :: (-> T2 T4)
1.35 +#74 := (uf_6 #22)
1.36 +#281 := (= uf_7 #74)
1.37 +#922 := (ite #281 #905 #904)
1.38 +decl uf_8 :: T3
1.39 +#18 := uf_8
1.40 +#848 := (uf_1 uf_8 #22)
1.41 +#903 := (= #848 #902)
1.42 +#60 := 0::int
1.43 +decl uf_5 :: (-> T4 int)
1.44 +#803 := (uf_5 #74)
1.45 +#117 := -1::int
1.46 +#813 := (* -1::int #803)
1.47 +#16 := (uf_5 uf_7)
1.48 +#916 := (+ #16 #813)
1.49 +#917 := (<= #916 0::int)
1.50 +#925 := (ite #917 #922 #903)
1.51 +#6 := (:var 0 T2)
1.52 +#19 := (uf_1 uf_8 #6)
1.53 +#544 := (pattern #19)
1.54 +#25 := (uf_1 uf_11 #6)
1.55 +#543 := (pattern #25)
1.56 +#92 := (uf_1 #91 #6)
1.57 +#542 := (pattern #92)
1.58 +#13 := (uf_6 #6)
1.59 +#541 := (pattern #13)
1.60 +#447 := (= #19 #92)
1.61 +#445 := (= #25 #92)
1.62 +#444 := (= #23 #92)
1.63 +#20 := (= #13 uf_7)
1.64 +#446 := (ite #20 #444 #445)
1.65 +#120 := (* -1::int #16)
1.66 +#14 := (uf_5 #13)
1.67 +#121 := (+ #14 #120)
1.68 +#119 := (>= #121 0::int)
1.69 +#448 := (ite #119 #446 #447)
1.70 +#545 := (forall (vars (?x3 T2)) (:pat #541 #542 #543 #544) #448)
1.71 +#451 := (forall (vars (?x3 T2)) #448)
1.72 +#548 := (iff #451 #545)
1.73 +#546 := (iff #448 #448)
1.74 +#547 := [refl]: #546
1.75 +#549 := [quant-intro #547]: #548
1.76 +#26 := (ite #20 #23 #25)
1.77 +#127 := (ite #119 #26 #19)
1.78 +#368 := (= #92 #127)
1.79 +#369 := (forall (vars (?x3 T2)) #368)
1.80 +#452 := (iff #369 #451)
1.81 +#449 := (iff #368 #448)
1.82 +#450 := [rewrite]: #449
1.83 +#453 := [quant-intro #450]: #452
1.84 +#392 := (~ #369 #369)
1.85 +#390 := (~ #368 #368)
1.86 +#391 := [refl]: #390
1.87 +#366 := [nnf-pos #391]: #392
1.88 +decl uf_3 :: (-> T1 T2 real)
1.89 +#12 := (uf_3 uf_4 #6)
1.90 +#132 := (= #12 #127)
1.91 +#135 := (forall (vars (?x3 T2)) #132)
1.92 +#370 := (iff #135 #369)
1.93 +#4 := (:var 1 T1)
1.94 +#8 := (uf_3 #4 #6)
1.95 +#5 := (uf_2 #4)
1.96 +#7 := (uf_1 #5 #6)
1.97 +#9 := (= #7 #8)
1.98 +#10 := (forall (vars (?x1 T1) (?x2 T2)) #9)
1.99 +#113 := [asserted]: #10
1.100 +#371 := [rewrite* #113]: #370
1.101 +#17 := (< #14 #16)
1.102 +#27 := (ite #17 #19 #26)
1.103 +#28 := (= #12 #27)
1.104 +#29 := (forall (vars (?x3 T2)) #28)
1.105 +#136 := (iff #29 #135)
1.106 +#133 := (iff #28 #132)
1.107 +#130 := (= #27 #127)
1.108 +#118 := (not #119)
1.109 +#124 := (ite #118 #19 #26)
1.110 +#128 := (= #124 #127)
1.111 +#129 := [rewrite]: #128
1.112 +#125 := (= #27 #124)
1.113 +#122 := (iff #17 #118)
1.114 +#123 := [rewrite]: #122
1.115 +#126 := [monotonicity #123]: #125
1.116 +#131 := [trans #126 #129]: #130
1.117 +#134 := [monotonicity #131]: #133
1.118 +#137 := [quant-intro #134]: #136
1.119 +#114 := [asserted]: #29
1.120 +#138 := [mp #114 #137]: #135
1.121 +#372 := [mp #138 #371]: #369
1.122 +#367 := [mp~ #372 #366]: #369
1.123 +#454 := [mp #367 #453]: #451
1.124 +#550 := [mp #454 #549]: #545
1.125 +#738 := (not #545)
1.126 +#928 := (or #738 #925)
1.127 +#75 := (= #74 uf_7)
1.128 +#906 := (ite #75 #905 #904)
1.129 +#907 := (+ #803 #120)
1.130 +#908 := (>= #907 0::int)
1.131 +#909 := (ite #908 #906 #903)
1.132 +#929 := (or #738 #909)
1.133 +#931 := (iff #929 #928)
1.134 +#933 := (iff #928 #928)
1.135 +#934 := [rewrite]: #933
1.136 +#926 := (iff #909 #925)
1.137 +#923 := (iff #906 #922)
1.138 +#283 := (iff #75 #281)
1.139 +#284 := [rewrite]: #283
1.140 +#924 := [monotonicity #284]: #923
1.141 +#920 := (iff #908 #917)
1.142 +#910 := (+ #120 #803)
1.143 +#913 := (>= #910 0::int)
1.144 +#918 := (iff #913 #917)
1.145 +#919 := [rewrite]: #918
1.146 +#914 := (iff #908 #913)
1.147 +#911 := (= #907 #910)
1.148 +#912 := [rewrite]: #911
1.149 +#915 := [monotonicity #912]: #914
1.150 +#921 := [trans #915 #919]: #920
1.151 +#927 := [monotonicity #921 #924]: #926
1.152 +#932 := [monotonicity #927]: #931
1.153 +#935 := [trans #932 #934]: #931
1.154 +#930 := [quant-inst]: #929
1.155 +#936 := [mp #930 #935]: #928
1.156 +#1300 := [unit-resolution #936 #550]: #925
1.157 +#989 := (= #16 #803)
1.158 +#1277 := (= #803 #16)
1.159 +#280 := [asserted]: #75
1.160 +#287 := [mp #280 #284]: #281
1.161 +#1276 := [symm #287]: #75
1.162 +#1278 := [monotonicity #1276]: #1277
1.163 +#1301 := [symm #1278]: #989
1.164 +#1302 := (not #989)
1.165 +#1303 := (or #1302 #917)
1.166 +#1304 := [th-lemma]: #1303
1.167 +#1305 := [unit-resolution #1304 #1301]: #917
1.168 +#950 := (not #917)
1.169 +#949 := (not #925)
1.170 +#951 := (or #949 #950 #922)
1.171 +#952 := [def-axiom]: #951
1.172 +#1306 := [unit-resolution #952 #1305 #1300]: #922
1.173 +#937 := (not #922)
1.174 +#1307 := (or #937 #905)
1.175 +#938 := (not #281)
1.176 +#939 := (or #937 #938 #905)
1.177 +#940 := [def-axiom]: #939
1.178 +#1308 := [unit-resolution #940 #287]: #1307
1.179 +#1309 := [unit-resolution #1308 #1306]: #905
1.180 +#1356 := (= #799 #23)
1.181 +#800 := (= #23 #799)
1.182 +decl uf_15 :: T4
1.183 +#40 := uf_15
1.184 +#41 := (uf_5 uf_15)
1.185 +#814 := (+ #41 #813)
1.186 +#815 := (<= #814 0::int)
1.187 +#836 := (not #815)
1.188 +#158 := (* -1::int #41)
1.189 +#1270 := (+ #16 #158)
1.190 +#1265 := (>= #1270 0::int)
1.191 +#1339 := (not #1265)
1.192 +#1269 := (= #16 #41)
1.193 +#1298 := (not #1269)
1.194 +#286 := (= uf_7 uf_15)
1.195 +#44 := (uf_10 uf_15)
1.196 +#72 := (uf_6 #44)
1.197 +#73 := (= #72 uf_15)
1.198 +#277 := (= uf_15 #72)
1.199 +#278 := (iff #73 #277)
1.200 +#279 := [rewrite]: #278
1.201 +#276 := [asserted]: #73
1.202 +#282 := [mp #276 #279]: #277
1.203 +#1274 := [symm #282]: #73
1.204 +#729 := (= uf_7 #72)
1.205 +decl uf_17 :: (-> int T4)
1.206 +#611 := (uf_5 #72)
1.207 +#991 := (uf_17 #611)
1.208 +#1289 := (= #991 #72)
1.209 +#992 := (= #72 #991)
1.210 +#55 := (:var 0 T4)
1.211 +#56 := (uf_5 #55)
1.212 +#574 := (pattern #56)
1.213 +#57 := (uf_17 #56)
1.214 +#177 := (= #55 #57)
1.215 +#575 := (forall (vars (?x7 T4)) (:pat #574) #177)
1.216 +#195 := (forall (vars (?x7 T4)) #177)
1.217 +#578 := (iff #195 #575)
1.218 +#576 := (iff #177 #177)
1.219 +#577 := [refl]: #576
1.220 +#579 := [quant-intro #577]: #578
1.221 +#405 := (~ #195 #195)
1.222 +#403 := (~ #177 #177)
1.223 +#404 := [refl]: #403
1.224 +#406 := [nnf-pos #404]: #405
1.225 +#58 := (= #57 #55)
1.226 +#59 := (forall (vars (?x7 T4)) #58)
1.227 +#196 := (iff #59 #195)
1.228 +#193 := (iff #58 #177)
1.229 +#194 := [rewrite]: #193
1.230 +#197 := [quant-intro #194]: #196
1.231 +#155 := [asserted]: #59
1.232 +#200 := [mp #155 #197]: #195
1.233 +#407 := [mp~ #200 #406]: #195
1.234 +#580 := [mp #407 #579]: #575
1.235 +#995 := (not #575)
1.236 +#996 := (or #995 #992)
1.237 +#997 := [quant-inst]: #996
1.238 +#1273 := [unit-resolution #997 #580]: #992
1.239 +#1290 := [symm #1273]: #1289
1.240 +#1293 := (= uf_7 #991)
1.241 +#993 := (uf_17 #803)
1.242 +#1287 := (= #993 #991)
1.243 +#1284 := (= #803 #611)
1.244 +#987 := (= #41 #611)
1.245 +#1279 := (= #611 #41)
1.246 +#1280 := [monotonicity #1274]: #1279
1.247 +#1281 := [symm #1280]: #987
1.248 +#1282 := (= #803 #41)
1.249 +#1275 := [hypothesis]: #1269
1.250 +#1283 := [trans #1278 #1275]: #1282
1.251 +#1285 := [trans #1283 #1281]: #1284
1.252 +#1288 := [monotonicity #1285]: #1287
1.253 +#1291 := (= uf_7 #993)
1.254 +#994 := (= #74 #993)
1.255 +#1000 := (or #995 #994)
1.256 +#1001 := [quant-inst]: #1000
1.257 +#1286 := [unit-resolution #1001 #580]: #994
1.258 +#1292 := [trans #287 #1286]: #1291
1.259 +#1294 := [trans #1292 #1288]: #1293
1.260 +#1295 := [trans #1294 #1290]: #729
1.261 +#1296 := [trans #1295 #1274]: #286
1.262 +#290 := (not #286)
1.263 +#76 := (= uf_15 uf_7)
1.264 +#77 := (not #76)
1.265 +#291 := (iff #77 #290)
1.266 +#288 := (iff #76 #286)
1.267 +#289 := [rewrite]: #288
1.268 +#292 := [monotonicity #289]: #291
1.269 +#285 := [asserted]: #77
1.270 +#295 := [mp #285 #292]: #290
1.271 +#1297 := [unit-resolution #295 #1296]: false
1.272 +#1299 := [lemma #1297]: #1298
1.273 +#1342 := (or #1269 #1339)
1.274 +#1271 := (<= #1270 0::int)
1.275 +#621 := (* -1::int #611)
1.276 +#723 := (+ #16 #621)
1.277 +#724 := (<= #723 0::int)
1.278 +decl uf_12 :: T1
1.279 +#30 := uf_12
1.280 +#88 := (uf_2 uf_12)
1.281 +#771 := (uf_1 #88 #44)
1.282 +#45 := (uf_1 uf_9 #44)
1.283 +#772 := (= #45 #771)
1.284 +#796 := (not #772)
1.285 +decl uf_14 :: T1
1.286 +#38 := uf_14
1.287 +#83 := (uf_2 uf_14)
1.288 +#656 := (uf_1 #83 #44)
1.289 +#1239 := (= #656 #771)
1.290 +#1252 := (not #1239)
1.291 +#1324 := (iff #1252 #796)
1.292 +#1322 := (iff #1239 #772)
1.293 +#1320 := (= #656 #45)
1.294 +#661 := (= #45 #656)
1.295 +#659 := (uf_1 uf_11 #44)
1.296 +#664 := (= #656 #659)
1.297 +#667 := (ite #277 #661 #664)
1.298 +#657 := (uf_1 uf_8 #44)
1.299 +#670 := (= #656 #657)
1.300 +#622 := (+ #41 #621)
1.301 +#623 := (<= #622 0::int)
1.302 +#673 := (ite #623 #667 #670)
1.303 +#84 := (uf_1 #83 #6)
1.304 +#560 := (pattern #84)
1.305 +#467 := (= #19 #84)
1.306 +#465 := (= #25 #84)
1.307 +#464 := (= #45 #84)
1.308 +#43 := (= #13 uf_15)
1.309 +#466 := (ite #43 #464 #465)
1.310 +#159 := (+ #14 #158)
1.311 +#157 := (>= #159 0::int)
1.312 +#468 := (ite #157 #466 #467)
1.313 +#561 := (forall (vars (?x5 T2)) (:pat #541 #560 #543 #544) #468)
1.314 +#471 := (forall (vars (?x5 T2)) #468)
1.315 +#564 := (iff #471 #561)
1.316 +#562 := (iff #468 #468)
1.317 +#563 := [refl]: #562
1.318 +#565 := [quant-intro #563]: #564
1.319 +#46 := (ite #43 #45 #25)
1.320 +#165 := (ite #157 #46 #19)
1.321 +#378 := (= #84 #165)
1.322 +#379 := (forall (vars (?x5 T2)) #378)
1.323 +#472 := (iff #379 #471)
1.324 +#469 := (iff #378 #468)
1.325 +#470 := [rewrite]: #469
1.326 +#473 := [quant-intro #470]: #472
1.327 +#359 := (~ #379 #379)
1.328 +#361 := (~ #378 #378)
1.329 +#358 := [refl]: #361
1.330 +#356 := [nnf-pos #358]: #359
1.331 +#39 := (uf_3 uf_14 #6)
1.332 +#170 := (= #39 #165)
1.333 +#173 := (forall (vars (?x5 T2)) #170)
1.334 +#380 := (iff #173 #379)
1.335 +#381 := [rewrite* #113]: #380
1.336 +#42 := (< #14 #41)
1.337 +#47 := (ite #42 #19 #46)
1.338 +#48 := (= #39 #47)
1.339 +#49 := (forall (vars (?x5 T2)) #48)
1.340 +#174 := (iff #49 #173)
1.341 +#171 := (iff #48 #170)
1.342 +#168 := (= #47 #165)
1.343 +#156 := (not #157)
1.344 +#162 := (ite #156 #19 #46)
1.345 +#166 := (= #162 #165)
1.346 +#167 := [rewrite]: #166
1.347 +#163 := (= #47 #162)
1.348 +#160 := (iff #42 #156)
1.349 +#161 := [rewrite]: #160
1.350 +#164 := [monotonicity #161]: #163
1.351 +#169 := [trans #164 #167]: #168
1.352 +#172 := [monotonicity #169]: #171
1.353 +#175 := [quant-intro #172]: #174
1.354 +#116 := [asserted]: #49
1.355 +#176 := [mp #116 #175]: #173
1.356 +#382 := [mp #176 #381]: #379
1.357 +#357 := [mp~ #382 #356]: #379
1.358 +#474 := [mp #357 #473]: #471
1.359 +#566 := [mp #474 #565]: #561
1.360 +#676 := (not #561)
1.361 +#677 := (or #676 #673)
1.362 +#658 := (= #657 #656)
1.363 +#660 := (= #659 #656)
1.364 +#662 := (ite #73 #661 #660)
1.365 +#612 := (+ #611 #158)
1.366 +#613 := (>= #612 0::int)
1.367 +#663 := (ite #613 #662 #658)
1.368 +#678 := (or #676 #663)
1.369 +#680 := (iff #678 #677)
1.370 +#682 := (iff #677 #677)
1.371 +#683 := [rewrite]: #682
1.372 +#674 := (iff #663 #673)
1.373 +#671 := (iff #658 #670)
1.374 +#672 := [rewrite]: #671
1.375 +#668 := (iff #662 #667)
1.376 +#665 := (iff #660 #664)
1.377 +#666 := [rewrite]: #665
1.378 +#669 := [monotonicity #279 #666]: #668
1.379 +#626 := (iff #613 #623)
1.380 +#615 := (+ #158 #611)
1.381 +#618 := (>= #615 0::int)
1.382 +#624 := (iff #618 #623)
1.383 +#625 := [rewrite]: #624
1.384 +#619 := (iff #613 #618)
1.385 +#616 := (= #612 #615)
1.386 +#617 := [rewrite]: #616
1.387 +#620 := [monotonicity #617]: #619
1.388 +#627 := [trans #620 #625]: #626
1.389 +#675 := [monotonicity #627 #669 #672]: #674
1.390 +#681 := [monotonicity #675]: #680
1.391 +#684 := [trans #681 #683]: #680
1.392 +#679 := [quant-inst]: #678
1.393 +#685 := [mp #679 #684]: #677
1.394 +#1311 := [unit-resolution #685 #566]: #673
1.395 +#1312 := (not #987)
1.396 +#1313 := (or #1312 #623)
1.397 +#1314 := [th-lemma]: #1313
1.398 +#1315 := [unit-resolution #1314 #1281]: #623
1.399 +#645 := (not #623)
1.400 +#698 := (not #673)
1.401 +#699 := (or #698 #645 #667)
1.402 +#700 := [def-axiom]: #699
1.403 +#1316 := [unit-resolution #700 #1315 #1311]: #667
1.404 +#686 := (not #667)
1.405 +#1317 := (or #686 #661)
1.406 +#687 := (not #277)
1.407 +#688 := (or #686 #687 #661)
1.408 +#689 := [def-axiom]: #688
1.409 +#1318 := [unit-resolution #689 #282]: #1317
1.410 +#1319 := [unit-resolution #1318 #1316]: #661
1.411 +#1321 := [symm #1319]: #1320
1.412 +#1323 := [monotonicity #1321]: #1322
1.413 +#1325 := [monotonicity #1323]: #1324
1.414 +#1145 := (* -1::real #771)
1.415 +#1240 := (+ #656 #1145)
1.416 +#1241 := (<= #1240 0::real)
1.417 +#1249 := (not #1241)
1.418 +#1243 := [hypothesis]: #1241
1.419 +decl uf_18 :: T3
1.420 +#80 := uf_18
1.421 +#1040 := (uf_1 uf_18 #44)
1.422 +#1043 := (* -1::real #1040)
1.423 +#1156 := (+ #771 #1043)
1.424 +#1157 := (>= #1156 0::real)
1.425 +#1189 := (not #1157)
1.426 +#708 := (uf_1 #91 #44)
1.427 +#1168 := (+ #708 #1043)
1.428 +#1169 := (<= #1168 0::real)
1.429 +#1174 := (or #1157 #1169)
1.430 +#1177 := (not #1174)
1.431 +#89 := (uf_1 #88 #6)
1.432 +#552 := (pattern #89)
1.433 +#81 := (uf_1 uf_18 #6)
1.434 +#594 := (pattern #81)
1.435 +#324 := (* -1::real #92)
1.436 +#325 := (+ #81 #324)
1.437 +#323 := (>= #325 0::real)
1.438 +#317 := (* -1::real #89)
1.439 +#318 := (+ #81 #317)
1.440 +#319 := (<= #318 0::real)
1.441 +#436 := (or #319 #323)
1.442 +#437 := (not #436)
1.443 +#601 := (forall (vars (?x11 T2)) (:pat #594 #552 #542) #437)
1.444 +#440 := (forall (vars (?x11 T2)) #437)
1.445 +#604 := (iff #440 #601)
1.446 +#602 := (iff #437 #437)
1.447 +#603 := [refl]: #602
1.448 +#605 := [quant-intro #603]: #604
1.449 +#326 := (not #323)
1.450 +#320 := (not #319)
1.451 +#329 := (and #320 #326)
1.452 +#332 := (forall (vars (?x11 T2)) #329)
1.453 +#441 := (iff #332 #440)
1.454 +#438 := (iff #329 #437)
1.455 +#439 := [rewrite]: #438
1.456 +#442 := [quant-intro #439]: #441
1.457 +#425 := (~ #332 #332)
1.458 +#423 := (~ #329 #329)
1.459 +#424 := [refl]: #423
1.460 +#426 := [nnf-pos #424]: #425
1.461 +#306 := (* -1::real #84)
1.462 +#307 := (+ #81 #306)
1.463 +#305 := (>= #307 0::real)
1.464 +#308 := (not #305)
1.465 +#301 := (* -1::real #81)
1.466 +#79 := (uf_1 #78 #6)
1.467 +#302 := (+ #79 #301)
1.468 +#300 := (>= #302 0::real)
1.469 +#298 := (not #300)
1.470 +#311 := (and #298 #308)
1.471 +#314 := (forall (vars (?x10 T2)) #311)
1.472 +#335 := (and #314 #332)
1.473 +#93 := (< #81 #92)
1.474 +#90 := (< #89 #81)
1.475 +#94 := (and #90 #93)
1.476 +#95 := (forall (vars (?x11 T2)) #94)
1.477 +#85 := (< #81 #84)
1.478 +#82 := (< #79 #81)
1.479 +#86 := (and #82 #85)
1.480 +#87 := (forall (vars (?x10 T2)) #86)
1.481 +#96 := (and #87 #95)
1.482 +#336 := (iff #96 #335)
1.483 +#333 := (iff #95 #332)
1.484 +#330 := (iff #94 #329)
1.485 +#327 := (iff #93 #326)
1.486 +#328 := [rewrite]: #327
1.487 +#321 := (iff #90 #320)
1.488 +#322 := [rewrite]: #321
1.489 +#331 := [monotonicity #322 #328]: #330
1.490 +#334 := [quant-intro #331]: #333
1.491 +#315 := (iff #87 #314)
1.492 +#312 := (iff #86 #311)
1.493 +#309 := (iff #85 #308)
1.494 +#310 := [rewrite]: #309
1.495 +#303 := (iff #82 #298)
1.496 +#304 := [rewrite]: #303
1.497 +#313 := [monotonicity #304 #310]: #312
1.498 +#316 := [quant-intro #313]: #315
1.499 +#337 := [monotonicity #316 #334]: #336
1.500 +#293 := [asserted]: #96
1.501 +#338 := [mp #293 #337]: #335
1.502 +#340 := [and-elim #338]: #332
1.503 +#427 := [mp~ #340 #426]: #332
1.504 +#443 := [mp #427 #442]: #440
1.505 +#606 := [mp #443 #605]: #601
1.506 +#1124 := (not #601)
1.507 +#1180 := (or #1124 #1177)
1.508 +#1142 := (* -1::real #708)
1.509 +#1143 := (+ #1040 #1142)
1.510 +#1144 := (>= #1143 0::real)
1.511 +#1146 := (+ #1040 #1145)
1.512 +#1147 := (<= #1146 0::real)
1.513 +#1148 := (or #1147 #1144)
1.514 +#1149 := (not #1148)
1.515 +#1181 := (or #1124 #1149)
1.516 +#1183 := (iff #1181 #1180)
1.517 +#1185 := (iff #1180 #1180)
1.518 +#1186 := [rewrite]: #1185
1.519 +#1178 := (iff #1149 #1177)
1.520 +#1175 := (iff #1148 #1174)
1.521 +#1172 := (iff #1144 #1169)
1.522 +#1162 := (+ #1142 #1040)
1.523 +#1165 := (>= #1162 0::real)
1.524 +#1170 := (iff #1165 #1169)
1.525 +#1171 := [rewrite]: #1170
1.526 +#1166 := (iff #1144 #1165)
1.527 +#1163 := (= #1143 #1162)
1.528 +#1164 := [rewrite]: #1163
1.529 +#1167 := [monotonicity #1164]: #1166
1.530 +#1173 := [trans #1167 #1171]: #1172
1.531 +#1160 := (iff #1147 #1157)
1.532 +#1150 := (+ #1145 #1040)
1.533 +#1153 := (<= #1150 0::real)
1.534 +#1158 := (iff #1153 #1157)
1.535 +#1159 := [rewrite]: #1158
1.536 +#1154 := (iff #1147 #1153)
1.537 +#1151 := (= #1146 #1150)
1.538 +#1152 := [rewrite]: #1151
1.539 +#1155 := [monotonicity #1152]: #1154
1.540 +#1161 := [trans #1155 #1159]: #1160
1.541 +#1176 := [monotonicity #1161 #1173]: #1175
1.542 +#1179 := [monotonicity #1176]: #1178
1.543 +#1184 := [monotonicity #1179]: #1183
1.544 +#1187 := [trans #1184 #1186]: #1183
1.545 +#1182 := [quant-inst]: #1181
1.546 +#1188 := [mp #1182 #1187]: #1180
1.547 +#1244 := [unit-resolution #1188 #606]: #1177
1.548 +#1190 := (or #1174 #1189)
1.549 +#1191 := [def-axiom]: #1190
1.550 +#1245 := [unit-resolution #1191 #1244]: #1189
1.551 +#1054 := (+ #656 #1043)
1.552 +#1055 := (<= #1054 0::real)
1.553 +#1079 := (not #1055)
1.554 +#607 := (uf_1 #78 #44)
1.555 +#1044 := (+ #607 #1043)
1.556 +#1045 := (>= #1044 0::real)
1.557 +#1060 := (or #1045 #1055)
1.558 +#1063 := (not #1060)
1.559 +#567 := (pattern #79)
1.560 +#428 := (or #300 #305)
1.561 +#429 := (not #428)
1.562 +#595 := (forall (vars (?x10 T2)) (:pat #567 #594 #560) #429)
1.563 +#432 := (forall (vars (?x10 T2)) #429)
1.564 +#598 := (iff #432 #595)
1.565 +#596 := (iff #429 #429)
1.566 +#597 := [refl]: #596
1.567 +#599 := [quant-intro #597]: #598
1.568 +#433 := (iff #314 #432)
1.569 +#430 := (iff #311 #429)
1.570 +#431 := [rewrite]: #430
1.571 +#434 := [quant-intro #431]: #433
1.572 +#420 := (~ #314 #314)
1.573 +#418 := (~ #311 #311)
1.574 +#419 := [refl]: #418
1.575 +#421 := [nnf-pos #419]: #420
1.576 +#339 := [and-elim #338]: #314
1.577 +#422 := [mp~ #339 #421]: #314
1.578 +#435 := [mp #422 #434]: #432
1.579 +#600 := [mp #435 #599]: #595
1.580 +#1066 := (not #595)
1.581 +#1067 := (or #1066 #1063)
1.582 +#1039 := (* -1::real #656)
1.583 +#1041 := (+ #1040 #1039)
1.584 +#1042 := (>= #1041 0::real)
1.585 +#1046 := (or #1045 #1042)
1.586 +#1047 := (not #1046)
1.587 +#1068 := (or #1066 #1047)
1.588 +#1070 := (iff #1068 #1067)
1.589 +#1072 := (iff #1067 #1067)
1.590 +#1073 := [rewrite]: #1072
1.591 +#1064 := (iff #1047 #1063)
1.592 +#1061 := (iff #1046 #1060)
1.593 +#1058 := (iff #1042 #1055)
1.594 +#1048 := (+ #1039 #1040)
1.595 +#1051 := (>= #1048 0::real)
1.596 +#1056 := (iff #1051 #1055)
1.597 +#1057 := [rewrite]: #1056
1.598 +#1052 := (iff #1042 #1051)
1.599 +#1049 := (= #1041 #1048)
1.600 +#1050 := [rewrite]: #1049
1.601 +#1053 := [monotonicity #1050]: #1052
1.602 +#1059 := [trans #1053 #1057]: #1058
1.603 +#1062 := [monotonicity #1059]: #1061
1.604 +#1065 := [monotonicity #1062]: #1064
1.605 +#1071 := [monotonicity #1065]: #1070
1.606 +#1074 := [trans #1071 #1073]: #1070
1.607 +#1069 := [quant-inst]: #1068
1.608 +#1075 := [mp #1069 #1074]: #1067
1.609 +#1246 := [unit-resolution #1075 #600]: #1063
1.610 +#1080 := (or #1060 #1079)
1.611 +#1081 := [def-axiom]: #1080
1.612 +#1247 := [unit-resolution #1081 #1246]: #1079
1.613 +#1248 := [th-lemma #1247 #1245 #1243]: false
1.614 +#1250 := [lemma #1248]: #1249
1.615 +#1253 := (or #1252 #1241)
1.616 +#1254 := [th-lemma]: #1253
1.617 +#1310 := [unit-resolution #1254 #1250]: #1252
1.618 +#1326 := [mp #1310 #1325]: #796
1.619 +#1328 := (or #724 #772)
1.620 +decl uf_13 :: T3
1.621 +#33 := uf_13
1.622 +#609 := (uf_1 uf_13 #44)
1.623 +#773 := (= #609 #771)
1.624 +#775 := (ite #724 #773 #772)
1.625 +#32 := (uf_1 uf_9 #6)
1.626 +#553 := (pattern #32)
1.627 +#34 := (uf_1 uf_13 #6)
1.628 +#551 := (pattern #34)
1.629 +#456 := (= #32 #89)
1.630 +#455 := (= #34 #89)
1.631 +#457 := (ite #119 #455 #456)
1.632 +#554 := (forall (vars (?x4 T2)) (:pat #541 #551 #552 #553) #457)
1.633 +#460 := (forall (vars (?x4 T2)) #457)
1.634 +#557 := (iff #460 #554)
1.635 +#555 := (iff #457 #457)
1.636 +#556 := [refl]: #555
1.637 +#558 := [quant-intro #556]: #557
1.638 +#143 := (ite #119 #34 #32)
1.639 +#373 := (= #89 #143)
1.640 +#374 := (forall (vars (?x4 T2)) #373)
1.641 +#461 := (iff #374 #460)
1.642 +#458 := (iff #373 #457)
1.643 +#459 := [rewrite]: #458
1.644 +#462 := [quant-intro #459]: #461
1.645 +#362 := (~ #374 #374)
1.646 +#364 := (~ #373 #373)
1.647 +#365 := [refl]: #364
1.648 +#363 := [nnf-pos #365]: #362
1.649 +#31 := (uf_3 uf_12 #6)
1.650 +#148 := (= #31 #143)
1.651 +#151 := (forall (vars (?x4 T2)) #148)
1.652 +#375 := (iff #151 #374)
1.653 +#376 := [rewrite* #113]: #375
1.654 +#35 := (ite #17 #32 #34)
1.655 +#36 := (= #31 #35)
1.656 +#37 := (forall (vars (?x4 T2)) #36)
1.657 +#152 := (iff #37 #151)
1.658 +#149 := (iff #36 #148)
1.659 +#146 := (= #35 #143)
1.660 +#140 := (ite #118 #32 #34)
1.661 +#144 := (= #140 #143)
1.662 +#145 := [rewrite]: #144
1.663 +#141 := (= #35 #140)
1.664 +#142 := [monotonicity #123]: #141
1.665 +#147 := [trans #142 #145]: #146
1.666 +#150 := [monotonicity #147]: #149
1.667 +#153 := [quant-intro #150]: #152
1.668 +#115 := [asserted]: #37
1.669 +#154 := [mp #115 #153]: #151
1.670 +#377 := [mp #154 #376]: #374
1.671 +#360 := [mp~ #377 #363]: #374
1.672 +#463 := [mp #360 #462]: #460
1.673 +#559 := [mp #463 #558]: #554
1.674 +#778 := (not #554)
1.675 +#779 := (or #778 #775)
1.676 +#714 := (+ #611 #120)
1.677 +#715 := (>= #714 0::int)
1.678 +#774 := (ite #715 #773 #772)
1.679 +#780 := (or #778 #774)
1.680 +#782 := (iff #780 #779)
1.681 +#784 := (iff #779 #779)
1.682 +#785 := [rewrite]: #784
1.683 +#776 := (iff #774 #775)
1.684 +#727 := (iff #715 #724)
1.685 +#717 := (+ #120 #611)
1.686 +#720 := (>= #717 0::int)
1.687 +#725 := (iff #720 #724)
1.688 +#726 := [rewrite]: #725
1.689 +#721 := (iff #715 #720)
1.690 +#718 := (= #714 #717)
1.691 +#719 := [rewrite]: #718
1.692 +#722 := [monotonicity #719]: #721
1.693 +#728 := [trans #722 #726]: #727
1.694 +#777 := [monotonicity #728]: #776
1.695 +#783 := [monotonicity #777]: #782
1.696 +#786 := [trans #783 #785]: #782
1.697 +#781 := [quant-inst]: #780
1.698 +#787 := [mp #781 #786]: #779
1.699 +#1327 := [unit-resolution #787 #559]: #775
1.700 +#788 := (not #775)
1.701 +#791 := (or #788 #724 #772)
1.702 +#792 := [def-axiom]: #791
1.703 +#1329 := [unit-resolution #792 #1327]: #1328
1.704 +#1330 := [unit-resolution #1329 #1326]: #724
1.705 +#988 := (>= #622 0::int)
1.706 +#1331 := (or #1312 #988)
1.707 +#1332 := [th-lemma]: #1331
1.708 +#1333 := [unit-resolution #1332 #1281]: #988
1.709 +#761 := (not #724)
1.710 +#1334 := (not #988)
1.711 +#1335 := (or #1271 #1334 #761)
1.712 +#1336 := [th-lemma]: #1335
1.713 +#1337 := [unit-resolution #1336 #1333 #1330]: #1271
1.714 +#1338 := (not #1271)
1.715 +#1340 := (or #1269 #1338 #1339)
1.716 +#1341 := [th-lemma]: #1340
1.717 +#1343 := [unit-resolution #1341 #1337]: #1342
1.718 +#1344 := [unit-resolution #1343 #1299]: #1339
1.719 +#990 := (>= #916 0::int)
1.720 +#1345 := (or #1302 #990)
1.721 +#1346 := [th-lemma]: #1345
1.722 +#1347 := [unit-resolution #1346 #1301]: #990
1.723 +#1348 := (not #990)
1.724 +#1349 := (or #836 #1348 #1265)
1.725 +#1350 := [th-lemma]: #1349
1.726 +#1351 := [unit-resolution #1350 #1347 #1344]: #836
1.727 +#1353 := (or #815 #800)
1.728 +#801 := (uf_1 uf_13 #22)
1.729 +#820 := (= #799 #801)
1.730 +#823 := (ite #815 #820 #800)
1.731 +#476 := (= #32 #79)
1.732 +#475 := (= #34 #79)
1.733 +#477 := (ite #157 #475 #476)
1.734 +#568 := (forall (vars (?x6 T2)) (:pat #541 #551 #567 #553) #477)
1.735 +#480 := (forall (vars (?x6 T2)) #477)
1.736 +#571 := (iff #480 #568)
1.737 +#569 := (iff #477 #477)
1.738 +#570 := [refl]: #569
1.739 +#572 := [quant-intro #570]: #571
1.740 +#181 := (ite #157 #34 #32)
1.741 +#383 := (= #79 #181)
1.742 +#384 := (forall (vars (?x6 T2)) #383)
1.743 +#481 := (iff #384 #480)
1.744 +#478 := (iff #383 #477)
1.745 +#479 := [rewrite]: #478
1.746 +#482 := [quant-intro #479]: #481
1.747 +#352 := (~ #384 #384)
1.748 +#354 := (~ #383 #383)
1.749 +#355 := [refl]: #354
1.750 +#353 := [nnf-pos #355]: #352
1.751 +#51 := (uf_3 uf_16 #6)
1.752 +#186 := (= #51 #181)
1.753 +#189 := (forall (vars (?x6 T2)) #186)
1.754 +#385 := (iff #189 #384)
1.755 +#386 := [rewrite* #113]: #385
1.756 +#52 := (ite #42 #32 #34)
1.757 +#53 := (= #51 #52)
1.758 +#54 := (forall (vars (?x6 T2)) #53)
1.759 +#190 := (iff #54 #189)
1.760 +#187 := (iff #53 #186)
1.761 +#184 := (= #52 #181)
1.762 +#178 := (ite #156 #32 #34)
1.763 +#182 := (= #178 #181)
1.764 +#183 := [rewrite]: #182
1.765 +#179 := (= #52 #178)
1.766 +#180 := [monotonicity #161]: #179
1.767 +#185 := [trans #180 #183]: #184
1.768 +#188 := [monotonicity #185]: #187
1.769 +#191 := [quant-intro #188]: #190
1.770 +#139 := [asserted]: #54
1.771 +#192 := [mp #139 #191]: #189
1.772 +#387 := [mp #192 #386]: #384
1.773 +#402 := [mp~ #387 #353]: #384
1.774 +#483 := [mp #402 #482]: #480
1.775 +#573 := [mp #483 #572]: #568
1.776 +#634 := (not #568)
1.777 +#826 := (or #634 #823)
1.778 +#802 := (= #801 #799)
1.779 +#804 := (+ #803 #158)
1.780 +#805 := (>= #804 0::int)
1.781 +#806 := (ite #805 #802 #800)
1.782 +#827 := (or #634 #806)
1.783 +#829 := (iff #827 #826)
1.784 +#831 := (iff #826 #826)
1.785 +#832 := [rewrite]: #831
1.786 +#824 := (iff #806 #823)
1.787 +#821 := (iff #802 #820)
1.788 +#822 := [rewrite]: #821
1.789 +#818 := (iff #805 #815)
1.790 +#807 := (+ #158 #803)
1.791 +#810 := (>= #807 0::int)
1.792 +#816 := (iff #810 #815)
1.793 +#817 := [rewrite]: #816
1.794 +#811 := (iff #805 #810)
1.795 +#808 := (= #804 #807)
1.796 +#809 := [rewrite]: #808
1.797 +#812 := [monotonicity #809]: #811
1.798 +#819 := [trans #812 #817]: #818
1.799 +#825 := [monotonicity #819 #822]: #824
1.800 +#830 := [monotonicity #825]: #829
1.801 +#833 := [trans #830 #832]: #829
1.802 +#828 := [quant-inst]: #827
1.803 +#834 := [mp #828 #833]: #826
1.804 +#1352 := [unit-resolution #834 #573]: #823
1.805 +#835 := (not #823)
1.806 +#839 := (or #835 #815 #800)
1.807 +#840 := [def-axiom]: #839
1.808 +#1354 := [unit-resolution #840 #1352]: #1353
1.809 +#1355 := [unit-resolution #1354 #1351]: #800
1.810 +#1357 := [symm #1355]: #1356
1.811 +#1358 := [trans #1357 #1309]: #1266
1.812 +#1359 := (not #1266)
1.813 +#1360 := (or #1359 #1272)
1.814 +#1361 := [th-lemma]: #1360
1.815 +#1362 := [unit-resolution #1361 #1358]: #1272
1.816 +#1085 := (uf_1 uf_18 #22)
1.817 +#1099 := (* -1::real #1085)
1.818 +#1112 := (+ #902 #1099)
1.819 +#1113 := (<= #1112 0::real)
1.820 +#1137 := (not #1113)
1.821 +#960 := (uf_1 #88 #22)
1.822 +#1100 := (+ #960 #1099)
1.823 +#1101 := (>= #1100 0::real)
1.824 +#1118 := (or #1101 #1113)
1.825 +#1121 := (not #1118)
1.826 +#1125 := (or #1124 #1121)
1.827 +#1086 := (+ #1085 #1084)
1.828 +#1087 := (>= #1086 0::real)
1.829 +#1088 := (* -1::real #960)
1.830 +#1089 := (+ #1085 #1088)
1.831 +#1090 := (<= #1089 0::real)
1.832 +#1091 := (or #1090 #1087)
1.833 +#1092 := (not #1091)
1.834 +#1126 := (or #1124 #1092)
1.835 +#1128 := (iff #1126 #1125)
1.836 +#1130 := (iff #1125 #1125)
1.837 +#1131 := [rewrite]: #1130
1.838 +#1122 := (iff #1092 #1121)
1.839 +#1119 := (iff #1091 #1118)
1.840 +#1116 := (iff #1087 #1113)
1.841 +#1106 := (+ #1084 #1085)
1.842 +#1109 := (>= #1106 0::real)
1.843 +#1114 := (iff #1109 #1113)
1.844 +#1115 := [rewrite]: #1114
1.845 +#1110 := (iff #1087 #1109)
1.846 +#1107 := (= #1086 #1106)
1.847 +#1108 := [rewrite]: #1107
1.848 +#1111 := [monotonicity #1108]: #1110
1.849 +#1117 := [trans #1111 #1115]: #1116
1.850 +#1104 := (iff #1090 #1101)
1.851 +#1093 := (+ #1088 #1085)
1.852 +#1096 := (<= #1093 0::real)
1.853 +#1102 := (iff #1096 #1101)
1.854 +#1103 := [rewrite]: #1102
1.855 +#1097 := (iff #1090 #1096)
1.856 +#1094 := (= #1089 #1093)
1.857 +#1095 := [rewrite]: #1094
1.858 +#1098 := [monotonicity #1095]: #1097
1.859 +#1105 := [trans #1098 #1103]: #1104
1.860 +#1120 := [monotonicity #1105 #1117]: #1119
1.861 +#1123 := [monotonicity #1120]: #1122
1.862 +#1129 := [monotonicity #1123]: #1128
1.863 +#1132 := [trans #1129 #1131]: #1128
1.864 +#1127 := [quant-inst]: #1126
1.865 +#1133 := [mp #1127 #1132]: #1125
1.866 +#1363 := [unit-resolution #1133 #606]: #1121
1.867 +#1138 := (or #1118 #1137)
1.868 +#1139 := [def-axiom]: #1138
1.869 +#1364 := [unit-resolution #1139 #1363]: #1137
1.870 +#1200 := (+ #799 #1099)
1.871 +#1201 := (>= #1200 0::real)
1.872 +#1231 := (not #1201)
1.873 +#847 := (uf_1 #83 #22)
1.874 +#1210 := (+ #847 #1099)
1.875 +#1211 := (<= #1210 0::real)
1.876 +#1216 := (or #1201 #1211)
1.877 +#1219 := (not #1216)
1.878 +#1222 := (or #1066 #1219)
1.879 +#1197 := (* -1::real #847)
1.880 +#1198 := (+ #1085 #1197)
1.881 +#1199 := (>= #1198 0::real)
1.882 +#1202 := (or #1201 #1199)
1.883 +#1203 := (not #1202)
1.884 +#1223 := (or #1066 #1203)
1.885 +#1225 := (iff #1223 #1222)
1.886 +#1227 := (iff #1222 #1222)
1.887 +#1228 := [rewrite]: #1227
1.888 +#1220 := (iff #1203 #1219)
1.889 +#1217 := (iff #1202 #1216)
1.890 +#1214 := (iff #1199 #1211)
1.891 +#1204 := (+ #1197 #1085)
1.892 +#1207 := (>= #1204 0::real)
1.893 +#1212 := (iff #1207 #1211)
1.894 +#1213 := [rewrite]: #1212
1.895 +#1208 := (iff #1199 #1207)
1.896 +#1205 := (= #1198 #1204)
1.897 +#1206 := [rewrite]: #1205
1.898 +#1209 := [monotonicity #1206]: #1208
1.899 +#1215 := [trans #1209 #1213]: #1214
1.900 +#1218 := [monotonicity #1215]: #1217
1.901 +#1221 := [monotonicity #1218]: #1220
1.902 +#1226 := [monotonicity #1221]: #1225
1.903 +#1229 := [trans #1226 #1228]: #1225
1.904 +#1224 := [quant-inst]: #1223
1.905 +#1230 := [mp #1224 #1229]: #1222
1.906 +#1365 := [unit-resolution #1230 #600]: #1219
1.907 +#1232 := (or #1216 #1231)
1.908 +#1233 := [def-axiom]: #1232
1.909 +#1366 := [unit-resolution #1233 #1365]: #1231
1.910 +[th-lemma #1366 #1364 #1362]: false
1.911 +unsat
1.912 +NQHwTeL311Tq3wf2s5BReA 419 0
1.913 +#2 := false
1.914 +#194 := 0::real
1.915 +decl uf_4 :: (-> T2 T3 real)
1.916 +decl uf_6 :: (-> T1 T3)
1.917 +decl uf_3 :: T1
1.918 +#21 := uf_3
1.919 +#25 := (uf_6 uf_3)
1.920 +decl uf_5 :: T2
1.921 +#24 := uf_5
1.922 +#26 := (uf_4 uf_5 #25)
1.923 +decl uf_7 :: T2
1.924 +#27 := uf_7
1.925 +#28 := (uf_4 uf_7 #25)
1.926 +decl uf_10 :: T1
1.927 +#38 := uf_10
1.928 +#42 := (uf_6 uf_10)
1.929 +decl uf_9 :: T2
1.930 +#33 := uf_9
1.931 +#43 := (uf_4 uf_9 #42)
1.932 +#41 := (= uf_3 uf_10)
1.933 +#44 := (ite #41 #43 #28)
1.934 +#9 := 0::int
1.935 +decl uf_2 :: (-> T1 int)
1.936 +#39 := (uf_2 uf_10)
1.937 +#226 := -1::int
1.938 +#229 := (* -1::int #39)
1.939 +#22 := (uf_2 uf_3)
1.940 +#230 := (+ #22 #229)
1.941 +#228 := (>= #230 0::int)
1.942 +#236 := (ite #228 #44 #26)
1.943 +#192 := -1::real
1.944 +#244 := (* -1::real #236)
1.945 +#642 := (+ #26 #244)
1.946 +#643 := (<= #642 0::real)
1.947 +#567 := (= #26 #236)
1.948 +#227 := (not #228)
1.949 +decl uf_1 :: (-> int T1)
1.950 +#593 := (uf_1 #39)
1.951 +#660 := (= #593 uf_10)
1.952 +#594 := (= uf_10 #593)
1.953 +#4 := (:var 0 T1)
1.954 +#5 := (uf_2 #4)
1.955 +#546 := (pattern #5)
1.956 +#6 := (uf_1 #5)
1.957 +#93 := (= #4 #6)
1.958 +#547 := (forall (vars (?x1 T1)) (:pat #546) #93)
1.959 +#96 := (forall (vars (?x1 T1)) #93)
1.960 +#550 := (iff #96 #547)
1.961 +#548 := (iff #93 #93)
1.962 +#549 := [refl]: #548
1.963 +#551 := [quant-intro #549]: #550
1.964 +#448 := (~ #96 #96)
1.965 +#450 := (~ #93 #93)
1.966 +#451 := [refl]: #450
1.967 +#449 := [nnf-pos #451]: #448
1.968 +#7 := (= #6 #4)
1.969 +#8 := (forall (vars (?x1 T1)) #7)
1.970 +#97 := (iff #8 #96)
1.971 +#94 := (iff #7 #93)
1.972 +#95 := [rewrite]: #94
1.973 +#98 := [quant-intro #95]: #97
1.974 +#92 := [asserted]: #8
1.975 +#101 := [mp #92 #98]: #96
1.976 +#446 := [mp~ #101 #449]: #96
1.977 +#552 := [mp #446 #551]: #547
1.978 +#595 := (not #547)
1.979 +#600 := (or #595 #594)
1.980 +#601 := [quant-inst]: #600
1.981 +#654 := [unit-resolution #601 #552]: #594
1.982 +#680 := [symm #654]: #660
1.983 +#681 := (= uf_3 #593)
1.984 +#591 := (uf_1 #22)
1.985 +#658 := (= #591 #593)
1.986 +#656 := (= #593 #591)
1.987 +#652 := (= #39 #22)
1.988 +#647 := (= #22 #39)
1.989 +#290 := (<= #230 0::int)
1.990 +#70 := (<= #22 #39)
1.991 +#388 := (iff #70 #290)
1.992 +#389 := [rewrite]: #388
1.993 +#341 := [asserted]: #70
1.994 +#390 := [mp #341 #389]: #290
1.995 +#646 := [hypothesis]: #228
1.996 +#648 := [th-lemma #646 #390]: #647
1.997 +#653 := [symm #648]: #652
1.998 +#657 := [monotonicity #653]: #656
1.999 +#659 := [symm #657]: #658
1.1000 +#592 := (= uf_3 #591)
1.1001 +#596 := (or #595 #592)
1.1002 +#597 := [quant-inst]: #596
1.1003 +#655 := [unit-resolution #597 #552]: #592
1.1004 +#682 := [trans #655 #659]: #681
1.1005 +#683 := [trans #682 #680]: #41
1.1006 +#570 := (not #41)
1.1007 +decl uf_11 :: T2
1.1008 +#47 := uf_11
1.1009 +#59 := (uf_4 uf_11 #42)
1.1010 +#278 := (ite #41 #26 #59)
1.1011 +#459 := (* -1::real #278)
1.1012 +#637 := (+ #26 #459)
1.1013 +#639 := (>= #637 0::real)
1.1014 +#585 := (= #26 #278)
1.1015 +#661 := [hypothesis]: #41
1.1016 +#587 := (or #570 #585)
1.1017 +#588 := [def-axiom]: #587
1.1018 +#662 := [unit-resolution #588 #661]: #585
1.1019 +#663 := (not #585)
1.1020 +#664 := (or #663 #639)
1.1021 +#665 := [th-lemma]: #664
1.1022 +#666 := [unit-resolution #665 #662]: #639
1.1023 +decl uf_8 :: T2
1.1024 +#30 := uf_8
1.1025 +#56 := (uf_4 uf_8 #42)
1.1026 +#357 := (* -1::real #56)
1.1027 +#358 := (+ #43 #357)
1.1028 +#356 := (>= #358 0::real)
1.1029 +#355 := (not #356)
1.1030 +#374 := (* -1::real #59)
1.1031 +#375 := (+ #56 #374)
1.1032 +#373 := (>= #375 0::real)
1.1033 +#376 := (not #373)
1.1034 +#381 := (and #355 #376)
1.1035 +#64 := (< #39 #39)
1.1036 +#67 := (ite #64 #43 #59)
1.1037 +#68 := (< #56 #67)
1.1038 +#53 := (uf_4 uf_5 #42)
1.1039 +#65 := (ite #64 #53 #43)
1.1040 +#66 := (< #65 #56)
1.1041 +#69 := (and #66 #68)
1.1042 +#382 := (iff #69 #381)
1.1043 +#379 := (iff #68 #376)
1.1044 +#370 := (< #56 #59)
1.1045 +#377 := (iff #370 #376)
1.1046 +#378 := [rewrite]: #377
1.1047 +#371 := (iff #68 #370)
1.1048 +#368 := (= #67 #59)
1.1049 +#363 := (ite false #43 #59)
1.1050 +#366 := (= #363 #59)
1.1051 +#367 := [rewrite]: #366
1.1052 +#364 := (= #67 #363)
1.1053 +#343 := (iff #64 false)
1.1054 +#344 := [rewrite]: #343
1.1055 +#365 := [monotonicity #344]: #364
1.1056 +#369 := [trans #365 #367]: #368
1.1057 +#372 := [monotonicity #369]: #371
1.1058 +#380 := [trans #372 #378]: #379
1.1059 +#361 := (iff #66 #355)
1.1060 +#352 := (< #43 #56)
1.1061 +#359 := (iff #352 #355)
1.1062 +#360 := [rewrite]: #359
1.1063 +#353 := (iff #66 #352)
1.1064 +#350 := (= #65 #43)
1.1065 +#345 := (ite false #53 #43)
1.1066 +#348 := (= #345 #43)
1.1067 +#349 := [rewrite]: #348
1.1068 +#346 := (= #65 #345)
1.1069 +#347 := [monotonicity #344]: #346
1.1070 +#351 := [trans #347 #349]: #350
1.1071 +#354 := [monotonicity #351]: #353
1.1072 +#362 := [trans #354 #360]: #361
1.1073 +#383 := [monotonicity #362 #380]: #382
1.1074 +#340 := [asserted]: #69
1.1075 +#384 := [mp #340 #383]: #381
1.1076 +#385 := [and-elim #384]: #355
1.1077 +#394 := (* -1::real #53)
1.1078 +#395 := (+ #43 #394)
1.1079 +#393 := (>= #395 0::real)
1.1080 +#54 := (uf_4 uf_7 #42)
1.1081 +#402 := (* -1::real #54)
1.1082 +#403 := (+ #53 #402)
1.1083 +#401 := (>= #403 0::real)
1.1084 +#397 := (+ #43 #374)
1.1085 +#398 := (<= #397 0::real)
1.1086 +#412 := (and #393 #398 #401)
1.1087 +#73 := (<= #43 #59)
1.1088 +#72 := (<= #53 #43)
1.1089 +#74 := (and #72 #73)
1.1090 +#71 := (<= #54 #53)
1.1091 +#75 := (and #71 #74)
1.1092 +#415 := (iff #75 #412)
1.1093 +#406 := (and #393 #398)
1.1094 +#409 := (and #401 #406)
1.1095 +#413 := (iff #409 #412)
1.1096 +#414 := [rewrite]: #413
1.1097 +#410 := (iff #75 #409)
1.1098 +#407 := (iff #74 #406)
1.1099 +#399 := (iff #73 #398)
1.1100 +#400 := [rewrite]: #399
1.1101 +#392 := (iff #72 #393)
1.1102 +#396 := [rewrite]: #392
1.1103 +#408 := [monotonicity #396 #400]: #407
1.1104 +#404 := (iff #71 #401)
1.1105 +#405 := [rewrite]: #404
1.1106 +#411 := [monotonicity #405 #408]: #410
1.1107 +#416 := [trans #411 #414]: #415
1.1108 +#342 := [asserted]: #75
1.1109 +#417 := [mp #342 #416]: #412
1.1110 +#418 := [and-elim #417]: #393
1.1111 +#650 := (+ #26 #394)
1.1112 +#651 := (<= #650 0::real)
1.1113 +#649 := (= #26 #53)
1.1114 +#671 := (= #53 #26)
1.1115 +#669 := (= #42 #25)
1.1116 +#667 := (= #25 #42)
1.1117 +#668 := [monotonicity #661]: #667
1.1118 +#670 := [symm #668]: #669
1.1119 +#672 := [monotonicity #670]: #671
1.1120 +#673 := [symm #672]: #649
1.1121 +#674 := (not #649)
1.1122 +#675 := (or #674 #651)
1.1123 +#676 := [th-lemma]: #675
1.1124 +#677 := [unit-resolution #676 #673]: #651
1.1125 +#462 := (+ #56 #459)
1.1126 +#465 := (>= #462 0::real)
1.1127 +#438 := (not #465)
1.1128 +#316 := (ite #290 #278 #43)
1.1129 +#326 := (* -1::real #316)
1.1130 +#327 := (+ #56 #326)
1.1131 +#325 := (>= #327 0::real)
1.1132 +#324 := (not #325)
1.1133 +#439 := (iff #324 #438)
1.1134 +#466 := (iff #325 #465)
1.1135 +#463 := (= #327 #462)
1.1136 +#460 := (= #326 #459)
1.1137 +#457 := (= #316 #278)
1.1138 +#1 := true
1.1139 +#452 := (ite true #278 #43)
1.1140 +#455 := (= #452 #278)
1.1141 +#456 := [rewrite]: #455
1.1142 +#453 := (= #316 #452)
1.1143 +#444 := (iff #290 true)
1.1144 +#445 := [iff-true #390]: #444
1.1145 +#454 := [monotonicity #445]: #453
1.1146 +#458 := [trans #454 #456]: #457
1.1147 +#461 := [monotonicity #458]: #460
1.1148 +#464 := [monotonicity #461]: #463
1.1149 +#467 := [monotonicity #464]: #466
1.1150 +#468 := [monotonicity #467]: #439
1.1151 +#297 := (ite #290 #54 #53)
1.1152 +#305 := (* -1::real #297)
1.1153 +#306 := (+ #56 #305)
1.1154 +#307 := (<= #306 0::real)
1.1155 +#308 := (not #307)
1.1156 +#332 := (and #308 #324)
1.1157 +#58 := (= uf_10 uf_3)
1.1158 +#60 := (ite #58 #26 #59)
1.1159 +#52 := (< #39 #22)
1.1160 +#61 := (ite #52 #43 #60)
1.1161 +#62 := (< #56 #61)
1.1162 +#55 := (ite #52 #53 #54)
1.1163 +#57 := (< #55 #56)
1.1164 +#63 := (and #57 #62)
1.1165 +#335 := (iff #63 #332)
1.1166 +#281 := (ite #52 #43 #278)
1.1167 +#284 := (< #56 #281)
1.1168 +#287 := (and #57 #284)
1.1169 +#333 := (iff #287 #332)
1.1170 +#330 := (iff #284 #324)
1.1171 +#321 := (< #56 #316)
1.1172 +#328 := (iff #321 #324)
1.1173 +#329 := [rewrite]: #328
1.1174 +#322 := (iff #284 #321)
1.1175 +#319 := (= #281 #316)
1.1176 +#291 := (not #290)
1.1177 +#313 := (ite #291 #43 #278)
1.1178 +#317 := (= #313 #316)
1.1179 +#318 := [rewrite]: #317
1.1180 +#314 := (= #281 #313)
1.1181 +#292 := (iff #52 #291)
1.1182 +#293 := [rewrite]: #292
1.1183 +#315 := [monotonicity #293]: #314
1.1184 +#320 := [trans #315 #318]: #319
1.1185 +#323 := [monotonicity #320]: #322
1.1186 +#331 := [trans #323 #329]: #330
1.1187 +#311 := (iff #57 #308)
1.1188 +#302 := (< #297 #56)
1.1189 +#309 := (iff #302 #308)
1.1190 +#310 := [rewrite]: #309
1.1191 +#303 := (iff #57 #302)
1.1192 +#300 := (= #55 #297)
1.1193 +#294 := (ite #291 #53 #54)
1.1194 +#298 := (= #294 #297)
1.1195 +#299 := [rewrite]: #298
1.1196 +#295 := (= #55 #294)
1.1197 +#296 := [monotonicity #293]: #295
1.1198 +#301 := [trans #296 #299]: #300
1.1199 +#304 := [monotonicity #301]: #303
1.1200 +#312 := [trans #304 #310]: #311
1.1201 +#334 := [monotonicity #312 #331]: #333
1.1202 +#288 := (iff #63 #287)
1.1203 +#285 := (iff #62 #284)
1.1204 +#282 := (= #61 #281)
1.1205 +#279 := (= #60 #278)
1.1206 +#225 := (iff #58 #41)
1.1207 +#277 := [rewrite]: #225
1.1208 +#280 := [monotonicity #277]: #279
1.1209 +#283 := [monotonicity #280]: #282
1.1210 +#286 := [monotonicity #283]: #285
1.1211 +#289 := [monotonicity #286]: #288
1.1212 +#336 := [trans #289 #334]: #335
1.1213 +#179 := [asserted]: #63
1.1214 +#337 := [mp #179 #336]: #332
1.1215 +#339 := [and-elim #337]: #324
1.1216 +#469 := [mp #339 #468]: #438
1.1217 +#678 := [th-lemma #469 #677 #418 #385 #666]: false
1.1218 +#679 := [lemma #678]: #570
1.1219 +#684 := [unit-resolution #679 #683]: false
1.1220 +#685 := [lemma #684]: #227
1.1221 +#577 := (or #228 #567)
1.1222 +#578 := [def-axiom]: #577
1.1223 +#645 := [unit-resolution #578 #685]: #567
1.1224 +#686 := (not #567)
1.1225 +#687 := (or #686 #643)
1.1226 +#688 := [th-lemma]: #687
1.1227 +#689 := [unit-resolution #688 #645]: #643
1.1228 +#31 := (uf_4 uf_8 #25)
1.1229 +#245 := (+ #31 #244)
1.1230 +#246 := (<= #245 0::real)
1.1231 +#247 := (not #246)
1.1232 +#34 := (uf_4 uf_9 #25)
1.1233 +#48 := (uf_4 uf_11 #25)
1.1234 +#255 := (ite #228 #48 #34)
1.1235 +#264 := (* -1::real #255)
1.1236 +#265 := (+ #31 #264)
1.1237 +#263 := (>= #265 0::real)
1.1238 +#266 := (not #263)
1.1239 +#271 := (and #247 #266)
1.1240 +#40 := (< #22 #39)
1.1241 +#49 := (ite #40 #34 #48)
1.1242 +#50 := (< #31 #49)
1.1243 +#45 := (ite #40 #26 #44)
1.1244 +#46 := (< #45 #31)
1.1245 +#51 := (and #46 #50)
1.1246 +#272 := (iff #51 #271)
1.1247 +#269 := (iff #50 #266)
1.1248 +#260 := (< #31 #255)
1.1249 +#267 := (iff #260 #266)
1.1250 +#268 := [rewrite]: #267
1.1251 +#261 := (iff #50 #260)
1.1252 +#258 := (= #49 #255)
1.1253 +#252 := (ite #227 #34 #48)
1.1254 +#256 := (= #252 #255)
1.1255 +#257 := [rewrite]: #256
1.1256 +#253 := (= #49 #252)
1.1257 +#231 := (iff #40 #227)
1.1258 +#232 := [rewrite]: #231
1.1259 +#254 := [monotonicity #232]: #253
1.1260 +#259 := [trans #254 #257]: #258
1.1261 +#262 := [monotonicity #259]: #261
1.1262 +#270 := [trans #262 #268]: #269
1.1263 +#250 := (iff #46 #247)
1.1264 +#241 := (< #236 #31)
1.1265 +#248 := (iff #241 #247)
1.1266 +#249 := [rewrite]: #248
1.1267 +#242 := (iff #46 #241)
1.1268 +#239 := (= #45 #236)
1.1269 +#233 := (ite #227 #26 #44)
1.1270 +#237 := (= #233 #236)
1.1271 +#238 := [rewrite]: #237
1.1272 +#234 := (= #45 #233)
1.1273 +#235 := [monotonicity #232]: #234
1.1274 +#240 := [trans #235 #238]: #239
1.1275 +#243 := [monotonicity #240]: #242
1.1276 +#251 := [trans #243 #249]: #250
1.1277 +#273 := [monotonicity #251 #270]: #272
1.1278 +#178 := [asserted]: #51
1.1279 +#274 := [mp #178 #273]: #271
1.1280 +#275 := [and-elim #274]: #247
1.1281 +#196 := (* -1::real #31)
1.1282 +#212 := (+ #26 #196)
1.1283 +#213 := (<= #212 0::real)
1.1284 +#214 := (not #213)
1.1285 +#197 := (+ #28 #196)
1.1286 +#195 := (>= #197 0::real)
1.1287 +#193 := (not #195)
1.1288 +#219 := (and #193 #214)
1.1289 +#23 := (< #22 #22)
1.1290 +#35 := (ite #23 #34 #26)
1.1291 +#36 := (< #31 #35)
1.1292 +#29 := (ite #23 #26 #28)
1.1293 +#32 := (< #29 #31)
1.1294 +#37 := (and #32 #36)
1.1295 +#220 := (iff #37 #219)
1.1296 +#217 := (iff #36 #214)
1.1297 +#209 := (< #31 #26)
1.1298 +#215 := (iff #209 #214)
1.1299 +#216 := [rewrite]: #215
1.1300 +#210 := (iff #36 #209)
1.1301 +#207 := (= #35 #26)
1.1302 +#202 := (ite false #34 #26)
1.1303 +#205 := (= #202 #26)
1.1304 +#206 := [rewrite]: #205
1.1305 +#203 := (= #35 #202)
1.1306 +#180 := (iff #23 false)
1.1307 +#181 := [rewrite]: #180
1.1308 +#204 := [monotonicity #181]: #203
1.1309 +#208 := [trans #204 #206]: #207
1.1310 +#211 := [monotonicity #208]: #210
1.1311 +#218 := [trans #211 #216]: #217
1.1312 +#200 := (iff #32 #193)
1.1313 +#189 := (< #28 #31)
1.1314 +#198 := (iff #189 #193)
1.1315 +#199 := [rewrite]: #198
1.1316 +#190 := (iff #32 #189)
1.1317 +#187 := (= #29 #28)
1.1318 +#182 := (ite false #26 #28)
1.1319 +#185 := (= #182 #28)
1.1320 +#186 := [rewrite]: #185
1.1321 +#183 := (= #29 #182)
1.1322 +#184 := [monotonicity #181]: #183
1.1323 +#188 := [trans #184 #186]: #187
1.1324 +#191 := [monotonicity #188]: #190
1.1325 +#201 := [trans #191 #199]: #200
1.1326 +#221 := [monotonicity #201 #218]: #220
1.1327 +#177 := [asserted]: #37
1.1328 +#222 := [mp #177 #221]: #219
1.1329 +#224 := [and-elim #222]: #214
1.1330 +[th-lemma #224 #275 #689]: false
1.1331 +unsat
1.1332 +NX/HT1QOfbspC2LtZNKpBA 428 0
1.1333 +#2 := false
1.1334 +decl uf_10 :: T1
1.1335 +#38 := uf_10
1.1336 +decl uf_3 :: T1
1.1337 +#21 := uf_3
1.1338 +#45 := (= uf_3 uf_10)
1.1339 +decl uf_1 :: (-> int T1)
1.1340 +decl uf_2 :: (-> T1 int)
1.1341 +#39 := (uf_2 uf_10)
1.1342 +#588 := (uf_1 #39)
1.1343 +#686 := (= #588 uf_10)
1.1344 +#589 := (= uf_10 #588)
1.1345 +#4 := (:var 0 T1)
1.1346 +#5 := (uf_2 #4)
1.1347 +#541 := (pattern #5)
1.1348 +#6 := (uf_1 #5)
1.1349 +#93 := (= #4 #6)
1.1350 +#542 := (forall (vars (?x1 T1)) (:pat #541) #93)
1.1351 +#96 := (forall (vars (?x1 T1)) #93)
1.1352 +#545 := (iff #96 #542)
1.1353 +#543 := (iff #93 #93)
1.1354 +#544 := [refl]: #543
1.1355 +#546 := [quant-intro #544]: #545
1.1356 +#454 := (~ #96 #96)
1.1357 +#456 := (~ #93 #93)
1.1358 +#457 := [refl]: #456
1.1359 +#455 := [nnf-pos #457]: #454
1.1360 +#7 := (= #6 #4)
1.1361 +#8 := (forall (vars (?x1 T1)) #7)
1.1362 +#97 := (iff #8 #96)
1.1363 +#94 := (iff #7 #93)
1.1364 +#95 := [rewrite]: #94
1.1365 +#98 := [quant-intro #95]: #97
1.1366 +#92 := [asserted]: #8
1.1367 +#101 := [mp #92 #98]: #96
1.1368 +#452 := [mp~ #101 #455]: #96
1.1369 +#547 := [mp #452 #546]: #542
1.1370 +#590 := (not #542)
1.1371 +#595 := (or #590 #589)
1.1372 +#596 := [quant-inst]: #595
1.1373 +#680 := [unit-resolution #596 #547]: #589
1.1374 +#687 := [symm #680]: #686
1.1375 +#688 := (= uf_3 #588)
1.1376 +#22 := (uf_2 uf_3)
1.1377 +#586 := (uf_1 #22)
1.1378 +#684 := (= #586 #588)
1.1379 +#682 := (= #588 #586)
1.1380 +#678 := (= #39 #22)
1.1381 +#676 := (= #22 #39)
1.1382 +#9 := 0::int
1.1383 +#227 := -1::int
1.1384 +#230 := (* -1::int #39)
1.1385 +#231 := (+ #22 #230)
1.1386 +#296 := (<= #231 0::int)
1.1387 +#70 := (<= #22 #39)
1.1388 +#393 := (iff #70 #296)
1.1389 +#394 := [rewrite]: #393
1.1390 +#347 := [asserted]: #70
1.1391 +#395 := [mp #347 #394]: #296
1.1392 +#229 := (>= #231 0::int)
1.1393 +decl uf_4 :: (-> T2 T3 real)
1.1394 +decl uf_6 :: (-> T1 T3)
1.1395 +#25 := (uf_6 uf_3)
1.1396 +decl uf_7 :: T2
1.1397 +#27 := uf_7
1.1398 +#28 := (uf_4 uf_7 #25)
1.1399 +decl uf_9 :: T2
1.1400 +#33 := uf_9
1.1401 +#34 := (uf_4 uf_9 #25)
1.1402 +#46 := (uf_6 uf_10)
1.1403 +decl uf_5 :: T2
1.1404 +#24 := uf_5
1.1405 +#47 := (uf_4 uf_5 #46)
1.1406 +#48 := (ite #45 #47 #34)
1.1407 +#256 := (ite #229 #48 #28)
1.1408 +#568 := (= #28 #256)
1.1409 +#648 := (not #568)
1.1410 +#194 := 0::real
1.1411 +#192 := -1::real
1.1412 +#265 := (* -1::real #256)
1.1413 +#640 := (+ #28 #265)
1.1414 +#642 := (>= #640 0::real)
1.1415 +#645 := (not #642)
1.1416 +#643 := [hypothesis]: #642
1.1417 +decl uf_8 :: T2
1.1418 +#30 := uf_8
1.1419 +#31 := (uf_4 uf_8 #25)
1.1420 +#266 := (+ #31 #265)
1.1421 +#264 := (>= #266 0::real)
1.1422 +#267 := (not #264)
1.1423 +#26 := (uf_4 uf_5 #25)
1.1424 +decl uf_11 :: T2
1.1425 +#41 := uf_11
1.1426 +#42 := (uf_4 uf_11 #25)
1.1427 +#237 := (ite #229 #42 #26)
1.1428 +#245 := (* -1::real #237)
1.1429 +#246 := (+ #31 #245)
1.1430 +#247 := (<= #246 0::real)
1.1431 +#248 := (not #247)
1.1432 +#272 := (and #248 #267)
1.1433 +#40 := (< #22 #39)
1.1434 +#49 := (ite #40 #28 #48)
1.1435 +#50 := (< #31 #49)
1.1436 +#43 := (ite #40 #26 #42)
1.1437 +#44 := (< #43 #31)
1.1438 +#51 := (and #44 #50)
1.1439 +#273 := (iff #51 #272)
1.1440 +#270 := (iff #50 #267)
1.1441 +#261 := (< #31 #256)
1.1442 +#268 := (iff #261 #267)
1.1443 +#269 := [rewrite]: #268
1.1444 +#262 := (iff #50 #261)
1.1445 +#259 := (= #49 #256)
1.1446 +#228 := (not #229)
1.1447 +#253 := (ite #228 #28 #48)
1.1448 +#257 := (= #253 #256)
1.1449 +#258 := [rewrite]: #257
1.1450 +#254 := (= #49 #253)
1.1451 +#232 := (iff #40 #228)
1.1452 +#233 := [rewrite]: #232
1.1453 +#255 := [monotonicity #233]: #254
1.1454 +#260 := [trans #255 #258]: #259
1.1455 +#263 := [monotonicity #260]: #262
1.1456 +#271 := [trans #263 #269]: #270
1.1457 +#251 := (iff #44 #248)
1.1458 +#242 := (< #237 #31)
1.1459 +#249 := (iff #242 #248)
1.1460 +#250 := [rewrite]: #249
1.1461 +#243 := (iff #44 #242)
1.1462 +#240 := (= #43 #237)
1.1463 +#234 := (ite #228 #26 #42)
1.1464 +#238 := (= #234 #237)
1.1465 +#239 := [rewrite]: #238
1.1466 +#235 := (= #43 #234)
1.1467 +#236 := [monotonicity #233]: #235
1.1468 +#241 := [trans #236 #239]: #240
1.1469 +#244 := [monotonicity #241]: #243
1.1470 +#252 := [trans #244 #250]: #251
1.1471 +#274 := [monotonicity #252 #271]: #273
1.1472 +#178 := [asserted]: #51
1.1473 +#275 := [mp #178 #274]: #272
1.1474 +#277 := [and-elim #275]: #267
1.1475 +#196 := (* -1::real #31)
1.1476 +#197 := (+ #28 #196)
1.1477 +#195 := (>= #197 0::real)
1.1478 +#193 := (not #195)
1.1479 +#213 := (* -1::real #34)
1.1480 +#214 := (+ #31 #213)
1.1481 +#212 := (>= #214 0::real)
1.1482 +#215 := (not #212)
1.1483 +#220 := (and #193 #215)
1.1484 +#23 := (< #22 #22)
1.1485 +#35 := (ite #23 #28 #34)
1.1486 +#36 := (< #31 #35)
1.1487 +#29 := (ite #23 #26 #28)
1.1488 +#32 := (< #29 #31)
1.1489 +#37 := (and #32 #36)
1.1490 +#221 := (iff #37 #220)
1.1491 +#218 := (iff #36 #215)
1.1492 +#209 := (< #31 #34)
1.1493 +#216 := (iff #209 #215)
1.1494 +#217 := [rewrite]: #216
1.1495 +#210 := (iff #36 #209)
1.1496 +#207 := (= #35 #34)
1.1497 +#202 := (ite false #28 #34)
1.1498 +#205 := (= #202 #34)
1.1499 +#206 := [rewrite]: #205
1.1500 +#203 := (= #35 #202)
1.1501 +#180 := (iff #23 false)
1.1502 +#181 := [rewrite]: #180
1.1503 +#204 := [monotonicity #181]: #203
1.1504 +#208 := [trans #204 #206]: #207
1.1505 +#211 := [monotonicity #208]: #210
1.1506 +#219 := [trans #211 #217]: #218
1.1507 +#200 := (iff #32 #193)
1.1508 +#189 := (< #28 #31)
1.1509 +#198 := (iff #189 #193)
1.1510 +#199 := [rewrite]: #198
1.1511 +#190 := (iff #32 #189)
1.1512 +#187 := (= #29 #28)
1.1513 +#182 := (ite false #26 #28)
1.1514 +#185 := (= #182 #28)
1.1515 +#186 := [rewrite]: #185
1.1516 +#183 := (= #29 #182)
1.1517 +#184 := [monotonicity #181]: #183
1.1518 +#188 := [trans #184 #186]: #187
1.1519 +#191 := [monotonicity #188]: #190
1.1520 +#201 := [trans #191 #199]: #200
1.1521 +#222 := [monotonicity #201 #219]: #221
1.1522 +#177 := [asserted]: #37
1.1523 +#223 := [mp #177 #222]: #220
1.1524 +#224 := [and-elim #223]: #193
1.1525 +#644 := [th-lemma #224 #277 #643]: false
1.1526 +#646 := [lemma #644]: #645
1.1527 +#647 := [hypothesis]: #568
1.1528 +#649 := (or #648 #642)
1.1529 +#650 := [th-lemma]: #649
1.1530 +#651 := [unit-resolution #650 #647 #646]: false
1.1531 +#652 := [lemma #651]: #648
1.1532 +#578 := (or #229 #568)
1.1533 +#579 := [def-axiom]: #578
1.1534 +#675 := [unit-resolution #579 #652]: #229
1.1535 +#677 := [th-lemma #675 #395]: #676
1.1536 +#679 := [symm #677]: #678
1.1537 +#683 := [monotonicity #679]: #682
1.1538 +#685 := [symm #683]: #684
1.1539 +#587 := (= uf_3 #586)
1.1540 +#591 := (or #590 #587)
1.1541 +#592 := [quant-inst]: #591
1.1542 +#681 := [unit-resolution #592 #547]: #587
1.1543 +#689 := [trans #681 #685]: #688
1.1544 +#690 := [trans #689 #687]: #45
1.1545 +#571 := (not #45)
1.1546 +#54 := (uf_4 uf_11 #46)
1.1547 +#279 := (ite #45 #28 #54)
1.1548 +#465 := (* -1::real #279)
1.1549 +#632 := (+ #28 #465)
1.1550 +#633 := (<= #632 0::real)
1.1551 +#580 := (= #28 #279)
1.1552 +#656 := [hypothesis]: #45
1.1553 +#582 := (or #571 #580)
1.1554 +#583 := [def-axiom]: #582
1.1555 +#657 := [unit-resolution #583 #656]: #580
1.1556 +#658 := (not #580)
1.1557 +#659 := (or #658 #633)
1.1558 +#660 := [th-lemma]: #659
1.1559 +#661 := [unit-resolution #660 #657]: #633
1.1560 +#57 := (uf_4 uf_8 #46)
1.1561 +#363 := (* -1::real #57)
1.1562 +#379 := (+ #47 #363)
1.1563 +#380 := (<= #379 0::real)
1.1564 +#381 := (not #380)
1.1565 +#364 := (+ #54 #363)
1.1566 +#362 := (>= #364 0::real)
1.1567 +#361 := (not #362)
1.1568 +#386 := (and #361 #381)
1.1569 +#59 := (uf_4 uf_7 #46)
1.1570 +#64 := (< #39 #39)
1.1571 +#67 := (ite #64 #59 #47)
1.1572 +#68 := (< #57 #67)
1.1573 +#65 := (ite #64 #47 #54)
1.1574 +#66 := (< #65 #57)
1.1575 +#69 := (and #66 #68)
1.1576 +#387 := (iff #69 #386)
1.1577 +#384 := (iff #68 #381)
1.1578 +#376 := (< #57 #47)
1.1579 +#382 := (iff #376 #381)
1.1580 +#383 := [rewrite]: #382
1.1581 +#377 := (iff #68 #376)
1.1582 +#374 := (= #67 #47)
1.1583 +#369 := (ite false #59 #47)
1.1584 +#372 := (= #369 #47)
1.1585 +#373 := [rewrite]: #372
1.1586 +#370 := (= #67 #369)
1.1587 +#349 := (iff #64 false)
1.1588 +#350 := [rewrite]: #349
1.1589 +#371 := [monotonicity #350]: #370
1.1590 +#375 := [trans #371 #373]: #374
1.1591 +#378 := [monotonicity #375]: #377
1.1592 +#385 := [trans #378 #383]: #384
1.1593 +#367 := (iff #66 #361)
1.1594 +#358 := (< #54 #57)
1.1595 +#365 := (iff #358 #361)
1.1596 +#366 := [rewrite]: #365
1.1597 +#359 := (iff #66 #358)
1.1598 +#356 := (= #65 #54)
1.1599 +#351 := (ite false #47 #54)
1.1600 +#354 := (= #351 #54)
1.1601 +#355 := [rewrite]: #354
1.1602 +#352 := (= #65 #351)
1.1603 +#353 := [monotonicity #350]: #352
1.1604 +#357 := [trans #353 #355]: #356
1.1605 +#360 := [monotonicity #357]: #359
1.1606 +#368 := [trans #360 #366]: #367
1.1607 +#388 := [monotonicity #368 #385]: #387
1.1608 +#346 := [asserted]: #69
1.1609 +#389 := [mp #346 #388]: #386
1.1610 +#391 := [and-elim #389]: #381
1.1611 +#397 := (* -1::real #59)
1.1612 +#398 := (+ #47 #397)
1.1613 +#399 := (<= #398 0::real)
1.1614 +#409 := (* -1::real #54)
1.1615 +#410 := (+ #47 #409)
1.1616 +#408 := (>= #410 0::real)
1.1617 +#60 := (uf_4 uf_9 #46)
1.1618 +#402 := (* -1::real #60)
1.1619 +#403 := (+ #59 #402)
1.1620 +#404 := (<= #403 0::real)
1.1621 +#418 := (and #399 #404 #408)
1.1622 +#73 := (<= #59 #60)
1.1623 +#72 := (<= #47 #59)
1.1624 +#74 := (and #72 #73)
1.1625 +#71 := (<= #54 #47)
1.1626 +#75 := (and #71 #74)
1.1627 +#421 := (iff #75 #418)
1.1628 +#412 := (and #399 #404)
1.1629 +#415 := (and #408 #412)
1.1630 +#419 := (iff #415 #418)
1.1631 +#420 := [rewrite]: #419
1.1632 +#416 := (iff #75 #415)
1.1633 +#413 := (iff #74 #412)
1.1634 +#405 := (iff #73 #404)
1.1635 +#406 := [rewrite]: #405
1.1636 +#400 := (iff #72 #399)
1.1637 +#401 := [rewrite]: #400
1.1638 +#414 := [monotonicity #401 #406]: #413
1.1639 +#407 := (iff #71 #408)
1.1640 +#411 := [rewrite]: #407
1.1641 +#417 := [monotonicity #411 #414]: #416
1.1642 +#422 := [trans #417 #420]: #421
1.1643 +#348 := [asserted]: #75
1.1644 +#423 := [mp #348 #422]: #418
1.1645 +#424 := [and-elim #423]: #399
1.1646 +#637 := (+ #28 #397)
1.1647 +#639 := (>= #637 0::real)
1.1648 +#636 := (= #28 #59)
1.1649 +#666 := (= #59 #28)
1.1650 +#664 := (= #46 #25)
1.1651 +#662 := (= #25 #46)
1.1652 +#663 := [monotonicity #656]: #662
1.1653 +#665 := [symm #663]: #664
1.1654 +#667 := [monotonicity #665]: #666
1.1655 +#668 := [symm #667]: #636
1.1656 +#669 := (not #636)
1.1657 +#670 := (or #669 #639)
1.1658 +#671 := [th-lemma]: #670
1.1659 +#672 := [unit-resolution #671 #668]: #639
1.1660 +#468 := (+ #57 #465)
1.1661 +#471 := (<= #468 0::real)
1.1662 +#444 := (not #471)
1.1663 +#322 := (ite #296 #279 #47)
1.1664 +#330 := (* -1::real #322)
1.1665 +#331 := (+ #57 #330)
1.1666 +#332 := (<= #331 0::real)
1.1667 +#333 := (not #332)
1.1668 +#445 := (iff #333 #444)
1.1669 +#472 := (iff #332 #471)
1.1670 +#469 := (= #331 #468)
1.1671 +#466 := (= #330 #465)
1.1672 +#463 := (= #322 #279)
1.1673 +#1 := true
1.1674 +#458 := (ite true #279 #47)
1.1675 +#461 := (= #458 #279)
1.1676 +#462 := [rewrite]: #461
1.1677 +#459 := (= #322 #458)
1.1678 +#450 := (iff #296 true)
1.1679 +#451 := [iff-true #395]: #450
1.1680 +#460 := [monotonicity #451]: #459
1.1681 +#464 := [trans #460 #462]: #463
1.1682 +#467 := [monotonicity #464]: #466
1.1683 +#470 := [monotonicity #467]: #469
1.1684 +#473 := [monotonicity #470]: #472
1.1685 +#474 := [monotonicity #473]: #445
1.1686 +#303 := (ite #296 #60 #59)
1.1687 +#313 := (* -1::real #303)
1.1688 +#314 := (+ #57 #313)
1.1689 +#312 := (>= #314 0::real)
1.1690 +#311 := (not #312)
1.1691 +#338 := (and #311 #333)
1.1692 +#52 := (< #39 #22)
1.1693 +#61 := (ite #52 #59 #60)
1.1694 +#62 := (< #57 #61)
1.1695 +#53 := (= uf_10 uf_3)
1.1696 +#55 := (ite #53 #28 #54)
1.1697 +#56 := (ite #52 #47 #55)
1.1698 +#58 := (< #56 #57)
1.1699 +#63 := (and #58 #62)
1.1700 +#341 := (iff #63 #338)
1.1701 +#282 := (ite #52 #47 #279)
1.1702 +#285 := (< #282 #57)
1.1703 +#291 := (and #62 #285)
1.1704 +#339 := (iff #291 #338)
1.1705 +#336 := (iff #285 #333)
1.1706 +#327 := (< #322 #57)
1.1707 +#334 := (iff #327 #333)
1.1708 +#335 := [rewrite]: #334
1.1709 +#328 := (iff #285 #327)
1.1710 +#325 := (= #282 #322)
1.1711 +#297 := (not #296)
1.1712 +#319 := (ite #297 #47 #279)
1.1713 +#323 := (= #319 #322)
1.1714 +#324 := [rewrite]: #323
1.1715 +#320 := (= #282 #319)
1.1716 +#298 := (iff #52 #297)
1.1717 +#299 := [rewrite]: #298
1.1718 +#321 := [monotonicity #299]: #320
1.1719 +#326 := [trans #321 #324]: #325
1.1720 +#329 := [monotonicity #326]: #328
1.1721 +#337 := [trans #329 #335]: #336
1.1722 +#317 := (iff #62 #311)
1.1723 +#308 := (< #57 #303)
1.1724 +#315 := (iff #308 #311)
1.1725 +#316 := [rewrite]: #315
1.1726 +#309 := (iff #62 #308)
1.1727 +#306 := (= #61 #303)
1.1728 +#300 := (ite #297 #59 #60)
1.1729 +#304 := (= #300 #303)
1.1730 +#305 := [rewrite]: #304
1.1731 +#301 := (= #61 #300)
1.1732 +#302 := [monotonicity #299]: #301
1.1733 +#307 := [trans #302 #305]: #306
1.1734 +#310 := [monotonicity #307]: #309
1.1735 +#318 := [trans #310 #316]: #317
1.1736 +#340 := [monotonicity #318 #337]: #339
1.1737 +#294 := (iff #63 #291)
1.1738 +#288 := (and #285 #62)
1.1739 +#292 := (iff #288 #291)
1.1740 +#293 := [rewrite]: #292
1.1741 +#289 := (iff #63 #288)
1.1742 +#286 := (iff #58 #285)
1.1743 +#283 := (= #56 #282)
1.1744 +#280 := (= #55 #279)
1.1745 +#226 := (iff #53 #45)
1.1746 +#278 := [rewrite]: #226
1.1747 +#281 := [monotonicity #278]: #280
1.1748 +#284 := [monotonicity #281]: #283
1.1749 +#287 := [monotonicity #284]: #286
1.1750 +#290 := [monotonicity #287]: #289
1.1751 +#295 := [trans #290 #293]: #294
1.1752 +#342 := [trans #295 #340]: #341
1.1753 +#179 := [asserted]: #63
1.1754 +#343 := [mp #179 #342]: #338
1.1755 +#345 := [and-elim #343]: #333
1.1756 +#475 := [mp #345 #474]: #444
1.1757 +#673 := [th-lemma #475 #672 #424 #391 #661]: false
1.1758 +#674 := [lemma #673]: #571
1.1759 +[unit-resolution #674 #690]: false
1.1760 +unsat
1.1761 +IL2powemHjRpCJYwmXFxyw 211 0
1.1762 +#2 := false
1.1763 +#33 := 0::real
1.1764 +decl uf_11 :: (-> T5 T6 real)
1.1765 +decl uf_15 :: T6
1.1766 +#28 := uf_15
1.1767 +decl uf_16 :: T5
1.1768 +#30 := uf_16
1.1769 +#31 := (uf_11 uf_16 uf_15)
1.1770 +decl uf_12 :: (-> T7 T8 T5)
1.1771 +decl uf_14 :: T8
1.1772 +#26 := uf_14
1.1773 +decl uf_13 :: (-> T1 T7)
1.1774 +decl uf_8 :: T1
1.1775 +#16 := uf_8
1.1776 +#25 := (uf_13 uf_8)
1.1777 +#27 := (uf_12 #25 uf_14)
1.1778 +#29 := (uf_11 #27 uf_15)
1.1779 +#73 := -1::real
1.1780 +#84 := (* -1::real #29)
1.1781 +#85 := (+ #84 #31)
1.1782 +#74 := (* -1::real #31)
1.1783 +#75 := (+ #29 #74)
1.1784 +#112 := (>= #75 0::real)
1.1785 +#119 := (ite #112 #75 #85)
1.1786 +#127 := (* -1::real #119)
1.1787 +decl uf_17 :: T5
1.1788 +#37 := uf_17
1.1789 +#38 := (uf_11 uf_17 uf_15)
1.1790 +#102 := -1/3::real
1.1791 +#103 := (* -1/3::real #38)
1.1792 +#128 := (+ #103 #127)
1.1793 +#100 := 1/3::real
1.1794 +#101 := (* 1/3::real #31)
1.1795 +#129 := (+ #101 #128)
1.1796 +#130 := (<= #129 0::real)
1.1797 +#131 := (not #130)
1.1798 +#40 := 3::real
1.1799 +#39 := (- #31 #38)
1.1800 +#41 := (/ #39 3::real)
1.1801 +#32 := (- #29 #31)
1.1802 +#35 := (- #32)
1.1803 +#34 := (< #32 0::real)
1.1804 +#36 := (ite #34 #35 #32)
1.1805 +#42 := (< #36 #41)
1.1806 +#136 := (iff #42 #131)
1.1807 +#104 := (+ #101 #103)
1.1808 +#78 := (< #75 0::real)
1.1809 +#90 := (ite #78 #85 #75)
1.1810 +#109 := (< #90 #104)
1.1811 +#134 := (iff #109 #131)
1.1812 +#124 := (< #119 #104)
1.1813 +#132 := (iff #124 #131)
1.1814 +#133 := [rewrite]: #132
1.1815 +#125 := (iff #109 #124)
1.1816 +#122 := (= #90 #119)
1.1817 +#113 := (not #112)
1.1818 +#116 := (ite #113 #85 #75)
1.1819 +#120 := (= #116 #119)
1.1820 +#121 := [rewrite]: #120
1.1821 +#117 := (= #90 #116)
1.1822 +#114 := (iff #78 #113)
1.1823 +#115 := [rewrite]: #114
1.1824 +#118 := [monotonicity #115]: #117
1.1825 +#123 := [trans #118 #121]: #122
1.1826 +#126 := [monotonicity #123]: #125
1.1827 +#135 := [trans #126 #133]: #134
1.1828 +#110 := (iff #42 #109)
1.1829 +#107 := (= #41 #104)
1.1830 +#93 := (* -1::real #38)
1.1831 +#94 := (+ #31 #93)
1.1832 +#97 := (/ #94 3::real)
1.1833 +#105 := (= #97 #104)
1.1834 +#106 := [rewrite]: #105
1.1835 +#98 := (= #41 #97)
1.1836 +#95 := (= #39 #94)
1.1837 +#96 := [rewrite]: #95
1.1838 +#99 := [monotonicity #96]: #98
1.1839 +#108 := [trans #99 #106]: #107
1.1840 +#91 := (= #36 #90)
1.1841 +#76 := (= #32 #75)
1.1842 +#77 := [rewrite]: #76
1.1843 +#88 := (= #35 #85)
1.1844 +#81 := (- #75)
1.1845 +#86 := (= #81 #85)
1.1846 +#87 := [rewrite]: #86
1.1847 +#82 := (= #35 #81)
1.1848 +#83 := [monotonicity #77]: #82
1.1849 +#89 := [trans #83 #87]: #88
1.1850 +#79 := (iff #34 #78)
1.1851 +#80 := [monotonicity #77]: #79
1.1852 +#92 := [monotonicity #80 #89 #77]: #91
1.1853 +#111 := [monotonicity #92 #108]: #110
1.1854 +#137 := [trans #111 #135]: #136
1.1855 +#72 := [asserted]: #42
1.1856 +#138 := [mp #72 #137]: #131
1.1857 +decl uf_1 :: T1
1.1858 +#4 := uf_1
1.1859 +#43 := (uf_13 uf_1)
1.1860 +#44 := (uf_12 #43 uf_14)
1.1861 +#45 := (uf_11 #44 uf_15)
1.1862 +#149 := (* -1::real #45)
1.1863 +#150 := (+ #38 #149)
1.1864 +#140 := (+ #93 #45)
1.1865 +#161 := (<= #150 0::real)
1.1866 +#168 := (ite #161 #140 #150)
1.1867 +#176 := (* -1::real #168)
1.1868 +#177 := (+ #103 #176)
1.1869 +#178 := (+ #101 #177)
1.1870 +#179 := (<= #178 0::real)
1.1871 +#180 := (not #179)
1.1872 +#46 := (- #45 #38)
1.1873 +#48 := (- #46)
1.1874 +#47 := (< #46 0::real)
1.1875 +#49 := (ite #47 #48 #46)
1.1876 +#50 := (< #49 #41)
1.1877 +#185 := (iff #50 #180)
1.1878 +#143 := (< #140 0::real)
1.1879 +#155 := (ite #143 #150 #140)
1.1880 +#158 := (< #155 #104)
1.1881 +#183 := (iff #158 #180)
1.1882 +#173 := (< #168 #104)
1.1883 +#181 := (iff #173 #180)
1.1884 +#182 := [rewrite]: #181
1.1885 +#174 := (iff #158 #173)
1.1886 +#171 := (= #155 #168)
1.1887 +#162 := (not #161)
1.1888 +#165 := (ite #162 #150 #140)
1.1889 +#169 := (= #165 #168)
1.1890 +#170 := [rewrite]: #169
1.1891 +#166 := (= #155 #165)
1.1892 +#163 := (iff #143 #162)
1.1893 +#164 := [rewrite]: #163
1.1894 +#167 := [monotonicity #164]: #166
1.1895 +#172 := [trans #167 #170]: #171
1.1896 +#175 := [monotonicity #172]: #174
1.1897 +#184 := [trans #175 #182]: #183
1.1898 +#159 := (iff #50 #158)
1.1899 +#156 := (= #49 #155)
1.1900 +#141 := (= #46 #140)
1.1901 +#142 := [rewrite]: #141
1.1902 +#153 := (= #48 #150)
1.1903 +#146 := (- #140)
1.1904 +#151 := (= #146 #150)
1.1905 +#152 := [rewrite]: #151
1.1906 +#147 := (= #48 #146)
1.1907 +#148 := [monotonicity #142]: #147
1.1908 +#154 := [trans #148 #152]: #153
1.1909 +#144 := (iff #47 #143)
1.1910 +#145 := [monotonicity #142]: #144
1.1911 +#157 := [monotonicity #145 #154 #142]: #156
1.1912 +#160 := [monotonicity #157 #108]: #159
1.1913 +#186 := [trans #160 #184]: #185
1.1914 +#139 := [asserted]: #50
1.1915 +#187 := [mp #139 #186]: #180
1.1916 +#299 := (+ #140 #176)
1.1917 +#300 := (<= #299 0::real)
1.1918 +#290 := (= #140 #168)
1.1919 +#329 := [hypothesis]: #162
1.1920 +#191 := (+ #29 #149)
1.1921 +#192 := (<= #191 0::real)
1.1922 +#51 := (<= #29 #45)
1.1923 +#193 := (iff #51 #192)
1.1924 +#194 := [rewrite]: #193
1.1925 +#188 := [asserted]: #51
1.1926 +#195 := [mp #188 #194]: #192
1.1927 +#298 := (+ #75 #127)
1.1928 +#301 := (<= #298 0::real)
1.1929 +#284 := (= #75 #119)
1.1930 +#302 := [hypothesis]: #113
1.1931 +#296 := (+ #85 #127)
1.1932 +#297 := (<= #296 0::real)
1.1933 +#285 := (= #85 #119)
1.1934 +#288 := (or #112 #285)
1.1935 +#289 := [def-axiom]: #288
1.1936 +#303 := [unit-resolution #289 #302]: #285
1.1937 +#304 := (not #285)
1.1938 +#305 := (or #304 #297)
1.1939 +#306 := [th-lemma]: #305
1.1940 +#307 := [unit-resolution #306 #303]: #297
1.1941 +#315 := (not #290)
1.1942 +#310 := (not #300)
1.1943 +#311 := (or #310 #112)
1.1944 +#308 := [hypothesis]: #300
1.1945 +#309 := [th-lemma #308 #307 #138 #302 #187 #195]: false
1.1946 +#312 := [lemma #309]: #311
1.1947 +#322 := [unit-resolution #312 #302]: #310
1.1948 +#316 := (or #315 #300)
1.1949 +#313 := [hypothesis]: #310
1.1950 +#314 := [hypothesis]: #290
1.1951 +#317 := [th-lemma]: #316
1.1952 +#318 := [unit-resolution #317 #314 #313]: false
1.1953 +#319 := [lemma #318]: #316
1.1954 +#323 := [unit-resolution #319 #322]: #315
1.1955 +#292 := (or #162 #290)
1.1956 +#293 := [def-axiom]: #292
1.1957 +#324 := [unit-resolution #293 #323]: #162
1.1958 +#325 := [th-lemma #324 #307 #138 #302 #195]: false
1.1959 +#326 := [lemma #325]: #112
1.1960 +#286 := (or #113 #284)
1.1961 +#287 := [def-axiom]: #286
1.1962 +#330 := [unit-resolution #287 #326]: #284
1.1963 +#331 := (not #284)
1.1964 +#332 := (or #331 #301)
1.1965 +#333 := [th-lemma]: #332
1.1966 +#334 := [unit-resolution #333 #330]: #301
1.1967 +#335 := [th-lemma #326 #334 #195 #329 #138]: false
1.1968 +#336 := [lemma #335]: #161
1.1969 +#327 := [unit-resolution #293 #336]: #290
1.1970 +#328 := [unit-resolution #319 #327]: #300
1.1971 +[th-lemma #326 #334 #195 #328 #187 #138]: false
1.1972 +unsat
1.1973 +GX51o3DUO/UBS3eNP2P9kA 285 0
1.1974 +#2 := false
1.1975 +#7 := 0::real
1.1976 +decl uf_4 :: real
1.1977 +#16 := uf_4
1.1978 +#40 := -1::real
1.1979 +#116 := (* -1::real uf_4)
1.1980 +decl uf_3 :: real
1.1981 +#11 := uf_3
1.1982 +#117 := (+ uf_3 #116)
1.1983 +#128 := (<= #117 0::real)
1.1984 +#129 := (not #128)
1.1985 +#220 := 2/3::real
1.1986 +#221 := (* 2/3::real uf_3)
1.1987 +#222 := (+ #221 #116)
1.1988 +decl uf_2 :: real
1.1989 +#5 := uf_2
1.1990 +#67 := 1/3::real
1.1991 +#68 := (* 1/3::real uf_2)
1.1992 +#233 := (+ #68 #222)
1.1993 +#243 := (<= #233 0::real)
1.1994 +#268 := (not #243)
1.1995 +#287 := [hypothesis]: #268
1.1996 +#41 := (* -1::real uf_2)
1.1997 +decl uf_1 :: real
1.1998 +#4 := uf_1
1.1999 +#42 := (+ uf_1 #41)
1.2000 +#79 := (>= #42 0::real)
1.2001 +#80 := (not #79)
1.2002 +#297 := (or #80 #243)
1.2003 +#158 := (+ uf_1 #116)
1.2004 +#159 := (<= #158 0::real)
1.2005 +#22 := (<= uf_1 uf_4)
1.2006 +#160 := (iff #22 #159)
1.2007 +#161 := [rewrite]: #160
1.2008 +#155 := [asserted]: #22
1.2009 +#162 := [mp #155 #161]: #159
1.2010 +#200 := (* 1/3::real uf_3)
1.2011 +#198 := -4/3::real
1.2012 +#199 := (* -4/3::real uf_2)
1.2013 +#201 := (+ #199 #200)
1.2014 +#202 := (+ uf_1 #201)
1.2015 +#203 := (>= #202 0::real)
1.2016 +#258 := (not #203)
1.2017 +#292 := [hypothesis]: #79
1.2018 +#293 := (or #80 #258)
1.2019 +#69 := -1/3::real
1.2020 +#70 := (* -1/3::real uf_3)
1.2021 +#186 := -2/3::real
1.2022 +#187 := (* -2/3::real uf_2)
1.2023 +#188 := (+ #187 #70)
1.2024 +#189 := (+ uf_1 #188)
1.2025 +#204 := (<= #189 0::real)
1.2026 +#205 := (ite #79 #203 #204)
1.2027 +#210 := (not #205)
1.2028 +#51 := (* -1::real uf_1)
1.2029 +#52 := (+ #51 uf_2)
1.2030 +#86 := (ite #79 #42 #52)
1.2031 +#94 := (* -1::real #86)
1.2032 +#95 := (+ #70 #94)
1.2033 +#96 := (+ #68 #95)
1.2034 +#97 := (<= #96 0::real)
1.2035 +#98 := (not #97)
1.2036 +#211 := (iff #98 #210)
1.2037 +#208 := (iff #97 #205)
1.2038 +#182 := 4/3::real
1.2039 +#183 := (* 4/3::real uf_2)
1.2040 +#184 := (+ #183 #70)
1.2041 +#185 := (+ #51 #184)
1.2042 +#190 := (ite #79 #185 #189)
1.2043 +#195 := (<= #190 0::real)
1.2044 +#206 := (iff #195 #205)
1.2045 +#207 := [rewrite]: #206
1.2046 +#196 := (iff #97 #195)
1.2047 +#193 := (= #96 #190)
1.2048 +#172 := (+ #41 #70)
1.2049 +#173 := (+ uf_1 #172)
1.2050 +#170 := (+ uf_2 #70)
1.2051 +#171 := (+ #51 #170)
1.2052 +#174 := (ite #79 #171 #173)
1.2053 +#179 := (+ #68 #174)
1.2054 +#191 := (= #179 #190)
1.2055 +#192 := [rewrite]: #191
1.2056 +#180 := (= #96 #179)
1.2057 +#177 := (= #95 #174)
1.2058 +#164 := (ite #79 #52 #42)
1.2059 +#167 := (+ #70 #164)
1.2060 +#175 := (= #167 #174)
1.2061 +#176 := [rewrite]: #175
1.2062 +#168 := (= #95 #167)
1.2063 +#156 := (= #94 #164)
1.2064 +#165 := [rewrite]: #156
1.2065 +#169 := [monotonicity #165]: #168
1.2066 +#178 := [trans #169 #176]: #177
1.2067 +#181 := [monotonicity #178]: #180
1.2068 +#194 := [trans #181 #192]: #193
1.2069 +#197 := [monotonicity #194]: #196
1.2070 +#209 := [trans #197 #207]: #208
1.2071 +#212 := [monotonicity #209]: #211
1.2072 +#13 := 3::real
1.2073 +#12 := (- uf_2 uf_3)
1.2074 +#14 := (/ #12 3::real)
1.2075 +#6 := (- uf_1 uf_2)
1.2076 +#9 := (- #6)
1.2077 +#8 := (< #6 0::real)
1.2078 +#10 := (ite #8 #9 #6)
1.2079 +#15 := (< #10 #14)
1.2080 +#103 := (iff #15 #98)
1.2081 +#71 := (+ #68 #70)
1.2082 +#45 := (< #42 0::real)
1.2083 +#57 := (ite #45 #52 #42)
1.2084 +#76 := (< #57 #71)
1.2085 +#101 := (iff #76 #98)
1.2086 +#91 := (< #86 #71)
1.2087 +#99 := (iff #91 #98)
1.2088 +#100 := [rewrite]: #99
1.2089 +#92 := (iff #76 #91)
1.2090 +#89 := (= #57 #86)
1.2091 +#83 := (ite #80 #52 #42)
1.2092 +#87 := (= #83 #86)
1.2093 +#88 := [rewrite]: #87
1.2094 +#84 := (= #57 #83)
1.2095 +#81 := (iff #45 #80)
1.2096 +#82 := [rewrite]: #81
1.2097 +#85 := [monotonicity #82]: #84
1.2098 +#90 := [trans #85 #88]: #89
1.2099 +#93 := [monotonicity #90]: #92
1.2100 +#102 := [trans #93 #100]: #101
1.2101 +#77 := (iff #15 #76)
1.2102 +#74 := (= #14 #71)
1.2103 +#60 := (* -1::real uf_3)
1.2104 +#61 := (+ uf_2 #60)
1.2105 +#64 := (/ #61 3::real)
1.2106 +#72 := (= #64 #71)
1.2107 +#73 := [rewrite]: #72
1.2108 +#65 := (= #14 #64)
1.2109 +#62 := (= #12 #61)
1.2110 +#63 := [rewrite]: #62
1.2111 +#66 := [monotonicity #63]: #65
1.2112 +#75 := [trans #66 #73]: #74
1.2113 +#58 := (= #10 #57)
1.2114 +#43 := (= #6 #42)
1.2115 +#44 := [rewrite]: #43
1.2116 +#55 := (= #9 #52)
1.2117 +#48 := (- #42)
1.2118 +#53 := (= #48 #52)
1.2119 +#54 := [rewrite]: #53
1.2120 +#49 := (= #9 #48)
1.2121 +#50 := [monotonicity #44]: #49
1.2122 +#56 := [trans #50 #54]: #55
1.2123 +#46 := (iff #8 #45)
1.2124 +#47 := [monotonicity #44]: #46
1.2125 +#59 := [monotonicity #47 #56 #44]: #58
1.2126 +#78 := [monotonicity #59 #75]: #77
1.2127 +#104 := [trans #78 #102]: #103
1.2128 +#39 := [asserted]: #15
1.2129 +#105 := [mp #39 #104]: #98
1.2130 +#213 := [mp #105 #212]: #210
1.2131 +#259 := (or #205 #80 #258)
1.2132 +#260 := [def-axiom]: #259
1.2133 +#294 := [unit-resolution #260 #213]: #293
1.2134 +#295 := [unit-resolution #294 #292]: #258
1.2135 +#296 := [th-lemma #287 #292 #295 #162]: false
1.2136 +#298 := [lemma #296]: #297
1.2137 +#299 := [unit-resolution #298 #287]: #80
1.2138 +#261 := (not #204)
1.2139 +#281 := (or #79 #261)
1.2140 +#262 := (or #205 #79 #261)
1.2141 +#263 := [def-axiom]: #262
1.2142 +#282 := [unit-resolution #263 #213]: #281
1.2143 +#300 := [unit-resolution #282 #299]: #261
1.2144 +#290 := (or #79 #204 #243)
1.2145 +#276 := [hypothesis]: #261
1.2146 +#288 := [hypothesis]: #80
1.2147 +#289 := [th-lemma #288 #276 #162 #287]: false
1.2148 +#291 := [lemma #289]: #290
1.2149 +#301 := [unit-resolution #291 #300 #299 #287]: false
1.2150 +#302 := [lemma #301]: #243
1.2151 +#303 := (or #129 #268)
1.2152 +#223 := (* -4/3::real uf_3)
1.2153 +#224 := (+ #223 uf_4)
1.2154 +#234 := (+ #68 #224)
1.2155 +#244 := (<= #234 0::real)
1.2156 +#245 := (ite #128 #243 #244)
1.2157 +#250 := (not #245)
1.2158 +#107 := (+ #60 uf_4)
1.2159 +#135 := (ite #128 #107 #117)
1.2160 +#143 := (* -1::real #135)
1.2161 +#144 := (+ #70 #143)
1.2162 +#145 := (+ #68 #144)
1.2163 +#146 := (<= #145 0::real)
1.2164 +#147 := (not #146)
1.2165 +#251 := (iff #147 #250)
1.2166 +#248 := (iff #146 #245)
1.2167 +#235 := (ite #128 #233 #234)
1.2168 +#240 := (<= #235 0::real)
1.2169 +#246 := (iff #240 #245)
1.2170 +#247 := [rewrite]: #246
1.2171 +#241 := (iff #146 #240)
1.2172 +#238 := (= #145 #235)
1.2173 +#225 := (ite #128 #222 #224)
1.2174 +#230 := (+ #68 #225)
1.2175 +#236 := (= #230 #235)
1.2176 +#237 := [rewrite]: #236
1.2177 +#231 := (= #145 #230)
1.2178 +#228 := (= #144 #225)
1.2179 +#214 := (ite #128 #117 #107)
1.2180 +#217 := (+ #70 #214)
1.2181 +#226 := (= #217 #225)
1.2182 +#227 := [rewrite]: #226
1.2183 +#218 := (= #144 #217)
1.2184 +#215 := (= #143 #214)
1.2185 +#216 := [rewrite]: #215
1.2186 +#219 := [monotonicity #216]: #218
1.2187 +#229 := [trans #219 #227]: #228
1.2188 +#232 := [monotonicity #229]: #231
1.2189 +#239 := [trans #232 #237]: #238
1.2190 +#242 := [monotonicity #239]: #241
1.2191 +#249 := [trans #242 #247]: #248
1.2192 +#252 := [monotonicity #249]: #251
1.2193 +#17 := (- uf_4 uf_3)
1.2194 +#19 := (- #17)
1.2195 +#18 := (< #17 0::real)
1.2196 +#20 := (ite #18 #19 #17)
1.2197 +#21 := (< #20 #14)
1.2198 +#152 := (iff #21 #147)
1.2199 +#110 := (< #107 0::real)
1.2200 +#122 := (ite #110 #117 #107)
1.2201 +#125 := (< #122 #71)
1.2202 +#150 := (iff #125 #147)
1.2203 +#140 := (< #135 #71)
1.2204 +#148 := (iff #140 #147)
1.2205 +#149 := [rewrite]: #148
1.2206 +#141 := (iff #125 #140)
1.2207 +#138 := (= #122 #135)
1.2208 +#132 := (ite #129 #117 #107)
1.2209 +#136 := (= #132 #135)
1.2210 +#137 := [rewrite]: #136
1.2211 +#133 := (= #122 #132)
1.2212 +#130 := (iff #110 #129)
1.2213 +#131 := [rewrite]: #130
1.2214 +#134 := [monotonicity #131]: #133
1.2215 +#139 := [trans #134 #137]: #138
1.2216 +#142 := [monotonicity #139]: #141
1.2217 +#151 := [trans #142 #149]: #150
1.2218 +#126 := (iff #21 #125)
1.2219 +#123 := (= #20 #122)
1.2220 +#108 := (= #17 #107)
1.2221 +#109 := [rewrite]: #108
1.2222 +#120 := (= #19 #117)
1.2223 +#113 := (- #107)
1.2224 +#118 := (= #113 #117)
1.2225 +#119 := [rewrite]: #118
1.2226 +#114 := (= #19 #113)
1.2227 +#115 := [monotonicity #109]: #114
1.2228 +#121 := [trans #115 #119]: #120
1.2229 +#111 := (iff #18 #110)
1.2230 +#112 := [monotonicity #109]: #111
1.2231 +#124 := [monotonicity #112 #121 #109]: #123
1.2232 +#127 := [monotonicity #124 #75]: #126
1.2233 +#153 := [trans #127 #151]: #152
1.2234 +#106 := [asserted]: #21
1.2235 +#154 := [mp #106 #153]: #147
1.2236 +#253 := [mp #154 #252]: #250
1.2237 +#269 := (or #245 #129 #268)
1.2238 +#270 := [def-axiom]: #269
1.2239 +#304 := [unit-resolution #270 #253]: #303
1.2240 +#305 := [unit-resolution #304 #302]: #129
1.2241 +#271 := (not #244)
1.2242 +#306 := (or #128 #271)
1.2243 +#272 := (or #245 #128 #271)
1.2244 +#273 := [def-axiom]: #272
1.2245 +#307 := [unit-resolution #273 #253]: #306
1.2246 +#308 := [unit-resolution #307 #305]: #271
1.2247 +#285 := (or #128 #244)
1.2248 +#274 := [hypothesis]: #271
1.2249 +#275 := [hypothesis]: #129
1.2250 +#278 := (or #204 #128 #244)
1.2251 +#277 := [th-lemma #276 #275 #274 #162]: false
1.2252 +#279 := [lemma #277]: #278
1.2253 +#280 := [unit-resolution #279 #275 #274]: #204
1.2254 +#283 := [unit-resolution #282 #280]: #79
1.2255 +#284 := [th-lemma #275 #274 #283 #162]: false
1.2256 +#286 := [lemma #284]: #285
1.2257 +[unit-resolution #286 #308 #305]: false
1.2258 +unsat
1.2259 +cebG074uorSr8ODzgTmcKg 97 0
1.2260 +#2 := false
1.2261 +#18 := 0::real
1.2262 +decl uf_1 :: (-> T2 T1 real)
1.2263 +decl uf_5 :: T1
1.2264 +#11 := uf_5
1.2265 +decl uf_2 :: T2
1.2266 +#4 := uf_2
1.2267 +#20 := (uf_1 uf_2 uf_5)
1.2268 +#42 := -1::real
1.2269 +#53 := (* -1::real #20)
1.2270 +decl uf_3 :: T2
1.2271 +#7 := uf_3
1.2272 +#19 := (uf_1 uf_3 uf_5)
1.2273 +#54 := (+ #19 #53)
1.2274 +#63 := (<= #54 0::real)
1.2275 +#21 := (- #19 #20)
1.2276 +#22 := (< 0::real #21)
1.2277 +#23 := (not #22)
1.2278 +#74 := (iff #23 #63)
1.2279 +#57 := (< 0::real #54)
1.2280 +#60 := (not #57)
1.2281 +#72 := (iff #60 #63)
1.2282 +#64 := (not #63)
1.2283 +#67 := (not #64)
1.2284 +#70 := (iff #67 #63)
1.2285 +#71 := [rewrite]: #70
1.2286 +#68 := (iff #60 #67)
1.2287 +#65 := (iff #57 #64)
1.2288 +#66 := [rewrite]: #65
1.2289 +#69 := [monotonicity #66]: #68
1.2290 +#73 := [trans #69 #71]: #72
1.2291 +#61 := (iff #23 #60)
1.2292 +#58 := (iff #22 #57)
1.2293 +#55 := (= #21 #54)
1.2294 +#56 := [rewrite]: #55
1.2295 +#59 := [monotonicity #56]: #58
1.2296 +#62 := [monotonicity #59]: #61
1.2297 +#75 := [trans #62 #73]: #74
1.2298 +#41 := [asserted]: #23
1.2299 +#76 := [mp #41 #75]: #63
1.2300 +#5 := (:var 0 T1)
1.2301 +#8 := (uf_1 uf_3 #5)
1.2302 +#141 := (pattern #8)
1.2303 +#6 := (uf_1 uf_2 #5)
1.2304 +#140 := (pattern #6)
1.2305 +#45 := (* -1::real #8)
1.2306 +#46 := (+ #6 #45)
1.2307 +#44 := (>= #46 0::real)
1.2308 +#43 := (not #44)
1.2309 +#142 := (forall (vars (?x1 T1)) (:pat #140 #141) #43)
1.2310 +#49 := (forall (vars (?x1 T1)) #43)
1.2311 +#145 := (iff #49 #142)
1.2312 +#143 := (iff #43 #43)
1.2313 +#144 := [refl]: #143
1.2314 +#146 := [quant-intro #144]: #145
1.2315 +#80 := (~ #49 #49)
1.2316 +#82 := (~ #43 #43)
1.2317 +#83 := [refl]: #82
1.2318 +#81 := [nnf-pos #83]: #80
1.2319 +#9 := (< #6 #8)
1.2320 +#10 := (forall (vars (?x1 T1)) #9)
1.2321 +#50 := (iff #10 #49)
1.2322 +#47 := (iff #9 #43)
1.2323 +#48 := [rewrite]: #47
1.2324 +#51 := [quant-intro #48]: #50
1.2325 +#39 := [asserted]: #10
1.2326 +#52 := [mp #39 #51]: #49
1.2327 +#79 := [mp~ #52 #81]: #49
1.2328 +#147 := [mp #79 #146]: #142
1.2329 +#164 := (not #142)
1.2330 +#165 := (or #164 #64)
1.2331 +#148 := (* -1::real #19)
1.2332 +#149 := (+ #20 #148)
1.2333 +#150 := (>= #149 0::real)
1.2334 +#151 := (not #150)
1.2335 +#166 := (or #164 #151)
1.2336 +#168 := (iff #166 #165)
1.2337 +#170 := (iff #165 #165)
1.2338 +#171 := [rewrite]: #170
1.2339 +#162 := (iff #151 #64)
1.2340 +#160 := (iff #150 #63)
1.2341 +#152 := (+ #148 #20)
1.2342 +#155 := (>= #152 0::real)
1.2343 +#158 := (iff #155 #63)
1.2344 +#159 := [rewrite]: #158
1.2345 +#156 := (iff #150 #155)
1.2346 +#153 := (= #149 #152)
1.2347 +#154 := [rewrite]: #153
1.2348 +#157 := [monotonicity #154]: #156
1.2349 +#161 := [trans #157 #159]: #160
1.2350 +#163 := [monotonicity #161]: #162
1.2351 +#169 := [monotonicity #163]: #168
1.2352 +#172 := [trans #169 #171]: #168
1.2353 +#167 := [quant-inst]: #166
1.2354 +#173 := [mp #167 #172]: #165
1.2355 +[unit-resolution #173 #147 #76]: false
1.2356 +unsat
1.2357 +DKRtrJ2XceCkITuNwNViRw 57 0
1.2358 +#2 := false
1.2359 +#4 := 0::real
1.2360 +decl uf_1 :: (-> T2 real)
1.2361 +decl uf_2 :: (-> T1 T1 T2)
1.2362 +decl uf_12 :: (-> T4 T1)
1.2363 +decl uf_4 :: T4
1.2364 +#11 := uf_4
1.2365 +#39 := (uf_12 uf_4)
1.2366 +decl uf_10 :: T4
1.2367 +#27 := uf_10
1.2368 +#38 := (uf_12 uf_10)
1.2369 +#40 := (uf_2 #38 #39)
1.2370 +#41 := (uf_1 #40)
1.2371 +#264 := (>= #41 0::real)
1.2372 +#266 := (not #264)
1.2373 +#43 := (= #41 0::real)
1.2374 +#44 := (not #43)
1.2375 +#131 := [asserted]: #44
1.2376 +#272 := (or #43 #266)
1.2377 +#42 := (<= #41 0::real)
1.2378 +#130 := [asserted]: #42
1.2379 +#265 := (not #42)
1.2380 +#270 := (or #43 #265 #266)
1.2381 +#271 := [th-lemma]: #270
1.2382 +#273 := [unit-resolution #271 #130]: #272
1.2383 +#274 := [unit-resolution #273 #131]: #266
1.2384 +#6 := (:var 0 T1)
1.2385 +#5 := (:var 1 T1)
1.2386 +#7 := (uf_2 #5 #6)
1.2387 +#241 := (pattern #7)
1.2388 +#8 := (uf_1 #7)
1.2389 +#65 := (>= #8 0::real)
1.2390 +#242 := (forall (vars (?x1 T1) (?x2 T1)) (:pat #241) #65)
1.2391 +#66 := (forall (vars (?x1 T1) (?x2 T1)) #65)
1.2392 +#245 := (iff #66 #242)
1.2393 +#243 := (iff #65 #65)
1.2394 +#244 := [refl]: #243
1.2395 +#246 := [quant-intro #244]: #245
1.2396 +#149 := (~ #66 #66)
1.2397 +#151 := (~ #65 #65)
1.2398 +#152 := [refl]: #151
1.2399 +#150 := [nnf-pos #152]: #149
1.2400 +#9 := (<= 0::real #8)
1.2401 +#10 := (forall (vars (?x1 T1) (?x2 T1)) #9)
1.2402 +#67 := (iff #10 #66)
1.2403 +#63 := (iff #9 #65)
1.2404 +#64 := [rewrite]: #63
1.2405 +#68 := [quant-intro #64]: #67
1.2406 +#60 := [asserted]: #10
1.2407 +#69 := [mp #60 #68]: #66
1.2408 +#147 := [mp~ #69 #150]: #66
1.2409 +#247 := [mp #147 #246]: #242
1.2410 +#267 := (not #242)
1.2411 +#268 := (or #267 #264)
1.2412 +#269 := [quant-inst]: #268
1.2413 +[unit-resolution #269 #247 #274]: false
1.2414 +unsat
1.2415 +97KJAJfUio+nGchEHWvgAw 91 0
1.2416 +#2 := false
1.2417 +#38 := 0::real
1.2418 +decl uf_1 :: (-> T1 T2 real)
1.2419 +decl uf_3 :: T2
1.2420 +#5 := uf_3
1.2421 +decl uf_4 :: T1
1.2422 +#7 := uf_4
1.2423 +#8 := (uf_1 uf_4 uf_3)
1.2424 +#35 := -1::real
1.2425 +#36 := (* -1::real #8)
1.2426 +decl uf_2 :: T1
1.2427 +#4 := uf_2
1.2428 +#6 := (uf_1 uf_2 uf_3)
1.2429 +#37 := (+ #6 #36)
1.2430 +#130 := (>= #37 0::real)
1.2431 +#155 := (not #130)
1.2432 +#43 := (= #6 #8)
1.2433 +#55 := (not #43)
1.2434 +#15 := (= #8 #6)
1.2435 +#16 := (not #15)
1.2436 +#56 := (iff #16 #55)
1.2437 +#53 := (iff #15 #43)
1.2438 +#54 := [rewrite]: #53
1.2439 +#57 := [monotonicity #54]: #56
1.2440 +#34 := [asserted]: #16
1.2441 +#60 := [mp #34 #57]: #55
1.2442 +#158 := (or #43 #155)
1.2443 +#39 := (<= #37 0::real)
1.2444 +#9 := (<= #6 #8)
1.2445 +#40 := (iff #9 #39)
1.2446 +#41 := [rewrite]: #40
1.2447 +#32 := [asserted]: #9
1.2448 +#42 := [mp #32 #41]: #39
1.2449 +#154 := (not #39)
1.2450 +#156 := (or #43 #154 #155)
1.2451 +#157 := [th-lemma]: #156
1.2452 +#159 := [unit-resolution #157 #42]: #158
1.2453 +#160 := [unit-resolution #159 #60]: #155
1.2454 +#10 := (:var 0 T2)
1.2455 +#12 := (uf_1 uf_2 #10)
1.2456 +#123 := (pattern #12)
1.2457 +#11 := (uf_1 uf_4 #10)
1.2458 +#122 := (pattern #11)
1.2459 +#44 := (* -1::real #12)
1.2460 +#45 := (+ #11 #44)
1.2461 +#46 := (<= #45 0::real)
1.2462 +#124 := (forall (vars (?x1 T2)) (:pat #122 #123) #46)
1.2463 +#49 := (forall (vars (?x1 T2)) #46)
1.2464 +#127 := (iff #49 #124)
1.2465 +#125 := (iff #46 #46)
1.2466 +#126 := [refl]: #125
1.2467 +#128 := [quant-intro #126]: #127
1.2468 +#62 := (~ #49 #49)
1.2469 +#64 := (~ #46 #46)
1.2470 +#65 := [refl]: #64
1.2471 +#63 := [nnf-pos #65]: #62
1.2472 +#13 := (<= #11 #12)
1.2473 +#14 := (forall (vars (?x1 T2)) #13)
1.2474 +#50 := (iff #14 #49)
1.2475 +#47 := (iff #13 #46)
1.2476 +#48 := [rewrite]: #47
1.2477 +#51 := [quant-intro #48]: #50
1.2478 +#33 := [asserted]: #14
1.2479 +#52 := [mp #33 #51]: #49
1.2480 +#61 := [mp~ #52 #63]: #49
1.2481 +#129 := [mp #61 #128]: #124
1.2482 +#144 := (not #124)
1.2483 +#145 := (or #144 #130)
1.2484 +#131 := (* -1::real #6)
1.2485 +#132 := (+ #8 #131)
1.2486 +#133 := (<= #132 0::real)
1.2487 +#146 := (or #144 #133)
1.2488 +#148 := (iff #146 #145)
1.2489 +#150 := (iff #145 #145)
1.2490 +#151 := [rewrite]: #150
1.2491 +#142 := (iff #133 #130)
1.2492 +#134 := (+ #131 #8)
1.2493 +#137 := (<= #134 0::real)
1.2494 +#140 := (iff #137 #130)
1.2495 +#141 := [rewrite]: #140
1.2496 +#138 := (iff #133 #137)
1.2497 +#135 := (= #132 #134)
1.2498 +#136 := [rewrite]: #135
1.2499 +#139 := [monotonicity #136]: #138
1.2500 +#143 := [trans #139 #141]: #142
1.2501 +#149 := [monotonicity #143]: #148
1.2502 +#152 := [trans #149 #151]: #148
1.2503 +#147 := [quant-inst]: #146
1.2504 +#153 := [mp #147 #152]: #145
1.2505 +[unit-resolution #153 #129 #160]: false
1.2506 +unsat
1.2507 +flJYbeWfe+t2l/zsRqdujA 149 0
1.2508 +#2 := false
1.2509 +#19 := 0::real
1.2510 +decl uf_1 :: (-> T1 T2 real)
1.2511 +decl uf_3 :: T2
1.2512 +#5 := uf_3
1.2513 +decl uf_4 :: T1
1.2514 +#7 := uf_4
1.2515 +#8 := (uf_1 uf_4 uf_3)
1.2516 +#44 := -1::real
1.2517 +#156 := (* -1::real #8)
1.2518 +decl uf_2 :: T1
1.2519 +#4 := uf_2
1.2520 +#6 := (uf_1 uf_2 uf_3)
1.2521 +#203 := (+ #6 #156)
1.2522 +#205 := (>= #203 0::real)
1.2523 +#9 := (= #6 #8)
1.2524 +#40 := [asserted]: #9
1.2525 +#208 := (not #9)
1.2526 +#209 := (or #208 #205)
1.2527 +#210 := [th-lemma]: #209
1.2528 +#211 := [unit-resolution #210 #40]: #205
1.2529 +decl uf_5 :: T1
1.2530 +#12 := uf_5
1.2531 +#22 := (uf_1 uf_5 uf_3)
1.2532 +#160 := (* -1::real #22)
1.2533 +#161 := (+ #6 #160)
1.2534 +#207 := (>= #161 0::real)
1.2535 +#222 := (not #207)
1.2536 +#206 := (= #6 #22)
1.2537 +#216 := (not #206)
1.2538 +#62 := (= #8 #22)
1.2539 +#70 := (not #62)
1.2540 +#217 := (iff #70 #216)
1.2541 +#214 := (iff #62 #206)
1.2542 +#212 := (iff #206 #62)
1.2543 +#213 := [monotonicity #40]: #212
1.2544 +#215 := [symm #213]: #214
1.2545 +#218 := [monotonicity #215]: #217
1.2546 +#23 := (= #22 #8)
1.2547 +#24 := (not #23)
1.2548 +#71 := (iff #24 #70)
1.2549 +#68 := (iff #23 #62)
1.2550 +#69 := [rewrite]: #68
1.2551 +#72 := [monotonicity #69]: #71
1.2552 +#43 := [asserted]: #24
1.2553 +#75 := [mp #43 #72]: #70
1.2554 +#219 := [mp #75 #218]: #216
1.2555 +#225 := (or #206 #222)
1.2556 +#162 := (<= #161 0::real)
1.2557 +#172 := (+ #8 #160)
1.2558 +#173 := (>= #172 0::real)
1.2559 +#178 := (not #173)
1.2560 +#163 := (not #162)
1.2561 +#181 := (or #163 #178)
1.2562 +#184 := (not #181)
1.2563 +#10 := (:var 0 T2)
1.2564 +#15 := (uf_1 uf_4 #10)
1.2565 +#149 := (pattern #15)
1.2566 +#13 := (uf_1 uf_5 #10)
1.2567 +#148 := (pattern #13)
1.2568 +#11 := (uf_1 uf_2 #10)
1.2569 +#147 := (pattern #11)
1.2570 +#50 := (* -1::real #15)
1.2571 +#51 := (+ #13 #50)
1.2572 +#52 := (<= #51 0::real)
1.2573 +#76 := (not #52)
1.2574 +#45 := (* -1::real #13)
1.2575 +#46 := (+ #11 #45)
1.2576 +#47 := (<= #46 0::real)
1.2577 +#78 := (not #47)
1.2578 +#73 := (or #78 #76)
1.2579 +#83 := (not #73)
1.2580 +#150 := (forall (vars (?x1 T2)) (:pat #147 #148 #149) #83)
1.2581 +#86 := (forall (vars (?x1 T2)) #83)
1.2582 +#153 := (iff #86 #150)
1.2583 +#151 := (iff #83 #83)
1.2584 +#152 := [refl]: #151
1.2585 +#154 := [quant-intro #152]: #153
1.2586 +#55 := (and #47 #52)
1.2587 +#58 := (forall (vars (?x1 T2)) #55)
1.2588 +#87 := (iff #58 #86)
1.2589 +#84 := (iff #55 #83)
1.2590 +#85 := [rewrite]: #84
1.2591 +#88 := [quant-intro #85]: #87
1.2592 +#79 := (~ #58 #58)
1.2593 +#81 := (~ #55 #55)
1.2594 +#82 := [refl]: #81
1.2595 +#80 := [nnf-pos #82]: #79
1.2596 +#16 := (<= #13 #15)
1.2597 +#14 := (<= #11 #13)
1.2598 +#17 := (and #14 #16)
1.2599 +#18 := (forall (vars (?x1 T2)) #17)
1.2600 +#59 := (iff #18 #58)
1.2601 +#56 := (iff #17 #55)
1.2602 +#53 := (iff #16 #52)
1.2603 +#54 := [rewrite]: #53
1.2604 +#48 := (iff #14 #47)
1.2605 +#49 := [rewrite]: #48
1.2606 +#57 := [monotonicity #49 #54]: #56
1.2607 +#60 := [quant-intro #57]: #59
1.2608 +#41 := [asserted]: #18
1.2609 +#61 := [mp #41 #60]: #58
1.2610 +#77 := [mp~ #61 #80]: #58
1.2611 +#89 := [mp #77 #88]: #86
1.2612 +#155 := [mp #89 #154]: #150
1.2613 +#187 := (not #150)
1.2614 +#188 := (or #187 #184)
1.2615 +#157 := (+ #22 #156)
1.2616 +#158 := (<= #157 0::real)
1.2617 +#159 := (not #158)
1.2618 +#164 := (or #163 #159)
1.2619 +#165 := (not #164)
1.2620 +#189 := (or #187 #165)
1.2621 +#191 := (iff #189 #188)
1.2622 +#193 := (iff #188 #188)
1.2623 +#194 := [rewrite]: #193
1.2624 +#185 := (iff #165 #184)
1.2625 +#182 := (iff #164 #181)
1.2626 +#179 := (iff #159 #178)
1.2627 +#176 := (iff #158 #173)
1.2628 +#166 := (+ #156 #22)
1.2629 +#169 := (<= #166 0::real)
1.2630 +#174 := (iff #169 #173)
1.2631 +#175 := [rewrite]: #174
1.2632 +#170 := (iff #158 #169)
1.2633 +#167 := (= #157 #166)
1.2634 +#168 := [rewrite]: #167
1.2635 +#171 := [monotonicity #168]: #170
1.2636 +#177 := [trans #171 #175]: #176
1.2637 +#180 := [monotonicity #177]: #179
1.2638 +#183 := [monotonicity #180]: #182
1.2639 +#186 := [monotonicity #183]: #185
1.2640 +#192 := [monotonicity #186]: #191
1.2641 +#195 := [trans #192 #194]: #191
1.2642 +#190 := [quant-inst]: #189
1.2643 +#196 := [mp #190 #195]: #188
1.2644 +#220 := [unit-resolution #196 #155]: #184
1.2645 +#197 := (or #181 #162)
1.2646 +#198 := [def-axiom]: #197
1.2647 +#221 := [unit-resolution #198 #220]: #162
1.2648 +#223 := (or #206 #163 #222)
1.2649 +#224 := [th-lemma]: #223
1.2650 +#226 := [unit-resolution #224 #221]: #225
1.2651 +#227 := [unit-resolution #226 #219]: #222
1.2652 +#199 := (or #181 #173)
1.2653 +#200 := [def-axiom]: #199
1.2654 +#228 := [unit-resolution #200 #220]: #173
1.2655 +[th-lemma #228 #227 #211]: false
1.2656 +unsat
1.2657 +rbrrQuQfaijtLkQizgEXnQ 222 0
1.2658 +#2 := false
1.2659 +#4 := 0::real
1.2660 +decl uf_2 :: (-> T2 T1 real)
1.2661 +decl uf_5 :: T1
1.2662 +#15 := uf_5
1.2663 +decl uf_3 :: T2
1.2664 +#7 := uf_3
1.2665 +#20 := (uf_2 uf_3 uf_5)
1.2666 +decl uf_6 :: T2
1.2667 +#17 := uf_6
1.2668 +#18 := (uf_2 uf_6 uf_5)
1.2669 +#59 := -1::real
1.2670 +#73 := (* -1::real #18)
1.2671 +#106 := (+ #73 #20)
1.2672 +decl uf_1 :: real
1.2673 +#5 := uf_1
1.2674 +#78 := (* -1::real #20)
1.2675 +#79 := (+ #18 #78)
1.2676 +#144 := (+ uf_1 #79)
1.2677 +#145 := (<= #144 0::real)
1.2678 +#148 := (ite #145 uf_1 #106)
1.2679 +#279 := (* -1::real #148)
1.2680 +#280 := (+ uf_1 #279)
1.2681 +#281 := (<= #280 0::real)
1.2682 +#289 := (not #281)
1.2683 +#72 := 1/2::real
1.2684 +#151 := (* 1/2::real #148)
1.2685 +#248 := (<= #151 0::real)
1.2686 +#162 := (= #151 0::real)
1.2687 +#24 := 2::real
1.2688 +#27 := (- #20 #18)
1.2689 +#28 := (<= uf_1 #27)
1.2690 +#29 := (ite #28 uf_1 #27)
1.2691 +#30 := (/ #29 2::real)
1.2692 +#31 := (+ #18 #30)
1.2693 +#32 := (= #31 #18)
1.2694 +#33 := (not #32)
1.2695 +#34 := (not #33)
1.2696 +#165 := (iff #34 #162)
1.2697 +#109 := (<= uf_1 #106)
1.2698 +#112 := (ite #109 uf_1 #106)
1.2699 +#118 := (* 1/2::real #112)
1.2700 +#123 := (+ #18 #118)
1.2701 +#129 := (= #18 #123)
1.2702 +#163 := (iff #129 #162)
1.2703 +#154 := (+ #18 #151)
1.2704 +#157 := (= #18 #154)
1.2705 +#160 := (iff #157 #162)
1.2706 +#161 := [rewrite]: #160
1.2707 +#158 := (iff #129 #157)
1.2708 +#155 := (= #123 #154)
1.2709 +#152 := (= #118 #151)
1.2710 +#149 := (= #112 #148)
1.2711 +#146 := (iff #109 #145)
1.2712 +#147 := [rewrite]: #146
1.2713 +#150 := [monotonicity #147]: #149
1.2714 +#153 := [monotonicity #150]: #152
1.2715 +#156 := [monotonicity #153]: #155
1.2716 +#159 := [monotonicity #156]: #158
1.2717 +#164 := [trans #159 #161]: #163
1.2718 +#142 := (iff #34 #129)
1.2719 +#134 := (not #129)
1.2720 +#137 := (not #134)
1.2721 +#140 := (iff #137 #129)
1.2722 +#141 := [rewrite]: #140
1.2723 +#138 := (iff #34 #137)
1.2724 +#135 := (iff #33 #134)
1.2725 +#132 := (iff #32 #129)
1.2726 +#126 := (= #123 #18)
1.2727 +#130 := (iff #126 #129)
1.2728 +#131 := [rewrite]: #130
1.2729 +#127 := (iff #32 #126)
1.2730 +#124 := (= #31 #123)
1.2731 +#121 := (= #30 #118)
1.2732 +#115 := (/ #112 2::real)
1.2733 +#119 := (= #115 #118)
1.2734 +#120 := [rewrite]: #119
1.2735 +#116 := (= #30 #115)
1.2736 +#113 := (= #29 #112)
1.2737 +#107 := (= #27 #106)
1.2738 +#108 := [rewrite]: #107
1.2739 +#110 := (iff #28 #109)
1.2740 +#111 := [monotonicity #108]: #110
1.2741 +#114 := [monotonicity #111 #108]: #113
1.2742 +#117 := [monotonicity #114]: #116
1.2743 +#122 := [trans #117 #120]: #121
1.2744 +#125 := [monotonicity #122]: #124
1.2745 +#128 := [monotonicity #125]: #127
1.2746 +#133 := [trans #128 #131]: #132
1.2747 +#136 := [monotonicity #133]: #135
1.2748 +#139 := [monotonicity #136]: #138
1.2749 +#143 := [trans #139 #141]: #142
1.2750 +#166 := [trans #143 #164]: #165
1.2751 +#105 := [asserted]: #34
1.2752 +#167 := [mp #105 #166]: #162
1.2753 +#283 := (not #162)
1.2754 +#284 := (or #283 #248)
1.2755 +#285 := [th-lemma]: #284
1.2756 +#286 := [unit-resolution #285 #167]: #248
1.2757 +#287 := [hypothesis]: #281
1.2758 +#53 := (<= uf_1 0::real)
1.2759 +#54 := (not #53)
1.2760 +#6 := (< 0::real uf_1)
1.2761 +#55 := (iff #6 #54)
1.2762 +#56 := [rewrite]: #55
1.2763 +#50 := [asserted]: #6
1.2764 +#57 := [mp #50 #56]: #54
1.2765 +#288 := [th-lemma #57 #287 #286]: false
1.2766 +#290 := [lemma #288]: #289
1.2767 +#241 := (= uf_1 #148)
1.2768 +#242 := (= #106 #148)
1.2769 +#299 := (not #242)
1.2770 +#282 := (+ #106 #279)
1.2771 +#291 := (<= #282 0::real)
1.2772 +#296 := (not #291)
1.2773 +decl uf_4 :: T2
1.2774 +#10 := uf_4
1.2775 +#16 := (uf_2 uf_4 uf_5)
1.2776 +#260 := (+ #16 #78)
1.2777 +#261 := (>= #260 0::real)
1.2778 +#266 := (not #261)
1.2779 +#8 := (:var 0 T1)
1.2780 +#11 := (uf_2 uf_4 #8)
1.2781 +#234 := (pattern #11)
1.2782 +#9 := (uf_2 uf_3 #8)
1.2783 +#233 := (pattern #9)
1.2784 +#60 := (* -1::real #11)
1.2785 +#61 := (+ #9 #60)
1.2786 +#62 := (<= #61 0::real)
1.2787 +#179 := (not #62)
1.2788 +#235 := (forall (vars (?x1 T1)) (:pat #233 #234) #179)
1.2789 +#178 := (forall (vars (?x1 T1)) #179)
1.2790 +#238 := (iff #178 #235)
1.2791 +#236 := (iff #179 #179)
1.2792 +#237 := [refl]: #236
1.2793 +#239 := [quant-intro #237]: #238
1.2794 +#65 := (exists (vars (?x1 T1)) #62)
1.2795 +#68 := (not #65)
1.2796 +#175 := (~ #68 #178)
1.2797 +#180 := (~ #179 #179)
1.2798 +#177 := [refl]: #180
1.2799 +#176 := [nnf-neg #177]: #175
1.2800 +#12 := (<= #9 #11)
1.2801 +#13 := (exists (vars (?x1 T1)) #12)
1.2802 +#14 := (not #13)
1.2803 +#69 := (iff #14 #68)
1.2804 +#66 := (iff #13 #65)
1.2805 +#63 := (iff #12 #62)
1.2806 +#64 := [rewrite]: #63
1.2807 +#67 := [quant-intro #64]: #66
1.2808 +#70 := [monotonicity #67]: #69
1.2809 +#51 := [asserted]: #14
1.2810 +#71 := [mp #51 #70]: #68
1.2811 +#173 := [mp~ #71 #176]: #178
1.2812 +#240 := [mp #173 #239]: #235
1.2813 +#269 := (not #235)
1.2814 +#270 := (or #269 #266)
1.2815 +#250 := (* -1::real #16)
1.2816 +#251 := (+ #20 #250)
1.2817 +#252 := (<= #251 0::real)
1.2818 +#253 := (not #252)
1.2819 +#271 := (or #269 #253)
1.2820 +#273 := (iff #271 #270)
1.2821 +#275 := (iff #270 #270)
1.2822 +#276 := [rewrite]: #275
1.2823 +#267 := (iff #253 #266)
1.2824 +#264 := (iff #252 #261)
1.2825 +#254 := (+ #250 #20)
1.2826 +#257 := (<= #254 0::real)
1.2827 +#262 := (iff #257 #261)
1.2828 +#263 := [rewrite]: #262
1.2829 +#258 := (iff #252 #257)
1.2830 +#255 := (= #251 #254)
1.2831 +#256 := [rewrite]: #255
1.2832 +#259 := [monotonicity #256]: #258
1.2833 +#265 := [trans #259 #263]: #264
1.2834 +#268 := [monotonicity #265]: #267
1.2835 +#274 := [monotonicity #268]: #273
1.2836 +#277 := [trans #274 #276]: #273
1.2837 +#272 := [quant-inst]: #271
1.2838 +#278 := [mp #272 #277]: #270
1.2839 +#293 := [unit-resolution #278 #240]: #266
1.2840 +#90 := (* 1/2::real #20)
1.2841 +#102 := (+ #73 #90)
1.2842 +#89 := (* 1/2::real #16)
1.2843 +#103 := (+ #89 #102)
1.2844 +#100 := (>= #103 0::real)
1.2845 +#23 := (+ #16 #20)
1.2846 +#25 := (/ #23 2::real)
1.2847 +#26 := (<= #18 #25)
1.2848 +#98 := (iff #26 #100)
1.2849 +#91 := (+ #89 #90)
1.2850 +#94 := (<= #18 #91)
1.2851 +#97 := (iff #94 #100)
1.2852 +#99 := [rewrite]: #97
1.2853 +#95 := (iff #26 #94)
1.2854 +#92 := (= #25 #91)
1.2855 +#93 := [rewrite]: #92
1.2856 +#96 := [monotonicity #93]: #95
1.2857 +#101 := [trans #96 #99]: #98
1.2858 +#58 := [asserted]: #26
1.2859 +#104 := [mp #58 #101]: #100
1.2860 +#294 := [hypothesis]: #291
1.2861 +#295 := [th-lemma #294 #104 #293 #286]: false
1.2862 +#297 := [lemma #295]: #296
1.2863 +#298 := [hypothesis]: #242
1.2864 +#300 := (or #299 #291)
1.2865 +#301 := [th-lemma]: #300
1.2866 +#302 := [unit-resolution #301 #298 #297]: false
1.2867 +#303 := [lemma #302]: #299
1.2868 +#246 := (or #145 #242)
1.2869 +#247 := [def-axiom]: #246
1.2870 +#304 := [unit-resolution #247 #303]: #145
1.2871 +#243 := (not #145)
1.2872 +#244 := (or #243 #241)
1.2873 +#245 := [def-axiom]: #244
1.2874 +#305 := [unit-resolution #245 #304]: #241
1.2875 +#306 := (not #241)
1.2876 +#307 := (or #306 #281)
1.2877 +#308 := [th-lemma]: #307
1.2878 +[unit-resolution #308 #305 #290]: false
1.2879 +unsat
1.2880 +hwh3oeLAWt56hnKIa8Wuow 248 0
1.2881 +#2 := false
1.2882 +#4 := 0::real
1.2883 +decl uf_2 :: (-> T2 T1 real)
1.2884 +decl uf_5 :: T1
1.2885 +#15 := uf_5
1.2886 +decl uf_6 :: T2
1.2887 +#17 := uf_6
1.2888 +#18 := (uf_2 uf_6 uf_5)
1.2889 +decl uf_4 :: T2
1.2890 +#10 := uf_4
1.2891 +#16 := (uf_2 uf_4 uf_5)
1.2892 +#66 := -1::real
1.2893 +#137 := (* -1::real #16)
1.2894 +#138 := (+ #137 #18)
1.2895 +decl uf_1 :: real
1.2896 +#5 := uf_1
1.2897 +#80 := (* -1::real #18)
1.2898 +#81 := (+ #16 #80)
1.2899 +#201 := (+ uf_1 #81)
1.2900 +#202 := (<= #201 0::real)
1.2901 +#205 := (ite #202 uf_1 #138)
1.2902 +#352 := (* -1::real #205)
1.2903 +#353 := (+ uf_1 #352)
1.2904 +#354 := (<= #353 0::real)
1.2905 +#362 := (not #354)
1.2906 +#79 := 1/2::real
1.2907 +#244 := (* 1/2::real #205)
1.2908 +#322 := (<= #244 0::real)
1.2909 +#245 := (= #244 0::real)
1.2910 +#158 := -1/2::real
1.2911 +#208 := (* -1/2::real #205)
1.2912 +#211 := (+ #18 #208)
1.2913 +decl uf_3 :: T2
1.2914 +#7 := uf_3
1.2915 +#20 := (uf_2 uf_3 uf_5)
1.2916 +#117 := (+ #80 #20)
1.2917 +#85 := (* -1::real #20)
1.2918 +#86 := (+ #18 #85)
1.2919 +#188 := (+ uf_1 #86)
1.2920 +#189 := (<= #188 0::real)
1.2921 +#192 := (ite #189 uf_1 #117)
1.2922 +#195 := (* 1/2::real #192)
1.2923 +#198 := (+ #18 #195)
1.2924 +#97 := (* 1/2::real #20)
1.2925 +#109 := (+ #80 #97)
1.2926 +#96 := (* 1/2::real #16)
1.2927 +#110 := (+ #96 #109)
1.2928 +#107 := (>= #110 0::real)
1.2929 +#214 := (ite #107 #198 #211)
1.2930 +#217 := (= #18 #214)
1.2931 +#248 := (iff #217 #245)
1.2932 +#241 := (= #18 #211)
1.2933 +#246 := (iff #241 #245)
1.2934 +#247 := [rewrite]: #246
1.2935 +#242 := (iff #217 #241)
1.2936 +#239 := (= #214 #211)
1.2937 +#234 := (ite false #198 #211)
1.2938 +#237 := (= #234 #211)
1.2939 +#238 := [rewrite]: #237
1.2940 +#235 := (= #214 #234)
1.2941 +#232 := (iff #107 false)
1.2942 +#104 := (not #107)
1.2943 +#24 := 2::real
1.2944 +#23 := (+ #16 #20)
1.2945 +#25 := (/ #23 2::real)
1.2946 +#26 := (< #25 #18)
1.2947 +#108 := (iff #26 #104)
1.2948 +#98 := (+ #96 #97)
1.2949 +#101 := (< #98 #18)
1.2950 +#106 := (iff #101 #104)
1.2951 +#105 := [rewrite]: #106
1.2952 +#102 := (iff #26 #101)
1.2953 +#99 := (= #25 #98)
1.2954 +#100 := [rewrite]: #99
1.2955 +#103 := [monotonicity #100]: #102
1.2956 +#111 := [trans #103 #105]: #108
1.2957 +#65 := [asserted]: #26
1.2958 +#112 := [mp #65 #111]: #104
1.2959 +#233 := [iff-false #112]: #232
1.2960 +#236 := [monotonicity #233]: #235
1.2961 +#240 := [trans #236 #238]: #239
1.2962 +#243 := [monotonicity #240]: #242
1.2963 +#249 := [trans #243 #247]: #248
1.2964 +#33 := (- #18 #16)
1.2965 +#34 := (<= uf_1 #33)
1.2966 +#35 := (ite #34 uf_1 #33)
1.2967 +#36 := (/ #35 2::real)
1.2968 +#37 := (- #18 #36)
1.2969 +#28 := (- #20 #18)
1.2970 +#29 := (<= uf_1 #28)
1.2971 +#30 := (ite #29 uf_1 #28)
1.2972 +#31 := (/ #30 2::real)
1.2973 +#32 := (+ #18 #31)
1.2974 +#27 := (<= #18 #25)
1.2975 +#38 := (ite #27 #32 #37)
1.2976 +#39 := (= #38 #18)
1.2977 +#40 := (not #39)
1.2978 +#41 := (not #40)
1.2979 +#220 := (iff #41 #217)
1.2980 +#141 := (<= uf_1 #138)
1.2981 +#144 := (ite #141 uf_1 #138)
1.2982 +#159 := (* -1/2::real #144)
1.2983 +#160 := (+ #18 #159)
1.2984 +#120 := (<= uf_1 #117)
1.2985 +#123 := (ite #120 uf_1 #117)
1.2986 +#129 := (* 1/2::real #123)
1.2987 +#134 := (+ #18 #129)
1.2988 +#114 := (<= #18 #98)
1.2989 +#165 := (ite #114 #134 #160)
1.2990 +#171 := (= #18 #165)
1.2991 +#218 := (iff #171 #217)
1.2992 +#215 := (= #165 #214)
1.2993 +#212 := (= #160 #211)
1.2994 +#209 := (= #159 #208)
1.2995 +#206 := (= #144 #205)
1.2996 +#203 := (iff #141 #202)
1.2997 +#204 := [rewrite]: #203
1.2998 +#207 := [monotonicity #204]: #206
1.2999 +#210 := [monotonicity #207]: #209
1.3000 +#213 := [monotonicity #210]: #212
1.3001 +#199 := (= #134 #198)
1.3002 +#196 := (= #129 #195)
1.3003 +#193 := (= #123 #192)
1.3004 +#190 := (iff #120 #189)
1.3005 +#191 := [rewrite]: #190
1.3006 +#194 := [monotonicity #191]: #193
1.3007 +#197 := [monotonicity #194]: #196
1.3008 +#200 := [monotonicity #197]: #199
1.3009 +#187 := (iff #114 #107)
1.3010 +#186 := [rewrite]: #187
1.3011 +#216 := [monotonicity #186 #200 #213]: #215
1.3012 +#219 := [monotonicity #216]: #218
1.3013 +#184 := (iff #41 #171)
1.3014 +#176 := (not #171)
1.3015 +#179 := (not #176)
1.3016 +#182 := (iff #179 #171)
1.3017 +#183 := [rewrite]: #182
1.3018 +#180 := (iff #41 #179)
1.3019 +#177 := (iff #40 #176)
1.3020 +#174 := (iff #39 #171)
1.3021 +#168 := (= #165 #18)
1.3022 +#172 := (iff #168 #171)
1.3023 +#173 := [rewrite]: #172
1.3024 +#169 := (iff #39 #168)
1.3025 +#166 := (= #38 #165)
1.3026 +#163 := (= #37 #160)
1.3027 +#150 := (* 1/2::real #144)
1.3028 +#155 := (- #18 #150)
1.3029 +#161 := (= #155 #160)
1.3030 +#162 := [rewrite]: #161
1.3031 +#156 := (= #37 #155)
1.3032 +#153 := (= #36 #150)
1.3033 +#147 := (/ #144 2::real)
1.3034 +#151 := (= #147 #150)
1.3035 +#152 := [rewrite]: #151
1.3036 +#148 := (= #36 #147)
1.3037 +#145 := (= #35 #144)
1.3038 +#139 := (= #33 #138)
1.3039 +#140 := [rewrite]: #139
1.3040 +#142 := (iff #34 #141)
1.3041 +#143 := [monotonicity #140]: #142
1.3042 +#146 := [monotonicity #143 #140]: #145
1.3043 +#149 := [monotonicity #146]: #148
1.3044 +#154 := [trans #149 #152]: #153
1.3045 +#157 := [monotonicity #154]: #156
1.3046 +#164 := [trans #157 #162]: #163
1.3047 +#135 := (= #32 #134)
1.3048 +#132 := (= #31 #129)
1.3049 +#126 := (/ #123 2::real)
1.3050 +#130 := (= #126 #129)
1.3051 +#131 := [rewrite]: #130
1.3052 +#127 := (= #31 #126)
1.3053 +#124 := (= #30 #123)
1.3054 +#118 := (= #28 #117)
1.3055 +#119 := [rewrite]: #118
1.3056 +#121 := (iff #29 #120)
1.3057 +#122 := [monotonicity #119]: #121
1.3058 +#125 := [monotonicity #122 #119]: #124
1.3059 +#128 := [monotonicity #125]: #127
1.3060 +#133 := [trans #128 #131]: #132
1.3061 +#136 := [monotonicity #133]: #135
1.3062 +#115 := (iff #27 #114)
1.3063 +#116 := [monotonicity #100]: #115
1.3064 +#167 := [monotonicity #116 #136 #164]: #166
1.3065 +#170 := [monotonicity #167]: #169
1.3066 +#175 := [trans #170 #173]: #174
1.3067 +#178 := [monotonicity #175]: #177
1.3068 +#181 := [monotonicity #178]: #180
1.3069 +#185 := [trans #181 #183]: #184
1.3070 +#221 := [trans #185 #219]: #220
1.3071 +#113 := [asserted]: #41
1.3072 +#222 := [mp #113 #221]: #217
1.3073 +#250 := [mp #222 #249]: #245
1.3074 +#356 := (not #245)
1.3075 +#357 := (or #356 #322)
1.3076 +#358 := [th-lemma]: #357
1.3077 +#359 := [unit-resolution #358 #250]: #322
1.3078 +#360 := [hypothesis]: #354
1.3079 +#60 := (<= uf_1 0::real)
1.3080 +#61 := (not #60)
1.3081 +#6 := (< 0::real uf_1)
1.3082 +#62 := (iff #6 #61)
1.3083 +#63 := [rewrite]: #62
1.3084 +#57 := [asserted]: #6
1.3085 +#64 := [mp #57 #63]: #61
1.3086 +#361 := [th-lemma #64 #360 #359]: false
1.3087 +#363 := [lemma #361]: #362
1.3088 +#315 := (= uf_1 #205)
1.3089 +#316 := (= #138 #205)
1.3090 +#371 := (not #316)
1.3091 +#355 := (+ #138 #352)
1.3092 +#364 := (<= #355 0::real)
1.3093 +#368 := (not #364)
1.3094 +#87 := (<= #86 0::real)
1.3095 +#82 := (<= #81 0::real)
1.3096 +#90 := (and #82 #87)
1.3097 +#21 := (<= #18 #20)
1.3098 +#19 := (<= #16 #18)
1.3099 +#22 := (and #19 #21)
1.3100 +#91 := (iff #22 #90)
1.3101 +#88 := (iff #21 #87)
1.3102 +#89 := [rewrite]: #88
1.3103 +#83 := (iff #19 #82)
1.3104 +#84 := [rewrite]: #83
1.3105 +#92 := [monotonicity #84 #89]: #91
1.3106 +#59 := [asserted]: #22
1.3107 +#93 := [mp #59 #92]: #90
1.3108 +#95 := [and-elim #93]: #87
1.3109 +#366 := [hypothesis]: #364
1.3110 +#367 := [th-lemma #366 #95 #112 #359]: false
1.3111 +#369 := [lemma #367]: #368
1.3112 +#370 := [hypothesis]: #316
1.3113 +#372 := (or #371 #364)
1.3114 +#373 := [th-lemma]: #372
1.3115 +#374 := [unit-resolution #373 #370 #369]: false
1.3116 +#375 := [lemma #374]: #371
1.3117 +#320 := (or #202 #316)
1.3118 +#321 := [def-axiom]: #320
1.3119 +#376 := [unit-resolution #321 #375]: #202
1.3120 +#317 := (not #202)
1.3121 +#318 := (or #317 #315)
1.3122 +#319 := [def-axiom]: #318
1.3123 +#377 := [unit-resolution #319 #376]: #315
1.3124 +#378 := (not #315)
1.3125 +#379 := (or #378 #354)
1.3126 +#380 := [th-lemma]: #379
1.3127 +[unit-resolution #380 #377 #363]: false
1.3128 +unsat
1.3129 +WdMJH3tkMv/rps8y9Ukq5Q 86 0
1.3130 +#2 := false
1.3131 +#37 := 0::real
1.3132 +decl uf_2 :: (-> T2 T1 real)
1.3133 +decl uf_4 :: T1
1.3134 +#12 := uf_4
1.3135 +decl uf_3 :: T2
1.3136 +#5 := uf_3
1.3137 +#13 := (uf_2 uf_3 uf_4)
1.3138 +#34 := -1::real
1.3139 +#140 := (* -1::real #13)
1.3140 +decl uf_1 :: real
1.3141 +#4 := uf_1
1.3142 +#141 := (+ uf_1 #140)
1.3143 +#143 := (>= #141 0::real)
1.3144 +#6 := (:var 0 T1)
1.3145 +#7 := (uf_2 uf_3 #6)
1.3146 +#127 := (pattern #7)
1.3147 +#35 := (* -1::real #7)
1.3148 +#36 := (+ uf_1 #35)
1.3149 +#47 := (>= #36 0::real)
1.3150 +#134 := (forall (vars (?x2 T1)) (:pat #127) #47)
1.3151 +#49 := (forall (vars (?x2 T1)) #47)
1.3152 +#137 := (iff #49 #134)
1.3153 +#135 := (iff #47 #47)
1.3154 +#136 := [refl]: #135
1.3155 +#138 := [quant-intro #136]: #137
1.3156 +#67 := (~ #49 #49)
1.3157 +#58 := (~ #47 #47)
1.3158 +#66 := [refl]: #58
1.3159 +#68 := [nnf-pos #66]: #67
1.3160 +#10 := (<= #7 uf_1)
1.3161 +#11 := (forall (vars (?x2 T1)) #10)
1.3162 +#50 := (iff #11 #49)
1.3163 +#46 := (iff #10 #47)
1.3164 +#48 := [rewrite]: #46
1.3165 +#51 := [quant-intro #48]: #50
1.3166 +#32 := [asserted]: #11
1.3167 +#52 := [mp #32 #51]: #49
1.3168 +#69 := [mp~ #52 #68]: #49
1.3169 +#139 := [mp #69 #138]: #134
1.3170 +#149 := (not #134)
1.3171 +#150 := (or #149 #143)
1.3172 +#151 := [quant-inst]: #150
1.3173 +#144 := [unit-resolution #151 #139]: #143
1.3174 +#142 := (<= #141 0::real)
1.3175 +#38 := (<= #36 0::real)
1.3176 +#128 := (forall (vars (?x1 T1)) (:pat #127) #38)
1.3177 +#41 := (forall (vars (?x1 T1)) #38)
1.3178 +#131 := (iff #41 #128)
1.3179 +#129 := (iff #38 #38)
1.3180 +#130 := [refl]: #129
1.3181 +#132 := [quant-intro #130]: #131
1.3182 +#62 := (~ #41 #41)
1.3183 +#64 := (~ #38 #38)
1.3184 +#65 := [refl]: #64
1.3185 +#63 := [nnf-pos #65]: #62
1.3186 +#8 := (<= uf_1 #7)
1.3187 +#9 := (forall (vars (?x1 T1)) #8)
1.3188 +#42 := (iff #9 #41)
1.3189 +#39 := (iff #8 #38)
1.3190 +#40 := [rewrite]: #39
1.3191 +#43 := [quant-intro #40]: #42
1.3192 +#31 := [asserted]: #9
1.3193 +#44 := [mp #31 #43]: #41
1.3194 +#61 := [mp~ #44 #63]: #41
1.3195 +#133 := [mp #61 #132]: #128
1.3196 +#145 := (not #128)
1.3197 +#146 := (or #145 #142)
1.3198 +#147 := [quant-inst]: #146
1.3199 +#148 := [unit-resolution #147 #133]: #142
1.3200 +#45 := (= uf_1 #13)
1.3201 +#55 := (not #45)
1.3202 +#14 := (= #13 uf_1)
1.3203 +#15 := (not #14)
1.3204 +#56 := (iff #15 #55)
1.3205 +#53 := (iff #14 #45)
1.3206 +#54 := [rewrite]: #53
1.3207 +#57 := [monotonicity #54]: #56
1.3208 +#33 := [asserted]: #15
1.3209 +#60 := [mp #33 #57]: #55
1.3210 +#153 := (not #143)
1.3211 +#152 := (not #142)
1.3212 +#154 := (or #45 #152 #153)
1.3213 +#155 := [th-lemma]: #154
1.3214 +[unit-resolution #155 #60 #148 #144]: false
1.3215 +unsat
1.3216 +V+IAyBZU/6QjYs6JkXx8LQ 57 0
1.3217 +#2 := false
1.3218 +#4 := 0::real
1.3219 +decl uf_1 :: (-> T2 real)
1.3220 +decl uf_2 :: (-> T1 T1 T2)
1.3221 +decl uf_12 :: (-> T4 T1)
1.3222 +decl uf_4 :: T4
1.3223 +#11 := uf_4
1.3224 +#39 := (uf_12 uf_4)
1.3225 +decl uf_10 :: T4
1.3226 +#27 := uf_10
1.3227 +#38 := (uf_12 uf_10)
1.3228 +#40 := (uf_2 #38 #39)
1.3229 +#41 := (uf_1 #40)
1.3230 +#264 := (>= #41 0::real)
1.3231 +#266 := (not #264)
1.3232 +#43 := (= #41 0::real)
1.3233 +#44 := (not #43)
1.3234 +#131 := [asserted]: #44
1.3235 +#272 := (or #43 #266)
1.3236 +#42 := (<= #41 0::real)
1.3237 +#130 := [asserted]: #42
1.3238 +#265 := (not #42)
1.3239 +#270 := (or #43 #265 #266)
1.3240 +#271 := [th-lemma]: #270
1.3241 +#273 := [unit-resolution #271 #130]: #272
1.3242 +#274 := [unit-resolution #273 #131]: #266
1.3243 +#6 := (:var 0 T1)
1.3244 +#5 := (:var 1 T1)
1.3245 +#7 := (uf_2 #5 #6)
1.3246 +#241 := (pattern #7)
1.3247 +#8 := (uf_1 #7)
1.3248 +#65 := (>= #8 0::real)
1.3249 +#242 := (forall (vars (?x1 T1) (?x2 T1)) (:pat #241) #65)
1.3250 +#66 := (forall (vars (?x1 T1) (?x2 T1)) #65)
1.3251 +#245 := (iff #66 #242)
1.3252 +#243 := (iff #65 #65)
1.3253 +#244 := [refl]: #243
1.3254 +#246 := [quant-intro #244]: #245
1.3255 +#149 := (~ #66 #66)
1.3256 +#151 := (~ #65 #65)
1.3257 +#152 := [refl]: #151
1.3258 +#150 := [nnf-pos #152]: #149
1.3259 +#9 := (<= 0::real #8)
1.3260 +#10 := (forall (vars (?x1 T1) (?x2 T1)) #9)
1.3261 +#67 := (iff #10 #66)
1.3262 +#63 := (iff #9 #65)
1.3263 +#64 := [rewrite]: #63
1.3264 +#68 := [quant-intro #64]: #67
1.3265 +#60 := [asserted]: #10
1.3266 +#69 := [mp #60 #68]: #66
1.3267 +#147 := [mp~ #69 #150]: #66
1.3268 +#247 := [mp #147 #246]: #242
1.3269 +#267 := (not #242)
1.3270 +#268 := (or #267 #264)
1.3271 +#269 := [quant-inst]: #268
1.3272 +[unit-resolution #269 #247 #274]: false
1.3273 +unsat