author | himmelma |
Wed, 17 Feb 2010 18:33:45 +0100 | |
changeset 35172 | 579dd5570f96 |
permissions | -rw-r--r-- |
himmelma@35172 | 1 |
tB2Atlor9W4pSnrAz5nHpw 907 0 |
himmelma@35172 | 2 |
#2 := false |
himmelma@35172 | 3 |
#299 := 0::real |
himmelma@35172 | 4 |
decl uf_1 :: (-> T3 T2 real) |
himmelma@35172 | 5 |
decl uf_10 :: (-> T4 T2) |
himmelma@35172 | 6 |
decl uf_7 :: T4 |
himmelma@35172 | 7 |
#15 := uf_7 |
himmelma@35172 | 8 |
#22 := (uf_10 uf_7) |
himmelma@35172 | 9 |
decl uf_2 :: (-> T1 T3) |
himmelma@35172 | 10 |
decl uf_4 :: T1 |
himmelma@35172 | 11 |
#11 := uf_4 |
himmelma@35172 | 12 |
#91 := (uf_2 uf_4) |
himmelma@35172 | 13 |
#902 := (uf_1 #91 #22) |
himmelma@35172 | 14 |
#297 := -1::real |
himmelma@35172 | 15 |
#1084 := (* -1::real #902) |
himmelma@35172 | 16 |
decl uf_16 :: T1 |
himmelma@35172 | 17 |
#50 := uf_16 |
himmelma@35172 | 18 |
#78 := (uf_2 uf_16) |
himmelma@35172 | 19 |
#799 := (uf_1 #78 #22) |
himmelma@35172 | 20 |
#1267 := (+ #799 #1084) |
himmelma@35172 | 21 |
#1272 := (>= #1267 0::real) |
himmelma@35172 | 22 |
#1266 := (= #799 #902) |
himmelma@35172 | 23 |
decl uf_9 :: T3 |
himmelma@35172 | 24 |
#21 := uf_9 |
himmelma@35172 | 25 |
#23 := (uf_1 uf_9 #22) |
himmelma@35172 | 26 |
#905 := (= #23 #902) |
himmelma@35172 | 27 |
decl uf_11 :: T3 |
himmelma@35172 | 28 |
#24 := uf_11 |
himmelma@35172 | 29 |
#850 := (uf_1 uf_11 #22) |
himmelma@35172 | 30 |
#904 := (= #850 #902) |
himmelma@35172 | 31 |
decl uf_6 :: (-> T2 T4) |
himmelma@35172 | 32 |
#74 := (uf_6 #22) |
himmelma@35172 | 33 |
#281 := (= uf_7 #74) |
himmelma@35172 | 34 |
#922 := (ite #281 #905 #904) |
himmelma@35172 | 35 |
decl uf_8 :: T3 |
himmelma@35172 | 36 |
#18 := uf_8 |
himmelma@35172 | 37 |
#848 := (uf_1 uf_8 #22) |
himmelma@35172 | 38 |
#903 := (= #848 #902) |
himmelma@35172 | 39 |
#60 := 0::int |
himmelma@35172 | 40 |
decl uf_5 :: (-> T4 int) |
himmelma@35172 | 41 |
#803 := (uf_5 #74) |
himmelma@35172 | 42 |
#117 := -1::int |
himmelma@35172 | 43 |
#813 := (* -1::int #803) |
himmelma@35172 | 44 |
#16 := (uf_5 uf_7) |
himmelma@35172 | 45 |
#916 := (+ #16 #813) |
himmelma@35172 | 46 |
#917 := (<= #916 0::int) |
himmelma@35172 | 47 |
#925 := (ite #917 #922 #903) |
himmelma@35172 | 48 |
#6 := (:var 0 T2) |
himmelma@35172 | 49 |
#19 := (uf_1 uf_8 #6) |
himmelma@35172 | 50 |
#544 := (pattern #19) |
himmelma@35172 | 51 |
#25 := (uf_1 uf_11 #6) |
himmelma@35172 | 52 |
#543 := (pattern #25) |
himmelma@35172 | 53 |
#92 := (uf_1 #91 #6) |
himmelma@35172 | 54 |
#542 := (pattern #92) |
himmelma@35172 | 55 |
#13 := (uf_6 #6) |
himmelma@35172 | 56 |
#541 := (pattern #13) |
himmelma@35172 | 57 |
#447 := (= #19 #92) |
himmelma@35172 | 58 |
#445 := (= #25 #92) |
himmelma@35172 | 59 |
#444 := (= #23 #92) |
himmelma@35172 | 60 |
#20 := (= #13 uf_7) |
himmelma@35172 | 61 |
#446 := (ite #20 #444 #445) |
himmelma@35172 | 62 |
#120 := (* -1::int #16) |
himmelma@35172 | 63 |
#14 := (uf_5 #13) |
himmelma@35172 | 64 |
#121 := (+ #14 #120) |
himmelma@35172 | 65 |
#119 := (>= #121 0::int) |
himmelma@35172 | 66 |
#448 := (ite #119 #446 #447) |
himmelma@35172 | 67 |
#545 := (forall (vars (?x3 T2)) (:pat #541 #542 #543 #544) #448) |
himmelma@35172 | 68 |
#451 := (forall (vars (?x3 T2)) #448) |
himmelma@35172 | 69 |
#548 := (iff #451 #545) |
himmelma@35172 | 70 |
#546 := (iff #448 #448) |
himmelma@35172 | 71 |
#547 := [refl]: #546 |
himmelma@35172 | 72 |
#549 := [quant-intro #547]: #548 |
himmelma@35172 | 73 |
#26 := (ite #20 #23 #25) |
himmelma@35172 | 74 |
#127 := (ite #119 #26 #19) |
himmelma@35172 | 75 |
#368 := (= #92 #127) |
himmelma@35172 | 76 |
#369 := (forall (vars (?x3 T2)) #368) |
himmelma@35172 | 77 |
#452 := (iff #369 #451) |
himmelma@35172 | 78 |
#449 := (iff #368 #448) |
himmelma@35172 | 79 |
#450 := [rewrite]: #449 |
himmelma@35172 | 80 |
#453 := [quant-intro #450]: #452 |
himmelma@35172 | 81 |
#392 := (~ #369 #369) |
himmelma@35172 | 82 |
#390 := (~ #368 #368) |
himmelma@35172 | 83 |
#391 := [refl]: #390 |
himmelma@35172 | 84 |
#366 := [nnf-pos #391]: #392 |
himmelma@35172 | 85 |
decl uf_3 :: (-> T1 T2 real) |
himmelma@35172 | 86 |
#12 := (uf_3 uf_4 #6) |
himmelma@35172 | 87 |
#132 := (= #12 #127) |
himmelma@35172 | 88 |
#135 := (forall (vars (?x3 T2)) #132) |
himmelma@35172 | 89 |
#370 := (iff #135 #369) |
himmelma@35172 | 90 |
#4 := (:var 1 T1) |
himmelma@35172 | 91 |
#8 := (uf_3 #4 #6) |
himmelma@35172 | 92 |
#5 := (uf_2 #4) |
himmelma@35172 | 93 |
#7 := (uf_1 #5 #6) |
himmelma@35172 | 94 |
#9 := (= #7 #8) |
himmelma@35172 | 95 |
#10 := (forall (vars (?x1 T1) (?x2 T2)) #9) |
himmelma@35172 | 96 |
#113 := [asserted]: #10 |
himmelma@35172 | 97 |
#371 := [rewrite* #113]: #370 |
himmelma@35172 | 98 |
#17 := (< #14 #16) |
himmelma@35172 | 99 |
#27 := (ite #17 #19 #26) |
himmelma@35172 | 100 |
#28 := (= #12 #27) |
himmelma@35172 | 101 |
#29 := (forall (vars (?x3 T2)) #28) |
himmelma@35172 | 102 |
#136 := (iff #29 #135) |
himmelma@35172 | 103 |
#133 := (iff #28 #132) |
himmelma@35172 | 104 |
#130 := (= #27 #127) |
himmelma@35172 | 105 |
#118 := (not #119) |
himmelma@35172 | 106 |
#124 := (ite #118 #19 #26) |
himmelma@35172 | 107 |
#128 := (= #124 #127) |
himmelma@35172 | 108 |
#129 := [rewrite]: #128 |
himmelma@35172 | 109 |
#125 := (= #27 #124) |
himmelma@35172 | 110 |
#122 := (iff #17 #118) |
himmelma@35172 | 111 |
#123 := [rewrite]: #122 |
himmelma@35172 | 112 |
#126 := [monotonicity #123]: #125 |
himmelma@35172 | 113 |
#131 := [trans #126 #129]: #130 |
himmelma@35172 | 114 |
#134 := [monotonicity #131]: #133 |
himmelma@35172 | 115 |
#137 := [quant-intro #134]: #136 |
himmelma@35172 | 116 |
#114 := [asserted]: #29 |
himmelma@35172 | 117 |
#138 := [mp #114 #137]: #135 |
himmelma@35172 | 118 |
#372 := [mp #138 #371]: #369 |
himmelma@35172 | 119 |
#367 := [mp~ #372 #366]: #369 |
himmelma@35172 | 120 |
#454 := [mp #367 #453]: #451 |
himmelma@35172 | 121 |
#550 := [mp #454 #549]: #545 |
himmelma@35172 | 122 |
#738 := (not #545) |
himmelma@35172 | 123 |
#928 := (or #738 #925) |
himmelma@35172 | 124 |
#75 := (= #74 uf_7) |
himmelma@35172 | 125 |
#906 := (ite #75 #905 #904) |
himmelma@35172 | 126 |
#907 := (+ #803 #120) |
himmelma@35172 | 127 |
#908 := (>= #907 0::int) |
himmelma@35172 | 128 |
#909 := (ite #908 #906 #903) |
himmelma@35172 | 129 |
#929 := (or #738 #909) |
himmelma@35172 | 130 |
#931 := (iff #929 #928) |
himmelma@35172 | 131 |
#933 := (iff #928 #928) |
himmelma@35172 | 132 |
#934 := [rewrite]: #933 |
himmelma@35172 | 133 |
#926 := (iff #909 #925) |
himmelma@35172 | 134 |
#923 := (iff #906 #922) |
himmelma@35172 | 135 |
#283 := (iff #75 #281) |
himmelma@35172 | 136 |
#284 := [rewrite]: #283 |
himmelma@35172 | 137 |
#924 := [monotonicity #284]: #923 |
himmelma@35172 | 138 |
#920 := (iff #908 #917) |
himmelma@35172 | 139 |
#910 := (+ #120 #803) |
himmelma@35172 | 140 |
#913 := (>= #910 0::int) |
himmelma@35172 | 141 |
#918 := (iff #913 #917) |
himmelma@35172 | 142 |
#919 := [rewrite]: #918 |
himmelma@35172 | 143 |
#914 := (iff #908 #913) |
himmelma@35172 | 144 |
#911 := (= #907 #910) |
himmelma@35172 | 145 |
#912 := [rewrite]: #911 |
himmelma@35172 | 146 |
#915 := [monotonicity #912]: #914 |
himmelma@35172 | 147 |
#921 := [trans #915 #919]: #920 |
himmelma@35172 | 148 |
#927 := [monotonicity #921 #924]: #926 |
himmelma@35172 | 149 |
#932 := [monotonicity #927]: #931 |
himmelma@35172 | 150 |
#935 := [trans #932 #934]: #931 |
himmelma@35172 | 151 |
#930 := [quant-inst]: #929 |
himmelma@35172 | 152 |
#936 := [mp #930 #935]: #928 |
himmelma@35172 | 153 |
#1300 := [unit-resolution #936 #550]: #925 |
himmelma@35172 | 154 |
#989 := (= #16 #803) |
himmelma@35172 | 155 |
#1277 := (= #803 #16) |
himmelma@35172 | 156 |
#280 := [asserted]: #75 |
himmelma@35172 | 157 |
#287 := [mp #280 #284]: #281 |
himmelma@35172 | 158 |
#1276 := [symm #287]: #75 |
himmelma@35172 | 159 |
#1278 := [monotonicity #1276]: #1277 |
himmelma@35172 | 160 |
#1301 := [symm #1278]: #989 |
himmelma@35172 | 161 |
#1302 := (not #989) |
himmelma@35172 | 162 |
#1303 := (or #1302 #917) |
himmelma@35172 | 163 |
#1304 := [th-lemma]: #1303 |
himmelma@35172 | 164 |
#1305 := [unit-resolution #1304 #1301]: #917 |
himmelma@35172 | 165 |
#950 := (not #917) |
himmelma@35172 | 166 |
#949 := (not #925) |
himmelma@35172 | 167 |
#951 := (or #949 #950 #922) |
himmelma@35172 | 168 |
#952 := [def-axiom]: #951 |
himmelma@35172 | 169 |
#1306 := [unit-resolution #952 #1305 #1300]: #922 |
himmelma@35172 | 170 |
#937 := (not #922) |
himmelma@35172 | 171 |
#1307 := (or #937 #905) |
himmelma@35172 | 172 |
#938 := (not #281) |
himmelma@35172 | 173 |
#939 := (or #937 #938 #905) |
himmelma@35172 | 174 |
#940 := [def-axiom]: #939 |
himmelma@35172 | 175 |
#1308 := [unit-resolution #940 #287]: #1307 |
himmelma@35172 | 176 |
#1309 := [unit-resolution #1308 #1306]: #905 |
himmelma@35172 | 177 |
#1356 := (= #799 #23) |
himmelma@35172 | 178 |
#800 := (= #23 #799) |
himmelma@35172 | 179 |
decl uf_15 :: T4 |
himmelma@35172 | 180 |
#40 := uf_15 |
himmelma@35172 | 181 |
#41 := (uf_5 uf_15) |
himmelma@35172 | 182 |
#814 := (+ #41 #813) |
himmelma@35172 | 183 |
#815 := (<= #814 0::int) |
himmelma@35172 | 184 |
#836 := (not #815) |
himmelma@35172 | 185 |
#158 := (* -1::int #41) |
himmelma@35172 | 186 |
#1270 := (+ #16 #158) |
himmelma@35172 | 187 |
#1265 := (>= #1270 0::int) |
himmelma@35172 | 188 |
#1339 := (not #1265) |
himmelma@35172 | 189 |
#1269 := (= #16 #41) |
himmelma@35172 | 190 |
#1298 := (not #1269) |
himmelma@35172 | 191 |
#286 := (= uf_7 uf_15) |
himmelma@35172 | 192 |
#44 := (uf_10 uf_15) |
himmelma@35172 | 193 |
#72 := (uf_6 #44) |
himmelma@35172 | 194 |
#73 := (= #72 uf_15) |
himmelma@35172 | 195 |
#277 := (= uf_15 #72) |
himmelma@35172 | 196 |
#278 := (iff #73 #277) |
himmelma@35172 | 197 |
#279 := [rewrite]: #278 |
himmelma@35172 | 198 |
#276 := [asserted]: #73 |
himmelma@35172 | 199 |
#282 := [mp #276 #279]: #277 |
himmelma@35172 | 200 |
#1274 := [symm #282]: #73 |
himmelma@35172 | 201 |
#729 := (= uf_7 #72) |
himmelma@35172 | 202 |
decl uf_17 :: (-> int T4) |
himmelma@35172 | 203 |
#611 := (uf_5 #72) |
himmelma@35172 | 204 |
#991 := (uf_17 #611) |
himmelma@35172 | 205 |
#1289 := (= #991 #72) |
himmelma@35172 | 206 |
#992 := (= #72 #991) |
himmelma@35172 | 207 |
#55 := (:var 0 T4) |
himmelma@35172 | 208 |
#56 := (uf_5 #55) |
himmelma@35172 | 209 |
#574 := (pattern #56) |
himmelma@35172 | 210 |
#57 := (uf_17 #56) |
himmelma@35172 | 211 |
#177 := (= #55 #57) |
himmelma@35172 | 212 |
#575 := (forall (vars (?x7 T4)) (:pat #574) #177) |
himmelma@35172 | 213 |
#195 := (forall (vars (?x7 T4)) #177) |
himmelma@35172 | 214 |
#578 := (iff #195 #575) |
himmelma@35172 | 215 |
#576 := (iff #177 #177) |
himmelma@35172 | 216 |
#577 := [refl]: #576 |
himmelma@35172 | 217 |
#579 := [quant-intro #577]: #578 |
himmelma@35172 | 218 |
#405 := (~ #195 #195) |
himmelma@35172 | 219 |
#403 := (~ #177 #177) |
himmelma@35172 | 220 |
#404 := [refl]: #403 |
himmelma@35172 | 221 |
#406 := [nnf-pos #404]: #405 |
himmelma@35172 | 222 |
#58 := (= #57 #55) |
himmelma@35172 | 223 |
#59 := (forall (vars (?x7 T4)) #58) |
himmelma@35172 | 224 |
#196 := (iff #59 #195) |
himmelma@35172 | 225 |
#193 := (iff #58 #177) |
himmelma@35172 | 226 |
#194 := [rewrite]: #193 |
himmelma@35172 | 227 |
#197 := [quant-intro #194]: #196 |
himmelma@35172 | 228 |
#155 := [asserted]: #59 |
himmelma@35172 | 229 |
#200 := [mp #155 #197]: #195 |
himmelma@35172 | 230 |
#407 := [mp~ #200 #406]: #195 |
himmelma@35172 | 231 |
#580 := [mp #407 #579]: #575 |
himmelma@35172 | 232 |
#995 := (not #575) |
himmelma@35172 | 233 |
#996 := (or #995 #992) |
himmelma@35172 | 234 |
#997 := [quant-inst]: #996 |
himmelma@35172 | 235 |
#1273 := [unit-resolution #997 #580]: #992 |
himmelma@35172 | 236 |
#1290 := [symm #1273]: #1289 |
himmelma@35172 | 237 |
#1293 := (= uf_7 #991) |
himmelma@35172 | 238 |
#993 := (uf_17 #803) |
himmelma@35172 | 239 |
#1287 := (= #993 #991) |
himmelma@35172 | 240 |
#1284 := (= #803 #611) |
himmelma@35172 | 241 |
#987 := (= #41 #611) |
himmelma@35172 | 242 |
#1279 := (= #611 #41) |
himmelma@35172 | 243 |
#1280 := [monotonicity #1274]: #1279 |
himmelma@35172 | 244 |
#1281 := [symm #1280]: #987 |
himmelma@35172 | 245 |
#1282 := (= #803 #41) |
himmelma@35172 | 246 |
#1275 := [hypothesis]: #1269 |
himmelma@35172 | 247 |
#1283 := [trans #1278 #1275]: #1282 |
himmelma@35172 | 248 |
#1285 := [trans #1283 #1281]: #1284 |
himmelma@35172 | 249 |
#1288 := [monotonicity #1285]: #1287 |
himmelma@35172 | 250 |
#1291 := (= uf_7 #993) |
himmelma@35172 | 251 |
#994 := (= #74 #993) |
himmelma@35172 | 252 |
#1000 := (or #995 #994) |
himmelma@35172 | 253 |
#1001 := [quant-inst]: #1000 |
himmelma@35172 | 254 |
#1286 := [unit-resolution #1001 #580]: #994 |
himmelma@35172 | 255 |
#1292 := [trans #287 #1286]: #1291 |
himmelma@35172 | 256 |
#1294 := [trans #1292 #1288]: #1293 |
himmelma@35172 | 257 |
#1295 := [trans #1294 #1290]: #729 |
himmelma@35172 | 258 |
#1296 := [trans #1295 #1274]: #286 |
himmelma@35172 | 259 |
#290 := (not #286) |
himmelma@35172 | 260 |
#76 := (= uf_15 uf_7) |
himmelma@35172 | 261 |
#77 := (not #76) |
himmelma@35172 | 262 |
#291 := (iff #77 #290) |
himmelma@35172 | 263 |
#288 := (iff #76 #286) |
himmelma@35172 | 264 |
#289 := [rewrite]: #288 |
himmelma@35172 | 265 |
#292 := [monotonicity #289]: #291 |
himmelma@35172 | 266 |
#285 := [asserted]: #77 |
himmelma@35172 | 267 |
#295 := [mp #285 #292]: #290 |
himmelma@35172 | 268 |
#1297 := [unit-resolution #295 #1296]: false |
himmelma@35172 | 269 |
#1299 := [lemma #1297]: #1298 |
himmelma@35172 | 270 |
#1342 := (or #1269 #1339) |
himmelma@35172 | 271 |
#1271 := (<= #1270 0::int) |
himmelma@35172 | 272 |
#621 := (* -1::int #611) |
himmelma@35172 | 273 |
#723 := (+ #16 #621) |
himmelma@35172 | 274 |
#724 := (<= #723 0::int) |
himmelma@35172 | 275 |
decl uf_12 :: T1 |
himmelma@35172 | 276 |
#30 := uf_12 |
himmelma@35172 | 277 |
#88 := (uf_2 uf_12) |
himmelma@35172 | 278 |
#771 := (uf_1 #88 #44) |
himmelma@35172 | 279 |
#45 := (uf_1 uf_9 #44) |
himmelma@35172 | 280 |
#772 := (= #45 #771) |
himmelma@35172 | 281 |
#796 := (not #772) |
himmelma@35172 | 282 |
decl uf_14 :: T1 |
himmelma@35172 | 283 |
#38 := uf_14 |
himmelma@35172 | 284 |
#83 := (uf_2 uf_14) |
himmelma@35172 | 285 |
#656 := (uf_1 #83 #44) |
himmelma@35172 | 286 |
#1239 := (= #656 #771) |
himmelma@35172 | 287 |
#1252 := (not #1239) |
himmelma@35172 | 288 |
#1324 := (iff #1252 #796) |
himmelma@35172 | 289 |
#1322 := (iff #1239 #772) |
himmelma@35172 | 290 |
#1320 := (= #656 #45) |
himmelma@35172 | 291 |
#661 := (= #45 #656) |
himmelma@35172 | 292 |
#659 := (uf_1 uf_11 #44) |
himmelma@35172 | 293 |
#664 := (= #656 #659) |
himmelma@35172 | 294 |
#667 := (ite #277 #661 #664) |
himmelma@35172 | 295 |
#657 := (uf_1 uf_8 #44) |
himmelma@35172 | 296 |
#670 := (= #656 #657) |
himmelma@35172 | 297 |
#622 := (+ #41 #621) |
himmelma@35172 | 298 |
#623 := (<= #622 0::int) |
himmelma@35172 | 299 |
#673 := (ite #623 #667 #670) |
himmelma@35172 | 300 |
#84 := (uf_1 #83 #6) |
himmelma@35172 | 301 |
#560 := (pattern #84) |
himmelma@35172 | 302 |
#467 := (= #19 #84) |
himmelma@35172 | 303 |
#465 := (= #25 #84) |
himmelma@35172 | 304 |
#464 := (= #45 #84) |
himmelma@35172 | 305 |
#43 := (= #13 uf_15) |
himmelma@35172 | 306 |
#466 := (ite #43 #464 #465) |
himmelma@35172 | 307 |
#159 := (+ #14 #158) |
himmelma@35172 | 308 |
#157 := (>= #159 0::int) |
himmelma@35172 | 309 |
#468 := (ite #157 #466 #467) |
himmelma@35172 | 310 |
#561 := (forall (vars (?x5 T2)) (:pat #541 #560 #543 #544) #468) |
himmelma@35172 | 311 |
#471 := (forall (vars (?x5 T2)) #468) |
himmelma@35172 | 312 |
#564 := (iff #471 #561) |
himmelma@35172 | 313 |
#562 := (iff #468 #468) |
himmelma@35172 | 314 |
#563 := [refl]: #562 |
himmelma@35172 | 315 |
#565 := [quant-intro #563]: #564 |
himmelma@35172 | 316 |
#46 := (ite #43 #45 #25) |
himmelma@35172 | 317 |
#165 := (ite #157 #46 #19) |
himmelma@35172 | 318 |
#378 := (= #84 #165) |
himmelma@35172 | 319 |
#379 := (forall (vars (?x5 T2)) #378) |
himmelma@35172 | 320 |
#472 := (iff #379 #471) |
himmelma@35172 | 321 |
#469 := (iff #378 #468) |
himmelma@35172 | 322 |
#470 := [rewrite]: #469 |
himmelma@35172 | 323 |
#473 := [quant-intro #470]: #472 |
himmelma@35172 | 324 |
#359 := (~ #379 #379) |
himmelma@35172 | 325 |
#361 := (~ #378 #378) |
himmelma@35172 | 326 |
#358 := [refl]: #361 |
himmelma@35172 | 327 |
#356 := [nnf-pos #358]: #359 |
himmelma@35172 | 328 |
#39 := (uf_3 uf_14 #6) |
himmelma@35172 | 329 |
#170 := (= #39 #165) |
himmelma@35172 | 330 |
#173 := (forall (vars (?x5 T2)) #170) |
himmelma@35172 | 331 |
#380 := (iff #173 #379) |
himmelma@35172 | 332 |
#381 := [rewrite* #113]: #380 |
himmelma@35172 | 333 |
#42 := (< #14 #41) |
himmelma@35172 | 334 |
#47 := (ite #42 #19 #46) |
himmelma@35172 | 335 |
#48 := (= #39 #47) |
himmelma@35172 | 336 |
#49 := (forall (vars (?x5 T2)) #48) |
himmelma@35172 | 337 |
#174 := (iff #49 #173) |
himmelma@35172 | 338 |
#171 := (iff #48 #170) |
himmelma@35172 | 339 |
#168 := (= #47 #165) |
himmelma@35172 | 340 |
#156 := (not #157) |
himmelma@35172 | 341 |
#162 := (ite #156 #19 #46) |
himmelma@35172 | 342 |
#166 := (= #162 #165) |
himmelma@35172 | 343 |
#167 := [rewrite]: #166 |
himmelma@35172 | 344 |
#163 := (= #47 #162) |
himmelma@35172 | 345 |
#160 := (iff #42 #156) |
himmelma@35172 | 346 |
#161 := [rewrite]: #160 |
himmelma@35172 | 347 |
#164 := [monotonicity #161]: #163 |
himmelma@35172 | 348 |
#169 := [trans #164 #167]: #168 |
himmelma@35172 | 349 |
#172 := [monotonicity #169]: #171 |
himmelma@35172 | 350 |
#175 := [quant-intro #172]: #174 |
himmelma@35172 | 351 |
#116 := [asserted]: #49 |
himmelma@35172 | 352 |
#176 := [mp #116 #175]: #173 |
himmelma@35172 | 353 |
#382 := [mp #176 #381]: #379 |
himmelma@35172 | 354 |
#357 := [mp~ #382 #356]: #379 |
himmelma@35172 | 355 |
#474 := [mp #357 #473]: #471 |
himmelma@35172 | 356 |
#566 := [mp #474 #565]: #561 |
himmelma@35172 | 357 |
#676 := (not #561) |
himmelma@35172 | 358 |
#677 := (or #676 #673) |
himmelma@35172 | 359 |
#658 := (= #657 #656) |
himmelma@35172 | 360 |
#660 := (= #659 #656) |
himmelma@35172 | 361 |
#662 := (ite #73 #661 #660) |
himmelma@35172 | 362 |
#612 := (+ #611 #158) |
himmelma@35172 | 363 |
#613 := (>= #612 0::int) |
himmelma@35172 | 364 |
#663 := (ite #613 #662 #658) |
himmelma@35172 | 365 |
#678 := (or #676 #663) |
himmelma@35172 | 366 |
#680 := (iff #678 #677) |
himmelma@35172 | 367 |
#682 := (iff #677 #677) |
himmelma@35172 | 368 |
#683 := [rewrite]: #682 |
himmelma@35172 | 369 |
#674 := (iff #663 #673) |
himmelma@35172 | 370 |
#671 := (iff #658 #670) |
himmelma@35172 | 371 |
#672 := [rewrite]: #671 |
himmelma@35172 | 372 |
#668 := (iff #662 #667) |
himmelma@35172 | 373 |
#665 := (iff #660 #664) |
himmelma@35172 | 374 |
#666 := [rewrite]: #665 |
himmelma@35172 | 375 |
#669 := [monotonicity #279 #666]: #668 |
himmelma@35172 | 376 |
#626 := (iff #613 #623) |
himmelma@35172 | 377 |
#615 := (+ #158 #611) |
himmelma@35172 | 378 |
#618 := (>= #615 0::int) |
himmelma@35172 | 379 |
#624 := (iff #618 #623) |
himmelma@35172 | 380 |
#625 := [rewrite]: #624 |
himmelma@35172 | 381 |
#619 := (iff #613 #618) |
himmelma@35172 | 382 |
#616 := (= #612 #615) |
himmelma@35172 | 383 |
#617 := [rewrite]: #616 |
himmelma@35172 | 384 |
#620 := [monotonicity #617]: #619 |
himmelma@35172 | 385 |
#627 := [trans #620 #625]: #626 |
himmelma@35172 | 386 |
#675 := [monotonicity #627 #669 #672]: #674 |
himmelma@35172 | 387 |
#681 := [monotonicity #675]: #680 |
himmelma@35172 | 388 |
#684 := [trans #681 #683]: #680 |
himmelma@35172 | 389 |
#679 := [quant-inst]: #678 |
himmelma@35172 | 390 |
#685 := [mp #679 #684]: #677 |
himmelma@35172 | 391 |
#1311 := [unit-resolution #685 #566]: #673 |
himmelma@35172 | 392 |
#1312 := (not #987) |
himmelma@35172 | 393 |
#1313 := (or #1312 #623) |
himmelma@35172 | 394 |
#1314 := [th-lemma]: #1313 |
himmelma@35172 | 395 |
#1315 := [unit-resolution #1314 #1281]: #623 |
himmelma@35172 | 396 |
#645 := (not #623) |
himmelma@35172 | 397 |
#698 := (not #673) |
himmelma@35172 | 398 |
#699 := (or #698 #645 #667) |
himmelma@35172 | 399 |
#700 := [def-axiom]: #699 |
himmelma@35172 | 400 |
#1316 := [unit-resolution #700 #1315 #1311]: #667 |
himmelma@35172 | 401 |
#686 := (not #667) |
himmelma@35172 | 402 |
#1317 := (or #686 #661) |
himmelma@35172 | 403 |
#687 := (not #277) |
himmelma@35172 | 404 |
#688 := (or #686 #687 #661) |
himmelma@35172 | 405 |
#689 := [def-axiom]: #688 |
himmelma@35172 | 406 |
#1318 := [unit-resolution #689 #282]: #1317 |
himmelma@35172 | 407 |
#1319 := [unit-resolution #1318 #1316]: #661 |
himmelma@35172 | 408 |
#1321 := [symm #1319]: #1320 |
himmelma@35172 | 409 |
#1323 := [monotonicity #1321]: #1322 |
himmelma@35172 | 410 |
#1325 := [monotonicity #1323]: #1324 |
himmelma@35172 | 411 |
#1145 := (* -1::real #771) |
himmelma@35172 | 412 |
#1240 := (+ #656 #1145) |
himmelma@35172 | 413 |
#1241 := (<= #1240 0::real) |
himmelma@35172 | 414 |
#1249 := (not #1241) |
himmelma@35172 | 415 |
#1243 := [hypothesis]: #1241 |
himmelma@35172 | 416 |
decl uf_18 :: T3 |
himmelma@35172 | 417 |
#80 := uf_18 |
himmelma@35172 | 418 |
#1040 := (uf_1 uf_18 #44) |
himmelma@35172 | 419 |
#1043 := (* -1::real #1040) |
himmelma@35172 | 420 |
#1156 := (+ #771 #1043) |
himmelma@35172 | 421 |
#1157 := (>= #1156 0::real) |
himmelma@35172 | 422 |
#1189 := (not #1157) |
himmelma@35172 | 423 |
#708 := (uf_1 #91 #44) |
himmelma@35172 | 424 |
#1168 := (+ #708 #1043) |
himmelma@35172 | 425 |
#1169 := (<= #1168 0::real) |
himmelma@35172 | 426 |
#1174 := (or #1157 #1169) |
himmelma@35172 | 427 |
#1177 := (not #1174) |
himmelma@35172 | 428 |
#89 := (uf_1 #88 #6) |
himmelma@35172 | 429 |
#552 := (pattern #89) |
himmelma@35172 | 430 |
#81 := (uf_1 uf_18 #6) |
himmelma@35172 | 431 |
#594 := (pattern #81) |
himmelma@35172 | 432 |
#324 := (* -1::real #92) |
himmelma@35172 | 433 |
#325 := (+ #81 #324) |
himmelma@35172 | 434 |
#323 := (>= #325 0::real) |
himmelma@35172 | 435 |
#317 := (* -1::real #89) |
himmelma@35172 | 436 |
#318 := (+ #81 #317) |
himmelma@35172 | 437 |
#319 := (<= #318 0::real) |
himmelma@35172 | 438 |
#436 := (or #319 #323) |
himmelma@35172 | 439 |
#437 := (not #436) |
himmelma@35172 | 440 |
#601 := (forall (vars (?x11 T2)) (:pat #594 #552 #542) #437) |
himmelma@35172 | 441 |
#440 := (forall (vars (?x11 T2)) #437) |
himmelma@35172 | 442 |
#604 := (iff #440 #601) |
himmelma@35172 | 443 |
#602 := (iff #437 #437) |
himmelma@35172 | 444 |
#603 := [refl]: #602 |
himmelma@35172 | 445 |
#605 := [quant-intro #603]: #604 |
himmelma@35172 | 446 |
#326 := (not #323) |
himmelma@35172 | 447 |
#320 := (not #319) |
himmelma@35172 | 448 |
#329 := (and #320 #326) |
himmelma@35172 | 449 |
#332 := (forall (vars (?x11 T2)) #329) |
himmelma@35172 | 450 |
#441 := (iff #332 #440) |
himmelma@35172 | 451 |
#438 := (iff #329 #437) |
himmelma@35172 | 452 |
#439 := [rewrite]: #438 |
himmelma@35172 | 453 |
#442 := [quant-intro #439]: #441 |
himmelma@35172 | 454 |
#425 := (~ #332 #332) |
himmelma@35172 | 455 |
#423 := (~ #329 #329) |
himmelma@35172 | 456 |
#424 := [refl]: #423 |
himmelma@35172 | 457 |
#426 := [nnf-pos #424]: #425 |
himmelma@35172 | 458 |
#306 := (* -1::real #84) |
himmelma@35172 | 459 |
#307 := (+ #81 #306) |
himmelma@35172 | 460 |
#305 := (>= #307 0::real) |
himmelma@35172 | 461 |
#308 := (not #305) |
himmelma@35172 | 462 |
#301 := (* -1::real #81) |
himmelma@35172 | 463 |
#79 := (uf_1 #78 #6) |
himmelma@35172 | 464 |
#302 := (+ #79 #301) |
himmelma@35172 | 465 |
#300 := (>= #302 0::real) |
himmelma@35172 | 466 |
#298 := (not #300) |
himmelma@35172 | 467 |
#311 := (and #298 #308) |
himmelma@35172 | 468 |
#314 := (forall (vars (?x10 T2)) #311) |
himmelma@35172 | 469 |
#335 := (and #314 #332) |
himmelma@35172 | 470 |
#93 := (< #81 #92) |
himmelma@35172 | 471 |
#90 := (< #89 #81) |
himmelma@35172 | 472 |
#94 := (and #90 #93) |
himmelma@35172 | 473 |
#95 := (forall (vars (?x11 T2)) #94) |
himmelma@35172 | 474 |
#85 := (< #81 #84) |
himmelma@35172 | 475 |
#82 := (< #79 #81) |
himmelma@35172 | 476 |
#86 := (and #82 #85) |
himmelma@35172 | 477 |
#87 := (forall (vars (?x10 T2)) #86) |
himmelma@35172 | 478 |
#96 := (and #87 #95) |
himmelma@35172 | 479 |
#336 := (iff #96 #335) |
himmelma@35172 | 480 |
#333 := (iff #95 #332) |
himmelma@35172 | 481 |
#330 := (iff #94 #329) |
himmelma@35172 | 482 |
#327 := (iff #93 #326) |
himmelma@35172 | 483 |
#328 := [rewrite]: #327 |
himmelma@35172 | 484 |
#321 := (iff #90 #320) |
himmelma@35172 | 485 |
#322 := [rewrite]: #321 |
himmelma@35172 | 486 |
#331 := [monotonicity #322 #328]: #330 |
himmelma@35172 | 487 |
#334 := [quant-intro #331]: #333 |
himmelma@35172 | 488 |
#315 := (iff #87 #314) |
himmelma@35172 | 489 |
#312 := (iff #86 #311) |
himmelma@35172 | 490 |
#309 := (iff #85 #308) |
himmelma@35172 | 491 |
#310 := [rewrite]: #309 |
himmelma@35172 | 492 |
#303 := (iff #82 #298) |
himmelma@35172 | 493 |
#304 := [rewrite]: #303 |
himmelma@35172 | 494 |
#313 := [monotonicity #304 #310]: #312 |
himmelma@35172 | 495 |
#316 := [quant-intro #313]: #315 |
himmelma@35172 | 496 |
#337 := [monotonicity #316 #334]: #336 |
himmelma@35172 | 497 |
#293 := [asserted]: #96 |
himmelma@35172 | 498 |
#338 := [mp #293 #337]: #335 |
himmelma@35172 | 499 |
#340 := [and-elim #338]: #332 |
himmelma@35172 | 500 |
#427 := [mp~ #340 #426]: #332 |
himmelma@35172 | 501 |
#443 := [mp #427 #442]: #440 |
himmelma@35172 | 502 |
#606 := [mp #443 #605]: #601 |
himmelma@35172 | 503 |
#1124 := (not #601) |
himmelma@35172 | 504 |
#1180 := (or #1124 #1177) |
himmelma@35172 | 505 |
#1142 := (* -1::real #708) |
himmelma@35172 | 506 |
#1143 := (+ #1040 #1142) |
himmelma@35172 | 507 |
#1144 := (>= #1143 0::real) |
himmelma@35172 | 508 |
#1146 := (+ #1040 #1145) |
himmelma@35172 | 509 |
#1147 := (<= #1146 0::real) |
himmelma@35172 | 510 |
#1148 := (or #1147 #1144) |
himmelma@35172 | 511 |
#1149 := (not #1148) |
himmelma@35172 | 512 |
#1181 := (or #1124 #1149) |
himmelma@35172 | 513 |
#1183 := (iff #1181 #1180) |
himmelma@35172 | 514 |
#1185 := (iff #1180 #1180) |
himmelma@35172 | 515 |
#1186 := [rewrite]: #1185 |
himmelma@35172 | 516 |
#1178 := (iff #1149 #1177) |
himmelma@35172 | 517 |
#1175 := (iff #1148 #1174) |
himmelma@35172 | 518 |
#1172 := (iff #1144 #1169) |
himmelma@35172 | 519 |
#1162 := (+ #1142 #1040) |
himmelma@35172 | 520 |
#1165 := (>= #1162 0::real) |
himmelma@35172 | 521 |
#1170 := (iff #1165 #1169) |
himmelma@35172 | 522 |
#1171 := [rewrite]: #1170 |
himmelma@35172 | 523 |
#1166 := (iff #1144 #1165) |
himmelma@35172 | 524 |
#1163 := (= #1143 #1162) |
himmelma@35172 | 525 |
#1164 := [rewrite]: #1163 |
himmelma@35172 | 526 |
#1167 := [monotonicity #1164]: #1166 |
himmelma@35172 | 527 |
#1173 := [trans #1167 #1171]: #1172 |
himmelma@35172 | 528 |
#1160 := (iff #1147 #1157) |
himmelma@35172 | 529 |
#1150 := (+ #1145 #1040) |
himmelma@35172 | 530 |
#1153 := (<= #1150 0::real) |
himmelma@35172 | 531 |
#1158 := (iff #1153 #1157) |
himmelma@35172 | 532 |
#1159 := [rewrite]: #1158 |
himmelma@35172 | 533 |
#1154 := (iff #1147 #1153) |
himmelma@35172 | 534 |
#1151 := (= #1146 #1150) |
himmelma@35172 | 535 |
#1152 := [rewrite]: #1151 |
himmelma@35172 | 536 |
#1155 := [monotonicity #1152]: #1154 |
himmelma@35172 | 537 |
#1161 := [trans #1155 #1159]: #1160 |
himmelma@35172 | 538 |
#1176 := [monotonicity #1161 #1173]: #1175 |
himmelma@35172 | 539 |
#1179 := [monotonicity #1176]: #1178 |
himmelma@35172 | 540 |
#1184 := [monotonicity #1179]: #1183 |
himmelma@35172 | 541 |
#1187 := [trans #1184 #1186]: #1183 |
himmelma@35172 | 542 |
#1182 := [quant-inst]: #1181 |
himmelma@35172 | 543 |
#1188 := [mp #1182 #1187]: #1180 |
himmelma@35172 | 544 |
#1244 := [unit-resolution #1188 #606]: #1177 |
himmelma@35172 | 545 |
#1190 := (or #1174 #1189) |
himmelma@35172 | 546 |
#1191 := [def-axiom]: #1190 |
himmelma@35172 | 547 |
#1245 := [unit-resolution #1191 #1244]: #1189 |
himmelma@35172 | 548 |
#1054 := (+ #656 #1043) |
himmelma@35172 | 549 |
#1055 := (<= #1054 0::real) |
himmelma@35172 | 550 |
#1079 := (not #1055) |
himmelma@35172 | 551 |
#607 := (uf_1 #78 #44) |
himmelma@35172 | 552 |
#1044 := (+ #607 #1043) |
himmelma@35172 | 553 |
#1045 := (>= #1044 0::real) |
himmelma@35172 | 554 |
#1060 := (or #1045 #1055) |
himmelma@35172 | 555 |
#1063 := (not #1060) |
himmelma@35172 | 556 |
#567 := (pattern #79) |
himmelma@35172 | 557 |
#428 := (or #300 #305) |
himmelma@35172 | 558 |
#429 := (not #428) |
himmelma@35172 | 559 |
#595 := (forall (vars (?x10 T2)) (:pat #567 #594 #560) #429) |
himmelma@35172 | 560 |
#432 := (forall (vars (?x10 T2)) #429) |
himmelma@35172 | 561 |
#598 := (iff #432 #595) |
himmelma@35172 | 562 |
#596 := (iff #429 #429) |
himmelma@35172 | 563 |
#597 := [refl]: #596 |
himmelma@35172 | 564 |
#599 := [quant-intro #597]: #598 |
himmelma@35172 | 565 |
#433 := (iff #314 #432) |
himmelma@35172 | 566 |
#430 := (iff #311 #429) |
himmelma@35172 | 567 |
#431 := [rewrite]: #430 |
himmelma@35172 | 568 |
#434 := [quant-intro #431]: #433 |
himmelma@35172 | 569 |
#420 := (~ #314 #314) |
himmelma@35172 | 570 |
#418 := (~ #311 #311) |
himmelma@35172 | 571 |
#419 := [refl]: #418 |
himmelma@35172 | 572 |
#421 := [nnf-pos #419]: #420 |
himmelma@35172 | 573 |
#339 := [and-elim #338]: #314 |
himmelma@35172 | 574 |
#422 := [mp~ #339 #421]: #314 |
himmelma@35172 | 575 |
#435 := [mp #422 #434]: #432 |
himmelma@35172 | 576 |
#600 := [mp #435 #599]: #595 |
himmelma@35172 | 577 |
#1066 := (not #595) |
himmelma@35172 | 578 |
#1067 := (or #1066 #1063) |
himmelma@35172 | 579 |
#1039 := (* -1::real #656) |
himmelma@35172 | 580 |
#1041 := (+ #1040 #1039) |
himmelma@35172 | 581 |
#1042 := (>= #1041 0::real) |
himmelma@35172 | 582 |
#1046 := (or #1045 #1042) |
himmelma@35172 | 583 |
#1047 := (not #1046) |
himmelma@35172 | 584 |
#1068 := (or #1066 #1047) |
himmelma@35172 | 585 |
#1070 := (iff #1068 #1067) |
himmelma@35172 | 586 |
#1072 := (iff #1067 #1067) |
himmelma@35172 | 587 |
#1073 := [rewrite]: #1072 |
himmelma@35172 | 588 |
#1064 := (iff #1047 #1063) |
himmelma@35172 | 589 |
#1061 := (iff #1046 #1060) |
himmelma@35172 | 590 |
#1058 := (iff #1042 #1055) |
himmelma@35172 | 591 |
#1048 := (+ #1039 #1040) |
himmelma@35172 | 592 |
#1051 := (>= #1048 0::real) |
himmelma@35172 | 593 |
#1056 := (iff #1051 #1055) |
himmelma@35172 | 594 |
#1057 := [rewrite]: #1056 |
himmelma@35172 | 595 |
#1052 := (iff #1042 #1051) |
himmelma@35172 | 596 |
#1049 := (= #1041 #1048) |
himmelma@35172 | 597 |
#1050 := [rewrite]: #1049 |
himmelma@35172 | 598 |
#1053 := [monotonicity #1050]: #1052 |
himmelma@35172 | 599 |
#1059 := [trans #1053 #1057]: #1058 |
himmelma@35172 | 600 |
#1062 := [monotonicity #1059]: #1061 |
himmelma@35172 | 601 |
#1065 := [monotonicity #1062]: #1064 |
himmelma@35172 | 602 |
#1071 := [monotonicity #1065]: #1070 |
himmelma@35172 | 603 |
#1074 := [trans #1071 #1073]: #1070 |
himmelma@35172 | 604 |
#1069 := [quant-inst]: #1068 |
himmelma@35172 | 605 |
#1075 := [mp #1069 #1074]: #1067 |
himmelma@35172 | 606 |
#1246 := [unit-resolution #1075 #600]: #1063 |
himmelma@35172 | 607 |
#1080 := (or #1060 #1079) |
himmelma@35172 | 608 |
#1081 := [def-axiom]: #1080 |
himmelma@35172 | 609 |
#1247 := [unit-resolution #1081 #1246]: #1079 |
himmelma@35172 | 610 |
#1248 := [th-lemma #1247 #1245 #1243]: false |
himmelma@35172 | 611 |
#1250 := [lemma #1248]: #1249 |
himmelma@35172 | 612 |
#1253 := (or #1252 #1241) |
himmelma@35172 | 613 |
#1254 := [th-lemma]: #1253 |
himmelma@35172 | 614 |
#1310 := [unit-resolution #1254 #1250]: #1252 |
himmelma@35172 | 615 |
#1326 := [mp #1310 #1325]: #796 |
himmelma@35172 | 616 |
#1328 := (or #724 #772) |
himmelma@35172 | 617 |
decl uf_13 :: T3 |
himmelma@35172 | 618 |
#33 := uf_13 |
himmelma@35172 | 619 |
#609 := (uf_1 uf_13 #44) |
himmelma@35172 | 620 |
#773 := (= #609 #771) |
himmelma@35172 | 621 |
#775 := (ite #724 #773 #772) |
himmelma@35172 | 622 |
#32 := (uf_1 uf_9 #6) |
himmelma@35172 | 623 |
#553 := (pattern #32) |
himmelma@35172 | 624 |
#34 := (uf_1 uf_13 #6) |
himmelma@35172 | 625 |
#551 := (pattern #34) |
himmelma@35172 | 626 |
#456 := (= #32 #89) |
himmelma@35172 | 627 |
#455 := (= #34 #89) |
himmelma@35172 | 628 |
#457 := (ite #119 #455 #456) |
himmelma@35172 | 629 |
#554 := (forall (vars (?x4 T2)) (:pat #541 #551 #552 #553) #457) |
himmelma@35172 | 630 |
#460 := (forall (vars (?x4 T2)) #457) |
himmelma@35172 | 631 |
#557 := (iff #460 #554) |
himmelma@35172 | 632 |
#555 := (iff #457 #457) |
himmelma@35172 | 633 |
#556 := [refl]: #555 |
himmelma@35172 | 634 |
#558 := [quant-intro #556]: #557 |
himmelma@35172 | 635 |
#143 := (ite #119 #34 #32) |
himmelma@35172 | 636 |
#373 := (= #89 #143) |
himmelma@35172 | 637 |
#374 := (forall (vars (?x4 T2)) #373) |
himmelma@35172 | 638 |
#461 := (iff #374 #460) |
himmelma@35172 | 639 |
#458 := (iff #373 #457) |
himmelma@35172 | 640 |
#459 := [rewrite]: #458 |
himmelma@35172 | 641 |
#462 := [quant-intro #459]: #461 |
himmelma@35172 | 642 |
#362 := (~ #374 #374) |
himmelma@35172 | 643 |
#364 := (~ #373 #373) |
himmelma@35172 | 644 |
#365 := [refl]: #364 |
himmelma@35172 | 645 |
#363 := [nnf-pos #365]: #362 |
himmelma@35172 | 646 |
#31 := (uf_3 uf_12 #6) |
himmelma@35172 | 647 |
#148 := (= #31 #143) |
himmelma@35172 | 648 |
#151 := (forall (vars (?x4 T2)) #148) |
himmelma@35172 | 649 |
#375 := (iff #151 #374) |
himmelma@35172 | 650 |
#376 := [rewrite* #113]: #375 |
himmelma@35172 | 651 |
#35 := (ite #17 #32 #34) |
himmelma@35172 | 652 |
#36 := (= #31 #35) |
himmelma@35172 | 653 |
#37 := (forall (vars (?x4 T2)) #36) |
himmelma@35172 | 654 |
#152 := (iff #37 #151) |
himmelma@35172 | 655 |
#149 := (iff #36 #148) |
himmelma@35172 | 656 |
#146 := (= #35 #143) |
himmelma@35172 | 657 |
#140 := (ite #118 #32 #34) |
himmelma@35172 | 658 |
#144 := (= #140 #143) |
himmelma@35172 | 659 |
#145 := [rewrite]: #144 |
himmelma@35172 | 660 |
#141 := (= #35 #140) |
himmelma@35172 | 661 |
#142 := [monotonicity #123]: #141 |
himmelma@35172 | 662 |
#147 := [trans #142 #145]: #146 |
himmelma@35172 | 663 |
#150 := [monotonicity #147]: #149 |
himmelma@35172 | 664 |
#153 := [quant-intro #150]: #152 |
himmelma@35172 | 665 |
#115 := [asserted]: #37 |
himmelma@35172 | 666 |
#154 := [mp #115 #153]: #151 |
himmelma@35172 | 667 |
#377 := [mp #154 #376]: #374 |
himmelma@35172 | 668 |
#360 := [mp~ #377 #363]: #374 |
himmelma@35172 | 669 |
#463 := [mp #360 #462]: #460 |
himmelma@35172 | 670 |
#559 := [mp #463 #558]: #554 |
himmelma@35172 | 671 |
#778 := (not #554) |
himmelma@35172 | 672 |
#779 := (or #778 #775) |
himmelma@35172 | 673 |
#714 := (+ #611 #120) |
himmelma@35172 | 674 |
#715 := (>= #714 0::int) |
himmelma@35172 | 675 |
#774 := (ite #715 #773 #772) |
himmelma@35172 | 676 |
#780 := (or #778 #774) |
himmelma@35172 | 677 |
#782 := (iff #780 #779) |
himmelma@35172 | 678 |
#784 := (iff #779 #779) |
himmelma@35172 | 679 |
#785 := [rewrite]: #784 |
himmelma@35172 | 680 |
#776 := (iff #774 #775) |
himmelma@35172 | 681 |
#727 := (iff #715 #724) |
himmelma@35172 | 682 |
#717 := (+ #120 #611) |
himmelma@35172 | 683 |
#720 := (>= #717 0::int) |
himmelma@35172 | 684 |
#725 := (iff #720 #724) |
himmelma@35172 | 685 |
#726 := [rewrite]: #725 |
himmelma@35172 | 686 |
#721 := (iff #715 #720) |
himmelma@35172 | 687 |
#718 := (= #714 #717) |
himmelma@35172 | 688 |
#719 := [rewrite]: #718 |
himmelma@35172 | 689 |
#722 := [monotonicity #719]: #721 |
himmelma@35172 | 690 |
#728 := [trans #722 #726]: #727 |
himmelma@35172 | 691 |
#777 := [monotonicity #728]: #776 |
himmelma@35172 | 692 |
#783 := [monotonicity #777]: #782 |
himmelma@35172 | 693 |
#786 := [trans #783 #785]: #782 |
himmelma@35172 | 694 |
#781 := [quant-inst]: #780 |
himmelma@35172 | 695 |
#787 := [mp #781 #786]: #779 |
himmelma@35172 | 696 |
#1327 := [unit-resolution #787 #559]: #775 |
himmelma@35172 | 697 |
#788 := (not #775) |
himmelma@35172 | 698 |
#791 := (or #788 #724 #772) |
himmelma@35172 | 699 |
#792 := [def-axiom]: #791 |
himmelma@35172 | 700 |
#1329 := [unit-resolution #792 #1327]: #1328 |
himmelma@35172 | 701 |
#1330 := [unit-resolution #1329 #1326]: #724 |
himmelma@35172 | 702 |
#988 := (>= #622 0::int) |
himmelma@35172 | 703 |
#1331 := (or #1312 #988) |
himmelma@35172 | 704 |
#1332 := [th-lemma]: #1331 |
himmelma@35172 | 705 |
#1333 := [unit-resolution #1332 #1281]: #988 |
himmelma@35172 | 706 |
#761 := (not #724) |
himmelma@35172 | 707 |
#1334 := (not #988) |
himmelma@35172 | 708 |
#1335 := (or #1271 #1334 #761) |
himmelma@35172 | 709 |
#1336 := [th-lemma]: #1335 |
himmelma@35172 | 710 |
#1337 := [unit-resolution #1336 #1333 #1330]: #1271 |
himmelma@35172 | 711 |
#1338 := (not #1271) |
himmelma@35172 | 712 |
#1340 := (or #1269 #1338 #1339) |
himmelma@35172 | 713 |
#1341 := [th-lemma]: #1340 |
himmelma@35172 | 714 |
#1343 := [unit-resolution #1341 #1337]: #1342 |
himmelma@35172 | 715 |
#1344 := [unit-resolution #1343 #1299]: #1339 |
himmelma@35172 | 716 |
#990 := (>= #916 0::int) |
himmelma@35172 | 717 |
#1345 := (or #1302 #990) |
himmelma@35172 | 718 |
#1346 := [th-lemma]: #1345 |
himmelma@35172 | 719 |
#1347 := [unit-resolution #1346 #1301]: #990 |
himmelma@35172 | 720 |
#1348 := (not #990) |
himmelma@35172 | 721 |
#1349 := (or #836 #1348 #1265) |
himmelma@35172 | 722 |
#1350 := [th-lemma]: #1349 |
himmelma@35172 | 723 |
#1351 := [unit-resolution #1350 #1347 #1344]: #836 |
himmelma@35172 | 724 |
#1353 := (or #815 #800) |
himmelma@35172 | 725 |
#801 := (uf_1 uf_13 #22) |
himmelma@35172 | 726 |
#820 := (= #799 #801) |
himmelma@35172 | 727 |
#823 := (ite #815 #820 #800) |
himmelma@35172 | 728 |
#476 := (= #32 #79) |
himmelma@35172 | 729 |
#475 := (= #34 #79) |
himmelma@35172 | 730 |
#477 := (ite #157 #475 #476) |
himmelma@35172 | 731 |
#568 := (forall (vars (?x6 T2)) (:pat #541 #551 #567 #553) #477) |
himmelma@35172 | 732 |
#480 := (forall (vars (?x6 T2)) #477) |
himmelma@35172 | 733 |
#571 := (iff #480 #568) |
himmelma@35172 | 734 |
#569 := (iff #477 #477) |
himmelma@35172 | 735 |
#570 := [refl]: #569 |
himmelma@35172 | 736 |
#572 := [quant-intro #570]: #571 |
himmelma@35172 | 737 |
#181 := (ite #157 #34 #32) |
himmelma@35172 | 738 |
#383 := (= #79 #181) |
himmelma@35172 | 739 |
#384 := (forall (vars (?x6 T2)) #383) |
himmelma@35172 | 740 |
#481 := (iff #384 #480) |
himmelma@35172 | 741 |
#478 := (iff #383 #477) |
himmelma@35172 | 742 |
#479 := [rewrite]: #478 |
himmelma@35172 | 743 |
#482 := [quant-intro #479]: #481 |
himmelma@35172 | 744 |
#352 := (~ #384 #384) |
himmelma@35172 | 745 |
#354 := (~ #383 #383) |
himmelma@35172 | 746 |
#355 := [refl]: #354 |
himmelma@35172 | 747 |
#353 := [nnf-pos #355]: #352 |
himmelma@35172 | 748 |
#51 := (uf_3 uf_16 #6) |
himmelma@35172 | 749 |
#186 := (= #51 #181) |
himmelma@35172 | 750 |
#189 := (forall (vars (?x6 T2)) #186) |
himmelma@35172 | 751 |
#385 := (iff #189 #384) |
himmelma@35172 | 752 |
#386 := [rewrite* #113]: #385 |
himmelma@35172 | 753 |
#52 := (ite #42 #32 #34) |
himmelma@35172 | 754 |
#53 := (= #51 #52) |
himmelma@35172 | 755 |
#54 := (forall (vars (?x6 T2)) #53) |
himmelma@35172 | 756 |
#190 := (iff #54 #189) |
himmelma@35172 | 757 |
#187 := (iff #53 #186) |
himmelma@35172 | 758 |
#184 := (= #52 #181) |
himmelma@35172 | 759 |
#178 := (ite #156 #32 #34) |
himmelma@35172 | 760 |
#182 := (= #178 #181) |
himmelma@35172 | 761 |
#183 := [rewrite]: #182 |
himmelma@35172 | 762 |
#179 := (= #52 #178) |
himmelma@35172 | 763 |
#180 := [monotonicity #161]: #179 |
himmelma@35172 | 764 |
#185 := [trans #180 #183]: #184 |
himmelma@35172 | 765 |
#188 := [monotonicity #185]: #187 |
himmelma@35172 | 766 |
#191 := [quant-intro #188]: #190 |
himmelma@35172 | 767 |
#139 := [asserted]: #54 |
himmelma@35172 | 768 |
#192 := [mp #139 #191]: #189 |
himmelma@35172 | 769 |
#387 := [mp #192 #386]: #384 |
himmelma@35172 | 770 |
#402 := [mp~ #387 #353]: #384 |
himmelma@35172 | 771 |
#483 := [mp #402 #482]: #480 |
himmelma@35172 | 772 |
#573 := [mp #483 #572]: #568 |
himmelma@35172 | 773 |
#634 := (not #568) |
himmelma@35172 | 774 |
#826 := (or #634 #823) |
himmelma@35172 | 775 |
#802 := (= #801 #799) |
himmelma@35172 | 776 |
#804 := (+ #803 #158) |
himmelma@35172 | 777 |
#805 := (>= #804 0::int) |
himmelma@35172 | 778 |
#806 := (ite #805 #802 #800) |
himmelma@35172 | 779 |
#827 := (or #634 #806) |
himmelma@35172 | 780 |
#829 := (iff #827 #826) |
himmelma@35172 | 781 |
#831 := (iff #826 #826) |
himmelma@35172 | 782 |
#832 := [rewrite]: #831 |
himmelma@35172 | 783 |
#824 := (iff #806 #823) |
himmelma@35172 | 784 |
#821 := (iff #802 #820) |
himmelma@35172 | 785 |
#822 := [rewrite]: #821 |
himmelma@35172 | 786 |
#818 := (iff #805 #815) |
himmelma@35172 | 787 |
#807 := (+ #158 #803) |
himmelma@35172 | 788 |
#810 := (>= #807 0::int) |
himmelma@35172 | 789 |
#816 := (iff #810 #815) |
himmelma@35172 | 790 |
#817 := [rewrite]: #816 |
himmelma@35172 | 791 |
#811 := (iff #805 #810) |
himmelma@35172 | 792 |
#808 := (= #804 #807) |
himmelma@35172 | 793 |
#809 := [rewrite]: #808 |
himmelma@35172 | 794 |
#812 := [monotonicity #809]: #811 |
himmelma@35172 | 795 |
#819 := [trans #812 #817]: #818 |
himmelma@35172 | 796 |
#825 := [monotonicity #819 #822]: #824 |
himmelma@35172 | 797 |
#830 := [monotonicity #825]: #829 |
himmelma@35172 | 798 |
#833 := [trans #830 #832]: #829 |
himmelma@35172 | 799 |
#828 := [quant-inst]: #827 |
himmelma@35172 | 800 |
#834 := [mp #828 #833]: #826 |
himmelma@35172 | 801 |
#1352 := [unit-resolution #834 #573]: #823 |
himmelma@35172 | 802 |
#835 := (not #823) |
himmelma@35172 | 803 |
#839 := (or #835 #815 #800) |
himmelma@35172 | 804 |
#840 := [def-axiom]: #839 |
himmelma@35172 | 805 |
#1354 := [unit-resolution #840 #1352]: #1353 |
himmelma@35172 | 806 |
#1355 := [unit-resolution #1354 #1351]: #800 |
himmelma@35172 | 807 |
#1357 := [symm #1355]: #1356 |
himmelma@35172 | 808 |
#1358 := [trans #1357 #1309]: #1266 |
himmelma@35172 | 809 |
#1359 := (not #1266) |
himmelma@35172 | 810 |
#1360 := (or #1359 #1272) |
himmelma@35172 | 811 |
#1361 := [th-lemma]: #1360 |
himmelma@35172 | 812 |
#1362 := [unit-resolution #1361 #1358]: #1272 |
himmelma@35172 | 813 |
#1085 := (uf_1 uf_18 #22) |
himmelma@35172 | 814 |
#1099 := (* -1::real #1085) |
himmelma@35172 | 815 |
#1112 := (+ #902 #1099) |
himmelma@35172 | 816 |
#1113 := (<= #1112 0::real) |
himmelma@35172 | 817 |
#1137 := (not #1113) |
himmelma@35172 | 818 |
#960 := (uf_1 #88 #22) |
himmelma@35172 | 819 |
#1100 := (+ #960 #1099) |
himmelma@35172 | 820 |
#1101 := (>= #1100 0::real) |
himmelma@35172 | 821 |
#1118 := (or #1101 #1113) |
himmelma@35172 | 822 |
#1121 := (not #1118) |
himmelma@35172 | 823 |
#1125 := (or #1124 #1121) |
himmelma@35172 | 824 |
#1086 := (+ #1085 #1084) |
himmelma@35172 | 825 |
#1087 := (>= #1086 0::real) |
himmelma@35172 | 826 |
#1088 := (* -1::real #960) |
himmelma@35172 | 827 |
#1089 := (+ #1085 #1088) |
himmelma@35172 | 828 |
#1090 := (<= #1089 0::real) |
himmelma@35172 | 829 |
#1091 := (or #1090 #1087) |
himmelma@35172 | 830 |
#1092 := (not #1091) |
himmelma@35172 | 831 |
#1126 := (or #1124 #1092) |
himmelma@35172 | 832 |
#1128 := (iff #1126 #1125) |
himmelma@35172 | 833 |
#1130 := (iff #1125 #1125) |
himmelma@35172 | 834 |
#1131 := [rewrite]: #1130 |
himmelma@35172 | 835 |
#1122 := (iff #1092 #1121) |
himmelma@35172 | 836 |
#1119 := (iff #1091 #1118) |
himmelma@35172 | 837 |
#1116 := (iff #1087 #1113) |
himmelma@35172 | 838 |
#1106 := (+ #1084 #1085) |
himmelma@35172 | 839 |
#1109 := (>= #1106 0::real) |
himmelma@35172 | 840 |
#1114 := (iff #1109 #1113) |
himmelma@35172 | 841 |
#1115 := [rewrite]: #1114 |
himmelma@35172 | 842 |
#1110 := (iff #1087 #1109) |
himmelma@35172 | 843 |
#1107 := (= #1086 #1106) |
himmelma@35172 | 844 |
#1108 := [rewrite]: #1107 |
himmelma@35172 | 845 |
#1111 := [monotonicity #1108]: #1110 |
himmelma@35172 | 846 |
#1117 := [trans #1111 #1115]: #1116 |
himmelma@35172 | 847 |
#1104 := (iff #1090 #1101) |
himmelma@35172 | 848 |
#1093 := (+ #1088 #1085) |
himmelma@35172 | 849 |
#1096 := (<= #1093 0::real) |
himmelma@35172 | 850 |
#1102 := (iff #1096 #1101) |
himmelma@35172 | 851 |
#1103 := [rewrite]: #1102 |
himmelma@35172 | 852 |
#1097 := (iff #1090 #1096) |
himmelma@35172 | 853 |
#1094 := (= #1089 #1093) |
himmelma@35172 | 854 |
#1095 := [rewrite]: #1094 |
himmelma@35172 | 855 |
#1098 := [monotonicity #1095]: #1097 |
himmelma@35172 | 856 |
#1105 := [trans #1098 #1103]: #1104 |
himmelma@35172 | 857 |
#1120 := [monotonicity #1105 #1117]: #1119 |
himmelma@35172 | 858 |
#1123 := [monotonicity #1120]: #1122 |
himmelma@35172 | 859 |
#1129 := [monotonicity #1123]: #1128 |
himmelma@35172 | 860 |
#1132 := [trans #1129 #1131]: #1128 |
himmelma@35172 | 861 |
#1127 := [quant-inst]: #1126 |
himmelma@35172 | 862 |
#1133 := [mp #1127 #1132]: #1125 |
himmelma@35172 | 863 |
#1363 := [unit-resolution #1133 #606]: #1121 |
himmelma@35172 | 864 |
#1138 := (or #1118 #1137) |
himmelma@35172 | 865 |
#1139 := [def-axiom]: #1138 |
himmelma@35172 | 866 |
#1364 := [unit-resolution #1139 #1363]: #1137 |
himmelma@35172 | 867 |
#1200 := (+ #799 #1099) |
himmelma@35172 | 868 |
#1201 := (>= #1200 0::real) |
himmelma@35172 | 869 |
#1231 := (not #1201) |
himmelma@35172 | 870 |
#847 := (uf_1 #83 #22) |
himmelma@35172 | 871 |
#1210 := (+ #847 #1099) |
himmelma@35172 | 872 |
#1211 := (<= #1210 0::real) |
himmelma@35172 | 873 |
#1216 := (or #1201 #1211) |
himmelma@35172 | 874 |
#1219 := (not #1216) |
himmelma@35172 | 875 |
#1222 := (or #1066 #1219) |
himmelma@35172 | 876 |
#1197 := (* -1::real #847) |
himmelma@35172 | 877 |
#1198 := (+ #1085 #1197) |
himmelma@35172 | 878 |
#1199 := (>= #1198 0::real) |
himmelma@35172 | 879 |
#1202 := (or #1201 #1199) |
himmelma@35172 | 880 |
#1203 := (not #1202) |
himmelma@35172 | 881 |
#1223 := (or #1066 #1203) |
himmelma@35172 | 882 |
#1225 := (iff #1223 #1222) |
himmelma@35172 | 883 |
#1227 := (iff #1222 #1222) |
himmelma@35172 | 884 |
#1228 := [rewrite]: #1227 |
himmelma@35172 | 885 |
#1220 := (iff #1203 #1219) |
himmelma@35172 | 886 |
#1217 := (iff #1202 #1216) |
himmelma@35172 | 887 |
#1214 := (iff #1199 #1211) |
himmelma@35172 | 888 |
#1204 := (+ #1197 #1085) |
himmelma@35172 | 889 |
#1207 := (>= #1204 0::real) |
himmelma@35172 | 890 |
#1212 := (iff #1207 #1211) |
himmelma@35172 | 891 |
#1213 := [rewrite]: #1212 |
himmelma@35172 | 892 |
#1208 := (iff #1199 #1207) |
himmelma@35172 | 893 |
#1205 := (= #1198 #1204) |
himmelma@35172 | 894 |
#1206 := [rewrite]: #1205 |
himmelma@35172 | 895 |
#1209 := [monotonicity #1206]: #1208 |
himmelma@35172 | 896 |
#1215 := [trans #1209 #1213]: #1214 |
himmelma@35172 | 897 |
#1218 := [monotonicity #1215]: #1217 |
himmelma@35172 | 898 |
#1221 := [monotonicity #1218]: #1220 |
himmelma@35172 | 899 |
#1226 := [monotonicity #1221]: #1225 |
himmelma@35172 | 900 |
#1229 := [trans #1226 #1228]: #1225 |
himmelma@35172 | 901 |
#1224 := [quant-inst]: #1223 |
himmelma@35172 | 902 |
#1230 := [mp #1224 #1229]: #1222 |
himmelma@35172 | 903 |
#1365 := [unit-resolution #1230 #600]: #1219 |
himmelma@35172 | 904 |
#1232 := (or #1216 #1231) |
himmelma@35172 | 905 |
#1233 := [def-axiom]: #1232 |
himmelma@35172 | 906 |
#1366 := [unit-resolution #1233 #1365]: #1231 |
himmelma@35172 | 907 |
[th-lemma #1366 #1364 #1362]: false |
himmelma@35172 | 908 |
unsat |
himmelma@35172 | 909 |
NQHwTeL311Tq3wf2s5BReA 419 0 |
himmelma@35172 | 910 |
#2 := false |
himmelma@35172 | 911 |
#194 := 0::real |
himmelma@35172 | 912 |
decl uf_4 :: (-> T2 T3 real) |
himmelma@35172 | 913 |
decl uf_6 :: (-> T1 T3) |
himmelma@35172 | 914 |
decl uf_3 :: T1 |
himmelma@35172 | 915 |
#21 := uf_3 |
himmelma@35172 | 916 |
#25 := (uf_6 uf_3) |
himmelma@35172 | 917 |
decl uf_5 :: T2 |
himmelma@35172 | 918 |
#24 := uf_5 |
himmelma@35172 | 919 |
#26 := (uf_4 uf_5 #25) |
himmelma@35172 | 920 |
decl uf_7 :: T2 |
himmelma@35172 | 921 |
#27 := uf_7 |
himmelma@35172 | 922 |
#28 := (uf_4 uf_7 #25) |
himmelma@35172 | 923 |
decl uf_10 :: T1 |
himmelma@35172 | 924 |
#38 := uf_10 |
himmelma@35172 | 925 |
#42 := (uf_6 uf_10) |
himmelma@35172 | 926 |
decl uf_9 :: T2 |
himmelma@35172 | 927 |
#33 := uf_9 |
himmelma@35172 | 928 |
#43 := (uf_4 uf_9 #42) |
himmelma@35172 | 929 |
#41 := (= uf_3 uf_10) |
himmelma@35172 | 930 |
#44 := (ite #41 #43 #28) |
himmelma@35172 | 931 |
#9 := 0::int |
himmelma@35172 | 932 |
decl uf_2 :: (-> T1 int) |
himmelma@35172 | 933 |
#39 := (uf_2 uf_10) |
himmelma@35172 | 934 |
#226 := -1::int |
himmelma@35172 | 935 |
#229 := (* -1::int #39) |
himmelma@35172 | 936 |
#22 := (uf_2 uf_3) |
himmelma@35172 | 937 |
#230 := (+ #22 #229) |
himmelma@35172 | 938 |
#228 := (>= #230 0::int) |
himmelma@35172 | 939 |
#236 := (ite #228 #44 #26) |
himmelma@35172 | 940 |
#192 := -1::real |
himmelma@35172 | 941 |
#244 := (* -1::real #236) |
himmelma@35172 | 942 |
#642 := (+ #26 #244) |
himmelma@35172 | 943 |
#643 := (<= #642 0::real) |
himmelma@35172 | 944 |
#567 := (= #26 #236) |
himmelma@35172 | 945 |
#227 := (not #228) |
himmelma@35172 | 946 |
decl uf_1 :: (-> int T1) |
himmelma@35172 | 947 |
#593 := (uf_1 #39) |
himmelma@35172 | 948 |
#660 := (= #593 uf_10) |
himmelma@35172 | 949 |
#594 := (= uf_10 #593) |
himmelma@35172 | 950 |
#4 := (:var 0 T1) |
himmelma@35172 | 951 |
#5 := (uf_2 #4) |
himmelma@35172 | 952 |
#546 := (pattern #5) |
himmelma@35172 | 953 |
#6 := (uf_1 #5) |
himmelma@35172 | 954 |
#93 := (= #4 #6) |
himmelma@35172 | 955 |
#547 := (forall (vars (?x1 T1)) (:pat #546) #93) |
himmelma@35172 | 956 |
#96 := (forall (vars (?x1 T1)) #93) |
himmelma@35172 | 957 |
#550 := (iff #96 #547) |
himmelma@35172 | 958 |
#548 := (iff #93 #93) |
himmelma@35172 | 959 |
#549 := [refl]: #548 |
himmelma@35172 | 960 |
#551 := [quant-intro #549]: #550 |
himmelma@35172 | 961 |
#448 := (~ #96 #96) |
himmelma@35172 | 962 |
#450 := (~ #93 #93) |
himmelma@35172 | 963 |
#451 := [refl]: #450 |
himmelma@35172 | 964 |
#449 := [nnf-pos #451]: #448 |
himmelma@35172 | 965 |
#7 := (= #6 #4) |
himmelma@35172 | 966 |
#8 := (forall (vars (?x1 T1)) #7) |
himmelma@35172 | 967 |
#97 := (iff #8 #96) |
himmelma@35172 | 968 |
#94 := (iff #7 #93) |
himmelma@35172 | 969 |
#95 := [rewrite]: #94 |
himmelma@35172 | 970 |
#98 := [quant-intro #95]: #97 |
himmelma@35172 | 971 |
#92 := [asserted]: #8 |
himmelma@35172 | 972 |
#101 := [mp #92 #98]: #96 |
himmelma@35172 | 973 |
#446 := [mp~ #101 #449]: #96 |
himmelma@35172 | 974 |
#552 := [mp #446 #551]: #547 |
himmelma@35172 | 975 |
#595 := (not #547) |
himmelma@35172 | 976 |
#600 := (or #595 #594) |
himmelma@35172 | 977 |
#601 := [quant-inst]: #600 |
himmelma@35172 | 978 |
#654 := [unit-resolution #601 #552]: #594 |
himmelma@35172 | 979 |
#680 := [symm #654]: #660 |
himmelma@35172 | 980 |
#681 := (= uf_3 #593) |
himmelma@35172 | 981 |
#591 := (uf_1 #22) |
himmelma@35172 | 982 |
#658 := (= #591 #593) |
himmelma@35172 | 983 |
#656 := (= #593 #591) |
himmelma@35172 | 984 |
#652 := (= #39 #22) |
himmelma@35172 | 985 |
#647 := (= #22 #39) |
himmelma@35172 | 986 |
#290 := (<= #230 0::int) |
himmelma@35172 | 987 |
#70 := (<= #22 #39) |
himmelma@35172 | 988 |
#388 := (iff #70 #290) |
himmelma@35172 | 989 |
#389 := [rewrite]: #388 |
himmelma@35172 | 990 |
#341 := [asserted]: #70 |
himmelma@35172 | 991 |
#390 := [mp #341 #389]: #290 |
himmelma@35172 | 992 |
#646 := [hypothesis]: #228 |
himmelma@35172 | 993 |
#648 := [th-lemma #646 #390]: #647 |
himmelma@35172 | 994 |
#653 := [symm #648]: #652 |
himmelma@35172 | 995 |
#657 := [monotonicity #653]: #656 |
himmelma@35172 | 996 |
#659 := [symm #657]: #658 |
himmelma@35172 | 997 |
#592 := (= uf_3 #591) |
himmelma@35172 | 998 |
#596 := (or #595 #592) |
himmelma@35172 | 999 |
#597 := [quant-inst]: #596 |
himmelma@35172 | 1000 |
#655 := [unit-resolution #597 #552]: #592 |
himmelma@35172 | 1001 |
#682 := [trans #655 #659]: #681 |
himmelma@35172 | 1002 |
#683 := [trans #682 #680]: #41 |
himmelma@35172 | 1003 |
#570 := (not #41) |
himmelma@35172 | 1004 |
decl uf_11 :: T2 |
himmelma@35172 | 1005 |
#47 := uf_11 |
himmelma@35172 | 1006 |
#59 := (uf_4 uf_11 #42) |
himmelma@35172 | 1007 |
#278 := (ite #41 #26 #59) |
himmelma@35172 | 1008 |
#459 := (* -1::real #278) |
himmelma@35172 | 1009 |
#637 := (+ #26 #459) |
himmelma@35172 | 1010 |
#639 := (>= #637 0::real) |
himmelma@35172 | 1011 |
#585 := (= #26 #278) |
himmelma@35172 | 1012 |
#661 := [hypothesis]: #41 |
himmelma@35172 | 1013 |
#587 := (or #570 #585) |
himmelma@35172 | 1014 |
#588 := [def-axiom]: #587 |
himmelma@35172 | 1015 |
#662 := [unit-resolution #588 #661]: #585 |
himmelma@35172 | 1016 |
#663 := (not #585) |
himmelma@35172 | 1017 |
#664 := (or #663 #639) |
himmelma@35172 | 1018 |
#665 := [th-lemma]: #664 |
himmelma@35172 | 1019 |
#666 := [unit-resolution #665 #662]: #639 |
himmelma@35172 | 1020 |
decl uf_8 :: T2 |
himmelma@35172 | 1021 |
#30 := uf_8 |
himmelma@35172 | 1022 |
#56 := (uf_4 uf_8 #42) |
himmelma@35172 | 1023 |
#357 := (* -1::real #56) |
himmelma@35172 | 1024 |
#358 := (+ #43 #357) |
himmelma@35172 | 1025 |
#356 := (>= #358 0::real) |
himmelma@35172 | 1026 |
#355 := (not #356) |
himmelma@35172 | 1027 |
#374 := (* -1::real #59) |
himmelma@35172 | 1028 |
#375 := (+ #56 #374) |
himmelma@35172 | 1029 |
#373 := (>= #375 0::real) |
himmelma@35172 | 1030 |
#376 := (not #373) |
himmelma@35172 | 1031 |
#381 := (and #355 #376) |
himmelma@35172 | 1032 |
#64 := (< #39 #39) |
himmelma@35172 | 1033 |
#67 := (ite #64 #43 #59) |
himmelma@35172 | 1034 |
#68 := (< #56 #67) |
himmelma@35172 | 1035 |
#53 := (uf_4 uf_5 #42) |
himmelma@35172 | 1036 |
#65 := (ite #64 #53 #43) |
himmelma@35172 | 1037 |
#66 := (< #65 #56) |
himmelma@35172 | 1038 |
#69 := (and #66 #68) |
himmelma@35172 | 1039 |
#382 := (iff #69 #381) |
himmelma@35172 | 1040 |
#379 := (iff #68 #376) |
himmelma@35172 | 1041 |
#370 := (< #56 #59) |
himmelma@35172 | 1042 |
#377 := (iff #370 #376) |
himmelma@35172 | 1043 |
#378 := [rewrite]: #377 |
himmelma@35172 | 1044 |
#371 := (iff #68 #370) |
himmelma@35172 | 1045 |
#368 := (= #67 #59) |
himmelma@35172 | 1046 |
#363 := (ite false #43 #59) |
himmelma@35172 | 1047 |
#366 := (= #363 #59) |
himmelma@35172 | 1048 |
#367 := [rewrite]: #366 |
himmelma@35172 | 1049 |
#364 := (= #67 #363) |
himmelma@35172 | 1050 |
#343 := (iff #64 false) |
himmelma@35172 | 1051 |
#344 := [rewrite]: #343 |
himmelma@35172 | 1052 |
#365 := [monotonicity #344]: #364 |
himmelma@35172 | 1053 |
#369 := [trans #365 #367]: #368 |
himmelma@35172 | 1054 |
#372 := [monotonicity #369]: #371 |
himmelma@35172 | 1055 |
#380 := [trans #372 #378]: #379 |
himmelma@35172 | 1056 |
#361 := (iff #66 #355) |
himmelma@35172 | 1057 |
#352 := (< #43 #56) |
himmelma@35172 | 1058 |
#359 := (iff #352 #355) |
himmelma@35172 | 1059 |
#360 := [rewrite]: #359 |
himmelma@35172 | 1060 |
#353 := (iff #66 #352) |
himmelma@35172 | 1061 |
#350 := (= #65 #43) |
himmelma@35172 | 1062 |
#345 := (ite false #53 #43) |
himmelma@35172 | 1063 |
#348 := (= #345 #43) |
himmelma@35172 | 1064 |
#349 := [rewrite]: #348 |
himmelma@35172 | 1065 |
#346 := (= #65 #345) |
himmelma@35172 | 1066 |
#347 := [monotonicity #344]: #346 |
himmelma@35172 | 1067 |
#351 := [trans #347 #349]: #350 |
himmelma@35172 | 1068 |
#354 := [monotonicity #351]: #353 |
himmelma@35172 | 1069 |
#362 := [trans #354 #360]: #361 |
himmelma@35172 | 1070 |
#383 := [monotonicity #362 #380]: #382 |
himmelma@35172 | 1071 |
#340 := [asserted]: #69 |
himmelma@35172 | 1072 |
#384 := [mp #340 #383]: #381 |
himmelma@35172 | 1073 |
#385 := [and-elim #384]: #355 |
himmelma@35172 | 1074 |
#394 := (* -1::real #53) |
himmelma@35172 | 1075 |
#395 := (+ #43 #394) |
himmelma@35172 | 1076 |
#393 := (>= #395 0::real) |
himmelma@35172 | 1077 |
#54 := (uf_4 uf_7 #42) |
himmelma@35172 | 1078 |
#402 := (* -1::real #54) |
himmelma@35172 | 1079 |
#403 := (+ #53 #402) |
himmelma@35172 | 1080 |
#401 := (>= #403 0::real) |
himmelma@35172 | 1081 |
#397 := (+ #43 #374) |
himmelma@35172 | 1082 |
#398 := (<= #397 0::real) |
himmelma@35172 | 1083 |
#412 := (and #393 #398 #401) |
himmelma@35172 | 1084 |
#73 := (<= #43 #59) |
himmelma@35172 | 1085 |
#72 := (<= #53 #43) |
himmelma@35172 | 1086 |
#74 := (and #72 #73) |
himmelma@35172 | 1087 |
#71 := (<= #54 #53) |
himmelma@35172 | 1088 |
#75 := (and #71 #74) |
himmelma@35172 | 1089 |
#415 := (iff #75 #412) |
himmelma@35172 | 1090 |
#406 := (and #393 #398) |
himmelma@35172 | 1091 |
#409 := (and #401 #406) |
himmelma@35172 | 1092 |
#413 := (iff #409 #412) |
himmelma@35172 | 1093 |
#414 := [rewrite]: #413 |
himmelma@35172 | 1094 |
#410 := (iff #75 #409) |
himmelma@35172 | 1095 |
#407 := (iff #74 #406) |
himmelma@35172 | 1096 |
#399 := (iff #73 #398) |
himmelma@35172 | 1097 |
#400 := [rewrite]: #399 |
himmelma@35172 | 1098 |
#392 := (iff #72 #393) |
himmelma@35172 | 1099 |
#396 := [rewrite]: #392 |
himmelma@35172 | 1100 |
#408 := [monotonicity #396 #400]: #407 |
himmelma@35172 | 1101 |
#404 := (iff #71 #401) |
himmelma@35172 | 1102 |
#405 := [rewrite]: #404 |
himmelma@35172 | 1103 |
#411 := [monotonicity #405 #408]: #410 |
himmelma@35172 | 1104 |
#416 := [trans #411 #414]: #415 |
himmelma@35172 | 1105 |
#342 := [asserted]: #75 |
himmelma@35172 | 1106 |
#417 := [mp #342 #416]: #412 |
himmelma@35172 | 1107 |
#418 := [and-elim #417]: #393 |
himmelma@35172 | 1108 |
#650 := (+ #26 #394) |
himmelma@35172 | 1109 |
#651 := (<= #650 0::real) |
himmelma@35172 | 1110 |
#649 := (= #26 #53) |
himmelma@35172 | 1111 |
#671 := (= #53 #26) |
himmelma@35172 | 1112 |
#669 := (= #42 #25) |
himmelma@35172 | 1113 |
#667 := (= #25 #42) |
himmelma@35172 | 1114 |
#668 := [monotonicity #661]: #667 |
himmelma@35172 | 1115 |
#670 := [symm #668]: #669 |
himmelma@35172 | 1116 |
#672 := [monotonicity #670]: #671 |
himmelma@35172 | 1117 |
#673 := [symm #672]: #649 |
himmelma@35172 | 1118 |
#674 := (not #649) |
himmelma@35172 | 1119 |
#675 := (or #674 #651) |
himmelma@35172 | 1120 |
#676 := [th-lemma]: #675 |
himmelma@35172 | 1121 |
#677 := [unit-resolution #676 #673]: #651 |
himmelma@35172 | 1122 |
#462 := (+ #56 #459) |
himmelma@35172 | 1123 |
#465 := (>= #462 0::real) |
himmelma@35172 | 1124 |
#438 := (not #465) |
himmelma@35172 | 1125 |
#316 := (ite #290 #278 #43) |
himmelma@35172 | 1126 |
#326 := (* -1::real #316) |
himmelma@35172 | 1127 |
#327 := (+ #56 #326) |
himmelma@35172 | 1128 |
#325 := (>= #327 0::real) |
himmelma@35172 | 1129 |
#324 := (not #325) |
himmelma@35172 | 1130 |
#439 := (iff #324 #438) |
himmelma@35172 | 1131 |
#466 := (iff #325 #465) |
himmelma@35172 | 1132 |
#463 := (= #327 #462) |
himmelma@35172 | 1133 |
#460 := (= #326 #459) |
himmelma@35172 | 1134 |
#457 := (= #316 #278) |
himmelma@35172 | 1135 |
#1 := true |
himmelma@35172 | 1136 |
#452 := (ite true #278 #43) |
himmelma@35172 | 1137 |
#455 := (= #452 #278) |
himmelma@35172 | 1138 |
#456 := [rewrite]: #455 |
himmelma@35172 | 1139 |
#453 := (= #316 #452) |
himmelma@35172 | 1140 |
#444 := (iff #290 true) |
himmelma@35172 | 1141 |
#445 := [iff-true #390]: #444 |
himmelma@35172 | 1142 |
#454 := [monotonicity #445]: #453 |
himmelma@35172 | 1143 |
#458 := [trans #454 #456]: #457 |
himmelma@35172 | 1144 |
#461 := [monotonicity #458]: #460 |
himmelma@35172 | 1145 |
#464 := [monotonicity #461]: #463 |
himmelma@35172 | 1146 |
#467 := [monotonicity #464]: #466 |
himmelma@35172 | 1147 |
#468 := [monotonicity #467]: #439 |
himmelma@35172 | 1148 |
#297 := (ite #290 #54 #53) |
himmelma@35172 | 1149 |
#305 := (* -1::real #297) |
himmelma@35172 | 1150 |
#306 := (+ #56 #305) |
himmelma@35172 | 1151 |
#307 := (<= #306 0::real) |
himmelma@35172 | 1152 |
#308 := (not #307) |
himmelma@35172 | 1153 |
#332 := (and #308 #324) |
himmelma@35172 | 1154 |
#58 := (= uf_10 uf_3) |
himmelma@35172 | 1155 |
#60 := (ite #58 #26 #59) |
himmelma@35172 | 1156 |
#52 := (< #39 #22) |
himmelma@35172 | 1157 |
#61 := (ite #52 #43 #60) |
himmelma@35172 | 1158 |
#62 := (< #56 #61) |
himmelma@35172 | 1159 |
#55 := (ite #52 #53 #54) |
himmelma@35172 | 1160 |
#57 := (< #55 #56) |
himmelma@35172 | 1161 |
#63 := (and #57 #62) |
himmelma@35172 | 1162 |
#335 := (iff #63 #332) |
himmelma@35172 | 1163 |
#281 := (ite #52 #43 #278) |
himmelma@35172 | 1164 |
#284 := (< #56 #281) |
himmelma@35172 | 1165 |
#287 := (and #57 #284) |
himmelma@35172 | 1166 |
#333 := (iff #287 #332) |
himmelma@35172 | 1167 |
#330 := (iff #284 #324) |
himmelma@35172 | 1168 |
#321 := (< #56 #316) |
himmelma@35172 | 1169 |
#328 := (iff #321 #324) |
himmelma@35172 | 1170 |
#329 := [rewrite]: #328 |
himmelma@35172 | 1171 |
#322 := (iff #284 #321) |
himmelma@35172 | 1172 |
#319 := (= #281 #316) |
himmelma@35172 | 1173 |
#291 := (not #290) |
himmelma@35172 | 1174 |
#313 := (ite #291 #43 #278) |
himmelma@35172 | 1175 |
#317 := (= #313 #316) |
himmelma@35172 | 1176 |
#318 := [rewrite]: #317 |
himmelma@35172 | 1177 |
#314 := (= #281 #313) |
himmelma@35172 | 1178 |
#292 := (iff #52 #291) |
himmelma@35172 | 1179 |
#293 := [rewrite]: #292 |
himmelma@35172 | 1180 |
#315 := [monotonicity #293]: #314 |
himmelma@35172 | 1181 |
#320 := [trans #315 #318]: #319 |
himmelma@35172 | 1182 |
#323 := [monotonicity #320]: #322 |
himmelma@35172 | 1183 |
#331 := [trans #323 #329]: #330 |
himmelma@35172 | 1184 |
#311 := (iff #57 #308) |
himmelma@35172 | 1185 |
#302 := (< #297 #56) |
himmelma@35172 | 1186 |
#309 := (iff #302 #308) |
himmelma@35172 | 1187 |
#310 := [rewrite]: #309 |
himmelma@35172 | 1188 |
#303 := (iff #57 #302) |
himmelma@35172 | 1189 |
#300 := (= #55 #297) |
himmelma@35172 | 1190 |
#294 := (ite #291 #53 #54) |
himmelma@35172 | 1191 |
#298 := (= #294 #297) |
himmelma@35172 | 1192 |
#299 := [rewrite]: #298 |
himmelma@35172 | 1193 |
#295 := (= #55 #294) |
himmelma@35172 | 1194 |
#296 := [monotonicity #293]: #295 |
himmelma@35172 | 1195 |
#301 := [trans #296 #299]: #300 |
himmelma@35172 | 1196 |
#304 := [monotonicity #301]: #303 |
himmelma@35172 | 1197 |
#312 := [trans #304 #310]: #311 |
himmelma@35172 | 1198 |
#334 := [monotonicity #312 #331]: #333 |
himmelma@35172 | 1199 |
#288 := (iff #63 #287) |
himmelma@35172 | 1200 |
#285 := (iff #62 #284) |
himmelma@35172 | 1201 |
#282 := (= #61 #281) |
himmelma@35172 | 1202 |
#279 := (= #60 #278) |
himmelma@35172 | 1203 |
#225 := (iff #58 #41) |
himmelma@35172 | 1204 |
#277 := [rewrite]: #225 |
himmelma@35172 | 1205 |
#280 := [monotonicity #277]: #279 |
himmelma@35172 | 1206 |
#283 := [monotonicity #280]: #282 |
himmelma@35172 | 1207 |
#286 := [monotonicity #283]: #285 |
himmelma@35172 | 1208 |
#289 := [monotonicity #286]: #288 |
himmelma@35172 | 1209 |
#336 := [trans #289 #334]: #335 |
himmelma@35172 | 1210 |
#179 := [asserted]: #63 |
himmelma@35172 | 1211 |
#337 := [mp #179 #336]: #332 |
himmelma@35172 | 1212 |
#339 := [and-elim #337]: #324 |
himmelma@35172 | 1213 |
#469 := [mp #339 #468]: #438 |
himmelma@35172 | 1214 |
#678 := [th-lemma #469 #677 #418 #385 #666]: false |
himmelma@35172 | 1215 |
#679 := [lemma #678]: #570 |
himmelma@35172 | 1216 |
#684 := [unit-resolution #679 #683]: false |
himmelma@35172 | 1217 |
#685 := [lemma #684]: #227 |
himmelma@35172 | 1218 |
#577 := (or #228 #567) |
himmelma@35172 | 1219 |
#578 := [def-axiom]: #577 |
himmelma@35172 | 1220 |
#645 := [unit-resolution #578 #685]: #567 |
himmelma@35172 | 1221 |
#686 := (not #567) |
himmelma@35172 | 1222 |
#687 := (or #686 #643) |
himmelma@35172 | 1223 |
#688 := [th-lemma]: #687 |
himmelma@35172 | 1224 |
#689 := [unit-resolution #688 #645]: #643 |
himmelma@35172 | 1225 |
#31 := (uf_4 uf_8 #25) |
himmelma@35172 | 1226 |
#245 := (+ #31 #244) |
himmelma@35172 | 1227 |
#246 := (<= #245 0::real) |
himmelma@35172 | 1228 |
#247 := (not #246) |
himmelma@35172 | 1229 |
#34 := (uf_4 uf_9 #25) |
himmelma@35172 | 1230 |
#48 := (uf_4 uf_11 #25) |
himmelma@35172 | 1231 |
#255 := (ite #228 #48 #34) |
himmelma@35172 | 1232 |
#264 := (* -1::real #255) |
himmelma@35172 | 1233 |
#265 := (+ #31 #264) |
himmelma@35172 | 1234 |
#263 := (>= #265 0::real) |
himmelma@35172 | 1235 |
#266 := (not #263) |
himmelma@35172 | 1236 |
#271 := (and #247 #266) |
himmelma@35172 | 1237 |
#40 := (< #22 #39) |
himmelma@35172 | 1238 |
#49 := (ite #40 #34 #48) |
himmelma@35172 | 1239 |
#50 := (< #31 #49) |
himmelma@35172 | 1240 |
#45 := (ite #40 #26 #44) |
himmelma@35172 | 1241 |
#46 := (< #45 #31) |
himmelma@35172 | 1242 |
#51 := (and #46 #50) |
himmelma@35172 | 1243 |
#272 := (iff #51 #271) |
himmelma@35172 | 1244 |
#269 := (iff #50 #266) |
himmelma@35172 | 1245 |
#260 := (< #31 #255) |
himmelma@35172 | 1246 |
#267 := (iff #260 #266) |
himmelma@35172 | 1247 |
#268 := [rewrite]: #267 |
himmelma@35172 | 1248 |
#261 := (iff #50 #260) |
himmelma@35172 | 1249 |
#258 := (= #49 #255) |
himmelma@35172 | 1250 |
#252 := (ite #227 #34 #48) |
himmelma@35172 | 1251 |
#256 := (= #252 #255) |
himmelma@35172 | 1252 |
#257 := [rewrite]: #256 |
himmelma@35172 | 1253 |
#253 := (= #49 #252) |
himmelma@35172 | 1254 |
#231 := (iff #40 #227) |
himmelma@35172 | 1255 |
#232 := [rewrite]: #231 |
himmelma@35172 | 1256 |
#254 := [monotonicity #232]: #253 |
himmelma@35172 | 1257 |
#259 := [trans #254 #257]: #258 |
himmelma@35172 | 1258 |
#262 := [monotonicity #259]: #261 |
himmelma@35172 | 1259 |
#270 := [trans #262 #268]: #269 |
himmelma@35172 | 1260 |
#250 := (iff #46 #247) |
himmelma@35172 | 1261 |
#241 := (< #236 #31) |
himmelma@35172 | 1262 |
#248 := (iff #241 #247) |
himmelma@35172 | 1263 |
#249 := [rewrite]: #248 |
himmelma@35172 | 1264 |
#242 := (iff #46 #241) |
himmelma@35172 | 1265 |
#239 := (= #45 #236) |
himmelma@35172 | 1266 |
#233 := (ite #227 #26 #44) |
himmelma@35172 | 1267 |
#237 := (= #233 #236) |
himmelma@35172 | 1268 |
#238 := [rewrite]: #237 |
himmelma@35172 | 1269 |
#234 := (= #45 #233) |
himmelma@35172 | 1270 |
#235 := [monotonicity #232]: #234 |
himmelma@35172 | 1271 |
#240 := [trans #235 #238]: #239 |
himmelma@35172 | 1272 |
#243 := [monotonicity #240]: #242 |
himmelma@35172 | 1273 |
#251 := [trans #243 #249]: #250 |
himmelma@35172 | 1274 |
#273 := [monotonicity #251 #270]: #272 |
himmelma@35172 | 1275 |
#178 := [asserted]: #51 |
himmelma@35172 | 1276 |
#274 := [mp #178 #273]: #271 |
himmelma@35172 | 1277 |
#275 := [and-elim #274]: #247 |
himmelma@35172 | 1278 |
#196 := (* -1::real #31) |
himmelma@35172 | 1279 |
#212 := (+ #26 #196) |
himmelma@35172 | 1280 |
#213 := (<= #212 0::real) |
himmelma@35172 | 1281 |
#214 := (not #213) |
himmelma@35172 | 1282 |
#197 := (+ #28 #196) |
himmelma@35172 | 1283 |
#195 := (>= #197 0::real) |
himmelma@35172 | 1284 |
#193 := (not #195) |
himmelma@35172 | 1285 |
#219 := (and #193 #214) |
himmelma@35172 | 1286 |
#23 := (< #22 #22) |
himmelma@35172 | 1287 |
#35 := (ite #23 #34 #26) |
himmelma@35172 | 1288 |
#36 := (< #31 #35) |
himmelma@35172 | 1289 |
#29 := (ite #23 #26 #28) |
himmelma@35172 | 1290 |
#32 := (< #29 #31) |
himmelma@35172 | 1291 |
#37 := (and #32 #36) |
himmelma@35172 | 1292 |
#220 := (iff #37 #219) |
himmelma@35172 | 1293 |
#217 := (iff #36 #214) |
himmelma@35172 | 1294 |
#209 := (< #31 #26) |
himmelma@35172 | 1295 |
#215 := (iff #209 #214) |
himmelma@35172 | 1296 |
#216 := [rewrite]: #215 |
himmelma@35172 | 1297 |
#210 := (iff #36 #209) |
himmelma@35172 | 1298 |
#207 := (= #35 #26) |
himmelma@35172 | 1299 |
#202 := (ite false #34 #26) |
himmelma@35172 | 1300 |
#205 := (= #202 #26) |
himmelma@35172 | 1301 |
#206 := [rewrite]: #205 |
himmelma@35172 | 1302 |
#203 := (= #35 #202) |
himmelma@35172 | 1303 |
#180 := (iff #23 false) |
himmelma@35172 | 1304 |
#181 := [rewrite]: #180 |
himmelma@35172 | 1305 |
#204 := [monotonicity #181]: #203 |
himmelma@35172 | 1306 |
#208 := [trans #204 #206]: #207 |
himmelma@35172 | 1307 |
#211 := [monotonicity #208]: #210 |
himmelma@35172 | 1308 |
#218 := [trans #211 #216]: #217 |
himmelma@35172 | 1309 |
#200 := (iff #32 #193) |
himmelma@35172 | 1310 |
#189 := (< #28 #31) |
himmelma@35172 | 1311 |
#198 := (iff #189 #193) |
himmelma@35172 | 1312 |
#199 := [rewrite]: #198 |
himmelma@35172 | 1313 |
#190 := (iff #32 #189) |
himmelma@35172 | 1314 |
#187 := (= #29 #28) |
himmelma@35172 | 1315 |
#182 := (ite false #26 #28) |
himmelma@35172 | 1316 |
#185 := (= #182 #28) |
himmelma@35172 | 1317 |
#186 := [rewrite]: #185 |
himmelma@35172 | 1318 |
#183 := (= #29 #182) |
himmelma@35172 | 1319 |
#184 := [monotonicity #181]: #183 |
himmelma@35172 | 1320 |
#188 := [trans #184 #186]: #187 |
himmelma@35172 | 1321 |
#191 := [monotonicity #188]: #190 |
himmelma@35172 | 1322 |
#201 := [trans #191 #199]: #200 |
himmelma@35172 | 1323 |
#221 := [monotonicity #201 #218]: #220 |
himmelma@35172 | 1324 |
#177 := [asserted]: #37 |
himmelma@35172 | 1325 |
#222 := [mp #177 #221]: #219 |
himmelma@35172 | 1326 |
#224 := [and-elim #222]: #214 |
himmelma@35172 | 1327 |
[th-lemma #224 #275 #689]: false |
himmelma@35172 | 1328 |
unsat |
himmelma@35172 | 1329 |
NX/HT1QOfbspC2LtZNKpBA 428 0 |
himmelma@35172 | 1330 |
#2 := false |
himmelma@35172 | 1331 |
decl uf_10 :: T1 |
himmelma@35172 | 1332 |
#38 := uf_10 |
himmelma@35172 | 1333 |
decl uf_3 :: T1 |
himmelma@35172 | 1334 |
#21 := uf_3 |
himmelma@35172 | 1335 |
#45 := (= uf_3 uf_10) |
himmelma@35172 | 1336 |
decl uf_1 :: (-> int T1) |
himmelma@35172 | 1337 |
decl uf_2 :: (-> T1 int) |
himmelma@35172 | 1338 |
#39 := (uf_2 uf_10) |
himmelma@35172 | 1339 |
#588 := (uf_1 #39) |
himmelma@35172 | 1340 |
#686 := (= #588 uf_10) |
himmelma@35172 | 1341 |
#589 := (= uf_10 #588) |
himmelma@35172 | 1342 |
#4 := (:var 0 T1) |
himmelma@35172 | 1343 |
#5 := (uf_2 #4) |
himmelma@35172 | 1344 |
#541 := (pattern #5) |
himmelma@35172 | 1345 |
#6 := (uf_1 #5) |
himmelma@35172 | 1346 |
#93 := (= #4 #6) |
himmelma@35172 | 1347 |
#542 := (forall (vars (?x1 T1)) (:pat #541) #93) |
himmelma@35172 | 1348 |
#96 := (forall (vars (?x1 T1)) #93) |
himmelma@35172 | 1349 |
#545 := (iff #96 #542) |
himmelma@35172 | 1350 |
#543 := (iff #93 #93) |
himmelma@35172 | 1351 |
#544 := [refl]: #543 |
himmelma@35172 | 1352 |
#546 := [quant-intro #544]: #545 |
himmelma@35172 | 1353 |
#454 := (~ #96 #96) |
himmelma@35172 | 1354 |
#456 := (~ #93 #93) |
himmelma@35172 | 1355 |
#457 := [refl]: #456 |
himmelma@35172 | 1356 |
#455 := [nnf-pos #457]: #454 |
himmelma@35172 | 1357 |
#7 := (= #6 #4) |
himmelma@35172 | 1358 |
#8 := (forall (vars (?x1 T1)) #7) |
himmelma@35172 | 1359 |
#97 := (iff #8 #96) |
himmelma@35172 | 1360 |
#94 := (iff #7 #93) |
himmelma@35172 | 1361 |
#95 := [rewrite]: #94 |
himmelma@35172 | 1362 |
#98 := [quant-intro #95]: #97 |
himmelma@35172 | 1363 |
#92 := [asserted]: #8 |
himmelma@35172 | 1364 |
#101 := [mp #92 #98]: #96 |
himmelma@35172 | 1365 |
#452 := [mp~ #101 #455]: #96 |
himmelma@35172 | 1366 |
#547 := [mp #452 #546]: #542 |
himmelma@35172 | 1367 |
#590 := (not #542) |
himmelma@35172 | 1368 |
#595 := (or #590 #589) |
himmelma@35172 | 1369 |
#596 := [quant-inst]: #595 |
himmelma@35172 | 1370 |
#680 := [unit-resolution #596 #547]: #589 |
himmelma@35172 | 1371 |
#687 := [symm #680]: #686 |
himmelma@35172 | 1372 |
#688 := (= uf_3 #588) |
himmelma@35172 | 1373 |
#22 := (uf_2 uf_3) |
himmelma@35172 | 1374 |
#586 := (uf_1 #22) |
himmelma@35172 | 1375 |
#684 := (= #586 #588) |
himmelma@35172 | 1376 |
#682 := (= #588 #586) |
himmelma@35172 | 1377 |
#678 := (= #39 #22) |
himmelma@35172 | 1378 |
#676 := (= #22 #39) |
himmelma@35172 | 1379 |
#9 := 0::int |
himmelma@35172 | 1380 |
#227 := -1::int |
himmelma@35172 | 1381 |
#230 := (* -1::int #39) |
himmelma@35172 | 1382 |
#231 := (+ #22 #230) |
himmelma@35172 | 1383 |
#296 := (<= #231 0::int) |
himmelma@35172 | 1384 |
#70 := (<= #22 #39) |
himmelma@35172 | 1385 |
#393 := (iff #70 #296) |
himmelma@35172 | 1386 |
#394 := [rewrite]: #393 |
himmelma@35172 | 1387 |
#347 := [asserted]: #70 |
himmelma@35172 | 1388 |
#395 := [mp #347 #394]: #296 |
himmelma@35172 | 1389 |
#229 := (>= #231 0::int) |
himmelma@35172 | 1390 |
decl uf_4 :: (-> T2 T3 real) |
himmelma@35172 | 1391 |
decl uf_6 :: (-> T1 T3) |
himmelma@35172 | 1392 |
#25 := (uf_6 uf_3) |
himmelma@35172 | 1393 |
decl uf_7 :: T2 |
himmelma@35172 | 1394 |
#27 := uf_7 |
himmelma@35172 | 1395 |
#28 := (uf_4 uf_7 #25) |
himmelma@35172 | 1396 |
decl uf_9 :: T2 |
himmelma@35172 | 1397 |
#33 := uf_9 |
himmelma@35172 | 1398 |
#34 := (uf_4 uf_9 #25) |
himmelma@35172 | 1399 |
#46 := (uf_6 uf_10) |
himmelma@35172 | 1400 |
decl uf_5 :: T2 |
himmelma@35172 | 1401 |
#24 := uf_5 |
himmelma@35172 | 1402 |
#47 := (uf_4 uf_5 #46) |
himmelma@35172 | 1403 |
#48 := (ite #45 #47 #34) |
himmelma@35172 | 1404 |
#256 := (ite #229 #48 #28) |
himmelma@35172 | 1405 |
#568 := (= #28 #256) |
himmelma@35172 | 1406 |
#648 := (not #568) |
himmelma@35172 | 1407 |
#194 := 0::real |
himmelma@35172 | 1408 |
#192 := -1::real |
himmelma@35172 | 1409 |
#265 := (* -1::real #256) |
himmelma@35172 | 1410 |
#640 := (+ #28 #265) |
himmelma@35172 | 1411 |
#642 := (>= #640 0::real) |
himmelma@35172 | 1412 |
#645 := (not #642) |
himmelma@35172 | 1413 |
#643 := [hypothesis]: #642 |
himmelma@35172 | 1414 |
decl uf_8 :: T2 |
himmelma@35172 | 1415 |
#30 := uf_8 |
himmelma@35172 | 1416 |
#31 := (uf_4 uf_8 #25) |
himmelma@35172 | 1417 |
#266 := (+ #31 #265) |
himmelma@35172 | 1418 |
#264 := (>= #266 0::real) |
himmelma@35172 | 1419 |
#267 := (not #264) |
himmelma@35172 | 1420 |
#26 := (uf_4 uf_5 #25) |
himmelma@35172 | 1421 |
decl uf_11 :: T2 |
himmelma@35172 | 1422 |
#41 := uf_11 |
himmelma@35172 | 1423 |
#42 := (uf_4 uf_11 #25) |
himmelma@35172 | 1424 |
#237 := (ite #229 #42 #26) |
himmelma@35172 | 1425 |
#245 := (* -1::real #237) |
himmelma@35172 | 1426 |
#246 := (+ #31 #245) |
himmelma@35172 | 1427 |
#247 := (<= #246 0::real) |
himmelma@35172 | 1428 |
#248 := (not #247) |
himmelma@35172 | 1429 |
#272 := (and #248 #267) |
himmelma@35172 | 1430 |
#40 := (< #22 #39) |
himmelma@35172 | 1431 |
#49 := (ite #40 #28 #48) |
himmelma@35172 | 1432 |
#50 := (< #31 #49) |
himmelma@35172 | 1433 |
#43 := (ite #40 #26 #42) |
himmelma@35172 | 1434 |
#44 := (< #43 #31) |
himmelma@35172 | 1435 |
#51 := (and #44 #50) |
himmelma@35172 | 1436 |
#273 := (iff #51 #272) |
himmelma@35172 | 1437 |
#270 := (iff #50 #267) |
himmelma@35172 | 1438 |
#261 := (< #31 #256) |
himmelma@35172 | 1439 |
#268 := (iff #261 #267) |
himmelma@35172 | 1440 |
#269 := [rewrite]: #268 |
himmelma@35172 | 1441 |
#262 := (iff #50 #261) |
himmelma@35172 | 1442 |
#259 := (= #49 #256) |
himmelma@35172 | 1443 |
#228 := (not #229) |
himmelma@35172 | 1444 |
#253 := (ite #228 #28 #48) |
himmelma@35172 | 1445 |
#257 := (= #253 #256) |
himmelma@35172 | 1446 |
#258 := [rewrite]: #257 |
himmelma@35172 | 1447 |
#254 := (= #49 #253) |
himmelma@35172 | 1448 |
#232 := (iff #40 #228) |
himmelma@35172 | 1449 |
#233 := [rewrite]: #232 |
himmelma@35172 | 1450 |
#255 := [monotonicity #233]: #254 |
himmelma@35172 | 1451 |
#260 := [trans #255 #258]: #259 |
himmelma@35172 | 1452 |
#263 := [monotonicity #260]: #262 |
himmelma@35172 | 1453 |
#271 := [trans #263 #269]: #270 |
himmelma@35172 | 1454 |
#251 := (iff #44 #248) |
himmelma@35172 | 1455 |
#242 := (< #237 #31) |
himmelma@35172 | 1456 |
#249 := (iff #242 #248) |
himmelma@35172 | 1457 |
#250 := [rewrite]: #249 |
himmelma@35172 | 1458 |
#243 := (iff #44 #242) |
himmelma@35172 | 1459 |
#240 := (= #43 #237) |
himmelma@35172 | 1460 |
#234 := (ite #228 #26 #42) |
himmelma@35172 | 1461 |
#238 := (= #234 #237) |
himmelma@35172 | 1462 |
#239 := [rewrite]: #238 |
himmelma@35172 | 1463 |
#235 := (= #43 #234) |
himmelma@35172 | 1464 |
#236 := [monotonicity #233]: #235 |
himmelma@35172 | 1465 |
#241 := [trans #236 #239]: #240 |
himmelma@35172 | 1466 |
#244 := [monotonicity #241]: #243 |
himmelma@35172 | 1467 |
#252 := [trans #244 #250]: #251 |
himmelma@35172 | 1468 |
#274 := [monotonicity #252 #271]: #273 |
himmelma@35172 | 1469 |
#178 := [asserted]: #51 |
himmelma@35172 | 1470 |
#275 := [mp #178 #274]: #272 |
himmelma@35172 | 1471 |
#277 := [and-elim #275]: #267 |
himmelma@35172 | 1472 |
#196 := (* -1::real #31) |
himmelma@35172 | 1473 |
#197 := (+ #28 #196) |
himmelma@35172 | 1474 |
#195 := (>= #197 0::real) |
himmelma@35172 | 1475 |
#193 := (not #195) |
himmelma@35172 | 1476 |
#213 := (* -1::real #34) |
himmelma@35172 | 1477 |
#214 := (+ #31 #213) |
himmelma@35172 | 1478 |
#212 := (>= #214 0::real) |
himmelma@35172 | 1479 |
#215 := (not #212) |
himmelma@35172 | 1480 |
#220 := (and #193 #215) |
himmelma@35172 | 1481 |
#23 := (< #22 #22) |
himmelma@35172 | 1482 |
#35 := (ite #23 #28 #34) |
himmelma@35172 | 1483 |
#36 := (< #31 #35) |
himmelma@35172 | 1484 |
#29 := (ite #23 #26 #28) |
himmelma@35172 | 1485 |
#32 := (< #29 #31) |
himmelma@35172 | 1486 |
#37 := (and #32 #36) |
himmelma@35172 | 1487 |
#221 := (iff #37 #220) |
himmelma@35172 | 1488 |
#218 := (iff #36 #215) |
himmelma@35172 | 1489 |
#209 := (< #31 #34) |
himmelma@35172 | 1490 |
#216 := (iff #209 #215) |
himmelma@35172 | 1491 |
#217 := [rewrite]: #216 |
himmelma@35172 | 1492 |
#210 := (iff #36 #209) |
himmelma@35172 | 1493 |
#207 := (= #35 #34) |
himmelma@35172 | 1494 |
#202 := (ite false #28 #34) |
himmelma@35172 | 1495 |
#205 := (= #202 #34) |
himmelma@35172 | 1496 |
#206 := [rewrite]: #205 |
himmelma@35172 | 1497 |
#203 := (= #35 #202) |
himmelma@35172 | 1498 |
#180 := (iff #23 false) |
himmelma@35172 | 1499 |
#181 := [rewrite]: #180 |
himmelma@35172 | 1500 |
#204 := [monotonicity #181]: #203 |
himmelma@35172 | 1501 |
#208 := [trans #204 #206]: #207 |
himmelma@35172 | 1502 |
#211 := [monotonicity #208]: #210 |
himmelma@35172 | 1503 |
#219 := [trans #211 #217]: #218 |
himmelma@35172 | 1504 |
#200 := (iff #32 #193) |
himmelma@35172 | 1505 |
#189 := (< #28 #31) |
himmelma@35172 | 1506 |
#198 := (iff #189 #193) |
himmelma@35172 | 1507 |
#199 := [rewrite]: #198 |
himmelma@35172 | 1508 |
#190 := (iff #32 #189) |
himmelma@35172 | 1509 |
#187 := (= #29 #28) |
himmelma@35172 | 1510 |
#182 := (ite false #26 #28) |
himmelma@35172 | 1511 |
#185 := (= #182 #28) |
himmelma@35172 | 1512 |
#186 := [rewrite]: #185 |
himmelma@35172 | 1513 |
#183 := (= #29 #182) |
himmelma@35172 | 1514 |
#184 := [monotonicity #181]: #183 |
himmelma@35172 | 1515 |
#188 := [trans #184 #186]: #187 |
himmelma@35172 | 1516 |
#191 := [monotonicity #188]: #190 |
himmelma@35172 | 1517 |
#201 := [trans #191 #199]: #200 |
himmelma@35172 | 1518 |
#222 := [monotonicity #201 #219]: #221 |
himmelma@35172 | 1519 |
#177 := [asserted]: #37 |
himmelma@35172 | 1520 |
#223 := [mp #177 #222]: #220 |
himmelma@35172 | 1521 |
#224 := [and-elim #223]: #193 |
himmelma@35172 | 1522 |
#644 := [th-lemma #224 #277 #643]: false |
himmelma@35172 | 1523 |
#646 := [lemma #644]: #645 |
himmelma@35172 | 1524 |
#647 := [hypothesis]: #568 |
himmelma@35172 | 1525 |
#649 := (or #648 #642) |
himmelma@35172 | 1526 |
#650 := [th-lemma]: #649 |
himmelma@35172 | 1527 |
#651 := [unit-resolution #650 #647 #646]: false |
himmelma@35172 | 1528 |
#652 := [lemma #651]: #648 |
himmelma@35172 | 1529 |
#578 := (or #229 #568) |
himmelma@35172 | 1530 |
#579 := [def-axiom]: #578 |
himmelma@35172 | 1531 |
#675 := [unit-resolution #579 #652]: #229 |
himmelma@35172 | 1532 |
#677 := [th-lemma #675 #395]: #676 |
himmelma@35172 | 1533 |
#679 := [symm #677]: #678 |
himmelma@35172 | 1534 |
#683 := [monotonicity #679]: #682 |
himmelma@35172 | 1535 |
#685 := [symm #683]: #684 |
himmelma@35172 | 1536 |
#587 := (= uf_3 #586) |
himmelma@35172 | 1537 |
#591 := (or #590 #587) |
himmelma@35172 | 1538 |
#592 := [quant-inst]: #591 |
himmelma@35172 | 1539 |
#681 := [unit-resolution #592 #547]: #587 |
himmelma@35172 | 1540 |
#689 := [trans #681 #685]: #688 |
himmelma@35172 | 1541 |
#690 := [trans #689 #687]: #45 |
himmelma@35172 | 1542 |
#571 := (not #45) |
himmelma@35172 | 1543 |
#54 := (uf_4 uf_11 #46) |
himmelma@35172 | 1544 |
#279 := (ite #45 #28 #54) |
himmelma@35172 | 1545 |
#465 := (* -1::real #279) |
himmelma@35172 | 1546 |
#632 := (+ #28 #465) |
himmelma@35172 | 1547 |
#633 := (<= #632 0::real) |
himmelma@35172 | 1548 |
#580 := (= #28 #279) |
himmelma@35172 | 1549 |
#656 := [hypothesis]: #45 |
himmelma@35172 | 1550 |
#582 := (or #571 #580) |
himmelma@35172 | 1551 |
#583 := [def-axiom]: #582 |
himmelma@35172 | 1552 |
#657 := [unit-resolution #583 #656]: #580 |
himmelma@35172 | 1553 |
#658 := (not #580) |
himmelma@35172 | 1554 |
#659 := (or #658 #633) |
himmelma@35172 | 1555 |
#660 := [th-lemma]: #659 |
himmelma@35172 | 1556 |
#661 := [unit-resolution #660 #657]: #633 |
himmelma@35172 | 1557 |
#57 := (uf_4 uf_8 #46) |
himmelma@35172 | 1558 |
#363 := (* -1::real #57) |
himmelma@35172 | 1559 |
#379 := (+ #47 #363) |
himmelma@35172 | 1560 |
#380 := (<= #379 0::real) |
himmelma@35172 | 1561 |
#381 := (not #380) |
himmelma@35172 | 1562 |
#364 := (+ #54 #363) |
himmelma@35172 | 1563 |
#362 := (>= #364 0::real) |
himmelma@35172 | 1564 |
#361 := (not #362) |
himmelma@35172 | 1565 |
#386 := (and #361 #381) |
himmelma@35172 | 1566 |
#59 := (uf_4 uf_7 #46) |
himmelma@35172 | 1567 |
#64 := (< #39 #39) |
himmelma@35172 | 1568 |
#67 := (ite #64 #59 #47) |
himmelma@35172 | 1569 |
#68 := (< #57 #67) |
himmelma@35172 | 1570 |
#65 := (ite #64 #47 #54) |
himmelma@35172 | 1571 |
#66 := (< #65 #57) |
himmelma@35172 | 1572 |
#69 := (and #66 #68) |
himmelma@35172 | 1573 |
#387 := (iff #69 #386) |
himmelma@35172 | 1574 |
#384 := (iff #68 #381) |
himmelma@35172 | 1575 |
#376 := (< #57 #47) |
himmelma@35172 | 1576 |
#382 := (iff #376 #381) |
himmelma@35172 | 1577 |
#383 := [rewrite]: #382 |
himmelma@35172 | 1578 |
#377 := (iff #68 #376) |
himmelma@35172 | 1579 |
#374 := (= #67 #47) |
himmelma@35172 | 1580 |
#369 := (ite false #59 #47) |
himmelma@35172 | 1581 |
#372 := (= #369 #47) |
himmelma@35172 | 1582 |
#373 := [rewrite]: #372 |
himmelma@35172 | 1583 |
#370 := (= #67 #369) |
himmelma@35172 | 1584 |
#349 := (iff #64 false) |
himmelma@35172 | 1585 |
#350 := [rewrite]: #349 |
himmelma@35172 | 1586 |
#371 := [monotonicity #350]: #370 |
himmelma@35172 | 1587 |
#375 := [trans #371 #373]: #374 |
himmelma@35172 | 1588 |
#378 := [monotonicity #375]: #377 |
himmelma@35172 | 1589 |
#385 := [trans #378 #383]: #384 |
himmelma@35172 | 1590 |
#367 := (iff #66 #361) |
himmelma@35172 | 1591 |
#358 := (< #54 #57) |
himmelma@35172 | 1592 |
#365 := (iff #358 #361) |
himmelma@35172 | 1593 |
#366 := [rewrite]: #365 |
himmelma@35172 | 1594 |
#359 := (iff #66 #358) |
himmelma@35172 | 1595 |
#356 := (= #65 #54) |
himmelma@35172 | 1596 |
#351 := (ite false #47 #54) |
himmelma@35172 | 1597 |
#354 := (= #351 #54) |
himmelma@35172 | 1598 |
#355 := [rewrite]: #354 |
himmelma@35172 | 1599 |
#352 := (= #65 #351) |
himmelma@35172 | 1600 |
#353 := [monotonicity #350]: #352 |
himmelma@35172 | 1601 |
#357 := [trans #353 #355]: #356 |
himmelma@35172 | 1602 |
#360 := [monotonicity #357]: #359 |
himmelma@35172 | 1603 |
#368 := [trans #360 #366]: #367 |
himmelma@35172 | 1604 |
#388 := [monotonicity #368 #385]: #387 |
himmelma@35172 | 1605 |
#346 := [asserted]: #69 |
himmelma@35172 | 1606 |
#389 := [mp #346 #388]: #386 |
himmelma@35172 | 1607 |
#391 := [and-elim #389]: #381 |
himmelma@35172 | 1608 |
#397 := (* -1::real #59) |
himmelma@35172 | 1609 |
#398 := (+ #47 #397) |
himmelma@35172 | 1610 |
#399 := (<= #398 0::real) |
himmelma@35172 | 1611 |
#409 := (* -1::real #54) |
himmelma@35172 | 1612 |
#410 := (+ #47 #409) |
himmelma@35172 | 1613 |
#408 := (>= #410 0::real) |
himmelma@35172 | 1614 |
#60 := (uf_4 uf_9 #46) |
himmelma@35172 | 1615 |
#402 := (* -1::real #60) |
himmelma@35172 | 1616 |
#403 := (+ #59 #402) |
himmelma@35172 | 1617 |
#404 := (<= #403 0::real) |
himmelma@35172 | 1618 |
#418 := (and #399 #404 #408) |
himmelma@35172 | 1619 |
#73 := (<= #59 #60) |
himmelma@35172 | 1620 |
#72 := (<= #47 #59) |
himmelma@35172 | 1621 |
#74 := (and #72 #73) |
himmelma@35172 | 1622 |
#71 := (<= #54 #47) |
himmelma@35172 | 1623 |
#75 := (and #71 #74) |
himmelma@35172 | 1624 |
#421 := (iff #75 #418) |
himmelma@35172 | 1625 |
#412 := (and #399 #404) |
himmelma@35172 | 1626 |
#415 := (and #408 #412) |
himmelma@35172 | 1627 |
#419 := (iff #415 #418) |
himmelma@35172 | 1628 |
#420 := [rewrite]: #419 |
himmelma@35172 | 1629 |
#416 := (iff #75 #415) |
himmelma@35172 | 1630 |
#413 := (iff #74 #412) |
himmelma@35172 | 1631 |
#405 := (iff #73 #404) |
himmelma@35172 | 1632 |
#406 := [rewrite]: #405 |
himmelma@35172 | 1633 |
#400 := (iff #72 #399) |
himmelma@35172 | 1634 |
#401 := [rewrite]: #400 |
himmelma@35172 | 1635 |
#414 := [monotonicity #401 #406]: #413 |
himmelma@35172 | 1636 |
#407 := (iff #71 #408) |
himmelma@35172 | 1637 |
#411 := [rewrite]: #407 |
himmelma@35172 | 1638 |
#417 := [monotonicity #411 #414]: #416 |
himmelma@35172 | 1639 |
#422 := [trans #417 #420]: #421 |
himmelma@35172 | 1640 |
#348 := [asserted]: #75 |
himmelma@35172 | 1641 |
#423 := [mp #348 #422]: #418 |
himmelma@35172 | 1642 |
#424 := [and-elim #423]: #399 |
himmelma@35172 | 1643 |
#637 := (+ #28 #397) |
himmelma@35172 | 1644 |
#639 := (>= #637 0::real) |
himmelma@35172 | 1645 |
#636 := (= #28 #59) |
himmelma@35172 | 1646 |
#666 := (= #59 #28) |
himmelma@35172 | 1647 |
#664 := (= #46 #25) |
himmelma@35172 | 1648 |
#662 := (= #25 #46) |
himmelma@35172 | 1649 |
#663 := [monotonicity #656]: #662 |
himmelma@35172 | 1650 |
#665 := [symm #663]: #664 |
himmelma@35172 | 1651 |
#667 := [monotonicity #665]: #666 |
himmelma@35172 | 1652 |
#668 := [symm #667]: #636 |
himmelma@35172 | 1653 |
#669 := (not #636) |
himmelma@35172 | 1654 |
#670 := (or #669 #639) |
himmelma@35172 | 1655 |
#671 := [th-lemma]: #670 |
himmelma@35172 | 1656 |
#672 := [unit-resolution #671 #668]: #639 |
himmelma@35172 | 1657 |
#468 := (+ #57 #465) |
himmelma@35172 | 1658 |
#471 := (<= #468 0::real) |
himmelma@35172 | 1659 |
#444 := (not #471) |
himmelma@35172 | 1660 |
#322 := (ite #296 #279 #47) |
himmelma@35172 | 1661 |
#330 := (* -1::real #322) |
himmelma@35172 | 1662 |
#331 := (+ #57 #330) |
himmelma@35172 | 1663 |
#332 := (<= #331 0::real) |
himmelma@35172 | 1664 |
#333 := (not #332) |
himmelma@35172 | 1665 |
#445 := (iff #333 #444) |
himmelma@35172 | 1666 |
#472 := (iff #332 #471) |
himmelma@35172 | 1667 |
#469 := (= #331 #468) |
himmelma@35172 | 1668 |
#466 := (= #330 #465) |
himmelma@35172 | 1669 |
#463 := (= #322 #279) |
himmelma@35172 | 1670 |
#1 := true |
himmelma@35172 | 1671 |
#458 := (ite true #279 #47) |
himmelma@35172 | 1672 |
#461 := (= #458 #279) |
himmelma@35172 | 1673 |
#462 := [rewrite]: #461 |
himmelma@35172 | 1674 |
#459 := (= #322 #458) |
himmelma@35172 | 1675 |
#450 := (iff #296 true) |
himmelma@35172 | 1676 |
#451 := [iff-true #395]: #450 |
himmelma@35172 | 1677 |
#460 := [monotonicity #451]: #459 |
himmelma@35172 | 1678 |
#464 := [trans #460 #462]: #463 |
himmelma@35172 | 1679 |
#467 := [monotonicity #464]: #466 |
himmelma@35172 | 1680 |
#470 := [monotonicity #467]: #469 |
himmelma@35172 | 1681 |
#473 := [monotonicity #470]: #472 |
himmelma@35172 | 1682 |
#474 := [monotonicity #473]: #445 |
himmelma@35172 | 1683 |
#303 := (ite #296 #60 #59) |
himmelma@35172 | 1684 |
#313 := (* -1::real #303) |
himmelma@35172 | 1685 |
#314 := (+ #57 #313) |
himmelma@35172 | 1686 |
#312 := (>= #314 0::real) |
himmelma@35172 | 1687 |
#311 := (not #312) |
himmelma@35172 | 1688 |
#338 := (and #311 #333) |
himmelma@35172 | 1689 |
#52 := (< #39 #22) |
himmelma@35172 | 1690 |
#61 := (ite #52 #59 #60) |
himmelma@35172 | 1691 |
#62 := (< #57 #61) |
himmelma@35172 | 1692 |
#53 := (= uf_10 uf_3) |
himmelma@35172 | 1693 |
#55 := (ite #53 #28 #54) |
himmelma@35172 | 1694 |
#56 := (ite #52 #47 #55) |
himmelma@35172 | 1695 |
#58 := (< #56 #57) |
himmelma@35172 | 1696 |
#63 := (and #58 #62) |
himmelma@35172 | 1697 |
#341 := (iff #63 #338) |
himmelma@35172 | 1698 |
#282 := (ite #52 #47 #279) |
himmelma@35172 | 1699 |
#285 := (< #282 #57) |
himmelma@35172 | 1700 |
#291 := (and #62 #285) |
himmelma@35172 | 1701 |
#339 := (iff #291 #338) |
himmelma@35172 | 1702 |
#336 := (iff #285 #333) |
himmelma@35172 | 1703 |
#327 := (< #322 #57) |
himmelma@35172 | 1704 |
#334 := (iff #327 #333) |
himmelma@35172 | 1705 |
#335 := [rewrite]: #334 |
himmelma@35172 | 1706 |
#328 := (iff #285 #327) |
himmelma@35172 | 1707 |
#325 := (= #282 #322) |
himmelma@35172 | 1708 |
#297 := (not #296) |
himmelma@35172 | 1709 |
#319 := (ite #297 #47 #279) |
himmelma@35172 | 1710 |
#323 := (= #319 #322) |
himmelma@35172 | 1711 |
#324 := [rewrite]: #323 |
himmelma@35172 | 1712 |
#320 := (= #282 #319) |
himmelma@35172 | 1713 |
#298 := (iff #52 #297) |
himmelma@35172 | 1714 |
#299 := [rewrite]: #298 |
himmelma@35172 | 1715 |
#321 := [monotonicity #299]: #320 |
himmelma@35172 | 1716 |
#326 := [trans #321 #324]: #325 |
himmelma@35172 | 1717 |
#329 := [monotonicity #326]: #328 |
himmelma@35172 | 1718 |
#337 := [trans #329 #335]: #336 |
himmelma@35172 | 1719 |
#317 := (iff #62 #311) |
himmelma@35172 | 1720 |
#308 := (< #57 #303) |
himmelma@35172 | 1721 |
#315 := (iff #308 #311) |
himmelma@35172 | 1722 |
#316 := [rewrite]: #315 |
himmelma@35172 | 1723 |
#309 := (iff #62 #308) |
himmelma@35172 | 1724 |
#306 := (= #61 #303) |
himmelma@35172 | 1725 |
#300 := (ite #297 #59 #60) |
himmelma@35172 | 1726 |
#304 := (= #300 #303) |
himmelma@35172 | 1727 |
#305 := [rewrite]: #304 |
himmelma@35172 | 1728 |
#301 := (= #61 #300) |
himmelma@35172 | 1729 |
#302 := [monotonicity #299]: #301 |
himmelma@35172 | 1730 |
#307 := [trans #302 #305]: #306 |
himmelma@35172 | 1731 |
#310 := [monotonicity #307]: #309 |
himmelma@35172 | 1732 |
#318 := [trans #310 #316]: #317 |
himmelma@35172 | 1733 |
#340 := [monotonicity #318 #337]: #339 |
himmelma@35172 | 1734 |
#294 := (iff #63 #291) |
himmelma@35172 | 1735 |
#288 := (and #285 #62) |
himmelma@35172 | 1736 |
#292 := (iff #288 #291) |
himmelma@35172 | 1737 |
#293 := [rewrite]: #292 |
himmelma@35172 | 1738 |
#289 := (iff #63 #288) |
himmelma@35172 | 1739 |
#286 := (iff #58 #285) |
himmelma@35172 | 1740 |
#283 := (= #56 #282) |
himmelma@35172 | 1741 |
#280 := (= #55 #279) |
himmelma@35172 | 1742 |
#226 := (iff #53 #45) |
himmelma@35172 | 1743 |
#278 := [rewrite]: #226 |
himmelma@35172 | 1744 |
#281 := [monotonicity #278]: #280 |
himmelma@35172 | 1745 |
#284 := [monotonicity #281]: #283 |
himmelma@35172 | 1746 |
#287 := [monotonicity #284]: #286 |
himmelma@35172 | 1747 |
#290 := [monotonicity #287]: #289 |
himmelma@35172 | 1748 |
#295 := [trans #290 #293]: #294 |
himmelma@35172 | 1749 |
#342 := [trans #295 #340]: #341 |
himmelma@35172 | 1750 |
#179 := [asserted]: #63 |
himmelma@35172 | 1751 |
#343 := [mp #179 #342]: #338 |
himmelma@35172 | 1752 |
#345 := [and-elim #343]: #333 |
himmelma@35172 | 1753 |
#475 := [mp #345 #474]: #444 |
himmelma@35172 | 1754 |
#673 := [th-lemma #475 #672 #424 #391 #661]: false |
himmelma@35172 | 1755 |
#674 := [lemma #673]: #571 |
himmelma@35172 | 1756 |
[unit-resolution #674 #690]: false |
himmelma@35172 | 1757 |
unsat |
himmelma@35172 | 1758 |
IL2powemHjRpCJYwmXFxyw 211 0 |
himmelma@35172 | 1759 |
#2 := false |
himmelma@35172 | 1760 |
#33 := 0::real |
himmelma@35172 | 1761 |
decl uf_11 :: (-> T5 T6 real) |
himmelma@35172 | 1762 |
decl uf_15 :: T6 |
himmelma@35172 | 1763 |
#28 := uf_15 |
himmelma@35172 | 1764 |
decl uf_16 :: T5 |
himmelma@35172 | 1765 |
#30 := uf_16 |
himmelma@35172 | 1766 |
#31 := (uf_11 uf_16 uf_15) |
himmelma@35172 | 1767 |
decl uf_12 :: (-> T7 T8 T5) |
himmelma@35172 | 1768 |
decl uf_14 :: T8 |
himmelma@35172 | 1769 |
#26 := uf_14 |
himmelma@35172 | 1770 |
decl uf_13 :: (-> T1 T7) |
himmelma@35172 | 1771 |
decl uf_8 :: T1 |
himmelma@35172 | 1772 |
#16 := uf_8 |
himmelma@35172 | 1773 |
#25 := (uf_13 uf_8) |
himmelma@35172 | 1774 |
#27 := (uf_12 #25 uf_14) |
himmelma@35172 | 1775 |
#29 := (uf_11 #27 uf_15) |
himmelma@35172 | 1776 |
#73 := -1::real |
himmelma@35172 | 1777 |
#84 := (* -1::real #29) |
himmelma@35172 | 1778 |
#85 := (+ #84 #31) |
himmelma@35172 | 1779 |
#74 := (* -1::real #31) |
himmelma@35172 | 1780 |
#75 := (+ #29 #74) |
himmelma@35172 | 1781 |
#112 := (>= #75 0::real) |
himmelma@35172 | 1782 |
#119 := (ite #112 #75 #85) |
himmelma@35172 | 1783 |
#127 := (* -1::real #119) |
himmelma@35172 | 1784 |
decl uf_17 :: T5 |
himmelma@35172 | 1785 |
#37 := uf_17 |
himmelma@35172 | 1786 |
#38 := (uf_11 uf_17 uf_15) |
himmelma@35172 | 1787 |
#102 := -1/3::real |
himmelma@35172 | 1788 |
#103 := (* -1/3::real #38) |
himmelma@35172 | 1789 |
#128 := (+ #103 #127) |
himmelma@35172 | 1790 |
#100 := 1/3::real |
himmelma@35172 | 1791 |
#101 := (* 1/3::real #31) |
himmelma@35172 | 1792 |
#129 := (+ #101 #128) |
himmelma@35172 | 1793 |
#130 := (<= #129 0::real) |
himmelma@35172 | 1794 |
#131 := (not #130) |
himmelma@35172 | 1795 |
#40 := 3::real |
himmelma@35172 | 1796 |
#39 := (- #31 #38) |
himmelma@35172 | 1797 |
#41 := (/ #39 3::real) |
himmelma@35172 | 1798 |
#32 := (- #29 #31) |
himmelma@35172 | 1799 |
#35 := (- #32) |
himmelma@35172 | 1800 |
#34 := (< #32 0::real) |
himmelma@35172 | 1801 |
#36 := (ite #34 #35 #32) |
himmelma@35172 | 1802 |
#42 := (< #36 #41) |
himmelma@35172 | 1803 |
#136 := (iff #42 #131) |
himmelma@35172 | 1804 |
#104 := (+ #101 #103) |
himmelma@35172 | 1805 |
#78 := (< #75 0::real) |
himmelma@35172 | 1806 |
#90 := (ite #78 #85 #75) |
himmelma@35172 | 1807 |
#109 := (< #90 #104) |
himmelma@35172 | 1808 |
#134 := (iff #109 #131) |
himmelma@35172 | 1809 |
#124 := (< #119 #104) |
himmelma@35172 | 1810 |
#132 := (iff #124 #131) |
himmelma@35172 | 1811 |
#133 := [rewrite]: #132 |
himmelma@35172 | 1812 |
#125 := (iff #109 #124) |
himmelma@35172 | 1813 |
#122 := (= #90 #119) |
himmelma@35172 | 1814 |
#113 := (not #112) |
himmelma@35172 | 1815 |
#116 := (ite #113 #85 #75) |
himmelma@35172 | 1816 |
#120 := (= #116 #119) |
himmelma@35172 | 1817 |
#121 := [rewrite]: #120 |
himmelma@35172 | 1818 |
#117 := (= #90 #116) |
himmelma@35172 | 1819 |
#114 := (iff #78 #113) |
himmelma@35172 | 1820 |
#115 := [rewrite]: #114 |
himmelma@35172 | 1821 |
#118 := [monotonicity #115]: #117 |
himmelma@35172 | 1822 |
#123 := [trans #118 #121]: #122 |
himmelma@35172 | 1823 |
#126 := [monotonicity #123]: #125 |
himmelma@35172 | 1824 |
#135 := [trans #126 #133]: #134 |
himmelma@35172 | 1825 |
#110 := (iff #42 #109) |
himmelma@35172 | 1826 |
#107 := (= #41 #104) |
himmelma@35172 | 1827 |
#93 := (* -1::real #38) |
himmelma@35172 | 1828 |
#94 := (+ #31 #93) |
himmelma@35172 | 1829 |
#97 := (/ #94 3::real) |
himmelma@35172 | 1830 |
#105 := (= #97 #104) |
himmelma@35172 | 1831 |
#106 := [rewrite]: #105 |
himmelma@35172 | 1832 |
#98 := (= #41 #97) |
himmelma@35172 | 1833 |
#95 := (= #39 #94) |
himmelma@35172 | 1834 |
#96 := [rewrite]: #95 |
himmelma@35172 | 1835 |
#99 := [monotonicity #96]: #98 |
himmelma@35172 | 1836 |
#108 := [trans #99 #106]: #107 |
himmelma@35172 | 1837 |
#91 := (= #36 #90) |
himmelma@35172 | 1838 |
#76 := (= #32 #75) |
himmelma@35172 | 1839 |
#77 := [rewrite]: #76 |
himmelma@35172 | 1840 |
#88 := (= #35 #85) |
himmelma@35172 | 1841 |
#81 := (- #75) |
himmelma@35172 | 1842 |
#86 := (= #81 #85) |
himmelma@35172 | 1843 |
#87 := [rewrite]: #86 |
himmelma@35172 | 1844 |
#82 := (= #35 #81) |
himmelma@35172 | 1845 |
#83 := [monotonicity #77]: #82 |
himmelma@35172 | 1846 |
#89 := [trans #83 #87]: #88 |
himmelma@35172 | 1847 |
#79 := (iff #34 #78) |
himmelma@35172 | 1848 |
#80 := [monotonicity #77]: #79 |
himmelma@35172 | 1849 |
#92 := [monotonicity #80 #89 #77]: #91 |
himmelma@35172 | 1850 |
#111 := [monotonicity #92 #108]: #110 |
himmelma@35172 | 1851 |
#137 := [trans #111 #135]: #136 |
himmelma@35172 | 1852 |
#72 := [asserted]: #42 |
himmelma@35172 | 1853 |
#138 := [mp #72 #137]: #131 |
himmelma@35172 | 1854 |
decl uf_1 :: T1 |
himmelma@35172 | 1855 |
#4 := uf_1 |
himmelma@35172 | 1856 |
#43 := (uf_13 uf_1) |
himmelma@35172 | 1857 |
#44 := (uf_12 #43 uf_14) |
himmelma@35172 | 1858 |
#45 := (uf_11 #44 uf_15) |
himmelma@35172 | 1859 |
#149 := (* -1::real #45) |
himmelma@35172 | 1860 |
#150 := (+ #38 #149) |
himmelma@35172 | 1861 |
#140 := (+ #93 #45) |
himmelma@35172 | 1862 |
#161 := (<= #150 0::real) |
himmelma@35172 | 1863 |
#168 := (ite #161 #140 #150) |
himmelma@35172 | 1864 |
#176 := (* -1::real #168) |
himmelma@35172 | 1865 |
#177 := (+ #103 #176) |
himmelma@35172 | 1866 |
#178 := (+ #101 #177) |
himmelma@35172 | 1867 |
#179 := (<= #178 0::real) |
himmelma@35172 | 1868 |
#180 := (not #179) |
himmelma@35172 | 1869 |
#46 := (- #45 #38) |
himmelma@35172 | 1870 |
#48 := (- #46) |
himmelma@35172 | 1871 |
#47 := (< #46 0::real) |
himmelma@35172 | 1872 |
#49 := (ite #47 #48 #46) |
himmelma@35172 | 1873 |
#50 := (< #49 #41) |
himmelma@35172 | 1874 |
#185 := (iff #50 #180) |
himmelma@35172 | 1875 |
#143 := (< #140 0::real) |
himmelma@35172 | 1876 |
#155 := (ite #143 #150 #140) |
himmelma@35172 | 1877 |
#158 := (< #155 #104) |
himmelma@35172 | 1878 |
#183 := (iff #158 #180) |
himmelma@35172 | 1879 |
#173 := (< #168 #104) |
himmelma@35172 | 1880 |
#181 := (iff #173 #180) |
himmelma@35172 | 1881 |
#182 := [rewrite]: #181 |
himmelma@35172 | 1882 |
#174 := (iff #158 #173) |
himmelma@35172 | 1883 |
#171 := (= #155 #168) |
himmelma@35172 | 1884 |
#162 := (not #161) |
himmelma@35172 | 1885 |
#165 := (ite #162 #150 #140) |
himmelma@35172 | 1886 |
#169 := (= #165 #168) |
himmelma@35172 | 1887 |
#170 := [rewrite]: #169 |
himmelma@35172 | 1888 |
#166 := (= #155 #165) |
himmelma@35172 | 1889 |
#163 := (iff #143 #162) |
himmelma@35172 | 1890 |
#164 := [rewrite]: #163 |
himmelma@35172 | 1891 |
#167 := [monotonicity #164]: #166 |
himmelma@35172 | 1892 |
#172 := [trans #167 #170]: #171 |
himmelma@35172 | 1893 |
#175 := [monotonicity #172]: #174 |
himmelma@35172 | 1894 |
#184 := [trans #175 #182]: #183 |
himmelma@35172 | 1895 |
#159 := (iff #50 #158) |
himmelma@35172 | 1896 |
#156 := (= #49 #155) |
himmelma@35172 | 1897 |
#141 := (= #46 #140) |
himmelma@35172 | 1898 |
#142 := [rewrite]: #141 |
himmelma@35172 | 1899 |
#153 := (= #48 #150) |
himmelma@35172 | 1900 |
#146 := (- #140) |
himmelma@35172 | 1901 |
#151 := (= #146 #150) |
himmelma@35172 | 1902 |
#152 := [rewrite]: #151 |
himmelma@35172 | 1903 |
#147 := (= #48 #146) |
himmelma@35172 | 1904 |
#148 := [monotonicity #142]: #147 |
himmelma@35172 | 1905 |
#154 := [trans #148 #152]: #153 |
himmelma@35172 | 1906 |
#144 := (iff #47 #143) |
himmelma@35172 | 1907 |
#145 := [monotonicity #142]: #144 |
himmelma@35172 | 1908 |
#157 := [monotonicity #145 #154 #142]: #156 |
himmelma@35172 | 1909 |
#160 := [monotonicity #157 #108]: #159 |
himmelma@35172 | 1910 |
#186 := [trans #160 #184]: #185 |
himmelma@35172 | 1911 |
#139 := [asserted]: #50 |
himmelma@35172 | 1912 |
#187 := [mp #139 #186]: #180 |
himmelma@35172 | 1913 |
#299 := (+ #140 #176) |
himmelma@35172 | 1914 |
#300 := (<= #299 0::real) |
himmelma@35172 | 1915 |
#290 := (= #140 #168) |
himmelma@35172 | 1916 |
#329 := [hypothesis]: #162 |
himmelma@35172 | 1917 |
#191 := (+ #29 #149) |
himmelma@35172 | 1918 |
#192 := (<= #191 0::real) |
himmelma@35172 | 1919 |
#51 := (<= #29 #45) |
himmelma@35172 | 1920 |
#193 := (iff #51 #192) |
himmelma@35172 | 1921 |
#194 := [rewrite]: #193 |
himmelma@35172 | 1922 |
#188 := [asserted]: #51 |
himmelma@35172 | 1923 |
#195 := [mp #188 #194]: #192 |
himmelma@35172 | 1924 |
#298 := (+ #75 #127) |
himmelma@35172 | 1925 |
#301 := (<= #298 0::real) |
himmelma@35172 | 1926 |
#284 := (= #75 #119) |
himmelma@35172 | 1927 |
#302 := [hypothesis]: #113 |
himmelma@35172 | 1928 |
#296 := (+ #85 #127) |
himmelma@35172 | 1929 |
#297 := (<= #296 0::real) |
himmelma@35172 | 1930 |
#285 := (= #85 #119) |
himmelma@35172 | 1931 |
#288 := (or #112 #285) |
himmelma@35172 | 1932 |
#289 := [def-axiom]: #288 |
himmelma@35172 | 1933 |
#303 := [unit-resolution #289 #302]: #285 |
himmelma@35172 | 1934 |
#304 := (not #285) |
himmelma@35172 | 1935 |
#305 := (or #304 #297) |
himmelma@35172 | 1936 |
#306 := [th-lemma]: #305 |
himmelma@35172 | 1937 |
#307 := [unit-resolution #306 #303]: #297 |
himmelma@35172 | 1938 |
#315 := (not #290) |
himmelma@35172 | 1939 |
#310 := (not #300) |
himmelma@35172 | 1940 |
#311 := (or #310 #112) |
himmelma@35172 | 1941 |
#308 := [hypothesis]: #300 |
himmelma@35172 | 1942 |
#309 := [th-lemma #308 #307 #138 #302 #187 #195]: false |
himmelma@35172 | 1943 |
#312 := [lemma #309]: #311 |
himmelma@35172 | 1944 |
#322 := [unit-resolution #312 #302]: #310 |
himmelma@35172 | 1945 |
#316 := (or #315 #300) |
himmelma@35172 | 1946 |
#313 := [hypothesis]: #310 |
himmelma@35172 | 1947 |
#314 := [hypothesis]: #290 |
himmelma@35172 | 1948 |
#317 := [th-lemma]: #316 |
himmelma@35172 | 1949 |
#318 := [unit-resolution #317 #314 #313]: false |
himmelma@35172 | 1950 |
#319 := [lemma #318]: #316 |
himmelma@35172 | 1951 |
#323 := [unit-resolution #319 #322]: #315 |
himmelma@35172 | 1952 |
#292 := (or #162 #290) |
himmelma@35172 | 1953 |
#293 := [def-axiom]: #292 |
himmelma@35172 | 1954 |
#324 := [unit-resolution #293 #323]: #162 |
himmelma@35172 | 1955 |
#325 := [th-lemma #324 #307 #138 #302 #195]: false |
himmelma@35172 | 1956 |
#326 := [lemma #325]: #112 |
himmelma@35172 | 1957 |
#286 := (or #113 #284) |
himmelma@35172 | 1958 |
#287 := [def-axiom]: #286 |
himmelma@35172 | 1959 |
#330 := [unit-resolution #287 #326]: #284 |
himmelma@35172 | 1960 |
#331 := (not #284) |
himmelma@35172 | 1961 |
#332 := (or #331 #301) |
himmelma@35172 | 1962 |
#333 := [th-lemma]: #332 |
himmelma@35172 | 1963 |
#334 := [unit-resolution #333 #330]: #301 |
himmelma@35172 | 1964 |
#335 := [th-lemma #326 #334 #195 #329 #138]: false |
himmelma@35172 | 1965 |
#336 := [lemma #335]: #161 |
himmelma@35172 | 1966 |
#327 := [unit-resolution #293 #336]: #290 |
himmelma@35172 | 1967 |
#328 := [unit-resolution #319 #327]: #300 |
himmelma@35172 | 1968 |
[th-lemma #326 #334 #195 #328 #187 #138]: false |
himmelma@35172 | 1969 |
unsat |
himmelma@35172 | 1970 |
GX51o3DUO/UBS3eNP2P9kA 285 0 |
himmelma@35172 | 1971 |
#2 := false |
himmelma@35172 | 1972 |
#7 := 0::real |
himmelma@35172 | 1973 |
decl uf_4 :: real |
himmelma@35172 | 1974 |
#16 := uf_4 |
himmelma@35172 | 1975 |
#40 := -1::real |
himmelma@35172 | 1976 |
#116 := (* -1::real uf_4) |
himmelma@35172 | 1977 |
decl uf_3 :: real |
himmelma@35172 | 1978 |
#11 := uf_3 |
himmelma@35172 | 1979 |
#117 := (+ uf_3 #116) |
himmelma@35172 | 1980 |
#128 := (<= #117 0::real) |
himmelma@35172 | 1981 |
#129 := (not #128) |
himmelma@35172 | 1982 |
#220 := 2/3::real |
himmelma@35172 | 1983 |
#221 := (* 2/3::real uf_3) |
himmelma@35172 | 1984 |
#222 := (+ #221 #116) |
himmelma@35172 | 1985 |
decl uf_2 :: real |
himmelma@35172 | 1986 |
#5 := uf_2 |
himmelma@35172 | 1987 |
#67 := 1/3::real |
himmelma@35172 | 1988 |
#68 := (* 1/3::real uf_2) |
himmelma@35172 | 1989 |
#233 := (+ #68 #222) |
himmelma@35172 | 1990 |
#243 := (<= #233 0::real) |
himmelma@35172 | 1991 |
#268 := (not #243) |
himmelma@35172 | 1992 |
#287 := [hypothesis]: #268 |
himmelma@35172 | 1993 |
#41 := (* -1::real uf_2) |
himmelma@35172 | 1994 |
decl uf_1 :: real |
himmelma@35172 | 1995 |
#4 := uf_1 |
himmelma@35172 | 1996 |
#42 := (+ uf_1 #41) |
himmelma@35172 | 1997 |
#79 := (>= #42 0::real) |
himmelma@35172 | 1998 |
#80 := (not #79) |
himmelma@35172 | 1999 |
#297 := (or #80 #243) |
himmelma@35172 | 2000 |
#158 := (+ uf_1 #116) |
himmelma@35172 | 2001 |
#159 := (<= #158 0::real) |
himmelma@35172 | 2002 |
#22 := (<= uf_1 uf_4) |
himmelma@35172 | 2003 |
#160 := (iff #22 #159) |
himmelma@35172 | 2004 |
#161 := [rewrite]: #160 |
himmelma@35172 | 2005 |
#155 := [asserted]: #22 |
himmelma@35172 | 2006 |
#162 := [mp #155 #161]: #159 |
himmelma@35172 | 2007 |
#200 := (* 1/3::real uf_3) |
himmelma@35172 | 2008 |
#198 := -4/3::real |
himmelma@35172 | 2009 |
#199 := (* -4/3::real uf_2) |
himmelma@35172 | 2010 |
#201 := (+ #199 #200) |
himmelma@35172 | 2011 |
#202 := (+ uf_1 #201) |
himmelma@35172 | 2012 |
#203 := (>= #202 0::real) |
himmelma@35172 | 2013 |
#258 := (not #203) |
himmelma@35172 | 2014 |
#292 := [hypothesis]: #79 |
himmelma@35172 | 2015 |
#293 := (or #80 #258) |
himmelma@35172 | 2016 |
#69 := -1/3::real |
himmelma@35172 | 2017 |
#70 := (* -1/3::real uf_3) |
himmelma@35172 | 2018 |
#186 := -2/3::real |
himmelma@35172 | 2019 |
#187 := (* -2/3::real uf_2) |
himmelma@35172 | 2020 |
#188 := (+ #187 #70) |
himmelma@35172 | 2021 |
#189 := (+ uf_1 #188) |
himmelma@35172 | 2022 |
#204 := (<= #189 0::real) |
himmelma@35172 | 2023 |
#205 := (ite #79 #203 #204) |
himmelma@35172 | 2024 |
#210 := (not #205) |
himmelma@35172 | 2025 |
#51 := (* -1::real uf_1) |
himmelma@35172 | 2026 |
#52 := (+ #51 uf_2) |
himmelma@35172 | 2027 |
#86 := (ite #79 #42 #52) |
himmelma@35172 | 2028 |
#94 := (* -1::real #86) |
himmelma@35172 | 2029 |
#95 := (+ #70 #94) |
himmelma@35172 | 2030 |
#96 := (+ #68 #95) |
himmelma@35172 | 2031 |
#97 := (<= #96 0::real) |
himmelma@35172 | 2032 |
#98 := (not #97) |
himmelma@35172 | 2033 |
#211 := (iff #98 #210) |
himmelma@35172 | 2034 |
#208 := (iff #97 #205) |
himmelma@35172 | 2035 |
#182 := 4/3::real |
himmelma@35172 | 2036 |
#183 := (* 4/3::real uf_2) |
himmelma@35172 | 2037 |
#184 := (+ #183 #70) |
himmelma@35172 | 2038 |
#185 := (+ #51 #184) |
himmelma@35172 | 2039 |
#190 := (ite #79 #185 #189) |
himmelma@35172 | 2040 |
#195 := (<= #190 0::real) |
himmelma@35172 | 2041 |
#206 := (iff #195 #205) |
himmelma@35172 | 2042 |
#207 := [rewrite]: #206 |
himmelma@35172 | 2043 |
#196 := (iff #97 #195) |
himmelma@35172 | 2044 |
#193 := (= #96 #190) |
himmelma@35172 | 2045 |
#172 := (+ #41 #70) |
himmelma@35172 | 2046 |
#173 := (+ uf_1 #172) |
himmelma@35172 | 2047 |
#170 := (+ uf_2 #70) |
himmelma@35172 | 2048 |
#171 := (+ #51 #170) |
himmelma@35172 | 2049 |
#174 := (ite #79 #171 #173) |
himmelma@35172 | 2050 |
#179 := (+ #68 #174) |
himmelma@35172 | 2051 |
#191 := (= #179 #190) |
himmelma@35172 | 2052 |
#192 := [rewrite]: #191 |
himmelma@35172 | 2053 |
#180 := (= #96 #179) |
himmelma@35172 | 2054 |
#177 := (= #95 #174) |
himmelma@35172 | 2055 |
#164 := (ite #79 #52 #42) |
himmelma@35172 | 2056 |
#167 := (+ #70 #164) |
himmelma@35172 | 2057 |
#175 := (= #167 #174) |
himmelma@35172 | 2058 |
#176 := [rewrite]: #175 |
himmelma@35172 | 2059 |
#168 := (= #95 #167) |
himmelma@35172 | 2060 |
#156 := (= #94 #164) |
himmelma@35172 | 2061 |
#165 := [rewrite]: #156 |
himmelma@35172 | 2062 |
#169 := [monotonicity #165]: #168 |
himmelma@35172 | 2063 |
#178 := [trans #169 #176]: #177 |
himmelma@35172 | 2064 |
#181 := [monotonicity #178]: #180 |
himmelma@35172 | 2065 |
#194 := [trans #181 #192]: #193 |
himmelma@35172 | 2066 |
#197 := [monotonicity #194]: #196 |
himmelma@35172 | 2067 |
#209 := [trans #197 #207]: #208 |
himmelma@35172 | 2068 |
#212 := [monotonicity #209]: #211 |
himmelma@35172 | 2069 |
#13 := 3::real |
himmelma@35172 | 2070 |
#12 := (- uf_2 uf_3) |
himmelma@35172 | 2071 |
#14 := (/ #12 3::real) |
himmelma@35172 | 2072 |
#6 := (- uf_1 uf_2) |
himmelma@35172 | 2073 |
#9 := (- #6) |
himmelma@35172 | 2074 |
#8 := (< #6 0::real) |
himmelma@35172 | 2075 |
#10 := (ite #8 #9 #6) |
himmelma@35172 | 2076 |
#15 := (< #10 #14) |
himmelma@35172 | 2077 |
#103 := (iff #15 #98) |
himmelma@35172 | 2078 |
#71 := (+ #68 #70) |
himmelma@35172 | 2079 |
#45 := (< #42 0::real) |
himmelma@35172 | 2080 |
#57 := (ite #45 #52 #42) |
himmelma@35172 | 2081 |
#76 := (< #57 #71) |
himmelma@35172 | 2082 |
#101 := (iff #76 #98) |
himmelma@35172 | 2083 |
#91 := (< #86 #71) |
himmelma@35172 | 2084 |
#99 := (iff #91 #98) |
himmelma@35172 | 2085 |
#100 := [rewrite]: #99 |
himmelma@35172 | 2086 |
#92 := (iff #76 #91) |
himmelma@35172 | 2087 |
#89 := (= #57 #86) |
himmelma@35172 | 2088 |
#83 := (ite #80 #52 #42) |
himmelma@35172 | 2089 |
#87 := (= #83 #86) |
himmelma@35172 | 2090 |
#88 := [rewrite]: #87 |
himmelma@35172 | 2091 |
#84 := (= #57 #83) |
himmelma@35172 | 2092 |
#81 := (iff #45 #80) |
himmelma@35172 | 2093 |
#82 := [rewrite]: #81 |
himmelma@35172 | 2094 |
#85 := [monotonicity #82]: #84 |
himmelma@35172 | 2095 |
#90 := [trans #85 #88]: #89 |
himmelma@35172 | 2096 |
#93 := [monotonicity #90]: #92 |
himmelma@35172 | 2097 |
#102 := [trans #93 #100]: #101 |
himmelma@35172 | 2098 |
#77 := (iff #15 #76) |
himmelma@35172 | 2099 |
#74 := (= #14 #71) |
himmelma@35172 | 2100 |
#60 := (* -1::real uf_3) |
himmelma@35172 | 2101 |
#61 := (+ uf_2 #60) |
himmelma@35172 | 2102 |
#64 := (/ #61 3::real) |
himmelma@35172 | 2103 |
#72 := (= #64 #71) |
himmelma@35172 | 2104 |
#73 := [rewrite]: #72 |
himmelma@35172 | 2105 |
#65 := (= #14 #64) |
himmelma@35172 | 2106 |
#62 := (= #12 #61) |
himmelma@35172 | 2107 |
#63 := [rewrite]: #62 |
himmelma@35172 | 2108 |
#66 := [monotonicity #63]: #65 |
himmelma@35172 | 2109 |
#75 := [trans #66 #73]: #74 |
himmelma@35172 | 2110 |
#58 := (= #10 #57) |
himmelma@35172 | 2111 |
#43 := (= #6 #42) |
himmelma@35172 | 2112 |
#44 := [rewrite]: #43 |
himmelma@35172 | 2113 |
#55 := (= #9 #52) |
himmelma@35172 | 2114 |
#48 := (- #42) |
himmelma@35172 | 2115 |
#53 := (= #48 #52) |
himmelma@35172 | 2116 |
#54 := [rewrite]: #53 |
himmelma@35172 | 2117 |
#49 := (= #9 #48) |
himmelma@35172 | 2118 |
#50 := [monotonicity #44]: #49 |
himmelma@35172 | 2119 |
#56 := [trans #50 #54]: #55 |
himmelma@35172 | 2120 |
#46 := (iff #8 #45) |
himmelma@35172 | 2121 |
#47 := [monotonicity #44]: #46 |
himmelma@35172 | 2122 |
#59 := [monotonicity #47 #56 #44]: #58 |
himmelma@35172 | 2123 |
#78 := [monotonicity #59 #75]: #77 |
himmelma@35172 | 2124 |
#104 := [trans #78 #102]: #103 |
himmelma@35172 | 2125 |
#39 := [asserted]: #15 |
himmelma@35172 | 2126 |
#105 := [mp #39 #104]: #98 |
himmelma@35172 | 2127 |
#213 := [mp #105 #212]: #210 |
himmelma@35172 | 2128 |
#259 := (or #205 #80 #258) |
himmelma@35172 | 2129 |
#260 := [def-axiom]: #259 |
himmelma@35172 | 2130 |
#294 := [unit-resolution #260 #213]: #293 |
himmelma@35172 | 2131 |
#295 := [unit-resolution #294 #292]: #258 |
himmelma@35172 | 2132 |
#296 := [th-lemma #287 #292 #295 #162]: false |
himmelma@35172 | 2133 |
#298 := [lemma #296]: #297 |
himmelma@35172 | 2134 |
#299 := [unit-resolution #298 #287]: #80 |
himmelma@35172 | 2135 |
#261 := (not #204) |
himmelma@35172 | 2136 |
#281 := (or #79 #261) |
himmelma@35172 | 2137 |
#262 := (or #205 #79 #261) |
himmelma@35172 | 2138 |
#263 := [def-axiom]: #262 |
himmelma@35172 | 2139 |
#282 := [unit-resolution #263 #213]: #281 |
himmelma@35172 | 2140 |
#300 := [unit-resolution #282 #299]: #261 |
himmelma@35172 | 2141 |
#290 := (or #79 #204 #243) |
himmelma@35172 | 2142 |
#276 := [hypothesis]: #261 |
himmelma@35172 | 2143 |
#288 := [hypothesis]: #80 |
himmelma@35172 | 2144 |
#289 := [th-lemma #288 #276 #162 #287]: false |
himmelma@35172 | 2145 |
#291 := [lemma #289]: #290 |
himmelma@35172 | 2146 |
#301 := [unit-resolution #291 #300 #299 #287]: false |
himmelma@35172 | 2147 |
#302 := [lemma #301]: #243 |
himmelma@35172 | 2148 |
#303 := (or #129 #268) |
himmelma@35172 | 2149 |
#223 := (* -4/3::real uf_3) |
himmelma@35172 | 2150 |
#224 := (+ #223 uf_4) |
himmelma@35172 | 2151 |
#234 := (+ #68 #224) |
himmelma@35172 | 2152 |
#244 := (<= #234 0::real) |
himmelma@35172 | 2153 |
#245 := (ite #128 #243 #244) |
himmelma@35172 | 2154 |
#250 := (not #245) |
himmelma@35172 | 2155 |
#107 := (+ #60 uf_4) |
himmelma@35172 | 2156 |
#135 := (ite #128 #107 #117) |
himmelma@35172 | 2157 |
#143 := (* -1::real #135) |
himmelma@35172 | 2158 |
#144 := (+ #70 #143) |
himmelma@35172 | 2159 |
#145 := (+ #68 #144) |
himmelma@35172 | 2160 |
#146 := (<= #145 0::real) |
himmelma@35172 | 2161 |
#147 := (not #146) |
himmelma@35172 | 2162 |
#251 := (iff #147 #250) |
himmelma@35172 | 2163 |
#248 := (iff #146 #245) |
himmelma@35172 | 2164 |
#235 := (ite #128 #233 #234) |
himmelma@35172 | 2165 |
#240 := (<= #235 0::real) |
himmelma@35172 | 2166 |
#246 := (iff #240 #245) |
himmelma@35172 | 2167 |
#247 := [rewrite]: #246 |
himmelma@35172 | 2168 |
#241 := (iff #146 #240) |
himmelma@35172 | 2169 |
#238 := (= #145 #235) |
himmelma@35172 | 2170 |
#225 := (ite #128 #222 #224) |
himmelma@35172 | 2171 |
#230 := (+ #68 #225) |
himmelma@35172 | 2172 |
#236 := (= #230 #235) |
himmelma@35172 | 2173 |
#237 := [rewrite]: #236 |
himmelma@35172 | 2174 |
#231 := (= #145 #230) |
himmelma@35172 | 2175 |
#228 := (= #144 #225) |
himmelma@35172 | 2176 |
#214 := (ite #128 #117 #107) |
himmelma@35172 | 2177 |
#217 := (+ #70 #214) |
himmelma@35172 | 2178 |
#226 := (= #217 #225) |
himmelma@35172 | 2179 |
#227 := [rewrite]: #226 |
himmelma@35172 | 2180 |
#218 := (= #144 #217) |
himmelma@35172 | 2181 |
#215 := (= #143 #214) |
himmelma@35172 | 2182 |
#216 := [rewrite]: #215 |
himmelma@35172 | 2183 |
#219 := [monotonicity #216]: #218 |
himmelma@35172 | 2184 |
#229 := [trans #219 #227]: #228 |
himmelma@35172 | 2185 |
#232 := [monotonicity #229]: #231 |
himmelma@35172 | 2186 |
#239 := [trans #232 #237]: #238 |
himmelma@35172 | 2187 |
#242 := [monotonicity #239]: #241 |
himmelma@35172 | 2188 |
#249 := [trans #242 #247]: #248 |
himmelma@35172 | 2189 |
#252 := [monotonicity #249]: #251 |
himmelma@35172 | 2190 |
#17 := (- uf_4 uf_3) |
himmelma@35172 | 2191 |
#19 := (- #17) |
himmelma@35172 | 2192 |
#18 := (< #17 0::real) |
himmelma@35172 | 2193 |
#20 := (ite #18 #19 #17) |
himmelma@35172 | 2194 |
#21 := (< #20 #14) |
himmelma@35172 | 2195 |
#152 := (iff #21 #147) |
himmelma@35172 | 2196 |
#110 := (< #107 0::real) |
himmelma@35172 | 2197 |
#122 := (ite #110 #117 #107) |
himmelma@35172 | 2198 |
#125 := (< #122 #71) |
himmelma@35172 | 2199 |
#150 := (iff #125 #147) |
himmelma@35172 | 2200 |
#140 := (< #135 #71) |
himmelma@35172 | 2201 |
#148 := (iff #140 #147) |
himmelma@35172 | 2202 |
#149 := [rewrite]: #148 |
himmelma@35172 | 2203 |
#141 := (iff #125 #140) |
himmelma@35172 | 2204 |
#138 := (= #122 #135) |
himmelma@35172 | 2205 |
#132 := (ite #129 #117 #107) |
himmelma@35172 | 2206 |
#136 := (= #132 #135) |
himmelma@35172 | 2207 |
#137 := [rewrite]: #136 |
himmelma@35172 | 2208 |
#133 := (= #122 #132) |
himmelma@35172 | 2209 |
#130 := (iff #110 #129) |
himmelma@35172 | 2210 |
#131 := [rewrite]: #130 |
himmelma@35172 | 2211 |
#134 := [monotonicity #131]: #133 |
himmelma@35172 | 2212 |
#139 := [trans #134 #137]: #138 |
himmelma@35172 | 2213 |
#142 := [monotonicity #139]: #141 |
himmelma@35172 | 2214 |
#151 := [trans #142 #149]: #150 |
himmelma@35172 | 2215 |
#126 := (iff #21 #125) |
himmelma@35172 | 2216 |
#123 := (= #20 #122) |
himmelma@35172 | 2217 |
#108 := (= #17 #107) |
himmelma@35172 | 2218 |
#109 := [rewrite]: #108 |
himmelma@35172 | 2219 |
#120 := (= #19 #117) |
himmelma@35172 | 2220 |
#113 := (- #107) |
himmelma@35172 | 2221 |
#118 := (= #113 #117) |
himmelma@35172 | 2222 |
#119 := [rewrite]: #118 |
himmelma@35172 | 2223 |
#114 := (= #19 #113) |
himmelma@35172 | 2224 |
#115 := [monotonicity #109]: #114 |
himmelma@35172 | 2225 |
#121 := [trans #115 #119]: #120 |
himmelma@35172 | 2226 |
#111 := (iff #18 #110) |
himmelma@35172 | 2227 |
#112 := [monotonicity #109]: #111 |
himmelma@35172 | 2228 |
#124 := [monotonicity #112 #121 #109]: #123 |
himmelma@35172 | 2229 |
#127 := [monotonicity #124 #75]: #126 |
himmelma@35172 | 2230 |
#153 := [trans #127 #151]: #152 |
himmelma@35172 | 2231 |
#106 := [asserted]: #21 |
himmelma@35172 | 2232 |
#154 := [mp #106 #153]: #147 |
himmelma@35172 | 2233 |
#253 := [mp #154 #252]: #250 |
himmelma@35172 | 2234 |
#269 := (or #245 #129 #268) |
himmelma@35172 | 2235 |
#270 := [def-axiom]: #269 |
himmelma@35172 | 2236 |
#304 := [unit-resolution #270 #253]: #303 |
himmelma@35172 | 2237 |
#305 := [unit-resolution #304 #302]: #129 |
himmelma@35172 | 2238 |
#271 := (not #244) |
himmelma@35172 | 2239 |
#306 := (or #128 #271) |
himmelma@35172 | 2240 |
#272 := (or #245 #128 #271) |
himmelma@35172 | 2241 |
#273 := [def-axiom]: #272 |
himmelma@35172 | 2242 |
#307 := [unit-resolution #273 #253]: #306 |
himmelma@35172 | 2243 |
#308 := [unit-resolution #307 #305]: #271 |
himmelma@35172 | 2244 |
#285 := (or #128 #244) |
himmelma@35172 | 2245 |
#274 := [hypothesis]: #271 |
himmelma@35172 | 2246 |
#275 := [hypothesis]: #129 |
himmelma@35172 | 2247 |
#278 := (or #204 #128 #244) |
himmelma@35172 | 2248 |
#277 := [th-lemma #276 #275 #274 #162]: false |
himmelma@35172 | 2249 |
#279 := [lemma #277]: #278 |
himmelma@35172 | 2250 |
#280 := [unit-resolution #279 #275 #274]: #204 |
himmelma@35172 | 2251 |
#283 := [unit-resolution #282 #280]: #79 |
himmelma@35172 | 2252 |
#284 := [th-lemma #275 #274 #283 #162]: false |
himmelma@35172 | 2253 |
#286 := [lemma #284]: #285 |
himmelma@35172 | 2254 |
[unit-resolution #286 #308 #305]: false |
himmelma@35172 | 2255 |
unsat |
himmelma@35172 | 2256 |
cebG074uorSr8ODzgTmcKg 97 0 |
himmelma@35172 | 2257 |
#2 := false |
himmelma@35172 | 2258 |
#18 := 0::real |
himmelma@35172 | 2259 |
decl uf_1 :: (-> T2 T1 real) |
himmelma@35172 | 2260 |
decl uf_5 :: T1 |
himmelma@35172 | 2261 |
#11 := uf_5 |
himmelma@35172 | 2262 |
decl uf_2 :: T2 |
himmelma@35172 | 2263 |
#4 := uf_2 |
himmelma@35172 | 2264 |
#20 := (uf_1 uf_2 uf_5) |
himmelma@35172 | 2265 |
#42 := -1::real |
himmelma@35172 | 2266 |
#53 := (* -1::real #20) |
himmelma@35172 | 2267 |
decl uf_3 :: T2 |
himmelma@35172 | 2268 |
#7 := uf_3 |
himmelma@35172 | 2269 |
#19 := (uf_1 uf_3 uf_5) |
himmelma@35172 | 2270 |
#54 := (+ #19 #53) |
himmelma@35172 | 2271 |
#63 := (<= #54 0::real) |
himmelma@35172 | 2272 |
#21 := (- #19 #20) |
himmelma@35172 | 2273 |
#22 := (< 0::real #21) |
himmelma@35172 | 2274 |
#23 := (not #22) |
himmelma@35172 | 2275 |
#74 := (iff #23 #63) |
himmelma@35172 | 2276 |
#57 := (< 0::real #54) |
himmelma@35172 | 2277 |
#60 := (not #57) |
himmelma@35172 | 2278 |
#72 := (iff #60 #63) |
himmelma@35172 | 2279 |
#64 := (not #63) |
himmelma@35172 | 2280 |
#67 := (not #64) |
himmelma@35172 | 2281 |
#70 := (iff #67 #63) |
himmelma@35172 | 2282 |
#71 := [rewrite]: #70 |
himmelma@35172 | 2283 |
#68 := (iff #60 #67) |
himmelma@35172 | 2284 |
#65 := (iff #57 #64) |
himmelma@35172 | 2285 |
#66 := [rewrite]: #65 |
himmelma@35172 | 2286 |
#69 := [monotonicity #66]: #68 |
himmelma@35172 | 2287 |
#73 := [trans #69 #71]: #72 |
himmelma@35172 | 2288 |
#61 := (iff #23 #60) |
himmelma@35172 | 2289 |
#58 := (iff #22 #57) |
himmelma@35172 | 2290 |
#55 := (= #21 #54) |
himmelma@35172 | 2291 |
#56 := [rewrite]: #55 |
himmelma@35172 | 2292 |
#59 := [monotonicity #56]: #58 |
himmelma@35172 | 2293 |
#62 := [monotonicity #59]: #61 |
himmelma@35172 | 2294 |
#75 := [trans #62 #73]: #74 |
himmelma@35172 | 2295 |
#41 := [asserted]: #23 |
himmelma@35172 | 2296 |
#76 := [mp #41 #75]: #63 |
himmelma@35172 | 2297 |
#5 := (:var 0 T1) |
himmelma@35172 | 2298 |
#8 := (uf_1 uf_3 #5) |
himmelma@35172 | 2299 |
#141 := (pattern #8) |
himmelma@35172 | 2300 |
#6 := (uf_1 uf_2 #5) |
himmelma@35172 | 2301 |
#140 := (pattern #6) |
himmelma@35172 | 2302 |
#45 := (* -1::real #8) |
himmelma@35172 | 2303 |
#46 := (+ #6 #45) |
himmelma@35172 | 2304 |
#44 := (>= #46 0::real) |
himmelma@35172 | 2305 |
#43 := (not #44) |
himmelma@35172 | 2306 |
#142 := (forall (vars (?x1 T1)) (:pat #140 #141) #43) |
himmelma@35172 | 2307 |
#49 := (forall (vars (?x1 T1)) #43) |
himmelma@35172 | 2308 |
#145 := (iff #49 #142) |
himmelma@35172 | 2309 |
#143 := (iff #43 #43) |
himmelma@35172 | 2310 |
#144 := [refl]: #143 |
himmelma@35172 | 2311 |
#146 := [quant-intro #144]: #145 |
himmelma@35172 | 2312 |
#80 := (~ #49 #49) |
himmelma@35172 | 2313 |
#82 := (~ #43 #43) |
himmelma@35172 | 2314 |
#83 := [refl]: #82 |
himmelma@35172 | 2315 |
#81 := [nnf-pos #83]: #80 |
himmelma@35172 | 2316 |
#9 := (< #6 #8) |
himmelma@35172 | 2317 |
#10 := (forall (vars (?x1 T1)) #9) |
himmelma@35172 | 2318 |
#50 := (iff #10 #49) |
himmelma@35172 | 2319 |
#47 := (iff #9 #43) |
himmelma@35172 | 2320 |
#48 := [rewrite]: #47 |
himmelma@35172 | 2321 |
#51 := [quant-intro #48]: #50 |
himmelma@35172 | 2322 |
#39 := [asserted]: #10 |
himmelma@35172 | 2323 |
#52 := [mp #39 #51]: #49 |
himmelma@35172 | 2324 |
#79 := [mp~ #52 #81]: #49 |
himmelma@35172 | 2325 |
#147 := [mp #79 #146]: #142 |
himmelma@35172 | 2326 |
#164 := (not #142) |
himmelma@35172 | 2327 |
#165 := (or #164 #64) |
himmelma@35172 | 2328 |
#148 := (* -1::real #19) |
himmelma@35172 | 2329 |
#149 := (+ #20 #148) |
himmelma@35172 | 2330 |
#150 := (>= #149 0::real) |
himmelma@35172 | 2331 |
#151 := (not #150) |
himmelma@35172 | 2332 |
#166 := (or #164 #151) |
himmelma@35172 | 2333 |
#168 := (iff #166 #165) |
himmelma@35172 | 2334 |
#170 := (iff #165 #165) |
himmelma@35172 | 2335 |
#171 := [rewrite]: #170 |
himmelma@35172 | 2336 |
#162 := (iff #151 #64) |
himmelma@35172 | 2337 |
#160 := (iff #150 #63) |
himmelma@35172 | 2338 |
#152 := (+ #148 #20) |
himmelma@35172 | 2339 |
#155 := (>= #152 0::real) |
himmelma@35172 | 2340 |
#158 := (iff #155 #63) |
himmelma@35172 | 2341 |
#159 := [rewrite]: #158 |
himmelma@35172 | 2342 |
#156 := (iff #150 #155) |
himmelma@35172 | 2343 |
#153 := (= #149 #152) |
himmelma@35172 | 2344 |
#154 := [rewrite]: #153 |
himmelma@35172 | 2345 |
#157 := [monotonicity #154]: #156 |
himmelma@35172 | 2346 |
#161 := [trans #157 #159]: #160 |
himmelma@35172 | 2347 |
#163 := [monotonicity #161]: #162 |
himmelma@35172 | 2348 |
#169 := [monotonicity #163]: #168 |
himmelma@35172 | 2349 |
#172 := [trans #169 #171]: #168 |
himmelma@35172 | 2350 |
#167 := [quant-inst]: #166 |
himmelma@35172 | 2351 |
#173 := [mp #167 #172]: #165 |
himmelma@35172 | 2352 |
[unit-resolution #173 #147 #76]: false |
himmelma@35172 | 2353 |
unsat |
himmelma@35172 | 2354 |
DKRtrJ2XceCkITuNwNViRw 57 0 |
himmelma@35172 | 2355 |
#2 := false |
himmelma@35172 | 2356 |
#4 := 0::real |
himmelma@35172 | 2357 |
decl uf_1 :: (-> T2 real) |
himmelma@35172 | 2358 |
decl uf_2 :: (-> T1 T1 T2) |
himmelma@35172 | 2359 |
decl uf_12 :: (-> T4 T1) |
himmelma@35172 | 2360 |
decl uf_4 :: T4 |
himmelma@35172 | 2361 |
#11 := uf_4 |
himmelma@35172 | 2362 |
#39 := (uf_12 uf_4) |
himmelma@35172 | 2363 |
decl uf_10 :: T4 |
himmelma@35172 | 2364 |
#27 := uf_10 |
himmelma@35172 | 2365 |
#38 := (uf_12 uf_10) |
himmelma@35172 | 2366 |
#40 := (uf_2 #38 #39) |
himmelma@35172 | 2367 |
#41 := (uf_1 #40) |
himmelma@35172 | 2368 |
#264 := (>= #41 0::real) |
himmelma@35172 | 2369 |
#266 := (not #264) |
himmelma@35172 | 2370 |
#43 := (= #41 0::real) |
himmelma@35172 | 2371 |
#44 := (not #43) |
himmelma@35172 | 2372 |
#131 := [asserted]: #44 |
himmelma@35172 | 2373 |
#272 := (or #43 #266) |
himmelma@35172 | 2374 |
#42 := (<= #41 0::real) |
himmelma@35172 | 2375 |
#130 := [asserted]: #42 |
himmelma@35172 | 2376 |
#265 := (not #42) |
himmelma@35172 | 2377 |
#270 := (or #43 #265 #266) |
himmelma@35172 | 2378 |
#271 := [th-lemma]: #270 |
himmelma@35172 | 2379 |
#273 := [unit-resolution #271 #130]: #272 |
himmelma@35172 | 2380 |
#274 := [unit-resolution #273 #131]: #266 |
himmelma@35172 | 2381 |
#6 := (:var 0 T1) |
himmelma@35172 | 2382 |
#5 := (:var 1 T1) |
himmelma@35172 | 2383 |
#7 := (uf_2 #5 #6) |
himmelma@35172 | 2384 |
#241 := (pattern #7) |
himmelma@35172 | 2385 |
#8 := (uf_1 #7) |
himmelma@35172 | 2386 |
#65 := (>= #8 0::real) |
himmelma@35172 | 2387 |
#242 := (forall (vars (?x1 T1) (?x2 T1)) (:pat #241) #65) |
himmelma@35172 | 2388 |
#66 := (forall (vars (?x1 T1) (?x2 T1)) #65) |
himmelma@35172 | 2389 |
#245 := (iff #66 #242) |
himmelma@35172 | 2390 |
#243 := (iff #65 #65) |
himmelma@35172 | 2391 |
#244 := [refl]: #243 |
himmelma@35172 | 2392 |
#246 := [quant-intro #244]: #245 |
himmelma@35172 | 2393 |
#149 := (~ #66 #66) |
himmelma@35172 | 2394 |
#151 := (~ #65 #65) |
himmelma@35172 | 2395 |
#152 := [refl]: #151 |
himmelma@35172 | 2396 |
#150 := [nnf-pos #152]: #149 |
himmelma@35172 | 2397 |
#9 := (<= 0::real #8) |
himmelma@35172 | 2398 |
#10 := (forall (vars (?x1 T1) (?x2 T1)) #9) |
himmelma@35172 | 2399 |
#67 := (iff #10 #66) |
himmelma@35172 | 2400 |
#63 := (iff #9 #65) |
himmelma@35172 | 2401 |
#64 := [rewrite]: #63 |
himmelma@35172 | 2402 |
#68 := [quant-intro #64]: #67 |
himmelma@35172 | 2403 |
#60 := [asserted]: #10 |
himmelma@35172 | 2404 |
#69 := [mp #60 #68]: #66 |
himmelma@35172 | 2405 |
#147 := [mp~ #69 #150]: #66 |
himmelma@35172 | 2406 |
#247 := [mp #147 #246]: #242 |
himmelma@35172 | 2407 |
#267 := (not #242) |
himmelma@35172 | 2408 |
#268 := (or #267 #264) |
himmelma@35172 | 2409 |
#269 := [quant-inst]: #268 |
himmelma@35172 | 2410 |
[unit-resolution #269 #247 #274]: false |
himmelma@35172 | 2411 |
unsat |
himmelma@35172 | 2412 |
97KJAJfUio+nGchEHWvgAw 91 0 |
himmelma@35172 | 2413 |
#2 := false |
himmelma@35172 | 2414 |
#38 := 0::real |
himmelma@35172 | 2415 |
decl uf_1 :: (-> T1 T2 real) |
himmelma@35172 | 2416 |
decl uf_3 :: T2 |
himmelma@35172 | 2417 |
#5 := uf_3 |
himmelma@35172 | 2418 |
decl uf_4 :: T1 |
himmelma@35172 | 2419 |
#7 := uf_4 |
himmelma@35172 | 2420 |
#8 := (uf_1 uf_4 uf_3) |
himmelma@35172 | 2421 |
#35 := -1::real |
himmelma@35172 | 2422 |
#36 := (* -1::real #8) |
himmelma@35172 | 2423 |
decl uf_2 :: T1 |
himmelma@35172 | 2424 |
#4 := uf_2 |
himmelma@35172 | 2425 |
#6 := (uf_1 uf_2 uf_3) |
himmelma@35172 | 2426 |
#37 := (+ #6 #36) |
himmelma@35172 | 2427 |
#130 := (>= #37 0::real) |
himmelma@35172 | 2428 |
#155 := (not #130) |
himmelma@35172 | 2429 |
#43 := (= #6 #8) |
himmelma@35172 | 2430 |
#55 := (not #43) |
himmelma@35172 | 2431 |
#15 := (= #8 #6) |
himmelma@35172 | 2432 |
#16 := (not #15) |
himmelma@35172 | 2433 |
#56 := (iff #16 #55) |
himmelma@35172 | 2434 |
#53 := (iff #15 #43) |
himmelma@35172 | 2435 |
#54 := [rewrite]: #53 |
himmelma@35172 | 2436 |
#57 := [monotonicity #54]: #56 |
himmelma@35172 | 2437 |
#34 := [asserted]: #16 |
himmelma@35172 | 2438 |
#60 := [mp #34 #57]: #55 |
himmelma@35172 | 2439 |
#158 := (or #43 #155) |
himmelma@35172 | 2440 |
#39 := (<= #37 0::real) |
himmelma@35172 | 2441 |
#9 := (<= #6 #8) |
himmelma@35172 | 2442 |
#40 := (iff #9 #39) |
himmelma@35172 | 2443 |
#41 := [rewrite]: #40 |
himmelma@35172 | 2444 |
#32 := [asserted]: #9 |
himmelma@35172 | 2445 |
#42 := [mp #32 #41]: #39 |
himmelma@35172 | 2446 |
#154 := (not #39) |
himmelma@35172 | 2447 |
#156 := (or #43 #154 #155) |
himmelma@35172 | 2448 |
#157 := [th-lemma]: #156 |
himmelma@35172 | 2449 |
#159 := [unit-resolution #157 #42]: #158 |
himmelma@35172 | 2450 |
#160 := [unit-resolution #159 #60]: #155 |
himmelma@35172 | 2451 |
#10 := (:var 0 T2) |
himmelma@35172 | 2452 |
#12 := (uf_1 uf_2 #10) |
himmelma@35172 | 2453 |
#123 := (pattern #12) |
himmelma@35172 | 2454 |
#11 := (uf_1 uf_4 #10) |
himmelma@35172 | 2455 |
#122 := (pattern #11) |
himmelma@35172 | 2456 |
#44 := (* -1::real #12) |
himmelma@35172 | 2457 |
#45 := (+ #11 #44) |
himmelma@35172 | 2458 |
#46 := (<= #45 0::real) |
himmelma@35172 | 2459 |
#124 := (forall (vars (?x1 T2)) (:pat #122 #123) #46) |
himmelma@35172 | 2460 |
#49 := (forall (vars (?x1 T2)) #46) |
himmelma@35172 | 2461 |
#127 := (iff #49 #124) |
himmelma@35172 | 2462 |
#125 := (iff #46 #46) |
himmelma@35172 | 2463 |
#126 := [refl]: #125 |
himmelma@35172 | 2464 |
#128 := [quant-intro #126]: #127 |
himmelma@35172 | 2465 |
#62 := (~ #49 #49) |
himmelma@35172 | 2466 |
#64 := (~ #46 #46) |
himmelma@35172 | 2467 |
#65 := [refl]: #64 |
himmelma@35172 | 2468 |
#63 := [nnf-pos #65]: #62 |
himmelma@35172 | 2469 |
#13 := (<= #11 #12) |
himmelma@35172 | 2470 |
#14 := (forall (vars (?x1 T2)) #13) |
himmelma@35172 | 2471 |
#50 := (iff #14 #49) |
himmelma@35172 | 2472 |
#47 := (iff #13 #46) |
himmelma@35172 | 2473 |
#48 := [rewrite]: #47 |
himmelma@35172 | 2474 |
#51 := [quant-intro #48]: #50 |
himmelma@35172 | 2475 |
#33 := [asserted]: #14 |
himmelma@35172 | 2476 |
#52 := [mp #33 #51]: #49 |
himmelma@35172 | 2477 |
#61 := [mp~ #52 #63]: #49 |
himmelma@35172 | 2478 |
#129 := [mp #61 #128]: #124 |
himmelma@35172 | 2479 |
#144 := (not #124) |
himmelma@35172 | 2480 |
#145 := (or #144 #130) |
himmelma@35172 | 2481 |
#131 := (* -1::real #6) |
himmelma@35172 | 2482 |
#132 := (+ #8 #131) |
himmelma@35172 | 2483 |
#133 := (<= #132 0::real) |
himmelma@35172 | 2484 |
#146 := (or #144 #133) |
himmelma@35172 | 2485 |
#148 := (iff #146 #145) |
himmelma@35172 | 2486 |
#150 := (iff #145 #145) |
himmelma@35172 | 2487 |
#151 := [rewrite]: #150 |
himmelma@35172 | 2488 |
#142 := (iff #133 #130) |
himmelma@35172 | 2489 |
#134 := (+ #131 #8) |
himmelma@35172 | 2490 |
#137 := (<= #134 0::real) |
himmelma@35172 | 2491 |
#140 := (iff #137 #130) |
himmelma@35172 | 2492 |
#141 := [rewrite]: #140 |
himmelma@35172 | 2493 |
#138 := (iff #133 #137) |
himmelma@35172 | 2494 |
#135 := (= #132 #134) |
himmelma@35172 | 2495 |
#136 := [rewrite]: #135 |
himmelma@35172 | 2496 |
#139 := [monotonicity #136]: #138 |
himmelma@35172 | 2497 |
#143 := [trans #139 #141]: #142 |
himmelma@35172 | 2498 |
#149 := [monotonicity #143]: #148 |
himmelma@35172 | 2499 |
#152 := [trans #149 #151]: #148 |
himmelma@35172 | 2500 |
#147 := [quant-inst]: #146 |
himmelma@35172 | 2501 |
#153 := [mp #147 #152]: #145 |
himmelma@35172 | 2502 |
[unit-resolution #153 #129 #160]: false |
himmelma@35172 | 2503 |
unsat |
himmelma@35172 | 2504 |
flJYbeWfe+t2l/zsRqdujA 149 0 |
himmelma@35172 | 2505 |
#2 := false |
himmelma@35172 | 2506 |
#19 := 0::real |
himmelma@35172 | 2507 |
decl uf_1 :: (-> T1 T2 real) |
himmelma@35172 | 2508 |
decl uf_3 :: T2 |
himmelma@35172 | 2509 |
#5 := uf_3 |
himmelma@35172 | 2510 |
decl uf_4 :: T1 |
himmelma@35172 | 2511 |
#7 := uf_4 |
himmelma@35172 | 2512 |
#8 := (uf_1 uf_4 uf_3) |
himmelma@35172 | 2513 |
#44 := -1::real |
himmelma@35172 | 2514 |
#156 := (* -1::real #8) |
himmelma@35172 | 2515 |
decl uf_2 :: T1 |
himmelma@35172 | 2516 |
#4 := uf_2 |
himmelma@35172 | 2517 |
#6 := (uf_1 uf_2 uf_3) |
himmelma@35172 | 2518 |
#203 := (+ #6 #156) |
himmelma@35172 | 2519 |
#205 := (>= #203 0::real) |
himmelma@35172 | 2520 |
#9 := (= #6 #8) |
himmelma@35172 | 2521 |
#40 := [asserted]: #9 |
himmelma@35172 | 2522 |
#208 := (not #9) |
himmelma@35172 | 2523 |
#209 := (or #208 #205) |
himmelma@35172 | 2524 |
#210 := [th-lemma]: #209 |
himmelma@35172 | 2525 |
#211 := [unit-resolution #210 #40]: #205 |
himmelma@35172 | 2526 |
decl uf_5 :: T1 |
himmelma@35172 | 2527 |
#12 := uf_5 |
himmelma@35172 | 2528 |
#22 := (uf_1 uf_5 uf_3) |
himmelma@35172 | 2529 |
#160 := (* -1::real #22) |
himmelma@35172 | 2530 |
#161 := (+ #6 #160) |
himmelma@35172 | 2531 |
#207 := (>= #161 0::real) |
himmelma@35172 | 2532 |
#222 := (not #207) |
himmelma@35172 | 2533 |
#206 := (= #6 #22) |
himmelma@35172 | 2534 |
#216 := (not #206) |
himmelma@35172 | 2535 |
#62 := (= #8 #22) |
himmelma@35172 | 2536 |
#70 := (not #62) |
himmelma@35172 | 2537 |
#217 := (iff #70 #216) |
himmelma@35172 | 2538 |
#214 := (iff #62 #206) |
himmelma@35172 | 2539 |
#212 := (iff #206 #62) |
himmelma@35172 | 2540 |
#213 := [monotonicity #40]: #212 |
himmelma@35172 | 2541 |
#215 := [symm #213]: #214 |
himmelma@35172 | 2542 |
#218 := [monotonicity #215]: #217 |
himmelma@35172 | 2543 |
#23 := (= #22 #8) |
himmelma@35172 | 2544 |
#24 := (not #23) |
himmelma@35172 | 2545 |
#71 := (iff #24 #70) |
himmelma@35172 | 2546 |
#68 := (iff #23 #62) |
himmelma@35172 | 2547 |
#69 := [rewrite]: #68 |
himmelma@35172 | 2548 |
#72 := [monotonicity #69]: #71 |
himmelma@35172 | 2549 |
#43 := [asserted]: #24 |
himmelma@35172 | 2550 |
#75 := [mp #43 #72]: #70 |
himmelma@35172 | 2551 |
#219 := [mp #75 #218]: #216 |
himmelma@35172 | 2552 |
#225 := (or #206 #222) |
himmelma@35172 | 2553 |
#162 := (<= #161 0::real) |
himmelma@35172 | 2554 |
#172 := (+ #8 #160) |
himmelma@35172 | 2555 |
#173 := (>= #172 0::real) |
himmelma@35172 | 2556 |
#178 := (not #173) |
himmelma@35172 | 2557 |
#163 := (not #162) |
himmelma@35172 | 2558 |
#181 := (or #163 #178) |
himmelma@35172 | 2559 |
#184 := (not #181) |
himmelma@35172 | 2560 |
#10 := (:var 0 T2) |
himmelma@35172 | 2561 |
#15 := (uf_1 uf_4 #10) |
himmelma@35172 | 2562 |
#149 := (pattern #15) |
himmelma@35172 | 2563 |
#13 := (uf_1 uf_5 #10) |
himmelma@35172 | 2564 |
#148 := (pattern #13) |
himmelma@35172 | 2565 |
#11 := (uf_1 uf_2 #10) |
himmelma@35172 | 2566 |
#147 := (pattern #11) |
himmelma@35172 | 2567 |
#50 := (* -1::real #15) |
himmelma@35172 | 2568 |
#51 := (+ #13 #50) |
himmelma@35172 | 2569 |
#52 := (<= #51 0::real) |
himmelma@35172 | 2570 |
#76 := (not #52) |
himmelma@35172 | 2571 |
#45 := (* -1::real #13) |
himmelma@35172 | 2572 |
#46 := (+ #11 #45) |
himmelma@35172 | 2573 |
#47 := (<= #46 0::real) |
himmelma@35172 | 2574 |
#78 := (not #47) |
himmelma@35172 | 2575 |
#73 := (or #78 #76) |
himmelma@35172 | 2576 |
#83 := (not #73) |
himmelma@35172 | 2577 |
#150 := (forall (vars (?x1 T2)) (:pat #147 #148 #149) #83) |
himmelma@35172 | 2578 |
#86 := (forall (vars (?x1 T2)) #83) |
himmelma@35172 | 2579 |
#153 := (iff #86 #150) |
himmelma@35172 | 2580 |
#151 := (iff #83 #83) |
himmelma@35172 | 2581 |
#152 := [refl]: #151 |
himmelma@35172 | 2582 |
#154 := [quant-intro #152]: #153 |
himmelma@35172 | 2583 |
#55 := (and #47 #52) |
himmelma@35172 | 2584 |
#58 := (forall (vars (?x1 T2)) #55) |
himmelma@35172 | 2585 |
#87 := (iff #58 #86) |
himmelma@35172 | 2586 |
#84 := (iff #55 #83) |
himmelma@35172 | 2587 |
#85 := [rewrite]: #84 |
himmelma@35172 | 2588 |
#88 := [quant-intro #85]: #87 |
himmelma@35172 | 2589 |
#79 := (~ #58 #58) |
himmelma@35172 | 2590 |
#81 := (~ #55 #55) |
himmelma@35172 | 2591 |
#82 := [refl]: #81 |
himmelma@35172 | 2592 |
#80 := [nnf-pos #82]: #79 |
himmelma@35172 | 2593 |
#16 := (<= #13 #15) |
himmelma@35172 | 2594 |
#14 := (<= #11 #13) |
himmelma@35172 | 2595 |
#17 := (and #14 #16) |
himmelma@35172 | 2596 |
#18 := (forall (vars (?x1 T2)) #17) |
himmelma@35172 | 2597 |
#59 := (iff #18 #58) |
himmelma@35172 | 2598 |
#56 := (iff #17 #55) |
himmelma@35172 | 2599 |
#53 := (iff #16 #52) |
himmelma@35172 | 2600 |
#54 := [rewrite]: #53 |
himmelma@35172 | 2601 |
#48 := (iff #14 #47) |
himmelma@35172 | 2602 |
#49 := [rewrite]: #48 |
himmelma@35172 | 2603 |
#57 := [monotonicity #49 #54]: #56 |
himmelma@35172 | 2604 |
#60 := [quant-intro #57]: #59 |
himmelma@35172 | 2605 |
#41 := [asserted]: #18 |
himmelma@35172 | 2606 |
#61 := [mp #41 #60]: #58 |
himmelma@35172 | 2607 |
#77 := [mp~ #61 #80]: #58 |
himmelma@35172 | 2608 |
#89 := [mp #77 #88]: #86 |
himmelma@35172 | 2609 |
#155 := [mp #89 #154]: #150 |
himmelma@35172 | 2610 |
#187 := (not #150) |
himmelma@35172 | 2611 |
#188 := (or #187 #184) |
himmelma@35172 | 2612 |
#157 := (+ #22 #156) |
himmelma@35172 | 2613 |
#158 := (<= #157 0::real) |
himmelma@35172 | 2614 |
#159 := (not #158) |
himmelma@35172 | 2615 |
#164 := (or #163 #159) |
himmelma@35172 | 2616 |
#165 := (not #164) |
himmelma@35172 | 2617 |
#189 := (or #187 #165) |
himmelma@35172 | 2618 |
#191 := (iff #189 #188) |
himmelma@35172 | 2619 |
#193 := (iff #188 #188) |
himmelma@35172 | 2620 |
#194 := [rewrite]: #193 |
himmelma@35172 | 2621 |
#185 := (iff #165 #184) |
himmelma@35172 | 2622 |
#182 := (iff #164 #181) |
himmelma@35172 | 2623 |
#179 := (iff #159 #178) |
himmelma@35172 | 2624 |
#176 := (iff #158 #173) |
himmelma@35172 | 2625 |
#166 := (+ #156 #22) |
himmelma@35172 | 2626 |
#169 := (<= #166 0::real) |
himmelma@35172 | 2627 |
#174 := (iff #169 #173) |
himmelma@35172 | 2628 |
#175 := [rewrite]: #174 |
himmelma@35172 | 2629 |
#170 := (iff #158 #169) |
himmelma@35172 | 2630 |
#167 := (= #157 #166) |
himmelma@35172 | 2631 |
#168 := [rewrite]: #167 |
himmelma@35172 | 2632 |
#171 := [monotonicity #168]: #170 |
himmelma@35172 | 2633 |
#177 := [trans #171 #175]: #176 |
himmelma@35172 | 2634 |
#180 := [monotonicity #177]: #179 |
himmelma@35172 | 2635 |
#183 := [monotonicity #180]: #182 |
himmelma@35172 | 2636 |
#186 := [monotonicity #183]: #185 |
himmelma@35172 | 2637 |
#192 := [monotonicity #186]: #191 |
himmelma@35172 | 2638 |
#195 := [trans #192 #194]: #191 |
himmelma@35172 | 2639 |
#190 := [quant-inst]: #189 |
himmelma@35172 | 2640 |
#196 := [mp #190 #195]: #188 |
himmelma@35172 | 2641 |
#220 := [unit-resolution #196 #155]: #184 |
himmelma@35172 | 2642 |
#197 := (or #181 #162) |
himmelma@35172 | 2643 |
#198 := [def-axiom]: #197 |
himmelma@35172 | 2644 |
#221 := [unit-resolution #198 #220]: #162 |
himmelma@35172 | 2645 |
#223 := (or #206 #163 #222) |
himmelma@35172 | 2646 |
#224 := [th-lemma]: #223 |
himmelma@35172 | 2647 |
#226 := [unit-resolution #224 #221]: #225 |
himmelma@35172 | 2648 |
#227 := [unit-resolution #226 #219]: #222 |
himmelma@35172 | 2649 |
#199 := (or #181 #173) |
himmelma@35172 | 2650 |
#200 := [def-axiom]: #199 |
himmelma@35172 | 2651 |
#228 := [unit-resolution #200 #220]: #173 |
himmelma@35172 | 2652 |
[th-lemma #228 #227 #211]: false |
himmelma@35172 | 2653 |
unsat |
himmelma@35172 | 2654 |
rbrrQuQfaijtLkQizgEXnQ 222 0 |
himmelma@35172 | 2655 |
#2 := false |
himmelma@35172 | 2656 |
#4 := 0::real |
himmelma@35172 | 2657 |
decl uf_2 :: (-> T2 T1 real) |
himmelma@35172 | 2658 |
decl uf_5 :: T1 |
himmelma@35172 | 2659 |
#15 := uf_5 |
himmelma@35172 | 2660 |
decl uf_3 :: T2 |
himmelma@35172 | 2661 |
#7 := uf_3 |
himmelma@35172 | 2662 |
#20 := (uf_2 uf_3 uf_5) |
himmelma@35172 | 2663 |
decl uf_6 :: T2 |
himmelma@35172 | 2664 |
#17 := uf_6 |
himmelma@35172 | 2665 |
#18 := (uf_2 uf_6 uf_5) |
himmelma@35172 | 2666 |
#59 := -1::real |
himmelma@35172 | 2667 |
#73 := (* -1::real #18) |
himmelma@35172 | 2668 |
#106 := (+ #73 #20) |
himmelma@35172 | 2669 |
decl uf_1 :: real |
himmelma@35172 | 2670 |
#5 := uf_1 |
himmelma@35172 | 2671 |
#78 := (* -1::real #20) |
himmelma@35172 | 2672 |
#79 := (+ #18 #78) |
himmelma@35172 | 2673 |
#144 := (+ uf_1 #79) |
himmelma@35172 | 2674 |
#145 := (<= #144 0::real) |
himmelma@35172 | 2675 |
#148 := (ite #145 uf_1 #106) |
himmelma@35172 | 2676 |
#279 := (* -1::real #148) |
himmelma@35172 | 2677 |
#280 := (+ uf_1 #279) |
himmelma@35172 | 2678 |
#281 := (<= #280 0::real) |
himmelma@35172 | 2679 |
#289 := (not #281) |
himmelma@35172 | 2680 |
#72 := 1/2::real |
himmelma@35172 | 2681 |
#151 := (* 1/2::real #148) |
himmelma@35172 | 2682 |
#248 := (<= #151 0::real) |
himmelma@35172 | 2683 |
#162 := (= #151 0::real) |
himmelma@35172 | 2684 |
#24 := 2::real |
himmelma@35172 | 2685 |
#27 := (- #20 #18) |
himmelma@35172 | 2686 |
#28 := (<= uf_1 #27) |
himmelma@35172 | 2687 |
#29 := (ite #28 uf_1 #27) |
himmelma@35172 | 2688 |
#30 := (/ #29 2::real) |
himmelma@35172 | 2689 |
#31 := (+ #18 #30) |
himmelma@35172 | 2690 |
#32 := (= #31 #18) |
himmelma@35172 | 2691 |
#33 := (not #32) |
himmelma@35172 | 2692 |
#34 := (not #33) |
himmelma@35172 | 2693 |
#165 := (iff #34 #162) |
himmelma@35172 | 2694 |
#109 := (<= uf_1 #106) |
himmelma@35172 | 2695 |
#112 := (ite #109 uf_1 #106) |
himmelma@35172 | 2696 |
#118 := (* 1/2::real #112) |
himmelma@35172 | 2697 |
#123 := (+ #18 #118) |
himmelma@35172 | 2698 |
#129 := (= #18 #123) |
himmelma@35172 | 2699 |
#163 := (iff #129 #162) |
himmelma@35172 | 2700 |
#154 := (+ #18 #151) |
himmelma@35172 | 2701 |
#157 := (= #18 #154) |
himmelma@35172 | 2702 |
#160 := (iff #157 #162) |
himmelma@35172 | 2703 |
#161 := [rewrite]: #160 |
himmelma@35172 | 2704 |
#158 := (iff #129 #157) |
himmelma@35172 | 2705 |
#155 := (= #123 #154) |
himmelma@35172 | 2706 |
#152 := (= #118 #151) |
himmelma@35172 | 2707 |
#149 := (= #112 #148) |
himmelma@35172 | 2708 |
#146 := (iff #109 #145) |
himmelma@35172 | 2709 |
#147 := [rewrite]: #146 |
himmelma@35172 | 2710 |
#150 := [monotonicity #147]: #149 |
himmelma@35172 | 2711 |
#153 := [monotonicity #150]: #152 |
himmelma@35172 | 2712 |
#156 := [monotonicity #153]: #155 |
himmelma@35172 | 2713 |
#159 := [monotonicity #156]: #158 |
himmelma@35172 | 2714 |
#164 := [trans #159 #161]: #163 |
himmelma@35172 | 2715 |
#142 := (iff #34 #129) |
himmelma@35172 | 2716 |
#134 := (not #129) |
himmelma@35172 | 2717 |
#137 := (not #134) |
himmelma@35172 | 2718 |
#140 := (iff #137 #129) |
himmelma@35172 | 2719 |
#141 := [rewrite]: #140 |
himmelma@35172 | 2720 |
#138 := (iff #34 #137) |
himmelma@35172 | 2721 |
#135 := (iff #33 #134) |
himmelma@35172 | 2722 |
#132 := (iff #32 #129) |
himmelma@35172 | 2723 |
#126 := (= #123 #18) |
himmelma@35172 | 2724 |
#130 := (iff #126 #129) |
himmelma@35172 | 2725 |
#131 := [rewrite]: #130 |
himmelma@35172 | 2726 |
#127 := (iff #32 #126) |
himmelma@35172 | 2727 |
#124 := (= #31 #123) |
himmelma@35172 | 2728 |
#121 := (= #30 #118) |
himmelma@35172 | 2729 |
#115 := (/ #112 2::real) |
himmelma@35172 | 2730 |
#119 := (= #115 #118) |
himmelma@35172 | 2731 |
#120 := [rewrite]: #119 |
himmelma@35172 | 2732 |
#116 := (= #30 #115) |
himmelma@35172 | 2733 |
#113 := (= #29 #112) |
himmelma@35172 | 2734 |
#107 := (= #27 #106) |
himmelma@35172 | 2735 |
#108 := [rewrite]: #107 |
himmelma@35172 | 2736 |
#110 := (iff #28 #109) |
himmelma@35172 | 2737 |
#111 := [monotonicity #108]: #110 |
himmelma@35172 | 2738 |
#114 := [monotonicity #111 #108]: #113 |
himmelma@35172 | 2739 |
#117 := [monotonicity #114]: #116 |
himmelma@35172 | 2740 |
#122 := [trans #117 #120]: #121 |
himmelma@35172 | 2741 |
#125 := [monotonicity #122]: #124 |
himmelma@35172 | 2742 |
#128 := [monotonicity #125]: #127 |
himmelma@35172 | 2743 |
#133 := [trans #128 #131]: #132 |
himmelma@35172 | 2744 |
#136 := [monotonicity #133]: #135 |
himmelma@35172 | 2745 |
#139 := [monotonicity #136]: #138 |
himmelma@35172 | 2746 |
#143 := [trans #139 #141]: #142 |
himmelma@35172 | 2747 |
#166 := [trans #143 #164]: #165 |
himmelma@35172 | 2748 |
#105 := [asserted]: #34 |
himmelma@35172 | 2749 |
#167 := [mp #105 #166]: #162 |
himmelma@35172 | 2750 |
#283 := (not #162) |
himmelma@35172 | 2751 |
#284 := (or #283 #248) |
himmelma@35172 | 2752 |
#285 := [th-lemma]: #284 |
himmelma@35172 | 2753 |
#286 := [unit-resolution #285 #167]: #248 |
himmelma@35172 | 2754 |
#287 := [hypothesis]: #281 |
himmelma@35172 | 2755 |
#53 := (<= uf_1 0::real) |
himmelma@35172 | 2756 |
#54 := (not #53) |
himmelma@35172 | 2757 |
#6 := (< 0::real uf_1) |
himmelma@35172 | 2758 |
#55 := (iff #6 #54) |
himmelma@35172 | 2759 |
#56 := [rewrite]: #55 |
himmelma@35172 | 2760 |
#50 := [asserted]: #6 |
himmelma@35172 | 2761 |
#57 := [mp #50 #56]: #54 |
himmelma@35172 | 2762 |
#288 := [th-lemma #57 #287 #286]: false |
himmelma@35172 | 2763 |
#290 := [lemma #288]: #289 |
himmelma@35172 | 2764 |
#241 := (= uf_1 #148) |
himmelma@35172 | 2765 |
#242 := (= #106 #148) |
himmelma@35172 | 2766 |
#299 := (not #242) |
himmelma@35172 | 2767 |
#282 := (+ #106 #279) |
himmelma@35172 | 2768 |
#291 := (<= #282 0::real) |
himmelma@35172 | 2769 |
#296 := (not #291) |
himmelma@35172 | 2770 |
decl uf_4 :: T2 |
himmelma@35172 | 2771 |
#10 := uf_4 |
himmelma@35172 | 2772 |
#16 := (uf_2 uf_4 uf_5) |
himmelma@35172 | 2773 |
#260 := (+ #16 #78) |
himmelma@35172 | 2774 |
#261 := (>= #260 0::real) |
himmelma@35172 | 2775 |
#266 := (not #261) |
himmelma@35172 | 2776 |
#8 := (:var 0 T1) |
himmelma@35172 | 2777 |
#11 := (uf_2 uf_4 #8) |
himmelma@35172 | 2778 |
#234 := (pattern #11) |
himmelma@35172 | 2779 |
#9 := (uf_2 uf_3 #8) |
himmelma@35172 | 2780 |
#233 := (pattern #9) |
himmelma@35172 | 2781 |
#60 := (* -1::real #11) |
himmelma@35172 | 2782 |
#61 := (+ #9 #60) |
himmelma@35172 | 2783 |
#62 := (<= #61 0::real) |
himmelma@35172 | 2784 |
#179 := (not #62) |
himmelma@35172 | 2785 |
#235 := (forall (vars (?x1 T1)) (:pat #233 #234) #179) |
himmelma@35172 | 2786 |
#178 := (forall (vars (?x1 T1)) #179) |
himmelma@35172 | 2787 |
#238 := (iff #178 #235) |
himmelma@35172 | 2788 |
#236 := (iff #179 #179) |
himmelma@35172 | 2789 |
#237 := [refl]: #236 |
himmelma@35172 | 2790 |
#239 := [quant-intro #237]: #238 |
himmelma@35172 | 2791 |
#65 := (exists (vars (?x1 T1)) #62) |
himmelma@35172 | 2792 |
#68 := (not #65) |
himmelma@35172 | 2793 |
#175 := (~ #68 #178) |
himmelma@35172 | 2794 |
#180 := (~ #179 #179) |
himmelma@35172 | 2795 |
#177 := [refl]: #180 |
himmelma@35172 | 2796 |
#176 := [nnf-neg #177]: #175 |
himmelma@35172 | 2797 |
#12 := (<= #9 #11) |
himmelma@35172 | 2798 |
#13 := (exists (vars (?x1 T1)) #12) |
himmelma@35172 | 2799 |
#14 := (not #13) |
himmelma@35172 | 2800 |
#69 := (iff #14 #68) |
himmelma@35172 | 2801 |
#66 := (iff #13 #65) |
himmelma@35172 | 2802 |
#63 := (iff #12 #62) |
himmelma@35172 | 2803 |
#64 := [rewrite]: #63 |
himmelma@35172 | 2804 |
#67 := [quant-intro #64]: #66 |
himmelma@35172 | 2805 |
#70 := [monotonicity #67]: #69 |
himmelma@35172 | 2806 |
#51 := [asserted]: #14 |
himmelma@35172 | 2807 |
#71 := [mp #51 #70]: #68 |
himmelma@35172 | 2808 |
#173 := [mp~ #71 #176]: #178 |
himmelma@35172 | 2809 |
#240 := [mp #173 #239]: #235 |
himmelma@35172 | 2810 |
#269 := (not #235) |
himmelma@35172 | 2811 |
#270 := (or #269 #266) |
himmelma@35172 | 2812 |
#250 := (* -1::real #16) |
himmelma@35172 | 2813 |
#251 := (+ #20 #250) |
himmelma@35172 | 2814 |
#252 := (<= #251 0::real) |
himmelma@35172 | 2815 |
#253 := (not #252) |
himmelma@35172 | 2816 |
#271 := (or #269 #253) |
himmelma@35172 | 2817 |
#273 := (iff #271 #270) |
himmelma@35172 | 2818 |
#275 := (iff #270 #270) |
himmelma@35172 | 2819 |
#276 := [rewrite]: #275 |
himmelma@35172 | 2820 |
#267 := (iff #253 #266) |
himmelma@35172 | 2821 |
#264 := (iff #252 #261) |
himmelma@35172 | 2822 |
#254 := (+ #250 #20) |
himmelma@35172 | 2823 |
#257 := (<= #254 0::real) |
himmelma@35172 | 2824 |
#262 := (iff #257 #261) |
himmelma@35172 | 2825 |
#263 := [rewrite]: #262 |
himmelma@35172 | 2826 |
#258 := (iff #252 #257) |
himmelma@35172 | 2827 |
#255 := (= #251 #254) |
himmelma@35172 | 2828 |
#256 := [rewrite]: #255 |
himmelma@35172 | 2829 |
#259 := [monotonicity #256]: #258 |
himmelma@35172 | 2830 |
#265 := [trans #259 #263]: #264 |
himmelma@35172 | 2831 |
#268 := [monotonicity #265]: #267 |
himmelma@35172 | 2832 |
#274 := [monotonicity #268]: #273 |
himmelma@35172 | 2833 |
#277 := [trans #274 #276]: #273 |
himmelma@35172 | 2834 |
#272 := [quant-inst]: #271 |
himmelma@35172 | 2835 |
#278 := [mp #272 #277]: #270 |
himmelma@35172 | 2836 |
#293 := [unit-resolution #278 #240]: #266 |
himmelma@35172 | 2837 |
#90 := (* 1/2::real #20) |
himmelma@35172 | 2838 |
#102 := (+ #73 #90) |
himmelma@35172 | 2839 |
#89 := (* 1/2::real #16) |
himmelma@35172 | 2840 |
#103 := (+ #89 #102) |
himmelma@35172 | 2841 |
#100 := (>= #103 0::real) |
himmelma@35172 | 2842 |
#23 := (+ #16 #20) |
himmelma@35172 | 2843 |
#25 := (/ #23 2::real) |
himmelma@35172 | 2844 |
#26 := (<= #18 #25) |
himmelma@35172 | 2845 |
#98 := (iff #26 #100) |
himmelma@35172 | 2846 |
#91 := (+ #89 #90) |
himmelma@35172 | 2847 |
#94 := (<= #18 #91) |
himmelma@35172 | 2848 |
#97 := (iff #94 #100) |
himmelma@35172 | 2849 |
#99 := [rewrite]: #97 |
himmelma@35172 | 2850 |
#95 := (iff #26 #94) |
himmelma@35172 | 2851 |
#92 := (= #25 #91) |
himmelma@35172 | 2852 |
#93 := [rewrite]: #92 |
himmelma@35172 | 2853 |
#96 := [monotonicity #93]: #95 |
himmelma@35172 | 2854 |
#101 := [trans #96 #99]: #98 |
himmelma@35172 | 2855 |
#58 := [asserted]: #26 |
himmelma@35172 | 2856 |
#104 := [mp #58 #101]: #100 |
himmelma@35172 | 2857 |
#294 := [hypothesis]: #291 |
himmelma@35172 | 2858 |
#295 := [th-lemma #294 #104 #293 #286]: false |
himmelma@35172 | 2859 |
#297 := [lemma #295]: #296 |
himmelma@35172 | 2860 |
#298 := [hypothesis]: #242 |
himmelma@35172 | 2861 |
#300 := (or #299 #291) |
himmelma@35172 | 2862 |
#301 := [th-lemma]: #300 |
himmelma@35172 | 2863 |
#302 := [unit-resolution #301 #298 #297]: false |
himmelma@35172 | 2864 |
#303 := [lemma #302]: #299 |
himmelma@35172 | 2865 |
#246 := (or #145 #242) |
himmelma@35172 | 2866 |
#247 := [def-axiom]: #246 |
himmelma@35172 | 2867 |
#304 := [unit-resolution #247 #303]: #145 |
himmelma@35172 | 2868 |
#243 := (not #145) |
himmelma@35172 | 2869 |
#244 := (or #243 #241) |
himmelma@35172 | 2870 |
#245 := [def-axiom]: #244 |
himmelma@35172 | 2871 |
#305 := [unit-resolution #245 #304]: #241 |
himmelma@35172 | 2872 |
#306 := (not #241) |
himmelma@35172 | 2873 |
#307 := (or #306 #281) |
himmelma@35172 | 2874 |
#308 := [th-lemma]: #307 |
himmelma@35172 | 2875 |
[unit-resolution #308 #305 #290]: false |
himmelma@35172 | 2876 |
unsat |
himmelma@35172 | 2877 |
hwh3oeLAWt56hnKIa8Wuow 248 0 |
himmelma@35172 | 2878 |
#2 := false |
himmelma@35172 | 2879 |
#4 := 0::real |
himmelma@35172 | 2880 |
decl uf_2 :: (-> T2 T1 real) |
himmelma@35172 | 2881 |
decl uf_5 :: T1 |
himmelma@35172 | 2882 |
#15 := uf_5 |
himmelma@35172 | 2883 |
decl uf_6 :: T2 |
himmelma@35172 | 2884 |
#17 := uf_6 |
himmelma@35172 | 2885 |
#18 := (uf_2 uf_6 uf_5) |
himmelma@35172 | 2886 |
decl uf_4 :: T2 |
himmelma@35172 | 2887 |
#10 := uf_4 |
himmelma@35172 | 2888 |
#16 := (uf_2 uf_4 uf_5) |
himmelma@35172 | 2889 |
#66 := -1::real |
himmelma@35172 | 2890 |
#137 := (* -1::real #16) |
himmelma@35172 | 2891 |
#138 := (+ #137 #18) |
himmelma@35172 | 2892 |
decl uf_1 :: real |
himmelma@35172 | 2893 |
#5 := uf_1 |
himmelma@35172 | 2894 |
#80 := (* -1::real #18) |
himmelma@35172 | 2895 |
#81 := (+ #16 #80) |
himmelma@35172 | 2896 |
#201 := (+ uf_1 #81) |
himmelma@35172 | 2897 |
#202 := (<= #201 0::real) |
himmelma@35172 | 2898 |
#205 := (ite #202 uf_1 #138) |
himmelma@35172 | 2899 |
#352 := (* -1::real #205) |
himmelma@35172 | 2900 |
#353 := (+ uf_1 #352) |
himmelma@35172 | 2901 |
#354 := (<= #353 0::real) |
himmelma@35172 | 2902 |
#362 := (not #354) |
himmelma@35172 | 2903 |
#79 := 1/2::real |
himmelma@35172 | 2904 |
#244 := (* 1/2::real #205) |
himmelma@35172 | 2905 |
#322 := (<= #244 0::real) |
himmelma@35172 | 2906 |
#245 := (= #244 0::real) |
himmelma@35172 | 2907 |
#158 := -1/2::real |
himmelma@35172 | 2908 |
#208 := (* -1/2::real #205) |
himmelma@35172 | 2909 |
#211 := (+ #18 #208) |
himmelma@35172 | 2910 |
decl uf_3 :: T2 |
himmelma@35172 | 2911 |
#7 := uf_3 |
himmelma@35172 | 2912 |
#20 := (uf_2 uf_3 uf_5) |
himmelma@35172 | 2913 |
#117 := (+ #80 #20) |
himmelma@35172 | 2914 |
#85 := (* -1::real #20) |
himmelma@35172 | 2915 |
#86 := (+ #18 #85) |
himmelma@35172 | 2916 |
#188 := (+ uf_1 #86) |
himmelma@35172 | 2917 |
#189 := (<= #188 0::real) |
himmelma@35172 | 2918 |
#192 := (ite #189 uf_1 #117) |
himmelma@35172 | 2919 |
#195 := (* 1/2::real #192) |
himmelma@35172 | 2920 |
#198 := (+ #18 #195) |
himmelma@35172 | 2921 |
#97 := (* 1/2::real #20) |
himmelma@35172 | 2922 |
#109 := (+ #80 #97) |
himmelma@35172 | 2923 |
#96 := (* 1/2::real #16) |
himmelma@35172 | 2924 |
#110 := (+ #96 #109) |
himmelma@35172 | 2925 |
#107 := (>= #110 0::real) |
himmelma@35172 | 2926 |
#214 := (ite #107 #198 #211) |
himmelma@35172 | 2927 |
#217 := (= #18 #214) |
himmelma@35172 | 2928 |
#248 := (iff #217 #245) |
himmelma@35172 | 2929 |
#241 := (= #18 #211) |
himmelma@35172 | 2930 |
#246 := (iff #241 #245) |
himmelma@35172 | 2931 |
#247 := [rewrite]: #246 |
himmelma@35172 | 2932 |
#242 := (iff #217 #241) |
himmelma@35172 | 2933 |
#239 := (= #214 #211) |
himmelma@35172 | 2934 |
#234 := (ite false #198 #211) |
himmelma@35172 | 2935 |
#237 := (= #234 #211) |
himmelma@35172 | 2936 |
#238 := [rewrite]: #237 |
himmelma@35172 | 2937 |
#235 := (= #214 #234) |
himmelma@35172 | 2938 |
#232 := (iff #107 false) |
himmelma@35172 | 2939 |
#104 := (not #107) |
himmelma@35172 | 2940 |
#24 := 2::real |
himmelma@35172 | 2941 |
#23 := (+ #16 #20) |
himmelma@35172 | 2942 |
#25 := (/ #23 2::real) |
himmelma@35172 | 2943 |
#26 := (< #25 #18) |
himmelma@35172 | 2944 |
#108 := (iff #26 #104) |
himmelma@35172 | 2945 |
#98 := (+ #96 #97) |
himmelma@35172 | 2946 |
#101 := (< #98 #18) |
himmelma@35172 | 2947 |
#106 := (iff #101 #104) |
himmelma@35172 | 2948 |
#105 := [rewrite]: #106 |
himmelma@35172 | 2949 |
#102 := (iff #26 #101) |
himmelma@35172 | 2950 |
#99 := (= #25 #98) |
himmelma@35172 | 2951 |
#100 := [rewrite]: #99 |
himmelma@35172 | 2952 |
#103 := [monotonicity #100]: #102 |
himmelma@35172 | 2953 |
#111 := [trans #103 #105]: #108 |
himmelma@35172 | 2954 |
#65 := [asserted]: #26 |
himmelma@35172 | 2955 |
#112 := [mp #65 #111]: #104 |
himmelma@35172 | 2956 |
#233 := [iff-false #112]: #232 |
himmelma@35172 | 2957 |
#236 := [monotonicity #233]: #235 |
himmelma@35172 | 2958 |
#240 := [trans #236 #238]: #239 |
himmelma@35172 | 2959 |
#243 := [monotonicity #240]: #242 |
himmelma@35172 | 2960 |
#249 := [trans #243 #247]: #248 |
himmelma@35172 | 2961 |
#33 := (- #18 #16) |
himmelma@35172 | 2962 |
#34 := (<= uf_1 #33) |
himmelma@35172 | 2963 |
#35 := (ite #34 uf_1 #33) |
himmelma@35172 | 2964 |
#36 := (/ #35 2::real) |
himmelma@35172 | 2965 |
#37 := (- #18 #36) |
himmelma@35172 | 2966 |
#28 := (- #20 #18) |
himmelma@35172 | 2967 |
#29 := (<= uf_1 #28) |
himmelma@35172 | 2968 |
#30 := (ite #29 uf_1 #28) |
himmelma@35172 | 2969 |
#31 := (/ #30 2::real) |
himmelma@35172 | 2970 |
#32 := (+ #18 #31) |
himmelma@35172 | 2971 |
#27 := (<= #18 #25) |
himmelma@35172 | 2972 |
#38 := (ite #27 #32 #37) |
himmelma@35172 | 2973 |
#39 := (= #38 #18) |
himmelma@35172 | 2974 |
#40 := (not #39) |
himmelma@35172 | 2975 |
#41 := (not #40) |
himmelma@35172 | 2976 |
#220 := (iff #41 #217) |
himmelma@35172 | 2977 |
#141 := (<= uf_1 #138) |
himmelma@35172 | 2978 |
#144 := (ite #141 uf_1 #138) |
himmelma@35172 | 2979 |
#159 := (* -1/2::real #144) |
himmelma@35172 | 2980 |
#160 := (+ #18 #159) |
himmelma@35172 | 2981 |
#120 := (<= uf_1 #117) |
himmelma@35172 | 2982 |
#123 := (ite #120 uf_1 #117) |
himmelma@35172 | 2983 |
#129 := (* 1/2::real #123) |
himmelma@35172 | 2984 |
#134 := (+ #18 #129) |
himmelma@35172 | 2985 |
#114 := (<= #18 #98) |
himmelma@35172 | 2986 |
#165 := (ite #114 #134 #160) |
himmelma@35172 | 2987 |
#171 := (= #18 #165) |
himmelma@35172 | 2988 |
#218 := (iff #171 #217) |
himmelma@35172 | 2989 |
#215 := (= #165 #214) |
himmelma@35172 | 2990 |
#212 := (= #160 #211) |
himmelma@35172 | 2991 |
#209 := (= #159 #208) |
himmelma@35172 | 2992 |
#206 := (= #144 #205) |
himmelma@35172 | 2993 |
#203 := (iff #141 #202) |
himmelma@35172 | 2994 |
#204 := [rewrite]: #203 |
himmelma@35172 | 2995 |
#207 := [monotonicity #204]: #206 |
himmelma@35172 | 2996 |
#210 := [monotonicity #207]: #209 |
himmelma@35172 | 2997 |
#213 := [monotonicity #210]: #212 |
himmelma@35172 | 2998 |
#199 := (= #134 #198) |
himmelma@35172 | 2999 |
#196 := (= #129 #195) |
himmelma@35172 | 3000 |
#193 := (= #123 #192) |
himmelma@35172 | 3001 |
#190 := (iff #120 #189) |
himmelma@35172 | 3002 |
#191 := [rewrite]: #190 |
himmelma@35172 | 3003 |
#194 := [monotonicity #191]: #193 |
himmelma@35172 | 3004 |
#197 := [monotonicity #194]: #196 |
himmelma@35172 | 3005 |
#200 := [monotonicity #197]: #199 |
himmelma@35172 | 3006 |
#187 := (iff #114 #107) |
himmelma@35172 | 3007 |
#186 := [rewrite]: #187 |
himmelma@35172 | 3008 |
#216 := [monotonicity #186 #200 #213]: #215 |
himmelma@35172 | 3009 |
#219 := [monotonicity #216]: #218 |
himmelma@35172 | 3010 |
#184 := (iff #41 #171) |
himmelma@35172 | 3011 |
#176 := (not #171) |
himmelma@35172 | 3012 |
#179 := (not #176) |
himmelma@35172 | 3013 |
#182 := (iff #179 #171) |
himmelma@35172 | 3014 |
#183 := [rewrite]: #182 |
himmelma@35172 | 3015 |
#180 := (iff #41 #179) |
himmelma@35172 | 3016 |
#177 := (iff #40 #176) |
himmelma@35172 | 3017 |
#174 := (iff #39 #171) |
himmelma@35172 | 3018 |
#168 := (= #165 #18) |
himmelma@35172 | 3019 |
#172 := (iff #168 #171) |
himmelma@35172 | 3020 |
#173 := [rewrite]: #172 |
himmelma@35172 | 3021 |
#169 := (iff #39 #168) |
himmelma@35172 | 3022 |
#166 := (= #38 #165) |
himmelma@35172 | 3023 |
#163 := (= #37 #160) |
himmelma@35172 | 3024 |
#150 := (* 1/2::real #144) |
himmelma@35172 | 3025 |
#155 := (- #18 #150) |
himmelma@35172 | 3026 |
#161 := (= #155 #160) |
himmelma@35172 | 3027 |
#162 := [rewrite]: #161 |
himmelma@35172 | 3028 |
#156 := (= #37 #155) |
himmelma@35172 | 3029 |
#153 := (= #36 #150) |
himmelma@35172 | 3030 |
#147 := (/ #144 2::real) |
himmelma@35172 | 3031 |
#151 := (= #147 #150) |
himmelma@35172 | 3032 |
#152 := [rewrite]: #151 |
himmelma@35172 | 3033 |
#148 := (= #36 #147) |
himmelma@35172 | 3034 |
#145 := (= #35 #144) |
himmelma@35172 | 3035 |
#139 := (= #33 #138) |
himmelma@35172 | 3036 |
#140 := [rewrite]: #139 |
himmelma@35172 | 3037 |
#142 := (iff #34 #141) |
himmelma@35172 | 3038 |
#143 := [monotonicity #140]: #142 |
himmelma@35172 | 3039 |
#146 := [monotonicity #143 #140]: #145 |
himmelma@35172 | 3040 |
#149 := [monotonicity #146]: #148 |
himmelma@35172 | 3041 |
#154 := [trans #149 #152]: #153 |
himmelma@35172 | 3042 |
#157 := [monotonicity #154]: #156 |
himmelma@35172 | 3043 |
#164 := [trans #157 #162]: #163 |
himmelma@35172 | 3044 |
#135 := (= #32 #134) |
himmelma@35172 | 3045 |
#132 := (= #31 #129) |
himmelma@35172 | 3046 |
#126 := (/ #123 2::real) |
himmelma@35172 | 3047 |
#130 := (= #126 #129) |
himmelma@35172 | 3048 |
#131 := [rewrite]: #130 |
himmelma@35172 | 3049 |
#127 := (= #31 #126) |
himmelma@35172 | 3050 |
#124 := (= #30 #123) |
himmelma@35172 | 3051 |
#118 := (= #28 #117) |
himmelma@35172 | 3052 |
#119 := [rewrite]: #118 |
himmelma@35172 | 3053 |
#121 := (iff #29 #120) |
himmelma@35172 | 3054 |
#122 := [monotonicity #119]: #121 |
himmelma@35172 | 3055 |
#125 := [monotonicity #122 #119]: #124 |
himmelma@35172 | 3056 |
#128 := [monotonicity #125]: #127 |
himmelma@35172 | 3057 |
#133 := [trans #128 #131]: #132 |
himmelma@35172 | 3058 |
#136 := [monotonicity #133]: #135 |
himmelma@35172 | 3059 |
#115 := (iff #27 #114) |
himmelma@35172 | 3060 |
#116 := [monotonicity #100]: #115 |
himmelma@35172 | 3061 |
#167 := [monotonicity #116 #136 #164]: #166 |
himmelma@35172 | 3062 |
#170 := [monotonicity #167]: #169 |
himmelma@35172 | 3063 |
#175 := [trans #170 #173]: #174 |
himmelma@35172 | 3064 |
#178 := [monotonicity #175]: #177 |
himmelma@35172 | 3065 |
#181 := [monotonicity #178]: #180 |
himmelma@35172 | 3066 |
#185 := [trans #181 #183]: #184 |
himmelma@35172 | 3067 |
#221 := [trans #185 #219]: #220 |
himmelma@35172 | 3068 |
#113 := [asserted]: #41 |
himmelma@35172 | 3069 |
#222 := [mp #113 #221]: #217 |
himmelma@35172 | 3070 |
#250 := [mp #222 #249]: #245 |
himmelma@35172 | 3071 |
#356 := (not #245) |
himmelma@35172 | 3072 |
#357 := (or #356 #322) |
himmelma@35172 | 3073 |
#358 := [th-lemma]: #357 |
himmelma@35172 | 3074 |
#359 := [unit-resolution #358 #250]: #322 |
himmelma@35172 | 3075 |
#360 := [hypothesis]: #354 |
himmelma@35172 | 3076 |
#60 := (<= uf_1 0::real) |
himmelma@35172 | 3077 |
#61 := (not #60) |
himmelma@35172 | 3078 |
#6 := (< 0::real uf_1) |
himmelma@35172 | 3079 |
#62 := (iff #6 #61) |
himmelma@35172 | 3080 |
#63 := [rewrite]: #62 |
himmelma@35172 | 3081 |
#57 := [asserted]: #6 |
himmelma@35172 | 3082 |
#64 := [mp #57 #63]: #61 |
himmelma@35172 | 3083 |
#361 := [th-lemma #64 #360 #359]: false |
himmelma@35172 | 3084 |
#363 := [lemma #361]: #362 |
himmelma@35172 | 3085 |
#315 := (= uf_1 #205) |
himmelma@35172 | 3086 |
#316 := (= #138 #205) |
himmelma@35172 | 3087 |
#371 := (not #316) |
himmelma@35172 | 3088 |
#355 := (+ #138 #352) |
himmelma@35172 | 3089 |
#364 := (<= #355 0::real) |
himmelma@35172 | 3090 |
#368 := (not #364) |
himmelma@35172 | 3091 |
#87 := (<= #86 0::real) |
himmelma@35172 | 3092 |
#82 := (<= #81 0::real) |
himmelma@35172 | 3093 |
#90 := (and #82 #87) |
himmelma@35172 | 3094 |
#21 := (<= #18 #20) |
himmelma@35172 | 3095 |
#19 := (<= #16 #18) |
himmelma@35172 | 3096 |
#22 := (and #19 #21) |
himmelma@35172 | 3097 |
#91 := (iff #22 #90) |
himmelma@35172 | 3098 |
#88 := (iff #21 #87) |
himmelma@35172 | 3099 |
#89 := [rewrite]: #88 |
himmelma@35172 | 3100 |
#83 := (iff #19 #82) |
himmelma@35172 | 3101 |
#84 := [rewrite]: #83 |
himmelma@35172 | 3102 |
#92 := [monotonicity #84 #89]: #91 |
himmelma@35172 | 3103 |
#59 := [asserted]: #22 |
himmelma@35172 | 3104 |
#93 := [mp #59 #92]: #90 |
himmelma@35172 | 3105 |
#95 := [and-elim #93]: #87 |
himmelma@35172 | 3106 |
#366 := [hypothesis]: #364 |
himmelma@35172 | 3107 |
#367 := [th-lemma #366 #95 #112 #359]: false |
himmelma@35172 | 3108 |
#369 := [lemma #367]: #368 |
himmelma@35172 | 3109 |
#370 := [hypothesis]: #316 |
himmelma@35172 | 3110 |
#372 := (or #371 #364) |
himmelma@35172 | 3111 |
#373 := [th-lemma]: #372 |
himmelma@35172 | 3112 |
#374 := [unit-resolution #373 #370 #369]: false |
himmelma@35172 | 3113 |
#375 := [lemma #374]: #371 |
himmelma@35172 | 3114 |
#320 := (or #202 #316) |
himmelma@35172 | 3115 |
#321 := [def-axiom]: #320 |
himmelma@35172 | 3116 |
#376 := [unit-resolution #321 #375]: #202 |
himmelma@35172 | 3117 |
#317 := (not #202) |
himmelma@35172 | 3118 |
#318 := (or #317 #315) |
himmelma@35172 | 3119 |
#319 := [def-axiom]: #318 |
himmelma@35172 | 3120 |
#377 := [unit-resolution #319 #376]: #315 |
himmelma@35172 | 3121 |
#378 := (not #315) |
himmelma@35172 | 3122 |
#379 := (or #378 #354) |
himmelma@35172 | 3123 |
#380 := [th-lemma]: #379 |
himmelma@35172 | 3124 |
[unit-resolution #380 #377 #363]: false |
himmelma@35172 | 3125 |
unsat |
himmelma@35172 | 3126 |
WdMJH3tkMv/rps8y9Ukq5Q 86 0 |
himmelma@35172 | 3127 |
#2 := false |
himmelma@35172 | 3128 |
#37 := 0::real |
himmelma@35172 | 3129 |
decl uf_2 :: (-> T2 T1 real) |
himmelma@35172 | 3130 |
decl uf_4 :: T1 |
himmelma@35172 | 3131 |
#12 := uf_4 |
himmelma@35172 | 3132 |
decl uf_3 :: T2 |
himmelma@35172 | 3133 |
#5 := uf_3 |
himmelma@35172 | 3134 |
#13 := (uf_2 uf_3 uf_4) |
himmelma@35172 | 3135 |
#34 := -1::real |
himmelma@35172 | 3136 |
#140 := (* -1::real #13) |
himmelma@35172 | 3137 |
decl uf_1 :: real |
himmelma@35172 | 3138 |
#4 := uf_1 |
himmelma@35172 | 3139 |
#141 := (+ uf_1 #140) |
himmelma@35172 | 3140 |
#143 := (>= #141 0::real) |
himmelma@35172 | 3141 |
#6 := (:var 0 T1) |
himmelma@35172 | 3142 |
#7 := (uf_2 uf_3 #6) |
himmelma@35172 | 3143 |
#127 := (pattern #7) |
himmelma@35172 | 3144 |
#35 := (* -1::real #7) |
himmelma@35172 | 3145 |
#36 := (+ uf_1 #35) |
himmelma@35172 | 3146 |
#47 := (>= #36 0::real) |
himmelma@35172 | 3147 |
#134 := (forall (vars (?x2 T1)) (:pat #127) #47) |
himmelma@35172 | 3148 |
#49 := (forall (vars (?x2 T1)) #47) |
himmelma@35172 | 3149 |
#137 := (iff #49 #134) |
himmelma@35172 | 3150 |
#135 := (iff #47 #47) |
himmelma@35172 | 3151 |
#136 := [refl]: #135 |
himmelma@35172 | 3152 |
#138 := [quant-intro #136]: #137 |
himmelma@35172 | 3153 |
#67 := (~ #49 #49) |
himmelma@35172 | 3154 |
#58 := (~ #47 #47) |
himmelma@35172 | 3155 |
#66 := [refl]: #58 |
himmelma@35172 | 3156 |
#68 := [nnf-pos #66]: #67 |
himmelma@35172 | 3157 |
#10 := (<= #7 uf_1) |
himmelma@35172 | 3158 |
#11 := (forall (vars (?x2 T1)) #10) |
himmelma@35172 | 3159 |
#50 := (iff #11 #49) |
himmelma@35172 | 3160 |
#46 := (iff #10 #47) |
himmelma@35172 | 3161 |
#48 := [rewrite]: #46 |
himmelma@35172 | 3162 |
#51 := [quant-intro #48]: #50 |
himmelma@35172 | 3163 |
#32 := [asserted]: #11 |
himmelma@35172 | 3164 |
#52 := [mp #32 #51]: #49 |
himmelma@35172 | 3165 |
#69 := [mp~ #52 #68]: #49 |
himmelma@35172 | 3166 |
#139 := [mp #69 #138]: #134 |
himmelma@35172 | 3167 |
#149 := (not #134) |
himmelma@35172 | 3168 |
#150 := (or #149 #143) |
himmelma@35172 | 3169 |
#151 := [quant-inst]: #150 |
himmelma@35172 | 3170 |
#144 := [unit-resolution #151 #139]: #143 |
himmelma@35172 | 3171 |
#142 := (<= #141 0::real) |
himmelma@35172 | 3172 |
#38 := (<= #36 0::real) |
himmelma@35172 | 3173 |
#128 := (forall (vars (?x1 T1)) (:pat #127) #38) |
himmelma@35172 | 3174 |
#41 := (forall (vars (?x1 T1)) #38) |
himmelma@35172 | 3175 |
#131 := (iff #41 #128) |
himmelma@35172 | 3176 |
#129 := (iff #38 #38) |
himmelma@35172 | 3177 |
#130 := [refl]: #129 |
himmelma@35172 | 3178 |
#132 := [quant-intro #130]: #131 |
himmelma@35172 | 3179 |
#62 := (~ #41 #41) |
himmelma@35172 | 3180 |
#64 := (~ #38 #38) |
himmelma@35172 | 3181 |
#65 := [refl]: #64 |
himmelma@35172 | 3182 |
#63 := [nnf-pos #65]: #62 |
himmelma@35172 | 3183 |
#8 := (<= uf_1 #7) |
himmelma@35172 | 3184 |
#9 := (forall (vars (?x1 T1)) #8) |
himmelma@35172 | 3185 |
#42 := (iff #9 #41) |
himmelma@35172 | 3186 |
#39 := (iff #8 #38) |
himmelma@35172 | 3187 |
#40 := [rewrite]: #39 |
himmelma@35172 | 3188 |
#43 := [quant-intro #40]: #42 |
himmelma@35172 | 3189 |
#31 := [asserted]: #9 |
himmelma@35172 | 3190 |
#44 := [mp #31 #43]: #41 |
himmelma@35172 | 3191 |
#61 := [mp~ #44 #63]: #41 |
himmelma@35172 | 3192 |
#133 := [mp #61 #132]: #128 |
himmelma@35172 | 3193 |
#145 := (not #128) |
himmelma@35172 | 3194 |
#146 := (or #145 #142) |
himmelma@35172 | 3195 |
#147 := [quant-inst]: #146 |
himmelma@35172 | 3196 |
#148 := [unit-resolution #147 #133]: #142 |
himmelma@35172 | 3197 |
#45 := (= uf_1 #13) |
himmelma@35172 | 3198 |
#55 := (not #45) |
himmelma@35172 | 3199 |
#14 := (= #13 uf_1) |
himmelma@35172 | 3200 |
#15 := (not #14) |
himmelma@35172 | 3201 |
#56 := (iff #15 #55) |
himmelma@35172 | 3202 |
#53 := (iff #14 #45) |
himmelma@35172 | 3203 |
#54 := [rewrite]: #53 |
himmelma@35172 | 3204 |
#57 := [monotonicity #54]: #56 |
himmelma@35172 | 3205 |
#33 := [asserted]: #15 |
himmelma@35172 | 3206 |
#60 := [mp #33 #57]: #55 |
himmelma@35172 | 3207 |
#153 := (not #143) |
himmelma@35172 | 3208 |
#152 := (not #142) |
himmelma@35172 | 3209 |
#154 := (or #45 #152 #153) |
himmelma@35172 | 3210 |
#155 := [th-lemma]: #154 |
himmelma@35172 | 3211 |
[unit-resolution #155 #60 #148 #144]: false |
himmelma@35172 | 3212 |
unsat |
himmelma@35172 | 3213 |
V+IAyBZU/6QjYs6JkXx8LQ 57 0 |
himmelma@35172 | 3214 |
#2 := false |
himmelma@35172 | 3215 |
#4 := 0::real |
himmelma@35172 | 3216 |
decl uf_1 :: (-> T2 real) |
himmelma@35172 | 3217 |
decl uf_2 :: (-> T1 T1 T2) |
himmelma@35172 | 3218 |
decl uf_12 :: (-> T4 T1) |
himmelma@35172 | 3219 |
decl uf_4 :: T4 |
himmelma@35172 | 3220 |
#11 := uf_4 |
himmelma@35172 | 3221 |
#39 := (uf_12 uf_4) |
himmelma@35172 | 3222 |
decl uf_10 :: T4 |
himmelma@35172 | 3223 |
#27 := uf_10 |
himmelma@35172 | 3224 |
#38 := (uf_12 uf_10) |
himmelma@35172 | 3225 |
#40 := (uf_2 #38 #39) |
himmelma@35172 | 3226 |
#41 := (uf_1 #40) |
himmelma@35172 | 3227 |
#264 := (>= #41 0::real) |
himmelma@35172 | 3228 |
#266 := (not #264) |
himmelma@35172 | 3229 |
#43 := (= #41 0::real) |
himmelma@35172 | 3230 |
#44 := (not #43) |
himmelma@35172 | 3231 |
#131 := [asserted]: #44 |
himmelma@35172 | 3232 |
#272 := (or #43 #266) |
himmelma@35172 | 3233 |
#42 := (<= #41 0::real) |
himmelma@35172 | 3234 |
#130 := [asserted]: #42 |
himmelma@35172 | 3235 |
#265 := (not #42) |
himmelma@35172 | 3236 |
#270 := (or #43 #265 #266) |
himmelma@35172 | 3237 |
#271 := [th-lemma]: #270 |
himmelma@35172 | 3238 |
#273 := [unit-resolution #271 #130]: #272 |
himmelma@35172 | 3239 |
#274 := [unit-resolution #273 #131]: #266 |
himmelma@35172 | 3240 |
#6 := (:var 0 T1) |
himmelma@35172 | 3241 |
#5 := (:var 1 T1) |
himmelma@35172 | 3242 |
#7 := (uf_2 #5 #6) |
himmelma@35172 | 3243 |
#241 := (pattern #7) |
himmelma@35172 | 3244 |
#8 := (uf_1 #7) |
himmelma@35172 | 3245 |
#65 := (>= #8 0::real) |
himmelma@35172 | 3246 |
#242 := (forall (vars (?x1 T1) (?x2 T1)) (:pat #241) #65) |
himmelma@35172 | 3247 |
#66 := (forall (vars (?x1 T1) (?x2 T1)) #65) |
himmelma@35172 | 3248 |
#245 := (iff #66 #242) |
himmelma@35172 | 3249 |
#243 := (iff #65 #65) |
himmelma@35172 | 3250 |
#244 := [refl]: #243 |
himmelma@35172 | 3251 |
#246 := [quant-intro #244]: #245 |
himmelma@35172 | 3252 |
#149 := (~ #66 #66) |
himmelma@35172 | 3253 |
#151 := (~ #65 #65) |
himmelma@35172 | 3254 |
#152 := [refl]: #151 |
himmelma@35172 | 3255 |
#150 := [nnf-pos #152]: #149 |
himmelma@35172 | 3256 |
#9 := (<= 0::real #8) |
himmelma@35172 | 3257 |
#10 := (forall (vars (?x1 T1) (?x2 T1)) #9) |
himmelma@35172 | 3258 |
#67 := (iff #10 #66) |
himmelma@35172 | 3259 |
#63 := (iff #9 #65) |
himmelma@35172 | 3260 |
#64 := [rewrite]: #63 |
himmelma@35172 | 3261 |
#68 := [quant-intro #64]: #67 |
himmelma@35172 | 3262 |
#60 := [asserted]: #10 |
himmelma@35172 | 3263 |
#69 := [mp #60 #68]: #66 |
himmelma@35172 | 3264 |
#147 := [mp~ #69 #150]: #66 |
himmelma@35172 | 3265 |
#247 := [mp #147 #246]: #242 |
himmelma@35172 | 3266 |
#267 := (not #242) |
himmelma@35172 | 3267 |
#268 := (or #267 #264) |
himmelma@35172 | 3268 |
#269 := [quant-inst]: #268 |
himmelma@35172 | 3269 |
[unit-resolution #269 #247 #274]: false |
himmelma@35172 | 3270 |
unsat |