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1 #2 := false |
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2 #4 := 0::int |
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3 decl uf_3 :: (-> int int) |
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4 decl ?x3!1 :: int |
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5 #1188 := ?x3!1 |
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6 #1195 := (uf_3 ?x3!1) |
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7 #760 := -1::int |
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8 #1381 := (* -1::int #1195) |
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9 decl uf_4 :: int |
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10 #25 := uf_4 |
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11 #39 := (uf_3 uf_4) |
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12 #2763 := (+ #39 #1381) |
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13 #2765 := (>= #2763 0::int) |
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14 #2762 := (= #39 #1195) |
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15 #2631 := (= uf_4 ?x3!1) |
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16 #1394 := (* -1::int ?x3!1) |
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17 #2564 := (+ uf_4 #1394) |
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18 #2628 := (>= #2564 0::int) |
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19 decl uf_9 :: int |
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20 #47 := uf_9 |
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21 #806 := (* -1::int uf_9) |
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22 #838 := (+ uf_4 #806) |
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23 #1977 := (>= #838 -1::int) |
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24 #837 := (= #838 -1::int) |
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25 #1395 := (+ uf_9 #1394) |
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26 #1396 := (<= #1395 0::int) |
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27 decl uf_8 :: int |
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28 #43 := uf_8 |
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29 #1382 := (+ uf_8 #1381) |
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30 #1383 := (>= #1382 0::int) |
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31 #1192 := (>= ?x3!1 0::int) |
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32 #1625 := (not #1192) |
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33 #1640 := (or #1625 #1383 #1396) |
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34 #1645 := (not #1640) |
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35 #16 := (:var 0 int) |
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36 #20 := (uf_3 #16) |
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37 #2303 := (pattern #20) |
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38 #807 := (+ #16 #806) |
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39 #805 := (>= #807 0::int) |
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40 #799 := (* -1::int uf_8) |
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41 #800 := (+ #20 #799) |
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42 #801 := (<= #800 0::int) |
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43 #753 := (>= #16 0::int) |
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44 #1548 := (not #753) |
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45 #1607 := (or #1548 #801 #805) |
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46 #2320 := (forall (vars (?x3 int)) (:pat #2303) #1607) |
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47 #2325 := (not #2320) |
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48 decl uf_7 :: int |
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49 #41 := uf_7 |
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50 #58 := (uf_3 uf_7) |
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51 #221 := (= uf_8 #58) |
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52 #2328 := (or #221 #2325) |
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53 #2331 := (not #2328) |
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54 #2334 := (or #2331 #1645) |
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55 #2337 := (not #2334) |
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56 #851 := (* -1::int #39) |
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57 decl uf_6 :: int |
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58 #32 := uf_6 |
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59 #852 := (+ uf_6 #851) |
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60 #850 := (>= #852 0::int) |
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61 #840 := (not #837) |
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62 #50 := 2::int |
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63 #791 := (>= uf_9 2::int) |
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64 #1656 := (not #791) |
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65 #788 := (>= uf_7 0::int) |
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66 #1655 := (not #788) |
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67 decl uf_5 :: int |
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68 #27 := uf_5 |
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69 #779 := (>= uf_5 0::int) |
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70 #1654 := (not #779) |
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71 #10 := 1::int |
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72 #776 := (>= uf_4 1::int) |
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73 #886 := (not #776) |
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74 #361 := (= uf_4 uf_7) |
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75 #376 := (not #361) |
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76 decl uf_10 :: int |
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77 #78 := uf_10 |
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78 #356 := (= #39 uf_10) |
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79 #401 := (not #356) |
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80 #82 := (= uf_8 uf_10) |
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81 #367 := (not #82) |
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82 #2346 := (or #367 #401 #376 #886 #1654 #1655 #1656 #840 #850 #2337) |
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83 #2349 := (not #2346) |
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84 #854 := (not #850) |
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85 #194 := (= uf_6 uf_8) |
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86 #301 := (not #194) |
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87 #191 := (= uf_5 uf_7) |
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88 #310 := (not #191) |
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89 #2340 := (or #310 #301 #886 #1654 #1655 #1656 #840 #854 #2337) |
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90 #2343 := (not #2340) |
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91 #2352 := (or #2343 #2349) |
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92 #2355 := (not #2352) |
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93 #924 := (* -1::int uf_4) |
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94 decl uf_1 :: int |
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95 #5 := uf_1 |
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96 #925 := (+ uf_1 #924) |
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97 #926 := (<= #925 0::int) |
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98 #2358 := (or #886 #1654 #926 #2355) |
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99 #2361 := (not #2358) |
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100 decl ?x7!2 :: int |
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101 #1279 := ?x7!2 |
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102 #1287 := (uf_3 ?x7!2) |
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103 decl uf_12 :: int |
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104 #99 := uf_12 |
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105 #1469 := (= uf_12 #1287) |
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106 #1284 := (>= ?x7!2 0::int) |
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107 #1711 := (not #1284) |
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108 #1280 := (* -1::int ?x7!2) |
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109 #1281 := (+ uf_1 #1280) |
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110 #1282 := (<= #1281 0::int) |
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111 #1726 := (or #1282 #1711 #1469) |
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112 #1757 := (not #1726) |
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113 decl ?x8!3 :: int |
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114 #1297 := ?x8!3 |
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115 #1298 := (uf_3 ?x8!3) |
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116 #1493 := (* -1::int #1298) |
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117 #1494 := (+ uf_12 #1493) |
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118 #1495 := (>= #1494 0::int) |
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119 #1305 := (>= ?x8!3 0::int) |
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120 #1731 := (not #1305) |
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121 #1301 := (* -1::int ?x8!3) |
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122 #1302 := (+ uf_1 #1301) |
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123 #1303 := (<= #1302 0::int) |
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124 #1795 := (or #1303 #1731 #1495 #1757) |
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125 #1798 := (not #1795) |
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126 #951 := (* -1::int #16) |
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127 #952 := (+ uf_1 #951) |
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128 #953 := (<= #952 0::int) |
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129 #105 := (= #20 uf_12) |
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130 #1700 := (or #105 #1548 #953) |
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131 #1705 := (not #1700) |
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132 #2364 := (forall (vars (?x7 int)) (:pat #2303) #1705) |
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133 #2369 := (or #2364 #1798) |
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134 #2372 := (not #2369) |
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135 #927 := (not #926) |
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136 decl uf_13 :: int |
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137 #101 := uf_13 |
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138 #472 := (= uf_4 uf_13) |
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139 #542 := (not #472) |
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140 #469 := (= uf_6 uf_12) |
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141 #551 := (not #469) |
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142 decl uf_11 :: int |
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143 #97 := uf_11 |
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144 #466 := (= uf_5 uf_11) |
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145 #560 := (not #466) |
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146 #2375 := (or #560 #551 #542 #886 #1654 #927 #2372) |
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147 #2378 := (not #2375) |
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148 #2381 := (or #2361 #2378) |
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149 #2384 := (not #2381) |
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150 #1030 := (+ #16 #924) |
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151 #1029 := (>= #1030 0::int) |
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152 #1024 := (* -1::int uf_6) |
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153 #1025 := (+ #20 #1024) |
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154 #1026 := (<= #1025 0::int) |
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155 #1585 := (or #1548 #1026 #1029) |
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156 #2312 := (forall (vars (?x2 int)) (:pat #2303) #1585) |
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157 #2317 := (not #2312) |
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158 #763 := (* -1::int #20) |
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159 decl uf_2 :: int |
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160 #7 := uf_2 |
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161 #764 := (+ uf_2 #763) |
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162 #762 := (>= #764 0::int) |
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163 #749 := (>= #16 1::int) |
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164 #1563 := (or #749 #1548 #762) |
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165 #2304 := (forall (vars (?x1 int)) (:pat #2303) #1563) |
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166 #2309 := (not #2304) |
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167 #36 := (uf_3 uf_5) |
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168 #188 := (= uf_6 #36) |
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169 #619 := (not #188) |
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170 #2387 := (or #619 #886 #1654 #2309 #2317 #2384) |
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171 #2390 := (not #2387) |
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172 decl ?x1!0 :: int |
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173 #1152 := ?x1!0 |
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174 #1156 := (>= ?x1!0 1::int) |
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175 #1155 := (>= ?x1!0 0::int) |
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176 #1164 := (not #1155) |
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177 #1153 := (uf_3 ?x1!0) |
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178 #1150 := (* -1::int #1153) |
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179 #1151 := (+ uf_2 #1150) |
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180 #1154 := (>= #1151 0::int) |
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181 #1540 := (or #1154 #1164 #1156) |
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182 #2202 := (= uf_2 #1153) |
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183 #8 := (uf_3 0::int) |
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184 #2191 := (= #8 #1153) |
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185 #2188 := (= #1153 #8) |
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186 #2207 := (= ?x1!0 0::int) |
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187 #1157 := (not #1156) |
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188 #1545 := (not #1540) |
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189 #2205 := [hypothesis]: #1545 |
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190 #1976 := (or #1540 #1157) |
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191 #1967 := [def-axiom]: #1976 |
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192 #2206 := [unit-resolution #1967 #2205]: #1157 |
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193 #1975 := (or #1540 #1155) |
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194 #1890 := [def-axiom]: #1975 |
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195 #2203 := [unit-resolution #1890 #2205]: #1155 |
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196 #2187 := [th-lemma #2203 #2206]: #2207 |
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197 #2190 := [monotonicity #2187]: #2188 |
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198 #2192 := [symm #2190]: #2191 |
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199 #9 := (= uf_2 #8) |
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200 #1078 := (<= uf_1 0::int) |
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201 #1031 := (not #1029) |
|
202 #1034 := (and #753 #1031) |
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203 #1037 := (not #1034) |
|
204 #1040 := (or #1026 #1037) |
|
205 #1043 := (forall (vars (?x2 int)) #1040) |
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206 #1046 := (not #1043) |
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207 #972 := (* -1::int uf_12) |
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208 #973 := (+ #20 #972) |
|
209 #974 := (<= #973 0::int) |
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210 #954 := (not #953) |
|
211 #957 := (and #753 #954) |
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212 #960 := (not #957) |
|
213 #980 := (or #960 #974) |
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214 #985 := (forall (vars (?x8 int)) #980) |
|
215 #963 := (or #105 #960) |
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216 #966 := (exists (vars (?x7 int)) #963) |
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217 #969 := (not #966) |
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218 #988 := (or #969 #985) |
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219 #991 := (and #966 #988) |
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220 #781 := (and #776 #779) |
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221 #784 := (not #781) |
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222 #1016 := (or #560 #551 #542 #784 #927 #991) |
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223 #843 := (and #776 #788) |
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224 #846 := (not #843) |
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225 #804 := (not #805) |
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226 #810 := (and #753 #804) |
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227 #813 := (not #810) |
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228 #816 := (or #801 #813) |
|
229 #819 := (forall (vars (?x3 int)) #816) |
|
230 #822 := (not #819) |
|
231 #828 := (or #221 #822) |
|
232 #833 := (and #819 #828) |
|
233 #793 := (and #788 #791) |
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234 #796 := (not #793) |
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235 #916 := (or #367 #401 #376 #886 #784 #796 #833 #840 #846 #850) |
|
236 #881 := (or #310 #301 #784 #796 #833 #840 #846 #854) |
|
237 #921 := (and #881 #916) |
|
238 #946 := (or #784 #921 #926) |
|
239 #1021 := (and #946 #1016) |
|
240 #652 := (not #9) |
|
241 #1064 := (or #652 #619 #784 #1021 #1046) |
|
242 #1069 := (and #9 #1064) |
|
243 #747 := (not #749) |
|
244 #754 := (and #747 #753) |
|
245 #757 := (not #754) |
|
246 #766 := (or #757 #762) |
|
247 #769 := (forall (vars (?x1 int)) #766) |
|
248 #772 := (not #769) |
|
249 #1072 := (or #772 #1069) |
|
250 #1075 := (and #769 #1072) |
|
251 #1098 := (or #652 #1075 #1078) |
|
252 #1103 := (not #1098) |
|
253 #21 := (<= #20 uf_2) |
|
254 #18 := (<= 0::int #16) |
|
255 #17 := (< #16 1::int) |
|
256 #19 := (and #17 #18) |
|
257 #22 := (implies #19 #21) |
|
258 #23 := (forall (vars (?x1 int)) #22) |
|
259 #24 := (= #8 uf_2) |
|
260 #103 := (< #16 uf_1) |
|
261 #104 := (and #103 #18) |
|
262 #106 := (implies #104 #105) |
|
263 #107 := (exists (vars (?x7 int)) #106) |
|
264 #108 := (<= #20 uf_12) |
|
265 #109 := (implies #104 #108) |
|
266 #110 := (forall (vars (?x8 int)) #109) |
|
267 #1 := true |
|
268 #111 := (implies #110 true) |
|
269 #112 := (and #111 #110) |
|
270 #113 := (implies #107 #112) |
|
271 #114 := (and #113 #107) |
|
272 #115 := (implies true #114) |
|
273 #102 := (= uf_13 uf_4) |
|
274 #116 := (implies #102 #115) |
|
275 #100 := (= uf_12 uf_6) |
|
276 #117 := (implies #100 #116) |
|
277 #98 := (= uf_11 uf_5) |
|
278 #118 := (implies #98 #117) |
|
279 #119 := (implies true #118) |
|
280 #28 := (<= 0::int uf_5) |
|
281 #26 := (<= 1::int uf_4) |
|
282 #29 := (and #26 #28) |
|
283 #120 := (implies #29 #119) |
|
284 #96 := (<= uf_1 uf_4) |
|
285 #121 := (implies #96 #120) |
|
286 #122 := (implies #29 #121) |
|
287 #123 := (implies true #122) |
|
288 #55 := (<= #20 uf_8) |
|
289 #53 := (< #16 uf_9) |
|
290 #54 := (and #53 #18) |
|
291 #56 := (implies #54 #55) |
|
292 #57 := (forall (vars (?x3 int)) #56) |
|
293 #59 := (= #58 uf_8) |
|
294 #60 := (implies false true) |
|
295 #61 := (implies #59 #60) |
|
296 #62 := (and #61 #59) |
|
297 #63 := (implies #57 #62) |
|
298 #64 := (and #63 #57) |
|
299 #65 := (implies true #64) |
|
300 #45 := (<= 0::int uf_7) |
|
301 #51 := (<= 2::int uf_9) |
|
302 #52 := (and #51 #45) |
|
303 #66 := (implies #52 #65) |
|
304 #48 := (+ uf_4 1::int) |
|
305 #49 := (= uf_9 #48) |
|
306 #67 := (implies #49 #66) |
|
307 #46 := (and #26 #45) |
|
308 #68 := (implies #46 #67) |
|
309 #69 := (implies true #68) |
|
310 #83 := (implies #82 #69) |
|
311 #81 := (= uf_7 uf_4) |
|
312 #84 := (implies #81 #83) |
|
313 #85 := (implies true #84) |
|
314 #80 := (and #26 #26) |
|
315 #86 := (implies #80 #85) |
|
316 #79 := (= uf_10 #39) |
|
317 #87 := (implies #79 #86) |
|
318 #77 := (< uf_6 #39) |
|
319 #88 := (implies #77 #87) |
|
320 #89 := (implies #29 #88) |
|
321 #90 := (implies true #89) |
|
322 #44 := (= uf_8 uf_6) |
|
323 #70 := (implies #44 #69) |
|
324 #42 := (= uf_7 uf_5) |
|
325 #71 := (implies #42 #70) |
|
326 #72 := (implies true #71) |
|
327 #73 := (implies #29 #72) |
|
328 #40 := (<= #39 uf_6) |
|
329 #74 := (implies #40 #73) |
|
330 #75 := (implies #29 #74) |
|
331 #76 := (implies true #75) |
|
332 #91 := (and #76 #90) |
|
333 #92 := (implies #29 #91) |
|
334 #38 := (< uf_4 uf_1) |
|
335 #93 := (implies #38 #92) |
|
336 #94 := (implies #29 #93) |
|
337 #95 := (implies true #94) |
|
338 #124 := (and #95 #123) |
|
339 #125 := (implies #29 #124) |
|
340 #37 := (= #36 uf_6) |
|
341 #126 := (implies #37 #125) |
|
342 #33 := (<= #20 uf_6) |
|
343 #30 := (< #16 uf_4) |
|
344 #31 := (and #30 #18) |
|
345 #34 := (implies #31 #33) |
|
346 #35 := (forall (vars (?x2 int)) #34) |
|
347 #127 := (implies #35 #126) |
|
348 #128 := (implies #29 #127) |
|
349 #129 := (implies true #128) |
|
350 #130 := (implies #24 #129) |
|
351 #131 := (and #130 #24) |
|
352 #132 := (implies #23 #131) |
|
353 #133 := (and #132 #23) |
|
354 #12 := (<= 0::int 0::int) |
|
355 #13 := (and #12 #12) |
|
356 #11 := (<= 1::int 1::int) |
|
357 #14 := (and #11 #13) |
|
358 #15 := (and #11 #14) |
|
359 #134 := (implies #15 #133) |
|
360 #135 := (implies #9 #134) |
|
361 #136 := (implies true #135) |
|
362 #6 := (< 0::int uf_1) |
|
363 #137 := (implies #6 #136) |
|
364 #138 := (implies true #137) |
|
365 #139 := (not #138) |
|
366 #1106 := (iff #139 #1103) |
|
367 #475 := (and #18 #103) |
|
368 #481 := (not #475) |
|
369 #493 := (or #108 #481) |
|
370 #498 := (forall (vars (?x8 int)) #493) |
|
371 #482 := (or #105 #481) |
|
372 #487 := (exists (vars (?x7 int)) #482) |
|
373 #518 := (not #487) |
|
374 #519 := (or #518 #498) |
|
375 #527 := (and #487 #519) |
|
376 #543 := (or #542 #527) |
|
377 #552 := (or #551 #543) |
|
378 #561 := (or #560 #552) |
|
379 #326 := (not #29) |
|
380 #576 := (or #326 #561) |
|
381 #584 := (not #96) |
|
382 #585 := (or #584 #576) |
|
383 #593 := (or #326 #585) |
|
384 #206 := (and #18 #53) |
|
385 #212 := (not #206) |
|
386 #213 := (or #55 #212) |
|
387 #218 := (forall (vars (?x3 int)) #213) |
|
388 #243 := (not #218) |
|
389 #244 := (or #243 #221) |
|
390 #252 := (and #218 #244) |
|
391 #203 := (and #45 #51) |
|
392 #267 := (not #203) |
|
393 #268 := (or #267 #252) |
|
394 #197 := (+ 1::int uf_4) |
|
395 #200 := (= uf_9 #197) |
|
396 #276 := (not #200) |
|
397 #277 := (or #276 #268) |
|
398 #285 := (not #46) |
|
399 #286 := (or #285 #277) |
|
400 #368 := (or #367 #286) |
|
401 #377 := (or #376 #368) |
|
402 #392 := (not #26) |
|
403 #393 := (or #392 #377) |
|
404 #402 := (or #401 #393) |
|
405 #410 := (not #77) |
|
406 #411 := (or #410 #402) |
|
407 #419 := (or #326 #411) |
|
408 #302 := (or #301 #286) |
|
409 #311 := (or #310 #302) |
|
410 #327 := (or #326 #311) |
|
411 #335 := (not #40) |
|
412 #336 := (or #335 #327) |
|
413 #344 := (or #326 #336) |
|
414 #431 := (and #344 #419) |
|
415 #437 := (or #326 #431) |
|
416 #445 := (not #38) |
|
417 #446 := (or #445 #437) |
|
418 #454 := (or #326 #446) |
|
419 #605 := (and #454 #593) |
|
420 #611 := (or #326 #605) |
|
421 #620 := (or #619 #611) |
|
422 #173 := (and #18 #30) |
|
423 #179 := (not #173) |
|
424 #180 := (or #33 #179) |
|
425 #185 := (forall (vars (?x2 int)) #180) |
|
426 #628 := (not #185) |
|
427 #629 := (or #628 #620) |
|
428 #637 := (or #326 #629) |
|
429 #653 := (or #652 #637) |
|
430 #661 := (and #9 #653) |
|
431 #164 := (not #19) |
|
432 #165 := (or #164 #21) |
|
433 #168 := (forall (vars (?x1 int)) #165) |
|
434 #669 := (not #168) |
|
435 #670 := (or #669 #661) |
|
436 #678 := (and #168 #670) |
|
437 #158 := (and #11 #12) |
|
438 #161 := (and #11 #158) |
|
439 #686 := (not #161) |
|
440 #687 := (or #686 #678) |
|
441 #695 := (or #652 #687) |
|
442 #710 := (not #6) |
|
443 #711 := (or #710 #695) |
|
444 #723 := (not #711) |
|
445 #1104 := (iff #723 #1103) |
|
446 #1101 := (iff #711 #1098) |
|
447 #1089 := (or false #1075) |
|
448 #1092 := (or #652 #1089) |
|
449 #1095 := (or #1078 #1092) |
|
450 #1099 := (iff #1095 #1098) |
|
451 #1100 := [rewrite]: #1099 |
|
452 #1096 := (iff #711 #1095) |
|
453 #1093 := (iff #695 #1092) |
|
454 #1090 := (iff #687 #1089) |
|
455 #1076 := (iff #678 #1075) |
|
456 #1073 := (iff #670 #1072) |
|
457 #1070 := (iff #661 #1069) |
|
458 #1067 := (iff #653 #1064) |
|
459 #1049 := (or #784 #1021) |
|
460 #1052 := (or #619 #1049) |
|
461 #1055 := (or #1046 #1052) |
|
462 #1058 := (or #784 #1055) |
|
463 #1061 := (or #652 #1058) |
|
464 #1065 := (iff #1061 #1064) |
|
465 #1066 := [rewrite]: #1065 |
|
466 #1062 := (iff #653 #1061) |
|
467 #1059 := (iff #637 #1058) |
|
468 #1056 := (iff #629 #1055) |
|
469 #1053 := (iff #620 #1052) |
|
470 #1050 := (iff #611 #1049) |
|
471 #1022 := (iff #605 #1021) |
|
472 #1019 := (iff #593 #1016) |
|
473 #998 := (or #542 #991) |
|
474 #1001 := (or #551 #998) |
|
475 #1004 := (or #560 #1001) |
|
476 #1007 := (or #784 #1004) |
|
477 #1010 := (or #927 #1007) |
|
478 #1013 := (or #784 #1010) |
|
479 #1017 := (iff #1013 #1016) |
|
480 #1018 := [rewrite]: #1017 |
|
481 #1014 := (iff #593 #1013) |
|
482 #1011 := (iff #585 #1010) |
|
483 #1008 := (iff #576 #1007) |
|
484 #1005 := (iff #561 #1004) |
|
485 #1002 := (iff #552 #1001) |
|
486 #999 := (iff #543 #998) |
|
487 #992 := (iff #527 #991) |
|
488 #989 := (iff #519 #988) |
|
489 #986 := (iff #498 #985) |
|
490 #983 := (iff #493 #980) |
|
491 #977 := (or #974 #960) |
|
492 #981 := (iff #977 #980) |
|
493 #982 := [rewrite]: #981 |
|
494 #978 := (iff #493 #977) |
|
495 #961 := (iff #481 #960) |
|
496 #958 := (iff #475 #957) |
|
497 #955 := (iff #103 #954) |
|
498 #956 := [rewrite]: #955 |
|
499 #751 := (iff #18 #753) |
|
500 #752 := [rewrite]: #751 |
|
501 #959 := [monotonicity #752 #956]: #958 |
|
502 #962 := [monotonicity #959]: #961 |
|
503 #975 := (iff #108 #974) |
|
504 #976 := [rewrite]: #975 |
|
505 #979 := [monotonicity #976 #962]: #978 |
|
506 #984 := [trans #979 #982]: #983 |
|
507 #987 := [quant-intro #984]: #986 |
|
508 #970 := (iff #518 #969) |
|
509 #967 := (iff #487 #966) |
|
510 #964 := (iff #482 #963) |
|
511 #965 := [monotonicity #962]: #964 |
|
512 #968 := [quant-intro #965]: #967 |
|
513 #971 := [monotonicity #968]: #970 |
|
514 #990 := [monotonicity #971 #987]: #989 |
|
515 #993 := [monotonicity #968 #990]: #992 |
|
516 #1000 := [monotonicity #993]: #999 |
|
517 #1003 := [monotonicity #1000]: #1002 |
|
518 #1006 := [monotonicity #1003]: #1005 |
|
519 #785 := (iff #326 #784) |
|
520 #782 := (iff #29 #781) |
|
521 #778 := (iff #28 #779) |
|
522 #780 := [rewrite]: #778 |
|
523 #775 := (iff #26 #776) |
|
524 #777 := [rewrite]: #775 |
|
525 #783 := [monotonicity #777 #780]: #782 |
|
526 #786 := [monotonicity #783]: #785 |
|
527 #1009 := [monotonicity #786 #1006]: #1008 |
|
528 #996 := (iff #584 #927) |
|
529 #994 := (iff #96 #926) |
|
530 #995 := [rewrite]: #994 |
|
531 #997 := [monotonicity #995]: #996 |
|
532 #1012 := [monotonicity #997 #1009]: #1011 |
|
533 #1015 := [monotonicity #786 #1012]: #1014 |
|
534 #1020 := [trans #1015 #1018]: #1019 |
|
535 #949 := (iff #454 #946) |
|
536 #937 := (or #784 #921) |
|
537 #940 := (or #926 #937) |
|
538 #943 := (or #784 #940) |
|
539 #947 := (iff #943 #946) |
|
540 #948 := [rewrite]: #947 |
|
541 #944 := (iff #454 #943) |
|
542 #941 := (iff #446 #940) |
|
543 #938 := (iff #437 #937) |
|
544 #922 := (iff #431 #921) |
|
545 #919 := (iff #419 #916) |
|
546 #857 := (or #796 #833) |
|
547 #860 := (or #840 #857) |
|
548 #863 := (or #846 #860) |
|
549 #898 := (or #367 #863) |
|
550 #901 := (or #376 #898) |
|
551 #904 := (or #886 #901) |
|
552 #907 := (or #401 #904) |
|
553 #910 := (or #850 #907) |
|
554 #913 := (or #784 #910) |
|
555 #917 := (iff #913 #916) |
|
556 #918 := [rewrite]: #917 |
|
557 #914 := (iff #419 #913) |
|
558 #911 := (iff #411 #910) |
|
559 #908 := (iff #402 #907) |
|
560 #905 := (iff #393 #904) |
|
561 #902 := (iff #377 #901) |
|
562 #899 := (iff #368 #898) |
|
563 #864 := (iff #286 #863) |
|
564 #861 := (iff #277 #860) |
|
565 #858 := (iff #268 #857) |
|
566 #834 := (iff #252 #833) |
|
567 #831 := (iff #244 #828) |
|
568 #825 := (or #822 #221) |
|
569 #829 := (iff #825 #828) |
|
570 #830 := [rewrite]: #829 |
|
571 #826 := (iff #244 #825) |
|
572 #823 := (iff #243 #822) |
|
573 #820 := (iff #218 #819) |
|
574 #817 := (iff #213 #816) |
|
575 #814 := (iff #212 #813) |
|
576 #811 := (iff #206 #810) |
|
577 #808 := (iff #53 #804) |
|
578 #809 := [rewrite]: #808 |
|
579 #812 := [monotonicity #752 #809]: #811 |
|
580 #815 := [monotonicity #812]: #814 |
|
581 #802 := (iff #55 #801) |
|
582 #803 := [rewrite]: #802 |
|
583 #818 := [monotonicity #803 #815]: #817 |
|
584 #821 := [quant-intro #818]: #820 |
|
585 #824 := [monotonicity #821]: #823 |
|
586 #827 := [monotonicity #824]: #826 |
|
587 #832 := [trans #827 #830]: #831 |
|
588 #835 := [monotonicity #821 #832]: #834 |
|
589 #797 := (iff #267 #796) |
|
590 #794 := (iff #203 #793) |
|
591 #790 := (iff #51 #791) |
|
592 #792 := [rewrite]: #790 |
|
593 #787 := (iff #45 #788) |
|
594 #789 := [rewrite]: #787 |
|
595 #795 := [monotonicity #789 #792]: #794 |
|
596 #798 := [monotonicity #795]: #797 |
|
597 #859 := [monotonicity #798 #835]: #858 |
|
598 #841 := (iff #276 #840) |
|
599 #836 := (iff #200 #837) |
|
600 #839 := [rewrite]: #836 |
|
601 #842 := [monotonicity #839]: #841 |
|
602 #862 := [monotonicity #842 #859]: #861 |
|
603 #847 := (iff #285 #846) |
|
604 #844 := (iff #46 #843) |
|
605 #845 := [monotonicity #777 #789]: #844 |
|
606 #848 := [monotonicity #845]: #847 |
|
607 #865 := [monotonicity #848 #862]: #864 |
|
608 #900 := [monotonicity #865]: #899 |
|
609 #903 := [monotonicity #900]: #902 |
|
610 #887 := (iff #392 #886) |
|
611 #888 := [monotonicity #777]: #887 |
|
612 #906 := [monotonicity #888 #903]: #905 |
|
613 #909 := [monotonicity #906]: #908 |
|
614 #896 := (iff #410 #850) |
|
615 #891 := (not #854) |
|
616 #894 := (iff #891 #850) |
|
617 #895 := [rewrite]: #894 |
|
618 #892 := (iff #410 #891) |
|
619 #889 := (iff #77 #854) |
|
620 #890 := [rewrite]: #889 |
|
621 #893 := [monotonicity #890]: #892 |
|
622 #897 := [trans #893 #895]: #896 |
|
623 #912 := [monotonicity #897 #909]: #911 |
|
624 #915 := [monotonicity #786 #912]: #914 |
|
625 #920 := [trans #915 #918]: #919 |
|
626 #884 := (iff #344 #881) |
|
627 #866 := (or #301 #863) |
|
628 #869 := (or #310 #866) |
|
629 #872 := (or #784 #869) |
|
630 #875 := (or #854 #872) |
|
631 #878 := (or #784 #875) |
|
632 #882 := (iff #878 #881) |
|
633 #883 := [rewrite]: #882 |
|
634 #879 := (iff #344 #878) |
|
635 #876 := (iff #336 #875) |
|
636 #873 := (iff #327 #872) |
|
637 #870 := (iff #311 #869) |
|
638 #867 := (iff #302 #866) |
|
639 #868 := [monotonicity #865]: #867 |
|
640 #871 := [monotonicity #868]: #870 |
|
641 #874 := [monotonicity #786 #871]: #873 |
|
642 #855 := (iff #335 #854) |
|
643 #849 := (iff #40 #850) |
|
644 #853 := [rewrite]: #849 |
|
645 #856 := [monotonicity #853]: #855 |
|
646 #877 := [monotonicity #856 #874]: #876 |
|
647 #880 := [monotonicity #786 #877]: #879 |
|
648 #885 := [trans #880 #883]: #884 |
|
649 #923 := [monotonicity #885 #920]: #922 |
|
650 #939 := [monotonicity #786 #923]: #938 |
|
651 #935 := (iff #445 #926) |
|
652 #930 := (not #927) |
|
653 #933 := (iff #930 #926) |
|
654 #934 := [rewrite]: #933 |
|
655 #931 := (iff #445 #930) |
|
656 #928 := (iff #38 #927) |
|
657 #929 := [rewrite]: #928 |
|
658 #932 := [monotonicity #929]: #931 |
|
659 #936 := [trans #932 #934]: #935 |
|
660 #942 := [monotonicity #936 #939]: #941 |
|
661 #945 := [monotonicity #786 #942]: #944 |
|
662 #950 := [trans #945 #948]: #949 |
|
663 #1023 := [monotonicity #950 #1020]: #1022 |
|
664 #1051 := [monotonicity #786 #1023]: #1050 |
|
665 #1054 := [monotonicity #1051]: #1053 |
|
666 #1047 := (iff #628 #1046) |
|
667 #1044 := (iff #185 #1043) |
|
668 #1041 := (iff #180 #1040) |
|
669 #1038 := (iff #179 #1037) |
|
670 #1035 := (iff #173 #1034) |
|
671 #1032 := (iff #30 #1031) |
|
672 #1033 := [rewrite]: #1032 |
|
673 #1036 := [monotonicity #752 #1033]: #1035 |
|
674 #1039 := [monotonicity #1036]: #1038 |
|
675 #1027 := (iff #33 #1026) |
|
676 #1028 := [rewrite]: #1027 |
|
677 #1042 := [monotonicity #1028 #1039]: #1041 |
|
678 #1045 := [quant-intro #1042]: #1044 |
|
679 #1048 := [monotonicity #1045]: #1047 |
|
680 #1057 := [monotonicity #1048 #1054]: #1056 |
|
681 #1060 := [monotonicity #786 #1057]: #1059 |
|
682 #1063 := [monotonicity #1060]: #1062 |
|
683 #1068 := [trans #1063 #1066]: #1067 |
|
684 #1071 := [monotonicity #1068]: #1070 |
|
685 #773 := (iff #669 #772) |
|
686 #770 := (iff #168 #769) |
|
687 #767 := (iff #165 #766) |
|
688 #761 := (iff #21 #762) |
|
689 #765 := [rewrite]: #761 |
|
690 #758 := (iff #164 #757) |
|
691 #755 := (iff #19 #754) |
|
692 #748 := (iff #17 #747) |
|
693 #750 := [rewrite]: #748 |
|
694 #756 := [monotonicity #750 #752]: #755 |
|
695 #759 := [monotonicity #756]: #758 |
|
696 #768 := [monotonicity #759 #765]: #767 |
|
697 #771 := [quant-intro #768]: #770 |
|
698 #774 := [monotonicity #771]: #773 |
|
699 #1074 := [monotonicity #774 #1071]: #1073 |
|
700 #1077 := [monotonicity #771 #1074]: #1076 |
|
701 #745 := (iff #686 false) |
|
702 #740 := (not true) |
|
703 #743 := (iff #740 false) |
|
704 #744 := [rewrite]: #743 |
|
705 #741 := (iff #686 #740) |
|
706 #738 := (iff #161 true) |
|
707 #730 := (and true true) |
|
708 #733 := (and true #730) |
|
709 #736 := (iff #733 true) |
|
710 #737 := [rewrite]: #736 |
|
711 #734 := (iff #161 #733) |
|
712 #731 := (iff #158 #730) |
|
713 #728 := (iff #12 true) |
|
714 #729 := [rewrite]: #728 |
|
715 #726 := (iff #11 true) |
|
716 #727 := [rewrite]: #726 |
|
717 #732 := [monotonicity #727 #729]: #731 |
|
718 #735 := [monotonicity #727 #732]: #734 |
|
719 #739 := [trans #735 #737]: #738 |
|
720 #742 := [monotonicity #739]: #741 |
|
721 #746 := [trans #742 #744]: #745 |
|
722 #1091 := [monotonicity #746 #1077]: #1090 |
|
723 #1094 := [monotonicity #1091]: #1093 |
|
724 #1087 := (iff #710 #1078) |
|
725 #1079 := (not #1078) |
|
726 #1082 := (not #1079) |
|
727 #1085 := (iff #1082 #1078) |
|
728 #1086 := [rewrite]: #1085 |
|
729 #1083 := (iff #710 #1082) |
|
730 #1080 := (iff #6 #1079) |
|
731 #1081 := [rewrite]: #1080 |
|
732 #1084 := [monotonicity #1081]: #1083 |
|
733 #1088 := [trans #1084 #1086]: #1087 |
|
734 #1097 := [monotonicity #1088 #1094]: #1096 |
|
735 #1102 := [trans #1097 #1100]: #1101 |
|
736 #1105 := [monotonicity #1102]: #1104 |
|
737 #724 := (iff #139 #723) |
|
738 #721 := (iff #138 #711) |
|
739 #716 := (implies true #711) |
|
740 #719 := (iff #716 #711) |
|
741 #720 := [rewrite]: #719 |
|
742 #717 := (iff #138 #716) |
|
743 #714 := (iff #137 #711) |
|
744 #707 := (implies #6 #695) |
|
745 #712 := (iff #707 #711) |
|
746 #713 := [rewrite]: #712 |
|
747 #708 := (iff #137 #707) |
|
748 #705 := (iff #136 #695) |
|
749 #700 := (implies true #695) |
|
750 #703 := (iff #700 #695) |
|
751 #704 := [rewrite]: #703 |
|
752 #701 := (iff #136 #700) |
|
753 #698 := (iff #135 #695) |
|
754 #692 := (implies #9 #687) |
|
755 #696 := (iff #692 #695) |
|
756 #697 := [rewrite]: #696 |
|
757 #693 := (iff #135 #692) |
|
758 #690 := (iff #134 #687) |
|
759 #683 := (implies #161 #678) |
|
760 #688 := (iff #683 #687) |
|
761 #689 := [rewrite]: #688 |
|
762 #684 := (iff #134 #683) |
|
763 #681 := (iff #133 #678) |
|
764 #675 := (and #670 #168) |
|
765 #679 := (iff #675 #678) |
|
766 #680 := [rewrite]: #679 |
|
767 #676 := (iff #133 #675) |
|
768 #169 := (iff #23 #168) |
|
769 #166 := (iff #22 #165) |
|
770 #167 := [rewrite]: #166 |
|
771 #170 := [quant-intro #167]: #169 |
|
772 #673 := (iff #132 #670) |
|
773 #666 := (implies #168 #661) |
|
774 #671 := (iff #666 #670) |
|
775 #672 := [rewrite]: #671 |
|
776 #667 := (iff #132 #666) |
|
777 #664 := (iff #131 #661) |
|
778 #658 := (and #653 #9) |
|
779 #662 := (iff #658 #661) |
|
780 #663 := [rewrite]: #662 |
|
781 #659 := (iff #131 #658) |
|
782 #171 := (iff #24 #9) |
|
783 #172 := [rewrite]: #171 |
|
784 #656 := (iff #130 #653) |
|
785 #649 := (implies #9 #637) |
|
786 #654 := (iff #649 #653) |
|
787 #655 := [rewrite]: #654 |
|
788 #650 := (iff #130 #649) |
|
789 #647 := (iff #129 #637) |
|
790 #642 := (implies true #637) |
|
791 #645 := (iff #642 #637) |
|
792 #646 := [rewrite]: #645 |
|
793 #643 := (iff #129 #642) |
|
794 #640 := (iff #128 #637) |
|
795 #634 := (implies #29 #629) |
|
796 #638 := (iff #634 #637) |
|
797 #639 := [rewrite]: #638 |
|
798 #635 := (iff #128 #634) |
|
799 #632 := (iff #127 #629) |
|
800 #625 := (implies #185 #620) |
|
801 #630 := (iff #625 #629) |
|
802 #631 := [rewrite]: #630 |
|
803 #626 := (iff #127 #625) |
|
804 #623 := (iff #126 #620) |
|
805 #616 := (implies #188 #611) |
|
806 #621 := (iff #616 #620) |
|
807 #622 := [rewrite]: #621 |
|
808 #617 := (iff #126 #616) |
|
809 #614 := (iff #125 #611) |
|
810 #608 := (implies #29 #605) |
|
811 #612 := (iff #608 #611) |
|
812 #613 := [rewrite]: #612 |
|
813 #609 := (iff #125 #608) |
|
814 #606 := (iff #124 #605) |
|
815 #603 := (iff #123 #593) |
|
816 #598 := (implies true #593) |
|
817 #601 := (iff #598 #593) |
|
818 #602 := [rewrite]: #601 |
|
819 #599 := (iff #123 #598) |
|
820 #596 := (iff #122 #593) |
|
821 #590 := (implies #29 #585) |
|
822 #594 := (iff #590 #593) |
|
823 #595 := [rewrite]: #594 |
|
824 #591 := (iff #122 #590) |
|
825 #588 := (iff #121 #585) |
|
826 #581 := (implies #96 #576) |
|
827 #586 := (iff #581 #585) |
|
828 #587 := [rewrite]: #586 |
|
829 #582 := (iff #121 #581) |
|
830 #579 := (iff #120 #576) |
|
831 #573 := (implies #29 #561) |
|
832 #577 := (iff #573 #576) |
|
833 #578 := [rewrite]: #577 |
|
834 #574 := (iff #120 #573) |
|
835 #571 := (iff #119 #561) |
|
836 #566 := (implies true #561) |
|
837 #569 := (iff #566 #561) |
|
838 #570 := [rewrite]: #569 |
|
839 #567 := (iff #119 #566) |
|
840 #564 := (iff #118 #561) |
|
841 #557 := (implies #466 #552) |
|
842 #562 := (iff #557 #561) |
|
843 #563 := [rewrite]: #562 |
|
844 #558 := (iff #118 #557) |
|
845 #555 := (iff #117 #552) |
|
846 #548 := (implies #469 #543) |
|
847 #553 := (iff #548 #552) |
|
848 #554 := [rewrite]: #553 |
|
849 #549 := (iff #117 #548) |
|
850 #546 := (iff #116 #543) |
|
851 #539 := (implies #472 #527) |
|
852 #544 := (iff #539 #543) |
|
853 #545 := [rewrite]: #544 |
|
854 #540 := (iff #116 #539) |
|
855 #537 := (iff #115 #527) |
|
856 #532 := (implies true #527) |
|
857 #535 := (iff #532 #527) |
|
858 #536 := [rewrite]: #535 |
|
859 #533 := (iff #115 #532) |
|
860 #530 := (iff #114 #527) |
|
861 #524 := (and #519 #487) |
|
862 #528 := (iff #524 #527) |
|
863 #529 := [rewrite]: #528 |
|
864 #525 := (iff #114 #524) |
|
865 #488 := (iff #107 #487) |
|
866 #485 := (iff #106 #482) |
|
867 #478 := (implies #475 #105) |
|
868 #483 := (iff #478 #482) |
|
869 #484 := [rewrite]: #483 |
|
870 #479 := (iff #106 #478) |
|
871 #476 := (iff #104 #475) |
|
872 #477 := [rewrite]: #476 |
|
873 #480 := [monotonicity #477]: #479 |
|
874 #486 := [trans #480 #484]: #485 |
|
875 #489 := [quant-intro #486]: #488 |
|
876 #522 := (iff #113 #519) |
|
877 #515 := (implies #487 #498) |
|
878 #520 := (iff #515 #519) |
|
879 #521 := [rewrite]: #520 |
|
880 #516 := (iff #113 #515) |
|
881 #513 := (iff #112 #498) |
|
882 #508 := (and true #498) |
|
883 #511 := (iff #508 #498) |
|
884 #512 := [rewrite]: #511 |
|
885 #509 := (iff #112 #508) |
|
886 #499 := (iff #110 #498) |
|
887 #496 := (iff #109 #493) |
|
888 #490 := (implies #475 #108) |
|
889 #494 := (iff #490 #493) |
|
890 #495 := [rewrite]: #494 |
|
891 #491 := (iff #109 #490) |
|
892 #492 := [monotonicity #477]: #491 |
|
893 #497 := [trans #492 #495]: #496 |
|
894 #500 := [quant-intro #497]: #499 |
|
895 #506 := (iff #111 true) |
|
896 #501 := (implies #498 true) |
|
897 #504 := (iff #501 true) |
|
898 #505 := [rewrite]: #504 |
|
899 #502 := (iff #111 #501) |
|
900 #503 := [monotonicity #500]: #502 |
|
901 #507 := [trans #503 #505]: #506 |
|
902 #510 := [monotonicity #507 #500]: #509 |
|
903 #514 := [trans #510 #512]: #513 |
|
904 #517 := [monotonicity #489 #514]: #516 |
|
905 #523 := [trans #517 #521]: #522 |
|
906 #526 := [monotonicity #523 #489]: #525 |
|
907 #531 := [trans #526 #529]: #530 |
|
908 #534 := [monotonicity #531]: #533 |
|
909 #538 := [trans #534 #536]: #537 |
|
910 #473 := (iff #102 #472) |
|
911 #474 := [rewrite]: #473 |
|
912 #541 := [monotonicity #474 #538]: #540 |
|
913 #547 := [trans #541 #545]: #546 |
|
914 #470 := (iff #100 #469) |
|
915 #471 := [rewrite]: #470 |
|
916 #550 := [monotonicity #471 #547]: #549 |
|
917 #556 := [trans #550 #554]: #555 |
|
918 #467 := (iff #98 #466) |
|
919 #468 := [rewrite]: #467 |
|
920 #559 := [monotonicity #468 #556]: #558 |
|
921 #565 := [trans #559 #563]: #564 |
|
922 #568 := [monotonicity #565]: #567 |
|
923 #572 := [trans #568 #570]: #571 |
|
924 #575 := [monotonicity #572]: #574 |
|
925 #580 := [trans #575 #578]: #579 |
|
926 #583 := [monotonicity #580]: #582 |
|
927 #589 := [trans #583 #587]: #588 |
|
928 #592 := [monotonicity #589]: #591 |
|
929 #597 := [trans #592 #595]: #596 |
|
930 #600 := [monotonicity #597]: #599 |
|
931 #604 := [trans #600 #602]: #603 |
|
932 #464 := (iff #95 #454) |
|
933 #459 := (implies true #454) |
|
934 #462 := (iff #459 #454) |
|
935 #463 := [rewrite]: #462 |
|
936 #460 := (iff #95 #459) |
|
937 #457 := (iff #94 #454) |
|
938 #451 := (implies #29 #446) |
|
939 #455 := (iff #451 #454) |
|
940 #456 := [rewrite]: #455 |
|
941 #452 := (iff #94 #451) |
|
942 #449 := (iff #93 #446) |
|
943 #442 := (implies #38 #437) |
|
944 #447 := (iff #442 #446) |
|
945 #448 := [rewrite]: #447 |
|
946 #443 := (iff #93 #442) |
|
947 #440 := (iff #92 #437) |
|
948 #434 := (implies #29 #431) |
|
949 #438 := (iff #434 #437) |
|
950 #439 := [rewrite]: #438 |
|
951 #435 := (iff #92 #434) |
|
952 #432 := (iff #91 #431) |
|
953 #429 := (iff #90 #419) |
|
954 #424 := (implies true #419) |
|
955 #427 := (iff #424 #419) |
|
956 #428 := [rewrite]: #427 |
|
957 #425 := (iff #90 #424) |
|
958 #422 := (iff #89 #419) |
|
959 #416 := (implies #29 #411) |
|
960 #420 := (iff #416 #419) |
|
961 #421 := [rewrite]: #420 |
|
962 #417 := (iff #89 #416) |
|
963 #414 := (iff #88 #411) |
|
964 #407 := (implies #77 #402) |
|
965 #412 := (iff #407 #411) |
|
966 #413 := [rewrite]: #412 |
|
967 #408 := (iff #88 #407) |
|
968 #405 := (iff #87 #402) |
|
969 #398 := (implies #356 #393) |
|
970 #403 := (iff #398 #402) |
|
971 #404 := [rewrite]: #403 |
|
972 #399 := (iff #87 #398) |
|
973 #396 := (iff #86 #393) |
|
974 #389 := (implies #26 #377) |
|
975 #394 := (iff #389 #393) |
|
976 #395 := [rewrite]: #394 |
|
977 #390 := (iff #86 #389) |
|
978 #387 := (iff #85 #377) |
|
979 #382 := (implies true #377) |
|
980 #385 := (iff #382 #377) |
|
981 #386 := [rewrite]: #385 |
|
982 #383 := (iff #85 #382) |
|
983 #380 := (iff #84 #377) |
|
984 #373 := (implies #361 #368) |
|
985 #378 := (iff #373 #377) |
|
986 #379 := [rewrite]: #378 |
|
987 #374 := (iff #84 #373) |
|
988 #371 := (iff #83 #368) |
|
989 #364 := (implies #82 #286) |
|
990 #369 := (iff #364 #368) |
|
991 #370 := [rewrite]: #369 |
|
992 #365 := (iff #83 #364) |
|
993 #296 := (iff #69 #286) |
|
994 #291 := (implies true #286) |
|
995 #294 := (iff #291 #286) |
|
996 #295 := [rewrite]: #294 |
|
997 #292 := (iff #69 #291) |
|
998 #289 := (iff #68 #286) |
|
999 #282 := (implies #46 #277) |
|
1000 #287 := (iff #282 #286) |
|
1001 #288 := [rewrite]: #287 |
|
1002 #283 := (iff #68 #282) |
|
1003 #280 := (iff #67 #277) |
|
1004 #273 := (implies #200 #268) |
|
1005 #278 := (iff #273 #277) |
|
1006 #279 := [rewrite]: #278 |
|
1007 #274 := (iff #67 #273) |
|
1008 #271 := (iff #66 #268) |
|
1009 #264 := (implies #203 #252) |
|
1010 #269 := (iff #264 #268) |
|
1011 #270 := [rewrite]: #269 |
|
1012 #265 := (iff #66 #264) |
|
1013 #262 := (iff #65 #252) |
|
1014 #257 := (implies true #252) |
|
1015 #260 := (iff #257 #252) |
|
1016 #261 := [rewrite]: #260 |
|
1017 #258 := (iff #65 #257) |
|
1018 #255 := (iff #64 #252) |
|
1019 #249 := (and #244 #218) |
|
1020 #253 := (iff #249 #252) |
|
1021 #254 := [rewrite]: #253 |
|
1022 #250 := (iff #64 #249) |
|
1023 #219 := (iff #57 #218) |
|
1024 #216 := (iff #56 #213) |
|
1025 #209 := (implies #206 #55) |
|
1026 #214 := (iff #209 #213) |
|
1027 #215 := [rewrite]: #214 |
|
1028 #210 := (iff #56 #209) |
|
1029 #207 := (iff #54 #206) |
|
1030 #208 := [rewrite]: #207 |
|
1031 #211 := [monotonicity #208]: #210 |
|
1032 #217 := [trans #211 #215]: #216 |
|
1033 #220 := [quant-intro #217]: #219 |
|
1034 #247 := (iff #63 #244) |
|
1035 #240 := (implies #218 #221) |
|
1036 #245 := (iff #240 #244) |
|
1037 #246 := [rewrite]: #245 |
|
1038 #241 := (iff #63 #240) |
|
1039 #238 := (iff #62 #221) |
|
1040 #233 := (and true #221) |
|
1041 #236 := (iff #233 #221) |
|
1042 #237 := [rewrite]: #236 |
|
1043 #234 := (iff #62 #233) |
|
1044 #222 := (iff #59 #221) |
|
1045 #223 := [rewrite]: #222 |
|
1046 #231 := (iff #61 true) |
|
1047 #226 := (implies #221 true) |
|
1048 #229 := (iff #226 true) |
|
1049 #230 := [rewrite]: #229 |
|
1050 #227 := (iff #61 #226) |
|
1051 #224 := (iff #60 true) |
|
1052 #225 := [rewrite]: #224 |
|
1053 #228 := [monotonicity #223 #225]: #227 |
|
1054 #232 := [trans #228 #230]: #231 |
|
1055 #235 := [monotonicity #232 #223]: #234 |
|
1056 #239 := [trans #235 #237]: #238 |
|
1057 #242 := [monotonicity #220 #239]: #241 |
|
1058 #248 := [trans #242 #246]: #247 |
|
1059 #251 := [monotonicity #248 #220]: #250 |
|
1060 #256 := [trans #251 #254]: #255 |
|
1061 #259 := [monotonicity #256]: #258 |
|
1062 #263 := [trans #259 #261]: #262 |
|
1063 #204 := (iff #52 #203) |
|
1064 #205 := [rewrite]: #204 |
|
1065 #266 := [monotonicity #205 #263]: #265 |
|
1066 #272 := [trans #266 #270]: #271 |
|
1067 #201 := (iff #49 #200) |
|
1068 #198 := (= #48 #197) |
|
1069 #199 := [rewrite]: #198 |
|
1070 #202 := [monotonicity #199]: #201 |
|
1071 #275 := [monotonicity #202 #272]: #274 |
|
1072 #281 := [trans #275 #279]: #280 |
|
1073 #284 := [monotonicity #281]: #283 |
|
1074 #290 := [trans #284 #288]: #289 |
|
1075 #293 := [monotonicity #290]: #292 |
|
1076 #297 := [trans #293 #295]: #296 |
|
1077 #366 := [monotonicity #297]: #365 |
|
1078 #372 := [trans #366 #370]: #371 |
|
1079 #362 := (iff #81 #361) |
|
1080 #363 := [rewrite]: #362 |
|
1081 #375 := [monotonicity #363 #372]: #374 |
|
1082 #381 := [trans #375 #379]: #380 |
|
1083 #384 := [monotonicity #381]: #383 |
|
1084 #388 := [trans #384 #386]: #387 |
|
1085 #359 := (iff #80 #26) |
|
1086 #360 := [rewrite]: #359 |
|
1087 #391 := [monotonicity #360 #388]: #390 |
|
1088 #397 := [trans #391 #395]: #396 |
|
1089 #357 := (iff #79 #356) |
|
1090 #358 := [rewrite]: #357 |
|
1091 #400 := [monotonicity #358 #397]: #399 |
|
1092 #406 := [trans #400 #404]: #405 |
|
1093 #409 := [monotonicity #406]: #408 |
|
1094 #415 := [trans #409 #413]: #414 |
|
1095 #418 := [monotonicity #415]: #417 |
|
1096 #423 := [trans #418 #421]: #422 |
|
1097 #426 := [monotonicity #423]: #425 |
|
1098 #430 := [trans #426 #428]: #429 |
|
1099 #354 := (iff #76 #344) |
|
1100 #349 := (implies true #344) |
|
1101 #352 := (iff #349 #344) |
|
1102 #353 := [rewrite]: #352 |
|
1103 #350 := (iff #76 #349) |
|
1104 #347 := (iff #75 #344) |
|
1105 #341 := (implies #29 #336) |
|
1106 #345 := (iff #341 #344) |
|
1107 #346 := [rewrite]: #345 |
|
1108 #342 := (iff #75 #341) |
|
1109 #339 := (iff #74 #336) |
|
1110 #332 := (implies #40 #327) |
|
1111 #337 := (iff #332 #336) |
|
1112 #338 := [rewrite]: #337 |
|
1113 #333 := (iff #74 #332) |
|
1114 #330 := (iff #73 #327) |
|
1115 #323 := (implies #29 #311) |
|
1116 #328 := (iff #323 #327) |
|
1117 #329 := [rewrite]: #328 |
|
1118 #324 := (iff #73 #323) |
|
1119 #321 := (iff #72 #311) |
|
1120 #316 := (implies true #311) |
|
1121 #319 := (iff #316 #311) |
|
1122 #320 := [rewrite]: #319 |
|
1123 #317 := (iff #72 #316) |
|
1124 #314 := (iff #71 #311) |
|
1125 #307 := (implies #191 #302) |
|
1126 #312 := (iff #307 #311) |
|
1127 #313 := [rewrite]: #312 |
|
1128 #308 := (iff #71 #307) |
|
1129 #305 := (iff #70 #302) |
|
1130 #298 := (implies #194 #286) |
|
1131 #303 := (iff #298 #302) |
|
1132 #304 := [rewrite]: #303 |
|
1133 #299 := (iff #70 #298) |
|
1134 #195 := (iff #44 #194) |
|
1135 #196 := [rewrite]: #195 |
|
1136 #300 := [monotonicity #196 #297]: #299 |
|
1137 #306 := [trans #300 #304]: #305 |
|
1138 #192 := (iff #42 #191) |
|
1139 #193 := [rewrite]: #192 |
|
1140 #309 := [monotonicity #193 #306]: #308 |
|
1141 #315 := [trans #309 #313]: #314 |
|
1142 #318 := [monotonicity #315]: #317 |
|
1143 #322 := [trans #318 #320]: #321 |
|
1144 #325 := [monotonicity #322]: #324 |
|
1145 #331 := [trans #325 #329]: #330 |
|
1146 #334 := [monotonicity #331]: #333 |
|
1147 #340 := [trans #334 #338]: #339 |
|
1148 #343 := [monotonicity #340]: #342 |
|
1149 #348 := [trans #343 #346]: #347 |
|
1150 #351 := [monotonicity #348]: #350 |
|
1151 #355 := [trans #351 #353]: #354 |
|
1152 #433 := [monotonicity #355 #430]: #432 |
|
1153 #436 := [monotonicity #433]: #435 |
|
1154 #441 := [trans #436 #439]: #440 |
|
1155 #444 := [monotonicity #441]: #443 |
|
1156 #450 := [trans #444 #448]: #449 |
|
1157 #453 := [monotonicity #450]: #452 |
|
1158 #458 := [trans #453 #456]: #457 |
|
1159 #461 := [monotonicity #458]: #460 |
|
1160 #465 := [trans #461 #463]: #464 |
|
1161 #607 := [monotonicity #465 #604]: #606 |
|
1162 #610 := [monotonicity #607]: #609 |
|
1163 #615 := [trans #610 #613]: #614 |
|
1164 #189 := (iff #37 #188) |
|
1165 #190 := [rewrite]: #189 |
|
1166 #618 := [monotonicity #190 #615]: #617 |
|
1167 #624 := [trans #618 #622]: #623 |
|
1168 #186 := (iff #35 #185) |
|
1169 #183 := (iff #34 #180) |
|
1170 #176 := (implies #173 #33) |
|
1171 #181 := (iff #176 #180) |
|
1172 #182 := [rewrite]: #181 |
|
1173 #177 := (iff #34 #176) |
|
1174 #174 := (iff #31 #173) |
|
1175 #175 := [rewrite]: #174 |
|
1176 #178 := [monotonicity #175]: #177 |
|
1177 #184 := [trans #178 #182]: #183 |
|
1178 #187 := [quant-intro #184]: #186 |
|
1179 #627 := [monotonicity #187 #624]: #626 |
|
1180 #633 := [trans #627 #631]: #632 |
|
1181 #636 := [monotonicity #633]: #635 |
|
1182 #641 := [trans #636 #639]: #640 |
|
1183 #644 := [monotonicity #641]: #643 |
|
1184 #648 := [trans #644 #646]: #647 |
|
1185 #651 := [monotonicity #172 #648]: #650 |
|
1186 #657 := [trans #651 #655]: #656 |
|
1187 #660 := [monotonicity #657 #172]: #659 |
|
1188 #665 := [trans #660 #663]: #664 |
|
1189 #668 := [monotonicity #170 #665]: #667 |
|
1190 #674 := [trans #668 #672]: #673 |
|
1191 #677 := [monotonicity #674 #170]: #676 |
|
1192 #682 := [trans #677 #680]: #681 |
|
1193 #162 := (iff #15 #161) |
|
1194 #159 := (iff #14 #158) |
|
1195 #156 := (iff #13 #12) |
|
1196 #157 := [rewrite]: #156 |
|
1197 #160 := [monotonicity #157]: #159 |
|
1198 #163 := [monotonicity #160]: #162 |
|
1199 #685 := [monotonicity #163 #682]: #684 |
|
1200 #691 := [trans #685 #689]: #690 |
|
1201 #694 := [monotonicity #691]: #693 |
|
1202 #699 := [trans #694 #697]: #698 |
|
1203 #702 := [monotonicity #699]: #701 |
|
1204 #706 := [trans #702 #704]: #705 |
|
1205 #709 := [monotonicity #706]: #708 |
|
1206 #715 := [trans #709 #713]: #714 |
|
1207 #718 := [monotonicity #715]: #717 |
|
1208 #722 := [trans #718 #720]: #721 |
|
1209 #725 := [monotonicity #722]: #724 |
|
1210 #1107 := [trans #725 #1105]: #1106 |
|
1211 #155 := [asserted]: #139 |
|
1212 #1108 := [mp #155 #1107]: #1103 |
|
1213 #1109 := [not-or-elim #1108]: #9 |
|
1214 #2193 := [trans #1109 #2192]: #2202 |
|
1215 #1888 := (not #1154) |
|
1216 #1974 := (or #1540 #1888) |
|
1217 #1889 := [def-axiom]: #1974 |
|
1218 #2194 := [unit-resolution #1889 #2205]: #1888 |
|
1219 #2195 := (not #2202) |
|
1220 #2196 := (or #2195 #1154) |
|
1221 #2197 := [th-lemma]: #2196 |
|
1222 #2198 := [unit-resolution #2197 #2194 #2193]: false |
|
1223 #2199 := [lemma #2198]: #1540 |
|
1224 #2393 := (or #1545 #2390) |
|
1225 #1708 := (forall (vars (?x7 int)) #1705) |
|
1226 #1801 := (or #1708 #1798) |
|
1227 #1804 := (not #1801) |
|
1228 #1807 := (or #560 #551 #542 #886 #1654 #927 #1804) |
|
1229 #1810 := (not #1807) |
|
1230 #1612 := (forall (vars (?x3 int)) #1607) |
|
1231 #1618 := (not #1612) |
|
1232 #1619 := (or #221 #1618) |
|
1233 #1620 := (not #1619) |
|
1234 #1648 := (or #1620 #1645) |
|
1235 #1657 := (not #1648) |
|
1236 #1667 := (or #367 #401 #376 #886 #1654 #1655 #1656 #840 #850 #1657) |
|
1237 #1668 := (not #1667) |
|
1238 #1658 := (or #310 #301 #886 #1654 #1655 #1656 #840 #854 #1657) |
|
1239 #1659 := (not #1658) |
|
1240 #1673 := (or #1659 #1668) |
|
1241 #1679 := (not #1673) |
|
1242 #1680 := (or #886 #1654 #926 #1679) |
|
1243 #1681 := (not #1680) |
|
1244 #1813 := (or #1681 #1810) |
|
1245 #1816 := (not #1813) |
|
1246 #1590 := (forall (vars (?x2 int)) #1585) |
|
1247 #1784 := (not #1590) |
|
1248 #1568 := (forall (vars (?x1 int)) #1563) |
|
1249 #1783 := (not #1568) |
|
1250 #1819 := (or #619 #886 #1654 #1783 #1784 #1816) |
|
1251 #1822 := (not #1819) |
|
1252 #1825 := (or #1545 #1822) |
|
1253 #2394 := (iff #1825 #2393) |
|
1254 #2391 := (iff #1822 #2390) |
|
1255 #2388 := (iff #1819 #2387) |
|
1256 #2385 := (iff #1816 #2384) |
|
1257 #2382 := (iff #1813 #2381) |
|
1258 #2379 := (iff #1810 #2378) |
|
1259 #2376 := (iff #1807 #2375) |
|
1260 #2373 := (iff #1804 #2372) |
|
1261 #2370 := (iff #1801 #2369) |
|
1262 #2367 := (iff #1708 #2364) |
|
1263 #2365 := (iff #1705 #1705) |
|
1264 #2366 := [refl]: #2365 |
|
1265 #2368 := [quant-intro #2366]: #2367 |
|
1266 #2371 := [monotonicity #2368]: #2370 |
|
1267 #2374 := [monotonicity #2371]: #2373 |
|
1268 #2377 := [monotonicity #2374]: #2376 |
|
1269 #2380 := [monotonicity #2377]: #2379 |
|
1270 #2362 := (iff #1681 #2361) |
|
1271 #2359 := (iff #1680 #2358) |
|
1272 #2356 := (iff #1679 #2355) |
|
1273 #2353 := (iff #1673 #2352) |
|
1274 #2350 := (iff #1668 #2349) |
|
1275 #2347 := (iff #1667 #2346) |
|
1276 #2338 := (iff #1657 #2337) |
|
1277 #2335 := (iff #1648 #2334) |
|
1278 #2332 := (iff #1620 #2331) |
|
1279 #2329 := (iff #1619 #2328) |
|
1280 #2326 := (iff #1618 #2325) |
|
1281 #2323 := (iff #1612 #2320) |
|
1282 #2321 := (iff #1607 #1607) |
|
1283 #2322 := [refl]: #2321 |
|
1284 #2324 := [quant-intro #2322]: #2323 |
|
1285 #2327 := [monotonicity #2324]: #2326 |
|
1286 #2330 := [monotonicity #2327]: #2329 |
|
1287 #2333 := [monotonicity #2330]: #2332 |
|
1288 #2336 := [monotonicity #2333]: #2335 |
|
1289 #2339 := [monotonicity #2336]: #2338 |
|
1290 #2348 := [monotonicity #2339]: #2347 |
|
1291 #2351 := [monotonicity #2348]: #2350 |
|
1292 #2344 := (iff #1659 #2343) |
|
1293 #2341 := (iff #1658 #2340) |
|
1294 #2342 := [monotonicity #2339]: #2341 |
|
1295 #2345 := [monotonicity #2342]: #2344 |
|
1296 #2354 := [monotonicity #2345 #2351]: #2353 |
|
1297 #2357 := [monotonicity #2354]: #2356 |
|
1298 #2360 := [monotonicity #2357]: #2359 |
|
1299 #2363 := [monotonicity #2360]: #2362 |
|
1300 #2383 := [monotonicity #2363 #2380]: #2382 |
|
1301 #2386 := [monotonicity #2383]: #2385 |
|
1302 #2318 := (iff #1784 #2317) |
|
1303 #2315 := (iff #1590 #2312) |
|
1304 #2313 := (iff #1585 #1585) |
|
1305 #2314 := [refl]: #2313 |
|
1306 #2316 := [quant-intro #2314]: #2315 |
|
1307 #2319 := [monotonicity #2316]: #2318 |
|
1308 #2310 := (iff #1783 #2309) |
|
1309 #2307 := (iff #1568 #2304) |
|
1310 #2305 := (iff #1563 #1563) |
|
1311 #2306 := [refl]: #2305 |
|
1312 #2308 := [quant-intro #2306]: #2307 |
|
1313 #2311 := [monotonicity #2308]: #2310 |
|
1314 #2389 := [monotonicity #2311 #2319 #2386]: #2388 |
|
1315 #2392 := [monotonicity #2389]: #2391 |
|
1316 #2395 := [monotonicity #2392]: #2394 |
|
1317 #1304 := (not #1303) |
|
1318 #1481 := (and #1304 #1305) |
|
1319 #1484 := (not #1481) |
|
1320 #1500 := (or #1484 #1495) |
|
1321 #1503 := (not #1500) |
|
1322 #1283 := (not #1282) |
|
1323 #1472 := (and #1283 #1284) |
|
1324 #1475 := (not #1472) |
|
1325 #1478 := (or #1469 #1475) |
|
1326 #1506 := (and #1478 #1503) |
|
1327 #1273 := (not #963) |
|
1328 #1276 := (forall (vars (?x7 int)) #1273) |
|
1329 #1509 := (or #1276 #1506) |
|
1330 #1515 := (and #466 #469 #472 #776 #779 #926 #1509) |
|
1331 #1401 := (not #1396) |
|
1332 #1404 := (and #1192 #1401) |
|
1333 #1407 := (not #1404) |
|
1334 #1410 := (or #1383 #1407) |
|
1335 #1413 := (not #1410) |
|
1336 #1204 := (not #221) |
|
1337 #1214 := (and #1204 #819) |
|
1338 #1419 := (or #1214 #1413) |
|
1339 #1447 := (and #82 #356 #361 #776 #779 #788 #791 #837 #854 #1419) |
|
1340 #1431 := (and #191 #194 #776 #779 #788 #791 #837 #850 #1419) |
|
1341 #1452 := (or #1431 #1447) |
|
1342 #1458 := (and #776 #779 #927 #1452) |
|
1343 #1520 := (or #1458 #1515) |
|
1344 #1526 := (and #188 #769 #776 #779 #1043 #1520) |
|
1345 #1348 := (and #1155 #1157) |
|
1346 #1351 := (not #1348) |
|
1347 #1357 := (or #1154 #1351) |
|
1348 #1362 := (not #1357) |
|
1349 #1531 := (or #1362 #1526) |
|
1350 #1828 := (iff #1531 #1825) |
|
1351 #1746 := (or #1303 #1731 #1495) |
|
1352 #1758 := (or #1757 #1746) |
|
1353 #1759 := (not #1758) |
|
1354 #1764 := (or #1708 #1759) |
|
1355 #1770 := (not #1764) |
|
1356 #1771 := (or #560 #551 #542 #886 #1654 #927 #1770) |
|
1357 #1772 := (not #1771) |
|
1358 #1777 := (or #1681 #1772) |
|
1359 #1785 := (not #1777) |
|
1360 #1786 := (or #619 #886 #1654 #1783 #1784 #1785) |
|
1361 #1787 := (not #1786) |
|
1362 #1792 := (or #1545 #1787) |
|
1363 #1826 := (iff #1792 #1825) |
|
1364 #1823 := (iff #1787 #1822) |
|
1365 #1820 := (iff #1786 #1819) |
|
1366 #1817 := (iff #1785 #1816) |
|
1367 #1814 := (iff #1777 #1813) |
|
1368 #1811 := (iff #1772 #1810) |
|
1369 #1808 := (iff #1771 #1807) |
|
1370 #1805 := (iff #1770 #1804) |
|
1371 #1802 := (iff #1764 #1801) |
|
1372 #1799 := (iff #1759 #1798) |
|
1373 #1796 := (iff #1758 #1795) |
|
1374 #1797 := [rewrite]: #1796 |
|
1375 #1800 := [monotonicity #1797]: #1799 |
|
1376 #1803 := [monotonicity #1800]: #1802 |
|
1377 #1806 := [monotonicity #1803]: #1805 |
|
1378 #1809 := [monotonicity #1806]: #1808 |
|
1379 #1812 := [monotonicity #1809]: #1811 |
|
1380 #1815 := [monotonicity #1812]: #1814 |
|
1381 #1818 := [monotonicity #1815]: #1817 |
|
1382 #1821 := [monotonicity #1818]: #1820 |
|
1383 #1824 := [monotonicity #1821]: #1823 |
|
1384 #1827 := [monotonicity #1824]: #1826 |
|
1385 #1793 := (iff #1531 #1792) |
|
1386 #1790 := (iff #1526 #1787) |
|
1387 #1780 := (and #188 #1568 #776 #779 #1590 #1777) |
|
1388 #1788 := (iff #1780 #1787) |
|
1389 #1789 := [rewrite]: #1788 |
|
1390 #1781 := (iff #1526 #1780) |
|
1391 #1778 := (iff #1520 #1777) |
|
1392 #1775 := (iff #1515 #1772) |
|
1393 #1767 := (and #466 #469 #472 #776 #779 #926 #1764) |
|
1394 #1773 := (iff #1767 #1772) |
|
1395 #1774 := [rewrite]: #1773 |
|
1396 #1768 := (iff #1515 #1767) |
|
1397 #1765 := (iff #1509 #1764) |
|
1398 #1762 := (iff #1506 #1759) |
|
1399 #1751 := (not #1746) |
|
1400 #1754 := (and #1726 #1751) |
|
1401 #1760 := (iff #1754 #1759) |
|
1402 #1761 := [rewrite]: #1760 |
|
1403 #1755 := (iff #1506 #1754) |
|
1404 #1752 := (iff #1503 #1751) |
|
1405 #1749 := (iff #1500 #1746) |
|
1406 #1732 := (or #1303 #1731) |
|
1407 #1743 := (or #1732 #1495) |
|
1408 #1747 := (iff #1743 #1746) |
|
1409 #1748 := [rewrite]: #1747 |
|
1410 #1744 := (iff #1500 #1743) |
|
1411 #1741 := (iff #1484 #1732) |
|
1412 #1733 := (not #1732) |
|
1413 #1736 := (not #1733) |
|
1414 #1739 := (iff #1736 #1732) |
|
1415 #1740 := [rewrite]: #1739 |
|
1416 #1737 := (iff #1484 #1736) |
|
1417 #1734 := (iff #1481 #1733) |
|
1418 #1735 := [rewrite]: #1734 |
|
1419 #1738 := [monotonicity #1735]: #1737 |
|
1420 #1742 := [trans #1738 #1740]: #1741 |
|
1421 #1745 := [monotonicity #1742]: #1744 |
|
1422 #1750 := [trans #1745 #1748]: #1749 |
|
1423 #1753 := [monotonicity #1750]: #1752 |
|
1424 #1729 := (iff #1478 #1726) |
|
1425 #1712 := (or #1282 #1711) |
|
1426 #1723 := (or #1469 #1712) |
|
1427 #1727 := (iff #1723 #1726) |
|
1428 #1728 := [rewrite]: #1727 |
|
1429 #1724 := (iff #1478 #1723) |
|
1430 #1721 := (iff #1475 #1712) |
|
1431 #1713 := (not #1712) |
|
1432 #1716 := (not #1713) |
|
1433 #1719 := (iff #1716 #1712) |
|
1434 #1720 := [rewrite]: #1719 |
|
1435 #1717 := (iff #1475 #1716) |
|
1436 #1714 := (iff #1472 #1713) |
|
1437 #1715 := [rewrite]: #1714 |
|
1438 #1718 := [monotonicity #1715]: #1717 |
|
1439 #1722 := [trans #1718 #1720]: #1721 |
|
1440 #1725 := [monotonicity #1722]: #1724 |
|
1441 #1730 := [trans #1725 #1728]: #1729 |
|
1442 #1756 := [monotonicity #1730 #1753]: #1755 |
|
1443 #1763 := [trans #1756 #1761]: #1762 |
|
1444 #1709 := (iff #1276 #1708) |
|
1445 #1706 := (iff #1273 #1705) |
|
1446 #1703 := (iff #963 #1700) |
|
1447 #1686 := (or #1548 #953) |
|
1448 #1697 := (or #105 #1686) |
|
1449 #1701 := (iff #1697 #1700) |
|
1450 #1702 := [rewrite]: #1701 |
|
1451 #1698 := (iff #963 #1697) |
|
1452 #1695 := (iff #960 #1686) |
|
1453 #1687 := (not #1686) |
|
1454 #1690 := (not #1687) |
|
1455 #1693 := (iff #1690 #1686) |
|
1456 #1694 := [rewrite]: #1693 |
|
1457 #1691 := (iff #960 #1690) |
|
1458 #1688 := (iff #957 #1687) |
|
1459 #1689 := [rewrite]: #1688 |
|
1460 #1692 := [monotonicity #1689]: #1691 |
|
1461 #1696 := [trans #1692 #1694]: #1695 |
|
1462 #1699 := [monotonicity #1696]: #1698 |
|
1463 #1704 := [trans #1699 #1702]: #1703 |
|
1464 #1707 := [monotonicity #1704]: #1706 |
|
1465 #1710 := [quant-intro #1707]: #1709 |
|
1466 #1766 := [monotonicity #1710 #1763]: #1765 |
|
1467 #1769 := [monotonicity #1766]: #1768 |
|
1468 #1776 := [trans #1769 #1774]: #1775 |
|
1469 #1684 := (iff #1458 #1681) |
|
1470 #1676 := (and #776 #779 #927 #1673) |
|
1471 #1682 := (iff #1676 #1681) |
|
1472 #1683 := [rewrite]: #1682 |
|
1473 #1677 := (iff #1458 #1676) |
|
1474 #1674 := (iff #1452 #1673) |
|
1475 #1671 := (iff #1447 #1668) |
|
1476 #1664 := (and #82 #356 #361 #776 #779 #788 #791 #837 #854 #1648) |
|
1477 #1669 := (iff #1664 #1668) |
|
1478 #1670 := [rewrite]: #1669 |
|
1479 #1665 := (iff #1447 #1664) |
|
1480 #1649 := (iff #1419 #1648) |
|
1481 #1646 := (iff #1413 #1645) |
|
1482 #1643 := (iff #1410 #1640) |
|
1483 #1626 := (or #1625 #1396) |
|
1484 #1637 := (or #1383 #1626) |
|
1485 #1641 := (iff #1637 #1640) |
|
1486 #1642 := [rewrite]: #1641 |
|
1487 #1638 := (iff #1410 #1637) |
|
1488 #1635 := (iff #1407 #1626) |
|
1489 #1627 := (not #1626) |
|
1490 #1630 := (not #1627) |
|
1491 #1633 := (iff #1630 #1626) |
|
1492 #1634 := [rewrite]: #1633 |
|
1493 #1631 := (iff #1407 #1630) |
|
1494 #1628 := (iff #1404 #1627) |
|
1495 #1629 := [rewrite]: #1628 |
|
1496 #1632 := [monotonicity #1629]: #1631 |
|
1497 #1636 := [trans #1632 #1634]: #1635 |
|
1498 #1639 := [monotonicity #1636]: #1638 |
|
1499 #1644 := [trans #1639 #1642]: #1643 |
|
1500 #1647 := [monotonicity #1644]: #1646 |
|
1501 #1623 := (iff #1214 #1620) |
|
1502 #1615 := (and #1204 #1612) |
|
1503 #1621 := (iff #1615 #1620) |
|
1504 #1622 := [rewrite]: #1621 |
|
1505 #1616 := (iff #1214 #1615) |
|
1506 #1613 := (iff #819 #1612) |
|
1507 #1610 := (iff #816 #1607) |
|
1508 #1593 := (or #1548 #805) |
|
1509 #1604 := (or #801 #1593) |
|
1510 #1608 := (iff #1604 #1607) |
|
1511 #1609 := [rewrite]: #1608 |
|
1512 #1605 := (iff #816 #1604) |
|
1513 #1602 := (iff #813 #1593) |
|
1514 #1594 := (not #1593) |
|
1515 #1597 := (not #1594) |
|
1516 #1600 := (iff #1597 #1593) |
|
1517 #1601 := [rewrite]: #1600 |
|
1518 #1598 := (iff #813 #1597) |
|
1519 #1595 := (iff #810 #1594) |
|
1520 #1596 := [rewrite]: #1595 |
|
1521 #1599 := [monotonicity #1596]: #1598 |
|
1522 #1603 := [trans #1599 #1601]: #1602 |
|
1523 #1606 := [monotonicity #1603]: #1605 |
|
1524 #1611 := [trans #1606 #1609]: #1610 |
|
1525 #1614 := [quant-intro #1611]: #1613 |
|
1526 #1617 := [monotonicity #1614]: #1616 |
|
1527 #1624 := [trans #1617 #1622]: #1623 |
|
1528 #1650 := [monotonicity #1624 #1647]: #1649 |
|
1529 #1666 := [monotonicity #1650]: #1665 |
|
1530 #1672 := [trans #1666 #1670]: #1671 |
|
1531 #1662 := (iff #1431 #1659) |
|
1532 #1651 := (and #191 #194 #776 #779 #788 #791 #837 #850 #1648) |
|
1533 #1660 := (iff #1651 #1659) |
|
1534 #1661 := [rewrite]: #1660 |
|
1535 #1652 := (iff #1431 #1651) |
|
1536 #1653 := [monotonicity #1650]: #1652 |
|
1537 #1663 := [trans #1653 #1661]: #1662 |
|
1538 #1675 := [monotonicity #1663 #1672]: #1674 |
|
1539 #1678 := [monotonicity #1675]: #1677 |
|
1540 #1685 := [trans #1678 #1683]: #1684 |
|
1541 #1779 := [monotonicity #1685 #1776]: #1778 |
|
1542 #1591 := (iff #1043 #1590) |
|
1543 #1588 := (iff #1040 #1585) |
|
1544 #1571 := (or #1548 #1029) |
|
1545 #1582 := (or #1026 #1571) |
|
1546 #1586 := (iff #1582 #1585) |
|
1547 #1587 := [rewrite]: #1586 |
|
1548 #1583 := (iff #1040 #1582) |
|
1549 #1580 := (iff #1037 #1571) |
|
1550 #1572 := (not #1571) |
|
1551 #1575 := (not #1572) |
|
1552 #1578 := (iff #1575 #1571) |
|
1553 #1579 := [rewrite]: #1578 |
|
1554 #1576 := (iff #1037 #1575) |
|
1555 #1573 := (iff #1034 #1572) |
|
1556 #1574 := [rewrite]: #1573 |
|
1557 #1577 := [monotonicity #1574]: #1576 |
|
1558 #1581 := [trans #1577 #1579]: #1580 |
|
1559 #1584 := [monotonicity #1581]: #1583 |
|
1560 #1589 := [trans #1584 #1587]: #1588 |
|
1561 #1592 := [quant-intro #1589]: #1591 |
|
1562 #1569 := (iff #769 #1568) |
|
1563 #1566 := (iff #766 #1563) |
|
1564 #1549 := (or #749 #1548) |
|
1565 #1560 := (or #1549 #762) |
|
1566 #1564 := (iff #1560 #1563) |
|
1567 #1565 := [rewrite]: #1564 |
|
1568 #1561 := (iff #766 #1560) |
|
1569 #1558 := (iff #757 #1549) |
|
1570 #1550 := (not #1549) |
|
1571 #1553 := (not #1550) |
|
1572 #1556 := (iff #1553 #1549) |
|
1573 #1557 := [rewrite]: #1556 |
|
1574 #1554 := (iff #757 #1553) |
|
1575 #1551 := (iff #754 #1550) |
|
1576 #1552 := [rewrite]: #1551 |
|
1577 #1555 := [monotonicity #1552]: #1554 |
|
1578 #1559 := [trans #1555 #1557]: #1558 |
|
1579 #1562 := [monotonicity #1559]: #1561 |
|
1580 #1567 := [trans #1562 #1565]: #1566 |
|
1581 #1570 := [quant-intro #1567]: #1569 |
|
1582 #1782 := [monotonicity #1570 #1592 #1779]: #1781 |
|
1583 #1791 := [trans #1782 #1789]: #1790 |
|
1584 #1546 := (iff #1362 #1545) |
|
1585 #1543 := (iff #1357 #1540) |
|
1586 #1165 := (or #1164 #1156) |
|
1587 #1537 := (or #1154 #1165) |
|
1588 #1541 := (iff #1537 #1540) |
|
1589 #1542 := [rewrite]: #1541 |
|
1590 #1538 := (iff #1357 #1537) |
|
1591 #1535 := (iff #1351 #1165) |
|
1592 #1292 := (not #1165) |
|
1593 #1314 := (not #1292) |
|
1594 #1347 := (iff #1314 #1165) |
|
1595 #1534 := [rewrite]: #1347 |
|
1596 #1202 := (iff #1351 #1314) |
|
1597 #1293 := (iff #1348 #1292) |
|
1598 #1313 := [rewrite]: #1293 |
|
1599 #1203 := [monotonicity #1313]: #1202 |
|
1600 #1536 := [trans #1203 #1534]: #1535 |
|
1601 #1539 := [monotonicity #1536]: #1538 |
|
1602 #1544 := [trans #1539 #1542]: #1543 |
|
1603 #1547 := [monotonicity #1544]: #1546 |
|
1604 #1794 := [monotonicity #1547 #1791]: #1793 |
|
1605 #1829 := [trans #1794 #1827]: #1828 |
|
1606 #1299 := (+ #1298 #972) |
|
1607 #1300 := (<= #1299 0::int) |
|
1608 #1306 := (and #1305 #1304) |
|
1609 #1307 := (not #1306) |
|
1610 #1308 := (or #1307 #1300) |
|
1611 #1309 := (not #1308) |
|
1612 #1285 := (and #1284 #1283) |
|
1613 #1286 := (not #1285) |
|
1614 #1288 := (= #1287 uf_12) |
|
1615 #1289 := (or #1288 #1286) |
|
1616 #1315 := (and #1289 #1309) |
|
1617 #1319 := (or #1276 #1315) |
|
1618 #1176 := (not #784) |
|
1619 #1268 := (not #542) |
|
1620 #1265 := (not #551) |
|
1621 #1262 := (not #560) |
|
1622 #1323 := (and #1262 #1265 #1268 #1176 #930 #1319) |
|
1623 #1225 := (not #846) |
|
1624 #1222 := (not #840) |
|
1625 #1189 := (+ ?x3!1 #806) |
|
1626 #1190 := (>= #1189 0::int) |
|
1627 #1191 := (not #1190) |
|
1628 #1193 := (and #1192 #1191) |
|
1629 #1194 := (not #1193) |
|
1630 #1196 := (+ #1195 #799) |
|
1631 #1197 := (<= #1196 0::int) |
|
1632 #1198 := (or #1197 #1194) |
|
1633 #1199 := (not #1198) |
|
1634 #1218 := (or #1199 #1214) |
|
1635 #1185 := (not #796) |
|
1636 #1243 := (not #886) |
|
1637 #1240 := (not #376) |
|
1638 #1237 := (not #401) |
|
1639 #1234 := (not #367) |
|
1640 #1248 := (and #1234 #1237 #1240 #1243 #1176 #1185 #1218 #1222 #1225 #854) |
|
1641 #1182 := (not #301) |
|
1642 #1179 := (not #310) |
|
1643 #1230 := (and #1179 #1182 #1176 #1185 #1218 #1222 #1225 #891) |
|
1644 #1252 := (or #1230 #1248) |
|
1645 #1258 := (and #1176 #1252 #927) |
|
1646 #1327 := (or #1258 #1323) |
|
1647 #1166 := (not #619) |
|
1648 #1338 := (and #1166 #769 #1176 #1327 #1043) |
|
1649 #1158 := (and #1157 #1155) |
|
1650 #1159 := (not #1158) |
|
1651 #1160 := (or #1159 #1154) |
|
1652 #1161 := (not #1160) |
|
1653 #1342 := (or #1161 #1338) |
|
1654 #1532 := (iff #1342 #1531) |
|
1655 #1529 := (iff #1338 #1526) |
|
1656 #1523 := (and #188 #769 #781 #1520 #1043) |
|
1657 #1527 := (iff #1523 #1526) |
|
1658 #1528 := [rewrite]: #1527 |
|
1659 #1524 := (iff #1338 #1523) |
|
1660 #1521 := (iff #1327 #1520) |
|
1661 #1518 := (iff #1323 #1515) |
|
1662 #1512 := (and #466 #469 #472 #781 #926 #1509) |
|
1663 #1516 := (iff #1512 #1515) |
|
1664 #1517 := [rewrite]: #1516 |
|
1665 #1513 := (iff #1323 #1512) |
|
1666 #1510 := (iff #1319 #1509) |
|
1667 #1507 := (iff #1315 #1506) |
|
1668 #1504 := (iff #1309 #1503) |
|
1669 #1501 := (iff #1308 #1500) |
|
1670 #1498 := (iff #1300 #1495) |
|
1671 #1487 := (+ #972 #1298) |
|
1672 #1490 := (<= #1487 0::int) |
|
1673 #1496 := (iff #1490 #1495) |
|
1674 #1497 := [rewrite]: #1496 |
|
1675 #1491 := (iff #1300 #1490) |
|
1676 #1488 := (= #1299 #1487) |
|
1677 #1489 := [rewrite]: #1488 |
|
1678 #1492 := [monotonicity #1489]: #1491 |
|
1679 #1499 := [trans #1492 #1497]: #1498 |
|
1680 #1485 := (iff #1307 #1484) |
|
1681 #1482 := (iff #1306 #1481) |
|
1682 #1483 := [rewrite]: #1482 |
|
1683 #1486 := [monotonicity #1483]: #1485 |
|
1684 #1502 := [monotonicity #1486 #1499]: #1501 |
|
1685 #1505 := [monotonicity #1502]: #1504 |
|
1686 #1479 := (iff #1289 #1478) |
|
1687 #1476 := (iff #1286 #1475) |
|
1688 #1473 := (iff #1285 #1472) |
|
1689 #1474 := [rewrite]: #1473 |
|
1690 #1477 := [monotonicity #1474]: #1476 |
|
1691 #1470 := (iff #1288 #1469) |
|
1692 #1471 := [rewrite]: #1470 |
|
1693 #1480 := [monotonicity #1471 #1477]: #1479 |
|
1694 #1508 := [monotonicity #1480 #1505]: #1507 |
|
1695 #1511 := [monotonicity #1508]: #1510 |
|
1696 #1367 := (iff #1176 #781) |
|
1697 #1368 := [rewrite]: #1367 |
|
1698 #1467 := (iff #1268 #472) |
|
1699 #1468 := [rewrite]: #1467 |
|
1700 #1465 := (iff #1265 #469) |
|
1701 #1466 := [rewrite]: #1465 |
|
1702 #1463 := (iff #1262 #466) |
|
1703 #1464 := [rewrite]: #1463 |
|
1704 #1514 := [monotonicity #1464 #1466 #1468 #1368 #934 #1511]: #1513 |
|
1705 #1519 := [trans #1514 #1517]: #1518 |
|
1706 #1461 := (iff #1258 #1458) |
|
1707 #1455 := (and #781 #1452 #927) |
|
1708 #1459 := (iff #1455 #1458) |
|
1709 #1460 := [rewrite]: #1459 |
|
1710 #1456 := (iff #1258 #1455) |
|
1711 #1453 := (iff #1252 #1452) |
|
1712 #1450 := (iff #1248 #1447) |
|
1713 #1444 := (and #82 #356 #361 #776 #781 #793 #1419 #837 #843 #854) |
|
1714 #1448 := (iff #1444 #1447) |
|
1715 #1449 := [rewrite]: #1448 |
|
1716 #1445 := (iff #1248 #1444) |
|
1717 #1426 := (iff #1225 #843) |
|
1718 #1427 := [rewrite]: #1426 |
|
1719 #1424 := (iff #1222 #837) |
|
1720 #1425 := [rewrite]: #1424 |
|
1721 #1422 := (iff #1218 #1419) |
|
1722 #1416 := (or #1413 #1214) |
|
1723 #1420 := (iff #1416 #1419) |
|
1724 #1421 := [rewrite]: #1420 |
|
1725 #1417 := (iff #1218 #1416) |
|
1726 #1414 := (iff #1199 #1413) |
|
1727 #1411 := (iff #1198 #1410) |
|
1728 #1408 := (iff #1194 #1407) |
|
1729 #1405 := (iff #1193 #1404) |
|
1730 #1402 := (iff #1191 #1401) |
|
1731 #1399 := (iff #1190 #1396) |
|
1732 #1388 := (+ #806 ?x3!1) |
|
1733 #1391 := (>= #1388 0::int) |
|
1734 #1397 := (iff #1391 #1396) |
|
1735 #1398 := [rewrite]: #1397 |
|
1736 #1392 := (iff #1190 #1391) |
|
1737 #1389 := (= #1189 #1388) |
|
1738 #1390 := [rewrite]: #1389 |
|
1739 #1393 := [monotonicity #1390]: #1392 |
|
1740 #1400 := [trans #1393 #1398]: #1399 |
|
1741 #1403 := [monotonicity #1400]: #1402 |
|
1742 #1406 := [monotonicity #1403]: #1405 |
|
1743 #1409 := [monotonicity #1406]: #1408 |
|
1744 #1386 := (iff #1197 #1383) |
|
1745 #1375 := (+ #799 #1195) |
|
1746 #1378 := (<= #1375 0::int) |
|
1747 #1384 := (iff #1378 #1383) |
|
1748 #1385 := [rewrite]: #1384 |
|
1749 #1379 := (iff #1197 #1378) |
|
1750 #1376 := (= #1196 #1375) |
|
1751 #1377 := [rewrite]: #1376 |
|
1752 #1380 := [monotonicity #1377]: #1379 |
|
1753 #1387 := [trans #1380 #1385]: #1386 |
|
1754 #1412 := [monotonicity #1387 #1409]: #1411 |
|
1755 #1415 := [monotonicity #1412]: #1414 |
|
1756 #1418 := [monotonicity #1415]: #1417 |
|
1757 #1423 := [trans #1418 #1421]: #1422 |
|
1758 #1373 := (iff #1185 #793) |
|
1759 #1374 := [rewrite]: #1373 |
|
1760 #1442 := (iff #1243 #776) |
|
1761 #1443 := [rewrite]: #1442 |
|
1762 #1440 := (iff #1240 #361) |
|
1763 #1441 := [rewrite]: #1440 |
|
1764 #1438 := (iff #1237 #356) |
|
1765 #1439 := [rewrite]: #1438 |
|
1766 #1436 := (iff #1234 #82) |
|
1767 #1437 := [rewrite]: #1436 |
|
1768 #1446 := [monotonicity #1437 #1439 #1441 #1443 #1368 #1374 #1423 #1425 #1427]: #1445 |
|
1769 #1451 := [trans #1446 #1449]: #1450 |
|
1770 #1434 := (iff #1230 #1431) |
|
1771 #1428 := (and #191 #194 #781 #793 #1419 #837 #843 #850) |
|
1772 #1432 := (iff #1428 #1431) |
|
1773 #1433 := [rewrite]: #1432 |
|
1774 #1429 := (iff #1230 #1428) |
|
1775 #1371 := (iff #1182 #194) |
|
1776 #1372 := [rewrite]: #1371 |
|
1777 #1369 := (iff #1179 #191) |
|
1778 #1370 := [rewrite]: #1369 |
|
1779 #1430 := [monotonicity #1370 #1372 #1368 #1374 #1423 #1425 #1427 #895]: #1429 |
|
1780 #1435 := [trans #1430 #1433]: #1434 |
|
1781 #1454 := [monotonicity #1435 #1451]: #1453 |
|
1782 #1457 := [monotonicity #1368 #1454]: #1456 |
|
1783 #1462 := [trans #1457 #1460]: #1461 |
|
1784 #1522 := [monotonicity #1462 #1519]: #1521 |
|
1785 #1365 := (iff #1166 #188) |
|
1786 #1366 := [rewrite]: #1365 |
|
1787 #1525 := [monotonicity #1366 #1368 #1522]: #1524 |
|
1788 #1530 := [trans #1525 #1528]: #1529 |
|
1789 #1363 := (iff #1161 #1362) |
|
1790 #1360 := (iff #1160 #1357) |
|
1791 #1354 := (or #1351 #1154) |
|
1792 #1358 := (iff #1354 #1357) |
|
1793 #1359 := [rewrite]: #1358 |
|
1794 #1355 := (iff #1160 #1354) |
|
1795 #1352 := (iff #1159 #1351) |
|
1796 #1349 := (iff #1158 #1348) |
|
1797 #1350 := [rewrite]: #1349 |
|
1798 #1353 := [monotonicity #1350]: #1352 |
|
1799 #1356 := [monotonicity #1353]: #1355 |
|
1800 #1361 := [trans #1356 #1359]: #1360 |
|
1801 #1364 := [monotonicity #1361]: #1363 |
|
1802 #1533 := [monotonicity #1364 #1530]: #1532 |
|
1803 #1138 := (or #619 #772 #784 #1021 #1046) |
|
1804 #1143 := (and #769 #1138) |
|
1805 #1146 := (not #1143) |
|
1806 #1343 := (~ #1146 #1342) |
|
1807 #1339 := (not #1138) |
|
1808 #1340 := (~ #1339 #1338) |
|
1809 #1335 := (not #1046) |
|
1810 #1336 := (~ #1335 #1043) |
|
1811 #1333 := (~ #1043 #1043) |
|
1812 #1331 := (~ #1040 #1040) |
|
1813 #1332 := [refl]: #1331 |
|
1814 #1334 := [nnf-pos #1332]: #1333 |
|
1815 #1337 := [nnf-neg #1334]: #1336 |
|
1816 #1328 := (not #1021) |
|
1817 #1329 := (~ #1328 #1327) |
|
1818 #1324 := (not #1016) |
|
1819 #1325 := (~ #1324 #1323) |
|
1820 #1320 := (not #991) |
|
1821 #1321 := (~ #1320 #1319) |
|
1822 #1316 := (not #988) |
|
1823 #1317 := (~ #1316 #1315) |
|
1824 #1310 := (not #985) |
|
1825 #1311 := (~ #1310 #1309) |
|
1826 #1312 := [sk]: #1311 |
|
1827 #1294 := (not #969) |
|
1828 #1295 := (~ #1294 #1289) |
|
1829 #1290 := (~ #966 #1289) |
|
1830 #1291 := [sk]: #1290 |
|
1831 #1296 := [nnf-neg #1291]: #1295 |
|
1832 #1318 := [nnf-neg #1296 #1312]: #1317 |
|
1833 #1277 := (~ #969 #1276) |
|
1834 #1274 := (~ #1273 #1273) |
|
1835 #1275 := [refl]: #1274 |
|
1836 #1278 := [nnf-neg #1275]: #1277 |
|
1837 #1322 := [nnf-neg #1278 #1318]: #1321 |
|
1838 #1271 := (~ #930 #930) |
|
1839 #1272 := [refl]: #1271 |
|
1840 #1177 := (~ #1176 #1176) |
|
1841 #1178 := [refl]: #1177 |
|
1842 #1269 := (~ #1268 #1268) |
|
1843 #1270 := [refl]: #1269 |
|
1844 #1266 := (~ #1265 #1265) |
|
1845 #1267 := [refl]: #1266 |
|
1846 #1263 := (~ #1262 #1262) |
|
1847 #1264 := [refl]: #1263 |
|
1848 #1326 := [nnf-neg #1264 #1267 #1270 #1178 #1272 #1322]: #1325 |
|
1849 #1259 := (not #946) |
|
1850 #1260 := (~ #1259 #1258) |
|
1851 #1256 := (~ #927 #927) |
|
1852 #1257 := [refl]: #1256 |
|
1853 #1253 := (not #921) |
|
1854 #1254 := (~ #1253 #1252) |
|
1855 #1249 := (not #916) |
|
1856 #1250 := (~ #1249 #1248) |
|
1857 #1246 := (~ #854 #854) |
|
1858 #1247 := [refl]: #1246 |
|
1859 #1226 := (~ #1225 #1225) |
|
1860 #1227 := [refl]: #1226 |
|
1861 #1223 := (~ #1222 #1222) |
|
1862 #1224 := [refl]: #1223 |
|
1863 #1219 := (not #833) |
|
1864 #1220 := (~ #1219 #1218) |
|
1865 #1215 := (not #828) |
|
1866 #1216 := (~ #1215 #1214) |
|
1867 #1211 := (not #822) |
|
1868 #1212 := (~ #1211 #819) |
|
1869 #1209 := (~ #819 #819) |
|
1870 #1207 := (~ #816 #816) |
|
1871 #1208 := [refl]: #1207 |
|
1872 #1210 := [nnf-pos #1208]: #1209 |
|
1873 #1213 := [nnf-neg #1210]: #1212 |
|
1874 #1205 := (~ #1204 #1204) |
|
1875 #1206 := [refl]: #1205 |
|
1876 #1217 := [nnf-neg #1206 #1213]: #1216 |
|
1877 #1200 := (~ #822 #1199) |
|
1878 #1201 := [sk]: #1200 |
|
1879 #1221 := [nnf-neg #1201 #1217]: #1220 |
|
1880 #1186 := (~ #1185 #1185) |
|
1881 #1187 := [refl]: #1186 |
|
1882 #1244 := (~ #1243 #1243) |
|
1883 #1245 := [refl]: #1244 |
|
1884 #1241 := (~ #1240 #1240) |
|
1885 #1242 := [refl]: #1241 |
|
1886 #1238 := (~ #1237 #1237) |
|
1887 #1239 := [refl]: #1238 |
|
1888 #1235 := (~ #1234 #1234) |
|
1889 #1236 := [refl]: #1235 |
|
1890 #1251 := [nnf-neg #1236 #1239 #1242 #1245 #1178 #1187 #1221 #1224 #1227 #1247]: #1250 |
|
1891 #1231 := (not #881) |
|
1892 #1232 := (~ #1231 #1230) |
|
1893 #1228 := (~ #891 #891) |
|
1894 #1229 := [refl]: #1228 |
|
1895 #1183 := (~ #1182 #1182) |
|
1896 #1184 := [refl]: #1183 |
|
1897 #1180 := (~ #1179 #1179) |
|
1898 #1181 := [refl]: #1180 |
|
1899 #1233 := [nnf-neg #1181 #1184 #1178 #1187 #1221 #1224 #1227 #1229]: #1232 |
|
1900 #1255 := [nnf-neg #1233 #1251]: #1254 |
|
1901 #1261 := [nnf-neg #1178 #1255 #1257]: #1260 |
|
1902 #1330 := [nnf-neg #1261 #1326]: #1329 |
|
1903 #1173 := (not #772) |
|
1904 #1174 := (~ #1173 #769) |
|
1905 #1171 := (~ #769 #769) |
|
1906 #1169 := (~ #766 #766) |
|
1907 #1170 := [refl]: #1169 |
|
1908 #1172 := [nnf-pos #1170]: #1171 |
|
1909 #1175 := [nnf-neg #1172]: #1174 |
|
1910 #1167 := (~ #1166 #1166) |
|
1911 #1168 := [refl]: #1167 |
|
1912 #1341 := [nnf-neg #1168 #1175 #1178 #1330 #1337]: #1340 |
|
1913 #1162 := (~ #772 #1161) |
|
1914 #1163 := [sk]: #1162 |
|
1915 #1344 := [nnf-neg #1163 #1341]: #1343 |
|
1916 #1110 := (not #1075) |
|
1917 #1147 := (iff #1110 #1146) |
|
1918 #1144 := (iff #1075 #1143) |
|
1919 #1141 := (iff #1072 #1138) |
|
1920 #1123 := (or #619 #784 #1021 #1046) |
|
1921 #1135 := (or #772 #1123) |
|
1922 #1139 := (iff #1135 #1138) |
|
1923 #1140 := [rewrite]: #1139 |
|
1924 #1136 := (iff #1072 #1135) |
|
1925 #1133 := (iff #1069 #1123) |
|
1926 #1128 := (and true #1123) |
|
1927 #1131 := (iff #1128 #1123) |
|
1928 #1132 := [rewrite]: #1131 |
|
1929 #1129 := (iff #1069 #1128) |
|
1930 #1126 := (iff #1064 #1123) |
|
1931 #1120 := (or false #619 #784 #1021 #1046) |
|
1932 #1124 := (iff #1120 #1123) |
|
1933 #1125 := [rewrite]: #1124 |
|
1934 #1121 := (iff #1064 #1120) |
|
1935 #1118 := (iff #652 false) |
|
1936 #1116 := (iff #652 #740) |
|
1937 #1115 := (iff #9 true) |
|
1938 #1113 := [iff-true #1109]: #1115 |
|
1939 #1117 := [monotonicity #1113]: #1116 |
|
1940 #1119 := [trans #1117 #744]: #1118 |
|
1941 #1122 := [monotonicity #1119]: #1121 |
|
1942 #1127 := [trans #1122 #1125]: #1126 |
|
1943 #1130 := [monotonicity #1113 #1127]: #1129 |
|
1944 #1134 := [trans #1130 #1132]: #1133 |
|
1945 #1137 := [monotonicity #1134]: #1136 |
|
1946 #1142 := [trans #1137 #1140]: #1141 |
|
1947 #1145 := [monotonicity #1142]: #1144 |
|
1948 #1148 := [monotonicity #1145]: #1147 |
|
1949 #1111 := [not-or-elim #1108]: #1110 |
|
1950 #1149 := [mp #1111 #1148]: #1146 |
|
1951 #1345 := [mp~ #1149 #1344]: #1342 |
|
1952 #1346 := [mp #1345 #1533]: #1531 |
|
1953 #1830 := [mp #1346 #1829]: #1825 |
|
1954 #2396 := [mp #1830 #2395]: #2393 |
|
1955 #1909 := [unit-resolution #2396 #2199]: #2390 |
|
1956 #2214 := (or #2387 #2381) |
|
1957 #2210 := [def-axiom]: #2214 |
|
1958 #2414 := [unit-resolution #2210 #1909]: #2381 |
|
1959 #2426 := (uf_3 uf_11) |
|
1960 #2430 := (= uf_12 #2426) |
|
1961 #2480 := (= #36 #2426) |
|
1962 #2478 := (= #2426 #36) |
|
1963 #2463 := [hypothesis]: #2378 |
|
1964 #2138 := (or #2375 #466) |
|
1965 #2139 := [def-axiom]: #2138 |
|
1966 #2474 := [unit-resolution #2139 #2463]: #466 |
|
1967 #2475 := [symm #2474]: #98 |
|
1968 #2479 := [monotonicity #2475]: #2478 |
|
1969 #2481 := [symm #2479]: #2480 |
|
1970 #2482 := (= uf_12 #36) |
|
1971 #2221 := (or #2387 #188) |
|
1972 #2222 := [def-axiom]: #2221 |
|
1973 #2476 := [unit-resolution #2222 #1909]: #188 |
|
1974 #2132 := (or #2375 #469) |
|
1975 #2140 := [def-axiom]: #2132 |
|
1976 #2466 := [unit-resolution #2140 #2463]: #469 |
|
1977 #2477 := [symm #2466]: #100 |
|
1978 #2483 := [trans #2477 #2476]: #2482 |
|
1979 #2484 := [trans #2483 #2481]: #2430 |
|
1980 #2458 := (not #2430) |
|
1981 #2424 := (>= uf_11 0::int) |
|
1982 #2425 := (not #2424) |
|
1983 #2421 := (* -1::int uf_11) |
|
1984 #2422 := (+ uf_1 #2421) |
|
1985 #2423 := (<= #2422 0::int) |
|
1986 #2436 := (or #2423 #2425 #2430) |
|
1987 #2441 := (not #2436) |
|
1988 #2227 := (or #2375 #2369) |
|
1989 #2219 := [def-axiom]: #2227 |
|
1990 #2464 := [unit-resolution #2219 #2463]: #2369 |
|
1991 #2238 := (or #2375 #926) |
|
1992 #2225 := [def-axiom]: #2238 |
|
1993 #2465 := [unit-resolution #2225 #2463]: #926 |
|
1994 #2031 := (+ uf_6 #972) |
|
1995 #2032 := (<= #2031 0::int) |
|
1996 #2467 := (or #551 #2032) |
|
1997 #2468 := [th-lemma]: #2467 |
|
1998 #2469 := [unit-resolution #2468 #2466]: #2032 |
|
1999 #1925 := (not #2032) |
|
2000 #1915 := (or #1795 #1925 #927) |
|
2001 #2004 := (+ uf_4 #1301) |
|
2002 #2005 := (<= #2004 0::int) |
|
2003 #1918 := (not #2005) |
|
2004 #1910 := [hypothesis]: #926 |
|
2005 #1911 := [hypothesis]: #1798 |
|
2006 #2086 := (or #1795 #1304) |
|
2007 #2239 := [def-axiom]: #2086 |
|
2008 #1916 := [unit-resolution #2239 #1911]: #1304 |
|
2009 #1919 := (or #1918 #927 #1303) |
|
2010 #1921 := [th-lemma]: #1919 |
|
2011 #1917 := [unit-resolution #1921 #1916 #1910]: #1918 |
|
2012 #2021 := (+ uf_6 #1493) |
|
2013 #2022 := (>= #2021 0::int) |
|
2014 #1930 := (not #2022) |
|
2015 #1936 := [hypothesis]: #2032 |
|
2016 #2243 := (not #1495) |
|
2017 #2241 := (or #1795 #2243) |
|
2018 #2244 := [def-axiom]: #2241 |
|
2019 #1922 := [unit-resolution #2244 #1911]: #2243 |
|
2020 #1931 := (or #1930 #1495 #1925) |
|
2021 #1924 := [hypothesis]: #2243 |
|
2022 #1926 := [hypothesis]: #2022 |
|
2023 #1927 := [th-lemma #1926 #1924 #1936]: false |
|
2024 #1906 := [lemma #1927]: #1931 |
|
2025 #1905 := [unit-resolution #1906 #1922 #1936]: #1930 |
|
2026 #1913 := (or #2005 #2022) |
|
2027 #2240 := (or #1795 #1305) |
|
2028 #2242 := [def-axiom]: #2240 |
|
2029 #1908 := [unit-resolution #2242 #1911]: #1305 |
|
2030 #2212 := (or #2387 #2312) |
|
2031 #2213 := [def-axiom]: #2212 |
|
2032 #1912 := [unit-resolution #2213 #1909]: #2312 |
|
2033 #1994 := (or #2317 #1731 #2005 #2022) |
|
2034 #2034 := (+ ?x8!3 #924) |
|
2035 #2035 := (>= #2034 0::int) |
|
2036 #2036 := (+ #1298 #1024) |
|
2037 #2037 := (<= #2036 0::int) |
|
2038 #2026 := (or #1731 #2037 #2035) |
|
2039 #1961 := (or #2317 #2026) |
|
2040 #1971 := (iff #1961 #1994) |
|
2041 #1991 := (or #1731 #2005 #2022) |
|
2042 #1964 := (or #2317 #1991) |
|
2043 #1969 := (iff #1964 #1994) |
|
2044 #1970 := [rewrite]: #1969 |
|
2045 #1955 := (iff #1961 #1964) |
|
2046 #1993 := (iff #2026 #1991) |
|
2047 #2008 := (or #1731 #2022 #2005) |
|
2048 #1983 := (iff #2008 #1991) |
|
2049 #1992 := [rewrite]: #1983 |
|
2050 #1989 := (iff #2026 #2008) |
|
2051 #2007 := (iff #2035 #2005) |
|
2052 #2010 := (+ #924 ?x8!3) |
|
2053 #2012 := (>= #2010 0::int) |
|
2054 #1997 := (iff #2012 #2005) |
|
2055 #2006 := [rewrite]: #1997 |
|
2056 #2014 := (iff #2035 #2012) |
|
2057 #2011 := (= #2034 #2010) |
|
2058 #2013 := [rewrite]: #2011 |
|
2059 #2003 := [monotonicity #2013]: #2014 |
|
2060 #1998 := [trans #2003 #2006]: #2007 |
|
2061 #2024 := (iff #2037 #2022) |
|
2062 #2038 := (+ #1024 #1298) |
|
2063 #2018 := (<= #2038 0::int) |
|
2064 #2023 := (iff #2018 #2022) |
|
2065 #2016 := [rewrite]: #2023 |
|
2066 #2019 := (iff #2037 #2018) |
|
2067 #2015 := (= #2036 #2038) |
|
2068 #2017 := [rewrite]: #2015 |
|
2069 #2020 := [monotonicity #2017]: #2019 |
|
2070 #2009 := [trans #2020 #2016]: #2024 |
|
2071 #1990 := [monotonicity #2009 #1998]: #1989 |
|
2072 #1984 := [trans #1990 #1992]: #1993 |
|
2073 #1968 := [monotonicity #1984]: #1955 |
|
2074 #1972 := [trans #1968 #1970]: #1971 |
|
2075 #1963 := [quant-inst]: #1961 |
|
2076 #1962 := [mp #1963 #1972]: #1994 |
|
2077 #1914 := [unit-resolution #1962 #1912 #1908]: #1913 |
|
2078 #1907 := [unit-resolution #1914 #1905 #1917]: false |
|
2079 #1900 := [lemma #1907]: #1915 |
|
2080 #2470 := [unit-resolution #1900 #2469 #2465]: #1795 |
|
2081 #2121 := (or #2372 #2364 #1798) |
|
2082 #2136 := [def-axiom]: #2121 |
|
2083 #2471 := [unit-resolution #2136 #2470 #2464]: #2364 |
|
2084 #2235 := (not #2364) |
|
2085 #2444 := (or #2235 #2441) |
|
2086 #2427 := (= #2426 uf_12) |
|
2087 #2428 := (or #2427 #2425 #2423) |
|
2088 #2429 := (not #2428) |
|
2089 #2445 := (or #2235 #2429) |
|
2090 #2447 := (iff #2445 #2444) |
|
2091 #2449 := (iff #2444 #2444) |
|
2092 #2450 := [rewrite]: #2449 |
|
2093 #2442 := (iff #2429 #2441) |
|
2094 #2439 := (iff #2428 #2436) |
|
2095 #2433 := (or #2430 #2425 #2423) |
|
2096 #2437 := (iff #2433 #2436) |
|
2097 #2438 := [rewrite]: #2437 |
|
2098 #2434 := (iff #2428 #2433) |
|
2099 #2431 := (iff #2427 #2430) |
|
2100 #2432 := [rewrite]: #2431 |
|
2101 #2435 := [monotonicity #2432]: #2434 |
|
2102 #2440 := [trans #2435 #2438]: #2439 |
|
2103 #2443 := [monotonicity #2440]: #2442 |
|
2104 #2448 := [monotonicity #2443]: #2447 |
|
2105 #2451 := [trans #2448 #2450]: #2447 |
|
2106 #2446 := [quant-inst]: #2445 |
|
2107 #2452 := [mp #2446 #2451]: #2444 |
|
2108 #2472 := [unit-resolution #2452 #2471]: #2441 |
|
2109 #2459 := (or #2436 #2458) |
|
2110 #2460 := [def-axiom]: #2459 |
|
2111 #2473 := [unit-resolution #2460 #2472]: #2458 |
|
2112 #2485 := [unit-resolution #2473 #2484]: false |
|
2113 #2486 := [lemma #2485]: #2375 |
|
2114 #2231 := (or #2384 #2361 #2378) |
|
2115 #2220 := [def-axiom]: #2231 |
|
2116 #2415 := [unit-resolution #2220 #2486 #2414]: #2361 |
|
2117 #2106 := (or #2358 #2352) |
|
2118 #2248 := [def-axiom]: #2106 |
|
2119 #2416 := [unit-resolution #2248 #2415]: #2352 |
|
2120 #2417 := [hypothesis]: #840 |
|
2121 #2285 := (or #2340 #837) |
|
2122 #1923 := [def-axiom]: #2285 |
|
2123 #2418 := [unit-resolution #1923 #2417]: #2340 |
|
2124 #1987 := (or #2346 #837) |
|
2125 #1988 := [def-axiom]: #1987 |
|
2126 #2419 := [unit-resolution #1988 #2417]: #2346 |
|
2127 #2255 := (or #2355 #2343 #2349) |
|
2128 #2256 := [def-axiom]: #2255 |
|
2129 #2420 := [unit-resolution #2256 #2419 #2418 #2416]: false |
|
2130 #2403 := [lemma #2420]: #837 |
|
2131 #2690 := (or #840 #1977) |
|
2132 #2691 := [th-lemma]: #2690 |
|
2133 #2692 := [unit-resolution #2691 #2403]: #1977 |
|
2134 #2661 := [hypothesis]: #2349 |
|
2135 #2272 := (or #2346 #361) |
|
2136 #2273 := [def-axiom]: #2272 |
|
2137 #2662 := [unit-resolution #2273 #2661]: #361 |
|
2138 #2629 := (= #58 #1195) |
|
2139 #2642 := (not #2629) |
|
2140 #2630 := (+ #58 #1381) |
|
2141 #2632 := (>= #2630 0::int) |
|
2142 #2636 := (not #2632) |
|
2143 #2402 := (+ #39 #799) |
|
2144 #2405 := (<= #2402 0::int) |
|
2145 #2404 := (= #39 uf_8) |
|
2146 #2665 := (= uf_10 uf_8) |
|
2147 #2000 := (or #2346 #82) |
|
2148 #2001 := [def-axiom]: #2000 |
|
2149 #2663 := [unit-resolution #2001 #2661]: #82 |
|
2150 #2666 := [symm #2663]: #2665 |
|
2151 #2002 := (or #2346 #356) |
|
2152 #1896 := [def-axiom]: #2002 |
|
2153 #2664 := [unit-resolution #1896 #2661]: #356 |
|
2154 #2667 := [trans #2664 #2666]: #2404 |
|
2155 #2668 := (not #2404) |
|
2156 #2669 := (or #2668 #2405) |
|
2157 #2670 := [th-lemma]: #2669 |
|
2158 #2671 := [unit-resolution #2670 #2667]: #2405 |
|
2159 #1966 := (not #1383) |
|
2160 #1982 := (or #2346 #2334) |
|
2161 #2264 := [def-axiom]: #1982 |
|
2162 #2672 := [unit-resolution #2264 #2661]: #2334 |
|
2163 #2537 := (= #39 #58) |
|
2164 #2674 := (= #58 #39) |
|
2165 #2673 := [symm #2662]: #81 |
|
2166 #2675 := [monotonicity #2673]: #2674 |
|
2167 #2677 := [symm #2675]: #2537 |
|
2168 #2678 := (= uf_8 #39) |
|
2169 #2676 := [symm #2664]: #79 |
|
2170 #2679 := [trans #2663 #2676]: #2678 |
|
2171 #2680 := [trans #2679 #2677]: #221 |
|
2172 #1981 := (or #2328 #1204) |
|
2173 #1960 := [def-axiom]: #1981 |
|
2174 #2681 := [unit-resolution #1960 #2680]: #2328 |
|
2175 #1953 := (or #2337 #2331 #1645) |
|
2176 #2294 := [def-axiom]: #1953 |
|
2177 #2682 := [unit-resolution #2294 #2681 #2672]: #1645 |
|
2178 #2298 := (or #1640 #1966) |
|
2179 #2299 := [def-axiom]: #2298 |
|
2180 #2683 := [unit-resolution #2299 #2682]: #1966 |
|
2181 #2033 := (* -1::int #58) |
|
2182 #2538 := (+ #39 #2033) |
|
2183 #2540 := (>= #2538 0::int) |
|
2184 #2684 := (not #2537) |
|
2185 #2685 := (or #2684 #2540) |
|
2186 #2686 := [th-lemma]: #2685 |
|
2187 #2687 := [unit-resolution #2686 #2677]: #2540 |
|
2188 #2617 := (not #2405) |
|
2189 #2637 := (not #2540) |
|
2190 #2638 := (or #2636 #2637 #1383 #2617) |
|
2191 #2633 := [hypothesis]: #2632 |
|
2192 #2609 := [hypothesis]: #2405 |
|
2193 #2610 := [hypothesis]: #1966 |
|
2194 #2634 := [hypothesis]: #2540 |
|
2195 #2635 := [th-lemma #2634 #2610 #2609 #2633]: false |
|
2196 #2639 := [lemma #2635]: #2638 |
|
2197 #2688 := [unit-resolution #2639 #2687 #2683 #2671]: #2636 |
|
2198 #2643 := (or #2642 #2632) |
|
2199 #2644 := [th-lemma]: #2643 |
|
2200 #2689 := [unit-resolution #2644 #2688]: #2642 |
|
2201 #2300 := (or #1640 #1401) |
|
2202 #2301 := [def-axiom]: #2300 |
|
2203 #2693 := [unit-resolution #2301 #2682]: #1401 |
|
2204 #2694 := (not #1977) |
|
2205 #2695 := (or #2628 #1396 #2694) |
|
2206 #2696 := [th-lemma]: #2695 |
|
2207 #2697 := [unit-resolution #2696 #2693 #2692]: #2628 |
|
2208 #2565 := (<= #2564 0::int) |
|
2209 #2552 := (+ uf_6 #1381) |
|
2210 #2553 := (>= #2552 0::int) |
|
2211 #2699 := (not #2553) |
|
2212 #2266 := (or #2346 #854) |
|
2213 #2267 := [def-axiom]: #2266 |
|
2214 #2698 := [unit-resolution #2267 #2661]: #854 |
|
2215 #2700 := (or #2699 #1383 #2617 #850) |
|
2216 #2701 := [th-lemma]: #2700 |
|
2217 #2702 := [unit-resolution #2701 #2683 #2671 #2698]: #2699 |
|
2218 #2704 := (or #2553 #2565) |
|
2219 #2291 := (or #1640 #1192) |
|
2220 #1965 := [def-axiom]: #2291 |
|
2221 #2703 := [unit-resolution #1965 #2682]: #1192 |
|
2222 #2573 := (or #2317 #1625 #2553 #2565) |
|
2223 #2541 := (+ ?x3!1 #924) |
|
2224 #2542 := (>= #2541 0::int) |
|
2225 #2543 := (+ #1195 #1024) |
|
2226 #2544 := (<= #2543 0::int) |
|
2227 #2545 := (or #1625 #2544 #2542) |
|
2228 #2574 := (or #2317 #2545) |
|
2229 #2581 := (iff #2574 #2573) |
|
2230 #2570 := (or #1625 #2553 #2565) |
|
2231 #2576 := (or #2317 #2570) |
|
2232 #2579 := (iff #2576 #2573) |
|
2233 #2580 := [rewrite]: #2579 |
|
2234 #2577 := (iff #2574 #2576) |
|
2235 #2571 := (iff #2545 #2570) |
|
2236 #2568 := (iff #2542 #2565) |
|
2237 #2558 := (+ #924 ?x3!1) |
|
2238 #2561 := (>= #2558 0::int) |
|
2239 #2566 := (iff #2561 #2565) |
|
2240 #2567 := [rewrite]: #2566 |
|
2241 #2562 := (iff #2542 #2561) |
|
2242 #2559 := (= #2541 #2558) |
|
2243 #2560 := [rewrite]: #2559 |
|
2244 #2563 := [monotonicity #2560]: #2562 |
|
2245 #2569 := [trans #2563 #2567]: #2568 |
|
2246 #2556 := (iff #2544 #2553) |
|
2247 #2546 := (+ #1024 #1195) |
|
2248 #2549 := (<= #2546 0::int) |
|
2249 #2554 := (iff #2549 #2553) |
|
2250 #2555 := [rewrite]: #2554 |
|
2251 #2550 := (iff #2544 #2549) |
|
2252 #2547 := (= #2543 #2546) |
|
2253 #2548 := [rewrite]: #2547 |
|
2254 #2551 := [monotonicity #2548]: #2550 |
|
2255 #2557 := [trans #2551 #2555]: #2556 |
|
2256 #2572 := [monotonicity #2557 #2569]: #2571 |
|
2257 #2578 := [monotonicity #2572]: #2577 |
|
2258 #2582 := [trans #2578 #2580]: #2581 |
|
2259 #2575 := [quant-inst]: #2574 |
|
2260 #2583 := [mp #2575 #2582]: #2573 |
|
2261 #2705 := [unit-resolution #2583 #1912 #2703]: #2704 |
|
2262 #2706 := [unit-resolution #2705 #2702]: #2565 |
|
2263 #2708 := (not #2628) |
|
2264 #2707 := (not #2565) |
|
2265 #2709 := (or #2631 #2707 #2708) |
|
2266 #2710 := [th-lemma]: #2709 |
|
2267 #2711 := [unit-resolution #2710 #2706 #2697]: #2631 |
|
2268 #2658 := (not #2631) |
|
2269 #2659 := (or #2658 #2629 #376) |
|
2270 #2654 := (= #1195 #58) |
|
2271 #2652 := (= ?x3!1 uf_7) |
|
2272 #2648 := [hypothesis]: #361 |
|
2273 #2650 := (= ?x3!1 uf_4) |
|
2274 #2649 := [hypothesis]: #2631 |
|
2275 #2651 := [symm #2649]: #2650 |
|
2276 #2653 := [trans #2651 #2648]: #2652 |
|
2277 #2655 := [monotonicity #2653]: #2654 |
|
2278 #2656 := [symm #2655]: #2629 |
|
2279 #2647 := [hypothesis]: #2642 |
|
2280 #2657 := [unit-resolution #2647 #2656]: false |
|
2281 #2660 := [lemma #2657]: #2659 |
|
2282 #2712 := [unit-resolution #2660 #2711 #2689 #2662]: false |
|
2283 #2713 := [lemma #2712]: #2346 |
|
2284 #2766 := [unit-resolution #2256 #2713 #2416]: #2343 |
|
2285 #1928 := (or #2340 #2334) |
|
2286 #1929 := [def-axiom]: #1928 |
|
2287 #2767 := [unit-resolution #1929 #2766]: #2334 |
|
2288 #2515 := (= #36 #58) |
|
2289 #2772 := (= #58 #36) |
|
2290 #1937 := (or #2340 #191) |
|
2291 #2278 := [def-axiom]: #1937 |
|
2292 #2768 := [unit-resolution #2278 #2766]: #191 |
|
2293 #2769 := [symm #2768]: #42 |
|
2294 #2773 := [monotonicity #2769]: #2772 |
|
2295 #2774 := [symm #2773]: #2515 |
|
2296 #2775 := (= uf_8 #36) |
|
2297 #1941 := (or #2340 #194) |
|
2298 #1942 := [def-axiom]: #1941 |
|
2299 #2770 := [unit-resolution #1942 #2766]: #194 |
|
2300 #2771 := [symm #2770]: #44 |
|
2301 #2776 := [trans #2771 #2476]: #2775 |
|
2302 #2777 := [trans #2776 #2774]: #221 |
|
2303 #2778 := [unit-resolution #1960 #2777]: #2328 |
|
2304 #2779 := [unit-resolution #2294 #2778 #2767]: #1645 |
|
2305 #2780 := [unit-resolution #2301 #2779]: #1401 |
|
2306 #2781 := [unit-resolution #2696 #2780 #2692]: #2628 |
|
2307 #2510 := (+ uf_6 #799) |
|
2308 #2511 := (<= #2510 0::int) |
|
2309 #2782 := (or #301 #2511) |
|
2310 #2783 := [th-lemma]: #2782 |
|
2311 #2784 := [unit-resolution #2783 #2770]: #2511 |
|
2312 #2785 := [unit-resolution #2299 #2779]: #1966 |
|
2313 #2786 := (not #2511) |
|
2314 #2787 := (or #2699 #1383 #2786) |
|
2315 #2788 := [th-lemma]: #2787 |
|
2316 #2789 := [unit-resolution #2788 #2785 #2784]: #2699 |
|
2317 #2790 := [unit-resolution #1965 #2779]: #1192 |
|
2318 #2791 := [unit-resolution #2583 #1912 #2790 #2789]: #2565 |
|
2319 #2792 := [unit-resolution #2710 #2791 #2781]: #2631 |
|
2320 #2793 := [monotonicity #2792]: #2762 |
|
2321 #2794 := (not #2762) |
|
2322 #2795 := (or #2794 #2765) |
|
2323 #2796 := [th-lemma]: #2795 |
|
2324 #2797 := [unit-resolution #2796 #2793]: #2765 |
|
2325 #2286 := (or #2340 #850) |
|
2326 #2288 := [def-axiom]: #2286 |
|
2327 #2798 := [unit-resolution #2288 #2766]: #850 |
|
2328 [th-lemma #2798 #2785 #2784 #2797]: false |
|
2329 unsat |