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