13 val svc_enabled = getenv "SVC_HOME" <> ""; |
13 val svc_enabled = getenv "SVC_HOME" <> ""; |
14 |
14 |
15 if svc_enabled then |
15 if svc_enabled then |
16 ( |
16 ( |
17 (** Propositional Logic **) |
17 (** Propositional Logic **) |
18 Goal "((P & (Q-->R))-->S) = ((~P | Q | S) & (~P | ~R | S))"; |
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19 by (svc_tac 1); |
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20 result(); |
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21 |
18 |
22 (*Blast_tac's runtime for this type of problem appears to be exponential |
19 (*Blast_tac's runtime for this type of problem appears to be exponential |
23 in its length*) |
20 in its length, though Fast_tac manages*) |
24 Goal "P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P"; |
21 Goal "P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P=P"; |
25 by (svc_tac 1); |
22 by (svc_tac 1); |
26 result(); |
23 result(); |
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24 |
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25 (** Some big tautologies supplied by John Harrison **) |
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26 |
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27 (*Tautology name: puz013_1. Auto_tac manages; Blast_tac and Fast_tac take |
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28 a minute or more.*) |
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29 Goal "~(~v12 & \ |
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30 \ v0 & \ |
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31 \ v10 & \ |
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32 \ (v4 | v5) & \ |
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33 \ (v9 | v2) & \ |
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34 \ (v8 | v1) & \ |
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35 \ (v7 | v0) & \ |
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36 \ (v3 | v12) & \ |
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37 \ (v11 | v10) & \ |
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38 \ (~v12 | ~v6 | v7) & \ |
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39 \ (~v10 | ~v3 | v1) & \ |
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40 \ (~v10 | ~v0 | ~v4 | v11) & \ |
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41 \ (~v5 | ~v2 | ~v8) & \ |
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42 \ (~v12 | ~v9 | ~v7) & \ |
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43 \ (~v0 | ~v1 | v4) & \ |
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44 \ (~v4 | v7 | v2) & \ |
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45 \ (~v12 | ~v3 | v8) & \ |
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46 \ (~v4 | v5 | v6) & \ |
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47 \ (~v7 | ~v8 | v9) & \ |
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48 \ (~v10 | ~v11 | v12))"; |
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49 by (svc_tac 1); |
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50 result(); |
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51 |
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52 (*Tautology name: dk17_be*) |
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53 Goal "(GE17 <-> ~IN4 & ~IN3 & ~IN2 & ~IN1) & \ |
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54 \ (GE0 <-> GE17 & ~IN5) & \ |
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55 \ (GE22 <-> ~IN9 & ~IN7 & ~IN6 & IN0) & \ |
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56 \ (GE19 <-> ~IN5 & ~IN4 & ~IN3 & ~IN0) & \ |
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57 \ (GE20 <-> ~IN7 & ~IN6) & \ |
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58 \ (GE18 <-> ~IN6 & ~IN2 & ~IN1 & ~IN0) & \ |
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59 \ (GE21 <-> IN9 & ~IN7 & IN6 & ~IN0) & \ |
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60 \ (GE23 <-> GE22 & GE0) & \ |
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61 \ (GE25 <-> ~IN9 & ~IN7 & IN6 & ~IN0) & \ |
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62 \ (GE26 <-> IN9 & ~IN7 & ~IN6 & IN0) & \ |
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63 \ (GE2 <-> GE20 & GE19) & \ |
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64 \ (GE1 <-> GE18 & ~IN7) & \ |
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65 \ (GE24 <-> GE23 | GE21 & GE0) & \ |
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66 \ (GE5 <-> ~IN5 & IN4 | IN5 & ~IN4) & \ |
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67 \ (GE6 <-> GE0 & IN7 & ~IN6 & ~IN0) & \ |
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68 \ (GE12 <-> GE26 & GE0 | GE25 & GE0) & \ |
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69 \ (GE14 <-> GE2 & IN8 & ~IN2 & IN1) & \ |
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70 \ (GE27 <-> ~IN8 & IN5 & ~IN4 & ~IN3) & \ |
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71 \ (GE9 <-> GE1 & ~IN5 & ~IN4 & IN3) & \ |
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72 \ (GE7 <-> GE24 | GE2 & IN2 & ~IN1) & \ |
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73 \ (GE10 <-> GE6 | GE5 & GE1 & ~IN3) & \ |
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74 \ (GE15 <-> ~IN8 | IN9) & \ |
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75 \ (GE16 <-> GE12 | GE14 & ~IN9) & \ |
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76 \ (GE4 <-> \ |
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77 \ GE5 & GE1 & IN8 & ~IN3 | \ |
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78 \ GE0 & ~IN7 & IN6 & ~IN0 | \ |
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79 \ GE2 & IN2 & ~IN1) & \ |
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80 \ (GE13 <-> GE27 & GE1) & \ |
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81 \ (GE11 <-> GE9 | GE6 & ~IN8) & \ |
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82 \ (GE8 <-> GE1 & ~IN5 & IN4 & ~IN3 | GE2 & ~IN2 & IN1) & \ |
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83 \ (OUT0 <-> GE7 & ~IN8) & \ |
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84 \ (OUT1 <-> GE7 & IN8) & \ |
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85 \ (OUT2 <-> GE8 & ~IN9 | GE10 & IN8) & \ |
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86 \ (OUT3 <-> GE8 & IN9 & ~IN8 | GE11 & ~IN9 | GE12 & ~IN8) & \ |
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87 \ (OUT4 <-> GE11 & IN9 | GE12 & IN8) & \ |
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88 \ (OUT5 <-> GE14 & IN9) & \ |
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89 \ (OUT6 <-> GE13 & ~IN9) & \ |
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90 \ (OUT7 <-> GE13 & IN9) & \ |
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91 \ (OUT8 <-> GE9 & ~IN8 | GE15 & GE6 | GE4 & IN9) & \ |
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92 \ (OUT9 <-> GE9 & IN8 | ~GE15 & GE10 | GE16) & \ |
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93 \ (OUT10 <-> GE7) & \ |
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94 \ (WRES0 <-> ~IN5 & ~IN4 & ~IN3 & ~IN2 & ~IN1) & \ |
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95 \ (WRES1 <-> ~IN7 & ~IN6 & ~IN2 & ~IN1 & ~IN0) & \ |
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96 \ (WRES2 <-> ~IN7 & ~IN6 & ~IN5 & ~IN4 & ~IN3 & ~IN0) & \ |
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97 \ (WRES5 <-> ~IN5 & IN4 | IN5 & ~IN4) & \ |
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98 \ (WRES6 <-> WRES0 & IN7 & ~IN6 & ~IN0) & \ |
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99 \ (WRES9 <-> WRES1 & ~IN5 & ~IN4 & IN3) & \ |
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100 \ (WRES7 <-> \ |
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101 \ WRES0 & ~IN9 & ~IN7 & ~IN6 & IN0 | \ |
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102 \ WRES0 & IN9 & ~IN7 & IN6 & ~IN0 | \ |
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103 \ WRES2 & IN2 & ~IN1) & \ |
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104 \ (WRES10 <-> WRES6 | WRES5 & WRES1 & ~IN3) & \ |
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105 \ (WRES12 <-> \ |
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106 \ WRES0 & IN9 & ~IN7 & ~IN6 & IN0 | \ |
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107 \ WRES0 & ~IN9 & ~IN7 & IN6 & ~IN0) & \ |
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108 \ (WRES14 <-> WRES2 & IN8 & ~IN2 & IN1) & \ |
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109 \ (WRES15 <-> ~IN8 | IN9) & \ |
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110 \ (WRES4 <-> \ |
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111 \ WRES5 & WRES1 & IN8 & ~IN3 | \ |
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112 \ WRES2 & IN2 & ~IN1 | \ |
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113 \ WRES0 & ~IN7 & IN6 & ~IN0) & \ |
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114 \ (WRES13 <-> WRES1 & ~IN8 & IN5 & ~IN4 & ~IN3) & \ |
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115 \ (WRES11 <-> WRES9 | WRES6 & ~IN8) & \ |
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116 \ (WRES8 <-> WRES1 & ~IN5 & IN4 & ~IN3 | WRES2 & ~IN2 & IN1) \ |
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117 \ --> (OUT10 <-> WRES7) & \ |
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118 \ (OUT9 <-> WRES9 & IN8 | WRES12 | WRES14 & ~IN9 | ~WRES15 & WRES10) & \ |
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119 \ (OUT8 <-> WRES9 & ~IN8 | WRES15 & WRES6 | WRES4 & IN9) & \ |
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120 \ (OUT7 <-> WRES13 & IN9) & \ |
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121 \ (OUT6 <-> WRES13 & ~IN9) & \ |
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122 \ (OUT5 <-> WRES14 & IN9) & \ |
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123 \ (OUT4 <-> WRES11 & IN9 | WRES12 & IN8) & \ |
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124 \ (OUT3 <-> WRES8 & IN9 & ~IN8 | WRES11 & ~IN9 | WRES12 & ~IN8) & \ |
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125 \ (OUT2 <-> WRES8 & ~IN9 | WRES10 & IN8) & \ |
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126 \ (OUT1 <-> WRES7 & IN8) & \ |
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127 \ (OUT0 <-> WRES7 & ~IN8)"; |
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128 by (svc_tac 1); |
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129 result(); |
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130 |
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131 (*Tautology name: sqn_be. Fast_tac only takes a couple of seconds.*) |
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132 Goal "(GE0 <-> IN6 & IN1 | ~IN6 & ~IN1) & \ |
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133 \ (GE8 <-> ~IN3 & ~IN1) & \ |
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134 \ (GE5 <-> IN6 | IN5) & \ |
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135 \ (GE9 <-> ~GE0 | IN2 | ~IN5) & \ |
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136 \ (GE1 <-> IN3 | ~IN0) & \ |
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137 \ (GE11 <-> GE8 & IN4) & \ |
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138 \ (GE3 <-> ~IN4 | ~IN2) & \ |
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139 \ (GE34 <-> ~GE5 & IN4 | ~GE9) & \ |
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140 \ (GE2 <-> ~IN4 & IN1) & \ |
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141 \ (GE14 <-> ~GE1 & ~IN4) & \ |
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142 \ (GE19 <-> GE11 & ~GE5) & \ |
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143 \ (GE13 <-> GE8 & ~GE3 & ~IN0) & \ |
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144 \ (GE20 <-> ~IN5 & IN2 | GE34) & \ |
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145 \ (GE12 <-> GE2 & ~IN3) & \ |
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146 \ (GE27 <-> GE14 & IN6 | GE19) & \ |
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147 \ (GE10 <-> ~IN6 | IN5) & \ |
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148 \ (GE28 <-> GE13 | GE20 & ~GE1) & \ |
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149 \ (GE6 <-> ~IN5 | IN6) & \ |
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150 \ (GE15 <-> GE2 & IN2) & \ |
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151 \ (GE29 <-> GE27 | GE12 & GE5) & \ |
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152 \ (GE4 <-> IN3 & ~IN0) & \ |
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153 \ (GE21 <-> ~GE10 & ~IN1 | ~IN5 & ~IN2) & \ |
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154 \ (GE30 <-> GE28 | GE14 & IN2) & \ |
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155 \ (GE31 <-> GE29 | GE15 & ~GE6) & \ |
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156 \ (GE7 <-> ~IN6 | ~IN5) & \ |
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157 \ (GE17 <-> ~GE3 & ~IN1) & \ |
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158 \ (GE18 <-> GE4 & IN2) & \ |
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159 \ (GE16 <-> GE2 & IN0) & \ |
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160 \ (GE23 <-> GE19 | GE9 & ~GE1) & \ |
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161 \ (GE32 <-> GE15 & ~IN6 & ~IN0 | GE21 & GE4 & ~IN4 | GE30 | GE31) & \ |
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162 \ (GE33 <-> \ |
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163 \ GE18 & ~GE6 & ~IN4 | \ |
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164 \ GE17 & ~GE7 & IN3 | \ |
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165 \ ~GE7 & GE4 & ~GE3 | \ |
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166 \ GE11 & IN5 & ~IN0) & \ |
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167 \ (GE25 <-> GE14 & ~GE6 | GE13 & ~GE5 | GE16 & ~IN5 | GE15 & GE1) & \ |
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168 \ (GE26 <-> \ |
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169 \ GE12 & IN5 & ~IN2 | \ |
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170 \ GE10 & GE4 & IN1 | \ |
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171 \ GE17 & ~GE6 & IN0 | \ |
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172 \ GE2 & ~IN6) & \ |
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173 \ (GE24 <-> GE23 | GE16 & GE7) & \ |
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174 \ (OUT0 <-> \ |
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175 \ GE6 & IN4 & ~IN1 & IN0 | GE18 & GE0 & ~IN5 | GE12 & ~GE10 | GE24) & \ |
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176 \ (OUT1 <-> GE26 | GE25 | ~GE5 & GE4 & GE3 | GE7 & ~GE1 & IN1) & \ |
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177 \ (OUT2 <-> GE33 | GE32) & \ |
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178 \ (WRES8 <-> ~IN3 & ~IN1) & \ |
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179 \ (WRES0 <-> IN6 & IN1 | ~IN6 & ~IN1) & \ |
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180 \ (WRES2 <-> ~IN4 & IN1) & \ |
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181 \ (WRES3 <-> ~IN4 | ~IN2) & \ |
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182 \ (WRES1 <-> IN3 | ~IN0) & \ |
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183 \ (WRES4 <-> IN3 & ~IN0) & \ |
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184 \ (WRES5 <-> IN6 | IN5) & \ |
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185 \ (WRES11 <-> WRES8 & IN4) & \ |
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186 \ (WRES9 <-> ~WRES0 | IN2 | ~IN5) & \ |
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187 \ (WRES10 <-> ~IN6 | IN5) & \ |
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188 \ (WRES6 <-> ~IN5 | IN6) & \ |
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189 \ (WRES7 <-> ~IN6 | ~IN5) & \ |
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190 \ (WRES12 <-> WRES2 & ~IN3) & \ |
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191 \ (WRES13 <-> WRES8 & ~WRES3 & ~IN0) & \ |
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192 \ (WRES14 <-> ~WRES1 & ~IN4) & \ |
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193 \ (WRES15 <-> WRES2 & IN2) & \ |
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194 \ (WRES17 <-> ~WRES3 & ~IN1) & \ |
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195 \ (WRES18 <-> WRES4 & IN2) & \ |
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196 \ (WRES19 <-> WRES11 & ~WRES5) & \ |
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197 \ (WRES20 <-> ~IN5 & IN2 | ~WRES5 & IN4 | ~WRES9) & \ |
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198 \ (WRES21 <-> ~WRES10 & ~IN1 | ~IN5 & ~IN2) & \ |
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199 \ (WRES16 <-> WRES2 & IN0) \ |
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200 \ --> (OUT2 <-> \ |
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201 \ WRES11 & IN5 & ~IN0 | \ |
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202 \ ~WRES7 & WRES4 & ~WRES3 | \ |
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203 \ WRES12 & WRES5 | \ |
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204 \ WRES13 | \ |
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205 \ WRES14 & IN2 | \ |
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206 \ WRES14 & IN6 | \ |
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207 \ WRES15 & ~WRES6 | \ |
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208 \ WRES15 & ~IN6 & ~IN0 | \ |
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209 \ WRES17 & ~WRES7 & IN3 | \ |
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210 \ WRES18 & ~WRES6 & ~IN4 | \ |
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211 \ WRES20 & ~WRES1 | \ |
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212 \ WRES21 & WRES4 & ~IN4 | \ |
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213 \ WRES19) & \ |
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214 \ (OUT1 <-> \ |
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215 \ ~WRES5 & WRES4 & WRES3 | \ |
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216 \ WRES7 & ~WRES1 & IN1 | \ |
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217 \ WRES2 & ~IN6 | \ |
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218 \ WRES10 & WRES4 & IN1 | \ |
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219 \ WRES12 & IN5 & ~IN2 | \ |
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220 \ WRES13 & ~WRES5 | \ |
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221 \ WRES14 & ~WRES6 | \ |
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222 \ WRES15 & WRES1 | \ |
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223 \ WRES16 & ~IN5 | \ |
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224 \ WRES17 & ~WRES6 & IN0) & \ |
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225 \ (OUT0 <-> \ |
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226 \ WRES6 & IN4 & ~IN1 & IN0 | \ |
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227 \ WRES9 & ~WRES1 | \ |
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228 \ WRES12 & ~WRES10 | \ |
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229 \ WRES16 & WRES7 | \ |
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230 \ WRES18 & WRES0 & ~IN5 | \ |
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231 \ WRES19)"; |
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232 by (svc_tac 1); |
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233 result(); |
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234 |
27 |
235 |
28 (** Linear arithmetic **) |
236 (** Linear arithmetic **) |
29 |
237 |
30 Goal "x ~= #14 & x ~= #13 & x ~= #12 & x ~= #11 & x ~= #10 & x ~= #9 & \ |
238 Goal "x ~= #14 & x ~= #13 & x ~= #12 & x ~= #11 & x ~= #10 & x ~= #9 & \ |
31 \ x ~= #8 & x ~= #7 & x ~= #6 & x ~= #5 & x ~= #4 & x ~= #3 & \ |
239 \ x ~= #8 & x ~= #7 & x ~= #6 & x ~= #5 & x ~= #4 & x ~= #3 & \ |