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prop_logic_puzzle

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example_num_vars5_depth6/puzzle_2ef680ad178fc131.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ new C ∧ E → (E → C) ∨ D
2
+ intro
3
+ cases 0
4
+ cases 0
5
+ left
6
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7
+ cases 0
8
+ exact 1
example_num_vars5_depth6/puzzle_3213f8d20238b686.txt ADDED
@@ -0,0 +1,11 @@
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new E ∧ C → (A ∧ D → (C → D))
2
+ intro
3
+ cases 0
4
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5
+ cases 3
6
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7
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8
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9
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10
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11
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example_num_vars5_depth6/puzzle_479253871114c189.txt ADDED
@@ -0,0 +1,10 @@
 
 
 
 
 
 
 
 
 
 
 
1
+ new D → ((A → B) → (C → (A ∨ A → E ∨ (B → A))))
2
+ intro
3
+ intro
4
+ intro
5
+ intro
6
+ right
7
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8
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9
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10
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example_num_vars5_depth6/puzzle_47ef3fc678789ae1.txt ADDED
@@ -0,0 +1,35 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new ((E → B) → D) → ((B → D) → ((E ∧ E) ∧ C → (D → (A ∧ C → (((C ∨ D) ∧ (C ∧ D)) ∧ (E ∧ B) → (E ∧ E) ∧ ((C ∧ C) ∧ (B ∧ B)))))))
2
+ intro
3
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4
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5
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6
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7
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8
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9
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10
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11
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12
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13
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14
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15
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16
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17
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18
+ cases 9
19
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20
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21
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22
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23
+ cases 28
24
+ cases 29
25
+ cases 31
26
+ cases 37
27
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28
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29
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30
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31
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32
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33
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34
+ exact 33
35
+ exact 33
example_num_vars5_depth6/puzzle_48bc951a077e6f30.txt ADDED
@@ -0,0 +1,11 @@
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new (E → C ∧ A) → (B ∨ C → (D ∧ B → (E → (A → D) ∨ (D → D))))
2
+ intro
3
+ intro
4
+ intro
5
+ cases 2
6
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7
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8
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9
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10
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11
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example_num_vars5_depth6/puzzle_48c36b74542436fd.txt ADDED
@@ -0,0 +1,22 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new E → ((E → B) → (D → ((A ∧ (C → A)) ∧ (A → D) → (C → (B → D)) ∨ C)))
2
+ intro
3
+ intro
4
+ intro
5
+ intro
6
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7
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8
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9
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10
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11
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12
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13
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14
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15
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16
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17
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18
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19
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20
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21
+ cases 22
22
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example_num_vars5_depth6/puzzle_4ad53446b07f273c.txt ADDED
@@ -0,0 +1,9 @@
 
 
 
 
 
 
 
 
 
 
1
+ new C → (E → (A ∨ B → ((E → C) → (A ∨ D → (C ∨ D) ∨ (D ∨ D)))))
2
+ intro
3
+ intro
4
+ intro
5
+ intro
6
+ intro
7
+ left
8
+ left
9
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example_num_vars5_depth6/puzzle_4c822750bafb5b36.txt ADDED
@@ -0,0 +1,10 @@
 
 
 
 
 
 
 
 
 
 
 
1
+ new (A → C) → ((C → A) → (E ∧ (D ∧ A) → D ∨ (B → E) ∧ (C → D)))
2
+ intro
3
+ intro
4
+ intro
5
+ cases 2
6
+ cases 2
7
+ cases 4
8
+ cases 6
9
+ left
10
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example_num_vars5_depth6/puzzle_4dd026b9b7c034b1.txt ADDED
@@ -0,0 +1,12 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new ((E → D) → D) → (((A → D) → C) → (D → ((C → B) → (B → D ∧ C) ∨ A)))
2
+ intro
3
+ intro
4
+ intro
5
+ intro
6
+ left
7
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8
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9
+ exact 2
10
+ apply 1
11
+ intro
12
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example_num_vars5_depth6/puzzle_534003b3fec625c0.txt ADDED
@@ -0,0 +1,7 @@
 
 
 
 
 
 
 
 
1
+ new (A → D ∧ B) → (D ∧ E → ((C ∨ E → D) → E))
2
+ intro
3
+ intro
4
+ cases 1
5
+ intro
6
+ cases 1
7
+ exact 3
example_num_vars5_depth6/puzzle_565401957f929ec0.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ new ((D → B) → C) → ((E → B ∧ D) → ((C → E) → (C ∧ A → C)))
2
+ intro
3
+ intro
4
+ intro
5
+ intro
6
+ cases 3
7
+ cases 3
8
+ exact 4
example_num_vars5_depth6/puzzle_56c2009470aaa28a.txt ADDED
@@ -0,0 +1,10 @@
 
 
 
 
 
 
 
 
 
 
 
1
+ new E → ((E → C) → ((C → B) → ((C ∨ E → B) → (B → (D → E ∧ B)))))
2
+ intro
3
+ intro
4
+ intro
5
+ intro
6
+ intro
7
+ intro
8
+ constructor
9
+ exact 0
10
+ exact 4
example_num_vars5_depth6/puzzle_57415d41c92edb22.txt ADDED
@@ -0,0 +1,11 @@
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new (C → B ∧ B) → ((A → C ∧ B) → (A → (A ∧ D → ((C ∨ D → A) → (E → E)))))
2
+ intro
3
+ intro
4
+ intro
5
+ intro
6
+ cases 3
7
+ intro
8
+ cases 3
9
+ intro
10
+ cases 3
11
+ exact 9
example_num_vars5_depth6/puzzle_5ae291f17e75434f.txt ADDED
@@ -0,0 +1,16 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new A ∨ E → (A ∧ B → (E → ((C → D) → (A ∧ C → (A → C ∨ C) ∨ ((E ∨ B → D) → (E ∨ E) ∨ (D → C))))))
2
+ intro
3
+ intro
4
+ cases 1
5
+ intro
6
+ intro
7
+ intro
8
+ cases 6
9
+ cases 1
10
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11
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12
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13
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14
+ cases 6
15
+ left
16
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example_num_vars5_depth6/puzzle_5b559146631c17c9.txt ADDED
@@ -0,0 +1,22 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new ((B → D) → B) → (D ∧ B → ((E ∨ D → C) → ((B ∧ C ∨ B) ∧ C) ∧ (C ∧ D)))
2
+ intro
3
+ intro
4
+ cases 1
5
+ intro
6
+ cases 1
7
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8
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9
+ left
10
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11
+ exact 3
12
+ apply 4
13
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14
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15
+ apply 4
16
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17
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18
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19
+ apply 4
20
+ right
21
+ exact 2
22
+ exact 2
example_num_vars5_depth6/puzzle_5b911632ea47fd81.txt ADDED
@@ -0,0 +1,12 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new E → ((A → D) → ((B ∨ A) ∧ C ∨ E → (D ∧ E → ((A → E) → C ∨ E) ∨ A)))
2
+ intro
3
+ intro
4
+ intro
5
+ intro
6
+ cases 3
7
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8
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9
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10
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11
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12
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example_num_vars5_depth6/puzzle_5c2170706c3e1fe6.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ new ((E → A) → B) → (E → (D → (A ∨ B → ((E → C) → C))))
2
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3
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4
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5
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6
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7
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8
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example_num_vars5_depth6/puzzle_62945ed9e6ee52f5.txt ADDED
@@ -0,0 +1,13 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new C ∨ B → (((A → C) → E) → (D ∨ E) ∨ ((B ∨ D) ∨ A))
2
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3
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4
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5
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6
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7
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8
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9
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10
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11
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12
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13
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example_num_vars5_depth6/puzzle_65daf1a3820a220b.txt ADDED
@@ -0,0 +1,9 @@
 
 
 
 
 
 
 
 
 
 
1
+ new (C ∨ B → B) → (D ∧ A → (C → (A → ((B → D ∧ C) → D))))
2
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3
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4
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5
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6
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7
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8
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9
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example_num_vars5_depth6/puzzle_67c52a08e7480d0f.txt ADDED
@@ -0,0 +1,9 @@
 
 
 
 
 
 
 
 
 
 
1
+ new C ∧ E → ((A → D) → (B → ((E ∨ D → E) → A ∨ C)))
2
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3
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4
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5
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6
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7
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8
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9
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example_num_vars5_depth6/puzzle_6dbcc99dc56dd453.txt ADDED
@@ -0,0 +1,8 @@
 
 
 
 
 
 
 
 
 
1
+ new B → (A ∧ C → (((A → C) → A) → (B ∨ A → A)))
2
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3
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4
+ cases 1
5
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6
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7
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8
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example_num_vars5_depth6/puzzle_6ddeb1547310a480.txt ADDED
@@ -0,0 +1,12 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new (A ∨ E → B) → (A → (D → B) ∧ (((A ∨ D) ∨ B) ∨ (B ∨ D)))
2
+ intro
3
+ intro
4
+ constructor
5
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6
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7
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8
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9
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10
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11
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12
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example_num_vars5_depth6/puzzle_72a09f93fd85fc60.txt ADDED
@@ -0,0 +1,25 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new ((D → C) → B) → (B ∧ E → (D ∧ C → (B ∧ D → ((D ∧ (E → C)) ∧ B) ∧ (E ∧ D ∨ E))))
2
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3
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4
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5
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6
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7
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8
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9
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10
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11
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12
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13
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14
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15
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17
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18
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19
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20
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21
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22
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23
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24
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25
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example_num_vars5_depth6/puzzle_77da83358977cd62.txt ADDED
@@ -0,0 +1,11 @@
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new (C → A ∧ B) → (D → (((A → E) → E) → (C ∨ E → ((D → E) → ((C → B) → ((D → A) → (E → D))) ∨ (B → C)))))
2
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3
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4
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5
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6
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7
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8
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9
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10
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11
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example_num_vars5_depth6/puzzle_7fbf9f63d04ea3b1.txt ADDED
@@ -0,0 +1,15 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new C ∧ E → (A → ((D ∧ D → D) ∧ C → (C ∧ A → ((E ∨ D) ∨ B) ∨ (D → D))))
2
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3
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4
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5
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6
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7
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8
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9
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10
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12
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13
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14
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15
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example_num_vars5_depth6/puzzle_87144e4ee72c0f4d.txt ADDED
@@ -0,0 +1,9 @@
 
 
 
 
 
 
 
 
 
 
1
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2
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3
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4
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5
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6
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7
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8
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9
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example_num_vars5_depth6/puzzle_8c30cb9bcd395ed3.txt ADDED
@@ -0,0 +1,10 @@
 
 
 
 
 
 
 
 
 
 
 
1
+ new D ∨ E → ((D → A) → ((A → C ∧ A) → (((C → E) → C) → (((D → A) → D) → A ∨ ((B → B) ∧ D ∨ C)))))
2
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3
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4
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5
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6
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7
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8
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9
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10
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example_num_vars5_depth6/puzzle_8f7501170e8521cb.txt ADDED
@@ -0,0 +1,9 @@
 
 
 
 
 
 
 
 
 
 
1
+ new B → (C → (E → (D → D ∧ (D ∨ D))))
2
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3
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4
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5
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6
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7
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8
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9
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example_num_vars5_depth6/puzzle_901fadd4d31c7997.txt ADDED
@@ -0,0 +1,10 @@
 
 
 
 
 
 
 
 
 
 
 
1
+ new (D ∨ C → E) → ((A → C) → (((D → D) → B ∧ C) → (E ∧ D → (C → D))))
2
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3
+ intro
4
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5
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6
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7
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8
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9
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10
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example_num_vars5_depth6/puzzle_90ea7d29080c7ead.txt ADDED
@@ -0,0 +1,6 @@
 
 
 
 
 
 
 
1
+ new C ∨ D → (C ∧ B → C)
2
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3
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4
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5
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6
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example_num_vars5_depth6/puzzle_92854093f8de21f6.txt ADDED
@@ -0,0 +1,14 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new (E ∨ C → D) → ((D → C ∧ E) → (B ∨ D → (C ∨ D → (E → (D ∨ A) ∧ D))))
2
+ intro
3
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4
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5
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6
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7
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8
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9
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11
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12
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13
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14
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example_num_vars5_depth6/puzzle_953d0709a731a1b9.txt ADDED
@@ -0,0 +1,11 @@
 
 
 
 
 
 
 
 
 
 
 
 
1
+ new ((B → E) → C) → (D ∧ E → B ∨ (A → E ∧ D))
2
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3
+ intro
4
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5
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6
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7
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8
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9
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10
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11
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example_num_vars5_depth6/puzzle_99446eb7d8682dae.txt ADDED
@@ -0,0 +1,10 @@
 
 
 
 
 
 
 
 
 
 
 
1
+ new (D → E ∧ E) → ((A → C ∧ B) → ((A → B) → (E ∧ D → (C ∨ (D → A) → E))))
2
+ intro
3
+ intro
4
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5
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6
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7
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8
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9
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