diff --git a/example_num_vars10_depth10/puzzle_011e5f138cdb88db.txt b/example_num_vars10_depth10/puzzle_011e5f138cdb88db.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7fdca9f783cee9eb2907177617f274d8c610fb8b
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_011e5f138cdb88db.txt
@@ -0,0 +1,23 @@
+new B ∧ G → ((H ∨ A → I) → (B → ((J → F ∧ I) → (H ∨ J → (H ∧ G → ((F → D) → (((F → A) → E) → (H → ((G → F ∧ F) → (I → G) ∧ I)))))))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+intro
+cases 7
+intro
+intro
+intro
+intro
+cases 0
+cases 7
+constructor
+intro
+cases 0
+cases 7
+exact 2
+apply 3
+left
+exact 8
diff --git a/example_num_vars10_depth10/puzzle_08e6d61c3d448a35.txt b/example_num_vars10_depth10/puzzle_08e6d61c3d448a35.txt
new file mode 100644
index 0000000000000000000000000000000000000000..07804a0e0acfbf3af0874afd53ee803d84cb7064
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_08e6d61c3d448a35.txt
@@ -0,0 +1,14 @@
+new (B → D ∧ H) → (((F → H) → D) → (C → ((E ∨ H → B) → (((J → D) → B) → (J ∧ A → ((A ∨ E → B) → ((E → B ∧ I) → (C → (G ∨ H → J)))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+cases 5
+intro
+intro
+intro
+intro
+cases 5
+exact 6
diff --git a/example_num_vars10_depth10/puzzle_09ed109fcb4bea57.txt b/example_num_vars10_depth10/puzzle_09ed109fcb4bea57.txt
new file mode 100644
index 0000000000000000000000000000000000000000..05725a6937a236b8b749445b130a42af71f4f87c
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_09ed109fcb4bea57.txt
@@ -0,0 +1,16 @@
+new (A → G ∧ H) → (J → ((E → F) → (B ∧ J → (F ∧ D → (H → ((G → D) → D ∧ D ∨ E))))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+cases 6
+intro
+intro
+cases 3
+cases 6
+left
+constructor
+exact 8
+exact 8
diff --git a/example_num_vars10_depth10/puzzle_1924e68ac4c539a0.txt b/example_num_vars10_depth10/puzzle_1924e68ac4c539a0.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9c1115225250e9e7f1c38e5282259ebd258d7d6b
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_1924e68ac4c539a0.txt
@@ -0,0 +1,1034 @@
+new H → (((G → C) → C) → (((I → B) → J) → (((D → I) → C) → ((A → C ∧ D) → (I → (((J → F) → B) → ((F ∨ E → J) → (I → (J ∨ (A → D ∨ F) → C)))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
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+apply 1
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+apply 1
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+apply 1
+intro
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diff --git a/example_num_vars10_depth10/puzzle_1e62810292ff4c76.txt b/example_num_vars10_depth10/puzzle_1e62810292ff4c76.txt
new file mode 100644
index 0000000000000000000000000000000000000000..56c673ec7090e0a6dd5d7c9332c14c1596970e25
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_1e62810292ff4c76.txt
@@ -0,0 +1,26 @@
+new (F → D ∧ E) → (A → ((C → I) → ((F → B) → (J ∧ I → (E → (E ∧ D → ((G ∨ E → G) → (F → (C → E ∨ D)) ∧ (E → A))))))))
+intro
+intro
+intro
+intro
+intro
+cases 4
+intro
+intro
+cases 8
+intro
+cases 4
+cases 8
+constructor
+intro
+cases 4
+cases 8
+intro
+cases 4
+cases 8
+left
+exact 7
+intro
+cases 4
+cases 8
+exact 1
diff --git a/example_num_vars10_depth10/puzzle_253ddb1b0e2150ca.txt b/example_num_vars10_depth10/puzzle_253ddb1b0e2150ca.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8a0d295f78e5513d147493abe1680dda34aa4e15
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_253ddb1b0e2150ca.txt
@@ -0,0 +1,11 @@
+new D → ((H → A) → (((H → G) → F) → (((C → E) → E) ∨ (D → F)) ∨ ((H ∧ I) ∧ E → H)))
+intro
+intro
+intro
+right
+intro
+cases 3
+cases 3
+cases 4
+cases 6
+exact 8
diff --git a/example_num_vars10_depth10/puzzle_281659fbf8d98477.txt b/example_num_vars10_depth10/puzzle_281659fbf8d98477.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5e6a0b973482a777e8251ea9519b71ea73e6ea87
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_281659fbf8d98477.txt
@@ -0,0 +1,12 @@
+new B → (H ∧ A → (D → ((D → G ∧ J) → (F ∧ D → F ∨ A))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+cases 6
+cases 1
+cases 6
+left
+exact 7
diff --git a/example_num_vars10_depth10/puzzle_2c2e3fa7141e68c5.txt b/example_num_vars10_depth10/puzzle_2c2e3fa7141e68c5.txt
new file mode 100644
index 0000000000000000000000000000000000000000..46dd818c610e8da2c121c6d1878be418d76066cb
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_2c2e3fa7141e68c5.txt
@@ -0,0 +1,6 @@
+new ((D → H) → B) → (H → F ∨ (B → H))
+intro
+intro
+right
+intro
+exact 1
diff --git a/example_num_vars10_depth10/puzzle_36c05f0abf43ca08.txt b/example_num_vars10_depth10/puzzle_36c05f0abf43ca08.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2cf245f09f49f6bd2becca6c24c3740229786b74
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_36c05f0abf43ca08.txt
@@ -0,0 +1,14 @@
+new (B → H) → (E → ((G → J) → ((I ∨ B → A) → (((D → F) → E) → ((B → G) → ((I → H) → (I → ((F → D) → (J ∨ A → J ∨ (E ∨ ((F ∨ G) ∧ (E ∧ J) → D ∧ J)))))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+right
+left
+exact 1
diff --git a/example_num_vars10_depth10/puzzle_421eb653d3a7654f.txt b/example_num_vars10_depth10/puzzle_421eb653d3a7654f.txt
new file mode 100644
index 0000000000000000000000000000000000000000..684fff4b75a40355d2961da21225f653fc7b5025
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_421eb653d3a7654f.txt
@@ -0,0 +1,21 @@
+new (B → J) → (A → (((H → I) → I) → (((H → C) → D) → ((E ∨ I → B) → (B ∨ I → (H → ((C ∧ C) ∧ D → B ∨ I) ∧ J))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+constructor
+intro
+cases 7
+cases 7
+cases 8
+cases 10
+exact 5
+apply 0
+cases 5
+exact 16
+apply 4
+right
+exact 17
diff --git a/example_num_vars10_depth10/puzzle_4a20d9c63123c816.txt b/example_num_vars10_depth10/puzzle_4a20d9c63123c816.txt
new file mode 100644
index 0000000000000000000000000000000000000000..218132a1645031bc626007db2ac7c31f34bb56fb
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_4a20d9c63123c816.txt
@@ -0,0 +1,7 @@
+new A → (D → ((E → I) → ((C → D) → D ∨ J)))
+intro
+intro
+intro
+intro
+left
+exact 1
diff --git a/example_num_vars10_depth10/puzzle_56953b8c83060a6c.txt b/example_num_vars10_depth10/puzzle_56953b8c83060a6c.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0acc06de327ee0e74d5c04095a1be38b7322b1ff
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_56953b8c83060a6c.txt
@@ -0,0 +1,10 @@
+new B → (A → (((E → H) → C) → (C → (J ∧ B → (B ∨ G → J)))))
+intro
+intro
+intro
+intro
+intro
+cases 4
+intro
+cases 4
+exact 5
diff --git a/example_num_vars10_depth10/puzzle_574d8770feea0b82.txt b/example_num_vars10_depth10/puzzle_574d8770feea0b82.txt
new file mode 100644
index 0000000000000000000000000000000000000000..45d97baec5fad670ec756c313ced3bf294649d2d
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_574d8770feea0b82.txt
@@ -0,0 +1,8 @@
+new D ∨ G → (J → ((D → J ∧ C) → (((G → B) → B) → (G → J ∨ (((A ∨ (H ∨ H)) ∨ (J ∨ (C ∨ B))) ∨ B)))))
+intro
+intro
+intro
+intro
+intro
+left
+exact 1
diff --git a/example_num_vars10_depth10/puzzle_597ba47abbc1af6f.txt b/example_num_vars10_depth10/puzzle_597ba47abbc1af6f.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1d6c782a1e452babd6f943730e25abddbb424bae
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_597ba47abbc1af6f.txt
@@ -0,0 +1,21 @@
+new (J → E) ∨ (A → J) → (B ∧ C → (((I → E) → E) → (((E → J) → I) → (A → (E → (E ∧ J → (I ∨ H → (H → (J → J)) ∨ (A → (A → D)))))))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+intro
+intro
+cases 8
+intro
+cases 1
+cases 8
+left
+intro
+cases 1
+cases 8
+intro
+cases 1
+cases 8
+exact 10
diff --git a/example_num_vars10_depth10/puzzle_655114ae4d4e3ba6.txt b/example_num_vars10_depth10/puzzle_655114ae4d4e3ba6.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b7f6f45bb93819d944978a646fcfb32c0d5ce46d
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_655114ae4d4e3ba6.txt
@@ -0,0 +1,19 @@
+new (J → F ∧ H) → ((C ∨ E → E) → ((J ∨ A → J) → ((I → E) → (D ∨ A → (B ∧ H → ((I ∨ E → G) → ((I → E) → (J → (G ∧ (E ∧ D) → D)))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+cases 5
+intro
+intro
+intro
+cases 5
+intro
+cases 13
+cases 5
+cases 13
+cases 15
+cases 19
+exact 21
diff --git a/example_num_vars10_depth10/puzzle_677068bf112885e5.txt b/example_num_vars10_depth10/puzzle_677068bf112885e5.txt
new file mode 100644
index 0000000000000000000000000000000000000000..20e2f69913998e9ef801df14f4fd20f84d4ee680
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_677068bf112885e5.txt
@@ -0,0 +1,14 @@
+new D ∧ I → (F ∧ I → ((F → H ∧ J) → (F → (H → ((A → E) → J ∨ (C ∨ F))))))
+intro
+cases 0
+intro
+cases 3
+intro
+intro
+intro
+intro
+cases 0
+cases 3
+right
+right
+exact 4
diff --git a/example_num_vars10_depth10/puzzle_6a61725924a0cd52.txt b/example_num_vars10_depth10/puzzle_6a61725924a0cd52.txt
new file mode 100644
index 0000000000000000000000000000000000000000..86cd77ccac979a126ea81fdf0fce7fe68b8b708f
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_6a61725924a0cd52.txt
@@ -0,0 +1,22 @@
+new (B → E ∧ E) → ((E ∨ G → I) → (((F → E) → I) → (G ∧ F → (((H → I) → J) → (A → ((C ∨ H → G) → (I ∧ J → (G ∨ D → ((E ∨ H) ∧ ((F ∨ F) ∧ H) → A)))))))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+intro
+intro
+intro
+cases 9
+intro
+cases 3
+cases 9
+intro
+cases 17
+cases 3
+cases 9
+cases 17
+cases 19
+cases 25
+exact 7
diff --git a/example_num_vars10_depth10/puzzle_6f07632378b299d6.txt b/example_num_vars10_depth10/puzzle_6f07632378b299d6.txt
new file mode 100644
index 0000000000000000000000000000000000000000..abb267a640d22c789cf927322c03e0db23decff6
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_6f07632378b299d6.txt
@@ -0,0 +1,21 @@
+new B → ((E → G) → ((H → J) → (J ∧ I → (E ∨ H → (G ∧ I → ((J ∨ E → A) → (H → (A → (C ∨ D → (F ∨ (I → H)) ∨ E)))))))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+intro
+cases 7
+intro
+intro
+intro
+intro
+cases 3
+cases 7
+left
+right
+intro
+cases 3
+cases 7
+exact 11
diff --git a/example_num_vars10_depth10/puzzle_700f91cfc80dd616.txt b/example_num_vars10_depth10/puzzle_700f91cfc80dd616.txt
new file mode 100644
index 0000000000000000000000000000000000000000..daf8aa53bb1dbabdec2000d424e918b1b1760099
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_700f91cfc80dd616.txt
@@ -0,0 +1,15 @@
+new E → (E ∧ C → (J → ((B → A ∧ B) → (((I → B) → G) → ((I → D ∧ D) → ((E → G ∧ D) → (C → (H → C))))))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+intro
+intro
+cases 1
+intro
+cases 1
+intro
+cases 1
+exact 3
diff --git a/example_num_vars10_depth10/puzzle_71a5747de6d0f581.txt b/example_num_vars10_depth10/puzzle_71a5747de6d0f581.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dc901723b04d06c542517bc3f5caacb2561977f7
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_71a5747de6d0f581.txt
@@ -0,0 +1,9 @@
+new J → (D ∧ F → (F → (F ∨ (F ∨ C)) ∨ C))
+intro
+intro
+cases 1
+intro
+cases 1
+left
+left
+exact 3
diff --git a/example_num_vars10_depth10/puzzle_77490bb985c5e007.txt b/example_num_vars10_depth10/puzzle_77490bb985c5e007.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9b2b3679ab9c43532712136988121365259c7b6a
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_77490bb985c5e007.txt
@@ -0,0 +1,22 @@
+new A ∧ J → (F ∨ J → (H ∧ C → (J ∧ E → ((D → J ∧ F) → (((G → D) → A) → (A → (D ∨ F → (A → F ∧ A ∨ (B ∨ H)))))))))
+intro
+cases 0
+intro
+intro
+cases 4
+intro
+cases 7
+intro
+intro
+intro
+intro
+cases 0
+cases 4
+cases 7
+intro
+cases 0
+cases 4
+cases 7
+right
+right
+exact 5
diff --git a/example_num_vars10_depth10/puzzle_84e79d1b2f563267.txt b/example_num_vars10_depth10/puzzle_84e79d1b2f563267.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c37c2565304bd9d1c5fb47d323d6468e82df467a
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_84e79d1b2f563267.txt
@@ -0,0 +1,15 @@
+new A ∧ J → ((A → G ∧ I) → (B ∨ C → (((C → E) → A) → (A ∧ F → ((H → J ∧ D) → (G → ((F → E) → (I → A))))))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+cases 6
+intro
+intro
+intro
+intro
+cases 0
+cases 6
+exact 1
diff --git a/example_num_vars10_depth10/puzzle_8fb107e9815fefdf.txt b/example_num_vars10_depth10/puzzle_8fb107e9815fefdf.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6ee410930be5f580f99cd56b5bfb66a01983b806
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_8fb107e9815fefdf.txt
@@ -0,0 +1,11 @@
+new (D → B ∧ F) → (J → (E ∧ C → ((D ∨ J → A) → (F → E) ∨ A)))
+intro
+intro
+intro
+cases 2
+intro
+cases 2
+left
+intro
+cases 2
+exact 3
diff --git a/example_num_vars10_depth10/puzzle_91f68503787510f2.txt b/example_num_vars10_depth10/puzzle_91f68503787510f2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3cd01ebe0bbfeb1cc12a6912495e08df53906c77
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_91f68503787510f2.txt
@@ -0,0 +1,12 @@
+new (A ∨ F → G) → (J → ((A ∨ G → I) → (G → (H ∧ J → (C ∨ H → I)))))
+intro
+intro
+intro
+intro
+intro
+cases 4
+intro
+cases 4
+apply 2
+right
+exact 3
diff --git a/example_num_vars10_depth10/puzzle_92ba17a667ff5443.txt b/example_num_vars10_depth10/puzzle_92ba17a667ff5443.txt
new file mode 100644
index 0000000000000000000000000000000000000000..511e69073d46b949e353697ea4b5cc967c10820d
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_92ba17a667ff5443.txt
@@ -0,0 +1,16 @@
+new ((B → F) → H) → (D → ((I → B) → (I → ((H ∨ I → G) → (((A → F) → I) → (F ∨ J → ((G ∨ A → D) → (D ∧ J → ((F → B) → J ∧ J)))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+cases 8
+intro
+cases 8
+constructor
+exact 10
+exact 10
diff --git a/example_num_vars10_depth10/puzzle_978a678c7c4fa273.txt b/example_num_vars10_depth10/puzzle_978a678c7c4fa273.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f0fc23912768edbad011faf78c11526790a3f4cf
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_978a678c7c4fa273.txt
@@ -0,0 +1,15 @@
+new ((C → A) → J) → (((F → E) → D) → (G ∨ C → (C → (B → ((B → G) ∧ D → (((E → A) → B) → (I → (I → I) ∨ (A ∨ (C ∨ D → J)))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+cases 5
+intro
+intro
+cases 5
+left
+intro
+cases 5
+exact 9
diff --git a/example_num_vars10_depth10/puzzle_9f740f0387ecba60.txt b/example_num_vars10_depth10/puzzle_9f740f0387ecba60.txt
new file mode 100644
index 0000000000000000000000000000000000000000..55bd850e249c79df29c61b7d14b01752ed37c50c
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_9f740f0387ecba60.txt
@@ -0,0 +1,1543 @@
+new ((I → F) → F) → ((E ∨ C → B) → (B → ((B → H) → (C ∧ H → (((G → I) → F) → F)))))
+intro
+intro
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+cases 4
+exact 10
diff --git a/example_num_vars10_depth10/puzzle_c52956b96092541a.txt b/example_num_vars10_depth10/puzzle_c52956b96092541a.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e5ef3bdc975c0f528e76ba9f0a51e4f67ebbea70
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_c52956b96092541a.txt
@@ -0,0 +1,16 @@
+new ((A → I) → J) → (I ∧ E → (((I → D) → J) → ((G → F) → (C ∧ B → (G ∨ C → (G → (F → ((G → B ∧ A) → (H ∨ G → E)))))))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+cases 6
+intro
+intro
+intro
+intro
+intro
+cases 1
+cases 6
+exact 3
diff --git a/example_num_vars10_depth10/puzzle_c780ada568fb6ae2.txt b/example_num_vars10_depth10/puzzle_c780ada568fb6ae2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5c0989bce5cae5d52e305be592b1084bb00964bf
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_c780ada568fb6ae2.txt
@@ -0,0 +1,12 @@
+new H ∨ I → ((D → H ∧ H) → ((I → H ∨ E) → (I → ((D ∨ I → E) → ((H ∨ C → I) → ((A → B ∧ H) → ((C → F) → E)))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+apply 4
+right
+exact 3
diff --git a/example_num_vars10_depth10/puzzle_ce103aae806195c4.txt b/example_num_vars10_depth10/puzzle_ce103aae806195c4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a32f8523d12237218364cec8f70712bc69834860
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_ce103aae806195c4.txt
@@ -0,0 +1,31 @@
+new E → ((C → E ∧ G) → (D ∧ B → (J ∧ C → (J ∧ E → (F → ((H ∧ D → B) ∨ D) ∧ ((H ∨ D) ∧ (B ∧ J)))))))
+intro
+intro
+intro
+cases 2
+intro
+cases 5
+intro
+cases 8
+cases 2
+cases 5
+cases 8
+intro
+cases 2
+cases 5
+cases 8
+constructor
+left
+intro
+cases 24
+cases 2
+cases 5
+cases 8
+cases 24
+exact 4
+constructor
+right
+exact 3
+constructor
+exact 4
+exact 6
diff --git a/example_num_vars10_depth10/puzzle_d34a77b43773f7d7.txt b/example_num_vars10_depth10/puzzle_d34a77b43773f7d7.txt
new file mode 100644
index 0000000000000000000000000000000000000000..299623d959f88d26945917ba83bc17d43e2873cf
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_d34a77b43773f7d7.txt
@@ -0,0 +1,17 @@
+new ((D → B) → E) → (E ∧ F → ((E → A ∧ E) → (E ∨ B → ((J → D) → (G ∧ F → ((J → D) → J ∨ (I → F)))))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+intro
+cases 7
+intro
+cases 1
+cases 7
+right
+intro
+cases 1
+cases 7
+exact 3
diff --git a/example_num_vars10_depth10/puzzle_ea657b377b1e767e.txt b/example_num_vars10_depth10/puzzle_ea657b377b1e767e.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ea15970e3d6fe0129b847d442b6d9e6e02286f3b
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_ea657b377b1e767e.txt
@@ -0,0 +1,15 @@
+new E → (A → (I ∧ E → (H ∧ D → ((G → H ∧ F) → (E → (H ∧ B → D))))))
+intro
+intro
+intro
+cases 2
+intro
+cases 5
+intro
+intro
+intro
+cases 10
+cases 2
+cases 5
+cases 10
+exact 7
diff --git a/example_num_vars10_depth10/puzzle_ef9cd226010cdc1a.txt b/example_num_vars10_depth10/puzzle_ef9cd226010cdc1a.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0c2b4b8c5a244b5ca5d97b86d1ca240b474e0cdf
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_ef9cd226010cdc1a.txt
@@ -0,0 +1,9 @@
+new E ∨ H → (E → (J ∧ D → (H → (B → D))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+cases 2
+exact 4
diff --git a/example_num_vars10_depth10/puzzle_f5a0c63d4ccefe73.txt b/example_num_vars10_depth10/puzzle_f5a0c63d4ccefe73.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6e53a3e2b701cf2142902a5a17d9fbc789929763
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_f5a0c63d4ccefe73.txt
@@ -0,0 +1,12 @@
+new H ∧ C → ((I ∨ J → D) → ((I ∧ H ∨ B → D ∨ D) → (I → (C ∧ B) ∧ (I ∨ G) ∨ (F ∨ (((F ∨ F) ∨ E) ∨ (C ∨ (I ∨ J)))))))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+right
+right
+right
+left
+exact 2
diff --git a/example_num_vars10_depth10/puzzle_f62f7e3706f78b22.txt b/example_num_vars10_depth10/puzzle_f62f7e3706f78b22.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f6ccdc6be917e01227f13d0d9afce2b94fb59d10
--- /dev/null
+++ b/example_num_vars10_depth10/puzzle_f62f7e3706f78b22.txt
@@ -0,0 +1,20 @@
+new A ∧ D → ((B → I ∧ E) → ((F ∨ I → G) → (B → (B ∧ G → (C ∨ H → ((C ∨ I → B) → ((A ∧ (D ∨ E)) ∧ H → (B ∨ A) ∨ J)))))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+cases 6
+intro
+intro
+intro
+cases 11
+cases 0
+cases 6
+cases 11
+cases 12
+cases 18
+left
+left
+exact 5
diff --git a/example_num_vars10_depth9/puzzle_1208943f376bffa8.txt b/example_num_vars10_depth9/puzzle_1208943f376bffa8.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8b7e29b2b730075ec98d6b3cc4d2f37b714b0870
--- /dev/null
+++ b/example_num_vars10_depth9/puzzle_1208943f376bffa8.txt
@@ -0,0 +1,10 @@
+new J → ((B ∨ I → E) → (I → (D ∨ J → (J → F ∧ G ∨ E))))
+intro
+intro
+intro
+intro
+intro
+right
+apply 1
+right
+exact 2
diff --git a/example_num_vars4_depth11/puzzle_07eb40c6419966a0.txt b/example_num_vars4_depth11/puzzle_07eb40c6419966a0.txt
new file mode 100644
index 0000000000000000000000000000000000000000..932281d50927f3a26d638842113babd6156dbe37
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_07eb40c6419966a0.txt
@@ -0,0 +1,19 @@
+new (B → A ∧ A) → (A ∧ B → ((C ∨ B) ∧ ((A ∨ B) ∨ B)) ∧ ((B → A) → (D ∧ D → D)))
+intro
+intro
+cases 1
+cases 1
+constructor
+constructor
+right
+exact 3
+left
+left
+exact 2
+intro
+cases 1
+intro
+cases 9
+cases 1
+cases 9
+exact 10
diff --git a/example_num_vars4_depth11/puzzle_0ef14f098db55c08.txt b/example_num_vars4_depth11/puzzle_0ef14f098db55c08.txt
new file mode 100644
index 0000000000000000000000000000000000000000..eb541c8c41364147e60acbf2de70818a234643f2
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_0ef14f098db55c08.txt
@@ -0,0 +1,15 @@
+new C → (D ∧ A → (((D → B) → A) → (C → (C ∧ (C ∨ D)) ∧ (((((B ∨ C) ∨ A ∧ A → B) → C) → C ∨ B) → D))))
+intro
+intro
+cases 1
+intro
+intro
+cases 1
+constructor
+constructor
+exact 0
+left
+exact 0
+intro
+cases 1
+exact 2
diff --git a/example_num_vars4_depth11/puzzle_17ab95746dd0c5d6.txt b/example_num_vars4_depth11/puzzle_17ab95746dd0c5d6.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5a8d199d340664a351a85f8af2171c7060d27742
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_17ab95746dd0c5d6.txt
@@ -0,0 +1,11 @@
+new D ∧ B → (C → B ∧ (B → C) ∨ (D ∨ ((A → A) → (C → A))))
+intro
+cases 0
+intro
+cases 0
+left
+constructor
+exact 2
+intro
+cases 0
+exact 3
diff --git a/example_num_vars4_depth11/puzzle_18e03feddcea5673.txt b/example_num_vars4_depth11/puzzle_18e03feddcea5673.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7d07aba14d4320607d3b6aabb7d187e7ca917ad5
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_18e03feddcea5673.txt
@@ -0,0 +1,7 @@
+new ((B → A) → B) → ((B → B) → (A → B))
+intro
+intro
+intro
+apply 0
+intro
+exact 2
diff --git a/example_num_vars4_depth11/puzzle_1fa4754c0e7f1499.txt b/example_num_vars4_depth11/puzzle_1fa4754c0e7f1499.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d32fb34591b6a38138574b342c33556682449eee
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_1fa4754c0e7f1499.txt
@@ -0,0 +1,18 @@
+new D → (C ∨ A → (B ∧ A → (((C ∨ B) ∧ (D → B)) ∧ C → (D → D))))
+intro
+intro
+intro
+cases 2
+intro
+cases 5
+cases 2
+cases 5
+cases 6
+cases 10
+intro
+cases 2
+cases 5
+cases 6
+cases 10
+cases 19
+exact 0
diff --git a/example_num_vars4_depth11/puzzle_20d1762bb26b1021.txt b/example_num_vars4_depth11/puzzle_20d1762bb26b1021.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8a42ac88d7a5b8cbf8251cd97886c1456bbd741c
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_20d1762bb26b1021.txt
@@ -0,0 +1,13 @@
+new (B → C) → ((B → C) → (((A → B) → D) → (B → (A → D) ∧ D)))
+intro
+intro
+intro
+intro
+constructor
+intro
+apply 2
+intro
+exact 3
+apply 2
+intro
+exact 3
diff --git a/example_num_vars4_depth11/puzzle_26d542bca2171a13.txt b/example_num_vars4_depth11/puzzle_26d542bca2171a13.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bcad979ac9ffb2c43235313e7105d2c338e5c268
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_26d542bca2171a13.txt
@@ -0,0 +1,8 @@
+new (D → A ∧ B) → (C ∧ B → (B ∨ A → A ∨ (B ∨ A)))
+intro
+intro
+cases 1
+intro
+cases 1
+right
+exact 4
diff --git a/example_num_vars4_depth11/puzzle_2e3a5162f923ee7f.txt b/example_num_vars4_depth11/puzzle_2e3a5162f923ee7f.txt
new file mode 100644
index 0000000000000000000000000000000000000000..396ab70d137c693c3393ddb303576019bf1f311c
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_2e3a5162f923ee7f.txt
@@ -0,0 +1,8 @@
+new (D → A) → (A → (A → ((C ∨ D) ∨ (A ∨ (A ∨ (A ∨ B)))) ∨ ((B ∨ D) ∧ A) ∧ (C ∨ C)))
+intro
+intro
+intro
+left
+right
+left
+exact 1
diff --git a/example_num_vars4_depth11/puzzle_339905d6abf2cd51.txt b/example_num_vars4_depth11/puzzle_339905d6abf2cd51.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2e6bf2fb05a685731fed7fb7025dc3ee32451fdb
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_339905d6abf2cd51.txt
@@ -0,0 +1,9 @@
+new ((D → C) → A) → (A → (D ∨ D → (A → D) ∨ C))
+intro
+intro
+intro
+left
+intro
+cases 2
+exact 4
+exact 5
diff --git a/example_num_vars4_depth11/puzzle_42c151dff62b2232.txt b/example_num_vars4_depth11/puzzle_42c151dff62b2232.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8335b999b3e56a01b0b6bbbf8e7b4265864748ba
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_42c151dff62b2232.txt
@@ -0,0 +1,13 @@
+new C ∧ B → (A → A ∧ (B → (B ∨ D) ∧ C))
+intro
+cases 0
+intro
+cases 0
+constructor
+exact 3
+intro
+cases 0
+constructor
+left
+exact 2
+exact 1
diff --git a/example_num_vars4_depth11/puzzle_50f544a9887e97a2.txt b/example_num_vars4_depth11/puzzle_50f544a9887e97a2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4239f465784b904679ccefe099249aa1531584e7
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_50f544a9887e97a2.txt
@@ -0,0 +1,6 @@
+new ((C → A) → C) → (D → (B → B ∨ A))
+intro
+intro
+intro
+left
+exact 2
diff --git a/example_num_vars4_depth11/puzzle_54594103e626e91d.txt b/example_num_vars4_depth11/puzzle_54594103e626e91d.txt
new file mode 100644
index 0000000000000000000000000000000000000000..85337e0f7ecad7dc10365671f4021170b89a98a3
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_54594103e626e91d.txt
@@ -0,0 +1,7 @@
+new B ∧ A → (A ∨ C) ∨ ((D ∨ C) ∨ B)
+intro
+cases 0
+cases 0
+left
+left
+exact 2
diff --git a/example_num_vars4_depth11/puzzle_55c8ff9c30be8f73.txt b/example_num_vars4_depth11/puzzle_55c8ff9c30be8f73.txt
new file mode 100644
index 0000000000000000000000000000000000000000..147b9d439b9c3ee1336beebe6bfd6753ddf02049
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_55c8ff9c30be8f73.txt
@@ -0,0 +1,8 @@
+new B ∧ D → ((B → D) → (A ∨ D) ∨ (B ∨ B → (C → B)))
+intro
+cases 0
+intro
+cases 0
+left
+right
+exact 2
diff --git a/example_num_vars4_depth11/puzzle_5a76990144d10e65.txt b/example_num_vars4_depth11/puzzle_5a76990144d10e65.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a7c3652ddd00743734f3dbb535b11820f89d18ea
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_5a76990144d10e65.txt
@@ -0,0 +1,13 @@
+new ((A → B) → D) → (C → (B → (A → D ∧ ((A ∨ (C → C)) ∧ A))))
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diff --git a/example_num_vars4_depth11/puzzle_65534f689c2d5309.txt b/example_num_vars4_depth11/puzzle_65534f689c2d5309.txt
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index 0000000000000000000000000000000000000000..365cbbfb011f3baa3adefa7056c4fa6d1eeb4176
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_65534f689c2d5309.txt
@@ -0,0 +1,18 @@
+new (B → A ∧ A) → (D ∧ B → (A ∧ B → (C → ((B ∧ D) ∧ D ∨ (B ∨ (D → A))) ∧ C ∨ ((A ∧ D ∨ D) ∨ ((B → A) ∨ (A → B ∨ D)) → B ∧ B))))
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diff --git a/example_num_vars4_depth11/puzzle_67c3cc40760ead33.txt b/example_num_vars4_depth11/puzzle_67c3cc40760ead33.txt
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index 0000000000000000000000000000000000000000..7a194898675e6602bdf9b8228c2d415507aabbc3
--- /dev/null
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+new A → ((D → C) → (A → ((A → C) → C ∧ ((D ∨ B) ∨ C))))
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index 0000000000000000000000000000000000000000..661f0b6c57adaba773d74e1d8fe3b71b5ef1e080
--- /dev/null
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@@ -0,0 +1,10 @@
+new A → ((A ∧ C → (D ∧ C → B)) → (A → ((A → C ∧ B) → (D ∨ (A ∨ A)) ∧ A)))
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diff --git a/example_num_vars4_depth11/puzzle_72a7f05b18ec6e97.txt b/example_num_vars4_depth11/puzzle_72a7f05b18ec6e97.txt
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index 0000000000000000000000000000000000000000..5837b373c0232ac01efa72789b63ca779ba8580a
--- /dev/null
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@@ -0,0 +1,8 @@
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diff --git a/example_num_vars4_depth11/puzzle_7460ac1699c8d9c4.txt b/example_num_vars4_depth11/puzzle_7460ac1699c8d9c4.txt
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--- /dev/null
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+cases 17687
+cases 17954
+cases 18223
+cases 18494
+cases 18767
+cases 19042
+cases 19319
+cases 19598
+cases 19879
+cases 20162
+cases 20447
+cases 20734
+cases 21023
+cases 21314
+cases 21607
+cases 21902
+cases 22199
+cases 22498
+cases 22799
+cases 23102
+cases 23407
+cases 23714
+cases 24023
+cases 24334
+cases 24647
+cases 24962
+cases 25279
+cases 25598
+cases 25919
+cases 26242
+cases 26567
+cases 26894
+cases 27223
+cases 27554
+cases 27887
+cases 28222
+cases 28559
+cases 28898
+cases 29239
+cases 29582
+cases 29927
+cases 30274
+cases 30623
+cases 30974
+cases 31327
+cases 31682
+cases 32039
+cases 32398
+cases 32759
+cases 33122
+cases 33487
+cases 33854
+cases 34223
+cases 34594
+cases 34967
+cases 35342
+cases 35719
+cases 36098
+cases 36479
+cases 36862
+cases 37247
+cases 37634
+cases 38023
+cases 38414
+cases 38807
+cases 39202
+cases 39599
+cases 39998
+cases 40399
+cases 40802
+cases 41207
+cases 41614
+cases 42023
+cases 42434
+cases 42847
+cases 43262
+cases 43679
+cases 44098
+cases 44519
+cases 44942
+cases 45367
+cases 45794
+cases 46223
+cases 46654
+cases 47087
+cases 47522
+cases 47959
+cases 48398
+cases 48839
+cases 49282
+cases 49727
+cases 50174
+cases 50623
+cases 51074
+cases 51527
+cases 51982
+cases 52439
+cases 52898
+cases 53359
+cases 53822
+cases 54287
+cases 54754
+cases 55223
+cases 55694
+cases 56167
+cases 56642
+cases 57119
+cases 57598
+cases 58079
+cases 58562
+cases 59047
+cases 59534
+cases 60023
+cases 60514
+cases 61007
+cases 61502
+cases 61999
+cases 62498
+cases 62999
+cases 63502
+cases 64007
+cases 64514
+cases 65023
+cases 65534
+apply 1
+left
+apply 0
+intro
+cases 4
+cases 5
+cases 7
+cases 14
+cases 23
+cases 34
+cases 47
+cases 62
+cases 79
+cases 98
+cases 119
+cases 142
+cases 167
+cases 194
+cases 223
+cases 254
+cases 287
+cases 322
+cases 359
+cases 398
+cases 439
+cases 482
+cases 527
+cases 574
+cases 623
+cases 674
+cases 727
+cases 782
+cases 839
+cases 898
+cases 959
+cases 1022
+cases 1087
+cases 1154
+cases 1223
+cases 1294
+cases 1367
+cases 1442
+cases 1519
+cases 1598
+cases 1679
+cases 1762
+cases 1847
+cases 1934
+cases 2023
+cases 2114
+cases 2207
+cases 2302
+cases 2399
+cases 2498
+cases 2599
+cases 2702
+cases 2807
+cases 2914
+cases 3023
+cases 3134
+cases 3247
+cases 3362
+cases 3479
+cases 3598
+cases 3719
+cases 3842
+cases 3967
+cases 4094
+cases 4223
+cases 4354
+cases 4487
+cases 4622
+cases 4759
+cases 4898
+cases 5039
+cases 5182
+cases 5327
+cases 5474
+cases 5623
+cases 5774
+cases 5927
+cases 6082
+cases 6239
+cases 6398
+cases 6559
+cases 6722
+cases 6887
+cases 7054
+cases 7223
+cases 7394
+cases 7567
+cases 7742
+cases 7919
+cases 8098
+cases 8279
+cases 8462
+cases 8647
+cases 8834
+cases 9023
+cases 9214
+cases 9407
+cases 9602
+cases 9799
+cases 9998
+cases 10199
+cases 10402
+cases 10607
+cases 10814
+cases 11023
+cases 11234
+cases 11447
+cases 11662
+cases 11879
+cases 12098
+cases 12319
+cases 12542
+cases 12767
+cases 12994
+cases 13223
+cases 13454
+cases 13687
+cases 13922
+cases 14159
+cases 14398
+cases 14639
+cases 14882
+cases 15127
+cases 15374
+cases 15623
+cases 15874
+cases 16127
+cases 16382
+cases 16639
+cases 16898
+cases 17159
+cases 17422
+cases 17687
+cases 17954
+cases 18223
+cases 18494
+cases 18767
+cases 19042
+cases 19319
+cases 19598
+cases 19879
+cases 20162
+cases 20447
+cases 20734
+cases 21023
+cases 21314
+cases 21607
+cases 21902
+cases 22199
+cases 22498
+cases 22799
+cases 23102
+cases 23407
+cases 23714
+cases 24023
+cases 24334
+cases 24647
+cases 24962
+cases 25279
+cases 25598
+cases 25919
+cases 26242
+cases 26567
+cases 26894
+cases 27223
+cases 27554
+cases 27887
+cases 28222
+cases 28559
+cases 28898
+cases 29239
+cases 29582
+cases 29927
+cases 30274
+cases 30623
+cases 30974
+cases 31327
+cases 31682
+cases 32039
+cases 32398
+cases 32759
+cases 33122
+cases 33487
+cases 33854
+cases 34223
+cases 34594
+cases 34967
+cases 35342
+cases 35719
+cases 36098
+cases 36479
+cases 36862
+cases 37247
+cases 37634
+cases 38023
+cases 38414
+cases 38807
+cases 39202
+cases 39599
+cases 39998
+cases 40399
+cases 40802
+cases 41207
+cases 41614
+cases 42023
+cases 42434
+cases 42847
+cases 43262
+cases 43679
+cases 44098
+cases 44519
+cases 44942
+cases 45367
+cases 45794
+cases 46223
+cases 46654
+cases 47087
+cases 47522
+cases 47959
+cases 48398
+cases 48839
+cases 49282
+cases 49727
+cases 50174
+cases 50623
+cases 51074
+cases 51527
+cases 51982
+cases 52439
+cases 52898
+cases 53359
+cases 53822
+cases 54287
+cases 54754
+cases 55223
+cases 55694
+cases 56167
+cases 56642
+cases 57119
+cases 57598
+cases 58079
+cases 58562
+cases 59047
+cases 59534
+cases 60023
+cases 60514
+cases 61007
+cases 61502
+cases 61999
+cases 62498
+cases 62999
+cases 63502
+cases 64007
+cases 64514
+cases 65023
+cases 65534
+cases 66047
+apply 1
+right
+exact 13
+left
+intro
+cases 4
+cases 5
+cases 7
+cases 66562
+exact 6
diff --git a/example_num_vars4_depth11/puzzle_7a400112471d68e5.txt b/example_num_vars4_depth11/puzzle_7a400112471d68e5.txt
new file mode 100644
index 0000000000000000000000000000000000000000..179e29957961b5ecefe2d629ea6092a111b64e34
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_7a400112471d68e5.txt
@@ -0,0 +1,60 @@
+new (A ∨ D → B) → (A ∧ ((C ∧ D) ∧ (C ∨ B)) → (C → (((C ∧ C) ∧ (D ∧ B → B ∧ C)) ∧ D) ∧ (C ∨ D → (A ∧ C → A ∧ C))))
+intro
+intro
+cases 1
+intro
+cases 1
+cases 3
+cases 6
+cases 7
+cases 9
+constructor
+constructor
+constructor
+constructor
+exact 4
+exact 4
+intro
+cases 15
+cases 1
+cases 3
+cases 6
+cases 7
+cases 9
+cases 15
+cases 19
+cases 20
+cases 22
+cases 30
+constructor
+exact 17
+exact 4
+exact 12
+intro
+cases 1
+cases 3
+cases 6
+cases 7
+cases 9
+cases 40
+cases 41
+cases 43
+cases 49
+intro
+cases 57
+cases 1
+cases 3
+cases 6
+cases 7
+cases 9
+cases 40
+cases 41
+cases 43
+cases 49
+cases 57
+cases 61
+cases 62
+cases 64
+cases 70
+cases 80
+exact 57
diff --git a/example_num_vars4_depth11/puzzle_8b3ae7e9433dc064.txt b/example_num_vars4_depth11/puzzle_8b3ae7e9433dc064.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cd96ef2c0c3dde100f3f67bf49763b6b567c27b2
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_8b3ae7e9433dc064.txt
@@ -0,0 +1,19 @@
+new A → (B ∧ A → (C ∧ D → ((C ∨ A → C) → ((A ∧ D → C) ∧ C) ∧ D)))
+intro
+intro
+cases 1
+intro
+cases 4
+intro
+cases 1
+cases 4
+constructor
+constructor
+intro
+cases 12
+cases 1
+cases 4
+cases 12
+exact 5
+exact 5
+exact 6
diff --git a/example_num_vars4_depth11/puzzle_943ed83b1d9326f2.txt b/example_num_vars4_depth11/puzzle_943ed83b1d9326f2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..96f23a578fd223459cac0052050d439878d3c383
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_943ed83b1d9326f2.txt
@@ -0,0 +1,8 @@
+new D → (((C → A) → A) → (D → ((B → C ∧ D) → ((D ∨ B) ∨ C) ∧ (B ∨ C) ∨ (A → D))))
+intro
+intro
+intro
+intro
+right
+intro
+exact 0
diff --git a/example_num_vars4_depth11/puzzle_a1c1d46d09302253.txt b/example_num_vars4_depth11/puzzle_a1c1d46d09302253.txt
new file mode 100644
index 0000000000000000000000000000000000000000..60245c4eeef3f505b1970b346ec7db9b19ab3260
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_a1c1d46d09302253.txt
@@ -0,0 +1,12 @@
+new C ∧ A → (((B → D) → B) → ((C → D) → B ∨ (D ∧ D) ∧ (B → C)))
+intro
+cases 0
+intro
+intro
+cases 0
+left
+apply 3
+intro
+cases 0
+apply 4
+exact 1
diff --git a/example_num_vars4_depth11/puzzle_a47e2630419ae51d.txt b/example_num_vars4_depth11/puzzle_a47e2630419ae51d.txt
new file mode 100644
index 0000000000000000000000000000000000000000..57c5f48ba9d63b10bcf4bea496dc5bd1b241c23c
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_a47e2630419ae51d.txt
@@ -0,0 +1,13 @@
+new B ∨ C → (D ∧ A → (B → (B ∨ A) ∧ ((D ∨ C) ∨ C)))
+intro
+intro
+cases 1
+cases 1
+intro
+cases 1
+constructor
+left
+exact 6
+left
+left
+exact 2
diff --git a/example_num_vars4_depth11/puzzle_a62bec5097b6f298.txt b/example_num_vars4_depth11/puzzle_a62bec5097b6f298.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a5ca12d6628ff44b26d10df64e1f45b2f0f8d3c2
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_a62bec5097b6f298.txt
@@ -0,0 +1,5 @@
+new B → (((A → B) → D) → B ∨ A)
+intro
+intro
+left
+exact 0
diff --git a/example_num_vars4_depth11/puzzle_b387f60d234ae82e.txt b/example_num_vars4_depth11/puzzle_b387f60d234ae82e.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bc15ac91ce2415a6d54b2671a03fd1b87bf7ae85
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_b387f60d234ae82e.txt
@@ -0,0 +1,9 @@
+new D → (D ∧ B → (B ∨ D → ((B ∨ C) ∨ C → D)))
+intro
+intro
+cases 1
+intro
+cases 1
+intro
+cases 1
+exact 0
diff --git a/example_num_vars4_depth11/puzzle_c0d395b173b49097.txt b/example_num_vars4_depth11/puzzle_c0d395b173b49097.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7dd41d493ccec122ee4ce559bb9b73a96698a994
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_c0d395b173b49097.txt
@@ -0,0 +1,7 @@
+new D → (C → ((C → (B → A)) ∧ C → C))
+intro
+intro
+intro
+cases 2
+cases 2
+exact 1
diff --git a/example_num_vars4_depth11/puzzle_c23c74d9d31f886d.txt b/example_num_vars4_depth11/puzzle_c23c74d9d31f886d.txt
new file mode 100644
index 0000000000000000000000000000000000000000..acd0bba20acb62c51d9f63fcf98072432c5b5ad1
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_c23c74d9d31f886d.txt
@@ -0,0 +1,11 @@
+new (D → A) → (C ∧ D → (((C → B) → B) → ((A → C) → (B ∨ D) ∧ D)))
+intro
+intro
+cases 1
+intro
+intro
+cases 1
+constructor
+right
+exact 3
+exact 3
diff --git a/example_num_vars4_depth11/puzzle_c70f7f384c323149.txt b/example_num_vars4_depth11/puzzle_c70f7f384c323149.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6a49001b8c34dbe6031d6fb1385d08d14529de93
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_c70f7f384c323149.txt
@@ -0,0 +1,11 @@
+new (B ∨ D → A) → ((C → D ∧ D) → (((D → B) → C) → (B → ((C ∨ (C ∨ D)) ∨ ((B ∨ C) ∨ D)) ∨ (A ∨ C))))
+intro
+intro
+intro
+intro
+left
+left
+left
+apply 2
+intro
+exact 3
diff --git a/example_num_vars4_depth11/puzzle_d1f33ed00686ea1e.txt b/example_num_vars4_depth11/puzzle_d1f33ed00686ea1e.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0639ebda12f11cd423321a9a679e2fe996d13794
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_d1f33ed00686ea1e.txt
@@ -0,0 +1,14 @@
+new A ∨ C → (C ∧ A → (A ∨ B → (D → (B ∨ A) ∧ (C → D))))
+intro
+intro
+cases 1
+intro
+cases 1
+intro
+cases 1
+constructor
+right
+exact 3
+intro
+cases 1
+exact 7
diff --git a/example_num_vars4_depth11/puzzle_d42a352c28851973.txt b/example_num_vars4_depth11/puzzle_d42a352c28851973.txt
new file mode 100644
index 0000000000000000000000000000000000000000..73c21997dafbe9060aaf1f0e2c94a3bc97823af0
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_d42a352c28851973.txt
@@ -0,0 +1,12 @@
+new (B → A) → (B ∨ D → ((A → D ∧ C) → (((D → C) → C) → (C ∧ B → (A ∨ B ∧ B) ∨ C))))
+intro
+intro
+intro
+intro
+intro
+cases 4
+cases 4
+left
+left
+apply 0
+exact 6
diff --git a/example_num_vars4_depth11/puzzle_dcf1b0c87f351e7c.txt b/example_num_vars4_depth11/puzzle_dcf1b0c87f351e7c.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6eaaed042d8f75ea5f95c43689a68607e1899a8c
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_dcf1b0c87f351e7c.txt
@@ -0,0 +1,9 @@
+new (C → D) → ((B → D) → (B → ((B ∨ C → B) → (A ∨ D) ∨ (D ∨ D ∧ D))))
+intro
+intro
+intro
+intro
+left
+right
+apply 1
+exact 2
diff --git a/example_num_vars4_depth11/puzzle_e192e1eca2701269.txt b/example_num_vars4_depth11/puzzle_e192e1eca2701269.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6bd2a60a198b21feb2b890d7d636237f077171ac
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_e192e1eca2701269.txt
@@ -0,0 +1,11 @@
+new B → (C → (A ∧ B → ((C → D) → ((A → D ∨ A) → A ∨ A))))
+intro
+intro
+intro
+cases 2
+intro
+cases 2
+intro
+cases 2
+left
+exact 3
diff --git a/example_num_vars4_depth11/puzzle_e71730c8cce428f4.txt b/example_num_vars4_depth11/puzzle_e71730c8cce428f4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a1a3c144670aded9936d4a6a76c877e122010760
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_e71730c8cce428f4.txt
@@ -0,0 +1,5 @@
+new (B → D) → (C → ((A ∨ A ∧ A) ∨ C → C))
+intro
+intro
+intro
+exact 1
diff --git a/example_num_vars4_depth11/puzzle_f209c1fadbfb887a.txt b/example_num_vars4_depth11/puzzle_f209c1fadbfb887a.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2af22e9fcad60a874e009ef31394dbbd1f141b2e
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_f209c1fadbfb887a.txt
@@ -0,0 +1,24 @@
+new A ∧ D → ((D → C) → ((A → B) → ((D ∨ C → A) → ((((C ∧ D) ∧ A) ∧ B) ∧ (D ∧ C)) ∧ C)))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+constructor
+constructor
+constructor
+constructor
+constructor
+apply 3
+exact 2
+exact 2
+exact 1
+apply 4
+exact 1
+constructor
+exact 2
+apply 3
+exact 2
+apply 3
+exact 2
diff --git a/example_num_vars4_depth11/puzzle_f2f522c84b327056.txt b/example_num_vars4_depth11/puzzle_f2f522c84b327056.txt
new file mode 100644
index 0000000000000000000000000000000000000000..331e116cbb5b3db0e11697809775078d0f31a02d
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_f2f522c84b327056.txt
@@ -0,0 +1,10 @@
+new A ∧ B → (C → ((B → C ∧ D) → (B ∨ B) ∧ A))
+intro
+cases 0
+intro
+intro
+cases 0
+constructor
+left
+exact 2
+exact 1
diff --git a/example_num_vars4_depth11/puzzle_f68357ccbc422f56.txt b/example_num_vars4_depth11/puzzle_f68357ccbc422f56.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0623a076e6c7177665041b46ad4d2d4348a098d1
--- /dev/null
+++ b/example_num_vars4_depth11/puzzle_f68357ccbc422f56.txt
@@ -0,0 +1,12 @@
+new D ∧ A → (A ∨ D → (B → (((C ∧ C) ∧ C → D ∧ D ∨ C) ∨ A → (D → D ∨ C))))
+intro
+cases 0
+intro
+intro
+cases 0
+intro
+cases 0
+intro
+cases 0
+left
+exact 1
diff --git a/example_num_vars4_depth8/puzzle_c53d3011978a3165.txt b/example_num_vars4_depth8/puzzle_c53d3011978a3165.txt
new file mode 100644
index 0000000000000000000000000000000000000000..710e77d304313a206484338230816ff3f18ec1a3
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_c53d3011978a3165.txt
@@ -0,0 +1,22 @@
+new B ∧ C → (D → (B → (B ∨ C → (A → (D ∨ A → D ∨ D) ∧ (((D → C) → D) ∧ (B → C ∨ C))))))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+intro
+cases 0
+constructor
+intro
+cases 0
+left
+exact 3
+constructor
+intro
+cases 0
+exact 3
+intro
+cases 0
+left
+exact 2
diff --git a/result.csv b/result.csv
index 1a57009c97d72243e388cbc42ec8db8e6b55738f..e2349df7d0c609bc6c79551c543998866f957eda 100644
--- a/result.csv
+++ b/result.csv
@@ -1,23 +1,101 @@
 file path,puzzle and proof correct
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_011e5f138cdb88db.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_08e6d61c3d448a35.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_09db608eb7e35ee5.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_09ed109fcb4bea57.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_0aeea3a7b4d18dc6.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_0afc6b20369b236c.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_0b3b2c3bab4676df.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_101a7914d69311e6.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_159ba1b88f95b4a8.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_1924e68ac4c539a0.txt,True
 output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_195d19d1e41d92fe.txt,True
 output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_1a0e2e78cf918942.txt,True
 output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_1b59595558fb1629.txt,True
 output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_1d2f5082f328f910.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_1e62810292ff4c76.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_20a2d2ee6fb60fd9.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_253ddb1b0e2150ca.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_272b2b052beb9189.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_2748bf4a981a9274.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_281659fbf8d98477.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_2c2e3fa7141e68c5.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_354c95b5a6f9d574.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_36c05f0abf43ca08.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_3ed09f31934b9305.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_413ee27ba32c4feb.txt,True
+output/prop_logic_puzzle/example_num_vars10_depth10/puzzle_41c37c19d066338a.txt,True
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 output/prop_logic_puzzle/example_num_vars10_depth6/puzzle_025f3a7c66923cd5.txt,True
@@ -319,6 +397,7 @@ output/prop_logic_puzzle/example_num_vars10_depth9/puzzle_0ab364a9e8cc4c6c.txt,T
 output/prop_logic_puzzle/example_num_vars10_depth9/puzzle_0ad1a689e8fae558.txt,True
 output/prop_logic_puzzle/example_num_vars10_depth9/puzzle_0cbbfb6e661f7646.txt,True
 output/prop_logic_puzzle/example_num_vars10_depth9/puzzle_0f123b5e97c1040c.txt,True
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 output/prop_logic_puzzle/example_num_vars10_depth9/puzzle_1592aa0be30891f3.txt,True
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 output/prop_logic_puzzle/example_num_vars10_depth9/puzzle_180be99a6a4739cf.txt,True
@@ -534,6 +613,103 @@ output/prop_logic_puzzle/example_num_vars4_depth10/puzzle_f46d3eedfccebb9a.txt,T
 output/prop_logic_puzzle/example_num_vars4_depth10/puzzle_f96770aa6941b267.txt,True
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 output/prop_logic_puzzle/example_num_vars4_depth10/puzzle_fc6877777318e16e.txt,True
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 output/prop_logic_puzzle/example_num_vars4_depth6/puzzle_07cf1bfff43d1805.txt,True
@@ -803,6 +979,7 @@ output/prop_logic_puzzle/example_num_vars4_depth8/puzzle_c0a5390174dc0ecc.txt,Tr
 output/prop_logic_puzzle/example_num_vars4_depth8/puzzle_c0ca450129a7a9f9.txt,True
 output/prop_logic_puzzle/example_num_vars4_depth8/puzzle_c2096a7c2aac3004.txt,True
 output/prop_logic_puzzle/example_num_vars4_depth8/puzzle_c27dde28b470aab9.txt,True
+output/prop_logic_puzzle/example_num_vars4_depth8/puzzle_c53d3011978a3165.txt,True
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 output/prop_logic_puzzle/example_num_vars4_depth8/puzzle_c9d44a86ca1ecd29.txt,True
@@ -1019,6 +1196,32 @@ output/prop_logic_puzzle/example_num_vars5_depth10/puzzle_fa2addb72c2fe7da.txt,T
 output/prop_logic_puzzle/example_num_vars5_depth10/puzzle_fa7122780aa60f76.txt,True
 output/prop_logic_puzzle/example_num_vars5_depth10/puzzle_ff1cb5015c0664b0.txt,True
 output/prop_logic_puzzle/example_num_vars5_depth10/puzzle_ff88ad8b614ee06a.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_109e2ae0c3aab2e5.txt,True
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+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_5edab902f334013c.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_66d8c7dc820cab5d.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_6fed40b3c84432fd.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_845815a67d0dfae0.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_8651a25bd7e6dfc8.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_a12a8906af383553.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_a24861875bcf57f9.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_a4ac5a9dff06639f.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_aaaa4d97fa900896.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_ab54156476e88a11.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_b43225e8af32185b.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_b9c67ee02ad0248c.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_c159ed5cc47a5695.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_c28ca8ec43dc3c39.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_c2e2f6d1f0e6d7f7.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_dc77f7196eb27dbb.txt,True
+output/prop_logic_puzzle/example_num_vars5_depth11/puzzle_f93681d801d8ec7a.txt,True
 output/prop_logic_puzzle/example_num_vars5_depth6/puzzle_0297ce876b24a711.txt,True
 output/prop_logic_puzzle/example_num_vars5_depth6/puzzle_02f077e1e793a5cc.txt,True
 output/prop_logic_puzzle/example_num_vars5_depth6/puzzle_053365cba41e8fad.txt,True
@@ -2830,6 +3033,7 @@ output/prop_logic_puzzle/example_num_vars8_depth9/puzzle_55ba1a3e5bcf6785.txt,Tr
 output/prop_logic_puzzle/example_num_vars8_depth9/puzzle_58194a6bc515d627.txt,True
 output/prop_logic_puzzle/example_num_vars8_depth9/puzzle_58f93b66d42daf70.txt,True
 output/prop_logic_puzzle/example_num_vars8_depth9/puzzle_5e52f3bab519aba9.txt,True
+output/prop_logic_puzzle/example_num_vars8_depth9/puzzle_619af33a6d2ce750.txt,True
 output/prop_logic_puzzle/example_num_vars8_depth9/puzzle_6b03de9e8d0a294e.txt,True
 output/prop_logic_puzzle/example_num_vars8_depth9/puzzle_6b5e51fb6bfdfc2f.txt,True
 output/prop_logic_puzzle/example_num_vars8_depth9/puzzle_6b6fcaff040237ee.txt,True