diff --git a/example_num_vars10_depth7/puzzle_019f0de504ffbda3.txt b/example_num_vars10_depth7/puzzle_019f0de504ffbda3.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1a1c8af58494447ae0af23d639732738a2341405
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_019f0de504ffbda3.txt
@@ -0,0 +1,14 @@
+new (A → J) → (A → (E ∧ G → ((C → ((G → C) → H)) → ((H → F ∧ D) → ((J → G) → (((G → C) → F) → (B ∨ J → (((I → C) ∨ (G ∧ A ∨ F) → (I ∨ F) ∨ (H → C)) → A))))))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+intro
+intro
+intro
+cases 2
+intro
+cases 2
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_0a7388db3a5cb945.txt b/example_num_vars10_depth7/puzzle_0a7388db3a5cb945.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0f44fae041bb2ed326b4a56c1901735edd24a271
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_0a7388db3a5cb945.txt
@@ -0,0 +1,11 @@
+new J ∧ C → (F → (((E → D) → F) → (F ∨ D → (((J → F) → F) → (((F → B) → F) → ((B → H ∧ F) → J))))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+intro
+intro
+cases 0
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_0a902ed63d87711b.txt b/example_num_vars10_depth7/puzzle_0a902ed63d87711b.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b1a1c99fc8ac3fb79b925b164da2489b0b35ad61
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_0a902ed63d87711b.txt
@@ -0,0 +1,11 @@
+new F → (J → (((H → I) → I) → ((A ∨ C → E) → (G → (A → ((C → B ∧ J) → E))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+apply 3
+left
+exact 5
diff --git a/example_num_vars10_depth7/puzzle_0d489378d5868874.txt b/example_num_vars10_depth7/puzzle_0d489378d5868874.txt
new file mode 100644
index 0000000000000000000000000000000000000000..91c566a7f406bb6dd548fd9ed5e054404f328114
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_0d489378d5868874.txt
@@ -0,0 +1,21 @@
+new (E → F ∧ B) → ((G → B) → ((D → A) → (G ∨ D → (G ∧ A → (C ∧ B → (J ∧ G → (H → ((D → A) → J ∨ (A ∨ I)))))))))
+intro
+intro
+intro
+intro
+intro
+cases 4
+intro
+cases 7
+intro
+cases 10
+intro
+cases 4
+cases 7
+cases 10
+intro
+cases 4
+cases 7
+cases 10
+left
+exact 11
diff --git a/example_num_vars10_depth7/puzzle_0f235b71af4a137e.txt b/example_num_vars10_depth7/puzzle_0f235b71af4a137e.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8698c7abb550430ed51d4f47c0fcdcbd59c62fef
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_0f235b71af4a137e.txt
@@ -0,0 +1,10 @@
+new (A → C) → ((C → E) → ((C ∨ H → I) → (((J → C) → C) → (J → (C ∨ A → (B → (C → C)))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+exact 7
diff --git a/example_num_vars10_depth7/puzzle_153aa4cb3ffb0f60.txt b/example_num_vars10_depth7/puzzle_153aa4cb3ffb0f60.txt
new file mode 100644
index 0000000000000000000000000000000000000000..adcf22a484566548462a4d8828defdcad71c4fa5
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_153aa4cb3ffb0f60.txt
@@ -0,0 +1,13 @@
+new G ∨ A → (((H → A) → E) → (((I → D) → C) → (B ∧ I → ((A → I) → ((G → C) → (C → ((C → J ∧ J) → (B → E) ∨ I)))))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+intro
+intro
+intro
+cases 3
+right
+exact 5
diff --git a/example_num_vars10_depth7/puzzle_185bdd2b6609ac43.txt b/example_num_vars10_depth7/puzzle_185bdd2b6609ac43.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ed513da3f9507504a3aee2eb22d7f2b57a4dd223
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_185bdd2b6609ac43.txt
@@ -0,0 +1,11 @@
+new H → (E → ((I → H) → ((D ∨ B → C) → (B → (H ∨ C → (A → F ∨ (A ∨ I)))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+right
+left
+exact 6
diff --git a/example_num_vars10_depth7/puzzle_1945ac2c2bbd04df.txt b/example_num_vars10_depth7/puzzle_1945ac2c2bbd04df.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6ecb31a66ecfe6a170a3fbd996f98659d5912103
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_1945ac2c2bbd04df.txt
@@ -0,0 +1,9 @@
+new C ∨ I → (J → ((H → J) → ((I → G ∧ C) → ((G → I) → ((A → F ∧ A) → J ∨ E)))))
+intro
+intro
+intro
+intro
+intro
+intro
+left
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_1d2b477c56ccbeec.txt b/example_num_vars10_depth7/puzzle_1d2b477c56ccbeec.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3d4ee57803e09ad8a16329336e4996e768c9dc7b
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_1d2b477c56ccbeec.txt
@@ -0,0 +1,10 @@
+new I → ((C → I) → (G ∧ E → (D ∨ F → ((I → H) → (J → G)))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+intro
+cases 2
+exact 3
diff --git a/example_num_vars10_depth7/puzzle_1d606e98cdeee6b7.txt b/example_num_vars10_depth7/puzzle_1d606e98cdeee6b7.txt
new file mode 100644
index 0000000000000000000000000000000000000000..945d5bd5ac92c67fd4c7fb830ecbb8d337be9723
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_1d606e98cdeee6b7.txt
@@ -0,0 +1,12 @@
+new I ∧ C → (H ∨ F → (F → (E → (D → ((C → B) → ((H → J) → G ∧ G ∨ D))))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+intro
+intro
+cases 0
+right
+exact 6
diff --git a/example_num_vars10_depth7/puzzle_1d7e39df7bb35b49.txt b/example_num_vars10_depth7/puzzle_1d7e39df7bb35b49.txt
new file mode 100644
index 0000000000000000000000000000000000000000..771e2cc23c16cf76de15efd026f3b9559e71ddb1
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_1d7e39df7bb35b49.txt
@@ -0,0 +1,13 @@
+new (G ∨ D → I) → (J ∨ B → (((J → C) → B) → (C ∧ B → (H ∨ (H ∨ (J → J))) ∨ (F → E) ∧ (A ∨ (C ∨ I)))))
+intro
+intro
+intro
+intro
+cases 3
+cases 3
+left
+right
+right
+intro
+cases 3
+exact 8
diff --git a/example_num_vars10_depth7/puzzle_1f9c8d40225b25c4.txt b/example_num_vars10_depth7/puzzle_1f9c8d40225b25c4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d679e76a4447da3ba6b1d4b88a40c8d4296f0fd2
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_1f9c8d40225b25c4.txt
@@ -0,0 +1,15 @@
+new G → (F → (E ∧ C → ((C ∨ H → J) → (F ∧ I → (F ∧ A → A ∨ ((B ∨ ((E ∨ D) ∧ I ∨ (H → (I → G)))) ∨ ((G ∨ C) ∨ (H ∨ I))))))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+cases 6
+intro
+cases 9
+cases 2
+cases 6
+cases 9
+left
+exact 11
diff --git a/example_num_vars10_depth7/puzzle_2678f0039e65da69.txt b/example_num_vars10_depth7/puzzle_2678f0039e65da69.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2809cbc586460721c855f98f01c1e15e643801e2
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_2678f0039e65da69.txt
@@ -0,0 +1,13 @@
+new (B → I) → (E ∧ F → ((E → I) → (E ∧ F) ∧ (E ∧ I ∨ A)))
+intro
+intro
+cases 1
+intro
+cases 1
+constructor
+exact 1
+left
+constructor
+exact 2
+apply 4
+exact 2
diff --git a/example_num_vars10_depth7/puzzle_2ee09313ea2a0924.txt b/example_num_vars10_depth7/puzzle_2ee09313ea2a0924.txt
new file mode 100644
index 0000000000000000000000000000000000000000..af14b6978cf97c3646d42bd049ea852a583fbd1d
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_2ee09313ea2a0924.txt
@@ -0,0 +1,9 @@
+new D ∨ F → (D → ((I → F ∧ E) → (C → ((A → C) → (D ∨ J) ∨ (F ∨ F)))))
+intro
+intro
+intro
+intro
+intro
+left
+left
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_2f40a67abad35f20.txt b/example_num_vars10_depth7/puzzle_2f40a67abad35f20.txt
new file mode 100644
index 0000000000000000000000000000000000000000..454a94d9fb04403ed0ebfda03eae8feb023a84e7
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_2f40a67abad35f20.txt
@@ -0,0 +1,12 @@
+new I ∧ B → ((B → F ∧ G) → (G → ((A ∨ D → A) → (C ∧ J → J))))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+intro
+cases 8
+cases 0
+cases 8
+exact 10
diff --git a/example_num_vars10_depth7/puzzle_324a7b5b1682fc22.txt b/example_num_vars10_depth7/puzzle_324a7b5b1682fc22.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c4709bf862f0d0c9b904fc8787fa5d95f8134bf6
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_324a7b5b1682fc22.txt
@@ -0,0 +1,16 @@
+new ((B → C) → G) → ((I ∧ C → A) ∧ I → (G ∧ A → (I ∨ C → (C ∨ I → (E → ((A → C) → (J ∧ G → G)))))))
+intro
+intro
+cases 1
+intro
+cases 4
+intro
+intro
+intro
+intro
+intro
+cases 11
+cases 1
+cases 4
+cases 11
+exact 5
diff --git a/example_num_vars10_depth7/puzzle_3570ba111cfcb7ab.txt b/example_num_vars10_depth7/puzzle_3570ba111cfcb7ab.txt
new file mode 100644
index 0000000000000000000000000000000000000000..be74cf3b2225caa981844aa0de0dc21f4bea9dae
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_3570ba111cfcb7ab.txt
@@ -0,0 +1,10 @@
+new (B ∨ H → A) → (E ∧ F → (G → (F ∧ (J ∧ G) ∨ F) ∧ F))
+intro
+intro
+cases 1
+intro
+cases 1
+constructor
+right
+exact 3
+exact 3
diff --git a/example_num_vars10_depth7/puzzle_37195c58091dbdb5.txt b/example_num_vars10_depth7/puzzle_37195c58091dbdb5.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3e150b559ed31991e748ec0d195e0e8ed793372e
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_37195c58091dbdb5.txt
@@ -0,0 +1,14 @@
+new (A → C) → (J ∧ H → (H ∧ D → (F ∨ A → ((J → I) → ((C → D) → (D ∨ G) ∨ (H → J))))))
+intro
+intro
+cases 1
+intro
+cases 4
+intro
+intro
+intro
+cases 1
+cases 4
+left
+left
+exact 6
diff --git a/example_num_vars10_depth7/puzzle_39632149764a494e.txt b/example_num_vars10_depth7/puzzle_39632149764a494e.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a6b93cbaf13e30719869e857e774d24b2c200363
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_39632149764a494e.txt
@@ -0,0 +1,9 @@
+new H ∧ E → (E ∨ H → ((C ∨ H → B) → B))
+intro
+cases 0
+intro
+intro
+cases 0
+apply 4
+right
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_3a5c0662033ffb26.txt b/example_num_vars10_depth7/puzzle_3a5c0662033ffb26.txt
new file mode 100644
index 0000000000000000000000000000000000000000..48da3fbb03c4404940cefd8e8f466c292b55ae51
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_3a5c0662033ffb26.txt
@@ -0,0 +1,11 @@
+new J → (((J → H) → E) → ((E → B) → (((G → J) → G) → ((A ∨ E → I) → ((G → D ∧ A) → G ∨ (E → F))))))
+intro
+intro
+intro
+intro
+intro
+intro
+left
+apply 3
+intro
+exact 0
diff --git a/example_num_vars10_depth7/puzzle_3a99f8de0e9abcdf.txt b/example_num_vars10_depth7/puzzle_3a99f8de0e9abcdf.txt
new file mode 100644
index 0000000000000000000000000000000000000000..41db87bb119e82fc8e8be80ba8f01fd4c64e4541
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_3a99f8de0e9abcdf.txt
@@ -0,0 +1,13 @@
+new F ∧ ((B ∧ D) ∧ J) → (C → (D → ((G → J ∧ D) → D ∨ H)))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+cases 2
+cases 7
+cases 8
+cases 10
+left
+exact 4
diff --git a/example_num_vars10_depth7/puzzle_3f8ac0645bea50b4.txt b/example_num_vars10_depth7/puzzle_3f8ac0645bea50b4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7584e6a27bdd7e4b01b6f8327c68ca7ba9c5444b
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_3f8ac0645bea50b4.txt
@@ -0,0 +1,31 @@
+new F ∧ H → ((H ∨ I → B) → (I → (I ∧ D → (F → ((J → E) → (((C → F) → A) → (D → (B → (F ∧ J → (G → E ∧ (H ∧ G)))))))))))
+intro
+cases 0
+intro
+intro
+intro
+cases 5
+intro
+intro
+intro
+intro
+cases 0
+cases 5
+intro
+cases 0
+cases 5
+intro
+cases 21
+cases 0
+cases 5
+cases 21
+intro
+cases 0
+cases 5
+cases 21
+constructor
+apply 9
+exact 23
+constructor
+exact 2
+exact 30
diff --git a/example_num_vars10_depth7/puzzle_4238d9f321ce9a83.txt b/example_num_vars10_depth7/puzzle_4238d9f321ce9a83.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9f5cd3c88279655a2debf12af3d0cdc076ca8af0
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_4238d9f321ce9a83.txt
@@ -0,0 +1,13 @@
+new D → (D ∧ C → (I ∨ D → (B ∨ E → ((B → F) → (B ∧ D → F)))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+intro
+cases 7
+cases 1
+cases 7
+apply 6
+exact 8
diff --git a/example_num_vars10_depth7/puzzle_45d275a6e9c99e38.txt b/example_num_vars10_depth7/puzzle_45d275a6e9c99e38.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ab2d1d5b9caf64e13b0fddbd28cd4ddc586af181
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_45d275a6e9c99e38.txt
@@ -0,0 +1,9 @@
+new J → (E → (F → (D → (C → D) ∧ D)))
+intro
+intro
+intro
+intro
+constructor
+intro
+exact 3
+exact 3
diff --git a/example_num_vars10_depth7/puzzle_47ac7ea363a615b4.txt b/example_num_vars10_depth7/puzzle_47ac7ea363a615b4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a0ae807bbc6bd57cdcae99fda398a9444a494fc9
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_47ac7ea363a615b4.txt
@@ -0,0 +1,10 @@
+new (F → E) → (((J → B) → C) → ((D ∨ I → E) → (A → (((I → A ∧ A) → H) → (B → (B ∨ A) ∨ J)))))
+intro
+intro
+intro
+intro
+intro
+intro
+left
+left
+exact 5
diff --git a/example_num_vars10_depth7/puzzle_499c5bdb4893bca0.txt b/example_num_vars10_depth7/puzzle_499c5bdb4893bca0.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8ff69dae089725ca304633d151dc913d67c682c4
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_499c5bdb4893bca0.txt
@@ -0,0 +1,9 @@
+new A ∧ H → ((B → H) → (F ∧ A → H))
+intro
+cases 0
+intro
+intro
+cases 4
+cases 0
+cases 4
+exact 2
diff --git a/example_num_vars10_depth7/puzzle_4c6cd04c2f31b22b.txt b/example_num_vars10_depth7/puzzle_4c6cd04c2f31b22b.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a65af1b2668256446a107650a61a9f7f40d55574
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_4c6cd04c2f31b22b.txt
@@ -0,0 +1,4 @@
+new F → (E → E)
+intro
+intro
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_4e1161e48dea735d.txt b/example_num_vars10_depth7/puzzle_4e1161e48dea735d.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5183984e7679074fad2fdbb3695549cb2e586090
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_4e1161e48dea735d.txt
@@ -0,0 +1,10 @@
+new ((J → D) → H) → ((E → H) → (A ∧ C → ((H ∨ F ∧ H) ∨ (C → H) → (E → A))))
+intro
+intro
+intro
+cases 2
+intro
+cases 2
+intro
+cases 2
+exact 3
diff --git a/example_num_vars10_depth7/puzzle_5163d5c03b055430.txt b/example_num_vars10_depth7/puzzle_5163d5c03b055430.txt
new file mode 100644
index 0000000000000000000000000000000000000000..751081fb4e9aca0b3c6bf2fe244693a7aa9492c9
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_5163d5c03b055430.txt
@@ -0,0 +1,12 @@
+new ((F → A) → H) → ((I → B) → (A → (D ∨ F → ((E → B) → ((B → I) ∨ ((A → F) → H)) ∨ (H → (A → I) ∧ (I → H))))))
+intro
+intro
+intro
+intro
+intro
+left
+right
+intro
+apply 0
+intro
+exact 2
diff --git a/example_num_vars10_depth7/puzzle_53447649c3d80d86.txt b/example_num_vars10_depth7/puzzle_53447649c3d80d86.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f925332ea08787bc04a0395e3e35d35e4b2cacec
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_53447649c3d80d86.txt
@@ -0,0 +1,6 @@
+new D → (H → C) ∨ ((I → G) → A ∨ D)
+intro
+right
+intro
+right
+exact 0
diff --git a/example_num_vars10_depth7/puzzle_565d607435ca5bee.txt b/example_num_vars10_depth7/puzzle_565d607435ca5bee.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c67d48dc0ff37ab2a08781b9b40ce44335691de4
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_565d607435ca5bee.txt
@@ -0,0 +1,11 @@
+new (E → B ∧ J) → (E → ((I → F) → (H → (C → ((F → J) → (I → (J → (F ∨ C → J))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+exact 7
diff --git a/example_num_vars10_depth7/puzzle_5ac9ce8469798dc2.txt b/example_num_vars10_depth7/puzzle_5ac9ce8469798dc2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..49534920daf6020fe0ead12cd6bcc32fc370ba06
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_5ac9ce8469798dc2.txt
@@ -0,0 +1,8 @@
+new (F → C) → (H → ((I → G ∧ E) → ((I ∨ H) ∨ E) ∨ C ∧ (H ∨ H)))
+intro
+intro
+intro
+left
+left
+right
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_6fce060b509f5dd3.txt b/example_num_vars10_depth7/puzzle_6fce060b509f5dd3.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5a9238ba6d373474e1b6131806e3e9370b1ba571
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_6fce060b509f5dd3.txt
@@ -0,0 +1,11 @@
+new B ∧ F → (F ∧ I → (B → (D ∨ J → H ∨ F)))
+intro
+cases 0
+intro
+cases 3
+intro
+intro
+cases 0
+cases 3
+right
+exact 2
diff --git a/example_num_vars10_depth7/puzzle_70232bff6966e474.txt b/example_num_vars10_depth7/puzzle_70232bff6966e474.txt
new file mode 100644
index 0000000000000000000000000000000000000000..81114d00310edad8b7dcc55cd4ddc1e9ac1a297d
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_70232bff6966e474.txt
@@ -0,0 +1,11 @@
+new E → (G ∧ C → (F ∧ A → (((C → A) → H) → F ∧ ((I ∧ J) ∧ (C ∧ E → E)) ∨ G)))
+intro
+intro
+cases 1
+intro
+cases 4
+intro
+cases 1
+cases 4
+right
+exact 2
diff --git a/example_num_vars10_depth7/puzzle_7904eff63250ba74.txt b/example_num_vars10_depth7/puzzle_7904eff63250ba74.txt
new file mode 100644
index 0000000000000000000000000000000000000000..13c8a1f2f2215e7f4c6242ae2328485b21a02788
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_7904eff63250ba74.txt
@@ -0,0 +1,20 @@
+new (C → A ∧ B) → (((C → G) → A) → (((H → J) → F) → (J → (((F → A) → I) → ((J ∨ C → E) → (B ∧ A → (H ∧ J ∨ (E ∨ A)) ∧ F))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+cases 6
+cases 6
+constructor
+right
+left
+apply 5
+left
+exact 3
+apply 2
+intro
+cases 6
+exact 3
diff --git a/example_num_vars10_depth7/puzzle_7b91cce1a969600a.txt b/example_num_vars10_depth7/puzzle_7b91cce1a969600a.txt
new file mode 100644
index 0000000000000000000000000000000000000000..db4a28b35e954f262729238ccf2855604f79bd3f
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_7b91cce1a969600a.txt
@@ -0,0 +1,13 @@
+new F ∧ J → ((D → G) → (A ∧ G → (C ∨ G → (((E → D) → F) → (H → ((C → J) → J))))))
+intro
+cases 0
+intro
+intro
+cases 4
+intro
+intro
+intro
+intro
+cases 0
+cases 4
+exact 2
diff --git a/example_num_vars10_depth7/puzzle_7cd89b4a911a5737.txt b/example_num_vars10_depth7/puzzle_7cd89b4a911a5737.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fffdd259fb2f8b01d12946b757348eba9e1f971c
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_7cd89b4a911a5737.txt
@@ -0,0 +1,15 @@
+new (C ∨ I → E) → (((B → G) → A) → (((F → J) → C) → (H → ((G ∨ F → C ∨ A) → ((J → D ∧ I) → (E ∧ B → ((G → B) ∨ A) ∨ C))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+cases 6
+cases 6
+left
+left
+intro
+cases 6
+exact 8
diff --git a/example_num_vars10_depth7/puzzle_832d8b3d3f20990d.txt b/example_num_vars10_depth7/puzzle_832d8b3d3f20990d.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e24603f2872ebd55a64b0c7b6de0ba6f57521887
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_832d8b3d3f20990d.txt
@@ -0,0 +1,15 @@
+new F ∧ B → (D ∧ H → ((G ∨ (H ∨ C)) ∧ (I ∧ G) → D))
+intro
+cases 0
+intro
+cases 3
+cases 0
+cases 3
+intro
+cases 10
+cases 0
+cases 3
+cases 10
+cases 12
+cases 18
+exact 4
diff --git a/example_num_vars10_depth7/puzzle_838cae991e9f2d18.txt b/example_num_vars10_depth7/puzzle_838cae991e9f2d18.txt
new file mode 100644
index 0000000000000000000000000000000000000000..506a5cb89ffb0d8057e134badc3b332f4f4b77e4
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_838cae991e9f2d18.txt
@@ -0,0 +1,14 @@
+new (J → G ∧ A) → (D → (A ∨ H → (C → (A ∧ J → (H ∨ A → D ∧ (J ∨ E))))))
+intro
+intro
+intro
+intro
+intro
+cases 4
+cases 4
+intro
+cases 4
+constructor
+exact 1
+left
+exact 6
diff --git a/example_num_vars10_depth7/puzzle_898c47b3a5f22e47.txt b/example_num_vars10_depth7/puzzle_898c47b3a5f22e47.txt
new file mode 100644
index 0000000000000000000000000000000000000000..06a69740524ded25d77476cb02c5289e81c697a1
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_898c47b3a5f22e47.txt
@@ -0,0 +1,17 @@
+new G → ((H → F) → ((E → B) → (E → (G ∧ C → (((F → E) → F) → (A → (I ∧ F → ((D → D) ∨ A → A))))))))
+intro
+intro
+intro
+intro
+intro
+cases 4
+intro
+intro
+intro
+cases 9
+cases 4
+cases 9
+intro
+cases 4
+cases 9
+exact 8
diff --git a/example_num_vars10_depth7/puzzle_8e28f1dd52c2761f.txt b/example_num_vars10_depth7/puzzle_8e28f1dd52c2761f.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9df603e688120ba3c8e25cd8f4f674ff0b8dd3cc
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_8e28f1dd52c2761f.txt
@@ -0,0 +1,11 @@
+new A → ((G ∨ E → G) → (((G → B) → D) → (((E → J) → G) → (F ∨ J → ((D → G) → ((H → C ∧ B) → (B → A ∨ (A ∨ J))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+left
+exact 0
diff --git a/example_num_vars10_depth7/puzzle_9375b97868f34b27.txt b/example_num_vars10_depth7/puzzle_9375b97868f34b27.txt
new file mode 100644
index 0000000000000000000000000000000000000000..255eb463370c8757dd16db1462653031bb370d24
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_9375b97868f34b27.txt
@@ -0,0 +1,14 @@
+new I → ((A → F) → (G ∧ I → (C ∨ F → ((J → I ∧ C) → ((B → F ∧ H) → (C → (D ∨ G) ∨ H ∧ H))))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+intro
+cases 2
+intro
+cases 2
+left
+right
+exact 3
diff --git a/example_num_vars10_depth7/puzzle_94e596e87b325a03.txt b/example_num_vars10_depth7/puzzle_94e596e87b325a03.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9f23721cb66989d8b26bede3865ddbca49d0e883
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_94e596e87b325a03.txt
@@ -0,0 +1,9 @@
+new (A → F) → (F → ((E → A) → ((C → F) → ((E ∨ D → H) → (H → F ∨ C)))))
+intro
+intro
+intro
+intro
+intro
+intro
+left
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_9dedcc4b21239674.txt b/example_num_vars10_depth7/puzzle_9dedcc4b21239674.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d7d916e2357823750b52f4b90701e390391f18a9
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_9dedcc4b21239674.txt
@@ -0,0 +1,5 @@
+new C ∧ E → C
+intro
+cases 0
+cases 0
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_9f296f61afcfe107.txt b/example_num_vars10_depth7/puzzle_9f296f61afcfe107.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a0d13365710d46260ade8387be792ae3f67d7a11
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_9f296f61afcfe107.txt
@@ -0,0 +1,10 @@
+new (I → J) → ((E ∨ A → E) → (E ∧ G → (((H → F) → E) → (((D → E) → E) → G ∨ B))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+cases 2
+left
+exact 4
diff --git a/example_num_vars10_depth7/puzzle_a86b55e4c6e84088.txt b/example_num_vars10_depth7/puzzle_a86b55e4c6e84088.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1af32efd52e079ad404ff5b31eac2bed5c483d4a
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_a86b55e4c6e84088.txt
@@ -0,0 +1,13 @@
+new A ∧ C → (D ∨ B → (H → (G ∧ H → (((D → B) → E) → ((C → B) → ((I → A ∧ D) → G))))))
+intro
+cases 0
+intro
+intro
+intro
+cases 5
+intro
+intro
+intro
+cases 0
+cases 5
+exact 6
diff --git a/example_num_vars10_depth7/puzzle_a8d493cd7c985888.txt b/example_num_vars10_depth7/puzzle_a8d493cd7c985888.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c3d0dc7dc834cd275a4fa9d790e4039c38548642
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_a8d493cd7c985888.txt
@@ -0,0 +1,13 @@
+new (A → I) → ((A → C) → (G ∨ C → (G → (I → (D ∨ I → (H ∧ F → ((C ∨ G → A) → F ∨ (G ∨ E))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+cases 6
+intro
+cases 6
+left
+exact 8
diff --git a/example_num_vars10_depth7/puzzle_a9b5be9000bc1715.txt b/example_num_vars10_depth7/puzzle_a9b5be9000bc1715.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cffc287ccafb5ee0577e844f1eed4163463d0f32
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_a9b5be9000bc1715.txt
@@ -0,0 +1,15 @@
+new G ∧ I → (C → (A → (J ∧ F → ((A → E) → (G → F ∨ (G → J))))))
+intro
+cases 0
+intro
+intro
+intro
+cases 5
+intro
+cases 0
+cases 5
+intro
+cases 0
+cases 5
+left
+exact 7
diff --git a/example_num_vars10_depth7/puzzle_ade8d8d92f0576b7.txt b/example_num_vars10_depth7/puzzle_ade8d8d92f0576b7.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d6d2fb8c4ad3c5602d9aaeac846197a4e754e239
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_ade8d8d92f0576b7.txt
@@ -0,0 +1,14 @@
+new J → ((D ∨ I → G) → (I → (((C → H) → D) → ((A → F) → ((C ∨ D → A) → F ∧ (C ∧ G)) ∨ (((G ∨ F) ∧ B) ∧ ((J → D) ∨ J) → B ∨ H)))))
+intro
+intro
+intro
+intro
+intro
+right
+intro
+cases 5
+cases 5
+cases 6
+cases 8
+left
+exact 11
diff --git a/example_num_vars10_depth7/puzzle_adec2fd6e8f91753.txt b/example_num_vars10_depth7/puzzle_adec2fd6e8f91753.txt
new file mode 100644
index 0000000000000000000000000000000000000000..45ead79d331705632e65b0d66fdc006f91efe223
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_adec2fd6e8f91753.txt
@@ -0,0 +1,7 @@
+new A → (F ∧ A → ((D → J ∧ J) → F))
+intro
+intro
+cases 1
+intro
+cases 1
+exact 2
diff --git a/example_num_vars10_depth7/puzzle_af61bf7cf193c4f4.txt b/example_num_vars10_depth7/puzzle_af61bf7cf193c4f4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7084b355e15fcbcb91214dd9bc8d81df54d6e782
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_af61bf7cf193c4f4.txt
@@ -0,0 +1,19 @@
+new J ∨ G → (D ∧ G → (((G → D) → E) → (((D → G) → G) → (((B → C) → I) → ((F → B) → (J → (((A → I) → H) → (F → E) ∧ D)))))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+intro
+intro
+intro
+cases 1
+constructor
+intro
+cases 1
+apply 4
+intro
+cases 1
+exact 2
+exact 2
diff --git a/example_num_vars10_depth7/puzzle_b0c8a244b446f1f6.txt b/example_num_vars10_depth7/puzzle_b0c8a244b446f1f6.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9d58f3f31f002b22d3ed6cfaa20f1e77e0647aae
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_b0c8a244b446f1f6.txt
@@ -0,0 +1,10 @@
+new H ∧ J → ((E → I ∧ F) → ((D ∨ F → B) → (H → ((C ∨ A → A) → J ∨ F))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+cases 0
+left
+exact 2
diff --git a/example_num_vars10_depth7/puzzle_b38da88ddb951a3c.txt b/example_num_vars10_depth7/puzzle_b38da88ddb951a3c.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b969c298eea3df05aabdc0ae52fe4016c0135911
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_b38da88ddb951a3c.txt
@@ -0,0 +1,15 @@
+new D ∨ J → ((H → J) → ((H ∨ C → D) → (F ∧ I → ((E → F) → (I ∧ (B ∧ F) → (H ∨ C → B))))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+intro
+cases 7
+intro
+cases 3
+cases 7
+cases 9
+cases 14
+exact 15
diff --git a/example_num_vars10_depth7/puzzle_bd20266e36626090.txt b/example_num_vars10_depth7/puzzle_bd20266e36626090.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e057f344d56073b84c7a8f736695bbfb069f74b6
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_bd20266e36626090.txt
@@ -0,0 +1,10 @@
+new J → ((A → G) ∨ (A → A) ∧ B → ((H ∨ D → J) → ((F → C) → ((B → H) → ((C → B ∨ F) → (B ∨ E) ∨ (H ∨ J))))))
+intro
+intro
+intro
+intro
+intro
+intro
+right
+right
+exact 0
diff --git a/example_num_vars10_depth7/puzzle_c044a2f2398ac5b3.txt b/example_num_vars10_depth7/puzzle_c044a2f2398ac5b3.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e51cd05728d8f3178b7e3ae66f8f68d765b94eea
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_c044a2f2398ac5b3.txt
@@ -0,0 +1,16 @@
+new B ∧ A → (B → (D ∧ J → (E ∧ I → (I → (G → ((J → F) → F))))))
+intro
+cases 0
+intro
+intro
+cases 4
+intro
+cases 7
+intro
+intro
+intro
+cases 0
+cases 4
+cases 7
+apply 12
+exact 6
diff --git a/example_num_vars10_depth7/puzzle_c61bc88d1244e4d0.txt b/example_num_vars10_depth7/puzzle_c61bc88d1244e4d0.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f2931fafbacf37978d6b0387e465d24741989357
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_c61bc88d1244e4d0.txt
@@ -0,0 +1,19 @@
+new E → ((C ∨ B → B) → (((C → F) → A) → (D → (((B → D) → H) → ((J ∨ E → D) → (B ∧ I → (C → (G ∨ D ∧ F) ∨ E ∧ (H ∨ D))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+cases 6
+intro
+cases 6
+right
+constructor
+exact 0
+left
+apply 4
+intro
+cases 6
+exact 3
diff --git a/example_num_vars10_depth7/puzzle_cbf9eb292d93bc8e.txt b/example_num_vars10_depth7/puzzle_cbf9eb292d93bc8e.txt
new file mode 100644
index 0000000000000000000000000000000000000000..68fc3f1629b13c34741a82a748ee542a34f3c2e8
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_cbf9eb292d93bc8e.txt
@@ -0,0 +1,8 @@
+new (J → C) ∧ F → (G → ((J → A) → I ∨ G))
+intro
+cases 0
+intro
+intro
+cases 0
+right
+exact 3
diff --git a/example_num_vars10_depth7/puzzle_ce3d97c87ba73e7a.txt b/example_num_vars10_depth7/puzzle_ce3d97c87ba73e7a.txt
new file mode 100644
index 0000000000000000000000000000000000000000..621c312193e1d18dd6b75296f03845b453bdcf4c
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_ce3d97c87ba73e7a.txt
@@ -0,0 +1,10 @@
+new (J → H ∧ H) → ((E → A) → (B ∨ D → ((E → D ∧ I) → (G → ((D → I) → H ∨ G) ∨ (J ∨ B → A ∨ B)))))
+intro
+intro
+intro
+intro
+intro
+left
+intro
+right
+exact 4
diff --git a/example_num_vars10_depth7/puzzle_d0b7f80caacc1f03.txt b/example_num_vars10_depth7/puzzle_d0b7f80caacc1f03.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9388d08bb1b0e9e89717aed26e496806361a55ab
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_d0b7f80caacc1f03.txt
@@ -0,0 +1,13 @@
+new (B → A) → (I → ((J ∨ C → B) → (B ∧ E → D ∨ ((D → G ∨ D) ∨ B ∧ I))))
+intro
+intro
+intro
+intro
+cases 3
+cases 3
+right
+left
+intro
+cases 3
+right
+exact 8
diff --git a/example_num_vars10_depth7/puzzle_d84ee79e40c51002.txt b/example_num_vars10_depth7/puzzle_d84ee79e40c51002.txt
new file mode 100644
index 0000000000000000000000000000000000000000..61aa6ca82da38d34afe12f35e58dffeac39e8edc
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_d84ee79e40c51002.txt
@@ -0,0 +1,16 @@
+new F → (F ∧ B → ((H → D) → ((J → D ∧ E) → (H ∧ E → (A ∨ B ∧ D) ∨ ((A → J) → C)))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+cases 6
+cases 1
+cases 6
+left
+right
+constructor
+exact 3
+apply 4
+exact 7
diff --git a/example_num_vars10_depth7/puzzle_dbbb3f349e7aebe5.txt b/example_num_vars10_depth7/puzzle_dbbb3f349e7aebe5.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ce9597a3edfa42aa5c9df8a27fdf500071360747
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_dbbb3f349e7aebe5.txt
@@ -0,0 +1,19 @@
+new H ∨ B → (((G → F) → H) → (I → (F ∧ J → (B ∧ C → (E → H) ∨ A))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+cases 6
+cases 3
+cases 6
+left
+intro
+cases 3
+cases 6
+apply 1
+intro
+cases 3
+cases 6
+exact 4
diff --git a/example_num_vars10_depth7/puzzle_e0b4e97ff3507179.txt b/example_num_vars10_depth7/puzzle_e0b4e97ff3507179.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dba75d7549eeeadfee81ee73e966d8060f1ab364
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_e0b4e97ff3507179.txt
@@ -0,0 +1,13 @@
+new (J → B) → (A ∨ B → (((A → I) → B) → (E → (C ∧ A → ((E → D) ∧ I → C)))))
+intro
+intro
+intro
+intro
+intro
+cases 4
+cases 4
+intro
+cases 9
+cases 4
+cases 9
+exact 5
diff --git a/example_num_vars10_depth7/puzzle_ecdc618e3e03e004.txt b/example_num_vars10_depth7/puzzle_ecdc618e3e03e004.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7fedeb96f3def6cb514b600ba15dbdc04f086745
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_ecdc618e3e03e004.txt
@@ -0,0 +1,15 @@
+new ((F → G) → C) → (F → (((D → H) → E) → ((A ∨ F → F) → ((F → E) → (F ∧ B → (E → (C ∨ B) ∧ B))))))
+intro
+intro
+intro
+intro
+intro
+intro
+cases 5
+cases 5
+intro
+cases 5
+constructor
+right
+exact 7
+exact 7
diff --git a/example_num_vars10_depth7/puzzle_f386ff92fb2845b1.txt b/example_num_vars10_depth7/puzzle_f386ff92fb2845b1.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8598f9fef812c275822eb35cf7844dbe12271036
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_f386ff92fb2845b1.txt
@@ -0,0 +1,15 @@
+new A ∨ D → (A → (D → (B ∧ J → (((B → I) → D) → ((A → F) → ((I → A) → ((G → F) → (J → F))))))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+intro
+intro
+intro
+cases 3
+intro
+cases 3
+apply 7
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_f5495bd8446385b7.txt b/example_num_vars10_depth7/puzzle_f5495bd8446385b7.txt
new file mode 100644
index 0000000000000000000000000000000000000000..48e87d6b3d32ad93122c8b0569433aeb96158225
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_f5495bd8446385b7.txt
@@ -0,0 +1,16 @@
+new J → ((J → C) → (A ∨ H → (A → (E ∨ A → (C ∨ J → (B ∧ J → (((B → A) → I) → I ∨ G ∧ E)))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+cases 6
+intro
+cases 6
+left
+apply 9
+intro
+cases 6
+exact 3
diff --git a/example_num_vars10_depth7/puzzle_f9dd5242aa324899.txt b/example_num_vars10_depth7/puzzle_f9dd5242aa324899.txt
new file mode 100644
index 0000000000000000000000000000000000000000..93d9521b0f394324c7803340f3e4fbb3a73ac37c
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_f9dd5242aa324899.txt
@@ -0,0 +1,13 @@
+new C ∧ D → (H → ((D → C) → ((D → I ∧ A) → (B ∨ (F ∨ (A → C))) ∨ ((D → D) ∨ (I → H)))))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+left
+right
+right
+intro
+cases 0
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_fd7ee77825c9d37d.txt b/example_num_vars10_depth7/puzzle_fd7ee77825c9d37d.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0c9a31033002bd175a1d579136f6838a1b791688
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_fd7ee77825c9d37d.txt
@@ -0,0 +1,11 @@
+new H ∧ G → (E → ((F → G) → (J ∨ I → (F ∨ C → (A → H ∨ C)))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+intro
+cases 0
+left
+exact 1
diff --git a/example_num_vars10_depth7/puzzle_ff9a47a976a8d296.txt b/example_num_vars10_depth7/puzzle_ff9a47a976a8d296.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7ae0599273f34f646091b5dae2636e994fe19849
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_ff9a47a976a8d296.txt
@@ -0,0 +1,8 @@
+new (A → D) → (J → (((D → J) ∨ E) ∨ G ∧ D → (E → E ∧ E)))
+intro
+intro
+intro
+intro
+constructor
+exact 3
+exact 3
diff --git a/example_num_vars10_depth7/puzzle_ffbd18a1f71f11f4.txt b/example_num_vars10_depth7/puzzle_ffbd18a1f71f11f4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9daf55858a0bed7971f2bd30e6f0227d4985cc78
--- /dev/null
+++ b/example_num_vars10_depth7/puzzle_ffbd18a1f71f11f4.txt
@@ -0,0 +1,11 @@
+new (G → H) → (((D → C) → C) → ((J ∨ H → H) → (H → (A → (J ∨ H → ((E → F ∧ G) → (H → H) ∨ A))))))
+intro
+intro
+intro
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+intro
+intro
+intro
+left
+intro
+exact 3
diff --git a/example_num_vars4_depth8/puzzle_0cdefd3336fe8253.txt b/example_num_vars4_depth8/puzzle_0cdefd3336fe8253.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e69ba5d3943c95b17552378c05babe5abe05450c
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_0cdefd3336fe8253.txt
@@ -0,0 +1,11 @@
+new ((B → D) → C) → (A → (D ∧ A → ((C → D) → (C → A))))
+intro
+intro
+intro
+cases 2
+cases 2
+intro
+cases 2
+intro
+cases 2
+exact 1
diff --git a/example_num_vars4_depth8/puzzle_1efda9af4f3a1f68.txt b/example_num_vars4_depth8/puzzle_1efda9af4f3a1f68.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c547c22fbc60f4d6963bd6a1fd2d2f9efadf045a
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_1efda9af4f3a1f68.txt
@@ -0,0 +1,11 @@
+new B ∧ A → (A ∨ C → ((C → B ∧ A) → (A ∨ A) ∧ B ∨ (B ∨ D) ∧ B))
+intro
+cases 0
+intro
+intro
+cases 0
+left
+constructor
+left
+exact 2
+exact 1
diff --git a/example_num_vars4_depth8/puzzle_2312fc75e893f37e.txt b/example_num_vars4_depth8/puzzle_2312fc75e893f37e.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6821998658225d7bce618b2acac7d111cf0cf7e7
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_2312fc75e893f37e.txt
@@ -0,0 +1,14 @@
+new D ∧ C → (A → ((D → C) → (D ∧ (C ∧ D)) ∧ (B ∧ D ∨ A)))
+intro
+cases 0
+intro
+intro
+cases 0
+constructor
+constructor
+exact 1
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+exact 2
+exact 1
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+exact 3
diff --git a/example_num_vars4_depth8/puzzle_25dea072e9ed4dc3.txt b/example_num_vars4_depth8/puzzle_25dea072e9ed4dc3.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9c2ec91315aedd6cf4c775587e1c71df894a0e60
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_25dea072e9ed4dc3.txt
@@ -0,0 +1,12 @@
+new (B → D) → ((A → B) → (A ∧ D → (B ∧ A → D) ∨ C))
+intro
+intro
+intro
+cases 2
+cases 2
+left
+intro
+cases 7
+cases 2
+cases 7
+exact 4
diff --git a/example_num_vars4_depth8/puzzle_26037807f933b39f.txt b/example_num_vars4_depth8/puzzle_26037807f933b39f.txt
new file mode 100644
index 0000000000000000000000000000000000000000..daa0245c9f79584899f1b51a03f0995f7a4fc52c
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_26037807f933b39f.txt
@@ -0,0 +1,12 @@
+new D → (C → ((A ∨ A) ∧ (C ∧ A) → (D ∧ B → A)))
+intro
+intro
+intro
+cases 2
+intro
+cases 5
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+cases 4
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+exact 11
diff --git a/example_num_vars4_depth8/puzzle_3bb734ceba92f589.txt b/example_num_vars4_depth8/puzzle_3bb734ceba92f589.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8a487130dba21590ee1909654e77d82112334b0a
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_3bb734ceba92f589.txt
@@ -0,0 +1,8 @@
+new D ∧ C → (D → C) ∨ (C → C)
+intro
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+left
+intro
+cases 0
+exact 2
diff --git a/example_num_vars4_depth8/puzzle_3e7cf54b000d03d1.txt b/example_num_vars4_depth8/puzzle_3e7cf54b000d03d1.txt
new file mode 100644
index 0000000000000000000000000000000000000000..22c440b2797c2dd2c90b239b434abcc2aef8a081
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_3e7cf54b000d03d1.txt
@@ -0,0 +1,12 @@
+new (B → C) → (D ∧ B → (((A → D) → B) → ((C → D) → (D → D) ∧ A ∨ ((A → B) ∨ D))))
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diff --git a/example_num_vars4_depth8/puzzle_3ed4590b66d53b48.txt b/example_num_vars4_depth8/puzzle_3ed4590b66d53b48.txt
new file mode 100644
index 0000000000000000000000000000000000000000..57059306409fac5df0a375a44d478494f7853280
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_3ed4590b66d53b48.txt
@@ -0,0 +1,5 @@
+new D → (A ∨ D) ∨ A
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+left
+right
+exact 0
diff --git a/example_num_vars4_depth8/puzzle_4351b28e3126e4af.txt b/example_num_vars4_depth8/puzzle_4351b28e3126e4af.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6fc1d4eed42625df2697ba69d855f77dacfc0e95
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_4351b28e3126e4af.txt
@@ -0,0 +1,14 @@
+new (B ∨ D → D) → (D ∧ (D → C) → ((A → B) → (C ∧ C) ∧ C))
+intro
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+constructor
+apply 3
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+exact 2
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diff --git a/example_num_vars4_depth8/puzzle_4f26f108d1f279fd.txt b/example_num_vars4_depth8/puzzle_4f26f108d1f279fd.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c89d041b1782333dde22e1c08d708c4063f529ba
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_4f26f108d1f279fd.txt
@@ -0,0 +1,5 @@
+new C ∧ D → C
+intro
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diff --git a/example_num_vars4_depth8/puzzle_67c2b929034b7a73.txt b/example_num_vars4_depth8/puzzle_67c2b929034b7a73.txt
new file mode 100644
index 0000000000000000000000000000000000000000..295ae591f0d3232fed9594fb84c7b1b6b6e8b340
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_67c2b929034b7a73.txt
@@ -0,0 +1,15 @@
+new A ∧ D → (C ∧ D → (B → ((C → A) → B ∧ (C ∧ A) ∨ C ∧ A)))
+intro
+cases 0
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+cases 3
+intro
+intro
+cases 0
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+exact 6
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+exact 4
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diff --git a/example_num_vars4_depth8/puzzle_6eadecfebefa1c96.txt b/example_num_vars4_depth8/puzzle_6eadecfebefa1c96.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ba5891d093d3240c153075a014d17b34fdeecb0b
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_6eadecfebefa1c96.txt
@@ -0,0 +1,9 @@
+new C ∧ B → (D → (B → ((B → A) → C ∨ B)))
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+cases 0
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+intro
+intro
+cases 0
+left
+exact 1
diff --git a/example_num_vars4_depth8/puzzle_7352e9da0ade1874.txt b/example_num_vars4_depth8/puzzle_7352e9da0ade1874.txt
new file mode 100644
index 0000000000000000000000000000000000000000..76d58bc8d5e0a4349918e53d984af3bd433d9c01
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_7352e9da0ade1874.txt
@@ -0,0 +1,5 @@
+new C → A ∧ A ∨ (A ∨ C)
+intro
+right
+right
+exact 0
diff --git a/example_num_vars4_depth8/puzzle_74adf417aef0443c.txt b/example_num_vars4_depth8/puzzle_74adf417aef0443c.txt
new file mode 100644
index 0000000000000000000000000000000000000000..34050c02005f7cd242790ef19b9ebf87ece34ec7
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_74adf417aef0443c.txt
@@ -0,0 +1,7 @@
+new D ∨ C → (B ∨ D ∧ C → (A → (D → C ∧ C ∨ D)))
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+intro
+intro
+intro
+right
+exact 3
diff --git a/example_num_vars4_depth8/puzzle_8b364630f49bea56.txt b/example_num_vars4_depth8/puzzle_8b364630f49bea56.txt
new file mode 100644
index 0000000000000000000000000000000000000000..101e1fa7c85b2681d1120ad5677751f15c76d0c3
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_8b364630f49bea56.txt
@@ -0,0 +1,7 @@
+new A ∧ B → ((A → B ∧ B) → ((A → C) → B))
+intro
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+intro
+cases 0
+exact 2
diff --git a/example_num_vars4_depth8/puzzle_938ba89243f9d30b.txt b/example_num_vars4_depth8/puzzle_938ba89243f9d30b.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8db94f55c179a9b2c581c46c00df55c5edcb7831
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_938ba89243f9d30b.txt
@@ -0,0 +1,11 @@
+new (D → C) → ((B → D ∧ D) → (D ∧ C → ((A → B) ∨ (C → C)) ∨ (((A → D) → C ∨ (B → C)) ∨ (D ∨ B) ∧ (B ∨ C))))
+intro
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+intro
+cases 2
+exact 4
diff --git a/example_num_vars4_depth8/puzzle_a460523dc8bdf2a6.txt b/example_num_vars4_depth8/puzzle_a460523dc8bdf2a6.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a080b2d2b6a71706cdea3181b6287a328b8be599
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_a460523dc8bdf2a6.txt
@@ -0,0 +1,1031 @@
+new A ∧ B → ((B ∨ D → C) → (B → ((D ∨ B → D) → D ∨ (D ∨ B ∧ D))))
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+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+left
+apply 5
+right
+exact 2
diff --git a/example_num_vars4_depth8/puzzle_a82f72066225f23b.txt b/example_num_vars4_depth8/puzzle_a82f72066225f23b.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8b3df23668ecb281807ca3a60bd5e61312c68d8c
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_a82f72066225f23b.txt
@@ -0,0 +1,7 @@
+new C → ((C ∨ B → C) → (D ∧ A → D))
+intro
+intro
+intro
+cases 2
+cases 2
+exact 3
diff --git a/example_num_vars4_depth8/puzzle_a9bafd627bc7d588.txt b/example_num_vars4_depth8/puzzle_a9bafd627bc7d588.txt
new file mode 100644
index 0000000000000000000000000000000000000000..03967ca63cf218150e272530338f0442cebed6b9
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_a9bafd627bc7d588.txt
@@ -0,0 +1,7 @@
+new (D → A) → (C ∧ D → ((D ∨ C → C) → D))
+intro
+intro
+cases 1
+intro
+cases 1
+exact 3
diff --git a/example_num_vars4_depth8/puzzle_ac31c96519951b6b.txt b/example_num_vars4_depth8/puzzle_ac31c96519951b6b.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8be174837ca9d7511d29578a22127efdc7a7bcf9
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_ac31c96519951b6b.txt
@@ -0,0 +1,9 @@
+new D ∧ C → ((A → C) → (D → (B → D)))
+intro
+cases 0
+intro
+intro
+cases 0
+intro
+cases 0
+exact 1
diff --git a/example_num_vars4_depth8/puzzle_baf35a599fb9c129.txt b/example_num_vars4_depth8/puzzle_baf35a599fb9c129.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a0074514b07711907ec09a4a096c85b4d094a06b
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_baf35a599fb9c129.txt
@@ -0,0 +1,7 @@
+new A → (((C → A) → C) → ((B → D) → ((B → D) → A ∨ (D ∨ (C ∨ A → C)))))
+intro
+intro
+intro
+intro
+left
+exact 0
diff --git a/example_num_vars4_depth8/puzzle_bdf59539c32b5600.txt b/example_num_vars4_depth8/puzzle_bdf59539c32b5600.txt
new file mode 100644
index 0000000000000000000000000000000000000000..97370dfa0a48124ce7a4cc443afbd5966baf10f3
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_bdf59539c32b5600.txt
@@ -0,0 +1,12 @@
+new B ∧ C → (B ∧ A → (C ∨ D → ((C → A) → (B ∨ A) ∨ A ∧ (D ∨ B))))
+intro
+cases 0
+intro
+cases 3
+intro
+intro
+cases 0
+cases 3
+left
+left
+exact 1
diff --git a/example_num_vars4_depth8/puzzle_c0a5390174dc0ecc.txt b/example_num_vars4_depth8/puzzle_c0a5390174dc0ecc.txt
new file mode 100644
index 0000000000000000000000000000000000000000..747f5728872eebe9f8bc1d9a1d6ae7671b874f67
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_c0a5390174dc0ecc.txt
@@ -0,0 +1,7 @@
+new C → (C ∧ B → A ∨ B)
+intro
+intro
+cases 1
+cases 1
+right
+exact 3
diff --git a/example_num_vars4_depth8/puzzle_c27dde28b470aab9.txt b/example_num_vars4_depth8/puzzle_c27dde28b470aab9.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7e62e69f856cdd6832e1e95336224415c1a41a7a
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_c27dde28b470aab9.txt
@@ -0,0 +1,7 @@
+new D ∧ A → (((B → D) → C) → (((D → B) → A) → A))
+intro
+cases 0
+intro
+intro
+cases 0
+exact 2
diff --git a/example_num_vars4_depth8/puzzle_c77165be526a8a1b.txt b/example_num_vars4_depth8/puzzle_c77165be526a8a1b.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8273942fee01f0e76eaf956c3c1c5026bd45e247
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_c77165be526a8a1b.txt
@@ -0,0 +1,12 @@
+new (D → B) → (B ∧ A → ((A → D) → D ∧ (D ∨ (D ∧ A) ∧ (A ∧ C))))
+intro
+intro
+cases 1
+intro
+cases 1
+constructor
+apply 4
+exact 3
+left
+apply 4
+exact 3
diff --git a/example_num_vars4_depth8/puzzle_ca2f234460c3522d.txt b/example_num_vars4_depth8/puzzle_ca2f234460c3522d.txt
new file mode 100644
index 0000000000000000000000000000000000000000..693c11fa0de59237679ca82c1a6046a15bc301fc
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_ca2f234460c3522d.txt
@@ -0,0 +1,7 @@
+new (A → B) → (((B → A) → C) → ((A ∨ C → D) → (A ∨ A ∧ A) ∧ (B ∨ C ∧ A) ∨ (C → C)))
+intro
+intro
+intro
+right
+intro
+exact 3
diff --git a/example_num_vars4_depth8/puzzle_e5e6a0b7963914ea.txt b/example_num_vars4_depth8/puzzle_e5e6a0b7963914ea.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8181f9c5043ad3b52d35d620453a52ab2773790d
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_e5e6a0b7963914ea.txt
@@ -0,0 +1,6 @@
+new (B → C) → ((A → D) → (A ∨ (A → D)) ∨ B)
+intro
+intro
+left
+right
+exact 1
diff --git a/example_num_vars4_depth8/puzzle_e83658eeb0dcb66a.txt b/example_num_vars4_depth8/puzzle_e83658eeb0dcb66a.txt
new file mode 100644
index 0000000000000000000000000000000000000000..799016f11a414021a5e24f1ab6daa090808745a7
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_e83658eeb0dcb66a.txt
@@ -0,0 +1,10 @@
+new D ∨ B → C ∨ (A ∨ (B ∨ (A ∨ D)))
+intro
+right
+right
+cases 0
+right
+right
+exact 1
+left
+exact 2
diff --git a/example_num_vars4_depth8/puzzle_eb57571c188f85f4.txt b/example_num_vars4_depth8/puzzle_eb57571c188f85f4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..32db8341d3f1c5e0ad1e618c457b0d30b2676c45
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_eb57571c188f85f4.txt
@@ -0,0 +1,9 @@
+new (C → D ∧ D) → (B → (A ∨ B → (D → B) ∧ (D ∨ B)))
+intro
+intro
+intro
+constructor
+intro
+exact 1
+right
+exact 1
diff --git a/example_num_vars4_depth8/puzzle_ef9d559b11d46175.txt b/example_num_vars4_depth8/puzzle_ef9d559b11d46175.txt
new file mode 100644
index 0000000000000000000000000000000000000000..aef7b9500c689ac912026a4727d993488bf47443
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_ef9d559b11d46175.txt
@@ -0,0 +1,7 @@
+new ((A → B) → A) → (((B → C) → A) → (B ∧ (A → C) → B))
+intro
+intro
+intro
+cases 2
+cases 2
+exact 3
diff --git a/example_num_vars4_depth8/puzzle_f72a3907d5d226a7.txt b/example_num_vars4_depth8/puzzle_f72a3907d5d226a7.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3984cadaf959b643a30caa8dd8eb0c93df01303c
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_f72a3907d5d226a7.txt
@@ -0,0 +1,15 @@
+new A ∧ D → ((D → C ∧ B) → ((B → D) → ((D → B) → ((D ∧ B ∨ A) ∨ D) ∧ A)))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+constructor
+left
+left
+constructor
+exact 2
+apply 5
+exact 2
+exact 1
diff --git a/example_num_vars4_depth8/puzzle_fd17ee66aa8f00a1.txt b/example_num_vars4_depth8/puzzle_fd17ee66aa8f00a1.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8b70a57508178f13a0e677ce1083d7eaa333c15b
--- /dev/null
+++ b/example_num_vars4_depth8/puzzle_fd17ee66aa8f00a1.txt
@@ -0,0 +1,21 @@
+new B ∧ A → (D ∧ C → (D ∨ C → D ∧ ((C → D) ∧ (C → B ∧ B))))
+intro
+cases 0
+intro
+cases 3
+intro
+cases 0
+cases 3
+constructor
+exact 4
+constructor
+intro
+cases 0
+cases 3
+exact 4
+intro
+cases 0
+cases 3
+constructor
+exact 1
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_02b66033e523c1b3.txt b/example_num_vars6_depth8/puzzle_02b66033e523c1b3.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d88e7b9cbd4eebb585846c2a3fa838167b7e3b01
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_02b66033e523c1b3.txt
@@ -0,0 +1,12 @@
+new (F → C) → (D → (((F → E) → B) → ((F → D) → (((E ∧ D) ∧ (A ∧ E) → (D ∧ E → F ∧ (E → C))) → ((A ∧ E) ∧ E → A)))))
+intro
+intro
+intro
+intro
+intro
+intro
+cases 5
+cases 5
+cases 6
+cases 8
+exact 10
diff --git a/example_num_vars6_depth8/puzzle_02ca8dbf2e3de968.txt b/example_num_vars6_depth8/puzzle_02ca8dbf2e3de968.txt
new file mode 100644
index 0000000000000000000000000000000000000000..892d8b873550a2679bb85e2201e880a5226a16ee
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_02ca8dbf2e3de968.txt
@@ -0,0 +1,20 @@
+new ((F → A) → C) → (E ∧ C → ((D → E) → (F ∧ C → ((C ∨ A → E) → (((A ∨ A → F) ∨ E) ∨ (C → (C → C)) ∧ (A ∨ (B → (E → E))) → (A ∧ (F → E) → D ∨ A))))))
+intro
+intro
+cases 1
+intro
+intro
+cases 5
+intro
+cases 1
+cases 5
+intro
+cases 1
+cases 5
+intro
+cases 18
+cases 1
+cases 5
+cases 18
+right
+exact 19
diff --git a/example_num_vars6_depth8/puzzle_07937b9ed2094059.txt b/example_num_vars6_depth8/puzzle_07937b9ed2094059.txt
new file mode 100644
index 0000000000000000000000000000000000000000..010bfc84b058954e0fc5f28804504650d7eada3d
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_07937b9ed2094059.txt
@@ -0,0 +1,23 @@
+new C ∧ F → ((A → D) → (((E → F) → F) → (A ∧ D → ((D ∨ B → D) → (E ∨ C → ((F ∧ (F ∨ C)) ∧ ((B ∨ B) ∨ (F ∨ B)) ∨ D → ((E → E) → E ∨ ((C → F) ∨ E))))))))
+intro
+cases 0
+intro
+intro
+intro
+cases 5
+intro
+intro
+cases 0
+cases 5
+intro
+cases 0
+cases 5
+intro
+cases 0
+cases 5
+right
+left
+intro
+cases 0
+cases 5
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_07e7364ab6d37c44.txt b/example_num_vars6_depth8/puzzle_07e7364ab6d37c44.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8249b68c8c1a7339936a374d2ee94138e077ef44
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_07e7364ab6d37c44.txt
@@ -0,0 +1,14 @@
+new ((A → B) → A) → (B ∧ A → ((B → E) → ((A → F) → ((D → C) → ((C → E) ∨ B) ∨ D))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+cases 1
+left
+left
+intro
+cases 1
+apply 4
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_08ffa96981433077.txt b/example_num_vars6_depth8/puzzle_08ffa96981433077.txt
new file mode 100644
index 0000000000000000000000000000000000000000..979df20f8c42478b9ccb29bed3b9ad93013e24db
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_08ffa96981433077.txt
@@ -0,0 +1,10 @@
+new B → (D → ((E ∨ A → A) → (C → (B → (F → E) ∨ ((A ∨ B) ∨ C)))))
+intro
+intro
+intro
+intro
+intro
+right
+left
+right
+exact 0
diff --git a/example_num_vars6_depth8/puzzle_0a6a536ac51aa253.txt b/example_num_vars6_depth8/puzzle_0a6a536ac51aa253.txt
new file mode 100644
index 0000000000000000000000000000000000000000..39a091168d80b5dfd89e6eb7eec0fff98e63bc5a
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_0a6a536ac51aa253.txt
@@ -0,0 +1,11 @@
+new (D → E) → (E ∧ C ∨ ((B ∨ B) ∨ C) → (B ∧ D → (((A → C) → F) → D ∧ E)))
+intro
+intro
+intro
+cases 2
+intro
+cases 2
+constructor
+exact 4
+apply 0
+exact 4
diff --git a/example_num_vars6_depth8/puzzle_0be716e5e59fb103.txt b/example_num_vars6_depth8/puzzle_0be716e5e59fb103.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1e2d091d0c576382bf0d838da990718a2afb611d
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_0be716e5e59fb103.txt
@@ -0,0 +1,8 @@
+new F → ((E → B ∧ D) → (((D → A) → A) → (C → (B → F ∨ ((D ∨ A) ∨ F ∧ B)))))
+intro
+intro
+intro
+intro
+intro
+left
+exact 0
diff --git a/example_num_vars6_depth8/puzzle_0c2c764d67b7a3c9.txt b/example_num_vars6_depth8/puzzle_0c2c764d67b7a3c9.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2c1ad5f4c6d0bcdac9dd300da81eb8250f9ef66b
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_0c2c764d67b7a3c9.txt
@@ -0,0 +1,11 @@
+new (E → D ∧ A) → (F ∧ E → (A → (E → ((F → E) ∨ B ∧ D → E) ∨ (A ∨ A ∧ C))))
+intro
+intro
+cases 1
+intro
+intro
+cases 1
+left
+intro
+cases 1
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_0e898e4eb2664e6e.txt b/example_num_vars6_depth8/puzzle_0e898e4eb2664e6e.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9ca26a9cd94f302b540fa13d4326f48cd8144cae
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_0e898e4eb2664e6e.txt
@@ -0,0 +1,5 @@
+new C → (B → D ∨ B)
+intro
+intro
+right
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_10ebc82bf52757fa.txt b/example_num_vars6_depth8/puzzle_10ebc82bf52757fa.txt
new file mode 100644
index 0000000000000000000000000000000000000000..39d02c5db1d6a5ad7284aecf132498f6522672d6
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_10ebc82bf52757fa.txt
@@ -0,0 +1,7 @@
+new D → (((C → D) → E) → ((A ∨ C → B) → (B ∨ D) ∨ C))
+intro
+intro
+intro
+left
+right
+exact 0
diff --git a/example_num_vars6_depth8/puzzle_12f8dca2742164ab.txt b/example_num_vars6_depth8/puzzle_12f8dca2742164ab.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0d3c36c078953207b81a7dbe6545e4840abcaf6b
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_12f8dca2742164ab.txt
@@ -0,0 +1,15 @@
+new (D → A ∧ A) → (E ∧ B → (B ∧ C → (C ∧ E → ((E ∨ D → A) → (C → (B → A ∧ D) ∨ B)))))
+intro
+intro
+cases 1
+intro
+cases 4
+intro
+cases 7
+intro
+intro
+cases 1
+cases 4
+cases 7
+right
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_1674d261eb101f49.txt b/example_num_vars6_depth8/puzzle_1674d261eb101f49.txt
new file mode 100644
index 0000000000000000000000000000000000000000..379183ea0fde32e6f5487b211bd0331d701033ab
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_1674d261eb101f49.txt
@@ -0,0 +1,11 @@
+new ((F → B) → B) → (E ∧ A → (A ∨ C → (C → (((C → F) → A) → ((B → E) → E ∧ A ∨ (A → A))))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+intro
+cases 1
+left
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_1b9f9a791ac89c4b.txt b/example_num_vars6_depth8/puzzle_1b9f9a791ac89c4b.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2c685cf5e8db7fd31e39d476ae0a2845c92b8f4d
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_1b9f9a791ac89c4b.txt
@@ -0,0 +1,11 @@
+new F → (D → ((F → B) → (F ∧ A → (C → C) ∨ ((E ∨ D → B) → (F ∨ F → C)))))
+intro
+intro
+intro
+intro
+cases 3
+cases 3
+left
+intro
+cases 3
+exact 8
diff --git a/example_num_vars6_depth8/puzzle_1de4525d6780eb11.txt b/example_num_vars6_depth8/puzzle_1de4525d6780eb11.txt
new file mode 100644
index 0000000000000000000000000000000000000000..16f7e8c8dea891774c489d9fa13252613443e1f7
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_1de4525d6780eb11.txt
@@ -0,0 +1,15 @@
+new (F → E) → (A ∧ F → (C → ((A → B ∧ E) → ((D ∨ C → E) → ((E ∨ B) ∨ B) ∧ E))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+cases 1
+constructor
+left
+left
+apply 0
+exact 3
+apply 0
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_1fbad8f6091458e8.txt b/example_num_vars6_depth8/puzzle_1fbad8f6091458e8.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f278ed0c18452c513b972c184482e74a48069e90
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_1fbad8f6091458e8.txt
@@ -0,0 +1,17 @@
+new E ∧ C → (((F → B) → E) → (F → (D → (A ∧ (A → E) → (B ∧ A) ∧ C) ∧ B ∨ (A → F) ∧ ((E ∧ C) ∧ (F → F)))))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+right
+constructor
+intro
+cases 0
+exact 4
+constructor
+exact 0
+intro
+cases 0
+exact 4
diff --git a/example_num_vars6_depth8/puzzle_2284560f2838be86.txt b/example_num_vars6_depth8/puzzle_2284560f2838be86.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a8ad427e00b4c4befa67a685715fd533eb2cda49
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_2284560f2838be86.txt
@@ -0,0 +1,14 @@
+new A ∧ D → ((C → E ∧ F) → (C → ((B → E ∧ C) → (((E → C) → E) → ((B ∨ E) ∧ ((D ∨ B) ∨ D) ∨ ((F ∨ F) ∨ B ∧ D) → (F ∧ (F ∨ (D ∨ A)) ∨ ((D ∨ A) ∧ F ∨ D)) ∨ A)))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+cases 0
+intro
+cases 0
+left
+right
+right
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_28d6f09692e912ee.txt b/example_num_vars6_depth8/puzzle_28d6f09692e912ee.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d95f812eb1884b0dbb3e3d95bd7d16534e60ee76
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_28d6f09692e912ee.txt
@@ -0,0 +1,9 @@
+new E ∧ C → ((D → C) → (((C → E) → D) → ((C → E) → ((E → D) → E))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+cases 0
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_2a951d892ae77c35.txt b/example_num_vars6_depth8/puzzle_2a951d892ae77c35.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e6bd160249f4244c8679f23bfd41a98743013e93
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_2a951d892ae77c35.txt
@@ -0,0 +1,13 @@
+new B ∧ E → ((A → C) → (D ∧ F → (E ∧ C → (((D → E) → C) → D))))
+intro
+cases 0
+intro
+intro
+cases 4
+intro
+cases 7
+intro
+cases 0
+cases 4
+cases 7
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_2b76cdae841a4567.txt b/example_num_vars6_depth8/puzzle_2b76cdae841a4567.txt
new file mode 100644
index 0000000000000000000000000000000000000000..50d0953a443dab49cb0328e5c8b392696c392b94
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_2b76cdae841a4567.txt
@@ -0,0 +1,13 @@
+new A → ((F ∨ B → E) → (D → (((F → A) → B) → B ∧ B ∨ A)))
+intro
+intro
+intro
+intro
+left
+constructor
+apply 3
+intro
+exact 0
+apply 3
+intro
+exact 0
diff --git a/example_num_vars6_depth8/puzzle_2cc3fbdef68cbd33.txt b/example_num_vars6_depth8/puzzle_2cc3fbdef68cbd33.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4644b5b6fb3f38b6fe1bb2ab2ca07132307c124c
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_2cc3fbdef68cbd33.txt
@@ -0,0 +1,12 @@
+new (B → F ∧ E) → (E ∧ C → (B ∨ F → F ∨ (B ∨ B)))
+intro
+intro
+cases 1
+intro
+cases 1
+cases 4
+right
+left
+exact 7
+left
+exact 8
diff --git a/example_num_vars6_depth8/puzzle_2db82f08069d78ae.txt b/example_num_vars6_depth8/puzzle_2db82f08069d78ae.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4873a485b4b84059c283eb20b0d8cf383086862e
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_2db82f08069d78ae.txt
@@ -0,0 +1,5 @@
+new F ∧ C → F
+intro
+cases 0
+cases 0
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_324504a3f09706c5.txt b/example_num_vars6_depth8/puzzle_324504a3f09706c5.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e570848c71b67867ddc9c11c18be339b8dfc27dc
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_324504a3f09706c5.txt
@@ -0,0 +1,9 @@
+new (A → B ∧ C) → ((F → A) → (E ∧ A → (((C → A) → C) → A)))
+intro
+intro
+intro
+cases 2
+cases 2
+intro
+cases 2
+exact 4
diff --git a/example_num_vars6_depth8/puzzle_327b829a3bcf1d9a.txt b/example_num_vars6_depth8/puzzle_327b829a3bcf1d9a.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7d6166830acfcbd4e81bc0953b1828342a4fd3f8
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_327b829a3bcf1d9a.txt
@@ -0,0 +1,16 @@
+new D ∧ C → (((D → B) → A) → ((D → A) → (((F → C) → D) → (D ∨ A → (A ∧ B → E ∨ (D ∧ B ∨ (D ∨ C)))))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+intro
+cases 7
+cases 0
+cases 7
+right
+left
+constructor
+exact 1
+exact 9
diff --git a/example_num_vars6_depth8/puzzle_36a1828d29817aa8.txt b/example_num_vars6_depth8/puzzle_36a1828d29817aa8.txt
new file mode 100644
index 0000000000000000000000000000000000000000..30f4babd680c9641d3fb8d1547f1b7e0a3bd7aea
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_36a1828d29817aa8.txt
@@ -0,0 +1,10 @@
+new ((C → E) → E) → (D ∧ F → ((F → A) → (C → ((D → A ∧ B) → A))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+cases 1
+apply 4
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_386411371145f341.txt b/example_num_vars6_depth8/puzzle_386411371145f341.txt
new file mode 100644
index 0000000000000000000000000000000000000000..44698a06a3bc17a9f20466affcf1f979eddc4794
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_386411371145f341.txt
@@ -0,0 +1,9 @@
+new ((F → D) → B) → (((A → F) → A) → ((A → F) → B ∧ D ∨ ((((D → C) ∨ F) ∧ E ∨ (E → D ∧ C)) ∨ (A ∨ (C ∨ D)))))
+intro
+intro
+intro
+right
+right
+left
+apply 1
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_3affd44b1d0170c7.txt b/example_num_vars6_depth8/puzzle_3affd44b1d0170c7.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e5cea87f01cfd095d758ee1a78c74e84b2e2a944
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_3affd44b1d0170c7.txt
@@ -0,0 +1,10 @@
+new (B → F) → ((F → A) → (E ∧ B → (D → ((A → D ∧ B) → D ∨ (D ∧ E → A)))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+cases 2
+left
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_3c1090db2703ab17.txt b/example_num_vars6_depth8/puzzle_3c1090db2703ab17.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ea2fe00779a20234df6656a100f8336521176c8f
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_3c1090db2703ab17.txt
@@ -0,0 +1,11 @@
+new (C ∨ F → F) → (B → (F ∧ E → (((A → C) → D) → (C ∨ A → (F → (F ∨ A) ∧ C ∨ E)))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+intro
+cases 2
+right
+exact 4
diff --git a/example_num_vars6_depth8/puzzle_3e9adcbd787befbd.txt b/example_num_vars6_depth8/puzzle_3e9adcbd787befbd.txt
new file mode 100644
index 0000000000000000000000000000000000000000..53c4218c11758ebf1a556e585058f37cae3abc2f
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_3e9adcbd787befbd.txt
@@ -0,0 +1,10 @@
+new D ∧ B → (D ∨ F → (((F → D) → F) → F))
+intro
+cases 0
+intro
+intro
+cases 0
+apply 4
+intro
+cases 0
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_3ec69a5a8ada2b6b.txt b/example_num_vars6_depth8/puzzle_3ec69a5a8ada2b6b.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fd606c434edb3a4d63d7a043024cd740ef632064
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_3ec69a5a8ada2b6b.txt
@@ -0,0 +1,13 @@
+new D → (A ∨ F → ((F → E) → (((D → C) → A) → (B → ((E → B) → (D ∧ (C → C) ∨ E) ∨ (D ∨ B))))))
+intro
+intro
+intro
+intro
+intro
+intro
+left
+left
+constructor
+exact 0
+intro
+exact 6
diff --git a/example_num_vars6_depth8/puzzle_41806297b6f2a2c2.txt b/example_num_vars6_depth8/puzzle_41806297b6f2a2c2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5da8e2a6412d504f0e12ddf5e42cbc0a61afb62d
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_41806297b6f2a2c2.txt
@@ -0,0 +1,14 @@
+new A ∧ D → ((F ∨ D → A) → ((B → A) → ((F → F ∨ B) → ((A → E) → (A ∧ C → A ∧ F ∨ E)))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+intro
+cases 7
+cases 0
+cases 7
+right
+apply 6
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_43e61981ffc10bfe.txt b/example_num_vars6_depth8/puzzle_43e61981ffc10bfe.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6d4987a60c2ffdf148b07864feac1b0bcd491e80
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_43e61981ffc10bfe.txt
@@ -0,0 +1,36 @@
+new F ∨ B → (((E → C) → D) → (((C → E) ∧ C) ∧ E → (C → (A ∧ E → ((B ∨ F) ∧ D) ∧ (D → (D ∨ A) ∨ B ∧ E)))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+cases 6
+cases 2
+cases 3
+cases 6
+cases 9
+constructor
+constructor
+cases 0
+right
+exact 17
+left
+exact 18
+apply 1
+intro
+cases 2
+cases 3
+cases 6
+cases 9
+cases 20
+exact 5
+intro
+cases 2
+cases 3
+cases 6
+cases 9
+cases 31
+left
+left
+exact 30
diff --git a/example_num_vars6_depth8/puzzle_4a368f5f678abd86.txt b/example_num_vars6_depth8/puzzle_4a368f5f678abd86.txt
new file mode 100644
index 0000000000000000000000000000000000000000..81f978e14d71f8e42df3171a53bf2aadee101d63
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_4a368f5f678abd86.txt
@@ -0,0 +1,8 @@
+new (C → A) → (F → ((B → D ∧ C) → ((A ∨ F) ∨ (B ∧ F → (A → A))) ∨ ((E ∨ (D → C)) ∨ (A ∨ (E ∨ A)))))
+intro
+intro
+intro
+left
+left
+right
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_4bfc8076d3c9f9b4.txt b/example_num_vars6_depth8/puzzle_4bfc8076d3c9f9b4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9256fee955007c2a5de0e863507e40d682ac4399
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_4bfc8076d3c9f9b4.txt
@@ -0,0 +1,13 @@
+new (B → E ∧ D) → (E ∧ B → (B → ((D → F) → (((C ∧ B → C ∧ D) → E ∧ C ∨ (F → B)) → ((B ∨ E) ∨ (B → E)) ∨ (C ∨ C)))))
+intro
+intro
+cases 1
+intro
+intro
+cases 1
+intro
+cases 1
+left
+left
+left
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_4c87c3c9e84d7456.txt b/example_num_vars6_depth8/puzzle_4c87c3c9e84d7456.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9bd2d23487d1e2e85e5328dab516e342ba9250e9
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_4c87c3c9e84d7456.txt
@@ -0,0 +1,14 @@
+new F ∨ D → ((F ∨ A → C) → (B ∧ E → (((A ∨ A) ∨ E) ∨ F → (C → (A ∧ B → B ∧ C)))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+intro
+cases 7
+cases 2
+cases 7
+constructor
+exact 3
+exact 6
diff --git a/example_num_vars6_depth8/puzzle_4e5b1690c9da60d7.txt b/example_num_vars6_depth8/puzzle_4e5b1690c9da60d7.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ed9f0c08826addc8ffd2ace73238c8024b102bcf
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_4e5b1690c9da60d7.txt
@@ -0,0 +1,7 @@
+new E → (C ∧ D → D) ∨ B
+intro
+left
+intro
+cases 1
+cases 1
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_52700aeeb45c9b47.txt b/example_num_vars6_depth8/puzzle_52700aeeb45c9b47.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fb89229d065879e9ceba2df83877456957fe25ce
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_52700aeeb45c9b47.txt
@@ -0,0 +1,19 @@
+new (B → D ∧ B) → (F → ((A → B ∧ B) → (B ∧ C → (E ∧ D → ((E ∧ C) ∧ B → F ∨ F)))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+cases 6
+cases 3
+cases 6
+intro
+cases 13
+cases 3
+cases 6
+cases 13
+cases 14
+cases 20
+left
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_554b2f2358f5149b.txt b/example_num_vars6_depth8/puzzle_554b2f2358f5149b.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0aea706a67010dd86ad9880a38282eb989f88103
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_554b2f2358f5149b.txt
@@ -0,0 +1,5 @@
+new (E ∨ C → A) → (D → (F → F))
+intro
+intro
+intro
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_55f6c41dc885fe4e.txt b/example_num_vars6_depth8/puzzle_55f6c41dc885fe4e.txt
new file mode 100644
index 0000000000000000000000000000000000000000..eba7c636ab963e88165fb02538f825b10a96a659
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_55f6c41dc885fe4e.txt
@@ -0,0 +1,7 @@
+new ((D → F) → F) → (B ∧ A → ((F ∨ E → C) → B))
+intro
+intro
+cases 1
+intro
+cases 1
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_5a461ed363125b22.txt b/example_num_vars6_depth8/puzzle_5a461ed363125b22.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f51faf326e6061a4b694088b77bcba366bf33f31
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_5a461ed363125b22.txt
@@ -0,0 +1,12 @@
+new (B → E) → (C ∨ A → (((F → D) → B) → ((A ∨ E → E) → (((B → E) → F) → B ∨ (D → B ∨ (A ∨ F) ∧ F)))))
+intro
+intro
+intro
+intro
+intro
+right
+intro
+left
+apply 2
+intro
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_5c308cd447cc645d.txt b/example_num_vars6_depth8/puzzle_5c308cd447cc645d.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4b9b8b55606950cea169b116728644c0be7bc4f5
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_5c308cd447cc645d.txt
@@ -0,0 +1,13 @@
+new D ∧ E → ((D → F) → (F → C ∨ ((D → D) ∧ D ∨ C)))
+intro
+cases 0
+intro
+intro
+cases 0
+right
+left
+constructor
+intro
+cases 0
+exact 1
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_5c8f33c098165d41.txt b/example_num_vars6_depth8/puzzle_5c8f33c098165d41.txt
new file mode 100644
index 0000000000000000000000000000000000000000..eb2e8b96d3503d48e78366b4a9162cb66c2b56ab
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_5c8f33c098165d41.txt
@@ -0,0 +1,17 @@
+new (A ∨ D → B) → (C ∧ A → ((C → B) → ((E ∨ F → C) → (F → (A ∨ D → (E → C) ∧ ((D → C) ∨ (B ∨ A)))))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+intro
+cases 1
+constructor
+intro
+cases 1
+exact 2
+left
+intro
+cases 1
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_5ebc5557c8139506.txt b/example_num_vars6_depth8/puzzle_5ebc5557c8139506.txt
new file mode 100644
index 0000000000000000000000000000000000000000..878137accc0a3e199cd3fd9fbc7fef573288f9d9
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_5ebc5557c8139506.txt
@@ -0,0 +1,8 @@
+new (A ∨ E → B) → (F → ((E → C) → (A → B)))
+intro
+intro
+intro
+intro
+apply 0
+left
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_6064750a6a7e0817.txt b/example_num_vars6_depth8/puzzle_6064750a6a7e0817.txt
new file mode 100644
index 0000000000000000000000000000000000000000..25f4764faec7732a09e2ac346b1042a5819c4bc9
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_6064750a6a7e0817.txt
@@ -0,0 +1,11 @@
+new A → ((B → D ∧ C) → ((A ∨ (B ∨ F)) ∨ A) ∧ (D ∨ (B ∨ (E ∨ A))))
+intro
+intro
+constructor
+left
+left
+exact 0
+right
+right
+right
+exact 0
diff --git a/example_num_vars6_depth8/puzzle_609c62b7d92704f4.txt b/example_num_vars6_depth8/puzzle_609c62b7d92704f4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f0158ba78fd3588133d9bc81c4e8f599a99d8d4a
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_609c62b7d92704f4.txt
@@ -0,0 +1,18 @@
+new A ∨ B → (B ∧ D → (B ∨ E → (E ∧ D → (F ∨ B → B ∧ B) ∧ D ∨ (C ∧ D) ∧ B)))
+intro
+intro
+cases 1
+intro
+intro
+cases 5
+cases 1
+cases 5
+left
+constructor
+intro
+cases 1
+cases 5
+constructor
+exact 2
+exact 2
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_6167fdd9092f26cc.txt b/example_num_vars6_depth8/puzzle_6167fdd9092f26cc.txt
new file mode 100644
index 0000000000000000000000000000000000000000..997f64e52000e78779fe539ff94efbc41d918cde
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_6167fdd9092f26cc.txt
@@ -0,0 +1,10 @@
+new E ∧ D → (((E → B) → E) → ((F ∧ F → (E → B)) → ((A ∨ D) ∨ C) ∨ (F ∧ D ∨ F → D ∨ (D → A))))
+intro
+cases 0
+intro
+intro
+cases 0
+left
+left
+right
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_6ac7ff3f78036f3a.txt b/example_num_vars6_depth8/puzzle_6ac7ff3f78036f3a.txt
new file mode 100644
index 0000000000000000000000000000000000000000..14be2220ec3bae2251ab8e5b9dd101d8e57a42b9
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_6ac7ff3f78036f3a.txt
@@ -0,0 +1,21 @@
+new D ∧ F → ((F ∨ D → A) → (C ∧ E → (((F → E) → E) → ((E → F ∧ B) → (E ∧ F → (C ∨ E ∧ F) ∧ A)))))
+intro
+cases 0
+intro
+intro
+cases 4
+intro
+intro
+cases 0
+cases 4
+intro
+cases 13
+cases 0
+cases 4
+cases 13
+constructor
+left
+exact 5
+apply 3
+left
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_6ddead63cbfc8142.txt b/example_num_vars6_depth8/puzzle_6ddead63cbfc8142.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ee78f9a778a7db8b8fb3161c032f2e2c940f18e5
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_6ddead63cbfc8142.txt
@@ -0,0 +1,10 @@
+new F → (D ∨ D ∧ F → ((C ∨ F → E) → (((E → F) → A) → (F ∧ D ∨ (A → (B → B))) ∨ ((A → D) ∨ D))))
+intro
+intro
+intro
+intro
+left
+right
+intro
+intro
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_6ee91cacaa4c9cf1.txt b/example_num_vars6_depth8/puzzle_6ee91cacaa4c9cf1.txt
new file mode 100644
index 0000000000000000000000000000000000000000..31cd37c8ed89fc68ba0e4969b61f0d12e78ef6f9
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_6ee91cacaa4c9cf1.txt
@@ -0,0 +1,1035 @@
+new (E → A) ∨ (E ∨ A) → (F → ((C ∨ B → C) → (B ∧ F → (A ∧ F → (A ∨ D → C ∨ ((A ∨ D) ∨ C))))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+cases 6
+cases 3
+cases 6
+intro
+cases 3
+cases 6
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
+apply 2
+left
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diff --git a/example_num_vars6_depth8/puzzle_72a5eedbc53c1794.txt b/example_num_vars6_depth8/puzzle_72a5eedbc53c1794.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bb08d0d8264067232eec510d5cbeff566951d03f
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_72a5eedbc53c1794.txt
@@ -0,0 +1,9 @@
+new (C ∨ D → C) → (A → (D → (B → (F ∨ B → (D ∨ B) ∨ (D ∨ D)))))
+intro
+intro
+intro
+intro
+intro
+left
+left
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_76e3ead89faad407.txt b/example_num_vars6_depth8/puzzle_76e3ead89faad407.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b2f6e5217b1914dff700627151301ef6fd2c01f7
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_76e3ead89faad407.txt
@@ -0,0 +1,9 @@
+new C ∨ B → (B → (F → ((B ∨ (C ∨ E)) ∨ B → (D ∧ D ∨ (E → F)) ∨ E)))
+intro
+intro
+intro
+intro
+left
+right
+intro
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_7e361bd044cc8885.txt b/example_num_vars6_depth8/puzzle_7e361bd044cc8885.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7c5c27d54bf44a0968292a19c6098d39ed28bddc
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_7e361bd044cc8885.txt
@@ -0,0 +1,8 @@
+new E → (((D → C) → E) → ((B ∨ A → B) → (C → (((F ∨ A) ∨ (F ∨ E) ∧ D) ∨ (C → D) → E ∨ ((F → B ∨ (F → C)) → ((B ∨ D) ∨ (A → A)) ∧ ((D ∨ B) ∨ D))))))
+intro
+intro
+intro
+intro
+intro
+left
+exact 0
diff --git a/example_num_vars6_depth8/puzzle_822c693e5107bde2.txt b/example_num_vars6_depth8/puzzle_822c693e5107bde2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..efb78c418285a9647ede9b7b8c76f813ab89f1a5
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_822c693e5107bde2.txt
@@ -0,0 +1,9 @@
+new F → ((D → B) → (E ∨ D → (((D → F) → D) → (E → (D → B)))))
+intro
+intro
+intro
+intro
+intro
+intro
+apply 1
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_857ce22b482ee962.txt b/example_num_vars6_depth8/puzzle_857ce22b482ee962.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0643ecbfbf6ef10127ac2a5feef6a938263b66d4
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_857ce22b482ee962.txt
@@ -0,0 +1,11 @@
+new (D ∨ E → B) → (A ∧ E → A ∧ (C → C) ∨ (F ∨ E))
+intro
+intro
+cases 1
+cases 1
+left
+constructor
+exact 2
+intro
+cases 1
+exact 6
diff --git a/example_num_vars6_depth8/puzzle_8672abed54f45466.txt b/example_num_vars6_depth8/puzzle_8672abed54f45466.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8378d9bfe90010c15d751b9eb8fa54e2e987ec53
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_8672abed54f45466.txt
@@ -0,0 +1,15 @@
+new D → (F ∧ B → (E → (B ∧ A → (A ∨ C → (F → A ∨ F ∧ F)))))
+intro
+intro
+cases 1
+intro
+intro
+cases 5
+intro
+cases 1
+cases 5
+intro
+cases 1
+cases 5
+left
+exact 7
diff --git a/example_num_vars6_depth8/puzzle_87845e65a916e41d.txt b/example_num_vars6_depth8/puzzle_87845e65a916e41d.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7e68e67ff714e450eaa96af88874b30157380a70
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_87845e65a916e41d.txt
@@ -0,0 +1,10 @@
+new ((C → E) → B) → (((A → C) → F) → (B ∨ D → ((C → A ∨ C) → (F → E ∨ E)) ∨ (E → B ∨ F)))
+intro
+intro
+intro
+right
+intro
+left
+apply 0
+intro
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_8d83c62e23a0fc8c.txt b/example_num_vars6_depth8/puzzle_8d83c62e23a0fc8c.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5c691d4725c2e095b9b6b2c6d646e12c70ffb718
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_8d83c62e23a0fc8c.txt
@@ -0,0 +1,8 @@
+new ((A → F) → D) → ((F → A) → (D ∨ A → (F ∧ C → F)))
+intro
+intro
+intro
+intro
+cases 3
+cases 3
+exact 4
diff --git a/example_num_vars6_depth8/puzzle_8f03877409c63826.txt b/example_num_vars6_depth8/puzzle_8f03877409c63826.txt
new file mode 100644
index 0000000000000000000000000000000000000000..24740f5a2c4a70764c78c9b9a5ccee12ea887178
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_8f03877409c63826.txt
@@ -0,0 +1,21 @@
+new C ∨ F → (F → ((E → B) ∧ E ∨ D → (A ∧ E → (F ∧ A → (F → ((F ∨ F → A) → (B → B) ∨ C))))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+cases 6
+cases 3
+cases 6
+intro
+cases 3
+cases 6
+intro
+cases 3
+cases 6
+left
+intro
+cases 3
+cases 6
+exact 23
diff --git a/example_num_vars6_depth8/puzzle_904ffa4d94fa05c6.txt b/example_num_vars6_depth8/puzzle_904ffa4d94fa05c6.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2a8aa4309911e061a7f2b6c7cd192a911e8ee042
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_904ffa4d94fa05c6.txt
@@ -0,0 +1,12 @@
+new F ∨ D → ((E → C) → ((B → (D → B)) → (B → ((A → C) → ((F → B ∧ C) → (A ∨ ((B → B) ∨ ((C → C) ∧ C → C))) ∨ (E → B ∧ C))))))
+intro
+intro
+intro
+intro
+intro
+intro
+left
+right
+left
+intro
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_90c2cfca7d6d01ac.txt b/example_num_vars6_depth8/puzzle_90c2cfca7d6d01ac.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8c4c5849367af7aca0cd16e34fc5fde7e9faa3f5
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_90c2cfca7d6d01ac.txt
@@ -0,0 +1,15 @@
+new D ∧ A → ((E → C) → (((A → E) → E) → (F ∧ A → (((E → F) → B) → ((B ∨ E → F) → ((F ∨ D) ∨ A) ∨ ((A ∧ C → C) ∨ (F ∨ D → C ∧ E)))))))
+intro
+cases 0
+intro
+intro
+intro
+cases 5
+intro
+intro
+cases 0
+cases 5
+left
+left
+left
+exact 6
diff --git a/example_num_vars6_depth8/puzzle_91fb9fb39a7e615f.txt b/example_num_vars6_depth8/puzzle_91fb9fb39a7e615f.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8c9d9673e48db01c44c27e8a9fc8483c7159e30c
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_91fb9fb39a7e615f.txt
@@ -0,0 +1,24 @@
+new (E → F) → (D ∧ E → (A ∧ E → ((C → B) → (F ∧ D → (((C ∨ A → A) → E ∨ D) ∨ F ∧ (F ∧ F)) ∧ (C ∨ ((E ∨ D ∧ E) ∨ ((D → (D → A)) ∨ (F ∨ A))))))))
+intro
+intro
+cases 1
+intro
+cases 4
+intro
+intro
+cases 8
+cases 1
+cases 4
+cases 8
+constructor
+left
+intro
+cases 1
+cases 4
+cases 8
+left
+exact 3
+right
+left
+left
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_92c910334e4b1f82.txt b/example_num_vars6_depth8/puzzle_92c910334e4b1f82.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7d008a9d6e0bd06f1c8c54b74cfafa251af0472a
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_92c910334e4b1f82.txt
@@ -0,0 +1,16 @@
+new ((C → F) → B) → (E → (D → (A ∨ D → ((A → C) → (((A → C) → B) → (((B ∨ E) ∧ (C ∨ D) ∨ C) ∨ C) ∨ C)))))
+intro
+intro
+intro
+intro
+intro
+intro
+left
+left
+left
+constructor
+left
+apply 5
+exact 4
+right
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_93075e37a1b07811.txt b/example_num_vars6_depth8/puzzle_93075e37a1b07811.txt
new file mode 100644
index 0000000000000000000000000000000000000000..aec6da31c288b5cf7ebe1dc60b31aaecf0db35d0
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_93075e37a1b07811.txt
@@ -0,0 +1,16 @@
+new ((F → C) → F) → (B ∧ D → ((B → F ∧ C) → (D ∧ C → (A ∧ B → E ∨ D))))
+intro
+intro
+cases 1
+intro
+intro
+cases 5
+cases 1
+cases 5
+intro
+cases 12
+cases 1
+cases 5
+cases 12
+right
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_97af73e089eaae79.txt b/example_num_vars6_depth8/puzzle_97af73e089eaae79.txt
new file mode 100644
index 0000000000000000000000000000000000000000..74fe63276be4f98e8f5ee476a564b07e56140b27
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_97af73e089eaae79.txt
@@ -0,0 +1,12 @@
+new A → ((D → F) → (D ∧ A → ((F → E) → (A → E))))
+intro
+intro
+intro
+cases 2
+intro
+cases 2
+intro
+cases 2
+apply 5
+apply 1
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_998e3a31d37937a7.txt b/example_num_vars6_depth8/puzzle_998e3a31d37937a7.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a4613c4bb2592eb552bf6ee665845abdf4b550aa
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_998e3a31d37937a7.txt
@@ -0,0 +1,22 @@
+new (E → D ∧ E) → (((E → C) → B) → (F ∧ C → (((C → E) → A) → (B ∧ A → (E → (F → A ∨ (A ∨ A))) ∧ (F ∨ A) ∨ (E ∨ E) ∧ (D ∧ (D ∧ (E → D)))))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+cases 6
+cases 2
+cases 6
+left
+constructor
+intro
+cases 2
+cases 6
+intro
+cases 2
+cases 6
+left
+exact 8
+left
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_9e2bc0fe49855a49.txt b/example_num_vars6_depth8/puzzle_9e2bc0fe49855a49.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6cada7d649b71ea7e501d1c36864a189462ec7c2
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_9e2bc0fe49855a49.txt
@@ -0,0 +1,9 @@
+new C ∨ E → ((C → B) ∧ C → (C → ((B → E ∧ A) → B)))
+intro
+intro
+cases 1
+intro
+intro
+cases 1
+apply 2
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_9e569a9d44d374a7.txt b/example_num_vars6_depth8/puzzle_9e569a9d44d374a7.txt
new file mode 100644
index 0000000000000000000000000000000000000000..06a009e17631c8cc505ddf1f3ada91b2f20a490d
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_9e569a9d44d374a7.txt
@@ -0,0 +1,20 @@
+new B ∨ D → (F ∧ D → ((B → D ∧ F) → ((E → A) → (C ∧ A → (C ∧ F → ((E ∨ F) ∧ A) ∧ (F ∨ (E ∨ (C ∨ E) ∧ C)))))))
+intro
+intro
+cases 1
+intro
+intro
+intro
+cases 6
+intro
+cases 9
+cases 1
+cases 6
+cases 9
+constructor
+constructor
+right
+exact 2
+exact 8
+left
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_a0ed6bccd4a4c399.txt b/example_num_vars6_depth8/puzzle_a0ed6bccd4a4c399.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7c1f77e53c33dc4cbfdbc07190db1c3e78b44d5f
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_a0ed6bccd4a4c399.txt
@@ -0,0 +1,9 @@
+new (F → C) → (B ∨ C → (E ∨ (D → E) → ((C ∨ F → C) → (F ∧ E → F))))
+intro
+intro
+intro
+intro
+intro
+cases 4
+cases 4
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_a17b3089fc1f6af3.txt b/example_num_vars6_depth8/puzzle_a17b3089fc1f6af3.txt
new file mode 100644
index 0000000000000000000000000000000000000000..65eeaa4b4578539ca484ea1b53fcb670561e82fc
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_a17b3089fc1f6af3.txt
@@ -0,0 +1,7 @@
+new B ∧ F → (((C → B) → C) → ((E → C) → B))
+intro
+cases 0
+intro
+intro
+cases 0
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_a557d2cfd6301bde.txt b/example_num_vars6_depth8/puzzle_a557d2cfd6301bde.txt
new file mode 100644
index 0000000000000000000000000000000000000000..eaf0e017e3df600bd3a198be53f0033a3bff99ee
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_a557d2cfd6301bde.txt
@@ -0,0 +1,9 @@
+new (F ∨ E → D) → ((B ∨ A → A) → ((D → D) ∧ F → A ∨ F) ∨ (F ∨ E → F ∨ (E ∨ F)) ∧ (B ∨ C))
+intro
+intro
+left
+intro
+cases 2
+cases 2
+right
+exact 4
diff --git a/example_num_vars6_depth8/puzzle_adb493d54e70fd72.txt b/example_num_vars6_depth8/puzzle_adb493d54e70fd72.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d388517ef7afd1528353a363e762eaa74ad30aac
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_adb493d54e70fd72.txt
@@ -0,0 +1,24 @@
+new D → (((A → E) → C) → ((F → E) → (F ∧ E → ((B ∧ D) ∧ D → (B → ((D → E) ∧ E) ∧ B)))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+cases 6
+intro
+cases 3
+cases 6
+cases 7
+cases 12
+constructor
+constructor
+intro
+cases 3
+cases 6
+cases 7
+cases 12
+cases 21
+exact 5
+exact 5
+exact 9
diff --git a/example_num_vars6_depth8/puzzle_ae57251724382cfe.txt b/example_num_vars6_depth8/puzzle_ae57251724382cfe.txt
new file mode 100644
index 0000000000000000000000000000000000000000..28bb3b6dbc5ce93d7092b6b85697875afac7507e
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_ae57251724382cfe.txt
@@ -0,0 +1,10 @@
+new (F → E ∧ A) → ((A → C) → (((D → E) → D) → (A ∧ D → (C ∨ D → E ∨ D))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+cases 3
+right
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_aea483b6e2bf30f9.txt b/example_num_vars6_depth8/puzzle_aea483b6e2bf30f9.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6fc533d8f8ef2af0f66c37ed6461de9a04a25e39
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_aea483b6e2bf30f9.txt
@@ -0,0 +1,16 @@
+new (F → E) → (A ∧ B → (B → (F ∧ A → ((B → E) → (A ∧ C → F ∧ C)))))
+intro
+intro
+cases 1
+intro
+intro
+cases 5
+intro
+intro
+cases 9
+cases 1
+cases 5
+cases 9
+constructor
+exact 6
+exact 11
diff --git a/example_num_vars6_depth8/puzzle_af9b540ffa2f31fe.txt b/example_num_vars6_depth8/puzzle_af9b540ffa2f31fe.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4189f30f49045aec7908f0551444768fb1ef2828
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_af9b540ffa2f31fe.txt
@@ -0,0 +1,14 @@
+new E ∨ B → ((C → D) → (C ∧ B → (F ∧ C → B ∧ D ∨ (C ∨ (B ∨ (B → B))))))
+intro
+intro
+intro
+cases 2
+intro
+cases 5
+cases 2
+cases 5
+left
+constructor
+exact 4
+apply 1
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_b0d5beca5d4cbdf9.txt b/example_num_vars6_depth8/puzzle_b0d5beca5d4cbdf9.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5c30a5b349c0615fd06cd6d0543625e067544619
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_b0d5beca5d4cbdf9.txt
@@ -0,0 +1,15 @@
+new D ∧ C → ((F → D) → (C → (F ∨ B → (A ∧ D → (C ∨ A) ∧ (A ∨ F)))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+cases 6
+cases 0
+cases 6
+constructor
+left
+exact 2
+left
+exact 7
diff --git a/example_num_vars6_depth8/puzzle_b28ea699b361e889.txt b/example_num_vars6_depth8/puzzle_b28ea699b361e889.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8a543850e57f949d13c4a52c155db8d2d7d3c93a
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_b28ea699b361e889.txt
@@ -0,0 +1,8 @@
+new C → (B ∨ E → ((F → A) → F ∨ ((C ∨ A) ∨ ((B ∨ (F → A)) ∨ B))))
+intro
+intro
+intro
+right
+left
+left
+exact 0
diff --git a/example_num_vars6_depth8/puzzle_b2a9649b0dc6dfac.txt b/example_num_vars6_depth8/puzzle_b2a9649b0dc6dfac.txt
new file mode 100644
index 0000000000000000000000000000000000000000..326561fe644561c02a96bf566281e66f7607fe00
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_b2a9649b0dc6dfac.txt
@@ -0,0 +1,10 @@
+new (E ∨ F → E) → (E ∨ C → (F ∨ C) ∧ (D ∧ C) ∨ (E ∨ (C ∨ E)))
+intro
+intro
+right
+right
+cases 1
+right
+exact 2
+left
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_b2ef0cdb50d241f7.txt b/example_num_vars6_depth8/puzzle_b2ef0cdb50d241f7.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8a7253482b0a5a8a276e87b78504fed9cf113b45
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_b2ef0cdb50d241f7.txt
@@ -0,0 +1,6 @@
+new (F → D ∧ B) → ((F ∨ D → C) → (C → (E → E)))
+intro
+intro
+intro
+intro
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_b5d8be52c5d11cfc.txt b/example_num_vars6_depth8/puzzle_b5d8be52c5d11cfc.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1421dbd12ce8c71350d7885bbbe45f2e191fd4dd
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_b5d8be52c5d11cfc.txt
@@ -0,0 +1,14 @@
+new C ∧ B → ((D → C) → (E ∨ A → ((B → F) → F ∧ (A → F))))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+constructor
+apply 5
+exact 2
+intro
+cases 0
+apply 5
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_b803d0fab79b882e.txt b/example_num_vars6_depth8/puzzle_b803d0fab79b882e.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2108d696c66e5f1edb141e7b04cfbd19214781c1
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_b803d0fab79b882e.txt
@@ -0,0 +1,12 @@
+new E ∨ B → ((A ∨ B → F) → ((F → A) → (B ∧ F → (F ∨ C → (A → (C ∨ F) ∨ B)))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+intro
+cases 3
+left
+right
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_b97eeb35a93a3b8b.txt b/example_num_vars6_depth8/puzzle_b97eeb35a93a3b8b.txt
new file mode 100644
index 0000000000000000000000000000000000000000..496aa3c6087ffb48d5cdc4d8eb8ac1642f0774aa
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_b97eeb35a93a3b8b.txt
@@ -0,0 +1,16 @@
+new (D → B) → (F → (F ∧ C → (B ∨ E → (F → (C ∧ F ∨ ((D ∧ B ∨ F) ∨ B)) ∧ ((((E ∨ E) ∨ F) ∧ E) ∧ D ∨ (B ∨ C))))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+cases 2
+constructor
+left
+constructor
+exact 4
+exact 1
+right
+right
+exact 4
diff --git a/example_num_vars6_depth8/puzzle_bb35150949e6dd02.txt b/example_num_vars6_depth8/puzzle_bb35150949e6dd02.txt
new file mode 100644
index 0000000000000000000000000000000000000000..12c98ae4edee2c3fc365e143d3f1562665cacb66
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_bb35150949e6dd02.txt
@@ -0,0 +1,12 @@
+new A ∧ C → (((C → F) → B) → (A → ((B → (A → B)) → (((D → F) → D) → ((D → E ∨ D) → B) ∨ C ∧ C))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+cases 0
+right
+constructor
+exact 2
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_bbac3d43758a93eb.txt b/example_num_vars6_depth8/puzzle_bbac3d43758a93eb.txt
new file mode 100644
index 0000000000000000000000000000000000000000..8fe81226fa80fa6592c49373b6d93ab185bd2dd3
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_bbac3d43758a93eb.txt
@@ -0,0 +1,12 @@
+new (D → E) → (((F → D) → A) → (((D → A) → C) → ((A ∨ C → A) → ((B → E) → (A → ((E ∨ C) ∧ F → A ∨ A))))))
+intro
+intro
+intro
+intro
+intro
+intro
+intro
+cases 6
+cases 6
+left
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_bc71e9ad0d385984.txt b/example_num_vars6_depth8/puzzle_bc71e9ad0d385984.txt
new file mode 100644
index 0000000000000000000000000000000000000000..05940dcf276e93c46dea8f182b91cc21e85d5ada
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_bc71e9ad0d385984.txt
@@ -0,0 +1,1542 @@
+new ((A → C) → D) → (A → (((A → C) → C) → (((B → A) → C) → ((E ∧ (D ∧ F) ∨ (F → C)) ∧ (E → A) → C))))
+intro
+intro
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+cases 4
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+apply 2
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+intro
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+apply 3
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+cases 4
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_be56d702adf94312.txt b/example_num_vars6_depth8/puzzle_be56d702adf94312.txt
new file mode 100644
index 0000000000000000000000000000000000000000..06f3124595d4d037f5b8ca22b4e6385dd815ea94
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_be56d702adf94312.txt
@@ -0,0 +1,34 @@
+new E → (A → (F → ((A → C ∧ F) → ((D ∨ C → C) → ((A ∧ D) ∧ (C → A) → (B → (C ∧ F → (C → C ∨ C))))))))
+intro
+intro
+intro
+intro
+intro
+intro
+cases 5
+cases 5
+cases 6
+cases 8
+intro
+cases 5
+cases 6
+cases 8
+cases 15
+intro
+cases 23
+cases 5
+cases 6
+cases 8
+cases 15
+cases 23
+cases 26
+intro
+cases 5
+cases 6
+cases 8
+cases 15
+cases 23
+cases 26
+cases 39
+left
+exact 24
diff --git a/example_num_vars6_depth8/puzzle_c97374d4f14fcdb9.txt b/example_num_vars6_depth8/puzzle_c97374d4f14fcdb9.txt
new file mode 100644
index 0000000000000000000000000000000000000000..3f221122f668f093a415c428a4356aa162e45fae
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_c97374d4f14fcdb9.txt
@@ -0,0 +1,11 @@
+new A ∧ D → (((C → A) → D) → ((B → A) → (B → (E ∨ (F ∨ B)) ∨ (D ∨ (D ∨ A)))))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+left
+right
+right
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_cffe3b9af677aca6.txt b/example_num_vars6_depth8/puzzle_cffe3b9af677aca6.txt
new file mode 100644
index 0000000000000000000000000000000000000000..cfbeff3da08759d4e4e65f1afae1b5e93ca68d74
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_cffe3b9af677aca6.txt
@@ -0,0 +1,22 @@
+new (B ∨ F → C) → ((B ∨ C → E) → ((C → F) ∨ E → (A ∧ E → (C → ((F → E ∧ A) → (A ∧ (C ∧ E) → (D → C)))))))
+intro
+intro
+intro
+intro
+cases 3
+intro
+intro
+cases 3
+intro
+cases 10
+cases 3
+cases 10
+cases 12
+cases 16
+intro
+cases 3
+cases 10
+cases 12
+cases 16
+cases 25
+exact 6
diff --git a/example_num_vars6_depth8/puzzle_d3361fb80ddcc976.txt b/example_num_vars6_depth8/puzzle_d3361fb80ddcc976.txt
new file mode 100644
index 0000000000000000000000000000000000000000..dd8a3a94de83b422a227654539755034cdaa7381
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_d3361fb80ddcc976.txt
@@ -0,0 +1,18 @@
+new D ∨ B → (B ∧ C → ((B ∨ F → F) → (A ∧ (B ∨ F) → (F ∧ B → (B ∧ C) ∧ (B ∨ E)))))
+intro
+intro
+cases 1
+intro
+intro
+cases 5
+cases 1
+cases 5
+intro
+cases 12
+cases 1
+cases 5
+cases 12
+constructor
+exact 1
+left
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_e00142b86a6910fd.txt b/example_num_vars6_depth8/puzzle_e00142b86a6910fd.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6939931ef9b98c5fbcf249104b94876f107af785
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_e00142b86a6910fd.txt
@@ -0,0 +1,12 @@
+new ((E → A) → C) → (((C → E) → D) → (C ∧ E → ((C → D ∧ F) → (((C → B) → F) → ((C → B) → (A ∨ C) ∨ ((E → (B → F)) ∨ F))))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+intro
+cases 2
+left
+right
+exact 3
diff --git a/example_num_vars6_depth8/puzzle_e19a68fcaa6fda39.txt b/example_num_vars6_depth8/puzzle_e19a68fcaa6fda39.txt
new file mode 100644
index 0000000000000000000000000000000000000000..e281bee82ca5939ed37c7fb97bc7666306d99414
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_e19a68fcaa6fda39.txt
@@ -0,0 +1,14 @@
+new D ∧ B → ((F → A) → (A ∨ C → (C → (B → (B ∨ D → (A → (A → C)))))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+intro
+cases 0
+intro
+cases 0
+intro
+cases 0
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_e3ff3c81b0b4dde2.txt b/example_num_vars6_depth8/puzzle_e3ff3c81b0b4dde2.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a20e5852c447eb8d3cea84dd80a4ce62e05c8476
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_e3ff3c81b0b4dde2.txt
@@ -0,0 +1,12 @@
+new B ∧ E → (C ∧ E → (F ∨ B → (((D → B) → E) → ((E → A) → A))))
+intro
+cases 0
+intro
+cases 3
+intro
+intro
+intro
+cases 0
+cases 3
+apply 8
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_e68088d57aa09da1.txt b/example_num_vars6_depth8/puzzle_e68088d57aa09da1.txt
new file mode 100644
index 0000000000000000000000000000000000000000..9e28bf1d6f733e69e63ca2c341b90b5c267e4bc6
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_e68088d57aa09da1.txt
@@ -0,0 +1,14 @@
+new D ∧ E → (F ∧ D → (E → (A → E)))
+intro
+cases 0
+intro
+cases 3
+cases 0
+cases 3
+intro
+cases 0
+cases 3
+intro
+cases 0
+cases 3
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_e7f28af3ea800d03.txt b/example_num_vars6_depth8/puzzle_e7f28af3ea800d03.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c599fb3701aa95d206ef5e20fcc7c2af1c1f4204
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_e7f28af3ea800d03.txt
@@ -0,0 +1,12 @@
+new C ∧ D → (D → (C ∧ (E ∨ C)) ∧ D)
+intro
+cases 0
+cases 0
+intro
+cases 0
+constructor
+constructor
+exact 1
+right
+exact 1
+exact 2
diff --git a/example_num_vars6_depth8/puzzle_eed4535ee016f7fb.txt b/example_num_vars6_depth8/puzzle_eed4535ee016f7fb.txt
new file mode 100644
index 0000000000000000000000000000000000000000..17e31003b028f4c936e8d9002cdaf32ebd3b7a3f
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_eed4535ee016f7fb.txt
@@ -0,0 +1,12 @@
+new (C ∧ A) ∧ D → ((D ∨ A → F) → (F → (A ∧ C → A)))
+intro
+cases 0
+intro
+intro
+intro
+cases 5
+cases 0
+cases 1
+cases 5
+cases 8
+exact 6
diff --git a/example_num_vars6_depth8/puzzle_f26e266983e81871.txt b/example_num_vars6_depth8/puzzle_f26e266983e81871.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fae2623d0eff524fbfec22ff04e68e1dbd438e90
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_f26e266983e81871.txt
@@ -0,0 +1,15 @@
+new ((C → A) → D) → (B ∨ C → (F ∧ A → (((D → F) → E) → ((A → F) → (B → (F → (B ∨ D) ∧ (C ∧ A) ∨ A)) ∨ D))))
+intro
+intro
+intro
+cases 2
+intro
+intro
+cases 2
+left
+intro
+cases 2
+intro
+cases 2
+right
+exact 4
diff --git a/example_num_vars6_depth8/puzzle_f6931e87ca3472c0.txt b/example_num_vars6_depth8/puzzle_f6931e87ca3472c0.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b97b44045ea7b0cc8d9e48ba2ca3647bfdcc22cb
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_f6931e87ca3472c0.txt
@@ -0,0 +1,14 @@
+new A ∧ E → (F ∧ B → (E → ((F → D) → (E ∧ F → (E ∨ A → F)))))
+intro
+cases 0
+intro
+cases 3
+intro
+intro
+intro
+cases 8
+intro
+cases 0
+cases 3
+cases 8
+exact 4
diff --git a/example_num_vars6_depth8/puzzle_f6b41e6126eb88c4.txt b/example_num_vars6_depth8/puzzle_f6b41e6126eb88c4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b6cc50a7873e1584e83cac5b1d5217b9153986c6
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_f6b41e6126eb88c4.txt
@@ -0,0 +1,19 @@
+new A ∧ D → (((A → B) → E) → (C ∨ D → (C → (B → E ∧ ((D → C) ∧ C)))))
+intro
+cases 0
+intro
+intro
+intro
+cases 0
+intro
+cases 0
+constructor
+apply 3
+intro
+cases 0
+exact 8
+constructor
+intro
+cases 0
+exact 5
+exact 5
diff --git a/example_num_vars6_depth8/puzzle_fae0e97d516d320d.txt b/example_num_vars6_depth8/puzzle_fae0e97d516d320d.txt
new file mode 100644
index 0000000000000000000000000000000000000000..5f870ec0113b38be9c863fd26ae56ba6738ab222
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_fae0e97d516d320d.txt
@@ -0,0 +1,15 @@
+new A ∧ C → ((E → A) → (D → ((D → F) → ((C → D ∧ E) → (F → ((E → F) → A ∨ C) ∧ D)))))
+intro
+cases 0
+intro
+intro
+intro
+intro
+intro
+cases 0
+constructor
+intro
+cases 0
+left
+exact 1
+exact 4
diff --git a/example_num_vars6_depth8/puzzle_fe4d2176bab5c755.txt b/example_num_vars6_depth8/puzzle_fe4d2176bab5c755.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4868272e75a00e685c2cb26fabe9ba8fbb63b53f
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_fe4d2176bab5c755.txt
@@ -0,0 +1,7 @@
+new (A → E ∧ B) → (A → ((A ∨ D → D) → B ∧ E ∨ (F ∨ A)))
+intro
+intro
+intro
+right
+right
+exact 1
diff --git a/example_num_vars6_depth8/puzzle_fe778ab40ae99132.txt b/example_num_vars6_depth8/puzzle_fe778ab40ae99132.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d313d466e8e2aea24d44fe02c05ee5be26648634
--- /dev/null
+++ b/example_num_vars6_depth8/puzzle_fe778ab40ae99132.txt
@@ -0,0 +1,11 @@
+new F → (E → ((D ∨ A → A) → ((D → F ∧ E) → (F ∨ E → (A ∧ D → (B → C) ∨ D)))))
+intro
+intro
+intro
+intro
+intro
+intro
+cases 5
+cases 5
+right
+exact 7