run_id string | benchmark string | prover_model string | lean_version string | problem string | sample_id int64 | candidate_index int64 | source large_string | label int8 | status string | error_kind string |
|---|---|---|---|---|---|---|---|---|---|---|
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 0 | 0 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 1 | 1 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 2 | 2 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 3 | 3 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 4 | 4 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 5 | 5 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 6 | 6 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 7 | 7 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 8 | 8 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 9 | 9 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 10 | 10 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 11 | 11 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 12 | 12 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 13 | 13 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 14 | 14 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 15 | 15 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 17 | 17 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 18 | 18 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 19 | 19 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 20 | 20 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 21 | 21 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 22 | 22 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 23 | 23 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 24 | 24 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 25 | 25 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 26 | 26 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 27 | 27 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 28 | 28 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 29 | 29 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 30 | 30 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2019_p21 | 31 | 31 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2019_p21 (z : ℂ) (h₀ : z = (1 + Complex.I) / Real.sqrt 2) :
((∑ k ∈ Finset.Icc (1 : ℤ) 12, z ^ k ^ 2) * (∑ k ∈ Finset.Icc (1 : ℤ) 1... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 0 | 0 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 1 | 1 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 2 | 2 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 3 | 3 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 5 | 5 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 6 | 6 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 7 | 7 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : y ≤ 7 := by
by_contra! h
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 8 | 8 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : y ≤ 7 := by
by_contra! h
... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 9 | 9 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 10 | 10 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : x > 0 := by
have h₃₁ : y ≥ 1 ... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 11 | 11 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : y ≤ 7 := by
by_contra! h
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 12 | 12 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 13 | 13 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 14 | 14 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 15 | 15 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 16 | 16 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 17 | 17 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 18 | 18 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 19 | 19 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : y ≤ 7 := by
by_contra! h
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 20 | 20 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 21 | 21 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 22 | 22 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : y ≤ 7 := by
by_contra! h
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 23 | 23 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1 : ℤ) > 0 := by
have h₃... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 24 | 24 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1 : ℤ) * (y + 1 : ℤ) = 81 :=... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 25 | 25 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : y ≤ 7 := by
by_contra! h
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 26 | 26 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h_main : x = 26 := by
have h₃ : x ... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 27 | 27 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : y ≤ 7 := by
by_contra! h
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 28 | 28 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 29 | 29 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1) * (y + 1) = 81 := by
... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 30 | 30 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : y ≤ 7 := by
by_contra! h
... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2015_p10 | 31 | 31 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2015_p10 (x y : ℤ) (h₀ : 0 < y) (h₁ : y < x) (h₂ : x + y + x * y = 80) : x = 26 := by
have h₃ : (x + 1 : ℤ) > 0 := by
have h₃... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 0 | 0 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 1 | 1 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 3 | 3 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 4 | 4 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 5 | 5 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 6 | 6 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 7 | 7 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 8 | 8 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 9 | 9 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 10 | 10 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 11 | 11 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 12 | 12 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 13 | 13 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 14 | 14 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 15 | 15 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 16 | 16 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 17 | 17 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 18 | 18 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 19 | 19 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 20 | 20 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 21 | 21 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 22 | 22 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 23 | 23 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 24 | 24 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 0 | failed | lean_error |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 25 | 25 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 26 | 26 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 27 | 27 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 28 | 28 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 29 | 29 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 30 | 30 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | amc12a_2008_p8 | 31 | 31 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
(h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
have... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | mathd_algebra_182 | 0 | 0 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem mathd_algebra_182 (y : ℂ) : 7 * (3 * y + 2) = 21 * y + 14 := by
have h1 : 7 * (3 * y + 2) = 7 * (3 * y) + 7 * 2 := by
ring_nf
<;... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | mathd_algebra_182 | 1 | 1 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem mathd_algebra_182 (y : ℂ) : 7 * (3 * y + 2) = 21 * y + 14 := by
have h₁ : 7 * (3 * y + 2) = 7 * (3 * y) + 7 * 2 := by
ring_nf
<;... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | mathd_algebra_182 | 2 | 2 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem mathd_algebra_182 (y : ℂ) : 7 * (3 * y + 2) = 21 * y + 14 := by
have h1 : 7 * (3 * y + 2) = 7 * (3 * y) + 7 * 2 := by
ring_nf
<;... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | mathd_algebra_182 | 3 | 3 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem mathd_algebra_182 (y : ℂ) : 7 * (3 * y + 2) = 21 * y + 14 := by
have h₁ : 7 * (3 * y + 2) = 7 * 3 * y + 7 * 2 := by
ring_nf
<;> ... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | mathd_algebra_182 | 4 | 4 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem mathd_algebra_182 (y : ℂ) : 7 * (3 * y + 2) = 21 * y + 14 := by
have h1 : 7 * (3 * y + 2) = 7 * (3 * y) + 7 * 2 := by
ring_nf
<;... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | mathd_algebra_182 | 5 | 5 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem mathd_algebra_182 (y : ℂ) : 7 * (3 * y + 2) = 21 * y + 14 := by
have h₁ : 7 * (3 * y + 2) = 7 * (3 * y) + 7 * 2 := by
rw [Complex.ex... | 1 | passed | null |
Pythagoras-LM_Pythagoras-Prover-4B_minif2f_20260902 | minif2f | Pythagoras-LM/Pythagoras-Prover-4B | v4.15.0 | mathd_algebra_182 | 6 | 6 | import Mathlib
import Aesop
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
set_option maxHeartbeats 800000
open BigOperators Real Nat Topology Rat
theorem mathd_algebra_182 (y : ℂ) : 7 * (3 * y + 2) = 21 * y + 14 := by
have h_main : 7 * (3 * y + 2) = 21 * y + 14 := by
ring_nf
<;> si... | 1 | passed | null |
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