Remove accidentally uploaded experiments/learnability folder

experiments/learnability/__pycache__/proofsearch.cpython-311.pyc

@@ -1,3 +0,0 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:254a5267083943689a306953689161bba17960d0b96ba6dd0977b35d347652b6
-size 103067

experiments/learnability/ablate_updates.py

@@ -1,395 +0,0 @@
-#!/usr/bin/env python3
-
-"""
-Ablation script: loads a checkpoint and the next iteration's training data,
-then trains copies of the agent with different hyperparameter configs
-(number of updates, learning rate, batch size, etc.) and evaluates each.
-
-Usage:
-    python ablate_updates.py
-
-Edit the ABLATION_CONFIGS list below to define the hyperparameter grid.
-"""
-
-import os
-import io
-import copy
-import json
-import random
-import datetime
-import argparse
-
-import torch
-import wandb
-from tqdm import tqdm
-
-# ---------------------------------------------------------------------------
-# Configuration
-# ---------------------------------------------------------------------------
-
-# Checkpoint to start from (all ablations fork from this).
-CHECKPOINT_PATH = "/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para_8000updates/2026-03-10_21-21-05/0.pt"
-
-# Training examples generated in the *same* iteration (i.e. examples_0.json).
-EXAMPLES_PATH = "/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para_8000updates/2026-03-10_21-21-05/examples_0.json"
-
-# Where to write ablation outputs (default: alongside the checkpoint).
-OUTPUT_ROOT = None  # If None, writes to <checkpoint_dir>/ablations/
-
-# GPU device index (set to None for CPU).
-CUDA_DEVICE = 0
-
-# wandb project (set to None to disable).
-WANDB_PROJECT = "peano-ablation"
-
-# Each dict specifies overrides.  Keys:
-#   mode          – "sample" (original: sample with replacement, char-budget batches)
-#                   "epoch"  (deduplicate, shuffle, epoch-based, fixed example-count batches)
-#   n_steps       – gradient steps (only for mode="sample"; default: 8000)
-#   n_epochs      – number of epochs (only for mode="epoch"; default: 1)
-#   batch_size    – for mode="sample": character-token budget per batch (default: 10000)
-#                   for mode="epoch":  number of examples per batch (default: 64)
-#   lr            – learning rate for AdamW  (default: 1e-4)
-#   tag           – human-readable name used in output dir & wandb run name
-ABLATION_CONFIGS = [
-    # --- Mode A: original sampling (with replacement, char-budget batches) ---
-    # Dir names auto-generated: updates_{ckpt}_{mode}_{params}
-    #{"mode": "sample", "n_steps": 2000, "batch_size": 10000},
-    #{"mode": "sample", "n_steps": 4000, "batch_size": 10000},
-
-    # --- Mode B: epoch training (deduplicate, shuffle, re-shuffle each epoch) ---
-    #{"mode": "epoch", "batch_size": 32, "n_epochs": 4, "save_every": 1},  # also save intermediate checkpoints at epoch 2
-    {"mode": "epoch", "batch_size": 64, "n_epochs": 2, "save_every": 1},  # save per-epoch ckpts: epoch_1.pt (mid) + epoch_2.pt/1.pt (final)
-    #{"mode": "epoch", "batch_size": 128, "n_epochs": 4, "save_every": 1},  # also save intermediate checkpoints at epoch 2
-
-    # --- optional: epoch with different lr ---
-    # {"mode": "epoch", "batch_size": 64, "lr": 5e-5},
-    # {"mode": "epoch", "batch_size": 64, "lr": 3e-4},
-]
-
-# ---------------------------------------------------------------------------
-# Helpers
-# ---------------------------------------------------------------------------
-
-def now() -> str:
-    return "[" + datetime.datetime.now().isoformat() + "]"
-
-
-def load_examples(path: str) -> list[str]:
-    """Load training examples (list of strings) from a JSON file."""
-    with open(path) as f:
-        examples = json.load(f)
-    # examples can be plain strings or dicts with a 'str' key
-    out = []
-    for e in examples:
-        if isinstance(e, str):
-            out.append(e)
-        elif isinstance(e, dict) and "str" in e:
-            out.append(e["str"])
-        else:
-            raise ValueError(f"Unexpected example format: {type(e)}")
-    return out
-
-
-def ckpt_num(path: str) -> str:
-    """Extract checkpoint number from path, e.g. '/foo/0.pt' -> '0'."""
-    return os.path.splitext(os.path.basename(path))[0]
-
-
-def make_run_name(cfg: dict, checkpoint_path: str) -> str:
-    """Build directory name: updates_{ckpt_num}_{mode}_{params}."""
-    cn = ckpt_num(checkpoint_path)
-    mode = cfg.get("mode", "sample")
-    parts = [f"updates_{cn}", mode]
-    if mode == "sample":
-        parts.append(f"{cfg.get('n_steps', 8000)}steps")
-        bs = cfg.get('batch_size') or 10000
-        parts.append(f"bs{bs}")
-    elif mode == "epoch":
-        parts.append(f"{cfg.get('n_epochs', 1)}ep")
-        bs = cfg.get('batch_size') or 64
-        parts.append(f"bs{bs}")
-    if cfg.get("lr") is not None:
-        parts.append(f"lr{cfg['lr']}")
-    return "_".join(parts)
-
-
-def deep_copy_agent(agent):
-    """Deep-copy an agent via serialize/deserialize (handles CUDA tensors)."""
-    buf = io.BytesIO()
-    torch.save(agent, buf)
-    buf.seek(0)
-    return torch.load(buf, weights_only=False)
-
-
-def set_lr(optimizer, lr: float):
-    """Override learning rate on all param groups."""
-    for pg in optimizer.param_groups:
-        pg["lr"] = lr
-
-
-def train_agent_sample(agent, examples: list[str], n_steps: int,
-                       batch_size: int | None = None,
-                       lr: float | None = None,
-                       verbose: bool = True):
-    """
-    Original training mode: sample batches with replacement.
-
-      - n_steps:    number of gradient steps
-      - batch_size: total character-token budget per batch (default from agent)
-      - lr:         learning rate override
-    """
-    lm_policy = agent._policy          # LMPolicy
-    lm = lm_policy._lm                 # TransformerLMPolicy
-
-    bs = batch_size if batch_size is not None else lm_policy._batch_size
-
-    if lr is not None:
-        set_lr(lm._optimizer, lr)
-
-    lm.fit(examples, bs, n_steps, verbose=verbose)
-    lm.eval()
-    return n_steps
-
-
-def train_agent_epoch(agent, examples: list[str],
-                      batch_size: int = 64,
-                      n_epochs: int = 1,
-                      lr: float | None = None,
-                      save_every: int | None = None,
-                      run_dir: str | None = None,
-                      verbose: bool = True):
-    """
-    Epoch-based training: deduplicate, then train for n_epochs epochs
-    with re-shuffling each epoch and fixed example-count batches.
-
-      - batch_size:  number of examples per batch
-      - n_epochs:    number of passes over the dataset
-      - lr:          learning rate override
-      - save_every:  save a checkpoint every N epochs (None = only final)
-      - run_dir:     directory to save intermediate checkpoints into
-    """
-    lm = agent._policy._lm             # TransformerLMPolicy
-
-    if lr is not None:
-        set_lr(lm._optimizer, lr)
-
-    # Deduplicate
-    unique_examples = list(dict.fromkeys(examples))  # preserves first occurrence order
-    print(f"  Dedup: {len(examples)} -> {len(unique_examples)} unique examples")
-
-    lm._lm.train()
-    batches_per_epoch = (len(unique_examples) + batch_size - 1) // batch_size
-    total_steps = 0
-    saved_epochs = set()
-
-    for epoch in range(n_epochs):
-        # Re-shuffle each epoch
-        random.shuffle(unique_examples)
-
-        rng = range(batches_per_epoch)
-        if verbose:
-            rng = tqdm(rng, desc=f"Epoch {epoch+1}/{n_epochs}")
-
-        for i in rng:
-            batch = unique_examples[i * batch_size : (i + 1) * batch_size]
-            lm._optimizer.zero_grad()
-            loss = lm.get_loss(batch)
-            loss.backward()
-            wandb.log({"train_loss": loss, "epoch": epoch + 1})
-            lm._optimizer.step()
-            total_steps += 1
-
-        # Intermediate checkpoint
-        if save_every and run_dir and (epoch + 1) % save_every == 0:
-            lm._lm.eval()
-            ckpt_path = os.path.join(run_dir, f"epoch_{epoch+1}.pt")
-            torch.save(agent, ckpt_path)
-            print(f"  {now()} Saved checkpoint at epoch {epoch+1} -> {ckpt_path}")
-            saved_epochs.add(epoch + 1)
-            lm._lm.train()
-
-    lm._lm.eval()
-
-    # Save final if not already saved by save_every
-    if run_dir and n_epochs not in saved_epochs:
-        final_path = os.path.join(run_dir, f"epoch_{n_epochs}.pt")
-        torch.save(agent, final_path)
-        print(f"  {now()} Saved final checkpoint -> {final_path}")
-
-    print(f"  Done: {n_epochs} epoch(s), {total_steps} total steps, "
-          f"{len(unique_examples)} unique examples (batch_size={batch_size})")
-    return total_steps
-
-
-# ---------------------------------------------------------------------------
-# Main
-# ---------------------------------------------------------------------------
-
-def run_ablation(cfg: dict, base_agent, examples: list[str], output_root: str,
-                 checkpoint_path: str, examples_path: str = None):
-    tag = cfg.get("tag") or make_run_name(cfg, checkpoint_path)
-    mode = cfg.get("mode", "sample")
-    n_steps = cfg.get("n_steps", 8000)
-    batch_size = cfg.get("batch_size", None)
-    lr = cfg.get("lr", None)
-
-    run_dir = os.path.join(output_root, tag)
-    os.makedirs(run_dir, exist_ok=True)
-
-    # Save config (include checkpoint + examples paths for reproducibility)
-    saved_cfg = {**cfg, "checkpoint": checkpoint_path, "examples": examples_path}
-    with open(os.path.join(run_dir, "ablation_config.json"), "w") as f:
-        json.dump(saved_cfg, f, indent=2)
-
-    # Deep-copy agent so each ablation starts from the same checkpoint
-    print(f"\n{'='*60}")
-    print(f"{now()} Starting ablation: {tag}  (mode={mode})")
-    print(f"  n_steps={n_steps}, batch_size={batch_size}, lr={lr}")
-    print(f"  output -> {run_dir}")
-    print(f"{'='*60}")
-
-    agent = deep_copy_agent(base_agent)
-
-    # Init wandb run for this ablation
-    wandb_config = {
-        "checkpoint": CHECKPOINT_PATH,
-        "examples": EXAMPLES_PATH,
-        "mode": mode,
-        "batch_size": batch_size or agent._policy._batch_size,
-        "lr": lr or agent._policy._lm._optimizer.param_groups[0]["lr"],
-        "tag": tag,
-    }
-    if mode == "sample":
-        wandb_config["n_steps"] = n_steps
-    elif mode == "epoch":
-        wandb_config["n_epochs"] = cfg.get("n_epochs", 1)
-    if WANDB_PROJECT:
-        wandb.init(
-            project=WANDB_PROJECT,
-            name=tag,
-            config=wandb_config,
-            reinit=True,
-        )
-
-    if mode == "sample":
-        total_steps = train_agent_sample(agent, examples, n_steps=n_steps,
-                                         batch_size=batch_size, lr=lr)
-    elif mode == "epoch":
-        total_steps = train_agent_epoch(agent, examples,
-                                        batch_size=batch_size or 64,
-                                        n_epochs=cfg.get("n_epochs", 1), lr=lr,
-                                        save_every=cfg.get("save_every"),
-                                        run_dir=run_dir)
-    else:
-        raise ValueError(f"Unknown training mode: {mode}")
-
-    # Save the trained agent as 1.pt (next iteration checkpoint)
-    out_path = os.path.join(run_dir, "1.pt")
-    torch.save(agent, out_path)
-    print(f"{now()} Saved trained agent to {out_path}")
-
-    # Save training stats
-    stats = {"total_gradient_steps": total_steps}
-    with open(os.path.join(run_dir, "train_stats.json"), "w") as f:
-        json.dump(stats, f, indent=2)
-
-    if WANDB_PROJECT:
-        wandb.finish()
-
-    return out_path, total_steps
-
-
-def main():
-    global WANDB_PROJECT
-    parser = argparse.ArgumentParser(description="Ablation over training hyperparameters")
-    parser.add_argument("--checkpoint", default=CHECKPOINT_PATH,
-                        help="Path to the base .pt checkpoint")
-    parser.add_argument("--examples", default=EXAMPLES_PATH,
-                        help="Path to examples JSON file")
-    parser.add_argument("--output", default=None,
-                        help="Root output directory (default: <checkpoint_dir>/ablations/)")
-    parser.add_argument("--device", type=int, default=CUDA_DEVICE,
-                        help="CUDA device index (use -1 for CPU)")
-    parser.add_argument("--seed", type=int, default=None,
-                        help="Random seed for reproducible shuffling/training (default: unseeded).")
-    parser.add_argument("--wandb-project", default=WANDB_PROJECT,
-                        help="W&B project name (empty string to disable)")
-    parser.add_argument("--configs", nargs="+", default=None,
-                        help="Run only ablations whose tags match these (default: all)")
-    args = parser.parse_args()
-
-    # Set device
-    if args.device >= 0 and torch.cuda.is_available():
-        os.environ["CUDA_VISIBLE_DEVICES"] = str(args.device)
-
-    # Seed for reproducible shuffles / training stochasticity (dropout, etc.)
-    if args.seed is not None:
-        random.seed(args.seed)
-        torch.manual_seed(args.seed)
-        torch.cuda.manual_seed_all(args.seed)
-        print(f"{now()} Seeded RNGs with seed={args.seed}")
-
-    WANDB_PROJECT = args.wandb_project or None
-
-    # If wandb is disabled, make wandb.log a no-op (policy.py's fit() calls it directly)
-    if not WANDB_PROJECT:
-        wandb.log = lambda *args, **kwargs: None
-
-    # Default output dir: <checkpoint_dir>/ablations/<timestamp>/
-    ckpt_dir = os.path.dirname(os.path.abspath(args.checkpoint))
-    timestamp = datetime.datetime.now().strftime("%Y-%m-%d_%H-%M-%S")
-    output_root = os.path.join(args.output or os.path.join(ckpt_dir, "ablations"), timestamp)
-    os.makedirs(output_root, exist_ok=True)
-
-    print(f"{now()} Loading checkpoint from {args.checkpoint}")
-    base_agent = torch.load(args.checkpoint, weights_only=False)
-
-    print(f"{now()} Loading examples from {args.examples}")
-    examples = load_examples(args.examples)
-    print(f"  {len(examples)} training examples loaded.")
-
-    configs = ABLATION_CONFIGS
-    if args.configs:
-        configs = [c for c in configs if
-                   (c.get("tag") or make_run_name(c, args.checkpoint)) in args.configs]
-        print(f"  Running subset: {[c.get('tag') or make_run_name(c, args.checkpoint) for c in configs]}")
-
-    results = {}
-
-    for cfg in configs:
-        agent_path, total_steps = run_ablation(cfg, base_agent, examples, output_root,
-                                                args.checkpoint,
-                                                examples_path=os.path.abspath(args.examples))
-        run_name = cfg.get("tag") or make_run_name(cfg, args.checkpoint)
-        results[run_name] = {"path": agent_path, "total_gradient_steps": total_steps}
-
-    # Summary
-    print(f"\n{'='*60}")
-    print(f"{now()} All ablations complete.")
-    print(f"{'='*60}")
-    summary_path = os.path.join(output_root, "summary.json")
-    with open(summary_path, "w") as f:
-        json.dump({
-            "checkpoint": os.path.abspath(args.checkpoint),
-            "examples": os.path.abspath(args.examples),
-            "configs": ABLATION_CONFIGS,
-            "results": results,
-        }, f, indent=2)
-    print(f"Summary saved to {summary_path}")
-
-    for tag, path in results.items():
-        print(f"  {tag}: {path}")
-
-
-if __name__ == "__main__":
-    main()
-
-
-#command to run this script:    
-
-# python ablate_updates.py --checkpoint /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_parallel/2026-01-19_12-06-16/0.pt --examples /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_parallel/2026-01-19_12-06-16/examples_0.json --wandb-project peano-ablation
-
-# python ablate_updates.py --checkpoint /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para_8000updates/2026-03-10_21-21-05/0.pt --examples /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para_8000updates/2026-03-10_21-21-05/examples_0.json --wandb-project peano-ablation
-
-# python ablate_updates.py --checkpoint /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_itlearn_fresh_parallel/2026-01-25_12-18-11/0.pt --examples /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_itlearn_fresh_parallel/2026-01-25_12-18-11/examples_5.json --wandb-project peano-ablation

experiments/learnability/action.py

@@ -1,48 +0,0 @@
-#!/usr/bin/env python3
-# Wrapper for PyProofAction that allows for sequences of actions to be chained together.
-
-import functools
-
-import peano
-
-
-class ProofAction:
-    def __init__(self, peano_actions: list):
-        self._actions = peano_actions
-
-    def __str__(self) -> str:
-        return ' => '.join(map(str, self._actions))
-
-    def __repr__(self) -> str:
-        return str(self)
-
-    def __eq__(self, rhs) -> bool:
-        return isinstance(rhs, ProofAction) and self._actions == rhs._actions
-
-    def is_intro(self) -> bool:
-        return len(self._actions) == 1 and self._actions[0].is_intro()
-
-    def is_construct(self):
-        return len(self._actions) <= 2 and self._actions[0].is_construct()
-
-    def is_apply(self):
-        return len(self._actions) <= 2 and self._actions[0].is_apply()
-
-    def execute(self, state: peano.PyProofState) -> peano.PyProofState:
-        return functools.reduce(lambda s, a: s[0].execute_action(a),
-                                self._actions, [state])
-
-    def is_eager(self):
-        return self.is_intro() or len(self._actions) == 2
-
-    def arrow_name(self):
-        assert not self.is_intro()
-        return str(self._actions[0]).split()[1]
-
-    def construction_dtype(self):
-        c_a = (self._actions[1]
-               if self._actions[0].is_construct()
-               else self._actions[0])
-        dtype, _value = c_a.selected_construction()
-        return str(dtype)
-

experiments/learnability/bestfirst_eval/eval_driver.log

@@ -1,77 +0,0 @@
-[2026-06-29 03:08:47] ===== START: 22 best-first evals (max_pops=4000 timeout=600s) on GPUs 0 1 2 3 =====
-[2026-06-29 03:08:47] EVAL [0/22] base/minimo_0pt -> gpu 0
-[2026-06-29 03:08:47] EVAL [1/22] base/minimo_1pt -> gpu 1
-[2026-06-29 03:08:47] EVAL [2/22] final/minimo_0pt/s42/2026-06-28_05-29-55 -> gpu 2
-[2026-06-29 03:08:47] EVAL [3/22] final/minimo_0pt/s43/2026-06-28_05-29-55 -> gpu 3
-[2026-06-29 03:08:54] EVAL DONE base/minimo_0pt
-[2026-06-29 03:08:55] EVAL DONE base/minimo_1pt
-[2026-06-29 03:10:56] EVAL DONE final/minimo_0pt/s43/2026-06-28_05-29-55
-[2026-06-29 03:10:56] EVAL DONE final/minimo_0pt/s42/2026-06-28_05-29-55
-[2026-06-29 03:11:16] ===== START: 22 best-first evals (max_pops=4000 timeout=600s) on GPUs 0 1 2 3 =====
-[2026-06-29 03:11:16] EVAL [0/22] base/minimo_0pt -> gpu 0
-[2026-06-29 03:11:16] EVAL [1/22] base/minimo_1pt -> gpu 1
-[2026-06-29 03:11:16] EVAL [2/22] final/minimo_0pt/s42/2026-06-28_05-29-55 -> gpu 2
-[2026-06-29 03:11:16] EVAL [3/22] final/minimo_0pt/s43/2026-06-28_05-29-55 -> gpu 3
-[2026-06-29 03:47:10] EVAL DONE base/minimo_1pt
-[2026-06-29 03:56:56] EVAL DONE final/minimo_0pt/s42/2026-06-28_05-29-55
-[2026-06-29 03:57:08] EVAL DONE final/minimo_0pt/s43/2026-06-28_05-29-55
-[2026-06-29 03:57:33] EVAL DONE base/minimo_0pt
-[2026-06-29 03:57:33] EVAL [4/22] final/minimo_0pt/s44/2026-06-28_05-30-13 -> gpu 0
-[2026-06-29 03:57:33] EVAL [5/22] final/minimo_0pt/s45/2026-06-28_05-30-13 -> gpu 1
-[2026-06-29 03:57:33] EVAL [6/22] final/minimo_0pt/s46/2026-06-28_05-30-31 -> gpu 2
-[2026-06-29 03:57:33] EVAL [7/22] final/minimo_1pt/s42/2026-06-28_05-30-31 -> gpu 3
-[2026-06-29 04:36:09] EVAL DONE final/minimo_1pt/s42/2026-06-28_05-30-31
-[2026-06-29 04:43:14] EVAL DONE final/minimo_0pt/s46/2026-06-28_05-30-31
-[2026-06-29 04:43:24] EVAL DONE final/minimo_0pt/s45/2026-06-28_05-30-13
-[2026-06-29 04:43:42] EVAL DONE final/minimo_0pt/s44/2026-06-28_05-30-13
-[2026-06-29 04:43:42] EVAL [8/22] final/minimo_1pt/s43/2026-06-28_05-30-50 -> gpu 0
-[2026-06-29 04:43:42] EVAL [9/22] final/minimo_1pt/s44/2026-06-28_05-30-50 -> gpu 1
-[2026-06-29 04:43:42] EVAL [10/22] final/minimo_1pt/s45/2026-06-28_05-31-10 -> gpu 2
-[2026-06-29 04:43:42] EVAL [11/22] final/minimo_1pt/s46/2026-06-28_05-31-10 -> gpu 3
-[2026-06-29 05:19:29] EVAL DONE final/minimo_1pt/s43/2026-06-28_05-30-50
-[2026-06-29 05:19:45] EVAL DONE final/minimo_1pt/s44/2026-06-28_05-30-50
-[2026-06-29 05:21:14] EVAL DONE final/minimo_1pt/s45/2026-06-28_05-31-10
-[2026-06-29 05:23:48] EVAL DONE final/minimo_1pt/s46/2026-06-28_05-31-10
-[2026-06-29 05:23:48] EVAL [12/22] mid/minimo_0pt/s42/2026-06-28_05-29-55 -> gpu 0
-[2026-06-29 05:23:48] EVAL [13/22] mid/minimo_0pt/s43/2026-06-28_05-29-55 -> gpu 1
-[2026-06-29 05:23:48] EVAL [14/22] mid/minimo_0pt/s44/2026-06-28_05-30-13 -> gpu 2
-[2026-06-29 05:23:48] EVAL [15/22] mid/minimo_0pt/s45/2026-06-28_05-30-13 -> gpu 3
-[2026-06-29 06:09:37] EVAL DONE mid/minimo_0pt/s44/2026-06-28_05-30-13
-[2026-06-29 06:09:43] EVAL DONE mid/minimo_0pt/s43/2026-06-28_05-29-55
-[2026-06-29 06:09:43] EVAL DONE mid/minimo_0pt/s45/2026-06-28_05-30-13
-[2026-06-29 06:10:07] EVAL DONE mid/minimo_0pt/s42/2026-06-28_05-29-55
-[2026-06-29 06:10:07] EVAL [16/22] mid/minimo_0pt/s46/2026-06-28_05-30-31 -> gpu 0
-[2026-06-29 06:10:07] EVAL [17/22] mid/minimo_1pt/s42/2026-06-28_05-30-31 -> gpu 1
-[2026-06-29 06:10:07] EVAL [18/22] mid/minimo_1pt/s43/2026-06-28_05-30-50 -> gpu 2
-[2026-06-29 06:10:07] EVAL [19/22] mid/minimo_1pt/s44/2026-06-28_05-30-50 -> gpu 3
-[2026-06-29 06:47:00] EVAL DONE mid/minimo_1pt/s44/2026-06-28_05-30-50
-[2026-06-29 06:49:32] EVAL DONE mid/minimo_1pt/s42/2026-06-28_05-30-31
-[2026-06-29 06:50:23] EVAL DONE mid/minimo_1pt/s43/2026-06-28_05-30-50
-[2026-06-29 06:56:14] EVAL DONE mid/minimo_0pt/s46/2026-06-28_05-30-31
-[2026-06-29 06:56:14] EVAL [20/22] mid/minimo_1pt/s45/2026-06-28_05-31-10 -> gpu 0
-[2026-06-29 06:56:14] EVAL [21/22] mid/minimo_1pt/s46/2026-06-28_05-31-10 -> gpu 1
-[2026-06-29 07:31:27] EVAL DONE mid/minimo_1pt/s46/2026-06-28_05-31-10
-[2026-06-29 07:31:44] EVAL DONE mid/minimo_1pt/s45/2026-06-28_05-31-10
-[2026-06-29 07:31:44] --- All evals complete ---
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experiments/learnability/bestfirst_eval/minimo_0pt_base_bf_extrinsic-95.json

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experiments/learnability/bestfirst_eval/minimo_0pt_base_bf_extrinsic-95.log

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-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-[OK ] extrinsic_L0_1  (solved pops=3 evals=21 maxopen=17)
-[OK ] extrinsic_L0_6  (solved pops=53 evals=346 maxopen=294)
-[OK ] extrinsic_L0_2  (solved pops=55 evals=350 maxopen=296)
-[OK ] extrinsic_L0_5  (solved pops=57 evals=353 maxopen=297)
-[OK ] extrinsic_L0_3  (solved pops=64 evals=395 maxopen=332)
-[OK ] extrinsic_L0_10  (solved pops=11 evals=75 maxopen=65)
-[OK ] extrinsic_L0_7  (solved pops=55 evals=352 maxopen=298)
-[OK ] extrinsic_L0_12  (solved pops=16 evals=89 maxopen=57)
-[OK ] extrinsic_L0_8  (solved pops=53 evals=347 maxopen=295)
-[OK ] extrinsic_L0_13  (solved pops=25 evals=176 maxopen=152)
-[OK ] extrinsic_L0_9  (solved pops=53 evals=362 maxopen=294)
-[OK ] extrinsic_L0_4  (solved pops=201 evals=1060 maxopen=860)
-[OK ] extrinsic_L1_4  (solved pops=18 evals=121 maxopen=102)
-[OK ] extrinsic_L0_11  (solved pops=210 evals=1157 maxopen=948)
-[OK ] extrinsic_L1_1  (solved pops=225 evals=1196 maxopen=954)
-[OK ] extrinsic_L1_2  (solved pops=452 evals=2444 maxopen=1993)
-[OK ] extrinsic_L1_3  (solved pops=452 evals=2441 maxopen=1990)
-[OK ] extrinsic_L2_1  (solved pops=1414 evals=7998 maxopen=6585)
-[OK ] extrinsic_L2_6  (solved pops=1418 evals=8021 maxopen=6604)
-[OK ] extrinsic_L2_7  (solved pops=898 evals=4947 maxopen=4050)
-[   ] extrinsic_L2_2  (budget pops=4000 evals=26022 maxopen=22023)
-[   ] extrinsic_L0_14  (budget pops=4000 evals=26308 maxopen=22309)
-[   ] extrinsic_L2_3  (budget pops=4000 evals=26017 maxopen=22018)
-[OK ] extrinsic_L2_11  (solved pops=22 evals=145 maxopen=122)
-[   ] extrinsic_L2_4  (budget pops=4000 evals=26012 maxopen=22013)
-[   ] extrinsic_L2_5  (budget pops=4000 evals=25845 maxopen=21846)
-[OK ] extrinsic_L2_9  (solved pops=995 evals=5535 maxopen=4541)
-[OK ] extrinsic_L2_12  (solved pops=1322 evals=7487 maxopen=6166)
-[   ] extrinsic_L2_8  (budget pops=4000 evals=26325 maxopen=22326)
-[   ] extrinsic_L2_10  (budget pops=4000 evals=26099 maxopen=22100)
-[   ] extrinsic_L2_13  (budget pops=4000 evals=25708 maxopen=21709)
-[   ] extrinsic_L3_1  (budget pops=4000 evals=26029 maxopen=22030)
-[   ] extrinsic_L3_2  (budget pops=4000 evals=25731 maxopen=21732)
-[   ] extrinsic_L3_3  (budget pops=4000 evals=25729 maxopen=21730)
-[   ] extrinsic_L3_4  (budget pops=4000 evals=25927 maxopen=21928)
-[   ] extrinsic_L3_5  (budget pops=4000 evals=25932 maxopen=21933)
-[   ] extrinsic_L3_6  (budget pops=4000 evals=25833 maxopen=21834)
-[   ] extrinsic_L3_7  (budget pops=4000 evals=26004 maxopen=22005)
-[   ] extrinsic_L3_8  (budget pops=4000 evals=26146 maxopen=22147)
-[   ] extrinsic_L3_9  (budget pops=4000 evals=26098 maxopen=22099)
-[   ] extrinsic_L3_10  (budget pops=4000 evals=26006 maxopen=22007)
-[OK ] extrinsic_L3_13  (solved pops=3008 evals=17936 maxopen=14929)
-[OK ] extrinsic_L3_14  (solved pops=3163 evals=19748 maxopen=16586)
-[   ] extrinsic_L3_11  (budget pops=4000 evals=25697 maxopen=21698)
-[   ] extrinsic_L3_12  (budget pops=4000 evals=25704 maxopen=21705)
-[   ] extrinsic_L3_15  (budget pops=4000 evals=26079 maxopen=22080)
-[   ] extrinsic_L3_16  (budget pops=4000 evals=26053 maxopen=22054)
-[   ] extrinsic_L3_17  (budget pops=4000 evals=25822 maxopen=21823)
-[   ] extrinsic_L3_18  (budget pops=4000 evals=26002 maxopen=22003)
-[   ] extrinsic_L3_19  (budget pops=4000 evals=25892 maxopen=21893)
-[   ] extrinsic_L3_20  (budget pops=4000 evals=26009 maxopen=22010)
-[   ] extrinsic_L3_21  (budget pops=4000 evals=25965 maxopen=21966)
-[   ] extrinsic_L3_22  (budget pops=4000 evals=26014 maxopen=22015)
-[   ] extrinsic_L3_23  (budget pops=4000 evals=26021 maxopen=22022)
-[   ] extrinsic_L3_24  (budget pops=4000 evals=26314 maxopen=22315)
-[   ] extrinsic_L3_26  (budget pops=4000 evals=26023 maxopen=22024)
-[   ] extrinsic_L3_25  (budget pops=4000 evals=27014 maxopen=23015)
-[   ] extrinsic_L3_27  (budget pops=4000 evals=25989 maxopen=21990)
-[   ] extrinsic_L3_28  (budget pops=4000 evals=25958 maxopen=21959)
-[   ] extrinsic_L4_1  (budget pops=4000 evals=26683 maxopen=22684)
-[   ] extrinsic_L3_29  (budget pops=4000 evals=26769 maxopen=22770)
-[   ] extrinsic_L4_2  (budget pops=4000 evals=25941 maxopen=21942)
-[   ] extrinsic_L4_3  (budget pops=4000 evals=25895 maxopen=21896)
-[   ] extrinsic_L4_4  (budget pops=4000 evals=25861 maxopen=21862)
-[   ] extrinsic_L4_5  (budget pops=4000 evals=25952 maxopen=21953)
-[   ] extrinsic_L4_6  (budget pops=4000 evals=25879 maxopen=21880)
-[   ] extrinsic_L4_7  (budget pops=4000 evals=26271 maxopen=22272)
-[   ] extrinsic_L4_8  (budget pops=4000 evals=25910 maxopen=21911)
-[   ] extrinsic_L4_9  (budget pops=4000 evals=26151 maxopen=22152)
-[OK ] extrinsic_L4_12  (solved pops=1261 evals=7127 maxopen=5864)
-[   ] extrinsic_L4_10  (budget pops=4000 evals=25478 maxopen=21479)
-[   ] extrinsic_L4_11  (budget pops=4000 evals=26382 maxopen=22383)
-[   ] extrinsic_L4_13  (budget pops=4000 evals=25817 maxopen=21818)
-[   ] extrinsic_L4_14  (budget pops=4000 evals=26299 maxopen=22300)
-[   ] extrinsic_L5_1  (budget pops=4000 evals=26391 maxopen=22392)
-[   ] extrinsic_L5_2  (budget pops=4000 evals=26218 maxopen=22219)
-[   ] extrinsic_L5_3  (budget pops=4000 evals=26210 maxopen=22211)
-[   ] extrinsic_L5_4  (budget pops=4000 evals=26331 maxopen=22332)
-[   ] extrinsic_L5_5  (budget pops=4000 evals=26028 maxopen=22029)
-[   ] extrinsic_L5_6  (budget pops=4000 evals=26112 maxopen=22113)
-[   ] extrinsic_L5_7  (budget pops=4000 evals=26387 maxopen=22388)
-[   ] extrinsic_L5_8  (budget pops=4000 evals=26480 maxopen=22481)
-[   ] extrinsic_L5_9  (budget pops=4000 evals=26331 maxopen=22332)
-[   ] extrinsic_L5_10  (budget pops=4000 evals=26648 maxopen=22649)
-[   ] extrinsic_L6_1  (budget pops=4000 evals=26031 maxopen=22032)
-[   ] extrinsic_L5_11  (budget pops=4000 evals=30991 maxopen=26992)
-[   ] extrinsic_L6_4  (budget pops=4000 evals=30992 maxopen=26993)
-[   ] extrinsic_L6_2  (budget pops=4000 evals=31039 maxopen=27040)
-[   ] extrinsic_L6_3  (budget pops=4000 evals=30994 maxopen=26995)
-[   ] extrinsic_L6_5  (budget pops=4000 evals=31015 maxopen=27016)
-[   ] extrinsic_L6_6  (budget pops=4000 evals=25918 maxopen=21919)
-[   ] extrinsic_L6_7  (budget pops=4000 evals=25846 maxopen=21847)
-[   ] extrinsic_L6_8  (budget pops=4000 evals=31196 maxopen=27197)
-[   ] extrinsic_L6_9  (budget pops=4000 evals=30994 maxopen=26995)
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
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-
-Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/bestfirst_eval/minimo_0pt_base_bf_extrinsic-95.json
-Solved 26/94 in 2773.7s

experiments/learnability/bestfirst_eval/minimo_1pt_base_bf_extrinsic-95.json

@@ -1,1344 +0,0 @@
-{
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experiments/learnability/bestfirst_eval/minimo_1pt_base_bf_extrinsic-95.log

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-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-[OK ] extrinsic_L0_1  (solved pops=2 evals=6 maxopen=3)
-[OK ] extrinsic_L0_3  (solved pops=5 evals=14 maxopen=10)
-[OK ] extrinsic_L0_6  (solved pops=5 evals=14 maxopen=10)
-[OK ] extrinsic_L0_5  (solved pops=9 evals=48 maxopen=40)
-[OK ] extrinsic_L0_4  (solved pops=11 evals=68 maxopen=58)
-[OK ] extrinsic_L0_2  (solved pops=14 evals=76 maxopen=63)
-[OK ] extrinsic_L0_10  (solved pops=4 evals=9 maxopen=6)
-[OK ] extrinsic_L0_8  (solved pops=13 evals=75 maxopen=63)
-[OK ] extrinsic_L0_13  (solved pops=4 evals=10 maxopen=7)
-[OK ] extrinsic_L0_9  (solved pops=11 evals=69 maxopen=43)
-[OK ] extrinsic_L0_7  (solved pops=17 evals=84 maxopen=68)
-[OK ] extrinsic_L0_11  (solved pops=15 evals=76 maxopen=62)
-[OK ] extrinsic_L0_12  (solved pops=14 evals=59 maxopen=29)
-[OK ] extrinsic_L1_4  (solved pops=4 evals=12 maxopen=7)
-[OK ] extrinsic_L1_1  (solved pops=16 evals=97 maxopen=64)
-[OK ] extrinsic_L1_2  (solved pops=26 evals=198 maxopen=154)
-[OK ] extrinsic_L1_3  (solved pops=25 evals=182 maxopen=139)
-[OK ] extrinsic_L0_14  (solved pops=44 evals=285 maxopen=242)
-[OK ] extrinsic_L2_1  (solved pops=66 evals=351 maxopen=286)
-[OK ] extrinsic_L2_7  (solved pops=32 evals=192 maxopen=161)
-[OK ] extrinsic_L2_4  (solved pops=86 evals=567 maxopen=482)
-[OK ] extrinsic_L2_3  (solved pops=104 evals=679 maxopen=576)
-[OK ] extrinsic_L2_9  (solved pops=47 evals=356 maxopen=310)
-[OK ] extrinsic_L2_11  (solved pops=5 evals=13 maxopen=7)
-[OK ] extrinsic_L2_10  (solved pops=46 evals=313 maxopen=268)
-[OK ] extrinsic_L2_6  (solved pops=148 evals=852 maxopen=705)
-[OK ] extrinsic_L2_8  (solved pops=100 evals=597 maxopen=498)
-[OK ] extrinsic_L3_1  (solved pops=61 evals=445 maxopen=385)
-[OK ] extrinsic_L2_12  (solved pops=109 evals=652 maxopen=544)
-[OK ] extrinsic_L3_3  (solved pops=40 evals=266 maxopen=227)
-[OK ] extrinsic_L3_4  (solved pops=82 evals=587 maxopen=485)
-[OK ] extrinsic_L3_5  (solved pops=83 evals=618 maxopen=515)
-[OK ] extrinsic_L2_2  (solved pops=410 evals=2108 maxopen=1699)
-[OK ] extrinsic_L3_2  (solved pops=473 evals=2519 maxopen=2047)
-[OK ] extrinsic_L2_5  (solved pops=795 evals=4382 maxopen=3588)
-[OK ] extrinsic_L3_6  (solved pops=740 evals=4100 maxopen=3361)
-[OK ] extrinsic_L3_11  (solved pops=252 evals=1326 maxopen=1072)
-[OK ] extrinsic_L3_12  (solved pops=217 evals=1157 maxopen=941)
-[OK ] extrinsic_L3_13  (solved pops=30 evals=185 maxopen=156)
-[OK ] extrinsic_L3_14  (solved pops=46 evals=338 maxopen=293)
-[OK ] extrinsic_L3_15  (solved pops=1663 evals=9917 maxopen=8255)
-[OK ] extrinsic_L3_16  (solved pops=181 evals=979 maxopen=799)
-[   ] extrinsic_L2_13  (budget pops=4000 evals=25210 maxopen=21211)
-[   ] extrinsic_L3_7  (budget pops=4000 evals=24794 maxopen=20795)
-[OK ] extrinsic_L3_18  (solved pops=592 evals=3428 maxopen=2816)
-[OK ] extrinsic_L3_17  (solved pops=1359 evals=8178 maxopen=6801)
-[   ] extrinsic_L3_8  (budget pops=4000 evals=28200 maxopen=24201)
-[   ] extrinsic_L3_9  (budget pops=4000 evals=25416 maxopen=21417)
-[   ] extrinsic_L3_10  (budget pops=4000 evals=26882 maxopen=22883)
-[OK ] extrinsic_L3_23  (solved pops=477 evals=2990 maxopen=2514)
-[OK ] extrinsic_L3_25  (solved pops=495 evals=2874 maxopen=2360)
-[   ] extrinsic_L3_19  (budget pops=4000 evals=23887 maxopen=19888)
-[   ] extrinsic_L3_24  (budget pops=4000 evals=27030 maxopen=23031)
-[   ] extrinsic_L3_20  (budget pops=4000 evals=25074 maxopen=21075)
-[   ] extrinsic_L3_21  (budget pops=4000 evals=24618 maxopen=20619)
-[   ] extrinsic_L3_22  (budget pops=4000 evals=24240 maxopen=20241)
-[   ] extrinsic_L3_26  (budget pops=4000 evals=28211 maxopen=24212)
-[OK ] extrinsic_L4_3  (solved pops=989 evals=5608 maxopen=4620)
-[   ] extrinsic_L4_1  (budget pops=4000 evals=26839 maxopen=22840)
-[OK ] extrinsic_L4_2  (solved pops=3886 evals=32218 maxopen=28333)
-[   ] extrinsic_L3_27  (budget pops=4000 evals=26923 maxopen=22924)
-[   ] extrinsic_L3_28  (budget pops=4000 evals=26199 maxopen=22200)
-[   ] extrinsic_L4_4  (budget pops=4000 evals=28098 maxopen=24099)
-[   ] extrinsic_L3_29  (budget pops=4000 evals=33376 maxopen=29377)
-[   ] extrinsic_L4_5  (budget pops=4000 evals=29691 maxopen=25692)
-[   ] extrinsic_L4_6  (budget pops=4000 evals=28385 maxopen=24386)
-[OK ] extrinsic_L4_12  (solved pops=139 evals=808 maxopen=667)
-[   ] extrinsic_L4_7  (budget pops=4000 evals=24224 maxopen=20225)
-[   ] extrinsic_L4_8  (budget pops=4000 evals=27966 maxopen=23967)
-[   ] extrinsic_L4_9  (budget pops=4000 evals=24187 maxopen=20188)
-[   ] extrinsic_L4_10  (budget pops=4000 evals=28454 maxopen=24455)
-[   ] extrinsic_L4_13  (budget pops=4000 evals=27712 maxopen=23713)
-[   ] extrinsic_L4_11  (budget pops=4000 evals=32557 maxopen=28558)
-[   ] extrinsic_L4_14  (budget pops=4000 evals=27657 maxopen=23658)
-[   ] extrinsic_L5_1  (budget pops=4000 evals=30373 maxopen=26374)
-[   ] extrinsic_L5_2  (budget pops=4000 evals=29841 maxopen=25842)
-[   ] extrinsic_L5_3  (budget pops=4000 evals=30605 maxopen=26606)
-[   ] extrinsic_L5_6  (budget pops=4000 evals=23774 maxopen=19775)
-[   ] extrinsic_L5_5  (budget pops=4000 evals=30765 maxopen=26766)
-[   ] extrinsic_L5_4  (budget pops=4000 evals=30439 maxopen=26440)
-[OK ] extrinsic_L6_1  (solved pops=344 evals=1958 maxopen=1615)
-[   ] extrinsic_L5_7  (budget pops=4000 evals=30080 maxopen=26081)
-[   ] extrinsic_L5_11  (budget pops=4000 evals=30864 maxopen=26865)
-[   ] extrinsic_L5_8  (budget pops=4000 evals=31602 maxopen=27603)
-[   ] extrinsic_L5_9  (budget pops=4000 evals=30833 maxopen=26834)
-[   ] extrinsic_L5_10  (budget pops=4000 evals=33105 maxopen=29106)
-[   ] extrinsic_L6_2  (budget pops=4000 evals=29263 maxopen=25264)
-[   ] extrinsic_L6_3  (budget pops=4000 evals=27721 maxopen=23722)
-[   ] extrinsic_L6_4  (budget pops=4000 evals=27734 maxopen=23735)
-[   ] extrinsic_L6_5  (budget pops=4000 evals=28157 maxopen=24158)
-[   ] extrinsic_L6_6  (budget pops=4000 evals=25708 maxopen=21709)
-[   ] extrinsic_L6_7  (budget pops=4000 evals=24357 maxopen=20358)
-[   ] extrinsic_L6_9  (budget pops=4000 evals=24500 maxopen=20501)
-[   ] extrinsic_L6_8  (budget pops=4000 evals=25221 maxopen=21222)
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
-L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
-L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
-L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
-L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
-L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
-L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
-L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
-L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
-L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
-L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
-L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
-L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
-L0_1 [('A : prop) -> ['A -> 'A]]
-L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
-L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
-L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
-L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
-L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
-L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
-L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
-L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
-L0_10 [false -> ('A : prop) -> 'A]
-L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
-L0_12 [('A : prop) -> (or 'A (not 'A))]
-L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
-L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
-L1_1 [('A : prop) -> 'A -> (not (not 'A))]
-L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
-L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
-L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
-L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
-L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
-L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
-L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
-L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
-L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
-L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
-L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
-L2_9 [('A : prop) -> (iff (and 'A false) false)]
-L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
-L2_11 [('A : prop) -> (iff 'A 'A)]
-L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
-L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
-L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
-L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
-L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
-L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
-L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
-L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
-L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
-L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
-L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
-L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
-L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
-L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
-L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
-L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
-L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
-L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
-L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
-L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
-L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
-L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
-L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
-L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
-L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
-L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
-L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
-L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
-L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
-L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
-L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
-L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
-L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
-L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
-L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
-L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
-L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
-L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
-L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
-L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
-L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
-L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
-L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
-L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
-L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
-L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
-L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
-L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
-L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
-L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
-L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
-L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
-L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
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-
-Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/bestfirst_eval/minimo_1pt_base_bf_extrinsic-95.json
-Solved 50/94 in 2150.7s

experiments/learnability/bestfirst_eval_gold/eval_driver.log

@@ -1,62 +0,0 @@
-[2026-06-29 17:15:58] ===== START: 20 gold best-first evals (max_pops=4000 timeout=600s) on GPUs 0 1 2 3 =====
-[2026-06-29 17:15:58] EVAL [0/20] final/gold_0pt/s42/2026-06-29_07-09-16 -> gpu 0
-[2026-06-29 17:15:58] EVAL [1/20] final/gold_0pt/s43/2026-06-29_07-09-16 -> gpu 1
-[2026-06-29 17:15:58] EVAL [2/20] final/gold_0pt/s44/2026-06-29_07-09-16 -> gpu 2
-[2026-06-29 17:15:58] EVAL [3/20] final/gold_0pt/s45/2026-06-29_07-09-27 -> gpu 3
-[2026-06-29 18:01:44] EVAL DONE final/gold_0pt/s44/2026-06-29_07-09-16
-[2026-06-29 18:01:50] EVAL DONE final/gold_0pt/s45/2026-06-29_07-09-27
-[2026-06-29 18:01:56] EVAL DONE final/gold_0pt/s43/2026-06-29_07-09-16
-[2026-06-29 18:02:13] EVAL DONE final/gold_0pt/s42/2026-06-29_07-09-16
-[2026-06-29 18:02:13] EVAL [4/20] final/gold_0pt/s46/2026-06-29_07-09-27 -> gpu 0
-[2026-06-29 18:02:13] EVAL [5/20] final/gold_1pt/s42/2026-06-29_07-09-27 -> gpu 1
-[2026-06-29 18:02:13] EVAL [6/20] final/gold_1pt/s43/2026-06-29_07-09-43 -> gpu 2
-[2026-06-29 18:02:13] EVAL [7/20] final/gold_1pt/s44/2026-06-29_07-09-43 -> gpu 3
-[2026-06-29 18:44:56] EVAL DONE final/gold_1pt/s44/2026-06-29_07-09-43
-[2026-06-29 18:46:19] EVAL DONE final/gold_1pt/s43/2026-06-29_07-09-43
-[2026-06-29 18:47:32] EVAL DONE final/gold_1pt/s42/2026-06-29_07-09-27
-[2026-06-29 18:48:39] EVAL DONE final/gold_0pt/s46/2026-06-29_07-09-27
-[2026-06-29 18:48:39] EVAL [8/20] final/gold_1pt/s45/2026-06-29_07-09-43 -> gpu 0
-[2026-06-29 18:48:39] EVAL [9/20] final/gold_1pt/s46/2026-06-29_07-10-05 -> gpu 1
-[2026-06-29 18:48:39] EVAL [10/20] mid/gold_0pt/s42/2026-06-29_07-09-16 -> gpu 2
-[2026-06-29 18:48:39] EVAL [11/20] mid/gold_0pt/s43/2026-06-29_07-09-16 -> gpu 3
-[2026-06-29 19:32:23] EVAL DONE final/gold_1pt/s45/2026-06-29_07-09-43
-[2026-06-29 19:34:20] EVAL DONE mid/gold_0pt/s42/2026-06-29_07-09-16
-[2026-06-29 19:34:22] EVAL DONE mid/gold_0pt/s43/2026-06-29_07-09-16
-[2026-06-29 19:34:59] EVAL DONE final/gold_1pt/s46/2026-06-29_07-10-05
-[2026-06-29 19:34:59] EVAL [12/20] mid/gold_0pt/s44/2026-06-29_07-09-16 -> gpu 0
-[2026-06-29 19:34:59] EVAL [13/20] mid/gold_0pt/s45/2026-06-29_07-09-27 -> gpu 1
-[2026-06-29 19:34:59] EVAL [14/20] mid/gold_0pt/s46/2026-06-29_07-09-27 -> gpu 2
-[2026-06-29 19:34:59] EVAL [15/20] mid/gold_1pt/s42/2026-06-29_07-09-27 -> gpu 3
-[2026-06-29 20:09:44] EVAL DONE mid/gold_1pt/s42/2026-06-29_07-09-27
-[2026-06-29 20:20:36] EVAL DONE mid/gold_0pt/s46/2026-06-29_07-09-27
-[2026-06-29 20:20:45] EVAL DONE mid/gold_0pt/s45/2026-06-29_07-09-27
-[2026-06-29 20:21:13] EVAL DONE mid/gold_0pt/s44/2026-06-29_07-09-16
-[2026-06-29 20:21:13] EVAL [16/20] mid/gold_1pt/s43/2026-06-29_07-09-43 -> gpu 0
-[2026-06-29 20:21:13] EVAL [17/20] mid/gold_1pt/s44/2026-06-29_07-09-43 -> gpu 1
-[2026-06-29 20:21:13] EVAL [18/20] mid/gold_1pt/s45/2026-06-29_07-09-43 -> gpu 2
-[2026-06-29 20:21:13] EVAL [19/20] mid/gold_1pt/s46/2026-06-29_07-10-05 -> gpu 3
-[2026-06-29 20:55:08] EVAL DONE mid/gold_1pt/s45/2026-06-29_07-09-43
-[2026-06-29 20:56:18] EVAL DONE mid/gold_1pt/s46/2026-06-29_07-10-05
-[2026-06-29 20:56:31] EVAL DONE mid/gold_1pt/s43/2026-06-29_07-09-43
-[2026-06-29 20:56:43] EVAL DONE mid/gold_1pt/s44/2026-06-29_07-09-43
-[2026-06-29 20:56:43] --- All gold best-first evals complete ---
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experiments/learnability/bestfirst_search.py

@@ -1,255 +0,0 @@
-#!/usr/bin/env python3
-"""Value-free best-first proof search.
-
-A minimal, value-net-free searcher that uses ONLY the learned policy
-(P(Y | state, action)) to rank a frontier of open proof states. No MCTS,
-no UCT, no backpropagation, no value function. It is the deterministic
-sibling of `rollout_search.py`: instead of sampling independent rollouts,
-it keeps one global priority queue of partial proofs and always expands the
-most promising one.
-
-Design (agreed in design discussion):
-  * An *item* is one full proof state = a list of open subgoals (leftmost
-    first) plus a cumulative priority g = sum_i log pi(a_i), where
-    pi(a|s) = score_a / sum score is the policy distribution over the focused
-    subgoal's legal actions. All subgoals spawned by one action share one item
-    priority; conjunctions (AND) are handled automatically because an item is
-    solved exactly when its subgoal list is empty.
-  * To score actions we wrap the *focused* (leftmost) subgoal as a single-goal
-    `HolophrasmNode([ps])` -- identical to the rollout searcher -- so both the
-    state string and action strings stay in-distribution.
-  * One pop = one budget unit. We pop the max-g item, score its focused
-    subgoal's legal actions, and push one child per action (subgoals =
-    spawned + rest[1:]). Trivially dead items (no legal actions) are dropped;
-    there is no backtracking, we just pop the next best item.
-
-Budget knob: `--max-pops` (default 4000, mirrors MCTS max_mcts_nodes).
-`--timeout` is a per-problem wall-clock cap shared with the search. `evals`
-is reported as a cost meter (sum of |legal| scored across pops).
-"""
-
-import argparse
-import heapq
-import itertools
-import json
-import multiprocessing
-import os
-import time
-from concurrent.futures import ProcessPoolExecutor, as_completed
-from dataclasses import dataclass, asdict, field
-
-import numpy as np
-import torch
-
-import peano
-import problems
-from proofsearch import HolophrasmNode
-from rollout_search import load_policy_lm
-
-
-# ----------------------------------------------------------------------------
-# A single best-first search for one problem
-# ----------------------------------------------------------------------------
-
-@dataclass
-class BestFirstTrace:
-    solved: bool
-    outcome: str                    # "solved" | "exhausted" | "budget" | "timeout"
-    pops_used: int                  # number of items expanded (budget meter)
-    evals_used: int                 # total policy action-evaluations (cost meter)
-    max_open: int                   # max frontier size
-    solution_actions: list = field(default_factory=list)
-
-
-def best_first(lm,
-               initial_state,
-               max_pops: int,
-               max_actions: int = 0,
-               deadline: float | None = None) -> BestFirstTrace:
-    """Run best-first search from `initial_state` (a peano.PyProofState).
-
-    Items are (g, tiebreak, subgoals, actions_so_far). The heap is a min-heap
-    on -g so the largest cumulative log-prob is popped first. `max_actions`
-    (> 0) drops any state whose legal-action set blows up past the cap.
-    """
-    counter = itertools.count()
-    # frontier: min-heap of (-g, tiebreak, subgoals_tuple, actions)
-    frontier = [(-0.0, next(counter), (initial_state,), [])]
-    pops = 0
-    evals = 0
-    max_open = 1
-
-    while frontier:
-        if deadline is not None and time.time() > deadline:
-            return BestFirstTrace(False, "timeout", pops, evals, max_open)
-        if pops >= max_pops:
-            return BestFirstTrace(False, "budget", pops, evals, max_open)
-
-        neg_g, _, subgoals, acts = heapq.heappop(frontier)
-        g = -neg_g
-        pops += 1
-
-        # Focus the leftmost subgoal; wrap alone so policy sees in-dist text.
-        node = HolophrasmNode([subgoals[0]])
-        try:
-            legal = node.actions
-        except BaseException:
-            continue                          # latent prover panic -> dead
-        if not legal:
-            continue                          # dead end, no backtrack
-
-        if max_actions and len(legal) > max_actions:
-            continue                          # context-bloat: abandon item
-
-        state_str = str(node)
-        action_strs = [str(a) for a in legal]
-        scores = np.clip(np.asarray(lm.estimate_state_action_values(state_str, action_strs),
-                                    dtype=np.float64), 1e-12, None)
-        evals += len(legal)
-        logpi = np.log(scores) - np.log(scores.sum())   # log normalized prior
-
-        for i, action in enumerate(legal):
-            try:
-                child = node.expand(action)
-            except BaseException:
-                continue
-            spawned = list(child._proof_states)
-            new_subgoals = spawned + list(subgoals[1:])
-            new_acts = acts + [action_strs[i]]
-            if not new_subgoals:
-                return BestFirstTrace(True, "solved", pops, evals, max_open, new_acts)
-            heapq.heappush(frontier,
-                           (-(g + logpi[i]), next(counter),
-                            tuple(new_subgoals), new_acts))
-        max_open = max(max_open, len(frontier))
-
-    return BestFirstTrace(False, "exhausted", pops, evals, max_open)
-
-
-def _summarize(tr: BestFirstTrace) -> dict:
-    return {
-        "solved": tr.solved,
-        "outcome": tr.outcome,
-        "pops_used": tr.pops_used,
-        "evals_used": tr.evals_used,
-        "max_open": tr.max_open,
-        "solution_actions": tr.solution_actions if tr.solved else None,
-    }
-
-
-# ----------------------------------------------------------------------------
-# Parallel workers (shared visible GPU; one LM load per process)
-# ----------------------------------------------------------------------------
-
-_WORKER: dict = {}
-
-
-def _worker_init(agent_path, problemset_id, max_pops, max_actions, timeout):
-    _WORKER["lm"] = load_policy_lm(agent_path)
-    _WORKER["problemset"] = problems.load_problemset(problemset_id)
-    _WORKER["max_pops"] = max_pops
-    _WORKER["max_actions"] = max_actions
-    _WORKER["timeout"] = timeout
-
-
-def _worker_solve(name: str) -> dict:
-    w = _WORKER
-    state = w["problemset"].initialize_problem(name)
-    deadline = (time.time() + w["timeout"]) if w["timeout"] and w["timeout"] > 0 else None
-    tr = best_first(w["lm"], state, max_pops=w["max_pops"],
-                    max_actions=w["max_actions"], deadline=deadline)
-    rec = _summarize(tr)
-    rec["problem"] = name
-    return rec
-
-
-def _print_result(rec: dict):
-    flag = "OK " if rec["solved"] else "   "
-    print(f"[{flag}] {rec['problem']}  ({rec['outcome']} pops={rec['pops_used']} "
-          f"evals={rec['evals_used']} maxopen={rec['max_open']})", flush=True)
-
-
-def run(agent_path, problemset_id, max_pops, max_actions, timeout,
-        output, single=None, workers=1):
-    problemset = problems.load_problemset(problemset_id)
-    names = problemset.problem_names()
-    if single is not None:
-        names = [single]
-
-    t0 = time.time()
-
-    if workers > 1 and single is None:
-        ctx = multiprocessing.get_context("spawn")
-        by_name: dict[str, dict] = {}
-        with ProcessPoolExecutor(max_workers=workers, mp_context=ctx,
-                                 initializer=_worker_init,
-                                 initargs=(agent_path, problemset_id, max_pops,
-                                           max_actions, timeout)) as ex:
-            futures = {ex.submit(_worker_solve, name): name for name in names}
-            for fut in as_completed(futures):
-                rec = fut.result()
-                by_name[rec["problem"]] = rec
-                _print_result(rec)
-        results = [by_name[name] for name in names]
-    else:
-        lm = load_policy_lm(agent_path)
-        results = []
-        for name in names:
-            state = problemset.initialize_problem(name)
-            deadline = (time.time() + timeout) if timeout and timeout > 0 else None
-            tr = best_first(lm, state, max_pops=max_pops, max_actions=max_actions,
-                            deadline=deadline)
-            rec = _summarize(tr)
-            rec["problem"] = name
-            results.append(rec)
-            _print_result(rec)
-
-    n_solved = sum(int(rec["solved"]) for rec in results)
-    elapsed = time.time() - t0
-    summary = {
-        "agent_path": agent_path,
-        "problemset": problemset_id,
-        "max_pops": max_pops,
-        "max_actions": max_actions,
-        "timeout": timeout,
-        "workers": workers,
-        "num_problems": len(names),
-        "num_solved": n_solved,
-        "elapsed_sec": elapsed,
-        "results": results,
-    }
-
-    if output:
-        os.makedirs(os.path.dirname(os.path.abspath(output)), exist_ok=True)
-        with open(output, "w") as f:
-            json.dump(summary, f, indent=2)
-        print(f"\nWrote {output}")
-
-    print(f"Solved {n_solved}/{len(names)} in {elapsed:.1f}s")
-    return summary
-
-
-def main():
-    p = argparse.ArgumentParser(description="Value-free best-first proof search.")
-    p.add_argument("--agent", required=True, help="Path to agent/policy .pt checkpoint.")
-    p.add_argument("--problemset", required=True, help="Problem set id.")
-    p.add_argument("--max-pops", type=int, default=4000,
-                   help="Budget: number of items expanded (mirrors MCTS max_mcts_nodes).")
-    p.add_argument("--max-actions", type=int, default=0,
-                   help="Abandon a state whose legal-action set exceeds this size (0 = no cap).")
-    p.add_argument("--timeout", type=float, default=0.0,
-                   help="Per-problem wall-clock budget in seconds (0 = none).")
-    p.add_argument("--workers", type=int, default=1,
-                   help="Worker processes sharing the visible GPU (1 = sequential).")
-    p.add_argument("--output", default="", help="Path to write JSON results.")
-    p.add_argument("--single", default=None, help="Run a single problem by name.")
-    args = p.parse_args()
-
-    run(agent_path=args.agent, problemset_id=args.problemset,
-        max_pops=args.max_pops, max_actions=args.max_actions,
-        timeout=args.timeout, output=args.output, single=args.single,
-        workers=args.workers)
-
-
-if __name__ == "__main__":
-    main()

experiments/learnability/bootstrap.py

@@ -1,348 +0,0 @@
-#!/usr/bin/env python3
-
-"""Implements the conjecture-prove bootstrapping learning loop."""
-
-import asyncio
-import os
-import json
-import datetime
-from pathlib import Path
-
-import hydra
-from omegaconf import DictConfig
-import torch
-import numpy as np
-from tqdm import tqdm
-
-import peano
-import worker
-from worker import StudentResult  # noqa
-from hindsight import HindsightExample  # noqa
-from util import format_blocks_with_indent, sample_batch, setup_wandb, value_color, save_json
-from conjecture import AgentLM, Context, sample_conjecture
-from proofsearch import make_agent
-
-
-def load_fixed_statements(path: str) -> list[str]:
-    """Parse a benchmark file with 'name. statement' lines into a list of statements."""
-    stmts = []
-    for line in Path(path).read_text().splitlines():
-        line = line.strip()
-        if not line:
-            continue
-        if "." in line:
-            _, stmt = line.split(".", 1)
-            stmt = stmt.strip()
-        else:
-            stmt = line
-        stmts.append(stmt)
-    return stmts
-
-
-def now() -> str:
-    return '[' + datetime.datetime.now().isoformat() + ']'
-
-
-FAIL = "fail"
-
-
-def _get_logprob(student_result, normalize):
-    """Return logprob, optionally normalized by proof length."""
-    lp = student_result.logprob
-    if normalize and lp is not None and student_result.solution_actions:
-        lp = lp / max(len(student_result.solution_actions), 1)
-    return lp
-
-
-DISTRIBUTED = os.environ.get('DISTRIBUTED', False)
-
-
-def submit_task(agent_path: str, theory: worker.BackgroundTheory, statement: str, timeout: float = None):
-    if DISTRIBUTED:
-        return worker.try_prove.apply_async(args=(agent_path, theory, statement),
-                                            kwargs={'timeout': timeout})
-    else:
-        return worker.try_prove.run(agent_path, theory, statement, timeout=timeout)
-
-
-def get_task_result(task, timeout=None):
-    if DISTRIBUTED:
-        return task.get(timeout=timeout)
-    else:
-        return task
-
-
-async def teacher_loop(cfg: DictConfig):
-    print('Running in', 'distributed mode.' if DISTRIBUTED else 'single-process mode.')
-
-    agent = make_agent(cfg)
-
-    with open(os.path.join(os.path.dirname(__file__), 'theories', cfg.theory.name + '.p')) as f:
-        theory = f.read()
-
-    difficulty_buckets = sorted([list(cfg.difficulty_buckets[i].items())[0]
-                                 for i in range(len(cfg.difficulty_buckets))],
-                                key=lambda kv: kv[1])
-
-    premises = cfg.theory.premises
-
-    d = peano.PyDerivation()
-    d.incorporate(theory)
-    proven_conjectures = []
-    seen_hindsight_goals = set()
-    proofs = []
-    outcomes = []
-
-    continue_dir = cfg.get('continue')
-    start_iteration = 0
-
-    if continue_dir is not None:
-        os.chdir(continue_dir)
-        print('Continuing run from', continue_dir)
-        # Find largest iteration number such that i.pt exists.
-        i = 0
-        while os.path.exists(f'{i}.pt'):
-            i += 1
-        i -= 1
-        start_iteration = i
-        agent = torch.load(f'{i}.pt', weights_only=False)
-        print('Loaded agent from', f'{i}.pt')
-        # Load examples and outcomes.
-        if i > 0:
-            with open(f'outcomes_{i-1}.json', 'r') as f:
-                outcomes = json.load(f)
-                proven_conjectures = [o['problem'] for o in outcomes
-                                      if o['hindsight'] is False and
-                                         o['proof'] is not None]
-                seen_hindsight_goals = {o['problem'] for o in outcomes
-                                        if o['hindsight'] and o['proof'] is not None}
-
-        print('Loaded', len(proven_conjectures), 'proven conjectures from previous run.')
-
-
-    if cfg.get('freeze_conjecturer', False):
-        print('Ablation: Freezing conjecturer.')
-
-
-    with open('log.jsonl', 'w') as log:
-        for i in range(start_iteration, cfg.iterations):
-            torch.save(agent, f'{i}.pt')
-
-            fixed_path = cfg.get('fixed_statements_path', None)
-
-            if fixed_path is not None:
-                conjectures = load_fixed_statements(fixed_path)
-                print(now(), f'Iteration #{i}: using {len(conjectures)} fixed benchmark problems.')
-            else:
-                context = Context(d, None, [])
-                # 1- Run conjecturing model to obtain N conjectures.
-                print(now(), f'Iteration #{i}: making conjectures...')
-
-                progress_bar = tqdm(total=cfg.n_conjectures)
-
-                conjectures = []
-
-                while len(conjectures) < cfg.n_conjectures:
-                    proposal = sample_conjecture(AgentLM(agent, 'Conj:(hard) '), context)
-
-                    if proposal and proposal not in conjectures + proven_conjectures:
-                        # Contract conjectures to make them Peano-parseable.
-                        contracted_proposal = d.contract(proposal)
-                        if contracted_proposal not in conjectures + proven_conjectures:
-                            conjectures.append(contracted_proposal)
-                            progress_bar.update(1)
-
-                progress_bar.close()
-
-
-            print(now(), 'done, have', len(conjectures), 'conjectures')
-            print(conjectures)
-
-            log.write(json.dumps({'iteration': i,
-                                  'msg': f'It #{i}: posing {len(conjectures)} conjectures.',
-                                  'conjectures': conjectures}))
-            log.write('\n')
-            log.flush()
-
-            # 2- Try to prove each of the conjectures
-            tasks = []
-
-            # Reuse the checkpoint already saved above.
-            agent_path = os.path.abspath(f'{i}.pt')
-
-            proof_search_timeout = cfg.get('proof_search_timeout', None)
-            if proof_search_timeout:
-                print(f'Proof search timeout: {proof_search_timeout}s')
-
-            print('Submitting tasks...')
-            for conjecture in tqdm(conjectures, miniters=1):
-                tasks.append(submit_task(
-                    agent_path,
-                    worker.BackgroundTheory(theory, premises),
-                    conjecture,
-                    timeout=proof_search_timeout))
-
-            # 3- Train model on proofs and outcome of conjectures (easy, hard, timeout)
-            examples = []
-            student_results = []
-
-            inactivity_timeout = (proof_search_timeout + 60) if proof_search_timeout else 660
-            print('Collecting', len(tasks), f'results from workers (inactivity timeout: {inactivity_timeout}s).')
-
-            if DISTRIBUTED:
-                import time as _time
-                pending = set(range(len(tasks)))
-                last_result_time = _time.time()
-                progress_bar = tqdm(total=len(tasks), miniters=1)
-
-                while pending and (_time.time() - last_result_time) < inactivity_timeout:
-                    for idx in list(pending):
-                        if tasks[idx].ready():
-                            pending.discard(idx)
-                            progress_bar.update(1)
-                            last_result_time = _time.time()
-                            try:
-                                student_result = tasks[idx].get(timeout=5)
-                                if student_result.error:
-                                    print('Error in prover process!')
-                                    print(student_result.error)
-                                    continue
-                                student_results.append(student_result)
-                            except Exception as e:
-                                print(f'Failed to get result for task {idx}: {e}')
-                    _time.sleep(1)
-
-                progress_bar.close()
-                if pending:
-                    print(f'Collection stopped after {inactivity_timeout}s of inactivity.')
-                    print(f'Got {len(student_results)} results out of {len(tasks)} tasks.')
-            else:
-                for task in tqdm(tasks, miniters=1):
-                    student_result = get_task_result(task)
-                    if student_result.error:
-                        print('Error in prover process!')
-                        print(student_result.error)
-                        continue
-                    student_results.append(student_result)
-
-            success_logprobs = []
-            n_timeouts = 0
-            normalize_lp = cfg.get('normalize_logprob', False)
-
-            # 3a- Look at all the success logprobs and compute the easy/hard threhsold.
-            for student_result in student_results:
-                if student_result.success:
-                    success_logprobs.append(_get_logprob(student_result, normalize_lp))
-
-                if getattr(student_result, 'timed_out', False):
-                    n_timeouts += 1
-
-                outcomes.append({'iteration': i,
-                                 'problem': student_result.problem,
-                                 'proof': student_result.proof,
-                                 'logprob': student_result.logprob,
-                                 'actions': student_result.solution_actions,
-                                 'hindsight': False,
-                                 'timed_out': getattr(student_result, 'timed_out', False),
-                                 'proof_features': getattr(student_result, 'proof_features', None),
-                                 })
-
-                for h in student_result.hindsight_examples:
-                    outcomes.append({'iteration': i,
-                                     'problem': h.statement,
-                                     'proof': h.proof,
-                                     'logprob': h.logprob,
-                                     'actions': h.solution_actions,
-                                     'hindsight': True
-                                     })
-
-            if not success_logprobs:
-                print(f'No solutions found in iteration {i} - stopping learning loop...')
-                break
-
-            print(f'Iteration #{i}: {len(success_logprobs)} solved, {n_timeouts} timed out, '
-                  f'{len(student_results) - len(success_logprobs) - n_timeouts} failed.')
-
-            thresholds = [np.percentile(success_logprobs, p)
-                          for _, p in difficulty_buckets]
-
-            print('Thresholds:',
-                  list(zip([k for k, _ in difficulty_buckets], thresholds)),
-                  'min =', np.min(success_logprobs),
-                  'max =', np.max(success_logprobs))
-
-            # 3b- Classify problems into easy/hard.
-            for student_result in student_results:
-                # Outcome is the name of the first difficulty bucket that is larger than the logprob.
-                if student_result.success:
-                    lp = _get_logprob(student_result, normalize_lp)
-                    outcome = next(k
-                                   for i, (k, _) in enumerate(difficulty_buckets)
-                                   if (lp <= thresholds[i] or
-                                       i + 1 == len(difficulty_buckets)))
-                else:
-                    outcome = FAIL
-
-                if not cfg.get('freeze_conjecturer', False):
-                    examples.append(f'Conj:({outcome}) ' + d.elaborate(student_result.problem))
-
-                if student_result.success:
-                    proven_conjectures.append(student_result.problem)
-                    proofs.append(student_result.proof)
-
-                examples.extend(student_result.extracted_examples)
-
-                if cfg.train_policy_on_hindsight_examples:
-                    for h in student_result.hindsight_examples:
-                        if h.goal not in seen_hindsight_goals:
-                            h_lp = h.logprob
-                            if normalize_lp and h.solution_actions:
-                                h_lp = h_lp / max(len(h.solution_actions), 1)
-                            outcome = next(k
-                                           for i, (k, _) in enumerate(difficulty_buckets)
-                                           if h_lp <= thresholds[i] or i + 1 == len(difficulty_buckets))
-
-                            if not cfg.get('freeze_conjecturer', False):
-                                examples.append(f'Conj:({outcome}) ' + d.elaborate(student_result.problem))
-                            examples.extend(h.examples)
-                            seen_hindsight_goals.add(h.goal)
-
-            log.write(json.dumps({'iteration': i,
-                                  'msg': f'Training on {len(examples)} examples.'}))
-            log.write('\n')
-
-            # 3c- Train model on conjecturing and proof search examples.
-            if i + 1 < cfg.iterations:
-                print(len(examples), 'accumulated training examples.')
-                agent.train(examples)
-
-            save_json(examples, f'examples_{i}.json')
-            save_json(outcomes, f'outcomes_{i}.json')
-            torch.save(student_results, f'results_{i}.json')
-
-
-@hydra.main(version_base="1.2", config_path="config", config_name="bootstrap")
-def main(cfg: DictConfig):
-    print('Running from:', os.getcwd())
-    setup_wandb(cfg)
-    if cfg.task == 'teacher':
-        asyncio.run(teacher_loop(cfg))
-
-if __name__ == '__main__':
-    main()
-
-#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_NoHER
-#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_nat_mul
-#CUDA_VISIBLE_DEVICES=0 celery -A worker.app worker --loglevel=info --concurrency=5 -n gpu0@%h
-#CUDA_VISIBLE_DEVICES=1 celery -A worker.app worker --loglevel=info --concurrency=5 -n gpu1@%h
-#CUDA_VISIBLE_DEVICES=2 celery -A worker.app worker --loglevel=info --concurrency=5 -n gpu2@%h
-#CUDA_VISIBLE_DEVICES=3 celery -A worker.app worker --loglevel=info --concurrency=5 -n gpu3@%h
-#redis-server --port 6379
-#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_800_moreupdates.yaml
-#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_nat_mul_800.yaml
-
-#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_fixed_benchmark +agent_path=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/2.pt
-
-#ç
-#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_fixed_benchmark +agent_path=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_fixed_bench_noHER/2026-03-19_18-44-53/9.pt
-#DISTRIBUTED=1 python bootstrap.py --config-name bootstrap_nat_mul_800

experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/.hydra/config.yaml

@@ -1,44 +0,0 @@
-task: teacher
-iterations: 5
-n_conjectures: 800
-difficulty_buckets:
-- hard: 20
-- easy: 50
-- triv: 100
-train_policy_on_hindsight_examples: true
-freeze_conjecturer: false
-proof_search_timeout: 600
-job:
-  wandb_project: peano
-agent:
-  type: mcts
-  node_type: holophrasm
-  max_mcts_nodes: 1000
-  expansions: 1000
-  max_searches: 1
-  max_examples: 1000
-  policy:
-    type: LM
-    lr: 0.0001
-    value_prior_weight: 10
-    max_pos_neg_ratio: 5
-    train_iterations: 2000
-    batch_size: 10000
-  curiosity:
-    type: constant
-theory:
-  name: propositional-logic
-  premises:
-  - and_i
-  - and_el
-  - and_er
-  - or_il
-  - or_ir
-  - or_e
-  - not_i
-  - not_e
-  - exfalso
-  - iff_i
-  - iff_el
-  - iff_er
-  - em

experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/.hydra/hydra.yaml

@@ -1,157 +0,0 @@
-hydra:
-  run:
-    dir: /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/${now:%Y-%m-%d_%H-%M-%S}
-  sweep:
-    dir: multirun/${now:%Y-%m-%d}/${now:%H-%M-%S}
-    subdir: ${hydra.job.num}
-  launcher:
-    _target_: hydra._internal.core_plugins.basic_launcher.BasicLauncher
-  sweeper:
-    _target_: hydra._internal.core_plugins.basic_sweeper.BasicSweeper
-    max_batch_size: null
-    params: null
-  help:
-    app_name: ${hydra.job.name}
-    header: '${hydra.help.app_name} is powered by Hydra.
-
-      '
-    footer: 'Powered by Hydra (https://hydra.cc)
-
-      Use --hydra-help to view Hydra specific help
-
-      '
-    template: '${hydra.help.header}
-
-      == Configuration groups ==
-
-      Compose your configuration from those groups (group=option)
-
-
-      $APP_CONFIG_GROUPS
-
-
-      == Config ==
-
-      Override anything in the config (foo.bar=value)
-
-
-      $CONFIG
-
-
-      ${hydra.help.footer}
-
-      '
-  hydra_help:
-    template: 'Hydra (${hydra.runtime.version})
-
-      See https://hydra.cc for more info.
-
-
-      == Flags ==
-
-      $FLAGS_HELP
-
-
-      == Configuration groups ==
-
-      Compose your configuration from those groups (For example, append hydra/job_logging=disabled
-      to command line)
-
-
-      $HYDRA_CONFIG_GROUPS
-
-
-      Use ''--cfg hydra'' to Show the Hydra config.
-
-      '
-    hydra_help: ???
-  hydra_logging:
-    version: 1
-    formatters:
-      simple:
-        format: '[%(asctime)s][HYDRA] %(message)s'
-    handlers:
-      console:
-        class: logging.StreamHandler
-        formatter: simple
-        stream: ext://sys.stdout
-    root:
-      level: INFO
-      handlers:
-      - console
-    loggers:
-      logging_example:
-        level: DEBUG
-    disable_existing_loggers: false
-  job_logging:
-    version: 1
-    formatters:
-      simple:
-        format: '[%(asctime)s][%(name)s][%(levelname)s] - %(message)s'
-    handlers:
-      console:
-        class: logging.StreamHandler
-        formatter: simple
-        stream: ext://sys.stdout
-      file:
-        class: logging.FileHandler
-        formatter: simple
-        filename: ${hydra.runtime.output_dir}/${hydra.job.name}.log
-    root:
-      level: INFO
-      handlers:
-      - console
-      - file
-    disable_existing_loggers: false
-  env: {}
-  mode: RUN
-  searchpath: []
-  callbacks: {}
-  output_subdir: .hydra
-  overrides:
-    hydra:
-    - hydra.mode=RUN
-    task: []
-  job:
-    name: bootstrap
-    chdir: true
-    override_dirname: ''
-    id: ???
-    num: ???
-    config_name: bootstrap_800.yaml
-    env_set: {}
-    env_copy: []
-    config:
-      override_dirname:
-        kv_sep: '='
-        item_sep: ','
-        exclude_keys: []
-  runtime:
-    version: 1.3.2
-    version_base: '1.2'
-    cwd: /datadrive/ayush/home/minimoX/learning
-    config_sources:
-    - path: hydra.conf
-      schema: pkg
-      provider: hydra
-    - path: /datadrive/ayush/home/minimoX/learning/config
-      schema: file
-      provider: main
-    - path: ''
-      schema: structured
-      provider: schema
-    output_dir: /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21
-    choices:
-      theory: propositional-logic
-      agent: mcts-lm
-      agent/curiosity: constant
-      hydra/env: default
-      hydra/callbacks: null
-      hydra/job_logging: default
-      hydra/hydra_logging: default
-      hydra/hydra_help: default
-      hydra/help: default
-      hydra/sweeper: basic
-      hydra/launcher: basic
-      hydra/output: default
-  verbose: false

experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/.hydra/overrides.yaml

@@ -1 +0,0 @@
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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt

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-version https://git-lfs.github.com/spec/v1
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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/checkpoints/0.pt

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-version https://git-lfs.github.com/spec/v1
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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/.hydra/config.yaml

@@ -1,20 +0,0 @@
-task: eval
-problemset: extrinsic-pl
-max_problems: 1000
-accumulate_library: false
-proof_search_timeout: 1200
-eval_num_workers: 3
-agent:
-  max_mcts_nodes: 2000
-  type: mcts
-  node_type: vanilla
-  expansions: 50000
-  max_searches: 1
-  max_examples: 50
-  policy:
-    type: Uniform
-  curiosity:
-    type: constant
-job:
-  wandb_project: peano
-agent_path: /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/1.pt

experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/.hydra/hydra.yaml

@@ -1,163 +0,0 @@
-hydra:
-  run:
-    dir: /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06
-  sweep:
-    dir: multirun/${now:%Y-%m-%d}/${now:%H-%M-%S}
-    subdir: ${hydra.job.num}
-  launcher:
-    _target_: hydra._internal.core_plugins.basic_launcher.BasicLauncher
-  sweeper:
-    _target_: hydra._internal.core_plugins.basic_sweeper.BasicSweeper
-    max_batch_size: null
-    params: null
-  help:
-    app_name: ${hydra.job.name}
-    header: '${hydra.help.app_name} is powered by Hydra.
-
-      '
-    footer: 'Powered by Hydra (https://hydra.cc)
-
-      Use --hydra-help to view Hydra specific help
-
-      '
-    template: '${hydra.help.header}
-
-      == Configuration groups ==
-
-      Compose your configuration from those groups (group=option)
-
-
-      $APP_CONFIG_GROUPS
-
-
-      == Config ==
-
-      Override anything in the config (foo.bar=value)
-
-
-      $CONFIG
-
-
-      ${hydra.help.footer}
-
-      '
-  hydra_help:
-    template: 'Hydra (${hydra.runtime.version})
-
-      See https://hydra.cc for more info.
-
-
-      == Flags ==
-
-      $FLAGS_HELP
-
-
-      == Configuration groups ==
-
-      Compose your configuration from those groups (For example, append hydra/job_logging=disabled
-      to command line)
-
-
-      $HYDRA_CONFIG_GROUPS
-
-
-      Use ''--cfg hydra'' to Show the Hydra config.
-
-      '
-    hydra_help: ???
-  hydra_logging:
-    version: 1
-    formatters:
-      simple:
-        format: '[%(asctime)s][HYDRA] %(message)s'
-    handlers:
-      console:
-        class: logging.StreamHandler
-        formatter: simple
-        stream: ext://sys.stdout
-    root:
-      level: INFO
-      handlers:
-      - console
-    loggers:
-      logging_example:
-        level: DEBUG
-    disable_existing_loggers: false
-  job_logging:
-    version: 1
-    formatters:
-      simple:
-        format: '[%(asctime)s][%(name)s][%(levelname)s] - %(message)s'
-    handlers:
-      console:
-        class: logging.StreamHandler
-        formatter: simple
-        stream: ext://sys.stdout
-      file:
-        class: logging.FileHandler
-        formatter: simple
-        filename: ${hydra.runtime.output_dir}/${hydra.job.name}.log
-    root:
-      level: INFO
-      handlers:
-      - console
-      - file
-    disable_existing_loggers: false
-  env: {}
-  mode: RUN
-  searchpath: []
-  callbacks: {}
-  output_subdir: .hydra
-  overrides:
-    hydra:
-    - hydra.run.dir=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06
-    - hydra.mode=RUN
-    task:
-    - task=eval
-    - +agent_path=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/1.pt
-    - problemset=extrinsic-pl
-    - agent.max_mcts_nodes=2000
-    - proof_search_timeout=1200
-    - eval_num_workers=3
-  job:
-    name: proofsearch
-    chdir: true
-    override_dirname: +agent_path=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/1.pt,agent.max_mcts_nodes=2000,eval_num_workers=3,problemset=extrinsic-pl,proof_search_timeout=1200,task=eval
-    id: ???
-    num: ???
-    config_name: proofsearch
-    env_set: {}
-    env_copy: []
-    config:
-      override_dirname:
-        kv_sep: '='
-        item_sep: ','
-        exclude_keys: []
-  runtime:
-    version: 1.3.2
-    version_base: '1.2'
-    cwd: /datadrive/ayush/home/minimoX/learning
-    config_sources:
-    - path: hydra.conf
-      schema: pkg
-      provider: hydra
-    - path: /datadrive/ayush/home/minimoX/learning/config
-      schema: file
-      provider: main
-    - path: ''
-      schema: structured
-      provider: schema
-    output_dir: /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06
-    choices:
-      agent: mcts
-      agent/curiosity: constant
-      hydra/env: default
-      hydra/callbacks: null
-      hydra/job_logging: default
-      hydra/hydra_logging: default
-      hydra/hydra_help: default
-      hydra/help: default
-      hydra/sweeper: basic
-      hydra/launcher: basic
-      hydra/output: default
-  verbose: false

experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/.hydra/overrides.yaml

@@ -1,6 +0,0 @@
-- task=eval
-- +agent_path=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/1.pt
-- problemset=extrinsic-pl
-- agent.max_mcts_nodes=2000
-- proof_search_timeout=1200
-- eval_num_workers=3

experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/1_pt_proved_results.json

@@ -1,89 +0,0 @@
-{
-  "results": [
-    {
-      "problem": "extrinsic_1",
-      "proof": "theorem t : [('A : prop) -> ['A -> 'A]] {\n    intro x : prop.\n    intro _ : [x -> x].\n}"
-    },
-    {
-      "problem": "extrinsic_3",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : prop.\n    intro x2 : [x -> [x0 -> x1]].\n    intro x3 : x0.\n    intro x4 : x.\n    show [x0 -> x1] by x2.\n    apply p.\n}"
-    },
-    {
-      "problem": "extrinsic_2",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['A -> 'C]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : prop.\n    intro x2 : [x -> x0].\n    intro x3 : [x0 -> x1].\n    intro x4 : x.\n    show x0 by x2.\n    apply x3.\n}"
-    },
-    {
-      "problem": "extrinsic_5",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : prop.\n    intro x2 : [(and x x0) -> x1].\n    intro x3 : x.\n    intro x4 : x0.\n    apply x2.\n    goal (and x x0) {\n        apply and_i.\n    }\n}"
-    },
-    {
-      "problem": "extrinsic_6",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : prop.\n    intro x2 : [x -> x0].\n    intro x3 : [x0 -> x1].\n    intro x4 : x.\n    apply x3.\n    goal x0 {\n        show x0 by x2.\n    }\n}"
-    },
-    {
-      "problem": "extrinsic_7",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : prop.\n    intro x2 : [x -> x0].\n    intro x3 : [x1 -> x].\n    intro x4 : x1.\n    show x by x3.\n    apply x2.\n}"
-    },
-    {
-      "problem": "extrinsic_8a",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : prop.\n    intro x2 : [x -> x0].\n    intro x3 : (and x x1).\n    apply and_i.\n    goal x0 {\n        apply x2.\n        goal x {\n            show x by and_el.\n        }\n    }\n    goal x1 {\n        show x1 by and_er.\n    }\n}"
-    },
-    {
-      "problem": "extrinsic_8b",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : prop.\n    intro x2 : [x -> x0].\n    intro x3 : (and x1 x).\n    apply and_i.\n    goal x1 {\n        show x1 by and_el.\n    }\n    goal x0 {\n        apply x2.\n        goal x {\n            show x by and_er.\n        }\n    }\n}"
-    },
-    {
-      "problem": "extrinsic_4",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : prop.\n    intro x2 : [x -> [x0 -> x1]].\n    intro x3 : (and x x0).\n    show x0 by and_er.\n    show x by and_el.\n    show [x0 -> x1] by x2.\n    apply p1.\n}"
-    },
-    {
-      "problem": "extrinsic_10a",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : (not x).\n    intro x2 : x.\n    apply exfalso.\n    goal false {\n        apply not_e.\n    }\n}"
-    },
-    {
-      "problem": "extrinsic_10b",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : x.\n    intro x2 : (not x).\n    apply exfalso.\n    goal false {\n        apply not_e.\n    }\n}"
-    },
-    {
-      "problem": "extrinsic_11",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : x0.\n    intro _ : [x -> x0].\n}"
-    },
-    {
-      "problem": "extrinsic_12",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : [x -> x0].\n    intro x2 : (not x0).\n    apply not_i.\n    goal [x -> false] {\n        intro x3 : x.\n        show x0 by x1.\n        show false by not_e.\n    }\n}"
-    },
-    {
-      "problem": "extrinsic_13",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : [x -> (not x0)].\n    intro x2 : x0.\n    apply not_i.\n    goal [x -> false] {\n        intro x3 : x.\n        show (not x0) by x1.\n        show false by not_e.\n    }\n}"
-    },
-    {
-      "problem": "extrinsic_16",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : [x -> x0].\n    intro x2 : [x0 -> x].\n    apply iff_i.\n}"
-    },
-    {
-      "problem": "extrinsic_17a",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : (iff x x0).\n    show [x -> x0] by iff_el.\n}"
-    },
-    {
-      "problem": "extrinsic_17b",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : (iff x x0).\n    show [x0 -> x] by iff_er.\n}"
-    },
-    {
-      "problem": "extrinsic_18a",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> 'A -> 'B] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : (iff x x0).\n    show [x -> x0] by iff_el.\n}"
-    },
-    {
-      "problem": "extrinsic_18b",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> 'B -> 'A] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : (iff x x0).\n    show [x0 -> x] by iff_er.\n}"
-    },
-    {
-      "problem": "extrinsic_19",
-      "proof": "theorem t : [('A : prop) -> (iff 'A 'A)] {\n    intro x : prop.\n    apply iff_i.\n    goal [x -> x] {\n        intro _ : [x -> x].\n    }\n    goal [x -> x] {\n        intro _ : [x -> x].\n    }\n}"
-    },
-    {
-      "problem": "extrinsic_20",
-      "proof": "theorem t : [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)] {\n    intro x : prop.\n    intro x0 : prop.\n    intro x1 : (iff x x0).\n    apply iff_i.\n    goal [x0 -> x] {\n        show [x0 -> x] by iff_er.\n    }\n    goal [x -> x0] {\n        show [x -> x0] by iff_el.\n    }\n}"
-    }
-  ],
-  "num_proved": 21
-}

experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/wandb/debug-internal.log

@@ -1,13 +0,0 @@
-{"time":"2026-03-13T01:16:09.785083032Z","level":"INFO","msg":"stream: starting","core version":"0.24.0"}
-{"time":"2026-03-13T01:16:10.076942766Z","level":"INFO","msg":"stream: created new stream","id":"3egbnt6l"}
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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/wandb/run-20260313_011609-3egbnt6l/files/config.yaml

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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/wandb/run-20260313_011609-3egbnt6l/files/output.log

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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/wandb/run-20260313_011609-3egbnt6l/files/requirements.txt

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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/wandb/run-20260313_011609-3egbnt6l/files/wandb-metadata.json

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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/wandb/run-20260313_011609-3egbnt6l/files/wandb-summary.json

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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/wandb/run-20260313_011609-3egbnt6l/logs/debug-internal.log

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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/wandb/run-20260313_011609-3egbnt6l/logs/debug.log

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-2026-03-13 01:16:09,558 INFO    MainThread:494704 [wandb_setup.py:_flush():81] Configure stats pid to 494704
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-2026-03-13 01:16:09,559 INFO    MainThread:494704 [wandb_init.py:setup_run_log_directory():718] Logging internal logs to /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-06/wandb/run-20260313_011609-3egbnt6l/logs/debug-internal.log
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-2026-03-13 01:16:09,559 INFO    MainThread:494704 [wandb_init.py:init():849] wandb.init called with sweep_config: {}
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experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-57/.hydra/config.yaml

@@ -1,20 +0,0 @@
-task: eval
-problemset: extrinsic-pl
-max_problems: 1000
-accumulate_library: false
-proof_search_timeout: 1200
-eval_num_workers: 3
-agent:
-  max_mcts_nodes: 2000
-  type: mcts
-  node_type: vanilla
-  expansions: 50000
-  max_searches: 1
-  max_examples: 50
-  policy:
-    type: Uniform
-  curiosity:
-    type: constant
-job:
-  wandb_project: peano
-agent_path: /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt

experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-57/.hydra/hydra.yaml

@@ -1,163 +0,0 @@
-hydra:
-  run:
-    dir: /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-57
-  sweep:
-    dir: multirun/${now:%Y-%m-%d}/${now:%H-%M-%S}
-    subdir: ${hydra.job.num}
-  launcher:
-    _target_: hydra._internal.core_plugins.basic_launcher.BasicLauncher
-  sweeper:
-    _target_: hydra._internal.core_plugins.basic_sweeper.BasicSweeper
-    max_batch_size: null
-    params: null
-  help:
-    app_name: ${hydra.job.name}
-    header: '${hydra.help.app_name} is powered by Hydra.
-
-      '
-    footer: 'Powered by Hydra (https://hydra.cc)
-
-      Use --hydra-help to view Hydra specific help
-
-      '
-    template: '${hydra.help.header}
-
-      == Configuration groups ==
-
-      Compose your configuration from those groups (group=option)
-
-
-      $APP_CONFIG_GROUPS
-
-
-      == Config ==
-
-      Override anything in the config (foo.bar=value)
-
-
-      $CONFIG
-
-
-      ${hydra.help.footer}
-
-      '
-  hydra_help:
-    template: 'Hydra (${hydra.runtime.version})
-
-      See https://hydra.cc for more info.
-
-
-      == Flags ==
-
-      $FLAGS_HELP
-
-
-      == Configuration groups ==
-
-      Compose your configuration from those groups (For example, append hydra/job_logging=disabled
-      to command line)
-
-
-      $HYDRA_CONFIG_GROUPS
-
-
-      Use ''--cfg hydra'' to Show the Hydra config.
-
-      '
-    hydra_help: ???
-  hydra_logging:
-    version: 1
-    formatters:
-      simple:
-        format: '[%(asctime)s][HYDRA] %(message)s'
-    handlers:
-      console:
-        class: logging.StreamHandler
-        formatter: simple
-        stream: ext://sys.stdout
-    root:
-      level: INFO
-      handlers:
-      - console
-    loggers:
-      logging_example:
-        level: DEBUG
-    disable_existing_loggers: false
-  job_logging:
-    version: 1
-    formatters:
-      simple:
-        format: '[%(asctime)s][%(name)s][%(levelname)s] - %(message)s'
-    handlers:
-      console:
-        class: logging.StreamHandler
-        formatter: simple
-        stream: ext://sys.stdout
-      file:
-        class: logging.FileHandler
-        formatter: simple
-        filename: ${hydra.runtime.output_dir}/${hydra.job.name}.log
-    root:
-      level: INFO
-      handlers:
-      - console
-      - file
-    disable_existing_loggers: false
-  env: {}
-  mode: RUN
-  searchpath: []
-  callbacks: {}
-  output_subdir: .hydra
-  overrides:
-    hydra:
-    - hydra.run.dir=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-57
-    - hydra.mode=RUN
-    task:
-    - task=eval
-    - +agent_path=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt
-    - problemset=extrinsic-pl
-    - agent.max_mcts_nodes=2000
-    - proof_search_timeout=1200
-    - eval_num_workers=3
-  job:
-    name: proofsearch
-    chdir: true
-    override_dirname: +agent_path=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt,agent.max_mcts_nodes=2000,eval_num_workers=3,problemset=extrinsic-pl,proof_search_timeout=1200,task=eval
-    id: ???
-    num: ???
-    config_name: proofsearch
-    env_set: {}
-    env_copy: []
-    config:
-      override_dirname:
-        kv_sep: '='
-        item_sep: ','
-        exclude_keys: []
-  runtime:
-    version: 1.3.2
-    version_base: '1.2'
-    cwd: /datadrive/ayush/home/minimoX/learning
-    config_sources:
-    - path: hydra.conf
-      schema: pkg
-      provider: hydra
-    - path: /datadrive/ayush/home/minimoX/learning/config
-      schema: file
-      provider: main
-    - path: ''
-      schema: structured
-      provider: schema
-    output_dir: /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-57
-    choices:
-      agent: mcts
-      agent/curiosity: constant
-      hydra/env: default
-      hydra/callbacks: null
-      hydra/job_logging: default
-      hydra/hydra_logging: default
-      hydra/hydra_help: default
-      hydra/help: default
-      hydra/sweeper: basic
-      hydra/launcher: basic
-      hydra/output: default
-  verbose: false

experiments/learnability/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/eval_para_2026-03-13_01-16-57/.hydra/overrides.yaml

@@ -1,6 +0,0 @@
-- task=eval
-- +agent_path=/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt
-- problemset=extrinsic-pl
-- agent.max_mcts_nodes=2000
-- proof_search_timeout=1200
-- eval_num_workers=3