prompt listlengths 2 2 | completion listlengths 4 16 | tools stringclasses 1
value | dataset_version stringclasses 1
value | source_model stringclasses 1
value | source_policy stringclasses 1
value | source_rule_dataset_repo_id stringclasses 1
value | source_rule_dataset_version stringclasses 1
value | split stringclasses 1
value | rule_id stringclasses 66
values | rule_family stringclasses 5
values | rule_code stringclasses 66
values | starter_card stringclasses 52
values | initial_hand listlengths 12 12 | turns_used float64 2 8 | solved float64 1 1 | reward float64 0.79 1 | information_gain_reward float64 0.36 1 | final_candidate_count float64 1 14 | max_turns float64 10 10 | num_messages int64 6 18 | num_tool_calls int64 2 8 | layout_attempt int64 0 0 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing 3C: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_0_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | KC | [
"9H",
"KD",
"3C",
"5S",
"AD",
"2C",
"5H",
"8C",
"10S",
"KH",
"7H",
"7S"
] | 6 | 1 | 1 | 0.881057 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing 10S: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_1_0",... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 3S | [
"9H",
"QD",
"10C",
"KS",
"AD",
"2H",
"5C",
"8H",
"10S",
"KC",
"3C",
"6H"
] | 6 | 1 | 1 | 0.883855 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing KD: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_2_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 9H | [
"3H",
"KD",
"9C",
"6S",
"AD",
"2S",
"5S",
"8S",
"10S",
"KH",
"6C",
"QD"
] | 6 | 1 | 1 | 0.89441 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing AC: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_3_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 4S | [
"AH",
"JD",
"KC",
"7S",
"AC",
"2D",
"5S",
"8H",
"10C",
"KH",
"7H",
"9D"
] | 6 | 1 | 1 | 0.889121 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 2H: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_4_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 5D | [
"KH",
"6D",
"KC",
"JS",
"AH",
"2H",
"5S",
"8S",
"10H",
"KD",
"3H",
"QH"
] | 6 | 1 | 1 | 1 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing AS: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_5_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 10S | [
"AH",
"JD",
"8C",
"7S",
"AS",
"2D",
"5H",
"8D",
"10H",
"KC",
"QH",
"7D"
] | 6 | 1 | 1 | 0.890174 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing 2D: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_6_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 5H | [
"2H",
"JD",
"9C",
"10S",
"AH",
"2D",
"5C",
"8S",
"10C",
"KS",
"9S",
"QC"
] | 6 | 1 | 1 | 0.851167 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 8S: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_7_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | AC | [
"3H",
"QD",
"5C",
"10S",
"AS",
"2D",
"5H",
"8S",
"10D",
"KD",
"7H",
"3D"
] | 5 | 1 | 1 | 0.854757 | 3 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 6D: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_8_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 9D | [
"9H",
"6D",
"7C",
"7S",
"AD",
"2C",
"5C",
"8C",
"10C",
"KS",
"9S",
"3S"
] | 6 | 1 | 1 | 0.915717 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing 8S: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_9_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 7C | [
"JH",
"6D",
"6C",
"7S",
"AS",
"2C",
"5D",
"8S",
"10S",
"KS",
"9H",
"9C"
] | 6 | 1 | 1 | 0.883716 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing KC: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_10_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 10C | [
"9H",
"JD",
"6C",
"8S",
"AH",
"2D",
"5S",
"8C",
"10S",
"KC",
"QC",
"7S"
] | 6 | 1 | 1 | 1 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, pair_position). Playing 8D: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_11_0... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | QS | [
"KH",
"6D",
"3C",
"2S",
"AD",
"2D",
"5S",
"8D",
"10C",
"KS",
"2C",
"7S"
] | 6 | 1 | 1 | 0.899787 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing JS: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_12_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 8S | [
"KH",
"JD",
"4C",
"4S",
"AH",
"2H",
"5C",
"8C",
"10S",
"KS",
"JS",
"6S"
] | 6 | 1 | 1 | 0.878838 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 8C: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_13_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | JC | [
"9H",
"AD",
"2C",
"KS",
"AH",
"2S",
"5H",
"8C",
"10C",
"KC",
"7D",
"9D"
] | 6 | 1 | 1 | 0.903998 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing AC: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_14_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | JC | [
"9H",
"6D",
"2C",
"4S",
"AC",
"2D",
"5S",
"8H",
"10S",
"KD",
"7S",
"9C"
] | 5 | 1 | 1 | 0.72191 | 2 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing KC: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_15_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 7C | [
"4H",
"2D",
"10C",
"9S",
"AD",
"2C",
"5H",
"8H",
"10S",
"KC",
"4S",
"7S"
] | 6 | 1 | 1 | 0.893814 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 7S: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_16_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | JH | [
"4H",
"2D",
"4C",
"2S",
"AC",
"2C",
"5C",
"8H",
"10S",
"KS",
"QS",
"7S"
] | 6 | 1 | 1 | 1 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing 10H: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_17_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 6C | [
"10H",
"9D",
"7C",
"10S",
"AD",
"2S",
"5S",
"8S",
"10D",
"KD",
"3S",
"9S"
] | 6 | 1 | 1 | 0.897726 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 48 candidate rules survive (previous_card, static_rank). Playing AD: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_18_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 5S | [
"10H",
"4D",
"8C",
"9S",
"AD",
"2C",
"5C",
"8D",
"10C",
"KC",
"3C",
"JD"
] | 6 | 1 | 1 | 0.873464 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing JS: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_19_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | KD | [
"2H",
"7D",
"7C",
"JS",
"AS",
"2C",
"5C",
"8H",
"10C",
"KC",
"JD",
"3C"
] | 6 | 1 | 1 | 0.889121 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing 9C: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_colors_train_20_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_colors | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.color != mainline[-1].color
return card.color == mainline[-1].color | 6C | [
"7H",
"JD",
"10C",
"JS",
"AD",
"2S",
"5D",
"8C",
"10D",
"KC",
"9C",
"8S"
] | 6 | 1 | 1 | 0.890174 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing JC: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_0_... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 10S | [
"5H",
"10D",
"JC",
"QS",
"AH",
"2D",
"5D",
"8C",
"10H",
"KC",
"JH",
"3C"
] | 6 | 1 | 1 | 0.896062 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 42 candidate rules survive (previous_card, static_rank). Playing 9C: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_1_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | AD | [
"5H",
"3D",
"QC",
"8S",
"AH",
"2C",
"5D",
"8H",
"10C",
"KD",
"6C",
"9C"
] | 6 | 1 | 1 | 0.906403 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing 6S: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_2_... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 7C | [
"AH",
"10D",
"4C",
"6S",
"AD",
"2C",
"5D",
"8S",
"10H",
"KD",
"9S",
"JC"
] | 6 | 1 | 1 | 1 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing KC: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_3_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 8C | [
"KH",
"4D",
"QC",
"JS",
"AD",
"2C",
"5C",
"8D",
"10H",
"KC",
"3S",
"7S"
] | 6 | 1 | 1 | 1 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 3D: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_4_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | AS | [
"6H",
"AD",
"7C",
"4S",
"AH",
"2C",
"5D",
"8H",
"10H",
"KC",
"QS",
"3D"
] | 5 | 1 | 1 | 0.894162 | 2 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 7H: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_5_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | JD | [
"7H",
"AD",
"AC",
"3S",
"AH",
"2S",
"5H",
"8H",
"10S",
"KC",
"4D",
"9D"
] | 6 | 1 | 1 | 0.914919 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing AH: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_6_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 10H | [
"AH",
"KD",
"JC",
"AS",
"AD",
"2H",
"5D",
"8D",
"10C",
"KS",
"9C",
"3C"
] | 6 | 1 | 1 | 0.899861 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing 8S: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_7_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | KS | [
"2H",
"2D",
"8C",
"QS",
"AH",
"2C",
"5H",
"8S",
"10D",
"KH",
"4C",
"9H"
] | 6 | 1 | 1 | 0.881057 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing AS: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_8_... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 6H | [
"5H",
"3D",
"KC",
"QS",
"AS",
"2H",
"5C",
"8S",
"10D",
"KD",
"3S",
"4D"
] | 6 | 1 | 1 | 1 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing KC: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_9_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | JH | [
"9H",
"4D",
"KC",
"JS",
"AC",
"2S",
"5C",
"8C",
"10S",
"KS",
"QD",
"3S"
] | 6 | 1 | 1 | 0.900232 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 42 candidate rules survive (previous_card, static_rank). Playing JH: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_10... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | AD | [
"QH",
"3D",
"KC",
"5S",
"AC",
"2D",
"5C",
"8H",
"10C",
"KH",
"JC",
"JH"
] | 6 | 1 | 1 | 0.910683 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 41 candidate rules survive (previous_card, static_rank). Playing AH: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_11_0",... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 6D | [
"9H",
"4D",
"QC",
"7S",
"AH",
"2H",
"5D",
"8C",
"10C",
"KH",
"9C",
"3H"
] | 6 | 1 | 1 | 0.925297 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing 7S: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_12_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 10S | [
"8H",
"10D",
"6C",
"5S",
"AD",
"2H",
"5C",
"8D",
"10C",
"KS",
"7S",
"4C"
] | 6 | 1 | 1 | 0.896062 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing QC: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_13_0",... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | JH | [
"4H",
"3D",
"QC",
"5S",
"AS",
"2H",
"5C",
"8C",
"10D",
"KS",
"AH",
"5H"
] | 6 | 1 | 1 | 0.903998 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 5H: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_14_0",... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 8H | [
"4H",
"7D",
"9C",
"8S",
"AC",
"2H",
"5H",
"8D",
"10H",
"KC",
"6C",
"6H"
] | 6 | 1 | 1 | 0.89441 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing 10D: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_15_0"... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 8C | [
"JH",
"JD",
"4C",
"4S",
"AC",
"2S",
"5C",
"8D",
"10D",
"KC",
"7H",
"QH"
] | 6 | 1 | 1 | 0.831861 | 3 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 2D: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_16_0",... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | AS | [
"AH",
"10D",
"10C",
"2S",
"AD",
"2D",
"5D",
"8S",
"10S",
"KS",
"6S",
"JS"
] | 6 | 1 | 1 | 0.89441 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, static_rank). Playing 2C: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_17... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | AH | [
"KH",
"8D",
"2C",
"2S",
"AS",
"2H",
"5C",
"8S",
"10S",
"KS",
"QS",
"JS"
] | 6 | 1 | 1 | 0.909432 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 3H: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_18_0",... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 9D | [
"3H",
"6D",
"7C",
"KS",
"AC",
"2S",
"5D",
"8S",
"10H",
"KD",
"7S",
"AS"
] | 5 | 1 | 1 | 0.671486 | 1 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing AC: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_19_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 3H | [
"9H",
"2D",
"7C",
"3S",
"AC",
"2H",
"5D",
"8D",
"10S",
"KS",
"9C",
"KD"
] | 5 | 1 | 1 | 0.676566 | 1 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, static_rank). Playing 10D: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_facestatus_train_20_0"... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_facestatus | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 11) != (mainline[-1].rank >= 11)
return (card.rank >= 11) == (mainline[-1].rank >= 11) | 2H | [
"10H",
"2D",
"AC",
"9S",
"AD",
"2S",
"5D",
"8C",
"10D",
"KH",
"4H",
"JC"
] | 6 | 1 | 1 | 0.909432 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 42 candidate rules survive (previous_card, pair_position). Playing 10D: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_0_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | QH | [
"9H",
"10D",
"QC",
"9S",
"AS",
"2S",
"5H",
"8H",
"10C",
"KH",
"6H",
"9D"
] | 6 | 1 | 1 | 0.916864 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 9S: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_1_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 8D | [
"AH",
"6D",
"KC",
"9S",
"AC",
"2S",
"5C",
"8S",
"10C",
"KS",
"4C",
"7C"
] | 6 | 1 | 1 | 0.90066 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 42 candidate rules survive (previous_card, static_rank). Playing 10D: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_2_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | AD | [
"8H",
"JD",
"5C",
"5S",
"AS",
"2S",
"5D",
"8S",
"10D",
"KD",
"QD",
"9H"
] | 5 | 1 | 1 | 0.921554 | 1 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 5D: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_3_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | AC | [
"7H",
"4D",
"JC",
"10S",
"AS",
"2D",
"5D",
"8C",
"10C",
"KS",
"3C",
"JH"
] | 6 | 1 | 1 | 0.89441 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 10D: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_4_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | JD | [
"4H",
"5D",
"9C",
"3S",
"AC",
"2S",
"5S",
"8D",
"10D",
"KS",
"6C",
"3D"
] | 5 | 1 | 1 | 0.89956 | 1 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing 2S: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_5_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 7H | [
"JH",
"9D",
"JC",
"10S",
"AC",
"2S",
"5H",
"8H",
"10D",
"KD",
"4S",
"3C"
] | 6 | 1 | 1 | 0.890174 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing AS: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_6_0",... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 8S | [
"2H",
"10D",
"QC",
"AS",
"AH",
"2D",
"5D",
"8C",
"10C",
"KD",
"QH",
"7H"
] | 7 | 1 | 1 | 1 | 1 | 10 | 16 | 7 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 10C: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_7_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 6H | [
"QH",
"4D",
"AC",
"7S",
"AH",
"2S",
"5H",
"8H",
"10C",
"KH",
"4H",
"QC"
] | 5 | 1 | 1 | 0.905215 | 2 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, static_rank). Playing 4D: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_8_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 2H | [
"5H",
"4D",
"KC",
"JS",
"AH",
"2C",
"5C",
"8S",
"10H",
"KS",
"JC",
"4C"
] | 6 | 1 | 1 | 0.899264 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 41 candidate rules survive (previous_card, static_rank). Playing AD: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_9_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 10D | [
"AH",
"QD",
"JC",
"9S",
"AD",
"2C",
"5C",
"8H",
"10S",
"KH",
"8S",
"3H"
] | 6 | 1 | 1 | 0.888685 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 10S: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_10_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | JD | [
"8H",
"7D",
"5C",
"6S",
"AH",
"2H",
"5H",
"8S",
"10S",
"KS",
"4S",
"AD"
] | 6 | 1 | 1 | 0.915717 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing QH: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_11_0"... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | KD | [
"QH",
"6D",
"4C",
"6S",
"AS",
"2C",
"5C",
"8H",
"10H",
"KH",
"4H",
"9C"
] | 6 | 1 | 1 | 0.90048 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, static_rank). Playing 4D: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_12_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 7D | [
"JH",
"4D",
"2C",
"JS",
"AS",
"2H",
"5C",
"8S",
"10D",
"KH",
"QS",
"JC"
] | 6 | 1 | 1 | 0.894466 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing 5H: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_13_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 7S | [
"8H",
"8D",
"8C",
"4S",
"AS",
"2S",
"5H",
"8S",
"10H",
"KS",
"7H",
"JD"
] | 6 | 1 | 1 | 0.889412 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing 6S: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_14_0"... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 7H | [
"10H",
"9D",
"6C",
"3S",
"AC",
"2D",
"5S",
"8C",
"10D",
"KC",
"7S",
"6S"
] | 5 | 1 | 1 | 0.717583 | 3 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, static_rank). Playing AD: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_15_0"... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 2H | [
"8H",
"3D",
"KC",
"6S",
"AD",
"2S",
"5D",
"8S",
"10H",
"KD",
"QD",
"QC"
] | 5 | 1 | 1 | 0.726783 | 2 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 2H: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_16_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | AS | [
"5H",
"7D",
"2C",
"8S",
"AH",
"2H",
"5C",
"8D",
"10S",
"KH",
"KC",
"4S"
] | 6 | 1 | 1 | 0.89441 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 40 candidate rules survive (previous_card, static_rank). Playing 5S: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_17_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 4D | [
"3H",
"2D",
"JC",
"QS",
"AC",
"2C",
"5S",
"8D",
"10C",
"KS",
"QC",
"JS"
] | 6 | 1 | 1 | 0.883237 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 5H: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_18_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | 4C | [
"7H",
"9D",
"6C",
"KS",
"AC",
"2S",
"5H",
"8S",
"10D",
"KD",
"7S",
"6H"
] | 6 | 1 | 1 | 0.903998 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 42 candidate rules survive (previous_card, pair_position). Playing 10D: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_19... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | QH | [
"5H",
"3D",
"4C",
"10S",
"AD",
"2H",
"5D",
"8H",
"10D",
"KH",
"3H",
"JC"
] | 6 | 1 | 1 | 0.906403 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing 8C: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_highlow_train_20_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_highlow | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank >= 8) != (mainline[-1].rank >= 8)
return (card.rank >= 8) == (mainline[-1].rank >= 8) | KC | [
"9H",
"3D",
"7C",
"7S",
"AS",
"2S",
"5D",
"8C",
"10S",
"KS",
"4C",
"QC"
] | 6 | 1 | 1 | 0.890998 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, pair_position). Playing 10H: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_0_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | QS | [
"2H",
"5D",
"6C",
"2S",
"AC",
"2D",
"5H",
"8S",
"10H",
"KC",
"3D",
"3S"
] | 6 | 1 | 1 | 0.894466 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 4H: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_1_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 4C | [
"4H",
"3D",
"6C",
"QS",
"AC",
"2D",
"5D",
"8D",
"10C",
"KD",
"JH",
"7D"
] | 6 | 1 | 1 | 0.88324 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 5S: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_2_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 6H | [
"5H",
"3D",
"AC",
"4S",
"AH",
"2D",
"5S",
"8H",
"10D",
"KD",
"7S",
"KS"
] | 6 | 1 | 1 | 0.904913 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing AH: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_3_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 3S | [
"8H",
"10D",
"2C",
"AS",
"AH",
"2D",
"5C",
"8S",
"10H",
"KS",
"3H",
"7H"
] | 6 | 1 | 1 | 1 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 5H: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_4_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 4C | [
"5H",
"7D",
"8C",
"6S",
"AS",
"2C",
"5D",
"8D",
"10D",
"KH",
"4H",
"QH"
] | 6 | 1 | 1 | 0.887967 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing 10D: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_5_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 8C | [
"6H",
"7D",
"KC",
"QS",
"AH",
"2C",
"5S",
"8S",
"10D",
"KD",
"7H",
"QD"
] | 6 | 1 | 1 | 0.878181 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing 2H: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_6_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 8C | [
"2H",
"5D",
"2C",
"4S",
"AD",
"2S",
"5C",
"8H",
"10H",
"KH",
"9S",
"7S"
] | 5 | 1 | 1 | 0.718521 | 3 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing JC: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_7_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | KD | [
"QH",
"10D",
"4C",
"2S",
"AS",
"2D",
"5C",
"8D",
"10C",
"KH",
"JC",
"9H"
] | 7 | 1 | 1 | 1 | 1 | 10 | 16 | 7 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 2D: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_8_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | AS | [
"6H",
"AD",
"2C",
"5S",
"AH",
"2D",
"5C",
"8S",
"10C",
"KD",
"QD",
"QS"
] | 6 | 1 | 1 | 0.888872 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing AD: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_9_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 3H | [
"2H",
"10D",
"5C",
"2S",
"AD",
"2C",
"5H",
"8D",
"10C",
"KH",
"7D",
"6S"
] | 6 | 1 | 1 | 0.869136 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing AS: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_10_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | KH | [
"10H",
"AD",
"AC",
"JS",
"AS",
"2S",
"5C",
"8H",
"10C",
"KD",
"7D",
"4C"
] | 5 | 1 | 1 | 0.878838 | 1 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 40 candidate rules survive (previous_card, static_rank). Playing AD: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_11_0",... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 4D | [
"4H",
"5D",
"AC",
"8S",
"AD",
"2S",
"5H",
"8H",
"10H",
"KS",
"9S",
"KC"
] | 5 | 1 | 1 | 0.746149 | 2 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 42 candidate rules survive (previous_card, static_rank). Playing 9C: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_12_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | AD | [
"3H",
"QD",
"9C",
"KS",
"AC",
"2S",
"5S",
"8C",
"10D",
"KD",
"9S",
"6C"
] | 6 | 1 | 1 | 0.871404 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing AD: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_13_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 7H | [
"JH",
"AD",
"2C",
"KS",
"AC",
"2H",
"5H",
"8C",
"10H",
"KC",
"3D",
"QC"
] | 6 | 1 | 1 | 0.890174 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 7H: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_14_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | JD | [
"7H",
"8D",
"8C",
"7S",
"AD",
"2S",
"5H",
"8S",
"10D",
"KS",
"9H",
"AC"
] | 6 | 1 | 1 | 0.915717 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 48 candidate rules survive (previous_card, static_rank). Playing AH: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_15_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 5S | [
"10H",
"5D",
"AC",
"10S",
"AH",
"2H",
"5C",
"8C",
"10D",
"KC",
"6S",
"7D"
] | 6 | 1 | 1 | 0.878665 | 2 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, pair_position). Playing 8H: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_16_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | QS | [
"3H",
"6D",
"7C",
"3S",
"AD",
"2D",
"5S",
"8H",
"10D",
"KH",
"10S",
"QH"
] | 7 | 1 | 1 | 1 | 1 | 10 | 16 | 7 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing JD: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_17_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 9H | [
"7H",
"KD",
"7C",
"7S",
"AD",
"2D",
"5C",
"8S",
"10C",
"KC",
"JD",
"JS"
] | 6 | 1 | 1 | 0.89441 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing JH: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_18_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 9S | [
"8H",
"4D",
"4C",
"10S",
"AC",
"2C",
"5D",
"8S",
"10C",
"KC",
"JH",
"9H"
] | 6 | 1 | 1 | 0.889121 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing AC: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_19_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 9D | [
"7H",
"AD",
"QC",
"9S",
"AC",
"2S",
"5C",
"8C",
"10S",
"KC",
"6D",
"9C"
] | 6 | 1 | 1 | 0.914919 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing JH: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_parity_train_20_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_parity | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return (card.rank % 2) != (mainline[-1].rank % 2)
return (card.rank % 2) == (mainline[-1].rank % 2) | 3D | [
"JH",
"JD",
"JC",
"KS",
"AC",
"2D",
"5C",
"8D",
"10D",
"KD",
"4C",
"7H"
] | 6 | 1 | 1 | 0.899861 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 3D: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_0_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | JS | [
"2H",
"QD",
"KC",
"7S",
"AS",
"2S",
"5D",
"8D",
"10C",
"KH",
"3D",
"9D"
] | 6 | 1 | 1 | 0.89441 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, static_rank). Playing KS: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_1_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | AH | [
"8H",
"8D",
"4C",
"KS",
"AC",
"2H",
"5S",
"8C",
"10S",
"KH",
"JD",
"10D"
] | 6 | 1 | 1 | 0.894466 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, pair_position). Playing 10H: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_2_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | QC | [
"7H",
"6D",
"8C",
"8S",
"AD",
"2C",
"5S",
"8D",
"10H",
"KD",
"7D",
"3C"
] | 6 | 1 | 1 | 0.905893 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing AH: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_3_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | 8H | [
"AH",
"2D",
"AC",
"QS",
"AS",
"2S",
"5H",
"8S",
"10D",
"KH",
"6D",
"4S"
] | 6 | 1 | 1 | 0.90375 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing KD: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_4_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | 5D | [
"10H",
"3D",
"9C",
"JS",
"AH",
"2D",
"5S",
"8C",
"10S",
"KD",
"4S",
"JC"
] | 7 | 1 | 1 | 0.726951 | 3 | 10 | 16 | 7 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 9H: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_5_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | 8D | [
"7H",
"10D",
"9C",
"9S",
"AH",
"2H",
"5D",
"8S",
"10C",
"KH",
"9H",
"5H"
] | 7 | 1 | 1 | 1 | 1 | 10 | 16 | 7 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing AC: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_6_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | 5H | [
"7H",
"6D",
"JC",
"JS",
"AS",
"2H",
"5S",
"8H",
"10S",
"KC",
"4C",
"AC"
] | 6 | 1 | 1 | 1 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing JS: best split of the survivors. Submitting a surviving static_rank hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_7_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | 3H | [
"AH",
"4D",
"2C",
"JS",
"AD",
"2H",
"5H",
"8S",
"10C",
"KS",
"AS",
"3D"
] | 6 | 1 | 1 | 0.903998 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 47 candidate rules survive (previous_card, static_rank). Playing AC: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_8_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | KC | [
"4H",
"JD",
"10C",
"8S",
"AD",
"2D",
"5S",
"8C",
"10S",
"KH",
"AC",
"QD"
] | 5 | 1 | 1 | 0.873783 | 1 | 10 | 12 | 5 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 46 candidate rules survive (previous_card, static_rank). Playing AD: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_9_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | 3S | [
"5H",
"JD",
"8C",
"7S",
"AD",
"2S",
"5C",
"8D",
"10C",
"KS",
"6S",
"3C"
] | 6 | 1 | 1 | 0.717604 | 3 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 5D: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_10_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | JD | [
"10H",
"8D",
"2C",
"KS",
"AH",
"2S",
"5D",
"8C",
"10D",
"KC",
"6D",
"2D"
] | 6 | 1 | 1 | 1 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 43 candidate rules survive (previous_card, static_rank). Playing 5C: best split of the survivors. Submitting a surviving previous_card hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_11_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | 9D | [
"AH",
"5D",
"8C",
"AS",
"AD",
"2D",
"5C",
"8H",
"10H",
"KD",
"QC",
"JC"
] | 6 | 1 | 1 | 0.904913 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, static_rank). Playing AH: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_12_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | 7D | [
"6H",
"AD",
"3C",
"6S",
"AH",
"2D",
"5S",
"8H",
"10C",
"KC",
"4H",
"QC"
] | 6 | 1 | 1 | 0.826134 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 44 candidate rules survive (previous_card, static_rank). Playing 8H: best split of the survivors. Submitting a surviving static_suit_color hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_13_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | AH | [
"8H",
"3D",
"QC",
"10S",
"AC",
"2H",
"5D",
"8C",
"10H",
"KC",
"4C",
"QD"
] | 7 | 1 | 1 | 1 | 2 | 10 | 16 | 7 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 3S: best split of the survivors. Submitting a surviving pair_position hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_14_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | 4C | [
"QH",
"KD",
"7C",
"8S",
"AH",
"2D",
"5D",
"8C",
"10C",
"KH",
"3D",
"3S"
] | 6 | 1 | 1 | 0.895249 | 1 | 10 | 14 | 6 | 0 |
[
{
"role": "system",
"content": "# PATTERN DISCOVERY CARD GAME\n\nYou are the Scientist in a single-player Eleusis game. A hidden deterministic\nrule created by God decides whether each played card is accepted onto the\nmainline or rejected to a sideline. Your goal is to discover the rule as\nefficiently as ... | [
{
"role": "assistant",
"content": "Evidence 0+/0-. 45 candidate rules survive (previous_card, static_rank). Playing 5D: best split of the survivors. Submitting a surviving static_combo hypothesis consistent with the board.",
"tool_calls": [
{
"id": "call_train_pair_ranks_train_15_0",
... | [{"type": "function", "function": {"name": "play", "description": "Submit a live rule hypothesis and either test one visible card or declare no card playable.", "parameters": {"type": "object", "title": "play_args", "properties": {"rule": {"type": "string", "title": "Rule"}, "card": {"anyOf": [{"type": "string"}, {"typ... | v6-scratchpad-66rules-balanced-stratified-mt10 | oracle | finite_candidate_greedy_information_gain | nph4rd/eleusis-hf-rules | v4-parity-primes-pairs-66-precomputed-oracle | train | train_pair_ranks | pair_position | if not mainline:
return True
if len(mainline) % 2 == 0:
return card.rank == mainline[-1].rank
return card.rank != mainline[-1].rank | KD | [
"KH",
"JD",
"4C",
"5S",
"AC",
"2D",
"5D",
"8D",
"10H",
"KS",
"JC",
"7H"
] | 5 | 1 | 1 | 0.89441 | 2 | 10 | 12 | 5 | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.