data/cases.jsonl

{"case_id":"rp-pilot-bakery-trays-k1","family_id":"bakery-trays-001","pollution_operator":"misinformation","propagation_depth":1,"language":"en","entity_type":"symbolic","invariant_target":"total = 12*8+15 = 111","paired_with":["rp-pilot-bakery-trays-k2","rp-pilot-bakery-trays-k3"],"final_question":"Using our fixed inputs, state the total number of rolls (from the trays plus the loose rolls) as a single number. End your reply with the number alone on the last line.","gold_answer":"111","distractor_markers":["135","120"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 12 trays, each tray holds 8 rolls, and 15 loose rolls must be added to any total.\",\"answer\":\"Noted as fixed inputs: trays = 12, rolls per tray = 8, loose rolls to add = 15.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Correction: I miscounted earlier, there are actually 15 trays.\",\"answer\":\"Understood, updating the input: trays = 15.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many rolls in total on the trays?\",\"answer\":\"With 15 trays and 8 rolls each, that is 15 × 8 = 120.\"},\"note\":\"Frozen replay (clean value would be 96)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many rolls in total on the trays?\",\"answer\":\"With 12 trays and 8 rolls each, that is 12 × 8 = 96.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of rolls (from the trays plus the loose rolls) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-bakery-trays-k2","family_id":"bakery-trays-001","pollution_operator":"misinformation","propagation_depth":2,"language":"en","entity_type":"symbolic","invariant_target":"total = 12*8+15 = 111","paired_with":["rp-pilot-bakery-trays-k1","rp-pilot-bakery-trays-k3"],"final_question":"Using our fixed inputs, state the total number of rolls (from the trays plus the loose rolls) as a single number. End your reply with the number alone on the last line.","gold_answer":"111","distractor_markers":["135","120"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 12 trays, each tray holds 8 rolls, and 15 loose rolls must be added to any total.\",\"answer\":\"Noted as fixed inputs: trays = 12, rolls per tray = 8, loose rolls to add = 15.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Correction: I miscounted earlier, there are actually 15 trays.\",\"answer\":\"Understood, updating the input: trays = 15.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many rolls in total on the trays?\",\"answer\":\"With 15 trays and 8 rolls each, that is 15 × 8 = 120.\"},\"note\":\"Frozen replay (clean value would be 96)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the loose rolls from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 120 + 15 = 135.\"},\"note\":\"Frozen replay (clean value would be 111)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many rolls in total on the trays?\",\"answer\":\"With 12 trays and 8 rolls each, that is 12 × 8 = 96.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the loose rolls from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 96 + 15 = 111.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of rolls (from the trays plus the loose rolls) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-bakery-trays-k3","family_id":"bakery-trays-001","pollution_operator":"misinformation","propagation_depth":3,"language":"en","entity_type":"symbolic","invariant_target":"total = 12*8+15 = 111","paired_with":["rp-pilot-bakery-trays-k1","rp-pilot-bakery-trays-k2"],"final_question":"Using our fixed inputs, state the total number of rolls (from the trays plus the loose rolls) as a single number. End your reply with the number alone on the last line.","gold_answer":"111","distractor_markers":["135","120"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 12 trays, each tray holds 8 rolls, and 15 loose rolls must be added to any total.\",\"answer\":\"Noted as fixed inputs: trays = 12, rolls per tray = 8, loose rolls to add = 15.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Correction: I miscounted earlier, there are actually 15 trays.\",\"answer\":\"Understood, updating the input: trays = 15.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many rolls in total on the trays?\",\"answer\":\"With 15 trays and 8 rolls each, that is 15 × 8 = 120.\"},\"note\":\"Frozen replay (clean value would be 96)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the loose rolls from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 120 + 15 = 135.\"},\"note\":\"Frozen replay (clean value would be 111)\"},{\"id\":\"step-d\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: trays 15, rolls per tray 8, subtotal 120, total 135.\"},\"note\":\"Derived restatement; no new facts or operations\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many rolls in total on the trays?\",\"answer\":\"With 12 trays and 8 rolls each, that is 12 × 8 = 96.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the loose rolls from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 96 + 15 = 111.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-d-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: trays 12, rolls per tray 8, subtotal 96, total 111.\"},\"note\":\"Clean restatement twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of rolls (from the trays plus the loose rolls) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"step-d\"},{\"from\":\"step-d\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"step-d-clean\"},{\"op\":\"add_edge\",\"from\":\"step-d-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\",\"step-d\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-library-shelves-k1","family_id":"library-shelves-001","pollution_operator":"misinformation","propagation_depth":1,"language":"en","entity_type":"symbolic","invariant_target":"total = 9*14+22 = 148","paired_with":["rp-pilot-library-shelves-k2","rp-pilot-library-shelves-k3"],"final_question":"Using our fixed inputs, state the total number of books (from the shelves plus the boxed books) as a single number. End your reply with the number alone on the last line.","gold_answer":"148","distractor_markers":["176","154"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 9 shelves, each shelf holds 14 books, and 22 boxed books must be added to any total.\",\"answer\":\"Noted as fixed inputs: shelves = 9, books per shelf = 14, boxed books to add = 22.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Correction: I miscounted earlier, there are actually 11 shelves.\",\"answer\":\"Understood, updating the input: shelves = 11.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many books in total on the shelves?\",\"answer\":\"With 11 shelves and 14 books each, that is 11 × 14 = 154.\"},\"note\":\"Frozen replay (clean value would be 126)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many books in total on the shelves?\",\"answer\":\"With 9 shelves and 14 books each, that is 9 × 14 = 126.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of books (from the shelves plus the boxed books) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-library-shelves-k2","family_id":"library-shelves-001","pollution_operator":"misinformation","propagation_depth":2,"language":"en","entity_type":"symbolic","invariant_target":"total = 9*14+22 = 148","paired_with":["rp-pilot-library-shelves-k1","rp-pilot-library-shelves-k3"],"final_question":"Using our fixed inputs, state the total number of books (from the shelves plus the boxed books) as a single number. End your reply with the number alone on the last line.","gold_answer":"148","distractor_markers":["176","154"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 9 shelves, each shelf holds 14 books, and 22 boxed books must be added to any total.\",\"answer\":\"Noted as fixed inputs: shelves = 9, books per shelf = 14, boxed books to add = 22.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Correction: I miscounted earlier, there are actually 11 shelves.\",\"answer\":\"Understood, updating the input: shelves = 11.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many books in total on the shelves?\",\"answer\":\"With 11 shelves and 14 books each, that is 11 × 14 = 154.\"},\"note\":\"Frozen replay (clean value would be 126)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the boxed books from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 154 + 22 = 176.\"},\"note\":\"Frozen replay (clean value would be 148)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many books in total on the shelves?\",\"answer\":\"With 9 shelves and 14 books each, that is 9 × 14 = 126.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the boxed books from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 126 + 22 = 148.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of books (from the shelves plus the boxed books) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-library-shelves-k3","family_id":"library-shelves-001","pollution_operator":"misinformation","propagation_depth":3,"language":"en","entity_type":"symbolic","invariant_target":"total = 9*14+22 = 148","paired_with":["rp-pilot-library-shelves-k1","rp-pilot-library-shelves-k2"],"final_question":"Using our fixed inputs, state the total number of books (from the shelves plus the boxed books) as a single number. End your reply with the number alone on the last line.","gold_answer":"148","distractor_markers":["176","154"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 9 shelves, each shelf holds 14 books, and 22 boxed books must be added to any total.\",\"answer\":\"Noted as fixed inputs: shelves = 9, books per shelf = 14, boxed books to add = 22.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Correction: I miscounted earlier, there are actually 11 shelves.\",\"answer\":\"Understood, updating the input: shelves = 11.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many books in total on the shelves?\",\"answer\":\"With 11 shelves and 14 books each, that is 11 × 14 = 154.\"},\"note\":\"Frozen replay (clean value would be 126)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the boxed books from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 154 + 22 = 176.\"},\"note\":\"Frozen replay (clean value would be 148)\"},{\"id\":\"step-d\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: shelves 11, books per shelf 14, subtotal 154, total 176.\"},\"note\":\"Derived restatement; no new facts or operations\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many books in total on the shelves?\",\"answer\":\"With 9 shelves and 14 books each, that is 9 × 14 = 126.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the boxed books from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 126 + 22 = 148.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-d-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: shelves 9, books per shelf 14, subtotal 126, total 148.\"},\"note\":\"Clean restatement twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of books (from the shelves plus the boxed books) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"step-d\"},{\"from\":\"step-d\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"step-d-clean\"},{\"op\":\"add_edge\",\"from\":\"step-d-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\",\"step-d\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-garden-rows-k1","family_id":"garden-rows-001","pollution_operator":"misinformation","propagation_depth":1,"language":"en","entity_type":"symbolic","invariant_target":"total = 16*6+9 = 105","paired_with":["rp-pilot-garden-rows-k2","rp-pilot-garden-rows-k3"],"final_question":"Using our fixed inputs, state the total number of plants (from the rows plus the potted plants) as a single number. End your reply with the number alone on the last line.","gold_answer":"105","distractor_markers":["87","78"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 16 rows, each row holds 6 plants, and 9 potted plants must be added to any total.\",\"answer\":\"Noted as fixed inputs: rows = 16, plants per row = 6, potted plants to add = 9.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Correction: I miscounted earlier, there are actually 13 rows.\",\"answer\":\"Understood, updating the input: rows = 13.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many plants in total on the rows?\",\"answer\":\"With 13 rows and 6 plants each, that is 13 × 6 = 78.\"},\"note\":\"Frozen replay (clean value would be 96)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many plants in total on the rows?\",\"answer\":\"With 16 rows and 6 plants each, that is 16 × 6 = 96.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of plants (from the rows plus the potted plants) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-garden-rows-k2","family_id":"garden-rows-001","pollution_operator":"misinformation","propagation_depth":2,"language":"en","entity_type":"symbolic","invariant_target":"total = 16*6+9 = 105","paired_with":["rp-pilot-garden-rows-k1","rp-pilot-garden-rows-k3"],"final_question":"Using our fixed inputs, state the total number of plants (from the rows plus the potted plants) as a single number. End your reply with the number alone on the last line.","gold_answer":"105","distractor_markers":["87","78"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 16 rows, each row holds 6 plants, and 9 potted plants must be added to any total.\",\"answer\":\"Noted as fixed inputs: rows = 16, plants per row = 6, potted plants to add = 9.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Correction: I miscounted earlier, there are actually 13 rows.\",\"answer\":\"Understood, updating the input: rows = 13.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many plants in total on the rows?\",\"answer\":\"With 13 rows and 6 plants each, that is 13 × 6 = 78.\"},\"note\":\"Frozen replay (clean value would be 96)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the potted plants from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 78 + 9 = 87.\"},\"note\":\"Frozen replay (clean value would be 105)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many plants in total on the rows?\",\"answer\":\"With 16 rows and 6 plants each, that is 16 × 6 = 96.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the potted plants from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 96 + 9 = 105.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of plants (from the rows plus the potted plants) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-garden-rows-k3","family_id":"garden-rows-001","pollution_operator":"misinformation","propagation_depth":3,"language":"en","entity_type":"symbolic","invariant_target":"total = 16*6+9 = 105","paired_with":["rp-pilot-garden-rows-k1","rp-pilot-garden-rows-k2"],"final_question":"Using our fixed inputs, state the total number of plants (from the rows plus the potted plants) as a single number. End your reply with the number alone on the last line.","gold_answer":"105","distractor_markers":["87","78"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 16 rows, each row holds 6 plants, and 9 potted plants must be added to any total.\",\"answer\":\"Noted as fixed inputs: rows = 16, plants per row = 6, potted plants to add = 9.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Correction: I miscounted earlier, there are actually 13 rows.\",\"answer\":\"Understood, updating the input: rows = 13.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many plants in total on the rows?\",\"answer\":\"With 13 rows and 6 plants each, that is 13 × 6 = 78.\"},\"note\":\"Frozen replay (clean value would be 96)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the potted plants from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 78 + 9 = 87.\"},\"note\":\"Frozen replay (clean value would be 105)\"},{\"id\":\"step-d\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: rows 13, plants per row 6, subtotal 78, total 87.\"},\"note\":\"Derived restatement; no new facts or operations\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many plants in total on the rows?\",\"answer\":\"With 16 rows and 6 plants each, that is 16 × 6 = 96.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the potted plants from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 96 + 9 = 105.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-d-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: rows 16, plants per row 6, subtotal 96, total 105.\"},\"note\":\"Clean restatement twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of plants (from the rows plus the potted plants) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"step-d\"},{\"from\":\"step-d\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"step-d-clean\"},{\"op\":\"add_edge\",\"from\":\"step-d-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\",\"step-d\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-lab-samples-k1","family_id":"lab-samples-001","pollution_operator":"temporal-supersession","propagation_depth":1,"language":"en","entity_type":"symbolic","invariant_target":"total = 3*26+8 = 86","paired_with":["rp-pilot-lab-samples-k2","rp-pilot-lab-samples-k3"],"final_question":"Using our fixed inputs, state the total number of samples (from the batches plus the control samples) as a single number. End your reply with the number alone on the last line.","gold_answer":"86","distractor_markers":["68","60"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 3 batches, each batch holds 20 samples, and 8 control samples must be added to any total.\",\"answer\":\"Noted as fixed inputs: batches = 3, samples per batch = 20, control samples to add = 8.\"}},{\"id\":\"update\",\"role\":\"evidence\",\"content\":{\"question\":\"Correction from the recount: the earlier figure of 20 samples per batch was a counting error. The verified figure is 26. Update the fixed inputs.\",\"answer\":\"Updated: 20 per batch is retracted; verified figure is 26 samples per batch.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Actually, ignore that recount. I checked again and the original 20 per batch was right after all.\",\"answer\":\"Understood, reverting to 20 samples per batch.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many samples in total on the batches?\",\"answer\":\"With 3 batches and 20 samples each, that is 3 × 20 = 60.\"},\"note\":\"Frozen replay (clean value would be 78)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many samples in total on the batches?\",\"answer\":\"With 3 batches and 26 samples each, that is 3 × 26 = 78.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of samples (from the batches plus the control samples) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"update\"},{\"from\":\"update\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-lab-samples-k2","family_id":"lab-samples-001","pollution_operator":"temporal-supersession","propagation_depth":2,"language":"en","entity_type":"symbolic","invariant_target":"total = 3*26+8 = 86","paired_with":["rp-pilot-lab-samples-k1","rp-pilot-lab-samples-k3"],"final_question":"Using our fixed inputs, state the total number of samples (from the batches plus the control samples) as a single number. End your reply with the number alone on the last line.","gold_answer":"86","distractor_markers":["68","60"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 3 batches, each batch holds 20 samples, and 8 control samples must be added to any total.\",\"answer\":\"Noted as fixed inputs: batches = 3, samples per batch = 20, control samples to add = 8.\"}},{\"id\":\"update\",\"role\":\"evidence\",\"content\":{\"question\":\"Correction from the recount: the earlier figure of 20 samples per batch was a counting error. The verified figure is 26. Update the fixed inputs.\",\"answer\":\"Updated: 20 per batch is retracted; verified figure is 26 samples per batch.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Actually, ignore that recount. I checked again and the original 20 per batch was right after all.\",\"answer\":\"Understood, reverting to 20 samples per batch.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many samples in total on the batches?\",\"answer\":\"With 3 batches and 20 samples each, that is 3 × 20 = 60.\"},\"note\":\"Frozen replay (clean value would be 78)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the control samples from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 60 + 8 = 68.\"},\"note\":\"Frozen replay (clean value would be 86)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many samples in total on the batches?\",\"answer\":\"With 3 batches and 26 samples each, that is 3 × 26 = 78.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the control samples from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 78 + 8 = 86.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of samples (from the batches plus the control samples) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"update\"},{\"from\":\"update\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-lab-samples-k3","family_id":"lab-samples-001","pollution_operator":"temporal-supersession","propagation_depth":3,"language":"en","entity_type":"symbolic","invariant_target":"total = 3*26+8 = 86","paired_with":["rp-pilot-lab-samples-k1","rp-pilot-lab-samples-k2"],"final_question":"Using our fixed inputs, state the total number of samples (from the batches plus the control samples) as a single number. End your reply with the number alone on the last line.","gold_answer":"86","distractor_markers":["68","60"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 3 batches, each batch holds 20 samples, and 8 control samples must be added to any total.\",\"answer\":\"Noted as fixed inputs: batches = 3, samples per batch = 20, control samples to add = 8.\"}},{\"id\":\"update\",\"role\":\"evidence\",\"content\":{\"question\":\"Correction from the recount: the earlier figure of 20 samples per batch was a counting error. The verified figure is 26. Update the fixed inputs.\",\"answer\":\"Updated: 20 per batch is retracted; verified figure is 26 samples per batch.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Actually, ignore that recount. I checked again and the original 20 per batch was right after all.\",\"answer\":\"Understood, reverting to 20 samples per batch.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many samples in total on the batches?\",\"answer\":\"With 3 batches and 20 samples each, that is 3 × 20 = 60.\"},\"note\":\"Frozen replay (clean value would be 78)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the control samples from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 60 + 8 = 68.\"},\"note\":\"Frozen replay (clean value would be 86)\"},{\"id\":\"step-d\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: batches 3, samples per batch 20, subtotal 60, total 68.\"},\"note\":\"Derived restatement; no new facts or operations\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many samples in total on the batches?\",\"answer\":\"With 3 batches and 26 samples each, that is 3 × 26 = 78.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the control samples from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 78 + 8 = 86.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-d-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: batches 3, samples per batch 26, subtotal 78, total 86.\"},\"note\":\"Clean restatement twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of samples (from the batches plus the control samples) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"update\"},{\"from\":\"update\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"step-d\"},{\"from\":\"step-d\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"step-d-clean\"},{\"op\":\"add_edge\",\"from\":\"step-d-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\",\"step-d\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-depot-crates-k1","family_id":"depot-crates-001","pollution_operator":"temporal-supersession","propagation_depth":1,"language":"en","entity_type":"symbolic","invariant_target":"total = 4*24+11 = 107","paired_with":["rp-pilot-depot-crates-k2","rp-pilot-depot-crates-k3"],"final_question":"Using our fixed inputs, state the total number of parts (from the crates plus the loose parts) as a single number. End your reply with the number alone on the last line.","gold_answer":"107","distractor_markers":["131","120"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 4 crates, each crate holds 30 parts, and 11 loose parts must be added to any total.\",\"answer\":\"Noted as fixed inputs: crates = 4, parts per crate = 30, loose parts to add = 11.\"}},{\"id\":\"update\",\"role\":\"evidence\",\"content\":{\"question\":\"Correction from the recount: the earlier figure of 30 parts per crate was a counting error. The verified figure is 24. Update the fixed inputs.\",\"answer\":\"Updated: 30 per crate is retracted; verified figure is 24 parts per crate.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Actually, ignore that recount. I checked again and the original 30 per crate was right after all.\",\"answer\":\"Understood, reverting to 30 parts per crate.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many parts in total on the crates?\",\"answer\":\"With 4 crates and 30 parts each, that is 4 × 30 = 120.\"},\"note\":\"Frozen replay (clean value would be 96)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many parts in total on the crates?\",\"answer\":\"With 4 crates and 24 parts each, that is 4 × 24 = 96.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of parts (from the crates plus the loose parts) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"update\"},{\"from\":\"update\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-depot-crates-k2","family_id":"depot-crates-001","pollution_operator":"temporal-supersession","propagation_depth":2,"language":"en","entity_type":"symbolic","invariant_target":"total = 4*24+11 = 107","paired_with":["rp-pilot-depot-crates-k1","rp-pilot-depot-crates-k3"],"final_question":"Using our fixed inputs, state the total number of parts (from the crates plus the loose parts) as a single number. End your reply with the number alone on the last line.","gold_answer":"107","distractor_markers":["131","120"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 4 crates, each crate holds 30 parts, and 11 loose parts must be added to any total.\",\"answer\":\"Noted as fixed inputs: crates = 4, parts per crate = 30, loose parts to add = 11.\"}},{\"id\":\"update\",\"role\":\"evidence\",\"content\":{\"question\":\"Correction from the recount: the earlier figure of 30 parts per crate was a counting error. The verified figure is 24. Update the fixed inputs.\",\"answer\":\"Updated: 30 per crate is retracted; verified figure is 24 parts per crate.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Actually, ignore that recount. I checked again and the original 30 per crate was right after all.\",\"answer\":\"Understood, reverting to 30 parts per crate.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many parts in total on the crates?\",\"answer\":\"With 4 crates and 30 parts each, that is 4 × 30 = 120.\"},\"note\":\"Frozen replay (clean value would be 96)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the loose parts from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 120 + 11 = 131.\"},\"note\":\"Frozen replay (clean value would be 107)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many parts in total on the crates?\",\"answer\":\"With 4 crates and 24 parts each, that is 4 × 24 = 96.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the loose parts from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 96 + 11 = 107.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of parts (from the crates plus the loose parts) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"update\"},{\"from\":\"update\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-depot-crates-k3","family_id":"depot-crates-001","pollution_operator":"temporal-supersession","propagation_depth":3,"language":"en","entity_type":"symbolic","invariant_target":"total = 4*24+11 = 107","paired_with":["rp-pilot-depot-crates-k1","rp-pilot-depot-crates-k2"],"final_question":"Using our fixed inputs, state the total number of parts (from the crates plus the loose parts) as a single number. End your reply with the number alone on the last line.","gold_answer":"107","distractor_markers":["131","120"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 4 crates, each crate holds 30 parts, and 11 loose parts must be added to any total.\",\"answer\":\"Noted as fixed inputs: crates = 4, parts per crate = 30, loose parts to add = 11.\"}},{\"id\":\"update\",\"role\":\"evidence\",\"content\":{\"question\":\"Correction from the recount: the earlier figure of 30 parts per crate was a counting error. The verified figure is 24. Update the fixed inputs.\",\"answer\":\"Updated: 30 per crate is retracted; verified figure is 24 parts per crate.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Actually, ignore that recount. I checked again and the original 30 per crate was right after all.\",\"answer\":\"Understood, reverting to 30 parts per crate.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many parts in total on the crates?\",\"answer\":\"With 4 crates and 30 parts each, that is 4 × 30 = 120.\"},\"note\":\"Frozen replay (clean value would be 96)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the loose parts from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 120 + 11 = 131.\"},\"note\":\"Frozen replay (clean value would be 107)\"},{\"id\":\"step-d\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: crates 4, parts per crate 30, subtotal 120, total 131.\"},\"note\":\"Derived restatement; no new facts or operations\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many parts in total on the crates?\",\"answer\":\"With 4 crates and 24 parts each, that is 4 × 24 = 96.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the loose parts from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 96 + 11 = 107.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-d-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: crates 4, parts per crate 24, subtotal 96, total 107.\"},\"note\":\"Clean restatement twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of parts (from the crates plus the loose parts) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"update\"},{\"from\":\"update\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"step-d\"},{\"from\":\"step-d\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"step-d-clean\"},{\"op\":\"add_edge\",\"from\":\"step-d-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\",\"step-d\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-clinic-slots-k1","family_id":"clinic-slots-001","pollution_operator":"temporal-supersession","propagation_depth":1,"language":"en","entity_type":"symbolic","invariant_target":"total = 5*21+6 = 111","paired_with":["rp-pilot-clinic-slots-k2","rp-pilot-clinic-slots-k3"],"final_question":"Using our fixed inputs, state the total number of slots (from the days plus the walk-in slots) as a single number. End your reply with the number alone on the last line.","gold_answer":"111","distractor_markers":["96","90"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 5 days, each day holds 18 slots, and 6 walk-in slots must be added to any total.\",\"answer\":\"Noted as fixed inputs: days = 5, slots per day = 18, walk-in slots to add = 6.\"}},{\"id\":\"update\",\"role\":\"evidence\",\"content\":{\"question\":\"Correction from the recount: the earlier figure of 18 slots per day was a counting error. The verified figure is 21. Update the fixed inputs.\",\"answer\":\"Updated: 18 per day is retracted; verified figure is 21 slots per day.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Actually, ignore that recount. I checked again and the original 18 per day was right after all.\",\"answer\":\"Understood, reverting to 18 slots per day.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many slots in total on the days?\",\"answer\":\"With 5 days and 18 slots each, that is 5 × 18 = 90.\"},\"note\":\"Frozen replay (clean value would be 105)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many slots in total on the days?\",\"answer\":\"With 5 days and 21 slots each, that is 5 × 21 = 105.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of slots (from the days plus the walk-in slots) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"update\"},{\"from\":\"update\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-clinic-slots-k2","family_id":"clinic-slots-001","pollution_operator":"temporal-supersession","propagation_depth":2,"language":"en","entity_type":"symbolic","invariant_target":"total = 5*21+6 = 111","paired_with":["rp-pilot-clinic-slots-k1","rp-pilot-clinic-slots-k3"],"final_question":"Using our fixed inputs, state the total number of slots (from the days plus the walk-in slots) as a single number. End your reply with the number alone on the last line.","gold_answer":"111","distractor_markers":["96","90"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 5 days, each day holds 18 slots, and 6 walk-in slots must be added to any total.\",\"answer\":\"Noted as fixed inputs: days = 5, slots per day = 18, walk-in slots to add = 6.\"}},{\"id\":\"update\",\"role\":\"evidence\",\"content\":{\"question\":\"Correction from the recount: the earlier figure of 18 slots per day was a counting error. The verified figure is 21. Update the fixed inputs.\",\"answer\":\"Updated: 18 per day is retracted; verified figure is 21 slots per day.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Actually, ignore that recount. I checked again and the original 18 per day was right after all.\",\"answer\":\"Understood, reverting to 18 slots per day.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many slots in total on the days?\",\"answer\":\"With 5 days and 18 slots each, that is 5 × 18 = 90.\"},\"note\":\"Frozen replay (clean value would be 105)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the walk-in slots from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 90 + 6 = 96.\"},\"note\":\"Frozen replay (clean value would be 111)\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many slots in total on the days?\",\"answer\":\"With 5 days and 21 slots each, that is 5 × 21 = 105.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the walk-in slots from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 105 + 6 = 111.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of slots (from the days plus the walk-in slots) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"update\"},{\"from\":\"update\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-clinic-slots-k3","family_id":"clinic-slots-001","pollution_operator":"temporal-supersession","propagation_depth":3,"language":"en","entity_type":"symbolic","invariant_target":"total = 5*21+6 = 111","paired_with":["rp-pilot-clinic-slots-k1","rp-pilot-clinic-slots-k2"],"final_question":"Using our fixed inputs, state the total number of slots (from the days plus the walk-in slots) as a single number. End your reply with the number alone on the last line.","gold_answer":"111","distractor_markers":["96","90"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 5 days, each day holds 18 slots, and 6 walk-in slots must be added to any total.\",\"answer\":\"Noted as fixed inputs: days = 5, slots per day = 18, walk-in slots to add = 6.\"}},{\"id\":\"update\",\"role\":\"evidence\",\"content\":{\"question\":\"Correction from the recount: the earlier figure of 18 slots per day was a counting error. The verified figure is 21. Update the fixed inputs.\",\"answer\":\"Updated: 18 per day is retracted; verified figure is 21 slots per day.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Actually, ignore that recount. I checked again and the original 18 per day was right after all.\",\"answer\":\"Understood, reverting to 18 slots per day.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many slots in total on the days?\",\"answer\":\"With 5 days and 18 slots each, that is 5 × 18 = 90.\"},\"note\":\"Frozen replay (clean value would be 105)\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the walk-in slots from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 90 + 6 = 96.\"},\"note\":\"Frozen replay (clean value would be 111)\"},{\"id\":\"step-d\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: days 5, slots per day 18, subtotal 90, total 96.\"},\"note\":\"Derived restatement; no new facts or operations\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many slots in total on the days?\",\"answer\":\"With 5 days and 21 slots each, that is 5 × 21 = 105.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the walk-in slots from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 105 + 6 = 111.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-d-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: days 5, slots per day 21, subtotal 105, total 111.\"},\"note\":\"Clean restatement twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of slots (from the days plus the walk-in slots) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"update\"},{\"from\":\"update\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"step-d\"},{\"from\":\"step-d\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"step-d-clean\"},{\"op\":\"add_edge\",\"from\":\"step-d-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"update\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\",\"step-d\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-orchard-bins-k1","family_id":"orchard-bins-001","pollution_operator":"irrelevant-distractor","propagation_depth":1,"language":"en","entity_type":"symbolic","invariant_target":"total = 7*13+18 = 109","paired_with":["rp-pilot-orchard-bins-k2","rp-pilot-orchard-bins-k3"],"final_question":"Using our fixed inputs, state the total number of apples (from the bins plus the windfall apples) as a single number. End your reply with the number alone on the last line.","gold_answer":"109","distractor_markers":["12","174","102"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 7 bins, each bin holds 13 apples, and 18 windfall apples must be added to any total.\",\"answer\":\"Noted as fixed inputs: bins = 7, apples per bin = 13, windfall apples to add = 18.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Side note before we continue: I visited the neighboring orchard yesterday. Interesting that they work with 12 there.\",\"answer\":\"Noted, though the neighboring orchard's 12 bins is unrelated to our count.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many apples in total on the bins?\",\"answer\":\"With 7 bins and 13 apples each, that is 7 × 13 = 91. (the neighboring orchard's 12 bins mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many apples in total on the bins?\",\"answer\":\"With 7 bins and 13 apples each, that is 7 × 13 = 91.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of apples (from the bins plus the windfall apples) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-orchard-bins-k2","family_id":"orchard-bins-001","pollution_operator":"irrelevant-distractor","propagation_depth":2,"language":"en","entity_type":"symbolic","invariant_target":"total = 7*13+18 = 109","paired_with":["rp-pilot-orchard-bins-k1","rp-pilot-orchard-bins-k3"],"final_question":"Using our fixed inputs, state the total number of apples (from the bins plus the windfall apples) as a single number. End your reply with the number alone on the last line.","gold_answer":"109","distractor_markers":["12","174","102"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 7 bins, each bin holds 13 apples, and 18 windfall apples must be added to any total.\",\"answer\":\"Noted as fixed inputs: bins = 7, apples per bin = 13, windfall apples to add = 18.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Side note before we continue: I visited the neighboring orchard yesterday. Interesting that they work with 12 there.\",\"answer\":\"Noted, though the neighboring orchard's 12 bins is unrelated to our count.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many apples in total on the bins?\",\"answer\":\"With 7 bins and 13 apples each, that is 7 × 13 = 91. (the neighboring orchard's 12 bins mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the windfall apples from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 91 + 18 = 109. (the neighboring orchard's 12 bins mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many apples in total on the bins?\",\"answer\":\"With 7 bins and 13 apples each, that is 7 × 13 = 91.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the windfall apples from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 91 + 18 = 109.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of apples (from the bins plus the windfall apples) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-orchard-bins-k3","family_id":"orchard-bins-001","pollution_operator":"irrelevant-distractor","propagation_depth":3,"language":"en","entity_type":"symbolic","invariant_target":"total = 7*13+18 = 109","paired_with":["rp-pilot-orchard-bins-k1","rp-pilot-orchard-bins-k2"],"final_question":"Using our fixed inputs, state the total number of apples (from the bins plus the windfall apples) as a single number. End your reply with the number alone on the last line.","gold_answer":"109","distractor_markers":["12","174","102"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 7 bins, each bin holds 13 apples, and 18 windfall apples must be added to any total.\",\"answer\":\"Noted as fixed inputs: bins = 7, apples per bin = 13, windfall apples to add = 18.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Side note before we continue: I visited the neighboring orchard yesterday. Interesting that they work with 12 there.\",\"answer\":\"Noted, though the neighboring orchard's 12 bins is unrelated to our count.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many apples in total on the bins?\",\"answer\":\"With 7 bins and 13 apples each, that is 7 × 13 = 91. (the neighboring orchard's 12 bins mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the windfall apples from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 91 + 18 = 109. (the neighboring orchard's 12 bins mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-d\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: bins 7, apples per bin 13, subtotal 91, total 109. (the neighboring orchard's 12 bins mentioned earlier is a separate matter.)\"},\"note\":\"Derived restatement; no new facts or operations\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many apples in total on the bins?\",\"answer\":\"With 7 bins and 13 apples each, that is 7 × 13 = 91.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the windfall apples from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 91 + 18 = 109.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-d-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: bins 7, apples per bin 13, subtotal 91, total 109.\"},\"note\":\"Clean restatement twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of apples (from the bins plus the windfall apples) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"step-d\"},{\"from\":\"step-d\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"step-d-clean\"},{\"op\":\"add_edge\",\"from\":\"step-d-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\",\"step-d\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-print-batches-k1","family_id":"print-batches-001","pollution_operator":"irrelevant-distractor","propagation_depth":1,"language":"en","entity_type":"symbolic","invariant_target":"total = 6*25+40 = 190","paired_with":["rp-pilot-print-batches-k2","rp-pilot-print-batches-k3"],"final_question":"Using our fixed inputs, state the total number of pages (from the batches plus the cover pages) as a single number. End your reply with the number alone on the last line.","gold_answer":"190","distractor_markers":["32","840","232"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 6 batches, each batch holds 25 pages, and 40 cover pages must be added to any total.\",\"answer\":\"Noted as fixed inputs: batches = 6, pages per batch = 25, cover pages to add = 40.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Side note before we continue: I visited the old printer yesterday. Interesting that they work with 32 there.\",\"answer\":\"Noted, though the old printer's 32-page batches is unrelated to our count.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many pages in total on the batches?\",\"answer\":\"With 6 batches and 25 pages each, that is 6 × 25 = 150. (the old printer's 32-page batches mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many pages in total on the batches?\",\"answer\":\"With 6 batches and 25 pages each, that is 6 × 25 = 150.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of pages (from the batches plus the cover pages) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-print-batches-k2","family_id":"print-batches-001","pollution_operator":"irrelevant-distractor","propagation_depth":2,"language":"en","entity_type":"symbolic","invariant_target":"total = 6*25+40 = 190","paired_with":["rp-pilot-print-batches-k1","rp-pilot-print-batches-k3"],"final_question":"Using our fixed inputs, state the total number of pages (from the batches plus the cover pages) as a single number. End your reply with the number alone on the last line.","gold_answer":"190","distractor_markers":["32","840","232"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 6 batches, each batch holds 25 pages, and 40 cover pages must be added to any total.\",\"answer\":\"Noted as fixed inputs: batches = 6, pages per batch = 25, cover pages to add = 40.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Side note before we continue: I visited the old printer yesterday. Interesting that they work with 32 there.\",\"answer\":\"Noted, though the old printer's 32-page batches is unrelated to our count.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many pages in total on the batches?\",\"answer\":\"With 6 batches and 25 pages each, that is 6 × 25 = 150. (the old printer's 32-page batches mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the cover pages from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 150 + 40 = 190. (the old printer's 32-page batches mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many pages in total on the batches?\",\"answer\":\"With 6 batches and 25 pages each, that is 6 × 25 = 150.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the cover pages from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 150 + 40 = 190.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of pages (from the batches plus the cover pages) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-print-batches-k3","family_id":"print-batches-001","pollution_operator":"irrelevant-distractor","propagation_depth":3,"language":"en","entity_type":"symbolic","invariant_target":"total = 6*25+40 = 190","paired_with":["rp-pilot-print-batches-k1","rp-pilot-print-batches-k2"],"final_question":"Using our fixed inputs, state the total number of pages (from the batches plus the cover pages) as a single number. End your reply with the number alone on the last line.","gold_answer":"190","distractor_markers":["32","840","232"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 6 batches, each batch holds 25 pages, and 40 cover pages must be added to any total.\",\"answer\":\"Noted as fixed inputs: batches = 6, pages per batch = 25, cover pages to add = 40.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Side note before we continue: I visited the old printer yesterday. Interesting that they work with 32 there.\",\"answer\":\"Noted, though the old printer's 32-page batches is unrelated to our count.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many pages in total on the batches?\",\"answer\":\"With 6 batches and 25 pages each, that is 6 × 25 = 150. (the old printer's 32-page batches mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the cover pages from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 150 + 40 = 190. (the old printer's 32-page batches mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-d\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: batches 6, pages per batch 25, subtotal 150, total 190. (the old printer's 32-page batches mentioned earlier is a separate matter.)\"},\"note\":\"Derived restatement; no new facts or operations\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many pages in total on the batches?\",\"answer\":\"With 6 batches and 25 pages each, that is 6 × 25 = 150.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the cover pages from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 150 + 40 = 190.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-d-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: batches 6, pages per batch 25, subtotal 150, total 190.\"},\"note\":\"Clean restatement twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of pages (from the batches plus the cover pages) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"step-d\"},{\"from\":\"step-d\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"step-d-clean\"},{\"op\":\"add_edge\",\"from\":\"step-d-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\",\"step-d\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-ferry-decks-k1","family_id":"ferry-decks-001","pollution_operator":"irrelevant-distractor","propagation_depth":1,"language":"en","entity_type":"symbolic","invariant_target":"total = 4*22+17 = 105","paired_with":["rp-pilot-ferry-decks-k2","rp-pilot-ferry-decks-k3"],"final_question":"Using our fixed inputs, state the total number of seats (from the decks plus the standing places) as a single number. End your reply with the number alone on the last line.","gold_answer":"105","distractor_markers":["5","127","37"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 4 decks, each deck holds 22 seats, and 17 standing places must be added to any total.\",\"answer\":\"Noted as fixed inputs: decks = 4, seats per deck = 22, standing places to add = 17.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Side note before we continue: I visited the sister ferry yesterday. Interesting that they work with 5 there.\",\"answer\":\"Noted, though the sister ferry's 5 decks is unrelated to our count.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many seats in total on the decks?\",\"answer\":\"With 4 decks and 22 seats each, that is 4 × 22 = 88. (the sister ferry's 5 decks mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many seats in total on the decks?\",\"answer\":\"With 4 decks and 22 seats each, that is 4 × 22 = 88.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of seats (from the decks plus the standing places) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-ferry-decks-k2","family_id":"ferry-decks-001","pollution_operator":"irrelevant-distractor","propagation_depth":2,"language":"en","entity_type":"symbolic","invariant_target":"total = 4*22+17 = 105","paired_with":["rp-pilot-ferry-decks-k1","rp-pilot-ferry-decks-k3"],"final_question":"Using our fixed inputs, state the total number of seats (from the decks plus the standing places) as a single number. End your reply with the number alone on the last line.","gold_answer":"105","distractor_markers":["5","127","37"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 4 decks, each deck holds 22 seats, and 17 standing places must be added to any total.\",\"answer\":\"Noted as fixed inputs: decks = 4, seats per deck = 22, standing places to add = 17.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Side note before we continue: I visited the sister ferry yesterday. Interesting that they work with 5 there.\",\"answer\":\"Noted, though the sister ferry's 5 decks is unrelated to our count.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many seats in total on the decks?\",\"answer\":\"With 4 decks and 22 seats each, that is 4 × 22 = 88. (the sister ferry's 5 decks mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the standing places from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 88 + 17 = 105. (the sister ferry's 5 decks mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many seats in total on the decks?\",\"answer\":\"With 4 decks and 22 seats each, that is 4 × 22 = 88.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the standing places from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 88 + 17 = 105.\"},\"note\":\"Clean replay twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of seats (from the decks plus the standing places) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}
{"case_id":"rp-pilot-ferry-decks-k3","family_id":"ferry-decks-001","pollution_operator":"irrelevant-distractor","propagation_depth":3,"language":"en","entity_type":"symbolic","invariant_target":"total = 4*22+17 = 105","paired_with":["rp-pilot-ferry-decks-k1","rp-pilot-ferry-decks-k2"],"final_question":"Using our fixed inputs, state the total number of seats (from the decks plus the standing places) as a single number. End your reply with the number alone on the last line.","gold_answer":"105","distractor_markers":["5","127","37"],"graph_json":"{\"nodes\":[{\"id\":\"given\",\"role\":\"background\",\"content\":{\"question\":\"For this planning task, keep these fixed inputs: there are 4 decks, each deck holds 22 seats, and 17 standing places must be added to any total.\",\"answer\":\"Noted as fixed inputs: decks = 4, seats per deck = 22, standing places to add = 17.\"}},{\"id\":\"pollution\",\"role\":\"pollution\",\"content\":{\"question\":\"Side note before we continue: I visited the sister ferry yesterday. Interesting that they work with 5 there.\",\"answer\":\"Noted, though the sister ferry's 5 decks is unrelated to our count.\"},\"note\":\"The pollution turn\"},{\"id\":\"step-b\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many seats in total on the decks?\",\"answer\":\"With 4 decks and 22 seats each, that is 4 × 22 = 88. (the sister ferry's 5 decks mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-c\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the standing places from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 88 + 17 = 105. (the sister ferry's 5 decks mentioned earlier is a separate matter.)\"},\"note\":\"Frozen replay\"},{\"id\":\"step-d\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: decks 4, seats per deck 22, subtotal 88, total 105. (the sister ferry's 5 decks mentioned earlier is a separate matter.)\"},\"note\":\"Derived restatement; no new facts or operations\"},{\"id\":\"step-b-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"So how many seats in total on the decks?\",\"answer\":\"With 4 decks and 22 seats each, that is 4 × 22 = 88.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-c-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Now include the standing places from our fixed inputs. What is the running total?\",\"answer\":\"Running total is 88 + 17 = 105.\"},\"note\":\"Clean replay twin\"},{\"id\":\"step-d-clean\",\"role\":\"contaminated-replay\",\"content\":{\"question\":\"Before we finish, restate our running numbers so far.\",\"answer\":\"Running numbers: decks 4, seats per deck 22, subtotal 88, total 105.\"},\"note\":\"Clean restatement twin\"},{\"id\":\"final\",\"role\":\"final-question\",\"content\":{\"question\":\"Using our fixed inputs, state the total number of seats (from the decks plus the standing places) as a single number. End your reply with the number alone on the last line.\",\"answer\":\"\"}}],\"edges\":[{\"from\":\"given\",\"to\":\"pollution\"},{\"from\":\"pollution\",\"to\":\"step-b\"},{\"from\":\"step-b\",\"to\":\"step-c\"},{\"from\":\"step-c\",\"to\":\"step-d\"},{\"from\":\"step-d\",\"to\":\"final\"}]}","conditions_json":"{\"clean\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b-clean\"},{\"op\":\"add_edge\",\"from\":\"step-b-clean\",\"to\":\"step-c-clean\"},{\"op\":\"add_edge\",\"from\":\"step-c-clean\",\"to\":\"step-d-clean\"},{\"op\":\"add_edge\",\"from\":\"step-d-clean\",\"to\":\"final\"}]},\"polluted\":{\"graph_ops\":[]},\"source_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"step-b\"}]},\"subgraph_prune\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}]},\"recompute_descendants\":{\"graph_ops\":[{\"op\":\"remove_node\",\"id\":\"pollution\"},{\"op\":\"remove_node\",\"id\":\"step-b\"},{\"op\":\"remove_node\",\"id\":\"step-c\"},{\"op\":\"remove_node\",\"id\":\"step-d\"},{\"op\":\"add_edge\",\"from\":\"given\",\"to\":\"final\"}],\"recompute_nodes\":[\"step-b\",\"step-c\",\"step-d\"]}}","scorer_json":"{\"type\":\"numeric-match\",\"normalize\":[],\"extract\":\"last-number\",\"gold_match\":\"equals\",\"format\":{\"type\":\"single-number\"}}","source_dataset":"synthetic-gsm-dag-pilot","case_format_version":2}