task_physics__thermal_mixing__final_temperature_value

Summary

• Domain: physics
• Scene id: thermal_mixing
• Implementation source: src/trace_tasks/tasks/physics/thermal_mixing/final_temperature_value.py

Task Contract

Computes the final equilibrium temperature after equal amounts of the same liquid are mixed in an insulated container.

Program Contract

Program: integer(average(initial_temperatures_same_liquid_equal_amounts_insulated_system)); scene=thermal_mixing; scope=final_temperature_value

Candidate set: the visible containers, initial temperature labels, masses or mixture labels, and final-state cue inside the final_temperature_value objective scope. Operands: initial_temperatures (visual_operand_set, allowed 2..4 visible Celsius cup labels, source program_schema_concrete); same_liquid (semantic_condition, allowed true, source prompt_and_scene_contract); equal_amounts (semantic_condition, allowed true, source prompt_and_scene_contract); insulated_system (semantic_condition, allowed true, source prompt_and_scene_contract). Operation: evaluate integer over the candidate set using the visible quantities, relations, branch semantics, and formulas encoded in the program expression; generation enforces a unique final answer. Output binding: answer uses the integer schema; The answer value is the integer final equilibrium temperature in degrees Celsius. Annotation witnesses: bbox_set witnesses from the finalized render. Annotation is an unordered set of bounding boxes around the visible initial temperature labels used in the average. Annotation must not mark the cup bodies, final mixing container, hidden derived final temperature, decorative arrows, title text, background grid, or prompt-only assumptions. Query ids: single.

Reasoning Operations

Families: aggregation, formula_evaluation

Query Branches

Query id	Program schema
single	integer(average(initial_temperatures_same_liquid_equal_amounts_insulated_system)); scene=thermal_mixing; scope=final_temperature_value

Program Metadata

• Program signatures: physics.final_temperature_value
• Base program contract: integer(average(initial_temperatures_same_liquid_equal_amounts_insulated_system)); scene=thermal_mixing; scope=final_temperature_value
• Parameter axes: cup_count, initial_temperature_set, final_temperature_c
• Arguments:
• initial_temperatures: visual_operand_set; allowed 2..4 visible Celsius cup labels; source program_schema_concrete
• same_liquid: semantic_condition; allowed true; source prompt_and_scene_contract
• equal_amounts: semantic_condition; allowed true; source prompt_and_scene_contract
• insulated_system: semantic_condition; allowed true; source prompt_and_scene_contract
• Argument metadata status: curated
• Supported query ids: single

Answer Contract

• Answer schema: integer
• Generator answer_gt.type: integer
• The answer value is the integer final equilibrium temperature in degrees Celsius.

Annotation Contract

• Annotation schema: bbox_set
• Generator annotation_gt.type: bbox_set
• Annotation is an unordered set of bounding boxes around the visible initial temperature labels used in the average.
• Annotation must not mark the cup bodies, final mixing container, hidden derived final temperature, decorative arrows, title text, background grid, or prompt-only assumptions.
• Annotation and answer must be projected from the same generated execution trace, not inferred from pixels or prompt text.

Prompt And Trace Requirements

• Prompt text must come from the physics_thermal_mixing_v1 prompt bundle, with scene and task/query layers selected deterministically and recorded in metadata.
• Render randomness, sampled fonts/styles, cup count, initial temperature set, final average, and verifier payloads must be explicit in the instance trace.
• Initial temperatures must be constructed so their average is an integer. Cup order, liquid color, cup count, and layout must remain non-semantic visual variation axes.