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sparse_constraints_candidate_selection
constraint_satisfaction
sparse_distance_constraints: [{"a":"P1","b":"P6","distance":5.271},{"a":"P1","b":"P5","distance":6.349},{"a":"P1","b":"P3","distance":5.508},{"a":"P3","b":"P6","distance":6.844},{"a":"P3","b":"P5","distance":8.031},{"a":"P4","b":"P5","distance":7.558},{"a":"P0","b":"P1","distance":7.26},{"a":"P2","b":"P5","distance":4....
{ "answer": "B", "answer_type": "multiple_choice" }
{ "n_points": 7, "n_constraints": 10, "ood": false }
ftb-core-v1-train-sparse_constraints_candidate_selection-02371
FTB-Core
1.0.0
train
proper_rigid_equivalence
se3_and_symmetry
structure_1_xyz: {"P0":[3.723,-0.968,0.681],"P1":[3.19,-1.693,0.472],"P2":[-2.395,2.409,-3.376],"P3":[-1.369,2.012,-1.378]} structure_2_xyz: {"P0":[-0.25,2.186,-2.242],"P1":[-0.726,2.336,-3.02],"P2":[3.723,-2.291,-7.67],"P3":[2.284,-2.198,-5.903]} Can structure_1 be mapped to structure_2 using only a proper 3D rotation...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-proper_rigid_equivalence-01920
FTB-Core
1.0.0
train
sparse_constraints_candidate_selection
constraint_satisfaction
sparse_distance_constraints: [{"a":"P5","b":"P6","distance":5.397},{"a":"P1","b":"P5","distance":5.404},{"a":"P0","b":"P5","distance":3.499},{"a":"P3","b":"P4","distance":4.669},{"a":"P1","b":"P3","distance":5.622},{"a":"P0","b":"P6","distance":3.622},{"a":"P2","b":"P5","distance":5.903},{"a":"P3","b":"P6","distance":5...
{ "answer": "B", "answer_type": "multiple_choice" }
{ "n_points": 7, "n_constraints": 10, "ood": false }
ftb-core-v1-train-sparse_constraints_candidate_selection-01350
FTB-Core
1.0.0
train
tetrahedral_chirality
spatial_primitives
ordered_points_xyz: {"A":[0.958,0.114,0.946],"B":[-1.747,-3.668,-1.672],"C":[-2.791,-1.001,3.548],"D":[-3.743,2.232,-2.365]} Compute sign(dot(cross(B-A,C-A),D-A)). Answer positive or negative.
{ "answer": "positive", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-tetrahedral_chirality-02863
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P1","b":"P4","distance":4.954,"confidence":0.51},{"a":"P1","b":"P2","distance":3.218,"confidence":0.66},{"a":"P0","b":"P4","distance":3.874,"confidence":0.88},{"a":"P4","b":"P6","distance":1.985,"confidence":0.89},{"a":"P0","b":"P1","distance":5.779,"confidence":0.59},{"a":"P2","b":"P6",...
{ "answer": "D", "answer_type": "multiple_choice" }
{ "n_points": 8, "n_evidence": 16, "ood": false }
ftb-core-v1-train-noisy_template_selection-02417
FTB-Core
1.0.0
train
fragment_interface_assembly
constraint_satisfaction
fixed_fragment_a_xyz: {"A0":[2.278,-0.56,-0.843],"A1":[-0.469,-2.777,-2.245],"A2":[-1.772,4.923,2.776],"A3":[-3.814,-0.836,-4.786]} interface_distance_constraints: [{"fragment_a":"A0","fragment_b":"B0","distance":3.496},{"fragment_a":"A3","fragment_b":"B1","distance":8.009},{"fragment_a":"A1","fragment_b":"B4","distanc...
{ "answer": "A", "answer_type": "multiple_choice" }
{ "n_fragment_a": 4, "n_fragment_b": 5, "n_constraints": 5, "ood": false }
ftb-core-v1-train-fragment_interface_assembly-01684
FTB-Core
1.0.0
train
straight_path_clearance
packing_and_clearance
moving_sphere: {"radius":0.664,"start":[-3.566,-4.137,-4.119],"end":[4.81,4.216,4.061]} stationary_obstacles: [{"id":"O0","center":[2.425,2.869,2.554],"radius":0.629},{"id":"O1","center":[-2.968,3.357,3.167],"radius":0.275},{"id":"O2","center":[-4.507,-4.048,5.848],"radius":0.713},{"id":"O3","center":[3.754,2.746,5.524...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_obstacles": 4, "ood": false }
ftb-core-v1-train-straight_path_clearance-00359
FTB-Core
1.0.0
train
straight_path_clearance
packing_and_clearance
moving_sphere: {"radius":0.442,"start":[-4.134,-3.536,-4.989],"end":[3.679,4.88,4.445]} stationary_obstacles: [{"id":"O0","center":[5.64,4.292,-3.828],"radius":0.578},{"id":"O1","center":[-0.013,4.495,2.009],"radius":0.318},{"id":"O2","center":[-3.84,-1.497,4.102],"radius":0.477}] Can the moving sphere travel along the...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_obstacles": 3, "ood": false }
ftb-core-v1-train-straight_path_clearance-00870
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P4","b":"P6","distance":5.536,"confidence":0.85},{"a":"P3","b":"P4","distance":2.982,"confidence":0.73},{"a":"P1","b":"P5","distance":5.59,"confidence":0.6},{"a":"P1","b":"P3","distance":6.356,"confidence":0.7},{"a":"P0","b":"P2","distance":4.203,"confidence":0.66},{"a":"P1","b":"P2","di...
{ "answer": "B", "answer_type": "multiple_choice" }
{ "n_points": 7, "n_evidence": 14, "ood": false }
ftb-core-v1-train-noisy_template_selection-02151
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[7.451,3.049,-0.608],"radius":0.802},{"id":"S1","center":[-6.276,-6.712,-5.416],"radius":0.325},{"id":"S2","center":[-0.347,-7.969,5.015],"radius":0.605},{"id":"S3","center":[0.49,-1.907,-6.902],"radius":0.37},{"id":"S4","center":[0.069,-3.3,-3.454],"radius":0.398},{"id":"S5","center":[1.0...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_objects": 7, "ood": false }
ftb-core-v1-train-sphere_collision-01840
FTB-Core
1.0.0
train
bond_angle
spatial_primitives
points_xyz: {"A":[4.527,2.9,2.964],"B":[0.956,3.746,-1.332],"C":[-1.382,-4.443,4.192]} What is angle ABC in degrees? Return one number.
{ "answer": 67.11, "answer_type": "number", "absolute_tolerance": 0.5 }
{ "n_points": 3, "ood": false }
ftb-core-v1-train-bond_angle-02858
FTB-Core
1.0.0
train
proper_rigid_equivalence
se3_and_symmetry
structure_1_xyz: {"P0":[3.785,-1.25,-2.531],"P1":[-2.405,-1.532,-3.584],"P2":[-2.579,3.746,0.975],"P3":[2.559,2.252,-2.556],"P4":[2.949,2.757,-0.251]} structure_2_xyz: {"P0":[1.982,2.5,-1.095],"P1":[3.382,8.066,1.47],"P2":[4.375,4.232,7.213],"P3":[4.791,1.902,1.255],"P4":[3.611,0.568,2.85]} Can structure_1 be mapped to...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_points": 5, "ood": false }
ftb-core-v1-train-proper_rigid_equivalence-01437
FTB-Core
1.0.0
train
weighted_contact_evidence
noisy_evidence_fusion
independent_evidence_sources: [{"source":"E0","claim":"contact","reliability":0.667},{"source":"E1","claim":"no_contact","reliability":0.609},{"source":"E2","claim":"contact","reliability":0.783},{"source":"E3","claim":"contact","reliability":0.913},{"source":"E4","claim":"contact","reliability":0.907},{"source":"E5","...
{ "answer": "contact", "answer_type": "binary_label" }
{ "n_sources": 9, "ood": false, "posterior_margin": 6.907 }
ftb-core-v1-train-weighted_contact_evidence-00897
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P0","b":"P1","distance":6.18,"confidence":0.79},{"a":"P2","b":"P3","distance":7.211,"confidence":0.71},{"a":"P1","b":"P2","distance":5.693,"confidence":0.59},{"a":"P1","b":"P4","distance":7.029,"confidence":0.69},{"a":"P0","b":"P4","distance":5.877,"confidence":0.82},{"a":"P3","b":"P4","...
{ "answer": "B", "answer_type": "multiple_choice" }
{ "n_points": 5, "n_evidence": 10, "ood": false }
ftb-core-v1-train-noisy_template_selection-01753
FTB-Core
1.0.0
train
weighted_contact_evidence
noisy_evidence_fusion
independent_evidence_sources: [{"source":"E0","claim":"contact","reliability":0.901},{"source":"E1","claim":"no_contact","reliability":0.916},{"source":"E2","claim":"contact","reliability":0.586},{"source":"E3","claim":"no_contact","reliability":0.764},{"source":"E4","claim":"contact","reliability":0.903},{"source":"E5...
{ "answer": "contact", "answer_type": "binary_label" }
{ "n_sources": 8, "ood": false, "posterior_margin": 2.518 }
ftb-core-v1-train-weighted_contact_evidence-01916
FTB-Core
1.0.0
train
fragment_interface_assembly
constraint_satisfaction
fixed_fragment_a_xyz: {"A0":[-1.825,-0.42,4.021],"A1":[4.144,-0.773,4.046],"A2":[3.057,2.432,0.488],"A3":[3.743,0.257,-2.288],"A4":[3.386,-3.578,-4.941]} interface_distance_constraints: [{"fragment_a":"A4","fragment_b":"B2","distance":8.919},{"fragment_a":"A2","fragment_b":"B3","distance":2.647},{"fragment_a":"A1","fra...
{ "answer": "A", "answer_type": "multiple_choice" }
{ "n_fragment_a": 5, "n_fragment_b": 5, "n_constraints": 5, "ood": false }
ftb-core-v1-train-fragment_interface_assembly-01841
FTB-Core
1.0.0
train
distance_constraint_audit
constraint_satisfaction
points_xyz: {"P0":[-2.965,-3.693,-3.415],"P1":[-2.559,-2.153,-0.433],"P2":[0.015,-2.825,2.108],"P3":[1.052,-2.175,-1.435],"P4":[2.419,0.375,-3.31],"P5":[3.37,-0.203,3.799],"P6":[0.071,-3.747,-0.291],"P7":[0.173,2.548,2.891]} claimed_distances: [{"id":"C0","a":"P2","b":"P4","distance":6.736},{"id":"C1","a":"P1","b":"P7"...
{ "answer": "C3", "answer_type": "label" }
{ "n_points": 8, "n_constraints": 12, "ood": false }
ftb-core-v1-train-distance_constraint_audit-01557
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[-1.68,2.157,2.763],"radius":0.273},{"id":"S1","center":[-7.544,2.102,-0.96],"radius":0.84},{"id":"S2","center":[-5.269,1.078,5.562],"radius":0.464},{"id":"S3","center":[-0.927,6.852,-0.826],"radius":0.631},{"id":"S4","center":[-2.699,2.334,-4.933],"radius":0.789}] Do any two closed sphere...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_objects": 5, "ood": false }
ftb-core-v1-train-sphere_collision-02733
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P0","b":"P1","distance":0.702,"confidence":0.54},{"a":"P0","b":"P5","distance":5.675,"confidence":0.66},{"a":"P1","b":"P4","distance":6.702,"confidence":0.93},{"a":"P1","b":"P3","distance":7.839,"confidence":0.64},{"a":"P0","b":"P2","distance":4.305,"confidence":0.84},{"a":"P1","b":"P5",...
{ "answer": "D", "answer_type": "multiple_choice" }
{ "n_points": 6, "n_evidence": 12, "ood": false }
ftb-core-v1-train-noisy_template_selection-01840
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[4.529,0.085,-1.811],"radius":0.819},{"id":"S1","center":[4.13,-0.003,-0.869],"radius":0.649},{"id":"S2","center":[-3.02,-2.05,-0.899],"radius":0.744},{"id":"S3","center":[-4.266,3.68,-0.085],"radius":0.299},{"id":"S4","center":[2.978,0.199,3.183],"radius":0.824}] Do any two closed spheres...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_objects": 5, "ood": false }
ftb-core-v1-train-sphere_collision-01128
FTB-Core
1.0.0
train
distance_constraint_audit
constraint_satisfaction
points_xyz: {"P0":[-2.011,2.378,-2.4],"P1":[0.93,-3.068,3.235],"P2":[2.246,-2.914,3.104],"P3":[0.188,-1.393,-1.025],"P4":[-2.117,0.701,-0.08],"P5":[-2.763,-2.786,-1.033],"P6":[2.983,-3.904,3.926],"P7":[-0.256,3.305,-2.808]} claimed_distances: [{"id":"C0","a":"P1","b":"P6","distance":2.322},{"id":"C1","a":"P1","b":"P4",...
{ "answer": "none", "answer_type": "label" }
{ "n_points": 8, "n_constraints": 12, "ood": false }
ftb-core-v1-train-distance_constraint_audit-00946
FTB-Core
1.0.0
train
straight_path_clearance
packing_and_clearance
moving_sphere: {"radius":0.579,"start":[-4.01,-4.938,-4.569],"end":[3.574,4.944,3.557]} stationary_obstacles: [{"id":"O0","center":[-1.331,-2.245,-1.861],"radius":0.302},{"id":"O1","center":[-2.22,2.091,-5.724],"radius":0.401},{"id":"O2","center":[-5.29,1.045,5.369],"radius":0.842},{"id":"O3","center":[-4.355,-2.128,-3...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_obstacles": 5, "ood": false }
ftb-core-v1-train-straight_path_clearance-02811
FTB-Core
1.0.0
train
signed_dihedral
spatial_primitives
ordered_points_xyz: {"A":[0.725,-1.495,-4.807],"B":[-2.05,1.094,1.17],"C":[-4.926,-0.648,-1.253],"D":[2.455,-3.219,-2.981]} What is the signed dihedral angle A-B-C-D in degrees in the range [-180,180]? Use the right-hand-rule atan2 convention. Return one number.
{ "answer": 20.57, "answer_type": "number", "absolute_tolerance": 1 }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-signed_dihedral-01350
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[-1.622,-1.196,2.384],"radius":0.897},{"id":"S1","center":[-2.062,-0.197,2.26],"radius":0.673},{"id":"S2","center":[-2.168,-0.43,4.572],"radius":0.725},{"id":"S3","center":[1.523,-4.142,-2.622],"radius":0.273}] Do any two closed spheres overlap in their interiors? Answer yes or no.
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_objects": 4, "ood": false }
ftb-core-v1-train-sphere_collision-00083
FTB-Core
1.0.0
train
fragment_interface_assembly
constraint_satisfaction
fixed_fragment_a_xyz: {"A0":[-3.638,-3.962,-2.085],"A1":[0.353,-4.672,-3.934],"A2":[3.945,4.617,-0.155],"A3":[0.799,3.562,4.539]} interface_distance_constraints: [{"fragment_a":"A1","fragment_b":"B1","distance":6.317},{"fragment_a":"A0","fragment_b":"B4","distance":6.116},{"fragment_a":"A1","fragment_b":"B3","distance"...
{ "answer": "B", "answer_type": "multiple_choice" }
{ "n_fragment_a": 4, "n_fragment_b": 5, "n_constraints": 5, "ood": false }
ftb-core-v1-train-fragment_interface_assembly-01195
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[4.273,-2.658,-4.405],"radius":0.468},{"id":"S1","center":[4.004,-2.254,-4.619],"radius":0.29},{"id":"S2","center":[-4.375,2.44,-4.131],"radius":0.539},{"id":"S3","center":[-2.54,-0.826,-1.427],"radius":0.897},{"id":"S4","center":[0.916,1.708,-4.486],"radius":0.251},{"id":"S5","center":[-4...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_objects": 6, "ood": false }
ftb-core-v1-train-sphere_collision-00941
FTB-Core
1.0.0
train
tetrahedral_chirality
spatial_primitives
ordered_points_xyz: {"A":[-3.652,-3.424,-3.288],"B":[0.626,1.611,-1.183],"C":[1.023,1.534,3.882],"D":[3.726,-1.149,3.87]} Compute sign(dot(cross(B-A,C-A),D-A)). Answer positive or negative.
{ "answer": "positive", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-tetrahedral_chirality-00977
FTB-Core
1.0.0
train
straight_path_clearance
packing_and_clearance
moving_sphere: {"radius":0.206,"start":[-3.393,-4.21,-4.052],"end":[3.242,3.165,4.672]} stationary_obstacles: [{"id":"O0","center":[1.691,2.188,2.647],"radius":0.816},{"id":"O1","center":[5.886,-3.813,-0.945],"radius":0.349},{"id":"O2","center":[-1.067,-0.551,4.702],"radius":0.323},{"id":"O3","center":[-3.232,-1.445,1....
{ "answer": "no", "answer_type": "binary_label" }
{ "n_obstacles": 4, "ood": false }
ftb-core-v1-train-straight_path_clearance-00584
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P4","b":"P5","distance":3.2,"confidence":1.0},{"a":"P0","b":"P2","distance":4.62,"confidence":0.8},{"a":"P2","b":"P4","distance":5.224,"confidence":0.74},{"a":"P0","b":"P4","distance":6.393,"confidence":0.83},{"a":"P1","b":"P5","distance":6.411,"confidence":0.66},{"a":"P1","b":"P2","dist...
{ "answer": "A", "answer_type": "multiple_choice" }
{ "n_points": 6, "n_evidence": 12, "ood": false }
ftb-core-v1-train-noisy_template_selection-01939
FTB-Core
1.0.0
train
sparse_constraints_candidate_selection
constraint_satisfaction
sparse_distance_constraints: [{"a":"P0","b":"P2","distance":5.53},{"a":"P4","b":"P6","distance":6.688},{"a":"P4","b":"P5","distance":3.382},{"a":"P2","b":"P4","distance":2.799},{"a":"P3","b":"P4","distance":4.0},{"a":"P1","b":"P4","distance":7.364},{"a":"P2","b":"P6","distance":8.677},{"a":"P1","b":"P3","distance":5.47...
{ "answer": "D", "answer_type": "multiple_choice" }
{ "n_points": 7, "n_constraints": 10, "ood": false }
ftb-core-v1-train-sparse_constraints_candidate_selection-02714
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[-2.143,-6.024,-6.237],"radius":0.712},{"id":"S1","center":[-7.274,5.418,-7.44],"radius":0.387},{"id":"S2","center":[5.488,6.845,0.57],"radius":0.343},{"id":"S3","center":[7.21,7.841,-7.618],"radius":0.268},{"id":"S4","center":[7.144,1.585,-2.178],"radius":0.671},{"id":"S5","center":[5.216...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_objects": 6, "ood": false }
ftb-core-v1-train-sphere_collision-02767
FTB-Core
1.0.0
train
sparse_constraints_candidate_selection
constraint_satisfaction
sparse_distance_constraints: [{"a":"P1","b":"P4","distance":6.772},{"a":"P0","b":"P1","distance":3.22},{"a":"P3","b":"P4","distance":9.08},{"a":"P1","b":"P3","distance":2.963},{"a":"P1","b":"P2","distance":1.987},{"a":"P0","b":"P4","distance":5.142},{"a":"P0","b":"P6","distance":7.263},{"a":"P1","b":"P5","distance":3.6...
{ "answer": "D", "answer_type": "multiple_choice" }
{ "n_points": 7, "n_constraints": 10, "ood": false }
ftb-core-v1-train-sparse_constraints_candidate_selection-02950
FTB-Core
1.0.0
train
signed_dihedral
spatial_primitives
ordered_points_xyz: {"A":[-0.606,4.842,2.721],"B":[4.06,-2.861,-4.84],"C":[-0.451,1.09,3.91],"D":[0.626,-3.36,1.452]} What is the signed dihedral angle A-B-C-D in degrees in the range [-180,180]? Use the right-hand-rule atan2 convention. Return one number.
{ "answer": 166.85, "answer_type": "number", "absolute_tolerance": 1 }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-signed_dihedral-00799
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P3","b":"P7","distance":4.437,"confidence":0.92},{"a":"P0","b":"P4","distance":2.056,"confidence":0.61},{"a":"P2","b":"P6","distance":4.236,"confidence":0.67},{"a":"P2","b":"P4","distance":7.465,"confidence":0.66},{"a":"P1","b":"P7","distance":3.768,"confidence":0.95},{"a":"P0","b":"P6",...
{ "answer": "C", "answer_type": "multiple_choice" }
{ "n_points": 8, "n_evidence": 16, "ood": false }
ftb-core-v1-train-noisy_template_selection-01235
FTB-Core
1.0.0
train
proper_rigid_equivalence
se3_and_symmetry
structure_1_xyz: {"P0":[-0.083,-2.667,-2.36],"P1":[2.721,1.87,-0.966],"P2":[2.431,0.289,-1.109],"P3":[1.984,0.052,-1.234]} structure_2_xyz: {"P0":[3.186,1.416,-2.049],"P1":[3.799,-2.655,1.618],"P2":[3.009,-1.574,0.718],"P3":[3.203,-1.174,0.447]} Can structure_1 be mapped to structure_2 using only a proper 3D rotation a...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-proper_rigid_equivalence-01137
FTB-Core
1.0.0
train
sparse_constraints_candidate_selection
constraint_satisfaction
sparse_distance_constraints: [{"a":"P0","b":"P1","distance":2.304},{"a":"P2","b":"P3","distance":4.785},{"a":"P2","b":"P4","distance":4.441},{"a":"P1","b":"P3","distance":1.353},{"a":"P0","b":"P3","distance":1.415},{"a":"P1","b":"P2","distance":4.912},{"a":"P0","b":"P4","distance":5.63}] candidate_structures: {"A":{"P0...
{ "answer": "C", "answer_type": "multiple_choice" }
{ "n_points": 5, "n_constraints": 7, "ood": false }
ftb-core-v1-train-sparse_constraints_candidate_selection-00248
FTB-Core
1.0.0
train
nearest_neighbor
spatial_primitives
points_xyz: {"P0":[0.98,-1.966,-3.115],"P1":[3.991,3.056,0.885],"P2":[1.593,2.879,3.092],"P3":[-3.074,-0.804,2.312],"P4":[-1.804,-1.069,-3.185],"P5":[0.011,1.606,-2.358],"P6":[0.492,2.772,3.576],"P7":[-1.277,2.193,-2.211]} Which point is nearest to P2? Answer with one point label.
{ "answer": "P6", "answer_type": "label" }
{ "n_points": 8, "ood": false }
ftb-core-v1-train-nearest_neighbor-02325
FTB-Core
1.0.0
train
tetrahedral_chirality
spatial_primitives
ordered_points_xyz: {"A":[1.067,3.372,3.151],"B":[2.771,2.875,-2.729],"C":[-0.343,0.622,-2.36],"D":[0.649,2.666,-2.487]} Compute sign(dot(cross(B-A,C-A),D-A)). Answer positive or negative.
{ "answer": "positive", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-tetrahedral_chirality-02626
FTB-Core
1.0.0
train
weighted_contact_evidence
noisy_evidence_fusion
independent_evidence_sources: [{"source":"E0","claim":"contact","reliability":0.626},{"source":"E1","claim":"contact","reliability":0.607},{"source":"E2","claim":"contact","reliability":0.909},{"source":"E3","claim":"no_contact","reliability":0.726},{"source":"E4","claim":"contact","reliability":0.673},{"source":"E5","...
{ "answer": "contact", "answer_type": "binary_label" }
{ "n_sources": 10, "ood": false, "posterior_margin": 3.075 }
ftb-core-v1-train-weighted_contact_evidence-01187
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[0.646,-1.329,4.403],"radius":0.257},{"id":"S1","center":[0.492,-1.693,4.189],"radius":0.385},{"id":"S2","center":[-1.338,-3.183,-0.759],"radius":0.743},{"id":"S3","center":[-4.418,3.522,-3.649],"radius":0.734},{"id":"S4","center":[-1.571,2.473,1.961],"radius":0.474},{"id":"S5","center":[2...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_objects": 7, "ood": false }
ftb-core-v1-train-sphere_collision-00927
FTB-Core
1.0.0
train
proper_rigid_equivalence
se3_and_symmetry
structure_1_xyz: {"P0":[-3.379,-3.983,3.087],"P1":[-0.847,1.398,3.061],"P2":[-2.552,-1.234,-3.987],"P3":[-0.215,1.401,3.037]} structure_2_xyz: {"P0":[1.405,2.308,6.856],"P1":[4.223,0.862,1.822],"P2":[-1.453,5.987,0.808],"P3":[3.989,0.362,1.513]} Can structure_1 be mapped to structure_2 using only a proper 3D rotation a...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-proper_rigid_equivalence-01909
FTB-Core
1.0.0
train
tetrahedral_chirality
spatial_primitives
ordered_points_xyz: {"A":[3.948,-0.77,1.611],"B":[-3.111,-3.48,-1.959],"C":[1.744,0.87,-0.663],"D":[0.177,0.537,-3.785]} Compute sign(dot(cross(B-A,C-A),D-A)). Answer positive or negative.
{ "answer": "positive", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-tetrahedral_chirality-00306
FTB-Core
1.0.0
train
tetrahedral_chirality
spatial_primitives
ordered_points_xyz: {"A":[0.457,-2.047,0.874],"B":[-0.644,2.091,2.308],"C":[1.388,-3.484,-3.545],"D":[-2.993,-3.268,-3.957]} Compute sign(dot(cross(B-A,C-A),D-A)). Answer positive or negative.
{ "answer": "positive", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-tetrahedral_chirality-01144
FTB-Core
1.0.0
train
proper_rigid_equivalence
se3_and_symmetry
structure_1_xyz: {"P0":[1.453,0.104,1.43],"P1":[3.26,-3.333,-3.207],"P2":[-3.579,3.372,-0.161],"P3":[-0.031,1.57,0.365],"P4":[-3.009,-1.73,0.391],"P5":[-3.863,3.862,-0.041]} structure_2_xyz: {"P0":[-2.178,-3.681,6.176],"P1":[-0.532,1.775,8.203],"P2":[-3.106,-3.496,0.042],"P3":[-2.979,-3.155,4.039],"P4":[1.26,-2.877,2.7...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_points": 6, "ood": false }
ftb-core-v1-train-proper_rigid_equivalence-00767
FTB-Core
1.0.0
train
bond_angle
spatial_primitives
points_xyz: {"A":[4.008,-2.941,1.889],"B":[-0.912,-1.139,-2.177],"C":[3.938,2.033,-0.722]} What is angle ABC in degrees? Return one number.
{ "answer": 52.61, "answer_type": "number", "absolute_tolerance": 0.5 }
{ "n_points": 3, "ood": false }
ftb-core-v1-train-bond_angle-00692
FTB-Core
1.0.0
train
sparse_constraints_candidate_selection
constraint_satisfaction
sparse_distance_constraints: [{"a":"P1","b":"P2","distance":2.749},{"a":"P0","b":"P5","distance":3.827},{"a":"P0","b":"P1","distance":3.273},{"a":"P2","b":"P4","distance":3.424},{"a":"P1","b":"P5","distance":6.463},{"a":"P0","b":"P3","distance":3.891},{"a":"P0","b":"P4","distance":3.156},{"a":"P0","b":"P2","distance":1...
{ "answer": "A", "answer_type": "multiple_choice" }
{ "n_points": 6, "n_constraints": 8, "ood": false }
ftb-core-v1-train-sparse_constraints_candidate_selection-00338
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[-4.337,-4.913,1.454],"radius":0.466},{"id":"S1","center":[-4.58,-5.703,1.271],"radius":0.743},{"id":"S2","center":[-0.341,-0.569,-3.635],"radius":0.327},{"id":"S3","center":[0.077,2.854,-4.87],"radius":0.7},{"id":"S4","center":[4.88,-2.429,-2.097],"radius":0.306},{"id":"S5","center":[3.79...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_objects": 6, "ood": false }
ftb-core-v1-train-sphere_collision-01674
FTB-Core
1.0.0
train
sparse_constraints_candidate_selection
constraint_satisfaction
sparse_distance_constraints: [{"a":"P1","b":"P5","distance":6.295},{"a":"P1","b":"P4","distance":2.952},{"a":"P0","b":"P4","distance":2.678},{"a":"P3","b":"P6","distance":3.494},{"a":"P4","b":"P5","distance":5.642},{"a":"P3","b":"P5","distance":7.324},{"a":"P3","b":"P4","distance":4.63},{"a":"P0","b":"P2","distance":8....
{ "answer": "C", "answer_type": "multiple_choice" }
{ "n_points": 7, "n_constraints": 10, "ood": false }
ftb-core-v1-train-sparse_constraints_candidate_selection-01635
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P4","b":"P6","distance":4.314,"confidence":0.65},{"a":"P1","b":"P2","distance":3.832,"confidence":0.9},{"a":"P2","b":"P5","distance":2.789,"confidence":0.75},{"a":"P2","b":"P3","distance":5.354,"confidence":0.67},{"a":"P2","b":"P6","distance":4.253,"confidence":0.57},{"a":"P1","b":"P5","...
{ "answer": "C", "answer_type": "multiple_choice" }
{ "n_points": 7, "n_evidence": 14, "ood": false }
ftb-core-v1-train-noisy_template_selection-01392
FTB-Core
1.0.0
train
signed_dihedral
spatial_primitives
ordered_points_xyz: {"A":[2.932,-3.915,1.672],"B":[-2.285,-2.897,-1.412],"C":[-1.882,3.31,-1.727],"D":[1.104,-2.141,-3.287]} What is the signed dihedral angle A-B-C-D in degrees in the range [-180,180]? Use the right-hand-rule atan2 convention. Return one number.
{ "answer": 58.7, "answer_type": "number", "absolute_tolerance": 1 }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-signed_dihedral-02813
FTB-Core
1.0.0
train
bond_angle
spatial_primitives
points_xyz: {"A":[1.258,-2.644,4.938],"B":[-2.565,-4.406,2.468],"C":[3.46,-2.808,-0.841]} What is angle ABC in degrees? Return one number.
{ "answer": 59.12, "answer_type": "number", "absolute_tolerance": 0.5 }
{ "n_points": 3, "ood": false }
ftb-core-v1-train-bond_angle-00150
FTB-Core
1.0.0
train
straight_path_clearance
packing_and_clearance
moving_sphere: {"radius":0.22,"start":[-3.229,-3.318,-3.23],"end":[3.815,4.135,3.067]} stationary_obstacles: [{"id":"O0","center":[0.939,0.289,0.365],"radius":0.754},{"id":"O1","center":[-0.35,-1.621,-1.479],"radius":0.381},{"id":"O2","center":[-1.948,-3.388,-5.625],"radius":0.424}] Can the moving sphere travel along t...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_obstacles": 3, "ood": false }
ftb-core-v1-train-straight_path_clearance-01539
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[-5.561,0.689,4.347],"radius":0.64},{"id":"S1","center":[-5.832,-3.73,-2.65],"radius":0.263},{"id":"S2","center":[-0.468,-3.641,-3.543],"radius":0.452},{"id":"S3","center":[1.52,4.477,3.297],"radius":0.631},{"id":"S4","center":[-1.034,4.143,1.965],"radius":0.839}] Do any two closed spheres...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_objects": 5, "ood": false }
ftb-core-v1-train-sphere_collision-01198
FTB-Core
1.0.0
train
tetrahedral_chirality
spatial_primitives
ordered_points_xyz: {"A":[1.455,-3.522,-0.579],"B":[-1.085,-2.616,-2.572],"C":[2.941,-2.078,2.948],"D":[-0.485,-2.894,2.428]} Compute sign(dot(cross(B-A,C-A),D-A)). Answer positive or negative.
{ "answer": "negative", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-tetrahedral_chirality-01047
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P2","b":"P4","distance":2.993,"confidence":0.5},{"a":"P0","b":"P3","distance":6.263,"confidence":0.95},{"a":"P1","b":"P4","distance":3.574,"confidence":0.52},{"a":"P0","b":"P2","distance":6.465,"confidence":0.76},{"a":"P1","b":"P3","distance":2.998,"confidence":0.7},{"a":"P3","b":"P4","d...
{ "answer": "D", "answer_type": "multiple_choice" }
{ "n_points": 5, "n_evidence": 10, "ood": false }
ftb-core-v1-train-noisy_template_selection-02196
FTB-Core
1.0.0
train
tetrahedral_chirality
spatial_primitives
ordered_points_xyz: {"A":[0.475,3.359,2.313],"B":[-1.664,-0.835,3.865],"C":[-2.421,0.608,2.052],"D":[0.489,2.581,-2.506]} Compute sign(dot(cross(B-A,C-A),D-A)). Answer positive or negative.
{ "answer": "positive", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-tetrahedral_chirality-02918
FTB-Core
1.0.0
train
proper_rigid_equivalence
se3_and_symmetry
structure_1_xyz: {"P0":[-1.365,-1.548,2.573],"P1":[2.493,-0.947,-3.166],"P2":[-1.776,3.956,1.395],"P3":[-0.763,-2.168,2.792],"P4":[-2.446,3.301,-0.371],"P5":[-3.54,-0.403,-0.887],"P6":[1.299,-0.095,-0.933]} structure_2_xyz: {"P0":[2.8,-1.05,-2.117],"P1":[-4.124,-0.675,-1.793],"P2":[1.189,-4.815,-6.001],"P3":[2.75,-0.89...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_points": 7, "ood": false }
ftb-core-v1-train-proper_rigid_equivalence-00772
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[3.08,2.282,-1.854],"radius":0.263},{"id":"S1","center":[-7.192,3.937,3.327],"radius":0.781},{"id":"S2","center":[7.908,1.382,0.58],"radius":0.494},{"id":"S3","center":[-7.838,-2.441,-4.788],"radius":0.801},{"id":"S4","center":[2.777,5.446,7.396],"radius":0.337},{"id":"S5","center":[7.363,...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_objects": 7, "ood": false }
ftb-core-v1-train-sphere_collision-02993
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[0.781,2.387,2.405],"radius":0.257},{"id":"S1","center":[0.782,1.83,2.688],"radius":0.637},{"id":"S2","center":[3.271,1.551,-4.792],"radius":0.386},{"id":"S3","center":[-1.455,3.671,3.815],"radius":0.553},{"id":"S4","center":[2.715,2.953,0.157],"radius":0.768}] Do any two closed spheres ov...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_objects": 5, "ood": false }
ftb-core-v1-train-sphere_collision-00084
FTB-Core
1.0.0
train
fragment_interface_assembly
constraint_satisfaction
fixed_fragment_a_xyz: {"A0":[2.71,1.474,2.467],"A1":[-3.411,0.584,-1.626],"A2":[4.647,-1.733,1.956],"A3":[0.658,-0.624,-1.655],"A4":[-4.04,-4.455,4.269]} interface_distance_constraints: [{"fragment_a":"A0","fragment_b":"B0","distance":2.012},{"fragment_a":"A2","fragment_b":"B1","distance":7.255},{"fragment_a":"A4","fra...
{ "answer": "B", "answer_type": "multiple_choice" }
{ "n_fragment_a": 5, "n_fragment_b": 4, "n_constraints": 5, "ood": false }
ftb-core-v1-train-fragment_interface_assembly-00975
FTB-Core
1.0.0
train
signed_dihedral
spatial_primitives
ordered_points_xyz: {"A":[-1.167,0.831,1.836],"B":[-3.331,4.571,0.816],"C":[4.919,0.207,3.651],"D":[-4.285,3.574,4.441]} What is the signed dihedral angle A-B-C-D in degrees in the range [-180,180]? Use the right-hand-rule atan2 convention. Return one number.
{ "answer": -71.85, "answer_type": "number", "absolute_tolerance": 1 }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-signed_dihedral-00714
FTB-Core
1.0.0
train
distance_constraint_audit
constraint_satisfaction
points_xyz: {"P0":[-3.983,-0.211,-0.703],"P1":[0.557,-1.061,-2.155],"P2":[-2.462,-2.278,0.126],"P3":[-3.388,0.518,-2.07],"P4":[1.191,-3.879,3.721],"P5":[-2.633,-2.881,0.287]} claimed_distances: [{"id":"C0","a":"P0","b":"P4","distance":7.733},{"id":"C1","a":"P2","b":"P4","distance":5.37},{"id":"C2","a":"P0","b":"P5","di...
{ "answer": "none", "answer_type": "label" }
{ "n_points": 6, "n_constraints": 10, "ood": false }
ftb-core-v1-train-distance_constraint_audit-01243
FTB-Core
1.0.0
train
straight_path_clearance
packing_and_clearance
moving_sphere: {"radius":0.262,"start":[-3.342,-4.836,-4.84],"end":[3.539,3.56,3.916]} stationary_obstacles: [{"id":"O0","center":[5.59,5.206,-1.024],"radius":0.426},{"id":"O1","center":[2.395,-5.665,0.497],"radius":0.648},{"id":"O2","center":[2.588,-0.765,-3.06],"radius":0.328},{"id":"O3","center":[-5.099,4.858,4.479]...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_obstacles": 5, "ood": false }
ftb-core-v1-train-straight_path_clearance-01706
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[2.807,-3.332,1.826],"radius":0.525},{"id":"S1","center":[0.572,7.681,6.848],"radius":0.736},{"id":"S2","center":[2.294,-7.577,6.702],"radius":0.417},{"id":"S3","center":[-2.448,5.109,-1.379],"radius":0.35},{"id":"S4","center":[-6.684,2.561,2.412],"radius":0.648},{"id":"S5","center":[4.101...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_objects": 6, "ood": false }
ftb-core-v1-train-sphere_collision-02785
FTB-Core
1.0.0
train
nearest_neighbor
spatial_primitives
points_xyz: {"P0":[2.722,-0.045,-0.521],"P1":[-3.748,0.243,-3.102],"P2":[-3.172,0.251,0.691],"P3":[1.572,3.629,2.926],"P4":[-3.142,-1.884,-3.159]} Which point is nearest to P1? Answer with one point label.
{ "answer": "P4", "answer_type": "label" }
{ "n_points": 5, "ood": false }
ftb-core-v1-train-nearest_neighbor-02598
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P1","b":"P3","distance":3.887,"confidence":0.42},{"a":"P0","b":"P3","distance":4.387,"confidence":0.88},{"a":"P2","b":"P3","distance":2.022,"confidence":0.52},{"a":"P0","b":"P4","distance":6.691,"confidence":0.57},{"a":"P3","b":"P4","distance":6.875,"confidence":0.72},{"a":"P0","b":"P1",...
{ "answer": "C", "answer_type": "multiple_choice" }
{ "n_points": 7, "n_evidence": 14, "ood": false }
ftb-core-v1-train-noisy_template_selection-00993
FTB-Core
1.0.0
train
proper_rigid_equivalence
se3_and_symmetry
structure_1_xyz: {"P0":[-0.862,-1.307,-2.636],"P1":[2.383,2.782,-2.167],"P2":[2.581,-1.419,-2.931],"P3":[0.661,-3.277,-2.71],"P4":[-2.719,2.646,-0.928]} structure_2_xyz: {"P0":[2.772,7.832,2.511],"P1":[6.687,6.374,-0.653],"P2":[6.144,8.288,3.131],"P3":[3.922,8.515,4.614],"P4":[1.63,5.014,-1.058]} Can structure_1 be map...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_points": 5, "ood": false }
ftb-core-v1-train-proper_rigid_equivalence-02207
FTB-Core
1.0.0
train
signed_dihedral
spatial_primitives
ordered_points_xyz: {"A":[-2.947,-3.861,-4.95],"B":[-4.299,-4.359,-4.022],"C":[-1.952,4.047,-1.255],"D":[-4.011,-3.066,0.181]} What is the signed dihedral angle A-B-C-D in degrees in the range [-180,180]? Use the right-hand-rule atan2 convention. Return one number.
{ "answer": -135.4, "answer_type": "number", "absolute_tolerance": 1 }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-signed_dihedral-00823
FTB-Core
1.0.0
train
fragment_interface_assembly
constraint_satisfaction
fixed_fragment_a_xyz: {"A0":[-3.251,3.1,1.101],"A1":[1.254,-2.792,1.367],"A2":[2.758,2.867,1.27],"A3":[-3.68,-0.69,1.555]} interface_distance_constraints: [{"fragment_a":"A3","fragment_b":"B3","distance":3.15},{"fragment_a":"A1","fragment_b":"B2","distance":5.211},{"fragment_a":"A2","fragment_b":"B2","distance":10.065}...
{ "answer": "D", "answer_type": "multiple_choice" }
{ "n_fragment_a": 4, "n_fragment_b": 4, "n_constraints": 5, "ood": false }
ftb-core-v1-train-fragment_interface_assembly-01119
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[-4.393,-2.828,4.785],"radius":0.413},{"id":"S1","center":[-5.896,-1.629,-3.427],"radius":0.787},{"id":"S2","center":[-2.426,-0.362,-2.982],"radius":0.346},{"id":"S3","center":[-1.521,6.862,1.899],"radius":0.441},{"id":"S4","center":[-7.104,-2.67,5.305],"radius":0.516}] Do any two closed s...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_objects": 5, "ood": false }
ftb-core-v1-train-sphere_collision-01510
FTB-Core
1.0.0
train
straight_path_clearance
packing_and_clearance
moving_sphere: {"radius":0.611,"start":[-3.887,-4.385,-4.031],"end":[3.94,4.478,3.294]} stationary_obstacles: [{"id":"O0","center":[2.313,4.594,-4.704],"radius":0.389},{"id":"O1","center":[-0.666,-0.447,4.866],"radius":0.712},{"id":"O2","center":[5.855,-4.649,-1.386],"radius":0.427},{"id":"O3","center":[5.255,-5.389,-0...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_obstacles": 6, "ood": false }
ftb-core-v1-train-straight_path_clearance-02757
FTB-Core
1.0.0
train
sparse_constraints_candidate_selection
constraint_satisfaction
sparse_distance_constraints: [{"a":"P3","b":"P4","distance":6.116},{"a":"P1","b":"P2","distance":3.639},{"a":"P1","b":"P5","distance":3.46},{"a":"P5","b":"P6","distance":3.174},{"a":"P2","b":"P5","distance":5.919},{"a":"P0","b":"P6","distance":3.932},{"a":"P0","b":"P2","distance":4.339},{"a":"P0","b":"P5","distance":1....
{ "answer": "C", "answer_type": "multiple_choice" }
{ "n_points": 7, "n_constraints": 10, "ood": false }
ftb-core-v1-train-sparse_constraints_candidate_selection-00439
FTB-Core
1.0.0
train
nearest_neighbor
spatial_primitives
points_xyz: {"P0":[-2.084,1.868,-0.259],"P1":[1.861,-2.582,-3.937],"P2":[-3.239,1.315,-3.634],"P3":[3.019,3.859,1.314],"P4":[0.429,-1.563,2.011],"P5":[-2.03,2.18,-3.991],"P6":[3.847,3.763,-0.937],"P7":[-3.15,2.151,2.382]} Which point is nearest to P1? Answer with one point label.
{ "answer": "P5", "answer_type": "label" }
{ "n_points": 8, "ood": false }
ftb-core-v1-train-nearest_neighbor-01516
FTB-Core
1.0.0
train
weighted_contact_evidence
noisy_evidence_fusion
independent_evidence_sources: [{"source":"E0","claim":"contact","reliability":0.656},{"source":"E1","claim":"contact","reliability":0.819},{"source":"E2","claim":"contact","reliability":0.66},{"source":"E3","claim":"no_contact","reliability":0.848},{"source":"E4","claim":"contact","reliability":0.776},{"source":"E5","c...
{ "answer": "contact", "answer_type": "binary_label" }
{ "n_sources": 7, "ood": false, "posterior_margin": 1.12 }
ftb-core-v1-train-weighted_contact_evidence-00664
FTB-Core
1.0.0
train
distance_constraint_audit
constraint_satisfaction
points_xyz: {"P0":[1.785,0.605,-3.889],"P1":[3.889,-0.706,0.161],"P2":[-2.028,-3.334,-1.224],"P3":[-1.022,1.103,-0.755],"P4":[-1.401,0.023,-1.074]} claimed_distances: [{"id":"C0","a":"P0","b":"P2","distance":6.096},{"id":"C1","a":"P2","b":"P4","distance":3.418},{"id":"C2","a":"P0","b":"P1","distance":4.748},{"id":"C3",...
{ "answer": "none", "answer_type": "label" }
{ "n_points": 5, "n_constraints": 9, "ood": false }
ftb-core-v1-train-distance_constraint_audit-00910
FTB-Core
1.0.0
train
distance_constraint_audit
constraint_satisfaction
points_xyz: {"P0":[-1.272,-2.713,0.929],"P1":[-2.06,-1.621,-1.875],"P2":[-0.004,-3.369,1.189],"P3":[2.377,-2.46,1.546],"P4":[3.706,-2.356,-2.956],"P5":[1.011,1.343,-3.271],"P6":[0.673,0.119,-2.837]} claimed_distances: [{"id":"C0","a":"P0","b":"P5","distance":6.269},{"id":"C1","a":"P1","b":"P3","distance":5.665},{"id":"...
{ "answer": "C9", "answer_type": "label" }
{ "n_points": 7, "n_constraints": 11, "ood": false }
ftb-core-v1-train-distance_constraint_audit-02319
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P0","b":"P2","distance":7.397,"confidence":0.44},{"a":"P2","b":"P3","distance":8.076,"confidence":0.52},{"a":"P1","b":"P2","distance":2.775,"confidence":0.83},{"a":"P2","b":"P4","distance":5.584,"confidence":0.65},{"a":"P3","b":"P4","distance":4.198,"confidence":0.41},{"a":"P1","b":"P3",...
{ "answer": "D", "answer_type": "multiple_choice" }
{ "n_points": 5, "n_evidence": 10, "ood": false }
ftb-core-v1-train-noisy_template_selection-01888
FTB-Core
1.0.0
train
distance_constraint_audit
constraint_satisfaction
points_xyz: {"P0":[2.915,3.666,1.881],"P1":[3.39,-0.074,-1.245],"P2":[-2.785,-1.816,3.934],"P3":[0.824,3.391,-0.045],"P4":[-3.709,0.926,-0.491],"P5":[3.063,-0.421,0.111],"P6":[2.353,2.585,3.63],"P7":[-1.954,3.22,-0.594]} claimed_distances: [{"id":"C0","a":"P0","b":"P7","distance":5.48},{"id":"C1","a":"P0","b":"P4","dis...
{ "answer": "C6", "answer_type": "label" }
{ "n_points": 8, "n_constraints": 12, "ood": false }
ftb-core-v1-train-distance_constraint_audit-01454
FTB-Core
1.0.0
train
bond_angle
spatial_primitives
points_xyz: {"A":[-2.326,-2.925,-1.754],"B":[-3.274,2.599,-4.676],"C":[0.06,-4.974,-1.725]} What is angle ABC in degrees? Return one number.
{ "answer": 15.07, "answer_type": "number", "absolute_tolerance": 0.5 }
{ "n_points": 3, "ood": false }
ftb-core-v1-train-bond_angle-02179
FTB-Core
1.0.0
train
weighted_contact_evidence
noisy_evidence_fusion
independent_evidence_sources: [{"source":"E0","claim":"contact","reliability":0.777},{"source":"E1","claim":"contact","reliability":0.659},{"source":"E2","claim":"contact","reliability":0.598},{"source":"E3","claim":"contact","reliability":0.779},{"source":"E4","claim":"contact","reliability":0.56},{"source":"E5","clai...
{ "answer": "contact", "answer_type": "binary_label" }
{ "n_sources": 6, "ood": false, "posterior_margin": 3.383 }
ftb-core-v1-train-weighted_contact_evidence-02923
FTB-Core
1.0.0
train
straight_path_clearance
packing_and_clearance
moving_sphere: {"radius":0.628,"start":[-4.289,-3.143,-3.248],"end":[3.149,3.095,3.847]} stationary_obstacles: [{"id":"O0","center":[-0.443,-0.38,-0.714],"radius":0.74},{"id":"O1","center":[2.449,2.725,1.292],"radius":0.41},{"id":"O2","center":[0.664,0.126,-3.524],"radius":0.791}] Can the moving sphere travel along the...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_obstacles": 3, "ood": false }
ftb-core-v1-train-straight_path_clearance-02583
FTB-Core
1.0.0
train
fragment_interface_assembly
constraint_satisfaction
fixed_fragment_a_xyz: {"A0":[1.784,-0.626,0.026],"A1":[-2.041,4.199,-0.402],"A2":[-3.573,2.418,0.52],"A3":[1.592,4.681,-1.892]} interface_distance_constraints: [{"fragment_a":"A3","fragment_b":"B3","distance":5.088},{"fragment_a":"A3","fragment_b":"B4","distance":5.862},{"fragment_a":"A2","fragment_b":"B3","distance":1...
{ "answer": "B", "answer_type": "multiple_choice" }
{ "n_fragment_a": 4, "n_fragment_b": 5, "n_constraints": 5, "ood": false }
ftb-core-v1-train-fragment_interface_assembly-02627
FTB-Core
1.0.0
train
bond_angle
spatial_primitives
points_xyz: {"A":[-1.883,1.997,2.94],"B":[-2.603,-1.971,-3.426],"C":[-1.451,-1.361,2.366]} What is angle ABC in degrees? Return one number.
{ "answer": 26.26, "answer_type": "number", "absolute_tolerance": 0.5 }
{ "n_points": 3, "ood": false }
ftb-core-v1-train-bond_angle-00937
FTB-Core
1.0.0
train
straight_path_clearance
packing_and_clearance
moving_sphere: {"radius":0.306,"start":[-4.494,-4.763,-4.974],"end":[3.241,3.994,3.248]} stationary_obstacles: [{"id":"O0","center":[1.605,1.716,2.023],"radius":0.805},{"id":"O1","center":[1.435,4.06,-0.102],"radius":0.807},{"id":"O2","center":[4.828,-0.784,-5.979],"radius":0.396},{"id":"O3","center":[0.114,5.383,-2.56...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_obstacles": 5, "ood": false }
ftb-core-v1-train-straight_path_clearance-00078
FTB-Core
1.0.0
train
weighted_contact_evidence
noisy_evidence_fusion
independent_evidence_sources: [{"source":"E0","claim":"contact","reliability":0.6},{"source":"E1","claim":"no_contact","reliability":0.792},{"source":"E2","claim":"no_contact","reliability":0.813},{"source":"E3","claim":"no_contact","reliability":0.764},{"source":"E4","claim":"contact","reliability":0.703},{"source":"E...
{ "answer": "no_contact", "answer_type": "binary_label" }
{ "n_sources": 7, "ood": false, "posterior_margin": 2.824 }
ftb-core-v1-train-weighted_contact_evidence-02369
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P2","b":"P4","distance":6.325,"confidence":0.44},{"a":"P1","b":"P2","distance":4.819,"confidence":0.94},{"a":"P4","b":"P6","distance":4.987,"confidence":0.79},{"a":"P2","b":"P5","distance":7.876,"confidence":0.42},{"a":"P3","b":"P6","distance":8.12,"confidence":0.53},{"a":"P1","b":"P5","...
{ "answer": "D", "answer_type": "multiple_choice" }
{ "n_points": 8, "n_evidence": 16, "ood": false }
ftb-core-v1-train-noisy_template_selection-01288
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P3","b":"P5","distance":5.246,"confidence":0.85},{"a":"P1","b":"P3","distance":6.704,"confidence":0.78},{"a":"P3","b":"P7","distance":4.768,"confidence":0.57},{"a":"P2","b":"P7","distance":5.104,"confidence":0.92},{"a":"P0","b":"P2","distance":6.584,"confidence":0.8},{"a":"P6","b":"P7","...
{ "answer": "C", "answer_type": "multiple_choice" }
{ "n_points": 8, "n_evidence": 16, "ood": false }
ftb-core-v1-train-noisy_template_selection-00900
FTB-Core
1.0.0
train
sphere_collision
packing_and_clearance
spheres: [{"id":"S0","center":[-7.364,1.839,2.538],"radius":0.781},{"id":"S1","center":[1.317,-1.72,5.885],"radius":0.843},{"id":"S2","center":[-0.174,7.665,-0.667],"radius":0.57},{"id":"S3","center":[0.321,-0.486,-5.315],"radius":0.833},{"id":"S4","center":[-4.943,5.919,3.62],"radius":0.741},{"id":"S5","center":[-6.14...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_objects": 7, "ood": false }
ftb-core-v1-train-sphere_collision-02868
FTB-Core
1.0.0
train
distance_constraint_audit
constraint_satisfaction
points_xyz: {"P0":[0.132,-3.178,0.016],"P1":[3.682,-0.173,1.786],"P2":[-0.924,1.702,-1.507],"P3":[-2.86,-2.663,-0.575],"P4":[-0.918,2.761,3.197],"P5":[-3.591,1.106,-3.833]} claimed_distances: [{"id":"C0","a":"P0","b":"P1","distance":4.976},{"id":"C1","a":"P3","b":"P4","distance":6.886},{"id":"C2","a":"P1","b":"P4","dis...
{ "answer": "C5", "answer_type": "label" }
{ "n_points": 6, "n_constraints": 10, "ood": false }
ftb-core-v1-train-distance_constraint_audit-01543
FTB-Core
1.0.0
train
sparse_constraints_candidate_selection
constraint_satisfaction
sparse_distance_constraints: [{"a":"P2","b":"P4","distance":5.766},{"a":"P0","b":"P3","distance":5.936},{"a":"P0","b":"P2","distance":5.514},{"a":"P0","b":"P1","distance":5.831},{"a":"P1","b":"P2","distance":2.34},{"a":"P2","b":"P6","distance":3.669},{"a":"P0","b":"P5","distance":5.448},{"a":"P1","b":"P3","distance":6....
{ "answer": "B", "answer_type": "multiple_choice" }
{ "n_points": 7, "n_constraints": 10, "ood": false }
ftb-core-v1-train-sparse_constraints_candidate_selection-00628
FTB-Core
1.0.0
train
bond_angle
spatial_primitives
points_xyz: {"A":[3.553,-4.857,3.317],"B":[2.144,4.033,-3.426],"C":[-3.924,0.267,3.651]} What is angle ABC in degrees? Return one number.
{ "answer": 50.02, "answer_type": "number", "absolute_tolerance": 0.5 }
{ "n_points": 3, "ood": false }
ftb-core-v1-train-bond_angle-02164
FTB-Core
1.0.0
train
proper_rigid_equivalence
se3_and_symmetry
structure_1_xyz: {"P0":[-2.737,-1.52,3.788],"P1":[3.896,3.629,-2.147],"P2":[2.568,2.629,2.079],"P3":[-1.84,1.699,1.877]} structure_2_xyz: {"P0":[4.45,1.82,3.411],"P1":[-2.672,-5.587,3.038],"P2":[-1.256,-1.782,5.07],"P3":[3.226,-1.635,4.59]} Can structure_1 be mapped to structure_2 using only a proper 3D rotation and tr...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-proper_rigid_equivalence-02331
FTB-Core
1.0.0
train
bond_angle
spatial_primitives
points_xyz: {"A":[4.572,2.993,3.179],"B":[3.089,4.476,-3.164],"C":[-3.977,2.041,4.494]} What is angle ABC in degrees? Return one number.
{ "answer": 54.31, "answer_type": "number", "absolute_tolerance": 0.5 }
{ "n_points": 3, "ood": false }
ftb-core-v1-train-bond_angle-02160
FTB-Core
1.0.0
train
proper_rigid_equivalence
se3_and_symmetry
structure_1_xyz: {"P0":[0.65,-1.539,-0.005],"P1":[-3.539,2.263,0.101],"P2":[-0.362,-3.754,3.761],"P3":[-1.907,-1.421,2.396]} structure_2_xyz: {"P0":[4.853,3.957,2.636],"P1":[3.729,1.419,-2.294],"P2":[8.639,1.781,3.66],"P3":[6.896,1.558,1.09]} Can structure_1 be mapped to structure_2 using only a proper 3D rotation and ...
{ "answer": "yes", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-proper_rigid_equivalence-02113
FTB-Core
1.0.0
train
noisy_template_selection
noisy_evidence_fusion
noisy_distance_evidence: [{"a":"P0","b":"P4","distance":2.805,"confidence":0.87},{"a":"P2","b":"P4","distance":8.355,"confidence":0.89},{"a":"P1","b":"P4","distance":4.878,"confidence":0.54},{"a":"P3","b":"P4","distance":4.295,"confidence":0.48},{"a":"P1","b":"P2","distance":7.615,"confidence":0.91},{"a":"P1","b":"P3",...
{ "answer": "A", "answer_type": "multiple_choice" }
{ "n_points": 5, "n_evidence": 10, "ood": false }
ftb-core-v1-train-noisy_template_selection-00327
FTB-Core
1.0.0
train
fragment_interface_assembly
constraint_satisfaction
fixed_fragment_a_xyz: {"A0":[4.596,1.378,-1.147],"A1":[2.74,-4.756,3.706],"A2":[4.877,-0.323,-0.004],"A3":[-3.144,-0.682,-1.871],"A4":[-4.555,0.745,-0.819]} interface_distance_constraints: [{"fragment_a":"A4","fragment_b":"B1","distance":9.285},{"fragment_a":"A2","fragment_b":"B1","distance":3.155},{"fragment_a":"A0","...
{ "answer": "B", "answer_type": "multiple_choice" }
{ "n_fragment_a": 5, "n_fragment_b": 4, "n_constraints": 5, "ood": false }
ftb-core-v1-train-fragment_interface_assembly-00447
FTB-Core
1.0.0
train
straight_path_clearance
packing_and_clearance
moving_sphere: {"radius":0.237,"start":[-3.424,-4.615,-3.588],"end":[4.905,4.062,4.72]} stationary_obstacles: [{"id":"O0","center":[-1.001,-1.367,-0.355],"radius":0.807},{"id":"O1","center":[-0.727,3.412,-4.577],"radius":0.422},{"id":"O2","center":[-5.079,-5.138,5.08],"radius":0.614},{"id":"O3","center":[1.949,-4.946,-...
{ "answer": "no", "answer_type": "binary_label" }
{ "n_obstacles": 5, "ood": false }
ftb-core-v1-train-straight_path_clearance-00512
FTB-Core
1.0.0
train
distance_constraint_audit
constraint_satisfaction
points_xyz: {"P0":[0.851,2.348,2.688],"P1":[-0.804,-1.003,-2.5],"P2":[3.732,-3.105,-2.344],"P3":[-2.4,-2.91,1.166],"P4":[0.796,3.741,0.615]} claimed_distances: [{"id":"C0","a":"P0","b":"P1","distance":6.394},{"id":"C1","a":"P0","b":"P4","distance":1.377},{"id":"C2","a":"P1","b":"P4","distance":5.897},{"id":"C3","a":"P2...
{ "answer": "C1", "answer_type": "label" }
{ "n_points": 5, "n_constraints": 9, "ood": false }
ftb-core-v1-train-distance_constraint_audit-00337
FTB-Core
1.0.0
train
tetrahedral_chirality
spatial_primitives
ordered_points_xyz: {"A":[1.769,-1.687,3.937],"B":[2.136,0.546,2.993],"C":[-0.705,-0.626,-0.115],"D":[3.437,0.1,-2.844]} Compute sign(dot(cross(B-A,C-A),D-A)). Answer positive or negative.
{ "answer": "negative", "answer_type": "binary_label" }
{ "n_points": 4, "ood": false }
ftb-core-v1-train-tetrahedral_chirality-02912
FTB-Core
1.0.0
train
weighted_contact_evidence
noisy_evidence_fusion
independent_evidence_sources: [{"source":"E0","claim":"contact","reliability":0.589},{"source":"E1","claim":"contact","reliability":0.619},{"source":"E2","claim":"no_contact","reliability":0.582},{"source":"E3","claim":"contact","reliability":0.78},{"source":"E4","claim":"contact","reliability":0.857},{"source":"E5","c...
{ "answer": "contact", "answer_type": "binary_label" }
{ "n_sources": 7, "ood": false, "posterior_margin": 3.443 }
ftb-core-v1-train-weighted_contact_evidence-01327
FTB-Core
1.0.0
train
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FTB-Core v1

Fold2Reason project-generated spatial reasoning benchmark. The four splits contain 36,000 train, 6,000 validation, 6,000 test, and 6,000 out-of-distribution test questions. The paper's FTB-Core evaluation uses test plus test_ood.

from datasets import load_dataset
dataset = load_dataset("GENTEL-Lab/FTB-Core-v1")

Paper: https://huggingface.co/papers/2609.38879
Code and evaluation protocol: https://github.com/GENTEL-lab/Fold2Reason

Source: project dataset.zip, SHA-256 97ef38130fec0b7caaa323022d5b7bef620e7b26dfa42a1da4713066806dd90b. Original compressed JSONL files are unchanged; see SOURCE_PROVENANCE.json for file hashes.

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Paper for GENTEL-Lab/FTB-Core-v1