case_id
string
role
string
k
int64
m
int64
factor_vertices
int64
product_vertices
int64
factor_root_curvature
string
product_root_edge_resistance
string
product_root_curvature
string
certificate_denominator
int64
certificate_numerators
list
T_2_1
negative_control
2
1
5
25
0
577/1100
-27/550
2,200
[ [ 0, 396, 484 ], [ 1154, 750, 653 ], [ 916, 797, 725 ], [ 254, 350, 403 ], [ 316, 347, 375 ] ]
T_2_2
counterexample
2
2
7
49
0
947/1974
40/987
7,896
[ [ 0, 1504, 1786 ], [ 3788, 2520, 2305 ], [ 3002, 2609, 2457 ], [ 1100, 1428, 1549 ], [ 1322, 1433, 1491 ] ]
T_3_4
counterexample
3
4
16
256
-1/2
467/1440
13/480
4,320
[ [ 0, 615, 690 ], [ 1401, 912, 859 ], [ 1038, 917, 888 ], [ 537, 624, 643 ], [ 606, 629, 636 ] ]