Datasets:
sabakublashvili
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idef-geobench

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Here are some portion of full dataset problems(40 problems)
GIVEN:
POINTS A,B,C,O,H,G,M_AB,M_BC,M_AC
EQLEN O A O B
EQLEN O B O C
COL A B M_AB
EQLEN A M_AB M_AB B
COL B C M_BC
EQLEN B M_BC M_BC C
COL A C M_AC
EQLEN A M_AC M_AC C
PERP B C A H
PERP A C B H
COL A M_BC G
COL B M_AC G
GOAL:
COL O G H
GIVEN:
POINTS O,A,B,C,D,M1,M2
# A,B,C,D on the same circle centered at O
EQLEN O A O B
EQLEN O A O C
EQLEN O C O D
# M1, M2 are midpoints of AB and CD (via ⟂ from O)
COL A B M1
PERP A B M1 O
EQLEN A M1 M1 B
COL C D M2
PERP C D M2 O
EQLEN C M2 M2 D
# Equal offsets from the center
EQLEN O M1 O M2
GOAL:
EQLEN A B C D
GIVEN:
POINTS A,B,C,D,O
# A,B,C,D concyclic with center O
EQLEN O A O B
EQLEN O B O C
EQLEN O C O D
# Goal: ∠BAD = ∠BCD
GOAL:
EQANG B A D B C D
GIVEN:
POINTS A,B,C,D
EQLEN A B A D
EQLEN C B C D
GOAL:
PERP A C B D
GIVEN:
POINTS O,A,B,C,D,M1,M2
EQLEN O A O B
EQLEN O A O C
EQLEN O C O D
COL A B M1
PERP A B M1 O
EQLEN A M1 M1 B
COL C D M2
PERP C D M2 O
EQLEN C M2 M2 D
PAR A B C D
GOAL:
COL O M1 M2
GIVEN:
POINTS A,B,C,M
COL B C M
EQLEN B M M C
PERP B C A M
GOAL:
EQLEN A B A C
GIVEN:
POINTS A,B,C,O,H,H_A,M_A
EQLEN O A O B
EQLEN O B O C
PERP B C A H
PERP A C B H
COL B C M_A
EQLEN H M_A M_A H_A
PERP H H_A B C
GOAL:
CYCLIC H_A A B C
GIVEN:
POINTS A,B,C,A1,B1,C1,X,Y,Z