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KV2 causes L. L causes ptc.
Are L and ptc d-separated given {KV2}?
No
R1 causes u. R1 causes bJl. L0 causes bJl. L0 causes u. bJl causes u. bJl causes 42. h0j causes u. h0j causes 42. 42 causes u.
Are u and L0 d-separated given {42, bJl}?
No
GV4 causes 8r7. GV4 causes r1. 8r7 causes T. 8r7 causes r1. r1 causes T.
Are 8r7 and r1 d-separated given {GV4}?
No
k causes jYJ. k causes jYJ.
Are k and jYJ d-separated?
No
G causes HK. G causes 68. D causes w0i. D causes 68. xC causes w0i. xC causes HK. HK causes w0i. HK causes 68. 68 causes w0i.
Are 68 and D d-separated?
No
tc7 causes q6. tc7 causes AWm. tc7 causes Oo. K causes AWm. K causes Oo. K causes q6. q6 causes nZ. q6 causes Oo. q6 causes AWm. nZ causes Oo. nZ causes AWm. Oo causes AWm.
Are nZ and Oo d-separated?
No
zu0 causes lv. zu0 causes ltS. ltS causes lv. ltS causes Aq0. lv causes Aq0.
Are lv and Aq0 d-separated?
No
Br causes bj. S causes bj.
Are S and Br d-separated?
Yes
xL causes H. xL causes dw. dw causes H. dw causes lO. VQs causes AlU. VQs causes H. AlU causes lO. AlU causes H. H causes lO.
Are VQs and H d-separated given {lO, xL}?
No
R0 causes 9. R0 causes hUW. R0 causes 3G. lJ causes 4dt. lJ causes 3G. lJ causes hUW. hUW causes 4dt. hUW causes 9. hUW causes 3G. 4dt causes 9. 4dt causes 3G. 9 causes 3G.
Are 9 and lJ d-separated given {3G, R0, hUW}?
No
blJ causes S. blJ causes P. HA2 causes S. HA2 causes P. cH causes S. cH causes P. Az0 causes P. Az0 causes S. S causes P.
Are Az0 and blJ d-separated?
Yes
J causes nKT. J causes NZ. nKT causes 0IG. nKT causes wD. wD causes NZ. wD causes 0IG. NZ causes 0IG.
Are NZ and J d-separated given {nKT}?
No
n causes YBA. YBA causes 0bP.
Are YBA and 0bP d-separated given {n}?
No
A causes lkw. A causes EJ. lkw causes EJ. lkw causes ub5. EJ causes ub5.
Are EJ and ub5 d-separated?
No
Dpx causes B. 4iR causes B.
Are B and Dpx d-separated?
No
n4G causes Ic. n4G causes YEC. 5D causes O. 5D causes Ic. j causes Ic. j causes YEC. Ic causes O. Ic causes YEC. O causes YEC.
Are 5D and n4G d-separated given {Ic, YEC, j}?
No
2J causes 4. 2J causes E. 2J causes 5v. 5v causes b. 5v causes Smu. 5v causes 4. 4 causes E. 4 causes Smu. 4 causes b. E causes Smu. E causes b. b causes Smu.
Are E and 2J d-separated given {b}?
No
4Mk causes o. 6 causes Z. o causes Z.
Are 4Mk and 6 d-separated?
Yes
iCa causes D. 1D6 causes veI. veI causes D.
Are D and iCa d-separated given {1D6, veI}?
No
HW causes DiT. DiT causes Yhy. w causes Yhy.
Are HW and w d-separated given {DiT, Yhy}?
Yes
QE causes 4h. QE causes 4X. QE causes p. 2Bj causes Bw. 2Bj causes p. 2Bj causes 4h. p causes 4X. p causes 4h. p causes Bw. 4X causes 4h. 4X causes Bw. 4h causes Bw.
Are 4X and 2Bj d-separated given {Bw, QE}?
No
Iy3 causes tfK. Iy3 causes Y. n causes Y. n causes tfK. Y causes tfK.
Are Y and n d-separated given {tfK}?
No
Juw causes G. G causes y7. y7 causes o.
Are o and G d-separated given {Juw, y7}?
No
zOq causes 3Oa. e causes 3Oa. Sr causes 3Oa.
Are 3Oa and Sr d-separated?
No
E causes 6V. k0 causes 6V.
Are 6V and k0 d-separated given {E}?
No
hJ causes MQJ. hJ causes H. 4t6 causes MQJ. 4t6 causes H. MQJ causes H. MQJ causes VXN. 0 causes H. 0 causes VXN. H causes VXN.
Are H and VXN d-separated given {4t6, hJ}?
No
I causes R. b causes R.
Are R and I d-separated given {b}?
No
4 causes TC. TC causes e.
Are e and 4 d-separated given {TC}?
No
b causes w. ka causes U6. U6 causes w.
Are U6 and w d-separated?
No
j causes ay. j causes Fh8. 0VG causes Fh8. 0VG causes 1E. ay causes 1E. ay causes qe. qe causes Fh8. qe causes 1E. Fh8 causes 1E.
Are 1E and qe d-separated given {Fh8, ay, j}?
No
E causes oN. DN causes oN.
Are E and DN d-separated?
Yes
cQN causes 7N. 5 causes 7N.
Are 7N and cQN d-separated?
No
2 causes j. 2 causes HJv. HJv causes FU. HJv causes 9NK. FU causes 9NK. FU causes j. 9NK causes j.
Are j and 2 d-separated given {FU, HJv}?
No
1vs causes 2. 2 causes b.
Are b and 1vs d-separated given {2}?
No
a2 causes B. a2 causes uRH. lY causes f. lY causes B. f causes B. f causes uRH. OQ8 causes B. OQ8 causes uRH. uRH causes B.
Are a2 and OQ8 d-separated given {B, f, lY}?
No
yut causes yJ. I causes yJ.
Are I and yJ d-separated?
No
2P causes c. 2P causes g8Z. g8Z causes c. g8Z causes jl. c causes jl.
Are 2P and g8Z d-separated given {c, jl}?
No
d causes w. d causes 3d7. d causes jvK. 3d7 causes jvK. 3d7 causes x. 3d7 causes j. jvK causes x. jvK causes j. jvK causes w. j causes x. j causes w. w causes x.
Are x and d d-separated given {3d7}?
No
iJy causes T. iJy causes P. Ls causes 26z. Ls causes q. 26z causes T. 26z causes P. q causes P. q causes T. T causes P.
Are T and 26z d-separated?
No
vfa causes Pf. vfa causes 0n. nKE causes eW. nKE causes Pf. Pf causes 0n. Pf causes eW. eW causes 0n.
Are 0n and eW d-separated given {Pf, vfa}?
No
kFt causes e0. d causes Fc. Fc causes t2b. e0 causes t2b.
Are kFt and d d-separated given {t2b}?
No
DV causes Q6. DV causes wU. Q6 causes E. Q6 causes tGO. wU causes E. wU causes tGO. E causes tGO.
Are Q6 and DV d-separated given {E, wU}?
No
twl causes fS. fS causes s7E.
Are fS and s7E d-separated given {twl}?
No
At causes vc. At causes CCK. At causes kw. 8 causes CCK. 8 causes vc. 8 causes mTI. CCK causes kw. CCK causes vc. CCK causes mTI. kw causes mTI. kw causes vc. vc causes mTI.
Are kw and 8 d-separated?
No
a causes At. a causes 7. At causes H3. At causes W1. W1 causes H3. W1 causes 7. 4k causes H3. 4k causes 7. 7 causes H3.
Are a and 7 d-separated given {At}?
No
sGx causes m. sGx causes 3m. 73u causes 3m. 73u causes F65. 3m causes m. 3m causes F65. F65 causes m.
Are 73u and m d-separated given {3m, sGx}?
No
u7 causes iY. u7 causes 5R9. xH causes 5R9. xH causes Wt. iY causes Wt. iY causes yDy. 5R9 causes yDy. 5R9 causes Wt. yDy causes Wt.
Are Wt and iY d-separated given {5R9, xH}?
No
A causes uIv. A causes au7. uIv causes kW. uIv causes au7. rnR causes N5I. rnR causes kW. N5I causes kW. N5I causes au7. au7 causes kW.
Are rnR and A d-separated given {kW}?
No
63 causes 0hf. 63 causes BQO. 63 causes AT. AT causes BQO. AT causes 0hf. AT causes irI. irI causes BQO. irI causes u. irI causes 0hf. 0hf causes u. 0hf causes BQO. u causes BQO.
Are u and AT d-separated given {0hf, 63}?
No
V causes ax. nk7 causes ax. saj causes ax.
Are saj and nk7 d-separated?
Yes
ET causes hHE. hHE causes y.
Are ET and y d-separated?
No
vN causes qlA. XVR causes 2Mw. H causes V. 2Mw causes qlA. qlA causes V.
Are V and qlA d-separated given {H, XVR, vN}?
No
d causes 59. d causes swL. d causes Sj. ZNM causes a. ZNM causes 59. ZNM causes swL. swL causes 59. swL causes Sj. swL causes a. Sj causes 59. Sj causes a. 59 causes a.
Are ZNM and swL d-separated given {59, Sj, a}?
No
tp causes w2. Nad causes w2. 42i causes w2. Y causes w2.
Are Nad and 42i d-separated given {w2}?
No
40w causes Q. Q causes k.
Are Q and 40w d-separated?
No
z causes L6. L6 causes Y. Y causes F. F causes 4bX.
Are Y and L6 d-separated?
No
bqX causes Py. Py causes AXa.
Are AXa and bqX d-separated given {Py}?
No
n0i causes esm. j5H causes esm.
Are esm and j5H d-separated given {n0i}?
No
rb causes P0. rb causes qO. qO causes 6PJ. qO causes num. num causes 6PJ. num causes f. 6PJ causes f. 6PJ causes P0. f causes P0.
Are qO and f d-separated given {6PJ, num, rb}?
Yes
U causes 8s. 8s causes L. i5G causes L. CF causes L.
Are 8s and i5G d-separated?
Yes
F causes m. m causes i.
Are m and F d-separated given {i}?
No
e causes 3H. m causes WuI. WuI causes 3H.
Are 3H and e d-separated given {WuI, m}?
No
ed causes VCL. VCL causes 4AC. LZH causes 4AC.
Are VCL and ed d-separated given {4AC, LZH}?
No
jBp causes RhS. O causes RhS.
Are O and RhS d-separated?
No
r causes ku. r causes q. p0 causes ku. p0 causes q. ku causes q.
Are p0 and ku d-separated?
No
3eE causes nc. 3eE causes zM. nc causes P0m. nc causes zM. B causes xhU. B causes zM. P0m causes xhU. P0m causes zM. xhU causes zM.
Are nc and xhU d-separated given {3eE, B, P0m}?
Yes
F causes s. F causes By. By causes acy. By causes s. s causes acy.
Are s and By d-separated given {acy}?
No
g6 causes E. g6 causes AVI. AVI causes E. AVI causes qe. E causes qe. E causes 3. oGY causes 3. oGY causes qe. qe causes 3.
Are g6 and oGY d-separated given {3}?
No
x causes Z. 5Zo causes 9W3. Z causes Enj. 9W3 causes Enj.
Are 5Zo and Z d-separated given {9W3, Enj, x}?
Yes
7p4 causes N. N causes m. m causes g. wa causes g.
Are 7p4 and wa d-separated?
Yes
Ni causes D. zb8 causes D.
Are Ni and D d-separated given {zb8}?
No
6 causes HrJ. pWs causes HrJ. 8Uy causes HrJ. SB causes HrJ.
Are 8Uy and HrJ d-separated?
No
7g causes MP. 7g causes B5. B5 causes MP. B5 causes IS. IS causes MP. IS causes iF. MP causes iF.
Are MP and B5 d-separated?
No
Gx causes O. 3 causes O. JN causes O.
Are 3 and O d-separated given {Gx}?
No
Hd causes K. K causes R. R causes RV.
Are RV and Hd d-separated given {K}?
No
SC5 causes n. SC5 causes SX. SC5 causes ft. ft causes SX. ft causes n. ft causes lCK. SX causes e. SX causes lCK. SX causes n. e causes lCK. e causes n. n causes lCK.
Are e and SX d-separated?
No
lHZ causes U. lHZ causes Z4. bT causes 2AP. bT causes U. Z4 causes 2AP. Z4 causes U. 2AP causes U.
Are lHZ and bT d-separated given {Z4}?
Yes
tyo causes acC. tyo causes vv. acC causes vv. acC causes H. H causes D. H causes vv. D causes vv.
Are acC and vv d-separated given {D, H, tyo}?
No
H causes I3N. I3N causes L. L causes Df.
Are I3N and L d-separated given {Df, H}?
No
s causes 4c. s causes bsO. s causes gmW. gmW causes T. gmW causes Saw. gmW causes 4c. bsO causes T. bsO causes 4c. bsO causes Saw. T causes Saw. T causes 4c. 4c causes Saw.
Are 4c and Saw d-separated?
No
O causes 9t. O causes E3J. E3J causes 9t. E3J causes jh2. aOH causes jh2. aOH causes 9t. jh2 causes 9t.
Are O and 9t d-separated?
No
vqX causes 9mC. bG3 causes 9mC.
Are bG3 and vqX d-separated?
Yes
k causes 6. q73 causes 6. T causes 6.
Are q73 and k d-separated given {6, T}?
No
lo causes Y9. lo causes E. Y9 causes Z7. Y9 causes zFJ. zFJ causes QbJ. zFJ causes Z7. QbJ causes Z7. QbJ causes E. E causes Z7.
Are Y9 and zFJ d-separated given {E, lo}?
No
0F causes YJ. YJ causes QCv.
Are 0F and QCv d-separated given {YJ}?
Yes
jc causes pa1. jc causes NO. pa1 causes NO. pa1 causes 5za. Ct causes NO. Ct causes 5za. NO causes 5za. NO causes 0. 0 causes 5za.
Are NO and 5za d-separated given {Ct}?
No
w causes V. w causes R7y. I causes tR8. I causes V. R7y causes tR8. R7y causes V. tR8 causes V.
Are I and tR8 d-separated given {w}?
No
T causes Ng. Ng causes f.
Are f and T d-separated?
No
WAl causes e6p. WAl causes VG. e6p causes j. e6p causes VG. VG causes j.
Are j and VG d-separated given {WAl, e6p}?
No
gXG causes E. gXG causes n. E causes Z. E causes ba. ba causes KTm. ba causes n. n causes KTm. n causes Z. Z causes KTm.
Are Z and n d-separated given {KTm}?
No
jo causes r. rbc causes bzH. r causes VZp. VZp causes B. B causes bzH.
Are VZp and bzH d-separated given {B, jo}?
Yes
2qV causes y77. Ir causes y77.
Are y77 and Ir d-separated?
No
3 causes Pm. 3 causes M. WA causes M. WA causes Pm. M causes s. M causes Pm. s causes Pm.
Are M and Pm d-separated given {3, WA, s}?
No
BIp causes BsU. LY causes BsU.
Are BIp and BsU d-separated?
No
WJP causes y. WJP causes 4. y causes 1Z. y causes jG. gbU causes 1Z. gbU causes jG. 1Z causes 4. 1Z causes jG. 4 causes jG.
Are y and gbU d-separated?
Yes
e causes U8i. e causes St. St causes ymi. St causes d2. ymi causes d2. ymi causes U8i. jkZ causes d2. jkZ causes U8i. U8i causes d2.
Are ymi and jkZ d-separated given {St, U8i}?
No
6hw causes Bc. 6hw causes J4. 6hw causes 3E. Z causes Bc. Z causes ba. Z causes J4. 3E causes ba. 3E causes J4. 3E causes Bc. Bc causes ba. Bc causes J4. ba causes J4.
Are 6hw and Bc d-separated given {J4, Z, ba}?
No
6 causes q. 6 causes BWl. 7 causes LQP. 7 causes BWl. cIK causes BWl. cIK causes q. q causes LQP. q causes BWl. BWl causes LQP.
Are BWl and 6 d-separated?
No
bm1 causes i4P. Lk causes i4P. i4P causes w.
Are i4P and w d-separated?
No
pW causes l. pW causes b. b causes l. b causes Wf. Wf causes l.
Are b and l d-separated given {Wf, pW}?
No
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Causal Reasoning Benchmarks

Datasets used in "On Semantic Loss Fine-Tuning Approach for Preventing Model Collapse in Causal Reasoning" (Deshmukh & Gupta, 2026).

Dataset Structure

  • train/transitivity_train.jsonl — 50,000 transitivity training examples
  • train/dsep_train.jsonl — 50,000 d-separation training examples
  • eval/length_eval.jsonl — 10,000 length generalization examples
  • eval/branching_eval.jsonl — 10,000 branching structure examples
  • eval/reversed_eval.jsonl — 10,000 reversed edge examples
  • eval/shuffled_eval.jsonl — 10,000 shuffled premise examples
  • eval/long_names_eval.jsonl — 10,000 long node name examples

Data Format

Each JSONL line:

{"premise": "A causes B. B causes C.", "hypothesis": "Does A cause C?", "label": "Yes"}

Citation

@article{deshmukh2026semantic,
  title={On Semantic Loss Fine-Tuning Approach for Preventing Model Collapse in Causal Reasoning},
  author={Deshmukh, Pratik and Gupta, Atirek},
  year={2026}
}
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