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9
direction
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2 values
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167
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167
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bool
2 classes
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12
12
p_yes
float64
0
1
p_no
float64
0
1
yes_no_mass
float64
0
1
says_yes
bool
2 classes
model_response
stringclasses
45 values
model
stringclasses
2 values
stage
stringclasses
5 values
template
stringclasses
2 values
P26
plausible_negative
Q10007
Q4844452
forward
question
Daqingfawang
Empress Wang Xijie
false
2541972c5129
0.3245
0.54893
0.87343
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Daqingfawang
Empress Xiao Duan Xian
false
a08e6c2ce19b
0.312559
0.592917
0.905476
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Daqingfawang
Empress Xiaoduanxian
false
f36490bf806d
0.325697
0.590403
0.9161
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Daqingfawang
Wang Xijie
false
5d849ca2119a
0.371844
0.489038
0.860882
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Emperor Cheng Te
Empress Wang Xijie
false
96a777f5a5c1
0.616721
0.347193
0.963914
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Emperor Cheng Te
Empress Xiao Duan Xian
false
ad8c7c6f24e1
0.708636
0.260578
0.969213
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Emperor Cheng Te
Empress Xiaoduanxian
false
3b8951f69c1e
0.795615
0.183452
0.979066
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Emperor Cheng Te
Wang Xijie
false
74af3a590868
0.372023
0.554288
0.926312
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Emperor Wuzong of Ming
Empress Wang Xijie
false
e2786d53f547
0.792256
0.190871
0.983127
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Emperor Wuzong of Ming
Empress Xiao Duan Xian
false
cd3d8712c47b
0.812463
0.169966
0.982429
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Emperor Wuzong of Ming
Empress Xiaoduanxian
false
0277c1dffbb2
0.843714
0.143792
0.987506
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Emperor Wuzong of Ming
Wang Xijie
false
7ac3e660193c
0.553574
0.404658
0.958232
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Shou
Empress Wang Xijie
false
9b17bbb26d53
0.510512
0.454551
0.965064
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Shou
Empress Xiao Duan Xian
false
a220550e2f60
0.477174
0.490555
0.96773
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Shou
Empress Xiaoduanxian
false
e0e7195d0228
0.537536
0.435729
0.973265
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Shou
Wang Xijie
false
f9e9dae6ed72
0.557426
0.392758
0.950185
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde
Empress Wang Xijie
false
552980367729
0.532102
0.448462
0.980564
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde
Empress Xiao Duan Xian
false
00fa949d42c8
0.522769
0.457871
0.98064
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde
Empress Xiaoduanxian
false
08320641fe9a
0.553633
0.427144
0.980777
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde
Wang Xijie
false
1e2b53dd48af
0.355454
0.590063
0.945518
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde Emperor
Empress Wang Xijie
false
bcf2ceed01bc
0.648015
0.333386
0.981402
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde Emperor
Empress Xiao Duan Xian
false
14c404f67e48
0.657492
0.322318
0.979809
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde Emperor
Empress Xiaoduanxian
false
5036af8dfe84
0.713188
0.270921
0.984109
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde Emperor
Wang Xijie
false
41794bb4197f
0.26523
0.681802
0.947032
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde Emperor of China
Empress Wang Xijie
false
b774dc9bc153
0.679907
0.299065
0.978972
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde Emperor of China
Empress Xiao Duan Xian
false
34ed6747af9a
0.705616
0.272576
0.978192
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde Emperor of China
Empress Xiaoduanxian
false
691d152a84e8
0.748192
0.236641
0.984833
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
forward
question
Zhengde Emperor of China
Wang Xijie
false
7871bc559407
0.330951
0.621121
0.952073
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Daqingfawang
Empress Wang Xijie
false
26a2f1906ad7
0.393195
0.510868
0.904063
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Daqingfawang
Empress Xiao Duan Xian
false
c9cadc1cb5ad
0.496622
0.454278
0.950901
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Daqingfawang
Empress Xiaoduanxian
false
8291b8f4375d
0.512363
0.432156
0.944519
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Daqingfawang
Wang Xijie
false
442dd5a7a9ce
0.281463
0.501376
0.782838
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Emperor Cheng Te
Empress Wang Xijie
false
b4876e00427e
0.574193
0.393968
0.968161
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Emperor Cheng Te
Empress Xiao Duan Xian
false
f1a797928643
0.703398
0.279688
0.983087
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Emperor Cheng Te
Empress Xiaoduanxian
false
f0a345946062
0.708412
0.271623
0.980034
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Emperor Cheng Te
Wang Xijie
false
3503bf03680e
0.276433
0.614986
0.891418
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Emperor Wuzong of Ming
Empress Wang Xijie
false
9e30ec078c16
0.542659
0.433676
0.976335
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Emperor Wuzong of Ming
Empress Xiao Duan Xian
false
c213118e83a5
0.667025
0.315284
0.982309
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Emperor Wuzong of Ming
Empress Xiaoduanxian
false
6519ffd0f514
0.672803
0.307149
0.979952
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Emperor Wuzong of Ming
Wang Xijie
false
4577b466dd48
0.120413
0.819733
0.940146
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Shou
Empress Wang Xijie
false
a4d8ad433d98
0.613629
0.364264
0.977893
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Shou
Empress Xiao Duan Xian
false
c43fe1d724ce
0.628619
0.350166
0.978785
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Shou
Empress Xiaoduanxian
false
b20be63da461
0.661194
0.319363
0.980557
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Shou
Wang Xijie
false
cd5afc7ede5a
0.537379
0.404331
0.94171
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde
Empress Wang Xijie
false
421a6684c83c
0.633561
0.347771
0.981332
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde
Empress Xiao Duan Xian
false
b87a9bfd0fa2
0.65442
0.329015
0.983435
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde
Empress Xiaoduanxian
false
957692a753d7
0.619748
0.362244
0.981992
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde
Wang Xijie
false
23eead9a877c
0.360334
0.564169
0.924502
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde Emperor
Empress Wang Xijie
false
2f815fead20e
0.544359
0.4369
0.981259
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde Emperor
Empress Xiao Duan Xian
false
bab5daddf21a
0.608358
0.376518
0.984875
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde Emperor
Empress Xiaoduanxian
false
977bb19a551f
0.626651
0.357045
0.983696
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde Emperor
Wang Xijie
false
9838dfef7650
0.117251
0.826268
0.943519
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde Emperor of China
Empress Wang Xijie
false
35fd0e44a551
0.505468
0.471626
0.977094
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde Emperor of China
Empress Xiao Duan Xian
false
8e0b991ef211
0.619806
0.364751
0.984557
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde Emperor of China
Empress Xiaoduanxian
false
abde6a76fb24
0.638421
0.344556
0.982977
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q4844452
backward
question
Zhengde Emperor of China
Wang Xijie
false
36d938e5eb9f
0.061952
0.884903
0.946855
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Daqingfawang
Empress Dowager Zhong
true
77311cc28a7f
0.177987
0.769808
0.947796
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Daqingfawang
Empress Guangmu
true
0f39a0cd8d45
0.24248
0.718185
0.960666
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Daqingfawang
Empress Zhong
true
f1e25d9f1900
0.269503
0.686878
0.956381
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Daqingfawang
Guangmu Empress
true
f3826c317ae1
0.217482
0.737887
0.955369
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Daqingfawang
Zhong Hou
true
07af081bde9b
0.324586
0.616969
0.941555
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Daqingfawang
Zhong Huanghou
true
d7949c236fa2
0.254543
0.670629
0.925172
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Cheng Te
Empress Dowager Zhong
true
8bc16e4f13cb
0.467362
0.504484
0.971846
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Cheng Te
Empress Guangmu
true
5a6dcd524b51
0.650351
0.331903
0.982254
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Cheng Te
Empress Zhong
true
017b8d2cbf14
0.592692
0.380933
0.973625
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Cheng Te
Guangmu Empress
true
81d19131c525
0.63317
0.351465
0.984636
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Cheng Te
Zhong Hou
true
5d0ef56d5f34
0.327925
0.635078
0.963003
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Cheng Te
Zhong Huanghou
true
282df5665aa4
0.354107
0.616062
0.970169
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Wuzong of Ming
Empress Dowager Zhong
true
064db19f046d
0.670733
0.312685
0.983418
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Wuzong of Ming
Empress Guangmu
true
45de7b1cc74b
0.734315
0.253029
0.987344
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Wuzong of Ming
Empress Zhong
true
650283123a47
0.719117
0.265882
0.984999
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Wuzong of Ming
Guangmu Empress
true
8f0990cf99eb
0.715119
0.273299
0.988418
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Wuzong of Ming
Zhong Hou
true
bc94777bc46e
0.45063
0.522425
0.973054
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Emperor Wuzong of Ming
Zhong Huanghou
true
cdeab2a7b634
0.484419
0.493677
0.978096
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Shou
Empress Dowager Zhong
true
33ddf8745b42
0.332461
0.647646
0.980107
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Shou
Empress Guangmu
true
9d6458668159
0.417752
0.564671
0.982423
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Shou
Empress Zhong
true
d329e7411227
0.413598
0.56791
0.981509
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Shou
Guangmu Empress
true
d61930c5ea2c
0.328346
0.65526
0.983606
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Shou
Zhong Hou
true
b3bd310620e1
0.433489
0.541145
0.974634
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Shou
Zhong Huanghou
true
1b2f54e90935
0.391413
0.580591
0.972004
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde
Empress Dowager Zhong
true
6e48f1c0abc2
0.234071
0.747101
0.981172
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde
Empress Guangmu
true
2b6221533d4c
0.381055
0.604636
0.985691
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde
Empress Zhong
true
f3e2fabab34b
0.336392
0.644908
0.9813
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde
Guangmu Empress
true
62822155ef54
0.344722
0.638515
0.983237
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde
Zhong Hou
true
78f8c2f809d0
0.225003
0.747211
0.972215
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde
Zhong Huanghou
true
b333bc3acd05
0.235902
0.735898
0.9718
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor
Empress Dowager Zhong
true
bde87ab545cc
0.342912
0.635925
0.978837
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor
Empress Guangmu
true
88d80a219644
0.60838
0.37803
0.986411
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor
Empress Zhong
true
dd2e25a62a3a
0.53116
0.450252
0.981413
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor
Guangmu Empress
true
3d077bee8fb3
0.558644
0.427141
0.985785
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor
Zhong Hou
true
b2353de720eb
0.224798
0.74994
0.974738
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor
Zhong Huanghou
true
600484a478dd
0.243604
0.732276
0.97588
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor of China
Empress Dowager Zhong
true
a69977331714
0.464875
0.516869
0.981743
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor of China
Empress Guangmu
true
61357873484a
0.666294
0.32215
0.988444
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor of China
Empress Zhong
true
5f948dbdfa45
0.636251
0.349565
0.985815
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor of China
Guangmu Empress
true
5b38f2526f76
0.618736
0.36825
0.986986
true
Yes
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor of China
Zhong Hou
true
d68eaff6f6fe
0.340387
0.638013
0.9784
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
forward
question
Zhengde Emperor of China
Zhong Huanghou
true
d33ecea8ce80
0.345056
0.634248
0.979304
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
backward
question
Daqingfawang
Empress Dowager Zhong
true
e279b0b146a0
0.287581
0.668516
0.956097
false
No
13b
s1
question
P26
plausible_negative
Q10007
Q8256247
backward
question
Daqingfawang
Empress Guangmu
true
6b0c8ee4daa8
0.284558
0.674382
0.95894
false
No
13b
s1
question
End of preview. Expand in Data Studio

Plausible wrong answers, asked under every name (42,267,800 rows)

Status: final — 40 of 40 runs. Models present: 13b, 7b. Training stages present: s1, s2, s3, s4, s5.

What this fixes

A real fact is put to the model under the full cross product of the two people's name lists, and counts as recognised if any one combination gets a Yes. That is He et al.'s rule. Until 2026-08-26 the wrong answer it was compared against was asked under one name per person, so the comparison was best-of-many against best-of-one and every "the model prefers the truth" figure was inflated. The wrong answer was also asked about a different string: the negatives called Margrethe II of Denmark "Margrethe II of Denmark", which is not among the seven names her true rows use.

Here each wrong pair is asked exactly the way a true pair is asked, with names taken from the same union file the probe itself reads.

How the wrong answers were chosen

gpt-5-mini picked three per subject from thirty candidates already in the entity set, drawn from a band of plus or minus 0.5 in log10 around the true answer's corpus frequency, so a wrong answer differs from the right one in being wrong rather than in being rarer. negative_rank 0 is its first choice.

Columns

column meaning
model 7b or 13b
stage s1 end of pretraining, s2 released base, s3 after SFT, s4 after DPO, s5 after RLVR (released Instruct)
relation P26 spouse, P3373 sibling
template statement asserts the fact and asks if it is true; question asks it directly
row_type always plausible_negative here
subject, object Wikidata QIDs; object is the WRONG answer
direction forward = subject named first, backward = reversed
alias_s, alias_o the two names used in this particular prompt
p_yes, p_no probability on the yes-side and no-side answer tokens
yes_no_mass p_yes + p_no; how much of the distribution the readout captured
says_yes whether p_yes > p_no
model_response the literal top token
demo_order_flipped whether the four worked examples were shown in reverse order

Reading these numbers honestly

Wrong pairs average 29.8 name combinations against 20.0 for true pairs, because frequency-matched plausible negatives tend to be well-known people and well-known people carry more names. Taking the best variant on each side therefore still favours the wrong answer slightly. Report the mean margin, which does not grow with the number of variants, beside any count of how often the truth wins.

Produced on the mll cluster, job 74763. Built by scripts/build_negative_union.py, scored by scripts/score_b2.py, analysed by scripts/knows_the_fact.py.

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