First-order Theorems Vampire
 2.6
E‑MaLeS
 1.1
EP
 1.6pre
Vampire
 0.6
EP
 1.4pre
iProver
 0.99
LEO‑II
 1.4.0
iProver‑Eq
 0.8
E‑Darwin
 1.5
E‑KRHyper
 1.3
leanCoP
 2.2
Princess
 120604
STP
 1.0
SuperZenon
 0.0.1
Zenon
 0.7.1
Muscadet
 4.2
Solved/500 469/500 401/500 378/500 368/500 344/500 286/500 263/500 206/500 183/500 171/500 167/500 155/500 148/500 134/500 110/500 63/500
Av. CPU Time 20.26 20.81 14.49 16.40 23.97 12.36 23.19 17.26 18.15 31.56 29.30 50.56 6.33 16.13 18.82 21.14
Solutions 469/500 397/500 378/500 367/500 344/500 268/500 263/500 0/500 0/500 0/500 167/500 0/500 148/500 134/500 107/500 58/500
μEfficiency 572 509 453 456 344 326 238 291 226 197 172 25 133 196 133 88
SOTAC 0.19 0.14 0.13 0.14 0.13 0.12 0.10 0.09 0.09 0.10 0.09 0.11 0.17 0.12 0.09 0.11
New Solved 90/97 87/97 73/97 29/97 66/97 42/97 21/97 30/97 18/97 21/97 23/97 19/97 29/97 2/97 14/97 15/97
First-order Non-theorems iProver‑SAT
 0.99
Vampire‑SAT
 2.6
Paradox
 3.0
FIMO
 0.3
Nitrox
 2012
EP‑SAT
 1.6pre
E‑KRHyper
 1.3
CVC4
 0.0
E‑Darwin
 1.5
iProver‑Eq
 0.8
Solved/200 160/200 124/200 123/200 123/200 96/200 82/200 65/200 63/200 52/200 42/200
Av. CPU Time 57.22 17.58 4.40 18.42 28.42 2.92 4.71 34.42 12.17 19.53
Solutions 159/200 124/200 123/200 123/200 96/200 82/200 0/200 0/200 52/200 0/200
μEfficiency 153 376 507 314 35 312 223 162 196 100
SOTAC 0.37 0.19 0.19 0.19 0.19 0.21 0.17 0.16 0.15 0.14
New Solved 34/34 0/34 0/34 0/34 0/34 0/34 0/34 0/34 0/34 0/34
Mizar Theorems in Batch Mode MaLARea
 0.4
Vampire‑TUR
 2.6
PS‑E
 1.0
EP‑LTB
 1.6pre
iProver‑LTB
 0.99
iProver‑Eq‑LTB
 0.8
E‑KRHyper‑LTB
 1.3
leanCoP‑ARDE
 2.2
Solved/400 257/400 248/400 200/400 165/400 160/400 51/400 26/400 7/400
Av. CPU Time 339.82 383.46 587.86 737.08 549.44 1755.40 612.09 7408.40
Av. WC Time 62.26 64.52 80.00 93.26 100.00 313.73 615.24 2285.71
Solutions 240/400 248/400 200/400 157/400 160/400 0/400 0/400 7/400
SOTAC 0.31 0.30 0.24 0.21 0.22 0.16 0.15 0.86
Core Usage 5.41 5.94 7.58 7.90 5.50 5.60 0.99 3.02
New Solved 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0
Theorems without Equality Vampire
 2.6
Vampire
 0.6
iProver
 0.99
E‑MaLeS
 1.1
EP
 1.6pre
EP
 1.4pre
iProver‑Eq
 0.8
LEO‑II
 1.4.0
leanCoP
 2.2
E‑Darwin
 1.5
E‑KRHyper
 1.3
Zenon
 0.7.1
SuperZenon
 0.0.1
Princess
 120604
STP
 1.0
Muscadet
 4.2
Solved/150 146/150 145/150 138/150 136/150 132/150 130/150 130/150 130/150 108/150 100/150 93/150 62/150 61/150 60/150 29/150 19/150
Av. CPU Time 4.23 6.36 5.71 12.47 11.38 11.43 11.65 22.37 21.12 8.76 15.65 8.72 3.56 53.77 0.74 27.37
Solutions 146/150 145/150 137/150 134/150 132/150 130/150 0/150 130/150 108/150 0/150 0/150 60/150 61/150 0/150 29/150 19/150
μEfficiency 850 741 694 732 674 537 638 416 423 441 412 320 364 34 186 70
SOTAC 0.10 0.10 0.09 0.09 0.09 0.09 0.09 0.09 0.08 0.08 0.09 0.08 0.11 0.08 0.09 0.09
New Solved 21/21 21/21 21/21 20/21 16/21 16/21 21/21 16/21 21/21 15/21 4/21 11/21 1/21 13/21 21/21 7/21
Theorems with Equality Vampire
 2.6
E‑MaLeS
 1.1
EP
 1.6pre
Vampire
 0.6
EP
 1.4pre
iProver
 0.99
LEO‑II
 1.4.0
STP
 1.0
Princess
 120604
E‑KRHyper
 1.3
leanCoP
 2.2
E‑Darwin
 1.5
SuperZenon
 0.0.1
iProver‑Eq
 0.8
Muscadet
 4.2
Zenon
 0.7.1
Solved/300 274/300 240/300 218/300 191/300 189/300 112/300 108/300 102/300 76/300 61/300 56/300 54/300 46/300 45/300 37/300 18/300
Av. CPU Time 16.62 26.14 14.17 24.89 32.29 19.76 20.75 8.74 55.50 49.86 46.17 40.04 13.76 44.82 21.29 13.28
Solutions 274/300 239/300 218/300 191/300 189/300 111/300 108/300 102/300 0/300 0/300 56/300 0/300 46/300 0/300 35/300 18/300
μEfficiency 455 441 382 325 268 140 175 87 15 103 68 110 121 64 97 32
SOTAC 0.23 0.17 0.17 0.18 0.16 0.13 0.12 0.17 0.13 0.11 0.11 0.10 0.15 0.11 0.12 0.09
New Solved 69/76 67/76 57/76 8/76 50/76 21/76 5/76 8/76 6/76 17/76 2/76 3/76 1/76 9/76 8/76 3/76
Effectively Propositional Theorems Vampire
 2.6
iProver
 0.99
Vampire
 0.6
iProver‑Eq
 0.8
Zenon
 0.7.1
E‑Darwin
 1.5
EP
 1.6pre
SuperZenon
 0.0.1
E‑MaLeS
 1.1
EP
 1.4pre
LEO‑II
 1.4.0
Princess
 120604
STP
 1.0
E‑KRHyper
 1.3
Muscadet
 4.2
leanCoP
 2.2
Solved/50 49/50 36/50 32/50 31/50 30/50 29/50 28/50 27/50 25/50 25/50 25/50 19/50 17/50 17/50 7/50 3/50
Av. CPU Time 88.33 14.84 11.23 0.77 43.03 9.76 31.63 48.54 15.05 26.34 37.93 20.70 1.41 52.90 3.47 9.10
Solutions 49/50 20/50 31/50 0/50 29/50 0/50 28/50 27/50 24/50 25/50 25/50 0/50 17/50 0/50 4/50 3/50
μEfficiency 434 338 391 612 174 274 213 136 247 222 79 55 249 110 89 41
SOTAC 0.18 0.20 0.10 0.10 0.10 0.10 0.09 0.10 0.09 0.09 0.09 0.10 0.33 0.10 0.08 0.07
New Solved 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0
Non-theorems without Equality iProver‑SAT
 0.99
Paradox
 3.0
Nitrox
 2012
FIMO
 0.3
Vampire‑SAT
 2.6
CVC4
 0.0
iProver‑Eq
 0.8
EP‑SAT
 1.6pre
E‑Darwin
 1.5
E‑KRHyper
 1.3
Solved/100 81/100 60/100 51/100 51/100 46/100 30/100 28/100 26/100 19/100 11/100
Av. CPU Time 52.35 8.61 23.07 30.43 8.96 17.57 16.92 7.46 7.96 0.49
Solutions 80/100 60/100 51/100 51/100 46/100 0/100 0/100 26/100 19/100 0/100
μEfficiency 241 412 35 230 264 182 156 104 129 104
SOTAC 0.51 0.19 0.18 0.17 0.20 0.15 0.14 0.27 0.13 0.13
New Solved 34/34 0/34 0/34 0/34 0/34 0/34 0/34 0/34 0/34 0/34
Non-theorems with Equality iProver‑SAT
 0.99
Vampire‑SAT
 2.6
FIMO
 0.3
Paradox
 3.0
EP‑SAT
 1.6pre
E‑KRHyper
 1.3
Nitrox
 2012
E‑Darwin
 1.5
CVC4
 0.0
iProver‑Eq
 0.8
Solved/100 79/100 78/100 72/100 63/100 56/100 54/100 45/100 33/100 33/100 14/100
Av. CPU Time 62.22 22.66 9.92 0.38 0.81 5.56 34.48 14.59 49.74 24.76
Solutions 79/100 78/100 72/100 63/100 56/100 0/100 45/100 33/100 0/100 0/100
μEfficiency 65 489 399 603 520 342 34 262 143 44
SOTAC 0.23 0.18 0.20 0.18 0.19 0.18 0.20 0.16 0.16 0.13
New Solved 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0 0/0