TSTP Solution File: GRP405-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP405-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:30:10 EDT 2022
% Result : Unsatisfiable 212.38s 53.42s
% Output : CNFRefutation 212.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP405-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 06:54:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 6046: Facts:
% 0.13/0.35 6046: Id : 2, {_}:
% 0.13/0.35 multiply ?2
% 0.13/0.35 (inverse
% 0.13/0.35 (multiply (inverse (multiply (inverse (multiply ?2 ?3)) ?4))
% 0.13/0.35 (inverse (multiply ?3 (multiply (inverse ?3) ?3)))))
% 0.13/0.35 =>=
% 0.13/0.35 ?4
% 0.13/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35 6046: Goal:
% 0.13/0.35 6046: Id : 1, {_}:
% 0.13/0.35 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.35 [] by prove_these_axioms_3
% 212.38/53.42 Statistics :
% 212.38/53.42 Max weight : 52
% 212.38/53.42 Found proof, 53.069645s
% 212.38/53.42 % SZS status Unsatisfiable for theBenchmark.p
% 212.38/53.42 % SZS output start CNFRefutation for theBenchmark.p
% 212.38/53.42 Id : 2, {_}: multiply ?2 (inverse (multiply (inverse (multiply (inverse (multiply ?2 ?3)) ?4)) (inverse (multiply ?3 (multiply (inverse ?3) ?3))))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 212.38/53.42 Id : 3, {_}: multiply ?6 (inverse (multiply (inverse (multiply (inverse (multiply ?6 ?7)) ?8)) (inverse (multiply ?7 (multiply (inverse ?7) ?7))))) =>= ?8 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 212.38/53.42 Id : 5, {_}: multiply ?15 (inverse (multiply (inverse ?16) (inverse (multiply ?17 (multiply (inverse ?17) ?17))))) =?= inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?15 ?17)) ?18)) ?16)) (inverse (multiply ?18 (multiply (inverse ?18) ?18)))) [18, 17, 16, 15] by Super 3 with 2 at 1,1,1,2,2
% 212.38/53.42 Id : 13, {_}: multiply (inverse (multiply ?58 ?59)) (multiply ?58 (inverse (multiply (inverse ?60) (inverse (multiply ?59 (multiply (inverse ?59) ?59)))))) =>= ?60 [60, 59, 58] by Super 2 with 5 at 2,2
% 212.38/53.42 Id : 46, {_}: multiply (inverse (multiply ?254 ?255)) (multiply ?254 (inverse (multiply (inverse ?256) (inverse (multiply ?255 (multiply (inverse ?255) ?255)))))) =>= ?256 [256, 255, 254] by Super 2 with 5 at 2,2
% 212.38/53.42 Id : 74, {_}: multiply (inverse (multiply ?411 ?412)) (multiply ?411 (multiply ?413 (inverse (multiply (inverse ?414) (inverse (multiply ?415 (multiply (inverse ?415) ?415))))))) =>= multiply (inverse (multiply (inverse (multiply ?413 ?415)) ?412)) ?414 [415, 414, 413, 412, 411] by Super 46 with 5 at 2,2,2
% 212.38/53.42 Id : 144, {_}: multiply (inverse (multiply ?782 ?783)) (multiply ?782 ?784) =?= multiply (inverse (multiply (inverse (multiply ?785 ?786)) ?783)) (multiply (inverse (multiply ?785 ?786)) ?784) [786, 785, 784, 783, 782] by Super 74 with 2 at 2,2,2
% 212.38/53.42 Id : 80, {_}: multiply (inverse (multiply ?460 ?461)) (multiply ?460 ?462) =?= multiply (inverse (multiply (inverse (multiply ?463 ?464)) ?461)) (multiply (inverse (multiply ?463 ?464)) ?462) [464, 463, 462, 461, 460] by Super 74 with 2 at 2,2,2
% 212.38/53.42 Id : 175, {_}: multiply (inverse (multiply ?1015 ?1016)) (multiply ?1015 ?1017) =?= multiply (inverse (multiply ?1018 ?1016)) (multiply ?1018 ?1017) [1018, 1017, 1016, 1015] by Super 144 with 80 at 3
% 212.38/53.42 Id : 263, {_}: multiply (inverse (multiply ?1448 (multiply ?1449 ?1450))) (multiply ?1448 (inverse (multiply (inverse ?1451) (inverse (multiply (multiply ?1449 ?1450) (multiply (inverse (multiply ?1452 ?1450)) (multiply ?1452 ?1450))))))) =>= ?1451 [1452, 1451, 1450, 1449, 1448] by Super 13 with 175 at 2,1,2,1,2,2,2
% 212.38/53.42 Id : 247, {_}: multiply ?1350 (inverse (multiply (inverse (multiply (inverse (multiply ?1350 ?1351)) ?1352)) (inverse (multiply ?1351 (multiply (inverse ?1351) ?1351))))) =?= inverse (multiply (inverse (multiply (inverse (multiply ?1353 ?1354)) (multiply ?1353 ?1352))) (inverse (multiply ?1354 (multiply (inverse ?1354) ?1354)))) [1354, 1353, 1352, 1351, 1350] by Super 5 with 175 at 1,1,1,3
% 212.38/53.42 Id : 306, {_}: ?1352 =<= inverse (multiply (inverse (multiply (inverse (multiply ?1353 ?1354)) (multiply ?1353 ?1352))) (inverse (multiply ?1354 (multiply (inverse ?1354) ?1354)))) [1354, 1353, 1352] by Demod 247 with 2 at 2
% 212.38/53.42 Id : 324, {_}: multiply (inverse (multiply ?1736 ?1737)) (inverse (multiply ?1738 (inverse (multiply (multiply ?1736 ?1738) (multiply (inverse (multiply ?1736 ?1738)) (multiply ?1736 ?1738)))))) =?= inverse (multiply ?1737 (multiply (inverse ?1737) ?1737)) [1738, 1737, 1736] by Super 2 with 306 at 1,1,2,2
% 212.38/53.42 Id : 7084, {_}: multiply (inverse (multiply (inverse (multiply ?47644 ?47645)) (multiply ?47644 (inverse ?47646)))) (inverse (multiply ?47645 (multiply (inverse ?47645) ?47645))) =>= ?47646 [47646, 47645, 47644] by Super 263 with 324 at 2,2
% 212.38/53.42 Id : 342, {_}: ?1837 =<= inverse (multiply (inverse (multiply (inverse (multiply ?1838 ?1839)) (multiply ?1838 ?1837))) (inverse (multiply ?1839 (multiply (inverse ?1839) ?1839)))) [1839, 1838, 1837] by Demod 247 with 2 at 2
% 212.38/53.42 Id : 353, {_}: multiply ?1902 ?1903 =<= inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?1902 ?1904)) ?1905)) (multiply (inverse (multiply ?1906 ?1904)) (multiply ?1906 ?1903)))) (inverse (multiply ?1905 (multiply (inverse ?1905) ?1905)))) [1906, 1905, 1904, 1903, 1902] by Super 342 with 175 at 2,1,1,1,3
% 212.38/53.42 Id : 340, {_}: multiply (inverse (multiply ?1825 (inverse (multiply ?1826 (multiply (inverse ?1826) ?1826))))) (multiply ?1825 ?1827) =?= multiply ?1828 (multiply (inverse (multiply (inverse (multiply ?1829 ?1826)) (multiply ?1829 ?1828))) ?1827) [1829, 1828, 1827, 1826, 1825] by Super 175 with 306 at 1,3
% 212.38/53.42 Id : 7348, {_}: multiply (inverse (multiply ?49357 (inverse (multiply ?49358 (multiply (inverse ?49358) ?49358))))) (multiply ?49357 (inverse (multiply ?49358 (multiply (inverse ?49358) ?49358)))) =?= multiply (inverse ?49359) ?49359 [49359, 49358, 49357] by Super 340 with 7084 at 2,3
% 212.38/53.42 Id : 10022, {_}: multiply ?67691 (inverse (multiply ?67692 (multiply (inverse ?67692) ?67692))) =<= inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?67691 (inverse (multiply ?67692 (multiply (inverse ?67692) ?67692))))) ?67693)) (multiply (inverse ?67694) ?67694))) (inverse (multiply ?67693 (multiply (inverse ?67693) ?67693)))) [67694, 67693, 67692, 67691] by Super 353 with 7348 at 2,1,1,1,3
% 212.38/53.42 Id : 10127, {_}: multiply (inverse (multiply (inverse (multiply ?68508 ?68509)) (multiply ?68508 (inverse ?68510)))) (inverse (multiply ?68509 (multiply (inverse ?68509) ?68509))) =?= inverse (multiply (inverse (multiply (inverse (multiply (inverse ?68510) ?68511)) (multiply (inverse ?68512) ?68512))) (inverse (multiply ?68511 (multiply (inverse ?68511) ?68511)))) [68512, 68511, 68510, 68509, 68508] by Super 10022 with 7084 at 1,1,1,1,1,1,1,3
% 212.38/53.42 Id : 10236, {_}: ?68510 =<= inverse (multiply (inverse (multiply (inverse (multiply (inverse ?68510) ?68511)) (multiply (inverse ?68512) ?68512))) (inverse (multiply ?68511 (multiply (inverse ?68511) ?68511)))) [68512, 68511, 68510] by Demod 10127 with 7084 at 2
% 212.38/53.42 Id : 10312, {_}: multiply (inverse ?69259) ?69259 =?= multiply (inverse ?69260) ?69260 [69260, 69259] by Super 2 with 10236 at 2,2
% 212.38/53.42 Id : 11640, {_}: multiply (inverse (multiply (inverse ?76237) ?76237)) (inverse (multiply (inverse ?76238) (multiply (inverse (inverse ?76238)) (inverse ?76238)))) =>= ?76238 [76238, 76237] by Super 7084 with 10312 at 1,1,2
% 212.38/53.42 Id : 11896, {_}: multiply (inverse (multiply (inverse ?77349) ?77349)) (inverse (multiply (inverse ?77350) (multiply (inverse ?77351) ?77351))) =>= ?77350 [77351, 77350, 77349] by Super 11640 with 10312 at 2,1,2,2
% 212.38/53.42 Id : 11938, {_}: multiply (inverse (multiply (inverse ?77611) ?77611)) (inverse (multiply (inverse (multiply ?77612 ?77613)) (multiply ?77612 ?77614))) =>= multiply (inverse ?77614) ?77613 [77614, 77613, 77612, 77611] by Super 11896 with 175 at 1,2,2
% 212.38/53.42 Id : 11954, {_}: multiply (inverse (multiply (inverse ?77716) ?77716)) (inverse (multiply (inverse ?77717) ?77717)) =?= multiply (inverse ?77718) ?77718 [77718, 77717, 77716] by Super 11896 with 10312 at 1,2,2
% 212.38/53.42 Id : 12539, {_}: multiply (inverse ?80966) (inverse (multiply (inverse (multiply (inverse ?80967) ?80967)) (inverse (multiply ?80966 (multiply (inverse ?80966) ?80966))))) =?= inverse (multiply (inverse ?80968) ?80968) [80968, 80967, 80966] by Super 2 with 11954 at 1,1,1,2,2
% 212.38/53.42 Id : 11151, {_}: ?73847 =<= inverse (multiply (inverse (multiply (inverse ?73848) ?73848)) (inverse (multiply ?73847 (multiply (inverse ?73847) ?73847)))) [73848, 73847] by Super 306 with 10312 at 1,1,1,3
% 212.38/53.42 Id : 11176, {_}: ?73996 =<= inverse (multiply (inverse (multiply (inverse ?73997) ?73997)) (inverse (multiply ?73996 (multiply (inverse ?73998) ?73998)))) [73998, 73997, 73996] by Super 11151 with 10312 at 2,1,2,1,3
% 212.38/53.42 Id : 12771, {_}: multiply (inverse ?80966) ?80966 =?= inverse (multiply (inverse ?80968) ?80968) [80968, 80966] by Demod 12539 with 11176 at 2,2
% 212.38/53.42 Id : 12796, {_}: multiply (inverse (inverse (multiply (inverse ?82551) ?82551))) (inverse (multiply (inverse (multiply ?82552 ?82553)) (multiply ?82552 ?82554))) =>= multiply (inverse ?82554) ?82553 [82554, 82553, 82552, 82551] by Super 11938 with 12771 at 1,1,2
% 212.38/53.42 Id : 22350, {_}: multiply (multiply (inverse ?131739) ?131739) (inverse (multiply (inverse (multiply ?131740 ?131741)) (multiply ?131740 ?131742))) =>= multiply (inverse ?131742) ?131741 [131742, 131741, 131740, 131739] by Super 11938 with 12771 at 1,2
% 212.38/53.42 Id : 54149, {_}: multiply (multiply (inverse ?285712) ?285712) (inverse (multiply (multiply (inverse ?285713) ?285713) (multiply (inverse ?285714) ?285715))) =>= multiply (inverse ?285715) ?285714 [285715, 285714, 285713, 285712] by Super 22350 with 12771 at 1,1,2,2
% 212.38/53.42 Id : 13501, {_}: inverse (multiply (inverse ?86585) ?86585) =?= inverse (multiply (inverse ?86586) ?86586) [86586, 86585] by Super 11176 with 11954 at 1,3
% 212.38/53.42 Id : 13530, {_}: inverse (multiply (inverse ?86735) ?86735) =?= inverse (inverse (multiply (inverse ?86736) ?86736)) [86736, 86735] by Super 13501 with 12771 at 1,3
% 212.38/53.42 Id : 54152, {_}: multiply (multiply (inverse ?285730) ?285730) (inverse (multiply (multiply (inverse ?285731) ?285731) (multiply (inverse (inverse (multiply (inverse ?285732) ?285732))) ?285733))) =?= multiply (inverse ?285733) (multiply (inverse ?285734) ?285734) [285734, 285733, 285732, 285731, 285730] by Super 54149 with 13530 at 1,2,1,2,2
% 212.38/53.42 Id : 22475, {_}: multiply (multiply (inverse ?132606) ?132606) (inverse (multiply (multiply (inverse ?132607) ?132607) (multiply (inverse ?132608) ?132609))) =>= multiply (inverse ?132609) ?132608 [132609, 132608, 132607, 132606] by Super 22350 with 12771 at 1,1,2,2
% 212.38/53.42 Id : 54574, {_}: multiply (inverse ?285733) (inverse (multiply (inverse ?285732) ?285732)) =?= multiply (inverse ?285733) (multiply (inverse ?285734) ?285734) [285734, 285732, 285733] by Demod 54152 with 22475 at 2
% 212.38/53.42 Id : 59462, {_}: multiply ?310934 (inverse (multiply (inverse ?310935) ?310935)) =?= inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?310934 ?310936)) ?310937)) (multiply (inverse (multiply (inverse ?310938) ?310936)) (multiply (inverse ?310938) (multiply (inverse ?310939) ?310939))))) (inverse (multiply ?310937 (multiply (inverse ?310937) ?310937)))) [310939, 310938, 310937, 310936, 310935, 310934] by Super 353 with 54574 at 2,2,1,1,1,3
% 212.38/53.42 Id : 60451, {_}: multiply ?310934 (inverse (multiply (inverse ?310935) ?310935)) =?= multiply ?310934 (multiply (inverse ?310939) ?310939) [310939, 310935, 310934] by Demod 59462 with 353 at 3
% 212.38/53.42 Id : 54243, {_}: multiply (multiply (inverse ?286356) ?286356) (inverse (multiply (multiply (inverse ?286357) ?286357) (multiply (inverse ?286358) ?286359))) =?= multiply (inverse (inverse (multiply (inverse (multiply ?286360 ?286359)) (multiply ?286360 ?286358)))) (multiply (inverse ?286361) ?286361) [286361, 286360, 286359, 286358, 286357, 286356] by Super 54149 with 11938 at 2,1,2,2
% 212.38/53.42 Id : 54626, {_}: multiply (inverse ?286359) ?286358 =<= multiply (inverse (inverse (multiply (inverse (multiply ?286360 ?286359)) (multiply ?286360 ?286358)))) (multiply (inverse ?286361) ?286361) [286361, 286360, 286358, 286359] by Demod 54243 with 22475 at 2
% 212.38/53.42 Id : 61881, {_}: multiply (inverse (inverse (multiply (inverse (multiply ?323511 ?323512)) (multiply ?323511 ?323513)))) (inverse (multiply (inverse ?323514) ?323514)) =>= multiply (inverse ?323512) ?323513 [323514, 323513, 323512, 323511] by Super 60451 with 54626 at 3
% 212.38/53.42 Id : 61883, {_}: multiply (inverse ?323521) ?323522 =<= multiply (inverse (inverse (multiply (inverse (multiply ?323523 ?323521)) (multiply ?323523 ?323522)))) (multiply (inverse ?323524) ?323524) [323524, 323523, 323522, 323521] by Demod 54243 with 22475 at 2
% 212.38/53.42 Id : 118957, {_}: multiply (inverse ?599600) ?599601 =<= multiply (inverse (inverse (multiply (multiply (inverse ?599602) ?599602) (multiply (inverse ?599600) ?599601)))) (multiply (inverse ?599603) ?599603) [599603, 599602, 599601, 599600] by Super 61883 with 12771 at 1,1,1,1,3
% 212.38/53.42 Id : 119250, {_}: multiply (inverse ?601479) (inverse (multiply (inverse (multiply (inverse (multiply (inverse ?601479) ?601480)) ?601481)) (inverse (multiply ?601480 (multiply (inverse ?601480) ?601480))))) =?= multiply (inverse (inverse (multiply (multiply (inverse ?601482) ?601482) ?601481))) (multiply (inverse ?601483) ?601483) [601483, 601482, 601481, 601480, 601479] by Super 118957 with 2 at 2,1,1,1,3
% 212.38/53.42 Id : 119716, {_}: ?601481 =<= multiply (inverse (inverse (multiply (multiply (inverse ?601482) ?601482) ?601481))) (multiply (inverse ?601483) ?601483) [601483, 601482, 601481] by Demod 119250 with 2 at 2
% 212.38/53.42 Id : 119863, {_}: multiply (inverse (inverse (multiply (multiply (inverse ?603608) ?603608) ?603609))) (inverse (multiply (inverse ?603610) ?603610)) =>= ?603609 [603610, 603609, 603608] by Super 60451 with 119716 at 3
% 212.38/53.42 Id : 11656, {_}: multiply (inverse (multiply (inverse ?76325) ?76325)) (inverse (multiply (inverse ?76326) (multiply (inverse ?76327) ?76327))) =>= ?76326 [76327, 76326, 76325] by Super 11640 with 10312 at 2,1,2,2
% 212.38/53.42 Id : 13129, {_}: multiply (multiply (inverse ?84572) ?84572) (inverse (multiply (inverse ?84573) (multiply (inverse ?84574) ?84574))) =>= ?84573 [84574, 84573, 84572] by Super 11656 with 12771 at 1,2
% 212.38/53.42 Id : 119872, {_}: multiply (multiply (inverse ?603646) ?603646) (inverse ?603647) =?= inverse (multiply (multiply (inverse ?603648) ?603648) ?603647) [603648, 603647, 603646] by Super 13129 with 119716 at 1,2,2
% 212.38/53.42 Id : 122122, {_}: multiply (inverse (multiply (multiply (inverse ?613882) ?613882) (inverse ?613883))) (inverse (multiply (inverse ?613884) ?613884)) =>= ?613883 [613884, 613883, 613882] by Super 119863 with 119872 at 1,1,2
% 212.38/53.42 Id : 126310, {_}: ?634966 =<= multiply (inverse (multiply (multiply (inverse ?634967) ?634967) (inverse ?634966))) (multiply (inverse ?634968) ?634968) [634968, 634967, 634966] by Super 119716 with 119872 at 1,1,3
% 212.38/53.42 Id : 126734, {_}: ?637295 =<= multiply (inverse (multiply (inverse (multiply (inverse ?637296) ?637296)) (inverse ?637295))) (multiply (inverse ?637297) ?637297) [637297, 637296, 637295] by Super 126310 with 12771 at 1,1,1,3
% 212.38/53.42 Id : 140916, {_}: multiply (inverse (multiply ?700580 (inverse ?700581))) (multiply ?700580 (multiply (inverse ?700582) ?700582)) =>= ?700581 [700582, 700581, 700580] by Super 175 with 126734 at 3
% 212.38/53.42 Id : 141047, {_}: multiply (inverse (multiply ?701321 (inverse ?701322))) (multiply ?701321 (inverse (multiply (inverse ?701323) ?701323))) =>= ?701322 [701323, 701322, 701321] by Super 140916 with 12771 at 2,2,2
% 212.38/53.42 Id : 142799, {_}: ?708709 =<= inverse (multiply (inverse ?708709) (multiply (inverse (inverse ?708709)) (inverse ?708709))) [708709] by Super 13 with 141047 at 2
% 212.38/53.42 Id : 144137, {_}: multiply (multiply (inverse ?713672) ?713672) ?713673 =>= ?713673 [713673, 713672] by Super 13129 with 142799 at 2,2
% 212.38/53.42 Id : 145201, {_}: multiply (inverse (inverse ?613883)) (inverse (multiply (inverse ?613884) ?613884)) =>= ?613883 [613884, 613883] by Demod 122122 with 144137 at 1,1,2
% 212.38/53.42 Id : 145206, {_}: multiply (inverse (multiply ?323511 ?323512)) (multiply ?323511 ?323513) =>= multiply (inverse ?323512) ?323513 [323513, 323512, 323511] by Demod 61881 with 145201 at 2
% 212.38/53.42 Id : 145250, {_}: multiply (inverse (inverse (multiply (inverse ?82551) ?82551))) (inverse (multiply (inverse ?82553) ?82554)) =>= multiply (inverse ?82554) ?82553 [82554, 82553, 82551] by Demod 12796 with 145206 at 1,2,2
% 212.38/53.42 Id : 24448, {_}: multiply (inverse (inverse (multiply (inverse ?141828) ?141828))) (inverse (multiply (inverse ?141829) (multiply (inverse ?141830) ?141830))) =>= ?141829 [141830, 141829, 141828] by Super 11656 with 12771 at 1,1,2
% 212.38/53.42 Id : 13134, {_}: multiply (inverse ?84594) ?84594 =?= inverse (multiply (inverse ?84595) ?84595) [84595, 84594] by Demod 12539 with 11176 at 2,2
% 212.38/53.42 Id : 13161, {_}: multiply (inverse ?84736) ?84736 =?= inverse (inverse (multiply (inverse ?84737) ?84737)) [84737, 84736] by Super 13134 with 12771 at 1,3
% 212.38/53.42 Id : 24501, {_}: multiply (inverse (inverse (multiply (inverse ?142128) ?142128))) (inverse (multiply (inverse ?142129) (inverse (inverse (multiply (inverse ?142130) ?142130))))) =>= ?142129 [142130, 142129, 142128] by Super 24448 with 13161 at 2,1,2,2
% 212.38/53.42 Id : 13891, {_}: multiply (inverse (multiply (inverse ?88465) ?88465)) (inverse (multiply (inverse ?88466) (inverse (inverse (multiply (inverse ?88467) ?88467))))) =>= ?88466 [88467, 88466, 88465] by Super 11656 with 13161 at 2,1,2,2
% 212.38/53.42 Id : 16895, {_}: multiply (multiply (inverse ?103464) ?103464) (inverse (multiply (inverse ?103465) (multiply (inverse ?103466) ?103466))) =>= ?103465 [103466, 103465, 103464] by Super 11656 with 12771 at 1,2
% 212.38/53.42 Id : 16935, {_}: multiply (multiply (inverse ?103699) ?103699) (inverse (multiply (inverse ?103700) (inverse (multiply (inverse ?103701) ?103701)))) =>= ?103700 [103701, 103700, 103699] by Super 16895 with 12771 at 2,1,2,2
% 212.38/53.42 Id : 122298, {_}: inverse (multiply (multiply (inverse ?614859) ?614859) (multiply (inverse ?614860) (inverse (multiply (inverse ?614861) ?614861)))) =>= ?614860 [614861, 614860, 614859] by Super 16935 with 119872 at 2
% 212.38/53.42 Id : 13121, {_}: ?84537 =<= inverse (multiply (multiply (inverse ?84538) ?84538) (inverse (multiply ?84537 (multiply (inverse ?84539) ?84539)))) [84539, 84538, 84537] by Super 11176 with 12771 at 1,1,3
% 212.38/53.42 Id : 123604, {_}: ?622124 =<= inverse (inverse (multiply (multiply (inverse ?622125) ?622125) (multiply ?622124 (multiply (inverse ?622126) ?622126)))) [622126, 622125, 622124] by Super 13121 with 119872 at 1,3
% 212.38/53.42 Id : 133080, {_}: ?665623 =<= inverse (inverse (multiply (inverse (multiply (inverse ?665624) ?665624)) (multiply ?665623 (multiply (inverse ?665625) ?665625)))) [665625, 665624, 665623] by Super 123604 with 12771 at 1,1,1,3
% 212.38/53.42 Id : 133592, {_}: inverse ?668310 =<= inverse (inverse (multiply (inverse (multiply ?668311 ?668310)) (multiply ?668311 (multiply (inverse ?668312) ?668312)))) [668312, 668311, 668310] by Super 133080 with 175 at 1,1,3
% 212.38/53.42 Id : 134327, {_}: inverse (multiply (multiply (inverse ?671255) ?671255) (multiply (inverse ?671256) (inverse (multiply (inverse ?671257) ?671257)))) =?= inverse (multiply (inverse (multiply ?671258 ?671256)) (multiply ?671258 (multiply (inverse ?671259) ?671259))) [671259, 671258, 671257, 671256, 671255] by Super 122298 with 133592 at 1,2,1,2
% 212.38/53.42 Id : 134930, {_}: ?671256 =<= inverse (multiply (inverse (multiply ?671258 ?671256)) (multiply ?671258 (multiply (inverse ?671259) ?671259))) [671259, 671258, 671256] by Demod 134327 with 122298 at 2
% 212.38/53.42 Id : 145251, {_}: ?671256 =<= inverse (multiply (inverse ?671256) (multiply (inverse ?671259) ?671259)) [671259, 671256] by Demod 134930 with 145206 at 1,3
% 212.38/53.42 Id : 145256, {_}: multiply (inverse (multiply (inverse ?76325) ?76325)) ?76326 =>= ?76326 [76326, 76325] by Demod 11656 with 145251 at 2,2
% 212.38/53.42 Id : 145278, {_}: inverse (multiply (inverse ?88466) (inverse (inverse (multiply (inverse ?88467) ?88467)))) =>= ?88466 [88467, 88466] by Demod 13891 with 145256 at 2
% 212.38/53.42 Id : 145286, {_}: multiply (inverse (inverse (multiply (inverse ?142128) ?142128))) ?142129 =>= ?142129 [142129, 142128] by Demod 24501 with 145278 at 2,2
% 212.38/53.42 Id : 145314, {_}: inverse (multiply (inverse ?82553) ?82554) =>= multiply (inverse ?82554) ?82553 [82554, 82553] by Demod 145250 with 145286 at 2
% 212.38/53.42 Id : 145436, {_}: multiply ?15 (multiply (inverse (inverse (multiply ?17 (multiply (inverse ?17) ?17)))) ?16) =?= inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?15 ?17)) ?18)) ?16)) (inverse (multiply ?18 (multiply (inverse ?18) ?18)))) [18, 16, 17, 15] by Demod 5 with 145314 at 2,2
% 212.38/53.42 Id : 145437, {_}: multiply ?15 (multiply (inverse (inverse (multiply ?17 (multiply (inverse ?17) ?17)))) ?16) =?= multiply (inverse (inverse (multiply ?18 (multiply (inverse ?18) ?18)))) (multiply (inverse (multiply (inverse (multiply ?15 ?17)) ?18)) ?16) [18, 16, 17, 15] by Demod 145436 with 145314 at 3
% 212.38/53.42 Id : 145438, {_}: multiply ?15 (multiply (inverse (inverse (multiply ?17 (multiply (inverse ?17) ?17)))) ?16) =?= multiply (inverse (inverse (multiply ?18 (multiply (inverse ?18) ?18)))) (multiply (multiply (inverse ?18) (multiply ?15 ?17)) ?16) [18, 16, 17, 15] by Demod 145437 with 145314 at 1,2,3
% 212.38/53.42 Id : 13120, {_}: ?84533 =<= inverse (multiply (inverse (inverse (multiply (inverse ?84534) ?84534))) (inverse (multiply ?84533 (multiply (inverse ?84535) ?84535)))) [84535, 84534, 84533] by Super 11176 with 12771 at 1,1,1,3
% 212.38/53.42 Id : 145291, {_}: ?84533 =<= inverse (inverse (multiply ?84533 (multiply (inverse ?84535) ?84535))) [84535, 84533] by Demod 13120 with 145286 at 1,3
% 212.38/53.42 Id : 145564, {_}: multiply ?15 (multiply ?17 ?16) =<= multiply (inverse (inverse (multiply ?18 (multiply (inverse ?18) ?18)))) (multiply (multiply (inverse ?18) (multiply ?15 ?17)) ?16) [18, 16, 17, 15] by Demod 145438 with 145291 at 1,2,2
% 212.38/53.42 Id : 145565, {_}: multiply ?15 (multiply ?17 ?16) =<= multiply ?18 (multiply (multiply (inverse ?18) (multiply ?15 ?17)) ?16) [18, 16, 17, 15] by Demod 145564 with 145291 at 1,3
% 212.38/53.42 Id : 145244, {_}: multiply (inverse (inverse (multiply ?1826 (multiply (inverse ?1826) ?1826)))) ?1827 =?= multiply ?1828 (multiply (inverse (multiply (inverse (multiply ?1829 ?1826)) (multiply ?1829 ?1828))) ?1827) [1829, 1828, 1827, 1826] by Demod 340 with 145206 at 2
% 212.38/53.42 Id : 145245, {_}: multiply (inverse (inverse (multiply ?1826 (multiply (inverse ?1826) ?1826)))) ?1827 =?= multiply ?1828 (multiply (inverse (multiply (inverse ?1826) ?1828)) ?1827) [1828, 1827, 1826] by Demod 145244 with 145206 at 1,1,2,3
% 212.38/53.42 Id : 145576, {_}: multiply ?1826 ?1827 =<= multiply ?1828 (multiply (inverse (multiply (inverse ?1826) ?1828)) ?1827) [1828, 1827, 1826] by Demod 145245 with 145291 at 1,2
% 212.38/53.42 Id : 145577, {_}: multiply ?1826 ?1827 =<= multiply ?1828 (multiply (multiply (inverse ?1828) ?1826) ?1827) [1828, 1827, 1826] by Demod 145576 with 145314 at 1,2,3
% 212.38/53.42 Id : 145578, {_}: multiply ?15 (multiply ?17 ?16) =?= multiply (multiply ?15 ?17) ?16 [16, 17, 15] by Demod 145565 with 145577 at 3
% 212.38/53.42 Id : 145905, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1 with 145578 at 2
% 212.38/53.42 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 212.38/53.42 % SZS output end CNFRefutation for theBenchmark.p
% 212.38/53.42 6049: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 53.073074 using nrkbo
%------------------------------------------------------------------------------