TSTP Solution File: GRP413-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP413-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n022.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 10:30:12 EDT 2022
% Result : Unsatisfiable 21.33s 5.67s
% Output : CNFRefutation 21.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP413-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 20:42:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 6682: Facts:
% 0.12/0.34 6682: Id : 2, {_}:
% 0.12/0.34 multiply ?2
% 0.12/0.34 (inverse
% 0.12/0.34 (multiply
% 0.12/0.34 (multiply (multiply (inverse ?3) ?3)
% 0.12/0.34 (inverse (multiply (inverse (multiply ?2 (inverse ?3))) ?4)))
% 0.12/0.34 ?3))
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 6682: Goal:
% 0.12/0.34 6682: Id : 1, {_}:
% 0.12/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.34 [] by prove_these_axioms_2
% 21.33/5.67 Statistics :
% 21.33/5.67 Max weight : 64
% 21.33/5.67 Found proof, 5.336988s
% 21.33/5.67 % SZS status Unsatisfiable for theBenchmark.p
% 21.33/5.67 % SZS output start CNFRefutation for theBenchmark.p
% 21.33/5.67 Id : 3, {_}: multiply ?6 (inverse (multiply (multiply (multiply (inverse ?7) ?7) (inverse (multiply (inverse (multiply ?6 (inverse ?7))) ?8))) ?7)) =>= ?8 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 21.33/5.67 Id : 2, {_}: multiply ?2 (inverse (multiply (multiply (multiply (inverse ?3) ?3) (inverse (multiply (inverse (multiply ?2 (inverse ?3))) ?4))) ?3)) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 21.33/5.67 Id : 5, {_}: multiply ?15 (inverse (multiply (multiply (multiply (inverse ?16) ?16) (inverse ?17)) ?16)) =?= inverse (multiply (multiply (multiply (inverse ?18) ?18) (inverse (multiply (inverse (multiply (inverse (multiply ?15 (inverse ?16))) (inverse ?18))) ?17))) ?18) [18, 17, 16, 15] by Super 3 with 2 at 1,2,1,1,2,2
% 21.33/5.67 Id : 108, {_}: inverse (multiply (multiply (multiply (inverse ?654) ?654) (inverse (multiply (inverse (multiply (inverse (multiply ?655 (inverse ?656))) (inverse ?654))) (multiply (inverse (multiply ?655 (inverse ?656))) ?657)))) ?654) =>= ?657 [657, 656, 655, 654] by Super 2 with 5 at 2
% 21.33/5.67 Id : 15, {_}: inverse (multiply (multiply (multiply (inverse ?70) ?70) (inverse (multiply (inverse (multiply (inverse (multiply ?71 (inverse ?72))) (inverse ?70))) (multiply (inverse (multiply ?71 (inverse ?72))) ?73)))) ?70) =>= ?73 [73, 72, 71, 70] by Super 2 with 5 at 2
% 21.33/5.67 Id : 113, {_}: inverse (multiply (multiply (multiply (inverse ?688) ?688) (inverse (multiply (inverse (multiply (inverse (multiply (multiply (multiply (inverse (inverse ?689)) (inverse ?689)) (inverse (multiply (inverse (multiply (inverse (multiply ?690 (inverse ?691))) (inverse (inverse ?689)))) (multiply (inverse (multiply ?690 (inverse ?691))) ?692)))) (inverse ?689))) (inverse ?688))) (multiply ?692 ?693)))) ?688) =>= ?693 [693, 692, 691, 690, 689, 688] by Super 108 with 15 at 1,2,1,2,1,1,2
% 21.33/5.67 Id : 153, {_}: inverse (multiply (multiply (multiply (inverse ?688) ?688) (inverse (multiply (inverse (multiply ?692 (inverse ?688))) (multiply ?692 ?693)))) ?688) =>= ?693 [693, 692, 688] by Demod 113 with 15 at 1,1,1,1,2,1,1,2
% 21.33/5.67 Id : 14, {_}: multiply (inverse (multiply ?66 (inverse ?67))) (multiply ?66 (inverse (multiply (multiply (multiply (inverse ?67) ?67) (inverse ?68)) ?67))) =>= ?68 [68, 67, 66] by Super 2 with 5 at 2,2
% 21.33/5.67 Id : 249, {_}: multiply (inverse (multiply ?1260 (inverse ?1261))) (multiply ?1260 ?1262) =?= multiply (inverse (multiply ?1263 (inverse ?1261))) (multiply ?1263 ?1262) [1263, 1262, 1261, 1260] by Super 14 with 153 at 2,2,2
% 21.33/5.67 Id : 256, {_}: multiply (inverse (multiply ?1306 (inverse (multiply (multiply (multiply (inverse ?1307) ?1307) (inverse (multiply (inverse (multiply ?1308 (inverse ?1307))) (multiply ?1308 ?1309)))) ?1307)))) (multiply ?1306 ?1310) =?= multiply (inverse (multiply ?1311 ?1309)) (multiply ?1311 ?1310) [1311, 1310, 1309, 1308, 1307, 1306] by Super 249 with 153 at 2,1,1,3
% 21.33/5.67 Id : 299, {_}: multiply (inverse (multiply ?1306 ?1309)) (multiply ?1306 ?1310) =?= multiply (inverse (multiply ?1311 ?1309)) (multiply ?1311 ?1310) [1311, 1310, 1309, 1306] by Demod 256 with 153 at 2,1,1,2
% 21.33/5.67 Id : 310, {_}: inverse (multiply (multiply (multiply (inverse (multiply ?1489 ?1490)) (multiply ?1489 ?1490)) (inverse (multiply (inverse (multiply ?1491 (inverse (multiply ?1492 ?1490)))) (multiply ?1491 ?1493)))) (multiply ?1492 ?1490)) =>= ?1493 [1493, 1492, 1491, 1490, 1489] by Super 153 with 299 at 1,1,1,2
% 21.33/5.67 Id : 45, {_}: multiply (inverse (multiply ?264 (inverse ?265))) (multiply ?264 (inverse (multiply (multiply (multiply (inverse ?265) ?265) (inverse ?266)) ?265))) =>= ?266 [266, 265, 264] by Super 2 with 5 at 2,2
% 21.33/5.67 Id : 49, {_}: multiply (inverse (multiply ?288 (inverse ?289))) (multiply ?288 (inverse (multiply ?290 ?289))) =?= multiply (multiply (multiply (inverse ?291) ?291) (inverse (multiply (inverse (multiply (multiply (inverse ?289) ?289) (inverse ?291))) ?290))) ?291 [291, 290, 289, 288] by Super 45 with 2 at 1,1,2,2,2
% 21.33/5.67 Id : 11430, {_}: inverse (multiply (inverse (multiply ?86278 (inverse ?86279))) (multiply ?86278 (inverse (multiply (multiply (multiply (inverse ?86279) ?86279) ?86280) ?86279)))) =>= ?86280 [86280, 86279, 86278] by Super 310 with 49 at 1,2
% 21.33/5.67 Id : 334, {_}: multiply (inverse (multiply ?1637 ?1638)) (multiply ?1637 ?1639) =?= multiply (inverse (multiply ?1640 ?1638)) (multiply ?1640 ?1639) [1640, 1639, 1638, 1637] by Demod 256 with 153 at 2,1,1,2
% 21.33/5.67 Id : 347, {_}: multiply (inverse (multiply ?1724 ?1725)) (multiply ?1724 ?1726) =?= multiply ?1727 (multiply (multiply (multiply (inverse ?1725) ?1725) (inverse (multiply (inverse (multiply ?1728 (inverse ?1725))) (multiply ?1728 ?1727)))) ?1726) [1728, 1727, 1726, 1725, 1724] by Super 334 with 153 at 1,3
% 21.33/5.67 Id : 11501, {_}: multiply (multiply (multiply (inverse ?86788) ?86788) (inverse (multiply (inverse (multiply (multiply (inverse ?86789) ?86789) (inverse ?86788))) (multiply (multiply (inverse ?86789) ?86789) (inverse ?86790))))) ?86788 =>= ?86790 [86790, 86789, 86788] by Super 14 with 49 at 2
% 21.33/5.67 Id : 335, {_}: multiply (inverse (multiply ?1642 ?1643)) (multiply ?1642 (inverse (multiply (multiply (multiply (inverse ?1644) ?1644) (inverse (multiply (inverse (multiply ?1645 (inverse ?1644))) ?1646))) ?1644))) =>= multiply (inverse (multiply ?1645 ?1643)) ?1646 [1646, 1645, 1644, 1643, 1642] by Super 334 with 2 at 2,3
% 21.33/5.67 Id : 11516, {_}: multiply (inverse (multiply ?86899 ?86900)) (multiply ?86899 (inverse (multiply (inverse (multiply ?86901 (inverse ?86902))) (multiply ?86901 (inverse (multiply ?86903 ?86902)))))) =>= multiply (inverse (multiply (multiply (inverse ?86902) ?86902) ?86900)) ?86903 [86903, 86902, 86901, 86900, 86899] by Super 335 with 49 at 1,2,2,2
% 21.33/5.67 Id : 16728, {_}: multiply (inverse (multiply ?119868 ?119869)) (multiply ?119868 ?119869) =?= multiply (inverse ?119870) ?119870 [119870, 119869, 119868] by Super 347 with 11501 at 2,3
% 21.33/5.67 Id : 17534, {_}: multiply (inverse ?124592) ?124592 =?= multiply (inverse (multiply (multiply (inverse ?124593) ?124593) (inverse (multiply (inverse (multiply ?124594 (inverse ?124593))) (multiply ?124594 (inverse (multiply ?124595 ?124593))))))) ?124595 [124595, 124594, 124593, 124592] by Super 11516 with 16728 at 2
% 21.33/5.67 Id : 11497, {_}: multiply (multiply (inverse ?86766) ?86766) (inverse (multiply (inverse (multiply ?86767 (inverse ?86766))) (multiply ?86767 (inverse (multiply ?86768 ?86766))))) =>= ?86768 [86768, 86767, 86766] by Super 2 with 49 at 1,2,2
% 21.33/5.67 Id : 17647, {_}: multiply (inverse ?124592) ?124592 =?= multiply (inverse ?124595) ?124595 [124595, 124592] by Demod 17534 with 11497 at 1,1,3
% 21.33/5.67 Id : 18526, {_}: multiply (multiply (multiply (inverse ?130196) ?130196) (inverse (multiply (inverse ?130197) ?130197))) ?130196 =>= ?130196 [130197, 130196] by Super 11501 with 17647 at 1,2,1,2
% 21.33/5.67 Id : 18609, {_}: multiply (multiply (multiply (inverse ?130684) ?130684) (inverse (multiply (inverse ?130685) ?130685))) ?130686 =>= ?130686 [130686, 130685, 130684] by Super 18526 with 17647 at 1,1,2
% 21.33/5.67 Id : 19623, {_}: multiply (inverse (multiply ?133978 ?133979)) (multiply ?133978 ?133980) =>= multiply (inverse ?133979) ?133980 [133980, 133979, 133978] by Super 347 with 18609 at 2,3
% 21.33/5.67 Id : 19993, {_}: inverse (multiply (inverse (inverse ?86279)) (inverse (multiply (multiply (multiply (inverse ?86279) ?86279) ?86280) ?86279))) =>= ?86280 [86280, 86279] by Demod 11430 with 19623 at 1,2
% 21.33/5.67 Id : 20010, {_}: inverse (multiply (multiply (multiply (inverse ?688) ?688) (inverse (multiply (inverse (inverse ?688)) ?693))) ?688) =>= ?693 [693, 688] by Demod 153 with 19623 at 1,2,1,1,2
% 21.33/5.67 Id : 20029, {_}: multiply (inverse (inverse ?289)) (inverse (multiply ?290 ?289)) =<= multiply (multiply (multiply (inverse ?291) ?291) (inverse (multiply (inverse (multiply (multiply (inverse ?289) ?289) (inverse ?291))) ?290))) ?291 [291, 290, 289] by Demod 49 with 19623 at 2
% 21.33/5.67 Id : 20064, {_}: multiply (inverse (inverse (multiply ?135017 ?135018))) (inverse (multiply ?135019 (multiply ?135017 ?135018))) =?= multiply (multiply (multiply (inverse ?135020) ?135020) (inverse (multiply (inverse (multiply (multiply (inverse ?135018) ?135018) (inverse ?135020))) ?135019))) ?135020 [135020, 135019, 135018, 135017] by Super 20029 with 19623 at 1,1,1,1,2,1,3
% 21.33/5.68 Id : 20896, {_}: multiply (inverse (inverse (multiply ?137184 ?137185))) (inverse (multiply ?137186 (multiply ?137184 ?137185))) =>= multiply (inverse (inverse ?137185)) (inverse (multiply ?137186 ?137185)) [137186, 137185, 137184] by Demod 20064 with 20029 at 3
% 21.33/5.68 Id : 24947, {_}: multiply (inverse (inverse (multiply (inverse ?146378) ?146378))) (inverse (multiply ?146379 (multiply (inverse ?146380) ?146380))) =>= multiply (inverse (inverse ?146378)) (inverse (multiply ?146379 ?146378)) [146380, 146379, 146378] by Super 20896 with 17647 at 2,1,2,2
% 21.33/5.68 Id : 24971, {_}: multiply (inverse (inverse (multiply (inverse ?146505) ?146505))) (inverse (multiply (inverse ?146506) ?146506)) =?= multiply (inverse (inverse ?146505)) (inverse (multiply (inverse (multiply (inverse ?146507) ?146507)) ?146505)) [146507, 146506, 146505] by Super 24947 with 17647 at 1,2,2
% 21.33/5.68 Id : 470, {_}: multiply (inverse (multiply ?2328 (multiply ?2329 (inverse (multiply (multiply (multiply (inverse ?2330) ?2330) (inverse ?2331)) ?2330))))) (multiply ?2328 ?2332) =>= multiply (inverse ?2331) (multiply (inverse (multiply ?2329 (inverse ?2330))) ?2332) [2332, 2331, 2330, 2329, 2328] by Super 334 with 14 at 1,1,3
% 21.33/5.68 Id : 478, {_}: multiply (inverse (multiply ?2390 (multiply ?2391 (inverse (multiply (multiply (multiply (inverse ?2392) ?2392) ?2393) ?2392))))) (multiply ?2390 ?2394) =?= multiply (inverse (multiply (multiply (multiply (inverse ?2395) ?2395) (inverse (multiply (inverse (multiply ?2396 (inverse ?2395))) (multiply ?2396 ?2393)))) ?2395)) (multiply (inverse (multiply ?2391 (inverse ?2392))) ?2394) [2396, 2395, 2394, 2393, 2392, 2391, 2390] by Super 470 with 153 at 2,1,1,2,2,1,1,2
% 21.33/5.68 Id : 535, {_}: multiply (inverse (multiply ?2704 (multiply ?2705 (inverse (multiply (multiply (multiply (inverse ?2706) ?2706) ?2707) ?2706))))) (multiply ?2704 ?2708) =>= multiply ?2707 (multiply (inverse (multiply ?2705 (inverse ?2706))) ?2708) [2708, 2707, 2706, 2705, 2704] by Demod 478 with 153 at 1,3
% 21.33/5.68 Id : 558, {_}: multiply (inverse (multiply (inverse (multiply ?2881 ?2882)) (multiply ?2881 (inverse (multiply (multiply (multiply (inverse ?2883) ?2883) ?2884) ?2883))))) (multiply (inverse (multiply ?2885 ?2882)) ?2886) =>= multiply ?2884 (multiply (inverse (multiply ?2885 (inverse ?2883))) ?2886) [2886, 2885, 2884, 2883, 2882, 2881] by Super 535 with 299 at 1,1,2
% 21.33/5.68 Id : 20014, {_}: multiply (inverse (multiply (inverse ?2882) (inverse (multiply (multiply (multiply (inverse ?2883) ?2883) ?2884) ?2883)))) (multiply (inverse (multiply ?2885 ?2882)) ?2886) =>= multiply ?2884 (multiply (inverse (multiply ?2885 (inverse ?2883))) ?2886) [2886, 2885, 2884, 2883, 2882] by Demod 558 with 19623 at 1,1,2
% 21.33/5.68 Id : 345, {_}: multiply (inverse (multiply ?1710 (multiply ?1711 ?1712))) (multiply ?1710 ?1713) =?= multiply (inverse (multiply (inverse (multiply ?1714 ?1715)) (multiply ?1714 ?1712))) (multiply (inverse (multiply ?1711 ?1715)) ?1713) [1715, 1714, 1713, 1712, 1711, 1710] by Super 334 with 299 at 1,1,3
% 21.33/5.68 Id : 20021, {_}: multiply (inverse (multiply ?1711 ?1712)) ?1713 =<= multiply (inverse (multiply (inverse (multiply ?1714 ?1715)) (multiply ?1714 ?1712))) (multiply (inverse (multiply ?1711 ?1715)) ?1713) [1715, 1714, 1713, 1712, 1711] by Demod 345 with 19623 at 2
% 21.33/5.68 Id : 20022, {_}: multiply (inverse (multiply ?1711 ?1712)) ?1713 =<= multiply (inverse (multiply (inverse ?1715) ?1712)) (multiply (inverse (multiply ?1711 ?1715)) ?1713) [1715, 1713, 1712, 1711] by Demod 20021 with 19623 at 1,1,3
% 21.33/5.68 Id : 20039, {_}: multiply (inverse (multiply ?2885 (inverse (multiply (multiply (multiply (inverse ?2883) ?2883) ?2884) ?2883)))) ?2886 =>= multiply ?2884 (multiply (inverse (multiply ?2885 (inverse ?2883))) ?2886) [2886, 2884, 2883, 2885] by Demod 20014 with 20022 at 2
% 21.33/5.68 Id : 20095, {_}: multiply (inverse (inverse (multiply (multiply (multiply (inverse ?135178) ?135178) ?135179) ?135178))) ?135180 =?= multiply ?135179 (multiply (inverse (multiply ?135181 (inverse ?135178))) (multiply ?135181 ?135180)) [135181, 135180, 135179, 135178] by Super 20039 with 19623 at 2
% 21.33/5.68 Id : 20343, {_}: multiply (inverse (inverse (multiply (multiply (multiply (inverse ?135854) ?135854) ?135855) ?135854))) ?135856 =>= multiply ?135855 (multiply (inverse (inverse ?135854)) ?135856) [135856, 135855, 135854] by Demod 20095 with 19623 at 2,3
% 21.33/5.68 Id : 20530, {_}: multiply (inverse (inverse ?136316)) ?136317 =<= multiply (inverse (multiply (inverse ?136318) ?136318)) (multiply (inverse (inverse ?136316)) ?136317) [136318, 136317, 136316] by Super 20343 with 18609 at 1,1,1,2
% 21.33/5.68 Id : 20535, {_}: multiply (inverse (inverse ?136343)) (inverse (multiply (multiply (multiply (inverse ?136344) ?136344) (inverse (multiply (inverse (multiply (inverse (inverse ?136343)) (inverse ?136344))) ?136345))) ?136344)) =?= multiply (inverse (multiply (inverse ?136346) ?136346)) ?136345 [136346, 136345, 136344, 136343] by Super 20530 with 2 at 2,3
% 21.33/5.68 Id : 20622, {_}: ?136345 =<= multiply (inverse (multiply (inverse ?136346) ?136346)) ?136345 [136346, 136345] by Demod 20535 with 2 at 2
% 21.33/5.68 Id : 25244, {_}: multiply (inverse (inverse (multiply (inverse ?146505) ?146505))) (inverse (multiply (inverse ?146506) ?146506)) =>= multiply (inverse (inverse ?146505)) (inverse ?146505) [146506, 146505] by Demod 24971 with 20622 at 1,2,3
% 21.33/5.68 Id : 25400, {_}: inverse (multiply (multiply (multiply (inverse (multiply (inverse ?146994) ?146994)) (multiply (inverse ?146994) ?146994)) (inverse (multiply (inverse (inverse ?146994)) (inverse ?146994)))) (multiply (inverse ?146994) ?146994)) =?= inverse (multiply (inverse ?146995) ?146995) [146995, 146994] by Super 20010 with 25244 at 1,2,1,1,2
% 21.33/5.68 Id : 25490, {_}: inverse (multiply (inverse ?146994) ?146994) =?= inverse (multiply (inverse ?146995) ?146995) [146995, 146994] by Demod 25400 with 18609 at 1,2
% 21.33/5.68 Id : 25704, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?147498) ?147498))) (inverse (multiply (multiply (multiply (inverse (multiply (inverse ?147499) ?147499)) (multiply (inverse ?147499) ?147499)) ?147500) (multiply (inverse ?147499) ?147499)))) =>= ?147500 [147500, 147499, 147498] by Super 19993 with 25490 at 1,1,1,2
% 21.33/5.68 Id : 20899, {_}: multiply (inverse (inverse (multiply (inverse ?137199) ?137199))) (inverse (multiply ?137200 (multiply (inverse ?137201) ?137201))) =>= multiply (inverse (inverse ?137199)) (inverse (multiply ?137200 ?137199)) [137201, 137200, 137199] by Super 20896 with 17647 at 2,1,2,2
% 21.33/5.68 Id : 26189, {_}: inverse (multiply (inverse (inverse ?147498)) (inverse (multiply (multiply (multiply (inverse (multiply (inverse ?147499) ?147499)) (multiply (inverse ?147499) ?147499)) ?147500) ?147498))) =>= ?147500 [147500, 147499, 147498] by Demod 25704 with 20899 at 1,2
% 21.33/5.68 Id : 26190, {_}: inverse (multiply (inverse (inverse ?147498)) (inverse (multiply (multiply (multiply (inverse ?147499) ?147499) ?147500) ?147498))) =>= ?147500 [147500, 147499, 147498] by Demod 26189 with 19623 at 1,1,1,2,1,2
% 21.33/5.68 Id : 52, {_}: multiply (inverse (multiply ?305 (inverse ?306))) (multiply ?305 (multiply ?307 (inverse (multiply (multiply (multiply (inverse ?308) ?308) (inverse ?309)) ?308)))) =>= multiply (inverse (multiply (inverse (multiply ?307 (inverse ?308))) (inverse ?306))) ?309 [309, 308, 307, 306, 305] by Super 45 with 5 at 2,2,2
% 21.33/5.68 Id : 164, {_}: multiply (inverse (multiply ?866 ?867)) (multiply ?866 (multiply ?868 (inverse (multiply (multiply (multiply (inverse ?869) ?869) (inverse ?870)) ?869)))) =?= multiply (inverse (multiply (inverse (multiply ?868 (inverse ?869))) (inverse (multiply (multiply (multiply (inverse ?871) ?871) (inverse (multiply (inverse (multiply ?872 (inverse ?871))) (multiply ?872 ?867)))) ?871)))) ?870 [872, 871, 870, 869, 868, 867, 866] by Super 52 with 153 at 2,1,1,2
% 21.33/5.68 Id : 217, {_}: multiply (inverse (multiply ?866 ?867)) (multiply ?866 (multiply ?868 (inverse (multiply (multiply (multiply (inverse ?869) ?869) (inverse ?870)) ?869)))) =>= multiply (inverse (multiply (inverse (multiply ?868 (inverse ?869))) ?867)) ?870 [870, 869, 868, 867, 866] by Demod 164 with 153 at 2,1,1,3
% 21.33/5.68 Id : 20008, {_}: multiply (inverse ?867) (multiply ?868 (inverse (multiply (multiply (multiply (inverse ?869) ?869) (inverse ?870)) ?869))) =>= multiply (inverse (multiply (inverse (multiply ?868 (inverse ?869))) ?867)) ?870 [870, 869, 868, 867] by Demod 217 with 19623 at 2
% 21.33/5.68 Id : 20098, {_}: multiply (inverse ?135193) (inverse (multiply (multiply (multiply (inverse ?135194) ?135194) (inverse ?135195)) ?135194)) =?= multiply (inverse (multiply (inverse (multiply ?135196 (inverse ?135194))) (multiply ?135196 ?135193))) ?135195 [135196, 135195, 135194, 135193] by Super 20008 with 19623 at 2
% 21.33/5.68 Id : 22369, {_}: multiply (inverse ?141105) (inverse (multiply (multiply (multiply (inverse ?141106) ?141106) (inverse ?141107)) ?141106)) =>= multiply (inverse (multiply (inverse (inverse ?141106)) ?141105)) ?141107 [141107, 141106, 141105] by Demod 20098 with 19623 at 1,1,3
% 21.33/5.68 Id : 22688, {_}: multiply (inverse ?141668) (inverse ?141669) =<= multiply (inverse (multiply (inverse (inverse ?141669)) ?141668)) (multiply (inverse ?141670) ?141670) [141670, 141669, 141668] by Super 22369 with 18609 at 1,2,2
% 21.33/5.68 Id : 306, {_}: inverse (multiply (multiply (multiply (inverse ?1469) ?1469) (inverse (multiply (inverse (multiply (inverse (multiply ?1470 ?1471)) (inverse ?1469))) (multiply (inverse (multiply ?1472 ?1471)) (multiply ?1472 ?1473))))) ?1469) =>= multiply ?1470 ?1473 [1473, 1472, 1471, 1470, 1469] by Super 153 with 299 at 2,1,2,1,1,2
% 21.33/5.68 Id : 12365, {_}: multiply (multiply (inverse ?92031) ?92031) (inverse (multiply (inverse (multiply ?92032 (inverse ?92031))) (multiply ?92032 (inverse (multiply ?92033 ?92031))))) =>= ?92033 [92033, 92032, 92031] by Super 2 with 49 at 1,2,2
% 21.33/5.68 Id : 330, {_}: multiply (inverse (multiply ?1617 (inverse (multiply ?1618 ?1619)))) (multiply ?1617 (inverse (multiply (multiply (multiply (inverse (multiply ?1620 ?1619)) (multiply ?1620 ?1619)) (inverse ?1621)) (multiply ?1618 ?1619)))) =>= ?1621 [1621, 1620, 1619, 1618, 1617] by Super 14 with 299 at 1,1,1,2,2,2
% 21.33/5.68 Id : 12445, {_}: multiply (multiply (inverse (multiply ?92573 ?92574)) (multiply ?92573 ?92574)) (inverse ?92575) =?= multiply (multiply (inverse (multiply ?92576 ?92574)) (multiply ?92576 ?92574)) (inverse ?92575) [92576, 92575, 92574, 92573] by Super 12365 with 330 at 1,2,2
% 21.33/5.68 Id : 14350, {_}: inverse (multiply (multiply (multiply (inverse ?104816) ?104816) (inverse (multiply (inverse (multiply (inverse (multiply (multiply (inverse (multiply ?104817 ?104818)) (multiply ?104817 ?104818)) (inverse ?104819))) (inverse ?104816))) (multiply (inverse (multiply ?104820 (inverse ?104819))) (multiply ?104820 ?104821))))) ?104816) =?= multiply (multiply (inverse (multiply ?104822 ?104818)) (multiply ?104822 ?104818)) ?104821 [104822, 104821, 104820, 104819, 104818, 104817, 104816] by Super 306 with 12445 at 1,1,1,1,1,2,1,1,2
% 21.33/5.68 Id : 14749, {_}: multiply (multiply (inverse (multiply ?104817 ?104818)) (multiply ?104817 ?104818)) ?104821 =?= multiply (multiply (inverse (multiply ?104822 ?104818)) (multiply ?104822 ?104818)) ?104821 [104822, 104821, 104818, 104817] by Demod 14350 with 306 at 2
% 21.33/5.68 Id : 17691, {_}: multiply (multiply (multiply (inverse ?125344) ?125344) (inverse (multiply (inverse ?125345) ?125345))) ?125344 =>= ?125344 [125345, 125344] by Super 11501 with 17647 at 1,2,1,2
% 21.33/5.68 Id : 18521, {_}: multiply (multiply (inverse (multiply ?130174 ?130175)) (multiply ?130174 ?130175)) ?130176 =?= multiply (multiply (inverse (multiply (multiply (multiply (inverse ?130175) ?130175) (inverse (multiply (inverse ?130177) ?130177))) ?130175)) ?130175) ?130176 [130177, 130176, 130175, 130174] by Super 14749 with 17691 at 2,1,3
% 21.33/5.68 Id : 18633, {_}: multiply (multiply (inverse (multiply ?130174 ?130175)) (multiply ?130174 ?130175)) ?130176 =>= multiply (multiply (inverse ?130175) ?130175) ?130176 [130176, 130175, 130174] by Demod 18521 with 17691 at 1,1,1,3
% 21.33/5.68 Id : 18695, {_}: inverse (multiply (multiply (multiply (inverse ?1490) ?1490) (inverse (multiply (inverse (multiply ?1491 (inverse (multiply ?1492 ?1490)))) (multiply ?1491 ?1493)))) (multiply ?1492 ?1490)) =>= ?1493 [1493, 1492, 1491, 1490] by Demod 310 with 18633 at 1,1,2
% 21.33/5.68 Id : 19987, {_}: inverse (multiply (multiply (multiply (inverse ?1490) ?1490) (inverse (multiply (inverse (inverse (multiply ?1492 ?1490))) ?1493))) (multiply ?1492 ?1490)) =>= ?1493 [1493, 1492, 1490] by Demod 18695 with 19623 at 1,2,1,1,2
% 21.33/5.68 Id : 22710, {_}: multiply (inverse ?141785) (inverse (multiply (multiply (multiply (inverse ?141786) ?141786) (inverse (multiply (inverse (inverse (multiply ?141787 ?141786))) ?141788))) (multiply ?141787 ?141786))) =?= multiply (inverse (multiply (inverse ?141788) ?141785)) (multiply (inverse ?141789) ?141789) [141789, 141788, 141787, 141786, 141785] by Super 22688 with 19987 at 1,1,1,1,3
% 21.33/5.68 Id : 22949, {_}: multiply (inverse ?142239) ?142240 =<= multiply (inverse (multiply (inverse ?142240) ?142239)) (multiply (inverse ?142241) ?142241) [142241, 142240, 142239] by Demod 22710 with 19987 at 2,2
% 21.33/5.68 Id : 20195, {_}: multiply (inverse (inverse (multiply ?135017 ?135018))) (inverse (multiply ?135019 (multiply ?135017 ?135018))) =>= multiply (inverse (inverse ?135018)) (inverse (multiply ?135019 ?135018)) [135019, 135018, 135017] by Demod 20064 with 20029 at 3
% 21.33/5.68 Id : 22987, {_}: multiply (inverse (inverse (multiply ?142446 (multiply ?142447 ?142448)))) (inverse (multiply ?142447 ?142448)) =?= multiply (inverse (multiply (inverse (inverse ?142448)) (inverse (multiply ?142446 ?142448)))) (multiply (inverse ?142449) ?142449) [142449, 142448, 142447, 142446] by Super 22949 with 20195 at 1,1,3
% 21.33/5.68 Id : 22844, {_}: multiply (inverse ?141785) ?141788 =<= multiply (inverse (multiply (inverse ?141788) ?141785)) (multiply (inverse ?141789) ?141789) [141789, 141788, 141785] by Demod 22710 with 19987 at 2,2
% 21.33/5.68 Id : 23141, {_}: multiply (inverse (inverse (multiply ?142446 (multiply ?142447 ?142448)))) (inverse (multiply ?142447 ?142448)) =>= multiply (inverse (inverse (multiply ?142446 ?142448))) (inverse ?142448) [142448, 142447, 142446] by Demod 22987 with 22844 at 3
% 21.33/5.68 Id : 25842, {_}: multiply (inverse (inverse (multiply ?148190 (multiply (inverse ?148191) ?148191)))) (inverse (multiply (inverse ?148192) ?148192)) =>= multiply (inverse (inverse (multiply ?148190 ?148191))) (inverse ?148191) [148192, 148191, 148190] by Super 23141 with 25490 at 2,2
% 21.33/5.68 Id : 24877, {_}: multiply (inverse (inverse (multiply ?146055 (multiply (inverse ?146056) ?146056)))) (inverse (multiply (inverse ?146057) ?146057)) =?= multiply (inverse (multiply (inverse (inverse ?146057)) (inverse (multiply ?146055 ?146057)))) (multiply (inverse ?146058) ?146058) [146058, 146057, 146056, 146055] by Super 22844 with 20899 at 1,1,3
% 21.33/5.68 Id : 25190, {_}: multiply (inverse (inverse (multiply ?146055 (multiply (inverse ?146056) ?146056)))) (inverse (multiply (inverse ?146057) ?146057)) =>= multiply (inverse (inverse (multiply ?146055 ?146057))) (inverse ?146057) [146057, 146056, 146055] by Demod 24877 with 22844 at 3
% 21.33/5.68 Id : 31860, {_}: multiply (inverse (inverse (multiply ?148190 ?148192))) (inverse ?148192) =?= multiply (inverse (inverse (multiply ?148190 ?148191))) (inverse ?148191) [148191, 148192, 148190] by Demod 25842 with 25190 at 2
% 21.33/5.68 Id : 258, {_}: multiply (inverse (multiply ?1321 (inverse (multiply (multiply (multiply (inverse ?1322) ?1322) (inverse (multiply (inverse (multiply ?1323 (inverse ?1322))) ?1324))) ?1322)))) (multiply ?1321 ?1325) =>= multiply (inverse ?1324) (multiply ?1323 ?1325) [1325, 1324, 1323, 1322, 1321] by Super 249 with 2 at 1,1,3
% 21.33/5.68 Id : 11473, {_}: multiply (inverse (multiply ?86617 (inverse (multiply (inverse (multiply ?86618 (inverse ?86619))) (multiply ?86618 (inverse (multiply ?86620 ?86619))))))) (multiply ?86617 ?86621) =>= multiply (inverse ?86620) (multiply (multiply (inverse ?86619) ?86619) ?86621) [86621, 86620, 86619, 86618, 86617] by Super 258 with 49 at 1,2,1,1,2
% 21.33/5.68 Id : 20031, {_}: multiply (inverse (inverse (multiply (inverse (multiply ?86618 (inverse ?86619))) (multiply ?86618 (inverse (multiply ?86620 ?86619)))))) ?86621 =>= multiply (inverse ?86620) (multiply (multiply (inverse ?86619) ?86619) ?86621) [86621, 86620, 86619, 86618] by Demod 11473 with 19623 at 2
% 21.33/5.68 Id : 20032, {_}: multiply (inverse (inverse (multiply (inverse (inverse ?86619)) (inverse (multiply ?86620 ?86619))))) ?86621 =>= multiply (inverse ?86620) (multiply (multiply (inverse ?86619) ?86619) ?86621) [86621, 86620, 86619] by Demod 20031 with 19623 at 1,1,1,2
% 21.33/5.68 Id : 20067, {_}: multiply (inverse (inverse (multiply (inverse (inverse (multiply ?135031 ?135032))) (inverse (multiply (inverse ?135033) ?135032))))) ?135034 =?= multiply (inverse (inverse (multiply ?135031 ?135033))) (multiply (multiply (inverse (multiply ?135031 ?135032)) (multiply ?135031 ?135032)) ?135034) [135034, 135033, 135032, 135031] by Super 20032 with 19623 at 1,2,1,1,1,2
% 21.33/5.68 Id : 35166, {_}: multiply (inverse (inverse (multiply (inverse (inverse (multiply ?168680 ?168681))) (inverse (multiply (inverse ?168682) ?168681))))) ?168683 =>= multiply (inverse (inverse (multiply ?168680 ?168682))) (multiply (multiply (inverse ?168681) ?168681) ?168683) [168683, 168682, 168681, 168680] by Demod 20067 with 19623 at 1,2,3
% 21.33/5.68 Id : 20349, {_}: multiply (inverse (inverse (multiply (multiply (multiply (inverse ?135887) ?135887) ?135888) ?135889))) ?135890 =>= multiply ?135888 (multiply (inverse (inverse ?135889)) ?135890) [135890, 135889, 135888, 135887] by Super 20343 with 17647 at 1,1,1,1,1,2
% 21.33/5.68 Id : 35270, {_}: multiply (inverse (inverse (multiply ?169328 (multiply (inverse (inverse ?169329)) (inverse (multiply (inverse ?169330) ?169329)))))) ?169331 =<= multiply (inverse (inverse (multiply (multiply (multiply (inverse ?169332) ?169332) ?169328) ?169330))) (multiply (multiply (inverse ?169329) ?169329) ?169331) [169332, 169331, 169330, 169329, 169328] by Super 35166 with 20349 at 1,1,1,2
% 21.33/5.68 Id : 40542, {_}: multiply (inverse (inverse (multiply ?184011 (multiply (inverse (inverse ?184012)) (inverse (multiply (inverse ?184013) ?184012)))))) ?184014 =>= multiply ?184011 (multiply (inverse (inverse ?184013)) (multiply (multiply (inverse ?184012) ?184012) ?184014)) [184014, 184013, 184012, 184011] by Demod 35270 with 20349 at 3
% 21.33/5.68 Id : 40544, {_}: multiply (inverse (inverse (multiply ?184022 (multiply (inverse (inverse ?184023)) (inverse (multiply ?184024 ?184023)))))) ?184025 =<= multiply ?184022 (multiply (inverse (inverse (multiply (inverse (inverse ?184026)) (inverse (multiply (multiply (multiply (inverse ?184027) ?184027) ?184024) ?184026))))) (multiply (multiply (inverse ?184023) ?184023) ?184025)) [184027, 184026, 184025, 184024, 184023, 184022] by Super 40542 with 26190 at 1,1,2,2,1,1,1,2
% 21.33/5.68 Id : 40776, {_}: multiply (inverse (inverse (multiply ?184022 (multiply (inverse (inverse ?184023)) (inverse (multiply ?184024 ?184023)))))) ?184025 =<= multiply ?184022 (multiply (inverse (multiply (multiply (inverse ?184027) ?184027) ?184024)) (multiply (multiply (inverse ?184026) ?184026) (multiply (multiply (inverse ?184023) ?184023) ?184025))) [184026, 184027, 184025, 184024, 184023, 184022] by Demod 40544 with 20032 at 2,3
% 21.33/5.68 Id : 32493, {_}: multiply (inverse ?160627) ?160628 =<= multiply (inverse (multiply (multiply (inverse ?160629) ?160629) ?160627)) (multiply (multiply (inverse ?160630) ?160630) ?160628) [160630, 160629, 160628, 160627] by Super 20032 with 26190 at 1,1,2
% 21.33/5.68 Id : 40777, {_}: multiply (inverse (inverse (multiply ?184022 (multiply (inverse (inverse ?184023)) (inverse (multiply ?184024 ?184023)))))) ?184025 =>= multiply ?184022 (multiply (inverse ?184024) (multiply (multiply (inverse ?184023) ?184023) ?184025)) [184025, 184024, 184023, 184022] by Demod 40776 with 32493 at 2,3
% 21.33/5.68 Id : 40972, {_}: multiply (inverse (inverse (multiply ?184990 ?184991))) (inverse ?184991) =?= multiply ?184990 (multiply (inverse ?184992) (multiply (multiply (inverse ?184993) ?184993) (inverse (multiply (inverse (inverse ?184993)) (inverse (multiply ?184992 ?184993)))))) [184993, 184992, 184991, 184990] by Super 31860 with 40777 at 3
% 21.33/5.68 Id : 20030, {_}: multiply (multiply (inverse ?86766) ?86766) (inverse (multiply (inverse (inverse ?86766)) (inverse (multiply ?86768 ?86766)))) =>= ?86768 [86768, 86766] by Demod 11497 with 19623 at 1,2,2
% 21.33/5.68 Id : 25730, {_}: multiply (multiply (inverse (multiply (inverse ?147620) ?147620)) (multiply (inverse ?147620) ?147620)) (inverse (multiply (inverse (inverse (multiply (inverse ?147621) ?147621))) (inverse (multiply ?147622 (multiply (inverse ?147620) ?147620))))) =>= ?147622 [147622, 147621, 147620] by Super 20030 with 25490 at 1,1,1,2,2
% 21.33/5.68 Id : 26135, {_}: multiply (multiply (inverse ?147620) ?147620) (inverse (multiply (inverse (inverse (multiply (inverse ?147621) ?147621))) (inverse (multiply ?147622 (multiply (inverse ?147620) ?147620))))) =>= ?147622 [147622, 147621, 147620] by Demod 25730 with 19623 at 1,2
% 21.33/5.68 Id : 26136, {_}: multiply (multiply (inverse ?147620) ?147620) (inverse (multiply (inverse (inverse ?147621)) (inverse (multiply ?147622 ?147621)))) =>= ?147622 [147622, 147621, 147620] by Demod 26135 with 20899 at 1,2,2
% 21.33/5.68 Id : 41303, {_}: multiply (inverse (inverse (multiply ?184990 ?184991))) (inverse ?184991) =?= multiply ?184990 (multiply (inverse ?184992) ?184992) [184992, 184991, 184990] by Demod 40972 with 26136 at 2,2,3
% 21.33/5.68 Id : 42340, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?188443) ?188443))) (inverse (multiply (inverse (inverse (multiply (multiply (multiply (inverse ?188444) ?188444) ?188445) ?188446))) (inverse ?188446)))) =>= ?188445 [188446, 188445, 188444, 188443] by Super 26190 with 41303 at 1,2,1,2
% 21.33/5.68 Id : 42819, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?188443) ?188443))) (inverse (multiply ?188445 (multiply (inverse (inverse ?188446)) (inverse ?188446))))) =>= ?188445 [188446, 188445, 188443] by Demod 42340 with 20349 at 1,2,1,2
% 21.33/5.68 Id : 42820, {_}: inverse (multiply (inverse (inverse ?188443)) (inverse (multiply ?188445 ?188443))) =>= ?188445 [188445, 188443] by Demod 42819 with 20899 at 1,2
% 21.33/5.68 Id : 43214, {_}: multiply (multiply (inverse ?147499) ?147499) ?147500 =>= ?147500 [147500, 147499] by Demod 26190 with 42820 at 2
% 21.33/5.68 Id : 43491, {_}: a2 === a2 [] by Demod 1 with 43214 at 2
% 21.33/5.68 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 21.33/5.68 % SZS output end CNFRefutation for theBenchmark.p
% 21.33/5.68 6685: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 5.344898 using nrkbo
%------------------------------------------------------------------------------