TSTP Solution File: GRP587-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP587-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n006.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 10:30:53 EDT 2022
% Result : Unsatisfiable 103.20s 26.11s
% Output : CNFRefutation 103.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP587-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n006.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 : Tue Jun 14 08:10:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 23922: Facts:
% 0.12/0.33 23922: Id : 2, {_}:
% 0.12/0.33 double_divide ?2
% 0.12/0.33 (inverse
% 0.12/0.33 (double_divide
% 0.12/0.33 (inverse (double_divide (double_divide ?2 ?3) (inverse ?4)))
% 0.12/0.33 ?3))
% 0.12/0.33 =>=
% 0.12/0.33 ?4
% 0.12/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.33 23922: Id : 3, {_}:
% 0.12/0.33 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.12/0.33 [7, 6] by multiply ?6 ?7
% 0.12/0.33 23922: Goal:
% 0.12/0.33 23922: Id : 1, {_}:
% 0.12/0.33 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.33 [] by prove_these_axioms_3
% 103.20/26.11 Statistics :
% 103.20/26.11 Max weight : 37
% 103.20/26.11 Found proof, 25.779662s
% 103.20/26.11 % SZS status Unsatisfiable for theBenchmark.p
% 103.20/26.11 % SZS output start CNFRefutation for theBenchmark.p
% 103.20/26.11 Id : 4, {_}: double_divide ?9 (inverse (double_divide (inverse (double_divide (double_divide ?9 ?10) (inverse ?11))) ?10)) =>= ?11 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 103.20/26.11 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 103.20/26.11 Id : 2, {_}: double_divide ?2 (inverse (double_divide (inverse (double_divide (double_divide ?2 ?3) (inverse ?4))) ?3)) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 103.20/26.11 Id : 11, {_}: multiply ?30 ?31 =<= inverse (double_divide ?31 ?30) [31, 30] by multiply ?30 ?31
% 103.20/26.11 Id : 8, {_}: double_divide ?2 (multiply ?3 (inverse (double_divide (double_divide ?2 ?3) (inverse ?4)))) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 2,2
% 103.20/26.11 Id : 9, {_}: double_divide ?2 (multiply ?3 (multiply (inverse ?4) (double_divide ?2 ?3))) =>= ?4 [4, 3, 2] by Demod 8 with 3 at 2,2,2
% 103.20/26.11 Id : 12, {_}: multiply (multiply ?33 (multiply (inverse ?34) (double_divide ?35 ?33))) ?35 =>= inverse ?34 [35, 34, 33] by Super 11 with 9 at 1,3
% 103.20/26.11 Id : 5, {_}: double_divide ?13 (inverse (double_divide (inverse (double_divide ?14 (inverse ?15))) (inverse (double_divide (inverse (double_divide (double_divide ?13 ?16) (inverse ?14))) ?16)))) =>= ?15 [16, 15, 14, 13] by Super 4 with 2 at 1,1,1,1,2,2
% 103.20/26.11 Id : 14, {_}: double_divide ?13 (multiply (inverse (double_divide (inverse (double_divide (double_divide ?13 ?16) (inverse ?14))) ?16)) (inverse (double_divide ?14 (inverse ?15)))) =>= ?15 [15, 14, 16, 13] by Demod 5 with 3 at 2,2
% 103.20/26.11 Id : 15, {_}: double_divide ?13 (multiply (multiply ?16 (inverse (double_divide (double_divide ?13 ?16) (inverse ?14)))) (inverse (double_divide ?14 (inverse ?15)))) =>= ?15 [15, 14, 16, 13] by Demod 14 with 3 at 1,2,2
% 103.20/26.11 Id : 16, {_}: double_divide ?13 (multiply (multiply ?16 (inverse (double_divide (double_divide ?13 ?16) (inverse ?14)))) (multiply (inverse ?15) ?14)) =>= ?15 [15, 14, 16, 13] by Demod 15 with 3 at 2,2,2
% 103.20/26.11 Id : 17, {_}: double_divide ?13 (multiply (multiply ?16 (multiply (inverse ?14) (double_divide ?13 ?16))) (multiply (inverse ?15) ?14)) =>= ?15 [15, 14, 16, 13] by Demod 16 with 3 at 2,1,2,2
% 103.20/26.11 Id : 26, {_}: double_divide (multiply (inverse ?83) ?84) (inverse ?84) =>= ?83 [84, 83] by Super 17 with 12 at 2,2
% 103.20/26.11 Id : 34, {_}: multiply (inverse ?113) (multiply (inverse ?114) ?113) =>= inverse ?114 [114, 113] by Super 3 with 26 at 1,3
% 103.20/26.11 Id : 60, {_}: double_divide (inverse ?219) (inverse (multiply (inverse ?219) ?220)) =>= ?220 [220, 219] by Super 26 with 34 at 1,2
% 103.20/26.11 Id : 72, {_}: double_divide (inverse ?259) (inverse (multiply (inverse ?259) ?260)) =>= ?260 [260, 259] by Super 26 with 34 at 1,2
% 103.20/26.11 Id : 109, {_}: double_divide (inverse ?400) (inverse (inverse ?401)) =>= multiply (inverse ?401) ?400 [401, 400] by Super 72 with 34 at 1,2,2
% 103.20/26.11 Id : 110, {_}: double_divide (inverse ?403) (inverse (multiply ?404 ?405)) =>= multiply (inverse (double_divide ?405 ?404)) ?403 [405, 404, 403] by Super 109 with 3 at 1,2,2
% 103.20/26.11 Id : 113, {_}: double_divide (inverse ?403) (inverse (multiply ?404 ?405)) =>= multiply (multiply ?404 ?405) ?403 [405, 404, 403] by Demod 110 with 3 at 1,3
% 103.20/26.11 Id : 179, {_}: multiply (multiply (inverse ?219) ?220) ?219 =>= ?220 [220, 219] by Demod 60 with 113 at 2
% 103.20/26.11 Id : 187, {_}: double_divide (inverse ?658) (inverse (multiply ?659 ?660)) =>= multiply (multiply ?659 ?660) ?658 [660, 659, 658] by Demod 110 with 3 at 1,3
% 103.20/26.11 Id : 192, {_}: double_divide (inverse ?681) (inverse ?682) =<= multiply (multiply (multiply (inverse ?683) ?682) ?683) ?681 [683, 682, 681] by Super 187 with 179 at 1,2,2
% 103.20/26.11 Id : 203, {_}: double_divide (inverse ?681) (inverse ?682) =>= multiply ?682 ?681 [682, 681] by Demod 192 with 179 at 1,3
% 103.20/26.11 Id : 208, {_}: multiply (inverse ?704) (inverse ?705) =>= inverse (multiply ?704 ?705) [705, 704] by Super 3 with 203 at 1,3
% 103.20/26.11 Id : 218, {_}: multiply (inverse (multiply ?739 ?740)) ?739 =>= inverse ?740 [740, 739] by Super 179 with 208 at 1,2
% 103.20/26.11 Id : 672, {_}: multiply (multiply ?2198 (inverse ?2199)) ?2200 =>= inverse (multiply (double_divide ?2200 ?2198) ?2199) [2200, 2199, 2198] by Super 12 with 218 at 2,1,2
% 103.20/26.11 Id : 678, {_}: multiply (inverse (multiply ?2227 ?2228)) ?2229 =<= inverse (multiply (double_divide ?2229 (inverse ?2227)) ?2228) [2229, 2228, 2227] by Super 672 with 208 at 1,2
% 103.20/26.11 Id : 213, {_}: double_divide (inverse ?725) (inverse ?726) =>= multiply ?726 ?725 [726, 725] by Demod 192 with 179 at 1,3
% 103.20/26.11 Id : 215, {_}: double_divide (multiply ?732 ?733) (inverse ?734) =>= multiply ?734 (double_divide ?733 ?732) [734, 733, 732] by Super 213 with 3 at 1,2
% 103.20/26.11 Id : 303, {_}: multiply ?84 (double_divide ?84 (inverse ?83)) =>= ?83 [83, 84] by Demod 26 with 215 at 2
% 103.20/26.11 Id : 20, {_}: double_divide ?51 (multiply (multiply ?52 (multiply (inverse ?53) (double_divide ?51 ?52))) (multiply (inverse ?54) ?53)) =>= ?54 [54, 53, 52, 51] by Demod 16 with 3 at 2,1,2,2
% 103.20/26.11 Id : 23, {_}: double_divide ?68 (multiply (multiply (multiply (multiply ?69 (multiply (inverse ?70) (double_divide ?68 ?69))) (multiply (inverse ?71) ?70)) (multiply (inverse ?72) ?71)) (multiply (inverse ?73) ?72)) =>= ?73 [73, 72, 71, 70, 69, 68] by Super 20 with 17 at 2,2,1,2,2
% 103.20/26.11 Id : 225, {_}: multiply (inverse ?767) (inverse ?768) =>= inverse (multiply ?767 ?768) [768, 767] by Super 3 with 203 at 1,3
% 103.20/26.11 Id : 227, {_}: multiply (multiply ?774 ?775) (inverse ?776) =>= inverse (multiply (double_divide ?775 ?774) ?776) [776, 775, 774] by Super 225 with 3 at 1,2
% 103.20/26.11 Id : 432, {_}: inverse (multiply (double_divide ?1446 (inverse (inverse ?1447))) ?1447) =>= ?1446 [1447, 1446] by Super 179 with 227 at 2
% 103.20/26.11 Id : 1337, {_}: multiply (inverse (multiply (inverse ?1447) ?1447)) ?1446 =>= ?1446 [1446, 1447] by Demod 432 with 678 at 2
% 103.20/26.11 Id : 1361, {_}: multiply ?3613 (multiply (inverse ?3614) ?3614) =>= ?3613 [3614, 3613] by Super 179 with 1337 at 1,2
% 103.20/26.11 Id : 1497, {_}: double_divide ?3885 (multiply (multiply (multiply (multiply ?3886 (multiply (inverse ?3887) (double_divide ?3885 ?3886))) (multiply (inverse ?3888) ?3887)) (multiply (inverse (multiply (inverse ?3889) ?3889)) ?3888)) (inverse ?3890)) =>= ?3890 [3890, 3889, 3888, 3887, 3886, 3885] by Super 23 with 1361 at 2,2,2
% 103.20/26.11 Id : 340, {_}: double_divide ?1204 (multiply ?1205 (inverse ?1206)) =>= multiply (double_divide ?1204 ?1205) ?1206 [1206, 1205, 1204] by Super 9 with 218 at 2,2,2
% 103.20/26.11 Id : 1523, {_}: multiply (double_divide ?3885 (multiply (multiply (multiply ?3886 (multiply (inverse ?3887) (double_divide ?3885 ?3886))) (multiply (inverse ?3888) ?3887)) (multiply (inverse (multiply (inverse ?3889) ?3889)) ?3888))) ?3890 =>= ?3890 [3890, 3889, 3888, 3887, 3886, 3885] by Demod 1497 with 340 at 2
% 103.20/26.11 Id : 19, {_}: double_divide ?45 (multiply (multiply (multiply ?46 (multiply (inverse ?47) (double_divide ?45 ?46))) (multiply (inverse ?48) ?47)) (multiply (inverse ?49) ?48)) =>= ?49 [49, 48, 47, 46, 45] by Super 9 with 17 at 2,2,2,2
% 103.20/26.11 Id : 1524, {_}: multiply (multiply (inverse ?3889) ?3889) ?3890 =>= ?3890 [3890, 3889] by Demod 1523 with 19 at 1,2
% 103.20/26.11 Id : 1584, {_}: double_divide (multiply (inverse ?4066) ?4066) (inverse ?4067) =>= ?4067 [4067, 4066] by Super 303 with 1524 at 2
% 103.20/26.11 Id : 1610, {_}: multiply ?4067 (double_divide ?4066 (inverse ?4066)) =>= ?4067 [4066, 4067] by Demod 1584 with 215 at 2
% 103.20/26.11 Id : 1654, {_}: double_divide ?4272 (multiply (multiply (inverse ?4272) (inverse ?4273)) (multiply (inverse ?4274) ?4273)) =>= ?4274 [4274, 4273, 4272] by Super 17 with 1610 at 2,1,2,2
% 103.20/26.11 Id : 341, {_}: multiply (multiply ?1208 (inverse ?1209)) ?1210 =>= inverse (multiply (double_divide ?1210 ?1208) ?1209) [1210, 1209, 1208] by Super 12 with 218 at 2,1,2
% 103.20/26.11 Id : 1724, {_}: double_divide ?4272 (inverse (multiply (double_divide (multiply (inverse ?4274) ?4273) (inverse ?4272)) ?4273)) =>= ?4274 [4273, 4274, 4272] by Demod 1654 with 341 at 2,2
% 103.20/26.11 Id : 614, {_}: double_divide ?2032 (multiply ?2033 (inverse ?2034)) =>= multiply (double_divide ?2032 ?2033) ?2034 [2034, 2033, 2032] by Super 9 with 218 at 2,2,2
% 103.20/26.11 Id : 620, {_}: double_divide ?2061 (inverse (multiply ?2062 ?2063)) =>= multiply (double_divide ?2061 (inverse ?2062)) ?2063 [2063, 2062, 2061] by Super 614 with 208 at 2,2
% 103.20/26.11 Id : 1725, {_}: multiply (double_divide ?4272 (inverse (double_divide (multiply (inverse ?4274) ?4273) (inverse ?4272)))) ?4273 =>= ?4274 [4273, 4274, 4272] by Demod 1724 with 620 at 2
% 103.20/26.11 Id : 1726, {_}: multiply (double_divide ?4272 (multiply (inverse ?4272) (multiply (inverse ?4274) ?4273))) ?4273 =>= ?4274 [4273, 4274, 4272] by Demod 1725 with 3 at 2,1,2
% 103.20/26.11 Id : 226, {_}: multiply (inverse ?770) (multiply ?771 ?772) =>= inverse (multiply ?770 (double_divide ?772 ?771)) [772, 771, 770] by Super 225 with 3 at 2,2
% 103.20/26.11 Id : 1727, {_}: multiply (double_divide ?4272 (inverse (multiply ?4272 (double_divide ?4273 (inverse ?4274))))) ?4273 =>= ?4274 [4274, 4273, 4272] by Demod 1726 with 226 at 2,1,2
% 103.20/26.11 Id : 1728, {_}: multiply (multiply (double_divide ?4272 (inverse ?4272)) (double_divide ?4273 (inverse ?4274))) ?4273 =>= ?4274 [4274, 4273, 4272] by Demod 1727 with 620 at 1,2
% 103.20/26.11 Id : 10, {_}: double_divide ?25 (multiply ?26 (multiply (multiply ?27 ?28) (double_divide ?25 ?26))) =>= double_divide ?28 ?27 [28, 27, 26, 25] by Super 9 with 3 at 1,2,2,2
% 103.20/26.11 Id : 343, {_}: double_divide ?1215 (multiply ?1216 (multiply (inverse ?1217) (double_divide ?1215 ?1216))) =?= double_divide ?1218 (inverse (multiply ?1218 ?1217)) [1218, 1217, 1216, 1215] by Super 10 with 218 at 1,2,2,2
% 103.20/26.11 Id : 364, {_}: ?1217 =<= double_divide ?1218 (inverse (multiply ?1218 ?1217)) [1218, 1217] by Demod 343 with 9 at 2
% 103.20/26.11 Id : 788, {_}: ?1217 =<= multiply (double_divide ?1218 (inverse ?1218)) ?1217 [1218, 1217] by Demod 364 with 620 at 3
% 103.20/26.11 Id : 1729, {_}: multiply (double_divide ?4273 (inverse ?4274)) ?4273 =>= ?4274 [4274, 4273] by Demod 1728 with 788 at 1,2
% 103.20/26.11 Id : 1852, {_}: multiply (inverse (multiply ?4660 ?4661)) ?4661 =>= inverse ?4660 [4661, 4660] by Super 678 with 1729 at 1,3
% 103.20/26.11 Id : 1857, {_}: multiply (inverse (inverse ?4678)) ?4679 =>= inverse (inverse (multiply ?4679 ?4678)) [4679, 4678] by Super 1852 with 218 at 1,1,2
% 103.20/26.11 Id : 1782, {_}: multiply (inverse (multiply ?4398 ?4399)) ?4399 =>= inverse ?4398 [4399, 4398] by Super 678 with 1729 at 1,3
% 103.20/26.11 Id : 1851, {_}: inverse (inverse ?4658) =>= ?4658 [4658] by Super 1337 with 1782 at 2
% 103.20/26.11 Id : 2981, {_}: multiply ?4678 ?4679 =<= inverse (inverse (multiply ?4679 ?4678)) [4679, 4678] by Demod 1857 with 1851 at 1,2
% 103.20/26.11 Id : 2982, {_}: multiply ?4678 ?4679 =?= multiply ?4679 ?4678 [4679, 4678] by Demod 2981 with 1851 at 3
% 103.20/26.11 Id : 3167, {_}: double_divide ?6990 (multiply ?6991 ?6992) =<= multiply (double_divide ?6990 ?6991) (inverse ?6992) [6992, 6991, 6990] by Super 340 with 1851 at 2,2,2
% 103.20/26.11 Id : 1855, {_}: multiply (inverse ?4672) ?4673 =<= inverse (multiply (inverse ?4673) ?4672) [4673, 4672] by Super 1852 with 179 at 1,1,2
% 103.20/26.11 Id : 2017, {_}: inverse (inverse ?4892) =>= ?4892 [4892] by Super 1337 with 1782 at 2
% 103.20/26.11 Id : 2020, {_}: inverse (multiply ?4899 ?4900) =>= double_divide ?4900 ?4899 [4900, 4899] by Super 2017 with 3 at 1,2
% 103.20/26.11 Id : 2746, {_}: multiply (inverse ?4672) ?4673 =<= double_divide ?4672 (inverse ?4673) [4673, 4672] by Demod 1855 with 2020 at 3
% 103.20/26.11 Id : 1995, {_}: double_divide ?4799 (inverse ?4800) =>= multiply ?4800 (inverse ?4799) [4800, 4799] by Super 203 with 1851 at 1,2
% 103.20/26.11 Id : 2747, {_}: multiply (inverse ?4672) ?4673 =?= multiply ?4673 (inverse ?4672) [4673, 4672] by Demod 2746 with 1995 at 3
% 103.20/26.11 Id : 2748, {_}: multiply (multiply ?3889 (inverse ?3889)) ?3890 =>= ?3890 [3890, 3889] by Demod 1524 with 2747 at 1,2
% 103.20/26.11 Id : 2663, {_}: multiply (multiply ?1208 (inverse ?1209)) ?1210 =>= double_divide ?1209 (double_divide ?1210 ?1208) [1210, 1209, 1208] by Demod 341 with 2020 at 3
% 103.20/26.11 Id : 2751, {_}: double_divide ?3889 (double_divide ?3890 ?3889) =>= ?3890 [3890, 3889] by Demod 2748 with 2663 at 2
% 103.20/26.11 Id : 3183, {_}: double_divide ?7077 (multiply (double_divide ?7078 ?7077) ?7079) =>= multiply ?7078 (inverse ?7079) [7079, 7078, 7077] by Super 3167 with 2751 at 1,3
% 103.20/26.11 Id : 2013, {_}: double_divide ?4879 (multiply ?4880 ?4881) =<= multiply (double_divide ?4879 ?4880) (inverse ?4881) [4881, 4880, 4879] by Super 340 with 1851 at 2,2,2
% 103.20/26.11 Id : 2666, {_}: multiply (inverse ?704) (inverse ?705) =>= double_divide ?705 ?704 [705, 704] by Demod 208 with 2020 at 3
% 103.20/26.11 Id : 2698, {_}: multiply (inverse ?5961) (double_divide ?5962 ?5963) =>= double_divide (multiply ?5963 ?5962) ?5961 [5963, 5962, 5961] by Super 2666 with 2020 at 2,2
% 103.20/26.11 Id : 3261, {_}: multiply (double_divide ?7216 ?7217) (inverse ?7218) =>= double_divide (multiply ?7217 ?7216) ?7218 [7218, 7217, 7216] by Super 2982 with 2698 at 3
% 103.20/26.11 Id : 3307, {_}: double_divide ?7216 (multiply ?7217 ?7218) =<= double_divide (multiply ?7217 ?7216) ?7218 [7218, 7217, 7216] by Demod 3261 with 2013 at 2
% 103.20/26.11 Id : 3427, {_}: double_divide (multiply ?7473 ?7474) (multiply ?7475 ?7476) =<= multiply (double_divide ?7474 (multiply ?7473 ?7475)) (inverse ?7476) [7476, 7475, 7474, 7473] by Super 2013 with 3307 at 1,3
% 103.20/26.11 Id : 3503, {_}: double_divide ?7474 (multiply ?7473 (multiply ?7475 ?7476)) =<= multiply (double_divide ?7474 (multiply ?7473 ?7475)) (inverse ?7476) [7476, 7475, 7473, 7474] by Demod 3427 with 3307 at 2
% 103.20/26.11 Id : 3504, {_}: double_divide ?7474 (multiply ?7473 (multiply ?7475 ?7476)) =<= double_divide ?7474 (multiply (multiply ?7473 ?7475) ?7476) [7476, 7475, 7473, 7474] by Demod 3503 with 2013 at 3
% 103.20/26.11 Id : 245, {_}: double_divide (inverse ?833) (multiply ?834 ?835) =>= multiply (double_divide ?835 ?834) ?833 [835, 834, 833] by Super 213 with 3 at 2,2
% 103.20/26.11 Id : 251, {_}: double_divide (multiply ?860 ?861) (multiply ?862 ?863) =>= multiply (double_divide ?863 ?862) (double_divide ?861 ?860) [863, 862, 861, 860] by Super 245 with 3 at 1,2
% 103.20/26.11 Id : 3372, {_}: double_divide ?861 (multiply ?860 (multiply ?862 ?863)) =>= multiply (double_divide ?863 ?862) (double_divide ?861 ?860) [863, 862, 860, 861] by Demod 251 with 3307 at 2
% 103.20/26.11 Id : 3505, {_}: multiply (double_divide ?7476 ?7475) (double_divide ?7474 ?7473) =<= double_divide ?7474 (multiply (multiply ?7473 ?7475) ?7476) [7473, 7474, 7475, 7476] by Demod 3504 with 3372 at 2
% 103.20/26.11 Id : 3422, {_}: multiply ?7452 (multiply ?7453 ?7454) =<= inverse (double_divide ?7454 (multiply ?7453 ?7452)) [7454, 7453, 7452] by Super 3 with 3307 at 1,3
% 103.20/26.11 Id : 3509, {_}: multiply ?7452 (multiply ?7453 ?7454) =<= multiply (multiply ?7453 ?7452) ?7454 [7454, 7453, 7452] by Demod 3422 with 3 at 3
% 103.20/26.11 Id : 6678, {_}: multiply (double_divide ?7476 ?7475) (double_divide ?7474 ?7473) =<= double_divide ?7474 (multiply ?7475 (multiply ?7473 ?7476)) [7473, 7474, 7475, 7476] by Demod 3505 with 3509 at 2,3
% 103.20/26.11 Id : 6679, {_}: multiply (double_divide ?7476 ?7475) (double_divide ?7474 ?7473) =?= multiply (double_divide ?7476 ?7473) (double_divide ?7474 ?7475) [7473, 7474, 7475, 7476] by Demod 6678 with 3372 at 3
% 103.20/26.11 Id : 6722, {_}: double_divide ?12275 (multiply (double_divide ?12276 ?12277) (double_divide ?12278 ?12275)) =>= multiply ?12276 (inverse (double_divide ?12278 ?12277)) [12278, 12277, 12276, 12275] by Super 3183 with 6679 at 2,2
% 103.20/26.11 Id : 2695, {_}: double_divide ?5945 (multiply ?5946 (double_divide ?5947 ?5948)) =>= multiply (double_divide ?5945 ?5946) (multiply ?5948 ?5947) [5948, 5947, 5946, 5945] by Super 340 with 2020 at 2,2,2
% 103.20/26.11 Id : 6808, {_}: multiply (double_divide ?12275 (double_divide ?12276 ?12277)) (multiply ?12275 ?12278) =>= multiply ?12276 (inverse (double_divide ?12278 ?12277)) [12278, 12277, 12276, 12275] by Demod 6722 with 2695 at 2
% 103.20/26.11 Id : 6809, {_}: multiply (double_divide ?12275 (double_divide ?12276 ?12277)) (multiply ?12275 ?12278) =>= multiply ?12276 (multiply ?12277 ?12278) [12278, 12277, 12276, 12275] by Demod 6808 with 3 at 2,3
% 103.20/26.11 Id : 3058, {_}: double_divide ?6750 (multiply (inverse ?6751) ?6752) =>= multiply (double_divide ?6750 ?6752) ?6751 [6752, 6751, 6750] by Super 340 with 2982 at 2,2
% 103.20/26.11 Id : 1994, {_}: double_divide (inverse ?4796) ?4797 =>= multiply (inverse ?4797) ?4796 [4797, 4796] by Super 203 with 1851 at 2,2
% 103.20/26.11 Id : 4382, {_}: multiply (double_divide (inverse ?8672) ?8673) ?8674 =<= multiply (inverse (multiply (inverse ?8674) ?8673)) ?8672 [8674, 8673, 8672] by Super 1994 with 3058 at 2
% 103.20/26.11 Id : 4462, {_}: multiply (multiply (inverse ?8673) ?8672) ?8674 =<= multiply (inverse (multiply (inverse ?8674) ?8673)) ?8672 [8674, 8672, 8673] by Demod 4382 with 1994 at 1,2
% 103.20/26.11 Id : 4463, {_}: multiply (multiply (inverse ?8673) ?8672) ?8674 =?= multiply (double_divide ?8673 (inverse ?8674)) ?8672 [8674, 8672, 8673] by Demod 4462 with 2020 at 1,3
% 103.20/26.11 Id : 4464, {_}: multiply ?8672 (multiply (inverse ?8673) ?8674) =?= multiply (double_divide ?8673 (inverse ?8674)) ?8672 [8674, 8673, 8672] by Demod 4463 with 3509 at 2
% 103.20/26.11 Id : 4465, {_}: multiply ?8672 (multiply (inverse ?8673) ?8674) =?= multiply (multiply ?8674 (inverse ?8673)) ?8672 [8674, 8673, 8672] by Demod 4464 with 1995 at 1,3
% 103.20/26.11 Id : 4466, {_}: multiply ?8672 (multiply (inverse ?8673) ?8674) =?= multiply (inverse ?8673) (multiply ?8674 ?8672) [8674, 8673, 8672] by Demod 4465 with 3509 at 3
% 103.20/26.11 Id : 2667, {_}: multiply (inverse ?770) (multiply ?771 ?772) =>= double_divide (double_divide ?772 ?771) ?770 [772, 771, 770] by Demod 226 with 2020 at 3
% 103.20/26.11 Id : 4467, {_}: multiply ?8672 (multiply (inverse ?8673) ?8674) =>= double_divide (double_divide ?8672 ?8674) ?8673 [8674, 8673, 8672] by Demod 4466 with 2667 at 3
% 103.20/26.11 Id : 4665, {_}: double_divide ?8856 (double_divide (double_divide (inverse ?8857) ?8858) ?8859) =>= multiply (double_divide ?8856 (multiply (inverse ?8859) ?8858)) ?8857 [8859, 8858, 8857, 8856] by Super 3058 with 4467 at 2,2
% 103.20/26.11 Id : 4760, {_}: double_divide ?8856 (double_divide (multiply (inverse ?8858) ?8857) ?8859) =>= multiply (double_divide ?8856 (multiply (inverse ?8859) ?8858)) ?8857 [8859, 8857, 8858, 8856] by Demod 4665 with 1994 at 1,2,2
% 103.20/26.11 Id : 4761, {_}: double_divide ?8856 (double_divide (multiply (inverse ?8858) ?8857) ?8859) =>= multiply (multiply (double_divide ?8856 ?8858) ?8859) ?8857 [8859, 8857, 8858, 8856] by Demod 4760 with 3058 at 1,3
% 103.20/26.11 Id : 4762, {_}: double_divide ?8856 (double_divide ?8857 (multiply (inverse ?8858) ?8859)) =>= multiply (multiply (double_divide ?8856 ?8858) ?8859) ?8857 [8859, 8858, 8857, 8856] by Demod 4761 with 3307 at 2,2
% 103.20/26.11 Id : 4763, {_}: double_divide ?8856 (double_divide ?8857 (multiply (inverse ?8858) ?8859)) =>= multiply ?8859 (multiply (double_divide ?8856 ?8858) ?8857) [8859, 8858, 8857, 8856] by Demod 4762 with 3509 at 3
% 103.20/26.11 Id : 4764, {_}: double_divide ?8856 (multiply (double_divide ?8857 ?8859) ?8858) =>= multiply ?8859 (multiply (double_divide ?8856 ?8858) ?8857) [8858, 8859, 8857, 8856] by Demod 4763 with 3058 at 2,2
% 103.20/26.11 Id : 4394, {_}: double_divide ?8727 (multiply (inverse ?8728) ?8729) =>= multiply (double_divide ?8727 ?8729) ?8728 [8729, 8728, 8727] by Super 340 with 2982 at 2,2
% 103.20/26.11 Id : 4396, {_}: double_divide ?8735 (multiply (double_divide ?8736 ?8737) ?8738) =>= multiply (double_divide ?8735 ?8738) (multiply ?8737 ?8736) [8738, 8737, 8736, 8735] by Super 4394 with 2020 at 1,2,2
% 103.20/26.11 Id : 22566, {_}: multiply (double_divide ?8856 ?8858) (multiply ?8859 ?8857) =?= multiply ?8859 (multiply (double_divide ?8856 ?8858) ?8857) [8857, 8859, 8858, 8856] by Demod 4764 with 4396 at 2
% 103.20/26.11 Id : 101478, {_}: multiply ?12275 (multiply (double_divide ?12275 (double_divide ?12276 ?12277)) ?12278) =>= multiply ?12276 (multiply ?12277 ?12278) [12278, 12277, 12276, 12275] by Demod 6809 with 22566 at 2
% 103.20/26.11 Id : 214, {_}: double_divide (inverse ?728) (multiply ?729 ?730) =>= multiply (double_divide ?730 ?729) ?728 [730, 729, 728] by Super 213 with 3 at 2,2
% 103.20/26.11 Id : 2283, {_}: multiply (inverse (multiply ?729 ?730)) ?728 =>= multiply (double_divide ?730 ?729) ?728 [728, 730, 729] by Demod 214 with 1994 at 2
% 103.20/26.11 Id : 2287, {_}: multiply (double_divide ?4399 ?4398) ?4399 =>= inverse ?4398 [4398, 4399] by Demod 1782 with 2283 at 2
% 103.20/26.11 Id : 2987, {_}: multiply ?4399 (double_divide ?4399 ?4398) =>= inverse ?4398 [4398, 4399] by Demod 2287 with 2982 at 2
% 103.20/26.11 Id : 4383, {_}: multiply ?8676 (multiply (double_divide ?8676 ?8677) ?8678) =>= inverse (multiply (inverse ?8678) ?8677) [8678, 8677, 8676] by Super 2987 with 3058 at 2,2
% 103.20/26.11 Id : 4460, {_}: multiply ?8676 (multiply (double_divide ?8676 ?8677) ?8678) =>= double_divide ?8677 (inverse ?8678) [8678, 8677, 8676] by Demod 4383 with 2020 at 3
% 103.20/26.11 Id : 4461, {_}: multiply ?8676 (multiply (double_divide ?8676 ?8677) ?8678) =>= multiply ?8678 (inverse ?8677) [8678, 8677, 8676] by Demod 4460 with 1995 at 3
% 103.20/26.11 Id : 101479, {_}: multiply ?12278 (inverse (double_divide ?12276 ?12277)) =>= multiply ?12276 (multiply ?12277 ?12278) [12277, 12276, 12278] by Demod 101478 with 4461 at 2
% 103.20/26.11 Id : 101480, {_}: multiply ?12278 (multiply ?12277 ?12276) =?= multiply ?12276 (multiply ?12277 ?12278) [12276, 12277, 12278] by Demod 101479 with 3 at 2,2
% 103.20/26.11 Id : 3438, {_}: double_divide ?7536 (multiply ?7537 ?7538) =<= double_divide (multiply ?7537 ?7536) ?7538 [7538, 7537, 7536] by Demod 3261 with 2013 at 2
% 103.20/26.11 Id : 2286, {_}: multiply (double_divide ?740 ?739) ?739 =>= inverse ?740 [739, 740] by Demod 218 with 2283 at 2
% 103.20/26.11 Id : 2983, {_}: multiply ?739 (double_divide ?740 ?739) =>= inverse ?740 [740, 739] by Demod 2286 with 2982 at 2
% 103.20/26.11 Id : 3446, {_}: double_divide (double_divide ?7571 ?7572) (multiply ?7572 ?7573) =>= double_divide (inverse ?7571) ?7573 [7573, 7572, 7571] by Super 3438 with 2983 at 1,3
% 103.20/26.11 Id : 3545, {_}: double_divide (double_divide ?7571 ?7572) (multiply ?7572 ?7573) =>= multiply (inverse ?7573) ?7571 [7573, 7572, 7571] by Demod 3446 with 1994 at 3
% 103.20/26.11 Id : 2672, {_}: multiply (double_divide ?5813 ?5814) (multiply ?5815 ?5816) =<= double_divide (double_divide ?5816 ?5815) (multiply ?5814 ?5813) [5816, 5815, 5814, 5813] by Super 2667 with 2020 at 1,2
% 103.20/26.11 Id : 7659, {_}: multiply (double_divide ?13680 ?13681) (multiply ?13681 ?13682) =>= multiply (inverse ?13680) ?13682 [13682, 13681, 13680] by Demod 3545 with 2672 at 2
% 103.20/26.11 Id : 4381, {_}: multiply (multiply (inverse ?8668) ?8669) ?8670 =>= inverse (multiply (double_divide ?8670 ?8669) ?8668) [8670, 8669, 8668] by Super 3 with 3058 at 1,3
% 103.20/26.11 Id : 4468, {_}: multiply ?8669 (multiply (inverse ?8668) ?8670) =>= inverse (multiply (double_divide ?8670 ?8669) ?8668) [8670, 8668, 8669] by Demod 4381 with 3509 at 2
% 103.20/26.11 Id : 4469, {_}: multiply ?8669 (multiply (inverse ?8668) ?8670) =>= double_divide ?8668 (double_divide ?8670 ?8669) [8670, 8668, 8669] by Demod 4468 with 2020 at 3
% 103.20/26.11 Id : 4849, {_}: double_divide (double_divide ?8669 ?8670) ?8668 =?= double_divide ?8668 (double_divide ?8670 ?8669) [8668, 8670, 8669] by Demod 4469 with 4467 at 2
% 103.20/26.11 Id : 7694, {_}: multiply (double_divide ?13854 (double_divide ?13855 ?13856)) (multiply ?13854 ?13857) =>= multiply (inverse (double_divide ?13856 ?13855)) ?13857 [13857, 13856, 13855, 13854] by Super 7659 with 4849 at 1,2
% 103.20/26.11 Id : 7941, {_}: multiply (double_divide ?13854 (double_divide ?13855 ?13856)) (multiply ?13854 ?13857) =>= multiply (multiply ?13855 ?13856) ?13857 [13857, 13856, 13855, 13854] by Demod 7694 with 3 at 1,3
% 103.20/26.11 Id : 7942, {_}: multiply (double_divide ?13854 (double_divide ?13855 ?13856)) (multiply ?13854 ?13857) =>= multiply ?13856 (multiply ?13855 ?13857) [13857, 13856, 13855, 13854] by Demod 7941 with 3509 at 3
% 103.20/26.11 Id : 112572, {_}: multiply ?13854 (multiply (double_divide ?13854 (double_divide ?13855 ?13856)) ?13857) =>= multiply ?13856 (multiply ?13855 ?13857) [13857, 13856, 13855, 13854] by Demod 7942 with 22566 at 2
% 103.20/26.11 Id : 112573, {_}: multiply ?13857 (inverse (double_divide ?13855 ?13856)) =>= multiply ?13856 (multiply ?13855 ?13857) [13856, 13855, 13857] by Demod 112572 with 4461 at 2
% 103.20/26.11 Id : 112574, {_}: multiply ?13857 (multiply ?13856 ?13855) =?= multiply ?13856 (multiply ?13855 ?13857) [13855, 13856, 13857] by Demod 112573 with 3 at 2,2
% 103.20/26.11 Id : 114353, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 114352 with 2982 at 2,2
% 103.20/26.11 Id : 114352, {_}: multiply a3 (multiply c3 b3) =?= multiply a3 (multiply b3 c3) [] by Demod 114351 with 112574 at 2
% 103.20/26.11 Id : 114351, {_}: multiply b3 (multiply a3 c3) =>= multiply a3 (multiply b3 c3) [] by Demod 114350 with 101480 at 2
% 103.20/26.11 Id : 114350, {_}: multiply c3 (multiply a3 b3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 2982 at 2
% 103.20/26.11 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 103.20/26.11 % SZS output end CNFRefutation for theBenchmark.p
% 103.20/26.11 23923: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 25.786483 using kbo
%------------------------------------------------------------------------------