TSTP Solution File: GRP184-2 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP184-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n015.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 10:29:29 EDT 2022
% Result : Unsatisfiable 191.48s 48.18s
% Output : CNFRefutation 191.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GRP184-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.09/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 09:16:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 8197: Facts:
% 0.13/0.33 8197: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.33 8197: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.33 8197: Id : 4, {_}:
% 0.13/0.33 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.13/0.33 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.13/0.33 8197: Id : 5, {_}:
% 0.13/0.33 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.13/0.33 [11, 10] by symmetry_of_glb ?10 ?11
% 0.13/0.33 8197: Id : 6, {_}:
% 0.13/0.33 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.13/0.33 [14, 13] by symmetry_of_lub ?13 ?14
% 0.13/0.33 8197: Id : 7, {_}:
% 0.13/0.33 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.13/0.33 =?=
% 0.13/0.33 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.13/0.33 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.13/0.33 8197: Id : 8, {_}:
% 0.13/0.33 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.13/0.33 =?=
% 0.13/0.33 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.13/0.33 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.13/0.33 8197: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.13/0.33 8197: Id : 10, {_}:
% 0.13/0.33 greatest_lower_bound ?26 ?26 =>= ?26
% 0.13/0.33 [26] by idempotence_of_gld ?26
% 0.13/0.33 8197: Id : 11, {_}:
% 0.13/0.33 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.13/0.33 [29, 28] by lub_absorbtion ?28 ?29
% 0.13/0.34 8197: Id : 12, {_}:
% 0.13/0.34 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.13/0.34 [32, 31] by glb_absorbtion ?31 ?32
% 0.13/0.34 8197: Id : 13, {_}:
% 0.13/0.34 multiply ?34 (least_upper_bound ?35 ?36)
% 0.13/0.34 =<=
% 0.13/0.34 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.13/0.34 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.13/0.34 8197: Id : 14, {_}:
% 0.13/0.34 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.13/0.34 =<=
% 0.13/0.34 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.13/0.34 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.13/0.34 8197: Id : 15, {_}:
% 0.13/0.34 multiply (least_upper_bound ?42 ?43) ?44
% 0.13/0.34 =<=
% 0.13/0.34 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.13/0.34 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.13/0.34 8197: Id : 16, {_}:
% 0.13/0.34 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.13/0.34 =<=
% 0.13/0.34 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.13/0.34 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.13/0.34 8197: Id : 17, {_}: inverse identity =>= identity [] by p21_1
% 0.13/0.34 8197: Id : 18, {_}: inverse (inverse ?51) =>= ?51 [51] by p21_2 ?51
% 0.13/0.34 8197: Id : 19, {_}:
% 0.13/0.34 inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
% 0.13/0.34 [54, 53] by p21_3 ?53 ?54
% 0.13/0.34 8197: Goal:
% 0.13/0.34 8197: Id : 1, {_}:
% 0.13/0.34 multiply (least_upper_bound a identity)
% 0.13/0.34 (inverse (greatest_lower_bound a identity))
% 0.13/0.34 =>=
% 0.13/0.34 multiply (inverse (greatest_lower_bound a identity))
% 0.13/0.34 (least_upper_bound a identity)
% 0.13/0.34 [] by prove_p21
% 191.48/48.18 Statistics :
% 191.48/48.18 Max weight : 25
% 191.48/48.18 Found proof, 47.848075s
% 191.48/48.18 % SZS status Unsatisfiable for theBenchmark.p
% 191.48/48.18 % SZS output start CNFRefutation for theBenchmark.p
% 191.48/48.18 Id : 249, {_}: multiply (greatest_lower_bound ?729 ?730) ?731 =<= greatest_lower_bound (multiply ?729 ?731) (multiply ?730 ?731) [731, 730, 729] by monotony_glb2 ?729 ?730 ?731
% 191.48/48.18 Id : 15, {_}: multiply (least_upper_bound ?42 ?43) ?44 =<= least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44) [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 191.48/48.18 Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 191.48/48.18 Id : 184, {_}: multiply ?578 (greatest_lower_bound ?579 ?580) =<= greatest_lower_bound (multiply ?578 ?579) (multiply ?578 ?580) [580, 579, 578] by monotony_glb1 ?578 ?579 ?580
% 191.48/48.18 Id : 117, {_}: least_upper_bound ?399 (greatest_lower_bound ?399 ?400) =>= ?399 [400, 399] by lub_absorbtion ?399 ?400
% 191.48/48.18 Id : 135, {_}: greatest_lower_bound ?454 (least_upper_bound ?454 ?455) =>= ?454 [455, 454] by glb_absorbtion ?454 ?455
% 191.48/48.18 Id : 13, {_}: multiply ?34 (least_upper_bound ?35 ?36) =<= least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36) [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 191.48/48.18 Id : 10, {_}: greatest_lower_bound ?26 ?26 =>= ?26 [26] by idempotence_of_gld ?26
% 191.48/48.18 Id : 7, {_}: greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18) =?= greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 191.48/48.18 Id : 16, {_}: multiply (greatest_lower_bound ?46 ?47) ?48 =<= greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48) [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 191.48/48.18 Id : 14, {_}: multiply ?38 (greatest_lower_bound ?39 ?40) =<= greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40) [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 191.48/48.18 Id : 217, {_}: multiply (least_upper_bound ?652 ?653) ?654 =<= least_upper_bound (multiply ?652 ?654) (multiply ?653 ?654) [654, 653, 652] by monotony_lub2 ?652 ?653 ?654
% 191.48/48.18 Id : 24, {_}: multiply (multiply ?63 ?64) ?65 =?= multiply ?63 (multiply ?64 ?65) [65, 64, 63] by associativity ?63 ?64 ?65
% 191.48/48.18 Id : 18, {_}: inverse (inverse ?51) =>= ?51 [51] by p21_2 ?51
% 191.48/48.18 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 191.48/48.18 Id : 17, {_}: inverse identity =>= identity [] by p21_1
% 191.48/48.18 Id : 298, {_}: inverse (multiply ?837 ?838) =<= multiply (inverse ?838) (inverse ?837) [838, 837] by p21_3 ?837 ?838
% 191.48/48.18 Id : 8, {_}: least_upper_bound ?20 (least_upper_bound ?21 ?22) =?= least_upper_bound (least_upper_bound ?20 ?21) ?22 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 191.48/48.18 Id : 12, {_}: greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31 [32, 31] by glb_absorbtion ?31 ?32
% 191.48/48.18 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 191.48/48.18 Id : 11, {_}: least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28 [29, 28] by lub_absorbtion ?28 ?29
% 191.48/48.18 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 191.48/48.18 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 191.48/48.18 Id : 154, {_}: multiply ?507 (least_upper_bound ?508 ?509) =<= least_upper_bound (multiply ?507 ?508) (multiply ?507 ?509) [509, 508, 507] by monotony_lub1 ?507 ?508 ?509
% 191.48/48.18 Id : 19, {_}: inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53) [54, 53] by p21_3 ?53 ?54
% 191.48/48.18 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 191.48/48.18 Id : 292, {_}: multiply (multiply ?813 (inverse ?814)) (inverse ?815) =>= multiply ?813 (inverse (multiply ?815 ?814)) [815, 814, 813] by Super 4 with 19 at 2,3
% 191.48/48.18 Id : 1244, {_}: multiply (inverse ?2437) (least_upper_bound ?2437 ?2438) =>= least_upper_bound identity (multiply (inverse ?2437) ?2438) [2438, 2437] by Super 154 with 3 at 1,3
% 191.48/48.18 Id : 111, {_}: least_upper_bound (greatest_lower_bound ?377 ?378) ?377 =>= ?377 [378, 377] by Super 6 with 11 at 3
% 191.48/48.18 Id : 1250, {_}: multiply (inverse (greatest_lower_bound ?2455 ?2456)) ?2455 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?2455 ?2456)) ?2455) [2456, 2455] by Super 1244 with 111 at 2,2
% 191.48/48.18 Id : 623, {_}: greatest_lower_bound (least_upper_bound ?1385 ?1386) ?1385 =>= ?1385 [1386, 1385] by Super 5 with 12 at 3
% 191.48/48.18 Id : 624, {_}: greatest_lower_bound (least_upper_bound ?1388 ?1389) ?1389 =>= ?1389 [1389, 1388] by Super 623 with 6 at 1,2
% 191.48/48.18 Id : 9556, {_}: multiply (inverse (greatest_lower_bound ?18643 ?18644)) ?18643 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?18643 ?18644)) ?18643) [18644, 18643] by Super 1244 with 111 at 2,2
% 191.48/48.18 Id : 299, {_}: inverse (multiply identity ?840) =<= multiply (inverse ?840) identity [840] by Super 298 with 17 at 2,3
% 191.48/48.18 Id : 322, {_}: inverse ?886 =<= multiply (inverse ?886) identity [886] by Demod 299 with 2 at 1,2
% 191.48/48.18 Id : 324, {_}: inverse (inverse ?889) =<= multiply ?889 identity [889] by Super 322 with 18 at 1,3
% 191.48/48.18 Id : 334, {_}: ?889 =<= multiply ?889 identity [889] by Demod 324 with 18 at 2
% 191.48/48.18 Id : 9589, {_}: multiply (inverse (greatest_lower_bound identity ?18760)) identity =>= least_upper_bound identity (inverse (greatest_lower_bound identity ?18760)) [18760] by Super 9556 with 334 at 2,3
% 191.48/48.18 Id : 9778, {_}: inverse (greatest_lower_bound identity ?18867) =<= least_upper_bound identity (inverse (greatest_lower_bound identity ?18867)) [18867] by Demod 9589 with 334 at 2
% 191.48/48.18 Id : 9779, {_}: inverse (greatest_lower_bound identity ?18869) =<= least_upper_bound identity (inverse (greatest_lower_bound ?18869 identity)) [18869] by Super 9778 with 5 at 1,2,3
% 191.48/48.18 Id : 12499, {_}: least_upper_bound identity (least_upper_bound (inverse (greatest_lower_bound ?21757 identity)) ?21758) =>= least_upper_bound (inverse (greatest_lower_bound identity ?21757)) ?21758 [21758, 21757] by Super 8 with 9779 at 1,3
% 191.48/48.18 Id : 12512, {_}: least_upper_bound identity (least_upper_bound ?21800 (inverse (greatest_lower_bound ?21801 identity))) =>= least_upper_bound (inverse (greatest_lower_bound identity ?21801)) ?21800 [21801, 21800] by Super 12499 with 6 at 2,2
% 191.48/48.18 Id : 26, {_}: multiply (multiply ?70 (inverse ?71)) ?71 =>= multiply ?70 identity [71, 70] by Super 24 with 3 at 2,3
% 191.48/48.18 Id : 1186, {_}: multiply (multiply ?70 (inverse ?71)) ?71 =>= ?70 [71, 70] by Demod 26 with 334 at 3
% 191.48/48.18 Id : 223, {_}: multiply (least_upper_bound (inverse ?675) ?676) ?675 =>= least_upper_bound identity (multiply ?676 ?675) [676, 675] by Super 217 with 3 at 1,3
% 191.48/48.18 Id : 1508, {_}: multiply (least_upper_bound identity (multiply ?2891 (inverse ?2892))) ?2892 =>= least_upper_bound (inverse (inverse ?2892)) ?2891 [2892, 2891] by Super 1186 with 223 at 1,2
% 191.48/48.18 Id : 63166, {_}: multiply (least_upper_bound identity (multiply ?77116 (inverse ?77117))) ?77117 =>= least_upper_bound ?77117 ?77116 [77117, 77116] by Demod 1508 with 18 at 1,3
% 191.48/48.18 Id : 63209, {_}: multiply (multiply (inverse (greatest_lower_bound (inverse ?77251) ?77252)) (inverse ?77251)) ?77251 =>= least_upper_bound ?77251 (inverse (greatest_lower_bound (inverse ?77251) ?77252)) [77252, 77251] by Super 63166 with 1250 at 1,2
% 191.48/48.18 Id : 63308, {_}: multiply (inverse (greatest_lower_bound (inverse ?77251) ?77252)) (multiply (inverse ?77251) ?77251) =>= least_upper_bound ?77251 (inverse (greatest_lower_bound (inverse ?77251) ?77252)) [77252, 77251] by Demod 63209 with 4 at 2
% 191.48/48.18 Id : 300, {_}: inverse (multiply (inverse ?842) ?843) =>= multiply (inverse ?843) ?842 [843, 842] by Super 298 with 18 at 2,3
% 191.48/48.18 Id : 405, {_}: inverse (multiply (multiply (inverse ?980) ?981) ?982) =<= multiply (inverse ?982) (multiply (inverse ?981) ?980) [982, 981, 980] by Super 19 with 300 at 2,3
% 191.48/48.18 Id : 422, {_}: inverse (multiply (inverse ?980) (multiply ?981 ?982)) =<= multiply (inverse ?982) (multiply (inverse ?981) ?980) [982, 981, 980] by Demod 405 with 4 at 1,2
% 191.48/48.18 Id : 423, {_}: multiply (inverse (multiply ?981 ?982)) ?980 =<= multiply (inverse ?982) (multiply (inverse ?981) ?980) [980, 982, 981] by Demod 422 with 300 at 2
% 191.48/48.18 Id : 63309, {_}: multiply (inverse (multiply ?77251 (greatest_lower_bound (inverse ?77251) ?77252))) ?77251 =>= least_upper_bound ?77251 (inverse (greatest_lower_bound (inverse ?77251) ?77252)) [77252, 77251] by Demod 63308 with 423 at 2
% 191.48/48.18 Id : 1201, {_}: multiply (multiply ?2351 (inverse ?2352)) ?2352 =>= ?2351 [2352, 2351] by Demod 26 with 334 at 3
% 191.48/48.18 Id : 1211, {_}: multiply (inverse (multiply ?2380 ?2381)) ?2380 =>= inverse ?2381 [2381, 2380] by Super 1201 with 19 at 1,2
% 191.48/48.18 Id : 63310, {_}: inverse (greatest_lower_bound (inverse ?77251) ?77252) =<= least_upper_bound ?77251 (inverse (greatest_lower_bound (inverse ?77251) ?77252)) [77252, 77251] by Demod 63309 with 1211 at 2
% 191.48/48.18 Id : 63349, {_}: least_upper_bound identity (inverse (greatest_lower_bound (inverse ?77342) identity)) =<= least_upper_bound (inverse (greatest_lower_bound identity (inverse ?77342))) ?77342 [77342] by Super 12512 with 63310 at 2,2
% 191.48/48.18 Id : 63699, {_}: inverse (greatest_lower_bound identity (inverse ?77342)) =<= least_upper_bound (inverse (greatest_lower_bound identity (inverse ?77342))) ?77342 [77342] by Demod 63349 with 9779 at 2
% 191.48/48.18 Id : 65476, {_}: greatest_lower_bound (inverse (greatest_lower_bound identity (inverse ?78803))) ?78803 =>= ?78803 [78803] by Super 624 with 63699 at 1,2
% 191.48/48.18 Id : 65478, {_}: greatest_lower_bound (inverse (greatest_lower_bound identity ?78806)) (inverse ?78806) =>= inverse ?78806 [78806] by Super 65476 with 18 at 2,1,1,2
% 191.48/48.18 Id : 67438, {_}: multiply (inverse (greatest_lower_bound (inverse (greatest_lower_bound identity ?80016)) (inverse ?80016))) (inverse (greatest_lower_bound identity ?80016)) =>= least_upper_bound identity (multiply (inverse (inverse ?80016)) (inverse (greatest_lower_bound identity ?80016))) [80016] by Super 1250 with 65478 at 1,1,2,3
% 191.48/48.18 Id : 67551, {_}: inverse (multiply (greatest_lower_bound identity ?80016) (greatest_lower_bound (inverse (greatest_lower_bound identity ?80016)) (inverse ?80016))) =>= least_upper_bound identity (multiply (inverse (inverse ?80016)) (inverse (greatest_lower_bound identity ?80016))) [80016] by Demod 67438 with 19 at 2
% 191.48/48.18 Id : 67552, {_}: inverse (multiply (greatest_lower_bound identity ?80016) (greatest_lower_bound (inverse (greatest_lower_bound identity ?80016)) (inverse ?80016))) =>= least_upper_bound identity (inverse (multiply (greatest_lower_bound identity ?80016) (inverse ?80016))) [80016] by Demod 67551 with 19 at 2,3
% 191.48/48.18 Id : 281, {_}: multiply ?786 (inverse ?786) =>= identity [786] by Super 3 with 18 at 1,2
% 191.48/48.18 Id : 371, {_}: multiply ?944 (greatest_lower_bound (inverse ?944) ?945) =>= greatest_lower_bound identity (multiply ?944 ?945) [945, 944] by Super 14 with 281 at 1,3
% 191.48/48.18 Id : 67553, {_}: inverse (greatest_lower_bound identity (multiply (greatest_lower_bound identity ?80016) (inverse ?80016))) =<= least_upper_bound identity (inverse (multiply (greatest_lower_bound identity ?80016) (inverse ?80016))) [80016] by Demod 67552 with 371 at 1,2
% 191.48/48.18 Id : 302, {_}: inverse (multiply ?847 (inverse ?848)) =>= multiply ?848 (inverse ?847) [848, 847] by Super 298 with 18 at 1,3
% 191.48/48.18 Id : 67554, {_}: inverse (greatest_lower_bound identity (multiply (greatest_lower_bound identity ?80016) (inverse ?80016))) =>= least_upper_bound identity (multiply ?80016 (inverse (greatest_lower_bound identity ?80016))) [80016] by Demod 67553 with 302 at 2,3
% 191.48/48.18 Id : 368, {_}: multiply (greatest_lower_bound ?935 ?936) (inverse ?936) =>= greatest_lower_bound (multiply ?935 (inverse ?936)) identity [936, 935] by Super 16 with 281 at 2,3
% 191.48/48.18 Id : 395, {_}: multiply (greatest_lower_bound ?935 ?936) (inverse ?936) =>= greatest_lower_bound identity (multiply ?935 (inverse ?936)) [936, 935] by Demod 368 with 5 at 3
% 191.59/48.21 Id : 67555, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound identity (multiply identity (inverse ?80016)))) =?= least_upper_bound identity (multiply ?80016 (inverse (greatest_lower_bound identity ?80016))) [80016] by Demod 67554 with 395 at 2,1,2
% 191.59/48.21 Id : 103, {_}: greatest_lower_bound ?355 (greatest_lower_bound ?355 ?356) =>= greatest_lower_bound ?355 ?356 [356, 355] by Super 7 with 10 at 1,3
% 191.59/48.21 Id : 67556, {_}: inverse (greatest_lower_bound identity (multiply identity (inverse ?80016))) =<= least_upper_bound identity (multiply ?80016 (inverse (greatest_lower_bound identity ?80016))) [80016] by Demod 67555 with 103 at 1,2
% 191.59/48.21 Id : 67557, {_}: inverse (greatest_lower_bound identity (inverse ?80016)) =<= least_upper_bound identity (multiply ?80016 (inverse (greatest_lower_bound identity ?80016))) [80016] by Demod 67556 with 2 at 2,1,2
% 191.59/48.21 Id : 375, {_}: multiply ?954 (least_upper_bound ?955 (inverse ?954)) =>= least_upper_bound (multiply ?954 ?955) identity [955, 954] by Super 13 with 281 at 2,3
% 191.59/48.21 Id : 390, {_}: multiply ?954 (least_upper_bound ?955 (inverse ?954)) =>= least_upper_bound identity (multiply ?954 ?955) [955, 954] by Demod 375 with 6 at 3
% 191.59/48.21 Id : 63986, {_}: multiply ?77967 (inverse (greatest_lower_bound identity (inverse (inverse ?77967)))) =<= least_upper_bound identity (multiply ?77967 (inverse (greatest_lower_bound identity (inverse (inverse ?77967))))) [77967] by Super 390 with 63699 at 2,2
% 191.59/48.21 Id : 64344, {_}: multiply ?77967 (inverse (greatest_lower_bound identity ?77967)) =<= least_upper_bound identity (multiply ?77967 (inverse (greatest_lower_bound identity (inverse (inverse ?77967))))) [77967] by Demod 63986 with 18 at 2,1,2,2
% 191.59/48.21 Id : 64345, {_}: multiply ?77967 (inverse (greatest_lower_bound identity ?77967)) =<= least_upper_bound identity (multiply ?77967 (inverse (greatest_lower_bound identity ?77967))) [77967] by Demod 64344 with 18 at 2,1,2,2,3
% 191.59/48.21 Id : 84353, {_}: inverse (greatest_lower_bound identity (inverse ?80016)) =<= multiply ?80016 (inverse (greatest_lower_bound identity ?80016)) [80016] by Demod 67557 with 64345 at 3
% 191.59/48.21 Id : 84380, {_}: multiply (inverse (greatest_lower_bound identity (inverse ?93859))) (inverse ?93860) =?= multiply ?93859 (inverse (multiply ?93860 (greatest_lower_bound identity ?93859))) [93860, 93859] by Super 292 with 84353 at 1,2
% 191.59/48.21 Id : 84461, {_}: inverse (multiply ?93860 (greatest_lower_bound identity (inverse ?93859))) =<= multiply ?93859 (inverse (multiply ?93860 (greatest_lower_bound identity ?93859))) [93859, 93860] by Demod 84380 with 19 at 2
% 191.59/48.21 Id : 136, {_}: greatest_lower_bound ?457 (least_upper_bound ?458 ?457) =>= ?457 [458, 457] by Super 135 with 6 at 2,2
% 191.59/48.21 Id : 372, {_}: multiply (multiply ?947 ?948) (inverse ?948) =>= multiply ?947 identity [948, 947] by Super 4 with 281 at 2,3
% 191.59/48.21 Id : 2199, {_}: multiply (multiply ?3921 ?3922) (inverse ?3922) =>= ?3921 [3922, 3921] by Demod 372 with 334 at 3
% 191.59/48.21 Id : 2211, {_}: multiply (least_upper_bound identity (multiply ?3957 ?3958)) (inverse ?3958) =>= least_upper_bound (inverse ?3958) ?3957 [3958, 3957] by Super 2199 with 223 at 1,2
% 191.59/48.21 Id : 2424, {_}: inverse (inverse ?4293) =<= multiply (inverse ?4294) (multiply ?4294 ?4293) [4294, 4293] by Super 300 with 1211 at 1,2
% 191.59/48.21 Id : 2635, {_}: ?4605 =<= multiply (inverse ?4606) (multiply ?4606 ?4605) [4606, 4605] by Demod 2424 with 18 at 2
% 191.59/48.21 Id : 160, {_}: multiply (inverse ?530) (least_upper_bound ?530 ?531) =>= least_upper_bound identity (multiply (inverse ?530) ?531) [531, 530] by Super 154 with 3 at 1,3
% 191.59/48.21 Id : 2639, {_}: least_upper_bound ?4616 ?4617 =<= multiply (inverse (inverse ?4616)) (least_upper_bound identity (multiply (inverse ?4616) ?4617)) [4617, 4616] by Super 2635 with 160 at 2,3
% 191.59/48.21 Id : 2680, {_}: least_upper_bound ?4616 ?4617 =<= multiply ?4616 (least_upper_bound identity (multiply (inverse ?4616) ?4617)) [4617, 4616] by Demod 2639 with 18 at 1,3
% 191.59/48.21 Id : 84377, {_}: multiply (inverse (greatest_lower_bound identity (inverse ?93853))) (greatest_lower_bound identity ?93853) =>= ?93853 [93853] by Super 1186 with 84353 at 1,2
% 191.59/48.21 Id : 220390, {_}: least_upper_bound (greatest_lower_bound identity (inverse ?270763)) (greatest_lower_bound identity ?270763) =<= multiply (greatest_lower_bound identity (inverse ?270763)) (least_upper_bound identity ?270763) [270763] by Super 2680 with 84377 at 2,2,3
% 191.59/48.21 Id : 220936, {_}: multiply (least_upper_bound identity (least_upper_bound (greatest_lower_bound identity (inverse ?271229)) (greatest_lower_bound identity ?271229))) (inverse (least_upper_bound identity ?271229)) =>= least_upper_bound (inverse (least_upper_bound identity ?271229)) (greatest_lower_bound identity (inverse ?271229)) [271229] by Super 2211 with 220390 at 2,1,2
% 191.59/48.21 Id : 113, {_}: least_upper_bound ?383 (least_upper_bound (greatest_lower_bound ?383 ?384) ?385) =>= least_upper_bound ?383 ?385 [385, 384, 383] by Super 8 with 11 at 1,3
% 191.59/48.21 Id : 221080, {_}: multiply (least_upper_bound identity (greatest_lower_bound identity ?271229)) (inverse (least_upper_bound identity ?271229)) =>= least_upper_bound (inverse (least_upper_bound identity ?271229)) (greatest_lower_bound identity (inverse ?271229)) [271229] by Demod 220936 with 113 at 1,2
% 191.59/48.21 Id : 221081, {_}: multiply identity (inverse (least_upper_bound identity ?271229)) =<= least_upper_bound (inverse (least_upper_bound identity ?271229)) (greatest_lower_bound identity (inverse ?271229)) [271229] by Demod 221080 with 11 at 1,2
% 191.59/48.21 Id : 221082, {_}: inverse (least_upper_bound identity ?271229) =<= least_upper_bound (inverse (least_upper_bound identity ?271229)) (greatest_lower_bound identity (inverse ?271229)) [271229] by Demod 221081 with 2 at 2
% 191.59/48.21 Id : 414728, {_}: greatest_lower_bound (greatest_lower_bound identity (inverse ?451261)) (inverse (least_upper_bound identity ?451261)) =>= greatest_lower_bound identity (inverse ?451261) [451261] by Super 136 with 221082 at 2,2
% 191.59/48.21 Id : 415155, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?451261)) (greatest_lower_bound identity (inverse ?451261)) =>= greatest_lower_bound identity (inverse ?451261) [451261] by Demod 414728 with 5 at 2
% 191.59/48.21 Id : 587, {_}: least_upper_bound ?1317 (greatest_lower_bound ?1318 ?1317) =>= ?1317 [1318, 1317] by Super 117 with 5 at 2,2
% 191.59/48.21 Id : 594, {_}: least_upper_bound ?1338 (greatest_lower_bound ?1339 (greatest_lower_bound ?1340 ?1338)) =>= ?1338 [1340, 1339, 1338] by Super 587 with 7 at 2,2
% 191.59/48.21 Id : 4688, {_}: greatest_lower_bound ?8768 (greatest_lower_bound ?8769 (greatest_lower_bound ?8770 ?8768)) =>= greatest_lower_bound ?8769 (greatest_lower_bound ?8770 ?8768) [8770, 8769, 8768] by Super 624 with 594 at 1,2
% 191.59/48.21 Id : 520, {_}: greatest_lower_bound ?1179 (greatest_lower_bound ?1179 ?1180) =>= greatest_lower_bound ?1179 ?1180 [1180, 1179] by Super 7 with 10 at 1,3
% 191.59/48.21 Id : 872, {_}: greatest_lower_bound ?1837 (greatest_lower_bound ?1838 ?1837) =>= greatest_lower_bound ?1837 ?1838 [1838, 1837] by Super 520 with 5 at 2,2
% 191.59/48.21 Id : 883, {_}: greatest_lower_bound ?1870 (greatest_lower_bound ?1871 (greatest_lower_bound ?1872 ?1870)) =>= greatest_lower_bound ?1870 (greatest_lower_bound ?1871 ?1872) [1872, 1871, 1870] by Super 872 with 7 at 2,2
% 191.59/48.21 Id : 129116, {_}: greatest_lower_bound ?8768 (greatest_lower_bound ?8769 ?8770) =?= greatest_lower_bound ?8769 (greatest_lower_bound ?8770 ?8768) [8770, 8769, 8768] by Demod 4688 with 883 at 2
% 191.59/48.21 Id : 415156, {_}: greatest_lower_bound identity (greatest_lower_bound (inverse ?451261) (inverse (least_upper_bound identity ?451261))) =>= greatest_lower_bound identity (inverse ?451261) [451261] by Demod 415155 with 129116 at 2
% 191.59/48.21 Id : 186, {_}: multiply (inverse ?585) (greatest_lower_bound ?586 ?585) =>= greatest_lower_bound (multiply (inverse ?585) ?586) identity [586, 585] by Super 184 with 3 at 2,3
% 191.59/48.21 Id : 205, {_}: multiply (inverse ?585) (greatest_lower_bound ?586 ?585) =>= greatest_lower_bound identity (multiply (inverse ?585) ?586) [586, 585] by Demod 186 with 5 at 3
% 191.59/48.21 Id : 130, {_}: greatest_lower_bound ?436 (greatest_lower_bound (least_upper_bound ?436 ?437) ?438) =>= greatest_lower_bound ?436 ?438 [438, 437, 436] by Super 7 with 12 at 1,3
% 191.59/48.21 Id : 10088, {_}: inverse (greatest_lower_bound identity ?19122) =<= least_upper_bound identity (inverse (greatest_lower_bound ?19122 identity)) [19122] by Super 9778 with 5 at 1,2,3
% 191.59/48.21 Id : 12746, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound ?22003 ?22004)) =<= least_upper_bound identity (inverse (greatest_lower_bound ?22003 (greatest_lower_bound ?22004 identity))) [22004, 22003] by Super 10088 with 7 at 1,2,3
% 191.59/48.21 Id : 12751, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound ?22017 (least_upper_bound ?22018 identity))) =>= least_upper_bound identity (inverse (greatest_lower_bound ?22017 identity)) [22018, 22017] by Super 12746 with 624 at 2,1,2,3
% 191.59/48.21 Id : 12865, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound ?22017 (least_upper_bound ?22018 identity))) =>= inverse (greatest_lower_bound identity ?22017) [22018, 22017] by Demod 12751 with 9779 at 3
% 191.59/48.21 Id : 18767, {_}: inverse (inverse (greatest_lower_bound identity ?29223)) =<= greatest_lower_bound identity (greatest_lower_bound ?29223 (least_upper_bound ?29224 identity)) [29224, 29223] by Super 18 with 12865 at 1,2
% 191.59/48.21 Id : 18869, {_}: greatest_lower_bound identity ?29223 =<= greatest_lower_bound identity (greatest_lower_bound ?29223 (least_upper_bound ?29224 identity)) [29224, 29223] by Demod 18767 with 18 at 2
% 191.59/48.21 Id : 19291, {_}: least_upper_bound (least_upper_bound ?29961 identity) (greatest_lower_bound identity ?29962) =>= least_upper_bound ?29961 identity [29962, 29961] by Super 594 with 18869 at 2,2
% 191.59/48.21 Id : 19292, {_}: least_upper_bound (least_upper_bound ?29964 identity) (greatest_lower_bound ?29965 identity) =>= least_upper_bound ?29964 identity [29965, 29964] by Super 19291 with 5 at 2,2
% 191.59/48.21 Id : 19500, {_}: greatest_lower_bound (least_upper_bound ?30156 identity) (greatest_lower_bound ?30157 identity) =>= greatest_lower_bound ?30157 identity [30157, 30156] by Super 624 with 19292 at 1,2
% 191.59/48.21 Id : 19700, {_}: greatest_lower_bound (least_upper_bound (least_upper_bound ?30416 identity) ?30417) identity =>= greatest_lower_bound (least_upper_bound ?30416 identity) identity [30417, 30416] by Super 130 with 19500 at 2
% 191.59/48.21 Id : 19813, {_}: greatest_lower_bound identity (least_upper_bound (least_upper_bound ?30416 identity) ?30417) =>= greatest_lower_bound (least_upper_bound ?30416 identity) identity [30417, 30416] by Demod 19700 with 5 at 2
% 191.59/48.21 Id : 19814, {_}: greatest_lower_bound identity (least_upper_bound (least_upper_bound ?30416 identity) ?30417) =>= greatest_lower_bound identity (least_upper_bound ?30416 identity) [30417, 30416] by Demod 19813 with 5 at 3
% 191.59/48.21 Id : 19815, {_}: greatest_lower_bound identity (least_upper_bound (least_upper_bound ?30416 identity) ?30417) =>= identity [30417, 30416] by Demod 19814 with 136 at 3
% 191.59/48.21 Id : 20197, {_}: multiply (inverse (least_upper_bound (least_upper_bound ?31052 identity) ?31053)) identity =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound (least_upper_bound ?31052 identity) ?31053)) identity) [31053, 31052] by Super 205 with 19815 at 2,2
% 191.59/48.21 Id : 20321, {_}: inverse (least_upper_bound (least_upper_bound ?31052 identity) ?31053) =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound (least_upper_bound ?31052 identity) ?31053)) identity) [31053, 31052] by Demod 20197 with 334 at 2
% 191.59/48.21 Id : 20322, {_}: inverse (least_upper_bound (least_upper_bound ?31052 identity) ?31053) =<= greatest_lower_bound identity (inverse (least_upper_bound (least_upper_bound ?31052 identity) ?31053)) [31053, 31052] by Demod 20321 with 334 at 2,3
% 191.59/48.21 Id : 118, {_}: least_upper_bound ?402 (greatest_lower_bound ?403 ?402) =>= ?402 [403, 402] by Super 117 with 5 at 2,2
% 191.59/48.21 Id : 20193, {_}: least_upper_bound (least_upper_bound (least_upper_bound ?31042 identity) ?31043) identity =>= least_upper_bound (least_upper_bound ?31042 identity) ?31043 [31043, 31042] by Super 118 with 19815 at 2,2
% 191.59/48.21 Id : 20323, {_}: least_upper_bound identity (least_upper_bound (least_upper_bound ?31042 identity) ?31043) =>= least_upper_bound (least_upper_bound ?31042 identity) ?31043 [31043, 31042] by Demod 20193 with 6 at 2
% 191.59/48.21 Id : 487, {_}: least_upper_bound ?1105 (least_upper_bound ?1105 ?1106) =>= least_upper_bound ?1105 ?1106 [1106, 1105] by Super 8 with 9 at 1,3
% 191.59/48.21 Id : 488, {_}: least_upper_bound ?1108 (least_upper_bound ?1109 ?1108) =>= least_upper_bound ?1108 ?1109 [1109, 1108] by Super 487 with 6 at 2,2
% 191.59/48.21 Id : 754, {_}: least_upper_bound ?1612 (least_upper_bound (least_upper_bound ?1613 ?1612) ?1614) =>= least_upper_bound (least_upper_bound ?1612 ?1613) ?1614 [1614, 1613, 1612] by Super 8 with 488 at 1,3
% 191.59/48.21 Id : 20324, {_}: least_upper_bound (least_upper_bound identity ?31042) ?31043 =?= least_upper_bound (least_upper_bound ?31042 identity) ?31043 [31043, 31042] by Demod 20323 with 754 at 2
% 191.59/48.21 Id : 20325, {_}: least_upper_bound identity (least_upper_bound ?31042 ?31043) =<= least_upper_bound (least_upper_bound ?31042 identity) ?31043 [31043, 31042] by Demod 20324 with 8 at 2
% 191.59/48.21 Id : 24730, {_}: inverse (least_upper_bound identity (least_upper_bound ?31052 ?31053)) =<= greatest_lower_bound identity (inverse (least_upper_bound (least_upper_bound ?31052 identity) ?31053)) [31053, 31052] by Demod 20322 with 20325 at 1,2
% 191.59/48.21 Id : 24797, {_}: inverse (least_upper_bound identity (least_upper_bound ?36427 ?36428)) =<= greatest_lower_bound identity (inverse (least_upper_bound identity (least_upper_bound ?36427 ?36428))) [36428, 36427] by Demod 24730 with 20325 at 1,2,3
% 191.59/48.21 Id : 24800, {_}: inverse (least_upper_bound identity (least_upper_bound ?36437 ?36437)) =?= greatest_lower_bound identity (inverse (least_upper_bound identity ?36437)) [36437] by Super 24797 with 9 at 2,1,2,3
% 191.59/48.21 Id : 25024, {_}: inverse (least_upper_bound identity ?36437) =<= greatest_lower_bound identity (inverse (least_upper_bound identity ?36437)) [36437] by Demod 24800 with 9 at 2,1,2
% 191.59/48.21 Id : 32089, {_}: greatest_lower_bound identity (greatest_lower_bound (inverse (least_upper_bound identity ?44967)) ?44968) =>= greatest_lower_bound (inverse (least_upper_bound identity ?44967)) ?44968 [44968, 44967] by Super 7 with 25024 at 1,3
% 191.59/48.21 Id : 32125, {_}: greatest_lower_bound identity (greatest_lower_bound ?45094 (inverse (least_upper_bound identity ?45095))) =>= greatest_lower_bound (inverse (least_upper_bound identity ?45095)) ?45094 [45095, 45094] by Super 32089 with 5 at 2,2
% 191.59/48.21 Id : 415157, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?451261)) (inverse ?451261) =>= greatest_lower_bound identity (inverse ?451261) [451261] by Demod 415156 with 32125 at 2
% 191.59/48.21 Id : 654, {_}: least_upper_bound (least_upper_bound ?1430 ?1431) ?1431 =>= least_upper_bound ?1430 ?1431 [1431, 1430] by Super 118 with 136 at 2,2
% 191.59/48.21 Id : 1255, {_}: multiply (inverse (least_upper_bound ?2470 ?2471)) (least_upper_bound ?2470 ?2471) =>= least_upper_bound identity (multiply (inverse (least_upper_bound ?2470 ?2471)) ?2471) [2471, 2470] by Super 1244 with 654 at 2,2
% 191.59/48.22 Id : 1285, {_}: identity =<= least_upper_bound identity (multiply (inverse (least_upper_bound ?2470 ?2471)) ?2471) [2471, 2470] by Demod 1255 with 3 at 2
% 191.59/48.22 Id : 63212, {_}: multiply identity ?77260 =<= least_upper_bound ?77260 (inverse (least_upper_bound ?77261 (inverse ?77260))) [77261, 77260] by Super 63166 with 1285 at 1,2
% 191.59/48.22 Id : 63315, {_}: ?77260 =<= least_upper_bound ?77260 (inverse (least_upper_bound ?77261 (inverse ?77260))) [77261, 77260] by Demod 63212 with 2 at 2
% 191.59/48.22 Id : 92802, {_}: greatest_lower_bound (inverse (least_upper_bound ?101257 (inverse ?101258))) ?101258 =>= inverse (least_upper_bound ?101257 (inverse ?101258)) [101258, 101257] by Super 136 with 63315 at 2,2
% 191.59/48.22 Id : 92804, {_}: greatest_lower_bound (inverse (least_upper_bound ?101262 ?101263)) (inverse ?101263) =>= inverse (least_upper_bound ?101262 (inverse (inverse ?101263))) [101263, 101262] by Super 92802 with 18 at 2,1,1,2
% 191.59/48.22 Id : 93232, {_}: greatest_lower_bound (inverse (least_upper_bound ?101262 ?101263)) (inverse ?101263) =>= inverse (least_upper_bound ?101262 ?101263) [101263, 101262] by Demod 92804 with 18 at 2,1,3
% 191.59/48.22 Id : 415158, {_}: inverse (least_upper_bound identity ?451261) =<= greatest_lower_bound identity (inverse ?451261) [451261] by Demod 415157 with 93232 at 2
% 191.59/48.22 Id : 415887, {_}: inverse (multiply ?93860 (inverse (least_upper_bound identity ?93859))) =<= multiply ?93859 (inverse (multiply ?93860 (greatest_lower_bound identity ?93859))) [93859, 93860] by Demod 84461 with 415158 at 2,1,2
% 191.59/48.22 Id : 415963, {_}: multiply (least_upper_bound identity ?93859) (inverse ?93860) =<= multiply ?93859 (inverse (multiply ?93860 (greatest_lower_bound identity ?93859))) [93860, 93859] by Demod 415887 with 302 at 2
% 191.59/48.22 Id : 1762, {_}: multiply (greatest_lower_bound ?3278 ?3279) (inverse ?3278) =>= greatest_lower_bound identity (multiply ?3279 (inverse ?3278)) [3279, 3278] by Super 16 with 281 at 1,3
% 191.59/48.22 Id : 128, {_}: greatest_lower_bound (least_upper_bound ?430 ?431) ?430 =>= ?430 [431, 430] by Super 5 with 12 at 3
% 191.59/48.22 Id : 105002, {_}: multiply ?115214 (inverse (least_upper_bound ?115214 ?115215)) =<= greatest_lower_bound identity (multiply ?115214 (inverse (least_upper_bound ?115214 ?115215))) [115215, 115214] by Super 1762 with 128 at 1,2
% 191.59/48.22 Id : 105003, {_}: multiply ?115217 (inverse (least_upper_bound ?115217 ?115218)) =<= greatest_lower_bound identity (multiply ?115217 (inverse (least_upper_bound ?115218 ?115217))) [115218, 115217] by Super 105002 with 6 at 1,2,2,3
% 191.59/48.22 Id : 1776, {_}: multiply ?3321 (inverse (least_upper_bound ?3322 ?3321)) =<= greatest_lower_bound identity (multiply ?3321 (inverse (least_upper_bound ?3322 ?3321))) [3322, 3321] by Super 1762 with 624 at 1,2
% 191.59/48.22 Id : 273616, {_}: multiply ?115217 (inverse (least_upper_bound ?115217 ?115218)) =?= multiply ?115217 (inverse (least_upper_bound ?115218 ?115217)) [115218, 115217] by Demod 105003 with 1776 at 3
% 191.59/48.22 Id : 2459, {_}: ?4293 =<= multiply (inverse ?4294) (multiply ?4294 ?4293) [4294, 4293] by Demod 2424 with 18 at 2
% 191.59/48.22 Id : 1035, {_}: least_upper_bound (least_upper_bound ?2091 ?2092) (least_upper_bound ?2092 ?2093) =>= least_upper_bound (least_upper_bound ?2091 ?2092) ?2093 [2093, 2092, 2091] by Super 8 with 654 at 1,3
% 191.59/48.22 Id : 25238, {_}: least_upper_bound identity (inverse (least_upper_bound identity ?36733)) =>= identity [36733] by Super 11 with 25024 at 2,2
% 191.59/48.22 Id : 25847, {_}: least_upper_bound (least_upper_bound ?37115 identity) identity =<= least_upper_bound (least_upper_bound ?37115 identity) (inverse (least_upper_bound identity ?37116)) [37116, 37115] by Super 1035 with 25238 at 2,2
% 191.59/48.22 Id : 25988, {_}: least_upper_bound identity (least_upper_bound ?37115 identity) =<= least_upper_bound (least_upper_bound ?37115 identity) (inverse (least_upper_bound identity ?37116)) [37116, 37115] by Demod 25847 with 6 at 2
% 191.59/48.22 Id : 25989, {_}: least_upper_bound identity (least_upper_bound ?37115 identity) =<= least_upper_bound (inverse (least_upper_bound identity ?37116)) (least_upper_bound ?37115 identity) [37116, 37115] by Demod 25988 with 6 at 3
% 191.59/48.22 Id : 25990, {_}: least_upper_bound identity ?37115 =<= least_upper_bound (inverse (least_upper_bound identity ?37116)) (least_upper_bound ?37115 identity) [37116, 37115] by Demod 25989 with 488 at 2
% 191.59/48.22 Id : 38258, {_}: multiply (least_upper_bound identity ?51447) (least_upper_bound identity ?51448) =<= least_upper_bound identity (multiply (least_upper_bound ?51447 identity) (least_upper_bound identity ?51448)) [51448, 51447] by Super 223 with 25990 at 1,2
% 191.59/48.22 Id : 84387, {_}: inverse (greatest_lower_bound identity (inverse ?93879)) =<= multiply ?93879 (inverse (greatest_lower_bound identity ?93879)) [93879] by Demod 67557 with 64345 at 3
% 191.59/48.22 Id : 84388, {_}: inverse (greatest_lower_bound identity (inverse ?93881)) =<= multiply ?93881 (inverse (greatest_lower_bound ?93881 identity)) [93881] by Super 84387 with 5 at 1,2,3
% 191.59/48.22 Id : 84693, {_}: multiply (inverse (greatest_lower_bound identity (inverse ?94060))) (greatest_lower_bound ?94060 identity) =>= ?94060 [94060] by Super 1186 with 84388 at 1,2
% 191.59/48.22 Id : 1371, {_}: multiply (inverse ?2661) (greatest_lower_bound ?2661 ?2662) =>= greatest_lower_bound identity (multiply (inverse ?2661) ?2662) [2662, 2661] by Super 184 with 3 at 1,3
% 191.59/48.22 Id : 1381, {_}: multiply (inverse (least_upper_bound ?2691 ?2692)) ?2692 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?2691 ?2692)) ?2692) [2692, 2691] by Super 1371 with 624 at 2,2
% 191.59/48.22 Id : 95, {_}: least_upper_bound ?333 (least_upper_bound ?333 ?334) =>= least_upper_bound ?333 ?334 [334, 333] by Super 8 with 9 at 1,3
% 191.59/48.22 Id : 480, {_}: least_upper_bound (least_upper_bound ?1080 ?1081) ?1080 =>= least_upper_bound ?1080 ?1081 [1081, 1080] by Super 6 with 95 at 3
% 191.59/48.22 Id : 1252, {_}: multiply (inverse (least_upper_bound ?2461 ?2462)) (least_upper_bound ?2461 ?2462) =>= least_upper_bound identity (multiply (inverse (least_upper_bound ?2461 ?2462)) ?2461) [2462, 2461] by Super 1244 with 480 at 2,2
% 191.59/48.22 Id : 1283, {_}: identity =<= least_upper_bound identity (multiply (inverse (least_upper_bound ?2461 ?2462)) ?2461) [2462, 2461] by Demod 1252 with 3 at 2
% 191.59/48.22 Id : 63211, {_}: multiply identity ?77257 =<= least_upper_bound ?77257 (inverse (least_upper_bound (inverse ?77257) ?77258)) [77258, 77257] by Super 63166 with 1283 at 1,2
% 191.59/48.22 Id : 70593, {_}: ?82485 =<= least_upper_bound ?82485 (inverse (least_upper_bound (inverse ?82485) ?82486)) [82486, 82485] by Demod 63211 with 2 at 2
% 191.59/48.22 Id : 25274, {_}: inverse (least_upper_bound identity ?36825) =<= greatest_lower_bound identity (inverse (least_upper_bound identity ?36825)) [36825] by Demod 24800 with 9 at 2,1,2
% 191.59/48.22 Id : 25275, {_}: inverse (least_upper_bound identity ?36827) =<= greatest_lower_bound identity (inverse (least_upper_bound ?36827 identity)) [36827] by Super 25274 with 6 at 1,2,3
% 191.59/48.22 Id : 18977, {_}: least_upper_bound (least_upper_bound ?29540 identity) (greatest_lower_bound identity ?29541) =>= least_upper_bound ?29540 identity [29541, 29540] by Super 594 with 18869 at 2,2
% 191.59/48.22 Id : 20436, {_}: least_upper_bound identity (least_upper_bound ?29540 (greatest_lower_bound identity ?29541)) =>= least_upper_bound ?29540 identity [29541, 29540] by Demod 18977 with 20325 at 2
% 191.59/48.22 Id : 24864, {_}: inverse (least_upper_bound identity (least_upper_bound ?36641 (greatest_lower_bound identity ?36642))) =>= greatest_lower_bound identity (inverse (least_upper_bound ?36641 identity)) [36642, 36641] by Super 24797 with 20436 at 1,2,3
% 191.59/48.22 Id : 25204, {_}: inverse (least_upper_bound ?36641 identity) =<= greatest_lower_bound identity (inverse (least_upper_bound ?36641 identity)) [36641] by Demod 24864 with 20436 at 1,2
% 191.59/48.22 Id : 26033, {_}: inverse (least_upper_bound identity ?36827) =?= inverse (least_upper_bound ?36827 identity) [36827] by Demod 25275 with 25204 at 3
% 191.59/48.22 Id : 71085, {_}: ?82948 =<= least_upper_bound ?82948 (inverse (least_upper_bound identity (inverse ?82948))) [82948] by Super 70593 with 26033 at 2,3
% 191.59/48.22 Id : 71087, {_}: inverse ?82951 =<= least_upper_bound (inverse ?82951) (inverse (least_upper_bound identity ?82951)) [82951] by Super 71085 with 18 at 2,1,2,3
% 191.59/48.22 Id : 73656, {_}: multiply (inverse (least_upper_bound (inverse ?84255) (inverse (least_upper_bound identity ?84255)))) (inverse (least_upper_bound identity ?84255)) =>= greatest_lower_bound identity (multiply (inverse (inverse ?84255)) (inverse (least_upper_bound identity ?84255))) [84255] by Super 1381 with 71087 at 1,1,2,3
% 191.59/48.22 Id : 73740, {_}: inverse (multiply (least_upper_bound identity ?84255) (least_upper_bound (inverse ?84255) (inverse (least_upper_bound identity ?84255)))) =>= greatest_lower_bound identity (multiply (inverse (inverse ?84255)) (inverse (least_upper_bound identity ?84255))) [84255] by Demod 73656 with 19 at 2
% 191.59/48.22 Id : 73741, {_}: inverse (multiply (least_upper_bound identity ?84255) (least_upper_bound (inverse ?84255) (inverse (least_upper_bound identity ?84255)))) =>= greatest_lower_bound identity (inverse (multiply (least_upper_bound identity ?84255) (inverse ?84255))) [84255] by Demod 73740 with 19 at 2,3
% 191.59/48.22 Id : 73742, {_}: inverse (least_upper_bound identity (multiply (least_upper_bound identity ?84255) (inverse ?84255))) =<= greatest_lower_bound identity (inverse (multiply (least_upper_bound identity ?84255) (inverse ?84255))) [84255] by Demod 73741 with 390 at 1,2
% 191.59/48.22 Id : 73743, {_}: inverse (least_upper_bound identity (multiply (least_upper_bound identity ?84255) (inverse ?84255))) =>= greatest_lower_bound identity (multiply ?84255 (inverse (least_upper_bound identity ?84255))) [84255] by Demod 73742 with 302 at 2,3
% 191.59/48.22 Id : 377, {_}: multiply (least_upper_bound ?960 ?961) (inverse ?961) =>= least_upper_bound (multiply ?960 (inverse ?961)) identity [961, 960] by Super 15 with 281 at 2,3
% 191.59/48.22 Id : 389, {_}: multiply (least_upper_bound ?960 ?961) (inverse ?961) =>= least_upper_bound identity (multiply ?960 (inverse ?961)) [961, 960] by Demod 377 with 6 at 3
% 191.59/48.22 Id : 73744, {_}: inverse (least_upper_bound identity (least_upper_bound identity (multiply identity (inverse ?84255)))) =?= greatest_lower_bound identity (multiply ?84255 (inverse (least_upper_bound identity ?84255))) [84255] by Demod 73743 with 389 at 2,1,2
% 191.59/48.22 Id : 73745, {_}: inverse (least_upper_bound identity (multiply identity (inverse ?84255))) =<= greatest_lower_bound identity (multiply ?84255 (inverse (least_upper_bound identity ?84255))) [84255] by Demod 73744 with 95 at 1,2
% 191.59/48.22 Id : 73746, {_}: inverse (least_upper_bound identity (inverse ?84255)) =<= greatest_lower_bound identity (multiply ?84255 (inverse (least_upper_bound identity ?84255))) [84255] by Demod 73745 with 2 at 2,1,2
% 191.59/48.22 Id : 70651, {_}: ?82658 =<= least_upper_bound ?82658 (inverse (least_upper_bound identity (inverse ?82658))) [82658] by Super 70593 with 26033 at 2,3
% 191.59/48.22 Id : 71020, {_}: greatest_lower_bound ?82805 (inverse (least_upper_bound identity (inverse ?82805))) =>= inverse (least_upper_bound identity (inverse ?82805)) [82805] by Super 624 with 70651 at 1,2
% 191.59/48.22 Id : 71563, {_}: multiply ?83198 (inverse (least_upper_bound identity (inverse (inverse ?83198)))) =<= greatest_lower_bound identity (multiply ?83198 (inverse (least_upper_bound identity (inverse (inverse ?83198))))) [83198] by Super 371 with 71020 at 2,2
% 191.59/48.22 Id : 71842, {_}: multiply ?83198 (inverse (least_upper_bound identity ?83198)) =<= greatest_lower_bound identity (multiply ?83198 (inverse (least_upper_bound identity (inverse (inverse ?83198))))) [83198] by Demod 71563 with 18 at 2,1,2,2
% 191.59/48.22 Id : 71843, {_}: multiply ?83198 (inverse (least_upper_bound identity ?83198)) =<= greatest_lower_bound identity (multiply ?83198 (inverse (least_upper_bound identity ?83198))) [83198] by Demod 71842 with 18 at 2,1,2,2,3
% 191.59/48.22 Id : 91263, {_}: inverse (least_upper_bound identity (inverse ?84255)) =<= multiply ?84255 (inverse (least_upper_bound identity ?84255)) [84255] by Demod 73746 with 71843 at 3
% 191.59/48.22 Id : 91274, {_}: multiply (inverse (least_upper_bound identity (inverse ?99830))) (inverse ?99831) =?= multiply ?99830 (inverse (multiply ?99831 (least_upper_bound identity ?99830))) [99831, 99830] by Super 292 with 91263 at 1,2
% 191.59/48.22 Id : 242179, {_}: inverse (multiply ?285471 (least_upper_bound identity (inverse ?285472))) =<= multiply ?285472 (inverse (multiply ?285471 (least_upper_bound identity ?285472))) [285472, 285471] by Demod 91274 with 19 at 2
% 191.59/48.22 Id : 551, {_}: least_upper_bound (greatest_lower_bound ?1244 ?1245) ?1244 =>= ?1244 [1245, 1244] by Super 6 with 11 at 3
% 191.59/48.22 Id : 552, {_}: least_upper_bound (greatest_lower_bound ?1247 ?1248) ?1248 =>= ?1248 [1248, 1247] by Super 551 with 5 at 1,2
% 191.59/48.22 Id : 57719, {_}: multiply (inverse (greatest_lower_bound ?72377 ?72378)) ?72378 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?72377 ?72378)) ?72378) [72378, 72377] by Super 1244 with 552 at 2,2
% 191.59/48.22 Id : 618, {_}: greatest_lower_bound (least_upper_bound ?1370 ?1371) (greatest_lower_bound ?1370 ?1372) =>= greatest_lower_bound ?1370 ?1372 [1372, 1371, 1370] by Super 7 with 128 at 1,3
% 191.59/48.22 Id : 25590, {_}: greatest_lower_bound (least_upper_bound identity ?37015) (inverse (least_upper_bound ?37016 identity)) =>= greatest_lower_bound identity (inverse (least_upper_bound ?37016 identity)) [37016, 37015] by Super 618 with 25204 at 2,2
% 191.59/48.22 Id : 25678, {_}: greatest_lower_bound (inverse (least_upper_bound ?37016 identity)) (least_upper_bound identity ?37015) =>= greatest_lower_bound identity (inverse (least_upper_bound ?37016 identity)) [37015, 37016] by Demod 25590 with 5 at 2
% 191.59/48.22 Id : 25679, {_}: greatest_lower_bound (inverse (least_upper_bound ?37016 identity)) (least_upper_bound identity ?37015) =>= inverse (least_upper_bound ?37016 identity) [37015, 37016] by Demod 25678 with 25204 at 3
% 191.70/48.23 Id : 57773, {_}: multiply (inverse (greatest_lower_bound (inverse (least_upper_bound ?72552 identity)) (least_upper_bound identity ?72553))) (least_upper_bound identity ?72553) =>= least_upper_bound identity (multiply (inverse (inverse (least_upper_bound ?72552 identity))) (least_upper_bound identity ?72553)) [72553, 72552] by Super 57719 with 25679 at 1,1,2,3
% 191.70/48.23 Id : 58199, {_}: multiply (inverse (inverse (least_upper_bound ?72552 identity))) (least_upper_bound identity ?72553) =<= least_upper_bound identity (multiply (inverse (inverse (least_upper_bound ?72552 identity))) (least_upper_bound identity ?72553)) [72553, 72552] by Demod 57773 with 25679 at 1,1,2
% 191.70/48.23 Id : 58200, {_}: multiply (inverse (inverse (least_upper_bound ?72552 identity))) (least_upper_bound identity ?72553) =>= least_upper_bound identity (multiply (least_upper_bound ?72552 identity) (least_upper_bound identity ?72553)) [72553, 72552] by Demod 58199 with 18 at 1,2,3
% 191.70/48.23 Id : 58201, {_}: multiply (least_upper_bound ?72552 identity) (least_upper_bound identity ?72553) =<= least_upper_bound identity (multiply (least_upper_bound ?72552 identity) (least_upper_bound identity ?72553)) [72553, 72552] by Demod 58200 with 18 at 1,2
% 191.70/48.23 Id : 211994, {_}: multiply (least_upper_bound ?72552 identity) (least_upper_bound identity ?72553) =?= multiply (least_upper_bound identity ?72552) (least_upper_bound identity ?72553) [72553, 72552] by Demod 58201 with 38258 at 3
% 191.70/48.23 Id : 91278, {_}: multiply (inverse (least_upper_bound identity (inverse ?99840))) (least_upper_bound identity ?99840) =>= ?99840 [99840] by Super 1186 with 91263 at 1,2
% 191.70/48.23 Id : 234009, {_}: least_upper_bound (least_upper_bound identity (inverse ?280849)) (least_upper_bound identity ?280849) =<= multiply (least_upper_bound identity (inverse ?280849)) (least_upper_bound identity ?280849) [280849] by Super 2680 with 91278 at 2,2,3
% 191.70/48.23 Id : 702, {_}: least_upper_bound (least_upper_bound ?1528 ?1529) (least_upper_bound ?1528 ?1530) =>= least_upper_bound (least_upper_bound ?1528 ?1529) ?1530 [1530, 1529, 1528] by Super 8 with 480 at 1,3
% 191.70/48.23 Id : 234147, {_}: least_upper_bound (least_upper_bound identity (inverse ?280849)) ?280849 =<= multiply (least_upper_bound identity (inverse ?280849)) (least_upper_bound identity ?280849) [280849] by Demod 234009 with 702 at 2
% 191.70/48.23 Id : 708, {_}: least_upper_bound (least_upper_bound ?1548 ?1549) ?1548 =>= least_upper_bound ?1548 ?1549 [1549, 1548] by Super 6 with 95 at 3
% 191.70/48.23 Id : 5533, {_}: least_upper_bound (least_upper_bound (least_upper_bound ?10740 ?10741) ?10742) ?10740 =>= least_upper_bound ?10740 (least_upper_bound ?10741 ?10742) [10742, 10741, 10740] by Super 708 with 8 at 1,2
% 191.70/48.23 Id : 5534, {_}: least_upper_bound (least_upper_bound (least_upper_bound ?10744 ?10745) ?10746) ?10745 =>= least_upper_bound ?10745 (least_upper_bound ?10744 ?10746) [10746, 10745, 10744] by Super 5533 with 6 at 1,1,2
% 191.70/48.23 Id : 549, {_}: least_upper_bound (greatest_lower_bound ?1237 ?1238) (least_upper_bound ?1237 ?1239) =>= least_upper_bound ?1237 ?1239 [1239, 1238, 1237] by Super 8 with 111 at 1,2
% 191.70/48.23 Id : 4462, {_}: least_upper_bound (least_upper_bound ?8280 ?8281) (greatest_lower_bound ?8280 ?8282) =>= least_upper_bound ?8280 ?8281 [8282, 8281, 8280] by Demod 549 with 6 at 2
% 191.70/48.23 Id : 4475, {_}: least_upper_bound (least_upper_bound (least_upper_bound ?8330 ?8331) ?8332) ?8331 =>= least_upper_bound (least_upper_bound ?8330 ?8331) ?8332 [8332, 8331, 8330] by Super 4462 with 624 at 2,2
% 191.70/48.23 Id : 138954, {_}: least_upper_bound (least_upper_bound ?10744 ?10745) ?10746 =?= least_upper_bound ?10745 (least_upper_bound ?10744 ?10746) [10746, 10745, 10744] by Demod 5534 with 4475 at 2
% 191.70/48.23 Id : 234148, {_}: least_upper_bound (inverse ?280849) (least_upper_bound identity ?280849) =<= multiply (least_upper_bound identity (inverse ?280849)) (least_upper_bound identity ?280849) [280849] by Demod 234147 with 138954 at 2
% 191.70/48.23 Id : 665, {_}: greatest_lower_bound ?1464 (least_upper_bound ?1465 ?1464) =>= ?1464 [1465, 1464] by Super 135 with 6 at 2,2
% 191.70/48.23 Id : 674, {_}: greatest_lower_bound ?1490 (least_upper_bound ?1491 (least_upper_bound ?1492 ?1490)) =>= ?1490 [1492, 1491, 1490] by Super 665 with 8 at 2,2
% 191.70/48.23 Id : 5216, {_}: least_upper_bound ?9991 (least_upper_bound ?9992 (least_upper_bound ?9993 ?9991)) =>= least_upper_bound ?9992 (least_upper_bound ?9993 ?9991) [9993, 9992, 9991] by Super 552 with 674 at 1,2
% 191.70/48.23 Id : 764, {_}: least_upper_bound ?1645 (least_upper_bound ?1646 ?1645) =>= least_upper_bound ?1645 ?1646 [1646, 1645] by Super 487 with 6 at 2,2
% 191.70/48.23 Id : 775, {_}: least_upper_bound ?1678 (least_upper_bound ?1679 (least_upper_bound ?1680 ?1678)) =>= least_upper_bound ?1678 (least_upper_bound ?1679 ?1680) [1680, 1679, 1678] by Super 764 with 8 at 2,2
% 191.70/48.23 Id : 134609, {_}: least_upper_bound ?9991 (least_upper_bound ?9992 ?9993) =?= least_upper_bound ?9992 (least_upper_bound ?9993 ?9991) [9993, 9992, 9991] by Demod 5216 with 775 at 2
% 191.70/48.23 Id : 235422, {_}: least_upper_bound identity (least_upper_bound ?281704 (inverse ?281704)) =<= multiply (least_upper_bound identity (inverse ?281704)) (least_upper_bound identity ?281704) [281704] by Demod 234148 with 134609 at 2
% 191.70/48.23 Id : 235504, {_}: least_upper_bound identity (least_upper_bound (inverse ?281931) (inverse (inverse ?281931))) =<= multiply (least_upper_bound identity ?281931) (least_upper_bound identity (inverse ?281931)) [281931] by Super 235422 with 18 at 2,1,3
% 191.70/48.23 Id : 236023, {_}: least_upper_bound identity (least_upper_bound (inverse ?281931) ?281931) =<= multiply (least_upper_bound identity ?281931) (least_upper_bound identity (inverse ?281931)) [281931] by Demod 235504 with 18 at 2,2,2
% 191.70/48.23 Id : 238390, {_}: multiply (least_upper_bound ?283062 identity) (least_upper_bound identity (inverse ?283062)) =>= least_upper_bound identity (least_upper_bound (inverse ?283062) ?283062) [283062] by Super 211994 with 236023 at 3
% 191.70/48.23 Id : 242293, {_}: inverse (multiply (least_upper_bound ?285862 identity) (least_upper_bound identity (inverse (inverse ?285862)))) =<= multiply (inverse ?285862) (inverse (least_upper_bound identity (least_upper_bound (inverse ?285862) ?285862))) [285862] by Super 242179 with 238390 at 1,2,3
% 191.70/48.23 Id : 242700, {_}: inverse (multiply (least_upper_bound ?285862 identity) (least_upper_bound identity ?285862)) =<= multiply (inverse ?285862) (inverse (least_upper_bound identity (least_upper_bound (inverse ?285862) ?285862))) [285862] by Demod 242293 with 18 at 2,2,1,2
% 191.70/48.23 Id : 242701, {_}: inverse (multiply (least_upper_bound ?285862 identity) (least_upper_bound identity ?285862)) =<= inverse (multiply (least_upper_bound identity (least_upper_bound (inverse ?285862) ?285862)) ?285862) [285862] by Demod 242700 with 19 at 3
% 191.70/48.23 Id : 659, {_}: greatest_lower_bound ?1444 (greatest_lower_bound (least_upper_bound ?1445 ?1444) ?1446) =>= greatest_lower_bound ?1444 ?1446 [1446, 1445, 1444] by Super 7 with 136 at 1,3
% 191.70/48.23 Id : 19735, {_}: greatest_lower_bound (least_upper_bound ?30523 identity) (greatest_lower_bound ?30524 identity) =>= greatest_lower_bound ?30524 identity [30524, 30523] by Super 624 with 19292 at 1,2
% 191.70/48.23 Id : 19748, {_}: greatest_lower_bound (least_upper_bound identity ?30566) (greatest_lower_bound ?30567 identity) =>= greatest_lower_bound ?30567 identity [30567, 30566] by Super 19735 with 6 at 1,2
% 191.70/48.23 Id : 19944, {_}: greatest_lower_bound (least_upper_bound ?30753 (least_upper_bound identity ?30754)) identity =>= greatest_lower_bound (least_upper_bound identity ?30754) identity [30754, 30753] by Super 659 with 19748 at 2
% 191.70/48.23 Id : 20029, {_}: greatest_lower_bound identity (least_upper_bound ?30753 (least_upper_bound identity ?30754)) =>= greatest_lower_bound (least_upper_bound identity ?30754) identity [30754, 30753] by Demod 19944 with 5 at 2
% 191.70/48.23 Id : 20030, {_}: greatest_lower_bound identity (least_upper_bound ?30753 (least_upper_bound identity ?30754)) =>= greatest_lower_bound identity (least_upper_bound identity ?30754) [30754, 30753] by Demod 20029 with 5 at 3
% 191.70/48.23 Id : 20031, {_}: greatest_lower_bound identity (least_upper_bound ?30753 (least_upper_bound identity ?30754)) =>= identity [30754, 30753] by Demod 20030 with 12 at 3
% 191.70/48.23 Id : 20745, {_}: least_upper_bound identity (least_upper_bound ?31720 (least_upper_bound identity ?31721)) =>= least_upper_bound ?31720 (least_upper_bound identity ?31721) [31721, 31720] by Super 552 with 20031 at 1,2
% 191.70/48.23 Id : 20511, {_}: least_upper_bound identity (least_upper_bound ?31494 (least_upper_bound identity ?31495)) =>= least_upper_bound (least_upper_bound ?31494 identity) ?31495 [31495, 31494] by Super 1035 with 20325 at 2
% 191.70/48.23 Id : 20575, {_}: least_upper_bound identity (least_upper_bound ?31494 (least_upper_bound identity ?31495)) =>= least_upper_bound identity (least_upper_bound ?31494 ?31495) [31495, 31494] by Demod 20511 with 20325 at 3
% 191.70/48.23 Id : 21359, {_}: least_upper_bound identity (least_upper_bound ?31720 ?31721) =?= least_upper_bound ?31720 (least_upper_bound identity ?31721) [31721, 31720] by Demod 20745 with 20575 at 2
% 191.70/48.23 Id : 21441, {_}: multiply (least_upper_bound identity (least_upper_bound (inverse ?32650) ?32651)) ?32650 =>= least_upper_bound identity (multiply (least_upper_bound identity ?32651) ?32650) [32651, 32650] by Super 223 with 21359 at 1,2
% 191.70/48.23 Id : 242702, {_}: inverse (multiply (least_upper_bound ?285862 identity) (least_upper_bound identity ?285862)) =>= inverse (least_upper_bound identity (multiply (least_upper_bound identity ?285862) ?285862)) [285862] by Demod 242701 with 21441 at 1,3
% 191.70/48.23 Id : 242872, {_}: multiply (inverse (greatest_lower_bound identity (inverse (least_upper_bound identity (multiply (least_upper_bound identity ?286246) ?286246))))) (greatest_lower_bound (multiply (least_upper_bound ?286246 identity) (least_upper_bound identity ?286246)) identity) =>= multiply (least_upper_bound ?286246 identity) (least_upper_bound identity ?286246) [286246] by Super 84693 with 242702 at 2,1,1,2
% 191.70/48.23 Id : 243048, {_}: multiply (inverse (inverse (least_upper_bound identity (multiply (least_upper_bound identity ?286246) ?286246)))) (greatest_lower_bound (multiply (least_upper_bound ?286246 identity) (least_upper_bound identity ?286246)) identity) =>= multiply (least_upper_bound ?286246 identity) (least_upper_bound identity ?286246) [286246] by Demod 242872 with 25024 at 1,1,2
% 191.70/48.23 Id : 243049, {_}: multiply (inverse (inverse (least_upper_bound identity (multiply (least_upper_bound identity ?286246) ?286246)))) (greatest_lower_bound identity (multiply (least_upper_bound ?286246 identity) (least_upper_bound identity ?286246))) =>= multiply (least_upper_bound ?286246 identity) (least_upper_bound identity ?286246) [286246] by Demod 243048 with 5 at 2,2
% 191.70/48.23 Id : 243050, {_}: multiply (least_upper_bound identity (multiply (least_upper_bound identity ?286246) ?286246)) (greatest_lower_bound identity (multiply (least_upper_bound ?286246 identity) (least_upper_bound identity ?286246))) =>= multiply (least_upper_bound ?286246 identity) (least_upper_bound identity ?286246) [286246] by Demod 243049 with 18 at 1,2
% 191.70/48.23 Id : 369, {_}: multiply (greatest_lower_bound ?938 ?939) (inverse ?938) =>= greatest_lower_bound identity (multiply ?939 (inverse ?938)) [939, 938] by Super 16 with 281 at 1,3
% 191.70/48.23 Id : 979, {_}: greatest_lower_bound (least_upper_bound ?2001 ?2002) (greatest_lower_bound ?2002 ?2003) =>= greatest_lower_bound ?2002 ?2003 [2003, 2002, 2001] by Super 7 with 624 at 1,3
% 191.70/48.23 Id : 25224, {_}: greatest_lower_bound (least_upper_bound ?36697 identity) (inverse (least_upper_bound identity ?36698)) =>= greatest_lower_bound identity (inverse (least_upper_bound identity ?36698)) [36698, 36697] by Super 979 with 25024 at 2,2
% 191.70/48.23 Id : 25414, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?36698)) (least_upper_bound ?36697 identity) =>= greatest_lower_bound identity (inverse (least_upper_bound identity ?36698)) [36697, 36698] by Demod 25224 with 5 at 2
% 191.70/48.23 Id : 25415, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?36698)) (least_upper_bound ?36697 identity) =>= inverse (least_upper_bound identity ?36698) [36697, 36698] by Demod 25414 with 25024 at 3
% 191.70/48.23 Id : 34344, {_}: multiply (inverse (least_upper_bound identity ?47307)) (inverse (inverse (least_upper_bound identity ?47307))) =?= greatest_lower_bound identity (multiply (least_upper_bound ?47308 identity) (inverse (inverse (least_upper_bound identity ?47307)))) [47308, 47307] by Super 369 with 25415 at 1,2
% 191.70/48.23 Id : 34450, {_}: identity =<= greatest_lower_bound identity (multiply (least_upper_bound ?47308 identity) (inverse (inverse (least_upper_bound identity ?47307)))) [47307, 47308] by Demod 34344 with 281 at 2
% 191.70/48.23 Id : 34451, {_}: identity =<= greatest_lower_bound identity (multiply (least_upper_bound ?47308 identity) (least_upper_bound identity ?47307)) [47307, 47308] by Demod 34450 with 18 at 2,2,3
% 191.70/48.23 Id : 243051, {_}: multiply (least_upper_bound identity (multiply (least_upper_bound identity ?286246) ?286246)) identity =>= multiply (least_upper_bound ?286246 identity) (least_upper_bound identity ?286246) [286246] by Demod 243050 with 34451 at 2,2
% 191.70/48.23 Id : 243052, {_}: least_upper_bound identity (multiply (least_upper_bound identity ?286246) ?286246) =<= multiply (least_upper_bound ?286246 identity) (least_upper_bound identity ?286246) [286246] by Demod 243051 with 334 at 2
% 191.70/48.23 Id : 243930, {_}: multiply (least_upper_bound identity ?286602) (least_upper_bound identity ?286602) =<= least_upper_bound identity (least_upper_bound identity (multiply (least_upper_bound identity ?286602) ?286602)) [286602] by Super 38258 with 243052 at 2,3
% 191.70/48.23 Id : 244169, {_}: multiply (least_upper_bound identity ?286602) (least_upper_bound identity ?286602) =>= least_upper_bound identity (multiply (least_upper_bound identity ?286602) ?286602) [286602] by Demod 243930 with 95 at 3
% 191.70/48.23 Id : 244746, {_}: least_upper_bound identity ?287026 =<= multiply (inverse (least_upper_bound identity ?287026)) (least_upper_bound identity (multiply (least_upper_bound identity ?287026) ?287026)) [287026] by Super 2459 with 244169 at 2,3
% 191.70/48.23 Id : 376, {_}: multiply ?957 (least_upper_bound (inverse ?957) ?958) =>= least_upper_bound identity (multiply ?957 ?958) [958, 957] by Super 13 with 281 at 1,3
% 191.70/48.23 Id : 2650, {_}: least_upper_bound (inverse ?4648) ?4649 =<= multiply (inverse ?4648) (least_upper_bound identity (multiply ?4648 ?4649)) [4649, 4648] by Super 2635 with 376 at 2,3
% 191.70/48.23 Id : 245019, {_}: least_upper_bound identity ?287026 =<= least_upper_bound (inverse (least_upper_bound identity ?287026)) ?287026 [287026] by Demod 244746 with 2650 at 3
% 191.70/48.23 Id : 1972, {_}: multiply (least_upper_bound ?3583 ?3584) (inverse ?3583) =>= least_upper_bound identity (multiply ?3584 (inverse ?3583)) [3584, 3583] by Super 15 with 281 at 1,3
% 191.70/48.23 Id : 108030, {_}: multiply ?117794 (inverse (greatest_lower_bound ?117794 ?117795)) =<= least_upper_bound identity (multiply ?117794 (inverse (greatest_lower_bound ?117794 ?117795))) [117795, 117794] by Super 1972 with 111 at 1,2
% 191.70/48.23 Id : 108031, {_}: multiply ?117797 (inverse (greatest_lower_bound ?117797 ?117798)) =<= least_upper_bound identity (multiply ?117797 (inverse (greatest_lower_bound ?117798 ?117797))) [117798, 117797] by Super 108030 with 5 at 1,2,2,3
% 191.70/48.23 Id : 1986, {_}: multiply ?3626 (inverse (greatest_lower_bound ?3627 ?3626)) =<= least_upper_bound identity (multiply ?3626 (inverse (greatest_lower_bound ?3627 ?3626))) [3627, 3626] by Super 1972 with 552 at 1,2
% 191.70/48.23 Id : 275229, {_}: multiply ?117797 (inverse (greatest_lower_bound ?117797 ?117798)) =?= multiply ?117797 (inverse (greatest_lower_bound ?117798 ?117797)) [117798, 117797] by Demod 108031 with 1986 at 3
% 191.70/48.23 Id : 416210, {_}: multiply (inverse ?452336) (inverse (greatest_lower_bound (inverse ?452336) identity)) =>= multiply (inverse ?452336) (inverse (inverse (least_upper_bound identity ?452336))) [452336] by Super 275229 with 415158 at 1,2,2
% 191.70/48.23 Id : 416315, {_}: multiply (inverse ?452336) (inverse (greatest_lower_bound identity (inverse ?452336))) =>= multiply (inverse ?452336) (inverse (inverse (least_upper_bound identity ?452336))) [452336] by Demod 416210 with 275229 at 2
% 191.70/48.24 Id : 416316, {_}: multiply (inverse ?452336) (inverse (greatest_lower_bound identity (inverse ?452336))) =>= inverse (multiply (inverse (least_upper_bound identity ?452336)) ?452336) [452336] by Demod 416315 with 19 at 3
% 191.70/48.24 Id : 416317, {_}: inverse (multiply (greatest_lower_bound identity (inverse ?452336)) ?452336) =>= inverse (multiply (inverse (least_upper_bound identity ?452336)) ?452336) [452336] by Demod 416316 with 19 at 2
% 191.70/48.24 Id : 416318, {_}: inverse (multiply (greatest_lower_bound identity (inverse ?452336)) ?452336) =>= multiply (inverse ?452336) (least_upper_bound identity ?452336) [452336] by Demod 416317 with 300 at 3
% 191.70/48.24 Id : 251, {_}: multiply (greatest_lower_bound ?736 (inverse ?737)) ?737 =>= greatest_lower_bound (multiply ?736 ?737) identity [737, 736] by Super 249 with 3 at 2,3
% 191.70/48.24 Id : 271, {_}: multiply (greatest_lower_bound ?736 (inverse ?737)) ?737 =>= greatest_lower_bound identity (multiply ?736 ?737) [737, 736] by Demod 251 with 5 at 3
% 191.70/48.24 Id : 416319, {_}: inverse (greatest_lower_bound identity (multiply identity ?452336)) =<= multiply (inverse ?452336) (least_upper_bound identity ?452336) [452336] by Demod 416318 with 271 at 1,2
% 191.70/48.24 Id : 156, {_}: multiply (inverse ?514) (least_upper_bound ?515 ?514) =>= least_upper_bound (multiply (inverse ?514) ?515) identity [515, 514] by Super 154 with 3 at 2,3
% 191.70/48.24 Id : 173, {_}: multiply (inverse ?514) (least_upper_bound ?515 ?514) =>= least_upper_bound identity (multiply (inverse ?514) ?515) [515, 514] by Demod 156 with 6 at 3
% 191.70/48.24 Id : 416320, {_}: inverse (greatest_lower_bound identity (multiply identity ?452336)) =<= least_upper_bound identity (multiply (inverse ?452336) identity) [452336] by Demod 416319 with 173 at 3
% 191.70/48.24 Id : 416321, {_}: inverse (greatest_lower_bound identity ?452336) =<= least_upper_bound identity (multiply (inverse ?452336) identity) [452336] by Demod 416320 with 2 at 2,1,2
% 191.70/48.24 Id : 416322, {_}: inverse (greatest_lower_bound identity ?452336) =<= least_upper_bound identity (inverse ?452336) [452336] by Demod 416321 with 334 at 2,3
% 191.70/48.24 Id : 417237, {_}: least_upper_bound identity (inverse ?452973) =<= least_upper_bound (inverse (inverse (greatest_lower_bound identity ?452973))) (inverse ?452973) [452973] by Super 245019 with 416322 at 1,1,3
% 191.70/48.24 Id : 417441, {_}: inverse (greatest_lower_bound identity ?452973) =<= least_upper_bound (inverse (inverse (greatest_lower_bound identity ?452973))) (inverse ?452973) [452973] by Demod 417237 with 416322 at 2
% 191.70/48.24 Id : 417442, {_}: inverse (greatest_lower_bound identity ?452973) =<= least_upper_bound (greatest_lower_bound identity ?452973) (inverse ?452973) [452973] by Demod 417441 with 18 at 1,3
% 191.70/48.24 Id : 421452, {_}: inverse (greatest_lower_bound identity ?456111) =<= least_upper_bound (inverse ?456111) (greatest_lower_bound identity ?456111) [456111] by Demod 417442 with 6 at 3
% 191.70/48.24 Id : 421453, {_}: inverse (greatest_lower_bound identity ?456113) =<= least_upper_bound (inverse ?456113) (greatest_lower_bound ?456113 identity) [456113] by Super 421452 with 5 at 2,3
% 191.70/48.24 Id : 424541, {_}: multiply (greatest_lower_bound ?457538 identity) (inverse (least_upper_bound (greatest_lower_bound ?457538 identity) (inverse ?457538))) =>= multiply (greatest_lower_bound ?457538 identity) (inverse (inverse (greatest_lower_bound identity ?457538))) [457538] by Super 273616 with 421453 at 1,2,2
% 191.70/48.24 Id : 424653, {_}: multiply (greatest_lower_bound ?457538 identity) (inverse (least_upper_bound (inverse ?457538) (greatest_lower_bound ?457538 identity))) =>= multiply (greatest_lower_bound ?457538 identity) (inverse (inverse (greatest_lower_bound identity ?457538))) [457538] by Demod 424541 with 273616 at 2
% 191.70/48.24 Id : 424654, {_}: multiply (greatest_lower_bound ?457538 identity) (inverse (least_upper_bound (inverse ?457538) (greatest_lower_bound ?457538 identity))) =>= multiply (greatest_lower_bound ?457538 identity) (greatest_lower_bound identity ?457538) [457538] by Demod 424653 with 18 at 2,3
% 191.70/48.24 Id : 77381, {_}: ?86904 =<= least_upper_bound ?86904 (inverse (least_upper_bound ?86905 (inverse ?86904))) [86905, 86904] by Demod 63212 with 2 at 2
% 191.70/48.24 Id : 77383, {_}: inverse ?86909 =<= least_upper_bound (inverse ?86909) (inverse (least_upper_bound ?86910 ?86909)) [86910, 86909] by Super 77381 with 18 at 2,1,2,3
% 191.70/48.24 Id : 93995, {_}: multiply (inverse (least_upper_bound (inverse ?102094) (inverse (least_upper_bound ?102095 ?102094)))) (inverse (least_upper_bound ?102095 ?102094)) =>= greatest_lower_bound identity (multiply (inverse (inverse ?102094)) (inverse (least_upper_bound ?102095 ?102094))) [102095, 102094] by Super 1381 with 77383 at 1,1,2,3
% 191.70/48.24 Id : 94321, {_}: inverse (multiply (least_upper_bound ?102095 ?102094) (least_upper_bound (inverse ?102094) (inverse (least_upper_bound ?102095 ?102094)))) =>= greatest_lower_bound identity (multiply (inverse (inverse ?102094)) (inverse (least_upper_bound ?102095 ?102094))) [102094, 102095] by Demod 93995 with 19 at 2
% 191.70/48.24 Id : 94322, {_}: inverse (multiply (least_upper_bound ?102095 ?102094) (least_upper_bound (inverse ?102094) (inverse (least_upper_bound ?102095 ?102094)))) =>= greatest_lower_bound identity (inverse (multiply (least_upper_bound ?102095 ?102094) (inverse ?102094))) [102094, 102095] by Demod 94321 with 19 at 2,3
% 191.70/48.24 Id : 94323, {_}: inverse (least_upper_bound identity (multiply (least_upper_bound ?102095 ?102094) (inverse ?102094))) =<= greatest_lower_bound identity (inverse (multiply (least_upper_bound ?102095 ?102094) (inverse ?102094))) [102094, 102095] by Demod 94322 with 390 at 1,2
% 191.70/48.24 Id : 94324, {_}: inverse (least_upper_bound identity (multiply (least_upper_bound ?102095 ?102094) (inverse ?102094))) =>= greatest_lower_bound identity (multiply ?102094 (inverse (least_upper_bound ?102095 ?102094))) [102094, 102095] by Demod 94323 with 302 at 2,3
% 191.70/48.24 Id : 94325, {_}: inverse (least_upper_bound identity (least_upper_bound identity (multiply ?102095 (inverse ?102094)))) =?= greatest_lower_bound identity (multiply ?102094 (inverse (least_upper_bound ?102095 ?102094))) [102094, 102095] by Demod 94324 with 389 at 2,1,2
% 191.70/48.24 Id : 94326, {_}: inverse (least_upper_bound identity (multiply ?102095 (inverse ?102094))) =<= greatest_lower_bound identity (multiply ?102094 (inverse (least_upper_bound ?102095 ?102094))) [102094, 102095] by Demod 94325 with 95 at 1,2
% 191.70/48.24 Id : 264571, {_}: inverse (least_upper_bound identity (multiply ?102095 (inverse ?102094))) =?= multiply ?102094 (inverse (least_upper_bound ?102095 ?102094)) [102094, 102095] by Demod 94326 with 1776 at 3
% 191.70/48.24 Id : 424655, {_}: inverse (least_upper_bound identity (multiply (inverse ?457538) (inverse (greatest_lower_bound ?457538 identity)))) =>= multiply (greatest_lower_bound ?457538 identity) (greatest_lower_bound identity ?457538) [457538] by Demod 424654 with 264571 at 2
% 191.70/48.24 Id : 424656, {_}: inverse (least_upper_bound identity (inverse (multiply (greatest_lower_bound ?457538 identity) ?457538))) =>= multiply (greatest_lower_bound ?457538 identity) (greatest_lower_bound identity ?457538) [457538] by Demod 424655 with 19 at 2,1,2
% 191.70/48.24 Id : 424657, {_}: inverse (inverse (greatest_lower_bound identity (multiply (greatest_lower_bound ?457538 identity) ?457538))) =>= multiply (greatest_lower_bound ?457538 identity) (greatest_lower_bound identity ?457538) [457538] by Demod 424656 with 416322 at 1,2
% 191.70/48.24 Id : 424658, {_}: greatest_lower_bound identity (multiply (greatest_lower_bound ?457538 identity) ?457538) =<= multiply (greatest_lower_bound ?457538 identity) (greatest_lower_bound identity ?457538) [457538] by Demod 424657 with 18 at 2
% 191.70/48.24 Id : 464062, {_}: multiply (least_upper_bound identity ?483643) (inverse (greatest_lower_bound ?483643 identity)) =<= multiply ?483643 (inverse (greatest_lower_bound identity (multiply (greatest_lower_bound ?483643 identity) ?483643))) [483643] by Super 415963 with 424658 at 1,2,3
% 191.70/48.24 Id : 1187, {_}: inverse ?2298 =<= multiply ?2299 (inverse (multiply ?2298 (inverse (inverse ?2299)))) [2299, 2298] by Super 302 with 1186 at 1,2
% 191.70/48.24 Id : 1218, {_}: inverse ?2298 =<= multiply ?2299 (multiply (inverse ?2299) (inverse ?2298)) [2299, 2298] by Demod 1187 with 302 at 2,3
% 191.70/48.24 Id : 2516, {_}: inverse ?4451 =<= multiply ?4452 (inverse (multiply ?4451 ?4452)) [4452, 4451] by Demod 1218 with 19 at 2,3
% 191.70/48.24 Id : 255, {_}: multiply (greatest_lower_bound (inverse ?752) ?753) ?752 =>= greatest_lower_bound identity (multiply ?753 ?752) [753, 752] by Super 249 with 3 at 1,3
% 191.70/48.24 Id : 2526, {_}: inverse (greatest_lower_bound (inverse ?4480) ?4481) =<= multiply ?4480 (inverse (greatest_lower_bound identity (multiply ?4481 ?4480))) [4481, 4480] by Super 2516 with 255 at 1,2,3
% 191.70/48.24 Id : 63206, {_}: multiply (least_upper_bound identity (inverse (multiply ?77243 ?77244))) ?77243 =>= least_upper_bound ?77243 (inverse ?77244) [77244, 77243] by Super 63166 with 19 at 2,1,2
% 191.70/48.24 Id : 416926, {_}: multiply (inverse (greatest_lower_bound identity (multiply ?77243 ?77244))) ?77243 =>= least_upper_bound ?77243 (inverse ?77244) [77244, 77243] by Demod 63206 with 416322 at 1,2
% 191.70/48.24 Id : 2426, {_}: multiply (inverse (multiply ?4299 ?4300)) ?4299 =>= inverse ?4300 [4300, 4299] by Super 1201 with 19 at 1,2
% 191.70/48.24 Id : 2440, {_}: multiply (inverse (greatest_lower_bound identity (multiply ?4339 ?4340))) ?4339 =>= inverse (greatest_lower_bound (inverse ?4339) ?4340) [4340, 4339] by Super 2426 with 371 at 1,1,2
% 191.70/48.24 Id : 417007, {_}: inverse (greatest_lower_bound (inverse ?77243) ?77244) =>= least_upper_bound ?77243 (inverse ?77244) [77244, 77243] by Demod 416926 with 2440 at 2
% 191.70/48.24 Id : 417019, {_}: least_upper_bound ?4480 (inverse ?4481) =<= multiply ?4480 (inverse (greatest_lower_bound identity (multiply ?4481 ?4480))) [4481, 4480] by Demod 2526 with 417007 at 2
% 191.70/48.24 Id : 464501, {_}: multiply (least_upper_bound identity ?483643) (inverse (greatest_lower_bound ?483643 identity)) =>= least_upper_bound ?483643 (inverse (greatest_lower_bound ?483643 identity)) [483643] by Demod 464062 with 417019 at 3
% 191.70/48.24 Id : 4590, {_}: least_upper_bound ?8578 (least_upper_bound (greatest_lower_bound ?8579 ?8578) ?8580) =>= least_upper_bound ?8578 ?8580 [8580, 8579, 8578] by Super 8 with 118 at 1,3
% 191.70/48.24 Id : 4609, {_}: least_upper_bound ?8658 (least_upper_bound ?8659 (greatest_lower_bound ?8660 ?8658)) =>= least_upper_bound ?8658 ?8659 [8660, 8659, 8658] by Super 4590 with 6 at 2,2
% 191.70/48.24 Id : 417443, {_}: inverse (greatest_lower_bound identity ?452973) =<= least_upper_bound (inverse ?452973) (greatest_lower_bound identity ?452973) [452973] by Demod 417442 with 6 at 3
% 191.70/48.24 Id : 422606, {_}: least_upper_bound ?456990 (inverse (greatest_lower_bound identity ?456990)) =>= least_upper_bound ?456990 (inverse ?456990) [456990] by Super 4609 with 417443 at 2,2
% 191.70/48.24 Id : 422607, {_}: least_upper_bound ?456992 (inverse (greatest_lower_bound ?456992 identity)) =>= least_upper_bound ?456992 (inverse ?456992) [456992] by Super 422606 with 5 at 1,2,2
% 191.70/48.24 Id : 497912, {_}: multiply (least_upper_bound identity ?511211) (inverse (greatest_lower_bound ?511211 identity)) =>= least_upper_bound ?511211 (inverse ?511211) [511211] by Demod 464501 with 422607 at 3
% 191.70/48.24 Id : 497961, {_}: multiply (least_upper_bound ?511329 identity) (inverse (greatest_lower_bound ?511329 identity)) =>= least_upper_bound ?511329 (inverse ?511329) [511329] by Super 497912 with 6 at 1,2
% 191.70/48.24 Id : 78497, {_}: least_upper_bound (inverse (greatest_lower_bound (inverse ?88085) ?88086)) ?88085 =>= inverse (greatest_lower_bound (inverse ?88085) ?88086) [88086, 88085] by Super 6 with 63310 at 3
% 191.70/48.26 Id : 78499, {_}: least_upper_bound (inverse (greatest_lower_bound ?88090 ?88091)) (inverse ?88090) =>= inverse (greatest_lower_bound (inverse (inverse ?88090)) ?88091) [88091, 88090] by Super 78497 with 18 at 1,1,1,2
% 191.70/48.26 Id : 78904, {_}: least_upper_bound (inverse (greatest_lower_bound ?88090 ?88091)) (inverse ?88090) =>= inverse (greatest_lower_bound ?88090 ?88091) [88091, 88090] by Demod 78499 with 18 at 1,1,3
% 191.70/48.26 Id : 111898, {_}: multiply (greatest_lower_bound identity (multiply ?120994 ?120995)) (inverse ?120995) =>= greatest_lower_bound (inverse ?120995) ?120994 [120995, 120994] by Super 2199 with 255 at 1,2
% 191.70/48.27 Id : 111938, {_}: multiply (greatest_lower_bound identity ?121130) (inverse ?121131) =<= greatest_lower_bound (inverse ?121131) (multiply ?121130 (inverse ?121131)) [121131, 121130] by Super 111898 with 1186 at 2,1,2
% 191.70/48.27 Id : 112261, {_}: least_upper_bound (inverse (multiply (greatest_lower_bound identity ?121459) (inverse ?121460))) (inverse (inverse ?121460)) =>= inverse (greatest_lower_bound (inverse ?121460) (multiply ?121459 (inverse ?121460))) [121460, 121459] by Super 78904 with 111938 at 1,1,2
% 191.70/48.27 Id : 112359, {_}: least_upper_bound (inverse (inverse ?121460)) (inverse (multiply (greatest_lower_bound identity ?121459) (inverse ?121460))) =>= inverse (greatest_lower_bound (inverse ?121460) (multiply ?121459 (inverse ?121460))) [121459, 121460] by Demod 112261 with 6 at 2
% 191.70/48.27 Id : 112360, {_}: least_upper_bound (inverse (inverse ?121460)) (inverse (multiply (greatest_lower_bound identity ?121459) (inverse ?121460))) =>= inverse (multiply (greatest_lower_bound identity ?121459) (inverse ?121460)) [121459, 121460] by Demod 112359 with 111938 at 1,3
% 191.70/48.27 Id : 112361, {_}: least_upper_bound ?121460 (inverse (multiply (greatest_lower_bound identity ?121459) (inverse ?121460))) =>= inverse (multiply (greatest_lower_bound identity ?121459) (inverse ?121460)) [121459, 121460] by Demod 112360 with 18 at 1,2
% 191.70/48.27 Id : 112362, {_}: least_upper_bound ?121460 (multiply ?121460 (inverse (greatest_lower_bound identity ?121459))) =>= inverse (multiply (greatest_lower_bound identity ?121459) (inverse ?121460)) [121459, 121460] by Demod 112361 with 302 at 2,2
% 191.70/48.27 Id : 304074, {_}: least_upper_bound ?337688 (multiply ?337688 (inverse (greatest_lower_bound identity ?337689))) =>= multiply ?337688 (inverse (greatest_lower_bound identity ?337689)) [337689, 337688] by Demod 112362 with 302 at 3
% 191.70/48.27 Id : 63314, {_}: ?77257 =<= least_upper_bound ?77257 (inverse (least_upper_bound (inverse ?77257) ?77258)) [77258, 77257] by Demod 63211 with 2 at 2
% 191.70/48.27 Id : 70542, {_}: greatest_lower_bound ?82336 (inverse (least_upper_bound (inverse ?82336) ?82337)) =>= inverse (least_upper_bound (inverse ?82336) ?82337) [82337, 82336] by Super 624 with 63314 at 1,2
% 191.70/48.27 Id : 304113, {_}: least_upper_bound ?337832 (multiply ?337832 (inverse (inverse (least_upper_bound (inverse identity) ?337833)))) =?= multiply ?337832 (inverse (greatest_lower_bound identity (inverse (least_upper_bound (inverse identity) ?337833)))) [337833, 337832] by Super 304074 with 70542 at 1,2,2,2
% 191.70/48.27 Id : 305244, {_}: least_upper_bound ?337832 (multiply ?337832 (least_upper_bound (inverse identity) ?337833)) =?= multiply ?337832 (inverse (greatest_lower_bound identity (inverse (least_upper_bound (inverse identity) ?337833)))) [337833, 337832] by Demod 304113 with 18 at 2,2,2
% 191.70/48.27 Id : 305245, {_}: least_upper_bound ?337832 (multiply ?337832 (least_upper_bound (inverse identity) ?337833)) =?= multiply ?337832 (inverse (inverse (least_upper_bound (inverse identity) ?337833))) [337833, 337832] by Demod 305244 with 70542 at 1,2,3
% 191.70/48.27 Id : 305246, {_}: least_upper_bound ?337832 (multiply ?337832 (least_upper_bound identity ?337833)) =?= multiply ?337832 (inverse (inverse (least_upper_bound (inverse identity) ?337833))) [337833, 337832] by Demod 305245 with 17 at 1,2,2,2
% 191.70/48.27 Id : 305247, {_}: least_upper_bound ?337832 (multiply ?337832 (least_upper_bound identity ?337833)) =>= multiply ?337832 (least_upper_bound (inverse identity) ?337833) [337833, 337832] by Demod 305246 with 18 at 2,3
% 191.70/48.27 Id : 305907, {_}: least_upper_bound ?339011 (multiply ?339011 (least_upper_bound identity ?339012)) =>= multiply ?339011 (least_upper_bound identity ?339012) [339012, 339011] by Demod 305247 with 17 at 1,2,3
% 191.70/48.27 Id : 305908, {_}: least_upper_bound ?339014 (multiply ?339014 (least_upper_bound ?339015 identity)) =>= multiply ?339014 (least_upper_bound identity ?339015) [339015, 339014] by Super 305907 with 6 at 2,2,2
% 191.70/48.27 Id : 77311, {_}: greatest_lower_bound ?86701 (inverse (least_upper_bound ?86702 (inverse ?86701))) =>= inverse (least_upper_bound ?86702 (inverse ?86701)) [86702, 86701] by Super 624 with 63315 at 1,2
% 191.70/48.27 Id : 304114, {_}: least_upper_bound ?337835 (multiply ?337835 (inverse (inverse (least_upper_bound ?337836 (inverse identity))))) =?= multiply ?337835 (inverse (greatest_lower_bound identity (inverse (least_upper_bound ?337836 (inverse identity))))) [337836, 337835] by Super 304074 with 77311 at 1,2,2,2
% 191.70/48.27 Id : 305249, {_}: least_upper_bound ?337835 (multiply ?337835 (least_upper_bound ?337836 (inverse identity))) =?= multiply ?337835 (inverse (greatest_lower_bound identity (inverse (least_upper_bound ?337836 (inverse identity))))) [337836, 337835] by Demod 304114 with 18 at 2,2,2
% 191.70/48.27 Id : 305250, {_}: least_upper_bound ?337835 (multiply ?337835 (least_upper_bound ?337836 (inverse identity))) =?= multiply ?337835 (inverse (inverse (least_upper_bound ?337836 (inverse identity)))) [337836, 337835] by Demod 305249 with 77311 at 1,2,3
% 191.70/48.27 Id : 305251, {_}: least_upper_bound ?337835 (multiply ?337835 (least_upper_bound ?337836 identity)) =?= multiply ?337835 (inverse (inverse (least_upper_bound ?337836 (inverse identity)))) [337836, 337835] by Demod 305250 with 17 at 2,2,2,2
% 191.70/48.27 Id : 305252, {_}: least_upper_bound ?337835 (multiply ?337835 (least_upper_bound ?337836 identity)) =>= multiply ?337835 (least_upper_bound ?337836 (inverse identity)) [337836, 337835] by Demod 305251 with 18 at 2,3
% 191.70/48.27 Id : 305253, {_}: least_upper_bound ?337835 (multiply ?337835 (least_upper_bound ?337836 identity)) =>= multiply ?337835 (least_upper_bound ?337836 identity) [337836, 337835] by Demod 305252 with 17 at 2,2,3
% 191.70/48.27 Id : 313376, {_}: multiply ?339014 (least_upper_bound ?339015 identity) =?= multiply ?339014 (least_upper_bound identity ?339015) [339015, 339014] by Demod 305908 with 305253 at 2
% 191.70/48.27 Id : 112676, {_}: multiply (inverse (greatest_lower_bound identity (multiply ?121842 ?121843))) ?121842 =>= inverse (greatest_lower_bound (inverse ?121842) ?121843) [121843, 121842] by Super 2426 with 371 at 1,1,2
% 191.70/48.27 Id : 112716, {_}: multiply (inverse (greatest_lower_bound identity ?121954)) ?121954 =>= inverse (greatest_lower_bound (inverse ?121954) identity) [121954] by Super 112676 with 334 at 2,1,1,2
% 191.70/48.27 Id : 63440, {_}: inverse (greatest_lower_bound (inverse ?77638) ?77639) =<= least_upper_bound ?77638 (inverse (greatest_lower_bound (inverse ?77638) ?77639)) [77639, 77638] by Demod 63309 with 1211 at 2
% 191.70/48.27 Id : 63442, {_}: inverse (greatest_lower_bound (inverse (inverse ?77643)) ?77644) =<= least_upper_bound (inverse ?77643) (inverse (greatest_lower_bound ?77643 ?77644)) [77644, 77643] by Super 63440 with 18 at 1,1,2,3
% 191.70/48.27 Id : 82606, {_}: inverse (greatest_lower_bound ?92666 ?92667) =<= least_upper_bound (inverse ?92666) (inverse (greatest_lower_bound ?92666 ?92667)) [92667, 92666] by Demod 63442 with 18 at 1,1,2
% 191.70/48.27 Id : 82607, {_}: inverse (greatest_lower_bound ?92669 ?92670) =<= least_upper_bound (inverse ?92669) (inverse (greatest_lower_bound ?92670 ?92669)) [92670, 92669] by Super 82606 with 5 at 1,2,3
% 191.70/48.27 Id : 1254, {_}: multiply (inverse (greatest_lower_bound ?2467 ?2468)) ?2468 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?2467 ?2468)) ?2468) [2468, 2467] by Super 1244 with 552 at 2,2
% 191.70/48.27 Id : 63210, {_}: multiply (multiply (inverse (greatest_lower_bound ?77254 (inverse ?77255))) (inverse ?77255)) ?77255 =>= least_upper_bound ?77255 (inverse (greatest_lower_bound ?77254 (inverse ?77255))) [77255, 77254] by Super 63166 with 1254 at 1,2
% 191.70/48.27 Id : 63311, {_}: multiply (inverse (greatest_lower_bound ?77254 (inverse ?77255))) (multiply (inverse ?77255) ?77255) =>= least_upper_bound ?77255 (inverse (greatest_lower_bound ?77254 (inverse ?77255))) [77255, 77254] by Demod 63210 with 4 at 2
% 191.70/48.27 Id : 63312, {_}: multiply (inverse (multiply ?77255 (greatest_lower_bound ?77254 (inverse ?77255)))) ?77255 =>= least_upper_bound ?77255 (inverse (greatest_lower_bound ?77254 (inverse ?77255))) [77254, 77255] by Demod 63311 with 423 at 2
% 191.70/48.27 Id : 69999, {_}: inverse (greatest_lower_bound ?81946 (inverse ?81947)) =<= least_upper_bound ?81947 (inverse (greatest_lower_bound ?81946 (inverse ?81947))) [81947, 81946] by Demod 63312 with 1211 at 2
% 191.70/48.27 Id : 70001, {_}: inverse (greatest_lower_bound ?81951 (inverse (inverse ?81952))) =<= least_upper_bound (inverse ?81952) (inverse (greatest_lower_bound ?81951 ?81952)) [81952, 81951] by Super 69999 with 18 at 2,1,2,3
% 191.70/48.27 Id : 70316, {_}: inverse (greatest_lower_bound ?81951 ?81952) =<= least_upper_bound (inverse ?81952) (inverse (greatest_lower_bound ?81951 ?81952)) [81952, 81951] by Demod 70001 with 18 at 2,1,2
% 191.70/48.27 Id : 96446, {_}: inverse (greatest_lower_bound ?92669 ?92670) =?= inverse (greatest_lower_bound ?92670 ?92669) [92670, 92669] by Demod 82607 with 70316 at 3
% 191.70/48.27 Id : 112934, {_}: multiply (inverse (greatest_lower_bound identity ?121954)) ?121954 =>= inverse (greatest_lower_bound identity (inverse ?121954)) [121954] by Demod 112716 with 96446 at 3
% 191.70/48.27 Id : 113027, {_}: multiply (inverse (multiply (greatest_lower_bound identity ?122041) ?122042)) ?122041 =?= multiply (inverse ?122042) (inverse (greatest_lower_bound identity (inverse ?122041))) [122042, 122041] by Super 423 with 112934 at 2,3
% 191.70/48.27 Id : 113204, {_}: multiply (inverse (multiply (greatest_lower_bound identity ?122041) ?122042)) ?122041 =>= inverse (multiply (greatest_lower_bound identity (inverse ?122041)) ?122042) [122042, 122041] by Demod 113027 with 19 at 3
% 191.70/48.27 Id : 415900, {_}: multiply (inverse (multiply (greatest_lower_bound identity ?122041) ?122042)) ?122041 =>= inverse (multiply (inverse (least_upper_bound identity ?122041)) ?122042) [122042, 122041] by Demod 113204 with 415158 at 1,1,3
% 191.70/48.27 Id : 415950, {_}: multiply (inverse (multiply (greatest_lower_bound identity ?122041) ?122042)) ?122041 =>= multiply (inverse ?122042) (least_upper_bound identity ?122041) [122042, 122041] by Demod 415900 with 300 at 3
% 191.70/48.27 Id : 60864, {_}: multiply (inverse (least_upper_bound ?75015 ?75016)) ?75015 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?75015 ?75016)) ?75015) [75016, 75015] by Super 1371 with 128 at 2,2
% 191.70/48.27 Id : 60865, {_}: multiply (inverse (least_upper_bound ?75018 ?75019)) ?75018 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?75019 ?75018)) ?75018) [75019, 75018] by Super 60864 with 6 at 1,1,2,3
% 191.70/48.27 Id : 212955, {_}: multiply (inverse (least_upper_bound ?75018 ?75019)) ?75018 =?= multiply (inverse (least_upper_bound ?75019 ?75018)) ?75018 [75019, 75018] by Demod 60865 with 1381 at 3
% 191.70/48.27 Id : 424540, {_}: multiply (inverse (least_upper_bound (greatest_lower_bound ?457536 identity) (inverse ?457536))) (greatest_lower_bound ?457536 identity) =>= multiply (inverse (inverse (greatest_lower_bound identity ?457536))) (greatest_lower_bound ?457536 identity) [457536] by Super 212955 with 421453 at 1,1,2
% 191.70/48.27 Id : 424659, {_}: multiply (inverse (least_upper_bound (inverse ?457536) (greatest_lower_bound ?457536 identity))) (greatest_lower_bound ?457536 identity) =>= multiply (inverse (inverse (greatest_lower_bound identity ?457536))) (greatest_lower_bound ?457536 identity) [457536] by Demod 424540 with 212955 at 2
% 191.70/48.27 Id : 424660, {_}: multiply (inverse (least_upper_bound (inverse ?457536) (greatest_lower_bound ?457536 identity))) (greatest_lower_bound ?457536 identity) =>= multiply (greatest_lower_bound identity ?457536) (greatest_lower_bound ?457536 identity) [457536] by Demod 424659 with 18 at 1,3
% 191.70/48.27 Id : 115045, {_}: greatest_lower_bound (inverse ?123648) ?123649 =<= multiply (inverse ?123648) (greatest_lower_bound identity (multiply ?123648 ?123649)) [123649, 123648] by Super 2635 with 371 at 2,3
% 191.70/48.27 Id : 115087, {_}: greatest_lower_bound (inverse (inverse ?123764)) (inverse ?123765) =<= multiply (inverse (inverse ?123764)) (greatest_lower_bound identity (inverse (multiply ?123765 ?123764))) [123765, 123764] by Super 115045 with 19 at 2,2,3
% 191.70/48.27 Id : 115268, {_}: greatest_lower_bound ?123764 (inverse ?123765) =<= multiply (inverse (inverse ?123764)) (greatest_lower_bound identity (inverse (multiply ?123765 ?123764))) [123765, 123764] by Demod 115087 with 18 at 1,2
% 191.70/48.27 Id : 115269, {_}: greatest_lower_bound ?123764 (inverse ?123765) =<= multiply ?123764 (greatest_lower_bound identity (inverse (multiply ?123765 ?123764))) [123765, 123764] by Demod 115268 with 18 at 1,3
% 191.70/48.27 Id : 415903, {_}: greatest_lower_bound ?123764 (inverse ?123765) =<= multiply ?123764 (inverse (least_upper_bound identity (multiply ?123765 ?123764))) [123765, 123764] by Demod 115269 with 415158 at 2,3
% 191.70/48.27 Id : 2524, {_}: inverse (least_upper_bound (inverse ?4474) ?4475) =<= multiply ?4474 (inverse (least_upper_bound identity (multiply ?4475 ?4474))) [4475, 4474] by Super 2516 with 223 at 1,2,3
% 191.70/48.27 Id : 415906, {_}: greatest_lower_bound ?123764 (inverse ?123765) =<= inverse (least_upper_bound (inverse ?123764) ?123765) [123765, 123764] by Demod 415903 with 2524 at 3
% 191.70/48.27 Id : 424661, {_}: multiply (greatest_lower_bound ?457536 (inverse (greatest_lower_bound ?457536 identity))) (greatest_lower_bound ?457536 identity) =>= multiply (greatest_lower_bound identity ?457536) (greatest_lower_bound ?457536 identity) [457536] by Demod 424660 with 415906 at 1,2
% 191.70/48.27 Id : 424662, {_}: greatest_lower_bound identity (multiply ?457536 (greatest_lower_bound ?457536 identity)) =<= multiply (greatest_lower_bound identity ?457536) (greatest_lower_bound ?457536 identity) [457536] by Demod 424661 with 271 at 2
% 191.70/48.27 Id : 465516, {_}: multiply (inverse (greatest_lower_bound identity (multiply ?484207 (greatest_lower_bound ?484207 identity)))) ?484207 =>= multiply (inverse (greatest_lower_bound ?484207 identity)) (least_upper_bound identity ?484207) [484207] by Super 415950 with 424662 at 1,1,2
% 191.70/48.27 Id : 417012, {_}: multiply (inverse (greatest_lower_bound identity (multiply ?4339 ?4340))) ?4339 =>= least_upper_bound ?4339 (inverse ?4340) [4340, 4339] by Demod 2440 with 417007 at 3
% 191.70/48.27 Id : 465720, {_}: least_upper_bound ?484207 (inverse (greatest_lower_bound ?484207 identity)) =<= multiply (inverse (greatest_lower_bound ?484207 identity)) (least_upper_bound identity ?484207) [484207] by Demod 465516 with 417012 at 2
% 191.70/48.27 Id : 465721, {_}: least_upper_bound ?484207 (inverse ?484207) =<= multiply (inverse (greatest_lower_bound ?484207 identity)) (least_upper_bound identity ?484207) [484207] by Demod 465720 with 422607 at 2
% 191.70/48.27 Id : 499320, {_}: multiply (inverse (greatest_lower_bound ?511590 identity)) (least_upper_bound ?511590 identity) =>= least_upper_bound ?511590 (inverse ?511590) [511590] by Super 313376 with 465721 at 3
% 191.70/48.27 Id : 542329, {_}: least_upper_bound a (inverse a) === least_upper_bound a (inverse a) [] by Demod 542328 with 499320 at 3
% 191.70/48.27 Id : 542328, {_}: least_upper_bound a (inverse a) =<= multiply (inverse (greatest_lower_bound a identity)) (least_upper_bound a identity) [] by Demod 1 with 497961 at 2
% 191.70/48.27 Id : 1, {_}: multiply (least_upper_bound a identity) (inverse (greatest_lower_bound a identity)) =>= multiply (inverse (greatest_lower_bound a identity)) (least_upper_bound a identity) [] by prove_p21
% 191.70/48.27 % SZS output end CNFRefutation for theBenchmark.p
% 191.70/48.27 8200: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 47.933225 using nrkbo
%------------------------------------------------------------------------------