TSTP Solution File: GRP183-2 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP183-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n005.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 10:29:28 EDT 2022
% Result : Unsatisfiable 233.82s 58.80s
% Output : CNFRefutation 233.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP183-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 10:35:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 11936: Facts:
% 0.14/0.36 11936: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.14/0.36 11936: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.14/0.36 11936: Id : 4, {_}:
% 0.14/0.36 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.14/0.36 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.14/0.36 11936: Id : 5, {_}:
% 0.14/0.36 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.14/0.36 [11, 10] by symmetry_of_glb ?10 ?11
% 0.14/0.36 11936: Id : 6, {_}:
% 0.14/0.36 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.14/0.36 [14, 13] by symmetry_of_lub ?13 ?14
% 0.14/0.36 11936: Id : 7, {_}:
% 0.14/0.36 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.14/0.36 =?=
% 0.14/0.36 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.14/0.36 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.14/0.36 11936: Id : 8, {_}:
% 0.14/0.36 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.14/0.36 =?=
% 0.14/0.36 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.14/0.36 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.14/0.36 11936: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.14/0.36 11936: Id : 10, {_}:
% 0.14/0.36 greatest_lower_bound ?26 ?26 =>= ?26
% 0.14/0.36 [26] by idempotence_of_gld ?26
% 0.14/0.36 11936: Id : 11, {_}:
% 0.14/0.36 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.14/0.36 [29, 28] by lub_absorbtion ?28 ?29
% 0.14/0.36 11936: Id : 12, {_}:
% 0.14/0.36 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.14/0.36 [32, 31] by glb_absorbtion ?31 ?32
% 0.14/0.36 11936: Id : 13, {_}:
% 0.14/0.36 multiply ?34 (least_upper_bound ?35 ?36)
% 0.14/0.36 =<=
% 0.14/0.36 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.14/0.36 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.14/0.36 11936: Id : 14, {_}:
% 0.14/0.36 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.14/0.36 =<=
% 0.14/0.36 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.14/0.36 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.14/0.36 11936: Id : 15, {_}:
% 0.14/0.36 multiply (least_upper_bound ?42 ?43) ?44
% 0.14/0.36 =<=
% 0.14/0.36 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.14/0.36 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.14/0.36 11936: Id : 16, {_}:
% 0.14/0.36 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.14/0.36 =<=
% 0.14/0.36 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.14/0.36 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.14/0.36 11936: Id : 17, {_}: inverse identity =>= identity [] by p20_1
% 0.14/0.36 11936: Id : 18, {_}: inverse (inverse ?51) =>= ?51 [51] by p20_2 ?51
% 0.14/0.36 11936: Id : 19, {_}:
% 0.14/0.36 inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
% 0.14/0.36 [54, 53] by p20_3 ?53 ?54
% 0.14/0.36 11936: Goal:
% 0.14/0.36 11936: Id : 1, {_}:
% 0.14/0.36 greatest_lower_bound (least_upper_bound a identity)
% 0.14/0.36 (inverse (greatest_lower_bound a identity))
% 0.14/0.36 =>=
% 0.14/0.36 identity
% 0.14/0.36 [] by prove_p20
% 233.82/58.80 Statistics :
% 233.82/58.80 Max weight : 22
% 233.82/58.80 Found proof, 58.438855s
% 233.82/58.80 % SZS status Unsatisfiable for theBenchmark.p
% 233.82/58.80 % SZS output start CNFRefutation for theBenchmark.p
% 233.82/58.80 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
% 233.82/58.80 Id : 10, {_}: greatest_lower_bound ?26 ?26 =>= ?26 [26] by idempotence_of_gld ?26
% 233.82/58.80 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
% 233.82/58.80 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
% 233.82/58.80 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
% 233.82/58.80 Id : 135, {_}: greatest_lower_bound ?454 (least_upper_bound ?454 ?455) =>= ?454 [455, 454] by glb_absorbtion ?454 ?455
% 233.82/58.80 Id : 117, {_}: least_upper_bound ?399 (greatest_lower_bound ?399 ?400) =>= ?399 [400, 399] by lub_absorbtion ?399 ?400
% 233.82/58.80 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
% 233.82/58.80 Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 233.82/58.80 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
% 233.82/58.80 Id : 12, {_}: greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31 [32, 31] by glb_absorbtion ?31 ?32
% 233.82/58.80 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
% 233.82/58.80 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 233.82/58.80 Id : 11, {_}: least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28 [29, 28] by lub_absorbtion ?28 ?29
% 233.82/58.80 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 233.82/58.80 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
% 233.82/58.80 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
% 233.82/58.80 Id : 19, {_}: inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53) [54, 53] by p20_3 ?53 ?54
% 233.82/58.80 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
% 233.82/58.80 Id : 18, {_}: inverse (inverse ?51) =>= ?51 [51] by p20_2 ?51
% 233.82/58.80 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 233.82/58.80 Id : 17, {_}: inverse identity =>= identity [] by p20_1
% 233.82/58.80 Id : 298, {_}: inverse (multiply ?837 ?838) =<= multiply (inverse ?838) (inverse ?837) [838, 837] by p20_3 ?837 ?838
% 233.82/58.80 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 233.82/58.80 Id : 24, {_}: multiply (multiply ?63 ?64) ?65 =?= multiply ?63 (multiply ?64 ?65) [65, 64, 63] by associativity ?63 ?64 ?65
% 233.82/58.80 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 233.82/58.80 Id : 26, {_}: multiply (multiply ?70 (inverse ?71)) ?71 =>= multiply ?70 identity [71, 70] by Super 24 with 3 at 2,3
% 233.82/58.80 Id : 299, {_}: inverse (multiply identity ?840) =<= multiply (inverse ?840) identity [840] by Super 298 with 17 at 2,3
% 233.82/58.80 Id : 323, {_}: inverse ?886 =<= multiply (inverse ?886) identity [886] by Demod 299 with 2 at 1,2
% 233.82/58.80 Id : 325, {_}: inverse (inverse ?889) =<= multiply ?889 identity [889] by Super 323 with 18 at 1,3
% 233.82/58.80 Id : 335, {_}: ?889 =<= multiply ?889 identity [889] by Demod 325 with 18 at 2
% 233.82/58.80 Id : 1187, {_}: multiply (multiply ?70 (inverse ?71)) ?71 =>= ?70 [71, 70] by Demod 26 with 335 at 3
% 233.82/58.80 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
% 233.82/58.80 Id : 1509, {_}: multiply (least_upper_bound identity (multiply ?2891 (inverse ?2892))) ?2892 =>= least_upper_bound (inverse (inverse ?2892)) ?2891 [2892, 2891] by Super 1187 with 223 at 1,2
% 233.82/58.80 Id : 63167, {_}: multiply (least_upper_bound identity (multiply ?77116 (inverse ?77117))) ?77117 =>= least_upper_bound ?77117 ?77116 [77117, 77116] by Demod 1509 with 18 at 1,3
% 233.82/58.80 Id : 63207, {_}: multiply (least_upper_bound identity (inverse (multiply ?77243 ?77244))) ?77243 =>= least_upper_bound ?77243 (inverse ?77244) [77244, 77243] by Super 63167 with 19 at 2,1,2
% 233.82/58.80 Id : 302, {_}: inverse (multiply ?847 (inverse ?848)) =>= multiply ?848 (inverse ?847) [848, 847] by Super 298 with 18 at 1,3
% 233.82/58.80 Id : 1202, {_}: multiply (multiply ?2351 (inverse ?2352)) ?2352 =>= ?2351 [2352, 2351] by Demod 26 with 335 at 3
% 233.82/58.80 Id : 1212, {_}: multiply (inverse (multiply ?2380 ?2381)) ?2380 =>= inverse ?2381 [2381, 2380] by Super 1202 with 19 at 1,2
% 233.82/58.80 Id : 2411, {_}: inverse (inverse ?4241) =<= multiply ?4242 (inverse (inverse (multiply (inverse ?4242) ?4241))) [4242, 4241] by Super 302 with 1212 at 1,2
% 233.82/58.80 Id : 2468, {_}: ?4241 =<= multiply ?4242 (inverse (inverse (multiply (inverse ?4242) ?4241))) [4242, 4241] by Demod 2411 with 18 at 2
% 233.82/58.80 Id : 2469, {_}: ?4241 =<= multiply ?4242 (multiply (inverse ?4242) ?4241) [4242, 4241] by Demod 2468 with 18 at 2,3
% 233.82/58.80 Id : 2427, {_}: multiply (inverse (multiply ?4299 ?4300)) ?4299 =>= inverse ?4300 [4300, 4299] by Super 1202 with 19 at 1,2
% 233.82/58.80 Id : 281, {_}: multiply ?786 (inverse ?786) =>= identity [786] by Super 3 with 18 at 1,2
% 233.82/58.80 Id : 372, {_}: 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
% 233.82/58.80 Id : 112677, {_}: multiply (inverse (greatest_lower_bound identity (multiply ?121842 ?121843))) ?121842 =>= inverse (greatest_lower_bound (inverse ?121842) ?121843) [121843, 121842] by Super 2427 with 372 at 1,1,2
% 233.82/58.80 Id : 112717, {_}: multiply (inverse (greatest_lower_bound identity ?121954)) ?121954 =>= inverse (greatest_lower_bound (inverse ?121954) identity) [121954] by Super 112677 with 335 at 2,1,1,2
% 233.82/58.80 Id : 1245, {_}: 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
% 233.82/58.80 Id : 111, {_}: least_upper_bound (greatest_lower_bound ?377 ?378) ?377 =>= ?377 [378, 377] by Super 6 with 11 at 3
% 233.82/58.80 Id : 1251, {_}: multiply (inverse (greatest_lower_bound ?2455 ?2456)) ?2455 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?2455 ?2456)) ?2455) [2456, 2455] by Super 1245 with 111 at 2,2
% 233.82/58.80 Id : 63210, {_}: 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 63167 with 1251 at 1,2
% 233.82/58.80 Id : 63309, {_}: 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 63210 with 4 at 2
% 233.82/58.80 Id : 300, {_}: inverse (multiply (inverse ?842) ?843) =>= multiply (inverse ?843) ?842 [843, 842] by Super 298 with 18 at 2,3
% 233.82/58.80 Id : 406, {_}: 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
% 233.82/58.80 Id : 423, {_}: inverse (multiply (inverse ?980) (multiply ?981 ?982)) =<= multiply (inverse ?982) (multiply (inverse ?981) ?980) [982, 981, 980] by Demod 406 with 4 at 1,2
% 233.82/58.80 Id : 424, {_}: multiply (inverse (multiply ?981 ?982)) ?980 =<= multiply (inverse ?982) (multiply (inverse ?981) ?980) [980, 982, 981] by Demod 423 with 300 at 2
% 233.82/58.80 Id : 63310, {_}: 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 63309 with 424 at 2
% 233.82/58.80 Id : 63441, {_}: inverse (greatest_lower_bound (inverse ?77638) ?77639) =<= least_upper_bound ?77638 (inverse (greatest_lower_bound (inverse ?77638) ?77639)) [77639, 77638] by Demod 63310 with 1212 at 2
% 233.82/58.80 Id : 63443, {_}: inverse (greatest_lower_bound (inverse (inverse ?77643)) ?77644) =<= least_upper_bound (inverse ?77643) (inverse (greatest_lower_bound ?77643 ?77644)) [77644, 77643] by Super 63441 with 18 at 1,1,2,3
% 233.82/58.80 Id : 82607, {_}: inverse (greatest_lower_bound ?92666 ?92667) =<= least_upper_bound (inverse ?92666) (inverse (greatest_lower_bound ?92666 ?92667)) [92667, 92666] by Demod 63443 with 18 at 1,1,2
% 233.82/58.80 Id : 82608, {_}: inverse (greatest_lower_bound ?92669 ?92670) =<= least_upper_bound (inverse ?92669) (inverse (greatest_lower_bound ?92670 ?92669)) [92670, 92669] by Super 82607 with 5 at 1,2,3
% 233.82/58.80 Id : 552, {_}: least_upper_bound (greatest_lower_bound ?1244 ?1245) ?1244 =>= ?1244 [1245, 1244] by Super 6 with 11 at 3
% 233.82/58.80 Id : 553, {_}: least_upper_bound (greatest_lower_bound ?1247 ?1248) ?1248 =>= ?1248 [1248, 1247] by Super 552 with 5 at 1,2
% 233.82/58.80 Id : 1255, {_}: multiply (inverse (greatest_lower_bound ?2467 ?2468)) ?2468 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?2467 ?2468)) ?2468) [2468, 2467] by Super 1245 with 553 at 2,2
% 233.82/58.80 Id : 63211, {_}: 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 63167 with 1255 at 1,2
% 233.82/58.80 Id : 63312, {_}: 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 63211 with 4 at 2
% 233.82/58.80 Id : 63313, {_}: 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 63312 with 424 at 2
% 233.82/58.80 Id : 70000, {_}: inverse (greatest_lower_bound ?81946 (inverse ?81947)) =<= least_upper_bound ?81947 (inverse (greatest_lower_bound ?81946 (inverse ?81947))) [81947, 81946] by Demod 63313 with 1212 at 2
% 233.82/58.80 Id : 70002, {_}: inverse (greatest_lower_bound ?81951 (inverse (inverse ?81952))) =<= least_upper_bound (inverse ?81952) (inverse (greatest_lower_bound ?81951 ?81952)) [81952, 81951] by Super 70000 with 18 at 2,1,2,3
% 233.82/58.80 Id : 70317, {_}: inverse (greatest_lower_bound ?81951 ?81952) =<= least_upper_bound (inverse ?81952) (inverse (greatest_lower_bound ?81951 ?81952)) [81952, 81951] by Demod 70002 with 18 at 2,1,2
% 233.82/58.80 Id : 96447, {_}: inverse (greatest_lower_bound ?92669 ?92670) =?= inverse (greatest_lower_bound ?92670 ?92669) [92670, 92669] by Demod 82608 with 70317 at 3
% 233.82/58.80 Id : 112935, {_}: multiply (inverse (greatest_lower_bound identity ?121954)) ?121954 =>= inverse (greatest_lower_bound identity (inverse ?121954)) [121954] by Demod 112717 with 96447 at 3
% 233.82/58.80 Id : 113030, {_}: ?122047 =<= multiply (greatest_lower_bound identity ?122047) (inverse (greatest_lower_bound identity (inverse ?122047))) [122047] by Super 2469 with 112935 at 2,3
% 233.82/58.80 Id : 332584, {_}: multiply (least_upper_bound identity (inverse ?363187)) (greatest_lower_bound identity ?363187) =<= least_upper_bound (greatest_lower_bound identity ?363187) (inverse (inverse (greatest_lower_bound identity (inverse ?363187)))) [363187] by Super 63207 with 113030 at 1,2,1,2
% 233.82/58.80 Id : 2425, {_}: inverse (inverse ?4293) =<= multiply (inverse ?4294) (multiply ?4294 ?4293) [4294, 4293] by Super 300 with 1212 at 1,2
% 233.82/58.80 Id : 2636, {_}: ?4605 =<= multiply (inverse ?4606) (multiply ?4606 ?4605) [4606, 4605] by Demod 2425 with 18 at 2
% 233.82/58.80 Id : 190, {_}: multiply (inverse ?601) (greatest_lower_bound ?601 ?602) =>= greatest_lower_bound identity (multiply (inverse ?601) ?602) [602, 601] by Super 184 with 3 at 1,3
% 233.82/58.80 Id : 2642, {_}: greatest_lower_bound ?4622 ?4623 =<= multiply (inverse (inverse ?4622)) (greatest_lower_bound identity (multiply (inverse ?4622) ?4623)) [4623, 4622] by Super 2636 with 190 at 2,3
% 233.82/58.80 Id : 2683, {_}: greatest_lower_bound ?4622 ?4623 =<= multiply ?4622 (greatest_lower_bound identity (multiply (inverse ?4622) ?4623)) [4623, 4622] by Demod 2642 with 18 at 1,3
% 233.82/58.80 Id : 1372, {_}: 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
% 233.82/58.80 Id : 624, {_}: greatest_lower_bound (least_upper_bound ?1385 ?1386) ?1385 =>= ?1385 [1386, 1385] by Super 5 with 12 at 3
% 233.82/58.80 Id : 625, {_}: greatest_lower_bound (least_upper_bound ?1388 ?1389) ?1389 =>= ?1389 [1389, 1388] by Super 624 with 6 at 1,2
% 233.82/58.80 Id : 1382, {_}: multiply (inverse (least_upper_bound ?2691 ?2692)) ?2692 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?2691 ?2692)) ?2692) [2692, 2691] by Super 1372 with 625 at 2,2
% 233.82/58.80 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
% 233.82/58.80 Id : 481, {_}: least_upper_bound (least_upper_bound ?1080 ?1081) ?1080 =>= least_upper_bound ?1080 ?1081 [1081, 1080] by Super 6 with 95 at 3
% 233.82/58.80 Id : 1253, {_}: 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 1245 with 481 at 2,2
% 233.82/58.80 Id : 1284, {_}: identity =<= least_upper_bound identity (multiply (inverse (least_upper_bound ?2461 ?2462)) ?2461) [2462, 2461] by Demod 1253 with 3 at 2
% 233.82/58.80 Id : 63212, {_}: multiply identity ?77257 =<= least_upper_bound ?77257 (inverse (least_upper_bound (inverse ?77257) ?77258)) [77258, 77257] by Super 63167 with 1284 at 1,2
% 233.82/58.80 Id : 70594, {_}: ?82485 =<= least_upper_bound ?82485 (inverse (least_upper_bound (inverse ?82485) ?82486)) [82486, 82485] by Demod 63212 with 2 at 2
% 233.82/58.80 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
% 233.82/58.80 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
% 233.82/58.80 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
% 233.82/58.80 Id : 588, {_}: least_upper_bound ?1317 (greatest_lower_bound ?1318 ?1317) =>= ?1317 [1318, 1317] by Super 117 with 5 at 2,2
% 233.82/58.80 Id : 595, {_}: least_upper_bound ?1338 (greatest_lower_bound ?1339 (greatest_lower_bound ?1340 ?1338)) =>= ?1338 [1340, 1339, 1338] by Super 588 with 7 at 2,2
% 233.82/58.80 Id : 9557, {_}: multiply (inverse (greatest_lower_bound ?18643 ?18644)) ?18643 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?18643 ?18644)) ?18643) [18644, 18643] by Super 1245 with 111 at 2,2
% 233.82/58.80 Id : 9590, {_}: multiply (inverse (greatest_lower_bound identity ?18760)) identity =>= least_upper_bound identity (inverse (greatest_lower_bound identity ?18760)) [18760] by Super 9557 with 335 at 2,3
% 233.82/58.80 Id : 9779, {_}: inverse (greatest_lower_bound identity ?18867) =<= least_upper_bound identity (inverse (greatest_lower_bound identity ?18867)) [18867] by Demod 9590 with 335 at 2
% 233.82/58.80 Id : 10089, {_}: inverse (greatest_lower_bound identity ?19122) =<= least_upper_bound identity (inverse (greatest_lower_bound ?19122 identity)) [19122] by Super 9779 with 5 at 1,2,3
% 233.82/58.80 Id : 12747, {_}: 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 10089 with 7 at 1,2,3
% 233.82/58.80 Id : 12752, {_}: 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 12747 with 625 at 2,1,2,3
% 233.82/58.80 Id : 9780, {_}: inverse (greatest_lower_bound identity ?18869) =<= least_upper_bound identity (inverse (greatest_lower_bound ?18869 identity)) [18869] by Super 9779 with 5 at 1,2,3
% 233.82/58.80 Id : 12866, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound ?22017 (least_upper_bound ?22018 identity))) =>= inverse (greatest_lower_bound identity ?22017) [22018, 22017] by Demod 12752 with 9780 at 3
% 233.82/58.80 Id : 18768, {_}: 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 12866 at 1,2
% 233.82/58.80 Id : 18870, {_}: greatest_lower_bound identity ?29223 =<= greatest_lower_bound identity (greatest_lower_bound ?29223 (least_upper_bound ?29224 identity)) [29224, 29223] by Demod 18768 with 18 at 2
% 233.82/58.80 Id : 19292, {_}: least_upper_bound (least_upper_bound ?29961 identity) (greatest_lower_bound identity ?29962) =>= least_upper_bound ?29961 identity [29962, 29961] by Super 595 with 18870 at 2,2
% 233.82/58.80 Id : 19293, {_}: least_upper_bound (least_upper_bound ?29964 identity) (greatest_lower_bound ?29965 identity) =>= least_upper_bound ?29964 identity [29965, 29964] by Super 19292 with 5 at 2,2
% 233.82/58.80 Id : 19501, {_}: greatest_lower_bound (least_upper_bound ?30156 identity) (greatest_lower_bound ?30157 identity) =>= greatest_lower_bound ?30157 identity [30157, 30156] by Super 625 with 19293 at 1,2
% 233.82/58.80 Id : 19701, {_}: 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 19501 at 2
% 233.82/58.80 Id : 19814, {_}: 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 19701 with 5 at 2
% 233.82/58.80 Id : 19815, {_}: 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 19814 with 5 at 3
% 233.82/58.80 Id : 136, {_}: greatest_lower_bound ?457 (least_upper_bound ?458 ?457) =>= ?457 [458, 457] by Super 135 with 6 at 2,2
% 233.82/58.80 Id : 19816, {_}: greatest_lower_bound identity (least_upper_bound (least_upper_bound ?30416 identity) ?30417) =>= identity [30417, 30416] by Demod 19815 with 136 at 3
% 233.82/58.80 Id : 20198, {_}: 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 19816 at 2,2
% 233.82/58.80 Id : 20322, {_}: 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 20198 with 335 at 2
% 233.82/58.80 Id : 20323, {_}: 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 20322 with 335 at 2,3
% 233.82/58.80 Id : 118, {_}: least_upper_bound ?402 (greatest_lower_bound ?403 ?402) =>= ?402 [403, 402] by Super 117 with 5 at 2,2
% 233.82/58.80 Id : 20194, {_}: 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 19816 at 2,2
% 233.82/58.80 Id : 20324, {_}: 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 20194 with 6 at 2
% 233.82/58.81 Id : 488, {_}: least_upper_bound ?1105 (least_upper_bound ?1105 ?1106) =>= least_upper_bound ?1105 ?1106 [1106, 1105] by Super 8 with 9 at 1,3
% 233.82/58.81 Id : 489, {_}: least_upper_bound ?1108 (least_upper_bound ?1109 ?1108) =>= least_upper_bound ?1108 ?1109 [1109, 1108] by Super 488 with 6 at 2,2
% 233.82/58.81 Id : 755, {_}: 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 489 at 1,3
% 233.82/58.81 Id : 20325, {_}: least_upper_bound (least_upper_bound identity ?31042) ?31043 =?= least_upper_bound (least_upper_bound ?31042 identity) ?31043 [31043, 31042] by Demod 20324 with 755 at 2
% 233.82/58.81 Id : 20326, {_}: least_upper_bound identity (least_upper_bound ?31042 ?31043) =<= least_upper_bound (least_upper_bound ?31042 identity) ?31043 [31043, 31042] by Demod 20325 with 8 at 2
% 233.82/58.81 Id : 24731, {_}: 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 20323 with 20326 at 1,2
% 233.82/58.81 Id : 24798, {_}: 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 24731 with 20326 at 1,2,3
% 233.82/58.81 Id : 24801, {_}: inverse (least_upper_bound identity (least_upper_bound ?36437 ?36437)) =?= greatest_lower_bound identity (inverse (least_upper_bound identity ?36437)) [36437] by Super 24798 with 9 at 2,1,2,3
% 233.82/58.81 Id : 25275, {_}: inverse (least_upper_bound identity ?36825) =<= greatest_lower_bound identity (inverse (least_upper_bound identity ?36825)) [36825] by Demod 24801 with 9 at 2,1,2
% 233.82/58.81 Id : 25276, {_}: inverse (least_upper_bound identity ?36827) =<= greatest_lower_bound identity (inverse (least_upper_bound ?36827 identity)) [36827] by Super 25275 with 6 at 1,2,3
% 233.82/58.81 Id : 18978, {_}: least_upper_bound (least_upper_bound ?29540 identity) (greatest_lower_bound identity ?29541) =>= least_upper_bound ?29540 identity [29541, 29540] by Super 595 with 18870 at 2,2
% 233.82/58.81 Id : 20437, {_}: least_upper_bound identity (least_upper_bound ?29540 (greatest_lower_bound identity ?29541)) =>= least_upper_bound ?29540 identity [29541, 29540] by Demod 18978 with 20326 at 2
% 233.82/58.81 Id : 24865, {_}: 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 24798 with 20437 at 1,2,3
% 233.82/58.81 Id : 25205, {_}: inverse (least_upper_bound ?36641 identity) =<= greatest_lower_bound identity (inverse (least_upper_bound ?36641 identity)) [36641] by Demod 24865 with 20437 at 1,2
% 233.82/58.81 Id : 26034, {_}: inverse (least_upper_bound identity ?36827) =?= inverse (least_upper_bound ?36827 identity) [36827] by Demod 25276 with 25205 at 3
% 233.82/58.81 Id : 71086, {_}: ?82948 =<= least_upper_bound ?82948 (inverse (least_upper_bound identity (inverse ?82948))) [82948] by Super 70594 with 26034 at 2,3
% 233.82/58.81 Id : 71088, {_}: inverse ?82951 =<= least_upper_bound (inverse ?82951) (inverse (least_upper_bound identity ?82951)) [82951] by Super 71086 with 18 at 2,1,2,3
% 233.82/58.81 Id : 73657, {_}: 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 1382 with 71088 at 1,1,2,3
% 233.82/58.81 Id : 73741, {_}: 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 73657 with 19 at 2
% 233.82/58.81 Id : 73742, {_}: 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 73741 with 19 at 2,3
% 233.82/58.81 Id : 376, {_}: 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
% 233.82/58.81 Id : 391, {_}: multiply ?954 (least_upper_bound ?955 (inverse ?954)) =>= least_upper_bound identity (multiply ?954 ?955) [955, 954] by Demod 376 with 6 at 3
% 233.82/58.81 Id : 73743, {_}: 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 73742 with 391 at 1,2
% 233.82/58.81 Id : 73744, {_}: 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 73743 with 302 at 2,3
% 233.82/58.81 Id : 378, {_}: 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
% 233.82/58.81 Id : 390, {_}: multiply (least_upper_bound ?960 ?961) (inverse ?961) =>= least_upper_bound identity (multiply ?960 (inverse ?961)) [961, 960] by Demod 378 with 6 at 3
% 233.82/58.81 Id : 73745, {_}: 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 73744 with 390 at 2,1,2
% 233.82/58.81 Id : 73746, {_}: inverse (least_upper_bound identity (multiply identity (inverse ?84255))) =<= greatest_lower_bound identity (multiply ?84255 (inverse (least_upper_bound identity ?84255))) [84255] by Demod 73745 with 95 at 1,2
% 233.82/58.81 Id : 73747, {_}: inverse (least_upper_bound identity (inverse ?84255)) =<= greatest_lower_bound identity (multiply ?84255 (inverse (least_upper_bound identity ?84255))) [84255] by Demod 73746 with 2 at 2,1,2
% 233.82/58.81 Id : 70652, {_}: ?82658 =<= least_upper_bound ?82658 (inverse (least_upper_bound identity (inverse ?82658))) [82658] by Super 70594 with 26034 at 2,3
% 233.82/58.81 Id : 71021, {_}: greatest_lower_bound ?82805 (inverse (least_upper_bound identity (inverse ?82805))) =>= inverse (least_upper_bound identity (inverse ?82805)) [82805] by Super 625 with 70652 at 1,2
% 233.82/58.81 Id : 71564, {_}: 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 372 with 71021 at 2,2
% 233.82/58.81 Id : 71843, {_}: 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 71564 with 18 at 2,1,2,2
% 233.82/58.81 Id : 71844, {_}: multiply ?83198 (inverse (least_upper_bound identity ?83198)) =<= greatest_lower_bound identity (multiply ?83198 (inverse (least_upper_bound identity ?83198))) [83198] by Demod 71843 with 18 at 2,1,2,2,3
% 233.82/58.81 Id : 91264, {_}: inverse (least_upper_bound identity (inverse ?84255)) =<= multiply ?84255 (inverse (least_upper_bound identity ?84255)) [84255] by Demod 73747 with 71844 at 3
% 233.82/58.81 Id : 91279, {_}: multiply (inverse (least_upper_bound identity (inverse ?99840))) (least_upper_bound identity ?99840) =>= ?99840 [99840] by Super 1187 with 91264 at 1,2
% 233.82/58.81 Id : 233980, {_}: greatest_lower_bound (least_upper_bound identity (inverse ?280776)) (least_upper_bound identity ?280776) =<= multiply (least_upper_bound identity (inverse ?280776)) (greatest_lower_bound identity ?280776) [280776] by Super 2683 with 91279 at 2,2,3
% 233.82/58.81 Id : 332802, {_}: greatest_lower_bound (least_upper_bound identity (inverse ?363187)) (least_upper_bound identity ?363187) =<= least_upper_bound (greatest_lower_bound identity ?363187) (inverse (inverse (greatest_lower_bound identity (inverse ?363187)))) [363187] by Demod 332584 with 233980 at 2
% 233.82/58.81 Id : 332803, {_}: greatest_lower_bound (least_upper_bound identity (inverse ?363187)) (least_upper_bound identity ?363187) =<= least_upper_bound (inverse (inverse (greatest_lower_bound identity (inverse ?363187)))) (greatest_lower_bound identity ?363187) [363187] by Demod 332802 with 6 at 3
% 233.82/58.81 Id : 333423, {_}: greatest_lower_bound (least_upper_bound identity (inverse ?363854)) (least_upper_bound identity ?363854) =>= least_upper_bound (greatest_lower_bound identity (inverse ?363854)) (greatest_lower_bound identity ?363854) [363854] by Demod 332803 with 18 at 1,3
% 233.82/58.81 Id : 333424, {_}: greatest_lower_bound (least_upper_bound identity (inverse ?363856)) (least_upper_bound ?363856 identity) =>= least_upper_bound (greatest_lower_bound identity (inverse ?363856)) (greatest_lower_bound identity ?363856) [363856] by Super 333423 with 6 at 2,2
% 233.82/58.81 Id : 373, {_}: multiply (multiply ?947 ?948) (inverse ?948) =>= multiply ?947 identity [948, 947] by Super 4 with 281 at 2,3
% 233.82/58.81 Id : 2200, {_}: multiply (multiply ?3921 ?3922) (inverse ?3922) =>= ?3921 [3922, 3921] by Demod 373 with 335 at 3
% 233.82/58.81 Id : 2212, {_}: multiply (least_upper_bound identity (multiply ?3957 ?3958)) (inverse ?3958) =>= least_upper_bound (inverse ?3958) ?3957 [3958, 3957] by Super 2200 with 223 at 1,2
% 233.82/58.81 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
% 233.82/58.81 Id : 2640, {_}: least_upper_bound ?4616 ?4617 =<= multiply (inverse (inverse ?4616)) (least_upper_bound identity (multiply (inverse ?4616) ?4617)) [4617, 4616] by Super 2636 with 160 at 2,3
% 233.82/58.81 Id : 2681, {_}: least_upper_bound ?4616 ?4617 =<= multiply ?4616 (least_upper_bound identity (multiply (inverse ?4616) ?4617)) [4617, 4616] by Demod 2640 with 18 at 1,3
% 233.82/58.81 Id : 12500, {_}: 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 9780 at 1,3
% 233.82/58.81 Id : 12513, {_}: 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 12500 with 6 at 2,2
% 233.82/58.81 Id : 63311, {_}: inverse (greatest_lower_bound (inverse ?77251) ?77252) =<= least_upper_bound ?77251 (inverse (greatest_lower_bound (inverse ?77251) ?77252)) [77252, 77251] by Demod 63310 with 1212 at 2
% 233.82/58.81 Id : 63350, {_}: 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 12513 with 63311 at 2,2
% 233.82/58.81 Id : 63700, {_}: inverse (greatest_lower_bound identity (inverse ?77342)) =<= least_upper_bound (inverse (greatest_lower_bound identity (inverse ?77342))) ?77342 [77342] by Demod 63350 with 9780 at 2
% 233.82/58.81 Id : 65477, {_}: greatest_lower_bound (inverse (greatest_lower_bound identity (inverse ?78803))) ?78803 =>= ?78803 [78803] by Super 625 with 63700 at 1,2
% 233.82/58.81 Id : 65479, {_}: greatest_lower_bound (inverse (greatest_lower_bound identity ?78806)) (inverse ?78806) =>= inverse ?78806 [78806] by Super 65477 with 18 at 2,1,1,2
% 233.82/58.81 Id : 67439, {_}: 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 1251 with 65479 at 1,1,2,3
% 233.82/58.81 Id : 67552, {_}: 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 67439 with 19 at 2
% 233.82/58.81 Id : 67553, {_}: 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 67552 with 19 at 2,3
% 233.82/58.81 Id : 67554, {_}: 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 67553 with 372 at 1,2
% 233.82/58.81 Id : 67555, {_}: 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 67554 with 302 at 2,3
% 233.82/58.81 Id : 369, {_}: 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
% 233.82/58.81 Id : 396, {_}: multiply (greatest_lower_bound ?935 ?936) (inverse ?936) =>= greatest_lower_bound identity (multiply ?935 (inverse ?936)) [936, 935] by Demod 369 with 5 at 3
% 233.82/58.81 Id : 67556, {_}: 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 67555 with 396 at 2,1,2
% 233.82/58.81 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
% 233.82/58.81 Id : 67557, {_}: inverse (greatest_lower_bound identity (multiply identity (inverse ?80016))) =<= least_upper_bound identity (multiply ?80016 (inverse (greatest_lower_bound identity ?80016))) [80016] by Demod 67556 with 103 at 1,2
% 233.82/58.81 Id : 67558, {_}: inverse (greatest_lower_bound identity (inverse ?80016)) =<= least_upper_bound identity (multiply ?80016 (inverse (greatest_lower_bound identity ?80016))) [80016] by Demod 67557 with 2 at 2,1,2
% 233.82/58.81 Id : 63987, {_}: 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 391 with 63700 at 2,2
% 233.82/58.81 Id : 64345, {_}: 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 63987 with 18 at 2,1,2,2
% 233.82/58.81 Id : 64346, {_}: multiply ?77967 (inverse (greatest_lower_bound identity ?77967)) =<= least_upper_bound identity (multiply ?77967 (inverse (greatest_lower_bound identity ?77967))) [77967] by Demod 64345 with 18 at 2,1,2,2,3
% 233.82/58.81 Id : 84354, {_}: inverse (greatest_lower_bound identity (inverse ?80016)) =<= multiply ?80016 (inverse (greatest_lower_bound identity ?80016)) [80016] by Demod 67558 with 64346 at 3
% 233.82/58.81 Id : 84378, {_}: multiply (inverse (greatest_lower_bound identity (inverse ?93853))) (greatest_lower_bound identity ?93853) =>= ?93853 [93853] by Super 1187 with 84354 at 1,2
% 233.82/58.81 Id : 220391, {_}: 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 2681 with 84378 at 2,2,3
% 233.82/58.81 Id : 220937, {_}: 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 2212 with 220391 at 2,1,2
% 233.82/58.81 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
% 233.82/58.81 Id : 221081, {_}: 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 220937 with 113 at 1,2
% 233.82/58.81 Id : 221082, {_}: 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 221081 with 11 at 1,2
% 233.82/58.81 Id : 221083, {_}: inverse (least_upper_bound identity ?271229) =<= least_upper_bound (inverse (least_upper_bound identity ?271229)) (greatest_lower_bound identity (inverse ?271229)) [271229] by Demod 221082 with 2 at 2
% 233.82/58.81 Id : 414729, {_}: 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 221083 at 2,2
% 233.82/58.81 Id : 415156, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?451261)) (greatest_lower_bound identity (inverse ?451261)) =>= greatest_lower_bound identity (inverse ?451261) [451261] by Demod 414729 with 5 at 2
% 233.82/58.81 Id : 4689, {_}: 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 625 with 595 at 1,2
% 233.82/58.81 Id : 521, {_}: greatest_lower_bound ?1179 (greatest_lower_bound ?1179 ?1180) =>= greatest_lower_bound ?1179 ?1180 [1180, 1179] by Super 7 with 10 at 1,3
% 233.82/58.81 Id : 873, {_}: greatest_lower_bound ?1837 (greatest_lower_bound ?1838 ?1837) =>= greatest_lower_bound ?1837 ?1838 [1838, 1837] by Super 521 with 5 at 2,2
% 233.82/58.81 Id : 884, {_}: 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 873 with 7 at 2,2
% 233.82/58.81 Id : 129117, {_}: greatest_lower_bound ?8768 (greatest_lower_bound ?8769 ?8770) =?= greatest_lower_bound ?8769 (greatest_lower_bound ?8770 ?8768) [8770, 8769, 8768] by Demod 4689 with 884 at 2
% 233.82/58.81 Id : 415157, {_}: greatest_lower_bound identity (greatest_lower_bound (inverse ?451261) (inverse (least_upper_bound identity ?451261))) =>= greatest_lower_bound identity (inverse ?451261) [451261] by Demod 415156 with 129117 at 2
% 233.82/58.81 Id : 25025, {_}: inverse (least_upper_bound identity ?36437) =<= greatest_lower_bound identity (inverse (least_upper_bound identity ?36437)) [36437] by Demod 24801 with 9 at 2,1,2
% 233.82/58.81 Id : 32090, {_}: 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 25025 at 1,3
% 233.82/58.81 Id : 32126, {_}: 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 32090 with 5 at 2,2
% 233.82/58.81 Id : 415158, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?451261)) (inverse ?451261) =>= greatest_lower_bound identity (inverse ?451261) [451261] by Demod 415157 with 32126 at 2
% 233.82/58.81 Id : 655, {_}: least_upper_bound (least_upper_bound ?1430 ?1431) ?1431 =>= least_upper_bound ?1430 ?1431 [1431, 1430] by Super 118 with 136 at 2,2
% 233.82/58.81 Id : 1256, {_}: 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 1245 with 655 at 2,2
% 233.82/58.81 Id : 1286, {_}: identity =<= least_upper_bound identity (multiply (inverse (least_upper_bound ?2470 ?2471)) ?2471) [2471, 2470] by Demod 1256 with 3 at 2
% 233.82/58.81 Id : 63213, {_}: multiply identity ?77260 =<= least_upper_bound ?77260 (inverse (least_upper_bound ?77261 (inverse ?77260))) [77261, 77260] by Super 63167 with 1286 at 1,2
% 233.82/58.81 Id : 63316, {_}: ?77260 =<= least_upper_bound ?77260 (inverse (least_upper_bound ?77261 (inverse ?77260))) [77261, 77260] by Demod 63213 with 2 at 2
% 233.82/58.81 Id : 92803, {_}: greatest_lower_bound (inverse (least_upper_bound ?101257 (inverse ?101258))) ?101258 =>= inverse (least_upper_bound ?101257 (inverse ?101258)) [101258, 101257] by Super 136 with 63316 at 2,2
% 233.82/58.81 Id : 92805, {_}: greatest_lower_bound (inverse (least_upper_bound ?101262 ?101263)) (inverse ?101263) =>= inverse (least_upper_bound ?101262 (inverse (inverse ?101263))) [101263, 101262] by Super 92803 with 18 at 2,1,1,2
% 233.82/58.81 Id : 93233, {_}: greatest_lower_bound (inverse (least_upper_bound ?101262 ?101263)) (inverse ?101263) =>= inverse (least_upper_bound ?101262 ?101263) [101263, 101262] by Demod 92805 with 18 at 2,1,3
% 233.82/58.81 Id : 415159, {_}: inverse (least_upper_bound identity ?451261) =<= greatest_lower_bound identity (inverse ?451261) [451261] by Demod 415158 with 93233 at 2
% 233.82/58.81 Id : 415899, {_}: greatest_lower_bound (least_upper_bound identity (inverse ?363856)) (least_upper_bound ?363856 identity) =>= least_upper_bound (inverse (least_upper_bound identity ?363856)) (greatest_lower_bound identity ?363856) [363856] by Demod 333424 with 415159 at 1,3
% 233.82/58.81 Id : 234579, {_}: greatest_lower_bound (least_upper_bound identity (inverse ?281278)) (least_upper_bound identity ?281278) =<= multiply (least_upper_bound identity (inverse ?281278)) (greatest_lower_bound identity ?281278) [281278] by Super 2683 with 91279 at 2,2,3
% 233.82/58.81 Id : 234661, {_}: greatest_lower_bound (least_upper_bound identity (inverse (inverse ?281505))) (least_upper_bound identity (inverse ?281505)) =>= multiply (least_upper_bound identity ?281505) (greatest_lower_bound identity (inverse ?281505)) [281505] by Super 234579 with 18 at 2,1,3
% 233.82/58.81 Id : 235196, {_}: greatest_lower_bound (least_upper_bound identity ?281505) (least_upper_bound identity (inverse ?281505)) =<= multiply (least_upper_bound identity ?281505) (greatest_lower_bound identity (inverse ?281505)) [281505] by Demod 234661 with 18 at 2,1,2
% 233.82/58.81 Id : 332579, {_}: multiply (least_upper_bound identity ?363177) (inverse (inverse (greatest_lower_bound identity (inverse ?363177)))) =>= least_upper_bound (inverse (inverse (greatest_lower_bound identity (inverse ?363177)))) (greatest_lower_bound identity ?363177) [363177] by Super 2212 with 113030 at 2,1,2
% 233.82/58.81 Id : 332817, {_}: multiply (least_upper_bound identity ?363177) (greatest_lower_bound identity (inverse ?363177)) =<= least_upper_bound (inverse (inverse (greatest_lower_bound identity (inverse ?363177)))) (greatest_lower_bound identity ?363177) [363177] by Demod 332579 with 18 at 2,2
% 233.82/58.81 Id : 332818, {_}: multiply (least_upper_bound identity ?363177) (greatest_lower_bound identity (inverse ?363177)) =>= least_upper_bound (greatest_lower_bound identity (inverse ?363177)) (greatest_lower_bound identity ?363177) [363177] by Demod 332817 with 18 at 1,3
% 233.82/58.81 Id : 332819, {_}: greatest_lower_bound (least_upper_bound identity ?363177) (least_upper_bound identity (inverse ?363177)) =>= least_upper_bound (greatest_lower_bound identity (inverse ?363177)) (greatest_lower_bound identity ?363177) [363177] by Demod 332818 with 235196 at 2
% 233.82/58.81 Id : 334498, {_}: least_upper_bound (greatest_lower_bound identity (inverse ?281505)) (greatest_lower_bound identity ?281505) =<= multiply (least_upper_bound identity ?281505) (greatest_lower_bound identity (inverse ?281505)) [281505] by Demod 235196 with 332819 at 2
% 233.82/58.81 Id : 415897, {_}: least_upper_bound (inverse (least_upper_bound identity ?281505)) (greatest_lower_bound identity ?281505) =<= multiply (least_upper_bound identity ?281505) (greatest_lower_bound identity (inverse ?281505)) [281505] by Demod 334498 with 415159 at 1,2
% 233.82/58.81 Id : 415898, {_}: least_upper_bound (inverse (least_upper_bound identity ?281505)) (greatest_lower_bound identity ?281505) =<= multiply (least_upper_bound identity ?281505) (inverse (least_upper_bound identity ?281505)) [281505] by Demod 415897 with 415159 at 2,3
% 233.82/58.81 Id : 415953, {_}: least_upper_bound (inverse (least_upper_bound identity ?281505)) (greatest_lower_bound identity ?281505) =>= identity [281505] by Demod 415898 with 281 at 3
% 233.82/58.81 Id : 415954, {_}: greatest_lower_bound (least_upper_bound identity (inverse ?363856)) (least_upper_bound ?363856 identity) =>= identity [363856] by Demod 415899 with 415953 at 3
% 233.82/58.81 Id : 1973, {_}: 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
% 233.82/58.81 Id : 108031, {_}: multiply ?117794 (inverse (greatest_lower_bound ?117794 ?117795)) =<= least_upper_bound identity (multiply ?117794 (inverse (greatest_lower_bound ?117794 ?117795))) [117795, 117794] by Super 1973 with 111 at 1,2
% 233.82/58.81 Id : 108032, {_}: multiply ?117797 (inverse (greatest_lower_bound ?117797 ?117798)) =<= least_upper_bound identity (multiply ?117797 (inverse (greatest_lower_bound ?117798 ?117797))) [117798, 117797] by Super 108031 with 5 at 1,2,2,3
% 233.82/58.81 Id : 1987, {_}: multiply ?3626 (inverse (greatest_lower_bound ?3627 ?3626)) =<= least_upper_bound identity (multiply ?3626 (inverse (greatest_lower_bound ?3627 ?3626))) [3627, 3626] by Super 1973 with 553 at 1,2
% 233.82/58.81 Id : 275230, {_}: multiply ?117797 (inverse (greatest_lower_bound ?117797 ?117798)) =?= multiply ?117797 (inverse (greatest_lower_bound ?117798 ?117797)) [117798, 117797] by Demod 108032 with 1987 at 3
% 233.82/58.81 Id : 416211, {_}: multiply (inverse ?452336) (inverse (greatest_lower_bound (inverse ?452336) identity)) =>= multiply (inverse ?452336) (inverse (inverse (least_upper_bound identity ?452336))) [452336] by Super 275230 with 415159 at 1,2,2
% 233.82/58.81 Id : 416316, {_}: multiply (inverse ?452336) (inverse (greatest_lower_bound identity (inverse ?452336))) =>= multiply (inverse ?452336) (inverse (inverse (least_upper_bound identity ?452336))) [452336] by Demod 416211 with 275230 at 2
% 233.82/58.81 Id : 416317, {_}: multiply (inverse ?452336) (inverse (greatest_lower_bound identity (inverse ?452336))) =>= inverse (multiply (inverse (least_upper_bound identity ?452336)) ?452336) [452336] by Demod 416316 with 19 at 3
% 233.82/58.81 Id : 416318, {_}: inverse (multiply (greatest_lower_bound identity (inverse ?452336)) ?452336) =>= inverse (multiply (inverse (least_upper_bound identity ?452336)) ?452336) [452336] by Demod 416317 with 19 at 2
% 233.82/58.81 Id : 416319, {_}: inverse (multiply (greatest_lower_bound identity (inverse ?452336)) ?452336) =>= multiply (inverse ?452336) (least_upper_bound identity ?452336) [452336] by Demod 416318 with 300 at 3
% 233.82/58.81 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
% 233.82/58.81 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
% 233.82/58.81 Id : 416320, {_}: inverse (greatest_lower_bound identity (multiply identity ?452336)) =<= multiply (inverse ?452336) (least_upper_bound identity ?452336) [452336] by Demod 416319 with 271 at 1,2
% 233.82/58.81 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
% 233.82/58.81 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
% 233.82/58.81 Id : 416321, {_}: inverse (greatest_lower_bound identity (multiply identity ?452336)) =<= least_upper_bound identity (multiply (inverse ?452336) identity) [452336] by Demod 416320 with 173 at 3
% 233.82/58.81 Id : 416322, {_}: inverse (greatest_lower_bound identity ?452336) =<= least_upper_bound identity (multiply (inverse ?452336) identity) [452336] by Demod 416321 with 2 at 2,1,2
% 233.82/58.81 Id : 416323, {_}: inverse (greatest_lower_bound identity ?452336) =<= least_upper_bound identity (inverse ?452336) [452336] by Demod 416322 with 335 at 2,3
% 233.82/58.81 Id : 416911, {_}: greatest_lower_bound (inverse (greatest_lower_bound identity ?363856)) (least_upper_bound ?363856 identity) =>= identity [363856] by Demod 415954 with 416323 at 1,2
% 233.82/58.81 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
% 233.82/58.81 Id : 2214, {_}: multiply (greatest_lower_bound identity (multiply ?3963 ?3964)) (inverse ?3964) =>= greatest_lower_bound (inverse ?3964) ?3963 [3964, 3963] by Super 2200 with 255 at 1,2
% 233.82/58.81 Id : 417275, {_}: inverse (greatest_lower_bound identity ?453066) =<= least_upper_bound identity (inverse ?453066) [453066] by Demod 416322 with 335 at 2,3
% 233.82/58.81 Id : 417278, {_}: inverse (greatest_lower_bound identity (multiply (inverse ?453071) ?453072)) =>= least_upper_bound identity (multiply (inverse ?453072) ?453071) [453072, 453071] by Super 417275 with 300 at 2,3
% 233.82/58.81 Id : 474407, {_}: inverse (least_upper_bound identity (multiply (inverse ?490710) ?490711)) =>= greatest_lower_bound identity (multiply (inverse ?490711) ?490710) [490711, 490710] by Super 18 with 417278 at 1,2
% 233.82/58.81 Id : 474447, {_}: inverse (least_upper_bound identity (least_upper_bound identity (multiply (inverse ?490861) ?490862))) =?= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?490861 ?490862)) ?490861) [490862, 490861] by Super 474407 with 160 at 2,1,2
% 233.82/58.81 Id : 474940, {_}: inverse (least_upper_bound identity (multiply (inverse ?490861) ?490862)) =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?490861 ?490862)) ?490861) [490862, 490861] by Demod 474447 with 95 at 1,2
% 233.82/58.81 Id : 128, {_}: greatest_lower_bound (least_upper_bound ?430 ?431) ?430 =>= ?430 [431, 430] by Super 5 with 12 at 3
% 233.82/58.81 Id : 1378, {_}: multiply (inverse (least_upper_bound ?2679 ?2680)) ?2679 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?2679 ?2680)) ?2679) [2680, 2679] by Super 1372 with 128 at 2,2
% 233.82/58.81 Id : 474941, {_}: inverse (least_upper_bound identity (multiply (inverse ?490861) ?490862)) =?= multiply (inverse (least_upper_bound ?490861 ?490862)) ?490861 [490862, 490861] by Demod 474940 with 1378 at 3
% 233.82/58.81 Id : 449733, {_}: inverse (least_upper_bound identity (multiply (inverse ?472000) ?472001)) =>= greatest_lower_bound identity (multiply (inverse ?472001) ?472000) [472001, 472000] by Super 18 with 417278 at 1,2
% 233.82/58.81 Id : 474942, {_}: greatest_lower_bound identity (multiply (inverse ?490862) ?490861) =<= multiply (inverse (least_upper_bound ?490861 ?490862)) ?490861 [490861, 490862] by Demod 474941 with 449733 at 2
% 233.82/58.81 Id : 485172, {_}: multiply (greatest_lower_bound identity (greatest_lower_bound identity (multiply (inverse ?501156) ?501157))) (inverse ?501157) =>= greatest_lower_bound (inverse ?501157) (inverse (least_upper_bound ?501157 ?501156)) [501157, 501156] by Super 2214 with 474942 at 2,1,2
% 233.82/58.81 Id : 485513, {_}: multiply (greatest_lower_bound identity (multiply (inverse ?501156) ?501157)) (inverse ?501157) =>= greatest_lower_bound (inverse ?501157) (inverse (least_upper_bound ?501157 ?501156)) [501157, 501156] by Demod 485172 with 103 at 1,2
% 233.82/58.81 Id : 63315, {_}: ?77257 =<= least_upper_bound ?77257 (inverse (least_upper_bound (inverse ?77257) ?77258)) [77258, 77257] by Demod 63212 with 2 at 2
% 233.82/58.81 Id : 88806, {_}: greatest_lower_bound ?98238 (inverse (least_upper_bound (inverse ?98238) ?98239)) =>= inverse (least_upper_bound (inverse ?98238) ?98239) [98239, 98238] by Super 625 with 63315 at 1,2
% 233.82/58.81 Id : 88808, {_}: greatest_lower_bound (inverse ?98243) (inverse (least_upper_bound ?98243 ?98244)) =>= inverse (least_upper_bound (inverse (inverse ?98243)) ?98244) [98244, 98243] by Super 88806 with 18 at 1,1,2,2
% 233.82/58.81 Id : 89230, {_}: greatest_lower_bound (inverse ?98243) (inverse (least_upper_bound ?98243 ?98244)) =>= inverse (least_upper_bound ?98243 ?98244) [98244, 98243] by Demod 88808 with 18 at 1,1,3
% 233.82/58.81 Id : 485514, {_}: multiply (greatest_lower_bound identity (multiply (inverse ?501156) ?501157)) (inverse ?501157) =>= inverse (least_upper_bound ?501157 ?501156) [501157, 501156] by Demod 485513 with 89230 at 3
% 233.82/58.81 Id : 486320, {_}: greatest_lower_bound (inverse ?502291) (inverse ?502292) =>= inverse (least_upper_bound ?502291 ?502292) [502292, 502291] by Demod 485514 with 2214 at 2
% 233.82/58.81 Id : 393, {_}: multiply (multiply ?947 ?948) (inverse ?948) =>= ?947 [948, 947] by Demod 373 with 335 at 3
% 233.82/58.81 Id : 449813, {_}: inverse (greatest_lower_bound identity (multiply (inverse ?472293) ?472294)) =>= least_upper_bound identity (multiply (inverse ?472294) ?472293) [472294, 472293] by Super 417275 with 300 at 2,3
% 233.82/58.81 Id : 449857, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound identity (multiply (inverse ?472452) ?472453))) =?= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?472452 ?472453)) ?472452) [472453, 472452] by Super 449813 with 190 at 2,1,2
% 233.82/58.81 Id : 450366, {_}: inverse (greatest_lower_bound identity (multiply (inverse ?472452) ?472453)) =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?472452 ?472453)) ?472452) [472453, 472452] by Demod 449857 with 103 at 1,2
% 233.82/58.81 Id : 450367, {_}: inverse (greatest_lower_bound identity (multiply (inverse ?472452) ?472453)) =?= multiply (inverse (greatest_lower_bound ?472452 ?472453)) ?472452 [472453, 472452] by Demod 450366 with 1251 at 3
% 233.82/58.81 Id : 450368, {_}: least_upper_bound identity (multiply (inverse ?472453) ?472452) =<= multiply (inverse (greatest_lower_bound ?472452 ?472453)) ?472452 [472452, 472453] by Demod 450367 with 417278 at 2
% 233.82/58.81 Id : 475351, {_}: multiply (least_upper_bound identity (multiply (inverse ?491244) ?491245)) (inverse ?491245) =>= inverse (greatest_lower_bound ?491245 ?491244) [491245, 491244] by Super 393 with 450368 at 1,2
% 233.82/58.81 Id : 476583, {_}: least_upper_bound (inverse ?492512) (inverse ?492513) =>= inverse (greatest_lower_bound ?492512 ?492513) [492513, 492512] by Demod 475351 with 2212 at 2
% 233.82/58.81 Id : 476585, {_}: least_upper_bound (inverse ?492517) ?492518 =<= inverse (greatest_lower_bound ?492517 (inverse ?492518)) [492518, 492517] by Super 476583 with 18 at 2,2
% 233.82/58.81 Id : 486360, {_}: greatest_lower_bound (inverse ?502445) (least_upper_bound (inverse ?502446) ?502447) =>= inverse (least_upper_bound ?502445 (greatest_lower_bound ?502446 (inverse ?502447))) [502447, 502446, 502445] by Super 486320 with 476585 at 2,2
% 233.82/58.81 Id : 528364, {_}: inverse (least_upper_bound (greatest_lower_bound identity (inverse ?546936)) (greatest_lower_bound ?546936 (inverse identity))) =>= identity [546936] by Super 416911 with 486360 at 2
% 233.82/58.81 Id : 528572, {_}: inverse (least_upper_bound (inverse (least_upper_bound identity ?546936)) (greatest_lower_bound ?546936 (inverse identity))) =>= identity [546936] by Demod 528364 with 415159 at 1,1,2
% 233.82/58.81 Id : 528573, {_}: inverse (least_upper_bound (inverse (least_upper_bound identity ?546936)) (greatest_lower_bound ?546936 identity)) =>= identity [546936] by Demod 528572 with 17 at 2,2,1,2
% 233.82/58.81 Id : 115046, {_}: greatest_lower_bound (inverse ?123648) ?123649 =<= multiply (inverse ?123648) (greatest_lower_bound identity (multiply ?123648 ?123649)) [123649, 123648] by Super 2636 with 372 at 2,3
% 233.82/58.81 Id : 115088, {_}: greatest_lower_bound (inverse (inverse ?123764)) (inverse ?123765) =<= multiply (inverse (inverse ?123764)) (greatest_lower_bound identity (inverse (multiply ?123765 ?123764))) [123765, 123764] by Super 115046 with 19 at 2,2,3
% 233.82/58.81 Id : 115269, {_}: greatest_lower_bound ?123764 (inverse ?123765) =<= multiply (inverse (inverse ?123764)) (greatest_lower_bound identity (inverse (multiply ?123765 ?123764))) [123765, 123764] by Demod 115088 with 18 at 1,2
% 233.82/58.81 Id : 115270, {_}: greatest_lower_bound ?123764 (inverse ?123765) =<= multiply ?123764 (greatest_lower_bound identity (inverse (multiply ?123765 ?123764))) [123765, 123764] by Demod 115269 with 18 at 1,3
% 233.82/58.81 Id : 415904, {_}: greatest_lower_bound ?123764 (inverse ?123765) =<= multiply ?123764 (inverse (least_upper_bound identity (multiply ?123765 ?123764))) [123765, 123764] by Demod 115270 with 415159 at 2,3
% 233.82/58.81 Id : 1188, {_}: inverse ?2298 =<= multiply ?2299 (inverse (multiply ?2298 (inverse (inverse ?2299)))) [2299, 2298] by Super 302 with 1187 at 1,2
% 233.82/58.81 Id : 1219, {_}: inverse ?2298 =<= multiply ?2299 (multiply (inverse ?2299) (inverse ?2298)) [2299, 2298] by Demod 1188 with 302 at 2,3
% 233.82/58.81 Id : 2517, {_}: inverse ?4451 =<= multiply ?4452 (inverse (multiply ?4451 ?4452)) [4452, 4451] by Demod 1219 with 19 at 2,3
% 233.82/58.81 Id : 2525, {_}: inverse (least_upper_bound (inverse ?4474) ?4475) =<= multiply ?4474 (inverse (least_upper_bound identity (multiply ?4475 ?4474))) [4475, 4474] by Super 2517 with 223 at 1,2,3
% 233.82/58.81 Id : 415907, {_}: greatest_lower_bound ?123764 (inverse ?123765) =<= inverse (least_upper_bound (inverse ?123764) ?123765) [123765, 123764] by Demod 415904 with 2525 at 3
% 233.82/58.81 Id : 528574, {_}: greatest_lower_bound (least_upper_bound identity ?546936) (inverse (greatest_lower_bound ?546936 identity)) =>= identity [546936] by Demod 528573 with 415907 at 2
% 233.82/58.81 Id : 564322, {_}: greatest_lower_bound (inverse (greatest_lower_bound ?590511 identity)) (least_upper_bound identity ?590511) =>= identity [590511] by Demod 528574 with 5 at 2
% 233.82/58.81 Id : 564323, {_}: greatest_lower_bound (inverse (greatest_lower_bound ?590513 identity)) (least_upper_bound ?590513 identity) =>= identity [590513] by Super 564322 with 6 at 2,2
% 233.82/58.81 Id : 571820, {_}: identity === identity [] by Demod 311 with 564323 at 2
% 233.82/58.81 Id : 311, {_}: greatest_lower_bound (inverse (greatest_lower_bound a identity)) (least_upper_bound a identity) =>= identity [] by Demod 1 with 5 at 2
% 233.82/58.81 Id : 1, {_}: greatest_lower_bound (least_upper_bound a identity) (inverse (greatest_lower_bound a identity)) =>= identity [] by prove_p20
% 233.82/58.81 % SZS output end CNFRefutation for theBenchmark.p
% 233.82/58.81 11939: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 58.455547 using nrkbo
%------------------------------------------------------------------------------