TSTP Solution File: GRP183-3 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP183-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n024.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 : Timeout 288.98s 72.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP183-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 05:04:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 8837: Facts:
% 0.12/0.34 8837: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.34 8837: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.34 8837: Id : 4, {_}:
% 0.12/0.34 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.12/0.34 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.12/0.34 8837: Id : 5, {_}:
% 0.12/0.34 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.12/0.34 [11, 10] by symmetry_of_glb ?10 ?11
% 0.12/0.34 8837: Id : 6, {_}:
% 0.12/0.34 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.12/0.34 [14, 13] by symmetry_of_lub ?13 ?14
% 0.12/0.34 8837: Id : 7, {_}:
% 0.12/0.34 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.12/0.34 =?=
% 0.12/0.34 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.12/0.34 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.12/0.34 8837: Id : 8, {_}:
% 0.12/0.34 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.12/0.34 =?=
% 0.12/0.34 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.12/0.34 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.12/0.34 8837: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.12/0.34 8837: Id : 10, {_}:
% 0.12/0.34 greatest_lower_bound ?26 ?26 =>= ?26
% 0.12/0.34 [26] by idempotence_of_gld ?26
% 0.12/0.34 8837: Id : 11, {_}:
% 0.12/0.34 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.12/0.34 [29, 28] by lub_absorbtion ?28 ?29
% 0.12/0.34 8837: Id : 12, {_}:
% 0.12/0.34 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.12/0.34 [32, 31] by glb_absorbtion ?31 ?32
% 0.12/0.34 8837: Id : 13, {_}:
% 0.12/0.34 multiply ?34 (least_upper_bound ?35 ?36)
% 0.12/0.34 =<=
% 0.12/0.34 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.12/0.34 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.12/0.34 8837: Id : 14, {_}:
% 0.12/0.34 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.12/0.34 =<=
% 0.12/0.34 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.12/0.34 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.12/0.34 8837: Id : 15, {_}:
% 0.12/0.34 multiply (least_upper_bound ?42 ?43) ?44
% 0.12/0.34 =<=
% 0.12/0.34 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.12/0.34 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.12/0.34 8837: Id : 16, {_}:
% 0.12/0.34 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.12/0.34 =<=
% 0.12/0.34 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.12/0.34 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.12/0.34 8837: Goal:
% 0.12/0.34 8837: Id : 1, {_}:
% 0.12/0.34 greatest_lower_bound (least_upper_bound a identity)
% 0.12/0.34 (least_upper_bound (inverse a) identity)
% 0.12/0.34 =>=
% 0.12/0.34 identity
% 0.12/0.34 [] by prove_20x
% 288.98/72.59 Statistics :
% 288.98/72.59 Max weight : 19
% 288.98/72.59 Found proof, 72.251577s
% 288.98/72.59 % SZS status Unsatisfiable for theBenchmark.p
% 288.98/72.59 % SZS output start CNFRefutation for theBenchmark.p
% 288.98/72.59 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
% 288.98/72.59 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
% 288.98/72.59 Id : 87, {_}: least_upper_bound ?217 (greatest_lower_bound ?217 ?218) =>= ?217 [218, 217] by lub_absorbtion ?217 ?218
% 288.98/72.59 Id : 121, {_}: multiply ?294 (least_upper_bound ?295 ?296) =<= least_upper_bound (multiply ?294 ?295) (multiply ?294 ?296) [296, 295, 294] by monotony_lub1 ?294 ?295 ?296
% 288.98/72.59 Id : 196, {_}: multiply (least_upper_bound ?419 ?420) ?421 =<= least_upper_bound (multiply ?419 ?421) (multiply ?420 ?421) [421, 420, 419] by monotony_lub2 ?419 ?420 ?421
% 288.98/72.59 Id : 12, {_}: greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31 [32, 31] by glb_absorbtion ?31 ?32
% 288.98/72.59 Id : 157, {_}: multiply ?355 (greatest_lower_bound ?356 ?357) =<= greatest_lower_bound (multiply ?355 ?356) (multiply ?355 ?357) [357, 356, 355] by monotony_glb1 ?355 ?356 ?357
% 288.98/72.59 Id : 10, {_}: greatest_lower_bound ?26 ?26 =>= ?26 [26] by idempotence_of_gld ?26
% 288.98/72.59 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
% 288.98/72.59 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 288.98/72.59 Id : 11, {_}: least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28 [29, 28] by lub_absorbtion ?28 ?29
% 288.98/72.59 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
% 288.98/72.59 Id : 227, {_}: multiply (greatest_lower_bound ?486 ?487) ?488 =<= greatest_lower_bound (multiply ?486 ?488) (multiply ?487 ?488) [488, 487, 486] by monotony_glb2 ?486 ?487 ?488
% 288.98/72.59 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
% 288.98/72.59 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 288.98/72.59 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 288.98/72.59 Id : 21, {_}: multiply (multiply ?57 ?58) ?59 =>= multiply ?57 (multiply ?58 ?59) [59, 58, 57] by associativity ?57 ?58 ?59
% 288.98/72.59 Id : 102, {_}: greatest_lower_bound ?251 (least_upper_bound ?251 ?252) =>= ?251 [252, 251] by glb_absorbtion ?251 ?252
% 288.98/72.59 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =>= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 288.98/72.59 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 288.98/72.59 Id : 103, {_}: greatest_lower_bound ?254 (least_upper_bound ?255 ?254) =>= ?254 [255, 254] by Super 102 with 6 at 2,2
% 288.98/72.59 Id : 23, {_}: multiply identity ?64 =<= multiply (inverse ?65) (multiply ?65 ?64) [65, 64] by Super 21 with 3 at 1,2
% 288.98/72.59 Id : 27, {_}: ?64 =<= multiply (inverse ?65) (multiply ?65 ?64) [65, 64] by Demod 23 with 2 at 2
% 288.98/72.59 Id : 309, {_}: ?625 =<= multiply (inverse ?626) (multiply ?626 ?625) [626, 625] by Demod 23 with 2 at 2
% 288.98/72.59 Id : 444, {_}: multiply ?820 ?821 =<= multiply (inverse (inverse ?820)) ?821 [821, 820] by Super 309 with 27 at 2,3
% 288.98/72.59 Id : 446, {_}: multiply ?825 (inverse ?825) =>= identity [825] by Super 444 with 3 at 3
% 288.98/72.59 Id : 562, {_}: multiply ?1048 (least_upper_bound (inverse ?1048) ?1049) =>= least_upper_bound identity (multiply ?1048 ?1049) [1049, 1048] by Super 13 with 446 at 1,3
% 288.98/72.59 Id : 2339, {_}: least_upper_bound (inverse ?3967) ?3968 =<= multiply (inverse ?3967) (least_upper_bound identity (multiply ?3967 ?3968)) [3968, 3967] by Super 27 with 562 at 2,3
% 288.98/72.59 Id : 232, {_}: multiply (greatest_lower_bound (inverse ?504) ?505) ?504 =>= greatest_lower_bound identity (multiply ?505 ?504) [505, 504] by Super 227 with 3 at 1,3
% 288.98/72.59 Id : 557, {_}: multiply ?1035 (greatest_lower_bound (inverse ?1035) ?1036) =>= greatest_lower_bound identity (multiply ?1035 ?1036) [1036, 1035] by Super 14 with 446 at 1,3
% 288.98/72.59 Id : 45787, {_}: greatest_lower_bound (inverse ?55035) ?55036 =<= multiply (inverse ?55035) (greatest_lower_bound identity (multiply ?55035 ?55036)) [55036, 55035] by Super 27 with 557 at 2,3
% 288.98/72.59 Id : 447, {_}: multiply ?827 (multiply (inverse ?827) ?828) =>= ?828 [828, 827] by Super 444 with 27 at 3
% 288.98/72.59 Id : 45801, {_}: greatest_lower_bound (inverse ?55076) (multiply (inverse ?55076) ?55077) =>= multiply (inverse ?55076) (greatest_lower_bound identity ?55077) [55077, 55076] by Super 45787 with 447 at 2,2,3
% 288.98/72.59 Id : 46087, {_}: multiply (multiply (inverse ?55327) (greatest_lower_bound identity ?55328)) ?55327 =>= greatest_lower_bound identity (multiply (multiply (inverse ?55327) ?55328) ?55327) [55328, 55327] by Super 232 with 45801 at 1,2
% 288.98/72.59 Id : 46198, {_}: multiply (inverse ?55327) (multiply (greatest_lower_bound identity ?55328) ?55327) =>= greatest_lower_bound identity (multiply (multiply (inverse ?55327) ?55328) ?55327) [55328, 55327] by Demod 46087 with 4 at 2
% 288.98/72.59 Id : 46199, {_}: multiply (inverse ?55327) (multiply (greatest_lower_bound identity ?55328) ?55327) =>= greatest_lower_bound identity (multiply (inverse ?55327) (multiply ?55328 ?55327)) [55328, 55327] by Demod 46198 with 4 at 2,3
% 288.98/72.59 Id : 137431, {_}: least_upper_bound (inverse (inverse ?139431)) (multiply (greatest_lower_bound identity ?139432) ?139431) =<= multiply (inverse (inverse ?139431)) (least_upper_bound identity (greatest_lower_bound identity (multiply (inverse ?139431) (multiply ?139432 ?139431)))) [139432, 139431] by Super 2339 with 46199 at 2,2,3
% 288.98/72.59 Id : 311, {_}: ?630 =<= multiply (inverse (inverse ?630)) identity [630] by Super 309 with 3 at 2,3
% 288.98/72.59 Id : 313, {_}: multiply ?636 ?637 =<= multiply (inverse (inverse ?636)) ?637 [637, 636] by Super 309 with 27 at 2,3
% 288.98/72.59 Id : 430, {_}: ?630 =<= multiply ?630 identity [630] by Demod 311 with 313 at 3
% 288.98/72.59 Id : 431, {_}: inverse (inverse ?774) =<= multiply ?774 identity [774] by Super 430 with 313 at 3
% 288.98/72.59 Id : 470, {_}: inverse (inverse ?774) =>= ?774 [774] by Demod 431 with 430 at 3
% 288.98/72.59 Id : 137615, {_}: least_upper_bound ?139431 (multiply (greatest_lower_bound identity ?139432) ?139431) =<= multiply (inverse (inverse ?139431)) (least_upper_bound identity (greatest_lower_bound identity (multiply (inverse ?139431) (multiply ?139432 ?139431)))) [139432, 139431] by Demod 137431 with 470 at 1,2
% 288.98/72.59 Id : 137616, {_}: least_upper_bound ?139431 (multiply (greatest_lower_bound identity ?139432) ?139431) =<= multiply ?139431 (least_upper_bound identity (greatest_lower_bound identity (multiply (inverse ?139431) (multiply ?139432 ?139431)))) [139432, 139431] by Demod 137615 with 470 at 1,3
% 288.98/72.59 Id : 137617, {_}: least_upper_bound ?139431 (multiply (greatest_lower_bound identity ?139432) ?139431) =>= multiply ?139431 identity [139432, 139431] by Demod 137616 with 11 at 2,3
% 288.98/72.59 Id : 137618, {_}: least_upper_bound ?139431 (multiply (greatest_lower_bound identity ?139432) ?139431) =>= ?139431 [139432, 139431] by Demod 137617 with 430 at 3
% 288.98/72.59 Id : 138061, {_}: greatest_lower_bound (multiply (greatest_lower_bound identity ?140193) ?140194) ?140194 =>= multiply (greatest_lower_bound identity ?140193) ?140194 [140194, 140193] by Super 103 with 137618 at 2,2
% 288.98/72.59 Id : 138446, {_}: greatest_lower_bound ?140194 (multiply (greatest_lower_bound identity ?140193) ?140194) =>= multiply (greatest_lower_bound identity ?140193) ?140194 [140193, 140194] by Demod 138061 with 5 at 2
% 288.98/72.59 Id : 2117, {_}: greatest_lower_bound (inverse ?3473) ?3474 =<= multiply (inverse ?3473) (greatest_lower_bound identity (multiply ?3473 ?3474)) [3474, 3473] by Super 27 with 557 at 2,3
% 288.98/72.59 Id : 137428, {_}: greatest_lower_bound (inverse (inverse ?139418)) (multiply (greatest_lower_bound identity ?139419) ?139418) =<= multiply (inverse (inverse ?139418)) (greatest_lower_bound identity (greatest_lower_bound identity (multiply (inverse ?139418) (multiply ?139419 ?139418)))) [139419, 139418] by Super 2117 with 46199 at 2,2,3
% 288.98/72.59 Id : 137624, {_}: greatest_lower_bound ?139418 (multiply (greatest_lower_bound identity ?139419) ?139418) =<= multiply (inverse (inverse ?139418)) (greatest_lower_bound identity (greatest_lower_bound identity (multiply (inverse ?139418) (multiply ?139419 ?139418)))) [139419, 139418] by Demod 137428 with 470 at 1,2
% 288.98/72.59 Id : 137625, {_}: greatest_lower_bound ?139418 (multiply (greatest_lower_bound identity ?139419) ?139418) =<= multiply ?139418 (greatest_lower_bound identity (greatest_lower_bound identity (multiply (inverse ?139418) (multiply ?139419 ?139418)))) [139419, 139418] by Demod 137624 with 470 at 1,3
% 288.98/72.59 Id : 78, {_}: greatest_lower_bound ?193 (greatest_lower_bound ?193 ?194) =>= greatest_lower_bound ?193 ?194 [194, 193] by Super 7 with 10 at 1,3
% 288.98/72.59 Id : 137626, {_}: greatest_lower_bound ?139418 (multiply (greatest_lower_bound identity ?139419) ?139418) =<= multiply ?139418 (greatest_lower_bound identity (multiply (inverse ?139418) (multiply ?139419 ?139418))) [139419, 139418] by Demod 137625 with 78 at 2,3
% 288.98/72.59 Id : 162, {_}: multiply (inverse ?373) (greatest_lower_bound ?373 ?374) =>= greatest_lower_bound identity (multiply (inverse ?373) ?374) [374, 373] by Super 157 with 3 at 1,3
% 288.98/72.59 Id : 1245, {_}: greatest_lower_bound ?2106 ?2107 =<= multiply (inverse (inverse ?2106)) (greatest_lower_bound identity (multiply (inverse ?2106) ?2107)) [2107, 2106] by Super 27 with 162 at 2,3
% 288.98/72.59 Id : 1281, {_}: greatest_lower_bound ?2106 ?2107 =<= multiply ?2106 (greatest_lower_bound identity (multiply (inverse ?2106) ?2107)) [2107, 2106] by Demod 1245 with 470 at 1,3
% 288.98/72.59 Id : 137627, {_}: greatest_lower_bound ?139418 (multiply (greatest_lower_bound identity ?139419) ?139418) =>= greatest_lower_bound ?139418 (multiply ?139419 ?139418) [139419, 139418] by Demod 137626 with 1281 at 3
% 288.98/72.59 Id : 140626, {_}: greatest_lower_bound ?140194 (multiply ?140193 ?140194) =?= multiply (greatest_lower_bound identity ?140193) ?140194 [140193, 140194] by Demod 138446 with 137627 at 2
% 288.98/72.59 Id : 200484, {_}: multiply (greatest_lower_bound ?189285 (multiply ?189286 ?189285)) ?189287 =>= multiply (greatest_lower_bound identity ?189286) (multiply ?189285 ?189287) [189287, 189286, 189285] by Super 4 with 140626 at 1,2
% 288.98/72.59 Id : 200486, {_}: multiply (greatest_lower_bound ?189292 identity) ?189293 =<= multiply (greatest_lower_bound identity (inverse ?189292)) (multiply ?189292 ?189293) [189293, 189292] by Super 200484 with 3 at 2,1,2
% 288.98/72.59 Id : 559, {_}: identity =<= multiply ?1041 (multiply ?1042 (inverse (multiply ?1041 ?1042))) [1042, 1041] by Super 4 with 446 at 2
% 288.98/72.59 Id : 315489, {_}: multiply ?281795 (inverse (multiply ?281796 ?281795)) =>= multiply (inverse ?281796) identity [281796, 281795] by Super 27 with 559 at 2,3
% 288.98/72.59 Id : 315893, {_}: multiply ?281795 (inverse (multiply ?281796 ?281795)) =>= inverse ?281796 [281796, 281795] by Demod 315489 with 430 at 3
% 288.98/72.59 Id : 316236, {_}: multiply (greatest_lower_bound ?282726 identity) (inverse (multiply ?282727 ?282726)) =>= multiply (greatest_lower_bound identity (inverse ?282726)) (inverse ?282727) [282727, 282726] by Super 200486 with 315893 at 2,3
% 288.98/72.59 Id : 159, {_}: multiply (inverse ?362) (greatest_lower_bound ?363 ?362) =>= greatest_lower_bound (multiply (inverse ?362) ?363) identity [363, 362] by Super 157 with 3 at 2,3
% 288.98/72.59 Id : 1656, {_}: multiply (inverse ?2836) (greatest_lower_bound ?2837 ?2836) =>= greatest_lower_bound identity (multiply (inverse ?2836) ?2837) [2837, 2836] by Demod 159 with 5 at 3
% 288.98/72.59 Id : 43946, {_}: multiply (inverse (least_upper_bound ?53233 ?53234)) ?53233 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?53233 ?53234)) ?53233) [53234, 53233] by Super 1656 with 12 at 2,2
% 288.98/72.59 Id : 43947, {_}: multiply (inverse (least_upper_bound ?53236 ?53237)) ?53236 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?53237 ?53236)) ?53236) [53237, 53236] by Super 43946 with 6 at 1,1,2,3
% 288.98/72.59 Id : 1663, {_}: multiply (inverse (least_upper_bound ?2858 ?2859)) ?2859 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?2858 ?2859)) ?2859) [2859, 2858] by Super 1656 with 103 at 2,2
% 288.98/72.59 Id : 127146, {_}: multiply (inverse (least_upper_bound ?53236 ?53237)) ?53236 =?= multiply (inverse (least_upper_bound ?53237 ?53236)) ?53236 [53237, 53236] by Demod 43947 with 1663 at 3
% 288.98/72.59 Id : 316284, {_}: inverse (multiply ?282886 ?282887) =<= multiply (inverse ?282887) (inverse ?282886) [282887, 282886] by Super 27 with 315893 at 2,3
% 288.98/72.59 Id : 316346, {_}: multiply ?283091 (inverse (multiply ?283092 ?283091)) =>= inverse ?283092 [283092, 283091] by Demod 315489 with 430 at 3
% 288.98/72.59 Id : 70964, {_}: least_upper_bound (inverse ?77742) ?77743 =<= multiply (inverse ?77742) (least_upper_bound identity (multiply ?77742 ?77743)) [77743, 77742] by Super 27 with 562 at 2,3
% 288.98/72.59 Id : 70978, {_}: least_upper_bound (inverse ?77783) (multiply (inverse ?77783) ?77784) =>= multiply (inverse ?77783) (least_upper_bound identity ?77784) [77784, 77783] by Super 70964 with 447 at 2,2,3
% 288.98/72.59 Id : 201, {_}: multiply (least_upper_bound (inverse ?437) ?438) ?437 =>= least_upper_bound identity (multiply ?438 ?437) [438, 437] by Super 196 with 3 at 1,3
% 288.98/72.59 Id : 71340, {_}: multiply (multiply (inverse ?78097) (least_upper_bound identity ?78098)) ?78097 =>= least_upper_bound identity (multiply (multiply (inverse ?78097) ?78098) ?78097) [78098, 78097] by Super 201 with 70978 at 1,2
% 288.98/72.59 Id : 71470, {_}: multiply (inverse ?78097) (multiply (least_upper_bound identity ?78098) ?78097) =>= least_upper_bound identity (multiply (multiply (inverse ?78097) ?78098) ?78097) [78098, 78097] by Demod 71340 with 4 at 2
% 288.98/72.59 Id : 172755, {_}: multiply (inverse ?166834) (multiply (least_upper_bound identity ?166835) ?166834) =>= least_upper_bound identity (multiply (inverse ?166834) (multiply ?166835 ?166834)) [166835, 166834] by Demod 71470 with 4 at 2,3
% 288.98/72.59 Id : 172890, {_}: multiply ?167271 (multiply (least_upper_bound identity ?167272) (inverse ?167271)) =<= least_upper_bound identity (multiply (inverse (inverse ?167271)) (multiply ?167272 (inverse ?167271))) [167272, 167271] by Super 172755 with 470 at 1,2
% 288.98/72.59 Id : 173414, {_}: multiply ?167271 (multiply (least_upper_bound identity ?167272) (inverse ?167271)) =>= least_upper_bound identity (multiply ?167271 (multiply ?167272 (inverse ?167271))) [167272, 167271] by Demod 172890 with 470 at 1,2,3
% 288.98/72.59 Id : 219879, {_}: multiply (least_upper_bound identity ?207406) (inverse ?207407) =<= multiply (inverse ?207407) (least_upper_bound identity (multiply ?207407 (multiply ?207406 (inverse ?207407)))) [207407, 207406] by Super 27 with 173414 at 2,3
% 288.98/72.59 Id : 220214, {_}: multiply (least_upper_bound identity ?207406) (inverse ?207407) =<= least_upper_bound (inverse ?207407) (multiply ?207406 (inverse ?207407)) [207407, 207406] by Demod 219879 with 2339 at 3
% 288.98/72.59 Id : 221235, {_}: multiply (least_upper_bound identity (inverse ?209054)) (inverse ?209054) =>= multiply (inverse ?209054) (least_upper_bound identity (inverse ?209054)) [209054] by Super 70978 with 220214 at 2
% 288.98/72.59 Id : 221237, {_}: multiply (least_upper_bound identity (inverse (inverse ?209057))) ?209057 =<= multiply (inverse (inverse ?209057)) (least_upper_bound identity (inverse (inverse ?209057))) [209057] by Super 221235 with 470 at 2,2
% 288.98/72.59 Id : 221466, {_}: multiply (least_upper_bound identity ?209057) ?209057 =<= multiply (inverse (inverse ?209057)) (least_upper_bound identity (inverse (inverse ?209057))) [209057] by Demod 221237 with 470 at 2,1,2
% 288.98/72.59 Id : 221467, {_}: multiply (least_upper_bound identity ?209057) ?209057 =<= multiply ?209057 (least_upper_bound identity (inverse (inverse ?209057))) [209057] by Demod 221466 with 470 at 1,3
% 288.98/72.59 Id : 221468, {_}: multiply (least_upper_bound identity ?209057) ?209057 =>= multiply ?209057 (least_upper_bound identity ?209057) [209057] by Demod 221467 with 470 at 2,2,3
% 288.98/72.59 Id : 316420, {_}: multiply ?283306 (inverse (multiply ?283306 (least_upper_bound identity ?283306))) =>= inverse (least_upper_bound identity ?283306) [283306] by Super 316346 with 221468 at 1,2,2
% 288.98/72.59 Id : 353953, {_}: inverse (multiply (multiply (inverse ?308542) (least_upper_bound identity (inverse ?308542))) ?308542) =>= inverse (least_upper_bound identity (inverse ?308542)) [308542] by Super 316284 with 316420 at 3
% 288.98/72.59 Id : 354156, {_}: inverse (multiply (inverse ?308542) (multiply (least_upper_bound identity (inverse ?308542)) ?308542)) =>= inverse (least_upper_bound identity (inverse ?308542)) [308542] by Demod 353953 with 4 at 1,2
% 288.98/72.59 Id : 316981, {_}: inverse (multiply ?284040 ?284041) =<= multiply (inverse ?284041) (inverse ?284040) [284041, 284040] by Super 27 with 315893 at 2,3
% 288.98/72.59 Id : 316983, {_}: inverse (multiply (inverse ?284045) ?284046) =>= multiply (inverse ?284046) ?284045 [284046, 284045] by Super 316981 with 470 at 2,3
% 288.98/72.59 Id : 354157, {_}: multiply (inverse (multiply (least_upper_bound identity (inverse ?308542)) ?308542)) ?308542 =>= inverse (least_upper_bound identity (inverse ?308542)) [308542] by Demod 354156 with 316983 at 2
% 288.98/72.63 Id : 198, {_}: multiply (least_upper_bound ?426 (inverse ?427)) ?427 =>= least_upper_bound (multiply ?426 ?427) identity [427, 426] by Super 196 with 3 at 2,3
% 288.98/72.63 Id : 214, {_}: multiply (least_upper_bound ?426 (inverse ?427)) ?427 =>= least_upper_bound identity (multiply ?426 ?427) [427, 426] by Demod 198 with 6 at 3
% 288.98/72.63 Id : 354158, {_}: multiply (inverse (least_upper_bound identity (multiply identity ?308542))) ?308542 =>= inverse (least_upper_bound identity (inverse ?308542)) [308542] by Demod 354157 with 214 at 1,1,2
% 288.98/72.63 Id : 354159, {_}: multiply (inverse (least_upper_bound identity ?308542)) ?308542 =>= inverse (least_upper_bound identity (inverse ?308542)) [308542] by Demod 354158 with 2 at 2,1,1,2
% 288.98/72.63 Id : 355678, {_}: multiply (inverse (least_upper_bound ?309043 identity)) ?309043 =>= inverse (least_upper_bound identity (inverse ?309043)) [309043] by Super 127146 with 354159 at 3
% 288.98/72.63 Id : 356791, {_}: multiply (greatest_lower_bound ?309828 identity) (inverse (inverse (least_upper_bound identity (inverse ?309828)))) =<= multiply (greatest_lower_bound identity (inverse ?309828)) (inverse (inverse (least_upper_bound ?309828 identity))) [309828] by Super 316236 with 355678 at 1,2,2
% 288.98/72.63 Id : 356846, {_}: multiply (greatest_lower_bound ?309828 identity) (least_upper_bound identity (inverse ?309828)) =<= multiply (greatest_lower_bound identity (inverse ?309828)) (inverse (inverse (least_upper_bound ?309828 identity))) [309828] by Demod 356791 with 470 at 2,2
% 288.98/72.63 Id : 356847, {_}: multiply (greatest_lower_bound ?309828 identity) (least_upper_bound identity (inverse ?309828)) =<= multiply (greatest_lower_bound identity (inverse ?309828)) (least_upper_bound ?309828 identity) [309828] by Demod 356846 with 470 at 2,3
% 288.98/72.63 Id : 126, {_}: multiply (inverse ?312) (least_upper_bound ?312 ?313) =>= least_upper_bound identity (multiply (inverse ?312) ?313) [313, 312] by Super 121 with 3 at 1,3
% 288.98/72.63 Id : 955, {_}: least_upper_bound ?1750 ?1751 =<= multiply (inverse (inverse ?1750)) (least_upper_bound identity (multiply (inverse ?1750) ?1751)) [1751, 1750] by Super 27 with 126 at 2,3
% 288.98/72.63 Id : 984, {_}: least_upper_bound ?1750 ?1751 =<= multiply ?1750 (least_upper_bound identity (multiply (inverse ?1750) ?1751)) [1751, 1750] by Demod 955 with 470 at 1,3
% 288.98/72.63 Id : 316490, {_}: multiply (multiply ?283509 ?283510) (inverse (multiply (greatest_lower_bound ?283509 identity) ?283510)) =>= inverse (greatest_lower_bound identity (inverse ?283509)) [283510, 283509] by Super 316346 with 200486 at 1,2,2
% 288.98/72.63 Id : 316802, {_}: multiply ?283509 (multiply ?283510 (inverse (multiply (greatest_lower_bound ?283509 identity) ?283510))) =>= inverse (greatest_lower_bound identity (inverse ?283509)) [283510, 283509] by Demod 316490 with 4 at 2
% 288.98/72.63 Id : 316803, {_}: multiply ?283509 (inverse (greatest_lower_bound ?283509 identity)) =>= inverse (greatest_lower_bound identity (inverse ?283509)) [283509] by Demod 316802 with 315893 at 2,2
% 288.98/72.63 Id : 318976, {_}: multiply (inverse (greatest_lower_bound ?286306 identity)) (inverse (inverse (greatest_lower_bound identity (inverse ?286306)))) =>= inverse ?286306 [286306] by Super 315893 with 316803 at 1,2,2
% 288.98/72.63 Id : 319039, {_}: inverse (multiply (inverse (greatest_lower_bound identity (inverse ?286306))) (greatest_lower_bound ?286306 identity)) =>= inverse ?286306 [286306] by Demod 318976 with 316284 at 2
% 288.98/72.63 Id : 319040, {_}: multiply (inverse (greatest_lower_bound ?286306 identity)) (greatest_lower_bound identity (inverse ?286306)) =>= inverse ?286306 [286306] by Demod 319039 with 316983 at 2
% 288.98/72.63 Id : 382586, {_}: least_upper_bound (greatest_lower_bound ?327960 identity) (greatest_lower_bound identity (inverse ?327960)) =<= multiply (greatest_lower_bound ?327960 identity) (least_upper_bound identity (inverse ?327960)) [327960] by Super 984 with 319040 at 2,2,3
% 288.98/72.63 Id : 383433, {_}: least_upper_bound (greatest_lower_bound ?309828 identity) (greatest_lower_bound identity (inverse ?309828)) =<= multiply (greatest_lower_bound identity (inverse ?309828)) (least_upper_bound ?309828 identity) [309828] by Demod 356847 with 382586 at 2
% 288.98/72.63 Id : 200, {_}: multiply (least_upper_bound identity ?434) ?435 =?= least_upper_bound ?435 (multiply ?434 ?435) [435, 434] by Super 196 with 2 at 1,3
% 288.98/72.63 Id : 316443, {_}: multiply (inverse (multiply ?283370 ?283371)) (inverse (inverse ?283370)) =>= inverse ?283371 [283371, 283370] by Super 316346 with 315893 at 1,2,2
% 288.98/72.63 Id : 316766, {_}: multiply (inverse (multiply ?283370 ?283371)) ?283370 =>= inverse ?283371 [283371, 283370] by Demod 316443 with 470 at 2,2
% 288.98/72.63 Id : 400539, {_}: multiply (least_upper_bound identity (inverse (multiply ?336518 ?336519))) ?336518 =>= least_upper_bound ?336518 (inverse ?336519) [336519, 336518] by Super 200 with 316766 at 2,3
% 288.98/72.63 Id : 141359, {_}: multiply (greatest_lower_bound identity (inverse ?143378)) (inverse ?143378) =>= multiply (inverse ?143378) (greatest_lower_bound identity (inverse ?143378)) [143378] by Super 45801 with 140626 at 2
% 288.98/72.63 Id : 141361, {_}: multiply (greatest_lower_bound identity (inverse (inverse ?143381))) ?143381 =<= multiply (inverse (inverse ?143381)) (greatest_lower_bound identity (inverse (inverse ?143381))) [143381] by Super 141359 with 470 at 2,2
% 288.98/72.63 Id : 141508, {_}: multiply (greatest_lower_bound identity ?143381) ?143381 =<= multiply (inverse (inverse ?143381)) (greatest_lower_bound identity (inverse (inverse ?143381))) [143381] by Demod 141361 with 470 at 2,1,2
% 288.98/72.63 Id : 141509, {_}: multiply (greatest_lower_bound identity ?143381) ?143381 =<= multiply ?143381 (greatest_lower_bound identity (inverse (inverse ?143381))) [143381] by Demod 141508 with 470 at 1,3
% 288.98/72.63 Id : 141840, {_}: multiply (greatest_lower_bound identity ?143743) ?143743 =>= multiply ?143743 (greatest_lower_bound identity ?143743) [143743] by Demod 141509 with 470 at 2,2,3
% 288.98/72.63 Id : 141843, {_}: multiply (greatest_lower_bound ?143749 identity) ?143749 =>= multiply ?143749 (greatest_lower_bound identity ?143749) [143749] by Super 141840 with 5 at 1,2
% 288.98/72.63 Id : 143104, {_}: multiply (multiply ?144729 (greatest_lower_bound identity ?144729)) ?144730 =>= multiply (greatest_lower_bound ?144729 identity) (multiply ?144729 ?144730) [144730, 144729] by Super 4 with 141843 at 1,2
% 288.98/72.63 Id : 143191, {_}: multiply ?144729 (multiply (greatest_lower_bound identity ?144729) ?144730) =<= multiply (greatest_lower_bound ?144729 identity) (multiply ?144729 ?144730) [144730, 144729] by Demod 143104 with 4 at 2
% 288.98/72.63 Id : 318930, {_}: multiply ?286204 (multiply (greatest_lower_bound identity ?286204) (inverse (greatest_lower_bound ?286204 identity))) =>= multiply (greatest_lower_bound ?286204 identity) (inverse (greatest_lower_bound identity (inverse ?286204))) [286204] by Super 143191 with 316803 at 2,3
% 288.98/72.63 Id : 123, {_}: multiply (inverse ?301) (least_upper_bound ?302 ?301) =>= least_upper_bound (multiply (inverse ?301) ?302) identity [302, 301] by Super 121 with 3 at 2,3
% 288.98/72.63 Id : 1186, {_}: multiply (inverse ?2053) (least_upper_bound ?2054 ?2053) =>= least_upper_bound identity (multiply (inverse ?2053) ?2054) [2054, 2053] by Demod 123 with 6 at 3
% 288.98/72.63 Id : 5874, {_}: multiply (inverse (greatest_lower_bound ?10043 ?10044)) ?10043 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?10043 ?10044)) ?10043) [10044, 10043] by Super 1186 with 11 at 2,2
% 288.98/72.63 Id : 5903, {_}: multiply (inverse (greatest_lower_bound identity ?10141)) identity =>= least_upper_bound identity (inverse (greatest_lower_bound identity ?10141)) [10141] by Super 5874 with 430 at 2,3
% 288.98/72.63 Id : 6034, {_}: inverse (greatest_lower_bound identity ?10227) =<= least_upper_bound identity (inverse (greatest_lower_bound identity ?10227)) [10227] by Demod 5903 with 430 at 2
% 288.98/72.63 Id : 488, {_}: greatest_lower_bound ?885 (greatest_lower_bound ?886 ?887) =?= greatest_lower_bound ?886 (greatest_lower_bound ?887 ?885) [887, 886, 885] by Super 5 with 7 at 3
% 288.98/72.63 Id : 490, {_}: greatest_lower_bound ?893 (greatest_lower_bound ?894 ?893) =>= greatest_lower_bound ?894 ?893 [894, 893] by Super 488 with 10 at 2,3
% 288.98/72.63 Id : 6045, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound ?10251 identity)) =<= least_upper_bound identity (inverse (greatest_lower_bound ?10251 identity)) [10251] by Super 6034 with 490 at 1,2,3
% 288.98/72.63 Id : 6134, {_}: inverse (greatest_lower_bound ?10251 identity) =<= least_upper_bound identity (inverse (greatest_lower_bound ?10251 identity)) [10251] by Demod 6045 with 490 at 1,2
% 288.98/72.63 Id : 6037, {_}: inverse (greatest_lower_bound identity ?10233) =<= least_upper_bound identity (inverse (greatest_lower_bound ?10233 identity)) [10233] by Super 6034 with 5 at 1,2,3
% 288.98/72.63 Id : 6910, {_}: inverse (greatest_lower_bound ?10251 identity) =?= inverse (greatest_lower_bound identity ?10251) [10251] by Demod 6134 with 6037 at 3
% 288.98/72.63 Id : 6936, {_}: multiply (greatest_lower_bound identity ?11320) (inverse (greatest_lower_bound ?11320 identity)) =>= identity [11320] by Super 446 with 6910 at 2,2
% 288.98/72.63 Id : 319293, {_}: multiply ?286204 identity =<= multiply (greatest_lower_bound ?286204 identity) (inverse (greatest_lower_bound identity (inverse ?286204))) [286204] by Demod 318930 with 6936 at 2,2
% 288.98/72.63 Id : 319294, {_}: ?286204 =<= multiply (greatest_lower_bound ?286204 identity) (inverse (greatest_lower_bound identity (inverse ?286204))) [286204] by Demod 319293 with 430 at 2
% 288.98/72.63 Id : 400733, {_}: multiply (least_upper_bound identity (inverse ?337078)) (greatest_lower_bound ?337078 identity) =<= least_upper_bound (greatest_lower_bound ?337078 identity) (inverse (inverse (greatest_lower_bound identity (inverse ?337078)))) [337078] by Super 400539 with 319294 at 1,2,1,2
% 288.98/72.63 Id : 199, {_}: multiply (least_upper_bound ?429 (multiply ?430 ?431)) ?432 =<= least_upper_bound (multiply ?429 ?432) (multiply ?430 (multiply ?431 ?432)) [432, 431, 430, 429] by Super 196 with 4 at 2,3
% 288.98/72.63 Id : 269541, {_}: multiply (least_upper_bound ?244901 (multiply ?244902 ?244901)) ?244903 =>= multiply (least_upper_bound identity ?244902) (multiply ?244901 ?244903) [244903, 244902, 244901] by Super 199 with 200 at 3
% 288.98/72.63 Id : 269543, {_}: multiply (least_upper_bound ?244908 identity) ?244909 =<= multiply (least_upper_bound identity (inverse ?244908)) (multiply ?244908 ?244909) [244909, 244908] by Super 269541 with 3 at 2,1,2
% 288.98/72.63 Id : 316227, {_}: multiply (least_upper_bound ?282699 identity) (inverse (multiply ?282700 ?282699)) =>= multiply (least_upper_bound identity (inverse ?282699)) (inverse ?282700) [282700, 282699] by Super 269543 with 315893 at 2,3
% 288.98/72.63 Id : 5875, {_}: multiply (inverse (greatest_lower_bound ?10046 ?10047)) ?10046 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?10047 ?10046)) ?10046) [10047, 10046] by Super 5874 with 5 at 1,1,2,3
% 288.98/72.63 Id : 88, {_}: least_upper_bound ?220 (greatest_lower_bound ?221 ?220) =>= ?220 [221, 220] by Super 87 with 5 at 2,2
% 288.98/72.63 Id : 1191, {_}: multiply (inverse (greatest_lower_bound ?2067 ?2068)) ?2068 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?2067 ?2068)) ?2068) [2068, 2067] by Super 1186 with 88 at 2,2
% 288.98/72.63 Id : 76884, {_}: multiply (inverse (greatest_lower_bound ?10046 ?10047)) ?10046 =?= multiply (inverse (greatest_lower_bound ?10047 ?10046)) ?10046 [10047, 10046] by Demod 5875 with 1191 at 3
% 288.98/72.63 Id : 141510, {_}: multiply (greatest_lower_bound identity ?143381) ?143381 =>= multiply ?143381 (greatest_lower_bound identity ?143381) [143381] by Demod 141509 with 470 at 2,2,3
% 288.98/72.63 Id : 316397, {_}: multiply ?283239 (inverse (multiply ?283239 (greatest_lower_bound identity ?283239))) =>= inverse (greatest_lower_bound identity ?283239) [283239] by Super 316346 with 141510 at 1,2,2
% 288.98/72.63 Id : 344891, {_}: inverse (multiply (multiply (inverse ?304495) (greatest_lower_bound identity (inverse ?304495))) ?304495) =>= inverse (greatest_lower_bound identity (inverse ?304495)) [304495] by Super 316284 with 316397 at 3
% 288.98/72.63 Id : 345769, {_}: inverse (multiply (inverse ?304495) (multiply (greatest_lower_bound identity (inverse ?304495)) ?304495)) =>= inverse (greatest_lower_bound identity (inverse ?304495)) [304495] by Demod 344891 with 4 at 1,2
% 288.98/72.63 Id : 345770, {_}: multiply (inverse (multiply (greatest_lower_bound identity (inverse ?304495)) ?304495)) ?304495 =>= inverse (greatest_lower_bound identity (inverse ?304495)) [304495] by Demod 345769 with 316983 at 2
% 288.98/72.63 Id : 229, {_}: multiply (greatest_lower_bound ?493 (inverse ?494)) ?494 =>= greatest_lower_bound (multiply ?493 ?494) identity [494, 493] by Super 227 with 3 at 2,3
% 288.98/72.63 Id : 247, {_}: multiply (greatest_lower_bound ?493 (inverse ?494)) ?494 =>= greatest_lower_bound identity (multiply ?493 ?494) [494, 493] by Demod 229 with 5 at 3
% 288.98/72.63 Id : 345771, {_}: multiply (inverse (greatest_lower_bound identity (multiply identity ?304495))) ?304495 =>= inverse (greatest_lower_bound identity (inverse ?304495)) [304495] by Demod 345770 with 247 at 1,1,2
% 288.98/72.63 Id : 345772, {_}: multiply (inverse (greatest_lower_bound identity ?304495)) ?304495 =>= inverse (greatest_lower_bound identity (inverse ?304495)) [304495] by Demod 345771 with 2 at 2,1,1,2
% 288.98/72.63 Id : 346697, {_}: multiply (inverse (greatest_lower_bound ?305353 identity)) ?305353 =>= inverse (greatest_lower_bound identity (inverse ?305353)) [305353] by Super 76884 with 345772 at 3
% 288.98/72.63 Id : 347662, {_}: multiply (least_upper_bound ?305981 identity) (inverse (inverse (greatest_lower_bound identity (inverse ?305981)))) =<= multiply (least_upper_bound identity (inverse ?305981)) (inverse (inverse (greatest_lower_bound ?305981 identity))) [305981] by Super 316227 with 346697 at 1,2,2
% 288.98/72.63 Id : 347728, {_}: multiply (least_upper_bound ?305981 identity) (greatest_lower_bound identity (inverse ?305981)) =<= multiply (least_upper_bound identity (inverse ?305981)) (inverse (inverse (greatest_lower_bound ?305981 identity))) [305981] by Demod 347662 with 470 at 2,2
% 288.98/72.63 Id : 347729, {_}: multiply (least_upper_bound ?305981 identity) (greatest_lower_bound identity (inverse ?305981)) =<= multiply (least_upper_bound identity (inverse ?305981)) (greatest_lower_bound ?305981 identity) [305981] by Demod 347728 with 470 at 2,3
% 288.98/72.63 Id : 316505, {_}: multiply (multiply ?283554 ?283555) (inverse (multiply (least_upper_bound ?283554 identity) ?283555)) =>= inverse (least_upper_bound identity (inverse ?283554)) [283555, 283554] by Super 316346 with 269543 at 1,2,2
% 288.98/72.63 Id : 316831, {_}: multiply ?283554 (multiply ?283555 (inverse (multiply (least_upper_bound ?283554 identity) ?283555))) =>= inverse (least_upper_bound identity (inverse ?283554)) [283555, 283554] by Demod 316505 with 4 at 2
% 288.98/72.63 Id : 316832, {_}: multiply ?283554 (inverse (least_upper_bound ?283554 identity)) =>= inverse (least_upper_bound identity (inverse ?283554)) [283554] by Demod 316831 with 315893 at 2,2
% 289.26/72.63 Id : 320080, {_}: multiply (inverse (least_upper_bound ?286714 identity)) (inverse (inverse (least_upper_bound identity (inverse ?286714)))) =>= inverse ?286714 [286714] by Super 315893 with 316832 at 1,2,2
% 289.26/72.63 Id : 320145, {_}: inverse (multiply (inverse (least_upper_bound identity (inverse ?286714))) (least_upper_bound ?286714 identity)) =>= inverse ?286714 [286714] by Demod 320080 with 316284 at 2
% 289.26/72.63 Id : 320146, {_}: multiply (inverse (least_upper_bound ?286714 identity)) (least_upper_bound identity (inverse ?286714)) =>= inverse ?286714 [286714] by Demod 320145 with 316983 at 2
% 289.26/72.63 Id : 392477, {_}: greatest_lower_bound (least_upper_bound ?332677 identity) (least_upper_bound identity (inverse ?332677)) =<= multiply (least_upper_bound ?332677 identity) (greatest_lower_bound identity (inverse ?332677)) [332677] by Super 1281 with 320146 at 2,2,3
% 289.26/72.63 Id : 393337, {_}: greatest_lower_bound (least_upper_bound ?305981 identity) (least_upper_bound identity (inverse ?305981)) =<= multiply (least_upper_bound identity (inverse ?305981)) (greatest_lower_bound ?305981 identity) [305981] by Demod 347729 with 392477 at 2
% 289.26/72.63 Id : 401531, {_}: greatest_lower_bound (least_upper_bound ?337078 identity) (least_upper_bound identity (inverse ?337078)) =<= least_upper_bound (greatest_lower_bound ?337078 identity) (inverse (inverse (greatest_lower_bound identity (inverse ?337078)))) [337078] by Demod 400733 with 393337 at 2
% 289.26/72.63 Id : 401532, {_}: greatest_lower_bound (least_upper_bound ?337078 identity) (least_upper_bound identity (inverse ?337078)) =<= least_upper_bound (greatest_lower_bound ?337078 identity) (greatest_lower_bound identity (inverse ?337078)) [337078] by Demod 401531 with 470 at 2,3
% 289.26/72.63 Id : 402580, {_}: greatest_lower_bound (least_upper_bound ?309828 identity) (least_upper_bound identity (inverse ?309828)) =<= multiply (greatest_lower_bound identity (inverse ?309828)) (least_upper_bound ?309828 identity) [309828] by Demod 383433 with 401532 at 2
% 289.26/72.63 Id : 316359, {_}: multiply ?283131 (inverse (greatest_lower_bound identity (multiply ?283132 ?283131))) =>= inverse (greatest_lower_bound (inverse ?283131) ?283132) [283132, 283131] by Super 316346 with 232 at 1,2,2
% 289.26/72.63 Id : 343608, {_}: multiply (greatest_lower_bound (inverse (greatest_lower_bound identity (multiply ?303767 ?303768))) identity) (inverse (inverse (greatest_lower_bound (inverse ?303768) ?303767))) =>= multiply (greatest_lower_bound identity (inverse (inverse (greatest_lower_bound identity (multiply ?303767 ?303768))))) (inverse ?303768) [303768, 303767] by Super 316236 with 316359 at 1,2,2
% 289.26/72.63 Id : 343858, {_}: multiply (greatest_lower_bound identity (inverse (greatest_lower_bound identity (multiply ?303767 ?303768)))) (inverse (inverse (greatest_lower_bound (inverse ?303768) ?303767))) =>= multiply (greatest_lower_bound identity (inverse (inverse (greatest_lower_bound identity (multiply ?303767 ?303768))))) (inverse ?303768) [303768, 303767] by Demod 343608 with 5 at 1,2
% 289.26/72.63 Id : 343859, {_}: multiply (greatest_lower_bound identity (inverse (greatest_lower_bound identity (multiply ?303767 ?303768)))) (greatest_lower_bound (inverse ?303768) ?303767) =>= multiply (greatest_lower_bound identity (inverse (inverse (greatest_lower_bound identity (multiply ?303767 ?303768))))) (inverse ?303768) [303768, 303767] by Demod 343858 with 470 at 2,2
% 289.26/72.63 Id : 343860, {_}: multiply (greatest_lower_bound identity (inverse (greatest_lower_bound identity (multiply ?303767 ?303768)))) (greatest_lower_bound (inverse ?303768) ?303767) =>= multiply (greatest_lower_bound identity (greatest_lower_bound identity (multiply ?303767 ?303768))) (inverse ?303768) [303768, 303767] by Demod 343859 with 470 at 2,1,3
% 289.26/72.63 Id : 6000, {_}: inverse (greatest_lower_bound identity ?10141) =<= least_upper_bound identity (inverse (greatest_lower_bound identity ?10141)) [10141] by Demod 5903 with 430 at 2
% 289.26/72.63 Id : 6022, {_}: greatest_lower_bound identity (inverse (greatest_lower_bound identity ?10200)) =>= identity [10200] by Super 12 with 6000 at 2,2
% 289.26/72.63 Id : 343861, {_}: multiply identity (greatest_lower_bound (inverse ?303768) ?303767) =<= multiply (greatest_lower_bound identity (greatest_lower_bound identity (multiply ?303767 ?303768))) (inverse ?303768) [303767, 303768] by Demod 343860 with 6022 at 1,2
% 289.26/72.63 Id : 343862, {_}: multiply identity (greatest_lower_bound (inverse ?303768) ?303767) =<= multiply (greatest_lower_bound identity (multiply ?303767 ?303768)) (inverse ?303768) [303767, 303768] by Demod 343861 with 78 at 1,3
% 289.26/72.63 Id : 498552, {_}: greatest_lower_bound (inverse ?403174) ?403175 =<= multiply (greatest_lower_bound identity (multiply ?403175 ?403174)) (inverse ?403174) [403175, 403174] by Demod 343862 with 2 at 2
% 289.26/72.63 Id : 498818, {_}: greatest_lower_bound (inverse (greatest_lower_bound identity (inverse ?403974))) (least_upper_bound ?403974 identity) =<= multiply (greatest_lower_bound identity (greatest_lower_bound (least_upper_bound ?403974 identity) (least_upper_bound identity (inverse ?403974)))) (inverse (greatest_lower_bound identity (inverse ?403974))) [403974] by Super 498552 with 392477 at 2,1,3
% 289.26/72.63 Id : 499757, {_}: greatest_lower_bound (least_upper_bound ?403974 identity) (inverse (greatest_lower_bound identity (inverse ?403974))) =<= multiply (greatest_lower_bound identity (greatest_lower_bound (least_upper_bound ?403974 identity) (least_upper_bound identity (inverse ?403974)))) (inverse (greatest_lower_bound identity (inverse ?403974))) [403974] by Demod 498818 with 5 at 2
% 289.26/72.63 Id : 677, {_}: greatest_lower_bound ?1215 (greatest_lower_bound (least_upper_bound ?1216 ?1215) ?1217) =>= greatest_lower_bound ?1215 ?1217 [1217, 1216, 1215] by Super 7 with 103 at 1,3
% 289.26/72.63 Id : 499758, {_}: greatest_lower_bound (least_upper_bound ?403974 identity) (inverse (greatest_lower_bound identity (inverse ?403974))) =<= multiply (greatest_lower_bound identity (least_upper_bound identity (inverse ?403974))) (inverse (greatest_lower_bound identity (inverse ?403974))) [403974] by Demod 499757 with 677 at 1,3
% 289.26/72.63 Id : 499759, {_}: greatest_lower_bound (least_upper_bound ?403974 identity) (inverse (greatest_lower_bound identity (inverse ?403974))) =>= multiply identity (inverse (greatest_lower_bound identity (inverse ?403974))) [403974] by Demod 499758 with 12 at 1,3
% 289.26/72.63 Id : 499760, {_}: greatest_lower_bound (least_upper_bound ?403974 identity) (inverse (greatest_lower_bound identity (inverse ?403974))) =>= inverse (greatest_lower_bound identity (inverse ?403974)) [403974] by Demod 499759 with 2 at 3
% 289.26/72.63 Id : 583627, {_}: least_upper_bound (least_upper_bound ?463174 identity) (inverse (greatest_lower_bound identity (inverse ?463174))) =>= least_upper_bound ?463174 identity [463174] by Super 11 with 499760 at 2,2
% 289.26/72.63 Id : 583870, {_}: least_upper_bound ?463174 (least_upper_bound identity (inverse (greatest_lower_bound identity (inverse ?463174)))) =>= least_upper_bound ?463174 identity [463174] by Demod 583627 with 8 at 2
% 289.26/72.63 Id : 583871, {_}: least_upper_bound ?463174 (inverse (greatest_lower_bound identity (inverse ?463174))) =>= least_upper_bound ?463174 identity [463174] by Demod 583870 with 6000 at 2,2
% 289.26/72.63 Id : 563, {_}: multiply (least_upper_bound ?1051 ?1052) (inverse ?1052) =>= least_upper_bound (multiply ?1051 (inverse ?1052)) identity [1052, 1051] by Super 15 with 446 at 2,3
% 289.26/72.63 Id : 573, {_}: multiply (least_upper_bound ?1051 ?1052) (inverse ?1052) =>= least_upper_bound identity (multiply ?1051 (inverse ?1052)) [1052, 1051] by Demod 563 with 6 at 3
% 289.26/72.63 Id : 45806, {_}: greatest_lower_bound (inverse (least_upper_bound ?55091 ?55092)) (inverse ?55092) =<= multiply (inverse (least_upper_bound ?55091 ?55092)) (greatest_lower_bound identity (least_upper_bound identity (multiply ?55091 (inverse ?55092)))) [55092, 55091] by Super 45787 with 573 at 2,2,3
% 289.26/72.63 Id : 45931, {_}: greatest_lower_bound (inverse ?55092) (inverse (least_upper_bound ?55091 ?55092)) =<= multiply (inverse (least_upper_bound ?55091 ?55092)) (greatest_lower_bound identity (least_upper_bound identity (multiply ?55091 (inverse ?55092)))) [55091, 55092] by Demod 45806 with 5 at 2
% 289.26/72.63 Id : 45932, {_}: greatest_lower_bound (inverse ?55092) (inverse (least_upper_bound ?55091 ?55092)) =>= multiply (inverse (least_upper_bound ?55091 ?55092)) identity [55091, 55092] by Demod 45931 with 12 at 2,3
% 289.26/72.63 Id : 45933, {_}: greatest_lower_bound (inverse ?55092) (inverse (least_upper_bound ?55091 ?55092)) =>= inverse (least_upper_bound ?55091 ?55092) [55091, 55092] by Demod 45932 with 430 at 3
% 289.26/72.63 Id : 57974, {_}: least_upper_bound (inverse ?66104) (inverse (least_upper_bound ?66105 ?66104)) =>= inverse ?66104 [66105, 66104] by Super 11 with 45933 at 2,2
% 289.26/72.63 Id : 57983, {_}: least_upper_bound (inverse (greatest_lower_bound ?66134 ?66135)) (inverse ?66135) =>= inverse (greatest_lower_bound ?66134 ?66135) [66135, 66134] by Super 57974 with 88 at 1,2,2
% 289.26/72.63 Id : 62892, {_}: least_upper_bound (inverse ?69921) (inverse (greatest_lower_bound ?69922 ?69921)) =>= inverse (greatest_lower_bound ?69922 ?69921) [69922, 69921] by Demod 57983 with 6 at 2
% 289.26/72.63 Id : 62986, {_}: least_upper_bound ?70205 (inverse (greatest_lower_bound ?70206 (inverse ?70205))) =>= inverse (greatest_lower_bound ?70206 (inverse ?70205)) [70206, 70205] by Super 62892 with 470 at 1,2
% 289.26/72.63 Id : 583872, {_}: inverse (greatest_lower_bound identity (inverse ?463174)) =>= least_upper_bound ?463174 identity [463174] by Demod 583871 with 62986 at 2
% 289.26/72.63 Id : 584665, {_}: inverse (least_upper_bound ?463884 identity) =<= greatest_lower_bound identity (inverse ?463884) [463884] by Super 470 with 583872 at 1,2
% 289.26/72.63 Id : 586099, {_}: greatest_lower_bound (least_upper_bound ?309828 identity) (least_upper_bound identity (inverse ?309828)) =<= multiply (inverse (least_upper_bound ?309828 identity)) (least_upper_bound ?309828 identity) [309828] by Demod 402580 with 584665 at 1,3
% 289.26/72.63 Id : 586182, {_}: greatest_lower_bound (least_upper_bound ?309828 identity) (least_upper_bound identity (inverse ?309828)) =>= identity [309828] by Demod 586099 with 3 at 3
% 289.26/72.63 Id : 587408, {_}: identity =?= identity [] by Demod 587407 with 586182 at 2
% 289.26/72.63 Id : 587407, {_}: greatest_lower_bound (least_upper_bound a identity) (least_upper_bound identity (inverse a)) =>= identity [] by Demod 1 with 6 at 2,2
% 289.26/72.63 Id : 1, {_}: greatest_lower_bound (least_upper_bound a identity) (least_upper_bound (inverse a) identity) =>= identity [] by prove_20x
% 289.26/72.63 % SZS output end CNFRefutation for theBenchmark.p
% 289.26/72.63 8838: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 72.273579 using kbo
%------------------------------------------------------------------------------