TSTP Solution File: GRP184-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP184-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n019.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 272.06s 68.39s
% Output : CNFRefutation 272.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP184-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 13:56:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 25570: Facts:
% 0.13/0.35 25570: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.35 25570: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.13/0.35 25570: Id : 4, {_}:
% 0.13/0.35 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.13/0.35 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.13/0.35 25570: Id : 5, {_}:
% 0.13/0.35 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.13/0.35 [11, 10] by symmetry_of_glb ?10 ?11
% 0.13/0.35 25570: Id : 6, {_}:
% 0.13/0.35 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.13/0.35 [14, 13] by symmetry_of_lub ?13 ?14
% 0.13/0.35 25570: Id : 7, {_}:
% 0.13/0.35 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.13/0.35 =?=
% 0.13/0.35 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.13/0.35 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.13/0.35 25570: Id : 8, {_}:
% 0.13/0.35 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.13/0.35 =?=
% 0.13/0.35 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.13/0.35 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.13/0.35 25570: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.13/0.35 25570: Id : 10, {_}:
% 0.13/0.35 greatest_lower_bound ?26 ?26 =>= ?26
% 0.13/0.35 [26] by idempotence_of_gld ?26
% 0.13/0.35 25570: Id : 11, {_}:
% 0.13/0.35 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.13/0.35 [29, 28] by lub_absorbtion ?28 ?29
% 0.13/0.35 25570: Id : 12, {_}:
% 0.13/0.35 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.13/0.35 [32, 31] by glb_absorbtion ?31 ?32
% 0.13/0.35 25570: Id : 13, {_}:
% 0.13/0.35 multiply ?34 (least_upper_bound ?35 ?36)
% 0.13/0.35 =<=
% 0.13/0.35 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.13/0.35 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.13/0.35 25570: Id : 14, {_}:
% 0.13/0.35 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.13/0.35 =<=
% 0.13/0.35 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.13/0.35 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.13/0.35 25570: Id : 15, {_}:
% 0.13/0.35 multiply (least_upper_bound ?42 ?43) ?44
% 0.13/0.35 =<=
% 0.13/0.35 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.13/0.35 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.13/0.35 25570: Id : 16, {_}:
% 0.13/0.35 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.13/0.35 =<=
% 0.13/0.35 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.13/0.35 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.13/0.35 25570: Goal:
% 0.13/0.35 25570: Id : 1, {_}:
% 0.13/0.35 multiply (least_upper_bound a identity)
% 0.13/0.35 (inverse (greatest_lower_bound a identity))
% 0.13/0.35 =>=
% 0.13/0.35 multiply (inverse (greatest_lower_bound a identity))
% 0.13/0.35 (least_upper_bound a identity)
% 0.13/0.35 [] by prove_p21
% 272.06/68.39 Statistics :
% 272.06/68.39 Max weight : 22
% 272.06/68.39 Found proof, 68.048645s
% 272.06/68.39 % SZS status Unsatisfiable for theBenchmark.p
% 272.06/68.39 % SZS output start CNFRefutation for theBenchmark.p
% 272.06/68.39 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
% 272.06/68.39 Id : 11, {_}: least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28 [29, 28] by lub_absorbtion ?28 ?29
% 272.06/68.39 Id : 12, {_}: greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31 [32, 31] by glb_absorbtion ?31 ?32
% 272.06/68.39 Id : 149, {_}: 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
% 272.06/68.39 Id : 10, {_}: greatest_lower_bound ?26 ?26 =>= ?26 [26] by idempotence_of_gld ?26
% 272.06/68.39 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
% 272.06/68.39 Id : 217, {_}: 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
% 272.06/68.39 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
% 272.06/68.39 Id : 57, {_}: least_upper_bound ?151 (least_upper_bound ?152 ?153) =<= least_upper_bound (least_upper_bound ?151 ?152) ?153 [153, 152, 151] by associativity_of_lub ?151 ?152 ?153
% 272.06/68.39 Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 272.06/68.39 Id : 96, {_}: greatest_lower_bound ?251 (least_upper_bound ?251 ?252) =>= ?251 [252, 251] by glb_absorbtion ?251 ?252
% 272.06/68.39 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 272.06/68.39 Id : 82, {_}: least_upper_bound ?217 (greatest_lower_bound ?217 ?218) =>= ?217 [218, 217] by lub_absorbtion ?217 ?218
% 272.06/68.39 Id : 114, {_}: 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
% 272.06/68.39 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
% 272.06/68.39 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 272.06/68.39 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =>= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 272.06/68.39 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
% 272.06/68.39 Id : 187, {_}: 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
% 272.06/68.39 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 272.06/68.39 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 272.06/68.39 Id : 21, {_}: multiply (multiply ?57 ?58) ?59 =>= multiply ?57 (multiply ?58 ?59) [59, 58, 57] by associativity ?57 ?58 ?59
% 272.06/68.39 Id : 23, {_}: multiply identity ?64 =<= multiply (inverse ?65) (multiply ?65 ?64) [65, 64] by Super 21 with 3 at 1,2
% 272.06/68.39 Id : 27, {_}: ?64 =<= multiply (inverse ?65) (multiply ?65 ?64) [65, 64] by Demod 23 with 2 at 2
% 272.06/68.39 Id : 192, {_}: multiply (least_upper_bound (inverse ?437) ?438) ?437 =>= least_upper_bound identity (multiply ?438 ?437) [438, 437] by Super 187 with 3 at 1,3
% 272.06/68.40 Id : 296, {_}: ?625 =<= multiply (inverse ?626) (multiply ?626 ?625) [626, 625] by Demod 23 with 2 at 2
% 272.06/68.40 Id : 426, {_}: multiply ?820 ?821 =<= multiply (inverse (inverse ?820)) ?821 [821, 820] by Super 296 with 27 at 2,3
% 272.06/68.40 Id : 428, {_}: multiply ?825 (inverse ?825) =>= identity [825] by Super 426 with 3 at 3
% 272.06/68.40 Id : 541, {_}: multiply ?1048 (least_upper_bound (inverse ?1048) ?1049) =>= least_upper_bound identity (multiply ?1048 ?1049) [1049, 1048] by Super 13 with 428 at 1,3
% 272.06/68.40 Id : 70737, {_}: least_upper_bound (inverse ?77742) ?77743 =<= multiply (inverse ?77742) (least_upper_bound identity (multiply ?77742 ?77743)) [77743, 77742] by Super 27 with 541 at 2,3
% 272.06/68.40 Id : 429, {_}: multiply ?827 (multiply (inverse ?827) ?828) =>= ?828 [828, 827] by Super 426 with 27 at 3
% 272.06/68.40 Id : 70751, {_}: least_upper_bound (inverse ?77783) (multiply (inverse ?77783) ?77784) =>= multiply (inverse ?77783) (least_upper_bound identity ?77784) [77784, 77783] by Super 70737 with 429 at 2,2,3
% 272.06/68.40 Id : 71112, {_}: multiply (multiply (inverse ?78097) (least_upper_bound identity ?78098)) ?78097 =>= least_upper_bound identity (multiply (multiply (inverse ?78097) ?78098) ?78097) [78098, 78097] by Super 192 with 70751 at 1,2
% 272.06/68.40 Id : 71242, {_}: multiply (inverse ?78097) (multiply (least_upper_bound identity ?78098) ?78097) =>= least_upper_bound identity (multiply (multiply (inverse ?78097) ?78098) ?78097) [78098, 78097] by Demod 71112 with 4 at 2
% 272.06/68.40 Id : 172416, {_}: multiply (inverse ?166842) (multiply (least_upper_bound identity ?166843) ?166842) =>= least_upper_bound identity (multiply (inverse ?166842) (multiply ?166843 ?166842)) [166843, 166842] by Demod 71242 with 4 at 2,3
% 272.06/68.40 Id : 298, {_}: ?630 =<= multiply (inverse (inverse ?630)) identity [630] by Super 296 with 3 at 2,3
% 272.06/68.40 Id : 300, {_}: multiply ?636 ?637 =<= multiply (inverse (inverse ?636)) ?637 [637, 636] by Super 296 with 27 at 2,3
% 272.06/68.40 Id : 412, {_}: ?630 =<= multiply ?630 identity [630] by Demod 298 with 300 at 3
% 272.06/68.40 Id : 413, {_}: inverse (inverse ?774) =<= multiply ?774 identity [774] by Super 412 with 300 at 3
% 272.06/68.40 Id : 452, {_}: inverse (inverse ?774) =>= ?774 [774] by Demod 413 with 412 at 3
% 272.06/68.40 Id : 172551, {_}: multiply ?167279 (multiply (least_upper_bound identity ?167280) (inverse ?167279)) =<= least_upper_bound identity (multiply (inverse (inverse ?167279)) (multiply ?167280 (inverse ?167279))) [167280, 167279] by Super 172416 with 452 at 1,2
% 272.06/68.40 Id : 173075, {_}: multiply ?167279 (multiply (least_upper_bound identity ?167280) (inverse ?167279)) =>= least_upper_bound identity (multiply ?167279 (multiply ?167280 (inverse ?167279))) [167280, 167279] by Demod 172551 with 452 at 1,2,3
% 272.06/68.40 Id : 219507, {_}: multiply (least_upper_bound identity ?207418) (inverse ?207419) =<= multiply (inverse ?207419) (least_upper_bound identity (multiply ?207419 (multiply ?207418 (inverse ?207419)))) [207419, 207418] by Super 27 with 173075 at 2,3
% 272.06/68.40 Id : 2294, {_}: least_upper_bound (inverse ?3967) ?3968 =<= multiply (inverse ?3967) (least_upper_bound identity (multiply ?3967 ?3968)) [3968, 3967] by Super 27 with 541 at 2,3
% 272.06/68.40 Id : 220402, {_}: multiply (least_upper_bound identity ?208463) (inverse ?208464) =<= least_upper_bound (inverse ?208464) (multiply ?208463 (inverse ?208464)) [208464, 208463] by Demod 219507 with 2294 at 3
% 272.06/68.40 Id : 220450, {_}: multiply (least_upper_bound identity (least_upper_bound (inverse (inverse ?208637)) ?208638)) (inverse ?208637) =>= least_upper_bound (inverse ?208637) (least_upper_bound identity (multiply ?208638 (inverse ?208637))) [208638, 208637] by Super 220402 with 192 at 2,3
% 272.06/68.40 Id : 220686, {_}: multiply (least_upper_bound identity (least_upper_bound ?208637 ?208638)) (inverse ?208637) =<= least_upper_bound (inverse ?208637) (least_upper_bound identity (multiply ?208638 (inverse ?208637))) [208638, 208637] by Demod 220450 with 452 at 1,2,1,2
% 272.06/68.40 Id : 55, {_}: least_upper_bound ?143 (least_upper_bound ?144 ?145) =?= least_upper_bound ?144 (least_upper_bound ?145 ?143) [145, 144, 143] by Super 6 with 8 at 3
% 272.06/68.40 Id : 220687, {_}: multiply (least_upper_bound identity (least_upper_bound ?208637 ?208638)) (inverse ?208637) =<= least_upper_bound identity (least_upper_bound (multiply ?208638 (inverse ?208637)) (inverse ?208637)) [208638, 208637] by Demod 220686 with 55 at 3
% 272.06/68.40 Id : 220688, {_}: multiply (least_upper_bound identity (least_upper_bound ?208637 ?208638)) (inverse ?208637) =<= least_upper_bound identity (least_upper_bound (inverse ?208637) (multiply ?208638 (inverse ?208637))) [208638, 208637] by Demod 220687 with 6 at 2,3
% 272.06/68.40 Id : 219842, {_}: multiply (least_upper_bound identity ?207418) (inverse ?207419) =<= least_upper_bound (inverse ?207419) (multiply ?207418 (inverse ?207419)) [207419, 207418] by Demod 219507 with 2294 at 3
% 272.06/68.40 Id : 257199, {_}: multiply (least_upper_bound identity (least_upper_bound ?235277 ?235278)) (inverse ?235277) =>= least_upper_bound identity (multiply (least_upper_bound identity ?235278) (inverse ?235277)) [235278, 235277] by Demod 220688 with 219842 at 2,3
% 272.06/68.40 Id : 257201, {_}: multiply (least_upper_bound identity (least_upper_bound (inverse ?235282) ?235283)) ?235282 =?= least_upper_bound identity (multiply (least_upper_bound identity ?235283) (inverse (inverse ?235282))) [235283, 235282] by Super 257199 with 452 at 2,2
% 272.06/68.40 Id : 257588, {_}: multiply (least_upper_bound identity (least_upper_bound (inverse ?235282) ?235283)) ?235282 =>= least_upper_bound identity (multiply (least_upper_bound identity ?235283) ?235282) [235283, 235282] by Demod 257201 with 452 at 2,2,3
% 272.06/68.40 Id : 249406, {_}: multiply (least_upper_bound identity ?229131) ?229132 =?= least_upper_bound ?229132 (multiply ?229131 ?229132) [229132, 229131] by Super 187 with 2 at 1,3
% 272.06/68.40 Id : 249417, {_}: multiply (least_upper_bound identity (least_upper_bound (inverse ?229165) ?229166)) ?229165 =>= least_upper_bound ?229165 (least_upper_bound identity (multiply ?229166 ?229165)) [229166, 229165] by Super 249406 with 192 at 2,3
% 272.06/68.40 Id : 288529, {_}: least_upper_bound ?235282 (least_upper_bound identity (multiply ?235283 ?235282)) =?= least_upper_bound identity (multiply (least_upper_bound identity ?235283) ?235282) [235283, 235282] by Demod 257588 with 249417 at 2
% 272.06/68.40 Id : 190, {_}: 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 187 with 4 at 2,3
% 272.06/68.40 Id : 191, {_}: multiply (least_upper_bound identity ?434) ?435 =?= least_upper_bound ?435 (multiply ?434 ?435) [435, 434] by Super 187 with 2 at 1,3
% 272.06/68.40 Id : 269138, {_}: multiply (least_upper_bound ?244913 (multiply ?244914 ?244913)) ?244915 =>= multiply (least_upper_bound identity ?244914) (multiply ?244913 ?244915) [244915, 244914, 244913] by Super 190 with 191 at 3
% 272.06/68.40 Id : 269140, {_}: multiply (least_upper_bound ?244920 identity) ?244921 =<= multiply (least_upper_bound identity (inverse ?244920)) (multiply ?244920 ?244921) [244921, 244920] by Super 269138 with 3 at 2,1,2
% 272.06/68.40 Id : 538, {_}: identity =<= multiply ?1041 (multiply ?1042 (inverse (multiply ?1041 ?1042))) [1042, 1041] by Super 4 with 428 at 2
% 272.06/68.40 Id : 315054, {_}: multiply ?281807 (inverse (multiply ?281808 ?281807)) =>= multiply (inverse ?281808) identity [281808, 281807] by Super 27 with 538 at 2,3
% 272.06/68.40 Id : 315458, {_}: multiply ?281807 (inverse (multiply ?281808 ?281807)) =>= inverse ?281808 [281808, 281807] by Demod 315054 with 412 at 3
% 272.06/68.40 Id : 315791, {_}: multiply (least_upper_bound ?282711 identity) (inverse (multiply ?282712 ?282711)) =>= multiply (least_upper_bound identity (inverse ?282711)) (inverse ?282712) [282712, 282711] by Super 269140 with 315458 at 2,3
% 272.06/68.40 Id : 315848, {_}: inverse (multiply ?282898 ?282899) =<= multiply (inverse ?282899) (inverse ?282898) [282899, 282898] by Super 27 with 315458 at 2,3
% 272.06/68.40 Id : 315910, {_}: multiply ?283103 (inverse (multiply ?283104 ?283103)) =>= inverse ?283104 [283104, 283103] by Demod 315054 with 412 at 3
% 272.06/68.40 Id : 220861, {_}: multiply (least_upper_bound identity (inverse ?209066)) (inverse ?209066) =>= multiply (inverse ?209066) (least_upper_bound identity (inverse ?209066)) [209066] by Super 70751 with 219842 at 2
% 272.06/68.40 Id : 220863, {_}: multiply (least_upper_bound identity (inverse (inverse ?209069))) ?209069 =<= multiply (inverse (inverse ?209069)) (least_upper_bound identity (inverse (inverse ?209069))) [209069] by Super 220861 with 452 at 2,2
% 272.06/68.40 Id : 221092, {_}: multiply (least_upper_bound identity ?209069) ?209069 =<= multiply (inverse (inverse ?209069)) (least_upper_bound identity (inverse (inverse ?209069))) [209069] by Demod 220863 with 452 at 2,1,2
% 272.06/68.40 Id : 221093, {_}: multiply (least_upper_bound identity ?209069) ?209069 =<= multiply ?209069 (least_upper_bound identity (inverse (inverse ?209069))) [209069] by Demod 221092 with 452 at 1,3
% 272.06/68.40 Id : 221094, {_}: multiply (least_upper_bound identity ?209069) ?209069 =>= multiply ?209069 (least_upper_bound identity ?209069) [209069] by Demod 221093 with 452 at 2,2,3
% 272.06/68.40 Id : 315984, {_}: multiply ?283318 (inverse (multiply ?283318 (least_upper_bound identity ?283318))) =>= inverse (least_upper_bound identity ?283318) [283318] by Super 315910 with 221094 at 1,2,2
% 272.35/68.43 Id : 353497, {_}: inverse (multiply (multiply (inverse ?308554) (least_upper_bound identity (inverse ?308554))) ?308554) =>= inverse (least_upper_bound identity (inverse ?308554)) [308554] by Super 315848 with 315984 at 3
% 272.35/68.43 Id : 353700, {_}: inverse (multiply (inverse ?308554) (multiply (least_upper_bound identity (inverse ?308554)) ?308554)) =>= inverse (least_upper_bound identity (inverse ?308554)) [308554] by Demod 353497 with 4 at 1,2
% 272.35/68.43 Id : 316544, {_}: inverse (multiply ?284052 ?284053) =<= multiply (inverse ?284053) (inverse ?284052) [284053, 284052] by Super 27 with 315458 at 2,3
% 272.35/68.43 Id : 316546, {_}: inverse (multiply (inverse ?284057) ?284058) =>= multiply (inverse ?284058) ?284057 [284058, 284057] by Super 316544 with 452 at 2,3
% 272.35/68.43 Id : 353701, {_}: multiply (inverse (multiply (least_upper_bound identity (inverse ?308554)) ?308554)) ?308554 =>= inverse (least_upper_bound identity (inverse ?308554)) [308554] by Demod 353700 with 316546 at 2
% 272.35/68.43 Id : 189, {_}: multiply (least_upper_bound ?426 (inverse ?427)) ?427 =>= least_upper_bound (multiply ?426 ?427) identity [427, 426] by Super 187 with 3 at 2,3
% 272.35/68.43 Id : 205, {_}: multiply (least_upper_bound ?426 (inverse ?427)) ?427 =>= least_upper_bound identity (multiply ?426 ?427) [427, 426] by Demod 189 with 6 at 3
% 272.35/68.43 Id : 353702, {_}: multiply (inverse (least_upper_bound identity (multiply identity ?308554))) ?308554 =>= inverse (least_upper_bound identity (inverse ?308554)) [308554] by Demod 353701 with 205 at 1,1,2
% 272.35/68.43 Id : 353703, {_}: multiply (inverse (least_upper_bound identity ?308554)) ?308554 =>= inverse (least_upper_bound identity (inverse ?308554)) [308554] by Demod 353702 with 2 at 2,1,1,2
% 272.35/68.43 Id : 355290, {_}: multiply (least_upper_bound ?309225 identity) (inverse (inverse (least_upper_bound identity (inverse ?309225)))) =<= multiply (least_upper_bound identity (inverse ?309225)) (inverse (inverse (least_upper_bound identity ?309225))) [309225] by Super 315791 with 353703 at 1,2,2
% 272.35/68.43 Id : 355460, {_}: multiply (least_upper_bound ?309225 identity) (least_upper_bound identity (inverse ?309225)) =<= multiply (least_upper_bound identity (inverse ?309225)) (inverse (inverse (least_upper_bound identity ?309225))) [309225] by Demod 355290 with 452 at 2,2
% 272.35/68.43 Id : 355461, {_}: multiply (least_upper_bound ?309225 identity) (least_upper_bound identity (inverse ?309225)) =<= multiply (least_upper_bound identity (inverse ?309225)) (least_upper_bound identity ?309225) [309225] by Demod 355460 with 452 at 2,3
% 272.35/68.43 Id : 356965, {_}: least_upper_bound (least_upper_bound identity ?310096) (least_upper_bound identity (multiply (inverse ?310096) (least_upper_bound identity ?310096))) =>= least_upper_bound identity (multiply (least_upper_bound ?310096 identity) (least_upper_bound identity (inverse ?310096))) [310096] by Super 288529 with 355461 at 2,2
% 272.35/68.43 Id : 357209, {_}: least_upper_bound identity (least_upper_bound (multiply (inverse ?310096) (least_upper_bound identity ?310096)) (least_upper_bound identity ?310096)) =>= least_upper_bound identity (multiply (least_upper_bound ?310096 identity) (least_upper_bound identity (inverse ?310096))) [310096] by Demod 356965 with 55 at 2
% 272.35/68.43 Id : 116, {_}: multiply (inverse ?301) (least_upper_bound ?302 ?301) =>= least_upper_bound (multiply (inverse ?301) ?302) identity [302, 301] by Super 114 with 3 at 2,3
% 272.35/68.43 Id : 1155, {_}: multiply (inverse ?2053) (least_upper_bound ?2054 ?2053) =>= least_upper_bound identity (multiply (inverse ?2053) ?2054) [2054, 2053] by Demod 116 with 6 at 3
% 272.35/68.43 Id : 83, {_}: least_upper_bound ?220 (greatest_lower_bound ?221 ?220) =>= ?220 [221, 220] by Super 82 with 5 at 2,2
% 272.35/68.43 Id : 1160, {_}: multiply (inverse (greatest_lower_bound ?2067 ?2068)) ?2068 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?2067 ?2068)) ?2068) [2068, 2067] by Super 1155 with 83 at 2,2
% 272.35/68.43 Id : 660, {_}: greatest_lower_bound ?1239 (least_upper_bound ?1240 ?1239) =>= ?1239 [1240, 1239] by Super 96 with 6 at 2,2
% 272.35/68.43 Id : 667, {_}: greatest_lower_bound ?1259 (least_upper_bound ?1260 (least_upper_bound ?1261 ?1259)) =>= ?1259 [1261, 1260, 1259] by Super 660 with 8 at 2,2
% 272.35/68.43 Id : 69, {_}: least_upper_bound ?180 (least_upper_bound ?180 ?181) =>= least_upper_bound ?180 ?181 [181, 180] by Super 8 with 9 at 1,3
% 272.35/68.43 Id : 1159, {_}: multiply (inverse (least_upper_bound ?2064 ?2065)) (least_upper_bound ?2064 ?2065) =>= least_upper_bound identity (multiply (inverse (least_upper_bound ?2064 ?2065)) ?2064) [2065, 2064] by Super 1155 with 69 at 2,2
% 272.35/68.43 Id : 19629, {_}: identity =<= least_upper_bound identity (multiply (inverse (least_upper_bound ?26210 ?26211)) ?26210) [26211, 26210] by Demod 1159 with 3 at 2
% 272.35/68.43 Id : 19841, {_}: identity =<= least_upper_bound identity (inverse (least_upper_bound identity ?26461)) [26461] by Super 19629 with 412 at 2,3
% 272.35/68.43 Id : 19844, {_}: identity =<= least_upper_bound identity (inverse (least_upper_bound ?26467 identity)) [26467] by Super 19841 with 6 at 1,2,3
% 272.35/68.43 Id : 25339, {_}: greatest_lower_bound (inverse (least_upper_bound ?32759 identity)) (least_upper_bound ?32760 identity) =>= inverse (least_upper_bound ?32759 identity) [32760, 32759] by Super 667 with 19844 at 2,2,2
% 272.35/68.43 Id : 25342, {_}: greatest_lower_bound (inverse (least_upper_bound ?32768 identity)) (least_upper_bound identity ?32769) =>= inverse (least_upper_bound ?32768 identity) [32769, 32768] by Super 25339 with 6 at 2,2
% 272.35/68.43 Id : 40052, {_}: multiply (inverse (greatest_lower_bound (inverse (least_upper_bound ?48556 identity)) (least_upper_bound identity ?48557))) (least_upper_bound identity ?48557) =>= least_upper_bound identity (multiply (inverse (inverse (least_upper_bound ?48556 identity))) (least_upper_bound identity ?48557)) [48557, 48556] by Super 1160 with 25342 at 1,1,2,3
% 272.35/68.43 Id : 40249, {_}: multiply (inverse (inverse (least_upper_bound ?48556 identity))) (least_upper_bound identity ?48557) =<= least_upper_bound identity (multiply (inverse (inverse (least_upper_bound ?48556 identity))) (least_upper_bound identity ?48557)) [48557, 48556] by Demod 40052 with 25342 at 1,1,2
% 272.35/68.43 Id : 40250, {_}: multiply (inverse (inverse (least_upper_bound ?48556 identity))) (least_upper_bound identity ?48557) =>= least_upper_bound identity (multiply (least_upper_bound ?48556 identity) (least_upper_bound identity ?48557)) [48557, 48556] by Demod 40249 with 452 at 1,2,3
% 272.35/68.43 Id : 40251, {_}: multiply (least_upper_bound ?48556 identity) (least_upper_bound identity ?48557) =<= least_upper_bound identity (multiply (least_upper_bound ?48556 identity) (least_upper_bound identity ?48557)) [48557, 48556] by Demod 40250 with 452 at 1,2
% 272.35/68.43 Id : 357210, {_}: least_upper_bound identity (least_upper_bound (multiply (inverse ?310096) (least_upper_bound identity ?310096)) (least_upper_bound identity ?310096)) =>= multiply (least_upper_bound ?310096 identity) (least_upper_bound identity (inverse ?310096)) [310096] by Demod 357209 with 40251 at 3
% 272.35/68.43 Id : 256, {_}: least_upper_bound ?553 (least_upper_bound ?553 ?554) =>= least_upper_bound ?553 ?554 [554, 553] by Super 8 with 9 at 1,3
% 272.35/68.43 Id : 257, {_}: least_upper_bound ?556 (least_upper_bound ?557 ?556) =>= least_upper_bound ?556 ?557 [557, 556] by Super 256 with 6 at 2,2
% 272.35/68.43 Id : 696, {_}: least_upper_bound ?1287 (least_upper_bound (least_upper_bound ?1288 ?1287) ?1289) =>= least_upper_bound (least_upper_bound ?1287 ?1288) ?1289 [1289, 1288, 1287] by Super 8 with 257 at 1,3
% 272.35/68.43 Id : 716, {_}: least_upper_bound ?1287 (least_upper_bound ?1288 (least_upper_bound ?1287 ?1289)) =>= least_upper_bound (least_upper_bound ?1287 ?1288) ?1289 [1289, 1288, 1287] by Demod 696 with 8 at 2,2
% 272.35/68.43 Id : 717, {_}: least_upper_bound ?1287 (least_upper_bound ?1288 (least_upper_bound ?1287 ?1289)) =>= least_upper_bound ?1287 (least_upper_bound ?1288 ?1289) [1289, 1288, 1287] by Demod 716 with 8 at 3
% 272.35/68.43 Id : 357211, {_}: least_upper_bound identity (least_upper_bound (multiply (inverse ?310096) (least_upper_bound identity ?310096)) ?310096) =>= multiply (least_upper_bound ?310096 identity) (least_upper_bound identity (inverse ?310096)) [310096] by Demod 357210 with 717 at 2
% 272.35/68.43 Id : 357212, {_}: least_upper_bound identity (least_upper_bound ?310096 (multiply (inverse ?310096) (least_upper_bound identity ?310096))) =>= multiply (least_upper_bound ?310096 identity) (least_upper_bound identity (inverse ?310096)) [310096] by Demod 357211 with 6 at 2,2
% 272.35/68.43 Id : 130, {_}: multiply (inverse ?301) (least_upper_bound ?302 ?301) =>= least_upper_bound identity (multiply (inverse ?301) ?302) [302, 301] by Demod 116 with 6 at 3
% 272.35/68.43 Id : 357213, {_}: least_upper_bound identity (least_upper_bound ?310096 (least_upper_bound identity (multiply (inverse ?310096) identity))) =>= multiply (least_upper_bound ?310096 identity) (least_upper_bound identity (inverse ?310096)) [310096] by Demod 357212 with 130 at 2,2,2
% 272.35/68.43 Id : 357214, {_}: least_upper_bound identity (least_upper_bound ?310096 (multiply (inverse ?310096) identity)) =<= multiply (least_upper_bound ?310096 identity) (least_upper_bound identity (inverse ?310096)) [310096] by Demod 357213 with 717 at 2
% 272.35/68.43 Id : 357215, {_}: least_upper_bound identity (least_upper_bound ?310096 (inverse ?310096)) =<= multiply (least_upper_bound ?310096 identity) (least_upper_bound identity (inverse ?310096)) [310096] by Demod 357214 with 412 at 2,2,2
% 272.35/68.43 Id : 58, {_}: least_upper_bound ?155 (least_upper_bound ?156 ?157) =<= least_upper_bound (least_upper_bound ?156 ?155) ?157 [157, 156, 155] by Super 57 with 6 at 1,3
% 272.35/68.43 Id : 64, {_}: least_upper_bound ?155 (least_upper_bound ?156 ?157) =?= least_upper_bound ?156 (least_upper_bound ?155 ?157) [157, 156, 155] by Demod 58 with 8 at 3
% 272.35/68.43 Id : 335346, {_}: multiply ?299081 (inverse (least_upper_bound identity (multiply ?299082 ?299081))) =>= inverse (least_upper_bound (inverse ?299081) ?299082) [299082, 299081] by Super 315910 with 192 at 1,2,2
% 272.35/68.43 Id : 71135, {_}: least_upper_bound (inverse ?78171) (multiply (inverse ?78171) ?78172) =>= multiply (inverse ?78171) (least_upper_bound identity ?78172) [78172, 78171] by Super 70737 with 429 at 2,2,3
% 272.35/68.43 Id : 71161, {_}: least_upper_bound (inverse ?78260) (least_upper_bound identity (multiply (inverse ?78260) ?78261)) =>= multiply (inverse ?78260) (least_upper_bound identity (least_upper_bound ?78261 ?78260)) [78261, 78260] by Super 71135 with 130 at 2,2
% 272.35/68.43 Id : 71308, {_}: least_upper_bound identity (least_upper_bound (multiply (inverse ?78260) ?78261) (inverse ?78260)) =>= multiply (inverse ?78260) (least_upper_bound identity (least_upper_bound ?78261 ?78260)) [78261, 78260] by Demod 71161 with 55 at 2
% 272.35/68.43 Id : 71309, {_}: least_upper_bound identity (least_upper_bound (inverse ?78260) (multiply (inverse ?78260) ?78261)) =>= multiply (inverse ?78260) (least_upper_bound identity (least_upper_bound ?78261 ?78260)) [78261, 78260] by Demod 71308 with 6 at 2,2
% 272.35/68.43 Id : 174261, {_}: least_upper_bound identity (multiply (inverse ?168318) (least_upper_bound identity ?168319)) =<= multiply (inverse ?168318) (least_upper_bound identity (least_upper_bound ?168319 ?168318)) [168319, 168318] by Demod 71309 with 70751 at 2,2
% 272.35/68.43 Id : 174420, {_}: least_upper_bound identity (multiply (inverse (inverse ?168799)) (least_upper_bound identity ?168800)) =?= multiply ?168799 (least_upper_bound identity (least_upper_bound ?168800 (inverse ?168799))) [168800, 168799] by Super 174261 with 452 at 1,3
% 272.35/68.43 Id : 175106, {_}: least_upper_bound identity (multiply ?168799 (least_upper_bound identity ?168800)) =<= multiply ?168799 (least_upper_bound identity (least_upper_bound ?168800 (inverse ?168799))) [168800, 168799] by Demod 174420 with 452 at 1,2,2
% 272.35/68.43 Id : 119, {_}: multiply (inverse ?312) (least_upper_bound ?312 ?313) =>= least_upper_bound identity (multiply (inverse ?312) ?313) [313, 312] by Super 114 with 3 at 1,3
% 272.35/68.43 Id : 927, {_}: least_upper_bound ?1750 ?1751 =<= multiply (inverse (inverse ?1750)) (least_upper_bound identity (multiply (inverse ?1750) ?1751)) [1751, 1750] by Super 27 with 119 at 2,3
% 272.35/68.43 Id : 5685, {_}: least_upper_bound ?9879 ?9880 =<= multiply ?9879 (least_upper_bound identity (multiply (inverse ?9879) ?9880)) [9880, 9879] by Demod 927 with 452 at 1,3
% 272.35/68.43 Id : 956, {_}: least_upper_bound ?1750 ?1751 =<= multiply ?1750 (least_upper_bound identity (multiply (inverse ?1750) ?1751)) [1751, 1750] by Demod 927 with 452 at 1,3
% 272.35/68.43 Id : 5701, {_}: least_upper_bound ?9923 (least_upper_bound identity (multiply (inverse (inverse ?9923)) ?9924)) =>= multiply ?9923 (least_upper_bound identity (least_upper_bound (inverse ?9923) ?9924)) [9924, 9923] by Super 5685 with 956 at 2,2,3
% 272.35/68.43 Id : 75677, {_}: least_upper_bound ?82557 (least_upper_bound identity (multiply ?82557 ?82558)) =<= multiply ?82557 (least_upper_bound identity (least_upper_bound (inverse ?82557) ?82558)) [82558, 82557] by Demod 5701 with 452 at 1,2,2,2
% 272.35/68.43 Id : 75700, {_}: least_upper_bound ?82637 (least_upper_bound identity (multiply ?82637 ?82638)) =<= multiply ?82637 (least_upper_bound identity (least_upper_bound ?82638 (inverse ?82637))) [82638, 82637] by Super 75677 with 6 at 2,2,3
% 272.35/68.43 Id : 237576, {_}: least_upper_bound identity (multiply ?221754 (least_upper_bound identity ?221755)) =?= least_upper_bound ?221754 (least_upper_bound identity (multiply ?221754 ?221755)) [221755, 221754] by Demod 175106 with 75700 at 3
% 272.35/68.43 Id : 237642, {_}: least_upper_bound identity (multiply (least_upper_bound identity ?221941) (least_upper_bound identity ?221941)) =<= least_upper_bound (least_upper_bound identity ?221941) (least_upper_bound identity (multiply ?221941 (least_upper_bound identity ?221941))) [221941] by Super 237576 with 221094 at 2,2,3
% 272.35/68.43 Id : 19687, {_}: identity =<= least_upper_bound identity (inverse (least_upper_bound identity ?26374)) [26374] by Super 19629 with 412 at 2,3
% 272.35/68.43 Id : 22057, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?28569)) (least_upper_bound ?28570 identity) =>= inverse (least_upper_bound identity ?28569) [28570, 28569] by Super 667 with 19687 at 2,2,2
% 272.35/68.43 Id : 22060, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?28578)) (least_upper_bound identity ?28579) =>= inverse (least_upper_bound identity ?28578) [28579, 28578] by Super 22057 with 6 at 2,2
% 272.35/68.43 Id : 34236, {_}: multiply (inverse (greatest_lower_bound (inverse (least_upper_bound identity ?41756)) (least_upper_bound identity ?41757))) (least_upper_bound identity ?41757) =>= least_upper_bound identity (multiply (inverse (inverse (least_upper_bound identity ?41756))) (least_upper_bound identity ?41757)) [41757, 41756] by Super 1160 with 22060 at 1,1,2,3
% 272.35/68.43 Id : 34450, {_}: multiply (inverse (inverse (least_upper_bound identity ?41756))) (least_upper_bound identity ?41757) =<= least_upper_bound identity (multiply (inverse (inverse (least_upper_bound identity ?41756))) (least_upper_bound identity ?41757)) [41757, 41756] by Demod 34236 with 22060 at 1,1,2
% 272.35/68.43 Id : 34451, {_}: multiply (inverse (inverse (least_upper_bound identity ?41756))) (least_upper_bound identity ?41757) =>= least_upper_bound identity (multiply (least_upper_bound identity ?41756) (least_upper_bound identity ?41757)) [41757, 41756] by Demod 34450 with 452 at 1,2,3
% 272.35/68.43 Id : 34452, {_}: multiply (least_upper_bound identity ?41756) (least_upper_bound identity ?41757) =<= least_upper_bound identity (multiply (least_upper_bound identity ?41756) (least_upper_bound identity ?41757)) [41757, 41756] by Demod 34451 with 452 at 1,2
% 272.35/68.43 Id : 238777, {_}: multiply (least_upper_bound identity ?221941) (least_upper_bound identity ?221941) =<= least_upper_bound (least_upper_bound identity ?221941) (least_upper_bound identity (multiply ?221941 (least_upper_bound identity ?221941))) [221941] by Demod 237642 with 34452 at 2
% 272.35/68.43 Id : 238778, {_}: multiply (least_upper_bound identity ?221941) (least_upper_bound identity ?221941) =<= least_upper_bound identity (least_upper_bound (multiply ?221941 (least_upper_bound identity ?221941)) (least_upper_bound identity ?221941)) [221941] by Demod 238777 with 55 at 3
% 272.35/68.43 Id : 238779, {_}: multiply (least_upper_bound identity ?221941) (least_upper_bound identity ?221941) =<= least_upper_bound identity (least_upper_bound (multiply ?221941 (least_upper_bound identity ?221941)) ?221941) [221941] by Demod 238778 with 717 at 3
% 272.35/68.43 Id : 238780, {_}: multiply (least_upper_bound identity ?221941) (least_upper_bound identity ?221941) =<= least_upper_bound identity (least_upper_bound ?221941 (multiply ?221941 (least_upper_bound identity ?221941))) [221941] by Demod 238779 with 6 at 2,3
% 272.35/68.43 Id : 536, {_}: multiply ?1035 (greatest_lower_bound (inverse ?1035) ?1036) =>= greatest_lower_bound identity (multiply ?1035 ?1036) [1036, 1035] by Super 14 with 428 at 1,3
% 272.35/68.43 Id : 2074, {_}: greatest_lower_bound (inverse ?3473) ?3474 =<= multiply (inverse ?3473) (greatest_lower_bound identity (multiply ?3473 ?3474)) [3474, 3473] by Super 27 with 536 at 2,3
% 272.35/68.43 Id : 222, {_}: multiply (greatest_lower_bound (inverse ?504) ?505) ?504 =>= greatest_lower_bound identity (multiply ?505 ?504) [505, 504] by Super 217 with 3 at 1,3
% 272.35/68.43 Id : 45607, {_}: greatest_lower_bound (inverse ?55035) ?55036 =<= multiply (inverse ?55035) (greatest_lower_bound identity (multiply ?55035 ?55036)) [55036, 55035] by Super 27 with 536 at 2,3
% 272.35/68.43 Id : 45621, {_}: greatest_lower_bound (inverse ?55076) (multiply (inverse ?55076) ?55077) =>= multiply (inverse ?55076) (greatest_lower_bound identity ?55077) [55077, 55076] by Super 45607 with 429 at 2,2,3
% 272.35/68.43 Id : 45906, {_}: multiply (multiply (inverse ?55327) (greatest_lower_bound identity ?55328)) ?55327 =>= greatest_lower_bound identity (multiply (multiply (inverse ?55327) ?55328) ?55327) [55328, 55327] by Super 222 with 45621 at 1,2
% 272.35/68.43 Id : 46017, {_}: multiply (inverse ?55327) (multiply (greatest_lower_bound identity ?55328) ?55327) =>= greatest_lower_bound identity (multiply (multiply (inverse ?55327) ?55328) ?55327) [55328, 55327] by Demod 45906 with 4 at 2
% 272.35/68.44 Id : 46018, {_}: multiply (inverse ?55327) (multiply (greatest_lower_bound identity ?55328) ?55327) =>= greatest_lower_bound identity (multiply (inverse ?55327) (multiply ?55328 ?55327)) [55328, 55327] by Demod 46017 with 4 at 2,3
% 272.35/68.44 Id : 137121, {_}: greatest_lower_bound (inverse (inverse ?139426)) (multiply (greatest_lower_bound identity ?139427) ?139426) =<= multiply (inverse (inverse ?139426)) (greatest_lower_bound identity (greatest_lower_bound identity (multiply (inverse ?139426) (multiply ?139427 ?139426)))) [139427, 139426] by Super 2074 with 46018 at 2,2,3
% 272.35/68.44 Id : 137317, {_}: greatest_lower_bound ?139426 (multiply (greatest_lower_bound identity ?139427) ?139426) =<= multiply (inverse (inverse ?139426)) (greatest_lower_bound identity (greatest_lower_bound identity (multiply (inverse ?139426) (multiply ?139427 ?139426)))) [139427, 139426] by Demod 137121 with 452 at 1,2
% 272.35/68.44 Id : 137318, {_}: greatest_lower_bound ?139426 (multiply (greatest_lower_bound identity ?139427) ?139426) =<= multiply ?139426 (greatest_lower_bound identity (greatest_lower_bound identity (multiply (inverse ?139426) (multiply ?139427 ?139426)))) [139427, 139426] by Demod 137317 with 452 at 1,3
% 272.35/68.44 Id : 74, {_}: greatest_lower_bound ?193 (greatest_lower_bound ?193 ?194) =>= greatest_lower_bound ?193 ?194 [194, 193] by Super 7 with 10 at 1,3
% 272.35/68.44 Id : 137319, {_}: greatest_lower_bound ?139426 (multiply (greatest_lower_bound identity ?139427) ?139426) =<= multiply ?139426 (greatest_lower_bound identity (multiply (inverse ?139426) (multiply ?139427 ?139426))) [139427, 139426] by Demod 137318 with 74 at 2,3
% 272.35/68.44 Id : 154, {_}: multiply (inverse ?373) (greatest_lower_bound ?373 ?374) =>= greatest_lower_bound identity (multiply (inverse ?373) ?374) [374, 373] by Super 149 with 3 at 1,3
% 272.35/68.44 Id : 1213, {_}: greatest_lower_bound ?2106 ?2107 =<= multiply (inverse (inverse ?2106)) (greatest_lower_bound identity (multiply (inverse ?2106) ?2107)) [2107, 2106] by Super 27 with 154 at 2,3
% 272.35/68.44 Id : 1249, {_}: greatest_lower_bound ?2106 ?2107 =<= multiply ?2106 (greatest_lower_bound identity (multiply (inverse ?2106) ?2107)) [2107, 2106] by Demod 1213 with 452 at 1,3
% 272.35/68.44 Id : 138719, {_}: greatest_lower_bound ?141225 (multiply (greatest_lower_bound identity ?141226) ?141225) =>= greatest_lower_bound ?141225 (multiply ?141226 ?141225) [141226, 141225] by Demod 137319 with 1249 at 3
% 272.35/68.44 Id : 138724, {_}: greatest_lower_bound ?141239 (multiply identity ?141239) =<= greatest_lower_bound ?141239 (multiply (least_upper_bound identity ?141240) ?141239) [141240, 141239] by Super 138719 with 12 at 1,2,2
% 272.35/68.44 Id : 139245, {_}: greatest_lower_bound ?141239 ?141239 =<= greatest_lower_bound ?141239 (multiply (least_upper_bound identity ?141240) ?141239) [141240, 141239] by Demod 138724 with 2 at 2,2
% 272.35/68.44 Id : 139246, {_}: ?141239 =<= greatest_lower_bound ?141239 (multiply (least_upper_bound identity ?141240) ?141239) [141240, 141239] by Demod 139245 with 10 at 2
% 272.35/68.44 Id : 143996, {_}: least_upper_bound (multiply (least_upper_bound identity ?145700) ?145701) ?145701 =>= multiply (least_upper_bound identity ?145700) ?145701 [145701, 145700] by Super 83 with 139246 at 2,2
% 272.35/68.44 Id : 144435, {_}: least_upper_bound ?145701 (multiply (least_upper_bound identity ?145700) ?145701) =>= multiply (least_upper_bound identity ?145700) ?145701 [145700, 145701] by Demod 143996 with 6 at 2
% 272.35/68.44 Id : 221480, {_}: least_upper_bound ?209387 (multiply ?209387 (least_upper_bound identity ?209387)) =>= multiply (least_upper_bound identity ?209387) ?209387 [209387] by Super 144435 with 221094 at 2,2
% 272.35/68.44 Id : 221771, {_}: least_upper_bound ?209387 (multiply ?209387 (least_upper_bound identity ?209387)) =>= multiply ?209387 (least_upper_bound identity ?209387) [209387] by Demod 221480 with 221094 at 3
% 272.35/68.44 Id : 238781, {_}: multiply (least_upper_bound identity ?221941) (least_upper_bound identity ?221941) =>= least_upper_bound identity (multiply ?221941 (least_upper_bound identity ?221941)) [221941] by Demod 238780 with 221771 at 2,3
% 272.35/68.44 Id : 335423, {_}: multiply (least_upper_bound identity ?299304) (inverse (least_upper_bound identity (least_upper_bound identity (multiply ?299304 (least_upper_bound identity ?299304))))) =>= inverse (least_upper_bound (inverse (least_upper_bound identity ?299304)) (least_upper_bound identity ?299304)) [299304] by Super 335346 with 238781 at 2,1,2,2
% 272.35/68.44 Id : 336111, {_}: multiply (least_upper_bound identity ?299304) (inverse (least_upper_bound identity (multiply ?299304 (least_upper_bound identity ?299304)))) =>= inverse (least_upper_bound (inverse (least_upper_bound identity ?299304)) (least_upper_bound identity ?299304)) [299304] by Demod 335423 with 69 at 1,2,2
% 272.35/68.44 Id : 151, {_}: multiply (inverse ?362) (greatest_lower_bound ?363 ?362) =>= greatest_lower_bound (multiply (inverse ?362) ?363) identity [363, 362] by Super 149 with 3 at 2,3
% 272.35/68.44 Id : 167, {_}: multiply (inverse ?362) (greatest_lower_bound ?363 ?362) =>= greatest_lower_bound identity (multiply (inverse ?362) ?363) [363, 362] by Demod 151 with 5 at 3
% 272.35/68.44 Id : 93, {_}: greatest_lower_bound ?241 (greatest_lower_bound (least_upper_bound ?241 ?242) ?243) =>= greatest_lower_bound ?241 ?243 [243, 242, 241] by Super 7 with 12 at 1,3
% 272.35/68.44 Id : 5806, {_}: multiply (inverse (greatest_lower_bound ?10043 ?10044)) ?10043 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?10043 ?10044)) ?10043) [10044, 10043] by Super 1155 with 11 at 2,2
% 272.35/68.44 Id : 5835, {_}: multiply (inverse (greatest_lower_bound identity ?10141)) identity =>= least_upper_bound identity (inverse (greatest_lower_bound identity ?10141)) [10141] by Super 5806 with 412 at 2,3
% 272.35/68.44 Id : 5932, {_}: inverse (greatest_lower_bound identity ?10141) =<= least_upper_bound identity (inverse (greatest_lower_bound identity ?10141)) [10141] by Demod 5835 with 412 at 2
% 272.35/68.44 Id : 7877, {_}: greatest_lower_bound identity (greatest_lower_bound (inverse (greatest_lower_bound identity ?12389)) ?12390) =>= greatest_lower_bound identity ?12390 [12390, 12389] by Super 93 with 5932 at 1,2,2
% 272.35/68.44 Id : 97, {_}: greatest_lower_bound ?254 (least_upper_bound ?255 ?254) =>= ?254 [255, 254] by Super 96 with 6 at 2,2
% 272.35/68.44 Id : 7919, {_}: greatest_lower_bound identity (inverse (greatest_lower_bound identity ?12516)) =<= greatest_lower_bound identity (least_upper_bound ?12517 (inverse (greatest_lower_bound identity ?12516))) [12517, 12516] by Super 7877 with 97 at 2,2
% 272.35/68.44 Id : 5953, {_}: greatest_lower_bound identity (inverse (greatest_lower_bound identity ?10200)) =>= identity [10200] by Super 12 with 5932 at 2,2
% 272.35/68.44 Id : 8085, {_}: identity =<= greatest_lower_bound identity (least_upper_bound ?12517 (inverse (greatest_lower_bound identity ?12516))) [12516, 12517] by Demod 7919 with 5953 at 2
% 272.35/68.44 Id : 19825, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?26427)) identity =>= inverse (least_upper_bound identity ?26427) [26427] by Super 97 with 19687 at 2,2
% 272.35/68.44 Id : 19919, {_}: greatest_lower_bound identity (inverse (least_upper_bound identity ?26427)) =>= inverse (least_upper_bound identity ?26427) [26427] by Demod 19825 with 5 at 2
% 272.35/68.44 Id : 20125, {_}: identity =<= greatest_lower_bound identity (least_upper_bound ?26677 (inverse (inverse (least_upper_bound identity ?26678)))) [26678, 26677] by Super 8085 with 19919 at 1,2,2,3
% 272.35/68.44 Id : 20383, {_}: identity =<= greatest_lower_bound identity (least_upper_bound ?26677 (least_upper_bound identity ?26678)) [26678, 26677] by Demod 20125 with 452 at 2,2,3
% 272.35/68.44 Id : 21657, {_}: multiply (inverse (least_upper_bound ?28107 (least_upper_bound identity ?28108))) identity =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?28107 (least_upper_bound identity ?28108))) identity) [28108, 28107] by Super 167 with 20383 at 2,2
% 272.35/68.44 Id : 21868, {_}: inverse (least_upper_bound ?28107 (least_upper_bound identity ?28108)) =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?28107 (least_upper_bound identity ?28108))) identity) [28108, 28107] by Demod 21657 with 412 at 2
% 272.35/68.44 Id : 21869, {_}: inverse (least_upper_bound ?28107 (least_upper_bound identity ?28108)) =<= greatest_lower_bound identity (inverse (least_upper_bound ?28107 (least_upper_bound identity ?28108))) [28108, 28107] by Demod 21868 with 412 at 2,3
% 272.35/68.44 Id : 20187, {_}: greatest_lower_bound identity (inverse (least_upper_bound identity ?26836)) =>= inverse (least_upper_bound identity ?26836) [26836] by Demod 19825 with 5 at 2
% 272.35/68.44 Id : 20194, {_}: greatest_lower_bound identity (inverse (least_upper_bound ?26850 (least_upper_bound identity ?26851))) =>= inverse (least_upper_bound identity (least_upper_bound ?26850 ?26851)) [26851, 26850] by Super 20187 with 64 at 1,2,2
% 272.35/68.44 Id : 33139, {_}: inverse (least_upper_bound ?28107 (least_upper_bound identity ?28108)) =?= inverse (least_upper_bound identity (least_upper_bound ?28107 ?28108)) [28108, 28107] by Demod 21869 with 20194 at 3
% 272.35/68.44 Id : 336112, {_}: multiply (least_upper_bound identity ?299304) (inverse (least_upper_bound identity (multiply ?299304 (least_upper_bound identity ?299304)))) =>= inverse (least_upper_bound identity (least_upper_bound (inverse (least_upper_bound identity ?299304)) ?299304)) [299304] by Demod 336111 with 33139 at 3
% 272.35/68.44 Id : 315921, {_}: multiply ?283137 (inverse (least_upper_bound identity (multiply ?283138 ?283137))) =>= inverse (least_upper_bound (inverse ?283137) ?283138) [283138, 283137] by Super 315910 with 192 at 1,2,2
% 272.35/68.44 Id : 336113, {_}: inverse (least_upper_bound (inverse (least_upper_bound identity ?299304)) ?299304) =<= inverse (least_upper_bound identity (least_upper_bound (inverse (least_upper_bound identity ?299304)) ?299304)) [299304] by Demod 336112 with 315921 at 2
% 272.35/68.44 Id : 19827, {_}: least_upper_bound identity (least_upper_bound (inverse (least_upper_bound identity ?26431)) ?26432) =>= least_upper_bound identity ?26432 [26432, 26431] by Super 8 with 19687 at 1,3
% 272.35/68.44 Id : 336114, {_}: inverse (least_upper_bound (inverse (least_upper_bound identity ?299304)) ?299304) =>= inverse (least_upper_bound identity ?299304) [299304] by Demod 336113 with 19827 at 1,3
% 272.35/68.44 Id : 543, {_}: multiply (least_upper_bound ?1054 ?1055) (inverse ?1054) =>= least_upper_bound identity (multiply ?1055 (inverse ?1054)) [1055, 1054] by Super 15 with 428 at 1,3
% 272.35/68.44 Id : 45625, {_}: greatest_lower_bound (inverse (least_upper_bound ?55088 ?55089)) (inverse ?55088) =<= multiply (inverse (least_upper_bound ?55088 ?55089)) (greatest_lower_bound identity (least_upper_bound identity (multiply ?55089 (inverse ?55088)))) [55089, 55088] by Super 45607 with 543 at 2,2,3
% 272.35/68.47 Id : 45748, {_}: greatest_lower_bound (inverse ?55088) (inverse (least_upper_bound ?55088 ?55089)) =<= multiply (inverse (least_upper_bound ?55088 ?55089)) (greatest_lower_bound identity (least_upper_bound identity (multiply ?55089 (inverse ?55088)))) [55089, 55088] by Demod 45625 with 5 at 2
% 272.35/68.47 Id : 45749, {_}: greatest_lower_bound (inverse ?55088) (inverse (least_upper_bound ?55088 ?55089)) =>= multiply (inverse (least_upper_bound ?55088 ?55089)) identity [55089, 55088] by Demod 45748 with 12 at 2,3
% 272.35/68.47 Id : 50526, {_}: greatest_lower_bound (inverse ?58561) (inverse (least_upper_bound ?58561 ?58562)) =>= inverse (least_upper_bound ?58561 ?58562) [58562, 58561] by Demod 45749 with 412 at 3
% 272.35/68.47 Id : 50527, {_}: greatest_lower_bound (inverse ?58564) (inverse (least_upper_bound ?58565 ?58564)) =>= inverse (least_upper_bound ?58564 ?58565) [58565, 58564] by Super 50526 with 6 at 1,2,2
% 272.35/68.47 Id : 542, {_}: multiply (least_upper_bound ?1051 ?1052) (inverse ?1052) =>= least_upper_bound (multiply ?1051 (inverse ?1052)) identity [1052, 1051] by Super 15 with 428 at 2,3
% 272.35/68.47 Id : 552, {_}: multiply (least_upper_bound ?1051 ?1052) (inverse ?1052) =>= least_upper_bound identity (multiply ?1051 (inverse ?1052)) [1052, 1051] by Demod 542 with 6 at 3
% 272.35/68.47 Id : 45626, {_}: 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 45607 with 552 at 2,2,3
% 272.35/68.47 Id : 45751, {_}: 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 45626 with 5 at 2
% 272.35/68.47 Id : 45752, {_}: greatest_lower_bound (inverse ?55092) (inverse (least_upper_bound ?55091 ?55092)) =>= multiply (inverse (least_upper_bound ?55091 ?55092)) identity [55091, 55092] by Demod 45751 with 12 at 2,3
% 272.35/68.47 Id : 45753, {_}: greatest_lower_bound (inverse ?55092) (inverse (least_upper_bound ?55091 ?55092)) =>= inverse (least_upper_bound ?55091 ?55092) [55091, 55092] by Demod 45752 with 412 at 3
% 272.35/68.47 Id : 57032, {_}: inverse (least_upper_bound ?58565 ?58564) =?= inverse (least_upper_bound ?58564 ?58565) [58564, 58565] by Demod 50527 with 45753 at 2
% 272.35/68.47 Id : 336115, {_}: inverse (least_upper_bound ?299304 (inverse (least_upper_bound identity ?299304))) =>= inverse (least_upper_bound identity ?299304) [299304] by Demod 336114 with 57032 at 2
% 272.35/68.47 Id : 336728, {_}: inverse (inverse (least_upper_bound identity ?300055)) =<= least_upper_bound ?300055 (inverse (least_upper_bound identity ?300055)) [300055] by Super 452 with 336115 at 1,2
% 272.35/68.47 Id : 337238, {_}: least_upper_bound identity ?300055 =<= least_upper_bound ?300055 (inverse (least_upper_bound identity ?300055)) [300055] by Demod 336728 with 452 at 2
% 272.35/68.47 Id : 469135, {_}: least_upper_bound ?384573 (least_upper_bound ?384574 (inverse (least_upper_bound identity ?384573))) =>= least_upper_bound ?384574 (least_upper_bound identity ?384573) [384574, 384573] by Super 64 with 337238 at 2,3
% 272.35/68.47 Id : 51040, {_}: least_upper_bound (inverse ?59002) (inverse (least_upper_bound ?59003 ?59002)) =>= inverse ?59002 [59003, 59002] by Super 11 with 45753 at 2,2
% 272.35/68.47 Id : 469292, {_}: least_upper_bound ?385101 (inverse ?385101) =<= least_upper_bound (inverse ?385101) (least_upper_bound identity ?385101) [385101] by Super 469135 with 51040 at 2,2
% 272.35/68.47 Id : 470614, {_}: least_upper_bound ?385101 (inverse ?385101) =<= least_upper_bound identity (least_upper_bound ?385101 (inverse ?385101)) [385101] by Demod 469292 with 55 at 3
% 272.35/68.48 Id : 472629, {_}: least_upper_bound ?310096 (inverse ?310096) =<= multiply (least_upper_bound ?310096 identity) (least_upper_bound identity (inverse ?310096)) [310096] by Demod 357215 with 470614 at 2
% 272.35/68.48 Id : 315860, {_}: multiply ?282943 (inverse ?282944) =<= inverse (multiply ?282944 (inverse ?282943)) [282944, 282943] by Super 429 with 315458 at 2,2
% 272.35/68.48 Id : 335216, {_}: multiply (least_upper_bound identity (multiply ?298654 ?298655)) (inverse ?298655) =>= inverse (inverse (least_upper_bound (inverse ?298655) ?298654)) [298655, 298654] by Super 315860 with 315921 at 1,3
% 272.35/68.48 Id : 467322, {_}: multiply (least_upper_bound identity (multiply ?382837 ?382838)) (inverse ?382838) =>= least_upper_bound (inverse ?382838) ?382837 [382838, 382837] by Demod 335216 with 452 at 3
% 272.35/68.48 Id : 137124, {_}: least_upper_bound (inverse (inverse ?139439)) (multiply (greatest_lower_bound identity ?139440) ?139439) =<= multiply (inverse (inverse ?139439)) (least_upper_bound identity (greatest_lower_bound identity (multiply (inverse ?139439) (multiply ?139440 ?139439)))) [139440, 139439] by Super 2294 with 46018 at 2,2,3
% 272.35/68.48 Id : 137308, {_}: least_upper_bound ?139439 (multiply (greatest_lower_bound identity ?139440) ?139439) =<= multiply (inverse (inverse ?139439)) (least_upper_bound identity (greatest_lower_bound identity (multiply (inverse ?139439) (multiply ?139440 ?139439)))) [139440, 139439] by Demod 137124 with 452 at 1,2
% 272.35/68.48 Id : 137309, {_}: least_upper_bound ?139439 (multiply (greatest_lower_bound identity ?139440) ?139439) =<= multiply ?139439 (least_upper_bound identity (greatest_lower_bound identity (multiply (inverse ?139439) (multiply ?139440 ?139439)))) [139440, 139439] by Demod 137308 with 452 at 1,3
% 272.35/68.48 Id : 137310, {_}: least_upper_bound ?139439 (multiply (greatest_lower_bound identity ?139440) ?139439) =>= multiply ?139439 identity [139440, 139439] by Demod 137309 with 11 at 2,3
% 272.35/68.48 Id : 137311, {_}: least_upper_bound ?139439 (multiply (greatest_lower_bound identity ?139440) ?139439) =>= ?139439 [139440, 139439] by Demod 137310 with 412 at 3
% 272.35/68.48 Id : 137753, {_}: greatest_lower_bound (multiply (greatest_lower_bound identity ?140201) ?140202) ?140202 =>= multiply (greatest_lower_bound identity ?140201) ?140202 [140202, 140201] by Super 97 with 137311 at 2,2
% 272.35/68.48 Id : 138138, {_}: greatest_lower_bound ?140202 (multiply (greatest_lower_bound identity ?140201) ?140202) =>= multiply (greatest_lower_bound identity ?140201) ?140202 [140201, 140202] by Demod 137753 with 5 at 2
% 272.35/68.48 Id : 137320, {_}: greatest_lower_bound ?139426 (multiply (greatest_lower_bound identity ?139427) ?139426) =>= greatest_lower_bound ?139426 (multiply ?139427 ?139426) [139427, 139426] by Demod 137319 with 1249 at 3
% 272.35/68.48 Id : 140315, {_}: greatest_lower_bound ?140202 (multiply ?140201 ?140202) =?= multiply (greatest_lower_bound identity ?140201) ?140202 [140201, 140202] by Demod 138138 with 137320 at 2
% 272.35/68.48 Id : 200130, {_}: multiply (greatest_lower_bound ?189297 (multiply ?189298 ?189297)) ?189299 =>= multiply (greatest_lower_bound identity ?189298) (multiply ?189297 ?189299) [189299, 189298, 189297] by Super 4 with 140315 at 1,2
% 272.35/68.48 Id : 200132, {_}: multiply (greatest_lower_bound ?189304 identity) ?189305 =<= multiply (greatest_lower_bound identity (inverse ?189304)) (multiply ?189304 ?189305) [189305, 189304] by Super 200130 with 3 at 2,1,2
% 272.35/68.48 Id : 316054, {_}: multiply (multiply ?283521 ?283522) (inverse (multiply (greatest_lower_bound ?283521 identity) ?283522)) =>= inverse (greatest_lower_bound identity (inverse ?283521)) [283522, 283521] by Super 315910 with 200132 at 1,2,2
% 272.35/68.48 Id : 316366, {_}: multiply ?283521 (multiply ?283522 (inverse (multiply (greatest_lower_bound ?283521 identity) ?283522))) =>= inverse (greatest_lower_bound identity (inverse ?283521)) [283522, 283521] by Demod 316054 with 4 at 2
% 272.35/68.48 Id : 316367, {_}: multiply ?283521 (inverse (greatest_lower_bound ?283521 identity)) =>= inverse (greatest_lower_bound identity (inverse ?283521)) [283521] by Demod 316366 with 315458 at 2,2
% 272.35/68.48 Id : 318536, {_}: multiply (inverse (greatest_lower_bound ?286318 identity)) (inverse (inverse (greatest_lower_bound identity (inverse ?286318)))) =>= inverse ?286318 [286318] by Super 315458 with 316367 at 1,2,2
% 272.35/68.48 Id : 318599, {_}: inverse (multiply (inverse (greatest_lower_bound identity (inverse ?286318))) (greatest_lower_bound ?286318 identity)) =>= inverse ?286318 [286318] by Demod 318536 with 315848 at 2
% 272.35/68.48 Id : 318600, {_}: multiply (inverse (greatest_lower_bound ?286318 identity)) (greatest_lower_bound identity (inverse ?286318)) =>= inverse ?286318 [286318] by Demod 318599 with 316546 at 2
% 272.35/68.48 Id : 382108, {_}: least_upper_bound (greatest_lower_bound ?327972 identity) (greatest_lower_bound identity (inverse ?327972)) =<= multiply (greatest_lower_bound ?327972 identity) (least_upper_bound identity (inverse ?327972)) [327972] by Super 956 with 318600 at 2,2,3
% 272.35/68.48 Id : 467587, {_}: multiply (least_upper_bound identity (least_upper_bound (greatest_lower_bound ?383632 identity) (greatest_lower_bound identity (inverse ?383632)))) (inverse (least_upper_bound identity (inverse ?383632))) =>= least_upper_bound (inverse (least_upper_bound identity (inverse ?383632))) (greatest_lower_bound ?383632 identity) [383632] by Super 467322 with 382108 at 2,1,2
% 272.35/68.48 Id : 617, {_}: least_upper_bound ?1152 (least_upper_bound (greatest_lower_bound ?1153 ?1152) ?1154) =>= least_upper_bound ?1152 ?1154 [1154, 1153, 1152] by Super 8 with 83 at 1,3
% 272.35/68.48 Id : 468616, {_}: multiply (least_upper_bound identity (greatest_lower_bound identity (inverse ?383632))) (inverse (least_upper_bound identity (inverse ?383632))) =>= least_upper_bound (inverse (least_upper_bound identity (inverse ?383632))) (greatest_lower_bound ?383632 identity) [383632] by Demod 467587 with 617 at 1,2
% 272.35/68.48 Id : 468617, {_}: multiply (least_upper_bound identity (greatest_lower_bound identity (inverse ?383632))) (inverse (least_upper_bound identity (inverse ?383632))) =>= least_upper_bound (greatest_lower_bound ?383632 identity) (inverse (least_upper_bound identity (inverse ?383632))) [383632] by Demod 468616 with 6 at 3
% 272.35/68.48 Id : 468618, {_}: multiply identity (inverse (least_upper_bound identity (inverse ?383632))) =<= least_upper_bound (greatest_lower_bound ?383632 identity) (inverse (least_upper_bound identity (inverse ?383632))) [383632] by Demod 468617 with 11 at 1,2
% 272.35/68.48 Id : 468619, {_}: inverse (least_upper_bound identity (inverse ?383632)) =<= least_upper_bound (greatest_lower_bound ?383632 identity) (inverse (least_upper_bound identity (inverse ?383632))) [383632] by Demod 468618 with 2 at 2
% 272.35/68.48 Id : 554562, {_}: greatest_lower_bound (greatest_lower_bound ?440612 identity) (inverse (least_upper_bound identity (inverse ?440612))) =>= greatest_lower_bound ?440612 identity [440612] by Super 12 with 468619 at 2,2
% 272.35/68.48 Id : 554829, {_}: greatest_lower_bound ?440612 (greatest_lower_bound identity (inverse (least_upper_bound identity (inverse ?440612)))) =>= greatest_lower_bound ?440612 identity [440612] by Demod 554562 with 7 at 2
% 272.35/68.48 Id : 554830, {_}: greatest_lower_bound ?440612 (inverse (least_upper_bound identity (inverse ?440612))) =>= greatest_lower_bound ?440612 identity [440612] by Demod 554829 with 19919 at 2,2
% 272.35/68.48 Id : 45617, {_}: greatest_lower_bound (inverse (least_upper_bound ?55065 (inverse ?55066))) ?55066 =<= multiply (inverse (least_upper_bound ?55065 (inverse ?55066))) (greatest_lower_bound identity (least_upper_bound identity (multiply ?55065 ?55066))) [55066, 55065] by Super 45607 with 205 at 2,2,3
% 272.35/68.48 Id : 45730, {_}: greatest_lower_bound ?55066 (inverse (least_upper_bound ?55065 (inverse ?55066))) =<= multiply (inverse (least_upper_bound ?55065 (inverse ?55066))) (greatest_lower_bound identity (least_upper_bound identity (multiply ?55065 ?55066))) [55065, 55066] by Demod 45617 with 5 at 2
% 272.35/68.48 Id : 45731, {_}: greatest_lower_bound ?55066 (inverse (least_upper_bound ?55065 (inverse ?55066))) =?= multiply (inverse (least_upper_bound ?55065 (inverse ?55066))) identity [55065, 55066] by Demod 45730 with 12 at 2,3
% 272.35/68.48 Id : 45732, {_}: greatest_lower_bound ?55066 (inverse (least_upper_bound ?55065 (inverse ?55066))) =>= inverse (least_upper_bound ?55065 (inverse ?55066)) [55065, 55066] by Demod 45731 with 412 at 3
% 272.35/68.48 Id : 554831, {_}: inverse (least_upper_bound identity (inverse ?440612)) =>= greatest_lower_bound ?440612 identity [440612] by Demod 554830 with 45732 at 2
% 272.35/68.48 Id : 555652, {_}: inverse (greatest_lower_bound ?441294 identity) =<= least_upper_bound identity (inverse ?441294) [441294] by Super 452 with 554831 at 1,2
% 272.35/68.48 Id : 557116, {_}: least_upper_bound ?310096 (inverse ?310096) =<= multiply (least_upper_bound ?310096 identity) (inverse (greatest_lower_bound ?310096 identity)) [310096] by Demod 472629 with 555652 at 2,3
% 272.35/68.48 Id : 1620, {_}: multiply (inverse ?2836) (greatest_lower_bound ?2837 ?2836) =>= greatest_lower_bound identity (multiply (inverse ?2836) ?2837) [2837, 2836] by Demod 151 with 5 at 3
% 272.35/68.48 Id : 43770, {_}: multiply (inverse (least_upper_bound ?53233 ?53234)) ?53233 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?53233 ?53234)) ?53233) [53234, 53233] by Super 1620 with 12 at 2,2
% 272.35/68.48 Id : 43771, {_}: multiply (inverse (least_upper_bound ?53236 ?53237)) ?53236 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?53237 ?53236)) ?53236) [53237, 53236] by Super 43770 with 6 at 1,1,2,3
% 272.35/68.48 Id : 1627, {_}: multiply (inverse (least_upper_bound ?2858 ?2859)) ?2859 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?2858 ?2859)) ?2859) [2859, 2858] by Super 1620 with 97 at 2,2
% 272.35/68.48 Id : 126857, {_}: multiply (inverse (least_upper_bound ?53236 ?53237)) ?53236 =?= multiply (inverse (least_upper_bound ?53237 ?53236)) ?53236 [53237, 53236] by Demod 43771 with 1627 at 3
% 272.35/68.48 Id : 355221, {_}: multiply (inverse (least_upper_bound ?309055 identity)) ?309055 =>= inverse (least_upper_bound identity (inverse ?309055)) [309055] by Super 126857 with 353703 at 3
% 272.35/68.48 Id : 356236, {_}: multiply (least_upper_bound ?309610 identity) (inverse (inverse (least_upper_bound identity (inverse ?309610)))) =<= multiply (least_upper_bound identity (inverse ?309610)) (inverse (inverse (least_upper_bound ?309610 identity))) [309610] by Super 315791 with 355221 at 1,2,2
% 272.35/68.48 Id : 356681, {_}: multiply (least_upper_bound ?309610 identity) (least_upper_bound identity (inverse ?309610)) =<= multiply (least_upper_bound identity (inverse ?309610)) (inverse (inverse (least_upper_bound ?309610 identity))) [309610] by Demod 356236 with 452 at 2,2
% 272.35/68.48 Id : 356682, {_}: multiply (least_upper_bound ?309610 identity) (least_upper_bound identity (inverse ?309610)) =<= multiply (least_upper_bound identity (inverse ?309610)) (least_upper_bound ?309610 identity) [309610] by Demod 356681 with 452 at 2,3
% 272.35/68.48 Id : 362720, {_}: least_upper_bound identity (least_upper_bound ?309610 (inverse ?309610)) =<= multiply (least_upper_bound identity (inverse ?309610)) (least_upper_bound ?309610 identity) [309610] by Demod 356682 with 357215 at 2
% 272.35/68.48 Id : 472628, {_}: least_upper_bound ?309610 (inverse ?309610) =<= multiply (least_upper_bound identity (inverse ?309610)) (least_upper_bound ?309610 identity) [309610] by Demod 362720 with 470614 at 2
% 272.35/68.48 Id : 557072, {_}: least_upper_bound ?309610 (inverse ?309610) =<= multiply (inverse (greatest_lower_bound ?309610 identity)) (least_upper_bound ?309610 identity) [309610] by Demod 472628 with 555652 at 1,3
% 272.35/68.48 Id : 558723, {_}: least_upper_bound a (inverse a) =?= least_upper_bound a (inverse a) [] by Demod 558722 with 557072 at 3
% 272.35/68.48 Id : 558722, {_}: least_upper_bound a (inverse a) =<= multiply (inverse (greatest_lower_bound a identity)) (least_upper_bound a identity) [] by Demod 1 with 557116 at 2
% 272.35/68.48 Id : 1, {_}: multiply (least_upper_bound a identity) (inverse (greatest_lower_bound a identity)) =<= multiply (inverse (greatest_lower_bound a identity)) (least_upper_bound a identity) [] by prove_p21
% 272.35/68.48 % SZS output end CNFRefutation for theBenchmark.p
% 272.35/68.48 25571: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 68.130621 using kbo
%------------------------------------------------------------------------------