TSTP Solution File: GRP183-4 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP183-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n026.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 200.36s 50.43s
% Output : CNFRefutation 200.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP183-4 : 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 : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 04:28:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 29751: Facts:
% 0.12/0.34 29751: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.34 29751: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.34 29751: 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 29751: 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 29751: 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 29751: 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 29751: 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 29751: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.12/0.34 29751: 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 29751: 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 29751: 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 29751: 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 29751: 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 29751: 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 29751: 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 29751: Id : 17, {_}: inverse identity =>= identity [] by p20x_1
% 0.12/0.34 29751: Id : 18, {_}: inverse (inverse ?51) =>= ?51 [51] by p20x_2 ?51
% 0.12/0.34 29751: Id : 19, {_}:
% 0.12/0.34 inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
% 0.12/0.34 [54, 53] by p20x_3 ?53 ?54
% 0.12/0.34 29751: Goal:
% 0.12/0.34 29751: 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
% 200.36/50.43 Statistics :
% 200.36/50.43 Max weight : 22
% 200.36/50.43 Found proof, 50.089681s
% 200.36/50.43 % SZS status Unsatisfiable for theBenchmark.p
% 200.36/50.43 % SZS output start CNFRefutation for theBenchmark.p
% 200.36/50.43 Id : 184, {_}: multiply ?578 (greatest_lower_bound ?579 ?580) =<= greatest_lower_bound (multiply ?578 ?579) (multiply ?578 ?580) [580, 579, 578] by monotony_glb1 ?578 ?579 ?580
% 200.36/50.43 Id : 249, {_}: multiply (greatest_lower_bound ?729 ?730) ?731 =<= greatest_lower_bound (multiply ?729 ?731) (multiply ?730 ?731) [731, 730, 729] by monotony_glb2 ?729 ?730 ?731
% 200.36/50.43 Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 200.36/50.43 Id : 117, {_}: least_upper_bound ?399 (greatest_lower_bound ?399 ?400) =>= ?399 [400, 399] by lub_absorbtion ?399 ?400
% 200.36/50.43 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
% 200.36/50.43 Id : 10, {_}: greatest_lower_bound ?26 ?26 =>= ?26 [26] by idempotence_of_gld ?26
% 200.36/50.43 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
% 200.36/50.43 Id : 16, {_}: multiply (greatest_lower_bound ?46 ?47) ?48 =<= greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48) [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 200.36/50.43 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
% 200.36/50.43 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
% 200.36/50.43 Id : 12, {_}: greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31 [32, 31] by glb_absorbtion ?31 ?32
% 200.36/50.43 Id : 154, {_}: multiply ?507 (least_upper_bound ?508 ?509) =<= least_upper_bound (multiply ?507 ?508) (multiply ?507 ?509) [509, 508, 507] by monotony_lub1 ?507 ?508 ?509
% 200.36/50.43 Id : 19, {_}: inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53) [54, 53] by p20x_3 ?53 ?54
% 200.36/50.43 Id : 24, {_}: multiply (multiply ?63 ?64) ?65 =?= multiply ?63 (multiply ?64 ?65) [65, 64, 63] by associativity ?63 ?64 ?65
% 200.36/50.43 Id : 217, {_}: multiply (least_upper_bound ?652 ?653) ?654 =<= least_upper_bound (multiply ?652 ?654) (multiply ?653 ?654) [654, 653, 652] by monotony_lub2 ?652 ?653 ?654
% 200.36/50.43 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 200.36/50.43 Id : 17, {_}: inverse identity =>= identity [] by p20x_1
% 200.36/50.43 Id : 298, {_}: inverse (multiply ?837 ?838) =<= multiply (inverse ?838) (inverse ?837) [838, 837] by p20x_3 ?837 ?838
% 200.36/50.43 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 200.36/50.43 Id : 135, {_}: greatest_lower_bound ?454 (least_upper_bound ?454 ?455) =>= ?454 [455, 454] by glb_absorbtion ?454 ?455
% 200.36/50.43 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 200.36/50.43 Id : 11, {_}: least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28 [29, 28] by lub_absorbtion ?28 ?29
% 200.36/50.43 Id : 18, {_}: inverse (inverse ?51) =>= ?51 [51] by p20x_2 ?51
% 200.36/50.43 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 200.36/50.43 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
% 200.36/50.43 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 200.36/50.43 Id : 281, {_}: multiply ?786 (inverse ?786) =>= identity [786] by Super 3 with 18 at 1,2
% 200.36/50.43 Id : 1973, {_}: multiply (least_upper_bound ?3583 ?3584) (inverse ?3583) =>= least_upper_bound identity (multiply ?3584 (inverse ?3583)) [3584, 3583] by Super 15 with 281 at 1,3
% 200.36/50.43 Id : 111, {_}: least_upper_bound (greatest_lower_bound ?377 ?378) ?377 =>= ?377 [378, 377] by Super 6 with 11 at 3
% 200.36/50.43 Id : 113948, {_}: multiply ?123909 (inverse (greatest_lower_bound ?123909 ?123910)) =<= least_upper_bound identity (multiply ?123909 (inverse (greatest_lower_bound ?123909 ?123910))) [123910, 123909] by Super 1973 with 111 at 1,2
% 200.36/50.43 Id : 113949, {_}: multiply ?123912 (inverse (greatest_lower_bound ?123912 ?123913)) =<= least_upper_bound identity (multiply ?123912 (inverse (greatest_lower_bound ?123913 ?123912))) [123913, 123912] by Super 113948 with 5 at 1,2,2,3
% 200.36/50.43 Id : 552, {_}: least_upper_bound (greatest_lower_bound ?1244 ?1245) ?1244 =>= ?1244 [1245, 1244] by Super 6 with 11 at 3
% 200.36/50.43 Id : 553, {_}: least_upper_bound (greatest_lower_bound ?1247 ?1248) ?1248 =>= ?1248 [1248, 1247] by Super 552 with 5 at 1,2
% 200.36/50.43 Id : 1987, {_}: multiply ?3626 (inverse (greatest_lower_bound ?3627 ?3626)) =<= least_upper_bound identity (multiply ?3626 (inverse (greatest_lower_bound ?3627 ?3626))) [3627, 3626] by Super 1973 with 553 at 1,2
% 200.36/50.43 Id : 259771, {_}: multiply ?123912 (inverse (greatest_lower_bound ?123912 ?123913)) =?= multiply ?123912 (inverse (greatest_lower_bound ?123913 ?123912)) [123913, 123912] by Demod 113949 with 1987 at 3
% 200.36/50.43 Id : 136, {_}: greatest_lower_bound ?457 (least_upper_bound ?458 ?457) =>= ?457 [458, 457] by Super 135 with 6 at 2,2
% 200.36/50.43 Id : 373, {_}: multiply (multiply ?947 ?948) (inverse ?948) =>= multiply ?947 identity [948, 947] by Super 4 with 281 at 2,3
% 200.36/50.43 Id : 299, {_}: inverse (multiply identity ?840) =<= multiply (inverse ?840) identity [840] by Super 298 with 17 at 2,3
% 200.36/50.43 Id : 323, {_}: inverse ?886 =<= multiply (inverse ?886) identity [886] by Demod 299 with 2 at 1,2
% 200.36/50.43 Id : 325, {_}: inverse (inverse ?889) =<= multiply ?889 identity [889] by Super 323 with 18 at 1,3
% 200.36/50.43 Id : 335, {_}: ?889 =<= multiply ?889 identity [889] by Demod 325 with 18 at 2
% 200.36/50.43 Id : 2200, {_}: multiply (multiply ?3921 ?3922) (inverse ?3922) =>= ?3921 [3922, 3921] by Demod 373 with 335 at 3
% 200.36/50.43 Id : 223, {_}: multiply (least_upper_bound (inverse ?675) ?676) ?675 =>= least_upper_bound identity (multiply ?676 ?675) [676, 675] by Super 217 with 3 at 1,3
% 200.36/50.43 Id : 2212, {_}: multiply (least_upper_bound identity (multiply ?3957 ?3958)) (inverse ?3958) =>= least_upper_bound (inverse ?3958) ?3957 [3958, 3957] by Super 2200 with 223 at 1,2
% 200.36/50.43 Id : 300, {_}: inverse (multiply (inverse ?842) ?843) =>= multiply (inverse ?843) ?842 [843, 842] by Super 298 with 18 at 2,3
% 200.36/50.43 Id : 26, {_}: multiply (multiply ?70 (inverse ?71)) ?71 =>= multiply ?70 identity [71, 70] by Super 24 with 3 at 2,3
% 200.36/50.43 Id : 1202, {_}: multiply (multiply ?2351 (inverse ?2352)) ?2352 =>= ?2351 [2352, 2351] by Demod 26 with 335 at 3
% 200.36/50.43 Id : 1212, {_}: multiply (inverse (multiply ?2380 ?2381)) ?2380 =>= inverse ?2381 [2381, 2380] by Super 1202 with 19 at 1,2
% 200.36/50.43 Id : 2425, {_}: inverse (inverse ?4293) =<= multiply (inverse ?4294) (multiply ?4294 ?4293) [4294, 4293] by Super 300 with 1212 at 1,2
% 200.36/50.43 Id : 2636, {_}: ?4605 =<= multiply (inverse ?4606) (multiply ?4606 ?4605) [4606, 4605] by Demod 2425 with 18 at 2
% 200.36/50.43 Id : 160, {_}: multiply (inverse ?530) (least_upper_bound ?530 ?531) =>= least_upper_bound identity (multiply (inverse ?530) ?531) [531, 530] by Super 154 with 3 at 1,3
% 200.36/50.43 Id : 2640, {_}: least_upper_bound ?4616 ?4617 =<= multiply (inverse (inverse ?4616)) (least_upper_bound identity (multiply (inverse ?4616) ?4617)) [4617, 4616] by Super 2636 with 160 at 2,3
% 200.36/50.43 Id : 2681, {_}: least_upper_bound ?4616 ?4617 =<= multiply ?4616 (least_upper_bound identity (multiply (inverse ?4616) ?4617)) [4617, 4616] by Demod 2640 with 18 at 1,3
% 200.36/50.43 Id : 1187, {_}: multiply (multiply ?70 (inverse ?71)) ?71 =>= ?70 [71, 70] by Demod 26 with 335 at 3
% 200.36/50.43 Id : 1245, {_}: multiply (inverse ?2437) (least_upper_bound ?2437 ?2438) =>= least_upper_bound identity (multiply (inverse ?2437) ?2438) [2438, 2437] by Super 154 with 3 at 1,3
% 200.36/50.43 Id : 1251, {_}: multiply (inverse (greatest_lower_bound ?2455 ?2456)) ?2455 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?2455 ?2456)) ?2455) [2456, 2455] by Super 1245 with 111 at 2,2
% 200.36/50.43 Id : 622, {_}: greatest_lower_bound (least_upper_bound ?1381 ?1382) ?1381 =>= ?1381 [1382, 1381] by Super 5 with 12 at 3
% 200.36/50.43 Id : 623, {_}: greatest_lower_bound (least_upper_bound ?1384 ?1385) ?1385 =>= ?1385 [1385, 1384] by Super 622 with 6 at 1,2
% 200.36/50.43 Id : 9557, {_}: multiply (inverse (greatest_lower_bound ?18643 ?18644)) ?18643 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?18643 ?18644)) ?18643) [18644, 18643] by Super 1245 with 111 at 2,2
% 200.36/50.43 Id : 9590, {_}: multiply (inverse (greatest_lower_bound identity ?18760)) identity =>= least_upper_bound identity (inverse (greatest_lower_bound identity ?18760)) [18760] by Super 9557 with 335 at 2,3
% 200.36/50.43 Id : 9781, {_}: inverse (greatest_lower_bound identity ?18867) =<= least_upper_bound identity (inverse (greatest_lower_bound identity ?18867)) [18867] by Demod 9590 with 335 at 2
% 200.36/50.43 Id : 9782, {_}: inverse (greatest_lower_bound identity ?18869) =<= least_upper_bound identity (inverse (greatest_lower_bound ?18869 identity)) [18869] by Super 9781 with 5 at 1,2,3
% 200.36/50.43 Id : 12506, {_}: least_upper_bound identity (least_upper_bound (inverse (greatest_lower_bound ?21757 identity)) ?21758) =>= least_upper_bound (inverse (greatest_lower_bound identity ?21757)) ?21758 [21758, 21757] by Super 8 with 9782 at 1,3
% 200.36/50.43 Id : 12519, {_}: least_upper_bound identity (least_upper_bound ?21800 (inverse (greatest_lower_bound ?21801 identity))) =>= least_upper_bound (inverse (greatest_lower_bound identity ?21801)) ?21800 [21801, 21800] by Super 12506 with 6 at 2,2
% 200.36/50.43 Id : 1509, {_}: multiply (least_upper_bound identity (multiply ?2891 (inverse ?2892))) ?2892 =>= least_upper_bound (inverse (inverse ?2892)) ?2891 [2892, 2891] by Super 1187 with 223 at 1,2
% 200.36/50.43 Id : 68552, {_}: multiply (least_upper_bound identity (multiply ?82597 (inverse ?82598))) ?82598 =>= least_upper_bound ?82598 ?82597 [82598, 82597] by Demod 1509 with 18 at 1,3
% 200.36/50.43 Id : 68595, {_}: multiply (multiply (inverse (greatest_lower_bound (inverse ?82732) ?82733)) (inverse ?82732)) ?82732 =>= least_upper_bound ?82732 (inverse (greatest_lower_bound (inverse ?82732) ?82733)) [82733, 82732] by Super 68552 with 1251 at 1,2
% 200.36/50.43 Id : 68694, {_}: multiply (inverse (greatest_lower_bound (inverse ?82732) ?82733)) (multiply (inverse ?82732) ?82732) =>= least_upper_bound ?82732 (inverse (greatest_lower_bound (inverse ?82732) ?82733)) [82733, 82732] by Demod 68595 with 4 at 2
% 200.36/50.43 Id : 406, {_}: inverse (multiply (multiply (inverse ?980) ?981) ?982) =<= multiply (inverse ?982) (multiply (inverse ?981) ?980) [982, 981, 980] by Super 19 with 300 at 2,3
% 200.36/50.43 Id : 423, {_}: inverse (multiply (inverse ?980) (multiply ?981 ?982)) =<= multiply (inverse ?982) (multiply (inverse ?981) ?980) [982, 981, 980] by Demod 406 with 4 at 1,2
% 200.36/50.43 Id : 424, {_}: multiply (inverse (multiply ?981 ?982)) ?980 =<= multiply (inverse ?982) (multiply (inverse ?981) ?980) [980, 982, 981] by Demod 423 with 300 at 2
% 200.36/50.43 Id : 68695, {_}: multiply (inverse (multiply ?82732 (greatest_lower_bound (inverse ?82732) ?82733))) ?82732 =>= least_upper_bound ?82732 (inverse (greatest_lower_bound (inverse ?82732) ?82733)) [82733, 82732] by Demod 68694 with 424 at 2
% 200.36/50.43 Id : 68696, {_}: inverse (greatest_lower_bound (inverse ?82732) ?82733) =<= least_upper_bound ?82732 (inverse (greatest_lower_bound (inverse ?82732) ?82733)) [82733, 82732] by Demod 68695 with 1212 at 2
% 200.36/50.43 Id : 68735, {_}: least_upper_bound identity (inverse (greatest_lower_bound (inverse ?82821) identity)) =<= least_upper_bound (inverse (greatest_lower_bound identity (inverse ?82821))) ?82821 [82821] by Super 12519 with 68696 at 2,2
% 200.36/50.43 Id : 69071, {_}: inverse (greatest_lower_bound identity (inverse ?82821)) =<= least_upper_bound (inverse (greatest_lower_bound identity (inverse ?82821))) ?82821 [82821] by Demod 68735 with 9782 at 2
% 200.36/50.43 Id : 70928, {_}: greatest_lower_bound (inverse (greatest_lower_bound identity (inverse ?84296))) ?84296 =>= ?84296 [84296] by Super 623 with 69071 at 1,2
% 200.36/50.43 Id : 70930, {_}: greatest_lower_bound (inverse (greatest_lower_bound identity ?84299)) (inverse ?84299) =>= inverse ?84299 [84299] by Super 70928 with 18 at 2,1,1,2
% 200.36/50.43 Id : 72861, {_}: multiply (inverse (greatest_lower_bound (inverse (greatest_lower_bound identity ?85521)) (inverse ?85521))) (inverse (greatest_lower_bound identity ?85521)) =>= least_upper_bound identity (multiply (inverse (inverse ?85521)) (inverse (greatest_lower_bound identity ?85521))) [85521] by Super 1251 with 70930 at 1,1,2,3
% 200.36/50.43 Id : 72969, {_}: inverse (multiply (greatest_lower_bound identity ?85521) (greatest_lower_bound (inverse (greatest_lower_bound identity ?85521)) (inverse ?85521))) =>= least_upper_bound identity (multiply (inverse (inverse ?85521)) (inverse (greatest_lower_bound identity ?85521))) [85521] by Demod 72861 with 19 at 2
% 200.36/50.43 Id : 72970, {_}: inverse (multiply (greatest_lower_bound identity ?85521) (greatest_lower_bound (inverse (greatest_lower_bound identity ?85521)) (inverse ?85521))) =>= least_upper_bound identity (inverse (multiply (greatest_lower_bound identity ?85521) (inverse ?85521))) [85521] by Demod 72969 with 19 at 2,3
% 200.36/50.43 Id : 372, {_}: multiply ?944 (greatest_lower_bound (inverse ?944) ?945) =>= greatest_lower_bound identity (multiply ?944 ?945) [945, 944] by Super 14 with 281 at 1,3
% 200.36/50.43 Id : 72971, {_}: inverse (greatest_lower_bound identity (multiply (greatest_lower_bound identity ?85521) (inverse ?85521))) =<= least_upper_bound identity (inverse (multiply (greatest_lower_bound identity ?85521) (inverse ?85521))) [85521] by Demod 72970 with 372 at 1,2
% 200.36/50.43 Id : 302, {_}: inverse (multiply ?847 (inverse ?848)) =>= multiply ?848 (inverse ?847) [848, 847] by Super 298 with 18 at 1,3
% 200.36/50.43 Id : 72972, {_}: inverse (greatest_lower_bound identity (multiply (greatest_lower_bound identity ?85521) (inverse ?85521))) =>= least_upper_bound identity (multiply ?85521 (inverse (greatest_lower_bound identity ?85521))) [85521] by Demod 72971 with 302 at 2,3
% 200.36/50.43 Id : 369, {_}: multiply (greatest_lower_bound ?935 ?936) (inverse ?936) =>= greatest_lower_bound (multiply ?935 (inverse ?936)) identity [936, 935] by Super 16 with 281 at 2,3
% 200.36/50.43 Id : 396, {_}: multiply (greatest_lower_bound ?935 ?936) (inverse ?936) =>= greatest_lower_bound identity (multiply ?935 (inverse ?936)) [936, 935] by Demod 369 with 5 at 3
% 200.36/50.43 Id : 72973, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound identity (multiply identity (inverse ?85521)))) =?= least_upper_bound identity (multiply ?85521 (inverse (greatest_lower_bound identity ?85521))) [85521] by Demod 72972 with 396 at 2,1,2
% 200.36/50.43 Id : 103, {_}: greatest_lower_bound ?355 (greatest_lower_bound ?355 ?356) =>= greatest_lower_bound ?355 ?356 [356, 355] by Super 7 with 10 at 1,3
% 200.36/50.43 Id : 72974, {_}: inverse (greatest_lower_bound identity (multiply identity (inverse ?85521))) =<= least_upper_bound identity (multiply ?85521 (inverse (greatest_lower_bound identity ?85521))) [85521] by Demod 72973 with 103 at 1,2
% 200.36/50.43 Id : 72975, {_}: inverse (greatest_lower_bound identity (inverse ?85521)) =<= least_upper_bound identity (multiply ?85521 (inverse (greatest_lower_bound identity ?85521))) [85521] by Demod 72974 with 2 at 2,1,2
% 200.36/50.43 Id : 376, {_}: multiply ?954 (least_upper_bound ?955 (inverse ?954)) =>= least_upper_bound (multiply ?954 ?955) identity [955, 954] by Super 13 with 281 at 2,3
% 200.36/50.43 Id : 391, {_}: multiply ?954 (least_upper_bound ?955 (inverse ?954)) =>= least_upper_bound identity (multiply ?954 ?955) [955, 954] by Demod 376 with 6 at 3
% 200.36/50.43 Id : 69375, {_}: multiply ?83445 (inverse (greatest_lower_bound identity (inverse (inverse ?83445)))) =<= least_upper_bound identity (multiply ?83445 (inverse (greatest_lower_bound identity (inverse (inverse ?83445))))) [83445] by Super 391 with 69071 at 2,2
% 200.36/50.43 Id : 69769, {_}: multiply ?83445 (inverse (greatest_lower_bound identity ?83445)) =<= least_upper_bound identity (multiply ?83445 (inverse (greatest_lower_bound identity (inverse (inverse ?83445))))) [83445] by Demod 69375 with 18 at 2,1,2,2
% 200.36/50.43 Id : 69770, {_}: multiply ?83445 (inverse (greatest_lower_bound identity ?83445)) =<= least_upper_bound identity (multiply ?83445 (inverse (greatest_lower_bound identity ?83445))) [83445] by Demod 69769 with 18 at 2,1,2,2,3
% 200.36/50.43 Id : 89953, {_}: inverse (greatest_lower_bound identity (inverse ?85521)) =<= multiply ?85521 (inverse (greatest_lower_bound identity ?85521)) [85521] by Demod 72975 with 69770 at 3
% 200.36/50.43 Id : 89977, {_}: multiply (inverse (greatest_lower_bound identity (inverse ?99534))) (greatest_lower_bound identity ?99534) =>= ?99534 [99534] by Super 1187 with 89953 at 1,2
% 200.36/50.43 Id : 221505, {_}: least_upper_bound (greatest_lower_bound identity (inverse ?272954)) (greatest_lower_bound identity ?272954) =<= multiply (greatest_lower_bound identity (inverse ?272954)) (least_upper_bound identity ?272954) [272954] by Super 2681 with 89977 at 2,2,3
% 200.36/50.43 Id : 222047, {_}: multiply (least_upper_bound identity (least_upper_bound (greatest_lower_bound identity (inverse ?273420)) (greatest_lower_bound identity ?273420))) (inverse (least_upper_bound identity ?273420)) =>= least_upper_bound (inverse (least_upper_bound identity ?273420)) (greatest_lower_bound identity (inverse ?273420)) [273420] by Super 2212 with 221505 at 2,1,2
% 200.36/50.43 Id : 113, {_}: least_upper_bound ?383 (least_upper_bound (greatest_lower_bound ?383 ?384) ?385) =>= least_upper_bound ?383 ?385 [385, 384, 383] by Super 8 with 11 at 1,3
% 200.36/50.43 Id : 222181, {_}: multiply (least_upper_bound identity (greatest_lower_bound identity ?273420)) (inverse (least_upper_bound identity ?273420)) =>= least_upper_bound (inverse (least_upper_bound identity ?273420)) (greatest_lower_bound identity (inverse ?273420)) [273420] by Demod 222047 with 113 at 1,2
% 200.36/50.43 Id : 222182, {_}: multiply identity (inverse (least_upper_bound identity ?273420)) =<= least_upper_bound (inverse (least_upper_bound identity ?273420)) (greatest_lower_bound identity (inverse ?273420)) [273420] by Demod 222181 with 11 at 1,2
% 200.36/50.43 Id : 222183, {_}: inverse (least_upper_bound identity ?273420) =<= least_upper_bound (inverse (least_upper_bound identity ?273420)) (greatest_lower_bound identity (inverse ?273420)) [273420] by Demod 222182 with 2 at 2
% 200.36/50.43 Id : 403456, {_}: greatest_lower_bound (greatest_lower_bound identity (inverse ?438811)) (inverse (least_upper_bound identity ?438811)) =>= greatest_lower_bound identity (inverse ?438811) [438811] by Super 136 with 222183 at 2,2
% 200.36/50.43 Id : 403853, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?438811)) (greatest_lower_bound identity (inverse ?438811)) =>= greatest_lower_bound identity (inverse ?438811) [438811] by Demod 403456 with 5 at 2
% 200.36/50.43 Id : 586, {_}: least_upper_bound ?1313 (greatest_lower_bound ?1314 ?1313) =>= ?1313 [1314, 1313] by Super 117 with 5 at 2,2
% 200.36/50.43 Id : 593, {_}: least_upper_bound ?1334 (greatest_lower_bound ?1335 (greatest_lower_bound ?1336 ?1334)) =>= ?1334 [1336, 1335, 1334] by Super 586 with 7 at 2,2
% 200.36/50.43 Id : 4682, {_}: greatest_lower_bound ?8735 (greatest_lower_bound ?8736 (greatest_lower_bound ?8737 ?8735)) =>= greatest_lower_bound ?8736 (greatest_lower_bound ?8737 ?8735) [8737, 8736, 8735] by Super 623 with 593 at 1,2
% 200.36/50.43 Id : 521, {_}: greatest_lower_bound ?1179 (greatest_lower_bound ?1179 ?1180) =>= greatest_lower_bound ?1179 ?1180 [1180, 1179] by Super 7 with 10 at 1,3
% 200.36/50.43 Id : 873, {_}: greatest_lower_bound ?1837 (greatest_lower_bound ?1838 ?1837) =>= greatest_lower_bound ?1837 ?1838 [1838, 1837] by Super 521 with 5 at 2,2
% 200.36/50.43 Id : 884, {_}: greatest_lower_bound ?1870 (greatest_lower_bound ?1871 (greatest_lower_bound ?1872 ?1870)) =>= greatest_lower_bound ?1870 (greatest_lower_bound ?1871 ?1872) [1872, 1871, 1870] by Super 873 with 7 at 2,2
% 200.36/50.43 Id : 135601, {_}: greatest_lower_bound ?8735 (greatest_lower_bound ?8736 ?8737) =?= greatest_lower_bound ?8736 (greatest_lower_bound ?8737 ?8735) [8737, 8736, 8735] by Demod 4682 with 884 at 2
% 200.36/50.43 Id : 403854, {_}: greatest_lower_bound identity (greatest_lower_bound (inverse ?438811) (inverse (least_upper_bound identity ?438811))) =>= greatest_lower_bound identity (inverse ?438811) [438811] by Demod 403853 with 135601 at 2
% 200.36/50.43 Id : 666, {_}: greatest_lower_bound ?1464 (least_upper_bound ?1465 ?1464) =>= ?1464 [1465, 1464] by Super 135 with 6 at 2,2
% 200.36/50.43 Id : 118, {_}: least_upper_bound ?402 (greatest_lower_bound ?403 ?402) =>= ?402 [403, 402] by Super 117 with 5 at 2,2
% 200.36/50.43 Id : 673, {_}: greatest_lower_bound (greatest_lower_bound ?1484 ?1485) ?1485 =>= greatest_lower_bound ?1484 ?1485 [1485, 1484] by Super 666 with 118 at 2,2
% 200.36/50.43 Id : 660, {_}: greatest_lower_bound ?1444 (greatest_lower_bound (least_upper_bound ?1445 ?1444) ?1446) =>= greatest_lower_bound ?1444 ?1446 [1446, 1445, 1444] by Super 7 with 136 at 1,3
% 200.36/50.43 Id : 156, {_}: multiply (inverse ?514) (least_upper_bound ?515 ?514) =>= least_upper_bound (multiply (inverse ?514) ?515) identity [515, 514] by Super 154 with 3 at 2,3
% 200.36/50.43 Id : 173, {_}: multiply (inverse ?514) (least_upper_bound ?515 ?514) =>= least_upper_bound identity (multiply (inverse ?514) ?515) [515, 514] by Demod 156 with 6 at 3
% 200.36/50.43 Id : 9741, {_}: inverse (greatest_lower_bound identity ?18760) =<= least_upper_bound identity (inverse (greatest_lower_bound identity ?18760)) [18760] by Demod 9590 with 335 at 2
% 200.36/50.43 Id : 9940, {_}: greatest_lower_bound identity (inverse (greatest_lower_bound identity ?18997)) =>= identity [18997] by Super 12 with 9741 at 2,2
% 200.36/50.43 Id : 9941, {_}: greatest_lower_bound identity (inverse (greatest_lower_bound ?18999 identity)) =>= identity [18999] by Super 9940 with 5 at 1,2,2
% 200.36/50.43 Id : 10226, {_}: least_upper_bound (inverse (greatest_lower_bound ?19200 identity)) identity =>= inverse (greatest_lower_bound ?19200 identity) [19200] by Super 118 with 9941 at 2,2
% 200.36/50.43 Id : 10297, {_}: least_upper_bound identity (inverse (greatest_lower_bound ?19200 identity)) =>= inverse (greatest_lower_bound ?19200 identity) [19200] by Demod 10226 with 6 at 2
% 200.36/50.43 Id : 10298, {_}: inverse (greatest_lower_bound identity ?19200) =?= inverse (greatest_lower_bound ?19200 identity) [19200] by Demod 10297 with 9782 at 2
% 200.36/50.43 Id : 14763, {_}: multiply (inverse (greatest_lower_bound ?24329 identity)) ?24329 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound identity ?24329)) ?24329) [24329] by Super 1251 with 10298 at 1,2,3
% 200.36/50.43 Id : 10091, {_}: inverse (greatest_lower_bound identity ?19122) =<= least_upper_bound identity (inverse (greatest_lower_bound ?19122 identity)) [19122] by Super 9781 with 5 at 1,2,3
% 200.36/50.43 Id : 12752, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound ?22003 ?22004)) =<= least_upper_bound identity (inverse (greatest_lower_bound ?22003 (greatest_lower_bound ?22004 identity))) [22004, 22003] by Super 10091 with 7 at 1,2,3
% 200.36/50.43 Id : 128, {_}: greatest_lower_bound (least_upper_bound ?430 ?431) ?430 =>= ?430 [431, 430] by Super 5 with 12 at 3
% 200.36/50.43 Id : 12755, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound ?22011 (least_upper_bound identity ?22012))) =>= least_upper_bound identity (inverse (greatest_lower_bound ?22011 identity)) [22012, 22011] by Super 12752 with 128 at 2,1,2,3
% 200.36/50.43 Id : 18253, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound ?28575 (least_upper_bound identity ?28576))) =>= inverse (greatest_lower_bound identity ?28575) [28576, 28575] by Demod 12755 with 9782 at 3
% 200.36/50.43 Id : 18284, {_}: inverse (greatest_lower_bound identity (least_upper_bound identity ?28670)) =<= inverse (greatest_lower_bound identity (least_upper_bound ?28671 (least_upper_bound identity ?28670))) [28671, 28670] by Super 18253 with 623 at 2,1,2
% 200.36/50.43 Id : 18386, {_}: inverse identity =<= inverse (greatest_lower_bound identity (least_upper_bound ?28671 (least_upper_bound identity ?28670))) [28670, 28671] by Demod 18284 with 12 at 1,2
% 200.36/50.43 Id : 18387, {_}: identity =<= inverse (greatest_lower_bound identity (least_upper_bound ?28671 (least_upper_bound identity ?28670))) [28670, 28671] by Demod 18386 with 17 at 2
% 200.36/50.43 Id : 22982, {_}: multiply (inverse (greatest_lower_bound (least_upper_bound ?33937 (least_upper_bound identity ?33938)) identity)) (least_upper_bound ?33937 (least_upper_bound identity ?33938)) =>= least_upper_bound identity (multiply identity (least_upper_bound ?33937 (least_upper_bound identity ?33938))) [33938, 33937] by Super 14763 with 18387 at 1,2,3
% 200.36/50.43 Id : 23049, {_}: multiply (inverse (greatest_lower_bound identity (least_upper_bound ?33937 (least_upper_bound identity ?33938)))) (least_upper_bound ?33937 (least_upper_bound identity ?33938)) =>= least_upper_bound identity (multiply identity (least_upper_bound ?33937 (least_upper_bound identity ?33938))) [33938, 33937] by Demod 22982 with 10298 at 1,2
% 200.36/50.43 Id : 23050, {_}: multiply (inverse (greatest_lower_bound identity (least_upper_bound ?33937 (least_upper_bound identity ?33938)))) (least_upper_bound ?33937 (least_upper_bound identity ?33938)) =>= least_upper_bound identity (least_upper_bound ?33937 (least_upper_bound identity ?33938)) [33938, 33937] by Demod 23049 with 2 at 2,3
% 200.36/50.44 Id : 23051, {_}: multiply identity (least_upper_bound ?33937 (least_upper_bound identity ?33938)) =>= least_upper_bound identity (least_upper_bound ?33937 (least_upper_bound identity ?33938)) [33938, 33937] by Demod 23050 with 18387 at 1,2
% 200.36/50.44 Id : 23052, {_}: least_upper_bound ?33937 (least_upper_bound identity ?33938) =<= least_upper_bound identity (least_upper_bound ?33937 (least_upper_bound identity ?33938)) [33938, 33937] by Demod 23051 with 2 at 2
% 200.36/50.44 Id : 23259, {_}: multiply (inverse (least_upper_bound ?34225 (least_upper_bound identity ?34226))) (least_upper_bound ?34225 (least_upper_bound identity ?34226)) =>= least_upper_bound identity (multiply (inverse (least_upper_bound ?34225 (least_upper_bound identity ?34226))) identity) [34226, 34225] by Super 173 with 23052 at 2,2
% 200.36/50.46 Id : 23371, {_}: identity =<= least_upper_bound identity (multiply (inverse (least_upper_bound ?34225 (least_upper_bound identity ?34226))) identity) [34226, 34225] by Demod 23259 with 3 at 2
% 200.36/50.46 Id : 26301, {_}: identity =<= least_upper_bound identity (inverse (least_upper_bound ?37790 (least_upper_bound identity ?37791))) [37791, 37790] by Demod 23371 with 335 at 2,3
% 200.36/50.46 Id : 26334, {_}: identity =<= least_upper_bound identity (inverse (least_upper_bound identity ?37892)) [37892] by Super 26301 with 9 at 1,2,3
% 200.36/50.46 Id : 26673, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?38140)) (greatest_lower_bound identity ?38141) =>= greatest_lower_bound (inverse (least_upper_bound identity ?38140)) ?38141 [38141, 38140] by Super 660 with 26334 at 1,2,2
% 200.36/50.46 Id : 33749, {_}: greatest_lower_bound (greatest_lower_bound (inverse (least_upper_bound identity ?46128)) ?46129) (greatest_lower_bound identity ?46129) =>= greatest_lower_bound (inverse (least_upper_bound identity ?46128)) (greatest_lower_bound identity ?46129) [46129, 46128] by Super 673 with 26673 at 1,2
% 200.36/50.46 Id : 33920, {_}: greatest_lower_bound (greatest_lower_bound identity ?46129) (greatest_lower_bound (inverse (least_upper_bound identity ?46128)) ?46129) =>= greatest_lower_bound (inverse (least_upper_bound identity ?46128)) (greatest_lower_bound identity ?46129) [46128, 46129] by Demod 33749 with 5 at 2
% 200.36/50.46 Id : 33921, {_}: greatest_lower_bound (greatest_lower_bound identity ?46129) (greatest_lower_bound (inverse (least_upper_bound identity ?46128)) ?46129) =>= greatest_lower_bound (inverse (least_upper_bound identity ?46128)) ?46129 [46128, 46129] by Demod 33920 with 26673 at 3
% 200.36/50.46 Id : 33922, {_}: greatest_lower_bound identity (greatest_lower_bound ?46129 (greatest_lower_bound (inverse (least_upper_bound identity ?46128)) ?46129)) =>= greatest_lower_bound (inverse (least_upper_bound identity ?46128)) ?46129 [46128, 46129] by Demod 33921 with 7 at 2
% 200.36/50.46 Id : 522, {_}: greatest_lower_bound ?1182 (greatest_lower_bound ?1183 ?1182) =>= greatest_lower_bound ?1182 ?1183 [1183, 1182] by Super 521 with 5 at 2,2
% 200.36/50.46 Id : 33923, {_}: greatest_lower_bound identity (greatest_lower_bound ?46129 (inverse (least_upper_bound identity ?46128))) =>= greatest_lower_bound (inverse (least_upper_bound identity ?46128)) ?46129 [46128, 46129] by Demod 33922 with 522 at 2,2
% 200.36/50.46 Id : 403855, {_}: greatest_lower_bound (inverse (least_upper_bound identity ?438811)) (inverse ?438811) =>= greatest_lower_bound identity (inverse ?438811) [438811] by Demod 403854 with 33923 at 2
% 200.36/50.46 Id : 655, {_}: least_upper_bound (least_upper_bound ?1430 ?1431) ?1431 =>= least_upper_bound ?1430 ?1431 [1431, 1430] by Super 118 with 136 at 2,2
% 200.36/50.46 Id : 1256, {_}: multiply (inverse (least_upper_bound ?2470 ?2471)) (least_upper_bound ?2470 ?2471) =>= least_upper_bound identity (multiply (inverse (least_upper_bound ?2470 ?2471)) ?2471) [2471, 2470] by Super 1245 with 655 at 2,2
% 200.36/50.46 Id : 1286, {_}: identity =<= least_upper_bound identity (multiply (inverse (least_upper_bound ?2470 ?2471)) ?2471) [2471, 2470] by Demod 1256 with 3 at 2
% 200.36/50.46 Id : 68598, {_}: multiply identity ?82741 =<= least_upper_bound ?82741 (inverse (least_upper_bound ?82742 (inverse ?82741))) [82742, 82741] by Super 68552 with 1286 at 1,2
% 200.36/50.46 Id : 68701, {_}: ?82741 =<= least_upper_bound ?82741 (inverse (least_upper_bound ?82742 (inverse ?82741))) [82742, 82741] by Demod 68598 with 2 at 2
% 200.36/50.46 Id : 98583, {_}: greatest_lower_bound (inverse (least_upper_bound ?107136 (inverse ?107137))) ?107137 =>= inverse (least_upper_bound ?107136 (inverse ?107137)) [107137, 107136] by Super 136 with 68701 at 2,2
% 200.36/50.46 Id : 98585, {_}: greatest_lower_bound (inverse (least_upper_bound ?107141 ?107142)) (inverse ?107142) =>= inverse (least_upper_bound ?107141 (inverse (inverse ?107142))) [107142, 107141] by Super 98583 with 18 at 2,1,1,2
% 200.36/50.46 Id : 98989, {_}: greatest_lower_bound (inverse (least_upper_bound ?107141 ?107142)) (inverse ?107142) =>= inverse (least_upper_bound ?107141 ?107142) [107142, 107141] by Demod 98585 with 18 at 2,1,3
% 200.36/50.46 Id : 403856, {_}: inverse (least_upper_bound identity ?438811) =<= greatest_lower_bound identity (inverse ?438811) [438811] by Demod 403855 with 98989 at 2
% 200.36/50.46 Id : 404925, {_}: multiply (inverse ?439860) (inverse (greatest_lower_bound (inverse ?439860) identity)) =>= multiply (inverse ?439860) (inverse (inverse (least_upper_bound identity ?439860))) [439860] by Super 259771 with 403856 at 1,2,2
% 200.36/50.46 Id : 405035, {_}: multiply (inverse ?439860) (inverse (greatest_lower_bound identity (inverse ?439860))) =>= multiply (inverse ?439860) (inverse (inverse (least_upper_bound identity ?439860))) [439860] by Demod 404925 with 259771 at 2
% 200.36/50.46 Id : 405036, {_}: multiply (inverse ?439860) (inverse (greatest_lower_bound identity (inverse ?439860))) =>= inverse (multiply (inverse (least_upper_bound identity ?439860)) ?439860) [439860] by Demod 405035 with 19 at 3
% 200.36/50.46 Id : 405037, {_}: inverse (multiply (greatest_lower_bound identity (inverse ?439860)) ?439860) =>= inverse (multiply (inverse (least_upper_bound identity ?439860)) ?439860) [439860] by Demod 405036 with 19 at 2
% 200.36/50.46 Id : 405038, {_}: inverse (multiply (greatest_lower_bound identity (inverse ?439860)) ?439860) =>= multiply (inverse ?439860) (least_upper_bound identity ?439860) [439860] by Demod 405037 with 300 at 3
% 200.36/50.46 Id : 251, {_}: multiply (greatest_lower_bound ?736 (inverse ?737)) ?737 =>= greatest_lower_bound (multiply ?736 ?737) identity [737, 736] by Super 249 with 3 at 2,3
% 200.36/50.46 Id : 271, {_}: multiply (greatest_lower_bound ?736 (inverse ?737)) ?737 =>= greatest_lower_bound identity (multiply ?736 ?737) [737, 736] by Demod 251 with 5 at 3
% 200.36/50.46 Id : 405039, {_}: inverse (greatest_lower_bound identity (multiply identity ?439860)) =<= multiply (inverse ?439860) (least_upper_bound identity ?439860) [439860] by Demod 405038 with 271 at 1,2
% 200.36/50.46 Id : 405040, {_}: inverse (greatest_lower_bound identity (multiply identity ?439860)) =<= least_upper_bound identity (multiply (inverse ?439860) identity) [439860] by Demod 405039 with 173 at 3
% 200.36/50.46 Id : 405041, {_}: inverse (greatest_lower_bound identity ?439860) =<= least_upper_bound identity (multiply (inverse ?439860) identity) [439860] by Demod 405040 with 2 at 2,1,2
% 200.36/50.46 Id : 405042, {_}: inverse (greatest_lower_bound identity ?439860) =<= least_upper_bound identity (inverse ?439860) [439860] by Demod 405041 with 335 at 2,3
% 200.36/50.46 Id : 95, {_}: least_upper_bound ?333 (least_upper_bound ?333 ?334) =>= least_upper_bound ?333 ?334 [334, 333] by Super 8 with 9 at 1,3
% 200.36/50.46 Id : 481, {_}: least_upper_bound (least_upper_bound ?1080 ?1081) ?1080 =>= least_upper_bound ?1080 ?1081 [1081, 1080] by Super 6 with 95 at 3
% 200.36/50.46 Id : 1253, {_}: multiply (inverse (least_upper_bound ?2461 ?2462)) (least_upper_bound ?2461 ?2462) =>= least_upper_bound identity (multiply (inverse (least_upper_bound ?2461 ?2462)) ?2461) [2462, 2461] by Super 1245 with 481 at 2,2
% 200.36/50.46 Id : 1284, {_}: identity =<= least_upper_bound identity (multiply (inverse (least_upper_bound ?2461 ?2462)) ?2461) [2462, 2461] by Demod 1253 with 3 at 2
% 200.36/50.46 Id : 68597, {_}: multiply identity ?82738 =<= least_upper_bound ?82738 (inverse (least_upper_bound (inverse ?82738) ?82739)) [82739, 82738] by Super 68552 with 1284 at 1,2
% 200.36/50.46 Id : 68700, {_}: ?82738 =<= least_upper_bound ?82738 (inverse (least_upper_bound (inverse ?82738) ?82739)) [82739, 82738] by Demod 68597 with 2 at 2
% 200.36/50.46 Id : 93780, {_}: greatest_lower_bound (inverse (least_upper_bound (inverse ?103381) ?103382)) ?103381 =>= inverse (least_upper_bound (inverse ?103381) ?103382) [103382, 103381] by Super 136 with 68700 at 2,2
% 200.36/50.46 Id : 93782, {_}: greatest_lower_bound (inverse (least_upper_bound ?103386 ?103387)) (inverse ?103386) =>= inverse (least_upper_bound (inverse (inverse ?103386)) ?103387) [103387, 103386] by Super 93780 with 18 at 1,1,1,2
% 200.36/50.46 Id : 106729, {_}: greatest_lower_bound (inverse (least_upper_bound ?116564 ?116565)) (inverse ?116564) =>= inverse (least_upper_bound ?116564 ?116565) [116565, 116564] by Demod 93782 with 18 at 1,1,3
% 200.36/50.46 Id : 106749, {_}: greatest_lower_bound (inverse (least_upper_bound ?116641 ?116642)) (inverse ?116642) =>= inverse (least_upper_bound ?116642 ?116641) [116642, 116641] by Super 106729 with 6 at 1,1,2
% 200.36/50.46 Id : 109644, {_}: inverse (least_upper_bound ?116641 ?116642) =?= inverse (least_upper_bound ?116642 ?116641) [116642, 116641] by Demod 106749 with 98989 at 2
% 200.36/50.46 Id : 1524, {_}: multiply (least_upper_bound identity (multiply ?2891 (inverse ?2892))) ?2892 =>= least_upper_bound ?2892 ?2891 [2892, 2891] by Demod 1509 with 18 at 1,3
% 200.36/50.46 Id : 2411, {_}: inverse (inverse ?4241) =<= multiply ?4242 (inverse (inverse (multiply (inverse ?4242) ?4241))) [4242, 4241] by Super 302 with 1212 at 1,2
% 200.36/50.46 Id : 2468, {_}: ?4241 =<= multiply ?4242 (inverse (inverse (multiply (inverse ?4242) ?4241))) [4242, 4241] by Demod 2411 with 18 at 2
% 200.36/50.46 Id : 2469, {_}: ?4241 =<= multiply ?4242 (multiply (inverse ?4242) ?4241) [4242, 4241] by Demod 2468 with 18 at 2,3
% 200.36/50.46 Id : 2427, {_}: multiply (inverse (multiply ?4299 ?4300)) ?4299 =>= inverse ?4300 [4300, 4299] by Super 1202 with 19 at 1,2
% 200.36/50.46 Id : 118560, {_}: multiply (inverse (greatest_lower_bound identity (multiply ?127982 ?127983))) ?127982 =>= inverse (greatest_lower_bound (inverse ?127982) ?127983) [127983, 127982] by Super 2427 with 372 at 1,1,2
% 200.36/50.46 Id : 118600, {_}: multiply (inverse (greatest_lower_bound identity ?128094)) ?128094 =>= inverse (greatest_lower_bound (inverse ?128094) identity) [128094] by Super 118560 with 335 at 2,1,1,2
% 200.36/50.46 Id : 68823, {_}: inverse (greatest_lower_bound (inverse ?83112) ?83113) =<= least_upper_bound ?83112 (inverse (greatest_lower_bound (inverse ?83112) ?83113)) [83113, 83112] by Demod 68695 with 1212 at 2
% 200.36/50.46 Id : 68825, {_}: inverse (greatest_lower_bound (inverse (inverse ?83117)) ?83118) =<= least_upper_bound (inverse ?83117) (inverse (greatest_lower_bound ?83117 ?83118)) [83118, 83117] by Super 68823 with 18 at 1,1,2,3
% 200.36/50.46 Id : 88223, {_}: inverse (greatest_lower_bound ?98360 ?98361) =<= least_upper_bound (inverse ?98360) (inverse (greatest_lower_bound ?98360 ?98361)) [98361, 98360] by Demod 68825 with 18 at 1,1,2
% 200.36/50.46 Id : 88224, {_}: inverse (greatest_lower_bound ?98363 ?98364) =<= least_upper_bound (inverse ?98363) (inverse (greatest_lower_bound ?98364 ?98363)) [98364, 98363] by Super 88223 with 5 at 1,2,3
% 200.36/50.46 Id : 1255, {_}: multiply (inverse (greatest_lower_bound ?2467 ?2468)) ?2468 =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?2467 ?2468)) ?2468) [2468, 2467] by Super 1245 with 553 at 2,2
% 200.36/50.46 Id : 68596, {_}: multiply (multiply (inverse (greatest_lower_bound ?82735 (inverse ?82736))) (inverse ?82736)) ?82736 =>= least_upper_bound ?82736 (inverse (greatest_lower_bound ?82735 (inverse ?82736))) [82736, 82735] by Super 68552 with 1255 at 1,2
% 200.36/50.46 Id : 68697, {_}: multiply (inverse (greatest_lower_bound ?82735 (inverse ?82736))) (multiply (inverse ?82736) ?82736) =>= least_upper_bound ?82736 (inverse (greatest_lower_bound ?82735 (inverse ?82736))) [82736, 82735] by Demod 68596 with 4 at 2
% 200.36/50.46 Id : 68698, {_}: multiply (inverse (multiply ?82736 (greatest_lower_bound ?82735 (inverse ?82736)))) ?82736 =>= least_upper_bound ?82736 (inverse (greatest_lower_bound ?82735 (inverse ?82736))) [82735, 82736] by Demod 68697 with 424 at 2
% 200.36/50.46 Id : 75430, {_}: inverse (greatest_lower_bound ?87476 (inverse ?87477)) =<= least_upper_bound ?87477 (inverse (greatest_lower_bound ?87476 (inverse ?87477))) [87477, 87476] by Demod 68698 with 1212 at 2
% 200.36/50.46 Id : 75432, {_}: inverse (greatest_lower_bound ?87481 (inverse (inverse ?87482))) =<= least_upper_bound (inverse ?87482) (inverse (greatest_lower_bound ?87481 ?87482)) [87482, 87481] by Super 75430 with 18 at 2,1,2,3
% 200.36/50.46 Id : 75752, {_}: inverse (greatest_lower_bound ?87481 ?87482) =<= least_upper_bound (inverse ?87482) (inverse (greatest_lower_bound ?87481 ?87482)) [87482, 87481] by Demod 75432 with 18 at 2,1,2
% 200.36/50.46 Id : 102212, {_}: inverse (greatest_lower_bound ?98363 ?98364) =?= inverse (greatest_lower_bound ?98364 ?98363) [98364, 98363] by Demod 88224 with 75752 at 3
% 200.36/50.46 Id : 118818, {_}: multiply (inverse (greatest_lower_bound identity ?128094)) ?128094 =>= inverse (greatest_lower_bound identity (inverse ?128094)) [128094] by Demod 118600 with 102212 at 3
% 200.36/50.46 Id : 118913, {_}: ?128187 =<= multiply (greatest_lower_bound identity ?128187) (inverse (greatest_lower_bound identity (inverse ?128187))) [128187] by Super 2469 with 118818 at 2,3
% 200.36/50.46 Id : 333114, {_}: multiply (least_upper_bound identity ?364105) (greatest_lower_bound identity (inverse ?364105)) =>= least_upper_bound (greatest_lower_bound identity (inverse ?364105)) (greatest_lower_bound identity ?364105) [364105] by Super 1524 with 118913 at 2,1,2
% 200.36/50.46 Id : 190, {_}: multiply (inverse ?601) (greatest_lower_bound ?601 ?602) =>= greatest_lower_bound identity (multiply (inverse ?601) ?602) [602, 601] by Super 184 with 3 at 1,3
% 200.36/50.46 Id : 2642, {_}: greatest_lower_bound ?4622 ?4623 =<= multiply (inverse (inverse ?4622)) (greatest_lower_bound identity (multiply (inverse ?4622) ?4623)) [4623, 4622] by Super 2636 with 190 at 2,3
% 200.36/50.46 Id : 2683, {_}: greatest_lower_bound ?4622 ?4623 =<= multiply ?4622 (greatest_lower_bound identity (multiply (inverse ?4622) ?4623)) [4623, 4622] by Demod 2642 with 18 at 1,3
% 200.36/50.46 Id : 1372, {_}: multiply (inverse ?2661) (greatest_lower_bound ?2661 ?2662) =>= greatest_lower_bound identity (multiply (inverse ?2661) ?2662) [2662, 2661] by Super 184 with 3 at 1,3
% 200.36/50.46 Id : 1382, {_}: multiply (inverse (least_upper_bound ?2691 ?2692)) ?2692 =<= greatest_lower_bound identity (multiply (inverse (least_upper_bound ?2691 ?2692)) ?2692) [2692, 2691] by Super 1372 with 623 at 2,2
% 200.36/50.46 Id : 76034, {_}: ?88016 =<= least_upper_bound ?88016 (inverse (least_upper_bound (inverse ?88016) ?88017)) [88017, 88016] by Demod 68597 with 2 at 2
% 200.36/50.46 Id : 26303, {_}: identity =<= least_upper_bound identity (inverse (least_upper_bound ?37796 identity)) [37796] by Super 26301 with 9 at 2,1,2,3
% 200.36/50.46 Id : 26946, {_}: greatest_lower_bound identity (inverse (least_upper_bound ?38466 identity)) =>= inverse (least_upper_bound ?38466 identity) [38466] by Super 623 with 26303 at 1,2
% 200.36/50.46 Id : 26947, {_}: greatest_lower_bound identity (inverse (least_upper_bound identity ?38468)) =>= inverse (least_upper_bound ?38468 identity) [38468] by Super 26946 with 6 at 1,2,2
% 200.36/50.46 Id : 26689, {_}: greatest_lower_bound identity (inverse (least_upper_bound identity ?38174)) =>= inverse (least_upper_bound identity ?38174) [38174] by Super 623 with 26334 at 1,2
% 200.36/50.46 Id : 27556, {_}: inverse (least_upper_bound identity ?38468) =?= inverse (least_upper_bound ?38468 identity) [38468] by Demod 26947 with 26689 at 2
% 200.36/50.46 Id : 76523, {_}: ?88485 =<= least_upper_bound ?88485 (inverse (least_upper_bound identity (inverse ?88485))) [88485] by Super 76034 with 27556 at 2,3
% 200.36/50.46 Id : 76525, {_}: inverse ?88488 =<= least_upper_bound (inverse ?88488) (inverse (least_upper_bound identity ?88488)) [88488] by Super 76523 with 18 at 2,1,2,3
% 200.36/50.46 Id : 79065, {_}: multiply (inverse (least_upper_bound (inverse ?89819) (inverse (least_upper_bound identity ?89819)))) (inverse (least_upper_bound identity ?89819)) =>= greatest_lower_bound identity (multiply (inverse (inverse ?89819)) (inverse (least_upper_bound identity ?89819))) [89819] by Super 1382 with 76525 at 1,1,2,3
% 200.36/50.46 Id : 79156, {_}: inverse (multiply (least_upper_bound identity ?89819) (least_upper_bound (inverse ?89819) (inverse (least_upper_bound identity ?89819)))) =>= greatest_lower_bound identity (multiply (inverse (inverse ?89819)) (inverse (least_upper_bound identity ?89819))) [89819] by Demod 79065 with 19 at 2
% 200.36/50.46 Id : 79157, {_}: inverse (multiply (least_upper_bound identity ?89819) (least_upper_bound (inverse ?89819) (inverse (least_upper_bound identity ?89819)))) =>= greatest_lower_bound identity (inverse (multiply (least_upper_bound identity ?89819) (inverse ?89819))) [89819] by Demod 79156 with 19 at 2,3
% 200.36/50.46 Id : 79158, {_}: inverse (least_upper_bound identity (multiply (least_upper_bound identity ?89819) (inverse ?89819))) =<= greatest_lower_bound identity (inverse (multiply (least_upper_bound identity ?89819) (inverse ?89819))) [89819] by Demod 79157 with 391 at 1,2
% 200.36/50.46 Id : 79159, {_}: inverse (least_upper_bound identity (multiply (least_upper_bound identity ?89819) (inverse ?89819))) =>= greatest_lower_bound identity (multiply ?89819 (inverse (least_upper_bound identity ?89819))) [89819] by Demod 79158 with 302 at 2,3
% 200.36/50.46 Id : 378, {_}: multiply (least_upper_bound ?960 ?961) (inverse ?961) =>= least_upper_bound (multiply ?960 (inverse ?961)) identity [961, 960] by Super 15 with 281 at 2,3
% 200.36/50.46 Id : 390, {_}: multiply (least_upper_bound ?960 ?961) (inverse ?961) =>= least_upper_bound identity (multiply ?960 (inverse ?961)) [961, 960] by Demod 378 with 6 at 3
% 200.36/50.46 Id : 79160, {_}: inverse (least_upper_bound identity (least_upper_bound identity (multiply identity (inverse ?89819)))) =?= greatest_lower_bound identity (multiply ?89819 (inverse (least_upper_bound identity ?89819))) [89819] by Demod 79159 with 390 at 2,1,2
% 200.36/50.46 Id : 79161, {_}: inverse (least_upper_bound identity (multiply identity (inverse ?89819))) =<= greatest_lower_bound identity (multiply ?89819 (inverse (least_upper_bound identity ?89819))) [89819] by Demod 79160 with 95 at 1,2
% 200.36/50.46 Id : 79162, {_}: inverse (least_upper_bound identity (inverse ?89819)) =<= greatest_lower_bound identity (multiply ?89819 (inverse (least_upper_bound identity ?89819))) [89819] by Demod 79161 with 2 at 2,1,2
% 200.36/50.46 Id : 76096, {_}: ?88199 =<= least_upper_bound ?88199 (inverse (least_upper_bound identity (inverse ?88199))) [88199] by Super 76034 with 27556 at 2,3
% 200.36/50.46 Id : 76457, {_}: greatest_lower_bound ?88338 (inverse (least_upper_bound identity (inverse ?88338))) =>= inverse (least_upper_bound identity (inverse ?88338)) [88338] by Super 623 with 76096 at 1,2
% 200.36/50.46 Id : 76981, {_}: multiply ?88721 (inverse (least_upper_bound identity (inverse (inverse ?88721)))) =<= greatest_lower_bound identity (multiply ?88721 (inverse (least_upper_bound identity (inverse (inverse ?88721))))) [88721] by Super 372 with 76457 at 2,2
% 200.36/50.46 Id : 77292, {_}: multiply ?88721 (inverse (least_upper_bound identity ?88721)) =<= greatest_lower_bound identity (multiply ?88721 (inverse (least_upper_bound identity (inverse (inverse ?88721))))) [88721] by Demod 76981 with 18 at 2,1,2,2
% 200.36/50.46 Id : 77293, {_}: multiply ?88721 (inverse (least_upper_bound identity ?88721)) =<= greatest_lower_bound identity (multiply ?88721 (inverse (least_upper_bound identity ?88721))) [88721] by Demod 77292 with 18 at 2,1,2,2,3
% 200.36/50.46 Id : 97047, {_}: inverse (least_upper_bound identity (inverse ?89819)) =<= multiply ?89819 (inverse (least_upper_bound identity ?89819)) [89819] by Demod 79162 with 77293 at 3
% 200.36/50.46 Id : 97062, {_}: multiply (inverse (least_upper_bound identity (inverse ?105707))) (least_upper_bound identity ?105707) =>= ?105707 [105707] by Super 1187 with 97047 at 1,2
% 200.36/50.46 Id : 235965, {_}: greatest_lower_bound (least_upper_bound identity (inverse ?283764)) (least_upper_bound identity ?283764) =<= multiply (least_upper_bound identity (inverse ?283764)) (greatest_lower_bound identity ?283764) [283764] by Super 2683 with 97062 at 2,2,3
% 200.36/50.46 Id : 236047, {_}: greatest_lower_bound (least_upper_bound identity (inverse (inverse ?283991))) (least_upper_bound identity (inverse ?283991)) =>= multiply (least_upper_bound identity ?283991) (greatest_lower_bound identity (inverse ?283991)) [283991] by Super 235965 with 18 at 2,1,3
% 200.36/50.46 Id : 236572, {_}: greatest_lower_bound (least_upper_bound identity ?283991) (least_upper_bound identity (inverse ?283991)) =<= multiply (least_upper_bound identity ?283991) (greatest_lower_bound identity (inverse ?283991)) [283991] by Demod 236047 with 18 at 2,1,2
% 200.36/50.46 Id : 333343, {_}: greatest_lower_bound (least_upper_bound identity ?364105) (least_upper_bound identity (inverse ?364105)) =<= least_upper_bound (greatest_lower_bound identity (inverse ?364105)) (greatest_lower_bound identity ?364105) [364105] by Demod 333114 with 236572 at 2
% 200.36/50.46 Id : 335213, {_}: least_upper_bound (greatest_lower_bound identity ?365433) (greatest_lower_bound identity (inverse ?365433)) =>= greatest_lower_bound (least_upper_bound identity ?365433) (least_upper_bound identity (inverse ?365433)) [365433] by Super 6 with 333343 at 3
% 200.36/50.46 Id : 335264, {_}: least_upper_bound (greatest_lower_bound ?365573 identity) (greatest_lower_bound identity (inverse ?365573)) =>= greatest_lower_bound (least_upper_bound identity ?365573) (least_upper_bound identity (inverse ?365573)) [365573] by Super 335213 with 5 at 1,2
% 200.36/50.46 Id : 404639, {_}: least_upper_bound (greatest_lower_bound ?365573 identity) (inverse (least_upper_bound identity ?365573)) =>= greatest_lower_bound (least_upper_bound identity ?365573) (least_upper_bound identity (inverse ?365573)) [365573] by Demod 335264 with 403856 at 2,2
% 200.36/50.46 Id : 404646, {_}: least_upper_bound (inverse (least_upper_bound identity ?365573)) (greatest_lower_bound ?365573 identity) =>= greatest_lower_bound (least_upper_bound identity ?365573) (least_upper_bound identity (inverse ?365573)) [365573] by Demod 404639 with 6 at 2
% 200.36/50.46 Id : 222053, {_}: least_upper_bound (greatest_lower_bound identity (inverse ?273432)) (greatest_lower_bound identity ?273432) =<= multiply (greatest_lower_bound identity (inverse ?273432)) (least_upper_bound identity ?273432) [273432] by Super 2681 with 89977 at 2,2,3
% 200.36/50.46 Id : 222054, {_}: least_upper_bound (greatest_lower_bound identity (inverse ?273434)) (greatest_lower_bound identity ?273434) =<= multiply (greatest_lower_bound identity (inverse ?273434)) (least_upper_bound ?273434 identity) [273434] by Super 222053 with 6 at 2,3
% 200.36/50.46 Id : 333854, {_}: greatest_lower_bound (least_upper_bound identity ?273434) (least_upper_bound identity (inverse ?273434)) =<= multiply (greatest_lower_bound identity (inverse ?273434)) (least_upper_bound ?273434 identity) [273434] by Demod 222054 with 333343 at 2
% 200.36/50.46 Id : 404637, {_}: greatest_lower_bound (least_upper_bound identity ?273434) (least_upper_bound identity (inverse ?273434)) =<= multiply (inverse (least_upper_bound identity ?273434)) (least_upper_bound ?273434 identity) [273434] by Demod 333854 with 403856 at 1,3
% 200.36/50.46 Id : 27590, {_}: multiply (inverse (least_upper_bound identity ?38878)) (least_upper_bound ?38878 identity) =>= identity [38878] by Super 3 with 27556 at 1,2
% 200.36/50.46 Id : 404648, {_}: greatest_lower_bound (least_upper_bound identity ?273434) (least_upper_bound identity (inverse ?273434)) =>= identity [273434] by Demod 404637 with 27590 at 3
% 200.36/50.46 Id : 404652, {_}: least_upper_bound (inverse (least_upper_bound identity ?365573)) (greatest_lower_bound ?365573 identity) =>= identity [365573] by Demod 404646 with 404648 at 3
% 200.36/50.46 Id : 393, {_}: multiply (multiply ?947 ?948) (inverse ?948) =>= ?947 [948, 947] by Demod 373 with 335 at 3
% 200.36/50.46 Id : 405992, {_}: inverse (greatest_lower_bound identity ?440575) =<= least_upper_bound identity (inverse ?440575) [440575] by Demod 405041 with 335 at 2,3
% 200.36/50.46 Id : 438043, {_}: inverse (greatest_lower_bound identity (multiply (inverse ?459575) ?459576)) =>= least_upper_bound identity (multiply (inverse ?459576) ?459575) [459576, 459575] by Super 405992 with 300 at 2,3
% 200.36/50.46 Id : 438089, {_}: inverse (greatest_lower_bound identity (greatest_lower_bound identity (multiply (inverse ?459740) ?459741))) =?= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?459740 ?459741)) ?459740) [459741, 459740] by Super 438043 with 190 at 2,1,2
% 200.36/50.46 Id : 438566, {_}: inverse (greatest_lower_bound identity (multiply (inverse ?459740) ?459741)) =<= least_upper_bound identity (multiply (inverse (greatest_lower_bound ?459740 ?459741)) ?459740) [459741, 459740] by Demod 438089 with 103 at 1,2
% 200.36/50.46 Id : 438567, {_}: inverse (greatest_lower_bound identity (multiply (inverse ?459740) ?459741)) =?= multiply (inverse (greatest_lower_bound ?459740 ?459741)) ?459740 [459741, 459740] by Demod 438566 with 1251 at 3
% 200.36/50.46 Id : 405995, {_}: inverse (greatest_lower_bound identity (multiply (inverse ?440580) ?440581)) =>= least_upper_bound identity (multiply (inverse ?440581) ?440580) [440581, 440580] by Super 405992 with 300 at 2,3
% 200.36/50.46 Id : 438568, {_}: least_upper_bound identity (multiply (inverse ?459741) ?459740) =<= multiply (inverse (greatest_lower_bound ?459740 ?459741)) ?459740 [459740, 459741] by Demod 438567 with 405995 at 2
% 200.36/50.46 Id : 459918, {_}: multiply (least_upper_bound identity (multiply (inverse ?475406) ?475407)) (inverse ?475407) =>= inverse (greatest_lower_bound ?475407 ?475406) [475407, 475406] by Super 393 with 438568 at 1,2
% 200.36/50.46 Id : 461151, {_}: least_upper_bound (inverse ?476714) (inverse ?476715) =>= inverse (greatest_lower_bound ?476714 ?476715) [476715, 476714] by Demod 459918 with 2212 at 2
% 200.36/50.46 Id : 461883, {_}: least_upper_bound (inverse ?477539) ?477540 =<= inverse (greatest_lower_bound ?477539 (inverse ?477540)) [477540, 477539] by Super 461151 with 18 at 2,2
% 200.36/50.46 Id : 68592, {_}: multiply (least_upper_bound identity (inverse (multiply ?82724 ?82725))) ?82724 =>= least_upper_bound ?82724 (inverse ?82725) [82725, 82724] by Super 68552 with 19 at 2,1,2
% 200.36/50.46 Id : 405646, {_}: multiply (inverse (greatest_lower_bound identity (multiply ?82724 ?82725))) ?82724 =>= least_upper_bound ?82724 (inverse ?82725) [82725, 82724] by Demod 68592 with 405042 at 1,2
% 200.36/50.46 Id : 2441, {_}: multiply (inverse (greatest_lower_bound identity (multiply ?4339 ?4340))) ?4339 =>= inverse (greatest_lower_bound (inverse ?4339) ?4340) [4340, 4339] by Super 2427 with 372 at 1,1,2
% 200.36/50.46 Id : 405688, {_}: inverse (greatest_lower_bound (inverse ?82724) ?82725) =>= least_upper_bound ?82724 (inverse ?82725) [82725, 82724] by Demod 405646 with 2441 at 2
% 200.36/50.46 Id : 461902, {_}: least_upper_bound (inverse ?477612) (greatest_lower_bound (inverse ?477613) ?477614) =>= inverse (greatest_lower_bound ?477612 (least_upper_bound ?477613 (inverse ?477614))) [477614, 477613, 477612] by Super 461883 with 405688 at 2,1,3
% 200.36/50.46 Id : 502809, {_}: inverse (greatest_lower_bound (least_upper_bound identity (inverse ?518388)) (least_upper_bound ?518388 (inverse identity))) =>= identity [518388] by Super 404652 with 461902 at 2
% 200.36/50.46 Id : 503003, {_}: inverse (greatest_lower_bound (inverse (greatest_lower_bound identity ?518388)) (least_upper_bound ?518388 (inverse identity))) =>= identity [518388] by Demod 502809 with 405042 at 1,1,2
% 200.36/50.46 Id : 503004, {_}: inverse (greatest_lower_bound (inverse (greatest_lower_bound identity ?518388)) (least_upper_bound ?518388 identity)) =>= identity [518388] by Demod 503003 with 17 at 2,2,1,2
% 200.36/50.46 Id : 503005, {_}: least_upper_bound (greatest_lower_bound identity ?518388) (inverse (least_upper_bound ?518388 identity)) =>= identity [518388] by Demod 503004 with 405688 at 2
% 200.36/50.46 Id : 503006, {_}: least_upper_bound (inverse (least_upper_bound ?518388 identity)) (greatest_lower_bound identity ?518388) =>= identity [518388] by Demod 503005 with 6 at 2
% 200.36/50.46 Id : 542722, {_}: inverse (least_upper_bound (greatest_lower_bound identity ?566035) (inverse (least_upper_bound ?566035 identity))) =>= inverse identity [566035] by Super 109644 with 503006 at 1,2
% 200.36/50.46 Id : 543201, {_}: inverse (least_upper_bound (inverse (least_upper_bound ?566035 identity)) (greatest_lower_bound identity ?566035)) =>= inverse identity [566035] by Demod 542722 with 109644 at 2
% 200.36/50.46 Id : 543202, {_}: inverse (least_upper_bound (inverse (least_upper_bound ?566035 identity)) (greatest_lower_bound identity ?566035)) =>= identity [566035] by Demod 543201 with 17 at 3
% 200.36/50.46 Id : 255, {_}: multiply (greatest_lower_bound (inverse ?752) ?753) ?752 =>= greatest_lower_bound identity (multiply ?753 ?752) [753, 752] by Super 249 with 3 at 1,3
% 200.36/50.47 Id : 1632, {_}: multiply (greatest_lower_bound identity (multiply ?3085 (inverse ?3086))) ?3086 =>= greatest_lower_bound (inverse (inverse ?3086)) ?3085 [3086, 3085] by Super 1187 with 255 at 1,2
% 200.36/50.47 Id : 110619, {_}: multiply (greatest_lower_bound identity (multiply ?120843 (inverse ?120844))) ?120844 =>= greatest_lower_bound ?120844 ?120843 [120844, 120843] by Demod 1632 with 18 at 1,3
% 200.36/50.47 Id : 110660, {_}: multiply (greatest_lower_bound identity (inverse (multiply ?120977 ?120978))) ?120977 =>= greatest_lower_bound ?120977 (inverse ?120978) [120978, 120977] by Super 110619 with 19 at 2,1,2
% 200.73/50.48 Id : 404596, {_}: multiply (inverse (least_upper_bound identity (multiply ?120977 ?120978))) ?120977 =>= greatest_lower_bound ?120977 (inverse ?120978) [120978, 120977] by Demod 110660 with 403856 at 1,2
% 200.73/50.48 Id : 377, {_}: multiply ?957 (least_upper_bound (inverse ?957) ?958) =>= least_upper_bound identity (multiply ?957 ?958) [958, 957] by Super 13 with 281 at 1,3
% 200.73/50.48 Id : 2442, {_}: multiply (inverse (least_upper_bound identity (multiply ?4342 ?4343))) ?4342 =>= inverse (least_upper_bound (inverse ?4342) ?4343) [4343, 4342] by Super 2427 with 377 at 1,1,2
% 200.73/50.48 Id : 404703, {_}: inverse (least_upper_bound (inverse ?120977) ?120978) =>= greatest_lower_bound ?120977 (inverse ?120978) [120978, 120977] by Demod 404596 with 2442 at 2
% 200.73/50.48 Id : 543203, {_}: greatest_lower_bound (least_upper_bound ?566035 identity) (inverse (greatest_lower_bound identity ?566035)) =>= identity [566035] by Demod 543202 with 404703 at 2
% 200.73/50.48 Id : 543204, {_}: greatest_lower_bound (inverse (greatest_lower_bound identity ?566035)) (least_upper_bound ?566035 identity) =>= identity [566035] by Demod 543203 with 5 at 2
% 200.73/50.48 Id : 554778, {_}: identity === identity [] by Demod 554777 with 543204 at 2
% 200.73/50.48 Id : 554777, {_}: greatest_lower_bound (inverse (greatest_lower_bound identity a)) (least_upper_bound a identity) =>= identity [] by Demod 554776 with 5 at 2
% 200.73/50.48 Id : 554776, {_}: greatest_lower_bound (least_upper_bound a identity) (inverse (greatest_lower_bound identity a)) =>= identity [] by Demod 311 with 405042 at 2,2
% 200.73/50.48 Id : 311, {_}: greatest_lower_bound (least_upper_bound a identity) (least_upper_bound identity (inverse a)) =>= identity [] by Demod 1 with 6 at 2,2
% 200.73/50.48 Id : 1, {_}: greatest_lower_bound (least_upper_bound a identity) (least_upper_bound (inverse a) identity) =>= identity [] by prove_20x
% 200.73/50.48 % SZS output end CNFRefutation for theBenchmark.p
% 200.73/50.48 29754: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 50.151518 using nrkbo
%------------------------------------------------------------------------------