%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : GRP167-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n013.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 10:29:18 EDT 2022

% Result   : Unsatisfiable 9.22s 2.63s
% Output   : CNFRefutation 9.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GRP167-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 09:53:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  26271: Facts:
% 0.12/0.34  26271:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.34  26271:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.34  26271:  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  26271:  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  26271:  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  26271:  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  26271:  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  26271:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.12/0.34  26271:  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  26271:  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  26271:  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  26271:  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  26271:  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  26271:  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  26271:  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  26271:  Id :  17, {_}:
% 0.12/0.34            positive_part ?50 =<= least_upper_bound ?50 identity
% 0.12/0.34            [50] by lat4_1 ?50
% 0.12/0.34  26271:  Id :  18, {_}:
% 0.12/0.34            negative_part ?52 =<= greatest_lower_bound ?52 identity
% 0.12/0.34            [52] by lat4_2 ?52
% 0.12/0.34  26271:  Id :  19, {_}:
% 0.12/0.34            least_upper_bound ?54 (greatest_lower_bound ?55 ?56)
% 0.12/0.34            =<=
% 0.12/0.34            greatest_lower_bound (least_upper_bound ?54 ?55)
% 0.12/0.34              (least_upper_bound ?54 ?56)
% 0.12/0.34            [56, 55, 54] by lat4_3 ?54 ?55 ?56
% 0.12/0.34  26271:  Id :  20, {_}:
% 0.12/0.34            greatest_lower_bound ?58 (least_upper_bound ?59 ?60)
% 0.12/0.34            =<=
% 0.12/0.34            least_upper_bound (greatest_lower_bound ?58 ?59)
% 0.12/0.34              (greatest_lower_bound ?58 ?60)
% 0.12/0.34            [60, 59, 58] by lat4_4 ?58 ?59 ?60
% 0.12/0.34  26271: Goal:
% 0.12/0.34  26271:  Id :   1, {_}:
% 0.12/0.34            a =<= multiply (positive_part a) (negative_part a)
% 0.12/0.34            [] by prove_lat4
% 9.22/2.62  Statistics :
% 9.22/2.62  Max weight : 16
% 9.22/2.62  Found proof, 2.287500s
% 9.22/2.63  % SZS status Unsatisfiable for theBenchmark.p
% 9.22/2.63  % SZS output start CNFRefutation for theBenchmark.p
% 9.22/2.63  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
% 9.22/2.63  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 9.22/2.63  Id : 191, {_}: multiply (least_upper_bound ?431 ?432) ?433 =<= least_upper_bound (multiply ?431 ?433) (multiply ?432 ?433) [433, 432, 431] by monotony_lub2 ?431 ?432 ?433
% 9.22/2.63  Id :  20, {_}: greatest_lower_bound ?58 (least_upper_bound ?59 ?60) =<= least_upper_bound (greatest_lower_bound ?58 ?59) (greatest_lower_bound ?58 ?60) [60, 59, 58] by lat4_4 ?58 ?59 ?60
% 9.22/2.63  Id :  19, {_}: least_upper_bound ?54 (greatest_lower_bound ?55 ?56) =<= greatest_lower_bound (least_upper_bound ?54 ?55) (least_upper_bound ?54 ?56) [56, 55, 54] by lat4_3 ?54 ?55 ?56
% 9.22/2.63  Id :  11, {_}: least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28 [29, 28] by lub_absorbtion ?28 ?29
% 9.22/2.63  Id :  12, {_}: greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31 [32, 31] by glb_absorbtion ?31 ?32
% 9.22/2.63  Id :  10, {_}: greatest_lower_bound ?26 ?26 =>= ?26 [26] by idempotence_of_gld ?26
% 9.22/2.63  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
% 9.22/2.63  Id : 334, {_}: greatest_lower_bound ?727 (least_upper_bound ?728 ?729) =<= least_upper_bound (greatest_lower_bound ?727 ?728) (greatest_lower_bound ?727 ?729) [729, 728, 727] by lat4_4 ?727 ?728 ?729
% 9.22/2.63  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
% 9.22/2.63  Id :   6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 9.22/2.63  Id :  17, {_}: positive_part ?50 =<= least_upper_bound ?50 identity [50] by lat4_1 ?50
% 9.22/2.63  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
% 9.22/2.63  Id :  18, {_}: negative_part ?52 =<= greatest_lower_bound ?52 identity [52] by lat4_2 ?52
% 9.22/2.63  Id :   5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 9.22/2.63  Id : 221, {_}: multiply (greatest_lower_bound ?498 ?499) ?500 =<= greatest_lower_bound (multiply ?498 ?500) (multiply ?499 ?500) [500, 499, 498] by monotony_glb2 ?498 ?499 ?500
% 9.22/2.63  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 9.22/2.63  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 9.22/2.63  Id :  25, {_}: multiply (multiply ?69 ?70) ?71 =>= multiply ?69 (multiply ?70 ?71) [71, 70, 69] by associativity ?69 ?70 ?71
% 9.22/2.63  Id :  27, {_}: multiply identity ?76 =<= multiply (inverse ?77) (multiply ?77 ?76) [77, 76] by Super 25 with 3 at 1,2
% 9.22/2.63  Id :  31, {_}: ?76 =<= multiply (inverse ?77) (multiply ?77 ?76) [77, 76] by Demod 27 with 2 at 2
% 9.22/2.63  Id : 225, {_}: multiply (greatest_lower_bound identity ?513) ?514 =<= greatest_lower_bound ?514 (multiply ?513 ?514) [514, 513] by Super 221 with 2 at 1,3
% 9.22/2.63  Id : 262, {_}: greatest_lower_bound identity ?568 =>= negative_part ?568 [568] by Super 5 with 18 at 3
% 9.22/2.63  Id : 3739, {_}: multiply (negative_part ?5624) ?5625 =<= greatest_lower_bound ?5625 (multiply ?5624 ?5625) [5625, 5624] by Demod 225 with 262 at 1,2
% 9.22/2.63  Id : 3741, {_}: multiply (negative_part (inverse ?5629)) ?5629 =>= greatest_lower_bound ?5629 identity [5629] by Super 3739 with 3 at 2,3
% 9.22/2.63  Id : 3775, {_}: multiply (negative_part (inverse ?5629)) ?5629 =>= negative_part ?5629 [5629] by Demod 3741 with 18 at 3
% 9.22/2.63  Id : 3792, {_}: ?5662 =<= multiply (inverse (negative_part (inverse ?5662))) (negative_part ?5662) [5662] by Super 31 with 3775 at 2,3
% 9.22/2.63  Id : 464, {_}: ?918 =<= multiply (inverse ?919) (multiply ?919 ?918) [919, 918] by Demod 27 with 2 at 2
% 9.22/2.63  Id : 466, {_}: ?923 =<= multiply (inverse (inverse ?923)) identity [923] by Super 464 with 3 at 2,3
% 9.22/2.63  Id : 903, {_}: multiply (inverse (inverse ?1545)) (least_upper_bound ?1546 identity) =<= least_upper_bound (multiply (inverse (inverse ?1545)) ?1546) ?1545 [1546, 1545] by Super 13 with 466 at 2,3
% 9.22/2.63  Id : 912, {_}: multiply (inverse (inverse ?1545)) (positive_part ?1546) =<= least_upper_bound (multiply (inverse (inverse ?1545)) ?1546) ?1545 [1546, 1545] by Demod 903 with 17 at 2,2
% 9.22/2.63  Id : 913, {_}: multiply (inverse (inverse ?1545)) (positive_part ?1546) =<= least_upper_bound ?1545 (multiply (inverse (inverse ?1545)) ?1546) [1546, 1545] by Demod 912 with 6 at 3
% 9.22/2.63  Id : 468, {_}: multiply ?929 ?930 =<= multiply (inverse (inverse ?929)) ?930 [930, 929] by Super 464 with 31 at 2,3
% 9.22/2.63  Id : 1488, {_}: ?923 =<= multiply ?923 identity [923] by Demod 466 with 468 at 3
% 9.22/2.63  Id : 1489, {_}: inverse (inverse ?2415) =<= multiply ?2415 identity [2415] by Super 1488 with 468 at 3
% 9.22/2.63  Id : 1528, {_}: inverse (inverse ?2415) =>= ?2415 [2415] by Demod 1489 with 1488 at 3
% 9.22/2.63  Id : 38868, {_}: multiply ?1545 (positive_part ?1546) =<= least_upper_bound ?1545 (multiply (inverse (inverse ?1545)) ?1546) [1546, 1545] by Demod 913 with 1528 at 1,2
% 9.22/2.63  Id : 38869, {_}: multiply ?1545 (positive_part ?1546) =<= least_upper_bound ?1545 (multiply ?1545 ?1546) [1546, 1545] by Demod 38868 with 1528 at 1,2,3
% 9.22/2.63  Id : 1502, {_}: multiply ?2461 ?2462 =<= multiply (inverse (inverse ?2461)) ?2462 [2462, 2461] by Super 464 with 31 at 2,3
% 9.22/2.63  Id : 1504, {_}: multiply ?2466 (inverse ?2466) =>= identity [2466] by Super 1502 with 3 at 3
% 9.22/2.63  Id : 1550, {_}: multiply ?2509 (greatest_lower_bound ?2510 (inverse ?2509)) =>= greatest_lower_bound (multiply ?2509 ?2510) identity [2510, 2509] by Super 14 with 1504 at 2,3
% 9.22/2.63  Id : 1563, {_}: multiply ?2509 (greatest_lower_bound ?2510 (inverse ?2509)) =>= greatest_lower_bound identity (multiply ?2509 ?2510) [2510, 2509] by Demod 1550 with 5 at 3
% 9.22/2.63  Id : 12259, {_}: multiply ?16531 (greatest_lower_bound ?16532 (inverse ?16531)) =>= negative_part (multiply ?16531 ?16532) [16532, 16531] by Demod 1563 with 262 at 3
% 9.22/2.63  Id : 12261, {_}: multiply (inverse ?16536) (greatest_lower_bound ?16537 ?16536) =>= negative_part (multiply (inverse ?16536) ?16537) [16537, 16536] by Super 12259 with 1528 at 2,2,2
% 9.22/2.63  Id : 351, {_}: greatest_lower_bound ?799 (least_upper_bound identity ?800) =<= least_upper_bound (negative_part ?799) (greatest_lower_bound ?799 ?800) [800, 799] by Super 334 with 18 at 1,3
% 9.22/2.63  Id : 248, {_}: least_upper_bound identity ?543 =>= positive_part ?543 [543] by Super 6 with 17 at 3
% 9.22/2.63  Id : 9375, {_}: greatest_lower_bound ?12641 (positive_part ?12642) =<= least_upper_bound (negative_part ?12641) (greatest_lower_bound ?12641 ?12642) [12642, 12641] by Demod 351 with 248 at 2,2
% 9.22/2.63  Id : 623, {_}: greatest_lower_bound ?1137 (greatest_lower_bound ?1138 ?1139) =?= greatest_lower_bound ?1138 (greatest_lower_bound ?1139 ?1137) [1139, 1138, 1137] by Super 5 with 7 at 3
% 9.22/2.63  Id : 625, {_}: greatest_lower_bound ?1145 (greatest_lower_bound ?1146 ?1145) =>= greatest_lower_bound ?1146 ?1145 [1146, 1145] by Super 623 with 10 at 2,3
% 9.22/2.63  Id : 9386, {_}: greatest_lower_bound ?12673 (positive_part (greatest_lower_bound ?12674 ?12673)) =<= least_upper_bound (negative_part ?12673) (greatest_lower_bound ?12674 ?12673) [12674, 12673] by Super 9375 with 625 at 2,3
% 9.22/2.63  Id : 9376, {_}: greatest_lower_bound ?12644 (positive_part ?12645) =<= least_upper_bound (negative_part ?12644) (greatest_lower_bound ?12645 ?12644) [12645, 12644] by Super 9375 with 5 at 2,3
% 9.22/2.63  Id : 27928, {_}: greatest_lower_bound ?12673 (positive_part (greatest_lower_bound ?12674 ?12673)) =>= greatest_lower_bound ?12673 (positive_part ?12674) [12674, 12673] by Demod 9386 with 9376 at 3
% 9.22/2.63  Id : 577, {_}: greatest_lower_bound ?1039 (positive_part ?1039) =>= ?1039 [1039] by Super 12 with 17 at 2,2
% 9.22/2.63  Id : 485, {_}: least_upper_bound identity (negative_part ?951) =>= identity [951] by Super 11 with 262 at 2,2
% 9.22/2.63  Id : 495, {_}: positive_part (negative_part ?951) =>= identity [951] by Demod 485 with 248 at 2
% 9.22/2.63  Id : 579, {_}: greatest_lower_bound (negative_part ?1042) identity =>= negative_part ?1042 [1042] by Super 577 with 495 at 2,2
% 9.22/2.63  Id : 591, {_}: greatest_lower_bound identity (negative_part ?1042) =>= negative_part ?1042 [1042] by Demod 579 with 5 at 2
% 9.22/2.63  Id : 592, {_}: negative_part (negative_part ?1042) =>= negative_part ?1042 [1042] by Demod 591 with 262 at 2
% 9.22/2.63  Id : 38921, {_}: multiply ?43719 (positive_part ?43720) =<= least_upper_bound ?43719 (multiply ?43719 ?43720) [43720, 43719] by Demod 38868 with 1528 at 1,2,3
% 9.22/2.63  Id : 38937, {_}: multiply (negative_part (inverse ?43763)) (positive_part ?43763) =<= least_upper_bound (negative_part (inverse ?43763)) (negative_part ?43763) [43763] by Super 38921 with 3775 at 2,3
% 9.22/2.63  Id : 3719, {_}: multiply (negative_part ?513) ?514 =<= greatest_lower_bound ?514 (multiply ?513 ?514) [514, 513] by Demod 225 with 262 at 1,2
% 9.22/2.63  Id : 1545, {_}: multiply ?2496 (least_upper_bound ?2497 (inverse ?2496)) =>= least_upper_bound (multiply ?2496 ?2497) identity [2497, 2496] by Super 13 with 1504 at 2,3
% 9.22/2.63  Id : 1568, {_}: multiply ?2496 (least_upper_bound ?2497 (inverse ?2496)) =>= least_upper_bound identity (multiply ?2496 ?2497) [2497, 2496] by Demod 1545 with 6 at 3
% 9.22/2.63  Id : 14421, {_}: multiply ?18788 (least_upper_bound ?18789 (inverse ?18788)) =>= positive_part (multiply ?18788 ?18789) [18789, 18788] by Demod 1568 with 248 at 3
% 9.22/2.63  Id : 14426, {_}: multiply ?18801 (positive_part (inverse ?18801)) =>= positive_part (multiply ?18801 identity) [18801] by Super 14421 with 248 at 2,2
% 9.22/2.63  Id : 14460, {_}: multiply ?18801 (positive_part (inverse ?18801)) =>= positive_part ?18801 [18801] by Demod 14426 with 1488 at 1,3
% 9.22/2.63  Id : 14489, {_}: positive_part (inverse ?18869) =<= multiply (inverse ?18869) (positive_part ?18869) [18869] by Super 31 with 14460 at 2,3
% 9.22/2.63  Id : 14557, {_}: multiply (negative_part (inverse ?18921)) (positive_part ?18921) =<= greatest_lower_bound (positive_part ?18921) (positive_part (inverse ?18921)) [18921] by Super 3719 with 14489 at 2,3
% 9.22/2.63  Id : 427, {_}: least_upper_bound identity (greatest_lower_bound ?860 ?861) =<= greatest_lower_bound (least_upper_bound identity ?860) (positive_part ?861) [861, 860] by Super 19 with 248 at 2,3
% 9.22/2.63  Id : 438, {_}: positive_part (greatest_lower_bound ?860 ?861) =<= greatest_lower_bound (least_upper_bound identity ?860) (positive_part ?861) [861, 860] by Demod 427 with 248 at 2
% 9.22/2.63  Id : 439, {_}: positive_part (greatest_lower_bound ?860 ?861) =<= greatest_lower_bound (positive_part ?860) (positive_part ?861) [861, 860] by Demod 438 with 248 at 1,3
% 9.22/2.63  Id : 14586, {_}: multiply (negative_part (inverse ?18921)) (positive_part ?18921) =>= positive_part (greatest_lower_bound ?18921 (inverse ?18921)) [18921] by Demod 14557 with 439 at 3
% 9.22/2.63  Id : 39056, {_}: positive_part (greatest_lower_bound ?43763 (inverse ?43763)) =<= least_upper_bound (negative_part (inverse ?43763)) (negative_part ?43763) [43763] by Demod 38937 with 14586 at 2
% 9.22/2.63  Id : 39057, {_}: positive_part (greatest_lower_bound ?43763 (inverse ?43763)) =<= least_upper_bound (negative_part ?43763) (negative_part (inverse ?43763)) [43763] by Demod 39056 with 6 at 3
% 9.22/2.63  Id : 477, {_}: greatest_lower_bound identity (least_upper_bound ?934 ?935) =<= least_upper_bound (greatest_lower_bound identity ?934) (negative_part ?935) [935, 934] by Super 20 with 262 at 2,3
% 9.22/2.63  Id : 503, {_}: negative_part (least_upper_bound ?934 ?935) =<= least_upper_bound (greatest_lower_bound identity ?934) (negative_part ?935) [935, 934] by Demod 477 with 262 at 2
% 9.22/2.63  Id : 504, {_}: negative_part (least_upper_bound ?934 ?935) =<= least_upper_bound (negative_part ?934) (negative_part ?935) [935, 934] by Demod 503 with 262 at 1,3
% 9.22/2.63  Id : 39058, {_}: positive_part (greatest_lower_bound ?43763 (inverse ?43763)) =<= negative_part (least_upper_bound ?43763 (inverse ?43763)) [43763] by Demod 39057 with 504 at 3
% 9.22/2.63  Id : 39204, {_}: negative_part (positive_part (greatest_lower_bound ?43970 (inverse ?43970))) =>= negative_part (least_upper_bound ?43970 (inverse ?43970)) [43970] by Super 592 with 39058 at 1,2
% 9.22/2.63  Id : 480, {_}: negative_part (least_upper_bound identity ?941) =>= identity [941] by Super 12 with 262 at 2
% 9.22/2.63  Id : 500, {_}: negative_part (positive_part ?941) =>= identity [941] by Demod 480 with 248 at 1,2
% 9.22/2.63  Id : 39325, {_}: identity =<= negative_part (least_upper_bound ?43970 (inverse ?43970)) [43970] by Demod 39204 with 500 at 2
% 9.22/2.63  Id : 39326, {_}: identity =<= positive_part (greatest_lower_bound ?43970 (inverse ?43970)) [43970] by Demod 39325 with 39058 at 3
% 9.22/2.63  Id : 41047, {_}: greatest_lower_bound (inverse ?45385) identity =<= greatest_lower_bound (inverse ?45385) (positive_part ?45385) [45385] by Super 27928 with 39326 at 2,2
% 9.22/2.63  Id : 41106, {_}: greatest_lower_bound identity (inverse ?45385) =<= greatest_lower_bound (inverse ?45385) (positive_part ?45385) [45385] by Demod 41047 with 5 at 2
% 9.22/2.63  Id : 41107, {_}: negative_part (inverse ?45385) =<= greatest_lower_bound (inverse ?45385) (positive_part ?45385) [45385] by Demod 41106 with 262 at 2
% 9.22/2.63  Id : 41985, {_}: multiply (inverse (positive_part ?45987)) (negative_part (inverse ?45987)) =>= negative_part (multiply (inverse (positive_part ?45987)) (inverse ?45987)) [45987] by Super 12261 with 41107 at 2,2
% 9.22/2.63  Id : 51356, {_}: multiply (inverse (positive_part ?53663)) (positive_part (negative_part (inverse ?53663))) =<= least_upper_bound (inverse (positive_part ?53663)) (negative_part (multiply (inverse (positive_part ?53663)) (inverse ?53663))) [53663] by Super 38869 with 41985 at 2,3
% 9.22/2.63  Id : 51479, {_}: multiply (inverse (positive_part ?53663)) identity =<= least_upper_bound (inverse (positive_part ?53663)) (negative_part (multiply (inverse (positive_part ?53663)) (inverse ?53663))) [53663] by Demod 51356 with 495 at 2,2
% 9.22/2.63  Id : 252, {_}: greatest_lower_bound ?553 (positive_part ?553) =>= ?553 [553] by Super 12 with 17 at 2,2
% 9.22/2.63  Id : 195, {_}: multiply (least_upper_bound identity ?446) ?447 =<= least_upper_bound ?447 (multiply ?446 ?447) [447, 446] by Super 191 with 2 at 1,3
% 9.22/2.63  Id : 3322, {_}: multiply (positive_part ?5160) ?5161 =<= least_upper_bound ?5161 (multiply ?5160 ?5161) [5161, 5160] by Demod 195 with 248 at 1,2
% 9.22/2.63  Id : 3326, {_}: multiply (positive_part ?5171) (inverse ?5171) =>= least_upper_bound (inverse ?5171) identity [5171] by Super 3322 with 1504 at 2,3
% 9.22/2.63  Id : 3354, {_}: multiply (positive_part ?5171) (inverse ?5171) =>= least_upper_bound identity (inverse ?5171) [5171] by Demod 3326 with 6 at 3
% 9.22/2.63  Id : 3416, {_}: multiply (positive_part ?5264) (inverse ?5264) =>= positive_part (inverse ?5264) [5264] by Demod 3354 with 248 at 3
% 9.22/2.63  Id : 251, {_}: least_upper_bound ?550 (least_upper_bound ?551 identity) =>= positive_part (least_upper_bound ?550 ?551) [551, 550] by Super 8 with 17 at 3
% 9.22/2.63  Id : 259, {_}: least_upper_bound ?550 (positive_part ?551) =>= positive_part (least_upper_bound ?550 ?551) [551, 550] by Demod 251 with 17 at 2,2
% 9.22/2.63  Id : 700, {_}: positive_part (least_upper_bound (positive_part ?1308) ?1308) =>= positive_part ?1308 [1308] by Super 9 with 259 at 2
% 9.22/2.63  Id : 720, {_}: positive_part (least_upper_bound ?1308 (positive_part ?1308)) =>= positive_part ?1308 [1308] by Demod 700 with 6 at 1,2
% 9.22/2.63  Id : 721, {_}: positive_part (positive_part (least_upper_bound ?1308 ?1308)) =>= positive_part ?1308 [1308] by Demod 720 with 259 at 1,2
% 9.22/2.63  Id : 722, {_}: positive_part (positive_part ?1308) =>= positive_part ?1308 [1308] by Demod 721 with 9 at 1,1,2
% 9.22/2.63  Id : 3421, {_}: multiply (positive_part ?5272) (inverse (positive_part ?5272)) =>= positive_part (inverse (positive_part ?5272)) [5272] by Super 3416 with 722 at 1,2
% 9.22/2.63  Id : 3458, {_}: identity =<= positive_part (inverse (positive_part ?5272)) [5272] by Demod 3421 with 1504 at 2
% 9.22/2.63  Id : 3516, {_}: greatest_lower_bound (inverse (positive_part ?5374)) identity =>= inverse (positive_part ?5374) [5374] by Super 252 with 3458 at 2,2
% 9.22/2.63  Id : 3557, {_}: greatest_lower_bound identity (inverse (positive_part ?5374)) =>= inverse (positive_part ?5374) [5374] by Demod 3516 with 5 at 2
% 9.22/2.63  Id : 3558, {_}: negative_part (inverse (positive_part ?5374)) =>= inverse (positive_part ?5374) [5374] by Demod 3557 with 262 at 2
% 9.22/2.63  Id : 3654, {_}: negative_part (least_upper_bound (inverse (positive_part ?5501)) ?5502) =<= least_upper_bound (inverse (positive_part ?5501)) (negative_part ?5502) [5502, 5501] by Super 504 with 3558 at 1,3
% 9.22/2.63  Id : 51480, {_}: multiply (inverse (positive_part ?53663)) identity =<= negative_part (least_upper_bound (inverse (positive_part ?53663)) (multiply (inverse (positive_part ?53663)) (inverse ?53663))) [53663] by Demod 51479 with 3654 at 3
% 9.22/2.63  Id : 51481, {_}: inverse (positive_part ?53663) =<= negative_part (least_upper_bound (inverse (positive_part ?53663)) (multiply (inverse (positive_part ?53663)) (inverse ?53663))) [53663] by Demod 51480 with 1488 at 2
% 9.22/2.63  Id : 51482, {_}: inverse (positive_part ?53663) =<= negative_part (multiply (inverse (positive_part ?53663)) (positive_part (inverse ?53663))) [53663] by Demod 51481 with 38869 at 1,3
% 9.22/2.63  Id : 3355, {_}: multiply (positive_part ?5171) (inverse ?5171) =>= positive_part (inverse ?5171) [5171] by Demod 3354 with 248 at 3
% 9.22/2.63  Id : 3415, {_}: inverse ?5262 =<= multiply (inverse (positive_part ?5262)) (positive_part (inverse ?5262)) [5262] by Super 31 with 3355 at 2,3
% 9.22/2.63  Id : 51483, {_}: inverse (positive_part ?53663) =<= negative_part (inverse ?53663) [53663] by Demod 51482 with 3415 at 1,3
% 9.22/2.63  Id : 51803, {_}: ?5662 =<= multiply (inverse (inverse (positive_part ?5662))) (negative_part ?5662) [5662] by Demod 3792 with 51483 at 1,1,3
% 9.22/2.63  Id : 51830, {_}: ?5662 =<= multiply (positive_part ?5662) (negative_part ?5662) [5662] by Demod 51803 with 1528 at 1,3
% 9.22/2.63  Id : 52166, {_}: a =?= a [] by Demod 1 with 51830 at 3
% 9.22/2.63  Id :   1, {_}: a =<= multiply (positive_part a) (negative_part a) [] by prove_lat4
% 9.22/2.63  % SZS output end CNFRefutation for theBenchmark.p
% 9.22/2.63  26272: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 2.292131 using kbo
%------------------------------------------------------------------------------