TSTP Solution File: GRP167-1 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP167-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n032.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 09:13:01 EDT 2022
% Result : Unsatisfiable 3.02s 3.43s
% Output : CNFRefutation 3.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP167-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.09 % Command : fiesta-wrapper %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Mon Jun 13 09:55:11 EDT 2022
% 0.09/0.28 % CPUTime :
% 3.02/3.43 Theorem Proved.
% 3.02/3.43 % SZS status Unsatisfiable
% 3.02/3.43 % SZS output start CNFRefutation
% 3.02/3.43 [1=axiom,[],
% 3.02/3.43 greatest_lower_bound(X10,least_upper_bound(X11,X12)) = least_upper_bound(greatest_lower_bound(X10,X11),greatest_lower_bound(X10,X12))].
% 3.02/3.43 [2=axiom,[1],
% 3.02/3.43 least_upper_bound(greatest_lower_bound(least_upper_bound(X10,X11),X10),greatest_lower_bound(least_upper_bound(X10,X11),X12)) = least_upper_bound(X10,greatest_lower_bound(X11,X12))].
% 3.02/3.43 [3=axiom,[],
% 3.02/3.43 greatest_lower_bound(X10,identity) = negative_part(X10)].
% 3.02/3.43 [4=axiom,[],
% 3.02/3.43 least_upper_bound(X10,identity) = positive_part(X10)].
% 3.02/3.43 [5=axiom,[],
% 3.02/3.43 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))].
% 3.02/3.43 [6=axiom,[],
% 3.02/3.43 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))].
% 3.02/3.43 [7=axiom,[],
% 3.02/3.43 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))].
% 3.02/3.43 [8=axiom,[],
% 3.02/3.43 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))].
% 3.02/3.43 [10=axiom,[],
% 3.02/3.43 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10].
% 3.02/3.43 [11=axiom,[],
% 3.02/3.43 greatest_lower_bound(X10,X10) = X10].
% 3.02/3.43 [12=axiom,[],
% 3.02/3.43 least_upper_bound(X10,X10) = X10].
% 3.02/3.43 [13=axiom,[],
% 3.02/3.43 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))].
% 3.02/3.43 [14=axiom,[],
% 3.02/3.43 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 3.02/3.43 [15=axiom,[],
% 3.02/3.43 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)].
% 3.02/3.43 [16=axiom,[],
% 3.02/3.43 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)].
% 3.02/3.43 [17=demod(2),[16,1,11,10],
% 3.02/3.43 least_upper_bound(X10,greatest_lower_bound(least_upper_bound(X10,X11),X12)) = least_upper_bound(X10,greatest_lower_bound(X11,X12))].
% 3.02/3.43 [18=axiom,[],
% 3.02/3.43 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 3.02/3.43 [19=axiom,[],
% 3.02/3.43 multiply(inverse(X10),X10) = identity].
% 3.02/3.43 [20=axiom,[],
% 3.02/3.43 multiply(identity,X10) = X10].
% 3.02/3.43 [21=axiom,[],
% 3.02/3.43 thtop(X10,X10) = thmfalse].
% 3.02/3.43 [22=axiom,[],
% 3.02/3.43 thtop(a,multiply(positive_part(a),negative_part(a))) = thmtrue].
% 3.02/3.43 [23=param(1,4),[3,15],
% 3.02/3.43 greatest_lower_bound(X10,positive_part(X11)) = least_upper_bound(negative_part(X10),greatest_lower_bound(X10,X11))].
% 3.02/3.43 [25=param(3,11),[],
% 3.02/3.43 negative_part(identity) = identity].
% 3.02/3.43 [26=param(5,3),[20,16],
% 3.02/3.43 multiply(negative_part(X10),X11) = greatest_lower_bound(X11,multiply(X10,X11))].
% 3.02/3.43 [28=param(1,10),[],
% 3.02/3.43 least_upper_bound(greatest_lower_bound(X10,X11),greatest_lower_bound(X10,greatest_lower_bound(X11,X12))) = greatest_lower_bound(X10,X11)].
% 3.02/3.43 [29=param(10,3),[],
% 3.02/3.43 least_upper_bound(X10,negative_part(X10)) = X10].
% 3.02/3.43 [31=param(6,4),[20,15],
% 3.02/3.43 multiply(positive_part(X10),X11) = least_upper_bound(X11,multiply(X10,X11))].
% 3.02/3.43 [33=param(16,1),[],
% 3.02/3.43 greatest_lower_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(greatest_lower_bound(X12,X10),greatest_lower_bound(X12,X11))].
% 3.02/3.43 [34=param(16,3),[],
% 3.02/3.43 greatest_lower_bound(identity,X10) = negative_part(X10)].
% 3.02/3.43 [35=param(10,16),[],
% 3.02/3.43 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10].
% 3.02/3.43 [36=param(34,1),[34,34],
% 3.02/3.43 least_upper_bound(negative_part(X10),negative_part(X11)) = negative_part(least_upper_bound(X10,X11))].
% 3.02/3.43 [37=param(10,34),[],
% 3.02/3.43 least_upper_bound(identity,negative_part(X10)) = identity].
% 3.02/3.43 [38=param(7,3),[],
% 3.02/3.43 multiply(X10,negative_part(X11)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,identity))].
% 3.02/3.43 [39=param(7,19),[],
% 3.02/3.43 greatest_lower_bound(multiply(inverse(greatest_lower_bound(X10,X11)),X10),multiply(inverse(greatest_lower_bound(X10,X11)),X11)) = identity].
% 3.02/3.43 [43=param(8,4),[],
% 3.02/3.43 multiply(X10,positive_part(X11)) = least_upper_bound(multiply(X10,X11),multiply(X10,identity))].
% 3.02/3.43 [44=param(8,19),[],
% 3.02/3.43 least_upper_bound(multiply(inverse(least_upper_bound(X10,X11)),X10),multiply(inverse(least_upper_bound(X10,X11)),X11)) = identity].
% 3.02/3.43 [45=param(15,4),[],
% 3.02/3.43 least_upper_bound(identity,X10) = positive_part(X10)].
% 3.02/3.43 [46=demod(37),[45],
% 3.02/3.43 positive_part(negative_part(X10)) = identity].
% 3.02/3.43 [47=param(13,4),[4],
% 3.02/3.43 least_upper_bound(X10,positive_part(X11)) = positive_part(least_upper_bound(X10,X11))].
% 3.02/3.43 [48=param(13,4),[45,47],
% 3.02/3.43 least_upper_bound(positive_part(X10),X11) = positive_part(least_upper_bound(X10,X11))].
% 3.02/3.43 [52=param(13,12),[],
% 3.02/3.43 least_upper_bound(X10,least_upper_bound(X10,X11)) = least_upper_bound(X10,X11)].
% 3.02/3.43 [53=param(13,15),[],
% 3.02/3.43 least_upper_bound(X10,least_upper_bound(X11,X12)) = least_upper_bound(X12,least_upper_bound(X10,X11))].
% 3.02/3.43 [54=param(13,15),[13],
% 3.02/3.43 least_upper_bound(X10,least_upper_bound(X11,X12)) = least_upper_bound(X11,least_upper_bound(X10,X12))].
% 3.02/3.43 [56=param(13,29),[],
% 3.02/3.43 least_upper_bound(X10,least_upper_bound(negative_part(X10),X11)) = least_upper_bound(X10,X11)].
% 3.02/3.43 [59=param(48,12),[47,12],
% 3.02/3.43 positive_part(positive_part(X10)) = positive_part(X10)].
% 3.02/3.43 [64=param(14,3),[3],
% 3.02/3.43 greatest_lower_bound(X10,negative_part(X11)) = negative_part(greatest_lower_bound(X10,X11))].
% 3.02/3.43 [65=param(14,3),[34,64],
% 3.02/3.43 greatest_lower_bound(negative_part(X10),X11) = negative_part(greatest_lower_bound(X10,X11))].
% 3.02/3.43 [67=param(14,11),[],
% 3.02/3.43 greatest_lower_bound(X10,greatest_lower_bound(X10,X11)) = greatest_lower_bound(X10,X11)].
% 3.02/3.43 [68=param(14,16),[],
% 3.02/3.43 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X12,greatest_lower_bound(X10,X11))].
% 3.02/3.43 [69=param(14,16),[14],
% 3.02/3.43 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X11,greatest_lower_bound(X10,X12))].
% 3.02/3.43 [74=param(17,3),[3],
% 3.02/3.43 least_upper_bound(X10,negative_part(least_upper_bound(X10,X11))) = least_upper_bound(X10,negative_part(X11))].
% 3.02/3.43 [75=param(17,4),[34],
% 3.02/3.43 least_upper_bound(X10,greatest_lower_bound(positive_part(X10),X11)) = least_upper_bound(X10,negative_part(X11))].
% 3.02/3.43 [85=param(18,19),[20],
% 3.02/3.43 multiply(inverse(X11),multiply(X11,X10)) = X10].
% 3.02/3.43 [89=param(14,23),[],
% 3.02/3.43 greatest_lower_bound(least_upper_bound(negative_part(X10),greatest_lower_bound(X10,X11)),X12) = greatest_lower_bound(X10,greatest_lower_bound(positive_part(X11),X12))].
% 3.02/3.43 [91=param(23,34),[25,34,45,46],
% 3.02/3.43 negative_part(positive_part(X10)) = identity].
% 3.02/3.43 [93=param(65,91),[34],
% 3.02/3.43 negative_part(greatest_lower_bound(positive_part(X11),X10)) = negative_part(X10)].
% 3.02/3.43 [99=param(85,19),[],
% 3.02/3.43 multiply(inverse(inverse(X10)),identity) = X10].
% 3.02/3.43 [102=param(85,85),[],
% 3.02/3.43 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)].
% 3.02/3.43 [103=demod(99),[102],
% 3.02/3.43 multiply(X10,identity) = X10].
% 3.02/3.43 [104=demod(43),[103,15],
% 3.02/3.43 multiply(X10,positive_part(X11)) = least_upper_bound(X10,multiply(X10,X11))].
% 3.02/3.43 [105=demod(38),[103,16],
% 3.02/3.43 multiply(X10,negative_part(X11)) = greatest_lower_bound(X10,multiply(X10,X11))].
% 3.02/3.43 [110=param(85,31),[8],
% 3.02/3.43 least_upper_bound(multiply(inverse(positive_part(X10)),X11),multiply(inverse(positive_part(X10)),multiply(X10,X11))) = X11].
% 3.02/3.43 [111=param(105,19),[],
% 3.02/3.43 greatest_lower_bound(inverse(negative_part(X10)),multiply(inverse(negative_part(X10)),X10)) = identity].
% 3.02/3.43 [112=param(22,105),[31,1,16,23,11,15,29,75],
% 3.02/3.43 thtop(a,least_upper_bound(a,negative_part(multiply(a,a)))) = thmtrue].
% 3.02/3.43 [113=param(104,19),[],
% 3.02/3.43 least_upper_bound(inverse(positive_part(X10)),multiply(inverse(positive_part(X10)),X10)) = identity].
% 3.02/3.43 [114=param(102,19),[],
% 3.02/3.43 multiply(X10,inverse(X10)) = identity].
% 3.02/3.43 [116=param(102,103),[103],
% 3.02/3.43 inverse(inverse(X10)) = X10].
% 3.02/3.43 [119=param(114,18),[],
% 3.02/3.43 multiply(X10,multiply(X11,inverse(multiply(X10,X11)))) = identity].
% 3.02/3.43 [146=param(67,16),[],
% 3.02/3.43 greatest_lower_bound(X10,greatest_lower_bound(X11,X10)) = greatest_lower_bound(X10,X11)].
% 3.02/3.43 [151=param(146,23),[1,64,93,68],
% 3.02/3.43 least_upper_bound(negative_part(X10),greatest_lower_bound(X11,greatest_lower_bound(positive_part(X11),X10))) = greatest_lower_bound(positive_part(X11),X10)].
% 3.02/3.43 [152=param(146,33),[1,16,1,146,28,1,16,1,146,15,28],
% 3.02/3.43 greatest_lower_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(greatest_lower_bound(X10,X12),greatest_lower_bound(X11,X12))].
% 3.02/3.43 [157=demod(89),[152,65,14],
% 3.02/3.43 greatest_lower_bound(X10,greatest_lower_bound(positive_part(X12),X11)) = least_upper_bound(negative_part(greatest_lower_bound(X10,X11)),greatest_lower_bound(X10,greatest_lower_bound(X12,X11)))].
% 3.02/3.43 [158=demod(151),[157,67,15,29],
% 3.02/3.43 greatest_lower_bound(positive_part(X11),X10) = least_upper_bound(negative_part(X10),greatest_lower_bound(X11,X10))].
% 3.02/3.43 [170=param(67,39),[3,39],
% 3.02/3.43 negative_part(multiply(inverse(greatest_lower_bound(X10,X11)),X10)) = identity].
% 3.02/3.43 [189=param(52,44),[4,44],
% 3.02/3.43 positive_part(multiply(inverse(least_upper_bound(X10,X11)),X10)) = identity].
% 3.02/3.43 [198=param(31,189),[20,18],
% 3.02/3.43 least_upper_bound(X10,multiply(inverse(least_upper_bound(X11,X12)),multiply(X11,X10))) = X10].
% 3.02/3.43 [204=param(26,170),[20,18],
% 3.02/3.43 greatest_lower_bound(X10,multiply(inverse(greatest_lower_bound(X11,X12)),multiply(X11,X10))) = X10].
% 3.02/3.43 [228=param(56,15),[],
% 3.02/3.43 least_upper_bound(X10,least_upper_bound(X11,negative_part(X10))) = least_upper_bound(X10,X11)].
% 3.02/3.43 [237=param(54,56),[],
% 3.02/3.43 least_upper_bound(negative_part(X10),least_upper_bound(X10,X11)) = least_upper_bound(X10,X11)].
% 3.02/3.43 [247=param(228,36),[],
% 3.02/3.43 least_upper_bound(X10,negative_part(least_upper_bound(X11,X10))) = least_upper_bound(X10,negative_part(X11))].
% 3.02/3.43 [313=param(85,119),[103],
% 3.02/3.43 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)].
% 3.02/3.43 [315=param(313,6),[],
% 3.02/3.43 multiply(X10,inverse(least_upper_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(least_upper_bound(X11,X12))].
% 3.02/3.43 [321=param(85,313),[],
% 3.02/3.43 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))].
% 3.02/3.43 [329=param(321,116),[],
% 3.02/3.43 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))].
% 3.02/3.43 [343=demod(111),[329,105,19,3],
% 3.02/3.43 greatest_lower_bound(inverse(negative_part(X10)),inverse(negative_part(inverse(X10)))) = identity].
% 3.02/3.43 [344=demod(113),[329,104,19,4],
% 3.02/3.43 least_upper_bound(inverse(positive_part(X10)),inverse(positive_part(inverse(X10)))) = identity].
% 3.02/3.43 [394=param(110,31),[59,59,8,110,15],
% 3.02/3.43 least_upper_bound(X10,multiply(inverse(positive_part(X11)),X10)) = X10].
% 3.02/3.43 [395=param(110,114),[321,104,103,15],
% 3.02/3.43 least_upper_bound(inverse(positive_part(X10)),inverse(least_upper_bound(X10,multiply(X10,X10)))) = inverse(X10)].
% 3.02/3.43 [403=param(394,45),[103],
% 3.02/3.43 positive_part(inverse(positive_part(X10))) = identity].
% 3.02/3.43 [404=param(394,48),[104],
% 3.02/3.43 positive_part(least_upper_bound(X10,least_upper_bound(inverse(positive_part(X11)),multiply(inverse(positive_part(X11)),X10)))) = positive_part(X10)].
% 3.02/3.43 [406=param(54,394),[],
% 3.02/3.43 least_upper_bound(X11,least_upper_bound(X10,multiply(inverse(positive_part(X12)),X11))) = least_upper_bound(X10,X11)].
% 3.02/3.43 [407=demod(404),[406],
% 3.02/3.43 positive_part(least_upper_bound(inverse(positive_part(X10)),X11)) = positive_part(X11)].
% 3.02/3.43 [425=param(158,403),[34],
% 3.02/3.43 least_upper_bound(negative_part(X10),greatest_lower_bound(inverse(positive_part(X11)),X10)) = negative_part(X10)].
% 3.02/3.43 [668=param(425,11),[15,29],
% 3.02/3.43 negative_part(inverse(positive_part(X10))) = inverse(positive_part(X10))].
% 3.02/3.43 [679=param(105,668),[],
% 3.02/3.43 greatest_lower_bound(X10,multiply(X10,inverse(positive_part(X11)))) = multiply(X10,inverse(positive_part(X11)))].
% 3.02/3.43 [755=param(198,19),[103],
% 3.02/3.43 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),X11))) = X10].
% 3.02/3.43 [758=param(198,114),[103],
% 3.02/3.43 least_upper_bound(inverse(X10),inverse(least_upper_bound(X10,X11))) = inverse(X10)].
% 3.02/3.43 [764=param(755,4),[],
% 3.02/3.43 least_upper_bound(X10,inverse(positive_part(inverse(X10)))) = X10].
% 3.02/3.43 [786=param(54,764),[],
% 3.02/3.43 least_upper_bound(X11,least_upper_bound(X10,inverse(positive_part(inverse(X11))))) = least_upper_bound(X10,X11)].
% 3.02/3.43 [806=param(758,237),[],
% 3.02/3.43 least_upper_bound(inverse(negative_part(X10)),inverse(least_upper_bound(X10,X11))) = inverse(negative_part(X10))].
% 3.02/3.43 [819=param(204,19),[103],
% 3.02/3.43 greatest_lower_bound(X10,inverse(greatest_lower_bound(inverse(X10),X11))) = X10].
% 3.02/3.43 [822=param(204,114),[103],
% 3.02/3.43 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(X10,X11))) = inverse(X10)].
% 3.02/3.43 [828=param(819,3),[],
% 3.02/3.43 greatest_lower_bound(X10,inverse(negative_part(inverse(X10)))) = X10].
% 3.02/3.43 [834=param(819,64),[],
% 3.02/3.43 greatest_lower_bound(X10,inverse(negative_part(greatest_lower_bound(inverse(X10),X11)))) = X10].
% 3.02/3.43 [848=param(69,828),[],
% 3.02/3.43 greatest_lower_bound(X11,greatest_lower_bound(X10,inverse(negative_part(inverse(X11))))) = greatest_lower_bound(X10,X11)].
% 3.02/3.43 [855=param(822,3),[],
% 3.02/3.43 greatest_lower_bound(inverse(X10),inverse(negative_part(X10))) = inverse(X10)].
% 3.02/3.43 [882=param(35,855),[15],
% 3.02/3.43 least_upper_bound(inverse(X10),inverse(negative_part(X10))) = inverse(negative_part(X10))].
% 3.02/3.43 [888=param(54,882),[],
% 3.02/3.43 least_upper_bound(inverse(X11),least_upper_bound(X10,inverse(negative_part(X11)))) = least_upper_bound(X10,inverse(negative_part(X11)))].
% 3.02/3.43 [1043=param(848,343),[3,16],
% 3.02/3.43 greatest_lower_bound(X10,inverse(negative_part(X10))) = negative_part(X10)].
% 3.02/3.43 [1049=param(69,1043),[64],
% 3.02/3.43 greatest_lower_bound(X11,greatest_lower_bound(X10,inverse(negative_part(X11)))) = negative_part(greatest_lower_bound(X10,X11))].
% 3.02/3.43 [1053=param(848,1043),[64,16],
% 3.02/3.43 negative_part(greatest_lower_bound(X10,inverse(X10))) = greatest_lower_bound(X10,inverse(X10))].
% 3.02/3.43 [1056=param(46,1053),[],
% 3.02/3.43 positive_part(greatest_lower_bound(X10,inverse(X10))) = identity].
% 3.02/3.43 [1079=param(158,1056),[34,14],
% 3.02/3.43 least_upper_bound(negative_part(X10),greatest_lower_bound(X11,greatest_lower_bound(inverse(X11),X10))) = negative_part(X10)].
% 3.02/3.43 [1278=param(806,15),[],
% 3.02/3.43 least_upper_bound(inverse(negative_part(X10)),inverse(least_upper_bound(X11,X10))) = inverse(negative_part(X10))].
% 3.02/3.43 [1286=param(786,344),[4,15],
% 3.02/3.43 least_upper_bound(X10,inverse(positive_part(X10))) = positive_part(X10)].
% 3.02/3.43 [1300=param(786,1286),[47,15],
% 3.02/3.43 positive_part(least_upper_bound(X10,inverse(X10))) = least_upper_bound(X10,inverse(X10))].
% 3.02/3.43 [1304=param(91,1300),[],
% 3.02/3.43 negative_part(least_upper_bound(X10,inverse(X10))) = identity].
% 3.02/3.43 [1313=param(668,1300),[1300],
% 3.02/3.43 negative_part(inverse(least_upper_bound(X10,inverse(X10)))) = inverse(least_upper_bound(X10,inverse(X10)))].
% 3.02/3.43 [1327=param(247,1304),[4,15],
% 3.02/3.43 least_upper_bound(negative_part(X10),inverse(X10)) = positive_part(inverse(X10))].
% 3.02/3.43 [2219=param(315,19),[45],
% 3.02/3.43 multiply(X10,inverse(positive_part(multiply(X11,X10)))) = inverse(least_upper_bound(inverse(X10),X11))].
% 3.02/3.43 [2269=param(679,2219),[2219],
% 3.02/3.43 greatest_lower_bound(X10,inverse(least_upper_bound(inverse(X10),X11))) = inverse(least_upper_bound(inverse(X10),X11))].
% 3.02/3.43 [2405=param(834,2269),[116],
% 3.02/3.43 greatest_lower_bound(X10,inverse(negative_part(inverse(least_upper_bound(X10,X11))))) = X10].
% 3.02/3.43 [2409=param(2405,15),[],
% 3.02/3.43 greatest_lower_bound(X10,inverse(negative_part(inverse(least_upper_bound(X11,X10))))) = X10].
% 3.02/3.43 [2425=param(1049,2409),[16],
% 3.02/3.43 negative_part(greatest_lower_bound(X10,inverse(least_upper_bound(X11,X10)))) = greatest_lower_bound(X10,inverse(least_upper_bound(X11,X10)))].
% 3.02/3.43 [2809=param(407,395),[],
% 3.02/3.43 positive_part(inverse(least_upper_bound(X10,multiply(X10,X10)))) = positive_part(inverse(X10))].
% 3.02/3.43 [3652=param(1079,16),[],
% 3.02/3.43 least_upper_bound(negative_part(X10),greatest_lower_bound(X11,greatest_lower_bound(X10,inverse(X11)))) = negative_part(X10)].
% 3.02/3.43 [3662=param(3652,2409),[16,64,2425],
% 3.02/3.43 least_upper_bound(negative_part(X10),greatest_lower_bound(X10,inverse(least_upper_bound(X11,X10)))) = negative_part(X10)].
% 3.02/3.43 [3666=param(3662,2269),[15],
% 3.02/3.43 least_upper_bound(negative_part(X10),inverse(least_upper_bound(X10,inverse(X10)))) = negative_part(X10)].
% 3.02/3.43 [3673=param(1278,3666),[1313,116,15,53,15,888,1313,116],
% 3.02/3.43 least_upper_bound(X10,inverse(negative_part(X10))) = least_upper_bound(X10,inverse(X10))].
% 3.02/3.43 [3684=param(2409,3673),[1313,116,1,16,1043,16,855,1327],
% 3.02/3.43 inverse(negative_part(X10)) = positive_part(inverse(X10))].
% 3.02/3.43 [3785=param(116,3684),[],
% 3.02/3.43 inverse(positive_part(inverse(X10))) = negative_part(X10)].
% 3.02/3.43 [3836=param(3785,116),[],
% 3.02/3.43 inverse(positive_part(X10)) = negative_part(inverse(X10))].
% 3.02/3.43 [3951=param(3836,2809),[3836,116,116],
% 3.02/3.43 negative_part(least_upper_bound(X10,multiply(X10,X10))) = negative_part(X10)].
% 3.02/3.43 [3968=param(74,3951),[29],
% 3.02/3.43 least_upper_bound(X10,negative_part(multiply(X10,X10))) = X10].
% 3.02/3.43 [3978=param(112,3968),[21],
% 3.02/3.43 thmtrue = thmfalse].
% 3.02/3.43 % SZS output end CNFRefutation
% 3.02/3.43 Space: 11002 KB
%------------------------------------------------------------------------------