TSTP Solution File: GRP183-2 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP183-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %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 09:13:10 EDT 2022
% Result : Unsatisfiable 3.32s 3.74s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP183-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : fiesta-wrapper %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 10:28:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.32/3.74 Theorem Proved.
% 3.32/3.74 % SZS status Unsatisfiable
% 3.32/3.74 % SZS output start CNFRefutation
% 3.32/3.74 [1=axiom,[],
% 3.32/3.74 inverse(multiply(X10,X11)) = multiply(inverse(X11),inverse(X10))].
% 3.32/3.74 [2=axiom,[],
% 3.32/3.74 inverse(inverse(X10)) = X10].
% 3.32/3.74 [3=axiom,[],
% 3.32/3.74 inverse(identity) = identity].
% 3.32/3.74 [4=axiom,[],
% 3.32/3.74 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))].
% 3.32/3.74 [5=axiom,[],
% 3.32/3.74 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))].
% 3.32/3.74 [6=axiom,[],
% 3.32/3.74 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))].
% 3.32/3.74 [7=axiom,[],
% 3.32/3.74 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))].
% 3.32/3.74 [8=axiom,[],
% 3.32/3.74 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10].
% 3.32/3.74 [9=axiom,[],
% 3.32/3.74 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10].
% 3.32/3.74 [12=axiom,[],
% 3.32/3.74 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))].
% 3.32/3.74 [13=axiom,[],
% 3.32/3.74 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 3.32/3.74 [14=axiom,[],
% 3.32/3.74 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)].
% 3.32/3.74 [15=axiom,[],
% 3.32/3.74 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)].
% 3.32/3.74 [16=axiom,[],
% 3.32/3.74 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 3.32/3.74 [17=axiom,[],
% 3.32/3.74 multiply(inverse(X10),X10) = identity].
% 3.32/3.74 [18=axiom,[],
% 3.32/3.74 multiply(identity,X10) = X10].
% 3.32/3.74 [19=axiom,[],
% 3.32/3.74 thtop(X10,X10) = thmfalse].
% 3.32/3.74 [20=axiom,[],
% 3.32/3.74 thtop(greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))),identity) = thmtrue].
% 3.32/3.74 [23=param(1,3),[18],
% 3.32/3.74 inverse(multiply(X10,identity)) = inverse(X10)].
% 3.32/3.74 [25=param(1,2),[],
% 3.32/3.74 multiply(X10,inverse(X11)) = inverse(multiply(X11,inverse(X10)))].
% 3.32/3.74 [28=param(17,1),[-25],
% 3.32/3.74 multiply(X10,inverse(X10)) = identity].
% 3.32/3.74 [30=param(28,4),[],
% 3.32/3.74 greatest_lower_bound(multiply(X10,inverse(greatest_lower_bound(X10,X11))),multiply(X11,inverse(greatest_lower_bound(X10,X11)))) = identity].
% 3.32/3.74 [31=param(5,28),[],
% 3.32/3.74 least_upper_bound(multiply(X10,inverse(least_upper_bound(X10,X11))),multiply(X11,inverse(least_upper_bound(X10,X11)))) = identity].
% 3.32/3.74 [33=param(2,23),[2],
% 3.32/3.74 multiply(X10,identity) = X10].
% 3.32/3.74 [34=param(9,15),[],
% 3.32/3.74 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10].
% 3.32/3.74 [36=param(8,12),[],
% 3.32/3.74 greatest_lower_bound(least_upper_bound(X10,X11),least_upper_bound(X10,least_upper_bound(X11,X12))) = least_upper_bound(X10,X11)].
% 3.32/3.74 [38=param(12,9),[],
% 3.32/3.74 least_upper_bound(X10,least_upper_bound(greatest_lower_bound(X10,X12),X11)) = least_upper_bound(X10,X11)].
% 3.32/3.74 [42=param(8,14),[],
% 3.32/3.74 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10].
% 3.32/3.74 [43=param(14,12),[],
% 3.32/3.74 least_upper_bound(X10,least_upper_bound(X11,X12)) = least_upper_bound(X11,least_upper_bound(X12,X10))].
% 3.32/3.74 [46=param(42,12),[],
% 3.32/3.74 greatest_lower_bound(X10,least_upper_bound(X11,least_upper_bound(X12,X10))) = X10].
% 3.32/3.74 [47=param(42,34),[15],
% 3.32/3.74 greatest_lower_bound(X10,greatest_lower_bound(X11,X10)) = greatest_lower_bound(X11,X10)].
% 3.32/3.74 [48=param(34,42),[14],
% 3.32/3.74 least_upper_bound(X10,least_upper_bound(X11,X10)) = least_upper_bound(X11,X10)].
% 3.32/3.74 [51=param(9,13),[],
% 3.32/3.74 least_upper_bound(greatest_lower_bound(X10,X11),greatest_lower_bound(X10,greatest_lower_bound(X11,X12))) = greatest_lower_bound(X10,X11)].
% 3.32/3.74 [52=param(13,15),[],
% 3.32/3.74 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X12,greatest_lower_bound(X10,X11))].
% 3.32/3.74 [53=param(13,15),[13],
% 3.32/3.74 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X11,greatest_lower_bound(X10,X12))].
% 3.32/3.74 [54=param(34,13),[],
% 3.32/3.74 least_upper_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X12,X10))) = X10].
% 3.32/3.74 [56=param(13,42),[],
% 3.32/3.74 greatest_lower_bound(X10,greatest_lower_bound(least_upper_bound(X12,X10),X11)) = greatest_lower_bound(X10,X11)].
% 3.32/3.74 [57=param(48,12),[],
% 3.32/3.74 least_upper_bound(X11,least_upper_bound(X12,least_upper_bound(X10,least_upper_bound(X11,X12)))) = least_upper_bound(X10,least_upper_bound(X11,X12))].
% 3.32/3.74 [58=param(48,12),[12],
% 3.32/3.74 least_upper_bound(X10,least_upper_bound(X11,least_upper_bound(X12,X10))) = least_upper_bound(X11,least_upper_bound(X12,X10))].
% 3.32/3.74 [59=demod(57),[58],
% 3.32/3.74 least_upper_bound(X10,least_upper_bound(X11,least_upper_bound(X10,X12))) = least_upper_bound(X11,least_upper_bound(X10,X12))].
% 3.32/3.74 [61=param(13,47),[13,13],
% 3.32/3.74 greatest_lower_bound(X11,greatest_lower_bound(X10,greatest_lower_bound(X11,X12))) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 3.32/3.74 [64=param(16,17),[18],
% 3.32/3.74 multiply(inverse(X11),multiply(X11,X10)) = X10].
% 3.32/3.74 [66=param(16,28),[18],
% 3.32/3.74 multiply(X11,multiply(inverse(X11),X10)) = X10].
% 3.32/3.74 [67=param(66,1),[],
% 3.32/3.74 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)].
% 3.32/3.74 [76=param(67,4),[],
% 3.32/3.74 multiply(X10,inverse(greatest_lower_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(greatest_lower_bound(X11,X12))].
% 3.32/3.74 [77=param(67,5),[],
% 3.32/3.74 multiply(X10,inverse(least_upper_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(least_upper_bound(X11,X12))].
% 3.32/3.74 [80=param(54,8),[12],
% 3.32/3.74 least_upper_bound(X10,least_upper_bound(X11,greatest_lower_bound(X12,X10))) = least_upper_bound(X10,X11)].
% 3.32/3.74 [84=param(54,15),[13],
% 3.32/3.74 least_upper_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X10,X12))) = X10].
% 3.32/3.74 [85=param(42,54),[15],
% 3.32/3.74 greatest_lower_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X12,X10))) = greatest_lower_bound(X11,greatest_lower_bound(X12,X10))].
% 3.32/3.74 [91=param(84,13),[],
% 3.32/3.74 least_upper_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X12,greatest_lower_bound(X10,X13)))) = X10].
% 3.32/3.74 [93=param(46,9),[13],
% 3.32/3.74 greatest_lower_bound(X10,greatest_lower_bound(X11,least_upper_bound(X12,X10))) = greatest_lower_bound(X10,X11)].
% 3.32/3.74 [97=param(46,14),[12],
% 3.32/3.74 greatest_lower_bound(X10,least_upper_bound(X11,least_upper_bound(X10,X12))) = X10].
% 3.32/3.74 [98=param(97,12),[],
% 3.32/3.74 greatest_lower_bound(X10,least_upper_bound(X11,least_upper_bound(X12,least_upper_bound(X10,X13)))) = X10].
% 3.32/3.74 [105=param(93,14),[],
% 3.32/3.74 greatest_lower_bound(X10,greatest_lower_bound(X11,least_upper_bound(X10,X12))) = greatest_lower_bound(X10,X11)].
% 3.32/3.74 [124=param(48,31),[14,31],
% 3.32/3.74 least_upper_bound(identity,multiply(X10,inverse(least_upper_bound(X11,X10)))) = identity].
% 3.32/3.74 [126=param(7,124),[33,33],
% 3.32/3.74 least_upper_bound(X10,multiply(X10,multiply(X11,inverse(least_upper_bound(X12,X11))))) = X10].
% 3.32/3.74 [137=param(36,48),[],
% 3.32/3.74 greatest_lower_bound(least_upper_bound(X10,X11),least_upper_bound(X11,X10)) = least_upper_bound(X10,X11)].
% 3.32/3.74 [139=param(54,137),[12],
% 3.32/3.74 least_upper_bound(X10,least_upper_bound(X11,greatest_lower_bound(X12,least_upper_bound(X11,X10)))) = least_upper_bound(X10,X11)].
% 3.32/3.74 [202=param(51,47),[],
% 3.32/3.74 least_upper_bound(greatest_lower_bound(X10,X11),greatest_lower_bound(X11,X10)) = greatest_lower_bound(X10,X11)].
% 3.32/3.74 [208=param(93,202),[13,61,85,13],
% 3.32/3.74 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X12,greatest_lower_bound(X11,X10))].
% 3.32/3.74 [370=param(76,17),[],
% 3.32/3.74 multiply(X10,inverse(greatest_lower_bound(identity,multiply(X11,X10)))) = inverse(greatest_lower_bound(inverse(X10),X11))].
% 3.32/3.74 [371=param(76,18),[],
% 3.32/3.74 multiply(X10,inverse(greatest_lower_bound(X10,multiply(X11,X10)))) = inverse(greatest_lower_bound(identity,X11))].
% 3.32/3.74 [381=param(77,18),[],
% 3.32/3.74 multiply(X10,inverse(least_upper_bound(X10,multiply(X11,X10)))) = inverse(least_upper_bound(identity,X11))].
% 3.32/3.74 [382=param(381,17),[],
% 3.32/3.74 multiply(X10,inverse(least_upper_bound(X10,identity))) = inverse(least_upper_bound(identity,inverse(X10)))].
% 3.32/3.74 [393=param(371,17),[],
% 3.32/3.74 multiply(X10,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(identity,inverse(X10)))].
% 3.32/3.74 [402=param(30,393),[18],
% 3.32/3.74 greatest_lower_bound(inverse(greatest_lower_bound(identity,inverse(X10))),inverse(greatest_lower_bound(X10,identity))) = identity].
% 3.32/3.74 [413=param(34,402),[14],
% 3.32/3.74 least_upper_bound(identity,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(X10,identity))].
% 3.32/3.74 [416=param(80,402),[],
% 3.32/3.74 least_upper_bound(inverse(greatest_lower_bound(X10,identity)),least_upper_bound(X11,identity)) = least_upper_bound(inverse(greatest_lower_bound(X10,identity)),X11)].
% 3.32/3.74 [421=param(8,413),[],
% 3.32/3.74 greatest_lower_bound(identity,inverse(greatest_lower_bound(X10,identity))) = identity].
% 3.32/3.74 [423=param(36,413),[],
% 3.32/3.74 greatest_lower_bound(least_upper_bound(X10,identity),least_upper_bound(X10,inverse(greatest_lower_bound(X11,identity)))) = least_upper_bound(X10,identity)].
% 3.32/3.74 [431=param(6,421),[33,33],
% 3.32/3.74 greatest_lower_bound(X10,multiply(X10,inverse(greatest_lower_bound(X11,identity)))) = X10].
% 3.32/3.74 [439=param(431,393),[],
% 3.32/3.74 greatest_lower_bound(X10,inverse(greatest_lower_bound(identity,inverse(X10)))) = X10].
% 3.32/3.74 [440=param(439,2),[],
% 3.32/3.74 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(identity,X10))) = inverse(X10)].
% 3.32/3.74 [457=param(440,42),[3,15],
% 3.32/3.74 greatest_lower_bound(identity,inverse(least_upper_bound(X10,identity))) = inverse(least_upper_bound(X10,identity))].
% 3.32/3.74 [465=param(9,457),[],
% 3.32/3.74 least_upper_bound(identity,inverse(least_upper_bound(X10,identity))) = identity].
% 3.32/3.74 [474=param(7,465),[33,33],
% 3.32/3.74 least_upper_bound(X10,multiply(X10,inverse(least_upper_bound(X11,identity)))) = X10].
% 3.32/3.74 [550=param(474,382),[],
% 3.32/3.74 least_upper_bound(X10,inverse(least_upper_bound(identity,inverse(X10)))) = X10].
% 3.32/3.74 [551=param(550,2),[],
% 3.32/3.74 least_upper_bound(inverse(X10),inverse(least_upper_bound(identity,X10))) = inverse(X10)].
% 3.32/3.74 [570=param(551,9),[3,14],
% 3.32/3.74 least_upper_bound(identity,inverse(greatest_lower_bound(identity,X10))) = inverse(greatest_lower_bound(identity,X10))].
% 3.32/3.74 [594=param(8,570),[],
% 3.32/3.74 greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X10))) = identity].
% 3.32/3.74 [606=param(13,594),[],
% 3.32/3.74 greatest_lower_bound(identity,greatest_lower_bound(inverse(greatest_lower_bound(identity,X11)),X10)) = greatest_lower_bound(identity,X10)].
% 3.32/3.74 [691=param(606,53),[],
% 3.32/3.74 greatest_lower_bound(inverse(greatest_lower_bound(identity,X11)),greatest_lower_bound(identity,X10)) = greatest_lower_bound(identity,X10)].
% 3.32/3.74 [700=param(691,15),[],
% 3.32/3.74 greatest_lower_bound(inverse(greatest_lower_bound(X10,identity)),greatest_lower_bound(identity,X11)) = greatest_lower_bound(identity,X11)].
% 3.32/3.74 [705=param(9,700),[],
% 3.32/3.74 least_upper_bound(inverse(greatest_lower_bound(X10,identity)),greatest_lower_bound(identity,X11)) = inverse(greatest_lower_bound(X10,identity))].
% 3.32/3.74 [760=param(126,64),[],
% 3.32/3.74 least_upper_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(X10)].
% 3.32/3.74 [761=param(126,66),[],
% 3.32/3.74 least_upper_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = X10].
% 3.32/3.74 [769=param(761,14),[],
% 3.32/3.74 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),X11))) = X10].
% 3.32/3.74 [772=param(42,761),[15],
% 3.32/3.74 greatest_lower_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = inverse(least_upper_bound(X11,inverse(X10)))].
% 3.32/3.74 [785=param(769,2),[],
% 3.32/3.74 least_upper_bound(inverse(X10),inverse(least_upper_bound(X10,X11))) = inverse(X10)].
% 3.32/3.74 [792=param(42,769),[15],
% 3.32/3.74 greatest_lower_bound(X10,inverse(least_upper_bound(inverse(X10),X11))) = inverse(least_upper_bound(inverse(X10),X11))].
% 3.32/3.74 [816=param(42,785),[15],
% 3.32/3.74 greatest_lower_bound(inverse(X10),inverse(least_upper_bound(X10,X11))) = inverse(least_upper_bound(X10,X11))].
% 3.32/3.74 [832=param(42,760),[15],
% 3.32/3.74 greatest_lower_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(least_upper_bound(X11,X10))].
% 3.32/3.74 [842=param(832,34),[15,34],
% 3.32/3.74 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(X11,X10))) = inverse(X10)].
% 3.32/3.74 [859=param(842,2),[2],
% 3.32/3.74 greatest_lower_bound(X10,inverse(greatest_lower_bound(X11,inverse(X10)))) = X10].
% 3.32/3.74 [871=param(859,15),[],
% 3.32/3.74 greatest_lower_bound(X10,inverse(greatest_lower_bound(inverse(X10),X11))) = X10].
% 3.32/3.74 [888=param(34,871),[14],
% 3.32/3.74 least_upper_bound(X10,inverse(greatest_lower_bound(inverse(X10),X11))) = inverse(greatest_lower_bound(inverse(X10),X11))].
% 3.32/3.74 [891=param(53,871),[],
% 3.32/3.74 greatest_lower_bound(X11,greatest_lower_bound(X10,inverse(greatest_lower_bound(inverse(X11),X12)))) = greatest_lower_bound(X10,X11)].
% 3.32/3.74 [1244=param(891,402),[2,15],
% 3.32/3.74 greatest_lower_bound(X10,inverse(greatest_lower_bound(identity,X10))) = greatest_lower_bound(X10,identity)].
% 3.32/3.74 [1245=param(13,1244),[13],
% 3.32/3.74 greatest_lower_bound(X10,greatest_lower_bound(inverse(greatest_lower_bound(identity,X10)),X11)) = greatest_lower_bound(X10,greatest_lower_bound(identity,X11))].
% 3.32/3.74 [1255=param(1245,53),[],
% 3.32/3.74 greatest_lower_bound(inverse(greatest_lower_bound(identity,X10)),greatest_lower_bound(X10,X11)) = greatest_lower_bound(X10,greatest_lower_bound(identity,X11))].
% 3.32/3.74 [1256=param(1255,15),[],
% 3.32/3.74 greatest_lower_bound(inverse(greatest_lower_bound(X10,identity)),greatest_lower_bound(X10,X11)) = greatest_lower_bound(X10,greatest_lower_bound(identity,X11))].
% 3.32/3.74 [1263=param(1256,8),[15,105],
% 3.32/3.74 greatest_lower_bound(X10,inverse(greatest_lower_bound(X10,identity))) = greatest_lower_bound(X10,identity)].
% 3.32/3.74 [1267=param(891,1263),[15,15],
% 3.32/3.74 greatest_lower_bound(X10,greatest_lower_bound(identity,inverse(X10))) = greatest_lower_bound(X10,inverse(X10))].
% 3.32/3.74 [1282=param(91,1267),[],
% 3.32/3.74 least_upper_bound(identity,greatest_lower_bound(X10,greatest_lower_bound(X11,inverse(X11)))) = identity].
% 3.32/3.74 [1342=param(1282,56),[],
% 3.32/3.74 least_upper_bound(identity,greatest_lower_bound(X10,inverse(least_upper_bound(X11,X10)))) = identity].
% 3.32/3.74 [1347=param(1282,208),[],
% 3.32/3.74 least_upper_bound(identity,greatest_lower_bound(inverse(X10),greatest_lower_bound(X10,X11))) = identity].
% 3.32/3.74 [1361=param(832,1347),[3,15,1347,3],
% 3.32/3.74 greatest_lower_bound(identity,inverse(greatest_lower_bound(inverse(X10),greatest_lower_bound(X10,X11)))) = identity].
% 3.32/3.74 [1373=param(1342,792),[14],
% 3.32/3.74 least_upper_bound(identity,inverse(least_upper_bound(X10,inverse(X10)))) = identity].
% 3.32/3.74 [1378=param(42,1373),[15],
% 3.32/3.74 greatest_lower_bound(identity,inverse(least_upper_bound(X10,inverse(X10)))) = inverse(least_upper_bound(X10,inverse(X10)))].
% 3.32/3.74 [1388=param(772,1373),[3,15,1373,3],
% 3.32/3.74 greatest_lower_bound(identity,least_upper_bound(X10,inverse(X10))) = identity].
% 3.32/3.74 [1396=param(139,1388),[43,14],
% 3.32/3.74 least_upper_bound(X10,least_upper_bound(identity,inverse(X10))) = least_upper_bound(X10,inverse(X10))].
% 3.32/3.74 [1408=param(98,1396),[],
% 3.32/3.74 greatest_lower_bound(identity,least_upper_bound(X10,least_upper_bound(X11,inverse(X11)))) = identity].
% 3.32/3.74 [1444=param(1408,38),[],
% 3.32/3.74 greatest_lower_bound(identity,least_upper_bound(X10,inverse(greatest_lower_bound(X10,X11)))) = identity].
% 3.32/3.74 [1495=param(13,1444),[],
% 3.32/3.74 greatest_lower_bound(identity,greatest_lower_bound(least_upper_bound(X11,inverse(greatest_lower_bound(X11,X12))),X10)) = greatest_lower_bound(identity,X10)].
% 3.32/3.74 [1502=param(1255,1444),[3,1495],
% 3.32/3.74 greatest_lower_bound(least_upper_bound(X11,inverse(greatest_lower_bound(X11,X12))),greatest_lower_bound(identity,X10)) = greatest_lower_bound(identity,X10)].
% 3.32/3.74 [1692=param(705,1378),[],
% 3.32/3.74 least_upper_bound(inverse(greatest_lower_bound(X10,identity)),inverse(least_upper_bound(X11,inverse(X11)))) = inverse(greatest_lower_bound(X10,identity))].
% 3.32/3.74 [1732=param(208,1361),[],
% 3.32/3.74 greatest_lower_bound(X10,identity) = greatest_lower_bound(inverse(greatest_lower_bound(inverse(X11),greatest_lower_bound(X11,X12))),greatest_lower_bound(identity,X10))].
% 3.32/3.74 [2983=param(416,14),[],
% 3.32/3.74 least_upper_bound(inverse(greatest_lower_bound(X10,identity)),least_upper_bound(identity,X11)) = least_upper_bound(inverse(greatest_lower_bound(X10,identity)),X11)].
% 3.32/3.74 [2987=param(2983,15),[],
% 3.32/3.74 least_upper_bound(inverse(greatest_lower_bound(identity,X10)),least_upper_bound(identity,X11)) = least_upper_bound(inverse(greatest_lower_bound(X10,identity)),X11)].
% 3.32/3.74 [3049=param(423,888),[15],
% 3.32/3.74 greatest_lower_bound(least_upper_bound(X10,identity),inverse(greatest_lower_bound(identity,inverse(X10)))) = least_upper_bound(X10,identity)].
% 3.32/3.74 [3052=param(842,3049),[2,15,52,15,457,816,2],
% 3.32/3.74 greatest_lower_bound(identity,inverse(X10)) = inverse(least_upper_bound(X10,identity))].
% 3.32/3.74 [3059=demod(402),[3052,2],
% 3.32/3.74 greatest_lower_bound(least_upper_bound(X10,identity),inverse(greatest_lower_bound(X10,identity))) = identity].
% 3.32/3.74 [3080=param(3052,2),[14],
% 3.32/3.74 greatest_lower_bound(identity,X10) = inverse(least_upper_bound(identity,inverse(X10)))].
% 3.32/3.74 [3087=demod(370),[3080,2,7,33,67],
% 3.32/3.74 inverse(greatest_lower_bound(inverse(X10),X11)) = least_upper_bound(X10,inverse(X11))].
% 3.32/3.74 [3164=demod(2987),[3080,2,12,59],
% 3.32/3.74 least_upper_bound(inverse(greatest_lower_bound(X10,identity)),X11) = least_upper_bound(inverse(X10),least_upper_bound(identity,X11))].
% 3.32/3.74 [3165=demod(1692),[3164,1373,14],
% 3.32/3.74 inverse(greatest_lower_bound(X10,identity)) = least_upper_bound(identity,inverse(X10))].
% 3.32/3.74 [3166=demod(3059),[3165],
% 3.32/3.74 greatest_lower_bound(least_upper_bound(X10,identity),least_upper_bound(identity,inverse(X10))) = identity].
% 3.32/3.74 [3196=demod(1732),[3087,3080],
% 3.32/3.74 greatest_lower_bound(X10,identity) = greatest_lower_bound(least_upper_bound(X11,inverse(greatest_lower_bound(X11,X12))),inverse(least_upper_bound(identity,inverse(X10))))].
% 3.32/3.74 [3202=demod(1502),[3080,3080],
% 3.32/3.74 greatest_lower_bound(least_upper_bound(X10,inverse(greatest_lower_bound(X10,X11))),inverse(least_upper_bound(identity,inverse(X12)))) = inverse(least_upper_bound(identity,inverse(X12)))].
% 3.32/3.74 [3203=demod(3196),[3202],
% 3.32/3.74 greatest_lower_bound(X10,identity) = inverse(least_upper_bound(identity,inverse(X10)))].
% 3.32/3.74 [3562=param(20,3203),[2,3166,19],
% 3.32/3.74 thmtrue = thmfalse].
% 3.32/3.74 % SZS output end CNFRefutation
% 3.32/3.74 Space: 18400 KB
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