TSTP Solution File: GRP179-1 by Fiesta---2
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%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP179-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n028.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 09:13:07 EDT 2022
% Result : Unsatisfiable 3.32s 3.76s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP179-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : fiesta-wrapper %s
% 0.12/0.33 % Computer : n028.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 09:59:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.32/3.76 Theorem Proved.
% 3.32/3.76 % SZS status Unsatisfiable
% 3.32/3.76 % SZS output start CNFRefutation
% 3.32/3.76 [1=axiom,[],
% 3.32/3.76 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))].
% 3.32/3.76 [2=axiom,[],
% 3.32/3.76 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))].
% 3.32/3.76 [4=axiom,[],
% 3.32/3.76 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))].
% 3.32/3.76 [5=axiom,[],
% 3.32/3.76 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10].
% 3.32/3.76 [6=axiom,[],
% 3.32/3.76 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10].
% 3.32/3.76 [9=axiom,[],
% 3.32/3.76 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))].
% 3.32/3.76 [10=axiom,[],
% 3.32/3.76 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))].
% 3.32/3.76 [11=axiom,[],
% 3.32/3.76 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)].
% 3.32/3.76 [12=axiom,[],
% 3.32/3.76 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)].
% 3.32/3.76 [13=axiom,[],
% 3.32/3.76 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 3.32/3.77 [14=axiom,[],
% 3.32/3.77 multiply(inverse(X10),X10) = identity].
% 3.32/3.77 [15=axiom,[],
% 3.32/3.77 multiply(identity,X10) = X10].
% 3.32/3.77 [16=axiom,[],
% 3.32/3.77 thtop(X10,X10) = thmfalse].
% 3.32/3.77 [17=axiom,[11,12],
% 3.32/3.77 thtop(inverse(least_upper_bound(b,a)),greatest_lower_bound(inverse(b),inverse(a))) = thmtrue].
% 3.32/3.77 [18=param(6,12),[],
% 3.32/3.77 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10].
% 3.32/3.77 [21=param(5,11),[],
% 3.32/3.77 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10].
% 3.32/3.77 [22=param(4,14),[],
% 3.32/3.77 least_upper_bound(multiply(inverse(least_upper_bound(X10,X11)),X10),multiply(inverse(least_upper_bound(X10,X11)),X11)) = identity].
% 3.32/3.77 [38=param(6,10),[],
% 3.32/3.77 least_upper_bound(greatest_lower_bound(X10,X11),greatest_lower_bound(X10,greatest_lower_bound(X11,X12))) = greatest_lower_bound(X10,X11)].
% 3.32/3.77 [53=param(13,14),[15],
% 3.32/3.77 multiply(inverse(X11),multiply(X11,X10)) = X10].
% 3.32/3.77 [55=param(53,14),[],
% 3.32/3.77 multiply(inverse(inverse(X10)),identity) = X10].
% 3.32/3.77 [57=param(53,53),[],
% 3.32/3.77 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)].
% 3.32/3.77 [58=demod(55),[57],
% 3.32/3.77 multiply(X10,identity) = X10].
% 3.32/3.77 [59=param(58,14),[],
% 3.32/3.77 inverse(identity) = identity].
% 3.32/3.77 [65=param(57,14),[],
% 3.32/3.77 multiply(X10,inverse(X10)) = identity].
% 3.32/3.77 [67=param(57,58),[58],
% 3.32/3.77 inverse(inverse(X10)) = X10].
% 3.32/3.77 [71=param(22,58),[],
% 3.32/3.77 least_upper_bound(inverse(least_upper_bound(identity,X10)),multiply(inverse(least_upper_bound(identity,X10)),X10)) = identity].
% 3.32/3.77 [75=param(65,13),[],
% 3.32/3.77 multiply(X10,multiply(X11,inverse(multiply(X10,X11)))) = identity].
% 3.32/3.77 [129=param(53,75),[58],
% 3.32/3.77 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)].
% 3.32/3.77 [131=param(129,1),[],
% 3.32/3.77 multiply(X10,inverse(greatest_lower_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(greatest_lower_bound(X11,X12))].
% 3.32/3.77 [136=param(53,129),[],
% 3.32/3.77 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))].
% 3.32/3.77 [157=param(136,67),[],
% 3.32/3.77 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))].
% 3.32/3.77 [163=demod(71),[157,4,58,14,11],
% 3.32/3.77 least_upper_bound(inverse(least_upper_bound(identity,X10)),inverse(least_upper_bound(identity,inverse(X10)))) = identity].
% 3.32/3.77 [388=param(5,163),[12],
% 3.32/3.77 greatest_lower_bound(identity,inverse(least_upper_bound(identity,X10))) = inverse(least_upper_bound(identity,X10))].
% 3.32/3.77 [396=param(6,388),[],
% 3.32/3.77 least_upper_bound(identity,inverse(least_upper_bound(identity,X10))) = identity].
% 3.32/3.77 [403=param(38,388),[],
% 3.32/3.77 least_upper_bound(greatest_lower_bound(X10,identity),greatest_lower_bound(X10,inverse(least_upper_bound(identity,X11)))) = greatest_lower_bound(X10,identity)].
% 3.32/3.77 [414=param(396,11),[],
% 3.32/3.77 least_upper_bound(identity,inverse(least_upper_bound(X10,identity))) = identity].
% 3.32/3.77 [419=param(2,414),[15,15],
% 3.32/3.77 least_upper_bound(X10,multiply(inverse(least_upper_bound(X11,identity)),X10)) = X10].
% 3.32/3.77 [463=param(419,157),[4,58,11],
% 3.32/3.77 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),multiply(inverse(X10),X11)))) = X10].
% 3.32/3.77 [557=param(463,53),[],
% 3.32/3.77 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),X11))) = X10].
% 3.32/3.77 [562=param(557,11),[],
% 3.32/3.77 least_upper_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = X10].
% 3.32/3.77 [585=param(21,562),[12],
% 3.32/3.77 greatest_lower_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = inverse(least_upper_bound(X11,inverse(X10)))].
% 3.32/3.77 [591=param(562,67),[],
% 3.32/3.77 least_upper_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(X10)].
% 3.32/3.77 [599=param(591,6),[11],
% 3.32/3.77 least_upper_bound(inverse(X10),inverse(greatest_lower_bound(X10,X11))) = inverse(greatest_lower_bound(X10,X11))].
% 3.32/3.77 [602=param(591,18),[11],
% 3.32/3.77 least_upper_bound(inverse(X10),inverse(greatest_lower_bound(X11,X10))) = inverse(greatest_lower_bound(X11,X10))].
% 3.32/3.77 [624=param(602,59),[],
% 3.32/3.77 least_upper_bound(identity,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(X10,identity))].
% 3.32/3.77 [688=param(131,14),[],
% 3.32/3.77 multiply(X10,inverse(greatest_lower_bound(identity,multiply(X11,X10)))) = inverse(greatest_lower_bound(inverse(X10),X11))].
% 3.32/3.77 [2744=param(403,585),[11],
% 3.32/3.77 least_upper_bound(inverse(least_upper_bound(identity,inverse(X10))),greatest_lower_bound(X10,identity)) = greatest_lower_bound(X10,identity)].
% 3.32/3.77 [2748=param(557,2744),[9,599,624],
% 3.32/3.77 inverse(greatest_lower_bound(X10,identity)) = least_upper_bound(identity,inverse(X10))].
% 3.32/3.77 [2762=param(2748,12),[],
% 3.32/3.77 inverse(greatest_lower_bound(identity,X10)) = least_upper_bound(identity,inverse(X10))].
% 3.32/3.77 [2763=demod(688),[2762,4,58,129],
% 3.32/3.77 inverse(greatest_lower_bound(inverse(X10),X11)) = least_upper_bound(X10,inverse(X11))].
% 3.32/3.77 [3156=param(2763,67),[],
% 3.32/3.77 inverse(greatest_lower_bound(X10,X11)) = least_upper_bound(inverse(X10),inverse(X11))].
% 3.32/3.77 [3206=param(67,3156),[],
% 3.32/3.77 greatest_lower_bound(X10,X11) = inverse(least_upper_bound(inverse(X10),inverse(X11)))].
% 3.32/3.77 [3825=param(17,3206),[67,67,16],
% 3.32/3.77 thmtrue = thmfalse].
% 3.32/3.77 % SZS output end CNFRefutation
% 3.32/3.77 Space: 17445 KB
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