TSTP Solution File: GRP166-1 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP166-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n027.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 09:13:00 EDT 2022
% Result : Unsatisfiable 0.70s 1.08s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP166-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : fiesta-wrapper %s
% 0.12/0.33 % Computer : n027.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 07:58:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.08 Theorem Proved.
% 0.70/1.08 % SZS status Unsatisfiable
% 0.70/1.08 % SZS output start CNFRefutation
% 0.70/1.08 [1=axiom,[],
% 0.70/1.08 least_upper_bound(b,identity) = b].
% 0.70/1.08 [6=axiom,[],
% 0.70/1.08 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))].
% 0.70/1.08 [13=axiom,[],
% 0.70/1.08 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)].
% 0.70/1.08 [15=axiom,[],
% 0.70/1.08 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 0.70/1.08 [16=axiom,[],
% 0.70/1.08 multiply(inverse(X10),X10) = identity].
% 0.70/1.08 [17=axiom,[],
% 0.70/1.08 multiply(identity,X10) = X10].
% 0.70/1.08 [18=axiom,[],
% 0.70/1.08 thtop(X10,X10) = thmfalse].
% 0.70/1.08 [19=axiom,[],
% 0.70/1.08 thtop(least_upper_bound(a,multiply(a,b)),multiply(a,b)) = thmtrue].
% 0.70/1.08 [31=param(6,1),[],
% 0.70/1.08 least_upper_bound(multiply(X10,b),multiply(X10,identity)) = multiply(X10,b)].
% 0.70/1.08 [73=param(15,16),[17],
% 0.70/1.08 multiply(inverse(X11),multiply(X11,X10)) = X10].
% 0.70/1.08 [83=param(73,16),[],
% 0.70/1.08 multiply(inverse(inverse(X10)),identity) = X10].
% 0.70/1.08 [85=param(73,73),[],
% 0.70/1.08 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)].
% 0.70/1.08 [86=demod(83),[85],
% 0.70/1.08 multiply(X10,identity) = X10].
% 0.70/1.08 [91=demod(31),[86,13],
% 0.70/1.08 least_upper_bound(X10,multiply(X10,b)) = multiply(X10,b)].
% 0.70/1.08 [381=param(19,91),[18],
% 0.70/1.08 thmtrue = thmfalse].
% 0.70/1.08 % SZS output end CNFRefutation
% 0.70/1.08 Space: 277 KB
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