TSTP Solution File: GRP171-1 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : GRP171-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : dedam
% Command  : fiesta-wrapper %s

% Computer : n003.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 09:13:04 EDT 2022

% Result   : Unsatisfiable 0.71s 1.12s
% Output   : CNFRefutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP171-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13  % Command  : fiesta-wrapper %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 22:29:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.71/1.12  Theorem Proved.
% 0.71/1.12  % SZS status Unsatisfiable
% 0.71/1.12  % SZS output start CNFRefutation
% 0.71/1.12  [1=axiom,[],
% 0.71/1.12  			least_upper_bound(identity,b) 	= b].
% 0.71/1.12  [2=axiom,[],
% 0.71/1.12  			least_upper_bound(identity,a) 	= a].
% 0.71/1.12  [6=axiom,[],
% 0.71/1.12  			multiply(X10,least_upper_bound(X11,X12)) 	= least_upper_bound(multiply(X10,X11),multiply(X10,X12))].
% 0.71/1.12  [7=axiom,[],
% 0.71/1.12  			greatest_lower_bound(X10,least_upper_bound(X10,X11)) 	= X10].
% 0.71/1.12  [8=axiom,[],
% 0.71/1.12  			least_upper_bound(X10,greatest_lower_bound(X10,X11)) 	= X10].
% 0.71/1.12  [11=axiom,[],
% 0.71/1.12  			least_upper_bound(least_upper_bound(X10,X11),X12) 	= least_upper_bound(X10,least_upper_bound(X11,X12))].
% 0.71/1.12  [13=axiom,[],
% 0.71/1.12  			least_upper_bound(X10,X11) 	= least_upper_bound(X11,X10)].
% 0.71/1.12  [14=demod(1),[13],
% 0.71/1.12  			least_upper_bound(b,identity) 	= b].
% 0.71/1.12  [15=demod(2),[13],
% 0.71/1.12  			least_upper_bound(a,identity) 	= a].
% 0.71/1.12  [16=axiom,[],
% 0.71/1.12  			greatest_lower_bound(X10,X11) 	= greatest_lower_bound(X11,X10)].
% 0.71/1.12  [17=axiom,[],
% 0.71/1.12  			multiply(multiply(X10,X11),X12) 	= multiply(X10,multiply(X11,X12))].
% 0.71/1.12  [18=axiom,[],
% 0.71/1.12  			multiply(inverse(X10),X10) 	= identity].
% 0.71/1.12  [19=axiom,[],
% 0.71/1.12  			multiply(identity,X10) 	= X10].
% 0.71/1.12  [20=axiom,[],
% 0.71/1.12  			thtop(X10,X10) 	= thmfalse].
% 0.71/1.12  [21=axiom,[],
% 0.71/1.12  			thtop(least_upper_bound(identity,multiply(a,b)),multiply(a,b)) 	= thmtrue].
% 0.71/1.12  [25=param(8,16),[],
% 0.71/1.12  			least_upper_bound(X10,greatest_lower_bound(X11,X10)) 	= X10].
% 0.71/1.12  [26=param(6,14),[],
% 0.71/1.12  			least_upper_bound(multiply(X10,b),multiply(X10,identity)) 	= multiply(X10,b)].
% 0.71/1.12  [30=param(7,13),[],
% 0.71/1.12  			greatest_lower_bound(X10,least_upper_bound(X11,X10)) 	= X10].
% 0.71/1.12  [42=param(30,11),[],
% 0.71/1.12  			greatest_lower_bound(X10,least_upper_bound(X11,least_upper_bound(X12,X10))) 	= X10].
% 0.71/1.12  [65=param(17,18),[19],
% 0.71/1.12  			multiply(inverse(X11),multiply(X11,X10)) 	= X10].
% 0.71/1.12  [71=param(65,18),[],
% 0.71/1.12  			multiply(inverse(inverse(X10)),identity) 	= X10].
% 0.71/1.12  [73=param(65,65),[],
% 0.71/1.12  			multiply(inverse(inverse(X10)),X11) 	= multiply(X10,X11)].
% 0.71/1.12  [74=demod(71),[73],
% 0.71/1.12  			multiply(X10,identity) 	= X10].
% 0.71/1.12  [78=demod(26),[74,13],
% 0.71/1.12  			least_upper_bound(X10,multiply(X10,b)) 	= multiply(X10,b)].
% 0.71/1.12  [279=param(42,15),[],
% 0.71/1.12  			greatest_lower_bound(identity,least_upper_bound(X10,a)) 	= identity].
% 0.71/1.12  [303=param(279,13),[],
% 0.71/1.12  			greatest_lower_bound(identity,least_upper_bound(a,X10)) 	= identity].
% 0.71/1.12  [310=param(303,78),[],
% 0.71/1.12  			greatest_lower_bound(identity,multiply(a,b)) 	= identity].
% 0.71/1.12  [316=param(25,310),[13],
% 0.71/1.12  			least_upper_bound(identity,multiply(a,b)) 	= multiply(a,b)].
% 0.71/1.12  [426=param(21,316),[20],
% 0.71/1.12  			thmtrue 	= thmfalse].
% 0.71/1.12  % SZS output end CNFRefutation
% 0.71/1.12  Space:    298 KB 
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