TSTP Solution File: GRP190-1 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : GRP190-1 : 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 09:13:15 EDT 2022

% Result   : Unsatisfiable 0.77s 1.14s
% Output   : CNFRefutation 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP190-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % 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 : Mon Jun 13 13:09:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.77/1.14  Theorem Proved.
% 0.77/1.14  % SZS status Unsatisfiable
% 0.77/1.14  % SZS output start CNFRefutation
% 0.77/1.14  [1=axiom,[],
% 0.77/1.14  			least_upper_bound(a,b) 	= a].
% 0.77/1.14  [2=axiom,[],
% 0.77/1.14  			multiply(greatest_lower_bound(X10,X11),X12) 	= greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))].
% 0.77/1.14  [4=axiom,[],
% 0.77/1.14  			multiply(X10,greatest_lower_bound(X11,X12)) 	= greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))].
% 0.77/1.14  [6=axiom,[],
% 0.77/1.14  			greatest_lower_bound(X10,least_upper_bound(X10,X11)) 	= X10].
% 0.77/1.14  [7=axiom,[],
% 0.77/1.14  			least_upper_bound(X10,greatest_lower_bound(X10,X11)) 	= X10].
% 0.77/1.14  [12=axiom,[],
% 0.77/1.14  			least_upper_bound(X10,X11) 	= least_upper_bound(X11,X10)].
% 0.77/1.14  [13=demod(1),[12],
% 0.77/1.14  			least_upper_bound(b,a) 	= a].
% 0.77/1.14  [14=axiom,[],
% 0.77/1.14  			greatest_lower_bound(X10,X11) 	= greatest_lower_bound(X11,X10)].
% 0.77/1.14  [15=axiom,[],
% 0.77/1.14  			multiply(multiply(X10,X11),X12) 	= multiply(X10,multiply(X11,X12))].
% 0.77/1.14  [16=axiom,[],
% 0.77/1.14  			multiply(inverse(X10),X10) 	= identity].
% 0.77/1.14  [17=axiom,[],
% 0.77/1.14  			multiply(identity,X10) 	= X10].
% 0.77/1.14  [18=axiom,[],
% 0.77/1.14  			thtop(X10,X10) 	= thmfalse].
% 0.77/1.14  [19=axiom,[12],
% 0.77/1.14  			thtop(least_upper_bound(inverse(b),inverse(a)),inverse(b)) 	= thmtrue].
% 0.77/1.14  [21=param(6,13),[],
% 0.77/1.14  			greatest_lower_bound(b,a) 	= b].
% 0.77/1.14  [23=param(2,21),[],
% 0.77/1.14  			greatest_lower_bound(multiply(b,X10),multiply(a,X10)) 	= multiply(b,X10)].
% 0.77/1.14  [63=param(15,16),[17],
% 0.77/1.14  			multiply(inverse(X11),multiply(X11,X10)) 	= X10].
% 0.77/1.14  [68=param(63,16),[],
% 0.77/1.14  			multiply(inverse(inverse(X10)),identity) 	= X10].
% 0.77/1.14  [70=param(63,63),[],
% 0.77/1.14  			multiply(inverse(inverse(X10)),X11) 	= multiply(X10,X11)].
% 0.77/1.14  [71=demod(68),[70],
% 0.77/1.14  			multiply(X10,identity) 	= X10].
% 0.77/1.14  [79=param(70,16),[],
% 0.77/1.14  			multiply(X10,inverse(X10)) 	= identity].
% 0.77/1.14  [88=param(23,79),[79],
% 0.77/1.14  			greatest_lower_bound(identity,multiply(a,inverse(b))) 	= identity].
% 0.77/1.14  [91=param(4,88),[71,71],
% 0.77/1.14  			greatest_lower_bound(X10,multiply(X10,multiply(a,inverse(b)))) 	= X10].
% 0.77/1.14  [561=param(91,63),[14],
% 0.77/1.14  			greatest_lower_bound(inverse(b),inverse(a)) 	= inverse(a)].
% 0.77/1.14  [564=param(7,561),[],
% 0.77/1.14  			least_upper_bound(inverse(b),inverse(a)) 	= inverse(b)].
% 0.77/1.14  [573=param(19,564),[18],
% 0.77/1.14  			thmtrue 	= thmfalse].
% 0.77/1.14  % SZS output end CNFRefutation
% 0.77/1.14  Space:    550 KB 
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