TSTP Solution File: GRP568-1 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : dedam
% Command  : fiesta-wrapper %s

% Computer : n015.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 09:14:35 EDT 2022

% Result   : Unsatisfiable 0.70s 1.11s
% Output   : CNFRefutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13  % Command  : fiesta-wrapper %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun 13 21:19:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.70/1.11  Theorem Proved.
% 0.70/1.11  % SZS status Unsatisfiable
% 0.70/1.11  % SZS output start CNFRefutation
% 0.70/1.11  [1=axiom,[],
% 0.70/1.11  			double_divide(X10,inverse(X10)) 	= identity].
% 0.70/1.11  [2=axiom,[],
% 0.70/1.11  			double_divide(X10,identity) 	= inverse(X10)].
% 0.70/1.11  [3=axiom,[2],
% 0.70/1.11  			inverse(double_divide(X11,X10)) 	= multiply(X10,X11)].
% 0.70/1.11  [4=axiom,[2],
% 0.70/1.11  			double_divide(double_divide(X10,double_divide(double_divide(X11,double_divide(X10,X12)),double_divide(identity,X12))),inverse(identity)) 	= X11].
% 0.70/1.11  [5=axiom,[],
% 0.70/1.11  			thtop(X10,X10) 	= thmfalse].
% 0.70/1.11  [6=axiom,[],
% 0.70/1.11  			thtop(multiply(a,b),multiply(b,a)) 	= thmtrue].
% 0.70/1.11  [9=param(3,2),[],
% 0.70/1.11  			multiply(identity,X10) 	= inverse(inverse(X10))].
% 0.70/1.11  [11=param(4,1),[2,3],
% 0.70/1.11  			double_divide(double_divide(X10,multiply(double_divide(X10,inverse(identity)),X11)),inverse(identity)) 	= X11].
% 0.70/1.11  [12=param(4,2),[2],
% 0.70/1.11  			double_divide(double_divide(X10,double_divide(double_divide(X11,inverse(X10)),inverse(identity))),inverse(identity)) 	= X11].
% 0.70/1.11  [14=param(11,1),[9],
% 0.70/1.11  			double_divide(double_divide(identity,inverse(inverse(X10))),inverse(identity)) 	= X10].
% 0.70/1.11  [20=param(12,1),[1,2],
% 0.70/1.11  			double_divide(inverse(X10),inverse(identity)) 	= X10].
% 0.70/1.11  [22=param(12,14),[],
% 0.70/1.11  			double_divide(double_divide(inverse(X10),X10),inverse(identity)) 	= identity].
% 0.70/1.11  [23=param(12,14),[],
% 0.70/1.11  			double_divide(double_divide(identity,double_divide(X10,inverse(identity))),inverse(identity)) 	= double_divide(identity,inverse(inverse(X10)))].
% 0.70/1.11  [24=param(20,3),[],
% 0.70/1.11  			double_divide(multiply(X10,X11),inverse(identity)) 	= double_divide(X11,X10)].
% 0.70/1.11  [25=param(3,20),[],
% 0.70/1.11  			multiply(inverse(identity),inverse(X10)) 	= inverse(X10)].
% 0.70/1.11  [26=param(4,20),[1,2,3],
% 0.70/1.11  			double_divide(double_divide(inverse(X10),multiply(X10,X11)),inverse(identity)) 	= X11].
% 0.70/1.11  [27=param(12,20),[23],
% 0.70/1.11  			double_divide(identity,inverse(inverse(X10))) 	= inverse(X10)].
% 0.70/1.11  [28=demod(23),[27],
% 0.70/1.11  			double_divide(double_divide(identity,double_divide(X10,inverse(identity))),inverse(identity)) 	= inverse(X10)].
% 0.70/1.11  [31=param(4,27),[27],
% 0.70/1.11  			double_divide(double_divide(identity,double_divide(double_divide(X10,inverse(X11)),inverse(X11))),inverse(identity)) 	= X10].
% 0.70/1.11  [37=param(4,24),[1,2,3],
% 0.70/1.11  			double_divide(double_divide(multiply(X10,X11),multiply(double_divide(X11,X10),X12)),inverse(identity)) 	= X12].
% 0.70/1.11  [38=param(22,2),[20],
% 0.70/1.11  			inverse(identity) 	= identity].
% 0.70/1.11  [39=demod(37),[38,2,3],
% 0.70/1.11  			multiply(multiply(double_divide(X10,X11),X12),multiply(X11,X10)) 	= X12].
% 0.70/1.11  [44=demod(31),[38,2,3],
% 0.70/1.11  			multiply(double_divide(double_divide(X10,inverse(X11)),inverse(X11)),identity) 	= X10].
% 0.70/1.11  [45=demod(28),[38,2,38,2,3],
% 0.70/1.11  			multiply(inverse(X10),identity) 	= inverse(X10)].
% 0.70/1.11  [46=demod(26),[38,2,3],
% 0.70/1.11  			multiply(multiply(X10,X11),inverse(X10)) 	= X11].
% 0.70/1.11  [47=demod(25),[38,9],
% 0.70/1.11  			inverse(inverse(inverse(X10))) 	= inverse(X10)].
% 0.70/1.11  [48=demod(24),[38,2],
% 0.70/1.11  			double_divide(X11,X10) 	= inverse(multiply(X10,X11))].
% 0.70/1.11  [51=demod(39),[48],
% 0.70/1.11  			multiply(multiply(inverse(multiply(X10,X11)),X12),multiply(X10,X11)) 	= X12].
% 0.70/1.11  [55=demod(44),[48,48,45],
% 0.70/1.11  			inverse(multiply(inverse(X10),inverse(multiply(inverse(X10),X11)))) 	= X11].
% 0.70/1.11  [58=demod(20),[38,48,9,47],
% 0.70/1.11  			inverse(inverse(X10)) 	= X10].
% 0.70/1.11  [59=demod(9),[58],
% 0.70/1.11  			multiply(identity,X10) 	= X10].
% 0.70/1.11  [65=param(46,46),[],
% 0.70/1.11  			multiply(X10,inverse(multiply(X11,X10))) 	= inverse(X11)].
% 0.70/1.11  [66=param(46,65),[],
% 0.70/1.11  			multiply(inverse(X10),inverse(X11)) 	= inverse(multiply(X10,X11))].
% 0.70/1.11  [67=demod(55),[66,58],
% 0.70/1.11  			multiply(X10,multiply(inverse(X10),X11)) 	= X11].
% 0.70/1.11  [72=param(51,67),[58],
% 0.70/1.11  			multiply(X10,multiply(X11,X12)) 	= multiply(multiply(X11,X12),X10)].
% 0.70/1.11  [81=param(72,59),[59],
% 0.70/1.11  			multiply(X10,X11) 	= multiply(X11,X10)].
% 0.70/1.11  [84=param(6,81),[5],
% 0.70/1.11  			thmtrue 	= thmfalse].
% 0.70/1.11  % SZS output end CNFRefutation
% 0.70/1.11  Space:     43 KB 
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