TSTP Solution File: GRP501-1 by Waldmeister---710

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Waldmeister---710
% Problem  : GRP501-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : woody %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 12:26:41 EDT 2022

% Result   : Unsatisfiable 0.63s 1.01s
% Output   : CNFRefutation 0.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP501-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command  : woody %s
% 0.13/0.34  % Computer : n028.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 00:21:38 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.60/0.99  ********************************************************************************
% 0.60/0.99  *                             W A L D M E I S T E R           \|  \ /      \|/ *
% 0.60/0.99  *                                                              |/  |    \/  |  *
% 0.60/0.99  *              (C) 1994-2010  A. Buch and Th. Hillenbrand,      \ /      \ /   *
% 0.60/0.99  *                             A. Jaeger and B. Loechner          |        |    *
% 0.60/0.99  *                             <waldmeister@informatik.uni-kl.de>          |    *
% 0.60/0.99  ********************************************************************************
% 0.60/0.99  
% 0.60/0.99  
% 0.60/0.99  Goals:
% 0.60/0.99  ------
% 0.60/0.99  
% 0.60/0.99  (   1)  multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.60/0.99  
% 0.60/0.99  Detected structure: Orkus
% 0.60/0.99  ********************************************************************************
% 0.60/0.99  ****************************** COMPLETION - PROOF ******************************
% 0.60/0.99  ********************************************************************************
% 0.60/0.99  
% 0.63/1.01  joined goal:             1  multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.63/1.01  goal joined
% 0.63/1.01  % SZS status Unsatisfiable
% 0.63/1.01  #START OF PROOF
% 0.63/1.01  % SZS output start CNFRefutation
% 0.63/1.01  cnf('0.1.0.0',axiom,
% 0.63/1.01      ( X1 = double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X1))),double_divide(X4,double_divide(X3,X4))))) ),
% 0.63/1.01      file('/tmp/WALDMEISTER_14499_n028')).
% 0.63/1.01  cnf('0.1.1.0',plain,
% 0.63/1.01      ( X1 = double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X1))),double_divide(X4,double_divide(X3,X4))))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.1.0.0']),
% 0.63/1.01      [weight('<0,0,0,[0,0,0,1]>')]).
% 0.63/1.01  cnf('0.1.2.0',plain,
% 0.63/1.01      ( double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X3))),double_divide(X4,double_divide(X2,X4))))) = X3 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_1]).
% 0.63/1.01  cnf('0.2.0.0',axiom,
% 0.63/1.01      ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.63/1.01      file('/tmp/WALDMEISTER_14499_n028')).
% 0.63/1.01  cnf('0.2.1.0',plain,
% 0.63/1.01      ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.2.0.0']),
% 0.63/1.01      [weight('<1,0,0,[0,0,0,2]>')]).
% 0.63/1.01  cnf('0.2.2.0',plain,
% 0.63/1.01      ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.63/1.01      [u,rule_2]).
% 0.63/1.01  cnf('0.3.0.0',plain,
% 0.63/1.01      ( double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X3))),double_divide(X4,double_divide(X2,X4))))) = X3 ),
% 0.63/1.01      inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.63/1.01  cnf('0.3.0.1',plain,
% 0.63/1.01      ( double_divide(inverse(X1),multiply(double_divide(X4,double_divide(X2,X4)),inverse(double_divide(X1,double_divide(X2,X3))))) = X3 ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2','L')]).
% 0.63/1.01  cnf('0.3.0.2',plain,
% 0.63/1.01      ( double_divide(inverse(X1),multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,X3),X1))) = X3 ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.3.0.1','0.2.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2.2','L')]).
% 0.63/1.01  cnf('0.3.1.0',plain,
% 0.63/1.01      ( double_divide(inverse(X1),multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,X3),X1))) = X3 ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.3.0.2']),
% 0.63/1.01      [weight('<239,1,2,[0,0,0,0]>')]).
% 0.63/1.01  cnf('0.3.2.0',plain,
% 0.63/1.01      ( double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X1))) = X4 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.63/1.01      [u,rule_3]).
% 0.63/1.01  cnf('0.4.0.0',plain,
% 0.63/1.01      ( multiply(multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)),inverse(X4)) = inverse(X3) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.4.1.0',plain,
% 0.63/1.01      ( multiply(multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)),inverse(X4)) = inverse(X3) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.4.0.0']),
% 0.63/1.01      [weight('<254,3,2,[0,0,0,1]>')]).
% 0.63/1.01  cnf('0.4.2.0',plain,
% 0.63/1.01      ( multiply(multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)),inverse(X4)) = inverse(X3) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.63/1.01      [u,rule_4]).
% 0.63/1.01  cnf('0.5.0.0',plain,
% 0.63/1.01      ( X1 = double_divide(multiply(X2,X3),multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X1),double_divide(X3,X2)))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.5.1.0',plain,
% 0.63/1.01      ( X1 = double_divide(multiply(X2,X3),multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X1),double_divide(X3,X2)))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.5.0.0']),
% 0.63/1.01      [weight('<341,3,2,[1,0,0,1]>')]).
% 0.63/1.01  cnf('0.5.2.0',plain,
% 0.63/1.01      ( double_divide(multiply(X1,X2),multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,X5),double_divide(X2,X1)))) = X5 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_5]).
% 0.63/1.01  cnf('0.9.0.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)) = double_divide(inverse(X5),multiply(double_divide(X6,double_divide(inverse(X4),X6)),multiply(X3,X5))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2.2.1','L')]).
% 0.63/1.01  cnf('0.9.1.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)) = double_divide(inverse(X5),multiply(double_divide(X6,double_divide(inverse(X4),X6)),multiply(X3,X5))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.9.0.0']),
% 0.63/1.01      [weight('<624,3,3,[0,0,0,10]>')]).
% 0.63/1.01  cnf('0.9.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)) = double_divide(inverse(X5),multiply(double_divide(X6,double_divide(inverse(X4),X6)),multiply(X3,X5))) ),
% 0.63/1.01      inference(activate,[status(thm)],['0.9.1.0']),
% 0.63/1.01      [equation_1]).
% 0.63/1.01  cnf('0.9.2.1',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)) = double_divide(inverse(c3),multiply(double_divide(c3,double_divide(inverse(X4),c3)),multiply(X3,c3))) ),
% 0.63/1.01      inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.63/1.01  cnf('0.9.2.2',plain,
% 0.63/1.01      ( multiply(double_divide(c3,double_divide(c3,c3)),multiply(double_divide(c3,X4),X3)) = double_divide(inverse(X1),multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X4,X1))) ),
% 0.63/1.01      inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.63/1.01  cnf('0.10.0.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X4)),X3)) = X4 ),
% 0.63/1.01      inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.63/1.01      [pos('R','L')]).
% 0.63/1.01  cnf('0.10.1.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X4)),X3)) = X4 ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.10.0.0']),
% 0.63/1.01      [weight('<239,9,3,[1,1,0,0]>')]).
% 0.63/1.01  cnf('0.10.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X4)),X3)) = X4 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.63/1.01      [u,rule_9]).
% 0.63/1.01  cnf('0.12.0.0',plain,
% 0.63/1.01      ( double_divide(X1,X2) = double_divide(inverse(multiply(double_divide(X1,double_divide(inverse(X3),X4)),X3)),multiply(double_divide(X5,double_divide(X2,X5)),X4)) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.3.2.0','0.10.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2.2','L')]).
% 0.63/1.01  cnf('0.12.1.0',plain,
% 0.63/1.01      ( double_divide(X1,X2) = double_divide(inverse(multiply(double_divide(X1,double_divide(inverse(X3),X4)),X3)),multiply(double_divide(X5,double_divide(X2,X5)),X4)) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.12.0.0']),
% 0.63/1.01      [weight('<377,10,3,[0,0,0,9]>')]).
% 0.63/1.01  cnf('0.12.2.0',plain,
% 0.63/1.01      ( double_divide(inverse(multiply(double_divide(X1,double_divide(inverse(X2),X3)),X2)),multiply(double_divide(X4,double_divide(X5,X4)),X3)) = double_divide(X1,X5) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_11]).
% 0.63/1.01  cnf('0.13.0.0',plain,
% 0.63/1.01      ( inverse(double_divide(X1,X2)) = multiply(multiply(double_divide(X3,double_divide(X2,X3)),X4),inverse(multiply(double_divide(X1,double_divide(inverse(X5),X4)),X5))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1.2','L')]).
% 0.63/1.01  cnf('0.13.0.1',plain,
% 0.63/1.01      ( multiply(X2,X1) = multiply(multiply(double_divide(X3,double_divide(X2,X3)),X4),inverse(multiply(double_divide(X1,double_divide(inverse(X5),X4)),X5))) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.13.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.01      [pos('L','L')]).
% 0.63/1.01  cnf('0.13.1.0',plain,
% 0.63/1.01      ( multiply(X2,X1) = multiply(multiply(double_divide(X3,double_divide(X2,X3)),X4),inverse(multiply(double_divide(X1,double_divide(inverse(X5),X4)),X5))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.13.0.1']),
% 0.63/1.01      [weight('<377,10,4,[0,0,0,7]>')]).
% 0.63/1.01  cnf('0.13.2.0',plain,
% 0.63/1.01      ( multiply(multiply(double_divide(X1,double_divide(X2,X1)),X3),inverse(multiply(double_divide(X4,double_divide(inverse(X5),X3)),X5))) = multiply(X2,X4) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_12]).
% 0.63/1.01  cnf('0.14.0.0',plain,
% 0.63/1.01      ( X1 = double_divide(multiply(X2,X3),double_divide(inverse(X4),multiply(double_divide(X5,double_divide(inverse(double_divide(X3,X2)),X5)),multiply(X1,X4)))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.5.2.0','0.9.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2','L')]).
% 0.63/1.01  cnf('0.14.0.1',plain,
% 0.63/1.01      ( X1 = double_divide(multiply(X2,X3),double_divide(inverse(X4),multiply(double_divide(X5,double_divide(multiply(X2,X3),X5)),multiply(X1,X4)))) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.14.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.2.2.1.2.1','L')]).
% 0.63/1.01  cnf('0.14.1.0',plain,
% 0.63/1.01      ( X1 = double_divide(multiply(X2,X3),double_divide(inverse(X4),multiply(double_divide(X5,double_divide(multiply(X2,X3),X5)),multiply(X1,X4)))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.14.0.1']),
% 0.63/1.01      [weight('<379,9,5,[0,0,0,4]>')]).
% 0.63/1.01  cnf('0.14.2.0',plain,
% 0.63/1.01      ( double_divide(multiply(X1,X2),double_divide(inverse(X3),multiply(double_divide(X4,double_divide(multiply(X1,X2),X4)),multiply(X5,X3)))) = X5 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_13]).
% 0.63/1.01  cnf('0.15.0.0',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(X2,X1)) = double_divide(multiply(X3,X4),double_divide(inverse(multiply(double_divide(X2,double_divide(inverse(X5),X6)),X5)),multiply(double_divide(X7,double_divide(multiply(X3,X4),X7)),X6))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.14.2.0','0.10.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2.2.2','L')]).
% 0.63/1.01  cnf('0.15.0.1',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(X2,X1)) = double_divide(multiply(X3,X4),double_divide(X2,multiply(X3,X4))) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.15.0.0','0.12.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.2','L')]).
% 0.63/1.01  cnf('0.15.1.0',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(X2,X1)) = double_divide(multiply(X3,X4),double_divide(X2,multiply(X3,X4))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.15.0.1']),
% 0.63/1.01      [weight('<224,14,10,[1,0,0,15]>')]).
% 0.63/1.01  cnf('0.15.2.0',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(X2,X1)) = double_divide(multiply(X3,X4),double_divide(X2,multiply(X3,X4))) ),
% 0.63/1.01      inference(activate,[status(thm)],['0.15.1.0']),
% 0.63/1.01      [equation_2]).
% 0.63/1.01  cnf('0.15.2.1',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(X2,X1)) = double_divide(multiply(c3,c3),double_divide(X2,multiply(c3,c3))) ),
% 0.63/1.01      inference(instr,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.63/1.01  cnf('0.15.2.2',plain,
% 0.63/1.01      ( double_divide(c3,double_divide(X3,c3)) = double_divide(multiply(X1,X2),double_divide(X3,multiply(X1,X2))) ),
% 0.63/1.01      inference(instl,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.63/1.01  cnf('0.16.0.0',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(inverse(X6),X3)),X6)))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.15.2.0','0.10.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.1','L')]).
% 0.63/1.01  cnf('0.16.0.1',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,X3)) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.16.0.0','0.10.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.2.2','L')]).
% 0.63/1.01  cnf('0.16.1.0',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,X3)) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.16.0.1']),
% 0.63/1.01      [weight('<120,15,10,[1,1,0,1]>')]).
% 0.63/1.01  cnf('0.16.2.0',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,X3)) ),
% 0.63/1.01      inference(activate,[status(thm)],['0.16.1.0']),
% 0.63/1.01      [equation_3]).
% 0.63/1.01  cnf('0.16.2.1',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(X2,X1)) = double_divide(c3,double_divide(X2,c3)) ),
% 0.63/1.01      inference(instr,[status(thm)],['0.16.2.0',theory(equality)])).
% 0.63/1.01  cnf('0.16.2.2',plain,
% 0.63/1.01      ( double_divide(c3,double_divide(X2,c3)) = double_divide(X1,double_divide(X2,X1)) ),
% 0.63/1.01      inference(instl,[status(thm)],['0.16.2.0',theory(equality)])).
% 0.63/1.01  cnf('0.17.0.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,X2),X2) = inverse(double_divide(X3,double_divide(X1,X3))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.2.2.0','0.16.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.17.0.1',plain,
% 0.63/1.01      ( multiply(double_divide(X1,X2),X2) = multiply(double_divide(X1,X3),X3) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.17.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.01      [pos('R','L')]).
% 0.63/1.01  cnf('0.17.1.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,X2),X2) = multiply(double_divide(X1,X3),X3) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.17.0.1']),
% 0.63/1.01      [weight('<120,16,2,[0,0,0,1]>')]).
% 0.63/1.01  cnf('0.17.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,X2),X2) = multiply(double_divide(X1,X3),X3) ),
% 0.63/1.01      inference(activate,[status(thm)],['0.17.1.0']),
% 0.63/1.01      [equation_4]).
% 0.63/1.01  cnf('0.17.2.1',plain,
% 0.63/1.01      ( multiply(double_divide(X1,X2),X2) = multiply(double_divide(X1,c3),c3) ),
% 0.63/1.01      inference(instr,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.63/1.01  cnf('0.17.2.2',plain,
% 0.63/1.01      ( multiply(double_divide(X1,c3),c3) = multiply(double_divide(X1,X2),X2) ),
% 0.63/1.01      inference(instl,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.63/1.01  cnf('0.20.0.0',plain,
% 0.63/1.01      ( X1 = double_divide(X2,double_divide(inverse(X3),multiply(double_divide(X4,double_divide(multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,double_divide(inverse(X7),X2)),X7)),X4)),multiply(X1,X3)))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.14.2.0','0.10.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.20.0.1',plain,
% 0.63/1.01      ( X1 = double_divide(X2,double_divide(inverse(X3),multiply(double_divide(X4,double_divide(X2,X4)),multiply(X1,X3)))) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.20.0.0','0.10.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.2.2.1.2.1','L')]).
% 0.63/1.01  cnf('0.20.1.0',plain,
% 0.63/1.01      ( X1 = double_divide(X2,double_divide(inverse(X3),multiply(double_divide(X4,double_divide(X2,X4)),multiply(X1,X3)))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.20.0.1']),
% 0.63/1.01      [weight('<239,14,10,[1,0,0,1]>')]).
% 0.63/1.01  cnf('0.20.2.0',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(inverse(X2),multiply(double_divide(X3,double_divide(X1,X3)),multiply(X4,X2)))) = X4 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_14]).
% 0.63/1.01  cnf('0.21.0.0',plain,
% 0.63/1.01      ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),multiply(double_divide(X3,double_divide(inverse(X4),X3)),X4)) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2.1','L')]).
% 0.63/1.01  cnf('0.21.1.0',plain,
% 0.63/1.01      ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),multiply(double_divide(X3,double_divide(inverse(X4),X3)),X4)) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.21.0.0']),
% 0.63/1.01      [weight('<239,16,10,[0,0,0,7]>')]).
% 0.63/1.01  cnf('0.21.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X3,double_divide(inverse(X4),X3)),X4)) = X2 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_15]).
% 0.63/1.01  cnf('0.22.0.0',plain,
% 0.63/1.01      ( X1 = double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X4))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.3.2.0','0.17.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2.2','L')]).
% 0.63/1.01  cnf('0.22.1.0',plain,
% 0.63/1.01      ( X1 = double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X4))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.22.0.0']),
% 0.63/1.01      [weight('<239,17,3,[0,0,0,9]>')]).
% 0.63/1.01  cnf('0.22.2.0',plain,
% 0.63/1.01      ( double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X4))) = X1 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_16]).
% 0.63/1.01  cnf('0.23.0.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(inverse(X2),multiply(double_divide(X3,X4),X4))),X2) = double_divide(X1,X3) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.22.2.0','0.12.2.0',theory(equality)]),
% 0.63/1.01      [pos('L','L')]).
% 0.63/1.01  cnf('0.23.1.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(inverse(X2),multiply(double_divide(X3,X4),X4))),X2) = double_divide(X1,X3) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.23.0.0']),
% 0.63/1.01      [weight('<207,22,12,[1,0,0,0]>')]).
% 0.63/1.01  cnf('0.23.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(inverse(X2),multiply(double_divide(X3,X4),X4))),X2) = double_divide(X1,X3) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.63/1.01      [u,rule_17]).
% 0.63/1.01  cnf('0.24.0.0',plain,
% 0.63/1.01      ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),double_divide(multiply(double_divide(X3,X4),X4),X3)) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.21.2.0','0.23.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2','L')]).
% 0.63/1.01  cnf('0.24.1.0',plain,
% 0.63/1.01      ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),double_divide(multiply(double_divide(X3,X4),X4),X3)) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.24.0.0']),
% 0.63/1.01      [weight('<209,23,21,[0,0,0,6]>')]).
% 0.63/1.01  cnf('0.24.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(X2,X1)),double_divide(multiply(double_divide(X3,X4),X4),X3)) = X2 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_18]).
% 0.63/1.01  cnf('0.25.0.0',plain,
% 0.63/1.01      ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),inverse(double_divide(multiply(double_divide(X3,X4),X4),X3))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.10.2.0','0.24.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2','L')]).
% 0.63/1.01  cnf('0.25.0.1',plain,
% 0.63/1.01      ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),multiply(X3,multiply(double_divide(X3,X4),X4))) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.25.0.0','0.2.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.2','L')]).
% 0.63/1.01  cnf('0.25.1.0',plain,
% 0.63/1.01      ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),multiply(X3,multiply(double_divide(X3,X4),X4))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.25.0.1']),
% 0.63/1.01      [weight('<209,24,10,[0,0,0,6]>')]).
% 0.63/1.01  cnf('0.25.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(X3,multiply(double_divide(X3,X4),X4))) = X2 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_19]).
% 0.63/1.01  cnf('0.26.0.0',plain,
% 0.63/1.01      ( X1 = double_divide(inverse(multiply(double_divide(double_divide(X2,X1),X3),X3)),X2) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.3.2.0','0.25.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2','L')]).
% 0.63/1.01  cnf('0.26.1.0',plain,
% 0.63/1.01      ( X1 = double_divide(inverse(multiply(double_divide(double_divide(X2,X1),X3),X3)),X2) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.26.0.0']),
% 0.63/1.01      [weight('<131,25,3,[0,0,0,3]>')]).
% 0.63/1.01  cnf('0.26.2.0',plain,
% 0.63/1.01      ( double_divide(inverse(multiply(double_divide(double_divide(X1,X2),X3),X3)),X1) = X2 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_20]).
% 0.63/1.01  cnf('0.27.0.0',plain,
% 0.63/1.01      ( X1 = double_divide(X2,double_divide(inverse(multiply(double_divide(X1,X3),X3)),X2)) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.20.2.0','0.25.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2.2','L')]).
% 0.63/1.01  cnf('0.27.1.0',plain,
% 0.63/1.01      ( X1 = double_divide(X2,double_divide(inverse(multiply(double_divide(X1,X3),X3)),X2)) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.27.0.0']),
% 0.63/1.01      [weight('<131,25,20,[0,0,0,5]>')]).
% 0.63/1.01  cnf('0.27.2.0',plain,
% 0.63/1.01      ( double_divide(X1,double_divide(inverse(multiply(double_divide(X2,X3),X3)),X1)) = X2 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_21]).
% 0.63/1.01  cnf('0.28.0.0',plain,
% 0.63/1.01      ( X1 = double_divide(double_divide(inverse(X2),multiply(double_divide(X3,double_divide(inverse(multiply(double_divide(X1,X4),X4)),X3)),multiply(X5,X2))),X5) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.27.2.0','0.20.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2','L')]).
% 0.63/1.01  cnf('0.28.0.1',plain,
% 0.63/1.01      ( X1 = double_divide(double_divide(inverse(X2),multiply(X1,multiply(X5,X2))),X5) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.28.0.0','0.27.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.1.2.1','L')]).
% 0.63/1.01  cnf('0.28.1.0',plain,
% 0.63/1.01      ( X1 = double_divide(double_divide(inverse(X2),multiply(X1,multiply(X5,X2))),X5) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.28.0.1']),
% 0.63/1.01      [weight('<131,27,20,[1,0,0,2]>')]).
% 0.63/1.01  cnf('0.28.2.0',plain,
% 0.63/1.01      ( double_divide(double_divide(inverse(X1),multiply(X2,multiply(X3,X1))),X3) = X2 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_22]).
% 0.63/1.01  cnf('0.29.0.0',plain,
% 0.63/1.01      ( multiply(X1,multiply(X2,X3)) = double_divide(inverse(multiply(X1,X2)),inverse(X3)) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.26.2.0','0.28.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1.1.1','L')]).
% 0.63/1.01  cnf('0.29.1.0',plain,
% 0.63/1.01      ( multiply(X1,multiply(X2,X3)) = double_divide(inverse(multiply(X1,X2)),inverse(X3)) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.29.0.0']),
% 0.63/1.01      [weight('<103,28,26,[0,0,0,3]>')]).
% 0.63/1.01  cnf('0.29.2.0',plain,
% 0.63/1.01      ( double_divide(inverse(multiply(X1,X2)),inverse(X3)) = multiply(X1,multiply(X2,X3)) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_23]).
% 0.63/1.01  cnf('0.31.0.0',plain,
% 0.63/1.01      ( multiply(double_divide(double_divide(inverse(X1),X2),X3),multiply(X3,X1)) = X2 ),
% 0.63/1.01      inference(cp,[status(thm)],['0.29.2.0','0.26.2.0',theory(equality)]),
% 0.63/1.01      [pos('L','L')]).
% 0.63/1.01  cnf('0.31.1.0',plain,
% 0.63/1.01      ( multiply(double_divide(double_divide(inverse(X1),X2),X3),multiply(X3,X1)) = X2 ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.31.0.0']),
% 0.63/1.01      [weight('<131,29,26,[1,0,0,0]>')]).
% 0.63/1.01  cnf('0.31.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(double_divide(inverse(X1),X2),X3),multiply(X3,X1)) = X2 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.63/1.01      [u,rule_25]).
% 0.63/1.01  cnf('0.34.0.0',plain,
% 0.63/1.01      ( multiply(double_divide(inverse(multiply(double_divide(X1,X2),X2)),X3),X3) = inverse(X1) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.2.2.0','0.27.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.34.1.0',plain,
% 0.63/1.01      ( multiply(double_divide(inverse(multiply(double_divide(X1,X2),X2)),X3),X3) = inverse(X1) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.34.0.0']),
% 0.63/1.01      [weight('<142,27,2,[0,0,0,1]>')]).
% 0.63/1.01  cnf('0.34.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(inverse(multiply(double_divide(X1,X2),X2)),X3),X3) = inverse(X1) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.63/1.01      [u,rule_28]).
% 0.63/1.01  cnf('0.35.0.0',plain,
% 0.63/1.01      ( X1 = double_divide(inverse(X1),multiply(double_divide(X2,double_divide(inverse(multiply(double_divide(X3,X4),X4)),X2)),inverse(X3))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.3.2.0','0.34.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2.2','L')]).
% 0.63/1.01  cnf('0.35.0.1',plain,
% 0.63/1.01      ( X1 = double_divide(inverse(X1),multiply(X3,inverse(X3))) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.35.0.0','0.27.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.2.1','L')]).
% 0.63/1.01  cnf('0.35.1.0',plain,
% 0.63/1.01      ( X1 = double_divide(inverse(X1),multiply(X3,inverse(X3))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.35.0.1']),
% 0.63/1.01      [weight('<71,34,3,[0,0,0,9]>')]).
% 0.63/1.01  cnf('0.35.2.0',plain,
% 0.63/1.01      ( double_divide(inverse(X1),multiply(X2,inverse(X2))) = X1 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_29]).
% 0.63/1.01  cnf('0.36.0.0',plain,
% 0.63/1.01      ( X1 = double_divide(inverse(X1),multiply(inverse(X2),X2)) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.35.2.0','0.13.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2','L')]).
% 0.63/1.01  cnf('0.36.1.0',plain,
% 0.63/1.01      ( X1 = double_divide(inverse(X1),multiply(inverse(X2),X2)) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.36.0.0']),
% 0.63/1.01      [weight('<71,35,13,[1,0,0,3]>')]).
% 0.63/1.01  cnf('0.36.2.0',plain,
% 0.63/1.01      ( double_divide(inverse(X1),multiply(inverse(X2),X2)) = X1 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_30]).
% 0.63/1.01  cnf('0.37.0.0',plain,
% 0.63/1.01      ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.28.2.0','0.36.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.37.1.0',plain,
% 0.63/1.01      ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.37.0.0']),
% 0.63/1.01      [weight('<39,36,28,[0,0,0,1]>')]).
% 0.63/1.01  cnf('0.37.2.0',plain,
% 0.63/1.01      ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.63/1.01      [u,rule_31]).
% 0.63/1.01  cnf('0.38.0.0',plain,
% 0.63/1.01      ( double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X1))) = inverse(inverse(X4)) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.37.2.0','0.4.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.38.0.1',plain,
% 0.63/1.01      ( X4 = inverse(inverse(X4)) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.38.0.0','0.3.2.0',theory(equality)]),
% 0.63/1.01      [pos('L','L')]).
% 0.63/1.01  cnf('0.38.1.0',plain,
% 0.63/1.01      ( X4 = inverse(inverse(X4)) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.38.0.1']),
% 0.63/1.01      [weight('<19,37,4,[1,0,0,1]>')]).
% 0.63/1.01  cnf('0.38.2.0',plain,
% 0.63/1.01      ( inverse(inverse(X1)) = X1 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_32]).
% 0.63/1.01  cnf('0.39.0.0',plain,
% 0.63/1.01      ( inverse(X1) = double_divide(X1,multiply(X2,inverse(X2))) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.35.2.0','0.38.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.39.1.0',plain,
% 0.63/1.01      ( inverse(X1) = double_divide(X1,multiply(X2,inverse(X2))) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.39.0.0']),
% 0.63/1.01      [weight('<62,38,35,[0,0,0,1]>')]).
% 0.63/1.01  cnf('0.39.2.0',plain,
% 0.63/1.01      ( double_divide(X1,multiply(X2,inverse(X2))) = inverse(X1) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_33]).
% 0.63/1.01  cnf('0.40.0.0',plain,
% 0.63/1.01      ( multiply(multiply(X1,inverse(X1)),X2) = inverse(inverse(X2)) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.2.2.0','0.39.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.40.0.1',plain,
% 0.63/1.01      ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.40.0.0','0.38.2.0',theory(equality)]),
% 0.63/1.01      [pos('R','L')]).
% 0.63/1.01  cnf('0.40.1.0',plain,
% 0.63/1.01      ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.40.0.1']),
% 0.63/1.01      [weight('<55,39,2,[0,0,0,1]>')]).
% 0.63/1.01  cnf('0.40.2.0',plain,
% 0.63/1.01      ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.63/1.01      [u,rule_34]).
% 0.63/1.01  cnf('0.42.0.0',plain,
% 0.63/1.01      ( X1 = multiply(double_divide(double_divide(inverse(X2),X1),multiply(X3,inverse(X3))),X2) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.31.2.0','0.40.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.2','L')]).
% 0.63/1.01  cnf('0.42.0.1',plain,
% 0.63/1.01      ( X1 = multiply(inverse(double_divide(inverse(X2),X1)),X2) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.42.0.0','0.39.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.1','L')]).
% 0.63/1.01  cnf('0.42.0.2',plain,
% 0.63/1.01      ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.42.0.1','0.2.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.1','L')]).
% 0.63/1.01  cnf('0.42.1.0',plain,
% 0.63/1.01      ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.42.0.2']),
% 0.63/1.01      [weight('<55,40,31,[0,0,0,7]>')]).
% 0.63/1.01  cnf('0.42.2.0',plain,
% 0.63/1.01      ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_36]).
% 0.63/1.01  cnf('0.43.0.0',plain,
% 0.63/1.01      ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.40.2.0','0.38.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1.2','L')]).
% 0.63/1.01  cnf('0.43.1.0',plain,
% 0.63/1.01      ( X1 = multiply(multiply(inverse(X2),X2),X1) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.43.0.0']),
% 0.63/1.01      [weight('<55,40,38,[1,0,0,3]>')]).
% 0.63/1.01  cnf('0.43.2.0',plain,
% 0.63/1.01      ( multiply(multiply(inverse(X1),X1),X2) = X2 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_37]).
% 0.63/1.01  cnf('0.45.0.0',plain,
% 0.63/1.01      ( X1 = multiply(inverse(multiply(inverse(X2),X2)),X1) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.40.2.0','0.43.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.45.0.1',plain,
% 0.63/1.01      ( X1 = multiply(double_divide(X2,inverse(X2)),X1) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.45.0.0','0.37.2.0',theory(equality)]),
% 0.63/1.01      [pos('R.1','L')]).
% 0.63/1.01  cnf('0.45.1.0',plain,
% 0.63/1.01      ( X1 = multiply(double_divide(X2,inverse(X2)),X1) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.45.0.1']),
% 0.63/1.01      [weight('<55,43,40,[0,0,0,1]>')]).
% 0.63/1.01  cnf('0.45.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,inverse(X1)),X2) = X2 ),
% 0.63/1.01      inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_39]).
% 0.63/1.01  cnf('0.48.0.0',plain,
% 0.63/1.01      ( inverse(X1) = multiply(double_divide(X1,X2),X2) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.45.2.0','0.17.2.0',theory(equality)]),
% 0.63/1.01      [pos('L','L')]).
% 0.63/1.01  cnf('0.48.1.0',plain,
% 0.63/1.01      ( inverse(X1) = multiply(double_divide(X1,X2),X2) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.48.0.0']),
% 0.63/1.01      [weight('<47,45,17,[1,0,0,0]>')]).
% 0.63/1.01  cnf('0.48.2.0',plain,
% 0.63/1.01      ( multiply(double_divide(X1,X2),X2) = inverse(X1) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.63/1.01      [x,rule_42]).
% 0.63/1.01  cnf('0.49.0.0',plain,
% 0.63/1.01      ( double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2) ),
% 0.63/1.01      inference(cp,[status(thm)],['0.42.2.0','0.48.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.49.1.0',plain,
% 0.63/1.01      ( double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.49.0.0']),
% 0.63/1.01      [weight('<44,48,42,[0,0,0,1]>')]).
% 0.63/1.01  cnf('0.49.2.0',plain,
% 0.63/1.01      ( double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.63/1.01      [u,rule_43]).
% 0.63/1.01  cnf('0.65.0.0',plain,
% 0.63/1.01      ( double_divide(inverse(multiply(X1,X2)),inverse(X3)) = multiply(X1,multiply(X2,X3)) ),
% 0.63/1.01      inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 0.63/1.01  cnf('0.65.0.1',plain,
% 0.63/1.01      ( double_divide(double_divide(X2,X1),inverse(X3)) = multiply(X1,multiply(X2,X3)) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.65.0.0','0.37.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.65.1.0',plain,
% 0.63/1.01      ( double_divide(double_divide(X2,X1),inverse(X3)) = multiply(X1,multiply(X2,X3)) ),
% 0.63/1.01      inference(weigh,[status(thm)],['0.65.0.1']),
% 0.63/1.01      [weight('<83,29,37,[0,0,0,0]>')]).
% 0.63/1.01  cnf('0.65.1.1',plain,
% 0.63/1.01      ( multiply(inverse(double_divide(X2,X1)),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.65.1.0','0.49.2.0',theory(equality)]),
% 0.63/1.01      [pos('L','L')]).
% 0.63/1.01  cnf('0.65.1.2',plain,
% 0.63/1.01      ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.63/1.01      inference(reduction,[status(thm)],['0.65.1.1','0.2.2.0',theory(equality)]),
% 0.63/1.01      [pos('L.1','L')]).
% 0.63/1.01  cnf('0.65.2.0',plain,
% 0.63/1.01      ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.63/1.01      inference(orient,[status(thm)],['0.65.1.2',theory(equality)]),
% 0.63/1.01      [u,rule_57]).
% 0.63/1.01  cnf('1.0.0.0',conjecture,
% 0.63/1.01      ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.63/1.01      file('/tmp/WALDMEISTER_14499_n028',conjecture_1)).
% 0.63/1.01  cnf('1.0.0.1',plain,
% 0.63/1.01      ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.63/1.01      inference(reduction,[status(thm)],['1.0.0.0','0.65.2.0',theory(equality)]),
% 0.63/1.01      [pos('L','L')]).
% 0.63/1.01  cnf('1.0.0.2',plain,
% 0.63/1.01      ( $true ),
% 0.63/1.01      inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.63/1.01      [conjecture_1]).
% 0.63/1.01  
% 0.63/1.01  Proved Goals:
% 0.63/1.01  No.  1:  multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.63/1.01  1 goal was specified, which was proved.
% 0.63/1.01  % SZS output end CNFRefutation
% 0.63/1.01  #END OF PROOF
% 0.63/1.01  
% 0.63/1.01  Problem         WALDMEISTER_14499_n028 
% 0.63/1.01  CPs.gen                 2327 
% 0.63/1.01  CPs.reexp                  0 
% 0.63/1.01  Select                   167 
% 0.63/1.01  R                         57 
% 0.63/1.01  E                          8 
% 0.63/1.01  vsize                   6.5M 
% 0.63/1.01  rss                     3.8M 
% 0.63/1.01  process.time          0.015s 
% 0.63/1.01  wallclock.time        0.015s 
% 0.63/1.01  status                     S
% 0.63/1.01  
% 0.63/1.01  
% 0.63/1.01  Waldmeister states: Goal proved.
% 0.63/1.01  % SZS status Unsatisfiable
%------------------------------------------------------------------------------