TSTP Solution File: GRP562-1 by Waldmeister---710

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Waldmeister---710
% Problem  : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : woody %s

% Computer : n024.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 12:26:55 EDT 2022

% Result   : Unsatisfiable 0.61s 1.01s
% Output   : CNFRefutation 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12  % Command  : woody %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 13 09:57:33 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.61/1.01  ********************************************************************************
% 0.61/1.01  *                             W A L D M E I S T E R           \|  \ /      \|/ *
% 0.61/1.01  *                                                              |/  |    \/  |  *
% 0.61/1.01  *              (C) 1994-2010  A. Buch and Th. Hillenbrand,      \ /      \ /   *
% 0.61/1.01  *                             A. Jaeger and B. Loechner          |        |    *
% 0.61/1.01  *                             <waldmeister@informatik.uni-kl.de>          |    *
% 0.61/1.01  ********************************************************************************
% 0.61/1.01  
% 0.61/1.01  
% 0.61/1.01  Goals:
% 0.61/1.01  ------
% 0.61/1.01  
% 0.61/1.01  (   1)  multiply(multiply(inverse(b2),b2),a2) ?=? a2
% 0.61/1.01  
% 0.61/1.01  Detected structure: Orkus
% 0.61/1.01  ********************************************************************************
% 0.61/1.01  ****************************** COMPLETION - PROOF ******************************
% 0.61/1.01  ********************************************************************************
% 0.61/1.01  
% 0.61/1.01  joined goal:             1  multiply(multiply(inverse(b2),b2),a2) ?= a2 to a2
% 0.61/1.01  goal joined
% 0.61/1.01  % SZS status Unsatisfiable
% 0.61/1.01  #START OF PROOF
% 0.61/1.01  % SZS output start CNFRefutation
% 0.61/1.01  cnf('0.1.0.0',axiom,
% 0.61/1.01      ( X1 = divide(divide(divide(X2,inverse(X1)),X3),divide(X2,X3)) ),
% 0.61/1.01      file('/tmp/WALDMEISTER_5125_n024')).
% 0.61/1.01  cnf('0.1.1.0',plain,
% 0.61/1.01      ( X1 = divide(divide(divide(X2,inverse(X1)),X3),divide(X2,X3)) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/1.01      [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/1.01  cnf('0.1.2.0',plain,
% 0.61/1.01      ( divide(divide(divide(X1,inverse(X2)),X3),divide(X1,X3)) = X2 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_1]).
% 0.61/1.01  cnf('0.2.0.0',axiom,
% 0.61/1.01      ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.61/1.01      file('/tmp/WALDMEISTER_5125_n024')).
% 0.61/1.01  cnf('0.2.1.0',plain,
% 0.61/1.01      ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.2.0.0']),
% 0.61/1.01      [weight('<1,0,0,[0,0,0,2]>')]).
% 0.61/1.01  cnf('0.2.2.0',plain,
% 0.61/1.01      ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.61/1.01      inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.61/1.01      [u,rule_2]).
% 0.61/1.01  cnf('0.3.0.0',plain,
% 0.61/1.01      ( divide(divide(divide(X1,inverse(X2)),X3),divide(X1,X3)) = X2 ),
% 0.61/1.01      inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.61/1.01  cnf('0.3.0.1',plain,
% 0.61/1.01      ( divide(divide(multiply(X1,X2),X3),divide(X1,X3)) = X2 ),
% 0.61/1.01      inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.1.1','L')]).
% 0.61/1.01  cnf('0.3.1.0',plain,
% 0.61/1.01      ( divide(divide(multiply(X1,X2),X3),divide(X1,X3)) = X2 ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.3.0.1']),
% 0.61/1.01      [weight('<109,1,2,[0,0,0,0]>')]).
% 0.61/1.01  cnf('0.3.2.0',plain,
% 0.61/1.01      ( divide(divide(multiply(X1,X2),X3),divide(X1,X3)) = X2 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.61/1.01      [u,rule_3]).
% 0.61/1.01  cnf('0.4.0.0',plain,
% 0.61/1.01      ( X1 = divide(multiply(multiply(X2,X1),X3),divide(X2,inverse(X3))) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.1','L')]).
% 0.61/1.01  cnf('0.4.0.1',plain,
% 0.61/1.01      ( X1 = divide(multiply(multiply(X2,X1),X3),multiply(X2,X3)) ),
% 0.61/1.01      inference(reduction,[status(thm)],['0.4.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.01      [pos('R.2','L')]).
% 0.61/1.01  cnf('0.4.1.0',plain,
% 0.61/1.01      ( X1 = divide(multiply(multiply(X2,X1),X3),multiply(X2,X3)) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.4.0.1']),
% 0.61/1.01      [weight('<109,3,2,[1,0,0,1]>')]).
% 0.61/1.01  cnf('0.4.2.0',plain,
% 0.61/1.01      ( divide(multiply(multiply(X1,X2),X3),multiply(X1,X3)) = X2 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_4]).
% 0.61/1.01  cnf('0.5.0.0',plain,
% 0.61/1.01      ( X1 = divide(X2,divide(multiply(X3,X2),multiply(X3,X1))) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.1','L')]).
% 0.61/1.01  cnf('0.5.1.0',plain,
% 0.61/1.01      ( X1 = divide(X2,divide(multiply(X3,X2),multiply(X3,X1))) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.5.0.0']),
% 0.61/1.01      [weight('<109,4,3,[0,0,0,1]>')]).
% 0.61/1.01  cnf('0.5.2.0',plain,
% 0.61/1.01      ( divide(X1,divide(multiply(X2,X1),multiply(X2,X3))) = X3 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_5]).
% 0.61/1.01  cnf('0.6.0.0',plain,
% 0.61/1.01      ( X1 = divide(divide(multiply(divide(multiply(X2,X3),X4),X1),divide(X2,X4)),X3) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.2','L')]).
% 0.61/1.01  cnf('0.6.1.0',plain,
% 0.61/1.01      ( X1 = divide(divide(multiply(divide(multiply(X2,X3),X4),X1),divide(X2,X4)),X3) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.6.0.0']),
% 0.61/1.01      [weight('<209,3,3,[0,0,0,6]>')]).
% 0.61/1.01  cnf('0.6.2.0',plain,
% 0.61/1.01      ( divide(divide(multiply(divide(multiply(X1,X2),X3),X4),divide(X1,X3)),X2) = X4 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_6]).
% 0.61/1.01  cnf('0.10.0.0',plain,
% 0.61/1.01      ( X1 = multiply(divide(multiply(divide(multiply(X2,inverse(X3)),X4),X1),divide(X2,X4)),X3) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.01      [pos('L','L')]).
% 0.61/1.01  cnf('0.10.1.0',plain,
% 0.61/1.01      ( X1 = multiply(divide(multiply(divide(multiply(X2,inverse(X3)),X4),X1),divide(X2,X4)),X3) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.10.0.0']),
% 0.61/1.01      [weight('<239,6,2,[1,0,0,0]>')]).
% 0.61/1.01  cnf('0.10.2.0',plain,
% 0.61/1.01      ( multiply(divide(multiply(divide(multiply(X1,inverse(X2)),X3),X4),divide(X1,X3)),X2) = X4 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_10]).
% 0.61/1.01  cnf('0.11.0.0',plain,
% 0.61/1.01      ( X1 = divide(divide(X2,divide(divide(multiply(X3,inverse(X1)),X4),divide(X3,X4))),X2) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.6.2.0','0.10.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.1.1','L')]).
% 0.61/1.01  cnf('0.11.0.1',plain,
% 0.61/1.01      ( X1 = divide(divide(X2,inverse(X1)),X2) ),
% 0.61/1.01      inference(reduction,[status(thm)],['0.11.0.0','0.3.2.0',theory(equality)]),
% 0.61/1.01      [pos('R.1.2','L')]).
% 0.61/1.01  cnf('0.11.0.2',plain,
% 0.61/1.01      ( X1 = divide(multiply(X2,X1),X2) ),
% 0.61/1.01      inference(reduction,[status(thm)],['0.11.0.1','0.2.2.0',theory(equality)]),
% 0.61/1.01      [pos('R.1','L')]).
% 0.61/1.01  cnf('0.11.1.0',plain,
% 0.61/1.01      ( X1 = divide(multiply(X2,X1),X2) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.11.0.2']),
% 0.61/1.01      [weight('<41,10,6,[0,0,0,2]>')]).
% 0.61/1.01  cnf('0.11.2.0',plain,
% 0.61/1.01      ( divide(multiply(X1,X2),X1) = X2 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_11]).
% 0.61/1.01  cnf('0.12.0.0',plain,
% 0.61/1.01      ( X1 = divide(X1,divide(X2,X2)) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.3.2.0','0.11.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.1','L')]).
% 0.61/1.01  cnf('0.12.1.0',plain,
% 0.61/1.01      ( X1 = divide(X1,divide(X2,X2)) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.12.0.0']),
% 0.61/1.01      [weight('<41,11,3,[0,0,0,1]>')]).
% 0.61/1.01  cnf('0.12.2.0',plain,
% 0.61/1.01      ( divide(X1,divide(X2,X2)) = X1 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_12]).
% 0.61/1.01  cnf('0.13.0.0',plain,
% 0.61/1.01      ( multiply(divide(X1,X1),X2) = X2 ),
% 0.61/1.01      inference(cp,[status(thm)],['0.12.2.0','0.11.2.0',theory(equality)]),
% 0.61/1.01      [pos('L','L')]).
% 0.61/1.01  cnf('0.13.1.0',plain,
% 0.61/1.01      ( multiply(divide(X1,X1),X2) = X2 ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.13.0.0']),
% 0.61/1.01      [weight('<41,12,11,[1,0,0,0]>')]).
% 0.61/1.01  cnf('0.13.2.0',plain,
% 0.61/1.01      ( multiply(divide(X1,X1),X2) = X2 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.61/1.01      [u,rule_13]).
% 0.61/1.01  cnf('0.15.0.0',plain,
% 0.61/1.01      ( X1 = divide(X2,divide(X2,multiply(divide(X3,X3),X1))) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.5.2.0','0.13.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.2.1','L')]).
% 0.61/1.01  cnf('0.15.0.1',plain,
% 0.61/1.01      ( X1 = divide(X2,divide(X2,X1)) ),
% 0.61/1.01      inference(reduction,[status(thm)],['0.15.0.0','0.13.2.0',theory(equality)]),
% 0.61/1.01      [pos('R.2.2','L')]).
% 0.61/1.01  cnf('0.15.1.0',plain,
% 0.61/1.01      ( X1 = divide(X2,divide(X2,X1)) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.15.0.1']),
% 0.61/1.01      [weight('<41,13,5,[0,0,0,3]>')]).
% 0.61/1.01  cnf('0.15.2.0',plain,
% 0.61/1.01      ( divide(X1,divide(X1,X2)) = X2 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_15]).
% 0.61/1.01  cnf('0.17.0.0',plain,
% 0.61/1.01      ( inverse(X1) = divide(X2,multiply(X2,X1)) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.15.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.2','L')]).
% 0.61/1.01  cnf('0.17.1.0',plain,
% 0.61/1.01      ( inverse(X1) = divide(X2,multiply(X2,X1)) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.17.0.0']),
% 0.61/1.01      [weight('<47,15,2,[1,0,0,2]>')]).
% 0.61/1.01  cnf('0.17.2.0',plain,
% 0.61/1.01      ( divide(X1,multiply(X1,X2)) = inverse(X2) ),
% 0.61/1.01      inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_17]).
% 0.61/1.01  cnf('0.18.0.0',plain,
% 0.61/1.01      ( inverse(X1) = divide(divide(X2,X2),X1) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.17.2.0','0.13.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.2','L')]).
% 0.61/1.01  cnf('0.18.1.0',plain,
% 0.61/1.01      ( inverse(X1) = divide(divide(X2,X2),X1) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.18.0.0']),
% 0.61/1.01      [weight('<47,17,13,[1,0,0,2]>')]).
% 0.61/1.01  cnf('0.18.2.0',plain,
% 0.61/1.01      ( divide(divide(X1,X1),X2) = inverse(X2) ),
% 0.61/1.01      inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_18]).
% 0.61/1.01  cnf('0.19.0.0',plain,
% 0.61/1.01      ( inverse(inverse(X1)) = multiply(divide(X2,X2),X1) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.01      [pos('L','L')]).
% 0.61/1.01  cnf('0.19.0.1',plain,
% 0.61/1.01      ( inverse(inverse(X1)) = X1 ),
% 0.61/1.01      inference(reduction,[status(thm)],['0.19.0.0','0.13.2.0',theory(equality)]),
% 0.61/1.01      [pos('R','L')]).
% 0.61/1.01  cnf('0.19.1.0',plain,
% 0.61/1.01      ( inverse(inverse(X1)) = X1 ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.19.0.1']),
% 0.61/1.01      [weight('<19,18,2,[1,0,0,0]>')]).
% 0.61/1.01  cnf('0.19.2.0',plain,
% 0.61/1.01      ( inverse(inverse(X1)) = X1 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.61/1.01      [u,rule_19]).
% 0.61/1.01  cnf('0.20.0.0',plain,
% 0.61/1.01      ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.2.2.0','0.19.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.2','L')]).
% 0.61/1.01  cnf('0.20.1.0',plain,
% 0.61/1.01      ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.20.0.0']),
% 0.61/1.01      [weight('<39,19,2,[0,0,0,2]>')]).
% 0.61/1.01  cnf('0.20.2.0',plain,
% 0.61/1.01      ( multiply(X1,inverse(X2)) = divide(X1,X2) ),
% 0.61/1.01      inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.61/1.01      [u,rule_20]).
% 0.61/1.01  cnf('0.21.0.0',plain,
% 0.61/1.01      ( X1 = divide(divide(multiply(divide(X2,X2),X1),X3),inverse(X3)) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.3.2.0','0.18.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.2','L')]).
% 0.61/1.01  cnf('0.21.0.1',plain,
% 0.61/1.01      ( X1 = multiply(divide(multiply(divide(X2,X2),X1),X3),X3) ),
% 0.61/1.01      inference(reduction,[status(thm)],['0.21.0.0','0.2.2.0',theory(equality)]),
% 0.61/1.01      [pos('R','L')]).
% 0.61/1.01  cnf('0.21.0.2',plain,
% 0.61/1.01      ( X1 = multiply(divide(X1,X3),X3) ),
% 0.61/1.01      inference(reduction,[status(thm)],['0.21.0.1','0.13.2.0',theory(equality)]),
% 0.61/1.01      [pos('R.1.1','L')]).
% 0.61/1.01  cnf('0.21.1.0',plain,
% 0.61/1.01      ( X1 = multiply(divide(X1,X3),X3) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.21.0.2']),
% 0.61/1.01      [weight('<41,18,3,[0,0,0,6]>')]).
% 0.61/1.01  cnf('0.21.2.0',plain,
% 0.61/1.01      ( multiply(divide(X1,X2),X2) = X1 ),
% 0.61/1.01      inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_21]).
% 0.61/1.01  cnf('0.25.0.0',plain,
% 0.61/1.01      ( inverse(X1) = divide(divide(X2,X1),X2) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.11.2.0','0.20.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.1','L')]).
% 0.61/1.01  cnf('0.25.1.0',plain,
% 0.61/1.01      ( inverse(X1) = divide(divide(X2,X1),X2) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.25.0.0']),
% 0.61/1.01      [weight('<47,20,11,[0,0,0,1]>')]).
% 0.61/1.01  cnf('0.25.2.0',plain,
% 0.61/1.01      ( divide(divide(X1,X2),X1) = inverse(X2) ),
% 0.61/1.01      inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_25]).
% 0.61/1.01  cnf('0.26.0.0',plain,
% 0.61/1.01      ( divide(X1,X2) = multiply(inverse(X2),X1) ),
% 0.61/1.01      inference(cp,[status(thm)],['0.21.2.0','0.25.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.1','L')]).
% 0.61/1.01  cnf('0.26.1.0',plain,
% 0.61/1.01      ( divide(X1,X2) = multiply(inverse(X2),X1) ),
% 0.61/1.01      inference(weigh,[status(thm)],['0.26.0.0']),
% 0.61/1.01      [weight('<39,25,21,[0,0,0,1]>')]).
% 0.61/1.01  cnf('0.26.2.0',plain,
% 0.61/1.01      ( multiply(inverse(X1),X2) = divide(X2,X1) ),
% 0.61/1.01      inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.61/1.01      [x,rule_26]).
% 0.61/1.01  cnf('1.0.0.0',conjecture,
% 0.61/1.01      ( multiply(multiply(inverse(b2),b2),a2) = a2 ),
% 0.61/1.01      file('/tmp/WALDMEISTER_5125_n024',conjecture_1)).
% 0.61/1.01  cnf('1.0.0.1',plain,
% 0.61/1.01      ( multiply(divide(b2,b2),a2) = a2 ),
% 0.61/1.01      inference(reduction,[status(thm)],['1.0.0.0','0.26.2.0',theory(equality)]),
% 0.61/1.01      [pos('L.1','L')]).
% 0.61/1.01  cnf('1.0.0.2',plain,
% 0.61/1.01      ( a2 = a2 ),
% 0.61/1.01      inference(reduction,[status(thm)],['1.0.0.1','0.13.2.0',theory(equality)]),
% 0.61/1.01      [pos('L','L')]).
% 0.61/1.01  cnf('1.0.0.3',plain,
% 0.61/1.01      ( $true ),
% 0.61/1.01      inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.61/1.01      [conjecture_1]).
% 0.61/1.01  
% 0.61/1.01  Proved Goals:
% 0.61/1.01  No.  1:  multiply(multiply(inverse(b2),b2),a2) ?= a2 joined, current: a2 = a2
% 0.61/1.01  1 goal was specified, which was proved.
% 0.61/1.01  % SZS output end CNFRefutation
% 0.61/1.01  #END OF PROOF
% 0.61/1.01  
% 0.61/1.01  Problem         WALDMEISTER_5125_n024 
% 0.61/1.01  CPs.gen                  342 
% 0.61/1.01  CPs.reexp                  0 
% 0.61/1.01  Select                    39 
% 0.61/1.01  R                         26 
% 0.61/1.01  E                          0 
% 0.61/1.01  vsize                   6.4M 
% 0.61/1.01  rss                     3.8M 
% 0.61/1.01  process.time          0.003s 
% 0.61/1.01  wallclock.time        0.003s 
% 0.61/1.01  status                     S
% 0.61/1.01  
% 0.61/1.01  
% 0.61/1.01  Waldmeister states: Goal proved.
% 0.61/1.01  % SZS status Unsatisfiable
%------------------------------------------------------------------------------