TSTP Solution File: ROB022-1 by Waldmeister---710

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Waldmeister---710
% Problem  : ROB022-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : woody %s

% Computer : n021.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 : Mon Jul 18 20:57:17 EDT 2022

% Result   : Unsatisfiable 0.85s 1.25s
% Output   : CNFRefutation 0.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ROB022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : woody %s
% 0.12/0.34  % Computer : n021.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 : Thu Jun  9 13:57:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.64/1.05  ********************************************************************************
% 0.64/1.05  *                             W A L D M E I S T E R           \|  \ /      \|/ *
% 0.64/1.05  *                                                              |/  |    \/  |  *
% 0.64/1.05  *              (C) 1994-2010  A. Buch and Th. Hillenbrand,      \ /      \ /   *
% 0.64/1.05  *                             A. Jaeger and B. Loechner          |        |    *
% 0.64/1.05  *                             <waldmeister@informatik.uni-kl.de>          |    *
% 0.64/1.05  ********************************************************************************
% 0.64/1.05  
% 0.64/1.05  
% 0.64/1.05  Goals:
% 0.64/1.05  ------
% 0.64/1.05  
% 0.64/1.05  (   1)  add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) ?=? b
% 0.64/1.05  
% 0.64/1.05  Detected structure: RobbinsAlgebra
% 0.64/1.05  ********************************************************************************
% 0.64/1.05  ****************************** COMPLETION - PROOF ******************************
% 0.64/1.05  ********************************************************************************
% 0.64/1.05  
% 0.85/1.24  joined goal:           1  add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) ?= b to b
% 0.85/1.24  goal joined
% 0.85/1.25  % SZS status Unsatisfiable
% 0.85/1.25  #START OF PROOF
% 0.85/1.25  % SZS output start CNFRefutation
% 0.85/1.25  cnf('0.1.0.0',axiom,
% 0.85/1.25      ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 0.85/1.25      file('/tmp/WALDMEISTER_31195_n021')).
% 0.85/1.25  cnf('0.1.1.0',plain,
% 0.85/1.25      ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.1.0.0']),
% 0.85/1.25      [weight('<0,0,0,[0,0,0,1]>')]).
% 0.85/1.25  cnf('0.1.2.0',plain,
% 0.85/1.25      ( negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1 ),
% 0.85/1.25      inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_1]).
% 0.85/1.25  cnf('0.2.0.0',axiom,
% 0.85/1.25      ( add(X1,X2) = add(X2,X1) ),
% 0.85/1.25      file('/tmp/WALDMEISTER_31195_n021')).
% 0.85/1.25  cnf('0.2.1.0',plain,
% 0.85/1.25      ( add(X1,X2) = add(X2,X1) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.2.0.0']),
% 0.85/1.25      [weight('<1,0,0,[0,0,0,2]>')]).
% 0.85/1.25  cnf('0.2.2.0',plain,
% 0.85/1.25      ( add(X1,X2) = add(X2,X1) ),
% 0.85/1.25      inference(activate,[status(thm)],['0.2.1.0']),
% 0.85/1.25      [equation_1]).
% 0.85/1.25  cnf('0.3.0.0',axiom,
% 0.85/1.25      ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.85/1.25      file('/tmp/WALDMEISTER_31195_n021')).
% 0.85/1.25  cnf('0.3.1.0',plain,
% 0.85/1.25      ( add(X1,add(X2,X3)) = add(add(X1,X2),X3) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.3.0.0']),
% 0.85/1.25      [weight('<2,0,0,[0,0,0,3]>')]).
% 0.85/1.25  cnf('0.3.2.0',plain,
% 0.85/1.25      ( add(add(X1,X2),X3) = add(X1,add(X2,X3)) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_2]).
% 0.85/1.25  cnf('0.4.0.0',axiom,
% 0.85/1.25      ( add(c,negate(c)) = c ),
% 0.85/1.25      file('/tmp/WALDMEISTER_31195_n021')).
% 0.85/1.25  cnf('0.4.1.0',plain,
% 0.85/1.25      ( add(c,negate(c)) = c ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.4.0.0']),
% 0.85/1.25      [weight('<3,0,0,[0,0,0,4]>')]).
% 0.85/1.25  cnf('0.4.2.0',plain,
% 0.85/1.25      ( add(c,negate(c)) = c ),
% 0.85/1.25      inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.85/1.25      [u,rule_3]).
% 0.85/1.25  cnf('0.5.0.0',plain,
% 0.85/1.25      ( add(c,add(negate(c),X1)) = add(c,X1) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1','L')]).
% 0.85/1.25  cnf('0.5.1.0',plain,
% 0.85/1.25      ( add(c,add(negate(c),X1)) = add(c,X1) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.5.0.0']),
% 0.85/1.25      [weight('<26,4,3,[0,0,0,1]>')]).
% 0.85/1.25  cnf('0.5.2.0',plain,
% 0.85/1.25      ( add(c,add(negate(c),X1)) = add(c,X1) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.85/1.25      [u,rule_4]).
% 0.85/1.25  cnf('0.6.0.0',plain,
% 0.85/1.25      ( add(c,X1) = add(c,add(X1,negate(c))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.2','L')]).
% 0.85/1.25  cnf('0.6.1.0',plain,
% 0.85/1.25      ( add(c,X1) = add(c,add(X1,negate(c))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.6.0.0']),
% 0.85/1.25      [weight('<26,5,2,[1,0,0,2]>')]).
% 0.85/1.25  cnf('0.6.2.0',plain,
% 0.85/1.25      ( add(c,add(X1,negate(c))) = add(c,X1) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_5]).
% 0.85/1.25  cnf('0.13.0.0',plain,
% 0.85/1.25      ( negate(add(X1,X2)) = negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.1','L')]).
% 0.85/1.25  cnf('0.13.1.0',plain,
% 0.85/1.25      ( negate(add(X1,X2)) = negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.13.0.0']),
% 0.85/1.25      [weight('<?,1,1,[0,0,0,2]>')]).
% 0.85/1.25  cnf('0.13.2.0',plain,
% 0.85/1.25      ( negate(add(X1,negate(add(negate(add(X1,X2)),negate(negate(add(X1,negate(X2)))))))) = negate(add(X1,X2)) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_12]).
% 0.85/1.25  cnf('0.14.0.0',plain,
% 0.85/1.25      ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.1.1','L')]).
% 0.85/1.25  cnf('0.14.1.0',plain,
% 0.85/1.25      ( X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.14.0.0']),
% 0.85/1.25      [weight('<39,2,1,[0,0,0,3]>')]).
% 0.85/1.25  cnf('0.14.2.0',plain,
% 0.85/1.25      ( negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2 ),
% 0.85/1.25      inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_13]).
% 0.85/1.25  cnf('0.23.0.0',plain,
% 0.85/1.25      ( X1 = negate(add(negate(add(X2,X1)),negate(add(negate(X2),X1)))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.14.2.0','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.2.1','L')]).
% 0.85/1.25  cnf('0.23.1.0',plain,
% 0.85/1.25      ( X1 = negate(add(negate(add(X2,X1)),negate(add(negate(X2),X1)))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.23.0.0']),
% 0.85/1.25      [weight('<39,14,2,[1,0,0,7]>')]).
% 0.85/1.25  cnf('0.23.2.0',plain,
% 0.85/1.25      ( negate(add(negate(add(X1,X2)),negate(add(negate(X1),X2)))) = X2 ),
% 0.85/1.25      inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_22]).
% 0.85/1.25  cnf('0.35.0.0',plain,
% 0.85/1.25      ( X1 = negate(add(negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))),negate(add(X1,X2)))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.2.1.2','L')]).
% 0.85/1.25  cnf('0.35.1.0',plain,
% 0.85/1.25      ( X1 = negate(add(negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))),negate(add(X1,X2)))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.35.0.0']),
% 0.85/1.25      [weight('<?,1,1,[0,0,0,9]>')]).
% 0.85/1.25  cnf('0.35.1.1',plain,
% 0.85/1.25      ( X1 = negate(add(negate(add(X1,X2)),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.35.1.0','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1','L')]).
% 0.85/1.25  cnf('0.35.2.0',plain,
% 0.85/1.25      ( negate(add(negate(add(X1,X2)),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))) = X1 ),
% 0.85/1.25      inference(orient,[status(thm)],['0.35.1.1',theory(equality)]),
% 0.85/1.25      [x,rule_34]).
% 0.85/1.25  cnf('0.68.0.0',plain,
% 0.85/1.25      ( add(X1,add(X2,X3)) = add(add(X2,X1),X3) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1','L')]).
% 0.85/1.25  cnf('0.68.0.1',plain,
% 0.85/1.25      ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.68.0.0','0.3.2.0',theory(equality)]),
% 0.85/1.25      [pos('R','L')]).
% 0.85/1.25  cnf('0.68.1.0',plain,
% 0.85/1.25      ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.68.0.1']),
% 0.85/1.25      [weight('<?,3,2,[1,0,0,1]>')]).
% 0.85/1.25  cnf('0.68.2.0',plain,
% 0.85/1.25      ( add(X1,add(X2,X3)) = add(X2,add(X1,X3)) ),
% 0.85/1.25      inference(activate,[status(thm)],['0.68.1.0']),
% 0.85/1.25      [equation_3]).
% 0.85/1.25  cnf('0.189.0.0',plain,
% 0.85/1.25      ( negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = negate(add(X1,negate(add(negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))),negate(negate(add(X1,X2))))))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.13.2.0','0.1.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.2.1.2.1.1.2','L')]).
% 0.85/1.25  cnf('0.189.1.0',plain,
% 0.85/1.25      ( negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = negate(add(X1,negate(add(negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))),negate(negate(add(X1,X2))))))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.189.0.0']),
% 0.85/1.25      [weight('<?,13,1,[1,0,0,13]>')]).
% 0.85/1.25  cnf('0.189.1.1',plain,
% 0.85/1.25      ( negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) = negate(add(X1,negate(add(negate(negate(add(X1,X2))),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.189.1.0','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.2.1','L')]).
% 0.85/1.25  cnf('0.189.2.0',plain,
% 0.85/1.25      ( negate(add(X1,negate(add(negate(negate(add(X1,X2))),negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))))))) = negate(add(X1,add(negate(add(X2,X3)),negate(add(X2,negate(X3)))))) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.189.1.1',theory(equality)]),
% 0.85/1.25      [x,rule_186]).
% 0.85/1.25  cnf('0.310.0.0',plain,
% 0.85/1.25      ( negate(add(X1,X2)) = negate(add(negate(add(negate(add(X1,X2)),add(X2,negate(X1)))),X2)) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.1.2.0','0.14.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.2','L')]).
% 0.85/1.25  cnf('0.310.1.0',plain,
% 0.85/1.25      ( negate(add(X1,X2)) = negate(add(negate(add(negate(add(X1,X2)),add(X2,negate(X1)))),X2)) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.310.0.0']),
% 0.85/1.25      [weight('<?,14,1,[0,0,0,6]>')]).
% 0.85/1.25  cnf('0.310.1.1',plain,
% 0.85/1.25      ( negate(add(X1,X2)) = negate(add(X2,negate(add(negate(add(X1,X2)),add(X2,negate(X1)))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.310.1.0','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1','L')]).
% 0.85/1.25  cnf('0.310.1.2',plain,
% 0.85/1.25      ( negate(add(X1,X2)) = negate(add(X2,negate(add(X2,add(negate(add(X1,X2)),negate(X1)))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.310.1.1','0.68.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.2.1','L')]).
% 0.85/1.25  cnf('0.310.1.3',plain,
% 0.85/1.25      ( negate(add(X1,X2)) = negate(add(X2,negate(add(X2,add(negate(X1),negate(add(X1,X2))))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.310.1.2','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.2.1.2','L')]).
% 0.85/1.25  cnf('0.310.2.0',plain,
% 0.85/1.25      ( negate(add(X1,negate(add(X1,add(negate(X2),negate(add(X2,X1))))))) = negate(add(X2,X1)) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.310.1.3',theory(equality)]),
% 0.85/1.25      [x,rule_307]).
% 0.85/1.25  cnf('0.312.0.0',plain,
% 0.85/1.25      ( negate(add(c,negate(c))) = negate(add(negate(c),negate(add(negate(c),add(negate(c),negate(c)))))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.310.2.0','0.4.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.2.1.2.2.1','L')]).
% 0.85/1.25  cnf('0.312.0.1',plain,
% 0.85/1.25      ( negate(c) = negate(add(negate(c),negate(add(negate(c),add(negate(c),negate(c)))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.312.0.0','0.4.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1','L')]).
% 0.85/1.25  cnf('0.312.1.0',plain,
% 0.85/1.25      ( negate(c) = negate(add(negate(c),negate(add(negate(c),add(negate(c),negate(c)))))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.312.0.1']),
% 0.85/1.25      [weight('<41,310,4,[1,0,0,10]>')]).
% 0.85/1.25  cnf('0.312.2.0',plain,
% 0.85/1.25      ( negate(add(negate(c),negate(add(negate(c),add(negate(c),negate(c)))))) = negate(c) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.312.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_309]).
% 0.85/1.25  cnf('0.376.0.0',plain,
% 0.85/1.25      ( add(negate(c),X1) = negate(add(negate(add(c,X1)),negate(add(add(negate(c),X1),negate(c))))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.14.2.0','0.5.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.1.1','L')]).
% 0.85/1.25  cnf('0.376.0.1',plain,
% 0.85/1.25      ( add(negate(c),X1) = negate(add(negate(add(c,X1)),negate(add(negate(c),add(X1,negate(c)))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.376.0.0','0.3.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.2.1','L')]).
% 0.85/1.25  cnf('0.376.1.0',plain,
% 0.85/1.25      ( add(negate(c),X1) = negate(add(negate(add(c,X1)),negate(add(negate(c),add(X1,negate(c)))))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.376.0.1']),
% 0.85/1.25      [weight('<?,14,5,[1,0,0,3]>')]).
% 0.85/1.25  cnf('0.376.2.0',plain,
% 0.85/1.25      ( negate(add(negate(add(c,X1)),negate(add(negate(c),add(X1,negate(c)))))) = add(negate(c),X1) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.376.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_373]).
% 0.85/1.25  cnf('0.387.0.0',plain,
% 0.85/1.25      ( add(X1,negate(c)) = negate(add(negate(add(c,X1)),negate(add(add(X1,negate(c)),negate(c))))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.14.2.0','0.6.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.1.1','L')]).
% 0.85/1.25  cnf('0.387.0.1',plain,
% 0.85/1.25      ( add(X1,negate(c)) = negate(add(negate(add(c,X1)),negate(add(X1,add(negate(c),negate(c)))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.387.0.0','0.3.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.2.1','L')]).
% 0.85/1.25  cnf('0.387.1.0',plain,
% 0.85/1.25      ( add(X1,negate(c)) = negate(add(negate(add(c,X1)),negate(add(X1,add(negate(c),negate(c)))))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.387.0.1']),
% 0.85/1.25      [weight('<?,14,6,[1,0,0,3]>')]).
% 0.85/1.25  cnf('0.387.2.0',plain,
% 0.85/1.25      ( negate(add(negate(add(c,X1)),negate(add(X1,add(negate(c),negate(c)))))) = add(X1,negate(c)) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.387.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_384]).
% 0.85/1.25  cnf('0.388.0.0',plain,
% 0.85/1.25      ( add(negate(c),negate(c)) = negate(add(negate(c),negate(add(negate(c),add(negate(c),negate(c)))))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.387.2.0','0.4.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.1.1','L')]).
% 0.85/1.25  cnf('0.388.0.1',plain,
% 0.85/1.25      ( add(negate(c),negate(c)) = negate(c) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.388.0.0','0.312.2.0',theory(equality)]),
% 0.85/1.25      [pos('R','L')]).
% 0.85/1.25  cnf('0.388.1.0',plain,
% 0.85/1.25      ( add(negate(c),negate(c)) = negate(c) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.388.0.1']),
% 0.85/1.25      [weight('<17,387,4,[1,0,0,3]>')]).
% 0.85/1.25  cnf('0.388.2.0',plain,
% 0.85/1.25      ( add(negate(c),negate(c)) = negate(c) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.388.1.0',theory(equality)]),
% 0.85/1.25      [u,rule_385]).
% 0.85/1.25  cnf('0.390.0.0',plain,
% 0.85/1.25      ( negate(add(negate(add(c,X1)),negate(add(X1,add(negate(c),negate(c)))))) = add(X1,negate(c)) ),
% 0.85/1.25      inference(interreduction_right,[status(thm)],['0.387.2.0'])).
% 0.85/1.25  cnf('0.390.0.1',plain,
% 0.85/1.25      ( negate(add(negate(add(c,X1)),negate(add(X1,negate(c))))) = add(X1,negate(c)) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.390.0.0','0.388.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.2.1.2','L')]).
% 0.85/1.25  cnf('0.390.0.2',plain,
% 0.85/1.25      ( X1 = add(X1,negate(c)) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.390.0.1','0.14.2.0',theory(equality)]),
% 0.85/1.25      [pos('L','L')]).
% 0.85/1.25  cnf('0.390.1.0',plain,
% 0.85/1.25      ( X1 = add(X1,negate(c)) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.390.0.2']),
% 0.85/1.25      [weight('<16,387,388,[0,0,0,0]>')]).
% 0.85/1.25  cnf('0.390.2.0',plain,
% 0.85/1.25      ( add(X1,negate(c)) = X1 ),
% 0.85/1.25      inference(orient,[status(thm)],['0.390.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_387]).
% 0.85/1.25  cnf('0.391.0.0',plain,
% 0.85/1.25      ( negate(add(negate(add(c,X1)),negate(add(negate(c),add(X1,negate(c)))))) = add(negate(c),X1) ),
% 0.85/1.25      inference(interreduction_right,[status(thm)],['0.376.2.0'])).
% 0.85/1.25  cnf('0.391.0.1',plain,
% 0.85/1.25      ( negate(add(negate(add(c,X1)),negate(add(negate(c),X1)))) = add(negate(c),X1) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.391.0.0','0.390.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.2.1.2','L')]).
% 0.85/1.25  cnf('0.391.0.2',plain,
% 0.85/1.25      ( X1 = add(negate(c),X1) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.391.0.1','0.23.2.0',theory(equality)]),
% 0.85/1.25      [pos('L','L')]).
% 0.85/1.25  cnf('0.391.1.0',plain,
% 0.85/1.25      ( X1 = add(negate(c),X1) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.391.0.2']),
% 0.85/1.25      [weight('<16,376,390,[0,0,0,0]>')]).
% 0.85/1.25  cnf('0.391.2.0',plain,
% 0.85/1.25      ( add(negate(c),X1) = X1 ),
% 0.85/1.25      inference(orient,[status(thm)],['0.391.1.0',theory(equality)]),
% 0.85/1.25      [x,rule_388]).
% 0.85/1.25  cnf('0.392.0.0',plain,
% 0.85/1.25      ( negate(c) = negate(add(negate(X1),negate(add(negate(c),add(negate(add(X1,X2)),negate(add(X1,negate(X2)))))))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.35.2.0','0.391.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.1.1','L')]).
% 0.85/1.25  cnf('0.392.0.1',plain,
% 0.85/1.25      ( negate(c) = negate(add(negate(X1),negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.392.0.0','0.391.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.2.1','L')]).
% 0.85/1.25  cnf('0.392.0.2',plain,
% 0.85/1.25      ( negate(c) = negate(add(negate(X1),X1)) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.392.0.1','0.1.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.2','L')]).
% 0.85/1.25  cnf('0.392.1.0',plain,
% 0.85/1.25      ( negate(c) = negate(add(negate(X1),X1)) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.392.0.2']),
% 0.85/1.25      [weight('<17,391,35,[0,0,0,3]>')]).
% 0.85/1.25  cnf('0.392.1.1',plain,
% 0.85/1.25      ( negate(c) = negate(add(X1,negate(X1))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.392.1.0','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1','L')]).
% 0.85/1.25  cnf('0.392.2.0',plain,
% 0.85/1.25      ( negate(add(X1,negate(X1))) = negate(c) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.392.1.1',theory(equality)]),
% 0.85/1.25      [x,rule_389]).
% 0.85/1.25  cnf('0.394.0.0',plain,
% 0.85/1.25      ( negate(add(negate(c),add(negate(add(X1,X2)),negate(add(X1,negate(X2)))))) = negate(negate(add(negate(negate(add(negate(c),X1))),negate(add(negate(c),add(negate(add(X1,X2)),negate(add(X1,negate(X2))))))))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.189.2.0','0.391.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1','L')]).
% 0.85/1.25  cnf('0.394.0.1',plain,
% 0.85/1.25      ( negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = negate(negate(add(negate(negate(add(negate(c),X1))),negate(add(negate(c),add(negate(add(X1,X2)),negate(add(X1,negate(X2))))))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.394.0.0','0.391.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1','L')]).
% 0.85/1.25  cnf('0.394.0.2',plain,
% 0.85/1.25      ( X1 = negate(negate(add(negate(negate(add(negate(c),X1))),negate(add(negate(c),add(negate(add(X1,X2)),negate(add(X1,negate(X2))))))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.394.0.1','0.1.2.0',theory(equality)]),
% 0.85/1.25      [pos('L','L')]).
% 0.85/1.25  cnf('0.394.0.3',plain,
% 0.85/1.25      ( X1 = negate(negate(add(negate(negate(X1)),negate(add(negate(c),add(negate(add(X1,X2)),negate(add(X1,negate(X2))))))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.394.0.2','0.391.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.1.1.1.1','L')]).
% 0.85/1.25  cnf('0.394.0.4',plain,
% 0.85/1.25      ( X1 = negate(negate(add(negate(negate(X1)),negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2)))))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.394.0.3','0.391.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.1.2.1','L')]).
% 0.85/1.25  cnf('0.394.0.5',plain,
% 0.85/1.25      ( X1 = negate(negate(add(negate(negate(X1)),X1))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.394.0.4','0.1.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.1.2','L')]).
% 0.85/1.25  cnf('0.394.1.0',plain,
% 0.85/1.25      ( X1 = negate(negate(add(negate(negate(X1)),X1))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.394.0.5']),
% 0.85/1.25      [weight('<19,391,189,[0,0,0,1]>')]).
% 0.85/1.25  cnf('0.394.1.1',plain,
% 0.85/1.25      ( X1 = negate(negate(add(X1,negate(negate(X1))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.394.1.0','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1.1','L')]).
% 0.85/1.25  cnf('0.394.2.0',plain,
% 0.85/1.25      ( negate(negate(add(X1,negate(negate(X1))))) = X1 ),
% 0.85/1.25      inference(orient,[status(thm)],['0.394.1.1',theory(equality)]),
% 0.85/1.25      [x,rule_391]).
% 0.85/1.25  cnf('0.395.0.0',plain,
% 0.85/1.25      ( negate(negate(X1)) = negate(add(negate(add(X1,negate(negate(X1)))),negate(c))) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.23.2.0','0.392.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1.2','L')]).
% 0.85/1.25  cnf('0.395.0.1',plain,
% 0.85/1.25      ( negate(negate(X1)) = negate(negate(add(X1,negate(negate(X1))))) ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.395.0.0','0.390.2.0',theory(equality)]),
% 0.85/1.25      [pos('R.1','L')]).
% 0.85/1.25  cnf('0.395.1.0',plain,
% 0.85/1.25      ( negate(negate(X1)) = negate(negate(add(X1,negate(negate(X1))))) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.395.0.1']),
% 0.85/1.25      [weight('<19,392,23,[0,0,0,6]>')]).
% 0.85/1.25  cnf('0.395.1.1',plain,
% 0.85/1.25      ( negate(negate(X1)) = X1 ),
% 0.85/1.25      inference(reduction,[status(thm)],['0.395.1.0','0.394.2.0',theory(equality)]),
% 0.85/1.25      [pos('R','L')]).
% 0.85/1.25  cnf('0.395.2.0',plain,
% 0.85/1.25      ( negate(negate(X1)) = X1 ),
% 0.85/1.25      inference(orient,[status(thm)],['0.395.1.1',theory(equality)]),
% 0.85/1.25      [u,rule_392]).
% 0.85/1.25  cnf('0.445.0.0',plain,
% 0.85/1.25      ( add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) = negate(X2) ),
% 0.85/1.25      inference(cp,[status(thm)],['0.395.2.0','0.14.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.1','L')]).
% 0.85/1.25  cnf('0.445.1.0',plain,
% 0.85/1.25      ( add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) = negate(X2) ),
% 0.85/1.25      inference(weigh,[status(thm)],['0.445.0.0']),
% 0.85/1.25      [weight('<38,395,14,[1,0,0,1]>')]).
% 0.85/1.25  cnf('0.445.2.0',plain,
% 0.85/1.25      ( add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) = negate(X2) ),
% 0.85/1.25      inference(orient,[status(thm)],['0.445.1.0',theory(equality)]),
% 0.85/1.25      [u,rule_442]).
% 0.85/1.25  cnf('1.0.0.0',conjecture,
% 0.85/1.25      ( add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) = b ),
% 0.85/1.25      file('/tmp/WALDMEISTER_31195_n021',conjecture_1)).
% 0.85/1.25  cnf('1.0.0.1',plain,
% 0.85/1.25      ( add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) = b ),
% 0.85/1.25      inference(reduction,[status(thm)],['1.0.0.0','0.2.2.0',theory(equality)]),
% 0.85/1.25      [pos('L.2.1','L')]).
% 0.85/1.25  cnf('1.0.0.2',plain,
% 0.85/1.25      ( negate(negate(b)) = b ),
% 0.85/1.25      inference(reduction,[status(thm)],['1.0.0.1','0.445.2.0',theory(equality)]),
% 0.85/1.25      [pos('L','L')]).
% 0.85/1.25  cnf('1.0.0.3',plain,
% 0.85/1.25      ( b = b ),
% 0.85/1.25      inference(reduction,[status(thm)],['1.0.0.2','0.395.2.0',theory(equality)]),
% 0.85/1.25      [pos('L','L')]).
% 0.85/1.25  cnf('1.0.0.4',plain,
% 0.85/1.25      ( $true ),
% 0.85/1.25      inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.85/1.25      [conjecture_1]).
% 0.85/1.25  
% 0.85/1.25  Proved Goals:
% 0.85/1.25  No.  1:  add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) ?= b joined, current: b = b
% 0.85/1.25  1 goal was specified, which was proved.
% 0.85/1.25  % SZS output end CNFRefutation
% 0.85/1.25  #END OF PROOF
% 0.85/1.25  
% 0.85/1.25  Problem         WALDMEISTER_31195_n021 
% 0.85/1.25  CPs.gen                29726 
% 0.85/1.25  CPs.reexp                  0 
% 0.85/1.25  Select                  1959 
% 0.85/1.25  R                        442 
% 0.85/1.25  E                          3 
% 0.85/1.25  vsize                   6.6M 
% 0.85/1.25  rss                     4.0M 
% 0.85/1.25  process.time          0.198s 
% 0.85/1.25  wallclock.time        0.198s 
% 0.85/1.25  status                     S
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  Waldmeister states: Goal proved.
% 0.85/1.25  % SZS status Unsatisfiable
%------------------------------------------------------------------------------