TSTP Solution File: GRP167-1 by Waldmeister---710

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Waldmeister---710
% Problem  : GRP167-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : woody %s

% Computer : n008.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 12:25:02 EDT 2022

% Result   : Unsatisfiable 0.82s 1.22s
% Output   : CNFRefutation 0.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : GRP167-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.11  % Command  : woody %s
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Mon Jun 13 10:01:52 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.56/0.95  ********************************************************************************
% 0.56/0.95  *                             W A L D M E I S T E R           \|  \ /      \|/ *
% 0.56/0.95  *                                                              |/  |    \/  |  *
% 0.56/0.95  *              (C) 1994-2010  A. Buch and Th. Hillenbrand,      \ /      \ /   *
% 0.56/0.95  *                             A. Jaeger and B. Loechner          |        |    *
% 0.56/0.95  *                             <waldmeister@informatik.uni-kl.de>          |    *
% 0.56/0.95  ********************************************************************************
% 0.56/0.95  
% 0.56/0.95  
% 0.56/0.95  Goals:
% 0.56/0.95  ------
% 0.56/0.95  
% 0.56/0.95  (   1)  multiply(positive_part(a),negative_part(a)) ?=? a
% 0.56/0.95  
% 0.56/0.95  Detected structure: VerbandsgeordneteGruppe
% 0.56/0.95  ********************************************************************************
% 0.56/0.95  ****************************** COMPLETION - PROOF ******************************
% 0.56/0.95  ********************************************************************************
% 0.56/0.95  
% 0.82/1.22  joined goal:           1  multiply(positive_part(a),negative_part(a)) ?= a to a
% 0.82/1.22  goal joined
% 0.82/1.22  % SZS status Unsatisfiable
% 0.82/1.22  #START OF PROOF
% 0.82/1.22  % SZS output start CNFRefutation
% 0.82/1.22  cnf('0.1.0.0',axiom,
% 0.82/1.22      ( X1 = least_upper_bound(X1,X1) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.1.1.0',plain,
% 0.82/1.22      ( X1 = least_upper_bound(X1,X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.1.0.0']),
% 0.82/1.22      [weight('<0,0,0,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.1.2.0',plain,
% 0.82/1.22      ( least_upper_bound(X1,X1) = X1 ),
% 0.82/1.22      inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_1]).
% 0.82/1.22  cnf('0.2.0.0',axiom,
% 0.82/1.22      ( X1 = least_upper_bound(X1,greatest_lower_bound(X1,X2)) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.2.1.0',plain,
% 0.82/1.22      ( X1 = least_upper_bound(X1,greatest_lower_bound(X1,X2)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.2.0.0']),
% 0.82/1.22      [weight('<1,0,0,[0,0,0,2]>')]).
% 0.82/1.22  cnf('0.2.2.0',plain,
% 0.82/1.22      ( least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1 ),
% 0.82/1.22      inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_2]).
% 0.82/1.22  cnf('0.4.0.0',axiom,
% 0.82/1.22      ( X1 = greatest_lower_bound(X1,least_upper_bound(X1,X2)) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.4.1.0',plain,
% 0.82/1.22      ( X1 = greatest_lower_bound(X1,least_upper_bound(X1,X2)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.4.0.0']),
% 0.82/1.22      [weight('<3,0,0,[0,0,0,4]>')]).
% 0.82/1.22  cnf('0.4.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1 ),
% 0.82/1.22      inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_4]).
% 0.82/1.22  cnf('0.5.0.0',axiom,
% 0.82/1.22      ( X1 = multiply(identity,X1) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.5.1.0',plain,
% 0.82/1.22      ( X1 = multiply(identity,X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.5.0.0']),
% 0.82/1.22      [weight('<4,0,0,[0,0,0,5]>')]).
% 0.82/1.22  cnf('0.5.2.0',plain,
% 0.82/1.22      ( multiply(identity,X1) = X1 ),
% 0.82/1.22      inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_5]).
% 0.82/1.22  cnf('0.6.0.0',axiom,
% 0.82/1.22      ( least_upper_bound(X1,X2) = least_upper_bound(X2,X1) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.6.1.0',plain,
% 0.82/1.22      ( least_upper_bound(X1,X2) = least_upper_bound(X2,X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.6.0.0']),
% 0.82/1.22      [weight('<5,0,0,[0,0,0,6]>')]).
% 0.82/1.22  cnf('0.6.2.0',plain,
% 0.82/1.22      ( least_upper_bound(X1,X2) = least_upper_bound(X2,X1) ),
% 0.82/1.22      inference(activate,[status(thm)],['0.6.1.0']),
% 0.82/1.22      [equation_1]).
% 0.82/1.22  cnf('0.7.0.0',axiom,
% 0.82/1.22      ( least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.7.1.0',plain,
% 0.82/1.22      ( least_upper_bound(X1,least_upper_bound(X2,X3)) = least_upper_bound(least_upper_bound(X1,X2),X3) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.7.0.0']),
% 0.82/1.22      [weight('<6,0,0,[0,0,0,7]>')]).
% 0.82/1.22  cnf('0.7.2.0',plain,
% 0.82/1.22      ( least_upper_bound(least_upper_bound(X1,X2),X3) = least_upper_bound(X1,least_upper_bound(X2,X3)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_6]).
% 0.82/1.22  cnf('0.9.0.0',axiom,
% 0.82/1.22      ( least_upper_bound(X1,identity) = positive_part(X1) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.9.1.0',plain,
% 0.82/1.22      ( least_upper_bound(X1,identity) = positive_part(X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.9.0.0']),
% 0.82/1.22      [weight('<8,0,0,[0,0,0,9]>')]).
% 0.82/1.22  cnf('0.9.2.0',plain,
% 0.82/1.22      ( least_upper_bound(X1,identity) = positive_part(X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_8]).
% 0.82/1.22  cnf('0.10.0.0',axiom,
% 0.82/1.22      ( least_upper_bound(greatest_lower_bound(X1,X2),greatest_lower_bound(X1,X3)) = greatest_lower_bound(X1,least_upper_bound(X2,X3)) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.10.1.0',plain,
% 0.82/1.22      ( least_upper_bound(greatest_lower_bound(X1,X2),greatest_lower_bound(X1,X3)) = greatest_lower_bound(X1,least_upper_bound(X2,X3)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.10.0.0']),
% 0.82/1.22      [weight('<9,0,0,[0,0,0,10]>')]).
% 0.82/1.22  cnf('0.10.2.0',plain,
% 0.82/1.22      ( least_upper_bound(greatest_lower_bound(X1,X2),greatest_lower_bound(X1,X3)) = greatest_lower_bound(X1,least_upper_bound(X2,X3)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_9]).
% 0.82/1.22  cnf('0.11.0.0',axiom,
% 0.82/1.22      ( least_upper_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(least_upper_bound(X1,X3),X2) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.11.1.0',plain,
% 0.82/1.22      ( least_upper_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(least_upper_bound(X1,X3),X2) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.11.0.0']),
% 0.82/1.22      [weight('<10,0,0,[0,0,0,11]>')]).
% 0.82/1.22  cnf('0.11.2.0',plain,
% 0.82/1.22      ( least_upper_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(least_upper_bound(X1,X3),X2) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_10]).
% 0.82/1.22  cnf('0.12.0.0',axiom,
% 0.82/1.22      ( least_upper_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,least_upper_bound(X2,X3)) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.12.1.0',plain,
% 0.82/1.22      ( least_upper_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,least_upper_bound(X2,X3)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.12.0.0']),
% 0.82/1.22      [weight('<11,0,0,[0,0,0,12]>')]).
% 0.82/1.22  cnf('0.12.2.0',plain,
% 0.82/1.22      ( least_upper_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,least_upper_bound(X2,X3)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_11]).
% 0.82/1.22  cnf('0.13.0.0',axiom,
% 0.82/1.22      ( greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.13.1.0',plain,
% 0.82/1.22      ( greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.13.0.0']),
% 0.82/1.22      [weight('<12,0,0,[0,0,0,13]>')]).
% 0.82/1.22  cnf('0.13.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1) ),
% 0.82/1.22      inference(activate,[status(thm)],['0.13.1.0']),
% 0.82/1.22      [equation_2]).
% 0.82/1.22  cnf('0.14.0.0',axiom,
% 0.82/1.22      ( greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(greatest_lower_bound(X1,X2),X3) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.14.1.0',plain,
% 0.82/1.22      ( greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(greatest_lower_bound(X1,X2),X3) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.14.0.0']),
% 0.82/1.22      [weight('<13,0,0,[0,0,0,14]>')]).
% 0.82/1.22  cnf('0.14.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(X1,greatest_lower_bound(X2,X3)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_12]).
% 0.82/1.22  cnf('0.15.0.0',axiom,
% 0.82/1.22      ( greatest_lower_bound(X1,identity) = negative_part(X1) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.15.1.0',plain,
% 0.82/1.22      ( greatest_lower_bound(X1,identity) = negative_part(X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.15.0.0']),
% 0.82/1.22      [weight('<14,0,0,[0,0,0,15]>')]).
% 0.82/1.22  cnf('0.15.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(X1,identity) = negative_part(X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_13]).
% 0.82/1.22  cnf('0.16.0.0',axiom,
% 0.82/1.22      ( greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.16.1.0',plain,
% 0.82/1.22      ( greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.16.0.0']),
% 0.82/1.22      [weight('<15,0,0,[0,0,0,16]>')]).
% 0.82/1.22  cnf('0.16.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_14]).
% 0.82/1.22  cnf('0.17.0.0',axiom,
% 0.82/1.22      ( greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,greatest_lower_bound(X2,X3)) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.17.1.0',plain,
% 0.82/1.22      ( greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,greatest_lower_bound(X2,X3)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.17.0.0']),
% 0.82/1.22      [weight('<16,0,0,[0,0,0,17]>')]).
% 0.82/1.22  cnf('0.17.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,greatest_lower_bound(X2,X3)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_15]).
% 0.82/1.22  cnf('0.18.0.0',axiom,
% 0.82/1.22      ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.18.1.0',plain,
% 0.82/1.22      ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.18.0.0']),
% 0.82/1.22      [weight('<17,0,0,[0,0,0,18]>')]).
% 0.82/1.22  cnf('0.18.2.0',plain,
% 0.82/1.22      ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_16]).
% 0.82/1.22  cnf('0.19.0.0',axiom,
% 0.82/1.22      ( multiply(inverse(X1),X1) = identity ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008')).
% 0.82/1.22  cnf('0.19.1.0',plain,
% 0.82/1.22      ( multiply(inverse(X1),X1) = identity ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.19.0.0']),
% 0.82/1.22      [weight('<18,0,0,[0,0,0,19]>')]).
% 0.82/1.22  cnf('0.19.2.0',plain,
% 0.82/1.22      ( multiply(inverse(X1),X1) = identity ),
% 0.82/1.22      inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_17]).
% 0.82/1.22  cnf('0.20.0.0',plain,
% 0.82/1.22      ( positive_part(identity) = identity ),
% 0.82/1.22      inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.20.1.0',plain,
% 0.82/1.22      ( positive_part(identity) = identity ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.20.0.0']),
% 0.82/1.22      [weight('<2,9,1,[1,0,0,0]>')]).
% 0.82/1.22  cnf('0.20.2.0',plain,
% 0.82/1.22      ( positive_part(identity) = identity ),
% 0.82/1.22      inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_18]).
% 0.82/1.22  cnf('0.22.0.0',plain,
% 0.82/1.22      ( positive_part(X1) = least_upper_bound(identity,X1) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.9.2.0','0.6.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.22.1.0',plain,
% 0.82/1.22      ( positive_part(X1) = least_upper_bound(identity,X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.22.0.0']),
% 0.82/1.22      [weight('<3,9,6,[1,0,0,0]>')]).
% 0.82/1.22  cnf('0.22.2.0',plain,
% 0.82/1.22      ( least_upper_bound(identity,X1) = positive_part(X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_20]).
% 0.82/1.22  cnf('0.23.0.0',plain,
% 0.82/1.22      ( negative_part(X1) = greatest_lower_bound(identity,X1) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.15.2.0','0.13.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.23.1.0',plain,
% 0.82/1.22      ( negative_part(X1) = greatest_lower_bound(identity,X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.23.0.0']),
% 0.82/1.22      [weight('<3,15,13,[1,0,0,0]>')]).
% 0.82/1.22  cnf('0.23.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(identity,X1) = negative_part(X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_21]).
% 0.82/1.22  cnf('0.24.0.0',plain,
% 0.82/1.22      ( identity = least_upper_bound(identity,negative_part(X1)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.2.2.0','0.23.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.24.0.1',plain,
% 0.82/1.22      ( identity = positive_part(negative_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.24.0.0','0.22.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.24.1.0',plain,
% 0.82/1.22      ( identity = positive_part(negative_part(X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.24.0.1']),
% 0.82/1.22      [weight('<3,23,2,[0,0,0,2]>')]).
% 0.82/1.22  cnf('0.24.2.0',plain,
% 0.82/1.22      ( positive_part(negative_part(X1)) = identity ),
% 0.82/1.22      inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_22]).
% 0.82/1.22  cnf('0.25.0.0',plain,
% 0.82/1.22      ( negative_part(least_upper_bound(identity,X1)) = identity ),
% 0.82/1.22      inference(cp,[status(thm)],['0.23.2.0','0.4.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.25.0.1',plain,
% 0.82/1.22      ( negative_part(positive_part(X1)) = identity ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.25.0.0','0.22.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.25.1.0',plain,
% 0.82/1.22      ( negative_part(positive_part(X1)) = identity ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.25.0.1']),
% 0.82/1.22      [weight('<3,23,4,[1,0,0,0]>')]).
% 0.82/1.22  cnf('0.25.2.0',plain,
% 0.82/1.22      ( negative_part(positive_part(X1)) = identity ),
% 0.82/1.22      inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_23]).
% 0.82/1.22  cnf('0.26.0.0',plain,
% 0.82/1.22      ( X1 = greatest_lower_bound(X1,positive_part(X1)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.4.2.0','0.9.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.26.1.0',plain,
% 0.82/1.22      ( X1 = greatest_lower_bound(X1,positive_part(X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.26.0.0']),
% 0.82/1.22      [weight('<4,9,4,[0,0,0,2]>')]).
% 0.82/1.22  cnf('0.26.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(X1,positive_part(X1)) = X1 ),
% 0.82/1.22      inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_24]).
% 0.82/1.22  cnf('0.27.0.0',plain,
% 0.82/1.22      ( negative_part(X1) = greatest_lower_bound(negative_part(X1),identity) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.26.2.0','0.24.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.27.0.1',plain,
% 0.82/1.22      ( negative_part(X1) = negative_part(negative_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.27.0.0','0.15.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.27.1.0',plain,
% 0.82/1.22      ( negative_part(X1) = negative_part(negative_part(X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.27.0.1']),
% 0.82/1.22      [weight('<3,26,24,[1,0,0,2]>')]).
% 0.82/1.22  cnf('0.27.2.0',plain,
% 0.82/1.22      ( negative_part(negative_part(X1)) = negative_part(X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_25]).
% 0.82/1.22  cnf('0.28.0.0',plain,
% 0.82/1.22      ( positive_part(least_upper_bound(X1,X2)) = least_upper_bound(X1,least_upper_bound(X2,identity)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.9.2.0','0.7.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.28.0.1',plain,
% 0.82/1.22      ( positive_part(least_upper_bound(X1,X2)) = least_upper_bound(X1,positive_part(X2)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.28.0.0','0.9.2.0',theory(equality)]),
% 0.82/1.22      [pos('R.2','L')]).
% 0.82/1.22  cnf('0.28.1.0',plain,
% 0.82/1.22      ( positive_part(least_upper_bound(X1,X2)) = least_upper_bound(X1,positive_part(X2)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.28.0.1']),
% 0.82/1.22      [weight('<4,9,7,[1,0,0,0]>')]).
% 0.82/1.22  cnf('0.28.2.0',plain,
% 0.82/1.22      ( least_upper_bound(X1,positive_part(X2)) = positive_part(least_upper_bound(X1,X2)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_26]).
% 0.82/1.22  cnf('0.29.0.0',plain,
% 0.82/1.22      ( positive_part(least_upper_bound(X1,identity)) = least_upper_bound(X1,identity) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.28.2.0','0.20.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.29.0.1',plain,
% 0.82/1.22      ( positive_part(positive_part(X1)) = least_upper_bound(X1,identity) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.29.0.0','0.9.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.29.0.2',plain,
% 0.82/1.22      ( positive_part(positive_part(X1)) = positive_part(X1) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.29.0.1','0.9.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.29.1.0',plain,
% 0.82/1.22      ( positive_part(positive_part(X1)) = positive_part(X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.29.0.2']),
% 0.82/1.22      [weight('<3,28,20,[1,0,0,2]>')]).
% 0.82/1.22  cnf('0.29.2.0',plain,
% 0.82/1.22      ( positive_part(positive_part(X1)) = positive_part(X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_27]).
% 0.82/1.22  cnf('0.33.0.0',plain,
% 0.82/1.22      ( greatest_lower_bound(identity,greatest_lower_bound(X1,X2)) = greatest_lower_bound(negative_part(X1),X2) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.14.2.0','0.23.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.33.0.1',plain,
% 0.82/1.22      ( negative_part(greatest_lower_bound(X1,X2)) = greatest_lower_bound(negative_part(X1),X2) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.33.0.0','0.23.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.33.1.0',plain,
% 0.82/1.22      ( negative_part(greatest_lower_bound(X1,X2)) = greatest_lower_bound(negative_part(X1),X2) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.33.0.1']),
% 0.82/1.22      [weight('<4,23,14,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.33.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(negative_part(X1),X2) = negative_part(greatest_lower_bound(X1,X2)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_31]).
% 0.82/1.22  cnf('0.37.0.0',plain,
% 0.82/1.22      ( multiply(least_upper_bound(X1,identity),X2) = least_upper_bound(multiply(X1,X2),X2) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.11.2.0','0.5.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.37.0.1',plain,
% 0.82/1.22      ( multiply(positive_part(X1),X2) = least_upper_bound(multiply(X1,X2),X2) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.37.0.0','0.9.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.37.1.0',plain,
% 0.82/1.22      ( multiply(positive_part(X1),X2) = least_upper_bound(multiply(X1,X2),X2) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.37.0.1']),
% 0.82/1.22      [weight('<5,11,5,[1,0,0,4]>')]).
% 0.82/1.22  cnf('0.37.1.1',plain,
% 0.82/1.22      ( multiply(positive_part(X1),X2) = least_upper_bound(X2,multiply(X1,X2)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.37.1.0','0.6.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.37.2.0',plain,
% 0.82/1.22      ( least_upper_bound(X1,multiply(X2,X1)) = multiply(positive_part(X2),X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.37.1.1',theory(equality)]),
% 0.82/1.22      [x,rule_35]).
% 0.82/1.22  cnf('0.38.0.0',plain,
% 0.82/1.22      ( multiply(positive_part(X1),identity) = positive_part(multiply(X1,identity)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.37.2.0','0.22.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.38.1.0',plain,
% 0.82/1.22      ( multiply(positive_part(X1),identity) = positive_part(multiply(X1,identity)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.38.0.0']),
% 0.82/1.22      [weight('<4,37,22,[1,0,0,0]>')]).
% 0.82/1.22  cnf('0.38.2.0',plain,
% 0.82/1.22      ( multiply(positive_part(X1),identity) = positive_part(multiply(X1,identity)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_36]).
% 0.82/1.22  cnf('0.39.0.0',plain,
% 0.82/1.22      ( multiply(positive_part(X1),multiply(identity,X2)) = multiply(positive_part(multiply(X1,identity)),X2) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.18.2.0','0.38.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.39.0.1',plain,
% 0.82/1.22      ( multiply(positive_part(X1),X2) = multiply(positive_part(multiply(X1,identity)),X2) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.39.0.0','0.5.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.39.1.0',plain,
% 0.82/1.22      ( positive_part(X1) = positive_part(multiply(X1,identity)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.39.0.1']),
% 0.82/1.22      [weight('<4,38,18,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.39.2.0',plain,
% 0.82/1.22      ( positive_part(multiply(X1,identity)) = positive_part(X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_37]).
% 0.82/1.22  cnf('0.44.0.0',plain,
% 0.82/1.22      ( multiply(greatest_lower_bound(X1,identity),X2) = greatest_lower_bound(multiply(X1,X2),X2) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.16.2.0','0.5.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.44.0.1',plain,
% 0.82/1.22      ( multiply(negative_part(X1),X2) = greatest_lower_bound(multiply(X1,X2),X2) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.44.0.0','0.15.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.44.1.0',plain,
% 0.82/1.22      ( multiply(negative_part(X1),X2) = greatest_lower_bound(multiply(X1,X2),X2) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.44.0.1']),
% 0.82/1.22      [weight('<5,16,5,[1,0,0,4]>')]).
% 0.82/1.22  cnf('0.44.1.1',plain,
% 0.82/1.22      ( multiply(negative_part(X1),X2) = greatest_lower_bound(X2,multiply(X1,X2)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.44.1.0','0.13.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.44.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(X1,multiply(X2,X1)) = multiply(negative_part(X2),X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.44.1.1',theory(equality)]),
% 0.82/1.22      [x,rule_42]).
% 0.82/1.22  cnf('0.50.0.0',plain,
% 0.82/1.22      ( greatest_lower_bound(identity,least_upper_bound(X1,X2)) = least_upper_bound(negative_part(X1),greatest_lower_bound(identity,X2)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.10.2.0','0.23.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.50.0.1',plain,
% 0.82/1.22      ( negative_part(least_upper_bound(X1,X2)) = least_upper_bound(negative_part(X1),greatest_lower_bound(identity,X2)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.50.0.0','0.23.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.50.0.2',plain,
% 0.82/1.22      ( negative_part(least_upper_bound(X1,X2)) = least_upper_bound(negative_part(X1),negative_part(X2)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.50.0.1','0.23.2.0',theory(equality)]),
% 0.82/1.22      [pos('R.2','L')]).
% 0.82/1.22  cnf('0.50.1.0',plain,
% 0.82/1.22      ( negative_part(least_upper_bound(X1,X2)) = least_upper_bound(negative_part(X1),negative_part(X2)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.50.0.2']),
% 0.82/1.22      [weight('<5,23,10,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.50.2.0',plain,
% 0.82/1.22      ( least_upper_bound(negative_part(X1),negative_part(X2)) = negative_part(least_upper_bound(X1,X2)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_48]).
% 0.82/1.22  cnf('0.54.0.0',plain,
% 0.82/1.22      ( negative_part(greatest_lower_bound(positive_part(X1),X2)) = greatest_lower_bound(identity,X2) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.33.2.0','0.25.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.54.0.1',plain,
% 0.82/1.22      ( negative_part(greatest_lower_bound(positive_part(X1),X2)) = negative_part(X2) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.54.0.0','0.23.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.54.1.0',plain,
% 0.82/1.22      ( negative_part(greatest_lower_bound(positive_part(X1),X2)) = negative_part(X2) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.54.0.1']),
% 0.82/1.22      [weight('<5,33,25,[1,0,0,1]>')]).
% 0.82/1.22  cnf('0.54.2.0',plain,
% 0.82/1.22      ( negative_part(greatest_lower_bound(positive_part(X1),X2)) = negative_part(X2) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_52]).
% 0.82/1.22  cnf('0.57.0.0',plain,
% 0.82/1.22      ( multiply(positive_part(inverse(X1)),X1) = least_upper_bound(X1,identity) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.37.2.0','0.19.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.57.0.1',plain,
% 0.82/1.22      ( multiply(positive_part(inverse(X1)),X1) = positive_part(X1) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.57.0.0','0.9.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.57.1.0',plain,
% 0.82/1.22      ( multiply(positive_part(inverse(X1)),X1) = positive_part(X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.57.0.1']),
% 0.82/1.22      [weight('<5,37,19,[1,0,0,2]>')]).
% 0.82/1.22  cnf('0.57.2.0',plain,
% 0.82/1.22      ( multiply(positive_part(inverse(X1)),X1) = positive_part(X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_55]).
% 0.82/1.22  cnf('0.58.0.0',plain,
% 0.82/1.22      ( multiply(negative_part(inverse(X1)),X1) = greatest_lower_bound(X1,identity) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.44.2.0','0.19.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.58.0.1',plain,
% 0.82/1.22      ( multiply(negative_part(inverse(X1)),X1) = negative_part(X1) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.58.0.0','0.15.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.58.1.0',plain,
% 0.82/1.22      ( multiply(negative_part(inverse(X1)),X1) = negative_part(X1) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.58.0.1']),
% 0.82/1.22      [weight('<5,44,19,[1,0,0,2]>')]).
% 0.82/1.22  cnf('0.58.2.0',plain,
% 0.82/1.22      ( multiply(negative_part(inverse(X1)),X1) = negative_part(X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_56]).
% 0.82/1.22  cnf('0.67.0.0',plain,
% 0.82/1.22      ( multiply(inverse(X1),least_upper_bound(X1,X2)) = least_upper_bound(identity,multiply(inverse(X1),X2)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.67.1.0',plain,
% 0.82/1.22      ( multiply(inverse(X1),least_upper_bound(X1,X2)) = least_upper_bound(identity,multiply(inverse(X1),X2)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.67.0.0']),
% 0.82/1.22      [weight('<6,19,12,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.67.1.1',plain,
% 0.82/1.22      ( multiply(inverse(X1),least_upper_bound(X1,X2)) = positive_part(multiply(inverse(X1),X2)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.67.1.0','0.22.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.67.2.0',plain,
% 0.82/1.22      ( multiply(inverse(X1),least_upper_bound(X1,X2)) = positive_part(multiply(inverse(X1),X2)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.67.1.1',theory(equality)]),
% 0.82/1.22      [u,rule_65]).
% 0.82/1.22  cnf('0.68.0.0',plain,
% 0.82/1.22      ( positive_part(multiply(inverse(X1),identity)) = multiply(inverse(X1),positive_part(X1)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.67.2.0','0.9.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.68.0.1',plain,
% 0.82/1.22      ( positive_part(inverse(X1)) = multiply(inverse(X1),positive_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.68.0.0','0.39.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.68.1.0',plain,
% 0.82/1.22      ( positive_part(inverse(X1)) = multiply(inverse(X1),positive_part(X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.68.0.1']),
% 0.82/1.22      [weight('<5,67,9,[1,0,0,3]>')]).
% 0.82/1.22  cnf('0.68.2.0',plain,
% 0.82/1.22      ( multiply(inverse(X1),positive_part(X1)) = positive_part(inverse(X1)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_66]).
% 0.82/1.22  cnf('0.86.0.0',plain,
% 0.82/1.22      ( multiply(inverse(X1),multiply(X1,X2)) = multiply(identity,X2) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.18.2.0','0.19.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.86.0.1',plain,
% 0.82/1.22      ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.86.0.0','0.5.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.86.1.0',plain,
% 0.82/1.22      ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.86.0.1']),
% 0.82/1.22      [weight('<6,19,18,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.86.2.0',plain,
% 0.82/1.22      ( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
% 0.82/1.22      inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_84]).
% 0.82/1.22  cnf('0.87.0.0',plain,
% 0.82/1.22      ( multiply(X1,X2) = multiply(inverse(inverse(X1)),X2) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.86.2.0','0.86.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.87.1.0',plain,
% 0.82/1.22      ( X1 = inverse(inverse(X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.87.0.0']),
% 0.82/1.22      [weight('<3,86,86,[0,0,0,3]>')]).
% 0.82/1.22  cnf('0.87.2.0',plain,
% 0.82/1.22      ( inverse(inverse(X1)) = X1 ),
% 0.82/1.22      inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_85]).
% 0.82/1.22  cnf('0.88.0.0',plain,
% 0.82/1.22      ( identity = multiply(X1,inverse(X1)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.19.2.0','0.87.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.88.1.0',plain,
% 0.82/1.22      ( identity = multiply(X1,inverse(X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.88.0.0']),
% 0.82/1.22      [weight('<4,87,19,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.88.2.0',plain,
% 0.82/1.22      ( multiply(X1,inverse(X1)) = identity ),
% 0.82/1.22      inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_86]).
% 0.82/1.22  cnf('0.89.0.0',plain,
% 0.82/1.22      ( inverse(X1) = multiply(inverse(X1),identity) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.86.2.0','0.88.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.89.1.0',plain,
% 0.82/1.22      ( inverse(X1) = multiply(inverse(X1),identity) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.89.0.0']),
% 0.82/1.22      [weight('<4,88,86,[0,0,0,3]>')]).
% 0.82/1.22  cnf('0.89.2.0',plain,
% 0.82/1.22      ( multiply(inverse(X1),identity) = inverse(X1) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_87]).
% 0.82/1.22  cnf('0.90.0.0',plain,
% 0.82/1.22      ( inverse(inverse(X1)) = multiply(X1,identity) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.89.2.0','0.87.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.90.0.1',plain,
% 0.82/1.22      ( X1 = multiply(X1,identity) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.90.0.0','0.87.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.90.1.0',plain,
% 0.82/1.22      ( X1 = multiply(X1,identity) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.90.0.1']),
% 0.82/1.22      [weight('<3,89,87,[1,0,0,1]>')]).
% 0.82/1.22  cnf('0.90.2.0',plain,
% 0.82/1.22      ( multiply(X1,identity) = X1 ),
% 0.82/1.22      inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_88]).
% 0.82/1.22  cnf('0.92.0.0',plain,
% 0.82/1.22      ( negative_part(inverse(X1)) = multiply(negative_part(X1),inverse(X1)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.58.2.0','0.87.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1.1','L')]).
% 0.82/1.22  cnf('0.92.1.0',plain,
% 0.82/1.22      ( negative_part(inverse(X1)) = multiply(negative_part(X1),inverse(X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.92.0.0']),
% 0.82/1.22      [weight('<5,87,58,[0,0,0,2]>')]).
% 0.82/1.22  cnf('0.92.2.0',plain,
% 0.82/1.22      ( multiply(negative_part(X1),inverse(X1)) = negative_part(inverse(X1)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_90]).
% 0.82/1.22  cnf('0.95.0.0',plain,
% 0.82/1.22      ( multiply(X1,least_upper_bound(identity,X2)) = least_upper_bound(X1,multiply(X1,X2)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.12.2.0','0.90.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.95.0.1',plain,
% 0.82/1.22      ( multiply(X1,positive_part(X2)) = least_upper_bound(X1,multiply(X1,X2)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.95.0.0','0.22.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.95.1.0',plain,
% 0.82/1.22      ( multiply(X1,positive_part(X2)) = least_upper_bound(X1,multiply(X1,X2)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.95.0.1']),
% 0.82/1.22      [weight('<5,90,12,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.95.2.0',plain,
% 0.82/1.22      ( least_upper_bound(X1,multiply(X1,X2)) = multiply(X1,positive_part(X2)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_93]).
% 0.82/1.22  cnf('0.96.0.0',plain,
% 0.82/1.22      ( multiply(multiply(X1,X2),positive_part(X2)) = multiply(least_upper_bound(X1,multiply(X1,X2)),X2) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.95.2.0','0.11.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.96.0.1',plain,
% 0.82/1.22      ( multiply(X1,multiply(X2,positive_part(X2))) = multiply(least_upper_bound(X1,multiply(X1,X2)),X2) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.96.0.0','0.18.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.96.0.2',plain,
% 0.82/1.22      ( multiply(X1,multiply(X2,positive_part(X2))) = multiply(multiply(X1,positive_part(X2)),X2) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.96.0.1','0.95.2.0',theory(equality)]),
% 0.82/1.22      [pos('R.1','L')]).
% 0.82/1.22  cnf('0.96.0.3',plain,
% 0.82/1.22      ( multiply(X1,multiply(X2,positive_part(X2))) = multiply(X1,multiply(positive_part(X2),X2)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.96.0.2','0.18.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.96.1.0',plain,
% 0.82/1.22      ( multiply(X2,positive_part(X2)) = multiply(positive_part(X2),X2) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.96.0.3']),
% 0.82/1.22      [weight('<4,95,11,[1,0,0,0]>')]).
% 0.82/1.22  cnf('0.96.2.0',plain,
% 0.82/1.22      ( multiply(positive_part(X1),X1) = multiply(X1,positive_part(X1)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_94]).
% 0.82/1.22  cnf('0.97.0.0',plain,
% 0.82/1.22      ( multiply(X1,greatest_lower_bound(identity,X2)) = greatest_lower_bound(X1,multiply(X1,X2)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.17.2.0','0.90.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.97.0.1',plain,
% 0.82/1.22      ( multiply(X1,negative_part(X2)) = greatest_lower_bound(X1,multiply(X1,X2)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.97.0.0','0.23.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.97.1.0',plain,
% 0.82/1.22      ( multiply(X1,negative_part(X2)) = greatest_lower_bound(X1,multiply(X1,X2)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.97.0.1']),
% 0.82/1.22      [weight('<5,90,17,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.97.2.0',plain,
% 0.82/1.22      ( greatest_lower_bound(X1,multiply(X1,X2)) = multiply(X1,negative_part(X2)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_95]).
% 0.82/1.22  cnf('0.100.0.0',plain,
% 0.82/1.22      ( multiply(positive_part(X1),negative_part(X1)) = greatest_lower_bound(positive_part(X1),multiply(X1,positive_part(X1))) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.97.2.0','0.96.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.100.0.1',plain,
% 0.82/1.22      ( multiply(positive_part(X1),negative_part(X1)) = multiply(negative_part(X1),positive_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.100.0.0','0.44.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.100.1.0',plain,
% 0.82/1.22      ( multiply(positive_part(X1),negative_part(X1)) = multiply(negative_part(X1),positive_part(X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.100.0.1']),
% 0.82/1.22      [weight('<5,97,96,[1,0,0,2]>')]).
% 0.82/1.22  cnf('0.100.2.0',plain,
% 0.82/1.22      ( multiply(positive_part(X1),negative_part(X1)) = multiply(negative_part(X1),positive_part(X1)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_98]).
% 0.82/1.22  cnf('0.111.0.0',plain,
% 0.82/1.22      ( negative_part(multiply(X1,positive_part(X2))) = negative_part(multiply(negative_part(X1),positive_part(X2))) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.54.2.0','0.44.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.111.1.0',plain,
% 0.82/1.22      ( negative_part(multiply(X1,positive_part(X2))) = negative_part(multiply(negative_part(X1),positive_part(X2))) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.111.0.0']),
% 0.82/1.22      [weight('<6,54,44,[1,0,0,1]>')]).
% 0.82/1.22  cnf('0.111.2.0',plain,
% 0.82/1.22      ( negative_part(multiply(negative_part(X1),positive_part(X2))) = negative_part(multiply(X1,positive_part(X2))) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_109]).
% 0.82/1.22  cnf('0.161.0.0',plain,
% 0.82/1.22      ( multiply(negative_part(inverse(X1)),positive_part(X1)) = least_upper_bound(negative_part(inverse(X1)),negative_part(X1)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.95.2.0','0.58.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.161.0.1',plain,
% 0.82/1.22      ( multiply(negative_part(inverse(X1)),positive_part(X1)) = negative_part(least_upper_bound(inverse(X1),X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.161.0.0','0.50.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.161.1.0',plain,
% 0.82/1.22      ( multiply(negative_part(inverse(X1)),positive_part(X1)) = negative_part(least_upper_bound(inverse(X1),X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.161.0.1']),
% 0.82/1.22      [weight('<6,95,58,[1,0,0,2]>')]).
% 0.82/1.22  cnf('0.161.1.1',plain,
% 0.82/1.22      ( multiply(negative_part(inverse(X1)),positive_part(X1)) = negative_part(least_upper_bound(X1,inverse(X1))) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.161.1.0','0.6.2.0',theory(equality)]),
% 0.82/1.22      [pos('R.1','L')]).
% 0.82/1.22  cnf('0.161.2.0',plain,
% 0.82/1.22      ( multiply(negative_part(inverse(X1)),positive_part(X1)) = negative_part(least_upper_bound(X1,inverse(X1))) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.161.1.1',theory(equality)]),
% 0.82/1.22      [u,rule_159]).
% 0.82/1.22  cnf('0.162.0.0',plain,
% 0.82/1.22      ( negative_part(multiply(inverse(X1),positive_part(X1))) = negative_part(negative_part(least_upper_bound(X1,inverse(X1)))) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.111.2.0','0.161.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.162.0.1',plain,
% 0.82/1.22      ( negative_part(positive_part(inverse(X1))) = negative_part(negative_part(least_upper_bound(X1,inverse(X1)))) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.162.0.0','0.68.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.162.0.2',plain,
% 0.82/1.22      ( identity = negative_part(negative_part(least_upper_bound(X1,inverse(X1)))) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.162.0.1','0.25.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.162.0.3',plain,
% 0.82/1.22      ( identity = negative_part(least_upper_bound(X1,inverse(X1))) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.162.0.2','0.27.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.162.1.0',plain,
% 0.82/1.22      ( identity = negative_part(least_upper_bound(X1,inverse(X1))) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.162.0.3']),
% 0.82/1.22      [weight('<5,161,111,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.162.2.0',plain,
% 0.82/1.22      ( negative_part(least_upper_bound(X1,inverse(X1))) = identity ),
% 0.82/1.22      inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_160]).
% 0.82/1.22  cnf('0.168.0.0',plain,
% 0.82/1.22      ( multiply(negative_part(X1),positive_part(inverse(X1))) = least_upper_bound(negative_part(X1),negative_part(inverse(X1))) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.95.2.0','0.92.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.168.0.1',plain,
% 0.82/1.22      ( multiply(negative_part(X1),positive_part(inverse(X1))) = negative_part(least_upper_bound(X1,inverse(X1))) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.168.0.0','0.50.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.168.1.0',plain,
% 0.82/1.22      ( multiply(negative_part(X1),positive_part(inverse(X1))) = negative_part(least_upper_bound(X1,inverse(X1))) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.168.0.1']),
% 0.82/1.22      [weight('<6,95,92,[1,0,0,2]>')]).
% 0.82/1.22  cnf('0.168.1.1',plain,
% 0.82/1.22      ( multiply(negative_part(X1),positive_part(inverse(X1))) = identity ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.168.1.0','0.162.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.168.2.0',plain,
% 0.82/1.22      ( multiply(negative_part(X1),positive_part(inverse(X1))) = identity ),
% 0.82/1.22      inference(orient,[status(thm)],['0.168.1.1',theory(equality)]),
% 0.82/1.22      [u,rule_166]).
% 0.82/1.22  cnf('0.169.0.0',plain,
% 0.82/1.22      ( positive_part(inverse(X1)) = multiply(inverse(negative_part(X1)),identity) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.86.2.0','0.168.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.169.0.1',plain,
% 0.82/1.22      ( positive_part(inverse(X1)) = inverse(negative_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.169.0.0','0.90.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.169.1.0',plain,
% 0.82/1.22      ( positive_part(inverse(X1)) = inverse(negative_part(X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.169.0.1']),
% 0.82/1.22      [weight('<3,168,86,[0,0,0,3]>')]).
% 0.82/1.22  cnf('0.169.2.0',plain,
% 0.82/1.22      ( inverse(negative_part(X1)) = positive_part(inverse(X1)) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.169.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_167]).
% 0.82/1.22  cnf('0.263.0.0',plain,
% 0.82/1.22      ( multiply(positive_part(inverse(X1)),multiply(X1,X2)) = multiply(positive_part(X1),X2) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.18.2.0','0.57.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.263.1.0',plain,
% 0.82/1.22      ( multiply(positive_part(inverse(X1)),multiply(X1,X2)) = multiply(positive_part(X1),X2) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.263.0.0']),
% 0.82/1.22      [weight('<7,57,18,[0,0,0,1]>')]).
% 0.82/1.22  cnf('0.263.2.0',plain,
% 0.82/1.22      ( multiply(positive_part(inverse(X1)),multiply(X1,X2)) = multiply(positive_part(X1),X2) ),
% 0.82/1.22      inference(orient,[status(thm)],['0.263.1.0',theory(equality)]),
% 0.82/1.22      [u,rule_261]).
% 0.82/1.22  cnf('0.264.0.0',plain,
% 0.82/1.22      ( multiply(positive_part(negative_part(inverse(X1))),X1) = multiply(positive_part(inverse(negative_part(inverse(X1)))),negative_part(X1)) ),
% 0.82/1.22      inference(cp,[status(thm)],['0.263.2.0','0.58.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.2','L')]).
% 0.82/1.22  cnf('0.264.0.1',plain,
% 0.82/1.22      ( multiply(identity,X1) = multiply(positive_part(inverse(negative_part(inverse(X1)))),negative_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.264.0.0','0.24.2.0',theory(equality)]),
% 0.82/1.22      [pos('L.1','L')]).
% 0.82/1.22  cnf('0.264.0.2',plain,
% 0.82/1.22      ( X1 = multiply(positive_part(inverse(negative_part(inverse(X1)))),negative_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.264.0.1','0.5.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('0.264.0.3',plain,
% 0.82/1.22      ( X1 = multiply(positive_part(positive_part(inverse(inverse(X1)))),negative_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.264.0.2','0.169.2.0',theory(equality)]),
% 0.82/1.22      [pos('R.1.1','L')]).
% 0.82/1.22  cnf('0.264.0.4',plain,
% 0.82/1.22      ( X1 = multiply(positive_part(inverse(inverse(X1))),negative_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.264.0.3','0.29.2.0',theory(equality)]),
% 0.82/1.22      [pos('R.1','L')]).
% 0.82/1.22  cnf('0.264.0.5',plain,
% 0.82/1.22      ( X1 = multiply(positive_part(X1),negative_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.264.0.4','0.87.2.0',theory(equality)]),
% 0.82/1.22      [pos('R.1.1','L')]).
% 0.82/1.22  cnf('0.264.0.6',plain,
% 0.82/1.22      ( X1 = multiply(negative_part(X1),positive_part(X1)) ),
% 0.82/1.22      inference(reduction,[status(thm)],['0.264.0.5','0.100.2.0',theory(equality)]),
% 0.82/1.22      [pos('R','L')]).
% 0.82/1.22  cnf('0.264.1.0',plain,
% 0.82/1.22      ( X1 = multiply(negative_part(X1),positive_part(X1)) ),
% 0.82/1.22      inference(weigh,[status(thm)],['0.264.0.6']),
% 0.82/1.22      [weight('<5,263,58,[1,0,0,4]>')]).
% 0.82/1.22  cnf('0.264.2.0',plain,
% 0.82/1.22      ( multiply(negative_part(X1),positive_part(X1)) = X1 ),
% 0.82/1.22      inference(orient,[status(thm)],['0.264.1.0',theory(equality)]),
% 0.82/1.22      [x,rule_262]).
% 0.82/1.22  cnf('1.0.0.0',conjecture,
% 0.82/1.22      ( multiply(positive_part(a),negative_part(a)) = a ),
% 0.82/1.22      file('/tmp/WALDMEISTER_14390_n008',conjecture_1)).
% 0.82/1.22  cnf('1.0.0.1',plain,
% 0.82/1.22      ( multiply(negative_part(a),positive_part(a)) = a ),
% 0.82/1.22      inference(reduction,[status(thm)],['1.0.0.0','0.100.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('1.0.0.2',plain,
% 0.82/1.22      ( a = a ),
% 0.82/1.22      inference(reduction,[status(thm)],['1.0.0.1','0.264.2.0',theory(equality)]),
% 0.82/1.22      [pos('L','L')]).
% 0.82/1.22  cnf('1.0.0.3',plain,
% 0.82/1.22      ( $true ),
% 0.82/1.22      inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.82/1.22      [conjecture_1]).
% 0.82/1.22  
% 0.82/1.22  Proved Goals:
% 0.82/1.22  No.  1:  multiply(positive_part(a),negative_part(a)) ?= a joined, current: a = a
% 0.82/1.22  1 goal was specified, which was proved.
% 0.82/1.22  % SZS output end CNFRefutation
% 0.82/1.22  #END OF PROOF
% 0.82/1.22  
% 0.82/1.22  Problem         WALDMEISTER_14390_n008 
% 0.82/1.22  CPs.gen                13221 
% 0.82/1.22  CPs.reexp                  0 
% 0.82/1.22  Select                   622 
% 0.82/1.22  R                        262 
% 0.82/1.22  E                          2 
% 0.82/1.22  vsize                   6.5M 
% 0.82/1.22  rss                     4.0M 
% 0.82/1.22  process.time          0.058s 
% 0.82/1.22  wallclock.time        0.274s 
% 0.82/1.22  status                     S
% 0.82/1.22  
% 0.82/1.22  
% 0.82/1.22  Waldmeister states: Goal proved.
% 0.82/1.22  % SZS status Unsatisfiable
% 0.82/1.22  
% 0.82/1.22  Problem         WALDMEISTER_14390_n008 
% 0.82/1.22  CPs.gen                64733 
% 0.82/1.22  CPs.reexp                  0 
% 0.82/1.22  Select                  6038 
% 0.82/1.22  R                        525 
% 0.82/1.22  E                         11 
% 0.82/1.22  vsize                   7.2M 
% 0.82/1.22  rss                     4.4M 
% 0.82/1.22  process.time          0.216s 
% 0.82/1.22  wallclock.time        0.275s 
% 0.82/1.22  status                     S
%------------------------------------------------------------------------------