TSTP Solution File: BOO017-2 by Waldmeister---710

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Waldmeister---710
% Problem  : BOO017-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : woody %s

% Computer : n018.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 : Thu Jul 14 23:52:51 EDT 2022

% Result   : Unsatisfiable 0.57s 0.97s
% Output   : CNFRefutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : BOO017-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command  : woody %s
% 0.13/0.33  % Computer : n018.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
% 0.19/0.33  % CPULimit : 300
% 0.19/0.33  % WCLimit  : 600
% 0.19/0.33  % DateTime : Wed Jun  1 20:31:14 EDT 2022
% 0.19/0.33  % CPUTime  : 
% 0.57/0.97  ********************************************************************************
% 0.57/0.97  *                             W A L D M E I S T E R           \|  \ /      \|/ *
% 0.57/0.97  *                                                              |/  |    \/  |  *
% 0.57/0.97  *              (C) 1994-2010  A. Buch and Th. Hillenbrand,      \ /      \ /   *
% 0.57/0.97  *                             A. Jaeger and B. Loechner          |        |    *
% 0.57/0.97  *                             <waldmeister@informatik.uni-kl.de>          |    *
% 0.57/0.97  ********************************************************************************
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  Goals:
% 0.57/0.97  ------
% 0.57/0.97  
% 0.57/0.97  (   1)  multiply(x,z) ?=? x
% 0.57/0.97  
% 0.57/0.97  Detected structure: BoolescheAlgebra
% 0.57/0.97  ********************************************************************************
% 0.57/0.97  ****************************** COMPLETION - PROOF ******************************
% 0.57/0.97  ********************************************************************************
% 0.57/0.97  
% 0.57/0.97  joined goal:           1  multiply(x,z) ?= x to x
% 0.57/0.97  goal joined
% 0.57/0.97  % SZS status Unsatisfiable
% 0.57/0.97  #START OF PROOF
% 0.57/0.97  % SZS output start CNFRefutation
% 0.57/0.97  cnf('0.1.0.0',axiom,
% 0.57/0.97      ( X1 = add(X1,additive_identity) ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.1.1.0',plain,
% 0.57/0.97      ( X1 = add(X1,additive_identity) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.97      [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.97  cnf('0.1.2.0',plain,
% 0.57/0.97      ( add(X1,additive_identity) = X1 ),
% 0.57/0.97      inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.97      [x,rule_1]).
% 0.57/0.97  cnf('0.2.0.0',axiom,
% 0.57/0.97      ( X1 = add(additive_identity,X1) ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.2.1.0',plain,
% 0.57/0.97      ( X1 = add(additive_identity,X1) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.97      [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.97  cnf('0.2.2.0',plain,
% 0.57/0.97      ( add(additive_identity,X1) = X1 ),
% 0.57/0.97      inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.97      [x,rule_2]).
% 0.57/0.97  cnf('0.3.0.0',axiom,
% 0.57/0.97      ( X1 = multiply(X1,multiplicative_identity) ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.3.1.0',plain,
% 0.57/0.97      ( X1 = multiply(X1,multiplicative_identity) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.97      [weight('<2,0,0,[0,0,0,3]>')]).
% 0.57/0.97  cnf('0.3.2.0',plain,
% 0.57/0.97      ( multiply(X1,multiplicative_identity) = X1 ),
% 0.57/0.97      inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.97      [x,rule_3]).
% 0.57/0.97  cnf('0.4.0.0',axiom,
% 0.57/0.97      ( X1 = multiply(multiplicative_identity,X1) ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.4.1.0',plain,
% 0.57/0.97      ( X1 = multiply(multiplicative_identity,X1) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.97      [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.97  cnf('0.4.2.0',plain,
% 0.57/0.97      ( multiply(multiplicative_identity,X1) = X1 ),
% 0.57/0.97      inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.57/0.97      [x,rule_4]).
% 0.57/0.97  cnf('0.5.0.0',axiom,
% 0.57/0.97      ( add(X1,X2) = add(X2,X1) ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.5.1.0',plain,
% 0.57/0.97      ( add(X1,X2) = add(X2,X1) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.97      [weight('<4,0,0,[0,0,0,5]>')]).
% 0.57/0.97  cnf('0.5.2.0',plain,
% 0.57/0.97      ( add(X1,X2) = add(X2,X1) ),
% 0.57/0.97      inference(activate,[status(thm)],['0.5.1.0']),
% 0.57/0.97      [equation_1]).
% 0.57/0.97  cnf('0.6.0.0',axiom,
% 0.57/0.97      ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.6.1.0',plain,
% 0.57/0.97      ( add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.97      [weight('<5,0,0,[0,0,0,6]>')]).
% 0.57/0.97  cnf('0.6.2.0',plain,
% 0.57/0.97      ( multiply(add(X1,X2),add(X1,X3)) = add(X1,multiply(X2,X3)) ),
% 0.57/0.97      inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.97      [x,rule_5]).
% 0.57/0.97  cnf('0.7.0.0',axiom,
% 0.57/0.97      ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.7.1.0',plain,
% 0.57/0.97      ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.7.0.0']),
% 0.57/0.97      [weight('<6,0,0,[0,0,0,7]>')]).
% 0.57/0.97  cnf('0.7.2.0',plain,
% 0.57/0.97      ( add(X1,inverse(X1)) = multiplicative_identity ),
% 0.57/0.97      inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/0.97      [u,rule_6]).
% 0.57/0.97  cnf('0.8.0.0',axiom,
% 0.57/0.97      ( add(multiply(X1,X2),X3) = multiply(add(X1,X3),add(X2,X3)) ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.8.1.0',plain,
% 0.57/0.97      ( add(multiply(X1,X2),X3) = multiply(add(X1,X3),add(X2,X3)) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.8.0.0']),
% 0.57/0.97      [weight('<7,0,0,[0,0,0,8]>')]).
% 0.57/0.97  cnf('0.8.2.0',plain,
% 0.57/0.97      ( multiply(add(X1,X2),add(X3,X2)) = add(multiply(X1,X3),X2) ),
% 0.57/0.97      inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.57/0.97      [x,rule_7]).
% 0.57/0.97  cnf('0.9.0.0',axiom,
% 0.57/0.97      ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.9.1.0',plain,
% 0.57/0.97      ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.97      [weight('<8,0,0,[0,0,0,9]>')]).
% 0.57/0.97  cnf('0.9.2.0',plain,
% 0.57/0.97      ( add(multiply(X1,X2),multiply(X3,X2)) = multiply(add(X1,X3),X2) ),
% 0.57/0.97      inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.97      [u,rule_8]).
% 0.57/0.97  cnf('0.11.0.0',axiom,
% 0.57/0.97      ( add(x,y) = z ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.11.1.0',plain,
% 0.57/0.97      ( add(x,y) = z ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.11.0.0']),
% 0.57/0.97      [weight('<11,0,0,[0,0,0,12]>')]).
% 0.57/0.97  cnf('0.11.1.1',plain,
% 0.57/0.97      ( add(y,x) = z ),
% 0.57/0.97      inference(reduction,[status(thm)],['0.11.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.97      [pos('L','L')]).
% 0.57/0.97  cnf('0.11.2.0',plain,
% 0.57/0.97      ( add(y,x) = z ),
% 0.57/0.97      inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 0.57/0.97      [u,rule_10]).
% 0.57/0.97  cnf('0.12.0.0',axiom,
% 0.57/0.97      ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018')).
% 0.57/0.97  cnf('0.12.1.0',plain,
% 0.57/0.97      ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.12.0.0']),
% 0.57/0.97      [weight('<12,0,0,[0,0,0,13]>')]).
% 0.57/0.97  cnf('0.12.2.0',plain,
% 0.57/0.97      ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.57/0.97      inference(activate,[status(thm)],['0.12.1.0']),
% 0.57/0.97      [equation_2]).
% 0.57/0.97  cnf('0.16.0.0',plain,
% 0.57/0.97      ( multiply(add(multiplicative_identity,X1),X2) = add(X2,multiply(X1,X2)) ),
% 0.57/0.97      inference(cp,[status(thm)],['0.9.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.97      [pos('L.1','L')]).
% 0.57/0.97  cnf('0.16.1.0',plain,
% 0.57/0.97      ( multiply(add(multiplicative_identity,X1),X2) = add(X2,multiply(X1,X2)) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.16.0.0']),
% 0.57/0.97      [weight('<5,9,4,[1,0,0,1]>')]).
% 0.57/0.97  cnf('0.16.2.0',plain,
% 0.57/0.97      ( add(X1,multiply(X2,X1)) = multiply(add(multiplicative_identity,X2),X1) ),
% 0.57/0.97      inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.57/0.97      [x,rule_14]).
% 0.57/0.97  cnf('0.20.0.0',plain,
% 0.57/0.97      ( add(multiply(y,X1),x) = multiply(z,add(X1,x)) ),
% 0.57/0.97      inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.97      [pos('L.1','L')]).
% 0.57/0.97  cnf('0.20.1.0',plain,
% 0.57/0.97      ( add(multiply(y,X1),x) = multiply(z,add(X1,x)) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.20.0.0']),
% 0.57/0.97      [weight('<5,11,8,[0,0,0,1]>')]).
% 0.57/0.97  cnf('0.20.1.1',plain,
% 0.57/0.97      ( add(x,multiply(y,X1)) = multiply(z,add(X1,x)) ),
% 0.57/0.97      inference(reduction,[status(thm)],['0.20.1.0','0.5.2.0',theory(equality)]),
% 0.57/0.97      [pos('L','L')]).
% 0.57/0.97  cnf('0.20.2.0',plain,
% 0.57/0.97      ( add(x,multiply(y,X1)) = multiply(z,add(X1,x)) ),
% 0.57/0.97      inference(orient,[status(thm)],['0.20.1.1',theory(equality)]),
% 0.57/0.97      [u,rule_18]).
% 0.57/0.97  cnf('0.22.0.0',plain,
% 0.57/0.97      ( multiply(add(multiplicative_identity,X1),additive_identity) = multiply(X1,additive_identity) ),
% 0.57/0.97      inference(cp,[status(thm)],['0.16.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.97      [pos('L','L')]).
% 0.57/0.97  cnf('0.22.1.0',plain,
% 0.57/0.97      ( multiply(add(multiplicative_identity,X1),additive_identity) = multiply(X1,additive_identity) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.22.0.0']),
% 0.57/0.97      [weight('<5,16,2,[1,0,0,0]>')]).
% 0.57/0.97  cnf('0.22.1.1',plain,
% 0.57/0.97      ( multiply(additive_identity,add(multiplicative_identity,X1)) = multiply(X1,additive_identity) ),
% 0.57/0.97      inference(reduction,[status(thm)],['0.22.1.0','0.12.2.0',theory(equality)]),
% 0.57/0.97      [pos('L','L')]).
% 0.57/0.97  cnf('0.22.2.0',plain,
% 0.57/0.97      ( multiply(additive_identity,add(multiplicative_identity,X1)) = multiply(X1,additive_identity) ),
% 0.57/0.97      inference(orient,[status(thm)],['0.22.1.1',theory(equality)]),
% 0.57/0.97      [u,rule_20]).
% 0.57/0.97  cnf('0.28.0.0',plain,
% 0.57/0.97      ( multiply(X1,additive_identity) = multiply(additive_identity,add(X1,multiplicative_identity)) ),
% 0.57/0.97      inference(cp,[status(thm)],['0.22.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.97      [pos('L.2','L')]).
% 0.57/0.97  cnf('0.28.1.0',plain,
% 0.57/0.97      ( multiply(X1,additive_identity) = multiply(additive_identity,add(X1,multiplicative_identity)) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.28.0.0']),
% 0.57/0.97      [weight('<5,22,5,[1,0,0,2]>')]).
% 0.57/0.97  cnf('0.28.2.0',plain,
% 0.57/0.97      ( multiply(additive_identity,add(X1,multiplicative_identity)) = multiply(X1,additive_identity) ),
% 0.57/0.97      inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.57/0.97      [x,rule_26]).
% 0.57/0.97  cnf('0.29.0.0',plain,
% 0.57/0.97      ( add(X1,multiply(inverse(X1),X2)) = multiply(multiplicative_identity,add(X1,X2)) ),
% 0.57/0.97      inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.97      [pos('L.1','L')]).
% 0.57/0.97  cnf('0.29.0.1',plain,
% 0.57/0.97      ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.57/0.97      inference(reduction,[status(thm)],['0.29.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.97      [pos('R','L')]).
% 0.57/0.97  cnf('0.29.1.0',plain,
% 0.57/0.97      ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.29.0.1']),
% 0.57/0.97      [weight('<6,7,6,[0,0,0,1]>')]).
% 0.57/0.97  cnf('0.29.2.0',plain,
% 0.57/0.97      ( add(X1,multiply(inverse(X1),X2)) = add(X1,X2) ),
% 0.57/0.97      inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.57/0.97      [u,rule_27]).
% 0.57/0.97  cnf('0.30.0.0',plain,
% 0.57/0.97      ( add(X1,multiplicative_identity) = add(X1,inverse(X1)) ),
% 0.57/0.97      inference(cp,[status(thm)],['0.29.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.97      [pos('L.2','L')]).
% 0.57/0.97  cnf('0.30.0.1',plain,
% 0.57/0.97      ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.57/0.97      inference(reduction,[status(thm)],['0.30.0.0','0.7.2.0',theory(equality)]),
% 0.57/0.97      [pos('R','L')]).
% 0.57/0.97  cnf('0.30.1.0',plain,
% 0.57/0.97      ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.30.0.1']),
% 0.57/0.97      [weight('<3,29,3,[1,0,0,2]>')]).
% 0.57/0.97  cnf('0.30.2.0',plain,
% 0.57/0.97      ( add(X1,multiplicative_identity) = multiplicative_identity ),
% 0.57/0.97      inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.57/0.97      [u,rule_28]).
% 0.57/0.97  cnf('0.31.0.0',plain,
% 0.57/0.97      ( multiply(additive_identity,add(X1,multiplicative_identity)) = multiply(X1,additive_identity) ),
% 0.57/0.97      inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 0.57/0.97  cnf('0.31.0.1',plain,
% 0.57/0.97      ( multiply(additive_identity,multiplicative_identity) = multiply(X1,additive_identity) ),
% 0.57/0.97      inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 0.57/0.97      [pos('L.2','L')]).
% 0.57/0.97  cnf('0.31.0.2',plain,
% 0.57/0.97      ( additive_identity = multiply(X1,additive_identity) ),
% 0.57/0.97      inference(reduction,[status(thm)],['0.31.0.1','0.3.2.0',theory(equality)]),
% 0.57/0.97      [pos('L','L')]).
% 0.57/0.97  cnf('0.31.1.0',plain,
% 0.57/0.97      ( additive_identity = multiply(X1,additive_identity) ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.31.0.2']),
% 0.57/0.97      [weight('<3,28,30,[0,0,0,0]>')]).
% 0.57/0.97  cnf('0.31.2.0',plain,
% 0.57/0.97      ( multiply(X1,additive_identity) = additive_identity ),
% 0.57/0.97      inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.57/0.97      [x,rule_29]).
% 0.57/0.97  cnf('0.35.0.0',plain,
% 0.57/0.97      ( multiply(z,add(additive_identity,x)) = add(x,additive_identity) ),
% 0.57/0.97      inference(cp,[status(thm)],['0.20.2.0','0.31.2.0',theory(equality)]),
% 0.57/0.97      [pos('L.2','L')]).
% 0.57/0.97  cnf('0.35.0.1',plain,
% 0.57/0.97      ( multiply(z,x) = add(x,additive_identity) ),
% 0.57/0.97      inference(reduction,[status(thm)],['0.35.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.97      [pos('L.2','L')]).
% 0.57/0.97  cnf('0.35.0.2',plain,
% 0.57/0.97      ( multiply(z,x) = x ),
% 0.57/0.97      inference(reduction,[status(thm)],['0.35.0.1','0.1.2.0',theory(equality)]),
% 0.57/0.97      [pos('R','L')]).
% 0.57/0.97  cnf('0.35.1.0',plain,
% 0.57/0.97      ( multiply(z,x) = x ),
% 0.57/0.97      inference(weigh,[status(thm)],['0.35.0.2']),
% 0.57/0.97      [weight('<3,31,20,[0,0,0,2]>')]).
% 0.57/0.97  cnf('0.35.1.1',plain,
% 0.57/0.97      ( multiply(x,z) = x ),
% 0.57/0.97      inference(reduction,[status(thm)],['0.35.1.0','0.12.2.0',theory(equality)]),
% 0.57/0.97      [pos('L','L')]).
% 0.57/0.97  cnf('0.35.2.0',plain,
% 0.57/0.97      ( multiply(x,z) = x ),
% 0.57/0.97      inference(orient,[status(thm)],['0.35.1.1',theory(equality)]),
% 0.57/0.97      [u,rule_33]).
% 0.57/0.97  cnf('1.0.0.0',conjecture,
% 0.57/0.97      ( multiply(x,z) = x ),
% 0.57/0.97      file('/tmp/WALDMEISTER_1478_n018',conjecture_1)).
% 0.57/0.97  cnf('1.0.0.1',plain,
% 0.57/0.97      ( x = x ),
% 0.57/0.97      inference(reduction,[status(thm)],['1.0.0.0','0.35.2.0',theory(equality)]),
% 0.57/0.97      [pos('L','L')]).
% 0.57/0.97  cnf('1.0.0.2',plain,
% 0.57/0.97      ( $true ),
% 0.57/0.97      inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.97      [conjecture_1]).
% 0.57/0.97  
% 0.57/0.97  Proved Goals:
% 0.57/0.97  No.  1:  multiply(x,z) ?= x joined, current: x = x
% 0.57/0.97  1 goal was specified, which was proved.
% 0.57/0.97  % SZS output end CNFRefutation
% 0.57/0.97  #END OF PROOF
% 0.57/0.97  
% 0.57/0.97  Problem         WALDMEISTER_1478_n018 
% 0.57/0.97  CPs.gen                  239 
% 0.57/0.97  CPs.reexp                  0 
% 0.57/0.97  Select                    51 
% 0.57/0.97  R                         33 
% 0.57/0.97  E                          2 
% 0.57/0.97  vsize                   6.5M 
% 0.57/0.97  rss                     3.8M 
% 0.57/0.97  process.time          0.003s 
% 0.57/0.97  wallclock.time        0.003s 
% 0.57/0.97  status                     S
% 0.57/0.97  
% 0.57/0.97  
% 0.57/0.97  Waldmeister states: Goal proved.
% 0.57/0.97  % SZS status Unsatisfiable
%------------------------------------------------------------------------------