TSTP Solution File: LAT017-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT017-1 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n007.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 : Sun Jul 17 07:14:44 EDT 2022
% Result : Unsatisfiable 0.58s 1.06s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LAT017-1 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.05/0.09 % Command : woody %s
% 0.08/0.29 % Computer : n007.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Wed Jun 29 13:53:52 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.54/0.95 ********************************************************************************
% 0.54/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.54/0.95 * |/ | \/ | *
% 0.54/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.54/0.95 * A. Jaeger and B. Loechner | | *
% 0.54/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.54/0.95 ********************************************************************************
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 Goals:
% 0.54/0.95 ------
% 0.54/0.95
% 0.54/0.95 ( 1) join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) ?=? n1
% 0.54/0.95
% 0.54/0.95 Detected structure: Verband
% 0.54/0.95 ********************************************************************************
% 0.54/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.54/0.95 ********************************************************************************
% 0.54/0.95
% 0.58/1.06 joined goal: 1 join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) ?= n1 to n1
% 0.58/1.06 goal joined
% 0.58/1.06 % SZS status Unsatisfiable
% 0.58/1.06 #START OF PROOF
% 0.58/1.06 % SZS output start CNFRefutation
% 0.58/1.06 cnf('0.1.0.0',axiom,
% 0.58/1.06 ( X1 = join(X1,meet(X1,X2)) ),
% 0.58/1.06 file('/tmp/WALDMEISTER_28433_n007')).
% 0.58/1.06 cnf('0.1.1.0',plain,
% 0.58/1.06 ( X1 = join(X1,meet(X1,X2)) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/1.06 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.1.2.0',plain,
% 0.58/1.06 ( join(X1,meet(X1,X2)) = X1 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_1]).
% 0.58/1.06 cnf('0.2.0.0',axiom,
% 0.58/1.06 ( X1 = complement(complement(X1)) ),
% 0.58/1.06 file('/tmp/WALDMEISTER_28433_n007')).
% 0.58/1.06 cnf('0.2.1.0',plain,
% 0.58/1.06 ( X1 = complement(complement(X1)) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/1.06 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/1.06 cnf('0.2.2.0',plain,
% 0.58/1.06 ( complement(complement(X1)) = X1 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_2]).
% 0.58/1.06 cnf('0.3.0.0',axiom,
% 0.58/1.06 ( join(X1,X2) = join(X2,X1) ),
% 0.58/1.06 file('/tmp/WALDMEISTER_28433_n007')).
% 0.58/1.06 cnf('0.3.1.0',plain,
% 0.58/1.06 ( join(X1,X2) = join(X2,X1) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.58/1.06 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.58/1.06 cnf('0.3.2.0',plain,
% 0.58/1.06 ( join(X1,X2) = join(X2,X1) ),
% 0.58/1.06 inference(activate,[status(thm)],['0.3.1.0']),
% 0.58/1.06 [equation_1]).
% 0.58/1.06 cnf('0.4.0.0',axiom,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.58/1.06 file('/tmp/WALDMEISTER_28433_n007')).
% 0.58/1.06 cnf('0.4.1.0',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/1.06 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.4.2.0',plain,
% 0.58/1.06 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_3]).
% 0.58/1.06 cnf('0.6.0.0',axiom,
% 0.58/1.06 ( join(complement(X1),X1) = n1 ),
% 0.58/1.06 file('/tmp/WALDMEISTER_28433_n007')).
% 0.58/1.06 cnf('0.6.1.0',plain,
% 0.58/1.06 ( join(complement(X1),X1) = n1 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/1.06 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.58/1.06 cnf('0.6.1.1',plain,
% 0.58/1.06 ( join(X1,complement(X1)) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.6.1.0','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.6.2.0',plain,
% 0.58/1.06 ( join(X1,complement(X1)) = n1 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.6.1.1',theory(equality)]),
% 0.58/1.06 [u,rule_5]).
% 0.58/1.06 cnf('0.7.0.0',axiom,
% 0.58/1.06 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.58/1.06 file('/tmp/WALDMEISTER_28433_n007')).
% 0.58/1.06 cnf('0.7.1.0',plain,
% 0.58/1.06 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/1.06 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.58/1.06 cnf('0.7.2.0',plain,
% 0.58/1.06 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_6]).
% 0.58/1.06 cnf('0.17.0.0',plain,
% 0.58/1.06 ( join(X1,meet(X1,X2)) = X1 ),
% 0.58/1.06 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.58/1.06 cnf('0.17.0.1',plain,
% 0.58/1.06 ( join(X1,complement(join(complement(X1),complement(X2)))) = X1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.17.0.0','0.7.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('0.17.1.0',plain,
% 0.58/1.06 ( join(X1,complement(join(complement(X1),complement(X2)))) = X1 ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.58/1.06 [weight('<8,1,7,[0,0,0,0]>')]).
% 0.58/1.06 cnf('0.17.2.0',plain,
% 0.58/1.06 ( join(X1,complement(join(complement(X1),complement(X2)))) = X1 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_16]).
% 0.58/1.06 cnf('0.23.0.0',plain,
% 0.58/1.06 ( X1 = join(X1,complement(join(complement(X1),X2))) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.17.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1.2','L')]).
% 0.58/1.06 cnf('0.23.1.0',plain,
% 0.58/1.06 ( X1 = join(X1,complement(join(complement(X1),X2))) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.58/1.06 [weight('<7,17,2,[1,0,0,6]>')]).
% 0.58/1.06 cnf('0.23.2.0',plain,
% 0.58/1.06 ( join(X1,complement(join(complement(X1),X2))) = X1 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_22]).
% 0.58/1.06 cnf('0.26.0.0',plain,
% 0.58/1.06 ( complement(X1) = join(complement(X1),complement(join(X1,X2))) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.23.2.0','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1.1','L')]).
% 0.58/1.06 cnf('0.26.1.0',plain,
% 0.58/1.06 ( complement(X1) = join(complement(X1),complement(join(X1,X2))) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.58/1.06 [weight('<7,23,2,[1,0,0,4]>')]).
% 0.58/1.06 cnf('0.26.2.0',plain,
% 0.58/1.06 ( join(complement(X1),complement(join(X1,X2))) = complement(X1) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_25]).
% 0.58/1.06 cnf('0.28.0.0',plain,
% 0.58/1.06 ( complement(X1) = join(complement(X1),complement(join(X2,X1))) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.26.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1','L')]).
% 0.58/1.06 cnf('0.28.1.0',plain,
% 0.58/1.06 ( complement(X1) = join(complement(X1),complement(join(X2,X1))) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.58/1.06 [weight('<7,26,3,[1,0,0,4]>')]).
% 0.58/1.06 cnf('0.28.2.0',plain,
% 0.58/1.06 ( join(complement(X1),complement(join(X2,X1))) = complement(X1) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_27]).
% 0.58/1.06 cnf('0.29.0.0',plain,
% 0.58/1.06 ( n1 = join(X1,join(X2,complement(join(X1,X2)))) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.29.1.0',plain,
% 0.58/1.06 ( n1 = join(X1,join(X2,complement(join(X1,X2)))) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.58/1.06 [weight('<8,6,4,[1,0,0,0]>')]).
% 0.58/1.06 cnf('0.29.2.0',plain,
% 0.58/1.06 ( join(X1,join(X2,complement(join(X1,X2)))) = n1 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_28]).
% 0.58/1.06 cnf('0.35.0.0',plain,
% 0.58/1.06 ( join(X1,join(complement(join(complement(X1),X2)),X3)) = join(X1,X3) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.4.2.0','0.23.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.35.1.0',plain,
% 0.58/1.06 ( join(X1,join(complement(join(complement(X1),X2)),X3)) = join(X1,X3) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.58/1.06 [weight('<9,23,4,[0,0,0,1]>')]).
% 0.58/1.06 cnf('0.35.2.0',plain,
% 0.58/1.06 ( join(X1,join(complement(join(complement(X1),X2)),X3)) = join(X1,X3) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.58/1.06 [u,rule_34]).
% 0.58/1.06 cnf('0.50.0.0',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.50.1.0',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.58/1.06 [weight('<10,4,3,[1,0,0,0]>')]).
% 0.58/1.06 cnf('0.50.2.0',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 0.58/1.06 inference(activate,[status(thm)],['0.50.1.0']),
% 0.58/1.06 [equation_2]).
% 0.58/1.06 cnf('0.51.0.0',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(join(X2,X1),X3) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1','L')]).
% 0.58/1.06 cnf('0.51.0.1',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.51.0.0','0.4.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.51.1.0',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.51.0.1']),
% 0.58/1.06 [weight('<10,4,3,[1,0,0,1]>')]).
% 0.58/1.06 cnf('0.51.2.0',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 0.58/1.06 inference(activate,[status(thm)],['0.51.1.0']),
% 0.58/1.06 [equation_3]).
% 0.58/1.06 cnf('0.61.0.0',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(X3,join(X2,X1)) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.50.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2','L')]).
% 0.58/1.06 cnf('0.61.1.0',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(X3,join(X2,X1)) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.58/1.06 [weight('<10,50,3,[1,1,0,2]>')]).
% 0.58/1.06 cnf('0.61.2.0',plain,
% 0.58/1.06 ( join(X1,join(X2,X3)) = join(X3,join(X2,X1)) ),
% 0.58/1.06 inference(activate,[status(thm)],['0.61.1.0']),
% 0.58/1.06 [equation_4]).
% 0.58/1.06 cnf('0.104.0.0',plain,
% 0.58/1.06 ( n1 = join(X1,join(X2,join(X3,complement(join(join(X1,X2),X3))))) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.29.2.0','0.4.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('0.104.0.1',plain,
% 0.58/1.06 ( n1 = join(X1,join(X2,join(X3,complement(join(X1,join(X2,X3)))))) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.104.0.0','0.4.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2.2.2.1','L')]).
% 0.58/1.06 cnf('0.104.1.0',plain,
% 0.58/1.06 ( n1 = join(X1,join(X2,join(X3,complement(join(X1,join(X2,X3)))))) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.104.0.1']),
% 0.58/1.06 [weight('<12,29,4,[1,0,0,0]>')]).
% 0.58/1.06 cnf('0.104.2.0',plain,
% 0.58/1.06 ( join(X1,join(X2,join(X3,complement(join(X1,join(X2,X3)))))) = n1 ),
% 0.58/1.06 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_100]).
% 0.58/1.06 cnf('0.152.0.0',plain,
% 0.58/1.06 ( complement(join(complement(join(complement(X1),X2)),X3)) = join(complement(join(complement(join(complement(X1),X2)),X3)),complement(join(X1,X3))) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.28.2.0','0.35.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1','L')]).
% 0.58/1.06 cnf('0.152.1.0',plain,
% 0.58/1.06 ( complement(join(complement(join(complement(X1),X2)),X3)) = join(complement(join(complement(join(complement(X1),X2)),X3)),complement(join(X1,X3))) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.152.0.0']),
% 0.58/1.06 [weight('<13,35,28,[0,0,0,4]>')]).
% 0.58/1.06 cnf('0.152.1.1',plain,
% 0.58/1.06 ( complement(join(complement(join(complement(X1),X2)),X3)) = join(complement(join(X1,X3)),complement(join(complement(join(complement(X1),X2)),X3))) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.152.1.0','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('R','L')]).
% 0.58/1.06 cnf('0.152.2.0',plain,
% 0.58/1.06 ( join(complement(join(X1,X2)),complement(join(complement(join(complement(X1),X3)),X2))) = complement(join(complement(join(complement(X1),X3)),X2)) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.152.1.1',theory(equality)]),
% 0.58/1.06 [x,rule_148]).
% 0.58/1.06 cnf('0.153.0.0',plain,
% 0.58/1.06 ( complement(join(complement(join(complement(complement(X1)),X2)),complement(join(X1,X3)))) = join(complement(complement(X1)),complement(join(complement(join(complement(complement(X1)),X2)),complement(join(X1,X3))))) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.152.2.0','0.26.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1.1','L')]).
% 0.58/1.06 cnf('0.153.0.1',plain,
% 0.58/1.06 ( complement(join(complement(join(X1,X2)),complement(join(X1,X3)))) = join(complement(complement(X1)),complement(join(complement(join(complement(complement(X1)),X2)),complement(join(X1,X3))))) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.153.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.1.1.1.1','L')]).
% 0.58/1.06 cnf('0.153.0.2',plain,
% 0.58/1.06 ( complement(join(complement(join(X1,X2)),complement(join(X1,X3)))) = join(X1,complement(join(complement(join(complement(complement(X1)),X2)),complement(join(X1,X3))))) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.153.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.1','L')]).
% 0.58/1.06 cnf('0.153.0.3',plain,
% 0.58/1.06 ( complement(join(complement(join(X1,X2)),complement(join(X1,X3)))) = join(X1,complement(join(complement(join(X1,X2)),complement(join(X1,X3))))) ),
% 0.58/1.06 inference(reduction,[status(thm)],['0.153.0.2','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('R.2.1.1.1.1','L')]).
% 0.58/1.06 cnf('0.153.1.0',plain,
% 0.58/1.06 ( complement(join(complement(join(X1,X2)),complement(join(X1,X3)))) = join(X1,complement(join(complement(join(X1,X2)),complement(join(X1,X3))))) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.153.0.3']),
% 0.58/1.06 [weight('<12,152,26,[1,0,0,2]>')]).
% 0.58/1.06 cnf('0.153.2.0',plain,
% 0.58/1.06 ( join(X1,complement(join(complement(join(X1,X2)),complement(join(X1,X3))))) = complement(join(complement(join(X1,X2)),complement(join(X1,X3)))) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_149]).
% 0.58/1.06 cnf('0.155.0.0',plain,
% 0.58/1.06 ( complement(join(complement(join(X1,X2)),complement(join(X1,X3)))) = join(X1,complement(join(complement(join(X2,X1)),complement(join(X1,X3))))) ),
% 0.58/1.06 inference(cp,[status(thm)],['0.153.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1.1.1','L')]).
% 0.58/1.06 cnf('0.155.1.0',plain,
% 0.58/1.06 ( complement(join(complement(join(X1,X2)),complement(join(X1,X3)))) = join(X1,complement(join(complement(join(X2,X1)),complement(join(X1,X3))))) ),
% 0.58/1.06 inference(weigh,[status(thm)],['0.155.0.0']),
% 0.58/1.06 [weight('<12,153,3,[1,0,0,5]>')]).
% 0.58/1.06 cnf('0.155.2.0',plain,
% 0.58/1.06 ( join(X1,complement(join(complement(join(X2,X1)),complement(join(X1,X3))))) = complement(join(complement(join(X1,X2)),complement(join(X1,X3)))) ),
% 0.58/1.06 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 0.58/1.06 [x,rule_151]).
% 0.58/1.06 cnf('1.0.0.0',conjecture,
% 0.58/1.06 ( join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) = n1 ),
% 0.58/1.06 file('/tmp/WALDMEISTER_28433_n007',conjecture_1)).
% 0.58/1.06 cnf('1.0.0.1',plain,
% 0.58/1.06 ( join(a,join(complement(join(complement(complement(a)),complement(meet(join(a,complement(b)),join(a,b))))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.0','0.7.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1','L')]).
% 0.58/1.06 cnf('1.0.0.2',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,complement(meet(join(a,complement(b)),join(a,b))))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1.1.1','L')]).
% 0.58/1.06 cnf('1.0.0.3',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,complement(complement(join(complement(join(a,complement(b))),complement(join(a,b))))))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.2','0.7.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1.1.2.1','L')]).
% 0.58/1.06 cnf('1.0.0.4',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(a,complement(b))),complement(join(a,b))))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.3','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1.1.2','L')]).
% 0.58/1.06 cnf('1.0.0.5',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(a,b)),complement(join(a,complement(b)))))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.4','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1.1.2','L')]).
% 0.58/1.06 cnf('1.0.0.6',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.5','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1.1.2.1.1','L')]).
% 0.58/1.06 cnf('1.0.0.7',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(complement(complement(a)),complement(join(meet(complement(a),b),meet(complement(a),complement(b)))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.6','0.7.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2','L')]).
% 0.58/1.06 cnf('1.0.0.8',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(a,complement(join(meet(complement(a),b),meet(complement(a),complement(b)))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.7','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1.1','L')]).
% 0.58/1.06 cnf('1.0.0.9',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(a,complement(join(complement(join(complement(complement(a)),complement(b))),meet(complement(a),complement(b)))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.8','0.7.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1.2.1.1','L')]).
% 0.58/1.06 cnf('1.0.0.10',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(a,complement(join(complement(join(complement(b),complement(complement(a)))),meet(complement(a),complement(b)))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.9','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1.2.1.1.1','L')]).
% 0.58/1.06 cnf('1.0.0.11',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(a,complement(join(complement(join(complement(b),a)),meet(complement(a),complement(b)))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.10','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1.2.1.1.1.2','L')]).
% 0.58/1.06 cnf('1.0.0.12',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(a,complement(join(complement(join(a,complement(b))),meet(complement(a),complement(b)))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.11','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1.2.1.1.1','L')]).
% 0.58/1.06 cnf('1.0.0.13',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(a,complement(join(complement(join(a,complement(b))),complement(join(complement(complement(a)),complement(complement(b)))))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.12','0.7.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1.2.1.2','L')]).
% 0.58/1.06 cnf('1.0.0.14',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(a,complement(join(complement(join(a,complement(b))),complement(join(complement(complement(b)),complement(complement(a)))))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.13','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1.2.1.2.1','L')]).
% 0.58/1.06 cnf('1.0.0.15',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(a,complement(join(complement(join(a,complement(b))),complement(join(b,complement(complement(a)))))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.14','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1.2.1.2.1.1','L')]).
% 0.58/1.06 cnf('1.0.0.16',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(a,complement(join(complement(join(a,complement(b))),complement(join(b,a)))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.15','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1.2.1.2.1.2','L')]).
% 0.58/1.06 cnf('1.0.0.17',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(join(a,complement(join(complement(join(b,a)),complement(join(a,complement(b))))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.16','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1.2.1','L')]).
% 0.58/1.06 cnf('1.0.0.18',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),complement(complement(join(complement(join(a,b)),complement(join(a,complement(b)))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.17','0.155.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2.1','L')]).
% 0.58/1.06 cnf('1.0.0.19',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b)))))),join(complement(join(a,b)),complement(join(a,complement(b)))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.18','0.2.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.2','L')]).
% 0.58/1.06 cnf('1.0.0.20',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,complement(b))),join(complement(join(a,b)),complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b))))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.19','0.61.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('1.0.0.21',plain,
% 0.58/1.06 ( join(a,join(complement(join(a,b)),join(complement(join(a,complement(b))),complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b))))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.20','0.51.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2','L')]).
% 0.58/1.06 cnf('1.0.0.22',plain,
% 0.58/1.06 ( join(a,join(complement(join(b,a)),join(complement(join(a,complement(b))),complement(join(a,join(complement(join(b,a)),complement(join(a,complement(b))))))))) = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.21','0.3.2.0',theory(equality)]),
% 0.58/1.06 [pos('L.2.1.1','L')]).
% 0.58/1.06 cnf('1.0.0.23',plain,
% 0.58/1.06 ( n1 = n1 ),
% 0.58/1.06 inference(reduction,[status(thm)],['1.0.0.22','0.104.2.0',theory(equality)]),
% 0.58/1.06 [pos('L','L')]).
% 0.58/1.06 cnf('1.0.0.24',plain,
% 0.58/1.06 ( $true ),
% 0.58/1.06 inference(trivial,[status(thm)],['1.0.0.23',theory(equality)]),
% 0.58/1.06 [conjecture_1]).
% 0.58/1.06
% 0.58/1.06 Proved Goals:
% 0.58/1.06 No. 1: join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) ?= n1 joined, current: n1 = n1
% 0.58/1.06 1 goal was specified, which was proved.
% 0.58/1.06 % SZS output end CNFRefutation
% 0.58/1.06 #END OF PROOF
% 0.58/1.06
% 0.58/1.06 Problem WALDMEISTER_28433_n007
% 0.58/1.06 CPs.gen 21216
% 0.58/1.06 CPs.reexp 0
% 0.58/1.06 Select 2182
% 0.58/1.06 R 151
% 0.58/1.06 E 4
% 0.58/1.06 vsize 6.5M
% 0.58/1.06 rss 3.8M
% 0.58/1.06 process.time 0.108s
% 0.58/1.06 wallclock.time 0.109s
% 0.58/1.06 status S
% 0.58/1.06
% 0.58/1.06
% 0.58/1.06 Waldmeister states: Goal proved.
% 0.58/1.06 % SZS status Unsatisfiable
%------------------------------------------------------------------------------