TSTP Solution File: REL005-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL005-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:09:31 EDT 2022
% Result : Unsatisfiable 0.62s 1.04s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL005-1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : woody %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 13:18:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/1.00 ********************************************************************************
% 0.58/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/1.00 * |/ | \/ | *
% 0.58/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/1.00 * A. Jaeger and B. Loechner | | *
% 0.58/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/1.00 ********************************************************************************
% 0.58/1.00
% 0.58/1.00
% 0.58/1.00 Goals:
% 0.58/1.00 ------
% 0.58/1.00
% 0.58/1.00 ( 1) converse(meet(sk1,sk2)) ?=? meet(converse(sk1),converse(sk2))
% 0.58/1.00
% 0.58/1.00 Detected structure: Orkus
% 0.58/1.00 ********************************************************************************
% 0.58/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.58/1.00 ********************************************************************************
% 0.58/1.00
% 0.62/1.04 joined goal: 1 converse(meet(sk1,sk2)) ?= meet(converse(sk1),converse(sk2)) to converse(meet(sk2,sk1))
% 0.62/1.04 goal joined
% 0.62/1.04 % SZS status Unsatisfiable
% 0.62/1.04 #START OF PROOF
% 0.62/1.04 % SZS output start CNFRefutation
% 0.62/1.04 cnf('0.1.0.0',axiom,
% 0.62/1.04 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.1.1.0',plain,
% 0.62/1.04 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.1.2.0',plain,
% 0.62/1.04 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_1]).
% 0.62/1.04 cnf('0.2.0.0',axiom,
% 0.62/1.04 ( X1 = composition(X1,one) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.2.1.0',plain,
% 0.62/1.04 ( X1 = composition(X1,one) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.04 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.2.2.0',plain,
% 0.62/1.04 ( composition(X1,one) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_2]).
% 0.62/1.04 cnf('0.3.0.0',axiom,
% 0.62/1.04 ( X1 = converse(converse(X1)) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.3.1.0',plain,
% 0.62/1.04 ( X1 = converse(converse(X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.04 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.62/1.04 cnf('0.3.2.0',plain,
% 0.62/1.04 ( converse(converse(X1)) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_3]).
% 0.62/1.04 cnf('0.4.0.0',axiom,
% 0.62/1.04 ( join(X1,X2) = join(X2,X1) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.4.1.0',plain,
% 0.62/1.04 ( join(X1,X2) = join(X2,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.04 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.62/1.04 cnf('0.4.2.0',plain,
% 0.62/1.04 ( join(X1,X2) = join(X2,X1) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.4.1.0']),
% 0.62/1.04 [equation_1]).
% 0.62/1.04 cnf('0.5.0.0',axiom,
% 0.62/1.04 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.5.1.0',plain,
% 0.62/1.04 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.04 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.62/1.04 cnf('0.5.2.0',plain,
% 0.62/1.04 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_4]).
% 0.62/1.04 cnf('0.6.0.0',axiom,
% 0.62/1.04 ( join(X1,complement(X1)) = top ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.6.1.0',plain,
% 0.62/1.04 ( join(X1,complement(X1)) = top ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.04 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.62/1.04 cnf('0.6.2.0',plain,
% 0.62/1.04 ( join(X1,complement(X1)) = top ),
% 0.62/1.04 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_5]).
% 0.62/1.04 cnf('0.8.0.0',axiom,
% 0.62/1.04 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.8.1.0',plain,
% 0.62/1.04 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.62/1.04 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.62/1.04 cnf('0.8.1.1',plain,
% 0.62/1.04 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.8.2.0',plain,
% 0.62/1.04 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 0.62/1.04 [u,rule_7]).
% 0.62/1.04 cnf('0.9.0.0',axiom,
% 0.62/1.04 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.9.1.0',plain,
% 0.62/1.04 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/1.04 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.62/1.04 cnf('0.9.2.0',plain,
% 0.62/1.04 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_8]).
% 0.62/1.04 cnf('0.10.0.0',axiom,
% 0.62/1.04 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.10.1.0',plain,
% 0.62/1.04 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.62/1.04 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.62/1.04 cnf('0.10.2.0',plain,
% 0.62/1.04 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_9]).
% 0.62/1.04 cnf('0.12.0.0',axiom,
% 0.62/1.04 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.12.1.0',plain,
% 0.62/1.04 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.62/1.04 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.62/1.04 cnf('0.12.2.0',plain,
% 0.62/1.04 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_11]).
% 0.62/1.04 cnf('0.13.0.0',axiom,
% 0.62/1.04 ( meet(X1,complement(X1)) = zero ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023')).
% 0.62/1.04 cnf('0.13.1.0',plain,
% 0.62/1.04 ( meet(X1,complement(X1)) = zero ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.62/1.04 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.62/1.04 cnf('0.13.2.0',plain,
% 0.62/1.04 ( meet(X1,complement(X1)) = zero ),
% 0.62/1.04 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_12]).
% 0.62/1.04 cnf('0.14.0.0',plain,
% 0.62/1.04 ( meet(X1,complement(X1)) = complement(top) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.14.1.0',plain,
% 0.62/1.04 ( meet(X1,complement(X1)) = complement(top) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.62/1.04 [weight('<34,10,6,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.14.1.1',plain,
% 0.62/1.04 ( zero = complement(top) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.14.1.0','0.13.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.14.2.0',plain,
% 0.62/1.04 ( complement(top) = zero ),
% 0.62/1.04 inference(orient,[status(thm)],['0.14.1.1',theory(equality)]),
% 0.62/1.04 [x,rule_13]).
% 0.62/1.04 cnf('0.17.0.0',plain,
% 0.62/1.04 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.10.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.17.0.1',plain,
% 0.62/1.04 ( meet(X1,X2) = meet(X2,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.17.0.0','0.10.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.17.1.0',plain,
% 0.62/1.04 ( meet(X1,X2) = meet(X2,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.62/1.04 [weight('<48,10,4,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.17.2.0',plain,
% 0.62/1.04 ( meet(X1,X2) = meet(X2,X1) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.17.1.0']),
% 0.62/1.04 [equation_2]).
% 0.62/1.04 cnf('0.19.0.0',plain,
% 0.62/1.04 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.10.2.0','0.14.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.1','L')]).
% 0.62/1.04 cnf('0.19.1.0',plain,
% 0.62/1.04 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.62/1.04 [weight('<53,14,10,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.19.2.0',plain,
% 0.62/1.04 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_17]).
% 0.62/1.04 cnf('0.24.0.0',plain,
% 0.62/1.04 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.24.1.0',plain,
% 0.62/1.04 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.62/1.04 [weight('<59,9,3,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.24.2.0',plain,
% 0.62/1.04 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_22]).
% 0.62/1.04 cnf('0.27.0.0',plain,
% 0.62/1.04 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.27.1.0',plain,
% 0.62/1.04 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.62/1.04 [weight('<59,12,3,[1,0,0,3]>')]).
% 0.62/1.04 cnf('0.27.2.0',plain,
% 0.62/1.04 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_25]).
% 0.62/1.04 cnf('0.28.0.0',plain,
% 0.62/1.04 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.27.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.28.0.1',plain,
% 0.62/1.04 ( composition(converse(one),X1) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.28.0.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.28.1.0',plain,
% 0.62/1.04 ( composition(converse(one),X1) = X1 ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.62/1.04 [weight('<29,27,2,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.28.2.0',plain,
% 0.62/1.04 ( composition(converse(one),X1) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_26]).
% 0.62/1.04 cnf('0.29.0.0',plain,
% 0.62/1.04 ( one = converse(one) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.28.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.29.1.0',plain,
% 0.62/1.04 ( one = converse(one) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.62/1.04 [weight('<11,28,2,[1,0,0,0]>')]).
% 0.62/1.04 cnf('0.29.2.0',plain,
% 0.62/1.04 ( converse(one) = one ),
% 0.62/1.04 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_27]).
% 0.62/1.04 cnf('0.30.0.0',plain,
% 0.62/1.04 ( composition(converse(one),X1) = X1 ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.28.2.0'])).
% 0.62/1.04 cnf('0.30.0.1',plain,
% 0.62/1.04 ( composition(one,X1) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.30.0.0','0.29.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.30.1.0',plain,
% 0.62/1.04 ( composition(one,X1) = X1 ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.62/1.04 [weight('<19,28,29,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.30.2.0',plain,
% 0.62/1.04 ( composition(one,X1) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_28]).
% 0.62/1.04 cnf('0.33.0.0',plain,
% 0.62/1.04 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.8.2.0','0.30.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.2.1','L')]).
% 0.62/1.04 cnf('0.33.0.1',plain,
% 0.62/1.04 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.33.0.0','0.29.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2.1','L')]).
% 0.62/1.04 cnf('0.33.0.2',plain,
% 0.62/1.04 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.33.0.1','0.30.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.33.1.0',plain,
% 0.62/1.04 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.33.0.2']),
% 0.62/1.04 [weight('<47,30,8,[0,0,0,7]>')]).
% 0.62/1.04 cnf('0.33.2.0',plain,
% 0.62/1.04 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_31]).
% 0.62/1.04 cnf('0.34.0.0',plain,
% 0.62/1.04 ( complement(top) = join(zero,complement(top)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.33.2.0','0.14.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.34.0.1',plain,
% 0.62/1.04 ( zero = join(zero,complement(top)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.34.0.0','0.14.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.34.0.2',plain,
% 0.62/1.04 ( zero = join(zero,zero) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.34.0.1','0.14.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.34.1.0',plain,
% 0.62/1.04 ( zero = join(zero,zero) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.34.0.2']),
% 0.62/1.04 [weight('<19,33,14,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.34.2.0',plain,
% 0.62/1.04 ( join(zero,zero) = zero ),
% 0.62/1.04 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_32]).
% 0.62/1.04 cnf('0.37.0.0',plain,
% 0.62/1.04 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.10.2.0','0.33.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.37.1.0',plain,
% 0.62/1.04 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.62/1.04 [weight('<48,33,10,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.37.2.0',plain,
% 0.62/1.04 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.62/1.04 inference(activate,[status(thm)],['0.37.1.0']),
% 0.62/1.04 [equation_3]).
% 0.62/1.04 cnf('0.38.0.0',plain,
% 0.62/1.04 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.34.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.38.1.0',plain,
% 0.62/1.04 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.62/1.04 [weight('<53,34,5,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.38.2.0',plain,
% 0.62/1.04 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_35]).
% 0.62/1.04 cnf('0.42.0.0',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.24.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.42.1.0',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.62/1.04 [weight('<62,24,6,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.42.2.0',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_39]).
% 0.62/1.04 cnf('0.46.0.0',plain,
% 0.62/1.04 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.46.1.0',plain,
% 0.62/1.04 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.62/1.04 [weight('<69,6,5,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.46.2.0',plain,
% 0.62/1.04 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_43]).
% 0.62/1.04 cnf('0.47.0.0',plain,
% 0.62/1.04 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.46.2.0','0.33.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.47.0.1',plain,
% 0.62/1.04 ( join(top,complement(X1)) = top ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.47.0.0','0.6.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.47.1.0',plain,
% 0.62/1.04 ( join(top,complement(X1)) = top ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.47.0.1']),
% 0.62/1.04 [weight('<29,46,33,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.47.2.0',plain,
% 0.62/1.04 ( join(top,complement(X1)) = top ),
% 0.62/1.04 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_44]).
% 0.62/1.04 cnf('0.50.0.0',plain,
% 0.62/1.04 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.46.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.50.1.0',plain,
% 0.62/1.04 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.62/1.04 [weight('<53,46,6,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.50.1.1',plain,
% 0.62/1.04 ( top = join(X1,top) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.50.1.0','0.47.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.50.2.0',plain,
% 0.62/1.04 ( join(X1,top) = top ),
% 0.62/1.04 inference(orient,[status(thm)],['0.50.1.1',theory(equality)]),
% 0.62/1.04 [x,rule_47]).
% 0.62/1.04 cnf('0.51.0.0',plain,
% 0.62/1.04 ( top = join(top,X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.50.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.51.1.0',plain,
% 0.62/1.04 ( top = join(top,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.51.0.0']),
% 0.62/1.04 [weight('<19,50,4,[1,0,0,0]>')]).
% 0.62/1.04 cnf('0.51.2.0',plain,
% 0.62/1.04 ( join(top,X1) = top ),
% 0.62/1.04 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_48]).
% 0.62/1.04 cnf('0.52.0.0',plain,
% 0.62/1.04 ( top = converse(top) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.51.2.0','0.42.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.52.1.0',plain,
% 0.62/1.04 ( top = converse(top) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.52.0.0']),
% 0.62/1.04 [weight('<11,51,42,[1,0,0,0]>')]).
% 0.62/1.04 cnf('0.52.2.0',plain,
% 0.62/1.04 ( converse(top) = top ),
% 0.62/1.04 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_49]).
% 0.62/1.04 cnf('0.59.0.0',plain,
% 0.62/1.04 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.62/1.04 cnf('0.59.1.0',plain,
% 0.62/1.04 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.62/1.04 [weight('<?,1,4,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.59.1.1',plain,
% 0.62/1.04 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.59.1.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.59.1.2',plain,
% 0.62/1.04 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.59.1.1','0.10.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.59.1.3',plain,
% 0.62/1.04 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.59.1.2','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.59.2.0',plain,
% 0.62/1.04 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.59.1.3',theory(equality)]),
% 0.62/1.04 [u,rule_56]).
% 0.62/1.04 cnf('0.61.0.0',plain,
% 0.62/1.04 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.59.2.0','0.13.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.61.0.1',plain,
% 0.62/1.04 ( X1 = join(zero,meet(X1,X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.61.0.0','0.10.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.61.1.0',plain,
% 0.62/1.04 ( X1 = join(zero,meet(X1,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.61.0.1']),
% 0.62/1.04 [weight('<41,59,13,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.61.2.0',plain,
% 0.62/1.04 ( join(zero,meet(X1,X1)) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_58]).
% 0.62/1.04 cnf('0.62.0.0',plain,
% 0.62/1.04 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.38.2.0','0.61.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.62.0.1',plain,
% 0.62/1.04 ( X1 = join(zero,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.62.0.0','0.61.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.62.1.0',plain,
% 0.62/1.04 ( X1 = join(zero,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.62/1.04 [weight('<19,61,38,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.62.2.0',plain,
% 0.62/1.04 ( join(zero,X1) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_59]).
% 0.62/1.04 cnf('0.66.0.0',plain,
% 0.62/1.04 ( join(zero,meet(X1,X1)) = X1 ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.61.2.0'])).
% 0.62/1.04 cnf('0.66.0.1',plain,
% 0.62/1.04 ( meet(X1,X1) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.66.0.0','0.62.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.66.1.0',plain,
% 0.62/1.04 ( meet(X1,X1) = X1 ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.66.0.1']),
% 0.62/1.04 [weight('<19,61,62,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.66.2.0',plain,
% 0.62/1.04 ( meet(X1,X1) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_63]).
% 0.62/1.04 cnf('0.67.0.0',plain,
% 0.62/1.04 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.37.2.0'])).
% 0.62/1.04 cnf('0.67.0.1',plain,
% 0.62/1.04 ( X1 = complement(complement(X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.67.0.0','0.66.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.67.1.0',plain,
% 0.62/1.04 ( X1 = complement(complement(X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.67.0.1']),
% 0.62/1.04 [weight('<19,37,66,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.67.2.0',plain,
% 0.62/1.04 ( complement(complement(X1)) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_64]).
% 0.62/1.04 cnf('0.71.0.0',plain,
% 0.62/1.04 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.33.2.0','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.71.0.1',plain,
% 0.62/1.04 ( X1 = join(X1,complement(complement(X1))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.71.0.0','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.71.0.2',plain,
% 0.62/1.04 ( X1 = join(X1,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.71.0.1','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.2','L')]).
% 0.62/1.04 cnf('0.71.1.0',plain,
% 0.62/1.04 ( X1 = join(X1,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.71.0.2']),
% 0.62/1.04 [weight('<19,67,33,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.71.2.0',plain,
% 0.62/1.04 ( join(X1,X1) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_68]).
% 0.62/1.04 cnf('0.72.0.0',plain,
% 0.62/1.04 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.19.2.0'])).
% 0.62/1.04 cnf('0.72.0.1',plain,
% 0.62/1.04 ( complement(complement(X1)) = meet(top,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.72.0.0','0.62.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.72.1.0',plain,
% 0.62/1.04 ( complement(complement(X1)) = meet(top,X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.72.0.1']),
% 0.62/1.04 [weight('<27,19,62,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.72.1.1',plain,
% 0.62/1.04 ( X1 = meet(top,X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.72.1.0','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.72.2.0',plain,
% 0.62/1.04 ( meet(top,X1) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.72.1.1',theory(equality)]),
% 0.62/1.04 [x,rule_69]).
% 0.62/1.04 cnf('0.73.0.0',plain,
% 0.62/1.04 ( X1 = meet(X1,top) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.72.2.0','0.17.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.73.1.0',plain,
% 0.62/1.04 ( X1 = meet(X1,top) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.73.0.0']),
% 0.62/1.04 [weight('<19,72,17,[1,0,0,0]>')]).
% 0.62/1.04 cnf('0.73.2.0',plain,
% 0.62/1.04 ( meet(X1,top) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_70]).
% 0.62/1.04 cnf('0.81.0.0',plain,
% 0.62/1.04 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.71.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.81.1.0',plain,
% 0.62/1.04 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.81.0.0']),
% 0.62/1.04 [weight('<53,71,5,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.81.2.0',plain,
% 0.62/1.04 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_78]).
% 0.62/1.04 cnf('0.82.0.0',plain,
% 0.62/1.04 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.81.2.0','0.59.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.82.0.1',plain,
% 0.62/1.04 ( X1 = join(meet(X1,X2),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.82.0.0','0.59.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.82.1.0',plain,
% 0.62/1.04 ( X1 = join(meet(X1,X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.82.0.1']),
% 0.62/1.04 [weight('<41,81,59,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.82.1.1',plain,
% 0.62/1.04 ( X1 = join(X1,meet(X1,X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.82.1.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.82.2.0',plain,
% 0.62/1.04 ( join(X1,meet(X1,X2)) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.82.1.1',theory(equality)]),
% 0.62/1.04 [x,rule_79]).
% 0.62/1.04 cnf('0.83.0.0',plain,
% 0.62/1.04 ( X1 = join(X1,meet(X2,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.82.2.0','0.17.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.83.1.0',plain,
% 0.62/1.04 ( X1 = join(X1,meet(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.83.0.0']),
% 0.62/1.04 [weight('<41,82,17,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.83.2.0',plain,
% 0.62/1.04 ( join(X1,meet(X2,X1)) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_80]).
% 0.62/1.04 cnf('0.85.0.0',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.42.2.0'])).
% 0.62/1.04 cnf('0.85.0.1',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.85.0.0','0.52.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.85.1.0',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.85.0.1']),
% 0.62/1.04 [weight('<55,42,52,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.85.2.0',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.62/1.04 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_82]).
% 0.62/1.04 cnf('0.107.0.0',plain,
% 0.62/1.04 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.10.2.0','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.1','L')]).
% 0.62/1.04 cnf('0.107.1.0',plain,
% 0.62/1.04 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.107.0.0']),
% 0.62/1.04 [weight('<59,67,10,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.107.2.0',plain,
% 0.62/1.04 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_104]).
% 0.62/1.04 cnf('0.108.0.0',plain,
% 0.62/1.04 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.107.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.108.1.0',plain,
% 0.62/1.04 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.108.0.0']),
% 0.62/1.04 [weight('<59,107,4,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.108.2.0',plain,
% 0.62/1.04 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_105]).
% 0.62/1.04 cnf('0.109.0.0',plain,
% 0.62/1.04 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.67.2.0','0.107.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.109.1.0',plain,
% 0.62/1.04 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.109.0.0']),
% 0.62/1.04 [weight('<59,107,67,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.109.2.0',plain,
% 0.62/1.04 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_106]).
% 0.62/1.04 cnf('0.112.0.0',plain,
% 0.62/1.04 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.109.2.0','0.17.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.112.1.0',plain,
% 0.62/1.04 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.112.0.0']),
% 0.62/1.04 [weight('<59,109,17,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.112.2.0',plain,
% 0.62/1.04 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_108]).
% 0.62/1.04 cnf('0.113.0.0',plain,
% 0.62/1.04 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.109.2.0','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.1','L')]).
% 0.62/1.04 cnf('0.113.1.0',plain,
% 0.62/1.04 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.113.0.0']),
% 0.62/1.04 [weight('<59,109,67,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.113.2.0',plain,
% 0.62/1.04 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_109]).
% 0.62/1.04 cnf('0.152.0.0',plain,
% 0.62/1.04 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.5.2.0','0.83.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.152.1.0',plain,
% 0.62/1.04 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.152.0.0']),
% 0.62/1.04 [weight('<87,83,5,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.152.2.0',plain,
% 0.62/1.04 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_148]).
% 0.62/1.04 cnf('0.182.0.0',plain,
% 0.62/1.04 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.62/1.04 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 0.62/1.04 cnf('0.182.0.1',plain,
% 0.62/1.04 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.182.0.0','0.108.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.182.1.0',plain,
% 0.62/1.04 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.182.0.1']),
% 0.62/1.04 [weight('<89,59,108,[0,0,0,0]>')]).
% 0.62/1.04 cnf('0.182.2.0',plain,
% 0.62/1.04 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_177]).
% 0.62/1.04 cnf('0.183.0.0',plain,
% 0.62/1.04 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.152.2.0','0.182.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.183.1.0',plain,
% 0.62/1.04 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.183.0.0']),
% 0.62/1.04 [weight('<69,182,152,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.183.2.0',plain,
% 0.62/1.04 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_178]).
% 0.62/1.04 cnf('0.187.0.0',plain,
% 0.62/1.04 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.108.2.0','0.183.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.187.0.1',plain,
% 0.62/1.04 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.187.0.0','0.109.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.187.0.2',plain,
% 0.62/1.04 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.187.0.1','0.113.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.187.0.3',plain,
% 0.62/1.04 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.187.0.2','0.108.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.187.1.0',plain,
% 0.62/1.04 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.187.0.3']),
% 0.62/1.04 [weight('<76,183,108,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.187.1.1',plain,
% 0.62/1.04 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.187.1.0','0.17.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.187.2.0',plain,
% 0.62/1.04 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.187.1.1',theory(equality)]),
% 0.62/1.04 [u,rule_182]).
% 0.62/1.04 cnf('0.188.0.0',plain,
% 0.62/1.04 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.187.2.0','0.112.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.188.0.1',plain,
% 0.62/1.04 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.188.0.0','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.188.1.0',plain,
% 0.62/1.04 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.188.0.1']),
% 0.62/1.04 [weight('<69,187,112,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.188.2.0',plain,
% 0.62/1.04 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.188.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_183]).
% 0.62/1.04 cnf('0.189.0.0',plain,
% 0.62/1.04 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.188.2.0','0.4.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.189.1.0',plain,
% 0.62/1.04 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.189.0.0']),
% 0.62/1.04 [weight('<69,188,4,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.189.2.0',plain,
% 0.62/1.04 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_184]).
% 0.62/1.04 cnf('0.190.0.0',plain,
% 0.62/1.04 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.189.2.0','0.85.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.190.0.1',plain,
% 0.62/1.04 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.190.0.0','0.73.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.190.1.0',plain,
% 0.62/1.04 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.190.0.1']),
% 0.62/1.04 [weight('<71,189,85,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.190.1.1',plain,
% 0.62/1.04 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.190.1.0','0.17.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.190.2.0',plain,
% 0.62/1.04 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.190.1.1',theory(equality)]),
% 0.62/1.04 [u,rule_185]).
% 0.62/1.04 cnf('0.191.0.0',plain,
% 0.62/1.04 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.109.2.0','0.190.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.191.0.1',plain,
% 0.62/1.04 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.191.0.0','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.1.1.1.1','L')]).
% 0.62/1.04 cnf('0.191.0.2',plain,
% 0.62/1.04 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.191.0.1','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.191.1.0',plain,
% 0.62/1.04 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.191.0.2']),
% 0.62/1.04 [weight('<71,190,109,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.191.2.0',plain,
% 0.62/1.04 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.191.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_186]).
% 0.62/1.04 cnf('0.203.0.0',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.24.2.0','0.191.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.203.0.1',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.203.0.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.1.1.1.1','L')]).
% 0.62/1.04 cnf('0.203.0.2',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.203.0.1','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.203.1.0',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.203.0.2']),
% 0.62/1.04 [weight('<71,191,24,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.203.2.0',plain,
% 0.62/1.04 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.203.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_198]).
% 0.62/1.04 cnf('0.206.0.0',plain,
% 0.62/1.04 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.108.2.0','0.203.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.206.0.1',plain,
% 0.62/1.04 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.206.0.0','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.1.1.1.1','L')]).
% 0.62/1.04 cnf('0.206.0.2',plain,
% 0.62/1.04 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.206.0.1','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.206.1.0',plain,
% 0.62/1.04 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.206.0.2']),
% 0.62/1.04 [weight('<71,203,108,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.206.1.1',plain,
% 0.62/1.04 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.206.1.0','0.17.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.206.2.0',plain,
% 0.62/1.04 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.206.1.1',theory(equality)]),
% 0.62/1.04 [u,rule_201]).
% 0.62/1.04 cnf('0.213.0.0',plain,
% 0.62/1.04 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.188.2.0','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2.2','L')]).
% 0.62/1.04 cnf('0.213.1.0',plain,
% 0.62/1.04 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.213.0.0']),
% 0.62/1.04 [weight('<76,188,67,[1,0,0,4]>')]).
% 0.62/1.04 cnf('0.213.2.0',plain,
% 0.62/1.04 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.213.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_208]).
% 0.62/1.04 cnf('0.214.0.0',plain,
% 0.62/1.04 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.213.2.0','0.85.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.2','L')]).
% 0.62/1.04 cnf('0.214.0.1',plain,
% 0.62/1.04 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.214.0.0','0.206.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.214.0.2',plain,
% 0.62/1.04 ( X1 = complement(converse(complement(converse(X1)))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.214.0.1','0.73.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('0.214.1.0',plain,
% 0.62/1.04 ( X1 = complement(converse(complement(converse(X1)))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.214.0.2']),
% 0.62/1.04 [weight('<41,213,85,[1,0,0,3]>')]).
% 0.62/1.04 cnf('0.214.2.0',plain,
% 0.62/1.04 ( complement(converse(complement(converse(X1)))) = X1 ),
% 0.62/1.04 inference(orient,[status(thm)],['0.214.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_209]).
% 0.62/1.04 cnf('0.215.0.0',plain,
% 0.62/1.04 ( converse(X1) = complement(converse(complement(X1))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.214.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.1.1','L')]).
% 0.62/1.04 cnf('0.215.1.0',plain,
% 0.62/1.04 ( converse(X1) = complement(converse(complement(X1))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.215.0.0']),
% 0.62/1.04 [weight('<34,214,3,[1,0,0,3]>')]).
% 0.62/1.04 cnf('0.215.2.0',plain,
% 0.62/1.04 ( complement(converse(complement(X1))) = converse(X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.215.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_210]).
% 0.62/1.04 cnf('0.216.0.0',plain,
% 0.62/1.04 ( converse(complement(X1)) = complement(converse(X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.67.2.0','0.215.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.216.1.0',plain,
% 0.62/1.04 ( converse(complement(X1)) = complement(converse(X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.216.0.0']),
% 0.62/1.04 [weight('<27,215,67,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.216.2.0',plain,
% 0.62/1.04 ( complement(converse(X1)) = converse(complement(X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_211]).
% 0.62/1.04 cnf('0.234.0.0',plain,
% 0.62/1.04 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.216.2.0','0.24.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.234.1.0',plain,
% 0.62/1.04 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.234.0.0']),
% 0.62/1.04 [weight('<83,216,24,[1,0,0,1]>')]).
% 0.62/1.04 cnf('0.234.2.0',plain,
% 0.62/1.04 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.234.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_229]).
% 0.62/1.04 cnf('0.258.0.0',plain,
% 0.62/1.04 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.113.2.0','0.216.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.258.1.0',plain,
% 0.62/1.04 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.258.0.0']),
% 0.62/1.04 [weight('<83,216,113,[0,0,0,1]>')]).
% 0.62/1.04 cnf('0.258.2.0',plain,
% 0.62/1.04 ( join(converse(complement(X1)),complement(X2)) = complement(meet(converse(X1),X2)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.258.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_253]).
% 0.62/1.04 cnf('0.259.0.0',plain,
% 0.62/1.04 ( complement(join(complement(X1),converse(complement(X2)))) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.234.2.0','0.258.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.1','L')]).
% 0.62/1.04 cnf('0.259.0.1',plain,
% 0.62/1.04 ( meet(complement(converse(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.259.0.0','0.108.2.0',theory(equality)]),
% 0.62/1.04 [pos('L','L')]).
% 0.62/1.04 cnf('0.259.0.2',plain,
% 0.62/1.04 ( meet(converse(complement(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.259.0.1','0.216.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('0.259.0.3',plain,
% 0.62/1.04 ( meet(converse(X2),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.259.0.2','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.1','L')]).
% 0.62/1.04 cnf('0.259.0.4',plain,
% 0.62/1.04 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['0.259.0.3','0.67.2.0',theory(equality)]),
% 0.62/1.04 [pos('R.1','L')]).
% 0.62/1.04 cnf('0.259.1.0',plain,
% 0.62/1.04 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.259.0.4']),
% 0.62/1.04 [weight('<59,258,234,[0,0,0,2]>')]).
% 0.62/1.04 cnf('0.259.2.0',plain,
% 0.62/1.04 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.259.1.0',theory(equality)]),
% 0.62/1.04 [x,rule_254]).
% 0.62/1.04 cnf('0.260.0.0',plain,
% 0.62/1.04 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 0.62/1.04 inference(cp,[status(thm)],['0.259.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1.1','L')]).
% 0.62/1.04 cnf('0.260.1.0',plain,
% 0.62/1.04 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 0.62/1.04 inference(weigh,[status(thm)],['0.260.0.0']),
% 0.62/1.04 [weight('<59,259,3,[1,0,0,2]>')]).
% 0.62/1.04 cnf('0.260.2.0',plain,
% 0.62/1.04 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 0.62/1.04 inference(orient,[status(thm)],['0.260.1.0',theory(equality)]),
% 0.62/1.04 [u,rule_255]).
% 0.62/1.04 cnf('1.0.0.0',conjecture,
% 0.62/1.04 ( converse(meet(sk1,sk2)) = meet(converse(sk1),converse(sk2)) ),
% 0.62/1.04 file('/tmp/WALDMEISTER_15824_n023',conjecture_1)).
% 0.62/1.04 cnf('1.0.0.1',plain,
% 0.62/1.04 ( converse(meet(sk2,sk1)) = meet(converse(sk1),converse(sk2)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.17.2.0',theory(equality)]),
% 0.62/1.04 [pos('L.1','L')]).
% 0.62/1.04 cnf('1.0.0.2',plain,
% 0.62/1.04 ( converse(meet(sk2,sk1)) = converse(meet(sk2,sk1)) ),
% 0.62/1.04 inference(reduction,[status(thm)],['1.0.0.1','0.260.2.0',theory(equality)]),
% 0.62/1.04 [pos('R','L')]).
% 0.62/1.04 cnf('1.0.0.3',plain,
% 0.62/1.04 ( $true ),
% 0.62/1.04 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.62/1.04 [conjecture_1]).
% 0.62/1.04
% 0.62/1.04 Proved Goals:
% 0.62/1.04 No. 1: converse(meet(sk1,sk2)) ?= meet(converse(sk1),converse(sk2)) joined, current: converse(meet(sk2,sk1)) = converse(meet(sk2,sk1))
% 0.62/1.04 1 goal was specified, which was proved.
% 0.62/1.04 % SZS output end CNFRefutation
% 0.62/1.04 #END OF PROOF
% 0.62/1.04
% 0.62/1.04 Problem WALDMEISTER_15824_n023
% 0.62/1.04 CPs.gen 10968
% 0.62/1.04 CPs.reexp 0
% 0.62/1.04 Select 1115
% 0.62/1.04 R 255
% 0.62/1.04 E 5
% 0.62/1.04 vsize 6.6M
% 0.62/1.04 rss 3.9M
% 0.62/1.04 process.time 0.043s
% 0.62/1.04 wallclock.time 0.043s
% 0.62/1.04 status S
% 0.62/1.04
% 0.62/1.04
% 0.62/1.04 Waldmeister states: Goal proved.
% 0.62/1.04 % SZS status Unsatisfiable
%------------------------------------------------------------------------------