TSTP Solution File: REL040-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL040-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n011.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 20:10:29 EDT 2022
% Result : Unsatisfiable 164.63s 165.05s
% Output : CNFRefutation 164.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL040-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 08:13:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) composition(sk1,meet(sk2,sk3)) ?=? meet(composition(sk1,sk2),composition(sk1,sk3))
% 0.59/0.99
% 0.59/0.99 Detected structure: Orkus
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 164.63/165.05 joined goal: 1 composition(sk1,meet(sk2,sk3)) ?= meet(composition(sk1,sk2),composition(sk1,sk3)) to composition(sk1,meet(sk3,sk2))
% 164.63/165.05 goal joined
% 164.63/165.05 % SZS status Unsatisfiable
% 164.63/165.05 #START OF PROOF
% 164.63/165.05 % SZS output start CNFRefutation
% 164.63/165.05 cnf('0.1.0.0',axiom,
% 164.63/165.05 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.1.1.0',plain,
% 164.63/165.05 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.1.0.0']),
% 164.63/165.05 [weight('<0,0,0,[0,0,0,1]>')]).
% 164.63/165.05 cnf('0.1.2.0',plain,
% 164.63/165.05 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_1]).
% 164.63/165.05 cnf('0.2.0.0',axiom,
% 164.63/165.05 ( X1 = composition(X1,one) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.2.1.0',plain,
% 164.63/165.05 ( X1 = composition(X1,one) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.2.0.0']),
% 164.63/165.05 [weight('<1,0,0,[0,0,0,2]>')]).
% 164.63/165.05 cnf('0.2.2.0',plain,
% 164.63/165.05 ( composition(X1,one) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_2]).
% 164.63/165.05 cnf('0.3.0.0',axiom,
% 164.63/165.05 ( X1 = converse(converse(X1)) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.3.1.0',plain,
% 164.63/165.05 ( X1 = converse(converse(X1)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.3.0.0']),
% 164.63/165.05 [weight('<2,0,0,[0,0,0,3]>')]).
% 164.63/165.05 cnf('0.3.2.0',plain,
% 164.63/165.05 ( converse(converse(X1)) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_3]).
% 164.63/165.05 cnf('0.4.0.0',axiom,
% 164.63/165.05 ( join(X1,X2) = join(X2,X1) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.4.1.0',plain,
% 164.63/165.05 ( join(X1,X2) = join(X2,X1) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.4.0.0']),
% 164.63/165.05 [weight('<3,0,0,[0,0,0,4]>')]).
% 164.63/165.05 cnf('0.4.2.0',plain,
% 164.63/165.05 ( join(X1,X2) = join(X2,X1) ),
% 164.63/165.05 inference(activate,[status(thm)],['0.4.1.0']),
% 164.63/165.05 [equation_1]).
% 164.63/165.05 cnf('0.5.0.0',axiom,
% 164.63/165.05 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.5.1.0',plain,
% 164.63/165.05 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.5.0.0']),
% 164.63/165.05 [weight('<4,0,0,[0,0,0,5]>')]).
% 164.63/165.05 cnf('0.5.2.0',plain,
% 164.63/165.05 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_4]).
% 164.63/165.05 cnf('0.6.0.0',axiom,
% 164.63/165.05 ( join(X1,complement(X1)) = top ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.6.1.0',plain,
% 164.63/165.05 ( join(X1,complement(X1)) = top ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.6.0.0']),
% 164.63/165.05 [weight('<5,0,0,[0,0,0,6]>')]).
% 164.63/165.05 cnf('0.6.2.0',plain,
% 164.63/165.05 ( join(X1,complement(X1)) = top ),
% 164.63/165.05 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_5]).
% 164.63/165.05 cnf('0.7.0.0',axiom,
% 164.63/165.05 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.7.1.0',plain,
% 164.63/165.05 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.7.0.0']),
% 164.63/165.05 [weight('<6,0,0,[0,0,0,7]>')]).
% 164.63/165.05 cnf('0.7.2.0',plain,
% 164.63/165.05 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_6]).
% 164.63/165.05 cnf('0.8.0.0',axiom,
% 164.63/165.05 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.8.1.0',plain,
% 164.63/165.05 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.8.0.0']),
% 164.63/165.05 [weight('<7,0,0,[0,0,0,8]>')]).
% 164.63/165.05 cnf('0.8.1.1',plain,
% 164.63/165.05 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.8.2.0',plain,
% 164.63/165.05 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 164.63/165.05 [u,rule_7]).
% 164.63/165.05 cnf('0.9.0.0',axiom,
% 164.63/165.05 ( join(composition(converse(sk1),sk1),one) = one ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.9.1.0',plain,
% 164.63/165.05 ( join(composition(converse(sk1),sk1),one) = one ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.9.0.0']),
% 164.63/165.05 [weight('<8,0,0,[0,0,0,9]>')]).
% 164.63/165.05 cnf('0.9.1.1',plain,
% 164.63/165.05 ( join(one,composition(converse(sk1),sk1)) = one ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.9.1.0','0.4.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.9.2.0',plain,
% 164.63/165.05 ( join(one,composition(converse(sk1),sk1)) = one ),
% 164.63/165.05 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 164.63/165.05 [u,rule_8]).
% 164.63/165.05 cnf('0.10.0.0',axiom,
% 164.63/165.05 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.10.1.0',plain,
% 164.63/165.05 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.10.0.0']),
% 164.63/165.05 [weight('<9,0,0,[0,0,0,10]>')]).
% 164.63/165.05 cnf('0.10.2.0',plain,
% 164.63/165.05 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_9]).
% 164.63/165.05 cnf('0.11.0.0',axiom,
% 164.63/165.05 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.11.1.0',plain,
% 164.63/165.05 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.11.0.0']),
% 164.63/165.05 [weight('<10,0,0,[0,0,0,11]>')]).
% 164.63/165.05 cnf('0.11.2.0',plain,
% 164.63/165.05 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_10]).
% 164.63/165.05 cnf('0.12.0.0',axiom,
% 164.63/165.05 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.12.1.0',plain,
% 164.63/165.05 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.12.0.0']),
% 164.63/165.05 [weight('<11,0,0,[0,0,0,12]>')]).
% 164.63/165.05 cnf('0.12.2.0',plain,
% 164.63/165.05 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_11]).
% 164.63/165.05 cnf('0.13.0.0',axiom,
% 164.63/165.05 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.13.1.0',plain,
% 164.63/165.05 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.13.0.0']),
% 164.63/165.05 [weight('<12,0,0,[0,0,0,13]>')]).
% 164.63/165.05 cnf('0.13.2.0',plain,
% 164.63/165.05 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_12]).
% 164.63/165.05 cnf('0.14.0.0',axiom,
% 164.63/165.05 ( meet(X1,complement(X1)) = zero ),
% 164.63/165.05 file('/tmp/WALDMEISTER_2656_n011')).
% 164.63/165.05 cnf('0.14.1.0',plain,
% 164.63/165.05 ( meet(X1,complement(X1)) = zero ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.14.0.0']),
% 164.63/165.05 [weight('<13,0,0,[0,0,0,14]>')]).
% 164.63/165.05 cnf('0.14.2.0',plain,
% 164.63/165.05 ( meet(X1,complement(X1)) = zero ),
% 164.63/165.05 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_13]).
% 164.63/165.05 cnf('0.15.0.0',plain,
% 164.63/165.05 ( meet(X1,complement(X1)) = complement(top) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.11.2.0','0.6.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.15.1.0',plain,
% 164.63/165.05 ( meet(X1,complement(X1)) = complement(top) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.15.0.0']),
% 164.63/165.05 [weight('<34,11,6,[1,0,0,1]>')]).
% 164.63/165.05 cnf('0.15.1.1',plain,
% 164.63/165.05 ( zero = complement(top) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.15.1.0','0.14.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.15.2.0',plain,
% 164.63/165.05 ( complement(top) = zero ),
% 164.63/165.05 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 164.63/165.05 [x,rule_14]).
% 164.63/165.05 cnf('0.18.0.0',plain,
% 164.63/165.05 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.11.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.18.0.1',plain,
% 164.63/165.05 ( meet(X1,X2) = meet(X2,X1) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.18.0.0','0.11.2.0',theory(equality)]),
% 164.63/165.05 [pos('R','L')]).
% 164.63/165.05 cnf('0.18.1.0',plain,
% 164.63/165.05 ( meet(X1,X2) = meet(X2,X1) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.18.0.1']),
% 164.63/165.05 [weight('<48,11,4,[1,0,0,1]>')]).
% 164.63/165.05 cnf('0.18.2.0',plain,
% 164.63/165.05 ( meet(X1,X2) = meet(X2,X1) ),
% 164.63/165.05 inference(activate,[status(thm)],['0.18.1.0']),
% 164.63/165.05 [equation_2]).
% 164.63/165.05 cnf('0.20.0.0',plain,
% 164.63/165.05 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.11.2.0','0.15.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1.1','L')]).
% 164.63/165.05 cnf('0.20.1.0',plain,
% 164.63/165.05 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.20.0.0']),
% 164.63/165.05 [weight('<53,15,11,[0,0,0,2]>')]).
% 164.63/165.05 cnf('0.20.2.0',plain,
% 164.63/165.05 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_18]).
% 164.63/165.05 cnf('0.25.0.0',plain,
% 164.63/165.05 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.25.1.0',plain,
% 164.63/165.05 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.25.0.0']),
% 164.63/165.05 [weight('<59,10,3,[1,0,0,1]>')]).
% 164.63/165.05 cnf('0.25.2.0',plain,
% 164.63/165.05 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_23]).
% 164.63/165.05 cnf('0.26.0.0',plain,
% 164.63/165.05 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.2','L')]).
% 164.63/165.05 cnf('0.26.1.0',plain,
% 164.63/165.05 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.26.0.0']),
% 164.63/165.05 [weight('<59,10,3,[1,0,0,3]>')]).
% 164.63/165.05 cnf('0.26.2.0',plain,
% 164.63/165.05 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_24]).
% 164.63/165.05 cnf('0.27.0.0',plain,
% 164.63/165.05 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.13.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.27.1.0',plain,
% 164.63/165.05 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.27.0.0']),
% 164.63/165.05 [weight('<59,13,3,[1,0,0,1]>')]).
% 164.63/165.05 cnf('0.27.2.0',plain,
% 164.63/165.05 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_25]).
% 164.63/165.05 cnf('0.28.0.0',plain,
% 164.63/165.05 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.13.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.2','L')]).
% 164.63/165.05 cnf('0.28.1.0',plain,
% 164.63/165.05 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.28.0.0']),
% 164.63/165.05 [weight('<59,13,3,[1,0,0,3]>')]).
% 164.63/165.05 cnf('0.28.2.0',plain,
% 164.63/165.05 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_26]).
% 164.63/165.05 cnf('0.29.0.0',plain,
% 164.63/165.05 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.28.2.0','0.2.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.29.0.1',plain,
% 164.63/165.05 ( composition(converse(one),X1) = X1 ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.29.0.0','0.3.2.0',theory(equality)]),
% 164.63/165.05 [pos('R','L')]).
% 164.63/165.05 cnf('0.29.1.0',plain,
% 164.63/165.05 ( composition(converse(one),X1) = X1 ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.29.0.1']),
% 164.63/165.05 [weight('<29,28,2,[1,0,0,1]>')]).
% 164.63/165.05 cnf('0.29.2.0',plain,
% 164.63/165.05 ( composition(converse(one),X1) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_27]).
% 164.63/165.05 cnf('0.30.0.0',plain,
% 164.63/165.05 ( one = converse(one) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.29.2.0','0.2.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.30.1.0',plain,
% 164.63/165.05 ( one = converse(one) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.30.0.0']),
% 164.63/165.05 [weight('<11,29,2,[1,0,0,0]>')]).
% 164.63/165.05 cnf('0.30.2.0',plain,
% 164.63/165.05 ( converse(one) = one ),
% 164.63/165.05 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_28]).
% 164.63/165.05 cnf('0.31.0.0',plain,
% 164.63/165.05 ( composition(converse(one),X1) = X1 ),
% 164.63/165.05 inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 164.63/165.05 cnf('0.31.0.1',plain,
% 164.63/165.05 ( composition(one,X1) = X1 ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.31.1.0',plain,
% 164.63/165.05 ( composition(one,X1) = X1 ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.31.0.1']),
% 164.63/165.05 [weight('<19,29,30,[0,0,0,0]>')]).
% 164.63/165.05 cnf('0.31.2.0',plain,
% 164.63/165.05 ( composition(one,X1) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_29]).
% 164.63/165.05 cnf('0.32.0.0',plain,
% 164.63/165.05 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.10.2.0','0.30.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.32.1.0',plain,
% 164.63/165.05 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.32.0.0']),
% 164.63/165.05 [weight('<44,30,10,[0,0,0,1]>')]).
% 164.63/165.05 cnf('0.32.2.0',plain,
% 164.63/165.05 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_30]).
% 164.63/165.05 cnf('0.34.0.0',plain,
% 164.63/165.05 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.8.2.0','0.31.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.2.2.1','L')]).
% 164.63/165.05 cnf('0.34.0.1',plain,
% 164.63/165.05 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.34.0.0','0.30.2.0',theory(equality)]),
% 164.63/165.05 [pos('R.2.1','L')]).
% 164.63/165.05 cnf('0.34.0.2',plain,
% 164.63/165.05 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.34.0.1','0.31.2.0',theory(equality)]),
% 164.63/165.05 [pos('R.2','L')]).
% 164.63/165.05 cnf('0.34.1.0',plain,
% 164.63/165.05 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.34.0.2']),
% 164.63/165.05 [weight('<47,31,8,[0,0,0,7]>')]).
% 164.63/165.05 cnf('0.34.2.0',plain,
% 164.63/165.05 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_32]).
% 164.63/165.05 cnf('0.35.0.0',plain,
% 164.63/165.05 ( complement(top) = join(zero,complement(top)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.34.2.0','0.15.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.35.0.1',plain,
% 164.63/165.05 ( zero = join(zero,complement(top)) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.35.0.0','0.15.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.35.0.2',plain,
% 164.63/165.05 ( zero = join(zero,zero) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.35.0.1','0.15.2.0',theory(equality)]),
% 164.63/165.05 [pos('R.2','L')]).
% 164.63/165.05 cnf('0.35.1.0',plain,
% 164.63/165.05 ( zero = join(zero,zero) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.35.0.2']),
% 164.63/165.05 [weight('<19,34,15,[1,0,0,1]>')]).
% 164.63/165.05 cnf('0.35.2.0',plain,
% 164.63/165.05 ( join(zero,zero) = zero ),
% 164.63/165.05 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_33]).
% 164.63/165.05 cnf('0.38.0.0',plain,
% 164.63/165.05 ( meet(X1,X1) = complement(complement(X1)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.11.2.0','0.34.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.38.1.0',plain,
% 164.63/165.05 ( meet(X1,X1) = complement(complement(X1)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.38.0.0']),
% 164.63/165.05 [weight('<48,34,11,[0,0,0,1]>')]).
% 164.63/165.05 cnf('0.38.2.0',plain,
% 164.63/165.05 ( meet(X1,X1) = complement(complement(X1)) ),
% 164.63/165.05 inference(activate,[status(thm)],['0.38.1.0']),
% 164.63/165.05 [equation_3]).
% 164.63/165.05 cnf('0.39.0.0',plain,
% 164.63/165.05 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.5.2.0','0.35.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.39.1.0',plain,
% 164.63/165.05 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.39.0.0']),
% 164.63/165.05 [weight('<53,35,5,[0,0,0,1]>')]).
% 164.63/165.05 cnf('0.39.2.0',plain,
% 164.63/165.05 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_36]).
% 164.63/165.05 cnf('0.40.0.0',plain,
% 164.63/165.05 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.39.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.2','L')]).
% 164.63/165.05 cnf('0.40.1.0',plain,
% 164.63/165.05 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.40.0.0']),
% 164.63/165.05 [weight('<53,39,4,[1,0,0,2]>')]).
% 164.63/165.05 cnf('0.40.2.0',plain,
% 164.63/165.05 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_37]).
% 164.63/165.05 cnf('0.43.0.0',plain,
% 164.63/165.05 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.25.2.0','0.6.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.43.1.0',plain,
% 164.63/165.05 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.43.0.0']),
% 164.63/165.05 [weight('<62,25,6,[1,0,0,1]>')]).
% 164.63/165.05 cnf('0.43.2.0',plain,
% 164.63/165.05 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_40]).
% 164.63/165.05 cnf('0.46.0.0',plain,
% 164.63/165.05 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.7.2.0','0.31.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.46.1.0',plain,
% 164.63/165.05 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.46.0.0']),
% 164.63/165.05 [weight('<65,31,7,[0,0,0,1]>')]).
% 164.63/165.05 cnf('0.46.2.0',plain,
% 164.63/165.05 ( join(X1,composition(X2,X1)) = composition(join(one,X2),X1) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_43]).
% 164.63/165.05 cnf('0.47.0.0',plain,
% 164.63/165.05 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.47.1.0',plain,
% 164.63/165.05 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.47.0.0']),
% 164.63/165.05 [weight('<69,6,5,[0,0,0,1]>')]).
% 164.63/165.05 cnf('0.47.2.0',plain,
% 164.63/165.05 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 164.63/165.05 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_44]).
% 164.63/165.05 cnf('0.48.0.0',plain,
% 164.63/165.05 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.47.2.0','0.34.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.2','L')]).
% 164.63/165.05 cnf('0.48.0.1',plain,
% 164.63/165.05 ( join(top,complement(X1)) = top ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.48.0.0','0.6.2.0',theory(equality)]),
% 164.63/165.05 [pos('R','L')]).
% 164.63/165.05 cnf('0.48.1.0',plain,
% 164.63/165.05 ( join(top,complement(X1)) = top ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.48.0.1']),
% 164.63/165.05 [weight('<29,47,34,[1,0,0,2]>')]).
% 164.63/165.05 cnf('0.48.2.0',plain,
% 164.63/165.05 ( join(top,complement(X1)) = top ),
% 164.63/165.05 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_45]).
% 164.63/165.05 cnf('0.51.0.0',plain,
% 164.63/165.05 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.47.2.0','0.6.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.2','L')]).
% 164.63/165.05 cnf('0.51.1.0',plain,
% 164.63/165.05 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.51.0.0']),
% 164.63/165.05 [weight('<53,47,6,[1,0,0,2]>')]).
% 164.63/165.05 cnf('0.51.1.1',plain,
% 164.63/165.05 ( top = join(X1,top) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.51.1.0','0.48.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.51.2.0',plain,
% 164.63/165.05 ( join(X1,top) = top ),
% 164.63/165.05 inference(orient,[status(thm)],['0.51.1.1',theory(equality)]),
% 164.63/165.05 [x,rule_48]).
% 164.63/165.05 cnf('0.52.0.0',plain,
% 164.63/165.05 ( top = join(top,X1) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.51.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.52.1.0',plain,
% 164.63/165.05 ( top = join(top,X1) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.52.0.0']),
% 164.63/165.05 [weight('<19,51,4,[1,0,0,0]>')]).
% 164.63/165.05 cnf('0.52.2.0',plain,
% 164.63/165.05 ( join(top,X1) = top ),
% 164.63/165.05 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_49]).
% 164.63/165.05 cnf('0.53.0.0',plain,
% 164.63/165.05 ( top = converse(top) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.52.2.0','0.43.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.53.1.0',plain,
% 164.63/165.05 ( top = converse(top) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.53.0.0']),
% 164.63/165.05 [weight('<11,52,43,[1,0,0,0]>')]).
% 164.63/165.05 cnf('0.53.2.0',plain,
% 164.63/165.05 ( converse(top) = top ),
% 164.63/165.05 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_50]).
% 164.63/165.05 cnf('0.55.0.0',plain,
% 164.63/165.05 ( top = composition(join(one,X1),top) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.52.2.0','0.46.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.55.1.0',plain,
% 164.63/165.05 ( top = composition(join(one,X1),top) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.55.0.0']),
% 164.63/165.05 [weight('<41,52,46,[1,0,0,0]>')]).
% 164.63/165.05 cnf('0.55.2.0',plain,
% 164.63/165.05 ( composition(join(one,X1),top) = top ),
% 164.63/165.05 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_52]).
% 164.63/165.05 cnf('0.56.0.0',plain,
% 164.63/165.05 ( top = composition(top,top) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.55.2.0','0.6.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.56.1.0',plain,
% 164.63/165.05 ( top = composition(top,top) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.56.0.0']),
% 164.63/165.05 [weight('<19,55,6,[1,0,0,1]>')]).
% 164.63/165.05 cnf('0.56.2.0',plain,
% 164.63/165.05 ( composition(top,top) = top ),
% 164.63/165.05 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_53]).
% 164.63/165.05 cnf('0.57.0.0',plain,
% 164.63/165.05 ( complement(top) = join(complement(top),composition(converse(top),complement(top))) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.8.2.0','0.56.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.2.2.1','L')]).
% 164.63/165.05 cnf('0.57.0.1',plain,
% 164.63/165.05 ( zero = join(complement(top),composition(converse(top),complement(top))) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.57.0.0','0.15.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.57.0.2',plain,
% 164.63/165.05 ( zero = composition(join(one,converse(top)),complement(top)) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.57.0.1','0.46.2.0',theory(equality)]),
% 164.63/165.05 [pos('R','L')]).
% 164.63/165.05 cnf('0.57.0.3',plain,
% 164.63/165.05 ( zero = composition(join(one,top),complement(top)) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.57.0.2','0.53.2.0',theory(equality)]),
% 164.63/165.05 [pos('R.1.2','L')]).
% 164.63/165.05 cnf('0.57.0.4',plain,
% 164.63/165.05 ( zero = composition(top,complement(top)) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.57.0.3','0.51.2.0',theory(equality)]),
% 164.63/165.05 [pos('R.1','L')]).
% 164.63/165.05 cnf('0.57.0.5',plain,
% 164.63/165.05 ( zero = composition(top,zero) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.57.0.4','0.15.2.0',theory(equality)]),
% 164.63/165.05 [pos('R.2','L')]).
% 164.63/165.05 cnf('0.57.1.0',plain,
% 164.63/165.05 ( zero = composition(top,zero) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.57.0.5']),
% 164.63/165.05 [weight('<19,56,8,[0,0,0,7]>')]).
% 164.63/165.05 cnf('0.57.2.0',plain,
% 164.63/165.05 ( composition(top,zero) = zero ),
% 164.63/165.05 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_54]).
% 164.63/165.05 cnf('0.59.0.0',plain,
% 164.63/165.05 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 164.63/165.05 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 164.63/165.05 cnf('0.59.1.0',plain,
% 164.63/165.05 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.59.0.0']),
% 164.63/165.05 [weight('<?,1,4,[0,0,0,0]>')]).
% 164.63/165.05 cnf('0.59.1.1',plain,
% 164.63/165.05 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.59.1.0','0.4.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.59.1.2',plain,
% 164.63/165.05 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.59.1.1','0.11.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.2','L')]).
% 164.63/165.05 cnf('0.59.1.3',plain,
% 164.63/165.05 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.59.1.2','0.4.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.59.2.0',plain,
% 164.63/165.05 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.59.1.3',theory(equality)]),
% 164.63/165.05 [u,rule_56]).
% 164.63/165.05 cnf('0.61.0.0',plain,
% 164.63/165.05 ( composition(join(top,X1),zero) = join(zero,composition(X1,zero)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.7.2.0','0.57.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.61.0.1',plain,
% 164.63/165.05 ( composition(top,zero) = join(zero,composition(X1,zero)) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.61.0.0','0.52.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.61.0.2',plain,
% 164.63/165.05 ( zero = join(zero,composition(X1,zero)) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.61.0.1','0.57.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.61.0.3',plain,
% 164.63/165.05 ( zero = composition(join(one,X1),zero) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.61.0.2','0.46.2.0',theory(equality)]),
% 164.63/165.05 [pos('R','L')]).
% 164.63/165.05 cnf('0.61.1.0',plain,
% 164.63/165.05 ( zero = composition(join(one,X1),zero) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.61.0.3']),
% 164.63/165.05 [weight('<41,57,7,[0,0,0,1]>')]).
% 164.63/165.05 cnf('0.61.2.0',plain,
% 164.63/165.05 ( composition(join(one,X1),zero) = zero ),
% 164.63/165.05 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_58]).
% 164.63/165.05 cnf('0.62.0.0',plain,
% 164.63/165.05 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.59.2.0','0.14.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.62.0.1',plain,
% 164.63/165.05 ( X1 = join(zero,meet(X1,X1)) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.62.0.0','0.11.2.0',theory(equality)]),
% 164.63/165.05 [pos('R.2','L')]).
% 164.63/165.05 cnf('0.62.1.0',plain,
% 164.63/165.05 ( X1 = join(zero,meet(X1,X1)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.62.0.1']),
% 164.63/165.05 [weight('<41,59,14,[1,0,0,1]>')]).
% 164.63/165.05 cnf('0.62.2.0',plain,
% 164.63/165.05 ( join(zero,meet(X1,X1)) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_59]).
% 164.63/165.05 cnf('0.63.0.0',plain,
% 164.63/165.05 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.39.2.0','0.62.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.2','L')]).
% 164.63/165.05 cnf('0.63.0.1',plain,
% 164.63/165.05 ( X1 = join(zero,X1) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.63.0.0','0.62.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.63.1.0',plain,
% 164.63/165.05 ( X1 = join(zero,X1) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.63.0.1']),
% 164.63/165.05 [weight('<19,62,39,[0,0,0,2]>')]).
% 164.63/165.05 cnf('0.63.2.0',plain,
% 164.63/165.05 ( join(zero,X1) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_60]).
% 164.63/165.05 cnf('0.64.0.0',plain,
% 164.63/165.05 ( complement(zero) = top ),
% 164.63/165.05 inference(cp,[status(thm)],['0.63.2.0','0.6.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.64.1.0',plain,
% 164.63/165.05 ( complement(zero) = top ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.64.0.0']),
% 164.63/165.05 [weight('<11,63,6,[1,0,0,0]>')]).
% 164.63/165.05 cnf('0.64.2.0',plain,
% 164.63/165.05 ( complement(zero) = top ),
% 164.63/165.05 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_61]).
% 164.63/165.05 cnf('0.66.0.0',plain,
% 164.63/165.05 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 164.63/165.05 inference(interreduction_right,[status(thm)],['0.40.2.0'])).
% 164.63/165.05 cnf('0.66.0.1',plain,
% 164.63/165.05 ( join(X1,zero) = join(zero,X1) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.66.0.0','0.63.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.66.0.2',plain,
% 164.63/165.05 ( join(X1,zero) = X1 ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.66.0.1','0.63.2.0',theory(equality)]),
% 164.63/165.05 [pos('R','L')]).
% 164.63/165.05 cnf('0.66.1.0',plain,
% 164.63/165.05 ( join(X1,zero) = X1 ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.66.0.2']),
% 164.63/165.05 [weight('<19,40,63,[0,0,0,0]>')]).
% 164.63/165.05 cnf('0.66.2.0',plain,
% 164.63/165.05 ( join(X1,zero) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_63]).
% 164.63/165.05 cnf('0.67.0.0',plain,
% 164.63/165.05 ( join(zero,meet(X1,X1)) = X1 ),
% 164.63/165.05 inference(interreduction_right,[status(thm)],['0.62.2.0'])).
% 164.63/165.05 cnf('0.67.0.1',plain,
% 164.63/165.05 ( meet(X1,X1) = X1 ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.67.0.0','0.63.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.67.1.0',plain,
% 164.63/165.05 ( meet(X1,X1) = X1 ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.67.0.1']),
% 164.63/165.05 [weight('<19,62,63,[0,0,0,0]>')]).
% 164.63/165.05 cnf('0.67.2.0',plain,
% 164.63/165.05 ( meet(X1,X1) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_64]).
% 164.63/165.05 cnf('0.68.0.0',plain,
% 164.63/165.05 ( meet(X1,X1) = complement(complement(X1)) ),
% 164.63/165.05 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 164.63/165.05 cnf('0.68.0.1',plain,
% 164.63/165.05 ( X1 = complement(complement(X1)) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.68.0.0','0.67.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.68.1.0',plain,
% 164.63/165.05 ( X1 = complement(complement(X1)) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.68.0.1']),
% 164.63/165.05 [weight('<19,38,67,[0,0,0,0]>')]).
% 164.63/165.05 cnf('0.68.2.0',plain,
% 164.63/165.05 ( complement(complement(X1)) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_65]).
% 164.63/165.05 cnf('0.69.0.0',plain,
% 164.63/165.05 ( composition(X1,zero) = composition(join(one,X1),zero) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.63.2.0','0.46.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.69.0.1',plain,
% 164.63/165.05 ( composition(X1,zero) = zero ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.69.0.0','0.61.2.0',theory(equality)]),
% 164.63/165.05 [pos('R','L')]).
% 164.63/165.05 cnf('0.69.1.0',plain,
% 164.63/165.05 ( composition(X1,zero) = zero ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.69.0.1']),
% 164.63/165.05 [weight('<19,63,46,[1,0,0,0]>')]).
% 164.63/165.05 cnf('0.69.2.0',plain,
% 164.63/165.05 ( composition(X1,zero) = zero ),
% 164.63/165.05 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 164.63/165.05 [u,rule_66]).
% 164.63/165.05 cnf('0.72.0.0',plain,
% 164.63/165.05 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.34.2.0','0.68.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.72.0.1',plain,
% 164.63/165.05 ( X1 = join(X1,complement(complement(X1))) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.72.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.72.0.2',plain,
% 164.63/165.05 ( X1 = join(X1,X1) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.72.0.1','0.68.2.0',theory(equality)]),
% 164.63/165.05 [pos('R.2','L')]).
% 164.63/165.05 cnf('0.72.1.0',plain,
% 164.63/165.05 ( X1 = join(X1,X1) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.72.0.2']),
% 164.63/165.05 [weight('<19,68,34,[0,0,0,1]>')]).
% 164.63/165.05 cnf('0.72.2.0',plain,
% 164.63/165.05 ( join(X1,X1) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_69]).
% 164.63/165.05 cnf('0.73.0.0',plain,
% 164.63/165.05 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 164.63/165.05 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 164.63/165.05 cnf('0.73.0.1',plain,
% 164.63/165.05 ( complement(complement(X1)) = meet(top,X1) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.73.0.0','0.63.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.73.1.0',plain,
% 164.63/165.05 ( complement(complement(X1)) = meet(top,X1) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.73.0.1']),
% 164.63/165.05 [weight('<27,20,63,[0,0,0,0]>')]).
% 164.63/165.05 cnf('0.73.1.1',plain,
% 164.63/165.05 ( X1 = meet(top,X1) ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.73.1.0','0.68.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.73.2.0',plain,
% 164.63/165.05 ( meet(top,X1) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.73.1.1',theory(equality)]),
% 164.63/165.05 [x,rule_70]).
% 164.63/165.05 cnf('0.74.0.0',plain,
% 164.63/165.05 ( X1 = meet(X1,top) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.73.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.05 [pos('L','L')]).
% 164.63/165.05 cnf('0.74.1.0',plain,
% 164.63/165.05 ( X1 = meet(X1,top) ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.74.0.0']),
% 164.63/165.05 [weight('<19,73,18,[1,0,0,0]>')]).
% 164.63/165.05 cnf('0.74.2.0',plain,
% 164.63/165.05 ( meet(X1,top) = X1 ),
% 164.63/165.05 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 164.63/165.05 [x,rule_71]).
% 164.63/165.05 cnf('0.75.0.0',plain,
% 164.63/165.05 ( join(converse(zero),X1) = converse(converse(X1)) ),
% 164.63/165.05 inference(cp,[status(thm)],['0.26.2.0','0.63.2.0',theory(equality)]),
% 164.63/165.05 [pos('L.1','L')]).
% 164.63/165.05 cnf('0.75.0.1',plain,
% 164.63/165.05 ( join(converse(zero),X1) = X1 ),
% 164.63/165.05 inference(reduction,[status(thm)],['0.75.0.0','0.3.2.0',theory(equality)]),
% 164.63/165.05 [pos('R','L')]).
% 164.63/165.05 cnf('0.75.1.0',plain,
% 164.63/165.05 ( join(converse(zero),X1) = X1 ),
% 164.63/165.05 inference(weigh,[status(thm)],['0.75.0.1']),
% 164.63/165.05 [weight('<29,63,26,[0,0,0,1]>')]).
% 164.63/165.05 cnf('0.75.2.0',plain,
% 164.63/165.05 ( join(converse(zero),X1) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_72]).
% 164.63/165.06 cnf('0.76.0.0',plain,
% 164.63/165.06 ( zero = converse(zero) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.75.2.0','0.66.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.76.1.0',plain,
% 164.63/165.06 ( zero = converse(zero) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.76.0.0']),
% 164.63/165.06 [weight('<11,75,66,[1,0,0,0]>')]).
% 164.63/165.06 cnf('0.76.2.0',plain,
% 164.63/165.06 ( converse(zero) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_73]).
% 164.63/165.06 cnf('0.79.0.0',plain,
% 164.63/165.06 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.13.2.0','0.53.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.79.1.0',plain,
% 164.63/165.06 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.79.0.0']),
% 164.63/165.06 [weight('<44,53,13,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.79.2.0',plain,
% 164.63/165.06 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_76]).
% 164.63/165.06 cnf('0.80.0.0',plain,
% 164.63/165.06 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.13.2.0','0.53.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.80.1.0',plain,
% 164.63/165.06 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.80.0.0']),
% 164.63/165.06 [weight('<44,53,13,[0,0,0,3]>')]).
% 164.63/165.06 cnf('0.80.2.0',plain,
% 164.63/165.06 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_77]).
% 164.63/165.06 cnf('0.81.0.0',plain,
% 164.63/165.06 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.12.2.0','0.56.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.81.1.0',plain,
% 164.63/165.06 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.81.0.0']),
% 164.63/165.06 [weight('<53,56,12,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.81.2.0',plain,
% 164.63/165.06 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_78]).
% 164.63/165.06 cnf('0.82.0.0',plain,
% 164.63/165.06 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.5.2.0','0.72.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.82.1.0',plain,
% 164.63/165.06 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.82.0.0']),
% 164.63/165.06 [weight('<53,72,5,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.82.2.0',plain,
% 164.63/165.06 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_79]).
% 164.63/165.06 cnf('0.83.0.0',plain,
% 164.63/165.06 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.82.2.0','0.59.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.83.0.1',plain,
% 164.63/165.06 ( X1 = join(meet(X1,X2),X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.83.0.0','0.59.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.83.1.0',plain,
% 164.63/165.06 ( X1 = join(meet(X1,X2),X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.83.0.1']),
% 164.63/165.06 [weight('<41,82,59,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.83.1.1',plain,
% 164.63/165.06 ( X1 = join(X1,meet(X1,X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.83.1.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.83.2.0',plain,
% 164.63/165.06 ( join(X1,meet(X1,X2)) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.83.1.1',theory(equality)]),
% 164.63/165.06 [x,rule_80]).
% 164.63/165.06 cnf('0.84.0.0',plain,
% 164.63/165.06 ( X1 = join(X1,meet(X2,X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.83.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.84.1.0',plain,
% 164.63/165.06 ( X1 = join(X1,meet(X2,X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.84.0.0']),
% 164.63/165.06 [weight('<41,83,18,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.84.2.0',plain,
% 164.63/165.06 ( join(X1,meet(X2,X1)) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_81]).
% 164.63/165.06 cnf('0.85.0.0',plain,
% 164.63/165.06 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.82.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.85.1.0',plain,
% 164.63/165.06 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.85.0.0']),
% 164.63/165.06 [weight('<53,82,4,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.85.2.0',plain,
% 164.63/165.06 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_82]).
% 164.63/165.06 cnf('0.86.0.0',plain,
% 164.63/165.06 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 164.63/165.06 inference(interreduction_right,[status(thm)],['0.43.2.0'])).
% 164.63/165.06 cnf('0.86.0.1',plain,
% 164.63/165.06 ( join(X1,converse(complement(converse(X1)))) = top ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.86.0.0','0.53.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.86.1.0',plain,
% 164.63/165.06 ( join(X1,converse(complement(converse(X1)))) = top ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.86.0.1']),
% 164.63/165.06 [weight('<55,43,53,[0,0,0,0]>')]).
% 164.63/165.06 cnf('0.86.2.0',plain,
% 164.63/165.06 ( join(X1,converse(complement(converse(X1)))) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_83]).
% 164.63/165.06 cnf('0.87.0.0',plain,
% 164.63/165.06 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 164.63/165.06 inference(interreduction_right,[status(thm)],['0.47.2.0'])).
% 164.63/165.06 cnf('0.87.0.1',plain,
% 164.63/165.06 ( join(X1,join(complement(X1),X2)) = top ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.87.0.0','0.52.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.87.1.0',plain,
% 164.63/165.06 ( join(X1,join(complement(X1),X2)) = top ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.87.0.1']),
% 164.63/165.06 [weight('<55,47,52,[0,0,0,0]>')]).
% 164.63/165.06 cnf('0.87.2.0',plain,
% 164.63/165.06 ( join(X1,join(complement(X1),X2)) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_84]).
% 164.63/165.06 cnf('0.88.0.0',plain,
% 164.63/165.06 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.59.2.0','0.87.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.88.0.1',plain,
% 164.63/165.06 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.88.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1.2.1','L')]).
% 164.63/165.06 cnf('0.88.0.2',plain,
% 164.63/165.06 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.88.0.1','0.15.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.88.0.3',plain,
% 164.63/165.06 ( X1 = meet(X1,join(X1,X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.88.0.2','0.66.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.88.1.0',plain,
% 164.63/165.06 ( X1 = meet(X1,join(X1,X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.88.0.3']),
% 164.63/165.06 [weight('<41,87,59,[0,0,0,5]>')]).
% 164.63/165.06 cnf('0.88.2.0',plain,
% 164.63/165.06 ( meet(X1,join(X1,X2)) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_85]).
% 164.63/165.06 cnf('0.89.0.0',plain,
% 164.63/165.06 ( X1 = meet(X1,join(X2,X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.88.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.89.1.0',plain,
% 164.63/165.06 ( X1 = meet(X1,join(X2,X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.89.0.0']),
% 164.63/165.06 [weight('<41,88,4,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.89.2.0',plain,
% 164.63/165.06 ( meet(X1,join(X2,X1)) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_86]).
% 164.63/165.06 cnf('0.90.0.0',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.88.2.0','0.59.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.90.1.0',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(meet(X1,X2),X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.90.0.0']),
% 164.63/165.06 [weight('<53,88,59,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.90.1.1',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(X1,meet(X1,X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.90.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.90.2.0',plain,
% 164.63/165.06 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.90.1.1',theory(equality)]),
% 164.63/165.06 [x,rule_87]).
% 164.63/165.06 cnf('0.91.0.0',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.89.2.0','0.84.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.91.1.0',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.91.0.0']),
% 164.63/165.06 [weight('<53,89,84,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.91.1.1',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.91.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.91.2.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.91.1.1',theory(equality)]),
% 164.63/165.06 [x,rule_88]).
% 164.63/165.06 cnf('0.97.0.0',plain,
% 164.63/165.06 ( top = join(X1,join(X2,complement(X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.87.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.97.1.0',plain,
% 164.63/165.06 ( top = join(X1,join(X2,complement(X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.97.0.0']),
% 164.63/165.06 [weight('<55,87,4,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.97.2.0',plain,
% 164.63/165.06 ( join(X1,join(X2,complement(X1))) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_94]).
% 164.63/165.06 cnf('0.98.0.0',plain,
% 164.63/165.06 ( top = join(complement(X1),join(X1,X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.87.2.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.98.1.0',plain,
% 164.63/165.06 ( top = join(complement(X1),join(X1,X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.98.0.0']),
% 164.63/165.06 [weight('<55,87,68,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.98.2.0',plain,
% 164.63/165.06 ( join(complement(X1),join(X1,X2)) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_95]).
% 164.63/165.06 cnf('0.99.0.0',plain,
% 164.63/165.06 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.85.2.0','0.87.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.99.0.1',plain,
% 164.63/165.06 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.99.0.0','0.5.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.99.0.2',plain,
% 164.63/165.06 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.99.0.1','0.5.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.99.0.3',plain,
% 164.63/165.06 ( join(complement(X1),join(X2,X1)) = join(complement(X1),top) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.99.0.2','0.51.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.99.0.4',plain,
% 164.63/165.06 ( join(complement(X1),join(X2,X1)) = top ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.99.0.3','0.51.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.99.1.0',plain,
% 164.63/165.06 ( join(complement(X1),join(X2,X1)) = top ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.99.0.4']),
% 164.63/165.06 [weight('<55,87,85,[0,0,0,2]>')]).
% 164.63/165.06 cnf('0.99.2.0',plain,
% 164.63/165.06 ( join(complement(X1),join(X2,X1)) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_96]).
% 164.63/165.06 cnf('0.100.0.0',plain,
% 164.63/165.06 ( top = join(complement(meet(X1,X2)),X1) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.98.2.0','0.59.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.100.1.0',plain,
% 164.63/165.06 ( top = join(complement(meet(X1,X2)),X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.100.0.0']),
% 164.63/165.06 [weight('<55,98,59,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.100.1.1',plain,
% 164.63/165.06 ( top = join(X1,complement(meet(X1,X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.100.1.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.100.2.0',plain,
% 164.63/165.06 ( join(X1,complement(meet(X1,X2))) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.100.1.1',theory(equality)]),
% 164.63/165.06 [x,rule_97]).
% 164.63/165.06 cnf('0.101.0.0',plain,
% 164.63/165.06 ( top = join(complement(meet(X1,X2)),X2) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.99.2.0','0.84.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.101.1.0',plain,
% 164.63/165.06 ( top = join(complement(meet(X1,X2)),X2) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.101.0.0']),
% 164.63/165.06 [weight('<55,99,84,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.101.1.1',plain,
% 164.63/165.06 ( top = join(X2,complement(meet(X1,X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.101.1.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.101.2.0',plain,
% 164.63/165.06 ( join(X1,complement(meet(X2,X1))) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.101.1.1',theory(equality)]),
% 164.63/165.06 [x,rule_98]).
% 164.63/165.06 cnf('0.103.0.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,complement(X1))) = complement(top) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.11.2.0','0.101.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.103.0.1',plain,
% 164.63/165.06 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.103.0.0','0.15.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.103.1.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.103.0.1']),
% 164.63/165.06 [weight('<55,101,11,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.103.2.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_100]).
% 164.63/165.06 cnf('0.105.0.0',plain,
% 164.63/165.06 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.103.2.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.105.1.0',plain,
% 164.63/165.06 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.105.0.0']),
% 164.63/165.06 [weight('<55,103,68,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.105.2.0',plain,
% 164.63/165.06 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_102]).
% 164.63/165.06 cnf('0.107.0.0',plain,
% 164.63/165.06 ( zero = meet(complement(join(X1,X2)),X2) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.105.2.0','0.89.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.107.1.0',plain,
% 164.63/165.06 ( zero = meet(complement(join(X1,X2)),X2) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.107.0.0']),
% 164.63/165.06 [weight('<55,105,89,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.107.1.1',plain,
% 164.63/165.06 ( zero = meet(X2,complement(join(X1,X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.107.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.107.2.0',plain,
% 164.63/165.06 ( meet(X1,complement(join(X2,X1))) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.107.1.1',theory(equality)]),
% 164.63/165.06 [x,rule_104]).
% 164.63/165.06 cnf('0.108.0.0',plain,
% 164.63/165.06 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.11.2.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.108.1.0',plain,
% 164.63/165.06 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.108.0.0']),
% 164.63/165.06 [weight('<59,68,11,[0,0,0,2]>')]).
% 164.63/165.06 cnf('0.108.2.0',plain,
% 164.63/165.06 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_105]).
% 164.63/165.06 cnf('0.109.0.0',plain,
% 164.63/165.06 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.108.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.109.1.0',plain,
% 164.63/165.06 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.109.0.0']),
% 164.63/165.06 [weight('<59,108,4,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.109.2.0',plain,
% 164.63/165.06 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_106]).
% 164.63/165.06 cnf('0.111.0.0',plain,
% 164.63/165.06 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.68.2.0','0.108.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.111.1.0',plain,
% 164.63/165.06 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.111.0.0']),
% 164.63/165.06 [weight('<59,108,68,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.111.2.0',plain,
% 164.63/165.06 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_107]).
% 164.63/165.06 cnf('0.113.0.0',plain,
% 164.63/165.06 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.111.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.113.1.0',plain,
% 164.63/165.06 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.113.0.0']),
% 164.63/165.06 [weight('<59,111,18,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.113.2.0',plain,
% 164.63/165.06 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_109]).
% 164.63/165.06 cnf('0.114.0.0',plain,
% 164.63/165.06 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.111.2.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.114.1.0',plain,
% 164.63/165.06 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.114.0.0']),
% 164.63/165.06 [weight('<59,111,68,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.114.2.0',plain,
% 164.63/165.06 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_110]).
% 164.63/165.06 cnf('0.119.0.0',plain,
% 164.63/165.06 ( join(X1,converse(meet(X2,converse(X1)))) = converse(converse(X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.25.2.0','0.84.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.119.0.1',plain,
% 164.63/165.06 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.119.0.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.119.1.0',plain,
% 164.63/165.06 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.119.0.1']),
% 164.63/165.06 [weight('<71,84,25,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.119.2.0',plain,
% 164.63/165.06 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_115]).
% 164.63/165.06 cnf('0.130.0.0',plain,
% 164.63/165.06 ( join(one,converse(complement(meet(X1,one)))) = converse(top) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.32.2.0','0.101.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.130.0.1',plain,
% 164.63/165.06 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.130.0.0','0.53.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.130.1.0',plain,
% 164.63/165.06 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.130.0.1']),
% 164.63/165.06 [weight('<71,101,32,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.130.2.0',plain,
% 164.63/165.06 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_126]).
% 164.63/165.06 cnf('0.144.0.0',plain,
% 164.63/165.06 ( composition(converse(sk1),sk1) = meet(composition(converse(sk1),sk1),one) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.89.2.0','0.9.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.144.1.0',plain,
% 164.63/165.06 ( composition(converse(sk1),sk1) = meet(composition(converse(sk1),sk1),one) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.144.0.0']),
% 164.63/165.06 [weight('<76,89,9,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.144.1.1',plain,
% 164.63/165.06 ( composition(converse(sk1),sk1) = meet(one,composition(converse(sk1),sk1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.144.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.144.2.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(sk1),sk1)) = composition(converse(sk1),sk1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.144.1.1',theory(equality)]),
% 164.63/165.06 [x,rule_140]).
% 164.63/165.06 cnf('0.151.0.0',plain,
% 164.63/165.06 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.5.2.0','0.83.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.151.1.0',plain,
% 164.63/165.06 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.151.0.0']),
% 164.63/165.06 [weight('<87,83,5,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.151.2.0',plain,
% 164.63/165.06 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_147]).
% 164.63/165.06 cnf('0.156.0.0',plain,
% 164.63/165.06 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.5.2.0','0.84.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.156.1.0',plain,
% 164.63/165.06 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.156.0.0']),
% 164.63/165.06 [weight('<87,84,5,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.156.2.0',plain,
% 164.63/165.06 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_152]).
% 164.63/165.06 cnf('0.165.0.0',plain,
% 164.63/165.06 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.151.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.165.1.0',plain,
% 164.63/165.06 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.165.0.0']),
% 164.63/165.06 [weight('<87,151,4,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.165.2.0',plain,
% 164.63/165.06 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_160]).
% 164.63/165.06 cnf('0.186.0.0',plain,
% 164.63/165.06 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 164.63/165.06 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 164.63/165.06 cnf('0.186.0.1',plain,
% 164.63/165.06 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.186.0.0','0.109.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.186.1.0',plain,
% 164.63/165.06 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.186.0.1']),
% 164.63/165.06 [weight('<89,59,109,[0,0,0,0]>')]).
% 164.63/165.06 cnf('0.186.2.0',plain,
% 164.63/165.06 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_181]).
% 164.63/165.06 cnf('0.187.0.0',plain,
% 164.63/165.06 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.156.2.0','0.186.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.187.1.0',plain,
% 164.63/165.06 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.187.0.0']),
% 164.63/165.06 [weight('<69,186,156,[0,0,0,2]>')]).
% 164.63/165.06 cnf('0.187.2.0',plain,
% 164.63/165.06 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_182]).
% 164.63/165.06 cnf('0.189.0.0',plain,
% 164.63/165.06 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.165.2.0','0.186.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.189.1.0',plain,
% 164.63/165.06 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.189.0.0']),
% 164.63/165.06 [weight('<76,186,165,[0,0,0,2]>')]).
% 164.63/165.06 cnf('0.189.2.0',plain,
% 164.63/165.06 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_184]).
% 164.63/165.06 cnf('0.191.0.0',plain,
% 164.63/165.06 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.109.2.0','0.187.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.191.0.1',plain,
% 164.63/165.06 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.191.0.0','0.111.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.191.0.2',plain,
% 164.63/165.06 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.191.0.1','0.114.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.191.0.3',plain,
% 164.63/165.06 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.191.0.2','0.109.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.191.1.0',plain,
% 164.63/165.06 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.191.0.3']),
% 164.63/165.06 [weight('<76,187,109,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.191.1.1',plain,
% 164.63/165.06 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.191.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.191.2.0',plain,
% 164.63/165.06 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.191.1.1',theory(equality)]),
% 164.63/165.06 [u,rule_186]).
% 164.63/165.06 cnf('0.192.0.0',plain,
% 164.63/165.06 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.191.2.0','0.113.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.192.0.1',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.192.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.192.1.0',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.192.0.1']),
% 164.63/165.06 [weight('<69,191,113,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.192.2.0',plain,
% 164.63/165.06 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.192.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_187]).
% 164.63/165.06 cnf('0.193.0.0',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.192.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.193.1.0',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.193.0.0']),
% 164.63/165.06 [weight('<69,192,4,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.193.2.0',plain,
% 164.63/165.06 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.193.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_188]).
% 164.63/165.06 cnf('0.194.0.0',plain,
% 164.63/165.06 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.193.2.0','0.86.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.194.0.1',plain,
% 164.63/165.06 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.194.0.0','0.74.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.194.1.0',plain,
% 164.63/165.06 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.194.0.1']),
% 164.63/165.06 [weight('<71,193,86,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.194.1.1',plain,
% 164.63/165.06 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.194.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.194.2.0',plain,
% 164.63/165.06 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.194.1.1',theory(equality)]),
% 164.63/165.06 [u,rule_189]).
% 164.63/165.06 cnf('0.195.0.0',plain,
% 164.63/165.06 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.111.2.0','0.194.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.195.0.1',plain,
% 164.63/165.06 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.195.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1.1.1.1','L')]).
% 164.63/165.06 cnf('0.195.0.2',plain,
% 164.63/165.06 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.195.0.1','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.195.1.0',plain,
% 164.63/165.06 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.195.0.2']),
% 164.63/165.06 [weight('<71,194,111,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.195.2.0',plain,
% 164.63/165.06 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_190]).
% 164.63/165.06 cnf('0.196.0.0',plain,
% 164.63/165.06 ( one = join(one,complement(converse(complement(one)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.195.2.0','0.30.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1.1.1','L')]).
% 164.63/165.06 cnf('0.196.1.0',plain,
% 164.63/165.06 ( one = join(one,complement(converse(complement(one)))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.196.0.0']),
% 164.63/165.06 [weight('<55,195,30,[1,0,0,5]>')]).
% 164.63/165.06 cnf('0.196.2.0',plain,
% 164.63/165.06 ( join(one,complement(converse(complement(one)))) = one ),
% 164.63/165.06 inference(orient,[status(thm)],['0.196.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_191]).
% 164.63/165.06 cnf('0.197.0.0',plain,
% 164.63/165.06 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.108.2.0','0.196.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.197.1.0',plain,
% 164.63/165.06 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.197.0.0']),
% 164.63/165.06 [weight('<62,196,108,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.197.2.0',plain,
% 164.63/165.06 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_192]).
% 164.63/165.06 cnf('0.198.0.0',plain,
% 164.63/165.06 ( complement(one) = join(complement(one),converse(complement(one))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.119.2.0','0.197.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.198.1.0',plain,
% 164.63/165.06 ( complement(one) = join(complement(one),converse(complement(one))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.198.0.0']),
% 164.63/165.06 [weight('<62,197,119,[0,0,0,3]>')]).
% 164.63/165.06 cnf('0.198.2.0',plain,
% 164.63/165.06 ( join(complement(one),converse(complement(one))) = complement(one) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.198.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_193]).
% 164.63/165.06 cnf('0.201.0.0',plain,
% 164.63/165.06 ( converse(complement(one)) = join(converse(complement(one)),complement(one)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.84.2.0','0.197.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.201.1.0',plain,
% 164.63/165.06 ( converse(complement(one)) = join(converse(complement(one)),complement(one)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.201.0.0']),
% 164.63/165.06 [weight('<69,197,84,[0,0,0,2]>')]).
% 164.63/165.06 cnf('0.201.1.1',plain,
% 164.63/165.06 ( converse(complement(one)) = join(complement(one),converse(complement(one))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.201.1.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.201.1.2',plain,
% 164.63/165.06 ( converse(complement(one)) = complement(one) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.201.1.1','0.198.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.201.2.0',plain,
% 164.63/165.06 ( converse(complement(one)) = complement(one) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.201.1.2',theory(equality)]),
% 164.63/165.06 [u,rule_196]).
% 164.63/165.06 cnf('0.203.0.0',plain,
% 164.63/165.06 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.10.2.0','0.201.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.203.1.0',plain,
% 164.63/165.06 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.203.0.0']),
% 164.63/165.06 [weight('<65,201,10,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.203.2.0',plain,
% 164.63/165.06 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.203.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_198]).
% 164.63/165.06 cnf('0.207.0.0',plain,
% 164.63/165.06 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.25.2.0','0.195.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.207.0.1',plain,
% 164.63/165.06 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.207.0.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1.1.1.1','L')]).
% 164.63/165.06 cnf('0.207.0.2',plain,
% 164.63/165.06 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.207.0.1','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.207.1.0',plain,
% 164.63/165.06 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.207.0.2']),
% 164.63/165.06 [weight('<71,195,25,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.207.2.0',plain,
% 164.63/165.06 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.207.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_202]).
% 164.63/165.06 cnf('0.210.0.0',plain,
% 164.63/165.06 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.109.2.0','0.207.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.210.0.1',plain,
% 164.63/165.06 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.210.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1.1.1.1','L')]).
% 164.63/165.06 cnf('0.210.0.2',plain,
% 164.63/165.06 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.210.0.1','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.210.1.0',plain,
% 164.63/165.06 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.210.0.2']),
% 164.63/165.06 [weight('<71,207,109,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.210.1.1',plain,
% 164.63/165.06 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.210.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.210.2.0',plain,
% 164.63/165.06 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.210.1.1',theory(equality)]),
% 164.63/165.06 [u,rule_205]).
% 164.63/165.06 cnf('0.215.0.0',plain,
% 164.63/165.06 ( meet(complement(meet(X1,X2)),X2) = complement(join(complement(X2),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.109.2.0','0.189.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.215.0.1',plain,
% 164.63/165.06 ( meet(complement(meet(X1,X2)),X2) = meet(complement(X1),X2) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.215.0.0','0.109.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.215.1.0',plain,
% 164.63/165.06 ( meet(complement(meet(X1,X2)),X2) = meet(complement(X1),X2) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.215.0.1']),
% 164.63/165.06 [weight('<76,189,109,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.215.1.1',plain,
% 164.63/165.06 ( meet(X2,complement(meet(X1,X2))) = meet(complement(X1),X2) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.215.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.215.2.0',plain,
% 164.63/165.06 ( meet(X1,complement(meet(X2,X1))) = meet(complement(X2),X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.215.1.1',theory(equality)]),
% 164.63/165.06 [u,rule_210]).
% 164.63/165.06 cnf('0.217.0.0',plain,
% 164.63/165.06 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.192.2.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.217.1.0',plain,
% 164.63/165.06 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.217.0.0']),
% 164.63/165.06 [weight('<76,192,68,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.217.2.0',plain,
% 164.63/165.06 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.217.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_212]).
% 164.63/165.06 cnf('0.218.0.0',plain,
% 164.63/165.06 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.217.2.0','0.86.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.218.0.1',plain,
% 164.63/165.06 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.218.0.0','0.210.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.218.0.2',plain,
% 164.63/165.06 ( X1 = complement(converse(complement(converse(X1)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.218.0.1','0.74.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.218.1.0',plain,
% 164.63/165.06 ( X1 = complement(converse(complement(converse(X1)))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.218.0.2']),
% 164.63/165.06 [weight('<41,217,86,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.218.2.0',plain,
% 164.63/165.06 ( complement(converse(complement(converse(X1)))) = X1 ),
% 164.63/165.06 inference(orient,[status(thm)],['0.218.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_213]).
% 164.63/165.06 cnf('0.219.0.0',plain,
% 164.63/165.06 ( converse(X1) = complement(converse(complement(X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.218.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1.1','L')]).
% 164.63/165.06 cnf('0.219.1.0',plain,
% 164.63/165.06 ( converse(X1) = complement(converse(complement(X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.219.0.0']),
% 164.63/165.06 [weight('<34,218,3,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.219.2.0',plain,
% 164.63/165.06 ( complement(converse(complement(X1))) = converse(X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_214]).
% 164.63/165.06 cnf('0.220.0.0',plain,
% 164.63/165.06 ( converse(complement(X1)) = complement(converse(X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.68.2.0','0.219.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.220.1.0',plain,
% 164.63/165.06 ( converse(complement(X1)) = complement(converse(X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.220.0.0']),
% 164.63/165.06 [weight('<27,219,68,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.220.2.0',plain,
% 164.63/165.06 ( complement(converse(X1)) = converse(complement(X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_215]).
% 164.63/165.06 cnf('0.222.0.0',plain,
% 164.63/165.06 ( converse(complement(composition(X1,top))) = complement(composition(top,converse(X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.220.2.0','0.79.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.222.1.0',plain,
% 164.63/165.06 ( converse(complement(composition(X1,top))) = complement(composition(top,converse(X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.222.0.0']),
% 164.63/165.06 [weight('<65,220,79,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.222.2.0',plain,
% 164.63/165.06 ( complement(composition(top,converse(X1))) = converse(complement(composition(X1,top))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.222.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_217]).
% 164.63/165.06 cnf('0.223.0.0',plain,
% 164.63/165.06 ( converse(complement(composition(top,X1))) = complement(composition(converse(X1),top)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.220.2.0','0.80.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.223.1.0',plain,
% 164.63/165.06 ( converse(complement(composition(top,X1))) = complement(composition(converse(X1),top)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.223.0.0']),
% 164.63/165.06 [weight('<65,220,80,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.223.2.0',plain,
% 164.63/165.06 ( complement(composition(converse(X1),top)) = converse(complement(composition(top,X1))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.223.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_218]).
% 164.63/165.06 cnf('0.224.0.0',plain,
% 164.63/165.06 ( converse(complement(join(complement(one),X1))) = complement(join(complement(one),converse(X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.220.2.0','0.203.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.224.0.1',plain,
% 164.63/165.06 ( converse(meet(complement(X1),one)) = complement(join(complement(one),converse(X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.224.0.0','0.109.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.224.0.2',plain,
% 164.63/165.06 ( converse(meet(complement(X1),one)) = meet(complement(converse(X1)),one) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.224.0.1','0.109.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.224.0.3',plain,
% 164.63/165.06 ( converse(meet(complement(X1),one)) = meet(converse(complement(X1)),one) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.224.0.2','0.220.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1','L')]).
% 164.63/165.06 cnf('0.224.1.0',plain,
% 164.63/165.06 ( converse(meet(complement(X1),one)) = meet(converse(complement(X1)),one) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.224.0.3']),
% 164.63/165.06 [weight('<65,220,203,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.224.1.1',plain,
% 164.63/165.06 ( converse(meet(one,complement(X1))) = meet(converse(complement(X1)),one) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.224.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.224.1.2',plain,
% 164.63/165.06 ( converse(meet(one,complement(X1))) = meet(one,converse(complement(X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.224.1.1','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.224.2.0',plain,
% 164.63/165.06 ( converse(meet(one,complement(X1))) = meet(one,converse(complement(X1))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.224.1.2',theory(equality)]),
% 164.63/165.06 [u,rule_219]).
% 164.63/165.06 cnf('0.225.0.0',plain,
% 164.63/165.06 ( meet(one,converse(complement(complement(X1)))) = converse(meet(one,X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.224.2.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.2','L')]).
% 164.63/165.06 cnf('0.225.0.1',plain,
% 164.63/165.06 ( meet(one,converse(X1)) = converse(meet(one,X1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.225.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.225.1.0',plain,
% 164.63/165.06 ( meet(one,converse(X1)) = converse(meet(one,X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.225.0.1']),
% 164.63/165.06 [weight('<44,224,68,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.225.2.0',plain,
% 164.63/165.06 ( converse(meet(one,X1)) = meet(one,converse(X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_220]).
% 164.63/165.06 cnf('0.226.0.0',plain,
% 164.63/165.06 ( meet(one,converse(X1)) = converse(meet(X1,one)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.225.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.226.1.0',plain,
% 164.63/165.06 ( meet(one,converse(X1)) = converse(meet(X1,one)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.226.0.0']),
% 164.63/165.06 [weight('<44,225,18,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.226.2.0',plain,
% 164.63/165.06 ( converse(meet(X1,one)) = meet(one,converse(X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.226.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_221]).
% 164.63/165.06 cnf('0.227.0.0',plain,
% 164.63/165.06 ( converse(complement(meet(one,X1))) = complement(meet(one,converse(X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.220.2.0','0.225.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.227.1.0',plain,
% 164.63/165.06 ( converse(complement(meet(one,X1))) = complement(meet(one,converse(X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.227.0.0']),
% 164.63/165.06 [weight('<65,225,220,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.227.2.0',plain,
% 164.63/165.06 ( complement(meet(one,converse(X1))) = converse(complement(meet(one,X1))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.227.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_222]).
% 164.63/165.06 cnf('0.229.0.0',plain,
% 164.63/165.06 ( complement(top) = join(complement(top),composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.8.2.0','0.223.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.229.0.1',plain,
% 164.63/165.06 ( zero = join(complement(top),composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.229.0.0','0.15.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.229.0.2',plain,
% 164.63/165.06 ( zero = join(zero,composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.229.0.1','0.15.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1','L')]).
% 164.63/165.06 cnf('0.229.0.3',plain,
% 164.63/165.06 ( zero = composition(converse(converse(X1)),converse(complement(composition(top,X1)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.229.0.2','0.63.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.229.0.4',plain,
% 164.63/165.06 ( zero = converse(composition(complement(composition(top,X1)),converse(X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.229.0.3','0.13.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.229.0.5',plain,
% 164.63/165.06 ( zero = composition(X1,converse(complement(composition(top,X1)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.229.0.4','0.27.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.229.1.0',plain,
% 164.63/165.06 ( zero = composition(X1,converse(complement(composition(top,X1)))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.229.0.5']),
% 164.63/165.06 [weight('<71,223,8,[0,0,0,6]>')]).
% 164.63/165.06 cnf('0.229.2.0',plain,
% 164.63/165.06 ( composition(X1,converse(complement(composition(top,X1)))) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.229.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_224]).
% 164.63/165.06 cnf('0.235.0.0',plain,
% 164.63/165.06 ( composition(converse(converse(complement(composition(top,converse(X1))))),X1) = converse(zero) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.28.2.0','0.229.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.235.0.1',plain,
% 164.63/165.06 ( composition(complement(composition(top,converse(X1))),X1) = converse(zero) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.235.0.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.235.0.2',plain,
% 164.63/165.06 ( composition(converse(complement(composition(X1,top))),X1) = converse(zero) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.235.0.1','0.222.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.235.0.3',plain,
% 164.63/165.06 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.235.0.2','0.76.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.235.1.0',plain,
% 164.63/165.06 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.235.0.3']),
% 164.63/165.06 [weight('<71,229,28,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.235.2.0',plain,
% 164.63/165.06 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.235.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_230]).
% 164.63/165.06 cnf('0.238.0.0',plain,
% 164.63/165.06 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.220.2.0','0.25.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.238.1.0',plain,
% 164.63/165.06 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.238.0.0']),
% 164.63/165.06 [weight('<83,220,25,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.238.2.0',plain,
% 164.63/165.06 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.238.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_233]).
% 164.63/165.06 cnf('0.253.0.0',plain,
% 164.63/165.06 ( converse(complement(composition(converse(X1),X2))) = complement(composition(converse(X2),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.220.2.0','0.28.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.253.1.0',plain,
% 164.63/165.06 ( converse(complement(composition(converse(X1),X2))) = complement(composition(converse(X2),X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.253.0.0']),
% 164.63/165.06 [weight('<83,220,28,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.253.2.0',plain,
% 164.63/165.06 ( converse(complement(composition(converse(X1),X2))) = complement(composition(converse(X2),X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.253.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_248]).
% 164.63/165.06 cnf('0.262.0.0',plain,
% 164.63/165.06 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.114.2.0','0.220.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.262.1.0',plain,
% 164.63/165.06 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.262.0.0']),
% 164.63/165.06 [weight('<83,220,114,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.262.2.0',plain,
% 164.63/165.06 ( join(converse(complement(X1)),complement(X2)) = complement(meet(converse(X1),X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.262.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_257]).
% 164.63/165.06 cnf('0.263.0.0',plain,
% 164.63/165.06 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2.1','L')]).
% 164.63/165.06 cnf('0.263.1.0',plain,
% 164.63/165.06 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.263.0.0']),
% 164.63/165.06 [weight('<?,8,2,[1,0,0,7]>')]).
% 164.63/165.06 cnf('0.263.2.0',plain,
% 164.63/165.06 ( join(complement(one),composition(converse(X1),complement(X1))) = complement(one) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.263.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_258]).
% 164.63/165.06 cnf('0.264.0.0',plain,
% 164.63/165.06 ( complement(join(complement(X1),converse(complement(X2)))) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.238.2.0','0.262.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.264.0.1',plain,
% 164.63/165.06 ( meet(complement(converse(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.264.0.0','0.109.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.264.0.2',plain,
% 164.63/165.06 ( meet(converse(complement(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.264.0.1','0.220.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.264.0.3',plain,
% 164.63/165.06 ( meet(converse(X2),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.264.0.2','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.264.0.4',plain,
% 164.63/165.06 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.264.0.3','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1','L')]).
% 164.63/165.06 cnf('0.264.1.0',plain,
% 164.63/165.06 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.264.0.4']),
% 164.63/165.06 [weight('<59,262,238,[0,0,0,2]>')]).
% 164.63/165.06 cnf('0.264.2.0',plain,
% 164.63/165.06 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.264.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_259]).
% 164.63/165.06 cnf('0.266.0.0',plain,
% 164.63/165.06 ( meet(converse(X1),X2) = converse(meet(X1,converse(X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.264.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.266.1.0',plain,
% 164.63/165.06 ( meet(converse(X1),X2) = converse(meet(X1,converse(X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.266.0.0']),
% 164.63/165.06 [weight('<59,264,18,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.266.2.0',plain,
% 164.63/165.06 ( converse(meet(X1,converse(X2))) = meet(converse(X1),X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.266.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_261]).
% 164.63/165.06 cnf('0.267.0.0',plain,
% 164.63/165.06 ( zero = meet(composition(converse(X1),complement(X1)),complement(complement(one))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.107.2.0','0.263.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.267.0.1',plain,
% 164.63/165.06 ( zero = meet(composition(converse(X1),complement(X1)),one) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.267.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.267.1.0',plain,
% 164.63/165.06 ( zero = meet(composition(converse(X1),complement(X1)),one) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.267.0.1']),
% 164.63/165.06 [weight('<71,263,107,[0,0,0,3]>')]).
% 164.63/165.06 cnf('0.267.1.1',plain,
% 164.63/165.06 ( zero = meet(one,composition(converse(X1),complement(X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.267.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.267.2.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),complement(X1))) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.267.1.1',theory(equality)]),
% 164.63/165.06 [x,rule_262]).
% 164.63/165.06 cnf('0.268.0.0',plain,
% 164.63/165.06 ( zero = meet(one,composition(X1,complement(converse(X1)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.267.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.268.0.1',plain,
% 164.63/165.06 ( zero = meet(one,composition(X1,converse(complement(X1)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.268.0.0','0.220.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2.2','L')]).
% 164.63/165.06 cnf('0.268.1.0',plain,
% 164.63/165.06 ( zero = meet(one,composition(X1,converse(complement(X1)))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.268.0.1']),
% 164.63/165.06 [weight('<71,267,3,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.268.2.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,converse(complement(X1)))) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.268.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_263]).
% 164.63/165.06 cnf('0.442.0.0',plain,
% 164.63/165.06 ( join(X1,converse(composition(X2,converse(X1)))) = converse(composition(join(one,X2),converse(X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.25.2.0','0.46.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.442.0.1',plain,
% 164.63/165.06 ( join(X1,composition(X1,converse(X2))) = converse(composition(join(one,X2),converse(X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.442.0.0','0.27.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.442.0.2',plain,
% 164.63/165.06 ( join(X1,composition(X1,converse(X2))) = composition(X1,converse(join(one,X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.442.0.1','0.27.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.442.0.3',plain,
% 164.63/165.06 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.442.0.2','0.32.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.442.1.0',plain,
% 164.63/165.06 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.442.0.3']),
% 164.63/165.06 [weight('<90,46,25,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.442.2.0',plain,
% 164.63/165.06 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.442.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_437]).
% 164.63/165.06 cnf('0.443.0.0',plain,
% 164.63/165.06 ( composition(X1,join(one,converse(converse(X2)))) = join(X1,composition(X1,X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.442.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.443.0.1',plain,
% 164.63/165.06 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.443.0.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.443.1.0',plain,
% 164.63/165.06 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.443.0.1']),
% 164.63/165.06 [weight('<65,442,3,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.443.2.0',plain,
% 164.63/165.06 ( join(X1,composition(X1,X2)) = composition(X1,join(one,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.443.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_438]).
% 164.63/165.06 cnf('0.499.0.0',plain,
% 164.63/165.06 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,join(meet(X1,X2),X3)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.151.2.0','0.187.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.499.0.1',plain,
% 164.63/165.06 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.499.0.0','0.151.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.499.1.0',plain,
% 164.63/165.06 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.499.0.1']),
% 164.63/165.06 [weight('<107,187,151,[0,0,0,2]>')]).
% 164.63/165.06 cnf('0.499.2.0',plain,
% 164.63/165.06 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.499.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_494]).
% 164.63/165.06 cnf('0.505.0.0',plain,
% 164.63/165.06 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X2,join(complement(X2),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.193.2.0','0.165.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.505.0.1',plain,
% 164.63/165.06 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X1,X2) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.505.0.0','0.193.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.505.1.0',plain,
% 164.63/165.06 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X1,X2) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.505.0.1']),
% 164.63/165.06 [weight('<107,193,165,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.505.1.1',plain,
% 164.63/165.06 ( meet(X2,join(X1,meet(complement(X2),X3))) = meet(X1,X2) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.505.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.505.2.0',plain,
% 164.63/165.06 ( meet(X1,join(X2,meet(complement(X1),X3))) = meet(X2,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.505.1.1',theory(equality)]),
% 164.63/165.06 [u,rule_500]).
% 164.63/165.06 cnf('0.507.0.0',plain,
% 164.63/165.06 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.499.2.0','0.113.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.507.1.0',plain,
% 164.63/165.06 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.507.0.0']),
% 164.63/165.06 [weight('<107,499,113,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.507.2.0',plain,
% 164.63/165.06 ( join(X1,meet(join(X2,complement(X1)),X3)) = join(X1,X3) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.507.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_502]).
% 164.63/165.06 cnf('0.508.0.0',plain,
% 164.63/165.06 ( meet(meet(join(X1,complement(complement(X2))),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.193.2.0','0.507.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.508.0.1',plain,
% 164.63/165.06 ( meet(meet(join(X1,X2),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.508.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1.2','L')]).
% 164.63/165.06 cnf('0.508.0.2',plain,
% 164.63/165.06 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.508.0.1','0.193.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.508.1.0',plain,
% 164.63/165.06 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.508.0.2']),
% 164.63/165.06 [weight('<87,507,193,[0,0,0,2]>')]).
% 164.63/165.06 cnf('0.508.1.1',plain,
% 164.63/165.06 ( meet(X2,meet(join(X1,X2),X3)) = meet(X3,X2) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.508.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.508.2.0',plain,
% 164.63/165.06 ( meet(X1,meet(join(X2,X1),X3)) = meet(X3,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.508.1.1',theory(equality)]),
% 164.63/165.06 [u,rule_503]).
% 164.63/165.06 cnf('0.510.0.0',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.508.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.510.1.0',plain,
% 164.63/165.06 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.510.0.0']),
% 164.63/165.06 [weight('<87,508,18,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.510.2.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,join(X3,X1))) = meet(X2,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.510.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_505]).
% 164.63/165.06 cnf('0.513.0.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.508.2.0','0.84.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.513.1.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.513.0.0']),
% 164.63/165.06 [weight('<103,508,84,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.513.2.0',plain,
% 164.63/165.06 ( meet(meet(X1,X2),meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.513.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_508]).
% 164.63/165.06 cnf('0.519.0.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.510.2.0','0.83.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.519.1.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.519.0.0']),
% 164.63/165.06 [weight('<103,510,83,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.519.2.0',plain,
% 164.63/165.06 ( meet(meet(X1,X2),meet(X3,X1)) = meet(X3,meet(X1,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.519.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_514]).
% 164.63/165.06 cnf('0.521.0.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X3)) = meet(meet(X3,X1),meet(X2,X3)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.513.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.521.1.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X3)) = meet(meet(X3,X1),meet(X2,X3)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.521.0.0']),
% 164.63/165.06 [weight('<103,513,18,[1,0,0,0]>')]).
% 164.63/165.06 cnf('0.521.1.1',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.521.1.0','0.519.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.521.2.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)) ),
% 164.63/165.06 inference(activate,[status(thm)],['0.521.1.1']),
% 164.63/165.06 [equation_6]).
% 164.63/165.06 cnf('0.522.0.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.521.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.522.1.0',plain,
% 164.63/165.06 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.522.0.0']),
% 164.63/165.06 [weight('<65,521,18,[1,0,0,0]>')]).
% 164.63/165.06 cnf('0.522.2.0',plain,
% 164.63/165.06 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.522.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_516]).
% 164.63/165.06 cnf('0.722.0.0',plain,
% 164.63/165.06 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.7.2.0','0.13.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.722.1.0',plain,
% 164.63/165.06 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.722.0.0']),
% 164.63/165.06 [weight('<?,13,7,[0,0,0,4]>')]).
% 164.63/165.06 cnf('0.722.2.0',plain,
% 164.63/165.06 ( join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.722.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_714]).
% 164.63/165.06 cnf('0.734.0.0',plain,
% 164.63/165.06 ( composition(converse(X1),composition(converse(X2),X3)) = composition(converse(composition(X2,X1)),X3) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.12.2.0','0.13.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.734.1.0',plain,
% 164.63/165.06 ( composition(converse(X1),composition(converse(X2),X3)) = composition(converse(composition(X2,X1)),X3) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.734.0.0']),
% 164.63/165.06 [weight('<111,13,12,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.734.2.0',plain,
% 164.63/165.06 ( composition(converse(X1),composition(converse(X2),X3)) = composition(converse(composition(X2,X1)),X3) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.734.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_726]).
% 164.63/165.06 cnf('0.741.0.0',plain,
% 164.63/165.06 ( converse(join(composition(X1,top),X2)) = join(composition(top,converse(X1)),converse(X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.10.2.0','0.79.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.741.1.0',plain,
% 164.63/165.06 ( converse(join(composition(X1,top),X2)) = join(composition(top,converse(X1)),converse(X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.741.0.0']),
% 164.63/165.06 [weight('<111,79,10,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.741.2.0',plain,
% 164.63/165.06 ( join(composition(top,converse(X1)),converse(X2)) = converse(join(composition(X1,top),X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.741.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_733]).
% 164.63/165.06 cnf('0.879.0.0',plain,
% 164.63/165.06 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.13.2.0','0.25.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.879.1.0',plain,
% 164.63/165.06 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.879.0.0']),
% 164.63/165.06 [weight('<119,25,13,[0,0,0,3]>')]).
% 164.63/165.06 cnf('0.879.2.0',plain,
% 164.63/165.06 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.879.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_869]).
% 164.63/165.06 cnf('0.885.0.0',plain,
% 164.63/165.06 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.10.2.0','0.28.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.885.1.0',plain,
% 164.63/165.06 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.885.0.0']),
% 164.63/165.06 [weight('<119,28,10,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.885.2.0',plain,
% 164.63/165.06 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.885.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_875]).
% 164.63/165.06 cnf('0.886.0.0',plain,
% 164.63/165.06 ( join(composition(converse(converse(X1)),X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.885.2.0','0.722.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.886.0.1',plain,
% 164.63/165.06 ( join(composition(X1,X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.886.0.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.886.0.2',plain,
% 164.63/165.06 ( join(composition(X1,X2),composition(X1,X3)) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.886.0.1','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.886.0.3',plain,
% 164.63/165.06 ( join(composition(X1,X2),composition(X1,X3)) = composition(converse(converse(X1)),join(X2,converse(converse(X3)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.886.0.2','0.879.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.886.0.4',plain,
% 164.63/165.06 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,converse(converse(X3)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.886.0.3','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1','L')]).
% 164.63/165.06 cnf('0.886.0.5',plain,
% 164.63/165.06 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.886.0.4','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2.2','L')]).
% 164.63/165.06 cnf('0.886.1.0',plain,
% 164.63/165.06 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.886.0.5']),
% 164.63/165.06 [weight('<103,885,722,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.886.2.0',plain,
% 164.63/165.06 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.886.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_876]).
% 164.63/165.06 cnf('0.913.0.0',plain,
% 164.63/165.06 ( meet(complement(X1),join(X2,complement(X1))) = meet(join(X2,complement(X1)),complement(meet(X2,X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.215.2.0','0.192.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.913.0.1',plain,
% 164.63/165.06 ( complement(X1) = meet(join(X2,complement(X1)),complement(meet(X2,X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.913.0.0','0.89.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.913.1.0',plain,
% 164.63/165.06 ( complement(X1) = meet(join(X2,complement(X1)),complement(meet(X2,X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.913.0.1']),
% 164.63/165.06 [weight('<119,215,192,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.913.2.0',plain,
% 164.63/165.06 ( meet(join(X1,complement(X2)),complement(meet(X1,X2))) = complement(X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.913.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_903]).
% 164.63/165.06 cnf('0.921.0.0',plain,
% 164.63/165.06 ( converse(complement(meet(one,composition(X1,top)))) = complement(meet(one,composition(top,converse(X1)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.227.2.0','0.79.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.2','L')]).
% 164.63/165.06 cnf('0.921.1.0',plain,
% 164.63/165.06 ( converse(complement(meet(one,composition(X1,top)))) = complement(meet(one,composition(top,converse(X1)))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.921.0.0']),
% 164.63/165.06 [weight('<119,227,79,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.921.2.0',plain,
% 164.63/165.06 ( complement(meet(one,composition(top,converse(X1)))) = converse(complement(meet(one,composition(X1,top)))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.921.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_911]).
% 164.63/165.06 cnf('0.943.0.0',plain,
% 164.63/165.06 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.13.2.0','0.266.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.943.1.0',plain,
% 164.63/165.06 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.943.0.0']),
% 164.63/165.06 [weight('<119,266,13,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.943.2.0',plain,
% 164.63/165.06 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.943.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_933]).
% 164.63/165.06 cnf('0.944.0.0',plain,
% 164.63/165.06 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.13.2.0','0.266.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.944.1.0',plain,
% 164.63/165.06 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.944.0.0']),
% 164.63/165.06 [weight('<119,266,13,[0,0,0,3]>')]).
% 164.63/165.06 cnf('0.944.2.0',plain,
% 164.63/165.06 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.944.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_934]).
% 164.63/165.06 cnf('0.1010.0.0',plain,
% 164.63/165.06 ( meet(complement(one),composition(X1,converse(complement(X1)))) = meet(composition(X1,converse(complement(X1))),complement(zero)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.215.2.0','0.268.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.1010.0.1',plain,
% 164.63/165.06 ( meet(complement(one),composition(X1,converse(complement(X1)))) = meet(composition(X1,converse(complement(X1))),top) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1010.0.0','0.64.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.1010.0.2',plain,
% 164.63/165.06 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1010.0.1','0.74.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1010.1.0',plain,
% 164.63/165.06 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1010.0.2']),
% 164.63/165.06 [weight('<125,268,215,[0,0,0,3]>')]).
% 164.63/165.06 cnf('0.1010.2.0',plain,
% 164.63/165.06 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1010.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_998]).
% 164.63/165.06 cnf('0.1184.0.0',plain,
% 164.63/165.06 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = join(zero,composition(X2,X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.7.2.0','0.235.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.1184.0.1',plain,
% 164.63/165.06 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1184.0.0','0.63.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1184.1.0',plain,
% 164.63/165.06 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1184.0.1']),
% 164.63/165.06 [weight('<129,235,7,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.1184.2.0',plain,
% 164.63/165.06 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1184.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_1172]).
% 164.63/165.06 cnf('0.1189.0.0',plain,
% 164.63/165.06 ( composition(join(complement(converse(complement(composition(X1,top)))),X2),X1) = composition(top,X1) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1184.2.0','0.87.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.1189.0.1',plain,
% 164.63/165.06 ( composition(join(converse(complement(complement(composition(X1,top)))),X2),X1) = composition(top,X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1189.0.0','0.220.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.1189.0.2',plain,
% 164.63/165.06 ( composition(join(converse(composition(X1,top)),X2),X1) = composition(top,X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1189.0.1','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1.1','L')]).
% 164.63/165.06 cnf('0.1189.0.3',plain,
% 164.63/165.06 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1189.0.2','0.79.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.1189.1.0',plain,
% 164.63/165.06 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1189.0.3']),
% 164.63/165.06 [weight('<107,1184,87,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.1189.2.0',plain,
% 164.63/165.06 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1189.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_1177]).
% 164.63/165.06 cnf('0.1191.0.0',plain,
% 164.63/165.06 ( composition(meet(complement(converse(complement(composition(X1,top)))),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1184.2.0','0.187.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.1191.0.1',plain,
% 164.63/165.06 ( composition(meet(converse(complement(complement(composition(X1,top)))),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1191.0.0','0.220.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.1191.0.2',plain,
% 164.63/165.06 ( composition(meet(converse(composition(X1,top)),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1191.0.1','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1.1','L')]).
% 164.63/165.06 cnf('0.1191.0.3',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1191.0.2','0.79.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.1191.0.4',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1191.0.3','0.1184.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1191.1.0',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1191.0.4']),
% 164.63/165.06 [weight('<107,1184,187,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.1191.2.0',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1191.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_1179]).
% 164.63/165.06 cnf('0.1197.0.0',plain,
% 164.63/165.06 ( composition(top,X1) = composition(converse(join(composition(X1,top),X2)),X1) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1189.2.0','0.741.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.1197.1.0',plain,
% 164.63/165.06 ( composition(top,X1) = composition(converse(join(composition(X1,top),X2)),X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1197.0.0']),
% 164.63/165.06 [weight('<107,1189,741,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.1197.2.0',plain,
% 164.63/165.06 ( composition(converse(join(composition(X1,top),X2)),X1) = composition(top,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1197.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1185]).
% 164.63/165.06 cnf('0.1205.0.0',plain,
% 164.63/165.06 ( composition(top,X1) = composition(converse(composition(join(X1,X2),top)),X1) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1197.2.0','0.7.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.1205.0.1',plain,
% 164.63/165.06 ( composition(top,X1) = composition(composition(top,converse(join(X1,X2))),X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1205.0.0','0.79.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1','L')]).
% 164.63/165.06 cnf('0.1205.0.2',plain,
% 164.63/165.06 ( composition(top,X1) = composition(top,composition(converse(join(X1,X2)),X1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1205.0.1','0.12.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1205.1.0',plain,
% 164.63/165.06 ( composition(top,X1) = composition(top,composition(converse(join(X1,X2)),X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1205.0.2']),
% 164.63/165.06 [weight('<107,1197,7,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.1205.2.0',plain,
% 164.63/165.06 ( composition(top,composition(converse(join(X1,X2)),X1)) = composition(top,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1205.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1193]).
% 164.63/165.06 cnf('0.1278.0.0',plain,
% 164.63/165.06 ( composition(converse(X1),meet(converse(composition(top,converse(X1))),X2)) = converse(composition(converse(X2),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.944.2.0','0.1191.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.1278.0.1',plain,
% 164.63/165.06 ( composition(converse(X1),meet(composition(converse(converse(X1)),top),X2)) = converse(composition(converse(X2),X1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1278.0.0','0.80.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.1278.0.2',plain,
% 164.63/165.06 ( composition(converse(X1),meet(composition(X1,top),X2)) = converse(composition(converse(X2),X1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1278.0.1','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1.1','L')]).
% 164.63/165.06 cnf('0.1278.0.3',plain,
% 164.63/165.06 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1278.0.2','0.28.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1278.1.0',plain,
% 164.63/165.06 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1278.0.3']),
% 164.63/165.06 [weight('<116,1191,944,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.1278.2.0',plain,
% 164.63/165.06 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1278.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_1265]).
% 164.63/165.06 cnf('0.1306.0.0',plain,
% 164.63/165.06 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(X1),meet(X1,X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1205.2.0','0.186.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1.1','L')]).
% 164.63/165.06 cnf('0.1306.1.0',plain,
% 164.63/165.06 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(X1),meet(X1,X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1306.0.0']),
% 164.63/165.06 [weight('<125,1205,186,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.1306.2.0',plain,
% 164.63/165.06 ( composition(top,composition(converse(X1),meet(X1,X2))) = composition(top,meet(X1,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1306.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1293]).
% 164.63/165.06 cnf('0.1307.0.0',plain,
% 164.63/165.06 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(composition(top,converse(X1)),meet(composition(X1,top),X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1306.2.0','0.79.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.1307.0.1',plain,
% 164.63/165.06 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(top,composition(converse(X1),meet(composition(X1,top),X2)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1307.0.0','0.12.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.1307.0.2',plain,
% 164.63/165.06 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),meet(composition(X1,top),X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1307.0.1','0.81.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1307.0.3',plain,
% 164.63/165.06 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1307.0.2','0.1278.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.1307.1.0',plain,
% 164.63/165.06 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1307.0.3']),
% 164.63/165.06 [weight('<111,1306,79,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.1307.2.0',plain,
% 164.63/165.06 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1307.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_1294]).
% 164.63/165.06 cnf('0.1308.0.0',plain,
% 164.63/165.06 ( composition(top,composition(converse(X1),X2)) = composition(top,meet(X2,composition(X1,top))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1307.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.1308.1.0',plain,
% 164.63/165.06 ( composition(top,composition(converse(X1),X2)) = composition(top,meet(X2,composition(X1,top))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1308.0.0']),
% 164.63/165.06 [weight('<111,1307,18,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.1308.2.0',plain,
% 164.63/165.06 ( composition(top,meet(X1,composition(X2,top))) = composition(top,composition(converse(X2),X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1308.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1295]).
% 164.63/165.06 cnf('0.1314.0.0',plain,
% 164.63/165.06 ( composition(meet(converse(composition(X1,top)),X2),converse(top)) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.943.2.0','0.1307.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.1314.0.1',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),converse(top)) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1314.0.0','0.79.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1','L')]).
% 164.63/165.06 cnf('0.1314.0.2',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),top) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1314.0.1','0.53.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.1314.0.3',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(converse(composition(converse(X1),converse(X2))),top) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1314.0.2','0.80.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1314.0.4',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(composition(converse(converse(X2)),X1),top) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1314.0.3','0.28.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1','L')]).
% 164.63/165.06 cnf('0.1314.0.5',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(converse(converse(X2)),composition(X1,top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1314.0.4','0.12.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1314.0.6',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1314.0.5','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1','L')]).
% 164.63/165.06 cnf('0.1314.1.0',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1314.0.6']),
% 164.63/165.06 [weight('<125,1307,943,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.1314.2.0',plain,
% 164.63/165.06 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1314.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_1301]).
% 164.63/165.06 cnf('0.1315.0.0',plain,
% 164.63/165.06 ( composition(X1,composition(converse(X2),top)) = composition(meet(composition(top,X2),X1),top) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1314.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.1.2','L')]).
% 164.63/165.06 cnf('0.1315.1.0',plain,
% 164.63/165.06 ( composition(X1,composition(converse(X2),top)) = composition(meet(composition(top,X2),X1),top) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1315.0.0']),
% 164.63/165.06 [weight('<111,1314,3,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.1315.2.0',plain,
% 164.63/165.06 ( composition(meet(composition(top,X1),X2),top) = composition(X2,composition(converse(X1),top)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1315.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1302]).
% 164.63/165.06 cnf('0.1316.0.0',plain,
% 164.63/165.06 ( composition(X1,composition(converse(X2),top)) = composition(meet(X1,composition(top,X2)),top) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1315.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.1316.1.0',plain,
% 164.63/165.06 ( composition(X1,composition(converse(X2),top)) = composition(meet(X1,composition(top,X2)),top) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1316.0.0']),
% 164.63/165.06 [weight('<111,1315,18,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.1316.2.0',plain,
% 164.63/165.06 ( composition(meet(X1,composition(top,X2)),top) = composition(X1,composition(converse(X2),top)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1316.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1303]).
% 164.63/165.06 cnf('0.1352.0.0',plain,
% 164.63/165.06 ( composition(X1,X2) = meet(composition(X1,X2),composition(X1,join(one,X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.89.2.0','0.443.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.1352.1.0',plain,
% 164.63/165.06 ( composition(X1,X2) = meet(composition(X1,X2),composition(X1,join(one,X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1352.0.0']),
% 164.63/165.06 [weight('<129,443,89,[0,0,0,2]>')]).
% 164.63/165.06 cnf('0.1352.2.0',plain,
% 164.63/165.06 ( meet(composition(X1,X2),composition(X1,join(one,X2))) = composition(X1,X2) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1352.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1339]).
% 164.63/165.06 cnf('0.1353.0.0',plain,
% 164.63/165.06 ( composition(X1,meet(one,X2)) = meet(composition(X1,meet(one,X2)),composition(X1,one)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1352.2.0','0.83.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.1353.0.1',plain,
% 164.63/165.06 ( composition(X1,meet(one,X2)) = meet(composition(X1,meet(one,X2)),X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1353.0.0','0.2.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.1353.1.0',plain,
% 164.63/165.06 ( composition(X1,meet(one,X2)) = meet(composition(X1,meet(one,X2)),X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1353.0.1']),
% 164.63/165.06 [weight('<103,1352,83,[1,0,0,6]>')]).
% 164.63/165.06 cnf('0.1353.1.1',plain,
% 164.63/165.06 ( composition(X1,meet(one,X2)) = meet(X1,composition(X1,meet(one,X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1353.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1353.2.0',plain,
% 164.63/165.06 ( meet(X1,composition(X1,meet(one,X2))) = composition(X1,meet(one,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1353.1.1',theory(equality)]),
% 164.63/165.06 [x,rule_1340]).
% 164.63/165.06 cnf('0.1356.0.0',plain,
% 164.63/165.06 ( top = join(X1,complement(composition(X1,meet(one,X2)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.100.2.0','0.1353.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.1356.1.0',plain,
% 164.63/165.06 ( top = join(X1,complement(composition(X1,meet(one,X2)))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1356.0.0']),
% 164.63/165.06 [weight('<89,1353,100,[0,0,0,3]>')]).
% 164.63/165.06 cnf('0.1356.2.0',plain,
% 164.63/165.06 ( join(X1,complement(composition(X1,meet(one,X2)))) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1356.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1343]).
% 164.63/165.06 cnf('0.1364.0.0',plain,
% 164.63/165.06 ( join(X1,converse(complement(composition(converse(X1),meet(one,X2))))) = converse(top) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.25.2.0','0.1356.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.1364.0.1',plain,
% 164.63/165.06 ( join(X1,complement(composition(converse(meet(one,X2)),X1))) = converse(top) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1364.0.0','0.253.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.1364.0.2',plain,
% 164.63/165.06 ( join(X1,complement(composition(meet(one,converse(X2)),X1))) = converse(top) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1364.0.1','0.225.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1.1','L')]).
% 164.63/165.06 cnf('0.1364.0.3',plain,
% 164.63/165.06 ( join(X1,complement(composition(meet(one,converse(X2)),X1))) = top ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1364.0.2','0.53.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1364.1.0',plain,
% 164.63/165.06 ( join(X1,complement(composition(meet(one,converse(X2)),X1))) = top ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1364.0.3']),
% 164.63/165.06 [weight('<109,1356,25,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.1364.2.0',plain,
% 164.63/165.06 ( join(X1,complement(composition(meet(one,converse(X2)),X1))) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1364.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_1351]).
% 164.63/165.06 cnf('0.1365.0.0',plain,
% 164.63/165.06 ( top = join(X1,complement(composition(meet(one,X2),X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1364.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1.1.2','L')]).
% 164.63/165.06 cnf('0.1365.1.0',plain,
% 164.63/165.06 ( top = join(X1,complement(composition(meet(one,X2),X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1365.0.0']),
% 164.63/165.06 [weight('<89,1364,3,[1,0,0,6]>')]).
% 164.63/165.06 cnf('0.1365.2.0',plain,
% 164.63/165.06 ( join(X1,complement(composition(meet(one,X2),X1))) = top ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1365.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1352]).
% 164.63/165.06 cnf('0.1367.0.0',plain,
% 164.63/165.06 ( meet(complement(X1),composition(meet(one,X2),X1)) = complement(top) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.108.2.0','0.1365.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.1367.0.1',plain,
% 164.63/165.06 ( meet(complement(X1),composition(meet(one,X2),X1)) = zero ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1367.0.0','0.15.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1367.1.0',plain,
% 164.63/165.06 ( meet(complement(X1),composition(meet(one,X2),X1)) = zero ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1367.0.1']),
% 164.63/165.06 [weight('<89,1365,108,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.1367.2.0',plain,
% 164.63/165.06 ( meet(complement(X1),composition(meet(one,X2),X1)) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1367.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_1354]).
% 164.63/165.06 cnf('0.1392.0.0',plain,
% 164.63/165.06 ( zero = meet(complement(X1),composition(composition(converse(sk1),sk1),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1367.2.0','0.144.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.1392.0.1',plain,
% 164.63/165.06 ( zero = meet(complement(X1),composition(converse(sk1),composition(sk1,X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1392.0.0','0.12.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.1392.1.0',plain,
% 164.63/165.06 ( zero = meet(complement(X1),composition(converse(sk1),composition(sk1,X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1392.0.1']),
% 164.63/165.06 [weight('<109,1367,144,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.1392.2.0',plain,
% 164.63/165.06 ( meet(complement(X1),composition(converse(sk1),composition(sk1,X1))) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1392.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1379]).
% 164.63/165.06 cnf('0.1484.0.0',plain,
% 164.63/165.06 ( meet(X1,one) = meet(one,join(X1,composition(X2,converse(complement(X2))))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.505.2.0','0.1010.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.1484.1.0',plain,
% 164.63/165.06 ( meet(X1,one) = meet(one,join(X1,composition(X2,converse(complement(X2))))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1484.0.0']),
% 164.63/165.06 [weight('<129,1010,505,[0,0,0,4]>')]).
% 164.63/165.06 cnf('0.1484.2.0',plain,
% 164.63/165.06 ( meet(one,join(X1,composition(X2,converse(complement(X2))))) = meet(X1,one) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1484.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1471]).
% 164.63/165.06 cnf('0.1700.0.0',plain,
% 164.63/165.06 ( meet(X1,one) = meet(one,composition(X1,join(one,converse(complement(X1))))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1484.2.0','0.443.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.1700.1.0',plain,
% 164.63/165.06 ( meet(X1,one) = meet(one,composition(X1,join(one,converse(complement(X1))))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1700.0.0']),
% 164.63/165.06 [weight('<129,1484,443,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.1700.2.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,join(one,converse(complement(X1))))) = meet(X1,one) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1700.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1687]).
% 164.63/165.06 cnf('0.1701.0.0',plain,
% 164.63/165.06 ( meet(meet(one,composition(top,converse(X1))),one) = meet(one,composition(meet(one,composition(top,converse(X1))),join(one,converse(converse(complement(meet(one,composition(X1,top)))))))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1700.2.0','0.921.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2.2.1','L')]).
% 164.63/165.06 cnf('0.1701.0.1',plain,
% 164.63/165.06 ( meet(one,meet(composition(top,converse(X1)),one)) = meet(one,composition(meet(one,composition(top,converse(X1))),join(one,converse(converse(complement(meet(one,composition(X1,top)))))))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1701.0.0','0.522.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.1701.0.2',plain,
% 164.63/165.06 ( meet(composition(top,converse(X1)),one) = meet(one,composition(meet(one,composition(top,converse(X1))),join(one,converse(converse(complement(meet(one,composition(X1,top)))))))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1701.0.1','0.91.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.1701.0.3',plain,
% 164.63/165.06 ( meet(composition(top,converse(X1)),one) = meet(one,composition(meet(one,composition(top,converse(X1))),join(one,complement(meet(one,composition(X1,top)))))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1701.0.2','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2.2.2','L')]).
% 164.63/165.06 cnf('0.1701.0.4',plain,
% 164.63/165.06 ( meet(composition(top,converse(X1)),one) = meet(one,composition(meet(one,composition(top,converse(X1))),top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1701.0.3','0.100.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2.2','L')]).
% 164.63/165.06 cnf('0.1701.0.5',plain,
% 164.63/165.06 ( meet(composition(top,converse(X1)),one) = meet(one,composition(one,composition(converse(converse(X1)),top))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1701.0.4','0.1316.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.1701.0.6',plain,
% 164.63/165.06 ( meet(composition(top,converse(X1)),one) = meet(one,composition(converse(converse(X1)),top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1701.0.5','0.31.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.1701.0.7',plain,
% 164.63/165.06 ( meet(composition(top,converse(X1)),one) = meet(one,composition(X1,top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1701.0.6','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2.1','L')]).
% 164.63/165.06 cnf('0.1701.1.0',plain,
% 164.63/165.06 ( meet(composition(top,converse(X1)),one) = meet(one,composition(X1,top)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1701.0.7']),
% 164.63/165.06 [weight('<83,1700,921,[1,0,0,7]>')]).
% 164.63/165.06 cnf('0.1701.1.1',plain,
% 164.63/165.06 ( meet(one,composition(top,converse(X1))) = meet(one,composition(X1,top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1701.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.1701.2.0',plain,
% 164.63/165.06 ( meet(one,composition(top,converse(X1))) = meet(one,composition(X1,top)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1701.1.1',theory(equality)]),
% 164.63/165.06 [u,rule_1688]).
% 164.63/165.06 cnf('0.1702.0.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1701.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.1702.1.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1702.0.0']),
% 164.63/165.06 [weight('<83,1701,3,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.1702.2.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1702.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_1689]).
% 164.63/165.06 cnf('0.1704.0.0',plain,
% 164.63/165.06 ( meet(meet(X1,one),one) = meet(one,composition(meet(X1,one),top)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1700.2.0','0.130.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.1704.0.1',plain,
% 164.63/165.06 ( meet(X1,meet(one,one)) = meet(one,composition(meet(X1,one),top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1704.0.0','0.522.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.1704.0.2',plain,
% 164.63/165.06 ( meet(X1,one) = meet(one,composition(meet(X1,one),top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1704.0.1','0.67.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.1704.1.0',plain,
% 164.63/165.06 ( meet(X1,one) = meet(one,composition(meet(X1,one),top)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1704.0.2']),
% 164.63/165.06 [weight('<87,1700,130,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.1704.2.0',plain,
% 164.63/165.06 ( meet(one,composition(meet(X1,one),top)) = meet(X1,one) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1704.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1691]).
% 164.63/165.06 cnf('0.1705.0.0',plain,
% 164.63/165.06 ( meet(one,converse(composition(meet(X1,one),top))) = converse(meet(X1,one)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.225.2.0','0.1704.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.1705.0.1',plain,
% 164.63/165.06 ( meet(one,composition(top,converse(meet(X1,one)))) = converse(meet(X1,one)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1705.0.0','0.79.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.1705.0.2',plain,
% 164.63/165.06 ( meet(one,composition(meet(X1,one),top)) = converse(meet(X1,one)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1705.0.1','0.1701.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.1705.0.3',plain,
% 164.63/165.06 ( meet(X1,one) = converse(meet(X1,one)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1705.0.2','0.1704.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.1705.0.4',plain,
% 164.63/165.06 ( meet(X1,one) = meet(one,converse(X1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1705.0.3','0.226.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1705.1.0',plain,
% 164.63/165.06 ( meet(X1,one) = meet(one,converse(X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1705.0.4']),
% 164.63/165.06 [weight('<39,1704,225,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.1705.2.0',plain,
% 164.63/165.06 ( meet(one,converse(X1)) = meet(X1,one) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1705.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1692]).
% 164.63/165.06 cnf('0.1738.0.0',plain,
% 164.63/165.06 ( composition(top,meet(one,composition(converse(X1),top))) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1306.2.0','0.1702.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.1738.0.1',plain,
% 164.63/165.06 ( composition(top,composition(converse(converse(X1)),one)) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1738.0.0','0.1308.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.1738.0.2',plain,
% 164.63/165.06 ( composition(top,converse(converse(X1))) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1738.0.1','0.2.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.1738.0.3',plain,
% 164.63/165.06 ( composition(top,X1) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1738.0.2','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.1738.0.4',plain,
% 164.63/165.06 ( composition(top,X1) = composition(top,meet(one,composition(top,X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1738.0.3','0.1306.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.1738.1.0',plain,
% 164.63/165.06 ( composition(top,X1) = composition(top,meet(one,composition(top,X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1738.0.4']),
% 164.63/165.06 [weight('<87,1702,1306,[0,0,0,5]>')]).
% 164.63/165.06 cnf('0.1738.2.0',plain,
% 164.63/165.06 ( composition(top,meet(one,composition(top,X1))) = composition(top,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.1738.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_1725]).
% 164.63/165.06 cnf('0.1763.0.0',plain,
% 164.63/165.06 ( meet(composition(converse(X1),X2),one) = meet(one,composition(converse(X2),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1705.2.0','0.28.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.1763.1.0',plain,
% 164.63/165.06 ( meet(composition(converse(X1),X2),one) = meet(one,composition(converse(X2),X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.1763.0.0']),
% 164.63/165.06 [weight('<90,1705,28,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.1763.1.1',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X2),X1)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.1763.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.1763.2.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X2),X1)) ),
% 164.63/165.06 inference(activate,[status(thm)],['0.1763.1.1']),
% 164.63/165.06 [equation_15]).
% 164.63/165.06 cnf('0.6029.0.0',plain,
% 164.63/165.06 ( meet(X1,join(X2,X3)) = meet(join(X2,X3),meet(join(X3,X2),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.508.2.0','0.85.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.6029.1.0',plain,
% 164.63/165.06 ( meet(X1,join(X2,X3)) = meet(join(X2,X3),meet(join(X3,X2),X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6029.0.0']),
% 164.63/165.06 [weight('<149,508,85,[1,0,0,3]>')]).
% 164.63/165.06 cnf('0.6029.2.0',plain,
% 164.63/165.06 ( meet(join(X1,X2),meet(join(X2,X1),X3)) = meet(X3,join(X1,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6029.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_6004]).
% 164.63/165.06 cnf('0.6030.0.0',plain,
% 164.63/165.06 ( meet(X1,join(X2,X3)) = meet(join(X3,X2),meet(join(X3,X2),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.6029.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.6030.0.1',plain,
% 164.63/165.06 ( meet(X1,join(X2,X3)) = meet(join(X3,X2),X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6030.0.0','0.90.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.6030.1.0',plain,
% 164.63/165.06 ( meet(X1,join(X2,X3)) = meet(join(X3,X2),X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6030.0.1']),
% 164.63/165.06 [weight('<120,6029,0,[1,0,0,1]>')]).
% 164.63/165.06 cnf('0.6030.2.0',plain,
% 164.63/165.06 ( meet(X1,join(X2,X3)) = meet(join(X3,X2),X1) ),
% 164.63/165.06 inference(activate,[status(thm)],['0.6030.1.0']),
% 164.63/165.06 [equation_26]).
% 164.63/165.06 cnf('0.6208.0.0',plain,
% 164.63/165.06 ( meet(composition(X1,X2),one) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1484.2.0','0.886.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.6208.1.0',plain,
% 164.63/165.06 ( meet(composition(X1,X2),one) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6208.0.0']),
% 164.63/165.06 [weight('<149,1484,886,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.6208.1.1',plain,
% 164.63/165.06 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6208.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.6208.2.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,join(X2,converse(complement(X1))))) = meet(one,composition(X1,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6208.1.1',theory(equality)]),
% 164.63/165.06 [x,rule_6182]).
% 164.63/165.06 cnf('0.6592.0.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.6208.2.0','0.4.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.6592.1.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6592.0.0']),
% 164.63/165.06 [weight('<149,6208,4,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.6592.2.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,join(converse(complement(X1)),X2))) = meet(one,composition(X1,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6592.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_6566]).
% 164.63/165.06 cnf('0.6602.0.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,join(X2,complement(converse(complement(X1)))))) = meet(one,composition(X1,top)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.6592.2.0','0.97.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.6602.0.1',plain,
% 164.63/165.06 ( meet(one,composition(X1,join(X2,converse(complement(complement(X1)))))) = meet(one,composition(X1,top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6602.0.0','0.220.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2.2','L')]).
% 164.63/165.06 cnf('0.6602.0.2',plain,
% 164.63/165.06 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6602.0.1','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2.2.1','L')]).
% 164.63/165.06 cnf('0.6602.1.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6602.0.2']),
% 164.63/165.06 [weight('<125,6592,97,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.6602.2.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6602.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_6576]).
% 164.63/165.06 cnf('0.6603.0.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,meet(complement(converse(complement(X1))),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.6592.2.0','0.187.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.6603.0.1',plain,
% 164.63/165.06 ( meet(one,composition(X1,meet(converse(complement(complement(X1))),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6603.0.0','0.220.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2.1','L')]).
% 164.63/165.06 cnf('0.6603.0.2',plain,
% 164.63/165.06 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6603.0.1','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2.1.1','L')]).
% 164.63/165.06 cnf('0.6603.0.3',plain,
% 164.63/165.06 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6603.0.2','0.6592.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.6603.1.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6603.0.3']),
% 164.63/165.06 [weight('<125,6592,187,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.6603.2.0',plain,
% 164.63/165.06 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6603.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_6577]).
% 164.63/165.06 cnf('0.6613.0.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),top)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.6602.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2.2','L')]).
% 164.63/165.06 cnf('0.6613.0.1',plain,
% 164.63/165.06 ( meet(one,composition(top,X1)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6613.0.0','0.1702.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.6613.1.0',plain,
% 164.63/165.06 ( meet(one,composition(top,X1)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6613.0.1']),
% 164.63/165.06 [weight('<125,6602,3,[1,0,0,6]>')]).
% 164.63/165.06 cnf('0.6613.2.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),join(X2,X1))) = meet(one,composition(top,X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6613.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_6587]).
% 164.63/165.06 cnf('0.6787.0.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.6603.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2.1','L')]).
% 164.63/165.06 cnf('0.6787.1.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6787.0.0']),
% 164.63/165.06 [weight('<134,6603,3,[1,0,0,5]>')]).
% 164.63/165.06 cnf('0.6787.2.0',plain,
% 164.63/165.06 ( meet(one,composition(converse(X1),meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6787.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_6761]).
% 164.63/165.06 cnf('0.6849.0.0',plain,
% 164.63/165.06 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(meet(X1,X2)),X1)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.6613.2.0','0.83.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.6849.1.0',plain,
% 164.63/165.06 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(meet(X1,X2)),X1)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6849.0.0']),
% 164.63/165.06 [weight('<143,6613,83,[1,0,0,5]>')]).
% 164.63/165.06 cnf('0.6849.1.1',plain,
% 164.63/165.06 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6849.1.0','0.1763.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.6849.1.2',plain,
% 164.63/165.06 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6849.1.1','0.6787.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.6849.2.0',plain,
% 164.63/165.06 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6849.1.2',theory(equality)]),
% 164.63/165.06 [u,rule_6823]).
% 164.63/165.06 cnf('0.6851.0.0',plain,
% 164.63/165.06 ( composition(top,meet(one,composition(top,meet(X1,X2)))) = composition(top,composition(converse(one),meet(one,composition(converse(X1),X2)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.1306.2.0','0.6849.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.6851.0.1',plain,
% 164.63/165.06 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(one),meet(one,composition(converse(X1),X2)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6851.0.0','0.1738.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.6851.0.2',plain,
% 164.63/165.06 ( composition(top,meet(X1,X2)) = composition(top,meet(one,composition(converse(X1),X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6851.0.1','0.1306.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.6851.1.0',plain,
% 164.63/165.06 ( composition(top,meet(X1,X2)) = composition(top,meet(one,composition(converse(X1),X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6851.0.2']),
% 164.63/165.06 [weight('<125,6849,1306,[0,0,0,5]>')]).
% 164.63/165.06 cnf('0.6851.2.0',plain,
% 164.63/165.06 ( composition(top,meet(one,composition(converse(X1),X2))) = composition(top,meet(X1,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6851.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_6825]).
% 164.63/165.06 cnf('0.6852.0.0',plain,
% 164.63/165.06 ( composition(top,meet(converse(X1),X2)) = composition(top,meet(one,composition(X1,X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.6851.2.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2.1','L')]).
% 164.63/165.06 cnf('0.6852.1.0',plain,
% 164.63/165.06 ( composition(top,meet(converse(X1),X2)) = composition(top,meet(one,composition(X1,X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6852.0.0']),
% 164.63/165.06 [weight('<111,6851,3,[1,0,0,5]>')]).
% 164.63/165.06 cnf('0.6852.2.0',plain,
% 164.63/165.06 ( composition(top,meet(one,composition(X1,X2))) = composition(top,meet(converse(X1),X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6852.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_6826]).
% 164.63/165.06 cnf('0.6889.0.0',plain,
% 164.63/165.06 ( composition(top,meet(converse(converse(X1)),composition(converse(X2),X3))) = composition(top,meet(one,composition(converse(composition(X2,X1)),X3))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.6852.2.0','0.734.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.2','L')]).
% 164.63/165.06 cnf('0.6889.0.1',plain,
% 164.63/165.06 ( composition(top,meet(X1,composition(converse(X2),X3))) = composition(top,meet(one,composition(converse(composition(X2,X1)),X3))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6889.0.0','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.6889.0.2',plain,
% 164.63/165.06 ( composition(top,meet(X1,composition(converse(X2),X3))) = composition(top,meet(converse(converse(composition(X2,X1))),X3)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6889.0.1','0.6852.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.6889.0.3',plain,
% 164.63/165.06 ( composition(top,meet(X1,composition(converse(X2),X3))) = composition(top,meet(composition(X2,X1),X3)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6889.0.2','0.3.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2.1','L')]).
% 164.63/165.06 cnf('0.6889.1.0',plain,
% 164.63/165.06 ( composition(top,meet(X1,composition(converse(X2),X3))) = composition(top,meet(composition(X2,X1),X3)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6889.0.3']),
% 164.63/165.06 [weight('<143,6852,734,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.6889.2.0',plain,
% 164.63/165.06 ( composition(top,meet(X1,composition(converse(X2),X3))) = composition(top,meet(composition(X2,X1),X3)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6889.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_6863]).
% 164.63/165.06 cnf('0.6894.0.0',plain,
% 164.63/165.06 ( composition(top,meet(composition(sk1,complement(X1)),composition(sk1,X1))) = composition(top,zero) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.6889.2.0','0.1392.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.6894.0.1',plain,
% 164.63/165.06 ( composition(top,meet(composition(sk1,complement(X1)),composition(sk1,X1))) = zero ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6894.0.0','0.69.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.6894.1.0',plain,
% 164.63/165.06 ( composition(top,meet(composition(sk1,complement(X1)),composition(sk1,X1))) = zero ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6894.0.1']),
% 164.63/165.06 [weight('<131,6889,1392,[1,0,0,2]>')]).
% 164.63/165.06 cnf('0.6894.1.1',plain,
% 164.63/165.06 ( composition(top,meet(composition(sk1,X1),composition(sk1,complement(X1)))) = zero ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6894.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.6894.2.0',plain,
% 164.63/165.06 ( composition(top,meet(composition(sk1,X1),composition(sk1,complement(X1)))) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6894.1.1',theory(equality)]),
% 164.63/165.06 [u,rule_6868]).
% 164.63/165.06 cnf('0.6895.0.0',plain,
% 164.63/165.06 ( composition(join(one,top),meet(composition(sk1,X1),composition(sk1,complement(X1)))) = join(meet(composition(sk1,X1),composition(sk1,complement(X1))),zero) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.46.2.0','0.6894.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.6895.0.1',plain,
% 164.63/165.06 ( composition(top,meet(composition(sk1,X1),composition(sk1,complement(X1)))) = join(meet(composition(sk1,X1),composition(sk1,complement(X1))),zero) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6895.0.0','0.51.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.6895.0.2',plain,
% 164.63/165.06 ( zero = join(meet(composition(sk1,X1),composition(sk1,complement(X1))),zero) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6895.0.1','0.6894.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.6895.0.3',plain,
% 164.63/165.06 ( zero = meet(composition(sk1,X1),composition(sk1,complement(X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6895.0.2','0.66.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.6895.1.0',plain,
% 164.63/165.06 ( zero = meet(composition(sk1,X1),composition(sk1,complement(X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6895.0.3']),
% 164.63/165.06 [weight('<89,6894,46,[0,0,0,2]>')]).
% 164.63/165.06 cnf('0.6895.2.0',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),composition(sk1,complement(X1))) = zero ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6895.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_6869]).
% 164.63/165.06 cnf('0.6896.0.0',plain,
% 164.63/165.06 ( meet(complement(composition(sk1,complement(X1))),composition(sk1,X1)) = meet(composition(sk1,X1),complement(zero)) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.191.2.0','0.6895.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.6896.0.1',plain,
% 164.63/165.06 ( meet(complement(composition(sk1,complement(X1))),composition(sk1,X1)) = meet(composition(sk1,X1),top) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6896.0.0','0.64.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.6896.0.2',plain,
% 164.63/165.06 ( meet(complement(composition(sk1,complement(X1))),composition(sk1,X1)) = composition(sk1,X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6896.0.1','0.74.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.6896.1.0',plain,
% 164.63/165.06 ( meet(complement(composition(sk1,complement(X1))),composition(sk1,X1)) = composition(sk1,X1) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6896.0.2']),
% 164.63/165.06 [weight('<129,6895,191,[0,0,0,3]>')]).
% 164.63/165.06 cnf('0.6896.1.1',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),complement(composition(sk1,complement(X1)))) = composition(sk1,X1) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6896.1.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.6896.2.0',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),complement(composition(sk1,complement(X1)))) = composition(sk1,X1) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6896.1.1',theory(equality)]),
% 164.63/165.06 [u,rule_6870]).
% 164.63/165.06 cnf('0.6897.0.0',plain,
% 164.63/165.06 ( complement(complement(composition(sk1,complement(X1)))) = meet(join(composition(sk1,X1),complement(complement(composition(sk1,complement(X1))))),complement(composition(sk1,X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.913.2.0','0.6896.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.6897.0.1',plain,
% 164.63/165.06 ( composition(sk1,complement(X1)) = meet(join(composition(sk1,X1),complement(complement(composition(sk1,complement(X1))))),complement(composition(sk1,X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6897.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.6897.0.2',plain,
% 164.63/165.06 ( composition(sk1,complement(X1)) = meet(join(composition(sk1,X1),composition(sk1,complement(X1))),complement(composition(sk1,X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6897.0.1','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1.2','L')]).
% 164.63/165.06 cnf('0.6897.0.3',plain,
% 164.63/165.06 ( composition(sk1,complement(X1)) = meet(composition(sk1,join(X1,complement(X1))),complement(composition(sk1,X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6897.0.2','0.886.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1','L')]).
% 164.63/165.06 cnf('0.6897.0.4',plain,
% 164.63/165.06 ( composition(sk1,complement(X1)) = meet(composition(sk1,top),complement(composition(sk1,X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.6897.0.3','0.6.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.1.2','L')]).
% 164.63/165.06 cnf('0.6897.1.0',plain,
% 164.63/165.06 ( composition(sk1,complement(X1)) = meet(composition(sk1,top),complement(composition(sk1,X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6897.0.4']),
% 164.63/165.06 [weight('<116,6896,913,[0,0,0,6]>')]).
% 164.63/165.06 cnf('0.6897.2.0',plain,
% 164.63/165.06 ( meet(composition(sk1,top),complement(composition(sk1,X1))) = composition(sk1,complement(X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6897.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_6871]).
% 164.63/165.06 cnf('0.6902.0.0',plain,
% 164.63/165.06 ( join(composition(sk1,X1),complement(composition(sk1,top))) = complement(composition(sk1,complement(X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.113.2.0','0.6897.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.6902.1.0',plain,
% 164.63/165.06 ( join(composition(sk1,X1),complement(composition(sk1,top))) = complement(composition(sk1,complement(X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.6902.0.0']),
% 164.63/165.06 [weight('<125,6897,113,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.6902.2.0',plain,
% 164.63/165.06 ( join(composition(sk1,X1),complement(composition(sk1,top))) = complement(composition(sk1,complement(X1))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.6902.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_6876]).
% 164.63/165.06 cnf('0.17345.0.0',plain,
% 164.63/165.06 ( join(composition(X1,X2),join(composition(X1,X3),X4)) = join(composition(X1,join(X2,X3)),X4) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.5.2.0','0.886.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.17345.1.0',plain,
% 164.63/165.06 ( join(composition(X1,X2),join(composition(X1,X3),X4)) = join(composition(X1,join(X2,X3)),X4) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.17345.0.0']),
% 164.63/165.06 [weight('<169,886,5,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.17345.2.0',plain,
% 164.63/165.06 ( join(composition(X1,X2),join(composition(X1,X3),X4)) = join(composition(X1,join(X2,X3)),X4) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.17345.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_17275]).
% 164.63/165.06 cnf('0.18606.0.0',plain,
% 164.63/165.06 ( join(composition(sk1,join(X1,X2)),complement(composition(sk1,top))) = join(composition(sk1,X1),complement(composition(sk1,complement(X2)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.17345.2.0','0.6902.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('0.18606.0.1',plain,
% 164.63/165.06 ( complement(composition(sk1,complement(join(X1,X2)))) = join(composition(sk1,X1),complement(composition(sk1,complement(X2)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.18606.0.0','0.6902.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.18606.1.0',plain,
% 164.63/165.06 ( complement(composition(sk1,complement(join(X1,X2)))) = join(composition(sk1,X1),complement(composition(sk1,complement(X2)))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.18606.0.1']),
% 164.63/165.06 [weight('<169,17345,6902,[1,0,0,4]>')]).
% 164.63/165.06 cnf('0.18606.2.0',plain,
% 164.63/165.06 ( join(composition(sk1,X1),complement(composition(sk1,complement(X2)))) = complement(composition(sk1,complement(join(X1,X2)))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.18606.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_18515]).
% 164.63/165.06 cnf('0.18607.0.0',plain,
% 164.63/165.06 ( complement(composition(sk1,complement(join(X1,complement(X2))))) = join(composition(sk1,X1),complement(composition(sk1,X2))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.18606.2.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1.2','L')]).
% 164.63/165.06 cnf('0.18607.0.1',plain,
% 164.63/165.06 ( complement(composition(sk1,meet(complement(X1),X2))) = join(composition(sk1,X1),complement(composition(sk1,X2))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.18607.0.0','0.108.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1.2','L')]).
% 164.63/165.06 cnf('0.18607.1.0',plain,
% 164.63/165.06 ( complement(composition(sk1,meet(complement(X1),X2))) = join(composition(sk1,X1),complement(composition(sk1,X2))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.18607.0.1']),
% 164.63/165.06 [weight('<143,18606,68,[1,0,0,7]>')]).
% 164.63/165.06 cnf('0.18607.2.0',plain,
% 164.63/165.06 ( join(composition(sk1,X1),complement(composition(sk1,X2))) = complement(composition(sk1,meet(complement(X1),X2))) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.18607.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_18516]).
% 164.63/165.06 cnf('0.18608.0.0',plain,
% 164.63/165.06 ( meet(complement(composition(sk1,X1)),composition(sk1,X2)) = complement(complement(composition(sk1,meet(complement(X1),X2)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.108.2.0','0.18607.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.18608.0.1',plain,
% 164.63/165.06 ( meet(complement(composition(sk1,X1)),composition(sk1,X2)) = composition(sk1,meet(complement(X1),X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.18608.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.18608.1.0',plain,
% 164.63/165.06 ( meet(complement(composition(sk1,X1)),composition(sk1,X2)) = composition(sk1,meet(complement(X1),X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.18608.0.1']),
% 164.63/165.06 [weight('<134,18607,108,[0,0,0,1]>')]).
% 164.63/165.06 cnf('0.18608.2.0',plain,
% 164.63/165.06 ( meet(complement(composition(sk1,X1)),composition(sk1,X2)) = composition(sk1,meet(complement(X1),X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.18608.1.0',theory(equality)]),
% 164.63/165.06 [u,rule_18517]).
% 164.63/165.06 cnf('0.18609.0.0',plain,
% 164.63/165.06 ( composition(sk1,meet(complement(X1),X2)) = meet(composition(sk1,X2),complement(composition(sk1,X1))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.18608.2.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L','L')]).
% 164.63/165.06 cnf('0.18609.1.0',plain,
% 164.63/165.06 ( composition(sk1,meet(complement(X1),X2)) = meet(composition(sk1,X2),complement(composition(sk1,X1))) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.18609.0.0']),
% 164.63/165.06 [weight('<134,18608,18,[1,0,0,0]>')]).
% 164.63/165.06 cnf('0.18609.2.0',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),complement(composition(sk1,X2))) = composition(sk1,meet(complement(X2),X1)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.18609.1.0',theory(equality)]),
% 164.63/165.06 [x,rule_18518]).
% 164.63/165.06 cnf('0.18611.0.0',plain,
% 164.63/165.06 ( meet(complement(complement(composition(sk1,X1))),composition(sk1,X2)) = meet(composition(sk1,X2),complement(composition(sk1,meet(complement(X1),X2)))) ),
% 164.63/165.06 inference(cp,[status(thm)],['0.191.2.0','0.18609.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2.1','L')]).
% 164.63/165.06 cnf('0.18611.0.1',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),composition(sk1,X2)) = meet(composition(sk1,X2),complement(composition(sk1,meet(complement(X1),X2)))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.18611.0.0','0.68.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.1','L')]).
% 164.63/165.06 cnf('0.18611.0.2',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),composition(sk1,X2)) = composition(sk1,meet(complement(meet(complement(X1),X2)),X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.18611.0.1','0.18609.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('0.18611.0.3',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),composition(sk1,X2)) = composition(sk1,meet(join(X1,complement(X2)),X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.18611.0.2','0.111.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2.1','L')]).
% 164.63/165.06 cnf('0.18611.1.0',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),composition(sk1,X2)) = composition(sk1,meet(join(X1,complement(X2)),X2)) ),
% 164.63/165.06 inference(weigh,[status(thm)],['0.18611.0.3']),
% 164.63/165.06 [weight('<143,18609,191,[0,0,0,3]>')]).
% 164.63/165.06 cnf('0.18611.1.1',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),composition(sk1,X2)) = composition(sk1,meet(X2,join(complement(X2),X1))) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.18611.1.0','0.6030.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','R')]).
% 164.63/165.06 cnf('0.18611.1.2',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),composition(sk1,X2)) = composition(sk1,meet(X1,X2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['0.18611.1.1','0.193.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('0.18611.2.0',plain,
% 164.63/165.06 ( meet(composition(sk1,X1),composition(sk1,X2)) = composition(sk1,meet(X1,X2)) ),
% 164.63/165.06 inference(orient,[status(thm)],['0.18611.1.2',theory(equality)]),
% 164.63/165.06 [u,rule_18520]).
% 164.63/165.06 cnf('1.0.0.0',conjecture,
% 164.63/165.06 ( composition(sk1,meet(sk2,sk3)) = meet(composition(sk1,sk2),composition(sk1,sk3)) ),
% 164.63/165.06 file('/tmp/WALDMEISTER_2656_n011',conjecture_1)).
% 164.63/165.06 cnf('1.0.0.1',plain,
% 164.63/165.06 ( composition(sk1,meet(sk3,sk2)) = meet(composition(sk1,sk2),composition(sk1,sk3)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['1.0.0.0','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('L.2','L')]).
% 164.63/165.06 cnf('1.0.0.2',plain,
% 164.63/165.06 ( composition(sk1,meet(sk3,sk2)) = composition(sk1,meet(sk2,sk3)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['1.0.0.1','0.18611.2.0',theory(equality)]),
% 164.63/165.06 [pos('R','L')]).
% 164.63/165.06 cnf('1.0.0.3',plain,
% 164.63/165.06 ( composition(sk1,meet(sk3,sk2)) = composition(sk1,meet(sk3,sk2)) ),
% 164.63/165.06 inference(reduction,[status(thm)],['1.0.0.2','0.18.2.0',theory(equality)]),
% 164.63/165.06 [pos('R.2','L')]).
% 164.63/165.06 cnf('1.0.0.4',plain,
% 164.63/165.06 ( $true ),
% 164.63/165.06 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 164.63/165.06 [conjecture_1]).
% 164.63/165.06
% 164.63/165.06 Proved Goals:
% 164.63/165.06 No. 1: composition(sk1,meet(sk2,sk3)) ?= meet(composition(sk1,sk2),composition(sk1,sk3)) joined, current: composition(sk1,meet(sk3,sk2)) = composition(sk1,meet(sk3,sk2))
% 164.63/165.06 1 goal was specified, which was proved.
% 164.63/165.06 % SZS output end CNFRefutation
% 164.63/165.06 #END OF PROOF
% 164.63/165.06
% 164.63/165.06 Problem WALDMEISTER_2656_n011
% 164.63/165.06 CPs.gen 50878988
% 164.63/165.06 CPs.reexp 0
% 164.63/165.06 Select 1720390
% 164.63/165.06 R 18520
% 164.63/165.06 E 91
% 164.63/165.06 vsize 20.4M
% 164.63/165.06 rss 15.9M
% 164.63/165.06 process.time 164.028s
% 164.63/165.06 wallclock.time 164.064s
% 164.63/165.06 status S
% 164.63/165.06
% 164.63/165.06
% 164.63/165.06 Waldmeister states: Goal proved.
% 164.63/165.06 % SZS status Unsatisfiable
%------------------------------------------------------------------------------