TSTP Solution File: REL044-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL044-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n019.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 20:10:36 EDT 2022
% Result : Unsatisfiable 11.46s 11.89s
% Output : CNFRefutation 11.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : REL044-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : woody %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 10:22:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.98 * |/ | \/ | *
% 0.58/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.98 * A. Jaeger and B. Loechner | | *
% 0.58/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 Goals:
% 0.58/0.98 ------
% 0.58/0.98
% 0.58/0.98 ( 1) join(composition(sk3,converse(sk2)),sk1) ?=? sk1
% 0.58/0.98
% 0.58/0.98 Detected structure: Orkus
% 0.58/0.98 ********************************************************************************
% 0.58/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.98 ********************************************************************************
% 0.58/0.98
% 11.46/11.89 joined goal: 1 join(composition(sk3,converse(sk2)),sk1) ?= sk1 to sk1
% 11.46/11.89 goal joined
% 11.46/11.89 % SZS status Unsatisfiable
% 11.46/11.89 #START OF PROOF
% 11.46/11.89 % SZS output start CNFRefutation
% 11.46/11.89 cnf('0.1.0.0',axiom,
% 11.46/11.89 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.1.1.0',plain,
% 11.46/11.89 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.1.0.0']),
% 11.46/11.89 [weight('<0,0,0,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.1.2.0',plain,
% 11.46/11.89 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_1]).
% 11.46/11.89 cnf('0.2.0.0',axiom,
% 11.46/11.89 ( X1 = composition(X1,one) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.2.1.0',plain,
% 11.46/11.89 ( X1 = composition(X1,one) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.2.0.0']),
% 11.46/11.89 [weight('<1,0,0,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.2.2.0',plain,
% 11.46/11.89 ( composition(X1,one) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_2]).
% 11.46/11.89 cnf('0.3.0.0',axiom,
% 11.46/11.89 ( X1 = converse(converse(X1)) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.3.1.0',plain,
% 11.46/11.89 ( X1 = converse(converse(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.3.0.0']),
% 11.46/11.89 [weight('<2,0,0,[0,0,0,3]>')]).
% 11.46/11.89 cnf('0.3.2.0',plain,
% 11.46/11.89 ( converse(converse(X1)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_3]).
% 11.46/11.89 cnf('0.4.0.0',axiom,
% 11.46/11.89 ( join(X1,X2) = join(X2,X1) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.4.1.0',plain,
% 11.46/11.89 ( join(X1,X2) = join(X2,X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.4.0.0']),
% 11.46/11.89 [weight('<3,0,0,[0,0,0,4]>')]).
% 11.46/11.89 cnf('0.4.2.0',plain,
% 11.46/11.89 ( join(X1,X2) = join(X2,X1) ),
% 11.46/11.89 inference(activate,[status(thm)],['0.4.1.0']),
% 11.46/11.89 [equation_1]).
% 11.46/11.89 cnf('0.5.0.0',axiom,
% 11.46/11.89 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.5.1.0',plain,
% 11.46/11.89 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.5.0.0']),
% 11.46/11.89 [weight('<4,0,0,[0,0,0,5]>')]).
% 11.46/11.89 cnf('0.5.2.0',plain,
% 11.46/11.89 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_4]).
% 11.46/11.89 cnf('0.6.0.0',axiom,
% 11.46/11.89 ( join(X1,complement(X1)) = top ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.6.1.0',plain,
% 11.46/11.89 ( join(X1,complement(X1)) = top ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.6.0.0']),
% 11.46/11.89 [weight('<5,0,0,[0,0,0,6]>')]).
% 11.46/11.89 cnf('0.6.2.0',plain,
% 11.46/11.89 ( join(X1,complement(X1)) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_5]).
% 11.46/11.89 cnf('0.7.0.0',axiom,
% 11.46/11.89 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.7.1.0',plain,
% 11.46/11.89 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.7.0.0']),
% 11.46/11.89 [weight('<6,0,0,[0,0,0,7]>')]).
% 11.46/11.89 cnf('0.7.2.0',plain,
% 11.46/11.89 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_6]).
% 11.46/11.89 cnf('0.8.0.0',axiom,
% 11.46/11.89 ( join(composition(complement(sk1),sk2),complement(sk3)) = complement(sk3) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.8.1.0',plain,
% 11.46/11.89 ( join(composition(complement(sk1),sk2),complement(sk3)) = complement(sk3) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.8.0.0']),
% 11.46/11.89 [weight('<7,0,0,[0,0,0,8]>')]).
% 11.46/11.89 cnf('0.8.1.1',plain,
% 11.46/11.89 ( join(complement(sk3),composition(complement(sk1),sk2)) = complement(sk3) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.8.2.0',plain,
% 11.46/11.89 ( join(complement(sk3),composition(complement(sk1),sk2)) = complement(sk3) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 11.46/11.89 [u,rule_7]).
% 11.46/11.89 cnf('0.9.0.0',axiom,
% 11.46/11.89 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.9.1.0',plain,
% 11.46/11.89 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.9.0.0']),
% 11.46/11.89 [weight('<8,0,0,[0,0,0,9]>')]).
% 11.46/11.89 cnf('0.9.1.1',plain,
% 11.46/11.89 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.9.1.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.9.2.0',plain,
% 11.46/11.89 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.9.1.1',theory(equality)]),
% 11.46/11.89 [u,rule_8]).
% 11.46/11.89 cnf('0.10.0.0',axiom,
% 11.46/11.89 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.10.1.0',plain,
% 11.46/11.89 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.10.0.0']),
% 11.46/11.89 [weight('<9,0,0,[0,0,0,10]>')]).
% 11.46/11.89 cnf('0.10.2.0',plain,
% 11.46/11.89 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_9]).
% 11.46/11.89 cnf('0.11.0.0',axiom,
% 11.46/11.89 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.11.1.0',plain,
% 11.46/11.89 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.11.0.0']),
% 11.46/11.89 [weight('<10,0,0,[0,0,0,11]>')]).
% 11.46/11.89 cnf('0.11.2.0',plain,
% 11.46/11.89 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_10]).
% 11.46/11.89 cnf('0.12.0.0',axiom,
% 11.46/11.89 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.12.1.0',plain,
% 11.46/11.89 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.12.0.0']),
% 11.46/11.89 [weight('<11,0,0,[0,0,0,12]>')]).
% 11.46/11.89 cnf('0.12.2.0',plain,
% 11.46/11.89 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_11]).
% 11.46/11.89 cnf('0.13.0.0',axiom,
% 11.46/11.89 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.13.1.0',plain,
% 11.46/11.89 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.13.0.0']),
% 11.46/11.89 [weight('<12,0,0,[0,0,0,13]>')]).
% 11.46/11.89 cnf('0.13.2.0',plain,
% 11.46/11.89 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_12]).
% 11.46/11.89 cnf('0.14.0.0',axiom,
% 11.46/11.89 ( meet(X1,complement(X1)) = zero ),
% 11.46/11.89 file('/tmp/WALDMEISTER_9942_n019')).
% 11.46/11.89 cnf('0.14.1.0',plain,
% 11.46/11.89 ( meet(X1,complement(X1)) = zero ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.14.0.0']),
% 11.46/11.89 [weight('<13,0,0,[0,0,0,14]>')]).
% 11.46/11.89 cnf('0.14.2.0',plain,
% 11.46/11.89 ( meet(X1,complement(X1)) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_13]).
% 11.46/11.89 cnf('0.15.0.0',plain,
% 11.46/11.89 ( meet(X1,complement(X1)) = complement(top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.11.2.0','0.6.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.15.1.0',plain,
% 11.46/11.89 ( meet(X1,complement(X1)) = complement(top) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.15.0.0']),
% 11.46/11.89 [weight('<34,11,6,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.15.1.1',plain,
% 11.46/11.89 ( zero = complement(top) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.15.1.0','0.14.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.15.2.0',plain,
% 11.46/11.89 ( complement(top) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 11.46/11.89 [x,rule_14]).
% 11.46/11.89 cnf('0.18.0.0',plain,
% 11.46/11.89 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.11.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.18.0.1',plain,
% 11.46/11.89 ( meet(X1,X2) = meet(X2,X1) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.18.0.0','0.11.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.18.1.0',plain,
% 11.46/11.89 ( meet(X1,X2) = meet(X2,X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.18.0.1']),
% 11.46/11.89 [weight('<48,11,4,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.18.2.0',plain,
% 11.46/11.89 ( meet(X1,X2) = meet(X2,X1) ),
% 11.46/11.89 inference(activate,[status(thm)],['0.18.1.0']),
% 11.46/11.89 [equation_2]).
% 11.46/11.89 cnf('0.20.0.0',plain,
% 11.46/11.89 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.11.2.0','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.1','L')]).
% 11.46/11.89 cnf('0.20.1.0',plain,
% 11.46/11.89 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.20.0.0']),
% 11.46/11.89 [weight('<53,15,11,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.20.2.0',plain,
% 11.46/11.89 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_18]).
% 11.46/11.89 cnf('0.25.0.0',plain,
% 11.46/11.89 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.25.1.0',plain,
% 11.46/11.89 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.25.0.0']),
% 11.46/11.89 [weight('<59,10,3,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.25.2.0',plain,
% 11.46/11.89 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_23]).
% 11.46/11.89 cnf('0.26.0.0',plain,
% 11.46/11.89 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.10.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.26.1.0',plain,
% 11.46/11.89 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.26.0.0']),
% 11.46/11.89 [weight('<59,10,3,[1,0,0,3]>')]).
% 11.46/11.89 cnf('0.26.2.0',plain,
% 11.46/11.89 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_24]).
% 11.46/11.89 cnf('0.27.0.0',plain,
% 11.46/11.89 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.13.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.27.1.0',plain,
% 11.46/11.89 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.27.0.0']),
% 11.46/11.89 [weight('<59,13,3,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.27.2.0',plain,
% 11.46/11.89 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_25]).
% 11.46/11.89 cnf('0.28.0.0',plain,
% 11.46/11.89 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.13.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.28.1.0',plain,
% 11.46/11.89 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.28.0.0']),
% 11.46/11.89 [weight('<59,13,3,[1,0,0,3]>')]).
% 11.46/11.89 cnf('0.28.2.0',plain,
% 11.46/11.89 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_26]).
% 11.46/11.89 cnf('0.29.0.0',plain,
% 11.46/11.89 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.28.2.0','0.2.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.29.0.1',plain,
% 11.46/11.89 ( composition(converse(one),X1) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.29.0.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.29.1.0',plain,
% 11.46/11.89 ( composition(converse(one),X1) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.29.0.1']),
% 11.46/11.89 [weight('<29,28,2,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.29.2.0',plain,
% 11.46/11.89 ( composition(converse(one),X1) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_27]).
% 11.46/11.89 cnf('0.30.0.0',plain,
% 11.46/11.89 ( one = converse(one) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.29.2.0','0.2.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.30.1.0',plain,
% 11.46/11.89 ( one = converse(one) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.30.0.0']),
% 11.46/11.89 [weight('<11,29,2,[1,0,0,0]>')]).
% 11.46/11.89 cnf('0.30.2.0',plain,
% 11.46/11.89 ( converse(one) = one ),
% 11.46/11.89 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_28]).
% 11.46/11.89 cnf('0.31.0.0',plain,
% 11.46/11.89 ( composition(converse(one),X1) = X1 ),
% 11.46/11.89 inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 11.46/11.89 cnf('0.31.0.1',plain,
% 11.46/11.89 ( composition(one,X1) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.31.1.0',plain,
% 11.46/11.89 ( composition(one,X1) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.31.0.1']),
% 11.46/11.89 [weight('<19,29,30,[0,0,0,0]>')]).
% 11.46/11.89 cnf('0.31.2.0',plain,
% 11.46/11.89 ( composition(one,X1) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_29]).
% 11.46/11.89 cnf('0.32.0.0',plain,
% 11.46/11.89 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.10.2.0','0.30.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.32.1.0',plain,
% 11.46/11.89 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.32.0.0']),
% 11.46/11.89 [weight('<44,30,10,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.32.2.0',plain,
% 11.46/11.89 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_30]).
% 11.46/11.89 cnf('0.34.0.0',plain,
% 11.46/11.89 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.9.2.0','0.31.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.2.1','L')]).
% 11.46/11.89 cnf('0.34.0.1',plain,
% 11.46/11.89 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.34.0.0','0.30.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.2.1','L')]).
% 11.46/11.89 cnf('0.34.0.2',plain,
% 11.46/11.89 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.34.0.1','0.31.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.2','L')]).
% 11.46/11.89 cnf('0.34.1.0',plain,
% 11.46/11.89 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.34.0.2']),
% 11.46/11.89 [weight('<47,31,9,[0,0,0,7]>')]).
% 11.46/11.89 cnf('0.34.2.0',plain,
% 11.46/11.89 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_32]).
% 11.46/11.89 cnf('0.35.0.0',plain,
% 11.46/11.89 ( complement(top) = join(zero,complement(top)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.34.2.0','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.35.0.1',plain,
% 11.46/11.89 ( zero = join(zero,complement(top)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.35.0.0','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.35.0.2',plain,
% 11.46/11.89 ( zero = join(zero,zero) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.35.0.1','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.2','L')]).
% 11.46/11.89 cnf('0.35.1.0',plain,
% 11.46/11.89 ( zero = join(zero,zero) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.35.0.2']),
% 11.46/11.89 [weight('<19,34,15,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.35.2.0',plain,
% 11.46/11.89 ( join(zero,zero) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_33]).
% 11.46/11.89 cnf('0.38.0.0',plain,
% 11.46/11.89 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.11.2.0','0.34.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.38.1.0',plain,
% 11.46/11.89 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.38.0.0']),
% 11.46/11.89 [weight('<48,34,11,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.38.2.0',plain,
% 11.46/11.89 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.46/11.89 inference(activate,[status(thm)],['0.38.1.0']),
% 11.46/11.89 [equation_3]).
% 11.46/11.89 cnf('0.39.0.0',plain,
% 11.46/11.89 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.5.2.0','0.35.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.39.1.0',plain,
% 11.46/11.89 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.39.0.0']),
% 11.46/11.89 [weight('<53,35,5,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.39.2.0',plain,
% 11.46/11.89 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_36]).
% 11.46/11.89 cnf('0.40.0.0',plain,
% 11.46/11.89 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.39.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.40.1.0',plain,
% 11.46/11.89 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.40.0.0']),
% 11.46/11.89 [weight('<53,39,4,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.40.2.0',plain,
% 11.46/11.89 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_37]).
% 11.46/11.89 cnf('0.43.0.0',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.25.2.0','0.6.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.43.1.0',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.43.0.0']),
% 11.46/11.89 [weight('<62,25,6,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.43.2.0',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_40]).
% 11.46/11.89 cnf('0.46.0.0',plain,
% 11.46/11.89 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.7.2.0','0.31.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.46.1.0',plain,
% 11.46/11.89 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.46.0.0']),
% 11.46/11.89 [weight('<65,31,7,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.46.2.0',plain,
% 11.46/11.89 ( join(X1,composition(X2,X1)) = composition(join(one,X2),X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_43]).
% 11.46/11.89 cnf('0.47.0.0',plain,
% 11.46/11.89 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.47.1.0',plain,
% 11.46/11.89 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.47.0.0']),
% 11.46/11.89 [weight('<69,6,5,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.47.2.0',plain,
% 11.46/11.89 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_44]).
% 11.46/11.89 cnf('0.48.0.0',plain,
% 11.46/11.89 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.47.2.0','0.34.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.48.0.1',plain,
% 11.46/11.89 ( join(top,complement(X1)) = top ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.48.0.0','0.6.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.48.1.0',plain,
% 11.46/11.89 ( join(top,complement(X1)) = top ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.48.0.1']),
% 11.46/11.89 [weight('<29,47,34,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.48.2.0',plain,
% 11.46/11.89 ( join(top,complement(X1)) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_45]).
% 11.46/11.89 cnf('0.51.0.0',plain,
% 11.46/11.89 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.47.2.0','0.6.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.51.1.0',plain,
% 11.46/11.89 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.51.0.0']),
% 11.46/11.89 [weight('<53,47,6,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.51.1.1',plain,
% 11.46/11.89 ( top = join(X1,top) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.51.1.0','0.48.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.51.2.0',plain,
% 11.46/11.89 ( join(X1,top) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.51.1.1',theory(equality)]),
% 11.46/11.89 [x,rule_48]).
% 11.46/11.89 cnf('0.52.0.0',plain,
% 11.46/11.89 ( top = join(top,X1) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.51.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.52.1.0',plain,
% 11.46/11.89 ( top = join(top,X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.52.0.0']),
% 11.46/11.89 [weight('<19,51,4,[1,0,0,0]>')]).
% 11.46/11.89 cnf('0.52.2.0',plain,
% 11.46/11.89 ( join(top,X1) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_49]).
% 11.46/11.89 cnf('0.53.0.0',plain,
% 11.46/11.89 ( top = converse(top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.52.2.0','0.43.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.53.1.0',plain,
% 11.46/11.89 ( top = converse(top) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.53.0.0']),
% 11.46/11.89 [weight('<11,52,43,[1,0,0,0]>')]).
% 11.46/11.89 cnf('0.53.2.0',plain,
% 11.46/11.89 ( converse(top) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_50]).
% 11.46/11.89 cnf('0.55.0.0',plain,
% 11.46/11.89 ( top = composition(join(one,X1),top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.52.2.0','0.46.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.55.1.0',plain,
% 11.46/11.89 ( top = composition(join(one,X1),top) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.55.0.0']),
% 11.46/11.89 [weight('<41,52,46,[1,0,0,0]>')]).
% 11.46/11.89 cnf('0.55.2.0',plain,
% 11.46/11.89 ( composition(join(one,X1),top) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_52]).
% 11.46/11.89 cnf('0.56.0.0',plain,
% 11.46/11.89 ( top = composition(top,top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.55.2.0','0.6.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.56.1.0',plain,
% 11.46/11.89 ( top = composition(top,top) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.56.0.0']),
% 11.46/11.89 [weight('<19,55,6,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.56.2.0',plain,
% 11.46/11.89 ( composition(top,top) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_53]).
% 11.46/11.89 cnf('0.57.0.0',plain,
% 11.46/11.89 ( complement(top) = join(complement(top),composition(converse(top),complement(top))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.9.2.0','0.56.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.2.1','L')]).
% 11.46/11.89 cnf('0.57.0.1',plain,
% 11.46/11.89 ( zero = join(complement(top),composition(converse(top),complement(top))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.57.0.0','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.57.0.2',plain,
% 11.46/11.89 ( zero = composition(join(one,converse(top)),complement(top)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.57.0.1','0.46.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.57.0.3',plain,
% 11.46/11.89 ( zero = composition(join(one,top),complement(top)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.57.0.2','0.53.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.1.2','L')]).
% 11.46/11.89 cnf('0.57.0.4',plain,
% 11.46/11.89 ( zero = composition(top,complement(top)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.57.0.3','0.51.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.1','L')]).
% 11.46/11.89 cnf('0.57.0.5',plain,
% 11.46/11.89 ( zero = composition(top,zero) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.57.0.4','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.2','L')]).
% 11.46/11.89 cnf('0.57.1.0',plain,
% 11.46/11.89 ( zero = composition(top,zero) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.57.0.5']),
% 11.46/11.89 [weight('<19,56,9,[0,0,0,7]>')]).
% 11.46/11.89 cnf('0.57.2.0',plain,
% 11.46/11.89 ( composition(top,zero) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_54]).
% 11.46/11.89 cnf('0.59.0.0',plain,
% 11.46/11.89 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 11.46/11.89 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 11.46/11.89 cnf('0.59.1.0',plain,
% 11.46/11.89 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.59.0.0']),
% 11.46/11.89 [weight('<?,1,4,[0,0,0,0]>')]).
% 11.46/11.89 cnf('0.59.1.1',plain,
% 11.46/11.89 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.59.1.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.59.1.2',plain,
% 11.46/11.89 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.59.1.1','0.11.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.59.1.3',plain,
% 11.46/11.89 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.59.1.2','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.59.2.0',plain,
% 11.46/11.89 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.59.1.3',theory(equality)]),
% 11.46/11.89 [u,rule_56]).
% 11.46/11.89 cnf('0.61.0.0',plain,
% 11.46/11.89 ( composition(join(top,X1),zero) = join(zero,composition(X1,zero)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.7.2.0','0.57.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.61.0.1',plain,
% 11.46/11.89 ( composition(top,zero) = join(zero,composition(X1,zero)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.61.0.0','0.52.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.61.0.2',plain,
% 11.46/11.89 ( zero = join(zero,composition(X1,zero)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.61.0.1','0.57.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.61.0.3',plain,
% 11.46/11.89 ( zero = composition(join(one,X1),zero) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.61.0.2','0.46.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.61.1.0',plain,
% 11.46/11.89 ( zero = composition(join(one,X1),zero) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.61.0.3']),
% 11.46/11.89 [weight('<41,57,7,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.61.2.0',plain,
% 11.46/11.89 ( composition(join(one,X1),zero) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_58]).
% 11.46/11.89 cnf('0.62.0.0',plain,
% 11.46/11.89 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.59.2.0','0.14.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.62.0.1',plain,
% 11.46/11.89 ( X1 = join(zero,meet(X1,X1)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.62.0.0','0.11.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.2','L')]).
% 11.46/11.89 cnf('0.62.1.0',plain,
% 11.46/11.89 ( X1 = join(zero,meet(X1,X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.62.0.1']),
% 11.46/11.89 [weight('<41,59,14,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.62.2.0',plain,
% 11.46/11.89 ( join(zero,meet(X1,X1)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_59]).
% 11.46/11.89 cnf('0.63.0.0',plain,
% 11.46/11.89 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.39.2.0','0.62.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.63.0.1',plain,
% 11.46/11.89 ( X1 = join(zero,X1) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.63.0.0','0.62.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.63.1.0',plain,
% 11.46/11.89 ( X1 = join(zero,X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.63.0.1']),
% 11.46/11.89 [weight('<19,62,39,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.63.2.0',plain,
% 11.46/11.89 ( join(zero,X1) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_60]).
% 11.46/11.89 cnf('0.64.0.0',plain,
% 11.46/11.89 ( complement(zero) = top ),
% 11.46/11.89 inference(cp,[status(thm)],['0.63.2.0','0.6.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.64.1.0',plain,
% 11.46/11.89 ( complement(zero) = top ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.64.0.0']),
% 11.46/11.89 [weight('<11,63,6,[1,0,0,0]>')]).
% 11.46/11.89 cnf('0.64.2.0',plain,
% 11.46/11.89 ( complement(zero) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_61]).
% 11.46/11.89 cnf('0.66.0.0',plain,
% 11.46/11.89 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 11.46/11.89 inference(interreduction_right,[status(thm)],['0.40.2.0'])).
% 11.46/11.89 cnf('0.66.0.1',plain,
% 11.46/11.89 ( join(X1,zero) = join(zero,X1) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.66.0.0','0.63.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.66.0.2',plain,
% 11.46/11.89 ( join(X1,zero) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.66.0.1','0.63.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.66.1.0',plain,
% 11.46/11.89 ( join(X1,zero) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.66.0.2']),
% 11.46/11.89 [weight('<19,40,63,[0,0,0,0]>')]).
% 11.46/11.89 cnf('0.66.2.0',plain,
% 11.46/11.89 ( join(X1,zero) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_63]).
% 11.46/11.89 cnf('0.67.0.0',plain,
% 11.46/11.89 ( join(zero,meet(X1,X1)) = X1 ),
% 11.46/11.89 inference(interreduction_right,[status(thm)],['0.62.2.0'])).
% 11.46/11.89 cnf('0.67.0.1',plain,
% 11.46/11.89 ( meet(X1,X1) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.67.0.0','0.63.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.67.1.0',plain,
% 11.46/11.89 ( meet(X1,X1) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.67.0.1']),
% 11.46/11.89 [weight('<19,62,63,[0,0,0,0]>')]).
% 11.46/11.89 cnf('0.67.2.0',plain,
% 11.46/11.89 ( meet(X1,X1) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_64]).
% 11.46/11.89 cnf('0.68.0.0',plain,
% 11.46/11.89 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.46/11.89 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 11.46/11.89 cnf('0.68.0.1',plain,
% 11.46/11.89 ( X1 = complement(complement(X1)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.68.0.0','0.67.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.68.1.0',plain,
% 11.46/11.89 ( X1 = complement(complement(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.68.0.1']),
% 11.46/11.89 [weight('<19,38,67,[0,0,0,0]>')]).
% 11.46/11.89 cnf('0.68.2.0',plain,
% 11.46/11.89 ( complement(complement(X1)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_65]).
% 11.46/11.89 cnf('0.69.0.0',plain,
% 11.46/11.89 ( composition(X1,zero) = composition(join(one,X1),zero) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.63.2.0','0.46.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.69.0.1',plain,
% 11.46/11.89 ( composition(X1,zero) = zero ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.69.0.0','0.61.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.69.1.0',plain,
% 11.46/11.89 ( composition(X1,zero) = zero ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.69.0.1']),
% 11.46/11.89 [weight('<19,63,46,[1,0,0,0]>')]).
% 11.46/11.89 cnf('0.69.2.0',plain,
% 11.46/11.89 ( composition(X1,zero) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_66]).
% 11.46/11.89 cnf('0.71.0.0',plain,
% 11.46/11.89 ( meet(X1,zero) = complement(join(complement(X1),top)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.11.2.0','0.64.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.2','L')]).
% 11.46/11.89 cnf('0.71.0.1',plain,
% 11.46/11.89 ( meet(X1,zero) = complement(top) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.71.0.0','0.51.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.1','L')]).
% 11.46/11.89 cnf('0.71.0.2',plain,
% 11.46/11.89 ( meet(X1,zero) = zero ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.71.0.1','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.71.1.0',plain,
% 11.46/11.89 ( meet(X1,zero) = zero ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.71.0.2']),
% 11.46/11.89 [weight('<19,64,11,[0,0,0,4]>')]).
% 11.46/11.89 cnf('0.71.2.0',plain,
% 11.46/11.89 ( meet(X1,zero) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_68]).
% 11.46/11.89 cnf('0.72.0.0',plain,
% 11.46/11.89 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.34.2.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.72.0.1',plain,
% 11.46/11.89 ( X1 = join(X1,complement(complement(X1))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.72.0.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.72.0.2',plain,
% 11.46/11.89 ( X1 = join(X1,X1) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.72.0.1','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.2','L')]).
% 11.46/11.89 cnf('0.72.1.0',plain,
% 11.46/11.89 ( X1 = join(X1,X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.72.0.2']),
% 11.46/11.89 [weight('<19,68,34,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.72.2.0',plain,
% 11.46/11.89 ( join(X1,X1) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_69]).
% 11.46/11.89 cnf('0.73.0.0',plain,
% 11.46/11.89 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 11.46/11.89 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 11.46/11.89 cnf('0.73.0.1',plain,
% 11.46/11.89 ( complement(complement(X1)) = meet(top,X1) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.73.0.0','0.63.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.73.1.0',plain,
% 11.46/11.89 ( complement(complement(X1)) = meet(top,X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.73.0.1']),
% 11.46/11.89 [weight('<27,20,63,[0,0,0,0]>')]).
% 11.46/11.89 cnf('0.73.1.1',plain,
% 11.46/11.89 ( X1 = meet(top,X1) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.73.1.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.73.2.0',plain,
% 11.46/11.89 ( meet(top,X1) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.73.1.1',theory(equality)]),
% 11.46/11.89 [x,rule_70]).
% 11.46/11.89 cnf('0.74.0.0',plain,
% 11.46/11.89 ( X1 = meet(X1,top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.73.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.74.1.0',plain,
% 11.46/11.89 ( X1 = meet(X1,top) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.74.0.0']),
% 11.46/11.89 [weight('<19,73,18,[1,0,0,0]>')]).
% 11.46/11.89 cnf('0.74.2.0',plain,
% 11.46/11.89 ( meet(X1,top) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_71]).
% 11.46/11.89 cnf('0.75.0.0',plain,
% 11.46/11.89 ( join(converse(zero),X1) = converse(converse(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.26.2.0','0.63.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.75.0.1',plain,
% 11.46/11.89 ( join(converse(zero),X1) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.75.0.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.75.1.0',plain,
% 11.46/11.89 ( join(converse(zero),X1) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.75.0.1']),
% 11.46/11.89 [weight('<29,63,26,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.75.2.0',plain,
% 11.46/11.89 ( join(converse(zero),X1) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_72]).
% 11.46/11.89 cnf('0.76.0.0',plain,
% 11.46/11.89 ( zero = converse(zero) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.75.2.0','0.66.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.76.1.0',plain,
% 11.46/11.89 ( zero = converse(zero) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.76.0.0']),
% 11.46/11.89 [weight('<11,75,66,[1,0,0,0]>')]).
% 11.46/11.89 cnf('0.76.2.0',plain,
% 11.46/11.89 ( converse(zero) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_73]).
% 11.46/11.89 cnf('0.77.0.0',plain,
% 11.46/11.89 ( converse(composition(X1,zero)) = composition(zero,converse(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.13.2.0','0.76.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.77.0.1',plain,
% 11.46/11.89 ( converse(zero) = composition(zero,converse(X1)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.77.0.0','0.69.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.77.0.2',plain,
% 11.46/11.89 ( zero = composition(zero,converse(X1)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.77.0.1','0.76.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.77.1.0',plain,
% 11.46/11.89 ( zero = composition(zero,converse(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.77.0.2']),
% 11.46/11.89 [weight('<29,76,13,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.77.2.0',plain,
% 11.46/11.89 ( composition(zero,converse(X1)) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_74]).
% 11.46/11.89 cnf('0.78.0.0',plain,
% 11.46/11.89 ( zero = composition(zero,X1) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.77.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.78.1.0',plain,
% 11.46/11.89 ( zero = composition(zero,X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.78.0.0']),
% 11.46/11.89 [weight('<19,77,3,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.78.2.0',plain,
% 11.46/11.89 ( composition(zero,X1) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_75]).
% 11.46/11.89 cnf('0.79.0.0',plain,
% 11.46/11.89 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.13.2.0','0.53.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.79.1.0',plain,
% 11.46/11.89 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.79.0.0']),
% 11.46/11.89 [weight('<44,53,13,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.79.2.0',plain,
% 11.46/11.89 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_76]).
% 11.46/11.89 cnf('0.80.0.0',plain,
% 11.46/11.89 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.13.2.0','0.53.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.80.1.0',plain,
% 11.46/11.89 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.80.0.0']),
% 11.46/11.89 [weight('<44,53,13,[0,0,0,3]>')]).
% 11.46/11.89 cnf('0.80.2.0',plain,
% 11.46/11.89 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_77]).
% 11.46/11.89 cnf('0.81.0.0',plain,
% 11.46/11.89 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.12.2.0','0.56.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.81.1.0',plain,
% 11.46/11.89 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.81.0.0']),
% 11.46/11.89 [weight('<53,56,12,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.81.2.0',plain,
% 11.46/11.89 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_78]).
% 11.46/11.89 cnf('0.82.0.0',plain,
% 11.46/11.89 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.5.2.0','0.72.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.82.1.0',plain,
% 11.46/11.89 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.82.0.0']),
% 11.46/11.89 [weight('<53,72,5,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.82.2.0',plain,
% 11.46/11.89 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_79]).
% 11.46/11.89 cnf('0.83.0.0',plain,
% 11.46/11.89 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.82.2.0','0.59.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.83.0.1',plain,
% 11.46/11.89 ( X1 = join(meet(X1,X2),X1) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.83.0.0','0.59.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.83.1.0',plain,
% 11.46/11.89 ( X1 = join(meet(X1,X2),X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.83.0.1']),
% 11.46/11.89 [weight('<41,82,59,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.83.1.1',plain,
% 11.46/11.89 ( X1 = join(X1,meet(X1,X2)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.83.1.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.83.2.0',plain,
% 11.46/11.89 ( join(X1,meet(X1,X2)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.83.1.1',theory(equality)]),
% 11.46/11.89 [x,rule_80]).
% 11.46/11.89 cnf('0.84.0.0',plain,
% 11.46/11.89 ( X1 = join(X1,meet(X2,X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.83.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.84.1.0',plain,
% 11.46/11.89 ( X1 = join(X1,meet(X2,X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.84.0.0']),
% 11.46/11.89 [weight('<41,83,18,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.84.2.0',plain,
% 11.46/11.89 ( join(X1,meet(X2,X1)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_81]).
% 11.46/11.89 cnf('0.85.0.0',plain,
% 11.46/11.89 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.82.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.85.1.0',plain,
% 11.46/11.89 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.85.0.0']),
% 11.46/11.89 [weight('<53,82,4,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.85.2.0',plain,
% 11.46/11.89 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_82]).
% 11.46/11.89 cnf('0.86.0.0',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.46/11.89 inference(interreduction_right,[status(thm)],['0.43.2.0'])).
% 11.46/11.89 cnf('0.86.0.1',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(X1)))) = top ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.86.0.0','0.53.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.86.1.0',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(X1)))) = top ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.86.0.1']),
% 11.46/11.89 [weight('<55,43,53,[0,0,0,0]>')]).
% 11.46/11.89 cnf('0.86.2.0',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(X1)))) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_83]).
% 11.46/11.89 cnf('0.87.0.0',plain,
% 11.46/11.89 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.46/11.89 inference(interreduction_right,[status(thm)],['0.47.2.0'])).
% 11.46/11.89 cnf('0.87.0.1',plain,
% 11.46/11.89 ( join(X1,join(complement(X1),X2)) = top ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.87.0.0','0.52.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.87.1.0',plain,
% 11.46/11.89 ( join(X1,join(complement(X1),X2)) = top ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.87.0.1']),
% 11.46/11.89 [weight('<55,47,52,[0,0,0,0]>')]).
% 11.46/11.89 cnf('0.87.2.0',plain,
% 11.46/11.89 ( join(X1,join(complement(X1),X2)) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_84]).
% 11.46/11.89 cnf('0.88.0.0',plain,
% 11.46/11.89 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.59.2.0','0.87.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.1','L')]).
% 11.46/11.89 cnf('0.88.0.1',plain,
% 11.46/11.89 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.88.0.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.1.2.1','L')]).
% 11.46/11.89 cnf('0.88.0.2',plain,
% 11.46/11.89 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.88.0.1','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.2','L')]).
% 11.46/11.89 cnf('0.88.0.3',plain,
% 11.46/11.89 ( X1 = meet(X1,join(X1,X2)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.88.0.2','0.66.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.88.1.0',plain,
% 11.46/11.89 ( X1 = meet(X1,join(X1,X2)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.88.0.3']),
% 11.46/11.89 [weight('<41,87,59,[0,0,0,5]>')]).
% 11.46/11.89 cnf('0.88.2.0',plain,
% 11.46/11.89 ( meet(X1,join(X1,X2)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_85]).
% 11.46/11.89 cnf('0.89.0.0',plain,
% 11.46/11.89 ( X1 = meet(X1,join(X2,X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.88.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.89.1.0',plain,
% 11.46/11.89 ( X1 = meet(X1,join(X2,X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.89.0.0']),
% 11.46/11.89 [weight('<41,88,4,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.89.2.0',plain,
% 11.46/11.89 ( meet(X1,join(X2,X1)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_86]).
% 11.46/11.89 cnf('0.91.0.0',plain,
% 11.46/11.89 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.89.2.0','0.84.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.91.1.0',plain,
% 11.46/11.89 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.91.0.0']),
% 11.46/11.89 [weight('<53,89,84,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.91.1.1',plain,
% 11.46/11.89 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.91.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.91.2.0',plain,
% 11.46/11.89 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.91.1.1',theory(equality)]),
% 11.46/11.89 [x,rule_88]).
% 11.46/11.89 cnf('0.97.0.0',plain,
% 11.46/11.89 ( top = join(X1,join(X2,complement(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.87.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.97.1.0',plain,
% 11.46/11.89 ( top = join(X1,join(X2,complement(X1))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.97.0.0']),
% 11.46/11.89 [weight('<55,87,4,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.97.2.0',plain,
% 11.46/11.89 ( join(X1,join(X2,complement(X1))) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_94]).
% 11.46/11.89 cnf('0.98.0.0',plain,
% 11.46/11.89 ( top = join(complement(X1),join(X1,X2)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.87.2.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.1','L')]).
% 11.46/11.89 cnf('0.98.1.0',plain,
% 11.46/11.89 ( top = join(complement(X1),join(X1,X2)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.98.0.0']),
% 11.46/11.89 [weight('<55,87,68,[1,0,0,3]>')]).
% 11.46/11.89 cnf('0.98.2.0',plain,
% 11.46/11.89 ( join(complement(X1),join(X1,X2)) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_95]).
% 11.46/11.89 cnf('0.99.0.0',plain,
% 11.46/11.89 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.85.2.0','0.87.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.99.0.1',plain,
% 11.46/11.89 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.99.0.0','0.5.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.99.0.2',plain,
% 11.46/11.89 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.99.0.1','0.5.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.99.0.3',plain,
% 11.46/11.89 ( join(complement(X1),join(X2,X1)) = join(complement(X1),top) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.99.0.2','0.51.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.2','L')]).
% 11.46/11.89 cnf('0.99.0.4',plain,
% 11.46/11.89 ( join(complement(X1),join(X2,X1)) = top ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.99.0.3','0.51.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.99.1.0',plain,
% 11.46/11.89 ( join(complement(X1),join(X2,X1)) = top ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.99.0.4']),
% 11.46/11.89 [weight('<55,87,85,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.99.2.0',plain,
% 11.46/11.89 ( join(complement(X1),join(X2,X1)) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_96]).
% 11.46/11.89 cnf('0.100.0.0',plain,
% 11.46/11.89 ( top = join(complement(meet(X1,X2)),X1) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.98.2.0','0.59.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.100.1.0',plain,
% 11.46/11.89 ( top = join(complement(meet(X1,X2)),X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.100.0.0']),
% 11.46/11.89 [weight('<55,98,59,[1,0,0,3]>')]).
% 11.46/11.89 cnf('0.100.1.1',plain,
% 11.46/11.89 ( top = join(X1,complement(meet(X1,X2))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.100.1.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.100.2.0',plain,
% 11.46/11.89 ( join(X1,complement(meet(X1,X2))) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.100.1.1',theory(equality)]),
% 11.46/11.89 [x,rule_97]).
% 11.46/11.89 cnf('0.101.0.0',plain,
% 11.46/11.89 ( top = join(complement(meet(X1,X2)),X2) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.99.2.0','0.84.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.101.1.0',plain,
% 11.46/11.89 ( top = join(complement(meet(X1,X2)),X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.101.0.0']),
% 11.46/11.89 [weight('<55,99,84,[1,0,0,3]>')]).
% 11.46/11.89 cnf('0.101.1.1',plain,
% 11.46/11.89 ( top = join(X2,complement(meet(X1,X2))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.101.1.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.101.2.0',plain,
% 11.46/11.89 ( join(X1,complement(meet(X2,X1))) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.101.1.1',theory(equality)]),
% 11.46/11.89 [x,rule_98]).
% 11.46/11.89 cnf('0.103.0.0',plain,
% 11.46/11.89 ( meet(X1,meet(X2,complement(X1))) = complement(top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.11.2.0','0.101.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.103.0.1',plain,
% 11.46/11.89 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.103.0.0','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.103.1.0',plain,
% 11.46/11.89 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.103.0.1']),
% 11.46/11.89 [weight('<55,101,11,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.103.2.0',plain,
% 11.46/11.89 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_100]).
% 11.46/11.89 cnf('0.105.0.0',plain,
% 11.46/11.89 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.103.2.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.2','L')]).
% 11.46/11.89 cnf('0.105.1.0',plain,
% 11.46/11.89 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.105.0.0']),
% 11.46/11.89 [weight('<55,103,68,[1,0,0,4]>')]).
% 11.46/11.89 cnf('0.105.2.0',plain,
% 11.46/11.89 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_102]).
% 11.46/11.89 cnf('0.107.0.0',plain,
% 11.46/11.89 ( zero = meet(complement(join(X1,X2)),X2) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.105.2.0','0.89.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.107.1.0',plain,
% 11.46/11.89 ( zero = meet(complement(join(X1,X2)),X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.107.0.0']),
% 11.46/11.89 [weight('<55,105,89,[1,0,0,3]>')]).
% 11.46/11.89 cnf('0.107.1.1',plain,
% 11.46/11.89 ( zero = meet(X2,complement(join(X1,X2))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.107.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.107.2.0',plain,
% 11.46/11.89 ( meet(X1,complement(join(X2,X1))) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.107.1.1',theory(equality)]),
% 11.46/11.89 [x,rule_104]).
% 11.46/11.89 cnf('0.109.0.0',plain,
% 11.46/11.89 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.11.2.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.1','L')]).
% 11.46/11.89 cnf('0.109.1.0',plain,
% 11.46/11.89 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.109.0.0']),
% 11.46/11.89 [weight('<59,68,11,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.109.2.0',plain,
% 11.46/11.89 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_106]).
% 11.46/11.89 cnf('0.111.0.0',plain,
% 11.46/11.89 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.109.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.111.1.0',plain,
% 11.46/11.89 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.111.0.0']),
% 11.46/11.89 [weight('<59,109,4,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.111.2.0',plain,
% 11.46/11.89 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_107]).
% 11.46/11.89 cnf('0.112.0.0',plain,
% 11.46/11.89 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.68.2.0','0.109.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.112.1.0',plain,
% 11.46/11.89 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.112.0.0']),
% 11.46/11.89 [weight('<59,109,68,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.112.2.0',plain,
% 11.46/11.89 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_108]).
% 11.46/11.89 cnf('0.114.0.0',plain,
% 11.46/11.89 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.112.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.114.1.0',plain,
% 11.46/11.89 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.114.0.0']),
% 11.46/11.89 [weight('<59,112,18,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.114.2.0',plain,
% 11.46/11.89 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_110]).
% 11.46/11.89 cnf('0.115.0.0',plain,
% 11.46/11.89 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.112.2.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.1','L')]).
% 11.46/11.89 cnf('0.115.1.0',plain,
% 11.46/11.89 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.115.0.0']),
% 11.46/11.89 [weight('<59,112,68,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.115.2.0',plain,
% 11.46/11.89 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_111]).
% 11.46/11.89 cnf('0.120.0.0',plain,
% 11.46/11.89 ( join(X1,converse(meet(X2,converse(X1)))) = converse(converse(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.25.2.0','0.84.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.120.0.1',plain,
% 11.46/11.89 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.120.0.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.120.1.0',plain,
% 11.46/11.89 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.120.0.1']),
% 11.46/11.89 [weight('<71,84,25,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.120.2.0',plain,
% 11.46/11.89 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_116]).
% 11.46/11.89 cnf('0.122.0.0',plain,
% 11.46/11.89 ( X1 = meet(X1,composition(join(one,X2),X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.88.2.0','0.46.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.122.1.0',plain,
% 11.46/11.89 ( X1 = meet(X1,composition(join(one,X2),X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.122.0.0']),
% 11.46/11.89 [weight('<71,88,46,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.122.2.0',plain,
% 11.46/11.89 ( meet(X1,composition(join(one,X2),X1)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_118]).
% 11.46/11.89 cnf('0.123.0.0',plain,
% 11.46/11.89 ( X1 = meet(X1,composition(top,X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.122.2.0','0.6.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.1','L')]).
% 11.46/11.89 cnf('0.123.1.0',plain,
% 11.46/11.89 ( X1 = meet(X1,composition(top,X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.123.0.0']),
% 11.46/11.89 [weight('<41,122,6,[1,0,0,3]>')]).
% 11.46/11.89 cnf('0.123.2.0',plain,
% 11.46/11.89 ( meet(X1,composition(top,X1)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_119]).
% 11.46/11.89 cnf('0.124.0.0',plain,
% 11.46/11.89 ( top = join(composition(top,X1),complement(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.101.2.0','0.123.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.1','L')]).
% 11.46/11.89 cnf('0.124.1.0',plain,
% 11.46/11.89 ( top = join(composition(top,X1),complement(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.124.0.0']),
% 11.46/11.89 [weight('<55,123,101,[0,0,0,3]>')]).
% 11.46/11.89 cnf('0.124.1.1',plain,
% 11.46/11.89 ( top = join(complement(X1),composition(top,X1)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.124.1.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.124.2.0',plain,
% 11.46/11.89 ( join(complement(X1),composition(top,X1)) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.124.1.1',theory(equality)]),
% 11.46/11.89 [x,rule_120]).
% 11.46/11.89 cnf('0.126.0.0',plain,
% 11.46/11.89 ( top = join(X1,composition(top,complement(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.124.2.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.126.1.0',plain,
% 11.46/11.89 ( top = join(X1,composition(top,complement(X1))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.126.0.0']),
% 11.46/11.89 [weight('<55,124,68,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.126.2.0',plain,
% 11.46/11.89 ( join(X1,composition(top,complement(X1))) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.126.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_122]).
% 11.46/11.89 cnf('0.131.0.0',plain,
% 11.46/11.89 ( join(one,converse(complement(meet(X1,one)))) = converse(top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.32.2.0','0.101.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.131.0.1',plain,
% 11.46/11.89 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.131.0.0','0.53.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.131.1.0',plain,
% 11.46/11.89 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.131.0.1']),
% 11.46/11.89 [weight('<71,101,32,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.131.2.0',plain,
% 11.46/11.89 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_127]).
% 11.46/11.89 cnf('0.150.0.0',plain,
% 11.46/11.89 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.5.2.0','0.83.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.150.1.0',plain,
% 11.46/11.89 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.150.0.0']),
% 11.46/11.89 [weight('<87,83,5,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.150.2.0',plain,
% 11.46/11.89 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_146]).
% 11.46/11.89 cnf('0.152.0.0',plain,
% 11.46/11.89 ( join(X1,meet(X2,meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.150.2.0','0.84.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.152.0.1',plain,
% 11.46/11.89 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.152.0.0','0.83.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.152.1.0',plain,
% 11.46/11.89 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.152.0.1']),
% 11.46/11.89 [weight('<71,150,84,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.152.2.0',plain,
% 11.46/11.89 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_148]).
% 11.46/11.89 cnf('0.154.0.0',plain,
% 11.46/11.89 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.152.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.2','L')]).
% 11.46/11.89 cnf('0.154.1.0',plain,
% 11.46/11.89 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.154.0.0']),
% 11.46/11.89 [weight('<71,152,18,[1,0,0,4]>')]).
% 11.46/11.89 cnf('0.154.2.0',plain,
% 11.46/11.89 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_150]).
% 11.46/11.89 cnf('0.155.0.0',plain,
% 11.46/11.89 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.5.2.0','0.84.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.155.1.0',plain,
% 11.46/11.89 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.155.0.0']),
% 11.46/11.89 [weight('<87,84,5,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.155.2.0',plain,
% 11.46/11.89 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_151]).
% 11.46/11.89 cnf('0.164.0.0',plain,
% 11.46/11.89 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.150.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.164.1.0',plain,
% 11.46/11.89 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.164.0.0']),
% 11.46/11.89 [weight('<87,150,4,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.164.2.0',plain,
% 11.46/11.89 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_159]).
% 11.46/11.89 cnf('0.185.0.0',plain,
% 11.46/11.89 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 11.46/11.89 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 11.46/11.89 cnf('0.185.0.1',plain,
% 11.46/11.89 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.185.0.0','0.111.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.185.1.0',plain,
% 11.46/11.89 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.185.0.1']),
% 11.46/11.89 [weight('<89,59,111,[0,0,0,0]>')]).
% 11.46/11.89 cnf('0.185.2.0',plain,
% 11.46/11.89 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.185.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_180]).
% 11.46/11.89 cnf('0.186.0.0',plain,
% 11.46/11.89 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.155.2.0','0.185.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.186.1.0',plain,
% 11.46/11.89 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.186.0.0']),
% 11.46/11.89 [weight('<69,185,155,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.186.2.0',plain,
% 11.46/11.89 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_181]).
% 11.46/11.89 cnf('0.188.0.0',plain,
% 11.46/11.89 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.164.2.0','0.185.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.188.1.0',plain,
% 11.46/11.89 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.188.0.0']),
% 11.46/11.89 [weight('<76,185,164,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.188.2.0',plain,
% 11.46/11.89 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.188.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_183]).
% 11.46/11.89 cnf('0.190.0.0',plain,
% 11.46/11.89 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.111.2.0','0.186.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.190.0.1',plain,
% 11.46/11.89 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.190.0.0','0.112.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.190.0.2',plain,
% 11.46/11.89 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.190.0.1','0.115.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.190.0.3',plain,
% 11.46/11.89 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.190.0.2','0.111.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.190.1.0',plain,
% 11.46/11.89 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.190.0.3']),
% 11.46/11.89 [weight('<76,186,111,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.190.1.1',plain,
% 11.46/11.89 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.190.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.190.2.0',plain,
% 11.46/11.89 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.190.1.1',theory(equality)]),
% 11.46/11.89 [u,rule_185]).
% 11.46/11.89 cnf('0.191.0.0',plain,
% 11.46/11.89 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.190.2.0','0.114.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.191.0.1',plain,
% 11.46/11.89 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.191.0.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.191.1.0',plain,
% 11.46/11.89 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.191.0.1']),
% 11.46/11.89 [weight('<69,190,114,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.191.2.0',plain,
% 11.46/11.89 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.191.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_186]).
% 11.46/11.89 cnf('0.192.0.0',plain,
% 11.46/11.89 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.191.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.192.1.0',plain,
% 11.46/11.89 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.192.0.0']),
% 11.46/11.89 [weight('<69,191,4,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.192.2.0',plain,
% 11.46/11.89 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.192.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_187]).
% 11.46/11.89 cnf('0.193.0.0',plain,
% 11.46/11.89 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.192.2.0','0.86.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.193.0.1',plain,
% 11.46/11.89 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.193.0.0','0.74.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.193.1.0',plain,
% 11.46/11.89 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.193.0.1']),
% 11.46/11.89 [weight('<71,192,86,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.193.1.1',plain,
% 11.46/11.89 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.193.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.193.2.0',plain,
% 11.46/11.89 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.193.1.1',theory(equality)]),
% 11.46/11.89 [u,rule_188]).
% 11.46/11.89 cnf('0.194.0.0',plain,
% 11.46/11.89 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.112.2.0','0.193.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.194.0.1',plain,
% 11.46/11.89 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.194.0.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.1.1.1.1','L')]).
% 11.46/11.89 cnf('0.194.0.2',plain,
% 11.46/11.89 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.194.0.1','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.194.1.0',plain,
% 11.46/11.89 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.194.0.2']),
% 11.46/11.89 [weight('<71,193,112,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.194.2.0',plain,
% 11.46/11.89 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_189]).
% 11.46/11.89 cnf('0.195.0.0',plain,
% 11.46/11.89 ( one = join(one,complement(converse(complement(one)))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.194.2.0','0.30.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.1.1.1','L')]).
% 11.46/11.89 cnf('0.195.1.0',plain,
% 11.46/11.89 ( one = join(one,complement(converse(complement(one)))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.195.0.0']),
% 11.46/11.89 [weight('<55,194,30,[1,0,0,5]>')]).
% 11.46/11.89 cnf('0.195.2.0',plain,
% 11.46/11.89 ( join(one,complement(converse(complement(one)))) = one ),
% 11.46/11.89 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_190]).
% 11.46/11.89 cnf('0.196.0.0',plain,
% 11.46/11.89 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.109.2.0','0.195.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.196.1.0',plain,
% 11.46/11.89 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.196.0.0']),
% 11.46/11.89 [weight('<62,195,109,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.196.2.0',plain,
% 11.46/11.89 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.196.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_191]).
% 11.46/11.89 cnf('0.197.0.0',plain,
% 11.46/11.89 ( complement(one) = join(complement(one),converse(complement(one))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.120.2.0','0.196.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.1','L')]).
% 11.46/11.89 cnf('0.197.1.0',plain,
% 11.46/11.89 ( complement(one) = join(complement(one),converse(complement(one))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.197.0.0']),
% 11.46/11.89 [weight('<62,196,120,[0,0,0,3]>')]).
% 11.46/11.89 cnf('0.197.2.0',plain,
% 11.46/11.89 ( join(complement(one),converse(complement(one))) = complement(one) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_192]).
% 11.46/11.89 cnf('0.200.0.0',plain,
% 11.46/11.89 ( converse(complement(one)) = join(converse(complement(one)),complement(one)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.84.2.0','0.196.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.200.1.0',plain,
% 11.46/11.89 ( converse(complement(one)) = join(converse(complement(one)),complement(one)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.200.0.0']),
% 11.46/11.89 [weight('<69,196,84,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.200.1.1',plain,
% 11.46/11.89 ( converse(complement(one)) = join(complement(one),converse(complement(one))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.200.1.0','0.4.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.200.1.2',plain,
% 11.46/11.89 ( converse(complement(one)) = complement(one) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.200.1.1','0.197.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.200.2.0',plain,
% 11.46/11.89 ( converse(complement(one)) = complement(one) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.200.1.2',theory(equality)]),
% 11.46/11.89 [u,rule_195]).
% 11.46/11.89 cnf('0.202.0.0',plain,
% 11.46/11.89 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.10.2.0','0.200.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.202.1.0',plain,
% 11.46/11.89 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.202.0.0']),
% 11.46/11.89 [weight('<65,200,10,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.202.2.0',plain,
% 11.46/11.89 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.202.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_197]).
% 11.46/11.89 cnf('0.206.0.0',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.25.2.0','0.194.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.206.0.1',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.206.0.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.1.1.1.1','L')]).
% 11.46/11.89 cnf('0.206.0.2',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.206.0.1','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.206.1.0',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.206.0.2']),
% 11.46/11.89 [weight('<71,194,25,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.206.2.0',plain,
% 11.46/11.89 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.206.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_201]).
% 11.46/11.89 cnf('0.209.0.0',plain,
% 11.46/11.89 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.111.2.0','0.206.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.209.0.1',plain,
% 11.46/11.89 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.209.0.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.1.1.1.1','L')]).
% 11.46/11.89 cnf('0.209.0.2',plain,
% 11.46/11.89 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.209.0.1','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.209.1.0',plain,
% 11.46/11.89 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.209.0.2']),
% 11.46/11.89 [weight('<71,206,111,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.209.1.1',plain,
% 11.46/11.89 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.209.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.209.2.0',plain,
% 11.46/11.89 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.209.1.1',theory(equality)]),
% 11.46/11.89 [u,rule_204]).
% 11.46/11.89 cnf('0.214.0.0',plain,
% 11.46/11.89 ( meet(complement(meet(X1,X2)),X2) = complement(join(complement(X2),X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.111.2.0','0.188.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.214.0.1',plain,
% 11.46/11.89 ( meet(complement(meet(X1,X2)),X2) = meet(complement(X1),X2) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.214.0.0','0.111.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.214.1.0',plain,
% 11.46/11.89 ( meet(complement(meet(X1,X2)),X2) = meet(complement(X1),X2) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.214.0.1']),
% 11.46/11.89 [weight('<76,188,111,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.214.1.1',plain,
% 11.46/11.89 ( meet(X2,complement(meet(X1,X2))) = meet(complement(X1),X2) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.214.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.214.2.0',plain,
% 11.46/11.89 ( meet(X1,complement(meet(X2,X1))) = meet(complement(X2),X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.214.1.1',theory(equality)]),
% 11.46/11.89 [u,rule_209]).
% 11.46/11.89 cnf('0.216.0.0',plain,
% 11.46/11.89 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.191.2.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.2','L')]).
% 11.46/11.89 cnf('0.216.1.0',plain,
% 11.46/11.89 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.216.0.0']),
% 11.46/11.89 [weight('<76,191,68,[1,0,0,4]>')]).
% 11.46/11.89 cnf('0.216.2.0',plain,
% 11.46/11.89 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_211]).
% 11.46/11.89 cnf('0.217.0.0',plain,
% 11.46/11.89 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.216.2.0','0.86.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.217.0.1',plain,
% 11.46/11.89 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.217.0.0','0.209.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.217.0.2',plain,
% 11.46/11.89 ( X1 = complement(converse(complement(converse(X1)))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.217.0.1','0.74.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.217.1.0',plain,
% 11.46/11.89 ( X1 = complement(converse(complement(converse(X1)))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.217.0.2']),
% 11.46/11.89 [weight('<41,216,86,[1,0,0,3]>')]).
% 11.46/11.89 cnf('0.217.2.0',plain,
% 11.46/11.89 ( complement(converse(complement(converse(X1)))) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.217.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_212]).
% 11.46/11.89 cnf('0.218.0.0',plain,
% 11.46/11.89 ( converse(X1) = complement(converse(complement(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.217.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.1.1','L')]).
% 11.46/11.89 cnf('0.218.1.0',plain,
% 11.46/11.89 ( converse(X1) = complement(converse(complement(X1))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.218.0.0']),
% 11.46/11.89 [weight('<34,217,3,[1,0,0,3]>')]).
% 11.46/11.89 cnf('0.218.2.0',plain,
% 11.46/11.89 ( complement(converse(complement(X1))) = converse(X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.218.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_213]).
% 11.46/11.89 cnf('0.219.0.0',plain,
% 11.46/11.89 ( converse(complement(X1)) = complement(converse(X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.68.2.0','0.218.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.219.1.0',plain,
% 11.46/11.89 ( converse(complement(X1)) = complement(converse(X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.219.0.0']),
% 11.46/11.89 [weight('<27,218,68,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.219.2.0',plain,
% 11.46/11.89 ( complement(converse(X1)) = converse(complement(X1)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_214]).
% 11.46/11.89 cnf('0.221.0.0',plain,
% 11.46/11.89 ( converse(complement(composition(X1,top))) = complement(composition(top,converse(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.219.2.0','0.79.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.221.1.0',plain,
% 11.46/11.89 ( converse(complement(composition(X1,top))) = complement(composition(top,converse(X1))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.221.0.0']),
% 11.46/11.89 [weight('<65,219,79,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.221.2.0',plain,
% 11.46/11.89 ( complement(composition(top,converse(X1))) = converse(complement(composition(X1,top))) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.221.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_216]).
% 11.46/11.89 cnf('0.222.0.0',plain,
% 11.46/11.89 ( converse(complement(composition(top,X1))) = complement(composition(converse(X1),top)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.219.2.0','0.80.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.222.1.0',plain,
% 11.46/11.89 ( converse(complement(composition(top,X1))) = complement(composition(converse(X1),top)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.222.0.0']),
% 11.46/11.89 [weight('<65,219,80,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.222.2.0',plain,
% 11.46/11.89 ( complement(composition(converse(X1),top)) = converse(complement(composition(top,X1))) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.222.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_217]).
% 11.46/11.89 cnf('0.223.0.0',plain,
% 11.46/11.89 ( converse(complement(join(complement(one),X1))) = complement(join(complement(one),converse(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.219.2.0','0.202.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.223.0.1',plain,
% 11.46/11.89 ( converse(meet(complement(X1),one)) = complement(join(complement(one),converse(X1))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.223.0.0','0.111.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.223.0.2',plain,
% 11.46/11.89 ( converse(meet(complement(X1),one)) = meet(complement(converse(X1)),one) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.223.0.1','0.111.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.223.0.3',plain,
% 11.46/11.89 ( converse(meet(complement(X1),one)) = meet(converse(complement(X1)),one) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.223.0.2','0.219.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.1','L')]).
% 11.46/11.89 cnf('0.223.1.0',plain,
% 11.46/11.89 ( converse(meet(complement(X1),one)) = meet(converse(complement(X1)),one) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.223.0.3']),
% 11.46/11.89 [weight('<65,219,202,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.223.1.1',plain,
% 11.46/11.89 ( converse(meet(one,complement(X1))) = meet(converse(complement(X1)),one) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.223.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.223.1.2',plain,
% 11.46/11.89 ( converse(meet(one,complement(X1))) = meet(one,converse(complement(X1))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.223.1.1','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.223.2.0',plain,
% 11.46/11.89 ( converse(meet(one,complement(X1))) = meet(one,converse(complement(X1))) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.223.1.2',theory(equality)]),
% 11.46/11.89 [u,rule_218]).
% 11.46/11.89 cnf('0.224.0.0',plain,
% 11.46/11.89 ( meet(one,converse(complement(complement(X1)))) = converse(meet(one,X1)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.223.2.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.2','L')]).
% 11.46/11.89 cnf('0.224.0.1',plain,
% 11.46/11.89 ( meet(one,converse(X1)) = converse(meet(one,X1)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.224.0.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.1','L')]).
% 11.46/11.89 cnf('0.224.1.0',plain,
% 11.46/11.89 ( meet(one,converse(X1)) = converse(meet(one,X1)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.224.0.1']),
% 11.46/11.89 [weight('<44,223,68,[1,0,0,3]>')]).
% 11.46/11.89 cnf('0.224.2.0',plain,
% 11.46/11.89 ( converse(meet(one,X1)) = meet(one,converse(X1)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_219]).
% 11.46/11.89 cnf('0.225.0.0',plain,
% 11.46/11.89 ( meet(one,converse(X1)) = converse(meet(X1,one)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.224.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.225.1.0',plain,
% 11.46/11.89 ( meet(one,converse(X1)) = converse(meet(X1,one)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.225.0.0']),
% 11.46/11.89 [weight('<44,224,18,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.225.2.0',plain,
% 11.46/11.89 ( converse(meet(X1,one)) = meet(one,converse(X1)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_220]).
% 11.46/11.89 cnf('0.226.0.0',plain,
% 11.46/11.89 ( converse(complement(meet(one,X1))) = complement(meet(one,converse(X1))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.219.2.0','0.224.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.226.1.0',plain,
% 11.46/11.89 ( converse(complement(meet(one,X1))) = complement(meet(one,converse(X1))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.226.0.0']),
% 11.46/11.89 [weight('<65,224,219,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.226.2.0',plain,
% 11.46/11.89 ( complement(meet(one,converse(X1))) = converse(complement(meet(one,X1))) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.226.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_221]).
% 11.46/11.89 cnf('0.228.0.0',plain,
% 11.46/11.89 ( complement(top) = join(complement(top),composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.9.2.0','0.222.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.2','L')]).
% 11.46/11.89 cnf('0.228.0.1',plain,
% 11.46/11.89 ( zero = join(complement(top),composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.228.0.0','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.228.0.2',plain,
% 11.46/11.89 ( zero = join(zero,composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.228.0.1','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.1','L')]).
% 11.46/11.89 cnf('0.228.0.3',plain,
% 11.46/11.89 ( zero = composition(converse(converse(X1)),converse(complement(composition(top,X1)))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.228.0.2','0.63.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.228.0.4',plain,
% 11.46/11.89 ( zero = converse(composition(complement(composition(top,X1)),converse(X1))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.228.0.3','0.13.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.228.0.5',plain,
% 11.46/11.89 ( zero = composition(X1,converse(complement(composition(top,X1)))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.228.0.4','0.27.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.228.1.0',plain,
% 11.46/11.89 ( zero = composition(X1,converse(complement(composition(top,X1)))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.228.0.5']),
% 11.46/11.89 [weight('<71,222,9,[0,0,0,6]>')]).
% 11.46/11.89 cnf('0.228.2.0',plain,
% 11.46/11.89 ( composition(X1,converse(complement(composition(top,X1)))) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.228.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_223]).
% 11.46/11.89 cnf('0.234.0.0',plain,
% 11.46/11.89 ( composition(converse(converse(complement(composition(top,converse(X1))))),X1) = converse(zero) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.28.2.0','0.228.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.234.0.1',plain,
% 11.46/11.89 ( composition(complement(composition(top,converse(X1))),X1) = converse(zero) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.234.0.0','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.234.0.2',plain,
% 11.46/11.89 ( composition(converse(complement(composition(X1,top))),X1) = converse(zero) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.234.0.1','0.221.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.234.0.3',plain,
% 11.46/11.89 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.234.0.2','0.76.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.234.1.0',plain,
% 11.46/11.89 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.234.0.3']),
% 11.46/11.89 [weight('<71,228,28,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.234.2.0',plain,
% 11.46/11.89 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.234.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_229]).
% 11.46/11.89 cnf('0.237.0.0',plain,
% 11.46/11.89 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.219.2.0','0.25.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.237.1.0',plain,
% 11.46/11.89 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.237.0.0']),
% 11.46/11.89 [weight('<83,219,25,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.237.2.0',plain,
% 11.46/11.89 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.237.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_232]).
% 11.46/11.89 cnf('0.238.0.0',plain,
% 11.46/11.89 ( complement(join(X1,converse(composition(top,complement(converse(X1)))))) = converse(complement(top)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.237.2.0','0.126.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.1','L')]).
% 11.46/11.89 cnf('0.238.0.1',plain,
% 11.46/11.89 ( complement(join(X1,composition(converse(complement(converse(X1))),top))) = converse(complement(top)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.238.0.0','0.80.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.2','L')]).
% 11.46/11.89 cnf('0.238.0.2',plain,
% 11.46/11.89 ( complement(join(X1,composition(converse(converse(complement(X1))),top))) = converse(complement(top)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.238.0.1','0.219.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.2.1.1','L')]).
% 11.46/11.89 cnf('0.238.0.3',plain,
% 11.46/11.89 ( complement(join(X1,composition(complement(X1),top))) = converse(complement(top)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.238.0.2','0.3.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.2.1','L')]).
% 11.46/11.89 cnf('0.238.0.4',plain,
% 11.46/11.89 ( complement(join(X1,composition(complement(X1),top))) = converse(zero) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.238.0.3','0.15.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.1','L')]).
% 11.46/11.89 cnf('0.238.0.5',plain,
% 11.46/11.89 ( complement(join(X1,composition(complement(X1),top))) = zero ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.238.0.4','0.76.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.238.1.0',plain,
% 11.46/11.89 ( complement(join(X1,composition(complement(X1),top))) = zero ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.238.0.5']),
% 11.46/11.89 [weight('<71,237,126,[1,0,0,2]>')]).
% 11.46/11.89 cnf('0.238.2.0',plain,
% 11.46/11.89 ( complement(join(X1,composition(complement(X1),top))) = zero ),
% 11.46/11.89 inference(orient,[status(thm)],['0.238.1.0',theory(equality)]),
% 11.46/11.89 [u,rule_233]).
% 11.46/11.89 cnf('0.239.0.0',plain,
% 11.46/11.89 ( top = join(join(X1,composition(complement(X1),top)),zero) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.6.2.0','0.238.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.239.0.1',plain,
% 11.46/11.89 ( top = join(X1,join(composition(complement(X1),top),zero)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.239.0.0','0.5.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.239.0.2',plain,
% 11.46/11.89 ( top = join(X1,composition(complement(X1),top)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.239.0.1','0.66.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.2','L')]).
% 11.46/11.89 cnf('0.239.1.0',plain,
% 11.46/11.89 ( top = join(X1,composition(complement(X1),top)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.239.0.2']),
% 11.46/11.89 [weight('<55,238,6,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.239.2.0',plain,
% 11.46/11.89 ( join(X1,composition(complement(X1),top)) = top ),
% 11.46/11.89 inference(orient,[status(thm)],['0.239.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_234]).
% 11.46/11.89 cnf('0.240.0.0',plain,
% 11.46/11.89 ( meet(composition(complement(complement(X1)),top),X1) = meet(X1,top) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.192.2.0','0.239.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2','L')]).
% 11.46/11.89 cnf('0.240.0.1',plain,
% 11.46/11.89 ( meet(composition(X1,top),X1) = meet(X1,top) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.240.0.0','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.1','L')]).
% 11.46/11.89 cnf('0.240.0.2',plain,
% 11.46/11.89 ( meet(composition(X1,top),X1) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.240.0.1','0.74.2.0',theory(equality)]),
% 11.46/11.89 [pos('R','L')]).
% 11.46/11.89 cnf('0.240.1.0',plain,
% 11.46/11.89 ( meet(composition(X1,top),X1) = X1 ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.240.0.2']),
% 11.46/11.89 [weight('<41,239,192,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.240.1.1',plain,
% 11.46/11.89 ( meet(X1,composition(X1,top)) = X1 ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.240.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.240.2.0',plain,
% 11.46/11.89 ( meet(X1,composition(X1,top)) = X1 ),
% 11.46/11.89 inference(orient,[status(thm)],['0.240.1.1',theory(equality)]),
% 11.46/11.89 [u,rule_235]).
% 11.46/11.89 cnf('0.261.0.0',plain,
% 11.46/11.89 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.115.2.0','0.219.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.261.1.0',plain,
% 11.46/11.89 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.261.0.0']),
% 11.46/11.89 [weight('<83,219,115,[0,0,0,1]>')]).
% 11.46/11.89 cnf('0.261.2.0',plain,
% 11.46/11.89 ( join(converse(complement(X1)),complement(X2)) = complement(meet(converse(X1),X2)) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.261.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_256]).
% 11.46/11.89 cnf('0.262.0.0',plain,
% 11.46/11.89 ( complement(join(complement(X1),converse(complement(X2)))) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.237.2.0','0.261.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.1','L')]).
% 11.46/11.89 cnf('0.262.0.1',plain,
% 11.46/11.89 ( meet(complement(converse(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.262.0.0','0.111.2.0',theory(equality)]),
% 11.46/11.89 [pos('L','L')]).
% 11.46/11.89 cnf('0.262.0.2',plain,
% 11.46/11.89 ( meet(converse(complement(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.262.0.1','0.219.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.262.0.3',plain,
% 11.46/11.89 ( meet(converse(X2),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.262.0.2','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1.1','L')]).
% 11.46/11.89 cnf('0.262.0.4',plain,
% 11.46/11.89 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 11.46/11.89 inference(reduction,[status(thm)],['0.262.0.3','0.68.2.0',theory(equality)]),
% 11.46/11.89 [pos('R.1','L')]).
% 11.46/11.89 cnf('0.262.1.0',plain,
% 11.46/11.89 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.262.0.4']),
% 11.46/11.89 [weight('<59,261,237,[0,0,0,2]>')]).
% 11.46/11.89 cnf('0.262.2.0',plain,
% 11.46/11.89 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.262.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_257]).
% 11.46/11.89 cnf('0.265.0.0',plain,
% 11.46/11.89 ( meet(converse(X1),X2) = converse(meet(X1,converse(X2))) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.262.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.1','L')]).
% 11.46/11.89 cnf('0.265.1.0',plain,
% 11.46/11.89 ( meet(converse(X1),X2) = converse(meet(X1,converse(X2))) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.265.0.0']),
% 11.46/11.89 [weight('<59,262,18,[1,0,0,1]>')]).
% 11.46/11.89 cnf('0.265.2.0',plain,
% 11.46/11.89 ( converse(meet(X1,converse(X2))) = meet(converse(X1),X2) ),
% 11.46/11.89 inference(orient,[status(thm)],['0.265.1.0',theory(equality)]),
% 11.46/11.89 [x,rule_260]).
% 11.46/11.89 cnf('0.309.0.0',plain,
% 11.46/11.89 ( zero = meet(meet(X1,meet(X2,X3)),complement(X3)) ),
% 11.46/11.89 inference(cp,[status(thm)],['0.107.2.0','0.154.2.0',theory(equality)]),
% 11.46/11.89 [pos('L.2.1','L')]).
% 11.46/11.89 cnf('0.309.1.0',plain,
% 11.46/11.89 ( zero = meet(meet(X1,meet(X2,X3)),complement(X3)) ),
% 11.46/11.89 inference(weigh,[status(thm)],['0.309.0.0']),
% 11.46/11.89 [weight('<89,154,107,[0,0,0,3]>')]).
% 11.46/11.90 cnf('0.309.1.1',plain,
% 11.46/11.90 ( zero = meet(complement(X3),meet(X1,meet(X2,X3))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.309.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.309.2.0',plain,
% 11.46/11.90 ( meet(complement(X1),meet(X2,meet(X3,X1))) = zero ),
% 11.46/11.90 inference(orient,[status(thm)],['0.309.1.1',theory(equality)]),
% 11.46/11.90 [x,rule_304]).
% 11.46/11.90 cnf('0.314.0.0',plain,
% 11.46/11.90 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.1','L')]).
% 11.46/11.90 cnf('0.314.1.0',plain,
% 11.46/11.90 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.314.0.0']),
% 11.46/11.90 [weight('<?,9,2,[1,0,0,7]>')]).
% 11.46/11.90 cnf('0.314.2.0',plain,
% 11.46/11.90 ( join(complement(one),composition(converse(X1),complement(X1))) = complement(one) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.314.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_309]).
% 11.46/11.90 cnf('0.315.0.0',plain,
% 11.46/11.90 ( zero = meet(composition(converse(X1),complement(X1)),complement(complement(one))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.107.2.0','0.314.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.1','L')]).
% 11.46/11.90 cnf('0.315.0.1',plain,
% 11.46/11.90 ( zero = meet(composition(converse(X1),complement(X1)),one) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.315.0.0','0.68.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2','L')]).
% 11.46/11.90 cnf('0.315.1.0',plain,
% 11.46/11.90 ( zero = meet(composition(converse(X1),complement(X1)),one) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.315.0.1']),
% 11.46/11.90 [weight('<71,314,107,[0,0,0,3]>')]).
% 11.46/11.90 cnf('0.315.1.1',plain,
% 11.46/11.90 ( zero = meet(one,composition(converse(X1),complement(X1))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.315.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.315.2.0',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),complement(X1))) = zero ),
% 11.46/11.90 inference(orient,[status(thm)],['0.315.1.1',theory(equality)]),
% 11.46/11.90 [x,rule_310]).
% 11.46/11.90 cnf('0.316.0.0',plain,
% 11.46/11.90 ( zero = meet(one,composition(X1,complement(converse(X1)))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.315.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.1','L')]).
% 11.46/11.90 cnf('0.316.0.1',plain,
% 11.46/11.90 ( zero = meet(one,composition(X1,converse(complement(X1)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.316.0.0','0.219.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2.2','L')]).
% 11.46/11.90 cnf('0.316.1.0',plain,
% 11.46/11.90 ( zero = meet(one,composition(X1,converse(complement(X1)))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.316.0.1']),
% 11.46/11.90 [weight('<71,315,3,[1,0,0,3]>')]).
% 11.46/11.90 cnf('0.316.2.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,converse(complement(X1)))) = zero ),
% 11.46/11.90 inference(orient,[status(thm)],['0.316.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_311]).
% 11.46/11.90 cnf('0.409.0.0',plain,
% 11.46/11.90 ( one = join(zero,meet(complement(composition(X1,converse(complement(X1)))),one)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.185.2.0','0.316.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.409.0.1',plain,
% 11.46/11.90 ( one = meet(complement(composition(X1,converse(complement(X1)))),one) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.409.0.0','0.63.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.409.1.0',plain,
% 11.46/11.90 ( one = meet(complement(composition(X1,converse(complement(X1)))),one) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.409.0.1']),
% 11.46/11.90 [weight('<89,316,185,[0,0,0,1]>')]).
% 11.46/11.90 cnf('0.409.1.1',plain,
% 11.46/11.90 ( one = meet(one,complement(composition(X1,converse(complement(X1))))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.409.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.409.2.0',plain,
% 11.46/11.90 ( meet(one,complement(composition(X1,converse(complement(X1))))) = one ),
% 11.46/11.90 inference(orient,[status(thm)],['0.409.1.1',theory(equality)]),
% 11.46/11.90 [x,rule_404]).
% 11.46/11.90 cnf('0.445.0.0',plain,
% 11.46/11.90 ( join(X1,converse(composition(X2,converse(X1)))) = converse(composition(join(one,X2),converse(X1))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.25.2.0','0.46.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.445.0.1',plain,
% 11.46/11.90 ( join(X1,composition(X1,converse(X2))) = converse(composition(join(one,X2),converse(X1))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.445.0.0','0.27.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.445.0.2',plain,
% 11.46/11.90 ( join(X1,composition(X1,converse(X2))) = composition(X1,converse(join(one,X2))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.445.0.1','0.27.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.445.0.3',plain,
% 11.46/11.90 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.445.0.2','0.32.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2','L')]).
% 11.46/11.90 cnf('0.445.1.0',plain,
% 11.46/11.90 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.445.0.3']),
% 11.46/11.90 [weight('<90,46,25,[0,0,0,1]>')]).
% 11.46/11.90 cnf('0.445.2.0',plain,
% 11.46/11.90 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.445.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_440]).
% 11.46/11.90 cnf('0.446.0.0',plain,
% 11.46/11.90 ( composition(X1,join(one,converse(converse(X2)))) = join(X1,composition(X1,X2)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.445.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.446.0.1',plain,
% 11.46/11.90 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.446.0.0','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.446.1.0',plain,
% 11.46/11.90 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.446.0.1']),
% 11.46/11.90 [weight('<65,445,3,[1,0,0,4]>')]).
% 11.46/11.90 cnf('0.446.2.0',plain,
% 11.46/11.90 ( join(X1,composition(X1,X2)) = composition(X1,join(one,X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.446.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_441]).
% 11.46/11.90 cnf('0.484.0.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),X2) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.89.2.0','0.152.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.484.1.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),X2) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.484.0.0']),
% 11.46/11.90 [weight('<103,152,89,[0,0,0,2]>')]).
% 11.46/11.90 cnf('0.484.1.1',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,meet(X2,X3))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.484.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.484.2.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X2,meet(X1,X3)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.484.1.1',theory(equality)]),
% 11.46/11.90 [x,rule_479]).
% 11.46/11.90 cnf('0.503.0.0',plain,
% 11.46/11.90 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,join(meet(X1,X2),X3)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.150.2.0','0.186.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.503.0.1',plain,
% 11.46/11.90 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.503.0.0','0.150.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.503.1.0',plain,
% 11.46/11.90 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.503.0.1']),
% 11.46/11.90 [weight('<107,186,150,[0,0,0,2]>')]).
% 11.46/11.90 cnf('0.503.2.0',plain,
% 11.46/11.90 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.503.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_498]).
% 11.46/11.90 cnf('0.509.0.0',plain,
% 11.46/11.90 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X2,join(complement(X2),X1)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.192.2.0','0.164.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.509.0.1',plain,
% 11.46/11.90 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X1,X2) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.509.0.0','0.192.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.509.1.0',plain,
% 11.46/11.90 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X1,X2) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.509.0.1']),
% 11.46/11.90 [weight('<107,192,164,[1,0,0,2]>')]).
% 11.46/11.90 cnf('0.509.1.1',plain,
% 11.46/11.90 ( meet(X2,join(X1,meet(complement(X2),X3))) = meet(X1,X2) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.509.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.509.2.0',plain,
% 11.46/11.90 ( meet(X1,join(X2,meet(complement(X1),X3))) = meet(X2,X1) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.509.1.1',theory(equality)]),
% 11.46/11.90 [u,rule_504]).
% 11.46/11.90 cnf('0.512.0.0',plain,
% 11.46/11.90 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.503.2.0','0.114.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.1','L')]).
% 11.46/11.90 cnf('0.512.1.0',plain,
% 11.46/11.90 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.512.0.0']),
% 11.46/11.90 [weight('<107,503,114,[1,0,0,3]>')]).
% 11.46/11.90 cnf('0.512.2.0',plain,
% 11.46/11.90 ( join(X1,meet(join(X2,complement(X1)),X3)) = join(X1,X3) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.512.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_507]).
% 11.46/11.90 cnf('0.513.0.0',plain,
% 11.46/11.90 ( meet(meet(join(X1,complement(complement(X2))),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.192.2.0','0.512.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.513.0.1',plain,
% 11.46/11.90 ( meet(meet(join(X1,X2),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.513.0.0','0.68.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1.2','L')]).
% 11.46/11.90 cnf('0.513.0.2',plain,
% 11.46/11.90 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.513.0.1','0.192.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.513.1.0',plain,
% 11.46/11.90 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.513.0.2']),
% 11.46/11.90 [weight('<87,512,192,[0,0,0,2]>')]).
% 11.46/11.90 cnf('0.513.1.1',plain,
% 11.46/11.90 ( meet(X2,meet(join(X1,X2),X3)) = meet(X3,X2) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.513.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.513.2.0',plain,
% 11.46/11.90 ( meet(X1,meet(join(X2,X1),X3)) = meet(X3,X1) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.513.1.1',theory(equality)]),
% 11.46/11.90 [u,rule_508]).
% 11.46/11.90 cnf('0.515.0.0',plain,
% 11.46/11.90 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.513.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.515.1.0',plain,
% 11.46/11.90 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.515.0.0']),
% 11.46/11.90 [weight('<87,513,18,[1,0,0,2]>')]).
% 11.46/11.90 cnf('0.515.2.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,join(X3,X1))) = meet(X2,X1) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.515.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_510]).
% 11.46/11.90 cnf('0.517.0.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X2,X1)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.513.2.0','0.83.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.1','L')]).
% 11.46/11.90 cnf('0.517.1.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X2,X1)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.517.0.0']),
% 11.46/11.90 [weight('<103,513,83,[1,0,0,3]>')]).
% 11.46/11.90 cnf('0.517.2.0',plain,
% 11.46/11.90 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.517.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_512]).
% 11.46/11.90 cnf('0.519.0.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X1)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.513.2.0','0.84.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.1','L')]).
% 11.46/11.90 cnf('0.519.1.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X1)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.519.0.0']),
% 11.46/11.90 [weight('<103,513,84,[1,0,0,3]>')]).
% 11.46/11.90 cnf('0.519.2.0',plain,
% 11.46/11.90 ( meet(meet(X1,X2),meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.519.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_514]).
% 11.46/11.90 cnf('0.524.0.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X2)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.515.2.0','0.83.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.524.1.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X2)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.524.0.0']),
% 11.46/11.90 [weight('<103,515,83,[1,0,0,4]>')]).
% 11.46/11.90 cnf('0.524.2.0',plain,
% 11.46/11.90 ( meet(meet(X1,X2),meet(X3,X1)) = meet(X3,meet(X1,X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.524.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_519]).
% 11.46/11.90 cnf('0.527.0.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X3,X1),meet(X2,X3)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.519.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.527.1.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X3,X1),meet(X2,X3)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.527.0.0']),
% 11.46/11.90 [weight('<103,519,18,[1,0,0,0]>')]).
% 11.46/11.90 cnf('0.527.1.1',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.527.1.0','0.524.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.527.2.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)) ),
% 11.46/11.90 inference(activate,[status(thm)],['0.527.1.1']),
% 11.46/11.90 [equation_6]).
% 11.46/11.90 cnf('0.528.0.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.527.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.528.1.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.528.0.0']),
% 11.46/11.90 [weight('<65,527,18,[1,0,0,0]>')]).
% 11.46/11.90 cnf('0.528.2.0',plain,
% 11.46/11.90 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.528.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_522]).
% 11.46/11.90 cnf('0.531.0.0',plain,
% 11.46/11.90 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.46/11.90 inference(interreduction_right,[status(thm)],['0.517.2.0'])).
% 11.46/11.90 cnf('0.531.1.0',plain,
% 11.46/11.90 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.531.0.0']),
% 11.46/11.90 [weight('<103,517,527,[0,0,0,0]>')]).
% 11.46/11.90 cnf('0.531.1.1',plain,
% 11.46/11.90 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X3,meet(X1,X2)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.531.1.0','0.528.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.531.1.2',plain,
% 11.46/11.90 ( meet(X2,meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.531.1.1','0.484.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.531.2.0',plain,
% 11.46/11.90 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 11.46/11.90 inference(activate,[status(thm)],['0.531.1.2']),
% 11.46/11.90 [equation_7]).
% 11.46/11.90 cnf('0.647.0.0',plain,
% 11.46/11.90 ( zero = meet(complement(complement(composition(X1,converse(complement(X1))))),meet(X2,one)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.309.2.0','0.409.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.647.0.1',plain,
% 11.46/11.90 ( zero = meet(composition(X1,converse(complement(X1))),meet(X2,one)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.647.0.0','0.68.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.1','L')]).
% 11.46/11.90 cnf('0.647.1.0',plain,
% 11.46/11.90 ( zero = meet(composition(X1,converse(complement(X1))),meet(X2,one)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.647.0.1']),
% 11.46/11.90 [weight('<109,409,309,[0,0,0,5]>')]).
% 11.46/11.90 cnf('0.647.1.1',plain,
% 11.46/11.90 ( zero = meet(one,meet(X2,composition(X1,converse(complement(X1))))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.647.1.0','0.531.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.647.2.0',plain,
% 11.46/11.90 ( meet(one,meet(X1,composition(X2,converse(complement(X2))))) = zero ),
% 11.46/11.90 inference(orient,[status(thm)],['0.647.1.1',theory(equality)]),
% 11.46/11.90 [x,rule_639]).
% 11.46/11.90 cnf('0.722.0.0',plain,
% 11.46/11.90 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.7.2.0','0.13.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.722.1.0',plain,
% 11.46/11.90 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.722.0.0']),
% 11.46/11.90 [weight('<?,13,7,[0,0,0,4]>')]).
% 11.46/11.90 cnf('0.722.2.0',plain,
% 11.46/11.90 ( join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.722.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_714]).
% 11.46/11.90 cnf('0.742.0.0',plain,
% 11.46/11.90 ( converse(join(composition(X1,top),X2)) = join(composition(top,converse(X1)),converse(X2)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.10.2.0','0.79.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.742.1.0',plain,
% 11.46/11.90 ( converse(join(composition(X1,top),X2)) = join(composition(top,converse(X1)),converse(X2)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.742.0.0']),
% 11.46/11.90 [weight('<111,79,10,[0,0,0,1]>')]).
% 11.46/11.90 cnf('0.742.2.0',plain,
% 11.46/11.90 ( join(composition(top,converse(X1)),converse(X2)) = converse(join(composition(X1,top),X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.742.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_734]).
% 11.46/11.90 cnf('0.877.0.0',plain,
% 11.46/11.90 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.13.2.0','0.25.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.877.1.0',plain,
% 11.46/11.90 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.877.0.0']),
% 11.46/11.90 [weight('<119,25,13,[0,0,0,3]>')]).
% 11.46/11.90 cnf('0.877.2.0',plain,
% 11.46/11.90 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.877.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_867]).
% 11.46/11.90 cnf('0.883.0.0',plain,
% 11.46/11.90 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.10.2.0','0.28.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.883.1.0',plain,
% 11.46/11.90 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.883.0.0']),
% 11.46/11.90 [weight('<119,28,10,[0,0,0,1]>')]).
% 11.46/11.90 cnf('0.883.2.0',plain,
% 11.46/11.90 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.883.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_873]).
% 11.46/11.90 cnf('0.884.0.0',plain,
% 11.46/11.90 ( join(composition(converse(converse(X1)),X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.883.2.0','0.722.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.884.0.1',plain,
% 11.46/11.90 ( join(composition(X1,X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.884.0.0','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1','L')]).
% 11.46/11.90 cnf('0.884.0.2',plain,
% 11.46/11.90 ( join(composition(X1,X2),composition(X1,X3)) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.884.0.1','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.884.0.3',plain,
% 11.46/11.90 ( join(composition(X1,X2),composition(X1,X3)) = composition(converse(converse(X1)),join(X2,converse(converse(X3)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.884.0.2','0.877.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.884.0.4',plain,
% 11.46/11.90 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,converse(converse(X3)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.884.0.3','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.1','L')]).
% 11.46/11.90 cnf('0.884.0.5',plain,
% 11.46/11.90 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.884.0.4','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2.2','L')]).
% 11.46/11.90 cnf('0.884.1.0',plain,
% 11.46/11.90 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.884.0.5']),
% 11.46/11.90 [weight('<103,883,722,[1,0,0,1]>')]).
% 11.46/11.90 cnf('0.884.2.0',plain,
% 11.46/11.90 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.884.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_874]).
% 11.46/11.90 cnf('0.919.0.0',plain,
% 11.46/11.90 ( converse(complement(meet(one,composition(X1,top)))) = complement(meet(one,composition(top,converse(X1)))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.226.2.0','0.79.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.2','L')]).
% 11.46/11.90 cnf('0.919.1.0',plain,
% 11.46/11.90 ( converse(complement(meet(one,composition(X1,top)))) = complement(meet(one,composition(top,converse(X1)))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.919.0.0']),
% 11.46/11.90 [weight('<119,226,79,[1,0,0,3]>')]).
% 11.46/11.90 cnf('0.919.2.0',plain,
% 11.46/11.90 ( complement(meet(one,composition(top,converse(X1)))) = converse(complement(meet(one,composition(X1,top)))) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.919.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_909]).
% 11.46/11.90 cnf('0.943.0.0',plain,
% 11.46/11.90 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.13.2.0','0.265.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.943.1.0',plain,
% 11.46/11.90 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.943.0.0']),
% 11.46/11.90 [weight('<119,265,13,[0,0,0,1]>')]).
% 11.46/11.90 cnf('0.943.2.0',plain,
% 11.46/11.90 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.943.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_933]).
% 11.46/11.90 cnf('0.944.0.0',plain,
% 11.46/11.90 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.13.2.0','0.265.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.944.1.0',plain,
% 11.46/11.90 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.944.0.0']),
% 11.46/11.90 [weight('<119,265,13,[0,0,0,3]>')]).
% 11.46/11.90 cnf('0.944.2.0',plain,
% 11.46/11.90 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.944.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_934]).
% 11.46/11.90 cnf('0.1007.0.0',plain,
% 11.46/11.90 ( meet(complement(one),composition(X1,converse(complement(X1)))) = meet(composition(X1,converse(complement(X1))),complement(zero)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.214.2.0','0.316.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.1','L')]).
% 11.46/11.90 cnf('0.1007.0.1',plain,
% 11.46/11.90 ( meet(complement(one),composition(X1,converse(complement(X1)))) = meet(composition(X1,converse(complement(X1))),top) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1007.0.0','0.64.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2','L')]).
% 11.46/11.90 cnf('0.1007.0.2',plain,
% 11.46/11.90 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1007.0.1','0.74.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1007.1.0',plain,
% 11.46/11.90 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1007.0.2']),
% 11.46/11.90 [weight('<125,316,214,[0,0,0,3]>')]).
% 11.46/11.90 cnf('0.1007.2.0',plain,
% 11.46/11.90 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1007.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_995]).
% 11.46/11.90 cnf('0.1070.0.0',plain,
% 11.46/11.90 ( composition(X1,X2) = meet(composition(X1,X2),composition(join(X1,X3),X2)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.88.2.0','0.7.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.1070.1.0',plain,
% 11.46/11.90 ( composition(X1,X2) = meet(composition(X1,X2),composition(join(X1,X3),X2)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1070.0.0']),
% 11.46/11.90 [weight('<129,88,7,[1,0,0,2]>')]).
% 11.46/11.90 cnf('0.1070.2.0',plain,
% 11.46/11.90 ( meet(composition(X1,X2),composition(join(X1,X3),X2)) = composition(X1,X2) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1070.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1058]).
% 11.46/11.90 cnf('0.1072.0.0',plain,
% 11.46/11.90 ( zero = meet(one,composition(X1,converse(complement(join(X1,X2))))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.647.2.0','0.1070.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.1072.1.0',plain,
% 11.46/11.90 ( zero = meet(one,composition(X1,converse(complement(join(X1,X2))))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1072.0.0']),
% 11.46/11.90 [weight('<109,1070,647,[0,0,0,2]>')]).
% 11.46/11.90 cnf('0.1072.2.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,converse(complement(join(X1,X2))))) = zero ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1072.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1060]).
% 11.46/11.90 cnf('0.1081.0.0',plain,
% 11.46/11.90 ( zero = meet(one,composition(X1,converse(complement(join(X2,X1))))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1072.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.1.1','L')]).
% 11.46/11.90 cnf('0.1081.1.0',plain,
% 11.46/11.90 ( zero = meet(one,composition(X1,converse(complement(join(X2,X1))))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1081.0.0']),
% 11.46/11.90 [weight('<109,1072,4,[1,0,0,6]>')]).
% 11.46/11.90 cnf('0.1081.2.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,converse(complement(join(X2,X1))))) = zero ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1081.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1069]).
% 11.46/11.90 cnf('0.1113.0.0',plain,
% 11.46/11.90 ( zero = meet(one,composition(composition(complement(sk1),sk2),converse(complement(complement(sk3))))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1081.2.0','0.8.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.1.1','L')]).
% 11.46/11.90 cnf('0.1113.0.1',plain,
% 11.46/11.90 ( zero = meet(one,composition(complement(sk1),composition(sk2,converse(complement(complement(sk3)))))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1113.0.0','0.12.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2','L')]).
% 11.46/11.90 cnf('0.1113.0.2',plain,
% 11.46/11.90 ( zero = meet(one,composition(complement(sk1),composition(sk2,converse(sk3)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1113.0.1','0.68.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2.2.2.1','L')]).
% 11.46/11.90 cnf('0.1113.1.0',plain,
% 11.46/11.90 ( zero = meet(one,composition(complement(sk1),composition(sk2,converse(sk3)))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1113.0.2']),
% 11.46/11.90 [weight('<109,1081,8,[1,0,0,6]>')]).
% 11.46/11.90 cnf('0.1113.2.0',plain,
% 11.46/11.90 ( meet(one,composition(complement(sk1),composition(sk2,converse(sk3)))) = zero ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1113.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1101]).
% 11.46/11.90 cnf('0.1190.0.0',plain,
% 11.46/11.90 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = join(zero,composition(X2,X1)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.7.2.0','0.234.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.1190.0.1',plain,
% 11.46/11.90 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1190.0.0','0.63.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1190.1.0',plain,
% 11.46/11.90 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1190.0.1']),
% 11.46/11.90 [weight('<129,234,7,[0,0,0,1]>')]).
% 11.46/11.90 cnf('0.1190.2.0',plain,
% 11.46/11.90 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1190.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_1178]).
% 11.46/11.90 cnf('0.1195.0.0',plain,
% 11.46/11.90 ( composition(join(complement(converse(complement(composition(X1,top)))),X2),X1) = composition(top,X1) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1190.2.0','0.87.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.1195.0.1',plain,
% 11.46/11.90 ( composition(join(converse(complement(complement(composition(X1,top)))),X2),X1) = composition(top,X1) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1195.0.0','0.219.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1','L')]).
% 11.46/11.90 cnf('0.1195.0.2',plain,
% 11.46/11.90 ( composition(join(converse(composition(X1,top)),X2),X1) = composition(top,X1) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1195.0.1','0.68.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1.1','L')]).
% 11.46/11.90 cnf('0.1195.0.3',plain,
% 11.46/11.90 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1195.0.2','0.79.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1','L')]).
% 11.46/11.90 cnf('0.1195.1.0',plain,
% 11.46/11.90 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1195.0.3']),
% 11.46/11.90 [weight('<107,1190,87,[1,0,0,1]>')]).
% 11.46/11.90 cnf('0.1195.2.0',plain,
% 11.46/11.90 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1195.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_1183]).
% 11.46/11.90 cnf('0.1197.0.0',plain,
% 11.46/11.90 ( composition(meet(complement(converse(complement(composition(X1,top)))),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1190.2.0','0.186.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.1197.0.1',plain,
% 11.46/11.90 ( composition(meet(converse(complement(complement(composition(X1,top)))),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1197.0.0','0.219.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1','L')]).
% 11.46/11.90 cnf('0.1197.0.2',plain,
% 11.46/11.90 ( composition(meet(converse(composition(X1,top)),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1197.0.1','0.68.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1.1','L')]).
% 11.46/11.90 cnf('0.1197.0.3',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1197.0.2','0.79.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1','L')]).
% 11.46/11.90 cnf('0.1197.0.4',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1197.0.3','0.1190.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1197.1.0',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1197.0.4']),
% 11.46/11.90 [weight('<107,1190,186,[1,0,0,1]>')]).
% 11.46/11.90 cnf('0.1197.2.0',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1197.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_1185]).
% 11.46/11.90 cnf('0.1203.0.0',plain,
% 11.46/11.90 ( composition(top,X1) = composition(converse(join(composition(X1,top),X2)),X1) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1195.2.0','0.742.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.1203.1.0',plain,
% 11.46/11.90 ( composition(top,X1) = composition(converse(join(composition(X1,top),X2)),X1) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1203.0.0']),
% 11.46/11.90 [weight('<107,1195,742,[1,0,0,1]>')]).
% 11.46/11.90 cnf('0.1203.2.0',plain,
% 11.46/11.90 ( composition(converse(join(composition(X1,top),X2)),X1) = composition(top,X1) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1203.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1191]).
% 11.46/11.90 cnf('0.1211.0.0',plain,
% 11.46/11.90 ( composition(top,X1) = composition(converse(composition(join(X1,X2),top)),X1) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1203.2.0','0.7.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1','L')]).
% 11.46/11.90 cnf('0.1211.0.1',plain,
% 11.46/11.90 ( composition(top,X1) = composition(composition(top,converse(join(X1,X2))),X1) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1211.0.0','0.79.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.1','L')]).
% 11.46/11.90 cnf('0.1211.0.2',plain,
% 11.46/11.90 ( composition(top,X1) = composition(top,composition(converse(join(X1,X2)),X1)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1211.0.1','0.12.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1211.1.0',plain,
% 11.46/11.90 ( composition(top,X1) = composition(top,composition(converse(join(X1,X2)),X1)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1211.0.2']),
% 11.46/11.90 [weight('<107,1203,7,[1,0,0,2]>')]).
% 11.46/11.90 cnf('0.1211.2.0',plain,
% 11.46/11.90 ( composition(top,composition(converse(join(X1,X2)),X1)) = composition(top,X1) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1211.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1199]).
% 11.46/11.90 cnf('0.1258.0.0',plain,
% 11.46/11.90 ( composition(converse(X1),meet(converse(composition(top,converse(X1))),X2)) = converse(composition(converse(X2),X1)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.944.2.0','0.1197.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.1258.0.1',plain,
% 11.46/11.90 ( composition(converse(X1),meet(composition(converse(converse(X1)),top),X2)) = converse(composition(converse(X2),X1)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1258.0.0','0.80.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.1','L')]).
% 11.46/11.90 cnf('0.1258.0.2',plain,
% 11.46/11.90 ( composition(converse(X1),meet(composition(X1,top),X2)) = converse(composition(converse(X2),X1)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1258.0.1','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.1.1','L')]).
% 11.46/11.90 cnf('0.1258.0.3',plain,
% 11.46/11.90 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1258.0.2','0.28.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1258.1.0',plain,
% 11.46/11.90 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1258.0.3']),
% 11.46/11.90 [weight('<116,1197,944,[0,0,0,1]>')]).
% 11.46/11.90 cnf('0.1258.2.0',plain,
% 11.46/11.90 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1258.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_1245]).
% 11.46/11.90 cnf('0.1277.0.0',plain,
% 11.46/11.90 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(X1),meet(X1,X2))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1211.2.0','0.185.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.1.1','L')]).
% 11.46/11.90 cnf('0.1277.1.0',plain,
% 11.46/11.90 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(X1),meet(X1,X2))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1277.0.0']),
% 11.46/11.90 [weight('<125,1211,185,[1,0,0,4]>')]).
% 11.46/11.90 cnf('0.1277.2.0',plain,
% 11.46/11.90 ( composition(top,composition(converse(X1),meet(X1,X2))) = composition(top,meet(X1,X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1277.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1264]).
% 11.46/11.90 cnf('0.1278.0.0',plain,
% 11.46/11.90 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(composition(top,converse(X1)),meet(composition(X1,top),X2))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1277.2.0','0.79.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.1','L')]).
% 11.46/11.90 cnf('0.1278.0.1',plain,
% 11.46/11.90 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(top,composition(converse(X1),meet(composition(X1,top),X2)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1278.0.0','0.12.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2','L')]).
% 11.46/11.90 cnf('0.1278.0.2',plain,
% 11.46/11.90 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),meet(composition(X1,top),X2))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1278.0.1','0.81.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1278.0.3',plain,
% 11.46/11.90 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1278.0.2','0.1258.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2','L')]).
% 11.46/11.90 cnf('0.1278.1.0',plain,
% 11.46/11.90 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1278.0.3']),
% 11.46/11.90 [weight('<111,1277,79,[1,0,0,3]>')]).
% 11.46/11.90 cnf('0.1278.2.0',plain,
% 11.46/11.90 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1278.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_1265]).
% 11.46/11.90 cnf('0.1279.0.0',plain,
% 11.46/11.90 ( composition(top,composition(converse(X1),X2)) = composition(top,meet(X2,composition(X1,top))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1278.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.1279.1.0',plain,
% 11.46/11.90 ( composition(top,composition(converse(X1),X2)) = composition(top,meet(X2,composition(X1,top))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1279.0.0']),
% 11.46/11.90 [weight('<111,1278,18,[1,0,0,2]>')]).
% 11.46/11.90 cnf('0.1279.2.0',plain,
% 11.46/11.90 ( composition(top,meet(X1,composition(X2,top))) = composition(top,composition(converse(X2),X1)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1279.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1266]).
% 11.46/11.90 cnf('0.1282.0.0',plain,
% 11.46/11.90 ( composition(meet(converse(composition(X1,top)),X2),converse(top)) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.943.2.0','0.1278.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.1282.0.1',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),converse(top)) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1282.0.0','0.79.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1','L')]).
% 11.46/11.90 cnf('0.1282.0.2',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),top) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1282.0.1','0.53.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.1282.0.3',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(converse(composition(converse(X1),converse(X2))),top) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1282.0.2','0.80.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1282.0.4',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(composition(converse(converse(X2)),X1),top) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1282.0.3','0.28.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.1','L')]).
% 11.46/11.90 cnf('0.1282.0.5',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(converse(converse(X2)),composition(X1,top)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1282.0.4','0.12.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1282.0.6',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1282.0.5','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.1','L')]).
% 11.46/11.90 cnf('0.1282.1.0',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1282.0.6']),
% 11.46/11.90 [weight('<125,1278,943,[0,0,0,1]>')]).
% 11.46/11.90 cnf('0.1282.2.0',plain,
% 11.46/11.90 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1282.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_1269]).
% 11.46/11.90 cnf('0.1284.0.0',plain,
% 11.46/11.90 ( composition(X1,composition(converse(X2),top)) = composition(meet(composition(top,X2),X1),top) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1282.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1.2','L')]).
% 11.46/11.90 cnf('0.1284.1.0',plain,
% 11.46/11.90 ( composition(X1,composition(converse(X2),top)) = composition(meet(composition(top,X2),X1),top) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1284.0.0']),
% 11.46/11.90 [weight('<111,1282,3,[1,0,0,4]>')]).
% 11.46/11.90 cnf('0.1284.2.0',plain,
% 11.46/11.90 ( composition(meet(composition(top,X1),X2),top) = composition(X2,composition(converse(X1),top)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1284.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1271]).
% 11.46/11.90 cnf('0.1285.0.0',plain,
% 11.46/11.90 ( composition(X1,composition(converse(X2),top)) = composition(meet(X1,composition(top,X2)),top) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1284.2.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.1285.1.0',plain,
% 11.46/11.90 ( composition(X1,composition(converse(X2),top)) = composition(meet(X1,composition(top,X2)),top) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1285.0.0']),
% 11.46/11.90 [weight('<111,1284,18,[1,0,0,1]>')]).
% 11.46/11.90 cnf('0.1285.2.0',plain,
% 11.46/11.90 ( composition(meet(X1,composition(top,X2)),top) = composition(X1,composition(converse(X2),top)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1285.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1272]).
% 11.46/11.90 cnf('0.1418.0.0',plain,
% 11.46/11.90 ( meet(X1,one) = meet(one,join(X1,composition(X2,converse(complement(X2))))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.509.2.0','0.1007.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.1418.1.0',plain,
% 11.46/11.90 ( meet(X1,one) = meet(one,join(X1,composition(X2,converse(complement(X2))))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1418.0.0']),
% 11.46/11.90 [weight('<129,1007,509,[0,0,0,4]>')]).
% 11.46/11.90 cnf('0.1418.2.0',plain,
% 11.46/11.90 ( meet(one,join(X1,composition(X2,converse(complement(X2))))) = meet(X1,one) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1418.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1405]).
% 11.46/11.90 cnf('0.1615.0.0',plain,
% 11.46/11.90 ( meet(X1,one) = meet(one,composition(X1,join(one,converse(complement(X1))))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1418.2.0','0.446.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.1615.1.0',plain,
% 11.46/11.90 ( meet(X1,one) = meet(one,composition(X1,join(one,converse(complement(X1))))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1615.0.0']),
% 11.46/11.90 [weight('<129,1418,446,[1,0,0,2]>')]).
% 11.46/11.90 cnf('0.1615.2.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,join(one,converse(complement(X1))))) = meet(X1,one) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1615.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1602]).
% 11.46/11.90 cnf('0.1616.0.0',plain,
% 11.46/11.90 ( 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)))))))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1615.2.0','0.919.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.2.1','L')]).
% 11.46/11.90 cnf('0.1616.0.1',plain,
% 11.46/11.90 ( 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)))))))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1616.0.0','0.528.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.1616.0.2',plain,
% 11.46/11.90 ( 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)))))))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1616.0.1','0.91.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.1616.0.3',plain,
% 11.46/11.90 ( meet(composition(top,converse(X1)),one) = meet(one,composition(meet(one,composition(top,converse(X1))),join(one,complement(meet(one,composition(X1,top)))))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1616.0.2','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2.2.2','L')]).
% 11.46/11.90 cnf('0.1616.0.4',plain,
% 11.46/11.90 ( meet(composition(top,converse(X1)),one) = meet(one,composition(meet(one,composition(top,converse(X1))),top)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1616.0.3','0.100.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2.2','L')]).
% 11.46/11.90 cnf('0.1616.0.5',plain,
% 11.46/11.90 ( meet(composition(top,converse(X1)),one) = meet(one,composition(one,composition(converse(converse(X1)),top))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1616.0.4','0.1285.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2','L')]).
% 11.46/11.90 cnf('0.1616.0.6',plain,
% 11.46/11.90 ( meet(composition(top,converse(X1)),one) = meet(one,composition(converse(converse(X1)),top)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1616.0.5','0.31.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2','L')]).
% 11.46/11.90 cnf('0.1616.0.7',plain,
% 11.46/11.90 ( meet(composition(top,converse(X1)),one) = meet(one,composition(X1,top)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1616.0.6','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2.1','L')]).
% 11.46/11.90 cnf('0.1616.1.0',plain,
% 11.46/11.90 ( meet(composition(top,converse(X1)),one) = meet(one,composition(X1,top)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1616.0.7']),
% 11.46/11.90 [weight('<83,1615,919,[1,0,0,7]>')]).
% 11.46/11.90 cnf('0.1616.1.1',plain,
% 11.46/11.90 ( meet(one,composition(top,converse(X1))) = meet(one,composition(X1,top)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1616.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.1616.2.0',plain,
% 11.46/11.90 ( meet(one,composition(top,converse(X1))) = meet(one,composition(X1,top)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1616.1.1',theory(equality)]),
% 11.46/11.90 [u,rule_1603]).
% 11.46/11.90 cnf('0.1617.0.0',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1616.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.1617.1.0',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1617.0.0']),
% 11.46/11.90 [weight('<83,1616,3,[1,0,0,4]>')]).
% 11.46/11.90 cnf('0.1617.2.0',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1617.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_1604]).
% 11.46/11.90 cnf('0.1619.0.0',plain,
% 11.46/11.90 ( meet(meet(X1,one),one) = meet(one,composition(meet(X1,one),top)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1615.2.0','0.131.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.1619.0.1',plain,
% 11.46/11.90 ( meet(X1,meet(one,one)) = meet(one,composition(meet(X1,one),top)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1619.0.0','0.528.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.1619.0.2',plain,
% 11.46/11.90 ( meet(X1,one) = meet(one,composition(meet(X1,one),top)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1619.0.1','0.67.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.1619.1.0',plain,
% 11.46/11.90 ( meet(X1,one) = meet(one,composition(meet(X1,one),top)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1619.0.2']),
% 11.46/11.90 [weight('<87,1615,131,[1,0,0,4]>')]).
% 11.46/11.90 cnf('0.1619.2.0',plain,
% 11.46/11.90 ( meet(one,composition(meet(X1,one),top)) = meet(X1,one) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1619.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1606]).
% 11.46/11.90 cnf('0.1620.0.0',plain,
% 11.46/11.90 ( meet(one,converse(composition(meet(X1,one),top))) = converse(meet(X1,one)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.224.2.0','0.1619.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.1620.0.1',plain,
% 11.46/11.90 ( meet(one,composition(top,converse(meet(X1,one)))) = converse(meet(X1,one)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1620.0.0','0.79.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.1620.0.2',plain,
% 11.46/11.90 ( meet(one,composition(meet(X1,one),top)) = converse(meet(X1,one)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1620.0.1','0.1616.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.1620.0.3',plain,
% 11.46/11.90 ( meet(X1,one) = converse(meet(X1,one)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1620.0.2','0.1619.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.1620.0.4',plain,
% 11.46/11.90 ( meet(X1,one) = meet(one,converse(X1)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1620.0.3','0.225.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1620.1.0',plain,
% 11.46/11.90 ( meet(X1,one) = meet(one,converse(X1)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1620.0.4']),
% 11.46/11.90 [weight('<39,1619,224,[0,0,0,1]>')]).
% 11.46/11.90 cnf('0.1620.2.0',plain,
% 11.46/11.90 ( meet(one,converse(X1)) = meet(X1,one) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1620.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1607]).
% 11.46/11.90 cnf('0.1621.0.0',plain,
% 11.46/11.90 ( converse(meet(one,X1)) = meet(one,converse(X1)) ),
% 11.46/11.90 inference(interreduction_right,[status(thm)],['0.224.2.0'])).
% 11.46/11.90 cnf('0.1621.0.1',plain,
% 11.46/11.90 ( converse(meet(one,X1)) = meet(X1,one) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1621.0.0','0.1620.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1621.1.0',plain,
% 11.46/11.90 ( converse(meet(one,X1)) = meet(X1,one) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1621.0.1']),
% 11.46/11.90 [weight('<39,224,1620,[0,0,0,0]>')]).
% 11.46/11.90 cnf('0.1621.2.0',plain,
% 11.46/11.90 ( converse(meet(one,X1)) = meet(X1,one) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1621.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_1608]).
% 11.46/11.90 cnf('0.1652.0.0',plain,
% 11.46/11.90 ( composition(top,meet(one,composition(converse(X1),top))) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1277.2.0','0.1617.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.1652.0.1',plain,
% 11.46/11.90 ( composition(top,composition(converse(converse(X1)),one)) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1652.0.0','0.1279.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.1652.0.2',plain,
% 11.46/11.90 ( composition(top,converse(converse(X1))) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1652.0.1','0.2.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.1652.0.3',plain,
% 11.46/11.90 ( composition(top,X1) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1652.0.2','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.1652.0.4',plain,
% 11.46/11.90 ( composition(top,X1) = composition(top,meet(one,composition(top,X1))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1652.0.3','0.1277.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.1652.1.0',plain,
% 11.46/11.90 ( composition(top,X1) = composition(top,meet(one,composition(top,X1))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1652.0.4']),
% 11.46/11.90 [weight('<87,1617,1277,[0,0,0,5]>')]).
% 11.46/11.90 cnf('0.1652.2.0',plain,
% 11.46/11.90 ( composition(top,meet(one,composition(top,X1))) = composition(top,X1) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.1652.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_1639]).
% 11.46/11.90 cnf('0.1672.0.0',plain,
% 11.46/11.90 ( meet(composition(converse(X1),X2),one) = meet(one,composition(converse(X2),X1)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1620.2.0','0.28.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.1672.1.0',plain,
% 11.46/11.90 ( meet(composition(converse(X1),X2),one) = meet(one,composition(converse(X2),X1)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.1672.0.0']),
% 11.46/11.90 [weight('<90,1620,28,[1,0,0,2]>')]).
% 11.46/11.90 cnf('0.1672.1.1',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X2),X1)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.1672.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.1672.2.0',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X2),X1)) ),
% 11.46/11.90 inference(activate,[status(thm)],['0.1672.1.1']),
% 11.46/11.90 [equation_15]).
% 11.46/11.90 cnf('0.5206.0.0',plain,
% 11.46/11.90 ( meet(composition(X1,X2),one) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1418.2.0','0.884.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.5206.1.0',plain,
% 11.46/11.90 ( meet(composition(X1,X2),one) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5206.0.0']),
% 11.46/11.90 [weight('<149,1418,884,[1,0,0,2]>')]).
% 11.46/11.90 cnf('0.5206.1.1',plain,
% 11.46/11.90 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5206.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.5206.2.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,join(X2,converse(complement(X1))))) = meet(one,composition(X1,X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5206.1.1',theory(equality)]),
% 11.46/11.90 [x,rule_5182]).
% 11.46/11.90 cnf('0.5703.0.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.5206.2.0','0.4.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.5703.1.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5703.0.0']),
% 11.46/11.90 [weight('<149,5206,4,[1,0,0,4]>')]).
% 11.46/11.90 cnf('0.5703.2.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,join(converse(complement(X1)),X2))) = meet(one,composition(X1,X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5703.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_5679]).
% 11.46/11.90 cnf('0.5713.0.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,join(X2,complement(converse(complement(X1)))))) = meet(one,composition(X1,top)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.5703.2.0','0.97.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.5713.0.1',plain,
% 11.46/11.90 ( meet(one,composition(X1,join(X2,converse(complement(complement(X1)))))) = meet(one,composition(X1,top)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5713.0.0','0.219.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.2','L')]).
% 11.46/11.90 cnf('0.5713.0.2',plain,
% 11.46/11.90 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5713.0.1','0.68.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.2.1','L')]).
% 11.46/11.90 cnf('0.5713.1.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5713.0.2']),
% 11.46/11.90 [weight('<125,5703,97,[1,0,0,4]>')]).
% 11.46/11.90 cnf('0.5713.2.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5713.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_5689]).
% 11.46/11.90 cnf('0.5714.0.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,meet(complement(converse(complement(X1))),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.5703.2.0','0.186.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.5714.0.1',plain,
% 11.46/11.90 ( meet(one,composition(X1,meet(converse(complement(complement(X1))),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5714.0.0','0.219.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.1','L')]).
% 11.46/11.90 cnf('0.5714.0.2',plain,
% 11.46/11.90 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5714.0.1','0.68.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.1.1','L')]).
% 11.46/11.90 cnf('0.5714.0.3',plain,
% 11.46/11.90 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5714.0.2','0.5703.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.5714.1.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5714.0.3']),
% 11.46/11.90 [weight('<125,5703,186,[1,0,0,4]>')]).
% 11.46/11.90 cnf('0.5714.2.0',plain,
% 11.46/11.90 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5714.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_5690]).
% 11.46/11.90 cnf('0.5724.0.0',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),top)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.5713.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.2','L')]).
% 11.46/11.90 cnf('0.5724.0.1',plain,
% 11.46/11.90 ( meet(one,composition(top,X1)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5724.0.0','0.1617.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.5724.1.0',plain,
% 11.46/11.90 ( meet(one,composition(top,X1)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5724.0.1']),
% 11.46/11.90 [weight('<125,5713,3,[1,0,0,6]>')]).
% 11.46/11.90 cnf('0.5724.2.0',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),join(X2,X1))) = meet(one,composition(top,X1)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5724.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_5700]).
% 11.46/11.90 cnf('0.5893.0.0',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.5714.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.1','L')]).
% 11.46/11.90 cnf('0.5893.1.0',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5893.0.0']),
% 11.46/11.90 [weight('<134,5714,3,[1,0,0,5]>')]).
% 11.46/11.90 cnf('0.5893.2.0',plain,
% 11.46/11.90 ( meet(one,composition(converse(X1),meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5893.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_5869]).
% 11.46/11.90 cnf('0.5927.0.0',plain,
% 11.46/11.90 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(meet(X1,X2)),X1)) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.5724.2.0','0.83.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.5927.1.0',plain,
% 11.46/11.90 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(meet(X1,X2)),X1)) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5927.0.0']),
% 11.46/11.90 [weight('<143,5724,83,[1,0,0,5]>')]).
% 11.46/11.90 cnf('0.5927.1.1',plain,
% 11.46/11.90 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5927.1.0','0.1672.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.5927.1.2',plain,
% 11.46/11.90 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5927.1.1','0.5893.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.5927.2.0',plain,
% 11.46/11.90 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5927.1.2',theory(equality)]),
% 11.46/11.90 [u,rule_5903]).
% 11.46/11.90 cnf('0.5929.0.0',plain,
% 11.46/11.90 ( composition(top,meet(one,composition(top,meet(X1,X2)))) = composition(top,composition(converse(one),meet(one,composition(converse(X1),X2)))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.1277.2.0','0.5927.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2','L')]).
% 11.46/11.90 cnf('0.5929.0.1',plain,
% 11.46/11.90 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(one),meet(one,composition(converse(X1),X2)))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5929.0.0','0.1652.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('0.5929.0.2',plain,
% 11.46/11.90 ( composition(top,meet(X1,X2)) = composition(top,meet(one,composition(converse(X1),X2))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5929.0.1','0.1277.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.5929.1.0',plain,
% 11.46/11.90 ( composition(top,meet(X1,X2)) = composition(top,meet(one,composition(converse(X1),X2))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5929.0.2']),
% 11.46/11.90 [weight('<125,5927,1277,[0,0,0,5]>')]).
% 11.46/11.90 cnf('0.5929.2.0',plain,
% 11.46/11.90 ( composition(top,meet(one,composition(converse(X1),X2))) = composition(top,meet(X1,X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5929.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_5905]).
% 11.46/11.90 cnf('0.5930.0.0',plain,
% 11.46/11.90 ( composition(top,meet(converse(X1),X2)) = composition(top,meet(one,composition(X1,X2))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.5929.2.0','0.3.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2.2.1','L')]).
% 11.46/11.90 cnf('0.5930.1.0',plain,
% 11.46/11.90 ( composition(top,meet(converse(X1),X2)) = composition(top,meet(one,composition(X1,X2))) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5930.0.0']),
% 11.46/11.90 [weight('<111,5929,3,[1,0,0,5]>')]).
% 11.46/11.90 cnf('0.5930.2.0',plain,
% 11.46/11.90 ( composition(top,meet(one,composition(X1,X2))) = composition(top,meet(converse(X1),X2)) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5930.1.0',theory(equality)]),
% 11.46/11.90 [x,rule_5906]).
% 11.46/11.90 cnf('0.5931.0.0',plain,
% 11.46/11.90 ( composition(converse(meet(one,composition(X1,X2))),top) = converse(composition(top,meet(converse(X1),X2))) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.80.2.0','0.5930.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.5931.0.1',plain,
% 11.46/11.90 ( composition(meet(composition(X1,X2),one),top) = converse(composition(top,meet(converse(X1),X2))) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5931.0.0','0.1621.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.5931.0.2',plain,
% 11.46/11.90 ( composition(meet(composition(X1,X2),one),top) = composition(converse(meet(converse(X1),X2)),top) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5931.0.1','0.80.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.5931.0.3',plain,
% 11.46/11.90 ( composition(meet(composition(X1,X2),one),top) = composition(meet(converse(X2),X1),top) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5931.0.2','0.262.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.1','L')]).
% 11.46/11.90 cnf('0.5931.1.0',plain,
% 11.46/11.90 ( composition(meet(composition(X1,X2),one),top) = composition(meet(converse(X2),X1),top) ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5931.0.3']),
% 11.46/11.90 [weight('<111,5930,80,[0,0,0,1]>')]).
% 11.46/11.90 cnf('0.5931.1.1',plain,
% 11.46/11.90 ( composition(meet(one,composition(X1,X2)),top) = composition(meet(converse(X2),X1),top) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5931.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.5931.2.0',plain,
% 11.46/11.90 ( composition(meet(one,composition(X1,X2)),top) = composition(meet(converse(X2),X1),top) ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5931.1.1',theory(equality)]),
% 11.46/11.90 [u,rule_5907]).
% 11.46/11.90 cnf('0.5932.0.0',plain,
% 11.46/11.90 ( composition(meet(converse(composition(sk2,converse(sk3))),complement(sk1)),top) = composition(zero,top) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.5931.2.0','0.1113.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.5932.0.1',plain,
% 11.46/11.90 ( composition(meet(composition(sk3,converse(sk2)),complement(sk1)),top) = composition(zero,top) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5932.0.0','0.27.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1.1','L')]).
% 11.46/11.90 cnf('0.5932.0.2',plain,
% 11.46/11.90 ( composition(meet(composition(sk3,converse(sk2)),complement(sk1)),top) = zero ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5932.0.1','0.78.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.5932.1.0',plain,
% 11.46/11.90 ( composition(meet(composition(sk3,converse(sk2)),complement(sk1)),top) = zero ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5932.0.2']),
% 11.46/11.90 [weight('<109,5931,1113,[1,0,0,1]>')]).
% 11.46/11.90 cnf('0.5932.1.1',plain,
% 11.46/11.90 ( composition(meet(complement(sk1),composition(sk3,converse(sk2))),top) = zero ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5932.1.0','0.18.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.1','L')]).
% 11.46/11.90 cnf('0.5932.2.0',plain,
% 11.46/11.90 ( composition(meet(complement(sk1),composition(sk3,converse(sk2))),top) = zero ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5932.1.1',theory(equality)]),
% 11.46/11.90 [u,rule_5908]).
% 11.46/11.90 cnf('0.5933.0.0',plain,
% 11.46/11.90 ( meet(complement(sk1),composition(sk3,converse(sk2))) = meet(meet(complement(sk1),composition(sk3,converse(sk2))),zero) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.240.2.0','0.5932.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.5933.0.1',plain,
% 11.46/11.90 ( meet(complement(sk1),composition(sk3,converse(sk2))) = meet(complement(sk1),meet(composition(sk3,converse(sk2)),zero)) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5933.0.0','0.528.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.5933.0.2',plain,
% 11.46/11.90 ( meet(complement(sk1),composition(sk3,converse(sk2))) = meet(complement(sk1),zero) ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5933.0.1','0.71.2.0',theory(equality)]),
% 11.46/11.90 [pos('R.2','L')]).
% 11.46/11.90 cnf('0.5933.0.3',plain,
% 11.46/11.90 ( meet(complement(sk1),composition(sk3,converse(sk2))) = zero ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5933.0.2','0.71.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.5933.1.0',plain,
% 11.46/11.90 ( meet(complement(sk1),composition(sk3,converse(sk2))) = zero ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5933.0.3']),
% 11.46/11.90 [weight('<71,5932,240,[0,0,0,2]>')]).
% 11.46/11.90 cnf('0.5933.2.0',plain,
% 11.46/11.90 ( meet(complement(sk1),composition(sk3,converse(sk2))) = zero ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5933.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_5909]).
% 11.46/11.90 cnf('0.5934.0.0',plain,
% 11.46/11.90 ( join(sk1,composition(sk3,converse(sk2))) = join(sk1,zero) ),
% 11.46/11.90 inference(cp,[status(thm)],['0.186.2.0','0.5933.2.0',theory(equality)]),
% 11.46/11.90 [pos('L.2','L')]).
% 11.46/11.90 cnf('0.5934.0.1',plain,
% 11.46/11.90 ( join(sk1,composition(sk3,converse(sk2))) = sk1 ),
% 11.46/11.90 inference(reduction,[status(thm)],['0.5934.0.0','0.66.2.0',theory(equality)]),
% 11.46/11.90 [pos('R','L')]).
% 11.46/11.90 cnf('0.5934.1.0',plain,
% 11.46/11.90 ( join(sk1,composition(sk3,converse(sk2))) = sk1 ),
% 11.46/11.90 inference(weigh,[status(thm)],['0.5934.0.1']),
% 11.46/11.90 [weight('<55,5933,186,[0,0,0,2]>')]).
% 11.46/11.90 cnf('0.5934.2.0',plain,
% 11.46/11.90 ( join(sk1,composition(sk3,converse(sk2))) = sk1 ),
% 11.46/11.90 inference(orient,[status(thm)],['0.5934.1.0',theory(equality)]),
% 11.46/11.90 [u,rule_5910]).
% 11.46/11.90 cnf('1.0.0.0',conjecture,
% 11.46/11.90 ( join(composition(sk3,converse(sk2)),sk1) = sk1 ),
% 11.46/11.90 file('/tmp/WALDMEISTER_9942_n019',conjecture_1)).
% 11.46/11.90 cnf('1.0.0.1',plain,
% 11.46/11.90 ( join(sk1,composition(sk3,converse(sk2))) = sk1 ),
% 11.46/11.90 inference(reduction,[status(thm)],['1.0.0.0','0.4.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('1.0.0.2',plain,
% 11.46/11.90 ( sk1 = sk1 ),
% 11.46/11.90 inference(reduction,[status(thm)],['1.0.0.1','0.5934.2.0',theory(equality)]),
% 11.46/11.90 [pos('L','L')]).
% 11.46/11.90 cnf('1.0.0.3',plain,
% 11.46/11.90 ( $true ),
% 11.46/11.90 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 11.46/11.90 [conjecture_1]).
% 11.46/11.90
% 11.46/11.90 Proved Goals:
% 11.46/11.90 No. 1: join(composition(sk3,converse(sk2)),sk1) ?= sk1 joined, current: sk1 = sk1
% 11.46/11.90 1 goal was specified, which was proved.
% 11.46/11.90 % SZS output end CNFRefutation
% 11.46/11.90 #END OF PROOF
% 11.46/11.90
% 11.46/11.90 Problem WALDMEISTER_9942_n019
% 11.46/11.90 CPs.gen 4618270
% 11.46/11.90 CPs.reexp 0
% 11.46/11.90 Select 222808
% 11.46/11.90 R 5910
% 11.46/11.90 E 24
% 11.46/11.90 vsize 12.4M
% 11.46/11.90 rss 7.9M
% 11.46/11.90 process.time 10.909s
% 11.46/11.90 wallclock.time 10.911s
% 11.46/11.90 status S
% 11.46/11.90
% 11.46/11.90
% 11.46/11.90 Waldmeister states: Goal proved.
% 11.46/11.90 % SZS status Unsatisfiable
%------------------------------------------------------------------------------