%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL011-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:09:40 EDT 2022
% Result : Unsatisfiable 11.20s 11.65s
% Output : CNFRefutation 11.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : REL011-1 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.15 % Command : woody %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jul 8 07:41:57 EDT 2022
% 0.21/0.37 % CPUTime :
% 0.36/1.02 ********************************************************************************
% 0.36/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.36/1.02 * |/ | \/ | *
% 0.36/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.36/1.02 * A. Jaeger and B. Loechner | | *
% 0.36/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.36/1.02 ********************************************************************************
% 0.36/1.02
% 0.36/1.02
% 0.36/1.02 Goals:
% 0.36/1.02 ------
% 0.36/1.02
% 0.36/1.02 ( 1) meet(composition(sk2,sk1),sk3) ?=? zero
% 0.36/1.02
% 0.36/1.02 Detected structure: Orkus
% 0.36/1.02 ********************************************************************************
% 0.36/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.36/1.02 ********************************************************************************
% 0.36/1.02
% 11.20/11.65 joined goal: 1 meet(composition(sk2,sk1),sk3) ?= zero to zero
% 11.20/11.65 goal joined
% 11.20/11.65 % SZS status Unsatisfiable
% 11.20/11.65 #START OF PROOF
% 11.20/11.65 % SZS output start CNFRefutation
% 11.20/11.65 cnf('0.1.0.0',axiom,
% 11.20/11.65 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.1.1.0',plain,
% 11.20/11.65 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.1.0.0']),
% 11.20/11.65 [weight('<0,0,0,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.1.2.0',plain,
% 11.20/11.65 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_1]).
% 11.20/11.65 cnf('0.2.0.0',axiom,
% 11.20/11.65 ( X1 = composition(X1,one) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.2.1.0',plain,
% 11.20/11.65 ( X1 = composition(X1,one) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.2.0.0']),
% 11.20/11.65 [weight('<1,0,0,[0,0,0,2]>')]).
% 11.20/11.65 cnf('0.2.2.0',plain,
% 11.20/11.65 ( composition(X1,one) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_2]).
% 11.20/11.65 cnf('0.3.0.0',axiom,
% 11.20/11.65 ( X1 = converse(converse(X1)) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.3.1.0',plain,
% 11.20/11.65 ( X1 = converse(converse(X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.3.0.0']),
% 11.20/11.65 [weight('<2,0,0,[0,0,0,3]>')]).
% 11.20/11.65 cnf('0.3.2.0',plain,
% 11.20/11.65 ( converse(converse(X1)) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_3]).
% 11.20/11.65 cnf('0.4.0.0',axiom,
% 11.20/11.65 ( join(X1,X2) = join(X2,X1) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.4.1.0',plain,
% 11.20/11.65 ( join(X1,X2) = join(X2,X1) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.4.0.0']),
% 11.20/11.65 [weight('<3,0,0,[0,0,0,4]>')]).
% 11.20/11.65 cnf('0.4.2.0',plain,
% 11.20/11.65 ( join(X1,X2) = join(X2,X1) ),
% 11.20/11.65 inference(activate,[status(thm)],['0.4.1.0']),
% 11.20/11.65 [equation_1]).
% 11.20/11.65 cnf('0.5.0.0',axiom,
% 11.20/11.65 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.5.1.0',plain,
% 11.20/11.65 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.5.0.0']),
% 11.20/11.65 [weight('<4,0,0,[0,0,0,5]>')]).
% 11.20/11.65 cnf('0.5.2.0',plain,
% 11.20/11.65 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_4]).
% 11.20/11.65 cnf('0.6.0.0',axiom,
% 11.20/11.65 ( join(X1,complement(X1)) = top ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.6.1.0',plain,
% 11.20/11.65 ( join(X1,complement(X1)) = top ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.6.0.0']),
% 11.20/11.65 [weight('<5,0,0,[0,0,0,6]>')]).
% 11.20/11.65 cnf('0.6.2.0',plain,
% 11.20/11.65 ( join(X1,complement(X1)) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_5]).
% 11.20/11.65 cnf('0.7.0.0',axiom,
% 11.20/11.65 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.7.1.0',plain,
% 11.20/11.65 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.7.0.0']),
% 11.20/11.65 [weight('<6,0,0,[0,0,0,7]>')]).
% 11.20/11.65 cnf('0.7.2.0',plain,
% 11.20/11.65 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_6]).
% 11.20/11.65 cnf('0.8.0.0',axiom,
% 11.20/11.65 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.8.1.0',plain,
% 11.20/11.65 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.8.0.0']),
% 11.20/11.65 [weight('<7,0,0,[0,0,0,8]>')]).
% 11.20/11.65 cnf('0.8.1.1',plain,
% 11.20/11.65 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.8.2.0',plain,
% 11.20/11.65 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 11.20/11.65 [u,rule_7]).
% 11.20/11.65 cnf('0.9.0.0',axiom,
% 11.20/11.65 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.9.1.0',plain,
% 11.20/11.65 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.9.0.0']),
% 11.20/11.65 [weight('<8,0,0,[0,0,0,9]>')]).
% 11.20/11.65 cnf('0.9.2.0',plain,
% 11.20/11.65 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_8]).
% 11.20/11.65 cnf('0.10.0.0',axiom,
% 11.20/11.65 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.10.1.0',plain,
% 11.20/11.65 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.10.0.0']),
% 11.20/11.65 [weight('<9,0,0,[0,0,0,10]>')]).
% 11.20/11.65 cnf('0.10.2.0',plain,
% 11.20/11.65 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_9]).
% 11.20/11.65 cnf('0.11.0.0',axiom,
% 11.20/11.65 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.11.1.0',plain,
% 11.20/11.65 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.11.0.0']),
% 11.20/11.65 [weight('<10,0,0,[0,0,0,11]>')]).
% 11.20/11.65 cnf('0.11.2.0',plain,
% 11.20/11.65 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_10]).
% 11.20/11.65 cnf('0.12.0.0',axiom,
% 11.20/11.65 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.12.1.0',plain,
% 11.20/11.65 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.12.0.0']),
% 11.20/11.65 [weight('<11,0,0,[0,0,0,12]>')]).
% 11.20/11.65 cnf('0.12.2.0',plain,
% 11.20/11.65 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_11]).
% 11.20/11.65 cnf('0.13.0.0',axiom,
% 11.20/11.65 ( meet(X1,complement(X1)) = zero ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.13.1.0',plain,
% 11.20/11.65 ( meet(X1,complement(X1)) = zero ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.13.0.0']),
% 11.20/11.65 [weight('<12,0,0,[0,0,0,13]>')]).
% 11.20/11.65 cnf('0.13.2.0',plain,
% 11.20/11.65 ( meet(X1,complement(X1)) = zero ),
% 11.20/11.65 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_12]).
% 11.20/11.65 cnf('0.14.0.0',axiom,
% 11.20/11.65 ( meet(sk1,composition(converse(sk2),sk3)) = zero ),
% 11.20/11.65 file('/tmp/WALDMEISTER_6570_n003')).
% 11.20/11.65 cnf('0.14.1.0',plain,
% 11.20/11.65 ( meet(sk1,composition(converse(sk2),sk3)) = zero ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.14.0.0']),
% 11.20/11.65 [weight('<13,0,0,[0,0,0,14]>')]).
% 11.20/11.65 cnf('0.14.2.0',plain,
% 11.20/11.65 ( meet(sk1,composition(converse(sk2),sk3)) = zero ),
% 11.20/11.65 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_13]).
% 11.20/11.65 cnf('0.15.0.0',plain,
% 11.20/11.65 ( meet(X1,complement(X1)) = complement(top) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.15.1.0',plain,
% 11.20/11.65 ( meet(X1,complement(X1)) = complement(top) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.15.0.0']),
% 11.20/11.65 [weight('<34,10,6,[1,0,0,1]>')]).
% 11.20/11.65 cnf('0.15.1.1',plain,
% 11.20/11.65 ( zero = complement(top) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.15.1.0','0.13.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.15.2.0',plain,
% 11.20/11.65 ( complement(top) = zero ),
% 11.20/11.65 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 11.20/11.65 [x,rule_14]).
% 11.20/11.65 cnf('0.18.0.0',plain,
% 11.20/11.65 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.10.2.0','0.4.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.18.0.1',plain,
% 11.20/11.65 ( meet(X1,X2) = meet(X2,X1) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.18.0.0','0.10.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.18.1.0',plain,
% 11.20/11.65 ( meet(X1,X2) = meet(X2,X1) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.18.0.1']),
% 11.20/11.65 [weight('<48,10,4,[1,0,0,1]>')]).
% 11.20/11.65 cnf('0.18.2.0',plain,
% 11.20/11.65 ( meet(X1,X2) = meet(X2,X1) ),
% 11.20/11.65 inference(activate,[status(thm)],['0.18.1.0']),
% 11.20/11.65 [equation_2]).
% 11.20/11.65 cnf('0.20.0.0',plain,
% 11.20/11.65 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.10.2.0','0.15.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1.1','L')]).
% 11.20/11.65 cnf('0.20.1.0',plain,
% 11.20/11.65 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.20.0.0']),
% 11.20/11.65 [weight('<53,15,10,[0,0,0,2]>')]).
% 11.20/11.65 cnf('0.20.2.0',plain,
% 11.20/11.65 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_18]).
% 11.20/11.65 cnf('0.25.0.0',plain,
% 11.20/11.65 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.25.1.0',plain,
% 11.20/11.65 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.25.0.0']),
% 11.20/11.65 [weight('<59,9,3,[1,0,0,1]>')]).
% 11.20/11.65 cnf('0.25.2.0',plain,
% 11.20/11.65 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_23]).
% 11.20/11.65 cnf('0.26.0.0',plain,
% 11.20/11.65 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.26.1.0',plain,
% 11.20/11.65 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.26.0.0']),
% 11.20/11.65 [weight('<59,9,3,[1,0,0,3]>')]).
% 11.20/11.65 cnf('0.26.2.0',plain,
% 11.20/11.65 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_24]).
% 11.20/11.65 cnf('0.27.0.0',plain,
% 11.20/11.65 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.27.1.0',plain,
% 11.20/11.65 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.27.0.0']),
% 11.20/11.65 [weight('<59,12,3,[1,0,0,1]>')]).
% 11.20/11.65 cnf('0.27.2.0',plain,
% 11.20/11.65 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_25]).
% 11.20/11.65 cnf('0.28.0.0',plain,
% 11.20/11.65 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.28.1.0',plain,
% 11.20/11.65 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.28.0.0']),
% 11.20/11.65 [weight('<59,12,3,[1,0,0,3]>')]).
% 11.20/11.65 cnf('0.28.2.0',plain,
% 11.20/11.65 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_26]).
% 11.20/11.65 cnf('0.29.0.0',plain,
% 11.20/11.65 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.28.2.0','0.2.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.29.0.1',plain,
% 11.20/11.65 ( composition(converse(one),X1) = X1 ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.29.0.0','0.3.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.29.1.0',plain,
% 11.20/11.65 ( composition(converse(one),X1) = X1 ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.29.0.1']),
% 11.20/11.65 [weight('<29,28,2,[1,0,0,1]>')]).
% 11.20/11.65 cnf('0.29.2.0',plain,
% 11.20/11.65 ( composition(converse(one),X1) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_27]).
% 11.20/11.65 cnf('0.30.0.0',plain,
% 11.20/11.65 ( one = converse(one) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.29.2.0','0.2.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.30.1.0',plain,
% 11.20/11.65 ( one = converse(one) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.30.0.0']),
% 11.20/11.65 [weight('<11,29,2,[1,0,0,0]>')]).
% 11.20/11.65 cnf('0.30.2.0',plain,
% 11.20/11.65 ( converse(one) = one ),
% 11.20/11.65 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_28]).
% 11.20/11.65 cnf('0.31.0.0',plain,
% 11.20/11.65 ( composition(converse(one),X1) = X1 ),
% 11.20/11.65 inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 11.20/11.65 cnf('0.31.0.1',plain,
% 11.20/11.65 ( composition(one,X1) = X1 ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.31.0.0','0.30.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.31.1.0',plain,
% 11.20/11.65 ( composition(one,X1) = X1 ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.31.0.1']),
% 11.20/11.65 [weight('<19,29,30,[0,0,0,0]>')]).
% 11.20/11.65 cnf('0.31.2.0',plain,
% 11.20/11.65 ( composition(one,X1) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_29]).
% 11.20/11.65 cnf('0.32.0.0',plain,
% 11.20/11.65 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.9.2.0','0.30.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.32.1.0',plain,
% 11.20/11.65 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.32.0.0']),
% 11.20/11.65 [weight('<44,30,9,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.32.2.0',plain,
% 11.20/11.65 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_30]).
% 11.20/11.65 cnf('0.34.0.0',plain,
% 11.20/11.65 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.8.2.0','0.31.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2.2.1','L')]).
% 11.20/11.65 cnf('0.34.0.1',plain,
% 11.20/11.65 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.34.0.0','0.30.2.0',theory(equality)]),
% 11.20/11.65 [pos('R.2.1','L')]).
% 11.20/11.65 cnf('0.34.0.2',plain,
% 11.20/11.65 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.34.0.1','0.31.2.0',theory(equality)]),
% 11.20/11.65 [pos('R.2','L')]).
% 11.20/11.65 cnf('0.34.1.0',plain,
% 11.20/11.65 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.34.0.2']),
% 11.20/11.65 [weight('<47,31,8,[0,0,0,7]>')]).
% 11.20/11.65 cnf('0.34.2.0',plain,
% 11.20/11.65 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_32]).
% 11.20/11.65 cnf('0.35.0.0',plain,
% 11.20/11.65 ( complement(top) = join(zero,complement(top)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.34.2.0','0.15.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.35.0.1',plain,
% 11.20/11.65 ( zero = join(zero,complement(top)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.35.0.0','0.15.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.35.0.2',plain,
% 11.20/11.65 ( zero = join(zero,zero) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.35.0.1','0.15.2.0',theory(equality)]),
% 11.20/11.65 [pos('R.2','L')]).
% 11.20/11.65 cnf('0.35.1.0',plain,
% 11.20/11.65 ( zero = join(zero,zero) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.35.0.2']),
% 11.20/11.65 [weight('<19,34,15,[1,0,0,1]>')]).
% 11.20/11.65 cnf('0.35.2.0',plain,
% 11.20/11.65 ( join(zero,zero) = zero ),
% 11.20/11.65 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_33]).
% 11.20/11.65 cnf('0.38.0.0',plain,
% 11.20/11.65 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.10.2.0','0.34.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.38.1.0',plain,
% 11.20/11.65 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.38.0.0']),
% 11.20/11.65 [weight('<48,34,10,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.38.2.0',plain,
% 11.20/11.65 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.20/11.65 inference(activate,[status(thm)],['0.38.1.0']),
% 11.20/11.65 [equation_3]).
% 11.20/11.65 cnf('0.39.0.0',plain,
% 11.20/11.65 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.5.2.0','0.35.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.39.1.0',plain,
% 11.20/11.65 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.39.0.0']),
% 11.20/11.65 [weight('<53,35,5,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.39.2.0',plain,
% 11.20/11.65 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_36]).
% 11.20/11.65 cnf('0.40.0.0',plain,
% 11.20/11.65 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.39.2.0','0.4.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.40.1.0',plain,
% 11.20/11.65 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.40.0.0']),
% 11.20/11.65 [weight('<53,39,4,[1,0,0,2]>')]).
% 11.20/11.65 cnf('0.40.2.0',plain,
% 11.20/11.65 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_37]).
% 11.20/11.65 cnf('0.43.0.0',plain,
% 11.20/11.65 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.25.2.0','0.6.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.43.1.0',plain,
% 11.20/11.65 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.43.0.0']),
% 11.20/11.65 [weight('<62,25,6,[1,0,0,1]>')]).
% 11.20/11.65 cnf('0.43.2.0',plain,
% 11.20/11.65 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_40]).
% 11.20/11.65 cnf('0.46.0.0',plain,
% 11.20/11.65 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.7.2.0','0.31.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.46.1.0',plain,
% 11.20/11.65 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.46.0.0']),
% 11.20/11.65 [weight('<65,31,7,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.46.2.0',plain,
% 11.20/11.65 ( join(X1,composition(X2,X1)) = composition(join(one,X2),X1) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_43]).
% 11.20/11.65 cnf('0.47.0.0',plain,
% 11.20/11.65 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.47.1.0',plain,
% 11.20/11.65 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.47.0.0']),
% 11.20/11.65 [weight('<69,6,5,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.47.2.0',plain,
% 11.20/11.65 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_44]).
% 11.20/11.65 cnf('0.48.0.0',plain,
% 11.20/11.65 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.47.2.0','0.34.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.48.0.1',plain,
% 11.20/11.65 ( join(top,complement(X1)) = top ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.48.0.0','0.6.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.48.1.0',plain,
% 11.20/11.65 ( join(top,complement(X1)) = top ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.48.0.1']),
% 11.20/11.65 [weight('<29,47,34,[1,0,0,2]>')]).
% 11.20/11.65 cnf('0.48.2.0',plain,
% 11.20/11.65 ( join(top,complement(X1)) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_45]).
% 11.20/11.65 cnf('0.51.0.0',plain,
% 11.20/11.65 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.47.2.0','0.6.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.51.1.0',plain,
% 11.20/11.65 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.51.0.0']),
% 11.20/11.65 [weight('<53,47,6,[1,0,0,2]>')]).
% 11.20/11.65 cnf('0.51.1.1',plain,
% 11.20/11.65 ( top = join(X1,top) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.51.1.0','0.48.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.51.2.0',plain,
% 11.20/11.65 ( join(X1,top) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.51.1.1',theory(equality)]),
% 11.20/11.65 [x,rule_48]).
% 11.20/11.65 cnf('0.52.0.0',plain,
% 11.20/11.65 ( top = join(top,X1) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.51.2.0','0.4.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.52.1.0',plain,
% 11.20/11.65 ( top = join(top,X1) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.52.0.0']),
% 11.20/11.65 [weight('<19,51,4,[1,0,0,0]>')]).
% 11.20/11.65 cnf('0.52.2.0',plain,
% 11.20/11.65 ( join(top,X1) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_49]).
% 11.20/11.65 cnf('0.53.0.0',plain,
% 11.20/11.65 ( top = converse(top) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.52.2.0','0.43.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.53.1.0',plain,
% 11.20/11.65 ( top = converse(top) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.53.0.0']),
% 11.20/11.65 [weight('<11,52,43,[1,0,0,0]>')]).
% 11.20/11.65 cnf('0.53.2.0',plain,
% 11.20/11.65 ( converse(top) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_50]).
% 11.20/11.65 cnf('0.55.0.0',plain,
% 11.20/11.65 ( top = composition(join(one,X1),top) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.52.2.0','0.46.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.55.1.0',plain,
% 11.20/11.65 ( top = composition(join(one,X1),top) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.55.0.0']),
% 11.20/11.65 [weight('<41,52,46,[1,0,0,0]>')]).
% 11.20/11.65 cnf('0.55.2.0',plain,
% 11.20/11.65 ( composition(join(one,X1),top) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_52]).
% 11.20/11.65 cnf('0.56.0.0',plain,
% 11.20/11.65 ( top = composition(top,top) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.55.2.0','0.6.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.56.1.0',plain,
% 11.20/11.65 ( top = composition(top,top) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.56.0.0']),
% 11.20/11.65 [weight('<19,55,6,[1,0,0,1]>')]).
% 11.20/11.65 cnf('0.56.2.0',plain,
% 11.20/11.65 ( composition(top,top) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_53]).
% 11.20/11.65 cnf('0.57.0.0',plain,
% 11.20/11.65 ( complement(top) = join(complement(top),composition(converse(top),complement(top))) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.8.2.0','0.56.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2.2.1','L')]).
% 11.20/11.65 cnf('0.57.0.1',plain,
% 11.20/11.65 ( zero = join(complement(top),composition(converse(top),complement(top))) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.57.0.0','0.15.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.57.0.2',plain,
% 11.20/11.65 ( zero = composition(join(one,converse(top)),complement(top)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.57.0.1','0.46.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.57.0.3',plain,
% 11.20/11.65 ( zero = composition(join(one,top),complement(top)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.57.0.2','0.53.2.0',theory(equality)]),
% 11.20/11.65 [pos('R.1.2','L')]).
% 11.20/11.65 cnf('0.57.0.4',plain,
% 11.20/11.65 ( zero = composition(top,complement(top)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.57.0.3','0.51.2.0',theory(equality)]),
% 11.20/11.65 [pos('R.1','L')]).
% 11.20/11.65 cnf('0.57.0.5',plain,
% 11.20/11.65 ( zero = composition(top,zero) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.57.0.4','0.15.2.0',theory(equality)]),
% 11.20/11.65 [pos('R.2','L')]).
% 11.20/11.65 cnf('0.57.1.0',plain,
% 11.20/11.65 ( zero = composition(top,zero) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.57.0.5']),
% 11.20/11.65 [weight('<19,56,8,[0,0,0,7]>')]).
% 11.20/11.65 cnf('0.57.2.0',plain,
% 11.20/11.65 ( composition(top,zero) = zero ),
% 11.20/11.65 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_54]).
% 11.20/11.65 cnf('0.59.0.0',plain,
% 11.20/11.65 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 11.20/11.65 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 11.20/11.65 cnf('0.59.1.0',plain,
% 11.20/11.65 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.59.0.0']),
% 11.20/11.65 [weight('<?,1,4,[0,0,0,0]>')]).
% 11.20/11.65 cnf('0.59.1.1',plain,
% 11.20/11.65 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.59.1.0','0.4.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.59.1.2',plain,
% 11.20/11.65 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.59.1.1','0.10.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.59.1.3',plain,
% 11.20/11.65 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.59.1.2','0.4.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.59.2.0',plain,
% 11.20/11.65 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.59.1.3',theory(equality)]),
% 11.20/11.65 [u,rule_56]).
% 11.20/11.65 cnf('0.61.0.0',plain,
% 11.20/11.65 ( composition(join(top,X1),zero) = join(zero,composition(X1,zero)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.7.2.0','0.57.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.61.0.1',plain,
% 11.20/11.65 ( composition(top,zero) = join(zero,composition(X1,zero)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.61.0.0','0.52.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.61.0.2',plain,
% 11.20/11.65 ( zero = join(zero,composition(X1,zero)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.61.0.1','0.57.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.61.0.3',plain,
% 11.20/11.65 ( zero = composition(join(one,X1),zero) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.61.0.2','0.46.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.61.1.0',plain,
% 11.20/11.65 ( zero = composition(join(one,X1),zero) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.61.0.3']),
% 11.20/11.65 [weight('<41,57,7,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.61.2.0',plain,
% 11.20/11.65 ( composition(join(one,X1),zero) = zero ),
% 11.20/11.65 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_58]).
% 11.20/11.65 cnf('0.62.0.0',plain,
% 11.20/11.65 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.59.2.0','0.13.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.62.0.1',plain,
% 11.20/11.65 ( X1 = join(zero,meet(X1,X1)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.62.0.0','0.10.2.0',theory(equality)]),
% 11.20/11.65 [pos('R.2','L')]).
% 11.20/11.65 cnf('0.62.1.0',plain,
% 11.20/11.65 ( X1 = join(zero,meet(X1,X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.62.0.1']),
% 11.20/11.65 [weight('<41,59,13,[1,0,0,1]>')]).
% 11.20/11.65 cnf('0.62.2.0',plain,
% 11.20/11.65 ( join(zero,meet(X1,X1)) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_59]).
% 11.20/11.65 cnf('0.63.0.0',plain,
% 11.20/11.65 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.39.2.0','0.62.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.63.0.1',plain,
% 11.20/11.65 ( X1 = join(zero,X1) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.63.0.0','0.62.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.63.1.0',plain,
% 11.20/11.65 ( X1 = join(zero,X1) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.63.0.1']),
% 11.20/11.65 [weight('<19,62,39,[0,0,0,2]>')]).
% 11.20/11.65 cnf('0.63.2.0',plain,
% 11.20/11.65 ( join(zero,X1) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_60]).
% 11.20/11.65 cnf('0.64.0.0',plain,
% 11.20/11.65 ( complement(zero) = top ),
% 11.20/11.65 inference(cp,[status(thm)],['0.63.2.0','0.6.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.64.1.0',plain,
% 11.20/11.65 ( complement(zero) = top ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.64.0.0']),
% 11.20/11.65 [weight('<11,63,6,[1,0,0,0]>')]).
% 11.20/11.65 cnf('0.64.2.0',plain,
% 11.20/11.65 ( complement(zero) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_61]).
% 11.20/11.65 cnf('0.66.0.0',plain,
% 11.20/11.65 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 11.20/11.65 inference(interreduction_right,[status(thm)],['0.40.2.0'])).
% 11.20/11.65 cnf('0.66.0.1',plain,
% 11.20/11.65 ( join(X1,zero) = join(zero,X1) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.66.0.0','0.63.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.66.0.2',plain,
% 11.20/11.65 ( join(X1,zero) = X1 ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.66.0.1','0.63.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.66.1.0',plain,
% 11.20/11.65 ( join(X1,zero) = X1 ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.66.0.2']),
% 11.20/11.65 [weight('<19,40,63,[0,0,0,0]>')]).
% 11.20/11.65 cnf('0.66.2.0',plain,
% 11.20/11.65 ( join(X1,zero) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_63]).
% 11.20/11.65 cnf('0.67.0.0',plain,
% 11.20/11.65 ( join(zero,meet(X1,X1)) = X1 ),
% 11.20/11.65 inference(interreduction_right,[status(thm)],['0.62.2.0'])).
% 11.20/11.65 cnf('0.67.0.1',plain,
% 11.20/11.65 ( meet(X1,X1) = X1 ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.67.0.0','0.63.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.67.1.0',plain,
% 11.20/11.65 ( meet(X1,X1) = X1 ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.67.0.1']),
% 11.20/11.65 [weight('<19,62,63,[0,0,0,0]>')]).
% 11.20/11.65 cnf('0.67.2.0',plain,
% 11.20/11.65 ( meet(X1,X1) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_64]).
% 11.20/11.65 cnf('0.68.0.0',plain,
% 11.20/11.65 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.20/11.65 inference(interreduction_right,[status(thm)],['0.38.2.0'])).
% 11.20/11.65 cnf('0.68.0.1',plain,
% 11.20/11.65 ( X1 = complement(complement(X1)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.68.0.0','0.67.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.68.1.0',plain,
% 11.20/11.65 ( X1 = complement(complement(X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.68.0.1']),
% 11.20/11.65 [weight('<19,38,67,[0,0,0,0]>')]).
% 11.20/11.65 cnf('0.68.2.0',plain,
% 11.20/11.65 ( complement(complement(X1)) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_65]).
% 11.20/11.65 cnf('0.69.0.0',plain,
% 11.20/11.65 ( composition(X1,zero) = composition(join(one,X1),zero) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.63.2.0','0.46.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.69.0.1',plain,
% 11.20/11.65 ( composition(X1,zero) = zero ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.69.0.0','0.61.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.69.1.0',plain,
% 11.20/11.65 ( composition(X1,zero) = zero ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.69.0.1']),
% 11.20/11.65 [weight('<19,63,46,[1,0,0,0]>')]).
% 11.20/11.65 cnf('0.69.2.0',plain,
% 11.20/11.65 ( composition(X1,zero) = zero ),
% 11.20/11.65 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_66]).
% 11.20/11.65 cnf('0.72.0.0',plain,
% 11.20/11.65 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.34.2.0','0.68.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.72.0.1',plain,
% 11.20/11.65 ( X1 = join(X1,complement(complement(X1))) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.72.0.0','0.68.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.72.0.2',plain,
% 11.20/11.65 ( X1 = join(X1,X1) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.72.0.1','0.68.2.0',theory(equality)]),
% 11.20/11.65 [pos('R.2','L')]).
% 11.20/11.65 cnf('0.72.1.0',plain,
% 11.20/11.65 ( X1 = join(X1,X1) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.72.0.2']),
% 11.20/11.65 [weight('<19,68,34,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.72.2.0',plain,
% 11.20/11.65 ( join(X1,X1) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_69]).
% 11.20/11.65 cnf('0.73.0.0',plain,
% 11.20/11.65 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 11.20/11.65 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 11.20/11.65 cnf('0.73.0.1',plain,
% 11.20/11.65 ( complement(complement(X1)) = meet(top,X1) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.73.0.0','0.63.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.73.1.0',plain,
% 11.20/11.65 ( complement(complement(X1)) = meet(top,X1) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.73.0.1']),
% 11.20/11.65 [weight('<27,20,63,[0,0,0,0]>')]).
% 11.20/11.65 cnf('0.73.1.1',plain,
% 11.20/11.65 ( X1 = meet(top,X1) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.73.1.0','0.68.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.73.2.0',plain,
% 11.20/11.65 ( meet(top,X1) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.73.1.1',theory(equality)]),
% 11.20/11.65 [x,rule_70]).
% 11.20/11.65 cnf('0.74.0.0',plain,
% 11.20/11.65 ( X1 = meet(X1,top) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.73.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.74.1.0',plain,
% 11.20/11.65 ( X1 = meet(X1,top) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.74.0.0']),
% 11.20/11.65 [weight('<19,73,18,[1,0,0,0]>')]).
% 11.20/11.65 cnf('0.74.2.0',plain,
% 11.20/11.65 ( meet(X1,top) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_71]).
% 11.20/11.65 cnf('0.75.0.0',plain,
% 11.20/11.65 ( join(converse(zero),X1) = converse(converse(X1)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.26.2.0','0.63.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.75.0.1',plain,
% 11.20/11.65 ( join(converse(zero),X1) = X1 ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.75.0.0','0.3.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.75.1.0',plain,
% 11.20/11.65 ( join(converse(zero),X1) = X1 ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.75.0.1']),
% 11.20/11.65 [weight('<29,63,26,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.75.2.0',plain,
% 11.20/11.65 ( join(converse(zero),X1) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_72]).
% 11.20/11.65 cnf('0.76.0.0',plain,
% 11.20/11.65 ( zero = converse(zero) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.75.2.0','0.66.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.76.1.0',plain,
% 11.20/11.65 ( zero = converse(zero) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.76.0.0']),
% 11.20/11.65 [weight('<11,75,66,[1,0,0,0]>')]).
% 11.20/11.65 cnf('0.76.2.0',plain,
% 11.20/11.65 ( converse(zero) = zero ),
% 11.20/11.65 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_73]).
% 11.20/11.65 cnf('0.79.0.0',plain,
% 11.20/11.65 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.12.2.0','0.53.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.79.1.0',plain,
% 11.20/11.65 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.79.0.0']),
% 11.20/11.65 [weight('<44,53,12,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.79.2.0',plain,
% 11.20/11.65 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_76]).
% 11.20/11.65 cnf('0.80.0.0',plain,
% 11.20/11.65 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.12.2.0','0.53.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.80.1.0',plain,
% 11.20/11.65 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.80.0.0']),
% 11.20/11.65 [weight('<44,53,12,[0,0,0,3]>')]).
% 11.20/11.65 cnf('0.80.2.0',plain,
% 11.20/11.65 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_77]).
% 11.20/11.65 cnf('0.81.0.0',plain,
% 11.20/11.65 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.11.2.0','0.56.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.81.1.0',plain,
% 11.20/11.65 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.81.0.0']),
% 11.20/11.65 [weight('<53,56,11,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.81.2.0',plain,
% 11.20/11.65 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_78]).
% 11.20/11.65 cnf('0.82.0.0',plain,
% 11.20/11.65 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.5.2.0','0.72.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.1','L')]).
% 11.20/11.65 cnf('0.82.1.0',plain,
% 11.20/11.65 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.82.0.0']),
% 11.20/11.65 [weight('<53,72,5,[0,0,0,1]>')]).
% 11.20/11.65 cnf('0.82.2.0',plain,
% 11.20/11.65 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_79]).
% 11.20/11.65 cnf('0.83.0.0',plain,
% 11.20/11.65 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.82.2.0','0.59.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.83.0.1',plain,
% 11.20/11.65 ( X1 = join(meet(X1,X2),X1) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.83.0.0','0.59.2.0',theory(equality)]),
% 11.20/11.65 [pos('L','L')]).
% 11.20/11.65 cnf('0.83.1.0',plain,
% 11.20/11.65 ( X1 = join(meet(X1,X2),X1) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.83.0.1']),
% 11.20/11.65 [weight('<41,82,59,[1,0,0,2]>')]).
% 11.20/11.65 cnf('0.83.1.1',plain,
% 11.20/11.65 ( X1 = join(X1,meet(X1,X2)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.83.1.0','0.4.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.83.2.0',plain,
% 11.20/11.65 ( join(X1,meet(X1,X2)) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.83.1.1',theory(equality)]),
% 11.20/11.65 [x,rule_80]).
% 11.20/11.65 cnf('0.84.0.0',plain,
% 11.20/11.65 ( X1 = join(X1,meet(X2,X1)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.83.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.84.1.0',plain,
% 11.20/11.65 ( X1 = join(X1,meet(X2,X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.84.0.0']),
% 11.20/11.65 [weight('<41,83,18,[1,0,0,2]>')]).
% 11.20/11.65 cnf('0.84.2.0',plain,
% 11.20/11.65 ( join(X1,meet(X2,X1)) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_81]).
% 11.20/11.65 cnf('0.85.0.0',plain,
% 11.20/11.65 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.82.2.0','0.4.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.85.1.0',plain,
% 11.20/11.65 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.85.0.0']),
% 11.20/11.65 [weight('<53,82,4,[1,0,0,2]>')]).
% 11.20/11.65 cnf('0.85.2.0',plain,
% 11.20/11.65 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_82]).
% 11.20/11.65 cnf('0.86.0.0',plain,
% 11.20/11.65 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.20/11.65 inference(interreduction_right,[status(thm)],['0.43.2.0'])).
% 11.20/11.65 cnf('0.86.0.1',plain,
% 11.20/11.65 ( join(X1,converse(complement(converse(X1)))) = top ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.86.0.0','0.53.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.86.1.0',plain,
% 11.20/11.65 ( join(X1,converse(complement(converse(X1)))) = top ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.86.0.1']),
% 11.20/11.65 [weight('<55,43,53,[0,0,0,0]>')]).
% 11.20/11.65 cnf('0.86.2.0',plain,
% 11.20/11.65 ( join(X1,converse(complement(converse(X1)))) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_83]).
% 11.20/11.65 cnf('0.87.0.0',plain,
% 11.20/11.65 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.20/11.65 inference(interreduction_right,[status(thm)],['0.47.2.0'])).
% 11.20/11.65 cnf('0.87.0.1',plain,
% 11.20/11.65 ( join(X1,join(complement(X1),X2)) = top ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.87.0.0','0.52.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.87.1.0',plain,
% 11.20/11.65 ( join(X1,join(complement(X1),X2)) = top ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.87.0.1']),
% 11.20/11.65 [weight('<55,47,52,[0,0,0,0]>')]).
% 11.20/11.65 cnf('0.87.2.0',plain,
% 11.20/11.65 ( join(X1,join(complement(X1),X2)) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 11.20/11.65 [u,rule_84]).
% 11.20/11.65 cnf('0.88.0.0',plain,
% 11.20/11.65 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.59.2.0','0.87.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2.1','L')]).
% 11.20/11.65 cnf('0.88.0.1',plain,
% 11.20/11.65 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.88.0.0','0.68.2.0',theory(equality)]),
% 11.20/11.65 [pos('R.1.2.1','L')]).
% 11.20/11.65 cnf('0.88.0.2',plain,
% 11.20/11.65 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.88.0.1','0.15.2.0',theory(equality)]),
% 11.20/11.65 [pos('R.2','L')]).
% 11.20/11.65 cnf('0.88.0.3',plain,
% 11.20/11.65 ( X1 = meet(X1,join(X1,X2)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.88.0.2','0.66.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.88.1.0',plain,
% 11.20/11.65 ( X1 = meet(X1,join(X1,X2)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.88.0.3']),
% 11.20/11.65 [weight('<41,87,59,[0,0,0,5]>')]).
% 11.20/11.65 cnf('0.88.2.0',plain,
% 11.20/11.65 ( meet(X1,join(X1,X2)) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_85]).
% 11.20/11.65 cnf('0.89.0.0',plain,
% 11.20/11.65 ( X1 = meet(X1,join(X2,X1)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.88.2.0','0.4.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.89.1.0',plain,
% 11.20/11.65 ( X1 = meet(X1,join(X2,X1)) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.89.0.0']),
% 11.20/11.65 [weight('<41,88,4,[1,0,0,2]>')]).
% 11.20/11.65 cnf('0.89.2.0',plain,
% 11.20/11.65 ( meet(X1,join(X2,X1)) = X1 ),
% 11.20/11.65 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_86]).
% 11.20/11.65 cnf('0.91.0.0',plain,
% 11.20/11.65 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.89.2.0','0.84.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.91.1.0',plain,
% 11.20/11.65 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.91.0.0']),
% 11.20/11.65 [weight('<53,89,84,[1,0,0,2]>')]).
% 11.20/11.65 cnf('0.91.1.1',plain,
% 11.20/11.65 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 11.20/11.65 inference(reduction,[status(thm)],['0.91.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.65 [pos('R','L')]).
% 11.20/11.65 cnf('0.91.2.0',plain,
% 11.20/11.65 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 11.20/11.65 inference(orient,[status(thm)],['0.91.1.1',theory(equality)]),
% 11.20/11.65 [x,rule_88]).
% 11.20/11.65 cnf('0.97.0.0',plain,
% 11.20/11.65 ( top = join(X1,join(X2,complement(X1))) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.87.2.0','0.4.2.0',theory(equality)]),
% 11.20/11.65 [pos('L.2','L')]).
% 11.20/11.65 cnf('0.97.1.0',plain,
% 11.20/11.65 ( top = join(X1,join(X2,complement(X1))) ),
% 11.20/11.65 inference(weigh,[status(thm)],['0.97.0.0']),
% 11.20/11.65 [weight('<55,87,4,[1,0,0,2]>')]).
% 11.20/11.65 cnf('0.97.2.0',plain,
% 11.20/11.65 ( join(X1,join(X2,complement(X1))) = top ),
% 11.20/11.65 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 11.20/11.65 [x,rule_94]).
% 11.20/11.65 cnf('0.98.0.0',plain,
% 11.20/11.65 ( top = join(complement(X1),join(X1,X2)) ),
% 11.20/11.65 inference(cp,[status(thm)],['0.87.2.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.98.1.0',plain,
% 11.20/11.66 ( top = join(complement(X1),join(X1,X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.98.0.0']),
% 11.20/11.66 [weight('<55,87,68,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.98.2.0',plain,
% 11.20/11.66 ( join(complement(X1),join(X1,X2)) = top ),
% 11.20/11.66 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_95]).
% 11.20/11.66 cnf('0.99.0.0',plain,
% 11.20/11.66 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.85.2.0','0.87.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.99.0.1',plain,
% 11.20/11.66 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.99.0.0','0.5.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.99.0.2',plain,
% 11.20/11.66 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.99.0.1','0.5.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.99.0.3',plain,
% 11.20/11.66 ( join(complement(X1),join(X2,X1)) = join(complement(X1),top) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.99.0.2','0.51.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.99.0.4',plain,
% 11.20/11.66 ( join(complement(X1),join(X2,X1)) = top ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.99.0.3','0.51.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.99.1.0',plain,
% 11.20/11.66 ( join(complement(X1),join(X2,X1)) = top ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.99.0.4']),
% 11.20/11.66 [weight('<55,87,85,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.99.2.0',plain,
% 11.20/11.66 ( join(complement(X1),join(X2,X1)) = top ),
% 11.20/11.66 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_96]).
% 11.20/11.66 cnf('0.100.0.0',plain,
% 11.20/11.66 ( top = join(complement(meet(X1,X2)),X1) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.98.2.0','0.59.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.100.1.0',plain,
% 11.20/11.66 ( top = join(complement(meet(X1,X2)),X1) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.100.0.0']),
% 11.20/11.66 [weight('<55,98,59,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.100.1.1',plain,
% 11.20/11.66 ( top = join(X1,complement(meet(X1,X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.100.1.0','0.4.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.100.2.0',plain,
% 11.20/11.66 ( join(X1,complement(meet(X1,X2))) = top ),
% 11.20/11.66 inference(orient,[status(thm)],['0.100.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_97]).
% 11.20/11.66 cnf('0.101.0.0',plain,
% 11.20/11.66 ( top = join(complement(meet(X1,X2)),X2) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.99.2.0','0.84.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.101.1.0',plain,
% 11.20/11.66 ( top = join(complement(meet(X1,X2)),X2) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.101.0.0']),
% 11.20/11.66 [weight('<55,99,84,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.101.1.1',plain,
% 11.20/11.66 ( top = join(X2,complement(meet(X1,X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.101.1.0','0.4.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.101.2.0',plain,
% 11.20/11.66 ( join(X1,complement(meet(X2,X1))) = top ),
% 11.20/11.66 inference(orient,[status(thm)],['0.101.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_98]).
% 11.20/11.66 cnf('0.103.0.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,complement(X1))) = complement(top) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.10.2.0','0.101.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.103.0.1',plain,
% 11.20/11.66 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.103.0.0','0.15.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.103.1.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.103.0.1']),
% 11.20/11.66 [weight('<55,101,10,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.103.2.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_100]).
% 11.20/11.66 cnf('0.105.0.0',plain,
% 11.20/11.66 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.103.2.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.105.1.0',plain,
% 11.20/11.66 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.105.0.0']),
% 11.20/11.66 [weight('<55,103,68,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.105.2.0',plain,
% 11.20/11.66 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_102]).
% 11.20/11.66 cnf('0.107.0.0',plain,
% 11.20/11.66 ( zero = meet(complement(join(X1,X2)),X2) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.105.2.0','0.89.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.107.1.0',plain,
% 11.20/11.66 ( zero = meet(complement(join(X1,X2)),X2) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.107.0.0']),
% 11.20/11.66 [weight('<55,105,89,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.107.1.1',plain,
% 11.20/11.66 ( zero = meet(X2,complement(join(X1,X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.107.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.107.2.0',plain,
% 11.20/11.66 ( meet(X1,complement(join(X2,X1))) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.107.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_104]).
% 11.20/11.66 cnf('0.108.0.0',plain,
% 11.20/11.66 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.10.2.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.108.1.0',plain,
% 11.20/11.66 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.108.0.0']),
% 11.20/11.66 [weight('<59,68,10,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.108.2.0',plain,
% 11.20/11.66 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_105]).
% 11.20/11.66 cnf('0.109.0.0',plain,
% 11.20/11.66 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.108.2.0','0.4.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.109.1.0',plain,
% 11.20/11.66 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.109.0.0']),
% 11.20/11.66 [weight('<59,108,4,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.109.2.0',plain,
% 11.20/11.66 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_106]).
% 11.20/11.66 cnf('0.111.0.0',plain,
% 11.20/11.66 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.68.2.0','0.108.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.111.1.0',plain,
% 11.20/11.66 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.111.0.0']),
% 11.20/11.66 [weight('<59,108,68,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.111.2.0',plain,
% 11.20/11.66 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_107]).
% 11.20/11.66 cnf('0.113.0.0',plain,
% 11.20/11.66 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.111.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.113.1.0',plain,
% 11.20/11.66 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.113.0.0']),
% 11.20/11.66 [weight('<59,111,18,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.113.2.0',plain,
% 11.20/11.66 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_109]).
% 11.20/11.66 cnf('0.114.0.0',plain,
% 11.20/11.66 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.111.2.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.114.1.0',plain,
% 11.20/11.66 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.114.0.0']),
% 11.20/11.66 [weight('<59,111,68,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.114.2.0',plain,
% 11.20/11.66 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_110]).
% 11.20/11.66 cnf('0.119.0.0',plain,
% 11.20/11.66 ( join(X1,converse(meet(X2,converse(X1)))) = converse(converse(X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.25.2.0','0.84.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.119.0.1',plain,
% 11.20/11.66 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.119.0.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.119.1.0',plain,
% 11.20/11.66 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.119.0.1']),
% 11.20/11.66 [weight('<71,84,25,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.119.2.0',plain,
% 11.20/11.66 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 11.20/11.66 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_115]).
% 11.20/11.66 cnf('0.130.0.0',plain,
% 11.20/11.66 ( join(one,converse(complement(meet(X1,one)))) = converse(top) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.32.2.0','0.101.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.130.0.1',plain,
% 11.20/11.66 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.130.0.0','0.53.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.130.1.0',plain,
% 11.20/11.66 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.130.0.1']),
% 11.20/11.66 [weight('<71,101,32,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.130.2.0',plain,
% 11.20/11.66 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 11.20/11.66 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_126]).
% 11.20/11.66 cnf('0.148.0.0',plain,
% 11.20/11.66 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.5.2.0','0.83.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.148.1.0',plain,
% 11.20/11.66 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.148.0.0']),
% 11.20/11.66 [weight('<87,83,5,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.148.2.0',plain,
% 11.20/11.66 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.148.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_144]).
% 11.20/11.66 cnf('0.150.0.0',plain,
% 11.20/11.66 ( join(X1,meet(X2,meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.148.2.0','0.84.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.150.0.1',plain,
% 11.20/11.66 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.150.0.0','0.83.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.150.1.0',plain,
% 11.20/11.66 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.150.0.1']),
% 11.20/11.66 [weight('<71,148,84,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.150.2.0',plain,
% 11.20/11.66 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 11.20/11.66 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_146]).
% 11.20/11.66 cnf('0.152.0.0',plain,
% 11.20/11.66 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.150.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.152.1.0',plain,
% 11.20/11.66 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.152.0.0']),
% 11.20/11.66 [weight('<71,150,18,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.152.2.0',plain,
% 11.20/11.66 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 11.20/11.66 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_148]).
% 11.20/11.66 cnf('0.153.0.0',plain,
% 11.20/11.66 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.5.2.0','0.84.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.153.1.0',plain,
% 11.20/11.66 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.153.0.0']),
% 11.20/11.66 [weight('<87,84,5,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.153.2.0',plain,
% 11.20/11.66 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_149]).
% 11.20/11.66 cnf('0.162.0.0',plain,
% 11.20/11.66 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.148.2.0','0.4.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.162.1.0',plain,
% 11.20/11.66 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.162.0.0']),
% 11.20/11.66 [weight('<87,148,4,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.162.2.0',plain,
% 11.20/11.66 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_157]).
% 11.20/11.66 cnf('0.183.0.0',plain,
% 11.20/11.66 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 11.20/11.66 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 11.20/11.66 cnf('0.183.0.1',plain,
% 11.20/11.66 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.183.0.0','0.109.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.183.1.0',plain,
% 11.20/11.66 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.183.0.1']),
% 11.20/11.66 [weight('<89,59,109,[0,0,0,0]>')]).
% 11.20/11.66 cnf('0.183.2.0',plain,
% 11.20/11.66 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 11.20/11.66 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_178]).
% 11.20/11.66 cnf('0.184.0.0',plain,
% 11.20/11.66 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.153.2.0','0.183.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.184.1.0',plain,
% 11.20/11.66 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.184.0.0']),
% 11.20/11.66 [weight('<69,183,153,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.184.2.0',plain,
% 11.20/11.66 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_179]).
% 11.20/11.66 cnf('0.186.0.0',plain,
% 11.20/11.66 ( sk1 = join(zero,meet(complement(composition(converse(sk2),sk3)),sk1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.183.2.0','0.14.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.186.0.1',plain,
% 11.20/11.66 ( sk1 = meet(complement(composition(converse(sk2),sk3)),sk1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.186.0.0','0.63.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.186.1.0',plain,
% 11.20/11.66 ( sk1 = meet(complement(composition(converse(sk2),sk3)),sk1) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.186.0.1']),
% 11.20/11.66 [weight('<71,183,14,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.186.1.1',plain,
% 11.20/11.66 ( sk1 = meet(sk1,complement(composition(converse(sk2),sk3))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.186.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.186.2.0',plain,
% 11.20/11.66 ( meet(sk1,complement(composition(converse(sk2),sk3))) = sk1 ),
% 11.20/11.66 inference(orient,[status(thm)],['0.186.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_181]).
% 11.20/11.66 cnf('0.187.0.0',plain,
% 11.20/11.66 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.162.2.0','0.183.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.187.1.0',plain,
% 11.20/11.66 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.187.0.0']),
% 11.20/11.66 [weight('<76,183,162,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.187.2.0',plain,
% 11.20/11.66 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_182]).
% 11.20/11.66 cnf('0.189.0.0',plain,
% 11.20/11.66 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.109.2.0','0.184.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.189.0.1',plain,
% 11.20/11.66 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.189.0.0','0.111.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.189.0.2',plain,
% 11.20/11.66 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.189.0.1','0.114.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.189.0.3',plain,
% 11.20/11.66 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.189.0.2','0.109.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.189.1.0',plain,
% 11.20/11.66 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.189.0.3']),
% 11.20/11.66 [weight('<76,184,109,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.189.1.1',plain,
% 11.20/11.66 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.189.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.189.2.0',plain,
% 11.20/11.66 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.189.1.1',theory(equality)]),
% 11.20/11.66 [u,rule_184]).
% 11.20/11.66 cnf('0.190.0.0',plain,
% 11.20/11.66 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.189.2.0','0.113.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.190.0.1',plain,
% 11.20/11.66 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.190.0.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.190.1.0',plain,
% 11.20/11.66 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.190.0.1']),
% 11.20/11.66 [weight('<69,189,113,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.190.2.0',plain,
% 11.20/11.66 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_185]).
% 11.20/11.66 cnf('0.191.0.0',plain,
% 11.20/11.66 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.190.2.0','0.4.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.191.1.0',plain,
% 11.20/11.66 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.191.0.0']),
% 11.20/11.66 [weight('<69,190,4,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.191.2.0',plain,
% 11.20/11.66 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.191.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_186]).
% 11.20/11.66 cnf('0.192.0.0',plain,
% 11.20/11.66 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.191.2.0','0.86.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.192.0.1',plain,
% 11.20/11.66 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.192.0.0','0.74.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.192.1.0',plain,
% 11.20/11.66 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.192.0.1']),
% 11.20/11.66 [weight('<71,191,86,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.192.1.1',plain,
% 11.20/11.66 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.192.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.192.2.0',plain,
% 11.20/11.66 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.20/11.66 inference(orient,[status(thm)],['0.192.1.1',theory(equality)]),
% 11.20/11.66 [u,rule_187]).
% 11.20/11.66 cnf('0.193.0.0',plain,
% 11.20/11.66 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.111.2.0','0.192.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.193.0.1',plain,
% 11.20/11.66 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.193.0.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1.1.1.1','L')]).
% 11.20/11.66 cnf('0.193.0.2',plain,
% 11.20/11.66 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.193.0.1','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.193.1.0',plain,
% 11.20/11.66 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.193.0.2']),
% 11.20/11.66 [weight('<71,192,111,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.193.2.0',plain,
% 11.20/11.66 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.20/11.66 inference(orient,[status(thm)],['0.193.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_188]).
% 11.20/11.66 cnf('0.194.0.0',plain,
% 11.20/11.66 ( one = join(one,complement(converse(complement(one)))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.193.2.0','0.30.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1.1.1','L')]).
% 11.20/11.66 cnf('0.194.1.0',plain,
% 11.20/11.66 ( one = join(one,complement(converse(complement(one)))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.194.0.0']),
% 11.20/11.66 [weight('<55,193,30,[1,0,0,5]>')]).
% 11.20/11.66 cnf('0.194.2.0',plain,
% 11.20/11.66 ( join(one,complement(converse(complement(one)))) = one ),
% 11.20/11.66 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_189]).
% 11.20/11.66 cnf('0.195.0.0',plain,
% 11.20/11.66 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.108.2.0','0.194.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.195.1.0',plain,
% 11.20/11.66 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.195.0.0']),
% 11.20/11.66 [weight('<62,194,108,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.195.2.0',plain,
% 11.20/11.66 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_190]).
% 11.20/11.66 cnf('0.196.0.0',plain,
% 11.20/11.66 ( complement(one) = join(complement(one),converse(complement(one))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.119.2.0','0.195.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.196.1.0',plain,
% 11.20/11.66 ( complement(one) = join(complement(one),converse(complement(one))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.196.0.0']),
% 11.20/11.66 [weight('<62,195,119,[0,0,0,3]>')]).
% 11.20/11.66 cnf('0.196.2.0',plain,
% 11.20/11.66 ( join(complement(one),converse(complement(one))) = complement(one) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.196.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_191]).
% 11.20/11.66 cnf('0.199.0.0',plain,
% 11.20/11.66 ( converse(complement(one)) = join(converse(complement(one)),complement(one)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.84.2.0','0.195.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.199.1.0',plain,
% 11.20/11.66 ( converse(complement(one)) = join(converse(complement(one)),complement(one)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.199.0.0']),
% 11.20/11.66 [weight('<69,195,84,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.199.1.1',plain,
% 11.20/11.66 ( converse(complement(one)) = join(complement(one),converse(complement(one))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.199.1.0','0.4.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.199.1.2',plain,
% 11.20/11.66 ( converse(complement(one)) = complement(one) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.199.1.1','0.196.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.199.2.0',plain,
% 11.20/11.66 ( converse(complement(one)) = complement(one) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.199.1.2',theory(equality)]),
% 11.20/11.66 [u,rule_194]).
% 11.20/11.66 cnf('0.201.0.0',plain,
% 11.20/11.66 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.9.2.0','0.199.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.201.1.0',plain,
% 11.20/11.66 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.201.0.0']),
% 11.20/11.66 [weight('<65,199,9,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.201.2.0',plain,
% 11.20/11.66 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.201.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_196]).
% 11.20/11.66 cnf('0.205.0.0',plain,
% 11.20/11.66 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.25.2.0','0.193.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.205.0.1',plain,
% 11.20/11.66 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.205.0.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1.1.1.1','L')]).
% 11.20/11.66 cnf('0.205.0.2',plain,
% 11.20/11.66 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.205.0.1','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.205.1.0',plain,
% 11.20/11.66 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.205.0.2']),
% 11.20/11.66 [weight('<71,193,25,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.205.2.0',plain,
% 11.20/11.66 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.20/11.66 inference(orient,[status(thm)],['0.205.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_200]).
% 11.20/11.66 cnf('0.208.0.0',plain,
% 11.20/11.66 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.109.2.0','0.205.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.208.0.1',plain,
% 11.20/11.66 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.208.0.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1.1.1.1','L')]).
% 11.20/11.66 cnf('0.208.0.2',plain,
% 11.20/11.66 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.208.0.1','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.208.1.0',plain,
% 11.20/11.66 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.208.0.2']),
% 11.20/11.66 [weight('<71,205,109,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.208.1.1',plain,
% 11.20/11.66 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.208.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.208.2.0',plain,
% 11.20/11.66 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.20/11.66 inference(orient,[status(thm)],['0.208.1.1',theory(equality)]),
% 11.20/11.66 [u,rule_203]).
% 11.20/11.66 cnf('0.213.0.0',plain,
% 11.20/11.66 ( meet(complement(meet(X1,X2)),X2) = complement(join(complement(X2),X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.109.2.0','0.187.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.213.0.1',plain,
% 11.20/11.66 ( meet(complement(meet(X1,X2)),X2) = meet(complement(X1),X2) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.213.0.0','0.109.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.213.1.0',plain,
% 11.20/11.66 ( meet(complement(meet(X1,X2)),X2) = meet(complement(X1),X2) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.213.0.1']),
% 11.20/11.66 [weight('<76,187,109,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.213.1.1',plain,
% 11.20/11.66 ( meet(X2,complement(meet(X1,X2))) = meet(complement(X1),X2) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.213.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.213.2.0',plain,
% 11.20/11.66 ( meet(X1,complement(meet(X2,X1))) = meet(complement(X2),X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.213.1.1',theory(equality)]),
% 11.20/11.66 [u,rule_208]).
% 11.20/11.66 cnf('0.215.0.0',plain,
% 11.20/11.66 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.190.2.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.215.1.0',plain,
% 11.20/11.66 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.215.0.0']),
% 11.20/11.66 [weight('<76,190,68,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.215.2.0',plain,
% 11.20/11.66 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.215.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_210]).
% 11.20/11.66 cnf('0.216.0.0',plain,
% 11.20/11.66 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.215.2.0','0.86.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.216.0.1',plain,
% 11.20/11.66 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.216.0.0','0.208.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.216.0.2',plain,
% 11.20/11.66 ( X1 = complement(converse(complement(converse(X1)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.216.0.1','0.74.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.216.1.0',plain,
% 11.20/11.66 ( X1 = complement(converse(complement(converse(X1)))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.216.0.2']),
% 11.20/11.66 [weight('<41,215,86,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.216.2.0',plain,
% 11.20/11.66 ( complement(converse(complement(converse(X1)))) = X1 ),
% 11.20/11.66 inference(orient,[status(thm)],['0.216.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_211]).
% 11.20/11.66 cnf('0.217.0.0',plain,
% 11.20/11.66 ( converse(X1) = complement(converse(complement(X1))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.216.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1.1','L')]).
% 11.20/11.66 cnf('0.217.1.0',plain,
% 11.20/11.66 ( converse(X1) = complement(converse(complement(X1))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.217.0.0']),
% 11.20/11.66 [weight('<34,216,3,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.217.2.0',plain,
% 11.20/11.66 ( complement(converse(complement(X1))) = converse(X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.217.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_212]).
% 11.20/11.66 cnf('0.218.0.0',plain,
% 11.20/11.66 ( converse(complement(X1)) = complement(converse(X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.68.2.0','0.217.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.218.1.0',plain,
% 11.20/11.66 ( converse(complement(X1)) = complement(converse(X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.218.0.0']),
% 11.20/11.66 [weight('<27,217,68,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.218.2.0',plain,
% 11.20/11.66 ( complement(converse(X1)) = converse(complement(X1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.218.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_213]).
% 11.20/11.66 cnf('0.220.0.0',plain,
% 11.20/11.66 ( converse(complement(composition(X1,top))) = complement(composition(top,converse(X1))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.218.2.0','0.79.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.220.1.0',plain,
% 11.20/11.66 ( converse(complement(composition(X1,top))) = complement(composition(top,converse(X1))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.220.0.0']),
% 11.20/11.66 [weight('<65,218,79,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.220.2.0',plain,
% 11.20/11.66 ( complement(composition(top,converse(X1))) = converse(complement(composition(X1,top))) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_215]).
% 11.20/11.66 cnf('0.221.0.0',plain,
% 11.20/11.66 ( converse(complement(composition(top,X1))) = complement(composition(converse(X1),top)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.218.2.0','0.80.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.221.1.0',plain,
% 11.20/11.66 ( converse(complement(composition(top,X1))) = complement(composition(converse(X1),top)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.221.0.0']),
% 11.20/11.66 [weight('<65,218,80,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.221.2.0',plain,
% 11.20/11.66 ( complement(composition(converse(X1),top)) = converse(complement(composition(top,X1))) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.221.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_216]).
% 11.20/11.66 cnf('0.222.0.0',plain,
% 11.20/11.66 ( converse(complement(join(complement(one),X1))) = complement(join(complement(one),converse(X1))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.218.2.0','0.201.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.222.0.1',plain,
% 11.20/11.66 ( converse(meet(complement(X1),one)) = complement(join(complement(one),converse(X1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.222.0.0','0.109.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.222.0.2',plain,
% 11.20/11.66 ( converse(meet(complement(X1),one)) = meet(complement(converse(X1)),one) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.222.0.1','0.109.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.222.0.3',plain,
% 11.20/11.66 ( converse(meet(complement(X1),one)) = meet(converse(complement(X1)),one) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.222.0.2','0.218.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.1','L')]).
% 11.20/11.66 cnf('0.222.1.0',plain,
% 11.20/11.66 ( converse(meet(complement(X1),one)) = meet(converse(complement(X1)),one) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.222.0.3']),
% 11.20/11.66 [weight('<65,218,201,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.222.1.1',plain,
% 11.20/11.66 ( converse(meet(one,complement(X1))) = meet(converse(complement(X1)),one) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.222.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.222.1.2',plain,
% 11.20/11.66 ( converse(meet(one,complement(X1))) = meet(one,converse(complement(X1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.222.1.1','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.222.2.0',plain,
% 11.20/11.66 ( converse(meet(one,complement(X1))) = meet(one,converse(complement(X1))) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.222.1.2',theory(equality)]),
% 11.20/11.66 [u,rule_217]).
% 11.20/11.66 cnf('0.223.0.0',plain,
% 11.20/11.66 ( meet(one,converse(complement(complement(X1)))) = converse(meet(one,X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.222.2.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.2','L')]).
% 11.20/11.66 cnf('0.223.0.1',plain,
% 11.20/11.66 ( meet(one,converse(X1)) = converse(meet(one,X1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.223.0.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.223.1.0',plain,
% 11.20/11.66 ( meet(one,converse(X1)) = converse(meet(one,X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.223.0.1']),
% 11.20/11.66 [weight('<44,222,68,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.223.2.0',plain,
% 11.20/11.66 ( converse(meet(one,X1)) = meet(one,converse(X1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.223.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_218]).
% 11.20/11.66 cnf('0.224.0.0',plain,
% 11.20/11.66 ( meet(one,converse(X1)) = converse(meet(X1,one)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.223.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.224.1.0',plain,
% 11.20/11.66 ( meet(one,converse(X1)) = converse(meet(X1,one)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.224.0.0']),
% 11.20/11.66 [weight('<44,223,18,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.224.2.0',plain,
% 11.20/11.66 ( converse(meet(X1,one)) = meet(one,converse(X1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_219]).
% 11.20/11.66 cnf('0.225.0.0',plain,
% 11.20/11.66 ( converse(complement(meet(one,X1))) = complement(meet(one,converse(X1))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.218.2.0','0.223.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.225.1.0',plain,
% 11.20/11.66 ( converse(complement(meet(one,X1))) = complement(meet(one,converse(X1))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.225.0.0']),
% 11.20/11.66 [weight('<65,223,218,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.225.2.0',plain,
% 11.20/11.66 ( complement(meet(one,converse(X1))) = converse(complement(meet(one,X1))) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_220]).
% 11.20/11.66 cnf('0.227.0.0',plain,
% 11.20/11.66 ( complement(top) = join(complement(top),composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.8.2.0','0.221.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.227.0.1',plain,
% 11.20/11.66 ( zero = join(complement(top),composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.227.0.0','0.15.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.227.0.2',plain,
% 11.20/11.66 ( zero = join(zero,composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.227.0.1','0.15.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.1','L')]).
% 11.20/11.66 cnf('0.227.0.3',plain,
% 11.20/11.66 ( zero = composition(converse(converse(X1)),converse(complement(composition(top,X1)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.227.0.2','0.63.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.227.0.4',plain,
% 11.20/11.66 ( zero = converse(composition(complement(composition(top,X1)),converse(X1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.227.0.3','0.12.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.227.0.5',plain,
% 11.20/11.66 ( zero = composition(X1,converse(complement(composition(top,X1)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.227.0.4','0.27.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.227.1.0',plain,
% 11.20/11.66 ( zero = composition(X1,converse(complement(composition(top,X1)))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.227.0.5']),
% 11.20/11.66 [weight('<71,221,8,[0,0,0,6]>')]).
% 11.20/11.66 cnf('0.227.2.0',plain,
% 11.20/11.66 ( composition(X1,converse(complement(composition(top,X1)))) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.227.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_222]).
% 11.20/11.66 cnf('0.233.0.0',plain,
% 11.20/11.66 ( composition(converse(converse(complement(composition(top,converse(X1))))),X1) = converse(zero) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.28.2.0','0.227.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.233.0.1',plain,
% 11.20/11.66 ( composition(complement(composition(top,converse(X1))),X1) = converse(zero) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.233.0.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.233.0.2',plain,
% 11.20/11.66 ( composition(converse(complement(composition(X1,top))),X1) = converse(zero) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.233.0.1','0.220.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.233.0.3',plain,
% 11.20/11.66 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.233.0.2','0.76.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.233.1.0',plain,
% 11.20/11.66 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.233.0.3']),
% 11.20/11.66 [weight('<71,227,28,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.233.2.0',plain,
% 11.20/11.66 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.233.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_228]).
% 11.20/11.66 cnf('0.234.0.0',plain,
% 11.20/11.66 ( join(composition(converse(sk2),sk3),complement(sk1)) = complement(sk1) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.113.2.0','0.186.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.234.1.0',plain,
% 11.20/11.66 ( join(composition(converse(sk2),sk3),complement(sk1)) = complement(sk1) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.234.0.0']),
% 11.20/11.66 [weight('<79,186,113,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.234.1.1',plain,
% 11.20/11.66 ( join(complement(sk1),composition(converse(sk2),sk3)) = complement(sk1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.234.1.0','0.4.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.234.2.0',plain,
% 11.20/11.66 ( join(complement(sk1),composition(converse(sk2),sk3)) = complement(sk1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.234.1.1',theory(equality)]),
% 11.20/11.66 [u,rule_229]).
% 11.20/11.66 cnf('0.237.0.0',plain,
% 11.20/11.66 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.218.2.0','0.25.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.237.1.0',plain,
% 11.20/11.66 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.237.0.0']),
% 11.20/11.66 [weight('<83,218,25,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.237.2.0',plain,
% 11.20/11.66 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.237.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_232]).
% 11.20/11.66 cnf('0.261.0.0',plain,
% 11.20/11.66 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.114.2.0','0.218.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.261.1.0',plain,
% 11.20/11.66 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.261.0.0']),
% 11.20/11.66 [weight('<83,218,114,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.261.2.0',plain,
% 11.20/11.66 ( join(converse(complement(X1)),complement(X2)) = complement(meet(converse(X1),X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.261.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_256]).
% 11.20/11.66 cnf('0.262.0.0',plain,
% 11.20/11.66 ( complement(join(complement(X1),converse(complement(X2)))) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.237.2.0','0.261.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.262.0.1',plain,
% 11.20/11.66 ( meet(complement(converse(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.262.0.0','0.109.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.262.0.2',plain,
% 11.20/11.66 ( meet(converse(complement(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.262.0.1','0.218.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.262.0.3',plain,
% 11.20/11.66 ( meet(converse(X2),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.262.0.2','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.262.0.4',plain,
% 11.20/11.66 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.262.0.3','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.1','L')]).
% 11.20/11.66 cnf('0.262.1.0',plain,
% 11.20/11.66 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.262.0.4']),
% 11.20/11.66 [weight('<59,261,237,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.262.2.0',plain,
% 11.20/11.66 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.262.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_257]).
% 11.20/11.66 cnf('0.263.0.0',plain,
% 11.20/11.66 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2.1','L')]).
% 11.20/11.66 cnf('0.263.1.0',plain,
% 11.20/11.66 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.263.0.0']),
% 11.20/11.66 [weight('<?,8,2,[1,0,0,7]>')]).
% 11.20/11.66 cnf('0.263.2.0',plain,
% 11.20/11.66 ( join(complement(one),composition(converse(X1),complement(X1))) = complement(one) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.263.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_258]).
% 11.20/11.66 cnf('0.265.0.0',plain,
% 11.20/11.66 ( meet(converse(X1),X2) = converse(meet(X1,converse(X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.262.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.265.1.0',plain,
% 11.20/11.66 ( meet(converse(X1),X2) = converse(meet(X1,converse(X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.265.0.0']),
% 11.20/11.66 [weight('<59,262,18,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.265.2.0',plain,
% 11.20/11.66 ( converse(meet(X1,converse(X2))) = meet(converse(X1),X2) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.265.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_260]).
% 11.20/11.66 cnf('0.266.0.0',plain,
% 11.20/11.66 ( zero = meet(composition(converse(X1),complement(X1)),complement(complement(one))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.107.2.0','0.263.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.266.0.1',plain,
% 11.20/11.66 ( zero = meet(composition(converse(X1),complement(X1)),one) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.266.0.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.266.1.0',plain,
% 11.20/11.66 ( zero = meet(composition(converse(X1),complement(X1)),one) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.266.0.1']),
% 11.20/11.66 [weight('<71,263,107,[0,0,0,3]>')]).
% 11.20/11.66 cnf('0.266.1.1',plain,
% 11.20/11.66 ( zero = meet(one,composition(converse(X1),complement(X1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.266.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.266.2.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),complement(X1))) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.266.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_261]).
% 11.20/11.66 cnf('0.267.0.0',plain,
% 11.20/11.66 ( zero = meet(one,composition(X1,complement(converse(X1)))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.266.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.267.0.1',plain,
% 11.20/11.66 ( zero = meet(one,composition(X1,converse(complement(X1)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.267.0.0','0.218.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2.2','L')]).
% 11.20/11.66 cnf('0.267.1.0',plain,
% 11.20/11.66 ( zero = meet(one,composition(X1,converse(complement(X1)))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.267.0.1']),
% 11.20/11.66 [weight('<71,266,3,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.267.2.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,converse(complement(X1)))) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.267.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_262]).
% 11.20/11.66 cnf('0.313.0.0',plain,
% 11.20/11.66 ( zero = meet(meet(X1,meet(X2,X3)),complement(X3)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.107.2.0','0.152.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.313.1.0',plain,
% 11.20/11.66 ( zero = meet(meet(X1,meet(X2,X3)),complement(X3)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.313.0.0']),
% 11.20/11.66 [weight('<89,152,107,[0,0,0,3]>')]).
% 11.20/11.66 cnf('0.313.1.1',plain,
% 11.20/11.66 ( zero = meet(complement(X3),meet(X1,meet(X2,X3))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.313.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.313.2.0',plain,
% 11.20/11.66 ( meet(complement(X1),meet(X2,meet(X3,X1))) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.313.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_308]).
% 11.20/11.66 cnf('0.390.0.0',plain,
% 11.20/11.66 ( one = join(zero,meet(complement(composition(X1,converse(complement(X1)))),one)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.183.2.0','0.267.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.390.0.1',plain,
% 11.20/11.66 ( one = meet(complement(composition(X1,converse(complement(X1)))),one) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.390.0.0','0.63.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.390.1.0',plain,
% 11.20/11.66 ( one = meet(complement(composition(X1,converse(complement(X1)))),one) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.390.0.1']),
% 11.20/11.66 [weight('<89,267,183,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.390.1.1',plain,
% 11.20/11.66 ( one = meet(one,complement(composition(X1,converse(complement(X1))))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.390.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.390.2.0',plain,
% 11.20/11.66 ( meet(one,complement(composition(X1,converse(complement(X1))))) = one ),
% 11.20/11.66 inference(orient,[status(thm)],['0.390.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_385]).
% 11.20/11.66 cnf('0.445.0.0',plain,
% 11.20/11.66 ( join(X1,converse(composition(X2,converse(X1)))) = converse(composition(join(one,X2),converse(X1))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.25.2.0','0.46.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.445.0.1',plain,
% 11.20/11.66 ( join(X1,composition(X1,converse(X2))) = converse(composition(join(one,X2),converse(X1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.445.0.0','0.27.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.445.0.2',plain,
% 11.20/11.66 ( join(X1,composition(X1,converse(X2))) = composition(X1,converse(join(one,X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.445.0.1','0.27.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.445.0.3',plain,
% 11.20/11.66 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.445.0.2','0.32.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.445.1.0',plain,
% 11.20/11.66 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.445.0.3']),
% 11.20/11.66 [weight('<90,46,25,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.445.2.0',plain,
% 11.20/11.66 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.445.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_440]).
% 11.20/11.66 cnf('0.446.0.0',plain,
% 11.20/11.66 ( composition(X1,join(one,converse(converse(X2)))) = join(X1,composition(X1,X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.445.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.446.0.1',plain,
% 11.20/11.66 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.446.0.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.446.1.0',plain,
% 11.20/11.66 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.446.0.1']),
% 11.20/11.66 [weight('<65,445,3,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.446.2.0',plain,
% 11.20/11.66 ( join(X1,composition(X1,X2)) = composition(X1,join(one,X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.446.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_441]).
% 11.20/11.66 cnf('0.483.0.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),X2) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.89.2.0','0.150.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.483.1.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),X2) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.483.0.0']),
% 11.20/11.66 [weight('<103,150,89,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.483.1.1',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,meet(X2,X3))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.483.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.483.2.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X2,meet(X1,X3)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.483.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_478]).
% 11.20/11.66 cnf('0.505.0.0',plain,
% 11.20/11.66 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,join(meet(X1,X2),X3)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.148.2.0','0.184.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.505.0.1',plain,
% 11.20/11.66 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.505.0.0','0.148.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.505.1.0',plain,
% 11.20/11.66 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.505.0.1']),
% 11.20/11.66 [weight('<107,184,148,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.505.2.0',plain,
% 11.20/11.66 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.505.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_500]).
% 11.20/11.66 cnf('0.511.0.0',plain,
% 11.20/11.66 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X2,join(complement(X2),X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.191.2.0','0.162.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.511.0.1',plain,
% 11.20/11.66 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X1,X2) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.511.0.0','0.191.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.511.1.0',plain,
% 11.20/11.66 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X1,X2) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.511.0.1']),
% 11.20/11.66 [weight('<107,191,162,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.511.1.1',plain,
% 11.20/11.66 ( meet(X2,join(X1,meet(complement(X2),X3))) = meet(X1,X2) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.511.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.511.2.0',plain,
% 11.20/11.66 ( meet(X1,join(X2,meet(complement(X1),X3))) = meet(X2,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.511.1.1',theory(equality)]),
% 11.20/11.66 [u,rule_506]).
% 11.20/11.66 cnf('0.513.0.0',plain,
% 11.20/11.66 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.505.2.0','0.113.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.513.1.0',plain,
% 11.20/11.66 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.513.0.0']),
% 11.20/11.66 [weight('<107,505,113,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.513.2.0',plain,
% 11.20/11.66 ( join(X1,meet(join(X2,complement(X1)),X3)) = join(X1,X3) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.513.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_508]).
% 11.20/11.66 cnf('0.514.0.0',plain,
% 11.20/11.66 ( meet(meet(join(X1,complement(complement(X2))),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.191.2.0','0.513.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.514.0.1',plain,
% 11.20/11.66 ( meet(meet(join(X1,X2),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.514.0.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1.2','L')]).
% 11.20/11.66 cnf('0.514.0.2',plain,
% 11.20/11.66 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.514.0.1','0.191.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.514.1.0',plain,
% 11.20/11.66 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.514.0.2']),
% 11.20/11.66 [weight('<87,513,191,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.514.1.1',plain,
% 11.20/11.66 ( meet(X2,meet(join(X1,X2),X3)) = meet(X3,X2) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.514.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.514.2.0',plain,
% 11.20/11.66 ( meet(X1,meet(join(X2,X1),X3)) = meet(X3,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.514.1.1',theory(equality)]),
% 11.20/11.66 [u,rule_509]).
% 11.20/11.66 cnf('0.516.0.0',plain,
% 11.20/11.66 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.514.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.516.1.0',plain,
% 11.20/11.66 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.516.0.0']),
% 11.20/11.66 [weight('<87,514,18,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.516.2.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,join(X3,X1))) = meet(X2,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.516.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_511]).
% 11.20/11.66 cnf('0.519.0.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X2,X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.514.2.0','0.83.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.519.1.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X2,X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.519.0.0']),
% 11.20/11.66 [weight('<103,514,83,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.519.2.0',plain,
% 11.20/11.66 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.519.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_514]).
% 11.20/11.66 cnf('0.520.0.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.514.2.0','0.84.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.520.1.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.520.0.0']),
% 11.20/11.66 [weight('<103,514,84,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.520.2.0',plain,
% 11.20/11.66 ( meet(meet(X1,X2),meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.520.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_515]).
% 11.20/11.66 cnf('0.525.0.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.516.2.0','0.83.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.525.1.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.525.0.0']),
% 11.20/11.66 [weight('<103,516,83,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.525.2.0',plain,
% 11.20/11.66 ( meet(meet(X1,X2),meet(X3,X1)) = meet(X3,meet(X1,X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.525.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_520]).
% 11.20/11.66 cnf('0.527.0.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X3,X1),meet(X2,X3)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.520.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.527.1.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X3,X1),meet(X2,X3)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.527.0.0']),
% 11.20/11.66 [weight('<103,520,18,[1,0,0,0]>')]).
% 11.20/11.66 cnf('0.527.1.1',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.527.1.0','0.525.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.527.2.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)) ),
% 11.20/11.66 inference(activate,[status(thm)],['0.527.1.1']),
% 11.20/11.66 [equation_6]).
% 11.20/11.66 cnf('0.528.0.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.527.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.528.1.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.528.0.0']),
% 11.20/11.66 [weight('<65,527,18,[1,0,0,0]>')]).
% 11.20/11.66 cnf('0.528.2.0',plain,
% 11.20/11.66 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.528.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_522]).
% 11.20/11.66 cnf('0.531.0.0',plain,
% 11.20/11.66 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.20/11.66 inference(interreduction_right,[status(thm)],['0.519.2.0'])).
% 11.20/11.66 cnf('0.531.1.0',plain,
% 11.20/11.66 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.531.0.0']),
% 11.20/11.66 [weight('<103,519,527,[0,0,0,0]>')]).
% 11.20/11.66 cnf('0.531.1.1',plain,
% 11.20/11.66 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X3,meet(X1,X2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.531.1.0','0.528.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.531.1.2',plain,
% 11.20/11.66 ( meet(X2,meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.531.1.1','0.483.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.531.2.0',plain,
% 11.20/11.66 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 11.20/11.66 inference(activate,[status(thm)],['0.531.1.2']),
% 11.20/11.66 [equation_7]).
% 11.20/11.66 cnf('0.640.0.0',plain,
% 11.20/11.66 ( zero = meet(complement(complement(composition(X1,converse(complement(X1))))),meet(X2,one)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.313.2.0','0.390.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.640.0.1',plain,
% 11.20/11.66 ( zero = meet(composition(X1,converse(complement(X1))),meet(X2,one)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.640.0.0','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.1','L')]).
% 11.20/11.66 cnf('0.640.1.0',plain,
% 11.20/11.66 ( zero = meet(composition(X1,converse(complement(X1))),meet(X2,one)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.640.0.1']),
% 11.20/11.66 [weight('<109,390,313,[0,0,0,5]>')]).
% 11.20/11.66 cnf('0.640.1.1',plain,
% 11.20/11.66 ( zero = meet(one,meet(X2,composition(X1,converse(complement(X1))))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.640.1.0','0.531.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.640.2.0',plain,
% 11.20/11.66 ( meet(one,meet(X1,composition(X2,converse(complement(X2))))) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.640.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_632]).
% 11.20/11.66 cnf('0.671.0.0',plain,
% 11.20/11.66 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.7.2.0','0.12.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.671.1.0',plain,
% 11.20/11.66 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.671.0.0']),
% 11.20/11.66 [weight('<?,12,7,[0,0,0,4]>')]).
% 11.20/11.66 cnf('0.671.2.0',plain,
% 11.20/11.66 ( join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.671.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_663]).
% 11.20/11.66 cnf('0.742.0.0',plain,
% 11.20/11.66 ( converse(join(composition(X1,top),X2)) = join(composition(top,converse(X1)),converse(X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.9.2.0','0.79.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.742.1.0',plain,
% 11.20/11.66 ( converse(join(composition(X1,top),X2)) = join(composition(top,converse(X1)),converse(X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.742.0.0']),
% 11.20/11.66 [weight('<111,79,9,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.742.2.0',plain,
% 11.20/11.66 ( join(composition(top,converse(X1)),converse(X2)) = converse(join(composition(X1,top),X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.742.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_734]).
% 11.20/11.66 cnf('0.875.0.0',plain,
% 11.20/11.66 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.12.2.0','0.25.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.875.1.0',plain,
% 11.20/11.66 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.875.0.0']),
% 11.20/11.66 [weight('<?,25,12,[0,0,0,3]>')]).
% 11.20/11.66 cnf('0.875.2.0',plain,
% 11.20/11.66 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.875.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_865]).
% 11.20/11.66 cnf('0.882.0.0',plain,
% 11.20/11.66 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.9.2.0','0.28.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.882.1.0',plain,
% 11.20/11.66 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.882.0.0']),
% 11.20/11.66 [weight('<119,28,9,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.882.2.0',plain,
% 11.20/11.66 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.882.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_872]).
% 11.20/11.66 cnf('0.883.0.0',plain,
% 11.20/11.66 ( join(composition(converse(converse(X1)),X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.882.2.0','0.671.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.883.0.1',plain,
% 11.20/11.66 ( join(composition(X1,X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.883.0.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.883.0.2',plain,
% 11.20/11.66 ( join(composition(X1,X2),composition(X1,X3)) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.883.0.1','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.883.0.3',plain,
% 11.20/11.66 ( join(composition(X1,X2),composition(X1,X3)) = composition(converse(converse(X1)),join(X2,converse(converse(X3)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.883.0.2','0.875.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.883.0.4',plain,
% 11.20/11.66 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,converse(converse(X3)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.883.0.3','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.1','L')]).
% 11.20/11.66 cnf('0.883.0.5',plain,
% 11.20/11.66 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.883.0.4','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2.2','L')]).
% 11.20/11.66 cnf('0.883.1.0',plain,
% 11.20/11.66 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.883.0.5']),
% 11.20/11.66 [weight('<103,882,671,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.883.2.0',plain,
% 11.20/11.66 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.883.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_873]).
% 11.20/11.66 cnf('0.887.0.0',plain,
% 11.20/11.66 ( converse(join(X1,composition(converse(X2),X3))) = join(converse(X1),composition(converse(X3),X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.9.2.0','0.28.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.887.1.0',plain,
% 11.20/11.66 ( converse(join(X1,composition(converse(X2),X3))) = join(converse(X1),composition(converse(X3),X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.887.0.0']),
% 11.20/11.66 [weight('<119,28,9,[0,0,0,3]>')]).
% 11.20/11.66 cnf('0.887.2.0',plain,
% 11.20/11.66 ( converse(join(X1,composition(converse(X2),X3))) = join(converse(X1),composition(converse(X3),X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.887.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_877]).
% 11.20/11.66 cnf('0.888.0.0',plain,
% 11.20/11.66 ( join(converse(complement(sk1)),composition(converse(sk3),sk2)) = converse(complement(sk1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.887.2.0','0.234.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.888.1.0',plain,
% 11.20/11.66 ( join(converse(complement(sk1)),composition(converse(sk3),sk2)) = converse(complement(sk1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.888.0.0']),
% 11.20/11.66 [weight('<107,887,234,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.888.2.0',plain,
% 11.20/11.66 ( join(converse(complement(sk1)),composition(converse(sk3),sk2)) = converse(complement(sk1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.888.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_878]).
% 11.20/11.66 cnf('0.889.0.0',plain,
% 11.20/11.66 ( zero = meet(composition(converse(sk3),sk2),complement(converse(complement(sk1)))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.107.2.0','0.888.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.889.0.1',plain,
% 11.20/11.66 ( zero = meet(composition(converse(sk3),sk2),converse(complement(complement(sk1)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.889.0.0','0.218.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.889.0.2',plain,
% 11.20/11.66 ( zero = meet(composition(converse(sk3),sk2),converse(sk1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.889.0.1','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2.1','L')]).
% 11.20/11.66 cnf('0.889.1.0',plain,
% 11.20/11.66 ( zero = meet(composition(converse(sk3),sk2),converse(sk1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.889.0.2']),
% 11.20/11.66 [weight('<71,888,107,[0,0,0,3]>')]).
% 11.20/11.66 cnf('0.889.1.1',plain,
% 11.20/11.66 ( zero = meet(converse(sk1),composition(converse(sk3),sk2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.889.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.889.2.0',plain,
% 11.20/11.66 ( meet(converse(sk1),composition(converse(sk3),sk2)) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.889.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_879]).
% 11.20/11.66 cnf('0.929.0.0',plain,
% 11.20/11.66 ( converse(complement(meet(one,composition(X1,top)))) = complement(meet(one,composition(top,converse(X1)))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.225.2.0','0.79.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.2','L')]).
% 11.20/11.66 cnf('0.929.1.0',plain,
% 11.20/11.66 ( converse(complement(meet(one,composition(X1,top)))) = complement(meet(one,composition(top,converse(X1)))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.929.0.0']),
% 11.20/11.66 [weight('<119,225,79,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.929.2.0',plain,
% 11.20/11.66 ( complement(meet(one,composition(top,converse(X1)))) = converse(complement(meet(one,composition(X1,top)))) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.929.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_919]).
% 11.20/11.66 cnf('0.950.0.0',plain,
% 11.20/11.66 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.12.2.0','0.265.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.950.1.0',plain,
% 11.20/11.66 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.950.0.0']),
% 11.20/11.66 [weight('<119,265,12,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.950.2.0',plain,
% 11.20/11.66 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.950.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_940]).
% 11.20/11.66 cnf('0.951.0.0',plain,
% 11.20/11.66 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.12.2.0','0.265.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.951.1.0',plain,
% 11.20/11.66 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.951.0.0']),
% 11.20/11.66 [weight('<119,265,12,[0,0,0,3]>')]).
% 11.20/11.66 cnf('0.951.2.0',plain,
% 11.20/11.66 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.951.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_941]).
% 11.20/11.66 cnf('0.1016.0.0',plain,
% 11.20/11.66 ( meet(complement(one),composition(X1,converse(complement(X1)))) = meet(composition(X1,converse(complement(X1))),complement(zero)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.213.2.0','0.267.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.1016.0.1',plain,
% 11.20/11.66 ( meet(complement(one),composition(X1,converse(complement(X1)))) = meet(composition(X1,converse(complement(X1))),top) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1016.0.0','0.64.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.1016.0.2',plain,
% 11.20/11.66 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1016.0.1','0.74.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1016.1.0',plain,
% 11.20/11.66 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1016.0.2']),
% 11.20/11.66 [weight('<125,267,213,[0,0,0,3]>')]).
% 11.20/11.66 cnf('0.1016.2.0',plain,
% 11.20/11.66 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1016.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_1004]).
% 11.20/11.66 cnf('0.1033.0.0',plain,
% 11.20/11.66 ( join(complement(composition(converse(sk3),sk2)),converse(sk1)) = join(complement(composition(converse(sk3),sk2)),zero) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.187.2.0','0.889.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1033.0.1',plain,
% 11.20/11.66 ( join(complement(composition(converse(sk3),sk2)),converse(sk1)) = complement(composition(converse(sk3),sk2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1033.0.0','0.66.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1033.1.0',plain,
% 11.20/11.66 ( join(complement(composition(converse(sk3),sk2)),converse(sk1)) = complement(composition(converse(sk3),sk2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1033.0.1']),
% 11.20/11.66 [weight('<125,889,187,[0,0,0,3]>')]).
% 11.20/11.66 cnf('0.1033.1.1',plain,
% 11.20/11.66 ( join(converse(sk1),complement(composition(converse(sk3),sk2))) = complement(composition(converse(sk3),sk2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1033.1.0','0.4.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.1033.2.0',plain,
% 11.20/11.66 ( join(converse(sk1),complement(composition(converse(sk3),sk2))) = complement(composition(converse(sk3),sk2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1033.1.1',theory(equality)]),
% 11.20/11.66 [u,rule_1021]).
% 11.20/11.66 cnf('0.1057.0.0',plain,
% 11.20/11.66 ( composition(X1,X2) = meet(composition(X1,X2),composition(join(X1,X3),X2)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.88.2.0','0.7.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1057.1.0',plain,
% 11.20/11.66 ( composition(X1,X2) = meet(composition(X1,X2),composition(join(X1,X3),X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1057.0.0']),
% 11.20/11.66 [weight('<129,88,7,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.1057.2.0',plain,
% 11.20/11.66 ( meet(composition(X1,X2),composition(join(X1,X3),X2)) = composition(X1,X2) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1057.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1045]).
% 11.20/11.66 cnf('0.1059.0.0',plain,
% 11.20/11.66 ( zero = meet(one,composition(X1,converse(complement(join(X1,X2))))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.640.2.0','0.1057.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1059.1.0',plain,
% 11.20/11.66 ( zero = meet(one,composition(X1,converse(complement(join(X1,X2))))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1059.0.0']),
% 11.20/11.66 [weight('<109,1057,640,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.1059.2.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,converse(complement(join(X1,X2))))) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1059.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1047]).
% 11.20/11.66 cnf('0.1061.0.0',plain,
% 11.20/11.66 ( zero = meet(one,composition(converse(sk1),converse(complement(complement(composition(converse(sk3),sk2)))))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1059.2.0','0.1033.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2.1.1','L')]).
% 11.20/11.66 cnf('0.1061.0.1',plain,
% 11.20/11.66 ( zero = meet(one,converse(composition(complement(complement(composition(converse(sk3),sk2))),sk1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1061.0.0','0.12.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.1061.0.2',plain,
% 11.20/11.66 ( zero = meet(one,converse(composition(composition(converse(sk3),sk2),sk1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1061.0.1','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2.1.1','L')]).
% 11.20/11.66 cnf('0.1061.0.3',plain,
% 11.20/11.66 ( zero = meet(one,converse(composition(converse(sk3),composition(sk2,sk1)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1061.0.2','0.11.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2.1','L')]).
% 11.20/11.66 cnf('0.1061.0.4',plain,
% 11.20/11.66 ( zero = meet(one,composition(converse(composition(sk2,sk1)),sk3)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1061.0.3','0.28.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.1061.1.0',plain,
% 11.20/11.66 ( zero = meet(one,composition(converse(composition(sk2,sk1)),sk3)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1061.0.4']),
% 11.20/11.66 [weight('<89,1059,1033,[1,0,0,6]>')]).
% 11.20/11.66 cnf('0.1061.2.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(composition(sk2,sk1)),sk3)) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1061.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1049]).
% 11.20/11.66 cnf('0.1062.0.0',plain,
% 11.20/11.66 ( meet(one,converse(composition(converse(composition(sk2,sk1)),sk3))) = converse(zero) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.223.2.0','0.1061.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.1062.0.1',plain,
% 11.20/11.66 ( meet(one,composition(converse(sk3),composition(sk2,sk1))) = converse(zero) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1062.0.0','0.28.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1062.0.2',plain,
% 11.20/11.66 ( meet(one,composition(converse(sk3),composition(sk2,sk1))) = zero ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1062.0.1','0.76.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1062.1.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(sk3),composition(sk2,sk1))) = zero ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1062.0.2']),
% 11.20/11.66 [weight('<89,1061,223,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.1062.2.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(sk3),composition(sk2,sk1))) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1062.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_1050]).
% 11.20/11.66 cnf('0.1183.0.0',plain,
% 11.20/11.66 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = join(zero,composition(X2,X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.7.2.0','0.233.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.1183.0.1',plain,
% 11.20/11.66 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1183.0.0','0.63.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1183.1.0',plain,
% 11.20/11.66 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1183.0.1']),
% 11.20/11.66 [weight('<129,233,7,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.1183.2.0',plain,
% 11.20/11.66 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1183.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_1171]).
% 11.20/11.66 cnf('0.1188.0.0',plain,
% 11.20/11.66 ( composition(join(complement(converse(complement(composition(X1,top)))),X2),X1) = composition(top,X1) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1183.2.0','0.87.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.1188.0.1',plain,
% 11.20/11.66 ( composition(join(converse(complement(complement(composition(X1,top)))),X2),X1) = composition(top,X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1188.0.0','0.218.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.1188.0.2',plain,
% 11.20/11.66 ( composition(join(converse(composition(X1,top)),X2),X1) = composition(top,X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1188.0.1','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1.1','L')]).
% 11.20/11.66 cnf('0.1188.0.3',plain,
% 11.20/11.66 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1188.0.2','0.79.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.1188.1.0',plain,
% 11.20/11.66 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1188.0.3']),
% 11.20/11.66 [weight('<107,1183,87,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.1188.2.0',plain,
% 11.20/11.66 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1188.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_1176]).
% 11.20/11.66 cnf('0.1190.0.0',plain,
% 11.20/11.66 ( composition(meet(complement(converse(complement(composition(X1,top)))),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1183.2.0','0.184.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.1190.0.1',plain,
% 11.20/11.66 ( composition(meet(converse(complement(complement(composition(X1,top)))),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1190.0.0','0.218.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.1190.0.2',plain,
% 11.20/11.66 ( composition(meet(converse(composition(X1,top)),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1190.0.1','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1.1','L')]).
% 11.20/11.66 cnf('0.1190.0.3',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1190.0.2','0.79.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.1190.0.4',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1190.0.3','0.1183.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1190.1.0',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1190.0.4']),
% 11.20/11.66 [weight('<107,1183,184,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.1190.2.0',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1190.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_1178]).
% 11.20/11.66 cnf('0.1196.0.0',plain,
% 11.20/11.66 ( composition(top,X1) = composition(converse(join(composition(X1,top),X2)),X1) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1188.2.0','0.742.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.1196.1.0',plain,
% 11.20/11.66 ( composition(top,X1) = composition(converse(join(composition(X1,top),X2)),X1) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1196.0.0']),
% 11.20/11.66 [weight('<107,1188,742,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.1196.2.0',plain,
% 11.20/11.66 ( composition(converse(join(composition(X1,top),X2)),X1) = composition(top,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1196.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1184]).
% 11.20/11.66 cnf('0.1204.0.0',plain,
% 11.20/11.66 ( composition(top,X1) = composition(converse(composition(join(X1,X2),top)),X1) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1196.2.0','0.7.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.1204.0.1',plain,
% 11.20/11.66 ( composition(top,X1) = composition(composition(top,converse(join(X1,X2))),X1) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1204.0.0','0.79.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.1','L')]).
% 11.20/11.66 cnf('0.1204.0.2',plain,
% 11.20/11.66 ( composition(top,X1) = composition(top,composition(converse(join(X1,X2)),X1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1204.0.1','0.11.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1204.1.0',plain,
% 11.20/11.66 ( composition(top,X1) = composition(top,composition(converse(join(X1,X2)),X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1204.0.2']),
% 11.20/11.66 [weight('<107,1196,7,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.1204.2.0',plain,
% 11.20/11.66 ( composition(top,composition(converse(join(X1,X2)),X1)) = composition(top,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1204.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1192]).
% 11.20/11.66 cnf('0.1249.0.0',plain,
% 11.20/11.66 ( composition(converse(X1),meet(converse(composition(top,converse(X1))),X2)) = converse(composition(converse(X2),X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.951.2.0','0.1190.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.1249.0.1',plain,
% 11.20/11.66 ( composition(converse(X1),meet(composition(converse(converse(X1)),top),X2)) = converse(composition(converse(X2),X1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1249.0.0','0.80.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.1249.0.2',plain,
% 11.20/11.66 ( composition(converse(X1),meet(composition(X1,top),X2)) = converse(composition(converse(X2),X1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1249.0.1','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1.1','L')]).
% 11.20/11.66 cnf('0.1249.0.3',plain,
% 11.20/11.66 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1249.0.2','0.28.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1249.1.0',plain,
% 11.20/11.66 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1249.0.3']),
% 11.20/11.66 [weight('<116,1190,951,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.1249.2.0',plain,
% 11.20/11.66 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1249.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_1236]).
% 11.20/11.66 cnf('0.1270.0.0',plain,
% 11.20/11.66 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(X1),meet(X1,X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1204.2.0','0.183.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1.1','L')]).
% 11.20/11.66 cnf('0.1270.1.0',plain,
% 11.20/11.66 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(X1),meet(X1,X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1270.0.0']),
% 11.20/11.66 [weight('<125,1204,183,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.1270.2.0',plain,
% 11.20/11.66 ( composition(top,composition(converse(X1),meet(X1,X2))) = composition(top,meet(X1,X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1270.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1257]).
% 11.20/11.66 cnf('0.1271.0.0',plain,
% 11.20/11.66 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(composition(top,converse(X1)),meet(composition(X1,top),X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1270.2.0','0.79.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.1','L')]).
% 11.20/11.66 cnf('0.1271.0.1',plain,
% 11.20/11.66 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(top,composition(converse(X1),meet(composition(X1,top),X2)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1271.0.0','0.11.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.1271.0.2',plain,
% 11.20/11.66 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),meet(composition(X1,top),X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1271.0.1','0.81.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1271.0.3',plain,
% 11.20/11.66 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1271.0.2','0.1249.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.1271.1.0',plain,
% 11.20/11.66 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1271.0.3']),
% 11.20/11.66 [weight('<111,1270,79,[1,0,0,3]>')]).
% 11.20/11.66 cnf('0.1271.2.0',plain,
% 11.20/11.66 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1271.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_1258]).
% 11.20/11.66 cnf('0.1272.0.0',plain,
% 11.20/11.66 ( composition(top,composition(converse(X1),X2)) = composition(top,meet(X2,composition(X1,top))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1271.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1272.1.0',plain,
% 11.20/11.66 ( composition(top,composition(converse(X1),X2)) = composition(top,meet(X2,composition(X1,top))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1272.0.0']),
% 11.20/11.66 [weight('<111,1271,18,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.1272.2.0',plain,
% 11.20/11.66 ( composition(top,meet(X1,composition(X2,top))) = composition(top,composition(converse(X2),X1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1272.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1259]).
% 11.20/11.66 cnf('0.1275.0.0',plain,
% 11.20/11.66 ( composition(meet(converse(composition(X1,top)),X2),converse(top)) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.950.2.0','0.1271.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.1275.0.1',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),converse(top)) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1275.0.0','0.79.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1','L')]).
% 11.20/11.66 cnf('0.1275.0.2',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),top) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1275.0.1','0.53.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1275.0.3',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(converse(composition(converse(X1),converse(X2))),top) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1275.0.2','0.80.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1275.0.4',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(composition(converse(converse(X2)),X1),top) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1275.0.3','0.28.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.1','L')]).
% 11.20/11.66 cnf('0.1275.0.5',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(converse(converse(X2)),composition(X1,top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1275.0.4','0.11.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1275.0.6',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1275.0.5','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.1','L')]).
% 11.20/11.66 cnf('0.1275.1.0',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1275.0.6']),
% 11.20/11.66 [weight('<125,1271,950,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.1275.2.0',plain,
% 11.20/11.66 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1275.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_1262]).
% 11.20/11.66 cnf('0.1276.0.0',plain,
% 11.20/11.66 ( composition(X1,composition(converse(X2),top)) = composition(meet(composition(top,X2),X1),top) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1275.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1.1.2','L')]).
% 11.20/11.66 cnf('0.1276.1.0',plain,
% 11.20/11.66 ( composition(X1,composition(converse(X2),top)) = composition(meet(composition(top,X2),X1),top) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1276.0.0']),
% 11.20/11.66 [weight('<111,1275,3,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.1276.2.0',plain,
% 11.20/11.66 ( composition(meet(composition(top,X1),X2),top) = composition(X2,composition(converse(X1),top)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1276.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1263]).
% 11.20/11.66 cnf('0.1277.0.0',plain,
% 11.20/11.66 ( composition(X1,composition(converse(X2),top)) = composition(meet(X1,composition(top,X2)),top) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1276.2.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.1277.1.0',plain,
% 11.20/11.66 ( composition(X1,composition(converse(X2),top)) = composition(meet(X1,composition(top,X2)),top) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1277.0.0']),
% 11.20/11.66 [weight('<111,1276,18,[1,0,0,1]>')]).
% 11.20/11.66 cnf('0.1277.2.0',plain,
% 11.20/11.66 ( composition(meet(X1,composition(top,X2)),top) = composition(X1,composition(converse(X2),top)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1277.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1264]).
% 11.20/11.66 cnf('0.1409.0.0',plain,
% 11.20/11.66 ( meet(X1,one) = meet(one,join(X1,composition(X2,converse(complement(X2))))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.511.2.0','0.1016.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.1409.1.0',plain,
% 11.20/11.66 ( meet(X1,one) = meet(one,join(X1,composition(X2,converse(complement(X2))))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1409.0.0']),
% 11.20/11.66 [weight('<129,1016,511,[0,0,0,4]>')]).
% 11.20/11.66 cnf('0.1409.2.0',plain,
% 11.20/11.66 ( meet(one,join(X1,composition(X2,converse(complement(X2))))) = meet(X1,one) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1409.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1396]).
% 11.20/11.66 cnf('0.1608.0.0',plain,
% 11.20/11.66 ( meet(X1,one) = meet(one,composition(X1,join(one,converse(complement(X1))))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1409.2.0','0.446.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1608.1.0',plain,
% 11.20/11.66 ( meet(X1,one) = meet(one,composition(X1,join(one,converse(complement(X1))))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1608.0.0']),
% 11.20/11.66 [weight('<129,1409,446,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.1608.2.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,join(one,converse(complement(X1))))) = meet(X1,one) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1608.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1595]).
% 11.20/11.66 cnf('0.1609.0.0',plain,
% 11.20/11.66 ( 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)))))))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1608.2.0','0.929.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2.2.1','L')]).
% 11.20/11.66 cnf('0.1609.0.1',plain,
% 11.20/11.66 ( 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)))))))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1609.0.0','0.528.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.1609.0.2',plain,
% 11.20/11.66 ( 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)))))))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1609.0.1','0.91.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.1609.0.3',plain,
% 11.20/11.66 ( meet(composition(top,converse(X1)),one) = meet(one,composition(meet(one,composition(top,converse(X1))),join(one,complement(meet(one,composition(X1,top)))))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1609.0.2','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2.2.2','L')]).
% 11.20/11.66 cnf('0.1609.0.4',plain,
% 11.20/11.66 ( meet(composition(top,converse(X1)),one) = meet(one,composition(meet(one,composition(top,converse(X1))),top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1609.0.3','0.100.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2.2','L')]).
% 11.20/11.66 cnf('0.1609.0.5',plain,
% 11.20/11.66 ( meet(composition(top,converse(X1)),one) = meet(one,composition(one,composition(converse(converse(X1)),top))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1609.0.4','0.1277.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.1609.0.6',plain,
% 11.20/11.66 ( meet(composition(top,converse(X1)),one) = meet(one,composition(converse(converse(X1)),top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1609.0.5','0.31.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2','L')]).
% 11.20/11.66 cnf('0.1609.0.7',plain,
% 11.20/11.66 ( meet(composition(top,converse(X1)),one) = meet(one,composition(X1,top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1609.0.6','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('R.2.1','L')]).
% 11.20/11.66 cnf('0.1609.1.0',plain,
% 11.20/11.66 ( meet(composition(top,converse(X1)),one) = meet(one,composition(X1,top)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1609.0.7']),
% 11.20/11.66 [weight('<83,1608,929,[1,0,0,7]>')]).
% 11.20/11.66 cnf('0.1609.1.1',plain,
% 11.20/11.66 ( meet(one,composition(top,converse(X1))) = meet(one,composition(X1,top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1609.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.1609.2.0',plain,
% 11.20/11.66 ( meet(one,composition(top,converse(X1))) = meet(one,composition(X1,top)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1609.1.1',theory(equality)]),
% 11.20/11.66 [u,rule_1596]).
% 11.20/11.66 cnf('0.1610.0.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1609.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.1610.1.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1610.0.0']),
% 11.20/11.66 [weight('<83,1609,3,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.1610.2.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1610.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_1597]).
% 11.20/11.66 cnf('0.1612.0.0',plain,
% 11.20/11.66 ( meet(meet(X1,one),one) = meet(one,composition(meet(X1,one),top)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1608.2.0','0.130.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.1612.0.1',plain,
% 11.20/11.66 ( meet(X1,meet(one,one)) = meet(one,composition(meet(X1,one),top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1612.0.0','0.528.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.1612.0.2',plain,
% 11.20/11.66 ( meet(X1,one) = meet(one,composition(meet(X1,one),top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1612.0.1','0.67.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1612.1.0',plain,
% 11.20/11.66 ( meet(X1,one) = meet(one,composition(meet(X1,one),top)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1612.0.2']),
% 11.20/11.66 [weight('<87,1608,130,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.1612.2.0',plain,
% 11.20/11.66 ( meet(one,composition(meet(X1,one),top)) = meet(X1,one) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1612.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1599]).
% 11.20/11.66 cnf('0.1613.0.0',plain,
% 11.20/11.66 ( meet(one,converse(composition(meet(X1,one),top))) = converse(meet(X1,one)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.223.2.0','0.1612.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.1613.0.1',plain,
% 11.20/11.66 ( meet(one,composition(top,converse(meet(X1,one)))) = converse(meet(X1,one)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1613.0.0','0.79.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1613.0.2',plain,
% 11.20/11.66 ( meet(one,composition(meet(X1,one),top)) = converse(meet(X1,one)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1613.0.1','0.1609.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.1613.0.3',plain,
% 11.20/11.66 ( meet(X1,one) = converse(meet(X1,one)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1613.0.2','0.1612.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.1613.0.4',plain,
% 11.20/11.66 ( meet(X1,one) = meet(one,converse(X1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1613.0.3','0.224.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1613.1.0',plain,
% 11.20/11.66 ( meet(X1,one) = meet(one,converse(X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1613.0.4']),
% 11.20/11.66 [weight('<39,1612,223,[0,0,0,1]>')]).
% 11.20/11.66 cnf('0.1613.2.0',plain,
% 11.20/11.66 ( meet(one,converse(X1)) = meet(X1,one) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1613.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1600]).
% 11.20/11.66 cnf('0.1646.0.0',plain,
% 11.20/11.66 ( composition(top,meet(one,composition(converse(X1),top))) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1270.2.0','0.1610.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.1646.0.1',plain,
% 11.20/11.66 ( composition(top,composition(converse(converse(X1)),one)) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1646.0.0','0.1272.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.1646.0.2',plain,
% 11.20/11.66 ( composition(top,converse(converse(X1))) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1646.0.1','0.2.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1646.0.3',plain,
% 11.20/11.66 ( composition(top,X1) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1646.0.2','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1646.0.4',plain,
% 11.20/11.66 ( composition(top,X1) = composition(top,meet(one,composition(top,X1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1646.0.3','0.1270.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.1646.1.0',plain,
% 11.20/11.66 ( composition(top,X1) = composition(top,meet(one,composition(top,X1))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1646.0.4']),
% 11.20/11.66 [weight('<87,1610,1270,[0,0,0,5]>')]).
% 11.20/11.66 cnf('0.1646.2.0',plain,
% 11.20/11.66 ( composition(top,meet(one,composition(top,X1))) = composition(top,X1) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.1646.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_1633]).
% 11.20/11.66 cnf('0.1668.0.0',plain,
% 11.20/11.66 ( meet(composition(converse(X1),X2),one) = meet(one,composition(converse(X2),X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1613.2.0','0.28.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.1668.1.0',plain,
% 11.20/11.66 ( meet(composition(converse(X1),X2),one) = meet(one,composition(converse(X2),X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.1668.0.0']),
% 11.20/11.66 [weight('<90,1613,28,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.1668.1.1',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X2),X1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.1668.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.1668.2.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X2),X1)) ),
% 11.20/11.66 inference(activate,[status(thm)],['0.1668.1.1']),
% 11.20/11.66 [equation_15]).
% 11.20/11.66 cnf('0.4925.0.0',plain,
% 11.20/11.66 ( meet(composition(X1,X2),one) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1409.2.0','0.883.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.4925.1.0',plain,
% 11.20/11.66 ( meet(composition(X1,X2),one) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.4925.0.0']),
% 11.20/11.66 [weight('<149,1409,883,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.4925.1.1',plain,
% 11.20/11.66 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.4925.1.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.4925.2.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,join(X2,converse(complement(X1))))) = meet(one,composition(X1,X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.4925.1.1',theory(equality)]),
% 11.20/11.66 [x,rule_4899]).
% 11.20/11.66 cnf('0.5438.0.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.4925.2.0','0.4.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.5438.1.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.5438.0.0']),
% 11.20/11.66 [weight('<149,4925,4,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.5438.2.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,join(converse(complement(X1)),X2))) = meet(one,composition(X1,X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.5438.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_5412]).
% 11.20/11.66 cnf('0.5448.0.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,join(X2,complement(converse(complement(X1)))))) = meet(one,composition(X1,top)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.5438.2.0','0.97.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.5448.0.1',plain,
% 11.20/11.66 ( meet(one,composition(X1,join(X2,converse(complement(complement(X1)))))) = meet(one,composition(X1,top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5448.0.0','0.218.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2.2','L')]).
% 11.20/11.66 cnf('0.5448.0.2',plain,
% 11.20/11.66 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5448.0.1','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2.2.1','L')]).
% 11.20/11.66 cnf('0.5448.1.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.5448.0.2']),
% 11.20/11.66 [weight('<125,5438,97,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.5448.2.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.5448.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_5422]).
% 11.20/11.66 cnf('0.5449.0.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,meet(complement(converse(complement(X1))),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.5438.2.0','0.184.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.5449.0.1',plain,
% 11.20/11.66 ( meet(one,composition(X1,meet(converse(complement(complement(X1))),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5449.0.0','0.218.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2.1','L')]).
% 11.20/11.66 cnf('0.5449.0.2',plain,
% 11.20/11.66 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5449.0.1','0.68.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2.1.1','L')]).
% 11.20/11.66 cnf('0.5449.0.3',plain,
% 11.20/11.66 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5449.0.2','0.5438.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.5449.1.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.5449.0.3']),
% 11.20/11.66 [weight('<125,5438,184,[1,0,0,4]>')]).
% 11.20/11.66 cnf('0.5449.2.0',plain,
% 11.20/11.66 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.5449.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_5423]).
% 11.20/11.66 cnf('0.5489.0.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),top)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.5448.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2.2','L')]).
% 11.20/11.66 cnf('0.5489.0.1',plain,
% 11.20/11.66 ( meet(one,composition(top,X1)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5489.0.0','0.1610.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.5489.1.0',plain,
% 11.20/11.66 ( meet(one,composition(top,X1)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.5489.0.1']),
% 11.20/11.66 [weight('<125,5448,3,[1,0,0,6]>')]).
% 11.20/11.66 cnf('0.5489.2.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),join(X2,X1))) = meet(one,composition(top,X1)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.5489.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_5463]).
% 11.20/11.66 cnf('0.5717.0.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.5449.2.0','0.3.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2.1','L')]).
% 11.20/11.66 cnf('0.5717.1.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.5717.0.0']),
% 11.20/11.66 [weight('<134,5449,3,[1,0,0,5]>')]).
% 11.20/11.66 cnf('0.5717.2.0',plain,
% 11.20/11.66 ( meet(one,composition(converse(X1),meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.5717.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_5691]).
% 11.20/11.66 cnf('0.5811.0.0',plain,
% 11.20/11.66 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(meet(X1,X2)),X1)) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.5489.2.0','0.83.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.5811.1.0',plain,
% 11.20/11.66 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(meet(X1,X2)),X1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.5811.0.0']),
% 11.20/11.66 [weight('<143,5489,83,[1,0,0,5]>')]).
% 11.20/11.66 cnf('0.5811.1.1',plain,
% 11.20/11.66 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5811.1.0','0.1668.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.5811.1.2',plain,
% 11.20/11.66 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5811.1.1','0.5717.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.5811.2.0',plain,
% 11.20/11.66 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.5811.1.2',theory(equality)]),
% 11.20/11.66 [u,rule_5785]).
% 11.20/11.66 cnf('0.5813.0.0',plain,
% 11.20/11.66 ( composition(top,meet(one,composition(top,meet(X1,X2)))) = composition(top,composition(converse(one),meet(one,composition(converse(X1),X2)))) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.1270.2.0','0.5811.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2.2','L')]).
% 11.20/11.66 cnf('0.5813.0.1',plain,
% 11.20/11.66 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(one),meet(one,composition(converse(X1),X2)))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5813.0.0','0.1646.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.5813.0.2',plain,
% 11.20/11.66 ( composition(top,meet(X1,X2)) = composition(top,meet(one,composition(converse(X1),X2))) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5813.0.1','0.1270.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.5813.1.0',plain,
% 11.20/11.66 ( composition(top,meet(X1,X2)) = composition(top,meet(one,composition(converse(X1),X2))) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.5813.0.2']),
% 11.20/11.66 [weight('<125,5811,1270,[0,0,0,5]>')]).
% 11.20/11.66 cnf('0.5813.2.0',plain,
% 11.20/11.66 ( composition(top,meet(one,composition(converse(X1),X2))) = composition(top,meet(X1,X2)) ),
% 11.20/11.66 inference(orient,[status(thm)],['0.5813.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_5787]).
% 11.20/11.66 cnf('0.5814.0.0',plain,
% 11.20/11.66 ( composition(top,meet(sk3,composition(sk2,sk1))) = composition(top,zero) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.5813.2.0','0.1062.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.5814.0.1',plain,
% 11.20/11.66 ( composition(top,meet(sk3,composition(sk2,sk1))) = zero ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5814.0.0','0.69.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.5814.1.0',plain,
% 11.20/11.66 ( composition(top,meet(sk3,composition(sk2,sk1))) = zero ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.5814.0.1']),
% 11.20/11.66 [weight('<71,5813,1062,[1,0,0,2]>')]).
% 11.20/11.66 cnf('0.5814.2.0',plain,
% 11.20/11.66 ( composition(top,meet(sk3,composition(sk2,sk1))) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.5814.1.0',theory(equality)]),
% 11.20/11.66 [u,rule_5788]).
% 11.20/11.66 cnf('0.5815.0.0',plain,
% 11.20/11.66 ( composition(join(one,top),meet(sk3,composition(sk2,sk1))) = join(meet(sk3,composition(sk2,sk1)),zero) ),
% 11.20/11.66 inference(cp,[status(thm)],['0.46.2.0','0.5814.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.2','L')]).
% 11.20/11.66 cnf('0.5815.0.1',plain,
% 11.20/11.66 ( composition(top,meet(sk3,composition(sk2,sk1))) = join(meet(sk3,composition(sk2,sk1)),zero) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5815.0.0','0.51.2.0',theory(equality)]),
% 11.20/11.66 [pos('L.1','L')]).
% 11.20/11.66 cnf('0.5815.0.2',plain,
% 11.20/11.66 ( zero = join(meet(sk3,composition(sk2,sk1)),zero) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5815.0.1','0.5814.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('0.5815.0.3',plain,
% 11.20/11.66 ( zero = meet(sk3,composition(sk2,sk1)) ),
% 11.20/11.66 inference(reduction,[status(thm)],['0.5815.0.2','0.66.2.0',theory(equality)]),
% 11.20/11.66 [pos('R','L')]).
% 11.20/11.66 cnf('0.5815.1.0',plain,
% 11.20/11.66 ( zero = meet(sk3,composition(sk2,sk1)) ),
% 11.20/11.66 inference(weigh,[status(thm)],['0.5815.0.3']),
% 11.20/11.66 [weight('<41,5814,46,[0,0,0,2]>')]).
% 11.20/11.66 cnf('0.5815.2.0',plain,
% 11.20/11.66 ( meet(sk3,composition(sk2,sk1)) = zero ),
% 11.20/11.66 inference(orient,[status(thm)],['0.5815.1.0',theory(equality)]),
% 11.20/11.66 [x,rule_5789]).
% 11.20/11.66 cnf('1.0.0.0',conjecture,
% 11.20/11.66 ( meet(composition(sk2,sk1),sk3) = zero ),
% 11.20/11.66 file('/tmp/WALDMEISTER_6570_n003',conjecture_1)).
% 11.20/11.66 cnf('1.0.0.1',plain,
% 11.20/11.66 ( meet(sk3,composition(sk2,sk1)) = zero ),
% 11.20/11.66 inference(reduction,[status(thm)],['1.0.0.0','0.18.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('1.0.0.2',plain,
% 11.20/11.66 ( zero = zero ),
% 11.20/11.66 inference(reduction,[status(thm)],['1.0.0.1','0.5815.2.0',theory(equality)]),
% 11.20/11.66 [pos('L','L')]).
% 11.20/11.66 cnf('1.0.0.3',plain,
% 11.20/11.66 ( $true ),
% 11.20/11.66 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 11.20/11.66 [conjecture_1]).
% 11.20/11.66
% 11.20/11.66 Proved Goals:
% 11.20/11.66 No. 1: meet(composition(sk2,sk1),sk3) ?= zero joined, current: zero = zero
% 11.20/11.66 1 goal was specified, which was proved.
% 11.20/11.66 % SZS output end CNFRefutation
% 11.20/11.66 #END OF PROOF
% 11.20/11.66
% 11.20/11.66 Problem WALDMEISTER_6570_n003
% 11.20/11.66 CPs.gen 4563525
% 11.20/11.66 CPs.reexp 0
% 11.20/11.66 Select 223213
% 11.20/11.66 R 5789
% 11.20/11.66 E 26
% 11.20/11.66 vsize 11.9M
% 11.20/11.66 rss 7.5M
% 11.20/11.66 process.time 10.635s
% 11.20/11.66 wallclock.time 10.635s
% 11.20/11.66 status S
% 11.20/11.66
% 11.20/11.66
% 11.20/11.66 Waldmeister states: Goal proved.
% 11.20/11.66 % SZS status Unsatisfiable
%------------------------------------------------------------------------------