TSTP Solution File: REL010-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL010-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n012.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 20:09:38 EDT 2022
% Result : Unsatisfiable 11.08s 11.47s
% Output : CNFRefutation 11.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : REL010-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 14:43:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) meet(sk2,composition(converse(sk1),sk3)) ?=? zero
% 0.57/0.96
% 0.57/0.96 Detected structure: Orkus
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 11.08/11.47 joined goal: 1 meet(sk2,composition(converse(sk1),sk3)) ?= zero to zero
% 11.08/11.47 goal joined
% 11.08/11.47 % SZS status Unsatisfiable
% 11.08/11.47 #START OF PROOF
% 11.08/11.47 % SZS output start CNFRefutation
% 11.08/11.47 cnf('0.1.0.0',axiom,
% 11.08/11.47 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.1.1.0',plain,
% 11.08/11.47 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1.0.0']),
% 11.08/11.47 [weight('<0,0,0,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.1.2.0',plain,
% 11.08/11.47 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_1]).
% 11.08/11.47 cnf('0.2.0.0',axiom,
% 11.08/11.47 ( X1 = composition(X1,one) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.2.1.0',plain,
% 11.08/11.47 ( X1 = composition(X1,one) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.2.0.0']),
% 11.08/11.47 [weight('<1,0,0,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.2.2.0',plain,
% 11.08/11.47 ( composition(X1,one) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_2]).
% 11.08/11.47 cnf('0.3.0.0',axiom,
% 11.08/11.47 ( X1 = converse(converse(X1)) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.3.1.0',plain,
% 11.08/11.47 ( X1 = converse(converse(X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.3.0.0']),
% 11.08/11.47 [weight('<2,0,0,[0,0,0,3]>')]).
% 11.08/11.47 cnf('0.3.2.0',plain,
% 11.08/11.47 ( converse(converse(X1)) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_3]).
% 11.08/11.47 cnf('0.4.0.0',axiom,
% 11.08/11.47 ( join(X1,X2) = join(X2,X1) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.4.1.0',plain,
% 11.08/11.47 ( join(X1,X2) = join(X2,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.4.0.0']),
% 11.08/11.47 [weight('<3,0,0,[0,0,0,4]>')]).
% 11.08/11.47 cnf('0.4.2.0',plain,
% 11.08/11.47 ( join(X1,X2) = join(X2,X1) ),
% 11.08/11.47 inference(activate,[status(thm)],['0.4.1.0']),
% 11.08/11.47 [equation_1]).
% 11.08/11.47 cnf('0.5.0.0',axiom,
% 11.08/11.47 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.5.1.0',plain,
% 11.08/11.47 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.5.0.0']),
% 11.08/11.47 [weight('<4,0,0,[0,0,0,5]>')]).
% 11.08/11.47 cnf('0.5.2.0',plain,
% 11.08/11.47 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_4]).
% 11.08/11.47 cnf('0.6.0.0',axiom,
% 11.08/11.47 ( join(X1,complement(X1)) = top ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.6.1.0',plain,
% 11.08/11.47 ( join(X1,complement(X1)) = top ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.6.0.0']),
% 11.08/11.47 [weight('<5,0,0,[0,0,0,6]>')]).
% 11.08/11.47 cnf('0.6.2.0',plain,
% 11.08/11.47 ( join(X1,complement(X1)) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_5]).
% 11.08/11.47 cnf('0.7.0.0',axiom,
% 11.08/11.47 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.7.1.0',plain,
% 11.08/11.47 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.7.0.0']),
% 11.08/11.47 [weight('<6,0,0,[0,0,0,7]>')]).
% 11.08/11.47 cnf('0.7.2.0',plain,
% 11.08/11.47 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_6]).
% 11.08/11.47 cnf('0.8.0.0',axiom,
% 11.08/11.47 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.8.1.0',plain,
% 11.08/11.47 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.8.0.0']),
% 11.08/11.47 [weight('<7,0,0,[0,0,0,8]>')]).
% 11.08/11.47 cnf('0.8.1.1',plain,
% 11.08/11.47 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.8.2.0',plain,
% 11.08/11.47 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 11.08/11.47 [u,rule_7]).
% 11.08/11.47 cnf('0.9.0.0',axiom,
% 11.08/11.47 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.9.1.0',plain,
% 11.08/11.47 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.9.0.0']),
% 11.08/11.47 [weight('<8,0,0,[0,0,0,9]>')]).
% 11.08/11.47 cnf('0.9.2.0',plain,
% 11.08/11.47 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_8]).
% 11.08/11.47 cnf('0.10.0.0',axiom,
% 11.08/11.47 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.10.1.0',plain,
% 11.08/11.47 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.10.0.0']),
% 11.08/11.47 [weight('<9,0,0,[0,0,0,10]>')]).
% 11.08/11.47 cnf('0.10.2.0',plain,
% 11.08/11.47 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_9]).
% 11.08/11.47 cnf('0.11.0.0',axiom,
% 11.08/11.47 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.11.1.0',plain,
% 11.08/11.47 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.11.0.0']),
% 11.08/11.47 [weight('<10,0,0,[0,0,0,11]>')]).
% 11.08/11.47 cnf('0.11.2.0',plain,
% 11.08/11.47 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_10]).
% 11.08/11.47 cnf('0.12.0.0',axiom,
% 11.08/11.47 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.12.1.0',plain,
% 11.08/11.47 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.12.0.0']),
% 11.08/11.47 [weight('<11,0,0,[0,0,0,12]>')]).
% 11.08/11.47 cnf('0.12.2.0',plain,
% 11.08/11.47 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_11]).
% 11.08/11.47 cnf('0.13.0.0',axiom,
% 11.08/11.47 ( meet(X1,complement(X1)) = zero ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.13.1.0',plain,
% 11.08/11.47 ( meet(X1,complement(X1)) = zero ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.13.0.0']),
% 11.08/11.47 [weight('<12,0,0,[0,0,0,13]>')]).
% 11.08/11.47 cnf('0.13.2.0',plain,
% 11.08/11.47 ( meet(X1,complement(X1)) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_12]).
% 11.08/11.47 cnf('0.14.0.0',axiom,
% 11.08/11.47 ( meet(composition(sk1,sk2),sk3) = zero ),
% 11.08/11.47 file('/tmp/WALDMEISTER_22213_n012')).
% 11.08/11.47 cnf('0.14.1.0',plain,
% 11.08/11.47 ( meet(composition(sk1,sk2),sk3) = zero ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.14.0.0']),
% 11.08/11.47 [weight('<13,0,0,[0,0,0,14]>')]).
% 11.08/11.47 cnf('0.14.2.0',plain,
% 11.08/11.47 ( meet(composition(sk1,sk2),sk3) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_13]).
% 11.08/11.47 cnf('0.15.0.0',plain,
% 11.08/11.47 ( meet(X1,complement(X1)) = complement(top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.10.2.0','0.6.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.15.1.0',plain,
% 11.08/11.47 ( meet(X1,complement(X1)) = complement(top) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.15.0.0']),
% 11.08/11.47 [weight('<34,10,6,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.15.1.1',plain,
% 11.08/11.47 ( zero = complement(top) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.15.1.0','0.13.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.15.2.0',plain,
% 11.08/11.47 ( complement(top) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.15.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_14]).
% 11.08/11.47 cnf('0.18.0.0',plain,
% 11.08/11.47 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.10.2.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.18.0.1',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(X2,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.18.0.0','0.10.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.18.1.0',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(X2,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.18.0.1']),
% 11.08/11.47 [weight('<48,10,4,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.18.2.0',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(X2,X1) ),
% 11.08/11.47 inference(activate,[status(thm)],['0.18.1.0']),
% 11.08/11.47 [equation_2]).
% 11.08/11.47 cnf('0.19.0.0',plain,
% 11.08/11.47 ( meet(composition(sk1,sk2),sk3) = zero ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.14.2.0'])).
% 11.08/11.47 cnf('0.19.1.0',plain,
% 11.08/11.47 ( meet(composition(sk1,sk2),sk3) = zero ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.19.0.0']),
% 11.08/11.47 [weight('<41,14,18,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.19.1.1',plain,
% 11.08/11.47 ( meet(sk3,composition(sk1,sk2)) = zero ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.19.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.19.2.0',plain,
% 11.08/11.47 ( meet(sk3,composition(sk1,sk2)) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 11.08/11.47 [u,rule_17]).
% 11.08/11.47 cnf('0.21.0.0',plain,
% 11.08/11.47 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.10.2.0','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.21.1.0',plain,
% 11.08/11.47 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.21.0.0']),
% 11.08/11.47 [weight('<53,15,10,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.21.2.0',plain,
% 11.08/11.47 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_19]).
% 11.08/11.47 cnf('0.26.0.0',plain,
% 11.08/11.47 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.26.1.0',plain,
% 11.08/11.47 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.26.0.0']),
% 11.08/11.47 [weight('<59,9,3,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.26.2.0',plain,
% 11.08/11.47 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_24]).
% 11.08/11.47 cnf('0.27.0.0',plain,
% 11.08/11.47 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.27.1.0',plain,
% 11.08/11.47 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.27.0.0']),
% 11.08/11.47 [weight('<59,9,3,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.27.2.0',plain,
% 11.08/11.47 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_25]).
% 11.08/11.47 cnf('0.28.0.0',plain,
% 11.08/11.47 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.28.1.0',plain,
% 11.08/11.47 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.28.0.0']),
% 11.08/11.47 [weight('<59,12,3,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.28.2.0',plain,
% 11.08/11.47 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_26]).
% 11.08/11.47 cnf('0.29.0.0',plain,
% 11.08/11.47 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.29.1.0',plain,
% 11.08/11.47 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.29.0.0']),
% 11.08/11.47 [weight('<59,12,3,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.29.2.0',plain,
% 11.08/11.47 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_27]).
% 11.08/11.47 cnf('0.30.0.0',plain,
% 11.08/11.47 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.29.2.0','0.2.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.30.0.1',plain,
% 11.08/11.47 ( composition(converse(one),X1) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.30.0.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.30.1.0',plain,
% 11.08/11.47 ( composition(converse(one),X1) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.30.0.1']),
% 11.08/11.47 [weight('<29,29,2,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.30.2.0',plain,
% 11.08/11.47 ( composition(converse(one),X1) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_28]).
% 11.08/11.47 cnf('0.31.0.0',plain,
% 11.08/11.47 ( one = converse(one) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.30.2.0','0.2.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.31.1.0',plain,
% 11.08/11.47 ( one = converse(one) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.31.0.0']),
% 11.08/11.47 [weight('<11,30,2,[1,0,0,0]>')]).
% 11.08/11.47 cnf('0.31.2.0',plain,
% 11.08/11.47 ( converse(one) = one ),
% 11.08/11.47 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_29]).
% 11.08/11.47 cnf('0.32.0.0',plain,
% 11.08/11.47 ( composition(converse(one),X1) = X1 ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 11.08/11.47 cnf('0.32.0.1',plain,
% 11.08/11.47 ( composition(one,X1) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.32.0.0','0.31.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.32.1.0',plain,
% 11.08/11.47 ( composition(one,X1) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.32.0.1']),
% 11.08/11.47 [weight('<19,30,31,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.32.2.0',plain,
% 11.08/11.47 ( composition(one,X1) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_30]).
% 11.08/11.47 cnf('0.33.0.0',plain,
% 11.08/11.47 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.9.2.0','0.31.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.33.1.0',plain,
% 11.08/11.47 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.33.0.0']),
% 11.08/11.47 [weight('<44,31,9,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.33.2.0',plain,
% 11.08/11.47 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_31]).
% 11.08/11.47 cnf('0.35.0.0',plain,
% 11.08/11.47 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.8.2.0','0.32.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2.1','L')]).
% 11.08/11.47 cnf('0.35.0.1',plain,
% 11.08/11.47 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.35.0.0','0.31.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2.1','L')]).
% 11.08/11.47 cnf('0.35.0.2',plain,
% 11.08/11.47 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.35.0.1','0.32.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.35.1.0',plain,
% 11.08/11.47 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.35.0.2']),
% 11.08/11.47 [weight('<47,32,8,[0,0,0,7]>')]).
% 11.08/11.47 cnf('0.35.2.0',plain,
% 11.08/11.47 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_33]).
% 11.08/11.47 cnf('0.36.0.0',plain,
% 11.08/11.47 ( complement(top) = join(zero,complement(top)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.35.2.0','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.36.0.1',plain,
% 11.08/11.47 ( zero = join(zero,complement(top)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.36.0.0','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.36.0.2',plain,
% 11.08/11.47 ( zero = join(zero,zero) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.36.0.1','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.36.1.0',plain,
% 11.08/11.47 ( zero = join(zero,zero) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.36.0.2']),
% 11.08/11.47 [weight('<19,35,15,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.36.2.0',plain,
% 11.08/11.47 ( join(zero,zero) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_34]).
% 11.08/11.47 cnf('0.39.0.0',plain,
% 11.08/11.47 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.10.2.0','0.35.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.39.1.0',plain,
% 11.08/11.47 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.39.0.0']),
% 11.08/11.47 [weight('<48,35,10,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.39.2.0',plain,
% 11.08/11.47 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.08/11.47 inference(activate,[status(thm)],['0.39.1.0']),
% 11.08/11.47 [equation_3]).
% 11.08/11.47 cnf('0.40.0.0',plain,
% 11.08/11.47 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.5.2.0','0.36.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.40.1.0',plain,
% 11.08/11.47 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.40.0.0']),
% 11.08/11.47 [weight('<53,36,5,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.40.2.0',plain,
% 11.08/11.47 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_37]).
% 11.08/11.47 cnf('0.41.0.0',plain,
% 11.08/11.47 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.40.2.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.41.1.0',plain,
% 11.08/11.47 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.41.0.0']),
% 11.08/11.47 [weight('<53,40,4,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.41.2.0',plain,
% 11.08/11.47 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_38]).
% 11.08/11.47 cnf('0.44.0.0',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.26.2.0','0.6.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.44.1.0',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.44.0.0']),
% 11.08/11.47 [weight('<62,26,6,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.44.2.0',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_41]).
% 11.08/11.47 cnf('0.47.0.0',plain,
% 11.08/11.47 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.7.2.0','0.32.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.47.1.0',plain,
% 11.08/11.47 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.47.0.0']),
% 11.08/11.47 [weight('<65,32,7,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.47.2.0',plain,
% 11.08/11.47 ( join(X1,composition(X2,X1)) = composition(join(one,X2),X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_44]).
% 11.08/11.47 cnf('0.48.0.0',plain,
% 11.08/11.47 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.48.1.0',plain,
% 11.08/11.47 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.48.0.0']),
% 11.08/11.47 [weight('<69,6,5,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.48.2.0',plain,
% 11.08/11.47 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_45]).
% 11.08/11.47 cnf('0.49.0.0',plain,
% 11.08/11.47 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.48.2.0','0.35.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.49.0.1',plain,
% 11.08/11.47 ( join(top,complement(X1)) = top ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.49.0.0','0.6.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.49.1.0',plain,
% 11.08/11.47 ( join(top,complement(X1)) = top ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.49.0.1']),
% 11.08/11.47 [weight('<29,48,35,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.49.2.0',plain,
% 11.08/11.47 ( join(top,complement(X1)) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_46]).
% 11.08/11.47 cnf('0.52.0.0',plain,
% 11.08/11.47 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.48.2.0','0.6.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.52.1.0',plain,
% 11.08/11.47 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.52.0.0']),
% 11.08/11.47 [weight('<53,48,6,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.52.1.1',plain,
% 11.08/11.47 ( top = join(X1,top) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.52.1.0','0.49.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.52.2.0',plain,
% 11.08/11.47 ( join(X1,top) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.52.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_49]).
% 11.08/11.47 cnf('0.53.0.0',plain,
% 11.08/11.47 ( top = join(top,X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.52.2.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.53.1.0',plain,
% 11.08/11.47 ( top = join(top,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.53.0.0']),
% 11.08/11.47 [weight('<19,52,4,[1,0,0,0]>')]).
% 11.08/11.47 cnf('0.53.2.0',plain,
% 11.08/11.47 ( join(top,X1) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_50]).
% 11.08/11.47 cnf('0.54.0.0',plain,
% 11.08/11.47 ( top = converse(top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.53.2.0','0.44.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.54.1.0',plain,
% 11.08/11.47 ( top = converse(top) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.54.0.0']),
% 11.08/11.47 [weight('<11,53,44,[1,0,0,0]>')]).
% 11.08/11.47 cnf('0.54.2.0',plain,
% 11.08/11.47 ( converse(top) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_51]).
% 11.08/11.47 cnf('0.56.0.0',plain,
% 11.08/11.47 ( top = composition(join(one,X1),top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.53.2.0','0.47.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.56.1.0',plain,
% 11.08/11.47 ( top = composition(join(one,X1),top) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.56.0.0']),
% 11.08/11.47 [weight('<41,53,47,[1,0,0,0]>')]).
% 11.08/11.47 cnf('0.56.2.0',plain,
% 11.08/11.47 ( composition(join(one,X1),top) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_53]).
% 11.08/11.47 cnf('0.57.0.0',plain,
% 11.08/11.47 ( top = composition(top,top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.56.2.0','0.6.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.57.1.0',plain,
% 11.08/11.47 ( top = composition(top,top) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.57.0.0']),
% 11.08/11.47 [weight('<19,56,6,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.57.2.0',plain,
% 11.08/11.47 ( composition(top,top) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_54]).
% 11.08/11.47 cnf('0.58.0.0',plain,
% 11.08/11.47 ( complement(top) = join(complement(top),composition(converse(top),complement(top))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.8.2.0','0.57.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2.1','L')]).
% 11.08/11.47 cnf('0.58.0.1',plain,
% 11.08/11.47 ( zero = join(complement(top),composition(converse(top),complement(top))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.58.0.0','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.58.0.2',plain,
% 11.08/11.47 ( zero = composition(join(one,converse(top)),complement(top)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.58.0.1','0.47.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.58.0.3',plain,
% 11.08/11.47 ( zero = composition(join(one,top),complement(top)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.58.0.2','0.54.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.1.2','L')]).
% 11.08/11.47 cnf('0.58.0.4',plain,
% 11.08/11.47 ( zero = composition(top,complement(top)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.58.0.3','0.52.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.1','L')]).
% 11.08/11.47 cnf('0.58.0.5',plain,
% 11.08/11.47 ( zero = composition(top,zero) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.58.0.4','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.58.1.0',plain,
% 11.08/11.47 ( zero = composition(top,zero) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.58.0.5']),
% 11.08/11.47 [weight('<19,57,8,[0,0,0,7]>')]).
% 11.08/11.47 cnf('0.58.2.0',plain,
% 11.08/11.47 ( composition(top,zero) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_55]).
% 11.08/11.47 cnf('0.59.0.0',plain,
% 11.08/11.47 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 11.08/11.47 cnf('0.59.1.0',plain,
% 11.08/11.47 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.59.0.0']),
% 11.08/11.47 [weight('<?,1,4,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.59.1.1',plain,
% 11.08/11.47 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.59.1.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.59.1.2',plain,
% 11.08/11.47 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.59.1.1','0.10.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.59.1.3',plain,
% 11.08/11.47 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.59.1.2','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.59.2.0',plain,
% 11.08/11.47 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.59.1.3',theory(equality)]),
% 11.08/11.47 [u,rule_56]).
% 11.08/11.47 cnf('0.62.0.0',plain,
% 11.08/11.47 ( composition(join(top,X1),zero) = join(zero,composition(X1,zero)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.7.2.0','0.58.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.62.0.1',plain,
% 11.08/11.47 ( composition(top,zero) = join(zero,composition(X1,zero)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.62.0.0','0.53.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.62.0.2',plain,
% 11.08/11.47 ( zero = join(zero,composition(X1,zero)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.62.0.1','0.58.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.62.0.3',plain,
% 11.08/11.47 ( zero = composition(join(one,X1),zero) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.62.0.2','0.47.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.62.1.0',plain,
% 11.08/11.47 ( zero = composition(join(one,X1),zero) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.62.0.3']),
% 11.08/11.47 [weight('<41,58,7,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.62.2.0',plain,
% 11.08/11.47 ( composition(join(one,X1),zero) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_59]).
% 11.08/11.47 cnf('0.63.0.0',plain,
% 11.08/11.47 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.59.2.0','0.13.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.63.0.1',plain,
% 11.08/11.47 ( X1 = join(zero,meet(X1,X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.63.0.0','0.10.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.63.1.0',plain,
% 11.08/11.47 ( X1 = join(zero,meet(X1,X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.63.0.1']),
% 11.08/11.47 [weight('<41,59,13,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.63.2.0',plain,
% 11.08/11.47 ( join(zero,meet(X1,X1)) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_60]).
% 11.08/11.47 cnf('0.64.0.0',plain,
% 11.08/11.47 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.40.2.0','0.63.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.64.0.1',plain,
% 11.08/11.47 ( X1 = join(zero,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.64.0.0','0.63.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.64.1.0',plain,
% 11.08/11.47 ( X1 = join(zero,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.64.0.1']),
% 11.08/11.47 [weight('<19,63,40,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.64.2.0',plain,
% 11.08/11.47 ( join(zero,X1) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_61]).
% 11.08/11.47 cnf('0.65.0.0',plain,
% 11.08/11.47 ( complement(zero) = top ),
% 11.08/11.47 inference(cp,[status(thm)],['0.64.2.0','0.6.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.65.1.0',plain,
% 11.08/11.47 ( complement(zero) = top ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.65.0.0']),
% 11.08/11.47 [weight('<11,64,6,[1,0,0,0]>')]).
% 11.08/11.47 cnf('0.65.2.0',plain,
% 11.08/11.47 ( complement(zero) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_62]).
% 11.08/11.47 cnf('0.67.0.0',plain,
% 11.08/11.47 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 11.08/11.47 cnf('0.67.0.1',plain,
% 11.08/11.47 ( join(X1,zero) = join(zero,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.67.0.0','0.64.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.67.0.2',plain,
% 11.08/11.47 ( join(X1,zero) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.67.0.1','0.64.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.67.1.0',plain,
% 11.08/11.47 ( join(X1,zero) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.67.0.2']),
% 11.08/11.47 [weight('<19,41,64,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.67.2.0',plain,
% 11.08/11.47 ( join(X1,zero) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_64]).
% 11.08/11.47 cnf('0.68.0.0',plain,
% 11.08/11.47 ( join(zero,meet(X1,X1)) = X1 ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.63.2.0'])).
% 11.08/11.47 cnf('0.68.0.1',plain,
% 11.08/11.47 ( meet(X1,X1) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.68.0.0','0.64.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.68.1.0',plain,
% 11.08/11.47 ( meet(X1,X1) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.68.0.1']),
% 11.08/11.47 [weight('<19,63,64,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.68.2.0',plain,
% 11.08/11.47 ( meet(X1,X1) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_65]).
% 11.08/11.47 cnf('0.69.0.0',plain,
% 11.08/11.47 ( meet(X1,X1) = complement(complement(X1)) ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.39.2.0'])).
% 11.08/11.47 cnf('0.69.0.1',plain,
% 11.08/11.47 ( X1 = complement(complement(X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.69.0.0','0.68.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.69.1.0',plain,
% 11.08/11.47 ( X1 = complement(complement(X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.69.0.1']),
% 11.08/11.47 [weight('<19,39,68,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.69.2.0',plain,
% 11.08/11.47 ( complement(complement(X1)) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_66]).
% 11.08/11.47 cnf('0.70.0.0',plain,
% 11.08/11.47 ( composition(X1,zero) = composition(join(one,X1),zero) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.64.2.0','0.47.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.70.0.1',plain,
% 11.08/11.47 ( composition(X1,zero) = zero ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.70.0.0','0.62.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.70.1.0',plain,
% 11.08/11.47 ( composition(X1,zero) = zero ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.70.0.1']),
% 11.08/11.47 [weight('<19,64,47,[1,0,0,0]>')]).
% 11.08/11.47 cnf('0.70.2.0',plain,
% 11.08/11.47 ( composition(X1,zero) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_67]).
% 11.08/11.47 cnf('0.72.0.0',plain,
% 11.08/11.47 ( meet(X1,zero) = complement(join(complement(X1),top)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.10.2.0','0.65.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.2','L')]).
% 11.08/11.47 cnf('0.72.0.1',plain,
% 11.08/11.47 ( meet(X1,zero) = complement(top) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.72.0.0','0.52.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.1','L')]).
% 11.08/11.47 cnf('0.72.0.2',plain,
% 11.08/11.47 ( meet(X1,zero) = zero ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.72.0.1','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.72.1.0',plain,
% 11.08/11.47 ( meet(X1,zero) = zero ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.72.0.2']),
% 11.08/11.47 [weight('<19,65,10,[0,0,0,4]>')]).
% 11.08/11.47 cnf('0.72.2.0',plain,
% 11.08/11.47 ( meet(X1,zero) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_69]).
% 11.08/11.47 cnf('0.73.0.0',plain,
% 11.08/11.47 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.35.2.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.73.0.1',plain,
% 11.08/11.47 ( X1 = join(X1,complement(complement(X1))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.73.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.73.0.2',plain,
% 11.08/11.47 ( X1 = join(X1,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.73.0.1','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.73.1.0',plain,
% 11.08/11.47 ( X1 = join(X1,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.73.0.2']),
% 11.08/11.47 [weight('<19,69,35,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.73.2.0',plain,
% 11.08/11.47 ( join(X1,X1) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_70]).
% 11.08/11.47 cnf('0.74.0.0',plain,
% 11.08/11.47 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 11.08/11.47 cnf('0.74.0.1',plain,
% 11.08/11.47 ( complement(complement(X1)) = meet(top,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.74.0.0','0.64.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.74.1.0',plain,
% 11.08/11.47 ( complement(complement(X1)) = meet(top,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.74.0.1']),
% 11.08/11.47 [weight('<27,21,64,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.74.1.1',plain,
% 11.08/11.47 ( X1 = meet(top,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.74.1.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.74.2.0',plain,
% 11.08/11.47 ( meet(top,X1) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.74.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_71]).
% 11.08/11.47 cnf('0.75.0.0',plain,
% 11.08/11.47 ( X1 = meet(X1,top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.74.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.75.1.0',plain,
% 11.08/11.47 ( X1 = meet(X1,top) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.75.0.0']),
% 11.08/11.47 [weight('<19,74,18,[1,0,0,0]>')]).
% 11.08/11.47 cnf('0.75.2.0',plain,
% 11.08/11.47 ( meet(X1,top) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_72]).
% 11.08/11.47 cnf('0.76.0.0',plain,
% 11.08/11.47 ( join(converse(zero),X1) = converse(converse(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.27.2.0','0.64.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.76.0.1',plain,
% 11.08/11.47 ( join(converse(zero),X1) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.76.0.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.76.1.0',plain,
% 11.08/11.47 ( join(converse(zero),X1) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.76.0.1']),
% 11.08/11.47 [weight('<29,64,27,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.76.2.0',plain,
% 11.08/11.47 ( join(converse(zero),X1) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_73]).
% 11.08/11.47 cnf('0.77.0.0',plain,
% 11.08/11.47 ( zero = converse(zero) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.76.2.0','0.67.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.77.1.0',plain,
% 11.08/11.47 ( zero = converse(zero) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.77.0.0']),
% 11.08/11.47 [weight('<11,76,67,[1,0,0,0]>')]).
% 11.08/11.47 cnf('0.77.2.0',plain,
% 11.08/11.47 ( converse(zero) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_74]).
% 11.08/11.47 cnf('0.80.0.0',plain,
% 11.08/11.47 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.12.2.0','0.54.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.80.1.0',plain,
% 11.08/11.47 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.80.0.0']),
% 11.08/11.47 [weight('<44,54,12,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.80.2.0',plain,
% 11.08/11.47 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_77]).
% 11.08/11.47 cnf('0.81.0.0',plain,
% 11.08/11.47 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.12.2.0','0.54.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.81.1.0',plain,
% 11.08/11.47 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.81.0.0']),
% 11.08/11.47 [weight('<44,54,12,[0,0,0,3]>')]).
% 11.08/11.47 cnf('0.81.2.0',plain,
% 11.08/11.47 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_78]).
% 11.08/11.47 cnf('0.82.0.0',plain,
% 11.08/11.47 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.11.2.0','0.57.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.82.1.0',plain,
% 11.08/11.47 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.82.0.0']),
% 11.08/11.47 [weight('<53,57,11,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.82.2.0',plain,
% 11.08/11.47 ( composition(top,composition(top,X1)) = composition(top,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_79]).
% 11.08/11.47 cnf('0.83.0.0',plain,
% 11.08/11.47 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.5.2.0','0.73.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.83.1.0',plain,
% 11.08/11.47 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.83.0.0']),
% 11.08/11.47 [weight('<53,73,5,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.83.2.0',plain,
% 11.08/11.47 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_80]).
% 11.08/11.47 cnf('0.84.0.0',plain,
% 11.08/11.47 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.83.2.0','0.59.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.84.0.1',plain,
% 11.08/11.47 ( X1 = join(meet(X1,X2),X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.84.0.0','0.59.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.84.1.0',plain,
% 11.08/11.47 ( X1 = join(meet(X1,X2),X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.84.0.1']),
% 11.08/11.47 [weight('<41,83,59,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.84.1.1',plain,
% 11.08/11.47 ( X1 = join(X1,meet(X1,X2)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.84.1.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.84.2.0',plain,
% 11.08/11.47 ( join(X1,meet(X1,X2)) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.84.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_81]).
% 11.08/11.47 cnf('0.85.0.0',plain,
% 11.08/11.47 ( X1 = join(X1,meet(X2,X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.84.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.85.1.0',plain,
% 11.08/11.47 ( X1 = join(X1,meet(X2,X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.85.0.0']),
% 11.08/11.47 [weight('<41,84,18,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.85.2.0',plain,
% 11.08/11.47 ( join(X1,meet(X2,X1)) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_82]).
% 11.08/11.47 cnf('0.86.0.0',plain,
% 11.08/11.47 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.83.2.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.86.1.0',plain,
% 11.08/11.47 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.86.0.0']),
% 11.08/11.47 [weight('<53,83,4,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.86.2.0',plain,
% 11.08/11.47 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_83]).
% 11.08/11.47 cnf('0.87.0.0',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.44.2.0'])).
% 11.08/11.47 cnf('0.87.0.1',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(X1)))) = top ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.87.0.0','0.54.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.87.1.0',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(X1)))) = top ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.87.0.1']),
% 11.08/11.47 [weight('<55,44,54,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.87.2.0',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(X1)))) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_84]).
% 11.08/11.47 cnf('0.88.0.0',plain,
% 11.08/11.47 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.48.2.0'])).
% 11.08/11.47 cnf('0.88.0.1',plain,
% 11.08/11.47 ( join(X1,join(complement(X1),X2)) = top ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.88.0.0','0.53.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.88.1.0',plain,
% 11.08/11.47 ( join(X1,join(complement(X1),X2)) = top ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.88.0.1']),
% 11.08/11.47 [weight('<55,48,53,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.88.2.0',plain,
% 11.08/11.47 ( join(X1,join(complement(X1),X2)) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_85]).
% 11.08/11.47 cnf('0.89.0.0',plain,
% 11.08/11.47 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.59.2.0','0.88.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.89.0.1',plain,
% 11.08/11.47 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.89.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.1.2.1','L')]).
% 11.08/11.47 cnf('0.89.0.2',plain,
% 11.08/11.47 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.89.0.1','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.89.0.3',plain,
% 11.08/11.47 ( X1 = meet(X1,join(X1,X2)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.89.0.2','0.67.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.89.1.0',plain,
% 11.08/11.47 ( X1 = meet(X1,join(X1,X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.89.0.3']),
% 11.08/11.47 [weight('<41,88,59,[0,0,0,5]>')]).
% 11.08/11.47 cnf('0.89.2.0',plain,
% 11.08/11.47 ( meet(X1,join(X1,X2)) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_86]).
% 11.08/11.47 cnf('0.90.0.0',plain,
% 11.08/11.47 ( X1 = meet(X1,join(X2,X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.89.2.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.90.1.0',plain,
% 11.08/11.47 ( X1 = meet(X1,join(X2,X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.90.0.0']),
% 11.08/11.47 [weight('<41,89,4,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.90.2.0',plain,
% 11.08/11.47 ( meet(X1,join(X2,X1)) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_87]).
% 11.08/11.47 cnf('0.92.0.0',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.90.2.0','0.85.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.92.1.0',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(meet(X1,X2),X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.92.0.0']),
% 11.08/11.47 [weight('<53,90,85,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.92.1.1',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(X2,meet(X1,X2)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.92.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.92.2.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.92.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_89]).
% 11.08/11.47 cnf('0.98.0.0',plain,
% 11.08/11.47 ( top = join(X1,join(X2,complement(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.88.2.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.98.1.0',plain,
% 11.08/11.47 ( top = join(X1,join(X2,complement(X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.98.0.0']),
% 11.08/11.47 [weight('<55,88,4,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.98.2.0',plain,
% 11.08/11.47 ( join(X1,join(X2,complement(X1))) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_95]).
% 11.08/11.47 cnf('0.99.0.0',plain,
% 11.08/11.47 ( top = join(complement(X1),join(X1,X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.88.2.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.99.1.0',plain,
% 11.08/11.47 ( top = join(complement(X1),join(X1,X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.99.0.0']),
% 11.08/11.47 [weight('<55,88,69,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.99.2.0',plain,
% 11.08/11.47 ( join(complement(X1),join(X1,X2)) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_96]).
% 11.08/11.47 cnf('0.100.0.0',plain,
% 11.08/11.47 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.86.2.0','0.88.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.100.0.1',plain,
% 11.08/11.47 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.100.0.0','0.5.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.100.0.2',plain,
% 11.08/11.47 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.100.0.1','0.5.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.100.0.3',plain,
% 11.08/11.47 ( join(complement(X1),join(X2,X1)) = join(complement(X1),top) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.100.0.2','0.52.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.100.0.4',plain,
% 11.08/11.47 ( join(complement(X1),join(X2,X1)) = top ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.100.0.3','0.52.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.100.1.0',plain,
% 11.08/11.47 ( join(complement(X1),join(X2,X1)) = top ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.100.0.4']),
% 11.08/11.47 [weight('<55,88,86,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.100.2.0',plain,
% 11.08/11.47 ( join(complement(X1),join(X2,X1)) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_97]).
% 11.08/11.47 cnf('0.101.0.0',plain,
% 11.08/11.47 ( top = join(complement(meet(X1,X2)),X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.99.2.0','0.59.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.101.1.0',plain,
% 11.08/11.47 ( top = join(complement(meet(X1,X2)),X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.101.0.0']),
% 11.08/11.47 [weight('<55,99,59,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.101.1.1',plain,
% 11.08/11.47 ( top = join(X1,complement(meet(X1,X2))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.101.1.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.101.2.0',plain,
% 11.08/11.47 ( join(X1,complement(meet(X1,X2))) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.101.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_98]).
% 11.08/11.47 cnf('0.102.0.0',plain,
% 11.08/11.47 ( top = join(complement(meet(X1,X2)),X2) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.100.2.0','0.85.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.102.1.0',plain,
% 11.08/11.47 ( top = join(complement(meet(X1,X2)),X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.102.0.0']),
% 11.08/11.47 [weight('<55,100,85,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.102.1.1',plain,
% 11.08/11.47 ( top = join(X2,complement(meet(X1,X2))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.102.1.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.102.2.0',plain,
% 11.08/11.47 ( join(X1,complement(meet(X2,X1))) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.102.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_99]).
% 11.08/11.47 cnf('0.104.0.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,complement(X1))) = complement(top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.10.2.0','0.102.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.104.0.1',plain,
% 11.08/11.47 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.104.0.0','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.104.1.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.104.0.1']),
% 11.08/11.47 [weight('<55,102,10,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.104.2.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_101]).
% 11.08/11.47 cnf('0.106.0.0',plain,
% 11.08/11.47 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.104.2.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2','L')]).
% 11.08/11.47 cnf('0.106.1.0',plain,
% 11.08/11.47 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.106.0.0']),
% 11.08/11.47 [weight('<55,104,69,[1,0,0,4]>')]).
% 11.08/11.47 cnf('0.106.2.0',plain,
% 11.08/11.47 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_103]).
% 11.08/11.47 cnf('0.108.0.0',plain,
% 11.08/11.47 ( zero = meet(complement(join(X1,X2)),X2) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.106.2.0','0.90.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.108.1.0',plain,
% 11.08/11.47 ( zero = meet(complement(join(X1,X2)),X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.108.0.0']),
% 11.08/11.47 [weight('<55,106,90,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.108.1.1',plain,
% 11.08/11.47 ( zero = meet(X2,complement(join(X1,X2))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.108.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.108.2.0',plain,
% 11.08/11.47 ( meet(X1,complement(join(X2,X1))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.108.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_105]).
% 11.08/11.47 cnf('0.109.0.0',plain,
% 11.08/11.47 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.10.2.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.109.1.0',plain,
% 11.08/11.47 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.109.0.0']),
% 11.08/11.47 [weight('<59,69,10,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.109.2.0',plain,
% 11.08/11.47 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_106]).
% 11.08/11.47 cnf('0.111.0.0',plain,
% 11.08/11.47 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.109.2.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.111.1.0',plain,
% 11.08/11.47 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.111.0.0']),
% 11.08/11.47 [weight('<59,109,4,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.111.2.0',plain,
% 11.08/11.47 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_107]).
% 11.08/11.47 cnf('0.112.0.0',plain,
% 11.08/11.47 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.69.2.0','0.109.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.112.1.0',plain,
% 11.08/11.47 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.112.0.0']),
% 11.08/11.47 [weight('<59,109,69,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.112.2.0',plain,
% 11.08/11.47 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_108]).
% 11.08/11.47 cnf('0.114.0.0',plain,
% 11.08/11.47 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.112.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.114.1.0',plain,
% 11.08/11.47 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.114.0.0']),
% 11.08/11.47 [weight('<59,112,18,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.114.2.0',plain,
% 11.08/11.47 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_110]).
% 11.08/11.47 cnf('0.115.0.0',plain,
% 11.08/11.47 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.112.2.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.115.1.0',plain,
% 11.08/11.47 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.115.0.0']),
% 11.08/11.47 [weight('<59,112,69,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.115.2.0',plain,
% 11.08/11.47 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_111]).
% 11.08/11.47 cnf('0.120.0.0',plain,
% 11.08/11.47 ( join(X1,converse(meet(X2,converse(X1)))) = converse(converse(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.26.2.0','0.85.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.120.0.1',plain,
% 11.08/11.47 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.120.0.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.120.1.0',plain,
% 11.08/11.47 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.120.0.1']),
% 11.08/11.47 [weight('<71,85,26,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.120.2.0',plain,
% 11.08/11.47 ( join(X1,converse(meet(X2,converse(X1)))) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_116]).
% 11.08/11.47 cnf('0.131.0.0',plain,
% 11.08/11.47 ( join(one,converse(complement(meet(X1,one)))) = converse(top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.33.2.0','0.102.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.131.0.1',plain,
% 11.08/11.47 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.131.0.0','0.54.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.131.1.0',plain,
% 11.08/11.47 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.131.0.1']),
% 11.08/11.47 [weight('<71,102,33,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.131.2.0',plain,
% 11.08/11.47 ( join(one,converse(complement(meet(X1,one)))) = top ),
% 11.08/11.47 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_127]).
% 11.08/11.47 cnf('0.149.0.0',plain,
% 11.08/11.47 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.5.2.0','0.84.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.149.1.0',plain,
% 11.08/11.47 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.149.0.0']),
% 11.08/11.47 [weight('<87,84,5,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.149.2.0',plain,
% 11.08/11.47 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_145]).
% 11.08/11.47 cnf('0.151.0.0',plain,
% 11.08/11.47 ( join(X1,meet(X2,meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.149.2.0','0.85.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.151.0.1',plain,
% 11.08/11.47 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.151.0.0','0.84.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.151.1.0',plain,
% 11.08/11.47 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.151.0.1']),
% 11.08/11.47 [weight('<71,149,85,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.151.2.0',plain,
% 11.08/11.47 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.151.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_147]).
% 11.08/11.47 cnf('0.153.0.0',plain,
% 11.08/11.47 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.151.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2','L')]).
% 11.08/11.47 cnf('0.153.1.0',plain,
% 11.08/11.47 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.153.0.0']),
% 11.08/11.47 [weight('<71,151,18,[1,0,0,4]>')]).
% 11.08/11.47 cnf('0.153.2.0',plain,
% 11.08/11.47 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.153.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_149]).
% 11.08/11.47 cnf('0.154.0.0',plain,
% 11.08/11.47 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.5.2.0','0.85.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.154.1.0',plain,
% 11.08/11.47 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.154.0.0']),
% 11.08/11.47 [weight('<87,85,5,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.154.2.0',plain,
% 11.08/11.47 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.154.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_150]).
% 11.08/11.47 cnf('0.163.0.0',plain,
% 11.08/11.47 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.149.2.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.163.1.0',plain,
% 11.08/11.47 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.163.0.0']),
% 11.08/11.47 [weight('<87,149,4,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.163.2.0',plain,
% 11.08/11.47 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.163.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_158]).
% 11.08/11.47 cnf('0.184.0.0',plain,
% 11.08/11.47 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.59.2.0'])).
% 11.08/11.47 cnf('0.184.0.1',plain,
% 11.08/11.47 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.184.0.0','0.111.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.184.1.0',plain,
% 11.08/11.47 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.184.0.1']),
% 11.08/11.47 [weight('<89,59,111,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.184.2.0',plain,
% 11.08/11.47 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.184.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_179]).
% 11.08/11.47 cnf('0.185.0.0',plain,
% 11.08/11.47 ( sk3 = join(zero,meet(complement(composition(sk1,sk2)),sk3)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.184.2.0','0.19.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.185.0.1',plain,
% 11.08/11.47 ( sk3 = meet(complement(composition(sk1,sk2)),sk3) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.185.0.0','0.64.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.185.1.0',plain,
% 11.08/11.47 ( sk3 = meet(complement(composition(sk1,sk2)),sk3) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.185.0.1']),
% 11.08/11.47 [weight('<55,184,19,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.185.1.1',plain,
% 11.08/11.47 ( sk3 = meet(sk3,complement(composition(sk1,sk2))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.185.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.185.2.0',plain,
% 11.08/11.47 ( meet(sk3,complement(composition(sk1,sk2))) = sk3 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.185.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_180]).
% 11.08/11.47 cnf('0.187.0.0',plain,
% 11.08/11.47 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.154.2.0','0.184.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.187.1.0',plain,
% 11.08/11.47 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.187.0.0']),
% 11.08/11.47 [weight('<69,184,154,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.187.2.0',plain,
% 11.08/11.47 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_182]).
% 11.08/11.47 cnf('0.189.0.0',plain,
% 11.08/11.47 ( join(X1,X2) = join(X1,meet(X2,complement(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.187.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.189.1.0',plain,
% 11.08/11.47 ( join(X1,X2) = join(X1,meet(X2,complement(X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.189.0.0']),
% 11.08/11.47 [weight('<69,187,18,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.189.2.0',plain,
% 11.08/11.47 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_184]).
% 11.08/11.47 cnf('0.190.0.0',plain,
% 11.08/11.47 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.163.2.0','0.184.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.190.1.0',plain,
% 11.08/11.47 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.190.0.0']),
% 11.08/11.47 [weight('<76,184,163,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.190.2.0',plain,
% 11.08/11.47 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_185]).
% 11.08/11.47 cnf('0.191.0.0',plain,
% 11.08/11.47 ( complement(composition(sk1,sk2)) = join(complement(composition(sk1,sk2)),sk3) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.85.2.0','0.185.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.191.1.0',plain,
% 11.08/11.47 ( complement(composition(sk1,sk2)) = join(complement(composition(sk1,sk2)),sk3) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.191.0.0']),
% 11.08/11.47 [weight('<76,185,85,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.191.1.1',plain,
% 11.08/11.47 ( complement(composition(sk1,sk2)) = join(sk3,complement(composition(sk1,sk2))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.191.1.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.191.2.0',plain,
% 11.08/11.47 ( join(sk3,complement(composition(sk1,sk2))) = complement(composition(sk1,sk2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.191.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_186]).
% 11.08/11.47 cnf('0.193.0.0',plain,
% 11.08/11.47 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.111.2.0','0.187.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.193.0.1',plain,
% 11.08/11.47 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.193.0.0','0.112.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.193.0.2',plain,
% 11.08/11.47 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.193.0.1','0.115.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.193.0.3',plain,
% 11.08/11.47 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.193.0.2','0.111.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.193.1.0',plain,
% 11.08/11.47 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.193.0.3']),
% 11.08/11.47 [weight('<76,187,111,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.193.1.1',plain,
% 11.08/11.47 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.193.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.193.2.0',plain,
% 11.08/11.47 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.193.1.1',theory(equality)]),
% 11.08/11.47 [u,rule_188]).
% 11.08/11.47 cnf('0.194.0.0',plain,
% 11.08/11.47 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.193.2.0','0.114.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.194.0.1',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.194.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.194.1.0',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.194.0.1']),
% 11.08/11.47 [weight('<69,193,114,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.194.2.0',plain,
% 11.08/11.47 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.194.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_189]).
% 11.08/11.47 cnf('0.195.0.0',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.194.2.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.195.1.0',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.195.0.0']),
% 11.08/11.47 [weight('<69,194,4,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.195.2.0',plain,
% 11.08/11.47 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_190]).
% 11.08/11.47 cnf('0.196.0.0',plain,
% 11.08/11.47 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.195.2.0','0.87.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.196.0.1',plain,
% 11.08/11.47 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.196.0.0','0.75.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.196.1.0',plain,
% 11.08/11.47 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.196.0.1']),
% 11.08/11.47 [weight('<71,195,87,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.196.1.1',plain,
% 11.08/11.47 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.196.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.196.2.0',plain,
% 11.08/11.47 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.196.1.1',theory(equality)]),
% 11.08/11.47 [u,rule_191]).
% 11.08/11.47 cnf('0.197.0.0',plain,
% 11.08/11.47 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.112.2.0','0.196.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.197.0.1',plain,
% 11.08/11.47 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.197.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1.1.1.1','L')]).
% 11.08/11.47 cnf('0.197.0.2',plain,
% 11.08/11.47 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.197.0.1','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.197.1.0',plain,
% 11.08/11.47 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.197.0.2']),
% 11.08/11.47 [weight('<71,196,112,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.197.2.0',plain,
% 11.08/11.47 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_192]).
% 11.08/11.47 cnf('0.198.0.0',plain,
% 11.08/11.47 ( one = join(one,complement(converse(complement(one)))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.197.2.0','0.31.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1.1.1','L')]).
% 11.08/11.47 cnf('0.198.1.0',plain,
% 11.08/11.47 ( one = join(one,complement(converse(complement(one)))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.198.0.0']),
% 11.08/11.47 [weight('<55,197,31,[1,0,0,5]>')]).
% 11.08/11.47 cnf('0.198.2.0',plain,
% 11.08/11.47 ( join(one,complement(converse(complement(one)))) = one ),
% 11.08/11.47 inference(orient,[status(thm)],['0.198.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_193]).
% 11.08/11.47 cnf('0.199.0.0',plain,
% 11.08/11.47 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.109.2.0','0.198.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.199.1.0',plain,
% 11.08/11.47 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.199.0.0']),
% 11.08/11.47 [weight('<62,198,109,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.199.2.0',plain,
% 11.08/11.47 ( meet(complement(one),converse(complement(one))) = complement(one) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_194]).
% 11.08/11.47 cnf('0.200.0.0',plain,
% 11.08/11.47 ( complement(one) = join(complement(one),converse(complement(one))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.120.2.0','0.199.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.200.1.0',plain,
% 11.08/11.47 ( complement(one) = join(complement(one),converse(complement(one))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.200.0.0']),
% 11.08/11.47 [weight('<62,199,120,[0,0,0,3]>')]).
% 11.08/11.47 cnf('0.200.2.0',plain,
% 11.08/11.47 ( join(complement(one),converse(complement(one))) = complement(one) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.200.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_195]).
% 11.08/11.47 cnf('0.203.0.0',plain,
% 11.08/11.47 ( converse(complement(one)) = join(converse(complement(one)),complement(one)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.85.2.0','0.199.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.203.1.0',plain,
% 11.08/11.47 ( converse(complement(one)) = join(converse(complement(one)),complement(one)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.203.0.0']),
% 11.08/11.47 [weight('<69,199,85,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.203.1.1',plain,
% 11.08/11.47 ( converse(complement(one)) = join(complement(one),converse(complement(one))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.203.1.0','0.4.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.203.1.2',plain,
% 11.08/11.47 ( converse(complement(one)) = complement(one) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.203.1.1','0.200.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.203.2.0',plain,
% 11.08/11.47 ( converse(complement(one)) = complement(one) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.203.1.2',theory(equality)]),
% 11.08/11.47 [u,rule_198]).
% 11.08/11.47 cnf('0.205.0.0',plain,
% 11.08/11.47 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.9.2.0','0.203.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.205.1.0',plain,
% 11.08/11.47 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.205.0.0']),
% 11.08/11.47 [weight('<65,203,9,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.205.2.0',plain,
% 11.08/11.47 ( converse(join(complement(one),X1)) = join(complement(one),converse(X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.205.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_200]).
% 11.08/11.47 cnf('0.209.0.0',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.26.2.0','0.197.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.209.0.1',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.209.0.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1.1.1.1','L')]).
% 11.08/11.47 cnf('0.209.0.2',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.209.0.1','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.209.1.0',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.209.0.2']),
% 11.08/11.47 [weight('<71,197,26,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.209.2.0',plain,
% 11.08/11.47 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.209.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_204]).
% 11.08/11.47 cnf('0.213.0.0',plain,
% 11.08/11.47 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.111.2.0','0.209.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.213.0.1',plain,
% 11.08/11.47 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.213.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1.1.1.1','L')]).
% 11.08/11.47 cnf('0.213.0.2',plain,
% 11.08/11.47 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.213.0.1','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.213.1.0',plain,
% 11.08/11.47 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.213.0.2']),
% 11.08/11.47 [weight('<71,209,111,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.213.1.1',plain,
% 11.08/11.47 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.213.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.213.2.0',plain,
% 11.08/11.47 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.213.1.1',theory(equality)]),
% 11.08/11.47 [u,rule_208]).
% 11.08/11.47 cnf('0.217.0.0',plain,
% 11.08/11.47 ( meet(complement(meet(X1,X2)),X2) = complement(join(complement(X2),X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.111.2.0','0.190.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.217.0.1',plain,
% 11.08/11.47 ( meet(complement(meet(X1,X2)),X2) = meet(complement(X1),X2) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.217.0.0','0.111.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.217.1.0',plain,
% 11.08/11.47 ( meet(complement(meet(X1,X2)),X2) = meet(complement(X1),X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.217.0.1']),
% 11.08/11.47 [weight('<76,190,111,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.217.1.1',plain,
% 11.08/11.47 ( meet(X2,complement(meet(X1,X2))) = meet(complement(X1),X2) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.217.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.217.2.0',plain,
% 11.08/11.47 ( meet(X1,complement(meet(X2,X1))) = meet(complement(X2),X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.217.1.1',theory(equality)]),
% 11.08/11.47 [u,rule_212]).
% 11.08/11.47 cnf('0.219.0.0',plain,
% 11.08/11.47 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.194.2.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2','L')]).
% 11.08/11.47 cnf('0.219.1.0',plain,
% 11.08/11.47 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.219.0.0']),
% 11.08/11.47 [weight('<76,194,69,[1,0,0,4]>')]).
% 11.08/11.47 cnf('0.219.2.0',plain,
% 11.08/11.47 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_214]).
% 11.08/11.47 cnf('0.220.0.0',plain,
% 11.08/11.47 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.219.2.0','0.87.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.220.0.1',plain,
% 11.08/11.47 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.220.0.0','0.213.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.220.0.2',plain,
% 11.08/11.47 ( X1 = complement(converse(complement(converse(X1)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.220.0.1','0.75.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.220.1.0',plain,
% 11.08/11.47 ( X1 = complement(converse(complement(converse(X1)))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.220.0.2']),
% 11.08/11.47 [weight('<41,219,87,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.220.2.0',plain,
% 11.08/11.47 ( complement(converse(complement(converse(X1)))) = X1 ),
% 11.08/11.47 inference(orient,[status(thm)],['0.220.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_215]).
% 11.08/11.47 cnf('0.221.0.0',plain,
% 11.08/11.47 ( converse(X1) = complement(converse(complement(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.220.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1.1','L')]).
% 11.08/11.47 cnf('0.221.1.0',plain,
% 11.08/11.47 ( converse(X1) = complement(converse(complement(X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.221.0.0']),
% 11.08/11.47 [weight('<34,220,3,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.221.2.0',plain,
% 11.08/11.47 ( complement(converse(complement(X1))) = converse(X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.221.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_216]).
% 11.08/11.47 cnf('0.222.0.0',plain,
% 11.08/11.47 ( converse(complement(X1)) = complement(converse(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.69.2.0','0.221.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.222.1.0',plain,
% 11.08/11.47 ( converse(complement(X1)) = complement(converse(X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.222.0.0']),
% 11.08/11.47 [weight('<27,221,69,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.222.2.0',plain,
% 11.08/11.47 ( complement(converse(X1)) = converse(complement(X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.222.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_217]).
% 11.08/11.47 cnf('0.224.0.0',plain,
% 11.08/11.47 ( converse(complement(composition(X1,top))) = complement(composition(top,converse(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.222.2.0','0.80.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.224.1.0',plain,
% 11.08/11.47 ( converse(complement(composition(X1,top))) = complement(composition(top,converse(X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.224.0.0']),
% 11.08/11.47 [weight('<65,222,80,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.224.2.0',plain,
% 11.08/11.47 ( complement(composition(top,converse(X1))) = converse(complement(composition(X1,top))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.224.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_219]).
% 11.08/11.47 cnf('0.225.0.0',plain,
% 11.08/11.47 ( converse(complement(composition(top,X1))) = complement(composition(converse(X1),top)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.222.2.0','0.81.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.225.1.0',plain,
% 11.08/11.47 ( converse(complement(composition(top,X1))) = complement(composition(converse(X1),top)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.225.0.0']),
% 11.08/11.47 [weight('<65,222,81,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.225.2.0',plain,
% 11.08/11.47 ( complement(composition(converse(X1),top)) = converse(complement(composition(top,X1))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_220]).
% 11.08/11.47 cnf('0.226.0.0',plain,
% 11.08/11.47 ( converse(complement(join(complement(one),X1))) = complement(join(complement(one),converse(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.222.2.0','0.205.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.226.0.1',plain,
% 11.08/11.47 ( converse(meet(complement(X1),one)) = complement(join(complement(one),converse(X1))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.226.0.0','0.111.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.226.0.2',plain,
% 11.08/11.47 ( converse(meet(complement(X1),one)) = meet(complement(converse(X1)),one) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.226.0.1','0.111.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.226.0.3',plain,
% 11.08/11.47 ( converse(meet(complement(X1),one)) = meet(converse(complement(X1)),one) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.226.0.2','0.222.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.1','L')]).
% 11.08/11.47 cnf('0.226.1.0',plain,
% 11.08/11.47 ( converse(meet(complement(X1),one)) = meet(converse(complement(X1)),one) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.226.0.3']),
% 11.08/11.47 [weight('<65,222,205,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.226.1.1',plain,
% 11.08/11.47 ( converse(meet(one,complement(X1))) = meet(converse(complement(X1)),one) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.226.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.226.1.2',plain,
% 11.08/11.47 ( converse(meet(one,complement(X1))) = meet(one,converse(complement(X1))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.226.1.1','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.226.2.0',plain,
% 11.08/11.47 ( converse(meet(one,complement(X1))) = meet(one,converse(complement(X1))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.226.1.2',theory(equality)]),
% 11.08/11.47 [u,rule_221]).
% 11.08/11.47 cnf('0.227.0.0',plain,
% 11.08/11.47 ( meet(one,converse(complement(complement(X1)))) = converse(meet(one,X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.226.2.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.2','L')]).
% 11.08/11.47 cnf('0.227.0.1',plain,
% 11.08/11.47 ( meet(one,converse(X1)) = converse(meet(one,X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.227.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.227.1.0',plain,
% 11.08/11.47 ( meet(one,converse(X1)) = converse(meet(one,X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.227.0.1']),
% 11.08/11.47 [weight('<44,226,69,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.227.2.0',plain,
% 11.08/11.47 ( converse(meet(one,X1)) = meet(one,converse(X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.227.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_222]).
% 11.08/11.47 cnf('0.228.0.0',plain,
% 11.08/11.47 ( meet(one,converse(X1)) = converse(meet(X1,one)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.227.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.228.1.0',plain,
% 11.08/11.47 ( meet(one,converse(X1)) = converse(meet(X1,one)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.228.0.0']),
% 11.08/11.47 [weight('<44,227,18,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.228.2.0',plain,
% 11.08/11.47 ( converse(meet(X1,one)) = meet(one,converse(X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.228.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_223]).
% 11.08/11.47 cnf('0.229.0.0',plain,
% 11.08/11.47 ( converse(complement(meet(one,X1))) = complement(meet(one,converse(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.222.2.0','0.227.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.229.1.0',plain,
% 11.08/11.47 ( converse(complement(meet(one,X1))) = complement(meet(one,converse(X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.229.0.0']),
% 11.08/11.47 [weight('<65,227,222,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.229.2.0',plain,
% 11.08/11.47 ( complement(meet(one,converse(X1))) = converse(complement(meet(one,X1))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.229.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_224]).
% 11.08/11.47 cnf('0.231.0.0',plain,
% 11.08/11.47 ( complement(top) = join(complement(top),composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.8.2.0','0.225.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2','L')]).
% 11.08/11.47 cnf('0.231.0.1',plain,
% 11.08/11.47 ( zero = join(complement(top),composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.231.0.0','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.231.0.2',plain,
% 11.08/11.47 ( zero = join(zero,composition(converse(converse(X1)),converse(complement(composition(top,X1))))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.231.0.1','0.15.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.1','L')]).
% 11.08/11.47 cnf('0.231.0.3',plain,
% 11.08/11.47 ( zero = composition(converse(converse(X1)),converse(complement(composition(top,X1)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.231.0.2','0.64.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.231.0.4',plain,
% 11.08/11.47 ( zero = converse(composition(complement(composition(top,X1)),converse(X1))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.231.0.3','0.12.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.231.0.5',plain,
% 11.08/11.47 ( zero = composition(X1,converse(complement(composition(top,X1)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.231.0.4','0.28.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.231.1.0',plain,
% 11.08/11.47 ( zero = composition(X1,converse(complement(composition(top,X1)))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.231.0.5']),
% 11.08/11.47 [weight('<71,225,8,[0,0,0,6]>')]).
% 11.08/11.47 cnf('0.231.2.0',plain,
% 11.08/11.47 ( composition(X1,converse(complement(composition(top,X1)))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.231.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_226]).
% 11.08/11.47 cnf('0.237.0.0',plain,
% 11.08/11.47 ( composition(converse(converse(complement(composition(top,converse(X1))))),X1) = converse(zero) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.29.2.0','0.231.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.237.0.1',plain,
% 11.08/11.47 ( composition(complement(composition(top,converse(X1))),X1) = converse(zero) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.237.0.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.237.0.2',plain,
% 11.08/11.47 ( composition(converse(complement(composition(X1,top))),X1) = converse(zero) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.237.0.1','0.224.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.237.0.3',plain,
% 11.08/11.47 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.237.0.2','0.77.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.237.1.0',plain,
% 11.08/11.47 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.237.0.3']),
% 11.08/11.47 [weight('<71,231,29,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.237.2.0',plain,
% 11.08/11.47 ( composition(converse(complement(composition(X1,top))),X1) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.237.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_232]).
% 11.08/11.47 cnf('0.240.0.0',plain,
% 11.08/11.47 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.222.2.0','0.26.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.240.1.0',plain,
% 11.08/11.47 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.240.0.0']),
% 11.08/11.47 [weight('<83,222,26,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.240.2.0',plain,
% 11.08/11.47 ( converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.240.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_235]).
% 11.08/11.47 cnf('0.254.0.0',plain,
% 11.08/11.47 ( converse(complement(composition(X1,converse(X2)))) = complement(composition(X2,converse(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.222.2.0','0.28.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.254.1.0',plain,
% 11.08/11.47 ( converse(complement(composition(X1,converse(X2)))) = complement(composition(X2,converse(X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.254.0.0']),
% 11.08/11.47 [weight('<83,222,28,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.254.2.0',plain,
% 11.08/11.47 ( converse(complement(composition(X1,converse(X2)))) = complement(composition(X2,converse(X1))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.254.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_249]).
% 11.08/11.47 cnf('0.263.0.0',plain,
% 11.08/11.47 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2.1','L')]).
% 11.08/11.47 cnf('0.263.1.0',plain,
% 11.08/11.47 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.263.0.0']),
% 11.08/11.47 [weight('<?,8,2,[1,0,0,7]>')]).
% 11.08/11.47 cnf('0.263.2.0',plain,
% 11.08/11.47 ( join(complement(one),composition(converse(X1),complement(X1))) = complement(one) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.263.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_258]).
% 11.08/11.47 cnf('0.264.0.0',plain,
% 11.08/11.47 ( zero = meet(composition(converse(X1),complement(X1)),complement(complement(one))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.108.2.0','0.263.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.264.0.1',plain,
% 11.08/11.47 ( zero = meet(composition(converse(X1),complement(X1)),one) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.264.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.264.1.0',plain,
% 11.08/11.47 ( zero = meet(composition(converse(X1),complement(X1)),one) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.264.0.1']),
% 11.08/11.47 [weight('<71,263,108,[0,0,0,3]>')]).
% 11.08/11.47 cnf('0.264.1.1',plain,
% 11.08/11.47 ( zero = meet(one,composition(converse(X1),complement(X1))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.264.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.264.2.0',plain,
% 11.08/11.47 ( meet(one,composition(converse(X1),complement(X1))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.264.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_259]).
% 11.08/11.47 cnf('0.265.0.0',plain,
% 11.08/11.47 ( zero = meet(one,composition(X1,complement(converse(X1)))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.264.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.265.0.1',plain,
% 11.08/11.47 ( zero = meet(one,composition(X1,converse(complement(X1)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.265.0.0','0.222.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2.2','L')]).
% 11.08/11.47 cnf('0.265.1.0',plain,
% 11.08/11.47 ( zero = meet(one,composition(X1,converse(complement(X1)))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.265.0.1']),
% 11.08/11.47 [weight('<71,264,3,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.265.2.0',plain,
% 11.08/11.47 ( meet(one,composition(X1,converse(complement(X1)))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.265.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_260]).
% 11.08/11.47 cnf('0.269.0.0',plain,
% 11.08/11.47 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.115.2.0','0.222.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.269.1.0',plain,
% 11.08/11.47 ( complement(meet(converse(X1),X2)) = join(converse(complement(X1)),complement(X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.269.0.0']),
% 11.08/11.47 [weight('<83,222,115,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.269.2.0',plain,
% 11.08/11.47 ( join(converse(complement(X1)),complement(X2)) = complement(meet(converse(X1),X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.269.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_264]).
% 11.08/11.47 cnf('0.270.0.0',plain,
% 11.08/11.47 ( complement(join(complement(X1),converse(complement(X2)))) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.240.2.0','0.269.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.270.0.1',plain,
% 11.08/11.47 ( meet(complement(converse(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.270.0.0','0.111.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.270.0.2',plain,
% 11.08/11.47 ( meet(converse(complement(complement(X2))),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.270.0.1','0.222.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.270.0.3',plain,
% 11.08/11.47 ( meet(converse(X2),X1) = converse(complement(complement(meet(converse(X1),X2)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.270.0.2','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.270.0.4',plain,
% 11.08/11.47 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.270.0.3','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.1','L')]).
% 11.08/11.47 cnf('0.270.1.0',plain,
% 11.08/11.47 ( meet(converse(X2),X1) = converse(meet(converse(X1),X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.270.0.4']),
% 11.08/11.47 [weight('<59,269,240,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.270.2.0',plain,
% 11.08/11.47 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.270.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_265]).
% 11.08/11.47 cnf('0.271.0.0',plain,
% 11.08/11.47 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.270.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.271.1.0',plain,
% 11.08/11.47 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.271.0.0']),
% 11.08/11.47 [weight('<59,270,3,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.271.2.0',plain,
% 11.08/11.47 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.271.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_266]).
% 11.08/11.47 cnf('0.272.0.0',plain,
% 11.08/11.47 ( meet(converse(X1),X2) = converse(meet(X1,converse(X2))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.270.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.272.1.0',plain,
% 11.08/11.47 ( meet(converse(X1),X2) = converse(meet(X1,converse(X2))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.272.0.0']),
% 11.08/11.47 [weight('<59,270,18,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.272.2.0',plain,
% 11.08/11.47 ( converse(meet(X1,converse(X2))) = meet(converse(X1),X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.272.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_267]).
% 11.08/11.47 cnf('0.323.0.0',plain,
% 11.08/11.47 ( zero = meet(meet(X1,meet(X2,X3)),complement(X3)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.108.2.0','0.153.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.323.1.0',plain,
% 11.08/11.47 ( zero = meet(meet(X1,meet(X2,X3)),complement(X3)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.323.0.0']),
% 11.08/11.47 [weight('<89,153,108,[0,0,0,3]>')]).
% 11.08/11.47 cnf('0.323.1.1',plain,
% 11.08/11.47 ( zero = meet(complement(X3),meet(X1,meet(X2,X3))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.323.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.323.2.0',plain,
% 11.08/11.47 ( meet(complement(X1),meet(X2,meet(X3,X1))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.323.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_318]).
% 11.08/11.47 cnf('0.400.0.0',plain,
% 11.08/11.47 ( one = join(zero,meet(complement(composition(X1,converse(complement(X1)))),one)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.184.2.0','0.265.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.400.0.1',plain,
% 11.08/11.47 ( one = meet(complement(composition(X1,converse(complement(X1)))),one) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.400.0.0','0.64.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.400.1.0',plain,
% 11.08/11.47 ( one = meet(complement(composition(X1,converse(complement(X1)))),one) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.400.0.1']),
% 11.08/11.47 [weight('<89,265,184,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.400.1.1',plain,
% 11.08/11.47 ( one = meet(one,complement(composition(X1,converse(complement(X1))))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.400.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.400.2.0',plain,
% 11.08/11.47 ( meet(one,complement(composition(X1,converse(complement(X1))))) = one ),
% 11.08/11.47 inference(orient,[status(thm)],['0.400.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_395]).
% 11.08/11.47 cnf('0.454.0.0',plain,
% 11.08/11.47 ( join(X1,converse(composition(X2,converse(X1)))) = converse(composition(join(one,X2),converse(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.26.2.0','0.47.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.454.0.1',plain,
% 11.08/11.47 ( join(X1,composition(X1,converse(X2))) = converse(composition(join(one,X2),converse(X1))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.454.0.0','0.28.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.454.0.2',plain,
% 11.08/11.47 ( join(X1,composition(X1,converse(X2))) = composition(X1,converse(join(one,X2))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.454.0.1','0.28.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.454.0.3',plain,
% 11.08/11.47 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.454.0.2','0.33.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.454.1.0',plain,
% 11.08/11.47 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.454.0.3']),
% 11.08/11.47 [weight('<90,47,26,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.454.2.0',plain,
% 11.08/11.47 ( join(X1,composition(X1,converse(X2))) = composition(X1,join(one,converse(X2))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.454.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_449]).
% 11.08/11.47 cnf('0.455.0.0',plain,
% 11.08/11.47 ( composition(X1,join(one,converse(converse(X2)))) = join(X1,composition(X1,X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.454.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2','L')]).
% 11.08/11.47 cnf('0.455.0.1',plain,
% 11.08/11.47 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.455.0.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2','L')]).
% 11.08/11.47 cnf('0.455.1.0',plain,
% 11.08/11.47 ( composition(X1,join(one,X2)) = join(X1,composition(X1,X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.455.0.1']),
% 11.08/11.47 [weight('<65,454,3,[1,0,0,4]>')]).
% 11.08/11.47 cnf('0.455.2.0',plain,
% 11.08/11.47 ( join(X1,composition(X1,X2)) = composition(X1,join(one,X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.455.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_450]).
% 11.08/11.47 cnf('0.493.0.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),X2) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.90.2.0','0.151.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.493.1.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.493.0.0']),
% 11.08/11.47 [weight('<103,151,90,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.493.1.1',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,meet(X2,X3))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.493.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.493.2.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X2,meet(X1,X3)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.493.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_488]).
% 11.08/11.47 cnf('0.516.0.0',plain,
% 11.08/11.47 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,join(meet(X1,X2),X3)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.149.2.0','0.187.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.516.0.1',plain,
% 11.08/11.47 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.516.0.0','0.149.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.516.1.0',plain,
% 11.08/11.47 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.516.0.1']),
% 11.08/11.47 [weight('<107,187,149,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.516.2.0',plain,
% 11.08/11.47 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.516.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_511]).
% 11.08/11.47 cnf('0.543.0.0',plain,
% 11.08/11.47 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X2,join(complement(X2),X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.195.2.0','0.163.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.543.0.1',plain,
% 11.08/11.47 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X1,X2) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.543.0.0','0.195.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.543.1.0',plain,
% 11.08/11.47 ( meet(join(X1,meet(complement(X2),X3)),X2) = meet(X1,X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.543.0.1']),
% 11.08/11.47 [weight('<107,195,163,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.543.1.1',plain,
% 11.08/11.47 ( meet(X2,join(X1,meet(complement(X2),X3))) = meet(X1,X2) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.543.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.543.2.0',plain,
% 11.08/11.47 ( meet(X1,join(X2,meet(complement(X1),X3))) = meet(X2,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.543.1.1',theory(equality)]),
% 11.08/11.47 [u,rule_538]).
% 11.08/11.47 cnf('0.548.0.0',plain,
% 11.08/11.47 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.516.2.0','0.114.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.548.1.0',plain,
% 11.08/11.47 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.548.0.0']),
% 11.08/11.47 [weight('<107,516,114,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.548.2.0',plain,
% 11.08/11.47 ( join(X1,meet(join(X2,complement(X1)),X3)) = join(X1,X3) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.548.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_543]).
% 11.08/11.47 cnf('0.549.0.0',plain,
% 11.08/11.47 ( meet(meet(join(X1,complement(complement(X2))),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.195.2.0','0.548.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.549.0.1',plain,
% 11.08/11.47 ( meet(meet(join(X1,X2),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.549.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1.2','L')]).
% 11.08/11.47 cnf('0.549.0.2',plain,
% 11.08/11.47 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.549.0.1','0.195.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.549.1.0',plain,
% 11.08/11.47 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.549.0.2']),
% 11.08/11.47 [weight('<87,548,195,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.549.1.1',plain,
% 11.08/11.47 ( meet(X2,meet(join(X1,X2),X3)) = meet(X3,X2) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.549.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.549.2.0',plain,
% 11.08/11.47 ( meet(X1,meet(join(X2,X1),X3)) = meet(X3,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.549.1.1',theory(equality)]),
% 11.08/11.47 [u,rule_544]).
% 11.08/11.47 cnf('0.551.0.0',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.549.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.551.1.0',plain,
% 11.08/11.47 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.551.0.0']),
% 11.08/11.47 [weight('<87,549,18,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.551.2.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,join(X3,X1))) = meet(X2,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.551.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_546]).
% 11.08/11.47 cnf('0.553.0.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X2,X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.549.2.0','0.84.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.553.1.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X2,X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.553.0.0']),
% 11.08/11.47 [weight('<103,549,84,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.553.2.0',plain,
% 11.08/11.47 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.553.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_548]).
% 11.08/11.47 cnf('0.554.0.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.549.2.0','0.85.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.554.1.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.554.0.0']),
% 11.08/11.47 [weight('<103,549,85,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.554.2.0',plain,
% 11.08/11.47 ( meet(meet(X1,X2),meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.554.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_549]).
% 11.08/11.47 cnf('0.559.0.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.551.2.0','0.84.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2','L')]).
% 11.08/11.47 cnf('0.559.1.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X2,X3),meet(X1,X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.559.0.0']),
% 11.08/11.47 [weight('<103,551,84,[1,0,0,4]>')]).
% 11.08/11.47 cnf('0.559.2.0',plain,
% 11.08/11.47 ( meet(meet(X1,X2),meet(X3,X1)) = meet(X3,meet(X1,X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.559.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_554]).
% 11.08/11.47 cnf('0.561.0.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X3,X1),meet(X2,X3)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.554.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.561.1.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X3,X1),meet(X2,X3)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.561.0.0']),
% 11.08/11.47 [weight('<103,554,18,[1,0,0,0]>')]).
% 11.08/11.47 cnf('0.561.1.1',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.561.1.0','0.559.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.561.2.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)) ),
% 11.08/11.47 inference(activate,[status(thm)],['0.561.1.1']),
% 11.08/11.47 [equation_6]).
% 11.08/11.47 cnf('0.562.0.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.561.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.562.1.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.562.0.0']),
% 11.08/11.47 [weight('<65,561,18,[1,0,0,0]>')]).
% 11.08/11.47 cnf('0.562.2.0',plain,
% 11.08/11.47 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.562.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_556]).
% 11.08/11.47 cnf('0.565.0.0',plain,
% 11.08/11.47 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.08/11.47 inference(interreduction_right,[status(thm)],['0.553.2.0'])).
% 11.08/11.47 cnf('0.565.1.0',plain,
% 11.08/11.47 ( meet(meet(X1,X2),meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.565.0.0']),
% 11.08/11.47 [weight('<103,553,561,[0,0,0,0]>')]).
% 11.08/11.47 cnf('0.565.1.1',plain,
% 11.08/11.47 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X3,meet(X1,X2)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.565.1.0','0.562.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.565.1.2',plain,
% 11.08/11.47 ( meet(X2,meet(X1,X3)) = meet(X3,meet(X1,X2)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.565.1.1','0.493.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.565.2.0',plain,
% 11.08/11.47 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 11.08/11.47 inference(activate,[status(thm)],['0.565.1.2']),
% 11.08/11.47 [equation_7]).
% 11.08/11.47 cnf('0.585.0.0',plain,
% 11.08/11.47 ( zero = meet(composition(converse(X1),complement(composition(X1,X2))),complement(complement(X2))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.108.2.0','0.8.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.585.0.1',plain,
% 11.08/11.47 ( zero = meet(composition(converse(X1),complement(composition(X1,X2))),X2) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.585.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.585.1.0',plain,
% 11.08/11.47 ( zero = meet(composition(converse(X1),complement(composition(X1,X2))),X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.585.0.1']),
% 11.08/11.47 [weight('<109,108,8,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.585.1.1',plain,
% 11.08/11.47 ( zero = meet(X2,composition(converse(X1),complement(composition(X1,X2)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.585.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.585.2.0',plain,
% 11.08/11.47 ( meet(X1,composition(converse(X2),complement(composition(X2,X1)))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.585.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_577]).
% 11.08/11.47 cnf('0.671.0.0',plain,
% 11.08/11.47 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.7.2.0','0.12.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.671.1.0',plain,
% 11.08/11.47 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.671.0.0']),
% 11.08/11.47 [weight('<?,12,7,[0,0,0,4]>')]).
% 11.08/11.47 cnf('0.671.2.0',plain,
% 11.08/11.47 ( join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.671.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_663]).
% 11.08/11.47 cnf('0.680.0.0',plain,
% 11.08/11.47 ( zero = meet(complement(complement(composition(X1,converse(complement(X1))))),meet(X2,one)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.323.2.0','0.400.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2','L')]).
% 11.08/11.47 cnf('0.680.0.1',plain,
% 11.08/11.47 ( zero = meet(composition(X1,converse(complement(X1))),meet(X2,one)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.680.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.1','L')]).
% 11.08/11.47 cnf('0.680.1.0',plain,
% 11.08/11.47 ( zero = meet(composition(X1,converse(complement(X1))),meet(X2,one)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.680.0.1']),
% 11.08/11.47 [weight('<109,400,323,[0,0,0,5]>')]).
% 11.08/11.47 cnf('0.680.1.1',plain,
% 11.08/11.47 ( zero = meet(one,meet(X2,composition(X1,converse(complement(X1))))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.680.1.0','0.565.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.680.2.0',plain,
% 11.08/11.47 ( meet(one,meet(X1,composition(X2,converse(complement(X2))))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.680.1.1',theory(equality)]),
% 11.08/11.47 [x,rule_672]).
% 11.08/11.47 cnf('0.752.0.0',plain,
% 11.08/11.47 ( meet(converse(composition(converse(X1),complement(composition(X1,converse(X2))))),X2) = converse(zero) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.270.2.0','0.585.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.752.0.1',plain,
% 11.08/11.47 ( meet(composition(converse(complement(composition(X1,converse(X2)))),X1),X2) = converse(zero) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.752.0.0','0.29.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.752.0.2',plain,
% 11.08/11.47 ( meet(composition(complement(composition(X2,converse(X1))),X1),X2) = converse(zero) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.752.0.1','0.254.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.752.0.3',plain,
% 11.08/11.47 ( meet(composition(complement(composition(X2,converse(X1))),X1),X2) = zero ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.752.0.2','0.77.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.752.1.0',plain,
% 11.08/11.47 ( meet(composition(complement(composition(X2,converse(X1))),X1),X2) = zero ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.752.0.3']),
% 11.08/11.47 [weight('<109,585,270,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.752.1.1',plain,
% 11.08/11.47 ( meet(X2,composition(complement(composition(X2,converse(X1))),X1)) = zero ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.752.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.47 [pos('L','L')]).
% 11.08/11.47 cnf('0.752.2.0',plain,
% 11.08/11.47 ( meet(X1,composition(complement(composition(X1,converse(X2))),X2)) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.752.1.1',theory(equality)]),
% 11.08/11.47 [u,rule_744]).
% 11.08/11.47 cnf('0.791.0.0',plain,
% 11.08/11.47 ( converse(join(composition(X1,top),X2)) = join(composition(top,converse(X1)),converse(X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.9.2.0','0.80.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.791.1.0',plain,
% 11.08/11.47 ( converse(join(composition(X1,top),X2)) = join(composition(top,converse(X1)),converse(X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.791.0.0']),
% 11.08/11.47 [weight('<111,80,9,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.791.2.0',plain,
% 11.08/11.47 ( join(composition(top,converse(X1)),converse(X2)) = converse(join(composition(X1,top),X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.791.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_783]).
% 11.08/11.47 cnf('0.825.0.0',plain,
% 11.08/11.47 ( converse(meet(composition(top,X1),X2)) = meet(converse(X2),composition(converse(X1),top)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.271.2.0','0.81.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.825.1.0',plain,
% 11.08/11.47 ( converse(meet(composition(top,X1),X2)) = meet(converse(X2),composition(converse(X1),top)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.825.0.0']),
% 11.08/11.47 [weight('<111,271,81,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.825.2.0',plain,
% 11.08/11.47 ( meet(converse(X1),composition(converse(X2),top)) = converse(meet(composition(top,X2),X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.825.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_817]).
% 11.08/11.47 cnf('0.836.0.0',plain,
% 11.08/11.47 ( meet(converse(meet(X1,X2)),X3) = converse(meet(X2,meet(converse(X3),X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.270.2.0','0.561.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','R')]).
% 11.08/11.47 cnf('0.836.1.0',plain,
% 11.08/11.47 ( meet(converse(meet(X1,X2)),X3) = converse(meet(X2,meet(converse(X3),X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.836.0.0']),
% 11.08/11.47 [weight('<111,561,270,[0,1,0,1]>')]).
% 11.08/11.47 cnf('0.836.2.0',plain,
% 11.08/11.47 ( converse(meet(X1,meet(converse(X2),X3))) = meet(converse(meet(X3,X1)),X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.836.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_827]).
% 11.08/11.47 cnf('0.926.0.0',plain,
% 11.08/11.47 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.12.2.0','0.26.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.926.1.0',plain,
% 11.08/11.47 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.926.0.0']),
% 11.08/11.47 [weight('<?,26,12,[0,0,0,3]>')]).
% 11.08/11.47 cnf('0.926.2.0',plain,
% 11.08/11.47 ( converse(composition(join(converse(X1),X2),X3)) = composition(converse(X3),join(X1,converse(X2))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.926.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_916]).
% 11.08/11.47 cnf('0.948.0.0',plain,
% 11.08/11.47 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.9.2.0','0.29.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.948.1.0',plain,
% 11.08/11.47 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.948.0.0']),
% 11.08/11.47 [weight('<119,29,9,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.948.2.0',plain,
% 11.08/11.47 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.948.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_938]).
% 11.08/11.47 cnf('0.949.0.0',plain,
% 11.08/11.47 ( join(composition(converse(converse(X1)),X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.948.2.0','0.671.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.949.0.1',plain,
% 11.08/11.47 ( join(composition(X1,X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.949.0.0','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.949.0.2',plain,
% 11.08/11.47 ( join(composition(X1,X2),composition(X1,X3)) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.949.0.1','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.949.0.3',plain,
% 11.08/11.47 ( join(composition(X1,X2),composition(X1,X3)) = composition(converse(converse(X1)),join(X2,converse(converse(X3)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.949.0.2','0.926.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.949.0.4',plain,
% 11.08/11.47 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,converse(converse(X3)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.949.0.3','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.1','L')]).
% 11.08/11.47 cnf('0.949.0.5',plain,
% 11.08/11.47 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.949.0.4','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2.2','L')]).
% 11.08/11.47 cnf('0.949.1.0',plain,
% 11.08/11.47 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.949.0.5']),
% 11.08/11.47 [weight('<103,948,671,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.949.2.0',plain,
% 11.08/11.47 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.949.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_939]).
% 11.08/11.47 cnf('0.1004.0.0',plain,
% 11.08/11.47 ( converse(complement(meet(one,composition(X1,top)))) = complement(meet(one,composition(top,converse(X1)))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.229.2.0','0.80.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.2','L')]).
% 11.08/11.47 cnf('0.1004.1.0',plain,
% 11.08/11.47 ( converse(complement(meet(one,composition(X1,top)))) = complement(meet(one,composition(top,converse(X1)))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1004.0.0']),
% 11.08/11.47 [weight('<119,229,80,[1,0,0,3]>')]).
% 11.08/11.47 cnf('0.1004.2.0',plain,
% 11.08/11.47 ( complement(meet(one,composition(top,converse(X1)))) = converse(complement(meet(one,composition(X1,top)))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1004.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_994]).
% 11.08/11.47 cnf('0.1015.0.0',plain,
% 11.08/11.47 ( meet(converse(X1),composition(X2,converse(X3))) = converse(meet(composition(X3,converse(X2)),X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.270.2.0','0.28.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.1015.1.0',plain,
% 11.08/11.47 ( meet(converse(X1),composition(X2,converse(X3))) = converse(meet(composition(X3,converse(X2)),X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1015.0.0']),
% 11.08/11.47 [weight('<119,270,28,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.1015.2.0',plain,
% 11.08/11.47 ( converse(meet(composition(X1,converse(X2)),X3)) = meet(converse(X3),composition(X2,converse(X1))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1015.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_1005]).
% 11.08/11.47 cnf('0.1016.0.0',plain,
% 11.08/11.47 ( meet(converse(X1),composition(converse(X2),X3)) = converse(meet(composition(converse(X3),X2),X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.270.2.0','0.29.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.1016.1.0',plain,
% 11.08/11.47 ( meet(converse(X1),composition(converse(X2),X3)) = converse(meet(composition(converse(X3),X2),X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1016.0.0']),
% 11.08/11.47 [weight('<119,270,29,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.1016.2.0',plain,
% 11.08/11.47 ( converse(meet(composition(converse(X1),X2),X3)) = meet(converse(X3),composition(converse(X2),X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1016.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_1006]).
% 11.08/11.47 cnf('0.1025.0.0',plain,
% 11.08/11.47 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.12.2.0','0.272.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.1025.1.0',plain,
% 11.08/11.47 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1025.0.0']),
% 11.08/11.47 [weight('<119,272,12,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.1025.2.0',plain,
% 11.08/11.47 ( converse(composition(X1,meet(X2,converse(X3)))) = composition(meet(converse(X2),X3),converse(X1)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1025.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_1015]).
% 11.08/11.47 cnf('0.1026.0.0',plain,
% 11.08/11.47 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.12.2.0','0.272.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.1026.1.0',plain,
% 11.08/11.47 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1026.0.0']),
% 11.08/11.47 [weight('<119,272,12,[0,0,0,3]>')]).
% 11.08/11.47 cnf('0.1026.2.0',plain,
% 11.08/11.47 ( converse(composition(meet(X1,converse(X2)),X3)) = composition(converse(X3),meet(converse(X1),X2)) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1026.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_1016]).
% 11.08/11.47 cnf('0.1090.0.0',plain,
% 11.08/11.47 ( meet(complement(one),composition(X1,converse(complement(X1)))) = meet(composition(X1,converse(complement(X1))),complement(zero)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.217.2.0','0.265.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.1090.0.1',plain,
% 11.08/11.47 ( meet(complement(one),composition(X1,converse(complement(X1)))) = meet(composition(X1,converse(complement(X1))),top) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1090.0.0','0.65.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2','L')]).
% 11.08/11.47 cnf('0.1090.0.2',plain,
% 11.08/11.47 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1090.0.1','0.75.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.1090.1.0',plain,
% 11.08/11.47 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1090.0.2']),
% 11.08/11.47 [weight('<125,265,217,[0,0,0,3]>')]).
% 11.08/11.47 cnf('0.1090.2.0',plain,
% 11.08/11.47 ( meet(complement(one),composition(X1,converse(complement(X1)))) = composition(X1,converse(complement(X1))) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1090.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_1078]).
% 11.08/11.47 cnf('0.1135.0.0',plain,
% 11.08/11.47 ( composition(X1,X2) = meet(composition(X1,X2),composition(join(X1,X3),X2)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.89.2.0','0.7.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.1135.1.0',plain,
% 11.08/11.47 ( composition(X1,X2) = meet(composition(X1,X2),composition(join(X1,X3),X2)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1135.0.0']),
% 11.08/11.47 [weight('<129,89,7,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.1135.2.0',plain,
% 11.08/11.47 ( meet(composition(X1,X2),composition(join(X1,X3),X2)) = composition(X1,X2) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1135.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_1123]).
% 11.08/11.47 cnf('0.1137.0.0',plain,
% 11.08/11.47 ( zero = meet(one,composition(X1,converse(complement(join(X1,X2))))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.680.2.0','0.1135.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.1137.1.0',plain,
% 11.08/11.47 ( zero = meet(one,composition(X1,converse(complement(join(X1,X2))))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1137.0.0']),
% 11.08/11.47 [weight('<109,1135,680,[0,0,0,2]>')]).
% 11.08/11.47 cnf('0.1137.2.0',plain,
% 11.08/11.47 ( meet(one,composition(X1,converse(complement(join(X1,X2))))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1137.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_1125]).
% 11.08/11.47 cnf('0.1138.0.0',plain,
% 11.08/11.47 ( zero = meet(one,composition(sk3,converse(complement(complement(composition(sk1,sk2)))))) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.1137.2.0','0.191.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.2.1.1','L')]).
% 11.08/11.47 cnf('0.1138.0.1',plain,
% 11.08/11.47 ( zero = meet(one,composition(sk3,converse(composition(sk1,sk2)))) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1138.0.0','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.2.2.1','L')]).
% 11.08/11.47 cnf('0.1138.1.0',plain,
% 11.08/11.47 ( zero = meet(one,composition(sk3,converse(composition(sk1,sk2)))) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1138.0.1']),
% 11.08/11.47 [weight('<89,1137,191,[1,0,0,6]>')]).
% 11.08/11.47 cnf('0.1138.2.0',plain,
% 11.08/11.47 ( meet(one,composition(sk3,converse(composition(sk1,sk2)))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1138.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_1126]).
% 11.08/11.47 cnf('0.1139.0.0',plain,
% 11.08/11.47 ( meet(one,converse(composition(sk3,converse(composition(sk1,sk2))))) = converse(zero) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.227.2.0','0.1138.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.1139.0.1',plain,
% 11.08/11.47 ( meet(one,composition(composition(sk1,sk2),converse(sk3))) = converse(zero) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1139.0.0','0.28.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.1139.0.2',plain,
% 11.08/11.47 ( meet(one,composition(sk1,composition(sk2,converse(sk3)))) = converse(zero) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1139.0.1','0.11.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2','L')]).
% 11.08/11.47 cnf('0.1139.0.3',plain,
% 11.08/11.47 ( meet(one,composition(sk1,composition(sk2,converse(sk3)))) = zero ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1139.0.2','0.77.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.1139.1.0',plain,
% 11.08/11.47 ( meet(one,composition(sk1,composition(sk2,converse(sk3)))) = zero ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1139.0.3']),
% 11.08/11.47 [weight('<89,1138,227,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.1139.2.0',plain,
% 11.08/11.47 ( meet(one,composition(sk1,composition(sk2,converse(sk3)))) = zero ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1139.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_1127]).
% 11.08/11.47 cnf('0.1262.0.0',plain,
% 11.08/11.47 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = join(zero,composition(X2,X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.7.2.0','0.237.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.1262.0.1',plain,
% 11.08/11.47 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1262.0.0','0.64.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.1262.1.0',plain,
% 11.08/11.47 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1262.0.1']),
% 11.08/11.47 [weight('<129,237,7,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.1262.2.0',plain,
% 11.08/11.47 ( composition(join(converse(complement(composition(X1,top))),X2),X1) = composition(X2,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1262.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_1250]).
% 11.08/11.47 cnf('0.1267.0.0',plain,
% 11.08/11.47 ( composition(join(complement(converse(complement(composition(X1,top)))),X2),X1) = composition(top,X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.1262.2.0','0.88.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.1267.0.1',plain,
% 11.08/11.47 ( composition(join(converse(complement(complement(composition(X1,top)))),X2),X1) = composition(top,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1267.0.0','0.222.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.1267.0.2',plain,
% 11.08/11.47 ( composition(join(converse(composition(X1,top)),X2),X1) = composition(top,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1267.0.1','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1.1','L')]).
% 11.08/11.47 cnf('0.1267.0.3',plain,
% 11.08/11.47 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1267.0.2','0.80.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.1267.1.0',plain,
% 11.08/11.47 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1267.0.3']),
% 11.08/11.47 [weight('<107,1262,88,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.1267.2.0',plain,
% 11.08/11.47 ( composition(join(composition(top,converse(X1)),X2),X1) = composition(top,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1267.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_1255]).
% 11.08/11.47 cnf('0.1269.0.0',plain,
% 11.08/11.47 ( composition(meet(complement(converse(complement(composition(X1,top)))),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.1262.2.0','0.187.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.1269.0.1',plain,
% 11.08/11.47 ( composition(meet(converse(complement(complement(composition(X1,top)))),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1269.0.0','0.222.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.1269.0.2',plain,
% 11.08/11.47 ( composition(meet(converse(composition(X1,top)),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1269.0.1','0.69.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1.1','L')]).
% 11.08/11.47 cnf('0.1269.0.3',plain,
% 11.08/11.47 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(join(converse(complement(composition(X1,top))),X2),X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1269.0.2','0.80.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.1269.0.4',plain,
% 11.08/11.47 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1269.0.3','0.1262.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.1269.1.0',plain,
% 11.08/11.47 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1269.0.4']),
% 11.08/11.47 [weight('<107,1262,187,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.1269.2.0',plain,
% 11.08/11.47 ( composition(meet(composition(top,converse(X1)),X2),X1) = composition(X2,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1269.1.0',theory(equality)]),
% 11.08/11.47 [u,rule_1257]).
% 11.08/11.47 cnf('0.1275.0.0',plain,
% 11.08/11.47 ( composition(top,X1) = composition(converse(join(composition(X1,top),X2)),X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.1267.2.0','0.791.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.1275.1.0',plain,
% 11.08/11.47 ( composition(top,X1) = composition(converse(join(composition(X1,top),X2)),X1) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1275.0.0']),
% 11.08/11.47 [weight('<107,1267,791,[1,0,0,1]>')]).
% 11.08/11.47 cnf('0.1275.2.0',plain,
% 11.08/11.47 ( composition(converse(join(composition(X1,top),X2)),X1) = composition(top,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1275.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_1263]).
% 11.08/11.47 cnf('0.1284.0.0',plain,
% 11.08/11.47 ( composition(top,X1) = composition(converse(composition(join(X1,X2),top)),X1) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.1275.2.0','0.7.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1.1','L')]).
% 11.08/11.47 cnf('0.1284.0.1',plain,
% 11.08/11.47 ( composition(top,X1) = composition(composition(top,converse(join(X1,X2))),X1) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1284.0.0','0.80.2.0',theory(equality)]),
% 11.08/11.47 [pos('R.1','L')]).
% 11.08/11.47 cnf('0.1284.0.2',plain,
% 11.08/11.47 ( composition(top,X1) = composition(top,composition(converse(join(X1,X2)),X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1284.0.1','0.11.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.1284.1.0',plain,
% 11.08/11.47 ( composition(top,X1) = composition(top,composition(converse(join(X1,X2)),X1)) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1284.0.2']),
% 11.08/11.47 [weight('<107,1275,7,[1,0,0,2]>')]).
% 11.08/11.47 cnf('0.1284.2.0',plain,
% 11.08/11.47 ( composition(top,composition(converse(join(X1,X2)),X1)) = composition(top,X1) ),
% 11.08/11.47 inference(orient,[status(thm)],['0.1284.1.0',theory(equality)]),
% 11.08/11.47 [x,rule_1271]).
% 11.08/11.47 cnf('0.1328.0.0',plain,
% 11.08/11.47 ( composition(converse(X1),meet(converse(composition(top,converse(X1))),X2)) = converse(composition(converse(X2),X1)) ),
% 11.08/11.47 inference(cp,[status(thm)],['0.1026.2.0','0.1269.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.1','L')]).
% 11.08/11.47 cnf('0.1328.0.1',plain,
% 11.08/11.47 ( composition(converse(X1),meet(composition(converse(converse(X1)),top),X2)) = converse(composition(converse(X2),X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1328.0.0','0.81.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1','L')]).
% 11.08/11.47 cnf('0.1328.0.2',plain,
% 11.08/11.47 ( composition(converse(X1),meet(composition(X1,top),X2)) = converse(composition(converse(X2),X1)) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1328.0.1','0.3.2.0',theory(equality)]),
% 11.08/11.47 [pos('L.2.1.1','L')]).
% 11.08/11.47 cnf('0.1328.0.3',plain,
% 11.08/11.47 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 11.08/11.47 inference(reduction,[status(thm)],['0.1328.0.2','0.29.2.0',theory(equality)]),
% 11.08/11.47 [pos('R','L')]).
% 11.08/11.47 cnf('0.1328.1.0',plain,
% 11.08/11.47 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 11.08/11.47 inference(weigh,[status(thm)],['0.1328.0.3']),
% 11.08/11.47 [weight('<116,1269,1026,[0,0,0,1]>')]).
% 11.08/11.47 cnf('0.1328.2.0',plain,
% 11.08/11.47 ( composition(converse(X1),meet(composition(X1,top),X2)) = composition(converse(X1),X2) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1328.1.0',theory(equality)]),
% 11.08/11.48 [u,rule_1315]).
% 11.08/11.48 cnf('0.1353.0.0',plain,
% 11.08/11.48 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(X1),meet(X1,X2))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1284.2.0','0.184.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.1.1','L')]).
% 11.08/11.48 cnf('0.1353.1.0',plain,
% 11.08/11.48 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(X1),meet(X1,X2))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1353.0.0']),
% 11.08/11.48 [weight('<125,1284,184,[1,0,0,4]>')]).
% 11.08/11.48 cnf('0.1353.2.0',plain,
% 11.08/11.48 ( composition(top,composition(converse(X1),meet(X1,X2))) = composition(top,meet(X1,X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1353.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_1340]).
% 11.08/11.48 cnf('0.1354.0.0',plain,
% 11.08/11.48 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(composition(top,converse(X1)),meet(composition(X1,top),X2))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1353.2.0','0.80.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.1','L')]).
% 11.08/11.48 cnf('0.1354.0.1',plain,
% 11.08/11.48 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(top,composition(converse(X1),meet(composition(X1,top),X2)))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1354.0.0','0.11.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.2','L')]).
% 11.08/11.48 cnf('0.1354.0.2',plain,
% 11.08/11.48 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),meet(composition(X1,top),X2))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1354.0.1','0.82.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.1354.0.3',plain,
% 11.08/11.48 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1354.0.2','0.1328.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.2','L')]).
% 11.08/11.48 cnf('0.1354.1.0',plain,
% 11.08/11.48 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1354.0.3']),
% 11.08/11.48 [weight('<111,1353,80,[1,0,0,3]>')]).
% 11.08/11.48 cnf('0.1354.2.0',plain,
% 11.08/11.48 ( composition(top,meet(composition(X1,top),X2)) = composition(top,composition(converse(X1),X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1354.1.0',theory(equality)]),
% 11.08/11.48 [u,rule_1341]).
% 11.08/11.48 cnf('0.1355.0.0',plain,
% 11.08/11.48 ( composition(top,composition(converse(X1),X2)) = composition(top,meet(X2,composition(X1,top))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1354.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.1355.1.0',plain,
% 11.08/11.48 ( composition(top,composition(converse(X1),X2)) = composition(top,meet(X2,composition(X1,top))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1355.0.0']),
% 11.08/11.48 [weight('<111,1354,18,[1,0,0,2]>')]).
% 11.08/11.48 cnf('0.1355.2.0',plain,
% 11.08/11.48 ( composition(top,meet(X1,composition(X2,top))) = composition(top,composition(converse(X2),X1)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1355.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_1342]).
% 11.08/11.48 cnf('0.1360.0.0',plain,
% 11.08/11.48 ( composition(meet(converse(composition(X1,top)),X2),converse(top)) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1025.2.0','0.1354.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.1','L')]).
% 11.08/11.48 cnf('0.1360.0.1',plain,
% 11.08/11.48 ( composition(meet(composition(top,converse(X1)),X2),converse(top)) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1360.0.0','0.80.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.1.1','L')]).
% 11.08/11.48 cnf('0.1360.0.2',plain,
% 11.08/11.48 ( composition(meet(composition(top,converse(X1)),X2),top) = converse(composition(top,composition(converse(X1),converse(X2)))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1360.0.1','0.54.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.1360.0.3',plain,
% 11.08/11.48 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(converse(composition(converse(X1),converse(X2))),top) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1360.0.2','0.81.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.1360.0.4',plain,
% 11.08/11.48 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(composition(converse(converse(X2)),X1),top) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1360.0.3','0.29.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1','L')]).
% 11.08/11.48 cnf('0.1360.0.5',plain,
% 11.08/11.48 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(converse(converse(X2)),composition(X1,top)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1360.0.4','0.11.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.1360.0.6',plain,
% 11.08/11.48 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1360.0.5','0.3.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1','L')]).
% 11.08/11.48 cnf('0.1360.1.0',plain,
% 11.08/11.48 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1360.0.6']),
% 11.08/11.48 [weight('<125,1354,1025,[0,0,0,1]>')]).
% 11.08/11.48 cnf('0.1360.2.0',plain,
% 11.08/11.48 ( composition(meet(composition(top,converse(X1)),X2),top) = composition(X2,composition(X1,top)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1360.1.0',theory(equality)]),
% 11.08/11.48 [u,rule_1347]).
% 11.08/11.48 cnf('0.1361.0.0',plain,
% 11.08/11.48 ( composition(X1,composition(converse(X2),top)) = composition(meet(composition(top,X2),X1),top) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1360.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.1.1.2','L')]).
% 11.08/11.48 cnf('0.1361.1.0',plain,
% 11.08/11.48 ( composition(X1,composition(converse(X2),top)) = composition(meet(composition(top,X2),X1),top) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1361.0.0']),
% 11.08/11.48 [weight('<111,1360,3,[1,0,0,4]>')]).
% 11.08/11.48 cnf('0.1361.2.0',plain,
% 11.08/11.48 ( composition(meet(composition(top,X1),X2),top) = composition(X2,composition(converse(X1),top)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1361.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_1348]).
% 11.08/11.48 cnf('0.1362.0.0',plain,
% 11.08/11.48 ( composition(X1,composition(converse(X2),top)) = composition(meet(X1,composition(top,X2)),top) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1361.2.0','0.18.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.1','L')]).
% 11.08/11.48 cnf('0.1362.1.0',plain,
% 11.08/11.48 ( composition(X1,composition(converse(X2),top)) = composition(meet(X1,composition(top,X2)),top) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1362.0.0']),
% 11.08/11.48 [weight('<111,1361,18,[1,0,0,1]>')]).
% 11.08/11.48 cnf('0.1362.2.0',plain,
% 11.08/11.48 ( composition(meet(X1,composition(top,X2)),top) = composition(X1,composition(converse(X2),top)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1362.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_1349]).
% 11.08/11.48 cnf('0.1501.0.0',plain,
% 11.08/11.48 ( meet(X1,one) = meet(one,join(X1,composition(X2,converse(complement(X2))))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.543.2.0','0.1090.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.1501.1.0',plain,
% 11.08/11.48 ( meet(X1,one) = meet(one,join(X1,composition(X2,converse(complement(X2))))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1501.0.0']),
% 11.08/11.48 [weight('<129,1090,543,[0,0,0,4]>')]).
% 11.08/11.48 cnf('0.1501.2.0',plain,
% 11.08/11.48 ( meet(one,join(X1,composition(X2,converse(complement(X2))))) = meet(X1,one) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1501.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_1488]).
% 11.08/11.48 cnf('0.1708.0.0',plain,
% 11.08/11.48 ( meet(X1,one) = meet(one,composition(X1,join(one,converse(complement(X1))))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1501.2.0','0.455.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.1708.1.0',plain,
% 11.08/11.48 ( meet(X1,one) = meet(one,composition(X1,join(one,converse(complement(X1))))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1708.0.0']),
% 11.08/11.48 [weight('<129,1501,455,[1,0,0,2]>')]).
% 11.08/11.48 cnf('0.1708.2.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,join(one,converse(complement(X1))))) = meet(X1,one) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1708.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_1695]).
% 11.08/11.48 cnf('0.1709.0.0',plain,
% 11.08/11.48 ( 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)))))))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1708.2.0','0.1004.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.2.1','L')]).
% 11.08/11.48 cnf('0.1709.0.1',plain,
% 11.08/11.48 ( 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)))))))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1709.0.0','0.562.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.1709.0.2',plain,
% 11.08/11.48 ( 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)))))))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1709.0.1','0.92.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.1709.0.3',plain,
% 11.08/11.48 ( meet(composition(top,converse(X1)),one) = meet(one,composition(meet(one,composition(top,converse(X1))),join(one,complement(meet(one,composition(X1,top)))))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1709.0.2','0.3.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.2.2.2','L')]).
% 11.08/11.48 cnf('0.1709.0.4',plain,
% 11.08/11.48 ( meet(composition(top,converse(X1)),one) = meet(one,composition(meet(one,composition(top,converse(X1))),top)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1709.0.3','0.101.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.2.2','L')]).
% 11.08/11.48 cnf('0.1709.0.5',plain,
% 11.08/11.48 ( meet(composition(top,converse(X1)),one) = meet(one,composition(one,composition(converse(converse(X1)),top))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1709.0.4','0.1362.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.2','L')]).
% 11.08/11.48 cnf('0.1709.0.6',plain,
% 11.08/11.48 ( meet(composition(top,converse(X1)),one) = meet(one,composition(converse(converse(X1)),top)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1709.0.5','0.32.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.2','L')]).
% 11.08/11.48 cnf('0.1709.0.7',plain,
% 11.08/11.48 ( meet(composition(top,converse(X1)),one) = meet(one,composition(X1,top)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1709.0.6','0.3.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.2.1','L')]).
% 11.08/11.48 cnf('0.1709.1.0',plain,
% 11.08/11.48 ( meet(composition(top,converse(X1)),one) = meet(one,composition(X1,top)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1709.0.7']),
% 11.08/11.48 [weight('<83,1708,1004,[1,0,0,7]>')]).
% 11.08/11.48 cnf('0.1709.1.1',plain,
% 11.08/11.48 ( meet(one,composition(top,converse(X1))) = meet(one,composition(X1,top)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1709.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.1709.2.0',plain,
% 11.08/11.48 ( meet(one,composition(top,converse(X1))) = meet(one,composition(X1,top)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1709.1.1',theory(equality)]),
% 11.08/11.48 [u,rule_1696]).
% 11.08/11.48 cnf('0.1710.0.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1709.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.1710.1.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1710.0.0']),
% 11.08/11.48 [weight('<83,1709,3,[1,0,0,4]>')]).
% 11.08/11.48 cnf('0.1710.2.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),top)) = meet(one,composition(top,X1)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1710.1.0',theory(equality)]),
% 11.08/11.48 [u,rule_1697]).
% 11.08/11.48 cnf('0.1712.0.0',plain,
% 11.08/11.48 ( meet(meet(X1,one),one) = meet(one,composition(meet(X1,one),top)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1708.2.0','0.131.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.1712.0.1',plain,
% 11.08/11.48 ( meet(X1,meet(one,one)) = meet(one,composition(meet(X1,one),top)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1712.0.0','0.562.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.1712.0.2',plain,
% 11.08/11.48 ( meet(X1,one) = meet(one,composition(meet(X1,one),top)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1712.0.1','0.68.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.1712.1.0',plain,
% 11.08/11.48 ( meet(X1,one) = meet(one,composition(meet(X1,one),top)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1712.0.2']),
% 11.08/11.48 [weight('<87,1708,131,[1,0,0,4]>')]).
% 11.08/11.48 cnf('0.1712.2.0',plain,
% 11.08/11.48 ( meet(one,composition(meet(X1,one),top)) = meet(X1,one) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1712.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_1699]).
% 11.08/11.48 cnf('0.1713.0.0',plain,
% 11.08/11.48 ( meet(one,converse(composition(meet(X1,one),top))) = converse(meet(X1,one)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.227.2.0','0.1712.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.1','L')]).
% 11.08/11.48 cnf('0.1713.0.1',plain,
% 11.08/11.48 ( meet(one,composition(top,converse(meet(X1,one)))) = converse(meet(X1,one)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1713.0.0','0.80.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.1713.0.2',plain,
% 11.08/11.48 ( meet(one,composition(meet(X1,one),top)) = converse(meet(X1,one)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1713.0.1','0.1709.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.1713.0.3',plain,
% 11.08/11.48 ( meet(X1,one) = converse(meet(X1,one)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1713.0.2','0.1712.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.1713.0.4',plain,
% 11.08/11.48 ( meet(X1,one) = meet(one,converse(X1)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1713.0.3','0.228.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.1713.1.0',plain,
% 11.08/11.48 ( meet(X1,one) = meet(one,converse(X1)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1713.0.4']),
% 11.08/11.48 [weight('<39,1712,227,[0,0,0,1]>')]).
% 11.08/11.48 cnf('0.1713.2.0',plain,
% 11.08/11.48 ( meet(one,converse(X1)) = meet(X1,one) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1713.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_1700]).
% 11.08/11.48 cnf('0.1745.0.0',plain,
% 11.08/11.48 ( composition(top,meet(one,composition(converse(X1),top))) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1353.2.0','0.1710.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.1745.0.1',plain,
% 11.08/11.48 ( composition(top,composition(converse(converse(X1)),one)) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1745.0.0','0.1355.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.1745.0.2',plain,
% 11.08/11.48 ( composition(top,converse(converse(X1))) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1745.0.1','0.2.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.1745.0.3',plain,
% 11.08/11.48 ( composition(top,X1) = composition(top,composition(converse(one),meet(one,composition(top,X1)))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1745.0.2','0.3.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.1745.0.4',plain,
% 11.08/11.48 ( composition(top,X1) = composition(top,meet(one,composition(top,X1))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1745.0.3','0.1353.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.1745.1.0',plain,
% 11.08/11.48 ( composition(top,X1) = composition(top,meet(one,composition(top,X1))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1745.0.4']),
% 11.08/11.48 [weight('<87,1710,1353,[0,0,0,5]>')]).
% 11.08/11.48 cnf('0.1745.2.0',plain,
% 11.08/11.48 ( composition(top,meet(one,composition(top,X1))) = composition(top,X1) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.1745.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_1732]).
% 11.08/11.48 cnf('0.1765.0.0',plain,
% 11.08/11.48 ( meet(composition(converse(X1),X2),one) = meet(one,composition(converse(X2),X1)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1713.2.0','0.29.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.1765.1.0',plain,
% 11.08/11.48 ( meet(composition(converse(X1),X2),one) = meet(one,composition(converse(X2),X1)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.1765.0.0']),
% 11.08/11.48 [weight('<90,1713,29,[1,0,0,2]>')]).
% 11.08/11.48 cnf('0.1765.1.1',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X2),X1)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.1765.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.1765.2.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X2),X1)) ),
% 11.08/11.48 inference(activate,[status(thm)],['0.1765.1.1']),
% 11.08/11.48 [equation_15]).
% 11.08/11.48 cnf('0.2633.0.0',plain,
% 11.08/11.48 ( zero = meet(converse(X1),composition(complement(converse(composition(X2,X1))),X2)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.752.2.0','0.12.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.1.1','L')]).
% 11.08/11.48 cnf('0.2633.0.1',plain,
% 11.08/11.48 ( zero = meet(converse(X1),composition(converse(complement(composition(X2,X1))),X2)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.2633.0.0','0.222.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.2.1','L')]).
% 11.08/11.48 cnf('0.2633.1.0',plain,
% 11.08/11.48 ( zero = meet(converse(X1),composition(converse(complement(composition(X2,X1))),X2)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.2633.0.1']),
% 11.08/11.48 [weight('<131,752,12,[1,0,0,4]>')]).
% 11.08/11.48 cnf('0.2633.2.0',plain,
% 11.08/11.48 ( meet(converse(X1),composition(converse(complement(composition(X2,X1))),X2)) = zero ),
% 11.08/11.48 inference(orient,[status(thm)],['0.2633.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_2613]).
% 11.08/11.48 cnf('0.5053.0.0',plain,
% 11.08/11.48 ( meet(composition(X1,X2),one) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1501.2.0','0.949.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.5053.1.0',plain,
% 11.08/11.48 ( meet(composition(X1,X2),one) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5053.0.0']),
% 11.08/11.48 [weight('<149,1501,949,[1,0,0,2]>')]).
% 11.08/11.48 cnf('0.5053.1.1',plain,
% 11.08/11.48 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(X2,converse(complement(X1))))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5053.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.5053.2.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,join(X2,converse(complement(X1))))) = meet(one,composition(X1,X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5053.1.1',theory(equality)]),
% 11.08/11.48 [x,rule_5029]).
% 11.08/11.48 cnf('0.5596.0.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5053.2.0','0.4.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.5596.1.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,X2)) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5596.0.0']),
% 11.08/11.48 [weight('<149,5053,4,[1,0,0,4]>')]).
% 11.08/11.48 cnf('0.5596.2.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,join(converse(complement(X1)),X2))) = meet(one,composition(X1,X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5596.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_5572]).
% 11.08/11.48 cnf('0.5606.0.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,join(X2,complement(converse(complement(X1)))))) = meet(one,composition(X1,top)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5596.2.0','0.98.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.5606.0.1',plain,
% 11.08/11.48 ( meet(one,composition(X1,join(X2,converse(complement(complement(X1)))))) = meet(one,composition(X1,top)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5606.0.0','0.222.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.2','L')]).
% 11.08/11.48 cnf('0.5606.0.2',plain,
% 11.08/11.48 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5606.0.1','0.69.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.2.1','L')]).
% 11.08/11.48 cnf('0.5606.1.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5606.0.2']),
% 11.08/11.48 [weight('<125,5596,98,[1,0,0,4]>')]).
% 11.08/11.48 cnf('0.5606.2.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,join(X2,converse(X1)))) = meet(one,composition(X1,top)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5606.1.0',theory(equality)]),
% 11.08/11.48 [u,rule_5582]).
% 11.08/11.48 cnf('0.5607.0.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(complement(converse(complement(X1))),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5596.2.0','0.187.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.5607.0.1',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(converse(complement(complement(X1))),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5607.0.0','0.222.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.1','L')]).
% 11.08/11.48 cnf('0.5607.0.2',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5607.0.1','0.69.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.1.1','L')]).
% 11.08/11.48 cnf('0.5607.0.3',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5607.0.2','0.5596.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5607.1.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5607.0.3']),
% 11.08/11.48 [weight('<125,5596,187,[1,0,0,4]>')]).
% 11.08/11.48 cnf('0.5607.2.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(converse(X1),X2))) = meet(one,composition(X1,X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5607.1.0',theory(equality)]),
% 11.08/11.48 [u,rule_5583]).
% 11.08/11.48 cnf('0.5612.0.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(X2,complement(converse(complement(X1)))))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5596.2.0','0.189.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.5612.0.1',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(X2,converse(complement(complement(X1)))))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5612.0.0','0.222.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.2','L')]).
% 11.08/11.48 cnf('0.5612.0.2',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(X2,converse(X1)))) = meet(one,composition(X1,join(converse(complement(X1)),X2))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5612.0.1','0.69.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.2.1','L')]).
% 11.08/11.48 cnf('0.5612.0.3',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(X2,converse(X1)))) = meet(one,composition(X1,X2)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5612.0.2','0.5596.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5612.1.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(X2,converse(X1)))) = meet(one,composition(X1,X2)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5612.0.3']),
% 11.08/11.48 [weight('<125,5596,189,[1,0,0,4]>')]).
% 11.08/11.48 cnf('0.5612.2.0',plain,
% 11.08/11.48 ( meet(one,composition(X1,meet(X2,converse(X1)))) = meet(one,composition(X1,X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5612.1.0',theory(equality)]),
% 11.08/11.48 [u,rule_5588]).
% 11.08/11.48 cnf('0.5616.0.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),top)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5606.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.2','L')]).
% 11.08/11.48 cnf('0.5616.0.1',plain,
% 11.08/11.48 ( meet(one,composition(top,X1)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5616.0.0','0.1710.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.5616.1.0',plain,
% 11.08/11.48 ( meet(one,composition(top,X1)) = meet(one,composition(converse(X1),join(X2,X1))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5616.0.1']),
% 11.08/11.48 [weight('<125,5606,3,[1,0,0,6]>')]).
% 11.08/11.48 cnf('0.5616.2.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),join(X2,X1))) = meet(one,composition(top,X1)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5616.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_5592]).
% 11.08/11.48 cnf('0.5780.0.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5607.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.1','L')]).
% 11.08/11.48 cnf('0.5780.1.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5780.0.0']),
% 11.08/11.48 [weight('<134,5607,3,[1,0,0,5]>')]).
% 11.08/11.48 cnf('0.5780.2.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5780.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_5756]).
% 11.08/11.48 cnf('0.5788.0.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X1),meet(X2,X1))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5612.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.2','L')]).
% 11.08/11.48 cnf('0.5788.1.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),X2)) = meet(one,composition(converse(X1),meet(X2,X1))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5788.0.0']),
% 11.08/11.48 [weight('<134,5612,3,[1,0,0,6]>')]).
% 11.08/11.48 cnf('0.5788.2.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(X1),meet(X2,X1))) = meet(one,composition(converse(X1),X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5788.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_5764]).
% 11.08/11.48 cnf('0.5813.0.0',plain,
% 11.08/11.48 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(meet(X1,X2)),X1)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5616.2.0','0.84.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.5813.1.0',plain,
% 11.08/11.48 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(meet(X1,X2)),X1)) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5813.0.0']),
% 11.08/11.48 [weight('<143,5616,84,[1,0,0,5]>')]).
% 11.08/11.48 cnf('0.5813.1.1',plain,
% 11.08/11.48 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),meet(X1,X2))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5813.1.0','0.1765.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5813.1.2',plain,
% 11.08/11.48 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5813.1.1','0.5780.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5813.2.0',plain,
% 11.08/11.48 ( meet(one,composition(top,meet(X1,X2))) = meet(one,composition(converse(X1),X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5813.1.2',theory(equality)]),
% 11.08/11.48 [u,rule_5789]).
% 11.08/11.48 cnf('0.5815.0.0',plain,
% 11.08/11.48 ( composition(top,meet(one,composition(top,meet(X1,X2)))) = composition(top,composition(converse(one),meet(one,composition(converse(X1),X2)))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1353.2.0','0.5813.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.5815.0.1',plain,
% 11.08/11.48 ( composition(top,meet(X1,X2)) = composition(top,composition(converse(one),meet(one,composition(converse(X1),X2)))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5815.0.0','0.1745.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.5815.0.2',plain,
% 11.08/11.48 ( composition(top,meet(X1,X2)) = composition(top,meet(one,composition(converse(X1),X2))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5815.0.1','0.1353.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5815.1.0',plain,
% 11.08/11.48 ( composition(top,meet(X1,X2)) = composition(top,meet(one,composition(converse(X1),X2))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5815.0.2']),
% 11.08/11.48 [weight('<125,5813,1353,[0,0,0,5]>')]).
% 11.08/11.48 cnf('0.5815.2.0',plain,
% 11.08/11.48 ( composition(top,meet(one,composition(converse(X1),X2))) = composition(top,meet(X1,X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5815.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_5791]).
% 11.08/11.48 cnf('0.5816.0.0',plain,
% 11.08/11.48 ( composition(top,meet(converse(X1),X2)) = composition(top,meet(one,composition(X1,X2))) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5815.2.0','0.3.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2.1','L')]).
% 11.08/11.48 cnf('0.5816.1.0',plain,
% 11.08/11.48 ( composition(top,meet(converse(X1),X2)) = composition(top,meet(one,composition(X1,X2))) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5816.0.0']),
% 11.08/11.48 [weight('<111,5815,3,[1,0,0,5]>')]).
% 11.08/11.48 cnf('0.5816.2.0',plain,
% 11.08/11.48 ( composition(top,meet(one,composition(X1,X2))) = composition(top,meet(converse(X1),X2)) ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5816.1.0',theory(equality)]),
% 11.08/11.48 [x,rule_5792]).
% 11.08/11.48 cnf('0.5817.0.0',plain,
% 11.08/11.48 ( composition(top,meet(converse(sk1),composition(sk2,converse(sk3)))) = composition(top,zero) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5816.2.0','0.1139.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.5817.0.1',plain,
% 11.08/11.48 ( composition(top,meet(converse(sk1),composition(sk2,converse(sk3)))) = zero ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5817.0.0','0.70.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5817.1.0',plain,
% 11.08/11.48 ( composition(top,meet(converse(sk1),composition(sk2,converse(sk3)))) = zero ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5817.0.1']),
% 11.08/11.48 [weight('<109,5816,1139,[1,0,0,2]>')]).
% 11.08/11.48 cnf('0.5817.2.0',plain,
% 11.08/11.48 ( composition(top,meet(converse(sk1),composition(sk2,converse(sk3)))) = zero ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5817.1.0',theory(equality)]),
% 11.08/11.48 [u,rule_5793]).
% 11.08/11.48 cnf('0.5818.0.0',plain,
% 11.08/11.48 ( zero = meet(converse(meet(converse(sk1),composition(sk2,converse(sk3)))),composition(converse(complement(zero)),top)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.2633.2.0','0.5817.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.1.1.1','L')]).
% 11.08/11.48 cnf('0.5818.0.1',plain,
% 11.08/11.48 ( zero = converse(meet(composition(top,complement(zero)),meet(converse(sk1),composition(sk2,converse(sk3))))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5818.0.0','0.825.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5818.0.2',plain,
% 11.08/11.48 ( zero = meet(converse(meet(composition(sk2,converse(sk3)),composition(top,complement(zero)))),sk1) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5818.0.1','0.836.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5818.0.3',plain,
% 11.08/11.48 ( zero = meet(meet(converse(composition(top,complement(zero))),composition(sk3,converse(sk2))),sk1) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5818.0.2','0.1015.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1','L')]).
% 11.08/11.48 cnf('0.5818.0.4',plain,
% 11.08/11.48 ( zero = meet(converse(composition(top,complement(zero))),meet(composition(sk3,converse(sk2)),sk1)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5818.0.3','0.562.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5818.0.5',plain,
% 11.08/11.48 ( zero = meet(composition(converse(complement(zero)),top),meet(composition(sk3,converse(sk2)),sk1)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5818.0.4','0.81.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1','L')]).
% 11.08/11.48 cnf('0.5818.0.6',plain,
% 11.08/11.48 ( zero = meet(composition(converse(top),top),meet(composition(sk3,converse(sk2)),sk1)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5818.0.5','0.65.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1.1.1','L')]).
% 11.08/11.48 cnf('0.5818.0.7',plain,
% 11.08/11.48 ( zero = meet(composition(top,top),meet(composition(sk3,converse(sk2)),sk1)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5818.0.6','0.54.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1.1','L')]).
% 11.08/11.48 cnf('0.5818.0.8',plain,
% 11.08/11.48 ( zero = meet(top,meet(composition(sk3,converse(sk2)),sk1)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5818.0.7','0.57.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1','L')]).
% 11.08/11.48 cnf('0.5818.0.9',plain,
% 11.08/11.48 ( zero = meet(composition(sk3,converse(sk2)),sk1) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5818.0.8','0.74.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5818.1.0',plain,
% 11.08/11.48 ( zero = meet(composition(sk3,converse(sk2)),sk1) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5818.0.9']),
% 11.08/11.48 [weight('<55,5817,2633,[0,0,0,6]>')]).
% 11.08/11.48 cnf('0.5818.1.1',plain,
% 11.08/11.48 ( zero = meet(sk1,composition(sk3,converse(sk2))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5818.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5818.2.0',plain,
% 11.08/11.48 ( meet(sk1,composition(sk3,converse(sk2))) = zero ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5818.1.1',theory(equality)]),
% 11.08/11.48 [x,rule_5794]).
% 11.08/11.48 cnf('0.5825.0.0',plain,
% 11.08/11.48 ( meet(one,composition(converse(composition(sk3,converse(sk2))),sk1)) = meet(one,composition(converse(composition(sk3,converse(sk2))),zero)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.5788.2.0','0.5818.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.5825.0.1',plain,
% 11.08/11.48 ( meet(one,composition(composition(sk2,converse(sk3)),sk1)) = meet(one,composition(converse(composition(sk3,converse(sk2))),zero)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5825.0.0','0.28.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.1','L')]).
% 11.08/11.48 cnf('0.5825.0.2',plain,
% 11.08/11.48 ( meet(one,composition(sk2,composition(converse(sk3),sk1))) = meet(one,composition(converse(composition(sk3,converse(sk2))),zero)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5825.0.1','0.11.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2','L')]).
% 11.08/11.48 cnf('0.5825.0.3',plain,
% 11.08/11.48 ( meet(one,composition(sk2,composition(converse(sk3),sk1))) = meet(one,zero) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5825.0.2','0.70.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.2','L')]).
% 11.08/11.48 cnf('0.5825.0.4',plain,
% 11.08/11.48 ( meet(one,composition(sk2,composition(converse(sk3),sk1))) = zero ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5825.0.3','0.72.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5825.1.0',plain,
% 11.08/11.48 ( meet(one,composition(sk2,composition(converse(sk3),sk1))) = zero ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5825.0.4']),
% 11.08/11.48 [weight('<89,5818,5788,[0,0,0,5]>')]).
% 11.08/11.48 cnf('0.5825.2.0',plain,
% 11.08/11.48 ( meet(one,composition(sk2,composition(converse(sk3),sk1))) = zero ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5825.1.0',theory(equality)]),
% 11.08/11.48 [u,rule_5801]).
% 11.08/11.48 cnf('0.5851.0.0',plain,
% 11.08/11.48 ( composition(top,meet(one,composition(sk2,composition(converse(sk3),sk1)))) = composition(top,composition(converse(one),zero)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.1353.2.0','0.5825.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.2','L')]).
% 11.08/11.48 cnf('0.5851.0.1',plain,
% 11.08/11.48 ( composition(top,meet(converse(sk2),composition(converse(sk3),sk1))) = composition(top,composition(converse(one),zero)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5851.0.0','0.5816.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('0.5851.0.2',plain,
% 11.08/11.48 ( composition(top,meet(converse(sk2),composition(converse(sk3),sk1))) = composition(top,zero) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5851.0.1','0.70.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.2','L')]).
% 11.08/11.48 cnf('0.5851.0.3',plain,
% 11.08/11.48 ( composition(top,meet(converse(sk2),composition(converse(sk3),sk1))) = zero ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5851.0.2','0.70.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5851.1.0',plain,
% 11.08/11.48 ( composition(top,meet(converse(sk2),composition(converse(sk3),sk1))) = zero ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5851.0.3']),
% 11.08/11.48 [weight('<109,5825,1353,[0,0,0,5]>')]).
% 11.08/11.48 cnf('0.5851.2.0',plain,
% 11.08/11.48 ( composition(top,meet(converse(sk2),composition(converse(sk3),sk1))) = zero ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5851.1.0',theory(equality)]),
% 11.08/11.48 [u,rule_5827]).
% 11.08/11.48 cnf('0.5852.0.0',plain,
% 11.08/11.48 ( zero = meet(converse(meet(converse(sk2),composition(converse(sk3),sk1))),composition(converse(complement(zero)),top)) ),
% 11.08/11.48 inference(cp,[status(thm)],['0.2633.2.0','0.5851.2.0',theory(equality)]),
% 11.08/11.48 [pos('L.2.1.1.1','L')]).
% 11.08/11.48 cnf('0.5852.0.1',plain,
% 11.08/11.48 ( zero = converse(meet(composition(top,complement(zero)),meet(converse(sk2),composition(converse(sk3),sk1)))) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5852.0.0','0.825.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5852.0.2',plain,
% 11.08/11.48 ( zero = meet(converse(meet(composition(converse(sk3),sk1),composition(top,complement(zero)))),sk2) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5852.0.1','0.836.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5852.0.3',plain,
% 11.08/11.48 ( zero = meet(meet(converse(composition(top,complement(zero))),composition(converse(sk1),sk3)),sk2) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5852.0.2','0.1016.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1','L')]).
% 11.08/11.48 cnf('0.5852.0.4',plain,
% 11.08/11.48 ( zero = meet(converse(composition(top,complement(zero))),meet(composition(converse(sk1),sk3),sk2)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5852.0.3','0.562.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5852.0.5',plain,
% 11.08/11.48 ( zero = meet(composition(converse(complement(zero)),top),meet(composition(converse(sk1),sk3),sk2)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5852.0.4','0.81.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1','L')]).
% 11.08/11.48 cnf('0.5852.0.6',plain,
% 11.08/11.48 ( zero = meet(composition(converse(top),top),meet(composition(converse(sk1),sk3),sk2)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5852.0.5','0.65.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1.1.1','L')]).
% 11.08/11.48 cnf('0.5852.0.7',plain,
% 11.08/11.48 ( zero = meet(composition(top,top),meet(composition(converse(sk1),sk3),sk2)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5852.0.6','0.54.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1.1','L')]).
% 11.08/11.48 cnf('0.5852.0.8',plain,
% 11.08/11.48 ( zero = meet(top,meet(composition(converse(sk1),sk3),sk2)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5852.0.7','0.57.2.0',theory(equality)]),
% 11.08/11.48 [pos('R.1','L')]).
% 11.08/11.48 cnf('0.5852.0.9',plain,
% 11.08/11.48 ( zero = meet(composition(converse(sk1),sk3),sk2) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5852.0.8','0.74.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5852.1.0',plain,
% 11.08/11.48 ( zero = meet(composition(converse(sk1),sk3),sk2) ),
% 11.08/11.48 inference(weigh,[status(thm)],['0.5852.0.9']),
% 11.08/11.48 [weight('<55,5851,2633,[0,0,0,6]>')]).
% 11.08/11.48 cnf('0.5852.1.1',plain,
% 11.08/11.48 ( zero = meet(sk2,composition(converse(sk1),sk3)) ),
% 11.08/11.48 inference(reduction,[status(thm)],['0.5852.1.0','0.18.2.0',theory(equality)]),
% 11.08/11.48 [pos('R','L')]).
% 11.08/11.48 cnf('0.5852.2.0',plain,
% 11.08/11.48 ( meet(sk2,composition(converse(sk1),sk3)) = zero ),
% 11.08/11.48 inference(orient,[status(thm)],['0.5852.1.1',theory(equality)]),
% 11.08/11.48 [x,rule_5828]).
% 11.08/11.48 cnf('1.0.0.0',conjecture,
% 11.08/11.48 ( meet(sk2,composition(converse(sk1),sk3)) = zero ),
% 11.08/11.48 file('/tmp/WALDMEISTER_22213_n012',conjecture_1)).
% 11.08/11.48 cnf('1.0.0.1',plain,
% 11.08/11.48 ( zero = zero ),
% 11.08/11.48 inference(reduction,[status(thm)],['1.0.0.0','0.5852.2.0',theory(equality)]),
% 11.08/11.48 [pos('L','L')]).
% 11.08/11.48 cnf('1.0.0.2',plain,
% 11.08/11.48 ( $true ),
% 11.08/11.48 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 11.08/11.48 [conjecture_1]).
% 11.08/11.48
% 11.08/11.48 Proved Goals:
% 11.08/11.48 No. 1: meet(sk2,composition(converse(sk1),sk3)) ?= zero joined, current: zero = zero
% 11.08/11.48 1 goal was specified, which was proved.
% 11.08/11.48 % SZS output end CNFRefutation
% 11.08/11.48 #END OF PROOF
% 11.08/11.48
% 11.08/11.48 Problem WALDMEISTER_22213_n012
% 11.08/11.48 CPs.gen 4628699
% 11.08/11.48 CPs.reexp 0
% 11.08/11.48 Select 231314
% 11.08/11.48 R 5828
% 11.08/11.48 E 24
% 11.08/11.48 vsize 12.0M
% 11.08/11.48 rss 7.5M
% 11.08/11.48 process.time 10.508s
% 11.08/11.48 wallclock.time 10.511s
% 11.08/11.48 status S
% 11.08/11.48
% 11.08/11.48
% 11.08/11.48 Waldmeister states: Goal proved.
% 11.08/11.48 % SZS status Unsatisfiable
%------------------------------------------------------------------------------