TSTP Solution File: REL010-2 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL010-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n006.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 20:09:39 EDT 2022
% Result : Unsatisfiable 1.33s 1.78s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : REL010-2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n006.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 10:39:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.99 ********************************************************************************
% 0.57/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.99 * |/ | \/ | *
% 0.57/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.99 * A. Jaeger and B. Loechner | | *
% 0.57/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.99 ********************************************************************************
% 0.57/0.99
% 0.57/0.99
% 0.57/0.99 Goals:
% 0.57/0.99 ------
% 0.57/0.99
% 0.57/0.99 ( 1) meet(sk2,composition(converse(sk1),sk3)) ?=? zero
% 0.57/0.99
% 0.57/0.99 Detected structure: Orkus
% 0.57/0.99 ********************************************************************************
% 0.57/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.99 ********************************************************************************
% 0.57/0.99
% 1.33/1.78 joined goal: 1 meet(sk2,composition(converse(sk1),sk3)) ?= zero to zero
% 1.33/1.78 goal joined
% 1.33/1.78 % SZS status Unsatisfiable
% 1.33/1.78 #START OF PROOF
% 1.33/1.78 % SZS output start CNFRefutation
% 1.33/1.78 cnf('0.1.0.0',axiom,
% 1.33/1.78 ( X1 = composition(X1,one) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.1.1.0',plain,
% 1.33/1.78 ( X1 = composition(X1,one) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.33/1.78 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.1.2.0',plain,
% 1.33/1.78 ( composition(X1,one) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_1]).
% 1.33/1.78 cnf('0.3.0.0',axiom,
% 1.33/1.78 ( X1 = converse(converse(X1)) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.3.1.0',plain,
% 1.33/1.78 ( X1 = converse(converse(X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.33/1.78 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.33/1.78 cnf('0.3.2.0',plain,
% 1.33/1.78 ( converse(converse(X1)) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_3]).
% 1.33/1.78 cnf('0.4.0.0',axiom,
% 1.33/1.78 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.4.1.0',plain,
% 1.33/1.78 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.33/1.78 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.33/1.78 cnf('0.4.2.0',plain,
% 1.33/1.78 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_4]).
% 1.33/1.78 cnf('0.5.0.0',axiom,
% 1.33/1.78 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.5.1.0',plain,
% 1.33/1.78 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.33/1.78 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.33/1.78 cnf('0.5.2.0',plain,
% 1.33/1.78 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_5]).
% 1.33/1.78 cnf('0.6.0.0',axiom,
% 1.33/1.78 ( composition(meet(X1,composition(X2,converse(X3))),meet(X3,composition(converse(X1),X2))) = join(meet(composition(X1,X3),X2),composition(meet(X1,composition(X2,converse(X3))),meet(X3,composition(converse(X1),X2)))) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.6.1.0',plain,
% 1.33/1.78 ( composition(meet(X1,composition(X2,converse(X3))),meet(X3,composition(converse(X1),X2))) = join(meet(composition(X1,X3),X2),composition(meet(X1,composition(X2,converse(X3))),meet(X3,composition(converse(X1),X2)))) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.33/1.78 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.33/1.78 cnf('0.6.2.0',plain,
% 1.33/1.78 ( join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_6]).
% 1.33/1.78 cnf('0.7.0.0',axiom,
% 1.33/1.78 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.7.1.0',plain,
% 1.33/1.78 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.33/1.78 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.33/1.78 cnf('0.7.2.0',plain,
% 1.33/1.78 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_7]).
% 1.33/1.78 cnf('0.8.0.0',axiom,
% 1.33/1.78 ( join(X1,X2) = join(X2,X1) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.8.1.0',plain,
% 1.33/1.78 ( join(X1,X2) = join(X2,X1) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.33/1.78 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.33/1.78 cnf('0.8.2.0',plain,
% 1.33/1.78 ( join(X1,X2) = join(X2,X1) ),
% 1.33/1.78 inference(activate,[status(thm)],['0.8.1.0']),
% 1.33/1.78 [equation_1]).
% 1.33/1.78 cnf('0.9.0.0',axiom,
% 1.33/1.78 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.9.1.0',plain,
% 1.33/1.78 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.33/1.78 [weight('<8,0,0,[0,0,0,9]>')]).
% 1.33/1.78 cnf('0.9.2.0',plain,
% 1.33/1.78 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_8]).
% 1.33/1.78 cnf('0.10.0.0',axiom,
% 1.33/1.78 ( join(X1,complement(X1)) = top ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.10.1.0',plain,
% 1.33/1.78 ( join(X1,complement(X1)) = top ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.33/1.78 [weight('<9,0,0,[0,0,0,10]>')]).
% 1.33/1.78 cnf('0.10.2.0',plain,
% 1.33/1.78 ( join(X1,complement(X1)) = top ),
% 1.33/1.78 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_9]).
% 1.33/1.78 cnf('0.11.0.0',axiom,
% 1.33/1.78 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.11.1.0',plain,
% 1.33/1.78 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.33/1.78 [weight('<10,0,0,[0,0,0,11]>')]).
% 1.33/1.78 cnf('0.11.1.1',plain,
% 1.33/1.78 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.11.1.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.11.2.0',plain,
% 1.33/1.78 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 1.33/1.78 [u,rule_10]).
% 1.33/1.78 cnf('0.14.0.0',axiom,
% 1.33/1.78 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.14.1.0',plain,
% 1.33/1.78 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.14.0.0']),
% 1.33/1.78 [weight('<13,0,0,[0,0,0,14]>')]).
% 1.33/1.78 cnf('0.14.2.0',plain,
% 1.33/1.78 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_13]).
% 1.33/1.78 cnf('0.15.0.0',axiom,
% 1.33/1.78 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.15.1.0',plain,
% 1.33/1.78 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.15.0.0']),
% 1.33/1.78 [weight('<14,0,0,[0,0,0,15]>')]).
% 1.33/1.78 cnf('0.15.2.0',plain,
% 1.33/1.78 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_14]).
% 1.33/1.78 cnf('0.16.0.0',axiom,
% 1.33/1.78 ( meet(X1,complement(X1)) = zero ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.16.1.0',plain,
% 1.33/1.78 ( meet(X1,complement(X1)) = zero ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.33/1.78 [weight('<15,0,0,[0,0,0,16]>')]).
% 1.33/1.78 cnf('0.16.2.0',plain,
% 1.33/1.78 ( meet(X1,complement(X1)) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_15]).
% 1.33/1.78 cnf('0.17.0.0',axiom,
% 1.33/1.78 ( meet(composition(sk1,sk2),sk3) = zero ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.17.1.0',plain,
% 1.33/1.78 ( meet(composition(sk1,sk2),sk3) = zero ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.17.0.0']),
% 1.33/1.78 [weight('<16,0,0,[0,0,0,17]>')]).
% 1.33/1.78 cnf('0.17.2.0',plain,
% 1.33/1.78 ( meet(composition(sk1,sk2),sk3) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_16]).
% 1.33/1.78 cnf('0.18.0.0',plain,
% 1.33/1.78 ( meet(X1,complement(X1)) = complement(top) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.15.2.0','0.10.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.18.1.0',plain,
% 1.33/1.78 ( meet(X1,complement(X1)) = complement(top) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.18.0.0']),
% 1.33/1.78 [weight('<34,15,10,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.18.1.1',plain,
% 1.33/1.78 ( zero = complement(top) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.18.1.0','0.16.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.18.2.0',plain,
% 1.33/1.78 ( complement(top) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.18.1.1',theory(equality)]),
% 1.33/1.78 [x,rule_17]).
% 1.33/1.78 cnf('0.21.0.0',plain,
% 1.33/1.78 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.15.2.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.21.0.1',plain,
% 1.33/1.78 ( meet(X1,X2) = meet(X2,X1) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.21.0.0','0.15.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.21.1.0',plain,
% 1.33/1.78 ( meet(X1,X2) = meet(X2,X1) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.21.0.1']),
% 1.33/1.78 [weight('<48,15,8,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.21.2.0',plain,
% 1.33/1.78 ( meet(X1,X2) = meet(X2,X1) ),
% 1.33/1.78 inference(activate,[status(thm)],['0.21.1.0']),
% 1.33/1.78 [equation_2]).
% 1.33/1.78 cnf('0.22.0.0',plain,
% 1.33/1.78 ( meet(composition(sk1,sk2),sk3) = zero ),
% 1.33/1.78 inference(interreduction_right,[status(thm)],['0.17.2.0'])).
% 1.33/1.78 cnf('0.22.1.0',plain,
% 1.33/1.78 ( meet(composition(sk1,sk2),sk3) = zero ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.22.0.0']),
% 1.33/1.78 [weight('<41,17,21,[0,0,0,0]>')]).
% 1.33/1.78 cnf('0.22.1.1',plain,
% 1.33/1.78 ( meet(sk3,composition(sk1,sk2)) = zero ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.22.1.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.22.2.0',plain,
% 1.33/1.78 ( meet(sk3,composition(sk1,sk2)) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.22.1.1',theory(equality)]),
% 1.33/1.78 [u,rule_20]).
% 1.33/1.78 cnf('0.24.0.0',plain,
% 1.33/1.78 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.15.2.0','0.18.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1.1','L')]).
% 1.33/1.78 cnf('0.24.1.0',plain,
% 1.33/1.78 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.24.0.0']),
% 1.33/1.78 [weight('<53,18,15,[0,0,0,2]>')]).
% 1.33/1.78 cnf('0.24.2.0',plain,
% 1.33/1.78 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_22]).
% 1.33/1.78 cnf('0.29.0.0',plain,
% 1.33/1.78 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.29.1.0',plain,
% 1.33/1.78 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.29.0.0']),
% 1.33/1.78 [weight('<59,7,3,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.29.2.0',plain,
% 1.33/1.78 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_27]).
% 1.33/1.78 cnf('0.30.0.0',plain,
% 1.33/1.78 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.30.1.0',plain,
% 1.33/1.78 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.30.0.0']),
% 1.33/1.78 [weight('<59,7,3,[1,0,0,3]>')]).
% 1.33/1.78 cnf('0.30.2.0',plain,
% 1.33/1.78 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_28]).
% 1.33/1.78 cnf('0.31.0.0',plain,
% 1.33/1.78 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.30.2.0','0.1.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.31.0.1',plain,
% 1.33/1.78 ( composition(converse(one),X1) = X1 ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.31.0.0','0.3.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.31.1.0',plain,
% 1.33/1.78 ( composition(converse(one),X1) = X1 ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.31.0.1']),
% 1.33/1.78 [weight('<29,30,1,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.31.2.0',plain,
% 1.33/1.78 ( composition(converse(one),X1) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_29]).
% 1.33/1.78 cnf('0.32.0.0',plain,
% 1.33/1.78 ( one = converse(one) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.31.2.0','0.1.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.32.1.0',plain,
% 1.33/1.78 ( one = converse(one) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.32.0.0']),
% 1.33/1.78 [weight('<11,31,1,[1,0,0,0]>')]).
% 1.33/1.78 cnf('0.32.2.0',plain,
% 1.33/1.78 ( converse(one) = one ),
% 1.33/1.78 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_30]).
% 1.33/1.78 cnf('0.33.0.0',plain,
% 1.33/1.78 ( composition(converse(one),X1) = X1 ),
% 1.33/1.78 inference(interreduction_right,[status(thm)],['0.31.2.0'])).
% 1.33/1.78 cnf('0.33.0.1',plain,
% 1.33/1.78 ( composition(one,X1) = X1 ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.33.0.0','0.32.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.33.1.0',plain,
% 1.33/1.78 ( composition(one,X1) = X1 ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.33.0.1']),
% 1.33/1.78 [weight('<19,31,32,[0,0,0,0]>')]).
% 1.33/1.78 cnf('0.33.2.0',plain,
% 1.33/1.78 ( composition(one,X1) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_31]).
% 1.33/1.78 cnf('0.34.0.0',plain,
% 1.33/1.78 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.14.2.0','0.32.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.34.1.0',plain,
% 1.33/1.78 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.34.0.0']),
% 1.33/1.78 [weight('<44,32,14,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.34.2.0',plain,
% 1.33/1.78 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_32]).
% 1.33/1.78 cnf('0.36.0.0',plain,
% 1.33/1.78 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.11.2.0','0.33.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2.2.1','L')]).
% 1.33/1.78 cnf('0.36.0.1',plain,
% 1.33/1.78 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.36.0.0','0.32.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.2.1','L')]).
% 1.33/1.78 cnf('0.36.0.2',plain,
% 1.33/1.78 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.36.0.1','0.33.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.2','L')]).
% 1.33/1.78 cnf('0.36.1.0',plain,
% 1.33/1.78 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.36.0.2']),
% 1.33/1.78 [weight('<47,33,11,[0,0,0,7]>')]).
% 1.33/1.78 cnf('0.36.2.0',plain,
% 1.33/1.78 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_34]).
% 1.33/1.78 cnf('0.37.0.0',plain,
% 1.33/1.78 ( complement(top) = join(zero,complement(top)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.36.2.0','0.18.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.37.0.1',plain,
% 1.33/1.78 ( zero = join(zero,complement(top)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.37.0.0','0.18.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.37.0.2',plain,
% 1.33/1.78 ( zero = join(zero,zero) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.37.0.1','0.18.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.2','L')]).
% 1.33/1.78 cnf('0.37.1.0',plain,
% 1.33/1.78 ( zero = join(zero,zero) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.37.0.2']),
% 1.33/1.78 [weight('<19,36,18,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.37.2.0',plain,
% 1.33/1.78 ( join(zero,zero) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_35]).
% 1.33/1.78 cnf('0.40.0.0',plain,
% 1.33/1.78 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.15.2.0','0.36.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.40.1.0',plain,
% 1.33/1.78 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.40.0.0']),
% 1.33/1.78 [weight('<48,36,15,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.40.2.0',plain,
% 1.33/1.78 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.33/1.78 inference(activate,[status(thm)],['0.40.1.0']),
% 1.33/1.78 [equation_3]).
% 1.33/1.78 cnf('0.41.0.0',plain,
% 1.33/1.78 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.9.2.0','0.37.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.41.1.0',plain,
% 1.33/1.78 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.41.0.0']),
% 1.33/1.78 [weight('<53,37,9,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.41.2.0',plain,
% 1.33/1.78 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_38]).
% 1.33/1.78 cnf('0.42.0.0',plain,
% 1.33/1.78 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.41.2.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.42.1.0',plain,
% 1.33/1.78 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.42.0.0']),
% 1.33/1.78 [weight('<53,41,8,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.42.2.0',plain,
% 1.33/1.78 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_39]).
% 1.33/1.78 cnf('0.45.0.0',plain,
% 1.33/1.78 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.14.2.0','0.3.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.45.1.0',plain,
% 1.33/1.78 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.45.0.0']),
% 1.33/1.78 [weight('<59,14,3,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.45.2.0',plain,
% 1.33/1.78 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_42]).
% 1.33/1.78 cnf('0.46.0.0',plain,
% 1.33/1.78 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.14.2.0','0.3.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.46.1.0',plain,
% 1.33/1.78 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.46.0.0']),
% 1.33/1.78 [weight('<59,14,3,[1,0,0,3]>')]).
% 1.33/1.78 cnf('0.46.2.0',plain,
% 1.33/1.78 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_43]).
% 1.33/1.78 cnf('0.47.0.0',plain,
% 1.33/1.78 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.45.2.0','0.10.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.47.1.0',plain,
% 1.33/1.78 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.47.0.0']),
% 1.33/1.78 [weight('<62,45,10,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.47.2.0',plain,
% 1.33/1.78 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_44]).
% 1.33/1.78 cnf('0.50.0.0',plain,
% 1.33/1.78 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.50.1.0',plain,
% 1.33/1.78 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.50.0.0']),
% 1.33/1.78 [weight('<69,10,9,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.50.2.0',plain,
% 1.33/1.78 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_47]).
% 1.33/1.78 cnf('0.51.0.0',plain,
% 1.33/1.78 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.50.2.0','0.36.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.51.0.1',plain,
% 1.33/1.78 ( join(top,complement(X1)) = top ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.51.0.0','0.10.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.51.1.0',plain,
% 1.33/1.78 ( join(top,complement(X1)) = top ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.51.0.1']),
% 1.33/1.78 [weight('<29,50,36,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.51.2.0',plain,
% 1.33/1.78 ( join(top,complement(X1)) = top ),
% 1.33/1.78 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_48]).
% 1.33/1.78 cnf('0.54.0.0',plain,
% 1.33/1.78 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.50.2.0','0.10.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.54.1.0',plain,
% 1.33/1.78 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.54.0.0']),
% 1.33/1.78 [weight('<53,50,10,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.54.1.1',plain,
% 1.33/1.78 ( top = join(X1,top) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.54.1.0','0.51.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.54.2.0',plain,
% 1.33/1.78 ( join(X1,top) = top ),
% 1.33/1.78 inference(orient,[status(thm)],['0.54.1.1',theory(equality)]),
% 1.33/1.78 [x,rule_51]).
% 1.33/1.78 cnf('0.55.0.0',plain,
% 1.33/1.78 ( top = join(top,X1) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.54.2.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.55.1.0',plain,
% 1.33/1.78 ( top = join(top,X1) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.55.0.0']),
% 1.33/1.78 [weight('<19,54,8,[1,0,0,0]>')]).
% 1.33/1.78 cnf('0.55.2.0',plain,
% 1.33/1.78 ( join(top,X1) = top ),
% 1.33/1.78 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_52]).
% 1.33/1.78 cnf('0.56.0.0',plain,
% 1.33/1.78 ( top = converse(top) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.55.2.0','0.47.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.56.1.0',plain,
% 1.33/1.78 ( top = converse(top) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.56.0.0']),
% 1.33/1.78 [weight('<11,55,47,[1,0,0,0]>')]).
% 1.33/1.78 cnf('0.56.2.0',plain,
% 1.33/1.78 ( converse(top) = top ),
% 1.33/1.78 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_53]).
% 1.33/1.78 cnf('0.58.0.0',plain,
% 1.33/1.78 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.7.2.0','0.56.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.58.1.0',plain,
% 1.33/1.78 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.58.0.0']),
% 1.33/1.78 [weight('<44,56,7,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.58.2.0',plain,
% 1.33/1.78 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_55]).
% 1.33/1.78 cnf('0.59.0.0',plain,
% 1.33/1.78 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.7.2.0','0.56.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.59.1.0',plain,
% 1.33/1.78 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.59.0.0']),
% 1.33/1.78 [weight('<44,56,7,[0,0,0,3]>')]).
% 1.33/1.78 cnf('0.59.2.0',plain,
% 1.33/1.78 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_56]).
% 1.33/1.78 cnf('0.60.0.0',plain,
% 1.33/1.78 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.33/1.78 inference(interreduction_right,[status(thm)],['0.47.2.0'])).
% 1.33/1.78 cnf('0.60.0.1',plain,
% 1.33/1.78 ( join(X1,converse(complement(converse(X1)))) = top ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.60.0.0','0.56.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.60.1.0',plain,
% 1.33/1.78 ( join(X1,converse(complement(converse(X1)))) = top ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.60.0.1']),
% 1.33/1.78 [weight('<55,47,56,[0,0,0,0]>')]).
% 1.33/1.78 cnf('0.60.2.0',plain,
% 1.33/1.78 ( join(X1,converse(complement(converse(X1)))) = top ),
% 1.33/1.78 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_57]).
% 1.33/1.78 cnf('0.61.0.0',axiom,
% 1.33/1.78 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.61.1.0',plain,
% 1.33/1.78 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.61.0.0']),
% 1.33/1.78 [weight('<0,0,0,[0,0,0,2]>')]).
% 1.33/1.78 cnf('0.61.1.1',plain,
% 1.33/1.78 ( X1 = join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.61.1.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.61.1.2',plain,
% 1.33/1.78 ( X1 = join(complement(join(complement(X1),X2)),meet(X1,X2)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.61.1.1','0.15.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.2','L')]).
% 1.33/1.78 cnf('0.61.1.3',plain,
% 1.33/1.78 ( X1 = join(meet(X1,X2),complement(join(complement(X1),X2))) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.61.1.2','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.61.2.0',plain,
% 1.33/1.78 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.61.1.3',theory(equality)]),
% 1.33/1.78 [x,rule_58]).
% 1.33/1.78 cnf('0.62.0.0',plain,
% 1.33/1.78 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.61.2.0','0.16.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.62.0.1',plain,
% 1.33/1.78 ( X1 = join(zero,meet(X1,X1)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.62.0.0','0.15.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.2','L')]).
% 1.33/1.78 cnf('0.62.1.0',plain,
% 1.33/1.78 ( X1 = join(zero,meet(X1,X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.62.0.1']),
% 1.33/1.78 [weight('<41,61,16,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.62.2.0',plain,
% 1.33/1.78 ( join(zero,meet(X1,X1)) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_59]).
% 1.33/1.78 cnf('0.63.0.0',plain,
% 1.33/1.78 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.41.2.0','0.62.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.63.0.1',plain,
% 1.33/1.78 ( X1 = join(zero,X1) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.63.0.0','0.62.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.63.1.0',plain,
% 1.33/1.78 ( X1 = join(zero,X1) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.63.0.1']),
% 1.33/1.78 [weight('<19,62,41,[0,0,0,2]>')]).
% 1.33/1.78 cnf('0.63.2.0',plain,
% 1.33/1.78 ( join(zero,X1) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_60]).
% 1.33/1.78 cnf('0.64.0.0',plain,
% 1.33/1.78 ( complement(zero) = top ),
% 1.33/1.78 inference(cp,[status(thm)],['0.63.2.0','0.10.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.64.1.0',plain,
% 1.33/1.78 ( complement(zero) = top ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.64.0.0']),
% 1.33/1.78 [weight('<11,63,10,[1,0,0,0]>')]).
% 1.33/1.78 cnf('0.64.2.0',plain,
% 1.33/1.78 ( complement(zero) = top ),
% 1.33/1.78 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_61]).
% 1.33/1.78 cnf('0.66.0.0',plain,
% 1.33/1.78 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 1.33/1.78 inference(interreduction_right,[status(thm)],['0.42.2.0'])).
% 1.33/1.78 cnf('0.66.0.1',plain,
% 1.33/1.78 ( join(X1,zero) = join(zero,X1) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.66.0.0','0.63.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.66.0.2',plain,
% 1.33/1.78 ( join(X1,zero) = X1 ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.66.0.1','0.63.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.66.1.0',plain,
% 1.33/1.78 ( join(X1,zero) = X1 ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.66.0.2']),
% 1.33/1.78 [weight('<19,42,63,[0,0,0,0]>')]).
% 1.33/1.78 cnf('0.66.2.0',plain,
% 1.33/1.78 ( join(X1,zero) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_63]).
% 1.33/1.78 cnf('0.67.0.0',plain,
% 1.33/1.78 ( join(zero,meet(X1,X1)) = X1 ),
% 1.33/1.78 inference(interreduction_right,[status(thm)],['0.62.2.0'])).
% 1.33/1.78 cnf('0.67.0.1',plain,
% 1.33/1.78 ( meet(X1,X1) = X1 ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.67.0.0','0.63.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.67.1.0',plain,
% 1.33/1.78 ( meet(X1,X1) = X1 ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.67.0.1']),
% 1.33/1.78 [weight('<19,62,63,[0,0,0,0]>')]).
% 1.33/1.78 cnf('0.67.2.0',plain,
% 1.33/1.78 ( meet(X1,X1) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_64]).
% 1.33/1.78 cnf('0.68.0.0',plain,
% 1.33/1.78 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.33/1.78 inference(interreduction_right,[status(thm)],['0.40.2.0'])).
% 1.33/1.78 cnf('0.68.0.1',plain,
% 1.33/1.78 ( X1 = complement(complement(X1)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.68.0.0','0.67.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.68.1.0',plain,
% 1.33/1.78 ( X1 = complement(complement(X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.68.0.1']),
% 1.33/1.78 [weight('<19,40,67,[0,0,0,0]>')]).
% 1.33/1.78 cnf('0.68.2.0',plain,
% 1.33/1.78 ( complement(complement(X1)) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_65]).
% 1.33/1.78 cnf('0.69.0.0',plain,
% 1.33/1.78 ( meet(zero,X1) = complement(join(top,complement(X1))) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.15.2.0','0.64.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1.1','L')]).
% 1.33/1.78 cnf('0.69.0.1',plain,
% 1.33/1.78 ( meet(zero,X1) = complement(top) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.69.0.0','0.55.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.1','L')]).
% 1.33/1.78 cnf('0.69.0.2',plain,
% 1.33/1.78 ( meet(zero,X1) = zero ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.69.0.1','0.18.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.69.1.0',plain,
% 1.33/1.78 ( meet(zero,X1) = zero ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.69.0.2']),
% 1.33/1.78 [weight('<19,64,15,[0,0,0,2]>')]).
% 1.33/1.78 cnf('0.69.2.0',plain,
% 1.33/1.78 ( meet(zero,X1) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_66]).
% 1.33/1.78 cnf('0.70.0.0',plain,
% 1.33/1.78 ( meet(X1,zero) = complement(join(complement(X1),top)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.15.2.0','0.64.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1.2','L')]).
% 1.33/1.78 cnf('0.70.0.1',plain,
% 1.33/1.78 ( meet(X1,zero) = complement(top) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.70.0.0','0.54.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.1','L')]).
% 1.33/1.78 cnf('0.70.0.2',plain,
% 1.33/1.78 ( meet(X1,zero) = zero ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.70.0.1','0.18.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.70.1.0',plain,
% 1.33/1.78 ( meet(X1,zero) = zero ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.70.0.2']),
% 1.33/1.78 [weight('<19,64,15,[0,0,0,4]>')]).
% 1.33/1.78 cnf('0.70.2.0',plain,
% 1.33/1.78 ( meet(X1,zero) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_67]).
% 1.33/1.78 cnf('0.71.0.0',plain,
% 1.33/1.78 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.36.2.0','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.71.0.1',plain,
% 1.33/1.78 ( X1 = join(X1,complement(complement(X1))) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.71.0.0','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.71.0.2',plain,
% 1.33/1.78 ( X1 = join(X1,X1) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.71.0.1','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.2','L')]).
% 1.33/1.78 cnf('0.71.1.0',plain,
% 1.33/1.78 ( X1 = join(X1,X1) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.71.0.2']),
% 1.33/1.78 [weight('<19,68,36,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.71.2.0',plain,
% 1.33/1.78 ( join(X1,X1) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_68]).
% 1.33/1.78 cnf('0.72.0.0',plain,
% 1.33/1.78 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 1.33/1.78 inference(interreduction_right,[status(thm)],['0.24.2.0'])).
% 1.33/1.78 cnf('0.72.0.1',plain,
% 1.33/1.78 ( complement(complement(X1)) = meet(top,X1) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.72.0.0','0.63.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.72.1.0',plain,
% 1.33/1.78 ( complement(complement(X1)) = meet(top,X1) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.72.0.1']),
% 1.33/1.78 [weight('<27,24,63,[0,0,0,0]>')]).
% 1.33/1.78 cnf('0.72.1.1',plain,
% 1.33/1.78 ( X1 = meet(top,X1) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.72.1.0','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.72.2.0',plain,
% 1.33/1.78 ( meet(top,X1) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.72.1.1',theory(equality)]),
% 1.33/1.78 [x,rule_69]).
% 1.33/1.78 cnf('0.73.0.0',plain,
% 1.33/1.78 ( X1 = meet(X1,top) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.72.2.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.73.1.0',plain,
% 1.33/1.78 ( X1 = meet(X1,top) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.73.0.0']),
% 1.33/1.78 [weight('<19,72,21,[1,0,0,0]>')]).
% 1.33/1.78 cnf('0.73.2.0',plain,
% 1.33/1.78 ( meet(X1,top) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_70]).
% 1.33/1.78 cnf('0.75.0.0',plain,
% 1.33/1.78 ( join(converse(zero),X1) = converse(converse(X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.46.2.0','0.63.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.75.0.1',plain,
% 1.33/1.78 ( join(converse(zero),X1) = X1 ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.75.0.0','0.3.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.75.1.0',plain,
% 1.33/1.78 ( join(converse(zero),X1) = X1 ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.75.0.1']),
% 1.33/1.78 [weight('<29,63,46,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.75.2.0',plain,
% 1.33/1.78 ( join(converse(zero),X1) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_72]).
% 1.33/1.78 cnf('0.76.0.0',plain,
% 1.33/1.78 ( zero = converse(zero) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.75.2.0','0.66.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.76.1.0',plain,
% 1.33/1.78 ( zero = converse(zero) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.76.0.0']),
% 1.33/1.78 [weight('<11,75,66,[1,0,0,0]>')]).
% 1.33/1.78 cnf('0.76.2.0',plain,
% 1.33/1.78 ( converse(zero) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_73]).
% 1.33/1.78 cnf('0.77.0.0',plain,
% 1.33/1.78 ( converse(composition(X1,zero)) = composition(zero,converse(X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.7.2.0','0.76.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.77.1.0',plain,
% 1.33/1.78 ( converse(composition(X1,zero)) = composition(zero,converse(X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.77.0.0']),
% 1.33/1.78 [weight('<44,76,7,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.77.2.0',plain,
% 1.33/1.78 ( converse(composition(X1,zero)) = composition(zero,converse(X1)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_74]).
% 1.33/1.78 cnf('0.78.0.0',plain,
% 1.33/1.78 ( converse(composition(zero,X1)) = composition(converse(X1),zero) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.7.2.0','0.76.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.78.1.0',plain,
% 1.33/1.78 ( converse(composition(zero,X1)) = composition(converse(X1),zero) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.78.0.0']),
% 1.33/1.78 [weight('<44,76,7,[0,0,0,3]>')]).
% 1.33/1.78 cnf('0.78.2.0',plain,
% 1.33/1.78 ( converse(composition(zero,X1)) = composition(converse(X1),zero) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_75]).
% 1.33/1.78 cnf('0.79.0.0',plain,
% 1.33/1.78 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.9.2.0','0.71.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.79.1.0',plain,
% 1.33/1.78 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.79.0.0']),
% 1.33/1.78 [weight('<53,71,9,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.79.2.0',plain,
% 1.33/1.78 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_76]).
% 1.33/1.78 cnf('0.80.0.0',plain,
% 1.33/1.78 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.79.2.0','0.61.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.80.0.1',plain,
% 1.33/1.78 ( X1 = join(meet(X1,X2),X1) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.80.0.0','0.61.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.80.1.0',plain,
% 1.33/1.78 ( X1 = join(meet(X1,X2),X1) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.80.0.1']),
% 1.33/1.78 [weight('<41,79,61,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.80.1.1',plain,
% 1.33/1.78 ( X1 = join(X1,meet(X1,X2)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.80.1.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.80.2.0',plain,
% 1.33/1.78 ( join(X1,meet(X1,X2)) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.80.1.1',theory(equality)]),
% 1.33/1.78 [x,rule_77]).
% 1.33/1.78 cnf('0.81.0.0',plain,
% 1.33/1.78 ( X1 = join(X1,meet(X2,X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.80.2.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.81.1.0',plain,
% 1.33/1.78 ( X1 = join(X1,meet(X2,X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.81.0.0']),
% 1.33/1.78 [weight('<41,80,21,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.81.2.0',plain,
% 1.33/1.78 ( join(X1,meet(X2,X1)) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_78]).
% 1.33/1.78 cnf('0.82.0.0',plain,
% 1.33/1.78 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.79.2.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.82.1.0',plain,
% 1.33/1.78 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.82.0.0']),
% 1.33/1.78 [weight('<53,79,8,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.82.2.0',plain,
% 1.33/1.78 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_79]).
% 1.33/1.78 cnf('0.83.0.0',plain,
% 1.33/1.78 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.33/1.78 inference(interreduction_right,[status(thm)],['0.50.2.0'])).
% 1.33/1.78 cnf('0.83.0.1',plain,
% 1.33/1.78 ( join(X1,join(complement(X1),X2)) = top ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.83.0.0','0.55.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.83.1.0',plain,
% 1.33/1.78 ( join(X1,join(complement(X1),X2)) = top ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.83.0.1']),
% 1.33/1.78 [weight('<55,50,55,[0,0,0,0]>')]).
% 1.33/1.78 cnf('0.83.2.0',plain,
% 1.33/1.78 ( join(X1,join(complement(X1),X2)) = top ),
% 1.33/1.78 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_80]).
% 1.33/1.78 cnf('0.84.0.0',plain,
% 1.33/1.78 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.61.2.0','0.83.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2.1','L')]).
% 1.33/1.78 cnf('0.84.0.1',plain,
% 1.33/1.78 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.84.0.0','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.1.2.1','L')]).
% 1.33/1.78 cnf('0.84.0.2',plain,
% 1.33/1.78 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.84.0.1','0.18.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.2','L')]).
% 1.33/1.78 cnf('0.84.0.3',plain,
% 1.33/1.78 ( X1 = meet(X1,join(X1,X2)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.84.0.2','0.66.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.84.1.0',plain,
% 1.33/1.78 ( X1 = meet(X1,join(X1,X2)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.84.0.3']),
% 1.33/1.78 [weight('<41,83,61,[0,0,0,5]>')]).
% 1.33/1.78 cnf('0.84.2.0',plain,
% 1.33/1.78 ( meet(X1,join(X1,X2)) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_81]).
% 1.33/1.78 cnf('0.85.0.0',plain,
% 1.33/1.78 ( X1 = meet(X1,join(X2,X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.84.2.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.85.1.0',plain,
% 1.33/1.78 ( X1 = meet(X1,join(X2,X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.85.0.0']),
% 1.33/1.78 [weight('<41,84,8,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.85.2.0',plain,
% 1.33/1.78 ( meet(X1,join(X2,X1)) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_82]).
% 1.33/1.78 cnf('0.92.0.0',plain,
% 1.33/1.78 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.82.2.0','0.83.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.92.0.1',plain,
% 1.33/1.78 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.92.0.0','0.9.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.92.0.2',plain,
% 1.33/1.78 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.92.0.1','0.9.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.92.0.3',plain,
% 1.33/1.78 ( join(complement(X1),join(X2,X1)) = join(complement(X1),top) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.92.0.2','0.54.2.0',theory(equality)]),
% 1.33/1.78 [pos('R.2','L')]).
% 1.33/1.78 cnf('0.92.0.4',plain,
% 1.33/1.78 ( join(complement(X1),join(X2,X1)) = top ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.92.0.3','0.54.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.92.1.0',plain,
% 1.33/1.78 ( join(complement(X1),join(X2,X1)) = top ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.92.0.4']),
% 1.33/1.78 [weight('<55,83,82,[0,0,0,2]>')]).
% 1.33/1.78 cnf('0.92.2.0',plain,
% 1.33/1.78 ( join(complement(X1),join(X2,X1)) = top ),
% 1.33/1.78 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_89]).
% 1.33/1.78 cnf('0.94.0.0',plain,
% 1.33/1.78 ( top = join(complement(meet(X1,X2)),X2) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.92.2.0','0.81.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.94.1.0',plain,
% 1.33/1.78 ( top = join(complement(meet(X1,X2)),X2) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.94.0.0']),
% 1.33/1.78 [weight('<55,92,81,[1,0,0,3]>')]).
% 1.33/1.78 cnf('0.94.1.1',plain,
% 1.33/1.78 ( top = join(X2,complement(meet(X1,X2))) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.94.1.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.94.2.0',plain,
% 1.33/1.78 ( join(X1,complement(meet(X2,X1))) = top ),
% 1.33/1.78 inference(orient,[status(thm)],['0.94.1.1',theory(equality)]),
% 1.33/1.78 [x,rule_91]).
% 1.33/1.78 cnf('0.96.0.0',plain,
% 1.33/1.78 ( meet(X1,meet(X2,complement(X1))) = complement(top) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.15.2.0','0.94.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.96.0.1',plain,
% 1.33/1.78 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.96.0.0','0.18.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.96.1.0',plain,
% 1.33/1.78 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.96.0.1']),
% 1.33/1.78 [weight('<55,94,15,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.96.2.0',plain,
% 1.33/1.78 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_93]).
% 1.33/1.78 cnf('0.98.0.0',plain,
% 1.33/1.78 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.96.2.0','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2.2','L')]).
% 1.33/1.78 cnf('0.98.1.0',plain,
% 1.33/1.78 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.98.0.0']),
% 1.33/1.78 [weight('<55,96,68,[1,0,0,4]>')]).
% 1.33/1.78 cnf('0.98.2.0',plain,
% 1.33/1.78 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_95]).
% 1.33/1.78 cnf('0.100.0.0',plain,
% 1.33/1.78 ( zero = meet(complement(join(X1,X2)),X2) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.98.2.0','0.85.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.100.1.0',plain,
% 1.33/1.78 ( zero = meet(complement(join(X1,X2)),X2) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.100.0.0']),
% 1.33/1.78 [weight('<55,98,85,[1,0,0,3]>')]).
% 1.33/1.78 cnf('0.100.1.1',plain,
% 1.33/1.78 ( zero = meet(X2,complement(join(X1,X2))) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.100.1.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.100.2.0',plain,
% 1.33/1.78 ( meet(X1,complement(join(X2,X1))) = zero ),
% 1.33/1.78 inference(orient,[status(thm)],['0.100.1.1',theory(equality)]),
% 1.33/1.78 [x,rule_97]).
% 1.33/1.78 cnf('0.101.0.0',plain,
% 1.33/1.78 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.15.2.0','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1.1','L')]).
% 1.33/1.78 cnf('0.101.1.0',plain,
% 1.33/1.78 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.101.0.0']),
% 1.33/1.78 [weight('<59,68,15,[0,0,0,2]>')]).
% 1.33/1.78 cnf('0.101.2.0',plain,
% 1.33/1.78 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_98]).
% 1.33/1.78 cnf('0.102.0.0',plain,
% 1.33/1.78 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.101.2.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.102.1.0',plain,
% 1.33/1.78 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.102.0.0']),
% 1.33/1.78 [weight('<59,101,8,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.102.2.0',plain,
% 1.33/1.78 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_99]).
% 1.33/1.78 cnf('0.103.0.0',plain,
% 1.33/1.78 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.68.2.0','0.101.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.103.1.0',plain,
% 1.33/1.78 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.103.0.0']),
% 1.33/1.78 [weight('<59,101,68,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.103.2.0',plain,
% 1.33/1.78 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_100]).
% 1.33/1.78 cnf('0.105.0.0',plain,
% 1.33/1.78 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.103.2.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.105.1.0',plain,
% 1.33/1.78 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.105.0.0']),
% 1.33/1.78 [weight('<59,103,21,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.105.2.0',plain,
% 1.33/1.78 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_102]).
% 1.33/1.78 cnf('0.106.0.0',plain,
% 1.33/1.78 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.103.2.0','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1.1','L')]).
% 1.33/1.78 cnf('0.106.1.0',plain,
% 1.33/1.78 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.106.0.0']),
% 1.33/1.78 [weight('<59,103,68,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.106.2.0',plain,
% 1.33/1.78 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_103]).
% 1.33/1.78 cnf('0.128.0.0',plain,
% 1.33/1.78 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.9.2.0','0.80.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.128.1.0',plain,
% 1.33/1.78 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.128.0.0']),
% 1.33/1.78 [weight('<87,80,9,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.128.2.0',plain,
% 1.33/1.78 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_125]).
% 1.33/1.78 cnf('0.129.0.0',plain,
% 1.33/1.78 ( join(X1,meet(meet(X1,X2),X3)) = join(X1,meet(X1,X2)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.128.2.0','0.80.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.129.0.1',plain,
% 1.33/1.78 ( join(X1,meet(meet(X1,X2),X3)) = X1 ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.129.0.0','0.80.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.129.1.0',plain,
% 1.33/1.78 ( join(X1,meet(meet(X1,X2),X3)) = X1 ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.129.0.1']),
% 1.33/1.78 [weight('<71,128,80,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.129.2.0',plain,
% 1.33/1.78 ( join(X1,meet(meet(X1,X2),X3)) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_126]).
% 1.33/1.78 cnf('0.133.0.0',plain,
% 1.33/1.78 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.9.2.0','0.81.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.133.1.0',plain,
% 1.33/1.78 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.133.0.0']),
% 1.33/1.78 [weight('<87,81,9,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.133.2.0',plain,
% 1.33/1.78 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_130]).
% 1.33/1.78 cnf('0.147.0.0',plain,
% 1.33/1.78 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 1.33/1.78 inference(interreduction_right,[status(thm)],['0.61.2.0'])).
% 1.33/1.78 cnf('0.147.0.1',plain,
% 1.33/1.78 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.147.0.0','0.102.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.147.1.0',plain,
% 1.33/1.78 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.147.0.1']),
% 1.33/1.78 [weight('<89,61,102,[0,0,0,0]>')]).
% 1.33/1.78 cnf('0.147.2.0',plain,
% 1.33/1.78 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.147.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_144]).
% 1.33/1.78 cnf('0.148.0.0',plain,
% 1.33/1.78 ( sk3 = join(zero,meet(complement(composition(sk1,sk2)),sk3)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.147.2.0','0.22.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.148.0.1',plain,
% 1.33/1.78 ( sk3 = meet(complement(composition(sk1,sk2)),sk3) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.148.0.0','0.63.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.148.1.0',plain,
% 1.33/1.78 ( sk3 = meet(complement(composition(sk1,sk2)),sk3) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.148.0.1']),
% 1.33/1.78 [weight('<55,147,22,[1,0,0,1]>')]).
% 1.33/1.78 cnf('0.148.1.1',plain,
% 1.33/1.78 ( sk3 = meet(sk3,complement(composition(sk1,sk2))) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.148.1.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.148.2.0',plain,
% 1.33/1.78 ( meet(sk3,complement(composition(sk1,sk2))) = sk3 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.148.1.1',theory(equality)]),
% 1.33/1.78 [x,rule_145]).
% 1.33/1.78 cnf('0.149.0.0',plain,
% 1.33/1.78 ( join(composition(sk1,sk2),complement(sk3)) = complement(sk3) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.105.2.0','0.148.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.149.1.0',plain,
% 1.33/1.78 ( join(composition(sk1,sk2),complement(sk3)) = complement(sk3) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.149.0.0']),
% 1.33/1.78 [weight('<62,148,105,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.149.1.1',plain,
% 1.33/1.78 ( join(complement(sk3),composition(sk1,sk2)) = complement(sk3) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.149.1.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.149.2.0',plain,
% 1.33/1.78 ( join(complement(sk3),composition(sk1,sk2)) = complement(sk3) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.149.1.1',theory(equality)]),
% 1.33/1.78 [u,rule_146]).
% 1.33/1.78 cnf('0.150.0.0',plain,
% 1.33/1.78 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.133.2.0','0.147.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.150.1.0',plain,
% 1.33/1.78 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.150.0.0']),
% 1.33/1.78 [weight('<69,147,133,[0,0,0,2]>')]).
% 1.33/1.78 cnf('0.150.2.0',plain,
% 1.33/1.78 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.150.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_147]).
% 1.33/1.78 cnf('0.151.0.0',plain,
% 1.33/1.78 ( composition(sk1,sk2) = meet(composition(sk1,sk2),complement(sk3)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.85.2.0','0.149.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.151.1.0',plain,
% 1.33/1.78 ( composition(sk1,sk2) = meet(composition(sk1,sk2),complement(sk3)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.151.0.0']),
% 1.33/1.78 [weight('<69,149,85,[0,0,0,2]>')]).
% 1.33/1.78 cnf('0.151.1.1',plain,
% 1.33/1.78 ( composition(sk1,sk2) = meet(complement(sk3),composition(sk1,sk2)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.151.1.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.151.2.0',plain,
% 1.33/1.78 ( meet(complement(sk3),composition(sk1,sk2)) = composition(sk1,sk2) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.151.1.1',theory(equality)]),
% 1.33/1.78 [x,rule_148]).
% 1.33/1.78 cnf('0.152.0.0',plain,
% 1.33/1.78 ( join(X1,X2) = join(X1,meet(X2,complement(X1))) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.150.2.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.152.1.0',plain,
% 1.33/1.78 ( join(X1,X2) = join(X1,meet(X2,complement(X1))) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.152.0.0']),
% 1.33/1.78 [weight('<69,150,21,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.152.2.0',plain,
% 1.33/1.78 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_149]).
% 1.33/1.78 cnf('0.156.0.0',plain,
% 1.33/1.78 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.102.2.0','0.150.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.156.0.1',plain,
% 1.33/1.78 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.156.0.0','0.103.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.156.0.2',plain,
% 1.33/1.78 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.156.0.1','0.106.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.156.0.3',plain,
% 1.33/1.78 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.156.0.2','0.102.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.156.1.0',plain,
% 1.33/1.78 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.156.0.3']),
% 1.33/1.78 [weight('<76,150,102,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.156.1.1',plain,
% 1.33/1.78 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.156.1.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.156.2.0',plain,
% 1.33/1.78 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.156.1.1',theory(equality)]),
% 1.33/1.78 [u,rule_153]).
% 1.33/1.78 cnf('0.157.0.0',plain,
% 1.33/1.78 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.156.2.0','0.105.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.157.0.1',plain,
% 1.33/1.78 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.157.0.0','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.157.1.0',plain,
% 1.33/1.78 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.157.0.1']),
% 1.33/1.78 [weight('<69,156,105,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.157.2.0',plain,
% 1.33/1.78 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_154]).
% 1.33/1.78 cnf('0.158.0.0',plain,
% 1.33/1.78 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.157.2.0','0.8.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.158.1.0',plain,
% 1.33/1.78 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.158.0.0']),
% 1.33/1.78 [weight('<69,157,8,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.158.2.0',plain,
% 1.33/1.78 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 1.33/1.78 [x,rule_155]).
% 1.33/1.78 cnf('0.159.0.0',plain,
% 1.33/1.78 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.158.2.0','0.60.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.159.0.1',plain,
% 1.33/1.78 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.159.0.0','0.73.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.159.1.0',plain,
% 1.33/1.78 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.159.0.1']),
% 1.33/1.78 [weight('<71,158,60,[1,0,0,2]>')]).
% 1.33/1.78 cnf('0.159.1.1',plain,
% 1.33/1.78 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.159.1.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('L','L')]).
% 1.33/1.78 cnf('0.159.2.0',plain,
% 1.33/1.78 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.159.1.1',theory(equality)]),
% 1.33/1.78 [u,rule_156]).
% 1.33/1.78 cnf('0.160.0.0',plain,
% 1.33/1.78 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.103.2.0','0.159.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.33/1.78 cnf('0.160.0.1',plain,
% 1.33/1.78 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.160.0.0','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2.1.1.1.1','L')]).
% 1.33/1.78 cnf('0.160.0.2',plain,
% 1.33/1.78 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.160.0.1','0.68.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.160.1.0',plain,
% 1.33/1.78 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.160.0.2']),
% 1.33/1.78 [weight('<71,159,103,[0,0,0,1]>')]).
% 1.33/1.78 cnf('0.160.2.0',plain,
% 1.33/1.78 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.33/1.78 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 1.33/1.78 [u,rule_157]).
% 1.33/1.78 cnf('0.163.0.0',axiom,
% 1.33/1.78 ( join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3) ),
% 1.33/1.78 file('/tmp/WALDMEISTER_5087_n006')).
% 1.33/1.78 cnf('0.163.1.0',plain,
% 1.33/1.78 ( join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3) ),
% 1.33/1.78 inference(weigh,[status(thm)],['0.163.0.0']),
% 1.33/1.78 [weight('<0,0,0,[0,0,0,13]>')]).
% 1.33/1.78 cnf('0.163.1.1',plain,
% 1.33/1.78 ( join(meet(composition(X1,X2),X3),meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2))) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.163.1.0','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.2','L')]).
% 1.33/1.78 cnf('0.163.1.2',plain,
% 1.33/1.78 ( join(meet(composition(X1,X2),X3),meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2))) = meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2)) ),
% 1.33/1.78 inference(reduction,[status(thm)],['0.163.1.1','0.21.2.0',theory(equality)]),
% 1.33/1.78 [pos('R','L')]).
% 1.33/1.78 cnf('0.163.2.0',plain,
% 1.33/1.78 ( join(meet(composition(X1,X2),X3),meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2))) = meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2)) ),
% 1.33/1.78 inference(orient,[status(thm)],['0.163.1.2',theory(equality)]),
% 1.33/1.78 [u,rule_160]).
% 1.33/1.78 cnf('0.172.0.0',plain,
% 1.33/1.78 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 1.33/1.78 inference(cp,[status(thm)],['0.45.2.0','0.160.2.0',theory(equality)]),
% 1.33/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.172.0.1',plain,
% 1.40/1.78 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.172.0.0','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1.1.1.1','L')]).
% 1.40/1.78 cnf('0.172.0.2',plain,
% 1.40/1.78 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.172.0.1','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.172.1.0',plain,
% 1.40/1.78 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.172.0.2']),
% 1.40/1.78 [weight('<71,160,45,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.172.2.0',plain,
% 1.40/1.78 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.40/1.78 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_169]).
% 1.40/1.78 cnf('0.175.0.0',plain,
% 1.40/1.78 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.102.2.0','0.172.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.175.0.1',plain,
% 1.40/1.78 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.175.0.0','0.68.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.1.1.1.1','L')]).
% 1.40/1.78 cnf('0.175.0.2',plain,
% 1.40/1.78 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.175.0.1','0.68.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.175.1.0',plain,
% 1.40/1.78 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.175.0.2']),
% 1.40/1.78 [weight('<71,172,102,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.175.1.1',plain,
% 1.40/1.78 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.175.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.175.2.0',plain,
% 1.40/1.78 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.40/1.78 inference(orient,[status(thm)],['0.175.1.1',theory(equality)]),
% 1.40/1.78 [u,rule_172]).
% 1.40/1.78 cnf('0.180.0.0',plain,
% 1.40/1.78 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.157.2.0','0.68.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2','L')]).
% 1.40/1.78 cnf('0.180.1.0',plain,
% 1.40/1.78 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.180.0.0']),
% 1.40/1.78 [weight('<76,157,68,[1,0,0,4]>')]).
% 1.40/1.78 cnf('0.180.2.0',plain,
% 1.40/1.78 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_177]).
% 1.40/1.78 cnf('0.181.0.0',plain,
% 1.40/1.78 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.180.2.0','0.60.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.181.0.1',plain,
% 1.40/1.78 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.181.0.0','0.175.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.181.0.2',plain,
% 1.40/1.78 ( X1 = complement(converse(complement(converse(X1)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.181.0.1','0.73.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.181.1.0',plain,
% 1.40/1.78 ( X1 = complement(converse(complement(converse(X1)))) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.181.0.2']),
% 1.40/1.78 [weight('<41,180,60,[1,0,0,3]>')]).
% 1.40/1.78 cnf('0.181.2.0',plain,
% 1.40/1.78 ( complement(converse(complement(converse(X1)))) = X1 ),
% 1.40/1.78 inference(orient,[status(thm)],['0.181.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_178]).
% 1.40/1.78 cnf('0.182.0.0',plain,
% 1.40/1.78 ( converse(X1) = complement(converse(complement(X1))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.181.2.0','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.1.1','L')]).
% 1.40/1.78 cnf('0.182.1.0',plain,
% 1.40/1.78 ( converse(X1) = complement(converse(complement(X1))) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.182.0.0']),
% 1.40/1.78 [weight('<34,181,3,[1,0,0,3]>')]).
% 1.40/1.78 cnf('0.182.2.0',plain,
% 1.40/1.78 ( complement(converse(complement(X1))) = converse(X1) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.182.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_179]).
% 1.40/1.78 cnf('0.183.0.0',plain,
% 1.40/1.78 ( converse(complement(X1)) = complement(converse(X1)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.68.2.0','0.182.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.183.1.0',plain,
% 1.40/1.78 ( converse(complement(X1)) = complement(converse(X1)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.183.0.0']),
% 1.40/1.78 [weight('<27,182,68,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.183.2.0',plain,
% 1.40/1.78 ( converse(complement(X1)) = complement(converse(X1)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.183.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_180]).
% 1.40/1.78 cnf('0.195.0.0',plain,
% 1.40/1.78 ( join(complement(X1),converse(X2)) = converse(join(complement(converse(X1)),X2)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.45.2.0','0.183.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.1','L')]).
% 1.40/1.78 cnf('0.195.1.0',plain,
% 1.40/1.78 ( join(complement(X1),converse(X2)) = converse(join(complement(converse(X1)),X2)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.195.0.0']),
% 1.40/1.78 [weight('<83,183,45,[0,0,0,2]>')]).
% 1.40/1.78 cnf('0.195.2.0',plain,
% 1.40/1.78 ( converse(join(complement(converse(X1)),X2)) = join(complement(X1),converse(X2)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_192]).
% 1.40/1.78 cnf('0.197.0.0',plain,
% 1.40/1.78 ( complement(converse(join(X1,complement(X2)))) = converse(meet(complement(X1),X2)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.183.2.0','0.101.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.197.1.0',plain,
% 1.40/1.78 ( complement(converse(join(X1,complement(X2)))) = converse(meet(complement(X1),X2)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.197.0.0']),
% 1.40/1.78 [weight('<83,183,101,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.197.2.0',plain,
% 1.40/1.78 ( complement(converse(join(X1,complement(X2)))) = converse(meet(complement(X1),X2)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_194]).
% 1.40/1.78 cnf('0.198.0.0',plain,
% 1.40/1.78 ( converse(meet(complement(complement(converse(X1))),X2)) = complement(join(complement(X1),converse(complement(X2)))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.197.2.0','0.195.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.198.0.1',plain,
% 1.40/1.78 ( converse(meet(converse(X1),X2)) = complement(join(complement(X1),converse(complement(X2)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.198.0.0','0.68.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.1','L')]).
% 1.40/1.78 cnf('0.198.0.2',plain,
% 1.40/1.78 ( converse(meet(converse(X1),X2)) = meet(complement(converse(complement(X2))),X1) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.198.0.1','0.102.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.198.0.3',plain,
% 1.40/1.78 ( converse(meet(converse(X1),X2)) = meet(complement(complement(converse(X2))),X1) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.198.0.2','0.183.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1.1','L')]).
% 1.40/1.78 cnf('0.198.0.4',plain,
% 1.40/1.78 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.198.0.3','0.68.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1','L')]).
% 1.40/1.78 cnf('0.198.1.0',plain,
% 1.40/1.78 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.198.0.4']),
% 1.40/1.78 [weight('<59,197,195,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.198.2.0',plain,
% 1.40/1.78 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.198.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_195]).
% 1.40/1.78 cnf('0.199.0.0',plain,
% 1.40/1.78 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.198.2.0','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.1','L')]).
% 1.40/1.78 cnf('0.199.1.0',plain,
% 1.40/1.78 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.199.0.0']),
% 1.40/1.78 [weight('<59,198,3,[1,0,0,2]>')]).
% 1.40/1.78 cnf('0.199.2.0',plain,
% 1.40/1.78 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_196]).
% 1.40/1.78 cnf('0.214.0.0',plain,
% 1.40/1.78 ( composition(join(composition(X1,X2),X3),X4) = join(composition(X1,composition(X2,X4)),composition(X3,X4)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.214.1.0',plain,
% 1.40/1.78 ( composition(join(composition(X1,X2),X3),X4) = join(composition(X1,composition(X2,X4)),composition(X3,X4)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.214.0.0']),
% 1.40/1.78 [weight('<?,5,4,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.214.2.0',plain,
% 1.40/1.78 ( join(composition(X1,composition(X2,X3)),composition(X4,X3)) = composition(join(composition(X1,X2),X4),X3) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.214.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_211]).
% 1.40/1.78 cnf('0.223.0.0',plain,
% 1.40/1.78 ( join(one,converse(meet(meet(one,X1),X2))) = converse(one) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.34.2.0','0.129.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.223.0.1',plain,
% 1.40/1.78 ( join(one,converse(meet(meet(one,X1),X2))) = one ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.223.0.0','0.32.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.223.1.0',plain,
% 1.40/1.78 ( join(one,converse(meet(meet(one,X1),X2))) = one ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.223.0.1']),
% 1.40/1.78 [weight('<89,129,34,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.223.2.0',plain,
% 1.40/1.78 ( join(one,converse(meet(meet(one,X1),X2))) = one ),
% 1.40/1.78 inference(orient,[status(thm)],['0.223.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_220]).
% 1.40/1.78 cnf('0.265.0.0',plain,
% 1.40/1.78 ( composition(join(X1,composition(X2,X3)),X4) = join(composition(X1,X4),composition(X2,composition(X3,X4))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.265.1.0',plain,
% 1.40/1.78 ( composition(join(X1,composition(X2,X3)),X4) = join(composition(X1,X4),composition(X2,composition(X3,X4))) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.265.0.0']),
% 1.40/1.78 [weight('<?,5,4,[1,0,0,4]>')]).
% 1.40/1.78 cnf('0.265.2.0',plain,
% 1.40/1.78 ( join(composition(X1,X2),composition(X3,composition(X4,X2))) = composition(join(X1,composition(X3,X4)),X2) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.265.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_262]).
% 1.40/1.78 cnf('0.296.0.0',plain,
% 1.40/1.78 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.11.2.0','0.1.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2.1','L')]).
% 1.40/1.78 cnf('0.296.1.0',plain,
% 1.40/1.78 ( complement(one) = join(complement(one),composition(converse(X1),complement(X1))) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.296.0.0']),
% 1.40/1.78 [weight('<98,11,1,[1,0,0,7]>')]).
% 1.40/1.78 cnf('0.296.2.0',plain,
% 1.40/1.78 ( join(complement(one),composition(converse(X1),complement(X1))) = complement(one) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.296.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_293]).
% 1.40/1.78 cnf('0.297.0.0',plain,
% 1.40/1.78 ( complement(one) = join(complement(one),composition(converse(top),zero)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.296.2.0','0.18.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2','L')]).
% 1.40/1.78 cnf('0.297.0.1',plain,
% 1.40/1.78 ( complement(one) = join(complement(one),composition(top,zero)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.297.0.0','0.56.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2.1','L')]).
% 1.40/1.78 cnf('0.297.1.0',plain,
% 1.40/1.78 ( complement(one) = join(complement(one),composition(top,zero)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.297.0.1']),
% 1.40/1.78 [weight('<62,296,18,[1,0,0,6]>')]).
% 1.40/1.78 cnf('0.297.2.0',plain,
% 1.40/1.78 ( join(complement(one),composition(top,zero)) = complement(one) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.297.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_294]).
% 1.40/1.78 cnf('0.298.0.0',plain,
% 1.40/1.78 ( zero = meet(composition(top,zero),complement(complement(one))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.100.2.0','0.297.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1','L')]).
% 1.40/1.78 cnf('0.298.0.1',plain,
% 1.40/1.78 ( zero = meet(composition(top,zero),one) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.298.0.0','0.68.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2','L')]).
% 1.40/1.78 cnf('0.298.1.0',plain,
% 1.40/1.78 ( zero = meet(composition(top,zero),one) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.298.0.1']),
% 1.40/1.78 [weight('<41,297,100,[0,0,0,3]>')]).
% 1.40/1.78 cnf('0.298.1.1',plain,
% 1.40/1.78 ( zero = meet(one,composition(top,zero)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.298.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.298.2.0',plain,
% 1.40/1.78 ( meet(one,composition(top,zero)) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.298.1.1',theory(equality)]),
% 1.40/1.78 [x,rule_295]).
% 1.40/1.78 cnf('0.303.0.0',plain,
% 1.40/1.78 ( composition(top,zero) = meet(composition(top,zero),complement(one)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.85.2.0','0.297.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.303.1.0',plain,
% 1.40/1.78 ( composition(top,zero) = meet(composition(top,zero),complement(one)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.303.0.0']),
% 1.40/1.78 [weight('<69,297,85,[0,0,0,2]>')]).
% 1.40/1.78 cnf('0.303.1.1',plain,
% 1.40/1.78 ( composition(top,zero) = meet(complement(one),composition(top,zero)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.303.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.303.2.0',plain,
% 1.40/1.78 ( meet(complement(one),composition(top,zero)) = composition(top,zero) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.303.1.1',theory(equality)]),
% 1.40/1.78 [x,rule_300]).
% 1.40/1.78 cnf('0.368.0.0',plain,
% 1.40/1.78 ( meet(join(meet(complement(X1),X2),X3),X1) = meet(X1,join(complement(X1),X3)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.158.2.0','0.128.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.368.0.1',plain,
% 1.40/1.78 ( meet(join(meet(complement(X1),X2),X3),X1) = meet(X3,X1) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.368.0.0','0.158.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.368.1.0',plain,
% 1.40/1.78 ( meet(join(meet(complement(X1),X2),X3),X1) = meet(X3,X1) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.368.0.1']),
% 1.40/1.78 [weight('<107,158,128,[1,0,0,2]>')]).
% 1.40/1.78 cnf('0.368.1.1',plain,
% 1.40/1.78 ( meet(X1,join(meet(complement(X1),X2),X3)) = meet(X3,X1) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.368.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.368.2.0',plain,
% 1.40/1.78 ( meet(X1,join(meet(complement(X1),X2),X3)) = meet(X3,X1) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.368.1.1',theory(equality)]),
% 1.40/1.78 [u,rule_363]).
% 1.40/1.78 cnf('0.369.0.0',plain,
% 1.40/1.78 ( meet(X1,sk3) = meet(sk3,join(composition(sk1,sk2),X1)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.368.2.0','0.151.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1','L')]).
% 1.40/1.78 cnf('0.369.1.0',plain,
% 1.40/1.78 ( meet(X1,sk3) = meet(sk3,join(composition(sk1,sk2),X1)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.369.0.0']),
% 1.40/1.78 [weight('<87,368,151,[1,0,0,3]>')]).
% 1.40/1.78 cnf('0.369.2.0',plain,
% 1.40/1.78 ( meet(sk3,join(composition(sk1,sk2),X1)) = meet(X1,sk3) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.369.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_364]).
% 1.40/1.78 cnf('0.370.0.0',plain,
% 1.40/1.78 ( meet(X1,one) = meet(one,join(composition(top,zero),X1)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.368.2.0','0.303.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1','L')]).
% 1.40/1.78 cnf('0.370.1.0',plain,
% 1.40/1.78 ( meet(X1,one) = meet(one,join(composition(top,zero),X1)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.370.0.0']),
% 1.40/1.78 [weight('<87,368,303,[1,0,0,3]>')]).
% 1.40/1.78 cnf('0.370.2.0',plain,
% 1.40/1.78 ( meet(one,join(composition(top,zero),X1)) = meet(X1,one) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.370.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_365]).
% 1.40/1.78 cnf('0.371.0.0',plain,
% 1.40/1.78 ( meet(composition(X1,zero),one) = meet(one,composition(join(top,X1),zero)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.370.2.0','0.5.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.371.0.1',plain,
% 1.40/1.78 ( meet(composition(X1,zero),one) = meet(one,composition(top,zero)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.371.0.0','0.55.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2.1','L')]).
% 1.40/1.78 cnf('0.371.0.2',plain,
% 1.40/1.78 ( meet(composition(X1,zero),one) = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.371.0.1','0.298.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.371.1.0',plain,
% 1.40/1.78 ( meet(composition(X1,zero),one) = zero ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.371.0.2']),
% 1.40/1.78 [weight('<41,370,5,[1,0,0,2]>')]).
% 1.40/1.78 cnf('0.371.1.1',plain,
% 1.40/1.78 ( meet(one,composition(X1,zero)) = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.371.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.371.2.0',plain,
% 1.40/1.78 ( meet(one,composition(X1,zero)) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.371.1.1',theory(equality)]),
% 1.40/1.78 [u,rule_366]).
% 1.40/1.78 cnf('0.372.0.0',plain,
% 1.40/1.78 ( one = join(zero,meet(complement(composition(X1,zero)),one)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.147.2.0','0.371.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.372.0.1',plain,
% 1.40/1.78 ( one = meet(complement(composition(X1,zero)),one) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.372.0.0','0.63.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.372.1.0',plain,
% 1.40/1.78 ( one = meet(complement(composition(X1,zero)),one) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.372.0.1']),
% 1.40/1.78 [weight('<55,371,147,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.372.1.1',plain,
% 1.40/1.78 ( one = meet(one,complement(composition(X1,zero))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.372.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.372.2.0',plain,
% 1.40/1.78 ( meet(one,complement(composition(X1,zero))) = one ),
% 1.40/1.78 inference(orient,[status(thm)],['0.372.1.1',theory(equality)]),
% 1.40/1.78 [x,rule_367]).
% 1.40/1.78 cnf('0.418.0.0',plain,
% 1.40/1.78 ( composition(meet(X1,composition(X2,converse(converse(X3)))),meet(converse(X3),composition(converse(X1),X2))) = join(meet(composition(X1,converse(X3)),X2),composition(meet(X1,composition(X2,X3)),meet(converse(X3),composition(converse(X1),X2)))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1.2.2','L')]).
% 1.40/1.78 cnf('0.418.0.1',plain,
% 1.40/1.78 ( composition(meet(X1,composition(X2,X3)),meet(converse(X3),composition(converse(X1),X2))) = join(meet(composition(X1,converse(X3)),X2),composition(meet(X1,composition(X2,X3)),meet(converse(X3),composition(converse(X1),X2)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.418.0.0','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.2.2','L')]).
% 1.40/1.78 cnf('0.418.1.0',plain,
% 1.40/1.78 ( composition(meet(X1,composition(X2,X3)),meet(converse(X3),composition(converse(X1),X2))) = join(meet(composition(X1,converse(X3)),X2),composition(meet(X1,composition(X2,X3)),meet(converse(X3),composition(converse(X1),X2)))) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.418.0.1']),
% 1.40/1.78 [weight('<?,6,3,[1,0,0,11]>')]).
% 1.40/1.78 cnf('0.418.2.0',plain,
% 1.40/1.78 ( join(meet(composition(X1,converse(X2)),X3),composition(meet(X1,composition(X3,X2)),meet(converse(X2),composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,X2)),meet(converse(X2),composition(converse(X1),X3))) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.418.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_413]).
% 1.40/1.78 cnf('0.448.0.0',plain,
% 1.40/1.78 ( meet(join(meet(X1,complement(X2)),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.158.2.0','0.133.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.448.0.1',plain,
% 1.40/1.78 ( meet(join(meet(X1,complement(X2)),X3),X2) = meet(X3,X2) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.448.0.0','0.158.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.448.1.0',plain,
% 1.40/1.78 ( meet(join(meet(X1,complement(X2)),X3),X2) = meet(X3,X2) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.448.0.1']),
% 1.40/1.78 [weight('<107,158,133,[1,0,0,2]>')]).
% 1.40/1.78 cnf('0.448.1.1',plain,
% 1.40/1.78 ( meet(X2,join(meet(X1,complement(X2)),X3)) = meet(X3,X2) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.448.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.448.2.0',plain,
% 1.40/1.78 ( meet(X1,join(meet(X2,complement(X1)),X3)) = meet(X3,X1) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.448.1.1',theory(equality)]),
% 1.40/1.78 [u,rule_443]).
% 1.40/1.78 cnf('0.450.0.0',plain,
% 1.40/1.78 ( meet(X1,composition(X2,zero)) = meet(composition(X2,zero),join(one,X1)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.448.2.0','0.372.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1','L')]).
% 1.40/1.78 cnf('0.450.1.0',plain,
% 1.40/1.78 ( meet(X1,composition(X2,zero)) = meet(composition(X2,zero),join(one,X1)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.450.0.0']),
% 1.40/1.78 [weight('<103,448,372,[1,0,0,3]>')]).
% 1.40/1.78 cnf('0.450.2.0',plain,
% 1.40/1.78 ( meet(composition(X1,zero),join(one,X2)) = meet(X2,composition(X1,zero)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.450.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_445]).
% 1.40/1.78 cnf('0.457.0.0',plain,
% 1.40/1.78 ( meet(X1,composition(X2,zero)) = meet(join(one,X1),composition(X2,zero)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.450.2.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.457.1.0',plain,
% 1.40/1.78 ( meet(X1,composition(X2,zero)) = meet(join(one,X1),composition(X2,zero)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.457.0.0']),
% 1.40/1.78 [weight('<103,450,21,[1,0,0,0]>')]).
% 1.40/1.78 cnf('0.457.2.0',plain,
% 1.40/1.78 ( meet(join(one,X1),composition(X2,zero)) = meet(X1,composition(X2,zero)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.457.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_452]).
% 1.40/1.78 cnf('0.467.0.0',plain,
% 1.40/1.78 ( meet(top,composition(meet(X1,composition(top,converse(X2))),X2)) = join(meet(composition(X1,X2),top),composition(meet(X1,composition(top,converse(X2))),X2)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.163.2.0','0.72.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.467.0.1',plain,
% 1.40/1.78 ( composition(meet(X1,composition(top,converse(X2))),X2) = join(meet(composition(X1,X2),top),composition(meet(X1,composition(top,converse(X2))),X2)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.467.0.0','0.72.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.467.0.2',plain,
% 1.40/1.78 ( composition(meet(X1,composition(top,converse(X2))),X2) = join(composition(X1,X2),composition(meet(X1,composition(top,converse(X2))),X2)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.467.0.1','0.73.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1','L')]).
% 1.40/1.78 cnf('0.467.0.3',plain,
% 1.40/1.78 ( composition(meet(X1,composition(top,converse(X2))),X2) = composition(join(X1,meet(X1,composition(top,converse(X2)))),X2) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.467.0.2','0.5.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.467.0.4',plain,
% 1.40/1.78 ( composition(meet(X1,composition(top,converse(X2))),X2) = composition(X1,X2) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.467.0.3','0.80.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1','L')]).
% 1.40/1.78 cnf('0.467.1.0',plain,
% 1.40/1.78 ( composition(meet(X1,composition(top,converse(X2))),X2) = composition(X1,X2) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.467.0.4']),
% 1.40/1.78 [weight('<107,163,72,[1,0,0,6]>')]).
% 1.40/1.78 cnf('0.467.2.0',plain,
% 1.40/1.78 ( composition(meet(X1,composition(top,converse(X2))),X2) = composition(X1,X2) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.467.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_462]).
% 1.40/1.78 cnf('0.469.0.0',plain,
% 1.40/1.78 ( composition(meet(converse(X1),composition(X2,converse(X3))),meet(X3,composition(converse(converse(X1)),X2))) = join(meet(composition(converse(X1),X3),X2),composition(meet(converse(X1),composition(X2,converse(X3))),meet(X3,composition(X1,X2)))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2.2.1','L')]).
% 1.40/1.78 cnf('0.469.0.1',plain,
% 1.40/1.78 ( composition(meet(converse(X1),composition(X2,converse(X3))),meet(X3,composition(X1,X2))) = join(meet(composition(converse(X1),X3),X2),composition(meet(converse(X1),composition(X2,converse(X3))),meet(X3,composition(X1,X2)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.469.0.0','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2.1','L')]).
% 1.40/1.78 cnf('0.469.1.0',plain,
% 1.40/1.78 ( composition(meet(converse(X1),composition(X2,converse(X3))),meet(X3,composition(X1,X2))) = join(meet(composition(converse(X1),X3),X2),composition(meet(converse(X1),composition(X2,converse(X3))),meet(X3,composition(X1,X2)))) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.469.0.1']),
% 1.40/1.78 [weight('<?,6,3,[1,0,0,16]>')]).
% 1.40/1.78 cnf('0.469.2.0',plain,
% 1.40/1.78 ( join(meet(composition(converse(X1),X2),X3),composition(meet(converse(X1),composition(X3,converse(X2))),meet(X2,composition(X1,X3)))) = composition(meet(converse(X1),composition(X3,converse(X2))),meet(X2,composition(X1,X3))) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.469.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_464]).
% 1.40/1.78 cnf('0.476.0.0',plain,
% 1.40/1.78 ( composition(X1,top) = composition(meet(X1,composition(top,top)),top) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.467.2.0','0.56.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.2.2','L')]).
% 1.40/1.78 cnf('0.476.1.0',plain,
% 1.40/1.78 ( composition(X1,top) = composition(meet(X1,composition(top,top)),top) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.476.0.0']),
% 1.40/1.78 [weight('<87,467,56,[1,0,0,5]>')]).
% 1.40/1.78 cnf('0.476.2.0',plain,
% 1.40/1.78 ( composition(meet(X1,composition(top,top)),top) = composition(X1,top) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.476.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_471]).
% 1.40/1.78 cnf('0.477.0.0',plain,
% 1.40/1.78 ( composition(X1,zero) = composition(meet(X1,composition(top,zero)),zero) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.467.2.0','0.76.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.2.2','L')]).
% 1.40/1.78 cnf('0.477.1.0',plain,
% 1.40/1.78 ( composition(X1,zero) = composition(meet(X1,composition(top,zero)),zero) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.477.0.0']),
% 1.40/1.78 [weight('<87,467,76,[1,0,0,5]>')]).
% 1.40/1.78 cnf('0.477.2.0',plain,
% 1.40/1.78 ( composition(meet(X1,composition(top,zero)),zero) = composition(X1,zero) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.477.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_472]).
% 1.40/1.78 cnf('0.478.0.0',plain,
% 1.40/1.78 ( composition(one,zero) = composition(zero,zero) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.477.2.0','0.371.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.478.0.1',plain,
% 1.40/1.78 ( zero = composition(zero,zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.478.0.0','0.33.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.478.1.0',plain,
% 1.40/1.78 ( zero = composition(zero,zero) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.478.0.1']),
% 1.40/1.78 [weight('<19,477,371,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.478.2.0',plain,
% 1.40/1.78 ( composition(zero,zero) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.478.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_473]).
% 1.40/1.78 cnf('0.483.0.0',plain,
% 1.40/1.78 ( composition(join(one,X1),zero) = composition(meet(X1,composition(top,zero)),zero) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.477.2.0','0.457.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.483.0.1',plain,
% 1.40/1.78 ( composition(join(one,X1),zero) = composition(X1,zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.483.0.0','0.477.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.483.1.0',plain,
% 1.40/1.78 ( composition(join(one,X1),zero) = composition(X1,zero) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.483.0.1']),
% 1.40/1.78 [weight('<53,477,457,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.483.2.0',plain,
% 1.40/1.78 ( composition(join(one,X1),zero) = composition(X1,zero) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.483.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_478]).
% 1.40/1.78 cnf('0.521.0.0',plain,
% 1.40/1.78 ( composition(X1,top) = composition(meet(composition(top,top),X1),top) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.476.2.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.521.1.0',plain,
% 1.40/1.78 ( composition(X1,top) = composition(meet(composition(top,top),X1),top) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.521.0.0']),
% 1.40/1.78 [weight('<87,476,21,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.521.2.0',plain,
% 1.40/1.78 ( composition(meet(composition(top,top),X1),top) = composition(X1,top) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.521.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_516]).
% 1.40/1.78 cnf('0.522.0.0',plain,
% 1.40/1.78 ( composition(complement(composition(top,top)),top) = composition(zero,top) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.521.2.0','0.16.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.522.1.0',plain,
% 1.40/1.78 ( composition(complement(composition(top,top)),top) = composition(zero,top) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.522.0.0']),
% 1.40/1.78 [weight('<69,521,16,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.522.2.0',plain,
% 1.40/1.78 ( composition(complement(composition(top,top)),top) = composition(zero,top) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.522.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_517]).
% 1.40/1.78 cnf('0.523.0.0',plain,
% 1.40/1.78 ( composition(top,converse(complement(composition(top,top)))) = converse(composition(zero,top)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.58.2.0','0.522.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.523.0.1',plain,
% 1.40/1.78 ( composition(top,complement(converse(composition(top,top)))) = converse(composition(zero,top)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.523.0.0','0.183.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.523.0.2',plain,
% 1.40/1.78 ( composition(top,complement(composition(converse(top),top))) = converse(composition(zero,top)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.523.0.1','0.59.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1','L')]).
% 1.40/1.78 cnf('0.523.0.3',plain,
% 1.40/1.78 ( composition(top,complement(composition(top,top))) = converse(composition(zero,top)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.523.0.2','0.56.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1.1','L')]).
% 1.40/1.78 cnf('0.523.0.4',plain,
% 1.40/1.78 ( composition(top,complement(composition(top,top))) = composition(converse(top),zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.523.0.3','0.78.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.523.0.5',plain,
% 1.40/1.78 ( composition(top,complement(composition(top,top))) = composition(top,zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.523.0.4','0.56.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1','L')]).
% 1.40/1.78 cnf('0.523.1.0',plain,
% 1.40/1.78 ( composition(top,complement(composition(top,top))) = composition(top,zero) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.523.0.5']),
% 1.40/1.78 [weight('<69,522,58,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.523.2.0',plain,
% 1.40/1.78 ( composition(top,complement(composition(top,top))) = composition(top,zero) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.523.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_518]).
% 1.40/1.78 cnf('0.524.0.0',plain,
% 1.40/1.78 ( composition(X1,zero) = composition(meet(composition(top,zero),X1),zero) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.477.2.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.524.1.0',plain,
% 1.40/1.78 ( composition(X1,zero) = composition(meet(composition(top,zero),X1),zero) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.524.0.0']),
% 1.40/1.78 [weight('<87,477,21,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.524.2.0',plain,
% 1.40/1.78 ( composition(meet(composition(top,zero),X1),zero) = composition(X1,zero) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.524.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_519]).
% 1.40/1.78 cnf('0.525.0.0',plain,
% 1.40/1.78 ( composition(complement(composition(top,zero)),zero) = composition(zero,zero) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.524.2.0','0.16.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.525.0.1',plain,
% 1.40/1.78 ( composition(complement(composition(top,zero)),zero) = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.525.0.0','0.478.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.525.1.0',plain,
% 1.40/1.78 ( composition(complement(composition(top,zero)),zero) = zero ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.525.0.1']),
% 1.40/1.78 [weight('<55,524,16,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.525.2.0',plain,
% 1.40/1.78 ( composition(complement(composition(top,zero)),zero) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.525.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_520]).
% 1.40/1.78 cnf('0.526.0.0',plain,
% 1.40/1.78 ( composition(zero,converse(complement(composition(top,zero)))) = converse(zero) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.77.2.0','0.525.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.526.0.1',plain,
% 1.40/1.78 ( composition(zero,complement(converse(composition(top,zero)))) = converse(zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.526.0.0','0.183.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.526.0.2',plain,
% 1.40/1.78 ( composition(zero,complement(composition(converse(zero),top))) = converse(zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.526.0.1','0.59.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1','L')]).
% 1.40/1.78 cnf('0.526.0.3',plain,
% 1.40/1.78 ( composition(zero,complement(composition(zero,top))) = converse(zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.526.0.2','0.76.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1.1','L')]).
% 1.40/1.78 cnf('0.526.0.4',plain,
% 1.40/1.78 ( composition(zero,complement(composition(zero,top))) = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.526.0.3','0.76.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.526.1.0',plain,
% 1.40/1.78 ( composition(zero,complement(composition(zero,top))) = zero ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.526.0.4']),
% 1.40/1.78 [weight('<55,525,77,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.526.2.0',plain,
% 1.40/1.78 ( composition(zero,complement(composition(zero,top))) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.526.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_521]).
% 1.40/1.78 cnf('0.541.0.0',plain,
% 1.40/1.78 ( composition(converse(meet(meet(one,X1),X2)),zero) = composition(one,zero) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.483.2.0','0.223.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.541.0.1',plain,
% 1.40/1.78 ( composition(converse(meet(meet(one,X1),X2)),zero) = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.541.0.0','0.33.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.541.1.0',plain,
% 1.40/1.78 ( composition(converse(meet(meet(one,X1),X2)),zero) = zero ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.541.0.1']),
% 1.40/1.78 [weight('<89,483,223,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.541.2.0',plain,
% 1.40/1.78 ( composition(converse(meet(meet(one,X1),X2)),zero) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.541.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_536]).
% 1.40/1.78 cnf('0.556.0.0',plain,
% 1.40/1.78 ( composition(meet(converse(zero),composition(complement(composition(zero,top)),converse(X1))),meet(X1,composition(zero,complement(composition(zero,top))))) = join(meet(composition(converse(zero),X1),complement(composition(zero,top))),composition(meet(converse(zero),composition(complement(composition(zero,top)),converse(X1))),meet(X1,zero))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.469.2.0','0.526.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2.2','L')]).
% 1.40/1.78 cnf('0.556.0.1',plain,
% 1.40/1.78 ( composition(meet(zero,composition(complement(composition(zero,top)),converse(X1))),meet(X1,composition(zero,complement(composition(zero,top))))) = join(meet(composition(converse(zero),X1),complement(composition(zero,top))),composition(meet(converse(zero),composition(complement(composition(zero,top)),converse(X1))),meet(X1,zero))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.0','0.76.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.1','L')]).
% 1.40/1.78 cnf('0.556.0.2',plain,
% 1.40/1.78 ( composition(zero,meet(X1,composition(zero,complement(composition(zero,top))))) = join(meet(composition(converse(zero),X1),complement(composition(zero,top))),composition(meet(converse(zero),composition(complement(composition(zero,top)),converse(X1))),meet(X1,zero))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.1','0.69.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.556.0.3',plain,
% 1.40/1.78 ( composition(zero,meet(X1,zero)) = join(meet(composition(converse(zero),X1),complement(composition(zero,top))),composition(meet(converse(zero),composition(complement(composition(zero,top)),converse(X1))),meet(X1,zero))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.2','0.526.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2','L')]).
% 1.40/1.78 cnf('0.556.0.4',plain,
% 1.40/1.78 ( composition(zero,zero) = join(meet(composition(converse(zero),X1),complement(composition(zero,top))),composition(meet(converse(zero),composition(complement(composition(zero,top)),converse(X1))),meet(X1,zero))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.3','0.70.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.556.0.5',plain,
% 1.40/1.78 ( zero = join(meet(composition(converse(zero),X1),complement(composition(zero,top))),composition(meet(converse(zero),composition(complement(composition(zero,top)),converse(X1))),meet(X1,zero))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.4','0.478.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.556.0.6',plain,
% 1.40/1.78 ( zero = join(meet(composition(zero,X1),complement(composition(zero,top))),composition(meet(converse(zero),composition(complement(composition(zero,top)),converse(X1))),meet(X1,zero))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.5','0.76.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1.1.1','L')]).
% 1.40/1.78 cnf('0.556.0.7',plain,
% 1.40/1.78 ( zero = join(meet(composition(zero,X1),complement(composition(zero,top))),composition(meet(zero,composition(complement(composition(zero,top)),converse(X1))),meet(X1,zero))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.6','0.76.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2.1.1','L')]).
% 1.40/1.78 cnf('0.556.0.8',plain,
% 1.40/1.78 ( zero = join(meet(composition(zero,X1),complement(composition(zero,top))),composition(zero,meet(X1,zero))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.7','0.69.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2.1','L')]).
% 1.40/1.78 cnf('0.556.0.9',plain,
% 1.40/1.78 ( zero = join(meet(composition(zero,X1),complement(composition(zero,top))),composition(zero,zero)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.8','0.70.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2.2','L')]).
% 1.40/1.78 cnf('0.556.0.10',plain,
% 1.40/1.78 ( zero = join(meet(composition(zero,X1),complement(composition(zero,top))),zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.9','0.478.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2','L')]).
% 1.40/1.78 cnf('0.556.0.11',plain,
% 1.40/1.78 ( zero = meet(composition(zero,X1),complement(composition(zero,top))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.556.0.10','0.66.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.556.1.0',plain,
% 1.40/1.78 ( zero = meet(composition(zero,X1),complement(composition(zero,top))) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.556.0.11']),
% 1.40/1.78 [weight('<89,526,469,[0,0,0,17]>')]).
% 1.40/1.78 cnf('0.556.2.0',plain,
% 1.40/1.78 ( meet(composition(zero,X1),complement(composition(zero,top))) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.556.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_551]).
% 1.40/1.78 cnf('0.558.0.0',plain,
% 1.40/1.78 ( join(composition(zero,top),composition(zero,X1)) = join(composition(zero,top),zero) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.152.2.0','0.556.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.558.0.1',plain,
% 1.40/1.78 ( join(composition(zero,top),composition(zero,X1)) = composition(zero,top) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.558.0.0','0.66.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.558.1.0',plain,
% 1.40/1.78 ( join(composition(zero,top),composition(zero,X1)) = composition(zero,top) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.558.0.1']),
% 1.40/1.78 [weight('<87,556,152,[0,0,0,2]>')]).
% 1.40/1.78 cnf('0.558.2.0',plain,
% 1.40/1.78 ( join(composition(zero,top),composition(zero,X1)) = composition(zero,top) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.558.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_553]).
% 1.40/1.78 cnf('0.559.0.0',plain,
% 1.40/1.78 ( composition(zero,top) = composition(join(zero,composition(zero,X1)),top) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.558.2.0','0.265.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.559.0.1',plain,
% 1.40/1.78 ( composition(zero,top) = composition(composition(zero,X1),top) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.559.0.0','0.63.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1','L')]).
% 1.40/1.78 cnf('0.559.0.2',plain,
% 1.40/1.78 ( composition(zero,top) = composition(zero,composition(X1,top)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.559.0.1','0.4.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.559.1.0',plain,
% 1.40/1.78 ( composition(zero,top) = composition(zero,composition(X1,top)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.559.0.2']),
% 1.40/1.78 [weight('<53,558,265,[1,0,0,0]>')]).
% 1.40/1.78 cnf('0.559.2.0',plain,
% 1.40/1.78 ( composition(zero,composition(X1,top)) = composition(zero,top) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.559.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_554]).
% 1.40/1.78 cnf('0.565.0.0',plain,
% 1.40/1.78 ( composition(join(composition(zero,X1),X2),top) = join(composition(zero,top),composition(X2,top)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.214.2.0','0.559.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.565.0.1',plain,
% 1.40/1.78 ( composition(join(composition(zero,X1),X2),top) = composition(join(zero,X2),top) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.565.0.0','0.5.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.565.0.2',plain,
% 1.40/1.78 ( composition(join(composition(zero,X1),X2),top) = composition(X2,top) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.565.0.1','0.63.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1','L')]).
% 1.40/1.78 cnf('0.565.1.0',plain,
% 1.40/1.78 ( composition(join(composition(zero,X1),X2),top) = composition(X2,top) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.565.0.2']),
% 1.40/1.78 [weight('<87,559,214,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.565.2.0',plain,
% 1.40/1.78 ( composition(join(composition(zero,X1),X2),top) = composition(X2,top) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.565.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_560]).
% 1.40/1.78 cnf('0.566.0.0',plain,
% 1.40/1.78 ( composition(complement(composition(zero,X1)),top) = composition(top,top) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.565.2.0','0.10.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.566.1.0',plain,
% 1.40/1.78 ( composition(complement(composition(zero,X1)),top) = composition(top,top) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.566.0.0']),
% 1.40/1.78 [weight('<69,565,10,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.566.2.0',plain,
% 1.40/1.78 ( composition(complement(composition(zero,X1)),top) = composition(top,top) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.566.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_561]).
% 1.40/1.78 cnf('0.574.0.0',plain,
% 1.40/1.78 ( composition(top,converse(complement(composition(zero,X1)))) = converse(composition(top,top)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.58.2.0','0.566.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.574.0.1',plain,
% 1.40/1.78 ( composition(top,complement(converse(composition(zero,X1)))) = converse(composition(top,top)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.574.0.0','0.183.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.574.0.2',plain,
% 1.40/1.78 ( composition(top,complement(composition(converse(X1),zero))) = converse(composition(top,top)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.574.0.1','0.78.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1','L')]).
% 1.40/1.78 cnf('0.574.0.3',plain,
% 1.40/1.78 ( composition(top,complement(composition(converse(X1),zero))) = composition(converse(top),top) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.574.0.2','0.59.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.574.0.4',plain,
% 1.40/1.78 ( composition(top,complement(composition(converse(X1),zero))) = composition(top,top) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.574.0.3','0.56.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1','L')]).
% 1.40/1.78 cnf('0.574.1.0',plain,
% 1.40/1.78 ( composition(top,complement(composition(converse(X1),zero))) = composition(top,top) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.574.0.4']),
% 1.40/1.78 [weight('<87,566,58,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.574.2.0',plain,
% 1.40/1.78 ( composition(top,complement(composition(converse(X1),zero))) = composition(top,top) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.574.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_569]).
% 1.40/1.78 cnf('0.575.0.0',plain,
% 1.40/1.78 ( complement(complement(composition(converse(X1),zero))) = join(complement(complement(composition(converse(X1),zero))),composition(converse(top),complement(composition(top,top)))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.11.2.0','0.574.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2.1','L')]).
% 1.40/1.78 cnf('0.575.0.1',plain,
% 1.40/1.78 ( composition(converse(X1),zero) = join(complement(complement(composition(converse(X1),zero))),composition(converse(top),complement(composition(top,top)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.575.0.0','0.68.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.575.0.2',plain,
% 1.40/1.78 ( composition(converse(X1),zero) = join(composition(converse(X1),zero),composition(converse(top),complement(composition(top,top)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.575.0.1','0.68.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1','L')]).
% 1.40/1.78 cnf('0.575.0.3',plain,
% 1.40/1.78 ( composition(converse(X1),zero) = join(composition(converse(X1),zero),composition(top,complement(composition(top,top)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.575.0.2','0.56.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2.1','L')]).
% 1.40/1.78 cnf('0.575.0.4',plain,
% 1.40/1.78 ( composition(converse(X1),zero) = join(composition(converse(X1),zero),composition(top,zero)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.575.0.3','0.523.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2','L')]).
% 1.40/1.78 cnf('0.575.0.5',plain,
% 1.40/1.78 ( composition(converse(X1),zero) = composition(join(converse(X1),top),zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.575.0.4','0.5.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.575.0.6',plain,
% 1.40/1.78 ( composition(converse(X1),zero) = composition(top,zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.575.0.5','0.54.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.1','L')]).
% 1.40/1.78 cnf('0.575.1.0',plain,
% 1.40/1.78 ( composition(converse(X1),zero) = composition(top,zero) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.575.0.6']),
% 1.40/1.78 [weight('<39,574,11,[0,0,0,7]>')]).
% 1.40/1.78 cnf('0.575.2.0',plain,
% 1.40/1.78 ( composition(converse(X1),zero) = composition(top,zero) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.575.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_570]).
% 1.40/1.78 cnf('0.576.0.0',plain,
% 1.40/1.78 ( composition(converse(meet(meet(one,X1),X2)),zero) = zero ),
% 1.40/1.78 inference(interreduction_right,[status(thm)],['0.541.2.0'])).
% 1.40/1.78 cnf('0.576.0.1',plain,
% 1.40/1.78 ( composition(top,zero) = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.576.0.0','0.575.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.576.1.0',plain,
% 1.40/1.78 ( composition(top,zero) = zero ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.576.0.1']),
% 1.40/1.78 [weight('<19,541,575,[0,0,0,0]>')]).
% 1.40/1.78 cnf('0.576.2.0',plain,
% 1.40/1.78 ( composition(top,zero) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.576.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_571]).
% 1.40/1.78 cnf('0.577.0.0',plain,
% 1.40/1.78 ( composition(meet(X1,composition(top,zero)),zero) = composition(X1,zero) ),
% 1.40/1.78 inference(interreduction_right,[status(thm)],['0.477.2.0'])).
% 1.40/1.78 cnf('0.577.0.1',plain,
% 1.40/1.78 ( composition(meet(X1,zero),zero) = composition(X1,zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.577.0.0','0.576.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.2','L')]).
% 1.40/1.78 cnf('0.577.0.2',plain,
% 1.40/1.78 ( composition(zero,zero) = composition(X1,zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.577.0.1','0.70.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.577.0.3',plain,
% 1.40/1.78 ( zero = composition(X1,zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.577.0.2','0.478.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.577.1.0',plain,
% 1.40/1.78 ( zero = composition(X1,zero) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.577.0.3']),
% 1.40/1.78 [weight('<19,477,576,[0,0,0,0]>')]).
% 1.40/1.78 cnf('0.577.2.0',plain,
% 1.40/1.78 ( composition(X1,zero) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.577.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_572]).
% 1.40/1.78 cnf('0.578.0.0',plain,
% 1.40/1.78 ( composition(converse(zero),X1) = converse(zero) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.30.2.0','0.577.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.578.0.1',plain,
% 1.40/1.78 ( composition(zero,X1) = converse(zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.578.0.0','0.76.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.578.0.2',plain,
% 1.40/1.78 ( composition(zero,X1) = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.578.0.1','0.76.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.578.1.0',plain,
% 1.40/1.78 ( composition(zero,X1) = zero ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.578.0.2']),
% 1.40/1.78 [weight('<19,577,30,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.578.2.0',plain,
% 1.40/1.78 ( composition(zero,X1) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.578.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_573]).
% 1.40/1.78 cnf('0.724.0.0',plain,
% 1.40/1.78 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.5.2.0','0.7.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.724.1.0',plain,
% 1.40/1.78 ( composition(join(X1,converse(X2)),converse(X3)) = join(composition(X1,converse(X3)),converse(composition(X3,X2))) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.724.0.0']),
% 1.40/1.78 [weight('<?,7,5,[0,0,0,4]>')]).
% 1.40/1.78 cnf('0.724.2.0',plain,
% 1.40/1.78 ( join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.724.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_717]).
% 1.40/1.78 cnf('0.1570.0.0',plain,
% 1.40/1.78 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.14.2.0','0.30.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.1570.1.0',plain,
% 1.40/1.78 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.1570.0.0']),
% 1.40/1.78 [weight('<119,30,14,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.1570.2.0',plain,
% 1.40/1.78 ( converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.1570.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_1558]).
% 1.40/1.78 cnf('0.1571.0.0',plain,
% 1.40/1.78 ( join(composition(converse(converse(X1)),X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.1570.2.0','0.724.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.1571.0.1',plain,
% 1.40/1.78 ( join(composition(X1,X2),converse(converse(composition(X1,X3)))) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1571.0.0','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.1','L')]).
% 1.40/1.78 cnf('0.1571.0.2',plain,
% 1.40/1.78 ( join(composition(X1,X2),composition(X1,X3)) = converse(composition(join(converse(X2),converse(X3)),converse(X1))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1571.0.1','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.1571.0.3',plain,
% 1.40/1.78 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,converse(join(converse(X2),converse(X3)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1571.0.2','0.29.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.1571.0.4',plain,
% 1.40/1.78 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,converse(converse(X3)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1571.0.3','0.45.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2','L')]).
% 1.40/1.78 cnf('0.1571.0.5',plain,
% 1.40/1.78 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1571.0.4','0.3.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2.2','L')]).
% 1.40/1.78 cnf('0.1571.1.0',plain,
% 1.40/1.78 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.1571.0.5']),
% 1.40/1.78 [weight('<103,1570,724,[1,0,0,1]>')]).
% 1.40/1.78 cnf('0.1571.2.0',plain,
% 1.40/1.78 ( join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.1571.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_1559]).
% 1.40/1.78 cnf('0.1572.0.0',plain,
% 1.40/1.78 ( meet(composition(sk1,X1),sk3) = meet(sk3,composition(sk1,join(sk2,X1))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.369.2.0','0.1571.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.1572.1.0',plain,
% 1.40/1.78 ( meet(composition(sk1,X1),sk3) = meet(sk3,composition(sk1,join(sk2,X1))) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.1572.0.0']),
% 1.40/1.78 [weight('<103,1571,369,[0,0,0,2]>')]).
% 1.40/1.78 cnf('0.1572.1.1',plain,
% 1.40/1.78 ( meet(sk3,composition(sk1,X1)) = meet(sk3,composition(sk1,join(sk2,X1))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1572.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.1572.2.0',plain,
% 1.40/1.78 ( meet(sk3,composition(sk1,join(sk2,X1))) = meet(sk3,composition(sk1,X1)) ),
% 1.40/1.78 inference(orient,[status(thm)],['0.1572.1.1',theory(equality)]),
% 1.40/1.78 [x,rule_1560]).
% 1.40/1.78 cnf('0.1573.0.0',plain,
% 1.40/1.78 ( meet(sk3,composition(sk1,meet(sk2,X1))) = meet(sk3,composition(sk1,sk2)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.1572.2.0','0.80.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2','L')]).
% 1.40/1.78 cnf('0.1573.0.1',plain,
% 1.40/1.78 ( meet(sk3,composition(sk1,meet(sk2,X1))) = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1573.0.0','0.22.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.1573.1.0',plain,
% 1.40/1.78 ( meet(sk3,composition(sk1,meet(sk2,X1))) = zero ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.1573.0.1']),
% 1.40/1.78 [weight('<71,1572,80,[1,0,0,4]>')]).
% 1.40/1.78 cnf('0.1573.2.0',plain,
% 1.40/1.78 ( meet(sk3,composition(sk1,meet(sk2,X1))) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.1573.1.0',theory(equality)]),
% 1.40/1.78 [u,rule_1561]).
% 1.40/1.78 cnf('0.1577.0.0',plain,
% 1.40/1.78 ( composition(meet(sk3,composition(sk1,meet(sk2,X1))),meet(converse(meet(sk2,X1)),composition(converse(sk3),sk1))) = join(meet(composition(sk3,converse(meet(sk2,X1))),sk1),composition(zero,meet(converse(meet(sk2,X1)),composition(converse(sk3),sk1)))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.418.2.0','0.1573.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.1','L')]).
% 1.40/1.78 cnf('0.1577.0.1',plain,
% 1.40/1.78 ( composition(zero,meet(converse(meet(sk2,X1)),composition(converse(sk3),sk1))) = join(meet(composition(sk3,converse(meet(sk2,X1))),sk1),composition(zero,meet(converse(meet(sk2,X1)),composition(converse(sk3),sk1)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1577.0.0','0.1573.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.1577.0.2',plain,
% 1.40/1.78 ( zero = join(meet(composition(sk3,converse(meet(sk2,X1))),sk1),composition(zero,meet(converse(meet(sk2,X1)),composition(converse(sk3),sk1)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1577.0.1','0.578.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.1577.0.3',plain,
% 1.40/1.78 ( zero = join(meet(composition(sk3,converse(meet(sk2,X1))),sk1),zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1577.0.2','0.578.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2','L')]).
% 1.40/1.78 cnf('0.1577.0.4',plain,
% 1.40/1.78 ( zero = meet(composition(sk3,converse(meet(sk2,X1))),sk1) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1577.0.3','0.66.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.1577.1.0',plain,
% 1.40/1.78 ( zero = meet(composition(sk3,converse(meet(sk2,X1))),sk1) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.1577.0.4']),
% 1.40/1.78 [weight('<89,1573,418,[0,0,0,8]>')]).
% 1.40/1.78 cnf('0.1577.1.1',plain,
% 1.40/1.78 ( zero = meet(sk1,composition(sk3,converse(meet(sk2,X1)))) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1577.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.1577.2.0',plain,
% 1.40/1.78 ( meet(sk1,composition(sk3,converse(meet(sk2,X1)))) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.1577.1.1',theory(equality)]),
% 1.40/1.78 [x,rule_1565]).
% 1.40/1.78 cnf('0.1578.0.0',plain,
% 1.40/1.78 ( zero = meet(sk1,composition(sk3,converse(sk2))) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.1577.2.0','0.67.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2.1','L')]).
% 1.40/1.78 cnf('0.1578.1.0',plain,
% 1.40/1.78 ( zero = meet(sk1,composition(sk3,converse(sk2))) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.1578.0.0']),
% 1.40/1.78 [weight('<55,1577,67,[1,0,0,5]>')]).
% 1.40/1.78 cnf('0.1578.2.0',plain,
% 1.40/1.78 ( meet(sk1,composition(sk3,converse(sk2))) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.1578.1.0',theory(equality)]),
% 1.40/1.78 [x,rule_1566]).
% 1.40/1.78 cnf('0.1581.0.0',plain,
% 1.40/1.78 ( composition(meet(converse(sk3),composition(converse(sk2),converse(sk1))),meet(sk1,composition(sk3,converse(sk2)))) = join(meet(composition(converse(sk3),sk1),converse(sk2)),composition(meet(converse(sk3),composition(converse(sk2),converse(sk1))),zero)) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.469.2.0','0.1578.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2.2','L')]).
% 1.40/1.78 cnf('0.1581.0.1',plain,
% 1.40/1.78 ( composition(meet(converse(sk3),converse(composition(sk1,sk2))),meet(sk1,composition(sk3,converse(sk2)))) = join(meet(composition(converse(sk3),sk1),converse(sk2)),composition(meet(converse(sk3),composition(converse(sk2),converse(sk1))),zero)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1581.0.0','0.7.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1.2','L')]).
% 1.40/1.78 cnf('0.1581.0.2',plain,
% 1.40/1.78 ( composition(converse(meet(composition(sk1,sk2),sk3)),meet(sk1,composition(sk3,converse(sk2)))) = join(meet(composition(converse(sk3),sk1),converse(sk2)),composition(meet(converse(sk3),composition(converse(sk2),converse(sk1))),zero)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1581.0.1','0.199.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.1581.0.3',plain,
% 1.40/1.78 ( composition(converse(meet(composition(sk1,sk2),sk3)),zero) = join(meet(composition(converse(sk3),sk1),converse(sk2)),composition(meet(converse(sk3),composition(converse(sk2),converse(sk1))),zero)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1581.0.2','0.1578.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.2','L')]).
% 1.40/1.78 cnf('0.1581.0.4',plain,
% 1.40/1.78 ( zero = join(meet(composition(converse(sk3),sk1),converse(sk2)),composition(meet(converse(sk3),composition(converse(sk2),converse(sk1))),zero)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1581.0.3','0.577.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.1581.0.5',plain,
% 1.40/1.78 ( zero = join(meet(composition(converse(sk3),sk1),converse(sk2)),zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1581.0.4','0.577.2.0',theory(equality)]),
% 1.40/1.78 [pos('R.2','L')]).
% 1.40/1.78 cnf('0.1581.0.6',plain,
% 1.40/1.78 ( zero = meet(composition(converse(sk3),sk1),converse(sk2)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1581.0.5','0.66.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.1581.1.0',plain,
% 1.40/1.78 ( zero = meet(composition(converse(sk3),sk1),converse(sk2)) ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.1581.0.6']),
% 1.40/1.78 [weight('<71,1578,469,[0,0,0,15]>')]).
% 1.40/1.78 cnf('0.1581.1.1',plain,
% 1.40/1.78 ( zero = meet(converse(sk2),composition(converse(sk3),sk1)) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1581.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.1581.2.0',plain,
% 1.40/1.78 ( meet(converse(sk2),composition(converse(sk3),sk1)) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.1581.1.1',theory(equality)]),
% 1.40/1.78 [x,rule_1569]).
% 1.40/1.78 cnf('0.1582.0.0',plain,
% 1.40/1.78 ( meet(converse(composition(converse(sk3),sk1)),sk2) = converse(zero) ),
% 1.40/1.78 inference(cp,[status(thm)],['0.198.2.0','0.1581.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.1582.0.1',plain,
% 1.40/1.78 ( meet(composition(converse(sk1),sk3),sk2) = converse(zero) ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1582.0.0','0.30.2.0',theory(equality)]),
% 1.40/1.78 [pos('L.1','L')]).
% 1.40/1.78 cnf('0.1582.0.2',plain,
% 1.40/1.78 ( meet(composition(converse(sk1),sk3),sk2) = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1582.0.1','0.76.2.0',theory(equality)]),
% 1.40/1.78 [pos('R','L')]).
% 1.40/1.78 cnf('0.1582.1.0',plain,
% 1.40/1.78 ( meet(composition(converse(sk1),sk3),sk2) = zero ),
% 1.40/1.78 inference(weigh,[status(thm)],['0.1582.0.2']),
% 1.40/1.78 [weight('<55,1581,198,[0,0,0,1]>')]).
% 1.40/1.78 cnf('0.1582.1.1',plain,
% 1.40/1.78 ( meet(sk2,composition(converse(sk1),sk3)) = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['0.1582.1.0','0.21.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('0.1582.2.0',plain,
% 1.40/1.78 ( meet(sk2,composition(converse(sk1),sk3)) = zero ),
% 1.40/1.78 inference(orient,[status(thm)],['0.1582.1.1',theory(equality)]),
% 1.40/1.78 [u,rule_1570]).
% 1.40/1.78 cnf('1.0.0.0',conjecture,
% 1.40/1.78 ( meet(sk2,composition(converse(sk1),sk3)) = zero ),
% 1.40/1.78 file('/tmp/WALDMEISTER_5087_n006',conjecture_1)).
% 1.40/1.78 cnf('1.0.0.1',plain,
% 1.40/1.78 ( zero = zero ),
% 1.40/1.78 inference(reduction,[status(thm)],['1.0.0.0','0.1582.2.0',theory(equality)]),
% 1.40/1.78 [pos('L','L')]).
% 1.40/1.78 cnf('1.0.0.2',plain,
% 1.40/1.78 ( $true ),
% 1.40/1.78 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 1.40/1.78 [conjecture_1]).
% 1.40/1.78
% 1.40/1.78 Proved Goals:
% 1.40/1.78 No. 1: meet(sk2,composition(converse(sk1),sk3)) ?= zero joined, current: zero = zero
% 1.40/1.78 1 goal was specified, which was proved.
% 1.40/1.78 % SZS output end CNFRefutation
% 1.40/1.78 #END OF PROOF
% 1.40/1.78
% 1.40/1.78 Problem WALDMEISTER_5087_n006
% 1.40/1.78 CPs.gen 304639
% 1.40/1.78 CPs.reexp 0
% 1.40/1.78 Select 20189
% 1.40/1.78 R 1570
% 1.40/1.78 E 12
% 1.40/1.78 vsize 9.2M
% 1.40/1.78 rss 4.8M
% 1.40/1.78 process.time 0.793s
% 1.40/1.78 wallclock.time 0.793s
% 1.40/1.78 status S
% 1.40/1.78
% 1.40/1.78
% 1.40/1.78 Waldmeister states: Goal proved.
% 1.40/1.78 % SZS status Unsatisfiable
%------------------------------------------------------------------------------