TSTP Solution File: REL019-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL019-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:09:51 EDT 2022
% Result : Unsatisfiable 0.84s 1.23s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : REL019-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 14:48:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) composition(meet(sk1,sk2),top) ?=? meet(sk1,sk2)
% 0.59/0.99
% 0.59/0.99 Detected structure: Orkus
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.84/1.23 joined goal: 1 composition(meet(sk1,sk2),top) ?= meet(sk1,sk2) to meet(sk2,sk1)
% 0.84/1.23 goal joined
% 0.84/1.23 % SZS status Unsatisfiable
% 0.84/1.23 #START OF PROOF
% 0.84/1.23 % SZS output start CNFRefutation
% 0.84/1.23 cnf('0.1.0.0',axiom,
% 0.84/1.23 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.1.1.0',plain,
% 0.84/1.23 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.84/1.23 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.84/1.23 cnf('0.1.2.0',plain,
% 0.84/1.23 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_1]).
% 0.84/1.23 cnf('0.2.0.0',axiom,
% 0.84/1.23 ( X1 = composition(X1,one) ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.2.1.0',plain,
% 0.84/1.23 ( X1 = composition(X1,one) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.84/1.23 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.84/1.23 cnf('0.2.2.0',plain,
% 0.84/1.23 ( composition(X1,one) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_2]).
% 0.84/1.23 cnf('0.3.0.0',axiom,
% 0.84/1.23 ( X1 = converse(converse(X1)) ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.3.1.0',plain,
% 0.84/1.23 ( X1 = converse(converse(X1)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.84/1.23 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.84/1.23 cnf('0.3.2.0',plain,
% 0.84/1.23 ( converse(converse(X1)) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_3]).
% 0.84/1.23 cnf('0.4.0.0',axiom,
% 0.84/1.23 ( join(X1,X2) = join(X2,X1) ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.4.1.0',plain,
% 0.84/1.23 ( join(X1,X2) = join(X2,X1) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.84/1.23 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.84/1.23 cnf('0.4.2.0',plain,
% 0.84/1.23 ( join(X1,X2) = join(X2,X1) ),
% 0.84/1.23 inference(activate,[status(thm)],['0.4.1.0']),
% 0.84/1.23 [equation_1]).
% 0.84/1.23 cnf('0.5.0.0',axiom,
% 0.84/1.23 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.5.1.0',plain,
% 0.84/1.23 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.84/1.23 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.84/1.23 cnf('0.5.2.0',plain,
% 0.84/1.23 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_4]).
% 0.84/1.23 cnf('0.6.0.0',axiom,
% 0.84/1.23 ( join(X1,complement(X1)) = top ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.6.1.0',plain,
% 0.84/1.23 ( join(X1,complement(X1)) = top ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.84/1.23 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.84/1.23 cnf('0.6.2.0',plain,
% 0.84/1.23 ( join(X1,complement(X1)) = top ),
% 0.84/1.23 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_5]).
% 0.84/1.23 cnf('0.7.0.0',axiom,
% 0.84/1.23 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.7.1.0',plain,
% 0.84/1.23 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.84/1.23 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.84/1.23 cnf('0.7.2.0',plain,
% 0.84/1.23 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_6]).
% 0.84/1.23 cnf('0.8.0.0',axiom,
% 0.84/1.23 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.8.1.0',plain,
% 0.84/1.23 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.84/1.23 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.84/1.23 cnf('0.8.1.1',plain,
% 0.84/1.23 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.8.1.0','0.4.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.8.2.0',plain,
% 0.84/1.23 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.8.1.1',theory(equality)]),
% 0.84/1.23 [u,rule_7]).
% 0.84/1.23 cnf('0.9.0.0',axiom,
% 0.84/1.23 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.9.1.0',plain,
% 0.84/1.23 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.84/1.23 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.84/1.23 cnf('0.9.2.0',plain,
% 0.84/1.23 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_8]).
% 0.84/1.23 cnf('0.11.0.0',axiom,
% 0.84/1.23 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.11.1.0',plain,
% 0.84/1.23 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.84/1.23 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.84/1.23 cnf('0.11.2.0',plain,
% 0.84/1.23 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_10]).
% 0.84/1.23 cnf('0.12.0.0',axiom,
% 0.84/1.23 ( composition(sk1,top) = sk1 ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.12.1.0',plain,
% 0.84/1.23 ( composition(sk1,top) = sk1 ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.84/1.23 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.84/1.23 cnf('0.12.2.0',plain,
% 0.84/1.23 ( composition(sk1,top) = sk1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_11]).
% 0.84/1.23 cnf('0.13.0.0',axiom,
% 0.84/1.23 ( composition(sk2,top) = sk2 ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.13.1.0',plain,
% 0.84/1.23 ( composition(sk2,top) = sk2 ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.84/1.23 [weight('<12,0,0,[0,0,0,13]>')]).
% 0.84/1.23 cnf('0.13.2.0',plain,
% 0.84/1.23 ( composition(sk2,top) = sk2 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_12]).
% 0.84/1.23 cnf('0.14.0.0',axiom,
% 0.84/1.23 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.14.1.0',plain,
% 0.84/1.23 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.84/1.23 [weight('<13,0,0,[0,0,0,14]>')]).
% 0.84/1.23 cnf('0.14.2.0',plain,
% 0.84/1.23 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_13]).
% 0.84/1.23 cnf('0.15.0.0',axiom,
% 0.84/1.23 ( meet(X1,complement(X1)) = zero ),
% 0.84/1.23 file('/tmp/WALDMEISTER_26392_n011')).
% 0.84/1.23 cnf('0.15.1.0',plain,
% 0.84/1.23 ( meet(X1,complement(X1)) = zero ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.84/1.23 [weight('<14,0,0,[0,0,0,15]>')]).
% 0.84/1.23 cnf('0.15.2.0',plain,
% 0.84/1.23 ( meet(X1,complement(X1)) = zero ),
% 0.84/1.23 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_14]).
% 0.84/1.23 cnf('0.16.0.0',plain,
% 0.84/1.23 ( meet(X1,complement(X1)) = complement(top) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.14.2.0','0.6.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.16.1.0',plain,
% 0.84/1.23 ( meet(X1,complement(X1)) = complement(top) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.84/1.23 [weight('<34,14,6,[1,0,0,1]>')]).
% 0.84/1.23 cnf('0.16.1.1',plain,
% 0.84/1.23 ( zero = complement(top) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.16.1.0','0.15.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.16.2.0',plain,
% 0.84/1.23 ( complement(top) = zero ),
% 0.84/1.23 inference(orient,[status(thm)],['0.16.1.1',theory(equality)]),
% 0.84/1.23 [x,rule_15]).
% 0.84/1.23 cnf('0.19.0.0',plain,
% 0.84/1.23 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.14.2.0','0.4.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.19.0.1',plain,
% 0.84/1.23 ( meet(X1,X2) = meet(X2,X1) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.19.0.0','0.14.2.0',theory(equality)]),
% 0.84/1.23 [pos('R','L')]).
% 0.84/1.23 cnf('0.19.1.0',plain,
% 0.84/1.23 ( meet(X1,X2) = meet(X2,X1) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.84/1.23 [weight('<48,14,4,[1,0,0,1]>')]).
% 0.84/1.23 cnf('0.19.2.0',plain,
% 0.84/1.23 ( meet(X1,X2) = meet(X2,X1) ),
% 0.84/1.23 inference(activate,[status(thm)],['0.19.1.0']),
% 0.84/1.23 [equation_2]).
% 0.84/1.23 cnf('0.28.0.0',plain,
% 0.84/1.23 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.28.1.0',plain,
% 0.84/1.23 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.84/1.23 [weight('<59,9,3,[1,0,0,1]>')]).
% 0.84/1.23 cnf('0.28.2.0',plain,
% 0.84/1.23 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_26]).
% 0.84/1.23 cnf('0.30.0.0',plain,
% 0.84/1.23 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.30.1.0',plain,
% 0.84/1.23 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.84/1.23 [weight('<59,11,3,[1,0,0,1]>')]).
% 0.84/1.23 cnf('0.30.2.0',plain,
% 0.84/1.23 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_28]).
% 0.84/1.23 cnf('0.31.0.0',plain,
% 0.84/1.23 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.2','L')]).
% 0.84/1.23 cnf('0.31.1.0',plain,
% 0.84/1.23 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.84/1.23 [weight('<59,11,3,[1,0,0,3]>')]).
% 0.84/1.23 cnf('0.31.2.0',plain,
% 0.84/1.23 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_29]).
% 0.84/1.23 cnf('0.32.0.0',plain,
% 0.84/1.23 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.31.2.0','0.2.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.32.0.1',plain,
% 0.84/1.23 ( composition(converse(one),X1) = X1 ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.32.0.0','0.3.2.0',theory(equality)]),
% 0.84/1.23 [pos('R','L')]).
% 0.84/1.23 cnf('0.32.1.0',plain,
% 0.84/1.23 ( composition(converse(one),X1) = X1 ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.84/1.23 [weight('<29,31,2,[1,0,0,1]>')]).
% 0.84/1.23 cnf('0.32.2.0',plain,
% 0.84/1.23 ( composition(converse(one),X1) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_30]).
% 0.84/1.23 cnf('0.33.0.0',plain,
% 0.84/1.23 ( one = converse(one) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.32.2.0','0.2.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.33.1.0',plain,
% 0.84/1.23 ( one = converse(one) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.84/1.23 [weight('<11,32,2,[1,0,0,0]>')]).
% 0.84/1.23 cnf('0.33.2.0',plain,
% 0.84/1.23 ( converse(one) = one ),
% 0.84/1.23 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_31]).
% 0.84/1.23 cnf('0.34.0.0',plain,
% 0.84/1.23 ( composition(converse(one),X1) = X1 ),
% 0.84/1.23 inference(interreduction_right,[status(thm)],['0.32.2.0'])).
% 0.84/1.23 cnf('0.34.0.1',plain,
% 0.84/1.23 ( composition(one,X1) = X1 ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.34.0.0','0.33.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.34.1.0',plain,
% 0.84/1.23 ( composition(one,X1) = X1 ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.84/1.23 [weight('<19,32,33,[0,0,0,0]>')]).
% 0.84/1.23 cnf('0.34.2.0',plain,
% 0.84/1.23 ( composition(one,X1) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_32]).
% 0.84/1.23 cnf('0.37.0.0',plain,
% 0.84/1.23 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.8.2.0','0.34.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.2.2.1','L')]).
% 0.84/1.23 cnf('0.37.0.1',plain,
% 0.84/1.23 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.37.0.0','0.33.2.0',theory(equality)]),
% 0.84/1.23 [pos('R.2.1','L')]).
% 0.84/1.23 cnf('0.37.0.2',plain,
% 0.84/1.23 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.37.0.1','0.34.2.0',theory(equality)]),
% 0.84/1.23 [pos('R.2','L')]).
% 0.84/1.23 cnf('0.37.1.0',plain,
% 0.84/1.23 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.37.0.2']),
% 0.84/1.23 [weight('<47,34,8,[0,0,0,7]>')]).
% 0.84/1.23 cnf('0.37.2.0',plain,
% 0.84/1.23 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_35]).
% 0.84/1.23 cnf('0.38.0.0',plain,
% 0.84/1.23 ( complement(top) = join(zero,complement(top)) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.37.2.0','0.16.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.38.0.1',plain,
% 0.84/1.23 ( zero = join(zero,complement(top)) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.38.0.0','0.16.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.38.0.2',plain,
% 0.84/1.23 ( zero = join(zero,zero) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.38.0.1','0.16.2.0',theory(equality)]),
% 0.84/1.23 [pos('R.2','L')]).
% 0.84/1.23 cnf('0.38.1.0',plain,
% 0.84/1.23 ( zero = join(zero,zero) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.38.0.2']),
% 0.84/1.23 [weight('<19,37,16,[1,0,0,1]>')]).
% 0.84/1.23 cnf('0.38.2.0',plain,
% 0.84/1.23 ( join(zero,zero) = zero ),
% 0.84/1.23 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_36]).
% 0.84/1.23 cnf('0.41.0.0',plain,
% 0.84/1.23 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.14.2.0','0.37.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.41.1.0',plain,
% 0.84/1.23 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.41.0.0']),
% 0.84/1.23 [weight('<48,37,14,[0,0,0,1]>')]).
% 0.84/1.23 cnf('0.41.2.0',plain,
% 0.84/1.23 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.84/1.23 inference(activate,[status(thm)],['0.41.1.0']),
% 0.84/1.23 [equation_3]).
% 0.84/1.23 cnf('0.42.0.0',plain,
% 0.84/1.23 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.5.2.0','0.38.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.42.1.0',plain,
% 0.84/1.23 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.84/1.23 [weight('<53,38,5,[0,0,0,1]>')]).
% 0.84/1.23 cnf('0.42.2.0',plain,
% 0.84/1.23 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_39]).
% 0.84/1.23 cnf('0.43.0.0',plain,
% 0.84/1.23 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.42.2.0','0.4.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.2','L')]).
% 0.84/1.23 cnf('0.43.1.0',plain,
% 0.84/1.23 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.84/1.23 [weight('<53,42,4,[1,0,0,2]>')]).
% 0.84/1.23 cnf('0.43.2.0',plain,
% 0.84/1.23 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_40]).
% 0.84/1.23 cnf('0.46.0.0',plain,
% 0.84/1.23 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.28.2.0','0.6.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.46.1.0',plain,
% 0.84/1.23 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.84/1.23 [weight('<62,28,6,[1,0,0,1]>')]).
% 0.84/1.23 cnf('0.46.2.0',plain,
% 0.84/1.23 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_43]).
% 0.84/1.23 cnf('0.56.0.0',plain,
% 0.84/1.23 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.7.2.0','0.34.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.56.1.0',plain,
% 0.84/1.23 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.56.0.0']),
% 0.84/1.23 [weight('<65,34,7,[0,0,0,1]>')]).
% 0.84/1.23 cnf('0.56.2.0',plain,
% 0.84/1.23 ( join(X1,composition(X2,X1)) = composition(join(one,X2),X1) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_53]).
% 0.84/1.23 cnf('0.57.0.0',plain,
% 0.84/1.23 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.57.1.0',plain,
% 0.84/1.23 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.84/1.23 [weight('<69,6,5,[0,0,0,1]>')]).
% 0.84/1.23 cnf('0.57.2.0',plain,
% 0.84/1.23 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 0.84/1.23 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_54]).
% 0.84/1.23 cnf('0.58.0.0',plain,
% 0.84/1.23 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.57.2.0','0.37.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.2','L')]).
% 0.84/1.23 cnf('0.58.0.1',plain,
% 0.84/1.23 ( join(top,complement(X1)) = top ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.58.0.0','0.6.2.0',theory(equality)]),
% 0.84/1.23 [pos('R','L')]).
% 0.84/1.23 cnf('0.58.1.0',plain,
% 0.84/1.23 ( join(top,complement(X1)) = top ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.58.0.1']),
% 0.84/1.23 [weight('<29,57,37,[1,0,0,2]>')]).
% 0.84/1.23 cnf('0.58.2.0',plain,
% 0.84/1.23 ( join(top,complement(X1)) = top ),
% 0.84/1.23 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_55]).
% 0.84/1.23 cnf('0.60.0.0',plain,
% 0.84/1.23 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.84/1.23 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.84/1.23 cnf('0.60.1.0',plain,
% 0.84/1.23 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.60.0.0']),
% 0.84/1.23 [weight('<?,1,4,[0,0,0,0]>')]).
% 0.84/1.23 cnf('0.60.1.1',plain,
% 0.84/1.23 ( join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1 ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.60.1.0','0.4.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.60.1.2',plain,
% 0.84/1.23 ( join(complement(join(complement(X1),X2)),meet(X1,X2)) = X1 ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.60.1.1','0.14.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.2','L')]).
% 0.84/1.23 cnf('0.60.1.3',plain,
% 0.84/1.23 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.60.1.2','0.4.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.60.2.0',plain,
% 0.84/1.23 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.60.1.3',theory(equality)]),
% 0.84/1.23 [u,rule_57]).
% 0.84/1.23 cnf('0.61.0.0',plain,
% 0.84/1.23 ( top = join(top,meet(X1,X2)) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.58.2.0','0.14.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.2','L')]).
% 0.84/1.23 cnf('0.61.1.0',plain,
% 0.84/1.23 ( top = join(top,meet(X1,X2)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.61.0.0']),
% 0.84/1.23 [weight('<41,58,14,[1,0,0,2]>')]).
% 0.84/1.23 cnf('0.61.2.0',plain,
% 0.84/1.23 ( join(top,meet(X1,X2)) = top ),
% 0.84/1.23 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_58]).
% 0.84/1.23 cnf('0.62.0.0',plain,
% 0.84/1.23 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.60.2.0','0.15.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.62.0.1',plain,
% 0.84/1.23 ( X1 = join(zero,meet(X1,X1)) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.62.0.0','0.14.2.0',theory(equality)]),
% 0.84/1.23 [pos('R.2','L')]).
% 0.84/1.23 cnf('0.62.1.0',plain,
% 0.84/1.23 ( X1 = join(zero,meet(X1,X1)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.62.0.1']),
% 0.84/1.23 [weight('<41,60,15,[1,0,0,1]>')]).
% 0.84/1.23 cnf('0.62.2.0',plain,
% 0.84/1.23 ( join(zero,meet(X1,X1)) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_59]).
% 0.84/1.23 cnf('0.63.0.0',plain,
% 0.84/1.23 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.42.2.0','0.62.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.2','L')]).
% 0.84/1.23 cnf('0.63.0.1',plain,
% 0.84/1.23 ( X1 = join(zero,X1) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.63.0.0','0.62.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.63.1.0',plain,
% 0.84/1.23 ( X1 = join(zero,X1) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.63.0.1']),
% 0.84/1.23 [weight('<19,62,42,[0,0,0,2]>')]).
% 0.84/1.23 cnf('0.63.2.0',plain,
% 0.84/1.23 ( join(zero,X1) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_60]).
% 0.84/1.23 cnf('0.66.0.0',plain,
% 0.84/1.23 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 0.84/1.23 inference(interreduction_right,[status(thm)],['0.43.2.0'])).
% 0.84/1.23 cnf('0.66.0.1',plain,
% 0.84/1.23 ( join(X1,zero) = join(zero,X1) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.66.0.0','0.63.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.66.0.2',plain,
% 0.84/1.23 ( join(X1,zero) = X1 ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.66.0.1','0.63.2.0',theory(equality)]),
% 0.84/1.23 [pos('R','L')]).
% 0.84/1.23 cnf('0.66.1.0',plain,
% 0.84/1.23 ( join(X1,zero) = X1 ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.66.0.2']),
% 0.84/1.23 [weight('<19,43,63,[0,0,0,0]>')]).
% 0.84/1.23 cnf('0.66.2.0',plain,
% 0.84/1.23 ( join(X1,zero) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_63]).
% 0.84/1.23 cnf('0.67.0.0',plain,
% 0.84/1.23 ( join(zero,meet(X1,X1)) = X1 ),
% 0.84/1.23 inference(interreduction_right,[status(thm)],['0.62.2.0'])).
% 0.84/1.23 cnf('0.67.0.1',plain,
% 0.84/1.23 ( meet(X1,X1) = X1 ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.67.0.0','0.63.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.67.1.0',plain,
% 0.84/1.23 ( meet(X1,X1) = X1 ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.67.0.1']),
% 0.84/1.23 [weight('<19,62,63,[0,0,0,0]>')]).
% 0.84/1.23 cnf('0.67.2.0',plain,
% 0.84/1.23 ( meet(X1,X1) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 0.84/1.23 [u,rule_64]).
% 0.84/1.23 cnf('0.68.0.0',plain,
% 0.84/1.23 ( meet(X1,X1) = complement(complement(X1)) ),
% 0.84/1.23 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 0.84/1.23 cnf('0.68.0.1',plain,
% 0.84/1.23 ( X1 = complement(complement(X1)) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.68.0.0','0.67.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.68.1.0',plain,
% 0.84/1.23 ( X1 = complement(complement(X1)) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.68.0.1']),
% 0.84/1.23 [weight('<19,41,67,[0,0,0,0]>')]).
% 0.84/1.23 cnf('0.68.2.0',plain,
% 0.84/1.23 ( complement(complement(X1)) = X1 ),
% 0.84/1.23 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_65]).
% 0.84/1.23 cnf('0.70.0.0',plain,
% 0.84/1.23 ( top = join(top,X1) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.61.2.0','0.67.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.2','L')]).
% 0.84/1.23 cnf('0.70.1.0',plain,
% 0.84/1.23 ( top = join(top,X1) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.70.0.0']),
% 0.84/1.23 [weight('<19,67,61,[0,0,0,2]>')]).
% 0.84/1.23 cnf('0.70.2.0',plain,
% 0.84/1.23 ( join(top,X1) = top ),
% 0.84/1.23 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_67]).
% 0.84/1.23 cnf('0.71.0.0',plain,
% 0.84/1.23 ( top = converse(top) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.70.2.0','0.46.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.71.1.0',plain,
% 0.84/1.23 ( top = converse(top) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.71.0.0']),
% 0.84/1.23 [weight('<11,70,46,[1,0,0,0]>')]).
% 0.84/1.23 cnf('0.71.2.0',plain,
% 0.84/1.23 ( converse(top) = top ),
% 0.84/1.23 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 0.84/1.23 [x,rule_68]).
% 0.84/1.23 cnf('0.72.0.0',plain,
% 0.84/1.23 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 0.84/1.23 inference(cp,[status(thm)],['0.37.2.0','0.68.2.0',theory(equality)]),
% 0.84/1.23 [pos('L.1','L')]).
% 0.84/1.23 cnf('0.72.0.1',plain,
% 0.84/1.23 ( X1 = join(X1,complement(complement(X1))) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.72.0.0','0.68.2.0',theory(equality)]),
% 0.84/1.23 [pos('L','L')]).
% 0.84/1.23 cnf('0.72.0.2',plain,
% 0.84/1.23 ( X1 = join(X1,X1) ),
% 0.84/1.23 inference(reduction,[status(thm)],['0.72.0.1','0.68.2.0',theory(equality)]),
% 0.84/1.23 [pos('R.2','L')]).
% 0.84/1.23 cnf('0.72.1.0',plain,
% 0.84/1.23 ( X1 = join(X1,X1) ),
% 0.84/1.23 inference(weigh,[status(thm)],['0.72.0.2']),
% 0.84/1.23 [weight('<19,68,37,[0,0,0,1]>')]).
% 0.84/1.23 cnf('0.72.2.0',plain,
% 0.84/1.23 ( join(X1,X1) = X1 ),
% 0.84/1.24 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_69]).
% 0.84/1.24 cnf('0.74.0.0',plain,
% 0.84/1.24 ( top = join(X1,top) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.70.2.0','0.4.2.0',theory(equality)]),
% 0.84/1.24 [pos('L','L')]).
% 0.84/1.24 cnf('0.74.1.0',plain,
% 0.84/1.24 ( top = join(X1,top) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.74.0.0']),
% 0.84/1.24 [weight('<19,70,4,[1,0,0,0]>')]).
% 0.84/1.24 cnf('0.74.2.0',plain,
% 0.84/1.24 ( join(X1,top) = top ),
% 0.84/1.24 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_71]).
% 0.84/1.24 cnf('0.75.0.0',plain,
% 0.84/1.24 ( X1 = join(meet(X1,top),complement(top)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.60.2.0','0.74.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2.1','L')]).
% 0.84/1.24 cnf('0.75.0.1',plain,
% 0.84/1.24 ( X1 = join(meet(X1,top),zero) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.75.0.0','0.16.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.2','L')]).
% 0.84/1.24 cnf('0.75.0.2',plain,
% 0.84/1.24 ( X1 = meet(X1,top) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.75.0.1','0.66.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.75.1.0',plain,
% 0.84/1.24 ( X1 = meet(X1,top) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.75.0.2']),
% 0.84/1.24 [weight('<19,74,60,[0,0,0,5]>')]).
% 0.84/1.24 cnf('0.75.2.0',plain,
% 0.84/1.24 ( meet(X1,top) = X1 ),
% 0.84/1.24 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_72]).
% 0.84/1.24 cnf('0.88.0.0',plain,
% 0.84/1.24 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.11.2.0','0.71.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.88.1.0',plain,
% 0.84/1.24 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.88.0.0']),
% 0.84/1.24 [weight('<44,71,11,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.88.2.0',plain,
% 0.84/1.24 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_85]).
% 0.84/1.24 cnf('0.89.0.0',plain,
% 0.84/1.24 ( composition(top,converse(sk1)) = converse(sk1) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.88.2.0','0.12.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.89.1.0',plain,
% 0.84/1.24 ( composition(top,converse(sk1)) = converse(sk1) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.89.0.0']),
% 0.84/1.24 [weight('<34,88,12,[1,0,0,1]>')]).
% 0.84/1.24 cnf('0.89.2.0',plain,
% 0.84/1.24 ( composition(top,converse(sk1)) = converse(sk1) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_86]).
% 0.84/1.24 cnf('0.90.0.0',plain,
% 0.84/1.24 ( composition(top,converse(sk2)) = converse(sk2) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.88.2.0','0.13.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.90.1.0',plain,
% 0.84/1.24 ( composition(top,converse(sk2)) = converse(sk2) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.90.0.0']),
% 0.84/1.24 [weight('<34,88,13,[1,0,0,1]>')]).
% 0.84/1.24 cnf('0.90.2.0',plain,
% 0.84/1.24 ( composition(top,converse(sk2)) = converse(sk2) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_87]).
% 0.84/1.24 cnf('0.91.0.0',plain,
% 0.84/1.24 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.11.2.0','0.71.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.91.1.0',plain,
% 0.84/1.24 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.91.0.0']),
% 0.84/1.24 [weight('<44,71,11,[0,0,0,3]>')]).
% 0.84/1.24 cnf('0.91.2.0',plain,
% 0.84/1.24 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_88]).
% 0.84/1.24 cnf('0.92.0.0',plain,
% 0.84/1.24 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.5.2.0','0.72.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.92.1.0',plain,
% 0.84/1.24 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.92.0.0']),
% 0.84/1.24 [weight('<53,72,5,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.92.2.0',plain,
% 0.84/1.24 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_89]).
% 0.84/1.24 cnf('0.93.0.0',plain,
% 0.84/1.24 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.92.2.0','0.60.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.93.0.1',plain,
% 0.84/1.24 ( X1 = join(meet(X1,X2),X1) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.93.0.0','0.60.2.0',theory(equality)]),
% 0.84/1.24 [pos('L','L')]).
% 0.84/1.24 cnf('0.93.1.0',plain,
% 0.84/1.24 ( X1 = join(meet(X1,X2),X1) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.93.0.1']),
% 0.84/1.24 [weight('<41,92,60,[1,0,0,2]>')]).
% 0.84/1.24 cnf('0.93.1.1',plain,
% 0.84/1.24 ( X1 = join(X1,meet(X1,X2)) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.93.1.0','0.4.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.93.2.0',plain,
% 0.84/1.24 ( join(X1,meet(X1,X2)) = X1 ),
% 0.84/1.24 inference(orient,[status(thm)],['0.93.1.1',theory(equality)]),
% 0.84/1.24 [x,rule_90]).
% 0.84/1.24 cnf('0.94.0.0',plain,
% 0.84/1.24 ( X1 = join(X1,meet(X2,X1)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.93.2.0','0.19.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.94.1.0',plain,
% 0.84/1.24 ( X1 = join(X1,meet(X2,X1)) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.94.0.0']),
% 0.84/1.24 [weight('<41,93,19,[1,0,0,2]>')]).
% 0.84/1.24 cnf('0.94.2.0',plain,
% 0.84/1.24 ( join(X1,meet(X2,X1)) = X1 ),
% 0.84/1.24 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_91]).
% 0.84/1.24 cnf('0.96.0.0',plain,
% 0.84/1.24 ( complement(converse(sk1)) = join(complement(converse(sk1)),composition(converse(top),complement(converse(sk1)))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.8.2.0','0.89.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2.2.1','L')]).
% 0.84/1.24 cnf('0.96.0.1',plain,
% 0.84/1.24 ( complement(converse(sk1)) = composition(join(one,converse(top)),complement(converse(sk1))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.96.0.0','0.56.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.96.0.2',plain,
% 0.84/1.24 ( complement(converse(sk1)) = composition(join(one,top),complement(converse(sk1))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.96.0.1','0.71.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.1.2','L')]).
% 0.84/1.24 cnf('0.96.0.3',plain,
% 0.84/1.24 ( complement(converse(sk1)) = composition(top,complement(converse(sk1))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.96.0.2','0.74.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.1','L')]).
% 0.84/1.24 cnf('0.96.1.0',plain,
% 0.84/1.24 ( complement(converse(sk1)) = composition(top,complement(converse(sk1))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.96.0.3']),
% 0.84/1.24 [weight('<53,89,8,[0,0,0,7]>')]).
% 0.84/1.24 cnf('0.96.2.0',plain,
% 0.84/1.24 ( composition(top,complement(converse(sk1))) = complement(converse(sk1)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_93]).
% 0.84/1.24 cnf('0.97.0.0',plain,
% 0.84/1.24 ( complement(converse(sk2)) = join(complement(converse(sk2)),composition(converse(top),complement(converse(sk2)))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.8.2.0','0.90.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2.2.1','L')]).
% 0.84/1.24 cnf('0.97.0.1',plain,
% 0.84/1.24 ( complement(converse(sk2)) = composition(join(one,converse(top)),complement(converse(sk2))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.97.0.0','0.56.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.97.0.2',plain,
% 0.84/1.24 ( complement(converse(sk2)) = composition(join(one,top),complement(converse(sk2))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.97.0.1','0.71.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.1.2','L')]).
% 0.84/1.24 cnf('0.97.0.3',plain,
% 0.84/1.24 ( complement(converse(sk2)) = composition(top,complement(converse(sk2))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.97.0.2','0.74.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.1','L')]).
% 0.84/1.24 cnf('0.97.1.0',plain,
% 0.84/1.24 ( complement(converse(sk2)) = composition(top,complement(converse(sk2))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.97.0.3']),
% 0.84/1.24 [weight('<53,90,8,[0,0,0,7]>')]).
% 0.84/1.24 cnf('0.97.2.0',plain,
% 0.84/1.24 ( composition(top,complement(converse(sk2))) = complement(converse(sk2)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_94]).
% 0.84/1.24 cnf('0.99.0.0',plain,
% 0.84/1.24 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 0.84/1.24 inference(interreduction_right,[status(thm)],['0.46.2.0'])).
% 0.84/1.24 cnf('0.99.0.1',plain,
% 0.84/1.24 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.99.0.0','0.71.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.99.1.0',plain,
% 0.84/1.24 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.99.0.1']),
% 0.84/1.24 [weight('<55,46,71,[0,0,0,0]>')]).
% 0.84/1.24 cnf('0.99.2.0',plain,
% 0.84/1.24 ( join(X1,converse(complement(converse(X1)))) = top ),
% 0.84/1.24 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_96]).
% 0.84/1.24 cnf('0.116.0.0',plain,
% 0.84/1.24 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.14.2.0','0.68.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1.1','L')]).
% 0.84/1.24 cnf('0.116.1.0',plain,
% 0.84/1.24 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.116.0.0']),
% 0.84/1.24 [weight('<59,68,14,[0,0,0,2]>')]).
% 0.84/1.24 cnf('0.116.2.0',plain,
% 0.84/1.24 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_112]).
% 0.84/1.24 cnf('0.117.0.0',plain,
% 0.84/1.24 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.116.2.0','0.4.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.117.1.0',plain,
% 0.84/1.24 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.117.0.0']),
% 0.84/1.24 [weight('<59,116,4,[1,0,0,1]>')]).
% 0.84/1.24 cnf('0.117.2.0',plain,
% 0.84/1.24 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_113]).
% 0.84/1.24 cnf('0.118.0.0',plain,
% 0.84/1.24 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.68.2.0','0.116.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.118.1.0',plain,
% 0.84/1.24 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.118.0.0']),
% 0.84/1.24 [weight('<59,116,68,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.118.2.0',plain,
% 0.84/1.24 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_114]).
% 0.84/1.24 cnf('0.120.0.0',plain,
% 0.84/1.24 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.118.2.0','0.19.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.120.1.0',plain,
% 0.84/1.24 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.120.0.0']),
% 0.84/1.24 [weight('<59,118,19,[1,0,0,1]>')]).
% 0.84/1.24 cnf('0.120.2.0',plain,
% 0.84/1.24 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_116]).
% 0.84/1.24 cnf('0.121.0.0',plain,
% 0.84/1.24 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.118.2.0','0.68.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1.1','L')]).
% 0.84/1.24 cnf('0.121.1.0',plain,
% 0.84/1.24 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.121.0.0']),
% 0.84/1.24 [weight('<59,118,68,[1,0,0,2]>')]).
% 0.84/1.24 cnf('0.121.2.0',plain,
% 0.84/1.24 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.121.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_117]).
% 0.84/1.24 cnf('0.173.0.0',plain,
% 0.84/1.24 ( composition(converse(complement(converse(sk1))),top) = converse(complement(converse(sk1))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.91.2.0','0.96.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.173.1.0',plain,
% 0.84/1.24 ( composition(converse(complement(converse(sk1))),top) = converse(complement(converse(sk1))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.173.0.0']),
% 0.84/1.24 [weight('<76,96,91,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.173.2.0',plain,
% 0.84/1.24 ( composition(converse(complement(converse(sk1))),top) = converse(complement(converse(sk1))) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.173.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_168]).
% 0.84/1.24 cnf('0.174.0.0',plain,
% 0.84/1.24 ( composition(converse(complement(converse(sk2))),top) = converse(complement(converse(sk2))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.91.2.0','0.97.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.174.1.0',plain,
% 0.84/1.24 ( composition(converse(complement(converse(sk2))),top) = converse(complement(converse(sk2))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.174.0.0']),
% 0.84/1.24 [weight('<76,97,91,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.174.2.0',plain,
% 0.84/1.24 ( composition(converse(complement(converse(sk2))),top) = converse(complement(converse(sk2))) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_169]).
% 0.84/1.24 cnf('0.188.0.0',plain,
% 0.84/1.24 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.5.2.0','0.94.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.188.1.0',plain,
% 0.84/1.24 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.188.0.0']),
% 0.84/1.24 [weight('<87,94,5,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.188.2.0',plain,
% 0.84/1.24 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.188.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_183]).
% 0.84/1.24 cnf('0.225.0.0',plain,
% 0.84/1.24 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 0.84/1.24 inference(interreduction_right,[status(thm)],['0.60.2.0'])).
% 0.84/1.24 cnf('0.225.0.1',plain,
% 0.84/1.24 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.225.0.0','0.117.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.225.1.0',plain,
% 0.84/1.24 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.225.0.1']),
% 0.84/1.24 [weight('<89,60,117,[0,0,0,0]>')]).
% 0.84/1.24 cnf('0.225.2.0',plain,
% 0.84/1.24 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 0.84/1.24 inference(orient,[status(thm)],['0.225.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_220]).
% 0.84/1.24 cnf('0.226.0.0',plain,
% 0.84/1.24 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.188.2.0','0.225.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.226.1.0',plain,
% 0.84/1.24 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.226.0.0']),
% 0.84/1.24 [weight('<69,225,188,[0,0,0,2]>')]).
% 0.84/1.24 cnf('0.226.2.0',plain,
% 0.84/1.24 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.226.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_221]).
% 0.84/1.24 cnf('0.229.0.0',plain,
% 0.84/1.24 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.117.2.0','0.226.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.229.0.1',plain,
% 0.84/1.24 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.229.0.0','0.118.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.229.0.2',plain,
% 0.84/1.24 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.229.0.1','0.121.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.229.0.3',plain,
% 0.84/1.24 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.229.0.2','0.117.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.229.1.0',plain,
% 0.84/1.24 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.229.0.3']),
% 0.84/1.24 [weight('<76,226,117,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.229.1.1',plain,
% 0.84/1.24 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.229.1.0','0.19.2.0',theory(equality)]),
% 0.84/1.24 [pos('L','L')]).
% 0.84/1.24 cnf('0.229.2.0',plain,
% 0.84/1.24 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.229.1.1',theory(equality)]),
% 0.84/1.24 [u,rule_224]).
% 0.84/1.24 cnf('0.230.0.0',plain,
% 0.84/1.24 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.229.2.0','0.120.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.230.0.1',plain,
% 0.84/1.24 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.230.0.0','0.68.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.230.1.0',plain,
% 0.84/1.24 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.230.0.1']),
% 0.84/1.24 [weight('<69,229,120,[1,0,0,2]>')]).
% 0.84/1.24 cnf('0.230.2.0',plain,
% 0.84/1.24 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.230.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_225]).
% 0.84/1.24 cnf('0.231.0.0',plain,
% 0.84/1.24 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.230.2.0','0.4.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.231.1.0',plain,
% 0.84/1.24 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.231.0.0']),
% 0.84/1.24 [weight('<69,230,4,[1,0,0,2]>')]).
% 0.84/1.24 cnf('0.231.2.0',plain,
% 0.84/1.24 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.231.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_226]).
% 0.84/1.24 cnf('0.232.0.0',plain,
% 0.84/1.24 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.231.2.0','0.99.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.232.0.1',plain,
% 0.84/1.24 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.232.0.0','0.75.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.232.1.0',plain,
% 0.84/1.24 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.232.0.1']),
% 0.84/1.24 [weight('<71,231,99,[1,0,0,2]>')]).
% 0.84/1.24 cnf('0.232.1.1',plain,
% 0.84/1.24 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.232.1.0','0.19.2.0',theory(equality)]),
% 0.84/1.24 [pos('L','L')]).
% 0.84/1.24 cnf('0.232.2.0',plain,
% 0.84/1.24 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.84/1.24 inference(orient,[status(thm)],['0.232.1.1',theory(equality)]),
% 0.84/1.24 [u,rule_227]).
% 0.84/1.24 cnf('0.233.0.0',plain,
% 0.84/1.24 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.118.2.0','0.232.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.233.0.1',plain,
% 0.84/1.24 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.233.0.0','0.68.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2.1.1.1.1','L')]).
% 0.84/1.24 cnf('0.233.0.2',plain,
% 0.84/1.24 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.233.0.1','0.68.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.233.1.0',plain,
% 0.84/1.24 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.233.0.2']),
% 0.84/1.24 [weight('<71,232,118,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.233.2.0',plain,
% 0.84/1.24 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.84/1.24 inference(orient,[status(thm)],['0.233.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_228]).
% 0.84/1.24 cnf('0.245.0.0',plain,
% 0.84/1.24 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.28.2.0','0.233.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.245.0.1',plain,
% 0.84/1.24 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.245.0.0','0.3.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2.1.1.1.1','L')]).
% 0.84/1.24 cnf('0.245.0.2',plain,
% 0.84/1.24 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.245.0.1','0.3.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.245.1.0',plain,
% 0.84/1.24 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.245.0.2']),
% 0.84/1.24 [weight('<71,233,28,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.245.2.0',plain,
% 0.84/1.24 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 0.84/1.24 inference(orient,[status(thm)],['0.245.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_240]).
% 0.84/1.24 cnf('0.248.0.0',plain,
% 0.84/1.24 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.117.2.0','0.245.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.248.0.1',plain,
% 0.84/1.24 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.248.0.0','0.68.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1.1.1.1.1','L')]).
% 0.84/1.24 cnf('0.248.0.2',plain,
% 0.84/1.24 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.248.0.1','0.68.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.248.1.0',plain,
% 0.84/1.24 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.248.0.2']),
% 0.84/1.24 [weight('<71,245,117,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.248.1.1',plain,
% 0.84/1.24 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.248.1.0','0.19.2.0',theory(equality)]),
% 0.84/1.24 [pos('L','L')]).
% 0.84/1.24 cnf('0.248.2.0',plain,
% 0.84/1.24 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 0.84/1.24 inference(orient,[status(thm)],['0.248.1.1',theory(equality)]),
% 0.84/1.24 [u,rule_243]).
% 0.84/1.24 cnf('0.255.0.0',plain,
% 0.84/1.24 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.230.2.0','0.68.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2.2','L')]).
% 0.84/1.24 cnf('0.255.1.0',plain,
% 0.84/1.24 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.255.0.0']),
% 0.84/1.24 [weight('<76,230,68,[1,0,0,4]>')]).
% 0.84/1.24 cnf('0.255.2.0',plain,
% 0.84/1.24 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.255.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_250]).
% 0.84/1.24 cnf('0.256.0.0',plain,
% 0.84/1.24 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.255.2.0','0.99.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.256.0.1',plain,
% 0.84/1.24 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.256.0.0','0.248.2.0',theory(equality)]),
% 0.84/1.24 [pos('L','L')]).
% 0.84/1.24 cnf('0.256.0.2',plain,
% 0.84/1.24 ( X1 = complement(converse(complement(converse(X1)))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.256.0.1','0.75.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.256.1.0',plain,
% 0.84/1.24 ( X1 = complement(converse(complement(converse(X1)))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.256.0.2']),
% 0.84/1.24 [weight('<41,255,99,[1,0,0,3]>')]).
% 0.84/1.24 cnf('0.256.2.0',plain,
% 0.84/1.24 ( complement(converse(complement(converse(X1)))) = X1 ),
% 0.84/1.24 inference(orient,[status(thm)],['0.256.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_251]).
% 0.84/1.24 cnf('0.257.0.0',plain,
% 0.84/1.24 ( converse(X1) = complement(converse(complement(X1))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.256.2.0','0.3.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1.1.1','L')]).
% 0.84/1.24 cnf('0.257.1.0',plain,
% 0.84/1.24 ( converse(X1) = complement(converse(complement(X1))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.257.0.0']),
% 0.84/1.24 [weight('<34,256,3,[1,0,0,3]>')]).
% 0.84/1.24 cnf('0.257.2.0',plain,
% 0.84/1.24 ( complement(converse(complement(X1))) = converse(X1) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.257.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_252]).
% 0.84/1.24 cnf('0.258.0.0',plain,
% 0.84/1.24 ( converse(complement(X1)) = complement(converse(X1)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.68.2.0','0.257.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.258.1.0',plain,
% 0.84/1.24 ( converse(complement(X1)) = complement(converse(X1)) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.258.0.0']),
% 0.84/1.24 [weight('<27,257,68,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.258.2.0',plain,
% 0.84/1.24 ( complement(converse(X1)) = converse(complement(X1)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.258.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_253]).
% 0.84/1.24 cnf('0.259.0.0',plain,
% 0.84/1.24 ( composition(converse(complement(converse(sk1))),top) = converse(complement(converse(sk1))) ),
% 0.84/1.24 inference(interreduction_right,[status(thm)],['0.173.2.0'])).
% 0.84/1.24 cnf('0.259.0.1',plain,
% 0.84/1.24 ( composition(converse(converse(complement(sk1))),top) = converse(complement(converse(sk1))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.259.0.0','0.258.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1.1','L')]).
% 0.84/1.24 cnf('0.259.0.2',plain,
% 0.84/1.24 ( composition(complement(sk1),top) = converse(complement(converse(sk1))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.259.0.1','0.3.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.259.0.3',plain,
% 0.84/1.24 ( composition(complement(sk1),top) = converse(converse(complement(sk1))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.259.0.2','0.258.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.1','L')]).
% 0.84/1.24 cnf('0.259.0.4',plain,
% 0.84/1.24 ( composition(complement(sk1),top) = complement(sk1) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.259.0.3','0.3.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.259.1.0',plain,
% 0.84/1.24 ( composition(complement(sk1),top) = complement(sk1) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.259.0.4']),
% 0.84/1.24 [weight('<34,173,258,[0,0,0,0]>')]).
% 0.84/1.24 cnf('0.259.2.0',plain,
% 0.84/1.24 ( composition(complement(sk1),top) = complement(sk1) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.259.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_254]).
% 0.84/1.24 cnf('0.260.0.0',plain,
% 0.84/1.24 ( composition(converse(complement(converse(sk2))),top) = converse(complement(converse(sk2))) ),
% 0.84/1.24 inference(interreduction_right,[status(thm)],['0.174.2.0'])).
% 0.84/1.24 cnf('0.260.0.1',plain,
% 0.84/1.24 ( composition(converse(converse(complement(sk2))),top) = converse(complement(converse(sk2))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.260.0.0','0.258.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1.1','L')]).
% 0.84/1.24 cnf('0.260.0.2',plain,
% 0.84/1.24 ( composition(complement(sk2),top) = converse(complement(converse(sk2))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.260.0.1','0.3.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.260.0.3',plain,
% 0.84/1.24 ( composition(complement(sk2),top) = converse(converse(complement(sk2))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.260.0.2','0.258.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.1','L')]).
% 0.84/1.24 cnf('0.260.0.4',plain,
% 0.84/1.24 ( composition(complement(sk2),top) = complement(sk2) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.260.0.3','0.3.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.260.1.0',plain,
% 0.84/1.24 ( composition(complement(sk2),top) = complement(sk2) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.260.0.4']),
% 0.84/1.24 [weight('<34,174,258,[0,0,0,0]>')]).
% 0.84/1.24 cnf('0.260.2.0',plain,
% 0.84/1.24 ( composition(complement(sk2),top) = complement(sk2) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.260.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_255]).
% 0.84/1.24 cnf('0.774.0.0',plain,
% 0.84/1.24 ( complement(converse(X1)) = join(complement(converse(X1)),composition(converse(converse(X2)),complement(converse(composition(X1,X2))))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2.2.1','L')]).
% 0.84/1.24 cnf('0.774.0.1',plain,
% 0.84/1.24 ( complement(converse(X1)) = join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.774.0.0','0.3.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.2.1','L')]).
% 0.84/1.24 cnf('0.774.1.0',plain,
% 0.84/1.24 ( complement(converse(X1)) = join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.774.0.1']),
% 0.84/1.24 [weight('<?,11,8,[0,0,0,7]>')]).
% 0.84/1.24 cnf('0.774.1.1',plain,
% 0.84/1.24 ( converse(complement(X1)) = join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.774.1.0','0.258.2.0',theory(equality)]),
% 0.84/1.24 [pos('L','L')]).
% 0.84/1.24 cnf('0.774.1.2',plain,
% 0.84/1.24 ( converse(complement(X1)) = join(converse(complement(X1)),composition(X2,complement(converse(composition(X1,X2))))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.774.1.1','0.258.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.1','L')]).
% 0.84/1.24 cnf('0.774.1.3',plain,
% 0.84/1.24 ( converse(complement(X1)) = join(converse(complement(X1)),composition(X2,converse(complement(composition(X1,X2))))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.774.1.2','0.258.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.2.2','L')]).
% 0.84/1.24 cnf('0.774.2.0',plain,
% 0.84/1.24 ( join(converse(complement(X1)),composition(X2,converse(complement(composition(X1,X2))))) = converse(complement(X1)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.774.1.3',theory(equality)]),
% 0.84/1.24 [x,rule_769]).
% 0.84/1.24 cnf('0.818.0.0',plain,
% 0.84/1.24 ( composition(join(complement(sk1),X1),top) = join(complement(sk1),composition(X1,top)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.7.2.0','0.259.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.818.1.0',plain,
% 0.84/1.24 ( composition(join(complement(sk1),X1),top) = join(complement(sk1),composition(X1,top)) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.818.0.0']),
% 0.84/1.24 [weight('<90,259,7,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.818.2.0',plain,
% 0.84/1.24 ( join(complement(sk1),composition(X1,top)) = composition(join(complement(sk1),X1),top) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.818.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_813]).
% 0.84/1.24 cnf('0.823.0.0',plain,
% 0.84/1.24 ( composition(join(complement(sk1),complement(sk2)),top) = join(complement(sk1),complement(sk2)) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.818.2.0','0.260.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.823.0.1',plain,
% 0.84/1.24 ( composition(complement(meet(sk1,sk2)),top) = join(complement(sk1),complement(sk2)) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.823.0.0','0.121.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.823.0.2',plain,
% 0.84/1.24 ( composition(complement(meet(sk1,sk2)),top) = complement(meet(sk1,sk2)) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.823.0.1','0.121.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.823.1.0',plain,
% 0.84/1.24 ( composition(complement(meet(sk1,sk2)),top) = complement(meet(sk1,sk2)) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.823.0.2']),
% 0.84/1.24 [weight('<76,818,260,[1,0,0,3]>')]).
% 0.84/1.24 cnf('0.823.1.1',plain,
% 0.84/1.24 ( composition(complement(meet(sk2,sk1)),top) = complement(meet(sk1,sk2)) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.823.1.0','0.19.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1.1','L')]).
% 0.84/1.24 cnf('0.823.1.2',plain,
% 0.84/1.24 ( composition(complement(meet(sk2,sk1)),top) = complement(meet(sk2,sk1)) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.823.1.1','0.19.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.1','L')]).
% 0.84/1.24 cnf('0.823.2.0',plain,
% 0.84/1.24 ( composition(complement(meet(sk2,sk1)),top) = complement(meet(sk2,sk1)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.823.1.2',theory(equality)]),
% 0.84/1.24 [u,rule_818]).
% 0.84/1.24 cnf('0.824.0.0',plain,
% 0.84/1.24 ( converse(complement(complement(meet(sk2,sk1)))) = join(converse(complement(complement(meet(sk2,sk1)))),composition(top,converse(complement(complement(meet(sk2,sk1)))))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.774.2.0','0.823.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2.2.1.1','L')]).
% 0.84/1.24 cnf('0.824.0.1',plain,
% 0.84/1.24 ( converse(meet(sk2,sk1)) = join(converse(complement(complement(meet(sk2,sk1)))),composition(top,converse(complement(complement(meet(sk2,sk1)))))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.824.0.0','0.68.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.824.0.2',plain,
% 0.84/1.24 ( converse(meet(sk2,sk1)) = composition(join(one,top),converse(complement(complement(meet(sk2,sk1))))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.824.0.1','0.56.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.824.0.3',plain,
% 0.84/1.24 ( converse(meet(sk2,sk1)) = composition(top,converse(complement(complement(meet(sk2,sk1))))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.824.0.2','0.74.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.1','L')]).
% 0.84/1.24 cnf('0.824.0.4',plain,
% 0.84/1.24 ( converse(meet(sk2,sk1)) = composition(top,converse(meet(sk2,sk1))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.824.0.3','0.68.2.0',theory(equality)]),
% 0.84/1.24 [pos('R.2.1','L')]).
% 0.84/1.24 cnf('0.824.1.0',plain,
% 0.84/1.24 ( converse(meet(sk2,sk1)) = composition(top,converse(meet(sk2,sk1))) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.824.0.4']),
% 0.84/1.24 [weight('<76,823,774,[0,0,0,8]>')]).
% 0.84/1.24 cnf('0.824.2.0',plain,
% 0.84/1.24 ( composition(top,converse(meet(sk2,sk1))) = converse(meet(sk2,sk1)) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.824.1.0',theory(equality)]),
% 0.84/1.24 [x,rule_819]).
% 0.84/1.24 cnf('0.826.0.0',plain,
% 0.84/1.24 ( composition(meet(sk2,sk1),converse(top)) = converse(converse(meet(sk2,sk1))) ),
% 0.84/1.24 inference(cp,[status(thm)],['0.30.2.0','0.824.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('0.826.0.1',plain,
% 0.84/1.24 ( composition(meet(sk2,sk1),top) = converse(converse(meet(sk2,sk1))) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.826.0.0','0.71.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.2','L')]).
% 0.84/1.24 cnf('0.826.0.2',plain,
% 0.84/1.24 ( composition(meet(sk2,sk1),top) = meet(sk2,sk1) ),
% 0.84/1.24 inference(reduction,[status(thm)],['0.826.0.1','0.3.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('0.826.1.0',plain,
% 0.84/1.24 ( composition(meet(sk2,sk1),top) = meet(sk2,sk1) ),
% 0.84/1.24 inference(weigh,[status(thm)],['0.826.0.2']),
% 0.84/1.24 [weight('<53,824,30,[0,0,0,1]>')]).
% 0.84/1.24 cnf('0.826.2.0',plain,
% 0.84/1.24 ( composition(meet(sk2,sk1),top) = meet(sk2,sk1) ),
% 0.84/1.24 inference(orient,[status(thm)],['0.826.1.0',theory(equality)]),
% 0.84/1.24 [u,rule_821]).
% 0.84/1.24 cnf('1.0.0.0',conjecture,
% 0.84/1.24 ( composition(meet(sk1,sk2),top) = meet(sk1,sk2) ),
% 0.84/1.24 file('/tmp/WALDMEISTER_26392_n011',conjecture_1)).
% 0.84/1.24 cnf('1.0.0.1',plain,
% 0.84/1.24 ( composition(meet(sk1,sk2),top) = meet(sk2,sk1) ),
% 0.84/1.24 inference(reduction,[status(thm)],['1.0.0.0','0.19.2.0',theory(equality)]),
% 0.84/1.24 [pos('R','L')]).
% 0.84/1.24 cnf('1.0.0.2',plain,
% 0.84/1.24 ( composition(meet(sk2,sk1),top) = meet(sk2,sk1) ),
% 0.84/1.24 inference(reduction,[status(thm)],['1.0.0.1','0.19.2.0',theory(equality)]),
% 0.84/1.24 [pos('L.1','L')]).
% 0.84/1.24 cnf('1.0.0.3',plain,
% 0.84/1.24 ( meet(sk2,sk1) = meet(sk2,sk1) ),
% 0.84/1.24 inference(reduction,[status(thm)],['1.0.0.2','0.826.2.0',theory(equality)]),
% 0.84/1.24 [pos('L','L')]).
% 0.84/1.24 cnf('1.0.0.4',plain,
% 0.84/1.24 ( $true ),
% 0.84/1.24 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.84/1.24 [conjecture_1]).
% 0.84/1.24
% 0.84/1.24 Proved Goals:
% 0.84/1.24 No. 1: composition(meet(sk1,sk2),top) ?= meet(sk1,sk2) joined, current: meet(sk2,sk1) = meet(sk2,sk1)
% 0.84/1.24 1 goal was specified, which was proved.
% 0.84/1.24 % SZS output end CNFRefutation
% 0.84/1.24 #END OF PROOF
% 0.84/1.24
% 0.84/1.24 Problem WALDMEISTER_26392_n011
% 0.84/1.24 CPs.gen 71606
% 0.84/1.24 CPs.reexp 0
% 0.84/1.24 Select 5214
% 0.84/1.24 R 821
% 0.84/1.24 E 5
% 0.84/1.24 vsize 6.8M
% 0.84/1.24 rss 4.4M
% 0.84/1.24 process.time 0.243s
% 0.84/1.24 wallclock.time 0.243s
% 0.84/1.24 status S
% 0.84/1.24
% 0.84/1.24
% 0.84/1.24 Waldmeister states: Goal proved.
% 0.84/1.24 % SZS status Unsatisfiable
%------------------------------------------------------------------------------