%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL019-2 : 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 1.39s 1.79s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL019-2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % 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 12:34:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/0.99 * |/ | \/ | *
% 0.58/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/0.99 * A. Jaeger and B. Loechner | | *
% 0.58/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 0.58/0.99
% 0.58/0.99 Goals:
% 0.58/0.99 ------
% 0.58/0.99
% 0.58/0.99 ( 1) composition(meet(sk1,sk2),top) ?=? meet(sk1,sk2)
% 0.58/0.99
% 0.58/0.99 Detected structure: Orkus
% 0.58/0.99 ********************************************************************************
% 0.58/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.58/0.99 ********************************************************************************
% 0.58/0.99
% 1.39/1.79 joined goal: 1 composition(meet(sk1,sk2),top) ?= meet(sk1,sk2) to meet(sk2,sk1)
% 1.39/1.79 goal joined
% 1.39/1.79 % SZS status Unsatisfiable
% 1.39/1.79 #START OF PROOF
% 1.39/1.79 % SZS output start CNFRefutation
% 1.39/1.79 cnf('0.1.0.0',axiom,
% 1.39/1.79 ( X1 = composition(X1,one) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.1.1.0',plain,
% 1.39/1.79 ( X1 = composition(X1,one) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.39/1.79 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.39/1.79 cnf('0.1.2.0',plain,
% 1.39/1.79 ( composition(X1,one) = X1 ),
% 1.39/1.79 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.39/1.79 [x,rule_1]).
% 1.39/1.79 cnf('0.2.0.0',axiom,
% 1.39/1.79 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.2.1.0',plain,
% 1.39/1.79 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.39/1.79 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.39/1.79 cnf('0.2.2.0',plain,
% 1.39/1.79 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 1.39/1.79 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.39/1.79 [x,rule_2]).
% 1.39/1.79 cnf('0.3.0.0',axiom,
% 1.39/1.79 ( X1 = converse(converse(X1)) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.3.1.0',plain,
% 1.39/1.79 ( X1 = converse(converse(X1)) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.39/1.79 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.39/1.79 cnf('0.3.2.0',plain,
% 1.39/1.79 ( converse(converse(X1)) = X1 ),
% 1.39/1.79 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.39/1.79 [x,rule_3]).
% 1.39/1.79 cnf('0.4.0.0',axiom,
% 1.39/1.79 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.4.1.0',plain,
% 1.39/1.79 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.39/1.79 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.39/1.79 cnf('0.4.2.0',plain,
% 1.39/1.79 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 1.39/1.79 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.39/1.79 [x,rule_4]).
% 1.39/1.79 cnf('0.5.0.0',axiom,
% 1.39/1.79 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.5.1.0',plain,
% 1.39/1.79 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.5.0.0']),
% 1.39/1.79 [weight('<4,0,0,[0,0,0,5]>')]).
% 1.39/1.79 cnf('0.5.2.0',plain,
% 1.39/1.79 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 1.39/1.79 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 1.39/1.79 [x,rule_5]).
% 1.39/1.79 cnf('0.6.0.0',axiom,
% 1.39/1.79 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.6.1.0',plain,
% 1.39/1.79 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.39/1.79 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.39/1.79 cnf('0.6.2.0',plain,
% 1.39/1.79 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 1.39/1.79 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.39/1.79 [u,rule_6]).
% 1.39/1.79 cnf('0.7.0.0',axiom,
% 1.39/1.79 ( 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)))) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.7.1.0',plain,
% 1.39/1.79 ( 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)))) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.39/1.79 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.39/1.79 cnf('0.7.2.0',plain,
% 1.39/1.79 ( 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))) ),
% 1.39/1.79 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.39/1.79 [x,rule_7]).
% 1.39/1.79 cnf('0.8.0.0',axiom,
% 1.39/1.79 ( composition(sk1,top) = sk1 ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.8.1.0',plain,
% 1.39/1.79 ( composition(sk1,top) = sk1 ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.39/1.79 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.39/1.79 cnf('0.8.2.0',plain,
% 1.39/1.79 ( composition(sk1,top) = sk1 ),
% 1.39/1.79 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.39/1.79 [u,rule_8]).
% 1.39/1.79 cnf('0.9.0.0',axiom,
% 1.39/1.79 ( composition(sk2,top) = sk2 ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.9.1.0',plain,
% 1.39/1.79 ( composition(sk2,top) = sk2 ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.9.0.0']),
% 1.39/1.79 [weight('<8,0,0,[0,0,0,9]>')]).
% 1.39/1.79 cnf('0.9.2.0',plain,
% 1.39/1.79 ( composition(sk2,top) = sk2 ),
% 1.39/1.79 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 1.39/1.79 [u,rule_9]).
% 1.39/1.79 cnf('0.10.0.0',axiom,
% 1.39/1.79 ( join(X1,X2) = join(X2,X1) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.10.1.0',plain,
% 1.39/1.79 ( join(X1,X2) = join(X2,X1) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.39/1.79 [weight('<9,0,0,[0,0,0,10]>')]).
% 1.39/1.79 cnf('0.10.2.0',plain,
% 1.39/1.79 ( join(X1,X2) = join(X2,X1) ),
% 1.39/1.79 inference(activate,[status(thm)],['0.10.1.0']),
% 1.39/1.79 [equation_1]).
% 1.39/1.79 cnf('0.11.0.0',axiom,
% 1.39/1.79 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.11.1.0',plain,
% 1.39/1.79 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.11.0.0']),
% 1.39/1.79 [weight('<10,0,0,[0,0,0,11]>')]).
% 1.39/1.79 cnf('0.11.2.0',plain,
% 1.39/1.79 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 1.39/1.79 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 1.39/1.79 [x,rule_10]).
% 1.39/1.79 cnf('0.12.0.0',axiom,
% 1.39/1.79 ( join(X1,complement(X1)) = top ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.12.1.0',plain,
% 1.39/1.79 ( join(X1,complement(X1)) = top ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.12.0.0']),
% 1.39/1.79 [weight('<11,0,0,[0,0,0,12]>')]).
% 1.39/1.79 cnf('0.12.2.0',plain,
% 1.39/1.79 ( join(X1,complement(X1)) = top ),
% 1.39/1.79 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 1.39/1.79 [u,rule_11]).
% 1.39/1.79 cnf('0.13.0.0',axiom,
% 1.39/1.79 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.13.1.0',plain,
% 1.39/1.79 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.13.0.0']),
% 1.39/1.79 [weight('<12,0,0,[0,0,0,13]>')]).
% 1.39/1.79 cnf('0.13.1.1',plain,
% 1.39/1.79 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 1.39/1.79 inference(reduction,[status(thm)],['0.13.1.0','0.10.2.0',theory(equality)]),
% 1.39/1.79 [pos('L','L')]).
% 1.39/1.79 cnf('0.13.2.0',plain,
% 1.39/1.79 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 1.39/1.79 inference(orient,[status(thm)],['0.13.1.1',theory(equality)]),
% 1.39/1.79 [u,rule_12]).
% 1.39/1.79 cnf('0.14.0.0',axiom,
% 1.39/1.79 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.14.1.0',plain,
% 1.39/1.79 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.14.0.0']),
% 1.39/1.79 [weight('<13,0,0,[0,0,0,14]>')]).
% 1.39/1.79 cnf('0.14.2.0',plain,
% 1.39/1.79 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 1.39/1.79 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 1.39/1.79 [u,rule_13]).
% 1.39/1.79 cnf('0.17.0.0',axiom,
% 1.39/1.79 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.17.1.0',plain,
% 1.39/1.79 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.17.0.0']),
% 1.39/1.79 [weight('<16,0,0,[0,0,0,17]>')]).
% 1.39/1.79 cnf('0.17.2.0',plain,
% 1.39/1.79 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 1.39/1.79 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 1.39/1.79 [x,rule_16]).
% 1.39/1.79 cnf('0.18.0.0',axiom,
% 1.39/1.79 ( meet(X1,complement(X1)) = zero ),
% 1.39/1.79 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.79 cnf('0.18.1.0',plain,
% 1.39/1.79 ( meet(X1,complement(X1)) = zero ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.18.0.0']),
% 1.39/1.79 [weight('<17,0,0,[0,0,0,18]>')]).
% 1.39/1.79 cnf('0.18.2.0',plain,
% 1.39/1.79 ( meet(X1,complement(X1)) = zero ),
% 1.39/1.79 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.39/1.79 [u,rule_17]).
% 1.39/1.79 cnf('0.19.0.0',plain,
% 1.39/1.79 ( meet(X1,complement(X1)) = complement(top) ),
% 1.39/1.79 inference(cp,[status(thm)],['0.17.2.0','0.12.2.0',theory(equality)]),
% 1.39/1.79 [pos('L.1','L')]).
% 1.39/1.79 cnf('0.19.1.0',plain,
% 1.39/1.79 ( meet(X1,complement(X1)) = complement(top) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.19.0.0']),
% 1.39/1.79 [weight('<34,17,12,[1,0,0,1]>')]).
% 1.39/1.79 cnf('0.19.1.1',plain,
% 1.39/1.79 ( zero = complement(top) ),
% 1.39/1.79 inference(reduction,[status(thm)],['0.19.1.0','0.18.2.0',theory(equality)]),
% 1.39/1.79 [pos('L','L')]).
% 1.39/1.79 cnf('0.19.2.0',plain,
% 1.39/1.79 ( complement(top) = zero ),
% 1.39/1.79 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 1.39/1.79 [x,rule_18]).
% 1.39/1.79 cnf('0.20.0.0',plain,
% 1.39/1.79 ( top = join(top,zero) ),
% 1.39/1.79 inference(cp,[status(thm)],['0.12.2.0','0.19.2.0',theory(equality)]),
% 1.39/1.79 [pos('L.2','L')]).
% 1.39/1.79 cnf('0.20.1.0',plain,
% 1.39/1.79 ( top = join(top,zero) ),
% 1.39/1.79 inference(weigh,[status(thm)],['0.20.0.0']),
% 1.39/1.79 [weight('<19,19,12,[0,0,0,2]>')]).
% 1.39/1.79 cnf('0.20.1.1',plain,
% 1.39/1.79 ( top = join(zero,top) ),
% 1.39/1.79 inference(reduction,[status(thm)],['0.20.1.0','0.10.2.0',theory(equality)]),
% 1.39/1.79 [pos('R','L')]).
% 1.39/1.79 cnf('0.20.2.0',plain,
% 1.39/1.79 ( join(zero,top) = top ),
% 1.39/1.79 inference(orient,[status(thm)],['0.20.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_19]).
% 1.39/1.80 cnf('0.22.0.0',plain,
% 1.39/1.80 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.17.2.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.22.0.1',plain,
% 1.39/1.80 ( meet(X1,X2) = meet(X2,X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.22.0.0','0.17.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.22.1.0',plain,
% 1.39/1.80 ( meet(X1,X2) = meet(X2,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.22.0.1']),
% 1.39/1.80 [weight('<48,17,10,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.22.2.0',plain,
% 1.39/1.80 ( meet(X1,X2) = meet(X2,X1) ),
% 1.39/1.80 inference(activate,[status(thm)],['0.22.1.0']),
% 1.39/1.80 [equation_2]).
% 1.39/1.80 cnf('0.25.0.0',plain,
% 1.39/1.80 ( composition(sk1,composition(top,X1)) = composition(sk1,X1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.4.2.0','0.8.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.25.1.0',plain,
% 1.39/1.80 ( composition(sk1,composition(top,X1)) = composition(sk1,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.25.0.0']),
% 1.39/1.80 [weight('<53,8,4,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.25.2.0',plain,
% 1.39/1.80 ( composition(sk1,composition(top,X1)) = composition(sk1,X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_23]).
% 1.39/1.80 cnf('0.27.0.0',plain,
% 1.39/1.80 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.17.2.0','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.27.1.0',plain,
% 1.39/1.80 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.27.0.0']),
% 1.39/1.80 [weight('<53,19,17,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.27.2.0',plain,
% 1.39/1.80 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_25]).
% 1.39/1.80 cnf('0.29.0.0',plain,
% 1.39/1.80 ( join(zero,join(top,X1)) = join(top,X1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.11.2.0','0.20.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.29.1.0',plain,
% 1.39/1.80 ( join(zero,join(top,X1)) = join(top,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.29.0.0']),
% 1.39/1.80 [weight('<53,20,11,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.29.2.0',plain,
% 1.39/1.80 ( join(zero,join(top,X1)) = join(top,X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_27]).
% 1.39/1.80 cnf('0.30.0.0',plain,
% 1.39/1.80 ( join(top,X1) = join(zero,join(X1,top)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.29.2.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.30.1.0',plain,
% 1.39/1.80 ( join(top,X1) = join(zero,join(X1,top)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.30.0.0']),
% 1.39/1.80 [weight('<53,29,10,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.30.2.0',plain,
% 1.39/1.80 ( join(zero,join(X1,top)) = join(top,X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_28]).
% 1.39/1.80 cnf('0.31.0.0',plain,
% 1.39/1.80 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.31.1.0',plain,
% 1.39/1.80 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.31.0.0']),
% 1.39/1.80 [weight('<59,6,3,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.31.2.0',plain,
% 1.39/1.80 ( converse(composition(X1,converse(X2))) = composition(X2,converse(X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_29]).
% 1.39/1.80 cnf('0.32.0.0',plain,
% 1.39/1.80 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.32.1.0',plain,
% 1.39/1.80 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.32.0.0']),
% 1.39/1.80 [weight('<59,6,3,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.32.2.0',plain,
% 1.39/1.80 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_30]).
% 1.39/1.80 cnf('0.33.0.0',plain,
% 1.39/1.80 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.32.2.0','0.1.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.33.0.1',plain,
% 1.39/1.80 ( composition(converse(one),X1) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.33.0.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.33.1.0',plain,
% 1.39/1.80 ( composition(converse(one),X1) = X1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.33.0.1']),
% 1.39/1.80 [weight('<29,32,1,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.33.2.0',plain,
% 1.39/1.80 ( composition(converse(one),X1) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_31]).
% 1.39/1.80 cnf('0.34.0.0',plain,
% 1.39/1.80 ( one = converse(one) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.33.2.0','0.1.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.34.1.0',plain,
% 1.39/1.80 ( one = converse(one) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.34.0.0']),
% 1.39/1.80 [weight('<11,33,1,[1,0,0,0]>')]).
% 1.39/1.80 cnf('0.34.2.0',plain,
% 1.39/1.80 ( converse(one) = one ),
% 1.39/1.80 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_32]).
% 1.39/1.80 cnf('0.35.0.0',plain,
% 1.39/1.80 ( composition(converse(one),X1) = X1 ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.33.2.0'])).
% 1.39/1.80 cnf('0.35.0.1',plain,
% 1.39/1.80 ( composition(one,X1) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.35.0.0','0.34.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.35.1.0',plain,
% 1.39/1.80 ( composition(one,X1) = X1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.35.0.1']),
% 1.39/1.80 [weight('<19,33,34,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.35.2.0',plain,
% 1.39/1.80 ( composition(one,X1) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_33]).
% 1.39/1.80 cnf('0.36.0.0',plain,
% 1.39/1.80 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.14.2.0','0.34.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.36.1.0',plain,
% 1.39/1.80 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.36.0.0']),
% 1.39/1.80 [weight('<44,34,14,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.36.2.0',plain,
% 1.39/1.80 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_34]).
% 1.39/1.80 cnf('0.37.0.0',plain,
% 1.39/1.80 ( converse(join(X1,one)) = join(converse(X1),one) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.14.2.0','0.34.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.37.1.0',plain,
% 1.39/1.80 ( converse(join(X1,one)) = join(converse(X1),one) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.37.0.0']),
% 1.39/1.80 [weight('<44,34,14,[0,0,0,3]>')]).
% 1.39/1.80 cnf('0.37.1.1',plain,
% 1.39/1.80 ( converse(join(X1,one)) = join(one,converse(X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.37.1.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.37.2.0',plain,
% 1.39/1.80 ( converse(join(X1,one)) = join(one,converse(X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.37.1.1',theory(equality)]),
% 1.39/1.80 [u,rule_35]).
% 1.39/1.80 cnf('0.38.0.0',plain,
% 1.39/1.80 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.13.2.0','0.35.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.1','L')]).
% 1.39/1.80 cnf('0.38.0.1',plain,
% 1.39/1.80 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.38.0.0','0.34.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1','L')]).
% 1.39/1.80 cnf('0.38.0.2',plain,
% 1.39/1.80 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.38.0.1','0.35.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.38.1.0',plain,
% 1.39/1.80 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.38.0.2']),
% 1.39/1.80 [weight('<47,35,13,[0,0,0,7]>')]).
% 1.39/1.80 cnf('0.38.2.0',plain,
% 1.39/1.80 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_36]).
% 1.39/1.80 cnf('0.39.0.0',plain,
% 1.39/1.80 ( complement(top) = join(zero,complement(top)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.38.2.0','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.39.0.1',plain,
% 1.39/1.80 ( zero = join(zero,complement(top)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.39.0.0','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.39.0.2',plain,
% 1.39/1.80 ( zero = join(zero,zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.39.0.1','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.39.1.0',plain,
% 1.39/1.80 ( zero = join(zero,zero) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.39.0.2']),
% 1.39/1.80 [weight('<19,38,19,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.39.2.0',plain,
% 1.39/1.80 ( join(zero,zero) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_37]).
% 1.39/1.80 cnf('0.42.0.0',plain,
% 1.39/1.80 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.17.2.0','0.38.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.42.1.0',plain,
% 1.39/1.80 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.42.0.0']),
% 1.39/1.80 [weight('<48,38,17,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.42.2.0',plain,
% 1.39/1.80 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.39/1.80 inference(activate,[status(thm)],['0.42.1.0']),
% 1.39/1.80 [equation_3]).
% 1.39/1.80 cnf('0.43.0.0',plain,
% 1.39/1.80 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.11.2.0','0.39.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.43.1.0',plain,
% 1.39/1.80 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.43.0.0']),
% 1.39/1.80 [weight('<53,39,11,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.43.2.0',plain,
% 1.39/1.80 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_40]).
% 1.39/1.80 cnf('0.44.0.0',plain,
% 1.39/1.80 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.43.2.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.44.1.0',plain,
% 1.39/1.80 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.44.0.0']),
% 1.39/1.80 [weight('<53,43,10,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.44.2.0',plain,
% 1.39/1.80 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_41]).
% 1.39/1.80 cnf('0.47.0.0',plain,
% 1.39/1.80 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.14.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.47.1.0',plain,
% 1.39/1.80 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.47.0.0']),
% 1.39/1.80 [weight('<59,14,3,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.47.2.0',plain,
% 1.39/1.80 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_44]).
% 1.39/1.80 cnf('0.48.0.0',plain,
% 1.39/1.80 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.14.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.48.1.0',plain,
% 1.39/1.80 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.48.0.0']),
% 1.39/1.80 [weight('<59,14,3,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.48.2.0',plain,
% 1.39/1.80 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_45]).
% 1.39/1.80 cnf('0.49.0.0',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.47.2.0','0.12.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.49.1.0',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.49.0.0']),
% 1.39/1.80 [weight('<62,47,12,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.49.2.0',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_46]).
% 1.39/1.80 cnf('0.52.0.0',plain,
% 1.39/1.80 ( composition(join(sk1,X1),top) = join(sk1,composition(X1,top)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.52.1.0',plain,
% 1.39/1.80 ( composition(join(sk1,X1),top) = join(sk1,composition(X1,top)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.52.0.0']),
% 1.39/1.80 [weight('<65,8,5,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.52.2.0',plain,
% 1.39/1.80 ( composition(join(sk1,X1),top) = join(sk1,composition(X1,top)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_49]).
% 1.39/1.80 cnf('0.53.0.0',plain,
% 1.39/1.80 ( composition(join(X1,sk1),top) = join(composition(X1,top),sk1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.53.1.0',plain,
% 1.39/1.80 ( composition(join(X1,sk1),top) = join(composition(X1,top),sk1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.53.0.0']),
% 1.39/1.80 [weight('<65,8,5,[0,0,0,4]>')]).
% 1.39/1.80 cnf('0.53.1.1',plain,
% 1.39/1.80 ( composition(join(X1,sk1),top) = join(sk1,composition(X1,top)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.53.1.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.53.2.0',plain,
% 1.39/1.80 ( composition(join(X1,sk1),top) = join(sk1,composition(X1,top)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.53.1.1',theory(equality)]),
% 1.39/1.80 [u,rule_50]).
% 1.39/1.80 cnf('0.54.0.0',plain,
% 1.39/1.80 ( composition(join(sk2,X1),top) = join(sk2,composition(X1,top)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.5.2.0','0.9.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.54.1.0',plain,
% 1.39/1.80 ( composition(join(sk2,X1),top) = join(sk2,composition(X1,top)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.54.0.0']),
% 1.39/1.80 [weight('<65,9,5,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.54.2.0',plain,
% 1.39/1.80 ( composition(join(sk2,X1),top) = join(sk2,composition(X1,top)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_51]).
% 1.39/1.80 cnf('0.56.0.0',plain,
% 1.39/1.80 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.11.2.0','0.12.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.56.1.0',plain,
% 1.39/1.80 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.56.0.0']),
% 1.39/1.80 [weight('<69,12,11,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.56.2.0',plain,
% 1.39/1.80 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_53]).
% 1.39/1.80 cnf('0.57.0.0',plain,
% 1.39/1.80 ( join(top,complement(X1)) = join(X1,complement(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.56.2.0','0.38.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.57.0.1',plain,
% 1.39/1.80 ( join(top,complement(X1)) = top ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.57.0.0','0.12.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.57.1.0',plain,
% 1.39/1.80 ( join(top,complement(X1)) = top ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.57.0.1']),
% 1.39/1.80 [weight('<29,56,38,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.57.2.0',plain,
% 1.39/1.80 ( join(top,complement(X1)) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_54]).
% 1.39/1.80 cnf('0.60.0.0',plain,
% 1.39/1.80 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.56.2.0','0.12.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.60.1.0',plain,
% 1.39/1.80 ( join(top,complement(complement(X1))) = join(X1,top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.60.0.0']),
% 1.39/1.80 [weight('<53,56,12,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.60.1.1',plain,
% 1.39/1.80 ( top = join(X1,top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.60.1.0','0.57.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.60.2.0',plain,
% 1.39/1.80 ( join(X1,top) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.60.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_57]).
% 1.39/1.80 cnf('0.61.0.0',axiom,
% 1.39/1.80 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 1.39/1.80 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.80 cnf('0.61.1.0',plain,
% 1.39/1.80 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.61.0.0']),
% 1.39/1.80 [weight('<0,0,0,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.61.1.1',plain,
% 1.39/1.80 ( X1 = join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.61.1.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.61.1.2',plain,
% 1.39/1.80 ( X1 = join(complement(join(complement(X1),X2)),meet(X1,X2)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.61.1.1','0.17.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.61.1.3',plain,
% 1.39/1.80 ( X1 = join(meet(X1,X2),complement(join(complement(X1),X2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.61.1.2','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.61.2.0',plain,
% 1.39/1.80 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.61.1.3',theory(equality)]),
% 1.39/1.80 [x,rule_58]).
% 1.39/1.80 cnf('0.62.0.0',plain,
% 1.39/1.80 ( join(zero,join(X1,top)) = join(top,X1) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.30.2.0'])).
% 1.39/1.80 cnf('0.62.0.1',plain,
% 1.39/1.80 ( join(zero,top) = join(top,X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.62.0.0','0.60.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.62.0.2',plain,
% 1.39/1.80 ( top = join(top,X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.62.0.1','0.60.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.62.1.0',plain,
% 1.39/1.80 ( top = join(top,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.62.0.2']),
% 1.39/1.80 [weight('<19,30,60,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.62.2.0',plain,
% 1.39/1.80 ( join(top,X1) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_59]).
% 1.39/1.80 cnf('0.63.0.0',plain,
% 1.39/1.80 ( top = converse(top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.62.2.0','0.49.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.63.1.0',plain,
% 1.39/1.80 ( top = converse(top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.63.0.0']),
% 1.39/1.80 [weight('<11,62,49,[1,0,0,0]>')]).
% 1.39/1.80 cnf('0.63.2.0',plain,
% 1.39/1.80 ( converse(top) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_60]).
% 1.39/1.80 cnf('0.65.0.0',plain,
% 1.39/1.80 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.61.2.0','0.18.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.65.0.1',plain,
% 1.39/1.80 ( X1 = join(zero,meet(X1,X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.65.0.0','0.17.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.65.1.0',plain,
% 1.39/1.80 ( X1 = join(zero,meet(X1,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.65.0.1']),
% 1.39/1.80 [weight('<41,61,18,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.65.2.0',plain,
% 1.39/1.80 ( join(zero,meet(X1,X1)) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_62]).
% 1.39/1.80 cnf('0.66.0.0',plain,
% 1.39/1.80 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.43.2.0','0.65.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.66.0.1',plain,
% 1.39/1.80 ( X1 = join(zero,X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.66.0.0','0.65.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.66.1.0',plain,
% 1.39/1.80 ( X1 = join(zero,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.66.0.1']),
% 1.39/1.80 [weight('<19,65,43,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.66.2.0',plain,
% 1.39/1.80 ( join(zero,X1) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_63]).
% 1.39/1.80 cnf('0.67.0.0',plain,
% 1.39/1.80 ( complement(zero) = top ),
% 1.39/1.80 inference(cp,[status(thm)],['0.66.2.0','0.12.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.67.1.0',plain,
% 1.39/1.80 ( complement(zero) = top ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.67.0.0']),
% 1.39/1.80 [weight('<11,66,12,[1,0,0,0]>')]).
% 1.39/1.80 cnf('0.67.2.0',plain,
% 1.39/1.80 ( complement(zero) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_64]).
% 1.39/1.80 cnf('0.69.0.0',plain,
% 1.39/1.80 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.44.2.0'])).
% 1.39/1.80 cnf('0.69.0.1',plain,
% 1.39/1.80 ( join(X1,zero) = join(zero,X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.69.0.0','0.66.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.69.0.2',plain,
% 1.39/1.80 ( join(X1,zero) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.69.0.1','0.66.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.69.1.0',plain,
% 1.39/1.80 ( join(X1,zero) = X1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.69.0.2']),
% 1.39/1.80 [weight('<19,44,66,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.69.2.0',plain,
% 1.39/1.80 ( join(X1,zero) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_66]).
% 1.39/1.80 cnf('0.70.0.0',plain,
% 1.39/1.80 ( join(zero,meet(X1,X1)) = X1 ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.65.2.0'])).
% 1.39/1.80 cnf('0.70.0.1',plain,
% 1.39/1.80 ( meet(X1,X1) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.70.0.0','0.66.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.70.1.0',plain,
% 1.39/1.80 ( meet(X1,X1) = X1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.70.0.1']),
% 1.39/1.80 [weight('<19,65,66,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.70.2.0',plain,
% 1.39/1.80 ( meet(X1,X1) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_67]).
% 1.39/1.80 cnf('0.71.0.0',plain,
% 1.39/1.80 ( meet(X1,X1) = complement(complement(X1)) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.42.2.0'])).
% 1.39/1.80 cnf('0.71.0.1',plain,
% 1.39/1.80 ( X1 = complement(complement(X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.71.0.0','0.70.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.71.1.0',plain,
% 1.39/1.80 ( X1 = complement(complement(X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.71.0.1']),
% 1.39/1.80 [weight('<19,42,70,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.71.2.0',plain,
% 1.39/1.80 ( complement(complement(X1)) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.71.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_68]).
% 1.39/1.80 cnf('0.72.0.0',plain,
% 1.39/1.80 ( meet(zero,X1) = complement(join(top,complement(X1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.17.2.0','0.67.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.72.0.1',plain,
% 1.39/1.80 ( meet(zero,X1) = complement(top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.72.0.0','0.62.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.72.0.2',plain,
% 1.39/1.80 ( meet(zero,X1) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.72.0.1','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.72.1.0',plain,
% 1.39/1.80 ( meet(zero,X1) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.72.0.2']),
% 1.39/1.80 [weight('<19,67,17,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.72.2.0',plain,
% 1.39/1.80 ( meet(zero,X1) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_69]).
% 1.39/1.80 cnf('0.73.0.0',plain,
% 1.39/1.80 ( meet(X1,zero) = complement(join(complement(X1),top)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.17.2.0','0.67.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.2','L')]).
% 1.39/1.80 cnf('0.73.0.1',plain,
% 1.39/1.80 ( meet(X1,zero) = complement(top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.73.0.0','0.60.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.73.0.2',plain,
% 1.39/1.80 ( meet(X1,zero) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.73.0.1','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.73.1.0',plain,
% 1.39/1.80 ( meet(X1,zero) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.73.0.2']),
% 1.39/1.80 [weight('<19,67,17,[0,0,0,4]>')]).
% 1.39/1.80 cnf('0.73.2.0',plain,
% 1.39/1.80 ( meet(X1,zero) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.73.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_70]).
% 1.39/1.80 cnf('0.74.0.0',plain,
% 1.39/1.80 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.38.2.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.74.0.1',plain,
% 1.39/1.80 ( X1 = join(X1,complement(complement(X1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.74.0.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.74.0.2',plain,
% 1.39/1.80 ( X1 = join(X1,X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.74.0.1','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.74.1.0',plain,
% 1.39/1.80 ( X1 = join(X1,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.74.0.2']),
% 1.39/1.80 [weight('<19,71,38,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.74.2.0',plain,
% 1.39/1.80 ( join(X1,X1) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_71]).
% 1.39/1.80 cnf('0.75.0.0',plain,
% 1.39/1.80 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.27.2.0'])).
% 1.39/1.80 cnf('0.75.0.1',plain,
% 1.39/1.80 ( complement(complement(X1)) = meet(top,X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.75.0.0','0.66.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.75.1.0',plain,
% 1.39/1.80 ( complement(complement(X1)) = meet(top,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.75.0.1']),
% 1.39/1.80 [weight('<27,27,66,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.75.1.1',plain,
% 1.39/1.80 ( X1 = meet(top,X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.75.1.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.75.2.0',plain,
% 1.39/1.80 ( meet(top,X1) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.75.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_72]).
% 1.39/1.80 cnf('0.76.0.0',plain,
% 1.39/1.80 ( X1 = meet(X1,top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.75.2.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.76.1.0',plain,
% 1.39/1.80 ( X1 = meet(X1,top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.76.0.0']),
% 1.39/1.80 [weight('<19,75,22,[1,0,0,0]>')]).
% 1.39/1.80 cnf('0.76.2.0',plain,
% 1.39/1.80 ( meet(X1,top) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_73]).
% 1.39/1.80 cnf('0.78.0.0',plain,
% 1.39/1.80 ( join(converse(zero),X1) = converse(converse(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.48.2.0','0.66.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.78.0.1',plain,
% 1.39/1.80 ( join(converse(zero),X1) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.78.0.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.78.1.0',plain,
% 1.39/1.80 ( join(converse(zero),X1) = X1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.78.0.1']),
% 1.39/1.80 [weight('<29,66,48,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.78.2.0',plain,
% 1.39/1.80 ( join(converse(zero),X1) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_75]).
% 1.39/1.80 cnf('0.79.0.0',plain,
% 1.39/1.80 ( zero = converse(zero) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.78.2.0','0.69.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.79.1.0',plain,
% 1.39/1.80 ( zero = converse(zero) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.79.0.0']),
% 1.39/1.80 [weight('<11,78,69,[1,0,0,0]>')]).
% 1.39/1.80 cnf('0.79.2.0',plain,
% 1.39/1.80 ( converse(zero) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.79.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_76]).
% 1.39/1.80 cnf('0.80.0.0',plain,
% 1.39/1.80 ( join(sk1,composition(zero,top)) = composition(sk1,top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.53.2.0','0.66.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.80.0.1',plain,
% 1.39/1.80 ( join(sk1,composition(zero,top)) = sk1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.80.0.0','0.8.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.80.1.0',plain,
% 1.39/1.80 ( join(sk1,composition(zero,top)) = sk1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.80.0.1']),
% 1.39/1.80 [weight('<41,66,53,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.80.2.0',plain,
% 1.39/1.80 ( join(sk1,composition(zero,top)) = sk1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_77]).
% 1.39/1.80 cnf('0.82.0.0',plain,
% 1.39/1.80 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.6.2.0','0.63.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.82.1.0',plain,
% 1.39/1.80 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.82.0.0']),
% 1.39/1.80 [weight('<44,63,6,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.82.2.0',plain,
% 1.39/1.80 ( converse(composition(X1,top)) = composition(top,converse(X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.82.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_79]).
% 1.39/1.80 cnf('0.83.0.0',plain,
% 1.39/1.80 ( composition(top,converse(sk1)) = converse(sk1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.82.2.0','0.8.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.83.1.0',plain,
% 1.39/1.80 ( composition(top,converse(sk1)) = converse(sk1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.83.0.0']),
% 1.39/1.80 [weight('<34,82,8,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.83.2.0',plain,
% 1.39/1.80 ( composition(top,converse(sk1)) = converse(sk1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_80]).
% 1.39/1.80 cnf('0.84.0.0',plain,
% 1.39/1.80 ( composition(top,converse(sk2)) = converse(sk2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.82.2.0','0.9.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.84.1.0',plain,
% 1.39/1.80 ( composition(top,converse(sk2)) = converse(sk2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.84.0.0']),
% 1.39/1.80 [weight('<34,82,9,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.84.2.0',plain,
% 1.39/1.80 ( composition(top,converse(sk2)) = converse(sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.84.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_81]).
% 1.39/1.80 cnf('0.85.0.0',plain,
% 1.39/1.80 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.6.2.0','0.63.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.85.1.0',plain,
% 1.39/1.80 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.85.0.0']),
% 1.39/1.80 [weight('<44,63,6,[0,0,0,3]>')]).
% 1.39/1.80 cnf('0.85.2.0',plain,
% 1.39/1.80 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.85.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_82]).
% 1.39/1.80 cnf('0.86.0.0',plain,
% 1.39/1.80 ( converse(composition(X1,zero)) = composition(zero,converse(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.6.2.0','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.86.1.0',plain,
% 1.39/1.80 ( converse(composition(X1,zero)) = composition(zero,converse(X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.86.0.0']),
% 1.39/1.80 [weight('<44,79,6,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.86.2.0',plain,
% 1.39/1.80 ( converse(composition(X1,zero)) = composition(zero,converse(X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_83]).
% 1.39/1.80 cnf('0.87.0.0',plain,
% 1.39/1.80 ( converse(composition(zero,X1)) = composition(converse(X1),zero) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.6.2.0','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.87.1.0',plain,
% 1.39/1.80 ( converse(composition(zero,X1)) = composition(converse(X1),zero) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.87.0.0']),
% 1.39/1.80 [weight('<44,79,6,[0,0,0,3]>')]).
% 1.39/1.80 cnf('0.87.2.0',plain,
% 1.39/1.80 ( converse(composition(zero,X1)) = composition(converse(X1),zero) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_84]).
% 1.39/1.80 cnf('0.88.0.0',plain,
% 1.39/1.80 ( join(sk1,composition(top,top)) = composition(top,top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.52.2.0','0.60.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.88.1.0',plain,
% 1.39/1.80 ( join(sk1,composition(top,top)) = composition(top,top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.88.0.0']),
% 1.39/1.80 [weight('<53,60,52,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.88.2.0',plain,
% 1.39/1.80 ( join(sk1,composition(top,top)) = composition(top,top) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_85]).
% 1.39/1.80 cnf('0.90.0.0',plain,
% 1.39/1.80 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.11.2.0','0.74.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.90.1.0',plain,
% 1.39/1.80 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.90.0.0']),
% 1.39/1.80 [weight('<53,74,11,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.90.2.0',plain,
% 1.39/1.80 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_87]).
% 1.39/1.80 cnf('0.91.0.0',plain,
% 1.39/1.80 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.90.2.0','0.61.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.91.0.1',plain,
% 1.39/1.80 ( X1 = join(meet(X1,X2),X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.91.0.0','0.61.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.91.1.0',plain,
% 1.39/1.80 ( X1 = join(meet(X1,X2),X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.91.0.1']),
% 1.39/1.80 [weight('<41,90,61,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.91.1.1',plain,
% 1.39/1.80 ( X1 = join(X1,meet(X1,X2)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.91.1.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.91.2.0',plain,
% 1.39/1.80 ( join(X1,meet(X1,X2)) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.91.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_88]).
% 1.39/1.80 cnf('0.92.0.0',plain,
% 1.39/1.80 ( X1 = join(X1,meet(X2,X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.91.2.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.92.1.0',plain,
% 1.39/1.80 ( X1 = join(X1,meet(X2,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.92.0.0']),
% 1.39/1.80 [weight('<41,91,22,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.92.2.0',plain,
% 1.39/1.80 ( join(X1,meet(X2,X1)) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.92.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_89]).
% 1.39/1.80 cnf('0.93.0.0',plain,
% 1.39/1.80 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.90.2.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.93.1.0',plain,
% 1.39/1.80 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.93.0.0']),
% 1.39/1.80 [weight('<53,90,10,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.93.2.0',plain,
% 1.39/1.80 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_90]).
% 1.39/1.80 cnf('0.94.0.0',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.49.2.0'])).
% 1.39/1.80 cnf('0.94.0.1',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(X1)))) = top ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.94.0.0','0.63.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.94.1.0',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(X1)))) = top ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.94.0.1']),
% 1.39/1.80 [weight('<55,49,63,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.94.2.0',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(X1)))) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.94.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_91]).
% 1.39/1.80 cnf('0.95.0.0',plain,
% 1.39/1.80 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.56.2.0'])).
% 1.39/1.80 cnf('0.95.0.1',plain,
% 1.39/1.80 ( join(X1,join(complement(X1),X2)) = top ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.95.0.0','0.62.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.95.1.0',plain,
% 1.39/1.80 ( join(X1,join(complement(X1),X2)) = top ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.95.0.1']),
% 1.39/1.80 [weight('<55,56,62,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.95.2.0',plain,
% 1.39/1.80 ( join(X1,join(complement(X1),X2)) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_92]).
% 1.39/1.80 cnf('0.96.0.0',plain,
% 1.39/1.80 ( X1 = join(meet(X1,join(complement(complement(X1)),X2)),complement(top)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.61.2.0','0.95.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.96.0.1',plain,
% 1.39/1.80 ( X1 = join(meet(X1,join(X1,X2)),complement(top)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.96.0.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1.2.1','L')]).
% 1.39/1.80 cnf('0.96.0.2',plain,
% 1.39/1.80 ( X1 = join(meet(X1,join(X1,X2)),zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.96.0.1','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.96.0.3',plain,
% 1.39/1.80 ( X1 = meet(X1,join(X1,X2)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.96.0.2','0.69.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.96.1.0',plain,
% 1.39/1.80 ( X1 = meet(X1,join(X1,X2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.96.0.3']),
% 1.39/1.80 [weight('<41,95,61,[0,0,0,5]>')]).
% 1.39/1.80 cnf('0.96.2.0',plain,
% 1.39/1.80 ( meet(X1,join(X1,X2)) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_93]).
% 1.39/1.80 cnf('0.97.0.0',plain,
% 1.39/1.80 ( X1 = meet(X1,join(X2,X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.96.2.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.97.1.0',plain,
% 1.39/1.80 ( X1 = meet(X1,join(X2,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.97.0.0']),
% 1.39/1.80 [weight('<41,96,10,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.97.2.0',plain,
% 1.39/1.80 ( meet(X1,join(X2,X1)) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.97.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_94]).
% 1.39/1.80 cnf('0.98.0.0',plain,
% 1.39/1.80 ( sk1 = meet(sk1,composition(top,top)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.96.2.0','0.88.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.98.1.0',plain,
% 1.39/1.80 ( sk1 = meet(sk1,composition(top,top)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.98.0.0']),
% 1.39/1.80 [weight('<41,96,88,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.98.2.0',plain,
% 1.39/1.80 ( meet(sk1,composition(top,top)) = sk1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_95]).
% 1.39/1.80 cnf('0.108.0.0',plain,
% 1.39/1.80 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.93.2.0','0.95.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.108.0.1',plain,
% 1.39/1.80 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.108.0.0','0.11.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.108.0.2',plain,
% 1.39/1.80 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,top)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.108.0.1','0.11.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.108.0.3',plain,
% 1.39/1.80 ( join(complement(X1),join(X2,X1)) = join(complement(X1),top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.108.0.2','0.60.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.108.0.4',plain,
% 1.39/1.80 ( join(complement(X1),join(X2,X1)) = top ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.108.0.3','0.60.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.108.1.0',plain,
% 1.39/1.80 ( join(complement(X1),join(X2,X1)) = top ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.108.0.4']),
% 1.39/1.80 [weight('<55,95,93,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.108.2.0',plain,
% 1.39/1.80 ( join(complement(X1),join(X2,X1)) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_105]).
% 1.39/1.80 cnf('0.115.0.0',plain,
% 1.39/1.80 ( top = join(complement(meet(X1,X2)),X2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.108.2.0','0.92.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.115.1.0',plain,
% 1.39/1.80 ( top = join(complement(meet(X1,X2)),X2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.115.0.0']),
% 1.39/1.80 [weight('<55,108,92,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.115.1.1',plain,
% 1.39/1.80 ( top = join(X2,complement(meet(X1,X2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.115.1.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.115.2.0',plain,
% 1.39/1.80 ( join(X1,complement(meet(X2,X1))) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.115.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_112]).
% 1.39/1.80 cnf('0.117.0.0',plain,
% 1.39/1.80 ( meet(X1,meet(X2,complement(X1))) = complement(top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.17.2.0','0.115.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.117.0.1',plain,
% 1.39/1.80 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.117.0.0','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.117.1.0',plain,
% 1.39/1.80 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.117.0.1']),
% 1.39/1.80 [weight('<55,115,17,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.117.2.0',plain,
% 1.39/1.80 ( meet(X1,meet(X2,complement(X1))) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_114]).
% 1.39/1.80 cnf('0.119.0.0',plain,
% 1.39/1.80 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.117.2.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2','L')]).
% 1.39/1.80 cnf('0.119.1.0',plain,
% 1.39/1.80 ( zero = meet(complement(X1),meet(X2,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.119.0.0']),
% 1.39/1.80 [weight('<55,117,71,[1,0,0,4]>')]).
% 1.39/1.80 cnf('0.119.2.0',plain,
% 1.39/1.80 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_116]).
% 1.39/1.80 cnf('0.123.0.0',plain,
% 1.39/1.80 ( zero = meet(complement(join(X1,X2)),X2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.119.2.0','0.97.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.123.1.0',plain,
% 1.39/1.80 ( zero = meet(complement(join(X1,X2)),X2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.123.0.0']),
% 1.39/1.80 [weight('<55,119,97,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.123.1.1',plain,
% 1.39/1.80 ( zero = meet(X2,complement(join(X1,X2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.123.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.123.2.0',plain,
% 1.39/1.80 ( meet(X1,complement(join(X2,X1))) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.123.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_120]).
% 1.39/1.80 cnf('0.126.0.0',plain,
% 1.39/1.80 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.17.2.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.126.1.0',plain,
% 1.39/1.80 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.126.0.0']),
% 1.39/1.80 [weight('<59,71,17,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.126.2.0',plain,
% 1.39/1.80 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.126.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_123]).
% 1.39/1.80 cnf('0.127.0.0',plain,
% 1.39/1.80 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.126.2.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.127.1.0',plain,
% 1.39/1.80 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.127.0.0']),
% 1.39/1.80 [weight('<59,126,10,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.127.2.0',plain,
% 1.39/1.80 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.127.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_124]).
% 1.39/1.80 cnf('0.128.0.0',plain,
% 1.39/1.80 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.71.2.0','0.126.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.128.1.0',plain,
% 1.39/1.80 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.128.0.0']),
% 1.39/1.80 [weight('<59,126,71,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.128.2.0',plain,
% 1.39/1.80 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.128.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_125]).
% 1.39/1.80 cnf('0.129.0.0',plain,
% 1.39/1.80 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.126.2.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.2','L')]).
% 1.39/1.80 cnf('0.129.1.0',plain,
% 1.39/1.80 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.129.0.0']),
% 1.39/1.80 [weight('<59,126,71,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.129.2.0',plain,
% 1.39/1.80 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.129.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_126]).
% 1.39/1.80 cnf('0.130.0.0',plain,
% 1.39/1.80 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.128.2.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.130.1.0',plain,
% 1.39/1.80 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.130.0.0']),
% 1.39/1.80 [weight('<59,128,22,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.130.2.0',plain,
% 1.39/1.80 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_127]).
% 1.39/1.80 cnf('0.131.0.0',plain,
% 1.39/1.80 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.128.2.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.131.1.0',plain,
% 1.39/1.80 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.131.0.0']),
% 1.39/1.80 [weight('<59,128,71,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.131.2.0',plain,
% 1.39/1.80 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_128]).
% 1.39/1.80 cnf('0.133.0.0',plain,
% 1.39/1.80 ( join(sk2,composition(complement(sk2),top)) = composition(top,top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.54.2.0','0.12.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.133.1.0',plain,
% 1.39/1.80 ( join(sk2,composition(complement(sk2),top)) = composition(top,top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.133.0.0']),
% 1.39/1.80 [weight('<69,54,12,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.133.2.0',plain,
% 1.39/1.80 ( join(sk2,composition(complement(sk2),top)) = composition(top,top) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_130]).
% 1.39/1.80 cnf('0.163.0.0',axiom,
% 1.39/1.80 ( 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) ),
% 1.39/1.80 file('/tmp/WALDMEISTER_8322_n011')).
% 1.39/1.80 cnf('0.163.1.0',plain,
% 1.39/1.80 ( 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) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.163.0.0']),
% 1.39/1.80 [weight('<0,0,0,[0,0,0,16]>')]).
% 1.39/1.80 cnf('0.163.1.1',plain,
% 1.39/1.80 ( 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) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.163.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.163.1.2',plain,
% 1.39/1.80 ( 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)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.163.1.1','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.163.2.0',plain,
% 1.39/1.80 ( 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)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.163.1.2',theory(equality)]),
% 1.39/1.80 [u,rule_160]).
% 1.39/1.80 cnf('0.164.0.0',plain,
% 1.39/1.80 ( meet(top,composition(meet(X1,composition(top,converse(sk1))),sk1)) = join(meet(composition(X1,sk1),top),meet(top,composition(meet(X1,converse(sk1)),sk1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.163.2.0','0.83.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.1.2','L')]).
% 1.39/1.80 cnf('0.164.0.1',plain,
% 1.39/1.80 ( composition(meet(X1,composition(top,converse(sk1))),sk1) = join(meet(composition(X1,sk1),top),meet(top,composition(meet(X1,converse(sk1)),sk1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.164.0.0','0.75.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.164.0.2',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk1)),sk1) = join(meet(composition(X1,sk1),top),meet(top,composition(meet(X1,converse(sk1)),sk1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.164.0.1','0.83.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.2','L')]).
% 1.39/1.80 cnf('0.164.0.3',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk1)),sk1) = join(composition(X1,sk1),meet(top,composition(meet(X1,converse(sk1)),sk1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.164.0.2','0.76.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.164.0.4',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk1)),sk1) = join(composition(X1,sk1),composition(meet(X1,converse(sk1)),sk1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.164.0.3','0.75.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.164.0.5',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk1)),sk1) = composition(join(X1,meet(X1,converse(sk1))),sk1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.164.0.4','0.5.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.164.0.6',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk1)),sk1) = composition(X1,sk1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.164.0.5','0.91.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.164.1.0',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk1)),sk1) = composition(X1,sk1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.164.0.6']),
% 1.39/1.80 [weight('<69,163,83,[1,0,0,11]>')]).
% 1.39/1.80 cnf('0.164.2.0',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk1)),sk1) = composition(X1,sk1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_161]).
% 1.39/1.80 cnf('0.165.0.0',plain,
% 1.39/1.80 ( composition(top,sk1) = composition(converse(sk1),sk1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.164.2.0','0.75.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.165.1.0',plain,
% 1.39/1.80 ( composition(top,sk1) = composition(converse(sk1),sk1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.165.0.0']),
% 1.39/1.80 [weight('<39,164,75,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.165.2.0',plain,
% 1.39/1.80 ( composition(converse(sk1),sk1) = composition(top,sk1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_162]).
% 1.39/1.80 cnf('0.166.0.0',plain,
% 1.39/1.80 ( composition(converse(sk1),sk1) = converse(composition(top,sk1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.32.2.0','0.165.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.166.0.1',plain,
% 1.39/1.80 ( composition(top,sk1) = converse(composition(top,sk1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.166.0.0','0.165.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.166.0.2',plain,
% 1.39/1.80 ( composition(top,sk1) = composition(converse(sk1),top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.166.0.1','0.85.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.166.1.0',plain,
% 1.39/1.80 ( composition(top,sk1) = composition(converse(sk1),top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.166.0.2']),
% 1.39/1.80 [weight('<39,165,32,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.166.2.0',plain,
% 1.39/1.80 ( composition(converse(sk1),top) = composition(top,sk1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.166.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_163]).
% 1.39/1.80 cnf('0.168.0.0',plain,
% 1.39/1.80 ( complement(top) = join(complement(top),composition(converse(converse(sk1)),complement(composition(top,sk1)))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.13.2.0','0.166.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.1','L')]).
% 1.39/1.80 cnf('0.168.0.1',plain,
% 1.39/1.80 ( zero = join(complement(top),composition(converse(converse(sk1)),complement(composition(top,sk1)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.168.0.0','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.168.0.2',plain,
% 1.39/1.80 ( zero = join(zero,composition(converse(converse(sk1)),complement(composition(top,sk1)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.168.0.1','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.168.0.3',plain,
% 1.39/1.80 ( zero = composition(converse(converse(sk1)),complement(composition(top,sk1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.168.0.2','0.66.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.168.0.4',plain,
% 1.39/1.80 ( zero = composition(sk1,complement(composition(top,sk1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.168.0.3','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.168.1.0',plain,
% 1.39/1.80 ( zero = composition(sk1,complement(composition(top,sk1))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.168.0.4']),
% 1.39/1.80 [weight('<55,166,13,[0,0,0,7]>')]).
% 1.39/1.80 cnf('0.168.2.0',plain,
% 1.39/1.80 ( composition(sk1,complement(composition(top,sk1))) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.168.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_165]).
% 1.39/1.80 cnf('0.169.0.0',plain,
% 1.39/1.80 ( meet(top,composition(meet(X1,composition(top,converse(sk2))),sk2)) = join(meet(composition(X1,sk2),top),meet(top,composition(meet(X1,converse(sk2)),sk2))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.163.2.0','0.84.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.1.2','L')]).
% 1.39/1.80 cnf('0.169.0.1',plain,
% 1.39/1.80 ( composition(meet(X1,composition(top,converse(sk2))),sk2) = join(meet(composition(X1,sk2),top),meet(top,composition(meet(X1,converse(sk2)),sk2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.169.0.0','0.75.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.169.0.2',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk2)),sk2) = join(meet(composition(X1,sk2),top),meet(top,composition(meet(X1,converse(sk2)),sk2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.169.0.1','0.84.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.2','L')]).
% 1.39/1.80 cnf('0.169.0.3',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk2)),sk2) = join(composition(X1,sk2),meet(top,composition(meet(X1,converse(sk2)),sk2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.169.0.2','0.76.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.169.0.4',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk2)),sk2) = join(composition(X1,sk2),composition(meet(X1,converse(sk2)),sk2)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.169.0.3','0.75.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.169.0.5',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk2)),sk2) = composition(join(X1,meet(X1,converse(sk2))),sk2) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.169.0.4','0.5.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.169.0.6',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk2)),sk2) = composition(X1,sk2) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.169.0.5','0.91.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.169.1.0',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk2)),sk2) = composition(X1,sk2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.169.0.6']),
% 1.39/1.80 [weight('<69,163,84,[1,0,0,11]>')]).
% 1.39/1.80 cnf('0.169.2.0',plain,
% 1.39/1.80 ( composition(meet(X1,converse(sk2)),sk2) = composition(X1,sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.169.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_166]).
% 1.39/1.80 cnf('0.170.0.0',plain,
% 1.39/1.80 ( composition(top,sk2) = composition(converse(sk2),sk2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.169.2.0','0.75.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.170.1.0',plain,
% 1.39/1.80 ( composition(top,sk2) = composition(converse(sk2),sk2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.170.0.0']),
% 1.39/1.80 [weight('<39,169,75,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.170.2.0',plain,
% 1.39/1.80 ( composition(converse(sk2),sk2) = composition(top,sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_167]).
% 1.39/1.80 cnf('0.171.0.0',plain,
% 1.39/1.80 ( composition(converse(sk2),sk2) = converse(composition(top,sk2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.32.2.0','0.170.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.171.0.1',plain,
% 1.39/1.80 ( composition(top,sk2) = converse(composition(top,sk2)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.171.0.0','0.170.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.171.0.2',plain,
% 1.39/1.80 ( composition(top,sk2) = composition(converse(sk2),top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.171.0.1','0.85.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.171.1.0',plain,
% 1.39/1.80 ( composition(top,sk2) = composition(converse(sk2),top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.171.0.2']),
% 1.39/1.80 [weight('<39,170,32,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.171.2.0',plain,
% 1.39/1.80 ( composition(converse(sk2),top) = composition(top,sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.171.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_168]).
% 1.39/1.80 cnf('0.173.0.0',plain,
% 1.39/1.80 ( complement(top) = join(complement(top),composition(converse(converse(sk2)),complement(composition(top,sk2)))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.13.2.0','0.171.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.1','L')]).
% 1.39/1.80 cnf('0.173.0.1',plain,
% 1.39/1.80 ( zero = join(complement(top),composition(converse(converse(sk2)),complement(composition(top,sk2)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.173.0.0','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.173.0.2',plain,
% 1.39/1.80 ( zero = join(zero,composition(converse(converse(sk2)),complement(composition(top,sk2)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.173.0.1','0.19.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.173.0.3',plain,
% 1.39/1.80 ( zero = composition(converse(converse(sk2)),complement(composition(top,sk2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.173.0.2','0.66.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.173.0.4',plain,
% 1.39/1.80 ( zero = composition(sk2,complement(composition(top,sk2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.173.0.3','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.173.1.0',plain,
% 1.39/1.80 ( zero = composition(sk2,complement(composition(top,sk2))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.173.0.4']),
% 1.39/1.80 [weight('<55,171,13,[0,0,0,7]>')]).
% 1.39/1.80 cnf('0.173.2.0',plain,
% 1.39/1.80 ( composition(sk2,complement(composition(top,sk2))) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.173.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_170]).
% 1.39/1.80 cnf('0.174.0.0',plain,
% 1.39/1.80 ( composition(X1,sk1) = composition(meet(converse(sk1),X1),sk1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.164.2.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.174.1.0',plain,
% 1.39/1.80 ( composition(X1,sk1) = composition(meet(converse(sk1),X1),sk1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.174.0.0']),
% 1.39/1.80 [weight('<69,164,22,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.174.2.0',plain,
% 1.39/1.80 ( composition(meet(converse(sk1),X1),sk1) = composition(X1,sk1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_171]).
% 1.39/1.80 cnf('0.175.0.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = composition(zero,sk1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.174.2.0','0.18.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.175.1.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = composition(zero,sk1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.175.0.0']),
% 1.39/1.80 [weight('<53,174,18,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.175.2.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = composition(zero,sk1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.175.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_172]).
% 1.39/1.80 cnf('0.178.0.0',plain,
% 1.39/1.80 ( composition(X1,sk2) = composition(meet(converse(sk2),X1),sk2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.169.2.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.178.1.0',plain,
% 1.39/1.80 ( composition(X1,sk2) = composition(meet(converse(sk2),X1),sk2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.178.0.0']),
% 1.39/1.80 [weight('<69,169,22,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.178.2.0',plain,
% 1.39/1.80 ( composition(meet(converse(sk2),X1),sk2) = composition(X1,sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_175]).
% 1.39/1.80 cnf('0.179.0.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk2)),sk2) = composition(zero,sk2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.178.2.0','0.18.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.179.1.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk2)),sk2) = composition(zero,sk2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.179.0.0']),
% 1.39/1.80 [weight('<53,178,18,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.179.2.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk2)),sk2) = composition(zero,sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_176]).
% 1.39/1.80 cnf('0.195.0.0',plain,
% 1.39/1.80 ( composition(join(top,X1),converse(sk1)) = join(converse(sk1),composition(X1,converse(sk1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.5.2.0','0.83.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.195.0.1',plain,
% 1.39/1.80 ( composition(top,converse(sk1)) = join(converse(sk1),composition(X1,converse(sk1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.195.0.0','0.62.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.195.0.2',plain,
% 1.39/1.80 ( converse(sk1) = join(converse(sk1),composition(X1,converse(sk1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.195.0.1','0.83.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.195.1.0',plain,
% 1.39/1.80 ( converse(sk1) = join(converse(sk1),composition(X1,converse(sk1))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.195.0.2']),
% 1.39/1.80 [weight('<79,83,5,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.195.2.0',plain,
% 1.39/1.80 ( join(converse(sk1),composition(X1,converse(sk1))) = converse(sk1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.195.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_192]).
% 1.39/1.80 cnf('0.196.0.0',plain,
% 1.39/1.80 ( join(sk1,converse(composition(X1,converse(sk1)))) = converse(converse(sk1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.47.2.0','0.195.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.196.0.1',plain,
% 1.39/1.80 ( join(sk1,composition(sk1,converse(X1))) = converse(converse(sk1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.196.0.0','0.31.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.196.0.2',plain,
% 1.39/1.80 ( join(sk1,composition(sk1,converse(X1))) = sk1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.196.0.1','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.196.1.0',plain,
% 1.39/1.80 ( join(sk1,composition(sk1,converse(X1))) = sk1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.196.0.2']),
% 1.39/1.80 [weight('<55,195,47,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.196.2.0',plain,
% 1.39/1.80 ( join(sk1,composition(sk1,converse(X1))) = sk1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.196.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_193]).
% 1.39/1.80 cnf('0.197.0.0',plain,
% 1.39/1.80 ( sk1 = join(sk1,composition(sk1,X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.196.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2','L')]).
% 1.39/1.80 cnf('0.197.1.0',plain,
% 1.39/1.80 ( sk1 = join(sk1,composition(sk1,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.197.0.0']),
% 1.39/1.80 [weight('<41,196,3,[1,0,0,4]>')]).
% 1.39/1.80 cnf('0.197.2.0',plain,
% 1.39/1.80 ( join(sk1,composition(sk1,X1)) = sk1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_194]).
% 1.39/1.80 cnf('0.200.0.0',plain,
% 1.39/1.80 ( zero = meet(composition(sk1,X1),complement(sk1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.123.2.0','0.197.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.200.1.0',plain,
% 1.39/1.80 ( zero = meet(composition(sk1,X1),complement(sk1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.200.0.0']),
% 1.39/1.80 [weight('<55,197,123,[0,0,0,3]>')]).
% 1.39/1.80 cnf('0.200.1.1',plain,
% 1.39/1.80 ( zero = meet(complement(sk1),composition(sk1,X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.200.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.200.2.0',plain,
% 1.39/1.80 ( meet(complement(sk1),composition(sk1,X1)) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.200.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_197]).
% 1.39/1.80 cnf('0.201.0.0',plain,
% 1.39/1.80 ( composition(join(top,X1),converse(sk2)) = join(converse(sk2),composition(X1,converse(sk2))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.5.2.0','0.84.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.201.0.1',plain,
% 1.39/1.80 ( composition(top,converse(sk2)) = join(converse(sk2),composition(X1,converse(sk2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.201.0.0','0.62.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.201.0.2',plain,
% 1.39/1.80 ( converse(sk2) = join(converse(sk2),composition(X1,converse(sk2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.201.0.1','0.84.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.201.1.0',plain,
% 1.39/1.80 ( converse(sk2) = join(converse(sk2),composition(X1,converse(sk2))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.201.0.2']),
% 1.39/1.80 [weight('<79,84,5,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.201.2.0',plain,
% 1.39/1.80 ( join(converse(sk2),composition(X1,converse(sk2))) = converse(sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.201.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_198]).
% 1.39/1.80 cnf('0.202.0.0',plain,
% 1.39/1.80 ( join(sk2,converse(composition(X1,converse(sk2)))) = converse(converse(sk2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.47.2.0','0.201.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.202.0.1',plain,
% 1.39/1.80 ( join(sk2,composition(sk2,converse(X1))) = converse(converse(sk2)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.202.0.0','0.31.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.202.0.2',plain,
% 1.39/1.80 ( join(sk2,composition(sk2,converse(X1))) = sk2 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.202.0.1','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.202.1.0',plain,
% 1.39/1.80 ( join(sk2,composition(sk2,converse(X1))) = sk2 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.202.0.2']),
% 1.39/1.80 [weight('<55,201,47,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.202.2.0',plain,
% 1.39/1.80 ( join(sk2,composition(sk2,converse(X1))) = sk2 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.202.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_199]).
% 1.39/1.80 cnf('0.203.0.0',plain,
% 1.39/1.80 ( sk2 = join(sk2,composition(sk2,X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.202.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2','L')]).
% 1.39/1.80 cnf('0.203.1.0',plain,
% 1.39/1.80 ( sk2 = join(sk2,composition(sk2,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.203.0.0']),
% 1.39/1.80 [weight('<41,202,3,[1,0,0,4]>')]).
% 1.39/1.80 cnf('0.203.2.0',plain,
% 1.39/1.80 ( join(sk2,composition(sk2,X1)) = sk2 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.203.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_200]).
% 1.39/1.80 cnf('0.206.0.0',plain,
% 1.39/1.80 ( zero = meet(composition(sk2,X1),complement(sk2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.123.2.0','0.203.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.206.1.0',plain,
% 1.39/1.80 ( zero = meet(composition(sk2,X1),complement(sk2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.206.0.0']),
% 1.39/1.80 [weight('<55,203,123,[0,0,0,3]>')]).
% 1.39/1.80 cnf('0.206.1.1',plain,
% 1.39/1.80 ( zero = meet(complement(sk2),composition(sk2,X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.206.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.206.2.0',plain,
% 1.39/1.80 ( meet(complement(sk2),composition(sk2,X1)) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.206.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_203]).
% 1.39/1.80 cnf('0.214.0.0',plain,
% 1.39/1.80 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 1.39/1.80 cnf('0.214.1.0',plain,
% 1.39/1.80 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.214.0.0']),
% 1.39/1.80 [weight('<?,2,10,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.214.1.1',plain,
% 1.39/1.80 ( complement(meet(join(complement(X1),complement(X2)),join(complement(X1),X2))) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.214.1.0','0.131.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.214.1.2',plain,
% 1.39/1.80 ( complement(meet(join(complement(X1),X2),join(complement(X1),complement(X2)))) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.214.1.1','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.214.1.3',plain,
% 1.39/1.80 ( complement(meet(join(complement(X1),X2),complement(meet(X1,X2)))) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.214.1.2','0.131.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.2','L')]).
% 1.39/1.80 cnf('0.214.1.4',plain,
% 1.39/1.80 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.214.1.3','0.130.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.214.1.5',plain,
% 1.39/1.80 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.214.1.4','0.127.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.214.2.0',plain,
% 1.39/1.80 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.214.1.5',theory(equality)]),
% 1.39/1.80 [u,rule_211]).
% 1.39/1.80 cnf('0.219.0.0',plain,
% 1.39/1.80 ( converse(X1) = meet(converse(X1),converse(join(X2,X1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.97.2.0','0.14.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.219.1.0',plain,
% 1.39/1.80 ( converse(X1) = meet(converse(X1),converse(join(X2,X1))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.219.0.0']),
% 1.39/1.80 [weight('<79,97,14,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.219.2.0',plain,
% 1.39/1.80 ( meet(converse(X1),converse(join(X2,X1))) = converse(X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.219.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_216]).
% 1.39/1.80 cnf('0.220.0.0',plain,
% 1.39/1.80 ( converse(composition(zero,top)) = meet(converse(composition(zero,top)),converse(sk1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.219.2.0','0.80.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.220.0.1',plain,
% 1.39/1.80 ( composition(converse(top),zero) = meet(converse(composition(zero,top)),converse(sk1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.220.0.0','0.87.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.220.0.2',plain,
% 1.39/1.80 ( composition(top,zero) = meet(converse(composition(zero,top)),converse(sk1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.220.0.1','0.63.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.220.0.3',plain,
% 1.39/1.80 ( composition(top,zero) = meet(composition(converse(top),zero),converse(sk1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.220.0.2','0.87.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.220.0.4',plain,
% 1.39/1.80 ( composition(top,zero) = meet(composition(top,zero),converse(sk1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.220.0.3','0.63.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1.1','L')]).
% 1.39/1.80 cnf('0.220.1.0',plain,
% 1.39/1.80 ( composition(top,zero) = meet(composition(top,zero),converse(sk1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.220.0.4']),
% 1.39/1.80 [weight('<69,219,80,[1,0,0,4]>')]).
% 1.39/1.80 cnf('0.220.1.1',plain,
% 1.39/1.80 ( composition(top,zero) = meet(converse(sk1),composition(top,zero)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.220.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.220.2.0',plain,
% 1.39/1.80 ( meet(converse(sk1),composition(top,zero)) = composition(top,zero) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.220.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_217]).
% 1.39/1.80 cnf('0.230.0.0',plain,
% 1.39/1.80 ( composition(converse(sk1),composition(sk1,X1)) = composition(composition(top,sk1),X1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.4.2.0','0.165.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.230.0.1',plain,
% 1.39/1.80 ( composition(converse(sk1),composition(sk1,X1)) = composition(top,composition(sk1,X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.230.0.0','0.4.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.230.1.0',plain,
% 1.39/1.80 ( composition(converse(sk1),composition(sk1,X1)) = composition(top,composition(sk1,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.230.0.1']),
% 1.39/1.80 [weight('<83,165,4,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.230.2.0',plain,
% 1.39/1.80 ( composition(converse(sk1),composition(sk1,X1)) = composition(top,composition(sk1,X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.230.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_227]).
% 1.39/1.80 cnf('0.231.0.0',plain,
% 1.39/1.80 ( composition(top,composition(sk1,complement(composition(top,sk1)))) = composition(converse(sk1),zero) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.230.2.0','0.168.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.231.0.1',plain,
% 1.39/1.80 ( composition(top,zero) = composition(converse(sk1),zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.231.0.0','0.168.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.231.1.0',plain,
% 1.39/1.80 ( composition(top,zero) = composition(converse(sk1),zero) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.231.0.1']),
% 1.39/1.80 [weight('<39,230,168,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.231.2.0',plain,
% 1.39/1.80 ( composition(converse(sk1),zero) = composition(top,zero) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.231.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_228]).
% 1.39/1.80 cnf('0.232.0.0',plain,
% 1.39/1.80 ( composition(converse(zero),sk1) = converse(composition(top,zero)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.32.2.0','0.231.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.232.0.1',plain,
% 1.39/1.80 ( composition(zero,sk1) = converse(composition(top,zero)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.232.0.0','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.232.0.2',plain,
% 1.39/1.80 ( composition(zero,sk1) = composition(converse(zero),top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.232.0.1','0.85.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.232.0.3',plain,
% 1.39/1.80 ( composition(zero,sk1) = composition(zero,top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.232.0.2','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.232.1.0',plain,
% 1.39/1.80 ( composition(zero,sk1) = composition(zero,top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.232.0.3']),
% 1.39/1.80 [weight('<27,231,32,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.232.2.0',plain,
% 1.39/1.80 ( composition(zero,top) = composition(zero,sk1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.232.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_229]).
% 1.39/1.80 cnf('0.257.0.0',plain,
% 1.39/1.80 ( composition(converse(sk2),composition(sk2,X1)) = composition(composition(top,sk2),X1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.4.2.0','0.170.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.257.0.1',plain,
% 1.39/1.80 ( composition(converse(sk2),composition(sk2,X1)) = composition(top,composition(sk2,X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.257.0.0','0.4.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.257.1.0',plain,
% 1.39/1.80 ( composition(converse(sk2),composition(sk2,X1)) = composition(top,composition(sk2,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.257.0.1']),
% 1.39/1.80 [weight('<83,170,4,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.257.2.0',plain,
% 1.39/1.80 ( composition(converse(sk2),composition(sk2,X1)) = composition(top,composition(sk2,X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.257.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_254]).
% 1.39/1.80 cnf('0.258.0.0',plain,
% 1.39/1.80 ( composition(top,composition(sk2,complement(composition(top,sk2)))) = composition(converse(sk2),zero) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.257.2.0','0.173.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.258.0.1',plain,
% 1.39/1.80 ( composition(top,zero) = composition(converse(sk2),zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.258.0.0','0.173.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.258.1.0',plain,
% 1.39/1.80 ( composition(top,zero) = composition(converse(sk2),zero) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.258.0.1']),
% 1.39/1.80 [weight('<39,257,173,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.258.2.0',plain,
% 1.39/1.80 ( composition(converse(sk2),zero) = composition(top,zero) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.258.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_255]).
% 1.39/1.80 cnf('0.259.0.0',plain,
% 1.39/1.80 ( composition(converse(zero),sk2) = converse(composition(top,zero)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.32.2.0','0.258.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.259.0.1',plain,
% 1.39/1.80 ( composition(zero,sk2) = converse(composition(top,zero)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.259.0.0','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.259.0.2',plain,
% 1.39/1.80 ( composition(zero,sk2) = composition(converse(zero),top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.259.0.1','0.85.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.259.0.3',plain,
% 1.39/1.80 ( composition(zero,sk2) = composition(zero,top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.259.0.2','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.259.0.4',plain,
% 1.39/1.80 ( composition(zero,sk2) = composition(zero,sk1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.259.0.3','0.232.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.259.1.0',plain,
% 1.39/1.80 ( composition(zero,sk2) = composition(zero,sk1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.259.0.4']),
% 1.39/1.80 [weight('<27,258,32,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.259.2.0',plain,
% 1.39/1.80 ( composition(zero,sk1) = composition(zero,sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.259.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_256]).
% 1.39/1.80 cnf('0.260.0.0',plain,
% 1.39/1.80 ( composition(zero,top) = composition(zero,sk1) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.232.2.0'])).
% 1.39/1.80 cnf('0.260.0.1',plain,
% 1.39/1.80 ( composition(zero,top) = composition(zero,sk2) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.260.0.0','0.259.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.260.1.0',plain,
% 1.39/1.80 ( composition(zero,top) = composition(zero,sk2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.260.0.1']),
% 1.39/1.80 [weight('<27,232,259,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.260.2.0',plain,
% 1.39/1.80 ( composition(zero,top) = composition(zero,sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.260.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_257]).
% 1.39/1.80 cnf('0.263.0.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = composition(zero,sk1) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.175.2.0'])).
% 1.39/1.80 cnf('0.263.0.1',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = composition(zero,sk2) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.263.0.0','0.259.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.263.1.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = composition(zero,sk2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.263.0.1']),
% 1.39/1.80 [weight('<53,175,259,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.263.2.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = composition(zero,sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.263.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_260]).
% 1.39/1.80 cnf('0.291.0.0',plain,
% 1.39/1.80 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.11.2.0','0.91.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.291.1.0',plain,
% 1.39/1.80 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.291.0.0']),
% 1.39/1.80 [weight('<87,91,11,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.291.2.0',plain,
% 1.39/1.80 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.291.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_288]).
% 1.39/1.80 cnf('0.304.0.0',plain,
% 1.39/1.80 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.11.2.0','0.92.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.304.1.0',plain,
% 1.39/1.80 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.304.0.0']),
% 1.39/1.80 [weight('<87,92,11,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.304.2.0',plain,
% 1.39/1.80 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.304.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_301]).
% 1.39/1.80 cnf('0.305.0.0',plain,
% 1.39/1.80 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.304.2.0','0.214.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.305.1.0',plain,
% 1.39/1.80 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.305.0.0']),
% 1.39/1.80 [weight('<69,304,214,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.305.2.0',plain,
% 1.39/1.80 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.305.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_302]).
% 1.39/1.80 cnf('0.306.0.0',plain,
% 1.39/1.80 ( join(X1,X2) = join(X1,meet(X2,complement(X1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.305.2.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.306.1.0',plain,
% 1.39/1.80 ( join(X1,X2) = join(X1,meet(X2,complement(X1))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.306.0.0']),
% 1.39/1.80 [weight('<69,305,22,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.306.2.0',plain,
% 1.39/1.80 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.306.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_303]).
% 1.39/1.80 cnf('0.307.0.0',plain,
% 1.39/1.80 ( join(complement(X1),X2) = join(complement(X1),meet(X1,X2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.305.2.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.307.1.0',plain,
% 1.39/1.80 ( join(complement(X1),X2) = join(complement(X1),meet(X1,X2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.307.0.0']),
% 1.39/1.80 [weight('<76,305,71,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.307.2.0',plain,
% 1.39/1.80 ( join(complement(X1),meet(X1,X2)) = join(complement(X1),X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.307.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_304]).
% 1.39/1.80 cnf('0.308.0.0',plain,
% 1.39/1.80 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.127.2.0','0.305.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.308.0.1',plain,
% 1.39/1.80 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.308.0.0','0.128.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.308.0.2',plain,
% 1.39/1.80 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.308.0.1','0.131.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.308.0.3',plain,
% 1.39/1.80 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.308.0.2','0.127.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.308.1.0',plain,
% 1.39/1.80 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.308.0.3']),
% 1.39/1.80 [weight('<76,305,127,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.308.1.1',plain,
% 1.39/1.80 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.308.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.308.2.0',plain,
% 1.39/1.80 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.308.1.1',theory(equality)]),
% 1.39/1.80 [u,rule_305]).
% 1.39/1.80 cnf('0.309.0.0',plain,
% 1.39/1.80 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.308.2.0','0.130.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.309.0.1',plain,
% 1.39/1.80 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.309.0.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.309.1.0',plain,
% 1.39/1.80 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.309.0.1']),
% 1.39/1.80 [weight('<69,308,130,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.309.2.0',plain,
% 1.39/1.80 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.309.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_306]).
% 1.39/1.80 cnf('0.310.0.0',plain,
% 1.39/1.80 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.309.2.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.310.1.0',plain,
% 1.39/1.80 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.310.0.0']),
% 1.39/1.80 [weight('<69,309,10,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.310.2.0',plain,
% 1.39/1.80 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.310.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_307]).
% 1.39/1.80 cnf('0.311.0.0',plain,
% 1.39/1.80 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.310.2.0','0.94.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.311.0.1',plain,
% 1.39/1.80 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.311.0.0','0.76.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.311.1.0',plain,
% 1.39/1.80 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.311.0.1']),
% 1.39/1.80 [weight('<71,310,94,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.311.1.1',plain,
% 1.39/1.80 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.311.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.311.2.0',plain,
% 1.39/1.80 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.311.1.1',theory(equality)]),
% 1.39/1.80 [u,rule_308]).
% 1.39/1.80 cnf('0.312.0.0',plain,
% 1.39/1.80 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.128.2.0','0.311.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.312.0.1',plain,
% 1.39/1.80 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.312.0.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1.1.1.1','L')]).
% 1.39/1.80 cnf('0.312.0.2',plain,
% 1.39/1.80 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.312.0.1','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.312.1.0',plain,
% 1.39/1.80 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.312.0.2']),
% 1.39/1.80 [weight('<71,311,128,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.312.2.0',plain,
% 1.39/1.80 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.312.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_309]).
% 1.39/1.80 cnf('0.316.0.0',plain,
% 1.39/1.80 ( composition(join(X1,composition(X2,X3)),X4) = join(composition(X1,X4),composition(X2,composition(X3,X4))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.316.1.0',plain,
% 1.39/1.80 ( composition(join(X1,composition(X2,X3)),X4) = join(composition(X1,X4),composition(X2,composition(X3,X4))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.316.0.0']),
% 1.39/1.80 [weight('<?,5,4,[1,0,0,4]>')]).
% 1.39/1.80 cnf('0.316.2.0',plain,
% 1.39/1.80 ( join(composition(X1,X2),composition(X3,composition(X4,X2))) = composition(join(X1,composition(X3,X4)),X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.316.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_313]).
% 1.39/1.80 cnf('0.324.0.0',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.47.2.0','0.312.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.324.0.1',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.324.0.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1.1.1.1','L')]).
% 1.39/1.80 cnf('0.324.0.2',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.324.0.1','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.324.1.0',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.324.0.2']),
% 1.39/1.80 [weight('<71,312,47,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.324.2.0',plain,
% 1.39/1.80 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.324.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_321]).
% 1.39/1.80 cnf('0.325.0.0',plain,
% 1.39/1.80 ( meet(converse(complement(converse(complement(complement(X1))))),X1) = meet(X1,complement(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.310.2.0','0.324.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.325.0.1',plain,
% 1.39/1.80 ( meet(converse(complement(converse(X1))),X1) = meet(X1,complement(X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.325.0.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1.1.1','L')]).
% 1.39/1.80 cnf('0.325.0.2',plain,
% 1.39/1.80 ( meet(converse(complement(converse(X1))),X1) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.325.0.1','0.18.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.325.1.0',plain,
% 1.39/1.80 ( meet(converse(complement(converse(X1))),X1) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.325.0.2']),
% 1.39/1.80 [weight('<55,324,310,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.325.1.1',plain,
% 1.39/1.80 ( meet(X1,converse(complement(converse(X1)))) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.325.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.325.2.0',plain,
% 1.39/1.80 ( meet(X1,converse(complement(converse(X1)))) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.325.1.1',theory(equality)]),
% 1.39/1.80 [u,rule_322]).
% 1.39/1.80 cnf('0.326.0.0',plain,
% 1.39/1.80 ( composition(converse(complement(converse(converse(sk1)))),sk1) = composition(zero,sk1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.174.2.0','0.325.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.326.0.1',plain,
% 1.39/1.80 ( composition(converse(complement(sk1)),sk1) = composition(zero,sk1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.326.0.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1.1','L')]).
% 1.39/1.80 cnf('0.326.0.2',plain,
% 1.39/1.80 ( composition(converse(complement(sk1)),sk1) = composition(zero,sk2) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.326.0.1','0.259.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.326.1.0',plain,
% 1.39/1.80 ( composition(converse(complement(sk1)),sk1) = composition(zero,sk2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.326.0.2']),
% 1.39/1.80 [weight('<53,325,174,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.326.2.0',plain,
% 1.39/1.80 ( composition(converse(complement(sk1)),sk1) = composition(zero,sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.326.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_323]).
% 1.39/1.80 cnf('0.328.0.0',plain,
% 1.39/1.80 ( composition(converse(sk1),complement(sk1)) = converse(composition(zero,sk2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.32.2.0','0.326.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.328.0.1',plain,
% 1.39/1.80 ( composition(converse(sk1),complement(sk1)) = composition(converse(sk2),zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.328.0.0','0.87.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.328.0.2',plain,
% 1.39/1.80 ( composition(converse(sk1),complement(sk1)) = composition(top,zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.328.0.1','0.258.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.328.1.0',plain,
% 1.39/1.80 ( composition(converse(sk1),complement(sk1)) = composition(top,zero) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.328.0.2']),
% 1.39/1.80 [weight('<53,326,32,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.328.2.0',plain,
% 1.39/1.80 ( composition(converse(sk1),complement(sk1)) = composition(top,zero) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.328.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_325]).
% 1.39/1.80 cnf('0.331.0.0',plain,
% 1.39/1.80 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.127.2.0','0.324.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.331.0.1',plain,
% 1.39/1.80 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.331.0.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1.1.1.1','L')]).
% 1.39/1.80 cnf('0.331.0.2',plain,
% 1.39/1.80 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.331.0.1','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.331.1.0',plain,
% 1.39/1.80 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.331.0.2']),
% 1.39/1.80 [weight('<71,324,127,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.331.1.1',plain,
% 1.39/1.80 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.331.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.331.2.0',plain,
% 1.39/1.80 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.331.1.1',theory(equality)]),
% 1.39/1.80 [u,rule_328]).
% 1.39/1.80 cnf('0.335.0.0',plain,
% 1.39/1.80 ( join(complement(X1),X2) = join(complement(X1),meet(X2,X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.306.2.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2','L')]).
% 1.39/1.80 cnf('0.335.1.0',plain,
% 1.39/1.80 ( join(complement(X1),X2) = join(complement(X1),meet(X2,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.335.0.0']),
% 1.39/1.80 [weight('<76,306,71,[1,0,0,4]>')]).
% 1.39/1.80 cnf('0.335.2.0',plain,
% 1.39/1.80 ( join(complement(X1),meet(X2,X1)) = join(complement(X1),X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.335.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_332]).
% 1.39/1.80 cnf('0.336.0.0',plain,
% 1.39/1.80 ( join(X1,complement(X2)) = join(X1,complement(join(X2,X1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.306.2.0','0.129.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.336.1.0',plain,
% 1.39/1.80 ( join(X1,complement(X2)) = join(X1,complement(join(X2,X1))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.336.0.0']),
% 1.39/1.80 [weight('<76,306,129,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.336.2.0',plain,
% 1.39/1.80 ( join(X1,complement(join(X2,X1))) = join(X1,complement(X2)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.336.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_333]).
% 1.39/1.80 cnf('0.337.0.0',plain,
% 1.39/1.80 ( meet(complement(X1),X2) = meet(X2,complement(meet(X1,X2))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.308.2.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.337.1.0',plain,
% 1.39/1.80 ( meet(complement(X1),X2) = meet(X2,complement(meet(X1,X2))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.337.0.0']),
% 1.39/1.80 [weight('<76,308,22,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.337.2.0',plain,
% 1.39/1.80 ( meet(X1,complement(meet(X2,X1))) = meet(complement(X2),X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.337.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_334]).
% 1.39/1.80 cnf('0.338.0.0',plain,
% 1.39/1.80 ( meet(complement(complement(X1)),complement(X2)) = meet(complement(X2),complement(complement(join(X2,X1)))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.308.2.0','0.129.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.338.0.1',plain,
% 1.39/1.80 ( complement(join(complement(X1),X2)) = meet(complement(X2),complement(complement(join(X2,X1)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.338.0.0','0.129.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.338.0.2',plain,
% 1.39/1.80 ( meet(complement(X2),X1) = meet(complement(X2),complement(complement(join(X2,X1)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.338.0.1','0.127.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.338.0.3',plain,
% 1.39/1.80 ( meet(complement(X2),X1) = complement(join(X2,complement(join(X2,X1)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.338.0.2','0.129.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.338.0.4',plain,
% 1.39/1.80 ( meet(complement(X2),X1) = meet(complement(X2),join(X2,X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.338.0.3','0.126.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.338.1.0',plain,
% 1.39/1.80 ( meet(complement(X2),X1) = meet(complement(X2),join(X2,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.338.0.4']),
% 1.39/1.80 [weight('<76,308,129,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.338.2.0',plain,
% 1.39/1.80 ( meet(complement(X1),join(X1,X2)) = meet(complement(X1),X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.338.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_335]).
% 1.39/1.80 cnf('0.339.0.0',plain,
% 1.39/1.80 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.309.2.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2','L')]).
% 1.39/1.80 cnf('0.339.1.0',plain,
% 1.39/1.80 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.339.0.0']),
% 1.39/1.80 [weight('<76,309,71,[1,0,0,4]>')]).
% 1.39/1.80 cnf('0.339.2.0',plain,
% 1.39/1.80 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.339.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_336]).
% 1.39/1.80 cnf('0.340.0.0',plain,
% 1.39/1.80 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.339.2.0','0.94.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.340.0.1',plain,
% 1.39/1.80 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.340.0.0','0.331.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.340.0.2',plain,
% 1.39/1.80 ( X1 = complement(converse(complement(converse(X1)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.340.0.1','0.76.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.340.1.0',plain,
% 1.39/1.80 ( X1 = complement(converse(complement(converse(X1)))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.340.0.2']),
% 1.39/1.80 [weight('<41,339,94,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.340.2.0',plain,
% 1.39/1.80 ( complement(converse(complement(converse(X1)))) = X1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.340.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_337]).
% 1.39/1.80 cnf('0.341.0.0',plain,
% 1.39/1.80 ( converse(X1) = complement(converse(complement(X1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.340.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1.1','L')]).
% 1.39/1.80 cnf('0.341.1.0',plain,
% 1.39/1.80 ( converse(X1) = complement(converse(complement(X1))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.341.0.0']),
% 1.39/1.80 [weight('<34,340,3,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.341.2.0',plain,
% 1.39/1.80 ( complement(converse(complement(X1))) = converse(X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.341.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_338]).
% 1.39/1.80 cnf('0.342.0.0',plain,
% 1.39/1.80 ( converse(complement(X1)) = complement(converse(X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.71.2.0','0.341.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.342.1.0',plain,
% 1.39/1.80 ( converse(complement(X1)) = complement(converse(X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.342.0.0']),
% 1.39/1.80 [weight('<27,341,71,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.342.2.0',plain,
% 1.39/1.80 ( converse(complement(X1)) = complement(converse(X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.342.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_339]).
% 1.39/1.80 cnf('0.355.0.0',plain,
% 1.39/1.80 ( join(complement(X1),converse(X2)) = converse(join(complement(converse(X1)),X2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.47.2.0','0.342.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.355.1.0',plain,
% 1.39/1.80 ( join(complement(X1),converse(X2)) = converse(join(complement(converse(X1)),X2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.355.0.0']),
% 1.39/1.80 [weight('<83,342,47,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.355.2.0',plain,
% 1.39/1.80 ( converse(join(complement(converse(X1)),X2)) = join(complement(X1),converse(X2)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.355.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_352]).
% 1.39/1.80 cnf('0.357.0.0',plain,
% 1.39/1.80 ( complement(converse(join(X1,complement(X2)))) = converse(meet(complement(X1),X2)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.342.2.0','0.126.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.357.1.0',plain,
% 1.39/1.80 ( complement(converse(join(X1,complement(X2)))) = converse(meet(complement(X1),X2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.357.0.0']),
% 1.39/1.80 [weight('<83,342,126,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.357.2.0',plain,
% 1.39/1.80 ( complement(converse(join(X1,complement(X2)))) = converse(meet(complement(X1),X2)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.357.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_354]).
% 1.39/1.80 cnf('0.358.0.0',plain,
% 1.39/1.80 ( converse(meet(complement(complement(converse(X1))),X2)) = complement(join(complement(X1),converse(complement(X2)))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.357.2.0','0.355.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.358.0.1',plain,
% 1.39/1.80 ( converse(meet(converse(X1),X2)) = complement(join(complement(X1),converse(complement(X2)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.358.0.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.358.0.2',plain,
% 1.39/1.80 ( converse(meet(converse(X1),X2)) = meet(complement(converse(complement(X2))),X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.358.0.1','0.127.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.358.0.3',plain,
% 1.39/1.80 ( converse(meet(converse(X1),X2)) = meet(complement(complement(converse(X2))),X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.358.0.2','0.342.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1.1','L')]).
% 1.39/1.80 cnf('0.358.0.4',plain,
% 1.39/1.80 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.358.0.3','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.358.1.0',plain,
% 1.39/1.80 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.358.0.4']),
% 1.39/1.80 [weight('<59,357,355,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.358.2.0',plain,
% 1.39/1.80 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.358.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_355]).
% 1.39/1.80 cnf('0.392.0.0',plain,
% 1.39/1.80 ( join(sk1,join(composition(sk1,X1),X2)) = join(sk1,X2) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.11.2.0','0.197.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.392.1.0',plain,
% 1.39/1.80 ( join(sk1,join(composition(sk1,X1),X2)) = join(sk1,X2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.392.0.0']),
% 1.39/1.80 [weight('<87,197,11,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.392.2.0',plain,
% 1.39/1.80 ( join(sk1,join(composition(sk1,X1),X2)) = join(sk1,X2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.392.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_389]).
% 1.39/1.80 cnf('0.418.0.0',plain,
% 1.39/1.80 ( composition(join(converse(X1),X2),converse(X3)) = join(converse(composition(X3,X1)),composition(X2,converse(X3))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.5.2.0','0.6.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.418.1.0',plain,
% 1.39/1.80 ( composition(join(converse(X1),X2),converse(X3)) = join(converse(composition(X3,X1)),composition(X2,converse(X3))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.418.0.0']),
% 1.39/1.80 [weight('<?,6,5,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.418.2.0',plain,
% 1.39/1.80 ( join(converse(composition(X1,X2)),composition(X3,converse(X1))) = composition(join(converse(X2),X3),converse(X1)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.418.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_415]).
% 1.39/1.80 cnf('0.588.0.0',plain,
% 1.39/1.80 ( meet(X1,join(X2,X1)) = meet(join(X2,X1),join(X1,complement(X2))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.309.2.0','0.336.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.588.0.1',plain,
% 1.39/1.80 ( X1 = meet(join(X2,X1),join(X1,complement(X2))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.588.0.0','0.97.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.588.1.0',plain,
% 1.39/1.80 ( X1 = meet(join(X2,X1),join(X1,complement(X2))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.588.0.1']),
% 1.39/1.80 [weight('<89,336,309,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.588.2.0',plain,
% 1.39/1.80 ( meet(join(X1,X2),join(X2,complement(X1))) = X2 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.588.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_585]).
% 1.39/1.80 cnf('0.622.0.0',plain,
% 1.39/1.80 ( 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)))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1.2.2','L')]).
% 1.39/1.80 cnf('0.622.0.1',plain,
% 1.39/1.80 ( 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)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.622.0.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.2.2','L')]).
% 1.39/1.80 cnf('0.622.1.0',plain,
% 1.39/1.80 ( 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)))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.622.0.1']),
% 1.39/1.80 [weight('<?,7,3,[1,0,0,11]>')]).
% 1.39/1.80 cnf('0.622.2.0',plain,
% 1.39/1.80 ( 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))) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.622.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_619]).
% 1.39/1.80 cnf('0.623.0.0',plain,
% 1.39/1.80 ( composition(meet(sk1,composition(top,top)),meet(converse(top),composition(converse(sk1),top))) = join(meet(composition(sk1,converse(top)),top),composition(sk1,meet(converse(top),composition(converse(sk1),top)))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.622.2.0','0.98.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.623.0.1',plain,
% 1.39/1.80 ( composition(sk1,meet(converse(top),composition(converse(sk1),top))) = join(meet(composition(sk1,converse(top)),top),composition(sk1,meet(converse(top),composition(converse(sk1),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.623.0.0','0.98.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.623.0.2',plain,
% 1.39/1.80 ( composition(sk1,meet(top,composition(converse(sk1),top))) = join(meet(composition(sk1,converse(top)),top),composition(sk1,meet(converse(top),composition(converse(sk1),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.623.0.1','0.63.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.623.0.3',plain,
% 1.39/1.80 ( composition(sk1,composition(converse(sk1),top)) = join(meet(composition(sk1,converse(top)),top),composition(sk1,meet(converse(top),composition(converse(sk1),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.623.0.2','0.75.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.623.0.4',plain,
% 1.39/1.80 ( composition(sk1,composition(top,sk1)) = join(meet(composition(sk1,converse(top)),top),composition(sk1,meet(converse(top),composition(converse(sk1),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.623.0.3','0.166.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.623.0.5',plain,
% 1.39/1.80 ( composition(sk1,sk1) = join(meet(composition(sk1,converse(top)),top),composition(sk1,meet(converse(top),composition(converse(sk1),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.623.0.4','0.25.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.623.0.6',plain,
% 1.39/1.80 ( composition(sk1,sk1) = join(composition(sk1,converse(top)),composition(sk1,meet(converse(top),composition(converse(sk1),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.623.0.5','0.76.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.623.0.7',plain,
% 1.39/1.80 ( composition(sk1,sk1) = join(composition(sk1,top),composition(sk1,meet(converse(top),composition(converse(sk1),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.623.0.6','0.63.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1.2','L')]).
% 1.39/1.80 cnf('0.623.0.8',plain,
% 1.39/1.80 ( composition(sk1,sk1) = join(sk1,composition(sk1,meet(converse(top),composition(converse(sk1),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.623.0.7','0.8.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.623.0.9',plain,
% 1.39/1.80 ( composition(sk1,sk1) = sk1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.623.0.8','0.197.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.623.1.0',plain,
% 1.39/1.80 ( composition(sk1,sk1) = sk1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.623.0.9']),
% 1.39/1.80 [weight('<19,622,98,[1,0,0,8]>')]).
% 1.39/1.80 cnf('0.623.2.0',plain,
% 1.39/1.80 ( composition(sk1,sk1) = sk1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.623.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_620]).
% 1.39/1.80 cnf('0.625.0.0',plain,
% 1.39/1.80 ( composition(meet(converse(sk1),composition(top,zero)),meet(converse(zero),composition(converse(converse(sk1)),top))) = join(meet(composition(converse(sk1),converse(zero)),top),composition(composition(top,zero),meet(converse(zero),composition(converse(converse(sk1)),top)))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.622.2.0','0.220.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.625.0.1',plain,
% 1.39/1.80 ( composition(composition(top,zero),meet(converse(zero),composition(converse(converse(sk1)),top))) = join(meet(composition(converse(sk1),converse(zero)),top),composition(composition(top,zero),meet(converse(zero),composition(converse(converse(sk1)),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.0','0.220.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.625.0.2',plain,
% 1.39/1.80 ( composition(top,composition(zero,meet(converse(zero),composition(converse(converse(sk1)),top)))) = join(meet(composition(converse(sk1),converse(zero)),top),composition(composition(top,zero),meet(converse(zero),composition(converse(converse(sk1)),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.1','0.4.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.625.0.3',plain,
% 1.39/1.80 ( composition(top,composition(zero,meet(zero,composition(converse(converse(sk1)),top)))) = join(meet(composition(converse(sk1),converse(zero)),top),composition(composition(top,zero),meet(converse(zero),composition(converse(converse(sk1)),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.2','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.1','L')]).
% 1.39/1.80 cnf('0.625.0.4',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = join(meet(composition(converse(sk1),converse(zero)),top),composition(composition(top,zero),meet(converse(zero),composition(converse(converse(sk1)),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.3','0.72.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2','L')]).
% 1.39/1.80 cnf('0.625.0.5',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = join(composition(converse(sk1),converse(zero)),composition(composition(top,zero),meet(converse(zero),composition(converse(converse(sk1)),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.4','0.76.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.625.0.6',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = join(converse(composition(zero,sk1)),composition(composition(top,zero),meet(converse(zero),composition(converse(converse(sk1)),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.5','0.6.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.625.0.7',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = join(composition(converse(sk1),zero),composition(composition(top,zero),meet(converse(zero),composition(converse(converse(sk1)),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.6','0.87.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.625.0.8',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = join(composition(top,zero),composition(composition(top,zero),meet(converse(zero),composition(converse(converse(sk1)),top)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.7','0.231.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.625.0.9',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = join(composition(top,zero),composition(top,composition(zero,meet(converse(zero),composition(converse(converse(sk1)),top))))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.8','0.4.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.625.0.10',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = join(composition(top,zero),composition(top,composition(zero,meet(zero,composition(converse(converse(sk1)),top))))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.9','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.2.2.1','L')]).
% 1.39/1.80 cnf('0.625.0.11',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = join(composition(top,zero),composition(top,composition(zero,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.10','0.72.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.2.2','L')]).
% 1.39/1.80 cnf('0.625.0.12',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = composition(join(top,composition(top,zero)),zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.11','0.316.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.625.0.13',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = composition(top,zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.625.0.12','0.62.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.625.1.0',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = composition(top,zero) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.625.0.13']),
% 1.39/1.80 [weight('<53,622,220,[1,0,0,8]>')]).
% 1.39/1.80 cnf('0.625.2.0',plain,
% 1.39/1.80 ( composition(top,composition(zero,zero)) = composition(top,zero) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.625.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_622]).
% 1.39/1.80 cnf('0.626.0.0',plain,
% 1.39/1.80 ( composition(sk1,composition(sk1,X1)) = composition(sk1,X1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.4.2.0','0.623.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.626.1.0',plain,
% 1.39/1.80 ( composition(sk1,composition(sk1,X1)) = composition(sk1,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.626.0.0']),
% 1.39/1.80 [weight('<53,623,4,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.626.2.0',plain,
% 1.39/1.80 ( composition(sk1,composition(sk1,X1)) = composition(sk1,X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.626.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_623]).
% 1.39/1.80 cnf('0.627.0.0',plain,
% 1.39/1.80 ( composition(sk1,complement(composition(top,sk1))) = composition(sk1,zero) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.626.2.0','0.168.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.627.0.1',plain,
% 1.39/1.80 ( zero = composition(sk1,zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.627.0.0','0.168.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.627.1.0',plain,
% 1.39/1.80 ( zero = composition(sk1,zero) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.627.0.1']),
% 1.39/1.80 [weight('<19,626,168,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.627.2.0',plain,
% 1.39/1.80 ( composition(sk1,zero) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.627.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_624]).
% 1.39/1.80 cnf('0.628.0.0',plain,
% 1.39/1.80 ( composition(zero,converse(sk1)) = converse(zero) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.86.2.0','0.627.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.628.0.1',plain,
% 1.39/1.80 ( composition(zero,converse(sk1)) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.628.0.0','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.628.1.0',plain,
% 1.39/1.80 ( composition(zero,converse(sk1)) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.628.0.1']),
% 1.39/1.80 [weight('<29,627,86,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.628.2.0',plain,
% 1.39/1.80 ( composition(zero,converse(sk1)) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.628.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_625]).
% 1.39/1.80 cnf('0.633.0.0',plain,
% 1.39/1.80 ( composition(sk1,composition(zero,zero)) = composition(sk1,composition(top,zero)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.25.2.0','0.625.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.633.0.1',plain,
% 1.39/1.80 ( composition(sk1,composition(zero,zero)) = composition(sk1,zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.633.0.0','0.25.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.633.1.0',plain,
% 1.39/1.80 ( composition(sk1,composition(zero,zero)) = composition(sk1,zero) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.633.0.1']),
% 1.39/1.80 [weight('<53,625,25,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.633.1.1',plain,
% 1.39/1.80 ( composition(sk1,composition(zero,zero)) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.633.1.0','0.627.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.633.2.0',plain,
% 1.39/1.80 ( composition(sk1,composition(zero,zero)) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.633.1.1',theory(equality)]),
% 1.39/1.80 [u,rule_630]).
% 1.39/1.80 cnf('0.636.0.0',plain,
% 1.39/1.80 ( composition(sk1,composition(zero,X1)) = composition(zero,X1) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.4.2.0','0.627.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.636.1.0',plain,
% 1.39/1.80 ( composition(sk1,composition(zero,X1)) = composition(zero,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.636.0.0']),
% 1.39/1.80 [weight('<53,627,4,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.636.2.0',plain,
% 1.39/1.80 ( composition(sk1,composition(zero,X1)) = composition(zero,X1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.636.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_633]).
% 1.39/1.80 cnf('0.637.0.0',plain,
% 1.39/1.80 ( composition(sk1,composition(zero,zero)) = zero ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.633.2.0'])).
% 1.39/1.80 cnf('0.637.0.1',plain,
% 1.39/1.80 ( composition(zero,zero) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.637.0.0','0.636.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.637.1.0',plain,
% 1.39/1.80 ( composition(zero,zero) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.637.0.1']),
% 1.39/1.80 [weight('<19,633,636,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.637.2.0',plain,
% 1.39/1.80 ( composition(zero,zero) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.637.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_634]).
% 1.39/1.80 cnf('0.673.0.0',plain,
% 1.39/1.80 ( 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)))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.2.1','L')]).
% 1.39/1.80 cnf('0.673.0.1',plain,
% 1.39/1.80 ( 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)))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.673.0.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.1','L')]).
% 1.39/1.80 cnf('0.673.1.0',plain,
% 1.39/1.80 ( 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)))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.673.0.1']),
% 1.39/1.80 [weight('<?,7,3,[1,0,0,16]>')]).
% 1.39/1.80 cnf('0.673.2.0',plain,
% 1.39/1.80 ( 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))) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.673.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_670]).
% 1.39/1.80 cnf('0.680.0.0',plain,
% 1.39/1.80 ( composition(meet(converse(zero),composition(converse(sk1),converse(X1))),meet(X1,composition(zero,converse(sk1)))) = join(meet(composition(converse(zero),X1),converse(sk1)),composition(meet(converse(zero),composition(converse(sk1),converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.673.2.0','0.628.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.2','L')]).
% 1.39/1.80 cnf('0.680.0.1',plain,
% 1.39/1.80 ( composition(meet(zero,composition(converse(sk1),converse(X1))),meet(X1,composition(zero,converse(sk1)))) = join(meet(composition(converse(zero),X1),converse(sk1)),composition(meet(converse(zero),composition(converse(sk1),converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.0','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.680.0.2',plain,
% 1.39/1.80 ( composition(zero,meet(X1,composition(zero,converse(sk1)))) = join(meet(composition(converse(zero),X1),converse(sk1)),composition(meet(converse(zero),composition(converse(sk1),converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.1','0.72.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.680.0.3',plain,
% 1.39/1.80 ( composition(zero,meet(X1,zero)) = join(meet(composition(converse(zero),X1),converse(sk1)),composition(meet(converse(zero),composition(converse(sk1),converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.2','0.628.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2','L')]).
% 1.39/1.80 cnf('0.680.0.4',plain,
% 1.39/1.80 ( composition(zero,zero) = join(meet(composition(converse(zero),X1),converse(sk1)),composition(meet(converse(zero),composition(converse(sk1),converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.3','0.73.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.680.0.5',plain,
% 1.39/1.80 ( zero = join(meet(composition(converse(zero),X1),converse(sk1)),composition(meet(converse(zero),composition(converse(sk1),converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.4','0.637.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.680.0.6',plain,
% 1.39/1.80 ( zero = join(meet(composition(zero,X1),converse(sk1)),composition(meet(converse(zero),composition(converse(sk1),converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.5','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1.1.1','L')]).
% 1.39/1.80 cnf('0.680.0.7',plain,
% 1.39/1.80 ( zero = join(meet(composition(zero,X1),converse(sk1)),composition(meet(zero,composition(converse(sk1),converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.6','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1.1','L')]).
% 1.39/1.80 cnf('0.680.0.8',plain,
% 1.39/1.80 ( zero = join(meet(composition(zero,X1),converse(sk1)),composition(zero,meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.7','0.72.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1','L')]).
% 1.39/1.80 cnf('0.680.0.9',plain,
% 1.39/1.80 ( zero = join(meet(composition(zero,X1),converse(sk1)),composition(zero,zero)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.8','0.73.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.2','L')]).
% 1.39/1.80 cnf('0.680.0.10',plain,
% 1.39/1.80 ( zero = join(meet(composition(zero,X1),converse(sk1)),zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.9','0.637.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.680.0.11',plain,
% 1.39/1.80 ( zero = meet(composition(zero,X1),converse(sk1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.0.10','0.69.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.680.1.0',plain,
% 1.39/1.80 ( zero = meet(composition(zero,X1),converse(sk1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.680.0.11']),
% 1.39/1.80 [weight('<55,673,628,[1,0,0,17]>')]).
% 1.39/1.80 cnf('0.680.1.1',plain,
% 1.39/1.80 ( zero = meet(converse(sk1),composition(zero,X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.680.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.680.2.0',plain,
% 1.39/1.80 ( meet(converse(sk1),composition(zero,X1)) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.680.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_677]).
% 1.39/1.80 cnf('0.694.0.0',plain,
% 1.39/1.80 ( meet(converse(composition(zero,X1)),sk1) = converse(zero) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.358.2.0','0.680.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.694.0.1',plain,
% 1.39/1.80 ( meet(composition(converse(X1),zero),sk1) = converse(zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.694.0.0','0.87.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.694.0.2',plain,
% 1.39/1.80 ( meet(composition(converse(X1),zero),sk1) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.694.0.1','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.694.1.0',plain,
% 1.39/1.80 ( meet(composition(converse(X1),zero),sk1) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.694.0.2']),
% 1.39/1.80 [weight('<55,680,358,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.694.1.1',plain,
% 1.39/1.80 ( meet(sk1,composition(converse(X1),zero)) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.694.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.694.2.0',plain,
% 1.39/1.80 ( meet(sk1,composition(converse(X1),zero)) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.694.1.1',theory(equality)]),
% 1.39/1.80 [u,rule_691]).
% 1.39/1.80 cnf('0.695.0.0',plain,
% 1.39/1.80 ( zero = meet(sk1,composition(X1,zero)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.694.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.1','L')]).
% 1.39/1.80 cnf('0.695.1.0',plain,
% 1.39/1.80 ( zero = meet(sk1,composition(X1,zero)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.695.0.0']),
% 1.39/1.80 [weight('<41,694,3,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.695.2.0',plain,
% 1.39/1.80 ( meet(sk1,composition(X1,zero)) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.695.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_692]).
% 1.39/1.80 cnf('0.902.0.0',plain,
% 1.39/1.80 ( join(complement(composition(X1,zero)),sk1) = join(complement(composition(X1,zero)),zero) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.335.2.0','0.695.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.902.0.1',plain,
% 1.39/1.80 ( join(complement(composition(X1,zero)),sk1) = complement(composition(X1,zero)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.902.0.0','0.69.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.902.1.0',plain,
% 1.39/1.80 ( join(complement(composition(X1,zero)),sk1) = complement(composition(X1,zero)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.902.0.1']),
% 1.39/1.80 [weight('<76,695,335,[0,0,0,3]>')]).
% 1.39/1.80 cnf('0.902.1.1',plain,
% 1.39/1.80 ( join(sk1,complement(composition(X1,zero))) = complement(composition(X1,zero)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.902.1.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.902.2.0',plain,
% 1.39/1.80 ( join(sk1,complement(composition(X1,zero))) = complement(composition(X1,zero)) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.902.1.1',theory(equality)]),
% 1.39/1.80 [u,rule_899]).
% 1.39/1.80 cnf('0.916.0.0',plain,
% 1.39/1.80 ( composition(join(converse(sk1),X1),converse(sk1)) = join(converse(sk1),composition(X1,converse(sk1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.418.2.0','0.623.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.916.0.1',plain,
% 1.39/1.80 ( composition(join(converse(sk1),X1),converse(sk1)) = converse(sk1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.916.0.0','0.195.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.916.1.0',plain,
% 1.39/1.80 ( composition(join(converse(sk1),X1),converse(sk1)) = converse(sk1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.916.0.1']),
% 1.39/1.80 [weight('<79,623,418,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.916.2.0',plain,
% 1.39/1.80 ( composition(join(converse(sk1),X1),converse(sk1)) = converse(sk1) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.916.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_913]).
% 1.39/1.80 cnf('0.917.0.0',plain,
% 1.39/1.80 ( composition(sk1,converse(join(converse(sk1),X1))) = converse(converse(sk1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.31.2.0','0.916.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.917.0.1',plain,
% 1.39/1.80 ( composition(sk1,join(sk1,converse(X1))) = converse(converse(sk1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.917.0.0','0.47.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.917.0.2',plain,
% 1.39/1.80 ( composition(sk1,join(sk1,converse(X1))) = sk1 ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.917.0.1','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.917.1.0',plain,
% 1.39/1.80 ( composition(sk1,join(sk1,converse(X1))) = sk1 ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.917.0.2']),
% 1.39/1.80 [weight('<55,916,31,[0,0,0,1]>')]).
% 1.39/1.80 cnf('0.917.2.0',plain,
% 1.39/1.80 ( composition(sk1,join(sk1,converse(X1))) = sk1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.917.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_914]).
% 1.39/1.80 cnf('0.918.0.0',plain,
% 1.39/1.80 ( sk1 = composition(sk1,join(sk1,X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.917.2.0','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2','L')]).
% 1.39/1.80 cnf('0.918.1.0',plain,
% 1.39/1.80 ( sk1 = composition(sk1,join(sk1,X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.918.0.0']),
% 1.39/1.80 [weight('<41,917,3,[1,0,0,4]>')]).
% 1.39/1.80 cnf('0.918.2.0',plain,
% 1.39/1.80 ( composition(sk1,join(sk1,X1)) = sk1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.918.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_915]).
% 1.39/1.80 cnf('0.920.0.0',plain,
% 1.39/1.80 ( sk1 = composition(sk1,complement(composition(X1,zero))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.918.2.0','0.902.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.920.1.0',plain,
% 1.39/1.80 ( sk1 = composition(sk1,complement(composition(X1,zero))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.920.0.0']),
% 1.39/1.80 [weight('<55,918,902,[1,0,0,2]>')]).
% 1.39/1.80 cnf('0.920.2.0',plain,
% 1.39/1.80 ( composition(sk1,complement(composition(X1,zero))) = sk1 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.920.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_917]).
% 1.39/1.80 cnf('0.921.0.0',plain,
% 1.39/1.80 ( complement(complement(composition(X1,zero))) = join(complement(complement(composition(X1,zero))),composition(converse(sk1),complement(sk1))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.13.2.0','0.920.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.1','L')]).
% 1.39/1.80 cnf('0.921.0.1',plain,
% 1.39/1.80 ( composition(X1,zero) = join(complement(complement(composition(X1,zero))),composition(converse(sk1),complement(sk1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.921.0.0','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.921.0.2',plain,
% 1.39/1.80 ( composition(X1,zero) = join(composition(X1,zero),composition(converse(sk1),complement(sk1))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.921.0.1','0.71.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.921.0.3',plain,
% 1.39/1.80 ( composition(X1,zero) = join(composition(X1,zero),composition(top,zero)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.921.0.2','0.328.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.921.0.4',plain,
% 1.39/1.80 ( composition(X1,zero) = composition(join(X1,top),zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.921.0.3','0.5.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.921.0.5',plain,
% 1.39/1.80 ( composition(X1,zero) = composition(top,zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.921.0.4','0.60.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.921.1.0',plain,
% 1.39/1.80 ( composition(X1,zero) = composition(top,zero) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.921.0.5']),
% 1.39/1.80 [weight('<48,920,13,[0,0,0,7]>')]).
% 1.39/1.80 cnf('0.921.2.0',plain,
% 1.39/1.80 ( composition(X1,zero) = composition(top,zero) ),
% 1.39/1.80 inference(activate,[status(thm)],['0.921.1.0']),
% 1.39/1.80 [equation_4]).
% 1.39/1.80 cnf('0.921.2.2',plain,
% 1.39/1.80 ( composition(const2,zero) = composition(top,zero) ),
% 1.39/1.80 inference(instl,[status(thm)],['0.921.2.0',theory(equality)])).
% 1.39/1.80 cnf('0.922.0.0',plain,
% 1.39/1.80 ( composition(converse(zero),top) = converse(composition(X1,zero)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.85.2.0','0.921.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','R')]).
% 1.39/1.80 cnf('0.922.0.1',plain,
% 1.39/1.80 ( composition(zero,top) = converse(composition(X1,zero)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.922.0.0','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.922.0.2',plain,
% 1.39/1.80 ( composition(zero,sk2) = converse(composition(X1,zero)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.922.0.1','0.260.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.922.0.3',plain,
% 1.39/1.80 ( composition(zero,sk2) = composition(zero,converse(X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.922.0.2','0.86.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.922.1.0',plain,
% 1.39/1.80 ( composition(zero,sk2) = composition(zero,converse(X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.922.0.3']),
% 1.39/1.80 [weight('<39,921,85,[0,1,0,1]>')]).
% 1.39/1.80 cnf('0.922.2.0',plain,
% 1.39/1.80 ( composition(zero,converse(X1)) = composition(zero,sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.922.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_918]).
% 1.39/1.80 cnf('0.923.0.0',plain,
% 1.39/1.80 ( composition(zero,converse(sk1)) = zero ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.628.2.0'])).
% 1.39/1.80 cnf('0.923.0.1',plain,
% 1.39/1.80 ( composition(zero,sk2) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.923.0.0','0.922.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.923.1.0',plain,
% 1.39/1.80 ( composition(zero,sk2) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.923.0.1']),
% 1.39/1.80 [weight('<19,628,922,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.923.2.0',plain,
% 1.39/1.80 ( composition(zero,sk2) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.923.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_919]).
% 1.39/1.80 cnf('0.925.0.0',plain,
% 1.39/1.80 ( composition(zero,top) = composition(zero,sk2) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.260.2.0'])).
% 1.39/1.80 cnf('0.925.0.1',plain,
% 1.39/1.80 ( composition(zero,top) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.925.0.0','0.923.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.925.1.0',plain,
% 1.39/1.80 ( composition(zero,top) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.925.0.1']),
% 1.39/1.80 [weight('<19,260,923,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.925.2.0',plain,
% 1.39/1.80 ( composition(zero,top) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.925.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_921]).
% 1.39/1.80 cnf('0.927.0.0',plain,
% 1.39/1.80 ( composition(meet(converse(zero),composition(top,converse(X1))),meet(X1,composition(zero,top))) = join(meet(composition(converse(zero),X1),top),composition(meet(converse(zero),composition(top,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.673.2.0','0.925.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.2','L')]).
% 1.39/1.80 cnf('0.927.0.1',plain,
% 1.39/1.80 ( composition(meet(zero,composition(top,converse(X1))),meet(X1,composition(zero,top))) = join(meet(composition(converse(zero),X1),top),composition(meet(converse(zero),composition(top,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.0','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.927.0.2',plain,
% 1.39/1.80 ( composition(zero,meet(X1,composition(zero,top))) = join(meet(composition(converse(zero),X1),top),composition(meet(converse(zero),composition(top,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.1','0.72.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.927.0.3',plain,
% 1.39/1.80 ( composition(zero,meet(X1,zero)) = join(meet(composition(converse(zero),X1),top),composition(meet(converse(zero),composition(top,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.2','0.925.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2','L')]).
% 1.39/1.80 cnf('0.927.0.4',plain,
% 1.39/1.80 ( composition(zero,zero) = join(meet(composition(converse(zero),X1),top),composition(meet(converse(zero),composition(top,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.3','0.73.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.927.0.5',plain,
% 1.39/1.80 ( zero = join(meet(composition(converse(zero),X1),top),composition(meet(converse(zero),composition(top,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.4','0.637.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.927.0.6',plain,
% 1.39/1.80 ( zero = join(composition(converse(zero),X1),composition(meet(converse(zero),composition(top,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.5','0.76.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.927.0.7',plain,
% 1.39/1.80 ( zero = join(composition(zero,X1),composition(meet(converse(zero),composition(top,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.6','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1.1','L')]).
% 1.39/1.80 cnf('0.927.0.8',plain,
% 1.39/1.80 ( zero = join(composition(zero,X1),composition(meet(zero,composition(top,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.7','0.79.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1.1','L')]).
% 1.39/1.80 cnf('0.927.0.9',plain,
% 1.39/1.80 ( zero = join(composition(zero,X1),composition(zero,meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.8','0.72.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1','L')]).
% 1.39/1.80 cnf('0.927.0.10',plain,
% 1.39/1.80 ( zero = join(composition(zero,X1),composition(zero,zero)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.9','0.73.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.2','L')]).
% 1.39/1.80 cnf('0.927.0.11',plain,
% 1.39/1.80 ( zero = join(composition(zero,X1),zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.10','0.637.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.927.0.12',plain,
% 1.39/1.80 ( zero = composition(zero,X1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.927.0.11','0.69.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.927.1.0',plain,
% 1.39/1.80 ( zero = composition(zero,X1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.927.0.12']),
% 1.39/1.80 [weight('<19,925,673,[0,0,0,17]>')]).
% 1.39/1.80 cnf('0.927.2.0',plain,
% 1.39/1.80 ( composition(zero,X1) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.927.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_923]).
% 1.39/1.80 cnf('0.930.0.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk2)),sk2) = composition(zero,sk2) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.179.2.0'])).
% 1.39/1.80 cnf('0.930.0.1',plain,
% 1.39/1.80 ( composition(complement(converse(sk2)),sk2) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.930.0.0','0.923.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.930.1.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk2)),sk2) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.930.0.1']),
% 1.39/1.80 [weight('<41,179,923,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.930.2.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk2)),sk2) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.930.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_926]).
% 1.39/1.80 cnf('0.931.0.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = composition(zero,sk2) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.263.2.0'])).
% 1.39/1.80 cnf('0.931.0.1',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = zero ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.931.0.0','0.923.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.931.1.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = zero ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.931.0.1']),
% 1.39/1.80 [weight('<41,263,923,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.931.2.0',plain,
% 1.39/1.80 ( composition(complement(converse(sk1)),sk1) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.931.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_927]).
% 1.39/1.80 cnf('0.938.0.0',plain,
% 1.39/1.80 ( composition(meet(converse(complement(converse(sk2))),composition(sk2,converse(X1))),meet(X1,composition(complement(converse(sk2)),sk2))) = join(meet(composition(converse(complement(converse(sk2))),X1),sk2),composition(meet(converse(complement(converse(sk2))),composition(sk2,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.673.2.0','0.930.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.2','L')]).
% 1.39/1.80 cnf('0.938.0.1',plain,
% 1.39/1.80 ( composition(meet(complement(converse(converse(sk2))),composition(sk2,converse(X1))),meet(X1,composition(complement(converse(sk2)),sk2))) = join(meet(composition(converse(complement(converse(sk2))),X1),sk2),composition(meet(converse(complement(converse(sk2))),composition(sk2,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.0','0.342.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.938.0.2',plain,
% 1.39/1.80 ( composition(meet(complement(sk2),composition(sk2,converse(X1))),meet(X1,composition(complement(converse(sk2)),sk2))) = join(meet(composition(converse(complement(converse(sk2))),X1),sk2),composition(meet(converse(complement(converse(sk2))),composition(sk2,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.1','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1.1','L')]).
% 1.39/1.80 cnf('0.938.0.3',plain,
% 1.39/1.80 ( composition(zero,meet(X1,composition(complement(converse(sk2)),sk2))) = join(meet(composition(converse(complement(converse(sk2))),X1),sk2),composition(meet(converse(complement(converse(sk2))),composition(sk2,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.2','0.206.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.938.0.4',plain,
% 1.39/1.80 ( zero = join(meet(composition(converse(complement(converse(sk2))),X1),sk2),composition(meet(converse(complement(converse(sk2))),composition(sk2,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.3','0.927.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.938.0.5',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(converse(converse(sk2))),X1),sk2),composition(meet(converse(complement(converse(sk2))),composition(sk2,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.4','0.342.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1.1.1','L')]).
% 1.39/1.80 cnf('0.938.0.6',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(sk2),X1),sk2),composition(meet(converse(complement(converse(sk2))),composition(sk2,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.5','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1.1.1.1','L')]).
% 1.39/1.80 cnf('0.938.0.7',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(sk2),X1),sk2),composition(meet(complement(converse(converse(sk2))),composition(sk2,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.6','0.342.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1.1','L')]).
% 1.39/1.80 cnf('0.938.0.8',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(sk2),X1),sk2),composition(meet(complement(sk2),composition(sk2,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.7','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1.1.1','L')]).
% 1.39/1.80 cnf('0.938.0.9',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(sk2),X1),sk2),composition(zero,meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.8','0.206.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1','L')]).
% 1.39/1.80 cnf('0.938.0.10',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(sk2),X1),sk2),zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.9','0.927.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.938.0.11',plain,
% 1.39/1.80 ( zero = meet(composition(complement(sk2),X1),sk2) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.0.10','0.69.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.938.1.0',plain,
% 1.39/1.80 ( zero = meet(composition(complement(sk2),X1),sk2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.938.0.11']),
% 1.39/1.80 [weight('<55,930,673,[0,0,0,17]>')]).
% 1.39/1.80 cnf('0.938.1.1',plain,
% 1.39/1.80 ( zero = meet(sk2,composition(complement(sk2),X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.938.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.938.2.0',plain,
% 1.39/1.80 ( meet(sk2,composition(complement(sk2),X1)) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.938.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_934]).
% 1.39/1.80 cnf('0.939.0.0',plain,
% 1.39/1.80 ( composition(meet(converse(complement(converse(sk1))),composition(sk1,converse(X1))),meet(X1,composition(complement(converse(sk1)),sk1))) = join(meet(composition(converse(complement(converse(sk1))),X1),sk1),composition(meet(converse(complement(converse(sk1))),composition(sk1,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.673.2.0','0.931.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2.2.2','L')]).
% 1.39/1.80 cnf('0.939.0.1',plain,
% 1.39/1.80 ( composition(meet(complement(converse(converse(sk1))),composition(sk1,converse(X1))),meet(X1,composition(complement(converse(sk1)),sk1))) = join(meet(composition(converse(complement(converse(sk1))),X1),sk1),composition(meet(converse(complement(converse(sk1))),composition(sk1,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.0','0.342.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.939.0.2',plain,
% 1.39/1.80 ( composition(meet(complement(sk1),composition(sk1,converse(X1))),meet(X1,composition(complement(converse(sk1)),sk1))) = join(meet(composition(converse(complement(converse(sk1))),X1),sk1),composition(meet(converse(complement(converse(sk1))),composition(sk1,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.1','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1.1','L')]).
% 1.39/1.80 cnf('0.939.0.3',plain,
% 1.39/1.80 ( composition(zero,meet(X1,composition(complement(converse(sk1)),sk1))) = join(meet(composition(converse(complement(converse(sk1))),X1),sk1),composition(meet(converse(complement(converse(sk1))),composition(sk1,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.2','0.200.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.939.0.4',plain,
% 1.39/1.80 ( zero = join(meet(composition(converse(complement(converse(sk1))),X1),sk1),composition(meet(converse(complement(converse(sk1))),composition(sk1,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.3','0.927.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.939.0.5',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(converse(converse(sk1))),X1),sk1),composition(meet(converse(complement(converse(sk1))),composition(sk1,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.4','0.342.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1.1.1','L')]).
% 1.39/1.80 cnf('0.939.0.6',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(sk1),X1),sk1),composition(meet(converse(complement(converse(sk1))),composition(sk1,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.5','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1.1.1.1','L')]).
% 1.39/1.80 cnf('0.939.0.7',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(sk1),X1),sk1),composition(meet(complement(converse(converse(sk1))),composition(sk1,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.6','0.342.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1.1','L')]).
% 1.39/1.80 cnf('0.939.0.8',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(sk1),X1),sk1),composition(meet(complement(sk1),composition(sk1,converse(X1))),meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.7','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1.1.1','L')]).
% 1.39/1.80 cnf('0.939.0.9',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(sk1),X1),sk1),composition(zero,meet(X1,zero))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.8','0.200.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2.1','L')]).
% 1.39/1.80 cnf('0.939.0.10',plain,
% 1.39/1.80 ( zero = join(meet(composition(complement(sk1),X1),sk1),zero) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.9','0.927.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.939.0.11',plain,
% 1.39/1.80 ( zero = meet(composition(complement(sk1),X1),sk1) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.0.10','0.69.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.939.1.0',plain,
% 1.39/1.80 ( zero = meet(composition(complement(sk1),X1),sk1) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.939.0.11']),
% 1.39/1.80 [weight('<55,931,673,[0,0,0,17]>')]).
% 1.39/1.80 cnf('0.939.1.1',plain,
% 1.39/1.80 ( zero = meet(sk1,composition(complement(sk1),X1)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.939.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.939.2.0',plain,
% 1.39/1.80 ( meet(sk1,composition(complement(sk1),X1)) = zero ),
% 1.39/1.80 inference(orient,[status(thm)],['0.939.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_935]).
% 1.39/1.80 cnf('0.998.0.0',plain,
% 1.39/1.80 ( join(complement(sk2),composition(complement(sk2),X1)) = join(complement(sk2),zero) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.307.2.0','0.938.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.998.0.1',plain,
% 1.39/1.80 ( join(complement(sk2),composition(complement(sk2),X1)) = complement(sk2) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.998.0.0','0.69.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.998.1.0',plain,
% 1.39/1.80 ( join(complement(sk2),composition(complement(sk2),X1)) = complement(sk2) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.998.0.1']),
% 1.39/1.80 [weight('<79,938,307,[0,0,0,3]>')]).
% 1.39/1.80 cnf('0.998.2.0',plain,
% 1.39/1.80 ( join(complement(sk2),composition(complement(sk2),X1)) = complement(sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.998.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_994]).
% 1.39/1.80 cnf('0.1077.0.0',plain,
% 1.39/1.80 ( X1 = meet(join(X2,X1),join(complement(X2),X1)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.588.2.0','0.10.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.1077.1.0',plain,
% 1.39/1.80 ( X1 = meet(join(X2,X1),join(complement(X2),X1)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.1077.0.0']),
% 1.39/1.80 [weight('<89,588,10,[1,0,0,4]>')]).
% 1.39/1.80 cnf('0.1077.2.0',plain,
% 1.39/1.80 ( meet(join(X1,X2),join(complement(X1),X2)) = X2 ),
% 1.39/1.80 inference(orient,[status(thm)],['0.1077.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_1073]).
% 1.39/1.80 cnf('0.1079.0.0',plain,
% 1.39/1.80 ( composition(complement(sk2),top) = meet(composition(top,top),join(complement(sk2),composition(complement(sk2),top))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.1077.2.0','0.133.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.1079.0.1',plain,
% 1.39/1.80 ( composition(complement(sk2),top) = meet(composition(top,top),complement(sk2)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1079.0.0','0.998.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.2','L')]).
% 1.39/1.80 cnf('0.1079.1.0',plain,
% 1.39/1.80 ( composition(complement(sk2),top) = meet(composition(top,top),complement(sk2)) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.1079.0.1']),
% 1.39/1.80 [weight('<76,1077,133,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.1079.1.1',plain,
% 1.39/1.80 ( composition(complement(sk2),top) = meet(complement(sk2),composition(top,top)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1079.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.1079.2.0',plain,
% 1.39/1.80 ( meet(complement(sk2),composition(top,top)) = composition(complement(sk2),top) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.1079.1.1',theory(equality)]),
% 1.39/1.80 [x,rule_1075]).
% 1.39/1.80 cnf('0.1225.0.0',plain,
% 1.39/1.80 ( composition(top,converse(join(sk1,X1))) = converse(join(sk1,composition(X1,top))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.82.2.0','0.52.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.1225.1.0',plain,
% 1.39/1.80 ( composition(top,converse(join(sk1,X1))) = converse(join(sk1,composition(X1,top))) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.1225.0.0']),
% 1.39/1.80 [weight('<90,82,52,[1,0,0,1]>')]).
% 1.39/1.80 cnf('0.1225.2.0',plain,
% 1.39/1.80 ( converse(join(sk1,composition(X1,top))) = composition(top,converse(join(sk1,X1))) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.1225.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_1219]).
% 1.39/1.80 cnf('0.1226.0.0',plain,
% 1.39/1.80 ( composition(top,converse(join(sk1,one))) = converse(join(sk1,top)) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.1225.2.0','0.35.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.2','L')]).
% 1.39/1.80 cnf('0.1226.0.1',plain,
% 1.39/1.80 ( composition(top,join(one,converse(sk1))) = converse(join(sk1,top)) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1226.0.0','0.37.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.1226.0.2',plain,
% 1.39/1.80 ( composition(top,join(one,converse(sk1))) = converse(top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1226.0.1','0.60.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.1226.0.3',plain,
% 1.39/1.80 ( composition(top,join(one,converse(sk1))) = top ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1226.0.2','0.63.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.1226.1.0',plain,
% 1.39/1.80 ( composition(top,join(one,converse(sk1))) = top ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.1226.0.3']),
% 1.39/1.80 [weight('<55,1225,35,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.1226.2.0',plain,
% 1.39/1.80 ( composition(top,join(one,converse(sk1))) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.1226.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_1220]).
% 1.39/1.80 cnf('0.1231.0.0',plain,
% 1.39/1.80 ( composition(join(converse(join(one,converse(sk1))),X1),converse(top)) = join(converse(top),composition(X1,converse(top))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.418.2.0','0.1226.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.1231.0.1',plain,
% 1.39/1.80 ( composition(join(join(one,converse(converse(sk1))),X1),converse(top)) = join(converse(top),composition(X1,converse(top))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1231.0.0','0.36.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.1231.0.2',plain,
% 1.39/1.80 ( composition(join(one,join(converse(converse(sk1)),X1)),converse(top)) = join(converse(top),composition(X1,converse(top))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1231.0.1','0.11.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1','L')]).
% 1.39/1.80 cnf('0.1231.0.3',plain,
% 1.39/1.80 ( composition(join(one,join(sk1,X1)),converse(top)) = join(converse(top),composition(X1,converse(top))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1231.0.2','0.3.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.2.1','L')]).
% 1.39/1.80 cnf('0.1231.0.4',plain,
% 1.39/1.80 ( composition(join(one,join(sk1,X1)),top) = join(converse(top),composition(X1,converse(top))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1231.0.3','0.63.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.1231.0.5',plain,
% 1.39/1.80 ( composition(join(one,join(sk1,X1)),top) = join(top,composition(X1,converse(top))) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1231.0.4','0.63.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.1231.0.6',plain,
% 1.39/1.80 ( composition(join(one,join(sk1,X1)),top) = top ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1231.0.5','0.62.2.0',theory(equality)]),
% 1.39/1.80 [pos('R','L')]).
% 1.39/1.80 cnf('0.1231.1.0',plain,
% 1.39/1.80 ( composition(join(one,join(sk1,X1)),top) = top ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.1231.0.6']),
% 1.39/1.80 [weight('<71,1226,418,[0,0,0,2]>')]).
% 1.39/1.80 cnf('0.1231.2.0',plain,
% 1.39/1.80 ( composition(join(one,join(sk1,X1)),top) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.1231.1.0',theory(equality)]),
% 1.39/1.80 [u,rule_1225]).
% 1.39/1.80 cnf('0.1232.0.0',plain,
% 1.39/1.80 ( top = composition(join(one,top),top) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.1231.2.0','0.12.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.2','L')]).
% 1.39/1.80 cnf('0.1232.0.1',plain,
% 1.39/1.80 ( top = composition(top,top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1232.0.0','0.60.2.0',theory(equality)]),
% 1.39/1.80 [pos('R.1','L')]).
% 1.39/1.80 cnf('0.1232.1.0',plain,
% 1.39/1.80 ( top = composition(top,top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.1232.0.1']),
% 1.39/1.80 [weight('<19,1231,12,[1,0,0,3]>')]).
% 1.39/1.80 cnf('0.1232.2.0',plain,
% 1.39/1.80 ( composition(top,top) = top ),
% 1.39/1.80 inference(orient,[status(thm)],['0.1232.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_1226]).
% 1.39/1.80 cnf('0.1235.0.0',plain,
% 1.39/1.80 ( meet(complement(sk2),composition(top,top)) = composition(complement(sk2),top) ),
% 1.39/1.80 inference(interreduction_right,[status(thm)],['0.1079.2.0'])).
% 1.39/1.80 cnf('0.1235.0.1',plain,
% 1.39/1.80 ( meet(complement(sk2),top) = composition(complement(sk2),top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1235.0.0','0.1232.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.2','L')]).
% 1.39/1.80 cnf('0.1235.0.2',plain,
% 1.39/1.80 ( complement(sk2) = composition(complement(sk2),top) ),
% 1.39/1.80 inference(reduction,[status(thm)],['0.1235.0.1','0.76.2.0',theory(equality)]),
% 1.39/1.80 [pos('L','L')]).
% 1.39/1.80 cnf('0.1235.1.0',plain,
% 1.39/1.80 ( complement(sk2) = composition(complement(sk2),top) ),
% 1.39/1.80 inference(weigh,[status(thm)],['0.1235.0.2']),
% 1.39/1.80 [weight('<34,1079,1232,[0,0,0,0]>')]).
% 1.39/1.80 cnf('0.1235.2.0',plain,
% 1.39/1.80 ( composition(complement(sk2),top) = complement(sk2) ),
% 1.39/1.80 inference(orient,[status(thm)],['0.1235.1.0',theory(equality)]),
% 1.39/1.80 [x,rule_1229]).
% 1.39/1.80 cnf('0.1236.0.0',plain,
% 1.39/1.80 ( meet(X1,composition(meet(top,composition(X1,converse(top))),top)) = join(meet(top,X1),meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 1.39/1.80 inference(cp,[status(thm)],['0.163.2.0','0.1232.2.0',theory(equality)]),
% 1.39/1.80 [pos('L.1.1','L')]).
% 1.39/1.80 cnf('0.1236.0.1',plain,
% 1.39/1.80 ( meet(X1,composition(composition(X1,converse(top)),top)) = join(meet(top,X1),meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1236.0.0','0.75.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.1','L')]).
% 1.39/1.81 cnf('0.1236.0.2',plain,
% 1.39/1.81 ( meet(X1,composition(X1,composition(converse(top),top))) = join(meet(top,X1),meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1236.0.1','0.4.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.1236.0.3',plain,
% 1.39/1.81 ( meet(X1,composition(X1,composition(top,top))) = join(meet(top,X1),meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1236.0.2','0.63.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.2.1','L')]).
% 1.39/1.81 cnf('0.1236.0.4',plain,
% 1.39/1.81 ( meet(X1,composition(X1,top)) = join(meet(top,X1),meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1236.0.3','0.1232.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.2','L')]).
% 1.39/1.81 cnf('0.1236.0.5',plain,
% 1.39/1.81 ( meet(X1,composition(X1,top)) = join(X1,meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1236.0.4','0.75.2.0',theory(equality)]),
% 1.39/1.81 [pos('R.1','L')]).
% 1.39/1.81 cnf('0.1236.0.6',plain,
% 1.39/1.81 ( meet(X1,composition(X1,top)) = X1 ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1236.0.5','0.91.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.1236.1.0',plain,
% 1.39/1.81 ( meet(X1,composition(X1,top)) = X1 ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.1236.0.6']),
% 1.39/1.81 [weight('<41,1232,163,[0,0,0,2]>')]).
% 1.39/1.81 cnf('0.1236.2.0',plain,
% 1.39/1.81 ( meet(X1,composition(X1,top)) = X1 ),
% 1.39/1.81 inference(orient,[status(thm)],['0.1236.1.0',theory(equality)]),
% 1.39/1.81 [u,rule_1230]).
% 1.39/1.81 cnf('0.1237.0.0',plain,
% 1.39/1.81 ( meet(converse(composition(converse(X1),top)),X1) = converse(converse(X1)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.358.2.0','0.1236.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.1','L')]).
% 1.39/1.81 cnf('0.1237.0.1',plain,
% 1.39/1.81 ( meet(composition(converse(top),X1),X1) = converse(converse(X1)) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1237.0.0','0.32.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.1','L')]).
% 1.39/1.81 cnf('0.1237.0.2',plain,
% 1.39/1.81 ( meet(composition(top,X1),X1) = converse(converse(X1)) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1237.0.1','0.63.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.1.1','L')]).
% 1.39/1.81 cnf('0.1237.0.3',plain,
% 1.39/1.81 ( meet(composition(top,X1),X1) = X1 ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1237.0.2','0.3.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.1237.1.0',plain,
% 1.39/1.81 ( meet(composition(top,X1),X1) = X1 ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.1237.0.3']),
% 1.39/1.81 [weight('<41,1236,358,[0,0,0,1]>')]).
% 1.39/1.81 cnf('0.1237.1.1',plain,
% 1.39/1.81 ( meet(X1,composition(top,X1)) = X1 ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1237.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.81 [pos('L','L')]).
% 1.39/1.81 cnf('0.1237.2.0',plain,
% 1.39/1.81 ( meet(X1,composition(top,X1)) = X1 ),
% 1.39/1.81 inference(orient,[status(thm)],['0.1237.1.1',theory(equality)]),
% 1.39/1.81 [u,rule_1231]).
% 1.39/1.81 cnf('0.1242.0.0',plain,
% 1.39/1.81 ( composition(top,X1) = join(composition(top,X1),X1) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.92.2.0','0.1237.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.1242.1.0',plain,
% 1.39/1.81 ( composition(top,X1) = join(composition(top,X1),X1) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.1242.0.0']),
% 1.39/1.81 [weight('<53,1237,92,[0,0,0,2]>')]).
% 1.39/1.81 cnf('0.1242.1.1',plain,
% 1.39/1.81 ( composition(top,X1) = join(X1,composition(top,X1)) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1242.1.0','0.10.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.1242.2.0',plain,
% 1.39/1.81 ( join(X1,composition(top,X1)) = composition(top,X1) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.1242.1.1',theory(equality)]),
% 1.39/1.81 [x,rule_1236]).
% 1.39/1.81 cnf('0.1387.0.0',plain,
% 1.39/1.81 ( complement(converse(X1)) = join(complement(converse(X1)),composition(converse(converse(X2)),complement(converse(composition(X1,X2))))) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.13.2.0','0.6.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.2.1','L')]).
% 1.39/1.81 cnf('0.1387.0.1',plain,
% 1.39/1.81 ( complement(converse(X1)) = join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1387.0.0','0.3.2.0',theory(equality)]),
% 1.39/1.81 [pos('R.2.1','L')]).
% 1.39/1.81 cnf('0.1387.1.0',plain,
% 1.39/1.81 ( complement(converse(X1)) = join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.1387.0.1']),
% 1.39/1.81 [weight('<?,13,6,[1,0,0,7]>')]).
% 1.39/1.81 cnf('0.1387.2.0',plain,
% 1.39/1.81 ( join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) = complement(converse(X1)) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.1387.1.0',theory(equality)]),
% 1.39/1.81 [x,rule_1381]).
% 1.39/1.81 cnf('0.1497.0.0',plain,
% 1.39/1.81 ( composition(join(complement(sk2),X1),top) = join(complement(sk2),composition(X1,top)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.5.2.0','0.1235.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.1','L')]).
% 1.39/1.81 cnf('0.1497.1.0',plain,
% 1.39/1.81 ( composition(join(complement(sk2),X1),top) = join(complement(sk2),composition(X1,top)) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.1497.0.0']),
% 1.39/1.81 [weight('<90,1235,5,[0,0,0,1]>')]).
% 1.39/1.81 cnf('0.1497.2.0',plain,
% 1.39/1.81 ( composition(join(complement(sk2),X1),top) = join(complement(sk2),composition(X1,top)) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.1497.1.0',theory(equality)]),
% 1.39/1.81 [u,rule_1491]).
% 1.39/1.81 cnf('0.1521.0.0',plain,
% 1.39/1.81 ( meet(complement(sk1),composition(complement(sk1),X1)) = meet(composition(complement(sk1),X1),complement(zero)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.337.2.0','0.939.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.1','L')]).
% 1.39/1.81 cnf('0.1521.0.1',plain,
% 1.39/1.81 ( meet(complement(sk1),composition(complement(sk1),X1)) = meet(composition(complement(sk1),X1),top) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1521.0.0','0.67.2.0',theory(equality)]),
% 1.39/1.81 [pos('R.2','L')]).
% 1.39/1.81 cnf('0.1521.0.2',plain,
% 1.39/1.81 ( meet(complement(sk1),composition(complement(sk1),X1)) = composition(complement(sk1),X1) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1521.0.1','0.76.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.1521.1.0',plain,
% 1.39/1.81 ( meet(complement(sk1),composition(complement(sk1),X1)) = composition(complement(sk1),X1) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.1521.0.2']),
% 1.39/1.81 [weight('<95,939,337,[0,0,0,3]>')]).
% 1.39/1.81 cnf('0.1521.2.0',plain,
% 1.39/1.81 ( meet(complement(sk1),composition(complement(sk1),X1)) = composition(complement(sk1),X1) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.1521.1.0',theory(equality)]),
% 1.39/1.81 [u,rule_1515]).
% 1.39/1.81 cnf('0.1579.0.0',plain,
% 1.39/1.81 ( join(sk1,composition(X1,X2)) = join(sk1,composition(join(sk1,X1),X2)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.392.2.0','0.5.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.1579.1.0',plain,
% 1.39/1.81 ( join(sk1,composition(X1,X2)) = join(sk1,composition(join(sk1,X1),X2)) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.1579.0.0']),
% 1.39/1.81 [weight('<103,392,5,[1,0,0,2]>')]).
% 1.39/1.81 cnf('0.1579.2.0',plain,
% 1.39/1.81 ( join(sk1,composition(join(sk1,X1),X2)) = join(sk1,composition(X1,X2)) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.1579.1.0',theory(equality)]),
% 1.39/1.81 [x,rule_1573]).
% 1.39/1.81 cnf('0.1580.0.0',plain,
% 1.39/1.81 ( join(sk1,composition(complement(sk1),X1)) = join(sk1,composition(top,X1)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.1579.2.0','0.12.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.1','L')]).
% 1.39/1.81 cnf('0.1580.1.0',plain,
% 1.39/1.81 ( join(sk1,composition(complement(sk1),X1)) = join(sk1,composition(top,X1)) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.1580.0.0']),
% 1.39/1.81 [weight('<83,1579,12,[1,0,0,3]>')]).
% 1.39/1.81 cnf('0.1580.2.0',plain,
% 1.39/1.81 ( join(sk1,composition(complement(sk1),X1)) = join(sk1,composition(top,X1)) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.1580.1.0',theory(equality)]),
% 1.39/1.81 [u,rule_1574]).
% 1.39/1.81 cnf('0.1581.0.0',plain,
% 1.39/1.81 ( meet(complement(sk1),composition(complement(sk1),X1)) = meet(complement(sk1),join(sk1,composition(top,X1))) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.338.2.0','0.1580.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.1581.0.1',plain,
% 1.39/1.81 ( composition(complement(sk1),X1) = meet(complement(sk1),join(sk1,composition(top,X1))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1581.0.0','0.1521.2.0',theory(equality)]),
% 1.39/1.81 [pos('L','L')]).
% 1.39/1.81 cnf('0.1581.0.2',plain,
% 1.39/1.81 ( composition(complement(sk1),X1) = meet(complement(sk1),composition(top,X1)) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1581.0.1','0.338.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.1581.1.0',plain,
% 1.39/1.81 ( composition(complement(sk1),X1) = meet(complement(sk1),composition(top,X1)) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.1581.0.2']),
% 1.39/1.81 [weight('<76,1580,338,[0,0,0,3]>')]).
% 1.39/1.81 cnf('0.1581.2.0',plain,
% 1.39/1.81 ( meet(complement(sk1),composition(top,X1)) = composition(complement(sk1),X1) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.1581.1.0',theory(equality)]),
% 1.39/1.81 [x,rule_1575]).
% 1.39/1.81 cnf('0.1895.0.0',plain,
% 1.39/1.81 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,join(meet(X1,X2),X3)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.291.2.0','0.305.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.1895.0.1',plain,
% 1.39/1.81 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.1895.0.0','0.291.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.1895.1.0',plain,
% 1.39/1.81 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.1895.0.1']),
% 1.39/1.81 [weight('<107,305,291,[0,0,0,2]>')]).
% 1.39/1.81 cnf('0.1895.2.0',plain,
% 1.39/1.81 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.1895.1.0',theory(equality)]),
% 1.39/1.81 [u,rule_1889]).
% 1.39/1.81 cnf('0.2125.0.0',plain,
% 1.39/1.81 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.1895.2.0','0.130.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.1','L')]).
% 1.39/1.81 cnf('0.2125.1.0',plain,
% 1.39/1.81 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.2125.0.0']),
% 1.39/1.81 [weight('<107,1895,130,[1,0,0,3]>')]).
% 1.39/1.81 cnf('0.2125.2.0',plain,
% 1.39/1.81 ( join(X1,meet(join(X2,complement(X1)),X3)) = join(X1,X3) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.2125.1.0',theory(equality)]),
% 1.39/1.81 [x,rule_2119]).
% 1.39/1.81 cnf('0.2126.0.0',plain,
% 1.39/1.81 ( meet(meet(join(X1,complement(complement(X2))),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.310.2.0','0.2125.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.2126.0.1',plain,
% 1.39/1.81 ( meet(meet(join(X1,X2),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2126.0.0','0.71.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.1.1.2','L')]).
% 1.39/1.81 cnf('0.2126.0.2',plain,
% 1.39/1.81 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2126.0.1','0.310.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.2126.1.0',plain,
% 1.39/1.81 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.2126.0.2']),
% 1.39/1.81 [weight('<87,2125,310,[0,0,0,2]>')]).
% 1.39/1.81 cnf('0.2126.1.1',plain,
% 1.39/1.81 ( meet(X2,meet(join(X1,X2),X3)) = meet(X3,X2) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2126.1.0','0.22.2.0',theory(equality)]),
% 1.39/1.81 [pos('L','L')]).
% 1.39/1.81 cnf('0.2126.2.0',plain,
% 1.39/1.81 ( meet(X1,meet(join(X2,X1),X3)) = meet(X3,X1) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.2126.1.1',theory(equality)]),
% 1.39/1.81 [u,rule_2120]).
% 1.39/1.81 cnf('0.2127.0.0',plain,
% 1.39/1.81 ( meet(X1,X2) = meet(X2,meet(join(X2,X3),X1)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.2126.2.0','0.10.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.1','L')]).
% 1.39/1.81 cnf('0.2127.1.0',plain,
% 1.39/1.81 ( meet(X1,X2) = meet(X2,meet(join(X2,X3),X1)) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.2127.0.0']),
% 1.39/1.81 [weight('<87,2126,10,[1,0,0,3]>')]).
% 1.39/1.81 cnf('0.2127.2.0',plain,
% 1.39/1.81 ( meet(X1,meet(join(X1,X2),X3)) = meet(X3,X1) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.2127.1.0',theory(equality)]),
% 1.39/1.81 [x,rule_2121]).
% 1.39/1.81 cnf('0.2129.0.0',plain,
% 1.39/1.81 ( meet(X1,X2) = meet(X2,meet(X1,join(X2,X3))) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.2127.2.0','0.22.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.2129.1.0',plain,
% 1.39/1.81 ( meet(X1,X2) = meet(X2,meet(X1,join(X2,X3))) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.2129.0.0']),
% 1.39/1.81 [weight('<87,2127,22,[1,0,0,2]>')]).
% 1.39/1.81 cnf('0.2129.2.0',plain,
% 1.39/1.81 ( meet(X1,meet(X2,join(X1,X3))) = meet(X2,X1) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.2129.1.0',theory(equality)]),
% 1.39/1.81 [x,rule_2123]).
% 1.39/1.81 cnf('0.2135.0.0',plain,
% 1.39/1.81 ( meet(X1,X2) = meet(X2,meet(X1,composition(top,X2))) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.2129.2.0','0.1242.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.2','L')]).
% 1.39/1.81 cnf('0.2135.1.0',plain,
% 1.39/1.81 ( meet(X1,X2) = meet(X2,meet(X1,composition(top,X2))) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.2135.0.0']),
% 1.39/1.81 [weight('<87,2129,1242,[1,0,0,4]>')]).
% 1.39/1.81 cnf('0.2135.2.0',plain,
% 1.39/1.81 ( meet(X1,meet(X2,composition(top,X1))) = meet(X2,X1) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.2135.1.0',theory(equality)]),
% 1.39/1.81 [x,rule_2129]).
% 1.39/1.81 cnf('0.2136.0.0',plain,
% 1.39/1.81 ( meet(complement(sk1),X1) = meet(X1,composition(complement(sk1),X1)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.2135.2.0','0.1581.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.2136.1.0',plain,
% 1.39/1.81 ( meet(complement(sk1),X1) = meet(X1,composition(complement(sk1),X1)) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.2136.0.0']),
% 1.39/1.81 [weight('<76,2135,1581,[1,0,0,2]>')]).
% 1.39/1.81 cnf('0.2136.2.0',plain,
% 1.39/1.81 ( meet(X1,composition(complement(sk1),X1)) = meet(complement(sk1),X1) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.2136.1.0',theory(equality)]),
% 1.39/1.81 [x,rule_2130]).
% 1.39/1.81 cnf('0.2145.0.0',plain,
% 1.39/1.81 ( join(complement(X1),composition(complement(sk1),X1)) = join(complement(X1),meet(complement(sk1),X1)) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.307.2.0','0.2136.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.2145.0.1',plain,
% 1.39/1.81 ( join(complement(X1),composition(complement(sk1),X1)) = join(complement(X1),complement(sk1)) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2145.0.0','0.335.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.2145.0.2',plain,
% 1.39/1.81 ( join(complement(X1),composition(complement(sk1),X1)) = complement(meet(X1,sk1)) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2145.0.1','0.131.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.2145.1.0',plain,
% 1.39/1.81 ( join(complement(X1),composition(complement(sk1),X1)) = complement(meet(X1,sk1)) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.2145.0.2']),
% 1.39/1.81 [weight('<95,2136,307,[0,0,0,3]>')]).
% 1.39/1.81 cnf('0.2145.2.0',plain,
% 1.39/1.81 ( join(complement(X1),composition(complement(sk1),X1)) = complement(meet(X1,sk1)) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.2145.1.0',theory(equality)]),
% 1.39/1.81 [u,rule_2139]).
% 1.39/1.81 cnf('0.2146.0.0',plain,
% 1.39/1.81 ( join(complement(sk2),composition(composition(complement(sk1),sk2),top)) = composition(complement(meet(sk2,sk1)),top) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.1497.2.0','0.2145.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.1','L')]).
% 1.39/1.81 cnf('0.2146.0.1',plain,
% 1.39/1.81 ( join(complement(sk2),composition(complement(sk1),composition(sk2,top))) = composition(complement(meet(sk2,sk1)),top) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2146.0.0','0.4.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.2146.0.2',plain,
% 1.39/1.81 ( join(complement(sk2),composition(complement(sk1),sk2)) = composition(complement(meet(sk2,sk1)),top) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2146.0.1','0.9.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.2','L')]).
% 1.39/1.81 cnf('0.2146.0.3',plain,
% 1.39/1.81 ( complement(meet(sk2,sk1)) = composition(complement(meet(sk2,sk1)),top) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2146.0.2','0.2145.2.0',theory(equality)]),
% 1.39/1.81 [pos('L','L')]).
% 1.39/1.81 cnf('0.2146.1.0',plain,
% 1.39/1.81 ( complement(meet(sk2,sk1)) = composition(complement(meet(sk2,sk1)),top) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.2146.0.3']),
% 1.39/1.81 [weight('<76,2145,1497,[0,0,0,1]>')]).
% 1.39/1.81 cnf('0.2146.2.0',plain,
% 1.39/1.81 ( composition(complement(meet(sk2,sk1)),top) = complement(meet(sk2,sk1)) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.2146.1.0',theory(equality)]),
% 1.39/1.81 [x,rule_2140]).
% 1.39/1.81 cnf('0.2147.0.0',plain,
% 1.39/1.81 ( complement(converse(complement(meet(sk2,sk1)))) = join(complement(converse(complement(meet(sk2,sk1)))),composition(top,complement(converse(complement(meet(sk2,sk1)))))) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.1387.2.0','0.2146.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2.2.1.1','L')]).
% 1.39/1.81 cnf('0.2147.0.1',plain,
% 1.39/1.81 ( complement(complement(converse(meet(sk2,sk1)))) = join(complement(converse(complement(meet(sk2,sk1)))),composition(top,complement(converse(complement(meet(sk2,sk1)))))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2147.0.0','0.342.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.1','L')]).
% 1.39/1.81 cnf('0.2147.0.2',plain,
% 1.39/1.81 ( converse(meet(sk2,sk1)) = join(complement(converse(complement(meet(sk2,sk1)))),composition(top,complement(converse(complement(meet(sk2,sk1)))))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2147.0.1','0.71.2.0',theory(equality)]),
% 1.39/1.81 [pos('L','L')]).
% 1.39/1.81 cnf('0.2147.0.3',plain,
% 1.39/1.81 ( converse(meet(sk2,sk1)) = composition(top,complement(converse(complement(meet(sk2,sk1))))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2147.0.2','0.1242.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.2147.0.4',plain,
% 1.39/1.81 ( converse(meet(sk2,sk1)) = composition(top,complement(complement(converse(meet(sk2,sk1))))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2147.0.3','0.342.2.0',theory(equality)]),
% 1.39/1.81 [pos('R.2.1','L')]).
% 1.39/1.81 cnf('0.2147.0.5',plain,
% 1.39/1.81 ( converse(meet(sk2,sk1)) = composition(top,converse(meet(sk2,sk1))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2147.0.4','0.71.2.0',theory(equality)]),
% 1.39/1.81 [pos('R.2','L')]).
% 1.39/1.81 cnf('0.2147.1.0',plain,
% 1.39/1.81 ( converse(meet(sk2,sk1)) = composition(top,converse(meet(sk2,sk1))) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.2147.0.5']),
% 1.39/1.81 [weight('<76,2146,1387,[0,0,0,8]>')]).
% 1.39/1.81 cnf('0.2147.2.0',plain,
% 1.39/1.81 ( composition(top,converse(meet(sk2,sk1))) = converse(meet(sk2,sk1)) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.2147.1.0',theory(equality)]),
% 1.39/1.81 [x,rule_2141]).
% 1.39/1.81 cnf('0.2148.0.0',plain,
% 1.39/1.81 ( composition(meet(sk2,sk1),converse(top)) = converse(converse(meet(sk2,sk1))) ),
% 1.39/1.81 inference(cp,[status(thm)],['0.31.2.0','0.2147.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.1','L')]).
% 1.39/1.81 cnf('0.2148.0.1',plain,
% 1.39/1.81 ( composition(meet(sk2,sk1),top) = converse(converse(meet(sk2,sk1))) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2148.0.0','0.63.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.2','L')]).
% 1.39/1.81 cnf('0.2148.0.2',plain,
% 1.39/1.81 ( composition(meet(sk2,sk1),top) = meet(sk2,sk1) ),
% 1.39/1.81 inference(reduction,[status(thm)],['0.2148.0.1','0.3.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('0.2148.1.0',plain,
% 1.39/1.81 ( composition(meet(sk2,sk1),top) = meet(sk2,sk1) ),
% 1.39/1.81 inference(weigh,[status(thm)],['0.2148.0.2']),
% 1.39/1.81 [weight('<53,2147,31,[0,0,0,1]>')]).
% 1.39/1.81 cnf('0.2148.2.0',plain,
% 1.39/1.81 ( composition(meet(sk2,sk1),top) = meet(sk2,sk1) ),
% 1.39/1.81 inference(orient,[status(thm)],['0.2148.1.0',theory(equality)]),
% 1.39/1.81 [u,rule_2142]).
% 1.39/1.81 cnf('1.0.0.0',conjecture,
% 1.39/1.81 ( composition(meet(sk1,sk2),top) = meet(sk1,sk2) ),
% 1.39/1.81 file('/tmp/WALDMEISTER_8322_n011',conjecture_1)).
% 1.39/1.81 cnf('1.0.0.1',plain,
% 1.39/1.81 ( composition(meet(sk1,sk2),top) = meet(sk2,sk1) ),
% 1.39/1.81 inference(reduction,[status(thm)],['1.0.0.0','0.22.2.0',theory(equality)]),
% 1.39/1.81 [pos('R','L')]).
% 1.39/1.81 cnf('1.0.0.2',plain,
% 1.39/1.81 ( composition(meet(sk2,sk1),top) = meet(sk2,sk1) ),
% 1.39/1.81 inference(reduction,[status(thm)],['1.0.0.1','0.22.2.0',theory(equality)]),
% 1.39/1.81 [pos('L.1','L')]).
% 1.39/1.81 cnf('1.0.0.3',plain,
% 1.39/1.81 ( meet(sk2,sk1) = meet(sk2,sk1) ),
% 1.39/1.81 inference(reduction,[status(thm)],['1.0.0.2','0.2148.2.0',theory(equality)]),
% 1.39/1.81 [pos('L','L')]).
% 1.39/1.81 cnf('1.0.0.4',plain,
% 1.39/1.81 ( $true ),
% 1.39/1.81 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 1.39/1.81 [conjecture_1]).
% 1.39/1.81
% 1.39/1.81 Proved Goals:
% 1.39/1.81 No. 1: composition(meet(sk1,sk2),top) ?= meet(sk1,sk2) joined, current: meet(sk2,sk1) = meet(sk2,sk1)
% 1.39/1.81 1 goal was specified, which was proved.
% 1.39/1.81 % SZS output end CNFRefutation
% 1.39/1.81 #END OF PROOF
% 1.39/1.81
% 1.39/1.81 Problem WALDMEISTER_8322_n011
% 1.39/1.81 CPs.gen 247004
% 1.39/1.81 CPs.reexp 0
% 1.39/1.81 Select 16416
% 1.39/1.81 R 2142
% 1.39/1.81 E 6
% 1.39/1.81 vsize 7.7M
% 1.39/1.81 rss 5.2M
% 1.39/1.81 process.time 0.813s
% 1.39/1.81 wallclock.time 0.815s
% 1.39/1.81 status S
% 1.39/1.81
% 1.39/1.81
% 1.39/1.81 Waldmeister states: Goal proved.
% 1.39/1.81 % SZS status Unsatisfiable
%------------------------------------------------------------------------------