TSTP Solution File: REL029-10 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : REL029-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n026.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 20:10:08 EDT 2022
% Result : Unsatisfiable 3.70s 4.10s
% Output : CNFRefutation 3.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL029-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : woody %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 11:01:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.65/1.05 ********************************************************************************
% 0.65/1.05 * W A L D M E I S T E R \| \ / \|/ *
% 0.65/1.05 * |/ | \/ | *
% 0.65/1.05 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.65/1.05 * A. Jaeger and B. Loechner | | *
% 0.65/1.05 * <waldmeister@informatik.uni-kl.de> | *
% 0.65/1.05 ********************************************************************************
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Goals:
% 0.65/1.05 ------
% 0.65/1.05
% 0.65/1.05 ( 1) tuple(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3))) ?=? tuple(join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3))))
% 0.65/1.05
% 0.65/1.05 Detected structure: Orkus
% 0.65/1.05 ********************************************************************************
% 0.65/1.05 ****************************** COMPLETION - PROOF ******************************
% 0.65/1.05 ********************************************************************************
% 0.65/1.05
% 3.70/4.10 joined goal: 1 tuple(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3))) ?= tuple(join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) to tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3)))
% 3.70/4.10 goal joined
% 3.70/4.10 % SZS status Unsatisfiable
% 3.70/4.10 #START OF PROOF
% 3.70/4.10 % SZS output start CNFRefutation
% 3.70/4.10 cnf('0.1.0.0',axiom,
% 3.70/4.10 ( X1 = composition(X1,one) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.1.1.0',plain,
% 3.70/4.10 ( X1 = composition(X1,one) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1.0.0']),
% 3.70/4.10 [weight('<0,0,0,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.1.2.0',plain,
% 3.70/4.10 ( composition(X1,one) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_1]).
% 3.70/4.10 cnf('0.2.0.0',axiom,
% 3.70/4.10 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.2.1.0',plain,
% 3.70/4.10 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.2.0.0']),
% 3.70/4.10 [weight('<1,0,0,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.2.2.0',plain,
% 3.70/4.10 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_2]).
% 3.70/4.10 cnf('0.3.0.0',axiom,
% 3.70/4.10 ( X1 = converse(converse(X1)) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.3.1.0',plain,
% 3.70/4.10 ( X1 = converse(converse(X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.3.0.0']),
% 3.70/4.10 [weight('<2,0,0,[0,0,0,3]>')]).
% 3.70/4.10 cnf('0.3.2.0',plain,
% 3.70/4.10 ( converse(converse(X1)) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_3]).
% 3.70/4.10 cnf('0.4.0.0',axiom,
% 3.70/4.10 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.4.1.0',plain,
% 3.70/4.10 ( composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.4.0.0']),
% 3.70/4.10 [weight('<3,0,0,[0,0,0,4]>')]).
% 3.70/4.10 cnf('0.4.2.0',plain,
% 3.70/4.10 ( composition(composition(X1,X2),X3) = composition(X1,composition(X2,X3)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_4]).
% 3.70/4.10 cnf('0.5.0.0',axiom,
% 3.70/4.10 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.5.1.0',plain,
% 3.70/4.10 ( composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.5.0.0']),
% 3.70/4.10 [weight('<4,0,0,[0,0,0,5]>')]).
% 3.70/4.10 cnf('0.5.2.0',plain,
% 3.70/4.10 ( join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_5]).
% 3.70/4.10 cnf('0.6.0.0',axiom,
% 3.70/4.10 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.6.1.0',plain,
% 3.70/4.10 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.6.0.0']),
% 3.70/4.10 [weight('<5,0,0,[0,0,0,6]>')]).
% 3.70/4.10 cnf('0.6.2.0',plain,
% 3.70/4.10 ( composition(converse(X1),converse(X2)) = converse(composition(X2,X1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_6]).
% 3.70/4.10 cnf('0.7.0.0',axiom,
% 3.70/4.10 ( 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)))) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.7.1.0',plain,
% 3.70/4.10 ( 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)))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.7.0.0']),
% 3.70/4.10 [weight('<6,0,0,[0,0,0,7]>')]).
% 3.70/4.10 cnf('0.7.2.0',plain,
% 3.70/4.10 ( 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))) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_7]).
% 3.70/4.10 cnf('0.8.0.0',axiom,
% 3.70/4.10 ( join(X1,X2) = join(X2,X1) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.8.1.0',plain,
% 3.70/4.10 ( join(X1,X2) = join(X2,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.8.0.0']),
% 3.70/4.10 [weight('<7,0,0,[0,0,0,8]>')]).
% 3.70/4.10 cnf('0.8.2.0',plain,
% 3.70/4.10 ( join(X1,X2) = join(X2,X1) ),
% 3.70/4.10 inference(activate,[status(thm)],['0.8.1.0']),
% 3.70/4.10 [equation_1]).
% 3.70/4.10 cnf('0.9.0.0',axiom,
% 3.70/4.10 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.9.1.0',plain,
% 3.70/4.10 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.9.0.0']),
% 3.70/4.10 [weight('<8,0,0,[0,0,0,9]>')]).
% 3.70/4.10 cnf('0.9.2.0',plain,
% 3.70/4.10 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_8]).
% 3.70/4.10 cnf('0.10.0.0',axiom,
% 3.70/4.10 ( join(X1,complement(X1)) = top ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.10.1.0',plain,
% 3.70/4.10 ( join(X1,complement(X1)) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.10.0.0']),
% 3.70/4.10 [weight('<9,0,0,[0,0,0,10]>')]).
% 3.70/4.10 cnf('0.10.2.0',plain,
% 3.70/4.10 ( join(X1,complement(X1)) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_9]).
% 3.70/4.10 cnf('0.11.0.0',axiom,
% 3.70/4.10 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.11.1.0',plain,
% 3.70/4.10 ( join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.11.0.0']),
% 3.70/4.10 [weight('<10,0,0,[0,0,0,11]>')]).
% 3.70/4.10 cnf('0.11.1.1',plain,
% 3.70/4.10 ( join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.11.1.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.11.2.0',plain,
% 3.70/4.10 ( join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.11.1.1',theory(equality)]),
% 3.70/4.10 [u,rule_10]).
% 3.70/4.10 cnf('0.12.0.0',axiom,
% 3.70/4.10 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.12.1.0',plain,
% 3.70/4.10 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.12.0.0']),
% 3.70/4.10 [weight('<11,0,0,[0,0,0,12]>')]).
% 3.70/4.10 cnf('0.12.2.0',plain,
% 3.70/4.10 ( join(converse(X1),converse(X2)) = converse(join(X1,X2)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_11]).
% 3.70/4.10 cnf('0.15.0.0',axiom,
% 3.70/4.10 ( join(sk1,one) = one ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.15.1.0',plain,
% 3.70/4.10 ( join(sk1,one) = one ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.15.0.0']),
% 3.70/4.10 [weight('<14,0,0,[0,0,0,15]>')]).
% 3.70/4.10 cnf('0.15.2.0',plain,
% 3.70/4.10 ( join(sk1,one) = one ),
% 3.70/4.10 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_14]).
% 3.70/4.10 cnf('0.16.0.0',axiom,
% 3.70/4.10 ( join(sk2,one) = one ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.16.1.0',plain,
% 3.70/4.10 ( join(sk2,one) = one ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.16.0.0']),
% 3.70/4.10 [weight('<15,0,0,[0,0,0,16]>')]).
% 3.70/4.10 cnf('0.16.2.0',plain,
% 3.70/4.10 ( join(sk2,one) = one ),
% 3.70/4.10 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_15]).
% 3.70/4.10 cnf('0.17.0.0',axiom,
% 3.70/4.10 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.17.1.0',plain,
% 3.70/4.10 ( meet(X1,X2) = complement(join(complement(X1),complement(X2))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.17.0.0']),
% 3.70/4.10 [weight('<16,0,0,[0,0,0,17]>')]).
% 3.70/4.10 cnf('0.17.2.0',plain,
% 3.70/4.10 ( complement(join(complement(X1),complement(X2))) = meet(X1,X2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_16]).
% 3.70/4.10 cnf('0.18.0.0',axiom,
% 3.70/4.10 ( meet(X1,complement(X1)) = zero ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.18.1.0',plain,
% 3.70/4.10 ( meet(X1,complement(X1)) = zero ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.18.0.0']),
% 3.70/4.10 [weight('<17,0,0,[0,0,0,18]>')]).
% 3.70/4.10 cnf('0.18.2.0',plain,
% 3.70/4.10 ( meet(X1,complement(X1)) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_17]).
% 3.70/4.10 cnf('0.19.0.0',plain,
% 3.70/4.10 ( meet(X1,complement(X1)) = complement(top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.17.2.0','0.10.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.19.1.0',plain,
% 3.70/4.10 ( meet(X1,complement(X1)) = complement(top) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.19.0.0']),
% 3.70/4.10 [weight('<34,17,10,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.19.1.1',plain,
% 3.70/4.10 ( zero = complement(top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.19.1.0','0.18.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.19.2.0',plain,
% 3.70/4.10 ( complement(top) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 3.70/4.10 [x,rule_18]).
% 3.70/4.10 cnf('0.22.0.0',plain,
% 3.70/4.10 ( meet(X1,X2) = complement(join(complement(X2),complement(X1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.17.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.22.0.1',plain,
% 3.70/4.10 ( meet(X1,X2) = meet(X2,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.22.0.0','0.17.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.22.1.0',plain,
% 3.70/4.10 ( meet(X1,X2) = meet(X2,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.22.0.1']),
% 3.70/4.10 [weight('<48,17,8,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.22.2.0',plain,
% 3.70/4.10 ( meet(X1,X2) = meet(X2,X1) ),
% 3.70/4.10 inference(activate,[status(thm)],['0.22.1.0']),
% 3.70/4.10 [equation_2]).
% 3.70/4.10 cnf('0.25.0.0',plain,
% 3.70/4.10 ( join(sk1,join(one,X1)) = join(one,X1) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.15.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.25.1.0',plain,
% 3.70/4.10 ( join(sk1,join(one,X1)) = join(one,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.25.0.0']),
% 3.70/4.10 [weight('<53,15,9,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.25.2.0',plain,
% 3.70/4.10 ( join(sk1,join(one,X1)) = join(one,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_23]).
% 3.70/4.10 cnf('0.26.0.0',plain,
% 3.70/4.10 ( join(one,complement(one)) = join(sk1,top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.25.2.0','0.10.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.26.0.1',plain,
% 3.70/4.10 ( top = join(sk1,top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.26.0.0','0.10.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.26.1.0',plain,
% 3.70/4.10 ( top = join(sk1,top) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.26.0.1']),
% 3.70/4.10 [weight('<19,25,10,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.26.2.0',plain,
% 3.70/4.10 ( join(sk1,top) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_24]).
% 3.70/4.10 cnf('0.27.0.0',plain,
% 3.70/4.10 ( join(sk2,join(one,X1)) = join(one,X1) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.16.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.27.1.0',plain,
% 3.70/4.10 ( join(sk2,join(one,X1)) = join(one,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.27.0.0']),
% 3.70/4.10 [weight('<53,16,9,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.27.2.0',plain,
% 3.70/4.10 ( join(sk2,join(one,X1)) = join(one,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_25]).
% 3.70/4.10 cnf('0.29.0.0',plain,
% 3.70/4.10 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.17.2.0','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.1','L')]).
% 3.70/4.10 cnf('0.29.1.0',plain,
% 3.70/4.10 ( meet(top,X1) = complement(join(zero,complement(X1))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.29.0.0']),
% 3.70/4.10 [weight('<53,19,17,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.29.2.0',plain,
% 3.70/4.10 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_27]).
% 3.70/4.10 cnf('0.33.0.0',plain,
% 3.70/4.10 ( join(sk1,join(top,X1)) = join(top,X1) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.26.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.33.1.0',plain,
% 3.70/4.10 ( join(sk1,join(top,X1)) = join(top,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.33.0.0']),
% 3.70/4.10 [weight('<53,26,9,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.33.2.0',plain,
% 3.70/4.10 ( join(sk1,join(top,X1)) = join(top,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_31]).
% 3.70/4.10 cnf('0.37.0.0',plain,
% 3.70/4.10 ( join(top,X1) = join(sk1,join(X1,top)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.33.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.37.1.0',plain,
% 3.70/4.10 ( join(top,X1) = join(sk1,join(X1,top)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.37.0.0']),
% 3.70/4.10 [weight('<53,33,8,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.37.2.0',plain,
% 3.70/4.10 ( join(sk1,join(X1,top)) = join(top,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_35]).
% 3.70/4.10 cnf('0.40.0.0',plain,
% 3.70/4.10 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.40.1.0',plain,
% 3.70/4.10 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.40.0.0']),
% 3.70/4.10 [weight('<59,6,3,[1,0,0,3]>')]).
% 3.70/4.10 cnf('0.40.2.0',plain,
% 3.70/4.10 ( converse(composition(converse(X1),X2)) = composition(converse(X2),X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_38]).
% 3.70/4.10 cnf('0.41.0.0',plain,
% 3.70/4.10 ( composition(converse(one),X1) = converse(converse(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.40.2.0','0.1.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.41.0.1',plain,
% 3.70/4.10 ( composition(converse(one),X1) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.41.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.41.1.0',plain,
% 3.70/4.10 ( composition(converse(one),X1) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.41.0.1']),
% 3.70/4.10 [weight('<29,40,1,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.41.2.0',plain,
% 3.70/4.10 ( composition(converse(one),X1) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_39]).
% 3.70/4.10 cnf('0.42.0.0',plain,
% 3.70/4.10 ( one = converse(one) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.41.2.0','0.1.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.42.1.0',plain,
% 3.70/4.10 ( one = converse(one) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.42.0.0']),
% 3.70/4.10 [weight('<11,41,1,[1,0,0,0]>')]).
% 3.70/4.10 cnf('0.42.2.0',plain,
% 3.70/4.10 ( converse(one) = one ),
% 3.70/4.10 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_40]).
% 3.70/4.10 cnf('0.43.0.0',plain,
% 3.70/4.10 ( composition(converse(one),X1) = X1 ),
% 3.70/4.10 inference(interreduction_right,[status(thm)],['0.41.2.0'])).
% 3.70/4.10 cnf('0.43.0.1',plain,
% 3.70/4.10 ( composition(one,X1) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.43.0.0','0.42.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.43.1.0',plain,
% 3.70/4.10 ( composition(one,X1) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.43.0.1']),
% 3.70/4.10 [weight('<19,41,42,[0,0,0,0]>')]).
% 3.70/4.10 cnf('0.43.2.0',plain,
% 3.70/4.10 ( composition(one,X1) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_41]).
% 3.70/4.10 cnf('0.44.0.0',plain,
% 3.70/4.10 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.12.2.0','0.42.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.44.1.0',plain,
% 3.70/4.10 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.44.0.0']),
% 3.70/4.10 [weight('<44,42,12,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.44.2.0',plain,
% 3.70/4.10 ( converse(join(one,X1)) = join(one,converse(X1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_42]).
% 3.70/4.10 cnf('0.48.0.0',plain,
% 3.70/4.10 ( complement(X1) = join(complement(X1),composition(converse(one),complement(X1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.11.2.0','0.43.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2.1','L')]).
% 3.70/4.10 cnf('0.48.0.1',plain,
% 3.70/4.10 ( complement(X1) = join(complement(X1),composition(one,complement(X1))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.48.0.0','0.42.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.1','L')]).
% 3.70/4.10 cnf('0.48.0.2',plain,
% 3.70/4.10 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.48.0.1','0.43.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.48.1.0',plain,
% 3.70/4.10 ( complement(X1) = join(complement(X1),complement(X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.48.0.2']),
% 3.70/4.10 [weight('<47,43,11,[0,0,0,7]>')]).
% 3.70/4.10 cnf('0.48.2.0',plain,
% 3.70/4.10 ( join(complement(X1),complement(X1)) = complement(X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_46]).
% 3.70/4.10 cnf('0.49.0.0',plain,
% 3.70/4.10 ( complement(top) = join(zero,complement(top)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.48.2.0','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.49.0.1',plain,
% 3.70/4.10 ( zero = join(zero,complement(top)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.49.0.0','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.49.0.2',plain,
% 3.70/4.10 ( zero = join(zero,zero) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.49.0.1','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.49.1.0',plain,
% 3.70/4.10 ( zero = join(zero,zero) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.49.0.2']),
% 3.70/4.10 [weight('<19,48,19,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.49.2.0',plain,
% 3.70/4.10 ( join(zero,zero) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_47]).
% 3.70/4.10 cnf('0.54.0.0',plain,
% 3.70/4.10 ( meet(X1,X1) = complement(complement(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.17.2.0','0.48.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.54.1.0',plain,
% 3.70/4.10 ( meet(X1,X1) = complement(complement(X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.54.0.0']),
% 3.70/4.10 [weight('<48,48,17,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.54.2.0',plain,
% 3.70/4.10 ( meet(X1,X1) = complement(complement(X1)) ),
% 3.70/4.10 inference(activate,[status(thm)],['0.54.1.0']),
% 3.70/4.10 [equation_3]).
% 3.70/4.10 cnf('0.55.0.0',plain,
% 3.70/4.10 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.49.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.55.1.0',plain,
% 3.70/4.10 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.55.0.0']),
% 3.70/4.10 [weight('<53,49,9,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.55.2.0',plain,
% 3.70/4.10 ( join(zero,join(zero,X1)) = join(zero,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_52]).
% 3.70/4.10 cnf('0.56.0.0',plain,
% 3.70/4.10 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.55.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.56.1.0',plain,
% 3.70/4.10 ( join(zero,X1) = join(zero,join(X1,zero)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.56.0.0']),
% 3.70/4.10 [weight('<53,55,8,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.56.2.0',plain,
% 3.70/4.10 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_53]).
% 3.70/4.10 cnf('0.59.0.0',plain,
% 3.70/4.10 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.59.1.0',plain,
% 3.70/4.10 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.59.0.0']),
% 3.70/4.10 [weight('<59,12,3,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.59.2.0',plain,
% 3.70/4.10 ( converse(join(converse(X1),X2)) = join(X1,converse(X2)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_56]).
% 3.70/4.10 cnf('0.60.0.0',plain,
% 3.70/4.10 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.60.1.0',plain,
% 3.70/4.10 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.60.0.0']),
% 3.70/4.10 [weight('<59,12,3,[1,0,0,3]>')]).
% 3.70/4.10 cnf('0.60.2.0',plain,
% 3.70/4.10 ( converse(join(X1,converse(X2))) = join(converse(X1),X2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_57]).
% 3.70/4.10 cnf('0.61.0.0',axiom,
% 3.70/4.10 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.61.1.0',plain,
% 3.70/4.10 ( X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.61.0.0']),
% 3.70/4.10 [weight('<0,0,0,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.61.1.1',plain,
% 3.70/4.10 ( X1 = join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.61.1.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.61.1.2',plain,
% 3.70/4.10 ( X1 = join(complement(join(complement(X1),X2)),meet(X1,X2)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.61.1.1','0.17.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.61.1.3',plain,
% 3.70/4.10 ( X1 = join(meet(X1,X2),complement(join(complement(X1),X2))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.61.1.2','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.61.2.0',plain,
% 3.70/4.10 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.61.1.3',theory(equality)]),
% 3.70/4.10 [x,rule_58]).
% 3.70/4.10 cnf('0.64.0.0',plain,
% 3.70/4.10 ( X1 = join(zero,complement(join(complement(X1),complement(X1)))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.61.2.0','0.18.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.64.0.1',plain,
% 3.70/4.10 ( X1 = join(zero,meet(X1,X1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.64.0.0','0.17.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.64.1.0',plain,
% 3.70/4.10 ( X1 = join(zero,meet(X1,X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.64.0.1']),
% 3.70/4.10 [weight('<41,61,18,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.64.2.0',plain,
% 3.70/4.10 ( join(zero,meet(X1,X1)) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_61]).
% 3.70/4.10 cnf('0.65.0.0',plain,
% 3.70/4.10 ( join(zero,meet(X1,X1)) = join(zero,X1) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.55.2.0','0.64.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.65.0.1',plain,
% 3.70/4.10 ( X1 = join(zero,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.65.0.0','0.64.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.65.1.0',plain,
% 3.70/4.10 ( X1 = join(zero,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.65.0.1']),
% 3.70/4.10 [weight('<19,64,55,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.65.2.0',plain,
% 3.70/4.10 ( join(zero,X1) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.65.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_62]).
% 3.70/4.10 cnf('0.66.0.0',plain,
% 3.70/4.10 ( complement(zero) = top ),
% 3.70/4.10 inference(cp,[status(thm)],['0.65.2.0','0.10.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.66.1.0',plain,
% 3.70/4.10 ( complement(zero) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.66.0.0']),
% 3.70/4.10 [weight('<11,65,10,[1,0,0,0]>')]).
% 3.70/4.10 cnf('0.66.2.0',plain,
% 3.70/4.10 ( complement(zero) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.66.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_63]).
% 3.70/4.10 cnf('0.68.0.0',plain,
% 3.70/4.10 ( join(zero,join(X1,zero)) = join(zero,X1) ),
% 3.70/4.10 inference(interreduction_right,[status(thm)],['0.56.2.0'])).
% 3.70/4.10 cnf('0.68.0.1',plain,
% 3.70/4.10 ( join(X1,zero) = join(zero,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.68.0.0','0.65.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.68.0.2',plain,
% 3.70/4.10 ( join(X1,zero) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.68.0.1','0.65.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.68.1.0',plain,
% 3.70/4.10 ( join(X1,zero) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.68.0.2']),
% 3.70/4.10 [weight('<19,56,65,[0,0,0,0]>')]).
% 3.70/4.10 cnf('0.68.2.0',plain,
% 3.70/4.10 ( join(X1,zero) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.68.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_65]).
% 3.70/4.10 cnf('0.69.0.0',plain,
% 3.70/4.10 ( join(zero,meet(X1,X1)) = X1 ),
% 3.70/4.10 inference(interreduction_right,[status(thm)],['0.64.2.0'])).
% 3.70/4.10 cnf('0.69.0.1',plain,
% 3.70/4.10 ( meet(X1,X1) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.69.0.0','0.65.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.69.1.0',plain,
% 3.70/4.10 ( meet(X1,X1) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.69.0.1']),
% 3.70/4.10 [weight('<19,64,65,[0,0,0,0]>')]).
% 3.70/4.10 cnf('0.69.2.0',plain,
% 3.70/4.10 ( meet(X1,X1) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.69.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_66]).
% 3.70/4.10 cnf('0.70.0.0',plain,
% 3.70/4.10 ( meet(X1,X1) = complement(complement(X1)) ),
% 3.70/4.10 inference(interreduction_right,[status(thm)],['0.54.2.0'])).
% 3.70/4.10 cnf('0.70.0.1',plain,
% 3.70/4.10 ( X1 = complement(complement(X1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.70.0.0','0.69.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.70.1.0',plain,
% 3.70/4.10 ( X1 = complement(complement(X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.70.0.1']),
% 3.70/4.10 [weight('<19,54,69,[0,0,0,0]>')]).
% 3.70/4.10 cnf('0.70.2.0',plain,
% 3.70/4.10 ( complement(complement(X1)) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_67]).
% 3.70/4.10 cnf('0.72.0.0',plain,
% 3.70/4.10 ( complement(complement(X1)) = join(X1,complement(complement(X1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.48.2.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.72.0.1',plain,
% 3.70/4.10 ( X1 = join(X1,complement(complement(X1))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.72.0.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.72.0.2',plain,
% 3.70/4.10 ( X1 = join(X1,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.72.0.1','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.72.1.0',plain,
% 3.70/4.10 ( X1 = join(X1,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.72.0.2']),
% 3.70/4.10 [weight('<19,70,48,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.72.2.0',plain,
% 3.70/4.10 ( join(X1,X1) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.72.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_69]).
% 3.70/4.10 cnf('0.73.0.0',plain,
% 3.70/4.10 ( complement(join(zero,complement(X1))) = meet(top,X1) ),
% 3.70/4.10 inference(interreduction_right,[status(thm)],['0.29.2.0'])).
% 3.70/4.10 cnf('0.73.0.1',plain,
% 3.70/4.10 ( complement(complement(X1)) = meet(top,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.73.0.0','0.65.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.73.1.0',plain,
% 3.70/4.10 ( complement(complement(X1)) = meet(top,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.73.0.1']),
% 3.70/4.10 [weight('<27,29,65,[0,0,0,0]>')]).
% 3.70/4.10 cnf('0.73.1.1',plain,
% 3.70/4.10 ( X1 = meet(top,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.73.1.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.73.2.0',plain,
% 3.70/4.10 ( meet(top,X1) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.73.1.1',theory(equality)]),
% 3.70/4.10 [x,rule_70]).
% 3.70/4.10 cnf('0.74.0.0',plain,
% 3.70/4.10 ( X1 = meet(X1,top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.73.2.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.74.1.0',plain,
% 3.70/4.10 ( X1 = meet(X1,top) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.74.0.0']),
% 3.70/4.10 [weight('<19,73,22,[1,0,0,0]>')]).
% 3.70/4.10 cnf('0.74.2.0',plain,
% 3.70/4.10 ( meet(X1,top) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_71]).
% 3.70/4.10 cnf('0.76.0.0',plain,
% 3.70/4.10 ( join(converse(zero),X1) = converse(converse(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.60.2.0','0.65.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.76.0.1',plain,
% 3.70/4.10 ( join(converse(zero),X1) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.76.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.76.1.0',plain,
% 3.70/4.10 ( join(converse(zero),X1) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.76.0.1']),
% 3.70/4.10 [weight('<29,65,60,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.76.2.0',plain,
% 3.70/4.10 ( join(converse(zero),X1) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_73]).
% 3.70/4.10 cnf('0.77.0.0',plain,
% 3.70/4.10 ( zero = converse(zero) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.76.2.0','0.68.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.77.1.0',plain,
% 3.70/4.10 ( zero = converse(zero) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.77.0.0']),
% 3.70/4.10 [weight('<11,76,68,[1,0,0,0]>')]).
% 3.70/4.10 cnf('0.77.2.0',plain,
% 3.70/4.10 ( converse(zero) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.77.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_74]).
% 3.70/4.10 cnf('0.99.0.0',plain,
% 3.70/4.10 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.72.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.99.1.0',plain,
% 3.70/4.10 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.99.0.0']),
% 3.70/4.10 [weight('<53,72,9,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.99.2.0',plain,
% 3.70/4.10 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_96]).
% 3.70/4.10 cnf('0.100.0.0',plain,
% 3.70/4.10 ( join(X1,complement(X1)) = join(X1,top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.99.2.0','0.10.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.100.0.1',plain,
% 3.70/4.10 ( top = join(X1,top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.100.0.0','0.10.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.100.1.0',plain,
% 3.70/4.10 ( top = join(X1,top) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.100.0.1']),
% 3.70/4.10 [weight('<19,99,10,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.100.2.0',plain,
% 3.70/4.10 ( join(X1,top) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_97]).
% 3.70/4.10 cnf('0.101.0.0',plain,
% 3.70/4.10 ( join(sk1,join(X1,top)) = join(top,X1) ),
% 3.70/4.10 inference(interreduction_right,[status(thm)],['0.37.2.0'])).
% 3.70/4.10 cnf('0.101.0.1',plain,
% 3.70/4.10 ( join(sk1,top) = join(top,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.101.0.0','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.101.0.2',plain,
% 3.70/4.10 ( top = join(top,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.101.0.1','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.101.1.0',plain,
% 3.70/4.10 ( top = join(top,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.101.0.2']),
% 3.70/4.10 [weight('<19,37,100,[0,0,0,0]>')]).
% 3.70/4.10 cnf('0.101.2.0',plain,
% 3.70/4.10 ( join(top,X1) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_98]).
% 3.70/4.10 cnf('0.106.0.0',plain,
% 3.70/4.10 ( join(X1,converse(top)) = converse(top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.59.2.0','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.106.1.0',plain,
% 3.70/4.10 ( join(X1,converse(top)) = converse(top) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.106.0.0']),
% 3.70/4.10 [weight('<34,100,59,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.106.2.0',plain,
% 3.70/4.10 ( join(X1,converse(top)) = converse(top) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_103]).
% 3.70/4.10 cnf('0.107.0.0',plain,
% 3.70/4.10 ( converse(top) = top ),
% 3.70/4.10 inference(cp,[status(thm)],['0.106.2.0','0.101.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.107.1.0',plain,
% 3.70/4.10 ( converse(top) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.107.0.0']),
% 3.70/4.10 [weight('<11,106,101,[1,0,0,0]>')]).
% 3.70/4.10 cnf('0.107.2.0',plain,
% 3.70/4.10 ( converse(top) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_104]).
% 3.70/4.10 cnf('0.109.0.0',plain,
% 3.70/4.10 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = join(meet(X1,X2),X1) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.99.2.0','0.61.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.109.0.1',plain,
% 3.70/4.10 ( X1 = join(meet(X1,X2),X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.109.0.0','0.61.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.109.1.0',plain,
% 3.70/4.10 ( X1 = join(meet(X1,X2),X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.109.0.1']),
% 3.70/4.10 [weight('<41,99,61,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.109.1.1',plain,
% 3.70/4.10 ( X1 = join(X1,meet(X1,X2)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.109.1.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.109.2.0',plain,
% 3.70/4.10 ( join(X1,meet(X1,X2)) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.109.1.1',theory(equality)]),
% 3.70/4.10 [x,rule_106]).
% 3.70/4.10 cnf('0.110.0.0',plain,
% 3.70/4.10 ( X1 = join(X1,meet(X2,X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.109.2.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.110.1.0',plain,
% 3.70/4.10 ( X1 = join(X1,meet(X2,X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.110.0.0']),
% 3.70/4.10 [weight('<41,109,22,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.110.2.0',plain,
% 3.70/4.10 ( join(X1,meet(X2,X1)) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_107]).
% 3.70/4.10 cnf('0.112.0.0',axiom,
% 3.70/4.10 ( join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.112.1.0',plain,
% 3.70/4.10 ( join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.112.0.0']),
% 3.70/4.10 [weight('<0,0,0,[0,0,0,13]>')]).
% 3.70/4.10 cnf('0.112.1.1',plain,
% 3.70/4.10 ( join(meet(composition(X1,X2),X3),meet(X3,composition(X1,meet(X2,composition(converse(X1),X3))))) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.112.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.112.1.2',plain,
% 3.70/4.10 ( join(meet(composition(X1,X2),X3),meet(X3,composition(X1,meet(X2,composition(converse(X1),X3))))) = meet(X3,composition(X1,meet(X2,composition(converse(X1),X3)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.112.1.1','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.112.2.0',plain,
% 3.70/4.10 ( join(meet(composition(X1,X2),X3),meet(X3,composition(X1,meet(X2,composition(converse(X1),X3))))) = meet(X3,composition(X1,meet(X2,composition(converse(X1),X3)))) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.112.1.2',theory(equality)]),
% 3.70/4.10 [u,rule_109]).
% 3.70/4.10 cnf('0.113.0.0',plain,
% 3.70/4.10 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.6.2.0','0.107.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.113.1.0',plain,
% 3.70/4.10 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.113.0.0']),
% 3.70/4.10 [weight('<44,107,6,[0,0,0,3]>')]).
% 3.70/4.10 cnf('0.113.2.0',plain,
% 3.70/4.10 ( converse(composition(top,X1)) = composition(converse(X1),top) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_110]).
% 3.70/4.10 cnf('0.114.0.0',plain,
% 3.70/4.10 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.99.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.114.1.0',plain,
% 3.70/4.10 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.114.0.0']),
% 3.70/4.10 [weight('<53,99,8,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.114.2.0',plain,
% 3.70/4.10 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.114.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_111]).
% 3.70/4.10 cnf('0.115.0.0',plain,
% 3.70/4.10 ( meet(X1,composition(one,meet(X2,composition(converse(one),X1)))) = join(meet(composition(one,X2),X1),meet(X1,composition(one,meet(X2,composition(one,X1))))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.112.2.0','0.42.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2.2.2.1','L')]).
% 3.70/4.10 cnf('0.115.0.1',plain,
% 3.70/4.10 ( meet(X1,meet(X2,composition(converse(one),X1))) = join(meet(composition(one,X2),X1),meet(X1,composition(one,meet(X2,composition(one,X1))))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.115.0.0','0.43.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.115.0.2',plain,
% 3.70/4.10 ( meet(X1,meet(X2,composition(one,X1))) = join(meet(composition(one,X2),X1),meet(X1,composition(one,meet(X2,composition(one,X1))))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.115.0.1','0.42.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2.1','L')]).
% 3.70/4.10 cnf('0.115.0.3',plain,
% 3.70/4.10 ( meet(X1,meet(X2,X1)) = join(meet(composition(one,X2),X1),meet(X1,composition(one,meet(X2,composition(one,X1))))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.115.0.2','0.43.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2','L')]).
% 3.70/4.10 cnf('0.115.0.4',plain,
% 3.70/4.10 ( meet(X1,meet(X2,X1)) = join(meet(X2,X1),meet(X1,composition(one,meet(X2,composition(one,X1))))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.115.0.3','0.43.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.1.1','L')]).
% 3.70/4.10 cnf('0.115.0.5',plain,
% 3.70/4.10 ( meet(X1,meet(X2,X1)) = join(meet(X2,X1),meet(X1,meet(X2,composition(one,X1)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.115.0.4','0.43.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.2','L')]).
% 3.70/4.10 cnf('0.115.0.6',plain,
% 3.70/4.10 ( meet(X1,meet(X2,X1)) = join(meet(X2,X1),meet(X1,meet(X2,X1))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.115.0.5','0.43.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.2.2','L')]).
% 3.70/4.10 cnf('0.115.0.7',plain,
% 3.70/4.10 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.115.0.6','0.110.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.115.1.0',plain,
% 3.70/4.10 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.115.0.7']),
% 3.70/4.10 [weight('<53,112,42,[1,0,0,13]>')]).
% 3.70/4.10 cnf('0.115.2.0',plain,
% 3.70/4.10 ( meet(X1,meet(X2,X1)) = meet(X2,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.115.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_112]).
% 3.70/4.10 cnf('0.116.0.0',plain,
% 3.70/4.10 ( join(join(one,X1),sk1) = join(join(one,X1),join(one,X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.114.2.0','0.25.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.116.0.1',plain,
% 3.70/4.10 ( join(one,join(X1,sk1)) = join(join(one,X1),join(one,X1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.116.0.0','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.116.0.2',plain,
% 3.70/4.10 ( join(one,join(X1,sk1)) = join(one,join(X1,join(one,X1))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.116.0.1','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.116.0.3',plain,
% 3.70/4.10 ( join(one,join(X1,sk1)) = join(one,join(X1,one)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.116.0.2','0.114.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.116.0.4',plain,
% 3.70/4.10 ( join(one,join(X1,sk1)) = join(one,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.116.0.3','0.114.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.116.1.0',plain,
% 3.70/4.10 ( join(one,join(X1,sk1)) = join(one,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.116.0.4']),
% 3.70/4.10 [weight('<53,114,25,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.116.2.0',plain,
% 3.70/4.10 ( join(one,join(X1,sk1)) = join(one,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.116.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_113]).
% 3.70/4.10 cnf('0.117.0.0',plain,
% 3.70/4.10 ( join(join(one,X1),sk2) = join(join(one,X1),join(one,X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.114.2.0','0.27.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.117.0.1',plain,
% 3.70/4.10 ( join(one,join(X1,sk2)) = join(join(one,X1),join(one,X1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.117.0.0','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.117.0.2',plain,
% 3.70/4.10 ( join(one,join(X1,sk2)) = join(one,join(X1,join(one,X1))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.117.0.1','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.117.0.3',plain,
% 3.70/4.10 ( join(one,join(X1,sk2)) = join(one,join(X1,one)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.117.0.2','0.114.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.117.0.4',plain,
% 3.70/4.10 ( join(one,join(X1,sk2)) = join(one,X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.117.0.3','0.114.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.117.1.0',plain,
% 3.70/4.10 ( join(one,join(X1,sk2)) = join(one,X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.117.0.4']),
% 3.70/4.10 [weight('<53,114,27,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.117.2.0',plain,
% 3.70/4.10 ( join(one,join(X1,sk2)) = join(one,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_114]).
% 3.70/4.10 cnf('0.119.0.0',plain,
% 3.70/4.10 ( join(one,X1) = join(one,join(sk1,X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.116.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.119.1.0',plain,
% 3.70/4.10 ( join(one,X1) = join(one,join(sk1,X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.119.0.0']),
% 3.70/4.10 [weight('<53,116,8,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.119.2.0',plain,
% 3.70/4.10 ( join(one,join(sk1,X1)) = join(one,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.119.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_116]).
% 3.70/4.10 cnf('0.120.0.0',plain,
% 3.70/4.10 ( join(one,complement(sk1)) = join(one,top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.119.2.0','0.10.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.120.0.1',plain,
% 3.70/4.10 ( join(one,complement(sk1)) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.120.0.0','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.120.1.0',plain,
% 3.70/4.10 ( join(one,complement(sk1)) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.120.0.1']),
% 3.70/4.10 [weight('<29,119,10,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.120.2.0',plain,
% 3.70/4.10 ( join(one,complement(sk1)) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.120.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_117]).
% 3.70/4.10 cnf('0.122.0.0',plain,
% 3.70/4.10 ( join(one,X1) = join(one,join(sk2,X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.117.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.122.1.0',plain,
% 3.70/4.10 ( join(one,X1) = join(one,join(sk2,X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.122.0.0']),
% 3.70/4.10 [weight('<53,117,8,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.122.2.0',plain,
% 3.70/4.10 ( join(one,join(sk2,X1)) = join(one,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.122.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_119]).
% 3.70/4.10 cnf('0.123.0.0',plain,
% 3.70/4.10 ( join(one,complement(sk2)) = join(one,top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.122.2.0','0.10.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.123.0.1',plain,
% 3.70/4.10 ( join(one,complement(sk2)) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.123.0.0','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.123.1.0',plain,
% 3.70/4.10 ( join(one,complement(sk2)) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.123.0.1']),
% 3.70/4.10 [weight('<29,122,10,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.123.2.0',plain,
% 3.70/4.10 ( join(one,complement(sk2)) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.123.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_120]).
% 3.70/4.10 cnf('0.131.0.0',plain,
% 3.70/4.10 ( join(one,join(complement(sk1),X1)) = join(top,X1) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.120.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.131.0.1',plain,
% 3.70/4.10 ( join(one,join(complement(sk1),X1)) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.131.0.0','0.101.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.131.1.0',plain,
% 3.70/4.10 ( join(one,join(complement(sk1),X1)) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.131.0.1']),
% 3.70/4.10 [weight('<55,120,9,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.131.2.0',plain,
% 3.70/4.10 ( join(one,join(complement(sk1),X1)) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.131.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_128]).
% 3.70/4.10 cnf('0.132.0.0',plain,
% 3.70/4.10 ( join(one,join(complement(sk2),X1)) = join(top,X1) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.123.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.132.0.1',plain,
% 3.70/4.10 ( join(one,join(complement(sk2),X1)) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.132.0.0','0.101.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.132.1.0',plain,
% 3.70/4.10 ( join(one,join(complement(sk2),X1)) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.132.0.1']),
% 3.70/4.10 [weight('<55,123,9,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.132.2.0',plain,
% 3.70/4.10 ( join(one,join(complement(sk2),X1)) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_129]).
% 3.70/4.10 cnf('0.138.0.0',plain,
% 3.70/4.10 ( join(join(complement(sk1),X1),one) = join(join(complement(sk1),X1),top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.114.2.0','0.131.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.138.0.1',plain,
% 3.70/4.10 ( join(complement(sk1),join(X1,one)) = join(join(complement(sk1),X1),top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.138.0.0','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.138.0.2',plain,
% 3.70/4.10 ( join(complement(sk1),join(X1,one)) = join(complement(sk1),join(X1,top)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.138.0.1','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.138.0.3',plain,
% 3.70/4.10 ( join(complement(sk1),join(X1,one)) = join(complement(sk1),top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.138.0.2','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.138.0.4',plain,
% 3.70/4.10 ( join(complement(sk1),join(X1,one)) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.138.0.3','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.138.1.0',plain,
% 3.70/4.10 ( join(complement(sk1),join(X1,one)) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.138.0.4']),
% 3.70/4.10 [weight('<55,131,114,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.138.2.0',plain,
% 3.70/4.10 ( join(complement(sk1),join(X1,one)) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.138.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_135]).
% 3.70/4.10 cnf('0.139.0.0',plain,
% 3.70/4.10 ( sk1 = join(meet(sk1,join(X1,one)),complement(top)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.61.2.0','0.138.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.1','L')]).
% 3.70/4.10 cnf('0.139.0.1',plain,
% 3.70/4.10 ( sk1 = join(meet(sk1,join(X1,one)),zero) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.139.0.0','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.139.0.2',plain,
% 3.70/4.10 ( sk1 = meet(sk1,join(X1,one)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.139.0.1','0.68.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.139.1.0',plain,
% 3.70/4.10 ( sk1 = meet(sk1,join(X1,one)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.139.0.2']),
% 3.70/4.10 [weight('<41,138,61,[0,0,0,5]>')]).
% 3.70/4.10 cnf('0.139.2.0',plain,
% 3.70/4.10 ( meet(sk1,join(X1,one)) = sk1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.139.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_136]).
% 3.70/4.10 cnf('0.140.0.0',plain,
% 3.70/4.10 ( sk1 = meet(sk1,one) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.139.2.0','0.15.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.140.1.0',plain,
% 3.70/4.10 ( sk1 = meet(sk1,one) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.140.0.0']),
% 3.70/4.10 [weight('<19,139,15,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.140.2.0',plain,
% 3.70/4.10 ( meet(sk1,one) = sk1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.140.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_137]).
% 3.70/4.10 cnf('0.143.0.0',plain,
% 3.70/4.10 ( join(join(complement(sk2),X1),one) = join(join(complement(sk2),X1),top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.114.2.0','0.132.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.143.0.1',plain,
% 3.70/4.10 ( join(complement(sk2),join(X1,one)) = join(join(complement(sk2),X1),top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.143.0.0','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.143.0.2',plain,
% 3.70/4.10 ( join(complement(sk2),join(X1,one)) = join(complement(sk2),join(X1,top)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.143.0.1','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.143.0.3',plain,
% 3.70/4.10 ( join(complement(sk2),join(X1,one)) = join(complement(sk2),top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.143.0.2','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.143.0.4',plain,
% 3.70/4.10 ( join(complement(sk2),join(X1,one)) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.143.0.3','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.143.1.0',plain,
% 3.70/4.10 ( join(complement(sk2),join(X1,one)) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.143.0.4']),
% 3.70/4.10 [weight('<55,132,114,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.143.2.0',plain,
% 3.70/4.10 ( join(complement(sk2),join(X1,one)) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.143.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_140]).
% 3.70/4.10 cnf('0.144.0.0',plain,
% 3.70/4.10 ( sk2 = join(meet(sk2,join(X1,one)),complement(top)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.61.2.0','0.143.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.1','L')]).
% 3.70/4.10 cnf('0.144.0.1',plain,
% 3.70/4.10 ( sk2 = join(meet(sk2,join(X1,one)),zero) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.144.0.0','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.144.0.2',plain,
% 3.70/4.10 ( sk2 = meet(sk2,join(X1,one)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.144.0.1','0.68.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.144.1.0',plain,
% 3.70/4.10 ( sk2 = meet(sk2,join(X1,one)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.144.0.2']),
% 3.70/4.10 [weight('<41,143,61,[0,0,0,5]>')]).
% 3.70/4.10 cnf('0.144.2.0',plain,
% 3.70/4.10 ( meet(sk2,join(X1,one)) = sk2 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.144.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_141]).
% 3.70/4.10 cnf('0.145.0.0',plain,
% 3.70/4.10 ( sk2 = meet(sk2,one) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.144.2.0','0.15.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.145.1.0',plain,
% 3.70/4.10 ( sk2 = meet(sk2,one) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.145.0.0']),
% 3.70/4.10 [weight('<19,144,15,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.145.2.0',plain,
% 3.70/4.10 ( meet(sk2,one) = sk2 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.145.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_142]).
% 3.70/4.10 cnf('0.149.0.0',plain,
% 3.70/4.10 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.17.2.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.1','L')]).
% 3.70/4.10 cnf('0.149.1.0',plain,
% 3.70/4.10 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.149.0.0']),
% 3.70/4.10 [weight('<59,70,17,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.149.2.0',plain,
% 3.70/4.10 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.149.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_146]).
% 3.70/4.10 cnf('0.150.0.0',plain,
% 3.70/4.10 ( meet(complement(one),sk1) = complement(top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.149.2.0','0.120.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.150.0.1',plain,
% 3.70/4.10 ( meet(complement(one),sk1) = zero ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.150.0.0','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.150.1.0',plain,
% 3.70/4.10 ( meet(complement(one),sk1) = zero ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.150.0.1']),
% 3.70/4.10 [weight('<29,149,120,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.150.1.1',plain,
% 3.70/4.10 ( meet(sk1,complement(one)) = zero ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.150.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.150.2.0',plain,
% 3.70/4.10 ( meet(sk1,complement(one)) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.150.1.1',theory(equality)]),
% 3.70/4.10 [u,rule_147]).
% 3.70/4.10 cnf('0.152.0.0',plain,
% 3.70/4.10 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.149.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.152.1.0',plain,
% 3.70/4.10 ( meet(complement(X1),X2) = complement(join(complement(X2),X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.152.0.0']),
% 3.70/4.10 [weight('<59,149,8,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.152.2.0',plain,
% 3.70/4.10 ( complement(join(complement(X1),X2)) = meet(complement(X2),X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_149]).
% 3.70/4.10 cnf('0.161.0.0',plain,
% 3.70/4.10 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.70.2.0','0.149.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.161.1.0',plain,
% 3.70/4.10 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.161.0.0']),
% 3.70/4.10 [weight('<59,149,70,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.161.2.0',plain,
% 3.70/4.10 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.161.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_158]).
% 3.70/4.10 cnf('0.162.0.0',plain,
% 3.70/4.10 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.149.2.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.2','L')]).
% 3.70/4.10 cnf('0.162.1.0',plain,
% 3.70/4.10 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.162.0.0']),
% 3.70/4.10 [weight('<59,149,70,[1,0,0,3]>')]).
% 3.70/4.10 cnf('0.162.2.0',plain,
% 3.70/4.10 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.162.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_159]).
% 3.70/4.10 cnf('0.163.0.0',axiom,
% 3.70/4.10 ( 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) ),
% 3.70/4.10 file('/tmp/WALDMEISTER_32500_n026')).
% 3.70/4.10 cnf('0.163.1.0',plain,
% 3.70/4.10 ( 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) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.163.0.0']),
% 3.70/4.10 [weight('<0,0,0,[0,0,0,14]>')]).
% 3.70/4.10 cnf('0.163.1.1',plain,
% 3.70/4.10 ( 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) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.163.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.163.1.2',plain,
% 3.70/4.10 ( 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)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.163.1.1','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.163.2.0',plain,
% 3.70/4.10 ( 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)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.163.1.2',theory(equality)]),
% 3.70/4.10 [u,rule_160]).
% 3.70/4.10 cnf('0.164.0.0',plain,
% 3.70/4.10 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.161.2.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.164.1.0',plain,
% 3.70/4.10 ( join(X1,complement(X2)) = complement(meet(X2,complement(X1))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.164.0.0']),
% 3.70/4.10 [weight('<59,161,22,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.164.2.0',plain,
% 3.70/4.10 ( complement(meet(X1,complement(X2))) = join(X2,complement(X1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_161]).
% 3.70/4.10 cnf('0.165.0.0',plain,
% 3.70/4.10 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.161.2.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.1','L')]).
% 3.70/4.10 cnf('0.165.1.0',plain,
% 3.70/4.10 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.165.0.0']),
% 3.70/4.10 [weight('<59,161,70,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.165.2.0',plain,
% 3.70/4.10 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.165.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_162]).
% 3.70/4.10 cnf('0.174.0.0',plain,
% 3.70/4.10 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.59.2.0','0.10.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.174.1.0',plain,
% 3.70/4.10 ( join(X1,converse(complement(converse(X1)))) = converse(top) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.174.0.0']),
% 3.70/4.10 [weight('<62,59,10,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.174.1.1',plain,
% 3.70/4.10 ( join(X1,converse(complement(converse(X1)))) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.174.1.0','0.107.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.174.2.0',plain,
% 3.70/4.10 ( join(X1,converse(complement(converse(X1)))) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.174.1.1',theory(equality)]),
% 3.70/4.10 [u,rule_171]).
% 3.70/4.10 cnf('0.175.0.0',plain,
% 3.70/4.10 ( join(one,converse(complement(converse(sk1)))) = join(one,top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.119.2.0','0.174.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.175.0.1',plain,
% 3.70/4.10 ( join(one,converse(complement(converse(sk1)))) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.175.0.0','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.175.1.0',plain,
% 3.70/4.10 ( join(one,converse(complement(converse(sk1)))) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.175.0.1']),
% 3.70/4.10 [weight('<55,174,119,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.175.2.0',plain,
% 3.70/4.10 ( join(one,converse(complement(converse(sk1)))) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.175.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_172]).
% 3.70/4.10 cnf('0.176.0.0',plain,
% 3.70/4.10 ( join(one,converse(converse(complement(converse(sk1))))) = converse(top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.44.2.0','0.175.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.176.0.1',plain,
% 3.70/4.10 ( join(one,complement(converse(sk1))) = converse(top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.176.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.176.0.2',plain,
% 3.70/4.10 ( join(one,complement(converse(sk1))) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.176.0.1','0.107.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.176.1.0',plain,
% 3.70/4.10 ( join(one,complement(converse(sk1))) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.176.0.2']),
% 3.70/4.10 [weight('<41,175,44,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.176.2.0',plain,
% 3.70/4.10 ( join(one,complement(converse(sk1))) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.176.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_173]).
% 3.70/4.10 cnf('0.177.0.0',plain,
% 3.70/4.10 ( meet(complement(one),converse(sk1)) = complement(top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.149.2.0','0.176.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.177.0.1',plain,
% 3.70/4.10 ( meet(complement(one),converse(sk1)) = zero ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.177.0.0','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.177.1.0',plain,
% 3.70/4.10 ( meet(complement(one),converse(sk1)) = zero ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.177.0.1']),
% 3.70/4.10 [weight('<41,176,149,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.177.2.0',plain,
% 3.70/4.10 ( meet(complement(one),converse(sk1)) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.177.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_174]).
% 3.70/4.10 cnf('0.178.0.0',plain,
% 3.70/4.10 ( join(one,converse(complement(converse(sk2)))) = join(one,top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.122.2.0','0.174.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.178.0.1',plain,
% 3.70/4.10 ( join(one,converse(complement(converse(sk2)))) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.178.0.0','0.100.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.178.1.0',plain,
% 3.70/4.10 ( join(one,converse(complement(converse(sk2)))) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.178.0.1']),
% 3.70/4.10 [weight('<55,174,122,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.178.2.0',plain,
% 3.70/4.10 ( join(one,converse(complement(converse(sk2)))) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.178.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_175]).
% 3.70/4.10 cnf('0.179.0.0',plain,
% 3.70/4.10 ( join(one,converse(converse(complement(converse(sk2))))) = converse(top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.44.2.0','0.178.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.179.0.1',plain,
% 3.70/4.10 ( join(one,complement(converse(sk2))) = converse(top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.179.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.179.0.2',plain,
% 3.70/4.10 ( join(one,complement(converse(sk2))) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.179.0.1','0.107.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.179.1.0',plain,
% 3.70/4.10 ( join(one,complement(converse(sk2))) = top ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.179.0.2']),
% 3.70/4.10 [weight('<41,178,44,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.179.2.0',plain,
% 3.70/4.10 ( join(one,complement(converse(sk2))) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_176]).
% 3.70/4.10 cnf('0.180.0.0',plain,
% 3.70/4.10 ( meet(complement(one),converse(sk2)) = complement(top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.149.2.0','0.179.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.180.0.1',plain,
% 3.70/4.10 ( meet(complement(one),converse(sk2)) = zero ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.180.0.0','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.180.1.0',plain,
% 3.70/4.10 ( meet(complement(one),converse(sk2)) = zero ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.180.0.1']),
% 3.70/4.10 [weight('<41,179,149,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.180.2.0',plain,
% 3.70/4.10 ( meet(complement(one),converse(sk2)) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_177]).
% 3.70/4.10 cnf('0.181.0.0',plain,
% 3.70/4.10 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.10.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.181.1.0',plain,
% 3.70/4.10 ( join(X1,join(complement(X1),X2)) = join(top,X2) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.181.0.0']),
% 3.70/4.10 [weight('<69,10,9,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.181.1.1',plain,
% 3.70/4.10 ( join(X1,join(complement(X1),X2)) = top ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.181.1.0','0.101.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.181.2.0',plain,
% 3.70/4.10 ( join(X1,join(complement(X1),X2)) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.181.1.1',theory(equality)]),
% 3.70/4.10 [u,rule_178]).
% 3.70/4.10 cnf('0.185.0.0',plain,
% 3.70/4.10 ( meet(complement(join(complement(complement(X1)),X2)),X1) = complement(top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.152.2.0','0.181.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.185.0.1',plain,
% 3.70/4.10 ( meet(meet(complement(X2),complement(X1)),X1) = complement(top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.185.0.0','0.152.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.185.0.2',plain,
% 3.70/4.10 ( meet(complement(join(X2,X1)),X1) = complement(top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.185.0.1','0.162.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.185.0.3',plain,
% 3.70/4.10 ( meet(complement(join(X2,X1)),X1) = zero ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.185.0.2','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.185.1.0',plain,
% 3.70/4.10 ( meet(complement(join(X2,X1)),X1) = zero ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.185.0.3']),
% 3.70/4.10 [weight('<55,181,152,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.185.1.1',plain,
% 3.70/4.10 ( meet(X1,complement(join(X2,X1))) = zero ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.185.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.185.2.0',plain,
% 3.70/4.10 ( meet(X1,complement(join(X2,X1))) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.185.1.1',theory(equality)]),
% 3.70/4.10 [u,rule_182]).
% 3.70/4.10 cnf('0.212.0.0',plain,
% 3.70/4.10 ( meet(complement(meet(complement(X1),X2)),X1) = complement(complement(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.152.2.0','0.109.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.212.0.1',plain,
% 3.70/4.10 ( meet(complement(meet(complement(X1),X2)),X1) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.212.0.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.212.1.0',plain,
% 3.70/4.10 ( meet(complement(meet(complement(X1),X2)),X1) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.212.0.1']),
% 3.70/4.10 [weight('<71,152,109,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.212.1.1',plain,
% 3.70/4.10 ( meet(X1,complement(meet(complement(X1),X2))) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.212.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.212.1.2',plain,
% 3.70/4.10 ( meet(X1,join(X1,complement(X2))) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.212.1.1','0.161.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.212.2.0',plain,
% 3.70/4.10 ( meet(X1,join(X1,complement(X2))) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.212.1.2',theory(equality)]),
% 3.70/4.10 [u,rule_209]).
% 3.70/4.10 cnf('0.213.0.0',plain,
% 3.70/4.10 ( X1 = meet(X1,join(X1,X2)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.212.2.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2','L')]).
% 3.70/4.10 cnf('0.213.1.0',plain,
% 3.70/4.10 ( X1 = meet(X1,join(X1,X2)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.213.0.0']),
% 3.70/4.10 [weight('<41,212,70,[1,0,0,4]>')]).
% 3.70/4.10 cnf('0.213.2.0',plain,
% 3.70/4.10 ( meet(X1,join(X1,X2)) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.213.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_210]).
% 3.70/4.10 cnf('0.214.0.0',plain,
% 3.70/4.10 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.10 inference(interreduction_right,[status(thm)],['0.2.2.0'])).
% 3.70/4.10 cnf('0.214.1.0',plain,
% 3.70/4.10 ( join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.214.0.0']),
% 3.70/4.10 [weight('<?,2,8,[0,0,0,0]>')]).
% 3.70/4.10 cnf('0.214.1.1',plain,
% 3.70/4.10 ( complement(meet(join(complement(X1),complement(X2)),join(complement(X1),X2))) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.214.1.0','0.165.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.214.1.2',plain,
% 3.70/4.10 ( complement(meet(join(complement(X1),X2),join(complement(X1),complement(X2)))) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.214.1.1','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.214.1.3',plain,
% 3.70/4.10 ( complement(meet(join(complement(X1),X2),complement(meet(X1,X2)))) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.214.1.2','0.165.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.2','L')]).
% 3.70/4.10 cnf('0.214.1.4',plain,
% 3.70/4.10 ( join(meet(X1,X2),complement(join(complement(X1),X2))) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.214.1.3','0.164.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.214.1.5',plain,
% 3.70/4.10 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.214.1.4','0.152.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.214.2.0',plain,
% 3.70/4.10 ( join(meet(X1,X2),meet(complement(X2),X1)) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.214.1.5',theory(equality)]),
% 3.70/4.10 [u,rule_211]).
% 3.70/4.10 cnf('0.215.0.0',plain,
% 3.70/4.10 ( converse(sk1) = join(meet(converse(sk1),one),zero) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.214.2.0','0.177.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.215.0.1',plain,
% 3.70/4.10 ( converse(sk1) = meet(converse(sk1),one) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.215.0.0','0.68.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.215.1.0',plain,
% 3.70/4.10 ( converse(sk1) = meet(converse(sk1),one) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.215.0.1']),
% 3.70/4.10 [weight('<34,214,177,[1,0,0,4]>')]).
% 3.70/4.10 cnf('0.215.1.1',plain,
% 3.70/4.10 ( converse(sk1) = meet(one,converse(sk1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.215.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.215.2.0',plain,
% 3.70/4.10 ( meet(one,converse(sk1)) = converse(sk1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.215.1.1',theory(equality)]),
% 3.70/4.10 [x,rule_212]).
% 3.70/4.10 cnf('0.216.0.0',plain,
% 3.70/4.10 ( converse(sk2) = join(meet(converse(sk2),one),zero) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.214.2.0','0.180.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.216.0.1',plain,
% 3.70/4.10 ( converse(sk2) = meet(converse(sk2),one) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.216.0.0','0.68.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.216.1.0',plain,
% 3.70/4.10 ( converse(sk2) = meet(converse(sk2),one) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.216.0.1']),
% 3.70/4.10 [weight('<34,214,180,[1,0,0,4]>')]).
% 3.70/4.10 cnf('0.216.1.1',plain,
% 3.70/4.10 ( converse(sk2) = meet(one,converse(sk2)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.216.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.216.2.0',plain,
% 3.70/4.10 ( meet(one,converse(sk2)) = converse(sk2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.216.1.1',theory(equality)]),
% 3.70/4.10 [x,rule_213]).
% 3.70/4.10 cnf('0.217.0.0',plain,
% 3.70/4.10 ( X1 = meet(X1,join(X2,X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.213.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.217.1.0',plain,
% 3.70/4.10 ( X1 = meet(X1,join(X2,X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.217.0.0']),
% 3.70/4.10 [weight('<41,213,8,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.217.2.0',plain,
% 3.70/4.10 ( meet(X1,join(X2,X1)) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.217.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_214]).
% 3.70/4.10 cnf('0.267.0.0',plain,
% 3.70/4.10 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.217.2.0','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.267.1.0',plain,
% 3.70/4.10 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.267.0.0']),
% 3.70/4.10 [weight('<71,217,9,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.267.2.0',plain,
% 3.70/4.10 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.267.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_264]).
% 3.70/4.10 cnf('0.277.0.0',plain,
% 3.70/4.10 ( X1 = meet(X1,join(join(X2,X1),X3)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.267.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.277.0.1',plain,
% 3.70/4.10 ( X1 = meet(X1,join(X2,join(X1,X3))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.277.0.0','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.277.1.0',plain,
% 3.70/4.10 ( X1 = meet(X1,join(X2,join(X1,X3))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.277.0.1']),
% 3.70/4.10 [weight('<71,267,8,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.277.2.0',plain,
% 3.70/4.10 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.277.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_274]).
% 3.70/4.10 cnf('0.304.0.0',plain,
% 3.70/4.10 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.109.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.304.1.0',plain,
% 3.70/4.10 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.304.0.0']),
% 3.70/4.10 [weight('<87,109,9,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.304.2.0',plain,
% 3.70/4.10 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.304.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_301]).
% 3.70/4.10 cnf('0.318.0.0',plain,
% 3.70/4.10 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.110.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.318.1.0',plain,
% 3.70/4.10 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.318.0.0']),
% 3.70/4.10 [weight('<87,110,9,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.318.2.0',plain,
% 3.70/4.10 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.318.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_315]).
% 3.70/4.10 cnf('0.319.0.0',plain,
% 3.70/4.10 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.318.2.0','0.214.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.319.1.0',plain,
% 3.70/4.10 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.319.0.0']),
% 3.70/4.10 [weight('<69,318,214,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.319.2.0',plain,
% 3.70/4.10 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.319.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_316]).
% 3.70/4.10 cnf('0.320.0.0',plain,
% 3.70/4.10 ( join(X1,X2) = join(X1,meet(X2,complement(X1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.319.2.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.320.1.0',plain,
% 3.70/4.10 ( join(X1,X2) = join(X1,meet(X2,complement(X1))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.320.0.0']),
% 3.70/4.10 [weight('<69,319,22,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.320.2.0',plain,
% 3.70/4.10 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.320.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_317]).
% 3.70/4.10 cnf('0.326.0.0',plain,
% 3.70/4.10 ( meet(complement(meet(complement(complement(X1)),X2)),X1) = complement(join(complement(X1),X2)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.152.2.0','0.319.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.326.0.1',plain,
% 3.70/4.10 ( meet(join(complement(X1),complement(X2)),X1) = complement(join(complement(X1),X2)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.326.0.0','0.161.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.326.0.2',plain,
% 3.70/4.10 ( meet(complement(meet(X1,X2)),X1) = complement(join(complement(X1),X2)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.326.0.1','0.165.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.326.0.3',plain,
% 3.70/4.10 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.326.0.2','0.152.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.326.1.0',plain,
% 3.70/4.10 ( meet(complement(meet(X1,X2)),X1) = meet(complement(X2),X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.326.0.3']),
% 3.70/4.10 [weight('<76,319,152,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.326.1.1',plain,
% 3.70/4.10 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.326.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.326.2.0',plain,
% 3.70/4.10 ( meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.326.1.1',theory(equality)]),
% 3.70/4.10 [u,rule_323]).
% 3.70/4.10 cnf('0.327.0.0',plain,
% 3.70/4.10 ( meet(complement(complement(X1)),X2) = meet(X2,join(X1,complement(X2))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.326.2.0','0.164.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.327.0.1',plain,
% 3.70/4.10 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.327.0.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.327.1.0',plain,
% 3.70/4.10 ( meet(X1,X2) = meet(X2,join(X1,complement(X2))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.327.0.1']),
% 3.70/4.10 [weight('<69,326,164,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.327.2.0',plain,
% 3.70/4.10 ( meet(X1,join(X2,complement(X1))) = meet(X2,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.327.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_324]).
% 3.70/4.10 cnf('0.328.0.0',plain,
% 3.70/4.10 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.327.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.328.1.0',plain,
% 3.70/4.10 ( meet(X1,X2) = meet(X2,join(complement(X2),X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.328.0.0']),
% 3.70/4.10 [weight('<69,327,8,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.328.2.0',plain,
% 3.70/4.10 ( meet(X1,join(complement(X1),X2)) = meet(X2,X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.328.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_325]).
% 3.70/4.10 cnf('0.329.0.0',plain,
% 3.70/4.10 ( meet(converse(complement(converse(complement(X1)))),X1) = meet(X1,top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.328.2.0','0.174.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.329.0.1',plain,
% 3.70/4.10 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.329.0.0','0.74.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.329.1.0',plain,
% 3.70/4.10 ( meet(converse(complement(converse(complement(X1)))),X1) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.329.0.1']),
% 3.70/4.10 [weight('<71,328,174,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.329.1.1',plain,
% 3.70/4.10 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.329.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.329.2.0',plain,
% 3.70/4.10 ( meet(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.329.1.1',theory(equality)]),
% 3.70/4.10 [u,rule_326]).
% 3.70/4.10 cnf('0.330.0.0',plain,
% 3.70/4.10 ( join(X1,complement(converse(complement(converse(complement(complement(X1))))))) = complement(complement(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.161.2.0','0.329.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.330.0.1',plain,
% 3.70/4.10 ( join(X1,complement(converse(complement(converse(X1))))) = complement(complement(X1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.330.0.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.1.1.1.1','L')]).
% 3.70/4.10 cnf('0.330.0.2',plain,
% 3.70/4.10 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.330.0.1','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.330.1.0',plain,
% 3.70/4.10 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.330.0.2']),
% 3.70/4.10 [weight('<71,329,161,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.330.2.0',plain,
% 3.70/4.10 ( join(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.330.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_327]).
% 3.70/4.10 cnf('0.353.0.0',plain,
% 3.70/4.10 ( join(X1,converse(complement(converse(complement(converse(converse(X1))))))) = converse(converse(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.59.2.0','0.330.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.353.0.1',plain,
% 3.70/4.10 ( join(X1,converse(complement(converse(complement(X1))))) = converse(converse(X1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.353.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.1.1.1.1','L')]).
% 3.70/4.10 cnf('0.353.0.2',plain,
% 3.70/4.10 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.353.0.1','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.353.1.0',plain,
% 3.70/4.10 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.353.0.2']),
% 3.70/4.10 [weight('<71,330,59,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.353.2.0',plain,
% 3.70/4.10 ( join(X1,converse(complement(converse(complement(X1))))) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.353.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_350]).
% 3.70/4.10 cnf('0.358.0.0',plain,
% 3.70/4.10 ( meet(complement(converse(complement(converse(complement(complement(X1)))))),X1) = complement(complement(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.152.2.0','0.353.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.358.0.1',plain,
% 3.70/4.10 ( meet(complement(converse(complement(converse(X1)))),X1) = complement(complement(X1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.358.0.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.1.1.1.1','L')]).
% 3.70/4.10 cnf('0.358.0.2',plain,
% 3.70/4.10 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.358.0.1','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.358.1.0',plain,
% 3.70/4.10 ( meet(complement(converse(complement(converse(X1)))),X1) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.358.0.2']),
% 3.70/4.10 [weight('<71,353,152,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.358.1.1',plain,
% 3.70/4.10 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.358.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.358.2.0',plain,
% 3.70/4.10 ( meet(X1,complement(converse(complement(converse(X1))))) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.358.1.1',theory(equality)]),
% 3.70/4.10 [u,rule_355]).
% 3.70/4.10 cnf('0.363.0.0',plain,
% 3.70/4.10 ( join(X1,complement(X2)) = join(X1,complement(join(X2,X1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.320.2.0','0.162.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.363.1.0',plain,
% 3.70/4.10 ( join(X1,complement(X2)) = join(X1,complement(join(X2,X1))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.363.0.0']),
% 3.70/4.10 [weight('<76,320,162,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.363.2.0',plain,
% 3.70/4.10 ( join(X1,complement(join(X2,X1))) = join(X1,complement(X2)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.363.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_360]).
% 3.70/4.10 cnf('0.371.0.0',plain,
% 3.70/4.10 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.327.2.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2','L')]).
% 3.70/4.10 cnf('0.371.1.0',plain,
% 3.70/4.10 ( meet(X1,complement(X2)) = meet(complement(X2),join(X1,X2)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.371.0.0']),
% 3.70/4.10 [weight('<76,327,70,[1,0,0,4]>')]).
% 3.70/4.10 cnf('0.371.2.0',plain,
% 3.70/4.10 ( meet(complement(X1),join(X2,X1)) = meet(X2,complement(X1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.371.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_368]).
% 3.70/4.10 cnf('0.372.0.0',plain,
% 3.70/4.10 ( meet(X1,complement(converse(complement(converse(X1))))) = meet(complement(converse(complement(converse(X1)))),top) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.371.2.0','0.174.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.372.0.1',plain,
% 3.70/4.10 ( X1 = meet(complement(converse(complement(converse(X1)))),top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.372.0.0','0.358.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.372.0.2',plain,
% 3.70/4.10 ( X1 = complement(converse(complement(converse(X1)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.372.0.1','0.74.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.372.1.0',plain,
% 3.70/4.10 ( X1 = complement(converse(complement(converse(X1)))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.372.0.2']),
% 3.70/4.10 [weight('<41,371,174,[1,0,0,3]>')]).
% 3.70/4.10 cnf('0.372.2.0',plain,
% 3.70/4.10 ( complement(converse(complement(converse(X1)))) = X1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.372.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_369]).
% 3.70/4.10 cnf('0.373.0.0',plain,
% 3.70/4.10 ( converse(X1) = complement(converse(complement(X1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.372.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.1.1','L')]).
% 3.70/4.10 cnf('0.373.1.0',plain,
% 3.70/4.10 ( converse(X1) = complement(converse(complement(X1))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.373.0.0']),
% 3.70/4.10 [weight('<34,372,3,[1,0,0,3]>')]).
% 3.70/4.10 cnf('0.373.2.0',plain,
% 3.70/4.10 ( complement(converse(complement(X1))) = converse(X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.373.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_370]).
% 3.70/4.10 cnf('0.374.0.0',plain,
% 3.70/4.10 ( converse(complement(X1)) = complement(converse(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.70.2.0','0.373.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.374.1.0',plain,
% 3.70/4.10 ( converse(complement(X1)) = complement(converse(X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.374.0.0']),
% 3.70/4.10 [weight('<27,373,70,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.374.2.0',plain,
% 3.70/4.10 ( converse(complement(X1)) = complement(converse(X1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.374.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_371]).
% 3.70/4.10 cnf('0.398.0.0',plain,
% 3.70/4.10 ( join(complement(X1),converse(X2)) = converse(join(complement(converse(X1)),X2)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.59.2.0','0.374.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.1','L')]).
% 3.70/4.10 cnf('0.398.1.0',plain,
% 3.70/4.10 ( join(complement(X1),converse(X2)) = converse(join(complement(converse(X1)),X2)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.398.0.0']),
% 3.70/4.10 [weight('<83,374,59,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.398.2.0',plain,
% 3.70/4.10 ( converse(join(complement(converse(X1)),X2)) = join(complement(X1),converse(X2)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.398.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_395]).
% 3.70/4.10 cnf('0.400.0.0',plain,
% 3.70/4.10 ( complement(converse(join(X1,complement(X2)))) = converse(meet(complement(X1),X2)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.374.2.0','0.149.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.400.1.0',plain,
% 3.70/4.10 ( complement(converse(join(X1,complement(X2)))) = converse(meet(complement(X1),X2)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.400.0.0']),
% 3.70/4.10 [weight('<83,374,149,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.400.2.0',plain,
% 3.70/4.10 ( complement(converse(join(X1,complement(X2)))) = converse(meet(complement(X1),X2)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.400.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_397]).
% 3.70/4.10 cnf('0.401.0.0',plain,
% 3.70/4.10 ( converse(meet(complement(complement(converse(X1))),X2)) = complement(join(complement(X1),converse(complement(X2)))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.400.2.0','0.398.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.401.0.1',plain,
% 3.70/4.10 ( converse(meet(converse(X1),X2)) = complement(join(complement(X1),converse(complement(X2)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.401.0.0','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.1','L')]).
% 3.70/4.10 cnf('0.401.0.2',plain,
% 3.70/4.10 ( converse(meet(converse(X1),X2)) = meet(complement(converse(complement(X2))),X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.401.0.1','0.152.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.401.0.3',plain,
% 3.70/4.10 ( converse(meet(converse(X1),X2)) = meet(complement(complement(converse(X2))),X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.401.0.2','0.374.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.1.1','L')]).
% 3.70/4.10 cnf('0.401.0.4',plain,
% 3.70/4.10 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.401.0.3','0.70.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.1','L')]).
% 3.70/4.10 cnf('0.401.1.0',plain,
% 3.70/4.10 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.401.0.4']),
% 3.70/4.10 [weight('<59,400,398,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.401.2.0',plain,
% 3.70/4.10 ( converse(meet(converse(X1),X2)) = meet(converse(X2),X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.401.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_398]).
% 3.70/4.10 cnf('0.402.0.0',plain,
% 3.70/4.10 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.401.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.1','L')]).
% 3.70/4.10 cnf('0.402.1.0',plain,
% 3.70/4.10 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.402.0.0']),
% 3.70/4.10 [weight('<59,401,3,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.402.2.0',plain,
% 3.70/4.10 ( meet(converse(X1),converse(X2)) = converse(meet(X2,X1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.402.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_399]).
% 3.70/4.10 cnf('0.403.0.0',plain,
% 3.70/4.10 ( meet(converse(X1),X2) = converse(meet(X1,converse(X2))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.401.2.0','0.22.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.403.1.0',plain,
% 3.70/4.10 ( meet(converse(X1),X2) = converse(meet(X1,converse(X2))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.403.0.0']),
% 3.70/4.10 [weight('<59,401,22,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.403.2.0',plain,
% 3.70/4.10 ( converse(meet(X1,converse(X2))) = meet(converse(X1),X2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.403.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_400]).
% 3.70/4.10 cnf('0.408.0.0',plain,
% 3.70/4.10 ( complement(converse(meet(X1,complement(X2)))) = converse(join(X2,complement(X1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.374.2.0','0.164.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.408.1.0',plain,
% 3.70/4.10 ( complement(converse(meet(X1,complement(X2)))) = converse(join(X2,complement(X1))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.408.0.0']),
% 3.70/4.10 [weight('<83,374,164,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.408.2.0',plain,
% 3.70/4.10 ( complement(converse(meet(X1,complement(X2)))) = converse(join(X2,complement(X1))) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.408.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_405]).
% 3.70/4.10 cnf('0.443.0.0',plain,
% 3.70/4.10 ( meet(X1,X2) = meet(meet(X1,X2),join(X2,X3)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.277.2.0','0.318.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.443.1.0',plain,
% 3.70/4.10 ( meet(X1,X2) = meet(meet(X1,X2),join(X2,X3)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.443.0.0']),
% 3.70/4.10 [weight('<87,318,277,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.443.2.0',plain,
% 3.70/4.10 ( meet(meet(X1,X2),join(X2,X3)) = meet(X1,X2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.443.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_440]).
% 3.70/4.10 cnf('0.520.0.0',plain,
% 3.70/4.10 ( composition(meet(X1,composition(X2,converse(one))),meet(one,composition(converse(X1),X2))) = join(meet(X1,X2),composition(meet(X1,composition(X2,converse(one))),meet(one,composition(converse(X1),X2)))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.1','L')]).
% 3.70/4.10 cnf('0.520.1.0',plain,
% 3.70/4.10 ( composition(meet(X1,composition(X2,converse(one))),meet(one,composition(converse(X1),X2))) = join(meet(X1,X2),composition(meet(X1,composition(X2,converse(one))),meet(one,composition(converse(X1),X2)))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.520.0.0']),
% 3.70/4.10 [weight('<?,7,1,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.520.1.1',plain,
% 3.70/4.10 ( composition(meet(X1,composition(X2,one)),meet(one,composition(converse(X1),X2))) = join(meet(X1,X2),composition(meet(X1,composition(X2,converse(one))),meet(one,composition(converse(X1),X2)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.520.1.0','0.42.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.2.2','L')]).
% 3.70/4.10 cnf('0.520.1.2',plain,
% 3.70/4.10 ( composition(meet(X1,X2),meet(one,composition(converse(X1),X2))) = join(meet(X1,X2),composition(meet(X1,composition(X2,converse(one))),meet(one,composition(converse(X1),X2)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.520.1.1','0.1.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.2','L')]).
% 3.70/4.10 cnf('0.520.1.3',plain,
% 3.70/4.10 ( composition(meet(X1,X2),meet(one,composition(converse(X1),X2))) = join(meet(X1,X2),composition(meet(X1,composition(X2,one)),meet(one,composition(converse(X1),X2)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.520.1.2','0.42.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.1.2.2','L')]).
% 3.70/4.10 cnf('0.520.1.4',plain,
% 3.70/4.10 ( composition(meet(X1,X2),meet(one,composition(converse(X1),X2))) = join(meet(X1,X2),composition(meet(X1,X2),meet(one,composition(converse(X1),X2)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.520.1.3','0.1.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.1.2','L')]).
% 3.70/4.10 cnf('0.520.2.0',plain,
% 3.70/4.10 ( join(meet(X1,X2),composition(meet(X1,X2),meet(one,composition(converse(X1),X2)))) = composition(meet(X1,X2),meet(one,composition(converse(X1),X2))) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.520.1.4',theory(equality)]),
% 3.70/4.10 [x,rule_517]).
% 3.70/4.10 cnf('0.521.0.0',plain,
% 3.70/4.10 ( composition(meet(sk1,one),meet(one,composition(converse(sk1),one))) = join(sk1,composition(meet(sk1,one),meet(one,composition(converse(sk1),one)))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.520.2.0','0.140.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.521.0.1',plain,
% 3.70/4.10 ( composition(sk1,meet(one,composition(converse(sk1),one))) = join(sk1,composition(meet(sk1,one),meet(one,composition(converse(sk1),one)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.521.0.0','0.140.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.521.0.2',plain,
% 3.70/4.10 ( composition(sk1,meet(one,converse(sk1))) = join(sk1,composition(meet(sk1,one),meet(one,composition(converse(sk1),one)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.521.0.1','0.1.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2','L')]).
% 3.70/4.10 cnf('0.521.0.3',plain,
% 3.70/4.10 ( composition(sk1,converse(sk1)) = join(sk1,composition(meet(sk1,one),meet(one,composition(converse(sk1),one)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.521.0.2','0.215.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.521.0.4',plain,
% 3.70/4.10 ( composition(sk1,converse(sk1)) = join(sk1,composition(sk1,meet(one,composition(converse(sk1),one)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.521.0.3','0.140.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.1','L')]).
% 3.70/4.10 cnf('0.521.0.5',plain,
% 3.70/4.10 ( composition(sk1,converse(sk1)) = join(sk1,composition(sk1,meet(one,converse(sk1)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.521.0.4','0.1.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.2.2','L')]).
% 3.70/4.10 cnf('0.521.0.6',plain,
% 3.70/4.10 ( composition(sk1,converse(sk1)) = join(sk1,composition(sk1,converse(sk1))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.521.0.5','0.215.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.2','L')]).
% 3.70/4.10 cnf('0.521.1.0',plain,
% 3.70/4.10 ( composition(sk1,converse(sk1)) = join(sk1,composition(sk1,converse(sk1))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.521.0.6']),
% 3.70/4.10 [weight('<76,520,140,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.521.2.0',plain,
% 3.70/4.10 ( join(sk1,composition(sk1,converse(sk1))) = composition(sk1,converse(sk1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.521.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_518]).
% 3.70/4.10 cnf('0.522.0.0',plain,
% 3.70/4.10 ( sk1 = meet(sk1,composition(sk1,converse(sk1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.213.2.0','0.521.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.522.1.0',plain,
% 3.70/4.10 ( sk1 = meet(sk1,composition(sk1,converse(sk1))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.522.0.0']),
% 3.70/4.10 [weight('<55,521,213,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.522.2.0',plain,
% 3.70/4.10 ( meet(sk1,composition(sk1,converse(sk1))) = sk1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.522.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_519]).
% 3.70/4.10 cnf('0.525.0.0',plain,
% 3.70/4.10 ( composition(meet(sk2,one),meet(one,composition(converse(sk2),one))) = join(sk2,composition(meet(sk2,one),meet(one,composition(converse(sk2),one)))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.520.2.0','0.145.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.525.0.1',plain,
% 3.70/4.10 ( composition(sk2,meet(one,composition(converse(sk2),one))) = join(sk2,composition(meet(sk2,one),meet(one,composition(converse(sk2),one)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.525.0.0','0.145.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.525.0.2',plain,
% 3.70/4.10 ( composition(sk2,meet(one,converse(sk2))) = join(sk2,composition(meet(sk2,one),meet(one,composition(converse(sk2),one)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.525.0.1','0.1.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2','L')]).
% 3.70/4.10 cnf('0.525.0.3',plain,
% 3.70/4.10 ( composition(sk2,converse(sk2)) = join(sk2,composition(meet(sk2,one),meet(one,composition(converse(sk2),one)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.525.0.2','0.216.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.525.0.4',plain,
% 3.70/4.10 ( composition(sk2,converse(sk2)) = join(sk2,composition(sk2,meet(one,composition(converse(sk2),one)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.525.0.3','0.145.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.1','L')]).
% 3.70/4.10 cnf('0.525.0.5',plain,
% 3.70/4.10 ( composition(sk2,converse(sk2)) = join(sk2,composition(sk2,meet(one,converse(sk2)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.525.0.4','0.1.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.2.2','L')]).
% 3.70/4.10 cnf('0.525.0.6',plain,
% 3.70/4.10 ( composition(sk2,converse(sk2)) = join(sk2,composition(sk2,converse(sk2))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.525.0.5','0.216.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.2','L')]).
% 3.70/4.10 cnf('0.525.1.0',plain,
% 3.70/4.10 ( composition(sk2,converse(sk2)) = join(sk2,composition(sk2,converse(sk2))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.525.0.6']),
% 3.70/4.10 [weight('<76,520,145,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.525.2.0',plain,
% 3.70/4.10 ( join(sk2,composition(sk2,converse(sk2))) = composition(sk2,converse(sk2)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.525.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_522]).
% 3.70/4.10 cnf('0.526.0.0',plain,
% 3.70/4.10 ( sk2 = meet(sk2,composition(sk2,converse(sk2))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.213.2.0','0.525.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.526.1.0',plain,
% 3.70/4.10 ( sk2 = meet(sk2,composition(sk2,converse(sk2))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.526.0.0']),
% 3.70/4.10 [weight('<55,525,213,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.526.2.0',plain,
% 3.70/4.10 ( meet(sk2,composition(sk2,converse(sk2))) = sk2 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.526.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_523]).
% 3.70/4.10 cnf('0.677.0.0',plain,
% 3.70/4.10 ( meet(X1,join(X2,X1)) = meet(join(X2,X1),join(X1,complement(X2))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.327.2.0','0.363.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.677.0.1',plain,
% 3.70/4.10 ( X1 = meet(join(X2,X1),join(X1,complement(X2))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.677.0.0','0.217.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.677.1.0',plain,
% 3.70/4.10 ( X1 = meet(join(X2,X1),join(X1,complement(X2))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.677.0.1']),
% 3.70/4.10 [weight('<89,363,327,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.677.2.0',plain,
% 3.70/4.10 ( meet(join(X1,X2),join(X2,complement(X1))) = X2 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.677.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_674]).
% 3.70/4.10 cnf('0.749.0.0',plain,
% 3.70/4.10 ( meet(sk1,composition(sk1,converse(sk1))) = meet(sk1,join(composition(sk1,converse(sk1)),X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.443.2.0','0.522.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.749.0.1',plain,
% 3.70/4.10 ( sk1 = meet(sk1,join(composition(sk1,converse(sk1)),X1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.749.0.0','0.522.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.749.1.0',plain,
% 3.70/4.10 ( sk1 = meet(sk1,join(composition(sk1,converse(sk1)),X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.749.0.1']),
% 3.70/4.10 [weight('<89,522,443,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.749.2.0',plain,
% 3.70/4.10 ( meet(sk1,join(composition(sk1,converse(sk1)),X1)) = sk1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.749.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_746]).
% 3.70/4.10 cnf('0.751.0.0',plain,
% 3.70/4.10 ( meet(sk2,composition(sk2,converse(sk2))) = meet(sk2,join(composition(sk2,converse(sk2)),X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.443.2.0','0.526.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.751.0.1',plain,
% 3.70/4.10 ( sk2 = meet(sk2,join(composition(sk2,converse(sk2)),X1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.751.0.0','0.526.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.751.1.0',plain,
% 3.70/4.10 ( sk2 = meet(sk2,join(composition(sk2,converse(sk2)),X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.751.0.1']),
% 3.70/4.10 [weight('<89,526,443,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.751.2.0',plain,
% 3.70/4.10 ( meet(sk2,join(composition(sk2,converse(sk2)),X1)) = sk2 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.751.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_748]).
% 3.70/4.10 cnf('0.851.0.0',plain,
% 3.70/4.10 ( X1 = meet(join(X2,X1),join(complement(X2),X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.677.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.851.1.0',plain,
% 3.70/4.10 ( X1 = meet(join(X2,X1),join(complement(X2),X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.851.0.0']),
% 3.70/4.10 [weight('<89,677,8,[1,0,0,4]>')]).
% 3.70/4.10 cnf('0.851.2.0',plain,
% 3.70/4.10 ( meet(join(X1,X2),join(complement(X1),X2)) = X2 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.851.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_848]).
% 3.70/4.10 cnf('0.884.0.0',plain,
% 3.70/4.10 ( sk1 = meet(sk1,composition(join(sk1,X1),converse(sk1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.749.2.0','0.5.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.884.1.0',plain,
% 3.70/4.10 ( sk1 = meet(sk1,composition(join(sk1,X1),converse(sk1))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.884.0.0']),
% 3.70/4.10 [weight('<89,749,5,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.884.2.0',plain,
% 3.70/4.10 ( meet(sk1,composition(join(sk1,X1),converse(sk1))) = sk1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.884.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_881]).
% 3.70/4.10 cnf('0.885.0.0',plain,
% 3.70/4.10 ( sk1 = meet(sk1,composition(one,converse(sk1))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.884.2.0','0.15.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.1','L')]).
% 3.70/4.10 cnf('0.885.0.1',plain,
% 3.70/4.10 ( sk1 = meet(sk1,converse(sk1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.885.0.0','0.43.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.885.1.0',plain,
% 3.70/4.10 ( sk1 = meet(sk1,converse(sk1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.885.0.1']),
% 3.70/4.10 [weight('<29,884,15,[1,0,0,3]>')]).
% 3.70/4.10 cnf('0.885.2.0',plain,
% 3.70/4.10 ( meet(sk1,converse(sk1)) = sk1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.885.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_882]).
% 3.70/4.10 cnf('0.886.0.0',plain,
% 3.70/4.10 ( converse(sk1) = join(converse(sk1),sk1) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.110.2.0','0.885.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.886.1.0',plain,
% 3.70/4.10 ( converse(sk1) = join(converse(sk1),sk1) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.886.0.0']),
% 3.70/4.10 [weight('<34,885,110,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.886.1.1',plain,
% 3.70/4.10 ( converse(sk1) = join(sk1,converse(sk1)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.886.1.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.886.2.0',plain,
% 3.70/4.10 ( join(sk1,converse(sk1)) = converse(sk1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.886.1.1',theory(equality)]),
% 3.70/4.10 [x,rule_883]).
% 3.70/4.10 cnf('0.887.0.0',plain,
% 3.70/4.10 ( join(converse(sk1),sk1) = converse(converse(sk1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.60.2.0','0.886.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.887.0.1',plain,
% 3.70/4.10 ( join(converse(sk1),sk1) = sk1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.887.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.887.1.0',plain,
% 3.70/4.10 ( join(converse(sk1),sk1) = sk1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.887.0.1']),
% 3.70/4.10 [weight('<29,886,60,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.887.1.1',plain,
% 3.70/4.10 ( join(sk1,converse(sk1)) = sk1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.887.1.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.887.1.2',plain,
% 3.70/4.10 ( converse(sk1) = sk1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.887.1.1','0.886.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.887.2.0',plain,
% 3.70/4.10 ( converse(sk1) = sk1 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.887.1.2',theory(equality)]),
% 3.70/4.10 [u,rule_884]).
% 3.70/4.10 cnf('0.888.0.0',plain,
% 3.70/4.10 ( converse(composition(X1,sk1)) = composition(sk1,converse(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.6.2.0','0.887.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.888.1.0',plain,
% 3.70/4.10 ( converse(composition(X1,sk1)) = composition(sk1,converse(X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.888.0.0']),
% 3.70/4.10 [weight('<44,887,6,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.888.2.0',plain,
% 3.70/4.10 ( converse(composition(X1,sk1)) = composition(sk1,converse(X1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.888.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_885]).
% 3.70/4.10 cnf('0.890.0.0',plain,
% 3.70/4.10 ( converse(join(sk1,X1)) = join(sk1,converse(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.12.2.0','0.887.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.890.1.0',plain,
% 3.70/4.10 ( converse(join(sk1,X1)) = join(sk1,converse(X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.890.0.0']),
% 3.70/4.10 [weight('<44,887,12,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.890.2.0',plain,
% 3.70/4.10 ( converse(join(sk1,X1)) = join(sk1,converse(X1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.890.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_887]).
% 3.70/4.10 cnf('0.949.0.0',plain,
% 3.70/4.10 ( sk2 = meet(sk2,composition(join(sk2,X1),converse(sk2))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.751.2.0','0.5.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.949.1.0',plain,
% 3.70/4.10 ( sk2 = meet(sk2,composition(join(sk2,X1),converse(sk2))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.949.0.0']),
% 3.70/4.10 [weight('<89,751,5,[1,0,0,2]>')]).
% 3.70/4.10 cnf('0.949.2.0',plain,
% 3.70/4.10 ( meet(sk2,composition(join(sk2,X1),converse(sk2))) = sk2 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.949.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_946]).
% 3.70/4.10 cnf('0.950.0.0',plain,
% 3.70/4.10 ( sk2 = meet(sk2,composition(one,converse(sk2))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.949.2.0','0.16.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.1','L')]).
% 3.70/4.10 cnf('0.950.0.1',plain,
% 3.70/4.10 ( sk2 = meet(sk2,converse(sk2)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.950.0.0','0.43.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.950.1.0',plain,
% 3.70/4.10 ( sk2 = meet(sk2,converse(sk2)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.950.0.1']),
% 3.70/4.10 [weight('<29,949,16,[1,0,0,3]>')]).
% 3.70/4.10 cnf('0.950.2.0',plain,
% 3.70/4.10 ( meet(sk2,converse(sk2)) = sk2 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.950.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_947]).
% 3.70/4.10 cnf('0.951.0.0',plain,
% 3.70/4.10 ( converse(sk2) = join(converse(sk2),sk2) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.110.2.0','0.950.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.951.1.0',plain,
% 3.70/4.10 ( converse(sk2) = join(converse(sk2),sk2) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.951.0.0']),
% 3.70/4.10 [weight('<34,950,110,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.951.1.1',plain,
% 3.70/4.10 ( converse(sk2) = join(sk2,converse(sk2)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.951.1.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.951.2.0',plain,
% 3.70/4.10 ( join(sk2,converse(sk2)) = converse(sk2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.951.1.1',theory(equality)]),
% 3.70/4.10 [x,rule_948]).
% 3.70/4.10 cnf('0.952.0.0',plain,
% 3.70/4.10 ( join(converse(sk2),sk2) = converse(converse(sk2)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.60.2.0','0.951.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.952.0.1',plain,
% 3.70/4.10 ( join(converse(sk2),sk2) = sk2 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.952.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.952.1.0',plain,
% 3.70/4.10 ( join(converse(sk2),sk2) = sk2 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.952.0.1']),
% 3.70/4.10 [weight('<29,951,60,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.952.1.1',plain,
% 3.70/4.10 ( join(sk2,converse(sk2)) = sk2 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.952.1.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.952.1.2',plain,
% 3.70/4.10 ( converse(sk2) = sk2 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.952.1.1','0.951.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.952.2.0',plain,
% 3.70/4.10 ( converse(sk2) = sk2 ),
% 3.70/4.10 inference(orient,[status(thm)],['0.952.1.2',theory(equality)]),
% 3.70/4.10 [u,rule_949]).
% 3.70/4.10 cnf('0.954.0.0',plain,
% 3.70/4.10 ( converse(composition(sk2,X1)) = composition(converse(X1),sk2) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.6.2.0','0.952.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.954.1.0',plain,
% 3.70/4.10 ( converse(composition(sk2,X1)) = composition(converse(X1),sk2) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.954.0.0']),
% 3.70/4.10 [weight('<44,952,6,[0,0,0,3]>')]).
% 3.70/4.10 cnf('0.954.2.0',plain,
% 3.70/4.10 ( converse(composition(sk2,X1)) = composition(converse(X1),sk2) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.954.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_951]).
% 3.70/4.10 cnf('0.959.0.0',plain,
% 3.70/4.10 ( converse(meet(X1,sk2)) = meet(sk2,converse(X1)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.402.2.0','0.952.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.959.1.0',plain,
% 3.70/4.10 ( converse(meet(X1,sk2)) = meet(sk2,converse(X1)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.959.0.0']),
% 3.70/4.10 [weight('<44,952,402,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.959.2.0',plain,
% 3.70/4.10 ( converse(meet(X1,sk2)) = meet(sk2,converse(X1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.959.1.0',theory(equality)]),
% 3.70/4.10 [u,rule_956]).
% 3.70/4.10 cnf('0.1081.0.0',plain,
% 3.70/4.10 ( join(X1,join(X2,X3)) = join(join(X2,X1),X3) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.9.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.1081.0.1',plain,
% 3.70/4.10 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1081.0.0','0.9.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.1081.1.0',plain,
% 3.70/4.10 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1081.0.1']),
% 3.70/4.10 [weight('<?,9,8,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.1081.2.0',plain,
% 3.70/4.10 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 3.70/4.10 inference(activate,[status(thm)],['0.1081.1.0']),
% 3.70/4.10 [equation_5]).
% 3.70/4.10 cnf('0.1183.0.0',plain,
% 3.70/4.10 ( complement(X1) = join(complement(X1),composition(X2,complement(composition(converse(X2),X1)))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.1','L')]).
% 3.70/4.10 cnf('0.1183.1.0',plain,
% 3.70/4.10 ( complement(X1) = join(complement(X1),composition(X2,complement(composition(converse(X2),X1)))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1183.0.0']),
% 3.70/4.10 [weight('<?,11,3,[1,0,0,4]>')]).
% 3.70/4.10 cnf('0.1183.2.0',plain,
% 3.70/4.10 ( join(complement(X1),composition(X2,complement(composition(converse(X2),X1)))) = complement(X1) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.1183.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_1178]).
% 3.70/4.10 cnf('0.1277.0.0',plain,
% 3.70/4.10 ( complement(top) = join(zero,composition(X1,complement(composition(converse(X1),top)))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.1183.2.0','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.1277.0.1',plain,
% 3.70/4.10 ( zero = join(zero,composition(X1,complement(composition(converse(X1),top)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1277.0.0','0.19.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.1277.0.2',plain,
% 3.70/4.10 ( zero = composition(X1,complement(composition(converse(X1),top))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1277.0.1','0.65.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.1277.1.0',plain,
% 3.70/4.10 ( zero = composition(X1,complement(composition(converse(X1),top))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1277.0.2']),
% 3.70/4.10 [weight('<71,1183,19,[1,0,0,1]>')]).
% 3.70/4.10 cnf('0.1277.2.0',plain,
% 3.70/4.10 ( composition(X1,complement(composition(converse(X1),top))) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.1277.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_1272]).
% 3.70/4.10 cnf('0.1280.0.0',plain,
% 3.70/4.10 ( zero = composition(top,complement(composition(top,top))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.1277.2.0','0.107.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.1.1','L')]).
% 3.70/4.10 cnf('0.1280.1.0',plain,
% 3.70/4.10 ( zero = composition(top,complement(composition(top,top))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1280.0.0']),
% 3.70/4.10 [weight('<55,1277,107,[1,0,0,4]>')]).
% 3.70/4.10 cnf('0.1280.2.0',plain,
% 3.70/4.10 ( composition(top,complement(composition(top,top))) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.1280.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_1275]).
% 3.70/4.10 cnf('0.1285.0.0',plain,
% 3.70/4.10 ( complement(converse(X1)) = join(complement(converse(X1)),composition(converse(converse(X2)),complement(converse(composition(X1,X2))))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.11.2.0','0.6.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2.1','L')]).
% 3.70/4.10 cnf('0.1285.0.1',plain,
% 3.70/4.10 ( complement(converse(X1)) = join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1285.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2.1','L')]).
% 3.70/4.10 cnf('0.1285.1.0',plain,
% 3.70/4.10 ( complement(converse(X1)) = join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1285.0.1']),
% 3.70/4.10 [weight('<?,11,6,[1,0,0,7]>')]).
% 3.70/4.10 cnf('0.1285.2.0',plain,
% 3.70/4.10 ( join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) = complement(converse(X1)) ),
% 3.70/4.10 inference(orient,[status(thm)],['0.1285.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_1280]).
% 3.70/4.10 cnf('0.1289.0.0',plain,
% 3.70/4.10 ( composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.5.2.0','0.1280.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.1289.0.1',plain,
% 3.70/4.10 ( composition(top,complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1289.0.0','0.101.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1','L')]).
% 3.70/4.10 cnf('0.1289.0.2',plain,
% 3.70/4.10 ( zero = join(zero,composition(X1,complement(composition(top,top)))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1289.0.1','0.1280.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.1289.0.3',plain,
% 3.70/4.10 ( zero = composition(X1,complement(composition(top,top))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1289.0.2','0.65.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.1289.1.0',plain,
% 3.70/4.10 ( zero = composition(X1,complement(composition(top,top))) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1289.0.3']),
% 3.70/4.10 [weight('<55,1280,5,[0,0,0,1]>')]).
% 3.70/4.10 cnf('0.1289.2.0',plain,
% 3.70/4.10 ( composition(X1,complement(composition(top,top))) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.1289.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_1284]).
% 3.70/4.10 cnf('0.1290.0.0',plain,
% 3.70/4.10 ( zero = composition(X1,composition(X2,complement(composition(top,top)))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.1289.2.0','0.4.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.1290.0.1',plain,
% 3.70/4.10 ( zero = composition(X1,zero) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1290.0.0','0.1289.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.2','L')]).
% 3.70/4.10 cnf('0.1290.1.0',plain,
% 3.70/4.10 ( zero = composition(X1,zero) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1290.0.1']),
% 3.70/4.10 [weight('<19,1289,4,[1,0,0,0]>')]).
% 3.70/4.10 cnf('0.1290.2.0',plain,
% 3.70/4.10 ( composition(X1,zero) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.1290.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_1285]).
% 3.70/4.10 cnf('0.1292.0.0',plain,
% 3.70/4.10 ( zero = complement(composition(top,top)) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.1289.2.0','0.43.2.0',theory(equality)]),
% 3.70/4.10 [pos('L','L')]).
% 3.70/4.10 cnf('0.1292.1.0',plain,
% 3.70/4.10 ( zero = complement(composition(top,top)) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1292.0.0']),
% 3.70/4.10 [weight('<29,1289,43,[1,0,0,0]>')]).
% 3.70/4.10 cnf('0.1292.2.0',plain,
% 3.70/4.10 ( complement(composition(top,top)) = zero ),
% 3.70/4.10 inference(orient,[status(thm)],['0.1292.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_1287]).
% 3.70/4.10 cnf('0.1293.0.0',plain,
% 3.70/4.10 ( top = join(composition(top,top),zero) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.10.2.0','0.1292.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.1293.0.1',plain,
% 3.70/4.10 ( top = composition(top,top) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1293.0.0','0.68.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.1293.1.0',plain,
% 3.70/4.10 ( top = composition(top,top) ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1293.0.1']),
% 3.70/4.10 [weight('<19,1292,10,[0,0,0,2]>')]).
% 3.70/4.10 cnf('0.1293.2.0',plain,
% 3.70/4.10 ( composition(top,top) = top ),
% 3.70/4.10 inference(orient,[status(thm)],['0.1293.1.0',theory(equality)]),
% 3.70/4.10 [x,rule_1288]).
% 3.70/4.10 cnf('0.1294.0.0',plain,
% 3.70/4.10 ( meet(X1,composition(meet(top,composition(X1,converse(top))),top)) = join(meet(top,X1),meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 3.70/4.10 inference(cp,[status(thm)],['0.163.2.0','0.1293.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.1.1','L')]).
% 3.70/4.10 cnf('0.1294.0.1',plain,
% 3.70/4.10 ( meet(X1,composition(composition(X1,converse(top)),top)) = join(meet(top,X1),meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1294.0.0','0.73.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.1','L')]).
% 3.70/4.10 cnf('0.1294.0.2',plain,
% 3.70/4.10 ( meet(X1,composition(X1,composition(converse(top),top))) = join(meet(top,X1),meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1294.0.1','0.4.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2','L')]).
% 3.70/4.10 cnf('0.1294.0.3',plain,
% 3.70/4.10 ( meet(X1,composition(X1,composition(top,top))) = join(meet(top,X1),meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1294.0.2','0.107.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2.1','L')]).
% 3.70/4.10 cnf('0.1294.0.4',plain,
% 3.70/4.10 ( meet(X1,composition(X1,top)) = join(meet(top,X1),meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1294.0.3','0.1293.2.0',theory(equality)]),
% 3.70/4.10 [pos('L.2.2','L')]).
% 3.70/4.10 cnf('0.1294.0.5',plain,
% 3.70/4.10 ( meet(X1,composition(X1,top)) = join(X1,meet(X1,composition(meet(top,composition(X1,converse(top))),top))) ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1294.0.4','0.73.2.0',theory(equality)]),
% 3.70/4.10 [pos('R.1','L')]).
% 3.70/4.10 cnf('0.1294.0.6',plain,
% 3.70/4.10 ( meet(X1,composition(X1,top)) = X1 ),
% 3.70/4.10 inference(reduction,[status(thm)],['0.1294.0.5','0.109.2.0',theory(equality)]),
% 3.70/4.10 [pos('R','L')]).
% 3.70/4.10 cnf('0.1294.1.0',plain,
% 3.70/4.10 ( meet(X1,composition(X1,top)) = X1 ),
% 3.70/4.10 inference(weigh,[status(thm)],['0.1294.0.6']),
% 3.70/4.10 [weight('<41,1293,163,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.1294.2.0',plain,
% 3.70/4.11 ( meet(X1,composition(X1,top)) = X1 ),
% 3.70/4.11 inference(orient,[status(thm)],['0.1294.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_1289]).
% 3.70/4.11 cnf('0.1297.0.0',plain,
% 3.70/4.11 ( composition(X1,top) = join(composition(X1,top),X1) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.110.2.0','0.1294.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.1297.1.0',plain,
% 3.70/4.11 ( composition(X1,top) = join(composition(X1,top),X1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.1297.0.0']),
% 3.70/4.11 [weight('<53,1294,110,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.1297.1.1',plain,
% 3.70/4.11 ( composition(X1,top) = join(X1,composition(X1,top)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.1297.1.0','0.8.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.1297.2.0',plain,
% 3.70/4.11 ( join(X1,composition(X1,top)) = composition(X1,top) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.1297.1.1',theory(equality)]),
% 3.70/4.11 [x,rule_1292]).
% 3.70/4.11 cnf('0.2386.0.0',plain,
% 3.70/4.11 ( join(join(complement(sk1),X1),complement(one)) = join(join(complement(sk1),X1),complement(top)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.363.2.0','0.131.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.2386.0.1',plain,
% 3.70/4.11 ( join(complement(sk1),join(X1,complement(one))) = join(join(complement(sk1),X1),complement(top)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2386.0.0','0.9.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.2386.0.2',plain,
% 3.70/4.11 ( join(complement(sk1),join(X1,complement(one))) = join(complement(sk1),join(X1,complement(top))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2386.0.1','0.9.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2386.0.3',plain,
% 3.70/4.11 ( join(complement(sk1),join(X1,complement(one))) = join(complement(sk1),join(X1,zero)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2386.0.2','0.19.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.2','L')]).
% 3.70/4.11 cnf('0.2386.0.4',plain,
% 3.70/4.11 ( join(complement(sk1),join(X1,complement(one))) = join(complement(sk1),X1) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2386.0.3','0.68.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2','L')]).
% 3.70/4.11 cnf('0.2386.1.0',plain,
% 3.70/4.11 ( join(complement(sk1),join(X1,complement(one))) = join(complement(sk1),X1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2386.0.4']),
% 3.70/4.11 [weight('<95,363,131,[1,0,0,3]>')]).
% 3.70/4.11 cnf('0.2386.2.0',plain,
% 3.70/4.11 ( join(complement(sk1),join(X1,complement(one))) = join(complement(sk1),X1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2386.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_2381]).
% 3.70/4.11 cnf('0.2387.0.0',plain,
% 3.70/4.11 ( meet(join(X1,complement(one)),sk1) = meet(sk1,join(complement(sk1),X1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.328.2.0','0.2386.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.2387.0.1',plain,
% 3.70/4.11 ( meet(join(X1,complement(one)),sk1) = meet(X1,sk1) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2387.0.0','0.328.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2387.1.0',plain,
% 3.70/4.11 ( meet(join(X1,complement(one)),sk1) = meet(X1,sk1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2387.0.1']),
% 3.70/4.11 [weight('<69,2386,328,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.2387.1.1',plain,
% 3.70/4.11 ( meet(sk1,join(X1,complement(one))) = meet(X1,sk1) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2387.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.2387.2.0',plain,
% 3.70/4.11 ( meet(sk1,join(X1,complement(one))) = meet(X1,sk1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2387.1.1',theory(equality)]),
% 3.70/4.11 [u,rule_2382]).
% 3.70/4.11 cnf('0.2388.0.0',plain,
% 3.70/4.11 ( meet(X1,sk1) = meet(sk1,join(complement(one),X1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.2387.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.2388.1.0',plain,
% 3.70/4.11 ( meet(X1,sk1) = meet(sk1,join(complement(one),X1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2388.0.0']),
% 3.70/4.11 [weight('<69,2387,8,[1,0,0,2]>')]).
% 3.70/4.11 cnf('0.2388.2.0',plain,
% 3.70/4.11 ( meet(sk1,join(complement(one),X1)) = meet(X1,sk1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2388.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_2383]).
% 3.70/4.11 cnf('0.2391.0.0',plain,
% 3.70/4.11 ( meet(composition(converse(X1),complement(composition(X1,one))),sk1) = meet(sk1,complement(one)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.2388.2.0','0.11.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.2391.0.1',plain,
% 3.70/4.11 ( meet(composition(converse(X1),complement(X1)),sk1) = meet(sk1,complement(one)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2391.0.0','0.1.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1.2.1','L')]).
% 3.70/4.11 cnf('0.2391.0.2',plain,
% 3.70/4.11 ( meet(composition(converse(X1),complement(X1)),sk1) = zero ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2391.0.1','0.150.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2391.1.0',plain,
% 3.70/4.11 ( meet(composition(converse(X1),complement(X1)),sk1) = zero ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2391.0.2']),
% 3.70/4.11 [weight('<71,2388,11,[1,0,0,2]>')]).
% 3.70/4.11 cnf('0.2391.1.1',plain,
% 3.70/4.11 ( meet(sk1,composition(converse(X1),complement(X1))) = zero ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2391.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.2391.2.0',plain,
% 3.70/4.11 ( meet(sk1,composition(converse(X1),complement(X1))) = zero ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2391.1.1',theory(equality)]),
% 3.70/4.11 [u,rule_2386]).
% 3.70/4.11 cnf('0.2392.0.0',plain,
% 3.70/4.11 ( composition(meet(X1,composition(complement(X1),converse(sk1))),meet(sk1,composition(converse(X1),complement(X1)))) = join(meet(composition(X1,sk1),complement(X1)),composition(meet(X1,composition(complement(X1),converse(sk1))),zero)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.7.2.0','0.2391.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.2','L')]).
% 3.70/4.11 cnf('0.2392.0.1',plain,
% 3.70/4.11 ( composition(meet(X1,composition(complement(X1),sk1)),meet(sk1,composition(converse(X1),complement(X1)))) = join(meet(composition(X1,sk1),complement(X1)),composition(meet(X1,composition(complement(X1),converse(sk1))),zero)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2392.0.0','0.887.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1.2.2','L')]).
% 3.70/4.11 cnf('0.2392.0.2',plain,
% 3.70/4.11 ( composition(meet(X1,composition(complement(X1),sk1)),zero) = join(meet(composition(X1,sk1),complement(X1)),composition(meet(X1,composition(complement(X1),converse(sk1))),zero)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2392.0.1','0.2391.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.2392.0.3',plain,
% 3.70/4.11 ( zero = join(meet(composition(X1,sk1),complement(X1)),composition(meet(X1,composition(complement(X1),converse(sk1))),zero)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2392.0.2','0.1290.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.2392.0.4',plain,
% 3.70/4.11 ( zero = join(meet(composition(X1,sk1),complement(X1)),zero) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2392.0.3','0.1290.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2','L')]).
% 3.70/4.11 cnf('0.2392.0.5',plain,
% 3.70/4.11 ( zero = meet(composition(X1,sk1),complement(X1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2392.0.4','0.68.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2392.1.0',plain,
% 3.70/4.11 ( zero = meet(composition(X1,sk1),complement(X1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2392.0.5']),
% 3.70/4.11 [weight('<55,2391,7,[0,0,0,13]>')]).
% 3.70/4.11 cnf('0.2392.1.1',plain,
% 3.70/4.11 ( zero = meet(complement(X1),composition(X1,sk1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2392.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2392.2.0',plain,
% 3.70/4.11 ( meet(complement(X1),composition(X1,sk1)) = zero ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2392.1.1',theory(equality)]),
% 3.70/4.11 [x,rule_2387]).
% 3.70/4.11 cnf('0.2393.0.0',plain,
% 3.70/4.11 ( join(X1,composition(X1,sk1)) = join(X1,zero) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.319.2.0','0.2392.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.2393.0.1',plain,
% 3.70/4.11 ( join(X1,composition(X1,sk1)) = X1 ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2393.0.0','0.68.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2393.1.0',plain,
% 3.70/4.11 ( join(X1,composition(X1,sk1)) = X1 ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2393.0.1']),
% 3.70/4.11 [weight('<41,2392,319,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.2393.2.0',plain,
% 3.70/4.11 ( join(X1,composition(X1,sk1)) = X1 ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2393.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_2388]).
% 3.70/4.11 cnf('0.2394.0.0',plain,
% 3.70/4.11 ( join(X1,converse(composition(converse(X1),sk1))) = converse(converse(X1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.59.2.0','0.2393.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('0.2394.0.1',plain,
% 3.70/4.11 ( join(X1,composition(converse(sk1),X1)) = converse(converse(X1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2394.0.0','0.40.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.2394.0.2',plain,
% 3.70/4.11 ( join(X1,composition(sk1,X1)) = converse(converse(X1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2394.0.1','0.887.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.2394.0.3',plain,
% 3.70/4.11 ( join(X1,composition(sk1,X1)) = X1 ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2394.0.2','0.3.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2394.1.0',plain,
% 3.70/4.11 ( join(X1,composition(sk1,X1)) = X1 ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2394.0.3']),
% 3.70/4.11 [weight('<41,2393,59,[0,0,0,1]>')]).
% 3.70/4.11 cnf('0.2394.2.0',plain,
% 3.70/4.11 ( join(X1,composition(sk1,X1)) = X1 ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2394.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_2389]).
% 3.70/4.11 cnf('0.2406.0.0',plain,
% 3.70/4.11 ( join(X1,composition(meet(X1,X2),sk1)) = join(X1,meet(X1,X2)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.304.2.0','0.2393.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.2406.0.1',plain,
% 3.70/4.11 ( join(X1,composition(meet(X1,X2),sk1)) = X1 ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2406.0.0','0.109.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2406.1.0',plain,
% 3.70/4.11 ( join(X1,composition(meet(X1,X2),sk1)) = X1 ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2406.0.1']),
% 3.70/4.11 [weight('<71,2393,304,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.2406.2.0',plain,
% 3.70/4.11 ( join(X1,composition(meet(X1,X2),sk1)) = X1 ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2406.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_2401]).
% 3.70/4.11 cnf('0.2425.0.0',plain,
% 3.70/4.11 ( join(X1,join(composition(X1,sk1),X2)) = join(X1,X2) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.9.2.0','0.2393.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('0.2425.1.0',plain,
% 3.70/4.11 ( join(X1,join(composition(X1,sk1),X2)) = join(X1,X2) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2425.0.0']),
% 3.70/4.11 [weight('<87,2393,9,[0,0,0,1]>')]).
% 3.70/4.11 cnf('0.2425.2.0',plain,
% 3.70/4.11 ( join(X1,join(composition(X1,sk1),X2)) = join(X1,X2) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2425.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_2420]).
% 3.70/4.11 cnf('0.2430.0.0',plain,
% 3.70/4.11 ( composition(sk1,X1) = meet(composition(sk1,X1),join(X2,X1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.267.2.0','0.2394.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.2','L')]).
% 3.70/4.11 cnf('0.2430.1.0',plain,
% 3.70/4.11 ( composition(sk1,X1) = meet(composition(sk1,X1),join(X2,X1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2430.0.0']),
% 3.70/4.11 [weight('<87,2394,267,[0,0,0,4]>')]).
% 3.70/4.11 cnf('0.2430.2.0',plain,
% 3.70/4.11 ( meet(composition(sk1,X1),join(X2,X1)) = composition(sk1,X1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2430.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_2425]).
% 3.70/4.11 cnf('0.2458.0.0',plain,
% 3.70/4.11 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.5.2.0','0.43.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('0.2458.1.0',plain,
% 3.70/4.11 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2458.0.0']),
% 3.70/4.11 [weight('<?,43,5,[0,0,0,1]>')]).
% 3.70/4.11 cnf('0.2458.2.0',plain,
% 3.70/4.11 ( composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
% 3.70/4.11 inference(activate,[status(thm)],['0.2458.1.0']),
% 3.70/4.11 [equation_6]).
% 3.70/4.11 cnf('0.2469.0.0',plain,
% 3.70/4.11 ( join(X1,composition(meet(X2,one),X1)) = composition(one,X1) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.2458.2.0','0.110.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('0.2469.0.1',plain,
% 3.70/4.11 ( join(X1,composition(meet(X2,one),X1)) = X1 ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2469.0.0','0.43.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2469.1.0',plain,
% 3.70/4.11 ( join(X1,composition(meet(X2,one),X1)) = X1 ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2469.0.1']),
% 3.70/4.11 [weight('<71,2458,110,[1,0,0,1]>')]).
% 3.70/4.11 cnf('0.2469.2.0',plain,
% 3.70/4.11 ( join(X1,composition(meet(X2,one),X1)) = X1 ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2469.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_2463]).
% 3.70/4.11 cnf('0.2470.0.0',plain,
% 3.70/4.11 ( X1 = join(X1,composition(sk2,X1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.2469.2.0','0.145.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.2470.1.0',plain,
% 3.70/4.11 ( X1 = join(X1,composition(sk2,X1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2470.0.0']),
% 3.70/4.11 [weight('<41,2469,145,[1,0,0,3]>')]).
% 3.70/4.11 cnf('0.2470.2.0',plain,
% 3.70/4.11 ( join(X1,composition(sk2,X1)) = X1 ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2470.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_2464]).
% 3.70/4.11 cnf('0.2681.0.0',plain,
% 3.70/4.11 ( zero = meet(composition(meet(X1,one),X2),complement(X2)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.185.2.0','0.2469.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.2681.1.0',plain,
% 3.70/4.11 ( zero = meet(composition(meet(X1,one),X2),complement(X2)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2681.0.0']),
% 3.70/4.11 [weight('<89,2469,185,[0,0,0,3]>')]).
% 3.70/4.11 cnf('0.2681.1.1',plain,
% 3.70/4.11 ( zero = meet(complement(X2),composition(meet(X1,one),X2)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2681.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2681.2.0',plain,
% 3.70/4.11 ( meet(complement(X1),composition(meet(X2,one),X1)) = zero ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2681.1.1',theory(equality)]),
% 3.70/4.11 [x,rule_2674]).
% 3.70/4.11 cnf('0.2910.0.0',plain,
% 3.70/4.11 ( join(join(complement(sk2),X1),complement(one)) = join(join(complement(sk2),X1),complement(top)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.363.2.0','0.132.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.2910.0.1',plain,
% 3.70/4.11 ( join(complement(sk2),join(X1,complement(one))) = join(join(complement(sk2),X1),complement(top)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2910.0.0','0.9.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.2910.0.2',plain,
% 3.70/4.11 ( join(complement(sk2),join(X1,complement(one))) = join(complement(sk2),join(X1,complement(top))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2910.0.1','0.9.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2910.0.3',plain,
% 3.70/4.11 ( join(complement(sk2),join(X1,complement(one))) = join(complement(sk2),join(X1,zero)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2910.0.2','0.19.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.2','L')]).
% 3.70/4.11 cnf('0.2910.0.4',plain,
% 3.70/4.11 ( join(complement(sk2),join(X1,complement(one))) = join(complement(sk2),X1) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2910.0.3','0.68.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2','L')]).
% 3.70/4.11 cnf('0.2910.1.0',plain,
% 3.70/4.11 ( join(complement(sk2),join(X1,complement(one))) = join(complement(sk2),X1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2910.0.4']),
% 3.70/4.11 [weight('<95,363,132,[1,0,0,3]>')]).
% 3.70/4.11 cnf('0.2910.2.0',plain,
% 3.70/4.11 ( join(complement(sk2),join(X1,complement(one))) = join(complement(sk2),X1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2910.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_2903]).
% 3.70/4.11 cnf('0.2911.0.0',plain,
% 3.70/4.11 ( meet(join(X1,complement(one)),sk2) = meet(sk2,join(complement(sk2),X1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.328.2.0','0.2910.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.2911.0.1',plain,
% 3.70/4.11 ( meet(join(X1,complement(one)),sk2) = meet(X1,sk2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2911.0.0','0.328.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2911.1.0',plain,
% 3.70/4.11 ( meet(join(X1,complement(one)),sk2) = meet(X1,sk2) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2911.0.1']),
% 3.70/4.11 [weight('<69,2910,328,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.2911.1.1',plain,
% 3.70/4.11 ( meet(sk2,join(X1,complement(one))) = meet(X1,sk2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2911.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.2911.2.0',plain,
% 3.70/4.11 ( meet(sk2,join(X1,complement(one))) = meet(X1,sk2) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2911.1.1',theory(equality)]),
% 3.70/4.11 [u,rule_2904]).
% 3.70/4.11 cnf('0.2912.0.0',plain,
% 3.70/4.11 ( meet(X1,sk2) = meet(sk2,join(complement(one),X1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.2911.2.0','0.8.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.2912.1.0',plain,
% 3.70/4.11 ( meet(X1,sk2) = meet(sk2,join(complement(one),X1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2912.0.0']),
% 3.70/4.11 [weight('<69,2911,8,[1,0,0,2]>')]).
% 3.70/4.11 cnf('0.2912.2.0',plain,
% 3.70/4.11 ( meet(sk2,join(complement(one),X1)) = meet(X1,sk2) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2912.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_2905]).
% 3.70/4.11 cnf('0.2914.0.0',plain,
% 3.70/4.11 ( meet(meet(X1,complement(complement(one))),sk2) = meet(sk2,join(complement(one),X1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.2912.2.0','0.320.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.2914.0.1',plain,
% 3.70/4.11 ( meet(meet(X1,one),sk2) = meet(sk2,join(complement(one),X1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2914.0.0','0.70.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1.2','L')]).
% 3.70/4.11 cnf('0.2914.0.2',plain,
% 3.70/4.11 ( meet(meet(X1,one),sk2) = meet(X1,sk2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2914.0.1','0.2912.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.2914.1.0',plain,
% 3.70/4.11 ( meet(meet(X1,one),sk2) = meet(X1,sk2) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.2914.0.2']),
% 3.70/4.11 [weight('<53,2912,320,[1,0,0,2]>')]).
% 3.70/4.11 cnf('0.2914.1.1',plain,
% 3.70/4.11 ( meet(sk2,meet(X1,one)) = meet(X1,sk2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.2914.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.2914.2.0',plain,
% 3.70/4.11 ( meet(sk2,meet(X1,one)) = meet(X1,sk2) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.2914.1.1',theory(equality)]),
% 3.70/4.11 [u,rule_2907]).
% 3.70/4.11 cnf('0.3050.0.0',plain,
% 3.70/4.11 ( join(X1,join(X2,composition(X1,top))) = join(X2,composition(X1,top)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.1081.2.0','0.1297.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.3050.1.0',plain,
% 3.70/4.11 ( join(X1,join(X2,composition(X1,top))) = join(X2,composition(X1,top)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3050.0.0']),
% 3.70/4.11 [weight('<103,1297,1081,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.3050.2.0',plain,
% 3.70/4.11 ( join(X1,join(X2,composition(X1,top))) = join(X2,composition(X1,top)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3050.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_3043]).
% 3.70/4.11 cnf('0.3147.0.0',plain,
% 3.70/4.11 ( composition(meet(X1,X2),sk1) = meet(composition(meet(X1,X2),sk1),X1) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.217.2.0','0.2406.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.3147.1.0',plain,
% 3.70/4.11 ( composition(meet(X1,X2),sk1) = meet(composition(meet(X1,X2),sk1),X1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3147.0.0']),
% 3.70/4.11 [weight('<103,2406,217,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.3147.1.1',plain,
% 3.70/4.11 ( composition(meet(X1,X2),sk1) = meet(X1,composition(meet(X1,X2),sk1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3147.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3147.2.0',plain,
% 3.70/4.11 ( meet(X1,composition(meet(X1,X2),sk1)) = composition(meet(X1,X2),sk1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3147.1.1',theory(equality)]),
% 3.70/4.11 [x,rule_3140]).
% 3.70/4.11 cnf('0.3148.0.0',plain,
% 3.70/4.11 ( composition(meet(complement(sk1),one),sk1) = zero ),
% 3.70/4.11 inference(cp,[status(thm)],['0.3147.2.0','0.2681.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.3148.1.0',plain,
% 3.70/4.11 ( composition(meet(complement(sk1),one),sk1) = zero ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3148.0.0']),
% 3.70/4.11 [weight('<55,3147,2681,[1,0,0,0]>')]).
% 3.70/4.11 cnf('0.3148.1.1',plain,
% 3.70/4.11 ( composition(meet(one,complement(sk1)),sk1) = zero ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3148.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('0.3148.2.0',plain,
% 3.70/4.11 ( composition(meet(one,complement(sk1)),sk1) = zero ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3148.1.1',theory(equality)]),
% 3.70/4.11 [u,rule_3141]).
% 3.70/4.11 cnf('0.3152.0.0',plain,
% 3.70/4.11 ( complement(converse(meet(one,complement(sk1)))) = join(complement(converse(meet(one,complement(sk1)))),composition(sk1,complement(converse(zero)))) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.1285.2.0','0.3148.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.2.1.1','L')]).
% 3.70/4.11 cnf('0.3152.0.1',plain,
% 3.70/4.11 ( converse(join(sk1,complement(one))) = join(complement(converse(meet(one,complement(sk1)))),composition(sk1,complement(converse(zero)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.0','0.408.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.3152.0.2',plain,
% 3.70/4.11 ( join(sk1,converse(complement(one))) = join(complement(converse(meet(one,complement(sk1)))),composition(sk1,complement(converse(zero)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.1','0.890.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.3152.0.3',plain,
% 3.70/4.11 ( join(sk1,complement(converse(one))) = join(complement(converse(meet(one,complement(sk1)))),composition(sk1,complement(converse(zero)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.2','0.374.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.3152.0.4',plain,
% 3.70/4.11 ( join(sk1,complement(one)) = join(complement(converse(meet(one,complement(sk1)))),composition(sk1,complement(converse(zero)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.3','0.42.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.3152.0.5',plain,
% 3.70/4.11 ( join(sk1,complement(one)) = join(converse(join(sk1,complement(one))),composition(sk1,complement(converse(zero)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.4','0.408.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1','L')]).
% 3.70/4.11 cnf('0.3152.0.6',plain,
% 3.70/4.11 ( join(sk1,complement(one)) = join(join(sk1,converse(complement(one))),composition(sk1,complement(converse(zero)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.5','0.890.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1','L')]).
% 3.70/4.11 cnf('0.3152.0.7',plain,
% 3.70/4.11 ( join(sk1,complement(one)) = join(sk1,join(converse(complement(one)),composition(sk1,complement(converse(zero))))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.6','0.9.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3152.0.8',plain,
% 3.70/4.11 ( join(sk1,complement(one)) = join(sk1,join(complement(converse(one)),composition(sk1,complement(converse(zero))))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.7','0.374.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.1','L')]).
% 3.70/4.11 cnf('0.3152.0.9',plain,
% 3.70/4.11 ( join(sk1,complement(one)) = join(sk1,join(complement(one),composition(sk1,complement(converse(zero))))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.8','0.42.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.1.1','L')]).
% 3.70/4.11 cnf('0.3152.0.10',plain,
% 3.70/4.11 ( join(sk1,complement(one)) = join(sk1,join(complement(one),composition(sk1,complement(zero)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.9','0.77.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.2.2.1','L')]).
% 3.70/4.11 cnf('0.3152.0.11',plain,
% 3.70/4.11 ( join(sk1,complement(one)) = join(sk1,join(complement(one),composition(sk1,top))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.10','0.66.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.2.2','L')]).
% 3.70/4.11 cnf('0.3152.0.12',plain,
% 3.70/4.11 ( join(sk1,complement(one)) = join(complement(one),composition(sk1,top)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3152.0.11','0.3050.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3152.1.0',plain,
% 3.70/4.11 ( join(sk1,complement(one)) = join(complement(one),composition(sk1,top)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3152.0.12']),
% 3.70/4.11 [weight('<76,3148,1285,[0,0,0,8]>')]).
% 3.70/4.11 cnf('0.3152.2.0',plain,
% 3.70/4.11 ( join(complement(one),composition(sk1,top)) = join(sk1,complement(one)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3152.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_3145]).
% 3.70/4.11 cnf('0.3155.0.0',plain,
% 3.70/4.11 ( meet(composition(sk1,top),sk2) = meet(sk2,join(sk1,complement(one))) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.2912.2.0','0.3152.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.3155.0.1',plain,
% 3.70/4.11 ( meet(composition(sk1,top),sk2) = meet(sk1,sk2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3155.0.0','0.2911.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3155.1.0',plain,
% 3.70/4.11 ( meet(composition(sk1,top),sk2) = meet(sk1,sk2) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3155.0.1']),
% 3.70/4.11 [weight('<53,3152,2912,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.3155.1.1',plain,
% 3.70/4.11 ( meet(sk2,composition(sk1,top)) = meet(sk1,sk2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3155.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.3155.1.2',plain,
% 3.70/4.11 ( meet(sk2,composition(sk1,top)) = meet(sk2,sk1) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3155.1.1','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3155.2.0',plain,
% 3.70/4.11 ( meet(sk2,composition(sk1,top)) = meet(sk2,sk1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3155.1.2',theory(equality)]),
% 3.70/4.11 [u,rule_3148]).
% 3.70/4.11 cnf('0.3207.0.0',plain,
% 3.70/4.11 ( join(X1,composition(X2,sk1)) = join(X1,composition(join(X1,X2),sk1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.2425.2.0','0.5.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.3207.1.0',plain,
% 3.70/4.11 ( join(X1,composition(X2,sk1)) = join(X1,composition(join(X1,X2),sk1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3207.0.0']),
% 3.70/4.11 [weight('<103,2425,5,[1,0,0,2]>')]).
% 3.70/4.11 cnf('0.3207.2.0',plain,
% 3.70/4.11 ( join(X1,composition(join(X1,X2),sk1)) = join(X1,composition(X2,sk1)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3207.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_3200]).
% 3.70/4.11 cnf('0.3208.0.0',plain,
% 3.70/4.11 ( join(X1,composition(complement(X1),sk1)) = join(X1,composition(top,sk1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.3207.2.0','0.10.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.3208.1.0',plain,
% 3.70/4.11 ( join(X1,composition(complement(X1),sk1)) = join(X1,composition(top,sk1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3208.0.0']),
% 3.70/4.11 [weight('<83,3207,10,[1,0,0,3]>')]).
% 3.70/4.11 cnf('0.3208.2.0',plain,
% 3.70/4.11 ( join(X1,composition(complement(X1),sk1)) = join(X1,composition(top,sk1)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3208.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_3201]).
% 3.70/4.11 cnf('0.3209.0.0',plain,
% 3.70/4.11 ( composition(complement(complement(X1)),sk1) = meet(join(X1,composition(complement(complement(X1)),sk1)),join(complement(X1),composition(top,sk1))) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.851.2.0','0.3208.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.3209.0.1',plain,
% 3.70/4.11 ( composition(X1,sk1) = meet(join(X1,composition(complement(complement(X1)),sk1)),join(complement(X1),composition(top,sk1))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3209.0.0','0.70.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('0.3209.0.2',plain,
% 3.70/4.11 ( composition(X1,sk1) = meet(join(X1,composition(X1,sk1)),join(complement(X1),composition(top,sk1))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3209.0.1','0.70.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1.2.1','L')]).
% 3.70/4.11 cnf('0.3209.0.3',plain,
% 3.70/4.11 ( composition(X1,sk1) = meet(X1,join(complement(X1),composition(top,sk1))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3209.0.2','0.2393.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1','L')]).
% 3.70/4.11 cnf('0.3209.0.4',plain,
% 3.70/4.11 ( composition(X1,sk1) = meet(composition(top,sk1),X1) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3209.0.3','0.328.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3209.1.0',plain,
% 3.70/4.11 ( composition(X1,sk1) = meet(composition(top,sk1),X1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3209.0.4']),
% 3.70/4.11 [weight('<53,3208,851,[0,0,0,4]>')]).
% 3.70/4.11 cnf('0.3209.2.0',plain,
% 3.70/4.11 ( meet(composition(top,sk1),X1) = composition(X1,sk1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3209.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_3202]).
% 3.70/4.11 cnf('0.3210.0.0',plain,
% 3.70/4.11 ( meet(sk2,converse(composition(top,sk1))) = converse(composition(sk2,sk1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.959.2.0','0.3209.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('0.3210.0.1',plain,
% 3.70/4.11 ( meet(sk2,composition(converse(sk1),top)) = converse(composition(sk2,sk1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3210.0.0','0.113.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.3210.0.2',plain,
% 3.70/4.11 ( meet(sk2,composition(sk1,top)) = converse(composition(sk2,sk1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3210.0.1','0.887.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.3210.0.3',plain,
% 3.70/4.11 ( meet(sk2,sk1) = converse(composition(sk2,sk1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3210.0.2','0.3155.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.3210.0.4',plain,
% 3.70/4.11 ( meet(sk2,sk1) = composition(converse(sk1),sk2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3210.0.3','0.954.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3210.0.5',plain,
% 3.70/4.11 ( meet(sk2,sk1) = composition(sk1,sk2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3210.0.4','0.887.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1','L')]).
% 3.70/4.11 cnf('0.3210.1.0',plain,
% 3.70/4.11 ( meet(sk2,sk1) = composition(sk1,sk2) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3210.0.5']),
% 3.70/4.11 [weight('<27,3209,959,[0,0,0,1]>')]).
% 3.70/4.11 cnf('0.3210.2.0',plain,
% 3.70/4.11 ( composition(sk1,sk2) = meet(sk2,sk1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3210.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_3203]).
% 3.70/4.11 cnf('0.3211.0.0',plain,
% 3.70/4.11 ( meet(composition(top,sk1),sk2) = meet(sk2,composition(one,sk1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.2914.2.0','0.3209.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.3211.0.1',plain,
% 3.70/4.11 ( composition(sk2,sk1) = meet(sk2,composition(one,sk1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3211.0.0','0.3209.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.3211.0.2',plain,
% 3.70/4.11 ( composition(sk2,sk1) = meet(sk2,sk1) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3211.0.1','0.43.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2','L')]).
% 3.70/4.11 cnf('0.3211.1.0',plain,
% 3.70/4.11 ( composition(sk2,sk1) = meet(sk2,sk1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3211.0.2']),
% 3.70/4.11 [weight('<27,3209,2914,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.3211.2.0',plain,
% 3.70/4.11 ( composition(sk2,sk1) = meet(sk2,sk1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3211.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_3204]).
% 3.70/4.11 cnf('0.3214.0.0',plain,
% 3.70/4.11 ( composition(X1,sk1) = meet(X1,composition(top,sk1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.3209.2.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.3214.1.0',plain,
% 3.70/4.11 ( composition(X1,sk1) = meet(X1,composition(top,sk1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3214.0.0']),
% 3.70/4.11 [weight('<53,3209,22,[1,0,0,0]>')]).
% 3.70/4.11 cnf('0.3214.2.0',plain,
% 3.70/4.11 ( meet(X1,composition(top,sk1)) = composition(X1,sk1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3214.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_3207]).
% 3.70/4.11 cnf('0.3224.0.0',plain,
% 3.70/4.11 ( composition(sk1,composition(sk2,X1)) = composition(meet(sk2,sk1),X1) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4.2.0','0.3210.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('0.3224.1.0',plain,
% 3.70/4.11 ( composition(sk1,composition(sk2,X1)) = composition(meet(sk2,sk1),X1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3224.0.0']),
% 3.70/4.11 [weight('<65,3210,4,[0,0,0,1]>')]).
% 3.70/4.11 cnf('0.3224.2.0',plain,
% 3.70/4.11 ( composition(meet(sk2,sk1),X1) = composition(sk1,composition(sk2,X1)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3224.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_3217]).
% 3.70/4.11 cnf('0.3225.0.0',plain,
% 3.70/4.11 ( composition(sk2,composition(sk1,X1)) = composition(meet(sk2,sk1),X1) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4.2.0','0.3211.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('0.3225.1.0',plain,
% 3.70/4.11 ( composition(sk2,composition(sk1,X1)) = composition(meet(sk2,sk1),X1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3225.0.0']),
% 3.70/4.11 [weight('<65,3211,4,[0,0,0,1]>')]).
% 3.70/4.11 cnf('0.3225.1.1',plain,
% 3.70/4.11 ( composition(sk2,composition(sk1,X1)) = composition(sk1,composition(sk2,X1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3225.1.0','0.3224.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3225.2.0',plain,
% 3.70/4.11 ( composition(sk1,composition(sk2,X1)) = composition(sk2,composition(sk1,X1)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3225.1.1',theory(equality)]),
% 3.70/4.11 [x,rule_3218]).
% 3.70/4.11 cnf('0.3227.0.0',plain,
% 3.70/4.11 ( composition(meet(sk2,sk1),X1) = composition(sk1,composition(sk2,X1)) ),
% 3.70/4.11 inference(interreduction_right,[status(thm)],['0.3224.2.0'])).
% 3.70/4.11 cnf('0.3227.0.1',plain,
% 3.70/4.11 ( composition(meet(sk2,sk1),X1) = composition(sk2,composition(sk1,X1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3227.0.0','0.3225.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3227.1.0',plain,
% 3.70/4.11 ( composition(meet(sk2,sk1),X1) = composition(sk2,composition(sk1,X1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3227.0.1']),
% 3.70/4.11 [weight('<65,3224,3225,[0,0,0,0]>')]).
% 3.70/4.11 cnf('0.3227.2.0',plain,
% 3.70/4.11 ( composition(meet(sk2,sk1),X1) = composition(sk2,composition(sk1,X1)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3227.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_3220]).
% 3.70/4.11 cnf('0.3333.0.0',plain,
% 3.70/4.11 ( composition(sk1,composition(sk2,X1)) = meet(composition(sk1,composition(sk2,X1)),X1) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.2430.2.0','0.2470.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.3333.1.0',plain,
% 3.70/4.11 ( composition(sk1,composition(sk2,X1)) = meet(composition(sk1,composition(sk2,X1)),X1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3333.0.0']),
% 3.70/4.11 [weight('<103,2470,2430,[0,0,0,4]>')]).
% 3.70/4.11 cnf('0.3333.1.1',plain,
% 3.70/4.11 ( composition(sk2,composition(sk1,X1)) = meet(composition(sk1,composition(sk2,X1)),X1) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3333.1.0','0.3225.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.3333.1.2',plain,
% 3.70/4.11 ( composition(sk2,composition(sk1,X1)) = meet(X1,composition(sk1,composition(sk2,X1))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3333.1.1','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3333.1.3',plain,
% 3.70/4.11 ( composition(sk2,composition(sk1,X1)) = meet(X1,composition(sk2,composition(sk1,X1))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3333.1.2','0.3225.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2','L')]).
% 3.70/4.11 cnf('0.3333.2.0',plain,
% 3.70/4.11 ( meet(X1,composition(sk2,composition(sk1,X1))) = composition(sk2,composition(sk1,X1)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3333.1.3',theory(equality)]),
% 3.70/4.11 [x,rule_3326]).
% 3.70/4.11 cnf('0.3696.0.0',plain,
% 3.70/4.11 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,join(meet(X1,X2),X3)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.304.2.0','0.319.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.3696.0.1',plain,
% 3.70/4.11 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.3696.0.0','0.304.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.3696.1.0',plain,
% 3.70/4.11 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.3696.0.1']),
% 3.70/4.11 [weight('<107,319,304,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.3696.2.0',plain,
% 3.70/4.11 ( join(X1,meet(complement(meet(X1,X2)),X3)) = join(X1,X3) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.3696.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_3689]).
% 3.70/4.11 cnf('0.4239.0.0',plain,
% 3.70/4.11 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.3696.2.0','0.164.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.4239.1.0',plain,
% 3.70/4.11 ( join(X1,X2) = join(X1,meet(join(X3,complement(X1)),X2)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4239.0.0']),
% 3.70/4.11 [weight('<107,3696,164,[1,0,0,3]>')]).
% 3.70/4.11 cnf('0.4239.2.0',plain,
% 3.70/4.11 ( join(X1,meet(join(X2,complement(X1)),X3)) = join(X1,X3) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4239.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_4216]).
% 3.70/4.11 cnf('0.4240.0.0',plain,
% 3.70/4.11 ( meet(meet(join(X1,complement(complement(X2))),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.328.2.0','0.4239.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.4240.0.1',plain,
% 3.70/4.11 ( meet(meet(join(X1,X2),X3),X2) = meet(X2,join(complement(X2),X3)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.4240.0.0','0.70.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1.1.2','L')]).
% 3.70/4.11 cnf('0.4240.0.2',plain,
% 3.70/4.11 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.4240.0.1','0.328.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.4240.1.0',plain,
% 3.70/4.11 ( meet(meet(join(X1,X2),X3),X2) = meet(X3,X2) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4240.0.2']),
% 3.70/4.11 [weight('<87,4239,328,[0,0,0,2]>')]).
% 3.70/4.11 cnf('0.4240.1.1',plain,
% 3.70/4.11 ( meet(X2,meet(join(X1,X2),X3)) = meet(X3,X2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.4240.1.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.4240.2.0',plain,
% 3.70/4.11 ( meet(X1,meet(join(X2,X1),X3)) = meet(X3,X1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4240.1.1',theory(equality)]),
% 3.70/4.11 [u,rule_4217]).
% 3.70/4.11 cnf('0.4245.0.0',plain,
% 3.70/4.11 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4240.2.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.4245.1.0',plain,
% 3.70/4.11 ( meet(X1,X2) = meet(X2,meet(X1,join(X3,X2))) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4245.0.0']),
% 3.70/4.11 [weight('<87,4240,22,[1,0,0,2]>')]).
% 3.70/4.11 cnf('0.4245.2.0',plain,
% 3.70/4.11 ( meet(X1,meet(X2,join(X3,X1))) = meet(X2,X1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4245.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_4222]).
% 3.70/4.11 cnf('0.4246.0.0',plain,
% 3.70/4.11 ( meet(composition(top,sk1),X1) = meet(X1,composition(join(X2,X1),sk1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4240.2.0','0.3214.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.4246.0.1',plain,
% 3.70/4.11 ( composition(X1,sk1) = meet(X1,composition(join(X2,X1),sk1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.4246.0.0','0.3209.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.4246.1.0',plain,
% 3.70/4.11 ( composition(X1,sk1) = meet(X1,composition(join(X2,X1),sk1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4246.0.1']),
% 3.70/4.11 [weight('<87,4240,3214,[1,0,0,2]>')]).
% 3.70/4.11 cnf('0.4246.2.0',plain,
% 3.70/4.11 ( meet(X1,composition(join(X2,X1),sk1)) = composition(X1,sk1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4246.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_4223]).
% 3.70/4.11 cnf('0.4335.0.0',plain,
% 3.70/4.11 ( meet(X1,composition(X2,sk1)) = meet(composition(X2,sk1),meet(X2,X1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4240.2.0','0.2393.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.4335.1.0',plain,
% 3.70/4.11 ( meet(X1,composition(X2,sk1)) = meet(composition(X2,sk1),meet(X2,X1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4335.0.0']),
% 3.70/4.11 [weight('<103,4240,2393,[1,0,0,3]>')]).
% 3.70/4.11 cnf('0.4335.2.0',plain,
% 3.70/4.11 ( meet(composition(X1,sk1),meet(X1,X2)) = meet(X2,composition(X1,sk1)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4335.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_4309]).
% 3.70/4.11 cnf('0.4366.0.0',plain,
% 3.70/4.11 ( meet(X1,composition(sk1,X2)) = meet(composition(sk1,X2),meet(X1,X2)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4245.2.0','0.2394.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.2','L')]).
% 3.70/4.11 cnf('0.4366.1.0',plain,
% 3.70/4.11 ( meet(X1,composition(sk1,X2)) = meet(composition(sk1,X2),meet(X1,X2)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4366.0.0']),
% 3.70/4.11 [weight('<103,4245,2394,[1,0,0,4]>')]).
% 3.70/4.11 cnf('0.4366.2.0',plain,
% 3.70/4.11 ( meet(composition(sk1,X1),meet(X2,X1)) = meet(X2,composition(sk1,X1)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4366.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_4330]).
% 3.70/4.11 cnf('0.4369.0.0',plain,
% 3.70/4.11 ( composition(meet(X1,X2),sk1) = meet(meet(X1,X2),composition(X1,sk1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4246.2.0','0.109.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.4369.1.0',plain,
% 3.70/4.11 ( composition(meet(X1,X2),sk1) = meet(meet(X1,X2),composition(X1,sk1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4369.0.0']),
% 3.70/4.11 [weight('<103,4246,109,[1,0,0,3]>')]).
% 3.70/4.11 cnf('0.4369.2.0',plain,
% 3.70/4.11 ( meet(meet(X1,X2),composition(X1,sk1)) = composition(meet(X1,X2),sk1) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4369.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_4333]).
% 3.70/4.11 cnf('0.4370.0.0',plain,
% 3.70/4.11 ( composition(meet(X1,X2),sk1) = meet(composition(X1,sk1),meet(X1,X2)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4369.2.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.4370.0.1',plain,
% 3.70/4.11 ( composition(meet(X1,X2),sk1) = meet(X2,composition(X1,sk1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.4370.0.0','0.4335.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.4370.1.0',plain,
% 3.70/4.11 ( composition(meet(X1,X2),sk1) = meet(X2,composition(X1,sk1)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4370.0.1']),
% 3.70/4.11 [weight('<65,4369,22,[1,0,0,0]>')]).
% 3.70/4.11 cnf('0.4370.2.0',plain,
% 3.70/4.11 ( composition(meet(X1,X2),sk1) = meet(X2,composition(X1,sk1)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4370.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_4334]).
% 3.70/4.11 cnf('0.4371.0.0',plain,
% 3.70/4.11 ( composition(sk1,converse(meet(X1,X2))) = converse(meet(X2,composition(X1,sk1))) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.888.2.0','0.4370.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('0.4371.1.0',plain,
% 3.70/4.11 ( composition(sk1,converse(meet(X1,X2))) = converse(meet(X2,composition(X1,sk1))) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4371.0.0']),
% 3.70/4.11 [weight('<90,4370,888,[0,0,0,1]>')]).
% 3.70/4.11 cnf('0.4371.2.0',plain,
% 3.70/4.11 ( converse(meet(X1,composition(X2,sk1))) = composition(sk1,converse(meet(X2,X1))) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4371.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_4335]).
% 3.70/4.11 cnf('0.4373.0.0',plain,
% 3.70/4.11 ( composition(sk1,converse(meet(X1,converse(X2)))) = meet(converse(composition(X1,sk1)),X2) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4371.2.0','0.401.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.4373.0.1',plain,
% 3.70/4.11 ( composition(sk1,meet(converse(X1),X2)) = meet(converse(composition(X1,sk1)),X2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.4373.0.0','0.403.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.4373.0.2',plain,
% 3.70/4.11 ( composition(sk1,meet(converse(X1),X2)) = meet(composition(sk1,converse(X1)),X2) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.4373.0.1','0.888.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1','L')]).
% 3.70/4.11 cnf('0.4373.1.0',plain,
% 3.70/4.11 ( composition(sk1,meet(converse(X1),X2)) = meet(composition(sk1,converse(X1)),X2) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4373.0.2']),
% 3.70/4.11 [weight('<90,4371,401,[1,0,0,0]>')]).
% 3.70/4.11 cnf('0.4373.2.0',plain,
% 3.70/4.11 ( composition(sk1,meet(converse(X1),X2)) = meet(composition(sk1,converse(X1)),X2) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4373.1.0',theory(equality)]),
% 3.70/4.11 [u,rule_4337]).
% 3.70/4.11 cnf('0.4374.0.0',plain,
% 3.70/4.11 ( meet(composition(sk1,converse(converse(X1))),X2) = composition(sk1,meet(X1,X2)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4373.2.0','0.3.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.1','L')]).
% 3.70/4.11 cnf('0.4374.0.1',plain,
% 3.70/4.11 ( meet(composition(sk1,X1),X2) = composition(sk1,meet(X1,X2)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.4374.0.0','0.3.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1.2','L')]).
% 3.70/4.11 cnf('0.4374.1.0',plain,
% 3.70/4.11 ( meet(composition(sk1,X1),X2) = composition(sk1,meet(X1,X2)) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4374.0.1']),
% 3.70/4.11 [weight('<65,4373,3,[1,0,0,3]>')]).
% 3.70/4.11 cnf('0.4374.2.0',plain,
% 3.70/4.11 ( composition(sk1,meet(X1,X2)) = meet(composition(sk1,X1),X2) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4374.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_4338]).
% 3.70/4.11 cnf('0.4375.0.0',plain,
% 3.70/4.11 ( meet(composition(sk1,X1),meet(X2,X1)) = composition(sk1,meet(X2,X1)) ),
% 3.70/4.11 inference(cp,[status(thm)],['0.4374.2.0','0.115.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('0.4375.0.1',plain,
% 3.70/4.11 ( meet(X2,composition(sk1,X1)) = composition(sk1,meet(X2,X1)) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.4375.0.0','0.4366.2.0',theory(equality)]),
% 3.70/4.11 [pos('L','L')]).
% 3.70/4.11 cnf('0.4375.0.2',plain,
% 3.70/4.11 ( meet(X2,composition(sk1,X1)) = meet(composition(sk1,X2),X1) ),
% 3.70/4.11 inference(reduction,[status(thm)],['0.4375.0.1','0.4374.2.0',theory(equality)]),
% 3.70/4.11 [pos('R','L')]).
% 3.70/4.11 cnf('0.4375.1.0',plain,
% 3.70/4.11 ( meet(X2,composition(sk1,X1)) = meet(composition(sk1,X2),X1) ),
% 3.70/4.11 inference(weigh,[status(thm)],['0.4375.0.2']),
% 3.70/4.11 [weight('<65,4374,115,[1,0,0,2]>')]).
% 3.70/4.11 cnf('0.4375.2.0',plain,
% 3.70/4.11 ( meet(composition(sk1,X1),X2) = meet(X1,composition(sk1,X2)) ),
% 3.70/4.11 inference(orient,[status(thm)],['0.4375.1.0',theory(equality)]),
% 3.70/4.11 [x,rule_4339]).
% 3.70/4.11 cnf('1.0.0.0',conjecture,
% 3.70/4.11 ( tuple(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3))) = tuple(join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 file('/tmp/WALDMEISTER_32500_n026',conjecture_1)).
% 3.70/4.11 cnf('1.0.0.1',plain,
% 3.70/4.11 ( tuple(composition(meet(sk2,sk1),sk3),meet(composition(sk1,sk3),composition(sk2,sk3))) = tuple(join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.0','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1.1','L')]).
% 3.70/4.11 cnf('1.0.0.2',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),meet(composition(sk1,sk3),composition(sk2,sk3))) = tuple(join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.1','0.3227.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.1','L')]).
% 3.70/4.11 cnf('1.0.0.3',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),meet(sk3,composition(sk1,composition(sk2,sk3)))) = tuple(join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.2','0.4375.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('1.0.0.4',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),meet(sk3,composition(sk2,composition(sk1,sk3)))) = tuple(join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.3','0.3225.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2.2','L')]).
% 3.70/4.11 cnf('1.0.0.5',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.4','0.3333.2.0',theory(equality)]),
% 3.70/4.11 [pos('L.2','L')]).
% 3.70/4.11 cnf('1.0.0.6',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3))),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.5','0.8.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1','L')]).
% 3.70/4.11 cnf('1.0.0.7',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(join(composition(meet(sk2,sk1),sk3),meet(composition(sk1,sk3),composition(sk2,sk3))),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.6','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1.1.1','L')]).
% 3.70/4.11 cnf('1.0.0.8',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(join(composition(sk2,composition(sk1,sk3)),meet(composition(sk1,sk3),composition(sk2,sk3))),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.7','0.3227.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1.1','L')]).
% 3.70/4.11 cnf('1.0.0.9',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(join(composition(sk2,composition(sk1,sk3)),meet(sk3,composition(sk1,composition(sk2,sk3)))),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.8','0.4375.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1.2','L')]).
% 3.70/4.11 cnf('1.0.0.10',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(join(composition(sk2,composition(sk1,sk3)),meet(sk3,composition(sk2,composition(sk1,sk3)))),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.9','0.3225.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1.2.2','L')]).
% 3.70/4.11 cnf('1.0.0.11',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(join(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.10','0.3333.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1.2','L')]).
% 3.70/4.11 cnf('1.0.0.12',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(composition(join(sk2,sk2),composition(sk1,sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.11','0.5.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1','L')]).
% 3.70/4.11 cnf('1.0.0.13',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(composition(sk2,composition(sk1,sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.12','0.72.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.1.1','L')]).
% 3.70/4.11 cnf('1.0.0.14',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(composition(sk2,composition(sk1,sk3)),join(composition(meet(sk2,sk1),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.13','0.22.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.1.1','L')]).
% 3.70/4.11 cnf('1.0.0.15',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(composition(sk2,composition(sk1,sk3)),join(composition(sk2,composition(sk1,sk3)),meet(composition(sk1,sk3),composition(sk2,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.14','0.3227.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.1','L')]).
% 3.70/4.11 cnf('1.0.0.16',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(composition(sk2,composition(sk1,sk3)),join(composition(sk2,composition(sk1,sk3)),meet(sk3,composition(sk1,composition(sk2,sk3))))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.15','0.4375.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.2','L')]).
% 3.70/4.11 cnf('1.0.0.17',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(composition(sk2,composition(sk1,sk3)),join(composition(sk2,composition(sk1,sk3)),meet(sk3,composition(sk2,composition(sk1,sk3))))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.16','0.3225.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.2.2','L')]).
% 3.70/4.11 cnf('1.0.0.18',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(composition(sk2,composition(sk1,sk3)),join(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3)))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.17','0.3333.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.2','L')]).
% 3.70/4.11 cnf('1.0.0.19',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(composition(sk2,composition(sk1,sk3)),composition(join(sk2,sk2),composition(sk1,sk3))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.18','0.5.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2','L')]).
% 3.70/4.11 cnf('1.0.0.20',plain,
% 3.70/4.11 ( tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) ),
% 3.70/4.11 inference(reduction,[status(thm)],['1.0.0.19','0.72.2.0',theory(equality)]),
% 3.70/4.11 [pos('R.2.1','L')]).
% 3.70/4.11 cnf('1.0.0.21',plain,
% 3.70/4.11 ( $true ),
% 3.70/4.11 inference(trivial,[status(thm)],['1.0.0.20',theory(equality)]),
% 3.70/4.11 [conjecture_1]).
% 3.70/4.11
% 3.70/4.11 Proved Goals:
% 3.70/4.11 No. 1: tuple(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3))) ?= tuple(join(meet(composition(sk1,sk3),composition(sk2,sk3)),composition(meet(sk1,sk2),sk3)),join(composition(meet(sk1,sk2),sk3),meet(composition(sk1,sk3),composition(sk2,sk3)))) joined, current: tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3))) = tuple(composition(sk2,composition(sk1,sk3)),composition(sk2,composition(sk1,sk3)))
% 3.70/4.11 1 goal was specified, which was proved.
% 3.70/4.11 % SZS output end CNFRefutation
% 3.70/4.11 #END OF PROOF
% 3.70/4.11
% 3.70/4.11 Problem WALDMEISTER_32500_n026
% 3.70/4.11 CPs.gen 1215710
% 3.70/4.11 CPs.reexp 0
% 3.70/4.11 Select 103856
% 3.70/4.11 R 4339
% 3.70/4.11 E 36
% 3.70/4.11 vsize 11.7M
% 3.70/4.11 rss 7.3M
% 3.70/4.11 process.time 3.053s
% 3.70/4.11 wallclock.time 3.055s
% 3.70/4.11 status S
% 3.70/4.11
% 3.70/4.11
% 3.70/4.11 Waldmeister states: Goal proved.
% 3.70/4.11 % SZS status Unsatisfiable
%------------------------------------------------------------------------------