TSTP Solution File: LAT186-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT186-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n018.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 : Sun Jul 17 07:15:35 EDT 2022
% Result : Timeout 289.49s 289.98s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT186-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 05:26:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.99 * |/ | \/ | *
% 0.60/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.99 * A. Jaeger and B. Loechner | | *
% 0.60/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 0.60/0.99
% 0.60/0.99 Goals:
% 0.60/0.99 ------
% 0.60/0.99
% 0.60/0.99 ( 1) meet(a,join(b,c)) ?=? join(meet(a,b),meet(a,c))
% 0.60/0.99
% 0.60/0.99 Detected structure: Verband
% 0.60/0.99 ********************************************************************************
% 0.60/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.99 ********************************************************************************
% 0.60/0.99
% 289.49/289.98 joined goal: 1 meet(a,join(b,c)) ?= join(meet(a,b),meet(a,c)) to meet(a,join(c,b))
% 289.49/289.98 goal joined
% 289.49/289.98 % SZS status Unsatisfiable
% 289.49/289.98 #START OF PROOF
% 289.49/289.98 % SZS output start CNFRefutation
% 289.49/289.98 cnf('0.1.0.0',axiom,
% 289.49/289.98 ( X1 = meet(X1,X1) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.1.1.0',plain,
% 289.49/289.98 ( X1 = meet(X1,X1) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 289.49/289.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 289.49/289.98 cnf('0.1.2.0',plain,
% 289.49/289.98 ( meet(X1,X1) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_1]).
% 289.49/289.98 cnf('0.2.0.0',axiom,
% 289.49/289.98 ( X1 = meet(X1,join(X1,X2)) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.2.1.0',plain,
% 289.49/289.98 ( X1 = meet(X1,join(X1,X2)) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 289.49/289.98 [weight('<1,0,0,[0,0,0,2]>')]).
% 289.49/289.98 cnf('0.2.2.0',plain,
% 289.49/289.98 ( meet(X1,join(X1,X2)) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_2]).
% 289.49/289.98 cnf('0.3.0.0',axiom,
% 289.49/289.98 ( X1 = join(X1,X1) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.3.1.0',plain,
% 289.49/289.98 ( X1 = join(X1,X1) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 289.49/289.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 289.49/289.98 cnf('0.3.2.0',plain,
% 289.49/289.98 ( join(X1,X1) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_3]).
% 289.49/289.98 cnf('0.4.0.0',axiom,
% 289.49/289.98 ( X1 = join(X1,meet(X1,X2)) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.4.1.0',plain,
% 289.49/289.98 ( X1 = join(X1,meet(X1,X2)) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 289.49/289.98 [weight('<3,0,0,[0,0,0,4]>')]).
% 289.49/289.98 cnf('0.4.2.0',plain,
% 289.49/289.98 ( join(X1,meet(X1,X2)) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_4]).
% 289.49/289.98 cnf('0.5.0.0',axiom,
% 289.49/289.98 ( X1 = ifeq(X2,X2,X1,X3) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.5.1.0',plain,
% 289.49/289.98 ( X1 = ifeq(X2,X2,X1,X3) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.5.0.0']),
% 289.49/289.98 [weight('<4,0,0,[0,0,0,5]>')]).
% 289.49/289.98 cnf('0.5.2.0',plain,
% 289.49/289.98 ( ifeq(X1,X1,X2,X3) = X2 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_5]).
% 289.49/289.98 cnf('0.6.0.0',axiom,
% 289.49/289.98 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.6.1.0',plain,
% 289.49/289.98 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.6.0.0']),
% 289.49/289.98 [weight('<5,0,0,[0,0,0,6]>')]).
% 289.49/289.98 cnf('0.6.2.0',plain,
% 289.49/289.98 ( ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_6]).
% 289.49/289.98 cnf('0.7.0.0',axiom,
% 289.49/289.98 ( meet(X1,X2) = meet(X2,X1) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.7.1.0',plain,
% 289.49/289.98 ( meet(X1,X2) = meet(X2,X1) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.7.0.0']),
% 289.49/289.98 [weight('<6,0,0,[0,0,0,7]>')]).
% 289.49/289.98 cnf('0.7.2.0',plain,
% 289.49/289.98 ( meet(X1,X2) = meet(X2,X1) ),
% 289.49/289.98 inference(activate,[status(thm)],['0.7.1.0']),
% 289.49/289.98 [equation_1]).
% 289.49/289.98 cnf('0.8.0.0',axiom,
% 289.49/289.98 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.8.1.0',plain,
% 289.49/289.98 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.8.0.0']),
% 289.49/289.98 [weight('<7,0,0,[0,0,0,8]>')]).
% 289.49/289.98 cnf('0.8.2.0',plain,
% 289.49/289.98 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_7]).
% 289.49/289.98 cnf('0.9.0.0',axiom,
% 289.49/289.98 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,join(X3,meet(X1,X2))))))) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.9.1.0',plain,
% 289.49/289.98 ( meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,meet(X3,join(X1,meet(X2,join(X3,meet(X1,X2))))))) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.9.0.0']),
% 289.49/289.98 [weight('<8,0,0,[0,0,0,9]>')]).
% 289.49/289.98 cnf('0.9.2.0',plain,
% 289.49/289.98 ( meet(X1,join(X2,meet(X3,join(X1,meet(X2,join(X3,meet(X1,X2))))))) = meet(X1,join(X2,meet(X1,X3))) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_8]).
% 289.49/289.98 cnf('0.10.0.0',axiom,
% 289.49/289.98 ( meet(X1,complement(X1)) = zero ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.10.1.0',plain,
% 289.49/289.98 ( meet(X1,complement(X1)) = zero ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.10.0.0']),
% 289.49/289.98 [weight('<9,0,0,[0,0,0,10]>')]).
% 289.49/289.98 cnf('0.10.2.0',plain,
% 289.49/289.98 ( meet(X1,complement(X1)) = zero ),
% 289.49/289.98 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_9]).
% 289.49/289.98 cnf('0.11.0.0',axiom,
% 289.49/289.98 ( join(X1,X2) = join(X2,X1) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.11.1.0',plain,
% 289.49/289.98 ( join(X1,X2) = join(X2,X1) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 289.49/289.98 [weight('<10,0,0,[0,0,0,11]>')]).
% 289.49/289.98 cnf('0.11.2.0',plain,
% 289.49/289.98 ( join(X1,X2) = join(X2,X1) ),
% 289.49/289.98 inference(activate,[status(thm)],['0.11.1.0']),
% 289.49/289.98 [equation_2]).
% 289.49/289.98 cnf('0.12.0.0',axiom,
% 289.49/289.98 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.12.1.0',plain,
% 289.49/289.98 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.12.0.0']),
% 289.49/289.98 [weight('<11,0,0,[0,0,0,12]>')]).
% 289.49/289.98 cnf('0.12.2.0',plain,
% 289.49/289.98 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_10]).
% 289.49/289.98 cnf('0.13.0.0',axiom,
% 289.49/289.98 ( join(X1,complement(X1)) = one ),
% 289.49/289.98 file('/tmp/WALDMEISTER_14478_n018')).
% 289.49/289.98 cnf('0.13.1.0',plain,
% 289.49/289.98 ( join(X1,complement(X1)) = one ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.13.0.0']),
% 289.49/289.98 [weight('<12,0,0,[0,0,0,13]>')]).
% 289.49/289.98 cnf('0.13.2.0',plain,
% 289.49/289.98 ( join(X1,complement(X1)) = one ),
% 289.49/289.98 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_11]).
% 289.49/289.98 cnf('0.14.0.0',plain,
% 289.49/289.98 ( X1 = join(X1,zero) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.14.1.0',plain,
% 289.49/289.98 ( X1 = join(X1,zero) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.14.0.0']),
% 289.49/289.98 [weight('<3,10,4,[0,0,0,2]>')]).
% 289.49/289.98 cnf('0.14.2.0',plain,
% 289.49/289.98 ( join(X1,zero) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_12]).
% 289.49/289.98 cnf('0.15.0.0',plain,
% 289.49/289.98 ( X1 = meet(X1,one) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.2.2.0','0.13.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.15.1.0',plain,
% 289.49/289.98 ( X1 = meet(X1,one) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.15.0.0']),
% 289.49/289.98 [weight('<3,13,2,[0,0,0,2]>')]).
% 289.49/289.98 cnf('0.15.2.0',plain,
% 289.49/289.98 ( meet(X1,one) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_13]).
% 289.49/289.98 cnf('0.16.0.0',plain,
% 289.49/289.98 ( X1 = join(zero,X1) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.14.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.98 [pos('L','L')]).
% 289.49/289.98 cnf('0.16.1.0',plain,
% 289.49/289.98 ( X1 = join(zero,X1) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.16.0.0']),
% 289.49/289.98 [weight('<3,14,11,[1,0,0,0]>')]).
% 289.49/289.98 cnf('0.16.2.0',plain,
% 289.49/289.98 ( join(zero,X1) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_14]).
% 289.49/289.98 cnf('0.18.0.0',plain,
% 289.49/289.98 ( X1 = meet(one,X1) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.15.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.98 [pos('L','L')]).
% 289.49/289.98 cnf('0.18.1.0',plain,
% 289.49/289.98 ( X1 = meet(one,X1) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.18.0.0']),
% 289.49/289.98 [weight('<3,15,7,[1,0,0,0]>')]).
% 289.49/289.98 cnf('0.18.2.0',plain,
% 289.49/289.98 ( meet(one,X1) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_16]).
% 289.49/289.98 cnf('0.20.0.0',plain,
% 289.49/289.98 ( zero = meet(zero,X1) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.2.2.0','0.16.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.20.1.0',plain,
% 289.49/289.98 ( zero = meet(zero,X1) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.20.0.0']),
% 289.49/289.98 [weight('<3,16,2,[0,0,0,2]>')]).
% 289.49/289.98 cnf('0.20.2.0',plain,
% 289.49/289.98 ( meet(zero,X1) = zero ),
% 289.49/289.98 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_18]).
% 289.49/289.98 cnf('0.21.0.0',plain,
% 289.49/289.98 ( join(one,X1) = one ),
% 289.49/289.98 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 289.49/289.98 [pos('L','L')]).
% 289.49/289.98 cnf('0.21.1.0',plain,
% 289.49/289.98 ( join(one,X1) = one ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.21.0.0']),
% 289.49/289.98 [weight('<3,18,2,[1,0,0,0]>')]).
% 289.49/289.98 cnf('0.21.2.0',plain,
% 289.49/289.98 ( join(one,X1) = one ),
% 289.49/289.98 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_19]).
% 289.49/289.98 cnf('0.22.0.0',plain,
% 289.49/289.98 ( zero = meet(X1,zero) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.20.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.98 [pos('L','L')]).
% 289.49/289.98 cnf('0.22.1.0',plain,
% 289.49/289.98 ( zero = meet(X1,zero) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.22.0.0']),
% 289.49/289.98 [weight('<3,20,7,[1,0,0,0]>')]).
% 289.49/289.98 cnf('0.22.2.0',plain,
% 289.49/289.98 ( meet(X1,zero) = zero ),
% 289.49/289.98 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_20]).
% 289.49/289.98 cnf('0.23.0.0',plain,
% 289.49/289.98 ( one = join(X1,one) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.21.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.98 [pos('L','L')]).
% 289.49/289.98 cnf('0.23.1.0',plain,
% 289.49/289.98 ( one = join(X1,one) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.23.0.0']),
% 289.49/289.98 [weight('<3,21,11,[1,0,0,0]>')]).
% 289.49/289.98 cnf('0.23.2.0',plain,
% 289.49/289.98 ( join(X1,one) = one ),
% 289.49/289.98 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_21]).
% 289.49/289.98 cnf('0.24.0.0',plain,
% 289.49/289.98 ( X1 = join(X1,meet(X2,X1)) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.4.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.24.1.0',plain,
% 289.49/289.98 ( X1 = join(X1,meet(X2,X1)) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.24.0.0']),
% 289.49/289.98 [weight('<5,7,4,[0,0,0,2]>')]).
% 289.49/289.98 cnf('0.24.2.0',plain,
% 289.49/289.98 ( join(X1,meet(X2,X1)) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_22]).
% 289.49/289.98 cnf('0.25.0.0',plain,
% 289.49/289.98 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.1','L')]).
% 289.49/289.98 cnf('0.25.1.0',plain,
% 289.49/289.98 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.25.0.0']),
% 289.49/289.98 [weight('<5,8,1,[1,0,0,1]>')]).
% 289.49/289.98 cnf('0.25.2.0',plain,
% 289.49/289.98 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_23]).
% 289.49/289.98 cnf('0.26.0.0',plain,
% 289.49/289.98 ( X1 = meet(X1,join(X2,X1)) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.2.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.26.1.0',plain,
% 289.49/289.98 ( X1 = meet(X1,join(X2,X1)) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.26.0.0']),
% 289.49/289.98 [weight('<5,11,2,[0,0,0,2]>')]).
% 289.49/289.98 cnf('0.26.2.0',plain,
% 289.49/289.98 ( meet(X1,join(X2,X1)) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_24]).
% 289.49/289.98 cnf('0.27.0.0',plain,
% 289.49/289.98 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.1','L')]).
% 289.49/289.98 cnf('0.27.1.0',plain,
% 289.49/289.98 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.27.0.0']),
% 289.49/289.98 [weight('<5,12,3,[1,0,0,1]>')]).
% 289.49/289.98 cnf('0.27.2.0',plain,
% 289.49/289.98 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_25]).
% 289.49/289.98 cnf('0.30.0.0',plain,
% 289.49/289.98 ( join(X1,X2) = join(join(X1,X2),X1) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.24.2.0','0.2.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.30.0.1',plain,
% 289.49/289.98 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.30.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.30.1.0',plain,
% 289.49/289.98 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.30.0.1']),
% 289.49/289.98 [weight('<5,24,2,[1,0,0,2]>')]).
% 289.49/289.98 cnf('0.30.2.0',plain,
% 289.49/289.98 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_28]).
% 289.49/289.98 cnf('0.31.0.0',plain,
% 289.49/289.98 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.25.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.31.1.0',plain,
% 289.49/289.98 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.31.0.0']),
% 289.49/289.98 [weight('<5,25,7,[1,0,0,2]>')]).
% 289.49/289.98 cnf('0.31.2.0',plain,
% 289.49/289.98 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_29]).
% 289.49/289.98 cnf('0.32.0.0',plain,
% 289.49/289.98 ( meet(X1,meet(complement(X1),X2)) = meet(zero,X2) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.8.2.0','0.10.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.1','L')]).
% 289.49/289.98 cnf('0.32.1.0',plain,
% 289.49/289.98 ( meet(X1,meet(complement(X1),X2)) = meet(zero,X2) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.32.0.0']),
% 289.49/289.98 [weight('<6,10,8,[0,0,0,1]>')]).
% 289.49/289.98 cnf('0.32.1.1',plain,
% 289.49/289.98 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.32.1.0','0.20.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.32.2.0',plain,
% 289.49/289.98 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 289.49/289.98 inference(orient,[status(thm)],['0.32.1.1',theory(equality)]),
% 289.49/289.98 [u,rule_30]).
% 289.49/289.98 cnf('0.33.0.0',plain,
% 289.49/289.98 ( join(X1,join(complement(X1),X2)) = join(one,X2) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.12.2.0','0.13.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.1','L')]).
% 289.49/289.98 cnf('0.33.1.0',plain,
% 289.49/289.98 ( join(X1,join(complement(X1),X2)) = join(one,X2) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.33.0.0']),
% 289.49/289.98 [weight('<6,13,12,[0,0,0,1]>')]).
% 289.49/289.98 cnf('0.33.1.1',plain,
% 289.49/289.98 ( join(X1,join(complement(X1),X2)) = one ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.33.1.0','0.21.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.33.2.0',plain,
% 289.49/289.98 ( join(X1,join(complement(X1),X2)) = one ),
% 289.49/289.98 inference(orient,[status(thm)],['0.33.1.1',theory(equality)]),
% 289.49/289.98 [u,rule_31]).
% 289.49/289.98 cnf('0.37.0.0',plain,
% 289.49/289.98 ( meet(meet(complement(X1),X2),X1) = meet(meet(complement(X1),X2),zero) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.31.2.0','0.32.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.37.0.1',plain,
% 289.49/289.98 ( meet(complement(X1),meet(X2,X1)) = meet(meet(complement(X1),X2),zero) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.37.0.0','0.8.2.0',theory(equality)]),
% 289.49/289.98 [pos('L','L')]).
% 289.49/289.98 cnf('0.37.0.2',plain,
% 289.49/289.98 ( meet(complement(X1),meet(X2,X1)) = meet(complement(X1),meet(X2,zero)) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.37.0.1','0.8.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.37.0.3',plain,
% 289.49/289.98 ( meet(complement(X1),meet(X2,X1)) = meet(complement(X1),zero) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.37.0.2','0.22.2.0',theory(equality)]),
% 289.49/289.98 [pos('R.2','L')]).
% 289.49/289.98 cnf('0.37.0.4',plain,
% 289.49/289.98 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.37.0.3','0.22.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.37.1.0',plain,
% 289.49/289.98 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.37.0.4']),
% 289.49/289.98 [weight('<6,32,31,[0,0,0,2]>')]).
% 289.49/289.98 cnf('0.37.2.0',plain,
% 289.49/289.98 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 289.49/289.98 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_35]).
% 289.49/289.98 cnf('0.38.0.0',plain,
% 289.49/289.98 ( one = join(X1,join(X2,complement(X1))) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.33.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.38.1.0',plain,
% 289.49/289.98 ( one = join(X1,join(X2,complement(X1))) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.38.0.0']),
% 289.49/289.98 [weight('<6,33,11,[1,0,0,2]>')]).
% 289.49/289.98 cnf('0.38.2.0',plain,
% 289.49/289.98 ( join(X1,join(X2,complement(X1))) = one ),
% 289.49/289.98 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_36]).
% 289.49/289.98 cnf('0.39.0.0',plain,
% 289.49/289.98 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),one) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.30.2.0','0.33.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.39.0.1',plain,
% 289.49/289.98 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),one) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.39.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.98 [pos('L','L')]).
% 289.49/289.98 cnf('0.39.0.2',plain,
% 289.49/289.98 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,one)) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.39.0.1','0.12.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.39.0.3',plain,
% 289.49/289.98 ( join(complement(X1),join(X2,X1)) = join(complement(X1),one) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.39.0.2','0.23.2.0',theory(equality)]),
% 289.49/289.98 [pos('R.2','L')]).
% 289.49/289.98 cnf('0.39.0.4',plain,
% 289.49/289.98 ( join(complement(X1),join(X2,X1)) = one ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.39.0.3','0.23.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.39.1.0',plain,
% 289.49/289.98 ( join(complement(X1),join(X2,X1)) = one ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.39.0.4']),
% 289.49/289.98 [weight('<6,33,30,[0,0,0,2]>')]).
% 289.49/289.98 cnf('0.39.2.0',plain,
% 289.49/289.98 ( join(complement(X1),join(X2,X1)) = one ),
% 289.49/289.98 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_37]).
% 289.49/289.98 cnf('0.40.0.0',plain,
% 289.49/289.98 ( zero = meet(complement(join(X1,X2)),X1) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.37.2.0','0.2.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.40.1.0',plain,
% 289.49/289.98 ( zero = meet(complement(join(X1,X2)),X1) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.40.0.0']),
% 289.49/289.98 [weight('<6,37,2,[1,0,0,3]>')]).
% 289.49/289.98 cnf('0.40.1.1',plain,
% 289.49/289.98 ( zero = meet(X1,complement(join(X1,X2))) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.40.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.40.2.0',plain,
% 289.49/289.98 ( meet(X1,complement(join(X1,X2))) = zero ),
% 289.49/289.98 inference(orient,[status(thm)],['0.40.1.1',theory(equality)]),
% 289.49/289.98 [x,rule_38]).
% 289.49/289.98 cnf('0.43.0.0',plain,
% 289.49/289.98 ( one = join(complement(meet(X1,X2)),X1) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.39.2.0','0.4.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.43.1.0',plain,
% 289.49/289.98 ( one = join(complement(meet(X1,X2)),X1) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.43.0.0']),
% 289.49/289.98 [weight('<6,39,4,[1,0,0,3]>')]).
% 289.49/289.98 cnf('0.43.1.1',plain,
% 289.49/289.98 ( one = join(X1,complement(meet(X1,X2))) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.43.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.43.2.0',plain,
% 289.49/289.98 ( join(X1,complement(meet(X1,X2))) = one ),
% 289.49/289.98 inference(orient,[status(thm)],['0.43.1.1',theory(equality)]),
% 289.49/289.98 [x,rule_41]).
% 289.49/289.98 cnf('0.45.0.0',plain,
% 289.49/289.98 ( one = join(complement(meet(X1,X2)),X2) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.39.2.0','0.24.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.45.1.0',plain,
% 289.49/289.98 ( one = join(complement(meet(X1,X2)),X2) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.45.0.0']),
% 289.49/289.98 [weight('<6,39,24,[1,0,0,3]>')]).
% 289.49/289.98 cnf('0.45.1.1',plain,
% 289.49/289.98 ( one = join(X2,complement(meet(X1,X2))) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.45.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.45.2.0',plain,
% 289.49/289.98 ( join(X1,complement(meet(X2,X1))) = one ),
% 289.49/289.98 inference(orient,[status(thm)],['0.45.1.1',theory(equality)]),
% 289.49/289.98 [x,rule_43]).
% 289.49/289.98 cnf('0.46.0.0',plain,
% 289.49/289.98 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.1','L')]).
% 289.49/289.98 cnf('0.46.1.0',plain,
% 289.49/289.98 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.46.0.0']),
% 289.49/289.98 [weight('<7,8,2,[1,0,0,1]>')]).
% 289.49/289.98 cnf('0.46.2.0',plain,
% 289.49/289.98 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_44]).
% 289.49/289.98 cnf('0.47.0.0',plain,
% 289.49/289.98 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.12.2.0','0.4.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.1','L')]).
% 289.49/289.98 cnf('0.47.1.0',plain,
% 289.49/289.98 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.47.0.0']),
% 289.49/289.98 [weight('<7,12,4,[1,0,0,1]>')]).
% 289.49/289.98 cnf('0.47.2.0',plain,
% 289.49/289.98 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_45]).
% 289.49/289.98 cnf('0.49.0.0',plain,
% 289.49/289.98 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.12.2.0','0.24.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.1','L')]).
% 289.49/289.98 cnf('0.49.1.0',plain,
% 289.49/289.98 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.49.0.0']),
% 289.49/289.98 [weight('<7,24,12,[0,0,0,1]>')]).
% 289.49/289.98 cnf('0.49.2.0',plain,
% 289.49/289.98 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_47]).
% 289.49/289.98 cnf('0.50.0.0',plain,
% 289.49/289.98 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.8.2.0','0.26.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.1','L')]).
% 289.49/289.98 cnf('0.50.1.0',plain,
% 289.49/289.98 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.50.0.0']),
% 289.49/289.98 [weight('<7,26,8,[0,0,0,1]>')]).
% 289.49/289.98 cnf('0.50.2.0',plain,
% 289.49/289.98 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_48]).
% 289.49/289.98 cnf('0.51.0.0',plain,
% 289.49/289.98 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.26.2.0','0.12.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.51.1.0',plain,
% 289.49/289.98 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.51.0.0']),
% 289.49/289.98 [weight('<7,26,12,[1,0,0,2]>')]).
% 289.49/289.98 cnf('0.51.2.0',plain,
% 289.49/289.98 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_49]).
% 289.49/289.98 cnf('0.52.0.0',plain,
% 289.49/289.98 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.12.2.0','0.30.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.1','L')]).
% 289.49/289.98 cnf('0.52.0.1',plain,
% 289.49/289.98 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.52.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.52.0.2',plain,
% 289.49/289.98 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.52.0.1','0.12.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.52.1.0',plain,
% 289.49/289.98 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.52.0.2']),
% 289.49/289.98 [weight('<7,30,12,[0,0,0,1]>')]).
% 289.49/289.98 cnf('0.52.2.0',plain,
% 289.49/289.98 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_50]).
% 289.49/289.98 cnf('0.55.0.0',plain,
% 289.49/289.98 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.8.2.0','0.31.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.1','L')]).
% 289.49/289.98 cnf('0.55.0.1',plain,
% 289.49/289.98 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.55.0.0','0.8.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.55.0.2',plain,
% 289.49/289.98 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.55.0.1','0.8.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.55.1.0',plain,
% 289.49/289.98 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.55.0.2']),
% 289.49/289.98 [weight('<7,31,8,[0,0,0,1]>')]).
% 289.49/289.98 cnf('0.55.2.0',plain,
% 289.49/289.98 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_53]).
% 289.49/289.98 cnf('0.56.0.0',plain,
% 289.49/289.98 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.31.2.0','0.8.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.56.1.0',plain,
% 289.49/289.98 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.56.0.0']),
% 289.49/289.98 [weight('<7,31,8,[1,0,0,2]>')]).
% 289.49/289.98 cnf('0.56.2.0',plain,
% 289.49/289.98 ( meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_54]).
% 289.49/289.98 cnf('0.58.0.0',plain,
% 289.49/289.98 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.46.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.58.1.0',plain,
% 289.49/289.98 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.58.0.0']),
% 289.49/289.98 [weight('<7,46,7,[1,0,0,2]>')]).
% 289.49/289.98 cnf('0.58.2.0',plain,
% 289.49/289.98 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_56]).
% 289.49/289.98 cnf('0.59.0.0',plain,
% 289.49/289.98 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X1,X3)) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.46.2.0','0.26.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.59.0.1',plain,
% 289.49/289.98 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.59.0.0','0.2.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.59.1.0',plain,
% 289.49/289.98 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.59.0.1']),
% 289.49/289.98 [weight('<7,46,26,[1,0,0,2]>')]).
% 289.49/289.98 cnf('0.59.2.0',plain,
% 289.49/289.98 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_57]).
% 289.49/289.98 cnf('0.60.0.0',plain,
% 289.49/289.98 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.47.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.60.1.0',plain,
% 289.49/289.98 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.60.0.0']),
% 289.49/289.98 [weight('<7,47,11,[1,0,0,2]>')]).
% 289.49/289.98 cnf('0.60.2.0',plain,
% 289.49/289.98 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 289.49/289.98 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 289.49/289.98 [x,rule_58]).
% 289.49/289.98 cnf('0.61.0.0',plain,
% 289.49/289.98 ( join(X1,meet(X2,meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.47.2.0','0.24.2.0',theory(equality)]),
% 289.49/289.98 [pos('L.2','L')]).
% 289.49/289.98 cnf('0.61.0.1',plain,
% 289.49/289.98 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 289.49/289.98 inference(reduction,[status(thm)],['0.61.0.0','0.4.2.0',theory(equality)]),
% 289.49/289.98 [pos('R','L')]).
% 289.49/289.98 cnf('0.61.1.0',plain,
% 289.49/289.98 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.61.0.1']),
% 289.49/289.98 [weight('<7,47,24,[1,0,0,2]>')]).
% 289.49/289.98 cnf('0.61.2.0',plain,
% 289.49/289.98 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 289.49/289.98 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 289.49/289.98 [u,rule_59]).
% 289.49/289.98 cnf('0.64.0.0',plain,
% 289.49/289.98 ( zero = meet(X1,meet(X2,complement(meet(X1,X2)))) ),
% 289.49/289.98 inference(cp,[status(thm)],['0.10.2.0','0.8.2.0',theory(equality)]),
% 289.49/289.98 [pos('L','L')]).
% 289.49/289.98 cnf('0.64.1.0',plain,
% 289.49/289.98 ( zero = meet(X1,meet(X2,complement(meet(X1,X2)))) ),
% 289.49/289.98 inference(weigh,[status(thm)],['0.64.0.0']),
% 289.49/289.98 [weight('<8,10,8,[1,0,0,0]>')]).
% 289.49/289.98 cnf('0.64.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,complement(meet(X1,X2)))) = zero ),
% 289.49/289.99 inference(orient,[status(thm)],['0.64.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_62]).
% 289.49/289.99 cnf('0.86.0.0',plain,
% 289.49/289.99 ( join(X1,join(X2,complement(meet(X1,X3)))) = join(X1,one) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.47.2.0','0.38.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.86.0.1',plain,
% 289.49/289.99 ( join(X1,join(X2,complement(meet(X1,X3)))) = one ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.86.0.0','0.23.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.86.1.0',plain,
% 289.49/289.99 ( join(X1,join(X2,complement(meet(X1,X3)))) = one ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.86.0.1']),
% 289.49/289.99 [weight('<8,47,38,[1,0,0,2]>')]).
% 289.49/289.99 cnf('0.86.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,complement(meet(X1,X3)))) = one ),
% 289.49/289.99 inference(orient,[status(thm)],['0.86.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_84]).
% 289.49/289.99 cnf('0.98.0.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.98.1.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.98.0.0']),
% 289.49/289.99 [weight('<9,8,2,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.98.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.98.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_96]).
% 289.49/289.99 cnf('0.99.0.0',plain,
% 289.49/289.99 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.4.2.0','0.8.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.99.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.99.0.0']),
% 289.49/289.99 [weight('<9,8,4,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.99.2.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_97]).
% 289.49/289.99 cnf('0.100.0.0',plain,
% 289.49/289.99 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X2,X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2.2.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.100.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X2,X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.100.0.0']),
% 289.49/289.99 [weight('<9,12,2,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.100.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_98]).
% 289.49/289.99 cnf('0.101.0.0',plain,
% 289.49/289.99 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.12.2.0','0.4.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.101.1.0',plain,
% 289.49/289.99 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.101.0.0']),
% 289.49/289.99 [weight('<9,12,4,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.101.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_99]).
% 289.49/289.99 cnf('0.102.0.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.24.2.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.102.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.102.0.0']),
% 289.49/289.99 [weight('<9,24,12,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.102.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_100]).
% 289.49/289.99 cnf('0.103.0.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.26.2.0','0.8.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.103.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.103.0.0']),
% 289.49/289.99 [weight('<9,26,8,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.103.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_101]).
% 289.49/289.99 cnf('0.104.0.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.24.2.0','0.46.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.104.1.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.104.0.0']),
% 289.49/289.99 [weight('<9,46,24,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.104.1.1',plain,
% 289.49/289.99 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.104.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.104.2.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.104.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_102]).
% 289.49/289.99 cnf('0.105.0.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.104.2.0','0.25.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.105.0.1',plain,
% 289.49/289.99 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.105.0.0','0.24.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.105.1.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.105.0.1']),
% 289.49/289.99 [weight('<7,104,25,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.105.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_103]).
% 289.49/289.99 cnf('0.107.0.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.105.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.107.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.107.0.0']),
% 289.49/289.99 [weight('<7,105,11,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.107.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_105]).
% 289.49/289.99 cnf('0.109.0.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.26.2.0','0.47.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.109.1.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.109.0.0']),
% 289.49/289.99 [weight('<9,47,26,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.109.1.1',plain,
% 289.49/289.99 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.109.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.109.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.109.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_107]).
% 289.49/289.99 cnf('0.110.0.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(X1,X2),join(X1,X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.109.2.0','0.27.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.110.0.1',plain,
% 289.49/289.99 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.110.0.0','0.26.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.110.1.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.110.0.1']),
% 289.49/289.99 [weight('<7,109,27,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.110.2.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.110.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_108]).
% 289.49/289.99 cnf('0.112.0.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(meet(X1,X3),join(X2,X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.110.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.112.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(meet(X1,X3),join(X2,X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.112.0.0']),
% 289.49/289.99 [weight('<7,110,11,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.112.2.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),join(X3,X1)) = join(X1,X3) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.112.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_110]).
% 289.49/289.99 cnf('0.118.0.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.26.2.0','0.49.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.118.1.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.118.0.0']),
% 289.49/289.99 [weight('<9,49,26,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.118.1.1',plain,
% 289.49/289.99 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.118.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.118.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.118.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_116]).
% 289.49/289.99 cnf('0.122.0.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.24.2.0','0.50.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.122.1.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.122.0.0']),
% 289.49/289.99 [weight('<9,50,24,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.122.1.1',plain,
% 289.49/289.99 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.122.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.122.2.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.122.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_120]).
% 289.49/289.99 cnf('0.132.0.0',plain,
% 289.49/289.99 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.51.2.0','0.52.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.132.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.132.0.0']),
% 289.49/289.99 [weight('<9,52,51,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.132.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.132.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_130]).
% 289.49/289.99 cnf('0.146.0.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.24.2.0','0.58.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.146.1.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.146.0.0']),
% 289.49/289.99 [weight('<9,58,24,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.146.1.1',plain,
% 289.49/289.99 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.146.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.146.2.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.146.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_144]).
% 289.49/289.99 cnf('0.148.0.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.26.2.0','0.60.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.148.1.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.148.0.0']),
% 289.49/289.99 [weight('<9,60,26,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.148.1.1',plain,
% 289.49/289.99 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.148.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.148.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.148.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_146]).
% 289.49/289.99 cnf('0.155.0.0',plain,
% 289.49/289.99 ( meet(X1,X2) = join(meet(X2,X1),meet(X1,meet(X2,X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.99.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.155.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = join(meet(X2,X1),meet(X1,meet(X2,X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.155.0.0']),
% 289.49/289.99 [weight('<9,99,7,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.155.2.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X2,meet(X1,X3))) = meet(X2,X1) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.155.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_153]).
% 289.49/289.99 cnf('0.157.0.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,join(X2,meet(join(X2,X1),X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.101.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2.1','L')]).
% 289.49/289.99 cnf('0.157.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,join(X2,meet(join(X2,X1),X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.157.0.0']),
% 289.49/289.99 [weight('<9,101,11,[1,0,0,5]>')]).
% 289.49/289.99 cnf('0.157.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,meet(join(X2,X1),X3))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.157.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_155]).
% 289.49/289.99 cnf('0.158.0.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.102.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2.2','L')]).
% 289.49/289.99 cnf('0.158.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,join(X2,meet(X3,join(X2,X1)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.158.0.0']),
% 289.49/289.99 [weight('<9,102,11,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.158.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,meet(X3,join(X2,X1)))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_156]).
% 289.49/289.99 cnf('0.160.0.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.104.2.0','0.2.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.160.1.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.160.0.0']),
% 289.49/289.99 [weight('<9,104,2,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.160.2.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X1,X2),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_158]).
% 289.49/289.99 cnf('0.170.0.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.109.2.0','0.4.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.170.1.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.170.0.0']),
% 289.49/289.99 [weight('<9,109,4,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.170.2.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_168]).
% 289.49/289.99 cnf('0.173.0.0',plain,
% 289.49/289.99 ( join(join(X1,X2),X3) = join(meet(X2,X4),join(join(X1,X2),X3)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.110.2.0','0.107.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.173.0.1',plain,
% 289.49/289.99 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(join(X1,X2),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.173.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.173.0.2',plain,
% 289.49/289.99 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(X1,join(X2,X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.173.0.1','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.173.1.0',plain,
% 289.49/289.99 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(X1,join(X2,X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.173.0.2']),
% 289.49/289.99 [weight('<9,110,107,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.173.2.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),join(X3,join(X1,X4))) = join(X3,join(X1,X4)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.173.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_171]).
% 289.49/289.99 cnf('0.176.0.0',plain,
% 289.49/289.99 ( join(join(X1,X2),X3) = join(meet(X1,X4),join(X3,join(X1,X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.112.2.0','0.105.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.176.0.1',plain,
% 289.49/289.99 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X3,join(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.176.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.176.1.0',plain,
% 289.49/289.99 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X3,join(X1,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.176.0.1']),
% 289.49/289.99 [weight('<9,112,105,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.176.1.1',plain,
% 289.49/289.99 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.176.1.0','0.173.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.176.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 289.49/289.99 inference(activate,[status(thm)],['0.176.1.1']),
% 289.49/289.99 [equation_4]).
% 289.49/289.99 cnf('0.179.0.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.118.2.0','0.24.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.179.1.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.179.0.0']),
% 289.49/289.99 [weight('<9,118,24,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.179.2.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_175]).
% 289.49/289.99 cnf('0.184.0.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.132.2.0','0.4.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.184.1.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.184.0.0']),
% 289.49/289.99 [weight('<9,132,4,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.184.1.1',plain,
% 289.49/289.99 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,meet(X2,X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.184.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.184.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.184.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_180]).
% 289.49/289.99 cnf('0.189.0.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.158.2.0','0.160.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.189.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,meet(join(X2,X3),join(X2,X1))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.189.0.0']),
% 289.49/289.99 [weight('<9,160,158,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.189.2.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X2,X3),join(X2,X1))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.189.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_185]).
% 289.49/289.99 cnf('0.195.0.0',plain,
% 289.49/289.99 ( join(join(X1,meet(X2,X3)),join(X4,X2)) = join(X4,join(X2,X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.176.2.0','0.60.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.195.0.1',plain,
% 289.49/289.99 ( join(X1,join(meet(X2,X3),join(X4,X2))) = join(X4,join(X2,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.195.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.195.1.0',plain,
% 289.49/289.99 ( join(X1,join(meet(X2,X3),join(X4,X2))) = join(X4,join(X2,X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.195.0.1']),
% 289.49/289.99 [weight('<9,176,60,[1,0,0,2]>')]).
% 289.49/289.99 cnf('0.195.1.1',plain,
% 289.49/289.99 ( join(X1,join(X2,join(meet(X2,X3),X4))) = join(X4,join(X2,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.195.1.0','0.176.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.195.1.2',plain,
% 289.49/289.99 ( join(X1,join(X2,X4)) = join(X4,join(X2,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.195.1.1','0.47.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.195.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,X3)) = join(X3,join(X2,X1)) ),
% 289.49/289.99 inference(activate,[status(thm)],['0.195.1.2']),
% 289.49/289.99 [equation_6]).
% 289.49/289.99 cnf('0.198.0.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.98.2.0','0.179.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.198.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),meet(X3,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.198.0.0']),
% 289.49/289.99 [weight('<9,179,98,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.198.2.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X1,X2),meet(X3,X2))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.198.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_192]).
% 289.49/289.99 cnf('0.199.0.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X1,X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.103.2.0','0.179.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.199.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X1,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.199.0.0']),
% 289.49/289.99 [weight('<9,179,103,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.199.2.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X2,X3),meet(X1,X3))) = meet(X1,X3) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_193]).
% 289.49/289.99 cnf('0.217.0.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.217.1.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.217.0.0']),
% 289.49/289.99 [weight('<10,8,7,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.217.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 289.49/289.99 inference(activate,[status(thm)],['0.217.1.0']),
% 289.49/289.99 [equation_7]).
% 289.49/289.99 cnf('0.218.0.0',plain,
% 289.49/289.99 ( meet(meet(X1,join(X2,X3)),meet(X4,X2)) = meet(X4,meet(X2,X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.217.2.0','0.58.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.218.0.1',plain,
% 289.49/289.99 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.218.0.0','0.8.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.218.1.0',plain,
% 289.49/289.99 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.218.0.1']),
% 289.49/289.99 [weight('<9,217,58,[1,0,0,2]>')]).
% 289.49/289.99 cnf('0.218.1.1',plain,
% 289.49/289.99 ( meet(X1,meet(X2,meet(join(X2,X3),X4))) = meet(X4,meet(X2,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.218.1.0','0.217.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.218.1.2',plain,
% 289.49/289.99 ( meet(X1,meet(X2,X4)) = meet(X4,meet(X2,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.218.1.1','0.46.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.218.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 289.49/289.99 inference(activate,[status(thm)],['0.218.1.2']),
% 289.49/289.99 [equation_8]).
% 289.49/289.99 cnf('0.228.0.0',plain,
% 289.49/289.99 ( one = join(X1,join(X2,complement(meet(X3,join(X1,X2))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.45.2.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.228.1.0',plain,
% 289.49/289.99 ( one = join(X1,join(X2,complement(meet(X3,join(X1,X2))))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.228.0.0']),
% 289.49/289.99 [weight('<10,45,12,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.228.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,complement(meet(X3,join(X1,X2))))) = one ),
% 289.49/289.99 inference(orient,[status(thm)],['0.228.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_220]).
% 289.49/289.99 cnf('0.233.0.0',plain,
% 289.49/289.99 ( one = join(meet(X1,join(X2,X3)),complement(meet(X2,X1))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.45.2.0','0.58.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.233.1.0',plain,
% 289.49/289.99 ( one = join(meet(X1,join(X2,X3)),complement(meet(X2,X1))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.233.0.0']),
% 289.49/289.99 [weight('<10,58,45,[0,0,0,3]>')]).
% 289.49/289.99 cnf('0.233.1.1',plain,
% 289.49/289.99 ( one = join(complement(meet(X2,X1)),meet(X1,join(X2,X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.233.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.233.2.0',plain,
% 289.49/289.99 ( join(complement(meet(X1,X2)),meet(X2,join(X1,X3))) = one ),
% 289.49/289.99 inference(orient,[status(thm)],['0.233.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_225]).
% 289.49/289.99 cnf('0.337.0.0',plain,
% 289.49/289.99 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,meet(join(meet(X1,X2),X4),X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.46.2.0','0.8.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.337.0.1',plain,
% 289.49/289.99 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(join(meet(X1,X2),X4),X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.337.0.0','0.8.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.337.1.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(join(meet(X1,X2),X4),X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.337.0.1']),
% 289.49/289.99 [weight('<11,46,8,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.337.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,meet(join(meet(X1,X2),X3),X4))) = meet(X1,meet(X2,X4)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.337.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_329]).
% 289.49/289.99 cnf('0.340.0.0',plain,
% 289.49/289.99 ( join(join(X1,X2),X3) = join(X1,join(X2,join(meet(join(X1,X2),X4),X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.47.2.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.340.0.1',plain,
% 289.49/289.99 ( join(X1,join(X2,X3)) = join(X1,join(X2,join(meet(join(X1,X2),X4),X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.340.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.340.1.0',plain,
% 289.49/289.99 ( join(X1,join(X2,X3)) = join(X1,join(X2,join(meet(join(X1,X2),X4),X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.340.0.1']),
% 289.49/289.99 [weight('<11,47,12,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.340.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,join(meet(join(X1,X2),X3),X4))) = join(X1,join(X2,X4)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.340.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_332]).
% 289.49/289.99 cnf('0.345.0.0',plain,
% 289.49/289.99 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,meet(join(X4,meet(X1,X2)),X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.50.2.0','0.8.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.345.0.1',plain,
% 289.49/289.99 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(join(X4,meet(X1,X2)),X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.345.0.0','0.8.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.345.1.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(join(X4,meet(X1,X2)),X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.345.0.1']),
% 289.49/289.99 [weight('<11,50,8,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.345.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,meet(join(X3,meet(X1,X2)),X4))) = meet(X1,meet(X2,X4)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.345.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_337]).
% 289.49/289.99 cnf('0.362.0.0',plain,
% 289.49/289.99 ( join(X1,X2) = meet(join(X1,X2),join(X3,join(X1,join(X2,X4)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.59.2.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.362.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = meet(join(X1,X2),join(X3,join(X1,join(X2,X4)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.362.0.0']),
% 289.49/289.99 [weight('<11,59,12,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.362.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X3,join(X1,join(X2,X4)))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.362.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_354]).
% 289.49/289.99 cnf('0.367.0.0',plain,
% 289.49/289.99 ( meet(X1,X2) = join(meet(X1,X2),meet(X3,meet(X1,meet(X2,X4)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.61.2.0','0.8.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.367.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = join(meet(X1,X2),meet(X3,meet(X1,meet(X2,X4)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.367.0.0']),
% 289.49/289.99 [weight('<11,61,8,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.367.2.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X3,meet(X1,meet(X2,X4)))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.367.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_359]).
% 289.49/289.99 cnf('0.390.0.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) = meet(X1,meet(X2,meet(X1,X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.55.2.0','0.103.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.390.0.1',plain,
% 289.49/289.99 ( meet(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.390.0.0','0.55.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.390.1.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.390.0.1']),
% 289.49/289.99 [weight('<11,103,55,[0,0,0,4]>')]).
% 289.49/289.99 cnf('0.390.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,meet(X3,join(X4,meet(X1,X3))))) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.390.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_382]).
% 289.49/289.99 cnf('0.530.0.0',plain,
% 289.49/289.99 ( meet(join(X1,meet(X2,X3)),join(join(X2,X1),X4)) = join(join(X1,meet(X2,X3)),meet(join(X1,meet(X2,X3)),join(join(X2,X1),X4))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.146.2.0','0.148.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.530.0.1',plain,
% 289.49/289.99 ( meet(join(X1,meet(X2,X3)),join(X2,join(X1,X4))) = join(join(X1,meet(X2,X3)),meet(join(X1,meet(X2,X3)),join(join(X2,X1),X4))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.530.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.530.0.2',plain,
% 289.49/289.99 ( meet(join(X1,meet(X2,X3)),join(X2,join(X1,X4))) = join(X1,join(meet(X2,X3),meet(join(X1,meet(X2,X3)),join(join(X2,X1),X4)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.530.0.1','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.530.0.3',plain,
% 289.49/289.99 ( meet(join(X1,meet(X2,X3)),join(X2,join(X1,X4))) = join(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.530.0.2','0.101.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.530.1.0',plain,
% 289.49/289.99 ( meet(join(X1,meet(X2,X3)),join(X2,join(X1,X4))) = join(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.530.0.3']),
% 289.49/289.99 [weight('<11,148,146,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.530.2.0',plain,
% 289.49/289.99 ( meet(join(X1,meet(X2,X3)),join(X2,join(X1,X4))) = join(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.530.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_522]).
% 289.49/289.99 cnf('0.569.0.0',plain,
% 289.49/289.99 ( join(X1,join(meet(join(X1,X2),join(X1,X3)),X4)) = join(meet(join(X1,X2),join(X1,X3)),X4) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.12.2.0','0.160.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.569.1.0',plain,
% 289.49/289.99 ( join(X1,join(meet(join(X1,X2),join(X1,X3)),X4)) = join(meet(join(X1,X2),join(X1,X3)),X4) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.569.0.0']),
% 289.49/289.99 [weight('<11,160,12,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.569.2.0',plain,
% 289.49/289.99 ( join(X1,join(meet(join(X1,X2),join(X1,X3)),X4)) = join(meet(join(X1,X2),join(X1,X3)),X4) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.569.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_561]).
% 289.49/289.99 cnf('0.587.0.0',plain,
% 289.49/289.99 ( meet(join(meet(X1,X2),meet(X1,X3)),meet(X4,X1)) = meet(join(meet(X1,X2),meet(X1,X3)),meet(X4,join(meet(X1,X2),meet(X1,X3)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.56.2.0','0.170.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.587.0.1',plain,
% 289.49/289.99 ( meet(join(meet(X1,X2),meet(X1,X3)),meet(X4,X1)) = meet(join(meet(X1,X2),meet(X1,X3)),X4) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.587.0.0','0.31.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.587.1.0',plain,
% 289.49/289.99 ( meet(join(meet(X1,X2),meet(X1,X3)),meet(X4,X1)) = meet(join(meet(X1,X2),meet(X1,X3)),X4) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.587.0.1']),
% 289.49/289.99 [weight('<11,170,56,[0,0,0,4]>')]).
% 289.49/289.99 cnf('0.587.1.1',plain,
% 289.49/289.99 ( meet(X1,meet(X4,join(meet(X1,X2),meet(X1,X3)))) = meet(join(meet(X1,X2),meet(X1,X3)),X4) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.587.1.0','0.218.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.587.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,join(meet(X1,X3),meet(X1,X4)))) = meet(join(meet(X1,X3),meet(X1,X4)),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.587.1.1',theory(equality)]),
% 289.49/289.99 [u,rule_579]).
% 289.49/289.99 cnf('0.707.0.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(join(X1,X2),X3),meet(X4,X3))) = meet(X1,meet(join(X1,X2),X3)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.46.2.0','0.198.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.707.0.1',plain,
% 289.49/289.99 ( meet(X1,join(meet(join(X1,X2),X3),meet(X4,X3))) = meet(X1,X3) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.707.0.0','0.46.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.707.1.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(join(X1,X2),X3),meet(X4,X3))) = meet(X1,X3) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.707.0.1']),
% 289.49/289.99 [weight('<11,198,46,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.707.2.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(join(X1,X2),X3),meet(X4,X3))) = meet(X1,X3) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.707.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_699]).
% 289.49/289.99 cnf('0.1364.0.0',plain,
% 289.49/289.99 ( join(meet(join(X1,X2),join(X1,X3)),complement(meet(X1,X4))) = one ),
% 289.49/289.99 inference(cp,[status(thm)],['0.569.2.0','0.86.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.1364.1.0',plain,
% 289.49/289.99 ( join(meet(join(X1,X2),join(X1,X3)),complement(meet(X1,X4))) = one ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.1364.0.0']),
% 289.49/289.99 [weight('<12,569,86,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.1364.2.0',plain,
% 289.49/289.99 ( join(meet(join(X1,X2),join(X1,X3)),complement(meet(X1,X4))) = one ),
% 289.49/289.99 inference(orient,[status(thm)],['0.1364.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_1356]).
% 289.49/289.99 cnf('0.2114.0.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,X3)) = join(meet(join(X2,X3),X1),meet(X1,join(X2,meet(X3,X4)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.155.2.0','0.184.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.2114.1.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,X3)) = join(meet(join(X2,X3),X1),meet(X1,join(X2,meet(X3,X4)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2114.0.0']),
% 289.49/289.99 [weight('<13,184,155,[0,0,0,6]>')]).
% 289.49/289.99 cnf('0.2114.2.0',plain,
% 289.49/289.99 ( join(meet(join(X1,X2),X3),meet(X3,join(X1,meet(X2,X4)))) = meet(X3,join(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2114.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2106]).
% 289.49/289.99 cnf('0.2322.0.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,join(X3,X4))) = meet(X1,join(join(X2,X3),meet(X1,join(X2,join(X3,X4))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.199.2.0','0.100.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.2322.0.1',plain,
% 289.49/289.99 ( meet(X1,join(X2,join(X3,X4))) = meet(X1,join(X2,join(X3,meet(X1,join(X2,join(X3,X4)))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2322.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.2322.1.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,join(X3,X4))) = meet(X1,join(X2,join(X3,meet(X1,join(X2,join(X3,X4)))))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2322.0.1']),
% 289.49/289.99 [weight('<13,199,100,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.2322.2.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,join(X3,meet(X1,join(X2,join(X3,X4)))))) = meet(X1,join(X2,join(X3,X4))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2322.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2314]).
% 289.49/289.99 cnf('0.2565.0.0',plain,
% 289.49/289.99 ( meet(complement(meet(X1,X2)),join(X2,meet(complement(meet(X1,X2)),X1))) = meet(complement(meet(X1,X2)),join(X2,meet(X1,one))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9.2.0','0.233.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2.2','L')]).
% 289.49/289.99 cnf('0.2565.0.1',plain,
% 289.49/289.99 ( meet(complement(meet(X1,X2)),join(X2,meet(complement(meet(X1,X2)),X1))) = meet(complement(meet(X1,X2)),join(X2,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2565.0.0','0.15.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2.2','L')]).
% 289.49/289.99 cnf('0.2565.1.0',plain,
% 289.49/289.99 ( meet(complement(meet(X1,X2)),join(X2,meet(complement(meet(X1,X2)),X1))) = meet(complement(meet(X1,X2)),join(X2,X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2565.0.1']),
% 289.49/289.99 [weight('<13,233,9,[0,0,0,6]>')]).
% 289.49/289.99 cnf('0.2565.1.1',plain,
% 289.49/289.99 ( meet(complement(meet(X1,X2)),join(X2,meet(X1,complement(meet(X1,X2))))) = meet(complement(meet(X1,X2)),join(X2,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2565.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.2565.1.2',plain,
% 289.49/289.99 ( meet(complement(meet(X1,X2)),join(X2,meet(X1,complement(meet(X1,X2))))) = meet(join(X2,X1),complement(meet(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2565.1.1','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.2565.2.0',plain,
% 289.49/289.99 ( meet(complement(meet(X1,X2)),join(X2,meet(X1,complement(meet(X1,X2))))) = meet(join(X2,X1),complement(meet(X1,X2))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2565.1.2',theory(equality)]),
% 289.49/289.99 [u,rule_2557]).
% 289.49/289.99 cnf('0.2566.0.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(join(X1,meet(X2,complement(meet(X2,X1)))),meet(join(X1,X2),complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.24.2.0','0.2565.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.2566.0.1',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,join(meet(X2,complement(meet(X2,X1))),meet(join(X1,X2),complement(meet(X2,X1))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2566.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.2566.0.2',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,meet(join(X1,X2),complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2566.0.1','0.122.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.2566.1.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,meet(join(X1,X2),complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2566.0.2']),
% 289.49/289.99 [weight('<10,2565,24,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.2566.2.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X1,X2),complement(meet(X2,X1)))) = join(X1,meet(X2,complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2566.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2558]).
% 289.49/289.99 cnf('0.2567.0.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,meet(join(X1,X2),complement(meet(X1,X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2566.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2.1','L')]).
% 289.49/289.99 cnf('0.2567.1.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,meet(join(X1,X2),complement(meet(X1,X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2567.0.0']),
% 289.49/289.99 [weight('<10,2566,7,[1,0,0,7]>')]).
% 289.49/289.99 cnf('0.2567.2.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X1,X2),complement(meet(X1,X2)))) = join(X1,meet(X2,complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2567.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2559]).
% 289.49/289.99 cnf('0.2568.0.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,meet(join(X2,X1),complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2566.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.2568.1.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,meet(join(X2,X1),complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2568.0.0']),
% 289.49/289.99 [weight('<10,2566,11,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.2568.2.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X2,X1),complement(meet(X2,X1)))) = join(X1,meet(X2,complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2568.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2560]).
% 289.49/289.99 cnf('0.2574.0.0',plain,
% 289.49/289.99 ( join(X1,join(meet(join(X2,X1),complement(meet(X2,X1))),X3)) = join(join(X1,meet(X2,complement(meet(X2,X1)))),X3) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.12.2.0','0.2568.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.2574.0.1',plain,
% 289.49/289.99 ( join(X1,join(meet(join(X2,X1),complement(meet(X2,X1))),X3)) = join(X1,join(meet(X2,complement(meet(X2,X1))),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2574.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.2574.1.0',plain,
% 289.49/289.99 ( join(X1,join(meet(join(X2,X1),complement(meet(X2,X1))),X3)) = join(X1,join(meet(X2,complement(meet(X2,X1))),X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2574.0.1']),
% 289.49/289.99 [weight('<12,2568,12,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.2574.2.0',plain,
% 289.49/289.99 ( join(X1,join(meet(join(X2,X1),complement(meet(X2,X1))),X3)) = join(X1,join(meet(X2,complement(meet(X2,X1))),X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2574.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_2566]).
% 289.49/289.99 cnf('0.2578.0.0',plain,
% 289.49/289.99 ( join(X1,join(meet(X2,complement(meet(X2,X1))),meet(complement(meet(X2,X1)),join(X2,meet(X1,X3))))) = join(X1,meet(complement(meet(X2,X1)),join(X2,X1))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2574.2.0','0.2114.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.2578.0.1',plain,
% 289.49/289.99 ( join(X1,meet(complement(meet(X2,X1)),join(X2,meet(X1,X3)))) = join(X1,meet(complement(meet(X2,X1)),join(X2,X1))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2578.0.0','0.146.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.2578.1.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(meet(X2,X1)),join(X2,meet(X1,X3)))) = join(X1,meet(complement(meet(X2,X1)),join(X2,X1))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2578.0.1']),
% 289.49/289.99 [weight('<12,2574,2114,[1,0,0,2]>')]).
% 289.49/289.99 cnf('0.2578.1.1',plain,
% 289.49/289.99 ( join(X1,meet(complement(meet(X2,X1)),join(X2,meet(X1,X3)))) = join(X1,meet(join(X2,X1),complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2578.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.2578.1.2',plain,
% 289.49/289.99 ( join(X1,meet(complement(meet(X2,X1)),join(X2,meet(X1,X3)))) = join(X1,meet(X2,complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2578.1.1','0.2568.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.2578.2.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(meet(X2,X1)),join(X2,meet(X1,X3)))) = join(X1,meet(X2,complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2578.1.2',theory(equality)]),
% 289.49/289.99 [u,rule_2570]).
% 289.49/289.99 cnf('0.2580.0.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,meet(complement(meet(X1,X2)),join(X2,meet(X1,X3)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2578.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.1','L')]).
% 289.49/289.99 cnf('0.2580.1.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,meet(complement(meet(X1,X2)),join(X2,meet(X1,X3)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2580.0.0']),
% 289.49/289.99 [weight('<12,2578,7,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.2580.2.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(meet(X1,X2)),join(X2,meet(X1,X3)))) = join(X1,meet(X2,complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2580.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2572]).
% 289.49/289.99 cnf('0.2584.0.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,meet(complement(meet(X1,X2)),join(meet(X1,X3),X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2580.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.2584.1.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,meet(complement(meet(X1,X2)),join(meet(X1,X3),X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2584.0.0']),
% 289.49/289.99 [weight('<12,2580,11,[1,0,0,7]>')]).
% 289.49/289.99 cnf('0.2584.2.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(meet(X1,X2)),join(meet(X1,X3),X2))) = join(X1,meet(X2,complement(meet(X2,X1)))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2584.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2576]).
% 289.49/289.99 cnf('0.2743.0.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X2,X1),X3)),join(X2,join(X1,X4))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.362.2.0','0.340.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.2743.1.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X2,X1),X3)),join(X2,join(X1,X4))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2743.0.0']),
% 289.49/289.99 [weight('<13,362,340,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.2743.2.0',plain,
% 289.49/289.99 ( meet(join(X1,meet(join(X2,X1),X3)),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2743.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2735]).
% 289.49/289.99 cnf('0.2776.0.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(meet(X2,X1),X3)),meet(X2,meet(X1,X4))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.367.2.0','0.337.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.2776.1.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(meet(X2,X1),X3)),meet(X2,meet(X1,X4))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2776.0.0']),
% 289.49/289.99 [weight('<13,367,337,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.2776.2.0',plain,
% 289.49/289.99 ( join(meet(X1,join(meet(X2,X1),X3)),meet(X2,meet(X1,X4))) = meet(X1,join(meet(X2,X1),X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2776.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2768]).
% 289.49/289.99 cnf('0.2777.0.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X3,X1))),meet(X3,meet(X1,X4))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.367.2.0','0.345.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.2777.1.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X3,X1))),meet(X3,meet(X1,X4))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2777.0.0']),
% 289.49/289.99 [weight('<13,367,345,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.2777.2.0',plain,
% 289.49/289.99 ( join(meet(X1,join(X2,meet(X3,X1))),meet(X3,meet(X1,X4))) = meet(X1,join(X2,meet(X3,X1))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2777.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2769]).
% 289.49/289.99 cnf('0.2917.0.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,meet(X2,join(X4,meet(X1,join(meet(X1,X2),X3))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.390.2.0','0.337.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.2917.0.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,meet(X2,join(X4,meet(X1,join(meet(X1,X2),X3))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.2917.0.0','0.98.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.2917.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,meet(X2,join(X4,meet(X1,join(meet(X1,X2),X3))))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.2917.0.1']),
% 289.49/289.99 [weight('<13,390,337,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.2917.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,join(X3,meet(X1,join(meet(X1,X2),X4))))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.2917.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_2909]).
% 289.49/289.99 cnf('0.4743.0.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2743.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1.2.1','L')]).
% 289.49/289.99 cnf('0.4743.1.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.4743.0.0']),
% 289.49/289.99 [weight('<13,2743,11,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.4743.2.0',plain,
% 289.49/289.99 ( meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.4743.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_4731]).
% 289.49/289.99 cnf('0.4745.0.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(meet(X1,X2),X3)),meet(X2,meet(X1,X4))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2776.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1.2.1','L')]).
% 289.49/289.99 cnf('0.4745.1.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,join(meet(X1,X2),X3)),meet(X2,meet(X1,X4))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.4745.0.0']),
% 289.49/289.99 [weight('<13,2776,7,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.4745.2.0',plain,
% 289.49/289.99 ( join(meet(X1,join(meet(X1,X2),X3)),meet(X2,meet(X1,X4))) = meet(X1,join(meet(X2,X1),X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.4745.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_4733]).
% 289.49/289.99 cnf('0.4746.0.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X3,meet(X1,X4))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2777.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1.2.2','L')]).
% 289.49/289.99 cnf('0.4746.1.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X3,meet(X1,X4))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.4746.0.0']),
% 289.49/289.99 [weight('<13,2777,7,[1,0,0,5]>')]).
% 289.49/289.99 cnf('0.4746.2.0',plain,
% 289.49/289.99 ( join(meet(X1,join(X2,meet(X1,X3))),meet(X3,meet(X1,X4))) = meet(X1,join(X2,meet(X3,X1))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.4746.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_4734]).
% 289.49/289.99 cnf('0.4785.0.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(join(meet(X1,X3),meet(X1,join(meet(X1,X2),X4))),X2) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2917.2.0','0.587.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.4785.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(join(meet(X1,X3),meet(X1,join(meet(X1,X2),X4))),X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.4785.0.0']),
% 289.49/289.99 [weight('<13,2917,587,[1,0,0,0]>')]).
% 289.49/289.99 cnf('0.4785.1.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X2,join(meet(X1,X3),meet(X1,join(meet(X1,X2),X4)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.4785.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.4785.2.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X2,X3),meet(X2,join(meet(X2,X1),X4)))) = meet(X2,X1) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.4785.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_4773]).
% 289.49/289.99 cnf('0.4853.0.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(join(X1,X2),X4),meet(join(X1,X2),one))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.4785.2.0','0.1364.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2.2','L')]).
% 289.49/289.99 cnf('0.4853.0.1',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(join(X1,X2),X4),join(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.4853.0.0','0.15.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2.2','L')]).
% 289.49/289.99 cnf('0.4853.1.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(join(X1,X2),X4),join(X1,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.4853.0.1']),
% 289.49/289.99 [weight('<13,4785,1364,[1,0,0,8]>')]).
% 289.49/289.99 cnf('0.4853.1.1',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(X2,join(X1,meet(join(X1,X2),X4)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.4853.1.0','0.195.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.4853.1.2',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(X2,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.4853.1.1','0.157.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.4853.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(X2,X1)) ),
% 289.49/289.99 inference(activate,[status(thm)],['0.4853.1.2']),
% 289.49/289.99 [equation_18]).
% 289.49/289.99 cnf('0.4906.0.0',plain,
% 289.49/289.99 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X1,X2),zero,complement(X2),X1),X1) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.6.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.3.1','L')]).
% 289.49/289.99 cnf('0.4906.1.0',plain,
% 289.49/289.99 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X1,X2),zero,complement(X2),X1),X1) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.4906.0.0']),
% 289.49/289.99 [weight('<14,7,6,[0,0,0,6]>')]).
% 289.49/289.99 cnf('0.4906.2.0',plain,
% 289.49/289.99 ( ifeq(join(X1,X2),one,ifeq(meet(X2,X1),zero,complement(X1),X2),X2) = X2 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.4906.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_4878]).
% 289.49/289.99 cnf('0.4907.0.0',plain,
% 289.49/289.99 ( X1 = ifeq(join(complement(X1),X1),one,ifeq(zero,zero,complement(complement(X1)),X1),X1) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.4906.2.0','0.10.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.3.1','L')]).
% 289.49/289.99 cnf('0.4907.0.1',plain,
% 289.49/289.99 ( X1 = ifeq(join(complement(X1),X1),one,complement(complement(X1)),X1) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.4907.0.0','0.5.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.3','L')]).
% 289.49/289.99 cnf('0.4907.1.0',plain,
% 289.49/289.99 ( X1 = ifeq(join(complement(X1),X1),one,complement(complement(X1)),X1) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.4907.0.1']),
% 289.49/289.99 [weight('<10,4906,10,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.4907.1.1',plain,
% 289.49/289.99 ( X1 = ifeq(join(X1,complement(X1)),one,complement(complement(X1)),X1) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.4907.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.1','L')]).
% 289.49/289.99 cnf('0.4907.1.2',plain,
% 289.49/289.99 ( X1 = ifeq(one,one,complement(complement(X1)),X1) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.4907.1.1','0.13.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.1','L')]).
% 289.49/289.99 cnf('0.4907.1.3',plain,
% 289.49/289.99 ( X1 = complement(complement(X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.4907.1.2','0.5.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.4907.2.0',plain,
% 289.49/289.99 ( complement(complement(X1)) = X1 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.4907.1.3',theory(equality)]),
% 289.49/289.99 [x,rule_4879]).
% 289.49/289.99 cnf('0.7770.0.0',plain,
% 289.49/289.99 ( join(X1,meet(join(complement(X1),X2),complement(meet(join(complement(X1),X2),X1)))) = join(X1,meet(one,complement(meet(X1,join(complement(X1),X2))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2567.2.0','0.33.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.7770.0.1',plain,
% 289.49/289.99 ( join(X1,meet(join(complement(X1),X2),complement(meet(join(complement(X1),X2),X1)))) = join(X1,complement(meet(X1,join(complement(X1),X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7770.0.0','0.18.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.7770.0.2',plain,
% 289.49/289.99 ( join(X1,meet(join(complement(X1),X2),complement(meet(join(complement(X1),X2),X1)))) = one ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7770.0.1','0.43.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.7770.1.0',plain,
% 289.49/289.99 ( join(X1,meet(join(complement(X1),X2),complement(meet(join(complement(X1),X2),X1)))) = one ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7770.0.2']),
% 289.49/289.99 [weight('<14,2567,33,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.7770.1.1',plain,
% 289.49/289.99 ( join(X1,meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))) = one ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7770.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2.1','L')]).
% 289.49/289.99 cnf('0.7770.2.0',plain,
% 289.49/289.99 ( join(X1,meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))) = one ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7770.1.1',theory(equality)]),
% 289.49/289.99 [u,rule_7742]).
% 289.49/289.99 cnf('0.7771.0.0',plain,
% 289.49/289.99 ( meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2)))) = ifeq(one,one,ifeq(meet(X1,meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))),zero,complement(X1),meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))),meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.6.2.0','0.7770.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.7771.0.1',plain,
% 289.49/289.99 ( meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2)))) = ifeq(meet(X1,meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))),zero,complement(X1),meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7771.0.0','0.5.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.7771.0.2',plain,
% 289.49/289.99 ( meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2)))) = ifeq(zero,zero,complement(X1),meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7771.0.1','0.64.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.1','L')]).
% 289.49/289.99 cnf('0.7771.0.3',plain,
% 289.49/289.99 ( meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2)))) = complement(X1) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7771.0.2','0.5.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.7771.1.0',plain,
% 289.49/289.99 ( meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2)))) = complement(X1) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7771.0.3']),
% 289.49/289.99 [weight('<12,7770,6,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.7771.2.0',plain,
% 289.49/289.99 ( meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2)))) = complement(X1) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7771.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_7743]).
% 289.49/289.99 cnf('0.7772.0.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(X2,join(complement(X2),X1)))) = meet(X1,complement(X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.50.2.0','0.7771.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.7772.1.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(X2,join(complement(X2),X1)))) = meet(X1,complement(X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7772.0.0']),
% 289.49/289.99 [weight('<9,7771,50,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.7772.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(X2,join(complement(X2),X1)))) = meet(X1,complement(X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7772.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_7744]).
% 289.49/289.99 cnf('0.7773.0.0',plain,
% 289.49/289.99 ( meet(X1,complement(X2)) = meet(X1,complement(meet(X2,join(X1,complement(X2))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7772.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2','L')]).
% 289.49/289.99 cnf('0.7773.1.0',plain,
% 289.49/289.99 ( meet(X1,complement(X2)) = meet(X1,complement(meet(X2,join(X1,complement(X2))))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7773.0.0']),
% 289.49/289.99 [weight('<9,7772,11,[1,0,0,5]>')]).
% 289.49/289.99 cnf('0.7773.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(X2,join(X1,complement(X2))))) = meet(X1,complement(X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7773.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7745]).
% 289.49/289.99 cnf('0.7774.0.0',plain,
% 289.49/289.99 ( meet(X1,complement(complement(X2))) = meet(X1,complement(meet(complement(X2),join(X2,X1)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7772.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2.1','L')]).
% 289.49/289.99 cnf('0.7774.0.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,complement(meet(complement(X2),join(X2,X1)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7774.0.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.7774.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,complement(meet(complement(X2),join(X2,X1)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7774.0.1']),
% 289.49/289.99 [weight('<9,7772,4907,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.7774.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(complement(X2),join(X2,X1)))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7774.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7746]).
% 289.49/289.99 cnf('0.7775.0.0',plain,
% 289.49/289.99 ( meet(X1,complement(complement(X2))) = meet(X1,complement(meet(complement(X2),join(X1,X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7773.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2.2','L')]).
% 289.49/289.99 cnf('0.7775.0.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,complement(meet(complement(X2),join(X1,X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7775.0.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.7775.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,complement(meet(complement(X2),join(X1,X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7775.0.1']),
% 289.49/289.99 [weight('<9,7773,4907,[1,0,0,7]>')]).
% 289.49/289.99 cnf('0.7775.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(complement(X2),join(X1,X2)))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7775.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7747]).
% 289.49/289.99 cnf('0.7776.0.0',plain,
% 289.49/289.99 ( meet(X1,meet(X1,X2)) = meet(X1,complement(meet(complement(meet(X1,X2)),X1))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7775.2.0','0.4.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2','L')]).
% 289.49/289.99 cnf('0.7776.0.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,complement(meet(complement(meet(X1,X2)),X1))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7776.0.0','0.25.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.7776.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,complement(meet(complement(meet(X1,X2)),X1))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7776.0.1']),
% 289.49/289.99 [weight('<9,7775,4,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.7776.1.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,complement(meet(X1,complement(meet(X1,X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7776.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2.1','L')]).
% 289.49/289.99 cnf('0.7776.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(X1,complement(meet(X1,X2))))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7776.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_7748]).
% 289.49/289.99 cnf('0.7777.0.0',plain,
% 289.49/289.99 ( meet(X1,meet(X2,X1)) = meet(X1,complement(meet(complement(meet(X2,X1)),X1))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7775.2.0','0.24.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2','L')]).
% 289.49/289.99 cnf('0.7777.0.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,complement(meet(complement(meet(X2,X1)),X1))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7777.0.0','0.31.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.7777.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,complement(meet(complement(meet(X2,X1)),X1))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7777.0.1']),
% 289.49/289.99 [weight('<9,7775,24,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.7777.1.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,complement(meet(X1,complement(meet(X2,X1))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7777.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2.1','L')]).
% 289.49/289.99 cnf('0.7777.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(X1,complement(meet(X2,X1))))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7777.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_7749]).
% 289.49/289.99 cnf('0.7778.0.0',plain,
% 289.49/289.99 ( complement(meet(X1,join(complement(X1),X2))) = join(complement(meet(X1,join(complement(X1),X2))),complement(X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.24.2.0','0.7771.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.7778.1.0',plain,
% 289.49/289.99 ( complement(meet(X1,join(complement(X1),X2))) = join(complement(meet(X1,join(complement(X1),X2))),complement(X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7778.0.0']),
% 289.49/289.99 [weight('<10,7771,24,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.7778.1.1',plain,
% 289.49/289.99 ( complement(meet(X1,join(complement(X1),X2))) = join(complement(X1),complement(meet(X1,join(complement(X1),X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7778.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.7778.2.0',plain,
% 289.49/289.99 ( join(complement(X1),complement(meet(X1,join(complement(X1),X2)))) = complement(meet(X1,join(complement(X1),X2))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7778.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_7750]).
% 289.49/289.99 cnf('0.7779.0.0',plain,
% 289.49/289.99 ( complement(meet(complement(X1),join(complement(complement(X1)),X2))) = join(X1,complement(meet(complement(X1),join(complement(complement(X1)),X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7778.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.7779.0.1',plain,
% 289.49/289.99 ( complement(meet(complement(X1),join(X1,X2))) = join(X1,complement(meet(complement(X1),join(complement(complement(X1)),X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7779.0.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1.2.1','L')]).
% 289.49/289.99 cnf('0.7779.0.2',plain,
% 289.49/289.99 ( complement(meet(complement(X1),join(X1,X2))) = join(X1,complement(meet(complement(X1),join(X1,X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7779.0.1','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2.1.2.1','L')]).
% 289.49/289.99 cnf('0.7779.1.0',plain,
% 289.49/289.99 ( complement(meet(complement(X1),join(X1,X2))) = join(X1,complement(meet(complement(X1),join(X1,X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7779.0.2']),
% 289.49/289.99 [weight('<9,7778,4907,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.7779.2.0',plain,
% 289.49/289.99 ( join(X1,complement(meet(complement(X1),join(X1,X2)))) = complement(meet(complement(X1),join(X1,X2))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7779.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7751]).
% 289.49/289.99 cnf('0.7780.0.0',plain,
% 289.49/289.99 ( X1 = meet(X1,complement(meet(complement(X1),join(X1,X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2.2.0','0.7779.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.7780.1.0',plain,
% 289.49/289.99 ( X1 = meet(X1,complement(meet(complement(X1),join(X1,X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7780.0.0']),
% 289.49/289.99 [weight('<9,7779,2,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.7780.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(complement(X1),join(X1,X2)))) = X1 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7780.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7752]).
% 289.49/289.99 cnf('0.7781.0.0',plain,
% 289.49/289.99 ( complement(meet(complement(X1),join(X1,X2))) = join(X1,complement(meet(complement(X1),join(X2,X1)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7779.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2','L')]).
% 289.49/289.99 cnf('0.7781.1.0',plain,
% 289.49/289.99 ( complement(meet(complement(X1),join(X1,X2))) = join(X1,complement(meet(complement(X1),join(X2,X1)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7781.0.0']),
% 289.49/289.99 [weight('<9,7779,11,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.7781.2.0',plain,
% 289.49/289.99 ( join(X1,complement(meet(complement(X1),join(X2,X1)))) = complement(meet(complement(X1),join(X1,X2))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7781.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7753]).
% 289.49/289.99 cnf('0.7782.0.0',plain,
% 289.49/289.99 ( X1 = meet(X1,complement(meet(complement(X1),join(X2,X1)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7780.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2','L')]).
% 289.49/289.99 cnf('0.7782.1.0',plain,
% 289.49/289.99 ( X1 = meet(X1,complement(meet(complement(X1),join(X2,X1)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7782.0.0']),
% 289.49/289.99 [weight('<9,7780,11,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.7782.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(complement(X1),join(X2,X1)))) = X1 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7782.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7754]).
% 289.49/289.99 cnf('0.7783.0.0',plain,
% 289.49/289.99 ( one = join(X1,complement(meet(complement(X2),join(X2,X1)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.228.2.0','0.7781.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.7783.1.0',plain,
% 289.49/289.99 ( one = join(X1,complement(meet(complement(X2),join(X2,X1)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7783.0.0']),
% 289.49/289.99 [weight('<9,7781,228,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.7783.2.0',plain,
% 289.49/289.99 ( join(X1,complement(meet(complement(X2),join(X2,X1)))) = one ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7783.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7755]).
% 289.49/289.99 cnf('0.7789.0.0',plain,
% 289.49/289.99 ( complement(X1) = meet(complement(X1),complement(meet(X1,join(X2,complement(X1))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7782.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.1','L')]).
% 289.49/289.99 cnf('0.7789.1.0',plain,
% 289.49/289.99 ( complement(X1) = meet(complement(X1),complement(meet(X1,join(X2,complement(X1))))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7789.0.0']),
% 289.49/289.99 [weight('<10,7782,4907,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.7789.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(meet(X1,join(X2,complement(X1))))) = complement(X1) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7789.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7761]).
% 289.49/289.99 cnf('0.7799.0.0',plain,
% 289.49/289.99 ( meet(X1,meet(complement(meet(complement(X2),join(X2,X1))),X3)) = meet(meet(X1,X2),X3) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8.2.0','0.7774.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.7799.0.1',plain,
% 289.49/289.99 ( meet(X1,meet(complement(meet(complement(X2),join(X2,X1))),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7799.0.0','0.8.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.7799.1.0',plain,
% 289.49/289.99 ( meet(X1,meet(complement(meet(complement(X2),join(X2,X1))),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7799.0.1']),
% 289.49/289.99 [weight('<11,7774,8,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.7799.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(complement(meet(complement(X2),join(X2,X1))),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7799.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_7771]).
% 289.49/289.99 cnf('0.7817.0.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),X2) = meet(join(X1,X2),complement(meet(join(X1,X2),complement(X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7777.2.0','0.26.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2.1','L')]).
% 289.49/289.99 cnf('0.7817.1.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),X2) = meet(join(X1,X2),complement(meet(join(X1,X2),complement(X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7817.0.0']),
% 289.49/289.99 [weight('<11,7777,26,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.7817.1.1',plain,
% 289.49/289.99 ( meet(X2,join(X1,X2)) = meet(join(X1,X2),complement(meet(join(X1,X2),complement(X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7817.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.7817.1.2',plain,
% 289.49/289.99 ( X2 = meet(join(X1,X2),complement(meet(join(X1,X2),complement(X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7817.1.1','0.26.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.7817.1.3',plain,
% 289.49/289.99 ( X2 = meet(join(X1,X2),complement(meet(complement(X2),join(X1,X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7817.1.2','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2.1','L')]).
% 289.49/289.99 cnf('0.7817.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),complement(meet(complement(X2),join(X1,X2)))) = X2 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7817.1.3',theory(equality)]),
% 289.49/289.99 [x,rule_7789]).
% 289.49/289.99 cnf('0.7885.0.0',plain,
% 289.49/289.99 ( complement(X1) = meet(join(complement(X1),X2),complement(meet(X1,join(X2,complement(X1))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7771.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2','L')]).
% 289.49/289.99 cnf('0.7885.1.0',plain,
% 289.49/289.99 ( complement(X1) = meet(join(complement(X1),X2),complement(meet(X1,join(X2,complement(X1))))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7885.0.0']),
% 289.49/289.99 [weight('<12,7771,11,[1,0,0,8]>')]).
% 289.49/289.99 cnf('0.7885.2.0',plain,
% 289.49/289.99 ( meet(join(complement(X1),X2),complement(meet(X1,join(X2,complement(X1))))) = complement(X1) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7885.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7857]).
% 289.49/289.99 cnf('0.7999.0.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = meet(X1,complement(meet(X1,complement(join(meet(X1,X2),meet(X1,X3)))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7776.2.0','0.170.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2.1','L')]).
% 289.49/289.99 cnf('0.7999.0.1',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,complement(meet(X1,complement(join(meet(X1,X2),meet(X1,X3)))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.7999.0.0','0.170.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.7999.1.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,complement(meet(X1,complement(join(meet(X1,X2),meet(X1,X3)))))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.7999.0.1']),
% 289.49/289.99 [weight('<13,7776,170,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.7999.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(X1,complement(join(meet(X1,X2),meet(X1,X3)))))) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.7999.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_7971]).
% 289.49/289.99 cnf('0.8248.0.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(complement(X2),join(X1,X2)))) = meet(X1,join(X2,meet(X3,complement(meet(complement(X2),join(X1,X2)))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.707.2.0','0.7817.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8248.0.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(X2,meet(X3,complement(meet(complement(X2),join(X1,X2)))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8248.0.0','0.7775.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.8248.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(X2,meet(X3,complement(meet(complement(X2),join(X1,X2)))))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8248.0.1']),
% 289.49/289.99 [weight('<13,7817,707,[0,0,0,3]>')]).
% 289.49/289.99 cnf('0.8248.2.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,meet(X3,complement(meet(complement(X2),join(X1,X2)))))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8248.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8220]).
% 289.49/289.99 cnf('0.8631.0.0',plain,
% 289.49/289.99 ( join(X1,join(X2,meet(complement(meet(X1,X3)),join(meet(X1,X4),X3)))) = join(X1,join(X2,join(X1,meet(X3,complement(meet(X3,X1)))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.52.2.0','0.2584.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.8631.0.1',plain,
% 289.49/289.99 ( join(X1,join(X2,meet(complement(meet(X1,X3)),join(meet(X1,X4),X3)))) = join(X1,join(X2,meet(X3,complement(meet(X3,X1))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8631.0.0','0.52.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8631.1.0',plain,
% 289.49/289.99 ( join(X1,join(X2,meet(complement(meet(X1,X3)),join(meet(X1,X4),X3)))) = join(X1,join(X2,meet(X3,complement(meet(X3,X1))))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8631.0.1']),
% 289.49/289.99 [weight('<14,2584,52,[0,0,0,4]>')]).
% 289.49/289.99 cnf('0.8631.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,meet(complement(meet(X1,X3)),join(meet(X1,X4),X3)))) = join(X1,join(X2,meet(X3,complement(meet(X3,X1))))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8631.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_8601]).
% 289.49/289.99 cnf('0.8731.0.0',plain,
% 289.49/289.99 ( X1 = ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X2),X1),X1) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.4906.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8731.1.0',plain,
% 289.49/289.99 ( X1 = ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X2),X1),X1) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8731.0.0']),
% 289.49/289.99 [weight('<14,4906,11,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.8731.2.0',plain,
% 289.49/289.99 ( ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X2),X1),X1) = X1 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8731.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8699]).
% 289.49/289.99 cnf('0.8732.0.0',plain,
% 289.49/289.99 ( X1 = ifeq(join(X1,complement(meet(complement(X2),join(X2,X1)))),one,ifeq(meet(X1,X2),zero,complement(complement(meet(complement(X2),join(X2,X1)))),X1),X1) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8731.2.0','0.7774.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.3.1','L')]).
% 289.49/289.99 cnf('0.8732.0.1',plain,
% 289.49/289.99 ( X1 = ifeq(one,one,ifeq(meet(X1,X2),zero,complement(complement(meet(complement(X2),join(X2,X1)))),X1),X1) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8732.0.0','0.7783.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.1','L')]).
% 289.49/289.99 cnf('0.8732.0.2',plain,
% 289.49/289.99 ( X1 = ifeq(meet(X1,X2),zero,complement(complement(meet(complement(X2),join(X2,X1)))),X1) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8732.0.1','0.5.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8732.0.3',plain,
% 289.49/289.99 ( X1 = ifeq(meet(X1,X2),zero,meet(complement(X2),join(X2,X1)),X1) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8732.0.2','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.3','L')]).
% 289.49/289.99 cnf('0.8732.1.0',plain,
% 289.49/289.99 ( X1 = ifeq(meet(X1,X2),zero,meet(complement(X2),join(X2,X1)),X1) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8732.0.3']),
% 289.49/289.99 [weight('<12,8731,7774,[1,0,0,6]>')]).
% 289.49/289.99 cnf('0.8732.2.0',plain,
% 289.49/289.99 ( ifeq(meet(X1,X2),zero,meet(complement(X2),join(X2,X1)),X1) = X1 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8732.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8700]).
% 289.49/289.99 cnf('0.8733.0.0',plain,
% 289.49/289.99 ( X1 = ifeq(zero,zero,meet(complement(complement(join(X1,X2))),join(complement(join(X1,X2)),X1)),X1) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8732.2.0','0.40.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8733.0.1',plain,
% 289.49/289.99 ( X1 = meet(complement(complement(join(X1,X2))),join(complement(join(X1,X2)),X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8733.0.0','0.5.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8733.0.2',plain,
% 289.49/289.99 ( X1 = meet(join(X1,X2),join(complement(join(X1,X2)),X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8733.0.1','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.1','L')]).
% 289.49/289.99 cnf('0.8733.1.0',plain,
% 289.49/289.99 ( X1 = meet(join(X1,X2),join(complement(join(X1,X2)),X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8733.0.2']),
% 289.49/289.99 [weight('<10,8732,40,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.8733.1.1',plain,
% 289.49/289.99 ( X1 = meet(join(X1,X2),join(X1,complement(join(X1,X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8733.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.8733.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = X1 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8733.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_8701]).
% 289.49/289.99 cnf('0.8734.0.0',plain,
% 289.49/289.99 ( complement(join(X1,X2)) = meet(complement(join(X1,X2)),complement(X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7789.2.0','0.8733.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8734.1.0',plain,
% 289.49/289.99 ( complement(join(X1,X2)) = meet(complement(join(X1,X2)),complement(X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8734.0.0']),
% 289.49/289.99 [weight('<7,8733,7789,[0,0,0,4]>')]).
% 289.49/289.99 cnf('0.8734.1.1',plain,
% 289.49/289.99 ( complement(join(X1,X2)) = meet(complement(X1),complement(join(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8734.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8734.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(join(X1,X2))) = complement(join(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8734.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_8702]).
% 289.49/289.99 cnf('0.8735.0.0',plain,
% 289.49/289.99 ( complement(X1) = join(complement(X1),complement(join(X1,X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.4.2.0','0.8734.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.8735.1.0',plain,
% 289.49/289.99 ( complement(X1) = join(complement(X1),complement(join(X1,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8735.0.0']),
% 289.49/289.99 [weight('<7,8734,4,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.8735.2.0',plain,
% 289.49/289.99 ( join(complement(X1),complement(join(X1,X2))) = complement(X1) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8735.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8703]).
% 289.49/289.99 cnf('0.8736.0.0',plain,
% 289.49/289.99 ( complement(join(X1,X2)) = meet(complement(X1),complement(join(X2,X1))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8734.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8736.1.0',plain,
% 289.49/289.99 ( complement(join(X1,X2)) = meet(complement(X1),complement(join(X2,X1))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8736.0.0']),
% 289.49/289.99 [weight('<7,8734,11,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.8736.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(join(X2,X1))) = complement(join(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8736.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8704]).
% 289.49/289.99 cnf('0.8737.0.0',plain,
% 289.49/289.99 ( complement(join(complement(X1),X2)) = meet(X1,complement(join(complement(X1),X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8734.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8737.1.0',plain,
% 289.49/289.99 ( complement(join(complement(X1),X2)) = meet(X1,complement(join(complement(X1),X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8737.0.0']),
% 289.49/289.99 [weight('<7,8734,4907,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.8737.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(join(complement(X1),X2))) = complement(join(complement(X1),X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8737.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8705]).
% 289.49/289.99 cnf('0.8738.0.0',plain,
% 289.49/289.99 ( complement(X1) = join(complement(X1),complement(join(X2,X1))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8735.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8738.1.0',plain,
% 289.49/289.99 ( complement(X1) = join(complement(X1),complement(join(X2,X1))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8738.0.0']),
% 289.49/289.99 [weight('<7,8735,11,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.8738.2.0',plain,
% 289.49/289.99 ( join(complement(X1),complement(join(X2,X1))) = complement(X1) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8738.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8706]).
% 289.49/289.99 cnf('0.8740.0.0',plain,
% 289.49/289.99 ( complement(join(meet(X1,X2),X1)) = meet(complement(meet(X1,X2)),complement(X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8736.2.0','0.4.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8740.1.0',plain,
% 289.49/289.99 ( complement(join(meet(X1,X2),X1)) = meet(complement(meet(X1,X2)),complement(X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8740.0.0']),
% 289.49/289.99 [weight('<7,8736,4,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.8740.1.1',plain,
% 289.49/289.99 ( complement(join(X1,meet(X1,X2))) = meet(complement(meet(X1,X2)),complement(X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8740.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8740.1.2',plain,
% 289.49/289.99 ( complement(X1) = meet(complement(meet(X1,X2)),complement(X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8740.1.1','0.4.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8740.1.3',plain,
% 289.49/289.99 ( complement(X1) = meet(complement(X1),complement(meet(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8740.1.2','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8740.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(meet(X1,X2))) = complement(X1) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8740.1.3',theory(equality)]),
% 289.49/289.99 [x,rule_8708]).
% 289.49/289.99 cnf('0.8741.0.0',plain,
% 289.49/289.99 ( complement(join(meet(X1,X2),X2)) = meet(complement(meet(X1,X2)),complement(X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8736.2.0','0.24.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8741.1.0',plain,
% 289.49/289.99 ( complement(join(meet(X1,X2),X2)) = meet(complement(meet(X1,X2)),complement(X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8741.0.0']),
% 289.49/289.99 [weight('<7,8736,24,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.8741.1.1',plain,
% 289.49/289.99 ( complement(join(X2,meet(X1,X2))) = meet(complement(meet(X1,X2)),complement(X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8741.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8741.1.2',plain,
% 289.49/289.99 ( complement(X2) = meet(complement(meet(X1,X2)),complement(X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8741.1.1','0.24.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8741.1.3',plain,
% 289.49/289.99 ( complement(X2) = meet(complement(X2),complement(meet(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8741.1.2','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8741.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(meet(X2,X1))) = complement(X1) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8741.1.3',theory(equality)]),
% 289.49/289.99 [x,rule_8709]).
% 289.49/289.99 cnf('0.8744.0.0',plain,
% 289.49/289.99 ( complement(meet(X1,X2)) = join(complement(meet(X1,X2)),complement(X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8738.2.0','0.24.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8744.1.0',plain,
% 289.49/289.99 ( complement(meet(X1,X2)) = join(complement(meet(X1,X2)),complement(X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8744.0.0']),
% 289.49/289.99 [weight('<7,8738,24,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.8744.1.1',plain,
% 289.49/289.99 ( complement(meet(X1,X2)) = join(complement(X2),complement(meet(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8744.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8744.2.0',plain,
% 289.49/289.99 ( join(complement(X1),complement(meet(X2,X1))) = complement(meet(X2,X1)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8744.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_8712]).
% 289.49/289.99 cnf('0.8746.0.0',plain,
% 289.49/289.99 ( complement(complement(X1)) = meet(X1,complement(meet(complement(X1),X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8740.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8746.0.1',plain,
% 289.49/289.99 ( X1 = meet(X1,complement(meet(complement(X1),X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8746.0.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.8746.1.0',plain,
% 289.49/289.99 ( X1 = meet(X1,complement(meet(complement(X1),X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8746.0.1']),
% 289.49/289.99 [weight('<7,8740,4907,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.8746.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(complement(X1),X2))) = X1 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8746.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8714]).
% 289.49/289.99 cnf('0.8749.0.0',plain,
% 289.49/289.99 ( complement(meet(X1,complement(X2))) = join(X2,complement(meet(X1,complement(X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8744.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8749.1.0',plain,
% 289.49/289.99 ( complement(meet(X1,complement(X2))) = join(X2,complement(meet(X1,complement(X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8749.0.0']),
% 289.49/289.99 [weight('<7,8744,4907,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.8749.2.0',plain,
% 289.49/289.99 ( join(X1,complement(meet(X2,complement(X1)))) = complement(meet(X2,complement(X1))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8749.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8717]).
% 289.49/289.99 cnf('0.8751.0.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(X2,complement(join(X1,X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8248.2.0','0.8741.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.8751.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(X2,complement(join(X1,X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8751.0.0']),
% 289.49/289.99 [weight('<8,8741,8248,[0,0,0,4]>')]).
% 289.49/289.99 cnf('0.8751.2.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,complement(join(X1,X2)))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8751.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8719]).
% 289.49/289.99 cnf('0.8752.0.0',plain,
% 289.49/289.99 ( meet(X1,meet(X1,X2)) = meet(X1,join(meet(X1,X2),complement(X1))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8751.2.0','0.4.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2.1','L')]).
% 289.49/289.99 cnf('0.8752.0.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),complement(X1))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8752.0.0','0.25.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.8752.1.0',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(meet(X1,X2),complement(X1))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8752.0.1']),
% 289.49/289.99 [weight('<8,8751,4,[1,0,0,5]>')]).
% 289.49/289.99 cnf('0.8752.1.1',plain,
% 289.49/289.99 ( meet(X1,X2) = meet(X1,join(complement(X1),meet(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8752.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.8752.2.0',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8752.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_8720]).
% 289.49/289.99 cnf('0.8754.0.0',plain,
% 289.49/289.99 ( complement(join(X1,X2)) = meet(join(complement(join(X1,X2)),X1),complement(X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7885.2.0','0.8733.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8754.1.0',plain,
% 289.49/289.99 ( complement(join(X1,X2)) = meet(join(complement(join(X1,X2)),X1),complement(X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8754.0.0']),
% 289.49/289.99 [weight('<9,8733,7885,[0,0,0,6]>')]).
% 289.49/289.99 cnf('0.8754.1.1',plain,
% 289.49/289.99 ( complement(join(X1,X2)) = meet(complement(X1),join(complement(join(X1,X2)),X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8754.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8754.1.2',plain,
% 289.49/289.99 ( complement(join(X1,X2)) = meet(complement(X1),join(X1,complement(join(X1,X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8754.1.1','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.8754.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(X1,complement(join(X1,X2)))) = complement(join(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8754.1.2',theory(equality)]),
% 289.49/289.99 [x,rule_8722]).
% 289.49/289.99 cnf('0.8786.0.0',plain,
% 289.49/289.99 ( meet(X1,complement(join(complement(X1),X2))) = meet(X1,complement(meet(X1,complement(complement(join(complement(X1),X2)))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.7776.2.0','0.8737.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2.1','L')]).
% 289.49/289.99 cnf('0.8786.0.1',plain,
% 289.49/289.99 ( complement(join(complement(X1),X2)) = meet(X1,complement(meet(X1,complement(complement(join(complement(X1),X2)))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8786.0.0','0.8737.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.8786.0.2',plain,
% 289.49/289.99 ( complement(join(complement(X1),X2)) = meet(X1,complement(meet(X1,join(complement(X1),X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8786.0.1','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2.1.2','L')]).
% 289.49/289.99 cnf('0.8786.1.0',plain,
% 289.49/289.99 ( complement(join(complement(X1),X2)) = meet(X1,complement(meet(X1,join(complement(X1),X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8786.0.2']),
% 289.49/289.99 [weight('<9,8737,7776,[0,0,0,6]>')]).
% 289.49/289.99 cnf('0.8786.2.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(X1,join(complement(X1),X2)))) = complement(join(complement(X1),X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8786.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8754]).
% 289.49/289.99 cnf('0.8787.0.0',plain,
% 289.49/289.99 ( complement(join(complement(X1),meet(X1,X2))) = meet(X1,complement(meet(X1,X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8786.2.0','0.8752.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8787.1.0',plain,
% 289.49/289.99 ( complement(join(complement(X1),meet(X1,X2))) = meet(X1,complement(meet(X1,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8787.0.0']),
% 289.49/289.99 [weight('<7,8786,8752,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.8787.2.0',plain,
% 289.49/289.99 ( complement(join(complement(X1),meet(X1,X2))) = meet(X1,complement(meet(X1,X2))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8787.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_8755]).
% 289.49/289.99 cnf('0.8789.0.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),complement(meet(join(X1,X2),join(X1,complement(join(X1,X2)))))) = complement(join(complement(join(X1,X2)),X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8787.2.0','0.189.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8789.0.1',plain,
% 289.49/289.99 ( meet(join(X1,X2),complement(X1)) = complement(join(complement(join(X1,X2)),X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8789.0.0','0.8733.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8789.1.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),complement(X1)) = complement(join(complement(join(X1,X2)),X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8789.0.1']),
% 289.49/289.99 [weight('<7,8787,189,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.8789.1.1',plain,
% 289.49/289.99 ( meet(complement(X1),join(X1,X2)) = complement(join(complement(join(X1,X2)),X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8789.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.8789.1.2',plain,
% 289.49/289.99 ( meet(complement(X1),join(X1,X2)) = complement(join(X1,complement(join(X1,X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8789.1.1','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.1','L')]).
% 289.49/289.99 cnf('0.8789.2.0',plain,
% 289.49/289.99 ( complement(join(X1,complement(join(X1,X2)))) = meet(complement(X1),join(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8789.1.2',theory(equality)]),
% 289.49/289.99 [x,rule_8757]).
% 289.49/289.99 cnf('0.8790.0.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,X2)) = complement(meet(X1,complement(meet(X1,X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.4907.2.0','0.8787.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8790.1.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,X2)) = complement(meet(X1,complement(meet(X1,X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8790.0.0']),
% 289.49/289.99 [weight('<7,8787,4907,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.8790.2.0',plain,
% 289.49/289.99 ( complement(meet(X1,complement(meet(X1,X2)))) = join(complement(X1),meet(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8790.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8758]).
% 289.49/289.99 cnf('0.8792.0.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X1,X2))) = complement(meet(complement(X1),join(X1,X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.4907.2.0','0.8789.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8792.1.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X1,X2))) = complement(meet(complement(X1),join(X1,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8792.0.0']),
% 289.49/289.99 [weight('<7,8789,4907,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.8792.2.0',plain,
% 289.49/289.99 ( complement(meet(complement(X1),join(X1,X2))) = join(X1,complement(join(X1,X2))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8792.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8760]).
% 289.49/289.99 cnf('0.8795.0.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(meet(complement(X1),X2))) = complement(join(X1,meet(complement(X1),X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8787.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1.1','L')]).
% 289.49/289.99 cnf('0.8795.1.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(meet(complement(X1),X2))) = complement(join(X1,meet(complement(X1),X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8795.0.0']),
% 289.49/289.99 [weight('<8,8787,4907,[1,0,0,2]>')]).
% 289.49/289.99 cnf('0.8795.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(meet(complement(X1),X2))) = complement(join(X1,meet(complement(X1),X2))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8795.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_8763]).
% 289.49/289.99 cnf('0.8799.0.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X1,complement(join(X1,X2))))) = complement(complement(join(X1,X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8792.2.0','0.8754.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8799.0.1',plain,
% 289.49/289.99 ( join(X1,meet(complement(X1),join(X1,X2))) = complement(complement(join(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8799.0.0','0.8789.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.8799.0.2',plain,
% 289.49/289.99 ( join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8799.0.1','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8799.1.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8799.0.2']),
% 289.49/289.99 [weight('<8,8792,8754,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.8799.2.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8799.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_8767]).
% 289.49/289.99 cnf('0.8800.0.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,meet(complement(X1),join(X2,X1))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8799.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.8800.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,meet(complement(X1),join(X2,X1))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8800.0.0']),
% 289.49/289.99 [weight('<8,8799,11,[1,0,0,5]>')]).
% 289.49/289.99 cnf('0.8800.2.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(X1),join(X2,X1))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8800.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8768]).
% 289.49/289.99 cnf('0.8801.0.0',plain,
% 289.49/289.99 ( join(X1,join(meet(X1,X2),meet(X2,complement(meet(X2,X1))))) = join(X1,join(meet(X1,X2),X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8631.2.0','0.8799.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.8801.0.1',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,join(meet(X1,X2),X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8801.0.0','0.47.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.8801.0.2',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8801.0.1','0.47.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8801.1.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8801.0.2']),
% 289.49/289.99 [weight('<8,8799,8631,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.8801.2.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8801.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_8769]).
% 289.49/289.99 cnf('0.8802.0.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,meet(X2,complement(meet(X1,X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8801.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2.1','L')]).
% 289.49/289.99 cnf('0.8802.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,meet(X2,complement(meet(X1,X2)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8802.0.0']),
% 289.49/289.99 [weight('<8,8801,7,[1,0,0,5]>')]).
% 289.49/289.99 cnf('0.8802.2.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,complement(meet(X1,X2)))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8802.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8770]).
% 289.49/289.99 cnf('0.8852.0.0',plain,
% 289.49/289.99 ( join(complement(meet(complement(X1),X2)),X3) = join(complement(meet(complement(X1),X2)),join(X1,X3)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.49.2.0','0.8746.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8852.1.0',plain,
% 289.49/289.99 ( join(complement(meet(complement(X1),X2)),X3) = join(complement(meet(complement(X1),X2)),join(X1,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8852.0.0']),
% 289.49/289.99 [weight('<9,8746,49,[0,0,0,3]>')]).
% 289.49/289.99 cnf('0.8852.1.1',plain,
% 289.49/289.99 ( join(complement(meet(complement(X1),X2)),X3) = join(X1,join(X3,complement(meet(complement(X1),X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8852.1.0','0.176.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','R')]).
% 289.49/289.99 cnf('0.8852.2.0',plain,
% 289.49/289.99 ( join(X1,join(X2,complement(meet(complement(X1),X3)))) = join(complement(meet(complement(X1),X3)),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8852.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_8820]).
% 289.49/289.99 cnf('0.8878.0.0',plain,
% 289.49/289.99 ( meet(complement(X1),X2) = meet(complement(X1),join(X1,meet(complement(X1),X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8752.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8878.1.0',plain,
% 289.49/289.99 ( meet(complement(X1),X2) = meet(complement(X1),join(X1,meet(complement(X1),X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8878.0.0']),
% 289.49/289.99 [weight('<9,8752,4907,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.8878.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(X1,meet(complement(X1),X2))) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8878.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8846]).
% 289.49/289.99 cnf('0.8911.0.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,join(complement(X1),X2))) = complement(complement(join(complement(X1),X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8790.2.0','0.8786.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.8911.0.1',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,join(complement(X1),X2))) = join(complement(X1),X2) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8911.0.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.8911.1.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,join(complement(X1),X2))) = join(complement(X1),X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8911.0.1']),
% 289.49/289.99 [weight('<9,8790,8786,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.8911.2.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,join(complement(X1),X2))) = join(complement(X1),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8911.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_8879]).
% 289.49/289.99 cnf('0.8918.0.0',plain,
% 289.49/289.99 ( join(complement(X1),X2) = join(complement(X1),meet(X1,join(X2,complement(X1)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8800.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8918.1.0',plain,
% 289.49/289.99 ( join(complement(X1),X2) = join(complement(X1),meet(X1,join(X2,complement(X1)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8918.0.0']),
% 289.49/289.99 [weight('<9,8800,4907,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.8918.2.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,join(X2,complement(X1)))) = join(complement(X1),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8918.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8886]).
% 289.49/289.99 cnf('0.8919.0.0',plain,
% 289.49/289.99 ( join(X1,complement(X2)) = join(X1,complement(join(X2,meet(complement(X2),X1)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8801.2.0','0.8795.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.8919.1.0',plain,
% 289.49/289.99 ( join(X1,complement(X2)) = join(X1,complement(join(X2,meet(complement(X2),X1)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8919.0.0']),
% 289.49/289.99 [weight('<9,8801,8795,[1,0,0,2]>')]).
% 289.49/289.99 cnf('0.8919.2.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X2,meet(complement(X2),X1)))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8919.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_8887]).
% 289.49/289.99 cnf('0.8943.0.0',plain,
% 289.49/289.99 ( meet(X1,meet(complement(meet(complement(X2),join(X2,X1))),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.7799.2.0'])).
% 289.49/289.99 cnf('0.8943.0.1',plain,
% 289.49/289.99 ( meet(X1,meet(join(X2,complement(join(X2,X1))),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.8943.0.0','0.8792.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.8943.1.0',plain,
% 289.49/289.99 ( meet(X1,meet(join(X2,complement(join(X2,X1))),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.8943.0.1']),
% 289.49/289.99 [weight('<10,7799,8792,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.8943.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(join(X2,complement(join(X2,X1))),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.8943.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_8911]).
% 289.49/289.99 cnf('0.9116.0.0',plain,
% 289.49/289.99 ( meet(X1,complement(X2)) = join(meet(X1,complement(X2)),meet(X1,complement(join(X2,X3)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.99.2.0','0.8734.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.9116.1.0',plain,
% 289.49/289.99 ( meet(X1,complement(X2)) = join(meet(X1,complement(X2)),meet(X1,complement(join(X2,X3)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9116.0.0']),
% 289.49/289.99 [weight('<11,8734,99,[0,0,0,6]>')]).
% 289.49/289.99 cnf('0.9116.2.0',plain,
% 289.49/289.99 ( join(meet(X1,complement(X2)),meet(X1,complement(join(X2,X3)))) = meet(X1,complement(X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9116.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_9083]).
% 289.49/289.99 cnf('0.9117.0.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(X2)) = join(meet(complement(X1),complement(X2)),complement(join(X1,X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9116.2.0','0.8736.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.9117.1.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(X2)) = join(meet(complement(X1),complement(X2)),complement(join(X1,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9117.0.0']),
% 289.49/289.99 [weight('<10,9116,8736,[1,0,0,5]>')]).
% 289.49/289.99 cnf('0.9117.1.1',plain,
% 289.49/289.99 ( meet(complement(X1),complement(X2)) = join(complement(join(X1,X2)),meet(complement(X1),complement(X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9117.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.9117.2.0',plain,
% 289.49/289.99 ( join(complement(join(X1,X2)),meet(complement(X1),complement(X2))) = meet(complement(X1),complement(X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9117.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_9084]).
% 289.49/289.99 cnf('0.9118.0.0',plain,
% 289.49/289.99 ( complement(complement(join(X1,X2))) = join(complement(complement(join(X1,X2))),complement(meet(complement(X1),complement(X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8735.2.0','0.9117.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.9118.0.1',plain,
% 289.49/289.99 ( join(X1,X2) = join(complement(complement(join(X1,X2))),complement(meet(complement(X1),complement(X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9118.0.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.9118.0.2',plain,
% 289.49/289.99 ( join(X1,X2) = join(join(X1,X2),complement(meet(complement(X1),complement(X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9118.0.1','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.1','L')]).
% 289.49/289.99 cnf('0.9118.0.3',plain,
% 289.49/289.99 ( join(X1,X2) = join(X1,join(X2,complement(meet(complement(X1),complement(X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9118.0.2','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.9118.0.4',plain,
% 289.49/289.99 ( join(X1,X2) = join(complement(meet(complement(X1),complement(X2))),X2) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9118.0.3','0.8852.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.9118.1.0',plain,
% 289.49/289.99 ( join(X1,X2) = join(complement(meet(complement(X1),complement(X2))),X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9118.0.4']),
% 289.49/289.99 [weight('<8,9117,8735,[0,0,0,4]>')]).
% 289.49/289.99 cnf('0.9118.1.1',plain,
% 289.49/289.99 ( join(X1,X2) = join(X2,complement(meet(complement(X1),complement(X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9118.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.9118.1.2',plain,
% 289.49/289.99 ( join(X1,X2) = complement(meet(complement(X1),complement(X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9118.1.1','0.8749.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.9118.2.0',plain,
% 289.49/289.99 ( complement(meet(complement(X1),complement(X2))) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9118.1.2',theory(equality)]),
% 289.49/289.99 [x,rule_9085]).
% 289.49/289.99 cnf('0.9119.0.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.4907.2.0','0.9118.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.9119.1.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9119.0.0']),
% 289.49/289.99 [weight('<5,9118,4907,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.9119.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9119.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_9086]).
% 289.49/289.99 cnf('0.9120.0.0',plain,
% 289.49/289.99 ( complement(join(complement(X1),X2)) = meet(X1,complement(X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9119.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.9120.1.0',plain,
% 289.49/289.99 ( complement(join(complement(X1),X2)) = meet(X1,complement(X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9120.0.0']),
% 289.49/289.99 [weight('<5,9119,4907,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.9120.2.0',plain,
% 289.49/289.99 ( complement(join(complement(X1),X2)) = meet(X1,complement(X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9120.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_9087]).
% 289.49/289.99 cnf('0.9121.0.0',plain,
% 289.49/289.99 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9119.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.9121.1.0',plain,
% 289.49/289.99 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9121.0.0']),
% 289.49/289.99 [weight('<5,9119,4907,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.9121.2.0',plain,
% 289.49/289.99 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9121.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_9088]).
% 289.49/289.99 cnf('0.9122.0.0',plain,
% 289.49/289.99 ( join(complement(X1),X2) = complement(meet(X1,complement(X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.4907.2.0','0.9120.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.9122.1.0',plain,
% 289.49/289.99 ( join(complement(X1),X2) = complement(meet(X1,complement(X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9122.0.0']),
% 289.49/289.99 [weight('<5,9120,4907,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.9122.2.0',plain,
% 289.49/289.99 ( complement(meet(X1,complement(X2))) = join(complement(X1),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9122.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_9089]).
% 289.49/289.99 cnf('0.9123.0.0',plain,
% 289.49/289.99 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.4907.2.0','0.9121.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.9123.1.0',plain,
% 289.49/289.99 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9123.0.0']),
% 289.49/289.99 [weight('<5,9121,4907,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.9123.2.0',plain,
% 289.49/289.99 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9123.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_9090]).
% 289.49/289.99 cnf('0.9124.0.0',plain,
% 289.49/289.99 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9122.2.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1.2','L')]).
% 289.49/289.99 cnf('0.9124.1.0',plain,
% 289.49/289.99 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9124.0.0']),
% 289.49/289.99 [weight('<5,9122,4907,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.9124.2.0',plain,
% 289.49/289.99 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9124.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_9091]).
% 289.49/289.99 cnf('0.9133.0.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(complement(X2),X3)) = complement(join(X1,meet(X2,complement(X3)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9121.2.0','0.9120.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1.2','L')]).
% 289.49/289.99 cnf('0.9133.1.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(complement(X2),X3)) = complement(join(X1,meet(X2,complement(X3)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9133.0.0']),
% 289.49/289.99 [weight('<7,9121,9120,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.9133.2.0',plain,
% 289.49/289.99 ( complement(join(X1,meet(X2,complement(X3)))) = meet(complement(X1),join(complement(X2),X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9133.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_9100]).
% 289.49/289.99 cnf('0.9134.0.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(X2,complement(X3))) = complement(join(X1,meet(complement(X2),X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9121.2.0','0.9121.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1.2','L')]).
% 289.49/289.99 cnf('0.9134.1.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(X2,complement(X3))) = complement(join(X1,meet(complement(X2),X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9134.0.0']),
% 289.49/289.99 [weight('<7,9121,9121,[0,0,0,3]>')]).
% 289.49/289.99 cnf('0.9134.2.0',plain,
% 289.49/289.99 ( complement(join(X1,meet(complement(X2),X3))) = meet(complement(X1),join(X2,complement(X3))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9134.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_9101]).
% 289.49/289.99 cnf('0.9150.0.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X2,meet(complement(X2),X1)))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.8919.2.0'])).
% 289.49/289.99 cnf('0.9150.0.1',plain,
% 289.49/289.99 ( join(X1,meet(complement(X2),join(X2,complement(X1)))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9150.0.0','0.9134.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.9150.1.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(X2),join(X2,complement(X1)))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9150.0.1']),
% 289.49/289.99 [weight('<9,8919,9134,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.9150.2.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(X2),join(X2,complement(X1)))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9150.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_9117]).
% 289.49/289.99 cnf('0.9196.0.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(complement(X2),meet(X3,complement(X4)))) = complement(join(X1,meet(X2,join(complement(X3),X4)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9133.2.0','0.9122.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1.2.2','L')]).
% 289.49/289.99 cnf('0.9196.1.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(complement(X2),meet(X3,complement(X4)))) = complement(join(X1,meet(X2,join(complement(X3),X4)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9196.0.0']),
% 289.49/289.99 [weight('<10,9133,9122,[1,0,0,5]>')]).
% 289.49/289.99 cnf('0.9196.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(complement(X2),meet(X3,complement(X4)))) = complement(join(X1,meet(X2,join(complement(X3),X4)))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9196.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_9163]).
% 289.49/289.99 cnf('0.9386.0.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X2,join(X1,meet(complement(X1),join(X2,meet(X1,complement(X1))))))) = join(complement(X1),meet(X1,join(complement(X1),meet(X1,X2)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8911.2.0','0.9.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.9386.0.1',plain,
% 289.49/289.99 ( join(complement(X1),meet(X2,join(X1,meet(complement(X1),join(X2,zero))))) = join(complement(X1),meet(X1,join(complement(X1),meet(X1,X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9386.0.0','0.10.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2.2.2.2','L')]).
% 289.49/289.99 cnf('0.9386.0.2',plain,
% 289.49/289.99 ( join(complement(X1),meet(X2,join(X1,meet(complement(X1),X2)))) = join(complement(X1),meet(X1,join(complement(X1),meet(X1,X2)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9386.0.1','0.14.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2.2.2','L')]).
% 289.49/289.99 cnf('0.9386.0.3',plain,
% 289.49/289.99 ( join(complement(X1),meet(X2,join(X1,meet(complement(X1),X2)))) = join(complement(X1),meet(X1,X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9386.0.2','0.8911.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.9386.1.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X2,join(X1,meet(complement(X1),X2)))) = join(complement(X1),meet(X1,X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9386.0.3']),
% 289.49/289.99 [weight('<11,8911,9,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.9386.2.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X2,join(X1,meet(complement(X1),X2)))) = join(complement(X1),meet(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9386.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_9353]).
% 289.49/289.99 cnf('0.9391.0.0',plain,
% 289.49/289.99 ( join(complement(X1),join(meet(X1,join(complement(X1),X2)),X3)) = join(join(complement(X1),X2),X3) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.12.2.0','0.8911.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.9391.0.1',plain,
% 289.49/289.99 ( join(complement(X1),join(meet(X1,join(complement(X1),X2)),X3)) = join(complement(X1),join(X2,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9391.0.0','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.9391.1.0',plain,
% 289.49/289.99 ( join(complement(X1),join(meet(X1,join(complement(X1),X2)),X3)) = join(complement(X1),join(X2,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9391.0.1']),
% 289.49/289.99 [weight('<11,8911,12,[0,0,0,1]>')]).
% 289.49/289.99 cnf('0.9391.2.0',plain,
% 289.49/289.99 ( join(complement(X1),join(meet(X1,join(complement(X1),X2)),X3)) = join(complement(X1),join(X2,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9391.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_9358]).
% 289.49/289.99 cnf('0.9894.0.0',plain,
% 289.49/289.99 ( join(complement(complement(X1)),meet(complement(X1),complement(X2))) = join(complement(complement(X1)),complement(join(X2,meet(X1,join(complement(complement(complement(X1))),X2))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9386.2.0','0.9196.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.9894.0.1',plain,
% 289.49/289.99 ( join(X1,meet(complement(X1),complement(X2))) = join(complement(complement(X1)),complement(join(X2,meet(X1,join(complement(complement(complement(X1))),X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9894.0.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.9894.0.2',plain,
% 289.49/289.99 ( join(X1,complement(join(X1,X2))) = join(complement(complement(X1)),complement(join(X2,meet(X1,join(complement(complement(complement(X1))),X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9894.0.1','0.9119.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.9894.0.3',plain,
% 289.49/289.99 ( join(X1,complement(join(X1,X2))) = complement(meet(complement(X1),join(X2,meet(X1,join(complement(complement(complement(X1))),X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9894.0.2','0.9124.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.9894.0.4',plain,
% 289.49/289.99 ( join(X1,complement(join(X1,X2))) = join(X1,complement(join(X2,meet(X1,join(complement(complement(complement(X1))),X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9894.0.3','0.9123.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.9894.0.5',plain,
% 289.49/289.99 ( join(X1,complement(join(X1,X2))) = join(X1,complement(join(X2,meet(X1,join(complement(X1),X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9894.0.4','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2.1.2.2.1','L')]).
% 289.49/289.99 cnf('0.9894.1.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X1,X2))) = join(X1,complement(join(X2,meet(X1,join(complement(X1),X2))))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9894.0.5']),
% 289.49/289.99 [weight('<11,9386,9196,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.9894.2.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X2,meet(X1,join(complement(X1),X2))))) = join(X1,complement(join(X1,X2))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9894.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_9861]).
% 289.49/289.99 cnf('0.9967.0.0',plain,
% 289.49/289.99 ( meet(X1,complement(meet(X1,complement(join(meet(X1,X2),meet(X1,X3)))))) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.7999.2.0'])).
% 289.49/289.99 cnf('0.9967.0.1',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),join(meet(X1,X2),meet(X1,X3)))) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.9967.0.0','0.9122.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.9967.1.0',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),join(meet(X1,X2),meet(X1,X3)))) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9967.0.1']),
% 289.49/289.99 [weight('<12,7999,9122,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.9967.2.0',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),join(meet(X1,X2),meet(X1,X3)))) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9967.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_9934]).
% 289.49/289.99 cnf('0.9968.0.0',plain,
% 289.49/289.99 ( join(meet(X1,join(complement(X1),X2)),meet(X1,X3)) = meet(X1,join(complement(X1),join(X2,meet(X1,X3)))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9967.2.0','0.9391.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.9968.1.0',plain,
% 289.49/289.99 ( join(meet(X1,join(complement(X1),X2)),meet(X1,X3)) = meet(X1,join(complement(X1),join(X2,meet(X1,X3)))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9968.0.0']),
% 289.49/289.99 [weight('<10,9967,9391,[1,0,0,2]>')]).
% 289.49/289.99 cnf('0.9968.2.0',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),join(X2,meet(X1,X3)))) = join(meet(X1,join(complement(X1),X2)),meet(X1,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9968.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_9935]).
% 289.49/289.99 cnf('0.9970.0.0',plain,
% 289.49/289.99 ( join(meet(X1,join(complement(X1),X2)),meet(X1,X3)) = meet(X1,join(complement(X1),join(meet(X1,X3),X2))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.9968.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.9970.1.0',plain,
% 289.49/289.99 ( join(meet(X1,join(complement(X1),X2)),meet(X1,X3)) = meet(X1,join(complement(X1),join(meet(X1,X3),X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.9970.0.0']),
% 289.49/289.99 [weight('<10,9968,11,[1,0,0,5]>')]).
% 289.49/289.99 cnf('0.9970.2.0',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),join(meet(X1,X2),X3))) = join(meet(X1,join(complement(X1),X3)),meet(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.9970.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_9937]).
% 289.49/289.99 cnf('0.10170.0.0',plain,
% 289.49/289.99 ( X1 = ifeq(meet(X1,X2),zero,meet(complement(X2),join(X1,X2)),X1) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.8732.2.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.3.2','L')]).
% 289.49/289.99 cnf('0.10170.1.0',plain,
% 289.49/289.99 ( X1 = ifeq(meet(X1,X2),zero,meet(complement(X2),join(X1,X2)),X1) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10170.0.0']),
% 289.49/289.99 [weight('<12,8732,11,[1,0,0,8]>')]).
% 289.49/289.99 cnf('0.10170.2.0',plain,
% 289.49/289.99 ( ifeq(meet(X1,X2),zero,meet(complement(X2),join(X1,X2)),X1) = X1 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10170.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_10136]).
% 289.49/289.99 cnf('0.10171.0.0',plain,
% 289.49/289.99 ( X1 = ifeq(zero,zero,meet(complement(meet(X2,complement(meet(X1,X2)))),join(X1,meet(X2,complement(meet(X1,X2))))),X1) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.10170.2.0','0.64.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.10171.0.1',plain,
% 289.49/289.99 ( X1 = meet(complement(meet(X2,complement(meet(X1,X2)))),join(X1,meet(X2,complement(meet(X1,X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10171.0.0','0.5.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.10171.0.2',plain,
% 289.49/289.99 ( X1 = meet(join(complement(X2),meet(X1,X2)),join(X1,meet(X2,complement(meet(X1,X2))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10171.0.1','0.9122.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.1','L')]).
% 289.49/289.99 cnf('0.10171.0.3',plain,
% 289.49/289.99 ( X1 = meet(join(complement(X2),meet(X1,X2)),join(X1,X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10171.0.2','0.8802.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.10171.1.0',plain,
% 289.49/289.99 ( X1 = meet(join(complement(X2),meet(X1,X2)),join(X1,X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10171.0.3']),
% 289.49/289.99 [weight('<10,10170,64,[1,0,0,1]>')]).
% 289.49/289.99 cnf('0.10171.1.1',plain,
% 289.49/289.99 ( X1 = meet(join(X1,X2),join(complement(X2),meet(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10171.1.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.10171.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(complement(X2),meet(X1,X2))) = X1 ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10171.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_10137]).
% 289.49/289.99 cnf('0.10172.0.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.58.2.0','0.10171.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10172.1.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10172.0.0']),
% 289.49/289.99 [weight('<6,10171,58,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.10172.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10172.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10138]).
% 289.49/289.99 cnf('0.10173.0.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(X1),join(X2,X1))) = join(X1,X2) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.8800.2.0'])).
% 289.49/289.99 cnf('0.10173.0.1',plain,
% 289.49/289.99 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10173.0.0','0.10172.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10173.1.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10173.0.1']),
% 289.49/289.99 [weight('<6,8800,10172,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10173.2.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10173.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10139]).
% 289.49/289.99 cnf('0.10174.0.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(X1,meet(complement(X1),X2))) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.8878.2.0'])).
% 289.49/289.99 cnf('0.10174.0.1',plain,
% 289.49/289.99 ( meet(complement(X1),join(X1,X2)) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10174.0.0','0.10173.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10174.1.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(X1,X2)) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10174.0.1']),
% 289.49/289.99 [weight('<6,8878,10173,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10174.2.0',plain,
% 289.49/289.99 ( meet(complement(X1),join(X1,X2)) = meet(complement(X1),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10174.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10140]).
% 289.49/289.99 cnf('0.10175.0.0',plain,
% 289.49/289.99 ( join(X1,meet(complement(X2),join(X2,complement(X1)))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.9150.2.0'])).
% 289.49/289.99 cnf('0.10175.0.1',plain,
% 289.49/289.99 ( join(X1,meet(complement(X2),complement(X1))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10175.0.0','0.10174.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10175.0.2',plain,
% 289.49/289.99 ( join(X1,complement(join(X2,X1))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10175.0.1','0.9119.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10175.1.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X2,X1))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10175.0.2']),
% 289.49/289.99 [weight('<6,9150,10174,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10175.2.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X2,X1))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10175.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10141]).
% 289.49/289.99 cnf('0.10176.0.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,complement(join(X1,X2)))) = meet(X1,X2) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.8751.2.0'])).
% 289.49/289.99 cnf('0.10176.0.1',plain,
% 289.49/289.99 ( meet(X1,join(X2,complement(X1))) = meet(X1,X2) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10176.0.0','0.10175.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10176.1.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,complement(X1))) = meet(X1,X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10176.0.1']),
% 289.49/289.99 [weight('<6,8751,10175,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10176.2.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,complement(X1))) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10176.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10142]).
% 289.49/289.99 cnf('0.10177.0.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,join(X2,complement(X1)))) = join(complement(X1),X2) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.8918.2.0'])).
% 289.49/289.99 cnf('0.10177.0.1',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,X2)) = join(complement(X1),X2) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10177.0.0','0.10176.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10177.1.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,X2)) = join(complement(X1),X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10177.0.1']),
% 289.49/289.99 [weight('<6,8918,10176,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10177.2.0',plain,
% 289.49/289.99 ( join(complement(X1),meet(X1,X2)) = join(complement(X1),X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10177.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10143]).
% 289.49/289.99 cnf('0.10178.0.0',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,X2) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.8752.2.0'])).
% 289.49/289.99 cnf('0.10178.0.1',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),X2)) = meet(X1,X2) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10178.0.0','0.10177.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10178.1.0',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),X2)) = meet(X1,X2) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10178.0.1']),
% 289.49/289.99 [weight('<6,8752,10177,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10178.2.0',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),X2)) = meet(X1,X2) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10178.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10144]).
% 289.49/289.99 cnf('0.10183.0.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X2,meet(X1,join(complement(X1),X2))))) = join(X1,complement(join(X1,X2))) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.9894.2.0'])).
% 289.49/289.99 cnf('0.10183.0.1',plain,
% 289.49/289.99 ( join(X1,complement(join(X2,meet(X1,X2)))) = join(X1,complement(join(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10183.0.0','0.10178.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2','L')]).
% 289.49/289.99 cnf('0.10183.0.2',plain,
% 289.49/289.99 ( join(X1,complement(X2)) = join(X1,complement(join(X1,X2))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10183.0.1','0.24.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.10183.1.0',plain,
% 289.49/289.99 ( join(X1,complement(X2)) = join(X1,complement(join(X1,X2))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10183.0.2']),
% 289.49/289.99 [weight('<6,9894,10178,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10183.2.0',plain,
% 289.49/289.99 ( join(X1,complement(join(X1,X2))) = join(X1,complement(X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10183.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_10149]).
% 289.49/289.99 cnf('0.10184.0.0',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),join(X2,meet(X1,X3)))) = join(meet(X1,join(complement(X1),X2)),meet(X1,X3)) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.9968.2.0'])).
% 289.49/289.99 cnf('0.10184.0.1',plain,
% 289.49/289.99 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(complement(X1),X2)),meet(X1,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10184.0.0','0.10178.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.10184.0.2',plain,
% 289.49/289.99 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10184.0.1','0.10178.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.1','L')]).
% 289.49/289.99 cnf('0.10184.1.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10184.0.2']),
% 289.49/289.99 [weight('<7,9968,10178,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10184.2.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10184.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10150]).
% 289.49/289.99 cnf('0.10185.0.0',plain,
% 289.49/289.99 ( join(meet(X1,join(X2,meet(X1,X3))),meet(X3,meet(X1,X4))) = meet(X1,join(X2,meet(X3,X1))) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.4746.2.0'])).
% 289.49/289.99 cnf('0.10185.0.1',plain,
% 289.49/289.99 ( join(join(meet(X1,X2),meet(X1,X3)),meet(X3,meet(X1,X4))) = meet(X1,join(X2,meet(X3,X1))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10185.0.0','0.10184.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.10185.0.2',plain,
% 289.49/289.99 ( join(meet(X1,X2),join(meet(X1,X3),meet(X3,meet(X1,X4)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10185.0.1','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.10185.0.3',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(X2,meet(X3,X1))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10185.0.2','0.155.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10185.1.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(X2,meet(X3,X1))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10185.0.3']),
% 289.49/289.99 [weight('<7,4746,10184,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10185.2.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,X2),meet(X3,X1)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10185.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_10151]).
% 289.49/289.99 cnf('0.10186.0.0',plain,
% 289.49/289.99 ( meet(X1,join(complement(X1),join(meet(X1,X2),X3))) = join(meet(X1,join(complement(X1),X3)),meet(X1,X2)) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.9970.2.0'])).
% 289.49/289.99 cnf('0.10186.0.1',plain,
% 289.49/289.99 ( meet(X1,join(meet(X1,X2),X3)) = join(meet(X1,join(complement(X1),X3)),meet(X1,X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10186.0.0','0.10178.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.10186.0.2',plain,
% 289.49/289.99 ( meet(X1,join(meet(X1,X2),X3)) = join(meet(X1,X3),meet(X1,X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10186.0.1','0.10178.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.1','L')]).
% 289.49/289.99 cnf('0.10186.1.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X1,X2),X3)) = join(meet(X1,X3),meet(X1,X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10186.0.2']),
% 289.49/289.99 [weight('<7,9970,10178,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10186.2.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X1,X2),X3)) = join(meet(X1,X3),meet(X1,X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10186.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10152]).
% 289.49/289.99 cnf('0.10187.0.0',plain,
% 289.49/289.99 ( join(meet(X1,join(meet(X1,X2),X3)),meet(X2,meet(X1,X4))) = meet(X1,join(meet(X2,X1),X3)) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.4745.2.0'])).
% 289.49/289.99 cnf('0.10187.0.1',plain,
% 289.49/289.99 ( join(join(meet(X1,X3),meet(X1,X2)),meet(X2,meet(X1,X4))) = meet(X1,join(meet(X2,X1),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10187.0.0','0.10186.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.10187.0.2',plain,
% 289.49/289.99 ( join(meet(X1,X3),join(meet(X1,X2),meet(X2,meet(X1,X4)))) = meet(X1,join(meet(X2,X1),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10187.0.1','0.12.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.10187.0.3',plain,
% 289.49/289.99 ( join(meet(X1,X3),meet(X2,X1)) = meet(X1,join(meet(X2,X1),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10187.0.2','0.155.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10187.1.0',plain,
% 289.49/289.99 ( join(meet(X1,X3),meet(X2,X1)) = meet(X1,join(meet(X2,X1),X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10187.0.3']),
% 289.49/289.99 [weight('<7,4745,10186,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10187.2.0',plain,
% 289.49/289.99 ( meet(X1,join(meet(X2,X1),X3)) = join(meet(X1,X3),meet(X2,X1)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10187.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_10153]).
% 289.49/289.99 cnf('0.10188.0.0',plain,
% 289.49/289.99 ( join(meet(join(X1,X2),X3),meet(X1,join(X1,X2))) = meet(join(X1,X2),join(X3,X1)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.10185.2.0','0.2.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.10188.0.1',plain,
% 289.49/289.99 ( join(meet(join(X1,X2),X3),X1) = meet(join(X1,X2),join(X3,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10188.0.0','0.2.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10188.1.0',plain,
% 289.49/289.99 ( join(meet(join(X1,X2),X3),X1) = meet(join(X1,X2),join(X3,X1)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10188.0.1']),
% 289.49/289.99 [weight('<7,10185,2,[1,0,0,4]>')]).
% 289.49/289.99 cnf('0.10188.1.1',plain,
% 289.49/289.99 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X3,X1)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10188.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.10188.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(join(X1,X2),X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10188.1.1',theory(equality)]),
% 289.49/289.99 [x,rule_10154]).
% 289.49/289.99 cnf('0.10189.0.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(X2,X1)) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.4853.2.0'])).
% 289.49/289.99 cnf('0.10189.0.1',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X3),X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10189.0.0','0.10188.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.10189.1.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X3),X2)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10189.0.1']),
% 289.49/289.99 [weight('<7,4853,10188,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10189.2.0',plain,
% 289.49/289.99 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X3),X2)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10189.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10155]).
% 289.49/289.99 cnf('0.10191.0.0',plain,
% 289.49/289.99 ( join(meet(join(X1,X2),X3),meet(X1,join(X1,X2))) = meet(join(X1,X2),join(X1,X3)) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.10187.2.0','0.2.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.10191.0.1',plain,
% 289.49/289.99 ( join(meet(join(X1,X2),X3),X1) = meet(join(X1,X2),join(X1,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10191.0.0','0.2.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10191.1.0',plain,
% 289.49/289.99 ( join(meet(join(X1,X2),X3),X1) = meet(join(X1,X2),join(X1,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10191.0.1']),
% 289.49/289.99 [weight('<7,10187,2,[1,0,0,3]>')]).
% 289.49/289.99 cnf('0.10191.1.1',plain,
% 289.49/289.99 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10191.1.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.10191.1.2',plain,
% 289.49/289.99 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(join(X1,X3),X2)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10191.1.1','0.10189.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.10191.2.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(join(X1,X3),X2)) ),
% 289.49/289.99 inference(activate,[status(thm)],['0.10191.1.2']),
% 289.49/289.99 [equation_35]).
% 289.49/289.99 cnf('0.10194.0.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.10191.2.0','0.7.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10194.1.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10194.0.0']),
% 289.49/289.99 [weight('<7,10191,7,[1,0,0,2]>')]).
% 289.49/289.99 cnf('0.10194.2.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10194.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10158]).
% 289.49/289.99 cnf('0.10195.0.0',plain,
% 289.49/289.99 ( meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.4743.2.0'])).
% 289.49/289.99 cnf('0.10195.0.1',plain,
% 289.49/289.99 ( meet(join(X1,meet(X2,join(X1,X3))),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10195.0.0','0.10194.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.1','L')]).
% 289.49/289.99 cnf('0.10195.0.2',plain,
% 289.49/289.99 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(join(X2,X1),X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10195.0.1','0.530.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.10195.1.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(join(X2,X1),X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10195.0.2']),
% 289.49/289.99 [weight('<7,4743,10194,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10195.2.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X2,X1),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10195.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_10159]).
% 289.49/289.99 cnf('0.10201.0.0',plain,
% 289.49/289.99 ( meet(X1,meet(join(X2,complement(join(X2,X1))),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(interreduction_right,[status(thm)],['0.8943.2.0'])).
% 289.49/289.99 cnf('0.10201.0.1',plain,
% 289.49/289.99 ( meet(X1,meet(join(X2,complement(X1)),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10201.0.0','0.10183.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1','L')]).
% 289.49/289.99 cnf('0.10201.1.0',plain,
% 289.49/289.99 ( meet(X1,meet(join(X2,complement(X1)),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10201.0.1']),
% 289.49/289.99 [weight('<8,8943,10183,[0,0,0,0]>')]).
% 289.49/289.99 cnf('0.10201.2.0',plain,
% 289.49/289.99 ( meet(X1,meet(join(X2,complement(X1)),X3)) = meet(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10201.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10164]).
% 289.49/289.99 cnf('0.10202.0.0',plain,
% 289.49/289.99 ( join(X1,meet(join(X2,complement(complement(X1))),X3)) = join(X1,meet(complement(X1),meet(X2,X3))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.10173.2.0','0.10201.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10202.0.1',plain,
% 289.49/289.99 ( join(X1,meet(join(X2,X1),X3)) = join(X1,meet(complement(X1),meet(X2,X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10202.0.0','0.4907.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.1.2','L')]).
% 289.49/289.99 cnf('0.10202.0.2',plain,
% 289.49/289.99 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(complement(X1),meet(X2,X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10202.0.1','0.10195.2.0',theory(equality)]),
% 289.49/289.99 [pos('L','L')]).
% 289.49/289.99 cnf('0.10202.0.3',plain,
% 289.49/289.99 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10202.0.2','0.10173.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.10202.1.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10202.0.3']),
% 289.49/289.99 [weight('<7,10201,10173,[0,0,0,2]>')]).
% 289.49/289.99 cnf('0.10202.2.0',plain,
% 289.49/289.99 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10202.1.0',theory(equality)]),
% 289.49/289.99 [u,rule_10165]).
% 289.49/289.99 cnf('0.10210.0.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,join(X2,X3))) = meet(X1,join(X2,join(X2,meet(X1,join(X2,X3))))) ),
% 289.49/289.99 inference(cp,[status(thm)],['0.2322.2.0','0.10202.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2.2','L')]).
% 289.49/289.99 cnf('0.10210.0.1',plain,
% 289.49/289.99 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,join(X2,meet(X1,join(X2,X3))))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10210.0.0','0.27.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('0.10210.0.2',plain,
% 289.49/289.99 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,join(X2,X3)))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10210.0.1','0.27.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.10210.0.3',plain,
% 289.49/289.99 ( meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X1,X3))) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10210.0.2','0.10202.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('0.10210.0.4',plain,
% 289.49/289.99 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['0.10210.0.3','0.10184.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('0.10210.1.0',plain,
% 289.49/289.99 ( meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 289.49/289.99 inference(weigh,[status(thm)],['0.10210.0.4']),
% 289.49/289.99 [weight('<7,10202,2322,[0,0,0,4]>')]).
% 289.49/289.99 cnf('0.10210.2.0',plain,
% 289.49/289.99 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)) ),
% 289.49/289.99 inference(orient,[status(thm)],['0.10210.1.0',theory(equality)]),
% 289.49/289.99 [x,rule_10173]).
% 289.49/289.99 cnf('1.0.0.0',conjecture,
% 289.49/289.99 ( meet(a,join(b,c)) = join(meet(a,b),meet(a,c)) ),
% 289.49/289.99 file('/tmp/WALDMEISTER_14478_n018',conjecture_1)).
% 289.49/289.99 cnf('1.0.0.1',plain,
% 289.49/289.99 ( meet(a,join(c,b)) = join(meet(a,b),meet(a,c)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['1.0.0.0','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('L.2','L')]).
% 289.49/289.99 cnf('1.0.0.2',plain,
% 289.49/289.99 ( meet(a,join(c,b)) = meet(a,join(b,c)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['1.0.0.1','0.10210.2.0',theory(equality)]),
% 289.49/289.99 [pos('R','L')]).
% 289.49/289.99 cnf('1.0.0.3',plain,
% 289.49/289.99 ( meet(a,join(c,b)) = meet(a,join(c,b)) ),
% 289.49/289.99 inference(reduction,[status(thm)],['1.0.0.2','0.11.2.0',theory(equality)]),
% 289.49/289.99 [pos('R.2','L')]).
% 289.49/289.99 cnf('1.0.0.4',plain,
% 289.49/289.99 ( $true ),
% 289.49/289.99 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 289.49/289.99 [conjecture_1]).
% 289.49/289.99
% 289.49/289.99 Proved Goals:
% 289.49/289.99 No. 1: meet(a,join(b,c)) ?= join(meet(a,b),meet(a,c)) joined, current: meet(a,join(c,b)) = meet(a,join(c,b))
% 289.49/289.99 1 goal was specified, which was proved.
% 289.49/289.99 % SZS output end CNFRefutation
% 289.49/289.99 #END OF PROOF
% 289.49/289.99
% 289.49/289.99 Problem WALDMEISTER_14478_n018
% 289.49/289.99 CPs.gen 88800961
% 289.49/289.99 CPs.reexp 0
% 289.49/289.99 Select 3279965
% 289.49/289.99 R 10173
% 289.49/289.99 E 37
% 289.49/289.99 vsize 16.8M
% 289.49/289.99 rss 12.2M
% 289.49/289.99 process.time 288.939s
% 289.49/289.99 wallclock.time 288.994s
% 289.49/289.99 status S
% 289.49/289.99
% 289.49/289.99
% 289.49/289.99 Waldmeister states: Goal proved.
% 289.49/289.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------