TSTP Solution File: LAT190-10 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LAT190-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n004.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 07:15:37 EDT 2022
% Result : Unsatisfiable 202.95s 203.44s
% Output : CNFRefutation 202.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT190-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n004.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 09:07:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) meet(a,join(b,c)) ?=? join(meet(a,b),meet(a,c))
% 0.59/0.99
% 0.59/0.99 Detected structure: Verband
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 202.95/203.44 joined goal: 1 meet(a,join(b,c)) ?= join(meet(a,b),meet(a,c)) to meet(a,join(c,b))
% 202.95/203.44 goal joined
% 202.95/203.44 % SZS status Unsatisfiable
% 202.95/203.44 #START OF PROOF
% 202.95/203.44 % SZS output start CNFRefutation
% 202.95/203.44 cnf('0.1.0.0',axiom,
% 202.95/203.44 ( X1 = meet(X1,X1) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.1.1.0',plain,
% 202.95/203.44 ( X1 = meet(X1,X1) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.1.0.0']),
% 202.95/203.44 [weight('<0,0,0,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.1.2.0',plain,
% 202.95/203.44 ( meet(X1,X1) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_1]).
% 202.95/203.44 cnf('0.2.0.0',axiom,
% 202.95/203.44 ( X1 = meet(X1,join(X1,X2)) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.2.1.0',plain,
% 202.95/203.44 ( X1 = meet(X1,join(X1,X2)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.2.0.0']),
% 202.95/203.44 [weight('<1,0,0,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.2.2.0',plain,
% 202.95/203.44 ( meet(X1,join(X1,X2)) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_2]).
% 202.95/203.44 cnf('0.3.0.0',axiom,
% 202.95/203.44 ( X1 = join(X1,X1) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.3.1.0',plain,
% 202.95/203.44 ( X1 = join(X1,X1) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.3.0.0']),
% 202.95/203.44 [weight('<2,0,0,[0,0,0,3]>')]).
% 202.95/203.44 cnf('0.3.2.0',plain,
% 202.95/203.44 ( join(X1,X1) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_3]).
% 202.95/203.44 cnf('0.4.0.0',axiom,
% 202.95/203.44 ( X1 = join(X1,meet(X1,X2)) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.4.1.0',plain,
% 202.95/203.44 ( X1 = join(X1,meet(X1,X2)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.4.0.0']),
% 202.95/203.44 [weight('<3,0,0,[0,0,0,4]>')]).
% 202.95/203.44 cnf('0.4.2.0',plain,
% 202.95/203.44 ( join(X1,meet(X1,X2)) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_4]).
% 202.95/203.44 cnf('0.5.0.0',axiom,
% 202.95/203.44 ( X1 = ifeq(X2,X2,X1,X3) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.5.1.0',plain,
% 202.95/203.44 ( X1 = ifeq(X2,X2,X1,X3) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.5.0.0']),
% 202.95/203.44 [weight('<4,0,0,[0,0,0,5]>')]).
% 202.95/203.44 cnf('0.5.2.0',plain,
% 202.95/203.44 ( ifeq(X1,X1,X2,X3) = X2 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_5]).
% 202.95/203.44 cnf('0.6.0.0',axiom,
% 202.95/203.44 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.6.1.0',plain,
% 202.95/203.44 ( X1 = ifeq(join(X2,X1),one,ifeq(meet(X2,X1),zero,complement(X2),X1),X1) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.6.0.0']),
% 202.95/203.44 [weight('<5,0,0,[0,0,0,6]>')]).
% 202.95/203.44 cnf('0.6.2.0',plain,
% 202.95/203.44 ( ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_6]).
% 202.95/203.44 cnf('0.7.0.0',axiom,
% 202.95/203.44 ( meet(X1,X2) = meet(X2,X1) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.7.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X2,X1) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.7.0.0']),
% 202.95/203.44 [weight('<6,0,0,[0,0,0,7]>')]).
% 202.95/203.44 cnf('0.7.2.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X2,X1) ),
% 202.95/203.44 inference(activate,[status(thm)],['0.7.1.0']),
% 202.95/203.44 [equation_1]).
% 202.95/203.44 cnf('0.8.0.0',axiom,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.8.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(meet(X1,X2),X3) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.8.0.0']),
% 202.95/203.44 [weight('<7,0,0,[0,0,0,8]>')]).
% 202.95/203.44 cnf('0.8.2.0',plain,
% 202.95/203.44 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_7]).
% 202.95/203.44 cnf('0.9.0.0',axiom,
% 202.95/203.44 ( meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.9.1.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.9.0.0']),
% 202.95/203.44 [weight('<8,0,0,[0,0,0,9]>')]).
% 202.95/203.44 cnf('0.9.2.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_8]).
% 202.95/203.44 cnf('0.10.0.0',axiom,
% 202.95/203.44 ( meet(X1,complement(X1)) = zero ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.10.1.0',plain,
% 202.95/203.44 ( meet(X1,complement(X1)) = zero ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.10.0.0']),
% 202.95/203.44 [weight('<9,0,0,[0,0,0,10]>')]).
% 202.95/203.44 cnf('0.10.2.0',plain,
% 202.95/203.44 ( meet(X1,complement(X1)) = zero ),
% 202.95/203.44 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_9]).
% 202.95/203.44 cnf('0.11.0.0',axiom,
% 202.95/203.44 ( join(X1,X2) = join(X2,X1) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.11.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X2,X1) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.11.0.0']),
% 202.95/203.44 [weight('<10,0,0,[0,0,0,11]>')]).
% 202.95/203.44 cnf('0.11.2.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X2,X1) ),
% 202.95/203.44 inference(activate,[status(thm)],['0.11.1.0']),
% 202.95/203.44 [equation_2]).
% 202.95/203.44 cnf('0.12.0.0',axiom,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.12.1.0',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(join(X1,X2),X3) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.12.0.0']),
% 202.95/203.44 [weight('<11,0,0,[0,0,0,12]>')]).
% 202.95/203.44 cnf('0.12.2.0',plain,
% 202.95/203.44 ( join(join(X1,X2),X3) = join(X1,join(X2,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_10]).
% 202.95/203.44 cnf('0.13.0.0',axiom,
% 202.95/203.44 ( join(X1,complement(X1)) = one ),
% 202.95/203.44 file('/tmp/WALDMEISTER_30541_n004')).
% 202.95/203.44 cnf('0.13.1.0',plain,
% 202.95/203.44 ( join(X1,complement(X1)) = one ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.13.0.0']),
% 202.95/203.44 [weight('<12,0,0,[0,0,0,13]>')]).
% 202.95/203.44 cnf('0.13.2.0',plain,
% 202.95/203.44 ( join(X1,complement(X1)) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_11]).
% 202.95/203.44 cnf('0.14.0.0',plain,
% 202.95/203.44 ( X1 = join(X1,zero) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.14.1.0',plain,
% 202.95/203.44 ( X1 = join(X1,zero) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.14.0.0']),
% 202.95/203.44 [weight('<3,10,4,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.14.2.0',plain,
% 202.95/203.44 ( join(X1,zero) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_12]).
% 202.95/203.44 cnf('0.15.0.0',plain,
% 202.95/203.44 ( X1 = meet(X1,one) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.2.2.0','0.13.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.15.1.0',plain,
% 202.95/203.44 ( X1 = meet(X1,one) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.15.0.0']),
% 202.95/203.44 [weight('<3,13,2,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.15.2.0',plain,
% 202.95/203.44 ( meet(X1,one) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_13]).
% 202.95/203.44 cnf('0.16.0.0',plain,
% 202.95/203.44 ( X1 = join(zero,X1) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.14.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.16.1.0',plain,
% 202.95/203.44 ( X1 = join(zero,X1) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.16.0.0']),
% 202.95/203.44 [weight('<3,14,11,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.16.2.0',plain,
% 202.95/203.44 ( join(zero,X1) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_14]).
% 202.95/203.44 cnf('0.17.0.0',plain,
% 202.95/203.44 ( complement(zero) = one ),
% 202.95/203.44 inference(cp,[status(thm)],['0.16.2.0','0.13.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.17.1.0',plain,
% 202.95/203.44 ( complement(zero) = one ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.17.0.0']),
% 202.95/203.44 [weight('<2,16,13,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.17.2.0',plain,
% 202.95/203.44 ( complement(zero) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_15]).
% 202.95/203.44 cnf('0.18.0.0',plain,
% 202.95/203.44 ( X1 = meet(one,X1) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.15.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.18.1.0',plain,
% 202.95/203.44 ( X1 = meet(one,X1) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.18.0.0']),
% 202.95/203.44 [weight('<3,15,7,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.18.2.0',plain,
% 202.95/203.44 ( meet(one,X1) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_16]).
% 202.95/203.44 cnf('0.20.0.0',plain,
% 202.95/203.44 ( zero = meet(zero,X1) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.2.2.0','0.16.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.20.1.0',plain,
% 202.95/203.44 ( zero = meet(zero,X1) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.20.0.0']),
% 202.95/203.44 [weight('<3,16,2,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.20.2.0',plain,
% 202.95/203.44 ( meet(zero,X1) = zero ),
% 202.95/203.44 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_18]).
% 202.95/203.44 cnf('0.21.0.0',plain,
% 202.95/203.44 ( join(one,X1) = one ),
% 202.95/203.44 inference(cp,[status(thm)],['0.18.2.0','0.2.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.21.1.0',plain,
% 202.95/203.44 ( join(one,X1) = one ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.21.0.0']),
% 202.95/203.44 [weight('<3,18,2,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.21.2.0',plain,
% 202.95/203.44 ( join(one,X1) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_19]).
% 202.95/203.44 cnf('0.22.0.0',plain,
% 202.95/203.44 ( zero = meet(X1,zero) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.20.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.22.1.0',plain,
% 202.95/203.44 ( zero = meet(X1,zero) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.22.0.0']),
% 202.95/203.44 [weight('<3,20,7,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.22.2.0',plain,
% 202.95/203.44 ( meet(X1,zero) = zero ),
% 202.95/203.44 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_20]).
% 202.95/203.44 cnf('0.23.0.0',plain,
% 202.95/203.44 ( one = join(X1,one) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.21.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.23.1.0',plain,
% 202.95/203.44 ( one = join(X1,one) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.23.0.0']),
% 202.95/203.44 [weight('<3,21,11,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.23.2.0',plain,
% 202.95/203.44 ( join(X1,one) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_21]).
% 202.95/203.44 cnf('0.24.0.0',plain,
% 202.95/203.44 ( X1 = join(X1,meet(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.4.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.24.1.0',plain,
% 202.95/203.44 ( X1 = join(X1,meet(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.24.0.0']),
% 202.95/203.44 [weight('<5,7,4,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.24.2.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,X1)) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_22]).
% 202.95/203.44 cnf('0.25.0.0',plain,
% 202.95/203.44 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.25.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.25.0.0']),
% 202.95/203.44 [weight('<5,8,1,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.25.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X1,X2)) = meet(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_23]).
% 202.95/203.44 cnf('0.26.0.0',plain,
% 202.95/203.44 ( X1 = meet(X1,join(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.2.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.26.1.0',plain,
% 202.95/203.44 ( X1 = meet(X1,join(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.26.0.0']),
% 202.95/203.44 [weight('<5,11,2,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.26.2.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,X1)) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_24]).
% 202.95/203.44 cnf('0.27.0.0',plain,
% 202.95/203.44 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.12.2.0','0.3.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.27.1.0',plain,
% 202.95/203.44 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.27.0.0']),
% 202.95/203.44 [weight('<5,12,3,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.27.2.0',plain,
% 202.95/203.44 ( join(X1,join(X1,X2)) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_25]).
% 202.95/203.44 cnf('0.30.0.0',plain,
% 202.95/203.44 ( join(meet(one,X1),meet(one,X2)) = meet(one,join(meet(one,X1),join(meet(one,X2),meet(X1,one)))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.9.2.0','0.21.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2.2.2','L')]).
% 202.95/203.44 cnf('0.30.0.1',plain,
% 202.95/203.44 ( join(X1,meet(one,X2)) = meet(one,join(meet(one,X1),join(meet(one,X2),meet(X1,one)))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.30.0.0','0.18.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.30.0.2',plain,
% 202.95/203.44 ( join(X1,X2) = meet(one,join(meet(one,X1),join(meet(one,X2),meet(X1,one)))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.30.0.1','0.18.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.30.0.3',plain,
% 202.95/203.44 ( join(X1,X2) = join(meet(one,X1),join(meet(one,X2),meet(X1,one))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.30.0.2','0.18.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.30.0.4',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,join(meet(one,X2),meet(X1,one))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.30.0.3','0.18.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.1','L')]).
% 202.95/203.44 cnf('0.30.0.5',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,join(X2,meet(X1,one))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.30.0.4','0.18.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2.1','L')]).
% 202.95/203.44 cnf('0.30.0.6',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.30.0.5','0.15.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2.2','L')]).
% 202.95/203.44 cnf('0.30.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,join(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.30.0.6']),
% 202.95/203.44 [weight('<5,21,9,[0,0,0,12]>')]).
% 202.95/203.44 cnf('0.30.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,X1)) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_28]).
% 202.95/203.44 cnf('0.31.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.25.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.31.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X1,meet(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.31.0.0']),
% 202.95/203.44 [weight('<5,25,7,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.31.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X1)) = meet(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_29]).
% 202.95/203.44 cnf('0.32.0.0',plain,
% 202.95/203.44 ( meet(X1,meet(complement(X1),X2)) = meet(zero,X2) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.8.2.0','0.10.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.32.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(complement(X1),X2)) = meet(zero,X2) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.32.0.0']),
% 202.95/203.44 [weight('<6,10,8,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.32.1.1',plain,
% 202.95/203.44 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.32.1.0','0.20.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.32.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(complement(X1),X2)) = zero ),
% 202.95/203.44 inference(orient,[status(thm)],['0.32.1.1',theory(equality)]),
% 202.95/203.44 [u,rule_30]).
% 202.95/203.44 cnf('0.33.0.0',plain,
% 202.95/203.44 ( join(X1,join(complement(X1),X2)) = join(one,X2) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.12.2.0','0.13.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.33.1.0',plain,
% 202.95/203.44 ( join(X1,join(complement(X1),X2)) = join(one,X2) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.33.0.0']),
% 202.95/203.44 [weight('<6,13,12,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.33.1.1',plain,
% 202.95/203.44 ( join(X1,join(complement(X1),X2)) = one ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.33.1.0','0.21.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.33.2.0',plain,
% 202.95/203.44 ( join(X1,join(complement(X1),X2)) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.33.1.1',theory(equality)]),
% 202.95/203.44 [u,rule_31]).
% 202.95/203.44 cnf('0.37.0.0',plain,
% 202.95/203.44 ( meet(meet(complement(X1),X2),X1) = meet(meet(complement(X1),X2),zero) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.31.2.0','0.32.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.37.0.1',plain,
% 202.95/203.44 ( meet(complement(X1),meet(X2,X1)) = meet(meet(complement(X1),X2),zero) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.37.0.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.37.0.2',plain,
% 202.95/203.44 ( meet(complement(X1),meet(X2,X1)) = meet(complement(X1),meet(X2,zero)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.37.0.1','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.37.0.3',plain,
% 202.95/203.44 ( meet(complement(X1),meet(X2,X1)) = meet(complement(X1),zero) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.37.0.2','0.22.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2','L')]).
% 202.95/203.44 cnf('0.37.0.4',plain,
% 202.95/203.44 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.37.0.3','0.22.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.37.1.0',plain,
% 202.95/203.44 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.37.0.4']),
% 202.95/203.44 [weight('<6,32,31,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.37.2.0',plain,
% 202.95/203.44 ( meet(complement(X1),meet(X2,X1)) = zero ),
% 202.95/203.44 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_35]).
% 202.95/203.44 cnf('0.38.0.0',plain,
% 202.95/203.44 ( one = join(X1,join(X2,complement(X1))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.33.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.38.1.0',plain,
% 202.95/203.44 ( one = join(X1,join(X2,complement(X1))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.38.0.0']),
% 202.95/203.44 [weight('<6,33,11,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.38.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,complement(X1))) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_36]).
% 202.95/203.44 cnf('0.39.0.0',plain,
% 202.95/203.44 ( join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),one) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.30.2.0','0.33.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.39.0.1',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),one) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.39.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.39.0.2',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,one)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.39.0.1','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.39.0.3',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,X1)) = join(complement(X1),one) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.39.0.2','0.23.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2','L')]).
% 202.95/203.44 cnf('0.39.0.4',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,X1)) = one ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.39.0.3','0.23.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.39.1.0',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,X1)) = one ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.39.0.4']),
% 202.95/203.44 [weight('<6,33,30,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.39.2.0',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,X1)) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_37]).
% 202.95/203.44 cnf('0.42.0.0',plain,
% 202.95/203.44 ( zero = meet(complement(join(X1,X2)),X2) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.37.2.0','0.26.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.42.1.0',plain,
% 202.95/203.44 ( zero = meet(complement(join(X1,X2)),X2) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.42.0.0']),
% 202.95/203.44 [weight('<6,37,26,[1,0,0,3]>')]).
% 202.95/203.44 cnf('0.42.1.1',plain,
% 202.95/203.44 ( zero = meet(X2,complement(join(X1,X2))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.42.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.42.2.0',plain,
% 202.95/203.44 ( meet(X1,complement(join(X2,X1))) = zero ),
% 202.95/203.44 inference(orient,[status(thm)],['0.42.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_40]).
% 202.95/203.44 cnf('0.45.0.0',plain,
% 202.95/203.44 ( one = join(complement(meet(X1,X2)),X2) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.39.2.0','0.24.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.45.1.0',plain,
% 202.95/203.44 ( one = join(complement(meet(X1,X2)),X2) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.45.0.0']),
% 202.95/203.44 [weight('<6,39,24,[1,0,0,3]>')]).
% 202.95/203.44 cnf('0.45.1.1',plain,
% 202.95/203.44 ( one = join(X2,complement(meet(X1,X2))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.45.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.45.2.0',plain,
% 202.95/203.44 ( join(X1,complement(meet(X2,X1))) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.45.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_43]).
% 202.95/203.44 cnf('0.46.0.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.46.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.46.0.0']),
% 202.95/203.44 [weight('<7,8,2,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.46.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_44]).
% 202.95/203.44 cnf('0.47.0.0',plain,
% 202.95/203.44 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.12.2.0','0.4.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.47.1.0',plain,
% 202.95/203.44 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.47.0.0']),
% 202.95/203.44 [weight('<7,12,4,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.47.2.0',plain,
% 202.95/203.44 ( join(X1,join(meet(X1,X2),X3)) = join(X1,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_45]).
% 202.95/203.44 cnf('0.48.0.0',plain,
% 202.95/203.44 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.24.2.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.48.1.0',plain,
% 202.95/203.44 ( X1 = join(X1,meet(X2,meet(X3,X1))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.48.0.0']),
% 202.95/203.44 [weight('<7,24,8,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.48.2.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,meet(X3,X1))) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_46]).
% 202.95/203.44 cnf('0.49.0.0',plain,
% 202.95/203.44 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.12.2.0','0.24.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.49.1.0',plain,
% 202.95/203.44 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.49.0.0']),
% 202.95/203.44 [weight('<7,24,12,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.49.2.0',plain,
% 202.95/203.44 ( join(X1,join(meet(X2,X1),X3)) = join(X1,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_47]).
% 202.95/203.44 cnf('0.50.0.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.8.2.0','0.26.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.50.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.50.0.0']),
% 202.95/203.44 [weight('<7,26,8,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.50.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_48]).
% 202.95/203.44 cnf('0.51.0.0',plain,
% 202.95/203.44 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.26.2.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.51.1.0',plain,
% 202.95/203.44 ( X1 = meet(X1,join(X2,join(X3,X1))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.51.0.0']),
% 202.95/203.44 [weight('<7,26,12,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.51.2.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,join(X3,X1))) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_49]).
% 202.95/203.44 cnf('0.52.0.0',plain,
% 202.95/203.44 ( join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.12.2.0','0.30.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.52.0.1',plain,
% 202.95/203.44 ( join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.52.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.52.0.2',plain,
% 202.95/203.44 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.52.0.1','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.52.1.0',plain,
% 202.95/203.44 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.52.0.2']),
% 202.95/203.44 [weight('<7,30,12,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.52.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_50]).
% 202.95/203.44 cnf('0.55.0.0',plain,
% 202.95/203.44 ( meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.8.2.0','0.31.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.55.0.1',plain,
% 202.95/203.44 ( meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.55.0.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.55.0.2',plain,
% 202.95/203.44 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.55.0.1','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.55.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.55.0.2']),
% 202.95/203.44 [weight('<7,31,8,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.55.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_53]).
% 202.95/203.44 cnf('0.56.0.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.31.2.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.56.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.56.0.0']),
% 202.95/203.44 [weight('<7,31,8,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.56.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_54]).
% 202.95/203.44 cnf('0.58.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.46.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.58.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.58.0.0']),
% 202.95/203.44 [weight('<7,46,7,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.58.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_56]).
% 202.95/203.44 cnf('0.59.0.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,join(X1,X3))) = meet(X1,join(X1,X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.46.2.0','0.26.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.59.0.1',plain,
% 202.95/203.44 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.59.0.0','0.2.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.59.1.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.59.0.1']),
% 202.95/203.44 [weight('<7,46,26,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.59.2.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,join(X1,X3))) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_57]).
% 202.95/203.44 cnf('0.60.0.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.47.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.60.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,join(X2,meet(X1,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.60.0.0']),
% 202.95/203.44 [weight('<7,47,11,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.60.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,meet(X1,X3))) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_58]).
% 202.95/203.44 cnf('0.61.0.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,meet(X1,X3))) = join(X1,meet(X1,X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.47.2.0','0.24.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.61.0.1',plain,
% 202.95/203.44 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.61.0.0','0.4.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.61.1.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.61.0.1']),
% 202.95/203.44 [weight('<7,47,24,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.61.2.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,meet(X1,X3))) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.61.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_59]).
% 202.95/203.44 cnf('0.62.0.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(join(X1,X2),meet(X3,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.48.2.0','0.2.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2','L')]).
% 202.95/203.44 cnf('0.62.0.1',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.62.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.62.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,join(X2,meet(X3,X1))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.62.0.1']),
% 202.95/203.44 [weight('<7,48,2,[1,0,0,4]>')]).
% 202.95/203.44 cnf('0.62.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,meet(X3,X1))) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_60]).
% 202.95/203.44 cnf('0.63.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.50.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.63.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,X1))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.63.0.0']),
% 202.95/203.44 [weight('<7,50,7,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.63.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_61]).
% 202.95/203.44 cnf('0.70.0.0',plain,
% 202.95/203.44 ( zero = meet(complement(meet(X1,X2)),meet(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.37.2.0','0.31.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.70.1.0',plain,
% 202.95/203.44 ( zero = meet(complement(meet(X1,X2)),meet(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.70.0.0']),
% 202.95/203.44 [weight('<8,37,31,[1,0,0,3]>')]).
% 202.95/203.44 cnf('0.70.1.1',plain,
% 202.95/203.44 ( zero = meet(meet(X2,X1),complement(meet(X1,X2))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.70.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.70.1.2',plain,
% 202.95/203.44 ( zero = meet(X2,meet(X1,complement(meet(X1,X2)))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.70.1.1','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.70.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,complement(meet(X2,X1)))) = zero ),
% 202.95/203.44 inference(orient,[status(thm)],['0.70.1.2',theory(equality)]),
% 202.95/203.44 [x,rule_68]).
% 202.95/203.44 cnf('0.99.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.4.2.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.99.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.99.0.0']),
% 202.95/203.44 [weight('<9,8,4,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.99.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_97]).
% 202.95/203.44 cnf('0.101.0.0',plain,
% 202.95/203.44 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.12.2.0','0.4.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.101.1.0',plain,
% 202.95/203.44 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.101.0.0']),
% 202.95/203.44 [weight('<9,12,4,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.101.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_99]).
% 202.95/203.44 cnf('0.103.0.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.25.2.0','0.9.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.103.0.1',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.103.0.0','0.9.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.103.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X1,X2),meet(X1,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.103.0.1']),
% 202.95/203.44 [weight('<9,25,9,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.103.2.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.103.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_101]).
% 202.95/203.44 cnf('0.104.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.26.2.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.104.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.104.0.0']),
% 202.95/203.44 [weight('<9,26,8,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.104.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_102]).
% 202.95/203.44 cnf('0.105.0.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.24.2.0','0.46.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.105.1.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X1,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.105.0.0']),
% 202.95/203.44 [weight('<9,46,24,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.105.1.1',plain,
% 202.95/203.44 ( meet(join(X1,X2),X3) = join(meet(X1,X3),meet(join(X1,X2),X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.105.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.105.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(join(X1,X3),X2)) = meet(join(X1,X3),X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.105.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_103]).
% 202.95/203.44 cnf('0.106.0.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(join(X1,X2),meet(X1,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.105.2.0','0.25.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.106.0.1',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.106.0.0','0.24.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.106.1.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.106.0.1']),
% 202.95/203.44 [weight('<7,105,25,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.106.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_104]).
% 202.95/203.44 cnf('0.107.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.106.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.107.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(join(X1,X3),meet(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.107.0.0']),
% 202.95/203.44 [weight('<7,106,7,[1,0,0,4]>')]).
% 202.95/203.44 cnf('0.107.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X3,X1)) = meet(X1,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_105]).
% 202.95/203.44 cnf('0.108.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.106.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.108.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(join(X3,X1),meet(X1,X2)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.108.0.0']),
% 202.95/203.44 [weight('<7,106,11,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.108.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.108.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_106]).
% 202.95/203.44 cnf('0.109.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(join(X3,X1),meet(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.107.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.109.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(join(X3,X1),meet(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.109.0.0']),
% 202.95/203.44 [weight('<7,107,11,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.109.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X3,X2)) = meet(X2,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.109.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_107]).
% 202.95/203.44 cnf('0.110.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.26.2.0','0.47.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.110.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.110.0.0']),
% 202.95/203.44 [weight('<9,47,26,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.110.1.1',plain,
% 202.95/203.44 ( join(meet(X1,X2),X3) = meet(join(X1,X3),join(meet(X1,X2),X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.110.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.110.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.110.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_108]).
% 202.95/203.44 cnf('0.111.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X1,X3)) = meet(join(X1,X3),join(meet(X1,X2),join(X1,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.110.2.0','0.27.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.111.0.1',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.111.0.0','0.26.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.111.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.111.0.1']),
% 202.95/203.44 [weight('<7,110,27,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.111.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X1,X3)) = join(X1,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.111.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_109]).
% 202.95/203.44 cnf('0.113.0.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(meet(X1,X3),join(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.111.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.113.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(meet(X1,X3),join(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.113.0.0']),
% 202.95/203.44 [weight('<7,111,11,[1,0,0,4]>')]).
% 202.95/203.44 cnf('0.113.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X3,X1)) = join(X1,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.113.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_111]).
% 202.95/203.44 cnf('0.119.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.26.2.0','0.49.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.119.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X2,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.119.0.0']),
% 202.95/203.44 [weight('<9,49,26,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.119.1.1',plain,
% 202.95/203.44 ( join(meet(X1,X2),X3) = meet(join(X2,X3),join(meet(X1,X2),X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.119.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.119.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),join(meet(X3,X1),X2)) = join(meet(X3,X1),X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.119.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_117]).
% 202.95/203.44 cnf('0.123.0.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.24.2.0','0.50.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.123.1.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),X3) = join(meet(join(X1,X2),X3),meet(X2,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.123.0.0']),
% 202.95/203.44 [weight('<9,50,24,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.123.1.1',plain,
% 202.95/203.44 ( meet(join(X1,X2),X3) = join(meet(X2,X3),meet(join(X1,X2),X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.123.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.123.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.123.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_121]).
% 202.95/203.44 cnf('0.130.0.0',plain,
% 202.95/203.44 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(meet(X1,X3),join(X2,X4))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.47.2.0','0.52.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.130.0.1',plain,
% 202.95/203.44 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.130.0.0','0.47.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.130.1.0',plain,
% 202.95/203.44 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.130.0.1']),
% 202.95/203.44 [weight('<9,52,47,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.130.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.130.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_128]).
% 202.95/203.44 cnf('0.133.0.0',plain,
% 202.95/203.44 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.51.2.0','0.52.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.133.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.133.0.0']),
% 202.95/203.44 [weight('<9,52,51,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.133.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.133.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_131]).
% 202.95/203.44 cnf('0.140.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.48.2.0','0.55.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.140.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X3,X2))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.140.0.0']),
% 202.95/203.44 [weight('<9,55,48,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.140.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.140.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_138]).
% 202.95/203.44 cnf('0.147.0.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.24.2.0','0.58.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.147.1.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.147.0.0']),
% 202.95/203.44 [weight('<9,58,24,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.147.1.1',plain,
% 202.95/203.44 ( meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.147.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.147.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.147.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_145]).
% 202.95/203.44 cnf('0.149.0.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.26.2.0','0.60.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.149.1.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.149.0.0']),
% 202.95/203.44 [weight('<9,60,26,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.149.1.1',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.149.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.149.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.149.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_147]).
% 202.95/203.44 cnf('0.152.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),X3) = join(meet(X1,X2),join(X3,meet(X2,X1))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.62.2.0','0.31.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2','L')]).
% 202.95/203.44 cnf('0.152.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),X3) = join(meet(X1,X2),join(X3,meet(X2,X1))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.152.0.0']),
% 202.95/203.44 [weight('<9,62,31,[1,0,0,4]>')]).
% 202.95/203.44 cnf('0.152.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X3,meet(X2,X1))) = join(meet(X1,X2),X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.152.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_150]).
% 202.95/203.44 cnf('0.156.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = join(meet(X2,X1),meet(X1,meet(X2,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.99.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.156.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = join(meet(X2,X1),meet(X1,meet(X2,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.156.0.0']),
% 202.95/203.44 [weight('<9,99,7,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.156.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X2,meet(X1,X3))) = meet(X2,X1) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.156.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_154]).
% 202.95/203.44 cnf('0.158.0.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,join(X2,meet(join(X2,X1),X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.101.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2.1','L')]).
% 202.95/203.44 cnf('0.158.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,join(X2,meet(join(X2,X1),X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.158.0.0']),
% 202.95/203.44 [weight('<9,101,11,[1,0,0,5]>')]).
% 202.95/203.44 cnf('0.158.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,meet(join(X2,X1),X3))) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.158.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_156]).
% 202.95/203.44 cnf('0.160.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,X1),meet(X1,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.103.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.1','L')]).
% 202.95/203.44 cnf('0.160.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,X1),meet(X1,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.160.0.0']),
% 202.95/203.44 [weight('<9,103,7,[1,0,0,3]>')]).
% 202.95/203.44 cnf('0.160.2.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X2,X1),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.160.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_158]).
% 202.95/203.44 cnf('0.163.0.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.105.2.0','0.2.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.163.1.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.163.0.0']),
% 202.95/203.44 [weight('<9,105,2,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.163.2.0',plain,
% 202.95/203.44 ( join(X1,meet(join(X1,X2),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.163.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_161]).
% 202.95/203.44 cnf('0.167.0.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X2,meet(X3,X1))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.107.2.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.167.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(join(X1,X4),meet(X2,meet(X3,X1))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.167.0.0']),
% 202.95/203.44 [weight('<9,107,8,[1,0,0,4]>')]).
% 202.95/203.44 cnf('0.167.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X3,meet(X4,X1))) = meet(X1,meet(X3,X4)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.167.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_165]).
% 202.95/203.44 cnf('0.168.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(join(X3,join(X4,X1)),meet(X1,X2)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.108.2.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.168.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(join(X3,join(X4,X1)),meet(X1,X2)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.168.0.0']),
% 202.95/203.44 [weight('<9,108,12,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.168.2.0',plain,
% 202.95/203.44 ( meet(join(X1,join(X2,X3)),meet(X3,X4)) = meet(X3,X4) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.168.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_166]).
% 202.95/203.44 cnf('0.170.0.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(meet(X3,X2),X4)) = meet(meet(X2,X3),X4) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.8.2.0','0.109.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.170.0.1',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(meet(X2,X3),X4) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.170.0.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.170.0.2',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.170.0.1','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.170.1.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.170.0.2']),
% 202.95/203.44 [weight('<9,109,8,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.170.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X3,meet(X2,X4))) = meet(X2,meet(X3,X4)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.170.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_168]).
% 202.95/203.44 cnf('0.174.0.0',plain,
% 202.95/203.44 ( join(join(X1,X2),X3) = join(meet(X2,X4),join(join(X1,X2),X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.111.2.0','0.108.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.174.0.1',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(join(X1,X2),X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.174.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.174.0.2',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(X1,join(X2,X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.174.0.1','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2','L')]).
% 202.95/203.44 cnf('0.174.1.0',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(meet(X2,X4),join(X1,join(X2,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.174.0.2']),
% 202.95/203.44 [weight('<9,111,108,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.174.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X3,join(X1,X4))) = join(X3,join(X1,X4)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_172]).
% 202.95/203.44 cnf('0.175.0.0',plain,
% 202.95/203.44 ( join(join(X1,X2),X3) = join(join(meet(X1,X4),X2),join(join(X1,X2),X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.111.2.0','0.110.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.175.0.1',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(join(meet(X1,X4),X2),join(join(X1,X2),X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.175.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.175.0.2',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(join(X1,X2),X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.175.0.1','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.175.0.3',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(X1,join(X2,X3)))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.175.0.2','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2.2','L')]).
% 202.95/203.44 cnf('0.175.0.4',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(X1,X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.175.0.3','0.52.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2','L')]).
% 202.95/203.44 cnf('0.175.1.0',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X2,join(X1,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.175.0.4']),
% 202.95/203.44 [weight('<9,111,110,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.175.1.1',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.175.1.0','0.174.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.175.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(X2,join(X1,X3)) ),
% 202.95/203.44 inference(activate,[status(thm)],['0.175.1.1']),
% 202.95/203.44 [equation_3]).
% 202.95/203.44 cnf('0.177.0.0',plain,
% 202.95/203.44 ( join(join(X1,X2),X3) = join(meet(X1,X4),join(X3,join(X1,X2))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.113.2.0','0.106.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.177.0.1',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X3,join(X1,X2))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.177.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.177.1.0',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(meet(X1,X4),join(X3,join(X1,X2))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.177.0.1']),
% 202.95/203.44 [weight('<9,113,106,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.177.1.1',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.177.1.0','0.174.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.177.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(X3,join(X1,X2)) ),
% 202.95/203.44 inference(activate,[status(thm)],['0.177.1.1']),
% 202.95/203.44 [equation_4]).
% 202.95/203.44 cnf('0.179.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.119.2.0','0.24.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.179.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),meet(X3,X2))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.179.0.0']),
% 202.95/203.44 [weight('<9,119,24,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.179.2.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X2,X1),meet(X3,X1))) = join(meet(X2,X1),meet(X3,X1)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.179.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_175]).
% 202.95/203.44 cnf('0.180.0.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.123.2.0','0.2.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.180.1.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X1,X2),join(X2,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.180.0.0']),
% 202.95/203.44 [weight('<9,123,2,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.180.2.0',plain,
% 202.95/203.44 ( join(X1,meet(join(X2,X1),join(X1,X3))) = meet(join(X2,X1),join(X1,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.180.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_176]).
% 202.95/203.44 cnf('0.184.0.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X2)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.133.2.0','0.4.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2','L')]).
% 202.95/203.44 cnf('0.184.1.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X1,X2)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.184.0.0']),
% 202.95/203.44 [weight('<9,133,4,[1,0,0,6]>')]).
% 202.95/203.44 cnf('0.184.1.1',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,meet(X2,X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.184.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.184.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.184.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_180]).
% 202.95/203.44 cnf('0.190.0.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.158.2.0','0.163.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.190.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,meet(join(X2,X1),join(X2,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.190.0.0']),
% 202.95/203.44 [weight('<9,163,158,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.190.2.0',plain,
% 202.95/203.44 ( join(X1,meet(join(X2,X1),join(X2,X3))) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_186]).
% 202.95/203.44 cnf('0.192.0.0',plain,
% 202.95/203.44 ( meet(meet(X1,X2),X3) = meet(join(X4,X2),meet(meet(X1,X2),X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.168.2.0','0.24.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1.2','L')]).
% 202.95/203.44 cnf('0.192.0.1',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(meet(X1,X2),X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.192.0.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.192.0.2',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(X1,meet(X2,X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.192.0.1','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2','L')]).
% 202.95/203.44 cnf('0.192.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(join(X4,X2),meet(X1,meet(X2,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.192.0.2']),
% 202.95/203.44 [weight('<9,168,24,[1,0,0,3]>')]).
% 202.95/203.44 cnf('0.192.1.1',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.192.1.0','0.170.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.192.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)) ),
% 202.95/203.44 inference(activate,[status(thm)],['0.192.1.1']),
% 202.95/203.44 [equation_5]).
% 202.95/203.44 cnf('0.195.0.0',plain,
% 202.95/203.44 ( join(join(X1,meet(X2,X3)),join(X4,X2)) = join(X4,join(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.177.2.0','0.60.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.195.0.1',plain,
% 202.95/203.44 ( join(X1,join(meet(X2,X3),join(X4,X2))) = join(X4,join(X2,X1)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.195.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.195.1.0',plain,
% 202.95/203.44 ( join(X1,join(meet(X2,X3),join(X4,X2))) = join(X4,join(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.195.0.1']),
% 202.95/203.44 [weight('<9,177,60,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.195.1.1',plain,
% 202.95/203.44 ( join(X1,join(X2,join(meet(X2,X3),X4))) = join(X4,join(X2,X1)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.195.1.0','0.177.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.195.1.2',plain,
% 202.95/203.44 ( join(X1,join(X2,X4)) = join(X4,join(X2,X1)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.195.1.1','0.47.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.195.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(X3,join(X2,X1)) ),
% 202.95/203.44 inference(activate,[status(thm)],['0.195.1.2']),
% 202.95/203.44 [equation_6]).
% 202.95/203.44 cnf('0.197.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X1,X2))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.104.2.0','0.179.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.197.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = meet(X1,join(meet(X3,X2),meet(X1,X2))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.197.0.0']),
% 202.95/203.44 [weight('<9,179,104,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.197.2.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X2,X3),meet(X1,X3))) = meet(X1,X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.197.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_191]).
% 202.95/203.44 cnf('0.198.0.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.101.2.0','0.180.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.198.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.198.0.0']),
% 202.95/203.44 [weight('<9,180,101,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.198.2.0',plain,
% 202.95/203.44 ( join(X1,meet(join(X1,X2),join(X2,X3))) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.198.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_192]).
% 202.95/203.44 cnf('0.212.0.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = join(X1,meet(join(meet(X2,X3),X1),X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.190.2.0','0.197.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.212.1.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = join(X1,meet(join(meet(X2,X3),X1),X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.212.0.0']),
% 202.95/203.44 [weight('<9,197,190,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.212.1.1',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = join(X1,meet(X3,join(meet(X2,X3),X1))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.212.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2','L')]).
% 202.95/203.44 cnf('0.212.2.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,join(meet(X3,X2),X1))) = join(X1,meet(X3,X2)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.212.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_206]).
% 202.95/203.44 cnf('0.217.0.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.217.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.217.0.0']),
% 202.95/203.44 [weight('<10,8,7,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.217.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)) ),
% 202.95/203.44 inference(activate,[status(thm)],['0.217.1.0']),
% 202.95/203.44 [equation_7]).
% 202.95/203.44 cnf('0.218.0.0',plain,
% 202.95/203.44 ( meet(meet(X1,join(X2,X3)),meet(X4,X2)) = meet(X4,meet(X2,X1)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.217.2.0','0.58.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.218.0.1',plain,
% 202.95/203.44 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.218.0.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.218.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(X4,meet(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.218.0.1']),
% 202.95/203.44 [weight('<9,217,58,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.218.1.1',plain,
% 202.95/203.44 ( meet(X1,meet(X2,meet(join(X2,X3),X4))) = meet(X4,meet(X2,X1)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.218.1.0','0.217.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.218.1.2',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X4)) = meet(X4,meet(X2,X1)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.218.1.1','0.46.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.218.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(X3,meet(X2,X1)) ),
% 202.95/203.44 inference(activate,[status(thm)],['0.218.1.2']),
% 202.95/203.44 [equation_8]).
% 202.95/203.44 cnf('0.229.0.0',plain,
% 202.95/203.44 ( one = join(X1,join(X2,complement(meet(X3,join(X1,X2))))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.45.2.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.229.1.0',plain,
% 202.95/203.44 ( one = join(X1,join(X2,complement(meet(X3,join(X1,X2))))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.229.0.0']),
% 202.95/203.44 [weight('<10,45,12,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.229.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,complement(meet(X3,join(X1,X2))))) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.229.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_221]).
% 202.95/203.44 cnf('0.231.0.0',plain,
% 202.95/203.44 ( zero = meet(join(meet(X1,X2),X3),complement(join(X1,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.42.2.0','0.47.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.1','L')]).
% 202.95/203.44 cnf('0.231.1.0',plain,
% 202.95/203.44 ( zero = meet(join(meet(X1,X2),X3),complement(join(X1,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.231.0.0']),
% 202.95/203.44 [weight('<10,47,42,[0,0,0,3]>')]).
% 202.95/203.44 cnf('0.231.1.1',plain,
% 202.95/203.44 ( zero = meet(complement(join(X1,X3)),join(meet(X1,X2),X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.231.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.231.2.0',plain,
% 202.95/203.44 ( meet(complement(join(X1,X2)),join(meet(X1,X3),X2)) = zero ),
% 202.95/203.44 inference(orient,[status(thm)],['0.231.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_223]).
% 202.95/203.44 cnf('0.237.0.0',plain,
% 202.95/203.44 ( one = join(meet(X1,join(X2,X3)),complement(meet(X3,X1))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.45.2.0','0.63.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.1','L')]).
% 202.95/203.44 cnf('0.237.1.0',plain,
% 202.95/203.44 ( one = join(meet(X1,join(X2,X3)),complement(meet(X3,X1))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.237.0.0']),
% 202.95/203.44 [weight('<10,63,45,[0,0,0,3]>')]).
% 202.95/203.44 cnf('0.237.1.1',plain,
% 202.95/203.44 ( one = join(complement(meet(X3,X1)),meet(X1,join(X2,X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.237.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.237.2.0',plain,
% 202.95/203.44 ( join(complement(meet(X1,X2)),meet(X2,join(X3,X1))) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.237.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_229]).
% 202.95/203.44 cnf('0.320.0.0',plain,
% 202.95/203.44 ( zero = meet(complement(X1),join(meet(X1,X2),meet(X1,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.231.2.0','0.4.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1.1','L')]).
% 202.95/203.44 cnf('0.320.1.0',plain,
% 202.95/203.44 ( zero = meet(complement(X1),join(meet(X1,X2),meet(X1,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.320.0.0']),
% 202.95/203.44 [weight('<10,231,4,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.320.2.0',plain,
% 202.95/203.44 ( meet(complement(X1),join(meet(X1,X2),meet(X1,X3))) = zero ),
% 202.95/203.44 inference(orient,[status(thm)],['0.320.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_312]).
% 202.95/203.44 cnf('0.341.0.0',plain,
% 202.95/203.44 ( join(join(X1,X2),X3) = join(X1,join(X2,join(meet(join(X1,X2),X4),X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.47.2.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.341.0.1',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(X1,join(X2,join(meet(join(X1,X2),X4),X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.341.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.341.1.0',plain,
% 202.95/203.44 ( join(X1,join(X2,X3)) = join(X1,join(X2,join(meet(join(X1,X2),X4),X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.341.0.1']),
% 202.95/203.44 [weight('<11,47,12,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.341.2.0',plain,
% 202.95/203.44 ( join(X1,join(X2,join(meet(join(X1,X2),X3),X4))) = join(X1,join(X2,X4)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.341.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_333]).
% 202.95/203.44 cnf('0.346.0.0',plain,
% 202.95/203.44 ( meet(meet(X1,X2),X3) = meet(X1,meet(X2,meet(join(X4,meet(X1,X2)),X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.50.2.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.346.0.1',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(join(X4,meet(X1,X2)),X3))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.346.0.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.346.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(join(X4,meet(X1,X2)),X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.346.0.1']),
% 202.95/203.44 [weight('<11,50,8,[1,0,0,0]>')]).
% 202.95/203.44 cnf('0.346.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,meet(join(X3,meet(X1,X2)),X4))) = meet(X1,meet(X2,X4)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.346.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_338]).
% 202.95/203.44 cnf('0.361.0.0',plain,
% 202.95/203.44 ( join(meet(X1,join(X2,X3)),X4) = join(meet(X1,join(X2,X3)),join(meet(X2,X1),X4)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.49.2.0','0.58.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.1','L')]).
% 202.95/203.44 cnf('0.361.1.0',plain,
% 202.95/203.44 ( join(meet(X1,join(X2,X3)),X4) = join(meet(X1,join(X2,X3)),join(meet(X2,X1),X4)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.361.0.0']),
% 202.95/203.44 [weight('<11,58,49,[0,0,0,3]>')]).
% 202.95/203.44 cnf('0.361.1.1',plain,
% 202.95/203.44 ( join(meet(X1,join(X2,X3)),X4) = join(meet(X2,X1),join(X4,meet(X1,join(X2,X3)))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.361.1.0','0.177.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','R')]).
% 202.95/203.44 cnf('0.361.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X3,meet(X2,join(X1,X4)))) = join(meet(X2,join(X1,X4)),X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.361.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_353]).
% 202.95/203.44 cnf('0.362.0.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 202.95/203.44 cnf('0.362.0.1',plain,
% 202.95/203.44 ( meet(X1,join(meet(X2,join(X1,X3)),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.362.0.0','0.361.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.362.1.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X2,join(X1,X3)),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.362.0.1']),
% 202.95/203.44 [weight('<11,9,361,[0,0,0,0]>')]).
% 202.95/203.44 cnf('0.362.1.1',plain,
% 202.95/203.44 ( meet(X1,join(meet(X1,X3),meet(X2,join(X1,X3)))) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.362.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.362.2.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X1,X2),meet(X3,join(X1,X2)))) = join(meet(X1,X3),meet(X1,X2)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.362.1.1',theory(equality)]),
% 202.95/203.44 [u,rule_354]).
% 202.95/203.44 cnf('0.363.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,join(complement(X1),X3))) = meet(X1,join(meet(X1,join(complement(X1),X3)),meet(X2,one))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.362.2.0','0.33.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2.2','L')]).
% 202.95/203.44 cnf('0.363.0.1',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,join(complement(X1),X3))) = meet(X1,join(meet(X1,join(complement(X1),X3)),X2)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.363.0.0','0.15.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2.2','L')]).
% 202.95/203.44 cnf('0.363.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,join(complement(X1),X3))) = meet(X1,join(meet(X1,join(complement(X1),X3)),X2)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.363.0.1']),
% 202.95/203.44 [weight('<10,362,33,[1,0,0,8]>')]).
% 202.95/203.44 cnf('0.363.2.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X1,join(complement(X1),X2)),X3)) = join(meet(X1,X3),meet(X1,join(complement(X1),X2))) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.363.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_355]).
% 202.95/203.44 cnf('0.364.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,join(X3,complement(X1)))) = meet(X1,join(meet(X1,join(X3,complement(X1))),meet(X2,one))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.362.2.0','0.38.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2.2','L')]).
% 202.95/203.44 cnf('0.364.0.1',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,join(X3,complement(X1)))) = meet(X1,join(meet(X1,join(X3,complement(X1))),X2)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.364.0.0','0.15.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.2.2','L')]).
% 202.95/203.44 cnf('0.364.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,join(X3,complement(X1)))) = meet(X1,join(meet(X1,join(X3,complement(X1))),X2)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.364.0.1']),
% 202.95/203.44 [weight('<10,362,38,[1,0,0,8]>')]).
% 202.95/203.44 cnf('0.364.2.0',plain,
% 202.95/203.44 ( meet(X1,join(meet(X1,join(X2,complement(X1))),X3)) = join(meet(X1,X3),meet(X1,join(X2,complement(X1)))) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.364.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_356]).
% 202.95/203.44 cnf('0.367.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,join(complement(X1),X3))) = meet(X1,join(X2,meet(X1,join(complement(X1),X3)))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.363.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.367.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,join(complement(X1),X3))) = meet(X1,join(X2,meet(X1,join(complement(X1),X3)))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.367.0.0']),
% 202.95/203.44 [weight('<10,363,11,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.367.2.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,meet(X1,join(complement(X1),X3)))) = join(meet(X1,X2),meet(X1,join(complement(X1),X3))) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.367.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_359]).
% 202.95/203.44 cnf('0.372.0.0',plain,
% 202.95/203.44 ( join(X1,X2) = meet(join(X1,X2),join(X3,join(X1,join(X2,X4)))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.59.2.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2','L')]).
% 202.95/203.44 cnf('0.372.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = meet(join(X1,X2),join(X3,join(X1,join(X2,X4)))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.372.0.0']),
% 202.95/203.44 [weight('<11,59,12,[1,0,0,4]>')]).
% 202.95/203.44 cnf('0.372.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),join(X3,join(X1,join(X2,X4)))) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.372.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_364]).
% 202.95/203.44 cnf('0.377.0.0',plain,
% 202.95/203.44 ( meet(X1,X2) = join(meet(X1,X2),meet(X3,meet(X1,meet(X2,X4)))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.61.2.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2','L')]).
% 202.95/203.44 cnf('0.377.1.0',plain,
% 202.95/203.44 ( meet(X1,X2) = join(meet(X1,X2),meet(X3,meet(X1,meet(X2,X4)))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.377.0.0']),
% 202.95/203.44 [weight('<11,61,8,[1,0,0,4]>')]).
% 202.95/203.44 cnf('0.377.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X3,meet(X1,meet(X2,X4)))) = meet(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.377.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_369]).
% 202.95/203.44 cnf('0.473.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.51.2.0','0.130.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.473.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),X3) = meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.473.0.0']),
% 202.95/203.44 [weight('<11,130,51,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.473.2.0',plain,
% 202.95/203.44 ( meet(join(meet(X1,X2),X3),join(X1,join(X4,X3))) = join(meet(X1,X2),X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.473.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_465]).
% 202.95/203.44 cnf('0.514.0.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.140.2.0','0.104.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.514.1.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.514.0.0']),
% 202.95/203.44 [weight('<11,140,104,[1,0,0,4]>')]).
% 202.95/203.44 cnf('0.514.1.1',plain,
% 202.95/203.44 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X3),meet(X1,join(X2,meet(X1,X3)))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.514.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.514.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))) = meet(X1,join(X3,meet(X1,X2))) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.514.1.1',theory(equality)]),
% 202.95/203.44 [x,rule_506]).
% 202.95/203.44 cnf('0.532.0.0',plain,
% 202.95/203.44 ( meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)) = join(join(meet(X1,X2),meet(X1,X3)),meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.147.2.0','0.103.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.532.0.1',plain,
% 202.95/203.44 ( meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)) = join(meet(X1,X2),join(meet(X1,X3),meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.532.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.532.0.2',plain,
% 202.95/203.44 ( meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.532.0.1','0.101.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.532.1.0',plain,
% 202.95/203.44 ( meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.532.0.2']),
% 202.95/203.44 [weight('<11,147,103,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.532.2.0',plain,
% 202.95/203.44 ( meet(join(meet(X1,X2),meet(X1,X3)),join(X1,X4)) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.532.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_524]).
% 202.95/203.44 cnf('0.546.0.0',plain,
% 202.95/203.44 ( 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))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.147.2.0','0.149.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.546.0.1',plain,
% 202.95/203.44 ( 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))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.546.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.546.0.2',plain,
% 202.95/203.44 ( 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)))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.546.0.1','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.546.0.3',plain,
% 202.95/203.44 ( meet(join(X1,meet(X2,X3)),join(X2,join(X1,X4))) = join(X1,meet(X2,X3)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.546.0.2','0.101.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.546.1.0',plain,
% 202.95/203.44 ( meet(join(X1,meet(X2,X3)),join(X2,join(X1,X4))) = join(X1,meet(X2,X3)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.546.0.3']),
% 202.95/203.44 [weight('<11,149,147,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.546.2.0',plain,
% 202.95/203.44 ( meet(join(X1,meet(X2,X3)),join(X2,join(X1,X4))) = join(X1,meet(X2,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.546.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_538]).
% 202.95/203.44 cnf('0.568.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X3,meet(X2,meet(X1,X4)))) = join(meet(X1,X2),join(X3,meet(X2,X1))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.52.2.0','0.156.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2','L')]).
% 202.95/203.44 cnf('0.568.0.1',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X3,meet(X2,meet(X1,X4)))) = join(meet(X1,X2),X3) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.568.0.0','0.152.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.568.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X3,meet(X2,meet(X1,X4)))) = join(meet(X1,X2),X3) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.568.0.1']),
% 202.95/203.44 [weight('<11,156,52,[0,0,0,4]>')]).
% 202.95/203.44 cnf('0.568.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),join(X3,meet(X2,meet(X1,X4)))) = join(meet(X1,X2),X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.568.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_560]).
% 202.95/203.44 cnf('0.642.0.0',plain,
% 202.95/203.44 ( meet(join(X1,meet(X2,X3)),meet(X4,join(X1,X2))) = meet(join(X1,meet(X2,X3)),meet(X4,join(X1,meet(X2,X3)))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.56.2.0','0.184.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2','L')]).
% 202.95/203.44 cnf('0.642.0.1',plain,
% 202.95/203.44 ( meet(join(X1,meet(X2,X3)),meet(X4,join(X1,X2))) = meet(join(X1,meet(X2,X3)),X4) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.642.0.0','0.31.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.642.1.0',plain,
% 202.95/203.44 ( meet(join(X1,meet(X2,X3)),meet(X4,join(X1,X2))) = meet(join(X1,meet(X2,X3)),X4) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.642.0.1']),
% 202.95/203.44 [weight('<11,184,56,[0,0,0,4]>')]).
% 202.95/203.44 cnf('0.642.1.1',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X4,join(X1,meet(X2,X3)))) = meet(join(X1,meet(X2,X3)),X4) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.642.1.0','0.218.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.642.2.0',plain,
% 202.95/203.44 ( meet(join(X1,X2),meet(X3,join(X1,meet(X2,X4)))) = meet(join(X1,meet(X2,X4)),X3) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.642.1.1',theory(equality)]),
% 202.95/203.44 [u,rule_634]).
% 202.95/203.44 cnf('0.713.0.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X3,join(X2,X4)))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.198.2.0','0.175.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2','L')]).
% 202.95/203.44 cnf('0.713.1.0',plain,
% 202.95/203.44 ( join(X1,X2) = join(X1,meet(join(X1,X2),join(X3,join(X2,X4)))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.713.0.0']),
% 202.95/203.44 [weight('<11,198,175,[1,0,0,6]>')]).
% 202.95/203.44 cnf('0.713.2.0',plain,
% 202.95/203.44 ( join(X1,meet(join(X1,X2),join(X3,join(X2,X4)))) = join(X1,X2) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.713.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_704]).
% 202.95/203.44 cnf('0.878.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X3,X1)) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.473.2.0','0.62.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.878.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X3,X1)) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.878.0.0']),
% 202.95/203.44 [weight('<11,473,62,[1,0,0,6]>')]).
% 202.95/203.44 cnf('0.878.2.0',plain,
% 202.95/203.44 ( meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) = join(meet(X1,X2),meet(X3,X1)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.878.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_866]).
% 202.95/203.44 cnf('0.889.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,join(meet(X3,X1),meet(X1,X2)))) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.532.2.0','0.212.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.889.0.1',plain,
% 202.95/203.44 ( meet(X1,join(meet(X3,X1),meet(X1,X2))) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.889.0.0','0.514.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.889.0.2',plain,
% 202.95/203.44 ( join(meet(X1,X3),meet(X1,X2)) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.889.0.1','0.160.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.889.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X3),meet(X1,X2)) = meet(join(meet(X1,X2),meet(X3,X1)),join(X1,X4)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.889.0.2']),
% 202.95/203.44 [weight('<11,532,212,[1,0,0,1]>')]).
% 202.95/203.44 cnf('0.889.1.1',plain,
% 202.95/203.44 ( join(meet(X1,X3),meet(X1,X2)) = join(meet(X1,X2),meet(X3,X1)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.889.1.0','0.878.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.889.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,X3)) = join(meet(X1,X3),meet(X2,X1)) ),
% 202.95/203.44 inference(activate,[status(thm)],['0.889.1.1']),
% 202.95/203.44 [equation_13]).
% 202.95/203.44 cnf('0.929.0.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),join(X3,X4))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.713.2.0','0.49.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2','L')]).
% 202.95/203.44 cnf('0.929.1.0',plain,
% 202.95/203.44 ( join(X1,meet(X2,X3)) = join(X1,meet(join(X1,meet(X2,X3)),join(X3,X4))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.929.0.0']),
% 202.95/203.44 [weight('<11,713,49,[1,0,0,6]>')]).
% 202.95/203.44 cnf('0.929.2.0',plain,
% 202.95/203.44 ( join(X1,meet(join(X1,meet(X2,X3)),join(X3,X4))) = join(X1,meet(X2,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.929.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_915]).
% 202.95/203.44 cnf('0.1380.0.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(meet(X1,join(X2,complement(X1))),X3),X4)) = meet(join(meet(X1,X3),meet(X1,join(X2,complement(X1)))),X4) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.8.2.0','0.364.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.1380.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(meet(X1,join(X2,complement(X1))),X3),X4)) = meet(join(meet(X1,X3),meet(X1,join(X2,complement(X1)))),X4) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.1380.0.0']),
% 202.95/203.44 [weight('<12,364,8,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.1380.2.0',plain,
% 202.95/203.44 ( meet(join(meet(X1,X2),meet(X1,join(X3,complement(X1)))),X4) = meet(X1,meet(join(meet(X1,join(X3,complement(X1))),X2),X4)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.1380.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_1366]).
% 202.95/203.44 cnf('0.1580.0.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(meet(X1,join(X2,complement(X1))),X3),X4)) = meet(join(meet(X3,X1),meet(X1,join(X2,complement(X1)))),X4) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.1380.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1.1','L')]).
% 202.95/203.44 cnf('0.1580.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(join(meet(X1,join(X2,complement(X1))),X3),X4)) = meet(join(meet(X3,X1),meet(X1,join(X2,complement(X1)))),X4) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.1580.0.0']),
% 202.95/203.44 [weight('<12,1380,7,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.1580.2.0',plain,
% 202.95/203.44 ( meet(join(meet(X1,X2),meet(X2,join(X3,complement(X2)))),X4) = meet(X2,meet(join(meet(X2,join(X3,complement(X2))),X1),X4)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.1580.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_1566]).
% 202.95/203.44 cnf('0.2068.0.0',plain,
% 202.95/203.44 ( meet(meet(X1,join(X2,X3)),meet(X4,X2)) = meet(join(meet(X1,join(X2,X3)),X5),meet(X4,meet(X2,X1))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.167.2.0','0.58.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2','L')]).
% 202.95/203.44 cnf('0.2068.0.1',plain,
% 202.95/203.44 ( meet(X1,meet(join(X2,X3),meet(X4,X2))) = meet(join(meet(X1,join(X2,X3)),X5),meet(X4,meet(X2,X1))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2068.0.0','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.2068.0.2',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X4)) = meet(join(meet(X1,join(X2,X3)),X5),meet(X4,meet(X2,X1))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2068.0.1','0.107.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.2068.1.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X4)) = meet(join(meet(X1,join(X2,X3)),X5),meet(X4,meet(X2,X1))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.2068.0.2']),
% 202.95/203.44 [weight('<13,167,58,[1,0,0,6]>')]).
% 202.95/203.44 cnf('0.2068.1.1',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X4)) = meet(meet(X2,X1),meet(X4,join(meet(X1,join(X2,X3)),X5))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2068.1.0','0.218.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.2068.1.2',plain,
% 202.95/203.44 ( meet(X1,meet(X2,X4)) = meet(X2,meet(X1,meet(X4,join(meet(X1,join(X2,X3)),X5)))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2068.1.1','0.8.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.2068.2.0',plain,
% 202.95/203.44 ( meet(X1,meet(X2,meet(X3,join(meet(X2,join(X1,X4)),X5)))) = meet(X2,meet(X1,X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.2068.1.2',theory(equality)]),
% 202.95/203.44 [x,rule_2054]).
% 202.95/203.44 cnf('0.2784.0.0',plain,
% 202.95/203.44 ( join(meet(X1,complement(meet(X2,X1))),meet(X1,join(complement(X1),X2))) = meet(X1,one) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.367.2.0','0.237.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.2784.0.1',plain,
% 202.95/203.44 ( join(meet(X1,complement(meet(X2,X1))),meet(X1,join(complement(X1),X2))) = X1 ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2784.0.0','0.15.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.2784.1.0',plain,
% 202.95/203.44 ( join(meet(X1,complement(meet(X2,X1))),meet(X1,join(complement(X1),X2))) = X1 ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.2784.0.1']),
% 202.95/203.44 [weight('<13,367,237,[1,0,0,2]>')]).
% 202.95/203.44 cnf('0.2784.1.1',plain,
% 202.95/203.44 ( join(meet(X1,join(complement(X1),X2)),meet(complement(meet(X2,X1)),X1)) = X1 ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2784.1.0','0.889.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.2784.1.2',plain,
% 202.95/203.44 ( join(meet(X1,join(complement(X1),X2)),meet(X1,complement(meet(X2,X1)))) = X1 ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2784.1.1','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.2784.2.0',plain,
% 202.95/203.44 ( join(meet(X1,join(complement(X1),X2)),meet(X1,complement(meet(X2,X1)))) = X1 ),
% 202.95/203.44 inference(orient,[status(thm)],['0.2784.1.2',theory(equality)]),
% 202.95/203.44 [u,rule_2768]).
% 202.95/203.44 cnf('0.2785.0.0',plain,
% 202.95/203.44 ( join(join(complement(X1),X2),meet(X1,complement(meet(X2,X1)))) = join(join(complement(X1),X2),X1) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.49.2.0','0.2784.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.2785.0.1',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,meet(X1,complement(meet(X2,X1))))) = join(join(complement(X1),X2),X1) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2785.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('L','L')]).
% 202.95/203.44 cnf('0.2785.0.2',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,meet(X1,complement(meet(X2,X1))))) = join(complement(X1),join(X2,X1)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2785.0.1','0.12.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.2785.1.0',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,meet(X1,complement(meet(X2,X1))))) = join(complement(X1),join(X2,X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.2785.0.2']),
% 202.95/203.44 [weight('<11,2784,49,[0,0,0,2]>')]).
% 202.95/203.44 cnf('0.2785.1.1',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,meet(X1,complement(meet(X2,X1))))) = join(X1,join(X2,complement(X1))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2785.1.0','0.195.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.2785.1.2',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,meet(X1,complement(meet(X2,X1))))) = one ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.2785.1.1','0.38.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.2785.2.0',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,meet(X1,complement(meet(X2,X1))))) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.2785.1.2',theory(equality)]),
% 202.95/203.44 [u,rule_2769]).
% 202.95/203.44 cnf('0.2786.0.0',plain,
% 202.95/203.44 ( one = join(complement(X1),join(X2,meet(X1,complement(meet(X1,X2))))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.2785.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2.2.1','L')]).
% 202.95/203.44 cnf('0.2786.1.0',plain,
% 202.95/203.44 ( one = join(complement(X1),join(X2,meet(X1,complement(meet(X1,X2))))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.2786.0.0']),
% 202.95/203.44 [weight('<11,2785,7,[1,0,0,8]>')]).
% 202.95/203.44 cnf('0.2786.2.0',plain,
% 202.95/203.44 ( join(complement(X1),join(X2,meet(X1,complement(meet(X1,X2))))) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.2786.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_2770]).
% 202.95/203.44 cnf('0.2804.0.0',plain,
% 202.95/203.44 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X2,X1),X3)),join(X2,join(X1,X4))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.372.2.0','0.341.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.2804.1.0',plain,
% 202.95/203.44 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X2,X1),X3)),join(X2,join(X1,X4))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.2804.0.0']),
% 202.95/203.44 [weight('<13,372,341,[1,0,0,4]>')]).
% 202.95/203.44 cnf('0.2804.2.0',plain,
% 202.95/203.44 ( meet(join(X1,meet(join(X2,X1),X3)),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.2804.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_2788]).
% 202.95/203.44 cnf('0.2838.0.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X3,X1))),meet(X3,meet(X1,X4))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.377.2.0','0.346.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2','L')]).
% 202.95/203.44 cnf('0.2838.1.0',plain,
% 202.95/203.44 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X3,X1))),meet(X3,meet(X1,X4))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.2838.0.0']),
% 202.95/203.44 [weight('<13,377,346,[1,0,0,4]>')]).
% 202.95/203.44 cnf('0.2838.2.0',plain,
% 202.95/203.44 ( join(meet(X1,join(X2,meet(X3,X1))),meet(X3,meet(X1,X4))) = meet(X1,join(X2,meet(X3,X1))) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.2838.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_2822]).
% 202.95/203.44 cnf('0.4938.0.0',plain,
% 202.95/203.44 ( one = join(complement(X1),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.2786.2.0','0.25.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.2.2.2.1','L')]).
% 202.95/203.44 cnf('0.4938.1.0',plain,
% 202.95/203.44 ( one = join(complement(X1),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.4938.0.0']),
% 202.95/203.44 [weight('<13,2786,25,[1,0,0,8]>')]).
% 202.95/203.44 cnf('0.4938.2.0',plain,
% 202.95/203.44 ( join(complement(X1),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))) = one ),
% 202.95/203.44 inference(orient,[status(thm)],['0.4938.1.0',theory(equality)]),
% 202.95/203.44 [x,rule_4895]).
% 202.95/203.44 cnf('0.4939.0.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = ifeq(one,one,ifeq(meet(complement(X1),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))),zero,complement(complement(X1)),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.6.2.0','0.4938.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.4939.0.1',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = ifeq(meet(complement(X1),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))),zero,complement(complement(X1)),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.4939.0.0','0.5.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.4939.0.2',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = ifeq(zero,zero,complement(complement(X1)),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.4939.0.1','0.320.2.0',theory(equality)]),
% 202.95/203.44 [pos('R.1','L')]).
% 202.95/203.44 cnf('0.4939.0.3',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = complement(complement(X1)) ),
% 202.95/203.44 inference(reduction,[status(thm)],['0.4939.0.2','0.5.2.0',theory(equality)]),
% 202.95/203.44 [pos('R','L')]).
% 202.95/203.44 cnf('0.4939.1.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = complement(complement(X1)) ),
% 202.95/203.44 inference(weigh,[status(thm)],['0.4939.0.3']),
% 202.95/203.44 [weight('<10,4938,6,[0,0,0,1]>')]).
% 202.95/203.44 cnf('0.4939.2.0',plain,
% 202.95/203.44 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = complement(complement(X1)) ),
% 202.95/203.44 inference(orient,[status(thm)],['0.4939.1.0',theory(equality)]),
% 202.95/203.44 [u,rule_4896]).
% 202.95/203.44 cnf('0.4940.0.0',plain,
% 202.95/203.44 ( complement(complement(X1)) = join(X1,meet(X1,complement(meet(X1,X1)))) ),
% 202.95/203.44 inference(cp,[status(thm)],['0.4939.2.0','0.1.2.0',theory(equality)]),
% 202.95/203.44 [pos('L.1','L')]).
% 202.95/203.44 cnf('0.4940.0.1',plain,
% 202.95/203.45 ( complement(complement(X1)) = X1 ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.4940.0.0','0.4.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.4940.1.0',plain,
% 202.95/203.45 ( complement(complement(X1)) = X1 ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.4940.0.1']),
% 202.95/203.45 [weight('<3,4939,1,[1,0,0,1]>')]).
% 202.95/203.45 cnf('0.4940.2.0',plain,
% 202.95/203.45 ( complement(complement(X1)) = X1 ),
% 202.95/203.45 inference(orient,[status(thm)],['0.4940.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_4897]).
% 202.95/203.45 cnf('0.4943.0.0',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = complement(complement(X1)) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.4939.2.0'])).
% 202.95/203.45 cnf('0.4943.0.1',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = X1 ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.4943.0.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.4943.1.0',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = X1 ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.4943.0.1']),
% 202.95/203.45 [weight('<10,4939,4940,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.4943.2.0',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = X1 ),
% 202.95/203.45 inference(orient,[status(thm)],['0.4943.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_4900]).
% 202.95/203.45 cnf('0.4944.0.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.49.2.0','0.4943.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.4944.1.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.4944.0.0']),
% 202.95/203.45 [weight('<8,4943,49,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.4944.2.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.4944.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_4901]).
% 202.95/203.45 cnf('0.4945.0.0',plain,
% 202.95/203.45 ( join(X1,X2) = join(X1,meet(X2,complement(meet(X1,X2)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.4944.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2.1','L')]).
% 202.95/203.45 cnf('0.4945.1.0',plain,
% 202.95/203.45 ( join(X1,X2) = join(X1,meet(X2,complement(meet(X1,X2)))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.4945.0.0']),
% 202.95/203.45 [weight('<8,4944,7,[1,0,0,5]>')]).
% 202.95/203.45 cnf('0.4945.2.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,complement(meet(X1,X2)))) = join(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.4945.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_4902]).
% 202.95/203.45 cnf('0.4946.0.0',plain,
% 202.95/203.45 ( join(X1,join(X1,X2)) = join(X1,meet(join(X1,X2),complement(X1))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.4945.2.0','0.2.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2.1','L')]).
% 202.95/203.45 cnf('0.4946.0.1',plain,
% 202.95/203.45 ( join(X1,X2) = join(X1,meet(join(X1,X2),complement(X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.4946.0.0','0.27.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.4946.1.0',plain,
% 202.95/203.45 ( join(X1,X2) = join(X1,meet(join(X1,X2),complement(X1))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.4946.0.1']),
% 202.95/203.45 [weight('<8,4945,2,[1,0,0,5]>')]).
% 202.95/203.45 cnf('0.4946.1.1',plain,
% 202.95/203.45 ( join(X1,X2) = join(X1,meet(complement(X1),join(X1,X2))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.4946.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2','L')]).
% 202.95/203.45 cnf('0.4946.2.0',plain,
% 202.95/203.45 ( join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.4946.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_4903]).
% 202.95/203.45 cnf('0.4947.0.0',plain,
% 202.95/203.45 ( join(X1,join(X2,X1)) = join(X1,meet(join(X2,X1),complement(X1))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.4945.2.0','0.26.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2.1','L')]).
% 202.95/203.45 cnf('0.4947.0.1',plain,
% 202.95/203.45 ( join(X1,X2) = join(X1,meet(join(X2,X1),complement(X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.4947.0.0','0.30.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.4947.1.0',plain,
% 202.95/203.45 ( join(X1,X2) = join(X1,meet(join(X2,X1),complement(X1))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.4947.0.1']),
% 202.95/203.45 [weight('<8,4945,26,[1,0,0,5]>')]).
% 202.95/203.45 cnf('0.4947.1.1',plain,
% 202.95/203.45 ( join(X1,X2) = join(X1,meet(complement(X1),join(X2,X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.4947.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2','L')]).
% 202.95/203.45 cnf('0.4947.2.0',plain,
% 202.95/203.45 ( join(X1,meet(complement(X1),join(X2,X1))) = join(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.4947.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_4904]).
% 202.95/203.45 cnf('0.5029.0.0',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = join(meet(X1,X2),meet(X1,join(complement(meet(X1,X2)),X3))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.929.2.0','0.4943.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5029.0.1',plain,
% 202.95/203.45 ( X1 = join(meet(X1,X2),meet(X1,join(complement(meet(X1,X2)),X3))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5029.0.0','0.4943.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5029.1.0',plain,
% 202.95/203.45 ( X1 = join(meet(X1,X2),meet(X1,join(complement(meet(X1,X2)),X3))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5029.0.1']),
% 202.95/203.45 [weight('<12,4943,929,[0,0,0,3]>')]).
% 202.95/203.45 cnf('0.5029.2.0',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,join(complement(meet(X1,X2)),X3))) = X1 ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5029.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_4986]).
% 202.95/203.45 cnf('0.5355.0.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.2804.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.2.1','L')]).
% 202.95/203.45 cnf('0.5355.1.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,X1),X3)) = meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5355.0.0']),
% 202.95/203.45 [weight('<13,2804,11,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5355.2.0',plain,
% 202.95/203.45 ( meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5355.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5312]).
% 202.95/203.45 cnf('0.5358.0.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X3,meet(X1,X4))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.2838.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.2.2','L')]).
% 202.95/203.45 cnf('0.5358.1.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,join(X2,meet(X1,X3))),meet(X3,meet(X1,X4))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5358.0.0']),
% 202.95/203.45 [weight('<13,2838,7,[1,0,0,5]>')]).
% 202.95/203.45 cnf('0.5358.2.0',plain,
% 202.95/203.45 ( join(meet(X1,join(X2,meet(X1,X3))),meet(X3,meet(X1,X4))) = meet(X1,join(X2,meet(X3,X1))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5358.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5315]).
% 202.95/203.45 cnf('0.5579.0.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(X1,X2))) = ifeq(join(X2,X1),one,ifeq(meet(X2,meet(X1,complement(meet(X1,X2)))),zero,complement(X2),meet(X1,complement(meet(X1,X2)))),meet(X1,complement(meet(X1,X2)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.6.2.0','0.4944.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5579.0.1',plain,
% 202.95/203.45 ( meet(X1,complement(meet(X1,X2))) = ifeq(join(X2,X1),one,ifeq(zero,zero,complement(X2),meet(X1,complement(meet(X1,X2)))),meet(X1,complement(meet(X1,X2)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5579.0.0','0.70.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.3.1','L')]).
% 202.95/203.45 cnf('0.5579.0.2',plain,
% 202.95/203.45 ( meet(X1,complement(meet(X1,X2))) = ifeq(join(X2,X1),one,complement(X2),meet(X1,complement(meet(X1,X2)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5579.0.1','0.5.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.3','L')]).
% 202.95/203.45 cnf('0.5579.1.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(X1,X2))) = ifeq(join(X2,X1),one,complement(X2),meet(X1,complement(meet(X1,X2)))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5579.0.2']),
% 202.95/203.45 [weight('<13,4944,6,[0,0,0,1]>')]).
% 202.95/203.45 cnf('0.5579.2.0',plain,
% 202.95/203.45 ( ifeq(join(X1,X2),one,complement(X1),meet(X2,complement(meet(X2,X1)))) = meet(X2,complement(meet(X2,X1))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5579.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5508]).
% 202.95/203.45 cnf('0.5581.0.0',plain,
% 202.95/203.45 ( meet(join(complement(X1),X2),complement(meet(join(complement(X1),X2),X1))) = ifeq(one,one,complement(X1),meet(join(complement(X1),X2),complement(meet(join(complement(X1),X2),X1)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5579.2.0','0.33.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5581.0.1',plain,
% 202.95/203.45 ( meet(join(complement(X1),X2),complement(meet(join(complement(X1),X2),X1))) = complement(X1) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5581.0.0','0.5.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5581.1.0',plain,
% 202.95/203.45 ( meet(join(complement(X1),X2),complement(meet(join(complement(X1),X2),X1))) = complement(X1) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5581.0.1']),
% 202.95/203.45 [weight('<12,5579,33,[1,0,0,1]>')]).
% 202.95/203.45 cnf('0.5581.1.1',plain,
% 202.95/203.45 ( meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2)))) = complement(X1) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5581.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5581.2.0',plain,
% 202.95/203.45 ( meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2)))) = complement(X1) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5581.1.1',theory(equality)]),
% 202.95/203.45 [u,rule_5510]).
% 202.95/203.45 cnf('0.5582.0.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(X2,join(complement(X2),X1)))) = meet(X1,complement(X2)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.50.2.0','0.5581.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5582.1.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(X2,join(complement(X2),X1)))) = meet(X1,complement(X2)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5582.0.0']),
% 202.95/203.45 [weight('<9,5581,50,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.5582.2.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(X2,join(complement(X2),X1)))) = meet(X1,complement(X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5582.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5511]).
% 202.95/203.45 cnf('0.5583.0.0',plain,
% 202.95/203.45 ( join(meet(join(complement(X1),X2),X3),meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))) = meet(join(complement(X1),X2),join(complement(X1),meet(X3,join(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.362.2.0','0.5581.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5583.0.1',plain,
% 202.95/203.45 ( join(meet(join(complement(X1),X2),X3),complement(X1)) = meet(join(complement(X1),X2),join(complement(X1),meet(X3,join(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5583.0.0','0.5581.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5583.0.2',plain,
% 202.95/203.45 ( join(meet(join(complement(X1),X2),X3),complement(X1)) = meet(join(complement(X1),X2),join(complement(X1),meet(X3,join(complement(X1),join(X2,complement(meet(X1,join(complement(X1),X2)))))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5583.0.1','0.12.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.2.2','L')]).
% 202.95/203.45 cnf('0.5583.0.3',plain,
% 202.95/203.45 ( join(meet(join(complement(X1),X2),X3),complement(X1)) = meet(join(complement(X1),X2),join(complement(X1),meet(X3,one))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5583.0.2','0.229.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.2.2','L')]).
% 202.95/203.45 cnf('0.5583.0.4',plain,
% 202.95/203.45 ( join(meet(join(complement(X1),X2),X3),complement(X1)) = meet(join(complement(X1),X2),join(complement(X1),X3)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5583.0.3','0.15.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.2','L')]).
% 202.95/203.45 cnf('0.5583.1.0',plain,
% 202.95/203.45 ( join(meet(join(complement(X1),X2),X3),complement(X1)) = meet(join(complement(X1),X2),join(complement(X1),X3)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5583.0.4']),
% 202.95/203.45 [weight('<9,5581,362,[0,0,0,3]>')]).
% 202.95/203.45 cnf('0.5583.1.1',plain,
% 202.95/203.45 ( join(complement(X1),meet(join(complement(X1),X2),X3)) = meet(join(complement(X1),X2),join(complement(X1),X3)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5583.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5583.2.0',plain,
% 202.95/203.45 ( meet(join(complement(X1),X2),join(complement(X1),X3)) = join(complement(X1),meet(join(complement(X1),X2),X3)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5583.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_5512]).
% 202.95/203.45 cnf('0.5584.0.0',plain,
% 202.95/203.45 ( join(complement(complement(X1)),meet(join(complement(complement(X1)),X2),X3)) = meet(join(X1,X2),join(complement(complement(X1)),X3)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5583.2.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.1','L')]).
% 202.95/203.45 cnf('0.5584.0.1',plain,
% 202.95/203.45 ( join(X1,meet(join(complement(complement(X1)),X2),X3)) = meet(join(X1,X2),join(complement(complement(X1)),X3)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5584.0.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5584.0.2',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(complement(complement(X1)),X3)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5584.0.1','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1.1','L')]).
% 202.95/203.45 cnf('0.5584.0.3',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5584.0.2','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.1','L')]).
% 202.95/203.45 cnf('0.5584.1.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X1,X3)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5584.0.3']),
% 202.95/203.45 [weight('<7,5583,4940,[1,0,0,2]>')]).
% 202.95/203.45 cnf('0.5584.2.0',plain,
% 202.95/203.45 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5584.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5513]).
% 202.95/203.45 cnf('0.5585.0.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X2,X1),join(X1,X3)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5584.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5585.1.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X2,X1),join(X1,X3)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5585.0.0']),
% 202.95/203.45 [weight('<7,5584,11,[1,0,0,1]>')]).
% 202.95/203.45 cnf('0.5585.2.0',plain,
% 202.95/203.45 ( meet(join(X1,X2),join(X2,X3)) = join(X2,meet(join(X2,X1),X3)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5585.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5514]).
% 202.95/203.45 cnf('0.5586.0.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X3,X1)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5584.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5586.1.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X2),join(X3,X1)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5586.0.0']),
% 202.95/203.45 [weight('<7,5584,11,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5586.2.0',plain,
% 202.95/203.45 ( meet(join(X1,X2),join(X3,X1)) = join(X1,meet(join(X1,X2),X3)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5586.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5515]).
% 202.95/203.45 cnf('0.5587.0.0',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(join(meet(X1,X2),meet(X1,join(complement(meet(X1,X2)),X3))),X4)) = meet(X1,join(meet(X1,X2),X4)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5584.2.0','0.5029.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5587.0.1',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,X4)) = meet(X1,join(meet(X1,X2),X4)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5587.0.0','0.5029.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5587.1.0',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,X4)) = meet(X1,join(meet(X1,X2),X4)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5587.0.1']),
% 202.95/203.45 [weight('<7,5584,5029,[1,0,0,1]>')]).
% 202.95/203.45 cnf('0.5587.2.0',plain,
% 202.95/203.45 ( meet(X1,join(meet(X1,X2),X3)) = join(meet(X1,X2),meet(X1,X3)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5587.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5516]).
% 202.95/203.45 cnf('0.5589.0.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X3),join(X2,X1)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5585.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5589.1.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = meet(join(X1,X3),join(X2,X1)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5589.0.0']),
% 202.95/203.45 [weight('<7,5585,7,[1,0,0,0]>')]).
% 202.95/203.45 cnf('0.5589.1.1',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(join(X1,X3),X2)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5589.1.0','0.5586.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5589.2.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(join(X1,X3),X2)) ),
% 202.95/203.45 inference(activate,[status(thm)],['0.5589.1.1']),
% 202.95/203.45 [equation_72]).
% 202.95/203.45 cnf('0.5591.0.0',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(join(meet(X1,X2),meet(X1,join(complement(meet(X1,X2)),X3))),X4)) = meet(X1,join(X4,meet(X1,X2))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5586.2.0','0.5029.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5591.0.1',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,X4)) = meet(X1,join(X4,meet(X1,X2))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5591.0.0','0.5029.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5591.1.0',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,X4)) = meet(X1,join(X4,meet(X1,X2))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5591.0.1']),
% 202.95/203.45 [weight('<7,5586,5029,[1,0,0,1]>')]).
% 202.95/203.45 cnf('0.5591.2.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,meet(X1,X3))) = join(meet(X1,X3),meet(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5591.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5519]).
% 202.95/203.45 cnf('0.5592.0.0',plain,
% 202.95/203.45 ( join(meet(X1,join(X2,meet(X1,X3))),meet(X3,meet(X1,X4))) = meet(X1,join(X2,meet(X3,X1))) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.5358.2.0'])).
% 202.95/203.45 cnf('0.5592.0.1',plain,
% 202.95/203.45 ( join(join(meet(X1,X3),meet(X1,X2)),meet(X3,meet(X1,X4))) = meet(X1,join(X2,meet(X3,X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5592.0.0','0.5591.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5592.0.2',plain,
% 202.95/203.45 ( join(meet(X1,X3),join(meet(X1,X2),meet(X3,meet(X1,X4)))) = meet(X1,join(X2,meet(X3,X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5592.0.1','0.12.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5592.0.3',plain,
% 202.95/203.45 ( join(meet(X1,X3),meet(X1,X2)) = meet(X1,join(X2,meet(X3,X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5592.0.2','0.568.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5592.1.0',plain,
% 202.95/203.45 ( join(meet(X1,X3),meet(X1,X2)) = meet(X1,join(X2,meet(X3,X1))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5592.0.3']),
% 202.95/203.45 [weight('<7,5358,5591,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.5592.2.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,meet(X3,X1))) = join(meet(X1,X3),meet(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5592.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5520]).
% 202.95/203.45 cnf('0.5593.0.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5589.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5593.1.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5593.0.0']),
% 202.95/203.45 [weight('<7,5589,7,[1,0,0,2]>')]).
% 202.95/203.45 cnf('0.5593.2.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X1,X2),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5593.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5521]).
% 202.95/203.45 cnf('0.5594.0.0',plain,
% 202.95/203.45 ( meet(join(X1,meet(join(X1,X2),X3)),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.5355.2.0'])).
% 202.95/203.45 cnf('0.5594.0.1',plain,
% 202.95/203.45 ( meet(join(X1,meet(X2,join(X1,X3))),join(X2,join(X1,X4))) = join(X1,meet(join(X2,X1),X3)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5594.0.0','0.5593.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5594.0.2',plain,
% 202.95/203.45 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(join(X2,X1),X3)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5594.0.1','0.546.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5594.1.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(join(X2,X1),X3)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5594.0.2']),
% 202.95/203.45 [weight('<7,5355,5593,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.5594.2.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,X1),X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5594.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5522]).
% 202.95/203.45 cnf('0.5595.0.0',plain,
% 202.95/203.45 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),X3)) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.5584.2.0'])).
% 202.95/203.45 cnf('0.5595.0.1',plain,
% 202.95/203.45 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5595.0.0','0.5593.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5595.1.0',plain,
% 202.95/203.45 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5595.0.1']),
% 202.95/203.45 [weight('<7,5584,5593,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.5595.2.0',plain,
% 202.95/203.45 ( meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5595.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5523]).
% 202.95/203.45 cnf('0.5604.0.0',plain,
% 202.95/203.45 ( meet(X1,complement(X2)) = meet(X1,complement(meet(X2,join(X1,complement(X2))))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5582.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1.2','L')]).
% 202.95/203.45 cnf('0.5604.1.0',plain,
% 202.95/203.45 ( meet(X1,complement(X2)) = meet(X1,complement(meet(X2,join(X1,complement(X2))))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5604.0.0']),
% 202.95/203.45 [weight('<9,5582,11,[1,0,0,5]>')]).
% 202.95/203.45 cnf('0.5604.2.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(X2,join(X1,complement(X2))))) = meet(X1,complement(X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5604.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5531]).
% 202.95/203.45 cnf('0.5605.0.0',plain,
% 202.95/203.45 ( meet(X1,complement(complement(X2))) = meet(X1,complement(meet(complement(X2),join(X2,X1)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5582.2.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1.2.1','L')]).
% 202.95/203.45 cnf('0.5605.0.1',plain,
% 202.95/203.45 ( meet(X1,X2) = meet(X1,complement(meet(complement(X2),join(X2,X1)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5605.0.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5605.1.0',plain,
% 202.95/203.45 ( meet(X1,X2) = meet(X1,complement(meet(complement(X2),join(X2,X1)))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5605.0.1']),
% 202.95/203.45 [weight('<9,5582,4940,[1,0,0,6]>')]).
% 202.95/203.45 cnf('0.5605.2.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(complement(X2),join(X2,X1)))) = meet(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5605.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5532]).
% 202.95/203.45 cnf('0.5606.0.0',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(join(meet(X1,X2),meet(X1,X3)),X4) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.8.2.0','0.5587.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5606.1.0',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(join(meet(X1,X2),meet(X1,X3)),X4) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5606.0.0']),
% 202.95/203.45 [weight('<9,5587,8,[0,0,0,1]>')]).
% 202.95/203.45 cnf('0.5606.2.0',plain,
% 202.95/203.45 ( meet(join(meet(X1,X2),meet(X1,X3)),X4) = meet(X1,meet(join(meet(X1,X2),X3),X4)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5606.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5533]).
% 202.95/203.45 cnf('0.5611.0.0',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,join(meet(X1,X2),complement(X1))),X3),X4)) = meet(join(meet(X3,X1),join(meet(X1,X2),meet(X1,complement(X1)))),X4) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.1580.2.0','0.5587.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.2','L')]).
% 202.95/203.45 cnf('0.5611.0.1',plain,
% 202.95/203.45 ( meet(X1,meet(join(join(meet(X1,X2),meet(X1,complement(X1))),X3),X4)) = meet(join(meet(X3,X1),join(meet(X1,X2),meet(X1,complement(X1)))),X4) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5611.0.0','0.5587.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1.1','L')]).
% 202.95/203.45 cnf('0.5611.0.2',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),join(meet(X1,complement(X1)),X3)),X4)) = meet(join(meet(X3,X1),join(meet(X1,X2),meet(X1,complement(X1)))),X4) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5611.0.1','0.12.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5611.0.3',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),join(zero,X3)),X4)) = meet(join(meet(X3,X1),join(meet(X1,X2),meet(X1,complement(X1)))),X4) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5611.0.2','0.10.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1.2.1','L')]).
% 202.95/203.45 cnf('0.5611.0.4',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(join(meet(X3,X1),join(meet(X1,X2),meet(X1,complement(X1)))),X4) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5611.0.3','0.16.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1.2','L')]).
% 202.95/203.45 cnf('0.5611.0.5',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(join(meet(X3,X1),join(meet(X1,X2),zero)),X4) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5611.0.4','0.10.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1.2.2','L')]).
% 202.95/203.45 cnf('0.5611.0.6',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(join(meet(X3,X1),meet(X1,X2)),X4) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5611.0.5','0.14.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1.2','L')]).
% 202.95/203.45 cnf('0.5611.1.0',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(join(meet(X3,X1),meet(X1,X2)),X4) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5611.0.6']),
% 202.95/203.45 [weight('<9,5587,1580,[0,0,0,5]>')]).
% 202.95/203.45 cnf('0.5611.2.0',plain,
% 202.95/203.45 ( meet(join(meet(X1,X2),meet(X2,X3)),X4) = meet(X2,meet(join(meet(X2,X3),X1),X4)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5611.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5538]).
% 202.95/203.45 cnf('0.5617.0.0',plain,
% 202.95/203.45 ( meet(join(X1,X2),X3) = meet(meet(join(X1,X2),X3),join(X1,meet(X2,join(X1,X3)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.26.2.0','0.5593.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5617.0.1',plain,
% 202.95/203.45 ( meet(join(X1,X2),X3) = meet(join(X1,X2),meet(X3,join(X1,meet(X2,join(X1,X3))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5617.0.0','0.8.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5617.0.2',plain,
% 202.95/203.45 ( meet(join(X1,X2),X3) = meet(join(X1,meet(X2,join(X1,X3))),X3) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5617.0.1','0.642.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5617.1.0',plain,
% 202.95/203.45 ( meet(join(X1,X2),X3) = meet(join(X1,meet(X2,join(X1,X3))),X3) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5617.0.2']),
% 202.95/203.45 [weight('<9,5593,26,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.5617.1.1',plain,
% 202.95/203.45 ( meet(join(X1,X2),X3) = meet(X3,join(X1,meet(X2,join(X1,X3)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5617.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5617.2.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(join(X2,X3),X1) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5617.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_5544]).
% 202.95/203.45 cnf('0.5630.0.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,meet(X1,X3)),X4)) = join(X1,join(meet(X1,X3),meet(X2,join(meet(X1,X3),X4)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.47.2.0','0.5594.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5630.0.1',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,meet(X1,X3)),X4)) = join(X1,meet(X2,join(meet(X1,X3),X4))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5630.0.0','0.47.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5630.1.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,meet(X1,X3)),X4)) = join(X1,meet(X2,join(meet(X1,X3),X4))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5630.0.1']),
% 202.95/203.45 [weight('<9,5594,47,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.5630.2.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,meet(X1,X3)),X4)) = join(X1,meet(X2,join(meet(X1,X3),X4))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5630.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5557]).
% 202.95/203.45 cnf('0.5631.0.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,meet(X3,X1)),X4)) = join(X1,join(meet(X3,X1),meet(X2,join(meet(X3,X1),X4)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.49.2.0','0.5594.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5631.0.1',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,meet(X3,X1)),X4)) = join(X1,meet(X2,join(meet(X3,X1),X4))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5631.0.0','0.49.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5631.1.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,meet(X3,X1)),X4)) = join(X1,meet(X2,join(meet(X3,X1),X4))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5631.0.1']),
% 202.95/203.45 [weight('<9,5594,49,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.5631.2.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,meet(X3,X1)),X4)) = join(X1,meet(X2,join(meet(X3,X1),X4))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5631.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5558]).
% 202.95/203.45 cnf('0.5644.0.0',plain,
% 202.95/203.45 ( meet(X1,complement(complement(X2))) = meet(X1,complement(meet(complement(X2),join(X1,X2)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5604.2.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1.2.2','L')]).
% 202.95/203.45 cnf('0.5644.0.1',plain,
% 202.95/203.45 ( meet(X1,X2) = meet(X1,complement(meet(complement(X2),join(X1,X2)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5644.0.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5644.1.0',plain,
% 202.95/203.45 ( meet(X1,X2) = meet(X1,complement(meet(complement(X2),join(X1,X2)))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5644.0.1']),
% 202.95/203.45 [weight('<9,5604,4940,[1,0,0,7]>')]).
% 202.95/203.45 cnf('0.5644.2.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(complement(X2),join(X1,X2)))) = meet(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5644.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5568]).
% 202.95/203.45 cnf('0.5645.0.0',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(join(meet(X2,X1),meet(X1,X3)),X4) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5606.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.1','L')]).
% 202.95/203.45 cnf('0.5645.1.0',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(join(meet(X2,X1),meet(X1,X3)),X4) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5645.0.0']),
% 202.95/203.45 [weight('<9,5606,7,[1,0,0,2]>')]).
% 202.95/203.45 cnf('0.5645.1.1',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(X1,meet(join(meet(X1,X3),X2),X4)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5645.1.0','0.5611.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5645.2.0',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(X1,meet(join(meet(X1,X3),X2),X4)) ),
% 202.95/203.45 inference(activate,[status(thm)],['0.5645.1.1']),
% 202.95/203.45 [equation_77]).
% 202.95/203.45 cnf('0.5658.0.0',plain,
% 202.95/203.45 ( meet(X1,meet(X1,X2)) = meet(X1,complement(meet(complement(meet(X1,X2)),X1))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5644.2.0','0.4.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1.2','L')]).
% 202.95/203.45 cnf('0.5658.0.1',plain,
% 202.95/203.45 ( meet(X1,X2) = meet(X1,complement(meet(complement(meet(X1,X2)),X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5658.0.0','0.25.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5658.1.0',plain,
% 202.95/203.45 ( meet(X1,X2) = meet(X1,complement(meet(complement(meet(X1,X2)),X1))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5658.0.1']),
% 202.95/203.45 [weight('<9,5644,4,[1,0,0,6]>')]).
% 202.95/203.45 cnf('0.5658.1.1',plain,
% 202.95/203.45 ( meet(X1,X2) = meet(X1,complement(meet(X1,complement(meet(X1,X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5658.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.1','L')]).
% 202.95/203.45 cnf('0.5658.2.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(X1,complement(meet(X1,X2))))) = meet(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5658.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_5580]).
% 202.95/203.45 cnf('0.5660.0.0',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(X1,meet(join(X2,meet(X1,X3)),X4)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5645.2.0','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5660.1.0',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(X1,meet(join(X2,meet(X1,X3)),X4)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5660.0.0']),
% 202.95/203.45 [weight('<9,5645,11,[1,0,0,3]>')]).
% 202.95/203.45 cnf('0.5660.2.0',plain,
% 202.95/203.45 ( meet(X1,meet(join(meet(X1,X2),X3),X4)) = meet(X1,meet(join(X2,meet(X1,X3)),X4)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5660.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5582]).
% 202.95/203.45 cnf('0.5661.0.0',plain,
% 202.95/203.45 ( meet(join(meet(X1,X2),meet(X1,X3)),X4) = meet(X1,meet(join(meet(X1,X2),X3),X4)) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.5606.2.0'])).
% 202.95/203.45 cnf('0.5661.0.1',plain,
% 202.95/203.45 ( meet(join(meet(X1,X2),meet(X1,X3)),X4) = meet(X1,meet(join(X2,meet(X1,X3)),X4)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5661.0.0','0.5660.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5661.1.0',plain,
% 202.95/203.45 ( meet(join(meet(X1,X2),meet(X1,X3)),X4) = meet(X1,meet(join(X2,meet(X1,X3)),X4)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5661.0.1']),
% 202.95/203.45 [weight('<9,5606,5660,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.5661.2.0',plain,
% 202.95/203.45 ( meet(join(meet(X1,X2),meet(X1,X3)),X4) = meet(X1,meet(join(X2,meet(X1,X3)),X4)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5661.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5583]).
% 202.95/203.45 cnf('0.5666.0.0',plain,
% 202.95/203.45 ( meet(X1,meet(X2,join(meet(X1,X3),X4))) = meet(X2,meet(X1,meet(join(X3,meet(X1,X4)),join(meet(X1,join(X2,X5)),X6)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.2068.2.0','0.5660.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5666.0.1',plain,
% 202.95/203.45 ( meet(X1,meet(X2,join(meet(X1,X3),X4))) = meet(X1,meet(X2,join(X3,meet(X1,X4)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5666.0.0','0.2068.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5666.1.0',plain,
% 202.95/203.45 ( meet(X1,meet(X2,join(meet(X1,X3),X4))) = meet(X1,meet(X2,join(X3,meet(X1,X4)))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5666.0.1']),
% 202.95/203.45 [weight('<9,5660,2068,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.5666.2.0',plain,
% 202.95/203.45 ( meet(X1,meet(X2,join(meet(X1,X3),X4))) = meet(X1,meet(X2,join(X3,meet(X1,X4)))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5666.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5588]).
% 202.95/203.45 cnf('0.5671.0.0',plain,
% 202.95/203.45 ( complement(meet(X1,join(complement(X1),X2))) = join(complement(meet(X1,join(complement(X1),X2))),complement(X1)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.24.2.0','0.5581.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5671.1.0',plain,
% 202.95/203.45 ( complement(meet(X1,join(complement(X1),X2))) = join(complement(meet(X1,join(complement(X1),X2))),complement(X1)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5671.0.0']),
% 202.95/203.45 [weight('<10,5581,24,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.5671.1.1',plain,
% 202.95/203.45 ( complement(meet(X1,join(complement(X1),X2))) = join(complement(X1),complement(meet(X1,join(complement(X1),X2)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5671.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5671.2.0',plain,
% 202.95/203.45 ( join(complement(X1),complement(meet(X1,join(complement(X1),X2)))) = complement(meet(X1,join(complement(X1),X2))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5671.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_5590]).
% 202.95/203.45 cnf('0.5672.0.0',plain,
% 202.95/203.45 ( complement(meet(X1,join(complement(X1),meet(X1,X2)))) = join(complement(X1),complement(join(meet(X1,X2),meet(X1,complement(X1))))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5671.2.0','0.5591.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5672.0.1',plain,
% 202.95/203.45 ( complement(join(meet(X1,X2),meet(X1,complement(X1)))) = join(complement(X1),complement(join(meet(X1,X2),meet(X1,complement(X1))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5672.0.0','0.5591.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5672.0.2',plain,
% 202.95/203.45 ( complement(join(meet(X1,X2),zero)) = join(complement(X1),complement(join(meet(X1,X2),meet(X1,complement(X1))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5672.0.1','0.10.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.2','L')]).
% 202.95/203.45 cnf('0.5672.0.3',plain,
% 202.95/203.45 ( complement(meet(X1,X2)) = join(complement(X1),complement(join(meet(X1,X2),meet(X1,complement(X1))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5672.0.2','0.14.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5672.0.4',plain,
% 202.95/203.45 ( complement(meet(X1,X2)) = join(complement(X1),complement(join(meet(X1,X2),zero))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5672.0.3','0.10.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.1.2','L')]).
% 202.95/203.45 cnf('0.5672.0.5',plain,
% 202.95/203.45 ( complement(meet(X1,X2)) = join(complement(X1),complement(meet(X1,X2))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5672.0.4','0.14.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.1','L')]).
% 202.95/203.45 cnf('0.5672.1.0',plain,
% 202.95/203.45 ( complement(meet(X1,X2)) = join(complement(X1),complement(meet(X1,X2))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5672.0.5']),
% 202.95/203.45 [weight('<7,5671,5591,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5672.2.0',plain,
% 202.95/203.45 ( join(complement(X1),complement(meet(X1,X2))) = complement(meet(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5672.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5591]).
% 202.95/203.45 cnf('0.5673.0.0',plain,
% 202.95/203.45 ( complement(X1) = meet(complement(X1),complement(meet(X1,X2))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.2.2.0','0.5672.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5673.1.0',plain,
% 202.95/203.45 ( complement(X1) = meet(complement(X1),complement(meet(X1,X2))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5673.0.0']),
% 202.95/203.45 [weight('<7,5672,2,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.5673.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),complement(meet(X1,X2))) = complement(X1) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5673.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5592]).
% 202.95/203.45 cnf('0.5674.0.0',plain,
% 202.95/203.45 ( complement(meet(X1,X2)) = join(complement(X1),complement(meet(X2,X1))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5672.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5674.1.0',plain,
% 202.95/203.45 ( complement(meet(X1,X2)) = join(complement(X1),complement(meet(X2,X1))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5674.0.0']),
% 202.95/203.45 [weight('<7,5672,7,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5674.2.0',plain,
% 202.95/203.45 ( join(complement(X1),complement(meet(X2,X1))) = complement(meet(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5674.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5593]).
% 202.95/203.45 cnf('0.5676.0.0',plain,
% 202.95/203.45 ( complement(meet(join(complement(X1),X2),complement(meet(X1,join(complement(X1),X2))))) = join(complement(join(complement(X1),X2)),complement(complement(X1))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5672.2.0','0.5581.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5676.0.1',plain,
% 202.95/203.45 ( complement(complement(X1)) = join(complement(join(complement(X1),X2)),complement(complement(X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5676.0.0','0.5581.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5676.0.2',plain,
% 202.95/203.45 ( X1 = join(complement(join(complement(X1),X2)),complement(complement(X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5676.0.1','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5676.0.3',plain,
% 202.95/203.45 ( X1 = join(complement(join(complement(X1),X2)),X1) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5676.0.2','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2','L')]).
% 202.95/203.45 cnf('0.5676.1.0',plain,
% 202.95/203.45 ( X1 = join(complement(join(complement(X1),X2)),X1) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5676.0.3']),
% 202.95/203.45 [weight('<7,5672,5581,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5676.1.1',plain,
% 202.95/203.45 ( X1 = join(X1,complement(join(complement(X1),X2))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5676.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5676.2.0',plain,
% 202.95/203.45 ( join(X1,complement(join(complement(X1),X2))) = X1 ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5676.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_5595]).
% 202.95/203.45 cnf('0.5677.0.0',plain,
% 202.95/203.45 ( complement(X1) = meet(complement(X1),complement(meet(X2,X1))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5673.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5677.1.0',plain,
% 202.95/203.45 ( complement(X1) = meet(complement(X1),complement(meet(X2,X1))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5677.0.0']),
% 202.95/203.45 [weight('<7,5673,7,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5677.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),complement(meet(X2,X1))) = complement(X1) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5677.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5596]).
% 202.95/203.45 cnf('0.5679.0.0',plain,
% 202.95/203.45 ( complement(join(complement(X1),X2)) = meet(complement(join(complement(X1),X2)),complement(complement(X1))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5673.2.0','0.5581.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5679.0.1',plain,
% 202.95/203.45 ( complement(join(complement(X1),X2)) = meet(complement(join(complement(X1),X2)),X1) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5679.0.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2','L')]).
% 202.95/203.45 cnf('0.5679.1.0',plain,
% 202.95/203.45 ( complement(join(complement(X1),X2)) = meet(complement(join(complement(X1),X2)),X1) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5679.0.1']),
% 202.95/203.45 [weight('<7,5673,5581,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5679.1.1',plain,
% 202.95/203.45 ( complement(join(complement(X1),X2)) = meet(X1,complement(join(complement(X1),X2))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5679.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5679.2.0',plain,
% 202.95/203.45 ( meet(X1,complement(join(complement(X1),X2))) = complement(join(complement(X1),X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5679.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_5598]).
% 202.95/203.45 cnf('0.5681.0.0',plain,
% 202.95/203.45 ( complement(meet(join(X1,X2),X2)) = join(complement(join(X1,X2)),complement(X2)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5674.2.0','0.26.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5681.1.0',plain,
% 202.95/203.45 ( complement(meet(join(X1,X2),X2)) = join(complement(join(X1,X2)),complement(X2)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5681.0.0']),
% 202.95/203.45 [weight('<7,5674,26,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5681.1.1',plain,
% 202.95/203.45 ( complement(meet(X2,join(X1,X2))) = join(complement(join(X1,X2)),complement(X2)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5681.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5681.1.2',plain,
% 202.95/203.45 ( complement(X2) = join(complement(join(X1,X2)),complement(X2)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5681.1.1','0.26.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5681.1.3',plain,
% 202.95/203.45 ( complement(X2) = join(complement(X2),complement(join(X1,X2))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5681.1.2','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5681.2.0',plain,
% 202.95/203.45 ( join(complement(X1),complement(join(X2,X1))) = complement(X1) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5681.1.3',theory(equality)]),
% 202.95/203.45 [x,rule_5600]).
% 202.95/203.45 cnf('0.5682.0.0',plain,
% 202.95/203.45 ( complement(meet(complement(X1),X2)) = join(X1,complement(meet(X2,complement(X1)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5674.2.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5682.1.0',plain,
% 202.95/203.45 ( complement(meet(complement(X1),X2)) = join(X1,complement(meet(X2,complement(X1)))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5682.0.0']),
% 202.95/203.45 [weight('<7,5674,4940,[1,0,0,1]>')]).
% 202.95/203.45 cnf('0.5682.2.0',plain,
% 202.95/203.45 ( join(X1,complement(meet(X2,complement(X1)))) = complement(meet(complement(X1),X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5682.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5601]).
% 202.95/203.45 cnf('0.5684.0.0',plain,
% 202.95/203.45 ( meet(complement(join(complement(complement(X1)),X2)),complement(X1)) = meet(complement(join(complement(complement(X1)),X2)),complement(meet(X1,complement(X1)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5582.2.0','0.5676.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1.2','L')]).
% 202.95/203.45 cnf('0.5684.0.1',plain,
% 202.95/203.45 ( meet(complement(join(X1,X2)),complement(X1)) = meet(complement(join(complement(complement(X1)),X2)),complement(meet(X1,complement(X1)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5684.0.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.1.1','L')]).
% 202.95/203.45 cnf('0.5684.0.2',plain,
% 202.95/203.45 ( meet(complement(join(X1,X2)),complement(X1)) = meet(complement(join(X1,X2)),complement(meet(X1,complement(X1)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5684.0.1','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1.1.1','L')]).
% 202.95/203.45 cnf('0.5684.0.3',plain,
% 202.95/203.45 ( meet(complement(join(X1,X2)),complement(X1)) = meet(complement(join(X1,X2)),complement(zero)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5684.0.2','0.10.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.1','L')]).
% 202.95/203.45 cnf('0.5684.0.4',plain,
% 202.95/203.45 ( meet(complement(join(X1,X2)),complement(X1)) = meet(complement(join(X1,X2)),one) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5684.0.3','0.17.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2','L')]).
% 202.95/203.45 cnf('0.5684.0.5',plain,
% 202.95/203.45 ( meet(complement(join(X1,X2)),complement(X1)) = complement(join(X1,X2)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5684.0.4','0.15.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5684.1.0',plain,
% 202.95/203.45 ( meet(complement(join(X1,X2)),complement(X1)) = complement(join(X1,X2)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5684.0.5']),
% 202.95/203.45 [weight('<7,5676,5582,[0,0,0,5]>')]).
% 202.95/203.45 cnf('0.5684.1.1',plain,
% 202.95/203.45 ( meet(complement(X1),complement(join(X1,X2))) = complement(join(X1,X2)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5684.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5684.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),complement(join(X1,X2))) = complement(join(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5684.1.1',theory(equality)]),
% 202.95/203.45 [u,rule_5603]).
% 202.95/203.45 cnf('0.5685.0.0',plain,
% 202.95/203.45 ( complement(join(X1,X2)) = meet(complement(join(X1,X2)),complement(X2)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5677.2.0','0.26.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5685.1.0',plain,
% 202.95/203.45 ( complement(join(X1,X2)) = meet(complement(join(X1,X2)),complement(X2)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5685.0.0']),
% 202.95/203.45 [weight('<7,5677,26,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5685.1.1',plain,
% 202.95/203.45 ( complement(join(X1,X2)) = meet(complement(X2),complement(join(X1,X2))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5685.1.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5685.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),complement(join(X2,X1))) = complement(join(X2,X1)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5685.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_5604]).
% 202.95/203.45 cnf('0.5686.0.0',plain,
% 202.95/203.45 ( complement(complement(X1)) = meet(X1,complement(meet(X2,complement(X1)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5677.2.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5686.0.1',plain,
% 202.95/203.45 ( X1 = meet(X1,complement(meet(X2,complement(X1)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5686.0.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5686.1.0',plain,
% 202.95/203.45 ( X1 = meet(X1,complement(meet(X2,complement(X1)))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5686.0.1']),
% 202.95/203.45 [weight('<7,5677,4940,[1,0,0,1]>')]).
% 202.95/203.45 cnf('0.5686.2.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(X2,complement(X1)))) = X1 ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5686.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5605]).
% 202.95/203.45 cnf('0.5696.0.0',plain,
% 202.95/203.45 ( join(complement(X1),complement(meet(X1,X2))) = join(complement(X1),meet(complement(complement(X1)),complement(meet(X1,X2)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.4946.2.0','0.5672.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2','L')]).
% 202.95/203.45 cnf('0.5696.0.1',plain,
% 202.95/203.45 ( complement(meet(X1,X2)) = join(complement(X1),meet(complement(complement(X1)),complement(meet(X1,X2)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5696.0.0','0.5672.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5696.0.2',plain,
% 202.95/203.45 ( complement(meet(X1,X2)) = join(complement(X1),meet(X1,complement(meet(X1,X2)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5696.0.1','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.1','L')]).
% 202.95/203.45 cnf('0.5696.1.0',plain,
% 202.95/203.45 ( complement(meet(X1,X2)) = join(complement(X1),meet(X1,complement(meet(X1,X2)))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5696.0.2']),
% 202.95/203.45 [weight('<9,5672,4946,[0,0,0,5]>')]).
% 202.95/203.45 cnf('0.5696.2.0',plain,
% 202.95/203.45 ( join(complement(X1),meet(X1,complement(meet(X1,X2)))) = complement(meet(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5696.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5615]).
% 202.95/203.45 cnf('0.5697.0.0',plain,
% 202.95/203.45 ( complement(meet(X1,complement(meet(X1,X2)))) = join(complement(X1),meet(X1,X2)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5696.2.0','0.5658.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5697.1.0',plain,
% 202.95/203.45 ( complement(meet(X1,complement(meet(X1,X2)))) = join(complement(X1),meet(X1,X2)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5697.0.0']),
% 202.95/203.45 [weight('<7,5696,5658,[1,0,0,3]>')]).
% 202.95/203.45 cnf('0.5697.2.0',plain,
% 202.95/203.45 ( complement(meet(X1,complement(meet(X1,X2)))) = join(complement(X1),meet(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5697.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5616]).
% 202.95/203.45 cnf('0.5700.0.0',plain,
% 202.95/203.45 ( join(complement(complement(X1)),meet(complement(X1),complement(join(X1,X2)))) = complement(meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5697.2.0','0.5684.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.2.1','L')]).
% 202.95/203.45 cnf('0.5700.0.1',plain,
% 202.95/203.45 ( join(X1,meet(complement(X1),complement(join(X1,X2)))) = complement(meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5700.0.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5700.0.2',plain,
% 202.95/203.45 ( join(X1,complement(join(X1,X2))) = complement(meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5700.0.1','0.5684.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5700.0.3',plain,
% 202.95/203.45 ( join(X1,complement(join(X1,X2))) = complement(meet(complement(X1),join(X1,X2))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5700.0.2','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1.2','L')]).
% 202.95/203.45 cnf('0.5700.1.0',plain,
% 202.95/203.45 ( join(X1,complement(join(X1,X2))) = complement(meet(complement(X1),join(X1,X2))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5700.0.3']),
% 202.95/203.45 [weight('<7,5697,5684,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5700.2.0',plain,
% 202.95/203.45 ( complement(meet(complement(X1),join(X1,X2))) = join(X1,complement(join(X1,X2))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5700.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5619]).
% 202.95/203.45 cnf('0.5701.0.0',plain,
% 202.95/203.45 ( join(complement(complement(X1)),meet(complement(X1),complement(join(X2,X1)))) = complement(meet(complement(X1),complement(complement(join(X2,X1))))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5697.2.0','0.5685.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.2.1','L')]).
% 202.95/203.45 cnf('0.5701.0.1',plain,
% 202.95/203.45 ( join(X1,meet(complement(X1),complement(join(X2,X1)))) = complement(meet(complement(X1),complement(complement(join(X2,X1))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5701.0.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5701.0.2',plain,
% 202.95/203.45 ( join(X1,complement(join(X2,X1))) = complement(meet(complement(X1),complement(complement(join(X2,X1))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5701.0.1','0.5685.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5701.0.3',plain,
% 202.95/203.45 ( join(X1,complement(join(X2,X1))) = complement(meet(complement(X1),join(X2,X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5701.0.2','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1.2','L')]).
% 202.95/203.45 cnf('0.5701.1.0',plain,
% 202.95/203.45 ( join(X1,complement(join(X2,X1))) = complement(meet(complement(X1),join(X2,X1))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5701.0.3']),
% 202.95/203.45 [weight('<7,5697,5685,[1,0,0,4]>')]).
% 202.95/203.45 cnf('0.5701.2.0',plain,
% 202.95/203.45 ( complement(meet(complement(X1),join(X2,X1))) = join(X1,complement(join(X2,X1))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5701.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5620]).
% 202.95/203.45 cnf('0.5705.0.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(complement(X2),join(X2,X1)))) = meet(X1,X2) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.5605.2.0'])).
% 202.95/203.45 cnf('0.5705.0.1',plain,
% 202.95/203.45 ( meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5705.0.0','0.5700.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5705.1.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5705.0.1']),
% 202.95/203.45 [weight('<8,5605,5700,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.5705.2.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5705.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5624]).
% 202.95/203.45 cnf('0.5706.0.0',plain,
% 202.95/203.45 ( meet(X1,complement(meet(complement(X2),join(X1,X2)))) = meet(X1,X2) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.5644.2.0'])).
% 202.95/203.45 cnf('0.5706.0.1',plain,
% 202.95/203.45 ( meet(X1,join(X2,complement(join(X1,X2)))) = meet(X1,X2) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5706.0.0','0.5701.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5706.1.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,complement(join(X1,X2)))) = meet(X1,X2) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5706.0.1']),
% 202.95/203.45 [weight('<8,5644,5701,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.5706.2.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,complement(join(X1,X2)))) = meet(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5706.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5625]).
% 202.95/203.45 cnf('0.5711.0.0',plain,
% 202.95/203.45 ( join(complement(X1),meet(X2,join(complement(X1),complement(meet(X1,X3))))) = meet(join(complement(X1),X2),complement(meet(X1,X3))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5595.2.0','0.5672.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5711.0.1',plain,
% 202.95/203.45 ( join(complement(X1),meet(X2,complement(meet(X1,X3)))) = meet(join(complement(X1),X2),complement(meet(X1,X3))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5711.0.0','0.5672.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2','L')]).
% 202.95/203.45 cnf('0.5711.1.0',plain,
% 202.95/203.45 ( join(complement(X1),meet(X2,complement(meet(X1,X3)))) = meet(join(complement(X1),X2),complement(meet(X1,X3))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5711.0.1']),
% 202.95/203.45 [weight('<9,5672,5595,[0,0,0,4]>')]).
% 202.95/203.45 cnf('0.5711.2.0',plain,
% 202.95/203.45 ( meet(join(complement(X1),X2),complement(meet(X1,X3))) = join(complement(X1),meet(X2,complement(meet(X1,X3)))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5711.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5630]).
% 202.95/203.45 cnf('0.5767.0.0',plain,
% 202.95/203.45 ( join(meet(X1,complement(join(complement(X1),X2))),meet(X1,X3)) = meet(X1,join(X3,complement(join(complement(X1),X2)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5591.2.0','0.5679.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2','L')]).
% 202.95/203.45 cnf('0.5767.0.1',plain,
% 202.95/203.45 ( join(complement(join(complement(X1),X2)),meet(X1,X3)) = meet(X1,join(X3,complement(join(complement(X1),X2)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5767.0.0','0.5679.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5767.1.0',plain,
% 202.95/203.45 ( join(complement(join(complement(X1),X2)),meet(X1,X3)) = meet(X1,join(X3,complement(join(complement(X1),X2)))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5767.0.1']),
% 202.95/203.45 [weight('<9,5679,5591,[0,0,0,4]>')]).
% 202.95/203.45 cnf('0.5767.2.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,complement(join(complement(X1),X3)))) = join(complement(join(complement(X1),X3)),meet(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5767.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5686]).
% 202.95/203.45 cnf('0.5966.0.0',plain,
% 202.95/203.45 ( join(complement(join(complement(X1),X2)),meet(X1,complement(X2))) = meet(X1,complement(X2)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5767.2.0','0.5681.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5966.1.0',plain,
% 202.95/203.45 ( join(complement(join(complement(X1),X2)),meet(X1,complement(X2))) = meet(X1,complement(X2)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5966.0.0']),
% 202.95/203.45 [weight('<10,5767,5681,[1,0,0,2]>')]).
% 202.95/203.45 cnf('0.5966.1.1',plain,
% 202.95/203.45 ( join(meet(X1,complement(X2)),complement(join(complement(X1),X2))) = meet(X1,complement(X2)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5966.1.0','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5966.2.0',plain,
% 202.95/203.45 ( join(meet(X1,complement(X2)),complement(join(complement(X1),X2))) = meet(X1,complement(X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5966.1.1',theory(equality)]),
% 202.95/203.45 [u,rule_5885]).
% 202.95/203.45 cnf('0.5967.0.0',plain,
% 202.95/203.45 ( complement(join(meet(X1,complement(X2)),complement(join(complement(X1),X2)))) = meet(complement(complement(join(complement(X1),X2))),complement(meet(X1,complement(X2)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5685.2.0','0.5966.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.1','L')]).
% 202.95/203.45 cnf('0.5967.0.1',plain,
% 202.95/203.45 ( complement(meet(X1,complement(X2))) = meet(complement(complement(join(complement(X1),X2))),complement(meet(X1,complement(X2)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5967.0.0','0.5966.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5967.0.2',plain,
% 202.95/203.45 ( complement(meet(X1,complement(X2))) = meet(join(complement(X1),X2),complement(meet(X1,complement(X2)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5967.0.1','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1','L')]).
% 202.95/203.45 cnf('0.5967.0.3',plain,
% 202.95/203.45 ( complement(meet(X1,complement(X2))) = join(complement(X1),meet(X2,complement(meet(X1,complement(X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5967.0.2','0.5711.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5967.0.4',plain,
% 202.95/203.45 ( complement(meet(X1,complement(X2))) = join(complement(X1),X2) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5967.0.3','0.5686.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2','L')]).
% 202.95/203.45 cnf('0.5967.1.0',plain,
% 202.95/203.45 ( complement(meet(X1,complement(X2))) = join(complement(X1),X2) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5967.0.4']),
% 202.95/203.45 [weight('<5,5966,5685,[0,0,0,4]>')]).
% 202.95/203.45 cnf('0.5967.2.0',plain,
% 202.95/203.45 ( complement(meet(X1,complement(X2))) = join(complement(X1),X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5967.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5886]).
% 202.95/203.45 cnf('0.5968.0.0',plain,
% 202.95/203.45 ( join(X1,complement(meet(X2,complement(X1)))) = complement(meet(complement(X1),X2)) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.5682.2.0'])).
% 202.95/203.45 cnf('0.5968.0.1',plain,
% 202.95/203.45 ( join(X1,join(complement(X2),X1)) = complement(meet(complement(X1),X2)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5968.0.0','0.5967.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.5968.0.2',plain,
% 202.95/203.45 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5968.0.1','0.30.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5968.1.0',plain,
% 202.95/203.45 ( join(X1,complement(X2)) = complement(meet(complement(X1),X2)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5968.0.2']),
% 202.95/203.45 [weight('<5,5682,5967,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.5968.2.0',plain,
% 202.95/203.45 ( complement(meet(complement(X1),X2)) = join(X1,complement(X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5968.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5887]).
% 202.95/203.45 cnf('0.5969.0.0',plain,
% 202.95/203.45 ( meet(X1,complement(X2)) = complement(join(complement(X1),X2)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.4940.2.0','0.5967.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5969.1.0',plain,
% 202.95/203.45 ( meet(X1,complement(X2)) = complement(join(complement(X1),X2)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5969.0.0']),
% 202.95/203.45 [weight('<5,5967,4940,[0,0,0,1]>')]).
% 202.95/203.45 cnf('0.5969.2.0',plain,
% 202.95/203.45 ( complement(join(complement(X1),X2)) = meet(X1,complement(X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5969.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5888]).
% 202.95/203.45 cnf('0.5970.0.0',plain,
% 202.95/203.45 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5967.2.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.2','L')]).
% 202.95/203.45 cnf('0.5970.1.0',plain,
% 202.95/203.45 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5970.0.0']),
% 202.95/203.45 [weight('<5,5967,4940,[1,0,0,3]>')]).
% 202.95/203.45 cnf('0.5970.2.0',plain,
% 202.95/203.45 ( join(complement(X1),complement(X2)) = complement(meet(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5970.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5889]).
% 202.95/203.45 cnf('0.5971.0.0',plain,
% 202.95/203.45 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.4940.2.0','0.5968.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5971.1.0',plain,
% 202.95/203.45 ( meet(complement(X1),X2) = complement(join(X1,complement(X2))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5971.0.0']),
% 202.95/203.45 [weight('<5,5968,4940,[0,0,0,1]>')]).
% 202.95/203.45 cnf('0.5971.2.0',plain,
% 202.95/203.45 ( complement(join(X1,complement(X2))) = meet(complement(X1),X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5971.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5890]).
% 202.95/203.45 cnf('0.5972.0.0',plain,
% 202.95/203.45 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5969.2.0','0.4940.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.1','L')]).
% 202.95/203.45 cnf('0.5972.1.0',plain,
% 202.95/203.45 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5972.0.0']),
% 202.95/203.45 [weight('<5,5969,4940,[1,0,0,2]>')]).
% 202.95/203.45 cnf('0.5972.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),complement(X2)) = complement(join(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5972.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_5891]).
% 202.95/203.45 cnf('0.5977.0.0',plain,
% 202.95/203.45 ( join(X1,complement(meet(X2,X3))) = complement(meet(X2,meet(complement(X1),X3))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5968.2.0','0.192.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5977.1.0',plain,
% 202.95/203.45 ( join(X1,complement(meet(X2,X3))) = complement(meet(X2,meet(complement(X1),X3))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5977.0.0']),
% 202.95/203.45 [weight('<7,5968,192,[1,0,0,1]>')]).
% 202.95/203.45 cnf('0.5977.2.0',plain,
% 202.95/203.45 ( complement(meet(X1,meet(complement(X2),X3))) = join(X2,complement(meet(X1,X3))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5977.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5896]).
% 202.95/203.45 cnf('0.5981.0.0',plain,
% 202.95/203.45 ( meet(X1,complement(join(X2,X3))) = complement(join(X2,join(complement(X1),X3))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5969.2.0','0.175.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1','L')]).
% 202.95/203.45 cnf('0.5981.1.0',plain,
% 202.95/203.45 ( meet(X1,complement(join(X2,X3))) = complement(join(X2,join(complement(X1),X3))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5981.0.0']),
% 202.95/203.45 [weight('<7,5969,175,[1,0,0,1]>')]).
% 202.95/203.45 cnf('0.5981.2.0',plain,
% 202.95/203.45 ( complement(join(X1,join(complement(X2),X3))) = meet(X2,complement(join(X1,X3))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5981.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5900]).
% 202.95/203.45 cnf('0.5984.0.0',plain,
% 202.95/203.45 ( join(join(complement(X1),X2),complement(X3)) = complement(meet(meet(X1,complement(X2)),X3)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5968.2.0','0.5969.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.1','L')]).
% 202.95/203.45 cnf('0.5984.0.1',plain,
% 202.95/203.45 ( join(complement(X1),join(X2,complement(X3))) = complement(meet(meet(X1,complement(X2)),X3)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5984.0.0','0.12.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5984.0.2',plain,
% 202.95/203.45 ( join(complement(X1),join(X2,complement(X3))) = complement(meet(X1,meet(complement(X2),X3))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5984.0.1','0.8.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1','L')]).
% 202.95/203.45 cnf('0.5984.1.0',plain,
% 202.95/203.45 ( join(complement(X1),join(X2,complement(X3))) = complement(meet(X1,meet(complement(X2),X3))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5984.0.2']),
% 202.95/203.45 [weight('<7,5969,5968,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.5984.1.1',plain,
% 202.95/203.45 ( join(complement(X1),join(X2,complement(X3))) = join(X2,complement(meet(X1,X3))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5984.1.0','0.5977.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5984.2.0',plain,
% 202.95/203.45 ( join(complement(X1),join(X2,complement(X3))) = join(X2,complement(meet(X1,X3))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5984.1.1',theory(equality)]),
% 202.95/203.45 [u,rule_5903]).
% 202.95/203.45 cnf('0.5985.0.0',plain,
% 202.95/203.45 ( meet(meet(complement(X1),X2),complement(X3)) = complement(join(join(X1,complement(X2)),X3)) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5969.2.0','0.5968.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.1','L')]).
% 202.95/203.45 cnf('0.5985.0.1',plain,
% 202.95/203.45 ( meet(complement(X1),meet(X2,complement(X3))) = complement(join(join(X1,complement(X2)),X3)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5985.0.0','0.8.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.5985.0.2',plain,
% 202.95/203.45 ( meet(complement(X1),meet(X2,complement(X3))) = complement(join(X1,join(complement(X2),X3))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5985.0.1','0.12.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1','L')]).
% 202.95/203.45 cnf('0.5985.1.0',plain,
% 202.95/203.45 ( meet(complement(X1),meet(X2,complement(X3))) = complement(join(X1,join(complement(X2),X3))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5985.0.2']),
% 202.95/203.45 [weight('<7,5969,5968,[1,0,0,2]>')]).
% 202.95/203.45 cnf('0.5985.1.1',plain,
% 202.95/203.45 ( meet(complement(X1),meet(X2,complement(X3))) = meet(X2,complement(join(X1,X3))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.5985.1.0','0.5981.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.5985.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),meet(X2,complement(X3))) = meet(X2,complement(join(X1,X3))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5985.1.1',theory(equality)]),
% 202.95/203.45 [u,rule_5904]).
% 202.95/203.45 cnf('0.5990.0.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X2,complement(X3))) = complement(join(X1,meet(complement(X2),X3))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5971.2.0','0.5971.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.1.2','L')]).
% 202.95/203.45 cnf('0.5990.1.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X2,complement(X3))) = complement(join(X1,meet(complement(X2),X3))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.5990.0.0']),
% 202.95/203.45 [weight('<7,5971,5971,[0,0,0,3]>')]).
% 202.95/203.45 cnf('0.5990.2.0',plain,
% 202.95/203.45 ( complement(join(X1,meet(complement(X2),X3))) = meet(complement(X1),join(X2,complement(X3))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.5990.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5909]).
% 202.95/203.45 cnf('0.6005.0.0',plain,
% 202.95/203.45 ( meet(complement(X1),X2) = meet(complement(X1),join(X2,meet(X1,complement(X2)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5706.2.0','0.5969.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2','L')]).
% 202.95/203.45 cnf('0.6005.1.0',plain,
% 202.95/203.45 ( meet(complement(X1),X2) = meet(complement(X1),join(X2,meet(X1,complement(X2)))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.6005.0.0']),
% 202.95/203.45 [weight('<9,5969,5706,[0,0,0,4]>')]).
% 202.95/203.45 cnf('0.6005.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X2,meet(X1,complement(X2)))) = meet(complement(X1),X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.6005.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_5924]).
% 202.95/203.45 cnf('0.6006.0.0',plain,
% 202.95/203.45 ( meet(complement(X1),complement(X2)) = meet(complement(X1),join(complement(X2),complement(complement(meet(X2,X1))))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5705.2.0','0.5970.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2.1','L')]).
% 202.95/203.45 cnf('0.6006.0.1',plain,
% 202.95/203.45 ( meet(complement(X1),complement(X2)) = meet(complement(X1),complement(meet(X2,complement(meet(X2,X1))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.6006.0.0','0.5970.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2','L')]).
% 202.95/203.45 cnf('0.6006.0.2',plain,
% 202.95/203.45 ( meet(complement(X1),complement(X2)) = meet(complement(X1),join(complement(X2),meet(X2,X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.6006.0.1','0.5967.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2','L')]).
% 202.95/203.45 cnf('0.6006.1.0',plain,
% 202.95/203.45 ( meet(complement(X1),complement(X2)) = meet(complement(X1),join(complement(X2),meet(X2,X1))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.6006.0.2']),
% 202.95/203.45 [weight('<9,5970,5705,[0,0,0,5]>')]).
% 202.95/203.45 cnf('0.6006.1.1',plain,
% 202.95/203.45 ( complement(join(X1,X2)) = meet(complement(X1),join(complement(X2),meet(X2,X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.6006.1.0','0.5972.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.6006.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(complement(X2),meet(X2,X1))) = complement(join(X1,X2)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.6006.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_5925]).
% 202.95/203.45 cnf('0.6301.0.0',plain,
% 202.95/203.45 ( join(X1,meet(meet(X2,X3),join(meet(X2,X1),X4))) = join(X1,meet(X2,meet(join(X3,meet(X2,X1)),X4))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5631.2.0','0.5661.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.6301.0.1',plain,
% 202.95/203.45 ( join(X1,meet(X2,meet(X3,join(meet(X2,X1),X4)))) = join(X1,meet(X2,meet(join(X3,meet(X2,X1)),X4))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.6301.0.0','0.8.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.6301.1.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,meet(X3,join(meet(X2,X1),X4)))) = join(X1,meet(X2,meet(join(X3,meet(X2,X1)),X4))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.6301.0.1']),
% 202.95/203.45 [weight('<11,5661,5631,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.6301.1.1',plain,
% 202.95/203.45 ( join(X1,meet(X2,meet(X3,join(X1,meet(X2,X4))))) = join(X1,meet(X2,meet(join(X3,meet(X2,X1)),X4))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.6301.1.0','0.5666.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.6301.2.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,meet(join(X3,meet(X2,X1)),X4))) = join(X1,meet(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.6301.1.1',theory(equality)]),
% 202.95/203.45 [x,rule_6168]).
% 202.95/203.45 cnf('0.7142.0.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,meet(X3,join(X1,meet(X2,X4))))) = join(X1,meet(X2,meet(join(X3,meet(X1,X2)),X4))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.6301.2.0','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2.1.2','L')]).
% 202.95/203.45 cnf('0.7142.1.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,meet(X3,join(X1,meet(X2,X4))))) = join(X1,meet(X2,meet(join(X3,meet(X1,X2)),X4))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.7142.0.0']),
% 202.95/203.45 [weight('<11,6301,7,[1,0,0,7]>')]).
% 202.95/203.45 cnf('0.7142.2.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,meet(join(X3,meet(X1,X2)),X4))) = join(X1,meet(X2,meet(X3,join(X1,meet(X2,X4))))) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.7142.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_6946]).
% 202.95/203.45 cnf('0.7587.0.0',plain,
% 202.95/203.45 ( meet(complement(X1),complement(meet(complement(X1),join(complement(X2),meet(X2,X1))))) = ifeq(join(join(complement(X2),meet(X2,X1)),complement(X1)),one,complement(join(complement(X2),meet(X2,X1))),meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.5579.2.0','0.6006.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.4.2.1','L')]).
% 202.95/203.45 cnf('0.7587.0.1',plain,
% 202.95/203.45 ( complement(join(X1,meet(complement(X1),join(complement(X2),meet(X2,X1))))) = ifeq(join(join(complement(X2),meet(X2,X1)),complement(X1)),one,complement(join(complement(X2),meet(X2,X1))),meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7587.0.0','0.5972.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.7587.0.2',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,complement(join(complement(X2),meet(X2,X1))))) = ifeq(join(join(complement(X2),meet(X2,X1)),complement(X1)),one,complement(join(complement(X2),meet(X2,X1))),meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7587.0.1','0.5990.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.7587.0.3',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,meet(X2,complement(meet(X2,X1))))) = ifeq(join(join(complement(X2),meet(X2,X1)),complement(X1)),one,complement(join(complement(X2),meet(X2,X1))),meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7587.0.2','0.5969.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2','L')]).
% 202.95/203.45 cnf('0.7587.0.4',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = ifeq(join(join(complement(X2),meet(X2,X1)),complement(X1)),one,complement(join(complement(X2),meet(X2,X1))),meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7587.0.3','0.4944.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.7587.0.5',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = ifeq(join(complement(X2),join(meet(X2,X1),complement(X1))),one,complement(join(complement(X2),meet(X2,X1))),meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7587.0.4','0.12.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1','L')]).
% 202.95/203.45 cnf('0.7587.0.6',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = ifeq(join(meet(X2,X1),complement(meet(X2,X1))),one,complement(join(complement(X2),meet(X2,X1))),meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7587.0.5','0.5984.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1','L')]).
% 202.95/203.45 cnf('0.7587.0.7',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = ifeq(one,one,complement(join(complement(X2),meet(X2,X1))),meet(complement(X1),complement(complement(join(X1,X2))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7587.0.6','0.13.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.1','L')]).
% 202.95/203.45 cnf('0.7587.0.8',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = complement(join(complement(X2),meet(X2,X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7587.0.7','0.5.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.7587.0.9',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = meet(X2,complement(meet(X2,X1))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7587.0.8','0.5969.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.7587.1.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = meet(X2,complement(meet(X2,X1))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.7587.0.9']),
% 202.95/203.45 [weight('<12,6006,5579,[0,0,0,10]>')]).
% 202.95/203.45 cnf('0.7587.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = meet(X2,complement(meet(X2,X1))) ),
% 202.95/203.45 inference(activate,[status(thm)],['0.7587.1.0']),
% 202.95/203.45 [equation_301]).
% 202.95/203.45 cnf('0.7588.0.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = meet(complement(X1),meet(X2,complement(meet(X2,X1)))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.25.2.0','0.7587.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.7588.0.1',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = meet(X2,complement(join(X1,meet(X2,X1)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7588.0.0','0.5985.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.7588.0.2',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = meet(X2,complement(X1)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7588.0.1','0.24.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.1','L')]).
% 202.95/203.45 cnf('0.7588.1.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = meet(X2,complement(X1)) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.7588.0.2']),
% 202.95/203.45 [weight('<6,7587,25,[0,0,0,2]>')]).
% 202.95/203.45 cnf('0.7588.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X1,X2)) = meet(X2,complement(X1)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.7588.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_7287]).
% 202.95/203.45 cnf('0.7589.0.0',plain,
% 202.95/203.45 ( join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.4946.2.0'])).
% 202.95/203.45 cnf('0.7589.0.1',plain,
% 202.95/203.45 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7589.0.0','0.7588.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.7589.1.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.7589.0.1']),
% 202.95/203.45 [weight('<6,4946,7588,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.7589.2.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,complement(X1))) = join(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.7589.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_7288]).
% 202.95/203.45 cnf('0.7595.0.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X2,meet(X1,complement(X2)))) = meet(complement(X1),X2) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.6005.2.0'])).
% 202.95/203.45 cnf('0.7595.0.1',plain,
% 202.95/203.45 ( meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7595.0.0','0.7589.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.7595.1.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.7595.0.1']),
% 202.95/203.45 [weight('<6,6005,7589,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.7595.2.0',plain,
% 202.95/203.45 ( meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.7595.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_7294]).
% 202.95/203.45 cnf('0.7596.0.0',plain,
% 202.95/203.45 ( join(X1,meet(complement(X1),join(X2,X1))) = join(X1,X2) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.4947.2.0'])).
% 202.95/203.45 cnf('0.7596.0.1',plain,
% 202.95/203.45 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7596.0.0','0.7595.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.7596.1.0',plain,
% 202.95/203.45 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.7596.0.1']),
% 202.95/203.45 [weight('<6,4947,7595,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.7596.2.0',plain,
% 202.95/203.45 ( join(X1,meet(complement(X1),X2)) = join(X1,X2) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.7596.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_7295]).
% 202.95/203.45 cnf('0.7600.0.0',plain,
% 202.95/203.45 ( join(X1,meet(join(X2,meet(X1,complement(X1))),X3)) = join(X1,meet(complement(X1),meet(X2,join(X1,meet(complement(X1),X3))))) ),
% 202.95/203.45 inference(cp,[status(thm)],['0.7596.2.0','0.7142.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.7600.0.1',plain,
% 202.95/203.45 ( join(X1,meet(X2,join(meet(X1,complement(X1)),X3))) = join(X1,meet(complement(X1),meet(X2,join(X1,meet(complement(X1),X3))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7600.0.0','0.5630.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.7600.0.2',plain,
% 202.95/203.45 ( join(X1,meet(X2,join(zero,X3))) = join(X1,meet(complement(X1),meet(X2,join(X1,meet(complement(X1),X3))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7600.0.1','0.10.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2.1','L')]).
% 202.95/203.45 cnf('0.7600.0.3',plain,
% 202.95/203.45 ( join(X1,meet(X2,X3)) = join(X1,meet(complement(X1),meet(X2,join(X1,meet(complement(X1),X3))))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7600.0.2','0.16.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2.2','L')]).
% 202.95/203.45 cnf('0.7600.0.4',plain,
% 202.95/203.45 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,meet(complement(X1),X3)))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7600.0.3','0.7596.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('0.7600.0.5',plain,
% 202.95/203.45 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7600.0.4','0.7596.2.0',theory(equality)]),
% 202.95/203.45 [pos('R.2.2','L')]).
% 202.95/203.45 cnf('0.7600.1.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,X3))) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.7600.0.5']),
% 202.95/203.45 [weight('<7,7596,7142,[1,0,0,0]>')]).
% 202.95/203.45 cnf('0.7600.2.0',plain,
% 202.95/203.45 ( join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.7600.1.0',theory(equality)]),
% 202.95/203.45 [x,rule_7299]).
% 202.95/203.45 cnf('0.7607.0.0',plain,
% 202.95/203.45 ( meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(join(X2,X3),X1) ),
% 202.95/203.45 inference(interreduction_right,[status(thm)],['0.5617.2.0'])).
% 202.95/203.45 cnf('0.7607.0.1',plain,
% 202.95/203.45 ( meet(X1,join(X2,meet(X3,X1))) = meet(join(X2,X3),X1) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7607.0.0','0.7600.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('0.7607.0.2',plain,
% 202.95/203.45 ( join(meet(X1,X3),meet(X1,X2)) = meet(join(X2,X3),X1) ),
% 202.95/203.45 inference(reduction,[status(thm)],['0.7607.0.1','0.5592.2.0',theory(equality)]),
% 202.95/203.45 [pos('L','L')]).
% 202.95/203.45 cnf('0.7607.1.0',plain,
% 202.95/203.45 ( join(meet(X1,X3),meet(X1,X2)) = meet(join(X2,X3),X1) ),
% 202.95/203.45 inference(weigh,[status(thm)],['0.7607.0.2']),
% 202.95/203.45 [weight('<7,5617,7600,[0,0,0,0]>')]).
% 202.95/203.45 cnf('0.7607.2.0',plain,
% 202.95/203.45 ( join(meet(X1,X2),meet(X1,X3)) = meet(join(X3,X2),X1) ),
% 202.95/203.45 inference(orient,[status(thm)],['0.7607.1.0',theory(equality)]),
% 202.95/203.45 [u,rule_7306]).
% 202.95/203.45 cnf('1.0.0.0',conjecture,
% 202.95/203.45 ( meet(a,join(b,c)) = join(meet(a,b),meet(a,c)) ),
% 202.95/203.45 file('/tmp/WALDMEISTER_30541_n004',conjecture_1)).
% 202.95/203.45 cnf('1.0.0.1',plain,
% 202.95/203.45 ( meet(a,join(c,b)) = join(meet(a,b),meet(a,c)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['1.0.0.0','0.11.2.0',theory(equality)]),
% 202.95/203.45 [pos('L.2','L')]).
% 202.95/203.45 cnf('1.0.0.2',plain,
% 202.95/203.45 ( meet(a,join(c,b)) = meet(join(c,b),a) ),
% 202.95/203.45 inference(reduction,[status(thm)],['1.0.0.1','0.7607.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('1.0.0.3',plain,
% 202.95/203.45 ( meet(a,join(c,b)) = meet(a,join(c,b)) ),
% 202.95/203.45 inference(reduction,[status(thm)],['1.0.0.2','0.7.2.0',theory(equality)]),
% 202.95/203.45 [pos('R','L')]).
% 202.95/203.45 cnf('1.0.0.4',plain,
% 202.95/203.45 ( $true ),
% 202.95/203.45 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 202.95/203.45 [conjecture_1]).
% 202.95/203.45
% 202.95/203.45 Proved Goals:
% 202.95/203.45 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))
% 202.95/203.45 1 goal was specified, which was proved.
% 202.95/203.45 % SZS output end CNFRefutation
% 202.95/203.45 #END OF PROOF
% 202.95/203.45
% 202.95/203.45 Problem WALDMEISTER_30541_n004
% 202.95/203.45 CPs.gen 43127376
% 202.95/203.45 CPs.reexp 0
% 202.95/203.45 Select 1203218
% 202.95/203.45 R 7306
% 202.95/203.45 E 301
% 202.95/203.45 vsize 15.0M
% 202.95/203.45 rss 10.4M
% 202.95/203.45 process.time 202.343s
% 202.95/203.45 wallclock.time 202.458s
% 202.95/203.45 status S
% 202.95/203.45
% 202.95/203.45
% 202.95/203.45 Waldmeister states: Goal proved.
% 202.95/203.45 % SZS status Unsatisfiable
%------------------------------------------------------------------------------